(ABS-NO-DUPS-FILE-P
 (6 6 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 )
(ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P
 (47 3 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (39 1 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (34 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (33 3 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (30 2 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (21 4 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (19 1 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (12 12 (:TYPE-PRESCRIPTION M1-FILE-P))
 (10 2 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (9 4 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (6 4 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (5 5 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (5 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 )
(ABS-NO-DUPS-FILE-FIX
 (8 8 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 )
(ABS-NO-DUPS-FILE-FIX-OF-ABS-NO-DUPS-FILE-FIX
 (356 24 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (348 8 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (300 8 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (277 17 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (222 20 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (156 9 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (154 22 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (122 13 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (101 1 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (92 22 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (92 3 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (91 5 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (91 4 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (81 81 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (78 8 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (60 60 (:TYPE-PRESCRIPTION M1-FILE-P))
 (47 47 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (43 11 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (41 18 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (40 8 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (38 16 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (33 9 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (32 32 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (27 24 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (24 8 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (24 8 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (20 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (18 18 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (18 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (16 16 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (16 16 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (15 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (15 3 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (14 5 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (12 1 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (12 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (10 10 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (10 10 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (9 9 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (7 2 (:REWRITE DEFAULT-CDR))
 (7 2 (:REWRITE DEFAULT-CAR))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (6 6 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (6 3 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (2 2 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 )
(ABS-NO-DUPS-FILE-FIX-WHEN-ABS-NO-DUPS-FILE-P
 (36 12 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (23 4 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (23 3 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (23 3 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (20 8 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (15 1 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (13 1 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (8 2 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (8 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (7 7 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (6 3 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (6 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (5 5 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (5 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (3 3 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (2 1 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1 1 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 )
(ABS-NO-DUPS-FILE-P-OF-ABS-NO-DUPS-FILE-FIX
 (880 46 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (755 50 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (667 22 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (549 27 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (428 17 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (424 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (418 24 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (400 7 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (386 7 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (347 19 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (328 6 (:REWRITE ABS-NO-DUPS-FILE-FIX-WHEN-ABS-NO-DUPS-FILE-P))
 (230 42 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (229 47 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (220 47 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (208 42 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (207 207 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (197 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (147 69 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (129 129 (:TYPE-PRESCRIPTION M1-FILE-P))
 (109 44 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (103 19 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (97 22 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (90 17 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (85 85 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (85 6 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (70 70 (:TYPE-PRESCRIPTION ABS-FS-P))
 (70 14 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (69 69 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (63 23 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (55 46 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (47 47 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (44 3 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (42 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (40 40 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (28 28 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (28 28 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (19 5 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (14 14 (:TYPE-PRESCRIPTION ABS-FILE))
 (12 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (12 1 (:REWRITE ABS-FILE->CONTENTS$INLINE-OF-ABS-FILE-FIX-X))
 (6 6 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (5 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 )
(ABS-NO-DUPS-FILE-P-OF-M1-FILE-WHEN-STRINGP-1
 (97 2 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (88 11 (:DEFINITION LEN))
 (88 8 (:REWRITE M1-FILE-CONTENTS-FIX-WHEN-M1-FILE-CONTENTS-P))
 (41 20 (:REWRITE DEFAULT-<-1))
 (33 11 (:REWRITE DEFAULT-+-2))
 (28 12 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (20 20 (:REWRITE DEFAULT-<-2))
 (20 11 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (11 11 (:REWRITE DEFAULT-CDR))
 (11 11 (:REWRITE DEFAULT-+-1))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (8 8 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (7 2 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 4 (:LINEAR LEN-WHEN-PREFIXP))
 (4 4 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4 2 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (4 2 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (1 1 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 )
(ABS-NO-DUPS-FILE-EQUIV
 (13 13 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 )
(ABS-PLACE-FILE-HELPER
 (91046 2529 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (80545 20305 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (58698 1574 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (28777 2741 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (27384 1302 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (23850 134 (:REWRITE EQUAL-OF-ABS-FILE))
 (21507 1246 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (20625 261 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (20532 1512 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (19914 1504 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (19188 1656 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (16121 1751 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (11863 11863 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (10525 235 (:DEFINITION PUT-ASSOC-EQUAL))
 (8759 4245 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (8056 301 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (7969 3842 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (7677 1203 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (7626 162 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (7404 594 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (7225 1402 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (6520 1338 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (6016 6016 (:REWRITE DEFAULT-CAR))
 (5451 12 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-1))
 (5360 2484 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (5238 1494 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (4954 60 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (4666 31 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (4245 4245 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (3763 1376 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3752 3752 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (3713 12 (:REWRITE CONSP-OF-APPEND))
 (3668 39 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (3459 42 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (3133 3133 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (3119 79 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (3021 57 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (2803 55 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (2708 2708 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (2133 57 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (1812 553 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1737 14 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (1559 1559 (:REWRITE SUBSETP-MEMBER . 2))
 (1559 1559 (:REWRITE SUBSETP-MEMBER . 1))
 (1216 8 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (1199 1199 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (1159 19 (:REWRITE ABS-ADDRS-OF-CTX-APP-LEMMA-6))
 (1140 19 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (1067 98 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (1040 4 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (1028 38 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (987 987 (:REWRITE SUBSETP-TRANS2))
 (987 987 (:REWRITE SUBSETP-TRANS))
 (875 19 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (840 12 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (776 776 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (704 39 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (639 639 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (639 639 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (623 623 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (553 553 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (541 541 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (512 8 (:DEFINITION UNSIGNED-BYTE-P))
 (504 8 (:DEFINITION INTEGER-RANGE-P))
 (456 57 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (402 134 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (398 199 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (393 393 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (393 393 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (384 384 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (384 16 (:REWRITE LENGTH-WHEN-STRINGP))
 (342 57 (:DEFINITION NATP))
 (288 288 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (285 285 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (285 285 (:REWRITE FAT32-FILENAME-P-OF-BASENAME))
 (248 84 (:REWRITE DEFAULT-+-2))
 (232 8 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (193 105 (:REWRITE DEFAULT-<-1))
 (192 192 (:TYPE-PRESCRIPTION NATP))
 (172 4 (:REWRITE ABS-DIRECTORY-FILE-P-OF-ABS-FILE))
 (152 12 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (136 136 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (126 21 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (120 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (115 105 (:REWRITE DEFAULT-<-2))
 (114 57 (:REWRITE SET-EQUIV-ASYM))
 (114 57 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (113 11 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (111 12 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (108 108 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (100 100 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (95 19 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (84 84 (:REWRITE DEFAULT-+-1))
 (76 11 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (70 14 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (68 4 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (60 4 (:DEFINITION TRUE-LISTP))
 (57 57 (:TYPE-PRESCRIPTION SET-EQUIV))
 (57 57 (:REWRITE SUBSETP-MEMBER . 4))
 (57 57 (:REWRITE SUBSETP-MEMBER . 3))
 (57 57 (:REWRITE MEMBER-WHEN-ATOM))
 (57 57 (:REWRITE INTERSECTP-MEMBER . 3))
 (57 57 (:REWRITE INTERSECTP-MEMBER . 2))
 (56 14 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (56 2 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (46 2 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (42 42 (:LINEAR LEN-WHEN-PREFIXP))
 (42 42 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (42 2 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (38 8 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (32 16 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (20 20 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (20 8 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (16 16 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (16 16 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (16 8 (:REWRITE ABS-FILE->CONTENTS-OF-ABS-FILE))
 (12 12 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (12 12 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (12 6 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (12 2 (:REWRITE ABS-ADDRS-OF-TRUE-LIST-FIX))
 (11 11 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (10 10 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (9 9 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (8 8 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (6 6 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (6 6 (:REWRITE SET::IN-SET))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (2 2 (:TYPE-PRESCRIPTION NULL))
 (2 2 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (2 2 (:DEFINITION NULL))
 (1 1 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 )
(ABS-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER
 (40598 1495 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (27881 489 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (13537 392 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (11664 599 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (11273 278 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (9454 412 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (9174 188 (:DEFINITION PUT-ASSOC-EQUAL))
 (7799 721 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (7476 106 (:REWRITE EQUAL-OF-ABS-FILE))
 (7220 1749 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (6798 162 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (6277 608 (:DEFINITION ASSOC-EQUAL))
 (5273 864 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (4830 620 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (4694 477 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (4430 757 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (4113 350 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (4084 484 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (3746 1312 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3392 3392 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (3391 407 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (3264 16 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (3125 1090 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (3119 10 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-1))
 (2915 895 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2888 189 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (2802 36 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (2625 2625 (:REWRITE DEFAULT-CAR))
 (2439 1455 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2410 2410 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2240 416 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2163 23 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (2016 196 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (2004 40 (:DEFINITION UNSIGNED-BYTE-P))
 (1966 1966 (:REWRITE DEFAULT-CDR))
 (1964 40 (:DEFINITION INTEGER-RANGE-P))
 (1872 248 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (1663 10 (:REWRITE CONSP-OF-APPEND))
 (1640 1640 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1610 1610 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1524 362 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (1440 6 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (1312 1312 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1222 39 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (1201 31 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (1092 182 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1092 16 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (1090 1090 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (968 64 (:REWRITE LENGTH-WHEN-STRINGP))
 (882 882 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (834 14 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (814 9 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (812 40 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (790 10 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (732 732 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (723 28 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (709 247 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (700 700 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (648 648 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (628 253 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (564 36 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (552 70 (:DEFINITION LEN))
 (480 16 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (401 401 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (364 364 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (354 354 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (330 34 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (318 106 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (313 157 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (292 12 (:REWRITE ABS-DIRECTORY-FILE-P-OF-ABS-FILE))
 (276 276 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (269 51 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (253 253 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (253 253 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (253 253 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (248 248 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (232 56 (:REWRITE DEFAULT-<-1))
 (229 229 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (210 70 (:REWRITE DEFAULT-+-2))
 (182 182 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (180 6 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (177 177 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (170 34 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (157 157 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (154 14 (:REWRITE SUBSETP-CAR-MEMBER))
 (152 64 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (137 10 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (126 28 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (126 14 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (112 28 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (112 14 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX))
 (112 14 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (106 106 (:TYPE-PRESCRIPTION D-E-P))
 (106 106 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (98 14 (:DEFINITION NATP))
 (93 10 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (92 92 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (92 4 (:DEFINITION LENGTH))
 (88 88 (:LINEAR LEN-WHEN-PREFIXP))
 (88 88 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (88 64 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (87 5 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (80 10 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (70 70 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (70 70 (:REWRITE DEFAULT-+-1))
 (70 20 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (70 14 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (65 65 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (56 56 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (56 56 (:REWRITE DEFAULT-<-2))
 (48 48 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (42 42 (:TYPE-PRESCRIPTION NATP))
 (28 28 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (28 14 (:REWRITE SET-EQUIV-ASYM))
 (28 14 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (24 12 (:REWRITE ABS-FILE->CONTENTS-OF-ABS-FILE))
 (22 11 (:DEFINITION NULL))
 (14 14 (:TYPE-PRESCRIPTION SET-EQUIV))
 (14 14 (:REWRITE SUBSETP-OF-CDR))
 (14 14 (:REWRITE SUBSETP-MEMBER . 4))
 (14 14 (:REWRITE SUBSETP-MEMBER . 3))
 (14 14 (:REWRITE SUBSETP-MEMBER . 2))
 (14 14 (:REWRITE SUBSETP-MEMBER . 1))
 (14 14 (:REWRITE MEMBER-WHEN-ATOM))
 (14 14 (:REWRITE INTERSECTP-MEMBER . 3))
 (14 14 (:REWRITE INTERSECTP-MEMBER . 2))
 (11 11 (:TYPE-PRESCRIPTION NULL))
 (10 10 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (10 10 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 1 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 )
(ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-NO-DUPS-FILE-FIX
 (51956 198 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (47694 456 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (47074 668 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (32649 50 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (23255 843 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (21088 32 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-36))
 (14195 267 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (11505 636 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (11077 32 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (10981 32 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (8875 32 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-1))
 (6372 843 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6012 34 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (3148 884 (:REWRITE DEFAULT-CDR))
 (2785 17 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (2768 476 (:REWRITE DEFAULT-CAR))
 (2396 92 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (1564 36 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1331 32 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1201 46 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (1077 265 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1055 1055 (:TYPE-PRESCRIPTION ABS-FS-P))
 (1055 33 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (1039 7 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (1004 17 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (952 119 (:DEFINITION LEN))
 (636 636 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (630 126 (:REWRITE DEFAULT-<-1))
 (406 406 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (406 406 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (358 8 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (357 119 (:REWRITE DEFAULT-+-2))
 (347 7 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (330 56 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (278 36 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (272 6 (:DEFINITION ABS-ASSOC-DEFINITION))
 (267 15 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (232 14 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (222 15 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (210 20 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (210 6 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (205 60 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (192 84 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (147 5 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (128 128 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (126 126 (:REWRITE DEFAULT-<-2))
 (119 119 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (119 119 (:REWRITE DEFAULT-+-1))
 (117 117 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (66 66 (:LINEAR LEN-WHEN-PREFIXP))
 (66 66 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (64 64 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (60 60 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (56 14 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (56 6 (:DEFINITION ASSOC-EQUAL))
 (45 45 (:TYPE-PRESCRIPTION M1-FILE-P))
 (45 15 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (37 17 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (32 32 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (32 32 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (30 30 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (23 1 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (17 17 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (16 16 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (14 14 (:TYPE-PRESCRIPTION ZP))
 (14 1 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (13 13 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (10 10 (:REWRITE-QUOTED-CONSTANT TRUE-LIST-LIST-FIX-UNDER-TRUE-LIST-LIST-EQUIV))
 (6 6 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (5 5 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (5 5 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (5 5 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (3 1 (:REWRITE ABS-NO-DUPS-FILE-FIX-WHEN-ABS-NO-DUPS-FILE-P))
 (3 1 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (3 1 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-P))
 )
(ABS-NO-DUPS-P-OF-ABS-PLACE-FILE-HELPER
 (63749 2343 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (59683 777 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (55694 22 (:DEFINITION ABS-NO-DUPS-P))
 (50462 44 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (47063 845 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (19991 476 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (19132 796 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (15596 332 (:DEFINITION PUT-ASSOC-EQUAL))
 (15590 666 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (13676 190 (:REWRITE EQUAL-OF-ABS-FILE))
 (13194 1161 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (10803 1044 (:DEFINITION ASSOC-EQUAL))
 (10498 857 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (10300 2511 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (9138 1036 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (8754 190 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (8524 1734 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (7888 1134 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (7624 80 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (7241 725 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (6306 2476 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (5934 454 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (5346 1161 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (5321 538 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (5206 5206 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (4589 4589 (:REWRITE DEFAULT-CAR))
 (4343 1299 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (3840 16 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (3761 2239 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3738 3738 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (3635 1336 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (3318 3318 (:REWRITE DEFAULT-CDR))
 (3026 2850 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2986 326 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (2930 812 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2928 2928 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2860 368 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (2476 2476 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (2387 39 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (1979 75 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (1947 6 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-1))
 (1946 94 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (1878 1878 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1795 15 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (1596 266 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1394 6 (:REWRITE CONSP-OF-APPEND))
 (1336 1336 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1076 538 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (1022 1022 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (890 74 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (829 367 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (736 22 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (709 709 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (590 10 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (576 576 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (570 570 (:TYPE-PRESCRIPTION ABS-FILE))
 (570 190 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (524 6 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (480 16 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (435 435 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (435 435 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (430 5 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (429 83 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (413 413 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (413 413 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (387 387 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (383 16 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (370 74 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (368 368 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (316 22 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (290 22 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (288 288 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (241 241 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (241 241 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (240 240 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (190 190 (:TYPE-PRESCRIPTION D-E-P))
 (190 190 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (160 160 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (132 22 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (110 10 (:REWRITE SUBSETP-CAR-MEMBER))
 (103 103 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (90 20 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (90 10 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (80 20 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (80 10 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX))
 (80 10 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (73 6 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (70 10 (:DEFINITION NATP))
 (50 50 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (50 10 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (49 6 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (48 6 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (42 12 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (40 40 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (30 30 (:TYPE-PRESCRIPTION NATP))
 (22 22 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (20 20 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (20 12 (:REWRITE DEFAULT-<-1))
 (20 10 (:REWRITE SET-EQUIV-ASYM))
 (20 10 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (19 1 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (16 16 (:LINEAR LEN-WHEN-PREFIXP))
 (16 16 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (16 2 (:DEFINITION LEN))
 (14 7 (:DEFINITION NULL))
 (12 12 (:REWRITE DEFAULT-<-2))
 (10 10 (:TYPE-PRESCRIPTION SET-EQUIV))
 (10 10 (:REWRITE SUBSETP-OF-CDR))
 (10 10 (:REWRITE SUBSETP-MEMBER . 4))
 (10 10 (:REWRITE SUBSETP-MEMBER . 3))
 (10 10 (:REWRITE SUBSETP-MEMBER . 2))
 (10 10 (:REWRITE SUBSETP-MEMBER . 1))
 (10 10 (:REWRITE MEMBER-WHEN-ATOM))
 (10 10 (:REWRITE INTERSECTP-MEMBER . 3))
 (10 10 (:REWRITE INTERSECTP-MEMBER . 2))
 (7 7 (:TYPE-PRESCRIPTION NULL))
 (6 6 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (6 6 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (6 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:REWRITE DEFAULT-+-1))
 (2 1 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 )
(ABS-FS-P-OF-ABS-PLACE-FILE-HELPER)
(ABS-PLACE-FILE-HELPER-OF-FAT32-FILENAME-LIST-FIX
 (102475 3453 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (86437 1311 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (64484 3533 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (28168 680 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (27048 1324 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (26810 1018 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (26344 562 (:DEFINITION PUT-ASSOC-EQUAL))
 (24196 338 (:REWRITE EQUAL-OF-ABS-FILE))
 (23731 5652 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (20640 1948 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (16749 1514 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (16610 1637 (:DEFINITION ASSOC-EQUAL))
 (15458 338 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (11880 1192 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (11536 2708 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (10626 3972 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (10208 710 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (10050 10050 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (9340 954 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (9192 1948 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (7574 2278 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (7206 7122 (:REWRITE DEFAULT-CAR))
 (7073 1053 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (6937 1061 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (6852 1444 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (5926 5926 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (5848 5454 (:REWRITE DEFAULT-CDR))
 (5677 2113 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (5515 3401 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (4960 620 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (4680 4680 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4398 4398 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (4202 98 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (3972 3972 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (3786 48 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (3268 1324 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2776 2776 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (2113 2113 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2106 351 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (2025 61 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (1920 8 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (1908 954 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (1638 1638 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (1300 448 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (1171 181 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (1102 54 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (1045 1045 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (1014 1014 (:TYPE-PRESCRIPTION ABS-FILE))
 (1014 338 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (856 856 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (691 691 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (691 691 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (668 668 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (663 663 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (663 663 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (620 620 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (620 620 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (611 611 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (470 77 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (450 46 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (444 428 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (420 420 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (364 364 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (338 338 (:TYPE-PRESCRIPTION D-E-P))
 (338 338 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (240 8 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (230 46 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (136 17 (:DEFINITION LEN))
 (129 129 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (120 120 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (85 17 (:REWRITE DEFAULT-<-1))
 (51 17 (:REWRITE DEFAULT-+-2))
 (42 42 (:LINEAR LEN-WHEN-PREFIXP))
 (42 42 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (17 17 (:REWRITE DEFAULT-<-2))
 (17 17 (:REWRITE DEFAULT-+-1))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 )
(FAT32-FILENAME-LIST-EQUIV-IMPLIES-EQUAL-ABS-PLACE-FILE-HELPER-2
 (12 2 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (4 2 (:REWRITE DEFAULT-CDR))
 (4 2 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 )
(SUBSETP-OF-ABS-ADDRS-OF-ABS-PLACE-FILE-HELPER
 (35989 613 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (13583 344 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (10426 222 (:DEFINITION PUT-ASSOC-EQUAL))
 (10190 976 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (9456 2276 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (9360 130 (:REWRITE EQUAL-OF-ABS-FILE))
 (7472 727 (:DEFINITION ASSOC-EQUAL))
 (6682 793 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (5783 602 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (5612 741 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (5000 988 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (4510 625 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (4195 4195 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (3871 503 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (3821 1129 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (3788 294 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (3195 1158 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (3135 3135 (:REWRITE DEFAULT-CAR))
 (3031 1823 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3021 317 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2974 46 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (2936 2936 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2640 8 (:REWRITE SUBSETP-OF-APPEND-WHEN-SUBSET-OF-EITHER))
 (2429 350 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (2352 252 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (2312 2312 (:REWRITE DEFAULT-CDR))
 (1988 317 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1916 1916 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1703 61 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (1576 324 (:REWRITE SUBSETP-TRANS2))
 (1440 6 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (1340 8 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (1268 18 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (1261 35 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (1260 210 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1158 1158 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1144 440 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (1022 58 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (790 9 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (788 16 (:DEFINITION UNSIGNED-BYTE-P))
 (772 16 (:DEFINITION INTEGER-RANGE-P))
 (752 752 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (718 50 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (603 201 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (539 9 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (518 350 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (497 497 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (495 495 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (492 4 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (476 17 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (420 420 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (396 46 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (390 130 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (329 63 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (328 24 (:REWRITE LENGTH-WHEN-STRINGP))
 (299 299 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (299 299 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (299 299 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (299 299 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (268 4 (:REWRITE CONSP-OF-APPEND))
 (267 267 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (256 256 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (248 32 (:DEFINITION LEN))
 (210 210 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (200 40 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (188 12 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (185 185 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (185 185 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (180 6 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (130 130 (:TYPE-PRESCRIPTION D-E-P))
 (130 130 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (117 29 (:REWRITE DEFAULT-<-1))
 (106 106 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (104 4 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (99 9 (:REWRITE SUBSETP-CAR-MEMBER))
 (96 32 (:REWRITE DEFAULT-+-2))
 (92 4 (:DEFINITION LENGTH))
 (88 8 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (81 9 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (77 77 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (72 18 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (72 9 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX))
 (64 4 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (64 4 (:REWRITE ABS-DIRECTORY-FILE-P-OF-ABS-FILE))
 (63 9 (:DEFINITION NATP))
 (56 24 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (45 45 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (44 44 (:LINEAR LEN-WHEN-PREFIXP))
 (44 44 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (39 39 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (39 39 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (39 39 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (39 39 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (32 32 (:REWRITE DEFAULT-+-1))
 (32 24 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (29 29 (:REWRITE DEFAULT-<-2))
 (27 27 (:TYPE-PRESCRIPTION NATP))
 (26 26 (:REWRITE ABS-TOP-ADDRS-OF-ABS-FS-FIX))
 (26 13 (:REWRITE SET-EQUIV-ASYM))
 (24 24 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-NO-DUPS-FILE-FIX))
 (20 20 (:REWRITE ABSFAT-EQUIV-OF-CTX-APP-LEMMA-1))
 (18 18 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (16 16 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (13 13 (:TYPE-PRESCRIPTION SET-EQUIV))
 (9 9 (:REWRITE SUBSETP-OF-CDR))
 (9 9 (:REWRITE SUBSETP-MEMBER . 4))
 (9 9 (:REWRITE SUBSETP-MEMBER . 3))
 (9 9 (:REWRITE SUBSETP-MEMBER . 2))
 (9 9 (:REWRITE SUBSETP-MEMBER . 1))
 (9 9 (:REWRITE MEMBER-WHEN-ATOM))
 (9 9 (:REWRITE INTERSECTP-MEMBER . 3))
 (9 9 (:REWRITE INTERSECTP-MEMBER . 2))
 (8 8 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 )
(NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-PLACE-FILE-HELPER
 (46260 1013 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (41699 1422 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (38819 3059 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (37676 154 (:REWRITE EQUAL-OF-ABS-FILE))
 (16500 447 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (14038 3372 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (13836 638 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (12904 1222 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (12450 266 (:DEFINITION PUT-ASSOC-EQUAL))
 (10566 1693 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (9713 951 (:DEFINITION ASSOC-EQUAL))
 (9064 1142 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8619 1089 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (7825 251 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (7620 1446 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (5843 5843 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (5704 1572 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (5244 133 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (5072 2919 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (5001 729 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (4394 4394 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4380 1712 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (4152 272 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (4136 4136 (:REWRITE DEFAULT-CAR))
 (4084 12 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (3572 352 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (3266 459 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (3077 3077 (:REWRITE DEFAULT-CDR))
 (2468 2468 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1972 4 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (1932 322 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1824 12 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1712 1712 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1562 515 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (1526 212 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (1510 17 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (1440 6 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (1396 28 (:DEFINITION UNSIGNED-BYTE-P))
 (1368 28 (:DEFINITION INTEGER-RANGE-P))
 (1336 40 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (1081 423 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (1022 180 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (902 82 (:REWRITE SUBSETP-CAR-MEMBER))
 (891 95 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (792 4 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-1))
 (723 723 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (708 82 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (648 44 (:REWRITE LENGTH-WHEN-STRINGP))
 (644 644 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (544 82 (:DEFINITION NATP))
 (462 154 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (460 460 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (459 459 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (452 452 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (424 54 (:DEFINITION LEN))
 (404 78 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (398 398 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (376 24 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (372 372 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (372 372 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (372 372 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (372 372 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (364 90 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (352 44 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX))
 (333 333 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (333 333 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (322 322 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (280 22 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (260 116 (:REWRITE DEFAULT-<-1))
 (220 4 (:REWRITE CONSP-OF-APPEND))
 (192 64 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (180 6 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (164 82 (:REWRITE SET-EQUIV-ASYM))
 (162 54 (:REWRITE DEFAULT-+-2))
 (160 8 (:REWRITE ABS-ADDRS-WHEN-ABSFAT-EQUIV-LEMMA-1))
 (154 154 (:TYPE-PRESCRIPTION D-E-P))
 (154 154 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (144 16 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (120 16 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (116 116 (:REWRITE DEFAULT-<-2))
 (112 12 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (106 106 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (104 44 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (100 100 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (96 96 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-NO-DUPS-FILE-FIX))
 (92 4 (:DEFINITION LENGTH))
 (82 82 (:TYPE-PRESCRIPTION SET-EQUIV))
 (82 82 (:REWRITE SUBSETP-OF-CDR))
 (82 82 (:REWRITE SUBSETP-MEMBER . 4))
 (82 82 (:REWRITE SUBSETP-MEMBER . 3))
 (82 82 (:REWRITE SUBSETP-MEMBER . 2))
 (82 82 (:REWRITE SUBSETP-MEMBER . 1))
 (82 82 (:REWRITE MEMBER-WHEN-ATOM))
 (82 82 (:REWRITE INTERSECTP-MEMBER . 3))
 (82 82 (:REWRITE INTERSECTP-MEMBER . 2))
 (72 72 (:LINEAR LEN-WHEN-PREFIXP))
 (72 72 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (64 4 (:REWRITE ABS-DIRECTORY-FILE-P-OF-ABS-FILE))
 (60 44 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (54 54 (:REWRITE DEFAULT-+-1))
 (52 52 (:TYPE-PRESCRIPTION SET-DIFFERENCE-EQUAL))
 (48 48 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (32 32 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (32 4 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (28 4 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (24 24 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (20 4 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (18 18 (:REWRITE INTERSECTP-MEMBER . 1))
 (18 18 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (18 18 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (18 18 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (18 18 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (18 18 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (18 18 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (18 18 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (18 18 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (18 18 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (18 18 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (18 18 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (18 18 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (16 16 (:REWRITE SUBSETP-TRANS2))
 (16 16 (:REWRITE SUBSETP-TRANS))
 (16 4 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (16 4 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (14 14 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 3))
 (8 8 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (4 4 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (4 4 (:REWRITE ABSFAT-EQUIV-OF-CTX-APP-LEMMA-1))
 )
(ABS-PLACE-FILE
 (74450 358 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (73977 1220 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (69691 718 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (65527 611 (:REWRITE LEN-WHEN-PREFIXP))
 (64483 10 (:DEFINITION ABS-PLACE-FILE))
 (55434 542 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (52426 741 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (35441 24 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (28961 1217 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (28356 588 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (22191 4586 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (11517 1577 (:DEFINITION LEN))
 (10688 794 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (7589 27 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (4840 1686 (:REWRITE DEFAULT-+-2))
 (3720 3364 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (3720 3364 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (3464 3464 (:REWRITE SUBSETP-TRANS2))
 (3464 3464 (:REWRITE SUBSETP-TRANS))
 (3459 1217 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (2602 729 (:REWRITE DEFAULT-<-2))
 (2346 729 (:REWRITE DEFAULT-<-1))
 (2148 2148 (:LINEAR LEN-WHEN-PREFIXP))
 (1894 91 (:REWRITE ZP-OPEN))
 (1764 112 (:REWRITE NFIX-WHEN-ZP))
 (1686 1686 (:REWRITE DEFAULT-+-1))
 (1648 72 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1616 1217 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1288 36 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1263 24 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (1118 1118 (:REWRITE SUBSETP-OF-CDR))
 (1072 691 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (926 926 (:REWRITE DEFAULT-CAR))
 (873 14 (:REWRITE CONSP-OF-NTHCDR))
 (812 7 (:DEFINITION NAT-EQUIV$INLINE))
 (718 718 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (718 718 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (718 718 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (718 718 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (676 72 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (644 468 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (360 108 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (352 108 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (335 335 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (262 262 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (242 19 (:DEFINITION TAKE))
 (219 141 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (218 109 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (210 141 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (203 7 (:REWRITE LEN-OF-DIRNAME))
 (144 36 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (140 28 (:REWRITE LEN-OF-TAKE))
 (130 130 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (110 22 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (108 108 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (108 36 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (108 36 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (85 17 (:REWRITE CONSP-OF-TAKE))
 (78 26 (:REWRITE FOLD-CONSTS-IN-+))
 (72 72 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (72 36 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (42 42 (:TYPE-PRESCRIPTION ZP))
 (24 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (22 22 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (14 14 (:TYPE-PRESCRIPTION NATP))
 (14 14 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (12 12 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (12 3 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (7 7 (:TYPE-PRESCRIPTION NAT-EQUIV$INLINE))
 (4 4 (:TYPE-PRESCRIPTION SET-EQUIV))
 (3 3 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (2 1 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (1 1 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 )
(HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-4
 (1164 291 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (309 309 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (165 8 (:REWRITE DEFAULT-CDR))
 (160 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (123 10 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (109 6 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (107 13 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (93 16 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (70 6 (:DEFINITION ASSOC-EQUAL))
 (52 4 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-1))
 (46 4 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (30 18 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (23 23 (:TYPE-PRESCRIPTION ABS-FS-P))
 (18 18 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (18 18 (:REWRITE DEFAULT-CAR))
 (15 3 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (12 12 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (12 5 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (8 8 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (6 6 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (6 2 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (5 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (4 4 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 )
(ABS-FILE-P-WHEN-M1-FILE-P
 (20 20 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (14 2 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (12 4 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (6 2 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (6 2 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (6 2 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (6 2 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (2 2 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 )
(M1-FILE-P-OF-ABS-FILE
 (631 3 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (322 22 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (314 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-36))
 (290 39 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (265 5 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (210 10 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (208 31 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (184 2 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-1))
 (136 17 (:DEFINITION LEN))
 (127 35 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (110 29 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (83 23 (:REWRITE DEFAULT-<-1))
 (75 39 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (66 2 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (60 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (58 8 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (55 47 (:REWRITE DEFAULT-CDR))
 (53 53 (:TYPE-PRESCRIPTION ABS-FS-P))
 (51 17 (:REWRITE DEFAULT-+-2))
 (46 46 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (46 46 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (46 5 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (46 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (42 8 (:REWRITE HONS-DUPLICITY-ALIST-P-OF-CONS))
 (29 29 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (28 24 (:REWRITE DEFAULT-CAR))
 (27 5 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (23 23 (:REWRITE DEFAULT-<-2))
 (22 17 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (20 20 (:LINEAR LEN-WHEN-PREFIXP))
 (20 20 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (17 17 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (17 17 (:REWRITE DEFAULT-+-1))
 (15 5 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (13 1 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (11 11 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (11 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (8 8 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (7 5 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (6 3 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (6 2 (:DEFINITION NATP))
 (4 4 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (3 3 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (3 3 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (2 1 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (2 1 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 )
(M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER
 (1178 1 (:DEFINITION ABS-PLACE-FILE-HELPER))
 (763 6 (:DEFINITION ABS-PUT-ASSOC-DEFINITION))
 (685 12 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (358 3 (:REWRITE EQUAL-OF-ABS-FILE))
 (300 6 (:DEFINITION PUT-ASSOC-EQUAL))
 (290 5 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (268 3 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (260 7 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (238 5 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (206 13 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (177 3 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (170 38 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (164 38 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (159 15 (:DEFINITION ASSOC-EQUAL))
 (133 10 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (80 80 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (66 6 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (64 64 (:REWRITE DEFAULT-CAR))
 (60 14 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (60 4 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (59 10 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (56 38 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (49 49 (:REWRITE DEFAULT-CDR))
 (49 17 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (45 5 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (42 42 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (39 5 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (39 3 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (38 38 (:TYPE-PRESCRIPTION ZP))
 (38 38 (:TYPE-PRESCRIPTION LEN))
 (38 38 (:TYPE-PRESCRIPTION FRAME-P))
 (38 7 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (35 35 (:TYPE-PRESCRIPTION ABS-FS-P))
 (35 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (35 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (32 11 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (32 8 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (30 2 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (26 26 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (26 4 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (23 1 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (20 20 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (20 20 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (20 17 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (18 6 (:REWRITE ABS-NO-DUPS-FILE-FIX-WHEN-ABS-NO-DUPS-FILE-P))
 (18 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (16 16 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (13 1 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (12 1 (:DEFINITION ABS-ASSOC-DEFINITION))
 (11 11 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (11 1 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (10 10 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (9 9 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (9 9 (:TYPE-PRESCRIPTION ABS-FILE))
 (9 3 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (8 1 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (7 7 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (7 7 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (7 7 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (7 7 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (7 7 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (6 6 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (6 6 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (6 1 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (5 1 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (4 4 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (4 4 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (4 2 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (4 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (3 3 (:TYPE-PRESCRIPTION D-E-P))
 (3 3 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (3 3 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (3 3 (:REWRITE ABS-NO-DUPS-FILE-P-OF-ABS-NO-DUPS-FILE-FIX))
 (3 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1 1 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (1 1 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (1 1 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (1 1 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 )
(ABS-PLACE-FILE-HELPER-OF-ABS-FS-FIX
 (54579 1946 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (36412 560 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (34564 156 (:REWRITE EQUAL-OF-ABS-FILE))
 (33619 1013 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (33416 908 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (30944 156 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (22854 1854 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (20702 656 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (16548 404 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (15056 148 (:REWRITE M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (13092 1048 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (12356 260 (:DEFINITION PUT-ASSOC-EQUAL))
 (9824 104 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-ABS-PLACE-FILE-HELPER . 3))
 (8472 815 (:DEFINITION ASSOC-EQUAL))
 (8128 876 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (7884 392 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (7332 182 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (6839 1684 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (6733 1672 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (6364 1512 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (5837 625 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (5285 630 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (4716 152 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (4710 1908 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (4344 908 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (3836 372 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (3834 3834 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (3588 1830 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3532 1004 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (3508 3500 (:REWRITE DEFAULT-CAR))
 (3190 210 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (3122 3122 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2880 12 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (2725 1042 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2649 2641 (:REWRITE DEFAULT-CDR))
 (2577 267 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (2484 320 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (2424 2424 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2328 2328 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2150 2150 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2144 268 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (1908 1908 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1876 1876 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-FIX))
 (1852 636 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1817 23 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (1760 1760 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1750 1750 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1386 231 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1178 154 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (1042 1042 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (828 828 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (802 106 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (744 372 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (698 698 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (613 613 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (560 232 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (468 468 (:TYPE-PRESCRIPTION ABS-FILE))
 (468 156 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (462 462 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (393 73 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (360 12 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (356 356 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (299 299 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (299 299 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (299 299 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (299 299 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (268 268 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (268 268 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (267 267 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (262 262 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (262 262 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (231 231 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (208 208 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (168 56 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (156 156 (:TYPE-PRESCRIPTION D-E-P))
 (156 156 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (56 56 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-NO-DUPS-FILE-FIX))
 (39 39 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 )
(ABS-PLACE-FILE-HELPER-OF-ABS-NO-DUPS-FILE-FIX
 (39301 1444 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (27204 422 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (25828 120 (:REWRITE EQUAL-OF-ABS-FILE))
 (24924 668 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (23777 759 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (23128 120 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (15028 474 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (13036 1278 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (12292 302 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (11352 112 (:REWRITE M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (9466 758 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (9180 192 (:DEFINITION PUT-ASSOC-EQUAL))
 (7068 76 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-ABS-PLACE-FILE-HELPER . 3))
 (6350 605 (:DEFINITION ASSOC-EQUAL))
 (5684 646 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (5676 224 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (5255 1288 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (5172 132 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (4919 1238 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (4538 1092 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (4311 492 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (4083 455 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (3432 1374 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3428 112 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (3168 668 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (2890 278 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (2882 2882 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (2630 1364 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2600 2596 (:REWRITE DEFAULT-CAR))
 (2568 736 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2384 160 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (2318 2318 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2113 814 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2051 201 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (1969 1965 (:REWRITE DEFAULT-CDR))
 (1944 244 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (1920 8 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (1802 1802 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1704 1704 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1616 202 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (1594 1594 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1376 1376 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-FIX))
 (1374 1374 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1346 458 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1282 1282 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1276 1276 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1110 185 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1041 19 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (856 116 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (814 814 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (624 624 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (556 278 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (536 80 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (516 516 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (447 447 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (424 176 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (370 370 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (360 360 (:TYPE-PRESCRIPTION ABS-FILE))
 (360 120 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (333 61 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (260 260 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (240 8 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (219 219 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (219 219 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (219 219 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (219 219 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (206 206 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (206 206 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (202 202 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (202 202 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (199 199 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (185 185 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (152 152 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (120 120 (:TYPE-PRESCRIPTION D-E-P))
 (120 120 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (84 28 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (76 76 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (40 40 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-NO-DUPS-FILE-FIX))
 (27 27 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 )
(LEMMA
 (7593 262 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (6856 131 (:DEFINITION PUT-ASSOC-EQUAL))
 (6812 633 (:DEFINITION ASSOC-EQUAL))
 (4843 1210 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2738 2738 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (2596 2580 (:REWRITE DEFAULT-CAR))
 (2566 81 (:DEFINITION ABS-FS-P))
 (2533 201 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (1896 1880 (:REWRITE DEFAULT-CDR))
 (1528 1528 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1320 186 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (1230 1230 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1019 258 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (912 854 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (731 189 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (666 111 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (580 29 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (406 29 (:REWRITE ZP-OPEN))
 (396 70 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (336 336 (:TYPE-PRESCRIPTION M1-FILE-HIFAT-FILE-ALIST-FIX))
 (320 64 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (299 23 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (290 290 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-CORRECTNESS-1 . 2))
 (258 258 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (244 244 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (222 222 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (210 6 (:DEFINITION M1-FILE))
 (193 193 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (189 189 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (157 157 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (157 157 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (152 152 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (147 147 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (147 147 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (138 69 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (116 58 (:REWRITE DEFAULT-<-2))
 (111 111 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (69 69 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (60 6 (:REWRITE M1-FILE-CONTENTS-FIX-WHEN-M1-FILE-CONTENTS-P))
 (58 58 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (58 58 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (58 58 (:REWRITE DEFAULT-<-1))
 (46 23 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (36 12 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (26 26 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 )
(ABS-PLACE-FILE-HELPER-CORRECTNESS-1
 (19 3 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (14 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (6 1 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (4 4 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (4 2 (:REWRITE ABS-NO-DUPS-FILE-FIX-WHEN-ABS-NO-DUPS-FILE-P))
 (3 3 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (3 3 (:TYPE-PRESCRIPTION ABS-FS-P))
 (3 1 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (3 1 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (2 1 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (2 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 )
(ABS-TOP-ADDRS-OF-ABS-PLACE-FILE-HELPER
 (44726 1723 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (26340 699 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (22078 1888 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (17205 637 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (16894 730 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (16576 106 (:REWRITE EQUAL-OF-ABS-FILE))
 (14558 106 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (8382 178 (:DEFINITION PUT-ASSOC-EQUAL))
 (7889 879 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (7872 502 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (7772 1880 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (7696 80 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-ABS-PLACE-FILE-HELPER . 3))
 (6540 633 (:DEFINITION ASSOC-EQUAL))
 (6005 1146 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (5515 634 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (5140 112 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (5029 644 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (4032 1578 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3544 98 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (3502 3502 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (3396 730 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (3230 300 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (3089 437 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (2981 1653 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2720 784 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2713 2713 (:REWRITE DEFAULT-CAR))
 (2534 80 (:REWRITE M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (2376 2376 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2353 894 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2340 280 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (1970 134 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (1890 222 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (1888 1888 (:REWRITE DEFAULT-CDR))
 (1760 220 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (1752 526 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1622 1622 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1578 1578 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1236 206 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (960 4 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (894 894 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (813 29 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (748 94 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (600 300 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (566 52 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (520 26 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (433 433 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (412 412 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (398 174 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (364 26 (:REWRITE ZP-OPEN))
 (318 318 (:TYPE-PRESCRIPTION ABS-FILE))
 (318 106 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (300 100 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (269 51 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (260 260 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-OF-APPEND-LEMMA-1))
 (260 260 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-CORRECTNESS-1 . 2))
 (225 225 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (225 225 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (225 225 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (225 225 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (220 220 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (220 220 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (206 206 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (201 201 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (191 191 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (191 191 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (160 160 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (144 144 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (120 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (106 106 (:TYPE-PRESCRIPTION D-E-P))
 (106 106 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (106 54 (:REWRITE DEFAULT-<-2))
 (62 54 (:REWRITE DEFAULT-<-1))
 (52 52 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (52 52 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (47 47 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (38 38 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-NO-DUPS-FILE-FIX))
 (26 26 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-1))
 (16 16 (:LINEAR LEN-WHEN-PREFIXP))
 (16 16 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (16 2 (:DEFINITION LEN))
 (6 2 (:REWRITE DEFAULT-+-2))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (2 2 (:REWRITE DEFAULT-+-1))
 )
(ADDRS-AT-OF-ABS-PLACE-FILE-HELPER-1
 (585170 19429 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (355593 6747 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (265462 20142 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (237308 8434 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (160686 8510 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (159077 3398 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (144703 726 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (139054 5698 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (128281 30259 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (126676 9764 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (124763 639 (:REWRITE EQUAL-OF-ABS-FILE))
 (121329 879 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (116092 2964 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (107685 2924 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (93504 1180 (:REWRITE M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (91400 950 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-ABS-PLACE-FILE-HELPER . 3))
 (82614 16350 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (82294 12535 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (62524 1340 (:DEFINITION PUT-ASSOC-EQUAL))
 (55662 21600 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (52972 50276 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (52259 6007 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (48485 3246 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (44569 988 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (44412 84 (:REWRITE M1-FILE-P-OF-ABS-FILE))
 (38804 8510 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (38690 6053 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (37222 862 (:REWRITE LEN-WHEN-PREFIXP))
 (35460 38 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL))
 (33210 9318 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (32703 23264 (:REWRITE DEFAULT-CAR))
 (31286 1407 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (31010 19261 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (28178 156 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (25906 7122 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (24509 862 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (24403 8921 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (24036 24036 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (22119 3791 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (21600 21600 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (21119 2411 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (20929 1898 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (19730 19730 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-FIX))
 (19618 19618 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (16866 634 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (14350 392 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (13740 13740 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (13047 38 (:REWRITE CONSP-OF-APPEND))
 (11996 240 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (11939 202 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (11777 38 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-1))
 (11683 1686 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (10878 862 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (10010 630 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (9669 3437 (:REWRITE DEFAULT-+-2))
 (9381 1300 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (8921 8921 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (8106 3008 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (8032 2406 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (6423 6423 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (6358 6358 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (6297 202 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (6134 202 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (5892 77 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (5518 2880 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (5401 1871 (:REWRITE ABS-NO-DUPS-FILE-FIX-WHEN-ABS-NO-DUPS-FILE-P))
 (4586 564 (:REWRITE NFIX-WHEN-ZP))
 (4374 3179 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (4048 1749 (:REWRITE DEFAULT-<-2))
 (4046 238 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (3919 229 (:DEFINITION TRUE-LISTP))
 (3777 3777 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (3766 420 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (3491 95 (:REWRITE LEN-OF-DIRNAME))
 (3477 3437 (:REWRITE DEFAULT-+-1))
 (3444 726 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (3360 14 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (3212 1749 (:REWRITE DEFAULT-<-1))
 (3190 123 (:REWRITE CONSP-OF-NTHCDR))
 (3107 104 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (2970 33 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (2775 925 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (2748 458 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (2684 44 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (2586 2586 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (2520 2520 (:LINEAR LEN-WHEN-PREFIXP))
 (2446 2446 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (2411 2411 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (2362 2362 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2362 2362 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (2346 95 (:DEFINITION NAT-EQUIV$INLINE))
 (2294 2294 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (2294 2294 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (2205 2205 (:REWRITE ABS-NO-DUPS-FILE-P-OF-ABS-NO-DUPS-FILE-FIX))
 (2195 2195 (:TYPE-PRESCRIPTION ABS-FILE))
 (2156 2156 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1917 639 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (1555 1555 (:TYPE-PRESCRIPTION D-E-P))
 (1492 38 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (1407 1407 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1407 1407 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1407 1407 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1407 1407 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1374 458 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (1360 272 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (1310 1310 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-NO-DUPS-FILE-FIX))
 (1272 1227 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1260 1260 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (1206 564 (:REWRITE NFIX-WHEN-NATP))
 (1056 1056 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (958 916 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (932 915 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (916 916 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (916 916 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (916 916 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (916 458 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (880 88 (:REWRITE ABS-DIRECTORY-FILE-P-OF-ABS-FILE))
 (736 38 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (726 726 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (724 724 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (639 639 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (563 38 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (522 174 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (484 44 (:REWRITE SUBSETP-CAR-MEMBER))
 (469 27 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (458 458 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (458 458 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (458 458 (:REWRITE SET::IN-SET))
 (420 14 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (396 88 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (396 44 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (352 88 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (352 44 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX))
 (352 44 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (342 38 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (308 44 (:DEFINITION NATP))
 (304 38 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (280 14 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (252 42 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (220 220 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (220 44 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (202 202 (:TYPE-PRESCRIPTION NFIX))
 (180 180 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (180 180 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (176 176 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (160 29 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (152 38 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (140 140 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-OF-APPEND-LEMMA-1))
 (140 140 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-CORRECTNESS-1 . 2))
 (132 132 (:TYPE-PRESCRIPTION NATP))
 (95 95 (:TYPE-PRESCRIPTION NAT-EQUIV$INLINE))
 (88 88 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (88 44 (:REWRITE SET-EQUIV-ASYM))
 (88 44 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (72 72 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (72 72 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (72 8 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (67 67 (:REWRITE ABS-NO-DUPS-P-OF-ABS-PLACE-FILE-HELPER))
 (57 57 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (44 44 (:TYPE-PRESCRIPTION SET-EQUIV))
 (44 44 (:REWRITE SUBSETP-OF-CDR))
 (44 44 (:REWRITE SUBSETP-MEMBER . 4))
 (44 44 (:REWRITE SUBSETP-MEMBER . 3))
 (44 44 (:REWRITE SUBSETP-MEMBER . 2))
 (44 44 (:REWRITE SUBSETP-MEMBER . 1))
 (44 44 (:REWRITE MEMBER-WHEN-ATOM))
 (44 44 (:REWRITE INTERSECTP-MEMBER . 3))
 (44 44 (:REWRITE INTERSECTP-MEMBER . 2))
 (44 22 (:REWRITE ABS-FILE->D-E-OF-ABS-FILE))
 (42 42 (:REWRITE CAR-OF-NTHCDR))
 (38 38 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (28 28 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (28 28 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (22 22 (:REWRITE D-E-FIX-UNDER-D-E-EQUIV))
 (21 21 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (14 14 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (14 14 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (14 14 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-1))
 (10 5 (:DEFINITION NULL))
 (5 5 (:TYPE-PRESCRIPTION NULL))
 )
(NATP-OF-ABS-PLACE-FILE-HELPER
 (40838 1637 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (23634 675 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (18520 1660 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (16019 591 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (15948 684 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (15510 102 (:REWRITE EQUAL-OF-ABS-FILE))
 (13732 102 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (8773 883 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (8346 176 (:DEFINITION PUT-ASSOC-EQUAL))
 (7246 76 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-ABS-PLACE-FILE-HELPER . 3))
 (6832 418 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (6170 595 (:DEFINITION ASSOC-EQUAL))
 (5546 1359 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (5351 612 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (4991 1142 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (4687 578 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (4490 130 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (4430 110 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (3634 1458 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3491 427 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (3168 684 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (3052 284 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (2901 2901 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (2841 1545 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2551 2551 (:REWRITE DEFAULT-CAR))
 (2534 734 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2338 76 (:REWRITE M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (2216 2216 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2185 832 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2078 238 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (2064 144 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (1820 1820 (:REWRITE DEFAULT-CDR))
 (1742 1742 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1670 216 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (1668 486 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1664 208 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (1542 1542 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1458 1458 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1440 6 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (1224 1224 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1104 184 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1037 19 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (832 832 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (786 98 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (568 284 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (548 62 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (520 26 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (474 474 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (421 421 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (384 164 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (368 368 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (364 26 (:REWRITE ZP-OPEN))
 (306 306 (:TYPE-PRESCRIPTION ABS-FILE))
 (306 102 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (260 260 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-OF-APPEND-LEMMA-1))
 (249 47 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (234 78 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (209 209 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (209 209 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (209 209 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (209 209 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (208 208 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (208 208 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (185 185 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (184 184 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (180 6 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (177 177 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (177 177 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (152 152 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (144 144 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (124 72 (:REWRITE DEFAULT-<-2))
 (102 102 (:TYPE-PRESCRIPTION D-E-P))
 (102 102 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (74 72 (:REWRITE DEFAULT-<-1))
 (52 52 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (52 52 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (40 40 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-NO-DUPS-FILE-FIX))
 (33 33 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (26 26 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-1))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 )
(ABS-PLACE-FILE-HELPER-CORRECTNESS-2
 (75929 3250 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (42616 1348 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (31420 1216 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (31031 3150 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (30585 1337 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (29530 205 (:REWRITE EQUAL-OF-ABS-FILE))
 (26024 205 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (15510 1691 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (15270 322 (:DEFINITION PUT-ASSOC-EQUAL))
 (13919 827 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (13563 145 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-ABS-PLACE-FILE-HELPER . 3))
 (12597 1205 (:DEFINITION ASSOC-EQUAL))
 (10665 2607 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (9572 2149 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (9172 1108 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (8988 1178 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8690 221 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (7182 2871 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (7096 175 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (6130 1337 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (6019 553 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (5661 5661 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (5503 3124 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (5381 805 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (5156 5156 (:REWRITE DEFAULT-CAR))
 (4873 1417 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4305 575 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (4298 4298 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4224 1613 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (4216 145 (:REWRITE M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (3905 273 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (3655 3655 (:REWRITE DEFAULT-CDR))
 (3642 957 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3386 3386 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (3373 453 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (3334 413 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (3054 3054 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2871 2871 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (2238 373 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1613 1613 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1483 188 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (1440 6 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (1162 33 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (1106 553 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (933 105 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (912 912 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (799 799 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (788 356 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (746 746 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (633 107 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (615 615 (:TYPE-PRESCRIPTION ABS-FILE))
 (615 205 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (523 141 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (478 413 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (440 440 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-OF-APPEND-LEMMA-1))
 (413 413 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (383 383 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (383 383 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (379 379 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (379 379 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (379 379 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (379 379 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (373 373 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (342 342 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (290 290 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (230 115 (:REWRITE DEFAULT-<-2))
 (205 205 (:TYPE-PRESCRIPTION D-E-P))
 (205 205 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (180 6 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (115 115 (:REWRITE DEFAULT-<-1))
 (110 110 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (110 110 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (62 62 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-NO-DUPS-FILE-FIX))
 (57 57 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (44 44 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-1))
 (24 24 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (12 12 (:LINEAR LEN-WHEN-PREFIXP))
 (12 12 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (10 10 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 )
(LEMMA
 (3204 62 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (2786 24 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (2750 68 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (2614 62 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (2486 44 (:REWRITE LEN-WHEN-PREFIXP))
 (1416 44 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1078 76 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (920 824 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (888 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (792 44 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (606 4 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (590 90 (:DEFINITION LEN))
 (384 144 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (327 39 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (318 12 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (300 3 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (274 94 (:REWRITE DEFAULT-+-2))
 (261 7 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (252 63 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (190 2 (:DEFINITION NTHCDR))
 (182 66 (:REWRITE DEFAULT-<-2))
 (166 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (164 164 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (162 66 (:REWRITE DEFAULT-<-1))
 (151 5 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (144 144 (:REWRITE DEFAULT-CDR))
 (143 14 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (136 136 (:LINEAR LEN-WHEN-PREFIXP))
 (136 136 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (128 4 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (119 33 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (119 16 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (112 56 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (112 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (111 39 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (106 19 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (104 7 (:REWRITE NFIX-WHEN-ZP))
 (102 49 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (95 95 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (94 94 (:REWRITE DEFAULT-+-1))
 (90 10 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (90 7 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (83 83 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (82 82 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (80 68 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (80 40 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (74 62 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (74 62 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (68 68 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (68 68 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (68 68 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (65 17 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (62 62 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (62 62 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (62 62 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (62 62 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (60 4 (:DEFINITION TRUE-LISTP))
 (60 3 (:REWRITE MEMBER-WHEN-ATOM))
 (59 5 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (58 5 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (49 49 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (49 5 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (48 48 (:REWRITE DEFAULT-CAR))
 (48 8 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (45 3 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (44 8 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (44 6 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (35 35 (:TYPE-PRESCRIPTION ABS-FS-P))
 (34 3 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (33 33 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (32 12 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (31 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (31 3 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (28 10 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (28 6 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (27 3 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (24 24 (:TYPE-PRESCRIPTION M1-FILE-P))
 (24 24 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-FIX))
 (24 10 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (24 8 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (24 4 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (24 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (23 7 (:REWRITE NFIX-WHEN-NATP))
 (22 22 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (21 9 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (20 20 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (19 1 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-2))
 (18 10 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (17 17 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (16 16 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (16 16 (:TYPE-PRESCRIPTION D-E-P))
 (16 8 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (15 15 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (10 10 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (10 10 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (10 10 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (10 4 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (9 3 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (9 3 (:DEFINITION NATP))
 (8 8 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (8 8 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (8 8 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (8 8 (:REWRITE SET::IN-SET))
 (8 1 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (6 3 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (6 2 (:REWRITE ABS-NO-DUPS-FILE-FIX-WHEN-ABS-NO-DUPS-FILE-P))
 (5 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (4 4 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (4 4 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (4 4 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (3 3 (:REWRITE SUBSETP-MEMBER . 4))
 (3 3 (:REWRITE SUBSETP-MEMBER . 3))
 (3 3 (:REWRITE SUBSETP-MEMBER . 2))
 (3 3 (:REWRITE SUBSETP-MEMBER . 1))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 3))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 2))
 (3 1 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-NO-DUPS-FILE-FIX))
 (2 2 (:REWRITE ABS-NO-DUPS-FILE-P-OF-ABS-NO-DUPS-FILE-FIX))
 )
(CTX-APP-OK-OF-ABS-PLACE-FILE-HELPER-1
 (3272 65 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (2543 44 (:REWRITE LEN-WHEN-PREFIXP))
 (2528 66 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1146 42 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (957 44 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (888 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (860 9 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (728 104 (:DEFINITION LEN))
 (650 23 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (592 55 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (527 23 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (506 10 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (316 108 (:REWRITE DEFAULT-+-2))
 (287 3 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-ABS-PLACE-FILE-HELPER . 3))
 (224 39 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (215 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (214 98 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (209 137 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (190 2 (:DEFINITION NTHCDR))
 (180 66 (:REWRITE DEFAULT-<-2))
 (158 158 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (158 66 (:REWRITE DEFAULT-<-1))
 (158 15 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (156 156 (:REWRITE DEFAULT-CDR))
 (142 19 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (138 138 (:LINEAR LEN-WHEN-PREFIXP))
 (133 133 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (120 16 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (119 16 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (117 48 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (116 29 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (114 67 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (112 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (108 108 (:REWRITE DEFAULT-+-1))
 (100 21 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (92 4 (:REWRITE NFIX-WHEN-ZP))
 (89 71 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (87 66 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (79 79 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (79 64 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (79 64 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (76 55 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (75 5 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (73 25 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (71 6 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (70 7 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (66 66 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (66 19 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (66 5 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (65 65 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (65 65 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (65 65 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (65 65 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (60 4 (:DEFINITION TRUE-LISTP))
 (58 21 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (58 9 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (58 6 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (53 4 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (49 49 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (48 48 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (48 8 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (46 46 (:REWRITE DEFAULT-CAR))
 (41 41 (:TYPE-PRESCRIPTION ABS-FS-P))
 (40 5 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (38 38 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (37 9 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (36 8 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (33 9 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (33 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (32 12 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (28 28 (:TYPE-PRESCRIPTION M1-FILE-P))
 (24 24 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (24 24 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (24 8 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (24 3 (:REWRITE M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (21 21 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (21 21 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (21 21 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (20 12 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (18 6 (:DEFINITION NATP))
 (16 16 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (16 16 (:TYPE-PRESCRIPTION D-E-P))
 (16 8 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (14 14 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (14 6 (:REWRITE ABS-NO-DUPS-FILE-FIX-WHEN-ABS-NO-DUPS-FILE-P))
 (12 6 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (12 6 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (12 4 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (12 3 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (10 5 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (8 8 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (8 8 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (8 8 (:REWRITE SET::IN-SET))
 (8 4 (:REWRITE NFIX-WHEN-NATP))
 (7 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (6 6 (:TYPE-PRESCRIPTION NATP))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (4 4 (:TYPE-PRESCRIPTION NFIX))
 (4 4 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (4 4 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (4 4 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (3 3 (:REWRITE ABS-FS-P-OF-ABS-PLACE-FILE-HELPER))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 )
(NAMES-AT-OF-ABS-PLACE-FILE-HELPER-LEMMA-1
 (145 20 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (119 15 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (108 2 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (102 7 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (90 11 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (62 15 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (61 7 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (56 8 (:DEFINITION LEN))
 (56 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (55 1 (:DEFINITION NTHCDR))
 (48 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (41 40 (:REWRITE DEFAULT-CDR))
 (39 13 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (32 8 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (30 2 (:DEFINITION TRUE-LISTP))
 (29 28 (:REWRITE DEFAULT-CAR))
 (29 9 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (29 9 (:REWRITE DEFAULT-<-1))
 (26 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (24 8 (:REWRITE DEFAULT-+-2))
 (24 4 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (24 4 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (23 23 (:TYPE-PRESCRIPTION ABS-FS-P))
 (20 20 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (17 9 (:REWRITE DEFAULT-<-2))
 (16 16 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (15 15 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (14 14 (:TYPE-PRESCRIPTION M1-FILE-P))
 (14 6 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (14 1 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (13 13 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (12 12 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (12 12 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (12 12 (:LINEAR LEN-WHEN-PREFIXP))
 (12 12 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (12 4 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (11 1 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (10 6 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (10 2 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (10 2 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (10 2 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (8 8 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (8 8 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE DEFAULT-+-1))
 (8 4 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (6 3 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (6 3 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (6 3 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (6 2 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (6 2 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (6 1 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (5 3 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (4 4 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE SET::IN-SET))
 (4 4 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (4 2 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (4 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (4 1 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (3 3 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (2 2 (:TYPE-PRESCRIPTION NFIX))
 (2 2 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (2 1 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (2 1 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 )
(NAMES-AT-OF-ABS-PLACE-FILE-HELPER-LEMMA-2
 (13 1 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (8 1 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (7 2 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (5 5 (:TYPE-PRESCRIPTION M1-FILE-P))
 (3 1 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3 1 (:REWRITE ABS-NO-DUPS-FILE-FIX-WHEN-ABS-NO-DUPS-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (2 2 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 )
(NAMES-AT-OF-ABS-PLACE-FILE-HELPER-1
 (532457 4958 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (415881 2192 (:REWRITE EQUAL-OF-ABS-FILE))
 (402396 14909 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (397280 10855 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (298787 12520 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (275411 5492 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (236861 2379 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-ABS-PLACE-FILE-HELPER . 3))
 (231205 32771 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (222324 18699 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (217344 2265 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (213769 11333 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (182436 1894 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (125565 16893 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (116536 8079 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (111353 3010 (:REWRITE M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (102377 10099 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (90543 366 (:REWRITE M1-FILE-P-OF-ABS-FILE))
 (82865 821 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (73409 31550 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (72438 819 (:DEFINITION REMOVE-EQUAL))
 (71126 33804 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (69594 12327 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (59749 10935 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (55794 8969 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (49951 12643 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (47924 2162 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (44378 10488 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (39397 905 (:REWRITE LEN-WHEN-PREFIXP))
 (36991 802 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (36682 2369 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (36405 690 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (33357 185 (:REWRITE TAKE-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (32150 32150 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (31550 31550 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (29734 875 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (27553 1506 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (27475 963 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (26809 9629 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (25670 10005 (:REWRITE DEFAULT-+-2))
 (25258 16075 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (24594 905 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (23666 802 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (23626 15602 (:REWRITE DEFAULT-CAR))
 (22948 8408 (:REWRITE ABS-NO-DUPS-FILE-FIX-WHEN-ABS-NO-DUPS-FILE-P))
 (18893 177 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (17650 802 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (17352 942 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (17281 185 (:REWRITE TAKE-WHEN-PREFIXP))
 (16455 8007 (:REWRITE DEFAULT-<-2))
 (15875 1914 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (15470 297 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (14750 80 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (14165 55 (:REWRITE CONSP-OF-APPEND))
 (14000 1441 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (13345 55 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-1))
 (12327 12327 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (10886 1059 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (10375 8007 (:REWRITE DEFAULT-<-1))
 (10153 10005 (:REWRITE DEFAULT-+-1))
 (9714 549 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (9629 9629 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (8455 8395 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (8283 8283 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (7727 3455 (:REWRITE SUBSETP-MEMBER . 1))
 (7564 1671 (:DEFINITION STRIP-CARS))
 (7517 1677 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (7499 3801 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (6851 870 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (6576 2192 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (6491 1711 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (6174 205 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (6156 1114 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (6050 110 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (6006 801 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (5537 4332 (:REWRITE CONSP-OF-STRIP-CARS))
 (5308 792 (:REWRITE NFIX-WHEN-ZP))
 (5273 2361 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (5171 1448 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (5046 151 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (4960 4960 (:LINEAR LEN-WHEN-PREFIXP))
 (4711 801 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (4480 80 (:DEFINITION UNSIGNED-BYTE-P))
 (4407 2720 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (4400 80 (:DEFINITION INTEGER-RANGE-P))
 (4232 120 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (3455 3455 (:REWRITE SUBSETP-MEMBER . 2))
 (3416 204 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (3332 128 (:REWRITE LEN-OF-DIRNAME))
 (3325 185 (:DEFINITION TRUE-LISTP))
 (2932 2932 (:TYPE-PRESCRIPTION D-E-P))
 (2654 2654 (:REWRITE SUBSETP-MEMBER . 4))
 (2654 2654 (:REWRITE INTERSECTP-MEMBER . 3))
 (2654 2654 (:REWRITE INTERSECTP-MEMBER . 2))
 (2652 2607 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (2607 2607 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2560 160 (:REWRITE LENGTH-WHEN-STRINGP))
 (2558 302 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (2535 2535 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (2509 128 (:DEFINITION NAT-EQUIV$INLINE))
 (2497 69 (:REWRITE CONSP-OF-NTHCDR))
 (2444 47 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (2443 217 (:REWRITE ABS-FIND-FILE-HELPER-OF-ABS-FS-FIX))
 (2424 870 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2391 149 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (2366 2366 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (2248 55 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (2220 370 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (2192 2192 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (2162 2162 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2162 2162 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2162 2162 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (2162 2162 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1980 870 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1922 5 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (1894 1894 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (1845 1749 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1730 1730 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (1680 80 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (1658 201 (:REWRITE CAR-OF-TAKE))
 (1602 1602 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (1507 1507 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (1460 1460 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1401 801 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1360 1360 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (1237 201 (:REWRITE FAT32-FILENAME-LIST-P-OF-TAKE))
 (1149 115 (:DEFINITION NATP))
 (1110 370 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (1059 1059 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (870 870 (:REWRITE SUBSETP-TRANS2))
 (870 870 (:REWRITE SUBSETP-TRANS))
 (801 801 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (776 776 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (767 767 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (740 740 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (740 370 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (732 32 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (679 39 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (636 636 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (544 63 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (504 63 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX))
 (408 408 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (408 408 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (370 370 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (370 370 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (370 370 (:REWRITE SET::IN-SET))
 (320 160 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (315 63 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (170 170 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (166 166 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (160 160 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (160 160 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (122 122 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE-CONTENTS-FIX))
 (106 106 (:REWRITE ABS-NO-DUPS-P-OF-ABS-PLACE-FILE-HELPER))
 (104 32 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (94 94 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (72 12 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (69 69 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (64 32 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (44 44 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (39 39 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (12 12 (:REWRITE CAR-OF-NTHCDR))
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(ABS-PLACE-FILE-HELPER-OF-CTX-APP-2
 (205578 199380 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (188905 13675 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (147533 4010 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (140945 359 (:REWRITE ABS-FS-P-OF-CTX-APP))
 (115850 107689 (:REWRITE DEFAULT-CAR))
 (105574 30846 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (89618 8618 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (83409 1530 (:REWRITE REMOVE-WHEN-ABSENT))
 (79964 2084 (:REWRITE ABSFAT-EQUIV-OF-CTX-APP-LEMMA-8))
 (74092 11427 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (63896 510 (:DEFINITION REMOVE-EQUAL))
 (62978 1266 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (62416 62416 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (58463 8664 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (52365 52365 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (50506 177 (:REWRITE ABS-FS-P-OF-APPEND))
 (49900 7755 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (46607 3643 (:REWRITE ZP-OPEN))
 (44042 1544 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (42011 16202 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (40018 1498 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (37937 1468 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (36952 36952 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (36486 11626 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (35983 940 (:REWRITE ASSOC-OF-APPEND-1))
 (29663 13675 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (28915 10390 (:REWRITE DEFAULT-+-2))
 (28025 8280 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (27279 3127 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (21879 7284 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (21879 7284 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (21329 21329 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (20614 20614 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (20228 3494 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (18432 1152 (:REWRITE ASSOC-OF-REMOVE))
 (17380 4010 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (16639 8635 (:REWRITE DEFAULT-<-2))
 (15628 724 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (14620 2924 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (14539 2530 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (13842 1498 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (13406 10307 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (11636 89 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (11160 8635 (:REWRITE DEFAULT-<-1))
 (11151 393 (:REWRITE M1-FILE-P-OF-ABS-FILE))
 (10914 2953 (:REWRITE MEMBER-WHEN-ATOM))
 (10681 10681 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (10571 444 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (10485 10390 (:REWRITE DEFAULT-+-1))
 (10259 89 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (8928 88 (:REWRITE REMOVE-OF-STRIP-CARS-OF-REMOVE))
 (7823 7823 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (7644 1544 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (7510 7510 (:REWRITE SUBSETP-TRANS2))
 (7510 7510 (:REWRITE SUBSETP-TRANS))
 (7481 218 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (7240 1406 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (6832 6832 (:TYPE-PRESCRIPTION STRIP-CARS))
 (5877 2084 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (5858 2929 (:DEFINITION NULL))
 (5824 728 (:REWRITE CAR-OF-APPEND))
 (5735 89 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (5556 5556 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (5363 226 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (5203 441 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (5155 940 (:REWRITE ABS-SEPARATE-CORRECTNESS-1-LEMMA-11))
 (5101 1636 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (5016 275 (:DEFINITION TRUE-LISTP))
 (4731 4731 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (4696 4696 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (4596 1205 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (4596 1205 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (4308 4308 (:TYPE-PRESCRIPTION NAMES-AT))
 (4010 4010 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (3791 3791 (:REWRITE SUBSETP-MEMBER . 4))
 (3791 3791 (:REWRITE INTERSECTP-MEMBER . 3))
 (3791 3791 (:REWRITE INTERSECTP-MEMBER . 2))
 (3790 3790 (:REWRITE SUBSETP-MEMBER . 2))
 (3725 89 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (3640 728 (:REWRITE CONSP-OF-APPEND))
 (3500 175 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (3494 3494 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3458 89 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (3300 550 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (2929 2929 (:TYPE-PRESCRIPTION NULL))
 (2924 2924 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (2758 82 (:REWRITE LEN-OF-DIRNAME))
 (2297 82 (:DEFINITION NAT-EQUIV$INLINE))
 (2196 366 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (2150 1358 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (1946 353 (:DEFINITION STRIP-CARS))
 (1760 528 (:TYPE-PRESCRIPTION INTERSECTP-OF-REMOVE . 2))
 (1650 550 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (1646 142 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (1612 1544 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (1602 176 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (1592 973 (:REWRITE CONSP-OF-STRIP-CARS))
 (1465 1465 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (1456 364 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (1436 1436 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (1372 1372 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (1358 1358 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1318 334 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (1205 1205 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (1205 1205 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (1205 1205 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (1205 1205 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (1205 1205 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (1205 1205 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (1205 1205 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (1205 1205 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (1205 1205 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (1205 1205 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (1205 1205 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (1205 1205 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (1154 577 (:REWRITE SET-EQUIV-ASYM))
 (1100 1100 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (1100 1100 (:TYPE-PRESCRIPTION D-E-P))
 (1100 550 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (1028 1028 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1028 1028 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1028 1028 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1028 1028 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (979 89 (:REWRITE SUBSETP-CAR-MEMBER))
 (914 186 (:DEFINITION NATP))
 (880 176 (:TYPE-PRESCRIPTION INTERSECTP-OF-REMOVE . 1))
 (761 761 (:REWRITE INTERSECTP-MEMBER . 1))
 (672 672 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (620 89 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (577 577 (:TYPE-PRESCRIPTION SET-EQUIV))
 (577 577 (:REWRITE SUBSETP-OF-CDR))
 (560 560 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (560 560 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (550 550 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (550 550 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (550 550 (:REWRITE SET::IN-SET))
 (531 89 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (527 527 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 (449 176 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (445 445 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (408 102 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (374 374 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (366 366 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (366 366 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (357 102 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (352 352 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (350 350 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (350 350 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (300 50 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (261 261 (:REWRITE ADDRS-AT-OF-APPEND-LEMMA-1))
 (220 220 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (204 204 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (204 102 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (186 31 (:REWRITE CONSP-OF-ASSOC-EQUAL-OF-APPEND))
 (184 184 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (178 178 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (178 89 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (176 176 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (172 172 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (156 156 (:REWRITE CONS-OF-FAT32-FILENAME-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (144 144 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (144 48 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (127 127 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (89 89 (:REWRITE MEMBER-OF-STRIP-CARS))
 (82 82 (:TYPE-PRESCRIPTION NAT-EQUIV$INLINE))
 (72 72 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (50 50 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (48 8 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (8 8 (:REWRITE CAR-OF-NTHCDR))
 )
(ABS-PLACE-FILE-HELPER-OF-APPEND-LEMMA-2)
(ABS-LSTAT
 (525 7 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-32))
 (378 14 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (315 14 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (288 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (278 13 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (183 3 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (160 10 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (126 14 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (98 98 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (98 98 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (84 14 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (84 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (75 3 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (72 18 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (71 71 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (70 21 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (63 21 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (54 54 (:TYPE-PRESCRIPTION STRIP-CARS))
 (53 17 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (51 6 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (48 6 (:DEFINITION ASSOC-EQUAL))
 (44 8 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (42 3 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (36 27 (:REWRITE DEFAULT-CAR))
 (34 13 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (33 3 (:REWRITE SUBSETP-CAR-MEMBER))
 (33 3 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (30 12 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (28 28 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (28 14 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (27 6 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (26 17 (:REWRITE DEFAULT-CDR))
 (21 21 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (21 7 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (21 7 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (21 7 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (21 3 (:DEFINITION NATP))
 (20 13 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (18 18 (:TYPE-PRESCRIPTION ZP))
 (18 18 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (18 18 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (17 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (16 16 (:TYPE-PRESCRIPTION ABS-FS-P))
 (15 15 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (15 3 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (14 14 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (14 14 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (14 7 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (14 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (13 13 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (12 12 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (12 12 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (12 3 (:REWRITE MEMBER-WHEN-ATOM))
 (12 3 (:DEFINITION STRIP-CARS))
 (12 2 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (12 1 (:DEFINITION TRUE-LISTP))
 (11 11 (:TYPE-PRESCRIPTION NATP))
 (9 9 (:REWRITE CONSP-OF-STRIP-CARS))
 (8 8 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (8 1 (:DEFINITION LEN))
 (7 7 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (7 7 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (6 6 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (6 6 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (6 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (6 3 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (6 3 (:REWRITE SET-EQUIV-ASYM))
 (6 3 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (6 2 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (4 4 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (4 4 (:TYPE-PRESCRIPTION D-E-P))
 (4 4 (:REWRITE SUBSETP-MEMBER . 2))
 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (4 4 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (4 2 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (3 3 (:TYPE-PRESCRIPTION SET-EQUIV))
 (3 3 (:REWRITE SUBSETP-OF-CDR))
 (3 3 (:REWRITE SUBSETP-MEMBER . 4))
 (3 3 (:REWRITE SUBSETP-MEMBER . 3))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 3))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 2))
 (3 3 (:REWRITE DEFAULT-<-2))
 (3 3 (:REWRITE DEFAULT-<-1))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3 3 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (3 1 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (3 1 (:REWRITE DEFAULT-+-2))
 (3 1 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE SET::IN-SET))
 (2 2 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(ABS-LSTAT-CORRECTNESS-1
 (264 12 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (225 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-32))
 (192 6 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (162 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (135 6 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (120 3 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (120 3 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (108 27 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (105 3 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (72 9 (:DEFINITION ASSOC-EQUAL))
 (54 27 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (54 6 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (48 6 (:DEFINITION LEN))
 (42 42 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (42 42 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (36 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (33 33 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (33 33 (:TYPE-PRESCRIPTION LEN))
 (33 33 (:TYPE-PRESCRIPTION FRAME-P))
 (33 9 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (30 9 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (30 6 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (27 27 (:TYPE-PRESCRIPTION ZP))
 (27 27 (:REWRITE DEFAULT-CAR))
 (27 9 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (24 24 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (18 18 (:TYPE-PRESCRIPTION M1-FILE-P))
 (18 18 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (18 6 (:REWRITE DEFAULT-+-2))
 (18 3 (:REWRITE LENGTH-WHEN-STRINGP))
 (18 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (15 15 (:REWRITE DEFAULT-CDR))
 (12 12 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (12 12 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (12 12 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (12 12 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (12 6 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (12 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (12 3 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (9 9 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (9 9 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (9 9 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (9 9 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (9 9 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (9 3 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (9 3 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (9 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (6 6 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (6 6 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:REWRITE DEFAULT-+-1))
 (6 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (6 3 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (6 3 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (3 3 (:TYPE-PRESCRIPTION ABS-FS-P))
 (3 3 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (3 3 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (3 3 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (3 3 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (2 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1 1 (:REWRITE DEFAULT-<-2))
 )
(ABS-LSTAT-REFINEMENT-LEMMA-2
 (7974 178 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (4368 58 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (4301 248 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (3809 141 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (3641 61 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (2153 303 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (1970 1970 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (1858 181 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1820 455 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1653 58 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (1629 147 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1326 393 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1266 217 (:DEFINITION STRIP-CARS))
 (1098 36 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (1066 116 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1028 248 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (792 36 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (760 760 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (669 58 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (668 455 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (646 576 (:REWRITE DEFAULT-CAR))
 (644 105 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (630 45 (:REWRITE ZP-OPEN))
 (504 18 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (459 102 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (453 102 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (450 18 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (420 141 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (409 339 (:REWRITE DEFAULT-CDR))
 (393 393 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (367 43 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (329 329 (:TYPE-PRESCRIPTION PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-19))
 (308 308 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (308 77 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (292 98 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (270 36 (:DEFINITION ASSOC-EQUAL))
 (267 18 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-32))
 (258 21 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (248 248 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (234 78 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (216 98 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (209 119 (:REWRITE DEFAULT-<-2))
 (198 18 (:REWRITE SUBSETP-CAR-MEMBER))
 (198 18 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (178 178 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (171 35 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (163 163 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (163 163 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (156 119 (:REWRITE DEFAULT-<-1))
 (154 154 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (142 142 (:TYPE-PRESCRIPTION ABS-FS-P))
 (140 5 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (128 16 (:DEFINITION LEN))
 (126 18 (:DEFINITION NATP))
 (123 123 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (105 105 (:REWRITE SUBSETP-TRANS))
 (105 105 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (105 105 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (99 99 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (90 18 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (78 78 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (72 72 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (72 18 (:REWRITE MEMBER-WHEN-ATOM))
 (68 68 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (68 68 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (60 60 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (55 55 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (54 54 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (48 16 (:REWRITE DEFAULT-+-2))
 (42 21 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (38 5 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (36 36 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (36 18 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (36 18 (:REWRITE SET-EQUIV-ASYM))
 (36 9 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (33 33 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (32 7 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (21 21 (:TYPE-PRESCRIPTION SET-EQUIV))
 (21 21 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (18 18 (:REWRITE SUBSETP-OF-CDR))
 (18 18 (:REWRITE SUBSETP-MEMBER . 4))
 (18 18 (:REWRITE SUBSETP-MEMBER . 3))
 (18 18 (:REWRITE SUBSETP-MEMBER . 2))
 (18 18 (:REWRITE SUBSETP-MEMBER . 1))
 (18 18 (:REWRITE INTERSECTP-MEMBER . 3))
 (18 18 (:REWRITE INTERSECTP-MEMBER . 2))
 (18 18 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (18 18 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (18 18 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (18 18 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (18 18 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (16 16 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (16 16 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (16 16 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (16 16 (:REWRITE DEFAULT-+-1))
 (16 16 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (16 1 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (15 15 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (15 15 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (15 15 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (14 2 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (12 12 (:LINEAR LEN-WHEN-PREFIXP))
 (12 12 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (11 1 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (6 2 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (5 5 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE))
 (5 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (3 3 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (1 1 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE))
 )
(ABS-LSTAT-REFINEMENT
 (688 16 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (470 18 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (462 23 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (381 5 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (300 75 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (288 23 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (282 16 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (274 24 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (209 8 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (184 6 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (183 15 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (164 13 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (156 48 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (155 3 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (153 3 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (148 148 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (132 6 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (129 129 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (121 5 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (120 21 (:DEFINITION STRIP-CARS))
 (116 25 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (111 11 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (94 92 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (85 74 (:REWRITE DEFAULT-CAR))
 (85 18 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (84 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (79 75 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (79 50 (:REWRITE DEFAULT-CDR))
 (79 18 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (75 3 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (75 3 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (68 20 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (68 17 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (66 66 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (66 16 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (66 9 (:DEFINITION ASSOC-EQUAL))
 (60 16 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (56 56 (:TYPE-PRESCRIPTION STRIP-CARS))
 (55 5 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (52 8 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (50 6 (:DEFINITION LEN))
 (48 48 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (47 23 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (42 3 (:REWRITE ZP-OPEN))
 (40 40 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (35 7 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (35 2 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (35 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (34 10 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (33 3 (:REWRITE SUBSETP-CAR-MEMBER))
 (33 3 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (32 24 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (28 10 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (27 27 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (24 24 (:TYPE-PRESCRIPTION ABS-FS-P))
 (24 24 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (24 3 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (22 22 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (22 22 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (21 3 (:DEFINITION NATP))
 (20 3 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (19 2 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (18 18 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (18 18 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (18 18 (:REWRITE SUBSETP-TRANS2))
 (18 18 (:REWRITE SUBSETP-TRANS))
 (18 12 (:REWRITE CONSP-OF-STRIP-CARS))
 (18 6 (:REWRITE DEFAULT-+-2))
 (17 17 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (16 16 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (16 16 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (16 16 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (16 8 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (16 4 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (15 15 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (15 9 (:REWRITE DEFAULT-<-2))
 (15 5 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (15 3 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (12 12 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (12 12 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (12 3 (:REWRITE MEMBER-WHEN-ATOM))
 (12 2 (:REWRITE LENGTH-WHEN-STRINGP))
 (10 10 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (9 9 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (9 9 (:REWRITE DEFAULT-<-1))
 (9 9 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (8 8 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (8 8 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (8 8 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (8 8 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (8 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (8 8 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (7 7 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (7 7 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (7 2 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION NATP))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (6 6 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:REWRITE DEFAULT-+-1))
 (6 3 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (6 3 (:REWRITE SET-EQUIV-ASYM))
 (6 2 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (5 5 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (4 4 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (4 4 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (4 4 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (4 4 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (3 3 (:TYPE-PRESCRIPTION SET-EQUIV))
 (3 3 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (3 3 (:REWRITE SUBSETP-OF-CDR))
 (3 3 (:REWRITE SUBSETP-MEMBER . 4))
 (3 3 (:REWRITE SUBSETP-MEMBER . 3))
 (3 3 (:REWRITE SUBSETP-MEMBER . 2))
 (3 3 (:REWRITE SUBSETP-MEMBER . 1))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 3))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 2))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (3 3 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (2 2 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE))
 (2 2 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE))
 )
(ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1)
(FRAME-P-OF-ABS-PLACE-FILE
 (275549 1587 (:REWRITE LEN-WHEN-PREFIXP))
 (257968 2004 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (238476 1577 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (179649 2775 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (146278 1587 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (142603 2009 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (46804 5042 (:DEFINITION LEN))
 (41354 5168 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (23063 5044 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (15366 5282 (:REWRITE DEFAULT-+-2))
 (12671 2147 (:REWRITE DEFAULT-<-2))
 (10370 704 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (9993 2147 (:REWRITE DEFAULT-<-1))
 (9593 244 (:REWRITE ZP-OPEN))
 (9079 75 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (8908 261 (:REWRITE NFIX-WHEN-ZP))
 (6286 6286 (:LINEAR LEN-WHEN-PREFIXP))
 (6044 2795 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (5407 1999 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (5282 5282 (:REWRITE DEFAULT-+-1))
 (5119 1999 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (4892 3902 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (4892 3902 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (4698 34 (:REWRITE TAKE-OF-FAT32-FILENAME-LIST-FIX))
 (4012 4012 (:REWRITE SUBSETP-TRANS2))
 (4012 4012 (:REWRITE SUBSETP-TRANS))
 (3990 266 (:DEFINITION TRUE-LISTP))
 (3878 37 (:REWRITE CONSP-OF-NTHCDR))
 (3199 2020 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (3072 202 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (3068 202 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (2862 202 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (2759 77 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (2527 532 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (2516 2514 (:REWRITE DEFAULT-CAR))
 (2192 2192 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (2004 2004 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2004 2004 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2004 2004 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (2004 2004 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1352 134 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1330 1330 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (1330 532 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (1085 62 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (1032 1032 (:REWRITE SUBSETP-OF-CDR))
 (984 984 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (922 74 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (798 798 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (798 798 (:TYPE-PRESCRIPTION D-E-P))
 (798 399 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (793 793 (:REWRITE CONSP-OF-LIST-FIX))
 (724 204 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (696 202 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (671 6 (:DEFINITION NAT-EQUIV$INLINE))
 (589 31 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-2))
 (588 40 (:DEFINITION TAKE))
 (532 532 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (399 399 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (399 399 (:REWRITE SET::IN-SET))
 (386 6 (:REWRITE LEN-OF-DIRNAME))
 (321 65 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (310 310 (:TYPE-PRESCRIPTION NATP-OF-ABS-PLACE-FILE-HELPER))
 (276 72 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (242 11 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (222 68 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (222 68 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (219 23 (:REWRITE LEN-OF-TAKE))
 (204 204 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (202 202 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (186 31 (:REWRITE ABS-NO-DUPS-FILE-FIX-WHEN-ABS-NO-DUPS-FILE-P))
 (186 31 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (168 14 (:REWRITE CONSP-OF-TAKE))
 (153 153 (:TYPE-PRESCRIPTION ZP))
 (138 46 (:REWRITE FOLD-CONSTS-IN-+))
 (136 136 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (136 68 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (124 124 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (124 124 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-FIX))
 (93 93 (:TYPE-PRESCRIPTION M1-FILE-P))
 (93 31 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (93 31 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (93 31 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (80 80 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (62 62 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (62 62 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (60 30 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (60 30 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (60 15 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (39 39 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (28 7 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (17 7 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (12 12 (:TYPE-PRESCRIPTION NATP))
 (7 7 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (6 6 (:TYPE-PRESCRIPTION NAT-EQUIV$INLINE))
 (5 5 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 )
(ABS-REMOVE-FILE
 (74450 358 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (73977 1220 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (69691 718 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (65527 611 (:REWRITE LEN-WHEN-PREFIXP))
 (64510 10 (:DEFINITION ABS-REMOVE-FILE))
 (55434 542 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (52426 741 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (35441 24 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (28961 1217 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (28356 588 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (22191 4586 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (11517 1577 (:DEFINITION LEN))
 (10688 794 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (7589 27 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (4840 1686 (:REWRITE DEFAULT-+-2))
 (3720 3364 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (3720 3364 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (3464 3464 (:REWRITE SUBSETP-TRANS2))
 (3464 3464 (:REWRITE SUBSETP-TRANS))
 (3459 1217 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (2602 729 (:REWRITE DEFAULT-<-2))
 (2346 729 (:REWRITE DEFAULT-<-1))
 (2148 2148 (:LINEAR LEN-WHEN-PREFIXP))
 (1894 91 (:REWRITE ZP-OPEN))
 (1764 112 (:REWRITE NFIX-WHEN-ZP))
 (1686 1686 (:REWRITE DEFAULT-+-1))
 (1616 1217 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1263 24 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (1118 1118 (:REWRITE SUBSETP-OF-CDR))
 (1072 691 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (932 932 (:REWRITE DEFAULT-CAR))
 (873 14 (:REWRITE CONSP-OF-NTHCDR))
 (812 7 (:DEFINITION NAT-EQUIV$INLINE))
 (718 718 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (718 718 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (718 718 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (718 718 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (712 76 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (644 468 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (380 114 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (370 114 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (335 335 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (262 262 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (242 19 (:DEFINITION TAKE))
 (219 141 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (218 109 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (210 141 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (203 7 (:REWRITE LEN-OF-DIRNAME))
 (152 38 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (140 28 (:REWRITE LEN-OF-TAKE))
 (130 130 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (114 114 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (114 38 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (114 38 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (110 22 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (85 17 (:REWRITE CONSP-OF-TAKE))
 (78 26 (:REWRITE FOLD-CONSTS-IN-+))
 (76 76 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (76 38 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (66 11 (:REWRITE HIFAT-REMOVE-FILE-CORRECTNESS-4))
 (55 55 (:TYPE-PRESCRIPTION HIFAT-REMOVE-FILE-CORRECTNESS-1 . 1))
 (42 42 (:TYPE-PRESCRIPTION ZP))
 (39 13 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (24 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (22 22 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (14 14 (:TYPE-PRESCRIPTION NATP))
 (14 14 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (14 4 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (13 13 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (12 12 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (12 3 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (7 7 (:TYPE-PRESCRIPTION NAT-EQUIV$INLINE))
 (6 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION SET-EQUIV))
 (3 3 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 1 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (1 1 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 )
(ABS-MKDIR-GUARD-LEMMA-1)
(ABS-MKDIR
 (4778 71 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (4044 8 (:DEFINITION ABS-FIND-FILE-HELPER))
 (3520 54 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (3267 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-32))
 (3170 14 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (2993 1 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (2532 1 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (2527 3 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (2480 16 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2330 2 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (2070 8 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (1474 529 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1386 27 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1323 3 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (1219 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (1200 16 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (1093 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (991 4 (:DEFINITION NTHCDR))
 (974 70 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (966 107 (:DEFINITION ASSOC-EQUAL))
 (957 6 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (955 25 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (904 16 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (900 20 (:LINEAR PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9))
 (888 8 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (880 17 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (866 51 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (863 8 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (802 35 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (772 450 (:REWRITE DEFAULT-CDR))
 (736 32 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (672 16 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (658 23 (:REWRITE NFIX-WHEN-ZP))
 (626 225 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (616 86 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (568 111 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (503 29 (:REWRITE SUBSETP-CAR-MEMBER))
 (495 35 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (480 441 (:REWRITE DEFAULT-CAR))
 (462 3 (:REWRITE FIND-NEW-INDEX-CORRECTNESS-1))
 (443 90 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (402 8 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (400 8 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (400 8 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (400 5 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (375 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (360 24 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (337 54 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (327 37 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-8))
 (284 5 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (283 6 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (266 45 (:DEFINITION STRIP-CARS))
 (261 1 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-ALLOC-1))
 (256 8 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (244 42 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (240 16 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (238 17 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (231 71 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (225 225 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (222 222 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (222 6 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (218 72 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (209 72 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (205 6 (:REWRITE LEN-OF-DIRNAME))
 (192 24 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (175 11 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (155 9 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (144 58 (:REWRITE DEFAULT-<-2))
 (144 19 (:DEFINITION LEN))
 (142 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (141 12 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (138 3 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 1))
 (136 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (129 42 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (120 3 (:DEFINITION PUT-ASSOC-EQUAL))
 (115 115 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (112 8 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (111 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-4))
 (108 1 (:REWRITE ABS-SEPARATE-OF-PARTIAL-COLLAPSE))
 (101 1 (:REWRITE EQUAL-OF-FRAME-VAL))
 (97 97 (:TYPE-PRESCRIPTION M1-FILE-P))
 (95 8 (:REWRITE MEMBER-WHEN-ATOM))
 (90 90 (:TYPE-PRESCRIPTION NATP))
 (90 90 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (88 8 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (86 58 (:REWRITE DEFAULT-<-1))
 (84 84 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (79 33 (:REWRITE DEFAULT-+-2))
 (77 23 (:REWRITE NFIX-WHEN-NATP))
 (76 76 (:REWRITE SUBSETP-TRANS2))
 (76 76 (:REWRITE SUBSETP-TRANS))
 (75 27 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-8))
 (70 70 (:LINEAR LEN-WHEN-PREFIXP))
 (70 70 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (68 5 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (66 17 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (64 8 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (60 60 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (57 6 (:DEFINITION NATP))
 (56 56 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (56 8 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (56 4 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (54 54 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (54 3 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (46 46 (:REWRITE SUBSETP-MEMBER . 2))
 (46 46 (:REWRITE SUBSETP-MEMBER . 1))
 (44 4 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-1 . 1))
 (40 8 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (38 38 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (38 19 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (38 8 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (37 1 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (33 33 (:REWRITE DEFAULT-+-1))
 (32 16 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (30 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (27 6 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (26 2 (:DEFINITION NFIX))
 (25 25 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-PARTIAL-COLLAPSE))
 (24 24 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (24 12 (:REWRITE CONSP-OF-STRIP-CARS))
 (19 19 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (19 19 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (19 19 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (18 18 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (18 18 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (18 18 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (18 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (17 17 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (17 17 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (17 11 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (17 5 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (16 16 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (16 16 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (16 8 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (16 7 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (14 14 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (12 12 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (12 6 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (12 4 (:REWRITE COMMUTATIVITY-OF-+))
 (12 2 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (11 11 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (10 5 (:REWRITE SET-EQUIV-ASYM))
 (10 2 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (10 1 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-DIR-STREAM-TABLE-P))
 (9 9 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (8 8 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (8 8 (:REWRITE SUBSETP-MEMBER . 4))
 (8 8 (:REWRITE SUBSETP-MEMBER . 3))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 3))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 2))
 (8 8 (:REWRITE ABS-NO-DUPS-P-OF-FRAME->ROOT))
 (7 3 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (6 6 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (6 3 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (6 1 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (5 5 (:TYPE-PRESCRIPTION SET-EQUIV))
 (5 5 (:REWRITE SUBSETP-OF-CDR))
 (5 1 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (5 1 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (5 1 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE-ASSOC))
 (4 4 (:TYPE-PRESCRIPTION NULL))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (4 4 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (4 4 (:DEFINITION NULL))
 (4 1 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (3 3 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (3 3 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (3 3 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (3 3 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (3 1 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-6))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 )
(ABS-MKDIR-CORRECTNESS-1
 (5235 84 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (5064 24 (:LINEAR PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9))
 (4314 441 (:REWRITE DEFAULT-CDR))
 (3750 45 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-PARTIAL-COLLAPSE))
 (3264 6 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (3015 9 (:REWRITE ABS-FIND-FILE-SRC-CORRECTNESS-1))
 (2670 84 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (2430 78 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (2355 6 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (2307 3 (:DEFINITION NTHCDR))
 (2274 3 (:DEFINITION NAT-EQUIV$INLINE))
 (2007 6 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (1983 36 (:REWRITE NFIX-WHEN-ZP))
 (1902 12 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (1815 1041 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (1755 162 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1686 6 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1545 171 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1536 1536 (:TYPE-PRESCRIPTION STRIP-CARS))
 (1503 84 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1371 90 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1308 1308 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE))
 (1305 216 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1278 267 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1188 192 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (1161 12 (:REWRITE LEN-OF-DIRNAME))
 (1032 1032 (:TYPE-PRESCRIPTION LEN))
 (924 84 (:REWRITE SUBSETP-CAR-MEMBER))
 (807 30 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (798 90 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (789 537 (:REWRITE DEFAULT-CAR))
 (780 267 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (762 6 (:REWRITE FIND-NEW-INDEX-CORRECTNESS-1))
 (663 21 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (660 72 (:DEFINITION ASSOC-EQUAL))
 (636 636 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (624 78 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-12))
 (594 15 (:DEFINITION PUT-ASSOC-EQUAL))
 (531 177 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (495 78 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (486 96 (:DEFINITION STRIP-CARS))
 (468 468 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (465 36 (:REWRITE NFIX-WHEN-NATP))
 (426 426 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (423 90 (:REWRITE MEMBER-WHEN-ATOM))
 (417 21 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (384 171 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (367 169 (:REWRITE DEFAULT-<-2))
 (366 264 (:REWRITE CONSP-OF-STRIP-CARS))
 (366 177 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (363 12 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (306 12 (:DEFINITION NFIX))
 (303 303 (:TYPE-PRESCRIPTION FRAME-P))
 (300 21 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-8))
 (285 285 (:TYPE-PRESCRIPTION ZP))
 (278 169 (:REWRITE DEFAULT-<-1))
 (270 18 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (240 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-32))
 (237 3 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (225 84 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (210 3 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (201 3 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 1))
 (195 48 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (192 192 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (177 177 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (177 177 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (177 48 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (174 174 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (168 84 (:REWRITE SET-EQUIV-ASYM))
 (162 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (159 12 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (156 156 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (156 156 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (156 156 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (153 12 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (147 18 (:DEFINITION LEN))
 (132 132 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (117 36 (:REWRITE DEFAULT-+-2))
 (114 114 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (108 45 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (108 6 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (105 105 (:TYPE-PRESCRIPTION FIND-NEW-INDEX-CORRECTNESS-LEMMA-1))
 (96 96 (:REWRITE SUBSETP-MEMBER . 2))
 (96 96 (:REWRITE SUBSETP-MEMBER . 1))
 (90 90 (:REWRITE SUBSETP-MEMBER . 4))
 (90 90 (:REWRITE SUBSETP-MEMBER . 3))
 (90 90 (:REWRITE INTERSECTP-MEMBER . 3))
 (90 90 (:REWRITE INTERSECTP-MEMBER . 2))
 (84 84 (:TYPE-PRESCRIPTION SET-EQUIV))
 (84 84 (:REWRITE SUBSETP-OF-CDR))
 (84 84 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (72 72 (:LINEAR LEN-WHEN-PREFIXP))
 (72 72 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (63 63 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (63 63 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (60 9 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (57 12 (:REWRITE FRAME-P-OF-PARTIAL-COLLAPSE))
 (54 54 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (54 9 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (48 48 (:REWRITE SUBSETP-TRANS2))
 (48 48 (:REWRITE SUBSETP-TRANS))
 (48 21 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (42 42 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (42 42 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (36 36 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (36 36 (:REWRITE DEFAULT-+-1))
 (36 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (30 30 (:TYPE-PRESCRIPTION NFIX))
 (30 3 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (27 27 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (27 9 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (24 24 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (21 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (18 18 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (18 18 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (18 9 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (18 9 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (18 3 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (18 3 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (15 15 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (12 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (9 9 (:TYPE-PRESCRIPTION M1-FILE-P))
 (9 3 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (9 3 (:REWRITE COMMUTATIVITY-OF-+))
 (6 6 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (6 6 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (6 6 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (6 3 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3 3 (:TYPE-PRESCRIPTION NAT-EQUIV$INLINE))
 (3 3 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (3 3 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (3 3 (:REWRITE NFIX-UNDER-NAT-EQUIV))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (3 3 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (3 3 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-8
 (92 23 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (47 47 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (37 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (30 2 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (27 1 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (21 1 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (17 1 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (16 4 (:DEFINITION STRIP-CARS))
 (11 11 (:REWRITE DEFAULT-CAR))
 (11 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (10 10 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (10 1 (:DEFINITION ASSOC-EQUAL))
 (6 4 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (6 2 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (6 2 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (6 1 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (5 5 (:REWRITE DEFAULT-CDR))
 (5 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (5 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (5 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (2 2 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2 2 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE SUBSETP-TRANS2))
 (1 1 (:REWRITE SUBSETP-TRANS))
 (1 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-31))
 (1 1 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (1 1 (:REWRITE CONSP-OF-STRIP-CARS))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-9
 (240 60 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (80 80 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-11
 (92 40 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (58 2 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (37 1 (:DEFINITION PUT-ASSOC-EQUAL))
 (16 2 (:DEFINITION ASSOC-EQUAL))
 (9 9 (:REWRITE DEFAULT-CAR))
 (6 6 (:TYPE-PRESCRIPTION ZP))
 (6 6 (:TYPE-PRESCRIPTION LEN))
 (6 6 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (5 5 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-12
 (159 7 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (136 2 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (86 22 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (58 2 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (56 7 (:DEFINITION ASSOC-EQUAL))
 (46 22 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (37 1 (:DEFINITION PUT-ASSOC-EQUAL))
 (30 30 (:REWRITE DEFAULT-CAR))
 (22 22 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (22 22 (:TYPE-PRESCRIPTION FRAME-P))
 (21 21 (:TYPE-PRESCRIPTION ZP))
 (21 21 (:TYPE-PRESCRIPTION LEN))
 (20 20 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (13 13 (:REWRITE DEFAULT-CDR))
 (7 7 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (7 7 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (7 7 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (5 5 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2 2 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (1 1 (:REWRITE ASSOC-AFTER-PUT-ASSOC))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-1
 (556 139 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (147 147 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (139 139 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (78 7 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (60 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (45 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (44 2 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (35 1 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (25 7 (:REWRITE DEFAULT-CDR))
 (24 4 (:DEFINITION STRIP-CARS))
 (20 4 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (18 6 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (17 1 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (12 4 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (11 11 (:REWRITE DEFAULT-CAR))
 (10 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (7 1 (:DEFINITION ASSOC-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (5 5 (:REWRITE SUBSETP-TRANS))
 (5 1 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (4 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3 3 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (3 3 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (3 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3 1 (:REWRITE CONSP-OF-STRIP-CARS))
 (3 1 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION STRIP-CARS))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION DIRNAME))
 (2 2 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (2 2 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (2 1 (:REWRITE CONSP-OF-DIRNAME))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-25
 (87523 788 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (84728 832 (:REWRITE LEN-WHEN-PREFIXP))
 (54560 1323 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (48908 40 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (46302 8 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (32668 4150 (:DEFINITION LEN))
 (31444 5724 (:REWRITE DEFAULT-CDR))
 (28690 32 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (19247 2894 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (12482 4182 (:REWRITE DEFAULT-+-2))
 (9275 1840 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (7893 447 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (4836 128 (:REWRITE NFIX-WHEN-ZP))
 (4662 86 (:REWRITE ZP-OPEN))
 (4548 4548 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (4528 48 (:REWRITE REMOVE-WHEN-ABSENT))
 (4182 4182 (:REWRITE DEFAULT-+-1))
 (3692 3692 (:LINEAR LEN-WHEN-PREFIXP))
 (3486 966 (:REWRITE DEFAULT-<-2))
 (3280 16 (:DEFINITION NTHCDR))
 (2943 1752 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2943 1752 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2874 966 (:REWRITE DEFAULT-<-1))
 (2460 164 (:DEFINITION TRUE-LISTP))
 (2206 2206 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (2124 1422 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1822 32 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1808 1808 (:REWRITE SUBSETP-TRANS2))
 (1808 1808 (:REWRITE SUBSETP-TRANS))
 (1728 16 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1649 1419 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1646 166 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (1558 328 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1472 16 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1376 80 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1364 893 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1355 893 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1312 16 (:DEFINITION REMOVE-EQUAL))
 (1266 166 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (1176 1176 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (1064 1064 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1064 1064 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1064 1064 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1064 1064 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1040 16 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (992 16 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (876 876 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (828 828 (:REWRITE CONSP-OF-LIST-FIX))
 (820 328 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (816 816 (:TYPE-PRESCRIPTION STRIP-CARS))
 (776 8 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (768 16 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (752 16 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (624 48 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (571 250 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (543 543 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (520 250 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (492 492 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (492 492 (:TYPE-PRESCRIPTION D-E-P))
 (492 246 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (352 96 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (344 72 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (344 72 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (344 16 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (336 16 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (334 164 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (328 328 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (304 80 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (296 16 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (288 16 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (246 246 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (246 246 (:REWRITE SET::IN-SET))
 (240 128 (:REWRITE CONSP-OF-STRIP-CARS))
 (240 64 (:REWRITE MEMBER-WHEN-ATOM))
 (240 16 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (232 72 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (224 48 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (208 16 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (192 16 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (192 16 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (176 16 (:REWRITE SUBSETP-CAR-MEMBER))
 (166 166 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (160 64 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (160 32 (:DEFINITION NATP))
 (158 158 (:TYPE-PRESCRIPTION ZP))
 (155 83 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (136 136 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (128 80 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (128 16 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (106 34 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (104 38 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (96 96 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (96 96 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (96 32 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (96 32 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (80 80 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (80 80 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (80 80 (:REWRITE SUBSETP-MEMBER . 2))
 (80 80 (:REWRITE SUBSETP-MEMBER . 1))
 (80 16 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (64 64 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (64 64 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (64 64 (:REWRITE SUBSETP-MEMBER . 4))
 (64 64 (:REWRITE SUBSETP-MEMBER . 3))
 (64 64 (:REWRITE INTERSECTP-MEMBER . 3))
 (64 64 (:REWRITE INTERSECTP-MEMBER . 2))
 (64 32 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (64 16 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (56 56 (:TYPE-PRESCRIPTION M1-FILE-P))
 (56 56 (:REWRITE SUBSETP-REFL))
 (48 48 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (48 48 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (48 48 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (48 48 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (48 16 (:REWRITE COMMUTATIVITY-OF-+))
 (32 32 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (32 32 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (32 32 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (32 32 (:REWRITE PREFIXP-REFLEXIVE))
 (32 32 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (32 16 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (32 16 (:REWRITE SET-EQUIV-ASYM))
 (32 16 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (32 16 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (24 24 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (24 24 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (24 24 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (24 24 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (16 16 (:TYPE-PRESCRIPTION SET-EQUIV))
 (16 16 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (16 16 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (16 16 (:REWRITE SUBSETP-OF-CDR))
 (16 16 (:REWRITE MEMBER-OF-STRIP-CARS))
 (16 16 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (16 16 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (16 16 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (16 16 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (16 16 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (16 16 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (16 16 (:REWRITE ABS-NO-DUPS-P-OF-FRAME-VAL->DIR))
 (8 8 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (8 8 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (8 8 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-78
 (53 1 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (18 3 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (17 15 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (15 1 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (13 4 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (13 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (10 10 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (10 5 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (9 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (8 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (7 4 (:REWRITE NFIX-WHEN-ZP))
 (5 5 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (5 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (4 4 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (4 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (4 1 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (3 3 (:TYPE-PRESCRIPTION ABS-FS-P))
 (3 3 (:REWRITE DEFAULT-CDR))
 (3 3 (:REWRITE DEFAULT-CAR))
 (2 2 (:TYPE-PRESCRIPTION ZP))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2 1 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (2 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE ZP-OPEN))
 (1 1 (:REWRITE SUBSETP-MEMBER . 4))
 (1 1 (:REWRITE SUBSETP-MEMBER . 3))
 (1 1 (:REWRITE SUBSETP-MEMBER . 2))
 (1 1 (:REWRITE SUBSETP-MEMBER . 1))
 (1 1 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (1 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-27
 (148 37 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (141 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (122 5 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (92 8 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (62 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (57 3 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (55 15 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (52 1 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (44 2 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (41 40 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (37 37 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (29 8 (:REWRITE DEFAULT-CDR))
 (29 8 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (29 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (28 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (27 6 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (25 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (22 4 (:DEFINITION STRIP-CARS))
 (19 19 (:TYPE-PRESCRIPTION STRIP-CARS))
 (17 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (15 15 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (15 12 (:REWRITE DEFAULT-CAR))
 (14 5 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (14 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (11 1 (:REWRITE SUBSETP-CAR-MEMBER))
 (11 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (9 3 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (9 3 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (8 5 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (8 1 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (7 1 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (7 1 (:DEFINITION NATP))
 (7 1 (:DEFINITION ASSOC-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (6 6 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (6 6 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (6 6 (:REWRITE SUBSETP-TRANS2))
 (6 6 (:REWRITE SUBSETP-TRANS))
 (6 4 (:REWRITE CONSP-OF-STRIP-CARS))
 (6 3 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (5 5 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (5 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (4 2 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (4 1 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (4 1 (:REWRITE MEMBER-WHEN-ATOM))
 (3 3 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2 2 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (2 2 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2 1 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (2 1 (:REWRITE SET-EQUIV-ASYM))
 (2 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE SUBSETP-OF-CDR))
 (1 1 (:REWRITE SUBSETP-MEMBER . 4))
 (1 1 (:REWRITE SUBSETP-MEMBER . 3))
 (1 1 (:REWRITE SUBSETP-MEMBER . 2))
 (1 1 (:REWRITE SUBSETP-MEMBER . 1))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-41
 (289 4 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (288 72 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (183 3 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (90 3 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (84 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (75 3 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (68 1 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (54 54 (:TYPE-PRESCRIPTION STRIP-CARS))
 (51 6 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (42 3 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (40 5 (:DEFINITION ASSOC-EQUAL))
 (36 27 (:REWRITE DEFAULT-CAR))
 (36 6 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (34 7 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (33 3 (:REWRITE SUBSETP-CAR-MEMBER))
 (33 3 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (27 6 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (25 16 (:REWRITE DEFAULT-CDR))
 (21 3 (:DEFINITION NATP))
 (17 17 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (15 3 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (12 12 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (12 12 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (12 3 (:REWRITE MEMBER-WHEN-ATOM))
 (12 3 (:DEFINITION STRIP-CARS))
 (9 9 (:TYPE-PRESCRIPTION NATP))
 (9 9 (:TYPE-PRESCRIPTION ABS-FS-P))
 (9 9 (:REWRITE CONSP-OF-STRIP-CARS))
 (8 4 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (7 7 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6 6 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (6 3 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (6 3 (:REWRITE SET-EQUIV-ASYM))
 (6 3 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (5 5 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (5 4 (:REWRITE DEFAULT-<-2))
 (4 4 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (4 4 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (4 4 (:REWRITE DEFAULT-<-1))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (3 3 (:TYPE-PRESCRIPTION SET-EQUIV))
 (3 3 (:REWRITE SUBSETP-OF-CDR))
 (3 3 (:REWRITE SUBSETP-MEMBER . 4))
 (3 3 (:REWRITE SUBSETP-MEMBER . 3))
 (3 3 (:REWRITE SUBSETP-MEMBER . 2))
 (3 3 (:REWRITE SUBSETP-MEMBER . 1))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 3))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 2))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-10
 (3272 796 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2685 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (2306 8 (:LINEAR PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9))
 (1402 252 (:REWRITE DEFAULT-CDR))
 (1329 4 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (1030 2 (:REWRITE LEN-WHEN-PREFIXP))
 (1028 4 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (871 104 (:DEFINITION ASSOC-EQUAL))
 (737 36 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (709 6 (:REWRITE NFIX-WHEN-ZP))
 (704 6 (:REWRITE ZP-OPEN))
 (695 1 (:DEFINITION NTHCDR))
 (571 13 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-1 . 1))
 (415 409 (:REWRITE DEFAULT-CAR))
 (404 2 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (344 2 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (338 1 (:REWRITE STRIP-CARS-OF-REMOVE-ASSOC))
 (336 9 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (332 2 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (323 1 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (315 3 (:REWRITE REMOVE-WHEN-ABSENT))
 (284 1 (:REWRITE EQUAL-OF-FRAME-VAL))
 (278 15 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (264 44 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-12))
 (261 9 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (250 1 (:DEFINITION REMOVE-EQUAL))
 (238 41 (:DEFINITION STRIP-CARS))
 (233 4 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (216 216 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (208 3 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (189 27 (:DEFINITION LEN))
 (108 108 (:TYPE-PRESCRIPTION STRIP-CARS))
 (92 8 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (83 29 (:REWRITE DEFAULT-+-2))
 (81 3 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (76 10 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (73 21 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (72 2 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (69 41 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (62 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (58 58 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (57 3 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (56 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (53 53 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (53 53 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (53 7 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (52 52 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (52 1 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (48 48 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (46 25 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (44 2 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (42 2 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (41 41 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (41 1 (:DEFINITION PUT-ASSOC-EQUAL))
 (39 15 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (39 15 (:REWRITE DEFAULT-<-2))
 (37 9 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (36 36 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (33 9 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (32 6 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (30 2 (:DEFINITION TRUE-LISTP))
 (29 29 (:REWRITE DEFAULT-+-1))
 (29 8 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (29 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (29 1 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (28 28 (:LINEAR LEN-WHEN-PREFIXP))
 (28 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (27 6 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (25 25 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (25 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (24 4 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (23 15 (:REWRITE DEFAULT-<-1))
 (22 22 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (22 1 (:REWRITE MEMBER-OF-STRIP-CARS))
 (21 21 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (21 21 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-PARTIAL-COLLAPSE))
 (18 1 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (18 1 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (17 17 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (16 1 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-9))
 (13 11 (:REWRITE CONSP-OF-STRIP-CARS))
 (12 4 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (12 3 (:REWRITE MEMBER-WHEN-ATOM))
 (11 1 (:REWRITE SUBSETP-CAR-MEMBER))
 (10 10 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (10 10 (:TYPE-PRESCRIPTION PREFIXP))
 (9 9 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (9 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (9 3 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (9 3 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (8 8 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (8 8 (:TYPE-PRESCRIPTION D-E-P))
 (8 4 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (8 1 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (7 7 (:TYPE-PRESCRIPTION NATP))
 (7 7 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (7 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (7 1 (:DEFINITION NATP))
 (6 6 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (6 6 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (6 6 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (6 6 (:REWRITE SUBSETP-TRANS2))
 (6 6 (:REWRITE SUBSETP-TRANS))
 (6 3 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (6 1 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (5 2 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (5 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (5 1 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (5 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (4 4 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (4 4 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (4 4 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (4 4 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (4 4 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (4 4 (:REWRITE SET::IN-SET))
 (4 1 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (3 3 (:TYPE-PRESCRIPTION FRAME-VAL))
 (3 3 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (3 3 (:REWRITE SUBSETP-MEMBER . 4))
 (3 3 (:REWRITE SUBSETP-MEMBER . 3))
 (3 3 (:REWRITE SUBSETP-MEMBER . 2))
 (3 3 (:REWRITE SUBSETP-MEMBER . 1))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 3))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 2))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (3 1 (:REWRITE COMMUTATIVITY-OF-+))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (2 2 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (2 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (2 2 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (2 1 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (2 1 (:REWRITE SET-EQUIV-ASYM))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:TYPE-PRESCRIPTION FIND-NEW-INDEX-CORRECTNESS-LEMMA-1))
 (1 1 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1 1 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE SUBSETP-OF-CDR))
 (1 1 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FRAME-P-OF-PARTIAL-COLLAPSE))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE ABS-FS-P-OF-ABS-ALLOC-1))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-15
 (148 37 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (52 1 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (41 40 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (37 37 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (28 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (27 6 (:REWRITE DEFAULT-CDR))
 (25 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (17 17 (:TYPE-PRESCRIPTION STRIP-CARS))
 (17 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (16 2 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (14 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (11 8 (:REWRITE DEFAULT-CAR))
 (11 2 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (11 1 (:REWRITE SUBSETP-CAR-MEMBER))
 (11 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (10 2 (:DEFINITION STRIP-CARS))
 (9 2 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (8 8 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (8 2 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (7 1 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (7 1 (:DEFINITION NATP))
 (7 1 (:DEFINITION ASSOC-EQUAL))
 (5 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (4 4 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (4 2 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (4 1 (:REWRITE MEMBER-WHEN-ATOM))
 (3 3 (:TYPE-PRESCRIPTION ABS-FS-P))
 (3 3 (:REWRITE CONSP-OF-STRIP-CARS))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2 2 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2 1 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (2 1 (:REWRITE SET-EQUIV-ASYM))
 (2 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1 1 (:REWRITE SUBSETP-OF-CDR))
 (1 1 (:REWRITE SUBSETP-MEMBER . 4))
 (1 1 (:REWRITE SUBSETP-MEMBER . 3))
 (1 1 (:REWRITE SUBSETP-MEMBER . 2))
 (1 1 (:REWRITE SUBSETP-MEMBER . 1))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-17
 (1954 8 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (1911 466 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1873 18 (:REWRITE REMOVE-WHEN-ABSENT))
 (1742 10 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-4))
 (1578 6 (:DEFINITION REMOVE-EQUAL))
 (1544 54 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (1422 18 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (1361 18 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1270 7 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (1233 3 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-1 . 1))
 (1210 19 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (960 63 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (761 90 (:DEFINITION ASSOC-EQUAL))
 (618 197 (:REWRITE DEFAULT-CDR))
 (590 590 (:TYPE-PRESCRIPTION STRIP-CARS))
 (432 12 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (424 403 (:REWRITE DEFAULT-CAR))
 (368 2 (:REWRITE DIST-NAMES-OF-REMOVE-ASSOC-2))
 (364 50 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (354 2 (:REWRITE PATH-CLEAR-OF-REMOVE-ASSOC-2))
 (268 12 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (252 42 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-12))
 (245 35 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (230 123 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (223 49 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (220 6 (:REWRITE DIST-NAMES-OF-REMOVE-ASSOC-1))
 (216 216 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (210 10 (:REWRITE PATH-CLEAR-OF-REMOVE-ASSOC-1))
 (169 30 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (157 63 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (147 37 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (146 30 (:DEFINITION STRIP-CARS))
 (123 123 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (114 2 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-2))
 (108 5 (:REWRITE MEMBER-OF-STRIP-CARS))
 (76 2 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (74 74 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (74 74 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (74 74 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (73 73 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (71 71 (:TYPE-PRESCRIPTION ABS-FS-P))
 (64 5 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (52 13 (:REWRITE MEMBER-WHEN-ATOM))
 (52 1 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (50 44 (:REWRITE CONSP-OF-STRIP-CARS))
 (49 49 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (42 28 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (42 2 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (38 38 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (37 37 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (33 3 (:REWRITE SUBSETP-CAR-MEMBER))
 (31 31 (:TYPE-PRESCRIPTION NATP))
 (30 30 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (28 28 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (28 2 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (28 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (27 6 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (25 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (19 1 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (16 16 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (16 2 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (16 2 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (14 14 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (13 13 (:REWRITE SUBSETP-MEMBER . 4))
 (13 13 (:REWRITE SUBSETP-MEMBER . 3))
 (13 13 (:REWRITE SUBSETP-MEMBER . 2))
 (13 13 (:REWRITE SUBSETP-MEMBER . 1))
 (13 13 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-PARTIAL-COLLAPSE))
 (13 13 (:REWRITE INTERSECTP-MEMBER . 3))
 (13 13 (:REWRITE INTERSECTP-MEMBER . 2))
 (12 12 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (11 11 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (9 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (8 8 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (7 7 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (7 1 (:DEFINITION NATP))
 (6 3 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (6 3 (:REWRITE SET-EQUIV-ASYM))
 (5 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (4 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (3 3 (:TYPE-PRESCRIPTION SET-EQUIV))
 (3 3 (:REWRITE SUBSETP-OF-CDR))
 (3 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3 1 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-47
 (12736 519 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (7462 180 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (6568 241 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (5329 50 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (3735 187 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (3652 7 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (3324 15 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (3161 207 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (2371 88 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (2356 30 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (2174 195 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2134 550 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2132 36 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (1822 424 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1759 96 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (1599 17 (:REWRITE EQUAL-OF-ABS-FILE))
 (1567 36 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (1552 21 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1526 231 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1389 187 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1357 132 (:DEFINITION ASSOC-EQUAL))
 (1118 54 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (1067 96 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1059 231 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1052 182 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (924 207 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (916 497 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (846 846 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (836 228 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (822 24 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (793 265 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (786 47 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (723 15 (:DEFINITION PUT-ASSOC-EQUAL))
 (689 83 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (665 54 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (646 646 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (565 89 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (532 390 (:REWRITE DEFAULT-CDR))
 (527 42 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (515 103 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (512 512 (:REWRITE DEFAULT-CAR))
 (512 53 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (504 110 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (476 476 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (453 453 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (342 57 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (337 265 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (299 75 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (296 296 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (272 45 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (255 5 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 1))
 (248 8 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (239 45 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (212 212 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (184 16 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (180 96 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (168 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (160 1 (:REWRITE ABS-ADDRS-OF-APPEND))
 (150 12 (:REWRITE MEMBER-WHEN-ATOM))
 (125 3 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (123 4 (:REWRITE M1-FILE-P-OF-ABS-FILE))
 (114 114 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (103 103 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (97 97 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (93 93 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (92 1 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (89 89 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (84 84 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (81 81 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (76 24 (:DEFINITION NATP))
 (69 23 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (65 45 (:REWRITE DEFAULT-<-2))
 (61 1 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (60 48 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (57 57 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (57 2 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (52 1 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (51 17 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (48 48 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (45 45 (:REWRITE SUBSETP-TRANS2))
 (45 45 (:REWRITE SUBSETP-TRANS))
 (45 45 (:REWRITE DEFAULT-<-1))
 (44 22 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (42 42 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (41 3 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (34 34 (:REWRITE SUBSETP-MEMBER . 2))
 (32 32 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (32 32 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (31 31 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (30 30 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (27 27 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (25 8 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (24 24 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (23 23 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (19 19 (:REWRITE SUBSETP-MEMBER . 4))
 (19 19 (:REWRITE INTERSECTP-MEMBER . 3))
 (19 19 (:REWRITE INTERSECTP-MEMBER . 2))
 (17 17 (:TYPE-PRESCRIPTION D-E-P))
 (17 17 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (14 14 (:REWRITE ABS-FS-P-OF-ABS-ALLOC-1))
 (11 1 (:REWRITE SUBSETP-CAR-MEMBER))
 (8 8 (:REWRITE ABSFAT-EQUIV-OF-CTX-APP-LEMMA-1))
 (8 8 (:REWRITE ABS-TOP-ADDRS-OF-ABS-FS-FIX))
 (8 1 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX))
 (8 1 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (7 7 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (5 5 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (5 1 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (3 3 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (2 1 (:REWRITE SET-EQUIV-ASYM))
 (2 1 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:REWRITE SUBSETP-OF-CDR))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-20
 (2200 545 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1307 34 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (1083 19 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-1 . 1))
 (897 180 (:REWRITE DEFAULT-CDR))
 (694 2 (:REWRITE STRIP-CARS-OF-REMOVE-ASSOC))
 (648 6 (:REWRITE REMOVE-WHEN-ABSENT))
 (522 12 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (512 2 (:DEFINITION REMOVE-EQUAL))
 (483 62 (:DEFINITION ASSOC-EQUAL))
 (390 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (378 32 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (356 12 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (330 306 (:REWRITE DEFAULT-CAR))
 (310 6 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (296 296 (:TYPE-PRESCRIPTION STRIP-CARS))
 (278 4 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (270 49 (:DEFINITION STRIP-CARS))
 (220 28 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (180 24 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (168 6 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (162 18 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (150 6 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (144 4 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (140 10 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 2))
 (132 132 (:TYPE-PRESCRIPTION NAMES-AT))
 (132 132 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (127 10 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (126 9 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (96 58 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (96 16 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (84 4 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (82 22 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (81 3 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (66 6 (:REWRITE SUBSETP-CAR-MEMBER))
 (62 32 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (60 30 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (60 12 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (60 12 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (58 58 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (50 10 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (50 10 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (48 12 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (44 44 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (44 2 (:REWRITE MEMBER-OF-STRIP-CARS))
 (42 6 (:DEFINITION NATP))
 (40 10 (:REWRITE MEMBER-WHEN-ATOM))
 (39 39 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (38 38 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (38 38 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (38 38 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (36 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (34 34 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (32 32 (:REWRITE CONSP-OF-STRIP-CARS))
 (32 16 (:REWRITE SET-EQUIV-ASYM))
 (30 6 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (26 26 (:TYPE-PRESCRIPTION SET-EQUIV))
 (22 22 (:TYPE-PRESCRIPTION NATP))
 (22 22 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (19 19 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-PARTIAL-COLLAPSE))
 (18 3 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-12))
 (16 16 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (16 4 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (16 2 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (13 13 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (12 12 (:REWRITE SUBSETP-TRANS2))
 (12 12 (:REWRITE SUBSETP-TRANS))
 (12 12 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (12 6 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (10 10 (:REWRITE SUBSETP-MEMBER . 4))
 (10 10 (:REWRITE SUBSETP-MEMBER . 3))
 (10 10 (:REWRITE SUBSETP-MEMBER . 2))
 (10 10 (:REWRITE SUBSETP-MEMBER . 1))
 (10 10 (:REWRITE INTERSECTP-MEMBER . 3))
 (10 10 (:REWRITE INTERSECTP-MEMBER . 2))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (9 9 (:REWRITE INTERSECTP-MEMBER . 1))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (9 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (8 8 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (8 2 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (7 7 (:REWRITE ABS-FIND-FILE-SRC-CORRECTNESS-1))
 (6 6 (:REWRITE SUBSETP-OF-CDR))
 (6 6 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE DEFAULT-<-2))
 (6 6 (:REWRITE DEFAULT-<-1))
 (4 4 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 )
(ABS-PLACE-FILE-HELPER-OF-CTX-APP-1
 (572391 759 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-2))
 (269754 4841 (:REWRITE REMOVE-WHEN-ABSENT))
 (183807 703 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (181511 437 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (172686 928 (:REWRITE EQUAL-OF-ABS-FILE))
 (142632 1613 (:DEFINITION REMOVE-EQUAL))
 (133195 4763 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (129227 2480 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (105316 1694 (:DEFINITION PUT-ASSOC-EQUAL))
 (104186 700 (:REWRITE M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (99232 23628 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (96537 9714 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (86605 6362 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (83108 1003 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (78736 28028 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (71568 3911 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (67698 1003 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (64314 31756 (:REWRITE DEFAULT-CDR))
 (59630 1266 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (59587 1003 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (57822 3834 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (56578 1003 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (55288 594 (:REWRITE ABSFAT-EQUIV-OF-CTX-APP-LEMMA-8))
 (54021 5425 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (52640 8408 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (46149 1336 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (42182 7747 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (39699 7476 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (34381 877 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (34120 6824 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (28539 2989 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (27936 192 (:REWRITE SUBSETP-OF-REMOVE1))
 (27470 250 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (25967 533 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (24126 24126 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (23942 9890 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (22772 22772 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (20066 310 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (19990 2010 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (18158 60 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (16861 4763 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (16392 4996 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (16319 985 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (15586 166 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (15180 15180 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (15036 2929 (:DEFINITION STRIP-CARS))
 (14640 256 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (14502 181 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-11))
 (14148 11712 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (14071 5740 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (13711 4647 (:REWRITE MEMBER-WHEN-ATOM))
 (13340 116 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (12960 192 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT))
 (12481 12481 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (11266 4404 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (11236 6 (:REWRITE ABS-ADDRS-OF-CTX-APP-LEMMA-1))
 (11146 1164 (:REWRITE CONSP-OF-APPEND))
 (10941 485 (:REWRITE ABS-FILE-ALIST-P-OF-APPEND))
 (10690 4404 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (10676 404 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (10643 647 (:REWRITE ZP-OPEN))
 (10592 412 (:REWRITE ASSOC-OF-APPEND-1))
 (10500 1750 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (10466 10466 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (10378 1015 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (9487 1047 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (9327 497 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (9304 500 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (9226 2422 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (9218 577 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (9148 6355 (:REWRITE CONSP-OF-STRIP-CARS))
 (7076 1011 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (6856 128 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (6824 6824 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (6702 1826 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (6438 1073 (:DEFINITION LEN))
 (6301 2273 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (6235 116 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (6202 753 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (6143 6143 (:REWRITE SUBSETP-MEMBER . 2))
 (6011 895 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (5987 2989 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (5714 1434 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (5695 5695 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (5531 1000 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (5477 837 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (5427 5099 (:REWRITE INTERSECTP-MEMBER . 3))
 (5336 232 (:REWRITE LEN-OF-APPEND))
 (5324 1266 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (5224 1104 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (5099 5099 (:REWRITE SUBSETP-MEMBER . 4))
 (5099 5099 (:REWRITE INTERSECTP-MEMBER . 2))
 (4893 4893 (:TYPE-PRESCRIPTION NATP-OF-ABS-PLACE-FILE-HELPER))
 (4872 58 (:REWRITE LEN-OF-DIRNAME))
 (4518 123 (:REWRITE ABS-ADDRS-OF-APPEND))
 (4447 4447 (:REWRITE SUBSETP-TRANS2))
 (4447 4447 (:REWRITE SUBSETP-TRANS))
 (4408 1595 (:REWRITE DEFAULT-+-2))
 (4365 2010 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (4235 4235 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3915 261 (:DEFINITION TRUE-LISTP))
 (3840 192 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (3738 250 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (3527 3527 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (3424 135 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (3377 1266 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (3272 1191 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (3264 384 (:REWRITE SUBSETP-OF-REMOVE2))
 (3194 1191 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (3189 3189 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (3105 1449 (:REWRITE DEFAULT-<-2))
 (2897 389 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-EQUAL))
 (2784 928 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (2668 812 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2668 116 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (2621 1046 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (2554 2554 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (2552 522 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (2436 116 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (2393 533 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (2365 2365 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (2324 2 (:REWRITE ABSFAT-SUBSETP-OF-APPEND-2))
 (2273 2273 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2175 1595 (:REWRITE DEFAULT-+-1))
 (2167 2167 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (2092 2092 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (1905 1491 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1798 1798 (:TYPE-PRESCRIPTION D-E-P))
 (1728 108 (:REWRITE M1-FILE-P-OF-ABS-FILE))
 (1718 1449 (:REWRITE DEFAULT-<-1))
 (1421 551 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (1342 1342 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (1320 124 (:REWRITE ABS-ADDRS-OF-REMOVE))
 (1276 232 (:REWRITE COMMUTATIVITY-OF-+))
 (1266 1266 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (1170 6 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-1))
 (1160 232 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (1152 1152 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (1131 58 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1116 35 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (1102 58 (:DEFINITION NAT-EQUIV$INLINE))
 (1061 30 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1046 1046 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (1015 1015 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (940 940 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (939 939 (:REWRITE ADDRS-AT-OF-APPEND-LEMMA-1))
 (928 928 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (877 877 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (877 877 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (877 877 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (864 864 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (864 864 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (864 864 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (864 864 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (864 864 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (864 24 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE-LEMMA-4 . 2))
 (812 812 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (812 812 (:LINEAR LEN-WHEN-PREFIXP))
 (812 406 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (810 405 (:REWRITE SET-EQUIV-ASYM))
 (783 29 (:REWRITE TRUE-LISTP-OF-APPEND))
 (700 700 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (696 116 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (664 664 (:TYPE-PRESCRIPTION ABSFAT-EQUIV))
 (605 533 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (602 2 (:REWRITE ABS-NO-DUPS-P-OF-APPEND . 1))
 (577 577 (:REWRITE INTERSECTP-MEMBER . 1))
 (565 565 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (532 120 (:DEFINITION NATP))
 (522 522 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (516 6 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (512 128 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (502 16 (:REWRITE ABS-ADDRS-OF-CTX-APP-LEMMA-6))
 (458 458 (:REWRITE ABS-NO-DUPS-FILE-P-OF-ABS-NO-DUPS-FILE-FIX))
 (450 18 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (411 411 (:TYPE-PRESCRIPTION SET-EQUIV))
 (406 406 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (406 406 (:REWRITE SET::IN-SET))
 (400 80 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (392 4 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (387 387 (:REWRITE SUBSETP-OF-CDR))
 (348 348 (:REWRITE CONSP-OF-LIST-FIX))
 (330 30 (:TYPE-PRESCRIPTION ASSOC-OF-APPEND-2))
 (319 60 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX))
 (310 310 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (258 42 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (258 6 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (255 3 (:REWRITE ASSOC-OF-APPEND-2))
 (246 12 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (210 60 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (206 2 (:REWRITE ABSFAT-SUBSETP-OF-REMOVE-2))
 (182 3 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (181 181 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (177 1 (:REWRITE ABS-ADDRS-OF-CTX-APP-2))
 (144 16 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (129 3 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE-LEMMA-1))
 (128 128 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (128 128 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (123 23 (:REWRITE CONSP-OF-ASSOC-EQUAL-OF-APPEND))
 (116 116 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (116 58 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (96 96 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (90 6 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (84 84 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (78 39 (:TYPE-PRESCRIPTION CONSP-OF-ASSOC-OF-REMOVE))
 (58 58 (:TYPE-PRESCRIPTION NAT-EQUIV$INLINE))
 (58 58 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (58 58 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (58 58 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (58 58 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (58 58 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (58 58 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (57 6 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (50 2 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY-LEMMA-4))
 (48 4 (:REWRITE STRINGP-OF-APPEND))
 (42 6 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (33 3 (:REWRITE SUBSETP-CAR-MEMBER))
 (30 30 (:TYPE-PRESCRIPTION ATOM))
 (30 30 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (29 29 (:REWRITE FOLD-CONSTS-IN-+))
 (20 1 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (10 10 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-CORRECTNESS-1 . 2))
 (8 8 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (6 6 (:REWRITE PUT-ASSOC-OF-PUT-ASSOC-2))
 (4 2 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (3 3 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 (1 1 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (1 1 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-22
 (4909 1 (:DEFINITION ABS-FIND-FILE-SRC))
 (2790 27 (:REWRITE LEN-WHEN-PREFIXP))
 (2619 43 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (2542 1 (:REWRITE NTHCDR-OF-FAT32-FILENAME-LIST-FIX))
 (2477 31 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (2450 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (2418 28 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (2006 26 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1555 31 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1464 16 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (1086 41 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (978 578 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (923 50 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (894 122 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (875 114 (:DEFINITION LEN))
 (664 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (453 3 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (429 26 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (424 424 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (344 116 (:REWRITE DEFAULT-+-2))
 (313 85 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (287 287 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (278 49 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (267 3 (:DEFINITION MEMBER-EQUAL))
 (215 1 (:DEFINITION NTHCDR))
 (196 4 (:REWRITE ZP-OPEN))
 (193 4 (:REWRITE NFIX-WHEN-ZP))
 (191 11 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (190 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (181 172 (:REWRITE DEFAULT-CDR))
 (175 5 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (162 6 (:REWRITE SUBSETP-CAR-MEMBER))
 (151 16 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (131 15 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (125 41 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (125 2 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (123 41 (:REWRITE DEFAULT-<-2))
 (122 122 (:LINEAR LEN-WHEN-PREFIXP))
 (116 116 (:REWRITE DEFAULT-+-1))
 (115 6 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (113 113 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (111 1 (:REWRITE CONSP-OF-NTHCDR))
 (110 110 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (107 41 (:REWRITE DEFAULT-<-1))
 (105 105 (:TYPE-PRESCRIPTION PREFIXP))
 (104 7 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (99 99 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (98 49 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (90 6 (:DEFINITION TRUE-LISTP))
 (74 12 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (66 9 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (63 54 (:REWRITE DEFAULT-CAR))
 (62 62 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (59 41 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (57 30 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (57 30 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (57 12 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (56 2 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (50 6 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (49 7 (:DEFINITION NATP))
 (49 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (48 4 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (47 2 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (46 2 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (45 45 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (45 42 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (44 4 (:REWRITE NFIX-WHEN-NATP))
 (44 4 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (43 28 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (43 28 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (41 41 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (32 32 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (31 31 (:REWRITE SUBSETP-TRANS2))
 (31 31 (:REWRITE SUBSETP-TRANS))
 (31 31 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (31 31 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (31 31 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (31 31 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (30 12 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (30 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (29 7 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (26 4 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (25 8 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (24 21 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (22 16 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (22 11 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (21 21 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (20 20 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (20 2 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (19 5 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (18 18 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (18 18 (:TYPE-PRESCRIPTION D-E-P))
 (18 9 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (18 2 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (17 17 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (16 16 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (16 16 (:TYPE-PRESCRIPTION ABS-FS-P))
 (16 16 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (16 4 (:DEFINITION STRIP-CARS))
 (16 2 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (15 15 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (15 15 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (15 6 (:REWRITE MEMBER-WHEN-ATOM))
 (14 14 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (13 13 (:REWRITE CONSP-OF-STRIP-CARS))
 (13 13 (:REWRITE CONSP-OF-LIST-FIX))
 (12 12 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (12 6 (:REWRITE SET-EQUIV-ASYM))
 (12 2 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (10 10 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (10 5 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (10 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (10 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (9 9 (:TYPE-PRESCRIPTION SET-EQUIV))
 (9 9 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (9 9 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (9 9 (:REWRITE SET::IN-SET))
 (9 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (8 8 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (8 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (8 1 (:DEFINITION ASSOC-EQUAL))
 (6 6 (:REWRITE SUBSETP-OF-CDR))
 (6 6 (:REWRITE SUBSETP-MEMBER . 4))
 (6 6 (:REWRITE SUBSETP-MEMBER . 3))
 (6 6 (:REWRITE SUBSETP-MEMBER . 2))
 (6 6 (:REWRITE SUBSETP-MEMBER . 1))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 3))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 2))
 (6 3 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (6 1 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (6 1 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (6 1 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (5 5 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (5 1 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (5 1 (:DEFINITION NFIX))
 (4 4 (:TYPE-PRESCRIPTION ZP))
 (4 4 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (4 4 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (4 1 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (4 1 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (4 1 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (4 1 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (3 3 (:TYPE-PRESCRIPTION FRAME-P))
 (3 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-31))
 (3 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3 1 (:REWRITE COMMUTATIVITY-OF-+))
 (3 1 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (2 2 (:TYPE-PRESCRIPTION NFIX))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION FILE-TABLE-P))
 (2 2 (:TYPE-PRESCRIPTION FD-TABLE-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (2 2 (:TYPE-PRESCRIPTION DIR-STREAM-TABLE-P))
 (2 2 (:REWRITE PREFIXP-REFLEXIVE))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (2 1 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (2 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1 1 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE SUBSETP-REFL))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-56
 (22053 659 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (13659 298 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (13341 246 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (12162 869 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (8452 31 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (8141 129 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (6635 223 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (6082 1459 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (4616 249 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (4213 55 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (4074 30 (:REWRITE REMOVE-WHEN-ABSENT))
 (3801 102 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (3388 1366 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2977 120 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (2903 55 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (2776 46 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (2538 246 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2451 546 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (2448 332 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (2300 297 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2300 92 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (2032 15 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (1604 332 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1598 23 (:REWRITE EQUAL-OF-ABS-FILE))
 (1519 13 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1402 120 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1366 1366 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1342 1342 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (1316 13 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1295 355 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1265 659 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1222 140 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1192 217 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1162 78 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (1127 23 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (1086 23 (:DEFINITION PUT-ASSOC-EQUAL))
 (1024 353 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (943 103 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (934 865 (:REWRITE DEFAULT-CAR))
 (924 924 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (823 78 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (813 13 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (796 796 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (794 10 (:DEFINITION REMOVE-EQUAL))
 (780 78 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (778 99 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (710 710 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (700 140 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (691 249 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (635 55 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (612 543 (:REWRITE DEFAULT-CDR))
 (507 507 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (504 84 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (450 450 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (418 26 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (415 32 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (405 31 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (404 13 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (365 13 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (353 353 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (284 8 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (276 276 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (240 120 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (232 232 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (211 14 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (188 116 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (187 45 (:DEFINITION NATP))
 (163 52 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (144 29 (:REWRITE NFIX-WHEN-ZP))
 (143 13 (:REWRITE SUBSETP-CAR-MEMBER))
 (140 140 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (140 140 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (133 133 (:REWRITE SUBSETP-MEMBER . 2))
 (131 98 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (127 127 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (127 127 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (126 27 (:DEFINITION STRIP-CARS))
 (120 33 (:REWRITE ZP-OPEN))
 (117 94 (:REWRITE CONSP-OF-STRIP-CARS))
 (117 26 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (110 110 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (99 99 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (90 90 (:REWRITE SUBSETP-MEMBER . 4))
 (90 90 (:REWRITE INTERSECTP-MEMBER . 3))
 (90 90 (:REWRITE INTERSECTP-MEMBER . 2))
 (90 12 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (89 81 (:REWRITE DEFAULT-<-2))
 (83 81 (:REWRITE DEFAULT-<-1))
 (75 75 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (75 75 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (72 24 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (69 69 (:TYPE-PRESCRIPTION ABS-FILE))
 (69 29 (:REWRITE NFIX-WHEN-NATP))
 (69 23 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (69 12 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (65 65 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (65 65 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (57 57 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (57 57 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (55 55 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (46 46 (:REWRITE ABS-FS-P-OF-ABS-ALLOC-1))
 (40 8 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (34 34 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (31 31 (:TYPE-PRESCRIPTION NFIX))
 (26 26 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (26 13 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (26 13 (:REWRITE SET-EQUIV-ASYM))
 (24 24 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (24 24 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (23 23 (:TYPE-PRESCRIPTION D-E-P))
 (23 23 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (21 12 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (13 13 (:TYPE-PRESCRIPTION SET-EQUIV))
 (13 13 (:REWRITE SUBSETP-OF-CDR))
 (12 12 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (8 8 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (8 8 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (8 8 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (4 4 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (3 3 (:REWRITE ABS-FS-P-OF-ABS-ALLOC-2))
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-58
 (32696 976 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (31223 2139 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (26123 565 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (24124 465 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (23975 569 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (22062 1254 (:REWRITE DEFAULT-CDR))
 (17520 4747 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (16325 1712 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (14825 1242 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (12420 1242 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (11340 75 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (10882 424 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (9586 441 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (8755 367 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (7975 721 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (7333 391 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (7218 424 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (6138 402 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (6103 190 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (4888 804 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (4683 374 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (4339 872 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (4103 4103 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (4064 41 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (3595 1021 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (3418 3418 (:TYPE-PRESCRIPTION M1-FILE-P))
 (2480 570 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (2412 1206 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2141 2139 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2090 2090 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (2068 424 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (2056 267 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1985 287 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1917 433 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1744 1744 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1716 402 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1716 402 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1663 433 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1645 1645 (:TYPE-PRESCRIPTION ABS-FS-P))
 (1612 1021 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1428 424 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (1424 424 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (1380 115 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (1372 267 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1272 1272 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1206 1206 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1073 1073 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (994 994 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (916 248 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (904 304 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (866 866 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (814 814 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (772 72 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (690 115 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (620 190 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (607 41 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (534 534 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (497 497 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (450 100 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (424 424 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (416 26 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (400 50 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (393 31 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (391 391 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (380 380 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (368 50 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (237 237 (:REWRITE SUBSETP-TRANS2))
 (237 237 (:REWRITE SUBSETP-TRANS))
 (227 227 (:TYPE-PRESCRIPTION NATP))
 (222 222 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (222 222 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (182 182 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (168 10 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (164 164 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (93 31 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (85 17 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (77 77 (:REWRITE SUBSETP-MEMBER . 2))
 (51 17 (:DEFINITION NATP))
 (43 31 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (30 15 (:REWRITE SET-EQUIV-ASYM))
 (17 17 (:REWRITE SUBSETP-MEMBER . 4))
 (17 17 (:REWRITE SUBSETP-MEMBER . 3))
 (17 17 (:REWRITE INTERSECTP-MEMBER . 3))
 (17 17 (:REWRITE INTERSECTP-MEMBER . 2))
 (17 17 (:REWRITE DEFAULT-<-2))
 (17 17 (:REWRITE DEFAULT-<-1))
 (15 15 (:TYPE-PRESCRIPTION SET-EQUIV))
 (15 15 (:REWRITE SUBSETP-OF-CDR))
 (14 14 (:REWRITE MEMBER-WHEN-ATOM))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-23
 (724 181 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (362 181 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (217 6 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (191 191 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (157 4 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (150 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (110 2 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (106 1 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (86 5 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (78 1 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (68 5 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (59 8 (:DEFINITION ASSOC-EQUAL))
 (58 4 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (43 5 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (39 3 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (36 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (32 1 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (27 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (24 24 (:REWRITE DEFAULT-CAR))
 (24 1 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (23 1 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (21 21 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (18 9 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (18 3 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (18 3 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (16 16 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (15 3 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (14 14 (:TYPE-PRESCRIPTION M1-FILE-P))
 (11 3 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (10 10 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (9 9 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (9 3 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (8 8 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (7 1 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (6 6 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (6 6 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6 3 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (6 3 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (6 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (5 5 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (5 5 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (4 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (4 1 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (3 3 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 (1 1 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-24
 (244 61 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (122 61 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (67 67 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (58 1 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (17 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (17 1 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (15 3 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (15 1 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (14 2 (:DEFINITION ASSOC-EQUAL))
 (12 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (8 1 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (7 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (6 6 (:REWRITE DEFAULT-CAR))
 (6 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (5 5 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (5 5 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (5 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (5 1 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (4 4 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (3 3 (:TYPE-PRESCRIPTION M1-FILE-P))
 (3 3 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (2 2 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1 1 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-29
 (224448 2 (:DEFINITION ABS-PLACE-FILE-HELPER))
 (198482 44 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (151799 4662 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (137688 2158 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (117426 12 (:DEFINITION ABS-PUT-ASSOC-DEFINITION))
 (117330 26 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (113610 1157 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (112276 7 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-2))
 (108588 1157 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (99586 771 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (96212 369 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (65561 161 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (65258 13 (:DEFINITION PUT-ASSOC-EQUAL))
 (64520 275 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (63545 487 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (62443 1149 (:REWRITE ABS-FILE-P-ALT))
 (54223 824 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (48006 216 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (47517 373 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (47068 11 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (39148 246 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (37004 11421 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (35339 834 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (34135 1154 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (29409 2393 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (28305 2504 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (26228 11421 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (24850 271 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (21898 2079 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (20097 4662 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (16971 1249 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (16885 705 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (15236 2 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (14890 44 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (13109 2001 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (11625 11625 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (10602 10219 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (8882 825 (:DEFINITION ASSOC-EQUAL))
 (8632 1163 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (8273 1785 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (8003 3747 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (7380 24 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 2))
 (7102 3049 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (5734 2962 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (5563 5563 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (4230 271 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (4002 4002 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (3752 297 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (3747 3747 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (3354 1161 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (3049 3049 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3020 3020 (:REWRITE DEFAULT-CAR))
 (2942 369 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (2593 347 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2563 2563 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (2482 100 (:REWRITE SUBSETP-CAR-MEMBER))
 (2471 470 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (2444 705 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (2299 624 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (1932 161 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (1785 1785 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (1734 6 (:REWRITE EQUAL-OF-ABS-FILE))
 (1624 270 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1477 382 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (1432 1432 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1301 117 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1157 1157 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (1068 24 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 1))
 (1024 6 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (1007 1007 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (1000 1000 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (990 165 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (988 988 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (976 10 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (884 194 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (840 210 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (752 752 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (750 750 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (682 10 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (674 674 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (576 36 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (566 6 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-ABS-PLACE-FILE-HELPER . 3))
 (552 552 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (542 542 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (500 500 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (497 497 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (443 443 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (443 443 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (430 268 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (430 268 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (414 414 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (271 271 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (270 270 (:REWRITE SUBSETP-TRANS2))
 (270 270 (:REWRITE SUBSETP-TRANS))
 (203 203 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (196 196 (:TYPE-PRESCRIPTION NATP))
 (195 195 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (134 6 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (134 6 (:REWRITE M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (108 108 (:TYPE-PRESCRIPTION ABS-PLACE-FILE-HELPER-OF-APPEND-LEMMA-2))
 (108 2 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (102 102 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-FIX))
 (98 98 (:REWRITE SUBSETP-MEMBER . 2))
 (98 98 (:REWRITE SUBSETP-MEMBER . 1))
 (83 2 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (58 12 (:REWRITE ABS-NO-DUPS-FILE-FIX-WHEN-ABS-NO-DUPS-FILE-P))
 (56 4 (:REWRITE ZP-OPEN))
 (54 4 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (48 48 (:TYPE-PRESCRIPTION ABSFAT-EQUIV))
 (44 8 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (44 4 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (43 43 (:TYPE-PRESCRIPTION NATP-OF-ABS-PLACE-FILE-HELPER))
 (42 42 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (30 6 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (18 18 (:TYPE-PRESCRIPTION ABS-FILE))
 (18 10 (:REWRITE DEFAULT-<-2))
 (18 6 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (14 14 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (12 12 (:REWRITE ABS-NO-DUPS-FILE-P-OF-ABS-NO-DUPS-FILE-FIX))
 (12 12 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (12 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (12 2 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (10 10 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (10 10 (:REWRITE DEFAULT-<-1))
 (10 10 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 (10 10 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (10 2 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (10 2 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (6 6 (:TYPE-PRESCRIPTION D-E-P))
 (6 6 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (6 2 (:DEFINITION NATP))
 (4 4 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-NO-DUPS-FILE-FIX))
 (2 2 (:REWRITE SUBSETP-REFL))
 (2 2 (:REWRITE SUBSETP-MEMBER . 4))
 (2 2 (:REWRITE SUBSETP-MEMBER . 3))
 (2 2 (:REWRITE MEMBER-WHEN-ATOM))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 3))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 )
(ABSFAT-SUBSETP-OF-TRUE-LIST-FIX-1
 (12005 1146 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (11937 968 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (9904 111 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (8363 482 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (8068 227 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (7351 151 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (6590 325 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (4986 129 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (4947 95 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (4085 122 (:REWRITE M1-FILE-ALIST-P-OF-LIST-FIX))
 (3862 253 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (3354 113 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (3241 754 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2959 144 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (2862 2616 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2808 67 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (2616 2616 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2581 194 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (2427 325 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (2280 576 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2030 128 (:DEFINITION TRUE-LISTP))
 (1883 144 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (1777 59 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (1744 111 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (1458 576 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (1364 59 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (1331 1146 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1241 256 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1233 280 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1221 527 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1147 59 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (1097 94 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (1031 1031 (:TYPE-PRESCRIPTION ABS-FS-P))
 (1000 262 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (957 189 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (862 22 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-1))
 (850 754 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (843 843 (:TYPE-PRESCRIPTION M1-FILE-P))
 (691 41 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (650 256 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (647 35 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (620 144 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (615 615 (:REWRITE DEFAULT-CAR))
 (610 610 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (588 444 (:REWRITE DEFAULT-CDR))
 (564 94 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (552 70 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (546 51 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (508 508 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (495 144 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (404 79 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (394 394 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (394 394 (:TYPE-PRESCRIPTION D-E-P))
 (394 197 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (387 70 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (378 378 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (318 318 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (294 49 (:DEFINITION LEN))
 (280 280 (:REWRITE SUBSETP-TRANS2))
 (280 280 (:REWRITE SUBSETP-TRANS))
 (278 43 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (271 268 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (271 268 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (263 263 (:TYPE-PRESCRIPTION NATP))
 (262 35 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (262 35 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (256 256 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (253 253 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (234 234 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (234 130 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (217 67 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (210 105 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (197 197 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (197 197 (:REWRITE SET::IN-SET))
 (192 12 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (159 159 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (158 43 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (147 49 (:REWRITE DEFAULT-+-2))
 (144 144 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (144 144 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (144 32 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (140 140 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (134 134 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (130 130 (:REWRITE SUBSETP-MEMBER . 4))
 (130 130 (:REWRITE INTERSECTP-MEMBER . 3))
 (130 130 (:REWRITE INTERSECTP-MEMBER . 2))
 (128 16 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (128 16 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (126 126 (:REWRITE SUBSETP-MEMBER . 2))
 (124 113 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (119 119 (:REWRITE MEMBER-WHEN-ATOM))
 (106 106 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (105 105 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (98 98 (:LINEAR LEN-WHEN-PREFIXP))
 (98 98 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (95 95 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (86 86 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (86 86 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (78 26 (:DEFINITION NATP))
 (59 59 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (51 51 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (51 3 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (49 49 (:REWRITE DEFAULT-+-1))
 (48 8 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (33 33 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (26 26 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (26 26 (:REWRITE DEFAULT-<-2))
 (26 26 (:REWRITE DEFAULT-<-1))
 (26 26 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (26 26 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (24 8 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (23 23 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (8 8 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (8 1 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 )
(LIST-EQUIV-IMPLIES-EQUAL-ABSFAT-SUBSETP-1
 (143 4 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (79 6 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (69 5 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (60 4 (:DEFINITION TRUE-LISTP))
 (56 2 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (49 9 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (46 2 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (42 2 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (40 6 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (38 8 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (36 4 (:REWRITE M1-FILE-ALIST-P-OF-LIST-FIX))
 (26 18 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (24 24 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (22 22 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (20 20 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (20 8 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (18 18 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (18 18 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (15 9 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (12 12 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (12 12 (:TYPE-PRESCRIPTION D-E-P))
 (12 6 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (12 2 (:DEFINITION LEN))
 (10 10 (:TYPE-PRESCRIPTION ABS-FS-P))
 (8 8 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (6 6 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (6 6 (:REWRITE SET::IN-SET))
 (6 6 (:REWRITE DEFAULT-CDR))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6 2 (:REWRITE DEFAULT-+-2))
 (4 4 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 (4 4 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (4 4 (:LINEAR LEN-WHEN-PREFIXP))
 (4 4 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2 2 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (2 2 (:REWRITE DEFAULT-+-1))
 (2 2 (:REWRITE CONSP-OF-LIST-FIX))
 )
(LEMMA
 (9453837 5440 (:DEFINITION ABSFAT-SUBSETP))
 (6043543 282624 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (5532730 53555 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (4707157 66720 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (3409844 37455 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1563926 83438 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1492331 79919 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1338592 5059 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (1290409 150550 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1202470 16582 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 2))
 (932991 32223 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (858474 98597 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (828730 84950 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (745325 81513 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (625452 167084 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (517230 263998 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (509024 248277 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (497304 82753 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (490445 14270 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 1))
 (388597 60916 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (348032 2004 (:REWRITE EQUAL-OF-ABS-FILE))
 (340858 11340 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (331434 81513 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (325773 325687 (:REWRITE DEFAULT-CAR))
 (294796 10819 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (288050 1647 (:REWRITE ABS-FILE-P-ALT))
 (286336 231582 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (250162 50009 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (248277 248277 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (239382 45564 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (233594 233594 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (232995 6658 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (230552 43022 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (213242 213242 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (203489 6463 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (167232 1514 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (147125 23897 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (141750 5648 (:REWRITE SUBSETP-CAR-MEMBER))
 (128790 22323 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (127837 1595 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-ABS-PLACE-FILE-HELPER . 3))
 (114234 19029 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (103629 17901 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (93552 41 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (80486 80486 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (79626 1805 (:REWRITE M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (62044 3698 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (60774 60774 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (56292 45564 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (52991 382 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (52864 3304 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (46805 5548 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (46570 11579 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (43846 43846 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (42410 42410 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (40243 40243 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (36769 5440 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-1))
 (33616 33616 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (23413 1408 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (19595 1408 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (17852 16988 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (17852 16988 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (16995 16995 (:REWRITE SUBSETP-TRANS2))
 (16995 16995 (:REWRITE SUBSETP-TRANS))
 (14456 117 (:REWRITE M1-FILE-P-OF-ABS-FILE))
 (13394 13394 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (13356 13356 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (13260 13260 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (11579 11579 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (11450 11450 (:TYPE-PRESCRIPTION NATP))
 (10615 564 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (10230 3 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-1))
 (9881 92 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (6858 6858 (:TYPE-PRESCRIPTION ABS-FILE))
 (6504 3316 (:REWRITE DEFAULT-<-2))
 (6040 6040 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (6012 2004 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (5808 604 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 (5682 800 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (5655 5643 (:REWRITE SUBSETP-MEMBER . 1))
 (5643 5643 (:REWRITE SUBSETP-MEMBER . 2))
 (5584 5584 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-OF-APPEND-LEMMA-1))
 (5254 142 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (4741 276 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (4378 2189 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (4268 4268 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (4239 1314 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (4158 4158 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (4020 146 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (3887 907 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (3316 3316 (:REWRITE DEFAULT-<-1))
 (2798 2798 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (2333 2333 (:TYPE-PRESCRIPTION HIFAT-EQUIV))
 (2138 2138 (:TYPE-PRESCRIPTION D-E-P))
 (2004 2004 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (1632 52 (:REWRITE HIFAT-NO-DUPS-P-OF-HIFAT-PLACE-FILE))
 (1409 3 (:REWRITE CONSP-OF-APPEND))
 (1408 1408 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (1334 29 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (1108 1108 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (1108 1108 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (1017 170 (:REWRITE MEMBER-OF-PUT-ASSOC))
 (906 453 (:REWRITE SET-EQUIV-ASYM))
 (902 38 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (805 300 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (700 700 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-1))
 (644 96 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (540 45 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (525 35 (:DEFINITION TRUE-LISTP))
 (518 290 (:REWRITE MEMBER-WHEN-ATOM))
 (453 453 (:TYPE-PRESCRIPTION SET-EQUIV))
 (453 453 (:REWRITE SUBSETP-OF-CDR))
 (450 18 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (405 70 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (383 116 (:DEFINITION NATP))
 (292 292 (:REWRITE SUBSETP-MEMBER . 4))
 (292 292 (:REWRITE SUBSETP-MEMBER . 3))
 (292 292 (:REWRITE INTERSECTP-MEMBER . 3))
 (292 292 (:REWRITE INTERSECTP-MEMBER . 2))
 (213 6 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (204 70 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (175 175 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (159 3 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (156 3 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (142 142 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (134 134 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (134 67 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (70 70 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (69 3 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (67 67 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (67 67 (:REWRITE SET::IN-SET))
 (63 3 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (60 15 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (52 52 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (51 3 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (48 3 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (33 3 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (27 27 (:REWRITE CONS-OF-FAT32-FILENAME-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (21 6 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (21 3 (:REWRITE ABS-NO-DUPS-P-OF-CTX-APP-LEMMA-4))
 (18 3 (:DEFINITION LEN))
 (15 15 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (9 3 (:REWRITE DEFAULT-+-2))
 (9 3 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-2))
 (7 7 (:REWRITE SUBSETP-REFL))
 (6 6 (:LINEAR LEN-WHEN-PREFIXP))
 (6 6 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6 3 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (3 3 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (3 3 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (3 3 (:REWRITE DEFAULT-+-1))
 (3 3 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-57)
(ABS-MKDIR-CORRECTNESS-LEMMA-61
 (566442 20891 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (308119 8584 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (305904 24255 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (258980 8975 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (258643 1503 (:REWRITE EQUAL-OF-ABS-FILE))
 (236089 8555 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (228440 1503 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (121454 2536 (:DEFINITION PUT-ASSOC-EQUAL))
 (118488 12148 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (116633 1199 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-ABS-PLACE-FILE-HELPER . 3))
 (100653 7389 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (74024 7323 (:DEFINITION ASSOC-EQUAL))
 (65408 15125 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (64116 1578 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (62171 15464 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (55926 7998 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (53035 20679 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (43689 6757 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (42790 1439 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (42285 5293 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (39461 19817 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (38489 1199 (:REWRITE M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (38210 8975 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (36478 3606 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (35182 35182 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (31851 31851 (:REWRITE DEFAULT-CAR))
 (27732 7472 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (25300 25300 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (24650 9538 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (24219 6893 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (23797 23797 (:REWRITE DEFAULT-CDR))
 (23613 1725 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (22175 3185 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (21642 21642 (:TYPE-PRESCRIPTION ABS-PLACE-FILE-HELPER-OF-APPEND-LEMMA-2))
 (20679 20679 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (19718 19718 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (19389 19389 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (19362 1383 (:REWRITE ZP-OPEN))
 (19256 2407 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (19014 2274 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (16800 70 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (10044 1674 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (9538 9538 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (8839 1238 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (7635 609 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (7620 2546 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (7212 3606 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (6080 304 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (5911 5911 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (5532 2766 (:REWRITE DEFAULT-<-2))
 (5223 5223 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (4509 4509 (:TYPE-PRESCRIPTION ABS-FILE))
 (4509 1503 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (4500 1500 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (3804 618 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (3710 112 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (3348 3348 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (3040 3040 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-OF-APPEND-LEMMA-1))
 (2918 2918 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2918 2918 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (2918 2918 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (2918 2918 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (2918 2918 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (2766 2766 (:REWRITE DEFAULT-<-1))
 (2563 2563 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2407 2407 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (2407 2407 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (2398 2398 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (2270 2270 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (2265 2265 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (2265 2265 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (2100 70 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (1720 1720 (:REWRITE ABS-NO-DUPS-FILE-P-OF-ABS-NO-DUPS-FILE-FIX))
 (1674 1674 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1503 1503 (:TYPE-PRESCRIPTION D-E-P))
 (1503 1503 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (1257 1257 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (1257 1257 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (608 608 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (608 608 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (570 570 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-NO-DUPS-FILE-FIX))
 (382 382 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (304 304 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-1))
 (70 70 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (70 70 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (16 16 (:LINEAR LEN-WHEN-PREFIXP))
 (16 16 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-69
 (22129 1271 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (20577 139 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (17614 114 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (12748 18 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (12700 302 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (12343 18 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (9368 18 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (9093 106 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8767 122 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (8178 464 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (7986 72 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (6626 122 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 1))
 (6418 122 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 2))
 (6214 338 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (5666 676 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (5465 135 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (5164 1291 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (4153 1291 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (3950 910 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (3825 306 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (3674 3674 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (3000 150 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (2819 89 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (2728 150 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (2707 148 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (2670 5 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (2496 338 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (2496 338 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (2496 338 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2480 310 (:DEFINITION LEN))
 (2419 223 (:DEFINITION ASSOC-EQUAL))
 (2226 84 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (2223 60 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (2028 1014 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1944 22 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (1878 22 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (1818 338 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1677 1677 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1658 1658 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1457 1457 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (1456 1456 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1328 740 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1271 1271 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1131 22 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (1014 1014 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1001 1001 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (930 310 (:REWRITE DEFAULT-+-2))
 (878 878 (:REWRITE DEFAULT-CAR))
 (826 826 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (574 28 (:DEFINITION ABS-ASSOC-DEFINITION))
 (572 572 (:TYPE-PRESCRIPTION M1-FILE-P))
 (451 79 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (431 111 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (420 70 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (364 56 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (310 310 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (310 310 (:REWRITE DEFAULT-+-1))
 (300 300 (:LINEAR LEN-WHEN-PREFIXP))
 (300 300 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (274 274 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (244 244 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (224 56 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (224 14 (:REWRITE SUBSETP-CAR-MEMBER))
 (204 204 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (192 32 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (168 42 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (167 167 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (150 150 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (147 147 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (133 133 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (132 132 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (126 28 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (102 102 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (84 14 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (79 79 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (73 73 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 (70 70 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (70 14 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (70 14 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (64 64 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (60 60 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (57 22 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (56 56 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (56 14 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (56 14 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-1))
 (46 22 (:REWRITE DEFAULT-<-1))
 (44 44 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (42 14 (:DEFINITION NATP))
 (37 37 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (28 28 (:TYPE-PRESCRIPTION NATP))
 (28 28 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (28 28 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (28 28 (:REWRITE SUBSETP-TRANS2))
 (28 28 (:REWRITE SUBSETP-TRANS))
 (22 22 (:REWRITE DEFAULT-<-2))
 (18 18 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (14 14 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (14 14 (:REWRITE SUBSETP-MEMBER . 4))
 (14 14 (:REWRITE SUBSETP-MEMBER . 3))
 (14 14 (:REWRITE SUBSETP-MEMBER . 2))
 (14 14 (:REWRITE SUBSETP-MEMBER . 1))
 (14 14 (:REWRITE MEMBER-WHEN-ATOM))
 (14 14 (:REWRITE INTERSECTP-MEMBER . 3))
 (14 14 (:REWRITE INTERSECTP-MEMBER . 2))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-79
 (300856 54 (:DEFINITION ABSFAT-SUBSETP))
 (300348 2 (:DEFINITION ABS-FS-FIX))
 (296266 9023 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (274114 1129 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (244380 152 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (242668 692 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (237902 82 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (226720 82 (:REWRITE ABS-FILE-P-ALT))
 (219984 200 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (215044 692 (:DEFINITION M1-REGULAR-FILE-P))
 (207912 848 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (203355 2337 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (197976 50 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (197026 50 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (165180 416 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (156754 1119 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (154312 376 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (131030 1366 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (107566 2076 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (81504 692 (:DEFINITION UNSIGNED-BYTE-P))
 (80812 692 (:DEFINITION INTEGER-RANGE-P))
 (76142 200 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (60023 1197 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 2))
 (53132 692 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (52799 1197 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 1))
 (51368 172 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (49224 14 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (44060 2287 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (36583 4574 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (32788 10027 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (31141 10027 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (29415 29311 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (19845 15693 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (18360 82 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (18267 4247 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (18209 2287 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (18203 2287 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (16316 1415 (:DEFINITION ASSOC-EQUAL))
 (13872 6861 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (13840 692 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (12875 823 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (12001 11977 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (11072 1384 (:DEFINITION LEN))
 (11072 692 (:REWRITE LENGTH-WHEN-STRINGP))
 (10391 10391 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (9532 2337 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (9204 194 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (9173 9023 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (8471 3269 (:REWRITE DEFAULT-CDR))
 (8098 8098 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (8082 82 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (8060 8060 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (7836 82 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (7576 3772 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (7042 1366 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (6920 6920 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (6861 6861 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (5456 5452 (:REWRITE DEFAULT-CAR))
 (5366 5366 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (5184 30 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (4382 4382 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (4152 1384 (:REWRITE DEFAULT-+-2))
 (2700 2700 (:TYPE-PRESCRIPTION M1-FILE-P))
 (2308 110 (:DEFINITION ABS-ASSOC-DEFINITION))
 (2226 371 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (2220 594 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2020 82 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (1922 346 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1384 1384 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (1384 1384 (:REWRITE DEFAULT-+-1))
 (1384 1384 (:LINEAR LEN-WHEN-PREFIXP))
 (1384 1384 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1384 692 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (1278 346 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1212 206 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (1197 1197 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (1188 1188 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1187 1187 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1181 1181 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1138 1138 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (936 54 (:REWRITE SUBSETP-CAR-MEMBER))
 (725 725 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (700 50 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (692 692 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (569 569 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (556 148 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (528 528 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (522 108 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (450 50 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (432 102 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (346 346 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (346 346 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (276 276 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (270 270 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (216 54 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-1))
 (174 2 (:REWRITE ABS-FILE->CONTENTS$INLINE-OF-ABS-FILE-FIX-X))
 (164 164 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (154 154 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (148 148 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (144 108 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (144 108 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (124 124 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (110 110 (:TYPE-PRESCRIPTION NATP))
 (108 108 (:REWRITE SUBSETP-TRANS2))
 (108 108 (:REWRITE SUBSETP-TRANS))
 (102 102 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (100 100 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (100 50 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (82 82 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (70 70 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (54 54 (:REWRITE SUBSETP-MEMBER . 2))
 (54 54 (:REWRITE SUBSETP-MEMBER . 1))
 (50 50 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (50 50 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (36 6 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (34 34 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 (30 6 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (26 2 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (24 8 (:DEFINITION NATP))
 (24 4 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (16 2 (:REWRITE NFIX-WHEN-ZP))
 (14 14 (:REWRITE DEFAULT-<-2))
 (14 14 (:REWRITE DEFAULT-<-1))
 (14 14 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (12 2 (:REWRITE ZP-OPEN))
 (10 2 (:REWRITE NFIX-WHEN-NATP))
 (8 8 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (6 6 (:REWRITE SUBSETP-MEMBER . 4))
 (6 6 (:REWRITE SUBSETP-MEMBER . 3))
 (6 6 (:REWRITE MEMBER-WHEN-ATOM))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 3))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 2))
 (6 6 (:REWRITE CDR-CONS))
 (6 2 (:DEFINITION NFIX))
 (4 4 (:REWRITE CAR-CONS))
 (2 2 (:REWRITE ABS-FILE->D-E$INLINE-OF-ABS-FILE-FIX-X))
 )
(LEMMA
 (30320 370 (:REWRITE EQUAL-OF-ABS-FILE))
 (27809 6938 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (17132 370 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (17130 2514 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (14865 1550 (:DEFINITION ASSOC-EQUAL))
 (13594 681 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (10038 10038 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (10001 1581 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (9785 478 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (8889 321 (:REWRITE M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (8538 2749 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6395 1279 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (5996 181 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (5606 4422 (:REWRITE DEFAULT-CDR))
 (5466 606 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (5256 5256 (:REWRITE DEFAULT-CAR))
 (4982 386 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (4957 539 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (4470 4470 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4415 153 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (4101 329 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (3934 281 (:REWRITE ZP-OPEN))
 (3903 1047 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (3852 3852 (:TYPE-PRESCRIPTION ABS-PLACE-FILE-HELPER-OF-APPEND-LEMMA-2))
 (3100 3100 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (3030 3030 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2959 2341 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2916 486 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (2849 1184 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (2598 681 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1946 222 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 2))
 (1884 939 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1605 321 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1545 309 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1440 1440 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (1288 152 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (1279 1279 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (1252 313 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1228 222 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 1))
 (1124 562 (:REWRITE DEFAULT-<-2))
 (1110 1110 (:TYPE-PRESCRIPTION ABS-FILE))
 (1110 370 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (980 49 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (976 244 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (972 972 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (959 33 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (939 939 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (859 161 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (642 321 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (590 590 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (562 562 (:REWRITE DEFAULT-<-1))
 (486 486 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (389 389 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (378 378 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (370 370 (:TYPE-PRESCRIPTION D-E-P))
 (370 370 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (368 368 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (321 321 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (297 297 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (294 294 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-OF-APPEND-LEMMA-1))
 (232 232 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (232 232 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (172 172 (:REWRITE ABS-NO-DUPS-FILE-P-OF-ABS-NO-DUPS-FILE-FIX))
 (167 35 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (136 136 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (132 132 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (99 99 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (99 99 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (66 66 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (49 49 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-1))
 (35 35 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (28 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (22 2 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (11 11 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (4 4 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-68)
(LEMMA
 (34081 8470 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (29900 366 (:REWRITE EQUAL-OF-ABS-FILE))
 (19467 2652 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (17719 1856 (:DEFINITION ASSOC-EQUAL))
 (16746 366 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (13430 1736 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (13420 693 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (12182 12182 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (11814 578 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (11771 3018 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (8729 307 (:REWRITE M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (8190 201 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (7296 193 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (7085 1417 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (6609 779 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (6599 4951 (:REWRITE DEFAULT-CDR))
 (6347 6347 (:REWRITE DEFAULT-CAR))
 (5354 556 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (5174 381 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (5002 5002 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4528 1028 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (4430 269 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 1))
 (4256 304 (:REWRITE ZP-OPEN))
 (3866 302 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (3712 3712 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (3684 3684 (:TYPE-PRESCRIPTION ABS-PLACE-FILE-HELPER-OF-APPEND-LEMMA-2))
 (3498 583 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (3405 3405 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (3167 2563 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (3140 1283 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (2670 693 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (2506 269 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 2))
 (2024 999 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1605 321 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1597 1597 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (1535 307 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1417 1417 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (1358 33 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (1332 333 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1220 143 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (1216 608 (:REWRITE DEFAULT-<-2))
 (1180 59 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (1166 1166 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1098 1098 (:TYPE-PRESCRIPTION ABS-FILE))
 (1098 366 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (999 999 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (976 244 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (972 180 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (717 717 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (614 307 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (608 608 (:REWRITE DEFAULT-<-1))
 (599 599 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (598 39 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (583 583 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (493 493 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (459 459 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (425 425 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (366 366 (:TYPE-PRESCRIPTION D-E-P))
 (366 366 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (354 354 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-OF-APPEND-LEMMA-1))
 (307 307 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (297 297 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (279 279 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (279 279 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (155 155 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (147 147 (:REWRITE ABS-NO-DUPS-FILE-P-OF-ABS-NO-DUPS-FILE-FIX))
 (132 132 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (125 125 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (125 125 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (86 6 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (84 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (66 66 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (59 59 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-1))
 (39 39 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (27 27 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (12 12 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-37)
(LEMMA
 (49257 12255 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (32758 399 (:REWRITE EQUAL-OF-ABS-FILE))
 (24820 2607 (:DEFINITION ASSOC-EQUAL))
 (24157 3182 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (18641 2153 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (17971 399 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (17469 17469 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (17251 794 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (16146 3672 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (14421 764 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (11908 271 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (10796 265 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (9490 6354 (:REWRITE DEFAULT-CDR))
 (9292 330 (:REWRITE M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (9102 1142 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (8963 8963 (:REWRITE DEFAULT-CAR))
 (8830 1766 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (7557 365 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 1))
 (6308 6308 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (6005 611 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (5996 421 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (5214 5214 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (5184 364 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (5108 1133 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (4776 796 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (4634 331 (:REWRITE ZP-OPEN))
 (4307 4307 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (3960 3960 (:TYPE-PRESCRIPTION ABS-PLACE-FILE-HELPER-OF-APPEND-LEMMA-2))
 (3814 365 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 2))
 (3624 2979 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (3494 1385 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (2956 764 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (2270 1119 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2001 2001 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (1844 175 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (1785 357 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1766 1766 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (1650 330 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1592 1592 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1492 373 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1390 35 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (1380 69 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (1324 662 (:REWRITE DEFAULT-<-2))
 (1307 235 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (1197 1197 (:TYPE-PRESCRIPTION ABS-FILE))
 (1197 399 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (1137 1137 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (1119 1119 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1072 268 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (823 823 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (796 796 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (662 662 (:REWRITE DEFAULT-<-1))
 (660 330 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (639 639 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (639 639 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (638 638 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (616 43 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (592 592 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (414 414 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-OF-APPEND-LEMMA-1))
 (399 399 (:TYPE-PRESCRIPTION D-E-P))
 (399 399 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (371 371 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (371 371 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (330 330 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (315 315 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (195 189 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (177 177 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (177 177 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (158 158 (:REWRITE ABS-NO-DUPS-FILE-P-OF-ABS-NO-DUPS-FILE-FIX))
 (140 140 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (112 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (108 8 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (70 70 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (69 69 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-1))
 (60 12 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (43 43 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (36 36 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (24 24 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (16 16 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (12 12 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (8 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-21)
(LEMMA
 (30320 370 (:REWRITE EQUAL-OF-ABS-FILE))
 (28005 6987 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (17336 2546 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (17132 370 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (15030 1568 (:DEFINITION ASSOC-EQUAL))
 (13594 681 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (10123 10123 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (10111 1607 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (10022 493 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (8889 321 (:REWRITE M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (8644 2804 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6525 1305 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (6185 190 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (5687 4455 (:REWRITE DEFAULT-CDR))
 (5502 612 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (5316 5316 (:REWRITE DEFAULT-CAR))
 (4982 386 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (4957 539 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (4528 4528 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4439 159 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (4266 338 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (3934 281 (:REWRITE ZP-OPEN))
 (3903 1047 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (3852 3852 (:TYPE-PRESCRIPTION ABS-PLACE-FILE-HELPER-OF-APPEND-LEMMA-2))
 (3381 239 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 2))
 (3136 3136 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (3062 3062 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2983 2365 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2934 489 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (2903 1202 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (2598 681 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1884 939 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1605 321 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1545 309 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1466 1466 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (1427 239 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 1))
 (1372 158 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (1305 1305 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (1252 313 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1124 562 (:REWRITE DEFAULT-<-2))
 (1110 1110 (:TYPE-PRESCRIPTION ABS-FILE))
 (1110 370 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (980 49 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (978 978 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (976 244 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (959 33 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (939 939 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (859 161 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (642 321 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (596 596 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (577 577 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (577 577 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (562 562 (:REWRITE DEFAULT-<-1))
 (489 489 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (392 392 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (387 387 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (371 371 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (370 370 (:TYPE-PRESCRIPTION D-E-P))
 (370 370 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (321 321 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (297 297 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (294 294 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-OF-APPEND-LEMMA-1))
 (232 232 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (232 232 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (172 172 (:REWRITE ABS-NO-DUPS-FILE-P-OF-ABS-NO-DUPS-FILE-FIX))
 (167 35 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (136 136 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (132 132 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (99 99 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (99 99 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (66 66 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (49 49 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-1))
 (35 35 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (28 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (22 2 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (11 11 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (4 4 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-26)
(LEMMA
 (38453 9563 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (31634 384 (:REWRITE EQUAL-OF-ABS-FILE))
 (20654 2828 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (19546 2047 (:DEFINITION ASSOC-EQUAL))
 (17430 384 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (14524 1840 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (13928 730 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (13657 13657 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (12850 611 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (12377 3184 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (8999 319 (:REWRITE M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (8813 214 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (7660 206 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (7470 1494 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (7241 5337 (:REWRITE DEFAULT-CDR))
 (7087 837 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (6978 6978 (:REWRITE DEFAULT-CAR))
 (5702 405 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (5645 581 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (5302 5302 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4814 1101 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (4507 280 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 1))
 (4424 316 (:REWRITE ZP-OPEN))
 (4418 326 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (4094 4094 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (3828 3828 (:TYPE-PRESCRIPTION ABS-PLACE-FILE-HELPER-OF-APPEND-LEMMA-2))
 (3750 625 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (3616 3616 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (3286 2664 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (3204 1308 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (2820 730 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (2622 280 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 2))
 (2138 1056 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1700 340 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1686 1686 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (1625 325 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1494 1494 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (1436 155 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (1408 352 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1358 33 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (1264 632 (:REWRITE DEFAULT-<-2))
 (1250 1250 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1180 59 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (1152 1152 (:TYPE-PRESCRIPTION ABS-FILE))
 (1152 384 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (1056 1056 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1032 192 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (1024 256 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (854 854 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (650 325 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (632 632 (:REWRITE DEFAULT-<-1))
 (625 625 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (623 623 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (623 623 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (623 623 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (623 623 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (601 601 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (598 39 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (496 496 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (462 462 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (384 384 (:TYPE-PRESCRIPTION D-E-P))
 (384 384 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (354 354 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-OF-APPEND-LEMMA-1))
 (319 319 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (303 303 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (300 300 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (300 300 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (165 165 (:REWRITE ABS-NO-DUPS-FILE-P-OF-ABS-NO-DUPS-FILE-FIX))
 (162 162 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (132 132 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (125 125 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (125 125 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (86 6 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (84 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (66 66 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (59 59 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-1))
 (39 39 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (28 28 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (12 12 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-28)
(ABS-MKDIR-CORRECTNESS-LEMMA-60
 (31020 344 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (20018 2214 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (12283 487 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (12070 487 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (11384 120 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 2))
 (7785 882 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (6324 6324 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (5765 838 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (5278 702 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (5265 351 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (4914 351 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (4400 487 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (3523 351 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3359 1053 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3267 2214 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3168 1233 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2817 1233 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (2808 702 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (2808 351 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (2280 120 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 1))
 (2106 702 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1404 1404 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1233 1233 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1053 1053 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (702 702 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (702 702 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (702 702 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (702 351 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (675 135 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (351 351 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (351 351 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (135 135 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 (94 94 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (26 13 (:REWRITE DEFAULT-<-2))
 (13 13 (:REWRITE DEFAULT-<-1))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-5
 (4709 195 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (4199 79 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (3155 75 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (2867 86 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (2864 234 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (2571 20 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (2449 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (2350 52 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (1554 72 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1228 82 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1046 37 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (945 230 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (894 15 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (689 138 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (655 15 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (623 72 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (565 75 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (538 27 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (522 83 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (516 5 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (433 168 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (419 10 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (374 83 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (363 27 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (333 57 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (329 82 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (316 316 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (312 88 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (298 28 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (291 291 (:TYPE-PRESCRIPTION ABS-FS-P))
 (276 195 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (256 256 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (256 15 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (251 91 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (225 45 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (219 56 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (216 27 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (211 211 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (211 15 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (203 15 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (200 45 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (185 185 (:REWRITE DEFAULT-CAR))
 (183 183 (:REWRITE DEFAULT-CDR))
 (168 168 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (166 166 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (166 15 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (163 163 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (162 27 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (151 151 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (114 42 (:REWRITE DEFAULT-+-2))
 (95 2 (:REWRITE LEN-WHEN-PREFIXP))
 (91 91 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (86 86 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (86 86 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (76 76 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (75 5 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (68 4 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (65 65 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (62 17 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (60 2 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (54 54 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (54 27 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (45 45 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (45 45 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (43 43 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (43 43 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (42 42 (:REWRITE DEFAULT-+-1))
 (38 38 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (33 4 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (30 30 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (28 28 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (28 28 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (28 2 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (27 27 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (27 27 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (26 5 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (23 8 (:REWRITE DEFAULT-<-2))
 (21 7 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (20 20 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (15 15 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (15 8 (:REWRITE DEFAULT-<-1))
 (14 14 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (14 14 (:LINEAR LEN-WHEN-PREFIXP))
 (14 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (12 12 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (12 12 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (12 12 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (12 12 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (12 12 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (12 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (11 11 (:TYPE-PRESCRIPTION PREFIXP))
 (10 10 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (10 10 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (10 10 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (8 8 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (7 7 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (5 5 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (4 4 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (4 4 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (4 4 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (4 4 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (4 4 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (4 4 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6
 (381 8 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (240 3 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (205 4 (:REWRITE LEN-WHEN-PREFIXP))
 (152 8 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (128 2 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (104 4 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (67 8 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (60 10 (:DEFINITION LEN))
 (57 4 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (40 10 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (39 1 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (34 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (30 30 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (30 10 (:REWRITE DEFAULT-+-2))
 (30 6 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (28 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (25 10 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (22 22 (:TYPE-PRESCRIPTION PREFIXP))
 (21 21 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (20 20 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (20 20 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (19 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (18 2 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (17 1 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (16 16 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (16 16 (:REWRITE DEFAULT-CDR))
 (16 1 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (15 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (15 1 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (14 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (13 6 (:REWRITE DEFAULT-<-2))
 (13 6 (:REWRITE DEFAULT-<-1))
 (13 1 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (12 9 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (10 10 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (10 10 (:REWRITE DEFAULT-+-1))
 (10 10 (:LINEAR LEN-WHEN-PREFIXP))
 (10 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (9 9 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (9 6 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (8 8 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (8 8 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (8 8 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (8 8 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (8 8 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (8 3 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (8 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (8 1 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (7 3 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (6 6 (:REWRITE DEFAULT-CAR))
 (6 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (5 5 (:TYPE-PRESCRIPTION ABS-FS-P))
 (5 1 (:REWRITE NFIX-WHEN-NATP))
 (4 4 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 1 (:REWRITE NFIX-WHEN-ZP))
 (3 3 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (3 1 (:DEFINITION NATP))
 (2 2 (:TYPE-PRESCRIPTION ZP))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (2 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (1 1 (:REWRITE ZP-OPEN))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-9
 (704 176 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (355 176 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (346 173 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (175 175 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (105 5 (:REWRITE DEFAULT-CDR))
 (90 4 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (70 2 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (53 1 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (53 1 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (36 4 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (36 1 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (32 3 (:DEFINITION ASSOC-EQUAL))
 (22 1 (:REWRITE 1ST-COMPLETE-CORRECTNESS-1))
 (20 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (18 6 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (18 1 (:REWRITE ZP-OPEN))
 (9 9 (:REWRITE DEFAULT-CAR))
 (8 8 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (8 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6 6 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (6 6 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (6 2 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (6 2 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (6 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 2 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (4 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (4 2 (:REWRITE DEFAULT-<-2))
 (4 1 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (3 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (2 2 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (2 1 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (2 1 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-10
 (21163 789 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (15438 53 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (15395 27 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (10523 310 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (10185 19 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (9465 35 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (9422 46 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (6666 35 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (4588 116 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (3911 162 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (3848 9 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (2423 35 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (1989 477 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1941 363 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1912 239 (:DEFINITION LEN))
 (1899 1825 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1825 1825 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1766 14 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (1710 1653 (:REWRITE DEFAULT-CDR))
 (1698 578 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1612 1535 (:REWRITE DEFAULT-CAR))
 (1484 15 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (1401 382 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (925 185 (:REWRITE DEFAULT-<-1))
 (838 783 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (756 756 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (756 756 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (717 239 (:REWRITE DEFAULT-+-2))
 (666 666 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (520 129 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (430 430 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (363 363 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (353 333 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (324 324 (:LINEAR LEN-WHEN-PREFIXP))
 (324 324 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (289 129 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (273 13 (:DEFINITION ABS-ASSOC-DEFINITION))
 (260 260 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (239 239 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (239 239 (:REWRITE DEFAULT-+-1))
 (231 80 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (210 35 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (209 209 (:TYPE-PRESCRIPTION M1-FILE-P))
 (185 185 (:REWRITE DEFAULT-<-2))
 (160 160 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (134 13 (:DEFINITION ASSOC-EQUAL))
 (130 26 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (130 10 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (126 13 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (105 35 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (104 26 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (102 102 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (70 70 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (60 30 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (50 50 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (45 15 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (30 30 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (28 16 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (26 26 (:TYPE-PRESCRIPTION ZP))
 (26 26 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (20 10 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (13 13 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (13 13 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (9 9 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (9 9 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (9 9 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (9 9 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-12
 (2616 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (1896 20 (:REWRITE LEN-WHEN-PREFIXP))
 (1666 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (1280 32 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (1160 20 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1106 12 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (1078 12 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (892 16 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (866 20 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (852 32 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (522 68 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (316 44 (:DEFINITION LEN))
 (294 88 (:REWRITE DEFAULT-CDR))
 (258 48 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (232 2 (:DEFINITION NTHCDR))
 (190 10 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (184 46 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (162 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (136 48 (:REWRITE DEFAULT-+-2))
 (136 8 (:REWRITE ZP-OPEN))
 (120 120 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (118 38 (:REWRITE DEFAULT-<-2))
 (98 46 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (96 8 (:REWRITE NFIX-WHEN-ZP))
 (90 48 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (90 48 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (86 38 (:REWRITE DEFAULT-<-1))
 (80 80 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (80 40 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (76 76 (:LINEAR LEN-WHEN-PREFIXP))
 (76 76 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (72 72 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (72 2 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (62 62 (:TYPE-PRESCRIPTION PREFIXP))
 (62 6 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (60 4 (:DEFINITION TRUE-LISTP))
 (48 48 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (48 48 (:REWRITE SUBSETP-TRANS2))
 (48 48 (:REWRITE SUBSETP-TRANS))
 (48 48 (:REWRITE DEFAULT-+-1))
 (48 4 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (44 44 (:REWRITE DEFAULT-CAR))
 (44 32 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (44 4 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (44 2 (:REWRITE 1ST-COMPLETE-CORRECTNESS-1))
 (42 4 (:DEFINITION ASSOC-EQUAL))
 (40 34 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (38 8 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (35 5 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (34 4 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (32 32 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (32 32 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (30 30 (:REWRITE CONSP-OF-LIST-FIX))
 (30 12 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (22 22 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (20 20 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (20 8 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (18 12 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (16 16 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (16 8 (:REWRITE NFIX-WHEN-NATP))
 (16 4 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (14 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (14 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (12 12 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (12 12 (:TYPE-PRESCRIPTION D-E-P))
 (12 12 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (12 12 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (12 12 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (12 12 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (12 6 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (12 2 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (10 6 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (8 8 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (8 8 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (8 4 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (8 2 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (6 6 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (6 6 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (6 6 (:REWRITE SET::IN-SET))
 (6 6 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (6 3 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (6 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (5 5 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (5 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4 4 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (4 4 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (4 4 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (4 2 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (2 1 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-14
 (6124 85 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (6109 152 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (5664 35 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (4991 91 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (4433 89 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (3828 42 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (3579 85 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (3421 805 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (3122 66 (:REWRITE LEN-WHEN-PREFIXP))
 (2949 112 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (2774 82 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (2742 102 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (2730 102 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (2292 165 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1850 25 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (1740 127 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1330 8 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (1312 584 (:REWRITE DEFAULT-CDR))
 (1272 25 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (1251 126 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1116 134 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1080 66 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (1015 94 (:DEFINITION ASSOC-EQUAL))
 (952 220 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (918 12 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (834 66 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (782 68 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (781 267 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (693 82 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (688 88 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (665 227 (:REWRITE DEFAULT-+-2))
 (663 663 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (638 58 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (586 293 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (585 3 (:REWRITE EQUAL-OF-ABS-FILE))
 (557 28 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (546 332 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (525 10 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (518 3 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (497 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (436 436 (:REWRITE DEFAULT-CAR))
 (348 58 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (332 88 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (322 322 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (315 63 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (313 313 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (307 152 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (306 6 (:DEFINITION PUT-ASSOC-EQUAL))
 (286 3 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-ABS-PLACE-FILE-HELPER . 3))
 (267 267 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (265 103 (:REWRITE DEFAULT-<-2))
 (265 27 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (262 262 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (258 258 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (257 103 (:REWRITE DEFAULT-<-1))
 (252 7 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (236 89 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (230 230 (:LINEAR LEN-WHEN-PREFIXP))
 (227 227 (:REWRITE DEFAULT-+-1))
 (216 25 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (203 30 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (200 200 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (195 39 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (189 189 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (173 173 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (169 166 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (168 10 (:REWRITE ZP-OPEN))
 (154 7 (:REWRITE 1ST-COMPLETE-CORRECTNESS-1))
 (121 100 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (121 100 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (116 26 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (112 85 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (102 102 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (102 102 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (102 102 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (102 102 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (99 11 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (85 85 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (82 8 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (80 40 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (75 75 (:REWRITE ABS-NO-DUPS-P-OF-FRAME->ROOT))
 (72 3 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-2))
 (70 6 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (64 64 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (64 64 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (64 3 (:REWRITE M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (63 63 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (60 60 (:TYPE-PRESCRIPTION ABS-PLACE-FILE-HELPER-OF-APPEND-LEMMA-2))
 (57 57 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (57 57 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (57 57 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (55 3 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (55 1 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (54 54 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-FIX))
 (52 52 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (48 1 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (42 42 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (42 21 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (38 38 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (35 35 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (35 35 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (35 35 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (35 35 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (35 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (34 34 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (34 34 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (33 33 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (32 26 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (32 26 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (32 7 (:REWRITE ABS-NO-DUPS-FILE-FIX-WHEN-ABS-NO-DUPS-FILE-P))
 (30 2 (:DEFINITION TRUE-LISTP))
 (29 29 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (28 7 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (26 26 (:REWRITE SUBSETP-TRANS2))
 (26 26 (:REWRITE SUBSETP-TRANS))
 (25 25 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (22 2 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (21 21 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (21 21 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (21 7 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (21 7 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (21 2 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (19 4 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (17 11 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (16 16 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (15 3 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (10 10 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (10 4 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (9 9 (:TYPE-PRESCRIPTION D-E-P))
 (9 9 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (9 9 (:TYPE-PRESCRIPTION ABS-FILE))
 (9 3 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (8 4 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (7 7 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (7 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (6 6 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (6 6 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-9))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (6 3 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (6 3 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (5 5 (:REWRITE CONSP-OF-LIST-FIX))
 (5 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (5 1 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (5 1 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (4 4 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (4 2 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (3 3 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (3 3 (:REWRITE SET::IN-SET))
 (3 3 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (3 3 (:REWRITE ABS-NO-DUPS-FILE-P-OF-ABS-NO-DUPS-FILE-FIX))
 (2 2 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (2 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (2 2 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-NO-DUPS-FILE-FIX))
 (2 1 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (2 1 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 )
(INDUCTION-SCHEME
 (44849 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (42079 30 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (39015 597 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (38292 591 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (33770 361 (:REWRITE LEN-WHEN-PREFIXP))
 (33718 34 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (32296 462 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (31320 863 (:DEFINITION LEN))
 (29769 469 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (26318 1119 (:REWRITE DEFAULT-CDR))
 (25397 348 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (20334 534 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (13925 365 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (10201 1832 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (8725 155 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (5540 15 (:REWRITE CONSP-OF-NTHCDR))
 (2683 877 (:REWRITE DEFAULT-+-2))
 (2060 1872 (:LINEAR LEN-WHEN-PREFIXP))
 (1778 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (1698 558 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1698 388 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1629 24 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1628 558 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (1605 77 (:REWRITE NFIX-WHEN-ZP))
 (1585 451 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1483 434 (:REWRITE DEFAULT-<-2))
 (1436 20 (:REWRITE LEN-OF-FRAME->FRAME-OF-COLLAPSE-THIS-2))
 (1317 451 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1290 2 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (1286 20 (:REWRITE LEN-OF-FRAME->FRAME-OF-COLLAPSE-THIS-1))
 (1237 434 (:REWRITE DEFAULT-<-1))
 (1216 529 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1159 12 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (1105 290 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (939 10 (:REWRITE LEN-OF-NTHCDR))
 (907 877 (:REWRITE DEFAULT-+-1))
 (840 420 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (806 77 (:REWRITE NFIX-WHEN-NATP))
 (734 80 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (717 24 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (645 24 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (610 610 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (578 34 (:DEFINITION NATP))
 (506 506 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (477 477 (:TYPE-PRESCRIPTION STRIP-CARS))
 (465 462 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (462 462 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (462 462 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (462 462 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (457 457 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (434 48 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (415 24 (:REWRITE SUBSETP-CAR-MEMBER))
 (403 2 (:DEFINITION NTHCDR))
 (391 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (362 24 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (354 282 (:REWRITE DEFAULT-CAR))
 (345 50 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (345 48 (:DEFINITION ASSOC-EQUAL))
 (324 80 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (322 190 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (302 48 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (280 12 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (280 4 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (264 24 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (204 102 (:REWRITE SET-EQUIV-ASYM))
 (160 8 (:REWRITE FAT32-FILENAME-LIST-P-OF-NTHCDR))
 (139 24 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (132 132 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (123 2 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (115 12 (:REWRITE CTX-APP-OK-OF-CTX-APP-LIST-SEQ-LEMMA-1))
 (104 104 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (102 102 (:TYPE-PRESCRIPTION SET-EQUIV))
 (102 102 (:REWRITE SUBSETP-OF-CDR))
 (96 24 (:REWRITE MEMBER-WHEN-ATOM))
 (96 24 (:DEFINITION STRIP-CARS))
 (94 46 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (94 4 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (88 46 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (86 86 (:REWRITE SUBSETP-TRANS2))
 (86 86 (:REWRITE SUBSETP-TRANS))
 (82 82 (:TYPE-PRESCRIPTION NATP))
 (78 78 (:REWRITE SUBSETP-REFL))
 (75 75 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (74 74 (:TYPE-PRESCRIPTION ABS-FS-P))
 (72 72 (:REWRITE CONSP-OF-STRIP-CARS))
 (64 40 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (60 33 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (56 50 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (55 24 (:TYPE-PRESCRIPTION FINAL-VAL-SEQ-OF-COLLAPSE-THIS-LEMMA-7))
 (55 24 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (54 30 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (52 50 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (50 50 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (48 48 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (48 48 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (48 48 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (48 24 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (40 10 (:REWRITE DEFAULT-UNARY-MINUS))
 (39 4 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (38 19 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (36 12 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 1))
 (33 33 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (32 2 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (29 29 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (29 29 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (24 24 (:TYPE-PRESCRIPTION VALID-SEQP))
 (24 24 (:REWRITE SUBSETP-MEMBER . 4))
 (24 24 (:REWRITE SUBSETP-MEMBER . 3))
 (24 24 (:REWRITE SUBSETP-MEMBER . 2))
 (24 24 (:REWRITE SUBSETP-MEMBER . 1))
 (24 24 (:REWRITE INTERSECTP-MEMBER . 3))
 (24 24 (:REWRITE INTERSECTP-MEMBER . 2))
 (24 24 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (24 12 (:REWRITE VALID-SEQP-WHEN-PREFIXP))
 (20 6 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (20 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (16 4 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (14 7 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (14 2 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (12 12 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (12 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (11 11 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (11 11 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (11 11 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (11 11 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (9 9 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (8 8 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (8 8 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (8 8 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (8 8 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (6 6 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (6 6 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (6 6 (:REWRITE CAR-OF-NTHCDR))
 (6 2 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (6 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (6 2 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (6 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (6 2 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (6 1 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 4 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (4 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (4 2 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (4 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (3 3 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (3 1 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (3 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-9))
 (1 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-14))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 )
(COLLAPSE-HIFAT-PLACE-FILE-1
 (5273 14 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (5144 149 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (4835 11 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (4677 2 (:REWRITE ABS-SEPARATE-CORRECTNESS-2))
 (3726 75 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (3668 18 (:REWRITE SUBSETP-OF-REMOVE1))
 (3476 12 (:REWRITE SUBSETP-CAR-MEMBER))
 (3365 49 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3171 36 (:REWRITE REMOVE-WHEN-ABSENT))
 (3000 12 (:DEFINITION REMOVE-EQUAL))
 (2525 203 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2270 14 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (1548 28 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (1522 46 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (1468 12 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1238 1238 (:TYPE-PRESCRIPTION STRIP-CARS))
 (1185 45 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (1112 28 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (1050 15 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (1032 6 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (980 140 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (740 96 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (640 160 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (564 328 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (545 128 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (482 5 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-4))
 (456 57 (:DEFINITION ASSOC-EQUAL))
 (438 378 (:REWRITE DEFAULT-CAR))
 (427 19 (:REWRITE MEMBER-OF-STRIP-CARS))
 (398 203 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (328 328 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (328 114 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (320 160 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (299 203 (:REWRITE DEFAULT-CDR))
 (263 261 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (252 63 (:DEFINITION STRIP-CARS))
 (242 18 (:REWRITE SUBSETP-OF-REMOVE2))
 (218 4 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (216 4 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (213 12 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (208 2 (:REWRITE MEMBER-OF-ABS-TOP-ADDRS))
 (204 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (186 10 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (170 56 (:REWRITE MEMBER-WHEN-ATOM))
 (166 166 (:TYPE-PRESCRIPTION ZP))
 (158 68 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (156 8 (:REWRITE FRAME-ADDRS-ROOT-CORRECTNESS-2))
 (146 8 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-2))
 (144 144 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (140 68 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (128 128 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (116 116 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (115 115 (:REWRITE CONSP-OF-STRIP-CARS))
 (114 114 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (96 16 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (92 14 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (90 6 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (88 8 (:REWRITE HIFAT-OPENDIR-CORRECTNESS-LEMMA-2))
 (84 8 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (84 6 (:REWRITE ZP-OPEN))
 (84 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (79 79 (:REWRITE SUBSETP-TRANS2))
 (79 79 (:REWRITE SUBSETP-TRANS))
 (78 19 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (72 12 (:DEFINITION NATP))
 (72 8 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-EQUAL))
 (68 4 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (65 65 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (65 65 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (65 65 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (65 65 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (61 12 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (61 4 (:REWRITE FRAME-P-OF-REMOVE-ASSOC))
 (60 60 (:TYPE-PRESCRIPTION NATP-OF-ABS-PLACE-FILE-HELPER))
 (60 14 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (59 59 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (56 56 (:REWRITE SUBSETP-MEMBER . 4))
 (56 56 (:REWRITE SUBSETP-MEMBER . 3))
 (56 56 (:REWRITE SUBSETP-MEMBER . 2))
 (56 56 (:REWRITE SUBSETP-MEMBER . 1))
 (56 56 (:REWRITE INTERSECTP-MEMBER . 3))
 (56 56 (:REWRITE INTERSECTP-MEMBER . 2))
 (46 14 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (44 4 (:REWRITE ABS-FS-P-OF-REMOVE))
 (40 12 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (36 24 (:REWRITE DEFAULT-<-2))
 (36 8 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (28 28 (:TYPE-PRESCRIPTION SET-EQUIV))
 (24 24 (:REWRITE DEFAULT-<-1))
 (24 12 (:REWRITE SET-EQUIV-ASYM))
 (23 23 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (20 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (18 9 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (17 3 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (16 16 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (16 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (15 4 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (14 14 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (14 2 (:REWRITE DIST-NAMES-OF-REMOVE-ASSOC-1))
 (13 3 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (12 12 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (12 12 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (12 12 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-31))
 (12 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (12 2 (:REWRITE FRAME-ADDRS-ROOT-OF-REMOVE-ASSOC))
 (11 11 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (10 10 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (8 8 (:REWRITE SUBSETP-OF-REMOVE))
 (8 8 (:REWRITE SUBSETP-OF-CDR))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (7 3 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (6 6 (:REWRITE ABS-TOP-ADDRS-OF-ABS-FS-FIX))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (6 2 (:REWRITE ABS-SEPARATE-OF-REMOVE-ASSOC))
 (4 4 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (4 2 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (2 2 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (2 2 (:REWRITE ABS-FS-P-OF-COLLAPSE))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-COLLAPSE))
 )
(ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-2)
(ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-3
 (19921 702 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (13484 263 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (13482 197 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (8940 166 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (8536 30 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (7818 781 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (6750 181 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (5504 1261 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (5012 280 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (4533 53 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (3167 263 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (3060 53 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (2398 333 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1893 157 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1874 627 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1611 124 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1551 1551 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (1546 145 (:DEFINITION ASSOC-EQUAL))
 (1539 181 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (1502 333 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1208 53 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (1169 333 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1163 282 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1142 212 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1120 419 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1089 702 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (992 124 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (958 88 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (908 18 (:REWRITE LEN-WHEN-PREFIXP))
 (906 906 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (897 897 (:TYPE-PRESCRIPTION ABS-FS-P))
 (791 53 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (785 157 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (782 209 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (749 749 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (731 731 (:REWRITE DEFAULT-CDR))
 (668 36 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (632 53 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (627 627 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (575 575 (:REWRITE DEFAULT-CAR))
 (522 87 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (474 18 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (473 53 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (419 419 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (378 378 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (370 30 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (322 114 (:REWRITE DEFAULT-+-2))
 (302 302 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (300 36 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (290 290 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (278 278 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (255 18 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (248 124 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (229 59 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (174 174 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (174 174 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (165 165 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (157 157 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (157 157 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (139 139 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (126 36 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (124 124 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (124 124 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (121 121 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (121 121 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (114 114 (:REWRITE DEFAULT-+-1))
 (106 106 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (99 99 (:TYPE-PRESCRIPTION PREFIXP))
 (95 95 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (94 94 (:LINEAR LEN-WHEN-PREFIXP))
 (91 91 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (59 23 (:REWRITE DEFAULT-<-1))
 (58 23 (:REWRITE DEFAULT-<-2))
 (53 53 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (50 1 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (48 16 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (46 46 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (46 46 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (46 46 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (46 46 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (46 46 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (46 46 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (41 41 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (41 41 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (41 41 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (36 36 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (36 36 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (36 36 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (36 36 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (36 36 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (36 36 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (16 16 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (15 15 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (10 2 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 )
(ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-8
 (3153 92 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2581 22 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (2397 61 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1994 488 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1944 38 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (1869 18 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (1742 70 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (1633 7 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (1535 12 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (1366 35 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (1347 21 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (993 81 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (869 73 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (838 86 (:DEFINITION ASSOC-EQUAL))
 (826 17 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (798 54 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (761 81 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (649 465 (:REWRITE DEFAULT-CDR))
 (583 73 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (541 142 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (526 17 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (515 43 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (495 183 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (460 400 (:REWRITE DEFAULT-CAR))
 (350 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-11))
 (326 56 (:DEFINITION STRIP-CARS))
 (316 38 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (289 160 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (288 39 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (270 18 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (261 67 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (255 5 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (240 21 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (229 17 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (223 92 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (206 206 (:TYPE-PRESCRIPTION M1-FILE-P))
 (199 4 (:REWRITE LEN-OF-DIRNAME))
 (183 183 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (182 17 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (173 61 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (172 172 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (163 163 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (160 160 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (154 5 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (146 5 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (131 17 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (131 5 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (129 129 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (122 122 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (118 118 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (113 113 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (112 112 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (112 16 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (112 5 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (104 61 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (99 2 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-6))
 (83 7 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (80 80 (:TYPE-PRESCRIPTION STRIP-CARS))
 (80 16 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (78 78 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (78 39 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (71 71 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (71 2 (:REWRITE ABS-SEPARATE-OF-FRAME-WITH-ROOT))
 (68 8 (:DEFINITION LEN))
 (64 21 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (60 12 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (59 59 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (58 58 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (55 5 (:REWRITE SUBSETP-CAR-MEMBER))
 (55 5 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (54 6 (:DEFINITION NATP))
 (53 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (52 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (52 4 (:DEFINITION NFIX))
 (48 16 (:REWRITE DEFAULT-+-2))
 (46 38 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (44 44 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (42 42 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (42 42 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (40 40 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (38 38 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (37 37 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (37 10 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (34 34 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (33 33 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (33 33 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (33 33 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (32 32 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (32 2 (:REWRITE ABS-SEPARATE-OF-PARTIAL-COLLAPSE))
 (31 31 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (31 4 (:REWRITE NFIX-WHEN-ZP))
 (30 5 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (28 18 (:REWRITE DEFAULT-<-1))
 (28 4 (:REWRITE NFIX-WHEN-NATP))
 (27 18 (:REWRITE DEFAULT-<-2))
 (25 25 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (24 24 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (24 6 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (20 20 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (20 5 (:REWRITE MEMBER-WHEN-ATOM))
 (17 17 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (16 16 (:REWRITE DEFAULT-+-1))
 (16 16 (:REWRITE ABS-NO-DUPS-P-OF-FRAME->ROOT))
 (15 15 (:REWRITE CONSP-OF-STRIP-CARS))
 (12 12 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (12 12 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (12 12 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (12 6 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (11 11 (:TYPE-PRESCRIPTION NATP))
 (11 5 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (10 10 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (10 5 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (10 5 (:REWRITE SET-EQUIV-ASYM))
 (8 4 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (8 4 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (8 2 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (8 2 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (5 5 (:TYPE-PRESCRIPTION SET-EQUIV))
 (5 5 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (5 5 (:REWRITE SUBSETP-OF-CDR))
 (5 5 (:REWRITE SUBSETP-MEMBER . 4))
 (5 5 (:REWRITE SUBSETP-MEMBER . 3))
 (5 5 (:REWRITE SUBSETP-MEMBER . 2))
 (5 5 (:REWRITE SUBSETP-MEMBER . 1))
 (5 5 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (5 5 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (5 5 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (5 5 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (5 5 (:REWRITE INTERSECTP-MEMBER . 3))
 (5 5 (:REWRITE INTERSECTP-MEMBER . 2))
 (5 1 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (4 4 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-6))
 (3 3 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (3 3 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (3 1 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (2 2 (:REWRITE SUBSETP-TRANS2))
 (2 2 (:REWRITE SUBSETP-TRANS))
 (1 1 (:REWRITE STRIP-CARS-OF-FRAME-WITH-ROOT))
 (1 1 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (1 1 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 )
(ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-9
 (109427 5110 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (53560 1565 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (47394 893 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (37414 857 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (35612 1864 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (26389 95 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (26211 958 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (22006 8 (:REWRITE NAMES-AT-OF-ABS-ALLOC-LEMMA-1))
 (21262 1085 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (20264 20 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-47 . 2))
 (20214 74 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (18917 556 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (18506 382 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (17371 4149 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (15451 297 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (14068 26 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (13029 507 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (13001 1626 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (12531 514 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (12130 1626 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (11910 493 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (11307 4688 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (11294 731 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (11183 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-47 . 1))
 (11065 2271 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (11042 1298 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (10683 1085 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (10141 104 (:REWRITE EQUAL-OF-ABS-FILE))
 (9670 2896 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (8683 493 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (8256 1361 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (7826 270 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (7811 6143 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (7410 390 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (7375 1179 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (6843 5106 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6801 42 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (6648 695 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (5933 139 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (5810 1634 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (5793 63 (:REWRITE M1-FILE-P-OF-ABS-FILE))
 (5766 118 (:DEFINITION PUT-ASSOC-EQUAL))
 (5612 1057 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (5304 3668 (:REWRITE DEFAULT-CDR))
 (4871 81 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (4688 4688 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (4476 4476 (:TYPE-PRESCRIPTION M1-FILE-P))
 (3966 3966 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (3777 84 (:DEFINITION UNSIGNED-BYTE-P))
 (3701 219 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (3693 84 (:DEFINITION INTEGER-RANGE-P))
 (3650 2538 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (3248 3248 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (3167 219 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (2942 2942 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2896 2896 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2646 441 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (2438 302 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (2385 46 (:REWRITE LEN-WHEN-PREFIXP))
 (2364 2364 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (2315 463 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (2261 507 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (2126 310 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (2114 2114 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1980 7 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-1))
 (1959 1959 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (1933 100 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (1722 126 (:REWRITE LENGTH-WHEN-STRINGP))
 (1674 139 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (1668 139 (:REWRITE ABS-FILE->CONTENTS$INLINE-OF-ABS-FILE-FIX-X))
 (1357 196 (:REWRITE NFIX-WHEN-ZP))
 (1300 1300 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1216 1216 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (1189 46 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1185 769 (:REWRITE DEFAULT-<-1))
 (1108 204 (:REWRITE ZP-OPEN))
 (1052 108 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (989 115 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (987 63 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (984 984 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (977 132 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (972 324 (:REWRITE DEFAULT-+-2))
 (962 74 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (907 769 (:REWRITE DEFAULT-<-2))
 (821 81 (:REWRITE MEMBER-WHEN-ATOM))
 (780 780 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (661 46 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (658 650 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (634 14 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (624 7 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (548 94 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (547 21 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (529 487 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (499 499 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (499 499 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (499 157 (:DEFINITION NATP))
 (487 487 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (487 487 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (487 487 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (487 487 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (483 21 (:DEFINITION LENGTH))
 (467 467 (:TYPE-PRESCRIPTION NATP))
 (463 463 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (459 7 (:REWRITE CONSP-OF-APPEND))
 (432 302 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (417 7 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (416 8 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 1))
 (385 7 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (365 365 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (324 324 (:REWRITE DEFAULT-+-1))
 (322 92 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (312 104 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (310 310 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (302 302 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (294 294 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (294 126 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (288 288 (:LINEAR LEN-WHEN-PREFIXP))
 (277 277 (:TYPE-PRESCRIPTION PREFIXP))
 (219 219 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (219 219 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (208 208 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (168 168 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (168 126 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (155 155 (:REWRITE SUBSETP-MEMBER . 2))
 (155 155 (:REWRITE SUBSETP-MEMBER . 1))
 (139 139 (:REWRITE ABS-FILE->D-E$INLINE-OF-ABS-FILE-FIX-X))
 (117 117 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (112 100 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (109 7 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (104 104 (:TYPE-PRESCRIPTION D-E-P))
 (104 104 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (102 7 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (100 100 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (100 100 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (100 100 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (100 100 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (100 100 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (98 7 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (96 96 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (96 96 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (96 96 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (84 84 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (81 81 (:REWRITE SUBSETP-MEMBER . 4))
 (81 81 (:REWRITE SUBSETP-MEMBER . 3))
 (81 81 (:REWRITE INTERSECTP-MEMBER . 3))
 (81 81 (:REWRITE INTERSECTP-MEMBER . 2))
 (77 7 (:REWRITE SUBSETP-CAR-MEMBER))
 (74 74 (:TYPE-PRESCRIPTION NFIX))
 (72 7 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (63 14 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (56 7 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX))
 (56 7 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (56 7 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (35 35 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (35 7 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (32 8 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (30 30 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (28 28 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (28 28 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (28 7 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (20 20 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (16 16 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (14 14 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (14 7 (:REWRITE SET-EQUIV-ASYM))
 (14 7 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (8 4 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (7 7 (:TYPE-PRESCRIPTION SET-EQUIV))
 (7 7 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (7 7 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (4 4 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 )
(ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-11
 (1252 308 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (390 7 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (263 20 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (252 2 (:REWRITE FIND-NEW-INDEX-CORRECTNESS-1))
 (245 10 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (241 28 (:DEFINITION ASSOC-EQUAL))
 (219 11 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (215 96 (:REWRITE DEFAULT-CDR))
 (215 11 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (210 3 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (191 18 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (183 9 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (181 9 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (178 30 (:DEFINITION STRIP-CARS))
 (166 2 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (163 4 (:REWRITE LEN-OF-DIRNAME))
 (163 3 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (152 147 (:REWRITE DEFAULT-CAR))
 (142 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (120 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (116 2 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (90 6 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (89 9 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (72 2 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 1))
 (64 16 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (60 10 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-1 . 1))
 (60 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (58 16 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (58 1 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (57 1 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (56 56 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (56 21 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (54 6 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (52 4 (:DEFINITION NFIX))
 (51 10 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (51 1 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (48 2 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (40 40 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (39 5 (:REWRITE NFIX-WHEN-ZP))
 (37 23 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (35 4 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (33 11 (:REWRITE DEFAULT-<-2))
 (30 3 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (30 2 (:DEFINITION NATP))
 (28 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (27 11 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (26 3 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (26 2 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (26 1 (:REWRITE ZP-OPEN))
 (25 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (24 24 (:TYPE-PRESCRIPTION STRIP-CARS))
 (24 8 (:REWRITE DEFAULT-+-2))
 (24 4 (:DEFINITION LEN))
 (23 23 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (22 11 (:REWRITE CONSP-OF-DIRNAME))
 (22 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (21 11 (:REWRITE DEFAULT-<-1))
 (19 7 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (18 18 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (18 2 (:REWRITE MEMBER-WHEN-ATOM))
 (16 16 (:REWRITE SUBSETP-TRANS2))
 (16 16 (:REWRITE SUBSETP-TRANS))
 (15 7 (:REWRITE CONSP-OF-STRIP-CARS))
 (15 5 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (15 3 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (14 3 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (13 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (13 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-32))
 (12 12 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (12 2 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (11 11 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (11 1 (:REWRITE SUBSETP-CAR-MEMBER))
 (10 10 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (10 10 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (10 5 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (9 9 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (9 9 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (8 8 (:REWRITE DEFAULT-+-1))
 (8 2 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (7 7 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (7 7 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (7 7 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (7 7 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (5 1 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (5 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (5 1 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (5 1 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (5 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (4 4 (:REWRITE SUBSETP-MEMBER . 2))
 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (4 4 (:LINEAR LEN-WHEN-PREFIXP))
 (4 4 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4 2 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (4 1 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (3 3 (:REWRITE SUBSETP-MEMBER . 4))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 3))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 2))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2 2 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (2 1 (:REWRITE SET-EQUIV-ASYM))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:REWRITE SUBSETP-OF-CDR))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-10
 (2736 684 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (94 4 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (85 5 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (76 4 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (74 8 (:DEFINITION ASSOC-EQUAL))
 (68 2 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (68 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (56 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (36 36 (:REWRITE DEFAULT-CAR))
 (36 6 (:DEFINITION STRIP-CARS))
 (28 4 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (26 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (18 12 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (16 16 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (12 12 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (12 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (10 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (8 8 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (6 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (4 4 (:REWRITE ABS-FS-P-OF-ABS-ALLOC-1))
 (4 2 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (4 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-PARTIAL-COLLAPSE))
 (1 1 (:REWRITE FRAME-P-OF-PARTIAL-COLLAPSE))
 )
(ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-13
 (3902 930 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2849 193 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (2661 46 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (1980 9 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (1675 212 (:DEFINITION ASSOC-EQUAL))
 (1479 121 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1332 8 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 1))
 (1329 3 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (1281 36 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1185 616 (:REWRITE DEFAULT-CDR))
 (1152 194 (:DEFINITION STRIP-CARS))
 (1077 3 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (1048 1030 (:REWRITE DEFAULT-CAR))
 (782 23 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (660 30 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (594 3 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (524 27 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (519 12 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (479 112 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (459 3 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (455 22 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (448 122 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (438 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (424 424 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (399 22 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (392 112 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (312 6 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (225 25 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (216 8 (:REWRITE CTX-APP-OK-OF-CTX-APP-LIST-SEQ-LEMMA-1))
 (210 14 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (195 62 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (168 6 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (150 6 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (136 8 (:REWRITE VALID-SEQP-WHEN-PREFIXP))
 (126 18 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (123 123 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (122 122 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (114 50 (:REWRITE CONSP-OF-STRIP-CARS))
 (114 14 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (113 113 (:REWRITE SUBSETP-TRANS))
 (109 7 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (104 40 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (102 21 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (101 36 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (90 15 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (90 8 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (84 3 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (81 81 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (81 22 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (72 12 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (66 6 (:REWRITE SUBSETP-CAR-MEMBER))
 (63 9 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (63 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (58 58 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (57 19 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (56 40 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (56 16 (:TYPE-PRESCRIPTION FINAL-VAL-SEQ-OF-COLLAPSE-THIS-LEMMA-7))
 (54 54 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (51 9 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (50 50 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (50 50 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (50 50 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (50 50 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (50 25 (:REWRITE CONSP-OF-DIRNAME))
 (45 45 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (45 9 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (42 42 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (42 15 (:TYPE-PRESCRIPTION PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-19))
 (42 6 (:DEFINITION NATP))
 (42 3 (:REWRITE ZP-OPEN))
 (40 40 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (38 38 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (38 19 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (36 12 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (30 15 (:REWRITE SET-EQUIV-ASYM))
 (30 6 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (27 1 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (25 25 (:TYPE-PRESCRIPTION ABS-FS-P))
 (24 24 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (24 24 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (24 12 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (24 6 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (24 6 (:REWRITE MEMBER-WHEN-ATOM))
 (23 23 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (21 9 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (18 18 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (18 18 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (18 18 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (18 12 (:REWRITE DEFAULT-<-2))
 (18 8 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (16 16 (:TYPE-PRESCRIPTION VALID-SEQP))
 (16 16 (:TYPE-PRESCRIPTION SET-EQUIV))
 (15 15 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (15 15 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (15 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (12 12 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (12 12 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (12 12 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE DEFAULT-<-1))
 (12 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (9 9 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (9 9 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (9 9 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (9 3 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (8 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6 6 (:REWRITE SUBSETP-OF-CDR))
 (6 6 (:REWRITE SUBSETP-MEMBER . 4))
 (6 6 (:REWRITE SUBSETP-MEMBER . 3))
 (6 6 (:REWRITE SUBSETP-MEMBER . 2))
 (6 6 (:REWRITE SUBSETP-MEMBER . 1))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 3))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 2))
 (6 6 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-15))
 (3 3 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 )
(ABS-FIND-FILE-AFTER-ABS-MKDIR-1
 (833180 216 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (698898 5400 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (683410 7056 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (672642 9432 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (646222 5400 (:REWRITE LEN-WHEN-PREFIXP))
 (562215 2988 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (520280 40 (:LINEAR PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9))
 (507340 9432 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (446449 36 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-LEMMA-2))
 (390944 5400 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (279763 4894 (:REWRITE NFIX-WHEN-ZP))
 (276590 15556 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (223788 80 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (181042 14688 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (110026 151 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (109830 32042 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (105829 50 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (78051 2 (:REWRITE EQUAL-OF-FRAME-VAL))
 (42701 14574 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (36123 14341 (:REWRITE DEFAULT-<-2))
 (32042 32042 (:LINEAR LEN-WHEN-PREFIXP))
 (28435 14341 (:REWRITE DEFAULT-<-1))
 (25965 2 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (16448 16448 (:REWRITE SUBSETP-TRANS2))
 (16448 16448 (:REWRITE SUBSETP-TRANS))
 (16108 14574 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (15408 7704 (:REWRITE SET-EQUIV-ASYM))
 (13536 13536 (:REWRITE SUBSETP-OF-CDR))
 (13245 9432 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (10761 7056 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (10113 7056 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (9792 9432 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (9030 4464 (:REWRITE DEFAULT-+-2))
 (8610 2225 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (7704 7704 (:TYPE-PRESCRIPTION SET-EQUIV))
 (7243 113 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (7067 7067 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (7067 7067 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (7067 7067 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (7067 7067 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (6394 212 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (6196 4466 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (4900 3926 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (4486 4464 (:REWRITE DEFAULT-+-1))
 (4080 23 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (3816 169 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (3551 157 (:DEFINITION NATP))
 (3243 206 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (2964 228 (:DEFINITION NFIX))
 (2952 2952 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (2368 400 (:DEFINITION STRIP-CARS))
 (2011 72 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (2006 206 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (1944 648 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (1910 1910 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (1900 380 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (1872 1872 (:REWRITE SUBSETP-REFL))
 (1716 1698 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1338 200 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1253 49 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (1201 163 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1061 25 (:DEFINITION PUT-ASSOC-EQUAL))
 (902 245 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (864 432 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (844 134 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (790 790 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (775 52 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (747 4 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (735 49 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (656 656 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (648 648 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (556 6 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (501 6 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (471 471 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (446 446 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (446 212 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (436 224 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (432 432 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (408 2 (:REWRITE PREFIXP-OF-APPEND-ARG1))
 (407 407 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (404 101 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (373 373 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (373 373 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (360 6 (:REWRITE EQUAL-OF-ABS-FILE))
 (352 352 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (343 10 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (298 298 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (253 82 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (242 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-32))
 (240 240 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (224 224 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (224 4 (:LINEAR ABS-MKDIR-CORRECTNESS-LEMMA-9))
 (202 202 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (200 200 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (200 200 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (200 200 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (200 200 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (178 178 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (172 172 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (160 40 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (152 152 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (132 6 (:REWRITE LEN-OF-APPEND))
 (132 6 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (89 12 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (84 6 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (80 80 (:REWRITE CAR-OF-NTHCDR))
 (80 8 (:REWRITE ASSOCIATIVITY-OF-+))
 (79 12 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (73 13 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (70 7 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (66 6 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (60 15 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (60 6 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (56 2 (:DEFINITION TAKE))
 (56 1 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 1))
 (49 7 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (48 6 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (48 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (42 12 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (40 40 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (31 1 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 1))
 (30 30 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (30 6 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (28 7 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (27 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (26 26 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (24 6 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (22 22 (:TYPE-PRESCRIPTION FRAME-VAL))
 (20 14 (:REWRITE FOLD-CONSTS-IN-+))
 (20 13 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (18 18 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (18 18 (:TYPE-PRESCRIPTION ABS-FILE))
 (18 6 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (18 6 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (18 6 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (15 15 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (15 3 (:REWRITE MEMBER-WHEN-ATOM))
 (15 3 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (14 14 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (14 14 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (14 14 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (11 5 (:REWRITE CONSP-OF-STRIP-CARS))
 (10 10 (:TYPE-PRESCRIPTION STRIP-CARS))
 (10 10 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (10 5 (:REWRITE ABS-SEPARATE-OF-PARTIAL-COLLAPSE-LEMMA-2))
 (8 8 (:TYPE-PRESCRIPTION TAKE))
 (8 8 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (7 7 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (6 6 (:TYPE-PRESCRIPTION D-E-P))
 (6 6 (:REWRITE SUBSETP-MEMBER . 2))
 (6 6 (:REWRITE SUBSETP-MEMBER . 1))
 (6 6 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (6 6 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (6 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (6 4 (:REWRITE DEFAULT-UNARY-MINUS))
 (5 5 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (4 4 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (3 3 (:REWRITE SUBSETP-MEMBER . 4))
 (3 3 (:REWRITE SUBSETP-MEMBER . 3))
 (3 3 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 3))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 2))
 (2 2 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-73
 (17110 548 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (11484 240 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (10955 318 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (10679 794 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (5584 252 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (5226 46 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (3955 7 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-47 . 2))
 (3915 12 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (3689 234 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (3671 13 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (3368 49 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (3303 2 (:REWRITE NAMES-AT-OF-ABS-ALLOC-LEMMA-1))
 (3084 93 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (2595 628 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2109 90 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (2068 447 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (2006 244 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1982 820 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1814 264 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1378 136 (:DEFINITION ASSOC-EQUAL))
 (1276 264 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1210 213 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1083 90 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1023 275 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (926 926 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (909 548 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (899 64 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (856 160 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (855 64 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (852 92 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (830 13 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (820 820 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (810 810 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (808 13 (:REWRITE EQUAL-OF-ABS-FILE))
 (768 146 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (738 262 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (733 51 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (713 234 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (710 142 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (668 668 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (619 13 (:DEFINITION PUT-ASSOC-EQUAL))
 (616 77 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (559 13 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (550 550 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (539 539 (:REWRITE DEFAULT-CAR))
 (489 489 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (456 76 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (452 452 (:REWRITE DEFAULT-CDR))
 (375 52 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (335 29 (:REWRITE NFIX-WHEN-ZP))
 (298 298 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (280 280 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (262 262 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (249 249 (:TYPE-PRESCRIPTION NFIX))
 (208 13 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (178 90 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (167 167 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (152 152 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (143 13 (:REWRITE MEMBER-WHEN-ATOM))
 (142 142 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (142 142 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (128 128 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (128 128 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (105 7 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (104 2 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 1))
 (102 102 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (100 61 (:REWRITE DEFAULT-<-2))
 (94 29 (:REWRITE NFIX-WHEN-NATP))
 (79 79 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (79 79 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (77 77 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (77 77 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (76 76 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (75 25 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (74 74 (:TYPE-PRESCRIPTION NATP))
 (66 22 (:DEFINITION NATP))
 (61 61 (:REWRITE DEFAULT-<-1))
 (58 14 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (52 52 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (46 46 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (45 45 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (45 45 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (45 45 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (45 45 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (45 45 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (43 43 (:TYPE-PRESCRIPTION ABS-FILE))
 (39 13 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (34 34 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (32 32 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (26 26 (:REWRITE SUBSETP-MEMBER . 2))
 (26 26 (:REWRITE SUBSETP-MEMBER . 1))
 (25 25 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (24 24 (:REWRITE ABS-FS-P-OF-ABS-ALLOC-1))
 (22 22 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (15 15 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (13 13 (:TYPE-PRESCRIPTION D-E-P))
 (13 13 (:REWRITE SUBSETP-MEMBER . 4))
 (13 13 (:REWRITE SUBSETP-MEMBER . 3))
 (13 13 (:REWRITE INTERSECTP-MEMBER . 3))
 (13 13 (:REWRITE INTERSECTP-MEMBER . 2))
 (13 13 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-2
 (5932 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (5912 44 (:REWRITE LEN-WHEN-PREFIXP))
 (5438 46 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (3456 43 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3426 51 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1954 246 (:DEFINITION LEN))
 (1848 25 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (1732 433 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1707 440 (:REWRITE DEFAULT-CDR))
 (1276 75 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (1271 41 (:LINEAR PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9))
 (1181 60 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (1116 222 (:LINEAR LEN-WHEN-PREFIXP))
 (1048 218 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (742 250 (:REWRITE DEFAULT-+-2))
 (720 46 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (531 119 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (528 2 (:DEFINITION NTHCDR))
 (516 3 (:REWRITE ABS-FIND-FILE-SRC-CORRECTNESS-1))
 (508 11 (:REWRITE ZP-OPEN))
 (475 64 (:DEFINITION ASSOC-EQUAL))
 (470 43 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (445 5 (:REWRITE NFIX-WHEN-ZP))
 (286 59 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (272 257 (:REWRITE DEFAULT-CAR))
 (250 250 (:REWRITE DEFAULT-+-1))
 (224 112 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (208 47 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (182 63 (:REWRITE DEFAULT-<-2))
 (165 9 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (150 10 (:DEFINITION TRUE-LISTP))
 (149 63 (:REWRITE DEFAULT-<-1))
 (143 1 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (140 5 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (133 13 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9 . 2))
 (132 1 (:REWRITE CONSP-OF-NTHCDR))
 (129 129 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (128 128 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (125 5 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (98 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (95 20 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (92 11 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (91 13 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (88 61 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (86 8 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (85 10 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (83 1 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (77 44 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (77 44 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (72 6 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (70 5 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (69 69 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (66 6 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (65 59 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (62 9 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (61 61 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (61 61 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (61 61 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (57 36 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (57 36 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (55 5 (:REWRITE SUBSETP-CAR-MEMBER))
 (55 5 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (52 52 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (50 50 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (50 20 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (49 49 (:REWRITE SUBSETP-TRANS2))
 (49 49 (:REWRITE SUBSETP-TRANS))
 (47 2 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (45 7 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-NOT-ZP-SRC-LEMMA-2))
 (37 7 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9 . 1))
 (35 5 (:DEFINITION NATP))
 (32 16 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (30 30 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (30 30 (:TYPE-PRESCRIPTION D-E-P))
 (30 15 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (29 2 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (26 11 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (25 5 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (24 24 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (24 24 (:REWRITE CONSP-OF-LIST-FIX))
 (20 20 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (20 12 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (20 5 (:REWRITE MEMBER-WHEN-ATOM))
 (20 5 (:DEFINITION STRIP-CARS))
 (19 2 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (17 11 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (17 7 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (16 16 (:TYPE-PRESCRIPTION ABS-FS-P))
 (15 15 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (15 15 (:REWRITE SET::IN-SET))
 (14 14 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (14 11 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (14 5 (:REWRITE NFIX-WHEN-NATP))
 (13 7 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (12 12 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (12 11 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (11 11 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (11 11 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (11 11 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (10 10 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (10 10 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (10 5 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (10 5 (:REWRITE SET-EQUIV-ASYM))
 (10 5 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (10 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (10 2 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (9 3 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (8 8 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (7 7 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (6 6 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (5 5 (:TYPE-PRESCRIPTION SET-EQUIV))
 (5 5 (:REWRITE SUBSETP-OF-CDR))
 (5 5 (:REWRITE SUBSETP-MEMBER . 4))
 (5 5 (:REWRITE SUBSETP-MEMBER . 3))
 (5 5 (:REWRITE SUBSETP-MEMBER . 2))
 (5 5 (:REWRITE SUBSETP-MEMBER . 1))
 (5 5 (:REWRITE INTERSECTP-MEMBER . 3))
 (5 5 (:REWRITE INTERSECTP-MEMBER . 2))
 (5 5 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (5 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (4 4 (:TYPE-PRESCRIPTION NFIX))
 (4 4 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (4 4 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (3 3 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (3 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3 1 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (3 1 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE PREFIXP-REFLEXIVE))
 (2 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-4
 (70844 2194 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (55380 821 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (45562 670 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (40546 738 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (35803 2297 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (34159 423 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (29582 244 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (22540 814 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (18437 256 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (16683 814 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (15553 481 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (14584 197 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (13280 40 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (12958 3195 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (12099 928 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (11309 699 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (10015 333 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (8378 361 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (8211 21 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (7823 1546 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (7654 1038 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (6609 928 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (5746 2196 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (4577 197 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (4564 1038 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (4549 361 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (4452 1928 (:REWRITE DEFAULT-CDR))
 (4240 4240 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (4084 197 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (3824 1394 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (3673 416 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (3601 2462 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (3471 983 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (3442 2194 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3269 27 (:REWRITE REMOVE-WHEN-ABSENT))
 (2749 622 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (2580 732 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2540 2540 (:TYPE-PRESCRIPTION M1-FILE-P))
 (2459 2378 (:REWRITE DEFAULT-CAR))
 (2309 197 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (2196 2196 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (2119 532 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2076 2076 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2071 427 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1805 1805 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1718 197 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (1622 125 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (1608 1608 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (1394 1394 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1394 1394 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1189 10 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1187 14 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (1131 416 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (1098 183 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1064 1064 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1033 10 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1004 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT))
 (885 75 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (728 9 (:DEFINITION REMOVE-EQUAL))
 (722 361 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (651 651 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (640 10 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (619 619 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (430 430 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (427 427 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (416 416 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (411 411 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (394 394 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (385 53 (:REWRITE SUBSETP-MEMBER . 3))
 (383 383 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (383 383 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (383 383 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (365 27 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (361 361 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (361 361 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (357 50 (:REWRITE MEMBER-WHEN-ATOM))
 (348 32 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (307 10 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (304 304 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (304 304 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (300 300 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (300 75 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (291 215 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (286 286 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (277 10 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (272 272 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (241 233 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (229 63 (:REWRITE SUBSETP-MEMBER . 1))
 (225 57 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (216 12 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (216 12 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (212 212 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (166 10 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (129 76 (:REWRITE CONSP-OF-STRIP-CARS))
 (121 27 (:DEFINITION NATP))
 (118 21 (:DEFINITION STRIP-CARS))
 (111 111 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (110 110 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (110 10 (:REWRITE SUBSETP-CAR-MEMBER))
 (96 9 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (73 65 (:REWRITE DEFAULT-<-2))
 (70 70 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (65 65 (:REWRITE DEFAULT-<-1))
 (63 63 (:REWRITE SUBSETP-MEMBER . 2))
 (53 53 (:REWRITE SUBSETP-MEMBER . 4))
 (53 53 (:REWRITE INTERSECTP-MEMBER . 3))
 (53 53 (:REWRITE INTERSECTP-MEMBER . 2))
 (50 50 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (30 9 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (26 26 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (20 20 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (20 20 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (20 10 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (20 10 (:REWRITE SET-EQUIV-ASYM))
 (18 18 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE SUBSETP-TRANS2))
 (12 12 (:REWRITE SUBSETP-TRANS))
 (10 10 (:TYPE-PRESCRIPTION SET-EQUIV))
 (10 10 (:REWRITE SUBSETP-OF-CDR))
 (9 9 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (9 9 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-79))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-50)
(ABS-MKDIR-CORRECTNESS-LEMMA-99
 (240 60 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (120 60 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (72 72 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (60 60 (:TYPE-PRESCRIPTION FRAME-P))
 (46 6 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (36 4 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (32 4 (:DEFINITION ASSOC-EQUAL))
 (28 6 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (14 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (12 12 (:REWRITE DEFAULT-CAR))
 (8 8 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (8 8 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (8 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (6 6 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 4 (:REWRITE DEFAULT-CDR))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (2 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-102
 (28 6 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (26 4 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (23 3 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (10 10 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (10 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (8 2 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (3 3 (:TYPE-PRESCRIPTION M1-FILE-P))
 (3 3 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (2 2 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (1 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-33
 (684 171 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (313 14 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (308 5 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (295 3 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (251 16 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (243 47 (:REWRITE DEFAULT-CDR))
 (191 171 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (180 180 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (168 15 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (162 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (162 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-8))
 (142 10 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (130 22 (:DEFINITION STRIP-CARS))
 (120 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (115 10 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (110 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (106 2 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-6))
 (96 33 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (88 21 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (88 4 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (80 10 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-12))
 (78 2 (:REWRITE ABS-SEPARATE-OF-FRAME-WITH-ROOT))
 (75 72 (:REWRITE DEFAULT-CAR))
 (73 9 (:DEFINITION ASSOC-EQUAL))
 (51 1 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (48 48 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (45 10 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (39 10 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (35 14 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (35 5 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (33 33 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (33 5 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (32 2 (:REWRITE ABS-SEPARATE-OF-PARTIAL-COLLAPSE))
 (31 8 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (28 2 (:REWRITE ZP-OPEN))
 (28 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (27 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (26 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (26 1 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (25 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (24 24 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE))
 (24 24 (:TYPE-PRESCRIPTION DIRNAME))
 (24 24 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (23 23 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (20 20 (:TYPE-PRESCRIPTION STRIP-CARS))
 (20 8 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (19 3 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (18 18 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (18 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (17 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (16 16 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (16 16 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (16 4 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (15 3 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (15 2 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (15 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (14 7 (:REWRITE CONSP-OF-DIRNAME))
 (14 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (11 11 (:REWRITE SUBSETP-TRANS))
 (11 1 (:REWRITE SUBSETP-CAR-MEMBER))
 (11 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (10 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (9 9 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (9 9 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (9 9 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (9 9 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (9 9 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (9 9 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (9 5 (:REWRITE DEFAULT-<-2))
 (9 5 (:REWRITE CONSP-OF-STRIP-CARS))
 (8 8 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (7 1 (:DEFINITION NATP))
 (6 6 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (6 1 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (5 5 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (5 5 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (5 5 (:REWRITE DEFAULT-<-1))
 (5 5 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (5 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (4 4 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-6))
 (4 4 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (4 4 (:REWRITE ABS-FILE-ALIST-P-OF-COLLAPSE))
 (4 1 (:REWRITE MEMBER-WHEN-ATOM))
 (3 3 (:REWRITE FRAME-P-OF-PARTIAL-COLLAPSE))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (2 2 (:TYPE-PRESCRIPTION SET-EQUIV))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (2 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (2 2 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (2 1 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (2 1 (:REWRITE SET-EQUIV-ASYM))
 (2 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1 1 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1 1 (:REWRITE SUBSETP-OF-CDR))
 (1 1 (:REWRITE SUBSETP-MEMBER . 4))
 (1 1 (:REWRITE SUBSETP-MEMBER . 3))
 (1 1 (:REWRITE SUBSETP-MEMBER . 2))
 (1 1 (:REWRITE SUBSETP-MEMBER . 1))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (1 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (1 1 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-44
 (24 24 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-35
 (23 2 (:REWRITE NFIX-WHEN-ZP))
 (18 1 (:REWRITE ZP-OPEN))
 (14 14 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (12 2 (:DEFINITION LEN))
 (10 4 (:REWRITE DEFAULT-+-2))
 (8 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (8 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (4 4 (:REWRITE DEFAULT-CDR))
 (4 4 (:REWRITE DEFAULT-+-1))
 (4 2 (:REWRITE DEFAULT-<-2))
 (4 2 (:REWRITE CONSP-OF-DIRNAME))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1 1 (:TYPE-PRESCRIPTION ZP))
 (1 1 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1 1 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1 1 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1 1 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (1 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 )
(LEMMA
 (27228 979 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (14033 391 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (13820 150 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (12482 503 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (11800 2950 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (9638 141 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (9553 20 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (9507 514 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (8916 9 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-11))
 (7370 542 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (7127 756 (:DEFINITION ASSOC-EQUAL))
 (6891 129 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (6747 163 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 1))
 (5974 1014 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (4852 360 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (4462 4462 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (4397 387 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (4261 187 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (3773 565 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (3085 542 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (2911 1416 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2626 2626 (:REWRITE DEFAULT-CAR))
 (2568 442 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (2344 1629 (:REWRITE DEFAULT-CDR))
 (2203 129 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (2105 421 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1925 1880 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1876 116 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (1867 129 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (1800 1800 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1788 358 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (1680 336 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1538 472 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1512 1512 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1508 442 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1480 129 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (1464 1464 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1416 1416 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1311 21 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (1261 1261 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1042 979 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1000 130 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (972 162 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (884 884 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (858 143 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (633 633 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (506 21 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (437 437 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (418 418 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (336 336 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (336 336 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (323 323 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (294 21 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (290 290 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (286 286 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (258 258 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (251 251 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (187 187 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (187 187 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (176 176 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (176 176 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (152 152 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (143 143 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (133 133 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (132 48 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (91 67 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (48 48 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (45 45 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (42 42 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (42 42 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (32 4 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (21 21 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (16 16 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (12 4 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (9 9 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (9 9 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-128)
(HIFAT-EQUIV-OF-PUT-ASSOC-LEMMA-1
 (11992 932 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (9630 248 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (7421 3321 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (7000 140 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (6251 144 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (5860 174 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (5827 185 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (4320 325 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (3852 119 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (3359 80 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (3336 90 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (2791 30 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (2601 121 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2105 63 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2090 649 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (2056 427 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (1972 83 (:REWRITE SUBSETP-CAR-MEMBER))
 (1918 201 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (1877 1877 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (1695 760 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1670 1272 (:REWRITE DEFAULT-CDR))
 (1201 213 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1155 103 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (1022 36 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (995 64 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (957 257 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (821 103 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (785 3 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (674 674 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (619 103 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (547 194 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (545 65 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (524 524 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (439 204 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (388 388 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (387 387 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (387 387 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (353 353 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (348 87 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (337 337 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (329 204 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (317 80 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (310 103 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (310 103 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (303 18 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (267 36 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (245 194 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (227 227 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (224 224 (:TYPE-PRESCRIPTION NATP))
 (211 211 (:REWRITE SUBSETP-TRANS2))
 (211 211 (:REWRITE SUBSETP-TRANS))
 (206 206 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (195 65 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (182 46 (:DEFINITION NATP))
 (158 158 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (158 1 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (144 24 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (140 1 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (113 68 (:REWRITE MEMBER-WHEN-ATOM))
 (104 104 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (101 38 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (95 95 (:REWRITE SUBSETP-MEMBER . 2))
 (83 1 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (75 75 (:REWRITE SUBSETP-MEMBER . 4))
 (75 75 (:REWRITE INTERSECTP-MEMBER . 3))
 (75 75 (:REWRITE INTERSECTP-MEMBER . 2))
 (75 1 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (66 1 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (65 65 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (61 1 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (48 48 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (48 6 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (46 46 (:REWRITE DEFAULT-<-2))
 (46 46 (:REWRITE DEFAULT-<-1))
 (42 1 (:REWRITE SUBSETP-OF-CONS))
 (25 2 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (24 24 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (18 18 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (15 15 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (15 15 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (14 11 (:DEFINITION NULL))
 (11 11 (:TYPE-PRESCRIPTION NULL))
 (6 2 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE->CONTENTS-OF-HIFAT-FIND-FILE-LEMMA-1))
 (5 1 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-3))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 )
(HIFAT-EQUIV-OF-PUT-ASSOC-2
 (380 95 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (228 2 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (216 28 (:DEFINITION ASSOC-EQUAL))
 (192 2 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (190 95 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (186 6 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (157 4 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (148 14 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (140 2 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (106 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (96 96 (:REWRITE DEFAULT-CAR))
 (96 14 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (95 95 (:TYPE-PRESCRIPTION ZP))
 (95 95 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (95 95 (:TYPE-PRESCRIPTION LEN))
 (95 95 (:TYPE-PRESCRIPTION FRAME-P))
 (90 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (90 2 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (87 22 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (86 42 (:REWRITE DEFAULT-CDR))
 (76 2 (:DEFINITION PUT-ASSOC-EQUAL))
 (74 6 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (70 2 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (64 64 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (64 6 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (48 2 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (47 14 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (36 36 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (30 2 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (26 26 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (26 8 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (22 22 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (22 22 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (20 20 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (18 5 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (16 16 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (16 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (16 4 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (15 15 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (15 3 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (14 2 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (13 5 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (12 6 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (10 2 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (8 8 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (8 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (8 2 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (8 2 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (8 2 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (6 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (6 4 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (4 2 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (2 2 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (2 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (2 2 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (2 2 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1 1 (:TYPE-PRESCRIPTION NULL))
 (1 1 (:DEFINITION NULL))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-30
 (52976 1623 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (33301 657 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (32159 831 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (26882 2212 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (18682 635 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (15485 57 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (14216 129 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (11967 156 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (11279 654 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (10523 31 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (9689 260 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (9601 2241 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (7427 2877 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (6733 281 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (6506 680 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (5985 1320 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (5644 800 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (4927 666 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3902 57 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (3808 373 (:DEFINITION ASSOC-EQUAL))
 (3807 800 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (3422 281 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (3203 200 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (3100 376 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3059 3059 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (3040 832 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2972 1621 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2877 2877 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (2678 509 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (2545 869 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2544 200 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (2472 36 (:REWRITE EQUAL-OF-ABS-FILE))
 (2207 247 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (2204 2204 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2053 654 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (2026 159 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (1988 259 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (1850 1850 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1770 354 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1742 36 (:DEFINITION PUT-ASSOC-EQUAL))
 (1667 228 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (1666 1666 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1652 34 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (1474 1474 (:REWRITE DEFAULT-CAR))
 (1353 1353 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1283 1283 (:REWRITE DEFAULT-CDR))
 (1176 196 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (869 869 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (818 818 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (758 57 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (740 740 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (693 41 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (667 57 (:REWRITE MEMBER-WHEN-ATOM))
 (561 281 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (529 529 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (451 253 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (392 392 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (376 376 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (376 376 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (354 354 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (354 354 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (324 63 (:REWRITE NFIX-WHEN-ZP))
 (318 318 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (271 271 (:TYPE-PRESCRIPTION NATP))
 (259 259 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (228 228 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (220 220 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (220 220 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (196 196 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (174 58 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (135 135 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (135 135 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (135 135 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (135 135 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (135 135 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (132 123 (:REWRITE DEFAULT-<-2))
 (129 43 (:DEFINITION NATP))
 (127 123 (:REWRITE DEFAULT-<-1))
 (122 122 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (114 114 (:REWRITE SUBSETP-MEMBER . 2))
 (114 114 (:REWRITE SUBSETP-MEMBER . 1))
 (108 108 (:TYPE-PRESCRIPTION ABS-FILE))
 (108 36 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (99 99 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (67 67 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-79))
 (66 66 (:REWRITE ABS-FS-P-OF-ABS-ALLOC-1))
 (58 58 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (57 57 (:TYPE-PRESCRIPTION NFIX))
 (57 57 (:REWRITE SUBSETP-MEMBER . 4))
 (57 57 (:REWRITE SUBSETP-MEMBER . 3))
 (57 57 (:REWRITE INTERSECTP-MEMBER . 3))
 (57 57 (:REWRITE INTERSECTP-MEMBER . 2))
 (53 53 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (36 36 (:TYPE-PRESCRIPTION D-E-P))
 (36 36 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (28 28 (:TYPE-PRESCRIPTION ATOM))
 (12 12 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (4 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3 3 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (2 2 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-33
 (127036 2315 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (118685 3943 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (56797 1335 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (39564 1248 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (21512 1157 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (21184 490 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (19985 2713 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (18739 1004 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (18294 869 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (15090 3949 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (13068 827 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (12861 1304 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (12066 506 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (10334 4806 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (9936 1332 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (9615 1248 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (9248 3949 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (8823 188 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (7759 7678 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (7696 1646 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (7268 219 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (7153 1646 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (5532 502 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (4944 5 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (4806 4806 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (4768 2160 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (4673 1332 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (4326 1754 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (4249 4249 (:TYPE-PRESCRIPTION M1-FILE-P))
 (4214 188 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (4194 204 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (4108 4108 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (4077 3938 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3651 827 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (3310 662 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (3092 3079 (:REWRITE DEFAULT-CAR))
 (2993 970 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2726 2726 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (2665 2665 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2516 827 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (2136 72 (:REWRITE CONSP-OF-APPEND))
 (2113 255 (:REWRITE NFIX-WHEN-ZP))
 (2071 827 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (2011 635 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1941 1941 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1756 44 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (1754 1754 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1603 255 (:REWRITE ZP-OPEN))
 (1542 1542 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1348 255 (:REWRITE NFIX-WHEN-NATP))
 (1315 58 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (1031 329 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (1021 1021 (:REWRITE DEFAULT-<-2))
 (1021 1021 (:REWRITE DEFAULT-<-1))
 (883 883 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (838 255 (:DEFINITION NATP))
 (658 658 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (560 80 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (515 100 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (473 473 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (473 473 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (449 449 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (444 148 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (432 102 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (418 418 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (363 44 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (305 305 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (270 270 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (255 255 (:TYPE-PRESCRIPTION NATP))
 (224 224 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (212 56 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (132 132 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (100 100 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (80 80 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (80 80 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (66 66 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (24 8 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (16 16 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (16 16 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-18
 (1048510 20494 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (723821 9779 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (498124 5730 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (288414 6149 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (251223 4507 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (218700 13151 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (212071 1659 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (206516 9240 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (201470 4507 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (171872 4934 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (161726 8958 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (149904 1717 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (130291 4755 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (124977 858 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (79811 2352 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (69351 13573 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (67863 280 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (67693 395 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (67652 67605 (:REWRITE DEFAULT-CAR))
 (66233 87 (:REWRITE SUBSETP-CAR-MEMBER))
 (65732 13573 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (63507 92 (:REWRITE ABS-ADDRS-WHEN-ABSFAT-EQUIV-LEMMA-1))
 (59898 23030 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (56219 12808 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (52987 27757 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (39821 474 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (38645 3970 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (37106 2092 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (37099 37099 (:TYPE-PRESCRIPTION M1-FILE-P))
 (35341 5 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (34235 16998 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (29175 3234 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (28033 10045 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (26078 26078 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (24594 7212 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (24471 625 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (21597 8865 (:REWRITE DEFAULT-<-1))
 (20751 20489 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (20090 20090 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (19676 4542 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (19583 3652 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (17059 83 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (15354 15354 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (14504 1813 (:DEFINITION LEN))
 (13472 13472 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (12863 12863 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (12808 12808 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (12730 3265 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (12157 2352 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (11588 11588 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (11477 3230 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (11471 1367 (:REWRITE NFIX-WHEN-ZP))
 (9760 9760 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (8933 1 (:REWRITE INTERSECT-EQUAL-OF-CONS-LEFT))
 (8918 1855 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (8865 8865 (:REWRITE DEFAULT-<-2))
 (8749 289 (:REWRITE CONSP-OF-APPEND))
 (8645 1366 (:REWRITE ZP-OPEN))
 (8546 1630 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (7726 7726 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (6497 1351 (:DEFINITION NFIX))
 (6248 2080 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (6133 1836 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (5794 5794 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (5439 1813 (:REWRITE DEFAULT-+-2))
 (5213 5213 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4880 4880 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (4392 178 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (3987 312 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE-ASSOC))
 (3970 3970 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (3813 3813 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (3708 3708 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (3672 3672 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (3656 162 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (3618 842 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (3607 994 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (2444 2444 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (2442 329 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (2008 289 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (1980 1980 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (1813 1813 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (1813 1813 (:REWRITE DEFAULT-+-1))
 (1323 63 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (1323 63 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (1323 63 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (1088 96 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-10))
 (945 126 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (945 126 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (945 126 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (945 63 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (884 106 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (851 81 (:REWRITE MEMBER-WHEN-ATOM))
 (842 842 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (838 24 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (728 162 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (693 126 (:REWRITE DIR-STREAM-TABLE-P-OF-CDR-WHEN-DIR-STREAM-TABLE-P))
 (572 106 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (386 24 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE-LEMMA-2))
 (378 378 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (378 378 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (378 378 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (333 7 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (320 80 (:REWRITE HIFAT-SUBSETP-REFLEXIVE-LEMMA-3))
 (306 306 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (289 289 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (288 80 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (252 84 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (240 80 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (189 189 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (189 189 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (189 189 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (189 189 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (176 176 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (162 162 (:REWRITE SUBSETP-TRANS2))
 (162 162 (:REWRITE SUBSETP-TRANS))
 (128 37 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (104 104 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (104 104 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (104 104 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (104 104 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (104 104 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (104 104 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (104 104 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (104 104 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (104 104 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (104 104 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (102 102 (:REWRITE INTERSECTP-MEMBER . 1))
 (85 85 (:REWRITE SUBSETP-MEMBER . 2))
 (85 85 (:REWRITE SUBSETP-MEMBER . 1))
 (83 83 (:REWRITE SUBSETP-MEMBER . 4))
 (83 83 (:REWRITE INTERSECTP-MEMBER . 3))
 (83 83 (:REWRITE INTERSECTP-MEMBER . 2))
 (64 4 (:REWRITE ASSOC-AFTER-REMOVE-ASSOC))
 (63 63 (:REWRITE ABSFAT-EQUIV-OF-CTX-APP-LEMMA-1))
 (49 49 (:REWRITE SUBSETP-OF-CDR))
 (14 14 (:LINEAR LEN-WHEN-PREFIXP))
 (14 14 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6 6 (:TYPE-PRESCRIPTION SET-DIFFERENCE-EQUAL))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-34
 (241272 1392 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (189134 3959 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (123768 1614 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (75822 82 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (57175 6145 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (53038 1531 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (48816 128 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-18))
 (48480 1383 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (46864 128 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (42751 2657 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (41032 5370 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (37583 14781 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (36382 953 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (34304 1702 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (28145 204 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (27666 4744 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (24664 5920 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (24442 99 (:REWRITE M1-FILE-P-OF-ABS-FILE))
 (24389 941 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (23344 256 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (20528 768 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (20507 5415 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (20402 1024 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (18244 6818 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (17291 1152 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (17162 13825 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (16823 1647 (:DEFINITION ASSOC-EQUAL))
 (16206 236 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (15497 4461 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (14772 14772 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (12104 1688 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (11571 11571 (:REWRITE DEFAULT-CAR))
 (11043 3146 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (10873 1152 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (10706 1116 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (10056 118 (:REWRITE EQUAL-OF-ABS-FILE))
 (9962 9962 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (9896 9896 (:REWRITE DEFAULT-CDR))
 (9696 9696 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (8460 21 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (8013 854 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (7756 128 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (6818 6818 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6462 72 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (6048 8 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (5754 959 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (5678 118 (:DEFINITION PUT-ASSOC-EQUAL))
 (5120 1024 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (5055 582 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (4865 973 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (4846 1194 (:DEFINITION NATP))
 (4668 60 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (4616 4459 (:REWRITE DEFAULT-<-1))
 (4466 4459 (:REWRITE DEFAULT-<-2))
 (4042 4042 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (3873 1686 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (3476 1702 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (2931 243 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (2911 539 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (2364 91 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (2319 48 (:DEFINITION UNSIGNED-BYTE-P))
 (2271 48 (:DEFINITION INTEGER-RANGE-P))
 (1918 1918 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1783 195 (:REWRITE MEMBER-WHEN-ATOM))
 (1733 1733 (:TYPE-PRESCRIPTION NATP))
 (1708 1708 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (1688 1688 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (1430 1430 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (1408 128 (:REWRITE SUBSETP-CAR-MEMBER))
 (1398 90 (:REWRITE LENGTH-WHEN-STRINGP))
 (1375 1375 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1152 256 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (973 973 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (959 959 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (897 45 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (871 67 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (795 795 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (795 795 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (768 768 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (768 768 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (768 768 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (768 768 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (768 768 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (738 93 (:DEFINITION LEN))
 (720 720 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (650 650 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (640 640 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (576 128 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX))
 (539 539 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (522 522 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (516 516 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (512 512 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (496 34 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (354 118 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (331 331 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (331 331 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (324 324 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (282 152 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-73))
 (279 93 (:REWRITE DEFAULT-+-2))
 (262 262 (:REWRITE SUBSETP-MEMBER . 2))
 (262 262 (:REWRITE SUBSETP-MEMBER . 1))
 (256 128 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (216 90 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (195 195 (:REWRITE SUBSETP-MEMBER . 4))
 (195 195 (:REWRITE SUBSETP-MEMBER . 3))
 (195 195 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (195 195 (:REWRITE INTERSECTP-MEMBER . 3))
 (195 195 (:REWRITE INTERSECTP-MEMBER . 2))
 (192 33 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (186 90 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (180 9 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (132 48 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (128 128 (:REWRITE SUBSETP-OF-CDR))
 (118 118 (:TYPE-PRESCRIPTION D-E-P))
 (118 118 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (97 97 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (96 90 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (93 93 (:REWRITE DEFAULT-+-1))
 (90 90 (:LINEAR LEN-WHEN-PREFIXP))
 (90 90 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (84 84 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (82 82 (:TYPE-PRESCRIPTION NFIX))
 (78 78 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-79))
 (72 18 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (70 70 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (69 3 (:DEFINITION LENGTH))
 (65 65 (:TYPE-PRESCRIPTION ATOM))
 (64 64 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (48 48 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (42 42 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (36 9 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (12 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (7 7 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (4 4 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-11))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-31
 (239686 216 (:DEFINITION ABS-ADDRS))
 (229076 2186 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (196483 1736 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (163263 8921 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (137792 299 (:DEFINITION ABS-FS-FIX))
 (133389 80 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (84657 8500 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (76356 2477 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (60268 560 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (57690 3902 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (55886 80 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (55165 1158 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (39874 1436 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (28883 1371 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (18507 5271 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (17016 611 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (16209 483 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (15873 2647 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (14607 2491 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (14445 6087 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (11337 313 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (10888 292 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (10736 531 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (10523 1452 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (10425 8921 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (10293 2319 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (9494 703 (:DEFINITION ASSOC-EQUAL))
 (8607 339 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (7407 3819 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (7179 1980 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (6877 299 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (6863 1452 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (6642 94 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (6087 6087 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (6051 530 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (5494 1370 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (5420 4523 (:REWRITE DEFAULT-CDR))
 (5271 5271 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (5220 4622 (:REWRITE DEFAULT-CAR))
 (5088 2696 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (5050 1158 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (4638 592 (:REWRITE NFIX-WHEN-ZP))
 (4218 339 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (4193 47 (:REWRITE EQUAL-OF-ABS-FILE))
 (3958 3958 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (3954 3954 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (3887 3887 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (3881 530 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (3602 3602 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (3588 299 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (3588 299 (:REWRITE ABS-FILE->CONTENTS$INLINE-OF-ABS-FILE-FIX-X))
 (3564 594 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (3401 592 (:REWRITE ZP-OPEN))
 (3213 47 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (2998 2998 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2920 2920 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (2882 592 (:REWRITE NFIX-WHEN-NATP))
 (2688 384 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (2472 379 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (2385 483 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (2315 313 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (2261 47 (:DEFINITION PUT-ASSOC-EQUAL))
 (2188 2187 (:REWRITE DEFAULT-<-1))
 (2187 2187 (:REWRITE DEFAULT-<-2))
 (1794 560 (:DEFINITION NATP))
 (1760 352 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1587 151 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (1348 196 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (1236 96 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (1232 216 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (1188 1188 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (966 966 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (936 80 (:REWRITE MEMBER-WHEN-ATOM))
 (926 926 (:TYPE-PRESCRIPTION NATP))
 (924 66 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (897 897 (:REWRITE CDR-CONS))
 (897 299 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (782 782 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (678 339 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (676 304 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (656 192 (:REWRITE SUBSETP-MEMBER . 2))
 (631 631 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (598 598 (:REWRITE CAR-CONS))
 (594 594 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (528 176 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (501 501 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (392 392 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (392 392 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (392 392 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (392 392 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (392 392 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (384 384 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (363 61 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (359 59 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (352 352 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (352 352 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (345 345 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (313 313 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (304 304 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (299 299 (:REWRITE ABS-FILE->D-E$INLINE-OF-ABS-FILE-FIX-X))
 (197 197 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (197 197 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (192 192 (:REWRITE SUBSETP-MEMBER . 1))
 (176 176 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (170 170 (:REWRITE ABS-FS-P-OF-ABS-ALLOC-2))
 (141 141 (:TYPE-PRESCRIPTION ABS-FILE))
 (141 47 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (141 47 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-73))
 (98 98 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (94 94 (:REWRITE ABS-FS-P-OF-ABS-ALLOC-1))
 (93 93 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (93 93 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (80 80 (:TYPE-PRESCRIPTION NFIX))
 (80 80 (:REWRITE SUBSETP-MEMBER . 4))
 (80 80 (:REWRITE SUBSETP-MEMBER . 3))
 (80 80 (:REWRITE INTERSECTP-MEMBER . 3))
 (80 80 (:REWRITE INTERSECTP-MEMBER . 2))
 (69 66 (:REWRITE SUBSETP-TRANS2))
 (53 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (47 47 (:TYPE-PRESCRIPTION D-E-P))
 (47 47 (:TYPE-PRESCRIPTION ATOM))
 (47 47 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (28 28 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (22 22 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (7 7 (:REWRITE ABSFAT-EQUIV-OF-CTX-APP-LEMMA-1))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-79))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-157
 (410086 9719 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (393906 7033 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (160876 59666 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (133358 33961 (:REWRITE DEFAULT-CDR))
 (118732 37848 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (94105 453 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (84219 906 (:REWRITE DIR-STREAM-TABLE-P-OF-CDR-WHEN-DIR-STREAM-TABLE-P))
 (47640 31113 (:REWRITE DEFAULT-CAR))
 (46853 1086 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (43615 1254 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (41141 453 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (41141 453 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (41141 453 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (38005 330 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (30667 9203 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (30349 906 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (30349 906 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (30349 906 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (18315 1086 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (16971 838 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (15216 15216 (:TYPE-PRESCRIPTION ABS-FS-P))
 (14439 3199 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (12927 1359 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (12927 1359 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (12927 1359 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (12927 1359 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (12268 649 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (12209 1223 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (12044 426 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (10532 3474 (:REWRITE DEFAULT-<-1))
 (9578 2402 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (9048 1131 (:DEFINITION LEN))
 (9017 9017 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (7883 702 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (7792 7792 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (7218 406 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (4784 4784 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (4535 228 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (3474 3474 (:REWRITE DEFAULT-<-2))
 (3393 1131 (:REWRITE DEFAULT-+-2))
 (2904 2904 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (2718 2718 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2718 2718 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (2718 2718 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (2540 2540 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2392 2392 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (2174 182 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (1692 702 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (1600 1600 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (1452 1452 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (1444 370 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1304 188 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1270 1270 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1254 1254 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1254 1254 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1254 1254 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (1188 132 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (1132 1131 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (1131 1131 (:REWRITE DEFAULT-+-1))
 (1083 1083 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (1030 93 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (986 986 (:TYPE-PRESCRIPTION M1-FILE-P))
 (868 868 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (862 370 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (740 78 (:REWRITE NFIX-WHEN-ZP))
 (616 94 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (584 78 (:REWRITE ZP-OPEN))
 (582 246 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (564 94 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (492 492 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (470 94 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (380 76 (:DEFINITION NFIX))
 (282 282 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (282 94 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (282 94 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (202 202 (:LINEAR LEN-WHEN-PREFIXP))
 (202 202 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (188 188 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (152 152 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (84 84 (:REWRITE-QUOTED-CONSTANT TRUE-LIST-LIST-FIX-UNDER-TRUE-LIST-LIST-EQUIV))
 (84 84 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-42
 (9729 29 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (8940 75 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (8640 160 (:DEFINITION ASSOC-EQUAL))
 (4920 103 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (4437 46 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (3842 218 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (3191 121 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (3031 23 (:DEFINITION PUT-ASSOC-EQUAL))
 (2425 231 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (2119 498 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1921 351 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1507 21 (:REWRITE EQUAL-OF-ABS-FILE))
 (1383 121 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1029 21 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (986 231 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (864 864 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (818 243 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (792 153 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (776 252 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (752 752 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (722 72 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (629 371 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (621 621 (:REWRITE DEFAULT-CAR))
 (462 462 (:REWRITE DEFAULT-CDR))
 (426 21 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (390 65 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (385 29 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (366 366 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (243 243 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (242 121 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (221 221 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (197 21 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (197 11 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (153 33 (:REWRITE NFIX-WHEN-ZP))
 (152 152 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (152 152 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (152 152 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (152 152 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (130 130 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (103 103 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (101 43 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-73))
 (81 18 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (77 33 (:REWRITE NFIX-WHEN-NATP))
 (73 28 (:REWRITE ZP-OPEN))
 (65 65 (:TYPE-PRESCRIPTION ABS-FILE))
 (65 65 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (63 21 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (54 18 (:DEFINITION NATP))
 (53 52 (:REWRITE DEFAULT-<-1))
 (52 52 (:REWRITE DEFAULT-<-2))
 (49 49 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (49 49 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (49 49 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (49 49 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (49 49 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (47 47 (:TYPE-PRESCRIPTION NATP))
 (42 42 (:REWRITE ABS-FS-P-OF-ABS-ALLOC-1))
 (34 17 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (31 31 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (29 29 (:TYPE-PRESCRIPTION NFIX))
 (29 29 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (29 29 (:TYPE-PRESCRIPTION ATOM))
 (26 26 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (21 21 (:TYPE-PRESCRIPTION D-E-P))
 (21 21 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (18 18 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (4 4 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-79))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-1
 (64266 154 (:REWRITE M1-FILE-CONTENTS-FIX-WHEN-M1-FILE-CONTENTS-P))
 (63502 178 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (57102 136 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (46316 330 (:REWRITE HIFAT-NO-DUPS-P-OF-HIFAT-PLACE-FILE))
 (28445 1165 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (28412 2540 (:REWRITE NFIX-WHEN-ZP))
 (26748 16 (:REWRITE M1-FILE->CONTENTS-OF-M1-FILE))
 (23842 16 (:REWRITE M1-REGULAR-FILE-P-OF-M1-FILE))
 (23672 1340 (:REWRITE ZP-OPEN))
 (21174 72 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (20930 24 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (19420 170 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (16194 106 (:REWRITE EQUAL-OF-M1-FILE))
 (15592 15592 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (15366 2838 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (14224 275 (:DEFINITION PUT-ASSOC-EQUAL))
 (12661 39 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (11526 1176 (:DEFINITION ASSOC-EQUAL))
 (11172 24 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-18))
 (10886 5378 (:REWRITE DEFAULT-+-2))
 (10494 22 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (10160 2540 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (10160 2540 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (9508 8894 (:REWRITE DEFAULT-CDR))
 (7810 22 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (7118 1755 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (6463 16 (:REWRITE HIFAT-NO-DUPS-P-OF-PUT-ASSOC))
 (6152 14 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE))
 (5522 306 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (5410 2723 (:REWRITE DEFAULT-<-2))
 (5378 5378 (:REWRITE DEFAULT-+-1))
 (4682 4545 (:REWRITE DEFAULT-CAR))
 (3065 652 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (3009 177 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-5))
 (2950 2950 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2827 2723 (:REWRITE DEFAULT-<-1))
 (2653 263 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (2472 2472 (:LINEAR LEN-WHEN-PREFIXP))
 (2472 2472 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2006 2006 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-OF-APPEND-LEMMA-1))
 (1906 1598 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (1458 1458 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (1406 141 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1276 1276 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1270 1270 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1270 1270 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1270 1270 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1270 1270 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1144 1144 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-CORRECTNESS-1 . 2))
 (965 2 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (950 950 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (929 2 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (855 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (839 2 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (807 2 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (806 166 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (767 2 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (756 111 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (725 28 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (656 182 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (644 8 (:DEFINITION UNSIGNED-BYTE-P))
 (636 8 (:DEFINITION INTEGER-RANGE-P))
 (623 623 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (480 480 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (480 480 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (480 480 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (398 398 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-1))
 (374 374 (:TYPE-PRESCRIPTION M1-FILE))
 (358 8 (:LINEAR LEN-OF-EXPLODE-OF-M1-FILE-CONTENTS-FIX))
 (318 106 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (287 287 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (266 266 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (264 48 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (238 238 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (238 238 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (237 237 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (231 231 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (231 231 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (192 12 (:REWRITE LENGTH-WHEN-STRINGP))
 (174 174 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (164 164 (:TYPE-PRESCRIPTION M1-FILE-HIFAT-FILE-ALIST-FIX))
 (139 139 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (139 139 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (106 106 (:TYPE-PRESCRIPTION D-E-P))
 (106 106 (:REWRITE D-E-P-OF-M1-FILE->D-E))
 (102 102 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (92 92 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-FIX))
 (87 87 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (84 4 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (80 80 (:TYPE-PRESCRIPTION M1-FILE->D-E$INLINE))
 (68 36 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (58 58 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (51 51 (:TYPE-PRESCRIPTION NULL))
 (51 51 (:DEFINITION NULL))
 (48 48 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-HIFAT-FILE-ALIST-FIX))
 (32 8 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE-CONTENTS-FIX))
 (29 29 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (24 12 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (22 22 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (20 20 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (18 18 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (14 2 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (12 12 (:REWRITE NOT-M1-REGULAR-FILE-P-OF-M1-FILE-HIFAT-FILE-ALIST-FIX))
 (11 11 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (10 2 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (8 2 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (8 2 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (5 5 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (4 4 (:REWRITE M1-FILE-P-OF-M1-FILE))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-32
 (18 6 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-9))
 (15 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-9))
 (12 2 (:DEFINITION ASSOC-EQUAL))
 (8 8 (:REWRITE DEFAULT-CAR))
 (4 1 (:DEFINITION STRIP-CARS))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-19
 (55478 12 (:DEFINITION COLLAPSE))
 (23369 24 (:DEFINITION COLLAPSE-THIS))
 (22300 378 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (21363 197 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (20893 617 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (20741 6 (:DEFINITION HIFAT-PLACE-FILE))
 (19605 24 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-1))
 (18490 76 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (17785 167 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (15504 206 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (12729 2555 (:REWRITE DEFAULT-CDR))
 (10552 5914 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (10330 548 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (9624 24 (:DEFINITION CTX-APP))
 (9579 240 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (8604 180 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (8029 31 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (7129 20 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (6964 48 (:DEFINITION 1ST-COMPLETE))
 (6868 258 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (6732 70 (:DEFINITION ABS-ADDRS))
 (6415 176 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (6302 26 (:REWRITE CONSP-OF-NTHCDR))
 (4816 778 (:DEFINITION ASSOC-EQUAL))
 (4532 286 (:REWRITE ZP-OPEN))
 (4254 244 (:REWRITE NFIX-WHEN-ZP))
 (4084 383 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3790 1753 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3692 3692 (:REWRITE DEFAULT-CAR))
 (3577 38 (:DEFINITION NTHCDR))
 (3338 535 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (3066 1476 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (2662 1064 (:REWRITE DEFAULT-<-2))
 (2122 1 (:DEFINITION DIST-NAMES))
 (2082 144 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (2042 1064 (:REWRITE DEFAULT-<-1))
 (1824 48 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (1766 1766 (:LINEAR LEN-WHEN-PREFIXP))
 (1736 133 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-3))
 (1736 56 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-2))
 (1733 145 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (1472 147 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1419 199 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (1399 1399 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (1367 210 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1332 18 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (1327 244 (:REWRITE NFIX-WHEN-NATP))
 (1077 1077 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (1050 534 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (1044 96 (:DEFINITION ABS-ASSOC-DEFINITION))
 (1027 421 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (946 535 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (891 3 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-6))
 (862 236 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (849 3 (:REWRITE ABS-SEPARATE-OF-FRAME-WITH-ROOT))
 (837 120 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (811 94 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (780 780 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (738 18 (:REWRITE HIFAT-NO-DUPS-P-OF-HIFAT-PLACE-FILE))
 (736 37 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (588 113 (:DEFINITION STRIP-CARS))
 (570 3 (:REWRITE ABS-SEPARATE-OF-PARTIAL-COLLAPSE))
 (520 104 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (506 167 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (475 95 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (472 472 (:TYPE-PRESCRIPTION M1-FILE-P))
 (453 453 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (453 453 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (448 448 (:TYPE-PRESCRIPTION PREFIXP))
 (442 94 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (421 421 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (421 67 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (399 399 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (358 358 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (340 340 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (339 63 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (334 167 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (328 70 (:DEFINITION NFIX))
 (312 78 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (305 56 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (304 76 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (288 288 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (287 31 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (277 70 (:DEFINITION NATP))
 (256 48 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (252 252 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE))
 (240 48 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (228 228 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (226 226 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (210 54 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (180 180 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (180 180 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (168 24 (:DEFINITION REMOVE-EQUAL))
 (156 48 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (156 26 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (147 147 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (146 12 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (143 143 (:TYPE-PRESCRIPTION NATP))
 (138 31 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (138 30 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (134 4 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (132 42 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (130 130 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (126 126 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-OF-APPEND-LEMMA-1))
 (124 25 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (118 118 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (117 39 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (117 39 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (114 38 (:REWRITE COMMUTATIVITY-OF-+))
 (114 19 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-10))
 (108 108 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (97 97 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (97 25 (:REWRITE MEMBER-WHEN-ATOM))
 (94 94 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (88 88 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (84 84 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (84 84 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (80 4 (:DEFINITION FRAME-ADDRS-ROOT))
 (76 76 (:TYPE-PRESCRIPTION NFIX))
 (76 76 (:REWRITE DEFAULT-+-2))
 (76 76 (:REWRITE DEFAULT-+-1))
 (73 7 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (72 72 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (67 67 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (60 60 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (57 19 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (57 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-8))
 (56 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (53 53 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (53 53 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (52 13 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (50 50 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (48 48 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (48 24 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (44 2 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (41 2 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (40 7 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (36 36 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (36 36 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (36 36 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-1))
 (36 36 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (36 36 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (31 31 (:REWRITE FRAME-P-OF-PARTIAL-COLLAPSE))
 (27 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (25 25 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (25 25 (:REWRITE SUBSETP-MEMBER . 3))
 (25 25 (:REWRITE INTERSECTP-MEMBER . 3))
 (25 25 (:REWRITE INTERSECTP-MEMBER . 2))
 (24 24 (:TYPE-PRESCRIPTION NAMES-AT))
 (24 24 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (24 24 (:DEFINITION ABS-PUT-ASSOC-DEFINITION))
 (21 1 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (20 20 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (19 4 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (18 18 (:REWRITE M1-FILE->CONTENTS$INLINE-OF-M1-FILE-FIX-X))
 (18 9 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-12))
 (18 6 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (16 4 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (16 4 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (15 15 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (15 15 (:REWRITE ABS-FILE-ALIST-P-OF-COLLAPSE))
 (13 13 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (12 12 (:REWRITE CAR-OF-NTHCDR))
 (12 12 (:REWRITE ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 (12 4 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (12 3 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (10 10 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (6 6 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-6))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (3 3 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (3 3 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (3 3 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-8))
 (3 3 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (3 1 (:REWRITE CONSP-OF-STRIP-CARS))
 (2 2 (:TYPE-PRESCRIPTION STRIP-CARS))
 (2 2 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 1))
 (2 2 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-174
 (12770 122 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (11933 2 (:DEFINITION COLLAPSE))
 (11401 1 (:DEFINITION ABS-PLACE-FILE-HELPER))
 (10783 134 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (8544 819 (:REWRITE DEFAULT-CDR))
 (7611 9 (:REWRITE CONSP-OF-NTHCDR))
 (7187 40 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (7000 50 (:LINEAR PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9))
 (6626 46 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (6410 124 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (4669 8 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (4581 201 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (4451 4 (:DEFINITION COLLAPSE-THIS))
 (4307 12 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (4275 111 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (4230 42 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (3645 53 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (3521 56 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-PARTIAL-COLLAPSE))
 (3501 3 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (2971 24 (:DEFINITION ABS-ADDRS))
 (2601 2601 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (2593 57 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (2586 111 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (2479 296 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (2255 110 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (2204 4 (:REWRITE COLLAPSE-CONGRUENCE-LEMMA-2))
 (2114 132 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2032 4 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 2))
 (1946 60 (:REWRITE NFIX-WHEN-ZP))
 (1884 60 (:REWRITE ZP-OPEN))
 (1779 166 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1656 8 (:DEFINITION 1ST-COMPLETE))
 (1629 4 (:DEFINITION CTX-APP))
 (1467 226 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (1443 1443 (:TYPE-PRESCRIPTION STRIP-CARS))
 (1296 943 (:REWRITE DEFAULT-CAR))
 (1268 4 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-ABS-PLACE-FILE-HELPER . 3))
 (1136 3 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (1128 67 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (1048 53 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (940 940 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE))
 (905 6 (:DEFINITION NTHCDR))
 (862 60 (:REWRITE NFIX-WHEN-NATP))
 (830 442 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (830 302 (:REWRITE DEFAULT-<-2))
 (734 110 (:DEFINITION ASSOC-EQUAL))
 (678 302 (:REWRITE DEFAULT-<-1))
 (631 2 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (614 8 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9 . 2))
 (602 354 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (590 590 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (584 4 (:REWRITE REMOVE-ASSOC-OF-PUT-ASSOC))
 (568 12 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (556 111 (:DEFINITION STRIP-CARS))
 (555 555 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (493 160 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (492 492 (:TYPE-PRESCRIPTION ABS-FS-P))
 (460 115 (:REWRITE MEMBER-WHEN-ATOM))
 (446 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (445 333 (:REWRITE CONSP-OF-STRIP-CARS))
 (444 444 (:LINEAR LEN-WHEN-PREFIXP))
 (420 50 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (405 27 (:REWRITE FRAME->FRAME-OF-FRAME-WITH-ROOT))
 (382 122 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (359 359 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (354 354 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (342 342 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (342 36 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (282 282 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (280 29 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (264 47 (:REWRITE ASSOC-AFTER-PUT-ASSOC))
 (260 260 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (258 258 (:TYPE-PRESCRIPTION NATP))
 (258 65 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (242 67 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (226 226 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (222 20 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (220 220 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (216 122 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (216 8 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (215 122 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (191 24 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (190 17 (:DEFINITION ABS-ASSOC-DEFINITION))
 (183 28 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (160 160 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (160 160 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (152 32 (:DEFINITION NFIX))
 (144 144 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (144 5 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (138 32 (:DEFINITION NATP))
 (137 23 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (136 136 (:TYPE-PRESCRIPTION ABS-PLACE-FILE-HELPER-OF-APPEND-LEMMA-2))
 (130 130 (:TYPE-PRESCRIPTION M1-FILE-P))
 (130 130 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (128 30 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (127 40 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (120 8 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (120 8 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (120 4 (:REWRITE FRAME-P-OF-PUT-ASSOC))
 (115 115 (:REWRITE SUBSETP-MEMBER . 3))
 (115 115 (:REWRITE INTERSECTP-MEMBER . 3))
 (115 115 (:REWRITE INTERSECTP-MEMBER . 2))
 (109 7 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (107 23 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (103 103 (:TYPE-PRESCRIPTION PREFIXP))
 (97 97 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (96 8 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (96 8 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (82 36 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (80 16 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (79 79 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (72 72 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (63 17 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (60 10 (:REWRITE FRAME-P-OF-PARTIAL-COLLAPSE))
 (55 55 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (54 54 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (54 27 (:REWRITE TRUE-LISTP-OF-PUT-ASSOC))
 (53 53 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (50 50 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (48 48 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (48 4 (:REWRITE FILE-TABLE-P-OF-PUT-ASSOC))
 (48 4 (:REWRITE FD-TABLE-P-OF-PUT-ASSOC))
 (45 7 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (44 44 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (44 44 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (42 42 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (42 42 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (42 12 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (40 4 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 1))
 (40 4 (:REWRITE DIR-STREAM-TABLE-P-OF-PUT-ASSOC))
 (39 39 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (34 34 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (32 32 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (32 16 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (32 16 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (30 9 (:REWRITE FRAME->ROOT-OF-FRAME-WITH-ROOT))
 (29 29 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (28 12 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (28 12 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (28 12 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (28 4 (:DEFINITION REMOVE-EQUAL))
 (26 26 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (24 24 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (24 24 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (24 24 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (24 24 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (24 24 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (24 8 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (24 6 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (21 5 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (18 18 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (18 6 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (18 6 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (18 6 (:REWRITE COMMUTATIVITY-OF-+))
 (16 16 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (15 15 (:TYPE-PRESCRIPTION FRAME-VAL))
 (14 14 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (14 14 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (14 14 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (12 12 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (12 12 (:TYPE-PRESCRIPTION NFIX))
 (12 12 (:REWRITE DEFAULT-+-2))
 (12 12 (:REWRITE DEFAULT-+-1))
 (11 5 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (10 10 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (9 9 (:REWRITE ABS-FIND-FILE-SRC-CORRECTNESS-1))
 (8 8 (:TYPE-PRESCRIPTION ABSFAT-EQUIV))
 (8 8 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (8 8 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (8 8 (:DEFINITION ABS-PUT-ASSOC-DEFINITION))
 (8 4 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (8 4 (:REWRITE FRAME-VAL->DIR-OF-FRAME-VAL))
 (8 2 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (7 7 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (7 7 (:REWRITE ABSFAT-EQUIV-OF-ABS-FS-FIX))
 (6 6 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (5 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (4 4 (:REWRITE ABS-FS-P-OF-ABS-PLACE-FILE-HELPER))
 (3 3 (:REWRITE CAR-OF-NTHCDR))
 (3 1 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (2 2 (:TYPE-PRESCRIPTION DIRNAME))
 (2 2 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (2 2 (:REWRITE ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 (2 1 (:REWRITE CONSP-OF-DIRNAME))
 (1 1 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-175
 (4 4 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (2 2 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-38
 (17145 4 (:DEFINITION COLLAPSE))
 (12880 39 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (6943 8 (:DEFINITION COLLAPSE-THIS))
 (6777 112 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6348 184 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (5973 24 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (5306 50 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (4678 62 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (4309 1 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-1 . 1))
 (4306 6 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (4102 9 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-2))
 (3540 790 (:REWRITE DEFAULT-CDR))
 (3059 164 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (2792 72 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (2690 8 (:DEFINITION CTX-APP))
 (2636 54 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (2444 8 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (1936 16 (:DEFINITION 1ST-COMPLETE))
 (1856 30 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1563 7 (:REWRITE CONSP-OF-NTHCDR))
 (1562 20 (:DEFINITION ABS-ADDRS))
 (1547 250 (:DEFINITION ASSOC-EQUAL))
 (1512 43 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1435 43 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1346 87 (:REWRITE ZP-OPEN))
 (1286 75 (:REWRITE NFIX-WHEN-ZP))
 (1144 526 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1124 12 (:DEFINITION NTHCDR))
 (1120 1120 (:REWRITE DEFAULT-CAR))
 (956 160 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (791 314 (:REWRITE DEFAULT-<-2))
 (698 109 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (666 48 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (608 314 (:REWRITE DEFAULT-<-1))
 (608 16 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (530 530 (:LINEAR LEN-WHEN-PREFIXP))
 (419 419 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (392 75 (:REWRITE NFIX-WHEN-NATP))
 (348 32 (:DEFINITION ABS-ASSOC-DEFINITION))
 (332 160 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (282 160 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (251 31 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (248 28 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (235 235 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (232 56 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (193 193 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (193 193 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (155 31 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (152 152 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (151 151 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (151 151 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (150 50 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (145 14 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (135 27 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (134 134 (:TYPE-PRESCRIPTION PREFIXP))
 (128 28 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (124 20 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (118 20 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (112 112 (:TYPE-PRESCRIPTION M1-FILE-P))
 (112 112 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (112 1 (:REWRITE FIND-NEW-INDEX-CORRECTNESS-1))
 (101 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (100 50 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (96 24 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (94 20 (:DEFINITION NFIX))
 (92 92 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (92 1 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (84 84 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (83 5 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (80 20 (:DEFINITION NATP))
 (80 16 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (80 4 (:DEFINITION FRAME-ADDRS-ROOT))
 (78 15 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (70 70 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (68 68 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (64 16 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (64 16 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (56 56 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (56 8 (:DEFINITION REMOVE-EQUAL))
 (54 54 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (54 54 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (54 9 (:DEFINITION STRIP-CARS))
 (53 2 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (52 16 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (48 48 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (48 16 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (43 43 (:TYPE-PRESCRIPTION ABS-FS-P))
 (39 12 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (36 12 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (36 12 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (36 12 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (36 12 (:REWRITE COMMUTATIVITY-OF-+))
 (36 9 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (34 34 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (32 16 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (32 8 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (31 9 (:REWRITE MEMBER-WHEN-ATOM))
 (28 28 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (28 28 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (28 28 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (28 12 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (27 27 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (24 24 (:TYPE-PRESCRIPTION NFIX))
 (24 24 (:REWRITE DEFAULT-+-2))
 (24 24 (:REWRITE DEFAULT-+-1))
 (24 12 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (22 22 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (20 20 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (18 3 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (16 16 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (16 16 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (16 8 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (16 4 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (12 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (9 9 (:REWRITE INTERSECTP-MEMBER . 3))
 (9 9 (:REWRITE INTERSECTP-MEMBER . 2))
 (9 3 (:REWRITE CONSP-OF-STRIP-CARS))
 (8 8 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (8 8 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (8 8 (:DEFINITION ABS-PUT-ASSOC-DEFINITION))
 (8 4 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (6 6 (:TYPE-PRESCRIPTION STRIP-CARS))
 (6 6 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (6 6 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (5 5 (:REWRITE FRAME-P-OF-PARTIAL-COLLAPSE))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (4 4 (:REWRITE CAR-OF-NTHCDR))
 (4 4 (:REWRITE ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 (2 2 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (2 1 (:REWRITE SET-EQUIV-ASYM))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-130
 (52795 11 (:DEFINITION COLLAPSE))
 (22875 22 (:DEFINITION COLLAPSE-THIS))
 (22421 348 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (21140 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (21081 569 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (19403 70 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (17665 154 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (15800 190 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (11327 2125 (:REWRITE DEFAULT-CDR))
 (10678 505 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (10517 120 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (9849 10 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (9821 1 (:REWRITE FIND-NEW-INDEX-CORRECTNESS-1))
 (9713 22 (:DEFINITION CTX-APP))
 (9690 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 1))
 (9088 221 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (8963 166 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (7773 22 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (6272 24 (:REWRITE CONSP-OF-NTHCDR))
 (5936 45 (:DEFINITION 1ST-COMPLETE))
 (5867 93 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (5447 122 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (4842 57 (:DEFINITION ABS-ADDRS))
 (4827 122 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (4521 243 (:REWRITE ZP-OPEN))
 (4390 218 (:REWRITE NFIX-WHEN-ZP))
 (4118 1614 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3756 35 (:DEFINITION NTHCDR))
 (3672 591 (:DEFINITION ASSOC-EQUAL))
 (3367 493 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (2998 2979 (:REWRITE DEFAULT-CAR))
 (2788 925 (:REWRITE DEFAULT-<-2))
 (2679 1 (:DEFINITION ABS-SEPARATE))
 (2343 1 (:DEFINITION DIST-NAMES))
 (2265 294 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2154 132 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (2071 925 (:REWRITE DEFAULT-<-1))
 (1848 44 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (1626 1626 (:LINEAR LEN-WHEN-PREFIXP))
 (1468 2 (:DEFINITION ABS-FIND-FILE-HELPER))
 (1449 41 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-2))
 (1316 218 (:REWRITE NFIX-WHEN-NATP))
 (1288 1288 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (1288 4 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (1148 96 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (1088 90 (:DEFINITION ABS-ASSOC-DEFINITION))
 (1009 492 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (929 81 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (871 493 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (862 168 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (719 719 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (525 53 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (523 523 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (496 98 (:DEFINITION STRIP-CARS))
 (480 96 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (475 81 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (466 154 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (413 413 (:TYPE-PRESCRIPTION PREFIXP))
 (408 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (390 79 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (384 21 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (374 55 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (358 54 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (348 56 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (336 336 (:TYPE-PRESCRIPTION M1-FILE-P))
 (336 336 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (327 327 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (324 324 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (319 319 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (308 154 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (300 45 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (294 15 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (280 70 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (279 279 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (279 57 (:DEFINITION NFIX))
 (270 45 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (264 45 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (260 260 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (246 46 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (226 57 (:DEFINITION NATP))
 (208 208 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (199 199 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (188 50 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (176 122 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (166 166 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (166 166 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (162 4 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (156 1 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (154 154 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (154 154 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (154 154 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (154 22 (:DEFINITION REMOVE-EQUAL))
 (153 11 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (140 140 (:TYPE-PRESCRIPTION ABS-FS-P))
 (140 37 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (131 24 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (122 122 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (108 108 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (108 36 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (108 36 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (105 35 (:REWRITE COMMUTATIVITY-OF-+))
 (99 99 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (98 98 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (93 24 (:REWRITE MEMBER-WHEN-ATOM))
 (89 89 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (83 83 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (81 81 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (72 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (70 70 (:TYPE-PRESCRIPTION NFIX))
 (70 70 (:REWRITE DEFAULT-+-2))
 (70 70 (:REWRITE DEFAULT-+-1))
 (66 66 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (60 3 (:DEFINITION FRAME-ADDRS-ROOT))
 (58 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (55 55 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (53 53 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (52 26 (:REWRITE CONSP-OF-DIRNAME))
 (52 2 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (50 2 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (48 12 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (48 8 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (46 10 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (45 45 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (44 22 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (44 2 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (42 10 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (41 2 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (33 33 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (32 32 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (31 31 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (27 1 (:REWRITE CTX-APP-OK-OF-CTX-APP-LIST-SEQ-LEMMA-1))
 (24 24 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (24 24 (:TYPE-PRESCRIPTION NAMES-AT))
 (24 24 (:REWRITE SUBSETP-MEMBER . 3))
 (24 24 (:REWRITE INTERSECTP-MEMBER . 3))
 (24 24 (:REWRITE INTERSECTP-MEMBER . 2))
 (24 24 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (24 8 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (23 23 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (22 22 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (22 22 (:DEFINITION ABS-PUT-ASSOC-DEFINITION))
 (20 4 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (20 4 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (20 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (18 8 (:REWRITE CONSP-OF-STRIP-CARS))
 (18 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (17 1 (:REWRITE VALID-SEQP-WHEN-PREFIXP))
 (17 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (16 16 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (16 4 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (16 4 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (16 4 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (14 14 (:REWRITE FAT32-FILENAME-LIST-P-OF-DIRNAME))
 (12 12 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (12 12 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (12 12 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (11 11 (:REWRITE CAR-OF-NTHCDR))
 (11 11 (:REWRITE ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 (10 10 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (10 10 (:REWRITE SUBSETP-TRANS2))
 (8 2 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (7 2 (:TYPE-PRESCRIPTION FINAL-VAL-SEQ-OF-COLLAPSE-THIS-LEMMA-7))
 (6 6 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (6 6 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (4 4 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (4 1 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (3 3 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (2 2 (:TYPE-PRESCRIPTION VALID-SEQP))
 (2 2 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-PARTIAL-COLLAPSE))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 1))
 (2 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (1 1 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE ABS-NO-DUPS-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-6)
(ABS-MKDIR-CORRECTNESS-LEMMA-7
 (4755 2 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (4751 1 (:DEFINITION COLLAPSE))
 (2011 2 (:DEFINITION COLLAPSE-THIS))
 (1968 30 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1844 48 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (1704 6 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (1515 13 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (1355 16 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1155 473 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (1058 1058 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (917 43 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (896 173 (:REWRITE DEFAULT-CDR))
 (883 2 (:DEFINITION CTX-APP))
 (773 19 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (753 14 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (671 2 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (652 4 (:DEFINITION 1ST-COMPLETE))
 (558 2 (:REWRITE CONSP-OF-NTHCDR))
 (404 8 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (400 6 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (379 20 (:REWRITE ZP-OPEN))
 (368 18 (:REWRITE NFIX-WHEN-ZP))
 (351 139 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (344 8 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (320 3 (:DEFINITION NTHCDR))
 (299 50 (:DEFINITION ASSOC-EQUAL))
 (299 42 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (268 4 (:DEFINITION ABS-ADDRS))
 (245 239 (:REWRITE DEFAULT-CAR))
 (244 84 (:REWRITE DEFAULT-<-2))
 (222 18 (:REWRITE NFIX-WHEN-NATP))
 (186 12 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (182 84 (:REWRITE DEFAULT-<-1))
 (168 4 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (140 140 (:LINEAR LEN-WHEN-PREFIXP))
 (140 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (122 122 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (111 111 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (92 92 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (90 8 (:DEFINITION ABS-ASSOC-DEFINITION))
 (89 42 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (83 8 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (77 2 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (75 42 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (74 74 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (72 72 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE))
 (69 6 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (69 6 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (64 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-PARTIAL-COLLAPSE))
 (61 61 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (56 20 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (56 16 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (56 4 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (54 12 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (52 52 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (47 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (41 7 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (41 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (40 13 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (40 8 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (38 6 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (35 35 (:TYPE-PRESCRIPTION PREFIXP))
 (35 4 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (34 5 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (32 8 (:DEFINITION NFIX))
 (32 8 (:DEFINITION NATP))
 (32 4 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (32 4 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (29 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (28 6 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (27 27 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (26 26 (:TYPE-PRESCRIPTION STRIP-CARS))
 (26 26 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (26 13 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (25 25 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (25 25 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (24 24 (:TYPE-PRESCRIPTION M1-FILE-P))
 (24 24 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (24 6 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (24 4 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (24 4 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (24 4 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (22 22 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (21 21 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (18 18 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (18 4 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (16 16 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (16 16 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (16 8 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (16 8 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (16 4 (:REWRITE MEMBER-WHEN-ATOM))
 (16 4 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (14 14 (:TYPE-PRESCRIPTION NATP))
 (14 14 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (14 14 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (14 14 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (14 2 (:DEFINITION REMOVE-EQUAL))
 (12 12 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (12 4 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (12 3 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (11 11 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (10 10 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (10 10 (:TYPE-PRESCRIPTION ABS-FS-P))
 (10 2 (:DEFINITION STRIP-CARS))
 (9 9 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (9 3 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (9 3 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (9 3 (:REWRITE COMMUTATIVITY-OF-+))
 (9 2 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (9 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (8 8 (:TYPE-PRESCRIPTION FILE-TABLE-P))
 (8 8 (:TYPE-PRESCRIPTION FD-TABLE-P))
 (8 8 (:TYPE-PRESCRIPTION DIR-STREAM-TABLE-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (8 8 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (8 8 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (8 6 (:REWRITE CONSP-OF-STRIP-CARS))
 (7 7 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (7 7 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (7 7 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (6 6 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION NFIX))
 (6 6 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (6 6 (:REWRITE DEFAULT-+-2))
 (6 6 (:REWRITE DEFAULT-+-1))
 (5 5 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (4 4 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (4 4 (:REWRITE SUBSETP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (4 2 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (4 1 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (3 3 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (2 2 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (2 2 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (2 2 (:DEFINITION ABS-PUT-ASSOC-DEFINITION))
 (2 1 (:REWRITE CONSP-OF-DIRNAME))
 (2 1 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (1 1 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (1 1 (:REWRITE CAR-OF-NTHCDR))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-95
 (4754 1 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (4751 1 (:DEFINITION COLLAPSE))
 (2011 2 (:DEFINITION COLLAPSE-THIS))
 (1968 30 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1844 48 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (1704 6 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (1515 13 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (1355 16 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1143 466 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (1058 1058 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (917 43 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (888 168 (:REWRITE DEFAULT-CDR))
 (883 2 (:DEFINITION CTX-APP))
 (773 19 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (753 14 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (671 2 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (652 4 (:DEFINITION 1ST-COMPLETE))
 (558 2 (:REWRITE CONSP-OF-NTHCDR))
 (466 466 (:TYPE-PRESCRIPTION LEN))
 (404 8 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (388 5 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (379 20 (:REWRITE ZP-OPEN))
 (368 18 (:REWRITE NFIX-WHEN-ZP))
 (351 139 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (344 8 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (320 3 (:DEFINITION NTHCDR))
 (299 42 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (283 48 (:DEFINITION ASSOC-EQUAL))
 (268 4 (:DEFINITION ABS-ADDRS))
 (244 84 (:REWRITE DEFAULT-<-2))
 (235 232 (:REWRITE DEFAULT-CAR))
 (222 18 (:REWRITE NFIX-WHEN-NATP))
 (217 77 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (186 12 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (182 84 (:REWRITE DEFAULT-<-1))
 (168 4 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (140 140 (:LINEAR LEN-WHEN-PREFIXP))
 (122 122 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (111 111 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (93 93 (:TYPE-PRESCRIPTION FRAME-P))
 (92 92 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (90 8 (:DEFINITION ABS-ASSOC-DEFINITION))
 (89 42 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (83 8 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (75 42 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (74 74 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (69 6 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (69 6 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (61 61 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (56 20 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (56 16 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (56 4 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (54 12 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (50 50 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (41 7 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (40 13 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (40 8 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (35 35 (:TYPE-PRESCRIPTION PREFIXP))
 (34 5 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (32 8 (:DEFINITION NFIX))
 (32 8 (:DEFINITION NATP))
 (32 4 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (32 4 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (28 6 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (27 27 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (27 1 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (26 13 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (24 24 (:TYPE-PRESCRIPTION M1-FILE-P))
 (24 24 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (24 24 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (24 24 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (24 24 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (24 6 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (24 4 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (24 4 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (24 4 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (22 22 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (20 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (19 19 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (19 3 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (18 18 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (18 4 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (17 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (16 16 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (16 16 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (16 8 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (16 4 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (15 15 (:TYPE-PRESCRIPTION ZP))
 (14 14 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (14 14 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (14 14 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (14 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (14 2 (:DEFINITION REMOVE-EQUAL))
 (12 12 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (12 4 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (12 3 (:REWRITE MEMBER-WHEN-ATOM))
 (12 3 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (11 11 (:TYPE-PRESCRIPTION STRIP-CARS))
 (11 11 (:TYPE-PRESCRIPTION NATP))
 (11 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (10 6 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (10 2 (:DEFINITION STRIP-CARS))
 (9 9 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (9 3 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (9 3 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (9 3 (:REWRITE COMMUTATIVITY-OF-+))
 (9 2 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (8 8 (:TYPE-PRESCRIPTION FILE-TABLE-P))
 (8 8 (:TYPE-PRESCRIPTION FD-TABLE-P))
 (8 8 (:TYPE-PRESCRIPTION DIR-STREAM-TABLE-P))
 (8 8 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (8 8 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (7 7 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (7 7 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (7 7 (:TYPE-PRESCRIPTION ABS-FS-P))
 (7 7 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (6 6 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION NFIX))
 (6 6 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (6 6 (:REWRITE DEFAULT-+-2))
 (6 6 (:REWRITE DEFAULT-+-1))
 (5 5 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (4 4 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (4 2 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (4 1 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (3 3 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (3 3 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (3 3 (:REWRITE SUBSETP-MEMBER . 3))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 3))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 2))
 (3 3 (:REWRITE CONSP-OF-STRIP-CARS))
 (3 3 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (2 2 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (2 2 (:DEFINITION ABS-PUT-ASSOC-DEFINITION))
 (2 1 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (1 1 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (1 1 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:REWRITE CAR-OF-NTHCDR))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-62
 (9509 3 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (9502 2 (:DEFINITION COLLAPSE))
 (4022 4 (:DEFINITION COLLAPSE-THIS))
 (3936 60 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3688 96 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (3408 12 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (3030 26 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (2710 32 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (2116 2116 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (1834 86 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (1801 349 (:REWRITE DEFAULT-CDR))
 (1766 4 (:DEFINITION CTX-APP))
 (1546 38 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (1506 28 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (1342 4 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (1304 8 (:DEFINITION 1ST-COMPLETE))
 (1116 4 (:REWRITE CONSP-OF-NTHCDR))
 (808 16 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (800 12 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (758 40 (:REWRITE ZP-OPEN))
 (736 36 (:REWRITE NFIX-WHEN-ZP))
 (702 278 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (688 16 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (640 6 (:DEFINITION NTHCDR))
 (598 84 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (574 97 (:DEFINITION ASSOC-EQUAL))
 (536 8 (:DEFINITION ABS-ADDRS))
 (493 475 (:REWRITE DEFAULT-CAR))
 (488 168 (:REWRITE DEFAULT-<-2))
 (444 36 (:REWRITE NFIX-WHEN-NATP))
 (372 24 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (370 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (364 168 (:REWRITE DEFAULT-<-1))
 (336 8 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (280 280 (:LINEAR LEN-WHEN-PREFIXP))
 (244 244 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (228 6 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (222 222 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (184 184 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (180 16 (:DEFINITION ABS-ASSOC-DEFINITION))
 (178 84 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (166 16 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (150 84 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (138 12 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (138 12 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (128 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-95))
 (122 122 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (112 40 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (112 32 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (112 8 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (108 24 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (104 104 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (102 16 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (96 6 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (90 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-PARTIAL-COLLAPSE))
 (82 14 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (82 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (80 26 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (80 16 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (78 78 (:TYPE-PRESCRIPTION STRIP-CARS))
 (70 70 (:TYPE-PRESCRIPTION PREFIXP))
 (70 8 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (68 10 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (64 16 (:DEFINITION NFIX))
 (64 16 (:DEFINITION NATP))
 (64 8 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (64 8 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (58 4 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (56 12 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (54 54 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (52 26 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (49 49 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (48 48 (:TYPE-PRESCRIPTION M1-FILE-P))
 (48 48 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (48 48 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (48 48 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (48 12 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (48 8 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (48 8 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (48 8 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (44 44 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (40 10 (:REWRITE MEMBER-WHEN-ATOM))
 (39 39 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (36 36 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (36 8 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (32 32 (:TYPE-PRESCRIPTION NATP))
 (32 32 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (32 32 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (32 16 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (32 16 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (32 8 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (30 30 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (28 28 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (28 28 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (28 28 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (28 6 (:DEFINITION STRIP-CARS))
 (28 4 (:DEFINITION REMOVE-EQUAL))
 (24 24 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE))
 (24 24 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (24 8 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (24 6 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (22 22 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (22 18 (:REWRITE CONSP-OF-STRIP-CARS))
 (20 20 (:TYPE-PRESCRIPTION ABS-FS-P))
 (18 18 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (18 6 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (18 6 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (18 6 (:REWRITE COMMUTATIVITY-OF-+))
 (18 4 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (18 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (16 16 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (16 16 (:TYPE-PRESCRIPTION FILE-TABLE-P))
 (16 16 (:TYPE-PRESCRIPTION FD-TABLE-P))
 (16 16 (:TYPE-PRESCRIPTION DIR-STREAM-TABLE-P))
 (16 16 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (16 16 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (16 16 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (16 16 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (16 16 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (14 14 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (14 14 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (14 14 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (12 12 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (12 12 (:TYPE-PRESCRIPTION NFIX))
 (12 12 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (12 12 (:REWRITE DEFAULT-+-2))
 (12 12 (:REWRITE DEFAULT-+-1))
 (10 10 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (10 10 (:REWRITE SUBSETP-MEMBER . 3))
 (10 10 (:REWRITE INTERSECTP-MEMBER . 3))
 (10 10 (:REWRITE INTERSECTP-MEMBER . 2))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (8 8 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (8 4 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (8 2 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (6 6 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (4 4 (:TYPE-PRESCRIPTION DIRNAME))
 (4 4 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (4 4 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (4 4 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (4 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (4 4 (:DEFINITION ABS-PUT-ASSOC-DEFINITION))
 (4 2 (:REWRITE CONSP-OF-DIRNAME))
 (4 2 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (3 3 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (2 2 (:REWRITE CAR-OF-NTHCDR))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (2 2 (:REWRITE ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-3
 (1 1 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-63
 (90874 17 (:DEFINITION COLLAPSE))
 (38036 34 (:DEFINITION COLLAPSE-THIS))
 (37005 10 (:DEFINITION HIFAT-FIND-FILE))
 (36521 10 (:REWRITE ABS-SEPARATE-CORRECTNESS-2))
 (34229 528 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (32145 857 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (29627 106 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (26755 232 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (23930 286 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (20158 3959 (:REWRITE DEFAULT-CDR))
 (16180 763 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (16175 122 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-1 . 1))
 (15011 34 (:DEFINITION CTX-APP))
 (13726 335 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (13667 41 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (13481 250 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (12240 3 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (12233 2 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (12046 268 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (11691 100 (:DEFINITION ABS-ADDRS))
 (11368 318 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (10992 68 (:DEFINITION 1ST-COMPLETE))
 (9620 36 (:REWRITE CONSP-OF-NTHCDR))
 (7211 250 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (7036 533 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (7009 388 (:REWRITE ZP-OPEN))
 (6756 344 (:REWRITE NFIX-WHEN-ZP))
 (6224 2448 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6118 1013 (:DEFINITION ASSOC-EQUAL))
 (5884 5881 (:REWRITE DEFAULT-CAR))
 (5676 53 (:DEFINITION NTHCDR))
 (5161 745 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (4442 10 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (4304 1468 (:REWRITE DEFAULT-<-2))
 (4193 133 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-3))
 (4012 204 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (3558 12 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (3438 6 (:DEFINITION ABS-FIND-FILE-HELPER))
 (3344 622 (:DEFINITION STRIP-CARS))
 (3202 1468 (:REWRITE DEFAULT-<-1))
 (2856 68 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (2770 2770 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (2679 1 (:DEFINITION ABS-SEPARATE))
 (2466 2466 (:LINEAR LEN-WHEN-PREFIXP))
 (2377 2377 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (2343 1 (:DEFINITION DIST-NAMES))
 (2143 185 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (2054 344 (:REWRITE NFIX-WHEN-NATP))
 (2005 289 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1954 1954 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (1902 211 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (1848 586 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1806 56 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-2))
 (1710 114 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (1590 142 (:DEFINITION ABS-ASSOC-DEFINITION))
 (1543 744 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (1525 140 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1321 745 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1314 1314 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (1224 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (1158 141 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (1085 1085 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (1053 117 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (1028 448 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (787 17 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (766 3 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-6))
 (763 130 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (732 71 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (724 3 (:REWRITE ABS-SEPARATE-OF-FRAME-WITH-ROOT))
 (720 144 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (706 232 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (693 134 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (634 92 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (630 3 (:REWRITE ABS-SEPARATE-OF-PARTIAL-COLLAPSE))
 (623 623 (:TYPE-PRESCRIPTION PREFIXP))
 (598 598 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (598 598 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (590 501 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (586 586 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (580 93 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (556 556 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE))
 (533 533 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (502 502 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (501 501 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (478 100 (:DEFINITION NFIX))
 (464 232 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (445 445 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (426 108 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (424 106 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (408 408 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (408 68 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (398 398 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (394 100 (:DEFINITION NATP))
 (384 68 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (381 89 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (316 316 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (272 68 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (268 67 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (253 253 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (250 250 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (250 250 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (238 34 (:DEFINITION REMOVE-EQUAL))
 (215 36 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (204 204 (:TYPE-PRESCRIPTION NATP))
 (197 197 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (178 178 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (165 165 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (162 54 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (162 54 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (162 4 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (159 53 (:REWRITE COMMUTATIVITY-OF-+))
 (153 153 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (148 148 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (145 145 (:REWRITE FRAME-P-OF-PARTIAL-COLLAPSE))
 (144 144 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (141 36 (:REWRITE MEMBER-WHEN-ATOM))
 (140 140 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (119 119 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (106 106 (:TYPE-PRESCRIPTION NFIX))
 (106 106 (:REWRITE DEFAULT-+-2))
 (106 106 (:REWRITE DEFAULT-+-1))
 (102 102 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (92 92 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (80 4 (:DEFINITION FRAME-ADDRS-ROOT))
 (77 6 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (74 74 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (72 24 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (72 18 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (69 15 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (68 68 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (68 68 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (68 34 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (60 60 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (58 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (57 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-8))
 (56 56 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (53 53 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (53 53 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (51 51 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (50 2 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (48 48 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (45 2 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (44 2 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (41 2 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (40 40 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (39 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (36 36 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (36 36 (:REWRITE SUBSETP-MEMBER . 3))
 (36 36 (:REWRITE INTERSECTP-MEMBER . 3))
 (36 36 (:REWRITE INTERSECTP-MEMBER . 2))
 (34 34 (:DEFINITION ABS-PUT-ASSOC-DEFINITION))
 (32 32 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (30 30 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (28 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (26 6 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (24 24 (:TYPE-PRESCRIPTION NAMES-AT))
 (24 6 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (20 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (18 18 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (18 18 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (18 9 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-12))
 (17 17 (:REWRITE CAR-OF-NTHCDR))
 (17 17 (:REWRITE ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 (16 16 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (16 4 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (16 4 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (13 13 (:TYPE-PRESCRIPTION STRIP-CARS))
 (12 12 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (10 10 (:REWRITE ABS-FS-P-OF-COLLAPSE))
 (9 9 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (9 9 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (9 9 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (9 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-10))
 (8 8 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (6 6 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (6 6 (:REWRITE SUBSETP-TRANS2))
 (6 6 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-6))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-79))
 (6 4 (:REWRITE CONSP-OF-STRIP-CARS))
 (6 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4 4 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-3))
 (4 4 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (3 3 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (3 3 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-8))
 (2 2 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 1))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE ABS-NO-DUPS-P-OF-FRAME-VAL->DIR))
 )
(ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-12
 (660 22 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (418 11 (:DEFINITION PUT-ASSOC-EQUAL))
 (383 1 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (380 124 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (344 14 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (328 22 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (313 7 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (264 6 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (228 6 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (223 19 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (210 23 (:DEFINITION ASSOC-EQUAL))
 (133 34 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (128 105 (:REWRITE DEFAULT-CAR))
 (125 18 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (121 11 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (115 7 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (110 34 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (97 14 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (91 91 (:TYPE-PRESCRIPTION M1-FILE-P))
 (90 90 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (88 11 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (74 68 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (73 13 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (67 54 (:REWRITE DEFAULT-CDR))
 (66 66 (:TYPE-PRESCRIPTION ZP))
 (66 66 (:TYPE-PRESCRIPTION LEN))
 (66 20 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (66 11 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (53 7 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (51 23 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (51 21 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (46 46 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (41 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (40 22 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (40 7 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (37 22 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (37 8 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (33 11 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (33 11 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (30 6 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (30 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (29 7 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (29 7 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (23 23 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (23 23 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (23 23 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (23 23 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (22 22 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (22 22 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (22 22 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (22 22 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (21 21 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (14 14 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (14 14 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (12 12 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (8 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6 6 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (1 1 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (1 1 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (1 1 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (1 1 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 )
(ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-4
 (37414 520 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (35561 231 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (30821 145 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (23817 1310 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (13198 414 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (12047 1365 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (10853 1 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (10044 235 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (8604 207 (:DEFINITION PUT-ASSOC-EQUAL))
 (7009 1896 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (6809 30 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (6402 255 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (6204 511 (:DEFINITION ASSOC-EQUAL))
 (5818 328 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (5085 502 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (5073 369 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (4774 125 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (4308 663 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (3724 99 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (3460 2283 (:REWRITE DEFAULT-CAR))
 (3333 1 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (3306 813 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (3306 4 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (3050 4 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 2))
 (2937 813 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (2897 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (2454 685 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (2453 1627 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2097 1018 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1882 293 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (1824 335 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1684 328 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1619 407 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1598 1231 (:REWRITE DEFAULT-CDR))
 (1596 377 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1556 1229 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1526 29 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1457 80 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (1394 572 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1201 261 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1142 1142 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1139 225 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (1043 204 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1018 1018 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1006 57 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (984 984 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (758 758 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (557 10 (:REWRITE EQUAL-OF-ABS-FILE))
 (510 510 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (510 510 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (502 460 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (461 24 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (460 460 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (451 451 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (450 450 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (448 8 (:DEFINITION UNSIGNED-BYTE-P))
 (440 8 (:DEFINITION INTEGER-RANGE-P))
 (435 435 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (407 407 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (400 88 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (354 29 (:REWRITE ABS-FILE->CONTENTS$INLINE-OF-ABS-FILE-FIX-X))
 (325 26 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (324 25 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (258 35 (:REWRITE NFIX-WHEN-ZP))
 (258 25 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (256 16 (:REWRITE LENGTH-WHEN-STRINGP))
 (236 4 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 1))
 (182 35 (:REWRITE ZP-OPEN))
 (175 50 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (172 140 (:REWRITE DEFAULT-<-1))
 (168 8 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (157 12 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (140 140 (:REWRITE DEFAULT-<-2))
 (136 136 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (128 16 (:DEFINITION LEN))
 (111 99 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (97 11 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (90 90 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (87 29 (:DEFINITION NFIX))
 (81 81 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (75 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (64 16 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (58 58 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (52 4 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (48 16 (:REWRITE DEFAULT-+-2))
 (42 42 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (36 36 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (33 33 (:TYPE-PRESCRIPTION NATP))
 (33 33 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (33 33 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (32 16 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (30 10 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (29 29 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (29 29 (:REWRITE ABS-FILE->D-E$INLINE-OF-ABS-FILE-FIX-X))
 (28 4 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (27 4 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (25 25 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (18 18 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (16 16 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (16 16 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (16 16 (:REWRITE DEFAULT-+-1))
 (16 16 (:LINEAR LEN-WHEN-PREFIXP))
 (16 16 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (16 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (16 1 (:REWRITE MEMBER-WHEN-ATOM))
 (15 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (12 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (12 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (12 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (10 10 (:TYPE-PRESCRIPTION D-E-P))
 (10 10 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (10 10 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (8 8 (:TYPE-PRESCRIPTION ABSFAT-EQUIV))
 (8 8 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (4 4 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (3 3 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE ABS-FS-P-OF-ABS-ALLOC-1))
 (1 1 (:TYPE-PRESCRIPTION NFIX))
 (1 1 (:REWRITE SUBSETP-MEMBER . 4))
 (1 1 (:REWRITE SUBSETP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-73))
 (1 1 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 )
(ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-23
 (2376 8 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (2036 54 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1568 26 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (1330 14 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (1138 36 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (1070 30 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (946 24 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (736 36 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (696 48 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (562 124 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (512 6 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (464 36 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (350 6 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (336 108 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (324 30 (:DEFINITION ASSOC-EQUAL))
 (306 24 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (298 298 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (292 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (284 72 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (274 36 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (202 24 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (190 124 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (184 184 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (142 36 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (136 6 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (124 124 (:TYPE-PRESCRIPTION ZP))
 (124 124 (:TYPE-PRESCRIPTION LEN))
 (120 24 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (112 20 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (108 108 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (108 108 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (102 102 (:REWRITE DEFAULT-CDR))
 (102 54 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (100 100 (:REWRITE DEFAULT-CAR))
 (92 26 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (92 6 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (84 84 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (74 6 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (72 72 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (68 26 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (60 60 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (56 6 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (52 52 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (50 50 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (50 10 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (44 44 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (38 14 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (28 28 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (24 24 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (24 24 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (24 24 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (22 22 (:REWRITE ABS-NO-DUPS-P-OF-FRAME->ROOT))
 (22 22 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (22 22 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (19 19 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (14 14 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (14 14 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (12 12 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (12 2 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (10 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (8 8 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (6 6 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (6 6 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (6 6 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (6 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (6 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (6 2 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (2 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-79))
 )
(ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-5
 (18733 425 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (13057 192 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (11621 431 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (9870 128 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (6644 64 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (3399 197 (:REWRITE LEN-WHEN-PREFIXP))
 (3269 442 (:DEFINITION LEN))
 (2446 194 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (1574 128 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (1343 1343 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (1326 442 (:REWRITE DEFAULT-+-2))
 (1278 614 (:LINEAR LEN-WHEN-PREFIXP))
 (1239 1239 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (910 303 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (835 427 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (776 425 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (726 218 (:REWRITE DEFAULT-<-2))
 (726 218 (:REWRITE DEFAULT-<-1))
 (629 629 (:REWRITE DEFAULT-CDR))
 (614 614 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (578 48 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (563 422 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (563 422 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (442 442 (:REWRITE DEFAULT-+-1))
 (438 427 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (425 78 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (416 416 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (366 183 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (344 76 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (268 268 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (263 128 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (262 84 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (239 239 (:REWRITE DEFAULT-CAR))
 (234 234 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (163 13 (:REWRITE NFIX-WHEN-ZP))
 (156 28 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (156 28 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (151 151 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (136 52 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (128 128 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (128 128 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (120 13 (:REWRITE ZP-OPEN))
 (117 117 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (106 4 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (100 50 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (84 84 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (68 13 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (64 64 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (56 56 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (56 28 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (47 47 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (46 2 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (42 42 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (39 39 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-PATH-CLEAR-OF-PREFIX))
 (32 6 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (26 11 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (26 11 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (24 2 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (20 6 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (18 4 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (17 17 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (16 4 (:REWRITE DIR-STREAM-TABLE-P-OF-CDR-WHEN-DIR-STREAM-TABLE-P))
 (12 6 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (8 8 (:TYPE-PRESCRIPTION ABS-FS-P))
 (6 6 (:REWRITE SUBSETP-TRANS2))
 (6 6 (:REWRITE SUBSETP-TRANS))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (4 4 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-6
 (2901 723 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (470 59 (:DEFINITION ASSOC-EQUAL))
 (434 124 (:REWRITE DEFAULT-CDR))
 (273 13 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (270 10 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (227 202 (:REWRITE DEFAULT-CAR))
 (156 12 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (140 5 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (125 5 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (118 118 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (116 2 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (85 10 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (83 1 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (74 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (70 5 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (57 3 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (55 5 (:REWRITE SUBSETP-CAR-MEMBER))
 (55 5 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (52 52 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (50 3 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (47 11 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (41 41 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (41 41 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (41 41 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (37 3 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (35 5 (:DEFINITION NATP))
 (25 5 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (25 1 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (22 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (21 21 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (20 5 (:REWRITE MEMBER-WHEN-ATOM))
 (20 5 (:DEFINITION STRIP-CARS))
 (19 9 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (19 5 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (18 12 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (18 6 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (16 13 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (16 2 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (15 2 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (13 13 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (10 10 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (10 10 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (10 10 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (10 5 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (10 5 (:REWRITE SET-EQUIV-ASYM))
 (10 5 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (9 9 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (9 7 (:REWRITE DEFAULT-<-2))
 (8 8 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (7 7 (:REWRITE DEFAULT-<-1))
 (7 1 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (6 6 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (6 6 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (6 2 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (6 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (5 5 (:TYPE-PRESCRIPTION SET-EQUIV))
 (5 5 (:REWRITE SUBSETP-OF-CDR))
 (5 5 (:REWRITE SUBSETP-MEMBER . 4))
 (5 5 (:REWRITE SUBSETP-MEMBER . 3))
 (5 5 (:REWRITE SUBSETP-MEMBER . 2))
 (5 5 (:REWRITE SUBSETP-MEMBER . 1))
 (5 5 (:REWRITE INTERSECTP-MEMBER . 3))
 (5 5 (:REWRITE INTERSECTP-MEMBER . 2))
 (5 5 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (5 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (2 2 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (2 2 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2 2 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (2 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (2 2 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (2 1 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (1 1 (:REWRITE SUBSETP-TRANS2))
 (1 1 (:REWRITE SUBSETP-TRANS))
 (1 1 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (1 1 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1 1 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1 1 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 )
(ABS-FIND-FILE-AFTER-ABS-MKDIR-2
 (2047260 1021 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (2021421 6664 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1972966 2024 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (1642183 609 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (1497386 32669 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (1124818 16128 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (1090796 33207 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1023783 18240 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (914116 122556 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (792792 28296 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (645154 1060 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (627042 12096 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (611514 32400 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (508513 4597 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (412907 141033 (:REWRITE DEFAULT-+-2))
 (324062 40 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-2))
 (285767 355 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (256494 121 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-73))
 (256097 192676 (:REWRITE DEFAULT-CDR))
 (253591 11578 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (175508 22248 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (146990 2577 (:REWRITE PREFIXP-OF-CONS-LEFT))
 (141033 141033 (:REWRITE DEFAULT-+-1))
 (138977 49142 (:REWRITE DEFAULT-<-2))
 (135831 8252 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (126590 126590 (:LINEAR LEN-WHEN-PREFIXP))
 (108213 9890 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (108120 2040 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (99034 19028 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (96670 49142 (:REWRITE DEFAULT-<-1))
 (93932 25 (:REWRITE EQUAL-OF-FRAME-VAL))
 (88665 5108 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (84876 2605 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (81998 2124 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (81911 43 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (71051 526 (:DEFINITION NAT-EQUIV$INLINE))
 (68949 68949 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (65824 4114 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (52158 52158 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (50747 15039 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (49920 17683 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (49892 23921 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (47230 15897 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (40571 22248 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (39626 21344 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (36834 36834 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (32669 32669 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (32669 32669 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (32669 32669 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (32669 32669 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (31478 8155 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (30585 6117 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (26963 11550 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (26254 1322 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (25590 290 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (22440 2040 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (22246 10103 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (22177 10103 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (22159 91 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (19637 19637 (:TYPE-PRESCRIPTION STRIP-CARS))
 (18566 16860 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (18362 16860 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (18216 18216 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (16926 16926 (:REWRITE SUBSETP-TRANS2))
 (16926 16926 (:REWRITE SUBSETP-TRANS))
 (16637 49 (:REWRITE FIND-NEW-INDEX-CORRECTNESS-1))
 (16356 1 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-1))
 (15896 15896 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (15872 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-18))
 (15742 7576 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (15720 5018 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (15380 91 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (15368 1118 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (15317 268 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (14603 49 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (12770 2554 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (12215 3531 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (12140 6059 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (11231 1021 (:REWRITE SUBSETP-CAR-MEMBER))
 (10343 5018 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (10120 1012 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (10056 10056 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (9933 187 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (9284 4642 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (9068 51 (:REWRITE SUBSETP-CONS-2))
 (8974 42 (:REWRITE SUBSETP-OF-CONS))
 (8805 1904 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (8404 1160 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (8096 1012 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (7725 2554 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (7576 7576 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (7549 7549 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (7333 1083 (:DEFINITION NATP))
 (6284 51 (:REWRITE MEMBER-OF-STRIP-CARS))
 (6148 6148 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-PATH-CLEAR-OF-PREFIX))
 (6120 6120 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (6120 2040 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (6071 6071 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (4567 1053 (:REWRITE MEMBER-WHEN-ATOM))
 (4447 242 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (4385 1900 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (4264 91 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (4126 4126 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (4080 4080 (:TYPE-PRESCRIPTION 1ST-COMPLETE-UNDER-PATH-CORRECTNESS-1))
 (4080 2040 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (3591 90 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (3531 3531 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3531 3219 (:REWRITE CONSP-OF-STRIP-CARS))
 (2941 17 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (2804 99 (:REWRITE CTX-APP-OK-OF-CTX-APP-LIST-SEQ-LEMMA-1))
 (2625 2625 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2608 2608 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (2554 2554 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (2360 2360 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (2218 62 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (2116 34 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (2093 69 (:REWRITE VALID-SEQP-WHEN-PREFIXP))
 (2042 1021 (:REWRITE SET-EQUIV-ASYM))
 (2040 2040 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (2040 2040 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (2040 2040 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (1838 99 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 1))
 (1820 70 (:REWRITE STRIP-CARS-OF-PUT-ASSOC))
 (1722 12 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (1600 165 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (1591 319 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1569 1569 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (1434 54 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-42))
 (1420 1420 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (1420 355 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (1400 8 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-2))
 (1273 1078 (:REWRITE SUBSETP-MEMBER . 3))
 (1126 1126 (:REWRITE SUBSETP-MEMBER . 2))
 (1126 1126 (:REWRITE SUBSETP-MEMBER . 1))
 (1122 64 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (1120 16 (:REWRITE ABS-ADDRS-OF-TRUE-LIST-FIX))
 (1118 185 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (1118 86 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (1116 62 (:DEFINITION UNSIGNED-BYTE-P))
 (1104 18 (:REWRITE MEMBER-OF-CONS))
 (1078 1078 (:REWRITE SUBSETP-MEMBER . 4))
 (1078 1078 (:REWRITE INTERSECTP-MEMBER . 3))
 (1078 1078 (:REWRITE INTERSECTP-MEMBER . 2))
 (1054 62 (:DEFINITION INTEGER-RANGE-P))
 (1045 1045 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1021 1021 (:REWRITE SUBSETP-OF-CDR))
 (1014 6 (:REWRITE SET-EQUIV-OF-CONS-SELF))
 (992 62 (:REWRITE LENGTH-WHEN-STRINGP))
 (991 32 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (969 54 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (959 28 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (915 3 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-LEMMA-2))
 (912 51 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (816 28 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (808 808 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (741 57 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (710 710 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (702 27 (:REWRITE FRAME-P-OF-CONS))
 (661 661 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (620 62 (:DEFINITION ALISTP))
 (609 51 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-11))
 (587 22 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (579 579 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (558 558 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (526 526 (:TYPE-PRESCRIPTION NAT-EQUIV$INLINE))
 (507 507 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (496 124 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (474 138 (:TYPE-PRESCRIPTION FINAL-VAL-SEQ-OF-COLLAPSE-THIS-LEMMA-7))
 (426 58 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (422 3 (:REWRITE EQUAL-OF-ABS-FILE))
 (414 27 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (402 78 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (390 26 (:DEFINITION TRUE-LISTP))
 (382 382 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (373 373 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (372 62 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (372 33 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (360 55 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (350 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-3))
 (343 7 (:REWRITE ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-9))
 (340 340 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (302 16 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (282 282 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (281 28 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (280 6 (:REWRITE M1-FILE-P-OF-ABS-FILE))
 (276 16 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (248 248 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (247 52 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (228 6 (:REWRITE FRAME-P-OF-FRAME-WITH-ROOT))
 (220 1 (:REWRITE CONSP-OF-APPEND))
 (219 219 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (219 9 (:REWRITE MEMBER-OF-ABS-TOP-ADDRS))
 (216 9 (:REWRITE CONSP-OF-NTHCDR))
 (205 205 (:TYPE-PRESCRIPTION D-E-P))
 (199 53 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (186 62 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (182 13 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-6))
 (168 6 (:REWRITE SUBSETP-CONS-SAME))
 (168 6 (:REWRITE HIFAT-OPENDIR-CORRECTNESS-LEMMA-2))
 (164 164 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (162 6 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (157 157 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (146 146 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (138 138 (:TYPE-PRESCRIPTION VALID-SEQP))
 (136 136 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (130 130 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (130 52 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (124 124 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (124 62 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (124 62 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (115 7 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (111 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (108 108 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (106 106 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (98 68 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (91 13 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (88 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-47 . 2))
 (85 3 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (78 78 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (78 39 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (72 18 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (72 1 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (62 62 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (61 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (59 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (56 56 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (56 56 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (56 56 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (56 28 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (55 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-10))
 (54 54 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (52 52 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (51 51 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (51 51 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 (48 6 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (48 2 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (40 40 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-8))
 (39 39 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (39 39 (:REWRITE SET::IN-SET))
 (39 27 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (38 38 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (38 7 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (32 32 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (32 32 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (28 28 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (28 7 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (24 24 (:REWRITE SUBSETP-REFL))
 (19 19 (:TYPE-PRESCRIPTION FRAME-WITH-ROOT))
 (19 1 (:DEFINITION ATOM))
 (17 1 (:REWRITE SET-DIFFERENCE$-WHEN-NOT-INTERSECTP))
 (16 16 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (15 12 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (15 1 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (14 1 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (13 13 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (13 13 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (12 12 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-31))
 (10 1 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (9 9 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (9 3 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (9 1 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (8 8 (:REWRITE ABS-NO-DUPS-P-OF-FRAME-VAL->DIR))
 (7 7 (:TYPE-PRESCRIPTION FRAME-WITH-ROOT-CORRECTNESS-1))
 (6 6 (:REWRITE ABS-NO-DUPS-P-OF-FRAME->ROOT))
 (6 6 (:REWRITE ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 (3 3 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (1 1 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (1 1 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (1 1 (:TYPE-PRESCRIPTION ATOM))
 (1 1 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (1 1 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 )
(ABS-LSTAT-AFTER-ABS-MKDIR-1
 (548281 71 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (545429 3079 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (510637 3392 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (506050 4952 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (451183 3079 (:REWRITE LEN-WHEN-PREFIXP))
 (407496 46 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (353642 3154 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (351115 4783 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (321357 1853 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (222322 163 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (197481 8639 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (193313 7 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-LEMMA-2))
 (191524 66 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (174494 5 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (154206 27437 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (133402 9809 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (121388 26827 (:REWRITE DEFAULT-CDR))
 (92150 20 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-73))
 (91984 99 (:REWRITE CONSP-OF-NTHCDR))
 (77414 13264 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (73007 230 (:LINEAR PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9))
 (71153 38 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9 . 2))
 (52826 95 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (50194 1545 (:DEFINITION STRIP-CARS))
 (47967 2534 (:REWRITE NFIX-WHEN-ZP))
 (43288 16278 (:REWRITE DEFAULT-+-2))
 (36914 360 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (35102 170 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (30447 30447 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (29307 188 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (28982 16575 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (26636 14 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (24926 681 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (24729 27 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (21092 16575 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (19431 787 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (19213 38 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (19168 47 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (17201 17201 (:REWRITE SUBSETP-TRANS2))
 (17201 17201 (:REWRITE SUBSETP-TRANS))
 (16694 5659 (:REWRITE DEFAULT-<-2))
 (16278 16278 (:REWRITE DEFAULT-+-1))
 (15657 163 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (15549 5659 (:REWRITE DEFAULT-<-1))
 (14194 3600 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (13478 13478 (:LINEAR LEN-WHEN-PREFIXP))
 (13224 293 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (12650 426 (:DEFINITION NATP))
 (12176 87 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (11118 616 (:DEFINITION NFIX))
 (11033 448 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (10302 131 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (9944 351 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (9935 4783 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (9585 353 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (8912 340 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (7944 47 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (7350 448 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (6601 1887 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (6360 3401 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (6302 244 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (5762 2881 (:REWRITE SET-EQUIV-ASYM))
 (5386 92 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (5252 5234 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (5118 5118 (:REWRITE SUBSETP-OF-CDR))
 (4998 87 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (4888 4783 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (4871 12 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (4418 255 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (3947 541 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (3932 2888 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (3895 598 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3808 6 (:REWRITE ABS-FIND-FILE-HELPER-OF-FAT32-FILENAME-LIST-FIX))
 (3720 248 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (3651 8 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (3630 242 (:DEFINITION TRUE-LISTP))
 (3604 3604 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (3604 3604 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (3604 3604 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (3604 3604 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (3551 930 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (3299 98 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (3098 87 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (2952 350 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (2881 2881 (:TYPE-PRESCRIPTION SET-EQUIV))
 (2867 7 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (2740 320 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (2672 2672 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (2527 129 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (2299 484 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (2238 155 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (2231 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (2111 16 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (2059 279 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (2026 16 (:REWRITE FIND-NEW-INDEX-CORRECTNESS-1))
 (2015 1131 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1972 1972 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (1967 46 (:DEFINITION PUT-ASSOC-EQUAL))
 (1948 1948 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (1944 486 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (1846 1846 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (1675 24 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (1580 18 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (1562 50 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1524 673 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1502 7 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (1484 32 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (1410 38 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (1376 430 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1376 372 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1289 98 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (1278 338 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1230 98 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (1210 1210 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (1210 484 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (1182 80 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1144 320 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (1131 1131 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1112 79 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (1088 6 (:REWRITE MEMBER-OF-STRIP-CARS))
 (1072 36 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (1063 338 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1058 6 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 1))
 (972 972 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (958 87 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (955 32 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (932 466 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (931 931 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (857 203 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (824 2 (:REWRITE ABS-MKDIR-GUARD-LEMMA-1))
 (779 779 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (747 54 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (737 737 (:TYPE-PRESCRIPTION D-E-P))
 (726 726 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (726 363 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (716 44 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (698 698 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (691 691 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (688 688 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (688 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-18))
 (671 11 (:REWRITE EQUAL-OF-ABS-FILE))
 (632 12 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (628 628 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (626 626 (:REWRITE SUBSETP-REFL))
 (595 85 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (574 574 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (569 203 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (565 565 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (551 119 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (547 3 (:REWRITE EQUAL-OF-FRAME-VAL))
 (539 11 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (535 4 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (518 518 (:TYPE-PRESCRIPTION STRIP-CARS))
 (484 484 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (480 96 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (475 475 (:REWRITE CONSP-OF-LIST-FIX))
 (444 444 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (440 197 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (436 7 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (434 434 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (432 432 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (429 11 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (410 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-2))
 (396 396 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (396 396 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (394 6 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (392 5 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (382 22 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (363 363 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (363 363 (:REWRITE SET::IN-SET))
 (345 87 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (320 320 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (284 284 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (280 14 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-4))
 (255 255 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (250 33 (:REWRITE MEMBER-WHEN-ATOM))
 (232 6 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-ALLOC-1))
 (204 104 (:REWRITE CONSP-OF-STRIP-CARS))
 (198 18 (:REWRITE SUBSETP-CAR-MEMBER))
 (194 194 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (187 3 (:REWRITE MEMBER-OF-CONS))
 (185 13 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (182 14 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (180 20 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (175 7 (:REWRITE STRIP-CARS-OF-PUT-ASSOC))
 (174 174 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (172 8 (:REWRITE FRAME-P-OF-CONS))
 (170 170 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (170 170 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (170 170 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (148 42 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (146 14 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (142 4 (:REWRITE CTX-APP-OK-OF-CTX-APP-LIST-SEQ-LEMMA-1))
 (136 6 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (132 42 (:REWRITE SUBSETP-MEMBER . 3))
 (120 120 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (112 14 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (110 4 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 1))
 (108 108 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (106 18 (:REWRITE FRAME-P-OF-FRAME-WITH-ROOT))
 (106 4 (:REWRITE VALID-SEQP-WHEN-PREFIXP))
 (105 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-42))
 (102 19 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (93 93 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (88 88 (:TYPE-PRESCRIPTION FRAME-VAL))
 (87 87 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (87 87 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (84 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-6))
 (76 6 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (76 3 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (66 22 (:REWRITE COMMUTATIVITY-OF-+))
 (66 11 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (64 64 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (63 14 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (58 8 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (53 7 (:REWRITE SET-DIFFERENCE$-WHEN-NOT-INTERSECTP))
 (52 52 (:REWRITE ABS-NO-DUPS-P-OF-FRAME-VAL->DIR))
 (51 51 (:REWRITE SUBSETP-MEMBER . 2))
 (51 51 (:REWRITE SUBSETP-MEMBER . 1))
 (48 48 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (47 47 (:REWRITE ABS-NO-DUPS-P-OF-FRAME->ROOT))
 (47 7 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (45 7 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (42 42 (:REWRITE SUBSETP-MEMBER . 4))
 (42 42 (:REWRITE INTERSECTP-MEMBER . 3))
 (42 42 (:REWRITE INTERSECTP-MEMBER . 2))
 (42 6 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (37 37 (:REWRITE CAR-OF-NTHCDR))
 (36 4 (:REWRITE ABS-SEPARATE-CORRECTNESS-2))
 (33 33 (:TYPE-PRESCRIPTION ABS-FILE))
 (33 11 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (32 8 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (31 31 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (30 30 (:TYPE-PRESCRIPTION FRAME-WITH-ROOT-CORRECTNESS-1))
 (30 30 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (28 7 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (28 4 (:REWRITE FRAME-P-OF-PUT-ASSOC))
 (24 8 (:TYPE-PRESCRIPTION FINAL-VAL-SEQ-OF-COLLAPSE-THIS-LEMMA-7))
 (22 22 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (22 11 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (20 20 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (19 19 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (18 18 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (16 16 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (14 14 (:TYPE-PRESCRIPTION NULL))
 (14 14 (:TYPE-PRESCRIPTION ATOM))
 (14 14 (:DEFINITION NULL))
 (12 12 (:REWRITE FRAME-VAL-P-OF-FRAME-VAL))
 (12 4 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (11 11 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (11 11 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (11 11 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (11 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-130))
 (10 10 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (10 10 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (10 10 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-79))
 (8 8 (:TYPE-PRESCRIPTION VALID-SEQP))
 (8 8 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (8 8 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (8 4 (:REWRITE ABS-SEPARATE-OF-PARTIAL-COLLAPSE-LEMMA-2))
 (7 7 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (7 7 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (6 6 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (6 6 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-8))
 (6 6 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (4 4 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE ABS-FS-P-OF-COLLAPSE))
 (3 3 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (2 2 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE))
 (2 2 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (1 1 (:REWRITE NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 )
(ABS-LSTAT-AFTER-ABS-MKDIR-2
 (205280 52 (:DEFINITION ABS-FIND-FILE-HELPER))
 (195287 3 (:DEFINITION ABS-FIND-FILE))
 (166476 28 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (136690 694 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (134642 9 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (132907 1205 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (131152 897 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (127445 694 (:REWRITE LEN-WHEN-PREFIXP))
 (117988 1217 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (106711 901 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (92463 1203 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (91416 382 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (86048 901 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (76974 697 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (76665 108 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (67801 1 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (67307 49 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (64125 3 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-LEMMA-2))
 (54438 652 (:REWRITE LEN-OF-DIRNAME))
 (41020 1937 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (38000 4226 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (28957 801 (:REWRITE NFIX-WHEN-ZP))
 (28548 1914 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (22630 2633 (:DEFINITION LEN))
 (21642 42 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (19928 7841 (:REWRITE DEFAULT-CDR))
 (19657 53 (:LINEAR PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9))
 (15851 31 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (14249 109 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (13232 225 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (12802 446 (:DEFINITION NATP))
 (11946 106 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (11418 11418 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (11118 616 (:DEFINITION NFIX))
 (11008 2074 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (10933 18 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (10523 108 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (10513 3371 (:REWRITE DEFAULT-+-2))
 (10476 40 (:REWRITE CONSP-OF-NTHCDR))
 (8982 108 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (8877 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-73))
 (8324 3070 (:REWRITE DEFAULT-<-2))
 (8228 3070 (:REWRITE DEFAULT-<-1))
 (8142 2037 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (7483 9 (:DEFINITION NTHCDR))
 (7356 53 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (7021 106 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (6770 4212 (:REWRITE DEFAULT-CAR))
 (6469 54 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (5000 212 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (4675 172 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (4541 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9 . 2))
 (4406 18 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (4238 4238 (:LINEAR LEN-WHEN-PREFIXP))
 (4207 18 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (3745 213 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (3588 6 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (3556 3 (:DEFINITION NAT-EQUIV$INLINE))
 (3433 159 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (3371 3371 (:REWRITE DEFAULT-+-1))
 (3336 53 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (3295 3295 (:TYPE-PRESCRIPTION PREFIXP))
 (3171 3171 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (3106 2074 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2970 4 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (2951 86 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (2830 1203 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (2784 493 (:DEFINITION STRIP-CARS))
 (2491 897 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (2421 650 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (2392 897 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (2335 2335 (:REWRITE SUBSETP-TRANS))
 (2123 53 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (2088 1044 (:REWRITE SET-EQUIV-ASYM))
 (1986 129 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1919 12 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (1917 22 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (1830 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-33))
 (1803 1803 (:REWRITE SUBSETP-OF-CDR))
 (1774 306 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1753 60 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (1736 41 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (1606 1572 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1595 47 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (1558 61 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (1427 57 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (1378 223 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1248 1203 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (1173 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (1167 573 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (1050 1050 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1038 56 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1037 456 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1002 54 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (995 2 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (926 132 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (915 61 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (911 467 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (901 901 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (901 901 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (901 901 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (901 901 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (878 110 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (712 129 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (678 231 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (667 231 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (646 46 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (634 634 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (584 54 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (544 136 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (477 477 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (464 464 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (464 464 (:REWRITE FAT32-FILENAME-LIST-P-OF-DIRNAME))
 (451 41 (:REWRITE SUBSETP-CAR-MEMBER))
 (424 53 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (405 2 (:REWRITE EQUAL-OF-FRAME-VAL))
 (388 388 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (379 379 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (374 374 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (371 371 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (371 53 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (326 66 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (320 43 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (290 290 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (282 2 (:REWRITE FIND-NEW-INDEX-CORRECTNESS-1))
 (276 12 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (272 272 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (270 54 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (245 6 (:DEFINITION PUT-ASSOC-EQUAL))
 (238 34 (:REWRITE FOLD-CONSTS-IN-+))
 (236 236 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (226 58 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (222 46 (:REWRITE MEMBER-WHEN-ATOM))
 (215 62 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (175 175 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (167 23 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (164 164 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (162 162 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (162 162 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (162 162 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (159 159 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (156 32 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (150 150 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (150 6 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (136 8 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (136 1 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (125 125 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (125 125 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (114 114 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (112 2 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (108 54 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (106 106 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (106 106 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (106 106 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (106 106 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (102 34 (:REWRITE UNICITY-OF-0))
 (102 6 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (98 6 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (94 94 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (90 90 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (88 88 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (86 9 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (85 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (81 81 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (68 34 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (66 66 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (62 62 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (61 1 (:REWRITE EQUAL-OF-ABS-FILE))
 (53 53 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (53 2 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (51 3 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (49 49 (:REWRITE SUBSETP-MEMBER . 2))
 (49 49 (:REWRITE SUBSETP-MEMBER . 1))
 (49 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (49 1 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (48 6 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (46 46 (:REWRITE SUBSETP-MEMBER . 4))
 (46 46 (:REWRITE SUBSETP-MEMBER . 3))
 (46 46 (:REWRITE INTERSECTP-MEMBER . 3))
 (46 46 (:REWRITE INTERSECTP-MEMBER . 2))
 (46 37 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (45 3 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (39 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (28 28 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (28 28 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (28 28 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (28 28 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (27 9 (:REWRITE COMMUTATIVITY-OF-+))
 (22 22 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (22 22 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (21 21 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (19 19 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (17 17 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (15 1 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (14 14 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (12 12 (:TYPE-PRESCRIPTION FRAME-VAL))
 (12 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (11 11 (:REWRITE CAR-OF-NTHCDR))
 (10 10 (:REWRITE ABS-NO-DUPS-P-OF-FRAME-VAL->DIR))
 (10 4 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (10 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-130))
 (8 8 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (6 6 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (6 1 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (4 4 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (3 3 (:TYPE-PRESCRIPTION NAT-EQUIV$INLINE))
 (3 3 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (3 3 (:TYPE-PRESCRIPTION ABS-FILE))
 (3 3 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (3 1 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (2 2 (:TYPE-PRESCRIPTION ATOM))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (2 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (1 1 (:TYPE-PRESCRIPTION D-E-P))
 (1 1 (:REWRITE NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 )
(ABS-MKNOD
 (5124 8 (:DEFINITION ABS-FIND-FILE-HELPER))
 (4089 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-32))
 (2811 66 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2610 8 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (1501 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (1498 48 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1446 525 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1440 16 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (1367 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (1192 24 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (1128 8 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (1114 66 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1106 14 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1095 6 (:REWRITE CONSP-OF-NTHCDR))
 (1056 6 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (1005 17 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (979 102 (:DEFINITION ASSOC-EQUAL))
 (962 35 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (959 11 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (893 19 (:LINEAR PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9))
 (837 21 (:REWRITE NFIX-WHEN-ZP))
 (832 16 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (794 414 (:REWRITE DEFAULT-CDR))
 (761 1 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (736 32 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (667 35 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (621 621 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (600 51 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (578 30 (:REWRITE SUBSETP-CAR-MEMBER))
 (547 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (544 8 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (533 1 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (521 2 (:DEFINITION NTHCDR))
 (520 24 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (499 180 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (496 16 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (489 6 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (483 102 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (476 405 (:REWRITE DEFAULT-CAR))
 (449 72 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (432 8 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (407 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-18))
 (377 49 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (341 6 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (336 24 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (307 8 (:REWRITE LEN-OF-DIRNAME))
 (294 34 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-8))
 (289 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (272 8 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (213 12 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (212 212 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (210 36 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (208 8 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (200 34 (:DEFINITION STRIP-CARS))
 (192 2 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-ALLOC-1))
 (180 180 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (171 9 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (168 66 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (166 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-73))
 (162 63 (:REWRITE DEFAULT-<-2))
 (160 56 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (158 1 (:REWRITE FIND-NEW-INDEX-CORRECTNESS-1))
 (157 56 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (150 3 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 1))
 (149 3 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (142 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (140 3 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (128 8 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (123 3 (:DEFINITION PUT-ASSOC-EQUAL))
 (118 15 (:DEFINITION LEN))
 (112 3 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (112 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-42))
 (111 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-4))
 (108 1 (:REWRITE ABS-SEPARATE-OF-PARTIAL-COLLAPSE))
 (99 63 (:REWRITE DEFAULT-<-1))
 (97 97 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (97 36 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (92 21 (:REWRITE NFIX-WHEN-NATP))
 (88 8 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (82 1 (:REWRITE EQUAL-OF-FRAME-VAL))
 (78 12 (:DEFINITION NATP))
 (76 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (73 73 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (72 26 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-8))
 (71 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (70 1 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (68 27 (:REWRITE DEFAULT-+-2))
 (64 8 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (62 11 (:REWRITE MEMBER-WHEN-ATOM))
 (60 60 (:REWRITE SUBSETP-TRANS2))
 (60 60 (:REWRITE SUBSETP-TRANS))
 (58 58 (:LINEAR LEN-WHEN-PREFIXP))
 (58 58 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (56 56 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (56 8 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (54 54 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (54 23 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (54 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (53 7 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (48 16 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (46 46 (:REWRITE SUBSETP-MEMBER . 2))
 (46 46 (:REWRITE SUBSETP-MEMBER . 1))
 (44 14 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (43 1 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (40 40 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (40 8 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (39 3 (:DEFINITION NFIX))
 (38 8 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (32 2 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (30 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (27 27 (:REWRITE DEFAULT-+-1))
 (27 12 (:REWRITE SUBSETP-MEMBER . 3))
 (24 24 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (22 22 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-95))
 (22 2 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-1 . 1))
 (22 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-10))
 (22 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (21 21 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (21 21 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (19 19 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (19 2 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (18 18 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (18 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (17 17 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (16 16 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (16 16 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (16 16 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (16 16 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (16 8 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (16 7 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (15 15 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (15 15 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (15 1 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (14 14 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (14 14 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (14 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-6))
 (14 1 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (12 12 (:REWRITE SUBSETP-MEMBER . 4))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 3))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 2))
 (12 12 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (12 12 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (12 8 (:REWRITE CONSP-OF-STRIP-CARS))
 (12 6 (:REWRITE SET-EQUIV-ASYM))
 (12 6 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (12 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-130))
 (11 3 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (10 1 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-DIR-STREAM-TABLE-P))
 (9 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (8 8 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (8 8 (:REWRITE ABS-NO-DUPS-P-OF-FRAME->ROOT))
 (7 1 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (6 6 (:TYPE-PRESCRIPTION SET-EQUIV))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (6 6 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (6 6 (:REWRITE SUBSETP-OF-CDR))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (6 1 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (5 1 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (5 1 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (5 1 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (5 1 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE-ASSOC))
 (4 4 (:TYPE-PRESCRIPTION NULL))
 (4 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (4 4 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (4 4 (:DEFINITION NULL))
 (4 1 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (4 1 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (3 3 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (3 3 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (3 3 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (3 3 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (3 1 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (3 1 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (3 1 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-6))
 (2 2 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:TYPE-PRESCRIPTION ATOM))
 (1 1 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (1 1 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (1 1 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (1 1 (:REWRITE ABS-NO-DUPS-P-OF-FRAME-VAL->DIR))
 )
(ABS-PWRITE
 (167165 195 (:LINEAR PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9))
 (154656 751 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (152949 478 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (138155 478 (:DEFINITION ABS-NO-DUPS-P))
 (89108 2439 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (84469 31 (:DEFINITION NTHCDR))
 (81121 237 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-95))
 (80753 5410 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (54582 15541 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (53991 379 (:REWRITE NFIX-WHEN-ZP))
 (49483 62 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (48180 775 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (35984 33 (:REWRITE CONSP-OF-NTHCDR))
 (32052 101 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (24659 8861 (:REWRITE DEFAULT-CDR))
 (22986 478 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (21509 79 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (20008 2290 (:DEFINITION ASSOC-EQUAL))
 (18837 478 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (16441 237 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-PARTIAL-COLLAPSE))
 (14600 478 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (14545 583 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (14093 11834 (:REWRITE DEFAULT-CAR))
 (12930 35 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (12210 478 (:DEFINITION ABS-NO-DUPS-FILE-P))
 (11798 7018 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (11644 478 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (11644 478 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (11558 2962 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (11374 871 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (11191 956 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (10231 2421 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (9687 17 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (9640 1912 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (9630 962 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (9496 1751 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (8525 775 (:REWRITE SUBSETP-CAR-MEMBER))
 (8430 1500 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8316 36 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (8257 37 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (7751 27 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-8))
 (7275 1338 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (6867 5410 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6604 2632 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (6443 699 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (4874 6 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (4629 9 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-73))
 (4590 776 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (4545 5 (:DEFINITION ATOM))
 (4090 853 (:DEFINITION STRIP-CARS))
 (3824 3824 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (3714 50 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (3708 818 (:REWRITE MEMBER-WHEN-ATOM))
 (3638 25 (:REWRITE FIND-NEW-INDEX-CORRECTNESS-1))
 (3193 478 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (3158 758 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2877 2303 (:REWRITE CONSP-OF-STRIP-CARS))
 (2642 1375 (:REWRITE DEFAULT-<-2))
 (2632 2632 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (2502 28 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (2426 2426 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (2421 2421 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2368 54 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-42))
 (2013 684 (:REWRITE DEFAULT-+-2))
 (1775 1375 (:REWRITE DEFAULT-<-1))
 (1744 50 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (1726 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-18))
 (1664 99 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (1649 181 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (1550 775 (:REWRITE SET-EQUIV-ASYM))
 (1434 478 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (1410 25 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (1241 589 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1229 583 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1200 1200 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1197 13 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-130))
 (1173 99 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (1172 1172 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1104 12 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-ALLOC-1))
 (1090 490 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (1044 200 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (969 200 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (956 956 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (956 956 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (956 478 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (956 478 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (916 916 (:REWRITE SUBSETP-MEMBER . 2))
 (886 4 (:REWRITE EQUAL-OF-M1-FILE))
 (871 871 (:REWRITE SUBSETP-MEMBER . 4))
 (871 871 (:REWRITE INTERSECTP-MEMBER . 3))
 (871 871 (:REWRITE INTERSECTP-MEMBER . 2))
 (775 775 (:TYPE-PRESCRIPTION SET-EQUIV))
 (775 775 (:REWRITE SUBSETP-OF-CDR))
 (717 18 (:DEFINITION PUT-ASSOC-EQUAL))
 (700 700 (:LINEAR LEN-WHEN-PREFIXP))
 (700 700 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (684 684 (:REWRITE DEFAULT-+-1))
 (675 675 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (672 18 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (669 6 (:REWRITE EQUAL-OF-FRAME-VAL))
 (654 84 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-8))
 (649 649 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (648 6 (:REWRITE ABS-SEPARATE-OF-PARTIAL-COLLAPSE))
 (626 43 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (600 600 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (564 564 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (564 564 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (546 546 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (526 67 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (490 490 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (478 478 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (478 478 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (478 478 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (478 478 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (426 12 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (420 6 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (384 23 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (342 9 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-6))
 (333 3 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-4))
 (308 6 (:REWRITE M1-FILE->CONTENTS-OF-M1-FILE))
 (237 79 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (201 201 (:REWRITE SUBSETP-TRANS2))
 (201 201 (:REWRITE SUBSETP-TRANS))
 (165 33 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-15))
 (162 54 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (162 30 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (153 17 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (150 150 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (119 119 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (102 102 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (93 31 (:REWRITE COMMUTATIVITY-OF-+))
 (81 81 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (75 75 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (72 30 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (60 60 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (54 54 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (48 16 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (38 38 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (36 6 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (34 34 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (34 34 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (30 6 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (30 6 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (30 6 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (24 24 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (24 12 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (18 18 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (18 6 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (17 17 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (17 17 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (17 17 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (16 16 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (14 2 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (12 12 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (12 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (12 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (10 1 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-DIR-STREAM-TABLE-P))
 (8 8 (:TYPE-PRESCRIPTION NULL))
 (8 8 (:DEFINITION NULL))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (6 6 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (6 2 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (5 5 (:TYPE-PRESCRIPTION ATOM))
 (4 4 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-SUBSETP-EQUAL))
 (4 2 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 (4 1 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 )
(ABS-PWRITE-CORRECTNESS-2
 (325920 1164 (:LINEAR PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9))
 (266865 4305 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (265380 234 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (173880 516 (:REWRITE LEN-WHEN-PREFIXP))
 (132327 1512 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-95))
 (126744 318 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (122154 798 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (118755 117 (:DEFINITION NTHCDR))
 (109344 516 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (97182 4305 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (95148 1512 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-PARTIAL-COLLAPSE))
 (90348 23859 (:REWRITE DEFAULT-CDR))
 (88932 318 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (87369 2754 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (77658 77658 (:TYPE-PRESCRIPTION STRIP-CARS))
 (73317 990 (:REWRITE NFIX-WHEN-ZP))
 (64581 234 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (62682 234 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (61956 5628 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (58041 63 (:DEFINITION NAT-EQUIV$INLINE))
 (56097 99 (:REWRITE CONSP-OF-NTHCDR))
 (54684 318 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (53334 2796 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (53028 10854 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (51816 4437 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (47796 144 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (47355 4305 (:REWRITE SUBSETP-CAR-MEMBER))
 (43044 5646 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (41448 798 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (38637 25722 (:REWRITE DEFAULT-CAR))
 (36948 36948 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE))
 (34971 72 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (33933 87 (:REWRITE ABS-FIND-FILE-SRC-CORRECTNESS-1))
 (29028 3879 (:DEFINITION ASSOC-EQUAL))
 (28917 72 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (27786 5940 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (26520 258 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9 . 2))
 (25284 606 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (22182 396 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (21594 21594 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (20916 4440 (:DEFINITION STRIP-CARS))
 (19737 1827 (:DEFINITION LEN))
 (19191 327 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (18000 4380 (:REWRITE MEMBER-WHEN-ATOM))
 (17763 2754 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (16962 771 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-9))
 (16053 12999 (:REWRITE CONSP-OF-STRIP-CARS))
 (14589 351 (:REWRITE LEN-OF-DIRNAME))
 (13440 1344 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-12))
 (13056 4347 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (12768 1014 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (11555 6260 (:REWRITE DEFAULT-<-2))
 (10428 30 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-73))
 (10386 5646 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (10131 10131 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (9993 27 (:DEFINITION ATOM))
 (9006 4503 (:REWRITE SET-EQUIV-ASYM))
 (8496 684 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (7830 7830 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (7828 6260 (:REWRITE DEFAULT-<-1))
 (7545 3054 (:REWRITE DEFAULT-+-2))
 (7068 2796 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (5787 222 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (5508 5508 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (5370 42 (:REWRITE FIND-NEW-INDEX-CORRECTNESS-1))
 (4701 4701 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (4701 4701 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (4701 4701 (:REWRITE SUBSETP-OF-CDR))
 (4527 4527 (:REWRITE SUBSETP-MEMBER . 2))
 (4503 4503 (:TYPE-PRESCRIPTION SET-EQUIV))
 (4437 4437 (:REWRITE SUBSETP-MEMBER . 4))
 (4437 4437 (:REWRITE INTERSECTP-MEMBER . 3))
 (4437 4437 (:REWRITE INTERSECTP-MEMBER . 2))
 (4266 1464 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (4185 243 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (3804 3804 (:LINEAR LEN-WHEN-PREFIXP))
 (3804 3804 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3636 36 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (3528 42 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (3327 990 (:REWRITE NFIX-WHEN-NATP))
 (3249 12 (:REWRITE EQUAL-OF-M1-FILE))
 (3234 54 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (3225 126 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (3147 3054 (:REWRITE DEFAULT-+-1))
 (3108 42 (:LINEAR ABS-MKDIR-CORRECTNESS-LEMMA-9))
 (2925 96 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (2796 2796 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2691 39 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-130))
 (2574 18 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2559 84 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (2499 1452 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2376 99 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (2373 1452 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2361 153 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-8))
 (2187 12 (:REWRITE M1-FILE-CONTENTS-FIX-WHEN-M1-FILE-CONTENTS-P))
 (2112 48 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2088 87 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-7))
 (1932 1932 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (1902 273 (:REWRITE FOLD-CONSTS-IN-+))
 (1890 126 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (1830 1830 (:TYPE-PRESCRIPTION PREFIXP))
 (1764 66 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1626 42 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-42))
 (1575 225 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (1530 36 (:DEFINITION PUT-ASSOC-EQUAL))
 (1509 105 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (1464 1464 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1452 1452 (:REWRITE SUBSETP-TRANS2))
 (1452 1452 (:REWRITE SUBSETP-TRANS))
 (1293 120 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (1200 402 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1194 798 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1080 120 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (1038 12 (:LINEAR INSERT-TEXT-CORRECTNESS-3 . 1))
 (957 33 (:REWRITE LENGTH-WHEN-STRINGP))
 (936 54 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (891 669 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (870 870 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (831 435 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (831 171 (:REWRITE FRAME-P-OF-PARTIAL-COLLAPSE))
 (831 171 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-6))
 (822 276 (:REWRITE UNICITY-OF-0))
 (816 36 (:REWRITE INSERT-TEXT-CORRECTNESS-4))
 (798 798 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (798 798 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (783 159 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (771 771 (:TYPE-PRESCRIPTION FIND-NEW-INDEX-CORRECTNESS-LEMMA-1))
 (738 18 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (717 51 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (696 318 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (669 669 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (603 603 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (546 276 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (516 318 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (483 483 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (483 483 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (432 432 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (417 129 (:REWRITE COMMUTATIVITY-OF-+))
 (408 408 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (396 396 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (390 390 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (378 378 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (318 318 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (318 318 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (318 318 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (318 318 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (312 312 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (312 192 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (300 60 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (285 189 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-INSERT-TEXT))
 (252 252 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (249 249 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (246 96 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (246 96 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (222 222 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (222 222 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (195 195 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (192 192 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (144 48 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (126 126 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (120 120 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (117 117 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (105 105 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (96 96 (:TYPE-PRESCRIPTION M1-FILE-P))
 (84 84 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (80 80 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (78 78 (:TYPE-PRESCRIPTION STRINGP-OF-IMPLODE))
 (78 78 (:REWRITE ABS-FS-P-OF-ABS-ALLOC-2))
 (72 36 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-FIX))
 (66 66 (:REWRITE FAT32-FILENAME-P-OF-BASENAME))
 (63 63 (:TYPE-PRESCRIPTION NAT-EQUIV$INLINE))
 (60 12 (:LINEAR INSERT-TEXT-CORRECTNESS-3 . 2))
 (57 15 (:DEFINITION NFIX))
 (54 54 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (54 18 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (54 18 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (48 48 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (42 12 (:REWRITE STR::EXPLODE-OF-IMPLODE))
 (36 36 (:TYPE-PRESCRIPTION M1-FILE))
 (30 30 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (27 27 (:TYPE-PRESCRIPTION ATOM))
 (27 27 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (24 24 (:TYPE-PRESCRIPTION M1-FILE->D-E$INLINE))
 (18 18 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (18 18 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (18 18 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (18 18 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (18 6 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (15 15 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (12 12 (:REWRITE STR::MAKE-CHARACTER-LIST-IS-IDENTITY-UNDER-CHARLISTEQV))
 (9 9 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (6 6 (:TYPE-PRESCRIPTION D-E-P))
 (6 6 (:REWRITE D-E-P-OF-M1-FILE->D-E))
 (6 6 (:REWRITE ABS-NO-DUPS-P-OF-FRAME->ROOT))
 (3 3 (:REWRITE NFIX-UNDER-NAT-EQUIV))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-87
 (31521 23 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-5))
 (21092 618 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (20694 298 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (14490 229 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (13371 128 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (12133 166 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (12041 179 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (9082 210 (:REWRITE LEN-WHEN-PREFIXP))
 (8582 123 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (7671 26 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (7626 124 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (7312 119 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (7282 58 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (6997 607 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (6628 236 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (5854 423 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (5485 64 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (5386 1186 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (4002 56 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (3940 210 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3867 236 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (3553 426 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (3182 23 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (3143 240 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (2985 184 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (2976 210 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (2593 240 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2514 105 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (2455 308 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (2395 765 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2206 285 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (2106 82 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (2102 280 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (2052 491 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (2010 420 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (1928 69 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (1912 174 (:DEFINITION ASSOC-EQUAL))
 (1888 1381 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1784 605 (:REWRITE DEFAULT-+-2))
 (1756 1343 (:REWRITE DEFAULT-CDR))
 (1751 119 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (1534 1534 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (1426 56 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (1395 128 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1381 1381 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1300 105 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1194 285 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1164 1164 (:TYPE-PRESCRIPTION PREFIXP))
 (1160 255 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1077 280 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (1014 173 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (988 300 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (981 380 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (957 618 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (950 950 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (877 56 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (843 843 (:REWRITE DEFAULT-CAR))
 (765 765 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (688 688 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (663 56 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (651 651 (:TYPE-PRESCRIPTION M1-FILE-P))
 (643 236 (:REWRITE DEFAULT-<-2))
 (630 630 (:LINEAR LEN-WHEN-PREFIXP))
 (616 236 (:REWRITE DEFAULT-<-1))
 (607 57 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (605 605 (:REWRITE DEFAULT-+-1))
 (603 603 (:TYPE-PRESCRIPTION ABS-FS-P))
 (585 117 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (572 149 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (571 571 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (570 570 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (507 507 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (495 56 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (475 475 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (432 423 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (423 423 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (423 423 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (423 423 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (423 423 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (423 423 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (390 390 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (380 380 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (348 348 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (330 55 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (285 173 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (280 280 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (256 256 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (256 256 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (243 243 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (243 20 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (226 226 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (210 105 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (173 173 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (168 168 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (168 168 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (132 11 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (117 117 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (117 117 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (112 112 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (112 112 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (110 23 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (90 90 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (90 90 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (76 76 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (76 76 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (76 76 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (76 76 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (76 76 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (74 74 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (67 67 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (58 58 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (55 55 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (55 55 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (54 54 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (47 47 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-79))
 (44 44 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (44 11 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (39 39 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (23 23 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (21 18 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (18 18 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (18 3 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (16 16 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (15 15 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (12 3 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (9 9 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (6 3 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE ABS-TOP-ADDRS-OF-ABS-FS-FIX))
 (3 3 (:DEFINITION ATOM))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-89
 (1538 18 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (1111 8 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-4))
 (996 22 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (932 233 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (798 6 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (768 22 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (709 12 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (588 8 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (530 8 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (487 12 (:REWRITE LEN-WHEN-PREFIXP))
 (449 403 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (413 9 (:REWRITE PREFIXP-OF-FAT32-FILENAME-LIST-FIX))
 (399 233 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (369 4 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (361 37 (:DEFINITION ASSOC-EQUAL))
 (336 2 (:REWRITE PATH-CLEAR-OF-REMOVE-ASSOC-OF-FRAME->FRAME))
 (326 55 (:DEFINITION STRIP-CARS))
 (273 267 (:REWRITE DEFAULT-CAR))
 (248 2 (:REWRITE ABS-FIND-FILE-SRC-CORRECTNESS-1))
 (244 8 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (230 151 (:REWRITE DEFAULT-CDR))
 (218 218 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (204 6 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (180 4 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-2))
 (177 17 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (176 18 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (168 24 (:DEFINITION LEN))
 (165 7 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (120 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (115 12 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (108 12 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (108 6 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (90 6 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (90 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (88 4 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (86 86 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (85 8 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (78 78 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (78 6 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (76 31 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (72 24 (:REWRITE DEFAULT-+-2))
 (70 16 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (60 6 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-1 . 1))
 (58 22 (:REWRITE DEFAULT-<-2))
 (56 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (54 54 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE))
 (52 14 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (52 2 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (50 22 (:REWRITE DEFAULT-<-1))
 (50 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (48 8 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-12))
 (45 15 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (45 10 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (44 4 (:REWRITE ZP-OPEN))
 (42 6 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (42 6 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (42 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-41))
 (40 40 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (40 8 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (39 10 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (36 36 (:LINEAR LEN-WHEN-PREFIXP))
 (36 36 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (34 2 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (32 4 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (30 30 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (30 14 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (29 29 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (29 29 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (29 29 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (28 22 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (28 22 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (27 27 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (26 26 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (26 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (24 24 (:REWRITE DEFAULT-+-1))
 (24 18 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (24 12 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (22 22 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (22 22 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (22 22 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (22 22 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (22 4 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (22 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (22 2 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (21 7 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (20 20 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (18 18 (:TYPE-PRESCRIPTION ABS-FS-P))
 (18 18 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (16 4 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (15 15 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (14 14 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (14 8 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (14 2 (:DEFINITION NATP))
 (12 12 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (12 12 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (12 12 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (12 6 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (11 11 (:REWRITE SUBSETP-TRANS))
 (10 10 (:REWRITE FRAME-P-OF-PARTIAL-COLLAPSE))
 (10 10 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (10 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (9 9 (:TYPE-PRESCRIPTION NAMES-AT))
 (9 9 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (8 8 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (8 8 (:REWRITE-QUOTED-CONSTANT FRAME-VAL-FIX-UNDER-FRAME-VAL-EQUIV))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (8 4 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (8 2 (:REWRITE MEMBER-WHEN-ATOM))
 (7 7 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (7 3 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (6 6 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (6 6 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-PARTIAL-COLLAPSE))
 (6 2 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (6 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (6 2 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (5 5 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (5 5 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (4 4 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (4 4 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (4 4 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (4 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (4 2 (:REWRITE SET-EQUIV-ASYM))
 (4 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (3 3 (:TYPE-PRESCRIPTION SET-EQUIV))
 (3 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (2 2 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (2 2 (:REWRITE SUBSETP-OF-CDR))
 (2 2 (:REWRITE SUBSETP-MEMBER . 4))
 (2 2 (:REWRITE SUBSETP-MEMBER . 3))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 3))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (2 2 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (2 2 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-2
 (5745 85 (:REWRITE LEN-WHEN-PREFIXP))
 (5648 17 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (5277 2 (:REWRITE PATH-CLEAR-OF-PUT-ASSOC-EQUAL))
 (4180 1002 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2927 294 (:DEFINITION ASSOC-EQUAL))
 (2840 359 (:DEFINITION LEN))
 (2501 50 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (2435 17 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-4))
 (1998 22 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (1977 21 (:REWRITE REMOVE-WHEN-ABSENT))
 (1891 7 (:DEFINITION REMOVE-EQUAL))
 (1699 36 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1691 29 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1684 81 (:REWRITE NFIX-WHEN-ZP))
 (1661 65 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1640 56 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (1639 134 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1614 17 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1464 10 (:REWRITE PATH-CLEAR-OF-REMOVE-ASSOC-OF-FRAME->FRAME))
 (1277 1205 (:REWRITE DEFAULT-CAR))
 (1258 24 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1224 16 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (1132 392 (:REWRITE DEFAULT-+-2))
 (1015 285 (:REWRITE DEFAULT-<-2))
 (988 27 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (987 31 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (979 112 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (952 952 (:TYPE-PRESCRIPTION STRIP-CARS))
 (952 1 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-4))
 (894 31 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (872 20 (:REWRITE SUBSETP-CAR-MEMBER))
 (846 423 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (832 40 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (770 64 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (729 40 (:REWRITE 1ST-COMPLETE-CORRECTNESS-1))
 (692 99 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (638 638 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (622 10 (:REWRITE CTX-APP-OK-OF-CTX-APP-LIST-SEQ-LEMMA-1))
 (542 10 (:REWRITE VALID-SEQP-WHEN-PREFIXP))
 (539 285 (:REWRITE DEFAULT-<-1))
 (504 14 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (416 392 (:REWRITE DEFAULT-+-1))
 (388 16 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (341 3 (:REWRITE PATH-CLEAR-OF-REMOVE-ASSOC-2))
 (338 199 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (322 12 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (319 81 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (294 14 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (274 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-NTHCDR))
 (273 134 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (252 17 (:REWRITE PATH-CLEAR-OF-REMOVE-ASSOC-1))
 (248 54 (:DEFINITION STRIP-CARS))
 (224 224 (:LINEAR LEN-WHEN-PREFIXP))
 (216 56 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (203 6 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (201 138 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (199 199 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (190 31 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (179 15 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (172 43 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (166 16 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (162 162 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (154 154 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (154 154 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (153 112 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (152 152 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (149 149 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (144 144 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (139 64 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (136 66 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (129 32 (:REWRITE MEMBER-WHEN-ATOM))
 (128 64 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (126 3 (:DEFINITION PUT-ASSOC-EQUAL))
 (122 122 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (122 122 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (122 122 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (122 122 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (113 113 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (113 95 (:REWRITE CONSP-OF-STRIP-CARS))
 (111 33 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (108 3 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (104 3 (:REWRITE MEMBER-OF-STRIP-CARS))
 (90 1 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (88 60 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (82 17 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (81 81 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (80 80 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (80 24 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (78 12 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (75 1 (:REWRITE MEMBER-OF-NTH-WHEN-NOT-INTERSECTP))
 (72 72 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (62 62 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (62 62 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (59 3 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (56 56 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (53 53 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (50 22 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (50 20 (:TYPE-PRESCRIPTION FINAL-VAL-SEQ-OF-COLLAPSE-THIS-LEMMA-7))
 (49 25 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (46 46 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (42 21 (:REWRITE SET-EQUIV-ASYM))
 (42 7 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (40 20 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (40 3 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (39 13 (:REWRITE COMMUTATIVITY-OF-+))
 (36 12 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (35 14 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (32 32 (:REWRITE SUBSETP-MEMBER . 4))
 (32 32 (:REWRITE SUBSETP-MEMBER . 3))
 (32 32 (:REWRITE SUBSETP-MEMBER . 2))
 (32 32 (:REWRITE SUBSETP-MEMBER . 1))
 (32 32 (:REWRITE INTERSECTP-MEMBER . 3))
 (32 32 (:REWRITE INTERSECTP-MEMBER . 2))
 (30 10 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 1))
 (29 29 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (29 7 (:REWRITE DEFAULT-UNARY-MINUS))
 (28 28 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (27 14 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (27 1 (:DEFINITION NFIX))
 (24 8 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (24 8 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (24 6 (:REWRITE LIST-EQUIV-OF-NIL-LEFT))
 (22 22 (:TYPE-PRESCRIPTION SET-EQUIV))
 (22 3 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (22 3 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (21 7 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (20 20 (:TYPE-PRESCRIPTION VALID-SEQP))
 (20 20 (:REWRITE SUBSETP-OF-CDR))
 (20 8 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (20 8 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (19 19 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (17 17 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (16 16 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (16 8 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (16 1 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 2))
 (15 3 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (15 3 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (14 14 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (13 7 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (12 12 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (12 12 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (12 12 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (9 1 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (8 8 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-14))
 (8 8 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (8 1 (:REWRITE CONSP-OF-APPEND))
 (7 7 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (6 6 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (6 3 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (6 2 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (5 5 (:TYPE-PRESCRIPTION D-E-P))
 (5 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT))
 (4 1 (:REWRITE UNICITY-OF-0))
 (3 1 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (2 1 (:REWRITE NTH-WHEN-D-E-P . 2))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 1))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-9))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(ABS-OPENDIR
 (1025 17 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (774 14 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-8))
 (738 12 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (676 26 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (500 125 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (427 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (344 24 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (307 12 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (306 12 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (303 12 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (296 18 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (291 125 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (290 34 (:DEFINITION ASSOC-EQUAL))
 (247 99 (:REWRITE DEFAULT-CDR))
 (222 10 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (183 147 (:REWRITE DEFAULT-CAR))
 (181 145 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (154 46 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-12))
 (144 24 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (138 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-PARTIAL-COLLAPSE))
 (132 12 (:REWRITE SUBSETP-CAR-MEMBER))
 (132 12 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (120 30 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (94 14 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-8))
 (84 12 (:DEFINITION NATP))
 (77 11 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (68 68 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (60 60 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (60 14 (:DEFINITION STRIP-CARS))
 (58 58 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (48 12 (:REWRITE MEMBER-WHEN-ATOM))
 (40 40 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (40 36 (:REWRITE CONSP-OF-STRIP-CARS))
 (37 10 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (36 36 (:TYPE-PRESCRIPTION NATP))
 (35 35 (:TYPE-PRESCRIPTION ABS-FS-P))
 (35 31 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (35 5 (:DEFINITION ALISTP))
 (34 28 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (34 6 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-9))
 (32 8 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (24 24 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (24 24 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (24 12 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (24 12 (:REWRITE SET-EQUIV-ASYM))
 (23 14 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (22 22 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (18 18 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (16 6 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (13 13 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (12 12 (:TYPE-PRESCRIPTION SET-EQUIV))
 (12 12 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (12 12 (:REWRITE SUBSETP-OF-CDR))
 (12 12 (:REWRITE SUBSETP-MEMBER . 4))
 (12 12 (:REWRITE SUBSETP-MEMBER . 3))
 (12 12 (:REWRITE SUBSETP-MEMBER . 2))
 (12 12 (:REWRITE SUBSETP-MEMBER . 1))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 3))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 2))
 (12 12 (:REWRITE DEFAULT-<-2))
 (12 12 (:REWRITE DEFAULT-<-1))
 (10 10 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (10 10 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (10 10 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (10 10 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (9 9 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (8 1 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (6 6 (:REWRITE SUBSETP-TRANS2))
 (6 6 (:REWRITE SUBSETP-TRANS))
 (6 6 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (5 2 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (4 4 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (4 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-10))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (1 1 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 )
(ABS-OPENDIR-CORRECTNESS-1
 (571 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (449 43 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (390 1 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (389 66 (:DEFINITION STRIP-CARS))
 (348 7 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (345 20 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (342 31 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (308 10 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (273 1 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (266 33 (:DEFINITION ASSOC-EQUAL))
 (256 236 (:REWRITE DEFAULT-CAR))
 (220 10 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (216 131 (:REWRITE DEFAULT-CDR))
 (204 51 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (189 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (153 45 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (147 11 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (141 1 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (140 5 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (134 13 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (131 2 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (125 5 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (124 1 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (118 24 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (100 2 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (94 12 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (92 24 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (91 91 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (85 10 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (85 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (83 4 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (82 26 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (82 11 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (70 5 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (66 66 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (63 59 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (60 4 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (55 5 (:REWRITE SUBSETP-CAR-MEMBER))
 (55 5 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (45 45 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (45 5 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (44 20 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (44 16 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (42 12 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (42 3 (:REWRITE ZP-OPEN))
 (38 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (35 5 (:DEFINITION NATP))
 (27 27 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (27 27 (:REWRITE SUBSETP-TRANS))
 (27 4 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (25 5 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (24 8 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (21 21 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (20 5 (:REWRITE MEMBER-WHEN-ATOM))
 (19 4 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (17 11 (:REWRITE DEFAULT-<-2))
 (16 16 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (16 16 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (16 8 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (16 4 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (15 15 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (14 3 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (12 12 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (11 11 (:REWRITE DEFAULT-<-1))
 (10 10 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (10 5 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (10 5 (:REWRITE SET-EQUIV-ASYM))
 (10 5 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (10 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (9 9 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION SET-EQUIV))
 (8 8 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (8 8 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (8 8 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (8 2 (:REWRITE DIR-STREAM-TABLE-FIX-WHEN-DIR-STREAM-TABLE-P))
 (7 7 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (5 5 (:REWRITE SUBSETP-OF-CDR))
 (5 5 (:REWRITE SUBSETP-MEMBER . 4))
 (5 5 (:REWRITE SUBSETP-MEMBER . 3))
 (5 5 (:REWRITE SUBSETP-MEMBER . 2))
 (5 5 (:REWRITE SUBSETP-MEMBER . 1))
 (5 5 (:REWRITE INTERSECTP-MEMBER . 3))
 (5 5 (:REWRITE INTERSECTP-MEMBER . 2))
 (5 5 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (5 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (5 1 (:REWRITE CONSP-CAR-OF-DIR-STREAM-TABLE-FIX))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (4 4 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 2 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-1 . 2))
 (3 3 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (3 3 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (3 3 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (3 3 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (3 3 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (3 3 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (2 2 (:TYPE-PRESCRIPTION DIR-STREAM-TABLE-FIX$INLINE))
 (2 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (2 2 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (2 2 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (1 1 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (1 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 )
(ABS-OPENDIR-CORRECTNESS-3
 (594 18 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (399 80 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (273 39 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-12))
 (264 8 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (244 8 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (239 80 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (218 218 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE))
 (208 4 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (159 80 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (130 13 (:DEFINITION ASSOC-EQUAL))
 (108 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (104 104 (:TYPE-PRESCRIPTION FRAME-P))
 (80 80 (:TYPE-PRESCRIPTION ZP))
 (80 80 (:TYPE-PRESCRIPTION LEN))
 (77 56 (:REWRITE DEFAULT-CAR))
 (60 8 (:DEFINITION STRIP-CARS))
 (36 6 (:REWRITE FRAME-P-OF-PARTIAL-COLLAPSE))
 (33 9 (:REWRITE DIR-STREAM-TABLE-FIX-WHEN-DIR-STREAM-TABLE-P))
 (30 12 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (26 26 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (24 24 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (24 4 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (23 22 (:REWRITE DEFAULT-CDR))
 (20 4 (:REWRITE CONSP-CAR-OF-DIR-STREAM-TABLE-FIX))
 (18 6 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (16 16 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (16 4 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (13 13 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (13 13 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (13 13 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (13 13 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (12 12 (:TYPE-PRESCRIPTION M1-FILE-P))
 (12 12 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (9 9 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (6 6 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 )
(ABS-OPENDIR-CORRECTNESS-LEMMA-1
 (250 6 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (154 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (148 37 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (122 5 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (114 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (97 5 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (92 8 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (62 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (59 5 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (58 58 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (55 15 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (53 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (52 1 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (48 48 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (44 2 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (41 40 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (37 37 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (31 10 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (31 9 (:REWRITE DEFAULT-CDR))
 (30 6 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (30 4 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (29 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (28 5 (:DEFINITION STRIP-CARS))
 (28 2 (:REWRITE ZP-OPEN))
 (28 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (27 6 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (26 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (25 3 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (25 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (19 19 (:TYPE-PRESCRIPTION STRIP-CARS))
 (17 14 (:REWRITE DEFAULT-CAR))
 (17 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (16 2 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (15 15 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (14 14 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (14 5 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (14 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (11 1 (:REWRITE SUBSETP-CAR-MEMBER))
 (11 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (10 10 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (10 10 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (10 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (9 5 (:REWRITE DEFAULT-<-2))
 (9 3 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (8 8 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (8 5 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (8 2 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (8 2 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (7 1 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (7 1 (:DEFINITION NATP))
 (7 1 (:DEFINITION ASSOC-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (6 6 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (6 6 (:REWRITE SUBSETP-TRANS2))
 (6 6 (:REWRITE SUBSETP-TRANS))
 (6 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (6 4 (:REWRITE CONSP-OF-STRIP-CARS))
 (6 3 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (6 2 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (5 5 (:TYPE-PRESCRIPTION ABS-FS-P))
 (5 5 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (5 5 (:REWRITE DEFAULT-<-1))
 (5 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 1 (:REWRITE MEMBER-WHEN-ATOM))
 (3 3 (:TYPE-PRESCRIPTION M1-FILE-P))
 (3 3 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (3 3 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (2 2 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (2 2 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (2 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (2 1 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (2 1 (:REWRITE SET-EQUIV-ASYM))
 (2 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1 1 (:REWRITE SUBSETP-OF-CDR))
 (1 1 (:REWRITE SUBSETP-MEMBER . 4))
 (1 1 (:REWRITE SUBSETP-MEMBER . 3))
 (1 1 (:REWRITE SUBSETP-MEMBER . 2))
 (1 1 (:REWRITE SUBSETP-MEMBER . 1))
 (1 1 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (1 1 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 )
(ABS-OPENDIR-CORRECTNESS-LEMMA-2
 (293 5 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (154 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (136 34 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (114 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (100 4 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (94 4 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (48 48 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (40 7 (:DEFINITION STRIP-CARS))
 (40 4 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (36 36 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (34 34 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (32 32 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (28 2 (:REWRITE ZP-OPEN))
 (26 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (22 6 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (20 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (19 1 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (18 18 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (17 3 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (15 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (14 14 (:REWRITE DEFAULT-CAR))
 (10 4 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (10 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (9 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (9 1 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (8 8 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (8 6 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (8 4 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (8 4 (:REWRITE DEFAULT-<-2))
 (8 2 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (7 7 (:REWRITE DEFAULT-CDR))
 (6 6 (:TYPE-PRESCRIPTION ABS-FS-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (6 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (6 2 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (6 2 (:REWRITE HIFAT-OPENDIR-CORRECTNESS-LEMMA-2))
 (6 2 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (6 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (5 5 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (5 5 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (5 1 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-EQUIV))
 (4 4 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (4 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (4 4 (:REWRITE DEFAULT-<-1))
 (4 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (4 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (4 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (3 3 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (2 2 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE))
 (2 2 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (2 2 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (2 2 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (2 2 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (2 2 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (2 1 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (1 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (1 1 (:REWRITE FRAME-P-OF-PARTIAL-COLLAPSE))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 )
(ABS-OPENDIR-CORRECTNESS-LEMMA-4
 (1062 4 (:DEFINITION HIFAT-FIND-FILE))
 (648 16 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (484 2 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (453 12 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (418 6 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (244 6 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (160 160 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (148 14 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (130 26 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (130 26 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (128 28 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (110 10 (:DEFINITION ASSOC-EQUAL))
 (101 15 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (72 12 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (70 14 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (68 4 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-1))
 (60 4 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (56 14 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (54 18 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (52 26 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (48 48 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (48 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (46 46 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (45 45 (:REWRITE DEFAULT-CDR))
 (44 4 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (38 38 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (36 36 (:REWRITE DEFAULT-CAR))
 (36 22 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (28 28 (:TYPE-PRESCRIPTION ABS-FS-P))
 (26 26 (:TYPE-PRESCRIPTION ZP))
 (26 26 (:TYPE-PRESCRIPTION LEN))
 (26 26 (:TYPE-PRESCRIPTION FRAME-P))
 (25 25 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (24 24 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (24 4 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (22 22 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (20 20 (:TYPE-PRESCRIPTION M1-FILE-P))
 (20 20 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (20 20 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (20 4 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (14 14 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (14 14 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (14 14 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (12 12 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (12 12 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (8 8 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (6 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (6 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (5 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4 4 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (4 4 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (4 1 (:DEFINITION STRIP-CARS))
 (3 3 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (2 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (1 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-3))
 (1 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 )
(ABS-OPENDIR-CORRECTNESS-LEMMA-5
 (250 6 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (154 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (148 37 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (122 5 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (114 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (97 5 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (92 8 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (62 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (59 5 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (58 58 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (55 15 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (53 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (52 1 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (48 48 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (44 2 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (41 40 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (37 37 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (31 10 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (31 9 (:REWRITE DEFAULT-CDR))
 (30 6 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (30 4 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (29 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (28 5 (:DEFINITION STRIP-CARS))
 (28 2 (:REWRITE ZP-OPEN))
 (28 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (27 6 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (26 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (26 3 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (25 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (19 19 (:TYPE-PRESCRIPTION STRIP-CARS))
 (17 14 (:REWRITE DEFAULT-CAR))
 (17 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (16 2 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (15 15 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (14 14 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (14 5 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (14 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (11 1 (:REWRITE SUBSETP-CAR-MEMBER))
 (11 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (10 10 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (10 10 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (10 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (9 5 (:REWRITE DEFAULT-<-2))
 (9 3 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (8 8 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (8 5 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (8 2 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (8 2 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (7 1 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (7 1 (:DEFINITION NATP))
 (7 1 (:DEFINITION ASSOC-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (6 6 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (6 6 (:REWRITE SUBSETP-TRANS2))
 (6 6 (:REWRITE SUBSETP-TRANS))
 (6 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (6 4 (:REWRITE CONSP-OF-STRIP-CARS))
 (6 3 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (6 2 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (5 5 (:TYPE-PRESCRIPTION ABS-FS-P))
 (5 5 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (5 5 (:REWRITE DEFAULT-<-1))
 (5 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 1 (:REWRITE MEMBER-WHEN-ATOM))
 (3 3 (:TYPE-PRESCRIPTION M1-FILE-P))
 (3 3 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (3 3 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (2 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (2 2 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (2 2 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (2 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (2 1 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (2 1 (:REWRITE SET-EQUIV-ASYM))
 (2 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1 1 (:REWRITE SUBSETP-OF-CDR))
 (1 1 (:REWRITE SUBSETP-MEMBER . 4))
 (1 1 (:REWRITE SUBSETP-MEMBER . 3))
 (1 1 (:REWRITE SUBSETP-MEMBER . 2))
 (1 1 (:REWRITE SUBSETP-MEMBER . 1))
 (1 1 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (1 1 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 )
(ABS-OPENDIR-CORRECTNESS-LEMMA-3
 (1007 21 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (539 21 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (399 21 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (337 19 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (284 71 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (168 168 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (159 15 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (138 138 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (136 25 (:DEFINITION STRIP-CARS))
 (110 30 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (98 7 (:REWRITE ZP-OPEN))
 (92 8 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (91 21 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (81 25 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (78 3 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (77 76 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (71 71 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (68 9 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (64 64 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (62 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (59 10 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (57 54 (:REWRITE DEFAULT-CAR))
 (52 1 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (51 29 (:REWRITE DEFAULT-CDR))
 (48 6 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (45 3 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (44 2 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (43 19 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (40 5 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (38 3 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (30 30 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (29 15 (:REWRITE DEFAULT-<-2))
 (29 7 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (29 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (28 28 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (28 7 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (27 6 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (27 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (26 2 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (25 13 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (24 8 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (22 14 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (21 21 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (21 7 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (21 6 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (16 16 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (16 16 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (16 8 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (15 15 (:TYPE-PRESCRIPTION ABS-FS-P))
 (15 15 (:REWRITE DEFAULT-<-1))
 (15 3 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (14 14 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (14 14 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (13 13 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (13 13 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (11 1 (:REWRITE SUBSETP-CAR-MEMBER))
 (11 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (10 10 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (10 10 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (10 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-10))
 (8 8 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (7 7 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (7 7 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (7 7 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (7 7 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (7 1 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (7 1 (:DEFINITION NATP))
 (7 1 (:DEFINITION ASSOC-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE))
 (6 6 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (6 6 (:REWRITE SUBSETP-TRANS2))
 (6 6 (:REWRITE SUBSETP-TRANS))
 (6 6 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (6 4 (:REWRITE CONSP-OF-STRIP-CARS))
 (6 3 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (5 5 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (5 5 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (4 1 (:REWRITE MEMBER-WHEN-ATOM))
 (3 3 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (3 3 (:REWRITE FRAME-P-OF-PARTIAL-COLLAPSE))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2 1 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (2 1 (:REWRITE SET-EQUIV-ASYM))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1 1 (:REWRITE SUBSETP-OF-CDR))
 (1 1 (:REWRITE SUBSETP-MEMBER . 4))
 (1 1 (:REWRITE SUBSETP-MEMBER . 3))
 (1 1 (:REWRITE SUBSETP-MEMBER . 2))
 (1 1 (:REWRITE SUBSETP-MEMBER . 1))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (1 1 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 )
(ABS-OPENDIR-CORRECTNESS-2
 (2644 60 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (1545 9 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (1381 78 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (1170 3 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (1058 176 (:DEFINITION STRIP-CARS))
 (1022 43 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1007 77 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (819 3 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (809 49 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (652 163 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (609 564 (:REWRITE DEFAULT-CAR))
 (599 86 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (591 591 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (578 69 (:DEFINITION ASSOC-EQUAL))
 (497 49 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (484 303 (:REWRITE DEFAULT-CDR))
 (458 458 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (458 40 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (450 3 (:REWRITE ABS-OPENDIR-CORRECTNESS-LEMMA-5))
 (423 3 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (406 13 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (372 3 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (365 111 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (359 11 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (308 22 (:REWRITE ZP-OPEN))
 (308 10 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (297 77 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (275 86 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (259 5 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (220 10 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (216 29 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (213 59 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (201 39 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (190 10 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (186 182 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (150 10 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (143 30 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (140 5 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (138 138 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (133 30 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (125 5 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (124 43 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (124 25 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (117 13 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (114 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (111 111 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (94 94 (:TYPE-PRESCRIPTION STRIP-CARS))
 (93 49 (:REWRITE DEFAULT-<-2))
 (88 88 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (88 22 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (87 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (85 10 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (82 82 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (81 27 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (80 16 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (77 77 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (71 71 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (70 5 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (66 9 (:REWRITE ABS-OPENDIR-CORRECTNESS-LEMMA-4))
 (64 37 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (55 5 (:REWRITE SUBSETP-CAR-MEMBER))
 (55 5 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (54 54 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (54 27 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (49 49 (:REWRITE DEFAULT-<-1))
 (44 44 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (39 12 (:REWRITE DIR-STREAM-TABLE-FIX-WHEN-DIR-STREAM-TABLE-P))
 (37 37 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (35 35 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (35 5 (:DEFINITION NATP))
 (34 5 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (32 32 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (32 32 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (30 30 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (30 30 (:REWRITE SUBSETP-TRANS2))
 (30 30 (:REWRITE SUBSETP-TRANS))
 (30 20 (:REWRITE CONSP-OF-STRIP-CARS))
 (30 6 (:REWRITE CONSP-CAR-OF-DIR-STREAM-TABLE-FIX))
 (27 27 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (27 6 (:REWRITE ABS-OPENDIR-CORRECTNESS-LEMMA-1))
 (25 25 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (25 25 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (25 5 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (24 24 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (23 23 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (20 5 (:REWRITE MEMBER-WHEN-ATOM))
 (19 19 (:TYPE-PRESCRIPTION M1-FILE-P))
 (16 16 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (15 15 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (12 12 (:TYPE-PRESCRIPTION DIR-STREAM-TABLE-FIX$INLINE))
 (12 2 (:DEFINITION LEN))
 (11 11 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (10 10 (:TYPE-PRESCRIPTION NATP))
 (10 10 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (10 10 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (10 10 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (10 5 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (10 5 (:REWRITE SET-EQUIV-ASYM))
 (10 5 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (9 9 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (9 9 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (9 9 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (7 7 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (6 6 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (6 6 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (6 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (6 2 (:REWRITE DEFAULT-+-2))
 (6 1 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (5 5 (:TYPE-PRESCRIPTION SET-EQUIV))
 (5 5 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (5 5 (:REWRITE SUBSETP-OF-CDR))
 (5 5 (:REWRITE SUBSETP-MEMBER . 4))
 (5 5 (:REWRITE SUBSETP-MEMBER . 3))
 (5 5 (:REWRITE SUBSETP-MEMBER . 2))
 (5 5 (:REWRITE SUBSETP-MEMBER . 1))
 (5 5 (:REWRITE INTERSECTP-MEMBER . 3))
 (5 5 (:REWRITE INTERSECTP-MEMBER . 2))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (5 5 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (5 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE DEFAULT-+-1))
 (1 1 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (1 1 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 )
(ABS-READDIR)
(ABS-CLOSEDIR)
(ABS-PWRITE-CORRECTNESS-LEMMA-2
 (3704 84 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (3693 53 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (3046 100 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2402 72 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (2365 77 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (1274 22 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (1221 26 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (982 383 (:REWRITE DEFAULT-CDR))
 (862 68 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (766 766 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (766 129 (:DEFINITION STRIP-CARS))
 (761 24 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (696 696 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (681 23 (:REWRITE M1-FILE-CONTENTS-FIX-WHEN-M1-FILE-CONTENTS-P))
 (638 4 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (576 3 (:REWRITE ABS-OPENDIR-CORRECTNESS-LEMMA-5))
 (558 558 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (546 33 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (531 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-33))
 (520 499 (:REWRITE DEFAULT-CAR))
 (431 1 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (388 69 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (366 32 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (364 22 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (363 363 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (336 5 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (329 14 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (326 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-63))
 (320 4 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (294 56 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (281 71 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (280 11 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (260 5 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (259 26 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (251 99 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (246 8 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (244 84 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (213 49 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (210 14 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (209 3 (:LINEAR INSERT-TEXT-CORRECTNESS-3 . 1))
 (207 4 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (206 71 (:REWRITE DEFAULT-+-2))
 (189 93 (:REWRITE DEFAULT-<-2))
 (189 3 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (183 11 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (182 11 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (179 16 (:REWRITE NFIX-WHEN-ZP))
 (179 6 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (176 8 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (167 16 (:REWRITE NFIX-WHEN-NATP))
 (165 1 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-1))
 (155 15 (:DEFINITION NFIX))
 (153 41 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (152 152 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (149 15 (:DEFINITION NATP))
 (146 93 (:REWRITE DEFAULT-<-1))
 (144 1 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (136 136 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (136 85 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-INSERT-TEXT))
 (136 34 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (133 1 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (126 1 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (122 2 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (118 37 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (114 24 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (112 16 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (112 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (112 3 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (106 24 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (99 11 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (95 22 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (90 15 (:REWRITE INSERT-TEXT-CORRECTNESS-4))
 (89 89 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (85 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (82 82 (:TYPE-PRESCRIPTION NATP))
 (82 82 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (82 71 (:REWRITE DEFAULT-+-1))
 (75 75 (:TYPE-PRESCRIPTION STRIP-CARS))
 (72 6 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-9))
 (72 1 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (70 1 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (68 68 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (68 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-18))
 (65 1 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (65 1 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (64 1 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (64 1 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (62 1 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (60 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (59 1 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (56 4 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (54 7 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (54 2 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (48 2 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (44 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (44 4 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (43 12 (:REWRITE STR::EXPLODE-OF-IMPLODE))
 (41 41 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (40 40 (:LINEAR LEN-WHEN-PREFIXP))
 (40 40 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (40 8 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (40 8 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (36 5 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (36 4 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (30 30 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (25 25 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (24 24 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (24 24 (:REWRITE SUBSETP-TRANS2))
 (24 24 (:REWRITE SUBSETP-TRANS))
 (24 16 (:REWRITE CONSP-OF-STRIP-CARS))
 (22 22 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (22 22 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (22 22 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (20 20 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (20 3 (:REWRITE COMMUTATIVITY-OF-+))
 (19 19 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (17 5 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (16 16 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (16 16 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (16 16 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (16 4 (:REWRITE MEMBER-WHEN-ATOM))
 (15 3 (:LINEAR INSERT-TEXT-CORRECTNESS-3 . 2))
 (14 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-73))
 (12 12 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (12 12 (:REWRITE STR::MAKE-CHARACTER-LIST-IS-IDENTITY-UNDER-CHARLISTEQV))
 (12 4 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (11 11 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (9 9 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (9 3 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (9 1 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (9 1 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (8 8 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (8 8 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (8 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (7 1 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (7 1 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION FIND-NEW-INDEX-CORRECTNESS-LEMMA-1))
 (6 6 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (6 6 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (6 6 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (6 6 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (6 6 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (6 3 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE))
 (6 2 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (5 5 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (5 1 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION SET-EQUIV))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE SUBSETP-MEMBER . 4))
 (4 4 (:REWRITE SUBSETP-MEMBER . 3))
 (4 4 (:REWRITE SUBSETP-MEMBER . 2))
 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (4 4 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (4 1 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (4 1 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (4 1 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (3 3 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (3 3 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (3 3 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (3 3 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (2 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (1 1 (:TYPE-PRESCRIPTION NULL))
 (1 1 (:TYPE-PRESCRIPTION ATOM))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-38))
 (1 1 (:DEFINITION NULL))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-7
 (10 2 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (6 2 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (5 5 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE))
 (4 2 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (2 2 (:TYPE-PRESCRIPTION ZP))
 (2 2 (:TYPE-PRESCRIPTION LEN))
 (2 2 (:TYPE-PRESCRIPTION FRAME-P))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-10
 (3900 968 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2647 87 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (2237 61 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2231 40 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (2065 79 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1317 75 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (1202 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (1093 79 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1033 1033 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (1033 1033 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (912 154 (:DEFINITION STRIP-CARS))
 (905 329 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (834 2 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (832 409 (:REWRITE DEFAULT-CDR))
 (719 85 (:DEFINITION ASSOC-EQUAL))
 (599 575 (:REWRITE DEFAULT-CAR))
 (572 34 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (546 48 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (480 6 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (455 138 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (418 418 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (414 11 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (366 12 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (327 87 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (326 8 (:REWRITE LEN-OF-DIRNAME))
 (319 9 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (310 13 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (309 6 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (307 62 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (286 17 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (276 72 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (266 2 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (264 12 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (252 252 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (245 53 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (236 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (226 4 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (195 13 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (184 61 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (170 170 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (170 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (168 36 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (168 6 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (162 81 (:REWRITE CONSP-OF-DIRNAME))
 (156 36 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (151 64 (:REWRITE DEFAULT-<-2))
 (150 6 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (140 140 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (140 35 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (129 44 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (125 16 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (124 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (122 4 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (114 16 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (114 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (111 111 (:TYPE-PRESCRIPTION STRIP-CARS))
 (104 8 (:DEFINITION NFIX))
 (100 44 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (99 58 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (99 11 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (98 20 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (88 88 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (88 20 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (88 8 (:DEFINITION NATP))
 (86 7 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (85 85 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (84 64 (:REWRITE DEFAULT-<-1))
 (81 9 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (76 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (70 70 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (70 8 (:REWRITE NFIX-WHEN-ZP))
 (66 6 (:REWRITE SUBSETP-CAR-MEMBER))
 (66 6 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (64 8 (:REWRITE NFIX-WHEN-NATP))
 (58 58 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (55 11 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (54 6 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (53 53 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (50 50 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (48 16 (:REWRITE DEFAULT-+-2))
 (48 8 (:DEFINITION LEN))
 (44 4 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (39 6 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (36 36 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (36 36 (:REWRITE SUBSETP-TRANS2))
 (36 36 (:REWRITE SUBSETP-TRANS))
 (36 24 (:REWRITE CONSP-OF-STRIP-CARS))
 (30 6 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (24 24 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (24 6 (:REWRITE MEMBER-WHEN-ATOM))
 (22 22 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (22 22 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (22 6 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (18 18 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (18 2 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (18 2 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (18 2 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (17 17 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (17 17 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (17 17 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (16 16 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (16 16 (:REWRITE DEFAULT-+-1))
 (15 15 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (15 15 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (14 14 (:TYPE-PRESCRIPTION NATP))
 (14 7 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (14 2 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (12 12 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (12 12 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (12 6 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (12 6 (:REWRITE SET-EQUIV-ASYM))
 (12 3 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (10 10 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (8 8 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (8 8 (:LINEAR LEN-WHEN-PREFIXP))
 (8 8 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (7 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6 6 (:TYPE-PRESCRIPTION SET-EQUIV))
 (6 6 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (6 6 (:REWRITE SUBSETP-OF-CDR))
 (6 6 (:REWRITE SUBSETP-MEMBER . 4))
 (6 6 (:REWRITE SUBSETP-MEMBER . 3))
 (6 6 (:REWRITE SUBSETP-MEMBER . 2))
 (6 6 (:REWRITE SUBSETP-MEMBER . 1))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 3))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 2))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (6 6 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (6 6 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (6 6 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (6 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (4 4 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (4 4 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (4 4 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (4 4 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (3 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-11))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-3
 (3496 874 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1284 13 (:REWRITE NFIX-WHEN-ZP))
 (1080 30 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (903 26 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (826 59 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-9))
 (680 20 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (626 16 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (554 31 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (533 129 (:REWRITE DEFAULT-CDR))
 (532 23 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (491 52 (:DEFINITION ASSOC-EQUAL))
 (379 8 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (377 7 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-32))
 (372 372 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (372 372 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (325 13 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (312 7 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 1))
 (311 7 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (297 31 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (248 4 (:LINEAR ABS-MKDIR-CORRECTNESS-LEMMA-9))
 (237 31 (:REWRITE DEFAULT-<-2))
 (216 6 (:REWRITE LEN-OF-DIRNAME))
 (196 191 (:REWRITE DEFAULT-CAR))
 (161 49 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (158 158 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (157 8 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (142 4 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (127 1 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (114 8 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (104 104 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (94 16 (:DEFINITION STRIP-CARS))
 (90 90 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (90 8 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (89 2 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (81 24 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (80 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (75 10 (:DEFINITION LEN))
 (74 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (71 23 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (70 30 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (67 6 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (65 4 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (60 10 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (60 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (56 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (54 23 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (53 2 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (51 1 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (48 16 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (48 6 (:DEFINITION NFIX))
 (47 47 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (47 47 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (47 47 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (47 21 (:REWRITE DEFAULT-+-2))
 (47 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (46 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (46 1 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (44 2 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (43 1 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (39 31 (:REWRITE DEFAULT-<-1))
 (38 38 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (32 32 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (32 16 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (30 6 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (30 3 (:DEFINITION NATP))
 (28 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (27 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (26 1 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (25 6 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (24 24 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (24 1 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (23 23 (:TYPE-PRESCRIPTION M1-FILE-P))
 (23 23 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (23 23 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (23 11 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (21 21 (:REWRITE DEFAULT-+-1))
 (19 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (18 18 (:TYPE-PRESCRIPTION STRIP-CARS))
 (17 1 (:DEFINITION NAT-EQUIV$INLINE))
 (16 16 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (16 16 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (16 4 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (16 2 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (15 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (11 1 (:REWRITE SUBSETP-CAR-MEMBER))
 (11 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (10 10 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (10 10 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (10 1 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-1 . 1))
 (9 1 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (9 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (9 1 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (9 1 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (8 8 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (8 2 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (6 6 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (6 6 (:REWRITE SUBSETP-TRANS2))
 (6 6 (:REWRITE SUBSETP-TRANS))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (6 6 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (6 4 (:REWRITE CONSP-OF-STRIP-CARS))
 (6 2 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (6 1 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (5 5 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (4 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (4 1 (:REWRITE MEMBER-WHEN-ATOM))
 (4 1 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (3 3 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (3 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2 2 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (2 2 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (2 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (2 2 (:REWRITE FAT32-FILENAME-P-OF-BASENAME))
 (2 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (2 1 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (2 1 (:REWRITE SET-EQUIV-ASYM))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:TYPE-PRESCRIPTION NAT-EQUIV$INLINE))
 (1 1 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (1 1 (:REWRITE SUBSETP-OF-CDR))
 (1 1 (:REWRITE SUBSETP-MEMBER . 4))
 (1 1 (:REWRITE SUBSETP-MEMBER . 3))
 (1 1 (:REWRITE SUBSETP-MEMBER . 2))
 (1 1 (:REWRITE SUBSETP-MEMBER . 1))
 (1 1 (:REWRITE NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-5
 (2044 505 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (798 133 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-12))
 (763 1 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (585 9 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (473 18 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (443 11 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (352 17 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (341 5 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (340 83 (:REWRITE DEFAULT-CDR))
 (337 36 (:DEFINITION ASSOC-EQUAL))
 (299 10 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (294 3 (:REWRITE NFIX-WHEN-ZP))
 (287 14 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (274 24 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (238 17 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-9))
 (226 67 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (214 17 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (186 2 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (183 6 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (170 160 (:REWRITE DEFAULT-CAR))
 (160 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (152 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-32))
 (134 23 (:DEFINITION STRIP-CARS))
 (133 7 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (132 4 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (129 35 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (128 1 (:REWRITE FIND-NEW-INDEX-CORRECTNESS-1))
 (120 4 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (117 3 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (112 4 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (110 3 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (110 2 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 1))
 (103 6 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (103 2 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (102 17 (:TYPE-PRESCRIPTION ABS-PWRITE-CORRECTNESS-LEMMA-7))
 (99 99 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (86 20 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (85 20 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (78 2 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (78 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (76 76 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (72 72 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (68 18 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (67 67 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (58 9 (:REWRITE DEFAULT-<-2))
 (57 2 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (56 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (53 1 (:LINEAR ABS-MKDIR-CORRECTNESS-LEMMA-9))
 (52 2 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (51 6 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (50 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (49 1 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (46 17 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (41 41 (:TYPE-PRESCRIPTION STRIP-CARS))
 (41 10 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (39 4 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (34 34 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (34 34 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (34 34 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (34 1 (:REWRITE LEN-OF-DIRNAME))
 (33 10 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (32 32 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (32 32 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (32 4 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (32 2 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (30 30 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (30 4 (:DEFINITION LEN))
 (30 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (28 1 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (26 3 (:REWRITE NFIX-WHEN-NATP))
 (24 8 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (24 4 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (23 3 (:REWRITE MEMBER-WHEN-ATOM))
 (22 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (22 1 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (20 20 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (20 20 (:REWRITE SUBSETP-TRANS2))
 (20 20 (:REWRITE SUBSETP-TRANS))
 (20 2 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-1 . 1))
 (19 1 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (18 18 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (18 18 (:TYPE-PRESCRIPTION ABS-FS-P))
 (18 10 (:REWRITE CONSP-OF-STRIP-CARS))
 (17 17 (:TYPE-PRESCRIPTION FIND-NEW-INDEX-CORRECTNESS-LEMMA-1))
 (17 17 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (17 17 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (17 17 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (16 16 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (16 16 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (16 4 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (15 4 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (15 1 (:DEFINITION TRUE-LISTP))
 (14 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (14 5 (:REWRITE DEFAULT-+-2))
 (14 2 (:DEFINITION NATP))
 (13 13 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (13 1 (:DEFINITION NAT-EQUIV$INLINE))
 (12 12 (:TYPE-PRESCRIPTION M1-FILE-P))
 (12 2 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (10 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (9 9 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (9 9 (:REWRITE DEFAULT-<-1))
 (9 9 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (9 9 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (8 8 (:TYPE-PRESCRIPTION NATP))
 (8 8 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (8 8 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (8 8 (:LINEAR LEN-WHEN-PREFIXP))
 (8 8 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (8 4 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (6 6 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (6 6 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (6 2 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (6 1 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (5 5 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (5 5 (:REWRITE DEFAULT-+-1))
 (5 5 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (5 5 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (5 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4 4 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION D-E-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (4 4 (:REWRITE SUBSETP-MEMBER . 2))
 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (4 4 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (4 4 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (4 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (4 4 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (4 4 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (4 2 (:REWRITE SET-EQUIV-ASYM))
 (4 2 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (4 2 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 1 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (3 3 (:REWRITE SUBSETP-MEMBER . 4))
 (3 3 (:REWRITE SUBSETP-MEMBER . 3))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 3))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 2))
 (3 1 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (2 2 (:TYPE-PRESCRIPTION SET-EQUIV))
 (2 2 (:TYPE-PRESCRIPTION NFIX))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (2 2 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE SUBSETP-OF-CDR))
 (2 2 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2 2 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (2 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (2 2 (:REWRITE SET::IN-SET))
 (2 2 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (1 1 (:TYPE-PRESCRIPTION NAT-EQUIV$INLINE))
 (1 1 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-6
 (7756 25 (:LINEAR PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9))
 (3725 395 (:DEFINITION ASSOC-EQUAL))
 (3704 926 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (3484 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (3270 14 (:REWRITE LEN-WHEN-PREFIXP))
 (3228 1084 (:REWRITE DEFAULT-CDR))
 (2559 124 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (2188 9 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1703 1688 (:REWRITE DEFAULT-CAR))
 (1466 246 (:DEFINITION STRIP-CARS))
 (1460 2 (:DEFINITION NTHCDR))
 (1122 12 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (1101 10 (:REWRITE ZP-OPEN))
 (1011 3 (:REWRITE NFIX-WHEN-ZP))
 (1000 135 (:DEFINITION LEN))
 (837 33 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (790 790 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (563 5 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (539 84 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (539 9 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (495 33 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (448 44 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (409 139 (:REWRITE DEFAULT-+-2))
 (407 22 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (380 1 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (379 52 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (352 45 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (300 10 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (275 3 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (260 260 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (260 65 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (259 3 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (220 10 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (211 211 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (206 20 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (192 192 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (175 15 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (172 15 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (162 54 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (141 1 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (140 53 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (140 5 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (139 139 (:REWRITE DEFAULT-+-1))
 (130 130 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (129 1 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (125 5 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (124 124 (:TYPE-PRESCRIPTION PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-19))
 (124 124 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (124 1 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (119 119 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (119 119 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (115 26 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (113 5 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (112 112 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (108 108 (:LINEAR LEN-WHEN-PREFIXP))
 (105 26 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (103 33 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (92 92 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (85 10 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (85 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (85 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (74 32 (:REWRITE DEFAULT-<-2))
 (70 35 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (70 20 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (70 5 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (60 36 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (55 5 (:REWRITE SUBSETP-CAR-MEMBER))
 (55 5 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (54 54 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (54 36 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (52 22 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (51 32 (:REWRITE DEFAULT-<-1))
 (49 49 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (49 49 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (49 49 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (49 49 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (45 45 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (45 3 (:DEFINITION TRUE-LISTP))
 (44 26 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (41 26 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (40 28 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (38 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (36 6 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (35 5 (:DEFINITION NATP))
 (34 34 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (34 34 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (34 34 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (32 32 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (30 30 (:REWRITE SUBSETP-TRANS))
 (30 10 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (27 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (25 5 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (24 24 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (20 20 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (20 20 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (20 10 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (20 5 (:REWRITE MEMBER-WHEN-ATOM))
 (18 6 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (15 15 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (15 15 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (13 13 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (12 12 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (12 12 (:TYPE-PRESCRIPTION D-E-P))
 (12 6 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (12 2 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (10 10 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (10 5 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (10 5 (:REWRITE SET-EQUIV-ASYM))
 (10 5 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (9 6 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (7 7 (:TYPE-PRESCRIPTION SET-EQUIV))
 (6 6 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (6 6 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (6 6 (:REWRITE SET::IN-SET))
 (6 6 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (6 3 (:REWRITE NFIX-WHEN-NATP))
 (6 3 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (5 5 (:REWRITE SUBSETP-OF-CDR))
 (5 5 (:REWRITE SUBSETP-MEMBER . 4))
 (5 5 (:REWRITE SUBSETP-MEMBER . 3))
 (5 5 (:REWRITE SUBSETP-MEMBER . 2))
 (5 5 (:REWRITE SUBSETP-MEMBER . 1))
 (5 5 (:REWRITE INTERSECTP-MEMBER . 3))
 (5 5 (:REWRITE INTERSECTP-MEMBER . 2))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (5 5 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (5 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (5 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (5 5 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (5 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4 4 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (4 4 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (4 1 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (3 3 (:TYPE-PRESCRIPTION NFIX))
 (3 3 (:TYPE-PRESCRIPTION M1-FILE-P))
 (3 3 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (3 3 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (2 2 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (2 1 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-24
 (4283 7 (:DEFINITION HIFAT-FIND-FILE))
 (3095 35 (:REWRITE ABS-SEPARATE-CORRECTNESS-2))
 (2608 28 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (2452 29 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2175 14 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (2044 511 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2041 1 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (1909 14 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1909 1 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1500 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (1326 1 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (1162 195 (:DEFINITION STRIP-CARS))
 (1076 123 (:DEFINITION ASSOC-EQUAL))
 (896 2 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (853 487 (:REWRITE DEFAULT-CDR))
 (834 22 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (817 30 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (794 781 (:REWRITE DEFAULT-CAR))
 (714 100 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (709 27 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (585 7 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-1))
 (465 7 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (436 7 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (405 10 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (388 39 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (332 23 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (313 11 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (284 18 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (267 23 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (246 246 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (246 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (244 8 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (241 75 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (241 29 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (233 5 (:REWRITE LEN-WHEN-PREFIXP))
 (216 24 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (187 8 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (176 8 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (174 48 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (167 48 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (156 4 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (140 28 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (135 135 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (124 1 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (120 8 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (114 16 (:DEFINITION LEN))
 (112 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (105 5 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (102 25 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (100 25 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (100 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (89 11 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (82 82 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (82 5 (:REWRITE ZP-OPEN))
 (81 27 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (78 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (77 7 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (75 75 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (74 41 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (72 72 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (68 68 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (68 17 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (68 8 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (66 66 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (57 17 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (56 4 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (54 18 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (48 48 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (48 48 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (48 16 (:REWRITE DEFAULT-+-2))
 (46 46 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (44 44 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (44 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (44 4 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (42 7 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (38 38 (:TYPE-PRESCRIPTION M1-FILE-P))
 (38 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (36 36 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (36 18 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (34 34 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (34 3 (:REWRITE NFIX-WHEN-ZP))
 (33 16 (:REWRITE DEFAULT-<-2))
 (30 30 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (28 28 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (28 28 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (28 4 (:DEFINITION NATP))
 (26 26 (:REWRITE SUBSETP-TRANS))
 (26 2 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (21 21 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (21 21 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (21 21 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (21 16 (:REWRITE DEFAULT-<-1))
 (20 4 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (19 19 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (18 18 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (16 16 (:REWRITE DEFAULT-+-1))
 (16 16 (:LINEAR LEN-WHEN-PREFIXP))
 (16 16 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (16 10 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (16 4 (:REWRITE MEMBER-WHEN-ATOM))
 (15 15 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (15 15 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (15 15 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (14 14 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (14 14 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (14 14 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (14 14 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (14 14 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (14 14 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (14 14 (:REWRITE ABS-FILE-ALIST-P-OF-COLLAPSE))
 (13 1 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (12 12 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (11 11 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (10 10 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (10 10 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (10 10 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (8 8 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (8 5 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (8 5 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (8 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (8 4 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (7 7 (:REWRITE SUBSETP-OF-CDR))
 (7 7 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (7 7 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (7 7 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (7 7 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (7 7 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (7 7 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (7 7 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (7 7 (:REWRITE ABS-FS-P-OF-COLLAPSE))
 (5 5 (:TYPE-PRESCRIPTION SET-EQUIV))
 (5 5 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-3))
 (5 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (5 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (5 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4 4 (:REWRITE SUBSETP-MEMBER . 4))
 (4 4 (:REWRITE SUBSETP-MEMBER . 3))
 (4 4 (:REWRITE SUBSETP-MEMBER . 2))
 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (4 4 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (4 1 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (3 3 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (3 3 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (3 3 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (3 3 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (1 1 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (1 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-14
 (14079 28 (:DEFINITION HIFAT-FIND-FILE))
 (9994 32 (:LINEAR PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9))
 (8916 132 (:REWRITE ABS-SEPARATE-CORRECTNESS-2))
 (8878 115 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (7205 104 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (6531 48 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (6337 6 (:DEFINITION NTHCDR))
 (6287 12 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (5269 11 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (4758 1162 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (4749 1867 (:REWRITE DEFAULT-CDR))
 (4676 528 (:DEFINITION ASSOC-EQUAL))
 (4667 84 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (4345 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (3813 24 (:REWRITE NFIX-WHEN-ZP))
 (3594 600 (:DEFINITION STRIP-CARS))
 (3165 12 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (3032 109 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (2832 2819 (:REWRITE DEFAULT-CAR))
 (2045 81 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1866 224 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1660 28 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (1522 142 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1352 104 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1210 53 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (1150 53 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (1102 44 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (1056 1056 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1043 1 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (974 84 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (967 68 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (957 135 (:REWRITE SUBSETP-CAR-MEMBER))
 (823 158 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (805 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (664 97 (:DEFINITION LEN))
 (660 44 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (655 1 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (637 165 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (631 1 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (602 2 (:REWRITE ABS-OPENDIR-CORRECTNESS-LEMMA-5))
 (594 184 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (531 59 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (461 125 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (422 422 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (397 2 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (380 380 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (380 95 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (364 28 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (303 109 (:REWRITE DEFAULT-+-2))
 (284 284 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (272 81 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (255 8 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (208 7 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (190 190 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (186 14 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (184 184 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (178 178 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (178 71 (:REWRITE DEFAULT-<-2))
 (177 9 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (175 45 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (157 157 (:REWRITE SUBSETP-TRANS))
 (153 153 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (153 153 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (152 152 (:LINEAR LEN-WHEN-PREFIXP))
 (152 152 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (152 1 (:REWRITE FIND-NEW-INDEX-CORRECTNESS-1))
 (145 11 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (144 48 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (142 142 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (136 136 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (136 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (132 76 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (129 33 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (127 127 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (124 1 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (121 4 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (117 24 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (117 7 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (110 24 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (109 109 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (109 109 (:REWRITE DEFAULT-+-1))
 (104 104 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (96 96 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (96 48 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (85 5 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (84 84 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (84 84 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (84 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (84 2 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (78 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (71 71 (:REWRITE DEFAULT-<-1))
 (70 11 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (67 67 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (67 67 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (67 67 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (64 64 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (53 11 (:REWRITE LEN-WHEN-PREFIXP))
 (52 2 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (48 48 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (48 48 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (48 48 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (48 48 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (48 48 (:REWRITE ABS-FILE-ALIST-P-OF-COLLAPSE))
 (39 39 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (39 4 (:REWRITE MEMBER-WHEN-ATOM))
 (38 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (36 1 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (33 18 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (28 28 (:REWRITE ABS-FS-P-OF-COLLAPSE))
 (27 18 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (23 6 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (21 21 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (21 3 (:DEFINITION NATP))
 (21 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (18 6 (:REWRITE COMMUTATIVITY-OF-+))
 (14 14 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (12 12 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (12 12 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (12 12 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (11 11 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (10 10 (:REWRITE SUBSETP-MEMBER . 2))
 (10 10 (:REWRITE SUBSETP-MEMBER . 1))
 (9 9 (:TYPE-PRESCRIPTION FIND-NEW-INDEX-CORRECTNESS-LEMMA-1))
 (9 9 (:TYPE-PRESCRIPTION ABS-PWRITE-CORRECTNESS-LEMMA-7))
 (8 8 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (8 8 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (7 7 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (7 7 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (6 6 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6 3 (:REWRITE SET-EQUIV-ASYM))
 (6 2 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (6 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-10))
 (4 4 (:TYPE-PRESCRIPTION SET-EQUIV))
 (4 4 (:REWRITE SUBSETP-MEMBER . 4))
 (4 4 (:REWRITE SUBSETP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (3 3 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (3 3 (:REWRITE SUBSETP-OF-CDR))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (3 3 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (2 2 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2 2 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-17
 (6885 10 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (4221 19 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (3817 948 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (3500 24 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (3086 888 (:REWRITE DEFAULT-CDR))
 (3019 5 (:DEFINITION NTHCDR))
 (2946 102 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (2606 277 (:DEFINITION ASSOC-EQUAL))
 (2434 13 (:REWRITE NFIX-WHEN-ZP))
 (2148 9 (:REWRITE LEN-WHEN-PREFIXP))
 (1831 29 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1658 9 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (1564 9 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1482 248 (:DEFINITION STRIP-CARS))
 (1368 20 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (1347 1334 (:REWRITE DEFAULT-CAR))
 (1057 42 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (915 44 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (914 33 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (833 120 (:DEFINITION LEN))
 (821 77 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (809 44 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (662 102 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (630 42 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (554 554 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (554 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (482 35 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (447 42 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (380 1 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (372 372 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (370 130 (:REWRITE DEFAULT-+-2))
 (330 91 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (320 320 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (320 80 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (300 20 (:DEFINITION TRUE-LISTP))
 (269 25 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (242 61 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (240 1 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (228 7 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (215 19 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (207 6 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (205 10 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (195 40 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (182 6 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (171 171 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (160 160 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (151 66 (:REWRITE DEFAULT-<-2))
 (149 39 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (141 1 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (136 49 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (134 33 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (134 10 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (132 12 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (132 6 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (130 130 (:REWRITE DEFAULT-+-1))
 (124 1 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (119 4 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (106 106 (:LINEAR LEN-WHEN-PREFIXP))
 (102 102 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (102 40 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (100 100 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (96 66 (:REWRITE DEFAULT-<-1))
 (94 94 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (94 94 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (93 93 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (93 7 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (91 91 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (84 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (82 82 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (80 19 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (78 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (77 9 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (76 76 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (75 3 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (72 16 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (70 12 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (68 16 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (63 19 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (63 7 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (62 62 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (62 62 (:TYPE-PRESCRIPTION D-E-P))
 (62 31 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (59 6 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (56 38 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (47 7 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (45 10 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (42 24 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (42 24 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (42 12 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (42 12 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-6 . 2))
 (40 40 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (39 4 (:REWRITE MEMBER-WHEN-ATOM))
 (38 38 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (38 38 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (38 38 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (38 38 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (38 38 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (38 7 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (38 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (36 8 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (33 3 (:REWRITE SUBSETP-CAR-MEMBER))
 (31 31 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (31 31 (:REWRITE SET::IN-SET))
 (29 1 (:REWRITE ABS-OPENDIR-CORRECTNESS-LEMMA-5))
 (27 27 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (27 5 (:DEFINITION NATP))
 (24 24 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (24 24 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (24 24 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (24 24 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (23 6 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (20 5 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (20 5 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (20 4 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (17 17 (:REWRITE SUBSETP-TRANS))
 (16 16 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (15 15 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (15 5 (:REWRITE COMMUTATIVITY-OF-+))
 (15 3 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (15 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (12 12 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (10 10 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (9 9 (:TYPE-PRESCRIPTION NFIX))
 (9 9 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (9 9 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (8 8 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (8 8 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (8 8 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (7 7 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (6 6 (:REWRITE CONSP-OF-LIST-FIX))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (6 6 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (6 3 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (6 3 (:REWRITE SET-EQUIV-ASYM))
 (5 5 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (5 5 (:REWRITE SUBSETP-MEMBER . 2))
 (5 5 (:REWRITE SUBSETP-MEMBER . 1))
 (5 5 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (5 5 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (5 1 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (4 4 (:TYPE-PRESCRIPTION SET-EQUIV))
 (4 4 (:REWRITE SUBSETP-MEMBER . 4))
 (4 4 (:REWRITE SUBSETP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (3 3 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (3 3 (:REWRITE SUBSETP-OF-CDR))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (3 3 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (3 1 (:DEFINITION NFIX))
 (1 1 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(FRAME-VAL-OF-THE-DIR-FIELD
 (36 2 (:REWRITE NFIX-WHEN-ZP))
 (28 2 (:REWRITE ZP-OPEN))
 (8 4 (:REWRITE DEFAULT-<-2))
 (4 4 (:REWRITE DEFAULT-<-1))
 (4 2 (:REWRITE DEFAULT-CDR))
 (4 2 (:REWRITE DEFAULT-CAR))
 (3 1 (:REWRITE FRAME-VAL-FIX-WHEN-FRAME-VAL-P))
 (2 2 (:TYPE-PRESCRIPTION ZP))
 (2 2 (:TYPE-PRESCRIPTION FRAME-VAL-P))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-47
 (376 94 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (188 94 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (182 15 (:REWRITE DEFAULT-CDR))
 (109 8 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (98 98 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (75 10 (:DEFINITION ASSOC-EQUAL))
 (70 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (46 6 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (42 6 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (30 30 (:REWRITE DEFAULT-CAR))
 (28 6 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (20 20 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (14 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (10 10 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (10 10 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (8 8 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (8 8 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (8 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (6 6 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (5 5 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (5 5 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (3 3 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-18
 (990 22 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (588 147 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (565 21 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (385 21 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (260 14 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (254 147 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (253 52 (:REWRITE DEFAULT-CDR))
 (224 27 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (168 168 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (162 162 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (161 2 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (143 15 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (139 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-63))
 (118 118 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (108 15 (:DEFINITION ASSOC-EQUAL))
 (98 7 (:REWRITE ZP-OPEN))
 (94 16 (:DEFINITION STRIP-CARS))
 (91 21 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (90 30 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (90 8 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (81 78 (:REWRITE DEFAULT-CAR))
 (81 25 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (66 9 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (66 9 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (61 21 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (60 8 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (60 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (58 9 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (57 33 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (54 54 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (51 1 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (45 2 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (44 2 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (42 34 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (39 3 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (34 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-1))
 (30 30 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (30 30 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (30 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (29 15 (:REWRITE DEFAULT-<-2))
 (28 28 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (28 7 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (28 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (27 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (25 6 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (25 5 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (24 8 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (21 21 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (21 21 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (21 21 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (21 21 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (21 7 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (20 4 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (19 11 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (18 18 (:TYPE-PRESCRIPTION STRIP-CARS))
 (18 6 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (18 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (16 16 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (16 8 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (15 15 (:REWRITE DEFAULT-<-1))
 (14 14 (:TYPE-PRESCRIPTION DIRNAME))
 (14 14 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (14 14 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (14 14 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (14 7 (:REWRITE CONSP-OF-DIRNAME))
 (14 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-10))
 (12 12 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (11 11 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (11 1 (:REWRITE SUBSETP-CAR-MEMBER))
 (11 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (10 10 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (9 9 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (9 9 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (8 8 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (7 7 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (7 7 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (7 1 (:DEFINITION NATP))
 (6 6 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (6 6 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (6 6 (:REWRITE SUBSETP-TRANS2))
 (6 6 (:REWRITE SUBSETP-TRANS))
 (6 6 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (6 4 (:REWRITE CONSP-OF-STRIP-CARS))
 (6 1 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (4 4 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE))
 (4 4 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (4 1 (:REWRITE MEMBER-WHEN-ATOM))
 (3 3 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (3 3 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (3 3 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (3 3 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (3 3 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (3 1 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-6))
 (2 1 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (2 1 (:REWRITE SET-EQUIV-ASYM))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1 1 (:REWRITE SUBSETP-OF-CDR))
 (1 1 (:REWRITE SUBSETP-MEMBER . 4))
 (1 1 (:REWRITE SUBSETP-MEMBER . 3))
 (1 1 (:REWRITE SUBSETP-MEMBER . 2))
 (1 1 (:REWRITE SUBSETP-MEMBER . 1))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-8
 (5229 104 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (2833 152 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (2782 160 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (2415 97 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2169 96 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1542 76 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1264 16 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (1120 94 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1099 412 (:REWRITE DEFAULT-CDR))
 (967 32 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (958 161 (:DEFINITION STRIP-CARS))
 (926 13 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (862 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-33))
 (807 7 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (767 61 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (717 75 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (632 31 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (603 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (598 598 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (594 574 (:REWRITE DEFAULT-CAR))
 (593 143 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (573 18 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (522 13 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (496 496 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (496 496 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (494 151 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (452 26 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (435 85 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (433 18 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (421 40 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (419 1 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (396 24 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (366 32 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (344 10 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-63))
 (336 160 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (320 4 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (283 97 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (270 18 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (262 129 (:REWRITE DEFAULT-<-2))
 (260 107 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (246 8 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (212 8 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (207 4 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (200 200 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (200 50 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (199 5 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (198 12 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (192 192 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (190 23 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (182 38 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (176 8 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (160 160 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (147 49 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (146 129 (:REWRITE DEFAULT-<-1))
 (135 15 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (133 1 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (127 1 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (123 17 (:REWRITE NFIX-WHEN-ZP))
 (116 116 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (114 24 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (112 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (107 107 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (106 24 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (101 45 (:REWRITE DEFAULT-+-2))
 (100 100 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (98 98 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (98 49 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (96 12 (:DEFINITION NFIX))
 (89 5 (:REWRITE ABS-OPENDIR-CORRECTNESS-LEMMA-5))
 (85 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (84 9 (:DEFINITION NATP))
 (82 6 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (80 16 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (75 75 (:TYPE-PRESCRIPTION STRIP-CARS))
 (64 64 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (63 63 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (59 27 (:REWRITE ABS-OPENDIR-CORRECTNESS-LEMMA-1))
 (58 58 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (51 51 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (48 8 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (46 1 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (45 45 (:REWRITE DEFAULT-+-1))
 (45 15 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (44 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (44 4 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (43 1 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (38 38 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (38 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (37 37 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (36 4 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (32 32 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (30 6 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (30 6 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (26 26 (:REWRITE FAT32-FILENAME-P-OF-BASENAME))
 (26 2 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (24 24 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (24 24 (:REWRITE SUBSETP-TRANS2))
 (24 24 (:REWRITE SUBSETP-TRANS))
 (24 24 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (24 16 (:REWRITE CONSP-OF-STRIP-CARS))
 (23 23 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (17 1 (:DEFINITION NAT-EQUIV$INLINE))
 (16 4 (:REWRITE MEMBER-WHEN-ATOM))
 (15 15 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (12 12 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (12 12 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (11 11 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (11 11 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (11 11 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (11 3 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (10 10 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (10 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-10))
 (9 9 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (9 3 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (9 1 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (9 1 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (8 8 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (8 8 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (8 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (6 6 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (6 1 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (5 5 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (5 5 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (5 5 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (5 5 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (4 4 (:TYPE-PRESCRIPTION SET-EQUIV))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE SUBSETP-MEMBER . 4))
 (4 4 (:REWRITE SUBSETP-MEMBER . 3))
 (4 4 (:REWRITE SUBSETP-MEMBER . 2))
 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (4 4 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (3 3 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (2 2 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE->CONTENTS-OF-HIFAT-FIND-FILE))
 (1 1 (:TYPE-PRESCRIPTION NAT-EQUIV$INLINE))
 (1 1 (:REWRITE NFIX-UNDER-NAT-EQUIV))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-9
 (50019 55 (:DEFINITION NTHCDR))
 (36872 110 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (20162 65 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (19420 430 (:REWRITE ZP-OPEN))
 (17290 64 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (16588 709 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (16536 438 (:REWRITE NFIX-WHEN-ZP))
 (16357 2559 (:DEFINITION ASSOC-EQUAL))
 (16283 110 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (14954 9389 (:REWRITE DEFAULT-CDR))
 (13936 72 (:REWRITE HIFAT-NO-DUPS-P-OF-HIFAT-PLACE-FILE))
 (12054 11998 (:REWRITE DEFAULT-CAR))
 (10778 110 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (10648 444 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (10100 1684 (:DEFINITION STRIP-CARS))
 (9530 110 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (9094 52 (:REWRITE EQUAL-OF-M1-FILE))
 (9054 12 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (8513 11 (:DEFINITION NAT-EQUIV$INLINE))
 (8456 125 (:REWRITE M1-FILE-CONTENTS-FIX-WHEN-M1-FILE-CONTENTS-P))
 (8261 2 (:DEFINITION ABS-SEPARATE))
 (8182 89 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (8115 2 (:DEFINITION DIST-NAMES))
 (7015 142 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (6902 74 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6766 68 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (6444 45 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (5563 2232 (:REWRITE DEFAULT-+-2))
 (5497 542 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (4743 60 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (4598 112 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (4177 4177 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (4177 4177 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (3960 646 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (3811 58 (:LINEAR INSERT-TEXT-CORRECTNESS-3 . 1))
 (3097 3097 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (3037 133 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (2758 1364 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2710 339 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (2606 62 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (2445 2232 (:REWRITE DEFAULT-+-1))
 (2394 1074 (:REWRITE DEFAULT-<-2))
 (2376 158 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (2362 1181 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-INSERT-TEXT))
 (2359 68 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (2317 709 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (2305 689 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (1980 99 (:DEFINITION FRAME-ADDRS-ROOT))
 (1980 39 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (1896 1896 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (1880 470 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (1735 12 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (1626 174 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (1619 1074 (:REWRITE DEFAULT-<-1))
 (1510 8 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-1))
 (1489 69 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1439 339 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (1396 1396 (:LINEAR LEN-WHEN-PREFIXP))
 (1341 1341 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1266 62 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-1))
 (1138 38 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (1128 8 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (1028 1028 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (1015 365 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (948 948 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (906 126 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (888 251 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (857 570 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (794 100 (:REWRITE HIFAT-SUBSETP-REFLEXIVE-LEMMA-3))
 (777 227 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (689 689 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (646 148 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (633 3 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (632 94 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (626 1 (:REWRITE APPEND-WHEN-PREFIXP))
 (624 624 (:TYPE-PRESCRIPTION M1-FILE-HIFAT-FILE-ALIST-FIX))
 (620 68 (:REWRITE SUBSETP-CAR-MEMBER))
 (598 182 (:DEFINITION NATP))
 (558 4 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (556 160 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (552 113 (:REWRITE COMMUTATIVITY-OF-+))
 (552 44 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (514 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (502 8 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (492 492 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-HIFAT-FILE-ALIST-FIX))
 (460 12 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (419 339 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (409 69 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (405 3 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (404 4 (:REWRITE CONSP-OF-NTHCDR))
 (367 201 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (340 3 (:REWRITE EQUAL-OF-FRAME-VAL))
 (338 338 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-CORRECTNESS-1 . 2))
 (324 324 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (308 77 (:REWRITE STR::EXPLODE-OF-IMPLODE))
 (306 10 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-63))
 (290 58 (:LINEAR INSERT-TEXT-CORRECTNESS-3 . 2))
 (288 288 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-1))
 (287 287 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (287 287 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (287 287 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (287 287 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (278 116 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (256 256 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (227 227 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (208 208 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (203 203 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (198 11 (:DEFINITION TRUE-LISTP))
 (196 98 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (193 4 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (187 187 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (183 183 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (174 58 (:DEFINITION NFIX))
 (167 167 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (164 164 (:TYPE-PRESCRIPTION M1-FILE->D-E$INLINE))
 (157 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (147 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (145 94 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (138 12 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (136 68 (:REWRITE SET-EQUIV-ASYM))
 (133 133 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (132 22 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (128 128 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (126 126 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (120 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (119 119 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (117 39 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (116 116 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (96 45 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (96 45 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (92 6 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (89 89 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (89 89 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (84 84 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (83 83 (:TYPE-PRESCRIPTION D-E-P))
 (79 79 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (77 77 (:REWRITE STR::MAKE-CHARACTER-LIST-IS-IDENTITY-UNDER-CHARLISTEQV))
 (74 68 (:REWRITE MEMBER-WHEN-ATOM))
 (73 4 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-2))
 (72 36 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (69 23 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (68 68 (:TYPE-PRESCRIPTION SET-EQUIV))
 (68 68 (:REWRITE SUBSETP-OF-CDR))
 (68 68 (:REWRITE SUBSETP-MEMBER . 4))
 (68 68 (:REWRITE SUBSETP-MEMBER . 3))
 (68 68 (:REWRITE SUBSETP-MEMBER . 2))
 (68 68 (:REWRITE SUBSETP-MEMBER . 1))
 (68 68 (:REWRITE INTERSECTP-MEMBER . 3))
 (68 68 (:REWRITE INTERSECTP-MEMBER . 2))
 (66 22 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (66 11 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (60 60 (:TYPE-PRESCRIPTION NAMES-AT))
 (60 60 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (60 60 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (60 60 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (60 60 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (60 23 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (60 12 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (57 57 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (57 57 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (56 56 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (54 38 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (54 12 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (53 53 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (52 3 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (50 12 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (48 48 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (46 46 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (44 44 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (44 22 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (44 11 (:TYPE-PRESCRIPTION ABS-PWRITE-CORRECTNESS-LEMMA-7))
 (44 8 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (40 8 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-2))
 (39 39 (:REWRITE D-E-P-OF-M1-FILE->D-E))
 (38 38 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (37 3 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (37 3 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (35 35 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (35 35 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (35 35 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (35 35 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (30 30 (:TYPE-PRESCRIPTION NATP-OF-ABS-PLACE-FILE-HELPER))
 (30 30 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (30 15 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (28 2 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (24 24 (:REWRITE ABS-FILE-ALIST-P-OF-COLLAPSE))
 (23 23 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (22 22 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (22 22 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (22 22 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (22 22 (:REWRITE SET::IN-SET))
 (21 21 (:TYPE-PRESCRIPTION ABS-PLACE-FILE-HELPER-OF-APPEND-LEMMA-2))
 (20 20 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (18 18 (:REWRITE NOT-M1-REGULAR-FILE-P-OF-M1-FILE-HIFAT-FILE-ALIST-FIX))
 (16 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (15 15 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (15 9 (:REWRITE CONSP-OF-STRIP-CARS))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (12 12 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (12 12 (:REWRITE SUBSETP-TRANS2))
 (12 12 (:REWRITE SUBSETP-TRANS))
 (12 12 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (11 11 (:TYPE-PRESCRIPTION NAT-EQUIV$INLINE))
 (11 11 (:TYPE-PRESCRIPTION FIND-NEW-INDEX-CORRECTNESS-LEMMA-1))
 (11 1 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (9 9 (:TYPE-PRESCRIPTION FRAME-VAL))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (8 4 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (8 2 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (6 6 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (6 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (4 4 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 1))
 (4 4 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (4 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (3 3 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (3 3 (:REWRITE ABS-FS-P-OF-ABS-PLACE-FILE-HELPER))
 (3 1 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 2))
 (2 2 (:TYPE-PRESCRIPTION NULL))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (2 2 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (2 2 (:REWRITE ABS-NO-DUPS-P-OF-FRAME-VAL->DIR))
 (2 2 (:DEFINITION NULL))
 (1 1 (:REWRITE-QUOTED-CONSTANT TRUE-FIX-UNDER-TRUE-EQUIV))
 (1 1 (:REWRITE PUT-ASSOC-UNDER-HIFAT-EQUIV-3))
 (1 1 (:REWRITE PUT-ASSOC-UNDER-HIFAT-EQUIV-1))
 (1 1 (:REWRITE HIFAT-EQUIV-OF-PUT-ASSOC-2))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-38
 (2371 581 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1665 5 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (978 163 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-12))
 (650 7 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (598 90 (:REWRITE DEFAULT-CDR))
 (594 4 (:REWRITE NFIX-WHEN-ZP))
 (580 37 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-9))
 (562 9 (:REWRITE ZP-OPEN))
 (474 14 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (459 16 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (439 6 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (429 11 (:REWRITE M1-FILE-CONTENTS-FIX-WHEN-M1-FILE-CONTENTS-P))
 (408 11 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (395 11 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (333 11 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (298 80 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (280 24 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (264 2 (:REWRITE FIND-NEW-INDEX-CORRECTNESS-1))
 (260 8 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (252 8 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (248 30 (:DEFINITION ASSOC-EQUAL))
 (222 37 (:TYPE-PRESCRIPTION ABS-PWRITE-CORRECTNESS-LEMMA-7))
 (222 3 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (216 19 (:DEFINITION LEN))
 (188 6 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (170 11 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (166 2 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (148 2 (:LINEAR INSERT-TEXT-CORRECTNESS-3 . 1))
 (142 3 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (138 135 (:REWRITE DEFAULT-CAR))
 (136 13 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (134 8 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (130 28 (:REWRITE DEFAULT-<-2))
 (125 3 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (123 11 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (120 5 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (114 3 (:DEFINITION PUT-ASSOC-EQUAL))
 (114 2 (:LINEAR ABS-MKDIR-CORRECTNESS-LEMMA-9))
 (112 56 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-INSERT-TEXT))
 (108 8 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (100 17 (:DEFINITION STRIP-CARS))
 (98 22 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (97 22 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (93 22 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (90 90 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (80 80 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (80 4 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (80 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (69 27 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (69 23 (:REWRITE DEFAULT-+-2))
 (68 1 (:REWRITE EQUAL-OF-M1-FILE))
 (66 66 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (64 14 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (58 4 (:REWRITE NFIX-WHEN-NATP))
 (54 2 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (53 11 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (52 9 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (52 1 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (51 3 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (49 6 (:REWRITE MEMBER-WHEN-ATOM))
 (48 28 (:REWRITE DEFAULT-<-1))
 (48 8 (:REWRITE INSERT-TEXT-CORRECTNESS-4))
 (42 42 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (40 40 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (37 37 (:TYPE-PRESCRIPTION FIND-NEW-INDEX-CORRECTNESS-LEMMA-1))
 (31 23 (:REWRITE DEFAULT-+-1))
 (30 4 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (28 8 (:DEFINITION NATP))
 (28 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (27 27 (:TYPE-PRESCRIPTION STRIP-CARS))
 (26 2 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (26 1 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (25 25 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (25 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (24 6 (:REWRITE STR::EXPLODE-OF-IMPLODE))
 (24 5 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (24 3 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (22 22 (:REWRITE SUBSETP-TRANS2))
 (22 22 (:REWRITE SUBSETP-TRANS))
 (21 7 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (20 20 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (20 20 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (20 20 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (18 18 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (18 8 (:REWRITE CONSP-OF-STRIP-CARS))
 (18 6 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (16 16 (:REWRITE SUBSETP-MEMBER . 2))
 (15 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (14 14 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (14 14 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (14 2 (:REWRITE COMMUTATIVITY-OF-+))
 (12 12 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (12 12 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (12 12 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (12 12 (:LINEAR LEN-WHEN-PREFIXP))
 (12 12 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (12 3 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (11 11 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (11 11 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (11 11 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (11 1 (:REWRITE SUBSETP-CAR-MEMBER))
 (10 2 (:LINEAR INSERT-TEXT-CORRECTNESS-3 . 2))
 (10 1 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-1 . 1))
 (9 9 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (9 9 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (8 8 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (8 8 (:REWRITE SUBSETP-MEMBER . 4))
 (8 8 (:REWRITE SUBSETP-MEMBER . 3))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 3))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 2))
 (6 6 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (6 6 (:REWRITE STR::MAKE-CHARACTER-LIST-IS-IDENTITY-UNDER-CHARLISTEQV))
 (6 2 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (6 2 (:DEFINITION NFIX))
 (5 5 (:REWRITE FRAME-P-OF-PARTIAL-COLLAPSE))
 (5 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (5 5 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (5 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (5 1 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (4 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (3 3 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (3 3 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (3 3 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (3 3 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (3 3 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (3 1 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (2 2 (:TYPE-PRESCRIPTION NFIX))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (2 2 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (2 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (2 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (2 1 (:REWRITE SET-EQUIV-ASYM))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:TYPE-PRESCRIPTION D-E-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (1 1 (:REWRITE SUBSETP-OF-CDR))
 (1 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (1 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-PARTIAL-COLLAPSE))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE D-E-P-OF-M1-FILE->D-E))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-16
 (3152 788 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2440 34 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (2105 95 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (1448 50 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1392 89 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (1149 56 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (678 115 (:DEFINITION STRIP-CARS))
 (604 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (602 56 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (588 588 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (550 48 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (546 546 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (480 6 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (457 129 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (442 414 (:REWRITE DEFAULT-CAR))
 (442 1 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (421 294 (:REWRITE DEFAULT-CDR))
 (421 55 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (370 12 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (324 74 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (324 13 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (323 23 (:REWRITE ZP-OPEN))
 (316 99 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (311 6 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (299 47 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (284 89 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (277 17 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (264 12 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (217 17 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (216 6 (:REWRITE LEN-OF-DIRNAME))
 (195 13 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (183 183 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (183 183 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (178 34 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (175 16 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (172 36 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (168 6 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (160 36 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (150 6 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (144 144 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (144 36 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (143 50 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (133 1 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (129 129 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (127 1 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (114 18 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (113 113 (:TYPE-PRESCRIPTION STRIP-CARS))
 (112 112 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (112 63 (:REWRITE DEFAULT-<-2))
 (112 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (102 14 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (94 19 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (94 11 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (93 31 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (90 5 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (90 5 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (90 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (89 2 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (84 53 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (75 10 (:DEFINITION LEN))
 (74 74 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (72 72 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (72 8 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (71 63 (:REWRITE DEFAULT-<-1))
 (70 5 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (66 6 (:REWRITE SUBSETP-CAR-MEMBER))
 (66 6 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (65 8 (:DEFINITION NATP))
 (62 62 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (62 31 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (57 6 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (55 5 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-11))
 (54 54 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (53 53 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (53 2 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (48 6 (:DEFINITION NFIX))
 (47 21 (:REWRITE DEFAULT-+-2))
 (46 1 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (43 1 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (42 7 (:REWRITE NFIX-WHEN-ZP))
 (36 36 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (36 36 (:REWRITE SUBSETP-TRANS2))
 (36 36 (:REWRITE SUBSETP-TRANS))
 (36 24 (:REWRITE CONSP-OF-STRIP-CARS))
 (36 7 (:REWRITE NFIX-WHEN-NATP))
 (35 15 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (35 7 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (34 34 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (31 31 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (30 6 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (30 5 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (28 1 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (25 5 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (24 6 (:REWRITE MEMBER-WHEN-ATOM))
 (22 22 (:REWRITE CDR-CONS))
 (22 11 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (21 21 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (21 21 (:REWRITE DEFAULT-+-1))
 (20 5 (:TYPE-PRESCRIPTION PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-19))
 (18 18 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (17 17 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (17 17 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (17 17 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (17 17 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (17 1 (:DEFINITION NAT-EQUIV$INLINE))
 (15 5 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (14 14 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (12 12 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (12 12 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (12 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (12 6 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (12 6 (:REWRITE SET-EQUIV-ASYM))
 (11 11 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (11 3 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (11 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (10 10 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (9 1 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (9 1 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (9 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (8 8 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (8 8 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (6 6 (:TYPE-PRESCRIPTION SET-EQUIV))
 (6 6 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (6 6 (:REWRITE SUBSETP-OF-CDR))
 (6 6 (:REWRITE SUBSETP-MEMBER . 4))
 (6 6 (:REWRITE SUBSETP-MEMBER . 3))
 (6 6 (:REWRITE SUBSETP-MEMBER . 2))
 (6 6 (:REWRITE SUBSETP-MEMBER . 1))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 3))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 2))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (6 6 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (6 6 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (6 6 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (6 1 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (5 5 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (5 5 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (5 5 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (5 5 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 (4 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-1))
 (3 3 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (2 2 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2 2 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1 1 (:TYPE-PRESCRIPTION NAT-EQUIV$INLINE))
 (1 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-3))
 (1 1 (:REWRITE NFIX-UNDER-NAT-EQUIV))
 )
(LEMMA
 (3474 864 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1284 13 (:REWRITE NFIX-WHEN-ZP))
 (1080 30 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (877 24 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (826 59 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-9))
 (680 20 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (626 16 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (576 139 (:REWRITE DEFAULT-CDR))
 (554 31 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (532 23 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (475 50 (:DEFINITION ASSOC-EQUAL))
 (380 380 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (380 380 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (377 7 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-32))
 (330 7 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (325 13 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (312 7 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 1))
 (311 7 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (297 31 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (248 4 (:LINEAR ABS-MKDIR-CORRECTNESS-LEMMA-9))
 (240 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (237 31 (:REWRITE DEFAULT-<-2))
 (216 6 (:REWRITE LEN-OF-DIRNAME))
 (206 201 (:REWRITE DEFAULT-CAR))
 (161 49 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (158 158 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (142 24 (:DEFINITION STRIP-CARS))
 (142 4 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (127 1 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (100 100 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (98 7 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (90 90 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (90 8 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (89 25 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (89 2 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (81 24 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (78 3 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (75 10 (:DEFINITION LEN))
 (74 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (74 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (70 30 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (67 6 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (62 22 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (60 10 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (60 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (53 2 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (51 3 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (51 1 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (48 16 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (48 6 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (48 6 (:DEFINITION NFIX))
 (47 21 (:REWRITE DEFAULT-+-2))
 (46 1 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (45 45 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (45 45 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (45 45 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (45 3 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (45 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (44 2 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (43 1 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (40 40 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (39 31 (:REWRITE DEFAULT-<-1))
 (36 36 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (32 32 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (32 16 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (30 3 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-1 . 1))
 (30 3 (:DEFINITION NATP))
 (29 13 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (28 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (27 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (27 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (25 25 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (25 6 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (25 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (24 24 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (24 24 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (24 6 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (24 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (22 22 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (21 21 (:REWRITE DEFAULT-+-1))
 (20 20 (:TYPE-PRESCRIPTION M1-FILE-P))
 (18 18 (:TYPE-PRESCRIPTION STRIP-CARS))
 (17 1 (:DEFINITION NAT-EQUIV$INLINE))
 (12 12 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (12 12 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (12 6 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (11 1 (:REWRITE SUBSETP-CAR-MEMBER))
 (11 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (10 10 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (10 10 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (9 9 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (9 1 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (9 1 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (9 1 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (6 6 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (6 6 (:REWRITE SUBSETP-TRANS2))
 (6 6 (:REWRITE SUBSETP-TRANS))
 (6 6 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (6 6 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (6 6 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (6 4 (:REWRITE CONSP-OF-STRIP-CARS))
 (6 1 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (5 5 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (5 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4 1 (:REWRITE MEMBER-WHEN-ATOM))
 (3 3 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (3 3 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (3 3 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (3 1 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2 2 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 1 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (2 1 (:REWRITE SET-EQUIV-ASYM))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:TYPE-PRESCRIPTION NAT-EQUIV$INLINE))
 (1 1 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1 1 (:REWRITE SUBSETP-OF-CDR))
 (1 1 (:REWRITE SUBSETP-MEMBER . 4))
 (1 1 (:REWRITE SUBSETP-MEMBER . 3))
 (1 1 (:REWRITE SUBSETP-MEMBER . 2))
 (1 1 (:REWRITE SUBSETP-MEMBER . 1))
 (1 1 (:REWRITE NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FAT32-FILENAME-P-OF-BASENAME))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-92
 (500960 5 (:DEFINITION COLLAPSE))
 (482439 18 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (421100 263 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (395448 4814 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (364914 4780 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (363772 3654 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (303548 544 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (282034 3728 (:REWRITE LEN-WHEN-PREFIXP))
 (272536 6128 (:DEFINITION LEN))
 (266543 3957 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (255245 4067 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (192342 3553 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (179990 10 (:DEFINITION COLLAPSE-THIS))
 (174184 14 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (173550 5 (:REWRITE EQUAL-OF-FRAME-VAL))
 (173252 20 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (173203 5 (:REWRITE ABS-FS-P-OF-CTX-APP))
 (153212 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (111893 4523 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (110156 3795 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (78760 1822 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (66903 220 (:REWRITE CONSP-OF-NTHCDR))
 (63672 15256 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (46399 1 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-1 . 1))
 (24703 4160 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (22592 5304 (:REWRITE DEFAULT-<-2))
 (21364 1289 (:REWRITE NFIX-WHEN-ZP))
 (21312 6376 (:REWRITE DEFAULT-+-2))
 (20901 715 (:REWRITE ZP-OPEN))
 (18606 5304 (:REWRITE DEFAULT-<-1))
 (16622 4638 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (15372 15372 (:LINEAR LEN-WHEN-PREFIXP))
 (15120 3909 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (14654 14654 (:TYPE-PRESCRIPTION PREFIXP))
 (13592 128 (:REWRITE FAT32-FILENAME-LIST-P-OF-NTHCDR))
 (13337 160 (:REWRITE LEN-OF-NTHCDR))
 (13011 151 (:DEFINITION 1ST-COMPLETE))
 (12930 12930 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (12446 4100 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (12113 3909 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (10834 1289 (:REWRITE NFIX-WHEN-NATP))
 (10459 1630 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (10384 4638 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (7830 334 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (7016 6376 (:REWRITE DEFAULT-+-1))
 (6834 6834 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (6516 6 (:DEFINITION DIST-NAMES))
 (6369 183 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (5925 33 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (5740 2670 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (5518 1 (:DEFINITION ABS-SEPARATE))
 (5369 5369 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (5169 662 (:DEFINITION ASSOC-EQUAL))
 (4819 1502 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (4644 486 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (3957 3957 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (3957 3957 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (3957 3957 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (3957 3957 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (3850 110 (:DEFINITION NFIX))
 (3674 1103 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (3382 330 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (3177 693 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (3150 3115 (:REWRITE DEFAULT-CAR))
 (2702 58 (:DEFINITION NATP))
 (2592 2588 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2586 2586 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (2563 19 (:DEFINITION NTHCDR))
 (2209 2209 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (2003 33 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1867 509 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1661 499 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1555 4 (:DEFINITION HIFAT-FIND-FILE))
 (1492 60 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (1480 20 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (1373 12 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (1174 541 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (1171 541 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1170 5 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (1163 2 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (1038 654 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (952 22 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (920 460 (:REWRITE SET-EQUIV-ASYM))
 (913 5 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-3))
 (906 151 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (870 29 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (808 22 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-3))
 (800 160 (:REWRITE DEFAULT-UNARY-MINUS))
 (780 151 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (735 735 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (718 2 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (681 183 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (672 336 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (666 169 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (652 13 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (644 6 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (582 582 (:REWRITE SUBSETP-TRANS2))
 (582 582 (:REWRITE SUBSETP-TRANS))
 (579 9 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (513 513 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (509 509 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (498 166 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (460 460 (:TYPE-PRESCRIPTION SET-EQUIV))
 (460 460 (:REWRITE SUBSETP-OF-CDR))
 (460 4 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-1))
 (456 456 (:REWRITE SUBSETP-REFL))
 (413 7 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (410 206 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (386 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (368 24 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (366 200 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (358 1 (:DEFINITION HIFAT-NO-DUPS-P))
 (355 326 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (352 24 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (341 214 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (340 4 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (334 65 (:DEFINITION STRIP-CARS))
 (332 332 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (332 166 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (332 20 (:REWRITE ASSOC-AFTER-REMOVE-ASSOC))
 (304 304 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (304 304 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (300 20 (:DEFINITION TRUE-LISTP))
 (286 7 (:DEFINITION PUT-ASSOC-EQUAL))
 (264 4 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (260 260 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (260 143 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (260 4 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (259 10 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (258 19 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (256 128 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (256 11 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (255 19 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (252 14 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (237 9 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (234 18 (:REWRITE ABS-SEPARATE-CORRECTNESS-2))
 (220 20 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (217 217 (:TYPE-PRESCRIPTION NATP))
 (214 214 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (210 14 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (209 126 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (208 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-73))
 (207 126 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (200 200 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (190 40 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (175 23 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (173 7 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (164 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (160 160 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (158 158 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (151 151 (:TYPE-PRESCRIPTION NAMES-AT))
 (151 151 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (148 148 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (144 144 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (143 143 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (128 12 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (125 14 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (123 12 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (120 33 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (108 18 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (104 7 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (100 100 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (100 40 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (99 2 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (96 96 (:REWRITE CAR-OF-NTHCDR))
 (96 9 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (78 78 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (78 13 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (77 5 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (76 10 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (76 4 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-1))
 (74 74 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (71 71 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (71 71 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (70 20 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (65 49 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (64 64 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (64 6 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (62 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (60 60 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (60 60 (:TYPE-PRESCRIPTION D-E-P))
 (60 30 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (59 59 (:TYPE-PRESCRIPTION NFIX))
 (58 58 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-6))
 (57 57 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (54 54 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (51 4 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (50 50 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (50 50 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (50 50 (:REWRITE CONSP-OF-LIST-FIX))
 (49 49 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (48 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-65))
 (47 8 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (46 3 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (42 14 (:REWRITE COMMUTATIVITY-OF-+))
 (41 41 (:TYPE-PRESCRIPTION ABS-FS-P))
 (40 40 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (40 40 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (40 20 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (40 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (37 9 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (36 9 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (36 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (35 35 (:TYPE-PRESCRIPTION CTX-APP))
 (35 35 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (34 10 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (32 10 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (30 30 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (30 30 (:REWRITE SET::IN-SET))
 (30 5 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (30 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (28 7 (:TYPE-PRESCRIPTION ABS-PWRITE-CORRECTNESS-LEMMA-7))
 (27 27 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (27 27 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (26 26 (:REWRITE FAT32-FILENAME-LIST-P-OF-DIRNAME))
 (26 4 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (26 1 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (25 5 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (23 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-1))
 (23 1 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (23 1 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (20 20 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (20 4 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-2))
 (20 1 (:DEFINITION FRAME-ADDRS-ROOT))
 (19 19 (:TYPE-PRESCRIPTION STRIP-CARS))
 (19 19 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (19 19 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (19 19 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (19 19 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (19 19 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (19 19 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (19 19 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (19 19 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (19 19 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (19 19 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (19 19 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (19 19 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (18 9 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (18 2 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (18 2 (:REWRITE HIFAT-SUBSETP-REFLEXIVE-LEMMA-3))
 (15 15 (:TYPE-PRESCRIPTION FRAME-VAL))
 (14 14 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (14 14 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (13 13 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (13 2 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (12 12 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (12 12 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (12 1 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (11 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-2))
 (10 10 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (10 10 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (10 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (10 4 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (9 7 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (9 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (9 1 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (8 8 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (8 8 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (8 8 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (8 8 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (8 8 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (8 8 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (8 1 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (7 7 (:TYPE-PRESCRIPTION FIND-NEW-INDEX-CORRECTNESS-LEMMA-1))
 (7 7 (:REWRITE INTERSECTP-MEMBER . 1))
 (7 7 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (7 4 (:REWRITE MEMBER-WHEN-ATOM))
 (6 6 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (6 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-COLLAPSE))
 (6 4 (:REWRITE CONSP-OF-STRIP-CARS))
 (5 5 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (5 5 (:REWRITE SUBSETP-MEMBER . 2))
 (5 5 (:REWRITE SUBSETP-MEMBER . 1))
 (5 5 (:REWRITE ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 (4 4 (:REWRITE SUBSETP-MEMBER . 4))
 (4 4 (:REWRITE SUBSETP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-9))
 (4 4 (:REWRITE ABS-FS-P-OF-COLLAPSE))
 (4 2 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (4 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-10))
 (3 3 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (3 3 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (3 3 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (2 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (2 1 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (2 1 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (1 1 (:TYPE-PRESCRIPTION ATOM))
 (1 1 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (1 1 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-14))
 (1 1 (:REWRITE ABS-NO-DUPS-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-95))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-38))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-25
 (276 2 (:REWRITE FIND-NEW-INDEX-CORRECTNESS-1))
 (236 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (204 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (190 2 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (172 16 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (148 74 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (120 4 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (111 37 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-9))
 (110 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (82 6 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (70 3 (:REWRITE ZP-OPEN))
 (64 1 (:REWRITE NFIX-WHEN-ZP))
 (62 16 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (56 16 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (56 2 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (38 4 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (36 2 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (36 2 (:DEFINITION FRAME-ADDRS-ROOT))
 (35 23 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (24 6 (:DEFINITION STRIP-CARS))
 (21 21 (:REWRITE DEFAULT-CAR))
 (20 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (16 16 (:REWRITE SUBSETP-TRANS2))
 (16 16 (:REWRITE SUBSETP-TRANS))
 (16 1 (:LINEAR ABS-MKDIR-CORRECTNESS-LEMMA-9))
 (15 1 (:REWRITE MEMBER-WHEN-ATOM))
 (14 14 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (14 4 (:REWRITE DEFAULT-<-2))
 (14 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (14 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (13 13 (:REWRITE DEFAULT-CDR))
 (12 12 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (10 2 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (8 8 (:TYPE-PRESCRIPTION STRIP-CARS))
 (6 6 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (6 2 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (4 4 (:REWRITE DEFAULT-<-1))
 (4 4 (:REWRITE CONSP-OF-STRIP-CARS))
 (3 3 (:REWRITE SUBSETP-MEMBER . 2))
 (3 3 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE SUBSETP-MEMBER . 4))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 3))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-26
 (102175 297 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (97992 486 (:REWRITE HIFAT-NO-DUPS-P-OF-HIFAT-PLACE-FILE))
 (41139 1387 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (33210 598 (:REWRITE M1-FILE-CONTENTS-FIX-WHEN-M1-FILE-CONTENTS-P))
 (30894 3957 (:DEFINITION LEN))
 (29494 477 (:DEFINITION PUT-ASSOC-EQUAL))
 (26310 291 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (22334 986 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (19055 8301 (:REWRITE DEFAULT-+-2))
 (17610 2560 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (17113 219 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (16627 640 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (16466 1683 (:DEFINITION ASSOC-EQUAL))
 (15165 227 (:LINEAR INSERT-TEXT-CORRECTNESS-3 . 1))
 (14865 14173 (:REWRITE DEFAULT-CDR))
 (13316 3329 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (12818 2097 (:REWRITE NFIX-WHEN-ZP))
 (11818 640 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (11001 147 (:REWRITE EQUAL-OF-M1-FILE))
 (10818 106 (:REWRITE M1-FILE->CONTENTS-OF-M1-FILE))
 (10214 3329 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (10091 9600 (:REWRITE DEFAULT-CAR))
 (9635 1870 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (9579 1862 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (9113 8301 (:REWRITE DEFAULT-+-1))
 (8956 1497 (:DEFINITION STRIP-CARS))
 (8798 1574 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (7070 1010 (:REWRITE FOLD-CONSTS-IN-+))
 (6761 247 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (6248 1464 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (6206 678 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (5081 5081 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (4790 348 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (4459 2793 (:REWRITE DEFAULT-<-2))
 (4446 4446 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-INSERT-TEXT))
 (4320 4320 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (4311 431 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (4179 2793 (:REWRITE DEFAULT-<-1))
 (3950 3950 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (3550 3550 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (3263 278 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-10))
 (3030 1010 (:REWRITE UNICITY-OF-0))
 (3012 502 (:REWRITE INSERT-TEXT-CORRECTNESS-4))
 (2740 1930 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2730 640 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (2596 744 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2338 392 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (2233 679 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (2213 2213 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (2038 479 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (2020 1010 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (1685 222 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (1493 227 (:REWRITE COMMUTATIVITY-OF-+))
 (1460 1460 (:LINEAR LEN-WHEN-PREFIXP))
 (1460 1460 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1453 467 (:DEFINITION NATP))
 (1269 640 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (1230 235 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1188 104 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1135 227 (:LINEAR INSERT-TEXT-CORRECTNESS-3 . 2))
 (1043 1043 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (986 986 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-1))
 (961 961 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (961 961 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (935 935 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (935 935 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (935 935 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (935 935 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (836 836 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (836 209 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (825 275 (:REWRITE STR::EXPLODE-OF-IMPLODE))
 (798 26 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (744 744 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (684 684 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (684 684 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (684 684 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (681 227 (:DEFINITION NFIX))
 (678 678 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (672 13 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (627 209 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (588 588 (:TYPE-PRESCRIPTION M1-FILE-HIFAT-FILE-ALIST-FIX))
 (572 26 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (560 108 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (493 493 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (480 480 (:TYPE-PRESCRIPTION NATP))
 (473 473 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (473 473 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (418 418 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (395 395 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (369 78 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (364 13 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (364 13 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (343 78 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (330 110 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (318 318 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (318 318 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (318 318 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (275 275 (:REWRITE STR::MAKE-CHARACTER-LIST-IS-IDENTITY-UNDER-CHARLISTEQV))
 (244 244 (:TYPE-PRESCRIPTION M1-FILE->D-E$INLINE))
 (243 243 (:TYPE-PRESCRIPTION STRIP-CARS))
 (222 222 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (222 222 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (222 222 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (209 209 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (207 207 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (143 13 (:REWRITE SUBSETP-CAR-MEMBER))
 (143 13 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (140 140 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (131 131 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (131 131 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (122 13 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (110 110 (:TYPE-PRESCRIPTION D-E-P))
 (110 110 (:REWRITE D-E-P-OF-M1-FILE->D-E))
 (87 13 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (78 78 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (78 78 (:REWRITE SUBSETP-TRANS2))
 (78 78 (:REWRITE SUBSETP-TRANS))
 (78 78 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (78 52 (:REWRITE CONSP-OF-STRIP-CARS))
 (64 16 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE-CONTENTS-FIX))
 (62 62 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (52 52 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (52 13 (:REWRITE MEMBER-WHEN-ATOM))
 (39 39 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (28 28 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (26 26 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (26 26 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (26 13 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (26 13 (:REWRITE SET-EQUIV-ASYM))
 (19 19 (:TYPE-PRESCRIPTION NFIX))
 (13 13 (:TYPE-PRESCRIPTION SET-EQUIV))
 (13 13 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (13 13 (:REWRITE SUBSETP-OF-CDR))
 (13 13 (:REWRITE SUBSETP-MEMBER . 4))
 (13 13 (:REWRITE SUBSETP-MEMBER . 3))
 (13 13 (:REWRITE SUBSETP-MEMBER . 2))
 (13 13 (:REWRITE SUBSETP-MEMBER . 1))
 (13 13 (:REWRITE INTERSECTP-MEMBER . 3))
 (13 13 (:REWRITE INTERSECTP-MEMBER . 2))
 (13 13 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (13 13 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (13 13 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (13 13 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (13 13 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (13 13 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE M1-FILE-P-OF-M1-FILE))
 (4 4 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-33
 (328 82 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-36
 (880 177 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (386 386 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE))
 (276 1 (:LINEAR PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9))
 (201 35 (:REWRITE DEFAULT-CDR))
 (134 14 (:DEFINITION ASSOC-EQUAL))
 (52 52 (:REWRITE DEFAULT-CAR))
 (51 1 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-6 . 2))
 (38 2 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (36 4 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (30 5 (:DEFINITION STRIP-CARS))
 (28 28 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (18 6 (:REWRITE DEFAULT-+-2))
 (18 1 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (18 1 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (12 8 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (12 2 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-1 . 1))
 (11 11 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (10 10 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (8 5 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (7 2 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (6 6 (:TYPE-PRESCRIPTION PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-19))
 (6 6 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (6 6 (:REWRITE DEFAULT-+-1))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (5 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (5 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (4 4 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 4 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (4 4 (:LINEAR LEN-WHEN-PREFIXP))
 (4 4 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4 1 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (2 2 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2 2 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (2 2 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2 2 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (1 1 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-39
 (3518 11 (:LINEAR PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9))
 (1733 52 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-36))
 (1584 298 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1401 333 (:REWRITE DEFAULT-CDR))
 (1274 135 (:DEFINITION ASSOC-EQUAL))
 (1098 3 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (1079 580 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (988 988 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE))
 (773 1 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (643 2 (:REWRITE LEN-WHEN-PREFIXP))
 (473 470 (:REWRITE DEFAULT-CAR))
 (426 62 (:DEFINITION LEN))
 (270 270 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (260 52 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (226 2 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (190 32 (:DEFINITION STRIP-CARS))
 (186 62 (:REWRITE DEFAULT-+-2))
 (104 4 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-6 . 2))
 (78 13 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-1 . 1))
 (72 46 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (62 62 (:REWRITE DEFAULT-+-1))
 (52 52 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (51 18 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (51 1 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (46 46 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (42 42 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (38 38 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (38 4 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (38 4 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (36 4 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-6 . 3))
 (33 33 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (30 30 (:LINEAR LEN-WHEN-PREFIXP))
 (28 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (25 19 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (25 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (24 24 (:TYPE-PRESCRIPTION PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-19))
 (24 24 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (22 22 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (19 13 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (17 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (16 16 (:TYPE-PRESCRIPTION STRIP-CARS))
 (16 16 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (16 13 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (16 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (14 14 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (14 14 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (14 14 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (14 4 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (14 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (13 4 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (12 12 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (12 12 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (12 12 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (12 12 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (12 6 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (11 2 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (11 1 (:REWRITE SUBSETP-CAR-MEMBER))
 (11 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (9 6 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (8 8 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (7 1 (:DEFINITION NATP))
 (6 1 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (5 2 (:REWRITE DEFAULT-<-1))
 (5 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4 4 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (4 2 (:REWRITE DEFAULT-<-2))
 (4 1 (:REWRITE MEMBER-WHEN-ATOM))
 (3 3 (:TYPE-PRESCRIPTION ABS-FS-P))
 (3 3 (:REWRITE CONSP-OF-STRIP-CARS))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2 2 (:REWRITE SUBSETP-TRANS2))
 (2 2 (:REWRITE SUBSETP-TRANS))
 (2 2 (:REWRITE SUBSETP-REFL))
 (2 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2 1 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (2 1 (:REWRITE SET-EQUIV-ASYM))
 (2 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1 1 (:REWRITE SUBSETP-OF-CDR))
 (1 1 (:REWRITE SUBSETP-MEMBER . 4))
 (1 1 (:REWRITE SUBSETP-MEMBER . 3))
 (1 1 (:REWRITE SUBSETP-MEMBER . 2))
 (1 1 (:REWRITE SUBSETP-MEMBER . 1))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-27
 (736 184 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (297 9 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (190 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (154 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (117 8 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (114 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (106 16 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (73 13 (:REWRITE DEFAULT-CDR))
 (68 68 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (53 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-63))
 (48 48 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (46 6 (:DEFINITION ASSOC-EQUAL))
 (40 4 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (32 32 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (30 5 (:DEFINITION STRIP-CARS))
 (28 28 (:REWRITE DEFAULT-CAR))
 (28 4 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (28 2 (:REWRITE ZP-OPEN))
 (26 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (25 3 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (22 16 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (22 6 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (20 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (20 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-10))
 (19 1 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (18 18 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (17 3 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (15 7 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (15 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (12 12 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (10 8 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (10 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (9 9 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (9 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (8 8 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (8 8 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (8 4 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (8 4 (:REWRITE DEFAULT-<-2))
 (8 2 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (7 7 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (7 7 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (7 7 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (6 6 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (6 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (6 3 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (6 2 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (6 2 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (6 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 4 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (4 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (4 4 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE DEFAULT-<-1))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (4 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (4 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (3 3 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (2 2 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE))
 (2 2 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (2 2 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (2 2 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (2 2 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (2 2 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (2 2 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE FRAME-P-OF-PARTIAL-COLLAPSE))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-35
 (1244 311 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (337 337 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (313 5 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (155 5 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (128 12 (:REWRITE DEFAULT-CDR))
 (123 16 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (122 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (118 10 (:DEFINITION ASSOC-EQUAL))
 (115 10 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (108 2 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (104 4 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (60 11 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (52 4 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-1))
 (51 14 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (46 4 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (33 10 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (30 30 (:REWRITE DEFAULT-CAR))
 (30 18 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (28 2 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (25 25 (:TYPE-PRESCRIPTION ABS-FS-P))
 (20 20 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (18 18 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (15 3 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (10 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (10 10 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (10 10 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (9 3 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (8 8 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (8 8 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (8 8 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-P))
 (6 6 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6 2 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (2 2 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-31
 (780 195 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (325 12 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (299 11 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (160 2 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-27))
 (154 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (153 2 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (116 4 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (114 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (111 15 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (100 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (89 6 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (78 18 (:REWRITE DEFAULT-CDR))
 (68 68 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (68 9 (:DEFINITION ASSOC-EQUAL))
 (53 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-63))
 (48 48 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (40 4 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (37 37 (:REWRITE DEFAULT-CAR))
 (32 32 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (30 5 (:DEFINITION STRIP-CARS))
 (28 2 (:REWRITE ZP-OPEN))
 (27 3 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (26 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (25 5 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (25 3 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (22 6 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (21 15 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (20 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (19 1 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (18 18 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (18 18 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (17 3 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (16 16 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (15 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (14 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-10))
 (12 10 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (11 11 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (10 10 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (10 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (9 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (8 8 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (8 8 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (8 8 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (8 8 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (8 4 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (8 4 (:REWRITE DEFAULT-<-2))
 (8 2 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (6 6 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (6 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (6 2 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (6 2 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (6 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (5 5 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (5 5 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (5 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 4 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (4 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (4 4 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE DEFAULT-<-1))
 (4 4 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (4 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (4 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (3 3 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (2 2 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE))
 (2 2 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (2 2 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (2 2 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (2 2 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (2 2 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE FRAME-P-OF-PARTIAL-COLLAPSE))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-34
 (19280 4820 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2422 491 (:REWRITE DEFAULT-CDR))
 (2067 176 (:DEFINITION ASSOC-EQUAL))
 (1768 27 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (1477 62 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (929 58 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (876 6 (:REWRITE LEN-OF-DIRNAME))
 (850 34 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (767 38 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (734 716 (:REWRITE DEFAULT-CAR))
 (685 10 (:DEFINITION LEN))
 (621 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (526 89 (:DEFINITION STRIP-CARS))
 (458 1 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (412 412 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (404 38 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (366 366 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (366 32 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (352 352 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (348 2 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (320 4 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (303 87 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (303 43 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (277 1 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (254 58 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (247 17 (:REWRITE ZP-OPEN))
 (246 8 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (222 52 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (220 9 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (214 67 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (207 4 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (203 35 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (195 151 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (185 26 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (183 2 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (176 8 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (176 1 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (175 67 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (172 1 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (162 4 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (136 1 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (135 9 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (116 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (114 24 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (112 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (106 24 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (103 15 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (100 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (97 34 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (96 96 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (96 24 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (90 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (88 49 (:REWRITE DEFAULT-<-2))
 (87 87 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (87 13 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (83 11 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (75 75 (:TYPE-PRESCRIPTION STRIP-CARS))
 (73 6 (:DEFINITION NFIX))
 (70 16 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (67 67 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (67 67 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (67 67 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (63 49 (:REWRITE DEFAULT-<-1))
 (63 21 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (62 7 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (59 6 (:DEFINITION NATP))
 (56 56 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (56 35 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (54 6 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (54 3 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (52 21 (:REWRITE DEFAULT-+-2))
 (52 7 (:REWRITE NFIX-WHEN-ZP))
 (50 4 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (48 48 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (46 7 (:REWRITE NFIX-WHEN-NATP))
 (44 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (44 4 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (42 42 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (42 21 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (36 36 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (35 35 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (28 1 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (26 26 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (25 5 (:TYPE-PRESCRIPTION PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-19))
 (25 5 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (24 24 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (24 24 (:REWRITE SUBSETP-TRANS2))
 (24 24 (:REWRITE SUBSETP-TRANS))
 (24 16 (:REWRITE CONSP-OF-STRIP-CARS))
 (21 21 (:REWRITE DEFAULT-+-1))
 (21 21 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (20 4 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (18 18 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
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 (14 7 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (13 3 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (12 12 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (11 11 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (11 11 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (11 11 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (11 1 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (11 1 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (11 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (11 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (10 10 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
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 (8 8 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (8 8 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (8 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (7 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (7 1 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
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 (6 6 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (5 5 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (4 4 (:TYPE-PRESCRIPTION SET-EQUIV))
 (4 4 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE SUBSETP-MEMBER . 4))
 (4 4 (:REWRITE SUBSETP-MEMBER . 3))
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 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (4 4 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (4 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-1))
 (3 3 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (3 3 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (2 2 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2 2 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1 1 (:TYPE-PRESCRIPTION NAT-EQUIV$INLINE))
 (1 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-3))
 (1 1 (:REWRITE NFIX-UNDER-NAT-EQUIV))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-67
 (16 1 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (13 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (10 1 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (4 1 (:REWRITE NFIX-WHEN-ZP))
 (3 3 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2 2 (:TYPE-PRESCRIPTION ZP))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2 1 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (2 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1 1 (:REWRITE ZP-OPEN))
 (1 1 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-12
 (3528618 18 (:DEFINITION COLLAPSE))
 (2751690 36 (:DEFINITION COLLAPSE-THIS))
 (2272676 36 (:DEFINITION CTX-APP))
 (2233146 138 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (1962162 28540 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (1932922 4804 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (1783456 20046 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (1759486 1642 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (1740966 28708 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (1511302 21006 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (1471162 108 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (1449836 18096 (:REWRITE LEN-WHEN-PREFIXP))
 (1404317 83225 (:REWRITE DEFAULT-CDR))
 (1387704 41220 (:DEFINITION LEN))
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 (1337442 21252 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1180850 16339 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1102359 11654 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1085900 72 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (1065685 1501 (:DEFINITION ABS-ADDRS))
 (1064600 13295 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1023837 8791 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1012686 36 (:DEFINITION ABS-PUT-ASSOC-DEFINITION))
 (1010526 36 (:REWRITE EQUAL-OF-ABS-FILE))
 (1009986 36 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (1009662 36 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (1007844 36 (:REWRITE ABS-ADDRS-OF-CTX-APP-2))
 (904006 18852 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (854742 26734 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (788418 3540 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (705498 240 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (688836 216 (:REWRITE REMOVE-WHEN-ABSENT))
 (595776 72 (:DEFINITION REMOVE-EQUAL))
 (579307 307 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (489354 11124 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (483902 6265 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (456970 18 (:REWRITE EQUAL-OF-FRAME-VAL))
 (456798 3102 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (455872 18 (:REWRITE ABS-FS-P-OF-CTX-APP))
 (402682 78066 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (397542 3576 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (395220 5400 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (366900 558 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (360200 1120 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (309582 3150 (:DEFINITION 1ST-COMPLETE))
 (265749 49688 (:REWRITE DEFAULT-CAR))
 (258532 10249 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (225136 26710 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (200448 3258 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (169757 8231 (:REWRITE NFIX-WHEN-ZP))
 (165936 34722 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (154278 498 (:REWRITE CONSP-OF-NTHCDR))
 (133852 12006 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (121573 41635 (:REWRITE DEFAULT-+-2))
 (109135 35369 (:REWRITE DEFAULT-<-2))
 (106708 18819 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (91284 3600 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (90770 31336 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
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 (88405 35369 (:REWRITE DEFAULT-<-1))
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 (79816 13494 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (78876 78876 (:LINEAR LEN-WHEN-PREFIXP))
 (77654 77654 (:TYPE-PRESCRIPTION PREFIXP))
 (76056 1336 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (74696 74696 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (73368 576 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (69876 27406 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
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 (46224 2217 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (44304 240 (:REWRITE FAT32-FILENAME-LIST-P-OF-NTHCDR))
 (42835 41635 (:REWRITE DEFAULT-+-1))
 (41060 41060 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (40898 40874 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
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 (36504 6 (:DEFINITION ABS-SEPARATE))
 (36432 24 (:DEFINITION DIST-NAMES))
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 (35354 11078 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (34606 25215 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (32442 102 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (31890 31890 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (31336 31336 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (29788 16339 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (29752 29752 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (29196 300 (:REWRITE LEN-OF-NTHCDR))
 (28822 14880 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (28416 126 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (25215 25215 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (24102 36 (:REWRITE ABS-ADDRS-OF-CTX-APP-LEMMA-6))
 (23184 660 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (21848 4074 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (21338 8791 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (21168 3024 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (21006 21006 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (21006 21006 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (21006 21006 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (21006 21006 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (19722 5336 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (18900 3150 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (18137 1537 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (17690 17690 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (17616 3984 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (16362 3202 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
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 (15326 15326 (:REWRITE SUBSETP-TRANS))
 (15214 1675 (:DEFINITION NATP))
 (14798 14798 (:TYPE-PRESCRIPTION M1-FILE-P))
 (14784 660 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (14142 12504 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (12679 53 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (12616 6308 (:REWRITE SET-EQUIV-ASYM))
 (12600 3150 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (12294 1135 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (10896 72 (:DEFINITION NTHCDR))
 (10709 1585 (:DEFINITION NFIX))
 (9698 9698 (:REWRITE SUBSETP-OF-CDR))
 (9090 126 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (9006 9006 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (8587 1715 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (8388 8388 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (8214 1208 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (8108 8108 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (8080 3944 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (7200 7200 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (6978 12 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (6348 696 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (6308 6308 (:TYPE-PRESCRIPTION SET-EQUIV))
 (5634 48 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (5352 216 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (5329 5329 (:TYPE-PRESCRIPTION NATP))
 (5328 72 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (5251 5251 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (4980 996 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
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 (4692 3480 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (4642 4642 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
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 (4588 4588 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4548 4548 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
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 (2898 708 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (2822 2822 (:REWRITE SUBSETP-REFL))
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 (2382 581 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
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 (1980 12 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (1968 96 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (1962 1962 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
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 )
(ABS-PWRITE-CORRECTNESS-LEMMA-101
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 (20408 29 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-3))
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 (18400 23 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (17794 17794 (:TYPE-PRESCRIPTION NATP))
 (16686 16686 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (16608 16608 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
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 (9729 9729 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (9552 2136 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
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 )
(ABS-PWRITE-CORRECTNESS-LEMMA-104
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 (2333 2333 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (2247 9 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (2216 194 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-4))
 (2176 320 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-12))
 (2168 432 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (2143 431 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (2128 2128 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (1983 439 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1982 662 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (1976 662 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1961 276 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (1875 1875 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-6))
 (1828 194 (:REWRITE ABS-SEPARATE-OF-REMOVE-ASSOC))
 (1786 150 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (1779 149 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (1747 135 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (1693 1693 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (1599 340 (:REWRITE CONSP-OF-DIRNAME))
 (1583 525 (:REWRITE COMMUTATIVITY-OF-+))
 (1480 1480 (:TYPE-PRESCRIPTION ABS-FILE))
 (1439 1439 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (1370 1365 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (1320 1312 (:REWRITE DEFAULT-+-1))
 (1300 325 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1299 433 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (1216 1216 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1216 1216 (:REWRITE SUBSETP-OF-CDR))
 (1216 1216 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (1198 440 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1138 1138 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (1138 1138 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (1099 28 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (964 964 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (956 239 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (930 155 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-2))
 (872 872 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (871 871 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (864 432 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (848 848 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (820 41 (:DEFINITION FRAME-ADDRS-ROOT))
 (779 2 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (662 662 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (608 608 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (587 4 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-1))
 (482 482 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (435 435 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (433 433 (:TYPE-PRESCRIPTION D-E-P))
 (432 432 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (432 432 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (429 429 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (424 4 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (391 391 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (390 390 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (353 353 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (320 320 (:REWRITE CAR-OF-NTHCDR))
 (304 304 (:REWRITE ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 (285 11 (:REWRITE M1-FILE-CONTENTS-FIX-WHEN-M1-FILE-CONTENTS-P))
 (251 2 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (223 4 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (211 211 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-95))
 (210 210 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-7))
 (175 28 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (168 24 (:TYPE-PRESCRIPTION ABS-PWRITE-CORRECTNESS-LEMMA-7))
 (158 156 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (157 157 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (149 149 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-9))
 (118 28 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (107 107 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (100 2 (:LINEAR INSERT-TEXT-CORRECTNESS-3 . 1))
 (89 13 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (80 40 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-INSERT-TEXT))
 (76 2 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (72 8 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (64 64 (:TYPE-PRESCRIPTION HIFAT-FIND-FILE))
 (61 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (54 1 (:REWRITE EQUAL-OF-M1-FILE))
 (44 2 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (38 2 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (28 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (28 1 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (27 27 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (27 27 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (26 6 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (24 24 (:TYPE-PRESCRIPTION FIND-NEW-INDEX-CORRECTNESS-LEMMA-1))
 (24 6 (:REWRITE STR::EXPLODE-OF-IMPLODE))
 (20 4 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-2))
 (19 19 (:TYPE-PRESCRIPTION STRIP-CARS))
 (18 18 (:REWRITE ABS-FILE-ALIST-P-OF-COLLAPSE))
 (17 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (16 16 (:REWRITE ABS-FS-P-OF-ABS-ALLOC-1))
 (12 12 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (12 12 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (10 2 (:LINEAR INSERT-TEXT-CORRECTNESS-3 . 2))
 (9 9 (:REWRITE ABS-FS-P-OF-COLLAPSE))
 (6 6 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (6 6 (:REWRITE SUBSETP-TRANS2))
 (6 6 (:REWRITE SUBSETP-TRANS))
 (6 6 (:REWRITE STR::MAKE-CHARACTER-LIST-IS-IDENTITY-UNDER-CHARLISTEQV))
 (6 4 (:REWRITE CONSP-OF-STRIP-CARS))
 (6 2 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (5 5 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (4 4 (:REWRITE ABS-FS-P-OF-ABS-ALLOC-2))
 (3 3 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (3 3 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-17))
 (3 1 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (2 2 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 1))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE D-E-P-OF-M1-FILE->D-E))
 (1 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-14))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-4
 (37438 9342 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (27773 3867 (:REWRITE DEFAULT-CDR))
 (16948 8 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-56))
 (14644 7 (:DEFINITION NTHCDR))
 (12655 229 (:REWRITE NFIX-WHEN-ZP))
 (12493 110 (:REWRITE ZP-OPEN))
 (10723 13 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (9406 16 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (8324 7 (:DEFINITION NAT-EQUIV$INLINE))
 (8257 14 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (5975 61 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (5772 57 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (5436 4 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (5294 3 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (5277 6 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (5269 57 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (5135 237 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (5079 36 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (4817 4800 (:REWRITE DEFAULT-CAR))
 (3570 6 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9 . 2))
 (3153 34 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (2910 60 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (2630 2630 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2456 968 (:REWRITE DEFAULT-+-2))
 (2382 398 (:DEFINITION STRIP-CARS))
 (2290 56 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2285 84 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (2249 9 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (2059 137 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (1830 76 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1759 69 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (1521 24 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (1493 116 (:DEFINITION NFIX))
 (1459 1459 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (1440 3 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (1152 165 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (1122 76 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1083 60 (:DEFINITION NATP))
 (1055 466 (:REWRITE DEFAULT-<-2))
 (1035 69 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (1008 466 (:REWRITE DEFAULT-<-1))
 (1003 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (968 968 (:REWRITE DEFAULT-+-1))
 (963 217 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (836 71 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (833 237 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (815 1 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (811 573 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (786 231 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (778 84 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (736 58 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (705 705 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (583 583 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (575 575 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (575 575 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (564 564 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (564 141 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (510 29 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (492 3 (:REWRITE FIND-NEW-INDEX-CORRECTNESS-1))
 (455 26 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (442 138 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (432 6 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (427 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (426 426 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (424 424 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (421 12 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (359 6 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (317 317 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (304 74 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (282 282 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (276 90 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (276 54 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (267 15 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (246 72 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (244 54 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (241 54 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (238 238 (:LINEAR LEN-WHEN-PREFIXP))
 (232 232 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (231 231 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (217 217 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (155 3 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (136 1 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (128 60 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (128 43 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (120 12 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (112 4 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (111 6 (:REWRITE MEMBER-WHEN-ATOM))
 (108 54 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (104 24 (:TYPE-PRESCRIPTION ABS-PWRITE-CORRECTNESS-LEMMA-7))
 (98 15 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (95 3 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (90 43 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (86 86 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (84 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (82 21 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (78 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (75 3 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (72 72 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (72 8 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (68 68 (:TYPE-PRESCRIPTION STRIP-CARS))
 (64 21 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (63 36 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (62 6 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (61 13 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (60 60 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (60 42 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (59 59 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (57 8 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (57 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (56 56 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (56 56 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (56 56 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (56 56 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (54 54 (:REWRITE SUBSETP-TRANS2))
 (54 54 (:REWRITE SUBSETP-TRANS))
 (54 36 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (48 24 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (48 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (42 42 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (42 42 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (42 42 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (38 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-42))
 (36 36 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (36 18 (:REWRITE CONSP-OF-STRIP-CARS))
 (33 33 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (33 3 (:REWRITE SUBSETP-CAR-MEMBER))
 (31 31 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (30 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-130))
 (26 26 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (26 6 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (25 5 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (24 24 (:TYPE-PRESCRIPTION FIND-NEW-INDEX-CORRECTNESS-LEMMA-1))
 (24 24 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (24 24 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (24 15 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (21 7 (:REWRITE COMMUTATIVITY-OF-+))
 (19 3 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (18 18 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (18 18 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (18 9 (:REWRITE SET-EQUIV-ASYM))
 (18 6 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (16 16 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (15 15 (:REWRITE SUBSETP-OF-CDR))
 (15 3 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (13 3 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (11 11 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (10 10 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (9 9 (:TYPE-PRESCRIPTION SET-EQUIV))
 (9 9 (:REWRITE SUBSETP-MEMBER . 2))
 (9 9 (:REWRITE SUBSETP-MEMBER . 1))
 (9 9 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (8 8 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (8 8 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (8 1 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (7 7 (:TYPE-PRESCRIPTION NAT-EQUIV$INLINE))
 (7 7 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (6 6 (:REWRITE SUBSETP-MEMBER . 4))
 (6 6 (:REWRITE SUBSETP-MEMBER . 3))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 3))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 2))
 (6 6 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (6 6 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (6 6 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (6 6 (:REWRITE ABS-FS-P-OF-ABS-ALLOC-2))
 (4 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-1))
 (3 3 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (3 3 (:REWRITE NFIX-UNDER-NAT-EQUIV))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (3 3 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (3 3 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (2 2 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (2 2 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-17))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-28
 (10636 14 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (10293 7 (:DEFINITION NTHCDR))
 (9360 204 (:REWRITE NFIX-WHEN-ZP))
 (9251 2411 (:REWRITE DEFAULT-CDR))
 (8215 762 (:DEFINITION ASSOC-EQUAL))
 (8132 20 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (5661 14 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (5582 140 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (5280 66 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (4414 6 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (4230 201 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (3512 51 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (3433 24 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (3428 185 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (3271 106 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (3102 3068 (:REWRITE DEFAULT-CAR))
 (2817 140 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (2789 121 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2638 2148 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (2410 20 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (2285 31 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2276 382 (:DEFINITION STRIP-CARS))
 (2011 67 (:DEFINITION NATP))
 (1559 516 (:REWRITE DEFAULT-+-2))
 (1524 1524 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1485 59 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (1263 480 (:REWRITE DEFAULT-<-2))
 (1253 248 (:REWRITE CONSP-OF-DIRNAME))
 (1182 32 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (1166 14 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1151 191 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (1124 100 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1119 1119 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (1116 480 (:REWRITE DEFAULT-<-1))
 (1102 171 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (909 201 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (885 59 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (826 74 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (750 81 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (722 226 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (622 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (598 90 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (598 90 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (561 18 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (542 171 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (532 532 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (532 133 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (525 2 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (522 132 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (516 516 (:REWRITE DEFAULT-+-1))
 (463 121 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (459 15 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (458 1 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (432 1 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (397 19 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (358 358 (:LINEAR LEN-WHEN-PREFIXP))
 (352 352 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (324 165 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (280 16 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (279 279 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (266 266 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (243 52 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (236 52 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (226 226 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (224 8 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (208 12 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (191 191 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (190 43 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (184 9 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (165 165 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (165 165 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (165 165 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (162 20 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (160 1 (:REWRITE FIND-NEW-INDEX-CORRECTNESS-1))
 (159 53 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (154 9 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (136 1 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (128 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-63))
 (106 106 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (106 53 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (88 8 (:REWRITE SUBSETP-CAR-MEMBER))
 (81 9 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (78 6 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (78 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (65 13 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (63 9 (:REWRITE MEMBER-WHEN-ATOM))
 (56 56 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (56 56 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (54 54 (:REWRITE SUBSETP-TRANS))
 (53 53 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (50 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (48 48 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (48 16 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (45 45 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (45 45 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (45 45 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (45 45 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (40 8 (:TYPE-PRESCRIPTION ABS-PWRITE-CORRECTNESS-LEMMA-7))
 (36 12 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (35 35 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (33 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (31 31 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (28 28 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (27 27 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (26 26 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (24 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-10))
 (21 21 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (21 7 (:REWRITE COMMUTATIVITY-OF-+))
 (18 18 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (16 16 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (16 8 (:REWRITE SET-EQUIV-ASYM))
 (15 3 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (10 10 (:TYPE-PRESCRIPTION SET-EQUIV))
 (10 10 (:REWRITE SUBSETP-MEMBER . 2))
 (10 10 (:REWRITE SUBSETP-MEMBER . 1))
 (10 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-130))
 (9 9 (:REWRITE SUBSETP-MEMBER . 4))
 (9 9 (:REWRITE SUBSETP-MEMBER . 3))
 (9 9 (:REWRITE INTERSECTP-MEMBER . 3))
 (9 9 (:REWRITE INTERSECTP-MEMBER . 2))
 (8 8 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (8 8 (:TYPE-PRESCRIPTION FIND-NEW-INDEX-CORRECTNESS-LEMMA-1))
 (8 8 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (8 8 (:REWRITE SUBSETP-OF-CDR))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (8 8 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (7 1 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (6 6 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE->CONTENTS-OF-HIFAT-FIND-FILE))
 (6 6 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (6 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (3 3 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (2 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (1 1 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (1 1 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-30
 (23997 5992 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (5528 4 (:DEFINITION NTHCDR))
 (5304 8 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (5203 495 (:DEFINITION ASSOC-EQUAL))
 (5085 1483 (:REWRITE DEFAULT-CDR))
 (3721 66 (:REWRITE ZP-OPEN))
 (3586 100 (:REWRITE NFIX-WHEN-ZP))
 (3145 143 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (2742 8 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (2593 33 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (2047 2029 (:REWRITE DEFAULT-CAR))
 (1611 102 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (1594 267 (:DEFINITION STRIP-CARS))
 (1312 66 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (1123 44 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (1101 37 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1060 48 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1025 1025 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (990 990 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (778 113 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (711 273 (:REWRITE DEFAULT-+-2))
 (660 44 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (602 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (566 566 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (546 48 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (470 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (462 134 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (447 143 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (417 1 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (394 394 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (380 380 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (380 95 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (366 32 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (352 48 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (350 102 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (312 144 (:REWRITE DEFAULT-<-2))
 (273 273 (:REWRITE DEFAULT-+-1))
 (264 82 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (253 63 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (246 8 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (230 115 (:REWRITE CONSP-OF-DIRNAME))
 (229 102 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (207 4 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (204 204 (:LINEAR LEN-WHEN-PREFIXP))
 (200 200 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (194 194 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (190 190 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (178 9 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (176 8 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (168 144 (:REWRITE DEFAULT-<-1))
 (150 1 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (144 31 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (140 5 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (134 134 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (133 1 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (115 37 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (114 24 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (112 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (109 1 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (106 24 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (102 102 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (102 102 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (102 102 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (102 102 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (100 6 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (100 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (100 1 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (81 2 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (78 26 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (78 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (75 75 (:TYPE-PRESCRIPTION STRIP-CARS))
 (73 9 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (72 10 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (70 1 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (64 13 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (63 7 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (62 36 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (60 8 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (58 5 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (52 52 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (52 26 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (50 9 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (50 3 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (46 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (45 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (44 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (44 4 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (36 36 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (28 4 (:DEFINITION NATP))
 (25 5 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (24 24 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (24 24 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (24 24 (:REWRITE SUBSETP-TRANS2))
 (24 24 (:REWRITE SUBSETP-TRANS))
 (24 16 (:REWRITE CONSP-OF-STRIP-CARS))
 (23 23 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (20 4 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (16 4 (:REWRITE MEMBER-WHEN-ATOM))
 (15 15 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (12 12 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (12 4 (:REWRITE COMMUTATIVITY-OF-+))
 (11 3 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (10 10 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (10 10 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (10 5 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (10 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (10 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (9 9 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (9 9 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (8 8 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (8 8 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (8 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (5 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (4 4 (:TYPE-PRESCRIPTION SET-EQUIV))
 (4 4 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE SUBSETP-MEMBER . 4))
 (4 4 (:REWRITE SUBSETP-MEMBER . 3))
 (4 4 (:REWRITE SUBSETP-MEMBER . 2))
 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (4 4 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (4 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-1))
 (3 3 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (3 1 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (1 1 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1 1 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1 1 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1 1 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1 1 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-32
 (20037 3043 (:REWRITE DEFAULT-CDR))
 (19120 191 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-36))
 (14802 7 (:DEFINITION NTHCDR))
 (13227 14 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (12217 1071 (:DEFINITION ASSOC-EQUAL))
 (11476 162 (:REWRITE NFIX-WHEN-ZP))
 (9331 14 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (8429 5 (:DEFINITION NAT-EQUIV$INLINE))
 (8362 14 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (7927 113 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (4226 197 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (3987 3967 (:REWRITE DEFAULT-CAR))
 (3660 67 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (2218 371 (:DEFINITION STRIP-CARS))
 (2210 159 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (2142 2142 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1925 113 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (1878 68 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1589 69 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1562 617 (:REWRITE DEFAULT-+-2))
 (1466 58 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (1461 6 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (1324 103 (:DEFINITION NFIX))
 (1135 23 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1098 13 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1014 57 (:DEFINITION NATP))
 (993 160 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (926 926 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (904 179 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (889 406 (:REWRITE DEFAULT-<-2))
 (870 58 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (819 34 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (816 64 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (783 406 (:REWRITE DEFAULT-<-1))
 (723 197 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (693 17 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (617 617 (:REWRITE DEFAULT-+-1))
 (604 490 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (570 6 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (552 65 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (524 154 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (505 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (495 495 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (495 495 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (495 495 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (476 476 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (476 119 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (474 40 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (465 465 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (458 1 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (426 106 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (385 14 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (379 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-5))
 (371 4 (:REWRITE ABS-SEPARATE-CORRECTNESS-2))
 (356 111 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (333 74 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (327 1 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (323 10 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (321 12 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (283 67 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (283 8 (:REWRITE LEN-WHEN-PREFIXP))
 (281 8 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (275 8 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (272 272 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (266 15 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (244 35 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (238 238 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (221 11 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (210 12 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (207 4 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (202 31 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (197 49 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (180 9 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (179 179 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (160 32 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (160 8 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (160 1 (:REWRITE FIND-NEW-INDEX-CORRECTNESS-1))
 (155 32 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (154 154 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (153 1 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (146 5 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (144 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-63))
 (140 5 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (136 1 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (128 128 (:LINEAR LEN-WHEN-PREFIXP))
 (122 122 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (112 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (106 34 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (105 35 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (100 8 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (98 98 (:TYPE-PRESCRIPTION NATP))
 (90 10 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (79 79 (:TYPE-PRESCRIPTION STRIP-CARS))
 (78 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (76 8 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (74 74 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (72 8 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (70 70 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (70 35 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (65 5 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (56 56 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (54 2 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (53 53 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (53 17 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (50 10 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (50 1 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-17))
 (47 5 (:REWRITE MEMBER-WHEN-ATOM))
 (44 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (40 8 (:TYPE-PRESCRIPTION ABS-PWRITE-CORRECTNESS-LEMMA-7))
 (38 38 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (38 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (34 34 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (33 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (32 32 (:REWRITE SUBSETP-TRANS2))
 (32 32 (:REWRITE SUBSETP-TRANS))
 (30 30 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (30 18 (:REWRITE CONSP-OF-STRIP-CARS))
 (27 27 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (24 24 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (21 7 (:REWRITE COMMUTATIVITY-OF-+))
 (20 20 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (20 20 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (20 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-10))
 (18 18 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (18 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (16 16 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (15 15 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (14 14 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (13 3 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (12 2 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (10 10 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (10 4 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (10 4 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (10 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-130))
 (8 8 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (8 8 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (8 8 (:TYPE-PRESCRIPTION FIND-NEW-INDEX-CORRECTNESS-LEMMA-1))
 (8 8 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (8 8 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (8 8 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (8 8 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (8 8 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (8 8 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (7 7 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (7 1 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (6 6 (:REWRITE SUBSETP-MEMBER . 2))
 (6 6 (:REWRITE SUBSETP-MEMBER . 1))
 (5 5 (:TYPE-PRESCRIPTION NAT-EQUIV$INLINE))
 (5 5 (:REWRITE SUBSETP-MEMBER . 4))
 (5 5 (:REWRITE SUBSETP-MEMBER . 3))
 (5 5 (:REWRITE INTERSECTP-MEMBER . 3))
 (5 5 (:REWRITE INTERSECTP-MEMBER . 2))
 (5 5 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (5 5 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE->CONTENTS-OF-HIFAT-FIND-FILE))
 (4 4 (:TYPE-PRESCRIPTION SET-EQUIV))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (4 4 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (4 4 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (3 3 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (3 3 (:REWRITE NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (1 1 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (1 1 (:REWRITE ABS-FS-P-OF-ABS-ALLOC-2))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-87
 (2752 52 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (1572 91 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (1481 88 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (1475 55 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1284 57 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1003 5 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (974 276 (:REWRITE DEFAULT-CDR))
 (818 18 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (789 10 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (706 53 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (690 116 (:DEFINITION STRIP-CARS))
 (653 653 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (643 27 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (603 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (568 14 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (492 5 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (468 54 (:DEFINITION ASSOC-EQUAL))
 (446 57 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (439 1 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (419 1 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (418 403 (:REWRITE DEFAULT-CAR))
 (367 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-5))
 (362 362 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (362 362 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (359 359 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (359 4 (:REWRITE ABS-SEPARATE-CORRECTNESS-2))
 (355 105 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (333 83 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (322 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-73))
 (303 11 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (293 87 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (278 9 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (274 24 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (243 54 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (240 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (232 14 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (220 9 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (216 6 (:REWRITE LEN-OF-DIRNAME))
 (195 91 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (194 28 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (184 6 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (183 59 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (174 54 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (162 25 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (155 3 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (150 1 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (146 71 (:REWRITE DEFAULT-<-2))
 (144 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-63))
 (143 7 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (135 9 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (133 1 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (132 6 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (127 1 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (123 9 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (116 28 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (116 7 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (108 108 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (108 108 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (108 108 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (108 27 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (105 105 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (89 2 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (86 29 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (85 18 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (85 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (84 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (83 27 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (81 9 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (79 71 (:REWRITE DEFAULT-<-1))
 (79 18 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (77 6 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (75 10 (:DEFINITION LEN))
 (72 72 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (62 29 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (59 59 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (58 58 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (56 56 (:TYPE-PRESCRIPTION STRIP-CARS))
 (54 54 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (53 2 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (52 4 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (48 8 (:REWRITE NFIX-WHEN-ZP))
 (48 6 (:DEFINITION NFIX))
 (47 21 (:REWRITE DEFAULT-+-2))
 (47 1 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-10))
 (46 1 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (45 9 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (44 44 (:TYPE-PRESCRIPTION NATP))
 (44 14 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (44 5 (:DEFINITION NATP))
 (43 1 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (42 8 (:REWRITE NFIX-WHEN-NATP))
 (38 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (33 3 (:REWRITE SUBSETP-CAR-MEMBER))
 (33 3 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (31 31 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (29 4 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (28 28 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (27 27 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (27 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (21 21 (:REWRITE DEFAULT-+-1))
 (21 21 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (19 19 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (18 18 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (18 18 (:REWRITE SUBSETP-TRANS2))
 (18 18 (:REWRITE SUBSETP-TRANS))
 (18 18 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (18 12 (:REWRITE CONSP-OF-STRIP-CARS))
 (17 1 (:DEFINITION NAT-EQUIV$INLINE))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (16 4 (:TYPE-PRESCRIPTION ABS-PWRITE-CORRECTNESS-LEMMA-7))
 (16 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-10))
 (14 14 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (13 13 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (13 13 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (13 13 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (12 3 (:REWRITE MEMBER-WHEN-ATOM))
 (12 2 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (11 11 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (11 11 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (11 3 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (10 10 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (9 9 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (9 9 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (9 1 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (9 1 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (8 8 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (7 7 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (6 6 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6 6 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (6 3 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (6 3 (:REWRITE SET-EQUIV-ASYM))
 (6 1 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (5 5 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (5 5 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (4 4 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (4 4 (:TYPE-PRESCRIPTION FIND-NEW-INDEX-CORRECTNESS-LEMMA-1))
 (4 4 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE->CONTENTS-OF-HIFAT-FIND-FILE))
 (3 3 (:TYPE-PRESCRIPTION SET-EQUIV))
 (3 3 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (3 3 (:REWRITE SUBSETP-OF-CDR))
 (3 3 (:REWRITE SUBSETP-MEMBER . 4))
 (3 3 (:REWRITE SUBSETP-MEMBER . 3))
 (3 3 (:REWRITE SUBSETP-MEMBER . 2))
 (3 3 (:REWRITE SUBSETP-MEMBER . 1))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 3))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 2))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (3 3 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (2 2 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (2 2 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2 2 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1 1 (:TYPE-PRESCRIPTION NAT-EQUIV$INLINE))
 (1 1 (:TYPE-PRESCRIPTION ATOM))
 (1 1 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (1 1 (:REWRITE NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-38))
 (1 1 (:REWRITE ABS-FS-P-OF-ABS-ALLOC-2))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-222
 (470 3 (:DEFINITION M1-FILE-CONTENTS-P))
 (243 23 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (201 16 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (185 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (168 17 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (128 12 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (126 9 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (118 23 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (104 13 (:DEFINITION LEN))
 (85 43 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (84 24 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (79 5 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (75 15 (:REWRITE DEFAULT-<-1))
 (64 64 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (53 4 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (39 13 (:REWRITE DEFAULT-+-2))
 (38 38 (:REWRITE DEFAULT-CDR))
 (34 34 (:TYPE-PRESCRIPTION ABS-FS-P))
 (30 30 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (30 30 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (24 24 (:LINEAR LEN-WHEN-PREFIXP))
 (24 24 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (23 23 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (21 21 (:REWRITE DEFAULT-CAR))
 (18 9 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (16 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (15 15 (:REWRITE DEFAULT-<-2))
 (13 13 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (13 13 (:REWRITE DEFAULT-+-1))
 (9 9 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (5 3 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (4 4 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-223
 (13593 253 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (13018 294 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (12108 80 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (7667 224 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (7370 282 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (6203 282 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (5822 1357 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (5510 12 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (4868 6 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-11))
 (4299 60 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (3940 130 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (3198 277 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (3045 60 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (2872 115 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (2651 888 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2532 578 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (2140 98 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (2004 298 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1793 164 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1613 155 (:DEFINITION ASSOC-EQUAL))
 (1396 298 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1304 1304 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (1296 296 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1278 98 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1174 60 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (1098 298 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1066 183 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1017 723 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (957 87 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (888 888 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (882 882 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (875 332 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (861 175 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (785 60 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (765 153 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (613 56 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (596 596 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (556 556 (:REWRITE DEFAULT-CAR))
 (522 87 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (508 508 (:REWRITE DEFAULT-CDR))
 (465 54 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (332 332 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (310 310 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (231 21 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (196 98 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (175 175 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (175 175 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (174 174 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (156 156 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (156 156 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (153 153 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (153 153 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (112 112 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (111 47 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (102 102 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (102 102 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (87 87 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (84 6 (:REWRITE ZP-OPEN))
 (82 6 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (80 80 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (60 60 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (60 60 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (58 14 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (52 52 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (52 52 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (52 52 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (49 10 (:REWRITE SUBSETP-MEMBER . 3))
 (41 41 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (41 41 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (35 23 (:REWRITE DEFAULT-<-2))
 (34 34 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (34 4 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (33 11 (:DEFINITION NATP))
 (33 10 (:REWRITE SUBSETP-MEMBER . 1))
 (30 30 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-79))
 (25 2 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (23 23 (:REWRITE DEFAULT-<-1))
 (18 3 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (16 4 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (16 4 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (13 13 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (10 10 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (10 10 (:REWRITE SUBSETP-MEMBER . 4))
 (10 10 (:REWRITE SUBSETP-MEMBER . 2))
 (10 10 (:REWRITE INTERSECTP-MEMBER . 3))
 (10 10 (:REWRITE INTERSECTP-MEMBER . 2))
 (10 2 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (8 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-6))
 (8 2 (:DEFINITION STRIP-CARS))
 (6 6 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (6 6 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 (6 1 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (5 1 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (4 4 (:REWRITE SUBSETP-TRANS2))
 (4 4 (:REWRITE SUBSETP-TRANS))
 (3 3 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (3 3 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (2 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (1 1 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (1 1 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-228
 (285 2 (:DEFINITION M1-FILE-CONTENTS-P))
 (220 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (188 2 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (139 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (131 13 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (119 9 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (116 74 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (110 8 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (88 32 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (74 2 (:DEFINITION UNSIGNED-BYTE-P))
 (72 2 (:DEFINITION INTEGER-RANGE-P))
 (62 13 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (60 60 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (58 3 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (58 3 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (56 5 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (42 42 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (39 13 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (36 35 (:REWRITE DEFAULT-CDR))
 (33 9 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (32 32 (:TYPE-PRESCRIPTION LEN))
 (32 31 (:REWRITE DEFAULT-CAR))
 (32 8 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (32 2 (:REWRITE LENGTH-WHEN-STRINGP))
 (26 6 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (24 24 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (20 4 (:REWRITE DEFAULT-<-1))
 (17 17 (:TYPE-PRESCRIPTION ABS-FS-P))
 (16 16 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (16 2 (:DEFINITION LEN))
 (14 2 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (14 1 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (13 13 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (12 12 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (12 12 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (8 8 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (8 8 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (8 8 (:LINEAR LEN-WHEN-PREFIXP))
 (8 8 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (8 4 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (6 3 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (6 2 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (6 2 (:REWRITE DEFAULT-+-2))
 (4 4 (:REWRITE DEFAULT-<-2))
 (4 2 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (3 3 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (3 1 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-P))
 (2 2 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (2 2 (:REWRITE DEFAULT-+-1))
 (2 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (2 1 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-235
 (96 24 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (45 24 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (36 4 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (17 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (15 3 (:REWRITE DEFAULT-<-1))
 (15 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (11 3 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (9 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (9 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (8 8 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (8 1 (:DEFINITION LEN))
 (6 6 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (6 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION ABS-FS-P))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE DEFAULT-CAR))
 (3 3 (:REWRITE DEFAULT-<-2))
 (3 1 (:REWRITE DEFAULT-+-2))
 (2 2 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (1 1 (:REWRITE DEFAULT-+-1))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-236
 (27992 514 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (15414 427 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (14270 423 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (11219 86 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (10038 428 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (8179 294 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (8008 132 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (7949 1818 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (7098 10 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (6290 89 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (6241 384 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (5857 6 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-11))
 (5257 289 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (5138 428 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4327 89 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (2882 265 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (2721 925 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2598 123 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (2551 151 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (2478 162 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (1968 173 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1778 1778 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (1738 89 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (1697 384 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1626 123 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1390 1015 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1313 361 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1173 1004 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1028 98 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (1026 399 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1012 151 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (990 89 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (945 945 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (925 925 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (820 164 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (759 71 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (642 624 (:REWRITE DEFAULT-CAR))
 (636 83 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (560 542 (:REWRITE DEFAULT-CDR))
 (558 93 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (399 399 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (357 357 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (334 334 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (327 3 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (288 80 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (279 3 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (246 123 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (246 3 (:DEFINITION REMOVE-EQUAL))
 (226 226 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (226 226 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (204 204 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (195 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-222))
 (195 3 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (171 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT))
 (164 164 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (164 164 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (151 151 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (144 18 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (142 142 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (126 102 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (126 9 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (106 28 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (104 104 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (104 104 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (89 89 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (70 5 (:REWRITE ZP-OPEN))
 (69 6 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (66 66 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (61 10 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (58 27 (:REWRITE SUBSETP-MEMBER . 1))
 (57 15 (:DEFINITION NATP))
 (57 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (54 23 (:REWRITE SUBSETP-MEMBER . 3))
 (54 8 (:DEFINITION STRIP-CARS))
 (49 49 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (49 49 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (49 49 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (48 3 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (45 45 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (45 24 (:REWRITE CONSP-OF-STRIP-CARS))
 (40 40 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (40 40 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (39 39 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (35 25 (:REWRITE DEFAULT-<-2))
 (33 3 (:REWRITE SUBSETP-CAR-MEMBER))
 (30 6 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (29 29 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-79))
 (27 27 (:REWRITE SUBSETP-MEMBER . 2))
 (25 25 (:REWRITE DEFAULT-<-1))
 (24 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (23 23 (:REWRITE SUBSETP-MEMBER . 4))
 (23 23 (:REWRITE INTERSECTP-MEMBER . 3))
 (23 23 (:REWRITE INTERSECTP-MEMBER . 2))
 (22 22 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (16 4 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (16 4 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (15 15 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (13 13 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (12 12 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (9 9 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (8 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-6))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (6 6 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (6 6 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (6 6 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 (6 3 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (6 3 (:REWRITE SET-EQUIV-ASYM))
 (4 4 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (4 4 (:REWRITE SUBSETP-TRANS2))
 (4 4 (:REWRITE SUBSETP-TRANS))
 (3 3 (:TYPE-PRESCRIPTION SET-EQUIV))
 (3 3 (:REWRITE SUBSETP-OF-CDR))
 (2 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-224
 (50333 360 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (31417 129 (:REWRITE LEN-WHEN-PREFIXP))
 (29649 1209 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (26686 188 (:REWRITE ZP-OPEN))
 (25606 123 (:REWRITE NFIX-WHEN-ZP))
 (24102 106 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (19266 1408 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (15611 833 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (15491 910 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (15237 129 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (14075 14003 (:REWRITE DEFAULT-CAR))
 (12762 2127 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-12))
 (11958 1998 (:DEFINITION STRIP-CARS))
 (11924 39 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (9463 1274 (:DEFINITION LEN))
 (9360 360 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (6638 6638 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (5820 780 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (5400 360 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (5354 201 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (4911 781 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (3985 65 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-6 . 1))
 (3930 3930 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (3914 1366 (:REWRITE DEFAULT-+-2))
 (3600 360 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-1 . 1))
 (3599 75 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (3456 518 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (3440 30 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (3228 150 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (3218 126 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (3004 102 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2880 2880 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (2880 720 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (2735 53 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (2592 1022 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-36))
 (2128 2128 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2083 910 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2066 20 (:REWRITE ABS-FIND-FILE-SRC-CORRECTNESS-1))
 (2025 189 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (2009 766 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1882 1882 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (1840 60 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (1829 766 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1710 114 (:DEFINITION TRUE-LISTP))
 (1679 30 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-222))
 (1569 1569 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1569 1569 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1569 1569 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (1483 55 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-32))
 (1468 1408 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1463 596 (:REWRITE DEFAULT-<-2))
 (1440 1440 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (1415 129 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1368 228 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1366 1366 (:REWRITE DEFAULT-+-1))
 (1336 1336 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (1336 1336 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (1304 833 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1265 417 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1218 399 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1209 1209 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (1140 1140 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (1087 55 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 1))
 (1013 596 (:REWRITE DEFAULT-<-1))
 (992 125 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (974 974 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (900 30 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (840 30 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (812 812 (:LINEAR LEN-WHEN-PREFIXP))
 (790 10 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-6 . 3))
 (780 780 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (780 780 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (766 766 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (684 228 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (662 662 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (660 30 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (658 160 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (604 16 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (541 487 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (456 456 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (456 456 (:TYPE-PRESCRIPTION D-E-P))
 (456 228 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (436 4 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (430 96 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (428 12 (:REWRITE ABS-MKDIR-GUARD-LEMMA-1))
 (427 208 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (420 420 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (420 15 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (417 417 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (410 96 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (408 204 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (375 15 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (352 54 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (350 158 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (349 58 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (343 208 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (342 112 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (330 330 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (330 330 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (330 330 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (330 330 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (326 326 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (324 16 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (272 15 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (256 71 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-6 . 2))
 (256 71 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-39))
 (237 79 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (236 16 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (228 228 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (228 228 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (228 228 (:REWRITE SET::IN-SET))
 (218 88 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (216 52 (:DEFINITION NATP))
 (210 210 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (197 53 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (180 180 (:TYPE-PRESCRIPTION PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-19))
 (165 15 (:REWRITE SUBSETP-CAR-MEMBER))
 (156 156 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (156 156 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (150 33 (:REWRITE MEMBER-WHEN-ATOM))
 (138 46 (:REWRITE COMMUTATIVITY-OF-+))
 (114 66 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (108 16 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (106 106 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (97 97 (:REWRITE SUBSETP-TRANS))
 (87 87 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (80 16 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (80 16 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (75 75 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (75 15 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (65 65 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (64 16 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (62 8 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (60 16 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (59 59 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (54 54 (:REWRITE SUBSETP-MEMBER . 4))
 (54 54 (:REWRITE INTERSECTP-MEMBER . 3))
 (54 54 (:REWRITE INTERSECTP-MEMBER . 2))
 (53 13 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (50 50 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (49 49 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (48 12 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (45 45 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (45 45 (:REWRITE SUBSETP-MEMBER . 2))
 (40 4 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-11))
 (36 36 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (34 34 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (32 32 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (30 30 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (30 30 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (30 30 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (30 15 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (30 15 (:REWRITE SET-EQUIV-ASYM))
 (28 28 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (28 28 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (27 7 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT))
 (24 12 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (19 19 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (16 16 (:TYPE-PRESCRIPTION SET-EQUIV))
 (16 16 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (15 15 (:REWRITE SUBSETP-OF-CDR))
 (15 15 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (15 15 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (15 15 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (15 15 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (15 15 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (12 12 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE))
 (12 12 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE))
 (12 2 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (8 8 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (4 4 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (4 4 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 (2 2 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-229
 (26749 843 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (24042 448 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (20079 1149 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (12085 362 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (9456 72 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (8564 375 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (7604 143 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (6836 251 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (6767 113 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (5925 8 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (5615 79 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (5576 1247 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (5339 320 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (4725 375 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4602 5 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-11))
 (4514 245 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3873 79 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (2327 215 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (2301 784 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2182 101 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (2158 127 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (2011 133 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (1575 148 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1561 79 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (1532 34 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (1491 1491 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (1421 320 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1323 101 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1290 1290 (:TYPE-PRESCRIPTION ABS-FS-P))
 (1281 122 (:DEFINITION ASSOC-EQUAL))
 (1146 843 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1101 301 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1002 9 (:REWRITE REMOVE-WHEN-ABSENT))
 (889 79 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (841 327 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (834 127 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (826 826 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (814 814 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (814 74 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (784 784 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (684 684 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (682 64 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (665 133 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (565 74 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (479 461 (:REWRITE DEFAULT-CAR))
 (457 439 (:REWRITE DEFAULT-CDR))
 (444 74 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (327 327 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (327 3 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (315 315 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (294 3 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (279 3 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (249 3 (:DEFINITION REMOVE-EQUAL))
 (244 244 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (240 68 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (202 202 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (202 101 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (195 195 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (195 195 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (195 3 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (166 166 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (162 30 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (153 153 (:TYPE-PRESCRIPTION STRIP-CARS))
 (133 133 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (133 133 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (128 128 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (127 127 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (126 9 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (120 15 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (107 83 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (88 88 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (88 88 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (79 79 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (65 65 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (57 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (56 56 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (56 4 (:REWRITE ZP-OPEN))
 (48 3 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (45 24 (:REWRITE CONSP-OF-STRIP-CARS))
 (45 12 (:REWRITE MEMBER-WHEN-ATOM))
 (42 12 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (36 6 (:DEFINITION STRIP-CARS))
 (36 3 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (34 34 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (34 34 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (34 34 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (34 34 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (34 34 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (34 34 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (33 33 (:TYPE-PRESCRIPTION NATP))
 (33 3 (:REWRITE SUBSETP-CAR-MEMBER))
 (31 31 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (30 30 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (27 6 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (24 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (23 23 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-79))
 (21 3 (:DEFINITION NATP))
 (19 11 (:REWRITE DEFAULT-<-2))
 (15 15 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (15 15 (:REWRITE SUBSETP-MEMBER . 2))
 (15 15 (:REWRITE SUBSETP-MEMBER . 1))
 (12 12 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (12 12 (:REWRITE SUBSETP-MEMBER . 4))
 (12 12 (:REWRITE SUBSETP-MEMBER . 3))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 3))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 2))
 (12 3 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (11 11 (:REWRITE DEFAULT-<-1))
 (9 9 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (7 7 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (6 6 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (6 3 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (6 3 (:REWRITE SET-EQUIV-ASYM))
 (5 5 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (5 5 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 (3 3 (:TYPE-PRESCRIPTION SET-EQUIV))
 (3 3 (:REWRITE SUBSETP-OF-CDR))
 (3 3 (:REWRITE MEMBER-OF-STRIP-CARS))
 (3 3 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (2 2 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-5))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-230
 (53056 137 (:LINEAR PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9))
 (48928 54 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (27145 167 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (23818 71 (:REWRITE LEN-WHEN-PREFIXP))
 (18754 4592 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (15112 1579 (:DEFINITION ASSOC-EQUAL))
 (14546 563 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (12736 66 (:REWRITE ZP-OPEN))
 (12351 48 (:REWRITE NFIX-WHEN-ZP))
 (10177 722 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (8777 509 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (8314 446 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (8200 74 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (6913 57 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6849 6785 (:REWRITE DEFAULT-CAR))
 (6192 1032 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-12))
 (5930 995 (:DEFINITION STRIP-CARS))
 (5783 15 (:REWRITE CONSP-OF-NTHCDR))
 (4642 611 (:DEFINITION LEN))
 (4602 177 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (4440 20 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (3621 438 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (3158 3158 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2850 372 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (2655 177 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (2280 275 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1962 1962 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (1871 649 (:REWRITE DEFAULT-+-2))
 (1770 177 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-1 . 1))
 (1507 73 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (1416 1416 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (1416 354 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (1365 539 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1315 500 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-36))
 (1296 54 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1275 241 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (1253 29 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (1233 418 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1202 40 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (1134 9 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (1121 509 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1120 28 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-6 . 1))
 (1065 29 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-32))
 (1037 7 (:REWRITE ABS-MKDIR-GUARD-LEMMA-1))
 (1030 9 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (1028 76 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1011 63 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (993 418 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (980 980 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (980 83 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (883 883 (:TYPE-PRESCRIPTION ABS-FS-P))
 (880 40 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (811 811 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (793 270 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (777 777 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (777 777 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (777 777 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (757 29 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 1))
 (750 50 (:DEFINITION TRUE-LISTP))
 (732 183 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (722 722 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (715 239 (:REWRITE DEFAULT-<-2))
 (708 708 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (695 446 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (684 684 (:LINEAR LEN-WHEN-PREFIXP))
 (649 649 (:REWRITE DEFAULT-+-1))
 (648 9 (:REWRITE ABS-FIND-FILE-SRC-CORRECTNESS-1))
 (606 606 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (591 591 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (591 591 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (590 100 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (574 192 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (563 563 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (560 20 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (554 192 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (549 549 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (500 20 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (496 239 (:REWRITE DEFAULT-<-1))
 (418 418 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (372 372 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (372 372 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (318 2 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-6 . 3))
 (296 100 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (294 64 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (290 257 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (280 280 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (270 270 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (252 15 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (252 9 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (240 8 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (239 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-65))
 (220 20 (:REWRITE SUBSETP-CAR-MEMBER))
 (220 20 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (206 103 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (203 203 (:REWRITE SUBSETP-TRANS))
 (196 196 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (196 196 (:TYPE-PRESCRIPTION D-E-P))
 (196 98 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (195 195 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (195 93 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (183 9 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (182 30 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (177 177 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (163 82 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (160 160 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (160 160 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (160 160 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (160 160 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (159 48 (:REWRITE NFIX-WHEN-NATP))
 (147 147 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (147 51 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (142 44 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (140 20 (:DEFINITION NATP))
 (134 35 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (133 9 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (124 82 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (120 45 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (102 102 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (100 100 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (100 20 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (98 98 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (98 98 (:REWRITE SET::IN-SET))
 (98 24 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (94 94 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (91 26 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-6 . 2))
 (91 26 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-39))
 (81 27 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (80 20 (:REWRITE MEMBER-WHEN-ATOM))
 (65 13 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (61 9 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (60 60 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (60 10 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (57 19 (:REWRITE COMMUTATIVITY-OF-+))
 (56 56 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (54 54 (:TYPE-PRESCRIPTION PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-19))
 (54 54 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (54 54 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (51 51 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (51 51 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (48 4 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (46 46 (:TYPE-PRESCRIPTION NFIX))
 (45 9 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (44 4 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (40 40 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (40 40 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (40 40 (:REWRITE SUBSETP-OF-CDR))
 (40 20 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (40 20 (:REWRITE SET-EQUIV-ASYM))
 (34 9 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (30 30 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (29 29 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (28 14 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (26 26 (:TYPE-PRESCRIPTION SET-EQUIV))
 (26 26 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (26 26 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (24 6 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (23 23 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (20 20 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (20 20 (:REWRITE SUBSETP-MEMBER . 4))
 (20 20 (:REWRITE SUBSETP-MEMBER . 3))
 (20 20 (:REWRITE SUBSETP-MEMBER . 2))
 (20 20 (:REWRITE SUBSETP-MEMBER . 1))
 (20 20 (:REWRITE INTERSECTP-MEMBER . 3))
 (20 20 (:REWRITE INTERSECTP-MEMBER . 2))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (20 20 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (20 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-11))
 (18 18 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (18 18 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (16 16 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (16 16 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (16 16 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (16 16 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (15 15 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (14 14 (:REWRITE CONSP-OF-LIST-FIX))
 (14 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (9 9 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (9 9 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (9 9 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (7 7 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE))
 (7 7 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE))
 (6 6 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (4 4 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (4 4 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (4 4 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (4 4 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (2 2 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (2 2 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-231
 (22398 14 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (22340 63 (:LINEAR PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9))
 (11052 28 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (8604 14 (:REWRITE LEN-WHEN-PREFIXP))
 (8590 28 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (6516 722 (:DEFINITION ASSOC-EQUAL))
 (6133 203 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (5757 41 (:REWRITE ZP-OPEN))
 (5750 7 (:DEFINITION NTHCDR))
 (5594 1361 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (5442 21 (:REWRITE NFIX-WHEN-ZP))
 (4260 276 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (3724 233 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (3537 191 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3200 3165 (:REWRITE DEFAULT-CAR))
 (2928 491 (:DEFINITION STRIP-CARS))
 (2875 7 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (2868 21 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (2798 7 (:REWRITE CONSP-OF-NTHCDR))
 (2763 14 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2700 7 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (2139 37 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (2115 75 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (1463 210 (:DEFINITION LEN))
 (1444 1444 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1401 154 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (1359 35 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (1297 184 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (1125 75 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (1124 81 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (1091 182 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (801 75 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (778 152 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-12))
 (762 762 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (688 78 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (644 224 (:REWRITE DEFAULT-+-2))
 (636 636 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (636 159 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (586 58 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (554 233 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (546 196 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-36))
 (540 18 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (530 173 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (451 7 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (428 144 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (422 173 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (396 18 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (392 14 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (382 382 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (350 350 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (349 106 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (331 81 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (318 318 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (308 191 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (287 287 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (271 112 (:REWRITE DEFAULT-<-2))
 (259 70 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (252 9 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (252 7 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (225 9 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (224 224 (:REWRITE DEFAULT-+-1))
 (224 224 (:LINEAR LEN-WHEN-PREFIXP))
 (213 213 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (213 213 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (210 48 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (210 14 (:DEFINITION TRUE-LISTP))
 (203 203 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (198 48 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (182 182 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (182 182 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (175 112 (:REWRITE DEFAULT-<-1))
 (173 173 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (168 28 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (164 7 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (150 136 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (147 147 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (147 147 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (144 144 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (133 133 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (116 12 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-32))
 (112 4 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (108 12 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (104 43 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (99 9 (:REWRITE SUBSETP-CAR-MEMBER))
 (99 9 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (91 91 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (84 84 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (84 28 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (83 14 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (81 81 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (73 73 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (70 70 (:TYPE-PRESCRIPTION PREFIXP))
 (70 14 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (63 21 (:REWRITE NFIX-WHEN-NATP))
 (63 9 (:DEFINITION NATP))
 (56 56 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (56 56 (:TYPE-PRESCRIPTION D-E-P))
 (56 28 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (51 51 (:REWRITE SUBSETP-TRANS))
 (49 14 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (49 14 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-6 . 2))
 (49 14 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-39))
 (46 14 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (45 45 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (45 9 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (42 7 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (42 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (40 2 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (36 9 (:REWRITE MEMBER-WHEN-ATOM))
 (35 35 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (35 14 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (35 14 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (35 7 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (32 32 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (32 32 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (28 28 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (28 28 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (28 28 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (28 28 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (28 28 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (28 28 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (28 28 (:REWRITE SET::IN-SET))
 (28 2 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (27 27 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (27 13 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (24 2 (:REWRITE ABS-MKDIR-GUARD-LEMMA-1))
 (23 23 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (21 7 (:REWRITE COMMUTATIVITY-OF-+))
 (18 18 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (18 18 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (18 9 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (18 9 (:REWRITE SET-EQUIV-ASYM))
 (14 14 (:TYPE-PRESCRIPTION NFIX))
 (14 14 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (14 14 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (14 14 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (14 14 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (14 14 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (12 12 (:TYPE-PRESCRIPTION SET-EQUIV))
 (12 2 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (10 2 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (9 9 (:REWRITE SUBSETP-OF-CDR))
 (9 9 (:REWRITE SUBSETP-MEMBER . 4))
 (9 9 (:REWRITE SUBSETP-MEMBER . 3))
 (9 9 (:REWRITE SUBSETP-MEMBER . 2))
 (9 9 (:REWRITE SUBSETP-MEMBER . 1))
 (9 9 (:REWRITE INTERSECTP-MEMBER . 3))
 (9 9 (:REWRITE INTERSECTP-MEMBER . 2))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (9 9 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (7 7 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (7 7 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (7 7 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (7 7 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (6 2 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (4 4 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (3 3 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (2 2 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE))
 (2 2 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-226
 (68173 157 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (47168 53 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (41172 400 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (41080 27 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-2))
 (38747 370 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (33403 8078 (:REWRITE DEFAULT-CDR))
 (26087 138 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9 . 2))
 (26003 25 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-230))
 (24485 77 (:DEFINITION NTHCDR))
 (23613 94 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (22914 121 (:REWRITE LEN-WHEN-PREFIXP))
 (21839 5172 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (19294 283 (:REWRITE ZP-OPEN))
 (18866 185 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (18055 167 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (17036 928 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (16906 152 (:REWRITE NFIX-WHEN-ZP))
 (13479 230 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (12500 167 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (12051 12008 (:REWRITE DEFAULT-CAR))
 (11402 830 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (11054 1845 (:DEFINITION STRIP-CARS))
 (10644 587 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (9361 527 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (9296 27 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-65))
 (9277 1252 (:DEFINITION LEN))
 (8229 101 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (8071 106 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (7216 117 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (6405 261 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (5681 327 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (5526 5526 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (5090 573 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (3941 262 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (3910 1406 (:REWRITE DEFAULT-+-2))
 (3906 53 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (3806 53 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (3744 636 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (3581 84 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-6 . 1))
 (3124 154 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (2911 2911 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (2499 447 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (2192 220 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1895 875 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-36))
 (1892 694 (:REWRITE DEFAULT-<-2))
 (1844 53 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (1776 1776 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (1776 444 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (1726 1726 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (1650 110 (:DEFINITION TRUE-LISTP))
 (1532 587 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1410 1410 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1406 1406 (:REWRITE DEFAULT-+-1))
 (1387 327 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (1347 393 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1320 220 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1185 438 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1158 354 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1145 195 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1143 694 (:REWRITE DEFAULT-<-1))
 (1077 438 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1073 1073 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1064 38 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (1012 1012 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (1012 1012 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (1008 112 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (928 928 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (906 423 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (888 888 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (842 842 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (842 527 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (817 73 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (804 804 (:TYPE-PRESCRIPTION PREFIXP))
 (782 782 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (660 220 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (626 626 (:LINEAR LEN-WHEN-PREFIXP))
 (550 18 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (530 530 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (452 233 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (450 225 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (440 440 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (440 440 (:TYPE-PRESCRIPTION D-E-P))
 (440 220 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (438 438 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (422 391 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (396 18 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (393 393 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (372 3 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (370 370 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (370 370 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (370 370 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (370 370 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (332 233 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (327 327 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (327 167 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (315 315 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (301 86 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-6 . 2))
 (301 86 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-39))
 (291 141 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (288 167 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (277 277 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (252 9 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (246 246 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (244 244 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (244 244 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (238 52 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (231 77 (:REWRITE COMMUTATIVITY-OF-+))
 (230 52 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (225 9 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (220 220 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (220 220 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (220 220 (:REWRITE SET::IN-SET))
 (216 35 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (194 69 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (168 168 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (168 84 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (167 167 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (166 2 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (164 22 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (157 157 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (127 127 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (125 32 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (102 22 (:DEFINITION NATP))
 (99 9 (:REWRITE SUBSETP-CAR-MEMBER))
 (84 84 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (81 18 (:REWRITE MEMBER-WHEN-ATOM))
 (70 70 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (68 68 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (66 66 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (66 66 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (65 13 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (54 54 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-6 . 3))
 (53 53 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (53 53 (:REWRITE SUBSETP-TRANS))
 (51 51 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (45 9 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (38 38 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (35 4 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (27 27 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (22 22 (:REWRITE SUBSETP-MEMBER . 4))
 (22 22 (:REWRITE INTERSECTP-MEMBER . 3))
 (22 22 (:REWRITE INTERSECTP-MEMBER . 2))
 (20 20 (:REWRITE SUBSETP-MEMBER . 2))
 (19 19 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (18 18 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (18 9 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (18 9 (:REWRITE SET-EQUIV-ASYM))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (10 10 (:TYPE-PRESCRIPTION SET-EQUIV))
 (10 10 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (9 9 (:REWRITE SUBSETP-OF-CDR))
 (9 9 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (9 9 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (9 3 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (6 6 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (5 5 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (2 2 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-15))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-233
 (910 1 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (766 3 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (636 159 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (601 156 (:REWRITE DEFAULT-CDR))
 (561 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (461 49 (:DEFINITION ASSOC-EQUAL))
 (380 1 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (348 58 (:DEFINITION STRIP-CARS))
 (331 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-230))
 (314 12 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (306 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (304 1 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 1))
 (263 263 (:REWRITE DEFAULT-CAR))
 (185 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (175 11 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (155 9 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (141 1 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (135 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-231))
 (124 1 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (116 5 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (109 23 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (98 98 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (85 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (83 7 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (75 19 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (75 5 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (65 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (58 11 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (53 53 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (42 14 (:REWRITE DEFAULT-+-2))
 (40 1 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (38 7 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (38 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (36 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (36 4 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (36 2 (:REWRITE ZP-OPEN))
 (35 35 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (34 34 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (32 32 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (32 8 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (30 10 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-36))
 (29 2 (:REWRITE NFIX-WHEN-ZP))
 (29 2 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (28 28 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (28 28 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (26 11 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (26 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (24 24 (:TYPE-PRESCRIPTION PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-19))
 (24 16 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (23 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (22 4 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (20 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (18 18 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (18 6 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (18 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (17 7 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (17 7 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (17 3 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (16 16 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (16 16 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (16 5 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (14 14 (:REWRITE DEFAULT-+-1))
 (14 9 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (12 12 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (12 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (10 10 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (10 4 (:REWRITE DEFAULT-<-2))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:LINEAR LEN-WHEN-PREFIXP))
 (8 8 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (8 2 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (7 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6 6 (:TYPE-PRESCRIPTION NAMES-AT))
 (6 6 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (6 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (6 2 (:REWRITE NFIX-WHEN-NATP))
 (6 2 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (5 5 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (5 5 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (5 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4 4 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (4 4 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE DEFAULT-<-1))
 (4 4 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (3 3 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (3 3 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (2 2 (:TYPE-PRESCRIPTION NFIX))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (2 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (2 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (2 1 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1 1 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1 1 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1 1 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1 1 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1 1 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1 1 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-238
 (6258 110 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (6158 98 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (4954 215 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3363 11 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (3068 226 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (2856 169 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (2786 467 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2762 201 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (2186 70 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (2024 54 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (1740 277 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1448 109 (:DEFINITION ASSOC-EQUAL))
 (1425 1125 (:REWRITE DEFAULT-CDR))
 (1142 342 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1122 51 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1094 248 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (930 62 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (754 452 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (734 56 (:REWRITE NFIX-WHEN-ZP))
 (721 391 (:REWRITE DEFAULT-CAR))
 (598 598 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (452 452 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (336 56 (:DEFINITION LEN))
 (312 312 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (298 112 (:REWRITE DEFAULT-+-2))
 (280 56 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (280 56 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (277 277 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (246 155 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (236 236 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (218 218 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (207 9 (:DEFINITION NATP))
 (201 201 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (163 86 (:REWRITE DEFAULT-<-2))
 (148 148 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (140 86 (:REWRITE DEFAULT-<-1))
 (123 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-222))
 (112 112 (:REWRITE DEFAULT-+-1))
 (108 90 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (102 51 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (95 95 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (91 11 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (91 7 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (74 74 (:LINEAR LEN-WHEN-PREFIXP))
 (74 74 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (65 65 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (57 57 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (57 57 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (57 57 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (54 54 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (54 3 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (49 49 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (49 49 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (44 44 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (42 42 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (36 36 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (36 3 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (35 7 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (28 28 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (28 28 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (28 28 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (28 28 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (27 3 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (24 24 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (18 18 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (17 1 (:REWRITE CAR-OF-APPEND))
 (16 16 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (12 12 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (12 12 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (12 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-10))
 (9 9 (:TYPE-PRESCRIPTION NATP))
 (8 8 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-239
 (274 3 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (236 3 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (228 1 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (206 6 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (180 45 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (176 3 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (174 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (170 12 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (148 9 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (136 30 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (130 10 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (128 38 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (99 11 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (93 2 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (90 45 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (90 12 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (86 3 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (85 11 (:DEFINITION ASSOC-EQUAL))
 (74 12 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (64 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (63 18 (:REWRITE DEFAULT-CDR))
 (62 1 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (59 3 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (52 12 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (52 3 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (50 1 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (45 45 (:TYPE-PRESCRIPTION ZP))
 (45 45 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (45 45 (:TYPE-PRESCRIPTION LEN))
 (45 45 (:TYPE-PRESCRIPTION FRAME-P))
 (43 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (42 2 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (41 1 (:DEFINITION PUT-ASSOC-EQUAL))
 (40 8 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (39 39 (:REWRITE DEFAULT-CAR))
 (37 1 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (36 36 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (36 3 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (34 3 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (33 33 (:TYPE-PRESCRIPTION M1-FILE-P))
 (26 26 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (26 26 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (24 24 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (21 6 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (21 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-18))
 (19 3 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (18 18 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (17 7 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (16 16 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (16 3 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (13 13 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (12 12 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (12 12 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (10 3 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (10 3 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (9 9 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (8 8 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (7 7 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (7 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6 6 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (2 2 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (1 1 (:TYPE-PRESCRIPTION NULL))
 (1 1 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (1 1 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1 1 (:DEFINITION NULL))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-13
 (29480 10 (:DEFINITION NTHCDR))
 (24055 7 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (23160 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-2))
 (23142 20 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (20678 38 (:LINEAR PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9))
 (16936 14 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (16810 46 (:LINEAR ABS-MKDIR-CORRECTNESS-LEMMA-233))
 (15868 252 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-36))
 (14950 2 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (14652 9 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (13348 205 (:REWRITE NFIX-WHEN-ZP))
 (13090 111 (:REWRITE ZP-OPEN))
 (12119 4 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (11914 20 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (11386 98 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-8))
 (9598 174 (:REWRITE LEN-OF-DIRNAME))
 (8545 1978 (:REWRITE DEFAULT-CDR))
 (7389 11 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (7374 2 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 1))
 (7055 261 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (6998 8 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-231))
 (6966 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-230))
 (4819 515 (:DEFINITION ASSOC-EQUAL))
 (3324 767 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (3173 174 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (2830 472 (:DEFINITION STRIP-CARS))
 (2686 368 (:DEFINITION LEN))
 (2658 205 (:REWRITE NFIX-WHEN-NATP))
 (2590 135 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (2556 6 (:REWRITE CONSP-OF-NTHCDR))
 (2500 2497 (:REWRITE DEFAULT-CAR))
 (2274 88 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (2262 174 (:DEFINITION NFIX))
 (2161 142 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1991 89 (:DEFINITION NATP))
 (1646 562 (:REWRITE DEFAULT-+-2))
 (1596 1596 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (1596 1596 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (1407 196 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (1320 88 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (1236 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (1089 499 (:REWRITE DEFAULT-<-2))
 (1074 1074 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (1035 499 (:REWRITE DEFAULT-<-1))
 (1034 1034 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1020 102 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-1 . 1))
 (949 261 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (944 256 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (862 2 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (705 131 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (692 692 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (692 173 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (562 562 (:REWRITE DEFAULT-+-1))
 (520 130 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-12))
 (493 3 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (460 460 (:LINEAR LEN-WHEN-PREFIXP))
 (460 460 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (442 52 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (436 104 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (428 14 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-6))
 (388 194 (:REWRITE CONSP-OF-DIRNAME))
 (346 346 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (317 5 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (316 316 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (315 141 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (315 129 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (303 129 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (299 299 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (297 297 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (297 15 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (278 2 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (269 269 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (256 256 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (232 14 (:REWRITE ABS-SEPARATE-OF-FRAME-WITH-ROOT))
 (230 214 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (224 14 (:REWRITE ABS-SEPARATE-OF-PARTIAL-COLLAPSE))
 (204 55 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (203 16 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (196 196 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (187 135 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (170 40 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (166 1 (:REWRITE FIND-NEW-INDEX-CORRECTNESS-1))
 (156 12 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (156 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (146 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (144 144 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-95))
 (142 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (136 4 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (130 16 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (129 129 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (126 20 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (118 118 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (116 116 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-6))
 (108 108 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (97 12 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (96 12 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (94 3 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (92 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (91 91 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (90 5 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (89 89 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (89 89 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (89 5 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (88 88 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (87 87 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (86 86 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-7))
 (86 5 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (80 80 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (79 14 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (78 14 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (76 2 (:DEFINITION PUT-ASSOC-EQUAL))
 (74 25 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (66 16 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (60 20 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (55 55 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (52 1 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (48 8 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (43 3 (:REWRITE MEMBER-WHEN-ATOM))
 (40 16 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (40 10 (:TYPE-PRESCRIPTION ABS-PWRITE-CORRECTNESS-LEMMA-7))
 (38 11 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (36 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (34 6 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (33 33 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (31 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (30 10 (:REWRITE COMMUTATIVITY-OF-+))
 (30 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-65))
 (29 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (28 28 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-6))
 (28 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (25 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (24 24 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (23 23 (:TYPE-PRESCRIPTION STRIP-CARS))
 (22 6 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (19 19 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (18 3 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (18 2 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (18 2 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-39))
 (18 1 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (16 16 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (16 8 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-1))
 (15 3 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (14 14 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (14 14 (:REWRITE SUBSETP-TRANS2))
 (14 14 (:REWRITE SUBSETP-TRANS))
 (12 12 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (12 12 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (12 6 (:REWRITE CONSP-OF-STRIP-CARS))
 (12 4 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (11 1 (:REWRITE SUBSETP-CAR-MEMBER))
 (10 10 (:TYPE-PRESCRIPTION FIND-NEW-INDEX-CORRECTNESS-LEMMA-1))
 (10 10 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (10 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-130))
 (9 9 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (8 8 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (8 8 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (6 6 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (6 6 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (6 6 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (5 5 (:REWRITE SUBSETP-MEMBER . 2))
 (5 5 (:REWRITE SUBSETP-MEMBER . 1))
 (5 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (4 4 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (4 4 (:REWRITE SUBSETP-MEMBER . 4))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (4 4 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-6 . 3))
 (2 2 (:TYPE-PRESCRIPTION PREFIXP))
 (2 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-43))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2 1 (:REWRITE SET-EQUIV-ASYM))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:REWRITE SUBSETP-OF-CDR))
 (1 1 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (1 1 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-17))
 (1 1 (:REWRITE ABS-FS-P-OF-ABS-ALLOC-2))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-244
 (39102 5290 (:REWRITE DEFAULT-CDR))
 (25609 69 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (25020 622 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-36))
 (24180 18 (:DEFINITION NTHCDR))
 (21674 74 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (20556 388 (:REWRITE NFIX-WHEN-ZP))
 (20401 246 (:REWRITE ZP-OPEN))
 (19405 4787 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (18046 38 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (17848 10 (:DEFINITION NAT-EQUIV$INLINE))
 (15402 1891 (:DEFINITION ASSOC-EQUAL))
 (15346 32 (:REWRITE LEN-WHEN-PREFIXP))
 (14027 690 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (13827 32 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (10886 1018 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (8621 427 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (8103 26 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (7693 7627 (:REWRITE DEFAULT-CAR))
 (7298 450 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (7227 32 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (7021 31 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (6060 32 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (5636 942 (:DEFINITION STRIP-CARS))
 (5524 777 (:DEFINITION LEN))
 (4680 16 (:REWRITE EQUAL-OF-FRAME-VAL))
 (4393 311 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-7))
 (4023 149 (:LINEAR ABS-MKDIR-CORRECTNESS-LEMMA-233))
 (3814 3814 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (3581 38 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (3473 5 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9 . 2))
 (2920 2920 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (2920 2920 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (2908 1130 (:REWRITE DEFAULT-+-2))
 (2805 362 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (2597 36 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (2290 410 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (2042 690 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (1994 607 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (1396 1396 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (1396 349 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (1360 5 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (1341 1341 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (1258 839 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1213 1213 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1212 28 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (1130 1130 (:REWRITE DEFAULT-+-1))
 (1129 446 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1086 530 (:REWRITE DEFAULT-<-2))
 (1030 1030 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1030 1030 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (993 401 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (962 962 (:LINEAR LEN-WHEN-PREFIXP))
 (919 190 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (902 10 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (854 854 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (848 848 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (839 839 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (818 58 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (748 374 (:REWRITE CONSP-OF-DIRNAME))
 (724 32 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (722 64 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (707 707 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (698 698 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (677 59 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (668 530 (:REWRITE DEFAULT-<-1))
 (652 427 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (646 16 (:DEFINITION PUT-ASSOC-EQUAL))
 (612 165 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (607 607 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (497 161 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (482 16 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (478 478 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (438 16 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (420 28 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (409 8 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (401 401 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (384 16 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-2))
 (371 112 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (360 24 (:DEFINITION TRUE-LISTP))
 (353 353 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (353 353 (:REWRITE FAT32-FILENAME-LIST-P-OF-DIRNAME))
 (352 16 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (318 318 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (296 19 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (288 48 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (239 4 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (224 8 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (218 48 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (202 48 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (190 190 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (176 176 (:TYPE-PRESCRIPTION PREFIXP))
 (176 43 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (172 172 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (161 161 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (160 160 (:TYPE-PRESCRIPTION NATP-OF-ABS-PLACE-FILE-HELPER))
 (144 48 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (143 43 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (134 23 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (126 9 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (103 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-231))
 (100 15 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (96 96 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (96 96 (:TYPE-PRESCRIPTION D-E-P))
 (96 48 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (88 88 (:TYPE-PRESCRIPTION ABS-PLACE-FILE-HELPER-OF-APPEND-LEMMA-2))
 (88 8 (:REWRITE SUBSETP-CAR-MEMBER))
 (74 29 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (69 69 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (69 69 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (69 69 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (69 69 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (68 18 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (64 31 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (61 61 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (60 3 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (58 58 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (56 8 (:DEFINITION NATP))
 (54 18 (:REWRITE COMMUTATIVITY-OF-+))
 (52 31 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (51 33 (:REWRITE CONSP-OF-STRIP-CARS))
 (50 25 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (48 48 (:TYPE-PRESCRIPTION FRAME-VAL))
 (48 48 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (48 48 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (48 48 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (48 48 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (48 48 (:REWRITE SUBSETP-TRANS2))
 (48 48 (:REWRITE SUBSETP-TRANS))
 (48 48 (:REWRITE SET::IN-SET))
 (40 40 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (32 8 (:REWRITE MEMBER-WHEN-ATOM))
 (32 8 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (31 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (30 30 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-CORRECTNESS-1 . 2))
 (29 29 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (29 1 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (28 1 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (26 19 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (24 24 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (21 21 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (18 18 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (16 16 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (16 16 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (16 16 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (16 16 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (16 16 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (16 16 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (16 16 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (16 16 (:REWRITE ABS-FS-P-OF-ABS-PLACE-FILE-HELPER))
 (16 16 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (16 16 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (16 8 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (16 8 (:REWRITE SET-EQUIV-ASYM))
 (15 15 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (15 15 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (15 15 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (15 3 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (15 2 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (13 3 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (11 2 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (10 10 (:TYPE-PRESCRIPTION NAT-EQUIV$INLINE))
 (10 5 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (10 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (8 8 (:TYPE-PRESCRIPTION SET-EQUIV))
 (8 8 (:REWRITE SUBSETP-OF-CDR))
 (8 8 (:REWRITE SUBSETP-MEMBER . 4))
 (8 8 (:REWRITE SUBSETP-MEMBER . 3))
 (8 8 (:REWRITE SUBSETP-MEMBER . 2))
 (8 8 (:REWRITE SUBSETP-MEMBER . 1))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 3))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 2))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (8 8 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (5 5 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (5 5 (:REWRITE PREFIXP-OF-DIRNAME . 2))
 (5 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4 4 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (4 4 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (4 1 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (3 3 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (3 3 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (3 3 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (2 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT M1-FILE-FIX-UNDER-M1-FILE-EQUIV))
 (1 1 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-75
 (405 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-231))
 (347 5 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (336 82 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (259 9 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (214 75 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (197 7 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (179 1 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (154 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (138 7 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (121 1 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (116 116 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (116 116 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (111 2 (:REWRITE LEN-OF-DIRNAME))
 (92 92 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (92 8 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (88 15 (:DEFINITION STRIP-CARS))
 (86 44 (:REWRITE DEFAULT-CDR))
 (66 8 (:DEFINITION ASSOC-EQUAL))
 (65 1 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (62 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (58 55 (:REWRITE DEFAULT-CAR))
 (57 57 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (57 19 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (54 3 (:REWRITE ZP-OPEN))
 (52 1 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (45 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (45 2 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (44 2 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (43 1 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (42 7 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (39 3 (:REWRITE NFIX-WHEN-ZP))
 (38 38 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (36 3 (:REWRITE NFIX-WHEN-NATP))
 (36 2 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (34 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-8))
 (32 12 (:REWRITE DEFAULT-<-2))
 (32 8 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (31 6 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (30 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (30 2 (:DEFINITION NATP))
 (29 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (28 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (28 1 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (27 7 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (27 6 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (26 2 (:DEFINITION NFIX))
 (25 25 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (25 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (24 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (23 7 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (22 11 (:REWRITE CONSP-OF-DIRNAME))
 (22 2 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (21 9 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (21 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (20 20 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (20 5 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (20 2 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-1 . 1))
 (19 19 (:TYPE-PRESCRIPTION STRIP-CARS))
 (19 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (18 12 (:REWRITE DEFAULT-<-1))
 (18 1 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (16 16 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (16 4 (:TYPE-PRESCRIPTION ABS-PWRITE-CORRECTNESS-LEMMA-7))
 (16 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (15 6 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (15 3 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (15 2 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (14 4 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (14 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-73))
 (13 9 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (13 2 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (12 12 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (12 4 (:REWRITE DEFAULT-+-2))
 (12 4 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (12 2 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (12 2 (:DEFINITION LEN))
 (11 1 (:REWRITE SUBSETP-CAR-MEMBER))
 (11 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (10 10 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (10 10 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (10 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (9 9 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (9 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (9 1 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (9 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (8 8 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (7 7 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (7 7 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (6 6 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (6 6 (:REWRITE SUBSETP-TRANS2))
 (6 6 (:REWRITE SUBSETP-TRANS))
 (6 4 (:REWRITE CONSP-OF-STRIP-CARS))
 (6 1 (:DEFINITION ATOM))
 (5 5 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (5 5 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (5 5 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (5 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-6))
 (5 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:TYPE-PRESCRIPTION FIND-NEW-INDEX-CORRECTNESS-LEMMA-1))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE DEFAULT-+-1))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (4 4 (:LINEAR LEN-WHEN-PREFIXP))
 (4 4 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (4 1 (:REWRITE MEMBER-WHEN-ATOM))
 (3 3 (:TYPE-PRESCRIPTION NFIX))
 (3 3 (:TYPE-PRESCRIPTION NAMES-AT))
 (3 3 (:TYPE-PRESCRIPTION M1-FILE-P))
 (3 3 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (2 2 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (2 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (2 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (2 2 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-95))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (2 1 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (2 1 (:REWRITE SET-EQUIV-ASYM))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:TYPE-PRESCRIPTION ATOM))
 (1 1 (:REWRITE SUBSETP-OF-CDR))
 (1 1 (:REWRITE SUBSETP-MEMBER . 4))
 (1 1 (:REWRITE SUBSETP-MEMBER . 3))
 (1 1 (:REWRITE SUBSETP-MEMBER . 2))
 (1 1 (:REWRITE SUBSETP-MEMBER . 1))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-38))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (1 1 (:DEFINITION NTHCDR))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-14
 (72475 33 (:DEFINITION NTHCDR))
 (63676 66 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (57187 134 (:LINEAR PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9))
 (42385 17 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (40320 74 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-231))
 (40305 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-2))
 (34501 909 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-36))
 (34089 817 (:REWRITE NFIX-WHEN-ZP))
 (33694 426 (:REWRITE ZP-OPEN))
 (30566 8226 (:REWRITE DEFAULT-CDR))
 (27045 66 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (25867 938 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (25716 42 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (17092 2091 (:DEFINITION ASSOC-EQUAL))
 (12654 653 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (11699 2795 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (11216 1870 (:DEFINITION STRIP-CARS))
 (10454 6 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 1))
 (10395 532 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (10264 10216 (:REWRITE DEFAULT-CAR))
 (10051 1433 (:DEFINITION LEN))
 (8232 66 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (8024 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-230))
 (7753 4 (:DEFINITION NAT-EQUIV$INLINE))
 (6416 28 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (6260 6260 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (5579 2211 (:REWRITE DEFAULT-+-2))
 (5235 734 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (4304 4304 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (4263 6 (:REWRITE LEN-WHEN-PREFIXP))
 (3554 954 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (3466 938 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (3390 18 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (3362 61 (:DEFINITION PUT-ASSOC-EQUAL))
 (3065 581 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (2933 39 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (2858 39 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (2572 2572 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (2572 643 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (2306 6 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (2211 2211 (:REWRITE DEFAULT-+-1))
 (1900 755 (:REWRITE DEFAULT-<-2))
 (1818 376 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (1715 75 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (1578 38 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (1565 247 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1345 52 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (1286 1286 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (1277 595 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1223 1223 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1178 1178 (:LINEAR LEN-WHEN-PREFIXP))
 (1178 1178 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1147 68 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1049 1049 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (980 6 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (954 954 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (953 6 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (926 3 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (918 6 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (829 755 (:REWRITE DEFAULT-<-1))
 (817 532 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (816 6 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (798 60 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (654 54 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (644 3 (:REWRITE EQUAL-OF-FRAME-VAL))
 (616 616 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (603 144 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (596 46 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (529 529 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (468 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (454 134 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (415 86 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (406 86 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (398 398 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (398 398 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (398 398 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (337 337 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (330 330 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (322 322 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (288 22 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-101))
 (259 16 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (244 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (224 54 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (212 212 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (202 202 (:TYPE-PRESCRIPTION M1-FILE-HIFAT-FILE-ALIST-FIX))
 (198 198 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-CORRECTNESS-1 . 2))
 (182 16 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (180 10 (:REWRITE EQUAL-OF-M1-FILE))
 (134 134 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (126 54 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (126 13 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (122 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (120 24 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (119 9 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (105 7 (:DEFINITION TRUE-LISTP))
 (103 2 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (100 10 (:REWRITE M1-FILE-CONTENTS-FIX-WHEN-M1-FILE-CONTENTS-P))
 (100 6 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (99 33 (:REWRITE COMMUTATIVITY-OF-+))
 (95 19 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (90 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-65))
 (88 4 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (84 14 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (80 80 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-HIFAT-FILE-ALIST-FIX))
 (80 7 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (72 3 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-2))
 (71 3 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (66 18 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (56 12 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (56 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (54 6 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-39))
 (53 53 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (53 53 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (53 53 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (53 53 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (53 53 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (52 52 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (52 12 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (51 51 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (50 10 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (50 3 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (48 48 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (48 48 (:REWRITE ABS-FILE-ALIST-P-OF-COLLAPSE))
 (48 24 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-1))
 (47 47 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (47 47 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (44 44 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (44 44 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (42 14 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (40 7 (:DEFINITION NATP))
 (38 38 (:TYPE-PRESCRIPTION D-E-P))
 (37 37 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (36 36 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (35 35 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (33 33 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (30 30 (:TYPE-PRESCRIPTION NATP-OF-ABS-PLACE-FILE-HELPER))
 (30 30 (:TYPE-PRESCRIPTION M1-FILE))
 (30 30 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (30 30 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (30 30 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (30 10 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (28 28 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (28 28 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (28 28 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (28 14 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (28 1 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (22 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (22 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (21 21 (:TYPE-PRESCRIPTION ABS-PLACE-FILE-HELPER-OF-APPEND-LEMMA-2))
 (18 18 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (18 18 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (18 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (18 4 (:REWRITE MEMBER-WHEN-ATOM))
 (16 7 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (15 15 (:REWRITE NOT-M1-REGULAR-FILE-P-OF-M1-FILE-HIFAT-FILE-ALIST-FIX))
 (15 9 (:REWRITE CONSP-OF-STRIP-CARS))
 (14 14 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (14 14 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (14 14 (:REWRITE SET::IN-SET))
 (12 12 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (12 12 (:REWRITE SUBSETP-TRANS2))
 (12 12 (:REWRITE SUBSETP-TRANS))
 (12 12 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-6 . 3))
 (12 1 (:REWRITE APPEND-WHEN-PREFIXP))
 (10 10 (:REWRITE D-E-P-OF-M1-FILE->D-E))
 (9 9 (:TYPE-PRESCRIPTION FRAME-VAL))
 (9 9 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE SUBSETP-MEMBER . 2))
 (8 8 (:REWRITE SUBSETP-MEMBER . 1))
 (8 4 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (7 7 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (7 1 (:DEFINITION NFIX))
 (6 6 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (6 6 (:REWRITE SUBSETP-MEMBER . 4))
 (6 6 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-43))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 3))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 2))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (4 4 (:TYPE-PRESCRIPTION NAT-EQUIV$INLINE))
 (4 4 (:REWRITE-QUOTED-CONSTANT M1-FILE-FIX-UNDER-M1-FILE-EQUIV))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (4 4 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (4 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (4 2 (:REWRITE SET-EQUIV-ASYM))
 (4 1 (:REWRITE FOLD-CONSTS-IN-+))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (3 3 (:REWRITE ABS-FS-P-OF-ABS-PLACE-FILE-HELPER))
 (2 2 (:TYPE-PRESCRIPTION SET-EQUIV))
 (2 2 (:TYPE-PRESCRIPTION NULL))
 (2 2 (:REWRITE SUBSETP-OF-CDR))
 (2 2 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (2 2 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (2 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (2 2 (:DEFINITION NULL))
 (1 1 (:REWRITE PUT-ASSOC-UNDER-HIFAT-EQUIV-3))
 (1 1 (:REWRITE PUT-ASSOC-UNDER-HIFAT-EQUIV-1))
 (1 1 (:REWRITE NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE HIFAT-EQUIV-OF-PUT-ASSOC-2))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-18)
(ABS-MKDIR-CORRECTNESS-LEMMA-43
 (2417 1 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (2264 3 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1076 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-230))
 (1050 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (1048 1 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 1))
 (866 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-231))
 (612 185 (:REWRITE DEFAULT-CDR))
 (609 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (553 14 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (544 136 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (417 1 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (408 68 (:DEFINITION STRIP-CARS))
 (381 41 (:DEFINITION ASSOC-EQUAL))
 (326 16 (:REWRITE NFIX-WHEN-ZP))
 (296 16 (:REWRITE NFIX-WHEN-NATP))
 (274 11 (:REWRITE ZP-OPEN))
 (259 259 (:REWRITE DEFAULT-CAR))
 (230 10 (:DEFINITION NATP))
 (194 8 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (192 28 (:DEFINITION LEN))
 (182 11 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (180 12 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (152 10 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (150 1 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (133 1 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (132 44 (:REWRITE DEFAULT-+-2))
 (123 25 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (120 8 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (115 115 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (115 115 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (109 23 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (101 47 (:REWRITE DEFAULT-<-1))
 (95 47 (:REWRITE DEFAULT-<-2))
 (88 32 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (85 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (83 7 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (82 82 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (70 14 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (67 14 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (59 59 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (56 56 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (56 14 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (46 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (44 44 (:REWRITE DEFAULT-+-1))
 (43 1 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (41 8 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (40 40 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (37 37 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (36 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (36 4 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (34 34 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (34 17 (:REWRITE CONSP-OF-DIRNAME))
 (32 32 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (29 2 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (28 28 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (26 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (24 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (22 18 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (22 4 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (21 12 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (20 20 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (20 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (18 18 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (18 6 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (18 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (17 8 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (17 8 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (17 3 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (16 5 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (14 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (13 10 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (11 3 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (10 10 (:TYPE-PRESCRIPTION NATP))
 (10 10 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (10 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (8 8 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (8 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (7 7 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (7 7 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (7 7 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (7 7 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (6 6 (:TYPE-PRESCRIPTION NAMES-AT))
 (6 6 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (6 2 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (5 5 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (5 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (4 4 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (4 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-44))
 (3 3 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (2 2 (:REWRITE NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (2 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-34
 (112 4 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (94 2 (:DEFINITION PUT-ASSOC-EQUAL))
 (36 9 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (30 3 (:DEFINITION ASSOC-EQUAL))
 (27 9 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (19 19 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (17 17 (:REWRITE DEFAULT-CAR))
 (12 2 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (10 10 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (10 10 (:TYPE-PRESCRIPTION LEN))
 (10 10 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (10 10 (:REWRITE DEFAULT-CDR))
 (9 9 (:TYPE-PRESCRIPTION ZP))
 (6 1 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (5 1 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (3 3 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (3 3 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (3 3 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 1 (:DEFINITION LEN))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-52
 (236 59 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (191 59 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (84 84 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (81 61 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (40 4 (:DEFINITION ASSOC-EQUAL))
 (34 4 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (27 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (20 20 (:TYPE-PRESCRIPTION LAST))
 (18 3 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (17 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (16 16 (:REWRITE DEFAULT-CAR))
 (13 1 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (8 8 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (8 8 (:REWRITE DEFAULT-CDR))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (6 2 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (6 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (5 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (5 1 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (4 4 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2 2 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2 2 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (2 2 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (2 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (2 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (2 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2 1 (:DEFINITION LEN))
 (1 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-113
 (567 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (378 6 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (284 71 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (194 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-95))
 (142 6 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (140 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-PARTIAL-COLLAPSE))
 (128 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (114 114 (:TYPE-PRESCRIPTION STRIP-CARS))
 (90 8 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (78 24 (:REWRITE DEFAULT-CDR))
 (78 12 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (78 4 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (66 6 (:REWRITE SUBSETP-CAR-MEMBER))
 (66 6 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (55 9 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (54 12 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (42 24 (:REWRITE DEFAULT-CAR))
 (42 6 (:DEFINITION NATP))
 (38 38 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE))
 (30 30 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (28 6 (:DEFINITION STRIP-CARS))
 (26 4 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (24 24 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (24 6 (:REWRITE MEMBER-WHEN-ATOM))
 (22 18 (:REWRITE CONSP-OF-STRIP-CARS))
 (19 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (18 18 (:TYPE-PRESCRIPTION NATP))
 (16 8 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (15 9 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (14 2 (:DEFINITION ASSOC-EQUAL))
 (14 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (12 12 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (12 12 (:TYPE-PRESCRIPTION ABS-FS-P))
 (12 6 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (12 6 (:REWRITE SET-EQUIV-ASYM))
 (10 4 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (7 3 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (6 6 (:TYPE-PRESCRIPTION SET-EQUIV))
 (6 6 (:REWRITE SUBSETP-OF-CDR))
 (6 6 (:REWRITE SUBSETP-MEMBER . 4))
 (6 6 (:REWRITE SUBSETP-MEMBER . 3))
 (6 6 (:REWRITE SUBSETP-MEMBER . 2))
 (6 6 (:REWRITE SUBSETP-MEMBER . 1))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 3))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 2))
 (6 6 (:REWRITE DEFAULT-<-2))
 (6 6 (:REWRITE DEFAULT-<-1))
 (6 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (5 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (5 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4 4 (:TYPE-PRESCRIPTION DIRNAME))
 (4 4 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (4 4 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (4 4 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (4 4 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (4 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (4 2 (:REWRITE CONSP-OF-DIRNAME))
 (3 3 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-55
 (18518 4 (:DEFINITION ABS-FIND-FILE-SRC))
 (10920 108 (:REWRITE LEN-WHEN-PREFIXP))
 (10272 172 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (9890 4 (:REWRITE NTHCDR-OF-FAT32-FILENAME-LIST-FIX))
 (9674 124 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (9544 112 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (9536 8 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (7868 104 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6102 124 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (5834 64 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (4248 164 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (3652 200 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (3500 456 (:DEFINITION LEN))
 (3468 2254 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (3428 488 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1704 104 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (1487 12 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (1464 1464 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (1376 464 (:REWRITE DEFAULT-+-2))
 (1252 340 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (982 982 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (834 4 (:DEFINITION NTHCDR))
 (744 16 (:REWRITE ZP-OPEN))
 (736 16 (:REWRITE NFIX-WHEN-ZP))
 (732 11 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (701 668 (:REWRITE DEFAULT-CDR))
 (677 11 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (675 19 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (611 122 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (536 61 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (496 164 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (488 488 (:LINEAR LEN-WHEN-PREFIXP))
 (488 55 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (476 8 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (464 464 (:REWRITE DEFAULT-+-1))
 (455 151 (:REWRITE DEFAULT-<-2))
 (440 440 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (436 20 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (424 4 (:REWRITE CONSP-OF-NTHCDR))
 (420 420 (:TYPE-PRESCRIPTION PREFIXP))
 (399 151 (:REWRITE DEFAULT-<-1))
 (396 396 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (392 196 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (368 20 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (360 24 (:DEFINITION TRUE-LISTP))
 (296 48 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (292 292 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (248 248 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (236 164 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (228 48 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (223 190 (:REWRITE DEFAULT-CAR))
 (220 8 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (204 204 (:TYPE-PRESCRIPTION STRIP-CARS))
 (200 24 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (196 8 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (192 16 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (184 8 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (184 8 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (180 168 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (176 16 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (172 112 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (172 112 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (172 16 (:REWRITE NFIX-WHEN-NATP))
 (168 96 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (168 96 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (164 164 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (159 159 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (144 36 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (138 22 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (128 128 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (124 124 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (124 124 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (124 124 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (124 124 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (121 11 (:REWRITE SUBSETP-CAR-MEMBER))
 (121 11 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (120 48 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (111 27 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (105 15 (:DEFINITION NATP))
 (104 16 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (100 100 (:REWRITE SUBSETP-TRANS2))
 (100 100 (:REWRITE SUBSETP-TRANS))
 (88 44 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (88 28 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (80 80 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (80 76 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (76 76 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (76 8 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (73 61 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (72 72 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (72 72 (:TYPE-PRESCRIPTION D-E-P))
 (72 36 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (72 8 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (68 68 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (64 8 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (62 62 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (60 60 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (60 60 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (55 55 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (55 55 (:TYPE-PRESCRIPTION ABS-FS-P))
 (54 54 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (54 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (52 52 (:REWRITE CONSP-OF-LIST-FIX))
 (48 48 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (44 11 (:REWRITE MEMBER-WHEN-ATOM))
 (44 11 (:DEFINITION STRIP-CARS))
 (44 8 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (40 20 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (40 12 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (40 12 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (40 8 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (39 7 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (38 38 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (37 37 (:TYPE-PRESCRIPTION NATP))
 (36 36 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (36 36 (:REWRITE SET::IN-SET))
 (36 12 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (33 33 (:REWRITE CONSP-OF-STRIP-CARS))
 (32 32 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (28 28 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (26 7 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (24 12 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (24 4 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (24 4 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (24 4 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (24 3 (:DEFINITION ASSOC-EQUAL))
 (22 22 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (22 11 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (22 11 (:REWRITE SET-EQUIV-ASYM))
 (20 4 (:DEFINITION NFIX))
 (16 16 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (16 16 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (16 4 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (16 4 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (16 4 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (15 3 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (14 14 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (12 4 (:REWRITE COMMUTATIVITY-OF-+))
 (12 4 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (12 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (11 11 (:TYPE-PRESCRIPTION SET-EQUIV))
 (11 11 (:REWRITE SUBSETP-OF-CDR))
 (11 11 (:REWRITE SUBSETP-MEMBER . 4))
 (11 11 (:REWRITE SUBSETP-MEMBER . 3))
 (11 11 (:REWRITE SUBSETP-MEMBER . 2))
 (11 11 (:REWRITE SUBSETP-MEMBER . 1))
 (11 11 (:REWRITE INTERSECTP-MEMBER . 3))
 (11 11 (:REWRITE INTERSECTP-MEMBER . 2))
 (8 8 (:TYPE-PRESCRIPTION NFIX))
 (8 8 (:TYPE-PRESCRIPTION FILE-TABLE-P))
 (8 8 (:TYPE-PRESCRIPTION FD-TABLE-P))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (8 8 (:TYPE-PRESCRIPTION DIR-STREAM-TABLE-P))
 (8 8 (:REWRITE PREFIXP-REFLEXIVE))
 (8 8 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (6 6 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (4 4 (:REWRITE SUBSETP-REFL))
 (4 4 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 4 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (4 4 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-59
 (338934 231 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (338245 3324 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (336637 2794 (:REWRITE LEN-WHEN-PREFIXP))
 (233418 2640 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (220434 3360 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (212780 12 (:LINEAR PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9))
 (164805 13 (:REWRITE ABS-FIND-FILE-SRC-CORRECTNESS-1))
 (136546 28 (:DEFINITION ABS-FIND-FILE-SRC))
 (116682 4032 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (100363 12728 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (99160 12797 (:DEFINITION LEN))
 (72124 2688 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (48198 371 (:REWRITE ZP-OPEN))
 (47516 370 (:REWRITE NFIX-WHEN-ZP))
 (38605 13011 (:REWRITE DEFAULT-+-2))
 (33800 8936 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (19000 204 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (17428 114 (:REWRITE CONSP-OF-NTHCDR))
 (15123 2994 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (13011 13011 (:REWRITE DEFAULT-+-1))
 (12794 12794 (:LINEAR LEN-WHEN-PREFIXP))
 (12059 3483 (:REWRITE DEFAULT-<-2))
 (12051 1106 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (10426 148 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (10203 3483 (:REWRITE DEFAULT-<-1))
 (9980 542 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (9675 645 (:DEFINITION TRUE-LISTP))
 (9586 280 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (8454 84 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (7484 955 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (7296 7296 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (6846 231 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (6846 204 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (6401 367 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (6160 1290 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (6099 4128 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (5781 246 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (5681 173 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (5113 123 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (4960 424 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (4781 4415 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (4774 4360 (:REWRITE DEFAULT-CAR))
 (4764 1460 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (4751 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-NOT-ZP-SRC-LEMMA-2))
 (4664 424 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (4596 2616 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (4596 2616 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (4537 2971 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (4442 4442 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (3581 160 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (3437 3437 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (3324 3324 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (3324 3324 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (3324 3324 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (3324 3324 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (3238 1290 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (3110 159 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (2748 2748 (:REWRITE SUBSETP-TRANS2))
 (2748 2748 (:REWRITE SUBSETP-TRANS))
 (2460 246 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (2206 370 (:REWRITE NFIX-WHEN-NATP))
 (2155 57 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (2086 180 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (2005 308 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (1968 1968 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (1948 1948 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (1948 1948 (:TYPE-PRESCRIPTION D-E-P))
 (1948 974 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (1701 543 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1666 148 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1664 412 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1634 1511 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1511 1511 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1475 1106 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1474 1474 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (1426 1426 (:REWRITE CONSP-OF-LIST-FIX))
 (1368 228 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (1353 369 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1353 123 (:REWRITE SUBSETP-CAR-MEMBER))
 (1290 1290 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1253 1253 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1230 369 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1188 132 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (1161 16 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1120 160 (:DEFINITION NATP))
 (1118 25 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (1060 530 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (1056 132 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (991 991 (:TYPE-PRESCRIPTION ABS-FS-P))
 (974 974 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (974 974 (:REWRITE SET::IN-SET))
 (905 16 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (824 824 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (815 287 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (788 110 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (764 287 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (640 484 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (615 15 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-55))
 (569 338 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (560 560 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (556 139 (:REWRITE MEMBER-WHEN-ATOM))
 (543 543 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (539 302 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (513 180 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (492 492 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (424 424 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (401 401 (:REWRITE CONSP-OF-STRIP-CARS))
 (369 369 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (369 123 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (369 123 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (360 360 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (321 107 (:REWRITE COMMUTATIVITY-OF-+))
 (309 123 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (288 16 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (255 255 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (252 84 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (246 123 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (246 123 (:REWRITE SET-EQUIV-ASYM))
 (237 237 (:TYPE-PRESCRIPTION NFIX))
 (222 37 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (222 37 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (222 37 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (210 42 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (192 192 (:REWRITE PREFIXP-REFLEXIVE))
 (192 16 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (186 186 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (186 186 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (186 186 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (155 155 (:REWRITE SUBSETP-MEMBER . 2))
 (155 155 (:REWRITE SUBSETP-MEMBER . 1))
 (153 9 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (148 37 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (140 28 (:DEFINITION NFIX))
 (139 139 (:REWRITE SUBSETP-MEMBER . 4))
 (139 139 (:REWRITE SUBSETP-MEMBER . 3))
 (139 139 (:REWRITE INTERSECTP-MEMBER . 3))
 (139 139 (:REWRITE INTERSECTP-MEMBER . 2))
 (132 132 (:REWRITE SUBSETP-REFL))
 (128 16 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (123 123 (:TYPE-PRESCRIPTION SET-EQUIV))
 (123 123 (:REWRITE SUBSETP-OF-CDR))
 (123 123 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (123 123 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (118 118 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (115 115 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (114 114 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (112 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9 . 2))
 (102 102 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (97 97 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (96 16 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (96 16 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (74 74 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (74 74 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (57 57 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (54 9 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (48 48 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (37 37 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (37 37 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (37 37 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (33 33 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (24 6 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (18 9 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (16 16 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (6 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-2))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-54
 (17014 27 (:LINEAR PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9))
 (16470 14 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (14270 385 (:DEFINITION ASSOC-EQUAL))
 (10611 222 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-55))
 (8046 37 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (7881 373 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (7490 7 (:DEFINITION NTHCDR))
 (7006 17 (:REWRITE LEN-WHEN-PREFIXP))
 (6473 306 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (5935 989 (:REWRITE DEFAULT-CDR))
 (5850 1791 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (5118 21 (:REWRITE ZP-OPEN))
 (4954 12 (:REWRITE NFIX-WHEN-ZP))
 (4698 310 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2542 1 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (2535 1 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2494 124 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (2396 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-230))
 (2359 16 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (1905 13 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1686 305 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1535 1529 (:REWRITE DEFAULT-CAR))
 (1436 1436 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1200 200 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-12))
 (1094 183 (:DEFINITION STRIP-CARS))
 (1091 137 (:DEFINITION LEN))
 (910 611 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (787 2 (:REWRITE CONSP-OF-NTHCDR))
 (780 30 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (777 303 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (753 303 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (729 27 (:LINEAR ABS-MKDIR-CORRECTNESS-LEMMA-233))
 (713 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (612 612 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (611 611 (:TYPE-PRESCRIPTION ABS-FS-P))
 (611 611 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (532 310 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (491 64 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (458 306 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (450 30 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (425 151 (:REWRITE DEFAULT-+-2))
 (410 410 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (410 410 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (410 410 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (378 3 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (373 373 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (328 328 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (303 303 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (300 30 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-1 . 1))
 (284 14 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (273 5 (:REWRITE ABS-FIND-FILE-SRC-CORRECTNESS-1))
 (272 117 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-36))
 (246 40 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (244 244 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (244 61 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (244 49 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (235 235 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (235 2 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (224 8 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (197 58 (:REWRITE DEFAULT-<-2))
 (180 16 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (172 9 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-6 . 1))
 (170 14 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (166 10 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (160 4 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-6 . 3))
 (156 156 (:LINEAR LEN-WHEN-PREFIXP))
 (151 151 (:REWRITE DEFAULT-+-1))
 (150 10 (:DEFINITION TRUE-LISTP))
 (144 144 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (141 8 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (133 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (132 132 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (127 58 (:REWRITE DEFAULT-<-1))
 (124 124 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (122 122 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (120 20 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (120 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (115 115 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (115 115 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (102 102 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (102 2 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (99 7 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (94 94 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (88 8 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (88 4 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (82 82 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (81 27 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (78 51 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (75 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-32))
 (64 64 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (64 64 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (60 20 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (56 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (56 2 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (54 54 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (54 12 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (53 20 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (53 20 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (53 1 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 1))
 (52 17 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (50 12 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (50 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (44 22 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (43 12 (:REWRITE NFIX-WHEN-NATP))
 (40 40 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (40 40 (:TYPE-PRESCRIPTION D-E-P))
 (40 20 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (40 10 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (36 36 (:TYPE-PRESCRIPTION STRIP-CARS))
 (36 4 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (35 35 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (35 35 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (35 35 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (35 35 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (34 34 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (34 7 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (33 21 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (33 21 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (28 28 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (27 27 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (22 12 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (22 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (22 2 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (21 7 (:REWRITE COMMUTATIVITY-OF-+))
 (20 20 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (20 20 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (20 20 (:REWRITE SET::IN-SET))
 (14 14 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (14 4 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-6 . 2))
 (14 4 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-39))
 (14 2 (:DEFINITION NATP))
 (12 12 (:TYPE-PRESCRIPTION PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-19))
 (12 12 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (12 12 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (12 12 (:REWRITE SUBSETP-TRANS2))
 (12 12 (:REWRITE SUBSETP-TRANS))
 (12 8 (:REWRITE CONSP-OF-STRIP-CARS))
 (12 2 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (10 10 (:TYPE-PRESCRIPTION NFIX))
 (10 10 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (10 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (9 3 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (8 8 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (8 2 (:REWRITE MEMBER-WHEN-ATOM))
 (7 7 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (7 7 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (7 7 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (6 6 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (5 5 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (4 4 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (4 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (4 2 (:REWRITE SET-EQUIV-ASYM))
 (4 1 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (3 3 (:TYPE-PRESCRIPTION NAMES-AT))
 (3 3 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (3 3 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (2 2 (:TYPE-PRESCRIPTION SET-EQUIV))
 (2 2 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (2 2 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (2 2 (:REWRITE SUBSETP-OF-CDR))
 (2 2 (:REWRITE SUBSETP-MEMBER . 4))
 (2 2 (:REWRITE SUBSETP-MEMBER . 3))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 3))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (2 2 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (2 2 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (2 1 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2 1 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1 1 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-64
 (1732 433 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (252 42 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-12))
 (194 10 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (166 20 (:REWRITE DEFAULT-CDR))
 (115 2 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (102 4 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (89 9 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (89 3 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (83 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (67 8 (:DEFINITION ASSOC-EQUAL))
 (65 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (61 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (60 6 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (53 4 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (50 5 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (44 2 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (35 8 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (34 31 (:REWRITE DEFAULT-CAR))
 (33 12 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (28 1 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (28 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (25 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (24 1 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (21 4 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (21 4 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (19 10 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (18 1 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (17 2 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (17 1 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (16 16 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (16 3 (:DEFINITION STRIP-CARS))
 (15 1 (:DEFINITION TRUE-LISTP))
 (14 6 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (14 1 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (12 12 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (12 4 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (12 3 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (12 2 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (11 1 (:REWRITE SUBSETP-CAR-MEMBER))
 (11 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (10 10 (:TYPE-PRESCRIPTION ABS-FS-P))
 (10 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-11))
 (9 4 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (9 4 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-P))
 (7 1 (:DEFINITION NATP))
 (6 6 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (6 6 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (6 6 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (6 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (6 2 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (6 1 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (6 1 (:DEFINITION LEN))
 (5 5 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (5 5 (:REWRITE SUBSETP-TRANS))
 (5 3 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (5 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (5 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (5 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (5 1 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (4 4 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION D-E-P))
 (4 4 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (4 2 (:REWRITE SET-EQUIV-ASYM))
 (4 2 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (4 2 (:REWRITE DEFAULT-<-2))
 (4 1 (:REWRITE MEMBER-WHEN-ATOM))
 (3 3 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (3 3 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (3 3 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (3 3 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (3 3 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (3 1 (:REWRITE DEFAULT-+-2))
 (3 1 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (3 1 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (2 2 (:TYPE-PRESCRIPTION SET-EQUIV))
 (2 2 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE SET::IN-SET))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2 1 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (2 1 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1 1 (:TYPE-PRESCRIPTION NFIX))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (1 1 (:REWRITE SUBSETP-OF-CDR))
 (1 1 (:REWRITE SUBSETP-MEMBER . 4))
 (1 1 (:REWRITE SUBSETP-MEMBER . 3))
 (1 1 (:REWRITE SUBSETP-MEMBER . 2))
 (1 1 (:REWRITE SUBSETP-MEMBER . 1))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FRAME-P-OF-PARTIAL-COLLAPSE))
 (1 1 (:REWRITE DEFAULT-+-1))
 (1 1 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (1 1 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-65
 (35627 26 (:DEFINITION COLLAPSE-THIS))
 (23574 497 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (22990 26 (:DEFINITION CTX-APP))
 (20407 9 (:DEFINITION ABS-SEPARATE))
 (19638 102 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (19152 9 (:DEFINITION DIST-NAMES))
 (19054 834 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (18573 2646 (:DEFINITION LEN))
 (14377 540 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (14246 2010 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (13756 290 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (12166 5550 (:REWRITE DEFAULT-CDR))
 (10361 235 (:DEFINITION ABS-ADDRS))
 (9844 259 (:REWRITE LEN-WHEN-PREFIXP))
 (9493 567 (:REWRITE NFIX-WHEN-ZP))
 (8406 51 (:DEFINITION NTHCDR))
 (7489 44 (:REWRITE CONSP-OF-NTHCDR))
 (6878 102 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (6004 47 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (5788 52 (:DEFINITION 1ST-COMPLETE))
 (5536 564 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (5394 2748 (:REWRITE DEFAULT-+-2))
 (4694 31 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (4553 52 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (4498 13 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (3946 99 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (3706 26 (:DEFINITION REMOVE-EQUAL))
 (3550 78 (:REWRITE REMOVE-WHEN-ABSENT))
 (3509 159 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (3486 53 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (3454 3418 (:REWRITE DEFAULT-CAR))
 (3360 14 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (3228 561 (:DEFINITION ASSOC-EQUAL))
 (3062 1283 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (2905 2 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (2748 2748 (:REWRITE DEFAULT-+-1))
 (2501 567 (:REWRITE NFIX-WHEN-NATP))
 (2456 361 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (2442 311 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (2425 2425 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (2419 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-18))
 (2299 2 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-6))
 (2238 30 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (2227 1660 (:REWRITE DEFAULT-<-2))
 (2066 2066 (:LINEAR LEN-WHEN-PREFIXP))
 (2061 54 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (1875 186 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (1818 36 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-1))
 (1815 1660 (:REWRITE DEFAULT-<-1))
 (1569 261 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (1426 266 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1361 18 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (1347 2 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (1251 36 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (1231 155 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1155 564 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1115 105 (:DEFINITION ABS-ASSOC-DEFINITION))
 (1107 36 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (1104 1104 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (1095 1 (:DEFINITION ABS-ALLOC))
 (1088 497 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1066 150 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (1065 19 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1055 254 (:DEFINITION NATP))
 (1016 505 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (994 497 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (985 235 (:DEFINITION NFIX))
 (884 18 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (857 857 (:TYPE-PRESCRIPTION PREFIXP))
 (750 18 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (722 722 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (702 270 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (687 687 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (642 361 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (617 160 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (598 274 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (598 274 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (547 16 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-3))
 (534 534 (:TYPE-PRESCRIPTION M1-FILE-P))
 (517 101 (:REWRITE SUBSETP-MEMBER . 1))
 (497 497 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (497 497 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (497 497 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (497 497 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (466 466 (:TYPE-PRESCRIPTION NATP))
 (455 58 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (405 135 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (396 2 (:REWRITE FIND-NEW-INDEX-CORRECTNESS-1))
 (368 10 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (350 350 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (339 99 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (332 332 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (312 52 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (310 20 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (308 64 (:DEFINITION STRIP-CARS))
 (301 44 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-9))
 (280 280 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (270 270 (:TYPE-PRESCRIPTION NAMES-AT))
 (270 270 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (269 269 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (268 26 (:REWRITE ASSOC-AFTER-REMOVE-ASSOC))
 (259 58 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (249 27 (:DEFINITION ABS-PUT-ASSOC-DEFINITION))
 (243 53 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (231 67 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (227 99 (:REWRITE MEMBER-WHEN-ATOM))
 (225 45 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (224 52 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (220 44 (:TYPE-PRESCRIPTION ABS-PWRITE-CORRECTNESS-LEMMA-7))
 (209 209 (:TYPE-PRESCRIPTION NFIX))
 (209 19 (:REWRITE SUBSETP-CAR-MEMBER))
 (198 47 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (192 192 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (192 192 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (192 192 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (190 24 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (186 186 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (186 22 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (180 36 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-2))
 (178 9 (:DEFINITION FRAME-ADDRS-ROOT))
 (160 160 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (160 38 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (153 51 (:REWRITE COMMUTATIVITY-OF-+))
 (150 150 (:TYPE-PRESCRIPTION STRIP-CARS))
 (147 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-52))
 (142 71 (:REWRITE SET-EQUIV-ASYM))
 (133 53 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-12))
 (130 1 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (126 126 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (119 119 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (114 3 (:LINEAR ABS-MKDIR-CORRECTNESS-LEMMA-9))
 (113 21 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (110 75 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (108 27 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (105 20 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (101 101 (:REWRITE SUBSETP-MEMBER . 2))
 (100 2 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (99 99 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (99 99 (:REWRITE SUBSETP-MEMBER . 4))
 (99 99 (:REWRITE SUBSETP-MEMBER . 3))
 (99 99 (:REWRITE INTERSECTP-MEMBER . 3))
 (99 99 (:REWRITE INTERSECTP-MEMBER . 2))
 (95 18 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (91 91 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (90 90 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (81 27 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (80 80 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (78 78 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (71 71 (:TYPE-PRESCRIPTION SET-EQUIV))
 (71 71 (:REWRITE SUBSETP-OF-CDR))
 (60 60 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (59 59 (:REWRITE SUBSETP-TRANS2))
 (59 59 (:REWRITE SUBSETP-TRANS))
 (55 35 (:REWRITE CONSP-OF-STRIP-CARS))
 (54 54 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (54 54 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (52 52 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (51 51 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (51 11 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (46 46 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (45 45 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (44 44 (:TYPE-PRESCRIPTION FIND-NEW-INDEX-CORRECTNESS-LEMMA-1))
 (44 8 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (40 40 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (36 36 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (36 36 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (36 36 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (36 36 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (36 36 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (36 36 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (36 36 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (36 36 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (36 36 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (36 36 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (36 36 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (36 36 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (29 29 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (27 27 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (27 27 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (27 27 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (27 27 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (26 26 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (25 4 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (24 10 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (24 8 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (24 1 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-1))
 (23 23 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (20 20 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (18 18 (:REWRITE INTERSECTP-MEMBER . 1))
 (18 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-73))
 (17 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (16 16 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (14 1 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (13 13 (:REWRITE CAR-OF-NTHCDR))
 (13 13 (:REWRITE ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 (13 13 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (12 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-9))
 (9 9 (:REWRITE ABS-NO-DUPS-P-OF-FRAME-VAL->DIR))
 (8 8 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (8 2 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (7 7 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-14))
 (7 1 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (6 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-2))
 (6 1 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (3 3 (:TYPE-PRESCRIPTION FRAME-WITH-ROOT))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-DIRNAME))
 (3 3 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (3 3 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (3 1 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (3 1 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:TYPE-PRESCRIPTION ATOM))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-66
 (447172 87 (:DEFINITION COLLAPSE))
 (245548 174 (:DEFINITION COLLAPSE-THIS))
 (150023 174 (:DEFINITION CTX-APP))
 (125182 48 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (106818 2132 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (101066 34817 (:REWRITE DEFAULT-CDR))
 (85332 512 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (84523 21 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-16))
 (77485 2442 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (70715 9485 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (68939 1532 (:DEFINITION ABS-ADDRS))
 (65361 1215 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (54271 677 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (49820 28 (:DEFINITION HIFAT-FIND-FILE))
 (49258 3365 (:REWRITE NFIX-WHEN-ZP))
 (47541 3145 (:REWRITE ZP-OPEN))
 (45864 1096 (:REWRITE LEN-WHEN-PREFIXP))
 (44568 57 (:REWRITE ABS-SEPARATE-CORRECTNESS-2))
 (41461 248 (:REWRITE CONSP-OF-NTHCDR))
 (40776 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-231))
 (39964 352 (:DEFINITION 1ST-COMPLETE))
 (39044 32 (:DEFINITION DIST-NAMES))
 (39031 2532 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (38969 293 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (37464 1384 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (36244 16 (:DEFINITION ABS-SEPARATE))
 (35877 348 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (35017 2 (:DEFINITION HIFAT-PLACE-FILE))
 (32008 512 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (30102 87 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (29847 5017 (:DEFINITION ASSOC-EQUAL))
 (28382 106 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (28270 704 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (27245 26859 (:REWRITE DEFAULT-CAR))
 (26720 13587 (:REWRITE DEFAULT-+-2))
 (24775 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-56))
 (24113 570 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (23910 174 (:DEFINITION REMOVE-EQUAL))
 (23238 1207 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (23159 30 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-1))
 (22993 2341 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (22866 522 (:REWRITE REMOVE-WHEN-ABSENT))
 (22272 348 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (18598 544 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-3))
 (17540 3 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (17534 8 (:REWRITE CTX-APP-OK-OF-ABS-PLACE-FILE-HELPER-1))
 (17486 3365 (:REWRITE NFIX-WHEN-NATP))
 (16502 12 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (16075 210 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (15846 6 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (15501 18 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (14878 1873 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (14570 18 (:REWRITE SUBSETP-CAR-MEMBER))
 (14362 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 1))
 (13636 4 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-3))
 (13624 13587 (:REWRITE DEFAULT-+-1))
 (13110 10334 (:REWRITE DEFAULT-<-2))
 (11683 10334 (:REWRITE DEFAULT-<-1))
 (11639 1718 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (11287 1748 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (10020 9798 (:LINEAR LEN-WHEN-PREFIXP))
 (9458 1044 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (9369 13 (:DEFINITION ABS-ALLOC))
 (7771 709 (:DEFINITION ABS-ASSOC-DEFINITION))
 (7622 1709 (:DEFINITION NFIX))
 (7301 22 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (7174 2190 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (6928 1637 (:DEFINITION NATP))
 (6625 3268 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6042 6 (:REWRITE PREFIXP-OF-APPEND-ARG1))
 (5931 2 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-25))
 (5874 220 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (5712 608 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (5316 220 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (5197 2341 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (5042 5042 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (5019 102 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (4827 186 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (4764 6 (:REWRITE PREFIXP-OF-APPEND-ARG2))
 (4639 4639 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (4491 2532 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (4204 28 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (3955 3955 (:TYPE-PRESCRIPTION PREFIXP))
 (3904 735 (:DEFINITION STRIP-CARS))
 (3800 190 (:DEFINITION FRAME-ADDRS-ROOT))
 (3358 574 (:REWRITE SUBSETP-MEMBER . 1))
 (3256 14 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (3240 64 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (3232 64 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-1))
 (3185 13 (:REWRITE FIND-NEW-INDEX-CORRECTNESS-1))
 (3181 275 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (3088 1215 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (2911 19 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (2848 1183 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (2848 1183 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (2835 389 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (2662 2210 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2560 386 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (2544 128 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (2288 128 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (2281 127 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (2270 274 (:DEFINITION PUT-ASSOC-EQUAL))
 (2214 2210 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2214 2210 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (2212 2210 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (2146 174 (:REWRITE ASSOC-AFTER-REMOVE-ASSOC))
 (2124 2124 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2114 40 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (2112 352 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (2088 352 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (2046 2046 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (1900 197 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1761 187 (:DEFINITION ABS-PUT-ASSOC-DEFINITION))
 (1746 8 (:REWRITE PREFIXP-OF-CONS-LEFT))
 (1707 40 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (1694 1694 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (1663 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (1613 449 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1568 147 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (1444 1444 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (1384 1384 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (1379 1379 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1379 1379 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1379 1379 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1367 165 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (1291 16 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (1260 561 (:REWRITE MEMBER-WHEN-ATOM))
 (1214 293 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (996 30 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (993 4 (:REWRITE NTHCDR-OF-CDR))
 (980 980 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (932 8 (:REWRITE M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (898 274 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (848 241 (:REWRITE COMMUTATIVITY-OF-+))
 (800 400 (:REWRITE SET-EQUIV-ASYM))
 (684 171 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (612 144 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (609 609 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (574 574 (:REWRITE SUBSETP-MEMBER . 2))
 (570 570 (:REWRITE SUBSETP-MEMBER . 4))
 (570 570 (:REWRITE INTERSECTP-MEMBER . 3))
 (570 570 (:REWRITE INTERSECTP-MEMBER . 2))
 (559 529 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (524 17 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-73))
 (522 522 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (513 171 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (508 28 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (504 96 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (436 4 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-ABS-PLACE-FILE-HELPER . 3))
 (400 400 (:TYPE-PRESCRIPTION SET-EQUIV))
 (366 366 (:REWRITE SUBSETP-OF-CDR))
 (352 352 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (338 13 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (320 64 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-2))
 (312 12 (:DEFINITION TAKE))
 (299 299 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (293 293 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (292 292 (:TYPE-PRESCRIPTION ABS-PLACE-FILE-HELPER-OF-APPEND-LEMMA-2))
 (282 150 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (280 280 (:REWRITE SUBSETP-TRANS))
 (271 271 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (231 231 (:TYPE-PRESCRIPTION STRIP-CARS))
 (222 3 (:REWRITE LEN-OF-APPEND))
 (216 39 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (215 215 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (212 82 (:REWRITE CONSP-OF-STRIP-CARS))
 (211 211 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (204 204 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (204 34 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-2))
 (197 74 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (187 187 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (187 187 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (174 174 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (174 174 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (169 169 (:REWRITE FAT32-FILENAME-LIST-P-OF-DIRNAME))
 (169 169 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (164 32 (:REWRITE FOLD-CONSTS-IN-+))
 (159 159 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (155 48 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (153 153 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (147 40 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (144 16 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (141 15 (:DEFINITION ATOM))
 (138 2 (:REWRITE ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-9))
 (128 128 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (128 128 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (128 128 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (128 128 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (128 128 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (128 128 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (128 128 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (128 128 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (128 128 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (128 128 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (128 128 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (128 128 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (120 120 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (119 108 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (112 112 (:TYPE-PRESCRIPTION NATP-OF-ABS-PLACE-FILE-HELPER))
 (105 105 (:REWRITE CAR-OF-NTHCDR))
 (98 98 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (96 12 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (96 12 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (96 6 (:REWRITE FAT32-FILENAME-LIST-FIX-OF-APPEND))
 (96 4 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-2))
 (87 87 (:REWRITE ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 (78 13 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (76 76 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (64 64 (:REWRITE INTERSECTP-MEMBER . 1))
 (63 3 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (60 15 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (60 4 (:DEFINITION TRUE-LISTP))
 (56 56 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (56 56 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (52 49 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (44 4 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (42 42 (:TYPE-PRESCRIPTION TAKE))
 (40 20 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (38 8 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (36 4 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (36 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-55))
 (34 4 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (32 32 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (32 32 (:REWRITE ABS-FS-P-OF-ABS-PLACE-FILE-HELPER))
 (30 8 (:REWRITE UNICITY-OF-0))
 (28 28 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (28 28 (:REWRITE ABS-FS-P-OF-COLLAPSE))
 (24 24 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (24 24 (:REWRITE NFIX-UNDER-NAT-EQUIV))
 (24 24 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (24 24 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (24 6 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (22 8 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (21 21 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-CORRECTNESS-1 . 2))
 (20 20 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (20 8 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (18 6 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (15 15 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (14 14 (:TYPE-PRESCRIPTION ATOM))
 (14 14 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (12 12 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (12 12 (:TYPE-PRESCRIPTION D-E-P))
 (12 12 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (12 12 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (12 12 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (12 12 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (12 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (12 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (12 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (12 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (12 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (12 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (12 6 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (12 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (12 4 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (10 10 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (10 1 (:REWRITE CTX-APP-OK-OF-CTX-APP-LIST-SEQ-LEMMA-1))
 (9 3 (:REWRITE APPEND-OF-CONS-UNDER-SET-EQUIV))
 (8 8 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (6 6 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (6 6 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (6 6 (:REWRITE SET::IN-SET))
 (6 6 (:REWRITE CONSP-OF-LIST-FIX))
 (6 6 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-14))
 (5 2 (:TYPE-PRESCRIPTION FINAL-VAL-SEQ-OF-COLLAPSE-THIS-LEMMA-7))
 (4 4 (:REWRITE SUBSETP-REFL))
 (4 4 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (4 4 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (4 1 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-34))
 (2 2 (:TYPE-PRESCRIPTION VALID-SEQP))
 (2 2 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (2 2 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (2 1 (:REWRITE VALID-SEQP-WHEN-PREFIXP))
 (1 1 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (1 1 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (1 1 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (1 1 (:REWRITE ABS-FS-P-OF-ABS-ALLOC-1))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-67
 (137449 23 (:DEFINITION COLLAPSE))
 (64677 46 (:DEFINITION COLLAPSE-THIS))
 (39725 46 (:DEFINITION CTX-APP))
 (37298 773 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (30397 1302 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (30101 4290 (:DEFINITION LEN))
 (29619 154 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (29452 13 (:DEFINITION ABS-SEPARATE))
 (28677 16 (:DEFINITION DIST-NAMES))
 (27464 26 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (25281 10110 (:REWRITE DEFAULT-CDR))
 (23419 3113 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (23097 851 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (22220 437 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (21561 5 (:DEFINITION HIFAT-FIND-FILE))
 (20560 11 (:REWRITE ABS-SEPARATE-CORRECTNESS-2))
 (19622 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (17915 396 (:DEFINITION ABS-ADDRS))
 (16897 326 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (15171 12 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (15078 388 (:REWRITE LEN-WHEN-PREFIXP))
 (15062 6 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (14847 2 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (14769 714 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (14676 918 (:REWRITE NFIX-WHEN-ZP))
 (14595 398 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (14522 178 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (14504 12 (:REWRITE SUBSETP-CAR-MEMBER))
 (14362 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 1))
 (14142 839 (:REWRITE ZP-OPEN))
 (13692 86 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (13150 79 (:DEFINITION NTHCDR))
 (12633 72 (:REWRITE CONSP-OF-NTHCDR))
 (11567 182 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (11055 82 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (10754 154 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (10736 92 (:DEFINITION 1ST-COMPLETE))
 (10283 5 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-1))
 (10178 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-231))
 (8821 864 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (8734 4442 (:REWRITE DEFAULT-+-2))
 (8386 57 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (8257 92 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (8038 1347 (:DEFINITION ASSOC-EQUAL))
 (7958 23 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (7261 7188 (:REWRITE DEFAULT-CAR))
 (5888 92 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (5846 46 (:DEFINITION REMOVE-EQUAL))
 (5796 276 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (5644 153 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (5570 138 (:REWRITE REMOVE-WHEN-ABSENT))
 (5470 160 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-3))
 (4664 918 (:REWRITE NFIX-WHEN-NATP))
 (4442 4442 (:REWRITE DEFAULT-+-1))
 (4376 58 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (4011 507 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (3503 2728 (:REWRITE DEFAULT-<-2))
 (3208 3208 (:LINEAR LEN-WHEN-PREFIXP))
 (3110 442 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (3007 91 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (2955 450 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2949 2728 (:REWRITE DEFAULT-<-1))
 (2626 52 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-1))
 (2341 272 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (2187 3 (:DEFINITION ABS-ALLOC))
 (2137 32 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (2033 187 (:DEFINITION ABS-ASSOC-DEFINITION))
 (1867 64 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (1853 218 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1821 906 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1803 864 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1760 4 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (1758 66 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (1739 779 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1720 1720 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (1694 410 (:DEFINITION NFIX))
 (1687 421 (:DEFINITION NATP))
 (1659 64 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (1583 66 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (1534 767 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (1463 32 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (1426 1426 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1407 714 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1334 1334 (:TYPE-PRESCRIPTION PREFIXP))
 (1244 1 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-25))
 (1134 438 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1052 194 (:DEFINITION STRIP-CARS))
 (1050 1050 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (981 441 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (981 441 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (926 5 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (899 899 (:TYPE-PRESCRIPTION M1-FILE-P))
 (892 156 (:REWRITE SUBSETP-MEMBER . 1))
 (868 82 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (840 42 (:DEFINITION FRAME-ADDRS-ROOT))
 (779 779 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (779 779 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (779 779 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (779 779 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (735 3 (:REWRITE FIND-NEW-INDEX-CORRECTNESS-1))
 (725 44 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (707 105 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (675 6 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (648 100 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (648 92 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (611 159 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (597 199 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (595 595 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (594 72 (:DEFINITION PUT-ASSOC-EQUAL))
 (583 8 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (562 562 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (562 562 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (552 92 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (550 550 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (521 521 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (516 46 (:REWRITE ASSOC-AFTER-REMOVE-ASSOC))
 (502 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (465 465 (:TYPE-PRESCRIPTION NAMES-AT))
 (459 49 (:DEFINITION ABS-PUT-ASSOC-DEFINITION))
 (454 454 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (438 438 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (398 398 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (398 398 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (398 398 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (398 398 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (386 44 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (348 82 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (348 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (338 33 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (333 153 (:REWRITE MEMBER-WHEN-ATOM))
 (329 39 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (325 65 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (315 315 (:TYPE-PRESCRIPTION NFIX))
 (314 314 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (293 293 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (273 67 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (260 52 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-2))
 (259 82 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (225 75 (:REWRITE COMMUTATIVITY-OF-+))
 (224 112 (:REWRITE SET-EQUIV-ASYM))
 (222 222 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (196 49 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (161 161 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (156 156 (:REWRITE SUBSETP-MEMBER . 2))
 (154 154 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (153 153 (:REWRITE SUBSETP-MEMBER . 4))
 (153 153 (:REWRITE SUBSETP-MEMBER . 3))
 (153 153 (:REWRITE INTERSECTP-MEMBER . 3))
 (153 153 (:REWRITE INTERSECTP-MEMBER . 2))
 (152 19 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-9))
 (150 135 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (148 148 (:TYPE-PRESCRIPTION DIST-NAMES))
 (147 49 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (138 138 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (136 136 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (134 67 (:REWRITE CONSP-OF-DIRNAME))
 (112 112 (:TYPE-PRESCRIPTION SET-EQUIV))
 (105 7 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (100 100 (:REWRITE SUBSETP-OF-CDR))
 (96 12 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (96 12 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (93 93 (:TYPE-PRESCRIPTION STRIP-CARS))
 (92 92 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (92 92 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (90 5 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (85 85 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (82 82 (:REWRITE SUBSETP-TRANS))
 (78 3 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (77 2 (:REWRITE LEN-OF-DIRNAME))
 (75 75 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (69 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-73))
 (68 68 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (68 28 (:REWRITE CONSP-OF-STRIP-CARS))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (63 7 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (62 62 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (60 60 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (60 10 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-2))
 (53 53 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (51 19 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (49 49 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (49 49 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (49 46 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (48 48 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (46 46 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (46 46 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (40 40 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (38 38 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (38 33 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (36 4 (:DEFINITION ATOM))
 (32 32 (:REWRITE INTERSECTP-MEMBER . 1))
 (32 32 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (30 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (30 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (29 29 (:REWRITE FAT32-FILENAME-LIST-P-OF-DIRNAME))
 (27 3 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (24 24 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (24 24 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (23 23 (:REWRITE CAR-OF-NTHCDR))
 (23 23 (:REWRITE ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 (19 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (18 3 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (18 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (15 15 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (15 15 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (12 12 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (12 12 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (10 2 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (10 1 (:REWRITE CTX-APP-OK-OF-CTX-APP-LIST-SEQ-LEMMA-1))
 (9 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (9 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-55))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (8 2 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (5 5 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (5 5 (:REWRITE ABS-FS-P-OF-COLLAPSE))
 (5 2 (:TYPE-PRESCRIPTION FINAL-VAL-SEQ-OF-COLLAPSE-THIS-LEMMA-7))
 (4 4 (:TYPE-PRESCRIPTION ATOM))
 (4 1 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (3 3 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (3 3 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (3 3 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-14))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-15))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (2 2 (:TYPE-PRESCRIPTION VALID-SEQP))
 (2 1 (:REWRITE VALID-SEQP-WHEN-PREFIXP))
 (1 1 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (1 1 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (1 1 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-70
 (5306 2 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (5302 1 (:DEFINITION COLLAPSE))
 (2968 2 (:DEFINITION COLLAPSE-THIS))
 (2283 49 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (2264 1 (:DEFINITION ABS-SEPARATE))
 (2127 1 (:DEFINITION DIST-NAMES))
 (2020 10 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (1829 82 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (1810 2 (:DEFINITION CTX-APP))
 (1755 250 (:DEFINITION LEN))
 (1394 60 (:REWRITE NFIX-WHEN-ZP))
 (1372 53 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1331 26 (:DEFINITION ABS-ADDRS))
 (1321 195 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1314 580 (:REWRITE DEFAULT-CDR))
 (1300 29 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (1277 55 (:REWRITE ZP-OPEN))
 (1211 1 (:DEFINITION ABS-ALLOC))
 (966 26 (:REWRITE LEN-WHEN-PREFIXP))
 (828 1 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (782 5 (:DEFINITION NTHCDR))
 (686 10 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (655 8 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (641 4 (:REWRITE CONSP-OF-NTHCDR))
 (545 56 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (537 4 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (510 260 (:REWRITE DEFAULT-+-2))
 (503 32 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (499 9 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (480 2 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (444 4 (:DEFINITION 1ST-COMPLETE))
 (416 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (399 388 (:REWRITE DEFAULT-CAR))
 (392 4 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (391 67 (:DEFINITION ASSOC-EQUAL))
 (388 6 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (365 4 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (346 1 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (340 55 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (327 36 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (308 180 (:REWRITE DEFAULT-<-2))
 (304 34 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (298 2 (:DEFINITION REMOVE-EQUAL))
 (290 1 (:REWRITE FIND-NEW-INDEX-CORRECTNESS-1))
 (286 6 (:REWRITE REMOVE-WHEN-ABSENT))
 (285 18 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (270 28 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (270 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (268 39 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-9))
 (260 260 (:REWRITE DEFAULT-+-1))
 (256 4 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (252 12 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (229 6 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (202 4 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-1))
 (200 200 (:LINEAR LEN-WHEN-PREFIXP))
 (196 180 (:REWRITE DEFAULT-<-1))
 (180 9 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (162 29 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (157 15 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (151 2 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (139 4 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (135 8 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (131 9 (:DEFINITION ABS-ASSOC-DEFINITION))
 (125 125 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (125 125 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (123 66 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (123 4 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (121 16 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (116 28 (:DEFINITION NATP))
 (114 3 (:LINEAR ABS-MKDIR-CORRECTNESS-LEMMA-9))
 (113 56 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (111 55 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (110 110 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (110 2 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (108 108 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (106 49 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (100 26 (:DEFINITION NFIX))
 (98 49 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (84 84 (:TYPE-PRESCRIPTION PREFIXP))
 (69 18 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (68 68 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (68 26 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (68 8 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (60 3 (:DEFINITION FRAME-ADDRS-ROOT))
 (58 58 (:TYPE-PRESCRIPTION M1-FILE-P))
 (57 27 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (57 27 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (52 9 (:DEFINITION STRIP-CARS))
 (51 5 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (49 49 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (49 49 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (49 49 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (49 49 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (49 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (47 11 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (42 10 (:REWRITE SUBSETP-MEMBER . 1))
 (39 13 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (38 4 (:DEFINITION PUT-ASSOC-EQUAL))
 (37 37 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (37 37 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (37 37 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (35 35 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (35 35 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (34 34 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (33 9 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (33 3 (:DEFINITION ABS-PUT-ASSOC-DEFINITION))
 (32 3 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (32 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-73))
 (30 30 (:TYPE-PRESCRIPTION NAMES-AT))
 (29 29 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (29 9 (:REWRITE MEMBER-WHEN-ATOM))
 (28 28 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (26 26 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (25 5 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (24 24 (:TYPE-PRESCRIPTION STRIP-CARS))
 (24 24 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (24 4 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (23 2 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (22 22 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (22 22 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (22 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (20 20 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (20 4 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-2))
 (20 2 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (18 18 (:REWRITE SUBSETP-TRANS))
 (16 4 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (16 4 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (16 4 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (16 2 (:DEFINITION ATOM))
 (15 15 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (15 7 (:REWRITE CONSP-OF-STRIP-CARS))
 (15 5 (:REWRITE COMMUTATIVITY-OF-+))
 (14 7 (:REWRITE SET-EQUIV-ASYM))
 (14 7 (:REWRITE CONSP-OF-DIRNAME))
 (14 1 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (12 12 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (12 3 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (12 2 (:REWRITE ASSOC-AFTER-REMOVE-ASSOC))
 (10 10 (:REWRITE SUBSETP-MEMBER . 2))
 (10 10 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (10 5 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (9 9 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (9 9 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (9 9 (:REWRITE SUBSETP-MEMBER . 4))
 (9 9 (:REWRITE SUBSETP-MEMBER . 3))
 (9 9 (:REWRITE INTERSECTP-MEMBER . 3))
 (9 9 (:REWRITE INTERSECTP-MEMBER . 2))
 (9 3 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (8 8 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (8 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (7 7 (:TYPE-PRESCRIPTION SET-EQUIV))
 (7 7 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (6 6 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (6 6 (:REWRITE SUBSETP-OF-CDR))
 (5 5 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (5 5 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (4 4 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (4 4 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (4 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (3 3 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-DIRNAME))
 (3 3 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (3 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (2 2 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ATOM))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 1))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (2 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-6))
 (2 1 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (2 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (1 1 (:TYPE-PRESCRIPTION DIST-NAMES))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE CAR-OF-NTHCDR))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (1 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-14))
 (1 1 (:REWRITE ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-71
 (326050 65 (:DEFINITION COLLAPSE))
 (174891 130 (:DEFINITION COLLAPSE-THIS))
 (109041 130 (:DEFINITION CTX-APP))
 (78698 1564 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (78239 26313 (:REWRITE DEFAULT-CDR))
 (61448 355 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (52890 6820 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (52428 1139 (:DEFINITION ABS-ADDRS))
 (51926 1741 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (49130 909 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (48445 26 (:DEFINITION HIFAT-FIND-FILE))
 (44242 1936 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (43514 1044 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (38537 486 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (38175 44 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (35726 2389 (:REWRITE NFIX-WHEN-ZP))
 (34991 2316 (:REWRITE ZP-OPEN))
 (33972 818 (:REWRITE LEN-WHEN-PREFIXP))
 (30000 155 (:REWRITE CONSP-OF-NTHCDR))
 (29659 261 (:DEFINITION 1ST-COMPLETE))
 (29452 13 (:DEFINITION ABS-SEPARATE))
 (28983 17 (:DEFINITION DIST-NAMES))
 (28112 80 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (27700 209 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (24775 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-56))
 (22941 3836 (:DEFINITION ASSOC-EQUAL))
 (22513 355 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (22490 65 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (21104 260 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (20994 923 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (20943 20598 (:REWRITE DEFAULT-CAR))
 (19603 9962 (:REWRITE DEFAULT-+-2))
 (18759 15 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (17428 1730 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (16640 260 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (16598 130 (:DEFINITION REMOVE-EQUAL))
 (16496 428 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (15818 390 (:REWRITE REMOVE-WHEN-ABSENT))
 (15171 12 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (15062 6 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (14850 5 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (14504 12 (:REWRITE SUBSETP-CAR-MEMBER))
 (14362 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 1))
 (13675 400 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-3))
 (13636 4 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-3))
 (11660 166 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (11184 1420 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (10383 13 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-231))
 (9963 9962 (:REWRITE DEFAULT-+-1))
 (9557 1269 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (9369 13 (:DEFINITION ABS-ALLOC))
 (9101 7270 (:REWRITE DEFAULT-<-2))
 (7984 807 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (7949 1324 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (7733 7270 (:REWRITE DEFAULT-<-1))
 (7301 22 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (7054 7054 (:LINEAR LEN-WHEN-PREFIXP))
 (5967 533 (:DEFINITION ABS-ASSOC-DEFINITION))
 (5931 2 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-25))
 (5124 157 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (4791 2400 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (4677 1151 (:DEFINITION NFIX))
 (4586 1165 (:DEFINITION NATP))
 (4212 452 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3847 3847 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (3840 157 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (3820 191 (:DEFINITION FRAME-ADDRS-ROOT))
 (3785 1730 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (3766 70 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (3652 1572 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (3590 1936 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (3488 116 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (3476 3476 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (3185 13 (:REWRITE FIND-NEW-INDEX-CORRECTNESS-1))
 (3086 581 (:DEFINITION STRIP-CARS))
 (2905 16 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (2844 2844 (:TYPE-PRESCRIPTION PREFIXP))
 (2792 314 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (2626 52 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-1))
 (2545 203 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2510 430 (:REWRITE SUBSETP-MEMBER . 1))
 (2349 929 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (2294 2294 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (2294 2294 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (2187 34 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (2138 890 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (2138 890 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (2100 2 (:REWRITE CTX-APP-OK-OF-ABS-PLACE-FILE-HELPER-1))
 (1972 230 (:DEFINITION PUT-ASSOC-EQUAL))
 (1894 183 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1887 68 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (1727 265 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (1679 68 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (1644 130 (:REWRITE ASSOC-AFTER-REMOVE-ASSOC))
 (1572 1572 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1572 1572 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1572 1572 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1572 1572 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1571 92 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (1568 261 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (1566 261 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (1550 1550 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1525 1525 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (1404 372 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1395 53 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (1365 143 (:DEFINITION ABS-PUT-ASSOC-DEFINITION))
 (1229 114 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (1224 1224 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (1154 26 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (1052 1052 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (1044 1044 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (1039 1039 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1039 1039 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1039 1039 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (963 417 (:REWRITE MEMBER-WHEN-ATOM))
 (894 894 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (873 209 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (790 104 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (666 1 (:REWRITE NTHCDR-OF-CDR))
 (665 665 (:TYPE-PRESCRIPTION NFIX))
 (657 16 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (644 202 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (578 289 (:REWRITE SET-EQUIV-ASYM))
 (532 31 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (524 17 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-73))
 (491 161 (:REWRITE COMMUTATIVITY-OF-+))
 (455 455 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (433 433 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (430 430 (:REWRITE SUBSETP-MEMBER . 2))
 (428 428 (:REWRITE SUBSETP-MEMBER . 4))
 (428 428 (:REWRITE INTERSECTP-MEMBER . 3))
 (428 428 (:REWRITE INTERSECTP-MEMBER . 2))
 (414 399 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (390 390 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (381 127 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (345 69 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (338 13 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (297 72 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (289 289 (:TYPE-PRESCRIPTION SET-EQUIV))
 (268 268 (:REWRITE SUBSETP-OF-CDR))
 (261 261 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (260 52 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-2))
 (237 5 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (233 2 (:REWRITE M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (212 212 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (204 204 (:REWRITE SUBSETP-TRANS))
 (178 178 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (172 172 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (170 170 (:REWRITE FAT32-FILENAME-LIST-P-OF-DIRNAME))
 (166 134 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (164 164 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (159 159 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (155 57 (:REWRITE CONSP-OF-STRIP-CARS))
 (151 151 (:TYPE-PRESCRIPTION STRIP-CARS))
 (150 25 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-2))
 (148 148 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (148 148 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (147 147 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (138 2 (:REWRITE ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-9))
 (130 130 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (130 130 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (120 15 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (113 113 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-CORRECTNESS-1 . 2))
 (112 112 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (109 1 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-ABS-PLACE-FILE-HELPER . 3))
 (105 105 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (96 12 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (96 12 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (92 92 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (83 78 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (78 13 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (76 44 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (75 75 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (73 73 (:TYPE-PRESCRIPTION ABS-PLACE-FILE-HELPER-OF-APPEND-LEMMA-2))
 (68 68 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (68 68 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (68 68 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (68 68 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (68 68 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (68 68 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (68 68 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (68 68 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (68 68 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (68 68 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (68 68 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (68 68 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (66 66 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (65 65 (:REWRITE CAR-OF-NTHCDR))
 (65 65 (:REWRITE ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 (64 5 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (61 24 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (56 56 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-OF-APPEND-LEMMA-1))
 (52 52 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (52 52 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (50 16 (:REWRITE HIFAT-NO-DUPS-P-OF-HIFAT-PLACE-FILE))
 (49 46 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (48 16 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (37 37 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (36 4 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (34 34 (:REWRITE INTERSECTP-MEMBER . 1))
 (33 33 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (31 31 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (30 2 (:DEFINITION TRUE-LISTP))
 (28 28 (:TYPE-PRESCRIPTION NATP-OF-ABS-PLACE-FILE-HELPER))
 (28 7 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (26 13 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (26 10 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (24 24 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (24 24 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (24 1 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-2))
 (22 22 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (22 22 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (22 2 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (19 19 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (19 4 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (19 1 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (17 2 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (15 15 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (14 14 (:TYPE-PRESCRIPTION ATOM))
 (14 14 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-1))
 (13 13 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (13 13 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (12 12 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (12 12 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (12 4 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (12 3 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (10 10 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (10 10 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (10 10 (:REWRITE ABS-FS-P-OF-ABS-PLACE-FILE-HELPER))
 (10 4 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (10 1 (:REWRITE CTX-APP-OK-OF-CTX-APP-LIST-SEQ-LEMMA-1))
 (9 9 (:REWRITE NOT-M1-REGULAR-FILE-P-OF-M1-FILE-HIFAT-FILE-ALIST-FIX))
 (9 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (9 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-55))
 (6 6 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (6 6 (:TYPE-PRESCRIPTION D-E-P))
 (6 6 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-34))
 (6 3 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (6 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (5 5 (:REWRITE ABS-FILE-ALIST-P-OF-COLLAPSE))
 (5 2 (:TYPE-PRESCRIPTION FINAL-VAL-SEQ-OF-COLLAPSE-THIS-LEMMA-7))
 (4 4 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-52))
 (3 3 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (3 3 (:REWRITE SET::IN-SET))
 (3 3 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-14))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (2 2 (:TYPE-PRESCRIPTION VALID-SEQP))
 (2 2 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (2 2 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (2 2 (:REWRITE CONSP-OF-LIST-FIX))
 (2 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (2 1 (:REWRITE VALID-SEQP-WHEN-PREFIXP))
 (1 1 (:REWRITE PUT-ASSOC-UNDER-HIFAT-EQUIV-3))
 (1 1 (:REWRITE PUT-ASSOC-UNDER-HIFAT-EQUIV-1))
 (1 1 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE HIFAT-EQUIV-OF-PUT-ASSOC-2))
 (1 1 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:REWRITE ABS-FS-P-OF-ABS-ALLOC-1))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 )
(ABS-MKDIR-CORRECTNESS-2
 (13915664 11662 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (7244202 18007 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (5373820 146151 (:REWRITE NFIX-WHEN-ZP))
 (3334753 18007 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (3216962 781 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (3135067 36505 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (2303651 11306 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-36))
 (2230869 17368 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (1958748 4954 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (1851586 33419 (:REWRITE LEN-WHEN-PREFIXP))
 (1773747 19967 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
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 )
(ABS-PWRITE-CORRECTNESS-LEMMA-21
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 (860 860 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
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 (408 1 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
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 (284 284 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (276 19 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
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 (270 24 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (268 4 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
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 (205 205 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (202 202 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (194 3 (:LINEAR INSERT-TEXT-CORRECTNESS-3 . 1))
 (189 51 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (185 185 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (180 6 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (168 56 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
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 (144 36 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (135 9 (:DEFINITION TRUE-LISTP))
 (132 6 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (130 130 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (121 37 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (108 18 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (100 100 (:REWRITE FAT32-FILENAME-LIST-P-OF-DIRNAME))
 (96 4 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-2))
 (87 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (84 84 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (84 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (84 3 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (81 18 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (78 13 (:REWRITE INSERT-TEXT-CORRECTNESS-4))
 (75 18 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (74 74 (:TYPE-PRESCRIPTION PREFIXP))
 (71 71 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-INSERT-TEXT))
 (71 4 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (69 20 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (56 56 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (55 55 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (54 54 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (54 18 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (54 2 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (52 8 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (49 49 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (45 45 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (42 12 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (40 40 (:TYPE-PRESCRIPTION NATP-OF-ABS-PLACE-FILE-HELPER))
 (36 36 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (36 36 (:TYPE-PRESCRIPTION D-E-P))
 (36 18 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (36 12 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (34 8 (:REWRITE COMMUTATIVITY-OF-+))
 (33 3 (:REWRITE SUBSETP-CAR-MEMBER))
 (30 10 (:REWRITE STR::EXPLODE-OF-IMPLODE))
 (29 9 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (28 28 (:TYPE-PRESCRIPTION ABS-PLACE-FILE-HELPER-OF-APPEND-LEMMA-2))
 (28 4 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (28 1 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (27 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (24 24 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (21 13 (:REWRITE CONSP-OF-STRIP-CARS))
 (21 9 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (20 8 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (20 8 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (20 4 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (20 1 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (18 18 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (18 18 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (18 18 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (18 18 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (18 18 (:REWRITE SUBSETP-TRANS2))
 (18 18 (:REWRITE SUBSETP-TRANS))
 (18 18 (:REWRITE SET::IN-SET))
 (18 6 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (18 4 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (17 17 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (17 17 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (17 17 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (17 17 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (15 3 (:LINEAR INSERT-TEXT-CORRECTNESS-3 . 2))
 (12 12 (:TYPE-PRESCRIPTION FRAME-VAL))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (12 3 (:REWRITE MEMBER-WHEN-ATOM))
 (12 1 (:REWRITE APPEND-WHEN-PREFIXP))
 (10 10 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-CORRECTNESS-1 . 2))
 (10 10 (:REWRITE STR::MAKE-CHARACTER-LIST-IS-IDENTITY-UNDER-CHARLISTEQV))
 (10 10 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (9 9 (:TYPE-PRESCRIPTION NFIX))
 (9 9 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (9 9 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (8 8 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (8 8 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (8 8 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (8 8 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (6 6 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (6 6 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (6 3 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (6 3 (:REWRITE SET-EQUIV-ASYM))
 (5 5 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (4 4 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (4 4 (:REWRITE ABS-FS-P-OF-ABS-PLACE-FILE-HELPER))
 (4 4 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (4 4 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (4 2 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE))
 (3 3 (:TYPE-PRESCRIPTION SET-EQUIV))
 (3 3 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (3 3 (:REWRITE SUBSETP-OF-CDR))
 (3 3 (:REWRITE SUBSETP-MEMBER . 4))
 (3 3 (:REWRITE SUBSETP-MEMBER . 3))
 (3 3 (:REWRITE SUBSETP-MEMBER . 2))
 (3 3 (:REWRITE SUBSETP-MEMBER . 1))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 3))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 2))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (3 3 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (3 3 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (2 2 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (1 1 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (1 1 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-19
 (2608761 1138 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (2503812 372 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (1703062 2344 (:LINEAR PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9))
 (1640986 382 (:DEFINITION NTHCDR))
 (1532943 30486 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (1441358 28581 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1286235 304 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (1285021 29417 (:DEFINITION ASSOC-EQUAL))
 (1113023 30815 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1015512 764 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (1007785 20120 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-55))
 (997192 289 (:DEFINITION NAT-EQUIV$INLINE))
 (897037 764 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (869774 14795 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-36))
 (691662 13097 (:REWRITE NFIX-WHEN-ZP))
 (678810 7059 (:REWRITE ZP-OPEN))
 (621508 764 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (524572 36 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (482392 114617 (:REWRITE DEFAULT-CDR))
 (414100 14990 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (247752 92118 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (201322 362 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-231))
 (156239 22961 (:DEFINITION LEN))
 (145540 24258 (:DEFINITION STRIP-CARS))
 (140412 140256 (:REWRITE DEFAULT-CAR))
 (131586 5068 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (124489 195 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (123596 121420 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (83661 10651 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (82541 35273 (:REWRITE DEFAULT-+-2))
 (76020 5068 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (71187 15 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-2))
 (56553 135 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (55414 14990 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (53951 13399 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (53794 29810 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (52336 5237 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-1 . 1))
 (45792 15 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-59))
 (41720 41720 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (41720 10430 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (39676 892 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (39656 6086 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (35720 35273 (:REWRITE DEFAULT-+-1))
 (30164 30164 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (27770 569 (:DEFINITION PUT-ASSOC-EQUAL))
 (27157 12898 (:REWRITE DEFAULT-<-2))
 (26215 26215 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (26215 26215 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (26215 26215 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (25562 25562 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (24326 722 (:REWRITE M1-FILE-CONTENTS-FIX-WHEN-M1-FILE-CONTENTS-P))
 (21844 21844 (:LINEAR LEN-WHEN-PREFIXP))
 (21844 21844 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (21044 5261 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-12))
 (20860 20860 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (20604 15 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 1))
 (18198 18198 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (17787 1018 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (16972 16972 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (14804 12898 (:REWRITE DEFAULT-<-1))
 (14010 15 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-230))
 (13399 13399 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (11670 670 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (10652 1000 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (10651 10651 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (9820 184 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (9511 2359 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (9437 70 (:REWRITE EQUAL-OF-M1-FILE))
 (9387 149 (:LINEAR INSERT-TEXT-CORRECTNESS-3 . 1))
 (8355 60 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (7607 7607 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-95))
 (7208 1648 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (6016 296 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (5583 5583 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (5378 5378 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (5325 15 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (5312 5312 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-6))
 (5227 169 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-6))
 (5204 184 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-1))
 (5184 2016 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (5112 296 (:REWRITE HIFAT-SUBSETP-REFLEXIVE-LEMMA-3))
 (5068 5068 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (4718 4718 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (4711 1175 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (4378 1018 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (3722 653 (:DEFINITION NATP))
 (3324 3324 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (3084 514 (:REWRITE INSERT-TEXT-CORRECTNESS-4))
 (2861 169 (:REWRITE ABS-SEPARATE-OF-FRAME-WITH-ROOT))
 (2734 2734 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-INSERT-TEXT))
 (2704 169 (:REWRITE ABS-SEPARATE-OF-PARTIAL-COLLAPSE))
 (2628 184 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2441 244 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-52))
 (2328 196 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (2310 621 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (2240 448 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (2240 448 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (2040 531 (:REWRITE COMMUTATIVITY-OF-+))
 (2016 2016 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1995 15 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (1876 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (1736 192 (:REWRITE SUBSETP-CAR-MEMBER))
 (1703 1703 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (1676 408 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1515 505 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (1490 298 (:DEFINITION NFIX))
 (1458 1018 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (1188 44 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (1170 15 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (1166 210 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1159 111 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-101))
 (1095 365 (:REWRITE STR::EXPLODE-OF-IMPLODE))
 (745 149 (:LINEAR INSERT-TEXT-CORRECTNESS-3 . 2))
 (738 63 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (609 609 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (596 149 (:REWRITE FOLD-CONSTS-IN-+))
 (584 292 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (576 64 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (570 15 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (540 37 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (520 520 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (505 505 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (472 472 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (384 192 (:REWRITE SET-EQUIV-ASYM))
 (382 382 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (376 376 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (365 365 (:REWRITE STR::MAKE-CHARACTER-LIST-IS-IDENTITY-UNDER-CHARLISTEQV))
 (354 354 (:REWRITE SUBSETP-MEMBER . 2))
 (354 354 (:REWRITE SUBSETP-MEMBER . 1))
 (338 338 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-6))
 (289 289 (:TYPE-PRESCRIPTION NAT-EQUIV$INLINE))
 (262 262 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (254 56 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (240 8 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (236 236 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (225 15 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-65))
 (224 224 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (224 224 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (224 224 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (224 224 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (224 196 (:REWRITE MEMBER-WHEN-ATOM))
 (215 215 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (210 210 (:REWRITE SUBSETP-MEMBER . 4))
 (210 210 (:REWRITE INTERSECTP-MEMBER . 3))
 (210 210 (:REWRITE INTERSECTP-MEMBER . 2))
 (209 209 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (209 209 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (204 4 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (192 192 (:TYPE-PRESCRIPTION SET-EQUIV))
 (192 192 (:REWRITE SUBSETP-OF-CDR))
 (185 185 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (180 60 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (176 8 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (150 150 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (149 149 (:REWRITE NFIX-UNDER-NAT-EQUIV))
 (136 136 (:TYPE-PRESCRIPTION M1-FILE->D-E$INLINE))
 (135 15 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-39))
 (123 123 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (123 123 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (108 36 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (108 24 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (106 106 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (100 24 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (93 93 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (89 89 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (89 89 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (72 72 (:TYPE-PRESCRIPTION STRIP-CARS))
 (60 60 (:TYPE-PRESCRIPTION FRAME-WITH-ROOT))
 (54 54 (:REWRITE NOT-M1-REGULAR-FILE-P-OF-M1-FILE-HIFAT-FILE-ALIST-FIX))
 (53 53 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (48 4 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (45 45 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (39 13 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (36 36 (:TYPE-PRESCRIPTION D-E-P))
 (36 36 (:REWRITE D-E-P-OF-M1-FILE->D-E))
 (36 4 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (34 20 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (30 30 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-43))
 (30 30 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-6 . 3))
 (24 24 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (24 24 (:REWRITE SUBSETP-TRANS2))
 (24 24 (:REWRITE SUBSETP-TRANS))
 (24 16 (:REWRITE CONSP-OF-STRIP-CARS))
 (14 14 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (12 12 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (10 10 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (8 8 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (8 8 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (8 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (7 7 (:TYPE-PRESCRIPTION NULL))
 (7 7 (:DEFINITION NULL))
 (4 4 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (4 4 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-20
 (154137 76 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (139234 38 (:DEFINITION NTHCDR))
 (136739 171 (:LINEAR PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9))
 (111458 21 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (99370 2372 (:DEFINITION ASSOC-EQUAL))
 (90295 18 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (87500 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-226))
 (87172 207 (:LINEAR ABS-MKDIR-CORRECTNESS-LEMMA-233))
 (80586 1567 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-55))
 (78982 1060 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-36))
 (75582 67 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-231))
 (72947 879 (:REWRITE NFIX-WHEN-ZP))
 (71662 509 (:REWRITE ZP-OPEN))
 (65384 81 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (58916 9 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-59))
 (58667 2377 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (54913 76 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (48660 2181 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (47655 9 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-2))
 (37404 9153 (:REWRITE DEFAULT-CDR))
 (32095 1097 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (28448 9 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 1))
 (23924 9 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-230))
 (22442 7740 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (17820 24 (:REWRITE LEN-WHEN-PREFIXP))
 (13356 2227 (:DEFINITION STRIP-CARS))
 (12845 2224 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (12214 1658 (:DEFINITION LEN))
 (11859 879 (:REWRITE NFIX-WHEN-NATP))
 (11653 11641 (:REWRITE DEFAULT-CAR))
 (10720 24 (:REWRITE CONSP-OF-NTHCDR))
 (9480 9468 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (8825 423 (:DEFINITION NATP))
 (8468 24 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (7333 2496 (:REWRITE DEFAULT-+-2))
 (6892 24 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (6545 6545 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (6545 6545 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (6435 912 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (5710 8 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (4640 2198 (:REWRITE DEFAULT-<-2))
 (4608 36 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (4539 2198 (:REWRITE DEFAULT-<-1))
 (4282 1106 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (4241 1097 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (4029 2274 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3156 3156 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (3156 789 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (2766 9 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (2509 2496 (:REWRITE DEFAULT-+-1))
 (2205 2205 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2151 468 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (2070 2070 (:LINEAR LEN-WHEN-PREFIXP))
 (2070 2070 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1973 1973 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1973 1973 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1973 1973 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (1964 1964 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1876 938 (:REWRITE CONSP-OF-DIRNAME))
 (1830 4 (:REWRITE EQUAL-OF-FRAME-VAL))
 (1578 1578 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (1485 76 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (1431 1431 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1407 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (1299 1299 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
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 (1233 9 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (1127 280 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1106 1106 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (1047 42 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (936 9 (:DEFINITION PUT-ASSOC-EQUAL))
 (786 189 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (726 66 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (702 9 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (639 55 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (561 119 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (476 476 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (445 76 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (402 402 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
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 (274 4 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (262 4 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
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 (184 6 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (182 182 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (162 66 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
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 (99 33 (:REWRITE STR::EXPLODE-OF-IMPLODE))
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 (90 90 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (90 45 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-1))
 (88 88 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
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 (70 70 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
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 (54 18 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (54 6 (:REWRITE HIFAT-SUBSETP-REFLEXIVE-LEMMA-3))
 (51 51 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (49 49 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (49 49 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (49 49 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
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 (47 47 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (45 45 (:TYPE-PRESCRIPTION TRUE-LISTP))
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 (38 38 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (36 36 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
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 (36 18 (:REWRITE SET::NONEMPTY-MEANS-SET))
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 (20 4 (:LINEAR INSERT-TEXT-CORRECTNESS-3 . 2))
 (18 18 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
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 (8 8 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (8 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-34))
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 (6 3 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (6 3 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
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 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
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 (4 4 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (4 4 (:REWRITE ABS-FS-P-OF-ABS-PLACE-FILE-HELPER))
 (4 4 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
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 (3 3 (:REWRITE PUT-ASSOC-UNDER-HIFAT-EQUIV-1))
 (3 3 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (3 3 (:REWRITE HIFAT-EQUIV-OF-PUT-ASSOC-2))
 (3 3 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (2 2 (:TYPE-PRESCRIPTION NULL))
 (2 2 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (2 2 (:DEFINITION NULL))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-41
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 (450565 1418 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (443490 454 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (440872 326 (:DEFINITION ABS-PUT-ASSOC-DEFINITION))
 (434192 304 (:REWRITE EQUAL-OF-ABS-FILE))
 (420935 304 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (418129 304 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (404277 8 (:DEFINITION HIFAT-PLACE-FILE))
 (401430 212 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (396541 13626 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (386111 11441 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
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 (251609 2603 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
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 (101189 2117 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
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 (73635 70 (:DEFINITION ABS-ALLOC))
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 (49855 212 (:REWRITE ABS-ADDRS-OF-CTX-APP-LEMMA-6))
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 (39562 4378 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (37146 4782 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (36961 9 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-92))
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 (24375 24375 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (22628 11316 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
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 (20660 20660 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (20490 822 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (19995 1221 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (19788 1350 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (17422 562 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (17269 4 (:REWRITE CTX-APP-OK-OF-ABS-PLACE-FILE-HELPER-1))
 (17204 142 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (16191 15399 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (14969 14969 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (14432 1094 (:DEFINITION ABS-ASSOC-DEFINITION))
 (13234 219 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-4))
 (13198 2362 (:DEFINITION STRIP-CARS))
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 (11581 23 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (10651 822 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (10624 2989 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (9960 48 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-1))
 (9387 20 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-ABS-PLACE-FILE-HELPER . 3))
 (8512 686 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (8060 64 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (7972 4782 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (7556 1 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-10))
 (7477 31 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-10))
 (6421 6421 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (6202 1132 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (6132 304 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (5857 106 (:REWRITE ABS-SEPARATE-OF-REMOVE-ASSOC))
 (5648 292 (:REWRITE M1-FILE-CONTENTS-FIX-WHEN-M1-FILE-CONTENTS-P))
 (5629 5629 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (5507 5507 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (5502 3 (:REWRITE PREFIXP-OF-APPEND-ARG2))
 (5112 5112 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (5004 28 (:REWRITE ABS-NO-DUPS-FILE-FIX-WHEN-ABS-NO-DUPS-FILE-P))
 (4741 1957 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (4722 4722 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (4643 1505 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (4227 3 (:REWRITE PREFIXP-OF-APPEND-ARG1))
 (4081 33 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (3997 8 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (3902 1499 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (3620 128 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (3580 28 (:REWRITE M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (3440 1132 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (3387 3387 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (3344 304 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (3228 32 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (3090 515 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (3018 3018 (:TYPE-PRESCRIPTION CTX-APP))
 (2988 707 (:REWRITE FRAME-P-OF-REMOVE-ASSOC))
 (2826 76 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-55))
 (2818 2290 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (2767 6 (:REWRITE PREFIXP-OF-CONS-LEFT))
 (2756 64 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (2750 2641 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2732 2732 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (2730 210 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (2716 4 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-PLACE-FILE-HELPER))
 (2671 2345 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (2668 2668 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2668 2668 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (2537 2537 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2345 2345 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (2192 515 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (2186 814 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1980 40 (:LINEAR INSERT-TEXT-CORRECTNESS-3 . 1))
 (1966 1966 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (1932 3 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE->CONTENTS-OF-HIFAT-FIND-FILE-LEMMA-1))
 (1756 878 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-INSERT-TEXT))
 (1736 1736 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (1713 1713 (:REWRITE SUBSETP-MEMBER . 2))
 (1633 1633 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (1590 304 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1580 5 (:REWRITE ABS-SEPARATE-OF-PARTIAL-COLLAPSE))
 (1578 789 (:REWRITE SET-EQUIV-ASYM))
 (1577 1577 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1577 1577 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1577 1577 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1577 1577 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1550 210 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-17))
 (1520 304 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (1484 380 (:REWRITE COMMUTATIVITY-OF-+))
 (1458 1458 (:REWRITE SUBSETP-MEMBER . 4))
 (1458 1458 (:REWRITE SUBSETP-MEMBER . 3))
 (1458 1458 (:REWRITE INTERSECTP-MEMBER . 3))
 (1458 1458 (:REWRITE INTERSECTP-MEMBER . 2))
 (1391 1391 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (1331 878 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (1306 34 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (1224 815 (:REWRITE DEFAULT-+-2))
 (1192 1192 (:TYPE-PRESCRIPTION ABS-PLACE-FILE-HELPER-OF-APPEND-LEMMA-2))
 (1188 1188 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (1165 14 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (1149 9 (:REWRITE LEN-OF-NTHCDR))
 (1133 1133 (:REWRITE SUBSETP-TRANS))
 (1126 815 (:REWRITE DEFAULT-+-1))
 (1116 346 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (1015 15 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-2))
 (958 17 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (956 22 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (934 934 (:TYPE-PRESCRIPTION ABS-FILE))
 (912 304 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (896 896 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (855 855 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (855 293 (:REWRITE CONSP-OF-STRIP-CARS))
 (852 852 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (852 852 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (843 843 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (839 4 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (789 789 (:TYPE-PRESCRIPTION SET-EQUIV))
 (756 18 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (755 655 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (746 23 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (630 630 (:TYPE-PRESCRIPTION STRIP-CARS))
 (608 304 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (581 581 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (515 515 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (512 512 (:REWRITE SUBSETP-OF-CDR))
 (472 118 (:REWRITE STR::EXPLODE-OF-IMPLODE))
 (462 462 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (456 456 (:REWRITE ABS-FILE-ALIST-P-OF-COLLAPSE))
 (454 454 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (440 2 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (420 70 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (390 6 (:REWRITE LEN-OF-APPEND))
 (355 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-42))
 (346 346 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (304 304 (:TYPE-PRESCRIPTION D-E-P))
 (304 304 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (288 64 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (256 256 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (252 100 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (224 16 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (216 48 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-2))
 (216 18 (:REWRITE ABS-FIND-FILE-SRC-CORRECTNESS-1))
 (211 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-222))
 (204 6 (:DEFINITION TAKE))
 (200 40 (:LINEAR INSERT-TEXT-CORRECTNESS-3 . 2))
 (188 188 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (158 158 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (156 156 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (144 100 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (144 36 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (140 140 (:REWRITE ABS-FS-P-OF-ABS-ALLOC-1))
 (137 137 (:REWRITE CAR-OF-NTHCDR))
 (129 31 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (128 128 (:REWRITE ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 (120 5 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-2))
 (118 118 (:REWRITE STR::MAKE-CHARACTER-LIST-IS-IDENTITY-UNDER-CHARLISTEQV))
 (94 94 (:TYPE-PRESCRIPTION NATP-OF-ABS-PLACE-FILE-HELPER))
 (79 79 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (64 64 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (63 15 (:REWRITE FOLD-CONSTS-IN-+))
 (63 9 (:REWRITE DEFAULT-UNARY-MINUS))
 (60 30 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (60 30 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (60 20 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (58 58 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (56 56 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (56 56 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (52 52 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (48 3 (:REWRITE FAT32-FILENAME-LIST-FIX-OF-APPEND))
 (47 47 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (46 46 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (46 46 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (44 11 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (40 40 (:REWRITE ABS-FS-P-OF-ABS-PLACE-FILE-HELPER))
 (40 28 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (39 3 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (36 36 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (36 9 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (32 32 (:REWRITE INTERSECTP-MEMBER . 1))
 (32 30 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-52))
 (32 16 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE))
 (32 4 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (32 4 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (31 31 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (29 29 (:TYPE-PRESCRIPTION FRAME-VAL))
 (28 28 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE->CONTENTS-OF-HIFAT-FIND-FILE))
 (28 28 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (26 26 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (24 24 (:TYPE-PRESCRIPTION TAKE))
 (24 8 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (21 21 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-CORRECTNESS-1 . 2))
 (20 20 (:TYPE-PRESCRIPTION NFIX))
 (20 20 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (20 20 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (18 18 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-7))
 (16 16 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (16 16 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (14 14 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-3))
 (12 12 (:REWRITE NFIX-UNDER-NAT-EQUIV))
 (12 4 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (9 9 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (9 9 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (9 9 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (9 9 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-34))
 (9 9 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (9 9 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (9 9 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (9 3 (:REWRITE APPEND-OF-CONS-UNDER-SET-EQUIV))
 (8 8 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (7 7 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (4 4 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-14))
 (4 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (3 3 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (2 2 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (2 2 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (1 1 (:REWRITE SUBSETP-NIL))
 (1 1 (:REWRITE SET-EQUIV-OF-NIL))
 (1 1 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-43
 (35550 946 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (34820 5 (:DEFINITION COLLAPSE))
 (30899 257 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (27293 192 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (26362 10 (:DEFINITION COLLAPSE-THIS))
 (23615 204 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (22823 185 (:DEFINITION ABS-ADDRS))
 (22776 2325 (:REWRITE DEFAULT-CDR))
 (22515 10 (:DEFINITION CTX-APP))
 (20132 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-75))
 (19894 1 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-25))
 (19055 8 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-1))
 (15109 2 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-10))
 (14167 410 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (13087 423 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (12803 975 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (12461 415 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (12189 339 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (10638 6 (:DEFINITION HIFAT-FIND-FILE))
 (9221 61 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (8648 30 (:REWRITE ABS-SEPARATE-CORRECTNESS-2))
 (8530 7 (:DEFINITION ABS-ALLOC))
 (7101 232 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (6928 127 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6805 65 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (5645 263 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (5564 77 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (5414 22 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (5316 17 (:DEFINITION ABS-PUT-ASSOC-DEFINITION))
 (5226 40 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (5032 36 (:REWRITE REMOVE-WHEN-ABSENT))
 (4941 9 (:REWRITE EQUAL-OF-ABS-FILE))
 (4655 21 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (4585 9 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (4504 8 (:REWRITE CONSP-OF-NTHCDR))
 (4497 9 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (4458 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-35))
 (4206 727 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (4031 77 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (3978 197 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (3919 84 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (3780 73 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (3776 12 (:DEFINITION REMOVE-EQUAL))
 (3736 2 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (3275 1213 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2837 410 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2776 20 (:DEFINITION 1ST-COMPLETE))
 (2770 409 (:DEFINITION ASSOC-EQUAL))
 (2743 58 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (2714 2583 (:REWRITE DEFAULT-CAR))
 (2690 1 (:DEFINITION ABS-SEPARATE))
 (2616 3 (:DEFINITION DIST-NAMES))
 (2099 680 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1900 385 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1873 672 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1868 15 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (1844 60 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (1840 20 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (1542 1542 (:TYPE-PRESCRIPTION M1-FILE-P))
 (1480 232 (:REWRITE NFIX-WHEN-NATP))
 (1458 194 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (1392 195 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (1362 156 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (1323 1127 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (1291 1127 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (1233 60 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (1213 1213 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1116 136 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1062 564 (:REWRITE DEFAULT-<-2))
 (942 564 (:REWRITE DEFAULT-<-1))
 (880 424 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (870 870 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (830 4 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-1))
 (808 808 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (793 47 (:DEFINITION ABS-ASSOC-DEFINITION))
 (789 185 (:DEFINITION NFIX))
 (744 24 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (740 189 (:DEFINITION NATP))
 (720 36 (:DEFINITION FRAME-ADDRS-ROOT))
 (685 8 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (672 672 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (651 651 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (642 60 (:REWRITE ZP-OPEN))
 (620 40 (:REWRITE MEMBER-WHEN-ATOM))
 (596 596 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (575 23 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (548 15 (:DEFINITION NTHCDR))
 (541 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-42))
 (528 24 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (484 484 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (456 31 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (445 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-38))
 (442 2 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (428 1 (:DEFINITION HIFAT-NO-DUPS-P))
 (426 426 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (422 74 (:DEFINITION STRIP-CARS))
 (401 30 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (377 377 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (358 73 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (338 2 (:REWRITE ABS-ADDRS-OF-CTX-APP-LEMMA-6))
 (322 4 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (320 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (314 194 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (301 4 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (299 23 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (298 192 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (288 288 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (282 282 (:TYPE-PRESCRIPTION NATP))
 (269 50 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (267 267 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (257 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-56))
 (234 234 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (225 1 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-16))
 (216 216 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (214 214 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (214 214 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (205 41 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (203 203 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (203 43 (:REWRITE SUBSETP-MEMBER . 1))
 (202 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-231))
 (189 189 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (178 2 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (169 67 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (163 67 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (161 50 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (161 9 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (156 156 (:TYPE-PRESCRIPTION PREFIXP))
 (156 24 (:TYPE-PRESCRIPTION PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-19))
 (130 65 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (128 16 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (120 20 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (118 20 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (114 38 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (112 92 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (111 2 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (109 109 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (106 106 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (105 15 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-9))
 (99 9 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (98 7 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (92 92 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (83 83 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (80 20 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (77 77 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (77 77 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (76 76 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (76 2 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (75 15 (:TYPE-PRESCRIPTION ABS-PWRITE-CORRECTNESS-LEMMA-7))
 (73 73 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (73 73 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (73 73 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (73 73 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (73 73 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (72 18 (:REWRITE FRAME-P-OF-REMOVE-ASSOC))
 (72 9 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (69 15 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (67 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-55))
 (64 64 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (62 31 (:REWRITE SET-EQUIV-ASYM))
 (61 61 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (59 59 (:TYPE-PRESCRIPTION NAMES-AT))
 (59 59 (:REWRITE FAT32-FILENAME-LIST-P-OF-DIRNAME))
 (58 24 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (58 6 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (56 1 (:REWRITE ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-11))
 (52 9 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (52 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-47 . 2))
 (51 5 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (50 50 (:REWRITE SUBSETP-TRANS))
 (45 9 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (43 43 (:REWRITE SUBSETP-MEMBER . 2))
 (42 42 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (41 41 (:TYPE-PRESCRIPTION STRIP-CARS))
 (40 40 (:REWRITE SUBSETP-MEMBER . 4))
 (40 40 (:REWRITE SUBSETP-MEMBER . 3))
 (40 40 (:REWRITE INTERSECTP-MEMBER . 3))
 (40 40 (:REWRITE INTERSECTP-MEMBER . 2))
 (40 40 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (40 40 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (40 8 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (39 39 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (39 15 (:REWRITE CONSP-OF-STRIP-CARS))
 (39 13 (:REWRITE COMMUTATIVITY-OF-+))
 (39 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (36 36 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (36 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (35 35 (:TYPE-PRESCRIPTION ABS-FILE))
 (35 35 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (35 35 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (35 2 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (34 34 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (31 31 (:TYPE-PRESCRIPTION SET-EQUIV))
 (30 25 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (27 9 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (26 26 (:TYPE-PRESCRIPTION CTX-APP))
 (26 26 (:REWRITE DEFAULT-+-2))
 (26 26 (:REWRITE DEFAULT-+-1))
 (26 2 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (24 24 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (22 22 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-6))
 (22 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (20 20 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (20 20 (:REWRITE SUBSETP-OF-CDR))
 (20 20 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (20 8 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (20 8 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (19 19 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (18 18 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (18 9 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (18 4 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-2))
 (16 16 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (16 2 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (15 15 (:TYPE-PRESCRIPTION FIND-NEW-INDEX-CORRECTNESS-LEMMA-1))
 (15 15 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (14 14 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (14 14 (:REWRITE ABS-FS-P-OF-ABS-ALLOC-1))
 (14 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-17))
 (13 1 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-87))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (12 12 (:REWRITE ABS-FILE-ALIST-P-OF-COLLAPSE))
 (12 3 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (11 8 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (10 10 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (10 10 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (10 2 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (10 2 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (10 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (9 9 (:TYPE-PRESCRIPTION D-E-P))
 (9 9 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (9 9 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (9 9 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (9 9 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (9 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (9 1 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (8 8 (:REWRITE ABS-FS-P-OF-ABS-ALLOC-2))
 (8 2 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (6 6 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (6 6 (:REWRITE ABS-FS-P-OF-COLLAPSE))
 (6 2 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (6 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-4))
 (6 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-1))
 (5 5 (:REWRITE CAR-OF-NTHCDR))
 (5 5 (:REWRITE ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 (5 1 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (4 4 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 1))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (4 4 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (4 4 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (4 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (4 2 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (4 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-10))
 (3 3 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (3 1 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (3 1 (:REWRITE ABS-SEPARATE-OF-REMOVE-ASSOC))
 (3 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (2 2 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (2 2 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FAT32-FILENAME-P-OF-BASENAME))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-14))
 )
(ABS-PWRITE-CORRECTNESS-LEMMA-44
 (1156091 314 (:DEFINITION CTX-APP))
 (1016825 17428 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (901847 2097 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (720577 3459 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (643886 565 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (636874 33 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-56))
 (599678 42701 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (569232 16 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-3))
 (516830 381 (:DEFINITION ABS-PUT-ASSOC-DEFINITION))
 (512839 331 (:DEFINITION HIFAT-FIND-FILE))
 (509728 335 (:REWRITE EQUAL-OF-ABS-FILE))
 (496274 335 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (493192 335 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (491740 17145 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (475122 259 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (411568 1719 (:REWRITE REMOVE-WHEN-ABSENT))
 (375570 1763 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (359928 29 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (320650 90803 (:REWRITE DEFAULT-CDR))
 (296891 1754 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (264455 3159 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (251955 573 (:DEFINITION REMOVE-EQUAL))
 (223654 3953 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (191134 1595 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (178249 1144 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (171130 314 (:REWRITE CONSP-OF-NTHCDR))
 (118958 2531 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (117261 5550 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (102320 99112 (:REWRITE DEFAULT-CAR))
 (87341 2541 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (86796 11 (:REWRITE EQUAL-OF-M1-FILE))
 (70264 67 (:DEFINITION ABS-ALLOC))
 (59769 8118 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (52349 5644 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (50932 8 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-12))
 (49362 9 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-92))
 (47191 5547 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (46920 2346 (:DEFINITION FRAME-ADDRS-ROOT))
 (44763 259 (:REWRITE ABS-ADDRS-OF-CTX-APP-LEMMA-6))
 (38465 22715 (:REWRITE DEFAULT-<-2))
 (35140 5418 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (33956 22715 (:REWRITE DEFAULT-<-1))
 (31784 7876 (:DEFINITION NATP))
 (31293 31293 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (29568 7818 (:DEFINITION NFIX))
 (28264 3014 (:REWRITE ZP-OPEN))
 (27322 13442 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (27015 1865 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (26557 26557 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (24941 1001 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (22568 728 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (19395 18999 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (19335 18999 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (18450 3279 (:DEFINITION STRIP-CARS))
 (18298 331 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-35))
 (18143 18143 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (16893 1323 (:DEFINITION ABS-ASSOC-DEFINITION))
 (16016 728 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (12964 1001 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (12121 1 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-16))
 (11824 959 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (11721 1 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (9578 174 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (9336 5547 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (8931 3561 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (8866 26 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (8598 1505 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (8013 1458 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (7009 7009 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (6684 6684 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (6520 6520 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (6508 42 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (6114 6114 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (6065 15 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (5542 5542 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (5384 20 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-101))
 (5267 157 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (4742 2354 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (4450 1597 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (4444 1597 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (4385 1458 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (3768 628 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (3738 3738 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (3685 335 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (3492 847 (:REWRITE FRAME-P-OF-REMOVE-ASSOC))
 (3466 3466 (:TYPE-PRESCRIPTION CTX-APP))
 (3456 8 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (3367 259 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (3326 3326 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (3280 2876 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (3271 3271 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (3271 3271 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (3114 3114 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (3051 3051 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2876 2876 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (2690 1 (:DEFINITION ABS-SEPARATE))
 (2640 628 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (2616 3 (:DEFINITION DIST-NAMES))
 (2587 941 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2545 215 (:REWRITE M1-FILE-CONTENTS-FIX-WHEN-M1-FILE-CONTENTS-P))
 (2393 2393 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (2371 2371 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (2371 2211 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (2112 2112 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (2076 2076 (:REWRITE SUBSETP-MEMBER . 2))
 (2054 5 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-ABS-PLACE-FILE-HELPER . 3))
 (2040 24 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (1982 991 (:REWRITE SET-EQUIV-ASYM))
 (1845 259 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-17))
 (1795 1795 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (1763 1763 (:REWRITE SUBSETP-MEMBER . 4))
 (1763 1763 (:REWRITE SUBSETP-MEMBER . 3))
 (1763 1763 (:REWRITE INTERSECTP-MEMBER . 3))
 (1763 1763 (:REWRITE INTERSECTP-MEMBER . 2))
 (1742 335 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1675 335 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (1624 24 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-2))
 (1605 1605 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1605 1605 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1605 1605 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1605 1605 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1460 1460 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (1459 1459 (:REWRITE SUBSETP-TRANS))
 (1355 418 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (1136 40 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-1))
 (1119 354 (:REWRITE COMMUTATIVITY-OF-+))
 (1099 1099 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (1095 1095 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (1095 367 (:REWRITE CONSP-OF-STRIP-CARS))
 (1095 1 (:REWRITE CTX-APP-OK-OF-ABS-PLACE-FILE-HELPER-1))
 (1092 1092 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (1079 1079 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (1079 1079 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (1051 1051 (:TYPE-PRESCRIPTION ABS-FILE))
 (1035 345 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (998 862 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (995 26 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (991 991 (:TYPE-PRESCRIPTION SET-EQUIV))
 (942 809 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (939 25 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-55))
 (895 7 (:REWRITE M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (830 4 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-1))
 (773 712 (:REWRITE DEFAULT-+-2))
 (769 712 (:REWRITE DEFAULT-+-1))
 (745 745 (:TYPE-PRESCRIPTION STRIP-CARS))
 (685 8 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (670 335 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (664 664 (:REWRITE ABS-FILE-ALIST-P-OF-COLLAPSE))
 (657 657 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (640 320 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-INSERT-TEXT))
 (628 628 (:REWRITE SUBSETP-OF-CDR))
 (628 628 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (626 1 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-PLACE-FILE-HELPER))
 (588 14 (:LINEAR INSERT-TEXT-CORRECTNESS-3 . 1))
 (535 535 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (418 418 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (402 67 (:REWRITE ABS-ALLOC-WHEN-NOT-NATP))
 (397 123 (:REWRITE ABS-SEPARATE-OF-REMOVE-ASSOC))
 (384 384 (:TYPE-PRESCRIPTION M1-FILE-HIFAT-FILE-ALIST-FIX))
 (348 30 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (345 345 (:TYPE-PRESCRIPTION D-E-P))
 (335 335 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (328 82 (:REWRITE STR::EXPLODE-OF-IMPLODE))
 (314 314 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (301 4 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (298 298 (:TYPE-PRESCRIPTION ABS-PLACE-FILE-HELPER-OF-APPEND-LEMMA-2))
 (280 20 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (252 252 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (248 248 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-HIFAT-FILE-ALIST-FIX))
 (243 8 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (237 135 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (176 176 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (157 157 (:REWRITE CAR-OF-NTHCDR))
 (157 157 (:REWRITE ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 (125 125 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-CORRECTNESS-1 . 2))
 (82 82 (:REWRITE STR::MAKE-CHARACTER-LIST-IS-IDENTITY-UNDER-CHARLISTEQV))
 (82 8 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (76 2 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (72 6 (:REWRITE ABS-FIND-FILE-SRC-CORRECTNESS-1))
 (70 14 (:LINEAR INSERT-TEXT-CORRECTNESS-3 . 2))
 (67 67 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (48 48 (:REWRITE FAT32-FILENAME-LIST-P-OF-FILE-TABLE-ELEMENT->FID))
 (48 2 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-2))
 (40 8 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (32 12 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (31 31 (:TYPE-PRESCRIPTION NATP-OF-ABS-PLACE-FILE-HELPER))
 (29 29 (:TYPE-PRESCRIPTION FRAME-VAL))
 (25 25 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (25 25 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (23 12 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (20 20 (:TYPE-PRESCRIPTION M1-FILE->D-E$INLINE))
 (19 19 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (18 4 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-2))
 (15 15 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (14 14 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (13 13 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (12 12 (:REWRITE NOT-M1-REGULAR-FILE-P-OF-M1-FILE-HIFAT-FILE-ALIST-FIX))
 (12 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-34))
 (12 12 (:REWRITE ABS-FS-P-OF-ABS-PLACE-FILE-HELPER))
 (12 3 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (11 11 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (10 10 (:REWRITE D-E-P-OF-M1-FILE->D-E))
 (10 2 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (9 9 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (8 2 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (7 7 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (6 6 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-7))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 1))
 (4 2 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (3 3 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (3 1 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 2))
 (3 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (1 1 (:TYPE-PRESCRIPTION NULL))
 (1 1 (:REWRITE-QUOTED-CONSTANT TRUE-FIX-UNDER-TRUE-EQUIV))
 (1 1 (:REWRITE SUBSETP-NIL))
 (1 1 (:REWRITE SET-EQUIV-OF-NIL))
 (1 1 (:REWRITE PUT-ASSOC-UNDER-HIFAT-EQUIV-3))
 (1 1 (:REWRITE PUT-ASSOC-UNDER-HIFAT-EQUIV-1))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE HIFAT-EQUIV-OF-PUT-ASSOC-2))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (1 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-14))
 (1 1 (:DEFINITION NULL))
 )
(ABS-PWRITE-CORRECTNESS-1
 (40510844 20924 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (37915844 27061 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (37516812 24329 (:REWRITE EQUAL-OF-ABS-FILE))
 (36591002 24329 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (19910046 376451 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (18899617 171393 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (11703754 242152 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (11117962 549945 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (6746493 112858 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (6476763 6171703 (:REWRITE DEFAULT-CAR))
 (5403238 1110 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (5343696 536 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-34))
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 )
(ABS-OPEN)
(ABS-OPEN-CORRECTNESS-1)
(FAT32-FILENAME-LIST-EQUIV-IMPLIES-EQUAL-ABS-OPEN-1)
(ABS-PREAD
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 (100 40 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
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 (43 43 (:REWRITE DEFAULT-+-1))
 (40 40 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
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 (40 20 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (37 10 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (36 9 (:REWRITE MEMBER-WHEN-ATOM))
 (36 9 (:DEFINITION STRIP-CARS))
 (34 34 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (34 34 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (27 27 (:REWRITE CONSP-OF-STRIP-CARS))
 (24 8 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (20 20 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (20 20 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (20 20 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (18 18 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (18 18 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (18 18 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (18 9 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (18 9 (:REWRITE SET-EQUIV-ASYM))
 (16 16 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (16 16 (:TYPE-PRESCRIPTION D-E-P))
 (16 8 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (16 4 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (14 2 (:DEFINITION ALISTP))
 (12 12 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (12 12 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (12 12 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (12 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (9 9 (:TYPE-PRESCRIPTION SET-EQUIV))
 (9 9 (:REWRITE SUBSETP-OF-CDR))
 (9 9 (:REWRITE SUBSETP-MEMBER . 4))
 (9 9 (:REWRITE SUBSETP-MEMBER . 3))
 (9 9 (:REWRITE SUBSETP-MEMBER . 2))
 (9 9 (:REWRITE SUBSETP-MEMBER . 1))
 (9 9 (:REWRITE INTERSECTP-MEMBER . 3))
 (9 9 (:REWRITE INTERSECTP-MEMBER . 2))
 (8 8 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (8 8 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (8 8 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (8 8 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (8 8 (:REWRITE SET::IN-SET))
 (8 8 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:LINEAR LEN-WHEN-PREFIXP))
 (6 6 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (5 5 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (4 1 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (4 1 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (3 3 (:DEFINITION SUBSEQ-LIST))
 (2 1 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1 1 (:REWRITE SUBSETP-TRANS2))
 (1 1 (:REWRITE SUBSETP-TRANS))
 (1 1 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1 1 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1 1 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1 1 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 )
(ABS-PREAD-CORRECTNESS-1
 (14268 132 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (14036 420 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (13096 208 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (8312 104 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-32))
 (6504 508 (:DEFINITION ASSOC-EQUAL))
 (5856 1444 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (5816 208 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (4880 208 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (4656 152 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (3624 1524 (:REWRITE DEFAULT-CAR))
 (3184 168 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (3120 104 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 1))
 (2072 208 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1840 320 (:REWRITE FD-TABLE-FIX-WHEN-FD-TABLE-P))
 (1656 1656 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (1608 152 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1600 280 (:REWRITE FILE-TABLE-FIX-WHEN-FILE-TABLE-P))
 (1556 968 (:REWRITE DEFAULT-CDR))
 (1536 48 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (1456 1456 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (1456 104 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1408 176 (:DEFINITION LEN))
 (1248 208 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (1136 312 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1120 160 (:REWRITE CONSP-CAR-OF-FD-TABLE-FIX))
 (1116 12 (:DEFINITION NTHCDR))
 (1040 312 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1040 208 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1016 1016 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (980 140 (:REWRITE CONSP-CAR-OF-FILE-TABLE-FIX))
 (912 24 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (832 16 (:DEFINITION TAKE))
 (772 300 (:REWRITE DEFAULT-+-2))
 (730 242 (:REWRITE DEFAULT-<-2))
 (640 120 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (626 154 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (624 624 (:TYPE-PRESCRIPTION FILE-TABLE-ELEMENT->FID$INLINE))
 (608 608 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (608 152 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (528 528 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (520 208 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (516 12 (:REWRITE CONSP-OF-NTHCDR))
 (432 120 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (416 416 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (416 208 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (400 200 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (384 4 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (372 300 (:REWRITE DEFAULT-+-1))
 (312 312 (:TYPE-PRESCRIPTION M1-FILE-P))
 (312 312 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (312 312 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (312 104 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (312 104 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (304 304 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (304 152 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (288 48 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (268 242 (:REWRITE DEFAULT-<-1))
 (264 264 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (256 256 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (256 256 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (256 256 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (248 248 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (236 236 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (236 236 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (208 208 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (208 208 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (208 208 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (200 200 (:TYPE-PRESCRIPTION ABS-FS-P))
 (200 200 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (144 48 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (144 48 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (126 126 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (104 104 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (104 104 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (104 104 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (88 88 (:LINEAR LEN-WHEN-PREFIXP))
 (88 88 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (56 16 (:REWRITE DEFAULT-UNARY-MINUS))
 (48 48 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (48 48 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (48 24 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (28 28 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (16 16 (:REWRITE FOLD-CONSTS-IN-+))
 (12 12 (:REWRITE CAR-OF-NTHCDR))
 (8 8 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (8 4 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (4 4 (:TYPE-PRESCRIPTION LENGTH))
 )
(ABS-PREAD-REFINEMENT
 (1412176 834 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1403276 337 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-231))
 (1024360 110 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (831482 456 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (830271 96 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 1))
 (717120 929 (:LINEAR PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9))
 (653500 189 (:DEFINITION NTHCDR))
 (581023 14154 (:DEFINITION ASSOC-EQUAL))
 (564118 93 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (504642 3004 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-8))
 (447908 8521 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-55))
 (445425 92 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-2))
 (370768 1113 (:LINEAR ABS-MKDIR-CORRECTNESS-LEMMA-233))
 (349672 6016 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-36))
 (329194 378 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (322774 12922 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (268344 11955 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (238966 48619 (:REWRITE DEFAULT-CDR))
 (196233 12292 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (174951 174951 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE))
 (173543 6109 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (148416 46834 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (86448 14413 (:DEFINITION STRIP-CARS))
 (77164 92 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-59))
 (72746 71305 (:REWRITE DEFAULT-CAR))
 (69945 8720 (:DEFINITION LEN))
 (68993 11868 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (56557 2217 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (54426 542 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (53871 53871 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (53180 2227 (:REWRITE ABS-FIND-FILE-SRC-CORRECTNESS-1))
 (38320 23944 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (37151 653 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (36620 97 (:REWRITE CONSP-OF-NTHCDR))
 (35629 5606 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (33490 33490 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (33385 11853 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (33255 2217 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (33205 11853 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (30860 3086 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-1 . 1))
 (30316 148 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (28895 28895 (:TYPE-PRESCRIPTION ABS-FIND-FILE-SRC))
 (28783 121 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (26648 9148 (:REWRITE DEFAULT-+-2))
 (24813 24813 (:TYPE-PRESCRIPTION ABS-FS-P))
 (23944 23944 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (22629 869 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-6))
 (22181 12292 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (19277 11955 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (18724 9362 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-12))
 (17156 17156 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (17156 4289 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (14873 3022 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (14280 1286 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (13904 869 (:REWRITE ABS-SEPARATE-OF-PARTIAL-COLLAPSE))
 (12922 12922 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (12706 6328 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (12540 427 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (12487 6109 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (11853 11853 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (10695 10695 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (10695 10695 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (10695 10695 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (10463 869 (:REWRITE ABS-SEPARATE-OF-FRAME-WITH-ROOT))
 (10100 10100 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (9801 9801 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (9622 2861 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (9220 119 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (9186 9148 (:REWRITE DEFAULT-+-1))
 (8771 148 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (8653 8653 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (8578 8578 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (8077 778 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (7451 6715 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (6328 6328 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (5973 148 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (5822 5822 (:LINEAR LEN-WHEN-PREFIXP))
 (5820 5820 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (5606 5606 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (5560 63 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (4938 1489 (:REWRITE DEFAULT-<-2))
 (4729 462 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (4626 4626 (:REWRITE FAT32-FILENAME-LIST-P-OF-FILE-TABLE-ELEMENT->FID))
 (4474 4474 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (4383 4383 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-PARTIAL-COLLAPSE))
 (4084 1021 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (3546 3546 (:REWRITE FRAME-P-OF-PARTIAL-COLLAPSE))
 (3516 357 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (3389 3389 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (3276 1092 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (3008 778 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (2989 187 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (2918 807 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2244 2244 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (2042 2042 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (1966 93 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1860 372 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-39))
 (1767 186 (:REWRITE LEN-WHEN-PREFIXP))
 (1738 1738 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-6))
 (1656 184 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (1509 1489 (:REWRITE DEFAULT-<-1))
 (1488 93 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1378 120 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1368 1368 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (1204 370 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (1183 208 (:REWRITE FD-TABLE-FIX-WHEN-FD-TABLE-P))
 (1171 778 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (1159 337 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (1126 194 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (1112 556 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-1 . 2))
 (1092 1092 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (1025 467 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1025 467 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (1015 180 (:REWRITE FILE-TABLE-FIX-WHEN-FILE-TABLE-P))
 (928 30 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (925 925 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (920 92 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-65))
 (821 542 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (807 807 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (779 15 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (728 104 (:REWRITE CONSP-CAR-OF-FD-TABLE-FIX))
 (708 357 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (660 30 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (630 90 (:REWRITE CONSP-CAR-OF-FILE-TABLE-FIX))
 (599 135 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (465 465 (:TYPE-PRESCRIPTION PREFIXP))
 (460 92 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (444 444 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (433 90 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (421 421 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (420 15 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (403 90 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (394 394 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (390 390 (:TYPE-PRESCRIPTION NAMES-AT))
 (390 390 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (375 15 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (337 337 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (334 334 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (322 322 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (310 6 (:DEFINITION TAKE))
 (284 284 (:TYPE-PRESCRIPTION STRIP-CARS))
 (238 238 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (232 232 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (232 232 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (200 2 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (195 195 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (189 189 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (184 184 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (184 184 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-6 . 3))
 (167 167 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (165 15 (:REWRITE SUBSETP-CAR-MEMBER))
 (165 15 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (150 24 (:DEFINITION NATP))
 (104 15 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (96 32 (:TYPE-PRESCRIPTION TRUE-LISTP-SUBSEQ-TYPE-PRESCRIPTION))
 (90 90 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (90 90 (:REWRITE SUBSETP-TRANS2))
 (90 90 (:REWRITE SUBSETP-TRANS))
 (90 60 (:REWRITE CONSP-OF-STRIP-CARS))
 (75 15 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (74 37 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-230))
 (70 70 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (60 15 (:REWRITE MEMBER-WHEN-ATOM))
 (49 1 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (45 45 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (39 39 (:TYPE-PRESCRIPTION NATP))
 (35 1 (:REWRITE ABS-MKDIR-GUARD-LEMMA-1))
 (32 32 (:TYPE-PRESCRIPTION STRINGP-SUBSEQ-TYPE-PRESCRIPTION))
 (31 31 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (30 30 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (30 30 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (30 15 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (30 15 (:REWRITE SET-EQUIV-ASYM))
 (29 1 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (28 8 (:REWRITE DEFAULT-UNARY-MINUS))
 (18 1 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (15 15 (:TYPE-PRESCRIPTION SET-EQUIV))
 (15 15 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (15 15 (:REWRITE SUBSETP-OF-CDR))
 (15 15 (:REWRITE SUBSETP-MEMBER . 4))
 (15 15 (:REWRITE SUBSETP-MEMBER . 3))
 (15 15 (:REWRITE SUBSETP-MEMBER . 2))
 (15 15 (:REWRITE SUBSETP-MEMBER . 1))
 (15 15 (:REWRITE INTERSECTP-MEMBER . 3))
 (15 15 (:REWRITE INTERSECTP-MEMBER . 2))
 (15 15 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (15 15 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (15 15 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (15 15 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (15 15 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (11 11 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (10 1 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (8 8 (:REWRITE FOLD-CONSTS-IN-+))
 (7 1 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (5 1 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (4 4 (:REWRITE CAR-OF-NTHCDR))
 (4 2 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (1 1 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (1 1 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE))
 (1 1 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE))
 )
(ABS-CLOSE)
(ABS-PLACE-FILE-HELPER-OF-APPEND-LEMMA-1
 (571 47 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (571 3 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (553 16 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (463 3 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (401 16 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (349 7 (:DEFINITION UNSIGNED-BYTE-P))
 (342 7 (:DEFINITION INTEGER-RANGE-P))
 (287 16 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (258 22 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (256 4 (:REWRITE M1-FILE-P-OF-ABS-FILE))
 (250 1 (:REWRITE ABS-NO-DUPS-FILE-FIX-WHEN-ABS-NO-DUPS-FILE-P))
 (222 2 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (182 3 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (169 169 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (162 16 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (162 11 (:REWRITE LENGTH-WHEN-STRINGP))
 (159 68 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (131 10 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (129 2 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (120 2 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (118 54 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (114 38 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (113 113 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (112 34 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (110 2 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (109 11 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (94 12 (:DEFINITION LEN))
 (94 6 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (92 4 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (75 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (68 68 (:TYPE-PRESCRIPTION LEN))
 (59 47 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (58 58 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (58 18 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (56 16 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (54 54 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (53 4 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (50 11 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (45 3 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (44 44 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (40 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (38 38 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (38 38 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (37 7 (:REWRITE DEFAULT-<-1))
 (36 12 (:REWRITE DEFAULT-+-2))
 (29 1 (:REWRITE ABS-DIRECTORY-FILE-P-OF-ABS-FILE))
 (26 11 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (24 24 (:TYPE-PRESCRIPTION ABS-FS-P))
 (24 2 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (23 1 (:DEFINITION LENGTH))
 (22 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (21 14 (:REWRITE DEFAULT-CDR))
 (16 2 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (15 11 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (14 14 (:TYPE-PRESCRIPTION M1-FILE-P))
 (12 12 (:REWRITE DEFAULT-+-1))
 (12 12 (:LINEAR LEN-WHEN-PREFIXP))
 (12 12 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (11 11 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (11 11 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (9 2 (:REWRITE DEFAULT-CAR))
 (8 8 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (7 7 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (7 7 (:REWRITE DEFAULT-<-2))
 (7 3 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (3 1 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 )
(ABS-PLACE-FILE-HELPER-OF-APPEND-1
 (602442 20774 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (476404 5918 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (388586 24397 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (359919 8136 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (283839 11672 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (270114 7536 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (235019 670 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-2))
 (192410 686 (:REWRITE EQUAL-OF-ABS-FILE))
 (164643 2336 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (148769 1382 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (140449 6077 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (129743 6549 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (121810 28476 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (117443 3041 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (112519 4983 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (109915 7388 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (87685 840 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-ABS-PLACE-FILE-HELPER . 3))
 (78125 1829 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (69530 1209 (:REWRITE M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (56957 1165 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (55498 20842 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (54628 266 (:REWRITE M1-FILE-P-OF-ABS-FILE))
 (51194 3547 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (47410 4979 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (43562 274 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (42281 850 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (40561 58 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (38715 38715 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (36422 2868 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-52))
 (33281 19951 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (32075 7536 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (32054 57 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (28329 118 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (27034 846 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (23240 5768 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (22970 22856 (:REWRITE DEFAULT-CAR))
 (20842 20842 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (20514 1054 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (19782 720 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (18924 3304 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (18460 18460 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (16571 6242 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (16349 1829 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (15148 3213 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (14780 14780 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (14346 14346 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (12923 12923 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-FIX))
 (12596 1406 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (12484 428 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (10849 3484 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (7630 545 (:REWRITE ZP-OPEN))
 (7289 1562 (:REWRITE ABS-NO-DUPS-FILE-FIX-WHEN-ABS-NO-DUPS-FILE-P))
 (7226 382 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (7101 1580 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (6462 1077 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (6242 6242 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (5312 5312 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (5026 2513 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (4893 507 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (4552 764 (:DEFINITION LEN))
 (3680 3680 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (3358 3358 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (3264 3264 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (3138 3138 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (3138 3138 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (2926 2926 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (2918 2918 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2802 2802 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2796 2796 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2464 2464 (:TYPE-PRESCRIPTION ABS-FILE))
 (2429 40 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (2292 382 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (2260 764 (:REWRITE DEFAULT-+-2))
 (2213 2213 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (2213 2213 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (2210 1105 (:REWRITE DEFAULT-<-2))
 (2090 2090 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-11))
 (2058 686 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (1829 1829 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (1619 849 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (1501 1501 (:REWRITE ABS-NO-DUPS-FILE-P-OF-ABS-NO-DUPS-FILE-FIX))
 (1459 1459 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1352 269 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (1231 1231 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (1231 1231 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (1163 1163 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (1163 1163 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (1163 1163 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (1163 1163 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (1163 1163 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (1133 103 (:REWRITE ABS-FILE->CONTENTS-OF-ABS-FILE))
 (1105 1105 (:REWRITE DEFAULT-<-1))
 (832 416 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (814 16 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-222))
 (790 124 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-10))
 (772 772 (:TYPE-PRESCRIPTION D-E-P))
 (764 764 (:REWRITE DEFAULT-+-1))
 (686 686 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (684 684 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (626 626 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-NO-DUPS-FILE-FIX))
 (579 18 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (518 518 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (498 498 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (460 23 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (444 37 (:REWRITE ABS-DIRECTORY-FILE-P-OF-ABS-FILE))
 (439 439 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (428 428 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (390 390 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 (382 382 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (382 382 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (382 382 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (380 380 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (355 24 (:DEFINITION TRUE-LISTP))
 (296 296 (:TYPE-PRESCRIPTION ABS-FILE->D-E$INLINE))
 (294 4 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE->CONTENTS-OF-HIFAT-FIND-FILE-LEMMA-1))
 (280 280 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (258 43 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (252 252 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (252 63 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (230 230 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-OF-APPEND-LEMMA-1))
 (230 230 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-CORRECTNESS-1 . 2))
 (207 207 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-79))
 (143 143 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (129 43 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (106 106 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE->CONTENTS-OF-HIFAT-FIND-FILE))
 (86 86 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (86 43 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (46 46 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (46 46 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (43 43 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (43 43 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (43 43 (:REWRITE SET::IN-SET))
 (40 40 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (23 23 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-1))
 (13 13 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-3))
 (11 11 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (8 8 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-56
 (1041 20 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (804 25 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (578 24 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (526 94 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (482 20 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (327 29 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (324 40 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (282 30 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (266 266 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (266 32 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (262 24 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (254 254 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (212 16 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (210 14 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (196 14 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (182 140 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (167 5 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (148 52 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (146 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (140 140 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (138 48 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (136 94 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (124 30 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (120 46 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (112 14 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (109 4 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (98 14 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (96 4 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-2))
 (94 30 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (90 90 (:TYPE-PRESCRIPTION ABS-FS-P))
 (74 74 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (60 60 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (56 4 (:REWRITE ZP-OPEN))
 (48 48 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (46 46 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (42 42 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (40 40 (:TYPE-PRESCRIPTION NATP-OF-ABS-PLACE-FILE-HELPER))
 (38 8 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (32 32 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (32 32 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (28 28 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (28 14 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (23 23 (:TYPE-PRESCRIPTION M1-FILE-P))
 (22 11 (:REWRITE DEFAULT-<-2))
 (18 12 (:REWRITE DEFAULT-CDR))
 (14 14 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (14 14 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (13 5 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (11 11 (:REWRITE DEFAULT-<-1))
 (8 8 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (8 8 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (8 8 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-11))
 (8 4 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8 2 (:REWRITE DEFAULT-CAR))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (4 4 (:TYPE-PRESCRIPTION ZP))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-20
 (58020 2142 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (52817 1181 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (41473 601 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (40069 1345 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (37824 2667 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (35187 1366 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (21226 719 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (19119 393 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (16912 85 (:REWRITE EQUAL-OF-ABS-FILE))
 (14906 682 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (14240 419 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (12624 445 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (12272 175 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (9388 108 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-ABS-PLACE-FILE-HELPER . 3))
 (8578 330 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (7993 164 (:DEFINITION PUT-ASSOC-EQUAL))
 (7722 761 (:DEFINITION ASSOC-EQUAL))
 (6192 697 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (5604 188 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (5332 869 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (5249 487 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (5211 629 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (5067 851 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4424 10 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-11))
 (3616 3616 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (3210 719 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (3069 3069 (:REWRITE DEFAULT-CAR))
 (2952 81 (:REWRITE M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (2853 1878 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2672 272 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-52))
 (2400 628 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2123 2123 (:REWRITE DEFAULT-CDR))
 (2010 775 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1998 39 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (1920 1920 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1856 1856 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1853 282 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (1819 269 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (1603 308 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (1580 316 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (930 155 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (813 224 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (775 775 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (770 16 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (720 82 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (585 175 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (577 577 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (480 70 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (452 40 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (448 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-222))
 (438 219 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (435 435 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (429 119 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (372 3 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (347 347 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (347 347 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (347 347 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (316 316 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (310 310 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (308 308 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (295 158 (:REWRITE DEFAULT-<-2))
 (291 23 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (271 271 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (271 271 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (255 85 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (240 12 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (218 218 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (218 218 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (209 6 (:REWRITE ABS-ADDRS-OF-CTX-APP-1-LEMMA-5))
 (200 200 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (195 39 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (187 36 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (176 16 (:REWRITE SUBSETP-CAR-MEMBER))
 (158 158 (:REWRITE DEFAULT-<-1))
 (155 155 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (144 32 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (144 16 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (139 139 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (139 139 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (139 139 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (139 139 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (139 139 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (128 16 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX))
 (127 127 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (127 127 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (120 120 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-OF-APPEND-LEMMA-1))
 (120 120 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-CORRECTNESS-1 . 2))
 (112 16 (:DEFINITION NATP))
 (106 106 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-FIX))
 (85 85 (:TYPE-PRESCRIPTION D-E-P))
 (85 85 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (66 66 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (64 16 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (54 3 (:REWRITE M1-FILE-P-OF-ABS-FILE))
 (39 39 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (32 32 (:TYPE-PRESCRIPTION NATP))
 (32 16 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (27 1 (:REWRITE ABS-ADDRS-WHEN-ABSFAT-EQUIV-LEMMA-1))
 (24 24 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (24 24 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (24 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-18))
 (21 21 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (20 20 (:REWRITE INTERSECTP-MEMBER . 1))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (16 16 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (16 16 (:REWRITE SUBSETP-OF-CDR))
 (16 16 (:REWRITE SUBSETP-MEMBER . 4))
 (16 16 (:REWRITE SUBSETP-MEMBER . 3))
 (16 16 (:REWRITE SUBSETP-MEMBER . 2))
 (16 16 (:REWRITE SUBSETP-MEMBER . 1))
 (16 16 (:REWRITE MEMBER-WHEN-ATOM))
 (16 16 (:REWRITE INTERSECTP-MEMBER . 3))
 (16 16 (:REWRITE INTERSECTP-MEMBER . 2))
 (16 2 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (14 14 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (14 14 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 3))
 (14 14 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-79))
 (12 12 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-1))
 (12 1 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (10 10 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (10 10 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 (10 4 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (10 2 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (8 2 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (2 2 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (1 1 (:REWRITE ABSFAT-EQUIV-OF-CTX-APP-LEMMA-1))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-22
 (37 5 (:DEFINITION ASSOC-EQUAL))
 (29 27 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (15 15 (:REWRITE DEFAULT-CAR))
 (10 10 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (8 8 (:REWRITE DEFAULT-CDR))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-23
 (100 2 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (85 1 (:REWRITE DIST-NAMES-OF-CTX-APP))
 (83 2 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (81 1 (:REWRITE ABS-FS-P-OF-CTX-APP))
 (52 2 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (39 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (35 5 (:DEFINITION ASSOC-EQUAL))
 (30 10 (:REWRITE DEFAULT-CDR))
 (29 2 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (29 1 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (27 27 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (24 8 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (24 1 (:REWRITE ABS-SEPARATE-CORRECTNESS-1-LEMMA-15))
 (22 5 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (22 1 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (20 2 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (19 1 (:REWRITE ABS-SEPARATE-CORRECTNESS-LEMMA-6))
 (15 15 (:REWRITE DEFAULT-CAR))
 (12 12 (:TYPE-PRESCRIPTION NAMES-AT))
 (12 4 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (11 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (11 2 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (10 10 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (10 10 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (10 10 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (10 2 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (10 2 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (8 8 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (8 2 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (8 1 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (7 7 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (6 2 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (6 2 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (6 2 (:DEFINITION NATP))
 (5 5 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (5 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (5 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (5 1 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 2))
 (4 4 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (4 4 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (4 4 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (4 2 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (3 1 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (3 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (3 1 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (2 2 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (2 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (2 1 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1 1 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 1))
 (1 1 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-24
 (11018 4 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (10761 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (8286 33 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (7591 135 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (6024 102 (:REWRITE LEN-WHEN-PREFIXP))
 (5770 137 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (5006 100 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (4660 102 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (3934 16 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (3617 104 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (3499 143 (:DEFINITION LEN))
 (3427 317 (:REWRITE DEFAULT-CDR))
 (2681 102 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1516 90 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1404 104 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (952 6 (:REWRITE CONSP-OF-NTHCDR))
 (771 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (668 113 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (549 36 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (490 18 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (490 15 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (489 147 (:REWRITE DEFAULT-+-2))
 (480 118 (:REWRITE DEFAULT-<-2))
 (462 135 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (445 118 (:REWRITE DEFAULT-<-1))
 (400 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (392 4 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (384 384 (:TYPE-PRESCRIPTION PREFIXP))
 (370 18 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (362 182 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (360 6 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (354 354 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (338 19 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (328 100 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (328 100 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (306 1 (:REWRITE CTX-APP-OK-OF-CTX-APP-LIST-SEQ-LEMMA-1))
 (304 304 (:LINEAR LEN-WHEN-PREFIXP))
 (304 304 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (290 1 (:REWRITE VALID-SEQP-WHEN-PREFIXP))
 (268 7 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (266 72 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (264 59 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (256 4 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (246 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (241 213 (:REWRITE DEFAULT-CAR))
 (235 10 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (219 8 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (210 210 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (209 1 (:REWRITE ABS-FS-P-OF-CTX-APP))
 (206 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (204 2 (:REWRITE LEN-OF-NTHCDR))
 (202 28 (:REWRITE NFIX-WHEN-NATP))
 (197 5 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (185 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (168 4 (:DEFINITION TRUE-LISTP))
 (162 15 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (155 147 (:REWRITE DEFAULT-+-1))
 (150 150 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (135 135 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (135 135 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (132 132 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (132 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (122 4 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (118 7 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (113 18 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (112 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (110 8 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (106 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (102 102 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (102 102 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (102 102 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (102 102 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (94 6 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (90 90 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (85 35 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (85 5 (:DEFINITION NATP))
 (85 1 (:DEFINITION NTHCDR))
 (73 26 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (72 72 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (72 4 (:REWRITE ABS-ADDRS-OF-CTX-APP-2))
 (71 15 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (71 4 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (70 4 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (70 2 (:DEFINITION NFIX))
 (69 69 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (69 26 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (65 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (52 52 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (50 18 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (47 47 (:TYPE-PRESCRIPTION STRIP-CARS))
 (46 4 (:DEFINITION STRIP-CARS))
 (46 2 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (43 43 (:TYPE-PRESCRIPTION CTX-APP))
 (43 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (42 8 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (41 10 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (40 4 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (38 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (37 25 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (37 7 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (34 14 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (33 33 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (32 32 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (32 16 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (31 9 (:REWRITE CONSP-OF-STRIP-CARS))
 (30 30 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (30 30 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (30 30 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (30 1 (:DEFINITION PUT-ASSOC-EQUAL))
 (29 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (29 1 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (28 28 (:REWRITE SUBSETP-TRANS2))
 (28 28 (:REWRITE SUBSETP-TRANS))
 (26 26 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (26 4 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (23 23 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (23 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (22 22 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (20 20 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (20 20 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (20 8 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (19 19 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (19 19 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (19 19 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (19 19 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (18 18 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (16 16 (:TYPE-PRESCRIPTION ABS-FS-P))
 (16 8 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (16 8 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (15 1 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (14 14 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (13 13 (:TYPE-PRESCRIPTION NATP))
 (13 2 (:TYPE-PRESCRIPTION FINAL-VAL-SEQ-OF-COLLAPSE-THIS-LEMMA-7))
 (12 12 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (12 12 (:TYPE-PRESCRIPTION NAMES-AT))
 (12 12 (:TYPE-PRESCRIPTION D-E-P))
 (12 6 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (12 4 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (10 10 (:TYPE-PRESCRIPTION NFIX))
 (10 10 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (10 5 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (10 4 (:REWRITE MEMBER-WHEN-ATOM))
 (10 2 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (10 2 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (10 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (10 2 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (9 9 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (9 9 (:REWRITE CONSP-OF-LIST-FIX))
 (9 5 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (9 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (8 8 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (8 8 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (8 8 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (8 4 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (8 4 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (8 1 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (7 7 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (7 4 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (6 6 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (6 6 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (6 6 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (6 6 (:REWRITE SET::IN-SET))
 (5 2 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (5 1 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 2))
 (4 4 (:TYPE-PRESCRIPTION SET-EQUIV))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION DIST-NAMES))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (4 4 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE SUBSETP-MEMBER . 4))
 (4 4 (:REWRITE SUBSETP-MEMBER . 3))
 (4 4 (:REWRITE SUBSETP-MEMBER . 2))
 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (4 4 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (4 4 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (4 4 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (4 4 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (4 4 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (4 4 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (4 2 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-6))
 (4 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (3 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 1))
 (3 1 (:REWRITE COMMUTATIVITY-OF-+))
 (2 2 (:TYPE-PRESCRIPTION VALID-SEQP))
 (2 2 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (2 2 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (2 2 (:REWRITE SUBSETP-REFL))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 2 (:REWRITE CAR-OF-NTHCDR))
 (2 2 (:REWRITE ABS-TOP-ADDRS-OF-ABS-FS-FIX))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (1 1 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (1 1 (:TYPE-PRESCRIPTION FRAME-VAL))
 (1 1 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 1))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-11
 (188 10 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (140 3 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (112 14 (:DEFINITION ASSOC-EQUAL))
 (86 42 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (74 4 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (57 57 (:REWRITE DEFAULT-CAR))
 (55 2 (:DEFINITION PUT-ASSOC-EQUAL))
 (42 42 (:TYPE-PRESCRIPTION FRAME-P))
 (38 38 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (24 24 (:REWRITE DEFAULT-CDR))
 (17 17 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (13 13 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (13 13 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (13 13 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (9 9 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (9 1 (:REWRITE ASSOC-AFTER-REMOVE-ASSOC))
 (9 1 (:REWRITE ASSOC-AFTER-PUT-ASSOC))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13
 (1098 549 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (217 191 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (100 100 (:REWRITE DEFAULT-CAR))
 (56 2 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (31 31 (:REWRITE DEFAULT-CDR))
 (30 2 (:DEFINITION TRUE-LISTP))
 (25 25 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (24 4 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (21 21 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (21 21 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (21 21 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (21 21 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (13 13 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (13 13 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (12 4 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (10 10 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (8 8 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (8 8 (:TYPE-PRESCRIPTION D-E-P))
 (8 4 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (4 4 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (4 4 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE SET::IN-SET))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-15
 (216 108 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (74 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (64 1 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (34 6 (:REWRITE DEFAULT-CDR))
 (23 4 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (21 3 (:DEFINITION ASSOC-EQUAL))
 (21 2 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (20 1 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (15 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (14 1 (:REWRITE ZP-OPEN))
 (13 1 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (12 2 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (11 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (10 10 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-CORRECTNESS-1 . 2))
 (10 2 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (9 9 (:REWRITE DEFAULT-CAR))
 (8 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (6 6 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (6 6 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (6 6 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (4 4 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (4 2 (:REWRITE DEFAULT-<-2))
 (4 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (3 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3 1 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (2 2 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2 2 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (2 1 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1 1 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (1 1 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-16)
(1ST-COMPLETE-OF-PUT-ASSOC-4
 (839 66 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (565 146 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (474 237 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (460 66 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (440 3 (:REWRITE COLLAPSE-CONGRUENCE-LEMMA-2))
 (398 9 (:REWRITE NFIX-WHEN-NATP))
 (259 40 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (219 99 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (210 2 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 1))
 (198 179 (:REWRITE DEFAULT-CAR))
 (194 2 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 2))
 (184 128 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (156 10 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (95 68 (:REWRITE DEFAULT-CDR))
 (92 15 (:LINEAR 1ST-COMPLETE-OF-PUT-ASSOC-1))
 (82 82 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (80 80 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (80 40 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (78 14 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (78 7 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (78 7 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (78 7 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (70 9 (:DEFINITION NATP))
 (56 7 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (48 43 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (42 7 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (28 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (24 3 (:REWRITE FRAME-P-OF-PUT-ASSOC))
 (24 3 (:REWRITE FILE-TABLE-P-OF-PUT-ASSOC))
 (24 3 (:REWRITE FD-TABLE-P-OF-PUT-ASSOC))
 (24 3 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-2))
 (22 22 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (22 22 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (21 21 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (18 18 (:REWRITE DEFAULT-<-2))
 (18 18 (:REWRITE DEFAULT-<-1))
 (16 16 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (16 3 (:REWRITE DIR-STREAM-TABLE-P-OF-PUT-ASSOC))
 (14 11 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (14 11 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (14 11 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (12 4 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (10 10 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (9 9 (:TYPE-PRESCRIPTION NATP))
 (7 7 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (7 7 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (7 7 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (6 1 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (6 1 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (4 4 (:TYPE-PRESCRIPTION ABSFAT-EQUIV))
 (4 4 (:TYPE-PRESCRIPTION ABS-FS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (4 4 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (4 4 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (4 1 (:REWRITE DIR-STREAM-TABLE-P-OF-CDR-WHEN-DIR-STREAM-TABLE-P))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-21
 (1480 740 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (300 44 (:REWRITE DEFAULT-CDR))
 (216 38 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (158 16 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (156 29 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (154 22 (:DEFINITION ASSOC-EQUAL))
 (131 31 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (128 12 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (127 8 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (115 25 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (99 29 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (72 18 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (72 4 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (68 4 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (66 66 (:REWRITE DEFAULT-CAR))
 (61 61 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (60 60 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (57 27 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (56 4 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (54 54 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (52 16 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (51 29 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (45 13 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (44 44 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (40 40 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (40 4 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-11))
 (38 13 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (36 36 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (27 9 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (24 12 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (24 12 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (24 4 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (23 23 (:DEFINITION MV-NTH))
 (20 4 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (18 18 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (18 18 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (18 18 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (18 18 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (18 18 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (17 8 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (15 3 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (12 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (12 3 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (8 8 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (8 4 (:REWRITE DEFAULT-<-2))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (6 6 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (6 6 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (6 6 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (6 5 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (6 3 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (4 4 (:REWRITE DEFAULT-<-1))
 (4 4 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (4 4 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 (3 1 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-2))
 (2 2 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (2 2 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (2 1 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-ABS-PLACE-FILE-HELPER . 3))
 (2 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-20))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-25
 (4317 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (3949 23 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (3508 83 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (3286 58 (:REWRITE LEN-WHEN-PREFIXP))
 (2531 83 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (2507 52 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (2382 52 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (1913 52 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1888 252 (:REWRITE DEFAULT-CDR))
 (1800 8 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (1789 86 (:DEFINITION LEN))
 (1654 6 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (1587 58 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (868 59 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (720 52 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (501 4 (:REWRITE CONSP-OF-NTHCDR))
 (324 234 (:REWRITE DEFAULT-CAR))
 (276 91 (:REWRITE DEFAULT-+-2))
 (271 83 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (271 77 (:REWRITE DEFAULT-<-2))
 (250 50 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (231 77 (:REWRITE DEFAULT-<-1))
 (210 210 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (206 206 (:TYPE-PRESCRIPTION PREFIXP))
 (183 105 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (180 180 (:LINEAR LEN-WHEN-PREFIXP))
 (180 180 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (162 52 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (162 52 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (122 18 (:REWRITE NFIX-WHEN-NATP))
 (112 1 (:REWRITE LEN-OF-NTHCDR))
 (106 4 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (94 91 (:REWRITE DEFAULT-+-1))
 (88 88 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (83 83 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (83 83 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (82 82 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (79 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (66 34 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (59 4 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (58 5 (:DEFINITION NATP))
 (52 52 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (52 52 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (52 52 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (52 52 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (50 9 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (48 48 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (48 16 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (45 11 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (41 11 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (41 4 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (41 3 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (27 1 (:DEFINITION NFIX))
 (25 25 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (23 23 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (22 8 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (22 4 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (20 14 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (16 16 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (16 8 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (12 4 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (12 4 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (11 11 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (11 11 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (11 11 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (11 11 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (11 11 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (10 4 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (9 9 (:REWRITE SUBSETP-TRANS2))
 (9 9 (:REWRITE SUBSETP-TRANS))
 (8 8 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (8 8 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (8 4 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (7 2 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (6 4 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (6 2 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (6 2 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (5 5 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 2 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (4 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (4 1 (:REWRITE DEFAULT-UNARY-MINUS))
 (3 3 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (2 2 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (2 1 (:REWRITE SET-EQUIV-ASYM))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:REWRITE SUBSETP-REFL))
 (1 1 (:REWRITE SUBSETP-OF-CDR))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (1 1 (:REWRITE CAR-OF-NTHCDR))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-26
 (690 323 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (381 16 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (367 41 (:DEFINITION ASSOC-EQUAL))
 (303 3 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (264 3 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (256 13 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (240 4 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (226 8 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (165 8 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (163 158 (:REWRITE DEFAULT-CAR))
 (145 82 (:REWRITE DEFAULT-CDR))
 (125 8 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (120 32 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (104 104 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (102 102 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (100 4 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (93 8 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (90 90 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (78 27 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (44 16 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (44 8 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (40 4 (:REWRITE ASSOC-AFTER-REMOVE-ASSOC))
 (32 32 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (27 27 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (27 27 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (27 27 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (27 27 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (26 3 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-2))
 (25 25 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (20 8 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (18 6 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (14 14 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (14 14 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (14 1 (:REWRITE ZP-OPEN))
 (12 4 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (12 4 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (10 10 (:TYPE-PRESCRIPTION NATP-OF-ABS-PLACE-FILE-HELPER))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (8 4 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (8 4 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (8 4 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (8 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (7 2 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (6 6 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (6 6 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (6 3 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (6 3 (:REWRITE DEFAULT-<-2))
 (4 4 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (4 4 (:TYPE-PRESCRIPTION ABS-FS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (4 1 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (3 3 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (3 3 (:REWRITE DEFAULT-<-1))
 (3 3 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (3 3 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (3 3 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (2 2 (:TYPE-PRESCRIPTION FRAME-VAL))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-28
 (41646 1271 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (37819 409 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (36745 585 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (36415 1305 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (29731 74 (:REWRITE EQUAL-OF-ABS-FILE))
 (29161 864 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (27987 74 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (24188 874 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (21289 673 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-52))
 (20670 454 (:REWRITE LEN-WHEN-PREFIXP))
 (17379 1573 (:DEFINITION ASSOC-EQUAL))
 (15102 148 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-20))
 (14376 910 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (12737 358 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (12062 1334 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (10591 1411 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (10357 165 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (10091 1397 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (9407 593 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (9300 174 (:DEFINITION PUT-ASSOC-EQUAL))
 (9290 100 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-222))
 (8574 5897 (:REWRITE DEFAULT-CDR))
 (8139 23 (:LINEAR LEN-OF-MEMBER))
 (7792 138 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (7743 795 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (7524 912 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (7338 936 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (6927 18 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (6784 21 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-23 . 3))
 (6459 454 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (6398 6398 (:REWRITE DEFAULT-CAR))
 (6298 6298 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (5747 3494 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (5659 454 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (5642 1271 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (5034 470 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (4904 148 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-ABS-PLACE-FILE-HELPER . 3))
 (4817 1638 (:REWRITE DEFAULT-+-2))
 (4754 70 (:REWRITE ABS-ADDRS-OF-CTX-APP-LEMMA-6))
 (4701 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-11))
 (4333 1201 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4043 1515 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (3883 473 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (3789 669 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (3732 70 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (3618 759 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (3540 3540 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (3514 908 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (3494 3494 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (3248 593 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (3220 415 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (3075 615 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (2894 2894 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2653 74 (:REWRITE M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (2504 2504 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2503 2503 (:TYPE-PRESCRIPTION PREFIXP))
 (2138 830 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (2046 341 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1952 834 (:REWRITE DEFAULT-<-2))
 (1848 375 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (1803 1515 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1741 230 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (1733 834 (:REWRITE DEFAULT-<-1))
 (1727 322 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (1638 1638 (:REWRITE DEFAULT-+-1))
 (1628 1628 (:TYPE-PRESCRIPTION ABS-PLACE-FILE-HELPER-OF-APPEND-LEMMA-2))
 (1577 1577 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-FIX))
 (1518 138 (:REWRITE SUBSETP-CAR-MEMBER))
 (1501 309 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1470 1470 (:LINEAR LEN-WHEN-PREFIXP))
 (1308 1308 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (1304 475 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (1260 1252 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1203 265 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (1129 445 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (1060 1060 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (958 218 (:REWRITE ABS-NO-DUPS-FILE-FIX-WHEN-ABS-NO-DUPS-FILE-P))
 (916 910 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (916 470 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (910 910 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (910 910 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (910 910 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (910 910 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (910 910 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (868 62 (:REWRITE ZP-OPEN))
 (830 830 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (830 830 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (759 759 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (730 730 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (725 725 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (670 670 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (646 646 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (630 630 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (630 630 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (615 615 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (601 597 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (525 525 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (523 523 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (523 523 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (407 146 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (404 78 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (308 68 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX))
 (276 138 (:REWRITE SET-EQUIV-ASYM))
 (234 33 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (222 222 (:TYPE-PRESCRIPTION ABS-FILE))
 (222 74 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (221 221 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (221 221 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (215 5 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (206 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-10))
 (200 10 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (192 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (184 184 (:REWRITE ABS-NO-DUPS-FILE-P-OF-ABS-NO-DUPS-FILE-FIX))
 (178 178 (:REWRITE SUBSETP-MEMBER . 4))
 (178 178 (:REWRITE INTERSECTP-MEMBER . 3))
 (178 178 (:REWRITE INTERSECTP-MEMBER . 2))
 (165 165 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (159 159 (:REWRITE SUBSETP-MEMBER . 2))
 (155 31 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (148 148 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (139 139 (:TYPE-PRESCRIPTION SET-EQUIV))
 (138 138 (:REWRITE SUBSETP-OF-CDR))
 (128 128 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (128 128 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (128 128 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (128 128 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (128 128 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (120 120 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (120 120 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (112 31 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (112 31 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (111 29 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (103 47 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (100 100 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-CORRECTNESS-1 . 2))
 (100 100 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (78 78 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-79))
 (74 74 (:TYPE-PRESCRIPTION D-E-P))
 (74 74 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (63 63 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (59 59 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-NO-DUPS-FILE-FIX))
 (47 47 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (38 38 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (32 32 (:REWRITE SUBSETP-TRANS2))
 (32 32 (:REWRITE SUBSETP-TRANS))
 (21 21 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (21 2 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (20 20 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (20 20 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (17 17 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (13 1 (:REWRITE ABS-ADDRS-WHEN-ABSFAT-EQUIV-LEMMA-1))
 (12 12 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (6 6 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (6 2 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:DEFINITION ATOM))
 (4 2 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 1 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (3 3 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (3 3 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 (2 2 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (2 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (2 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (2 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (1 1 (:REWRITE ABSFAT-EQUIV-OF-CTX-APP-LEMMA-1))
 (1 1 (:REWRITE ABS-TOP-ADDRS-OF-ABS-FS-FIX))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-29
 (273 3 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (271 11 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (252 11 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (198 11 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (183 3 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (133 18 (:REWRITE DEFAULT-CDR))
 (106 11 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (86 86 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (69 9 (:DEFINITION ASSOC-EQUAL))
 (57 24 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (56 21 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (56 11 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (36 11 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (34 34 (:TYPE-PRESCRIPTION FRAME-P))
 (27 27 (:REWRITE DEFAULT-CAR))
 (26 11 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (26 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (22 22 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (22 1 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (18 18 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (18 18 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (18 6 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (18 1 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (17 2 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (17 1 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (15 5 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (14 1 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (12 7 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (12 3 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (12 2 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (10 10 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (10 10 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (10 10 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (10 5 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (10 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-11))
 (9 4 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (8 8 (:TYPE-PRESCRIPTION ABS-FS-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (8 8 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (8 8 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (8 8 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (8 8 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (7 7 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (6 6 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (6 3 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (6 3 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (6 1 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (5 5 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (5 5 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (5 3 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (5 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (5 1 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (3 1 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (2 2 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (2 2 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (2 1 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (2 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1 1 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (1 1 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-30
 (142 71 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (96 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (68 34 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (68 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (62 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (46 1 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (43 4 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (40 7 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (37 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (33 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (29 4 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (28 8 (:REWRITE DEFAULT-CDR))
 (22 22 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (22 2 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (19 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (18 6 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (16 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (16 1 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (15 9 (:REWRITE DEFAULT-CAR))
 (14 2 (:DEFINITION NATP))
 (13 7 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (13 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (12 7 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (12 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (12 1 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (10 2 (:DEFINITION STRIP-CARS))
 (8 8 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (8 2 (:REWRITE MEMBER-WHEN-ATOM))
 (8 1 (:REWRITE CTX-APP-OK-OF-CTX-APP-LIST-SEQ-LEMMA-1))
 (7 7 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (7 1 (:DEFINITION ASSOC-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION ABS-FS-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (6 1 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (5 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (4 2 (:TYPE-PRESCRIPTION FINAL-VAL-SEQ-OF-COLLAPSE-THIS-LEMMA-7))
 (4 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (4 2 (:REWRITE SET-EQUIV-ASYM))
 (4 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (4 1 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (3 3 (:REWRITE DEFAULT-<-2))
 (3 3 (:REWRITE DEFAULT-<-1))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (3 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 1))
 (2 2 (:TYPE-PRESCRIPTION VALID-SEQP))
 (2 2 (:TYPE-PRESCRIPTION SET-EQUIV))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2 2 (:REWRITE SUBSETP-OF-CDR))
 (2 2 (:REWRITE SUBSETP-MEMBER . 4))
 (2 2 (:REWRITE SUBSETP-MEMBER . 3))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 3))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 2 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (2 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1 1 (:REWRITE VALID-SEQP-WHEN-PREFIXP))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 )
(INDUCTION-SCHEME
 (3 3 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 )
(ABS-PLACE-FILE-HELPER-OF-CTX-APP-4
 (363690 38596 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (286841 65109 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (275616 274470 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (248810 101 (:REWRITE CTX-APP-OK-OF-ABS-PLACE-FILE-HELPER-1))
 (197052 31100 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (161857 41920 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (137375 38095 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (125852 124344 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (124943 53562 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (121511 46655 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (119937 119937 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (109799 36085 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (105681 16264 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (90345 10616 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (72360 71850 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (65919 606 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (56154 153 (:REWRITE ADDRS-AT-OF-PUT-ASSOC))
 (54974 6916 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (51553 12959 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (51553 12959 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (47031 47031 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (45829 8846 (:REWRITE MEMBER-WHEN-ATOM))
 (45018 35925 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (42076 41920 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (41920 41920 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (39869 39869 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (31380 10959 (:REWRITE DEFAULT-+-2))
 (30763 119 (:REWRITE ADDRS-AT-OF-ABS-FS-FIX))
 (30032 29924 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (29540 1592 (:REWRITE M1-FILE-P-OF-ABS-FILE))
 (28284 28284 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (28284 28284 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (26618 26618 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (24957 4800 (:REWRITE ABS-NO-DUPS-FILE-FIX-WHEN-ABS-NO-DUPS-FILE-P))
 (24675 20596 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (24154 14942 (:REWRITE INTERSECTP-MEMBER . 3))
 (24044 9474 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (23014 1834 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (22533 5786 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (22090 22090 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (22035 1983 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (20742 6201 (:DEFINITION STRIP-CARS))
 (20380 9057 (:REWRITE DEFAULT-<-2))
 (19079 1857 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (17746 17746 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-79))
 (17676 4137 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (17569 4137 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (17429 9057 (:REWRITE DEFAULT-<-1))
 (17358 1316 (:REWRITE ZP-OPEN))
 (16366 14942 (:REWRITE SUBSETP-MEMBER . 4))
 (16152 16152 (:REWRITE SUBSETP-TRANS2))
 (16152 16152 (:REWRITE SUBSETP-TRANS))
 (15222 14942 (:REWRITE INTERSECTP-MEMBER . 2))
 (14769 3843 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (14439 14341 (:REWRITE SUBSETP-MEMBER . 2))
 (13791 2345 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (11049 10959 (:REWRITE DEFAULT-+-1))
 (10666 3493 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (10463 10335 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (10232 292 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (9850 1970 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (8838 1618 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (8200 941 (:REWRITE ADDRS-AT-OF-APPEND-LEMMA-1))
 (7059 7059 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (6436 206 (:REWRITE CONSP-OF-NTHCDR))
 (5677 213 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (5639 40 (:REWRITE SUBSETP-OF-REMOVE1))
 (5412 84 (:REWRITE ASSOC-OF-APPEND-2))
 (5408 4802 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (5070 1237 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (4990 2495 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4773 4773 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (4755 4755 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (4522 4522 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (4522 4522 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (4522 4522 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (4522 4522 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (4522 4522 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (4441 325 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (4062 42 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (3980 3188 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (3880 140 (:REWRITE ABSFAT-EQUIV-OF-CTX-APP-LEMMA-8))
 (3506 36 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (3493 3493 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (3493 3493 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (3493 3493 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (3404 851 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (3304 3304 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (3223 636 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (3188 3188 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (3188 3188 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (3188 3188 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (2644 84 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE-LEMMA-1))
 (2364 209 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (2258 2258 (:REWRITE INTERSECTP-MEMBER . 1))
 (2222 2222 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (2158 36 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1983 1983 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (1772 36 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1752 544 (:DEFINITION NATP))
 (1674 306 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-239))
 (1618 1618 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (1616 1616 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (1552 733 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1429 316 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (1104 36 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (1052 137 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (996 36 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (942 23 (:REWRITE SUBSETP-OF-REMOVE2))
 (918 153 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (909 909 (:TYPE-PRESCRIPTION NATP-OF-ABS-PLACE-FILE-HELPER))
 (874 171 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (844 422 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (832 16 (:DEFINITION UNSIGNED-BYTE-P))
 (816 16 (:DEFINITION INTEGER-RANGE-P))
 (774 129 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (737 737 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (737 737 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (737 737 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (737 737 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (697 697 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (684 28 (:REWRITE ADDRS-AT-OF-ABS-PLACE-FILE-HELPER-1))
 (512 32 (:REWRITE LENGTH-WHEN-STRINGP))
 (467 36 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (456 99 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (448 448 (:REWRITE ABS-NO-DUPS-P-OF-ABS-PLACE-FILE-HELPER))
 (396 36 (:REWRITE SUBSETP-CAR-MEMBER))
 (383 209 (:REWRITE CONSP-OF-ASSOC-EQUAL-OF-APPEND))
 (360 40 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT))
 (346 190 (:REWRITE CONSP-OF-STRIP-CARS))
 (336 16 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (304 16 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (274 274 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (272 272 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (211 211 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (180 180 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (160 16 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY-LEMMA-1))
 (155 137 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (82 82 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (72 72 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (72 36 (:REWRITE SET-EQUIV-ASYM))
 (69 69 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (65 7 (:REWRITE CAR-OF-NTHCDR))
 (64 32 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (36 36 (:TYPE-PRESCRIPTION SET-EQUIV))
 (36 36 (:REWRITE SUBSETP-OF-CDR))
 (36 18 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (32 32 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (28 28 (:REWRITE ABS-TOP-ADDRS-OF-ABS-PLACE-FILE-HELPER))
 (18 18 (:TYPE-PRESCRIPTION D-E-P))
 (16 16 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (16 4 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (4 4 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-31
 (712 356 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (79 11 (:DEFINITION ASSOC-EQUAL))
 (57 2 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (51 23 (:REWRITE DEFAULT-CDR))
 (33 33 (:REWRITE DEFAULT-CAR))
 (33 2 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (31 1 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (24 3 (:DEFINITION LEN))
 (22 22 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (16 2 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 2))
 (12 12 (:TYPE-PRESCRIPTION NAMES-AT))
 (10 4 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (10 2 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (10 2 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (9 3 (:REWRITE DEFAULT-+-2))
 (8 2 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (8 2 (:REWRITE DEFAULT-<-2))
 (8 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (6 6 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (6 6 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (5 1 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (4 4 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (4 4 (:TYPE-PRESCRIPTION DIST-NAMES))
 (4 4 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (4 4 (:LINEAR LEN-WHEN-PREFIXP))
 (4 4 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4 1 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (3 3 (:REWRITE DEFAULT-+-1))
 (2 2 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2 2 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (2 2 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (2 2 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (2 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-32
 (377 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (345 4 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (201 2 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (162 4 (:REWRITE LEN-WHEN-PREFIXP))
 (102 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (101 8 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (67 8 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (58 58 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (57 4 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (56 8 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (53 4 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (48 8 (:DEFINITION LEN))
 (45 45 (:TYPE-PRESCRIPTION LEN))
 (45 6 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (45 3 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (38 3 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (36 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (32 4 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (24 8 (:REWRITE DEFAULT-+-2))
 (22 22 (:TYPE-PRESCRIPTION PREFIXP))
 (22 7 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (20 8 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (20 1 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (19 7 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (18 4 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (16 16 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (16 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (15 15 (:TYPE-PRESCRIPTION ABS-FS-P))
 (15 8 (:REWRITE DEFAULT-<-2))
 (15 8 (:REWRITE DEFAULT-<-1))
 (13 13 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (13 10 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (12 12 (:REWRITE DEFAULT-CDR))
 (12 12 (:LINEAR LEN-WHEN-PREFIXP))
 (12 12 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (12 4 (:DEFINITION NATP))
 (11 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (11 3 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (10 3 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (10 2 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (9 3 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (8 8 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (8 8 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (8 8 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (8 8 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (8 8 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (8 8 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE DEFAULT-+-1))
 (7 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (6 6 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (6 3 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (4 4 (:REWRITE DEFAULT-CAR))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (3 1 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-35
 (1306 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (978 9 (:REWRITE LEN-WHEN-PREFIXP))
 (859 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (667 16 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (597 9 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (581 6 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (550 6 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (451 8 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (443 9 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (439 16 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (261 34 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (248 150 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (142 20 (:DEFINITION LEN))
 (129 24 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (95 5 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (72 1 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (69 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (66 1 (:DEFINITION NTHCDR))
 (62 22 (:REWRITE DEFAULT-+-2))
 (61 41 (:REWRITE DEFAULT-CDR))
 (60 60 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (56 4 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (45 24 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (45 24 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (45 11 (:REWRITE DEFAULT-<-2))
 (40 40 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (40 40 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (37 11 (:REWRITE DEFAULT-<-1))
 (36 36 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (35 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (31 31 (:TYPE-PRESCRIPTION PREFIXP))
 (31 3 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (30 30 (:LINEAR LEN-WHEN-PREFIXP))
 (30 30 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (30 2 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (30 2 (:DEFINITION TRUE-LISTP))
 (24 24 (:REWRITE SUBSETP-TRANS2))
 (24 24 (:REWRITE SUBSETP-TRANS))
 (24 2 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (22 22 (:REWRITE DEFAULT-+-1))
 (22 16 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (22 2 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (20 17 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (19 19 (:REWRITE DEFAULT-CAR))
 (19 4 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (16 1 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (15 15 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (15 15 (:REWRITE CONSP-OF-LIST-FIX))
 (15 6 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (14 3 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (13 4 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (13 3 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (12 2 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (12 1 (:REWRITE ZP-OPEN))
 (10 10 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (10 4 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (9 6 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (9 3 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (9 1 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (9 1 (:DEFINITION ASSOC-EQUAL))
 (8 8 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (7 7 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (7 3 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (7 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (6 6 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION D-E-P))
 (6 6 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (6 6 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (6 6 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (6 6 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (6 3 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (6 1 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (6 1 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (5 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (5 1 (:DEFINITION NOT))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (4 4 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (4 4 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (4 2 (:REWRITE NFIX-WHEN-NATP))
 (4 2 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (3 3 (:TYPE-PRESCRIPTION FRAME-P))
 (3 3 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (3 3 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (3 3 (:TYPE-PRESCRIPTION ABS-FS-P))
 (3 3 (:REWRITE SET::IN-SET))
 (3 3 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (3 1 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (3 1 (:REWRITE COMMUTATIVITY-OF-+))
 (2 2 (:TYPE-PRESCRIPTION NFIX))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2 2 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2 2 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (2 2 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 1 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (2 1 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (2 1 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (2 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-36
 (2156 6 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (1625 391 (:REWRITE DEFAULT-CDR))
 (1538 15 (:REWRITE LEN-WHEN-PREFIXP))
 (1435 157 (:DEFINITION ASSOC-EQUAL))
 (1410 58 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (1054 15 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (974 15 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (926 15 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (898 339 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (860 1 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (836 37 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (792 12 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (687 637 (:REWRITE DEFAULT-CAR))
 (630 21 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (629 15 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (624 7 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (610 19 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (571 571 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (526 5 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (489 15 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (474 42 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (463 463 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (453 264 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (412 42 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (408 392 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (385 20 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (369 15 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (354 102 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (351 351 (:TYPE-PRESCRIPTION FRAME-P))
 (314 24 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (267 33 (:DEFINITION LEN))
 (264 264 (:TYPE-PRESCRIPTION LEN))
 (264 78 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (257 257 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (222 3 (:DEFINITION NTHCDR))
 (220 19 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (145 145 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (125 10 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-2))
 (119 39 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (113 37 (:REWRITE DEFAULT-<-2))
 (112 19 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (105 39 (:REWRITE DEFAULT-+-2))
 (103 103 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (102 102 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (102 102 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (102 102 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (93 93 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (82 37 (:REWRITE DEFAULT-<-1))
 (78 78 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (78 78 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (72 12 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (60 60 (:TYPE-PRESCRIPTION PREFIXP))
 (60 60 (:LINEAR LEN-WHEN-PREFIXP))
 (60 60 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (60 24 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (57 42 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (51 51 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (51 11 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (50 50 (:TYPE-PRESCRIPTION NATP-OF-ABS-PLACE-FILE-HELPER))
 (50 50 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (49 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (44 14 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (42 42 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (42 42 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (42 42 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (42 18 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (41 41 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (39 39 (:REWRITE DEFAULT-+-1))
 (33 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (30 15 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (30 15 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (30 6 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (29 15 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (25 1 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (24 24 (:TYPE-PRESCRIPTION ABS-PLACE-FILE-HELPER-OF-APPEND-LEMMA-2))
 (23 11 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (22 22 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (22 22 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (21 21 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (21 21 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (18 18 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (17 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (16 6 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (16 4 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (16 3 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (15 15 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (15 15 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (15 15 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (15 15 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (15 6 (:REWRITE NFIX-WHEN-NATP))
 (15 3 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (14 14 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (13 2 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (12 12 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (12 12 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (12 6 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (11 7 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (11 6 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (11 5 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (10 10 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (9 9 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (9 9 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (9 3 (:REWRITE COMMUTATIVITY-OF-+))
 (7 7 (:TYPE-PRESCRIPTION ZP))
 (7 3 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (6 6 (:TYPE-PRESCRIPTION NFIX))
 (6 6 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (6 6 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (5 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (5 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (5 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (5 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (5 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (5 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (3 1 (:REWRITE FRAME-VAL-OF-THE-DIR-FIELD))
 (3 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION FRAME-VAL))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-37
 (1620 7 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (1351 218 (:REWRITE DEFAULT-CDR))
 (1100 10 (:REWRITE LEN-WHEN-PREFIXP))
 (889 2 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (758 10 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (699 10 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (646 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (439 10 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (434 14 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (420 7 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (346 28 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (345 313 (:REWRITE DEFAULT-CAR))
 (289 28 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (288 10 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (251 10 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (209 10 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (203 25 (:DEFINITION LEN))
 (190 182 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (159 10 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (152 152 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (150 40 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (125 38 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (124 6 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (119 10 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (102 3 (:DEFINITION PUT-ASSOC-EQUAL))
 (98 28 (:REWRITE DEFAULT-<-2))
 (81 31 (:REWRITE DEFAULT-+-2))
 (68 28 (:REWRITE DEFAULT-<-1))
 (62 62 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (55 20 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (55 10 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (46 46 (:LINEAR LEN-WHEN-PREFIXP))
 (46 46 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (40 40 (:TYPE-PRESCRIPTION PREFIXP))
 (40 40 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (40 40 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (40 28 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (38 38 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (38 38 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (38 38 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (34 34 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (34 34 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (33 6 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (31 31 (:REWRITE DEFAULT-+-1))
 (28 28 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (28 28 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (28 28 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (28 8 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (25 10 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (24 8 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (24 8 (:DEFINITION NATP))
 (23 7 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (22 10 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (21 10 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (16 16 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (15 5 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (15 5 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (14 14 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (14 14 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (13 5 (:REWRITE NFIX-WHEN-NATP))
 (11 6 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (11 5 (:REWRITE FRAME-VAL-OF-THE-DIR-FIELD))
 (10 10 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (10 10 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (10 10 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (10 10 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (10 10 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (10 5 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (10 5 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (10 2 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (9 3 (:REWRITE COMMUTATIVITY-OF-+))
 (8 8 (:TYPE-PRESCRIPTION NATP))
 (8 8 (:TYPE-PRESCRIPTION FRAME-VAL))
 (8 8 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (5 5 (:TYPE-PRESCRIPTION ABS-FS-P))
 (5 5 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (5 5 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (5 5 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (4 4 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-38
 (5607 26 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (4431 49 (:REWRITE LEN-WHEN-PREFIXP))
 (3717 43 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (3693 1 (:REWRITE CTX-APP-OK-OF-ABS-PLACE-FILE-HELPER-1))
 (3654 51 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (3523 52 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (2476 109 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (2211 49 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2204 48 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (2200 808 (:REWRITE DEFAULT-CDR))
 (1732 119 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (1716 78 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (1688 26 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (1608 952 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (1420 49 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (1193 152 (:DEFINITION LEN))
 (1171 1054 (:REWRITE DEFAULT-CAR))
 (1005 386 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (952 952 (:TYPE-PRESCRIPTION LEN))
 (885 2 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (830 34 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (810 28 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (648 616 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (546 31 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (539 204 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (478 174 (:REWRITE DEFAULT-+-2))
 (446 34 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (424 109 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (402 402 (:TYPE-PRESCRIPTION FRAME-P))
 (384 384 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (384 12 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (366 119 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (353 95 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (333 333 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (308 83 (:REWRITE DEFAULT-<-2))
 (308 28 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (279 142 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (246 246 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (234 234 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (214 214 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (211 83 (:REWRITE DEFAULT-<-1))
 (204 204 (:LINEAR LEN-WHEN-PREFIXP))
 (195 195 (:TYPE-PRESCRIPTION PREFIXP))
 (176 59 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (174 174 (:REWRITE DEFAULT-+-1))
 (171 171 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (161 28 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (151 109 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (122 122 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (119 119 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (108 108 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (104 104 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (97 36 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (97 15 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (95 95 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (95 95 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (95 95 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (82 43 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (81 43 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (78 14 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (77 8 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-2))
 (76 76 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (76 38 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (76 34 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (74 71 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (66 13 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (58 18 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (57 15 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (52 52 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (52 18 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (52 2 (:REWRITE EQUAL-OF-FRAME-VAL))
 (51 51 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (51 51 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (51 51 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (51 51 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (47 47 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (46 46 (:TYPE-PRESCRIPTION FRAME-VAL))
 (39 39 (:TYPE-PRESCRIPTION NATP-OF-ABS-PLACE-FILE-HELPER))
 (38 38 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (38 2 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (37 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (36 20 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (36 18 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (35 35 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (35 17 (:REWRITE NFIX-WHEN-NATP))
 (35 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (33 11 (:REWRITE COMMUTATIVITY-OF-+))
 (32 32 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (30 30 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (30 15 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (30 9 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (30 2 (:DEFINITION TRUE-LISTP))
 (29 14 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (29 14 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (28 14 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (28 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (27 17 (:REWRITE FRAME-VAL-OF-THE-DIR-FIELD))
 (25 17 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (24 15 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (24 9 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (24 2 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (23 2 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (22 22 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (22 2 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (22 2 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (20 20 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (20 20 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (20 10 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (19 4 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (18 18 (:TYPE-PRESCRIPTION NFIX))
 (18 18 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (18 18 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (18 2 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (18 1 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (16 16 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (15 15 (:TYPE-PRESCRIPTION ABS-PLACE-FILE-HELPER-OF-APPEND-LEMMA-2))
 (15 15 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (15 15 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (15 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (14 14 (:REWRITE SUBSETP-TRANS2))
 (14 14 (:REWRITE SUBSETP-TRANS))
 (14 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-15))
 (14 3 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (13 13 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-FIX))
 (13 13 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (12 12 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (12 3 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (11 11 (:TYPE-PRESCRIPTION ZP))
 (11 11 (:REWRITE CONSP-OF-LIST-FIX))
 (10 10 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (10 4 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (9 9 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (9 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-P))
 (8 8 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (8 2 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (8 1 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (7 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (7 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (6 6 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (6 6 (:TYPE-PRESCRIPTION D-E-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (6 3 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (6 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (6 2 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (6 1 (:REWRITE ABS-NO-DUPS-FILE-FIX-WHEN-ABS-NO-DUPS-FILE-P))
 (6 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (6 1 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (5 3 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (4 4 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (3 3 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (3 3 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (3 3 (:REWRITE SET::IN-SET))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (3 1 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (2 2 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FRAME-VAL-P-OF-FRAME-VAL))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (2 2 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (1 1 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 (1 1 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-NO-DUPS-FILE-FIX))
 (1 1 (:REWRITE ABS-NO-DUPS-FILE-P-OF-ABS-NO-DUPS-FILE-FIX))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-39
 (21001 26 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (17224 91 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (15750 333 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (14388 2899 (:REWRITE DEFAULT-CDR))
 (13616 213 (:REWRITE LEN-WHEN-PREFIXP))
 (12486 333 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (10908 217 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (10637 220 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (9706 1082 (:DEFINITION ASSOC-EQUAL))
 (9127 223 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (9125 258 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (9053 464 (:DEFINITION LEN))
 (8393 3837 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (7868 32 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (7360 50 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (6113 213 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4401 10 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (4146 3990 (:REWRITE DEFAULT-CAR))
 (3822 3822 (:TYPE-PRESCRIPTION LEN))
 (3556 57 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (3271 109 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (3190 206 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (3084 105 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (2953 217 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (2514 2482 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2181 106 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2132 16 (:REWRITE CONSP-OF-NTHCDR))
 (1825 1825 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (1726 54 (:REWRITE EQUAL-OF-FRAME-VAL))
 (1702 562 (:REWRITE DEFAULT-+-2))
 (1680 110 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1660 430 (:REWRITE DEFAULT-<-2))
 (1558 266 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (1530 422 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1297 346 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (1265 430 (:REWRITE DEFAULT-<-1))
 (1238 105 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1185 330 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (860 860 (:LINEAR LEN-WHEN-PREFIXP))
 (860 860 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (835 76 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-2))
 (826 826 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (817 817 (:TYPE-PRESCRIPTION PREFIXP))
 (755 220 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (751 220 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (747 747 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (745 745 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (730 141 (:REWRITE NFIX-WHEN-NATP))
 (592 211 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (585 105 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (578 562 (:REWRITE DEFAULT-+-1))
 (556 4 (:REWRITE LEN-OF-NTHCDR))
 (545 98 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (539 539 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (480 416 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (422 422 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (419 419 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (418 418 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (402 402 (:TYPE-PRESCRIPTION ABS-PLACE-FILE-HELPER-OF-APPEND-LEMMA-2))
 (346 346 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (346 346 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (346 346 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (330 330 (:TYPE-PRESCRIPTION NATP-OF-ABS-PLACE-FILE-HELPER))
 (330 330 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (330 330 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (321 17 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (276 96 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (275 110 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (228 4 (:DEFINITION NATP))
 (220 220 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (220 220 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (220 220 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (220 220 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (214 54 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (203 203 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (189 189 (:TYPE-PRESCRIPTION FRAME-VAL))
 (180 54 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (160 160 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-CORRECTNESS-1 . 2))
 (140 4 (:DEFINITION NFIX))
 (136 136 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (128 61 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (124 31 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (117 93 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (109 54 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (108 108 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (106 47 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (102 51 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (96 96 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (94 47 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (91 91 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (83 83 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (72 3 (:DEFINITION TRUE-LISTP))
 (68 68 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (66 22 (:REWRITE COMMUTATIVITY-OF-+))
 (61 61 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (55 55 (:TYPE-PRESCRIPTION ZP))
 (55 47 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (54 54 (:TYPE-PRESCRIPTION FRAME-VAL-P))
 (54 6 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (52 52 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (52 52 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (49 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (47 47 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (47 26 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (44 44 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (44 22 (:REWRITE FRAME-VAL-OF-THE-DIR-FIELD))
 (40 31 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (36 12 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (36 4 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (34 34 (:TYPE-PRESCRIPTION NFIX))
 (33 33 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (33 33 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (33 33 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (33 33 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (33 33 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (33 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (32 16 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (25 1 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (22 22 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (20 20 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (20 4 (:REWRITE DEFAULT-UNARY-MINUS))
 (18 6 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (17 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-26))
 (17 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (16 16 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (16 16 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (16 3 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (15 15 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (13 2 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (12 12 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (12 12 (:TYPE-PRESCRIPTION D-E-P))
 (12 6 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (9 3 (:REWRITE TRUE-LISTP-OF-PUT-ASSOC))
 (9 3 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (7 3 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (6 6 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (6 6 (:REWRITE-QUOTED-CONSTANT ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 (6 6 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (6 6 (:REWRITE SET::IN-SET))
 (4 4 (:TYPE-PRESCRIPTION SET-EQUIV))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:REWRITE SUBSETP-TRANS2))
 (4 4 (:REWRITE SUBSETP-TRANS))
 (4 4 (:REWRITE SUBSETP-REFL))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE CAR-OF-NTHCDR))
 (3 3 (:TYPE-PRESCRIPTION NULL))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (3 3 (:DEFINITION NULL))
 (3 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-40
 (151648 426 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (151071 16 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (137430 455 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (135782 416 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (129354 817 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (128135 135 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (115560 259 (:REWRITE LEN-WHEN-PREFIXP))
 (108059 597 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (106865 158 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (106489 110 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (104528 43 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (89218 259 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (85239 168 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (66688 346 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (59115 51 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (58247 187 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (48275 255 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (37288 441 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (35937 66 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (20196 102 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-10))
 (19408 8 (:REWRITE ABS-ADDRS-WHEN-ABSFAT-EQUIV-LEMMA-1))
 (18528 185 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (9801 405 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (8341 168 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (7572 168 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (6423 2651 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (6072 16 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (5716 1466 (:REWRITE DEFAULT-CDR))
 (4743 4743 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2875 16 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (2471 817 (:REWRITE DEFAULT-+-2))
 (1869 8 (:REWRITE CONSP-OF-NTHCDR))
 (1632 153 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (1626 16 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1597 382 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1406 1406 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (1261 376 (:REWRITE DEFAULT-<-2))
 (1188 63 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1126 376 (:REWRITE DEFAULT-<-1))
 (1063 16 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (1029 32 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (999 126 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (995 101 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (956 876 (:REWRITE DEFAULT-CAR))
 (916 916 (:LINEAR LEN-WHEN-PREFIXP))
 (901 419 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (885 2 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (879 416 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (876 16 (:REWRITE SUBSETP-CAR-MEMBER))
 (830 117 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (827 817 (:REWRITE DEFAULT-+-1))
 (711 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-9))
 (676 8 (:REWRITE CTX-APP-OK-OF-CTX-APP-LIST-SEQ-LEMMA-1))
 (667 424 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (639 516 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (613 8 (:REWRITE VALID-SEQP-WHEN-PREFIXP))
 (610 424 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (606 303 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (605 321 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (516 154 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (477 477 (:REWRITE SUBSETP-TRANS2))
 (477 477 (:REWRITE SUBSETP-TRANS))
 (465 117 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (452 7 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (436 69 (:DEFINITION NATP))
 (360 24 (:DEFINITION TRUE-LISTP))
 (352 344 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (346 346 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (346 346 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (346 346 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (346 346 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (336 336 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (335 39 (:REWRITE NFIX-WHEN-NATP))
 (326 2 (:REWRITE LEN-OF-NTHCDR))
 (319 319 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (309 309 (:TYPE-PRESCRIPTION STRIP-CARS))
 (287 23 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (282 282 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (263 23 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (255 51 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (235 64 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (228 48 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (225 225 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (224 53 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (222 111 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (217 101 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (187 49 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (176 16 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (170 170 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (154 154 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (144 32 (:DEFINITION STRIP-CARS))
 (131 131 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (130 13 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-11))
 (126 126 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (126 6 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (121 121 (:TYPE-PRESCRIPTION NATP))
 (120 120 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (120 60 (:REWRITE SET-EQUIV-ASYM))
 (120 48 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (102 102 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (101 101 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (100 3 (:DEFINITION PUT-ASSOC-EQUAL))
 (90 15 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (84 29 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (81 81 (:REWRITE SUBSETP-MEMBER . 2))
 (81 81 (:REWRITE SUBSETP-MEMBER . 1))
 (81 47 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (79 79 (:REWRITE CONSP-OF-LIST-FIX))
 (75 27 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (72 72 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (72 72 (:TYPE-PRESCRIPTION D-E-P))
 (72 36 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (72 27 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (70 14 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (68 68 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (64 64 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (64 16 (:REWRITE MEMBER-WHEN-ATOM))
 (62 2 (:DEFINITION NFIX))
 (60 60 (:TYPE-PRESCRIPTION SET-EQUIV))
 (60 60 (:REWRITE SUBSETP-OF-CDR))
 (56 48 (:REWRITE CONSP-OF-STRIP-CARS))
 (53 53 (:REWRITE SUBSETP-REFL))
 (51 51 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (49 49 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (49 49 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (49 49 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (48 48 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (45 45 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (45 15 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (39 16 (:TYPE-PRESCRIPTION FINAL-VAL-SEQ-OF-COLLAPSE-THIS-LEMMA-7))
 (38 34 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (36 36 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (36 36 (:REWRITE SET::IN-SET))
 (35 16 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (33 33 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (32 16 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (32 8 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (30 30 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (27 7 (:REWRITE COMMUTATIVITY-OF-+))
 (24 24 (:TYPE-PRESCRIPTION NAMES-AT))
 (24 12 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (24 8 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 1))
 (23 23 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (20 20 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (20 4 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (19 17 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (19 5 (:REWRITE FRAME-VAL-OF-THE-DIR-FIELD))
 (16 16 (:TYPE-PRESCRIPTION VALID-SEQP))
 (16 16 (:REWRITE SUBSETP-MEMBER . 4))
 (16 16 (:REWRITE SUBSETP-MEMBER . 3))
 (16 16 (:REWRITE INTERSECTP-MEMBER . 3))
 (16 16 (:REWRITE INTERSECTP-MEMBER . 2))
 (16 2 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (16 2 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (15 15 (:TYPE-PRESCRIPTION NFIX))
 (14 5 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (13 13 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (13 13 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 (13 11 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (13 3 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 2))
 (12 6 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (10 5 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (10 4 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (10 2 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 2))
 (9 9 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-29))
 (9 9 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-28))
 (9 2 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (8 8 (:TYPE-PRESCRIPTION FRAME-VAL))
 (8 8 (:TYPE-PRESCRIPTION DIST-NAMES))
 (8 8 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (8 8 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (8 8 (:REWRITE ABSFAT-EQUIV-OF-CTX-APP-LEMMA-1))
 (8 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (6 6 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (6 2 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (6 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (4 4 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (4 2 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (4 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (2 2 (:TYPE-PRESCRIPTION ZP))
 (2 2 (:REWRITE PREFIXP-REFLEXIVE))
 (2 2 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (2 2 (:REWRITE CAR-OF-NTHCDR))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (1 1 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-41
 (101673 1041 (:REWRITE LEN-WHEN-PREFIXP))
 (82843 1052 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (64405 48 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (62791 16 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (60492 1961 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (43333 6143 (:REWRITE DEFAULT-CDR))
 (29634 3949 (:DEFINITION LEN))
 (28100 1975 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (26257 3725 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (12555 2511 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (11879 3981 (:REWRITE DEFAULT-+-2))
 (11679 669 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (6230 6230 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (4001 2462 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (4001 2462 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (3981 3981 (:REWRITE DEFAULT-+-1))
 (3865 80 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (3849 32 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (3795 1048 (:REWRITE DEFAULT-<-2))
 (3647 1048 (:REWRITE DEFAULT-<-1))
 (3544 3544 (:LINEAR LEN-WHEN-PREFIXP))
 (3337 32 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (3140 1570 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2845 1975 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (2786 96 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2720 48 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (2660 2660 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (2511 2511 (:REWRITE SUBSETP-TRANS2))
 (2511 2511 (:REWRITE SUBSETP-TRANS))
 (2370 158 (:DEFINITION TRUE-LISTP))
 (2272 48 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2198 7 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-1))
 (2157 2157 (:REWRITE DEFAULT-CAR))
 (1970 1838 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1961 1961 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (1803 1176 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1752 1176 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1751 171 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (1501 316 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1425 190 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (1298 80 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1289 1289 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1289 1289 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1289 1289 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1289 1289 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1264 32 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (1263 171 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (1070 1070 (:REWRITE CONSP-OF-LIST-FIX))
 (1056 96 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1049 32 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (960 128 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (960 48 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (860 430 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (848 272 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (839 839 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (790 316 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (640 32 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (615 48 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (576 48 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (576 48 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (544 32 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (474 474 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (474 474 (:TYPE-PRESCRIPTION D-E-P))
 (474 237 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (370 150 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (352 352 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (336 48 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (320 16 (:REWRITE ZP-OPEN))
 (316 316 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (304 176 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (272 272 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (267 267 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (265 106 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (237 237 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (237 237 (:REWRITE SET::IN-SET))
 (224 32 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (217 106 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (192 192 (:TYPE-PRESCRIPTION M1-FILE-P))
 (192 96 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (187 17 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (186 31 (:DEFINITION STRIP-CARS))
 (176 176 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (171 171 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (160 48 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (160 32 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (156 66 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (144 144 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (133 7 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-2))
 (132 33 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (132 14 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (130 130 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (128 128 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (99 99 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (98 98 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (96 96 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (96 96 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (96 48 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (96 16 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (80 16 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (64 64 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (64 64 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (49 49 (:REWRITE SUBSETP-REFL))
 (48 48 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (48 48 (:REWRITE ABS-NO-DUPS-P-OF-FRAME-VAL->DIR))
 (48 16 (:REWRITE COMMUTATIVITY-OF-+))
 (48 8 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (46 46 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (44 44 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (39 9 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (37 37 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (33 33 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (33 33 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (33 33 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (33 33 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (32 32 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (32 32 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (32 32 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (32 32 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (24 24 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (22 22 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (21 21 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (11 11 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (7 7 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (6 1 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-42
 (236 3 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (216 4 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (210 12 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (186 3 (:DEFINITION NTHCDR))
 (133 18 (:DEFINITION LEN))
 (131 6 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (129 2 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (107 14 (:DEFINITION ASSOC-EQUAL))
 (96 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-4))
 (89 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (65 51 (:REWRITE DEFAULT-CDR))
 (61 1 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (60 57 (:REWRITE DEFAULT-CAR))
 (60 24 (:REWRITE DEFAULT-+-2))
 (55 1 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (48 3 (:REWRITE ZP-OPEN))
 (43 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (40 2 (:REWRITE LEN-WHEN-PREFIXP))
 (37 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (36 36 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (32 1 (:REWRITE CONSP-OF-NTHCDR))
 (31 10 (:REWRITE DEFAULT-<-2))
 (29 3 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (28 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (27 27 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (25 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (24 24 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (24 24 (:REWRITE DEFAULT-+-1))
 (19 10 (:REWRITE DEFAULT-<-1))
 (18 18 (:TYPE-PRESCRIPTION STRIP-CARS))
 (17 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (15 6 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (14 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (12 6 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (12 2 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (11 5 (:REWRITE NFIX-WHEN-NATP))
 (11 2 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (11 1 (:REWRITE SUBSETP-CAR-MEMBER))
 (11 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (10 10 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (10 10 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (10 10 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (10 10 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (10 10 (:LINEAR LEN-WHEN-PREFIXP))
 (10 2 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (9 9 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (9 3 (:REWRITE COMMUTATIVITY-OF-+))
 (9 2 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (7 7 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (7 7 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (7 7 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (7 7 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (7 7 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (7 1 (:DEFINITION NATP))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (6 3 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (6 3 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (5 5 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (5 2 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (5 2 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (5 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (4 4 (:TYPE-PRESCRIPTION NFIX))
 (4 2 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 1 (:REWRITE PATH-CLEAR-OF-REMOVE-ASSOC-1))
 (4 1 (:REWRITE MEMBER-WHEN-ATOM))
 (4 1 (:DEFINITION STRIP-CARS))
 (3 3 (:TYPE-PRESCRIPTION NATP))
 (3 3 (:TYPE-PRESCRIPTION ABS-FS-P))
 (3 3 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (3 3 (:REWRITE CONSP-OF-STRIP-CARS))
 (2 2 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (2 2 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2 2 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2 1 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (2 1 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (2 1 (:REWRITE SET-EQUIV-ASYM))
 (2 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:REWRITE SUBSETP-OF-CDR))
 (1 1 (:REWRITE SUBSETP-MEMBER . 4))
 (1 1 (:REWRITE SUBSETP-MEMBER . 3))
 (1 1 (:REWRITE SUBSETP-MEMBER . 2))
 (1 1 (:REWRITE SUBSETP-MEMBER . 1))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-43
 (38647 561 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (34153 277 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (33998 937 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (25139 516 (:REWRITE LEN-WHEN-PREFIXP))
 (18512 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (17442 9 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (17031 34 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (15485 1 (:REWRITE ABS-FIND-FILE-HELPER-OF-CTX-APP))
 (14782 4 (:REWRITE PATH-CLEAR-OF-REMOVE-ASSOC-1))
 (14707 1500 (:DEFINITION LEN))
 (13163 496 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (10399 527 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (7894 2501 (:REWRITE DEFAULT-CDR))
 (5964 16 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (5017 1803 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4652 1560 (:REWRITE DEFAULT-+-2))
 (3462 902 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (3419 855 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (3276 146 (:DEFINITION ASSOC-EQUAL))
 (3241 18 (:REWRITE CONSP-OF-NTHCDR))
 (2432 592 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1849 573 (:REWRITE DEFAULT-<-2))
 (1818 1818 (:LINEAR LEN-WHEN-PREFIXP))
 (1758 573 (:REWRITE DEFAULT-<-1))
 (1576 1560 (:REWRITE DEFAULT-+-1))
 (1495 6 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-4))
 (1355 902 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1328 10 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1320 1192 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1319 1182 (:REWRITE DEFAULT-CAR))
 (986 9 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-1))
 (913 30 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (909 12 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (889 570 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (886 12 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (863 1 (:REWRITE MEMBER-OF-NTH-WHEN-NOT-INTERSECTP))
 (862 64 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (851 3 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 2))
 (817 10 (:REWRITE SUBSETP-CAR-MEMBER))
 (770 36 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (749 67 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (651 4 (:REWRITE SUBSETP-OF-REMOVE1))
 (610 610 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (610 610 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (610 610 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (610 610 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (471 141 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (470 133 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (446 11 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (391 44 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (365 17 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (363 30 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (362 12 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (352 18 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (340 324 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (330 10 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (324 324 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (312 312 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (283 28 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (280 280 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (262 17 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (260 260 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (257 74 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (234 3 (:REWRITE LEN-OF-NTHCDR))
 (232 5 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (229 14 (:DEFINITION NATP))
 (225 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-30))
 (218 1 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (214 214 (:TYPE-PRESCRIPTION STRIP-CARS))
 (205 133 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (199 133 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (187 63 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (174 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (172 30 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (168 12 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (143 11 (:REWRITE CTX-APP-OK-OF-CTX-APP-LIST-SEQ-LEMMA-1))
 (137 67 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (137 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-9))
 (133 133 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (132 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-15))
 (117 117 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (113 113 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (112 17 (:DEFINITION STRIP-CARS))
 (94 15 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (94 6 (:REWRITE VALID-SEQP-WHEN-PREFIXP))
 (92 55 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (91 26 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (85 85 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (85 9 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-2))
 (75 10 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (74 74 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (74 74 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (74 74 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (73 73 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (67 17 (:REWRITE COMMUTATIVITY-OF-+))
 (64 1 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (63 63 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (62 62 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (62 18 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (60 30 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (60 16 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (56 3 (:REWRITE MEMBER-OF-STRIP-CARS))
 (55 55 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (54 42 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (54 30 (:REWRITE CONSP-OF-STRIP-CARS))
 (49 15 (:REWRITE MEMBER-WHEN-ATOM))
 (47 2 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (39 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (37 37 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (36 18 (:REWRITE SET-EQUIV-ASYM))
 (36 2 (:REWRITE FRAME-ADDRS-ROOT-CORRECTNESS-2))
 (35 35 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (33 33 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (32 32 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (32 16 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (32 1 (:DEFINITION PUT-ASSOC-EQUAL))
 (30 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (30 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (29 2 (:REWRITE HIFAT-OPENDIR-CORRECTNESS-LEMMA-2))
 (28 28 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (28 12 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (26 26 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (26 26 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (26 26 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (26 12 (:TYPE-PRESCRIPTION FINAL-VAL-SEQ-OF-COLLAPSE-THIS-LEMMA-7))
 (25 5 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (24 24 (:TYPE-PRESCRIPTION SET-EQUIV))
 (24 3 (:REWRITE SUBSETP-OF-REMOVE2))
 (23 23 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (23 23 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (21 21 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (21 5 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (21 1 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (21 1 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (20 20 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (20 10 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (19 11 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 1))
 (19 2 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (18 18 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (18 7 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (18 2 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (18 2 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (18 2 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-EQUAL))
 (18 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (17 17 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (17 17 (:REWRITE SUBSETP-TRANS2))
 (17 17 (:REWRITE SUBSETP-TRANS))
 (17 17 (:REWRITE SUBSETP-OF-CDR))
 (17 2 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (15 15 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (15 15 (:REWRITE SUBSETP-MEMBER . 4))
 (15 15 (:REWRITE SUBSETP-MEMBER . 3))
 (15 15 (:REWRITE SUBSETP-MEMBER . 2))
 (15 15 (:REWRITE SUBSETP-MEMBER . 1))
 (15 15 (:REWRITE INTERSECTP-MEMBER . 3))
 (15 15 (:REWRITE INTERSECTP-MEMBER . 2))
 (15 7 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (15 4 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (15 1 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (15 1 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (14 14 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (14 14 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (14 14 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (14 12 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (14 7 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (14 2 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (14 1 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (13 2 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (12 12 (:TYPE-PRESCRIPTION VALID-SEQP))
 (12 4 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (12 3 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (11 9 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (11 1 (:REWRITE ABS-FS-P-OF-REMOVE))
 (10 10 (:REWRITE SUBSETP-REFL))
 (10 7 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (10 3 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (10 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-11))
 (9 4 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION FRAME-VAL))
 (8 8 (:TYPE-PRESCRIPTION DIST-NAMES))
 (8 8 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (8 2 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (8 1 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (8 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (7 3 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (7 1 (:REWRITE STRIP-CARS-OF-REMOVE-ASSOC))
 (6 6 (:TYPE-PRESCRIPTION ZP))
 (6 6 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (6 6 (:TYPE-PRESCRIPTION D-E-P))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-41))
 (6 3 (:REWRITE DEFAULT-UNARY-MINUS))
 (6 2 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-2))
 (6 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (6 2 (:LINEAR NTH-WHEN-D-E-P))
 (6 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (6 1 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (5 3 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (5 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (5 1 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION NAT-LISTP))
 (4 4 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (3 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-31))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-29))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-28))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (3 1 (:REWRITE NTH-WHEN-D-E-P . 2))
 (3 1 (:REWRITE FRAME-VAL-OF-THE-DIR-FIELD))
 (3 1 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (2 2 (:TYPE-PRESCRIPTION NULL))
 (2 2 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (2 2 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (2 2 (:REWRITE SUBSETP-OF-REMOVE))
 (2 2 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (2 2 (:REWRITE CAR-OF-NTHCDR))
 (2 2 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (2 2 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (2 2 (:DEFINITION NULL))
 (2 1 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 1))
 (1 1 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (1 1 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (1 1 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (1 1 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-44
 (1188606 11499 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (731403 2070 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (605863 14 (:REWRITE PATH-CLEAR-OF-REMOVE-ASSOC-1))
 (483760 16024 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (332471 21980 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (308947 71 (:REWRITE PREFIXP-OF-APPEND-ARG1))
 (265608 12198 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (253151 30115 (:REWRITE DEFAULT-CDR))
 (232018 16071 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (228417 6199 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (111984 11518 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (110021 133 (:REWRITE TAKE-WHEN-PREFIXP))
 (93440 1454 (:REWRITE CONSP-OF-NTHCDR))
 (72694 23523 (:REWRITE DEFAULT-+-2))
 (66766 17125 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (59210 17965 (:REWRITE DEFAULT-<-2))
 (58068 17824 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (56175 78 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (55688 17965 (:REWRITE DEFAULT-<-1))
 (53359 18 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (53077 1 (:REWRITE ABS-FIND-FILE-HELPER-OF-CTX-APP))
 (44336 41536 (:LINEAR LEN-WHEN-PREFIXP))
 (37758 2736 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (32487 6199 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (30104 433 (:REWRITE LEN-OF-NTHCDR))
 (27047 23523 (:REWRITE DEFAULT-+-1))
 (25857 25857 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (19717 9991 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (19145 9 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (18651 17122 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (17321 17125 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (14445 11722 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (13088 11728 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (11728 11722 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (11722 11722 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (8337 276 (:DEFINITION NATP))
 (7243 7243 (:REWRITE SUBSETP-TRANS2))
 (7243 7243 (:REWRITE SUBSETP-TRANS))
 (6921 6383 (:REWRITE DEFAULT-CAR))
 (6560 402 (:DEFINITION ASSOC-EQUAL))
 (4890 326 (:DEFINITION TRUE-LISTP))
 (4611 2727 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (4064 2032 (:REWRITE SET-EQUIV-ASYM))
 (4037 7 (:REWRITE ABS-FIND-FILE-HELPER-OF-APPEND-1))
 (3935 74 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (3602 236 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (3496 236 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (3361 116 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (3097 652 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (2950 1475 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2644 2644 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (2465 16 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-4))
 (2394 122 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2383 2383 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (2270 181 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2053 125 (:DEFINITION TAKE))
 (2040 2040 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1948 20 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1920 1920 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (1851 1851 (:REWRITE SUBSETP-OF-CDR))
 (1634 463 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1630 652 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (1550 2 (:REWRITE MEMBER-OF-NTH-WHEN-NOT-INTERSECTP))
 (1516 4 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 2))
 (1483 18 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (1330 116 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1146 482 (:REWRITE DEFAULT-UNARY-MINUS))
 (1060 1060 (:REWRITE SUBSETP-OF-NTHCDR))
 (1051 236 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (1048 33 (:REWRITE COMMUTATIVITY-2-OF-+))
 (1044 1044 (:REWRITE SUBSETP-REFL))
 (990 990 (:TYPE-PRESCRIPTION D-E-P))
 (978 978 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (978 489 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (968 968 (:REWRITE CONSP-OF-LIST-FIX))
 (952 952 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (927 20 (:REWRITE SUBSETP-CAR-MEMBER))
 (872 856 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (772 235 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (747 234 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (727 18 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (703 44 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (695 34 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (687 687 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (680 116 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (652 652 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (651 4 (:REWRITE SUBSETP-OF-REMOVE1))
 (644 16 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (642 22 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (621 38 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (602 70 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (580 20 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (514 257 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (489 489 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (489 489 (:REWRITE SET::IN-SET))
 (468 468 (:TYPE-PRESCRIPTION TAKE))
 (463 463 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (404 404 (:TYPE-PRESCRIPTION STRIP-CARS))
 (392 2 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-1))
 (385 27 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (375 27 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (366 165 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (359 181 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (343 98 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (311 79 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (297 165 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (273 59 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (265 58 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (264 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-15))
 (256 256 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (236 236 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (234 234 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (234 234 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (234 234 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (233 233 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (232 5 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (225 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-30))
 (224 224 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (218 1 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (209 209 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (199 30 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (196 74 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (187 187 (:REWRITE CAR-OF-NTHCDR))
 (184 21 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (174 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (163 163 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (160 30 (:REWRITE UNICITY-OF-0))
 (154 154 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (152 27 (:DEFINITION STRIP-CARS))
 (151 31 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (146 59 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (143 11 (:REWRITE CTX-APP-OK-OF-CTX-APP-LIST-SEQ-LEMMA-1))
 (136 17 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (130 30 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (118 118 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (115 115 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (114 30 (:REWRITE MEMBER-WHEN-ATOM))
 (112 112 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (98 98 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (98 98 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (94 6 (:REWRITE VALID-SEQP-WHEN-PREFIXP))
 (88 88 (:TYPE-PRESCRIPTION M1-FILE-P))
 (84 60 (:REWRITE CONSP-OF-STRIP-CARS))
 (83 83 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (82 28 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (70 70 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (68 68 (:REWRITE FOLD-CONSTS-IN-+))
 (64 1 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (63 63 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (58 19 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (56 3 (:REWRITE MEMBER-OF-STRIP-CARS))
 (52 13 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (50 50 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (50 18 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (49 49 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (47 2 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (46 19 (:REWRITE CAR-OF-APPEND))
 (46 2 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (45 3 (:REWRITE DISTRIBUTIVITY-OF-MINUS-OVER-+))
 (44 4 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (42 2 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (41 9 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (40 40 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (40 18 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (36 36 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (36 2 (:REWRITE FRAME-ADDRS-ROOT-CORRECTNESS-2))
 (35 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (33 16 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (32 32 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (32 1 (:DEFINITION PUT-ASSOC-EQUAL))
 (30 30 (:REWRITE SUBSETP-MEMBER . 4))
 (30 30 (:REWRITE SUBSETP-MEMBER . 3))
 (30 30 (:REWRITE SUBSETP-MEMBER . 2))
 (30 30 (:REWRITE SUBSETP-MEMBER . 1))
 (30 30 (:REWRITE INTERSECTP-MEMBER . 3))
 (30 30 (:REWRITE INTERSECTP-MEMBER . 2))
 (30 6 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (30 2 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (30 2 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (29 2 (:REWRITE HIFAT-OPENDIR-CORRECTNESS-LEMMA-2))
 (28 28 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (28 28 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-11))
 (28 28 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (28 4 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (28 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (26 26 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (26 26 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (26 26 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (26 26 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (26 12 (:TYPE-PRESCRIPTION FINAL-VAL-SEQ-OF-COLLAPSE-THIS-LEMMA-7))
 (25 1 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (24 4 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (24 3 (:REWRITE SUBSETP-OF-REMOVE2))
 (22 6 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (21 7 (:REWRITE ABS-FIND-FILE-HELPER-OF-FAT32-FILENAME-LIST-FIX))
 (21 7 (:DEFINITION ATOM))
 (21 1 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (20 18 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (19 11 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 1))
 (18 7 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (18 2 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-2))
 (18 2 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (18 2 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (18 2 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-EQUAL))
 (17 17 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-41))
 (15 15 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (15 15 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (15 4 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (14 14 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-29))
 (14 14 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-28))
 (14 7 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (13 2 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (12 12 (:TYPE-PRESCRIPTION VALID-SEQP))
 (12 4 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (12 4 (:LINEAR NTH-WHEN-D-E-P))
 (11 9 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (11 1 (:REWRITE ABS-FS-P-OF-REMOVE))
 (10 3 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (10 3 (:REWRITE LIST-EQUIV-OF-APPEND-AND-APPEND))
 (8 8 (:TYPE-PRESCRIPTION ZP))
 (8 8 (:TYPE-PRESCRIPTION FRAME-VAL))
 (8 8 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (8 8 (:TYPE-PRESCRIPTION DIST-NAMES))
 (8 1 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (8 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (8 1 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (7 7 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (7 3 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (7 1 (:REWRITE STRIP-CARS-OF-REMOVE-ASSOC))
 (6 2 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-2))
 (6 2 (:REWRITE NTH-WHEN-D-E-P . 2))
 (6 1 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (5 1 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (4 4 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (4 4 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (4 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (4 4 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (3 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-31))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (3 1 (:REWRITE FRAME-VAL-OF-THE-DIR-FIELD))
 (3 1 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (3 1 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION NULL))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (2 2 (:REWRITE SUBSETP-OF-REMOVE))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 1))
 (2 2 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (2 2 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (2 2 (:DEFINITION NULL))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (1 1 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-45
 (1291978 10889 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (784150 1877 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (696494 16 (:REWRITE PATH-CLEAR-OF-REMOVE-ASSOC-1))
 (517445 15077 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (355591 75 (:REWRITE PREFIXP-OF-APPEND-ARG1))
 (344196 21012 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (276680 11015 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (275288 29607 (:REWRITE DEFAULT-CDR))
 (248491 15140 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (242449 5539 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (121746 10932 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (118928 142 (:REWRITE TAKE-WHEN-PREFIXP))
 (105981 1350 (:REWRITE CONSP-OF-NTHCDR))
 (86235 96 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (84214 16193 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (81934 2 (:REWRITE ABS-FIND-FILE-HELPER-OF-CTX-APP))
 (75118 16353 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (73266 22864 (:REWRITE DEFAULT-+-2))
 (71682 17146 (:REWRITE DEFAULT-<-2))
 (70764 17146 (:REWRITE DEFAULT-<-1))
 (57153 29 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (41624 407 (:REWRITE LEN-OF-NTHCDR))
 (40690 38738 (:LINEAR LEN-WHEN-PREFIXP))
 (36012 2467 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (35059 5539 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (27272 22864 (:REWRITE DEFAULT-+-1))
 (23935 15 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (23293 23293 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (22890 9607 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (21073 16324 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (18128 16353 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (13288 281 (:DEFINITION NATP))
 (13121 11219 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (12173 11223 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (11223 11219 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (11219 11219 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (7510 6835 (:REWRITE DEFAULT-CAR))
 (6494 6494 (:REWRITE SUBSETP-TRANS2))
 (6494 6494 (:REWRITE SUBSETP-TRANS))
 (5530 100 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (4881 7 (:REWRITE ABS-FIND-FILE-HELPER-OF-APPEND-1))
 (4846 130 (:DEFINITION TAKE))
 (4506 154 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (4380 292 (:DEFINITION TRUE-LISTP))
 (3871 490 (:DEFINITION ASSOC-EQUAL))
 (3766 20 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-4))
 (3706 1853 (:REWRITE SET-EQUIV-ASYM))
 (3332 166 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3241 211 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (3152 28 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (3131 211 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (3125 252 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2966 1364 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (2774 584 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (2739 3 (:REWRITE MEMBER-OF-NTH-WHEN-NOT-INTERSECTP))
 (2692 8 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 2))
 (2648 1324 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2632 106 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (2403 2403 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (2359 2359 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (2224 628 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2080 29 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (1949 455 (:REWRITE DEFAULT-UNARY-MINUS))
 (1867 1867 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1789 154 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1722 28 (:REWRITE SUBSETP-CAR-MEMBER))
 (1689 1689 (:REWRITE SUBSETP-OF-CDR))
 (1545 299 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1460 584 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (1341 50 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1310 1310 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (1302 8 (:REWRITE SUBSETP-OF-REMOVE1))
 (1080 1048 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1003 314 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (955 955 (:REWRITE SUBSETP-REFL))
 (955 955 (:REWRITE SUBSETP-OF-NTHCDR))
 (948 32 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (941 211 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (896 154 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (894 894 (:TYPE-PRESCRIPTION D-E-P))
 (876 876 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (876 438 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (863 863 (:REWRITE CONSP-OF-LIST-FIX))
 (860 28 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (851 94 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (844 844 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (830 263 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (774 22 (:REWRITE COMMUTATIVITY-2-OF-+))
 (746 42 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (739 21 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (720 46 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (649 17 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (628 628 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (625 4 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-1))
 (609 42 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (600 285 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (584 584 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (580 580 (:TYPE-PRESCRIPTION STRIP-CARS))
 (536 100 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (512 252 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (504 504 (:TYPE-PRESCRIPTION TAKE))
 (484 242 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (464 10 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (462 132 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (450 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-30))
 (438 438 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (438 438 (:REWRITE SET::IN-SET))
 (436 2 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (398 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-15))
 (371 77 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (362 362 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (348 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (345 79 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (335 335 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (286 22 (:REWRITE CTX-APP-OK-OF-CTX-APP-LIST-SEQ-LEMMA-1))
 (281 281 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (263 263 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (263 263 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (263 263 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (261 261 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (260 52 (:REWRITE UNICITY-OF-0))
 (259 259 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (256 42 (:DEFINITION STRIP-CARS))
 (249 29 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (239 27 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (217 32 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (211 211 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (208 52 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (188 12 (:REWRITE VALID-SEQP-WHEN-PREFIXP))
 (186 79 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (181 37 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (176 176 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (170 170 (:REWRITE CAR-OF-NTHCDR))
 (166 166 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (164 164 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (158 158 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (157 157 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (155 43 (:REWRITE MEMBER-WHEN-ATOM))
 (145 21 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (140 44 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (137 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-9))
 (134 134 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (132 132 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (132 84 (:REWRITE CONSP-OF-STRIP-CARS))
 (132 2 (:REWRITE TAKE-OF-BINARY-APPEND-1))
 (128 2 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (112 6 (:REWRITE MEMBER-OF-STRIP-CARS))
 (104 19 (:REWRITE CAR-OF-APPEND))
 (96 96 (:TYPE-PRESCRIPTION M1-FILE-P))
 (94 4 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (87 87 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (87 3 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (75 75 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (74 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (72 19 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (72 4 (:REWRITE FRAME-ADDRS-ROOT-CORRECTNESS-2))
 (68 68 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (67 67 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (66 29 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (65 13 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (65 4 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (64 2 (:DEFINITION PUT-ASSOC-EQUAL))
 (61 3 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (61 3 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (59 13 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (58 6 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (58 4 (:REWRITE HIFAT-OPENDIR-CORRECTNESS-LEMMA-2))
 (58 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (56 56 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (55 21 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (53 53 (:REWRITE FOLD-CONSTS-IN-+))
 (52 52 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (52 52 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (52 24 (:TYPE-PRESCRIPTION FINAL-VAL-SEQ-OF-COLLAPSE-THIS-LEMMA-7))
 (52 13 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (48 6 (:REWRITE SUBSETP-OF-REMOVE2))
 (47 11 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (45 5 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (44 44 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (44 4 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (43 43 (:REWRITE SUBSETP-MEMBER . 4))
 (43 43 (:REWRITE SUBSETP-MEMBER . 3))
 (43 43 (:REWRITE SUBSETP-MEMBER . 2))
 (43 43 (:REWRITE SUBSETP-MEMBER . 1))
 (43 43 (:REWRITE INTERSECTP-MEMBER . 3))
 (43 43 (:REWRITE INTERSECTP-MEMBER . 2))
 (42 14 (:REWRITE ABS-FIND-FILE-HELPER-OF-FAT32-FILENAME-LIST-FIX))
 (42 2 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (42 2 (:REWRITE DISTRIBUTIVITY-OF-MINUS-OVER-+))
 (40 40 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (39 2 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (38 29 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-11))
 (38 22 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 1))
 (36 36 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (36 4 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-2))
 (36 4 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (36 4 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-EQUAL))
 (35 17 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (34 34 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (33 29 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (30 30 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (30 30 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (30 30 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (30 10 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (30 8 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (28 28 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (28 10 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (26 4 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (25 25 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-41))
 (25 4 (:REWRITE LIST-EQUIV-OF-APPEND-AND-APPEND))
 (24 24 (:TYPE-PRESCRIPTION VALID-SEQP))
 (24 4 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (22 2 (:REWRITE ABS-FS-P-OF-REMOVE))
 (20 20 (:TYPE-PRESCRIPTION DIST-NAMES))
 (20 10 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (20 6 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (19 15 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (18 6 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (18 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (18 6 (:LINEAR NTH-WHEN-D-E-P))
 (17 17 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-29))
 (17 17 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-28))
 (16 16 (:TYPE-PRESCRIPTION FRAME-VAL))
 (16 2 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (16 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (14 14 (:TYPE-PRESCRIPTION ZP))
 (14 6 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (14 2 (:REWRITE STRIP-CARS-OF-REMOVE-ASSOC))
 (12 12 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (12 4 (:REWRITE LIST-EQUIV-OF-NIL-LEFT))
 (12 2 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (10 2 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (9 3 (:REWRITE NTH-WHEN-D-E-P . 2))
 (9 3 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (8 1 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (7 7 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (6 6 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (6 6 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (6 6 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-31))
 (6 6 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (6 6 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (6 2 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-2))
 (6 2 (:REWRITE FRAME-VAL-OF-THE-DIR-FIELD))
 (6 2 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (6 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (4 4 (:REWRITE SUBSETP-OF-REMOVE))
 (4 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (4 4 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (4 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (3 3 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 1))
 (3 1 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION NULL))
 (2 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (2 2 (:DEFINITION NULL))
 (1 1 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (1 1 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (1 1 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-46
 (2575 44 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (2487 192 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (1996 14 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-4))
 (1824 8 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1455 8 (:REWRITE SUBSETP-CAR-MEMBER))
 (1425 56 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1341 8 (:REWRITE SUBSETP-OF-REMOVE1))
 (1183 113 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (930 117 (:DEFINITION ASSOC-EQUAL))
 (859 6 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (840 410 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (835 22 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (665 264 (:REWRITE DEFAULT-CDR))
 (584 22 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (557 539 (:REWRITE DEFAULT-CAR))
 (521 10 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (461 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (432 44 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (414 414 (:TYPE-PRESCRIPTION FRAME-P))
 (322 322 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (285 3 (:REWRITE PATH-CLEAR-OF-REMOVE-ASSOC-2))
 (265 6 (:REWRITE MEMBER-OF-STRIP-CARS))
 (219 4 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (204 32 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (190 4 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (174 174 (:TYPE-PRESCRIPTION STRIP-CARS))
 (166 2 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (161 161 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (158 2 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (148 148 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (144 26 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (138 8 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (134 20 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (128 128 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (128 4 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (126 2 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (118 6 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (113 113 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (113 113 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (113 113 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (113 113 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (112 4 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (106 3 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (101 56 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (99 4 (:REWRITE DIST-NAMES-OF-CTX-APP))
 (98 98 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (94 94 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (94 26 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (92 28 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (89 4 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (72 58 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (72 18 (:DEFINITION STRIP-CARS))
 (71 4 (:REWRITE FRAME-ADDRS-ROOT-CORRECTNESS-2))
 (68 4 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (63 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (62 44 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (58 58 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (57 7 (:DEFINITION LEN))
 (56 56 (:TYPE-PRESCRIPTION LEN))
 (50 8 (:DEFINITION NATP))
 (49 49 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (48 8 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (48 4 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (46 46 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (45 8 (:REWRITE DIST-NAMES-OF-REMOVE-ASSOC-1))
 (45 4 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (44 4 (:REWRITE HIFAT-OPENDIR-CORRECTNESS-LEMMA-2))
 (43 4 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (40 16 (:REWRITE MEMBER-WHEN-ATOM))
 (40 6 (:REWRITE SUBSETP-OF-REMOVE2))
 (40 2 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-2))
 (36 4 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-EQUAL))
 (34 34 (:TYPE-PRESCRIPTION NATP))
 (34 2 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (32 1 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (30 6 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (28 28 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (26 26 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (26 26 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (26 14 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (24 24 (:REWRITE CONSP-OF-STRIP-CARS))
 (24 4 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (24 4 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (23 23 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (23 2 (:REWRITE ASSOC-AFTER-REMOVE-ASSOC))
 (22 22 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (22 12 (:REWRITE DEFAULT-<-2))
 (22 8 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (22 4 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (22 2 (:REWRITE ABS-FS-P-OF-REMOVE))
 (21 7 (:REWRITE DEFAULT-+-2))
 (20 20 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (20 14 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (20 6 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (18 18 (:REWRITE SUBSETP-TRANS2))
 (18 18 (:REWRITE SUBSETP-TRANS))
 (16 16 (:TYPE-PRESCRIPTION SET-EQUIV))
 (16 16 (:REWRITE SUBSETP-MEMBER . 4))
 (16 16 (:REWRITE SUBSETP-MEMBER . 3))
 (16 16 (:REWRITE SUBSETP-MEMBER . 2))
 (16 16 (:REWRITE SUBSETP-MEMBER . 1))
 (16 16 (:REWRITE INTERSECTP-MEMBER . 3))
 (16 16 (:REWRITE INTERSECTP-MEMBER . 2))
 (16 16 (:REWRITE 1ST-COMPLETE-OF-REMOVE-ASSOC-1))
 (16 10 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (16 8 (:REWRITE SET-EQUIV-ASYM))
 (15 15 (:TYPE-PRESCRIPTION NAMES-AT))
 (15 3 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (14 6 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (14 4 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (12 12 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (12 12 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (12 12 (:REWRITE DEFAULT-<-1))
 (10 2 (:REWRITE STRIP-CARS-OF-REMOVE-ASSOC))
 (10 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (8 4 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (8 4 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (8 1 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (7 7 (:REWRITE DEFAULT-+-1))
 (6 6 (:REWRITE SUBSETP-OF-CDR))
 (6 6 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-31))
 (6 4 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (6 4 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (6 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (6 2 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (6 2 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (5 5 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (5 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (5 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (5 1 (:REWRITE NFIX-WHEN-NATP))
 (5 1 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (5 1 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (5 1 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-2))
 (5 1 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 2))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (4 4 (:REWRITE SUBSETP-REFL))
 (4 4 (:REWRITE SUBSETP-OF-REMOVE))
 (4 4 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (4 4 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (4 4 (:LINEAR LEN-WHEN-PREFIXP))
 (4 4 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (4 1 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (4 1 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (3 3 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (3 3 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (3 3 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (3 3 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-41))
 (3 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-3))
 (2 2 (:TYPE-PRESCRIPTION NFIX))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (2 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (2 2 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (1 1 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 1))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-47
 (4528 117 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (2298 46 (:REWRITE SUBSETP-MEMBER . 4))
 (2279 54 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1534 34 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1110 69 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (969 10 (:REWRITE FRAME-ADDRS-ROOT-CORRECTNESS-2))
 (961 28 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (883 69 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (759 73 (:DEFINITION ASSOC-EQUAL))
 (691 16 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (662 8 (:REWRITE MEMBER-OF-STRIP-CARS))
 (607 18 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (434 7 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (428 47 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (416 69 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (381 4 (:REWRITE ABS-ADDRS-OF-REMOVE))
 (380 354 (:REWRITE DEFAULT-CAR))
 (340 3 (:REWRITE MEMBER-OF-ABS-TOP-ADDRS))
 (313 38 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (312 64 (:REWRITE SUBSETP-MEMBER . 2))
 (271 271 (:TYPE-PRESCRIPTION STRIP-CARS))
 (253 107 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (252 32 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (251 112 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (246 67 (:REWRITE SUBSETP-TRANS2))
 (216 18 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (207 207 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (196 163 (:REWRITE DEFAULT-CDR))
 (196 7 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (192 192 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (185 10 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (184 61 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (175 7 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (172 40 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (151 61 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (148 37 (:REWRITE MEMBER-WHEN-ATOM))
 (132 5 (:REWRITE ABS-FS-P-OF-REMOVE))
 (129 61 (:REWRITE SUBSETP-TRANS))
 (121 22 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (114 5 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-EQUAL))
 (112 112 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (101 11 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (98 7 (:REWRITE ABS-ADDRS-WHEN-ABSFAT-EQUIV-LEMMA-1))
 (96 24 (:DEFINITION STRIP-CARS))
 (89 89 (:TYPE-PRESCRIPTION ABS-FS-P))
 (87 11 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (86 86 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (81 81 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (77 7 (:REWRITE SUBSETP-CAR-MEMBER))
 (70 10 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (69 69 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (69 69 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (69 69 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (69 69 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (64 64 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (64 2 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (62 62 (:REWRITE SUBSETP-MEMBER . 1))
 (55 7 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (49 7 (:DEFINITION NATP))
 (46 46 (:REWRITE INTERSECTP-MEMBER . 3))
 (46 46 (:REWRITE INTERSECTP-MEMBER . 2))
 (43 8 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (42 21 (:REWRITE SET-EQUIV-ASYM))
 (42 3 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (40 40 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (39 39 (:REWRITE CONSP-OF-STRIP-CARS))
 (38 11 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (35 35 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (35 7 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (34 2 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (34 2 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (30 30 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (30 30 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (25 25 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (24 24 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (24 2 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (22 22 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (21 21 (:TYPE-PRESCRIPTION SET-EQUIV))
 (20 10 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (18 2 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-2))
 (17 17 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (17 1 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (14 14 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (14 14 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (12 4 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (12 2 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (12 2 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (10 10 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (10 10 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (10 10 (:REWRITE ABS-NO-DUPS-P-OF-FRAME->ROOT))
 (9 9 (:REWRITE 1ST-COMPLETE-OF-REMOVE-ASSOC-1))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (8 2 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (7 7 (:REWRITE SUBSETP-OF-CDR))
 (7 7 (:REWRITE DEFAULT-<-2))
 (7 7 (:REWRITE DEFAULT-<-1))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (4 2 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (4 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (3 3 (:TYPE-PRESCRIPTION FRAME-VAL))
 (2 2 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (2 2 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2 1 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (2 1 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-48
 (2972217 70 (:DEFINITION COLLAPSE))
 (2123300 40691 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (2118390 9137 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (1744439 28661 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (1611322 24530 (:REWRITE LEN-WHEN-PREFIXP))
 (1247390 63295 (:DEFINITION LEN))
 (1222297 1464 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (1153543 132 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (1118423 33 (:REWRITE EQUAL-OF-FRAME-VAL))
 (1063463 23878 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1027757 108977 (:REWRITE DEFAULT-CDR))
 (747442 37675 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (650397 24869 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (576787 23 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (508572 13114 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (495893 291 (:DEFINITION PATH-CLEAR))
 (463096 9 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (462070 9 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 1))
 (458687 139 (:REWRITE SUBSETP-CAR-MEMBER))
 (453399 21 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-3))
 (444883 99431 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (444388 21730 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (436107 145 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (376272 1259 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (365150 365150 (:TYPE-PRESCRIPTION LEN))
 (271989 294 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (217425 17 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (210899 120 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (206544 728 (:REWRITE CONSP-OF-NTHCDR))
 (193760 62 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-4))
 (193613 64152 (:REWRITE DEFAULT-+-2))
 (134542 46022 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (130518 39145 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (125664 48 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-11))
 (114571 62 (:REWRITE PATH-CLEAR-OF-REMOVE-ASSOC-1))
 (103684 1747 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (103661 5241 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (100326 100326 (:LINEAR LEN-WHEN-PREFIXP))
 (92518 39145 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (88391 822 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (85690 25746 (:REWRITE DEFAULT-<-2))
 (84022 62082 (:REWRITE DEFAULT-CAR))
 (81968 135 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-3))
 (79739 32 (:REWRITE PATH-CLEAR-OF-REMOVE-ASSOC-OF-FRAME->FRAME))
 (77875 25746 (:REWRITE DEFAULT-<-1))
 (77823 2430 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (70278 29044 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (64736 64152 (:REWRITE DEFAULT-+-1))
 (49200 3958 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (46838 46838 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (45013 8665 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (43792 39 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (39051 899 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (38838 19094 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (32944 25904 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (30897 30897 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (30897 30897 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (30897 30897 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (30897 30897 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (30263 2430 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (29867 37 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-LEMMA-2))
 (27943 9191 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (27911 16 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (25416 48 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (23111 16 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (21917 8027 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (21233 51 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (17353 2057 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (17261 1162 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (15165 183 (:REWRITE LEN-OF-NTHCDR))
 (14196 42 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (13802 123 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-1))
 (13453 671 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (13014 111 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (12955 4793 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (12877 2430 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (11780 100 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (11653 1299 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (11258 174 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (11201 74 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (10804 5402 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (9191 9191 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (9122 292 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (8934 8934 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (8862 6246 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (8842 6246 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (8834 8834 (:REWRITE SUBSETP-TRANS2))
 (8834 8834 (:REWRITE SUBSETP-TRANS))
 (8721 322 (:DEFINITION NATP))
 (8321 7223 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (8041 4855 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (8027 8027 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (8027 8027 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (8027 8027 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (7873 4855 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (7868 7868 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (7338 7338 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (6951 52 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (6934 6934 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (6510 2696 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6112 1240 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (6065 22 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (5953 60 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (5220 2610 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (4346 181 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (4280 2140 (:REWRITE SET-EQUIV-ASYM))
 (4200 186 (:DEFINITION TRUE-LISTP))
 (4041 6 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (3988 1 (:REWRITE ABS-MKDIR-GUARD-LEMMA-1))
 (3596 148 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (3444 1755 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (3442 1483 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (3388 3388 (:TYPE-PRESCRIPTION NAMES-AT))
 (3122 15 (:REWRITE DIST-NAMES-OF-CTX-APP))
 (3086 74 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (2937 186 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (2634 1483 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (2588 2588 (:REWRITE SUBSETP-REFL))
 (2345 2345 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2332 1162 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (2325 372 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (2319 2319 (:TYPE-PRESCRIPTION STRIP-CARS))
 (2140 2140 (:TYPE-PRESCRIPTION SET-EQUIV))
 (2140 2140 (:REWRITE SUBSETP-OF-CDR))
 (1972 1972 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (1813 389 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (1799 66 (:DEFINITION PUT-ASSOC-EQUAL))
 (1654 1654 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1652 822 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (1640 1259 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (1619 394 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1562 278 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (1548 277 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1424 1424 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (1360 852 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (1203 123 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-2))
 (1178 286 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (1145 21 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-22))
 (1136 1136 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (1092 74 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (1011 337 (:REWRITE COMMUTATIVITY-OF-+))
 (1008 168 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (987 327 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (930 930 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (930 372 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (840 112 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (837 186 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (784 784 (:TYPE-PRESCRIPTION CTX-APP))
 (771 771 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (767 183 (:REWRITE DEFAULT-UNARY-MINUS))
 (744 3 (:REWRITE NAMES-AT-OF-CTX-APP))
 (720 180 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (712 24 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (677 34 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (620 74 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (606 606 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (600 600 (:TYPE-PRESCRIPTION NATP))
 (596 156 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (594 21 (:REWRITE ABS-ADDRS-OF-REMOVE))
 (588 21 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (588 21 (:REWRITE ABS-FS-P-OF-REMOVE))
 (558 558 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (558 558 (:TYPE-PRESCRIPTION D-E-P))
 (558 279 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (557 557 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (511 333 (:REWRITE CONSP-OF-STRIP-CARS))
 (504 56 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (495 15 (:REWRITE ABS-SEPARATE-CORRECTNESS-1-LEMMA-15))
 (480 12 (:REWRITE DIST-NAMES-OF-REMOVE-ASSOC-1))
 (464 4 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX))
 (439 139 (:REWRITE MEMBER-WHEN-ATOM))
 (435 87 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 2))
 (433 433 (:REWRITE CONSP-OF-LIST-FIX))
 (432 9 (:REWRITE CTX-APP-OK-OF-CTX-APP-LIST-SEQ-LEMMA-1))
 (420 21 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-EQUAL))
 (394 394 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (372 372 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (372 186 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (364 364 (:TYPE-PRESCRIPTION ZP))
 (364 56 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE-ASSOC))
 (348 348 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (344 344 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-41))
 (303 9 (:REWRITE VALID-SEQP-WHEN-PREFIXP))
 (279 279 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (279 279 (:REWRITE SET::IN-SET))
 (278 278 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (273 273 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (273 273 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (273 273 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (273 273 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (273 273 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (273 273 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (273 273 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (273 273 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (273 273 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (273 273 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (273 273 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (273 273 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (260 13 (:DEFINITION FRAME-ADDRS-ROOT))
 (235 101 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (210 42 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (186 186 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (183 183 (:REWRITE CAR-OF-NTHCDR))
 (168 168 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (168 21 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (160 160 (:REWRITE SUBSETP-MEMBER . 4))
 (160 160 (:REWRITE SUBSETP-MEMBER . 3))
 (160 160 (:REWRITE SUBSETP-MEMBER . 2))
 (160 160 (:REWRITE SUBSETP-MEMBER . 1))
 (160 160 (:REWRITE INTERSECTP-MEMBER . 3))
 (160 160 (:REWRITE INTERSECTP-MEMBER . 2))
 (153 153 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (153 153 (:REWRITE INTERSECTP-MEMBER . 1))
 (152 40 (:REWRITE FRAME-VAL-OF-THE-DIR-FIELD))
 (139 139 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (129 3 (:REWRITE ABS-NO-DUPS-P-OF-CTX-APP))
 (107 107 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (103 6 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (102 18 (:TYPE-PRESCRIPTION FINAL-VAL-SEQ-OF-COLLAPSE-THIS-LEMMA-7))
 (90 8 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (84 42 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (78 13 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (76 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-32))
 (67 4 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (66 66 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (59 59 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (52 52 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (51 15 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (46 46 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (43 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (40 16 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (39 39 (:REWRITE ABS-NO-DUPS-P-OF-FRAME-VAL->DIR))
 (38 38 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (37 37 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (37 37 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (35 35 (:TYPE-PRESCRIPTION M1-FILE-P))
 (33 33 (:TYPE-PRESCRIPTION FRAME-VAL-P))
 (33 33 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (32 8 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (31 31 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (24 4 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (24 4 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (23 23 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (23 13 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (20 4 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (20 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-11))
 (18 18 (:TYPE-PRESCRIPTION VALID-SEQP))
 (16 4 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-32))
 (15 3 (:REWRITE FRAME-WITH-ROOT-OF-ABS-FS-FIX))
 (12 12 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (12 12 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (12 4 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (11 5 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (11 4 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 1))
 (10 10 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (10 10 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (9 3 (:REWRITE CTX-APP-OF-ABS-FS-FIX-1))
 (8 8 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (8 2 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (8 1 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-29))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-28))
 (5 5 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (4 4 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (3 1 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (2 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (2 2 (:REWRITE ABS-TOP-ADDRS-OF-ABS-FS-FIX))
 (2 2 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (2 2 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 (1 1 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE))
 (1 1 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (1 1 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-49
 (38455 475 (:REWRITE LEN-WHEN-PREFIXP))
 (37718 774 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (32165 5 (:REWRITE PATH-CLEAR-OF-REMOVE-ASSOC-1))
 (24597 277 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (13239 1731 (:DEFINITION LEN))
 (11292 734 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (10428 1780 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6128 475 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (5215 1753 (:REWRITE DEFAULT-+-2))
 (3650 1370 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (3150 2797 (:REWRITE DEFAULT-CDR))
 (3032 10 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-1))
 (2013 284 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (2010 744 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (1780 1780 (:LINEAR LEN-WHEN-PREFIXP))
 (1753 1753 (:REWRITE DEFAULT-+-1))
 (1700 850 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1659 465 (:REWRITE DEFAULT-<-2))
 (1580 465 (:REWRITE DEFAULT-<-1))
 (1564 170 (:DEFINITION ASSOC-EQUAL))
 (1557 1409 (:REWRITE DEFAULT-CAR))
 (1536 149 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (1385 6 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-4))
 (1341 53 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1244 11 (:DEFINITION NTHCDR))
 (1122 30 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (1103 7 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1020 1020 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (1020 744 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (980 10 (:REWRITE CONSP-OF-NTHCDR))
 (754 7 (:REWRITE SUBSETP-CAR-MEMBER))
 (713 680 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (701 455 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (681 681 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (675 101 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (671 455 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (664 4 (:REWRITE SUBSETP-OF-REMOVE1))
 (600 40 (:DEFINITION TRUE-LISTP))
 (525 525 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (525 525 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (525 525 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (525 525 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (488 464 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (480 40 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (440 220 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (440 40 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (433 247 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (433 6 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (430 247 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (422 44 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (418 14 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (410 410 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (385 11 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (380 80 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (367 4 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (329 14 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (262 262 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (259 259 (:REWRITE SUBSETP-TRANS2))
 (259 259 (:REWRITE SUBSETP-TRANS))
 (228 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (224 7 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (223 32 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (222 8 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (220 220 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (203 7 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (200 80 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (192 6 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (188 188 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (160 160 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (160 18 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (149 149 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (149 149 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (149 149 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (148 148 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (145 145 (:TYPE-PRESCRIPTION STRIP-CARS))
 (130 130 (:REWRITE CONSP-OF-LIST-FIX))
 (130 38 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (129 129 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (126 3 (:REWRITE MEMBER-OF-STRIP-CARS))
 (122 22 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (120 120 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (120 120 (:TYPE-PRESCRIPTION D-E-P))
 (120 60 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (120 60 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (120 60 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (120 2 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (109 19 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (108 108 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (105 1 (:DEFINITION PUT-ASSOC-EQUAL))
 (104 104 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (102 6 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (100 50 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (94 10 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-2))
 (93 1 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (89 8 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (88 25 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (83 7 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-2))
 (83 1 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (80 80 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (74 56 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (72 12 (:DEFINITION STRIP-CARS))
 (72 6 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (70 44 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (64 1 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (60 60 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (60 60 (:REWRITE SET::IN-SET))
 (60 30 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (56 56 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (51 7 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (46 46 (:TYPE-PRESCRIPTION ABS-FS-P))
 (46 7 (:DEFINITION NATP))
 (44 16 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (44 8 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (40 40 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (38 38 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (38 38 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (36 6 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (36 6 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (34 8 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (33 21 (:REWRITE CONSP-OF-STRIP-CARS))
 (33 11 (:REWRITE COMMUTATIVITY-OF-+))
 (33 2 (:REWRITE FRAME-ADDRS-ROOT-CORRECTNESS-2))
 (32 11 (:REWRITE MEMBER-WHEN-ATOM))
 (30 30 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (30 30 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (30 30 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (29 29 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (26 26 (:TYPE-PRESCRIPTION NATP))
 (26 26 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (25 25 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (24 4 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (22 2 (:REWRITE HIFAT-OPENDIR-CORRECTNESS-LEMMA-2))
 (21 21 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (21 6 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (21 2 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (20 20 (:REWRITE PREFIXP-REFLEXIVE))
 (20 3 (:REWRITE SUBSETP-OF-REMOVE2))
 (19 19 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (18 2 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-EQUAL))
 (17 1 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (16 16 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (15 15 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (14 14 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (14 14 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (14 14 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (14 14 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (14 14 (:REWRITE 1ST-COMPLETE-OF-REMOVE-ASSOC-1))
 (14 7 (:REWRITE SET-EQUIV-ASYM))
 (12 12 (:REWRITE SUBSETP-REFL))
 (12 6 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (12 4 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (12 4 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (11 11 (:TYPE-PRESCRIPTION SET-EQUIV))
 (11 11 (:REWRITE SUBSETP-MEMBER . 4))
 (11 11 (:REWRITE SUBSETP-MEMBER . 3))
 (11 11 (:REWRITE SUBSETP-MEMBER . 2))
 (11 11 (:REWRITE SUBSETP-MEMBER . 1))
 (11 11 (:REWRITE INTERSECTP-MEMBER . 3))
 (11 11 (:REWRITE INTERSECTP-MEMBER . 2))
 (11 1 (:REWRITE ABS-FS-P-OF-REMOVE))
 (10 3 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (8 8 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (8 6 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (8 4 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (8 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (7 3 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (6 6 (:TYPE-PRESCRIPTION FRAME-VAL))
 (6 6 (:REWRITE SUBSETP-OF-CDR))
 (6 6 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (6 4 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (5 1 (:REWRITE STRIP-CARS-OF-REMOVE-ASSOC))
 (5 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (4 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (4 4 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (4 4 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (3 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-31))
 (3 3 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (3 1 (:REWRITE FRAME-VAL-OF-THE-DIR-FIELD))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (2 2 (:REWRITE SUBSETP-OF-REMOVE))
 (1 1 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-50
 (35581 559 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (34068 458 (:REWRITE LEN-WHEN-PREFIXP))
 (33780 470 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (22763 451 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (19216 4 (:REWRITE PATH-CLEAR-OF-REMOVE-ASSOC-1))
 (19168 830 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (18463 29 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (17783 1 (:REWRITE ABS-FIND-FILE-HELPER-OF-CTX-APP))
 (12579 14 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (10175 8 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (9009 1776 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (7893 668 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (7069 459 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (5805 2636 (:REWRITE DEFAULT-CDR))
 (5189 1734 (:REWRITE DEFAULT-+-2))
 (3586 1381 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (3108 13 (:REWRITE CONSP-OF-NTHCDR))
 (2790 691 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (1841 1841 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (1815 277 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1802 523 (:REWRITE DEFAULT-<-2))
 (1786 1786 (:LINEAR LEN-WHEN-PREFIXP))
 (1776 6 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-1))
 (1745 1734 (:REWRITE DEFAULT-+-1))
 (1684 16 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (1627 523 (:REWRITE DEFAULT-<-1))
 (1458 687 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1428 714 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1307 6 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-4))
 (1210 1076 (:REWRITE DEFAULT-CAR))
 (1160 50 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1139 138 (:DEFINITION ASSOC-EQUAL))
 (1130 691 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1002 41 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (1000 8 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (948 200 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (888 14 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (854 28 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (828 106 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (786 480 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (711 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-9))
 (701 304 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (664 664 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (660 44 (:DEFINITION TRUE-LISTP))
 (594 8 (:REWRITE SUBSETP-CAR-MEMBER))
 (586 10 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (569 52 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (565 31 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (559 559 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (559 559 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (559 559 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (559 559 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (486 46 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (463 4 (:REWRITE SUBSETP-OF-REMOVE1))
 (426 241 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (425 425 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (425 129 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (421 241 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (418 119 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (418 88 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (360 180 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (341 341 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (339 28 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (332 46 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (323 323 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (318 302 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (294 10 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (287 15 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (268 8 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (264 25 (:DEFINITION NATP))
 (258 258 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (250 250 (:REWRITE SUBSETP-TRANS2))
 (250 250 (:REWRITE SUBSETP-TRANS))
 (244 244 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (241 241 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (234 234 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (222 2 (:REWRITE LEN-OF-NTHCDR))
 (220 88 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (218 1 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (210 60 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (191 10 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (189 18 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (187 16 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (176 59 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (163 67 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (161 28 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (160 67 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (149 149 (:TYPE-PRESCRIPTION STRIP-CARS))
 (137 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (136 61 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (135 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (133 10 (:REWRITE CTX-APP-OK-OF-CTX-APP-LIST-SEQ-LEMMA-1))
 (132 132 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (132 132 (:TYPE-PRESCRIPTION D-E-P))
 (132 66 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (128 10 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (125 125 (:REWRITE CONSP-OF-LIST-FIX))
 (119 119 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (113 113 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (108 52 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (96 14 (:DEFINITION STRIP-CARS))
 (92 5 (:REWRITE VALID-SEQP-WHEN-PREFIXP))
 (91 14 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (88 88 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (85 85 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (84 24 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (66 66 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (66 66 (:REWRITE SET::IN-SET))
 (64 36 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (62 8 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (60 60 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (60 60 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (60 60 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (59 59 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (59 59 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (58 6 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-2))
 (57 15 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (56 3 (:REWRITE MEMBER-OF-STRIP-CARS))
 (51 51 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (47 12 (:REWRITE COMMUTATIVITY-OF-+))
 (46 46 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (46 14 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (46 2 (:DEFINITION NFIX))
 (43 23 (:REWRITE CONSP-OF-STRIP-CARS))
 (42 2 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (41 13 (:REWRITE MEMBER-WHEN-ATOM))
 (39 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (36 36 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (36 2 (:REWRITE FRAME-ADDRS-ROOT-CORRECTNESS-2))
 (33 33 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (32 14 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (32 8 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (32 1 (:DEFINITION PUT-ASSOC-EQUAL))
 (30 30 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (30 15 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (30 6 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (30 6 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (30 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (29 10 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (29 2 (:REWRITE HIFAT-OPENDIR-CORRECTNESS-LEMMA-2))
 (27 3 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (26 26 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (26 26 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (24 24 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (24 3 (:REWRITE SUBSETP-OF-REMOVE2))
 (22 22 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (21 10 (:TYPE-PRESCRIPTION FINAL-VAL-SEQ-OF-COLLAPSE-THIS-LEMMA-7))
 (20 4 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (19 19 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (19 19 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (19 19 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (19 2 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (18 6 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (18 2 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (18 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (17 17 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (17 2 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (16 10 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 1))
 (16 8 (:REWRITE SET-EQUIV-ASYM))
 (15 4 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (15 3 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 2))
 (14 14 (:REWRITE PREFIXP-REFLEXIVE))
 (14 1 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (13 13 (:REWRITE SUBSETP-MEMBER . 4))
 (13 13 (:REWRITE SUBSETP-MEMBER . 3))
 (13 13 (:REWRITE SUBSETP-MEMBER . 2))
 (13 13 (:REWRITE SUBSETP-MEMBER . 1))
 (13 13 (:REWRITE INTERSECTP-MEMBER . 3))
 (13 13 (:REWRITE INTERSECTP-MEMBER . 2))
 (13 13 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (13 13 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (13 13 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (13 2 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (12 12 (:TYPE-PRESCRIPTION SET-EQUIV))
 (12 12 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (12 12 (:TYPE-PRESCRIPTION DIST-NAMES))
 (12 3 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (11 1 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (10 10 (:TYPE-PRESCRIPTION VALID-SEQP))
 (10 10 (:TYPE-PRESCRIPTION FRAME-VAL))
 (10 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (10 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-11))
 (9 9 (:REWRITE SUBSETP-REFL))
 (9 4 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (8 8 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (8 8 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (8 1 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (8 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (7 7 (:REWRITE SUBSETP-OF-CDR))
 (7 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-41))
 (7 3 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (7 1 (:REWRITE STRIP-CARS-OF-REMOVE-ASSOC))
 (6 6 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (6 6 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (6 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (6 1 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (6 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (6 1 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (5 3 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (5 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (5 1 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (4 4 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (4 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (4 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (3 3 (:TYPE-PRESCRIPTION ZP))
 (3 3 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-31))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-29))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-28))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (3 1 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-2))
 (3 1 (:REWRITE FRAME-VAL-OF-THE-DIR-FIELD))
 (3 1 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (2 2 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (2 2 (:REWRITE SUBSETP-OF-REMOVE))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (2 2 (:REWRITE CAR-OF-NTHCDR))
 (2 2 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (2 1 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1 1 (:TYPE-PRESCRIPTION NULL))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (1 1 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (1 1 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (1 1 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (1 1 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 (1 1 (:DEFINITION NULL))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-51
 (5378 604 (:DEFINITION ASSOC-EQUAL))
 (5279 168 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (5252 9 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (5175 1397 (:REWRITE DEFAULT-CDR))
 (4651 35 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (4292 62 (:REWRITE LEN-WHEN-PREFIXP))
 (4203 108 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (3360 108 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (3251 63 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (3243 64 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (3182 20 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (2913 65 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (2464 140 (:DEFINITION LEN))
 (2440 1145 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (2289 2196 (:REWRITE DEFAULT-CAR))
 (2239 71 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (1967 8 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (1885 62 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1744 4 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (1596 53 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (1452 23 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (1422 1398 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1141 1141 (:TYPE-PRESCRIPTION LEN))
 (1099 54 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (954 63 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (952 28 (:REWRITE EQUAL-OF-FRAME-VAL))
 (920 920 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (858 58 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (810 64 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (804 225 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (774 214 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (628 53 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (533 4 (:REWRITE CONSP-OF-NTHCDR))
 (520 144 (:REWRITE DEFAULT-<-2))
 (511 51 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-2))
 (506 172 (:REWRITE DEFAULT-+-2))
 (407 70 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (407 48 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (383 383 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (379 144 (:REWRITE DEFAULT-<-1))
 (329 107 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (306 107 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (299 53 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (279 279 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (261 261 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (258 258 (:LINEAR LEN-WHEN-PREFIXP))
 (258 258 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (252 28 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (247 247 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (240 240 (:TYPE-PRESCRIPTION PREFIXP))
 (225 225 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (225 225 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (225 225 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (222 55 (:REWRITE NFIX-WHEN-NATP))
 (220 220 (:TYPE-PRESCRIPTION ABS-PLACE-FILE-HELPER-OF-APPEND-LEMMA-2))
 (214 214 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (214 41 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (206 64 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (205 64 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (200 200 (:TYPE-PRESCRIPTION NATP-OF-ABS-PLACE-FILE-HELPER))
 (176 172 (:REWRITE DEFAULT-+-1))
 (149 149 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (145 129 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (145 58 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (139 1 (:REWRITE LEN-OF-NTHCDR))
 (136 34 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (125 125 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (115 115 (:TYPE-PRESCRIPTION NATP))
 (107 107 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (107 107 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (106 106 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (102 28 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (96 96 (:TYPE-PRESCRIPTION FRAME-VAL))
 (76 35 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (64 64 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (64 64 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (64 64 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (64 64 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (57 28 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (57 1 (:DEFINITION NATP))
 (56 56 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (49 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (48 48 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (38 17 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (35 35 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (35 35 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (35 1 (:DEFINITION NFIX))
 (34 17 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (33 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (30 24 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (28 28 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (27 9 (:REWRITE COMMUTATIVITY-OF-+))
 (26 26 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (26 26 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (26 13 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (25 1 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (24 24 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (22 22 (:TYPE-PRESCRIPTION ZP))
 (22 22 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (21 17 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (20 20 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (20 20 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (20 20 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (20 20 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (20 20 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (17 17 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (17 9 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (17 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-26))
 (17 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (16 11 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (16 3 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (14 14 (:TYPE-PRESCRIPTION NFIX))
 (13 7 (:REWRITE FRAME-VAL-OF-THE-DIR-FIELD))
 (13 2 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (12 12 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (11 11 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (9 3 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (9 1 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (8 4 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (7 3 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (5 5 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (5 1 (:REWRITE DEFAULT-UNARY-MINUS))
 (3 3 (:REWRITE-QUOTED-CONSTANT ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (3 1 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (3 1 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (3 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (2 1 (:REWRITE SET-EQUIV-ASYM))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:REWRITE SUBSETP-TRANS2))
 (1 1 (:REWRITE SUBSETP-TRANS))
 (1 1 (:REWRITE SUBSETP-REFL))
 (1 1 (:REWRITE SUBSETP-OF-CDR))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (1 1 (:REWRITE CAR-OF-NTHCDR))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-52
 (20798 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (18341 41 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (15155 290 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (12707 221 (:REWRITE LEN-WHEN-PREFIXP))
 (10884 48 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (10744 290 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (9380 313 (:DEFINITION LEN))
 (9311 222 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (9286 611 (:REWRITE DEFAULT-CDR))
 (9059 216 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (6702 222 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (6166 221 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4029 159 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2915 227 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (2706 18 (:REWRITE CONSP-OF-NTHCDR))
 (2228 8 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (1176 288 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1083 343 (:REWRITE DEFAULT-+-2))
 (1016 290 (:REWRITE DEFAULT-<-2))
 (907 290 (:REWRITE DEFAULT-<-1))
 (849 216 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (849 216 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (813 813 (:TYPE-PRESCRIPTION PREFIXP))
 (740 740 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (698 698 (:LINEAR LEN-WHEN-PREFIXP))
 (698 698 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (650 10 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (574 324 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (564 78 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (526 18 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (509 44 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (495 6 (:REWRITE LEN-OF-NTHCDR))
 (486 84 (:REWRITE NFIX-WHEN-NATP))
 (476 16 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (462 63 (:DEFINITION ASSOC-EQUAL))
 (460 6 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (408 136 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (362 12 (:REWRITE SUBSETP-CAR-MEMBER))
 (361 343 (:REWRITE DEFAULT-+-1))
 (349 313 (:REWRITE DEFAULT-CAR))
 (341 341 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (328 32 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (314 15 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (302 302 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (288 288 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (288 288 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (280 16 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (276 139 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (241 15 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (240 21 (:DEFINITION NATP))
 (229 43 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (222 222 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (222 222 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (222 222 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (222 222 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (164 6 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 1))
 (162 6 (:DEFINITION NFIX))
 (140 10 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (133 15 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (132 12 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (126 126 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (121 15 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (120 6 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (100 16 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (97 9 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (93 30 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (92 4 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (91 55 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (89 44 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (84 18 (:DEFINITION STRIP-CARS))
 (66 6 (:REWRITE CTX-APP-OK-OF-CTX-APP-LIST-SEQ-LEMMA-1))
 (62 41 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (59 32 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (59 32 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (54 54 (:TYPE-PRESCRIPTION ABS-FS-P))
 (48 24 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (48 12 (:REWRITE MEMBER-WHEN-ATOM))
 (44 11 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (43 43 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (42 42 (:REWRITE SUBSETP-TRANS2))
 (42 42 (:REWRITE SUBSETP-TRANS))
 (41 41 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (41 41 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (38 16 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (36 18 (:REWRITE SET-EQUIV-ASYM))
 (35 17 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (32 32 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (32 32 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (30 30 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (30 6 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (27 9 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (24 24 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (24 12 (:TYPE-PRESCRIPTION FINAL-VAL-SEQ-OF-COLLAPSE-THIS-LEMMA-7))
 (24 12 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (24 6 (:REWRITE VALID-SEQP-WHEN-PREFIXP))
 (24 6 (:REWRITE DEFAULT-UNARY-MINUS))
 (24 3 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (18 18 (:TYPE-PRESCRIPTION SET-EQUIV))
 (18 18 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (18 18 (:REWRITE SUBSETP-OF-CDR))
 (18 9 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (18 6 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (16 16 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (14 7 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (12 12 (:TYPE-PRESCRIPTION VALID-SEQP))
 (12 12 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (12 12 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (12 12 (:REWRITE SUBSETP-MEMBER . 4))
 (12 12 (:REWRITE SUBSETP-MEMBER . 3))
 (12 12 (:REWRITE SUBSETP-MEMBER . 2))
 (12 12 (:REWRITE SUBSETP-MEMBER . 1))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 3))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 2))
 (12 6 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (12 3 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (11 11 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (11 11 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (11 11 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (11 11 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (9 9 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (9 9 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (9 6 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (9 6 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (9 3 (:REWRITE COMMUTATIVITY-OF-+))
 (6 6 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (6 6 (:REWRITE CAR-OF-NTHCDR))
 (6 6 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (5 2 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (4 4 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (3 3 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-53
 (19329 793 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (18796 266 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (17543 348 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (17512 505 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (17239 138 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (15084 421 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (12160 1126 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (7624 76 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (7421 351 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (7371 23 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (6904 260 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (6670 366 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (6455 183 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (5809 169 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (5493 40 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (4227 699 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (4039 366 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (3997 166 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (3777 280 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3444 86 (:REWRITE LEN-WHEN-PREFIXP))
 (3352 70 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (3064 1153 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2630 348 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (2508 348 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (2337 70 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (2198 97 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (2192 172 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (1749 241 (:DEFINITION LEN))
 (1611 149 (:DEFINITION ASSOC-EQUAL))
 (1572 198 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1396 172 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1292 280 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1245 97 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1244 1244 (:TYPE-PRESCRIPTION ABS-FS-P))
 (1216 86 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (1153 1153 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1084 793 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1029 297 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (984 984 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (926 86 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (879 70 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (866 866 (:REWRITE DEFAULT-CDR))
 (855 334 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (845 166 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (830 86 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (798 798 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (787 787 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (738 256 (:REWRITE DEFAULT-+-2))
 (719 70 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (705 172 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (690 17 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (681 64 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (666 666 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (660 132 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (619 619 (:REWRITE DEFAULT-CAR))
 (588 98 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (560 560 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (519 70 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (504 84 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (496 138 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (482 482 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (473 473 (:TYPE-PRESCRIPTION PREFIXP))
 (334 334 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (314 314 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (298 298 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (280 280 (:LINEAR LEN-WHEN-PREFIXP))
 (280 280 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (268 268 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (256 256 (:REWRITE DEFAULT-+-1))
 (255 31 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (250 95 (:REWRITE DEFAULT-<-1))
 (247 95 (:REWRITE DEFAULT-<-2))
 (242 80 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-52))
 (241 241 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (224 224 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (207 207 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (207 207 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (194 194 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (194 97 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (172 172 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (172 172 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (172 172 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (172 172 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (172 172 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (172 172 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (166 166 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (164 44 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (156 52 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (133 133 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (132 132 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (132 132 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (128 128 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (120 120 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (98 98 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (98 98 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (83 83 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (83 83 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (83 83 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (76 76 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (70 70 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (60 60 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (52 52 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (51 51 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (50 50 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-79))
 (44 44 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (44 44 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (44 44 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (43 43 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (42 42 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (40 40 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (40 40 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (34 17 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (17 17 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (15 15 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (3 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-11))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-28))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-54
 (8149 1 (:DEFINITION PATH-CLEAR))
 (6192 123 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (6071 60 (:REWRITE LEN-WHEN-PREFIXP))
 (5731 74 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (5656 65 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (4781 59 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4656 5 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (4508 2 (:REWRITE NTHCDR-OF-FAT32-FILENAME-LIST-FIX))
 (3673 49 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (3591 75 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (3367 137 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (1910 119 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (1677 220 (:DEFINITION LEN))
 (1480 118 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (1165 60 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (723 199 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (664 224 (:REWRITE DEFAULT-+-2))
 (576 576 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (344 344 (:REWRITE DEFAULT-CDR))
 (314 1 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-1))
 (296 57 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (253 253 (:TYPE-PRESCRIPTION PREFIXP))
 (244 13 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (228 60 (:REWRITE DEFAULT-<-2))
 (224 224 (:REWRITE DEFAULT-+-1))
 (218 60 (:REWRITE DEFAULT-<-1))
 (202 101 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (190 2 (:DEFINITION NTHCDR))
 (188 188 (:LINEAR LEN-WHEN-PREFIXP))
 (164 119 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (142 142 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (139 32 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (121 121 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (120 120 (:REWRITE DEFAULT-CAR))
 (117 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (107 65 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (105 99 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (102 1 (:REWRITE CONSP-OF-NTHCDR))
 (101 65 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (98 56 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (98 56 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (90 6 (:DEFINITION TRUE-LISTP))
 (83 13 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (81 81 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (74 74 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (74 74 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (74 74 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (74 74 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (69 69 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (66 6 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (58 29 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (57 57 (:REWRITE SUBSETP-TRANS2))
 (57 57 (:REWRITE SUBSETP-TRANS))
 (57 12 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (54 6 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (48 24 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (46 46 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (42 42 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (40 2 (:REWRITE ZP-OPEN))
 (32 32 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (30 30 (:REWRITE CONSP-OF-LIST-FIX))
 (30 12 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (29 4 (:DEFINITION ASSOC-EQUAL))
 (22 6 (:REWRITE NFIX-WHEN-NATP))
 (18 18 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (18 18 (:TYPE-PRESCRIPTION D-E-P))
 (18 9 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (17 8 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (17 7 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (14 8 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (12 12 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (12 2 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (10 4 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (9 9 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (9 9 (:REWRITE SET::IN-SET))
 (9 1 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-2))
 (8 8 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (7 7 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (6 6 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (5 5 (:TYPE-PRESCRIPTION NFIX))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (4 4 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (3 3 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (3 3 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (3 3 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (2 2 (:REWRITE PREFIXP-REFLEXIVE))
 (2 2 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (1 1 (:REWRITE SUBSETP-REFL))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-42))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 )
(INDUCTION-SCHEME
 (49938 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (49546 64 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (46087 761 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (43452 452 (:REWRITE LEN-WHEN-PREFIXP))
 (40572 580 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (39552 48 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (34532 1172 (:DEFINITION LEN))
 (34261 773 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (32604 589 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (30701 437 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (30425 1670 (:REWRITE DEFAULT-CDR))
 (23650 688 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (16412 458 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (13543 226 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (11691 2124 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (5352 18 (:REWRITE CONSP-OF-NTHCDR))
 (4695 12 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (3904 40 (:REWRITE LEN-OF-FRAME->FRAME-OF-COLLAPSE-THIS-2))
 (3612 1190 (:REWRITE DEFAULT-+-2))
 (3243 48 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (3177 6 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (2603 2180 (:LINEAR LEN-WHEN-PREFIXP))
 (2497 718 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (2313 24 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (2038 718 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (1942 536 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1850 563 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1820 910 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (1802 563 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1673 511 (:REWRITE DEFAULT-<-2))
 (1521 356 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1491 511 (:REWRITE DEFAULT-<-1))
 (1419 48 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (1306 40 (:REWRITE LEN-OF-FRAME->FRAME-OF-COLLAPSE-THIS-1))
 (1275 48 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (1208 1190 (:REWRITE DEFAULT-+-1))
 (1202 1202 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (939 939 (:TYPE-PRESCRIPTION STRIP-CARS))
 (858 96 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (825 48 (:REWRITE SUBSETP-CAR-MEMBER))
 (788 86 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (722 578 (:REWRITE DEFAULT-CAR))
 (714 48 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (671 92 (:DEFINITION ASSOC-EQUAL))
 (658 104 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (648 90 (:REWRITE NFIX-WHEN-NATP))
 (648 12 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (632 632 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (624 36 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (594 96 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (589 580 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (582 54 (:DEFINITION NATP))
 (580 580 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (580 580 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (580 580 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (579 6 (:DEFINITION NTHCDR))
 (547 547 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (528 48 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (480 6 (:REWRITE LEN-OF-NTHCDR))
 (392 240 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (382 4 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (371 88 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (273 48 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (264 264 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (264 132 (:REWRITE SET-EQUIV-ASYM))
 (225 24 (:REWRITE CTX-APP-OK-OF-CTX-APP-LIST-SEQ-LEMMA-1))
 (218 8 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (208 208 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (192 48 (:REWRITE MEMBER-WHEN-ATOM))
 (192 48 (:DEFINITION STRIP-CARS))
 (161 8 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (150 150 (:TYPE-PRESCRIPTION NATP))
 (148 148 (:TYPE-PRESCRIPTION ABS-FS-P))
 (144 144 (:REWRITE CONSP-OF-STRIP-CARS))
 (138 72 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (132 132 (:TYPE-PRESCRIPTION SET-EQUIV))
 (132 132 (:REWRITE SUBSETP-OF-CDR))
 (128 62 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (116 104 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (116 62 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (114 33 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (105 48 (:TYPE-PRESCRIPTION FINAL-VAL-SEQ-OF-COLLAPSE-THIS-LEMMA-7))
 (105 48 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (104 100 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (102 32 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (101 101 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (100 100 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (96 96 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (96 96 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (96 96 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (96 48 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (92 92 (:REWRITE SUBSETP-TRANS2))
 (92 92 (:REWRITE SUBSETP-TRANS))
 (86 8 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (84 84 (:REWRITE SUBSETP-REFL))
 (82 43 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (72 24 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 1))
 (64 28 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (63 6 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (61 61 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (48 48 (:TYPE-PRESCRIPTION VALID-SEQP))
 (48 48 (:REWRITE SUBSETP-MEMBER . 4))
 (48 48 (:REWRITE SUBSETP-MEMBER . 3))
 (48 48 (:REWRITE SUBSETP-MEMBER . 2))
 (48 48 (:REWRITE SUBSETP-MEMBER . 1))
 (48 48 (:REWRITE INTERSECTP-MEMBER . 3))
 (48 48 (:REWRITE INTERSECTP-MEMBER . 2))
 (48 48 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (48 24 (:REWRITE VALID-SEQP-WHEN-PREFIXP))
 (44 16 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (44 8 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (43 43 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (42 6 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (41 41 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (36 36 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (36 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-52))
 (33 33 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (33 33 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (33 33 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (33 33 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (32 32 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (27 27 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (24 24 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (24 12 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (24 6 (:REWRITE DEFAULT-UNARY-MINUS))
 (24 6 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (18 6 (:REWRITE COMMUTATIVITY-OF-+))
 (18 3 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (16 16 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (14 7 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (12 12 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (12 6 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (12 4 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (12 4 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (12 4 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (9 3 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (9 3 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (8 8 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (8 8 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (8 4 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (8 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (7 7 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (6 6 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (6 6 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (6 6 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE CAR-OF-NTHCDR))
 (6 6 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (6 3 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (3 3 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (3 3 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-14))
 (3 3 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-9))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(PUT-ASSOC-OF-FRAME-WITH-ROOT-2
 (96 1 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (54 1 (:REWRITE EQUAL-OF-FRAME-VAL))
 (34 2 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (28 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (20 2 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (19 19 (:TYPE-PRESCRIPTION FRAME-VAL))
 (18 1 (:REWRITE FRAME-VAL->DIR-OF-FRAME-VAL))
 (16 2 (:DEFINITION ASSOC-EQUAL))
 (15 10 (:REWRITE DEFAULT-CAR))
 (14 14 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (7 4 (:REWRITE DEFAULT-CDR))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-FS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (4 2 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (4 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (4 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION FRAME-P))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:REWRITE ZP-OPEN))
 (1 1 (:REWRITE FRAME-VAL-P-OF-FRAME-VAL))
 (1 1 (:REWRITE FRAME-VAL->SRC-OF-FRAME-VAL))
 (1 1 (:REWRITE FRAME-VAL->PATH-OF-FRAME-VAL))
 )
(PUT-ASSOC-OF-COLLAPSE-THIS-1
 (3985 16 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (3876 422 (:REWRITE DEFAULT-CDR))
 (2761 4 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (2749 25 (:REWRITE LEN-WHEN-PREFIXP))
 (1896 25 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1752 25 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (1610 25 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (1377 153 (:DEFINITION ASSOC-EQUAL))
 (1102 25 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1085 35 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (900 15 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (865 70 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (728 70 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (639 597 (:REWRITE DEFAULT-CAR))
 (637 25 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (487 60 (:DEFINITION LEN))
 (462 231 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (389 24 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (377 14 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (366 350 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (338 12 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (306 7 (:DEFINITION PUT-ASSOC-EQUAL))
 (278 80 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (273 273 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (247 12 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (219 56 (:REWRITE DEFAULT-<-2))
 (194 74 (:REWRITE DEFAULT-+-2))
 (187 12 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (180 48 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (156 56 (:REWRITE DEFAULT-<-1))
 (155 155 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (139 12 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (110 110 (:LINEAR LEN-WHEN-PREFIXP))
 (110 110 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (100 100 (:TYPE-PRESCRIPTION PREFIXP))
 (96 96 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (94 70 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (90 90 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (85 85 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (80 80 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (80 80 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (80 80 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (74 74 (:REWRITE DEFAULT-+-1))
 (73 73 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (71 71 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (70 70 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (70 70 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (70 70 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (66 24 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (66 12 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (66 12 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (53 25 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (49 25 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (48 48 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (46 25 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (36 12 (:DEFINITION NATP))
 (35 35 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (35 35 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (35 11 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (33 9 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (32 12 (:REWRITE NFIX-WHEN-NATP))
 (30 12 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (27 21 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (25 25 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (25 25 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (25 25 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (25 25 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (25 5 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (21 7 (:REWRITE COMMUTATIVITY-OF-+))
 (19 4 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (19 2 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (18 6 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (18 6 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (16 8 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (14 8 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (12 12 (:TYPE-PRESCRIPTION NATP))
 (12 12 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (12 12 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (12 6 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (12 6 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (9 3 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (8 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (6 6 (:TYPE-PRESCRIPTION ABS-FS-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (6 2 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (6 1 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (5 2 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (4 4 (:TYPE-PRESCRIPTION D-E-P))
 (4 4 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-52))
 (3 3 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (3 3 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (2 2 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-55
 (526801 86 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (418996 4474 (:REWRITE LEN-WHEN-PREFIXP))
 (401916 506 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (374601 5518 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (346520 10973 (:DEFINITION LEN))
 (312636 14076 (:REWRITE DEFAULT-CDR))
 (309895 5655 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (291707 4289 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (227682 6720 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (149961 4549 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (136056 2245 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (130914 91 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (118763 21138 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (86067 32 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (86067 32 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (56060 223 (:REWRITE CONSP-OF-NTHCDR))
 (49187 188 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (39157 2350 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (34336 11244 (:REWRITE DEFAULT-+-2))
 (27144 7021 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (26584 21391 (:LINEAR LEN-WHEN-PREFIXP))
 (18889 5275 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (18105 5396 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (17614 5396 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (17545 4580 (:REWRITE DEFAULT-<-2))
 (15364 4580 (:REWRITE DEFAULT-<-1))
 (14515 5524 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (11472 11244 (:REWRITE DEFAULT-+-1))
 (9235 5518 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (8607 94 (:DEFINITION NTHCDR))
 (7849 1024 (:REWRITE NFIX-WHEN-NATP))
 (7677 2491 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (7633 5521 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (7609 819 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (6850 86 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (6111 6111 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (5864 70 (:REWRITE LEN-OF-NTHCDR))
 (5611 5521 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (4557 646 (:DEFINITION ASSOC-EQUAL))
 (4265 4265 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (3830 144 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (3190 3185 (:REWRITE DEFAULT-CAR))
 (2990 70 (:DEFINITION NATP))
 (2797 138 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2194 141 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1860 564 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1570 785 (:REWRITE SET-EQUIV-ASYM))
 (1544 144 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1524 762 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (1373 659 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (1324 659 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1292 1292 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (968 968 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (921 921 (:REWRITE SUBSETP-TRANS2))
 (921 921 (:REWRITE SUBSETP-TRANS))
 (870 144 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (786 282 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (785 785 (:TYPE-PRESCRIPTION SET-EQUIV))
 (785 785 (:REWRITE SUBSETP-REFL))
 (785 785 (:REWRITE SUBSETP-OF-CDR))
 (757 388 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (751 106 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (734 69 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (674 338 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (617 617 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (564 564 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (524 94 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-52))
 (516 516 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (352 94 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (351 141 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (344 172 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (318 53 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (298 70 (:REWRITE DEFAULT-UNARY-MINUS))
 (288 288 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (282 94 (:REWRITE COMMUTATIVITY-OF-+))
 (240 126 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (238 119 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (216 72 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (216 72 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (212 212 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (172 86 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (144 144 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (144 72 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (144 72 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (136 136 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (136 136 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (126 126 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (120 120 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (106 106 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (104 104 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (104 104 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (104 104 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (102 51 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (100 100 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (78 78 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (75 75 (:REWRITE CAR-OF-NTHCDR))
 (72 72 (:TYPE-PRESCRIPTION ABS-FS-P))
 (72 72 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (70 70 (:TYPE-PRESCRIPTION NATP))
 (53 53 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (53 53 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (35 35 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (32 32 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-14))
 (26 26 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-9))
 (19 19 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (19 19 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 )
(PATH-CLEAR-OF-REMOVE-ASSOC-OF-FRAME-WITH-ROOT
 (99552 1482 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (92365 872 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (87367 796 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (84689 972 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (79319 823 (:REWRITE LEN-WHEN-PREFIXP))
 (64919 814 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (62607 8 (:REWRITE PATH-CLEAR-OF-REMOVE-ASSOC-1))
 (57583 1399 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (53218 587 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (52067 52 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (50088 9 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (43046 1617 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (31532 5089 (:REWRITE DEFAULT-CDR))
 (28386 27 (:REWRITE CONSP-OF-NTHCDR))
 (26198 3390 (:DEFINITION LEN))
 (25832 15955 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (25034 29 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (24148 3268 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (19528 2797 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (15462 15462 (:TYPE-PRESCRIPTION LEN))
 (10188 3408 (:REWRITE DEFAULT-+-2))
 (9864 9864 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (9396 1879 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (8388 477 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (7444 1417 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (4649 4649 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (3553 3553 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (3447 70 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (3433 3433 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (3418 28 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (3408 3408 (:REWRITE DEFAULT-+-1))
 (3378 1689 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3268 3268 (:LINEAR LEN-WHEN-PREFIXP))
 (3010 28 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (2961 1800 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2961 1800 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2957 46 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (2889 807 (:REWRITE DEFAULT-<-2))
 (2827 146 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2742 9 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-1))
 (2643 807 (:REWRITE DEFAULT-<-1))
 (2538 378 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (2160 144 (:DEFINITION TRUE-LISTP))
 (2112 42 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2097 2097 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (2065 1417 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1863 1863 (:REWRITE SUBSETP-TRANS2))
 (1863 1863 (:REWRITE SUBSETP-TRANS))
 (1735 1693 (:REWRITE DEFAULT-CAR))
 (1602 162 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (1448 1367 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1434 164 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (1368 288 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1328 878 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1300 28 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (1152 162 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (1133 150 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1103 28 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (1089 74 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (972 972 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (972 972 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (972 972 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (972 972 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (899 89 (:DEFINITION ASSOC-EQUAL))
 (862 120 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (846 423 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (801 801 (:REWRITE CONSP-OF-LIST-FIX))
 (783 783 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (780 42 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (775 8 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-4))
 (754 250 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (744 33 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (724 724 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (720 288 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (706 706 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (690 56 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (675 675 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (577 46 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (573 573 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (545 28 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (512 46 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (505 19 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (503 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-53))
 (495 8 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (465 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-5))
 (461 28 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (459 459 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (432 432 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (432 432 (:TYPE-PRESCRIPTION D-E-P))
 (432 216 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (400 282 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (357 63 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (298 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (295 33 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (294 42 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (288 288 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (288 12 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (282 282 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (270 135 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (268 268 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (261 63 (:REWRITE NFIX-WHEN-NATP))
 (261 43 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (254 45 (:DEFINITION STRIP-CARS))
 (250 250 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (236 146 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (224 8 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (216 216 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (216 216 (:REWRITE SET::IN-SET))
 (216 56 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (200 8 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (197 197 (:TYPE-PRESCRIPTION ABS-FS-P))
 (196 196 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (196 11 (:REWRITE ZP-OPEN))
 (180 72 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (180 45 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (171 9 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-2))
 (168 168 (:TYPE-PRESCRIPTION M1-FILE-P))
 (162 162 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (156 28 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (154 14 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (153 72 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (152 58 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (151 151 (:TYPE-PRESCRIPTION STRIP-CARS))
 (150 12 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (144 40 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (140 140 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (140 28 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (136 136 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (135 135 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (124 50 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (119 65 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (112 112 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (108 108 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (103 19 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (103 16 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (100 100 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (98 98 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (88 8 (:REWRITE SUBSETP-CAR-MEMBER))
 (88 8 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (85 5 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (72 72 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (65 65 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (63 63 (:REWRITE SUBSETP-REFL))
 (58 58 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (56 56 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (56 56 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (56 8 (:DEFINITION NATP))
 (54 9 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (46 46 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (45 45 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (45 45 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (45 45 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (45 45 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (45 45 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (44 44 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (42 42 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (40 40 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (36 36 (:REWRITE PREFIXP-REFLEXIVE))
 (32 8 (:REWRITE MEMBER-WHEN-ATOM))
 (31 31 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (30 5 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (29 29 (:TYPE-PRESCRIPTION NFIX))
 (29 29 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (28 28 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (28 28 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (28 28 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (28 28 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (28 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (27 27 (:REWRITE ABS-NO-DUPS-P-OF-FRAME-VAL->DIR))
 (27 9 (:REWRITE COMMUTATIVITY-OF-+))
 (24 24 (:TYPE-PRESCRIPTION NATP))
 (24 24 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (24 24 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (24 24 (:REWRITE CONSP-OF-STRIP-CARS))
 (24 12 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (20 20 (:TYPE-PRESCRIPTION FRAME-VAL))
 (19 19 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (18 2 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (16 16 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (16 8 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (16 8 (:REWRITE SET-EQUIV-ASYM))
 (15 15 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (15 15 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (15 10 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-52))
 (14 14 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (12 12 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (10 10 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (10 10 (:TYPE-PRESCRIPTION ADDRS-AT))
 (9 9 (:REWRITE CAR-OF-NTHCDR))
 (9 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT))
 (8 8 (:TYPE-PRESCRIPTION SET-EQUIV))
 (8 8 (:REWRITE SUBSETP-OF-CDR))
 (8 8 (:REWRITE SUBSETP-MEMBER . 4))
 (8 8 (:REWRITE SUBSETP-MEMBER . 3))
 (8 8 (:REWRITE SUBSETP-MEMBER . 2))
 (8 8 (:REWRITE SUBSETP-MEMBER . 1))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 3))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 2))
 (6 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (5 5 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (5 5 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (5 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-79))
 (4 2 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION ZP))
 (2 2 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-59
 (13036 2 (:DEFINITION PATH-CLEAR))
 (8144 104 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (7714 94 (:REWRITE LEN-WHEN-PREFIXP))
 (7657 153 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (7510 90 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (6529 1 (:REWRITE PATH-CLEAR-OF-REMOVE-ASSOC-1))
 (5736 4 (:REWRITE NTHCDR-OF-FAT32-FILENAME-LIST-FIX))
 (5676 7 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (5382 92 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (5343 106 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (2882 177 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (2642 346 (:DEFINITION LEN))
 (2295 145 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (2152 356 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1210 94 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (1042 350 (:REWRITE DEFAULT-+-2))
 (992 992 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (724 268 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (628 2 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-1))
 (516 513 (:REWRITE DEFAULT-CDR))
 (405 147 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (360 360 (:TYPE-PRESCRIPTION PREFIXP))
 (356 356 (:LINEAR LEN-WHEN-PREFIXP))
 (350 350 (:REWRITE DEFAULT-+-1))
 (345 93 (:REWRITE DEFAULT-<-2))
 (340 170 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (325 93 (:REWRITE DEFAULT-<-1))
 (265 52 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (234 6 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (207 9 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (204 204 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (204 2 (:REWRITE CONSP-OF-NTHCDR))
 (201 147 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (185 182 (:REWRITE DEFAULT-CAR))
 (184 42 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (184 10 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (162 3 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (139 133 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (138 90 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (134 20 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (132 90 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (128 128 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (120 8 (:DEFINITION TRUE-LISTP))
 (108 14 (:DEFINITION ASSOC-EQUAL))
 (104 104 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (104 104 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (104 104 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (104 104 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (97 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-4))
 (96 8 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (88 44 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (88 8 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (84 48 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (84 48 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (82 82 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (76 16 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (74 74 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (62 62 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (62 1 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (51 51 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (50 50 (:REWRITE SUBSETP-TRANS2))
 (50 50 (:REWRITE SUBSETP-TRANS))
 (44 44 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (40 16 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (40 2 (:REWRITE ZP-OPEN))
 (36 9 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (34 34 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (32 8 (:REWRITE NFIX-WHEN-NATP))
 (28 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (27 27 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (26 26 (:REWRITE CONSP-OF-LIST-FIX))
 (25 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (24 24 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (24 24 (:TYPE-PRESCRIPTION D-E-P))
 (24 12 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (24 12 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (24 12 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (24 4 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (20 10 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (19 19 (:TYPE-PRESCRIPTION STRIP-CARS))
 (18 2 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-2))
 (17 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (16 16 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (15 15 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (14 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (13 7 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (13 2 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (12 12 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (12 12 (:REWRITE SET::IN-SET))
 (11 2 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (11 1 (:REWRITE SUBSETP-CAR-MEMBER))
 (11 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (9 9 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (9 9 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (9 9 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (9 9 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (8 8 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (7 7 (:TYPE-PRESCRIPTION NFIX))
 (7 1 (:DEFINITION NATP))
 (6 6 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (5 5 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (5 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4 4 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (4 4 (:REWRITE PREFIXP-REFLEXIVE))
 (4 4 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (4 1 (:REWRITE MEMBER-WHEN-ATOM))
 (4 1 (:DEFINITION STRIP-CARS))
 (3 3 (:TYPE-PRESCRIPTION NATP))
 (3 3 (:TYPE-PRESCRIPTION ABS-FS-P))
 (3 3 (:REWRITE CONSP-OF-STRIP-CARS))
 (2 2 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2 2 (:REWRITE SUBSETP-REFL))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 1 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (2 1 (:REWRITE SET-EQUIV-ASYM))
 (2 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:REWRITE SUBSETP-OF-CDR))
 (1 1 (:REWRITE SUBSETP-MEMBER . 4))
 (1 1 (:REWRITE SUBSETP-MEMBER . 3))
 (1 1 (:REWRITE SUBSETP-MEMBER . 2))
 (1 1 (:REWRITE SUBSETP-MEMBER . 1))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-60
 (11430 15 (:DEFINITION PATH-CLEAR))
 (8407 192 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (4408 95 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (4265 192 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (3850 1 (:REWRITE PATH-CLEAR-OF-REMOVE-ASSOC-2))
 (3804 71 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (2829 669 (:REWRITE DEFAULT-CDR))
 (2282 11 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-4))
 (2114 22 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (2107 25 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (1763 14 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1291 15 (:REWRITE CONSP-OF-NTHCDR))
 (1165 996 (:REWRITE DEFAULT-CAR))
 (1155 174 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (1151 15 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-1))
 (1142 1 (:REWRITE ABS-FIND-FILE-HELPER-OF-CTX-APP))
 (1043 14 (:REWRITE SUBSETP-CAR-MEMBER))
 (1008 44 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (952 8 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (864 402 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (834 3 (:REWRITE SUBSETP-OF-REMOVE1))
 (732 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-53))
 (710 1 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (682 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-5))
 (566 3 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (538 510 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (514 61 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (502 65 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (501 19 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (459 142 (:REWRITE DEFAULT-<-2))
 (459 16 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (417 13 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (403 21 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (392 50 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (390 106 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (333 142 (:REWRITE DEFAULT-<-1))
 (333 2 (:REWRITE FRAME-ADDRS-ROOT-CORRECTNESS-2))
 (329 6 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (300 27 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (300 9 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (295 295 (:TYPE-PRESCRIPTION STRIP-CARS))
 (294 294 (:TYPE-PRESCRIPTION FRAME-WITH-ROOT))
 (293 9 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (291 2 (:REWRITE MEMBER-OF-STRIP-CARS))
 (288 8 (:DEFINITION TRUE-LISTP))
 (277 196 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (266 174 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (254 82 (:REWRITE NFIX-WHEN-NATP))
 (240 240 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (240 240 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (240 240 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (240 240 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (239 54 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (215 215 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (215 1 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (179 27 (:DEFINITION NATP))
 (170 8 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (161 9 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (158 2 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (151 10 (:REWRITE CTX-APP-OK-OF-CTX-APP-LIST-SEQ-LEMMA-1))
 (142 16 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (139 15 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-2))
 (134 134 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (131 37 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (129 129 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (124 6 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (118 19 (:DEFINITION STRIP-CARS))
 (112 30 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (112 9 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (106 106 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (106 106 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (106 106 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (105 60 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (104 79 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (102 102 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (102 3 (:DEFINITION PUT-ASSOC-EQUAL))
 (98 61 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (96 7 (:REWRITE VALID-SEQP-WHEN-PREFIXP))
 (93 13 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (86 7 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (83 83 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (82 82 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (79 79 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (78 24 (:REWRITE COMMUTATIVITY-OF-+))
 (73 19 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (71 8 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (68 42 (:REWRITE CONSP-OF-STRIP-CARS))
 (68 11 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (66 60 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (65 19 (:REWRITE MEMBER-WHEN-ATOM))
 (64 1 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (59 23 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (54 54 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (54 48 (:REWRITE DEFAULT-+-2))
 (54 48 (:REWRITE DEFAULT-+-1))
 (50 18 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (48 48 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (44 44 (:REWRITE PREFIXP-REFLEXIVE))
 (43 3 (:REWRITE FRAME->FRAME-OF-FRAME-WITH-ROOT))
 (41 1 (:REWRITE MEMBER-OF-NTH-WHEN-NOT-INTERSECTP))
 (38 38 (:TYPE-PRESCRIPTION D-E-P))
 (38 27 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (37 37 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (35 14 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (35 8 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (34 34 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (31 31 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (31 14 (:TYPE-PRESCRIPTION FINAL-VAL-SEQ-OF-COLLAPSE-THIS-LEMMA-7))
 (30 30 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (30 30 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (29 1 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (28 28 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (28 14 (:REWRITE SET-EQUIV-ASYM))
 (28 14 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (28 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (28 1 (:REWRITE HIFAT-OPENDIR-CORRECTNESS-LEMMA-2))
 (26 26 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (26 26 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (26 26 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (26 2 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-2))
 (24 24 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (22 22 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (22 3 (:REWRITE SUBSETP-OF-REMOVE2))
 (21 13 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-52))
 (21 11 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (21 1 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (21 1 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (20 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (20 2 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (19 19 (:REWRITE SUBSETP-MEMBER . 4))
 (19 19 (:REWRITE SUBSETP-MEMBER . 3))
 (19 19 (:REWRITE SUBSETP-MEMBER . 2))
 (19 19 (:REWRITE SUBSETP-MEMBER . 1))
 (19 19 (:REWRITE INTERSECTP-MEMBER . 3))
 (19 19 (:REWRITE INTERSECTP-MEMBER . 2))
 (19 7 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (18 18 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (18 9 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (18 2 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-EQUAL))
 (17 17 (:TYPE-PRESCRIPTION SET-EQUIV))
 (16 16 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (15 15 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (15 5 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (15 1 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (15 1 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (14 14 (:TYPE-PRESCRIPTION VALID-SEQP))
 (14 14 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (14 14 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (14 14 (:REWRITE SET::IN-SET))
 (14 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (14 2 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (13 13 (:REWRITE SUBSETP-OF-CDR))
 (13 2 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (13 2 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (12 6 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (11 1 (:REWRITE ABS-FS-P-OF-REMOVE))
 (10 10 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (10 4 (:REWRITE ASSOC-AFTER-PUT-ASSOC))
 (10 3 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (9 6 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (9 3 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (8 8 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (8 8 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (8 1 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (8 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (7 7 (:REWRITE SUBSETP-TRANS2))
 (7 7 (:REWRITE SUBSETP-TRANS))
 (7 1 (:REWRITE STRIP-CARS-OF-REMOVE-ASSOC))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (6 6 (:TYPE-PRESCRIPTION ADDRS-AT))
 (6 3 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (6 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (6 2 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (6 2 (:LINEAR NTH-WHEN-D-E-P))
 (5 5 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (4 2 (:REWRITE TRUE-LISTP-OF-PUT-ASSOC))
 (4 2 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (4 2 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (3 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-31))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (3 1 (:REWRITE NTH-WHEN-D-E-P . 2))
 (2 2 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (2 2 (:TYPE-PRESCRIPTION FRAME-VAL))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (2 2 (:REWRITE SUBSETP-OF-REMOVE))
 (2 2 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (2 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (2 2 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (2 2 (:REWRITE CONSP-OF-LIST-FIX))
 (2 2 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (2 2 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1 1 (:TYPE-PRESCRIPTION NULL))
 (1 1 (:REWRITE SUBSETP-REFL))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 1))
 (1 1 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (1 1 (:DEFINITION NULL))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-69
 (24952 353 (:REWRITE LEN-WHEN-PREFIXP))
 (8980 1190 (:DEFINITION LEN))
 (6512 1278 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6127 582 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (5454 347 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (3584 1204 (:REWRITE DEFAULT-+-2))
 (2637 1053 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1855 1765 (:REWRITE DEFAULT-CDR))
 (1786 7 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-1))
 (1508 593 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (1278 1278 (:LINEAR LEN-WHEN-PREFIXP))
 (1204 1204 (:REWRITE DEFAULT-+-1))
 (1198 322 (:REWRITE DEFAULT-<-2))
 (1138 322 (:REWRITE DEFAULT-<-1))
 (953 21 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (920 460 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (892 173 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (871 7 (:DEFINITION NTHCDR))
 (848 7 (:REWRITE CONSP-OF-NTHCDR))
 (818 593 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (688 37 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (566 566 (:REWRITE DEFAULT-CAR))
 (557 524 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (554 362 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (524 362 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (480 32 (:DEFINITION TRUE-LISTP))
 (430 430 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (412 412 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (412 412 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (412 412 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (412 412 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (384 32 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (352 32 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (304 64 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (301 301 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (294 168 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (294 168 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (199 100 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (199 100 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (173 173 (:REWRITE SUBSETP-TRANS2))
 (173 173 (:REWRITE SUBSETP-TRANS))
 (170 170 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (160 64 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (140 7 (:REWRITE ZP-OPEN))
 (96 96 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (96 96 (:TYPE-PRESCRIPTION D-E-P))
 (96 48 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (95 95 (:REWRITE CONSP-OF-LIST-FIX))
 (92 37 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (84 14 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (82 82 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (64 64 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (63 7 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-2))
 (48 48 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (48 48 (:REWRITE SET::IN-SET))
 (32 32 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (24 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (21 21 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (21 7 (:REWRITE COMMUTATIVITY-OF-+))
 (21 6 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (18 18 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (15 15 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (14 14 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (14 14 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (12 12 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (10 10 (:REWRITE PREFIXP-REFLEXIVE))
 (8 2 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (6 6 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (6 6 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (6 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (5 5 (:REWRITE SUBSETP-REFL))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-61
 (176341 1913 (:REWRITE LEN-WHEN-PREFIXP))
 (167882 36 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-69))
 (66398 1909 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (51854 6822 (:DEFINITION LEN))
 (41056 7116 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (39615 9 (:REWRITE PATH-CLEAR-OF-REMOVE-ASSOC-1))
 (35600 3013 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (28993 5543 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (20550 6906 (:REWRITE DEFAULT-+-2))
 (13379 2667 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (13228 42 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-1))
 (10954 607 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (9905 9780 (:REWRITE DEFAULT-CDR))
 (7349 3062 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (7122 7122 (:LINEAR LEN-WHEN-PREFIXP))
 (6906 6906 (:REWRITE DEFAULT-+-1))
 (6828 1840 (:REWRITE DEFAULT-<-2))
 (6634 6634 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (6552 1840 (:REWRITE DEFAULT-<-1))
 (6316 3158 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (5170 126 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (5118 42 (:DEFINITION NTHCDR))
 (4540 42 (:REWRITE CONSP-OF-NTHCDR))
 (4124 3062 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (4100 2600 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (4100 2600 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (3801 3801 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (2972 1997 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (2875 2840 (:REWRITE DEFAULT-CAR))
 (2852 2747 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2840 1997 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (2649 2649 (:REWRITE SUBSETP-TRANS2))
 (2649 2649 (:REWRITE SUBSETP-TRANS))
 (2553 2553 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (2260 2260 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2260 2260 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2260 2260 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (2260 2260 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (2160 144 (:DEFINITION TRUE-LISTP))
 (1728 144 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (1658 829 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (1584 144 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (1368 288 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1244 9 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-4))
 (1184 592 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (1047 1047 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (1035 1035 (:REWRITE CONSP-OF-LIST-FIX))
 (840 42 (:REWRITE ZP-OPEN))
 (796 796 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (720 288 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (635 314 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (629 314 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (623 9 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (575 16 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (558 9 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (504 84 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (432 432 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (432 432 (:TYPE-PRESCRIPTION D-E-P))
 (432 216 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (412 46 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (378 42 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-2))
 (371 16 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (323 46 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (320 145 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (288 288 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (254 254 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (216 216 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (216 216 (:REWRITE SET::IN-SET))
 (171 171 (:TYPE-PRESCRIPTION STRIP-CARS))
 (161 7 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (144 144 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (126 126 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (126 42 (:REWRITE COMMUTATIVITY-OF-+))
 (117 18 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (105 105 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (100 25 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (99 9 (:REWRITE SUBSETP-CAR-MEMBER))
 (99 9 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (94 23 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (93 93 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (91 14 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (88 88 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (83 83 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (75 75 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (74 23 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (63 9 (:DEFINITION NATP))
 (63 7 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (60 60 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (60 60 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (56 56 (:REWRITE PREFIXP-REFLEXIVE))
 (56 7 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (49 49 (:REWRITE SUBSETP-REFL))
 (46 46 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (46 46 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (45 45 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (41 41 (:TYPE-PRESCRIPTION ABS-FS-P))
 (36 9 (:REWRITE MEMBER-WHEN-ATOM))
 (36 9 (:DEFINITION STRIP-CARS))
 (32 32 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (28 28 (:TYPE-PRESCRIPTION NATP))
 (27 27 (:REWRITE CONSP-OF-STRIP-CARS))
 (25 25 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (25 25 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (25 25 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (25 25 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (23 23 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (21 6 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (18 18 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (18 9 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (18 9 (:REWRITE SET-EQUIV-ASYM))
 (16 4 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (9 9 (:TYPE-PRESCRIPTION SET-EQUIV))
 (9 9 (:REWRITE SUBSETP-OF-CDR))
 (9 9 (:REWRITE SUBSETP-MEMBER . 4))
 (9 9 (:REWRITE SUBSETP-MEMBER . 3))
 (9 9 (:REWRITE SUBSETP-MEMBER . 2))
 (9 9 (:REWRITE SUBSETP-MEMBER . 1))
 (9 9 (:REWRITE INTERSECTP-MEMBER . 3))
 (9 9 (:REWRITE INTERSECTP-MEMBER . 2))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-62
 (16704 2 (:DEFINITION PATH-CLEAR))
 (11899 112 (:REWRITE LEN-WHEN-PREFIXP))
 (11338 130 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (11070 214 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (10674 114 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (9686 8 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (9404 4 (:REWRITE NTHCDR-OF-FAT32-FILENAME-LIST-FIX))
 (9197 110 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (8224 6 (:REWRITE PATH-CLEAR-OF-REMOVE-ASSOC-1))
 (6753 132 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (6625 84 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (5924 240 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (4178 208 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (3325 436 (:DEFINITION LEN))
 (2965 206 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (2164 112 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (1314 442 (:REWRITE DEFAULT-+-2))
 (1248 348 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1080 1080 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (693 681 (:REWRITE DEFAULT-CDR))
 (628 2 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-1))
 (544 106 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (453 453 (:TYPE-PRESCRIPTION PREFIXP))
 (442 442 (:REWRITE DEFAULT-+-1))
 (422 114 (:REWRITE DEFAULT-<-2))
 (412 22 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (404 114 (:REWRITE DEFAULT-<-1))
 (390 6 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-4))
 (388 194 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (382 382 (:LINEAR LEN-WHEN-PREFIXP))
 (368 20 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-69))
 (331 3 (:DEFINITION NTHCDR))
 (280 208 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (272 260 (:REWRITE DEFAULT-CAR))
 (260 260 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (248 4 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (237 56 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (234 6 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (228 228 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (207 9 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (204 2 (:REWRITE CONSP-OF-NTHCDR))
 (186 114 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (182 173 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (177 114 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (168 96 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (168 96 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (162 3 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (154 24 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (150 10 (:DEFINITION TRUE-LISTP))
 (138 138 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (130 130 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (130 130 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (130 130 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (130 130 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (129 17 (:DEFINITION ASSOC-EQUAL))
 (120 120 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (112 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (110 10 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (104 52 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (100 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (98 98 (:REWRITE SUBSETP-TRANS2))
 (98 98 (:REWRITE SUBSETP-TRANS))
 (95 20 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (90 10 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (80 80 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (76 76 (:TYPE-PRESCRIPTION STRIP-CARS))
 (74 74 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (73 24 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-61))
 (68 8 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (60 3 (:REWRITE ZP-OPEN))
 (56 4 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (54 54 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (52 8 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (51 51 (:REWRITE CONSP-OF-LIST-FIX))
 (50 20 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (44 8 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (44 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (44 4 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (40 40 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (38 10 (:REWRITE NFIX-WHEN-NATP))
 (36 9 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (30 30 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (30 30 (:TYPE-PRESCRIPTION D-E-P))
 (30 15 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (29 14 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (28 4 (:DEFINITION NATP))
 (27 27 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (27 12 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (26 14 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (25 10 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (24 4 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (20 20 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (20 20 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (20 4 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (18 2 (:REWRITE PATH-CLEAR-WHEN-PREFIXP-LEMMA-2))
 (16 16 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (16 4 (:REWRITE MEMBER-WHEN-ATOM))
 (16 4 (:DEFINITION STRIP-CARS))
 (15 15 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (15 15 (:REWRITE SET::IN-SET))
 (14 14 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (13 13 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (12 12 (:TYPE-PRESCRIPTION NATP))
 (12 12 (:TYPE-PRESCRIPTION ABS-FS-P))
 (12 12 (:REWRITE CONSP-OF-STRIP-CARS))
 (10 10 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (9 9 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (9 9 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (9 9 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (9 9 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (9 3 (:REWRITE COMMUTATIVITY-OF-+))
 (8 8 (:TYPE-PRESCRIPTION NFIX))
 (8 8 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (8 8 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (8 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (8 4 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (6 6 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (5 5 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (4 4 (:TYPE-PRESCRIPTION SET-EQUIV))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE SUBSETP-MEMBER . 4))
 (4 4 (:REWRITE SUBSETP-MEMBER . 3))
 (4 4 (:REWRITE SUBSETP-MEMBER . 2))
 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (4 4 (:REWRITE PREFIXP-REFLEXIVE))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 2 (:REWRITE SUBSETP-REFL))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63
 (206 18 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (201 4 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (71 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (36 36 (:REWRITE DEFAULT-CAR))
 (24 24 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (18 9 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (16 16 (:REWRITE DEFAULT-CDR))
 (9 9 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (9 9 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (7 7 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (7 7 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (7 7 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (7 7 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (2 2 (:REWRITE 1ST-COMPLETE-OF-REMOVE-ASSOC-1))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-64
 (47936 1047 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (33139 526 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (28054 344 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (19064 172 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (13102 1048 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (10487 550 (:REWRITE LEN-WHEN-PREFIXP))
 (10113 550 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (9658 9658 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (9269 1048 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (5466 1918 (:LINEAR LEN-WHEN-PREFIXP))
 (5039 1705 (:REWRITE DEFAULT-+-2))
 (4516 1048 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (4503 1038 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (3674 2730 (:REWRITE DEFAULT-CDR))
 (3210 14 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (2255 44 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (2044 2044 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1989 344 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (1918 1918 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1893 98 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (1853 619 (:REWRITE DEFAULT-<-2))
 (1789 98 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1769 619 (:REWRITE DEFAULT-<-1))
 (1709 1705 (:REWRITE DEFAULT-+-1))
 (1169 1169 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (1082 18 (:REWRITE CONSP-OF-NTHCDR))
 (1076 1076 (:REWRITE DEFAULT-CAR))
 (1044 1044 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1022 1022 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (344 344 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (344 344 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (344 344 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (216 18 (:REWRITE ZP-OPEN))
 (186 74 (:REWRITE NFIX-WHEN-NATP))
 (172 172 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (44 44 (:TYPE-PRESCRIPTION NFIX))
 (16 16 (:REWRITE CDR-CONS))
 (14 14 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-66
 (574 12 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (434 4 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (309 6 (:REWRITE LEN-WHEN-PREFIXP))
 (231 12 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (170 170 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (137 6 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (108 18 (:DEFINITION LEN))
 (106 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (102 12 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (94 18 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (87 6 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (66 2 (:DEFINITION NTHCDR))
 (60 24 (:REWRITE DEFAULT-+-2))
 (58 19 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (44 2 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (42 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (39 16 (:REWRITE DEFAULT-<-2))
 (38 38 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (33 33 (:TYPE-PRESCRIPTION PREFIXP))
 (30 30 (:REWRITE DEFAULT-CDR))
 (30 16 (:REWRITE DEFAULT-<-1))
 (24 24 (:REWRITE DEFAULT-+-1))
 (22 22 (:LINEAR LEN-WHEN-PREFIXP))
 (22 22 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (21 1 (:REWRITE CONSP-OF-NTHCDR))
 (14 2 (:DEFINITION TAKE))
 (12 12 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (12 12 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (12 12 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (12 12 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (12 12 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (12 12 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (12 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-TAKE))
 (10 10 (:TYPE-PRESCRIPTION TAKE))
 (10 10 (:REWRITE DEFAULT-CAR))
 (10 5 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (10 2 (:REWRITE CONSP-OF-TAKE))
 (9 5 (:REWRITE NFIX-WHEN-NATP))
 (9 3 (:DEFINITION NFIX))
 (8 8 (:REWRITE ZP-OPEN))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (5 5 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (4 4 (:TYPE-PRESCRIPTION NFIX))
 (3 1 (:DEFINITION NATP))
 (2 2 (:TYPE-PRESCRIPTION ZP))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-68
 (15435 34 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-52))
 (15405 8 (:DEFINITION COLLAPSE))
 (10326 24 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (9719 11 (:REWRITE EQUAL-OF-FRAME-VAL))
 (9487 37 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (7687 125 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (7607 24 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (6665 28 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (5402 101 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (4134 42 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-4))
 (3094 37 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (2933 2822 (:REWRITE DEFAULT-CAR))
 (2855 1508 (:REWRITE DEFAULT-CDR))
 (2853 45 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-62))
 (2582 2 (:REWRITE ABS-FIND-FILE-HELPER-OF-CTX-APP))
 (2440 73 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2074 32 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-53))
 (1836 1808 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1775 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-5))
 (1615 99 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (1481 393 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (1474 25 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (1212 112 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (1060 16 (:REWRITE CONSP-OF-NTHCDR))
 (798 40 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (678 220 (:REWRITE DEFAULT-<-2))
 (638 294 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (632 300 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (628 56 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (575 28 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (480 10 (:REWRITE MEMBER-WHEN-ATOM))
 (475 220 (:REWRITE DEFAULT-<-1))
 (468 10 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (466 466 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (420 112 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (408 12 (:DEFINITION PUT-ASSOC-EQUAL))
 (401 97 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (393 393 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (393 393 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (393 393 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (386 7 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (377 377 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (335 40 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (328 103 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-69))
 (319 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-15))
 (279 2 (:REWRITE MEMBER-OF-NTH-WHEN-NOT-INTERSECTP))
 (250 40 (:DEFINITION STRIP-CARS))
 (242 7 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (240 240 (:TYPE-PRESCRIPTION FRAME-WITH-ROOT))
 (240 7 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (219 7 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (216 1 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 2))
 (202 1 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (196 1 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (193 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (192 28 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (188 49 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (171 99 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (168 168 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (166 68 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (166 40 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (158 74 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (155 74 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (152 31 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (148 90 (:REWRITE DEFAULT-+-2))
 (146 32 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (143 14 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (142 90 (:REWRITE DEFAULT-+-1))
 (140 140 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (131 7 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (121 121 (:TYPE-PRESCRIPTION STRIP-CARS))
 (120 12 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (118 58 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (112 112 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (109 13 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-2))
 (106 56 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (100 48 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (99 11 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (99 1 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (98 98 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (92 38 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (90 7 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (89 3 (:REWRITE FRAME->FRAME-OF-FRAME-WITH-ROOT))
 (88 11 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (78 56 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (77 7 (:REWRITE SUBSETP-CAR-MEMBER))
 (76 21 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (75 36 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (70 70 (:TYPE-PRESCRIPTION CTX-APP))
 (64 32 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (63 63 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (63 14 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (60 28 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (59 23 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-54))
 (58 9 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (56 56 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (54 54 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (51 7 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (44 11 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (42 14 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (42 2 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (36 36 (:TYPE-PRESCRIPTION ADDRS-AT))
 (36 9 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (35 35 (:TYPE-PRESCRIPTION FRAME-VAL))
 (33 21 (:REWRITE CONSP-OF-STRIP-CARS))
 (32 32 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (30 2 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (30 2 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (28 28 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (28 28 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (28 14 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (28 4 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (26 26 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-41))
 (25 25 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (24 12 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (22 22 (:TYPE-PRESCRIPTION DIST-NAMES))
 (22 22 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (21 21 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (20 4 (:REWRITE DEFAULT-UNARY-MINUS))
 (17 2 (:REWRITE ASSOC-AFTER-PUT-ASSOC))
 (14 14 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (14 14 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (14 14 (:TYPE-PRESCRIPTION D-E-P))
 (14 14 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (14 7 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (14 7 (:REWRITE SET-EQUIV-ASYM))
 (14 7 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (14 7 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (13 13 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (12 12 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (12 4 (:LINEAR NTH-WHEN-D-E-P))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (10 10 (:REWRITE SUBSETP-MEMBER . 4))
 (10 10 (:REWRITE SUBSETP-MEMBER . 3))
 (10 10 (:REWRITE SUBSETP-MEMBER . 2))
 (10 10 (:REWRITE SUBSETP-MEMBER . 1))
 (10 10 (:REWRITE INTERSECTP-MEMBER . 3))
 (10 10 (:REWRITE INTERSECTP-MEMBER . 2))
 (9 9 (:TYPE-PRESCRIPTION SET-EQUIV))
 (7 7 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (7 7 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (7 7 (:REWRITE SUBSETP-OF-CDR))
 (7 7 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (6 6 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (6 2 (:REWRITE NTH-WHEN-D-E-P . 2))
 (5 5 (:TYPE-PRESCRIPTION NULL))
 (5 5 (:DEFINITION NULL))
 (5 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4 4 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (4 4 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (4 4 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (3 3 (:TYPE-PRESCRIPTION M1-FILE-P))
 (3 1 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (3 1 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (2 2 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 1))
 (2 2 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FOLD-CONSTS-IN-+))
 (2 2 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (2 2 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (2 1 (:REWRITE TRUE-LISTP-OF-PUT-ASSOC))
 (2 1 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1 1 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-70
 (88 1 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (56 2 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (41 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (31 2 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (30 8 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (27 27 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (23 2 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (14 14 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (11 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (11 2 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (6 1 (:REWRITE ABS-NO-DUPS-FILE-FIX-WHEN-ABS-NO-DUPS-FILE-P))
 (5 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (4 4 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (3 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3 1 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (2 2 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (2 1 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-71
 (43886 2 (:DEFINITION COLLAPSE))
 (35806 20 (:REWRITE ABS-FS-P-OF-CTX-APP))
 (35266 20 (:REWRITE FRAME->ROOT-OF-FRAME-WITH-ROOT))
 (19404 18 (:REWRITE NAMES-AT-OF-ABS-PLACE-FILE-HELPER-1))
 (17450 186 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (14066 20 (:REWRITE CTX-APP-OK-OF-ABS-PLACE-FILE-HELPER-1))
 (13206 164 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (12830 84 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (10330 290 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (8346 412 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (7166 3876 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (5042 5042 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (4862 73 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (4455 219 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (3260 41 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (2576 42 (:DEFINITION NTHCDR))
 (2572 122 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2384 856 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2072 74 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (1900 112 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (1828 186 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (1799 231 (:DEFINITION ASSOC-EQUAL))
 (1728 8 (:REWRITE REMOVE-ASSOC-OF-REMOVE-ASSOC))
 (1706 673 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (1680 112 (:DEFINITION TRUE-LISTP))
 (1517 74 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1430 632 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1404 20 (:REWRITE CONSP-OF-NTHCDR))
 (1318 9 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (1312 56 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (1302 383 (:REWRITE DEFAULT-<-2))
 (1275 90 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1272 20 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (1176 56 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (1152 72 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (1116 144 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (1110 296 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1107 999 (:REWRITE DEFAULT-CAR))
 (1064 224 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1060 1060 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (1034 266 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (1007 1007 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (994 42 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (994 42 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (966 111 (:REWRITE ZP-OPEN))
 (916 916 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (874 676 (:REWRITE DEFAULT-CDR))
 (870 870 (:TYPE-PRESCRIPTION NAMES-AT))
 (856 856 (:LINEAR LEN-WHEN-PREFIXP))
 (851 74 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (818 6 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (719 383 (:REWRITE DEFAULT-<-1))
 (696 142 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (684 38 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (676 676 (:TYPE-PRESCRIPTION NATP-OF-ABS-PLACE-FILE-HELPER))
 (666 177 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (656 266 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (652 2 (:REWRITE EQUAL-OF-FRAME-VAL))
 (614 614 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (612 36 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (592 316 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (576 576 (:TYPE-PRESCRIPTION LAST))
 (560 560 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (560 224 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (526 190 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-69))
 (524 524 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (508 508 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (504 252 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (504 56 (:REWRITE ASSOC-AFTER-REMOVE-ASSOC))
 (504 36 (:DEFINITION LAST))
 (504 18 (:DEFINITION BUTLAST))
 (496 44 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (494 494 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (484 484 (:TYPE-PRESCRIPTION PREFIXP))
 (456 76 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (438 186 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (407 148 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (407 74 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (374 94 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (350 88 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (342 38 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (336 336 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (336 336 (:TYPE-PRESCRIPTION D-E-P))
 (336 168 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (332 80 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (330 42 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (324 186 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (324 60 (:DEFINITION NATP))
 (306 18 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (304 8 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (296 296 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (249 249 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (244 106 (:REWRITE NFIX-WHEN-NATP))
 (234 18 (:DEFINITION TAKE))
 (228 38 (:REWRITE ABS-NO-DUPS-FILE-FIX-WHEN-ABS-NO-DUPS-FILE-P))
 (228 38 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (224 224 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (224 224 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (222 222 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (209 49 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (206 206 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (206 206 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (206 206 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (206 206 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (204 204 (:TYPE-PRESCRIPTION NATP))
 (201 90 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (196 196 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (190 190 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (190 190 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-61))
 (190 76 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (190 76 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (180 60 (:REWRITE COMMUTATIVITY-OF-+))
 (178 49 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (177 177 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (177 177 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (177 177 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (173 173 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (168 168 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (168 168 (:REWRITE SET::IN-SET))
 (168 8 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (156 156 (:REWRITE DEFAULT-+-2))
 (156 156 (:REWRITE DEFAULT-+-1))
 (152 152 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (152 152 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-FIX))
 (144 144 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (132 132 (:REWRITE CONSP-OF-LIST-FIX))
 (128 128 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (128 128 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (120 48 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (120 48 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (114 114 (:TYPE-PRESCRIPTION M1-FILE-P))
 (114 38 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (114 38 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (114 38 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (112 112 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (112 8 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (111 37 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (106 69 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (100 20 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (98 3 (:DEFINITION PUT-ASSOC-EQUAL))
 (90 18 (:REWRITE MEMBER-WHEN-ATOM))
 (88 88 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (84 84 (:TYPE-PRESCRIPTION NFIX))
 (80 16 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (76 76 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (76 76 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (76 76 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (76 76 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (76 76 (:REWRITE SUBSETP-TRANS2))
 (76 76 (:REWRITE SUBSETP-TRANS))
 (76 76 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (74 74 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (74 37 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (72 72 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-59))
 (69 69 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (64 8 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (62 62 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (56 56 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (56 16 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (54 54 (:TYPE-PRESCRIPTION TAKE))
 (54 18 (:REWRITE FOLD-CONSTS-IN-+))
 (54 18 (:REWRITE APPEND-OF-CONS-UNDER-SET-EQUIV))
 (42 42 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (42 42 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (42 42 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (42 42 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (42 42 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (42 42 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (42 42 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (42 42 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (42 42 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (42 42 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (42 42 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (42 42 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (39 39 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (39 39 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (39 39 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (39 39 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (39 39 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (37 37 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (37 37 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (36 36 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-62))
 (36 18 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (32 8 (:REWRITE 1ST-COMPLETE-OF-REMOVE-ASSOC-1))
 (25 2 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-2))
 (24 24 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (24 24 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (24 8 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (22 22 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (22 22 (:REWRITE INTERSECTP-MEMBER . 1))
 (20 20 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (20 20 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (20 20 (:REWRITE PREFIXP-REFLEXIVE))
 (18 18 (:REWRITE SUBSETP-MEMBER . 4))
 (18 18 (:REWRITE SUBSETP-MEMBER . 3))
 (18 18 (:REWRITE SUBSETP-MEMBER . 2))
 (18 18 (:REWRITE SUBSETP-MEMBER . 1))
 (18 18 (:REWRITE INTERSECTP-MEMBER . 3))
 (18 18 (:REWRITE INTERSECTP-MEMBER . 2))
 (18 18 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-42))
 (18 18 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-41))
 (18 18 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (17 9 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (16 16 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (16 8 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (14 14 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (6 6 (:TYPE-PRESCRIPTION FRAME-VAL))
 (6 2 (:REWRITE CTX-APP-OF-ABS-FS-FIX-1))
 (4 4 (:TYPE-PRESCRIPTION CTX-APP))
 (2 2 (:TYPE-PRESCRIPTION FRAME-VAL-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-PLACE-FILE-HELPER-OF-APPEND-LEMMA-2))
 (2 2 (:REWRITE FRAME-WITH-ROOT-OF-ABS-FS-FIX))
 (2 2 (:REWRITE ABSFAT-EQUIV-OF-ABS-FS-FIX))
 (2 2 (:REWRITE ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-72
 (50788 897 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (50229 1724 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (46390 286 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (41263 51 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-5))
 (39613 550 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (35743 1908 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (32047 55 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-2))
 (31867 1038 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (30657 485 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (27354 205 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (25034 616 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (24067 52 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-53))
 (23176 347 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (20987 639 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (20502 56 (:REWRITE EQUAL-OF-ABS-FILE))
 (20213 607 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (18979 56 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (18514 1237 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (16280 269 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (13209 413 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-52))
 (12256 292 (:REWRITE LEN-WHEN-PREFIXP))
 (12087 511 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (11240 1007 (:DEFINITION ASSOC-EQUAL))
 (10639 306 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (10370 3666 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (9707 110 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-20))
 (9072 1815 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (8630 483 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (8076 114 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (8006 584 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (7917 143 (:DEFINITION PUT-ASSOC-EQUAL))
 (7280 422 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (6995 317 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (6984 64 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-222))
 (6856 594 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (5827 3793 (:REWRITE DEFAULT-CDR))
 (5368 428 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (5066 5066 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (4756 584 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (4701 634 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (4612 119 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (4262 4262 (:REWRITE DEFAULT-CAR))
 (4260 292 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4131 292 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (4100 71 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (4001 406 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (3666 3666 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (3526 1206 (:REWRITE DEFAULT-+-2))
 (3285 111 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (3194 487 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (3100 110 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-ABS-PLACE-FILE-HELPER . 3))
 (2881 1627 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2704 616 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (2572 512 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (2541 239 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (2395 584 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (2332 2332 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2317 33 (:REWRITE ABS-ADDRS-OF-CTX-APP-LEMMA-6))
 (2300 2300 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2182 52 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (2071 261 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (2054 578 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1985 740 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1954 428 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (1954 55 (:REWRITE M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (1888 33 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (1798 1798 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1786 1786 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1786 404 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (1687 167 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (1606 1606 (:TYPE-PRESCRIPTION PREFIXP))
 (1600 320 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1554 1554 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1495 154 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (1449 1449 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1430 1430 (:TYPE-PRESCRIPTION ABS-PLACE-FILE-HELPER-OF-APPEND-LEMMA-2))
 (1410 51 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (1363 508 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (1304 1304 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-FIX))
 (1276 237 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (1206 1206 (:REWRITE DEFAULT-+-1))
 (1197 522 (:REWRITE DEFAULT-<-2))
 (1142 1142 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1101 1101 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (1099 522 (:REWRITE DEFAULT-<-1))
 (1086 181 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (855 855 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (843 71 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (832 832 (:LINEAR LEN-WHEN-PREFIXP))
 (805 187 (:REWRITE ABS-NO-DUPS-FILE-FIX-WHEN-ABS-NO-DUPS-FILE-P))
 (781 71 (:REWRITE SUBSETP-CAR-MEMBER))
 (777 777 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (760 760 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (740 740 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (639 142 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (606 71 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (584 584 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (584 584 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (584 584 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (584 584 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (584 584 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (584 584 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (568 142 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (560 40 (:REWRITE ZP-OPEN))
 (545 545 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (539 130 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (508 508 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (508 508 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (478 239 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (475 223 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (465 281 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (464 71 (:DEFINITION NATP))
 (436 45 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (428 428 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (420 420 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (404 404 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (396 396 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (391 391 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (391 391 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (390 390 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (388 388 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (371 74 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (351 351 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (349 349 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (343 343 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (343 343 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (320 320 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (296 296 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (286 52 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (284 284 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (233 233 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (233 233 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (213 213 (:TYPE-PRESCRIPTION NATP))
 (172 38 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX))
 (171 171 (:REWRITE ABS-NO-DUPS-FILE-P-OF-ABS-NO-DUPS-FILE-FIX))
 (168 168 (:TYPE-PRESCRIPTION ABS-FILE))
 (168 56 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (145 29 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (142 142 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (142 71 (:REWRITE SET-EQUIV-ASYM))
 (142 71 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (124 124 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (124 13 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (115 115 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (115 115 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (110 110 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (99 99 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (99 99 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (99 99 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (99 99 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (99 99 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (80 51 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (71 71 (:TYPE-PRESCRIPTION SET-EQUIV))
 (71 71 (:REWRITE SUBSETP-OF-CDR))
 (71 71 (:REWRITE SUBSETP-MEMBER . 4))
 (71 71 (:REWRITE SUBSETP-MEMBER . 3))
 (71 71 (:REWRITE SUBSETP-MEMBER . 2))
 (71 71 (:REWRITE SUBSETP-MEMBER . 1))
 (71 71 (:REWRITE MEMBER-WHEN-ATOM))
 (71 71 (:REWRITE INTERSECTP-MEMBER . 3))
 (71 71 (:REWRITE INTERSECTP-MEMBER . 2))
 (57 57 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (57 57 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (56 56 (:TYPE-PRESCRIPTION D-E-P))
 (56 56 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (56 56 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (55 55 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-NO-DUPS-FILE-FIX))
 (52 52 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (52 52 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (51 51 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (48 13 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (14 14 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-79))
 (5 5 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (4 4 (:REWRITE ABS-TOP-ADDRS-OF-ABS-FS-FIX))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-73
 (381 8 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (240 3 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (205 4 (:REWRITE LEN-WHEN-PREFIXP))
 (152 8 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (143 1 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (104 4 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (90 1 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (67 8 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (60 10 (:DEFINITION LEN))
 (57 4 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (40 10 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (35 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (30 10 (:REWRITE DEFAULT-+-2))
 (30 6 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (28 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (25 10 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (22 22 (:TYPE-PRESCRIPTION PREFIXP))
 (22 22 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (21 21 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (20 20 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (20 20 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (20 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (19 19 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (18 2 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (18 1 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (17 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (17 1 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (16 16 (:REWRITE DEFAULT-CDR))
 (15 7 (:REWRITE DEFAULT-<-2))
 (15 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (15 1 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (14 7 (:REWRITE DEFAULT-<-1))
 (14 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (13 1 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (12 9 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (10 10 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (10 10 (:REWRITE DEFAULT-+-1))
 (10 10 (:LINEAR LEN-WHEN-PREFIXP))
 (9 9 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (9 6 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (9 2 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (8 8 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (8 8 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (8 8 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (8 8 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (8 8 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (8 8 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (8 3 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (8 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (7 3 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (6 6 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (6 6 (:REWRITE DEFAULT-CAR))
 (6 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (6 1 (:REWRITE ABS-NO-DUPS-FILE-FIX-WHEN-ABS-NO-DUPS-FILE-P))
 (5 5 (:TYPE-PRESCRIPTION ABS-FS-P))
 (5 1 (:REWRITE NFIX-WHEN-NATP))
 (4 4 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (3 1 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (3 1 (:DEFINITION NATP))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (2 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-74
 (278 139 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (16 2 (:REWRITE DEFAULT-CDR))
 (7 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (7 1 (:DEFINITION ASSOC-EQUAL))
 (5 1 (:REWRITE NFIX-WHEN-NATP))
 (4 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (3 3 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (3 3 (:REWRITE DEFAULT-CAR))
 (3 1 (:DEFINITION NATP))
 (2 2 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-75
 (98025 2046 (:REWRITE LEN-WHEN-PREFIXP))
 (90366 2676 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (78660 2030 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (44203 2681 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (24790 2073 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (15462 1193 (:REWRITE DEFAULT-CAR))
 (14386 1673 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (12597 2644 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (11112 3558 (:REWRITE DEFAULT-+-2))
 (7760 40 (:REWRITE TAKE-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (7059 2327 (:REWRITE DEFAULT-<-2))
 (6793 6016 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (6692 78 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (6532 2327 (:REWRITE DEFAULT-<-1))
 (6202 6202 (:LINEAR LEN-WHEN-PREFIXP))
 (4775 2671 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (4309 37 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (4170 3558 (:REWRITE DEFAULT-+-1))
 (4121 1486 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (3918 1959 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (2819 1481 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (2676 2676 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2676 2676 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2676 2676 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (2676 2676 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1638 29 (:REWRITE CONSP-OF-NTHCDR))
 (1422 86 (:DEFINITION TRUE-LISTP))
 (1200 34 (:REWRITE CONSP-OF-TAKE))
 (1152 96 (:REWRITE ZP-OPEN))
 (927 37 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (847 172 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (605 37 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (444 74 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (442 172 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (333 333 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (270 270 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (270 270 (:TYPE-PRESCRIPTION D-E-P))
 (270 135 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (240 24 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (230 34 (:REWRITE FAT32-FILENAME-LIST-P-OF-TAKE))
 (222 37 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (185 185 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (185 74 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (185 74 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (172 172 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (170 170 (:TYPE-PRESCRIPTION TAKE))
 (135 135 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (135 135 (:REWRITE SET::IN-SET))
 (120 20 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (111 111 (:REWRITE CONSP-OF-LIST-FIX))
 (104 8 (:REWRITE COMMUTATIVITY-2-OF-+))
 (96 96 (:REWRITE CDR-CONS))
 (81 1 (:REWRITE LEN-OF-NTHCDR))
 (78 78 (:TYPE-PRESCRIPTION NFIX))
 (74 74 (:REWRITE SUBSETP-TRANS2))
 (74 74 (:REWRITE SUBSETP-TRANS))
 (53 53 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (48 48 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (48 48 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (39 39 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (37 37 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (33 1 (:DEFINITION NATP))
 (28 27 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (28 19 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (19 1 (:DEFINITION NFIX))
 (16 16 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (10 10 (:DEFINITION ATOM))
 (3 1 (:REWRITE DEFAULT-UNARY-MINUS))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:REWRITE CAR-OF-NTHCDR))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-76
 (146507 2506 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (125967 2615 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (122874 2615 (:REWRITE LEN-WHEN-PREFIXP))
 (119328 894 (:DEFINITION PREFIXP))
 (111510 1042 (:DEFINITION TRUE-LISTP))
 (103840 1498 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (93087 2507 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (91186 9530 (:REWRITE DEFAULT-CDR))
 (76777 724 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (64026 2615 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (59639 701 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (52135 701 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (19154 700 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (14468 4835 (:REWRITE DEFAULT-+-2))
 (13727 3683 (:REWRITE DEFAULT-CAR))
 (11728 2292 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (11642 2412 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (8944 23 (:REWRITE TAKE-WHEN-PREFIXP))
 (8888 1498 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (8634 8634 (:LINEAR LEN-WHEN-PREFIXP))
 (8634 8634 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (7843 2768 (:REWRITE DEFAULT-<-2))
 (7752 2768 (:REWRITE DEFAULT-<-1))
 (6932 79 (:REWRITE CONSP-OF-NTHCDR))
 (6648 6648 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (5644 2292 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (5124 5124 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (4879 4835 (:REWRITE DEFAULT-+-1))
 (3352 3352 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (3352 3352 (:TYPE-PRESCRIPTION D-E-P))
 (3352 1676 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (3324 3324 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2506 2506 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2506 2506 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2506 2506 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (2506 2506 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (2414 2414 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (2413 2413 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (2292 2292 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1676 1676 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (1676 1676 (:REWRITE SET::IN-SET))
 (1448 1448 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1448 1448 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (1448 1448 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (724 724 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (611 10 (:REWRITE LEN-OF-NTHCDR))
 (248 23 (:REWRITE ZP-OPEN))
 (182 12 (:DEFINITION NATP))
 (92 8 (:DEFINITION NFIX))
 (90 90 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (90 90 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (78 5 (:REWRITE COMMUTATIVITY-2-OF-+))
 (50 50 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (50 50 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (24 12 (:REWRITE DEFAULT-UNARY-MINUS))
 (21 21 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (12 12 (:TYPE-PRESCRIPTION NATP))
 (12 2 (:REWRITE DISTRIBUTIVITY-OF-MINUS-OVER-+))
 (10 10 (:REWRITE CAR-OF-NTHCDR))
 (4 2 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (2 1 (:REWRITE PREFIXP-OF-CONS-LEFT))
 (1 1 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-77
 (4967 81 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (4333 7 (:REWRITE TAKE-WHEN-PREFIXP))
 (4331 78 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (3473 91 (:REWRITE LEN-WHEN-PREFIXP))
 (3372 91 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3140 32 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (2438 81 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (2155 72 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (1244 197 (:DEFINITION LEN))
 (1154 6 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (943 4 (:REWRITE TAKE-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (771 282 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (766 78 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (604 91 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (602 208 (:REWRITE DEFAULT-+-2))
 (507 41 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (403 141 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (339 108 (:REWRITE DEFAULT-<-2))
 (321 321 (:TYPE-PRESCRIPTION PREFIXP))
 (305 108 (:REWRITE DEFAULT-<-1))
 (290 287 (:REWRITE DEFAULT-CDR))
 (279 54 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (276 276 (:LINEAR LEN-WHEN-PREFIXP))
 (276 276 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (270 18 (:DEFINITION TRUE-LISTP))
 (221 221 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (219 12 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (208 208 (:REWRITE DEFAULT-+-1))
 (201 21 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (199 21 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (171 36 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (156 3 (:DEFINITION NTHCDR))
 (135 135 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (117 3 (:REWRITE CONSP-OF-NTHCDR))
 (106 3 (:REWRITE CONSP-OF-TAKE))
 (105 105 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (92 74 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (90 72 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (90 54 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (90 54 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (90 36 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (81 81 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (81 81 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (81 81 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (81 81 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (81 72 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (74 74 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (74 74 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (72 69 (:REWRITE DEFAULT-CAR))
 (66 33 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (60 15 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (54 54 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (54 54 (:TYPE-PRESCRIPTION D-E-P))
 (54 54 (:REWRITE SUBSETP-TRANS2))
 (54 54 (:REWRITE SUBSETP-TRANS))
 (54 54 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (54 27 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (36 36 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (32 32 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (30 15 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (27 27 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (27 27 (:REWRITE SET::IN-SET))
 (27 27 (:REWRITE CONSP-OF-LIST-FIX))
 (21 21 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (18 5 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (18 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-TAKE))
 (18 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (9 9 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (9 9 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (9 3 (:REWRITE COMMUTATIVITY-OF-+))
 (8 8 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (4 4 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 )
(PAINFUL-DEBUGGING-LEMMA-18
 (14 14 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (10 6 (:REWRITE DEFAULT-<-2))
 (10 6 (:REWRITE DEFAULT-<-1))
 (8 4 (:REWRITE DEFAULT-+-1))
 (6 4 (:REWRITE DEFAULT-+-2))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78
 (287 6 (:REWRITE LEN-WHEN-PREFIXP))
 (240 3 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (217 12 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (205 205 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (144 12 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (118 6 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (96 16 (:DEFINITION LEN))
 (82 6 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (53 13 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (48 16 (:REWRITE DEFAULT-+-2))
 (44 12 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (35 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (31 31 (:TYPE-PRESCRIPTION PREFIXP))
 (26 26 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (26 26 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (22 22 (:REWRITE DEFAULT-CDR))
 (18 6 (:REWRITE DEFAULT-<-2))
 (18 6 (:REWRITE DEFAULT-<-1))
 (16 16 (:REWRITE DEFAULT-+-1))
 (13 13 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (12 12 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (12 12 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (12 12 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (12 12 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (12 12 (:LINEAR LEN-WHEN-PREFIXP))
 (10 10 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (10 10 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (6 6 (:REWRITE DEFAULT-CAR))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (2 2 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (2 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (2 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-79
 (14942 368 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (10277 157 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (8979 220 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (7446 110 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (4946 368 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (3274 366 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2626 157 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (2613 157 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (2571 157 (:REWRITE LEN-WHEN-PREFIXP))
 (1522 366 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1436 318 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (1405 477 (:REWRITE DEFAULT-+-2))
 (1314 220 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (881 820 (:REWRITE DEFAULT-CDR))
 (792 366 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (772 772 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (724 724 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (711 280 (:REWRITE DEFAULT-<-1))
 (708 280 (:REWRITE DEFAULT-<-2))
 (524 524 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (477 477 (:REWRITE DEFAULT-+-1))
 (471 386 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (423 419 (:REWRITE DEFAULT-CAR))
 (411 326 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (277 220 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (240 48 (:REWRITE SECOND-OF-TAKE))
 (234 8 (:REWRITE PREFIXP-OF-TAKE))
 (220 220 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (220 220 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (164 50 (:REWRITE CONSP-OF-TAKE))
 (110 110 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (76 19 (:REWRITE CAR-OF-TAKE))
 (63 63 (:REWRITE ZP-OPEN))
 (33 10 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (26 26 (:TYPE-PRESCRIPTION ZP))
 (24 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-TAKE))
 (20 4 (:REWRITE FOLD-CONSTS-IN-+))
 (12 6 (:REWRITE LIST-EQUIV-OF-NIL-LEFT))
 (10 10 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (8 4 (:REWRITE UNICITY-OF-0))
 (4 4 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (4 4 (:REWRITE CDR-CONS))
 (3 1 (:DEFINITION NATP))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-80
 (2401 38 (:REWRITE LEN-WHEN-PREFIXP))
 (1920 80 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (1200 116 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (856 84 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (853 154 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (692 38 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (602 38 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (591 203 (:REWRITE DEFAULT-+-2))
 (569 38 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (293 76 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (276 245 (:REWRITE DEFAULT-CDR))
 (234 234 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (223 89 (:REWRITE DEFAULT-<-2))
 (221 221 (:TYPE-PRESCRIPTION PREFIXP))
 (218 89 (:REWRITE DEFAULT-<-1))
 (203 203 (:REWRITE DEFAULT-+-1))
 (197 117 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (197 117 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (176 176 (:LINEAR LEN-WHEN-PREFIXP))
 (116 30 (:REWRITE CONSP-OF-TAKE))
 (115 109 (:REWRITE DEFAULT-CAR))
 (113 80 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (107 80 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (80 80 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (80 80 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (80 80 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (80 80 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (68 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (51 39 (:REWRITE ZP-OPEN))
 (40 8 (:REWRITE FAT32-FILENAME-LIST-P-OF-TAKE))
 (36 9 (:REWRITE CAR-OF-TAKE))
 (28 28 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (16 4 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (14 4 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (12 12 (:TYPE-PRESCRIPTION ZP))
 (12 2 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (10 2 (:REWRITE FOLD-CONSTS-IN-+))
 (8 8 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (8 8 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 2 (:REWRITE UNICITY-OF-0))
 (4 2 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 1 (:DEFINITION NATP))
 (2 2 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(TAKE-WHEN-PREFIXP-REPLACEMENT
 (22587 594 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (15221 308 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (13140 242 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (12108 136 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (6695 244 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (6524 242 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (2307 562 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (2117 727 (:REWRITE DEFAULT-+-2))
 (1616 98 (:DEFINITION TRUE-LISTP))
 (1598 308 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (1426 1426 (:REWRITE DEFAULT-CDR))
 (1263 36 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (1214 1214 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1011 36 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (1007 1007 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (896 196 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (867 291 (:REWRITE DEFAULT-<-2))
 (815 291 (:REWRITE DEFAULT-<-1))
 (727 727 (:REWRITE DEFAULT-+-1))
 (714 36 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (712 712 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (620 620 (:REWRITE DEFAULT-CAR))
 (607 607 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (594 594 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (594 594 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (594 594 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (594 594 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (564 564 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (476 196 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (412 412 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (289 289 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (289 289 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (289 289 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (280 280 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (280 280 (:TYPE-PRESCRIPTION D-E-P))
 (280 140 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (196 196 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (140 140 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (140 140 (:REWRITE SET::IN-SET))
 (136 136 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (36 36 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (29 29 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (29 29 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (22 22 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (19 19 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (19 19 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 )
(TAKE-WHEN-FAT32-FILENAME-LIST-PREFIXP-REPLACEMENT
 (10977 271 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (6713 336 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (5359 131 (:REWRITE LEN-WHEN-PREFIXP))
 (3960 142 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (3303 29 (:REWRITE TAKE-WHEN-PREFIXP-REPLACEMENT . 1))
 (2048 143 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (1895 131 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (1533 458 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1351 471 (:REWRITE DEFAULT-+-2))
 (1023 26 (:REWRITE CONSP-OF-TAKE))
 (916 916 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (901 261 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (672 225 (:REWRITE DEFAULT-<-2))
 (670 670 (:REWRITE DEFAULT-CDR))
 (600 50 (:REWRITE ZP-OPEN))
 (513 225 (:REWRITE DEFAULT-<-1))
 (471 471 (:REWRITE DEFAULT-+-1))
 (348 29 (:REWRITE TAKE-WHEN-PREFIXP))
 (336 336 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (336 336 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (336 336 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (336 336 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (334 334 (:LINEAR LEN-WHEN-PREFIXP))
 (265 262 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (240 240 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (240 240 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (240 240 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (216 216 (:REWRITE DEFAULT-CAR))
 (172 26 (:REWRITE FAT32-FILENAME-LIST-P-OF-TAKE))
 (154 14 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (130 130 (:TYPE-PRESCRIPTION TAKE))
 (84 14 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (74 74 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (74 74 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (42 42 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (28 28 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (28 28 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (26 26 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (22 22 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (2 1 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-81
 (3 3 (:REWRITE DEFAULT-CDR))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-82
 (143 13 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (104 19 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (78 13 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (60 60 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (31 30 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (26 26 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (26 26 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (13 13 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(LEMMA
 (1384 46 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (1252 88 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (1054 1054 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (952 62 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (940 366 (:REWRITE DEFAULT-CDR))
 (828 160 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (646 254 (:REWRITE DEFAULT-+-2))
 (642 62 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (342 190 (:REWRITE DEFAULT-<-2))
 (322 10 (:REWRITE CONSP-OF-NTHCDR))
 (320 320 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (304 78 (:REWRITE DEFAULT-CAR))
 (254 254 (:REWRITE DEFAULT-+-1))
 (218 190 (:REWRITE DEFAULT-<-1))
 (188 188 (:LINEAR LEN-WHEN-PREFIXP))
 (188 188 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (168 168 (:TYPE-PRESCRIPTION TAKE))
 (148 36 (:REWRITE CONSP-OF-TAKE))
 (124 124 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (124 124 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (90 24 (:REWRITE ZP-OPEN))
 (84 12 (:REWRITE FAT32-FILENAME-LIST-P-OF-TAKE))
 (82 82 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (72 12 (:REWRITE CAR-OF-TAKE))
 (30 10 (:REWRITE FOLD-CONSTS-IN-+))
 (30 10 (:DEFINITION NFIX))
 (30 10 (:DEFINITION NATP))
 (10 10 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-83
 (5536 302 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (3035 3011 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (2806 274 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (2142 357 (:DEFINITION LEN))
 (1590 778 (:REWRITE DEFAULT-+-2))
 (1484 147 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1174 633 (:REWRITE DEFAULT-<-2))
 (1142 55 (:REWRITE CONSP-OF-NTHCDR))
 (884 778 (:REWRITE DEFAULT-+-1))
 (856 633 (:REWRITE DEFAULT-<-1))
 (588 456 (:REWRITE DEFAULT-CDR))
 (555 269 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (470 470 (:LINEAR LEN-WHEN-PREFIXP))
 (470 470 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (355 18 (:REWRITE FAT32-FILENAME-LIST-P-OF-TAKE))
 (332 28 (:DEFINITION NATP))
 (294 294 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (269 269 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (173 115 (:REWRITE ZP-OPEN))
 (90 90 (:TYPE-PRESCRIPTION TAKE))
 (77 76 (:REWRITE DEFAULT-UNARY-MINUS))
 (74 18 (:REWRITE CONSP-OF-TAKE))
 (62 62 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (42 42 (:REWRITE FOLD-CONSTS-IN-+))
 (28 28 (:TYPE-PRESCRIPTION NATP))
 (19 19 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (14 14 (:TYPE-PRESCRIPTION ZP))
 (13 13 (:REWRITE DEFAULT-CAR))
 (5 5 (:REWRITE CAR-OF-NTHCDR))
 )
(PAINFUL-DEBUGGING-LEMMA-19
 (23 23 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (15 10 (:REWRITE DEFAULT-<-1))
 (15 8 (:REWRITE DEFAULT-+-2))
 (15 8 (:REWRITE DEFAULT-+-1))
 (14 10 (:REWRITE DEFAULT-<-2))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85
 (33 33 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (24 4 (:DEFINITION LEN))
 (13 5 (:REWRITE DEFAULT-+-2))
 (9 5 (:REWRITE DEFAULT-<-2))
 (7 1 (:DEFINITION TAKE))
 (6 2 (:REWRITE NFIX-WHEN-NATP))
 (6 1 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (5 5 (:REWRITE DEFAULT-CDR))
 (5 5 (:REWRITE DEFAULT-<-1))
 (5 5 (:REWRITE DEFAULT-+-1))
 (3 1 (:DEFINITION NATP))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE ZP-OPEN))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1 1 (:REWRITE DEFAULT-CAR))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-86
 (6822 146 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (3736 63 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3284 84 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (2873 42 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (983 63 (:REWRITE LEN-WHEN-PREFIXP))
 (887 63 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (866 63 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (863 309 (:REWRITE DEFAULT-+-2))
 (497 142 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (404 84 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (387 383 (:REWRITE DEFAULT-CDR))
 (311 119 (:REWRITE DEFAULT-<-1))
 (309 309 (:REWRITE DEFAULT-+-1))
 (288 119 (:REWRITE DEFAULT-<-2))
 (274 274 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (270 270 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (162 162 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (146 146 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (146 146 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (146 146 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (146 146 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (145 145 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (135 135 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (122 118 (:REWRITE DEFAULT-CAR))
 (84 84 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (84 84 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (84 84 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (84 84 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (49 25 (:REWRITE ZP-OPEN))
 (42 42 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (24 8 (:REWRITE FOLD-CONSTS-IN-+))
 (5 1 (:REWRITE NFIX-WHEN-NATP))
 (3 1 (:DEFINITION NATP))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-87
 (1608 45 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (816 12 (:REWRITE LEN-WHEN-PREFIXP))
 (660 24 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (336 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (306 12 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (238 84 (:REWRITE DEFAULT-+-2))
 (204 24 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (189 54 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (174 12 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (98 98 (:REWRITE DEFAULT-CDR))
 (84 84 (:REWRITE DEFAULT-+-1))
 (84 24 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (78 78 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (77 35 (:REWRITE DEFAULT-<-1))
 (66 66 (:TYPE-PRESCRIPTION PREFIXP))
 (65 35 (:REWRITE DEFAULT-<-2))
 (48 48 (:LINEAR LEN-WHEN-PREFIXP))
 (46 46 (:REWRITE DEFAULT-CAR))
 (45 45 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (45 45 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (45 45 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (45 45 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (39 39 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (37 5 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (24 24 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (24 24 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (24 24 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (24 24 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (24 24 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (24 24 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (23 4 (:REWRITE CONSP-OF-TAKE))
 (19 16 (:REWRITE ZP-OPEN))
 (10 10 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (9 9 (:TYPE-PRESCRIPTION TAKE))
 (5 1 (:REWRITE NFIX-WHEN-NATP))
 (3 1 (:DEFINITION NATP))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-88
 (8539 69 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (6007 66 (:REWRITE LEN-WHEN-PREFIXP))
 (4639 132 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (2612 327 (:DEFINITION LEN))
 (2259 66 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (1548 66 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1404 132 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1275 270 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (1184 72 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (1111 1111 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (1079 587 (:REWRITE DEFAULT-CDR))
 (993 66 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (891 458 (:REWRITE DEFAULT-<-2))
 (808 458 (:REWRITE DEFAULT-<-1))
 (670 570 (:REWRITE DEFAULT-+-1))
 (516 132 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (497 193 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (470 224 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (436 436 (:LINEAR LEN-WHEN-PREFIXP))
 (386 386 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (384 32 (:DEFINITION NATP))
 (378 132 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (378 132 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (363 363 (:TYPE-PRESCRIPTION PREFIXP))
 (226 226 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (222 222 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (157 157 (:REWRITE DEFAULT-CAR))
 (132 132 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (132 132 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (132 132 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (132 132 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (119 79 (:REWRITE ZP-OPEN))
 (92 18 (:REWRITE CONSP-OF-TAKE))
 (90 90 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (88 83 (:REWRITE DEFAULT-UNARY-MINUS))
 (66 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-83))
 (48 48 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (48 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-66))
 (46 2 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-NTHCDR-NTHCDR))
 (32 32 (:TYPE-PRESCRIPTION NATP))
 (21 21 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (18 18 (:REWRITE FOLD-CONSTS-IN-+))
 (13 13 (:TYPE-PRESCRIPTION ZP))
 (10 10 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (9 9 (:REWRITE CAR-OF-NTHCDR))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-89
 (72325 1184 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (71942 2339 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (57307 717 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (51048 2855 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (47178 1356 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (36924 806 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (36729 297 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (33846 431 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (30544 76 (:REWRITE EQUAL-OF-ABS-FILE))
 (28584 76 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (26810 1667 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (25029 825 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (20998 356 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (20267 510 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-52))
 (15893 487 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (15104 152 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-20))
 (14894 642 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (14104 5021 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (13978 1269 (:DEFINITION ASSOC-EQUAL))
 (12490 2440 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (12363 178 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (12037 52 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (10128 183 (:DEFINITION PUT-ASSOC-EQUAL))
 (10026 92 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-222))
 (9322 28 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-53))
 (8986 14 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-5))
 (8951 555 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8796 791 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (8024 139 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (6817 39 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (6704 845 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (6475 159 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (6030 131 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (6005 603 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (5092 152 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-ABS-PLACE-FILE-HELPER . 3))
 (5026 4978 (:REWRITE DEFAULT-CAR))
 (5021 5021 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (4945 803 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4560 65 (:REWRITE ABS-ADDRS-OF-CTX-APP-LEMMA-6))
 (4338 33 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-80))
 (3798 2217 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3705 65 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (3556 806 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (3321 313 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (2904 2904 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2716 986 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2681 737 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2612 76 (:REWRITE M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (2580 345 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (2467 2467 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (2389 46 (:REWRITE LEN-WHEN-PREFIXP))
 (2318 2318 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2312 2312 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2272 524 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (2253 231 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (2238 217 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (2072 28 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (1976 1976 (:TYPE-PRESCRIPTION ABS-PLACE-FILE-HELPER-OF-APPEND-LEMMA-2))
 (1922 388 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1899 1899 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1836 702 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (1699 131 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (1699 80 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (1624 1624 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-FIX))
 (1616 305 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (1548 183 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1529 139 (:REWRITE SUBSETP-CAR-MEMBER))
 (1468 177 (:REWRITE ZP-OPEN))
 (1298 286 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1248 228 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1134 1134 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (1132 171 (:DEFINITION NATP))
 (1032 675 (:REWRITE DEFAULT-<-2))
 (996 221 (:REWRITE ABS-NO-DUPS-FILE-FIX-WHEN-ABS-NO-DUPS-FILE-P))
 (986 986 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (942 942 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (845 675 (:REWRITE DEFAULT-<-1))
 (827 399 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (798 798 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (734 734 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (734 301 (:REWRITE DEFAULT-+-2))
 (702 702 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (702 702 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (678 76 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (677 80 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (675 46 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (669 192 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (626 313 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (620 91 (:REWRITE CONSP-OF-TAKE))
 (585 351 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (582 138 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (549 549 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (524 524 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (518 266 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (502 40 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (485 14 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (482 482 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (478 478 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (434 434 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (425 425 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (425 425 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (419 419 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (388 388 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (363 68 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (349 40 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (340 340 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (338 111 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (335 74 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX))
 (312 312 (:LINEAR LEN-WHEN-PREFIXP))
 (312 312 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (301 301 (:REWRITE DEFAULT-+-1))
 (278 139 (:REWRITE SET-EQUIV-ASYM))
 (278 139 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (269 269 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (260 260 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (246 33 (:REWRITE FAT32-FILENAME-LIST-P-OF-TAKE))
 (228 228 (:TYPE-PRESCRIPTION ABS-FILE))
 (228 76 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (224 224 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (217 217 (:TYPE-PRESCRIPTION PREFIXP))
 (185 185 (:REWRITE ABS-NO-DUPS-FILE-P-OF-ABS-NO-DUPS-FILE-FIX))
 (180 9 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (170 170 (:REWRITE SUBSETP-MEMBER . 4))
 (170 170 (:REWRITE SUBSETP-MEMBER . 3))
 (170 170 (:REWRITE INTERSECTP-MEMBER . 3))
 (170 170 (:REWRITE INTERSECTP-MEMBER . 2))
 (168 28 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (165 165 (:REWRITE SUBSETP-MEMBER . 2))
 (165 5 (:LINEAR LEN-OF-MEMBER))
 (152 152 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (150 30 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (145 145 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (143 143 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (143 143 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (143 143 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (143 143 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (143 143 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (139 139 (:TYPE-PRESCRIPTION SET-EQUIV))
 (139 139 (:REWRITE SUBSETP-OF-CDR))
 (130 14 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (128 23 (:DEFINITION STRIP-CARS))
 (126 14 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (123 19 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (111 111 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (111 111 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (111 111 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (111 111 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (100 50 (:REWRITE LEN-OF-TAKE))
 (93 93 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (92 80 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (90 90 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-CORRECTNESS-1 . 2))
 (84 42 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (81 77 (:REWRITE NFIX-WHEN-NATP))
 (80 80 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (80 80 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (80 80 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (80 80 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (80 74 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (76 76 (:TYPE-PRESCRIPTION D-E-P))
 (76 76 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (69 12 (:REWRITE CAR-OF-TAKE))
 (59 59 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-NO-DUPS-FILE-FIX))
 (56 56 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (56 28 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (52 14 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (42 42 (:TYPE-PRESCRIPTION ADDRS-AT))
 (41 41 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (35 7 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (28 14 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (26 20 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (21 21 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-79))
 (18 18 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (18 18 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (16 2 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (16 2 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (14 14 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (14 14 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-72))
 (14 14 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (9 9 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (6 6 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (6 6 (:DEFINITION ATOM))
 (5 5 (:REWRITE SUBSETP-TRANS2))
 (5 5 (:REWRITE SUBSETP-TRANS))
 (3 3 (:REWRITE SUBSETP-NIL))
 (3 3 (:REWRITE SET-EQUIV-OF-NIL))
 (3 3 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (2 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-90
 (462 18 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (266 10 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (246 24 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (198 42 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (191 191 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (185 17 (:DEFINITION NATP))
 (168 84 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (168 18 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (110 10 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (90 18 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (85 13 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (84 84 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (84 14 (:DEFINITION LEN))
 (82 34 (:REWRITE DEFAULT-+-2))
 (73 10 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (72 12 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (60 12 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (60 12 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (60 10 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (57 37 (:REWRITE DEFAULT-<-2))
 (50 10 (:REWRITE MEMBER-WHEN-ATOM))
 (45 9 (:REWRITE CONSP-OF-TAKE))
 (45 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (44 44 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (44 44 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (37 37 (:REWRITE DEFAULT-<-1))
 (34 34 (:REWRITE DEFAULT-+-1))
 (32 32 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (29 29 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (27 27 (:REWRITE ZP-OPEN))
 (27 6 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (26 26 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (26 26 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (25 13 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (24 24 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (23 23 (:REWRITE DEFAULT-CDR))
 (21 6 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (18 18 (:TYPE-PRESCRIPTION TAKE))
 (18 18 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (18 18 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (18 3 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (13 13 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (12 12 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (10 10 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (10 10 (:REWRITE SUBSETP-MEMBER . 4))
 (10 10 (:REWRITE SUBSETP-MEMBER . 3))
 (10 10 (:REWRITE SUBSETP-MEMBER . 2))
 (10 10 (:REWRITE SUBSETP-MEMBER . 1))
 (10 10 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (10 10 (:REWRITE INTERSECTP-MEMBER . 3))
 (10 10 (:REWRITE INTERSECTP-MEMBER . 2))
 (9 9 (:TYPE-PRESCRIPTION ZP))
 (9 9 (:REWRITE DEFAULT-CAR))
 (9 3 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (8 8 (:LINEAR LEN-WHEN-PREFIXP))
 (8 8 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4 4 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (4 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (3 3 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (3 3 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91
 (381 191 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (101 11 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (74 5 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (62 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (60 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (56 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (50 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (44 2 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (37 5 (:DEFINITION ASSOC-EQUAL))
 (36 16 (:REWRITE DEFAULT-CDR))
 (36 12 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (34 4 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (31 25 (:REWRITE DEFAULT-CAR))
 (28 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (27 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (25 6 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (24 24 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (24 1 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (22 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (22 2 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (20 4 (:DEFINITION STRIP-CARS))
 (17 1 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (14 2 (:DEFINITION NATP))
 (12 12 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (12 12 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (12 5 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (10 10 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (10 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (8 5 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (8 2 (:REWRITE MEMBER-WHEN-ATOM))
 (8 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (7 7 (:REWRITE SUBSETP-TRANS2))
 (7 7 (:REWRITE SUBSETP-TRANS))
 (6 6 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (6 6 (:TYPE-PRESCRIPTION ABS-FS-P))
 (6 5 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (5 5 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (4 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (4 2 (:REWRITE SET-EQUIV-ASYM))
 (4 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (3 3 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (3 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3 1 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION SET-EQUIV))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE SUBSETP-OF-CDR))
 (2 2 (:REWRITE SUBSETP-MEMBER . 4))
 (2 2 (:REWRITE SUBSETP-MEMBER . 3))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 3))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 (2 2 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2 2 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (2 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-92
 (1188 87 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (1019 21 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (956 16 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (831 16 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (721 12 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (614 181 (:REWRITE DEFAULT-CDR))
 (483 8 (:REWRITE LEN-WHEN-PREFIXP))
 (469 40 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (399 52 (:DEFINITION ASSOC-EQUAL))
 (345 45 (:DEFINITION LEN))
 (287 1 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (243 243 (:REWRITE DEFAULT-CAR))
 (238 43 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (238 8 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (190 11 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (173 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (166 43 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (146 146 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (137 47 (:REWRITE DEFAULT-+-2))
 (119 1 (:DEFINITION NTHCDR))
 (102 8 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (82 82 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (62 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (52 1 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (47 47 (:REWRITE DEFAULT-+-1))
 (44 44 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (44 44 (:LINEAR LEN-WHEN-PREFIXP))
 (42 33 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (41 41 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (41 13 (:REWRITE DEFAULT-<-2))
 (40 40 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (40 40 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (40 40 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (40 40 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (36 36 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (34 34 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (33 13 (:REWRITE DEFAULT-<-1))
 (32 32 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (24 15 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (24 15 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (24 1 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (17 17 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (17 1 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (16 16 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (16 16 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (16 16 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (16 16 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (14 2 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (13 7 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (11 11 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (11 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (10 2 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (7 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-69))
 (5 2 (:REWRITE NFIX-WHEN-NATP))
 (5 1 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (4 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-61))
 (4 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (4 1 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (4 1 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (4 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-52))
 (3 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3 1 (:REWRITE COMMUTATIVITY-OF-+))
 (3 1 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (3 1 (:DEFINITION NATP))
 (2 2 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (2 2 (:TYPE-PRESCRIPTION NFIX))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (2 2 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (2 2 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (2 1 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-93
 (929 16 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (821 16 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (759 161 (:REWRITE DEFAULT-CDR))
 (721 12 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (667 10 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (646 44 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (638 32 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (483 8 (:REWRITE LEN-WHEN-PREFIXP))
 (403 54 (:DEFINITION ASSOC-EQUAL))
 (355 36 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (348 25 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (306 1 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (249 33 (:DEFINITION LEN))
 (238 8 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (216 216 (:REWRITE DEFAULT-CAR))
 (180 9 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (173 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (142 38 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (128 128 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (119 1 (:DEFINITION NTHCDR))
 (102 8 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (101 35 (:REWRITE DEFAULT-+-2))
 (62 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (52 1 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (49 15 (:REWRITE DEFAULT-<-2))
 (38 38 (:LINEAR LEN-WHEN-PREFIXP))
 (38 32 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (35 35 (:REWRITE DEFAULT-+-1))
 (35 15 (:REWRITE DEFAULT-<-1))
 (34 34 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (32 32 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (32 32 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (32 32 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (28 28 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (26 26 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (26 14 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (25 25 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (25 25 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (25 25 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (24 24 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (24 1 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (23 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-52))
 (17 17 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (17 1 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (16 16 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (16 16 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (16 16 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (16 16 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (14 2 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (11 11 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (11 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (10 2 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (10 2 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (10 2 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (5 2 (:REWRITE NFIX-WHEN-NATP))
 (5 2 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (5 1 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (4 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3 1 (:REWRITE COMMUTATIVITY-OF-+))
 (3 1 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (3 1 (:DEFINITION NATP))
 (2 2 (:TYPE-PRESCRIPTION NFIX))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (2 2 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (2 1 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (1 1 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94
 (4 1 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (1 1 (:REWRITE MV-NTH-OF-CONS))
 (1 1 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95
 (2856 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (2092 44 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (1776 44 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (1568 24 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (1494 16 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (1128 24 (:REWRITE LEN-WHEN-PREFIXP))
 (1060 24 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (884 24 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (550 354 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (338 24 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (336 48 (:DEFINITION LEN))
 (268 24 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (224 76 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (200 88 (:REWRITE DEFAULT-CDR))
 (196 72 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (178 24 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (176 2 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (144 48 (:REWRITE DEFAULT-+-2))
 (138 138 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (112 4 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (110 110 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (104 31 (:REWRITE DEFAULT-<-2))
 (97 31 (:REWRITE DEFAULT-<-1))
 (92 92 (:TYPE-PRESCRIPTION PREFIXP))
 (82 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (76 76 (:LINEAR LEN-WHEN-PREFIXP))
 (76 76 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (72 16 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (68 44 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (64 4 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (62 4 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (60 16 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (60 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (48 48 (:REWRITE DEFAULT-+-1))
 (46 4 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (44 44 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (44 44 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (44 44 (:REWRITE DEFAULT-CAR))
 (44 44 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (40 40 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (36 36 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (36 24 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (36 24 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (32 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-69))
 (32 4 (:DEFINITION ASSOC-EQUAL))
 (28 14 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (24 24 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (24 24 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (24 24 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (24 24 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (24 2 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (22 8 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (22 4 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (20 20 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (18 18 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (16 16 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (16 16 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (16 16 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (16 16 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (16 16 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (16 16 (:REWRITE SUBSETP-TRANS2))
 (16 16 (:REWRITE SUBSETP-TRANS))
 (16 10 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (16 2 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (12 6 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (10 10 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (10 4 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (8 8 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (8 8 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (8 8 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (8 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-61))
 (6 2 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (6 2 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 2 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (4 2 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (4 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (3 2 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (2 2 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (2 2 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2 2 (:REWRITE MV-NTH-OF-CONS))
 (2 2 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2 2 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-73))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (2 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-96
 (4034 6 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (3765 10 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (3523 18 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (3449 58 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (2283 27 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (2053 27 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (1976 27 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1969 225 (:REWRITE DEFAULT-CDR))
 (1440 18 (:REWRITE LEN-WHEN-PREFIXP))
 (1087 16 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-93))
 (1009 22 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (983 7 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (973 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (938 41 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (924 56 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (896 28 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (869 385 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (834 16 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-92))
 (740 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (333 41 (:DEFINITION LEN))
 (328 18 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (313 15 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (292 5 (:DEFINITION NTHCDR))
 (286 15 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (270 18 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (266 257 (:REWRITE DEFAULT-CAR))
 (258 6 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (236 9 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (195 73 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (185 3 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (182 54 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (164 47 (:REWRITE DEFAULT-<-2))
 (155 155 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (151 151 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (133 51 (:REWRITE DEFAULT-+-2))
 (128 128 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (119 47 (:REWRITE DEFAULT-<-1))
 (118 9 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (117 12 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (102 14 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (84 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (80 80 (:TYPE-PRESCRIPTION PREFIXP))
 (80 80 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (80 56 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (75 3 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (74 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (66 24 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (64 64 (:LINEAR LEN-WHEN-PREFIXP))
 (64 64 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (63 3 (:REWRITE SET-EQUIV-OF-NIL))
 (62 11 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (58 58 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (56 56 (:TYPE-PRESCRIPTION STRIP-CARS))
 (56 56 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (56 56 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (56 56 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (54 54 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (54 30 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-69))
 (54 27 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (54 27 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (51 51 (:REWRITE DEFAULT-+-1))
 (51 6 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (48 24 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (46 3 (:DEFINITION ATOM))
 (42 9 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (42 3 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (38 6 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (33 15 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (33 3 (:REWRITE SUBSETP-CAR-MEMBER))
 (33 3 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (30 30 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-61))
 (28 28 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (28 28 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (27 27 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (27 27 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (27 27 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (27 27 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (22 22 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (22 22 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (22 22 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (21 21 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (21 3 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (21 3 (:DEFINITION NATP))
 (19 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-52))
 (18 12 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (18 6 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (17 17 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (16 16 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (15 15 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (15 8 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (15 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (15 5 (:REWRITE COMMUTATIVITY-OF-+))
 (15 3 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (14 14 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (14 14 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (14 14 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (12 12 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-FS-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (12 6 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (12 6 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (12 4 (:REWRITE NFIX-WHEN-NATP))
 (12 3 (:REWRITE MEMBER-WHEN-ATOM))
 (12 3 (:DEFINITION STRIP-CARS))
 (10 10 (:TYPE-PRESCRIPTION NFIX))
 (10 2 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (9 9 (:TYPE-PRESCRIPTION NATP))
 (9 9 (:REWRITE CONSP-OF-STRIP-CARS))
 (9 3 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (8 8 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (7 7 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (6 6 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (6 6 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-73))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (6 3 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (6 3 (:REWRITE SET-EQUIV-ASYM))
 (6 3 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (5 5 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (4 4 (:REWRITE MV-NTH-OF-CONS))
 (3 3 (:TYPE-PRESCRIPTION SET-EQUIV))
 (3 3 (:REWRITE SUBSETP-TRANS2))
 (3 3 (:REWRITE SUBSETP-TRANS))
 (3 3 (:REWRITE SUBSETP-OF-CDR))
 (3 3 (:REWRITE SUBSETP-NIL))
 (3 3 (:REWRITE SUBSETP-MEMBER . 4))
 (3 3 (:REWRITE SUBSETP-MEMBER . 3))
 (3 3 (:REWRITE SUBSETP-MEMBER . 2))
 (3 3 (:REWRITE SUBSETP-MEMBER . 1))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 3))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 2))
 (3 3 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3 3 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-97
 (115 41 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (63 10 (:REWRITE DEFAULT-CDR))
 (39 1 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (37 5 (:DEFINITION ASSOC-EQUAL))
 (18 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (15 15 (:REWRITE DEFAULT-CAR))
 (10 10 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (8 4 (:REWRITE DEFAULT-<-2))
 (4 4 (:REWRITE DEFAULT-<-1))
 (2 2 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (1 1 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (1 1 (:REWRITE MV-NTH-OF-CONS))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-98
 (13226 430 (:REWRITE DEFAULT-CDR))
 (11952 24 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (11837 11 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (11736 11 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-97))
 (11480 11 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (10853 196 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (9951 46 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (7528 201 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (7311 125 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (7294 125 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (7075 95 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (6724 150 (:DEFINITION LEN))
 (6483 91 (:REWRITE LEN-WHEN-PREFIXP))
 (5767 125 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (5434 4 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (4151 1812 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (3044 196 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (2648 91 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2627 80 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (1521 4 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (1450 12 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (1445 91 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (1296 372 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1279 11 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (969 47 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (941 48 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (693 118 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (684 11 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (662 27 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (662 11 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (600 600 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (523 133 (:REWRITE DEFAULT-<-2))
 (520 164 (:REWRITE DEFAULT-+-2))
 (508 226 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (457 133 (:REWRITE DEFAULT-<-1))
 (412 6 (:DEFINITION NTHCDR))
 (409 409 (:TYPE-PRESCRIPTION PREFIXP))
 (406 406 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (403 370 (:REWRITE DEFAULT-CAR))
 (374 374 (:LINEAR LEN-WHEN-PREFIXP))
 (356 27 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (342 196 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (316 112 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (308 11 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (275 11 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (254 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-93))
 (243 125 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (243 125 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (222 196 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (208 75 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (200 200 (:TYPE-PRESCRIPTION STRIP-CARS))
 (197 197 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (194 2 (:REWRITE CONSP-OF-NTHCDR))
 (190 2 (:REWRITE LEN-OF-NTHCDR))
 (189 16 (:REWRITE NFIX-WHEN-NATP))
 (187 22 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (173 13 (:DEFINITION NATP))
 (172 164 (:REWRITE DEFAULT-+-1))
 (170 170 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (162 162 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (162 110 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (154 11 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (150 12 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (149 27 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (148 77 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (127 21 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (125 125 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (125 125 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (125 125 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (125 125 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (121 11 (:REWRITE SUBSETP-CAR-MEMBER))
 (121 11 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (104 11 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (103 48 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (103 37 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-69))
 (96 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (88 17 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (72 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (70 13 (:DEFINITION STRIP-CARS))
 (60 41 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (57 57 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (57 19 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (55 11 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (49 49 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (48 48 (:REWRITE SUBSETP-TRANS2))
 (48 48 (:REWRITE SUBSETP-TRANS))
 (48 30 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (47 30 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (45 45 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (44 44 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (44 11 (:REWRITE MEMBER-WHEN-ATOM))
 (42 21 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (41 41 (:TYPE-PRESCRIPTION ABS-FS-P))
 (41 41 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (38 38 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (38 19 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (37 37 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-61))
 (34 34 (:TYPE-PRESCRIPTION NATP))
 (34 17 (:REWRITE SET-EQUIV-ASYM))
 (33 33 (:REWRITE CONSP-OF-STRIP-CARS))
 (32 20 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (30 30 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (27 27 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (24 24 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (24 24 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (24 24 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (24 8 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (23 13 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (22 22 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (22 22 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (22 22 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (22 11 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (22 11 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (22 11 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (21 21 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (19 19 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (19 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-96))
 (18 18 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (18 18 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (18 9 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (18 6 (:REWRITE COMMUTATIVITY-OF-+))
 (17 17 (:TYPE-PRESCRIPTION SET-EQUIV))
 (17 17 (:REWRITE SUBSETP-OF-CDR))
 (17 8 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (17 2 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (12 12 (:TYPE-PRESCRIPTION NFIX))
 (12 12 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (11 11 (:REWRITE SUBSETP-MEMBER . 4))
 (11 11 (:REWRITE SUBSETP-MEMBER . 3))
 (11 11 (:REWRITE SUBSETP-MEMBER . 2))
 (11 11 (:REWRITE SUBSETP-MEMBER . 1))
 (11 11 (:REWRITE INTERSECTP-MEMBER . 3))
 (11 11 (:REWRITE INTERSECTP-MEMBER . 2))
 (11 11 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (11 11 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-73))
 (11 11 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (11 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-52))
 (10 10 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (10 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (9 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-92))
 (8 8 (:REWRITE SUBSETP-REFL))
 (7 7 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (6 6 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (3 3 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (3 3 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (2 2 (:REWRITE MV-NTH-OF-CONS))
 (2 2 (:REWRITE CAR-OF-NTHCDR))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-99
 (57742 109 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (56861 13 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-6))
 (56341 952 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (53573 1168 (:REWRITE DEFAULT-CDR))
 (45942 48 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (42659 970 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (41801 650 (:DEFINITION LEN))
 (40426 613 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (36747 452 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (36108 431 (:REWRITE LEN-WHEN-PREFIXP))
 (32920 613 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (26106 952 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (22707 86 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (22477 13 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (21747 10 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (21644 431 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (11651 32 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (11559 11 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (11422 9 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-97))
 (10853 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-96))
 (10196 432 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (9816 1960 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (9365 314 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (6808 26 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (6470 8 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (2554 952 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (2246 688 (:REWRITE DEFAULT-+-2))
 (2237 495 (:REWRITE DEFAULT-<-2))
 (2099 20 (:REWRITE CONSP-OF-NTHCDR))
 (2028 2028 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (2011 2011 (:TYPE-PRESCRIPTION PREFIXP))
 (1968 1968 (:LINEAR LEN-WHEN-PREFIXP))
 (1952 495 (:REWRITE DEFAULT-<-1))
 (1805 613 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1777 613 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1591 681 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1225 46 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-92))
 (1184 952 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (1162 13 (:DEFINITION NTHCDR))
 (1133 46 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-93))
 (1038 104 (:REWRITE NFIX-WHEN-NATP))
 (993 9 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (954 954 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (899 9 (:REWRITE LEN-OF-NTHCDR))
 (888 203 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (875 117 (:DEFINITION ASSOC-EQUAL))
 (800 428 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-69))
 (724 688 (:REWRITE DEFAULT-+-1))
 (678 32 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (676 34 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (613 613 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (613 613 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (613 613 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (613 613 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (608 590 (:REWRITE DEFAULT-CAR))
 (568 24 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (509 55 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (485 104 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (483 15 (:DEFINITION NATP))
 (466 130 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (428 428 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-61))
 (371 6 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (330 128 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (294 24 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (292 292 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (280 280 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (248 248 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (234 234 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (202 79 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (173 24 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (168 6 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (168 6 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (164 59 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (150 6 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (141 9 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (130 130 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (124 124 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (119 119 (:TYPE-PRESCRIPTION STRIP-CARS))
 (118 59 (:REWRITE SET-EQUIV-ASYM))
 (105 105 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (102 12 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (96 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (89 26 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (89 26 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (84 6 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (82 82 (:REWRITE SUBSETP-TRANS2))
 (82 82 (:REWRITE SUBSETP-TRANS))
 (78 9 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (77 12 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (75 34 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (66 6 (:REWRITE SUBSETP-CAR-MEMBER))
 (66 6 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (63 36 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (63 3 (:REWRITE SET-EQUIV-OF-NIL))
 (59 59 (:TYPE-PRESCRIPTION SET-EQUIV))
 (59 59 (:REWRITE SUBSETP-OF-CDR))
 (56 28 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (53 53 (:REWRITE SUBSETP-REFL))
 (52 52 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (49 9 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-52))
 (48 12 (:DEFINITION STRIP-CARS))
 (46 3 (:DEFINITION ATOM))
 (45 15 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (45 9 (:REWRITE DEFAULT-UNARY-MINUS))
 (42 27 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (39 13 (:REWRITE COMMUTATIVITY-OF-+))
 (35 1 (:DEFINITION NFIX))
 (32 32 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (32 32 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (32 32 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (30 30 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (30 30 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (30 15 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (30 6 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (27 27 (:TYPE-PRESCRIPTION NATP))
 (27 27 (:TYPE-PRESCRIPTION ABS-FS-P))
 (27 27 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (27 17 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (27 9 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (26 13 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (24 24 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (24 6 (:REWRITE MEMBER-WHEN-ATOM))
 (22 22 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (21 21 (:REWRITE CONSP-OF-STRIP-CARS))
 (20 20 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (18 18 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (16 16 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (15 15 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (13 13 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (13 13 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-73))
 (12 12 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (12 6 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (12 6 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (10 10 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (10 10 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (9 9 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (9 9 (:REWRITE CAR-OF-NTHCDR))
 (6 6 (:REWRITE SUBSETP-MEMBER . 4))
 (6 6 (:REWRITE SUBSETP-MEMBER . 3))
 (6 6 (:REWRITE SUBSETP-MEMBER . 2))
 (6 6 (:REWRITE SUBSETP-MEMBER . 1))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 3))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 2))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6 6 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (6 3 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (5 5 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (5 5 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (4 4 (:REWRITE MV-NTH-OF-CONS))
 (4 4 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (3 3 (:REWRITE SUBSETP-NIL))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-100
 (11238 15 (:DEFINITION COLLAPSE))
 (3621 171 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3433 30 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (3196 155 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2991 60 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (2641 363 (:DEFINITION ASSOC-EQUAL))
 (2557 28 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (1892 28 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (1476 715 (:REWRITE DEFAULT-CDR))
 (1352 101 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1221 30 (:DEFINITION NTHCDR))
 (1211 1211 (:REWRITE DEFAULT-CAR))
 (1074 43 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-93))
 (945 945 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (868 31 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-92))
 (750 750 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (711 26 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (670 35 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (635 25 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (590 30 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-52))
 (493 101 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (451 54 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (388 8 (:DEFINITION PUT-ASSOC-EQUAL))
 (370 18 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-99))
 (364 29 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (344 155 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (336 43 (:DEFINITION STRIP-CARS))
 (325 71 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (324 39 (:REWRITE SUBSETP-TRANS2))
 (288 16 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (282 4 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (273 8 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (259 238 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (256 12 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (255 9 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (238 238 (:LINEAR LEN-WHEN-PREFIXP))
 (205 9 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-98))
 (204 18 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-96))
 (189 63 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (188 94 (:REWRITE DEFAULT-<-2))
 (168 56 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (136 50 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (129 25 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (128 8 (:REWRITE COLLAPSE-CONGRUENCE-LEMMA-2))
 (128 8 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-4))
 (126 63 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (125 50 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (125 50 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (110 38 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (109 109 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (108 108 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (108 108 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (106 106 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (106 106 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (97 94 (:REWRITE DEFAULT-<-1))
 (90 30 (:REWRITE COMMUTATIVITY-OF-+))
 (86 86 (:TYPE-PRESCRIPTION NATP))
 (86 58 (:REWRITE NFIX-WHEN-NATP))
 (75 15 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (74 74 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (72 4 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (71 71 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (71 35 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (66 66 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (60 60 (:REWRITE DEFAULT-+-2))
 (60 60 (:REWRITE DEFAULT-+-1))
 (60 29 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (58 58 (:TYPE-PRESCRIPTION NFIX))
 (58 10 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (56 28 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (56 4 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (54 54 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (51 15 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (51 15 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-69))
 (50 50 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (50 2 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-2))
 (47 47 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (44 6 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (42 12 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (41 41 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (40 6 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (36 9 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (36 9 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (32 2 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (30 30 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-73))
 (29 29 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (28 28 (:TYPE-PRESCRIPTION PREFIXP))
 (28 10 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (24 24 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (23 23 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (20 20 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (20 20 (:REWRITE SUBSETP-TRANS))
 (19 19 (:REWRITE ABS-NO-DUPS-P-OF-FRAME->ROOT))
 (18 18 (:REWRITE SUBSETP-REFL))
 (18 18 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (16 16 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (16 4 (:REWRITE 1ST-COMPLETE-OF-REMOVE-ASSOC-1))
 (15 15 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (15 15 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (15 15 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-61))
 (15 15 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (12 12 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (12 12 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (10 6 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (9 9 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (9 9 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (9 9 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (9 9 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (8 2 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (6 6 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (6 2 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (4 4 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (2 2 (:LINEAR COLLAPSE-HIFAT-PLACE-FILE-LEMMA-89))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-101
 (798 1 (:DEFINITION COLLAPSE))
 (219 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (202 2 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (201 10 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (192 95 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (191 9 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (185 2 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (162 9 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (147 40 (:REWRITE DEFAULT-CDR))
 (145 20 (:DEFINITION ASSOC-EQUAL))
 (130 2 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (125 34 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (93 10 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (93 2 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-1))
 (87 2 (:DEFINITION NTHCDR))
 (85 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (62 62 (:REWRITE DEFAULT-CAR))
 (61 6 (:REWRITE ZP-OPEN))
 (59 59 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (59 15 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (57 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (56 56 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (47 19 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (41 5 (:REWRITE ASSOC-OF-FRAME->FRAME))
 (40 40 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (39 10 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (35 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-98))
 (31 31 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (28 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (25 18 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (25 5 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (25 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (25 1 (:REWRITE ABS-PLACE-FILE-HELPER-CORRECTNESS-2))
 (24 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-92))
 (23 5 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (22 11 (:REWRITE DEFAULT-<-2))
 (21 9 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (20 3 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (18 18 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (18 18 (:LINEAR LEN-WHEN-PREFIXP))
 (18 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (17 5 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (17 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-69))
 (17 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (16 1 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (15 9 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (15 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-93))
 (14 4 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (14 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (12 11 (:REWRITE DEFAULT-<-1))
 (12 7 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (12 4 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (12 4 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (12 4 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (12 3 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (12 3 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (11 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (11 1 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (10 10 (:TYPE-PRESCRIPTION NATP-OF-ABS-PLACE-FILE-HELPER))
 (10 6 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (10 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-99))
 (8 8 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (8 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (8 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-52))
 (8 1 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (7 7 (:TYPE-PRESCRIPTION ABS-FS-P))
 (7 7 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (7 7 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (7 7 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (7 7 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (7 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (6 6 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (6 4 (:REWRITE NFIX-WHEN-NATP))
 (6 3 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (6 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-96))
 (6 1 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (5 5 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (5 5 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (5 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (5 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-61))
 (5 3 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (5 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (5 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (5 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION NFIX))
 (4 4 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (4 4 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 4 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (4 4 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE DEFAULT-+-2))
 (4 4 (:REWRITE DEFAULT-+-1))
 (4 4 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (4 2 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (4 1 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (4 1 (:DEFINITION STRIP-CARS))
 (3 3 (:TYPE-PRESCRIPTION NATP))
 (3 3 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (3 3 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (3 3 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (3 3 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (3 3 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (3 3 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (3 3 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (3 1 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (2 2 (:TYPE-PRESCRIPTION PREFIXP))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-73))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (2 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1 1 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (1 1 (:REWRITE SUBSETP-TRANS2))
 (1 1 (:REWRITE SUBSETP-TRANS))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-26))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (1 1 (:LINEAR COLLAPSE-HIFAT-PLACE-FILE-LEMMA-89))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-102
 (101463 497 (:REWRITE ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (93628 14805 (:REWRITE DEFAULT-CDR))
 (76876 825 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (63532 1026 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (54880 7331 (:DEFINITION ASSOC-EQUAL))
 (48915 421 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (46083 1974 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (26474 188 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-96))
 (24143 22405 (:REWRITE DEFAULT-CAR))
 (22691 644 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (20563 311 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-98))
 (19103 269 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-92))
 (18486 1974 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (17935 515 (:DEFINITION NTHCDR))
 (15286 14658 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (14700 616 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (11651 1974 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (10903 3913 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (10106 270 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-93))
 (8608 807 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (8018 110 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (7854 266 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (6456 6456 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (6061 975 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (5031 173 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (4930 2090 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (4524 167 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (4256 66 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (4110 2055 (:REWRITE DEFAULT-<-2))
 (4101 1013 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (3973 3 (:REWRITE ABS-SEPARATE-CORRECTNESS-LEMMA-11))
 (3697 394 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (3497 807 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (3228 807 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (3228 359 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (3137 63 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (3098 1353 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (3048 3048 (:TYPE-PRESCRIPTION NAMES-AT))
 (2984 766 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (2825 188 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (2744 974 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-69))
 (2226 2226 (:LINEAR LEN-WHEN-PREFIXP))
 (2178 2055 (:REWRITE DEFAULT-<-1))
 (2046 160 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2037 2037 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1966 975 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1892 568 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1872 234 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (1653 825 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (1648 1648 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (1530 510 (:REWRITE COMMUTATIVITY-OF-+))
 (1476 78 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (1430 1430 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1404 468 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 2))
 (1386 596 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (1376 1376 (:TYPE-PRESCRIPTION CTX-APP))
 (1353 1353 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (1285 1285 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (1186 568 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1170 468 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (1088 209 (:DEFINITION STRIP-CARS))
 (1020 1020 (:REWRITE DEFAULT-+-2))
 (1020 1020 (:REWRITE DEFAULT-+-1))
 (974 974 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-61))
 (968 968 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (963 167 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (936 936 (:TYPE-PRESCRIPTION DIST-NAMES))
 (930 842 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (886 886 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (861 35 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (860 596 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (834 110 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (825 825 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-73))
 (824 824 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (807 807 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (766 766 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (766 766 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (766 766 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (766 766 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (766 766 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (766 766 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (766 766 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (766 766 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (766 766 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (766 766 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (766 766 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (766 766 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (712 66 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (700 644 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (680 122 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-32))
 (666 666 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (657 157 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-25))
 (636 161 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (600 12 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (568 568 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (568 568 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (568 568 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (568 568 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (545 192 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (516 516 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (516 516 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (500 500 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (500 500 (:REWRITE INTERSECTP-MEMBER . 1))
 (468 468 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-31 . 1))
 (448 448 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (422 422 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (421 421 (:TYPE-PRESCRIPTION PREFIXP))
 (420 420 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-62))
 (415 63 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (405 405 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (346 122 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (334 334 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (315 315 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-59))
 (308 308 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (303 303 (:TYPE-PRESCRIPTION FRAME-VAL))
 (298 298 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (269 269 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-42))
 (269 269 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-41))
 (246 13 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-2))
 (192 192 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (176 176 (:REWRITE SUBSETP-TRANS))
 (134 63 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (126 126 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (117 12 (:REWRITE SUBSETP-MEMBER . 4))
 (100 100 (:REWRITE COLLAPSE-CONGRUENCE-LEMMA-1))
 (98 98 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (96 3 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-EQUAL))
 (90 3 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (67 67 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (66 66 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (60 3 (:REWRITE ABS-FS-P-OF-REMOVE))
 (60 3 (:REWRITE ABS-ADDRS-OF-REMOVE))
 (52 52 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (52 13 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-1))
 (51 3 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (48 12 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (48 9 (:REWRITE MEMBER-WHEN-ATOM))
 (39 39 (:REWRITE ABSFAT-EQUIV-OF-ABS-FS-FIX))
 (21 7 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (18 18 (:REWRITE SUBSETP-MEMBER . 2))
 (18 18 (:REWRITE SUBSETP-MEMBER . 1))
 (18 18 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (18 18 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (18 18 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (18 18 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (16 1 (:DEFINITION ATOM))
 (12 12 (:REWRITE SUBSETP-MEMBER . 3))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 3))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 2))
 (9 9 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (8 4 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-103
 (23040 5270 (:REWRITE DEFAULT-CDR))
 (20863 369 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-98))
 (17802 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-102))
 (11540 1036 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (9295 8535 (:REWRITE DEFAULT-CAR))
 (8078 266 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (6755 2347 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (6288 1036 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (5782 5510 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (5269 613 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (4600 66 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (4416 86 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (3961 54 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (3479 67 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (3128 1340 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3048 3048 (:TYPE-PRESCRIPTION NAMES-AT))
 (3048 798 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (3029 109 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (2714 103 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (2405 43 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (2128 266 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (2001 43 (:DEFINITION NTHCDR))
 (1947 215 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1946 84 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (1608 112 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1596 532 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 2))
 (1551 648 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (1468 1468 (:TYPE-PRESCRIPTION CTX-APP))
 (1330 1330 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1330 532 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (1325 1325 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1226 613 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1064 1064 (:TYPE-PRESCRIPTION DIST-NAMES))
 (1004 502 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (968 968 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (949 35 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (830 44 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (803 803 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (798 798 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (798 798 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (798 798 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (798 798 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (798 798 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (798 798 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (798 798 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (798 798 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (798 798 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (798 798 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (798 798 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (798 798 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (766 138 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-32))
 (765 62 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (746 66 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (713 426 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (707 166 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (660 135 (:DEFINITION STRIP-CARS))
 (600 12 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (566 103 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (555 555 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (548 548 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (534 267 (:REWRITE DEFAULT-<-2))
 (532 532 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (532 532 (:REWRITE INTERSECTP-MEMBER . 1))
 (532 532 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-31 . 1))
 (523 166 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (506 505 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (502 502 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-73))
 (484 484 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-62))
 (426 426 (:LINEAR LEN-WHEN-PREFIXP))
 (404 54 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (390 138 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (388 4 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (382 4 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-2))
 (346 125 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (344 344 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (335 67 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (331 331 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-59))
 (324 84 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (317 317 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-42))
 (317 317 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-41))
 (312 84 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (306 9 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-COLLAPSE-THIS-2))
 (297 112 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (292 292 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (292 292 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (292 292 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (288 68 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-25))
 (274 274 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (269 267 (:REWRITE DEFAULT-<-1))
 (242 242 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (211 211 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (206 206 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (202 82 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (199 82 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (194 194 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (194 119 (:REWRITE SUBSETP-TRANS2))
 (168 168 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (168 84 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (166 166 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (166 166 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (162 162 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (144 144 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (141 47 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (134 67 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (129 43 (:REWRITE COMMUTATIVITY-OF-+))
 (117 12 (:REWRITE SUBSETP-MEMBER . 4))
 (114 114 (:REWRITE SUBSETP-TRANS))
 (112 112 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (98 98 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (96 3 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-EQUAL))
 (90 3 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (86 86 (:TYPE-PRESCRIPTION NFIX))
 (86 86 (:REWRITE DEFAULT-+-2))
 (86 86 (:REWRITE DEFAULT-+-1))
 (84 84 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (84 84 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (84 84 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (84 84 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (72 6 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-2))
 (70 5 (:REWRITE ABS-ADDRS-WHEN-ABSFAT-EQUIV-LEMMA-1))
 (67 67 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (66 66 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (60 60 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (60 3 (:REWRITE ABS-FS-P-OF-REMOVE))
 (60 3 (:REWRITE ABS-ADDRS-OF-REMOVE))
 (51 3 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (48 12 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (48 9 (:REWRITE MEMBER-WHEN-ATOM))
 (48 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-92))
 (44 44 (:REWRITE COLLAPSE-CONGRUENCE-LEMMA-1))
 (43 43 (:TYPE-PRESCRIPTION PREFIXP))
 (41 41 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (35 5 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (34 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-69))
 (30 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-93))
 (29 6 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-1))
 (21 6 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (18 18 (:REWRITE SUBSETP-MEMBER . 2))
 (18 18 (:REWRITE SUBSETP-MEMBER . 1))
 (16 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-52))
 (12 12 (:REWRITE SUBSETP-MEMBER . 3))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 3))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 2))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (10 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-61))
 (9 3 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (6 6 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (5 5 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (5 5 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (5 5 (:REWRITE ABS-NO-DUPS-P-OF-FRAME->ROOT))
 (4 2 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (3 3 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (1 1 (:REWRITE MV-NTH-OF-CONS))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-104
 (120572 386 (:REWRITE FRAME->ROOT-OF-COLLAPSE-THIS))
 (109472 322 (:REWRITE ABS-FS-P-OF-CTX-APP))
 (54778 11650 (:REWRITE DEFAULT-CDR))
 (52804 26 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-4))
 (47816 6267 (:DEFINITION ASSOC-EQUAL))
 (46741 241 (:REWRITE ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (42844 869 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (39960 508 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-62))
 (32652 402 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (30393 94 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-92))
 (29342 1519 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (25235 179 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (23920 507 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (22368 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-102))
 (21791 20611 (:REWRITE DEFAULT-CAR))
 (13934 13526 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (13628 1198 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (13397 321 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-98))
 (11831 465 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (9707 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-103))
 (8825 293 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (7999 203 (:DEFINITION NTHCDR))
 (7834 2653 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (7509 38 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-52))
 (7196 1198 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (6157 284 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-42))
 (4830 713 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (4538 154 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (4486 58 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (4272 284 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-31 . 2))
 (4114 80 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (4090 147 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (4063 478 (:REWRITE ASSOC-AFTER-REMOVE-ASSOC))
 (3884 1636 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3426 3426 (:TYPE-PRESCRIPTION NAMES-AT))
 (3378 855 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (3138 190 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (3054 3054 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2934 355 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (2675 62 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (2229 828 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-69))
 (2158 1079 (:REWRITE DEFAULT-<-2))
 (2152 269 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (2038 993 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1989 1989 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (1947 1947 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1947 1947 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1871 1871 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1837 882 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (1736 146 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (1716 1716 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-COLLAPSE-THIS))
 (1716 1716 (:TYPE-PRESCRIPTION COLLAPSE-THIS))
 (1614 538 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 2))
 (1524 630 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (1490 1490 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1485 107 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1474 713 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1444 20 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-COLLAPSE-THIS-2))
 (1410 1410 (:TYPE-PRESCRIPTION CTX-APP))
 (1345 538 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (1318 1318 (:LINEAR LEN-WHEN-PREFIXP))
 (1259 10 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-2))
 (1215 591 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (1201 63 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-96))
 (1163 1079 (:REWRITE DEFAULT-<-1))
 (1112 1112 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (1077 1077 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (1076 1076 (:TYPE-PRESCRIPTION DIST-NAMES))
 (993 993 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (983 161 (:DEFINITION STRIP-CARS))
 (887 147 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (886 47 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (855 855 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (855 855 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (855 855 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (855 855 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (855 855 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (855 855 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (855 855 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (855 855 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (855 855 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (855 855 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (855 855 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (855 855 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (855 226 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (828 828 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-61))
 (789 789 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (788 62 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (769 80 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (740 208 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (698 32 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-99))
 (671 602 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (636 41 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (622 622 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (594 198 (:REWRITE COMMUTATIVITY-OF-+))
 (591 591 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-73))
 (568 538 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-31 . 1))
 (562 562 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (562 562 (:REWRITE INTERSECTP-MEMBER . 1))
 (542 362 (:REWRITE NFIX-WHEN-NATP))
 (541 94 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-32))
 (507 465 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (469 190 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (458 190 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (449 96 (:REWRITE ABS-ADDRS-OF-CTX-APP-2))
 (444 58 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (426 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-30))
 (396 396 (:REWRITE DEFAULT-+-2))
 (396 396 (:REWRITE DEFAULT-+-1))
 (389 20 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-COLLAPSE-THIS-1))
 (343 91 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-25))
 (322 322 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-59))
 (316 316 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (294 294 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (284 284 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-41))
 (275 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-50))
 (270 270 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (270 94 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (252 252 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (236 3 (:REWRITE PATH-CLEAR-OF-REMOVE-ASSOC-OF-FRAME->FRAME))
 (226 226 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (226 226 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (226 226 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (226 226 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (221 221 (:TYPE-PRESCRIPTION NATP))
 (208 208 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (197 10 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-1))
 (193 10 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-2))
 (188 9 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (176 10 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS))
 (162 62 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (147 52 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-6))
 (138 138 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (130 130 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (128 128 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (126 126 (:REWRITE SUBSETP-TRANS))
 (117 117 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (116 116 (:TYPE-PRESCRIPTION FRAME-VAL))
 (110 1 (:REWRITE ABS-SEPARATE-CORRECTNESS-LEMMA-11))
 (107 26 (:REWRITE PATH-CLEAR-OF-REMOVE-ASSOC-1))
 (96 10 (:REWRITE FRAME-P-OF-COLLAPSE-THIS))
 (91 91 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (81 81 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (80 80 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (48 48 (:REWRITE COLLAPSE-CONGRUENCE-LEMMA-1))
 (43 43 (:REWRITE ABSFAT-EQUIV-OF-ABS-FS-FIX))
 (40 10 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-1))
 (30 30 (:TYPE-PRESCRIPTION COLLAPSE-GUARD-LEMMA-1))
 (26 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-43))
 (12 12 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-PARTIAL-COLLAPSE-LEMMA-3))
 (12 3 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (10 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-37))
 (4 4 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (4 4 (:REWRITE ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 (4 2 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (3 1 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (2 2 (:TYPE-PRESCRIPTION NULL))
 (2 2 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (2 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (2 2 (:DEFINITION NULL))
 (2 1 (:REWRITE STRIP-CARS-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (2 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-105
 (254053 299 (:REWRITE ABS-FS-P-OF-CTX-APP))
 (236456 303 (:REWRITE FRAME->ROOT-OF-COLLAPSE-THIS))
 (151016 504 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-75))
 (114221 851 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (111502 520 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-62))
 (81928 276 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-42))
 (77037 22 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-4))
 (40164 2096 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (39016 1092 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (38478 1050 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (38118 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-103))
 (38118 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-102))
 (29228 310 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-98))
 (28632 504 (:REWRITE TAKE-WHEN-FAT32-FILENAME-LIST-PREFIXP-REPLACEMENT . 2))
 (24075 512 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (20054 546 (:DEFINITION NTHCDR))
 (18693 16401 (:REWRITE DEFAULT-CAR))
 (15072 504 (:REWRITE TAKE-WHEN-PREFIXP-REPLACEMENT . 1))
 (13798 4188 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (13208 504 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (12144 504 (:REWRITE TAKE-WHEN-PREFIXP))
 (11712 488 (:REWRITE CONSP-OF-TAKE))
 (11528 504 (:DEFINITION TAKE))
 (10772 946 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (10718 10438 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (8912 3548 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-69))
 (8460 276 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (7979 192 (:REWRITE ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (7528 504 (:REWRITE TAKE-WHEN-FAT32-FILENAME-LIST-PREFIXP-REPLACEMENT . 1))
 (7506 3753 (:REWRITE DEFAULT-<-2))
 (6784 2096 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (6776 2096 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (6204 6204 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (6204 2160 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (5686 5420 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (5530 562 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (5420 5420 (:LINEAR LEN-WHEN-PREFIXP))
 (5392 946 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (5248 76 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (4765 3753 (:REWRITE DEFAULT-<-1))
 (4706 4188 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (4692 4692 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (4552 504 (:REWRITE TAKE-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4364 4150 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (4192 4192 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (4148 488 (:REWRITE ASSOC-AFTER-REMOVE-ASSOC))
 (3918 74 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (3746 51 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (3548 3548 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-61))
 (3503 3503 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3216 3216 (:TYPE-PRESCRIPTION NAMES-AT))
 (3216 828 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (3120 115 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (2872 1264 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2799 103 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (2613 303 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (2208 276 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (2112 2112 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (2096 2096 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2096 2096 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2096 2096 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (2096 2096 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (2058 2058 (:TYPE-PRESCRIPTION PREFIXP))
 (1937 216 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1858 1858 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1858 1858 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1858 1858 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (1815 1815 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1656 552 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 2))
 (1644 1644 (:TYPE-PRESCRIPTION CTX-APP))
 (1638 1092 (:REWRITE NFIX-WHEN-NATP))
 (1638 546 (:REWRITE COMMUTATIVITY-OF-+))
 (1604 107 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1596 1596 (:REWRITE DEFAULT-+-2))
 (1596 1596 (:REWRITE DEFAULT-+-1))
 (1380 552 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (1371 575 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (1264 276 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-31 . 2))
 (1234 1234 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1124 562 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1104 1104 (:TYPE-PRESCRIPTION DIST-NAMES))
 (1092 1092 (:TYPE-PRESCRIPTION NFIX))
 (1040 1040 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (1030 1030 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (1008 1008 (:TYPE-PRESCRIPTION DIRNAME))
 (1008 1008 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (1008 1008 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (1008 504 (:REWRITE CONSP-OF-DIRNAME))
 (992 992 (:TYPE-PRESCRIPTION TAKE))
 (970 38 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (936 936 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (913 159 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-32))
 (888 444 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (860 76 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (828 828 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (828 828 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (828 828 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (828 828 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (828 828 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (828 828 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (828 828 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (828 828 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (828 828 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (828 828 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (828 828 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (828 828 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (792 42 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (768 8 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (757 7 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-2))
 (747 120 (:DEFINITION STRIP-CARS))
 (737 63 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (659 103 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (605 159 (:REWRITE ABS-ADDRS-OF-CTX-APP-2))
 (584 552 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-31 . 1))
 (552 552 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (552 552 (:REWRITE INTERSECTP-MEMBER . 1))
 (504 504 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (495 495 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (455 159 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (451 448 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (444 444 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-73))
 (428 14 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-COLLAPSE-THIS-2))
 (385 51 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (370 74 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (326 326 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (322 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-30))
 (303 303 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (299 299 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-59))
 (296 113 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (276 276 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-41))
 (245 3 (:REWRITE PATH-CLEAR-OF-REMOVE-ASSOC-OF-FRAME->FRAME))
 (238 84 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-6))
 (230 10 (:REWRITE CDR-OF-ASSOC-OF-NIL-WHEN-ABS-FILE-ALIST-P))
 (206 206 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (206 206 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (200 14 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-COLLAPSE-THIS-1))
 (188 76 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (186 76 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (173 173 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (155 7 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-1))
 (154 154 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (150 50 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (148 74 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (147 147 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (146 6 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (119 119 (:TYPE-PRESCRIPTION NATP))
 (118 7 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS))
 (113 113 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (104 104 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (94 94 (:REWRITE SUBSETP-TRANS2))
 (94 94 (:REWRITE SUBSETP-TRANS))
 (91 22 (:REWRITE PATH-CLEAR-OF-REMOVE-ASSOC-1))
 (85 7 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-2))
 (76 76 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (74 74 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (72 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-92))
 (62 7 (:REWRITE FRAME-P-OF-COLLAPSE-THIS))
 (60 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-93))
 (46 16 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (42 42 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (38 38 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (38 38 (:REWRITE COLLAPSE-CONGRUENCE-LEMMA-1))
 (38 38 (:REWRITE ABSFAT-EQUIV-OF-ABS-FS-FIX))
 (38 38 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (32 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-52))
 (28 7 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-1))
 (21 21 (:TYPE-PRESCRIPTION COLLAPSE-GUARD-LEMMA-1))
 (16 16 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (12 3 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (9 9 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-PARTIAL-COLLAPSE-LEMMA-3))
 (8 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-45))
 (8 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-44))
 (7 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-37))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (4 4 (:REWRITE ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 1 (:REWRITE STRIP-CARS-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (2 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-106
 (1418 2 (:DEFINITION COLLAPSE))
 (910 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-4))
 (692 18 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (380 4 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (374 49 (:DEFINITION ASSOC-EQUAL))
 (365 4 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (349 8 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (337 95 (:REWRITE DEFAULT-CDR))
 (299 4 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (288 12 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (267 130 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (254 9 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (232 11 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (193 11 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (191 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (188 4 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (173 163 (:REWRITE DEFAULT-CAR))
 (169 27 (:REWRITE ASSOC-OF-FRAME->FRAME))
 (167 4 (:DEFINITION NTHCDR))
 (153 41 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (113 9 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (110 106 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (106 11 (:REWRITE ZP-OPEN))
 (98 98 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (85 85 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (85 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (71 2 (:DEFINITION STRIP-CARS))
 (67 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-92))
 (64 64 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (57 1 (:REWRITE PATH-CLEAR-OF-REMOVE-ASSOC-OF-FRAME->FRAME))
 (55 20 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (54 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (47 9 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (47 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-25))
 (46 10 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (41 41 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (41 34 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (40 20 (:REWRITE DEFAULT-<-2))
 (38 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-52))
 (35 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-98))
 (34 34 (:LINEAR LEN-WHEN-PREFIXP))
 (33 15 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (28 28 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (28 28 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (28 28 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (28 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (28 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (26 26 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-COLLAPSE-THIS))
 (26 26 (:TYPE-PRESCRIPTION COLLAPSE-THIS))
 (26 26 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (26 11 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (26 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-93))
 (25 5 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (25 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (24 8 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (21 21 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (21 20 (:REWRITE DEFAULT-<-1))
 (18 18 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (18 18 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (17 5 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (17 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-69))
 (17 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (16 1 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (15 6 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (15 6 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (15 5 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (14 4 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (14 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (13 3 (:REWRITE PATH-CLEAR-OF-REMOVE-ASSOC-1))
 (12 8 (:REWRITE NFIX-WHEN-NATP))
 (12 7 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (12 4 (:REWRITE COMMUTATIVITY-OF-+))
 (12 4 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (12 3 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (12 3 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (10 10 (:TYPE-PRESCRIPTION NATP))
 (10 10 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (10 10 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (10 10 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (10 5 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (10 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-99))
 (9 4 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (8 8 (:TYPE-PRESCRIPTION NFIX))
 (8 8 (:REWRITE DEFAULT-+-2))
 (8 8 (:REWRITE DEFAULT-+-1))
 (8 4 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (7 7 (:TYPE-PRESCRIPTION ABS-FS-P))
 (7 7 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (6 6 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (6 3 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (6 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-96))
 (5 5 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (5 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (5 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-61))
 (5 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION PREFIXP))
 (4 4 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-73))
 (4 4 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (4 1 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (4 1 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (3 3 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (3 3 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (3 3 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (3 3 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (3 3 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (3 3 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (2 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1 1 (:REWRITE SUBSETP-TRANS2))
 (1 1 (:REWRITE SUBSETP-TRANS))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-107
 (625 23 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (465 21 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-97))
 (441 51 (:REWRITE DEFAULT-CDR))
 (356 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (292 11 (:DEFINITION STRIP-CARS))
 (262 7 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (248 7 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (238 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (223 12 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (209 4 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (208 94 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (195 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (191 13 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (189 189 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (180 15 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (175 21 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (170 6 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (162 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (140 16 (:DEFINITION ASSOC-EQUAL))
 (124 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (108 2 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (94 15 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (92 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 1))
 (87 87 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (86 74 (:REWRITE DEFAULT-CAR))
 (84 21 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (77 4 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (66 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (60 20 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (58 22 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (57 17 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (54 3 (:REWRITE ZP-OPEN))
 (53 12 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (44 4 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (37 6 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (34 2 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (32 32 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (28 4 (:DEFINITION NATP))
 (26 2 (:REWRITE CTX-APP-OK-OF-CTX-APP-LIST-SEQ-LEMMA-1))
 (24 24 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (23 9 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (19 19 (:TYPE-PRESCRIPTION ABS-FS-P))
 (16 10 (:REWRITE DEFAULT-<-2))
 (16 4 (:REWRITE MEMBER-WHEN-ATOM))
 (14 6 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (13 13 (:REWRITE SUBSETP-TRANS))
 (12 12 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (12 2 (:REWRITE VALID-SEQP-WHEN-PREFIXP))
 (10 10 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (10 10 (:REWRITE DEFAULT-<-1))
 (8 4 (:TYPE-PRESCRIPTION FINAL-VAL-SEQ-OF-COLLAPSE-THIS-LEMMA-7))
 (8 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (6 6 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6 2 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (6 2 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (5 5 (:TYPE-PRESCRIPTION SET-EQUIV))
 (5 5 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (5 5 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (5 5 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (5 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (4 4 (:TYPE-PRESCRIPTION VALID-SEQP))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE SUBSETP-MEMBER . 4))
 (4 4 (:REWRITE SUBSETP-MEMBER . 3))
 (4 4 (:REWRITE SUBSETP-MEMBER . 2))
 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (2 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (1 1 (:REWRITE ABS-FS-P-OF-COLLAPSE))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-COLLAPSE))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-108
 (2269 50 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (2183 10 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (1628 40 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-97))
 (1352 94 (:REWRITE DEFAULT-CDR))
 (1054 23 (:DEFINITION STRIP-CARS))
 (721 46 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (718 16 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (711 11 (:REWRITE CONSP-OF-STRIP-CARS))
 (560 10 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (532 532 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (445 46 (:REWRITE SUBSETP-TRANS))
 (390 40 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (319 46 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (314 15 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (310 35 (:DEFINITION ASSOC-EQUAL))
 (308 14 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (297 8 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (252 14 (:REWRITE ZP-OPEN))
 (216 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 1))
 (208 40 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (204 204 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (200 64 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (191 3 (:REWRITE CTX-APP-OK-OF-CTX-APP-LIST-SEQ-LEMMA-1))
 (190 46 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (182 65 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (180 60 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (168 3 (:REWRITE VALID-SEQP-WHEN-PREFIXP))
 (155 152 (:REWRITE DEFAULT-CAR))
 (141 141 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (127 6 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (108 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (102 102 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (96 26 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (92 6 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (81 47 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (74 74 (:TYPE-PRESCRIPTION ZP))
 (70 70 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (64 64 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (63 63 (:TYPE-PRESCRIPTION FRAME-P))
 (57 29 (:REWRITE DEFAULT-<-2))
 (52 1 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (47 6 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (42 6 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (33 33 (:TYPE-PRESCRIPTION STRIP-CARS))
 (30 30 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (29 29 (:REWRITE DEFAULT-<-1))
 (28 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (26 8 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (25 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (24 24 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (18 6 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (17 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (16 16 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (16 16 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (16 16 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (16 16 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (14 14 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (14 8 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (14 6 (:TYPE-PRESCRIPTION FINAL-VAL-SEQ-OF-COLLAPSE-THIS-LEMMA-7))
 (14 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (13 13 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (12 6 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (11 1 (:REWRITE SUBSETP-CAR-MEMBER))
 (11 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (9 3 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (9 3 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (8 8 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (7 1 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (7 1 (:DEFINITION NATP))
 (6 6 (:TYPE-PRESCRIPTION VALID-SEQP))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (5 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4 1 (:REWRITE MEMBER-WHEN-ATOM))
 (3 3 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2 1 (:TYPE-PRESCRIPTION LEN-WHEN-CONSP))
 (2 1 (:REWRITE SET-EQUIV-ASYM))
 (2 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1 1 (:TYPE-PRESCRIPTION LEN))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE SUBSETP-OF-CDR))
 (1 1 (:REWRITE SUBSETP-MEMBER . 4))
 (1 1 (:REWRITE SUBSETP-MEMBER . 3))
 (1 1 (:REWRITE SUBSETP-MEMBER . 2))
 (1 1 (:REWRITE SUBSETP-MEMBER . 1))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-109
 (12509 496 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (11581 150 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (11471 283 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (10989 198 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (10537 76 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (10468 246 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (8432 661 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (6537 13 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-53))
 (6056 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-5))
 (5590 50 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (5034 203 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (4620 210 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (4460 13 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (4297 150 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (3928 96 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (3792 103 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (2500 401 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (2488 210 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (2458 43 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (2404 100 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (2219 167 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1950 667 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1753 28 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (1715 43 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (1587 198 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1533 198 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1272 60 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (1269 141 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1195 114 (:DEFINITION ASSOC-EQUAL))
 (962 17 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (913 913 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (792 60 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (775 775 (:TYPE-PRESCRIPTION ABS-FS-P))
 (758 167 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (730 430 (:REWRITE DEFAULT-CDR))
 (723 6 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (681 24 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-97))
 (676 496 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (667 667 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (612 24 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (601 173 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (585 201 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (570 43 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (541 76 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (534 534 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (530 43 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (520 100 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (496 46 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (456 456 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (456 456 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (413 37 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (408 6 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (400 400 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (398 398 (:REWRITE DEFAULT-CAR))
 (380 380 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (380 76 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (360 24 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (335 41 (:DEFINITION LEN))
 (334 334 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (332 43 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (328 41 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (301 19 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (273 6 (:REWRITE LEN-WHEN-PREFIXP))
 (270 45 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (253 253 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (228 228 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (201 201 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (201 48 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-52))
 (174 174 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (168 12 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (164 41 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (150 41 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (146 146 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (135 47 (:REWRITE DEFAULT-+-2))
 (126 126 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (120 120 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (120 60 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (119 119 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (119 119 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (113 113 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (108 36 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (102 12 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (100 100 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (87 6 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (82 82 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (82 82 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (77 17 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (76 76 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (76 76 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (75 75 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (74 74 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (69 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (63 63 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (53 53 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (53 53 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (49 49 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (47 47 (:REWRITE DEFAULT-+-1))
 (46 18 (:REWRITE DEFAULT-<-2))
 (43 43 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (41 41 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (40 40 (:LINEAR LEN-WHEN-PREFIXP))
 (40 40 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (38 38 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (36 36 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (36 18 (:REWRITE DEFAULT-<-1))
 (33 33 (:TYPE-PRESCRIPTION PREFIXP))
 (28 28 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (28 28 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (28 28 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (26 26 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (24 24 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (24 24 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (18 18 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-79))
 (17 17 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (16 6 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (15 15 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (12 12 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (12 12 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (12 12 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (12 12 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (12 12 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (12 12 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (12 6 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (12 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (11 11 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (11 11 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (11 11 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (9 9 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (6 6 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-72))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-110
 (398543 195 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-5))
 (253770 120 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-53))
 (198200 7843 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (194304 2477 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (176674 1326 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (162778 10329 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (161518 2107 (:REWRITE LEN-WHEN-PREFIXP))
 (129136 3517 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (109643 4265 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (85896 1800 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (76237 2445 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (70942 4488 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (69743 4265 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (64291 94 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (56981 4265 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (49454 329 (:LINEAR LEN-OF-MEMBER))
 (48757 2107 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (46462 120 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (41960 1242 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (41082 4041 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (38740 7828 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (36902 2107 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (35681 2107 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (34542 459 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT))
 (33987 2928 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (32318 3264 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (32068 649 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (26742 439 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (24440 2346 (:DEFINITION ASSOC-EQUAL))
 (23214 2964 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (22869 16763 (:REWRITE DEFAULT-CDR))
 (22821 574 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (21884 7329 (:REWRITE DEFAULT-+-2))
 (20980 2964 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (18029 18029 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (16553 4041 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (15696 2093 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (15676 2928 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (13960 332 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (13932 10380 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (12818 2890 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (12537 1091 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (12078 7566 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (11773 11773 (:TYPE-PRESCRIPTION PREFIXP))
 (11350 11350 (:REWRITE DEFAULT-CAR))
 (11314 189 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (11029 354 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-97))
 (9791 3513 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (8902 354 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (8818 1486 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (8117 1297 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (7793 769 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (7446 7446 (:LINEAR LEN-WHEN-PREFIXP))
 (7340 574 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (7329 7329 (:REWRITE DEFAULT-+-1))
 (7325 1326 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (7006 2674 (:REWRITE DEFAULT-<-1))
 (6995 574 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (6938 2674 (:REWRITE DEFAULT-<-2))
 (6260 6260 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (6166 6166 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (5849 3513 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (5532 1230 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (5334 5190 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (5310 354 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (5273 574 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (5104 638 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (5069 574 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (4692 4692 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (4409 4265 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (4409 4265 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (4382 4382 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (4265 4265 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (4265 4265 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (4265 4265 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (4265 4265 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (4185 4041 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (3898 3898 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (3624 604 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (3369 534 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (2564 2564 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (2552 638 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (2358 420 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (2284 638 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (2184 1091 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (2094 2094 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (2013 2013 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (1824 96 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1700 1700 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (1632 1632 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (1563 219 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (1522 226 (:DEFINITION NATP))
 (1486 1486 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (1476 96 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (1461 1461 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (1440 96 (:DEFINITION TRUE-LISTP))
 (1306 1306 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (1297 1297 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (1276 1276 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (1276 1276 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (1252 634 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-52))
 (1148 1148 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (1056 96 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (941 437 (:REWRITE SUBSETP-MEMBER . 3))
 (924 420 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (912 192 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (838 838 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (838 838 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (816 411 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (638 638 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (603 603 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (540 90 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (523 523 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (480 480 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (480 192 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (461 461 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (440 11 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (439 439 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (439 439 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (439 439 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (437 437 (:REWRITE SUBSETP-MEMBER . 4))
 (437 437 (:REWRITE INTERSECTP-MEMBER . 3))
 (437 437 (:REWRITE INTERSECTP-MEMBER . 2))
 (423 423 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (420 420 (:REWRITE SUBSETP-TRANS2))
 (420 420 (:REWRITE SUBSETP-TRANS))
 (411 411 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-79))
 (411 411 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (396 396 (:REWRITE SUBSETP-MEMBER . 2))
 (357 357 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (336 96 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (334 334 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (334 334 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (300 150 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (294 294 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (288 288 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (288 288 (:TYPE-PRESCRIPTION D-E-P))
 (288 144 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (288 48 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (259 35 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (246 123 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (240 240 (:REWRITE CONSP-OF-LIST-FIX))
 (198 198 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (195 195 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (195 195 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-72))
 (192 192 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (186 37 (:DEFINITION STRIP-CARS))
 (168 20 (:REWRITE ZP-OPEN))
 (150 150 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (144 144 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (144 144 (:REWRITE SET::IN-SET))
 (140 140 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (116 116 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (116 29 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (96 96 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (80 16 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (63 9 (:DEFINITION ATOM))
 (45 9 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (21 21 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (14 14 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (6 6 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-111
 (103299 3929 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (91496 1744 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (72817 5649 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (44745 2044 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (36302 1278 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (31846 1018 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (26877 1359 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (24600 54 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-53))
 (23472 26 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-5))
 (23052 64 (:REWRITE EQUAL-OF-ABS-FILE))
 (21420 64 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (17610 335 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (17532 54 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (14386 114 (:DEFINITION PUT-ASSOC-EQUAL))
 (14032 1922 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (13545 1330 (:DEFINITION ASSOC-EQUAL))
 (13012 314 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (12260 1590 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (11874 100 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-20))
 (11357 1514 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (10870 1122 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (8227 73 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (7590 231 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-97))
 (7328 4036 (:REWRITE DEFAULT-CDR))
 (6992 124 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (5888 1278 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (5781 334 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-52))
 (5530 3813 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (5527 231 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (5269 429 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (4932 4932 (:REWRITE DEFAULT-CAR))
 (4896 828 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (4584 68 (:REWRITE ABS-ADDRS-OF-CTX-APP-LEMMA-6))
 (4574 1234 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4478 66 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (4228 4228 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (4165 4165 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (4084 444 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (3842 3842 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (3652 100 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-ABS-PLACE-FILE-HELPER . 3))
 (3647 1375 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (3480 68 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (3472 434 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (3465 231 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (3425 685 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (3309 656 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (3296 382 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (3252 346 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (3120 3120 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2888 2888 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2864 16 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (2632 2632 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (2184 364 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1878 50 (:REWRITE M1-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (1858 20 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-222))
 (1736 434 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (1708 4 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 1))
 (1632 196 (:DEFINITION LEN))
 (1434 144 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (1388 434 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (1376 32 (:REWRITE LEN-WHEN-PREFIXP))
 (1375 1375 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1364 124 (:REWRITE SUBSETP-CAR-MEMBER))
 (1127 1127 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (1124 1124 (:TYPE-PRESCRIPTION ABS-PLACE-FILE-HELPER-OF-APPEND-LEMMA-2))
 (1122 374 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (1116 248 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1048 124 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (992 248 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (962 104 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-68))
 (930 62 (:REWRITE ZP-OPEN))
 (896 64 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (892 892 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (868 868 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (868 868 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (864 20 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (858 429 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (800 124 (:DEFINITION NATP))
 (740 122 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (722 722 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (685 685 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (660 228 (:REWRITE DEFAULT-+-2))
 (658 658 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (658 658 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (656 656 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (642 642 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (546 22 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-10))
 (544 64 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (504 296 (:REWRITE DEFAULT-<-2))
 (496 496 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (468 468 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (464 32 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (446 446 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (437 437 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (434 434 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (434 16 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (392 296 (:REWRITE DEFAULT-<-1))
 (380 70 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (372 372 (:TYPE-PRESCRIPTION NATP))
 (336 16 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (335 335 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (335 335 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (316 66 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (303 303 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (288 64 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (279 279 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (279 279 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (252 56 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX))
 (248 248 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (248 124 (:REWRITE SET-EQUIV-ASYM))
 (248 124 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (239 239 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (239 239 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (228 228 (:REWRITE DEFAULT-+-1))
 (192 192 (:TYPE-PRESCRIPTION ABS-FILE))
 (192 64 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (185 37 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (178 178 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (176 176 (:TYPE-PRESCRIPTION PREFIXP))
 (164 164 (:LINEAR LEN-WHEN-PREFIXP))
 (164 164 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (154 154 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (144 144 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-79))
 (140 140 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-OF-APPEND-LEMMA-1))
 (136 4 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 2))
 (124 124 (:TYPE-PRESCRIPTION SET-EQUIV))
 (124 124 (:REWRITE SUBSETP-OF-CDR))
 (124 124 (:REWRITE SUBSETP-MEMBER . 4))
 (124 124 (:REWRITE SUBSETP-MEMBER . 3))
 (124 124 (:REWRITE SUBSETP-MEMBER . 2))
 (124 124 (:REWRITE SUBSETP-MEMBER . 1))
 (124 124 (:REWRITE MEMBER-WHEN-ATOM))
 (124 124 (:REWRITE INTERSECTP-MEMBER . 3))
 (124 124 (:REWRITE INTERSECTP-MEMBER . 2))
 (108 108 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-28))
 (104 104 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-37))
 (104 104 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-21))
 (100 100 (:REWRITE ABS-NO-DUPS-FILE-P-OF-ABS-NO-DUPS-FILE-FIX))
 (100 100 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-PLACE-FILE-HELPER))
 (94 94 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (79 79 (:LINEAR COLLAPSE-HIFAT-PLACE-FILE-LEMMA-89))
 (66 66 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (64 64 (:TYPE-PRESCRIPTION D-E-P))
 (64 64 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (64 64 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (64 64 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (64 64 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (64 64 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (64 64 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (64 64 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (64 32 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (64 32 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (48 20 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (34 34 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (34 34 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (32 32 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (32 32 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (32 32 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (32 32 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (32 32 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (30 30 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-NO-DUPS-FILE-FIX))
 (26 26 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-72))
 (22 22 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (20 20 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (20 20 (:LINEAR COLLAPSE-HIFAT-PLACE-FILE-LEMMA-90))
 (16 16 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (16 16 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (16 2 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (14 14 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-1))
 (12 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (8 8 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (6 2 (:REWRITE ABS-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-EQUIV))
 (4 4 (:TYPE-PRESCRIPTION ABSFAT-EQUIV))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-112
 (7856 112 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (7074 56 (:DEFINITION PUT-ASSOC-EQUAL))
 (6192 119 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (6107 592 (:DEFINITION ASSOC-EQUAL))
 (4866 34 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (3200 102 (:REWRITE HIFAT-NO-DUPS-P-OF-HIFAT-PLACE-FILE))
 (2844 77 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-97))
 (2645 199 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (2393 1397 (:REWRITE DEFAULT-CDR))
 (2118 2118 (:REWRITE DEFAULT-CAR))
 (1864 174 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (1843 77 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (1717 1717 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (1642 566 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1463 1463 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (1296 1296 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1232 154 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (1202 141 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER-LEMMA-1))
 (1155 77 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (1014 169 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (924 924 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (829 104 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-52))
 (822 822 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (714 34 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (616 154 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (612 34 (:REWRITE EQUAL-OF-M1-FILE))
 (578 578 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-OF-APPEND-LEMMA-1))
 (522 34 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-10))
 (521 521 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (510 34 (:REWRITE ZP-OPEN))
 (493 493 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (492 154 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (468 238 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (385 385 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (342 342 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (340 34 (:REWRITE M1-FILE-CONTENTS-FIX-WHEN-M1-FILE-CONTENTS-P))
 (308 308 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (308 308 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (308 308 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (232 116 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (210 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-222))
 (204 34 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (185 185 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (185 185 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (171 171 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (154 154 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (142 142 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (136 68 (:REWRITE DEFAULT-<-2))
 (125 25 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (119 119 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (119 119 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (119 119 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (102 102 (:TYPE-PRESCRIPTION M1-FILE))
 (102 102 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-1))
 (102 34 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (102 34 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (83 83 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (83 83 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (83 83 (:LINEAR COLLAPSE-HIFAT-PLACE-FILE-LEMMA-90))
 (83 1 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (76 76 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (76 76 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (74 1 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (70 70 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (70 70 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (68 68 (:REWRITE DEFAULT-<-1))
 (68 34 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (66 66 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (50 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (34 34 (:TYPE-PRESCRIPTION D-E-P))
 (34 34 (:REWRITE M1-FILE->CONTENTS$INLINE-OF-M1-FILE-FIX-X))
 (34 34 (:REWRITE D-E-P-OF-M1-FILE->D-E))
 (24 24 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (24 4 (:DEFINITION LEN))
 (20 20 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (12 4 (:REWRITE DEFAULT-+-2))
 (12 2 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-3))
 (4 4 (:REWRITE DEFAULT-+-1))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-114
 (339451 3350 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (332119 8585 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (290828 2616 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (288390 8455 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (219069 147 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-53))
 (198744 762 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (135377 40 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-109))
 (127774 967 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (85748 1904 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (84449 935 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (74185 2423 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (59771 1153 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (49007 67 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (48999 894 (:REWRITE LEN-WHEN-PREFIXP))
 (38459 20 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-11))
 (37417 236 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (36731 1791 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (29539 932 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (28706 4148 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (27380 3190 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (25086 2518 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (22899 8448 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (21828 678 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (19300 917 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (17377 2424 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (16428 762 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (14349 1794 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (13926 2154 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (13849 1332 (:DEFINITION ASSOC-EQUAL))
 (13775 894 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (12971 1578 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (12661 894 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (11083 9489 (:REWRITE DEFAULT-CDR))
 (10117 8581 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (10109 2518 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (9990 762 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (9809 899 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (9735 145 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (9682 894 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (9116 800 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (8857 3351 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (8728 1640 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (8656 8656 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (7966 2246 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (7941 7941 (:REWRITE DEFAULT-CAR))
 (7332 2487 (:REWRITE DEFAULT-+-2))
 (6745 917 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (6707 1788 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (5816 5816 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (5457 917 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (5386 5386 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (5346 891 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (5229 5229 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (5208 1003 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (5037 5037 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4926 4926 (:TYPE-PRESCRIPTION PREFIXP))
 (4771 4771 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (4248 678 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (3557 141 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-97))
 (3495 141 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (3490 1835 (:REWRITE DEFAULT-<-2))
 (3436 552 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (3427 1835 (:REWRITE DEFAULT-<-1))
 (3351 3351 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2935 587 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (2926 414 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (2869 1578 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (2774 2774 (:LINEAR LEN-WHEN-PREFIXP))
 (2693 2693 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2664 2664 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2512 414 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (2487 2487 (:REWRITE DEFAULT-+-1))
 (2465 415 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (2271 2271 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (2238 414 (:REWRITE NFIX-WHEN-NATP))
 (2115 141 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (2070 414 (:DEFINITION NFIX))
 (1848 231 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (1800 1791 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1791 1791 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1791 1791 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1791 1791 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1791 1791 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1791 1791 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1629 1629 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (1578 1578 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1541 1541 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (1524 1524 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (1524 762 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (1437 1437 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (1410 414 (:DEFINITION NATP))
 (1104 1104 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (924 231 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (917 917 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (828 828 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (807 807 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (807 807 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (797 231 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (678 678 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (654 654 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (587 587 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (587 587 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (587 67 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (551 551 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (551 282 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-52))
 (482 482 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (462 462 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (462 462 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (431 4 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (414 414 (:TYPE-PRESCRIPTION NATP))
 (297 297 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (297 297 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (280 20 (:REWRITE ZP-OPEN))
 (235 235 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (231 231 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (222 222 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (181 58 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (145 145 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (145 145 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (145 145 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (143 143 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (141 141 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (141 141 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (122 122 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-79))
 (59 59 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-72))
 (58 58 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (51 51 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (38 3 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (27 3 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (25 25 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (20 20 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-HELPER))
 (20 20 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE-HELPER))
 (9 9 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (9 3 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (6 3 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-28))
 (2 2 (:REWRITE ABS-TOP-ADDRS-OF-ABS-FS-FIX))
 (1 1 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-115
 (219 73 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (165 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-5))
 (128 10 (:REWRITE DEFAULT-CDR))
 (105 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (90 30 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (89 2 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (88 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (78 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-13))
 (60 3 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (57 3 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (54 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-53))
 (36 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-97))
 (30 3 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (27 3 (:DEFINITION ASSOC-EQUAL))
 (26 4 (:DEFINITION LEN))
 (24 3 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (23 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (22 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (21 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (20 3 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (19 1 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (18 1 (:REWRITE ZP-OPEN))
 (15 15 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (15 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (13 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (12 12 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (12 5 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (12 4 (:REWRITE DEFAULT-+-2))
 (12 3 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (12 3 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (12 3 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (9 9 (:REWRITE DEFAULT-CAR))
 (9 1 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (8 8 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (8 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (6 6 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (6 3 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (6 2 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (6 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (6 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (6 1 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (4 4 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (4 4 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (4 4 (:TYPE-PRESCRIPTION ABS-FS-P))
 (4 4 (:REWRITE DEFAULT-+-1))
 (4 2 (:REWRITE DEFAULT-<-2))
 (4 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (3 3 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (3 3 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-72))
 (3 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (2 2 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (2 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1 1 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (1 1 (:REWRITE SUBSETP-MEMBER . 4))
 (1 1 (:REWRITE SUBSETP-MEMBER . 3))
 (1 1 (:REWRITE SUBSETP-MEMBER . 2))
 (1 1 (:REWRITE SUBSETP-MEMBER . 1))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-116
 (2054 622 (:REWRITE DEFAULT-CDR))
 (1450 574 (:REWRITE DEFAULT-+-2))
 (1362 98 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (1260 84 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (1242 112 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (964 32 (:REWRITE CONSP-OF-NTHCDR))
 (884 188 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (840 82 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (660 356 (:REWRITE DEFAULT-<-2))
 (586 574 (:REWRITE DEFAULT-+-1))
 (408 356 (:REWRITE DEFAULT-<-1))
 (376 376 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (346 82 (:REWRITE DEFAULT-CAR))
 (222 44 (:DEFINITION NATP))
 (168 168 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (168 168 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (156 156 (:LINEAR LEN-WHEN-PREFIXP))
 (156 156 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (138 32 (:REWRITE ZP-OPEN))
 (48 48 (:TYPE-PRESCRIPTION NATP))
 (44 44 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (40 20 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (18 18 (:REWRITE DEFAULT-UNARY-MINUS))
 (8 8 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (6 6 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
