(PROOF-CHECKER-ITP13::CLAUSE-LISTP)
(PROOF-CHECKER-ITP13::NEGATE-CLAUSE
 (3 1 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (1 1 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ITP13::NEGATE-ASSIGNMENT
 (2 2 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 )
(PROOF-CHECKER-ITP13::NEGATE-CLAUSE-NEGATE-ASSIGNMENT
 (27 7 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (18 18 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (18 17 (:REWRITE DEFAULT-CAR))
 (10 9 (:REWRITE DEFAULT-CDR))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (6 2 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 )
(PROOF-CHECKER-ITP13::NEGATE-ASSIGNMENT-NEGATE-CLAUSE
 (27 7 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (18 18 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (18 17 (:REWRITE DEFAULT-CAR))
 (10 9 (:REWRITE DEFAULT-CDR))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (6 2 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 )
(PROOF-CHECKER-ITP13::MEMBER-NEGATE-NEGATE-CLAUSE
 (270 30 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (99 21 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (86 83 (:REWRITE DEFAULT-CAR))
 (84 84 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (84 84 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (66 66 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (64 61 (:REWRITE DEFAULT-CDR))
 (36 12 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (31 31 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (31 31 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (16 16 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 )
(PROOF-CHECKER-ITP13::MEMBER-NEGATE-NEGATE-ASSIGNMENT
 (270 30 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (99 21 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (86 83 (:REWRITE DEFAULT-CAR))
 (84 84 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (84 84 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (66 66 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (64 61 (:REWRITE DEFAULT-CDR))
 (36 12 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (31 31 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (31 31 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (16 16 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 )
(PROOF-CHECKER-ITP13::ASSIGNMENTP-NEGATE-CLAUSE
 (75 19 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (69 9 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (33 33 (:REWRITE DEFAULT-CDR))
 (32 32 (:REWRITE DEFAULT-CAR))
 (30 30 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (30 30 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (18 18 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (18 6 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (9 9 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (8 8 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE-CLAUSE))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 )
(PROOF-CHECKER-ITP13::ASSIGNMENTP-NEGATE-ASSIGNMENT
 (3580 71 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (1063 1063 (:REWRITE DEFAULT-CDR))
 (824 824 (:REWRITE DEFAULT-CAR))
 (773 773 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (773 773 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (294 294 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (165 165 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (165 165 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (26 26 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (26 26 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ITP13::NUM-UNDEF)
(PROOF-CHECKER-ITP13::NATP-NUM-UNDEF)
(PROOF-CHECKER-ITP13::NUM-UNDEF-CONS
 (10472 213 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (10327 75 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (8613 701 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (8348 90 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (8331 45 (:REWRITE PROOF-CHECKER-ITP13::IFF-TRUEP-EVALUATE-CLAUSE-CONS))
 (7987 315 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (7587 607 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (6157 571 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (5739 755 (:DEFINITION MEMBER-EQUAL))
 (3134 466 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (2505 276 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (2288 192 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (1510 1510 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1510 1510 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (1403 1403 (:REWRITE DEFAULT-CAR))
 (1100 557 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (1061 1061 (:REWRITE DEFAULT-CDR))
 (882 882 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (830 830 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (807 807 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (710 710 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (315 315 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (90 90 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (80 80 (:REWRITE CDR-CONS))
 (80 80 (:REWRITE CAR-CONS))
 (80 50 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (64 36 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (18 9 (:REWRITE DEFAULT-+-2))
 (14 6 (:REWRITE DEFAULT-<-1))
 (12 6 (:REWRITE DEFAULT-<-2))
 (9 9 (:REWRITE DEFAULT-+-1))
 )
(PROOF-CHECKER-ITP13::NUM-UNDEF-CONS-2
 (108658 945 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (87055 765 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (85955 2736 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (76170 8339 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (67854 6181 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (66402 6502 (:DEFINITION MEMBER-EQUAL))
 (20299 3055 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (14951 14951 (:REWRITE DEFAULT-CAR))
 (13004 13004 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (13004 13004 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (11487 11487 (:REWRITE DEFAULT-CDR))
 (9981 5035 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (7147 7147 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (6872 6872 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (6142 6142 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (3341 1719 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (2736 2736 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (765 765 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (670 670 (:REWRITE CDR-CONS))
 (670 670 (:REWRITE CAR-CONS))
 (214 113 (:REWRITE DEFAULT-+-2))
 (113 113 (:REWRITE DEFAULT-+-1))
 (47 23 (:REWRITE DEFAULT-<-1))
 (38 23 (:REWRITE DEFAULT-<-2))
 )
(PROOF-CHECKER-ITP13::UNIT-PROPAGATION
 (2633 3 (:DEFINITION PROOF-CHECKER-ITP13::NUM-UNDEF))
 (2456 20 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (1815 62 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (1791 66 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (1782 18 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (1631 185 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (1493 139 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (1321 151 (:DEFINITION MEMBER-EQUAL))
 (1154 6 (:REWRITE PROOF-CHECKER-ITP13::IFF-TRUEP-EVALUATE-CLAUSE-CONS))
 (1036 116 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (758 23 (:DEFINITION PROOF-CHECKER-ITP13::FIND-UNIT-CLAUSE))
 (573 126 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (423 71 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (365 54 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (307 307 (:REWRITE DEFAULT-CAR))
 (302 302 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (302 302 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (249 249 (:REWRITE DEFAULT-CDR))
 (229 229 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (226 114 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (218 1 (:REWRITE PROOF-CHECKER-ITP13::NOT-UNDEFP-EVALUATE-CLAUSE-CONS))
 (159 159 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (144 144 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (81 1 (:DEFINITION PROOF-CHECKER-ITP13::CLAUSEP))
 (72 39 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (69 37 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (66 66 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (27 6 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (25 1 (:DEFINITION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (24 1 (:DEFINITION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (18 18 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (18 1 (:DEFINITION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (13 1 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (10 10 (:REWRITE CDR-CONS))
 (10 10 (:REWRITE CAR-CONS))
 (9 3 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (6 3 (:REWRITE DEFAULT-+-2))
 (3 3 (:REWRITE DEFAULT-+-1))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (1 1 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 )
(PROOF-CHECKER-ITP13::ASSIGNMENTP-UNIT-PROPAGATION
 (1218 7 (:DEFINITION PROOF-CHECKER-ITP13::FIND-UNIT-CLAUSE))
 (1197 7 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (588 28 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (420 7 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (416 64 (:DEFINITION MEMBER-EQUAL))
 (336 4 (:DEFINITION PROOF-CHECKER-ITP13::FORMULAP))
 (322 77 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (301 56 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (276 4 (:DEFINITION PROOF-CHECKER-ITP13::CLAUSEP))
 (128 128 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (128 128 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (122 122 (:REWRITE DEFAULT-CAR))
 (116 116 (:REWRITE DEFAULT-CDR))
 (112 56 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (108 24 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (98 98 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (96 4 (:DEFINITION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (84 42 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (77 42 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (72 4 (:DEFINITION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (64 64 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (64 64 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (56 28 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (56 28 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (52 4 (:DEFINITION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (49 28 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (36 12 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (28 28 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (28 28 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (21 21 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (16 4 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (16 4 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-CDR))
 (8 8 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (8 8 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (4 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ITP13::REMOVE-LITERAL)
(PROOF-CHECKER-ITP13::NOT-MEMBER-REMOVE-LITERAL
 (24 23 (:REWRITE DEFAULT-CAR))
 (18 17 (:REWRITE DEFAULT-CDR))
 (13 13 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (13 13 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 )
(PROOF-CHECKER-ITP13::MEMBER-REMOVE-LITERAL
 (87 83 (:REWRITE DEFAULT-CAR))
 (61 58 (:REWRITE DEFAULT-CDR))
 (52 52 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (52 52 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 )
(PROOF-CHECKER-ITP13::LITERAL-LISTP-REMOVE-LITERAL
 (161 31 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (84 84 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (70 7 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-REMOVE-LITERAL))
 (58 57 (:REWRITE DEFAULT-CAR))
 (55 54 (:REWRITE DEFAULT-CDR))
 (46 46 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (46 46 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (36 1 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONS))
 (33 11 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (16 16 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (15 15 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (15 15 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (10 10 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 )
(PROOF-CHECKER-ITP13::UNIQUE-LITERALSP-REMOVE-LITERAL
 (161 31 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (84 84 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (60 58 (:REWRITE DEFAULT-CDR))
 (56 55 (:REWRITE DEFAULT-CAR))
 (42 42 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (42 42 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (36 1 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONS))
 (33 11 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (16 16 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (10 10 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (9 9 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (9 9 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 )
(PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP-REMOVE-LITERAL
 (161 31 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (84 84 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (60 58 (:REWRITE DEFAULT-CDR))
 (56 55 (:REWRITE DEFAULT-CAR))
 (42 42 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (42 42 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (36 1 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONS))
 (33 11 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (22 22 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (18 18 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (18 18 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (9 9 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (9 9 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ITP13::CLAUSEP-REMOVE-LITERAL)
(PROOF-CHECKER-ITP13::RESOLUTION
 (77 18 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (50 50 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (30 30 (:REWRITE DEFAULT-CDR))
 (27 27 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (27 27 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (27 9 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (25 25 (:REWRITE DEFAULT-CAR))
 (7 1 (:DEFINITION PROOF-CHECKER-ITP13::REMOVE-LITERAL))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ITP13::MEMBER-UNION
 (179 179 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (179 179 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (165 160 (:REWRITE DEFAULT-CAR))
 (131 127 (:REWRITE DEFAULT-CDR))
 (64 64 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNION))
 )
(PROOF-CHECKER-ITP13::LITERAL-LISTP-UNION
 (324 63 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (180 180 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (154 7 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION))
 (109 109 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (109 109 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (104 103 (:REWRITE DEFAULT-CDR))
 (100 99 (:REWRITE DEFAULT-CAR))
 (81 27 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (54 1 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONS))
 (32 16 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (24 24 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (24 24 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (16 16 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (16 16 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (16 16 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (13 13 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNION))
 )
(PROOF-CHECKER-ITP13::UNIQUE-LITERALSP-UNION
 (324 63 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (180 180 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (102 100 (:REWRITE DEFAULT-CDR))
 (87 86 (:REWRITE DEFAULT-CAR))
 (86 86 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (86 86 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (81 27 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (54 1 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONS))
 (32 16 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (24 24 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (24 24 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (16 16 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (14 14 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNION))
 (9 9 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (9 9 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ITP13::LITERAL-LISTP-RESOLUTION
 (100 24 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (64 64 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (42 42 (:REWRITE DEFAULT-CDR))
 (36 36 (:REWRITE DEFAULT-CAR))
 (36 12 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (34 34 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (34 34 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (19 1 (:DEFINITION PROOF-CHECKER-ITP13::UNION))
 (13 13 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (12 2 (:DEFINITION PROOF-CHECKER-ITP13::REMOVE-LITERAL))
 (10 1 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-REMOVE-LITERAL))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::REMOVE-LITERAL))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ITP13::UNIQUE-LITERALSP-RESOLUTION
 (100 24 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (64 64 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (42 42 (:REWRITE DEFAULT-CDR))
 (36 36 (:REWRITE DEFAULT-CAR))
 (36 12 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (34 34 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (34 34 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (19 1 (:DEFINITION PROOF-CHECKER-ITP13::UNION))
 (13 13 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (12 2 (:DEFINITION PROOF-CHECKER-ITP13::REMOVE-LITERAL))
 (10 1 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-REMOVE-LITERAL))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::REMOVE-LITERAL))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ITP13::TAUTOLOGYP)
(PROOF-CHECKER-ITP13::ATP
 (347 1 (:DEFINITION PROOF-CHECKER-ITP13::UNIT-PROPAGATION))
 (346 1 (:DEFINITION PROOF-CHECKER-ITP13::FIND-UNIT-CLAUSE))
 (343 1 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (256 4 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (156 8 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-NEGATE-NEGATE-CLAUSE))
 (103 1 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (96 1 (:DEFINITION PROOF-CHECKER-ITP13::FORMULAP))
 (77 18 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (68 4 (:REWRITE PROOF-CHECKER-ITP13::LITERALP-NEGATE))
 (49 49 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (49 49 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (46 11 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (45 45 (:REWRITE DEFAULT-CDR))
 (43 8 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (42 42 (:REWRITE DEFAULT-CAR))
 (27 9 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (18 18 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (16 8 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (15 15 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (15 15 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (14 14 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (14 14 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (14 14 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (14 2 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (12 6 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (11 6 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (8 4 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (8 4 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (7 4 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (4 1 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (4 1 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-CDR))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (3 1 (:DEFINITION PROOF-CHECKER-ITP13::NEGATE-CLAUSE))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 )
(PROOF-CHECKER-ITP13::RATP1
 (5230 20 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (4547 1006 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (4260 80 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (3036 3036 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (2975 5 (:DEFINITION PROOF-CHECKER-ITP13::UNIT-PROPAGATION))
 (2970 5 (:DEFINITION PROOF-CHECKER-ITP13::FIND-UNIT-CLAUSE))
 (2965 5 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-FORMULA))
 (2532 4 (:DEFINITION TRUE-LISTP))
 (2330 75 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (2270 20 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (2180 160 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (2150 235 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (2076 2076 (:REWRITE DEFAULT-CDR))
 (2020 40 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-NEGATE-NEGATE-CLAUSE))
 (2010 2010 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (2010 2010 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (1811 1811 (:REWRITE DEFAULT-CAR))
 (1730 154 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (1593 531 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (1537 9 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-TRUE-LISTP))
 (960 4 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-CDR))
 (910 70 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (843 5 (:REWRITE PROOF-CHECKER-ITP13::UNIQUE-LITERALSP-REMOVE-LITERAL))
 (843 5 (:REWRITE PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP-REMOVE-LITERAL))
 (715 105 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (530 530 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (480 240 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIT-PROPAGATION))
 (352 170 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (345 170 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (320 320 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE-CLAUSE))
 (289 289 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (289 289 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (262 5 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-REMOVE-LITERAL))
 (240 240 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (205 105 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (190 10 (:DEFINITION PROOF-CHECKER-ITP13::UNION))
 (185 95 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (170 170 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (150 70 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (120 20 (:DEFINITION PROOF-CHECKER-ITP13::REMOVE-LITERAL))
 (105 80 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (80 80 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (70 70 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-FORMULA))
 (35 5 (:DEFINITION PROOF-CHECKER-ITP13::NEGATE-CLAUSE))
 (34 8 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-TRUE-LISTP))
 (20 20 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (14 14 (:REWRITE PROOF-CHECKER-ITP13::NEGATE-NEGATE))
 (5 5 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ITP13::RATP
 (351 82 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (230 230 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (119 119 (:REWRITE DEFAULT-CDR))
 (117 39 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (104 104 (:REWRITE DEFAULT-CAR))
 (76 76 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (76 76 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (30 30 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (28 7 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-CDR))
 (23 23 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (23 23 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (22 10 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (21 21 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (21 21 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ITP13::VERIFY-CLAUSE
 (96 1 (:DEFINITION PROOF-CHECKER-ITP13::FORMULAP))
 (30 7 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (24 1 (:DEFINITION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (21 3 (:DEFINITION MEMBER-EQUAL))
 (20 20 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (18 1 (:DEFINITION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (14 2 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (9 9 (:REWRITE DEFAULT-CDR))
 (9 3 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (8 8 (:REWRITE DEFAULT-CAR))
 (7 7 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (4 1 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (4 1 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-CDR))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ITP13::VERIFY-PROOF
 (1404 8 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (1335 31 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (1254 143 (:DEFINITION MEMBER-EQUAL))
 (1186 2 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-FORMULA))
 (1016 32 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (960 1 (:DEFINITION PROOF-CHECKER-ITP13::RATP1))
 (932 30 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (872 64 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (860 94 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (736 8 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (711 158 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (502 2 (:DEFINITION PROOF-CHECKER-ITP13::UNIT-PROPAGATION))
 (500 2 (:DEFINITION PROOF-CHECKER-ITP13::FIND-UNIT-CLAUSE))
 (474 474 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (379 31 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (364 28 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (320 320 (:REWRITE DEFAULT-CDR))
 (307 307 (:REWRITE DEFAULT-CAR))
 (286 286 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (286 286 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (286 42 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (237 79 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (192 96 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIT-PROPAGATION))
 (138 68 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (128 128 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE-CLAUSE))
 (120 16 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-NEGATE-NEGATE-CLAUSE))
 (113 113 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (108 108 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (96 96 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (82 42 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (74 38 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (60 48 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (60 28 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (56 56 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (56 56 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (42 32 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (40 8 (:REWRITE PROOF-CHECKER-ITP13::LITERALP-NEGATE))
 (35 1 (:DEFINITION PROOF-CHECKER-ITP13::TAUTOLOGYP))
 (32 32 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (30 1 (:DEFINITION PROOF-CHECKER-ITP13::RESOLUTION))
 (28 28 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-FORMULA))
 (24 24 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (24 24 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (20 8 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-CDR))
 (19 1 (:DEFINITION PROOF-CHECKER-ITP13::UNION))
 (10 2 (:DEFINITION PROOF-CHECKER-ITP13::REMOVE-LITERAL))
 (10 2 (:DEFINITION PROOF-CHECKER-ITP13::NEGATE-CLAUSE))
 (10 1 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-REMOVE-LITERAL))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (8 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNION))
 (6 6 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::REMOVE-LITERAL))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ITP13::PROOFP)
(PROOF-CHECKER-ITP13::REFUTATIONP
 (5808 32 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (4744 8 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-FORMULA))
 (4256 128 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
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 (2192 8 (:DEFINITION PROOF-CHECKER-ITP13::FIND-UNIT-CLAUSE))
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 (1456 112 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
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 (994 994 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (873 873 (:REWRITE DEFAULT-CDR))
 (850 850 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (850 850 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (824 824 (:REWRITE DEFAULT-CAR))
 (768 384 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIT-PROPAGATION))
 (672 64 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-NEGATE-NEGATE-CLAUSE))
 (552 272 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (546 182 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (542 50 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (528 33 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-CDR))
 (512 512 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE-CLAUSE))
 (404 4 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-CDR))
 (388 388 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (384 384 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (368 368 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (332 116 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (328 168 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (296 152 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (256 32 (:REWRITE PROOF-CHECKER-ITP13::LITERALP-NEGATE))
 (240 112 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (168 128 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (148 148 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (148 148 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (140 4 (:DEFINITION PROOF-CHECKER-ITP13::TAUTOLOGYP))
 (128 128 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (120 4 (:DEFINITION PROOF-CHECKER-ITP13::RESOLUTION))
 (112 112 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-FORMULA))
 (76 4 (:DEFINITION PROOF-CHECKER-ITP13::UNION))
 (40 40 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (40 40 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (40 8 (:DEFINITION PROOF-CHECKER-ITP13::REMOVE-LITERAL))
 (40 8 (:DEFINITION PROOF-CHECKER-ITP13::NEGATE-CLAUSE))
 (40 4 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-REMOVE-LITERAL))
 (34 8 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-TRUE-LISTP))
 (32 32 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (32 16 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNION))
 (24 24 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::REMOVE-LITERAL))
 (11 11 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::CLAUSEP))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ITP13::SOLUTIONP)
(PROOF-CHECKER-ITP13::EXISTS-SOLUTION)
(PROOF-CHECKER-ITP13::EXISTS-SOLUTION-SUFF)
(PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP
 (21060 585 (:REWRITE PROOF-CHECKER-ITP13::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (21060 195 (:DEFINITION PROOF-CHECKER-ITP13::SUBSET-VARIABLESP))
 (19305 585 (:DEFINITION PROOF-CHECKER-ITP13::SET-DIFFERENCE-VARIABLES))
 (19305 65 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (19110 65 (:DEFINITION PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP))
 (17849 26 (:DEFINITION PROOF-CHECKER-ITP13::SUBSETP))
 (17784 65 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-CDR))
 (9620 65 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (8056 112 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (7944 50 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (4680 4680 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SET-DIFFERENCE-VARIABLES))
 (4641 4641 (:REWRITE DEFAULT-CAR))
 (4592 4592 (:REWRITE DEFAULT-CDR))
 (4500 4500 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (2201 2201 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (1300 1300 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SUBSET-VARIABLESP))
 (585 585 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-TRANSITIVE))
 (229 229 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (66 66 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (65 65 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP))
 (65 65 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP-TRANSITIVE))
 )
(PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP
 (30265 558 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (29919 200 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (26744 194 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (24738 794 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (23336 3262 (:DEFINITION MEMBER-EQUAL))
 (14580 405 (:REWRITE PROOF-CHECKER-ITP13::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (14580 135 (:DEFINITION PROOF-CHECKER-ITP13::SUBSET-VARIABLESP))
 (13436 6524 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (13365 405 (:DEFINITION PROOF-CHECKER-ITP13::SET-DIFFERENCE-VARIABLES))
 (13365 45 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (13230 45 (:DEFINITION PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP))
 (12357 18 (:DEFINITION PROOF-CHECKER-ITP13::SUBSETP))
 (12312 45 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-CDR))
 (6660 45 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (6524 6524 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (6142 6142 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (5604 5604 (:REWRITE DEFAULT-CAR))
 (5407 5407 (:REWRITE DEFAULT-CDR))
 (3244 3244 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (3244 3244 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (3240 3240 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SET-DIFFERENCE-VARIABLES))
 (900 900 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SUBSET-VARIABLESP))
 (794 794 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (405 405 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-TRANSITIVE))
 (194 194 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (45 45 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP))
 (45 45 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP-TRANSITIVE))
 (33 33 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (14 14 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-TRUE))
 )
(PROOF-CHECKER-ITP13::ASSIGNMENTP-AND-MEMBER-IMPLIES-NOT-MEMBER-NEGATE
 (504 49 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (261 7 (:DEFINITION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (230 7 (:DEFINITION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (175 7 (:DEFINITION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (121 2 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (51 51 (:REWRITE DEFAULT-CDR))
 (40 40 (:REWRITE DEFAULT-CAR))
 (35 35 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (35 35 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (14 14 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (10 10 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (10 10 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 )
(PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP
 (8836 216 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (7963 222 (:DEFINITION PROOF-CHECKER-ITP13::SUBSET-VARIABLESP))
 (1839 1839 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (1608 1608 (:REWRITE DEFAULT-CDR))
 (1600 1600 (:REWRITE DEFAULT-CAR))
 (1518 1518 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SUBSET-VARIABLESP))
 (702 702 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (658 658 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-TRANSITIVE))
 (227 99 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (154 154 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (125 125 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 )
(PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-SUBSETP
 (20120 324 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (19894 114 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (19553 2018 (:DEFINITION MEMBER-EQUAL))
 (17725 112 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (17204 454 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (14805 315 (:REWRITE PROOF-CHECKER-ITP13::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (13860 315 (:DEFINITION PROOF-CHECKER-ITP13::SET-DIFFERENCE-VARIABLES))
 (13650 105 (:DEFINITION PROOF-CHECKER-ITP13::SUBSET-VARIABLESP))
 (12789 35 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (12684 35 (:DEFINITION PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP))
 (11858 14 (:DEFINITION PROOF-CHECKER-ITP13::SUBSETP))
 (11781 35 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-CDR))
 (7551 1538 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-AND-MEMBER-IMPLIES-NOT-MEMBER-NEGATE))
 (7320 4248 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (6628 430 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (6251 35 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (4248 4248 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (4126 4126 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (3668 3668 (:REWRITE DEFAULT-CAR))
 (3556 3556 (:REWRITE DEFAULT-CDR))
 (2520 2520 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SET-DIFFERENCE-VARIABLES))
 (2513 1147 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (2004 2004 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (2004 2004 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (1288 63 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (700 700 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SUBSET-VARIABLESP))
 (454 454 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (315 315 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-TRANSITIVE))
 (112 112 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (35 35 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP))
 (35 35 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP-TRANSITIVE))
 (21 21 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-TRUE))
 )
(PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-IS-UNIT-CLAUSE-SUBSETP
 (5866 139 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (5313 145 (:DEFINITION PROOF-CHECKER-ITP13::SUBSET-VARIABLESP))
 (4296 139 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-CDR))
 (2205 561 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (2011 2011 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (1672 1672 (:REWRITE DEFAULT-CAR))
 (1566 1566 (:REWRITE DEFAULT-CDR))
 (1003 1003 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SUBSET-VARIABLESP))
 (848 848 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (762 268 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (435 435 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-TRANSITIVE))
 (271 271 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (108 108 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 )
(PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-FIND-UNIT-CLAUSE-SUBSETP
 (15507 165 (:DEFINITION PROOF-CHECKER-ITP13::SUBSET-VARIABLESP))
 (15483 489 (:REWRITE PROOF-CHECKER-ITP13::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (14514 53 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (14355 53 (:DEFINITION PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP))
 (14028 483 (:DEFINITION PROOF-CHECKER-ITP13::SET-DIFFERENCE-VARIABLES))
 (13561 128 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (13385 437 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (13100 23 (:DEFINITION PROOF-CHECKER-ITP13::SUBSETP))
 (11203 4680 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (11189 1243 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (9612 53 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-CDR))
 (6944 53 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (5533 273 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (4680 4680 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (4565 548 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (4527 4527 (:REWRITE DEFAULT-CAR))
 (4346 4346 (:REWRITE DEFAULT-CDR))
 (4210 635 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (3801 3801 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SET-DIFFERENCE-VARIABLES))
 (3181 946 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (2493 558 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (2273 2273 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (2134 60 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (2134 55 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (2120 2120 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (1395 633 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (1090 1090 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SUBSET-VARIABLESP))
 (887 452 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (834 489 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-TRANSITIVE))
 (613 268 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (491 491 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (459 373 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (156 6 (:DEFINITION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (147 147 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-FORMULA))
 (128 128 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (72 12 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (60 6 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (53 53 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP))
 (53 53 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP-TRANSITIVE))
 (36 12 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (30 30 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (15 15 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-TRUE))
 (6 6 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-UNIT-PROPAGATION-SUBSETP
 (35680 768 (:REWRITE PROOF-CHECKER-ITP13::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (34799 246 (:DEFINITION PROOF-CHECKER-ITP13::SUBSET-VARIABLESP))
 (33825 114 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (33591 78 (:DEFINITION PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP))
 (32267 726 (:DEFINITION PROOF-CHECKER-ITP13::SET-DIFFERENCE-VARIABLES))
 (31691 114 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-CDR))
 (19643 119 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (18113 114 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (14229 14 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-FORMULA))
 (12466 865 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (12415 481 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (11373 412 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (11359 124 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (10311 1213 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (8742 47 (:DEFINITION PROOF-CHECKER-ITP13::FIND-UNIT-CLAUSE))
 (6601 6351 (:REWRITE DEFAULT-CAR))
 (6461 6216 (:REWRITE DEFAULT-CDR))
 (6330 6330 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (5896 5896 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SET-DIFFERENCE-VARIABLES))
 (4193 648 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (4022 286 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (3638 563 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (3358 920 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (3076 3076 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (2970 2970 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (2804 59 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (2699 54 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (2374 554 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (2345 6 (:REWRITE PROOF-CHECKER-ITP13::EQUAL-SET-DIFFERENCE-VARIABLES-CONS))
 (1731 1731 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SUBSET-VARIABLESP))
 (1440 648 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (1369 1369 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (903 453 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (898 768 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-TRANSITIVE))
 (762 6 (:REWRITE PROOF-CHECKER-ITP13::LITERALP-MV-NTH-0-FIND-UNIT-CLAUSE))
 (744 6 (:DEFINITION PROOF-CHECKER-ITP13::FORMULAP))
 (676 286 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (660 6 (:DEFINITION PROOF-CHECKER-ITP13::CLAUSEP))
 (481 481 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (460 6 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-CONS))
 (453 369 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (246 6 (:DEFINITION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (186 186 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP))
 (174 6 (:DEFINITION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (168 12 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (162 36 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (150 6 (:DEFINITION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (146 146 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-FORMULA))
 (124 124 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (114 114 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP-TRANSITIVE))
 (54 18 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (42 42 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::FORMULAP))
 (36 36 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (36 36 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (30 30 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (18 18 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (14 14 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (12 12 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (12 6 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (12 6 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-CDR))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ITP13::EVALUATE-FORMULA-UNIT-PROPAGATION-NIL
 (3550 100 (:REWRITE PROOF-CHECKER-ITP13::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (3512 36 (:DEFINITION PROOF-CHECKER-ITP13::SUBSET-VARIABLESP))
 (3282 14 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (3262 100 (:DEFINITION PROOF-CHECKER-ITP13::SET-DIFFERENCE-VARIABLES))
 (3240 14 (:DEFINITION PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP))
 (3110 3 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-FORMULA))
 (2894 18 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (2448 62 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (2000 19 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (1933 70 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (1730 14 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (984 41 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (848 848 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (835 835 (:REWRITE DEFAULT-CAR))
 (788 788 (:REWRITE DEFAULT-CDR))
 (727 111 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (726 79 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (716 716 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SET-DIFFERENCE-VARIABLES))
 (687 162 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (501 3 (:DEFINITION PROOF-CHECKER-ITP13::UNIT-PROPAGATION))
 (498 3 (:DEFINITION PROOF-CHECKER-ITP13::FIND-UNIT-CLAUSE))
 (460 78 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (415 415 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (394 394 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (200 200 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SUBSET-VARIABLESP))
 (196 196 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (100 100 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-TRANSITIVE))
 (70 70 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (39 39 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-UNDEF))
 (24 24 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-UNDEF))
 (19 19 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (17 10 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (14 14 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP))
 (14 14 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP-TRANSITIVE))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ITP13::SOLUTIONP-IMPLIES-NOT-ATP-*EMPTY-CLAUSE*
 (1108 2 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-FORMULA))
 (967 7 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (822 26 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (789 64 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (785 77 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (602 7 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (576 27 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (366 54 (:DEFINITION MEMBER-EQUAL))
 (309 18 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (273 47 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (167 1 (:DEFINITION PROOF-CHECKER-ITP13::UNIT-PROPAGATION))
 (166 1 (:DEFINITION PROOF-CHECKER-ITP13::FIND-UNIT-CLAUSE))
 (164 64 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (102 102 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (102 102 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (92 41 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (82 82 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (79 79 (:REWRITE DEFAULT-CAR))
 (77 34 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (71 71 (:REWRITE DEFAULT-CDR))
 (51 51 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (48 48 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIT-PROPAGATION))
 (48 48 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (48 48 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (47 17 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (40 27 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (34 34 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (32 32 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (27 27 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (21 21 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-FORMULA))
 (13 13 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-UNDEF))
 (10 10 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-UNDEF))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ITP13::*EMPTY-CLAUSE*-LEMMA
 (1108 2 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-FORMULA))
 (967 7 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (822 26 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (789 64 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (785 77 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (602 7 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (576 27 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (366 54 (:DEFINITION MEMBER-EQUAL))
 (309 18 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (273 47 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (167 1 (:DEFINITION PROOF-CHECKER-ITP13::UNIT-PROPAGATION))
 (166 1 (:DEFINITION PROOF-CHECKER-ITP13::FIND-UNIT-CLAUSE))
 (164 64 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (102 102 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (102 102 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (92 41 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (82 82 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (79 79 (:REWRITE DEFAULT-CAR))
 (77 34 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (71 71 (:REWRITE DEFAULT-CDR))
 (51 51 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (48 48 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIT-PROPAGATION))
 (48 48 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (48 48 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (47 17 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (40 27 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (34 34 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (32 32 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (27 27 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (21 21 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-FORMULA))
 (13 13 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-UNDEF))
 (10 10 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-UNDEF))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-IMPLIES-NOT-ATP-*EMPTY-CLAUSE*))
 )
(PROOF-CHECKER-ITP13::EXISTS-SOLUTION-IMPLIES-NOT-ATP-*EMPTY-CLAUSE*
 (1108 2 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-FORMULA))
 (967 7 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (822 26 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (780 62 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (772 77 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (602 7 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (576 27 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (366 54 (:DEFINITION MEMBER-EQUAL))
 (310 19 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (278 44 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (167 1 (:DEFINITION PROOF-CHECKER-ITP13::UNIT-PROPAGATION))
 (166 64 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (166 1 (:DEFINITION PROOF-CHECKER-ITP13::FIND-UNIT-CLAUSE))
 (102 102 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (102 102 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (92 38 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (82 82 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (79 79 (:REWRITE DEFAULT-CAR))
 (77 34 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (71 71 (:REWRITE DEFAULT-CDR))
 (51 51 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (48 48 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIT-PROPAGATION))
 (48 48 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (48 48 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (48 18 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (41 28 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (34 34 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (32 32 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (27 27 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (19 19 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-FORMULA))
 (13 13 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-UNDEF))
 (10 10 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-UNDEF))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-IMPLIES-NOT-ATP-*EMPTY-CLAUSE*))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::*EMPTY-CLAUSE*-LEMMA))
 )
(PROOF-CHECKER-ITP13::FIND-TRUE-LITERAL-IN-CLAUSE)
(PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-IMPLIES-FIND-TRUE-LITERAL-IN-CLAUSE
 (5558 112 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (5446 48 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (2238 386 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (1645 7 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-CDR))
 (1492 1492 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (1197 1197 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1197 1197 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (1156 1156 (:REWRITE DEFAULT-CDR))
 (1089 1089 (:REWRITE DEFAULT-CAR))
 (1080 360 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (524 524 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (302 99 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (209 209 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (174 174 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (160 160 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (99 99 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (99 99 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (72 72 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (72 72 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (55 55 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (14 14 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ITP13::FIND-TRUE-LITERAL-IN-CLAUSE-IMPLIES-MEMBER-CLAUSE
 (1210 9 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-IMPLIES-FIND-TRUE-LITERAL-IN-CLAUSE))
 (1177 11 (:DEFINITION PROOF-CHECKER-ITP13::CLAUSEP))
 (410 12 (:DEFINITION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (399 73 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (354 12 (:DEFINITION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (266 266 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (243 13 (:DEFINITION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (180 60 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (178 2 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-CDR))
 (122 122 (:REWRITE DEFAULT-CAR))
 (119 119 (:REWRITE DEFAULT-CDR))
 (93 93 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (93 93 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (54 54 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (54 54 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (44 44 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (30 30 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (28 28 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (28 28 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (14 14 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (14 14 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (14 14 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (11 11 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::CLAUSEP))
 (11 11 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ITP13::FIND-TRUE-LITERAL-IN-CLAUSE-IMPLIES-MEMBER-ASSIGNMENT
 (1121 8 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-IMPLIES-FIND-TRUE-LITERAL-IN-CLAUSE))
 (1091 10 (:DEFINITION PROOF-CHECKER-ITP13::CLAUSEP))
 (381 11 (:DEFINITION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (372 67 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (329 11 (:DEFINITION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (248 248 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (226 12 (:DEFINITION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (178 2 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-CDR))
 (171 57 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (112 112 (:REWRITE DEFAULT-CDR))
 (100 100 (:REWRITE DEFAULT-CAR))
 (86 86 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (86 86 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (49 49 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (49 49 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (40 40 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (28 28 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (26 26 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (26 26 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (13 13 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (13 13 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (13 13 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (10 10 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::CLAUSEP))
 (10 10 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ITP13::FIND-TRUE-LITERAL-IN-CLAUSE-IMPLIES-LITERALP
 (429 8 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (421 4 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (386 32 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (377 4 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (336 16 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (322 23 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (134 1 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (80 80 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (80 80 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (73 18 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (68 68 (:REWRITE DEFAULT-CAR))
 (67 67 (:REWRITE DEFAULT-CDR))
 (49 23 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (46 46 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (43 20 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (38 38 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (38 38 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (27 9 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (23 12 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (16 16 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (16 16 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (12 12 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (12 1 (:DEFINITION PROOF-CHECKER-ITP13::FIND-TRUE-LITERAL-IN-CLAUSE))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ITP13::EXISTS-TRUE-LITERAL)
(PROOF-CHECKER-ITP13::EXISTS-TRUE-LITERAL-SUFF)
(PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-IMPLIES-EXISTS-TRUE-LITERAL
 (339 3 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (305 7 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (298 3 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (252 12 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (240 25 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (192 16 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (135 2 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (62 62 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (62 62 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (54 54 (:REWRITE DEFAULT-CAR))
 (51 51 (:REWRITE DEFAULT-CDR))
 (46 12 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (34 17 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (34 16 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (28 28 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (28 28 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (28 28 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (24 2 (:DEFINITION PROOF-CHECKER-ITP13::FIND-TRUE-LITERAL-IN-CLAUSE))
 (19 10 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (18 6 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (12 12 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (12 12 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (10 10 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE
 (2050 39 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (2011 18 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (399 399 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (399 399 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (301 301 (:REWRITE DEFAULT-CAR))
 (248 248 (:REWRITE DEFAULT-CDR))
 (160 160 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (94 94 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (74 74 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (57 57 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (30 30 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 )
(PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-NEGATE-ASSIGNMENT
 (3058 204 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (2541 48 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (2493 24 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (469 469 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (469 469 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (371 368 (:REWRITE DEFAULT-CAR))
 (340 124 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (328 325 (:REWRITE DEFAULT-CDR))
 (241 241 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (201 3 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (102 102 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (102 102 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (96 96 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (72 72 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (24 24 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (24 24 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (24 24 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (24 24 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (14 14 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-TRUE))
 (12 12 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-FALSE))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-UNDEF))
 )
(PROOF-CHECKER-ITP13::EVALUATE-CLAUSE-IMPLIES-TRUEP-EVALUATE-CLAUSE-NEGATE-ASSIGNMENT
 (13807 251 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (13556 119 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (2092 2092 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (2092 2092 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (1629 1629 (:REWRITE DEFAULT-CAR))
 (1464 1464 (:REWRITE DEFAULT-CDR))
 (1028 1028 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (509 509 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (467 467 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (467 467 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (459 459 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (210 64 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (140 140 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (131 131 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (48 48 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE-ASSIGNMENT))
 (24 8 (:DEFINITION PROOF-CHECKER-ITP13::NEGATE-ASSIGNMENT))
 (22 22 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (22 22 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (22 22 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (21 21 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (21 21 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (18 6 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 )
(PROOF-CHECKER-ITP13::EVALUATE-FORMULA-IMPLIES-TRUEP-EVALUATE-CLAUSE-NEGATE-ASSIGNMENT
 (9537 241 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (9372 79 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (8080 79 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (6636 316 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (4108 632 (:DEFINITION MEMBER-EQUAL))
 (1264 1264 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1264 1264 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (995 995 (:REWRITE DEFAULT-CAR))
 (896 896 (:REWRITE DEFAULT-CDR))
 (632 632 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (632 632 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (632 632 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (371 371 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (371 371 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (332 332 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (316 316 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (80 80 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (79 79 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (76 76 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (64 12 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (31 31 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE-ASSIGNMENT))
 (29 29 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-FALSE))
 (26 26 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-UNDEF))
 (25 25 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (16 16 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-NEGATE-ASSIGNMENT))
 (15 5 (:DEFINITION PROOF-CHECKER-ITP13::NEGATE-ASSIGNMENT))
 (14 14 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-TRUE))
 (12 12 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (8 2 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-CDR))
 )
(PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE
 (32570 44 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-IS-UNIT-CLAUSE-SUBSETP))
 (22810 284 (:DEFINITION PROOF-CHECKER-ITP13::SUBSET-VARIABLESP))
 (22804 828 (:REWRITE PROOF-CHECKER-ITP13::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (21712 88 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (21448 88 (:DEFINITION PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP))
 (20358 816 (:DEFINITION PROOF-CHECKER-ITP13::SET-DIFFERENCE-VARIABLES))
 (17510 44 (:DEFINITION PROOF-CHECKER-ITP13::SUBSETP))
 (11888 364 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (9976 88 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (6324 6324 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SET-DIFFERENCE-VARIABLES))
 (5225 524 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (5042 5042 (:REWRITE DEFAULT-CAR))
 (4768 4768 (:REWRITE DEFAULT-CDR))
 (4484 4484 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (4484 4484 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (2523 242 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (2126 2126 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (1836 1836 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SUBSET-VARIABLESP))
 (1628 828 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-TRANSITIVE))
 (888 8 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-NEGATE-IS-UNIT-CLAUSE-ASSIGNMENT))
 (464 169 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (364 364 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (349 349 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (308 308 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SUBSETP))
 (296 16 (:DEFINITION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (293 293 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (192 32 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (183 183 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (176 88 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-CDR))
 (128 128 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (96 32 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (88 88 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP))
 (88 88 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP-TRANSITIVE))
 (80 80 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (70 70 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (32 32 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (16 16 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (16 16 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (16 16 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE
 (1404 19 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (1064 209 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (969 152 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (963 1 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-FIND-UNIT-CLAUSE-SUBSETP))
 (684 18 (:REWRITE PROOF-CHECKER-ITP13::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (684 6 (:DEFINITION PROOF-CHECKER-ITP13::SUBSET-VARIABLESP))
 (630 18 (:DEFINITION PROOF-CHECKER-ITP13::SET-DIFFERENCE-VARIABLES))
 (626 2 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (620 2 (:DEFINITION PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP))
 (489 1 (:DEFINITION PROOF-CHECKER-ITP13::SUBSETP))
 (431 431 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (431 431 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (401 401 (:REWRITE DEFAULT-CAR))
 (350 350 (:REWRITE DEFAULT-CDR))
 (342 152 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (312 2 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (285 114 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (266 266 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (209 114 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (209 76 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (204 204 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (171 76 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (144 144 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SET-DIFFERENCE-VARIABLES))
 (133 76 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (114 114 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (114 114 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (114 114 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (76 76 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (76 76 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (57 57 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (40 40 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SUBSET-VARIABLESP))
 (19 19 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (18 18 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-TRANSITIVE))
 (7 7 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SUBSETP))
 (4 2 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-CDR))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP-TRANSITIVE))
 )
(PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-TRUEP-NEGATE-ASSIGNMENT
 (808 4 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (720 3 (:DEFINITION PROOF-CHECKER-ITP13::FIND-UNIT-CLAUSE))
 (496 16 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (419 4 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (314 42 (:DEFINITION MEMBER-EQUAL))
 (295 41 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (276 30 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (139 24 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (111 14 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (84 84 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (84 84 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (67 29 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (65 65 (:REWRITE DEFAULT-CAR))
 (60 24 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (58 58 (:REWRITE DEFAULT-CDR))
 (50 50 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (33 12 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (32 32 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (32 32 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (32 32 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (32 15 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (22 22 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (22 22 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (21 21 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (21 12 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (16 16 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (11 11 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (3 3 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE-ASSIGNMENT))
 (3 1 (:DEFINITION PROOF-CHECKER-ITP13::NEGATE-ASSIGNMENT))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::EVALUATE-FORMULA-IMPLIES-TRUEP-EVALUATE-CLAUSE-NEGATE-ASSIGNMENT))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::EVALUATE-CLAUSE-IMPLIES-TRUEP-EVALUATE-CLAUSE-NEGATE-ASSIGNMENT))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-IMPLIES-EXISTS-TRUE-LITERAL
 (7254 78 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (6172 783 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (5912 249 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (2653 198 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (1476 1476 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1476 1476 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (1407 398 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (1342 658 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (1227 1227 (:REWRITE DEFAULT-CAR))
 (1208 580 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (1103 1103 (:REWRITE DEFAULT-CDR))
 (956 398 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (874 658 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (658 658 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (658 658 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (611 293 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (520 197 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (443 102 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (354 354 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (338 338 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (338 338 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (312 312 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (290 290 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (280 231 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (153 51 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (90 17 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (78 78 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (67 67 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-FORMULA))
 (33 33 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (24 24 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (19 19 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (17 17 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (17 17 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (14 14 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (14 14 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (12 10 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MV-NTH-1-FIND-UNIT-CLAUSE))
 (8 2 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-CDR))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-TRUE))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-MV-NTH-1-FIND-UNIT-CLAUSE-FORMULA))
 )
(PROOF-CHECKER-ITP13::FIND-UNIT-CLAUSE-AND-MEMBER-NEGATE-IMPLIES-TRUEP-NEGATE-ASSIGNMENT
 (16548 74 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (11624 6 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-FIND-UNIT-CLAUSE-SUBSETP))
 (10696 288 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (9683 12 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (9647 12 (:DEFINITION PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP))
 (8589 108 (:REWRITE PROOF-CHECKER-ITP13::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (8310 36 (:DEFINITION PROOF-CHECKER-ITP13::SUBSET-VARIABLESP))
 (8265 108 (:DEFINITION PROOF-CHECKER-ITP13::SET-DIFFERENCE-VARIABLES))
 (8029 751 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (7164 72 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (6317 778 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (4445 270 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (4406 2 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-IMPLIES-EXISTS-TRUE-LITERAL))
 (3980 390 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (3950 5 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-FORMULA))
 (2904 6 (:DEFINITION PROOF-CHECKER-ITP13::SUBSETP))
 (1933 1933 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1933 1933 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (1885 419 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (1877 5 (:REWRITE PROOF-CHECKER-ITP13::EVALUATE-FORMULA-IMPLIES-TRUEP-EVALUATE-CLAUSE-NEGATE-ASSIGNMENT))
 (1812 12 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (1707 238 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (1622 1622 (:REWRITE DEFAULT-CAR))
 (1499 1499 (:REWRITE DEFAULT-CDR))
 (1287 571 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (1028 419 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (926 926 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (864 864 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SET-DIFFERENCE-VARIABLES))
 (852 370 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (751 751 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (750 750 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (637 296 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (390 390 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (390 390 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (288 288 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (240 240 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SUBSET-VARIABLESP))
 (200 2 (:DEFINITION PROOF-CHECKER-ITP13::CLAUSEP))
 (108 108 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-TRANSITIVE))
 (86 2 (:DEFINITION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (72 72 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (54 12 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (50 2 (:DEFINITION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (42 42 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SUBSETP))
 (36 2 (:DEFINITION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (24 12 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-CDR))
 (23 23 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (22 22 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (14 14 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE-ASSIGNMENT))
 (12 12 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP))
 (12 12 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP-TRANSITIVE))
 (6 2 (:DEFINITION PROOF-CHECKER-ITP13::NEGATE-ASSIGNMENT))
 (5 5 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-NEGATE-ASSIGNMENT))
 (5 5 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (5 5 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-TRUEP-NEGATE-ASSIGNMENT))
 (5 5 (:REWRITE PROOF-CHECKER-ITP13::EVALUATE-CLAUSE-IMPLIES-TRUEP-EVALUATE-CLAUSE-NEGATE-ASSIGNMENT))
 (4 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (4 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::CLAUSEP))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MV-NTH-1-FIND-UNIT-CLAUSE))
 )
(PROOF-CHECKER-ITP13::FALSEP-EF-UP-IMPLIES-TRUEP-EC-NA
 (22746 139 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (15597 24 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-FORMULA))
 (14662 1454 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (14568 1343 (:DEFINITION MEMBER-EQUAL))
 (14376 1039 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (13632 479 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (10268 8 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-FIND-UNIT-CLAUSE-SUBSETP))
 (9775 92 (:DEFINITION PROOF-CHECKER-ITP13::FIND-UNIT-CLAUSE))
 (7936 16 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (7888 16 (:DEFINITION PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP))
 (7539 1305 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (7458 143 (:REWRITE PROOF-CHECKER-ITP13::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (7436 48 (:DEFINITION PROOF-CHECKER-ITP13::SUBSET-VARIABLESP))
 (7031 142 (:DEFINITION PROOF-CHECKER-ITP13::SET-DIFFERENCE-VARIABLES))
 (5428 744 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (4700 396 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (3527 8 (:DEFINITION PROOF-CHECKER-ITP13::SUBSETP))
 (2913 2913 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (2913 2913 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (2782 2613 (:REWRITE DEFAULT-CAR))
 (2597 2428 (:REWRITE DEFAULT-CDR))
 (2478 1059 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (2161 16 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (1797 744 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (1583 1583 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (1305 1305 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (1304 1304 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (1233 584 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (1200 1200 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (1121 396 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (1118 1118 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SET-DIFFERENCE-VARIABLES))
 (936 936 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIT-PROPAGATION))
 (896 8 (:DEFINITION PROOF-CHECKER-ITP13::FORMULAP))
 (776 8 (:DEFINITION PROOF-CHECKER-ITP13::CLAUSEP))
 (660 660 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (660 660 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (647 647 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (642 474 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (509 509 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (321 321 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SUBSET-VARIABLESP))
 (305 305 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-FORMULA))
 (296 8 (:DEFINITION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (224 8 (:DEFINITION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (217 49 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (200 144 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-TRANSITIVE))
 (200 8 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (144 8 (:DEFINITION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (137 137 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (125 125 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (113 113 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (72 24 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (56 56 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SUBSETP))
 (32 16 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-CDR))
 (32 8 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (32 8 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-CDR))
 (24 24 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (22 22 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-TRUEP-NEGATE-ASSIGNMENT))
 (21 21 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-NEGATE-ASSIGNMENT))
 (21 21 (:REWRITE PROOF-CHECKER-ITP13::EVALUATE-CLAUSE-IMPLIES-TRUEP-EVALUATE-CLAUSE-NEGATE-ASSIGNMENT))
 (17 17 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (16 16 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (16 16 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP))
 (16 16 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (16 16 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP-TRANSITIVE))
 (16 16 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (8 8 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-MV-NTH-0-FIND-UNIT-CLAUSE-MV-NTH-1-FIND-UNIT-CLAUSE))
 )
(PROOF-CHECKER-ITP13::ATP-LEMMA-INDUCTION
 (1232 2 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-FORMULA))
 (1206 8 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (1021 28 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (986 89 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (981 64 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (848 32 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (847 8 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (559 68 (:DEFINITION MEMBER-EQUAL))
 (377 46 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (342 21 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (209 1 (:DEFINITION PROOF-CHECKER-ITP13::UNIT-PROPAGATION))
 (208 1 (:DEFINITION PROOF-CHECKER-ITP13::FIND-UNIT-CLAUSE))
 (154 65 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (136 136 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (136 136 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (112 1 (:DEFINITION PROOF-CHECKER-ITP13::FORMULAP))
 (110 46 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (109 109 (:REWRITE DEFAULT-CAR))
 (102 102 (:REWRITE DEFAULT-CDR))
 (97 1 (:DEFINITION PROOF-CHECKER-ITP13::CLAUSEP))
 (90 90 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (77 37 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (76 76 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (66 66 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (66 66 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (66 66 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (66 66 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (60 21 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (48 48 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIT-PROPAGATION))
 (44 30 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (38 38 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (38 38 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (37 1 (:DEFINITION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (35 35 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (32 32 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (28 28 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-FORMULA))
 (28 1 (:DEFINITION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (27 6 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (25 1 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (18 1 (:DEFINITION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (14 14 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (10 10 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (9 3 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (4 1 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (4 1 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-CDR))
 (3 3 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE-ASSIGNMENT))
 (3 1 (:DEFINITION PROOF-CHECKER-ITP13::NEGATE-ASSIGNMENT))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (1 1 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (1 1 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 )
(PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC
 (1745 9 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (1344 36 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (1215 31 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (999 9 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (399 49 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (361 22 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (332 8 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-NEGATE-NEGATE-CLAUSE))
 (201 13 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (193 193 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (193 193 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (170 74 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (145 145 (:REWRITE DEFAULT-CAR))
 (136 136 (:REWRITE DEFAULT-CDR))
 (116 4 (:REWRITE PROOF-CHECKER-ITP13::LITERALP-NEGATE))
 (99 99 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (96 48 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIT-PROPAGATION))
 (82 82 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (82 82 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (82 82 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (82 82 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (64 64 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE-CLAUSE))
 (41 41 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (41 41 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (39 39 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (36 36 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (23 6 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (16 16 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (13 13 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (13 1 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (12 4 (:DEFINITION PROOF-CHECKER-ITP13::NEGATE-CLAUSE))
 (11 11 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (9 9 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (9 3 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-TRUE))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE
 (1615 8 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (1308 2 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-FORMULA))
 (1244 32 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (1076 28 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (1038 89 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (1022 64 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (981 8 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (563 1 (:DEFINITION PROOF-CHECKER-ITP13::UNIT-PROPAGATION))
 (562 1 (:DEFINITION PROOF-CHECKER-ITP13::FIND-UNIT-CLAUSE))
 (388 46 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (360 21 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (332 8 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-NEGATE-NEGATE-CLAUSE))
 (227 15 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (191 191 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (191 191 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (162 65 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (143 143 (:REWRITE DEFAULT-CAR))
 (139 139 (:REWRITE DEFAULT-CDR))
 (116 46 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (116 4 (:REWRITE PROOF-CHECKER-ITP13::LITERALP-NEGATE))
 (112 1 (:DEFINITION PROOF-CHECKER-ITP13::FORMULAP))
 (96 48 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIT-PROPAGATION))
 (90 90 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (78 78 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (78 78 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (78 78 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (78 78 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (77 37 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (77 18 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (64 64 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE-CLAUSE))
 (63 21 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (46 30 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (38 38 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (38 38 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (35 35 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (32 32 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (28 28 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-FORMULA))
 (27 9 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (18 18 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (15 15 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (14 14 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (14 2 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (10 10 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (4 1 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (4 1 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-CDR))
 (3 1 (:DEFINITION PROOF-CHECKER-ITP13::NEGATE-CLAUSE))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-SOLUTIONP-CONS
 (1187 26 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (1169 8 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (975 89 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (865 8 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (800 32 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (518 19 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (488 65 (:DEFINITION MEMBER-EQUAL))
 (361 46 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (160 64 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (130 130 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (130 130 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (125 46 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (101 101 (:REWRITE DEFAULT-CAR))
 (93 93 (:REWRITE DEFAULT-CDR))
 (87 87 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (75 36 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (69 69 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (64 64 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (64 64 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (64 64 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (64 64 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (37 37 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (37 37 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (37 37 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (36 36 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (32 32 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (14 2 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (13 13 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (13 1 (:DEFINITION PROOF-CHECKER-ITP13::FORMULAP))
 (9 9 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (4 1 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (4 1 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-CDR))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ITP13::EXISTS-SOLUTION-AND-ATP-IMPLIES-EXISTS-SOLUTION
 (23 6 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (14 14 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (13 1 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (9 3 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (8 8 (:REWRITE DEFAULT-CDR))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (7 7 (:REWRITE DEFAULT-CAR))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ITP13::ATP-LEMMA
 (1838 8 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (1432 2 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-FORMULA))
 (1336 32 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (1082 30 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (1004 64 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (958 8 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (786 2 (:DEFINITION PROOF-CHECKER-ITP13::UNIT-PROPAGATION))
 (784 2 (:DEFINITION PROOF-CHECKER-ITP13::FIND-UNIT-CLAUSE))
 (401 25 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (316 44 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (312 16 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-NEGATE-NEGATE-CLAUSE))
 (192 96 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIT-PROPAGATION))
 (177 177 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (177 177 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (175 68 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (139 139 (:REWRITE DEFAULT-CAR))
 (136 8 (:REWRITE PROOF-CHECKER-ITP13::LITERALP-NEGATE))
 (134 134 (:REWRITE DEFAULT-CDR))
 (128 128 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE-CLAUSE))
 (100 1 (:DEFINITION PROOF-CHECKER-ITP13::FORMULAP))
 (96 96 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (79 25 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (77 18 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (70 70 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (70 70 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (70 70 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (70 70 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (50 50 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (49 31 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (40 40 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (40 40 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (40 40 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (40 40 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (38 38 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (34 34 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (32 32 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (27 27 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (27 27 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (27 9 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (14 2 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (13 13 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (6 2 (:DEFINITION PROOF-CHECKER-ITP13::NEGATE-CLAUSE))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (4 1 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (4 1 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-CDR))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ITP13::MODIFY-SOLUTION)
(PROOF-CHECKER-ITP13::ASSIGNMENTP-MODIFY-SOLUTION
 (731 78 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (213 12 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (89 89 (:REWRITE DEFAULT-CDR))
 (73 73 (:REWRITE DEFAULT-CAR))
 (61 61 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (61 61 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (24 24 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (24 24 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (22 22 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (19 19 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (19 19 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (14 2 (:DEFINITION PROOF-CHECKER-ITP13::REMOVE-LITERAL))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::REMOVE-LITERAL))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 )
(PROOF-CHECKER-ITP13::MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE-MODIFY-SOLUTION
 (366 1 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (274 4 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (209 1 (:REWRITE PROOF-CHECKER-ITP13::IFF-TRUEP-EVALUATE-CLAUSE-CONS))
 (192 8 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (186 6 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (165 6 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (158 2 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (156 1 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (142 16 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-REMOVE-LITERAL))
 (72 72 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (70 10 (:DEFINITION PROOF-CHECKER-ITP13::REMOVE-LITERAL))
 (51 48 (:REWRITE DEFAULT-CAR))
 (46 44 (:REWRITE DEFAULT-CDR))
 (33 33 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (33 33 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (28 1 (:DEFINITION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (27 6 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (25 1 (:DEFINITION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (22 22 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (22 22 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (22 2 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (18 1 (:DEFINITION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (17 6 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (15 5 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (14 14 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (13 1 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (9 3 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (5 5 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (5 3 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:REWRITE CDR-CONS))
 (1 1 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 )
(PROOF-CHECKER-ITP13::TRUEP-EC-AND-NOT-MEMBER-NEGATE-IMPLIES-TRUEP-EC-MODIFY-SOLUTION
 (29702 350 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (29352 168 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (3044 3044 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (3044 3044 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (2826 2824 (:REWRITE DEFAULT-CAR))
 (2465 2465 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (2465 2465 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (2399 2397 (:REWRITE DEFAULT-CDR))
 (1478 218 (:DEFINITION PROOF-CHECKER-ITP13::REMOVE-LITERAL))
 (1455 1455 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (1273 753 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (776 776 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (753 753 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (753 753 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (753 753 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (518 518 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (498 83 (:REWRITE PROOF-CHECKER-ITP13::LITERALP-IMPLIES-NOT-EQUAL-NEGATE))
 (226 226 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::REMOVE-LITERAL))
 (181 181 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (166 166 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (83 83 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (83 83 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (83 83 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (2 2 (:REWRITE CDR-CONS))
 (2 2 (:REWRITE CAR-CONS))
 )
(PROOF-CHECKER-ITP13::FIND-CONFLICTING-LITERAL)
(PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP-IMPLIES-FIND-CONFLICTING-LITERAL
 (60 16 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (40 40 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (35 35 (:REWRITE DEFAULT-CAR))
 (32 32 (:REWRITE DEFAULT-CDR))
 (26 26 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (26 26 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (26 26 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (26 26 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (26 26 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (12 4 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ITP13::FIND-CONFLICTING-LITERAL-IMPLIES-MEMBER
 (266 9 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP-IMPLIES-FIND-CONFLICTING-LITERAL))
 (209 11 (:DEFINITION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (117 21 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (78 78 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (64 64 (:REWRITE DEFAULT-CAR))
 (54 18 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (48 48 (:REWRITE DEFAULT-CDR))
 (45 45 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (37 37 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (37 37 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (30 30 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (30 30 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (30 30 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (24 24 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (12 12 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (12 12 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (12 12 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ITP13::FIND-CONFLICTING-LITERAL-IMPLIES-MEMBER-NEGATE
 (440 13 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP-IMPLIES-FIND-CONFLICTING-LITERAL))
 (352 17 (:DEFINITION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (201 33 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (134 134 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (109 109 (:REWRITE DEFAULT-CAR))
 (102 34 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (87 87 (:REWRITE DEFAULT-CDR))
 (70 70 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (70 70 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (69 69 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (51 51 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (51 51 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (51 51 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (42 42 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (21 21 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (21 21 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (21 21 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (6 1 (:REWRITE PROOF-CHECKER-ITP13::LITERALP-IMPLIES-NOT-EQUAL-NEGATE))
 )
(PROOF-CHECKER-ITP13::EXISTS-CONFLICTING-LITERAL)
(PROOF-CHECKER-ITP13::EXISTS-CONFLICTING-LITERAL-SUFF)
(PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP-IMPLIES-EXISTS-CONFLICTING-LITERAL
 (42 2 (:DEFINITION PROOF-CHECKER-ITP13::FIND-CONFLICTING-LITERAL))
 (20 2 (:DEFINITION MEMBER-EQUAL))
 (6 6 (:REWRITE DEFAULT-CDR))
 (6 6 (:REWRITE DEFAULT-CAR))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 )
(PROOF-CHECKER-ITP13::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (3 3 (:REWRITE DEFAULT-CDR))
 (3 3 (:REWRITE DEFAULT-CAR))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (3 1 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 )
(PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE
 (8153 115 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (8038 57 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (1122 1122 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1122 1122 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (826 826 (:REWRITE DEFAULT-CAR))
 (726 726 (:REWRITE DEFAULT-CDR))
 (576 576 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (576 576 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (576 576 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (339 243 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (254 254 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (243 243 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (243 243 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (243 243 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (232 232 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (61 61 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 )
(PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-RESOLVENT-IMPLIES-TRUE-EC-MODIFY-SOLUTION
 (3992 125 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (3752 54 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (3698 37 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (3157 121 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (1642 95 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (1642 10 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (1324 70 (:DEFINITION PROOF-CHECKER-ITP13::UNION))
 (1321 1277 (:REWRITE DEFAULT-CDR))
 (1291 1247 (:REWRITE DEFAULT-CAR))
 (1136 269 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (1068 174 (:DEFINITION PROOF-CHECKER-ITP13::REMOVE-LITERAL))
 (1040 1040 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1040 1040 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (740 740 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (632 17 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (418 2 (:REWRITE PROOF-CHECKER-ITP13::IFF-TRUEP-EVALUATE-CLAUSE-CONS))
 (413 413 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (413 413 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (399 133 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (385 385 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (320 14 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE-MODIFY-SOLUTION))
 (286 130 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (230 14 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EC-AND-NOT-MEMBER-NEGATE-IMPLIES-TRUEP-EC-MODIFY-SOLUTION))
 (186 186 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::MODIFY-SOLUTION))
 (121 121 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (105 105 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (86 86 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (86 86 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (80 80 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (77 77 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (77 77 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (72 72 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (71 71 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (71 71 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (68 68 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (62 17 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (17 17 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE
 (5051 93 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (4982 34 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (4822 340 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (4473 258 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (3889 34 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (3672 136 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (2855 222 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (715 50 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (559 559 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (559 559 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (434 434 (:REWRITE DEFAULT-CAR))
 (382 382 (:REWRITE DEFAULT-CDR))
 (272 272 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (272 272 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (272 272 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (272 272 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (272 272 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (238 125 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (161 161 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (161 161 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (161 161 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (161 161 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (137 47 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (136 136 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (136 136 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (131 95 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (60 60 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-FORMULA))
 (34 34 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (29 29 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (22 22 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-TRUE))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ITP13::SOLUTION-LITERAL-AND-NOT-EQUAL-IMPLIES-TRUE-EVALUATE-CLAUSE-MODIFY-SOLUTION
 (389 1 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (292 4 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (225 1 (:REWRITE PROOF-CHECKER-ITP13::IFF-TRUEP-EVALUATE-CLAUSE-CONS))
 (207 8 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (200 6 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (177 6 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (170 2 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (168 1 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (84 12 (:DEFINITION PROOF-CHECKER-ITP13::REMOVE-LITERAL))
 (50 47 (:REWRITE DEFAULT-CAR))
 (45 42 (:REWRITE DEFAULT-CDR))
 (30 30 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (30 30 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (18 18 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (18 18 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (18 18 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (18 6 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (16 5 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (10 10 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (5 5 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (5 3 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 )
(PROOF-CHECKER-ITP13::CLAUSEP-RESOLUTION)
(PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER
 (307 3 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (304 2 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (271 2 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (216 8 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (210 3 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (192 19 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (167 13 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (128 16 (:DEFINITION MEMBER-EQUAL))
 (119 12 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (39 12 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (32 32 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (32 32 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (26 10 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (24 24 (:REWRITE DEFAULT-CAR))
 (22 22 (:REWRITE DEFAULT-CDR))
 (19 19 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (16 16 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (16 16 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (16 16 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (16 16 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (16 16 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (12 12 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (12 12 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (12 12 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (9 9 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (9 9 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (9 5 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 )
(PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER
 (22 1 (:DEFINITION PROOF-CHECKER-ITP13::UNION))
 (12 12 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (12 2 (:DEFINITION PROOF-CHECKER-ITP13::REMOVE-LITERAL))
 (10 10 (:REWRITE DEFAULT-CDR))
 (10 10 (:REWRITE DEFAULT-CAR))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::REMOVE-LITERAL))
 )
(PROOF-CHECKER-ITP13::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE
 (4256 121 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (3533 62 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (3519 14 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (3504 42 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (3011 175 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (2952 30 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (2787 163 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (1150 142 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (423 142 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (370 142 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (340 121 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (289 289 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (250 250 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (236 236 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (188 188 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (188 188 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (163 163 (:REWRITE DEFAULT-CAR))
 (136 136 (:REWRITE DEFAULT-CDR))
 (121 121 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (121 121 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (121 121 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (121 121 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (121 121 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (121 83 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (113 113 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (79 79 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (78 78 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (63 63 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (48 11 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (44 2 (:DEFINITION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (42 42 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (35 1 (:DEFINITION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (32 32 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (32 32 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (32 32 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (30 30 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (26 2 (:DEFINITION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (25 1 (:DEFINITION PROOF-CHECKER-ITP13::UNION))
 (15 5 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (14 14 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-TRUE))
 (12 2 (:DEFINITION PROOF-CHECKER-ITP13::REMOVE-LITERAL))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-TRUE))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::REMOVE-LITERAL))
 )
(PROOF-CHECKER-ITP13::TRUE-EC-RESOLUTION-IMPLIES-TRUE-EC-MODIFY-SOLUTION
 (1923 54 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (1869 33 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (1089 99 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (805 80 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (569 25 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (311 311 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (311 311 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (294 108 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (176 8 (:DEFINITION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (174 30 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-RESOLVENT-IMPLIES-TRUE-EC-MODIFY-SOLUTION))
 (145 145 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (145 145 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (145 145 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (121 121 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (112 16 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (107 107 (:REWRITE DEFAULT-CAR))
 (99 99 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (98 98 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (92 92 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (92 92 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (90 90 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (82 82 (:REWRITE DEFAULT-CDR))
 (78 30 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EC-AND-NOT-MEMBER-NEGATE-IMPLIES-TRUEP-EC-MODIFY-SOLUTION))
 (76 76 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (72 16 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (54 30 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE-MODIFY-SOLUTION))
 (24 8 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (18 18 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (16 16 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (16 16 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 )
(PROOF-CHECKER-ITP13::ATP-AND-TRUEP-EVALUATE-CLAUSE-IMPLIES-TRUEP-EVALUATE-CLAUSE-MODIFY-SOLUTION
 (3721 40 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (3689 20 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (3631 17 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (3226 77 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (3146 165 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (2869 161 (:DEFINITION MEMBER-EQUAL))
 (1886 2 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-FORMULA))
 (1659 93 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (1009 19 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (831 69 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (478 478 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (476 476 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (476 476 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (339 4 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-RESOLVENT-IMPLIES-TRUE-EC-MODIFY-SOLUTION))
 (308 72 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (306 292 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (273 110 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (253 245 (:REWRITE DEFAULT-CAR))
 (238 93 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (232 224 (:REWRITE DEFAULT-CDR))
 (162 3 (:DEFINITION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (154 154 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (152 152 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (152 152 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (152 152 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (121 63 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (121 4 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EC-AND-NOT-MEMBER-NEGATE-IMPLIES-TRUEP-EC-MODIFY-SOLUTION))
 (77 77 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (68 68 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (66 66 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (63 63 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (51 9 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (40 40 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::MODIFY-SOLUTION))
 (27 6 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (21 4 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE-MODIFY-SOLUTION))
 (19 19 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::RESOLUTION))
 (17 17 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (12 12 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (9 9 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (9 3 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-CDR))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::SOLUTION-LITERAL-AND-NOT-EQUAL-IMPLIES-TRUE-EVALUATE-CLAUSE-MODIFY-SOLUTION))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 )
(PROOF-CHECKER-ITP13::TRUEP-EC-AND-RATP1-IMPLIES-TRUEP-EC-MODIFY-SOLUTION
 (62058 972 (:REWRITE PROOF-CHECKER-ITP13::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (61572 324 (:DEFINITION PROOF-CHECKER-ITP13::SUBSET-VARIABLESP))
 (59160 1008 (:DEFINITION PROOF-CHECKER-ITP13::SET-DIFFERENCE-VARIABLES))
 (53010 99 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (52719 96 (:DEFINITION PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP))
 (40905 99 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-CDR))
 (30303 99 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (14037 1695 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (13752 163 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (13619 97 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (11614 3504 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (9612 291 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (9578 9578 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (9578 9578 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (7992 7992 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SET-DIFFERENCE-VARIABLES))
 (7816 7780 (:REWRITE DEFAULT-CAR))
 (7799 7763 (:REWRITE DEFAULT-CDR))
 (6133 5923 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (4461 9 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-FORMULA))
 (3504 3504 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (3504 3504 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (3504 3504 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (2745 81 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (2109 2109 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SUBSET-VARIABLESP))
 (1295 148 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (1171 20 (:REWRITE PROOF-CHECKER-ITP13::TRUE-EC-RESOLUTION-IMPLIES-TRUE-EC-MODIFY-SOLUTION))
 (972 972 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-TRANSITIVE))
 (962 148 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (844 369 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (291 291 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (279 62 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (269 269 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (215 215 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (180 180 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::MODIFY-SOLUTION))
 (159 18 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE-MODIFY-SOLUTION))
 (148 148 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (148 148 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (148 148 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (96 96 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP))
 (96 96 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP-TRANSITIVE))
 (93 31 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (54 54 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (45 45 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (30 30 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (30 30 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (30 30 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (20 20 (:REWRITE PROOF-CHECKER-ITP13::SOLUTION-LITERAL-AND-NOT-EQUAL-IMPLIES-TRUE-EVALUATE-CLAUSE-MODIFY-SOLUTION))
 (12 12 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-CDR))
 (9 9 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ITP13::SUBSETP-REFLEXIVE
 (6286 145 (:REWRITE PROOF-CHECKER-ITP13::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (6267 54 (:DEFINITION PROOF-CHECKER-ITP13::SUBSET-VARIABLESP))
 (6078 18 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (6013 15 (:DEFINITION PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP))
 (5882 151 (:DEFINITION PROOF-CHECKER-ITP13::SET-DIFFERENCE-VARIABLES))
 (2622 18 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (2018 709 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (939 939 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SET-DIFFERENCE-VARIABLES))
 (766 766 (:REWRITE DEFAULT-CAR))
 (711 711 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (711 711 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (611 145 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-TRANSITIVE))
 (489 489 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (303 303 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SUBSET-VARIABLESP))
 (298 284 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (284 284 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (284 284 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (284 284 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (252 252 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (126 126 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (116 8 (:DEFINITION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (82 14 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (54 54 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (42 14 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (32 32 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (15 15 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP))
 (15 15 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUAL-VARIABLESP-TRANSITIVE))
 (12 12 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ITP13::TRUEP-EC-AND-RATP-IMPLIES-TRUEP-EC-MODIFY-SOLUTION
 (2227 23 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (2210 14 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (1435 98 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (1416 42 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (477 1 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-FORMULA))
 (431 2 (:REWRITE PROOF-CHECKER-ITP13::ATP-AND-TRUEP-EVALUATE-CLAUSE-IMPLIES-TRUEP-EVALUATE-CLAUSE-MODIFY-SOLUTION))
 (418 40 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (368 7 (:DEFINITION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (284 284 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (284 284 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (284 284 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (267 2 (:REWRITE PROOF-CHECKER-ITP13::TRUE-EC-RESOLUTION-IMPLIES-TRUE-EC-MODIFY-SOLUTION))
 (221 7 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (204 2 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-RESOLVENT-IMPLIES-TRUE-EC-MODIFY-SOLUTION))
 (203 19 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (177 2 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EC-AND-NOT-MEMBER-NEGATE-IMPLIES-TRUEP-EC-MODIFY-SOLUTION))
 (174 160 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (158 20 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (154 148 (:REWRITE DEFAULT-CAR))
 (146 140 (:REWRITE DEFAULT-CDR))
 (98 98 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (98 98 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (98 98 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (95 51 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (80 80 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (63 14 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (42 42 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (38 38 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (33 2 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE-MODIFY-SOLUTION))
 (32 32 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (30 30 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::MODIFY-SOLUTION))
 (22 22 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::RESOLUTION))
 (21 7 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (20 20 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (20 20 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (20 20 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (4 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-CDR))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::SOLUTION-LITERAL-AND-NOT-EQUAL-IMPLIES-TRUE-EVALUATE-CLAUSE-MODIFY-SOLUTION))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ITP13::FIND-FALSE-CLAUSE)
(PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-IMPLIES-FIND-FALSE-CLAUSE
 (5557 93 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (5488 32 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (4808 32 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (4608 128 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (2970 280 (:DEFINITION MEMBER-EQUAL))
 (574 12 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (560 560 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (560 560 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (560 560 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (560 560 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (475 475 (:REWRITE DEFAULT-CAR))
 (452 12 (:DEFINITION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (445 445 (:REWRITE DEFAULT-CDR))
 (324 72 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (320 320 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (299 12 (:DEFINITION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (280 280 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (280 280 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (280 280 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (280 280 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (280 280 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (216 216 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (176 12 (:DEFINITION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (144 144 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (144 144 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (144 144 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (144 144 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (144 144 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (140 140 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (137 137 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (128 128 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (108 36 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (32 32 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (32 32 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (25 25 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (17 17 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (14 14 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-FALSE))
 (14 14 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (14 14 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (14 14 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (12 12 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (12 12 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (12 12 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (12 12 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-UNDEF))
 (8 2 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-CDR))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-TRUE))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ITP13::FIND-FALSE-CLAUSE-IMPLIES-CLAUSEP
 (10121 159 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (9994 58 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (9555 382 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (8352 232 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (7914 58 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (6168 8 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-IMPLIES-FIND-FALSE-CLAUSE))
 (6072 8 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-FORMULA))
 (4085 293 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (4034 84 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (1026 1026 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1026 1026 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (1026 1026 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (1014 386 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (1008 1008 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (861 861 (:REWRITE DEFAULT-CAR))
 (811 811 (:REWRITE DEFAULT-CDR))
 (541 122 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (506 506 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (506 506 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (506 506 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (506 506 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (506 506 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (358 358 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (341 84 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (262 182 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (253 253 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (235 235 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (234 234 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (234 234 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (234 234 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (234 234 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (234 234 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (232 232 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (183 61 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (88 19 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (72 72 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-FORMULA))
 (58 58 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (32 32 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (30 30 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (30 30 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (30 30 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (24 24 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (21 21 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (21 21 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (20 5 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-CDR))
 (16 16 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ITP13::FIND-FALSE-CLAUSE-IMPLIES-MEMBER
 (8747 278 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (8095 103 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (7992 50 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (7200 200 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (7145 50 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (4160 231 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (3744 66 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (2601 7 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-IMPLIES-FIND-FALSE-CLAUSE))
 (2570 17 (:DEFINITION PROOF-CHECKER-ITP13::FORMULAP))
 (1789 27 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-CDR))
 (1787 17 (:DEFINITION PROOF-CHECKER-ITP13::CLAUSEP))
 (909 909 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (909 909 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (909 909 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (899 899 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (880 22 (:DEFINITION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (806 806 (:REWRITE DEFAULT-CAR))
 (748 748 (:REWRITE DEFAULT-CDR))
 (645 272 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (638 22 (:DEFINITION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (594 132 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (444 444 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (444 444 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (444 444 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (444 444 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (444 444 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (444 22 (:DEFINITION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (396 396 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (289 66 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (222 222 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (200 200 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (198 66 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (194 194 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (178 178 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (178 178 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (178 178 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (178 178 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (178 178 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (132 132 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (132 132 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (125 125 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (110 110 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (109 109 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::FORMULAP))
 (92 22 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (50 50 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (44 44 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (34 17 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (22 22 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (22 22 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (17 17 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ITP13::FIND-FALSE-CLAUSE-IMPLIES-FALSEP-EVALUATE-CLAUSE
 (5555 190 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (5525 71 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (5454 34 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (4896 136 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (4880 34 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (3261 303 (:DEFINITION MEMBER-EQUAL))
 (3211 161 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (1990 40 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (1655 5 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-IMPLIES-FIND-FALSE-CLAUSE))
 (1634 11 (:DEFINITION PROOF-CHECKER-ITP13::FORMULAP))
 (1153 11 (:DEFINITION PROOF-CHECKER-ITP13::CLAUSEP))
 (1075 17 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-CDR))
 (606 606 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (606 606 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (606 606 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (600 600 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (560 14 (:DEFINITION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (519 519 (:REWRITE DEFAULT-CAR))
 (493 493 (:REWRITE DEFAULT-CDR))
 (460 182 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (427 427 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (406 14 (:DEFINITION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (378 84 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (300 300 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (300 300 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (300 300 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (300 300 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (300 300 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (280 14 (:DEFINITION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (252 252 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (173 40 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (150 150 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (136 136 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (129 129 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (126 42 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (122 122 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (122 122 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (122 122 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (122 122 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (122 122 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (84 84 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (84 84 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (84 84 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (71 71 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::FORMULAP))
 (70 70 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (56 14 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (34 34 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (28 28 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (22 11 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (14 14 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (14 14 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (11 11 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ITP13::EXISTS-FALSE-CLAUSE)
(PROOF-CHECKER-ITP13::EXISTS-FALSE-CLAUSE-SUFF)
(PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-IMPLIES-EXISTS-FALSE-CLAUSE
 (2754 6 (:DEFINITION PROOF-CHECKER-ITP13::FIND-FALSE-CLAUSE))
 (2466 116 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (2405 72 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (2063 26 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (2037 13 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (1930 13 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (1872 52 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (1170 18 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (1092 104 (:DEFINITION MEMBER-EQUAL))
 (996 60 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (208 208 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (208 208 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (208 208 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (208 208 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (168 168 (:REWRITE DEFAULT-CAR))
 (160 71 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (156 60 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (149 149 (:REWRITE DEFAULT-CDR))
 (110 110 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (104 104 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (104 104 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (104 104 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (104 104 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (104 104 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (83 39 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (78 18 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (52 52 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (52 52 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (51 51 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (46 46 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (46 46 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (46 46 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (46 46 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (46 46 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (32 32 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (13 13 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 )
(PROOF-CHECKER-ITP13::FIND-UNDEF-CLAUSE)
(PROOF-CHECKER-ITP13::UNDEFP-EVALUATE-FORMULA-IMPLIES-FIND-UNDEF-CLAUSE
 (8627 163 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (8524 48 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (7592 48 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (6912 192 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (4458 420 (:DEFINITION MEMBER-EQUAL))
 (913 18 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (840 840 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (840 840 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (840 840 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (840 840 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (713 713 (:REWRITE DEFAULT-CAR))
 (680 18 (:DEFINITION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (666 666 (:REWRITE DEFAULT-CDR))
 (486 108 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (484 484 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (452 18 (:DEFINITION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (420 420 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (420 420 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (420 420 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (420 420 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (420 420 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (324 324 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (266 18 (:DEFINITION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (243 243 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (243 243 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (243 243 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (243 243 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (243 243 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (223 223 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (210 210 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (192 192 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (162 54 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (48 48 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (43 43 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (41 41 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (26 26 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (24 24 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-FALSE))
 (20 20 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (20 20 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (20 20 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (18 18 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (18 18 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (18 18 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (18 18 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (16 16 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-UNDEF))
 (10 10 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-TRUE))
 (8 2 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-CDR))
 )
(PROOF-CHECKER-ITP13::FIND-UNDEF-CLAUSE-IMPLIES-CLAUSEP
 (11155 243 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (11012 58 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (8539 58 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (8352 232 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (7919 619 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (7677 442 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (6192 8 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-EVALUATE-FORMULA-IMPLIES-FIND-UNDEF-CLAUSE))
 (6096 8 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-FORMULA))
 (1026 1026 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1026 1026 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (1026 1026 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (1008 1008 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (972 332 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (861 861 (:REWRITE DEFAULT-CAR))
 (811 811 (:REWRITE DEFAULT-CDR))
 (543 262 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (541 122 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (506 506 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (506 506 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (506 506 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (506 506 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (506 506 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (505 212 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (358 358 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (302 302 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (302 302 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (302 302 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (302 302 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (302 302 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (289 289 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (253 253 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (239 111 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (232 232 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (183 61 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (88 19 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (64 64 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-FORMULA))
 (58 58 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (40 40 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (30 30 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (30 30 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (30 30 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (24 24 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (24 24 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (21 21 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (21 21 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (20 5 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-CDR))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ITP13::FIND-UNDEF-CLAUSE-IMPLIES-MEMBER
 (9632 232 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (9500 50 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (8075 50 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (7200 200 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (6137 522 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (5920 378 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (2601 7 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-EVALUATE-FORMULA-IMPLIES-FIND-UNDEF-CLAUSE))
 (2570 17 (:DEFINITION PROOF-CHECKER-ITP13::FORMULAP))
 (1789 27 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-CDR))
 (1787 17 (:DEFINITION PROOF-CHECKER-ITP13::CLAUSEP))
 (909 909 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (909 909 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (909 909 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (900 300 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (899 899 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (880 22 (:DEFINITION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (806 806 (:REWRITE DEFAULT-CAR))
 (748 748 (:REWRITE DEFAULT-CDR))
 (638 22 (:DEFINITION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (594 132 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (503 185 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (497 235 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (444 444 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (444 444 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (444 444 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (444 444 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (444 444 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (444 22 (:DEFINITION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (396 396 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (278 278 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (278 278 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (278 278 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (278 278 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (278 278 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (272 272 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (222 222 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (200 200 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (198 66 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (132 132 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (132 132 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (110 110 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (109 109 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::FORMULAP))
 (92 22 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (69 69 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (50 50 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (44 44 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (34 17 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (22 22 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (22 22 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (17 17 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ITP13::FIND-UNDEF-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE
 (6541 149 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (6460 34 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (5491 34 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (4896 136 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (4179 353 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (3971 258 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (3261 303 (:DEFINITION MEMBER-EQUAL))
 (1655 5 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-EVALUATE-FORMULA-IMPLIES-FIND-UNDEF-CLAUSE))
 (1634 11 (:DEFINITION PROOF-CHECKER-ITP13::FORMULAP))
 (1153 11 (:DEFINITION PROOF-CHECKER-ITP13::CLAUSEP))
 (1075 17 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-CDR))
 (612 204 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (606 606 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (606 606 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (606 606 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (600 600 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (560 14 (:DEFINITION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (519 519 (:REWRITE DEFAULT-CAR))
 (493 493 (:REWRITE DEFAULT-CDR))
 (427 427 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (406 14 (:DEFINITION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (378 84 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (331 152 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (301 118 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (300 300 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (300 300 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (300 300 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (300 300 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (300 300 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (280 14 (:DEFINITION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (252 252 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (190 190 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (190 190 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (190 190 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (190 190 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (190 190 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (183 183 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (150 150 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (136 136 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (126 42 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (84 84 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (84 84 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (71 71 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::FORMULAP))
 (70 70 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (56 14 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (43 43 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (34 34 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (28 28 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (22 11 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (14 14 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (14 14 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (11 11 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ITP13::EXISTS-UNDEF-CLAUSE)
(PROOF-CHECKER-ITP13::EXISTS-UNDEF-CLAUSE-SUFF)
(PROOF-CHECKER-ITP13::UNDEFP-EVALUATE-FORMULA-IMPLIES-EXISTS-UNDEF-CLAUSE
 (3156 6 (:DEFINITION PROOF-CHECKER-ITP13::FIND-UNDEF-CLAUSE))
 (2447 62 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (2409 13 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (2164 13 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (1872 52 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (1638 134 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (1607 96 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (1092 104 (:DEFINITION MEMBER-EQUAL))
 (1032 78 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (394 107 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (234 78 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (208 208 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (208 208 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (208 208 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (208 208 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (182 182 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (168 168 (:REWRITE DEFAULT-CAR))
 (149 149 (:REWRITE DEFAULT-CDR))
 (140 50 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (125 63 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (104 104 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (104 104 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (104 104 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (104 104 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (104 104 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (70 70 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (70 70 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (70 70 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (70 70 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (70 70 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (69 69 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (54 18 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (52 52 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (52 52 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (18 18 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (13 13 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 )
(PROOF-CHECKER-ITP13::MEMBER-CDR
 (5 5 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (5 5 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (5 5 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (5 5 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (2 2 (:REWRITE DEFAULT-CAR))
 )
(PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-AND-RATP-IMPLIES-TRUEP-EVALUATE-FORMULA-MODIFY-SOLUTION
 (914992 5967 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (907705 1587 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (798927 3415 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (517650 1206 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (443918 8567 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-REMOVE-LITERAL))
 (243900 38185 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (111411 25 (:DEFINITION PROOF-CHECKER-ITP13::UNIT-PROPAGATION))
 (111386 25 (:DEFINITION PROOF-CHECKER-ITP13::FIND-UNIT-CLAUSE))
 (101188 66450 (:REWRITE DEFAULT-CDR))
 (98396 200 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-NEGATE-NEGATE-CLAUSE))
 (95707 29932 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (80907 80907 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (71929 71929 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (71929 71929 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (47016 126 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-UNION))
 (46638 252 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-REMOVE-LITERAL))
 (43307 42549 (:REWRITE DEFAULT-CAR))
 (38045 38045 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (38045 38045 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (33655 33655 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (30069 126 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION))
 (24025 478 (:REWRITE PROOF-CHECKER-ITP13::ATP-AND-TRUEP-EVALUATE-CLAUSE-IMPLIES-TRUEP-EVALUATE-CLAUSE-MODIFY-SOLUTION))
 (23753 478 (:REWRITE PROOF-CHECKER-ITP13::TRUE-EC-RESOLUTION-IMPLIES-TRUE-EC-MODIFY-SOLUTION))
 (19867 19867 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (19588 2622 (:DEFINITION PROOF-CHECKER-ITP13::REMOVE-LITERAL))
 (15142 988 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (13440 6720 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIT-PROPAGATION))
 (11896 2872 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (8268 8268 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE-CLAUSE))
 (8236 478 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EC-AND-NOT-MEMBER-NEGATE-IMPLIES-TRUEP-EC-MODIFY-SOLUTION))
 (7483 478 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-RESOLVENT-IMPLIES-TRUE-EC-MODIFY-SOLUTION))
 (6848 486 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-CDR))
 (6532 5186 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (5967 5967 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (5875 5875 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (5875 5875 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (5838 5838 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (5756 140 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (5207 100 (:REWRITE PROOF-CHECKER-ITP13::LITERALP-NEGATE))
 (5057 5057 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (4308 1436 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (4008 478 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE-MODIFY-SOLUTION))
 (3546 478 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EC-AND-RATP1-IMPLIES-TRUEP-EC-MODIFY-SOLUTION))
 (3131 31 (:DEFINITION PROOF-CHECKER-ITP13::UNION))
 (2927 222 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EC-AND-RATP-IMPLIES-TRUEP-EC-MODIFY-SOLUTION))
 (2263 2263 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (2022 66 (:REWRITE PROOF-CHECKER-ITP13::NEGATE-NEGATE))
 (1532 1490 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (1479 1479 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::RESOLUTION))
 (1445 65 (:REWRITE PROOF-CHECKER-ITP13::LITERALP-IMPLIES-NOT-EQUAL-NEGATE))
 (1255 1255 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (1216 1216 (:REWRITE CDR-CONS))
 (888 888 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (624 624 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (478 478 (:REWRITE PROOF-CHECKER-ITP13::SOLUTION-LITERAL-AND-NOT-EQUAL-IMPLIES-TRUE-EVALUATE-CLAUSE-MODIFY-SOLUTION))
 (178 178 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (175 25 (:DEFINITION PROOF-CHECKER-ITP13::NEGATE-CLAUSE))
 (140 140 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (140 140 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (119 119 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-TRUE))
 (5 5 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-REMOVE-LITERAL))
 )
(PROOF-CHECKER-ITP13::EQUAL-FALSEP-EVALUATE-FORMULA-CONS
 (11579 83 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (11524 25 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (11100 100 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (8273 25 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (7828 259 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (7727 433 (:DEFINITION MEMBER-EQUAL))
 (7624 1062 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-CDR))
 (7526 189 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (4132 146 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (2611 2611 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1062 1062 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1062 1062 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (1062 1062 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (909 909 (:REWRITE DEFAULT-CDR))
 (677 123 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (623 188 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (538 538 (:REWRITE DEFAULT-CAR))
 (500 500 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (500 500 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (500 500 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (500 500 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (400 400 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (400 400 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (280 280 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (209 106 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (200 200 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (159 85 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (119 119 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (119 119 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (119 119 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (119 119 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (112 112 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (100 100 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (47 47 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-FORMULA))
 (25 25 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (21 21 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (18 18 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (5 5 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-UNDEF))
 )
(PROOF-CHECKER-ITP13::EXISTS-SOLUTION-AND-RATP-AND-TRUEP-IMPLIES-EXISTS-SOLUTION
 (3094 5 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (3027 3 (:DEFINITION PROOF-CHECKER-ITP13::ATP))
 (2952 3 (:DEFINITION PROOF-CHECKER-ITP13::UNIT-PROPAGATION))
 (2949 3 (:DEFINITION PROOF-CHECKER-ITP13::FIND-UNIT-CLAUSE))
 (2868 15 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (2187 102 (:DEFINITION MEMBER-EQUAL))
 (1449 18 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-NEGATE-NEGATE-CLAUSE))
 (1317 279 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-CDR))
 (1010 1 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-SOLUTIONP-CONS))
 (1010 1 (:REWRITE PROOF-CHECKER-ITP13::EXISTS-SOLUTION-AND-ATP-IMPLIES-EXISTS-SOLUTION))
 (1010 1 (:REWRITE PROOF-CHECKER-ITP13::ATP-LEMMA))
 (684 27 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (369 9 (:REWRITE PROOF-CHECKER-ITP13::LITERALP-NEGATE))
 (348 37 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (346 42 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (301 97 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (293 17 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (279 279 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (276 276 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (276 276 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (234 1 (:REWRITE PROOF-CHECKER-ITP13::TRUE-EC-RESOLUTION-IMPLIES-TRUE-EC-MODIFY-SOLUTION))
 (225 168 (:REWRITE DEFAULT-CDR))
 (162 162 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE-CLAUSE))
 (162 8 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (141 1 (:REWRITE PROOF-CHECKER-ITP13::ATP-AND-TRUEP-EVALUATE-CLAUSE-IMPLIES-TRUEP-EVALUATE-CLAUSE-MODIFY-SOLUTION))
 (134 134 (:REWRITE DEFAULT-CAR))
 (131 1 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-RESOLVENT-IMPLIES-TRUE-EC-MODIFY-SOLUTION))
 (115 1 (:DEFINITION PROOF-CHECKER-ITP13::RESOLUTION))
 (111 1 (:DEFINITION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (101 1 (:DEFINITION PROOF-CHECKER-ITP13::UNION))
 (96 96 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (96 96 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (96 96 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (85 85 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (77 54 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (63 1 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-REMOVE-LITERAL))
 (55 1 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EC-AND-NOT-MEMBER-NEGATE-IMPLIES-TRUEP-EC-MODIFY-SOLUTION))
 (45 15 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (44 10 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (36 22 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (34 13 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (31 31 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (30 15 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (29 11 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (26 1 (:DEFINITION PROOF-CHECKER-ITP13::FORMULAP))
 (19 1 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EC-AND-RATP-IMPLIES-TRUEP-EC-MODIFY-SOLUTION))
 (19 1 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (18 18 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-FORMULA))
 (18 18 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (17 17 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (15 15 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (14 14 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::REMOVE-LITERAL))
 (13 13 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (13 2 (:DEFINITION PROOF-CHECKER-ITP13::REMOVE-LITERAL))
 (10 10 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (10 10 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (10 10 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (10 5 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNION))
 (9 9 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (9 9 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (9 3 (:DEFINITION PROOF-CHECKER-ITP13::NEGATE-CLAUSE))
 (9 2 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (8 5 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (8 5 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (5 5 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (5 5 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (3 1 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EC-AND-RATP1-IMPLIES-TRUEP-EC-MODIFY-SOLUTION))
 (1 1 (:REWRITE PROOF-CHECKER-ITP13::SOLUTION-LITERAL-AND-NOT-EQUAL-IMPLIES-TRUE-EVALUATE-CLAUSE-MODIFY-SOLUTION))
 (1 1 (:REWRITE CDR-CONS))
 (1 1 (:REWRITE CAR-CONS))
 )
(PROOF-CHECKER-ITP13::FIND-UNDEF-LITERAL)
(PROOF-CHECKER-ITP13::UNDEFP-EC-IMPLIES-FIND-UNDEF-LITERAL
 (9619 74 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (9561 41 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (8577 1150 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-CDR))
 (7420 558 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (5923 264 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (5569 251 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (2823 9 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (1150 1150 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1150 1150 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (1150 1150 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (898 898 (:REWRITE DEFAULT-CDR))
 (719 227 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (649 649 (:REWRITE DEFAULT-CAR))
 (622 622 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (558 558 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (558 558 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (558 558 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (364 200 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (291 291 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (234 136 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (201 201 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (168 168 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (136 136 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (136 136 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (136 136 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (134 134 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (102 28 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (99 99 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (68 68 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (47 17 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (45 45 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (30 30 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-TRUE))
 (28 28 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-UNDEF))
 (18 6 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (17 17 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-FALSEP))
 (9 9 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (9 9 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-FALSE))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (5 5 (:REWRITE PROOF-CHECKER-ITP13::LITERALP-IMPLIES-NOT-EQUAL-NEGATE))
 )
(PROOF-CHECKER-ITP13::FIND-UNDEF-LITERAL-IMPLIES-MEMBER-CLAUSE
 (21173 15 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-EC-IMPLIES-FIND-UNDEF-LITERAL))
 (21113 20 (:DEFINITION PROOF-CHECKER-ITP13::CLAUSEP))
 (18559 24 (:DEFINITION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (16304 780 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (12593 63 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (12530 63 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (11900 252 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (10647 63 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (7845 357 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (7098 287 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (6552 259 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (5829 5 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-CDR))
 (1721 24 (:DEFINITION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (1638 1638 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1638 1638 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (1638 1638 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (1354 1354 (:REWRITE DEFAULT-CDR))
 (931 931 (:REWRITE DEFAULT-CAR))
 (921 921 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (831 145 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (780 780 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (780 780 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (780 780 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (637 259 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (554 554 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (504 25 (:DEFINITION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (453 161 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (396 132 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (357 259 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (315 315 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (256 256 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (252 252 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (252 154 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (161 161 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (161 161 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (161 161 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (161 161 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (154 154 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (105 105 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (105 105 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (98 98 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (86 86 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (63 63 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (63 63 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (29 29 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (29 29 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (29 29 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (20 20 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::CLAUSEP))
 (20 20 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ITP13::FIND-UNDEF-LITERAL-IMPLIES-NOT-MEMBER-ASSIGNMENT
 (18777 13 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-EC-IMPLIES-FIND-UNDEF-LITERAL))
 (18723 18 (:DEFINITION PROOF-CHECKER-ITP13::CLAUSEP))
 (16351 22 (:DEFINITION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (14241 675 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (13919 1458 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-CDR))
 (10794 54 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (10740 54 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (10200 216 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (9126 54 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (6984 306 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (6084 246 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (5919 5 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-CDR))
 (5616 222 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (1603 22 (:DEFINITION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (1458 1458 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1458 1458 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (1458 1458 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (1205 1205 (:REWRITE DEFAULT-CDR))
 (814 814 (:REWRITE DEFAULT-CAR))
 (800 800 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (777 133 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (675 675 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (675 675 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (675 675 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (648 138 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (546 222 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (518 518 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (470 23 (:DEFINITION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (378 126 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (306 222 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (270 270 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (222 222 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (216 216 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (216 132 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (138 138 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (138 138 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (138 138 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (138 138 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (132 132 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (95 95 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (95 95 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (84 84 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (78 78 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (59 59 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (54 54 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (27 27 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (27 27 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (27 27 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (18 18 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::CLAUSEP))
 (18 18 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ITP13::FIND-UNDEF-LITERAL-IMPLIES-NOT-MEMBER-NEGATE-ASSIGNMENT
 (18933 13 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-EC-IMPLIES-FIND-UNDEF-LITERAL))
 (18879 18 (:DEFINITION PROOF-CHECKER-ITP13::CLAUSEP))
 (16507 22 (:DEFINITION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (14432 740 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (14114 1458 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-CDR))
 (10794 54 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (10740 54 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (10200 216 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (9126 54 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (7140 306 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (6084 246 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (5971 5 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-CDR))
 (5616 222 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (1603 22 (:DEFINITION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (1458 1458 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1458 1458 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (1458 1458 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (1205 1205 (:REWRITE DEFAULT-CDR))
 (814 814 (:REWRITE DEFAULT-CAR))
 (804 138 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (800 800 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (777 133 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (740 740 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (740 740 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (740 740 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (546 222 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (518 518 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (470 23 (:DEFINITION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (378 126 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (306 222 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (270 270 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
 (248 248 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (216 216 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (216 132 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (138 138 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (138 138 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (138 138 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (138 138 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (132 132 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (95 95 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (95 95 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (84 84 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (78 78 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (59 59 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (54 54 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (27 27 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (27 27 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (27 27 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (18 18 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::CLAUSEP))
 (18 18 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ITP13::EXISTS-UNDEF-LITERAL)
(PROOF-CHECKER-ITP13::EXISTS-UNDEF-LITERAL-SUFF)
(PROOF-CHECKER-ITP13::UNDEFP-EC-IMPLIES-EXISTS-UNDEF-LITERAL
 (456 63 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-CDR))
 (348 3 (:DEFINITION PROOF-CHECKER-ITP13::FIND-UNDEF-LITERAL))
 (69 69 (:REWRITE DEFAULT-CDR))
 (69 18 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (63 63 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (63 63 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (63 63 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (45 45 (:REWRITE DEFAULT-CAR))
 (42 42 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (30 30 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (30 30 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (30 30 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (30 30 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (27 9 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (24 24 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (12 12 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ITP13::TRUEP-EF-IMPLIES-TRUEP-EF-CONS
 (41750 156 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (41656 65 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (36699 195 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (27903 3656 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-CDR))
 (7394 308 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (5121 334 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-FALSE))
 (3656 3656 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (3656 3656 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (3656 3656 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (3099 3099 (:REWRITE DEFAULT-CDR))
 (2300 2300 (:REWRITE DEFAULT-CAR))
 (1599 1599 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (1599 1599 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (1599 1599 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (1599 1599 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (1482 1482 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (1270 1216 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (702 702 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (312 312 (:REWRITE CDR-CONS))
 (311 311 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (311 311 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (311 311 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (311 311 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (228 228 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (195 195 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (184 184 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (156 156 (:REWRITE CAR-CONS))
 (66 66 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (60 60 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (19 19 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (14 14 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-TRUE))
 )
(PROOF-CHECKER-ITP13::EQUAL-UNDEFP-EVALUATE-FORMULA-CONS
 (11072 75 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (11021 24 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
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 (106 106 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
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 )
(PROOF-CHECKER-ITP13::TRUEP-EF-AND-UNDEFP-EF-CONS-IMPLIES-EXISTS-SOLUTION
 (17102 31 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (15489 93 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (12390 15 (:DEFINITION PROOF-CHECKER-ITP13::ATP))
 (12015 15 (:DEFINITION PROOF-CHECKER-ITP13::UNIT-PROPAGATION))
 (12000 15 (:DEFINITION PROOF-CHECKER-ITP13::FIND-UNIT-CLAUSE))
 (10722 1702 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-CDR))
 (5220 90 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-NEGATE-NEGATE-CLAUSE))
 (5198 65 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (4135 5 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-SOLUTIONP-CONS))
 (4135 5 (:REWRITE PROOF-CHECKER-ITP13::EXISTS-SOLUTION-AND-ATP-IMPLIES-EXISTS-SOLUTION))
 (4135 5 (:REWRITE PROOF-CHECKER-ITP13::ATP-LEMMA))
 (3500 161 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 (3162 150 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (2419 634 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (1845 45 (:REWRITE PROOF-CHECKER-ITP13::LITERALP-NEGATE))
 (1702 1702 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
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 (1702 1702 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
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 (1046 3 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-EC-IMPLIES-EXISTS-UNDEF-LITERAL))
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 (810 810 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE-CLAUSE))
 (634 634 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (634 634 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (634 634 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
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 (253 253 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
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 (206 97 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
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 (161 161 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (159 15 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (157 157 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-FORMULA))
 (134 86 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-IMPLIES-NOT-UNDEFP))
 (129 129 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (93 93 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (80 80 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (80 80 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (78 78 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
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 (63 63 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
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 (26 26 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (24 6 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-IMPLIES-CLAUSEP-CAR))
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 )
(PROOF-CHECKER-ITP13::SOLUTIONP-AND-TRUEP-EF-CONS-IMPLIES-EXISTS-SOLUTION
 (13565 22 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (12672 88 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (10305 69 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (9690 3 (:DEFINITION PROOF-CHECKER-ITP13::ATP))
 (8653 449 (:DEFINITION MEMBER-EQUAL))
 (8262 1068 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-CDR))
 (7347 22 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (6076 250 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (4331 59 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-FALSEP))
 (3321 3 (:DEFINITION PROOF-CHECKER-ITP13::UNIT-PROPAGATION))
 (3318 3 (:DEFINITION PROOF-CHECKER-ITP13::FIND-UNIT-CLAUSE))
 (3231 1 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-SOLUTIONP-CONS))
 (3231 1 (:REWRITE PROOF-CHECKER-ITP13::EXISTS-SOLUTION-AND-ATP-IMPLIES-EXISTS-SOLUTION))
 (3231 1 (:REWRITE PROOF-CHECKER-ITP13::ATP-LEMMA))
 (3151 1 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EF-AND-UNDEFP-EF-CONS-IMPLIES-EXISTS-SOLUTION))
 (3000 123 (:REWRITE PROOF-CHECKER-ITP13::UNDEFP-IMPLIES-NOT-TRUEP))
 (2749 2749 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1392 888 (:REWRITE DEFAULT-CDR))
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 (1068 1068 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (1068 1068 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
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 (492 12 (:REWRITE PROOF-CHECKER-ITP13::LITERALP-NEGATE))
 (474 474 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (474 474 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
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 (474 474 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (474 26 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (466 114 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
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 (250 250 (:REWRITE PROOF-CHECKER-ITP13::TERNARYP-EVALUATE-CLAUSE))
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 (106 106 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
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 (106 106 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (106 106 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
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(PROOF-CHECKER-ITP13::SOLUTIONP-AND-RATP-IMPLIES-EXISTS-SOLUTION-CONS
 (8636 68 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-LITERAL))
 (8371 52 (:REWRITE PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (8335 17 (:DEFINITION PROOF-CHECKER-ITP13::IS-UNIT-CLAUSE))
 (7355 17 (:DEFINITION PROOF-CHECKER-ITP13::EVALUATE-CLAUSE))
 (6611 315 (:DEFINITION MEMBER-EQUAL))
 (6018 905 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-CDR))
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 (905 905 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (905 905 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (905 905 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
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 (560 74 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
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 (340 340 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (340 340 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (340 340 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (306 108 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-TRUEP))
 (296 278 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (272 272 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (182 74 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (124 63 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-IMPLIES-NOT-UNDEFP))
 (74 74 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (74 74 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (74 74 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (70 70 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-SUBSETP))
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 (39 3 (:DEFINITION PROOF-CHECKER-ITP13::FORMULAP))
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 (14 14 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (12 3 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (12 3 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-CDR))
 (11 11 (:REWRITE PROOF-CHECKER-ITP13::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (8 8 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-FORMULA-SUBSETP))
 )
(PROOF-CHECKER-ITP13::EXISTS-SOLUTION-AND-RATP-IMPLIES-EXISTS-SOLUTION-CONS
 (39 3 (:DEFINITION MEMBER-EQUAL))
 (34 7 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-CDR))
 (20 2 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (13 1 (:DEFINITION PROOF-CHECKER-ITP13::FORMULAP))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (7 7 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (6 6 (:REWRITE DEFAULT-CDR))
 (4 4 (:REWRITE DEFAULT-CAR))
 (4 1 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (4 1 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-CDR))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 )
(PROOF-CHECKER-ITP13::RATP-LEMMA)
(PROOF-CHECKER-ITP13::SOLUTION-AND-MEMBER-NIL-IMPLIES-NOT-VERIFY-PROOF
 (1067 77 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (1049 77 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (298 127 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-CDR))
 (179 179 (:REWRITE DEFAULT-CAR))
 (127 127 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (127 127 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (127 127 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (114 4 (:REWRITE PROOF-CHECKER-ITP13::RATP-LEMMA))
 (108 108 (:REWRITE DEFAULT-CDR))
 (100 40 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-CDR))
 (12 12 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (11 3 (:REWRITE PROOF-CHECKER-ITP13::TRUEP-EF-AND-UNDEFP-EF-CONS-IMPLIES-EXISTS-SOLUTION))
 (11 3 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-TRUEP-EF-CONS-IMPLIES-EXISTS-SOLUTION))
 (11 3 (:REWRITE PROOF-CHECKER-ITP13::SOLUTIONP-AND-RATP-IMPLIES-EXISTS-SOLUTION-CONS))
 (11 3 (:REWRITE PROOF-CHECKER-ITP13::EXISTS-SOLUTION-AND-RATP-AND-TRUEP-IMPLIES-EXISTS-SOLUTION))
 (6 2 (:REWRITE PROOF-CHECKER-ITP13::EXISTS-SOLUTION-AND-ATP-IMPLIES-EXISTS-SOLUTION))
 )
(PROOF-CHECKER-ITP13::VERIFY-PROOF-INDUCTION
 (57 1 (:DEFINITION PROOF-CHECKER-ITP13::CLAUSE-LISTP))
 (50 4 (:DEFINITION MEMBER-EQUAL))
 (44 2 (:DEFINITION PROOF-CHECKER-ITP13::FORMULAP))
 (39 3 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (38 9 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-CDR))
 (38 3 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (9 9 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (9 9 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (9 9 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (9 9 (:REWRITE DEFAULT-CDR))
 (7 7 (:REWRITE DEFAULT-CAR))
 (6 2 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-CDR))
 (4 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::CLAUSEP))
 (2 2 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 )
(PROOF-CHECKER-ITP13::EXISTS-SOLUTION-IMPLIES-NOT-REFUTATIONP
 (498 3 (:DEFINITION PROOF-CHECKER-ITP13::CLAUSEP))
 (397 1 (:DEFINITION PROOF-CHECKER-ITP13::CLAUSE-LISTP))
 (384 2 (:DEFINITION PROOF-CHECKER-ITP13::FORMULAP))
 (250 14 (:DEFINITION MEMBER-EQUAL))
 (247 3 (:DEFINITION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (233 34 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-CDR))
 (215 3 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (163 3 (:DEFINITION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (81 18 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (54 54 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (44 44 (:REWRITE DEFAULT-CDR))
 (43 3 (:DEFINITION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (39 3 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (34 34 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (34 34 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (34 34 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (27 9 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (26 26 (:REWRITE DEFAULT-CAR))
 (15 15 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (15 15 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (15 15 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (15 15 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (12 12 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (12 12 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (10 10 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (10 10 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (7 7 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (6 2 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-CDR))
 (4 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ITP13::REFUTATIONP-IMPLIES-NOT-EXISTS-SOLUTION)
(PROOF-CHECKER-ITP13::MAIN-THEOREM
 (498 3 (:DEFINITION PROOF-CHECKER-ITP13::CLAUSEP))
 (397 1 (:DEFINITION PROOF-CHECKER-ITP13::CLAUSE-LISTP))
 (384 2 (:DEFINITION PROOF-CHECKER-ITP13::FORMULAP))
 (250 14 (:DEFINITION MEMBER-EQUAL))
 (247 3 (:DEFINITION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (233 34 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-CDR))
 (215 3 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (163 3 (:DEFINITION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (81 18 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CONJUNCTION))
 (54 54 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::ASSIGNMENTP))
 (44 44 (:REWRITE DEFAULT-CDR))
 (43 3 (:DEFINITION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (39 3 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-MEMBER))
 (34 34 (:REWRITE PROOF-CHECKER-ITP13::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (34 34 (:REWRITE PROOF-CHECKER-ITP13::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (34 34 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-UNION-VARIABLES1))
 (27 9 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-CDR))
 (26 26 (:REWRITE DEFAULT-CAR))
 (15 15 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (15 15 (:REWRITE PROOF-CHECKER-ITP13::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (15 15 (:REWRITE PROOF-CHECKER-ITP13::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (15 15 (:REWRITE PROOF-CHECKER-ITP13::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (12 12 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NEGATE))
 (12 12 (:REWRITE PROOF-CHECKER-ITP13::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (10 10 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::UNIQUE-LITERALSP))
 (10 10 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERAL-LISTP))
 (7 7 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::NO-CONFLICTING-LITERALSP))
 (6 6 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (6 2 (:REWRITE PROOF-CHECKER-ITP13::FORMULAP-CDR))
 (4 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ITP13::LITERALP))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::NOT-NO-CONFLICTING-LITERALSP))
 (4 4 (:REWRITE PROOF-CHECKER-ITP13::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::CLAUSEP-MEMBER))
 (3 3 (:REWRITE PROOF-CHECKER-ITP13::ASSIGNMENTP-LITERALP-MEMBER))
 )
