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(SYNDEF::MAP[BOOL->STRING]-FIX-UNDER-MAP[BOOL->STRING]-EQUIV)
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(SYNDEF::EQUAL-OF-MAP[BOOL->STRING]-FIX-2-FORWARD-TO-MAP[BOOL->STRING]-EQUIV)
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(SYNDEF::MAP[BOOL->STRING]-EQUIV-OF-MAP[BOOL->STRING]-FIX-2-FORWARD)
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(SYNDEF::SET[SET[STRING]]-EQUIV-IMPLIES-EQUAL-SET[SET[STRING]]-FIX-1)
(SYNDEF::SET[SET[STRING]]-FIX-UNDER-SET[SET[STRING]]-EQUIV)
(SYNDEF::EQUAL-OF-SET[SET[STRING]]-FIX-1-FORWARD-TO-SET[SET[STRING]]-EQUIV)
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(SYNDEF::SET[SET[STRING]]-EQUIV-OF-SET[SET[STRING]]-FIX-2-FORWARD)
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(TMP-DEFTYPES-IFIX-WHEN-INTEGERP)
(SYNDEF::|MAP[simple-test->INT]-P|)
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 )
(SYNDEF::|MAPP-WHEN-MAP[simple-test->INT]-P|)
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 )
(SYNDEF::|simple-test-P-OF-HEAD-KEY-WHEN-MAP[simple-test->INT]-P|
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 )
(SYNDEF::|INTEGERP-OF-HEAD-VAL-WHEN-MAP[simple-test->INT]-P|
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 )
(SYNDEF::|MAP[simple-test->INT]-P-OF-UPDATE|
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 )
(SYNDEF::|MAP[simple-test->INT]-P-OF-UPDATE*|
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 )
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 )
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 )
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 )
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 )
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 )
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(SYNDEF::|test-types-random1->my_seq2-OF-test-types-random1|)
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(SYNDEF::|test-types-random1->my_map2-OF-test-types-random1|
 (81 63 (:TYPE-PRESCRIPTION SYNDEF::MAP[SEQUENCE[INT]->SET[STRING]]-FIX))
 (18 18 (:TYPE-PRESCRIPTION SYNDEF::|test-types-random1|))
 )
(SYNDEF::|test-types-random1-OF-FIELDS|
 (3 1 (:REWRITE SYNDEF::|test-types-random1-FIX-WHEN-test-types-random1-P|))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|test-types-random1-P|))
 )
(SYNDEF::|test-types-random1-FIX-WHEN-test-types-random1|
 (3 1 (:REWRITE SYNDEF::|test-types-random1-FIX-WHEN-test-types-random1-P|))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|test-types-random1-P|))
 )
(SYNDEF::|EQUAL-OF-test-types-random1|)
(SYNDEF::|test-types-random1-OF-SET[BOOL]-FIX-my_set1|
 (4 2 (:REWRITE SYNDEF::SET[SET[STRING]]-FIX-WHEN-SET[SET[STRING]]-P))
 (4 2 (:REWRITE SYNDEF::|SEQUENCE[MAP[simple-test->INT]]-FIX-WHEN-SEQUENCE[MAP[simple-test->INT]]-P|))
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 (4 2 (:REWRITE SYNDEF::|OPTION[simple-test]-FIX-WHEN-OPTION[simple-test]-P|))
 (4 2 (:REWRITE SYNDEF::|OPTION[OPTION[simple-test]]-FIX-WHEN-OPTION[OPTION[simple-test]]-P|))
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 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SET[SET[STRING]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[MAP[simple-test->INT]]-P|))
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 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[SEQUENCE[INT]->SET[STRING]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[BOOL->STRING]-P))
 )
(SYNDEF::|test-types-random1-SET[BOOL]-EQUIV-CONGRUENCE-ON-my_set1|)
(SYNDEF::|test-types-random1-OF-SEQUENCE[INT]-FIX-my_seq1|
 (4 2 (:REWRITE SYNDEF::SET[SET[STRING]]-FIX-WHEN-SET[SET[STRING]]-P))
 (4 2 (:REWRITE SYNDEF::SET[BOOL]-FIX-WHEN-SET[BOOL]-P))
 (4 2 (:REWRITE SYNDEF::|SEQUENCE[MAP[simple-test->INT]]-FIX-WHEN-SEQUENCE[MAP[simple-test->INT]]-P|))
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 (4 2 (:REWRITE SYNDEF::|OPTION[OPTION[simple-test]]-FIX-WHEN-OPTION[OPTION[simple-test]]-P|))
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 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SET[BOOL]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[MAP[simple-test->INT]]-P|))
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 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|OPTION[OPTION[simple-test]]-P|))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[SEQUENCE[INT]->SET[STRING]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[BOOL->STRING]-P))
 )
(SYNDEF::|test-types-random1-SEQUENCE[INT]-EQUIV-CONGRUENCE-ON-my_seq1|)
(SYNDEF::|test-types-random1-OF-OPTION[simple-test]-FIX-my_opt1|
 (4 2 (:REWRITE SYNDEF::SET[SET[STRING]]-FIX-WHEN-SET[SET[STRING]]-P))
 (4 2 (:REWRITE SYNDEF::SET[BOOL]-FIX-WHEN-SET[BOOL]-P))
 (4 2 (:REWRITE SYNDEF::|SEQUENCE[MAP[simple-test->INT]]-FIX-WHEN-SEQUENCE[MAP[simple-test->INT]]-P|))
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 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[BOOL->STRING]-P))
 )
(SYNDEF::|test-types-random1-OPTION[simple-test]-EQUIV-CONGRUENCE-ON-my_opt1|)
(SYNDEF::|test-types-random1-OF-MAP[BOOL->STRING]-FIX-my_map1|
 (4 2 (:REWRITE SYNDEF::SET[SET[STRING]]-FIX-WHEN-SET[SET[STRING]]-P))
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 (4 2 (:REWRITE SYNDEF::|SEQUENCE[MAP[simple-test->INT]]-FIX-WHEN-SEQUENCE[MAP[simple-test->INT]]-P|))
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 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[MAP[simple-test->INT]]-P|))
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 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|OPTION[OPTION[simple-test]]-P|))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[SEQUENCE[INT]->SET[STRING]]-P))
 )
(SYNDEF::|test-types-random1-MAP[BOOL->STRING]-EQUIV-CONGRUENCE-ON-my_map1|)
(SYNDEF::|test-types-random1-OF-SET[SET[STRING]]-FIX-my_set2|
 (4 2 (:REWRITE SYNDEF::SET[BOOL]-FIX-WHEN-SET[BOOL]-P))
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 )
(SYNDEF::|test-types-random1-SET[SET[STRING]]-EQUIV-CONGRUENCE-ON-my_set2|)
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 )
(SYNDEF::|test-types-random1-SEQUENCE[MAP[simple-test->INT]]-EQUIV-CONGRUENCE-ON-my_seq2|)
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 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[BOOL->STRING]-P))
 )
(SYNDEF::|test-types-random1-OPTION[OPTION[simple-test]]-EQUIV-CONGRUENCE-ON-my_opt2|)
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 )
(SYNDEF::|test-types-random1-MAP[SEQUENCE[INT]->SET[STRING]]-EQUIV-CONGRUENCE-ON-my_map2|)
(SYNDEF::|test-types-random1-FIX-REDEF|)
(SYNDEF::|TAG-OF-test-types-random1|)
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 (14 2 (:REWRITE BOOL-FIX-WHEN-BOOLEANP))
 (8 2 (:REWRITE SYNDEF::BOOLEANP-OF-CAR-WHEN-SEQUENCE[BOOL]-P))
 (4 4 (:TYPE-PRESCRIPTION BOOLEANP))
 )
(SYNDEF::CDR-SEQUENCE[BOOL]-EQUIV-CONGRUENCE-ON-X-UNDER-SEQUENCE[BOOL]-EQUIV)
(SYNDEF::CONS-OF-BOOL-FIX-X-UNDER-SEQUENCE[BOOL]-EQUIV
 (20 4 (:REWRITE SYNDEF::SEQUENCE[BOOL]-FIX-WHEN-SEQUENCE[BOOL]-P))
 (9 2 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-OF-CONS))
 (6 6 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[BOOL]-P))
 (5 5 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-WHEN-NOT-CONSP))
 )
(SYNDEF::CONS-IFF-CONGRUENCE-ON-X-UNDER-SEQUENCE[BOOL]-EQUIV)
(SYNDEF::CONS-OF-SEQUENCE[BOOL]-FIX-Y-UNDER-SEQUENCE[BOOL]-EQUIV
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 (8 8 (:TYPE-PRESCRIPTION BOOLEANP))
 (5 4 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-WHEN-NOT-CONSP))
 (4 2 (:REWRITE BOOL-FIX-WHEN-BOOLEANP))
 )
(SYNDEF::CONS-SEQUENCE[BOOL]-EQUIV-CONGRUENCE-ON-Y-UNDER-SEQUENCE[BOOL]-EQUIV)
(SYNDEF::CONSP-OF-SEQUENCE[BOOL]-FIX
 (12 2 (:REWRITE SYNDEF::SEQUENCE[BOOL]-FIX-WHEN-SEQUENCE[BOOL]-P))
 (8 8 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[BOOL]-P))
 (7 1 (:REWRITE BOOL-FIX-WHEN-BOOLEANP))
 (4 4 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-WHEN-NOT-CONSP))
 (4 1 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-OF-CDR-WHEN-SEQUENCE[BOOL]-P))
 (4 1 (:REWRITE SYNDEF::BOOLEANP-OF-CAR-WHEN-SEQUENCE[BOOL]-P))
 (2 2 (:TYPE-PRESCRIPTION BOOLEANP))
 )
(SYNDEF::SEQUENCE[BOOL]-FIX-UNDER-IFF
 (12 2 (:REWRITE SYNDEF::SEQUENCE[BOOL]-FIX-WHEN-SEQUENCE[BOOL]-P))
 (8 8 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[BOOL]-P))
 (7 1 (:REWRITE BOOL-FIX-WHEN-BOOLEANP))
 (4 4 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-WHEN-NOT-CONSP))
 (4 1 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-OF-CDR-WHEN-SEQUENCE[BOOL]-P))
 (4 1 (:REWRITE SYNDEF::BOOLEANP-OF-CAR-WHEN-SEQUENCE[BOOL]-P))
 (2 2 (:TYPE-PRESCRIPTION BOOLEANP))
 )
(SYNDEF::SEQUENCE[BOOL]-FIX-OF-CONS
 (13 3 (:REWRITE SYNDEF::SEQUENCE[BOOL]-FIX-WHEN-SEQUENCE[BOOL]-P))
 (5 1 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-OF-CONS))
 (4 4 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[BOOL]-P))
 (4 4 (:TYPE-PRESCRIPTION BOOLEANP))
 (4 2 (:REWRITE BOOL-FIX-WHEN-BOOLEANP))
 (3 3 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-WHEN-NOT-CONSP))
 )
(SYNDEF::LEN-OF-SEQUENCE[BOOL]-FIX
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 (13 13 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[BOOL]-P))
 (8 2 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-OF-CDR-WHEN-SEQUENCE[BOOL]-P))
 (7 7 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-WHEN-NOT-CONSP))
 (7 1 (:REWRITE BOOL-FIX-WHEN-BOOLEANP))
 (4 1 (:REWRITE SYNDEF::BOOLEANP-OF-CAR-WHEN-SEQUENCE[BOOL]-P))
 (2 2 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE FTY::EQUAL-OF-LEN))
 )
(SYNDEF::SEQUENCE[BOOL]-FIX-OF-APPEND
 (56 10 (:REWRITE SYNDEF::SEQUENCE[BOOL]-FIX-WHEN-SEQUENCE[BOOL]-P))
 (23 23 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[BOOL]-P))
 (18 12 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-WHEN-NOT-CONSP))
 (8 2 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-OF-CDR-WHEN-SEQUENCE[BOOL]-P))
 (8 2 (:REWRITE BOOL-FIX-WHEN-BOOLEANP))
 (4 1 (:REWRITE SYNDEF::BOOLEANP-OF-CAR-WHEN-SEQUENCE[BOOL]-P))
 (2 2 (:TYPE-PRESCRIPTION BOOLEANP))
 )
(SYNDEF::SEQUENCE[BOOL]-FIX-OF-REPEAT
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 (10 4 (:REWRITE BOOL-FIX-WHEN-BOOLEANP))
 (8 2 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-WHEN-NOT-CONSP))
 (6 6 (:TYPE-PRESCRIPTION BOOLEANP))
 (4 4 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[BOOL]-P))
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 )
(SYNDEF::LIST-EQUIV-REFINES-SEQUENCE[BOOL]-EQUIV
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 (72 8 (:REWRITE BOOL-FIX-WHEN-BOOLEANP))
 (70 70 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[BOOL]-P))
 (60 18 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-OF-CDR-WHEN-SEQUENCE[BOOL]-P))
 (48 8 (:REWRITE SYNDEF::BOOLEANP-OF-CAR-WHEN-SEQUENCE[BOOL]-P))
 (36 36 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-WHEN-NOT-CONSP))
 (16 16 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 )
(SYNDEF::NTH-OF-SEQUENCE[BOOL]-FIX
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 (107 20 (:REWRITE SYNDEF::SEQUENCE[BOOL]-FIX-WHEN-SEQUENCE[BOOL]-P))
 (73 73 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[BOOL]-P))
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 (44 11 (:REWRITE SYNDEF::BOOLEANP-OF-CAR-WHEN-SEQUENCE[BOOL]-P))
 (39 39 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-WHEN-NOT-CONSP))
 (32 8 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-OF-CDR-WHEN-SEQUENCE[BOOL]-P))
 (4 4 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (4 4 (:LINEAR LISTPOS-UPPER-BOUND-STRONG-2))
 (4 4 (:LINEAR LEN-WHEN-PREFIXP))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(SYNDEF::SEQUENCE[BOOL]-EQUIV-IMPLIES-SEQUENCE[BOOL]-EQUIV-APPEND-1
 (181 32 (:REWRITE SYNDEF::SEQUENCE[BOOL]-FIX-WHEN-SEQUENCE[BOOL]-P))
 (131 17 (:REWRITE BOOL-FIX-WHEN-BOOLEANP))
 (126 126 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[BOOL]-P))
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 (79 22 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-OF-CDR-WHEN-SEQUENCE[BOOL]-P))
 (64 64 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-WHEN-NOT-CONSP))
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 )
(SYNDEF::SEQUENCE[BOOL]-EQUIV-IMPLIES-SEQUENCE[BOOL]-EQUIV-APPEND-2
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 (206 26 (:REWRITE BOOL-FIX-WHEN-BOOLEANP))
 (189 189 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[BOOL]-P))
 (138 39 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-OF-CDR-WHEN-SEQUENCE[BOOL]-P))
 (128 26 (:REWRITE SYNDEF::BOOLEANP-OF-CAR-WHEN-SEQUENCE[BOOL]-P))
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 (4 4 (:REWRITE SYNDEF::CONSP-OF-SEQUENCE[BOOL]-FIX))
 )
(SYNTHETO::SEQUENCE[BOOL]-EQUIV-IMPLIES-SEQUENCE[BOOL]-EQUIV-NTHCDR-2
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 (175 175 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[BOOL]-P))
 (174 22 (:REWRITE BOOL-FIX-WHEN-BOOLEANP))
 (117 33 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-OF-CDR-WHEN-SEQUENCE[BOOL]-P))
 (108 22 (:REWRITE SYNDEF::BOOLEANP-OF-CAR-WHEN-SEQUENCE[BOOL]-P))
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 )
(SYNTHETO::SEQUENCE[BOOL]-EQUIV-IMPLIES-SEQUENCE[BOOL]-EQUIV-TAKE-2
 (326 38 (:REWRITE SYNDEF::SEQUENCE[BOOL]-FIX-WHEN-SEQUENCE[BOOL]-P))
 (222 28 (:REWRITE BOOL-FIX-WHEN-BOOLEANP))
 (190 190 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[BOOL]-P))
 (149 39 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-OF-CDR-WHEN-SEQUENCE[BOOL]-P))
 (140 26 (:REWRITE SYNDEF::BOOLEANP-OF-CAR-WHEN-SEQUENCE[BOOL]-P))
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 (54 54 (:TYPE-PRESCRIPTION BOOLEANP))
 (6 6 (:REWRITE-QUOTED-CONSTANT SYNDEF::SEQUENCE[BOOL]-FIX-UNDER-SEQUENCE[BOOL]-EQUIV))
 (1 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 )
(SYNDEF::|SET[simple-test]-P|)
(SYNDEF::|BOOLEANP-OFSET[simple-test]-P|
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 (2 2 (:TYPE-PRESCRIPTION FAST-<<))
 )
(SYNDEF::|SETP-WHEN-SET[simple-test]-P|)
(SYNDEF::|simple-test-P-OF-HEAD-WHEN-SET[simple-test]-P|
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 (19 5 (:REWRITE <<-TRICHOTOMY))
 (17 3 (:REWRITE <<-ASYMMETRIC))
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 (12 4 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
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 (5 5 (:REWRITE <<-TRANSITIVE))
 (4 4 (:TYPE-PRESCRIPTION FAST-<<))
 (4 4 (:REWRITE DEFAULT-CDR))
 (4 1 (:REWRITE SET::SFIX-WHEN-EMPTYP))
 (3 3 (:REWRITE SYNDEF::|simple-test-P-WHEN-ASSOC-MAP[simple-test->INT]-P-BINDS-FREE-X|))
 (3 1 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (3 1 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (3 1 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (2 2 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 )
(SYNDEF::|SET[simple-test]-P-OF-TAIL-WHEN-SET[simple-test]-P|
 (57 15 (:REWRITE <<-TRICHOTOMY))
 (51 9 (:REWRITE <<-ASYMMETRIC))
 (22 22 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (22 22 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
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 (21 7 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
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 (12 4 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (9 9 (:REWRITE DEFAULT-CAR))
 (4 4 (:TYPE-PRESCRIPTION SYNDEF::|simple-test-P|))
 (4 4 (:TYPE-PRESCRIPTION FAST-<<))
 (3 3 (:REWRITE SYNDEF::|simple-test-P-WHEN-ASSOC-MAP[simple-test->INT]-P-BINDS-FREE-X|))
 (3 1 (:REWRITE SET::SFIX-WHEN-EMPTYP))
 (3 1 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (2 2 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 )
(SYNDEF::|SET[simple-test]-P-OF-INSERT|
 (198 164 (:REWRITE <<-TRANSITIVE))
 (182 10 (:REWRITE SET::INSERT-WHEN-EMPTYP))
 (165 35 (:REWRITE SET::SFIX-WHEN-EMPTYP))
 (157 27 (:REWRITE SET::HEAD-WHEN-EMPTYP))
 (132 8 (:REWRITE SET::TAIL-WHEN-EMPTYP))
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 (120 104 (:REWRITE DEFAULT-CDR))
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 (90 18 (:REWRITE SET::INSERT-IDENTITY))
 (76 76 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (76 76 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (69 23 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (69 23 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
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 (48 12 (:REWRITE SYNDEF::SETP-WHEN-SET[STRING]-P))
 (45 15 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (45 15 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (45 15 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
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 (36 12 (:REWRITE SYNDEF::SETP-WHEN-SET[SET[STRING]]-P))
 (36 12 (:REWRITE SYNDEF::SETP-WHEN-SET[INT]-P))
 (36 12 (:REWRITE SYNDEF::SETP-WHEN-SET[CHARACTER]-P))
 (36 12 (:REWRITE SYNDEF::SETP-WHEN-SET[BOOL]-P))
 (32 12 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (27 27 (:REWRITE SET::IN-TAIL-OR-HEAD))
 (25 25 (:REWRITE SYNDEF::|simple-test-P-WHEN-ASSOC-MAP[simple-test->INT]-P-BINDS-FREE-X|))
 (24 24 (:TYPE-PRESCRIPTION SYNDEF::SET[STRING]-P))
 (24 24 (:TYPE-PRESCRIPTION SYNDEF::SET[SET[STRING]]-P))
 (24 24 (:TYPE-PRESCRIPTION SYNDEF::SET[INT]-P))
 (24 24 (:TYPE-PRESCRIPTION SYNDEF::SET[CHARACTER]-P))
 (24 24 (:TYPE-PRESCRIPTION SYNDEF::SET[BOOL]-P))
 (12 12 (:REWRITE SYNDEF::SET[STRING]-P-WHEN-IN-SET[SET[STRING]]-P-BINDS-FREE-X))
 (12 12 (:REWRITE SET::IN-SET))
 (12 4 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (1 1 (:REWRITE <<-IRREFLEXIVE))
 )
(SYNDEF::|simple-test-P-WHEN-IN-SET[simple-test]-P-BINDS-FREE-X|
 (32 32 (:TYPE-PRESCRIPTION SET::SFIX$INLINE))
 (25 1 (:REWRITE FAST-<<-IS-<<))
 (19 5 (:REWRITE <<-TRICHOTOMY))
 (17 3 (:REWRITE <<-ASYMMETRIC))
 (12 12 (:TYPE-PRESCRIPTION <<))
 (12 4 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (12 4 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (11 5 (:REWRITE DEFAULT-CAR))
 (10 10 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (10 10 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (5 5 (:REWRITE <<-TRANSITIVE))
 (4 4 (:REWRITE DEFAULT-CDR))
 (3 3 (:TYPE-PRESCRIPTION FAST-<<))
 (3 3 (:REWRITE SYNDEF::|simple-test-P-WHEN-ASSOC-MAP[simple-test->INT]-P-BINDS-FREE-X|))
 (3 1 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (3 1 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (3 1 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (2 2 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 (1 1 (:REWRITE SET::SFIX-WHEN-EMPTYP))
 )
(SYNDEF::|NOT-IN-SET[simple-test]-P-WHEN-NOT-simple-test-P|
 (4 1 (:DEFINITION SYNDEF::|SET[simple-test]-P|))
 (1 1 (:TYPE-PRESCRIPTION FAST-<<))
 )
(SYNDEF::|SET[simple-test]-P-OF-UNION|
 (418 418 (:REWRITE SYNDEF::|simple-test-P-WHEN-IN-SET[simple-test]-P-BINDS-FREE-X|))
 (36 36 (:TYPE-PRESCRIPTION SET::INSERT))
 )
(SYNDEF::|SET[simple-test]-P-OF-INTERSECT|
 (202 53 (:REWRITE <<-TRICHOTOMY))
 (176 31 (:REWRITE <<-ASYMMETRIC))
 (120 30 (:REWRITE SET::IN-TAIL))
 (78 6 (:REWRITE SET::INSERT-IDENTITY))
 (66 66 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (66 66 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (66 22 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (66 22 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (66 6 (:REWRITE SET::INTERSECT-IN))
 (64 34 (:REWRITE SET::TAIL-WHEN-EMPTYP))
 (54 18 (:REWRITE SET::INTERSECT-EMPTYP-Y))
 (54 18 (:REWRITE SET::INTERSECT-EMPTYP-X))
 (53 53 (:REWRITE <<-TRANSITIVE))
 (44 44 (:REWRITE DEFAULT-CDR))
 (34 34 (:TYPE-PRESCRIPTION SET::SFIX$INLINE))
 (33 33 (:REWRITE DEFAULT-CAR))
 (33 11 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (33 11 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (33 11 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (27 9 (:REWRITE SET::NEVER-IN-EMPTY))
 (22 22 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 (18 6 (:REWRITE SET::INSERT-WHEN-EMPTYP))
 (15 15 (:REWRITE SET::IN-TAIL-OR-HEAD))
 (15 15 (:REWRITE SET::HEAD-WHEN-EMPTYP))
 (15 9 (:REWRITE SET::SFIX-WHEN-EMPTYP))
 (11 11 (:REWRITE SYNDEF::|simple-test-P-WHEN-ASSOC-MAP[simple-test->INT]-P-BINDS-FREE-X|))
 (6 6 (:REWRITE SET::HEAD-UNIQUE))
 )
(SYNDEF::|SET[simple-test]-P-OF-DIFFERENCE|
 (57 15 (:REWRITE <<-TRICHOTOMY))
 (51 9 (:REWRITE <<-ASYMMETRIC))
 (27 3 (:REWRITE SET::SUBSET-DIFFERENCE))
 (24 6 (:REWRITE SET::IN-TAIL))
 (22 22 (:REWRITE SYNDEF::|simple-test-P-WHEN-IN-SET[simple-test]-P-BINDS-FREE-X|))
 (22 2 (:REWRITE SET::INSERT-WHEN-EMPTYP))
 (18 18 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (18 18 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (18 6 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (18 6 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
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 (18 6 (:REWRITE SET::DIFFERENCE-EMPTYP-X))
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 (15 9 (:REWRITE SET::TAIL-WHEN-EMPTYP))
 (13 3 (:REWRITE SET::SFIX-WHEN-EMPTYP))
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 (9 9 (:REWRITE DEFAULT-CAR))
 (9 3 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (9 3 (:REWRITE SET::NEVER-IN-EMPTY))
 (9 3 (:REWRITE SET::EMPTYP-SUBSET-2))
 (9 3 (:REWRITE SET::EMPTYP-SUBSET))
 (9 3 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (9 3 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (8 2 (:REWRITE SET::INSERT-IDENTITY))
 (6 6 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 (5 5 (:REWRITE SET::IN-TAIL-OR-HEAD))
 (5 5 (:REWRITE SET::HEAD-WHEN-EMPTYP))
 (4 2 (:REWRITE SET::DIFFERENCE-IN))
 (3 3 (:REWRITE SYNDEF::|simple-test-P-WHEN-ASSOC-MAP[simple-test->INT]-P-BINDS-FREE-X|))
 (3 3 (:REWRITE SET::PICK-A-POINT-SUBSET-CONSTRAINT-HELPER))
 (2 2 (:REWRITE SET::HEAD-UNIQUE))
 )
(SYNDEF::|SET[simple-test]-P-OF-DELETE|
 (57 15 (:REWRITE <<-TRICHOTOMY))
 (51 9 (:REWRITE <<-ASYMMETRIC))
 (32 4 (:REWRITE SET::DELETE-NONMEMBER-CANCEL))
 (18 18 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (18 18 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (18 6 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (18 6 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (15 15 (:REWRITE SYNDEF::|simple-test-P-WHEN-IN-SET[simple-test]-P-BINDS-FREE-X|))
 (15 15 (:REWRITE <<-TRANSITIVE))
 (14 14 (:TYPE-PRESCRIPTION SET::IN-TYPE))
 (12 12 (:REWRITE DEFAULT-CDR))
 (12 4 (:REWRITE SET::NEVER-IN-EMPTY))
 (12 2 (:REWRITE SET::INSERT-WHEN-EMPTYP))
 (11 11 (:TYPE-PRESCRIPTION SYNDEF::|simple-test-P|))
 (11 11 (:TYPE-PRESCRIPTION FAST-<<))
 (9 9 (:REWRITE DEFAULT-CAR))
 (9 3 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (9 3 (:REWRITE SET::DELETE-PRESERVES-EMPTYP))
 (9 3 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (9 3 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (8 4 (:REWRITE SET::IN-TAIL))
 (8 2 (:REWRITE SET::INSERT-IDENTITY))
 (6 6 (:TYPE-PRESCRIPTION SET::SFIX$INLINE))
 (6 6 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 (6 6 (:REWRITE SET::TAIL-WHEN-EMPTYP))
 (6 1 (:REWRITE SET::SFIX-WHEN-EMPTYP))
 (5 5 (:REWRITE SET::IN-TAIL-OR-HEAD))
 (5 5 (:REWRITE SET::HEAD-WHEN-EMPTYP))
 (4 2 (:REWRITE SET::DELETE-IN))
 (3 3 (:REWRITE SYNDEF::|simple-test-P-WHEN-ASSOC-MAP[simple-test->INT]-P-BINDS-FREE-X|))
 (2 2 (:REWRITE SET::HEAD-UNIQUE))
 )
(SYNDEF::|SET[simple-test]-FIX|
 (1 1 (:TYPE-PRESCRIPTION SYNDEF::|SET[simple-test]-FIX|))
 )
(SYNDEF::|SET[simple-test]-P-OF-SET[simple-test]-FIX|)
(SYNDEF::|SET[simple-test]-FIX-WHEN-SET[simple-test]-P|
 (13 13 (:TYPE-PRESCRIPTION SYNDEF::|SET[simple-test]-FIX|))
 )
(SYNDEF::|EMPTYP-SET[simple-test]-FIX|
 (4 2 (:REWRITE SYNDEF::|SET[simple-test]-FIX-WHEN-SET[simple-test]-P|))
 )
(SYNDEF::|EMPTYP-OF-SET[simple-test]-FIX|
 (3 1 (:REWRITE SYNDEF::|SET[simple-test]-FIX-WHEN-SET[simple-test]-P|))
 )
(FTY::TMP-DEFFIXTYPE-IDEMPOTENT
 (24 24 (:TYPE-PRESCRIPTION SYNDEF::|SET[simple-test]-FIX|))
 )
(SYNDEF::|SET[simple-test]-EQUIV$INLINE|
 (4 4 (:TYPE-PRESCRIPTION SYNDEF::|SET[simple-test]-FIX|))
 )
(SYNDEF::|SET[simple-test]-EQUIV-IS-AN-EQUIVALENCE|)
(SYNDEF::|SET[simple-test]-EQUIV-IMPLIES-EQUAL-SET[simple-test]-FIX-1|)
(SYNDEF::|SET[simple-test]-FIX-UNDER-SET[simple-test]-EQUIV|)
(SYNDEF::|EQUAL-OF-SET[simple-test]-FIX-1-FORWARD-TO-SET[simple-test]-EQUIV|)
(SYNDEF::|EQUAL-OF-SET[simple-test]-FIX-2-FORWARD-TO-SET[simple-test]-EQUIV|)
(SYNDEF::|SET[simple-test]-EQUIV-OF-SET[simple-test]-FIX-1-FORWARD|)
(SYNDEF::|SET[simple-test]-EQUIV-OF-SET[simple-test]-FIX-2-FORWARD|)
(SYNDEF::SET[SEQUENCE[BOOL]]-P)
(SYNDEF::BOOLEANP-OFSET[SEQUENCE[BOOL]]-P
 (6 2 (:DEFINITION SYNDEF::SET[SEQUENCE[BOOL]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[BOOL]-P))
 (2 2 (:TYPE-PRESCRIPTION FAST-<<))
 )
(SYNDEF::SETP-WHEN-SET[SEQUENCE[BOOL]]-P)
(SYNDEF::SEQUENCE[BOOL]-P-OF-HEAD-WHEN-SET[SEQUENCE[BOOL]]-P
 (149 3 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-WHEN-NOT-CONSP))
 (122 6 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (102 3 (:DEFINITION ALISTP))
 (53 6 (:REWRITE ALISTP-WHEN-ATOM))
 (37 15 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (37 15 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (30 30 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (30 30 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (25 1 (:REWRITE FAST-<<-IS-<<))
 (21 21 (:TYPE-PRESCRIPTION ALISTP))
 (19 5 (:REWRITE <<-TRICHOTOMY))
 (17 3 (:REWRITE <<-ASYMMETRIC))
 (14 8 (:REWRITE DEFAULT-CAR))
 (12 12 (:TYPE-PRESCRIPTION <<))
 (12 6 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (12 6 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (12 4 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (12 4 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (12 4 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (11 11 (:TYPE-PRESCRIPTION SET::SFIX$INLINE))
 (8 8 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 (7 7 (:REWRITE DEFAULT-CDR))
 (6 6 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (6 6 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (6 3 (:REWRITE ALISTP-OF-CDR))
 (5 5 (:REWRITE <<-TRANSITIVE))
 (4 1 (:REWRITE SET::SFIX-WHEN-EMPTYP))
 (2 2 (:TYPE-PRESCRIPTION FAST-<<))
 (2 1 (:DEFINITION SET::EMPTYP$INLINE))
 (1 1 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 )
(SYNDEF::SET[SEQUENCE[BOOL]]-P-OF-TAIL-WHEN-SET[SEQUENCE[BOOL]]-P
 (250 3 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-WHEN-NOT-CONSP))
 (223 9 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (194 5 (:DEFINITION ALISTP))
 (97 10 (:REWRITE ALISTP-WHEN-ATOM))
 (60 24 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (60 24 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (57 15 (:REWRITE <<-TRICHOTOMY))
 (54 54 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (54 54 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (51 9 (:REWRITE <<-ASYMMETRIC))
 (45 7 (:REWRITE ALISTP-OF-CDR))
 (34 34 (:TYPE-PRESCRIPTION ALISTP))
 (28 10 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (28 10 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (28 10 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (26 20 (:REWRITE DEFAULT-CDR))
 (20 10 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (18 9 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (15 15 (:REWRITE DEFAULT-CAR))
 (15 15 (:REWRITE <<-TRANSITIVE))
 (14 14 (:TYPE-PRESCRIPTION SET::SFIX$INLINE))
 (10 10 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (9 9 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (9 3 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (4 4 (:TYPE-PRESCRIPTION FAST-<<))
 (3 1 (:REWRITE SET::SFIX-WHEN-EMPTYP))
 (2 2 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 )
(SYNDEF::SET[SEQUENCE[BOOL]]-P-OF-INSERT
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 (1100 50 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (950 27 (:DEFINITION ALISTP))
 (409 54 (:REWRITE ALISTP-WHEN-ATOM))
 (280 10 (:REWRITE SET::INSERT-WHEN-EMPTYP))
 (268 35 (:REWRITE ALISTP-OF-CDR))
 (263 35 (:REWRITE SET::SFIX-WHEN-EMPTYP))
 (258 100 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (258 100 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (255 27 (:REWRITE SET::HEAD-WHEN-EMPTYP))
 (230 230 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (230 230 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (230 8 (:REWRITE SET::TAIL-WHEN-EMPTYP))
 (198 164 (:REWRITE <<-TRANSITIVE))
 (185 185 (:TYPE-PRESCRIPTION ALISTP))
 (147 132 (:REWRITE DEFAULT-CAR))
 (147 127 (:REWRITE DEFAULT-CDR))
 (108 54 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (108 36 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (108 36 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (108 36 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (100 50 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (93 93 (:TYPE-PRESCRIPTION SET::SFIX$INLINE))
 (90 18 (:REWRITE SET::INSERT-IDENTITY))
 (54 54 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (54 54 (:TYPE-PRESCRIPTION SET::IN-TYPE))
 (50 50 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (48 12 (:REWRITE SYNDEF::SETP-WHEN-SET[STRING]-P))
 (36 18 (:REWRITE SET::IN-TAIL))
 (36 12 (:REWRITE SYNDEF::|SETP-WHEN-SET[simple-test]-P|))
 (36 12 (:REWRITE SYNDEF::SETP-WHEN-SET[SET[STRING]]-P))
 (36 12 (:REWRITE SYNDEF::SETP-WHEN-SET[INT]-P))
 (36 12 (:REWRITE SYNDEF::SETP-WHEN-SET[CHARACTER]-P))
 (36 12 (:REWRITE SYNDEF::SETP-WHEN-SET[BOOL]-P))
 (36 12 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (32 12 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (27 27 (:REWRITE SET::IN-TAIL-OR-HEAD))
 (24 24 (:TYPE-PRESCRIPTION SYNDEF::|SET[simple-test]-P|))
 (24 24 (:TYPE-PRESCRIPTION SYNDEF::SET[STRING]-P))
 (24 24 (:TYPE-PRESCRIPTION SYNDEF::SET[SET[STRING]]-P))
 (24 24 (:TYPE-PRESCRIPTION SYNDEF::SET[INT]-P))
 (24 24 (:TYPE-PRESCRIPTION SYNDEF::SET[CHARACTER]-P))
 (24 24 (:TYPE-PRESCRIPTION SYNDEF::SET[BOOL]-P))
 (12 12 (:REWRITE SYNDEF::SET[STRING]-P-WHEN-IN-SET[SET[STRING]]-P-BINDS-FREE-X))
 (12 12 (:REWRITE SET::IN-SET))
 (1 1 (:REWRITE <<-IRREFLEXIVE))
 )
(SYNDEF::SEQUENCE[BOOL]-P-WHEN-IN-SET[SEQUENCE[BOOL]]-P-BINDS-FREE-X
 (149 3 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-WHEN-NOT-CONSP))
 (122 6 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (102 3 (:DEFINITION ALISTP))
 (53 6 (:REWRITE ALISTP-WHEN-ATOM))
 (37 15 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (37 15 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (32 32 (:TYPE-PRESCRIPTION SET::SFIX$INLINE))
 (30 30 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (30 30 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (25 1 (:REWRITE FAST-<<-IS-<<))
 (21 21 (:TYPE-PRESCRIPTION ALISTP))
 (19 5 (:REWRITE <<-TRICHOTOMY))
 (17 3 (:REWRITE <<-ASYMMETRIC))
 (14 8 (:REWRITE DEFAULT-CAR))
 (12 12 (:TYPE-PRESCRIPTION <<))
 (12 6 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (12 6 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (12 4 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (12 4 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (12 4 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (8 8 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 (7 7 (:REWRITE DEFAULT-CDR))
 (6 6 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (6 6 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (6 3 (:REWRITE ALISTP-OF-CDR))
 (5 5 (:REWRITE <<-TRANSITIVE))
 (3 3 (:TYPE-PRESCRIPTION FAST-<<))
 (1 1 (:REWRITE SET::SFIX-WHEN-EMPTYP))
 )
(SYNDEF::NOT-IN-SET[SEQUENCE[BOOL]]-P-WHEN-NOT-SEQUENCE[BOOL]-P
 (4 1 (:DEFINITION SYNDEF::SET[SEQUENCE[BOOL]]-P))
 (1 1 (:TYPE-PRESCRIPTION FAST-<<))
 )
(SYNDEF::SET[SEQUENCE[BOOL]]-P-OF-UNION
 (418 418 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-WHEN-IN-SET[SEQUENCE[BOOL]]-P-BINDS-FREE-X))
 (36 36 (:TYPE-PRESCRIPTION SET::INSERT))
 )
(SYNDEF::SET[SEQUENCE[BOOL]]-P-OF-INTERSECT
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 (418 22 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (352 11 (:DEFINITION ALISTP))
 (202 53 (:REWRITE <<-TRICHOTOMY))
 (187 22 (:REWRITE ALISTP-WHEN-ATOM))
 (176 31 (:REWRITE <<-ASYMMETRIC))
 (143 55 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (143 55 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (132 132 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (132 132 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (120 30 (:REWRITE SET::IN-TAIL))
 (78 6 (:REWRITE SET::INSERT-IDENTITY))
 (77 77 (:TYPE-PRESCRIPTION ALISTP))
 (66 22 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (66 22 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (66 22 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (66 6 (:REWRITE SET::INTERSECT-IN))
 (64 34 (:REWRITE SET::TAIL-WHEN-EMPTYP))
 (55 55 (:REWRITE DEFAULT-CDR))
 (54 18 (:REWRITE SET::INTERSECT-EMPTYP-Y))
 (54 18 (:REWRITE SET::INTERSECT-EMPTYP-X))
 (53 53 (:REWRITE <<-TRANSITIVE))
 (44 44 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 (44 44 (:REWRITE DEFAULT-CAR))
 (44 22 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (44 22 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (34 34 (:TYPE-PRESCRIPTION SET::SFIX$INLINE))
 (27 9 (:REWRITE SET::NEVER-IN-EMPTY))
 (22 22 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (22 22 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (22 11 (:REWRITE ALISTP-OF-CDR))
 (18 6 (:REWRITE SET::INSERT-WHEN-EMPTYP))
 (15 15 (:REWRITE SET::IN-TAIL-OR-HEAD))
 (15 15 (:REWRITE SET::HEAD-WHEN-EMPTYP))
 (15 9 (:REWRITE SET::SFIX-WHEN-EMPTYP))
 (6 6 (:REWRITE SET::HEAD-UNIQUE))
 )
(SYNDEF::SET[SEQUENCE[BOOL]]-P-OF-DIFFERENCE
 (141 3 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-WHEN-NOT-CONSP))
 (114 6 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (96 3 (:DEFINITION ALISTP))
 (57 15 (:REWRITE <<-TRICHOTOMY))
 (51 9 (:REWRITE <<-ASYMMETRIC))
 (51 6 (:REWRITE ALISTP-WHEN-ATOM))
 (39 15 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (39 15 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (36 36 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (36 36 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (27 3 (:REWRITE SET::SUBSET-DIFFERENCE))
 (24 6 (:REWRITE SET::IN-TAIL))
 (22 22 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-WHEN-IN-SET[SEQUENCE[BOOL]]-P-BINDS-FREE-X))
 (22 2 (:REWRITE SET::INSERT-WHEN-EMPTYP))
 (21 21 (:TYPE-PRESCRIPTION ALISTP))
 (18 6 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (18 6 (:REWRITE SET::DIFFERENCE-EMPTYP-Y))
 (18 6 (:REWRITE SET::DIFFERENCE-EMPTYP-X))
 (18 6 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (18 6 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (15 15 (:REWRITE DEFAULT-CDR))
 (15 15 (:REWRITE <<-TRANSITIVE))
 (15 9 (:REWRITE SET::TAIL-WHEN-EMPTYP))
 (13 3 (:REWRITE SET::SFIX-WHEN-EMPTYP))
 (12 12 (:TYPE-PRESCRIPTION SET::SFIX$INLINE))
 (12 12 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
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 (12 6 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (12 6 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (9 3 (:REWRITE SET::NEVER-IN-EMPTY))
 (9 3 (:REWRITE SET::EMPTYP-SUBSET-2))
 (9 3 (:REWRITE SET::EMPTYP-SUBSET))
 (8 2 (:REWRITE SET::INSERT-IDENTITY))
 (6 6 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (6 6 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (6 3 (:REWRITE ALISTP-OF-CDR))
 (5 5 (:REWRITE SET::IN-TAIL-OR-HEAD))
 (5 5 (:REWRITE SET::HEAD-WHEN-EMPTYP))
 (4 2 (:REWRITE SET::DIFFERENCE-IN))
 (3 3 (:REWRITE SET::PICK-A-POINT-SUBSET-CONSTRAINT-HELPER))
 (2 2 (:REWRITE SET::HEAD-UNIQUE))
 )
(SYNDEF::SET[SEQUENCE[BOOL]]-P-OF-DELETE
 (141 3 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-WHEN-NOT-CONSP))
 (114 6 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (96 3 (:DEFINITION ALISTP))
 (57 15 (:REWRITE <<-TRICHOTOMY))
 (51 9 (:REWRITE <<-ASYMMETRIC))
 (51 6 (:REWRITE ALISTP-WHEN-ATOM))
 (39 15 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (39 15 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (36 36 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (36 36 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (32 4 (:REWRITE SET::DELETE-NONMEMBER-CANCEL))
 (21 21 (:TYPE-PRESCRIPTION ALISTP))
 (18 6 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (18 6 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (18 6 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (15 15 (:REWRITE SYNDEF::SEQUENCE[BOOL]-P-WHEN-IN-SET[SEQUENCE[BOOL]]-P-BINDS-FREE-X))
 (15 15 (:REWRITE DEFAULT-CDR))
 (15 15 (:REWRITE <<-TRANSITIVE))
 (14 14 (:TYPE-PRESCRIPTION SET::IN-TYPE))
 (12 12 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
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 (12 6 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (12 6 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (12 4 (:REWRITE SET::NEVER-IN-EMPTY))
 (12 2 (:REWRITE SET::INSERT-WHEN-EMPTYP))
 (11 11 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[BOOL]-P))
 (11 11 (:TYPE-PRESCRIPTION FAST-<<))
 (9 3 (:REWRITE SET::DELETE-PRESERVES-EMPTYP))
 (8 4 (:REWRITE SET::IN-TAIL))
 (8 2 (:REWRITE SET::INSERT-IDENTITY))
 (6 6 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (6 6 (:TYPE-PRESCRIPTION SET::SFIX$INLINE))
 (6 6 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (6 6 (:REWRITE SET::TAIL-WHEN-EMPTYP))
 (6 3 (:REWRITE ALISTP-OF-CDR))
 (6 1 (:REWRITE SET::SFIX-WHEN-EMPTYP))
 (5 5 (:REWRITE SET::IN-TAIL-OR-HEAD))
 (5 5 (:REWRITE SET::HEAD-WHEN-EMPTYP))
 (4 2 (:REWRITE SET::DELETE-IN))
 (2 2 (:REWRITE SET::HEAD-UNIQUE))
 )
(SYNDEF::SET[SEQUENCE[BOOL]]-FIX
 (1 1 (:TYPE-PRESCRIPTION SYNDEF::SET[SEQUENCE[BOOL]]-FIX))
 )
(SYNDEF::SET[SEQUENCE[BOOL]]-P-OF-SET[SEQUENCE[BOOL]]-FIX)
(SYNDEF::SET[SEQUENCE[BOOL]]-FIX-WHEN-SET[SEQUENCE[BOOL]]-P
 (13 13 (:TYPE-PRESCRIPTION SYNDEF::SET[SEQUENCE[BOOL]]-FIX))
 )
(SYNDEF::EMPTYP-SET[SEQUENCE[BOOL]]-FIX
 (4 2 (:REWRITE SYNDEF::SET[SEQUENCE[BOOL]]-FIX-WHEN-SET[SEQUENCE[BOOL]]-P))
 )
(SYNDEF::EMPTYP-OF-SET[SEQUENCE[BOOL]]-FIX
 (3 1 (:REWRITE SYNDEF::SET[SEQUENCE[BOOL]]-FIX-WHEN-SET[SEQUENCE[BOOL]]-P))
 )
(FTY::TMP-DEFFIXTYPE-IDEMPOTENT
 (24 24 (:TYPE-PRESCRIPTION SYNDEF::SET[SEQUENCE[BOOL]]-FIX))
 )
(SYNDEF::SET[SEQUENCE[BOOL]]-EQUIV$INLINE
 (4 4 (:TYPE-PRESCRIPTION SYNDEF::SET[SEQUENCE[BOOL]]-FIX))
 )
(SYNDEF::SET[SEQUENCE[BOOL]]-EQUIV-IS-AN-EQUIVALENCE)
(SYNDEF::SET[SEQUENCE[BOOL]]-EQUIV-IMPLIES-EQUAL-SET[SEQUENCE[BOOL]]-FIX-1)
(SYNDEF::SET[SEQUENCE[BOOL]]-FIX-UNDER-SET[SEQUENCE[BOOL]]-EQUIV)
(SYNDEF::EQUAL-OF-SET[SEQUENCE[BOOL]]-FIX-1-FORWARD-TO-SET[SEQUENCE[BOOL]]-EQUIV)
(SYNDEF::EQUAL-OF-SET[SEQUENCE[BOOL]]-FIX-2-FORWARD-TO-SET[SEQUENCE[BOOL]]-EQUIV)
(SYNDEF::SET[SEQUENCE[BOOL]]-EQUIV-OF-SET[SEQUENCE[BOOL]]-FIX-1-FORWARD)
(SYNDEF::SET[SEQUENCE[BOOL]]-EQUIV-OF-SET[SEQUENCE[BOOL]]-FIX-2-FORWARD)
(SYNDEF::SET[OPTION[BOOL]]-P)
(SYNDEF::BOOLEANP-OFSET[OPTION[BOOL]]-P
 (6 2 (:DEFINITION SYNDEF::SET[OPTION[BOOL]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::OPTION[BOOL]-P))
 (2 2 (:TYPE-PRESCRIPTION FAST-<<))
 )
(SYNDEF::SETP-WHEN-SET[OPTION[BOOL]]-P)
(SYNDEF::OPTION[BOOL]-P-OF-HEAD-WHEN-SET[OPTION[BOOL]]-P
 (25 1 (:REWRITE FAST-<<-IS-<<))
 (19 5 (:REWRITE <<-TRICHOTOMY))
 (17 3 (:REWRITE <<-ASYMMETRIC))
 (12 12 (:TYPE-PRESCRIPTION <<))
 (12 4 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (12 4 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
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 (10 10 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (10 10 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (8 8 (:TYPE-PRESCRIPTION SET::SFIX$INLINE))
 (5 5 (:REWRITE <<-TRANSITIVE))
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 (4 4 (:REWRITE DEFAULT-CDR))
 (4 1 (:REWRITE SET::SFIX-WHEN-EMPTYP))
 (3 1 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (3 1 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (3 1 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (2 2 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 )
(SYNDEF::SET[OPTION[BOOL]]-P-OF-TAIL-WHEN-SET[OPTION[BOOL]]-P
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 (51 9 (:REWRITE <<-ASYMMETRIC))
 (22 22 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (22 22 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
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 (21 7 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
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 (15 15 (:REWRITE <<-TRANSITIVE))
 (14 14 (:TYPE-PRESCRIPTION SET::SFIX$INLINE))
 (12 4 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (12 4 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (12 4 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
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 (4 4 (:TYPE-PRESCRIPTION SYNDEF::OPTION[BOOL]-P))
 (4 4 (:TYPE-PRESCRIPTION FAST-<<))
 (3 1 (:REWRITE SET::SFIX-WHEN-EMPTYP))
 (3 1 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
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 )
(SYNDEF::SET[OPTION[BOOL]]-P-OF-INSERT
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 (192 10 (:REWRITE SET::INSERT-WHEN-EMPTYP))
 (175 35 (:REWRITE SET::SFIX-WHEN-EMPTYP))
 (167 27 (:REWRITE SET::HEAD-WHEN-EMPTYP))
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 (76 76 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (76 76 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (69 23 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (69 23 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (54 54 (:TYPE-PRESCRIPTION SET::IN-TYPE))
 (48 12 (:REWRITE SYNDEF::SETP-WHEN-SET[STRING]-P))
 (45 15 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (45 15 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (45 15 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (36 18 (:REWRITE SET::IN-TAIL))
 (36 12 (:REWRITE SYNDEF::|SETP-WHEN-SET[simple-test]-P|))
 (36 12 (:REWRITE SYNDEF::SETP-WHEN-SET[SET[STRING]]-P))
 (36 12 (:REWRITE SYNDEF::SETP-WHEN-SET[SEQUENCE[BOOL]]-P))
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(SYNDEF::SET[OPTION[BOOL]]-P-OF-SET[OPTION[BOOL]]-FIX)
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(SYNDEF::SET[OPTION[BOOL]]-FIX-UNDER-SET[OPTION[BOOL]]-EQUIV)
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(SYNDEF::EQUAL-OF-SET[OPTION[BOOL]]-FIX-2-FORWARD-TO-SET[OPTION[BOOL]]-EQUIV)
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(SYNDEF::SET[OPTION[BOOL]]-EQUIV-OF-SET[OPTION[BOOL]]-FIX-2-FORWARD)
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(SYNDEF::|test-types-misc-set-FIX-UNDER-test-types-misc-set-EQUIV|)
(SYNDEF::|EQUAL-OF-test-types-misc-set-FIX-1-FORWARD-TO-test-types-misc-set-EQUIV|)
(SYNDEF::|EQUAL-OF-test-types-misc-set-FIX-2-FORWARD-TO-test-types-misc-set-EQUIV|)
(SYNDEF::|test-types-misc-set-EQUIV-OF-test-types-misc-set-FIX-1-FORWARD|)
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 )
(SYNDEF::CONS-SEQUENCE[SET[STRING]]-EQUIV-CONGRUENCE-ON-X-UNDER-SEQUENCE[SEQUENCE[SET[STRING]]]-EQUIV)
(SYNDEF::CONS-OF-SEQUENCE[SEQUENCE[SET[STRING]]]-FIX-Y-UNDER-SEQUENCE[SEQUENCE[SET[STRING]]]-EQUIV
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 )
(SYNDEF::CONS-SEQUENCE[SEQUENCE[SET[STRING]]]-EQUIV-CONGRUENCE-ON-Y-UNDER-SEQUENCE[SEQUENCE[SET[STRING]]]-EQUIV)
(SYNDEF::CONSP-OF-SEQUENCE[SEQUENCE[SET[STRING]]]-FIX
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 )
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 )
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 )
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 )
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 )
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 )
(SYNDEF::LIST-EQUIV-REFINES-SEQUENCE[SEQUENCE[SET[STRING]]]-EQUIV
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 )
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 )
(SYNDEF::SEQUENCE[SEQUENCE[SET[STRING]]]-EQUIV-IMPLIES-SEQUENCE[SEQUENCE[SET[STRING]]]-EQUIV-APPEND-1
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 )
(SYNDEF::SEQUENCE[SEQUENCE[SET[STRING]]]-EQUIV-IMPLIES-SEQUENCE[SEQUENCE[SET[STRING]]]-EQUIV-APPEND-2
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 )
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 )
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 )
(SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P)
(STD::DEFLIST-LOCAL-BOOLEANP-ELEMENT-THM)
(STD::DEFLIST-LOCAL-ELEMENTP-OF-NIL-THM)
(SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P-OF-CONS)
(SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P-OF-CDR-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P)
(SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P-WHEN-NOT-CONSP)
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(SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P-OF-LIST-FIX)
(SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P-OF-REV)
(SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX$INLINE)
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 )
(SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P
 (17 4 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P-OF-CDR-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
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 )
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 )
(FTY::TMP-DEFFIXTYPE-IDEMPOTENT
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 )
(SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-EQUIV$INLINE)
(SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-EQUIV-IS-AN-EQUIVALENCE)
(SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-EQUIV-IMPLIES-EQUAL-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-1)
(SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-UNDER-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-EQUIV)
(SYNDEF::EQUAL-OF-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-1-FORWARD-TO-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-EQUIV)
(SYNDEF::EQUAL-OF-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-2-FORWARD-TO-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-EQUIV)
(SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-EQUIV-OF-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-1-FORWARD)
(SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-EQUIV-OF-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-2-FORWARD)
(SYNDEF::CAR-OF-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-X-UNDER-SEQUENCE[SEQUENCE[SET[STRING]]]-EQUIV
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 )
(SYNDEF::CAR-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-EQUIV-CONGRUENCE-ON-X-UNDER-SEQUENCE[SEQUENCE[SET[STRING]]]-EQUIV)
(SYNDEF::CDR-OF-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-X-UNDER-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-EQUIV
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 )
(SYNDEF::CDR-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-EQUIV-CONGRUENCE-ON-X-UNDER-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-EQUIV)
(SYNDEF::CONS-OF-SEQUENCE[SEQUENCE[SET[STRING]]]-FIX-X-UNDER-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-EQUIV
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 )
(SYNDEF::CONS-SEQUENCE[SEQUENCE[SET[STRING]]]-EQUIV-CONGRUENCE-ON-X-UNDER-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-EQUIV)
(SYNDEF::CONS-OF-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-Y-UNDER-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-EQUIV
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 )
(SYNDEF::CONS-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-EQUIV-CONGRUENCE-ON-Y-UNDER-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-EQUIV)
(SYNDEF::CONSP-OF-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX
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 )
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 (12 2 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
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 )
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 (13 3 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
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 )
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 (23 4 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
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 (7 1 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SET[STRING]]]-FIX-WHEN-SEQUENCE[SEQUENCE[SET[STRING]]]-P))
 (4 1 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SET[STRING]]]-P-OF-CAR-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SEQUENCE[SET[STRING]]]-P))
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 )
(SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-OF-APPEND
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 (8 2 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SET[STRING]]]-FIX-WHEN-SEQUENCE[SEQUENCE[SET[STRING]]]-P))
 (8 2 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P-OF-CDR-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
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 )
(SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-OF-REPEAT
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 (10 4 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SET[STRING]]]-FIX-WHEN-SEQUENCE[SEQUENCE[SET[STRING]]]-P))
 (8 2 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P-WHEN-NOT-CONSP))
 (6 6 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SEQUENCE[SET[STRING]]]-P))
 (4 4 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-UNDER-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-EQUIV))
 )
(SYNDEF::LIST-EQUIV-REFINES-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-EQUIV
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 (72 8 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SET[STRING]]]-FIX-WHEN-SEQUENCE[SEQUENCE[SET[STRING]]]-P))
 (70 70 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (60 18 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P-OF-CDR-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (48 8 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SET[STRING]]]-P-OF-CAR-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (36 36 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P-WHEN-NOT-CONSP))
 (16 16 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SEQUENCE[SET[STRING]]]-P))
 (1 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 )
(SYNDEF::NTH-OF-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX
 (134 30 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SET[STRING]]]-FIX-WHEN-SEQUENCE[SEQUENCE[SET[STRING]]]-P))
 (110 23 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (73 73 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (60 60 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SEQUENCE[SET[STRING]]]-P))
 (44 11 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SET[STRING]]]-P-OF-CAR-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (39 39 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P-WHEN-NOT-CONSP))
 (32 8 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P-OF-CDR-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (4 4 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (4 4 (:LINEAR LISTPOS-UPPER-BOUND-STRONG-2))
 (4 4 (:LINEAR LEN-WHEN-PREFIXP))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-EQUIV-IMPLIES-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-EQUIV-APPEND-1
 (181 32 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (131 17 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SET[STRING]]]-FIX-WHEN-SEQUENCE[SEQUENCE[SET[STRING]]]-P))
 (126 126 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (80 17 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SET[STRING]]]-P-OF-CAR-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (79 22 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P-OF-CDR-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (64 64 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P-WHEN-NOT-CONSP))
 (34 34 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SEQUENCE[SET[STRING]]]-P))
 (1 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 )
(SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-EQUIV-IMPLIES-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-EQUIV-APPEND-2
 (267 46 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (206 26 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SET[STRING]]]-FIX-WHEN-SEQUENCE[SEQUENCE[SET[STRING]]]-P))
 (189 189 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (138 39 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P-OF-CDR-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (128 26 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SET[STRING]]]-P-OF-CAR-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (95 95 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P-WHEN-NOT-CONSP))
 (52 52 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SEQUENCE[SET[STRING]]]-P))
 (4 4 (:REWRITE SYNDEF::CONSP-OF-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX))
 )
(SYNTHETO::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-EQUIV-IMPLIES-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-EQUIV-NTHCDR-2
 (249 39 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (175 175 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (174 22 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SET[STRING]]]-FIX-WHEN-SEQUENCE[SEQUENCE[SET[STRING]]]-P))
 (117 33 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P-OF-CDR-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (108 22 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SET[STRING]]]-P-OF-CAR-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (88 88 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P-WHEN-NOT-CONSP))
 (44 44 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SEQUENCE[SET[STRING]]]-P))
 )
(SYNTHETO::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-EQUIV-IMPLIES-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-EQUIV-TAKE-2
 (326 38 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (222 28 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SET[STRING]]]-FIX-WHEN-SEQUENCE[SEQUENCE[SET[STRING]]]-P))
 (190 190 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (149 39 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P-OF-CDR-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (140 26 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SET[STRING]]]-P-OF-CAR-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (119 95 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P-WHEN-NOT-CONSP))
 (54 54 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SEQUENCE[SET[STRING]]]-P))
 (6 6 (:REWRITE-QUOTED-CONSTANT SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-UNDER-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-EQUIV))
 (1 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 )
(SYNDEF::|test-types-misc-seq-P|
 (184 22 (:REWRITE ALISTP-WHEN-ATOM))
 (120 8 (:REWRITE STRIP-CARS-WHEN-ATOM))
 (107 45 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (107 45 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (94 94 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (94 94 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (62 30 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (62 30 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (62 30 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (62 10 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 (59 23 (:REWRITE DEFAULT-CAR))
 (48 48 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 (48 24 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (24 24 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (24 8 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (20 10 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (18 18 (:REWRITE DEFAULT-CDR))
 (12 2 (:REWRITE CONSP-OF-STRIP-CARS))
 (10 10 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 )
(SYNDEF::|CONSP-WHEN-test-types-misc-seq-P|)
(SYNDEF::|TAG-WHEN-test-types-misc-seq-P|)
(SYNDEF::|test-types-misc-seq-P-WHEN-WRONG-TAG|)
(SYNDEF::|test-types-misc-seq-FIX$INLINE|)
(SYNDEF::|test-types-misc-seq-P-OF-test-types-misc-seq-FIX|
 (20 12 (:REWRITE SYNDEF::SEQUENCE[OPTION[INT]]-FIX-WHEN-SEQUENCE[OPTION[INT]]-P))
 (18 10 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (16 8 (:REWRITE SYNDEF::SEQUENCE[SET[INT]]-FIX-WHEN-SEQUENCE[SET[INT]]-P))
 (14 6 (:REWRITE SYNDEF::SEQUENCE[STRING]-FIX-WHEN-SEQUENCE[STRING]-P))
 (12 4 (:REWRITE SYNDEF::SEQUENCE[CHARACTER]-FIX-WHEN-SEQUENCE[CHARACTER]-P))
 (8 8 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[STRING]-P))
 (8 8 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SET[INT]]-P))
 (8 8 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (8 8 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[OPTION[INT]]-P))
 (8 8 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[CHARACTER]-P))
 )
(SYNDEF::|test-types-misc-seq-FIX-WHEN-test-types-misc-seq-P|
 (1 1 (:DEFINITION STRIP-CARS))
 (1 1 (:DEFINITION ALISTP))
 )
(SYNDEF::|test-types-misc-seq-FIX$INLINE|
 (1 1 (:DEFINITION STRIP-CARS))
 (1 1 (:DEFINITION ALISTP))
 )
(FTY::TMP-DEFFIXTYPE-IDEMPOTENT)
(SYNDEF::|test-types-misc-seq-EQUIV$INLINE|)
(SYNDEF::|test-types-misc-seq-EQUIV-IS-AN-EQUIVALENCE|)
(SYNDEF::|test-types-misc-seq-EQUIV-IMPLIES-EQUAL-test-types-misc-seq-FIX-1|)
(SYNDEF::|test-types-misc-seq-FIX-UNDER-test-types-misc-seq-EQUIV|)
(SYNDEF::|EQUAL-OF-test-types-misc-seq-FIX-1-FORWARD-TO-test-types-misc-seq-EQUIV|)
(SYNDEF::|EQUAL-OF-test-types-misc-seq-FIX-2-FORWARD-TO-test-types-misc-seq-EQUIV|)
(SYNDEF::|test-types-misc-seq-EQUIV-OF-test-types-misc-seq-FIX-1-FORWARD|)
(SYNDEF::|test-types-misc-seq-EQUIV-OF-test-types-misc-seq-FIX-2-FORWARD|)
(SYNDEF::|TAG-OF-test-types-misc-seq-FIX|)
(SYNDEF::|test-types-misc-seq->my_seq3$INLINE|
 (4 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 (1 1 (:DEFINITION STRIP-CARS))
 )
(SYNDEF::|SEQUENCE[CHARACTER]-P-OF-test-types-misc-seq->my_seq3|)
(SYNDEF::|test-types-misc-seq->my_seq3$INLINE-OF-test-types-misc-seq-FIX-X|
 (9 3 (:REWRITE SYNDEF::|test-types-misc-seq-FIX-WHEN-test-types-misc-seq-P|))
 (6 6 (:TYPE-PRESCRIPTION SYNDEF::|test-types-misc-seq-P|))
 (3 1 (:REWRITE SYNDEF::SEQUENCE[STRING]-FIX-WHEN-SEQUENCE[STRING]-P))
 (3 1 (:REWRITE SYNDEF::SEQUENCE[SET[INT]]-FIX-WHEN-SEQUENCE[SET[INT]]-P))
 (3 1 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (3 1 (:REWRITE SYNDEF::SEQUENCE[OPTION[INT]]-FIX-WHEN-SEQUENCE[OPTION[INT]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[STRING]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SET[INT]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[OPTION[INT]]-P))
 )
(SYNDEF::|test-types-misc-seq->my_seq3$INLINE-test-types-misc-seq-EQUIV-CONGRUENCE-ON-X|)
(SYNDEF::|test-types-misc-seq->my_seq4$INLINE|
 (4 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 )
(SYNDEF::|SEQUENCE[STRING]-P-OF-test-types-misc-seq->my_seq4|)
(SYNDEF::|test-types-misc-seq->my_seq4$INLINE-OF-test-types-misc-seq-FIX-X|
 (9 3 (:REWRITE SYNDEF::|test-types-misc-seq-FIX-WHEN-test-types-misc-seq-P|))
 (6 6 (:TYPE-PRESCRIPTION SYNDEF::|test-types-misc-seq-P|))
 (3 1 (:REWRITE SYNDEF::SEQUENCE[SET[INT]]-FIX-WHEN-SEQUENCE[SET[INT]]-P))
 (3 1 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (3 1 (:REWRITE SYNDEF::SEQUENCE[OPTION[INT]]-FIX-WHEN-SEQUENCE[OPTION[INT]]-P))
 (3 1 (:REWRITE SYNDEF::SEQUENCE[CHARACTER]-FIX-WHEN-SEQUENCE[CHARACTER]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SET[INT]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[OPTION[INT]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[CHARACTER]-P))
 )
(SYNDEF::|test-types-misc-seq->my_seq4$INLINE-test-types-misc-seq-EQUIV-CONGRUENCE-ON-X|)
(SYNDEF::|test-types-misc-seq->my_seq5$INLINE|
 (4 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 )
(SYNDEF::|SEQUENCE[SET[INT]]-P-OF-test-types-misc-seq->my_seq5|)
(SYNDEF::|test-types-misc-seq->my_seq5$INLINE-OF-test-types-misc-seq-FIX-X|
 (9 3 (:REWRITE SYNDEF::|test-types-misc-seq-FIX-WHEN-test-types-misc-seq-P|))
 (6 6 (:TYPE-PRESCRIPTION SYNDEF::|test-types-misc-seq-P|))
 (3 1 (:REWRITE SYNDEF::SEQUENCE[STRING]-FIX-WHEN-SEQUENCE[STRING]-P))
 (3 1 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (3 1 (:REWRITE SYNDEF::SEQUENCE[OPTION[INT]]-FIX-WHEN-SEQUENCE[OPTION[INT]]-P))
 (3 1 (:REWRITE SYNDEF::SEQUENCE[CHARACTER]-FIX-WHEN-SEQUENCE[CHARACTER]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[STRING]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[OPTION[INT]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[CHARACTER]-P))
 )
(SYNDEF::|test-types-misc-seq->my_seq5$INLINE-test-types-misc-seq-EQUIV-CONGRUENCE-ON-X|)
(SYNDEF::|test-types-misc-seq->my_seq6$INLINE|
 (4 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 )
(SYNDEF::|SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P-OF-test-types-misc-seq->my_seq6|)
(SYNDEF::|test-types-misc-seq->my_seq6$INLINE-OF-test-types-misc-seq-FIX-X|
 (9 3 (:REWRITE SYNDEF::|test-types-misc-seq-FIX-WHEN-test-types-misc-seq-P|))
 (6 6 (:TYPE-PRESCRIPTION SYNDEF::|test-types-misc-seq-P|))
 (3 1 (:REWRITE SYNDEF::SEQUENCE[STRING]-FIX-WHEN-SEQUENCE[STRING]-P))
 (3 1 (:REWRITE SYNDEF::SEQUENCE[SET[INT]]-FIX-WHEN-SEQUENCE[SET[INT]]-P))
 (3 1 (:REWRITE SYNDEF::SEQUENCE[OPTION[INT]]-FIX-WHEN-SEQUENCE[OPTION[INT]]-P))
 (3 1 (:REWRITE SYNDEF::SEQUENCE[CHARACTER]-FIX-WHEN-SEQUENCE[CHARACTER]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[STRING]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SET[INT]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[OPTION[INT]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[CHARACTER]-P))
 )
(SYNDEF::|test-types-misc-seq->my_seq6$INLINE-test-types-misc-seq-EQUIV-CONGRUENCE-ON-X|)
(SYNDEF::|test-types-misc-seq->my_seq7$INLINE|
 (4 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 )
(SYNDEF::|SEQUENCE[OPTION[INT]]-P-OF-test-types-misc-seq->my_seq7|)
(SYNDEF::|test-types-misc-seq->my_seq7$INLINE-OF-test-types-misc-seq-FIX-X|
 (9 3 (:REWRITE SYNDEF::|test-types-misc-seq-FIX-WHEN-test-types-misc-seq-P|))
 (6 6 (:TYPE-PRESCRIPTION SYNDEF::|test-types-misc-seq-P|))
 (3 1 (:REWRITE SYNDEF::SEQUENCE[STRING]-FIX-WHEN-SEQUENCE[STRING]-P))
 (3 1 (:REWRITE SYNDEF::SEQUENCE[SET[INT]]-FIX-WHEN-SEQUENCE[SET[INT]]-P))
 (3 1 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (3 1 (:REWRITE SYNDEF::SEQUENCE[CHARACTER]-FIX-WHEN-SEQUENCE[CHARACTER]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[STRING]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SET[INT]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[CHARACTER]-P))
 )
(SYNDEF::|test-types-misc-seq->my_seq7$INLINE-test-types-misc-seq-EQUIV-CONGRUENCE-ON-X|)
(SYNDEF::|test-types-misc-seq|)
(SYNDEF::|test-types-misc-seq-P-OF-test-types-misc-seq|
 (17 11 (:REWRITE SYNDEF::SEQUENCE[OPTION[INT]]-FIX-WHEN-SEQUENCE[OPTION[INT]]-P))
 (15 9 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (13 7 (:REWRITE SYNDEF::SEQUENCE[SET[INT]]-FIX-WHEN-SEQUENCE[SET[INT]]-P))
 (11 5 (:REWRITE SYNDEF::SEQUENCE[STRING]-FIX-WHEN-SEQUENCE[STRING]-P))
 (10 4 (:REWRITE SYNDEF::SEQUENCE[CHARACTER]-FIX-WHEN-SEQUENCE[CHARACTER]-P))
 )
(SYNDEF::|test-types-misc-seq->my_seq3-OF-test-types-misc-seq|)
(SYNDEF::|test-types-misc-seq->my_seq4-OF-test-types-misc-seq|)
(SYNDEF::|test-types-misc-seq->my_seq5-OF-test-types-misc-seq|)
(SYNDEF::|test-types-misc-seq->my_seq6-OF-test-types-misc-seq|)
(SYNDEF::|test-types-misc-seq->my_seq7-OF-test-types-misc-seq|)
(SYNDEF::|test-types-misc-seq-OF-FIELDS|
 (3 1 (:REWRITE SYNDEF::|test-types-misc-seq-FIX-WHEN-test-types-misc-seq-P|))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|test-types-misc-seq-P|))
 )
(SYNDEF::|test-types-misc-seq-FIX-WHEN-test-types-misc-seq|
 (3 1 (:REWRITE SYNDEF::|test-types-misc-seq-FIX-WHEN-test-types-misc-seq-P|))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|test-types-misc-seq-P|))
 )
(SYNDEF::|EQUAL-OF-test-types-misc-seq|)
(SYNDEF::|test-types-misc-seq-OF-SEQUENCE[CHARACTER]-FIX-my_seq3|
 (4 2 (:REWRITE SYNDEF::SEQUENCE[STRING]-FIX-WHEN-SEQUENCE[STRING]-P))
 (4 2 (:REWRITE SYNDEF::SEQUENCE[SET[INT]]-FIX-WHEN-SEQUENCE[SET[INT]]-P))
 (4 2 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (4 2 (:REWRITE SYNDEF::SEQUENCE[OPTION[INT]]-FIX-WHEN-SEQUENCE[OPTION[INT]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[STRING]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SET[INT]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[OPTION[INT]]-P))
 )
(SYNDEF::|test-types-misc-seq-SEQUENCE[CHARACTER]-EQUIV-CONGRUENCE-ON-my_seq3|)
(SYNDEF::|test-types-misc-seq-OF-SEQUENCE[STRING]-FIX-my_seq4|
 (4 2 (:REWRITE SYNDEF::SEQUENCE[SET[INT]]-FIX-WHEN-SEQUENCE[SET[INT]]-P))
 (4 2 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (4 2 (:REWRITE SYNDEF::SEQUENCE[OPTION[INT]]-FIX-WHEN-SEQUENCE[OPTION[INT]]-P))
 (4 2 (:REWRITE SYNDEF::SEQUENCE[CHARACTER]-FIX-WHEN-SEQUENCE[CHARACTER]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SET[INT]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[OPTION[INT]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[CHARACTER]-P))
 )
(SYNDEF::|test-types-misc-seq-SEQUENCE[STRING]-EQUIV-CONGRUENCE-ON-my_seq4|)
(SYNDEF::|test-types-misc-seq-OF-SEQUENCE[SET[INT]]-FIX-my_seq5|
 (4 2 (:REWRITE SYNDEF::SEQUENCE[STRING]-FIX-WHEN-SEQUENCE[STRING]-P))
 (4 2 (:REWRITE SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-WHEN-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (4 2 (:REWRITE SYNDEF::SEQUENCE[OPTION[INT]]-FIX-WHEN-SEQUENCE[OPTION[INT]]-P))
 (4 2 (:REWRITE SYNDEF::SEQUENCE[CHARACTER]-FIX-WHEN-SEQUENCE[CHARACTER]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[STRING]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[OPTION[INT]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[CHARACTER]-P))
 )
(SYNDEF::|test-types-misc-seq-SEQUENCE[SET[INT]]-EQUIV-CONGRUENCE-ON-my_seq5|)
(SYNDEF::|test-types-misc-seq-OF-SEQUENCE[SEQUENCE[SEQUENCE[SET[STRING]]]]-FIX-my_seq6|
 (4 2 (:REWRITE SYNDEF::SEQUENCE[STRING]-FIX-WHEN-SEQUENCE[STRING]-P))
 (4 2 (:REWRITE SYNDEF::SEQUENCE[SET[INT]]-FIX-WHEN-SEQUENCE[SET[INT]]-P))
 (4 2 (:REWRITE SYNDEF::SEQUENCE[OPTION[INT]]-FIX-WHEN-SEQUENCE[OPTION[INT]]-P))
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(SYNDEF::|CHARACTERP-OF-HEAD-KEY-WHEN-MAP[CHARACTER->simple-test]-P|
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 )
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 )
(FTY::TMP-DEFFIXTYPE-IDEMPOTENT
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 )
(SYNDEF::SEQUENCE[OPTION[BOOL]]-EQUIV$INLINE)
(SYNDEF::SEQUENCE[OPTION[BOOL]]-EQUIV-IS-AN-EQUIVALENCE)
(SYNDEF::SEQUENCE[OPTION[BOOL]]-EQUIV-IMPLIES-EQUAL-SEQUENCE[OPTION[BOOL]]-FIX-1)
(SYNDEF::SEQUENCE[OPTION[BOOL]]-FIX-UNDER-SEQUENCE[OPTION[BOOL]]-EQUIV)
(SYNDEF::EQUAL-OF-SEQUENCE[OPTION[BOOL]]-FIX-1-FORWARD-TO-SEQUENCE[OPTION[BOOL]]-EQUIV)
(SYNDEF::EQUAL-OF-SEQUENCE[OPTION[BOOL]]-FIX-2-FORWARD-TO-SEQUENCE[OPTION[BOOL]]-EQUIV)
(SYNDEF::SEQUENCE[OPTION[BOOL]]-EQUIV-OF-SEQUENCE[OPTION[BOOL]]-FIX-1-FORWARD)
(SYNDEF::SEQUENCE[OPTION[BOOL]]-EQUIV-OF-SEQUENCE[OPTION[BOOL]]-FIX-2-FORWARD)
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(SYNDEF::CAR-SEQUENCE[OPTION[BOOL]]-EQUIV-CONGRUENCE-ON-X-UNDER-OPTION[BOOL]-EQUIV)
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(SYNDEF::CDR-SEQUENCE[OPTION[BOOL]]-EQUIV-CONGRUENCE-ON-X-UNDER-SEQUENCE[OPTION[BOOL]]-EQUIV)
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(SYNDEF::CONS-OPTION[BOOL]-EQUIV-CONGRUENCE-ON-X-UNDER-SEQUENCE[OPTION[BOOL]]-EQUIV)
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(SYNDEF::CONS-SEQUENCE[OPTION[BOOL]]-EQUIV-CONGRUENCE-ON-Y-UNDER-SEQUENCE[OPTION[BOOL]]-EQUIV)
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(SYNDEF::|MAP[SET[simple-test]->simple-test]-P|)
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(SYNDEF::|MAPP-WHEN-MAP[SET[simple-test]->simple-test]-P|)
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(SYNDEF::|SET[simple-test]-P-OF-HEAD-KEY-WHEN-MAP[SET[simple-test]->simple-test]-P|
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 )
(SYNDEF::|simple-test-P-OF-HEAD-VAL-WHEN-MAP[SET[simple-test]->simple-test]-P|
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 )
(SYNDEF::|MAP[SET[simple-test]->simple-test]-P-OF-UPDATE|
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 )
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(SYNDEF::MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-P-OF-DELETE
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(SYNDEF::MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-FIX
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(SYNDEF::MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-P-OF-MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-FIX)
(SYNDEF::MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-FIX-WHEN-MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-P
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(SYNDEF::MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-EQUIV$INLINE
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(SYNDEF::MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-EQUIV-IS-AN-EQUIVALENCE)
(SYNDEF::MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-EQUIV-IMPLIES-EQUAL-MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-FIX-1)
(SYNDEF::MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-FIX-UNDER-MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-EQUIV)
(SYNDEF::EQUAL-OF-MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-FIX-1-FORWARD-TO-MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-EQUIV)
(SYNDEF::EQUAL-OF-MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-FIX-2-FORWARD-TO-MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-EQUIV)
(SYNDEF::MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-EQUIV-OF-MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-FIX-1-FORWARD)
(SYNDEF::MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-EQUIV-OF-MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-FIX-2-FORWARD)
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(SYNDEF::MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]-P-OF-MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]-FIX)
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(SYNDEF::MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]-EQUIV-IS-AN-EQUIVALENCE)
(SYNDEF::MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]-EQUIV-IMPLIES-EQUAL-MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]-FIX-1)
(SYNDEF::MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]-FIX-UNDER-MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]-EQUIV)
(SYNDEF::EQUAL-OF-MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]-FIX-1-FORWARD-TO-MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]-EQUIV)
(SYNDEF::EQUAL-OF-MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]-FIX-2-FORWARD-TO-MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]-EQUIV)
(SYNDEF::MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]-EQUIV-OF-MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]-FIX-1-FORWARD)
(SYNDEF::MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]-EQUIV-OF-MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]-FIX-2-FORWARD)
(SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P)
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(SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P-OF-UPDATE
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 (1216 943 (:REWRITE DEFAULT-CAR))
 (937 937 (:TYPE-PRESCRIPTION ALISTP))
 (816 689 (:REWRITE DEFAULT-CDR))
 (815 343 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (815 343 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (718 718 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (718 718 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (604 302 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (375 129 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (375 129 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (375 129 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (356 178 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (302 302 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (289 289 (:TYPE-PRESCRIPTION OMAP::EMPTYP))
 (234 82 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (191 71 (:REWRITE OMAP::MFIX-WHEN-EMPTYP))
 (178 178 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (110 38 (:REWRITE OMAP::TAIL-WHEN-EMPTYP))
 (75 27 (:REWRITE OMAP::UPDATE-WHEN-EMPTYP))
 (47 24 (:REWRITE OMAP::HEAD-WHEN-EMPTYP-CHEAP))
 (39 12 (:REWRITE SYNDEF::MAPP-WHEN-MAP[CHARACTER->INT]-P))
 (36 12 (:REWRITE OMAP::MAPP-WHEN-NOT-EMPTYP))
 (30 12 (:REWRITE SYNDEF::|MAPP-WHEN-MAP[simple-test->INT]-P|))
 (30 12 (:REWRITE SYNDEF::MAPP-WHEN-MAP[STRING->STRING]-P))
 (30 12 (:REWRITE SYNDEF::MAPP-WHEN-MAP[STRING->CHARACTER]-P))
 (30 12 (:REWRITE SYNDEF::|MAPP-WHEN-MAP[SET[simple-test]->simple-test]-P|))
 (30 12 (:REWRITE SYNDEF::MAPP-WHEN-MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]-P))
 (30 12 (:REWRITE SYNDEF::MAPP-WHEN-MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-P))
 (30 12 (:REWRITE SYNDEF::MAPP-WHEN-MAP[SEQUENCE[INT]->SET[STRING]]-P))
 (30 12 (:REWRITE SYNDEF::MAPP-WHEN-MAP[OPTION[INT]->OPTION[STRING]]-P))
 (30 12 (:REWRITE SYNDEF::MAPP-WHEN-MAP[OPTION[BOOL]->OPTION[BOOL]]-P))
 (30 12 (:REWRITE SYNDEF::MAPP-WHEN-MAP[INT->BOOL]-P))
 (30 12 (:REWRITE SYNDEF::|MAPP-WHEN-MAP[CHARACTER->simple-test]-P|))
 (30 12 (:REWRITE SYNDEF::MAPP-WHEN-MAP[BOOL->STRING]-P))
 (18 18 (:TYPE-PRESCRIPTION SYNDEF::|MAP[simple-test->INT]-P|))
 (18 18 (:TYPE-PRESCRIPTION SYNDEF::MAP[STRING->STRING]-P))
 (18 18 (:TYPE-PRESCRIPTION SYNDEF::MAP[STRING->CHARACTER]-P))
 (18 18 (:TYPE-PRESCRIPTION SYNDEF::|MAP[SET[simple-test]->simple-test]-P|))
 (18 18 (:TYPE-PRESCRIPTION SYNDEF::MAP[SEQUENCE[INT]->SET[STRING]]-P))
 (18 18 (:TYPE-PRESCRIPTION SYNDEF::MAP[OPTION[INT]->OPTION[STRING]]-P))
 (18 18 (:TYPE-PRESCRIPTION SYNDEF::MAP[OPTION[BOOL]->OPTION[BOOL]]-P))
 (18 18 (:TYPE-PRESCRIPTION SYNDEF::MAP[INT->BOOL]-P))
 (18 18 (:TYPE-PRESCRIPTION SYNDEF::|MAP[CHARACTER->simple-test]-P|))
 (18 18 (:TYPE-PRESCRIPTION SYNDEF::MAP[CHARACTER->INT]-P))
 (18 18 (:TYPE-PRESCRIPTION SYNDEF::MAP[BOOL->STRING]-P))
 (9 9 (:REWRITE SYNDEF::MAP[CHARACTER->INT]-P-WHEN-IN-SET[MAP[CHARACTER->INT]]-P-BINDS-FREE-X))
 (1 1 (:REWRITE-QUOTED-CONSTANT TRUE-LIST-LIST-FIX-UNDER-TRUE-LIST-LIST-EQUIV))
 )
(SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P-OF-UPDATE*
 (288 12 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (234 9 (:DEFINITION ALISTP))
 (117 18 (:REWRITE ALISTP-WHEN-ATOM))
 (63 12 (:REWRITE ALISTP-OF-CDR))
 (60 60 (:TYPE-PRESCRIPTION ALISTP))
 (60 24 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (60 24 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (57 15 (:REWRITE <<-TRICHOTOMY))
 (54 54 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (54 54 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (51 9 (:REWRITE <<-ASYMMETRIC))
 (36 36 (:REWRITE DEFAULT-CAR))
 (36 18 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (27 27 (:REWRITE DEFAULT-CDR))
 (27 9 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (27 9 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (27 9 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (24 24 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 (24 12 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (18 18 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (15 15 (:REWRITE <<-TRANSITIVE))
 (12 12 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (9 3 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (6 6 (:TYPE-PRESCRIPTION OMAP::MFIX))
 (3 1 (:REWRITE OMAP::MFIX-WHEN-EMPTYP))
 (2 2 (:TYPE-PRESCRIPTION OMAP::UPDATE*))
 (1 1 (:REWRITE OMAP::MAPP-NON-NIL-IMPLIES-NOT-EMPTYP))
 )
(SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P-OF-DELETE
 (16 4 (:DEFINITION SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P))
 (4 4 (:TYPE-PRESCRIPTION FAST-<<))
 )
(SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P-OF-DELETE*
 (192 8 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (156 6 (:DEFINITION ALISTP))
 (78 12 (:REWRITE ALISTP-WHEN-ATOM))
 (42 8 (:REWRITE ALISTP-OF-CDR))
 (40 40 (:TYPE-PRESCRIPTION ALISTP))
 (40 16 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (40 16 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (38 10 (:REWRITE <<-TRICHOTOMY))
 (36 36 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (36 36 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (34 6 (:REWRITE <<-ASYMMETRIC))
 (24 24 (:REWRITE DEFAULT-CAR))
 (24 12 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (18 18 (:REWRITE DEFAULT-CDR))
 (18 6 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (18 6 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (18 6 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (16 16 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 (16 8 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (12 12 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (10 10 (:REWRITE <<-TRANSITIVE))
 (8 8 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (6 6 (:TYPE-PRESCRIPTION OMAP::MFIX))
 (6 2 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (3 1 (:REWRITE OMAP::MFIX-WHEN-EMPTYP))
 (2 2 (:TYPE-PRESCRIPTION OMAP::EMPTYP))
 )
(SYNDEF::MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-P-WHEN-ASSOC-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P-BINDS-FREE-X
 (4 1 (:DEFINITION SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P))
 (1 1 (:TYPE-PRESCRIPTION SYNDEF::MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]-P))
 (1 1 (:TYPE-PRESCRIPTION FAST-<<))
 )
(SYNDEF::MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-P-OF-CAR-OF-ASSOC-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P
 (20 4 (:DEFINITION SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P))
 (7 7 (:REWRITE SYNDEF::MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-P-WHEN-ASSOC-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P-BINDS-FREE-X))
 (4 4 (:TYPE-PRESCRIPTION SYNDEF::MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]-P))
 (4 4 (:TYPE-PRESCRIPTION FAST-<<))
 )
(SYNDEF::MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]-P-OF-CDR-OF-ASSOC-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P
 (20 4 (:DEFINITION SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P))
 (4 4 (:TYPE-PRESCRIPTION SYNDEF::MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-P))
 (4 4 (:TYPE-PRESCRIPTION FAST-<<))
 (4 4 (:REWRITE SYNDEF::MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-P-WHEN-ASSOC-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P-BINDS-FREE-X))
 )
(SYNDEF::MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]-P-OF-LOOKUP-WHEN-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P
 (5 1 (:DEFINITION SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P))
 (1 1 (:TYPE-PRESCRIPTION SYNDEF::MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-P))
 (1 1 (:TYPE-PRESCRIPTION FAST-<<))
 (1 1 (:REWRITE SYNDEF::MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-P-WHEN-ASSOC-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P-BINDS-FREE-X))
 )
(SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-FIX
 (1 1 (:TYPE-PRESCRIPTION SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-FIX))
 )
(SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P-OF-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-FIX)
(SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-FIX-WHEN-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P
 (16 16 (:TYPE-PRESCRIPTION SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-FIX))
 )
(SYNDEF::EMPTYP-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-FIX
 (4 2 (:REWRITE SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-FIX-WHEN-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P))
 )
(SYNDEF::EMPTYP-OF-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-FIX-TO-NOT-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-OR-EMPTYP
 (8 8 (:TYPE-PRESCRIPTION SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-FIX))
 (3 1 (:REWRITE SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-FIX-WHEN-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P))
 )
(FTY::TMP-DEFFIXTYPE-IDEMPOTENT
 (24 24 (:TYPE-PRESCRIPTION SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-FIX))
 )
(SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-EQUIV$INLINE
 (4 4 (:TYPE-PRESCRIPTION SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-FIX))
 )
(SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-EQUIV-IS-AN-EQUIVALENCE)
(SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-EQUIV-IMPLIES-EQUAL-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-FIX-1)
(SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-FIX-UNDER-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-EQUIV)
(SYNDEF::EQUAL-OF-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-FIX-1-FORWARD-TO-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-EQUIV)
(SYNDEF::EQUAL-OF-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-FIX-2-FORWARD-TO-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-EQUIV)
(SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-EQUIV-OF-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-FIX-1-FORWARD)
(SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-EQUIV-OF-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-FIX-2-FORWARD)
(SYNDEF::|test-types-misc-map-P|
 (184 22 (:REWRITE ALISTP-WHEN-ATOM))
 (120 8 (:REWRITE STRIP-CARS-WHEN-ATOM))
 (107 45 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (107 45 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (94 94 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (94 94 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (62 30 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (62 30 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (62 30 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (62 10 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 (59 23 (:REWRITE DEFAULT-CAR))
 (48 48 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 (48 24 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (24 24 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (24 8 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (20 10 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (18 18 (:REWRITE DEFAULT-CDR))
 (12 2 (:REWRITE CONSP-OF-STRIP-CARS))
 (10 10 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 )
(SYNDEF::|CONSP-WHEN-test-types-misc-map-P|)
(SYNDEF::|TAG-WHEN-test-types-misc-map-P|)
(SYNDEF::|test-types-misc-map-P-WHEN-WRONG-TAG|)
(SYNDEF::|test-types-misc-map-FIX$INLINE|
 (6 6 (:TYPE-PRESCRIPTION SYNDEF::MAP[STRING->STRING]-FIX))
 (6 6 (:TYPE-PRESCRIPTION SYNDEF::MAP[STRING->CHARACTER]-FIX))
 (6 6 (:TYPE-PRESCRIPTION SYNDEF::|MAP[SET[simple-test]->simple-test]-FIX|))
 (6 6 (:TYPE-PRESCRIPTION SYNDEF::MAP[OPTION[INT]->OPTION[STRING]]-FIX))
 (6 6 (:TYPE-PRESCRIPTION SYNDEF::MAP[OPTION[BOOL]->OPTION[BOOL]]-FIX))
 (6 6 (:TYPE-PRESCRIPTION SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-FIX))
 (6 6 (:TYPE-PRESCRIPTION SYNDEF::MAP[INT->BOOL]-FIX))
 )
(SYNDEF::|test-types-misc-map-P-OF-test-types-misc-map-FIX|
 (24 16 (:REWRITE SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-FIX-WHEN-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P))
 (22 14 (:REWRITE SYNDEF::MAP[OPTION[BOOL]->OPTION[BOOL]]-FIX-WHEN-MAP[OPTION[BOOL]->OPTION[BOOL]]-P))
 (20 12 (:REWRITE SYNDEF::MAP[OPTION[INT]->OPTION[STRING]]-FIX-WHEN-MAP[OPTION[INT]->OPTION[STRING]]-P))
 (18 10 (:REWRITE SYNDEF::|MAP[SET[simple-test]->simple-test]-FIX-WHEN-MAP[SET[simple-test]->simple-test]-P|))
 (16 8 (:REWRITE SYNDEF::MAP[STRING->CHARACTER]-FIX-WHEN-MAP[STRING->CHARACTER]-P))
 (14 6 (:REWRITE SYNDEF::MAP[STRING->STRING]-FIX-WHEN-MAP[STRING->STRING]-P))
 (12 4 (:REWRITE SYNDEF::MAP[INT->BOOL]-FIX-WHEN-MAP[INT->BOOL]-P))
 (8 8 (:TYPE-PRESCRIPTION SYNDEF::MAP[STRING->STRING]-P))
 (8 8 (:TYPE-PRESCRIPTION SYNDEF::MAP[STRING->CHARACTER]-P))
 (8 8 (:TYPE-PRESCRIPTION SYNDEF::|MAP[SET[simple-test]->simple-test]-P|))
 (8 8 (:TYPE-PRESCRIPTION SYNDEF::MAP[OPTION[INT]->OPTION[STRING]]-P))
 (8 8 (:TYPE-PRESCRIPTION SYNDEF::MAP[OPTION[BOOL]->OPTION[BOOL]]-P))
 (8 8 (:TYPE-PRESCRIPTION SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P))
 (8 8 (:TYPE-PRESCRIPTION SYNDEF::MAP[INT->BOOL]-P))
 (1 1 (:TYPE-PRESCRIPTION SYNDEF::MAP[STRING->STRING]-FIX))
 (1 1 (:TYPE-PRESCRIPTION SYNDEF::MAP[STRING->CHARACTER]-FIX))
 (1 1 (:TYPE-PRESCRIPTION SYNDEF::|MAP[SET[simple-test]->simple-test]-FIX|))
 (1 1 (:TYPE-PRESCRIPTION SYNDEF::MAP[OPTION[INT]->OPTION[STRING]]-FIX))
 (1 1 (:TYPE-PRESCRIPTION SYNDEF::MAP[OPTION[BOOL]->OPTION[BOOL]]-FIX))
 (1 1 (:TYPE-PRESCRIPTION SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-FIX))
 (1 1 (:TYPE-PRESCRIPTION SYNDEF::MAP[INT->BOOL]-FIX))
 )
(SYNDEF::|test-types-misc-map-FIX-WHEN-test-types-misc-map-P|
 (1 1 (:DEFINITION STRIP-CARS))
 (1 1 (:DEFINITION ALISTP))
 )
(SYNDEF::|test-types-misc-map-FIX$INLINE|
 (16 16 (:TYPE-PRESCRIPTION SYNDEF::MAP[STRING->STRING]-FIX))
 (16 16 (:TYPE-PRESCRIPTION SYNDEF::MAP[STRING->CHARACTER]-FIX))
 (16 16 (:TYPE-PRESCRIPTION SYNDEF::|MAP[SET[simple-test]->simple-test]-FIX|))
 (16 16 (:TYPE-PRESCRIPTION SYNDEF::MAP[OPTION[INT]->OPTION[STRING]]-FIX))
 (16 16 (:TYPE-PRESCRIPTION SYNDEF::MAP[INT->BOOL]-FIX))
 (6 6 (:TYPE-PRESCRIPTION SYNDEF::MAP[OPTION[BOOL]->OPTION[BOOL]]-FIX))
 (6 6 (:TYPE-PRESCRIPTION SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-FIX))
 (1 1 (:DEFINITION STRIP-CARS))
 (1 1 (:DEFINITION ALISTP))
 )
(FTY::TMP-DEFFIXTYPE-IDEMPOTENT)
(SYNDEF::|test-types-misc-map-EQUIV$INLINE|)
(SYNDEF::|test-types-misc-map-EQUIV-IS-AN-EQUIVALENCE|)
(SYNDEF::|test-types-misc-map-EQUIV-IMPLIES-EQUAL-test-types-misc-map-FIX-1|)
(SYNDEF::|test-types-misc-map-FIX-UNDER-test-types-misc-map-EQUIV|)
(SYNDEF::|EQUAL-OF-test-types-misc-map-FIX-1-FORWARD-TO-test-types-misc-map-EQUIV|)
(SYNDEF::|EQUAL-OF-test-types-misc-map-FIX-2-FORWARD-TO-test-types-misc-map-EQUIV|)
(SYNDEF::|test-types-misc-map-EQUIV-OF-test-types-misc-map-FIX-1-FORWARD|)
(SYNDEF::|test-types-misc-map-EQUIV-OF-test-types-misc-map-FIX-2-FORWARD|)
(SYNDEF::|TAG-OF-test-types-misc-map-FIX|)
(SYNDEF::|test-types-misc-map->my_map_3$INLINE|
 (11 11 (:TYPE-PRESCRIPTION SYNDEF::MAP[INT->BOOL]-FIX))
 (4 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 (1 1 (:DEFINITION STRIP-CARS))
 )
(SYNDEF::|MAP[INT->BOOL]-P-OF-test-types-misc-map->my_map_3|)
(SYNDEF::|test-types-misc-map->my_map_3$INLINE-OF-test-types-misc-map-FIX-X|
 (69 46 (:TYPE-PRESCRIPTION SYNDEF::MAP[INT->BOOL]-FIX))
 (23 23 (:TYPE-PRESCRIPTION SYNDEF::|test-types-misc-map-FIX$INLINE|))
 (9 3 (:REWRITE SYNDEF::|test-types-misc-map-FIX-WHEN-test-types-misc-map-P|))
 (6 6 (:TYPE-PRESCRIPTION SYNDEF::|test-types-misc-map-P|))
 (3 1 (:REWRITE SYNDEF::MAP[STRING->STRING]-FIX-WHEN-MAP[STRING->STRING]-P))
 (3 1 (:REWRITE SYNDEF::MAP[STRING->CHARACTER]-FIX-WHEN-MAP[STRING->CHARACTER]-P))
 (3 1 (:REWRITE SYNDEF::|MAP[SET[simple-test]->simple-test]-FIX-WHEN-MAP[SET[simple-test]->simple-test]-P|))
 (3 1 (:REWRITE SYNDEF::MAP[OPTION[INT]->OPTION[STRING]]-FIX-WHEN-MAP[OPTION[INT]->OPTION[STRING]]-P))
 (3 1 (:REWRITE SYNDEF::MAP[OPTION[BOOL]->OPTION[BOOL]]-FIX-WHEN-MAP[OPTION[BOOL]->OPTION[BOOL]]-P))
 (3 1 (:REWRITE SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-FIX-WHEN-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[STRING->STRING]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[STRING->CHARACTER]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|MAP[SET[simple-test]->simple-test]-P|))
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 (4 2 (:REWRITE SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-FIX-WHEN-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P))
 (4 2 (:REWRITE SYNDEF::MAP[INT->BOOL]-FIX-WHEN-MAP[INT->BOOL]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[STRING->STRING]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[STRING->CHARACTER]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[OPTION[INT]->OPTION[STRING]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[OPTION[BOOL]->OPTION[BOOL]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[INT->BOOL]-P))
 )
(SYNDEF::|test-types-misc-map-MAP[SET[simple-test]->simple-test]-EQUIV-CONGRUENCE-ON-my_map_6|)
(SYNDEF::|test-types-misc-map-OF-MAP[OPTION[INT]->OPTION[STRING]]-FIX-my_map_7|
 (4 2 (:REWRITE SYNDEF::MAP[STRING->STRING]-FIX-WHEN-MAP[STRING->STRING]-P))
 (4 2 (:REWRITE SYNDEF::MAP[STRING->CHARACTER]-FIX-WHEN-MAP[STRING->CHARACTER]-P))
 (4 2 (:REWRITE SYNDEF::|MAP[SET[simple-test]->simple-test]-FIX-WHEN-MAP[SET[simple-test]->simple-test]-P|))
 (4 2 (:REWRITE SYNDEF::MAP[OPTION[BOOL]->OPTION[BOOL]]-FIX-WHEN-MAP[OPTION[BOOL]->OPTION[BOOL]]-P))
 (4 2 (:REWRITE SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-FIX-WHEN-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P))
 (4 2 (:REWRITE SYNDEF::MAP[INT->BOOL]-FIX-WHEN-MAP[INT->BOOL]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[STRING->STRING]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[STRING->CHARACTER]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|MAP[SET[simple-test]->simple-test]-P|))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[OPTION[BOOL]->OPTION[BOOL]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[INT->BOOL]-P))
 )
(SYNDEF::|test-types-misc-map-MAP[OPTION[INT]->OPTION[STRING]]-EQUIV-CONGRUENCE-ON-my_map_7|)
(SYNDEF::|test-types-misc-map-OF-MAP[OPTION[BOOL]->OPTION[BOOL]]-FIX-my_map_8|
 (4 2 (:REWRITE SYNDEF::MAP[STRING->STRING]-FIX-WHEN-MAP[STRING->STRING]-P))
 (4 2 (:REWRITE SYNDEF::MAP[STRING->CHARACTER]-FIX-WHEN-MAP[STRING->CHARACTER]-P))
 (4 2 (:REWRITE SYNDEF::|MAP[SET[simple-test]->simple-test]-FIX-WHEN-MAP[SET[simple-test]->simple-test]-P|))
 (4 2 (:REWRITE SYNDEF::MAP[OPTION[INT]->OPTION[STRING]]-FIX-WHEN-MAP[OPTION[INT]->OPTION[STRING]]-P))
 (4 2 (:REWRITE SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-FIX-WHEN-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P))
 (4 2 (:REWRITE SYNDEF::MAP[INT->BOOL]-FIX-WHEN-MAP[INT->BOOL]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[STRING->STRING]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[STRING->CHARACTER]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|MAP[SET[simple-test]->simple-test]-P|))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[OPTION[INT]->OPTION[STRING]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[INT->BOOL]-P))
 )
(SYNDEF::|test-types-misc-map-MAP[OPTION[BOOL]->OPTION[BOOL]]-EQUIV-CONGRUENCE-ON-my_map_8|)
(SYNDEF::|test-types-misc-map-OF-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-FIX-my_map_9|
 (4 2 (:REWRITE SYNDEF::MAP[STRING->STRING]-FIX-WHEN-MAP[STRING->STRING]-P))
 (4 2 (:REWRITE SYNDEF::MAP[STRING->CHARACTER]-FIX-WHEN-MAP[STRING->CHARACTER]-P))
 (4 2 (:REWRITE SYNDEF::|MAP[SET[simple-test]->simple-test]-FIX-WHEN-MAP[SET[simple-test]->simple-test]-P|))
 (4 2 (:REWRITE SYNDEF::MAP[OPTION[INT]->OPTION[STRING]]-FIX-WHEN-MAP[OPTION[INT]->OPTION[STRING]]-P))
 (4 2 (:REWRITE SYNDEF::MAP[OPTION[BOOL]->OPTION[BOOL]]-FIX-WHEN-MAP[OPTION[BOOL]->OPTION[BOOL]]-P))
 (4 2 (:REWRITE SYNDEF::MAP[INT->BOOL]-FIX-WHEN-MAP[INT->BOOL]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[STRING->STRING]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[STRING->CHARACTER]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|MAP[SET[simple-test]->simple-test]-P|))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[OPTION[INT]->OPTION[STRING]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[OPTION[BOOL]->OPTION[BOOL]]-P))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::MAP[INT->BOOL]-P))
 )
(SYNDEF::|test-types-misc-map-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-EQUIV-CONGRUENCE-ON-my_map_9|)
(SYNDEF::|test-types-misc-map-FIX-REDEF|)
(SYNDEF::|TAG-OF-test-types-misc-map|)
(SYNDEF::|$str-and-len-FIX-str|)
(SYNDEF::|STRINGP-OF-$str-and-len-FIX-str|)
(SYNDEF::|$str-and-len-FIX-str-ENSURES|)
(SYNDEF::|$str-and-len-FIX-len|)
(SYNDEF::|INTEGERP-OF-$str-and-len-FIX-len|)
(SYNDEF::|$str-and-len-FIX-len-ENSURES|)
(TMP-DEFTYPES-STRINGP-OF-STR-FIX$INLINE)
(TMP-DEFTYPES-INTEGERP-OF-IFIX)
(TMP-DEFTYPES-IFIX-WHEN-INTEGERP
 (1 1 (:REWRITE SYNDEF::INTEGERP-WHEN-IN-SET[INT]-P-BINDS-FREE-X))
 (1 1 (:REWRITE SYNDEF::INTEGERP-WHEN-ASSOC-MAP[INT->BOOL]-P-BINDS-FREE-X))
 )
(SYNDEF::|str-and-len-P|
 (184 22 (:REWRITE ALISTP-WHEN-ATOM))
 (120 8 (:REWRITE STRIP-CARS-WHEN-ATOM))
 (107 45 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (107 45 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (94 94 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (94 94 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (62 30 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (62 30 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (62 30 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (62 10 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 (59 23 (:REWRITE DEFAULT-CAR))
 (48 48 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 (48 24 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (24 24 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (24 8 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (20 10 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (18 18 (:REWRITE DEFAULT-CDR))
 (12 2 (:REWRITE CONSP-OF-STRIP-CARS))
 (10 10 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 )
(SYNDEF::|CONSP-WHEN-str-and-len-P|)
(SYNDEF::|TAG-WHEN-str-and-len-P|)
(SYNDEF::|str-and-len-P-WHEN-WRONG-TAG|)
(SYNDEF::|str-and-len-FIX$INLINE|)
(SYNDEF::|str-and-len-P-OF-str-and-len-FIX|
 (4105 200 (:REWRITE DEFAULT-CDR))
 (3788 90 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (2628 97 (:REWRITE ALISTP-OF-CDR))
 (1557 104 (:REWRITE ALISTP-WHEN-ATOM))
 (827 345 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (827 345 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (666 666 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (666 666 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (359 175 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (359 175 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (359 175 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (338 338 (:TYPE-PRESCRIPTION ALISTP))
 (326 326 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 (294 93 (:REWRITE DEFAULT-CAR))
 (246 104 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (208 104 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (180 90 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (104 104 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (90 90 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (26 17 (:REWRITE STR-FIX-WHEN-STRINGP))
 (23 8 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (17 15 (:REWRITE TMP-DEFTYPES-IFIX-WHEN-INTEGERP))
 (16 8 (:REWRITE DEFAULT-+-2))
 (13 4 (:REWRITE STR-FIX-DEFAULT))
 (12 12 (:REWRITE SYNDEF::STRINGP-WHEN-IN-SET[STRING]-P-BINDS-FREE-X))
 (12 12 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->STRING]-P-BINDS-FREE-X))
 (12 12 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->CHARACTER]-P-BINDS-FREE-X))
 (8 8 (:REWRITE DEFAULT-+-1))
 (7 7 (:REWRITE FTY::EQUAL-OF-LEN))
 (6 6 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (6 6 (:LINEAR LISTPOS-UPPER-BOUND-STRONG-2))
 (6 6 (:LINEAR LEN-WHEN-PREFIXP))
 (4 4 (:REWRITE SYNDEF::INTEGERP-WHEN-IN-SET[INT]-P-BINDS-FREE-X))
 (4 4 (:REWRITE SYNDEF::INTEGERP-WHEN-ASSOC-MAP[INT->BOOL]-P-BINDS-FREE-X))
 )
(SYNDEF::|str-and-len-FIX-WHEN-str-and-len-P|
 (429 36 (:REWRITE ALISTP-OF-CDR))
 (335 146 (:REWRITE DEFAULT-CDR))
 (279 105 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (279 105 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (275 86 (:REWRITE DEFAULT-CAR))
 (246 246 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (246 246 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (222 27 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (151 21 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 (120 48 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (120 48 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (120 48 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (114 6 (:REWRITE STRIP-CARS-WHEN-ATOM))
 (111 45 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (86 43 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (54 27 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (43 43 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (27 27 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (25 7 (:REWRITE FTY::EQUAL-OF-CONS-BY-EQUAL-OF-STRIP-CARS))
 (24 12 (:REWRITE DEFAULT-+-2))
 (21 3 (:REWRITE CONSP-OF-STRIP-CARS))
 (18 2 (:REWRITE FTY::EQUAL-WHEN-STRIP-CARS-OF-CONS))
 (12 12 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (12 12 (:REWRITE DEFAULT-+-1))
 (11 11 (:TYPE-PRESCRIPTION SYNDEF::|$str-and-len-FIX-len|))
 (6 6 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (6 6 (:LINEAR LISTPOS-UPPER-BOUND-STRONG-2))
 (6 6 (:LINEAR LEN-WHEN-PREFIXP))
 (3 3 (:REWRITE SYNDEF::STRINGP-WHEN-IN-SET[STRING]-P-BINDS-FREE-X))
 (3 3 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->STRING]-P-BINDS-FREE-X))
 (3 3 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->CHARACTER]-P-BINDS-FREE-X))
 (3 3 (:REWRITE FTY::EQUAL-OF-LEN))
 (2 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE FTY::EQUAL-WHEN-STRIP-CARS-OF-NIL))
 (1 1 (:REWRITE DEFAULT-<-2))
 )
(SYNDEF::|str-and-len-FIX$INLINE|
 (429 36 (:REWRITE ALISTP-OF-CDR))
 (335 146 (:REWRITE DEFAULT-CDR))
 (279 105 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (279 105 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (275 86 (:REWRITE DEFAULT-CAR))
 (246 246 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (246 246 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (222 27 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (129 18 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 (120 48 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (120 48 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (120 48 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (114 6 (:REWRITE STRIP-CARS-WHEN-ATOM))
 (111 45 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (86 43 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (54 27 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (43 43 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (27 27 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (24 12 (:REWRITE DEFAULT-+-2))
 (21 3 (:REWRITE CONSP-OF-STRIP-CARS))
 (12 12 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (12 12 (:REWRITE DEFAULT-+-1))
 (6 6 (:REWRITE FTY::EQUAL-OF-CONS-BY-EQUAL-OF-STRIP-CARS))
 (6 6 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (6 6 (:LINEAR LISTPOS-UPPER-BOUND-STRONG-2))
 (6 6 (:LINEAR LEN-WHEN-PREFIXP))
 (3 3 (:REWRITE SYNDEF::STRINGP-WHEN-IN-SET[STRING]-P-BINDS-FREE-X))
 (3 3 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->STRING]-P-BINDS-FREE-X))
 (3 3 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->CHARACTER]-P-BINDS-FREE-X))
 (3 3 (:REWRITE FTY::EQUAL-OF-LEN))
 (2 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE DEFAULT-<-2))
 )
(FTY::TMP-DEFFIXTYPE-IDEMPOTENT)
(SYNDEF::|str-and-len-EQUIV$INLINE|)
(SYNDEF::|str-and-len-EQUIV-IS-AN-EQUIVALENCE|)
(SYNDEF::|str-and-len-EQUIV-IMPLIES-EQUAL-str-and-len-FIX-1|)
(SYNDEF::|str-and-len-FIX-UNDER-str-and-len-EQUIV|)
(SYNDEF::|EQUAL-OF-str-and-len-FIX-1-FORWARD-TO-str-and-len-EQUIV|)
(SYNDEF::|EQUAL-OF-str-and-len-FIX-2-FORWARD-TO-str-and-len-EQUIV|)
(SYNDEF::|str-and-len-EQUIV-OF-str-and-len-FIX-1-FORWARD|)
(SYNDEF::|str-and-len-EQUIV-OF-str-and-len-FIX-2-FORWARD|)
(SYNDEF::|TAG-OF-str-and-len-FIX|)
(SYNDEF::|str-and-len->str$INLINE|
 (143 12 (:REWRITE ALISTP-OF-CDR))
 (122 14 (:REWRITE ALISTP-WHEN-ATOM))
 (82 19 (:REWRITE DEFAULT-CAR))
 (81 36 (:REWRITE DEFAULT-CDR))
 (81 31 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (81 31 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (74 74 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (74 74 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (74 9 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (46 46 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 (40 16 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (40 16 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (40 16 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (38 2 (:REWRITE STRIP-CARS-WHEN-ATOM))
 (37 15 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (28 14 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (23 5 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 (18 9 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (14 14 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (9 9 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (7 1 (:REWRITE CONSP-OF-STRIP-CARS))
 (4 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (2 2 (:REWRITE DEFAULT-+-1))
 (1 1 (:REWRITE SYNDEF::STRINGP-WHEN-IN-SET[STRING]-P-BINDS-FREE-X))
 (1 1 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->STRING]-P-BINDS-FREE-X))
 (1 1 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->CHARACTER]-P-BINDS-FREE-X))
 (1 1 (:REWRITE FTY::EQUAL-OF-LEN))
 )
(SYNDEF::|STRINGP-OF-str-and-len->str|)
(SYNDEF::|str-and-len->str$INLINE-OF-str-and-len-FIX-X|
 (6628 327 (:REWRITE DEFAULT-CDR))
 (6134 146 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (5775 84 (:DEFINITION ALISTP))
 (4244 155 (:REWRITE ALISTP-OF-CDR))
 (2539 168 (:REWRITE ALISTP-WHEN-ATOM))
 (1336 558 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (1336 558 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (1078 1078 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (1078 1078 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (579 279 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (579 279 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (579 279 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (544 544 (:TYPE-PRESCRIPTION ALISTP))
 (522 522 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 (451 154 (:REWRITE DEFAULT-CAR))
 (382 160 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (336 168 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (323 12 (:DEFINITION LEN))
 (292 146 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (168 168 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (146 146 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (32 12 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (24 12 (:REWRITE DEFAULT-+-2))
 (16 16 (:REWRITE SYNDEF::STRINGP-WHEN-IN-SET[STRING]-P-BINDS-FREE-X))
 (16 16 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->STRING]-P-BINDS-FREE-X))
 (16 16 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->CHARACTER]-P-BINDS-FREE-X))
 (15 7 (:REWRITE SYNDEF::|str-and-len-FIX-WHEN-str-and-len-P|))
 (12 12 (:REWRITE DEFAULT-+-1))
 (10 10 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (10 10 (:LINEAR LISTPOS-UPPER-BOUND-STRONG-2))
 (10 10 (:LINEAR LEN-WHEN-PREFIXP))
 (8 8 (:TYPE-PRESCRIPTION SYNDEF::|str-and-len-P|))
 (7 7 (:REWRITE SYNDEF::INTEGERP-WHEN-IN-SET[INT]-P-BINDS-FREE-X))
 (7 7 (:REWRITE SYNDEF::INTEGERP-WHEN-ASSOC-MAP[INT->BOOL]-P-BINDS-FREE-X))
 )
(SYNDEF::|str-and-len->str$INLINE-str-and-len-EQUIV-CONGRUENCE-ON-X|)
(SYNDEF::|str-and-len->len$INLINE|
 (143 12 (:REWRITE ALISTP-OF-CDR))
 (122 14 (:REWRITE ALISTP-WHEN-ATOM))
 (82 37 (:REWRITE DEFAULT-CDR))
 (82 19 (:REWRITE DEFAULT-CAR))
 (81 31 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (81 31 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (74 74 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (74 74 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (74 9 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (40 16 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (40 16 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (40 16 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (38 2 (:REWRITE STRIP-CARS-WHEN-ATOM))
 (37 15 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (28 14 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (22 4 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 (18 9 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (14 14 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (9 9 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (7 1 (:REWRITE CONSP-OF-STRIP-CARS))
 (4 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (2 2 (:REWRITE DEFAULT-+-1))
 (1 1 (:REWRITE SYNDEF::STRINGP-WHEN-IN-SET[STRING]-P-BINDS-FREE-X))
 (1 1 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->STRING]-P-BINDS-FREE-X))
 (1 1 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->CHARACTER]-P-BINDS-FREE-X))
 (1 1 (:REWRITE FTY::EQUAL-OF-LEN))
 )
(SYNDEF::|INTEGERP-OF-str-and-len->len|)
(SYNDEF::|str-and-len->len$INLINE-OF-str-and-len-FIX-X|
 (5875 301 (:REWRITE DEFAULT-CDR))
 (5389 128 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
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 (2216 148 (:REWRITE ALISTP-WHEN-ATOM))
 (1186 494 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (1186 494 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (954 954 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (954 954 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (511 249 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (511 249 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (511 249 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (481 481 (:TYPE-PRESCRIPTION ALISTP))
 (464 464 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 (423 138 (:REWRITE DEFAULT-CAR))
 (363 13 (:DEFINITION LEN))
 (350 148 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (296 148 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (256 128 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (148 148 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (128 128 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (92 26 (:REWRITE STR::CONSP-OF-EXPLODE))
 (39 39 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (33 13 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (26 13 (:REWRITE DEFAULT-+-2))
 (21 9 (:REWRITE STR-FIX-DEFAULT))
 (15 7 (:REWRITE SYNDEF::|str-and-len-FIX-WHEN-str-and-len-P|))
 (14 14 (:REWRITE SYNDEF::STRINGP-WHEN-IN-SET[STRING]-P-BINDS-FREE-X))
 (14 14 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->STRING]-P-BINDS-FREE-X))
 (14 14 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->CHARACTER]-P-BINDS-FREE-X))
 (13 13 (:REWRITE FTY::EQUAL-OF-LEN))
 (13 13 (:REWRITE DEFAULT-+-1))
 (8 8 (:TYPE-PRESCRIPTION SYNDEF::|str-and-len-P|))
 (8 8 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (8 8 (:LINEAR LISTPOS-UPPER-BOUND-STRONG-2))
 (8 8 (:LINEAR LEN-WHEN-PREFIXP))
 (5 5 (:REWRITE SYNDEF::INTEGERP-WHEN-IN-SET[INT]-P-BINDS-FREE-X))
 (5 5 (:REWRITE SYNDEF::INTEGERP-WHEN-ASSOC-MAP[INT->BOOL]-P-BINDS-FREE-X))
 )
(SYNDEF::|str-and-len->len$INLINE-str-and-len-EQUIV-CONGRUENCE-ON-X|)
(SYNDEF::|str-and-len|
 (115 5 (:DEFINITION LEN))
 (50 5 (:REWRITE DEFAULT-CDR))
 (30 10 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (30 10 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (20 20 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (20 20 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (15 15 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (15 10 (:REWRITE STR::CONSP-OF-EXPLODE))
 (10 5 (:REWRITE DEFAULT-+-2))
 (5 5 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (5 5 (:REWRITE DEFAULT-+-1))
 (2 2 (:REWRITE SYNDEF::STRINGP-WHEN-IN-SET[STRING]-P-BINDS-FREE-X))
 (2 2 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->STRING]-P-BINDS-FREE-X))
 (2 2 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->CHARACTER]-P-BINDS-FREE-X))
 )
(SYNDEF::|str-and-len-P-OF-str-and-len|
 (249 9 (:DEFINITION LEN))
 (96 9 (:REWRITE DEFAULT-CDR))
 (63 18 (:REWRITE STR::CONSP-OF-EXPLODE))
 (54 18 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (54 18 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (36 36 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (36 36 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (27 27 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (26 17 (:REWRITE STR-FIX-WHEN-STRINGP))
 (24 9 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (18 9 (:REWRITE DEFAULT-+-2))
 (17 15 (:REWRITE TMP-DEFTYPES-IFIX-WHEN-INTEGERP))
 (13 13 (:REWRITE SYNDEF::STRINGP-WHEN-IN-SET[STRING]-P-BINDS-FREE-X))
 (13 13 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->STRING]-P-BINDS-FREE-X))
 (13 13 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->CHARACTER]-P-BINDS-FREE-X))
 (13 4 (:REWRITE STR-FIX-DEFAULT))
 (9 9 (:REWRITE DEFAULT-+-1))
 (7 7 (:REWRITE FTY::EQUAL-OF-LEN))
 (6 6 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (6 6 (:LINEAR LISTPOS-UPPER-BOUND-STRONG-2))
 (6 6 (:LINEAR LEN-WHEN-PREFIXP))
 (4 4 (:REWRITE SYNDEF::INTEGERP-WHEN-IN-SET[INT]-P-BINDS-FREE-X))
 (4 4 (:REWRITE SYNDEF::INTEGERP-WHEN-ASSOC-MAP[INT->BOOL]-P-BINDS-FREE-X))
 )
(SYNDEF::|str-and-len->str-OF-str-and-len|
 (349 13 (:DEFINITION LEN))
 (134 13 (:REWRITE DEFAULT-CDR))
 (85 29 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (85 29 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (56 56 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (56 56 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (36 13 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (26 13 (:REWRITE DEFAULT-+-2))
 (18 18 (:REWRITE SYNDEF::STRINGP-WHEN-IN-SET[STRING]-P-BINDS-FREE-X))
 (18 18 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->STRING]-P-BINDS-FREE-X))
 (18 18 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->CHARACTER]-P-BINDS-FREE-X))
 (13 13 (:REWRITE DEFAULT-+-1))
 (8 8 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (8 8 (:LINEAR LISTPOS-UPPER-BOUND-STRONG-2))
 (8 8 (:LINEAR LEN-WHEN-PREFIXP))
 (7 7 (:REWRITE SYNDEF::INTEGERP-WHEN-IN-SET[INT]-P-BINDS-FREE-X))
 (7 7 (:REWRITE SYNDEF::INTEGERP-WHEN-ASSOC-MAP[INT->BOOL]-P-BINDS-FREE-X))
 )
(SYNDEF::|str-and-len->len-OF-str-and-len|
 (441 16 (:DEFINITION LEN))
 (171 16 (:REWRITE DEFAULT-CDR))
 (110 32 (:REWRITE STR::CONSP-OF-EXPLODE))
 (96 32 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (96 32 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (64 64 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (64 64 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (48 48 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (39 16 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (32 16 (:REWRITE DEFAULT-+-2))
 (21 9 (:REWRITE STR-FIX-DEFAULT))
 (18 18 (:REWRITE SYNDEF::STRINGP-WHEN-IN-SET[STRING]-P-BINDS-FREE-X))
 (18 18 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->STRING]-P-BINDS-FREE-X))
 (18 18 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->CHARACTER]-P-BINDS-FREE-X))
 (16 16 (:REWRITE DEFAULT-+-1))
 (12 12 (:REWRITE FTY::EQUAL-OF-LEN))
 (6 6 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (6 6 (:LINEAR LISTPOS-UPPER-BOUND-STRONG-2))
 (6 6 (:LINEAR LEN-WHEN-PREFIXP))
 (5 5 (:REWRITE SYNDEF::INTEGERP-WHEN-IN-SET[INT]-P-BINDS-FREE-X))
 (5 5 (:REWRITE SYNDEF::INTEGERP-WHEN-ASSOC-MAP[INT->BOOL]-P-BINDS-FREE-X))
 )
(SYNDEF::|str-and-len-REQUIREMENTS|
 (4105 200 (:REWRITE DEFAULT-CDR))
 (3788 90 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (3555 52 (:DEFINITION ALISTP))
 (2628 97 (:REWRITE ALISTP-OF-CDR))
 (1557 104 (:REWRITE ALISTP-WHEN-ATOM))
 (827 345 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (827 345 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (666 666 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (666 666 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (359 175 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (359 175 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (359 175 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (338 338 (:TYPE-PRESCRIPTION ALISTP))
 (294 93 (:REWRITE DEFAULT-CAR))
 (246 104 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (208 104 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (180 90 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (104 104 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (90 90 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (23 8 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (19 10 (:REWRITE STR-FIX-WHEN-STRINGP))
 (16 8 (:REWRITE DEFAULT-+-2))
 (13 4 (:REWRITE STR-FIX-DEFAULT))
 (12 12 (:REWRITE SYNDEF::STRINGP-WHEN-IN-SET[STRING]-P-BINDS-FREE-X))
 (12 12 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->STRING]-P-BINDS-FREE-X))
 (12 12 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->CHARACTER]-P-BINDS-FREE-X))
 (10 8 (:REWRITE TMP-DEFTYPES-IFIX-WHEN-INTEGERP))
 (8 8 (:REWRITE DEFAULT-+-1))
 (7 7 (:REWRITE FTY::EQUAL-OF-LEN))
 (6 6 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (6 6 (:LINEAR LISTPOS-UPPER-BOUND-STRONG-2))
 (6 6 (:LINEAR LEN-WHEN-PREFIXP))
 (4 4 (:REWRITE SYNDEF::INTEGERP-WHEN-IN-SET[INT]-P-BINDS-FREE-X))
 (4 4 (:REWRITE SYNDEF::INTEGERP-WHEN-ASSOC-MAP[INT->BOOL]-P-BINDS-FREE-X))
 )
(SYNDEF::|str-and-len-OF-FIELDS|
 (12503 628 (:REWRITE DEFAULT-CDR))
 (11523 274 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (10832 158 (:DEFINITION ALISTP))
 (7998 293 (:REWRITE ALISTP-OF-CDR))
 (4755 316 (:REWRITE ALISTP-WHEN-ATOM))
 (2522 1052 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (2522 1052 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (2032 2032 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (2032 2032 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (1090 528 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (1090 528 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (1090 528 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (1025 1025 (:TYPE-PRESCRIPTION ALISTP))
 (874 292 (:REWRITE DEFAULT-CAR))
 (732 308 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (686 25 (:DEFINITION LEN))
 (632 316 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (548 274 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (316 316 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (274 274 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (123 6 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 (65 25 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (50 25 (:REWRITE DEFAULT-+-2))
 (30 30 (:REWRITE SYNDEF::STRINGP-WHEN-IN-SET[STRING]-P-BINDS-FREE-X))
 (30 30 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->STRING]-P-BINDS-FREE-X))
 (30 30 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->CHARACTER]-P-BINDS-FREE-X))
 (25 25 (:REWRITE DEFAULT-+-1))
 (18 18 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (18 18 (:LINEAR LISTPOS-UPPER-BOUND-STRONG-2))
 (18 18 (:LINEAR LEN-WHEN-PREFIXP))
 (12 12 (:REWRITE SYNDEF::INTEGERP-WHEN-IN-SET[INT]-P-BINDS-FREE-X))
 (12 12 (:REWRITE SYNDEF::INTEGERP-WHEN-ASSOC-MAP[INT->BOOL]-P-BINDS-FREE-X))
 (3 3 (:REWRITE FTY::EQUAL-OF-CONS-BY-EQUAL-OF-STRIP-CARS))
 (3 1 (:REWRITE SYNDEF::|str-and-len-FIX-WHEN-str-and-len-P|))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|str-and-len-P|))
 )
(SYNDEF::|str-and-len-FIX-WHEN-str-and-len|
 (12513 628 (:REWRITE DEFAULT-CDR))
 (11523 274 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (10832 158 (:DEFINITION ALISTP))
 (8003 293 (:REWRITE ALISTP-OF-CDR))
 (4755 316 (:REWRITE ALISTP-WHEN-ATOM))
 (2522 1052 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (2522 1052 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (2032 2032 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (2032 2032 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (1090 528 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (1090 528 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (1090 528 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (1025 1025 (:TYPE-PRESCRIPTION ALISTP))
 (864 292 (:REWRITE DEFAULT-CAR))
 (732 308 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (686 25 (:DEFINITION LEN))
 (632 316 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (548 274 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (316 316 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (274 274 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (123 6 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 (65 25 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (50 25 (:REWRITE DEFAULT-+-2))
 (30 30 (:REWRITE SYNDEF::STRINGP-WHEN-IN-SET[STRING]-P-BINDS-FREE-X))
 (30 30 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->STRING]-P-BINDS-FREE-X))
 (30 30 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->CHARACTER]-P-BINDS-FREE-X))
 (25 25 (:REWRITE DEFAULT-+-1))
 (18 18 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (18 18 (:LINEAR LISTPOS-UPPER-BOUND-STRONG-2))
 (18 18 (:LINEAR LEN-WHEN-PREFIXP))
 (12 12 (:REWRITE SYNDEF::INTEGERP-WHEN-IN-SET[INT]-P-BINDS-FREE-X))
 (12 12 (:REWRITE SYNDEF::INTEGERP-WHEN-ASSOC-MAP[INT->BOOL]-P-BINDS-FREE-X))
 (3 3 (:REWRITE FTY::EQUAL-OF-CONS-BY-EQUAL-OF-STRIP-CARS))
 (3 1 (:REWRITE SYNDEF::|str-and-len-FIX-WHEN-str-and-len-P|))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|str-and-len-P|))
 )
(SYNDEF::|EQUAL-OF-str-and-len|
 (33054 1699 (:REWRITE DEFAULT-CDR))
 (30085 785 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (27895 461 (:DEFINITION ALISTP))
 (19891 843 (:REWRITE ALISTP-OF-CDR))
 (13200 922 (:REWRITE ALISTP-WHEN-ATOM))
 (6133 2519 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (6133 2519 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (5216 5216 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (5216 5216 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (3107 1505 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (3107 1505 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (3107 1505 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (3024 3024 (:TYPE-PRESCRIPTION ALISTP))
 (2913 920 (:REWRITE DEFAULT-CAR))
 (2768 2768 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 (2008 842 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (1844 922 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (1570 785 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (922 922 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (785 785 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (208 104 (:REWRITE DEFAULT-+-2))
 (203 203 (:REWRITE SYNDEF::STRINGP-WHEN-IN-SET[STRING]-P-BINDS-FREE-X))
 (203 203 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->STRING]-P-BINDS-FREE-X))
 (203 203 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->CHARACTER]-P-BINDS-FREE-X))
 (104 104 (:REWRITE DEFAULT-+-1))
 (96 96 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (96 96 (:LINEAR LISTPOS-UPPER-BOUND-STRONG-2))
 (96 96 (:LINEAR LEN-WHEN-PREFIXP))
 (60 33 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 (34 34 (:REWRITE SYNDEF::INTEGERP-WHEN-IN-SET[INT]-P-BINDS-FREE-X))
 (34 34 (:REWRITE SYNDEF::INTEGERP-WHEN-ASSOC-MAP[INT->BOOL]-P-BINDS-FREE-X))
 (2 2 (:REWRITE-QUOTED-CONSTANT IFIX-UNDER-INT-EQUIV))
 )
(SYNDEF::|str-and-len-OF-STR-FIX-str|
 (2 2 (:REWRITE TMP-DEFTYPES-IFIX-WHEN-INTEGERP))
 )
(SYNDEF::|str-and-len-STREQV-CONGRUENCE-ON-str|)
(SYNDEF::|str-and-len-OF-IFIX-len|
 (2 2 (:REWRITE STR-FIX-WHEN-STRINGP))
 )
(SYNDEF::|str-and-len-INT-EQUIV-CONGRUENCE-ON-len|)
(SYNDEF::|str-and-len-FIX-REDEF|)
(SYNDEF::|TAG-OF-str-and-len|
 (112 4 (:DEFINITION LEN))
 (44 4 (:REWRITE DEFAULT-CDR))
 (30 10 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (30 10 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (20 20 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (20 20 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (12 3 (:REWRITE STR-FIX-WHEN-STRINGP))
 (12 3 (:REWRITE STR-FIX-DEFAULT))
 (8 4 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (8 4 (:REWRITE DEFAULT-+-2))
 (6 6 (:REWRITE SYNDEF::STRINGP-WHEN-IN-SET[STRING]-P-BINDS-FREE-X))
 (6 6 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->STRING]-P-BINDS-FREE-X))
 (6 6 (:REWRITE SYNDEF::STRINGP-WHEN-ASSOC-MAP[STRING->CHARACTER]-P-BINDS-FREE-X))
 (4 4 (:REWRITE SYNDEF::INTEGERP-WHEN-IN-SET[INT]-P-BINDS-FREE-X))
 (4 4 (:REWRITE SYNDEF::INTEGERP-WHEN-ASSOC-MAP[INT->BOOL]-P-BINDS-FREE-X))
 (4 4 (:REWRITE DEFAULT-+-1))
 (3 2 (:REWRITE DEFAULT-CAR))
 (3 1 (:REWRITE TMP-DEFTYPES-IFIX-WHEN-INTEGERP))
 )
(TMP-DEFTYPES-STRINGP-OF-STR-FIX$INLINE)
(STD::DEFLIST-LOCAL-BOOLEANP-ELEMENT-THM)
(TMP-DEFTYPES-INTEGERP-OF-IFIX)
(TMP-DEFTYPES-IFIX-WHEN-INTEGERP
 (1 1 (:REWRITE SYNDEF::INTEGERP-WHEN-IN-SET[INT]-P-BINDS-FREE-X))
 (1 1 (:REWRITE SYNDEF::INTEGERP-WHEN-ASSOC-MAP[INT->BOOL]-P-BINDS-FREE-X))
 )
(TMP-DEFTYPES-CHARACTERP-OF-CHAR-FIX$INLINE)
(SYNDEF::|tiny-mid-big-P|)
(SYNDEF::|CONSP-WHEN-tiny-mid-big-P|)
(SYNDEF::|tiny-mid-big-KIND$INLINE|)
(SYNDEF::|tiny-mid-big-KIND-POSSIBILITIES|)
(SYNDEF::|tiny-mid-big-FIX$INLINE|)
(SYNDEF::|tiny-mid-big-P-OF-tiny-mid-big-FIX|
 (12 4 (:REWRITE SYNDEF::SEQUENCE[STRING]-FIX-WHEN-SEQUENCE[STRING]-P))
 (8 8 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[STRING]-P))
 (8 8 (:REWRITE TMP-DEFTYPES-IFIX-WHEN-INTEGERP))
 (4 4 (:REWRITE CHAR-FIX-WHEN-CHARACTERP))
 )
(SYNDEF::|tiny-mid-big-FIX-WHEN-tiny-mid-big-P|)
(SYNDEF::|tiny-mid-big-FIX$INLINE|)
(FTY::TMP-DEFFIXTYPE-IDEMPOTENT)
(SYNDEF::|tiny-mid-big-EQUIV$INLINE|)
(SYNDEF::|tiny-mid-big-EQUIV-IS-AN-EQUIVALENCE|)
(SYNDEF::|tiny-mid-big-EQUIV-IMPLIES-EQUAL-tiny-mid-big-FIX-1|)
(SYNDEF::|tiny-mid-big-FIX-UNDER-tiny-mid-big-EQUIV|)
(SYNDEF::|EQUAL-OF-tiny-mid-big-FIX-1-FORWARD-TO-tiny-mid-big-EQUIV|)
(SYNDEF::|EQUAL-OF-tiny-mid-big-FIX-2-FORWARD-TO-tiny-mid-big-EQUIV|)
(SYNDEF::|tiny-mid-big-EQUIV-OF-tiny-mid-big-FIX-1-FORWARD|)
(SYNDEF::|tiny-mid-big-EQUIV-OF-tiny-mid-big-FIX-2-FORWARD|)
(SYNDEF::|tiny-mid-big-KIND$INLINE-OF-tiny-mid-big-FIX-X|
 (10 10 (:REWRITE TMP-DEFTYPES-IFIX-WHEN-INTEGERP))
 (7 5 (:REWRITE SYNDEF::SEQUENCE[STRING]-FIX-WHEN-SEQUENCE[STRING]-P))
 (5 5 (:REWRITE CHAR-FIX-WHEN-CHARACTERP))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::SEQUENCE[STRING]-P))
 (1 1 (:REWRITE SYNDEF::|tiny-mid-big-FIX-WHEN-tiny-mid-big-P|))
 )
(SYNDEF::|tiny-mid-big-KIND$INLINE-tiny-mid-big-EQUIV-CONGRUENCE-ON-X|)
(SYNDEF::|CONSP-OF-tiny-mid-big-FIX|)
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(SYNDEF::|tiny-mid-big-mid->y-WHEN-WRONG-KIND|
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(SYNDEF::|tiny-mid-big-mid|)
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(SYNDEF::|tiny-mid-big-mid-OF-IFIX-x|)
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(SYNDEF::|tiny-mid-big-mid-OF-IFIX-y|)
(SYNDEF::|tiny-mid-big-mid-INT-EQUIV-CONGRUENCE-ON-y|)
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(SYNDEF::|$sum-of-two-inv$str-with-fill-pointer-INVARIANT|)
(SYNDEF::|BOOLEANP-OF-$sum-of-two-inv$str-with-fill-pointer-INVARIANT|)
(SYNDEF::|$sum-of-two-inv$str-with-fill-pointer-INVARIANT-ENSURES|)
(SYNDEF::|$sum-of-two-inv$str-with-fill-pointer-INVARIANT-IMPLIES|)
(SYNDEF::|$sum-of-two-inv$polar-coords-INVARIANT|)
(SYNDEF::|BOOLEANP-OF-$sum-of-two-inv$polar-coords-INVARIANT|)
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(SYNDEF::|sum-of-two-inv-P|)
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(SYNDEF::|sum-of-two-inv-FIX$INLINE|)
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(SYNDEF::|sum-of-two-inv-FIX-WHEN-sum-of-two-inv-P|
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(FTY::TMP-DEFFIXTYPE-IDEMPOTENT)
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 )
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 )
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 )
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(SYNDEF::|sum-of-two-inv-str-with-fill-pointer-OF-FIELDS|
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(SYNDEF::|INTEGERP-OF-sum-of-two-inv-polar-coords->angle|)
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(SYNDEF::|sum-of-two-inv-polar-coords->angle$INLINE-sum-of-two-inv-EQUIV-CONGRUENCE-ON-X|)
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(SYNDEF::|sum-of-two-inv-polar-coords|)
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 )
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 )
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 )
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 )
(SYNDEF::|sum-of-two-inv-polar-coords-OF-IFIX-radius|)
(SYNDEF::|sum-of-two-inv-polar-coords-INT-EQUIV-CONGRUENCE-ON-radius|)
(SYNDEF::|sum-of-two-inv-polar-coords-OF-IFIX-angle|)
(SYNDEF::|sum-of-two-inv-polar-coords-INT-EQUIV-CONGRUENCE-ON-angle|)
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(SYNDEF::|pos-EQUIV$INLINE|
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(SYNDEF::|pos-EQUIV-IS-AN-EQUIVALENCE|)
(SYNDEF::|pos-EQUIV-IMPLIES-EQUAL-pos-FIX-1|)
(SYNDEF::|pos-FIX-UNDER-pos-EQUIV|)
(SYNDEF::|EQUAL-OF-pos-FIX-1-FORWARD-TO-pos-EQUIV|)
(SYNDEF::|EQUAL-OF-pos-FIX-2-FORWARD-TO-pos-EQUIV|)
(SYNDEF::|pos-EQUIV-OF-pos-FIX-1-FORWARD|)
(SYNDEF::|pos-EQUIV-OF-pos-FIX-2-FORWARD|)
(SYNDEF::|poseven-P|)
(SYNDEF::|BOOLEANP-OF-poseven-P|)
(SYNDEF::|pos-P-WHEN-poseven-P-REWRITE|)
(SYNDEF::|pos-P-WHEN-poseven-P-FORWARD|)
(SYNDEF::|poseven-FIX|
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(SYNDEF::|poseven-EQUIV-IS-AN-EQUIVALENCE|)
(SYNDEF::|poseven-EQUIV-IMPLIES-EQUAL-poseven-FIX-1|)
(SYNDEF::|poseven-FIX-UNDER-poseven-EQUIV|)
(SYNDEF::|EQUAL-OF-poseven-FIX-1-FORWARD-TO-poseven-EQUIV|)
(SYNDEF::|EQUAL-OF-poseven-FIX-2-FORWARD-TO-poseven-EQUIV|)
(SYNDEF::|poseven-EQUIV-OF-poseven-FIX-1-FORWARD|)
(SYNDEF::|poseven-EQUIV-OF-poseven-FIX-2-FORWARD|)
(SYNDEF::|fourints-P|)
(SYNDEF::|BOOLEANP-OF-fourints-P|)
(SYNDEF::|SEQUENCE[INT]-P-WHEN-fourints-P-REWRITE|)
(SYNDEF::|SEQUENCE[INT]-P-WHEN-fourints-P-FORWARD|)
(SYNDEF::|fourints-FIX|
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(SYNDEF::|fourints-P-OF-fourints-FIX|)
(SYNDEF::|fourints-FIX-WHEN-fourints-P|)
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(SYNDEF::|fourints-EQUIV$INLINE|
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(SYNDEF::|fourints-EQUIV-IS-AN-EQUIVALENCE|)
(SYNDEF::|fourints-EQUIV-IMPLIES-EQUAL-fourints-FIX-1|)
(SYNDEF::|fourints-FIX-UNDER-fourints-EQUIV|)
(SYNDEF::|EQUAL-OF-fourints-FIX-1-FORWARD-TO-fourints-EQUIV|)
(SYNDEF::|EQUAL-OF-fourints-FIX-2-FORWARD-TO-fourints-EQUIV|)
(SYNDEF::|fourints-EQUIV-OF-fourints-FIX-1-FORWARD|)
(SYNDEF::|fourints-EQUIV-OF-fourints-FIX-2-FORWARD|)
(TMP-DEFTYPES-INTEGERP-OF-IFIX)
(TMP-DEFTYPES-IFIX-WHEN-INTEGERP
 (6 1 (:REWRITE SYNDEF::|INTEGERP-WHEN-pos-P-REWRITE|))
 (3 1 (:REWRITE SYNDEF::|pos-P-WHEN-poseven-P-REWRITE|))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|poseven-P|))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|pos-P|))
 (2 2 (:REWRITE SYNDEF::|$sum-of-two-inv$polar-coords-INVARIANT-IMPLIES|))
 (1 1 (:REWRITE SYNDEF::INTEGERP-WHEN-IN-SET[INT]-P-BINDS-FREE-X))
 (1 1 (:REWRITE SYNDEF::INTEGERP-WHEN-ASSOC-MAP[INT->BOOL]-P-BINDS-FREE-X))
 (1 1 (:REWRITE SYNDEF::|$sum-of-two-inv$str-with-fill-pointer-INVARIANT-IMPLIES|))
 )
(SYNDEF::|acid-P|
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 (120 8 (:REWRITE STRIP-CARS-WHEN-ATOM))
 (107 45 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (107 45 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (94 94 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (94 94 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (62 30 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (62 30 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (62 30 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
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 (58 9 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 (48 48 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
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 (12 2 (:REWRITE CONSP-OF-STRIP-CARS))
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(SYNDEF::|CONSP-WHEN-acid-P|)
(SYNDEF::|TAG-WHEN-acid-P|)
(SYNDEF::|acid-P-WHEN-WRONG-TAG|)
(SYNDEF::|acid-FIX$INLINE|)
(SYNDEF::|acid-P-OF-acid-FIX|
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(SYNDEF::|acid-FIX-WHEN-acid-P|
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(SYNDEF::|acid-FIX$INLINE|
 (1 1 (:DEFINITION STRIP-CARS))
 (1 1 (:DEFINITION ALISTP))
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(FTY::TMP-DEFFIXTYPE-IDEMPOTENT)
(SYNDEF::|acid-EQUIV$INLINE|)
(SYNDEF::|acid-EQUIV-IS-AN-EQUIVALENCE|)
(SYNDEF::|acid-EQUIV-IMPLIES-EQUAL-acid-FIX-1|)
(SYNDEF::|acid-FIX-UNDER-acid-EQUIV|)
(SYNDEF::|EQUAL-OF-acid-FIX-1-FORWARD-TO-acid-EQUIV|)
(SYNDEF::|EQUAL-OF-acid-FIX-2-FORWARD-TO-acid-EQUIV|)
(SYNDEF::|acid-EQUIV-OF-acid-FIX-1-FORWARD|)
(SYNDEF::|acid-EQUIV-OF-acid-FIX-2-FORWARD|)
(SYNDEF::|TAG-OF-acid-FIX|)
(SYNDEF::|acid->id$INLINE|
 (4 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 (1 1 (:DEFINITION STRIP-CARS))
 (1 1 (:DEFINITION ALISTP))
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(SYNDEF::|INTEGERP-OF-acid->id|)
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 )
(SYNDEF::|acid->id$INLINE-acid-EQUIV-CONGRUENCE-ON-X|)
(SYNDEF::|acid|)
(SYNDEF::|acid-P-OF-acid|
 (2 2 (:REWRITE TMP-DEFTYPES-IFIX-WHEN-INTEGERP))
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(SYNDEF::|acid->id-OF-acid|
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(SYNDEF::|acid-FIX-WHEN-acid|
 (3 1 (:REWRITE SYNDEF::|acid-FIX-WHEN-acid-P|))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|acid-P|))
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(SYNDEF::|EQUAL-OF-acid|)
(SYNDEF::|acid-OF-IFIX-id|)
(SYNDEF::|acid-INT-EQUIV-CONGRUENCE-ON-id|)
(SYNDEF::|acid-FIX-REDEF|)
(SYNDEF::|TAG-OF-acid|)
(SYNDEF::|actype-P|)
(SYNDEF::|CONSP-WHEN-actype-P|)
(SYNDEF::|actype-KIND$INLINE|)
(SYNDEF::|actype-KIND-POSSIBILITIES|)
(SYNDEF::|actype-FIX$INLINE|)
(SYNDEF::|actype-P-OF-actype-FIX|)
(SYNDEF::|actype-FIX-WHEN-actype-P|)
(SYNDEF::|actype-FIX$INLINE|)
(FTY::TMP-DEFFIXTYPE-IDEMPOTENT)
(SYNDEF::|actype-EQUIV$INLINE|)
(SYNDEF::|actype-EQUIV-IS-AN-EQUIVALENCE|)
(SYNDEF::|actype-EQUIV-IMPLIES-EQUAL-actype-FIX-1|)
(SYNDEF::|actype-FIX-UNDER-actype-EQUIV|)
(SYNDEF::|EQUAL-OF-actype-FIX-1-FORWARD-TO-actype-EQUIV|)
(SYNDEF::|EQUAL-OF-actype-FIX-2-FORWARD-TO-actype-EQUIV|)
(SYNDEF::|actype-EQUIV-OF-actype-FIX-1-FORWARD|)
(SYNDEF::|actype-EQUIV-OF-actype-FIX-2-FORWARD|)
(SYNDEF::|actype-KIND$INLINE-OF-actype-FIX-X|
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(SYNDEF::|actype-KIND$INLINE-actype-EQUIV-CONGRUENCE-ON-X|)
(SYNDEF::|CONSP-OF-actype-FIX|)
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(SYNDEF::|TAG-OF-actype-FIX|)
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(SYNDEF::|EQUAL-OF-actype-a|
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(SYNDEF::|RETURN-TYPE-OF-actype-c|)
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 (3 1 (:REWRITE SYNDEF::|actype-FIX-WHEN-actype-P|))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|actype-P|))
 (1 1 (:REWRITE SYNDEF::|actype-FIX-WHEN-b|))
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 (3 3 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
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(SYNDEF::|CONSP-WHEN-aircraft-P|)
(SYNDEF::|TAG-WHEN-aircraft-P|)
(SYNDEF::|aircraft-P-WHEN-WRONG-TAG|)
(SYNDEF::|aircraft-FIX$INLINE|)
(SYNDEF::|aircraft-P-OF-aircraft-FIX|
 (14 6 (:REWRITE SYNDEF::|actype-FIX-WHEN-actype-P|))
 (12 4 (:REWRITE SYNDEF::|acid-FIX-WHEN-acid-P|))
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(SYNDEF::|aircraft-FIX-WHEN-aircraft-P|
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(SYNDEF::|aircraft-FIX$INLINE|
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 (144 16 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (142 52 (:REWRITE DEFAULT-CAR))
 (126 50 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (126 50 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
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 (120 120 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
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 (91 15 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 (76 4 (:REWRITE STRIP-CARS-WHEN-ATOM))
 (74 30 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (74 30 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (74 30 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
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 (32 16 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
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 (16 16 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (14 2 (:REWRITE CONSP-OF-STRIP-CARS))
 (5 5 (:REWRITE FTY::EQUAL-OF-CONS-BY-EQUAL-OF-STRIP-CARS))
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(FTY::TMP-DEFFIXTYPE-IDEMPOTENT)
(SYNDEF::|aircraft-EQUIV$INLINE|)
(SYNDEF::|aircraft-EQUIV-IS-AN-EQUIVALENCE|)
(SYNDEF::|aircraft-EQUIV-IMPLIES-EQUAL-aircraft-FIX-1|)
(SYNDEF::|aircraft-FIX-UNDER-aircraft-EQUIV|)
(SYNDEF::|EQUAL-OF-aircraft-FIX-1-FORWARD-TO-aircraft-EQUIV|)
(SYNDEF::|EQUAL-OF-aircraft-FIX-2-FORWARD-TO-aircraft-EQUIV|)
(SYNDEF::|aircraft-EQUIV-OF-aircraft-FIX-1-FORWARD|)
(SYNDEF::|aircraft-EQUIV-OF-aircraft-FIX-2-FORWARD|)
(SYNDEF::|TAG-OF-aircraft-FIX|)
(SYNDEF::|aircraft->id$INLINE|
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(SYNDEF::|acid-P-OF-aircraft->id|)
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(SYNDEF::|aircraft->id$INLINE-aircraft-EQUIV-CONGRUENCE-ON-X|)
(SYNDEF::|aircraft->type$INLINE|
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(SYNDEF::|actype-P-OF-aircraft->type|)
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 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|acid-P|))
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(SYNDEF::|aircraft->type$INLINE-aircraft-EQUIV-CONGRUENCE-ON-X|)
(SYNDEF::|aircraft|)
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 (8 4 (:REWRITE SYNDEF::|actype-FIX-WHEN-actype-P|))
 (6 2 (:REWRITE SYNDEF::|acid-FIX-WHEN-acid-P|))
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(SYNDEF::|aircraft->id-OF-aircraft|)
(SYNDEF::|aircraft->type-OF-aircraft|)
(SYNDEF::|aircraft-OF-FIELDS|
 (3 1 (:REWRITE SYNDEF::|aircraft-FIX-WHEN-aircraft-P|))
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(SYNDEF::|aircraft-FIX-WHEN-aircraft|
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(SYNDEF::|EQUAL-OF-aircraft|)
(SYNDEF::|aircraft-OF-acid-FIX-id|
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(SYNDEF::|aircraft-acid-EQUIV-CONGRUENCE-ON-id|)
(SYNDEF::|aircraft-OF-actype-FIX-type|
 (4 2 (:REWRITE SYNDEF::|acid-FIX-WHEN-acid-P|))
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 )
(SYNDEF::|aircraft-actype-EQUIV-CONGRUENCE-ON-type|)
(SYNDEF::|aircraft-FIX-REDEF|)
(SYNDEF::|TAG-OF-aircraft|)
(SYNDEF::|mission-P|
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(SYNDEF::|CONSP-WHEN-mission-P|)
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(SYNDEF::|mission-P-WHEN-WRONG-TAG|)
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(SYNDEF::|mission-EQUIV$INLINE|)
(SYNDEF::|mission-EQUIV-IS-AN-EQUIVALENCE|)
(SYNDEF::|mission-EQUIV-IMPLIES-EQUAL-mission-FIX-1|)
(SYNDEF::|mission-FIX-UNDER-mission-EQUIV|)
(SYNDEF::|EQUAL-OF-mission-FIX-1-FORWARD-TO-mission-EQUIV|)
(SYNDEF::|EQUAL-OF-mission-FIX-2-FORWARD-TO-mission-EQUIV|)
(SYNDEF::|mission-EQUIV-OF-mission-FIX-1-FORWARD|)
(SYNDEF::|mission-EQUIV-OF-mission-FIX-2-FORWARD|)
(SYNDEF::|TAG-OF-mission-FIX|)
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(SYNDEF::|mission->required$INLINE-OF-mission-FIX-X|
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(SYNDEF::|mission->required$INLINE-mission-EQUIV-CONGRUENCE-ON-X|)
(SYNDEF::|mission|)
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 (6 2 (:REWRITE SYNDEF::|actype-FIX-WHEN-actype-P|))
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(SYNDEF::|mission->required-OF-mission|)
(SYNDEF::|mission-OF-FIELDS|
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(SYNDEF::|EQUAL-OF-mission|)
(SYNDEF::|mission-OF-actype-FIX-required|)
(SYNDEF::|mission-actype-EQUIV-CONGRUENCE-ON-required|)
(SYNDEF::|mission-FIX-REDEF|)
(SYNDEF::|TAG-OF-mission|)
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(STD::DEFLIST-LOCAL-BOOLEANP-ELEMENT-THM)
(STD::DEFLIST-LOCAL-ELEMENTP-OF-NIL-THM)
(SYNDEF::|SEQUENCE[acid]-P-OF-CONS|)
(SYNDEF::|SEQUENCE[acid]-P-OF-CDR-WHEN-SEQUENCE[acid]-P|)
(SYNDEF::|SEQUENCE[acid]-P-WHEN-NOT-CONSP|)
(SYNDEF::|acid-P-OF-CAR-WHEN-SEQUENCE[acid]-P|)
(SYNDEF::|TRUE-LISTP-WHEN-SEQUENCE[acid]-P-COMPOUND-RECOGNIZER|)
(SYNDEF::|SEQUENCE[acid]-P-OF-LIST-FIX|)
(SYNDEF::|SEQUENCE[acid]-P-OF-REV|)
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 )
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(SYNDEF::|SEQUENCE[acid]-FIX-UNDER-SEQUENCE[acid]-EQUIV|)
(SYNDEF::|EQUAL-OF-SEQUENCE[acid]-FIX-1-FORWARD-TO-SEQUENCE[acid]-EQUIV|)
(SYNDEF::|EQUAL-OF-SEQUENCE[acid]-FIX-2-FORWARD-TO-SEQUENCE[acid]-EQUIV|)
(SYNDEF::|SEQUENCE[acid]-EQUIV-OF-SEQUENCE[acid]-FIX-1-FORWARD|)
(SYNDEF::|SEQUENCE[acid]-EQUIV-OF-SEQUENCE[acid]-FIX-2-FORWARD|)
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 (4 1 (:REWRITE SYNDEF::|SEQUENCE[acid]-P-OF-CDR-WHEN-SEQUENCE[acid]-P|))
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 )
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 )
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 )
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(SYNDEF::|SEQUENCE[acid]-EQUIV-IMPLIES-SEQUENCE[acid]-EQUIV-APPEND-1|
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 (249 39 (:REWRITE SYNDEF::|SEQUENCE[acid]-FIX-WHEN-SEQUENCE[acid]-P|))
 (175 175 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[acid]-P|))
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 (326 38 (:REWRITE SYNDEF::|SEQUENCE[acid]-FIX-WHEN-SEQUENCE[acid]-P|))
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(SYNDEF::|result-P|)
(SYNDEF::|CONSP-WHEN-result-P|)
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 (12 4 (:REWRITE SYNDEF::|SEQUENCE[acid]-FIX-WHEN-SEQUENCE[acid]-P|))
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(SYNDEF::|result-EQUIV$INLINE|)
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(SYNDEF::|result-EQUIV-IMPLIES-EQUAL-result-FIX-1|)
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(SYNDEF::|EQUAL-OF-result-FIX-2-FORWARD-TO-result-EQUIV|)
(SYNDEF::|result-EQUIV-OF-result-FIX-1-FORWARD|)
(SYNDEF::|result-EQUIV-OF-result-FIX-2-FORWARD|)
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(SYNDEF::|CONSP-OF-result-FIX|)
(SYNDEF::|TAG-WHEN-result-P-FORWARD|)
(SYNDEF::|TAG-OF-result-FIX|)
(SYNDEF::|result-solution->get$INLINE|)
(SYNDEF::|SEQUENCE[acid]-P-OF-result-solution->get|
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 )
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(SYNDEF::|result-solution->get$INLINE-result-EQUIV-CONGRUENCE-ON-X|)
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 )
(SYNDEF::|result-solution|)
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 (3 1 (:REWRITE SYNDEF::|SEQUENCE[acid]-FIX-WHEN-SEQUENCE[acid]-P|))
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 )
(SYNDEF::|result-solution->get-OF-result-solution|)
(SYNDEF::|result-solution-OF-FIELDS|
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 )
(SYNDEF::|result-FIX-WHEN-solution|
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 )
(SYNDEF::|EQUAL-OF-result-solution|)
(SYNDEF::|result-solution-OF-SEQUENCE[acid]-FIX-get|)
(SYNDEF::|result-solution-SEQUENCE[acid]-EQUIV-CONGRUENCE-ON-get|)
(SYNDEF::|result-nosolution|)
(SYNDEF::|RETURN-TYPE-OF-result-nosolution|)
(SYNDEF::|result-FIX-WHEN-nosolution|
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 )
(SYNDEF::|EQUAL-OF-result-nosolution|
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 )
(SYNDEF::|result-FIX-REDEF|
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 )
(STD::DEFLIST-LOCAL-BOOLEANP-ELEMENT-THM)
(STD::DEFLIST-LOCAL-ELEMENTP-OF-NIL-THM)
(SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|)
(STD::DEFLIST-LOCAL-BOOLEANP-ELEMENT-THM)
(STD::DEFLIST-LOCAL-ELEMENTP-OF-NIL-THM)
(SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CONS|)
(SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CDR-WHEN-SEQUENCE[SEQUENCE[acid]]-P|)
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(SYNDEF::|SEQUENCE[acid]-P-OF-CAR-WHEN-SEQUENCE[SEQUENCE[acid]]-P|)
(SYNDEF::|TRUE-LISTP-WHEN-SEQUENCE[SEQUENCE[acid]]-P-COMPOUND-RECOGNIZER|)
(SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-LIST-FIX|)
(SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-REV|)
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 )
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 )
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 )
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 )
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(SYNDEF::|SEQUENCE[SEQUENCE[acid]]-EQUIV-IMPLIES-EQUAL-SEQUENCE[SEQUENCE[acid]]-FIX-1|)
(SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-UNDER-SEQUENCE[SEQUENCE[acid]]-EQUIV|)
(SYNDEF::|EQUAL-OF-SEQUENCE[SEQUENCE[acid]]-FIX-1-FORWARD-TO-SEQUENCE[SEQUENCE[acid]]-EQUIV|)
(SYNDEF::|EQUAL-OF-SEQUENCE[SEQUENCE[acid]]-FIX-2-FORWARD-TO-SEQUENCE[SEQUENCE[acid]]-EQUIV|)
(SYNDEF::|SEQUENCE[SEQUENCE[acid]]-EQUIV-OF-SEQUENCE[SEQUENCE[acid]]-FIX-1-FORWARD|)
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 (29 3 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CDR-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
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(SYNDEF::|CDR-SEQUENCE[SEQUENCE[acid]]-EQUIV-CONGRUENCE-ON-X-UNDER-SEQUENCE[SEQUENCE[acid]]-EQUIV|)
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 )
(SYNDEF::|CONS-SEQUENCE[acid]-EQUIV-CONGRUENCE-ON-X-UNDER-SEQUENCE[SEQUENCE[acid]]-EQUIV|)
(SYNDEF::|CONS-OF-SEQUENCE[SEQUENCE[acid]]-FIX-Y-UNDER-SEQUENCE[SEQUENCE[acid]]-EQUIV|
 (12 2 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CONS|))
 (8 8 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[acid]-P|))
 (5 4 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-NOT-CONSP|))
 (4 2 (:REWRITE SYNDEF::|SEQUENCE[acid]-FIX-WHEN-SEQUENCE[acid]-P|))
 )
(SYNDEF::|CONS-SEQUENCE[SEQUENCE[acid]]-EQUIV-CONGRUENCE-ON-Y-UNDER-SEQUENCE[SEQUENCE[acid]]-EQUIV|)
(SYNDEF::|CONSP-OF-SEQUENCE[SEQUENCE[acid]]-FIX|
 (12 2 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (8 8 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (7 1 (:REWRITE SYNDEF::|SEQUENCE[acid]-FIX-WHEN-SEQUENCE[acid]-P|))
 (4 4 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-NOT-CONSP|))
 (4 1 (:REWRITE SYNDEF::|SEQUENCE[acid]-P-OF-CAR-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (4 1 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CDR-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[acid]-P|))
 )
(SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-UNDER-IFF|
 (12 2 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (8 8 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (7 1 (:REWRITE SYNDEF::|SEQUENCE[acid]-FIX-WHEN-SEQUENCE[acid]-P|))
 (4 4 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-NOT-CONSP|))
 (4 1 (:REWRITE SYNDEF::|SEQUENCE[acid]-P-OF-CAR-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (4 1 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CDR-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[acid]-P|))
 )
(SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-OF-CONS|
 (13 3 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (5 1 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CONS|))
 (4 4 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[acid]-P|))
 (4 4 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (4 2 (:REWRITE SYNDEF::|SEQUENCE[acid]-FIX-WHEN-SEQUENCE[acid]-P|))
 (3 3 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-NOT-CONSP|))
 )
(SYNDEF::|LEN-OF-SEQUENCE[SEQUENCE[acid]]-FIX|
 (23 4 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (13 13 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (8 2 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CDR-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (7 7 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-NOT-CONSP|))
 (7 1 (:REWRITE SYNDEF::|SEQUENCE[acid]-FIX-WHEN-SEQUENCE[acid]-P|))
 (4 1 (:REWRITE SYNDEF::|SEQUENCE[acid]-P-OF-CAR-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[acid]-P|))
 (1 1 (:REWRITE FTY::EQUAL-OF-LEN))
 )
(SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-OF-APPEND|
 (56 10 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (23 23 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (18 12 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-NOT-CONSP|))
 (8 2 (:REWRITE SYNDEF::|SEQUENCE[acid]-FIX-WHEN-SEQUENCE[acid]-P|))
 (8 2 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CDR-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (4 1 (:REWRITE SYNDEF::|SEQUENCE[acid]-P-OF-CAR-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[acid]-P|))
 )
(SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-OF-REPEAT|
 (20 2 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (10 4 (:REWRITE SYNDEF::|SEQUENCE[acid]-FIX-WHEN-SEQUENCE[acid]-P|))
 (8 2 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-NOT-CONSP|))
 (6 6 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[acid]-P|))
 (4 4 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (1 1 (:REWRITE-QUOTED-CONSTANT SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-UNDER-SEQUENCE[SEQUENCE[acid]]-EQUIV|))
 )
(SYNDEF::|LIST-EQUIV-REFINES-SEQUENCE[SEQUENCE[acid]]-EQUIV|
 (98 14 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (72 8 (:REWRITE SYNDEF::|SEQUENCE[acid]-FIX-WHEN-SEQUENCE[acid]-P|))
 (70 70 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (60 18 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CDR-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (48 8 (:REWRITE SYNDEF::|SEQUENCE[acid]-P-OF-CAR-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (36 36 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-NOT-CONSP|))
 (16 16 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[acid]-P|))
 (1 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 )
(SYNDEF::|NTH-OF-SEQUENCE[SEQUENCE[acid]]-FIX|
 (134 30 (:REWRITE SYNDEF::|SEQUENCE[acid]-FIX-WHEN-SEQUENCE[acid]-P|))
 (110 23 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (73 73 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (60 60 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[acid]-P|))
 (44 11 (:REWRITE SYNDEF::|SEQUENCE[acid]-P-OF-CAR-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (39 39 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-NOT-CONSP|))
 (32 8 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CDR-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (4 4 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (4 4 (:LINEAR LISTPOS-UPPER-BOUND-STRONG-2))
 (4 4 (:LINEAR LEN-WHEN-PREFIXP))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(SYNDEF::|SEQUENCE[SEQUENCE[acid]]-EQUIV-IMPLIES-SEQUENCE[SEQUENCE[acid]]-EQUIV-APPEND-1|
 (181 32 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (131 17 (:REWRITE SYNDEF::|SEQUENCE[acid]-FIX-WHEN-SEQUENCE[acid]-P|))
 (126 126 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (80 17 (:REWRITE SYNDEF::|SEQUENCE[acid]-P-OF-CAR-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (79 22 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CDR-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (64 64 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-NOT-CONSP|))
 (34 34 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[acid]-P|))
 (1 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 )
(SYNDEF::|SEQUENCE[SEQUENCE[acid]]-EQUIV-IMPLIES-SEQUENCE[SEQUENCE[acid]]-EQUIV-APPEND-2|
 (267 46 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (206 26 (:REWRITE SYNDEF::|SEQUENCE[acid]-FIX-WHEN-SEQUENCE[acid]-P|))
 (189 189 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (138 39 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CDR-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (128 26 (:REWRITE SYNDEF::|SEQUENCE[acid]-P-OF-CAR-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (95 95 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-NOT-CONSP|))
 (52 52 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[acid]-P|))
 (4 4 (:REWRITE SYNDEF::|CONSP-OF-SEQUENCE[SEQUENCE[acid]]-FIX|))
 )
(SYNTHETO::|SEQUENCE[SEQUENCE[acid]]-EQUIV-IMPLIES-SEQUENCE[SEQUENCE[acid]]-EQUIV-NTHCDR-2|
 (249 39 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (175 175 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (174 22 (:REWRITE SYNDEF::|SEQUENCE[acid]-FIX-WHEN-SEQUENCE[acid]-P|))
 (117 33 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CDR-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (108 22 (:REWRITE SYNDEF::|SEQUENCE[acid]-P-OF-CAR-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (88 88 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-NOT-CONSP|))
 (44 44 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[acid]-P|))
 )
(SYNTHETO::|SEQUENCE[SEQUENCE[acid]]-EQUIV-IMPLIES-SEQUENCE[SEQUENCE[acid]]-EQUIV-TAKE-2|
 (326 38 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (222 28 (:REWRITE SYNDEF::|SEQUENCE[acid]-FIX-WHEN-SEQUENCE[acid]-P|))
 (190 190 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (149 39 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CDR-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (140 26 (:REWRITE SYNDEF::|SEQUENCE[acid]-P-OF-CAR-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (119 95 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-NOT-CONSP|))
 (54 54 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[acid]-P|))
 (6 6 (:REWRITE-QUOTED-CONSTANT SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-UNDER-SEQUENCE[SEQUENCE[acid]]-EQUIV|))
 (1 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 )
(SYNDEF::|seq2-P|)
(STD::DEFLIST-LOCAL-BOOLEANP-ELEMENT-THM)
(STD::DEFLIST-LOCAL-ELEMENTP-OF-NIL-THM)
(SYNDEF::|seq2-P-OF-CONS|)
(SYNDEF::|seq2-P-OF-CDR-WHEN-seq2-P|)
(SYNDEF::|seq2-P-WHEN-NOT-CONSP|)
(SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|)
(SYNDEF::|TRUE-LISTP-WHEN-seq2-P-COMPOUND-RECOGNIZER|)
(SYNDEF::|seq2-P-OF-LIST-FIX|)
(SYNDEF::|seq2-P-OF-REV|)
(SYNDEF::|seq2-FIX$INLINE|)
(SYNDEF::|seq2-P-OF-seq2-FIX|
 (15 1 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (12 5 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 (12 2 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|))
 (9 1 (:DEFINITION SYNDEF::|seq2-P|))
 (4 4 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (2 1 (:REWRITE SYNDEF::|seq2-P-OF-CDR-WHEN-seq2-P|))
 )
(SYNDEF::|seq2-FIX-WHEN-seq2-P|
 (17 4 (:REWRITE SYNDEF::|seq2-P-OF-CDR-WHEN-seq2-P|))
 (9 3 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|))
 )
(SYNDEF::|seq2-FIX$INLINE|
 (4 4 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 (4 1 (:REWRITE SYNDEF::|seq2-P-OF-CDR-WHEN-seq2-P|))
 (4 1 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|))
 )
(FTY::TMP-DEFFIXTYPE-IDEMPOTENT
 (1 1 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 )
(SYNDEF::|seq2-EQUIV$INLINE|)
(SYNDEF::|seq2-EQUIV-IS-AN-EQUIVALENCE|)
(SYNDEF::|seq2-EQUIV-IMPLIES-EQUAL-seq2-FIX-1|)
(SYNDEF::|seq2-FIX-UNDER-seq2-EQUIV|)
(SYNDEF::|EQUAL-OF-seq2-FIX-1-FORWARD-TO-seq2-EQUIV|)
(SYNDEF::|EQUAL-OF-seq2-FIX-2-FORWARD-TO-seq2-EQUIV|)
(SYNDEF::|seq2-EQUIV-OF-seq2-FIX-1-FORWARD|)
(SYNDEF::|seq2-EQUIV-OF-seq2-FIX-2-FORWARD|)
(SYNDEF::|CAR-OF-seq2-FIX-X-UNDER-SEQUENCE[SEQUENCE[acid]]-EQUIV|
 (21 3 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (12 12 (:TYPE-PRESCRIPTION SYNDEF::|seq2-P|))
 (12 3 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|))
 (12 2 (:REWRITE SYNDEF::|seq2-FIX-WHEN-seq2-P|))
 (6 6 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (6 6 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 (4 1 (:REWRITE SYNDEF::|seq2-P-OF-CDR-WHEN-seq2-P|))
 (3 3 (:TYPE-PRESCRIPTION SYNDEF::|seq2-FIX$INLINE|))
 )
(SYNDEF::|CAR-seq2-EQUIV-CONGRUENCE-ON-X-UNDER-SEQUENCE[SEQUENCE[acid]]-EQUIV|)
(SYNDEF::|CDR-OF-seq2-FIX-X-UNDER-seq2-EQUIV|
 (29 3 (:REWRITE SYNDEF::|seq2-P-OF-CDR-WHEN-seq2-P|))
 (14 2 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (8 2 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|))
 (4 4 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 )
(SYNDEF::|CDR-seq2-EQUIV-CONGRUENCE-ON-X-UNDER-seq2-EQUIV|)
(SYNDEF::|CONS-OF-SEQUENCE[SEQUENCE[acid]]-FIX-X-UNDER-seq2-EQUIV|
 (20 4 (:REWRITE SYNDEF::|seq2-FIX-WHEN-seq2-P|))
 (9 2 (:REWRITE SYNDEF::|seq2-P-OF-CONS|))
 (6 6 (:TYPE-PRESCRIPTION SYNDEF::|seq2-P|))
 (5 5 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 )
(SYNDEF::|CONS-SEQUENCE[SEQUENCE[acid]]-EQUIV-CONGRUENCE-ON-X-UNDER-seq2-EQUIV|)
(SYNDEF::|CONS-OF-seq2-FIX-Y-UNDER-seq2-EQUIV|
 (12 2 (:REWRITE SYNDEF::|seq2-P-OF-CONS|))
 (8 8 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (5 4 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 (4 2 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 )
(SYNDEF::|CONS-seq2-EQUIV-CONGRUENCE-ON-Y-UNDER-seq2-EQUIV|)
(SYNDEF::|CONSP-OF-seq2-FIX|
 (12 2 (:REWRITE SYNDEF::|seq2-FIX-WHEN-seq2-P|))
 (8 8 (:TYPE-PRESCRIPTION SYNDEF::|seq2-P|))
 (7 1 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (4 4 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 (4 1 (:REWRITE SYNDEF::|seq2-P-OF-CDR-WHEN-seq2-P|))
 (4 1 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 )
(SYNDEF::|seq2-FIX-UNDER-IFF|
 (12 2 (:REWRITE SYNDEF::|seq2-FIX-WHEN-seq2-P|))
 (8 8 (:TYPE-PRESCRIPTION SYNDEF::|seq2-P|))
 (7 1 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (4 4 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 (4 1 (:REWRITE SYNDEF::|seq2-P-OF-CDR-WHEN-seq2-P|))
 (4 1 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 )
(SYNDEF::|seq2-FIX-OF-CONS|
 (13 3 (:REWRITE SYNDEF::|seq2-FIX-WHEN-seq2-P|))
 (5 1 (:REWRITE SYNDEF::|seq2-P-OF-CONS|))
 (4 4 (:TYPE-PRESCRIPTION SYNDEF::|seq2-P|))
 (4 4 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (4 2 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (3 3 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 )
(SYNDEF::|LEN-OF-seq2-FIX|
 (23 4 (:REWRITE SYNDEF::|seq2-FIX-WHEN-seq2-P|))
 (13 13 (:TYPE-PRESCRIPTION SYNDEF::|seq2-P|))
 (8 2 (:REWRITE SYNDEF::|seq2-P-OF-CDR-WHEN-seq2-P|))
 (7 7 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 (7 1 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (4 1 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (1 1 (:REWRITE FTY::EQUAL-OF-LEN))
 )
(SYNDEF::|seq2-FIX-OF-APPEND|
 (56 10 (:REWRITE SYNDEF::|seq2-FIX-WHEN-seq2-P|))
 (23 23 (:TYPE-PRESCRIPTION SYNDEF::|seq2-P|))
 (18 12 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 (8 2 (:REWRITE SYNDEF::|seq2-P-OF-CDR-WHEN-seq2-P|))
 (8 2 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (4 1 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 )
(SYNDEF::|seq2-FIX-OF-REPEAT|
 (20 2 (:REWRITE SYNDEF::|seq2-FIX-WHEN-seq2-P|))
 (10 4 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (8 2 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 (6 6 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (4 4 (:TYPE-PRESCRIPTION SYNDEF::|seq2-P|))
 (1 1 (:REWRITE-QUOTED-CONSTANT SYNDEF::|seq2-FIX-UNDER-seq2-EQUIV|))
 )
(SYNDEF::|LIST-EQUIV-REFINES-seq2-EQUIV|
 (98 14 (:REWRITE SYNDEF::|seq2-FIX-WHEN-seq2-P|))
 (72 8 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (70 70 (:TYPE-PRESCRIPTION SYNDEF::|seq2-P|))
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 (48 8 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|))
 (36 36 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 (16 16 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (1 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 )
(SYNDEF::|NTH-OF-seq2-FIX|
 (134 30 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (110 23 (:REWRITE SYNDEF::|seq2-FIX-WHEN-seq2-P|))
 (73 73 (:TYPE-PRESCRIPTION SYNDEF::|seq2-P|))
 (60 60 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (44 11 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|))
 (39 39 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 (32 8 (:REWRITE SYNDEF::|seq2-P-OF-CDR-WHEN-seq2-P|))
 (4 4 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (4 4 (:LINEAR LISTPOS-UPPER-BOUND-STRONG-2))
 (4 4 (:LINEAR LEN-WHEN-PREFIXP))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(SYNDEF::|seq2-EQUIV-IMPLIES-seq2-EQUIV-APPEND-1|
 (181 32 (:REWRITE SYNDEF::|seq2-FIX-WHEN-seq2-P|))
 (131 17 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (126 126 (:TYPE-PRESCRIPTION SYNDEF::|seq2-P|))
 (80 17 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|))
 (79 22 (:REWRITE SYNDEF::|seq2-P-OF-CDR-WHEN-seq2-P|))
 (64 64 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 (34 34 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (1 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 )
(SYNDEF::|seq2-EQUIV-IMPLIES-seq2-EQUIV-APPEND-2|
 (267 46 (:REWRITE SYNDEF::|seq2-FIX-WHEN-seq2-P|))
 (206 26 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (189 189 (:TYPE-PRESCRIPTION SYNDEF::|seq2-P|))
 (138 39 (:REWRITE SYNDEF::|seq2-P-OF-CDR-WHEN-seq2-P|))
 (128 26 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|))
 (95 95 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 (52 52 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (4 4 (:REWRITE SYNDEF::|CONSP-OF-seq2-FIX|))
 )
(SYNTHETO::|seq2-EQUIV-IMPLIES-seq2-EQUIV-NTHCDR-2|
 (249 39 (:REWRITE SYNDEF::|seq2-FIX-WHEN-seq2-P|))
 (175 175 (:TYPE-PRESCRIPTION SYNDEF::|seq2-P|))
 (174 22 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (117 33 (:REWRITE SYNDEF::|seq2-P-OF-CDR-WHEN-seq2-P|))
 (108 22 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|))
 (88 88 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 (44 44 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 )
(SYNTHETO::|seq2-EQUIV-IMPLIES-seq2-EQUIV-TAKE-2|
 (326 38 (:REWRITE SYNDEF::|seq2-FIX-WHEN-seq2-P|))
 (222 28 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-FIX-WHEN-SEQUENCE[SEQUENCE[acid]]-P|))
 (190 190 (:TYPE-PRESCRIPTION SYNDEF::|seq2-P|))
 (149 39 (:REWRITE SYNDEF::|seq2-P-OF-CDR-WHEN-seq2-P|))
 (140 26 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|))
 (119 95 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 (54 54 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (6 6 (:REWRITE-QUOTED-CONSTANT SYNDEF::|seq2-FIX-UNDER-seq2-EQUIV|))
 (1 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 )
(STD::DEFLIST-LOCAL-BOOLEANP-ELEMENT-THM)
(STD::DEFLIST-LOCAL-ELEMENTP-OF-NIL-THM)
(SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-P|)
(SYNDEF::|BOOLEANP-OFSET[SEQUENCE[SEQUENCE[acid]]]-P|
 (6 2 (:DEFINITION SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-P|))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (2 2 (:TYPE-PRESCRIPTION FAST-<<))
 )
(SYNDEF::|SETP-WHEN-SET[SEQUENCE[SEQUENCE[acid]]]-P|)
(SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-HEAD-WHEN-SET[SEQUENCE[SEQUENCE[acid]]]-P|
 (149 3 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-NOT-CONSP|))
 (122 6 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (102 3 (:DEFINITION ALISTP))
 (53 6 (:REWRITE ALISTP-WHEN-ATOM))
 (38 16 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (38 16 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (30 30 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (30 30 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (25 1 (:REWRITE FAST-<<-IS-<<))
 (21 21 (:TYPE-PRESCRIPTION ALISTP))
 (19 5 (:REWRITE <<-TRICHOTOMY))
 (17 3 (:REWRITE <<-ASYMMETRIC))
 (14 8 (:REWRITE DEFAULT-CAR))
 (14 3 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|))
 (12 12 (:TYPE-PRESCRIPTION <<))
 (12 6 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (12 6 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (12 4 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (12 4 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (12 4 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (11 11 (:TYPE-PRESCRIPTION SET::SFIX$INLINE))
 (8 8 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 (7 7 (:REWRITE DEFAULT-CDR))
 (6 6 (:TYPE-PRESCRIPTION SYNDEF::|seq2-P|))
 (6 6 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (6 6 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (6 3 (:REWRITE ALISTP-OF-CDR))
 (5 5 (:REWRITE <<-TRANSITIVE))
 (5 3 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 (4 1 (:REWRITE SET::SFIX-WHEN-EMPTYP))
 (2 2 (:TYPE-PRESCRIPTION FAST-<<))
 (2 1 (:DEFINITION SET::EMPTYP$INLINE))
 (1 1 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 )
(SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-P-OF-TAIL-WHEN-SET[SEQUENCE[SEQUENCE[acid]]]-P|
 (246 3 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-NOT-CONSP|))
 (219 9 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (194 5 (:DEFINITION ALISTP))
 (93 10 (:REWRITE ALISTP-WHEN-ATOM))
 (61 25 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (61 25 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (57 15 (:REWRITE <<-TRICHOTOMY))
 (54 54 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (54 54 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (51 9 (:REWRITE <<-ASYMMETRIC))
 (41 7 (:REWRITE ALISTP-OF-CDR))
 (34 34 (:TYPE-PRESCRIPTION ALISTP))
 (28 10 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (28 10 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (28 10 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (26 20 (:REWRITE DEFAULT-CDR))
 (25 25 (:TYPE-PRESCRIPTION SET::SFIX$INLINE))
 (22 3 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|))
 (20 10 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (18 9 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (15 15 (:REWRITE DEFAULT-CAR))
 (15 15 (:REWRITE <<-TRANSITIVE))
 (10 10 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (10 4 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 (10 1 (:REWRITE SYNDEF::|seq2-P-OF-CDR-WHEN-seq2-P|))
 (9 9 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (9 3 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (4 4 (:TYPE-PRESCRIPTION FAST-<<))
 (3 1 (:REWRITE SET::SFIX-WHEN-EMPTYP))
 (2 2 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 )
(SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-P-OF-INSERT|
 (1325 25 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-NOT-CONSP|))
 (1100 50 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (950 27 (:DEFINITION ALISTP))
 (409 54 (:REWRITE ALISTP-WHEN-ATOM))
 (316 10 (:REWRITE SET::INSERT-WHEN-EMPTYP))
 (299 35 (:REWRITE SET::SFIX-WHEN-EMPTYP))
 (291 27 (:REWRITE SET::HEAD-WHEN-EMPTYP))
 (268 35 (:REWRITE ALISTP-OF-CDR))
 (266 8 (:REWRITE SET::TAIL-WHEN-EMPTYP))
 (258 100 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (258 100 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (230 230 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (230 230 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (198 164 (:REWRITE <<-TRANSITIVE))
 (185 185 (:TYPE-PRESCRIPTION ALISTP))
 (147 132 (:REWRITE DEFAULT-CAR))
 (147 127 (:REWRITE DEFAULT-CDR))
 (108 54 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (108 36 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (108 36 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (108 36 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (108 19 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|))
 (100 50 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (93 93 (:TYPE-PRESCRIPTION SET::SFIX$INLINE))
 (90 18 (:REWRITE SET::INSERT-IDENTITY))
 (54 54 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (54 54 (:TYPE-PRESCRIPTION SET::IN-TYPE))
 (50 50 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (48 12 (:REWRITE SYNDEF::|SETP-WHEN-SET[simple-test]-P|))
 (48 12 (:REWRITE SYNDEF::SETP-WHEN-SET[STRING]-P))
 (48 12 (:REWRITE SYNDEF::SETP-WHEN-SET[CHARACTER]-P))
 (36 18 (:REWRITE SET::IN-TAIL))
 (36 12 (:REWRITE SYNDEF::SETP-WHEN-SET[SET[STRING]]-P))
 (36 12 (:REWRITE SYNDEF::SETP-WHEN-SET[SEQUENCE[BOOL]]-P))
 (36 12 (:REWRITE SYNDEF::SETP-WHEN-SET[OPTION[SET[BOOL]]]-P))
 (36 12 (:REWRITE SYNDEF::SETP-WHEN-SET[OPTION[BOOL]]-P))
 (36 12 (:REWRITE SYNDEF::SETP-WHEN-SET[MAP[CHARACTER->INT]]-P))
 (36 12 (:REWRITE SYNDEF::SETP-WHEN-SET[INT]-P))
 (36 12 (:REWRITE SYNDEF::SETP-WHEN-SET[BOOL]-P))
 (36 12 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (32 12 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (27 27 (:REWRITE SET::IN-TAIL-OR-HEAD))
 (27 23 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 (24 24 (:TYPE-PRESCRIPTION SYNDEF::|SET[simple-test]-P|))
 (24 24 (:TYPE-PRESCRIPTION SYNDEF::SET[STRING]-P))
 (24 24 (:TYPE-PRESCRIPTION SYNDEF::SET[SET[STRING]]-P))
 (24 24 (:TYPE-PRESCRIPTION SYNDEF::SET[SEQUENCE[BOOL]]-P))
 (24 24 (:TYPE-PRESCRIPTION SYNDEF::SET[OPTION[SET[BOOL]]]-P))
 (24 24 (:TYPE-PRESCRIPTION SYNDEF::SET[OPTION[BOOL]]-P))
 (24 24 (:TYPE-PRESCRIPTION SYNDEF::SET[MAP[CHARACTER->INT]]-P))
 (24 24 (:TYPE-PRESCRIPTION SYNDEF::SET[INT]-P))
 (24 24 (:TYPE-PRESCRIPTION SYNDEF::SET[CHARACTER]-P))
 (24 24 (:TYPE-PRESCRIPTION SYNDEF::SET[BOOL]-P))
 (16 4 (:REWRITE SYNDEF::|seq2-P-OF-CDR-WHEN-seq2-P|))
 (12 12 (:REWRITE SYNDEF::|SET[simple-test]-P-WHEN-ASSOC-MAP[SET[simple-test]->simple-test]-P-BINDS-FREE-X|))
 (12 12 (:REWRITE SYNDEF::SET[STRING]-P-WHEN-IN-SET[SET[STRING]]-P-BINDS-FREE-X))
 (12 12 (:REWRITE SYNDEF::SET[CHARACTER]-P-WHEN-ASSOC-MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]-P-BINDS-FREE-X))
 (12 12 (:REWRITE SET::IN-SET))
 (1 1 (:REWRITE <<-IRREFLEXIVE))
 )
(SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-IN-SET[SEQUENCE[SEQUENCE[acid]]]-P-BINDS-FREE-X|
 (149 3 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-NOT-CONSP|))
 (122 6 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (102 3 (:DEFINITION ALISTP))
 (53 6 (:REWRITE ALISTP-WHEN-ATOM))
 (38 16 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (38 16 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (32 32 (:TYPE-PRESCRIPTION SET::SFIX$INLINE))
 (30 30 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (30 30 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (25 1 (:REWRITE FAST-<<-IS-<<))
 (21 21 (:TYPE-PRESCRIPTION ALISTP))
 (19 5 (:REWRITE <<-TRICHOTOMY))
 (17 3 (:REWRITE <<-ASYMMETRIC))
 (14 8 (:REWRITE DEFAULT-CAR))
 (14 3 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|))
 (12 12 (:TYPE-PRESCRIPTION <<))
 (12 6 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (12 6 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (12 4 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (12 4 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (12 4 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (8 8 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 (7 7 (:REWRITE DEFAULT-CDR))
 (6 6 (:TYPE-PRESCRIPTION SYNDEF::|seq2-P|))
 (6 6 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (6 6 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (6 3 (:REWRITE ALISTP-OF-CDR))
 (5 5 (:REWRITE <<-TRANSITIVE))
 (5 3 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 (3 3 (:TYPE-PRESCRIPTION FAST-<<))
 (1 1 (:REWRITE SET::SFIX-WHEN-EMPTYP))
 )
(SYNDEF::|NOT-IN-SET[SEQUENCE[SEQUENCE[acid]]]-P-WHEN-NOT-SEQUENCE[SEQUENCE[acid]]-P|
 (4 1 (:DEFINITION SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-P|))
 (1 1 (:TYPE-PRESCRIPTION FAST-<<))
 )
(SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-P-OF-UNION|
 (418 418 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-IN-SET[SEQUENCE[SEQUENCE[acid]]]-P-BINDS-FREE-X|))
 (36 36 (:TYPE-PRESCRIPTION SET::INSERT))
 )
(SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-P-OF-INTERSECT|
 (517 11 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-NOT-CONSP|))
 (418 22 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (352 11 (:DEFINITION ALISTP))
 (202 53 (:REWRITE <<-TRICHOTOMY))
 (187 22 (:REWRITE ALISTP-WHEN-ATOM))
 (176 31 (:REWRITE <<-ASYMMETRIC))
 (143 55 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (143 55 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (132 132 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (132 132 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
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 (78 6 (:REWRITE SET::INSERT-IDENTITY))
 (77 77 (:TYPE-PRESCRIPTION ALISTP))
 (66 22 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (66 22 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (66 22 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (66 6 (:REWRITE SET::INTERSECT-IN))
 (64 34 (:REWRITE SET::TAIL-WHEN-EMPTYP))
 (55 55 (:REWRITE DEFAULT-CDR))
 (54 18 (:REWRITE SET::INTERSECT-EMPTYP-Y))
 (54 18 (:REWRITE SET::INTERSECT-EMPTYP-X))
 (53 53 (:REWRITE <<-TRANSITIVE))
 (44 44 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 (44 44 (:REWRITE DEFAULT-CAR))
 (44 22 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (44 22 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (44 11 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|))
 (34 34 (:TYPE-PRESCRIPTION SET::SFIX$INLINE))
 (27 9 (:REWRITE SET::NEVER-IN-EMPTY))
 (22 22 (:TYPE-PRESCRIPTION SYNDEF::|seq2-P|))
 (22 22 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (22 22 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (22 11 (:REWRITE ALISTP-OF-CDR))
 (18 6 (:REWRITE SET::INSERT-WHEN-EMPTYP))
 (15 15 (:REWRITE SET::IN-TAIL-OR-HEAD))
 (15 15 (:REWRITE SET::HEAD-WHEN-EMPTYP))
 (15 9 (:REWRITE SET::SFIX-WHEN-EMPTYP))
 (11 11 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 (6 6 (:REWRITE SET::HEAD-UNIQUE))
 )
(SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-P-OF-DIFFERENCE|
 (141 3 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-NOT-CONSP|))
 (114 6 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (96 3 (:DEFINITION ALISTP))
 (57 15 (:REWRITE <<-TRICHOTOMY))
 (51 9 (:REWRITE <<-ASYMMETRIC))
 (51 6 (:REWRITE ALISTP-WHEN-ATOM))
 (39 15 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (39 15 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (36 36 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (36 36 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (27 3 (:REWRITE SET::SUBSET-DIFFERENCE))
 (24 6 (:REWRITE SET::IN-TAIL))
 (22 22 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-IN-SET[SEQUENCE[SEQUENCE[acid]]]-P-BINDS-FREE-X|))
 (22 2 (:REWRITE SET::INSERT-WHEN-EMPTYP))
 (21 21 (:TYPE-PRESCRIPTION ALISTP))
 (18 6 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (18 6 (:REWRITE SET::DIFFERENCE-EMPTYP-Y))
 (18 6 (:REWRITE SET::DIFFERENCE-EMPTYP-X))
 (18 6 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (18 6 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (15 15 (:REWRITE DEFAULT-CDR))
 (15 15 (:REWRITE <<-TRANSITIVE))
 (15 9 (:REWRITE SET::TAIL-WHEN-EMPTYP))
 (13 3 (:REWRITE SET::SFIX-WHEN-EMPTYP))
 (12 12 (:TYPE-PRESCRIPTION SET::SFIX$INLINE))
 (12 12 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 (12 12 (:REWRITE DEFAULT-CAR))
 (12 6 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (12 6 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (12 3 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|))
 (9 3 (:REWRITE SET::NEVER-IN-EMPTY))
 (9 3 (:REWRITE SET::EMPTYP-SUBSET-2))
 (9 3 (:REWRITE SET::EMPTYP-SUBSET))
 (8 2 (:REWRITE SET::INSERT-IDENTITY))
 (6 6 (:TYPE-PRESCRIPTION SYNDEF::|seq2-P|))
 (6 6 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (6 6 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (6 3 (:REWRITE ALISTP-OF-CDR))
 (5 5 (:REWRITE SET::IN-TAIL-OR-HEAD))
 (5 5 (:REWRITE SET::HEAD-WHEN-EMPTYP))
 (4 2 (:REWRITE SET::DIFFERENCE-IN))
 (3 3 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 (3 3 (:REWRITE SET::PICK-A-POINT-SUBSET-CONSTRAINT-HELPER))
 (2 2 (:REWRITE SET::HEAD-UNIQUE))
 )
(SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-P-OF-DELETE|
 (141 3 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-NOT-CONSP|))
 (114 6 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (96 3 (:DEFINITION ALISTP))
 (57 15 (:REWRITE <<-TRICHOTOMY))
 (51 9 (:REWRITE <<-ASYMMETRIC))
 (51 6 (:REWRITE ALISTP-WHEN-ATOM))
 (39 15 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (39 15 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (36 36 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (36 36 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (32 4 (:REWRITE SET::DELETE-NONMEMBER-CANCEL))
 (21 21 (:TYPE-PRESCRIPTION ALISTP))
 (18 6 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (18 6 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (18 6 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (15 15 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-IN-SET[SEQUENCE[SEQUENCE[acid]]]-P-BINDS-FREE-X|))
 (15 15 (:REWRITE DEFAULT-CDR))
 (15 15 (:REWRITE <<-TRANSITIVE))
 (14 14 (:TYPE-PRESCRIPTION SET::IN-TYPE))
 (12 12 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 (12 12 (:REWRITE DEFAULT-CAR))
 (12 6 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (12 6 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (12 4 (:REWRITE SET::NEVER-IN-EMPTY))
 (12 3 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|))
 (12 2 (:REWRITE SET::INSERT-WHEN-EMPTYP))
 (11 11 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (11 11 (:TYPE-PRESCRIPTION FAST-<<))
 (9 3 (:REWRITE SET::DELETE-PRESERVES-EMPTYP))
 (8 4 (:REWRITE SET::IN-TAIL))
 (8 2 (:REWRITE SET::INSERT-IDENTITY))
 (6 6 (:TYPE-PRESCRIPTION SYNDEF::|seq2-P|))
 (6 6 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (6 6 (:TYPE-PRESCRIPTION SET::SFIX$INLINE))
 (6 6 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (6 6 (:REWRITE SET::TAIL-WHEN-EMPTYP))
 (6 3 (:REWRITE ALISTP-OF-CDR))
 (6 1 (:REWRITE SET::SFIX-WHEN-EMPTYP))
 (5 5 (:REWRITE SET::IN-TAIL-OR-HEAD))
 (5 5 (:REWRITE SET::HEAD-WHEN-EMPTYP))
 (4 2 (:REWRITE SET::DELETE-IN))
 (3 3 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 (2 2 (:REWRITE SET::HEAD-UNIQUE))
 )
(SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-FIX|
 (1 1 (:TYPE-PRESCRIPTION SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-FIX|))
 )
(SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-P-OF-SET[SEQUENCE[SEQUENCE[acid]]]-FIX|)
(SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-FIX-WHEN-SET[SEQUENCE[SEQUENCE[acid]]]-P|
 (13 13 (:TYPE-PRESCRIPTION SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-FIX|))
 )
(SYNDEF::|EMPTYP-SET[SEQUENCE[SEQUENCE[acid]]]-FIX|
 (4 2 (:REWRITE SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-FIX-WHEN-SET[SEQUENCE[SEQUENCE[acid]]]-P|))
 )
(SYNDEF::|EMPTYP-OF-SET[SEQUENCE[SEQUENCE[acid]]]-FIX|
 (3 1 (:REWRITE SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-FIX-WHEN-SET[SEQUENCE[SEQUENCE[acid]]]-P|))
 )
(FTY::TMP-DEFFIXTYPE-IDEMPOTENT
 (24 24 (:TYPE-PRESCRIPTION SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-FIX|))
 )
(SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-EQUIV$INLINE|
 (4 4 (:TYPE-PRESCRIPTION SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-FIX|))
 )
(SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-EQUIV-IS-AN-EQUIVALENCE|)
(SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-EQUIV-IMPLIES-EQUAL-SET[SEQUENCE[SEQUENCE[acid]]]-FIX-1|)
(SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-FIX-UNDER-SET[SEQUENCE[SEQUENCE[acid]]]-EQUIV|)
(SYNDEF::|EQUAL-OF-SET[SEQUENCE[SEQUENCE[acid]]]-FIX-1-FORWARD-TO-SET[SEQUENCE[SEQUENCE[acid]]]-EQUIV|)
(SYNDEF::|EQUAL-OF-SET[SEQUENCE[SEQUENCE[acid]]]-FIX-2-FORWARD-TO-SET[SEQUENCE[SEQUENCE[acid]]]-EQUIV|)
(SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-EQUIV-OF-SET[SEQUENCE[SEQUENCE[acid]]]-FIX-1-FORWARD|)
(SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-EQUIV-OF-SET[SEQUENCE[SEQUENCE[acid]]]-FIX-2-FORWARD|)
(SYNDEF::|map3-P|)
(SYNDEF::|BOOLEANP-OF-map3-P|
 (8 2 (:DEFINITION SYNDEF::|map3-P|))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-P|))
 (2 2 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (2 2 (:TYPE-PRESCRIPTION FAST-<<))
 )
(SYNDEF::|MAPP-WHEN-map3-P|)
(SYNDEF::|map3-P-OF-TAIL|
 (884 33 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (797 24 (:DEFINITION ALISTP))
 (574 6 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-NOT-CONSP|))
 (359 47 (:REWRITE ALISTP-WHEN-ATOM))
 (197 36 (:REWRITE ALISTP-OF-CDR))
 (145 145 (:TYPE-PRESCRIPTION ALISTP))
 (139 61 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (139 61 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (122 122 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (122 122 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (94 47 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (81 81 (:REWRITE DEFAULT-CAR))
 (70 26 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (70 26 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (70 26 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (66 66 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 (66 33 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (63 18 (:REWRITE <<-TRICHOTOMY))
 (62 62 (:REWRITE DEFAULT-CDR))
 (52 10 (:REWRITE <<-ASYMMETRIC))
 (47 47 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (33 33 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (33 11 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (24 6 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|))
 (21 17 (:REWRITE <<-TRANSITIVE))
 (12 12 (:TYPE-PRESCRIPTION SYNDEF::|seq2-P|))
 (6 6 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 (6 6 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-IN-SET[SEQUENCE[SEQUENCE[acid]]]-P-BINDS-FREE-X|))
 (6 2 (:REWRITE OMAP::MFIX-WHEN-EMPTYP))
 (4 4 (:TYPE-PRESCRIPTION OMAP::EMPTYP))
 (1 1 (:REWRITE <<-IRREFLEXIVE))
 )
(SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-HEAD-KEY-WHEN-map3-P|
 (309 17 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (253 8 (:DEFINITION ALISTP))
 (155 3 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-NOT-CONSP|))
 (131 16 (:REWRITE ALISTP-WHEN-ATOM))
 (81 22 (:REWRITE DEFAULT-CAR))
 (70 30 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (70 30 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (56 56 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (56 56 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (55 55 (:TYPE-PRESCRIPTION ALISTP))
 (34 17 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (32 16 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (31 9 (:REWRITE ALISTP-OF-CDR))
 (25 1 (:REWRITE FAST-<<-IS-<<))
 (24 8 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (24 8 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (24 8 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (19 5 (:REWRITE <<-TRICHOTOMY))
 (18 18 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 (17 17 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (17 3 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|))
 (17 3 (:REWRITE <<-ASYMMETRIC))
 (16 16 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (14 14 (:REWRITE DEFAULT-CDR))
 (12 12 (:TYPE-PRESCRIPTION <<))
 (9 9 (:TYPE-PRESCRIPTION OMAP::MFIX))
 (8 3 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 (6 6 (:TYPE-PRESCRIPTION SYNDEF::|seq2-P|))
 (5 5 (:TYPE-PRESCRIPTION SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-P|))
 (5 5 (:REWRITE <<-TRANSITIVE))
 (4 4 (:TYPE-PRESCRIPTION FAST-<<))
 (3 3 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-IN-SET[SEQUENCE[SEQUENCE[acid]]]-P-BINDS-FREE-X|))
 (3 1 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (1 1 (:REWRITE OMAP::MFIX-WHEN-EMPTYP))
 (1 1 (:REWRITE OMAP::MAPP-NON-NIL-IMPLIES-NOT-EMPTYP))
 )
(SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-P-OF-HEAD-VAL-WHEN-map3-P|
 (329 14 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (286 8 (:DEFINITION ALISTP))
 (167 2 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-NOT-CONSP|))
 (144 16 (:REWRITE ALISTP-WHEN-ATOM))
 (70 17 (:REWRITE DEFAULT-CDR))
 (69 29 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (69 29 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (58 58 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (58 58 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (54 54 (:TYPE-PRESCRIPTION ALISTP))
 (33 10 (:REWRITE ALISTP-OF-CDR))
 (32 16 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (31 25 (:REWRITE DEFAULT-CAR))
 (28 14 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (28 10 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (28 10 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (28 10 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (25 1 (:REWRITE FAST-<<-IS-<<))
 (22 22 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 (19 5 (:REWRITE <<-TRICHOTOMY))
 (17 3 (:REWRITE <<-ASYMMETRIC))
 (16 16 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (14 14 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (12 12 (:TYPE-PRESCRIPTION <<))
 (8 2 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|))
 (6 2 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (5 5 (:REWRITE <<-TRANSITIVE))
 (4 4 (:TYPE-PRESCRIPTION SYNDEF::|seq2-P|))
 (4 4 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (4 4 (:TYPE-PRESCRIPTION FAST-<<))
 (2 2 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 (2 2 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-IN-SET[SEQUENCE[SEQUENCE[acid]]]-P-BINDS-FREE-X|))
 (1 1 (:REWRITE OMAP::MFIX-WHEN-EMPTYP))
 (1 1 (:REWRITE OMAP::MAPP-NON-NIL-IMPLIES-NOT-EMPTYP))
 )
(SYNDEF::|map3-P-OF-UPDATE|
 (9538 336 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (8427 231 (:DEFINITION ALISTP))
 (4959 113 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-NOT-CONSP|))
 (3843 460 (:REWRITE ALISTP-WHEN-ATOM))
 (2151 335 (:REWRITE ALISTP-OF-CDR))
 (1666 698 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (1666 698 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (1462 1462 (:TYPE-PRESCRIPTION ALISTP))
 (1428 1428 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (1428 1428 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (1379 1106 (:REWRITE DEFAULT-CAR))
 (923 796 (:REWRITE DEFAULT-CDR))
 (920 460 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (724 264 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (724 264 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (724 264 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (672 336 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (460 460 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (336 336 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (318 110 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (289 289 (:TYPE-PRESCRIPTION OMAP::EMPTYP))
 (228 51 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|))
 (191 71 (:REWRITE OMAP::MFIX-WHEN-EMPTYP))
 (113 113 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-IN-SET[SEQUENCE[SEQUENCE[acid]]]-P-BINDS-FREE-X|))
 (110 38 (:REWRITE OMAP::TAIL-WHEN-EMPTYP))
 (75 27 (:REWRITE OMAP::UPDATE-WHEN-EMPTYP))
 (51 51 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 (47 24 (:REWRITE OMAP::HEAD-WHEN-EMPTYP-CHEAP))
 (39 12 (:REWRITE SYNDEF::MAPP-WHEN-MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-P))
 (39 12 (:REWRITE SYNDEF::MAPP-WHEN-MAP[CHARACTER->INT]-P))
 (36 12 (:REWRITE OMAP::MAPP-WHEN-NOT-EMPTYP))
 (30 12 (:REWRITE SYNDEF::|MAPP-WHEN-MAP[simple-test->INT]-P|))
 (30 12 (:REWRITE SYNDEF::MAPP-WHEN-MAP[STRING->STRING]-P))
 (30 12 (:REWRITE SYNDEF::MAPP-WHEN-MAP[STRING->CHARACTER]-P))
 (30 12 (:REWRITE SYNDEF::|MAPP-WHEN-MAP[SET[simple-test]->simple-test]-P|))
 (30 12 (:REWRITE SYNDEF::MAPP-WHEN-MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]-P))
 (30 12 (:REWRITE SYNDEF::MAPP-WHEN-MAP[SEQUENCE[INT]->SET[STRING]]-P))
 (30 12 (:REWRITE SYNDEF::MAPP-WHEN-MAP[OPTION[INT]->OPTION[STRING]]-P))
 (30 12 (:REWRITE SYNDEF::MAPP-WHEN-MAP[OPTION[BOOL]->OPTION[BOOL]]-P))
 (30 12 (:REWRITE SYNDEF::MAPP-WHEN-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P))
 (30 12 (:REWRITE SYNDEF::MAPP-WHEN-MAP[INT->BOOL]-P))
 (30 12 (:REWRITE SYNDEF::|MAPP-WHEN-MAP[CHARACTER->simple-test]-P|))
 (30 12 (:REWRITE SYNDEF::MAPP-WHEN-MAP[BOOL->STRING]-P))
 (18 18 (:TYPE-PRESCRIPTION SYNDEF::|MAP[simple-test->INT]-P|))
 (18 18 (:TYPE-PRESCRIPTION SYNDEF::MAP[STRING->STRING]-P))
 (18 18 (:TYPE-PRESCRIPTION SYNDEF::MAP[STRING->CHARACTER]-P))
 (18 18 (:TYPE-PRESCRIPTION SYNDEF::|MAP[SET[simple-test]->simple-test]-P|))
 (18 18 (:TYPE-PRESCRIPTION SYNDEF::MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]-P))
 (18 18 (:TYPE-PRESCRIPTION SYNDEF::MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-P))
 (18 18 (:TYPE-PRESCRIPTION SYNDEF::MAP[SEQUENCE[INT]->SET[STRING]]-P))
 (18 18 (:TYPE-PRESCRIPTION SYNDEF::MAP[OPTION[INT]->OPTION[STRING]]-P))
 (18 18 (:TYPE-PRESCRIPTION SYNDEF::MAP[OPTION[BOOL]->OPTION[BOOL]]-P))
 (18 18 (:TYPE-PRESCRIPTION SYNDEF::MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P))
 (18 18 (:TYPE-PRESCRIPTION SYNDEF::MAP[INT->BOOL]-P))
 (18 18 (:TYPE-PRESCRIPTION SYNDEF::|MAP[CHARACTER->simple-test]-P|))
 (18 18 (:TYPE-PRESCRIPTION SYNDEF::MAP[CHARACTER->INT]-P))
 (18 18 (:TYPE-PRESCRIPTION SYNDEF::MAP[BOOL->STRING]-P))
 (9 9 (:REWRITE SYNDEF::MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]-P-WHEN-ASSOC-MAP[MAP[SEQUENCE[OPTION[BOOL]]->SET[CHARACTER]]->MAP[SET[CHARACTER]->SEQUENCE[OPTION[BOOL]]]]-P-BINDS-FREE-X))
 (9 9 (:REWRITE SYNDEF::MAP[CHARACTER->INT]-P-WHEN-IN-SET[MAP[CHARACTER->INT]]-P-BINDS-FREE-X))
 (1 1 (:REWRITE-QUOTED-CONSTANT TRUE-LIST-LIST-FIX-UNDER-TRUE-LIST-LIST-EQUIV))
 )
(SYNDEF::|map3-P-OF-UPDATE*|
 (402 18 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (330 12 (:DEFINITION ALISTP))
 (168 24 (:REWRITE ALISTP-WHEN-ATOM))
 (141 3 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-NOT-CONSP|))
 (81 81 (:TYPE-PRESCRIPTION ALISTP))
 (81 33 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (81 33 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (72 72 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (72 72 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (69 15 (:REWRITE ALISTP-OF-CDR))
 (57 15 (:REWRITE <<-TRICHOTOMY))
 (51 9 (:REWRITE <<-ASYMMETRIC))
 (48 24 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (39 39 (:REWRITE DEFAULT-CAR))
 (36 18 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (36 12 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (36 12 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (36 12 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (30 30 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 (30 30 (:REWRITE DEFAULT-CDR))
 (24 24 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (18 18 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (15 15 (:REWRITE <<-TRANSITIVE))
 (12 3 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|))
 (9 3 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (6 6 (:TYPE-PRESCRIPTION SYNDEF::|seq2-P|))
 (6 6 (:TYPE-PRESCRIPTION OMAP::MFIX))
 (3 3 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 (3 3 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-IN-SET[SEQUENCE[SEQUENCE[acid]]]-P-BINDS-FREE-X|))
 (3 1 (:REWRITE OMAP::MFIX-WHEN-EMPTYP))
 (2 2 (:TYPE-PRESCRIPTION OMAP::UPDATE*))
 (1 1 (:REWRITE OMAP::MAPP-NON-NIL-IMPLIES-NOT-EMPTYP))
 )
(SYNDEF::|map3-P-OF-DELETE|
 (16 4 (:DEFINITION SYNDEF::|map3-P|))
 (4 4 (:TYPE-PRESCRIPTION FAST-<<))
 )
(SYNDEF::|map3-P-OF-DELETE*|
 (268 12 (:REWRITE CONSP-OF-CAR-WHEN-ALISTP))
 (220 8 (:DEFINITION ALISTP))
 (112 16 (:REWRITE ALISTP-WHEN-ATOM))
 (94 2 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-NOT-CONSP|))
 (54 54 (:TYPE-PRESCRIPTION ALISTP))
 (54 22 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP))
 (54 22 (:REWRITE SYNTHETO::TYPE-REF-CONSTRUCTOR-P-IMPLIES-CONSP))
 (48 48 (:TYPE-PRESCRIPTION SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P))
 (48 48 (:TYPE-PRESCRIPTION SYNTHETO::TYPE-REF-CONSTRUCTOR-P))
 (46 10 (:REWRITE ALISTP-OF-CDR))
 (38 10 (:REWRITE <<-TRICHOTOMY))
 (34 6 (:REWRITE <<-ASYMMETRIC))
 (32 16 (:REWRITE ALISTP-WHEN-PSEUDO-TERM-ALISTP-CHEAP))
 (26 26 (:REWRITE DEFAULT-CAR))
 (24 12 (:REWRITE CONSP-OF-CAR-WHEN-SYMBOL-TERM-ALISTP-CHEAP))
 (24 8 (:REWRITE SYNTHETO::UNARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (24 8 (:REWRITE SYNTHETO::CONSP-CDR-IF-TYPE-REF-CONSTRUCTOR-P))
 (24 8 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDR))
 (20 20 (:TYPE-PRESCRIPTION SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P))
 (20 20 (:REWRITE DEFAULT-CDR))
 (16 16 (:TYPE-PRESCRIPTION PSEUDO-TERM-ALISTP))
 (12 12 (:TYPE-PRESCRIPTION SYMBOL-TERM-ALISTP))
 (10 10 (:REWRITE <<-TRANSITIVE))
 (8 2 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-WHEN-seq2-P|))
 (6 6 (:TYPE-PRESCRIPTION OMAP::MFIX))
 (6 2 (:REWRITE SYNTHETO::BINARY-TYPE-CONSTRUCTOR-P-IMPLIES-CONSP-CDDR))
 (4 4 (:TYPE-PRESCRIPTION SYNDEF::|seq2-P|))
 (3 1 (:REWRITE OMAP::MFIX-WHEN-EMPTYP))
 (2 2 (:TYPE-PRESCRIPTION OMAP::EMPTYP))
 (2 2 (:REWRITE SYNDEF::|seq2-P-WHEN-NOT-CONSP|))
 (2 2 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-IN-SET[SEQUENCE[SEQUENCE[acid]]]-P-BINDS-FREE-X|))
 )
(SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-ASSOC-map3-P-BINDS-FREE-X|
 (4 1 (:DEFINITION SYNDEF::|map3-P|))
 (1 1 (:TYPE-PRESCRIPTION SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-P|))
 (1 1 (:TYPE-PRESCRIPTION FAST-<<))
 )
(SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-OF-CAR-OF-ASSOC-map3-P|
 (20 4 (:DEFINITION SYNDEF::|map3-P|))
 (7 7 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-ASSOC-map3-P-BINDS-FREE-X|))
 (4 4 (:TYPE-PRESCRIPTION SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-P|))
 (4 4 (:TYPE-PRESCRIPTION FAST-<<))
 )
(SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-P-OF-CDR-OF-ASSOC-map3-P|
 (20 4 (:DEFINITION SYNDEF::|map3-P|))
 (4 4 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (4 4 (:TYPE-PRESCRIPTION FAST-<<))
 (4 4 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-ASSOC-map3-P-BINDS-FREE-X|))
 )
(SYNDEF::|SET[SEQUENCE[SEQUENCE[acid]]]-P-OF-LOOKUP-WHEN-map3-P|
 (5 1 (:DEFINITION SYNDEF::|map3-P|))
 (1 1 (:TYPE-PRESCRIPTION SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P|))
 (1 1 (:TYPE-PRESCRIPTION FAST-<<))
 (1 1 (:REWRITE SYNDEF::|SEQUENCE[SEQUENCE[acid]]-P-WHEN-ASSOC-map3-P-BINDS-FREE-X|))
 )
(SYNDEF::|map3-FIX|
 (1 1 (:TYPE-PRESCRIPTION SYNDEF::|map3-FIX|))
 )
(SYNDEF::|map3-P-OF-map3-FIX|)
(SYNDEF::|map3-FIX-WHEN-map3-P|
 (16 16 (:TYPE-PRESCRIPTION SYNDEF::|map3-FIX|))
 )
(SYNDEF::|EMPTYP-map3-FIX|
 (4 2 (:REWRITE SYNDEF::|map3-FIX-WHEN-map3-P|))
 )
(SYNDEF::|EMPTYP-OF-map3-FIX-TO-NOT-map3-OR-EMPTYP|
 (8 8 (:TYPE-PRESCRIPTION SYNDEF::|map3-FIX|))
 (3 1 (:REWRITE SYNDEF::|map3-FIX-WHEN-map3-P|))
 )
(FTY::TMP-DEFFIXTYPE-IDEMPOTENT
 (24 24 (:TYPE-PRESCRIPTION SYNDEF::|map3-FIX|))
 )
(SYNDEF::|map3-EQUIV$INLINE|
 (4 4 (:TYPE-PRESCRIPTION SYNDEF::|map3-FIX|))
 )
(SYNDEF::|map3-EQUIV-IS-AN-EQUIVALENCE|)
(SYNDEF::|map3-EQUIV-IMPLIES-EQUAL-map3-FIX-1|)
(SYNDEF::|map3-FIX-UNDER-map3-EQUIV|)
(SYNDEF::|EQUAL-OF-map3-FIX-1-FORWARD-TO-map3-EQUIV|)
(SYNDEF::|EQUAL-OF-map3-FIX-2-FORWARD-TO-map3-EQUIV|)
(SYNDEF::|map3-EQUIV-OF-map3-FIX-1-FORWARD|)
(SYNDEF::|map3-EQUIV-OF-map3-FIX-2-FORWARD|)
