(TRUE-LIST-OF-VARIABLES)
(TRUE-LIST-OF-VARIABLES-APPEND
 (19 16 (:REWRITE DEFAULT-CAR))
 (18 9 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (16 13 (:REWRITE DEFAULT-CDR))
 (9 9 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (9 9 (:TYPE-PRESCRIPTION BINARY-APPEND))
 )
(TRUE-LIST-OF-VARIABLES-VARIABLES
 (15 3 (:DEFINITION BINARY-APPEND))
 (14 14 (:REWRITE DEFAULT-CDR))
 (12 12 (:REWRITE DEFAULT-CAR))
 )
(TRUE-LIST-OF-EQLABLEP)
(TRUE-LIST-OF-EQLABLEP-APPEND
 (19 16 (:REWRITE DEFAULT-CAR))
 (18 9 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (16 13 (:REWRITE DEFAULT-CDR))
 (9 9 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (9 9 (:TYPE-PRESCRIPTION BINARY-APPEND))
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(TRUE-LIST-OF-EQLABLEP-VARIABLES
 (28 28 (:REWRITE DEFAULT-CDR))
 (20 20 (:REWRITE DEFAULT-CAR))
 (20 4 (:DEFINITION LEN))
 (15 3 (:DEFINITION BINARY-APPEND))
 (8 4 (:REWRITE DEFAULT-+-2))
 (4 4 (:TYPE-PRESCRIPTION LEN))
 (4 4 (:REWRITE DEFAULT-+-1))
 )
(DOMAIN-VAR)
(DOMAIN-VAR-MAIN-PROPERTY
 (158 118 (:REWRITE DEFAULT-CAR))
 (144 16 (:REWRITE ASSOC-MEMBER-DOMAIN))
 (102 63 (:REWRITE DEFAULT-CDR))
 (96 16 (:DEFINITION ALISTP))
 (80 80 (:TYPE-PRESCRIPTION ALISTP))
 (30 30 (:REWRITE CONSP-DOMAIN))
 (26 26 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (26 26 (:META CANCEL_PLUS-EQUAL-CORRECT))
 )
(TRUE-LIST-OF-VARIABLES-DOMAIN-VAR
 (25 24 (:REWRITE DEFAULT-CAR))
 (11 10 (:REWRITE DEFAULT-CDR))
 )
(TRUE-LIST-OF-EQLABLEP-DOMAIN-VAR
 (52 51 (:REWRITE DEFAULT-CAR))
 (40 4 (:DEFINITION TERM-S-P-AUX))
 (28 27 (:REWRITE DEFAULT-CDR))
 (20 4 (:DEFINITION LEN))
 (8 4 (:REWRITE DEFAULT-+-2))
 (4 4 (:TYPE-PRESCRIPTION LEN))
 (4 4 (:REWRITE SYSTEM-S-P-TERM-P-AUX-ARGUMENTS))
 (4 4 (:REWRITE DEFAULT-+-1))
 )
(CO-DOMAIN-VAR)
(TERM-S-P-AUX-CO-DOMAIN-VAR
 (49 48 (:REWRITE DEFAULT-CAR))
 (31 30 (:REWRITE DEFAULT-CDR))
 (20 4 (:DEFINITION LEN))
 (8 4 (:REWRITE DEFAULT-+-2))
 (4 4 (:TYPE-PRESCRIPTION LEN))
 (4 4 (:REWRITE SYSTEM-S-P-TERM-P-AUX-ARGUMENTS))
 (4 4 (:REWRITE DEFAULT-+-1))
 )
(IMPORTANT-VARIABLES)
(SUBS-SUBST-MV)
(SUBS-SUBST)
(MATCHING-SUBST)
(MATCHING-SUBST-R)
(SUBS-SUBST-MAIN-PROPERTY-VARIABLE-X-NOT-IN-V
 (260 1 (:REWRITE SUBSETP-RESTRICTION))
 (244 5 (:DEFINITION SUBSETP-EQUAL))
 (172 121 (:REWRITE DEFAULT-CAR))
 (129 89 (:REWRITE DEFAULT-CDR))
 (119 2 (:REWRITE SUBSETP-APPEND-2))
 (115 1 (:DEFINITION RESTRICTION))
 (101 11 (:REWRITE ASSOC-MEMBER-DOMAIN))
 (88 2 (:REWRITE SUBSETP-APPEND-3))
 (84 28 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (80 2 (:DEFINITION PAIR-ARGS))
 (68 11 (:DEFINITION ALISTP))
 (60 12 (:DEFINITION BINARY-APPEND))
 (55 55 (:TYPE-PRESCRIPTION ALISTP))
 (50 1 (:DEFINITION VAL))
 (44 44 (:TYPE-PRESCRIPTION DOMAIN-VAR))
 (41 5 (:DEFINITION VARIABLES))
 (28 28 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (28 4 (:DEFINITION CO-DOMAIN-VAR))
 (26 12 (:REWRITE APPLY-CONSP-IS-CONSP-LIST-OF-TERMS))
 (19 19 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (19 19 (:META CANCEL_PLUS-EQUAL-CORRECT))
 (18 18 (:TYPE-PRESCRIPTION PAIR-ARGS))
 (8 8 (:TYPE-PRESCRIPTION CO-DOMAIN-VAR))
 (5 5 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (5 5 (:REWRITE SUBSETP-TRANSITIVE))
 (5 5 (:REWRITE CAR-CONS))
 (1 1 (:REWRITE MATCH-MV-COMPLETENESS))
 )
(PAIR-ARGS-SUCCESS
 (99 55 (:REWRITE DEFAULT-CAR))
 (59 39 (:REWRITE DEFAULT-CDR))
 (32 4 (:DEFINITION VAL))
 (30 30 (:REWRITE APPLY-CONSP-IS-CONSP-LIST-OF-TERMS))
 (9 9 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (9 9 (:META CANCEL_PLUS-EQUAL-CORRECT))
 )
(APPLY-NIL-APPLY-T
 (128 16 (:DEFINITION VAL))
 (96 96 (:REWRITE DEFAULT-CAR))
 (62 62 (:REWRITE DEFAULT-CDR))
 (38 38 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (38 38 (:META CANCEL_PLUS-EQUAL-CORRECT))
 )
(APPLY-SUBST-FROM-MATCHERS-TO-LISTS-OF-TERMS
 (85 62 (:REWRITE DEFAULT-CAR))
 (49 38 (:REWRITE DEFAULT-CDR))
 (40 5 (:DEFINITION VAL))
 (13 13 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (13 13 (:META CANCEL_PLUS-EQUAL-CORRECT))
 )
(MATCHING-SUBST-COMPOSED-SIGMA-COINCIDE-WITH-DELTA-IN-V
 (363 11 (:DEFINITION PAIR-ARGS))
 (222 134 (:REWRITE DEFAULT-CAR))
 (159 108 (:REWRITE DEFAULT-CDR))
 (108 12 (:DEFINITION VAL))
 (85 72 (:REWRITE APPLY-CONSP-IS-CONSP-LIST-OF-TERMS))
 (38 2 (:DEFINITION COMPOSITION))
 (31 31 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (31 31 (:META CANCEL_PLUS-EQUAL-CORRECT))
 (28 1 (:DEFINITION MATCHER))
 (3 3 (:REWRITE MATCH-MV-COMPLETENESS))
 )
(VARIABLES-CO-DOMAIN-VAR
 (140 115 (:REWRITE DEFAULT-CAR))
 (111 86 (:REWRITE DEFAULT-CDR))
 (90 10 (:REWRITE ASSOC-MEMBER-DOMAIN))
 (80 5 (:DEFINITION SUBSETP-EQUAL))
 (70 14 (:DEFINITION BINARY-APPEND))
 (60 10 (:DEFINITION ALISTP))
 (50 50 (:TYPE-PRESCRIPTION ALISTP))
 (18 18 (:REWRITE CONSP-DOMAIN))
 (16 16 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (16 16 (:META CANCEL_PLUS-EQUAL-CORRECT))
 )
(SUBS-SUBST-MAIN-PROPERTY-VARIABLE-X-IN-DOMAIN-VAR-SIGMA
 (112 2 (:REWRITE SUBSETP-APPEND-3))
 (104 2 (:DEFINITION SUBSETP-EQUAL))
 (72 57 (:REWRITE DEFAULT-CAR))
 (59 44 (:REWRITE DEFAULT-CDR))
 (37 5 (:REWRITE ASSOC-MEMBER-DOMAIN))
 (32 4 (:DEFINITION VAL))
 (30 6 (:DEFINITION BINARY-APPEND))
 (26 1 (:DEFINITION RESTRICTION))
 (24 4 (:DEFINITION ALISTP))
 (22 3 (:DEFINITION VARIABLES))
 (20 20 (:TYPE-PRESCRIPTION ALISTP))
 (14 2 (:DEFINITION CO-DOMAIN-VAR))
 (12 12 (:TYPE-PRESCRIPTION VARIABLES))
 (12 4 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (9 9 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (9 9 (:META CANCEL_PLUS-EQUAL-CORRECT))
 (6 6 (:REWRITE SUBSETP-TRANSITIVE))
 (4 4 (:TYPE-PRESCRIPTION CO-DOMAIN-VAR))
 (4 4 (:TYPE-PRESCRIPTION BINARY-APPEND))
 )
(SUBSUMPTION-SUBST-MAIN-PROPERTY-VARIABLE-IN-V-NOT-IN-DOMAIN-VAR-SIGMA-LEMMA
 (288 6 (:DEFINITION VAL))
 (229 169 (:REWRITE DEFAULT-CAR))
 (212 2 (:DEFINITION RESTRICTION))
 (182 122 (:REWRITE DEFAULT-CDR))
 (180 20 (:REWRITE ASSOC-MEMBER-DOMAIN))
 (120 20 (:DEFINITION ALISTP))
 (100 100 (:TYPE-PRESCRIPTION ALISTP))
 (50 10 (:DEFINITION BINARY-APPEND))
 (28 28 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (28 28 (:META CANCEL_PLUS-EQUAL-CORRECT))
 (28 4 (:DEFINITION CO-DOMAIN-VAR))
 (24 8 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (15 15 (:REWRITE SUBSETP-TRANSITIVE))
 (8 8 (:TYPE-PRESCRIPTION CO-DOMAIN-VAR))
 (8 8 (:TYPE-PRESCRIPTION BINARY-APPEND))
 )
(SUBS-SUBST-MAIN-PROPERTY-VARIABLE-X-IN-V-NOT-IN-DOMAIN-VAR-SIGMA
 (32 4 (:DEFINITION VAL))
 (29 23 (:REWRITE DEFAULT-CAR))
 (22 16 (:REWRITE DEFAULT-CDR))
 (18 2 (:REWRITE ASSOC-MEMBER-DOMAIN))
 (12 2 (:DEFINITION ALISTP))
 (10 10 (:TYPE-PRESCRIPTION ALISTP))
 (7 7 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (7 7 (:META CANCEL_PLUS-EQUAL-CORRECT))
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(EQUAL-COMPOSITION-MATCHING-SUBST-WITH-SIGMA-TO-DELTA-VARIABLE
 (123 96 (:REWRITE DEFAULT-CAR))
 (96 12 (:DEFINITION VAL))
 (92 65 (:REWRITE DEFAULT-CDR))
 (67 2 (:REWRITE SUBSUMPTION-SUBST-MAIN-PROPERTY-VARIABLE-IN-V-NOT-IN-DOMAIN-VAR-SIGMA-LEMMA))
 (51 3 (:DEFINITION COMPOSITION))
 (49 9 (:REWRITE ASSOC-MEMBER-DOMAIN))
 (33 3 (:DEFINITION APPLY-SUBST))
 (30 5 (:DEFINITION ALISTP))
 (25 25 (:TYPE-PRESCRIPTION ALISTP))
 (23 23 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (23 23 (:META CANCEL_PLUS-EQUAL-CORRECT))
 )
(EQUAL-COMPOSITION-SUBS-SUBST-WITH-SIGMA-TO-DELTA
 (102 6 (:DEFINITION COMPOSITION))
 (96 12 (:DEFINITION VAL))
 (70 70 (:REWRITE DEFAULT-CAR))
 (50 50 (:REWRITE DEFAULT-CDR))
 (17 17 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (17 17 (:META CANCEL_PLUS-EQUAL-CORRECT))
 )
(SUBS-SUBST-SOUNDNESS)
(SUBS-SUBST-IMPLIES-MATCHING-SUBST-R-APPPLIED-TO-SIGMA-TERM-IS-DELTA-TERM
 (53 4 (:DEFINITION APPLY-SUBST))
 (32 4 (:DEFINITION VAL))
 (22 22 (:REWRITE DEFAULT-CAR))
 (17 17 (:REWRITE DEFAULT-CDR))
 (17 1 (:DEFINITION COMPOSITION))
 (4 4 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (4 4 (:META CANCEL_PLUS-EQUAL-CORRECT))
 (3 1 (:REWRITE APPLY-RETURNS-VARIABLE-IMPLIES-VARIABLE))
 (2 2 (:TYPE-PRESCRIPTION VARIABLE-P))
 )
(SUBS-SUBST-MAIN-PROPERTY
 (55 5 (:DEFINITION APPLY-SUBST))
 (40 5 (:DEFINITION VAL))
 (20 20 (:REWRITE DEFAULT-CAR))
 (15 15 (:REWRITE DEFAULT-CDR))
 (5 5 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (5 5 (:META CANCEL_PLUS-EQUAL-CORRECT))
 )
(SIGMA-W)
(DELTA-W)
(GAMMA-W)
(SIGMA-W-DELTA-W-SUBSUMPTION-HYPOTHESIS)
(SIGMA-W-DELTA-W-SUBSUMPTION-HYPOTHESIS-REWRITE-RULE
 (47 4 (:DEFINITION APPLY-SUBST))
 (32 4 (:DEFINITION VAL))
 (19 19 (:REWRITE DEFAULT-CAR))
 (17 1 (:DEFINITION COMPOSITION))
 (14 14 (:REWRITE DEFAULT-CDR))
 (4 4 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (4 4 (:META CANCEL_PLUS-EQUAL-CORRECT))
 (3 1 (:REWRITE APPLY-RETURNS-VARIABLE-IMPLIES-VARIABLE))
 (2 2 (:TYPE-PRESCRIPTION VARIABLE-P))
 )
(GAMMA-W-MATCHER
 (300 194 (:REWRITE DEFAULT-CAR))
 (185 141 (:REWRITE DEFAULT-CDR))
 (128 16 (:DEFINITION VAL))
 (78 78 (:REWRITE APPLY-CONSP-IS-CONSP-LIST-OF-TERMS))
 (38 38 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (38 38 (:META CANCEL_PLUS-EQUAL-CORRECT))
 )
(SUBS-SUBST-COMPLETENESS
 (56 2 (:DEFINITION PAIR-ARGS))
 (33 16 (:REWRITE DEFAULT-CAR))
 (20 12 (:REWRITE DEFAULT-CDR))
 (20 4 (:DEFINITION APPLY-SUBST))
 (18 18 (:TYPE-PRESCRIPTION PAIR-ARGS))
 (14 12 (:REWRITE APPLY-CONSP-IS-CONSP-LIST-OF-TERMS))
 (12 12 (:TYPE-PRESCRIPTION IMPORTANT-VARIABLES))
 (2 2 (:REWRITE MATCH-MV-COMPLETENESS))
 (2 2 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (2 2 (:META CANCEL_PLUS-EQUAL-CORRECT))
 )
(SUBSTITUTION-S-P--APPLY-SUBST-NIL-TERM-S-P-AUX
 (126 7 (:DEFINITION SUBSTITUTION-S-P))
 (84 8 (:REWRITE APPLY-SUBST-TERM-S-P-AUX))
 (73 67 (:REWRITE DEFAULT-CAR))
 (63 57 (:REWRITE DEFAULT-CDR))
 (35 7 (:DEFINITION LEN))
 (18 18 (:REWRITE APPLY-CONSP-IS-CONSP-LIST-OF-TERMS))
 (16 2 (:DEFINITION VAL))
 (14 7 (:REWRITE DEFAULT-+-2))
 (11 11 (:REWRITE SYSTEM-S-P-TERM-P-AUX-ARGUMENTS))
 (7 7 (:TYPE-PRESCRIPTION LEN))
 (7 7 (:REWRITE DEFAULT-+-1))
 (2 2 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (2 2 (:META CANCEL_PLUS-EQUAL-CORRECT))
 )
(PAIR-ARGS-SYSTEM-P
 (20 1 (:DEFINITION PAIR-ARGS))
 (12 7 (:REWRITE DEFAULT-CAR))
 (9 9 (:TYPE-PRESCRIPTION PAIR-ARGS))
 (8 2 (:DEFINITION TERM-S-P-AUX))
 (7 1 (:REWRITE MV-NTH-1-SECOND))
 (6 5 (:REWRITE DEFAULT-CDR))
 (3 1 (:REWRITE MV-NTH-0-FIRST))
 (1 1 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (1 1 (:META CANCEL_PLUS-EQUAL-CORRECT))
 )
(MATCHING-SUBST-SUBSTITUTION-S-P
 (40 1 (:DEFINITION PAIR-ARGS))
 (36 12 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (36 2 (:DEFINITION SUBSTITUTION-S-P))
 (34 2 (:DEFINITION APPLY-SUBST))
 (33 25 (:REWRITE DEFAULT-CAR))
 (25 22 (:REWRITE DEFAULT-CDR))
 (20 2 (:DEFINITION TERM-S-P-AUX))
 (16 16 (:TYPE-PRESCRIPTION DOMAIN-VAR))
 (15 3 (:DEFINITION BINARY-APPEND))
 (13 6 (:REWRITE APPLY-CONSP-IS-CONSP-LIST-OF-TERMS))
 (12 12 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (10 2 (:DEFINITION LEN))
 (10 1 (:DEFINITION VARIABLES))
 (9 9 (:TYPE-PRESCRIPTION PAIR-ARGS))
 (8 8 (:TYPE-PRESCRIPTION VARIABLES))
 (7 1 (:REWRITE MV-NTH-1-SECOND))
 (7 1 (:DEFINITION CO-DOMAIN-VAR))
 (4 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:TYPE-PRESCRIPTION LEN))
 (2 2 (:TYPE-PRESCRIPTION CO-DOMAIN-VAR))
 (2 2 (:REWRITE SYSTEM-S-P-TERM-P-AUX-ARGUMENTS))
 (2 2 (:REWRITE DEFAULT-+-1))
 (1 1 (:TYPE-PRESCRIPTION MATCH-MV))
 (1 1 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (1 1 (:META CANCEL_PLUS-EQUAL-CORRECT))
 )
(RESTRICTION-SUBSTITUTION-S-P
 (80 8 (:DEFINITION TERM-S-P-AUX))
 (63 63 (:REWRITE DEFAULT-CAR))
 (52 52 (:REWRITE DEFAULT-CDR))
 (40 8 (:DEFINITION LEN))
 (24 3 (:DEFINITION VAL))
 (16 8 (:REWRITE DEFAULT-+-2))
 (8 8 (:TYPE-PRESCRIPTION TERM-S-P-AUX))
 (8 8 (:TYPE-PRESCRIPTION LEN))
 (8 8 (:REWRITE SYSTEM-S-P-TERM-P-AUX-ARGUMENTS))
 (8 8 (:REWRITE DEFAULT-+-1))
 (3 3 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (3 3 (:META CANCEL_PLUS-EQUAL-CORRECT))
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(MATCHING-SUBST-R-SUBSTITUTION-S-P
 (48 16 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (45 37 (:REWRITE DEFAULT-CAR))
 (40 1 (:DEFINITION PAIR-ARGS))
 (36 2 (:DEFINITION SUBSTITUTION-S-P))
 (35 32 (:REWRITE DEFAULT-CDR))
 (34 2 (:DEFINITION APPLY-SUBST))
 (30 6 (:DEFINITION BINARY-APPEND))
 (28 1 (:DEFINITION RESTRICTION))
 (24 24 (:TYPE-PRESCRIPTION DOMAIN-VAR))
 (20 2 (:DEFINITION VARIABLES))
 (20 2 (:DEFINITION TERM-S-P-AUX))
 (16 16 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (14 2 (:DEFINITION CO-DOMAIN-VAR))
 (13 6 (:REWRITE APPLY-CONSP-IS-CONSP-LIST-OF-TERMS))
 (12 12 (:TYPE-PRESCRIPTION VARIABLES))
 (10 2 (:DEFINITION LEN))
 (10 1 (:DEFINITION VAL))
 (9 9 (:TYPE-PRESCRIPTION PAIR-ARGS))
 (7 1 (:REWRITE MV-NTH-1-SECOND))
 (4 4 (:TYPE-PRESCRIPTION CO-DOMAIN-VAR))
 (4 2 (:REWRITE DEFAULT-+-2))
 (3 3 (:TYPE-PRESCRIPTION MATCH-MV))
 (2 2 (:TYPE-PRESCRIPTION LEN))
 (2 2 (:REWRITE SYSTEM-S-P-TERM-P-AUX-ARGUMENTS))
 (2 2 (:REWRITE DEFAULT-+-1))
 (2 2 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (2 2 (:META CANCEL_PLUS-EQUAL-CORRECT))
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(SIGMA-W-S)
(DELTA-W-S)
(GAMMA-W-S)
(SIGMA-W-S-SUBSTITUTION-S-P)
(DELTA-W-S-SUBSTITUTION-S-P)
(GAMMA-W-S-SUBSTITUTION-S-P)
(SIGMA-W-S-DELTA-W-S-SUBSUMPTION-HYPOTHESIS)
(SIGMA-W-S-DELTA-W-S-SUBSUMPTION-HYPOTHESIS-REWRITE-RULE
 (32 4 (:DEFINITION VAL))
 (17 17 (:REWRITE DEFAULT-CAR))
 (17 1 (:DEFINITION COMPOSITION))
 (12 12 (:REWRITE DEFAULT-CDR))
 (4 4 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (4 4 (:META CANCEL_PLUS-EQUAL-CORRECT))
 )
(GAMMA-W-S-MATCHER
 (472 302 (:REWRITE DEFAULT-CAR))
 (288 218 (:REWRITE DEFAULT-CDR))
 (208 26 (:DEFINITION VAL))
 (120 120 (:REWRITE APPLY-CONSP-IS-CONSP-LIST-OF-TERMS))
 (58 58 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (58 58 (:META CANCEL_PLUS-EQUAL-CORRECT))
 )
(SUBS-SUBST-COMPLETENESS-CLOSURE
 (120 3 (:DEFINITION PAIR-ARGS))
 (108 36 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (102 6 (:DEFINITION APPLY-SUBST))
 (82 58 (:REWRITE DEFAULT-CAR))
 (75 15 (:DEFINITION BINARY-APPEND))
 (63 52 (:REWRITE DEFAULT-CDR))
 (56 56 (:TYPE-PRESCRIPTION DOMAIN-VAR))
 (50 5 (:DEFINITION VARIABLES))
 (39 18 (:REWRITE APPLY-CONSP-IS-CONSP-LIST-OF-TERMS))
 (36 36 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (35 5 (:DEFINITION CO-DOMAIN-VAR))
 (28 28 (:TYPE-PRESCRIPTION VARIABLES))
 (27 27 (:TYPE-PRESCRIPTION PAIR-ARGS))
 (10 10 (:TYPE-PRESCRIPTION CO-DOMAIN-VAR))
 (3 3 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (3 3 (:META CANCEL_PLUS-EQUAL-CORRECT))
 (2 2 (:REWRITE MATCH-MV-COMPLETENESS))
 )
