File: rat-checker-new%40useless-runes.lsp

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acl2 8.6%2Bdfsg-2
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area: main
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file content (4199 lines) | stat: -rw-r--r-- 276,832 bytes
parent folder | download | duplicates (3)
(PROOF-CHECKER-ARRAY::CLAUSE-LISTP)
(PROOF-CHECKER-ARRAY::NEGATE-CLAUSE
 (3 1 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
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 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
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 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
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(PROOF-CHECKER-ARRAY::NEGATE-ASSIGNMENT
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 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
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(PROOF-CHECKER-ARRAY::NEGATE-CLAUSE-NEGATE-ASSIGNMENT
 (27 7 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
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 (18 17 (:REWRITE DEFAULT-CAR))
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 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (6 2 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
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(PROOF-CHECKER-ARRAY::NEGATE-ASSIGNMENT-NEGATE-CLAUSE
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 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
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(PROOF-CHECKER-ARRAY::MEMBER-NEGATE-NEGATE-CLAUSE
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(PROOF-CHECKER-ARRAY::MEMBER-NEGATE-NEGATE-ASSIGNMENT
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(PROOF-CHECKER-ARRAY::ASSIGNMENTP-NEGATE-CLAUSE
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(PROOF-CHECKER-ARRAY::LITERAL-LISTP-REVAPPEND
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(PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP-APPEND
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(PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP-REVAPPEND
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(PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP-APPEND
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 (43 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONS))
 (36 36 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (36 36 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (36 12 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
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(PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP-REVAPPEND
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 (268 32 (:DEFINITION MEMBER-EQUAL))
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 (38 11 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
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 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
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(PROOF-CHECKER-ARRAY::ASSIGNMENTP-REVAPPEND-NIL
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 (213 14 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
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 (7 7 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FORMULAP))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (3 1 (:DEFINITION REVAPPEND))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (2 1 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (2 1 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
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(PROOF-CHECKER-ARRAY::ASSIGNMENTP-NEGATE-ASSIGNMENT
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(PROOF-CHECKER-ARRAY::NUM-UNDEF)
(PROOF-CHECKER-ARRAY::NATP-NUM-UNDEF)
(PROOF-CHECKER-ARRAY::NUM-UNDEF-CONS
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(PROOF-CHECKER-ARRAY::NUM-UNDEF-CONS-2
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(PROOF-CHECKER-ARRAY::UNIT-PROPAGATION
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 (77 42 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (72 4 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (64 64 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (64 64 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (56 28 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (56 28 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (52 4 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (49 28 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (36 12 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (28 28 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (28 28 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (21 21 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (16 4 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (16 4 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (8 8 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (8 8 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (4 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::REMOVE-LITERAL)
(PROOF-CHECKER-ARRAY::NOT-MEMBER-REMOVE-LITERAL
 (24 23 (:REWRITE DEFAULT-CAR))
 (18 17 (:REWRITE DEFAULT-CDR))
 (13 13 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (13 13 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 )
(PROOF-CHECKER-ARRAY::MEMBER-REMOVE-LITERAL
 (87 83 (:REWRITE DEFAULT-CAR))
 (61 58 (:REWRITE DEFAULT-CDR))
 (52 52 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (52 52 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 )
(PROOF-CHECKER-ARRAY::LITERAL-LISTP-REMOVE-LITERAL
 (161 31 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (84 84 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (70 7 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-REMOVE-LITERAL))
 (58 57 (:REWRITE DEFAULT-CAR))
 (55 54 (:REWRITE DEFAULT-CDR))
 (46 46 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (46 46 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (36 1 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONS))
 (33 11 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (16 16 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (15 15 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (15 15 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 )
(PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP-REMOVE-LITERAL
 (161 31 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (84 84 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (60 58 (:REWRITE DEFAULT-CDR))
 (56 55 (:REWRITE DEFAULT-CAR))
 (42 42 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (42 42 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (36 1 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONS))
 (33 11 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (16 16 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (9 9 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (9 9 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 )
(PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP-REMOVE-LITERAL
 (161 31 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (84 84 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (60 58 (:REWRITE DEFAULT-CDR))
 (56 55 (:REWRITE DEFAULT-CAR))
 (42 42 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (42 42 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (36 1 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONS))
 (33 11 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (22 22 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (18 18 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (18 18 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (9 9 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (9 9 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::CLAUSEP-REMOVE-LITERAL)
(PROOF-CHECKER-ARRAY::RESOLUTION
 (77 18 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (50 50 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (30 30 (:REWRITE DEFAULT-CDR))
 (27 27 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (27 27 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (27 9 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (25 25 (:REWRITE DEFAULT-CAR))
 (7 1 (:DEFINITION PROOF-CHECKER-ARRAY::REMOVE-LITERAL))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::MEMBER-UNION
 (179 179 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (179 179 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (165 160 (:REWRITE DEFAULT-CAR))
 (131 127 (:REWRITE DEFAULT-CDR))
 (64 64 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNION))
 )
(PROOF-CHECKER-ARRAY::LITERAL-LISTP-UNION
 (324 63 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (180 180 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (154 7 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION))
 (109 109 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (109 109 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (104 103 (:REWRITE DEFAULT-CDR))
 (100 99 (:REWRITE DEFAULT-CAR))
 (81 27 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (54 1 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONS))
 (32 16 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (24 24 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (13 13 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNION))
 )
(PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP-UNION
 (324 63 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (180 180 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (102 100 (:REWRITE DEFAULT-CDR))
 (87 86 (:REWRITE DEFAULT-CAR))
 (86 86 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (86 86 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (81 27 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (54 1 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONS))
 (32 16 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (24 24 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (14 14 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNION))
 (9 9 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (9 9 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::LITERAL-LISTP-RESOLUTION
 (100 24 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (64 64 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (42 42 (:REWRITE DEFAULT-CDR))
 (36 36 (:REWRITE DEFAULT-CAR))
 (36 12 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (34 34 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (34 34 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (19 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNION))
 (13 13 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (12 2 (:DEFINITION PROOF-CHECKER-ARRAY::REMOVE-LITERAL))
 (10 1 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-REMOVE-LITERAL))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::REMOVE-LITERAL))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP-RESOLUTION
 (100 24 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (64 64 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (42 42 (:REWRITE DEFAULT-CDR))
 (36 36 (:REWRITE DEFAULT-CAR))
 (36 12 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (34 34 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (34 34 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (19 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNION))
 (13 13 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (12 2 (:DEFINITION PROOF-CHECKER-ARRAY::REMOVE-LITERAL))
 (10 1 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-REMOVE-LITERAL))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::REMOVE-LITERAL))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::TAUTOLOGYP)
(PROOF-CHECKER-ARRAY::ATP
 (223 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (222 1 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (219 1 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (192 2 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (154 36 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (132 4 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (72 1 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (64 64 (:REWRITE DEFAULT-CDR))
 (56 56 (:REWRITE DEFAULT-CAR))
 (54 18 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (50 50 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (50 50 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (46 11 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (43 8 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (28 4 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (20 20 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (20 20 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (16 8 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (12 6 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (11 6 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (10 2 (:DEFINITION REVAPPEND))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (8 4 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (8 4 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (8 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (8 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (7 4 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (6 2 (:DEFINITION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (4 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 )
(PROOF-CHECKER-ARRAY::RATP1
 (4547 1006 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (3810 20 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (3445 5 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (3036 3036 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (2880 80 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (2770 75 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (2532 4 (:DEFINITION TRUE-LISTP))
 (2460 160 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (2430 235 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (2045 20 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (1961 1961 (:REWRITE DEFAULT-CDR))
 (1770 1770 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1770 1770 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (1730 154 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (1696 1696 (:REWRITE DEFAULT-CAR))
 (1593 531 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (1537 9 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-TRUE-LISTP))
 (1115 5 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (1110 5 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (1070 70 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (960 240 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (960 4 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-CDR))
 (843 5 (:REWRITE PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP-REMOVE-LITERAL))
 (843 5 (:REWRITE PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP-REMOVE-LITERAL))
 (835 105 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (640 320 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (530 530 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (352 170 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (345 170 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (330 330 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (320 320 (:TYPE-PRESCRIPTION REVAPPEND))
 (262 5 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-REMOVE-LITERAL))
 (240 240 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (229 229 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (229 229 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (205 105 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (190 10 (:DEFINITION PROOF-CHECKER-ARRAY::UNION))
 (185 95 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (170 170 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (150 70 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (120 20 (:DEFINITION PROOF-CHECKER-ARRAY::REMOVE-LITERAL))
 (105 80 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (80 80 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (70 70 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
 (35 5 (:DEFINITION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (34 8 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-TRUE-LISTP))
 (25 5 (:DEFINITION REVAPPEND))
 (20 20 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::NEGATE-NEGATE))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ARRAY::RATP
 (351 82 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (230 230 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (119 119 (:REWRITE DEFAULT-CDR))
 (117 39 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (104 104 (:REWRITE DEFAULT-CAR))
 (76 76 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (76 76 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (28 7 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (23 23 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (23 23 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (22 10 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (21 21 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (21 21 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::VERIFY-CLAUSE
 (96 1 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (30 7 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (24 1 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (21 3 (:DEFINITION MEMBER-EQUAL))
 (20 20 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (18 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (14 2 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (9 9 (:REWRITE DEFAULT-CDR))
 (9 3 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (8 8 (:REWRITE DEFAULT-CAR))
 (7 7 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (4 1 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (4 1 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::VERIFY-PROOF
 (1524 8 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (1510 143 (:DEFINITION MEMBER-EQUAL))
 (1378 2 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (1335 31 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (1152 32 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (1108 30 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (1033 1 (:DEFINITION PROOF-CHECKER-ARRAY::RATP1))
 (984 64 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (972 94 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (818 8 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (711 158 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (474 474 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (446 2 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (444 2 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (428 28 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (384 96 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (379 31 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (334 42 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (322 322 (:REWRITE DEFAULT-CDR))
 (309 309 (:REWRITE DEFAULT-CAR))
 (286 286 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (286 286 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (256 128 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (237 79 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (138 68 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (132 132 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (128 128 (:TYPE-PRESCRIPTION REVAPPEND))
 (113 113 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (108 108 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (96 96 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (82 42 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (74 38 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (60 28 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (44 32 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (42 32 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (35 1 (:DEFINITION PROOF-CHECKER-ARRAY::TAUTOLOGYP))
 (32 32 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (32 32 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (32 32 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (30 1 (:DEFINITION PROOF-CHECKER-ARRAY::RESOLUTION))
 (28 28 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (20 8 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (19 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNION))
 (10 2 (:DEFINITION REVAPPEND))
 (10 2 (:DEFINITION PROOF-CHECKER-ARRAY::REMOVE-LITERAL))
 (10 2 (:DEFINITION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (10 1 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-REMOVE-LITERAL))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (8 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNION))
 (6 6 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::REMOVE-LITERAL))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ARRAY::PROOFP)
(PROOF-CHECKER-ARRAY::REFUTATIONP
 (6096 32 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (5512 8 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (4841 409 (:DEFINITION MEMBER-EQUAL))
 (4608 128 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (4432 120 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (4132 4 (:DEFINITION PROOF-CHECKER-ARRAY::RATP1))
 (3936 256 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (3888 376 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (3272 32 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (1832 4 (:DEFINITION TRUE-LISTP))
 (1784 8 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (1776 8 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (1712 112 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (1536 384 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (1458 308 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (1336 168 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (1285 39 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (1266 8 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-TRUE-LISTP))
 (1184 8 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-TRUE-LISTP))
 (1024 512 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (994 994 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (865 865 (:REWRITE DEFAULT-CDR))
 (818 818 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (818 818 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (816 816 (:REWRITE DEFAULT-CAR))
 (552 272 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (546 182 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (542 50 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (528 528 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (528 33 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (512 512 (:TYPE-PRESCRIPTION REVAPPEND))
 (404 4 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-CDR))
 (388 388 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (384 384 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (368 368 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (328 168 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (296 152 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (240 112 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (168 128 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (140 4 (:DEFINITION PROOF-CHECKER-ARRAY::TAUTOLOGYP))
 (128 128 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (120 4 (:DEFINITION PROOF-CHECKER-ARRAY::RESOLUTION))
 (112 112 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
 (76 52 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (76 4 (:DEFINITION PROOF-CHECKER-ARRAY::UNION))
 (52 52 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (52 52 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (40 40 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (40 40 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (40 8 (:DEFINITION REVAPPEND))
 (40 8 (:DEFINITION PROOF-CHECKER-ARRAY::REMOVE-LITERAL))
 (40 8 (:DEFINITION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (40 4 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-REMOVE-LITERAL))
 (34 8 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-TRUE-LISTP))
 (32 32 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (32 16 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNION))
 (24 24 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::REMOVE-LITERAL))
 (11 11 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::CLAUSEP))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ARRAY::SOLUTIONP)
(PROOF-CHECKER-ARRAY::EXISTS-SOLUTION)
(PROOF-CHECKER-ARRAY::EXISTS-SOLUTION-SUFF)
(PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP
 (21060 585 (:REWRITE PROOF-CHECKER-ARRAY::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (21060 195 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (19305 585 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (19305 65 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (19110 65 (:DEFINITION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (17849 26 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSETP))
 (17784 65 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-CDR))
 (9620 65 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (8056 112 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (7944 50 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (4680 4680 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (4641 4641 (:REWRITE DEFAULT-CAR))
 (4592 4592 (:REWRITE DEFAULT-CDR))
 (4500 4500 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (2201 2201 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (1300 1300 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (585 585 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
 (229 229 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (66 66 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (65 65 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (65 65 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP-TRANSITIVE))
 )
(PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP
 (30265 558 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (29919 200 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (26744 194 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (24738 794 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (23336 3262 (:DEFINITION MEMBER-EQUAL))
 (14580 405 (:REWRITE PROOF-CHECKER-ARRAY::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (14580 135 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (13436 6524 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (13365 405 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (13365 45 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (13230 45 (:DEFINITION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (12357 18 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSETP))
 (12312 45 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-CDR))
 (6660 45 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (6524 6524 (:REWRITE PROOF-CHECKER-ARRAY::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-ARRAY::NEGATE))
 (3244 3244 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (3240 3240 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (900 900 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (794 794 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (405 405 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
 (194 194 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (45 45 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (45 45 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP-TRANSITIVE))
 (33 33 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-TRUE))
 )
(PROOF-CHECKER-ARRAY::ASSIGNMENTP-AND-MEMBER-IMPLIES-NOT-MEMBER-NEGATE
 (504 49 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (261 7 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (230 7 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (175 7 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (121 2 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (51 51 (:REWRITE DEFAULT-CDR))
 (40 40 (:REWRITE DEFAULT-CAR))
 (35 35 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (35 35 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 )
(PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP
 (8836 216 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (7963 222 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (1839 1839 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (1608 1608 (:REWRITE DEFAULT-CDR))
 (1600 1600 (:REWRITE DEFAULT-CAR))
 (1518 1518 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (702 702 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (658 658 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
 (227 99 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (154 154 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (125 125 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 )
(PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP
 (20120 324 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (19894 114 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (19553 2018 (:DEFINITION MEMBER-EQUAL))
 (17725 112 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (17204 454 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (14805 315 (:REWRITE PROOF-CHECKER-ARRAY::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (13860 315 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (13650 105 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (12789 35 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (12684 35 (:DEFINITION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (11858 14 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSETP))
 (11781 35 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-CDR))
 (7551 1538 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-AND-MEMBER-IMPLIES-NOT-MEMBER-NEGATE))
 (7320 4248 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (6628 430 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (6251 35 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (4248 4248 (:REWRITE PROOF-CHECKER-ARRAY::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-ARRAY::SET-DIFFERENCE-VARIABLES))
 (2513 1147 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (2004 2004 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (2004 2004 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (1288 63 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (700 700 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (454 454 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (315 315 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
 (112 112 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (35 35 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (35 35 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP-TRANSITIVE))
 (21 21 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-TRUE))
 )
(PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-IS-UNIT-CLAUSE-SUBSETP
 (5866 139 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (5313 145 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (4296 139 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-CDR))
 (2205 561 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (2011 2011 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (1672 1672 (:REWRITE DEFAULT-CAR))
 (1566 1566 (:REWRITE DEFAULT-CDR))
 (1003 1003 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (848 848 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (762 268 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (435 435 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
 (271 271 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (108 108 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-FIND-UNIT-CLAUSE-SUBSETP
 (15507 165 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (15483 489 (:REWRITE PROOF-CHECKER-ARRAY::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (14514 53 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (14355 53 (:DEFINITION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (14028 483 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (13561 128 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (13385 437 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (13100 23 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSETP))
 (11203 4680 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (11189 1243 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (9612 53 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-CDR))
 (6944 53 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (5533 273 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (4680 4680 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (4565 548 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (4527 4527 (:REWRITE DEFAULT-CAR))
 (4346 4346 (:REWRITE DEFAULT-CDR))
 (4210 635 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (3801 3801 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (3181 946 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (2493 558 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (2273 2273 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (2134 60 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (2134 55 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (2120 2120 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
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 (1090 1090 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
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 (613 268 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (491 491 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (459 373 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (156 6 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
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 (128 128 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
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 (60 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (53 53 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (53 53 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP-TRANSITIVE))
 (36 12 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (30 30 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (15 15 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-TRUE))
 (6 6 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-UNIT-PROPAGATION-SUBSETP
 (35680 768 (:REWRITE PROOF-CHECKER-ARRAY::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (34799 246 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (33825 114 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (33591 78 (:DEFINITION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (32267 726 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (31691 114 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-CDR))
 (19643 119 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (18113 114 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (14229 14 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (12466 865 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (12415 481 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (11373 412 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (11359 124 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (10311 1213 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (8742 47 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (6601 6351 (:REWRITE DEFAULT-CAR))
 (6461 6216 (:REWRITE DEFAULT-CDR))
 (6330 6330 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (5896 5896 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (4193 648 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (4022 286 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (3638 563 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (3358 920 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (3076 3076 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (2970 2970 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (2804 59 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (2699 54 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (2374 554 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (2345 6 (:REWRITE PROOF-CHECKER-ARRAY::EQUAL-SET-DIFFERENCE-VARIABLES-CONS))
 (1731 1731 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (1440 648 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (1369 1369 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (903 453 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (898 768 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
 (762 6 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-MV-NTH-0-FIND-UNIT-CLAUSE))
 (744 6 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (676 286 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (660 6 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSEP))
 (481 481 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (460 6 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-CONS))
 (453 369 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (246 6 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (186 186 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (174 6 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (168 12 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (162 36 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (150 6 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (146 146 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
 (124 124 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (114 114 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP-TRANSITIVE))
 (54 18 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (42 42 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FORMULAP))
 (36 36 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (36 36 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (30 30 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (18 18 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (12 6 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (12 6 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::EVALUATE-FORMULA-UNIT-PROPAGATION-NIL
 (3550 100 (:REWRITE PROOF-CHECKER-ARRAY::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (3512 36 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (3282 14 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (3262 100 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (3240 14 (:DEFINITION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (3110 3 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (2894 18 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (2448 62 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (2000 19 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (1933 70 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (1730 14 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (984 41 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (848 848 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (835 835 (:REWRITE DEFAULT-CAR))
 (788 788 (:REWRITE DEFAULT-CDR))
 (727 111 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (726 79 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (716 716 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (687 162 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (501 3 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (498 3 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (460 78 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (415 415 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (394 394 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (200 200 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (196 196 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (100 100 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
 (70 70 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (39 39 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-UNDEF))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-UNDEF))
 (19 19 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (17 10 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (14 14 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP-TRANSITIVE))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ARRAY::SOLUTIONP-IMPLIES-NOT-ATP-*EMPTY-CLAUSE*
 (1108 2 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (967 7 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (822 26 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (789 64 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (785 77 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (602 7 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (576 27 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (366 54 (:DEFINITION MEMBER-EQUAL))
 (309 18 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (273 47 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (167 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (166 1 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (164 64 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (102 102 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (102 102 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (92 41 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (82 82 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (79 79 (:REWRITE DEFAULT-CAR))
 (77 34 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (71 71 (:REWRITE DEFAULT-CDR))
 (51 51 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (48 48 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (48 48 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (48 48 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (47 17 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (40 27 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (34 34 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (32 32 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (27 27 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (21 21 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
 (13 13 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-UNDEF))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-UNDEF))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ARRAY::*EMPTY-CLAUSE*-LEMMA
 (1108 2 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (967 7 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (822 26 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (789 64 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (785 77 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (602 7 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (576 27 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (366 54 (:DEFINITION MEMBER-EQUAL))
 (309 18 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (273 47 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (167 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (166 1 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (164 64 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (102 102 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (102 102 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (92 41 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (82 82 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (79 79 (:REWRITE DEFAULT-CAR))
 (77 34 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (71 71 (:REWRITE DEFAULT-CDR))
 (51 51 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (48 48 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (48 48 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (48 48 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (47 17 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (40 27 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (34 34 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (32 32 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (27 27 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (21 21 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
 (13 13 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-UNDEF))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-UNDEF))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-IMPLIES-NOT-ATP-*EMPTY-CLAUSE*))
 )
(PROOF-CHECKER-ARRAY::EXISTS-SOLUTION-IMPLIES-NOT-ATP-*EMPTY-CLAUSE*
 (1108 2 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (967 7 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (822 26 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (780 62 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (772 77 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (602 7 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (576 27 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (366 54 (:DEFINITION MEMBER-EQUAL))
 (310 19 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (278 44 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (167 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (166 64 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (166 1 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (102 102 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (102 102 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (92 38 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (82 82 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (79 79 (:REWRITE DEFAULT-CAR))
 (77 34 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (71 71 (:REWRITE DEFAULT-CDR))
 (51 51 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (48 48 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (48 48 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (48 48 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (48 18 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (41 28 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (34 34 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (32 32 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (27 27 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (19 19 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
 (13 13 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-UNDEF))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-UNDEF))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-IMPLIES-NOT-ATP-*EMPTY-CLAUSE*))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::*EMPTY-CLAUSE*-LEMMA))
 )
(PROOF-CHECKER-ARRAY::FIND-TRUE-LITERAL-IN-CLAUSE)
(PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-IMPLIES-FIND-TRUE-LITERAL-IN-CLAUSE
 (5558 112 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (5446 48 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (2238 386 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (1645 7 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-CDR))
 (1492 1492 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (1197 1197 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1197 1197 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (1156 1156 (:REWRITE DEFAULT-CDR))
 (1089 1089 (:REWRITE DEFAULT-CAR))
 (1080 360 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (524 524 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (302 99 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (209 209 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (174 174 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (160 160 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (99 99 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (99 99 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (72 72 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (72 72 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (55 55 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::FIND-TRUE-LITERAL-IN-CLAUSE-IMPLIES-MEMBER-CLAUSE
 (1210 9 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-IMPLIES-FIND-TRUE-LITERAL-IN-CLAUSE))
 (1177 11 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSEP))
 (410 12 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (399 73 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (354 12 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (266 266 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (243 13 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (180 60 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (178 2 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-CDR))
 (122 122 (:REWRITE DEFAULT-CAR))
 (119 119 (:REWRITE DEFAULT-CDR))
 (93 93 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (93 93 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (54 54 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (54 54 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (44 44 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (30 30 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (28 28 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (28 28 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
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 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (11 11 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::CLAUSEP))
 (11 11 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::FIND-TRUE-LITERAL-IN-CLAUSE-IMPLIES-MEMBER-ASSIGNMENT
 (1121 8 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-IMPLIES-FIND-TRUE-LITERAL-IN-CLAUSE))
 (1091 10 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSEP))
 (381 11 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (372 67 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (329 11 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (248 248 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (226 12 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (178 2 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-CDR))
 (171 57 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (112 112 (:REWRITE DEFAULT-CDR))
 (100 100 (:REWRITE DEFAULT-CAR))
 (86 86 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (86 86 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (49 49 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (49 49 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (40 40 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (28 28 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (26 26 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (26 26 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (13 13 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (13 13 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (13 13 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (10 10 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::CLAUSEP))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::FIND-TRUE-LITERAL-IN-CLAUSE-IMPLIES-LITERALP
 (429 8 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (421 4 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (386 32 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (377 4 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (336 16 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (322 23 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (134 1 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (80 80 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (80 80 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (73 18 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (68 68 (:REWRITE DEFAULT-CAR))
 (67 67 (:REWRITE DEFAULT-CDR))
 (49 23 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (46 46 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (43 20 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (38 38 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (38 38 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (27 9 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (23 12 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (12 1 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-TRUE-LITERAL-IN-CLAUSE))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::EXISTS-TRUE-LITERAL)
(PROOF-CHECKER-ARRAY::EXISTS-TRUE-LITERAL-SUFF)
(PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-IMPLIES-EXISTS-TRUE-LITERAL
 (339 3 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (305 7 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (298 3 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (252 12 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (240 25 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (192 16 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (135 2 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (62 62 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (62 62 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (54 54 (:REWRITE DEFAULT-CAR))
 (51 51 (:REWRITE DEFAULT-CDR))
 (46 12 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (34 17 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (34 16 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (28 28 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (28 28 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (28 28 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (24 2 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-TRUE-LITERAL-IN-CLAUSE))
 (19 10 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (18 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE
 (2050 39 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (2011 18 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (399 399 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (399 399 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (301 301 (:REWRITE DEFAULT-CAR))
 (248 248 (:REWRITE DEFAULT-CDR))
 (160 160 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (94 94 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (74 74 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (57 57 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 )
(PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-NEGATE-ASSIGNMENT
 (3058 204 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (2541 48 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (2493 24 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (469 469 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (469 469 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (371 368 (:REWRITE DEFAULT-CAR))
 (340 124 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (328 325 (:REWRITE DEFAULT-CDR))
 (241 241 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (201 3 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (102 102 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (102 102 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (96 96 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (72 72 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-TRUE))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-FALSE))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-UNDEF))
 )
(PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE-IMPLIES-TRUEP-EVALUATE-CLAUSE-NEGATE-ASSIGNMENT
 (13807 251 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (13556 119 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (2092 2092 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (2092 2092 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (1629 1629 (:REWRITE DEFAULT-CAR))
 (1464 1464 (:REWRITE DEFAULT-CDR))
 (1028 1028 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (509 509 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (467 467 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (467 467 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (459 459 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (210 64 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (140 140 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (131 131 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (48 48 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE-ASSIGNMENT))
 (24 8 (:DEFINITION PROOF-CHECKER-ARRAY::NEGATE-ASSIGNMENT))
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 (22 22 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (22 22 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (21 21 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (21 21 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (18 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 )
(PROOF-CHECKER-ARRAY::EVALUATE-FORMULA-IMPLIES-TRUEP-EVALUATE-CLAUSE-NEGATE-ASSIGNMENT
 (9537 241 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
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 (8080 79 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (6636 316 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (4108 632 (:DEFINITION MEMBER-EQUAL))
 (1264 1264 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1264 1264 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (995 995 (:REWRITE DEFAULT-CAR))
 (896 896 (:REWRITE DEFAULT-CDR))
 (632 632 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (632 632 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (632 632 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (371 371 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (371 371 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (332 332 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (316 316 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (80 80 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (79 79 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (76 76 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (64 12 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (31 31 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE-ASSIGNMENT))
 (29 29 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-FALSE))
 (26 26 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-UNDEF))
 (25 25 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
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 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-TRUE))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (8 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
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(PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE
 (32570 44 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-IS-UNIT-CLAUSE-SUBSETP))
 (22810 284 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (22804 828 (:REWRITE PROOF-CHECKER-ARRAY::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (21712 88 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (21448 88 (:DEFINITION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (20358 816 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (17510 44 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSETP))
 (11888 364 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (9976 88 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (6324 6324 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (5225 524 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (5042 5042 (:REWRITE DEFAULT-CAR))
 (4768 4768 (:REWRITE DEFAULT-CDR))
 (4484 4484 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (4484 4484 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (2523 242 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (2126 2126 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (1836 1836 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (1628 828 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
 (888 8 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-NEGATE-IS-UNIT-CLAUSE-ASSIGNMENT))
 (464 169 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (364 364 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (349 349 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (308 308 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSETP))
 (296 16 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (293 293 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (192 32 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (183 183 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (176 88 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-CDR))
 (128 128 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (96 32 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (88 88 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (88 88 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP-TRANSITIVE))
 (80 80 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (70 70 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (32 32 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE
 (1404 19 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (1064 209 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (969 152 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (963 1 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-FIND-UNIT-CLAUSE-SUBSETP))
 (684 18 (:REWRITE PROOF-CHECKER-ARRAY::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (684 6 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (630 18 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (626 2 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (620 2 (:DEFINITION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (489 1 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSETP))
 (431 431 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (431 431 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (401 401 (:REWRITE DEFAULT-CAR))
 (350 350 (:REWRITE DEFAULT-CDR))
 (342 152 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (312 2 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (285 114 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (266 266 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (209 114 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (209 76 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (204 204 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (171 76 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (144 144 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (133 76 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (114 114 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (114 114 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (114 114 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (76 76 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (76 76 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (57 57 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (40 40 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (19 19 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (18 18 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
 (7 7 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSETP))
 (4 2 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-CDR))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP-TRANSITIVE))
 )
(PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-TRUEP-NEGATE-ASSIGNMENT
 (808 4 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (720 3 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (496 16 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (419 4 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (314 42 (:DEFINITION MEMBER-EQUAL))
 (295 41 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (276 30 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (139 24 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (111 14 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (84 84 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (84 84 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (67 29 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (65 65 (:REWRITE DEFAULT-CAR))
 (60 24 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (58 58 (:REWRITE DEFAULT-CDR))
 (50 50 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (33 12 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (32 32 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (32 32 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (32 32 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (32 15 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (22 22 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (22 22 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (21 21 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (21 12 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (11 11 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (3 3 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE-ASSIGNMENT))
 (3 1 (:DEFINITION PROOF-CHECKER-ARRAY::NEGATE-ASSIGNMENT))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::EVALUATE-FORMULA-IMPLIES-TRUEP-EVALUATE-CLAUSE-NEGATE-ASSIGNMENT))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE-IMPLIES-TRUEP-EVALUATE-CLAUSE-NEGATE-ASSIGNMENT))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-IMPLIES-EXISTS-TRUE-LITERAL
 (7254 78 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (6172 783 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (5912 249 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (2653 198 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (1476 1476 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1476 1476 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (1407 398 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (1342 658 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (1227 1227 (:REWRITE DEFAULT-CAR))
 (1208 580 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (1103 1103 (:REWRITE DEFAULT-CDR))
 (956 398 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (874 658 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (658 658 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (658 658 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (611 293 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (520 197 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (443 102 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (354 354 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (338 338 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (338 338 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (312 312 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (290 290 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (280 231 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (153 51 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (90 17 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (78 78 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (67 67 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
 (33 33 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (19 19 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (17 17 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (17 17 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
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 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (12 10 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MV-NTH-1-FIND-UNIT-CLAUSE))
 (8 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-TRUE))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-MV-NTH-1-FIND-UNIT-CLAUSE-FORMULA))
 )
(PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE-AND-MEMBER-NEGATE-IMPLIES-TRUEP-NEGATE-ASSIGNMENT
 (16548 74 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (11624 6 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-FIND-UNIT-CLAUSE-SUBSETP))
 (10696 288 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (9683 12 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (9647 12 (:DEFINITION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (8589 108 (:REWRITE PROOF-CHECKER-ARRAY::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (8310 36 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (8265 108 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (8029 751 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (7164 72 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (6317 778 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (4445 270 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (4406 2 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-IMPLIES-EXISTS-TRUE-LITERAL))
 (3980 390 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (3950 5 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (2904 6 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSETP))
 (1933 1933 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1933 1933 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (1885 419 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (1877 5 (:REWRITE PROOF-CHECKER-ARRAY::EVALUATE-FORMULA-IMPLIES-TRUEP-EVALUATE-CLAUSE-NEGATE-ASSIGNMENT))
 (1812 12 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (1707 238 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (1622 1622 (:REWRITE DEFAULT-CAR))
 (1499 1499 (:REWRITE DEFAULT-CDR))
 (1287 571 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (1028 419 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (926 926 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (864 864 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (852 370 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (751 751 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (750 750 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (637 296 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (390 390 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (390 390 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (288 288 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (240 240 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (200 2 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSEP))
 (108 108 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
 (86 2 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (72 72 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (54 12 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (50 2 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (42 42 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSETP))
 (36 2 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (24 12 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-CDR))
 (23 23 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (22 22 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (14 14 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE-ASSIGNMENT))
 (12 12 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP-TRANSITIVE))
 (6 2 (:DEFINITION PROOF-CHECKER-ARRAY::NEGATE-ASSIGNMENT))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-NEGATE-ASSIGNMENT))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-TRUEP-NEGATE-ASSIGNMENT))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE-IMPLIES-TRUEP-EVALUATE-CLAUSE-NEGATE-ASSIGNMENT))
 (4 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (4 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::CLAUSEP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MV-NTH-1-FIND-UNIT-CLAUSE))
 )
(PROOF-CHECKER-ARRAY::FALSEP-EF-UP-IMPLIES-TRUEP-EC-NA
 (22746 139 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (15597 24 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (14662 1454 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (14568 1343 (:DEFINITION MEMBER-EQUAL))
 (14376 1039 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (13632 479 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (10268 8 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-FIND-UNIT-CLAUSE-SUBSETP))
 (9775 92 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (7936 16 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (7888 16 (:DEFINITION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (7539 1305 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (7458 143 (:REWRITE PROOF-CHECKER-ARRAY::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (7436 48 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (7031 142 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (5428 744 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (4700 396 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (3527 8 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSETP))
 (2913 2913 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (2913 2913 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (2782 2613 (:REWRITE DEFAULT-CAR))
 (2597 2428 (:REWRITE DEFAULT-CDR))
 (2478 1059 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (2161 16 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (1797 744 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (1583 1583 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (1305 1305 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (1304 1304 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (1233 584 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (1200 1200 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (1121 396 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (1118 1118 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (936 936 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (896 8 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (776 8 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSEP))
 (660 660 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (660 660 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (647 647 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (642 474 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (509 509 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (321 321 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (305 305 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
 (296 8 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (224 8 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (217 49 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (200 144 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
 (200 8 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (144 8 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (137 137 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (125 125 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (113 113 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (72 24 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (56 56 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSETP))
 (32 16 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-CDR))
 (32 8 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (32 8 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (22 22 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-TRUEP-NEGATE-ASSIGNMENT))
 (21 21 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-NEGATE-ASSIGNMENT))
 (21 21 (:REWRITE PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE-IMPLIES-TRUEP-EVALUATE-CLAUSE-NEGATE-ASSIGNMENT))
 (17 17 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (16 16 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (16 16 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP-TRANSITIVE))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (8 8 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-MV-NTH-0-FIND-UNIT-CLAUSE-MV-NTH-1-FIND-UNIT-CLAUSE))
 )
(PROOF-CHECKER-ARRAY::ATP-LEMMA-INDUCTION
 (1232 2 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (1206 8 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (1021 28 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (986 89 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (981 64 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (848 32 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (847 8 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (559 68 (:DEFINITION MEMBER-EQUAL))
 (377 46 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (342 21 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (209 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (208 1 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (154 65 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (136 136 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (136 136 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (112 1 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (110 46 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (109 109 (:REWRITE DEFAULT-CAR))
 (102 102 (:REWRITE DEFAULT-CDR))
 (97 1 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSEP))
 (90 90 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (77 37 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (76 76 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (66 66 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (66 66 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (66 66 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (66 66 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (60 21 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (48 48 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (44 30 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (38 38 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (38 38 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (37 1 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (35 35 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (32 32 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (28 28 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
 (28 1 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (27 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (25 1 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (18 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (9 3 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (4 1 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (4 1 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (3 3 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE-ASSIGNMENT))
 (3 1 (:DEFINITION PROOF-CHECKER-ARRAY::NEGATE-ASSIGNMENT))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (1 1 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (1 1 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
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 )
(PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC
 (1745 9 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
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 (999 9 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (399 49 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (361 22 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (332 8 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-NEGATE-NEGATE-CLAUSE))
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 (193 193 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (193 193 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (170 74 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (145 145 (:REWRITE DEFAULT-CAR))
 (136 136 (:REWRITE DEFAULT-CDR))
 (116 4 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-NEGATE))
 (99 99 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (96 48 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (82 82 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (82 82 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (82 82 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (82 82 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (64 64 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (41 41 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (41 41 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (39 39 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (36 36 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
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 (16 16 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
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 (13 1 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (12 4 (:DEFINITION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (11 11 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (9 9 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (9 3 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-TRUE))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ARRAY::NEGATE-ASSIGNMENT-REVAPPEND
 (131 17 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (56 56 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (48 41 (:REWRITE DEFAULT-CAR))
 (46 1 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONS))
 (45 38 (:REWRITE DEFAULT-CDR))
 (36 12 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (9 9 (:TYPE-PRESCRIPTION TRUE-LISTP))
 )
(PROOF-CHECKER-ARRAY::CLAUSEP-REVAPPEND-NIL
 (510 10 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-TRUE-LISTP))
 (456 18 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (272 2 (:DEFINITION BINARY-APPEND))
 (270 4 (:DEFINITION TRUE-LISTP))
 (247 54 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (194 194 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (156 26 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (126 126 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FORMULAP))
 (111 35 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (96 96 (:REWRITE DEFAULT-CDR))
 (74 74 (:REWRITE DEFAULT-CAR))
 (48 8 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-TRUE-LISTP))
 (46 46 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (46 46 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (40 8 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-CDR))
 (37 37 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (36 18 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (20 20 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (20 20 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (20 20 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (20 20 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (12 4 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-REVAPPEND-NIL))
 (9 3 (:DEFINITION REVAPPEND))
 (8 8 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (8 8 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (7 7 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (4 4 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (4 4 (:TYPE-PRESCRIPTION REVAPPEND))
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(PROOF-CHECKER-ARRAY::MEMBER-REVAPPEND
 (3781 40 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSEP))
 (2249 14 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-TRUE-LISTP))
 (2191 21 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (2029 14 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-TRUE-LISTP))
 (1403 41 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
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 (1067 41 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (864 864 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (744 42 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (672 27 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (558 6 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-CDR))
 (513 171 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (338 334 (:REWRITE DEFAULT-CDR))
 (251 247 (:REWRITE DEFAULT-CAR))
 (223 223 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (223 223 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (190 190 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (190 190 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (183 183 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (139 139 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FORMULAP))
 (85 85 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (84 84 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (84 84 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (84 84 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (84 84 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (60 14 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-TRUE-LISTP))
 (54 42 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (42 42 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (42 42 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (40 40 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (40 20 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (20 20 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::CLAUSEP))
 )
(PROOF-CHECKER-ARRAY::MEMBER-REVAPPEND-2
 (5505 57 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSEP))
 (3316 20 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-TRUE-LISTP))
 (3235 30 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (2955 20 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-TRUE-LISTP))
 (2068 60 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (1803 361 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (1572 60 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (1258 1258 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (1101 61 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (902 39 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (744 248 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (744 8 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-CDR))
 (496 492 (:REWRITE DEFAULT-CDR))
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 (325 325 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (325 325 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (289 289 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (289 289 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (267 267 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (199 199 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FORMULAP))
 (126 126 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (124 124 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (124 124 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (124 124 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (124 124 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (86 62 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
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 (62 62 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (57 57 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (56 28 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (28 28 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::CLAUSEP))
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(PROOF-CHECKER-ARRAY::MEMBER-REVAPPEND-3
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 (3318 20 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-TRUE-LISTP))
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 (2955 20 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-TRUE-LISTP))
 (2068 60 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (1803 361 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (1572 60 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (1258 1258 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (1101 61 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (902 39 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (744 248 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (744 8 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-CDR))
 (499 495 (:REWRITE DEFAULT-CDR))
 (381 377 (:REWRITE DEFAULT-CAR))
 (325 325 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (325 325 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (291 291 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (291 291 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (267 267 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (200 200 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FORMULAP))
 (126 126 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (124 124 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (124 124 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (124 124 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (124 124 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (86 62 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (84 20 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-TRUE-LISTP))
 (62 62 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (62 62 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (58 29 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (57 57 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (28 28 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::CLAUSEP))
 )
(PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC
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 (458 8 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (450 4 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (409 32 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (400 16 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (342 2 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-REVAPPEND))
 (325 22 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (263 3 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-TRUE-LISTP))
 (256 2 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (173 42 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (162 1 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (125 125 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (125 125 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (120 120 (:REWRITE DEFAULT-CDR))
 (114 114 (:REWRITE DEFAULT-CAR))
 (91 7 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (63 21 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (54 22 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (50 21 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (48 48 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (48 48 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (48 48 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (48 48 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (33 11 (:DEFINITION REVAPPEND))
 (23 12 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (22 2 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (17 17 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (15 15 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (14 14 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FORMULAP))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (5 5 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (4 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (4 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (2 2 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 )
(PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC
 (4077 25 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (3568 73 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (3144 19 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (2926 94 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (1006 109 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (896 44 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (480 120 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (415 415 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (415 415 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (408 171 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (358 199 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (352 352 (:REWRITE DEFAULT-CAR))
 (332 332 (:REWRITE DEFAULT-CDR))
 (242 242 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (199 199 (:TYPE-PRESCRIPTION REVAPPEND))
 (198 198 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (198 198 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (198 198 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (198 198 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (162 162 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (96 96 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (96 96 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (96 96 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (96 96 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (94 94 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (71 19 (:DEFINITION REVAPPEND))
 (65 5 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (36 12 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (28 4 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (25 25 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (19 19 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (17 17 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (15 5 (:DEFINITION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-TRUE))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
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(PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE
 (1853 11 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (1786 2 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (1589 34 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (1543 107 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (1523 73 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (1471 8 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (1313 41 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (503 44 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (418 49 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (396 21 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (292 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (291 1 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (240 60 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (196 77 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (187 187 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (187 187 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (164 88 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (157 157 (:REWRITE DEFAULT-CAR))
 (150 150 (:REWRITE DEFAULT-CDR))
 (134 49 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (112 1 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (111 111 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (89 46 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (88 88 (:TYPE-PRESCRIPTION REVAPPEND))
 (88 88 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (88 88 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (88 88 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (88 88 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (78 78 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (77 18 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (69 21 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (53 33 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (44 44 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (44 44 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (44 44 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (44 44 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (41 41 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (39 3 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (28 28 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
 (27 9 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (23 7 (:DEFINITION REVAPPEND))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (14 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (4 1 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (4 1 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (3 1 (:DEFINITION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-SOLUTIONP-CONS
 (1591 31 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (1570 11 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (1370 107 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (1338 8 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (1025 41 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (623 83 (:DEFINITION MEMBER-EQUAL))
 (548 20 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (458 43 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (367 49 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (190 75 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (166 166 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (166 166 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (143 49 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (134 134 (:REWRITE DEFAULT-CAR))
 (123 123 (:REWRITE DEFAULT-CDR))
 (107 107 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (87 87 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (86 44 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (82 82 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (82 82 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (82 82 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (82 82 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (45 45 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (43 43 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (43 43 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (43 43 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (43 43 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (41 41 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (18 6 (:DEFINITION REVAPPEND))
 (14 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (13 13 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (13 1 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (12 12 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (12 12 (:TYPE-PRESCRIPTION REVAPPEND))
 (9 9 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (4 1 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (4 1 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ARRAY::EXISTS-SOLUTION-AND-ATP-IMPLIES-EXISTS-SOLUTION
 (23 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (14 14 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (13 1 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (9 3 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (8 8 (:REWRITE DEFAULT-CDR))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (7 7 (:REWRITE DEFAULT-CAR))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::ATP-LEMMA
 (2192 10 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (2058 2 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (1628 36 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (1526 38 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (1504 72 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (1458 8 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (598 2 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (596 2 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (480 120 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (469 25 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (454 46 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (368 46 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (312 160 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (207 78 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (169 169 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (169 169 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (160 160 (:TYPE-PRESCRIPTION REVAPPEND))
 (156 156 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (149 149 (:REWRITE DEFAULT-CAR))
 (142 142 (:REWRITE DEFAULT-CDR))
 (116 116 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (100 1 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (87 25 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (82 82 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (82 82 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (82 82 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (82 82 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (77 18 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (55 33 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (50 50 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (46 46 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (46 46 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (46 46 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (46 46 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (46 46 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (46 46 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (38 38 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (28 8 (:DEFINITION REVAPPEND))
 (27 9 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (14 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (13 13 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (6 2 (:DEFINITION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (4 1 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (4 1 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ARRAY::MODIFY-SOLUTION)
(PROOF-CHECKER-ARRAY::ASSIGNMENTP-MODIFY-SOLUTION
 (731 78 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (213 12 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (89 89 (:REWRITE DEFAULT-CDR))
 (73 73 (:REWRITE DEFAULT-CAR))
 (61 61 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (61 61 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (22 22 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (19 19 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (19 19 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (14 2 (:DEFINITION PROOF-CHECKER-ARRAY::REMOVE-LITERAL))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::REMOVE-LITERAL))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 )
(PROOF-CHECKER-ARRAY::MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE-MODIFY-SOLUTION
 (2550 4 (:REWRITE PROOF-CHECKER-ARRAY::IFF-TRUEP-EVALUATE-CLAUSE-CONS))
 (2533 38 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (2461 6 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (2234 71 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (2223 50 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (1995 17 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (1978 11 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (1955 39 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (1400 156 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-REMOVE-LITERAL))
 (1091 43 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (572 572 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (194 189 (:REWRITE DEFAULT-CAR))
 (183 183 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (183 183 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (175 171 (:REWRITE DEFAULT-CDR))
 (164 164 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (164 164 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (126 18 (:DEFINITION PROOF-CHECKER-ARRAY::REMOVE-LITERAL))
 (121 44 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (104 43 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (86 86 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (72 72 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (71 60 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (60 60 (:TYPE-PRESCRIPTION REVAPPEND))
 (45 28 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (41 11 (:DEFINITION REVAPPEND))
 (39 39 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (38 38 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (38 38 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (38 38 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (37 37 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (28 1 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (27 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (26 26 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (25 1 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (22 2 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (18 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (17 17 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (13 1 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (9 3 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (4 4 (:REWRITE CDR-CONS))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (1 1 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::TRUEP-EC-AND-NOT-MEMBER-NEGATE-IMPLIES-TRUEP-EC-MODIFY-SOLUTION
 (80035 770 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (79265 464 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (63784 1192 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (7578 7578 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (7578 7578 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (6426 6422 (:REWRITE DEFAULT-CAR))
 (6369 6369 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (6369 6369 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (5699 5695 (:REWRITE DEFAULT-CDR))
 (3719 3719 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (1907 1907 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (1712 1192 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (1534 226 (:DEFINITION PROOF-CHECKER-ARRAY::REMOVE-LITERAL))
 (1232 1232 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (1192 1192 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (1192 1192 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (1192 1192 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (1192 1192 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (1096 1085 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (1085 1085 (:TYPE-PRESCRIPTION REVAPPEND))
 (548 180 (:DEFINITION REVAPPEND))
 (498 83 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-NOT-EQUAL-NEGATE))
 (424 424 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (242 242 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::REMOVE-LITERAL))
 (166 166 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (83 83 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (83 83 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (83 83 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (4 4 (:REWRITE CDR-CONS))
 (4 4 (:REWRITE CAR-CONS))
 )
(PROOF-CHECKER-ARRAY::FIND-CONFLICTING-LITERAL)
(PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP-IMPLIES-FIND-CONFLICTING-LITERAL
 (60 16 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (40 40 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (35 35 (:REWRITE DEFAULT-CAR))
 (32 32 (:REWRITE DEFAULT-CDR))
 (26 26 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (26 26 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (26 26 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (26 26 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (26 26 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (12 4 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::FIND-CONFLICTING-LITERAL-IMPLIES-MEMBER
 (266 9 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP-IMPLIES-FIND-CONFLICTING-LITERAL))
 (209 11 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (117 21 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (78 78 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (64 64 (:REWRITE DEFAULT-CAR))
 (54 18 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (48 48 (:REWRITE DEFAULT-CDR))
 (45 45 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (37 37 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (37 37 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (24 24 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::FIND-CONFLICTING-LITERAL-IMPLIES-MEMBER-NEGATE
 (440 13 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP-IMPLIES-FIND-CONFLICTING-LITERAL))
 (352 17 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (201 33 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (134 134 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (109 109 (:REWRITE DEFAULT-CAR))
 (102 34 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (87 87 (:REWRITE DEFAULT-CDR))
 (70 70 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (70 70 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (69 69 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (51 51 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (51 51 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (51 51 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (42 42 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (21 21 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (21 21 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (21 21 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (6 1 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-NOT-EQUAL-NEGATE))
 )
(PROOF-CHECKER-ARRAY::EXISTS-CONFLICTING-LITERAL)
(PROOF-CHECKER-ARRAY::EXISTS-CONFLICTING-LITERAL-SUFF)
(PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP-IMPLIES-EXISTS-CONFLICTING-LITERAL
 (42 2 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-CONFLICTING-LITERAL))
 (20 2 (:DEFINITION MEMBER-EQUAL))
 (6 6 (:REWRITE DEFAULT-CDR))
 (6 6 (:REWRITE DEFAULT-CAR))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 )
(PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (3 3 (:REWRITE DEFAULT-CDR))
 (3 3 (:REWRITE DEFAULT-CAR))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (3 1 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 )
(PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE
 (16715 203 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (16512 124 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (10704 349 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (2094 2094 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (2094 2094 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (1619 1619 (:REWRITE DEFAULT-CAR))
 (1452 1452 (:REWRITE DEFAULT-CDR))
 (1062 1062 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (1062 1062 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (1062 1062 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (497 497 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (445 349 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (405 405 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (349 349 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (349 349 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (349 349 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (349 349 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (247 247 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (247 247 (:TYPE-PRESCRIPTION REVAPPEND))
 (192 64 (:DEFINITION REVAPPEND))
 (103 103 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 )
(PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-RESOLVENT-IMPLIES-TRUE-EC-MODIFY-SOLUTION
 (10146 249 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (9342 102 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (9240 75 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (7899 245 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (7498 168 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (6364 20 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (5100 8 (:REWRITE PROOF-CHECKER-ARRAY::IFF-TRUEP-EVALUATE-CLAUSE-CONS))
 (3530 187 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (1752 1686 (:REWRITE DEFAULT-CAR))
 (1736 1670 (:REWRITE DEFAULT-CDR))
 (1544 1544 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1544 1544 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (1324 70 (:DEFINITION PROOF-CHECKER-ARRAY::UNION))
 (1225 17 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-AND-NOT-MEMBER-NEGATE-IMPLIES-TRUEP-EC-MODIFY-SOLUTION))
 (1180 190 (:DEFINITION PROOF-CHECKER-ARRAY::REMOVE-LITERAL))
 (1136 269 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (797 797 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (797 797 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (740 740 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (636 17 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (629 629 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (586 258 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (399 133 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (323 17 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE-MODIFY-SOLUTION))
 (276 276 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::MODIFY-SOLUTION))
 (245 245 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (242 220 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (220 220 (:TYPE-PRESCRIPTION REVAPPEND))
 (187 187 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (168 168 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (168 168 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (168 168 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (162 162 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (124 124 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (124 36 (:DEFINITION REVAPPEND))
 (106 106 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (77 77 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (77 77 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (72 17 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (71 71 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (71 71 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (17 17 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE
 (9071 137 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (8964 64 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (8688 352 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (8192 540 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (7863 50 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (6534 242 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (4971 209 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (3029 284 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (1599 62 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (983 983 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (983 983 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (784 784 (:REWRITE DEFAULT-CAR))
 (702 702 (:REWRITE DEFAULT-CDR))
 (484 484 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (484 484 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (484 484 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (484 484 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (484 484 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (358 199 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (242 242 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (214 214 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (209 209 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (209 209 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (209 209 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (209 209 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (209 209 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (185 141 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (165 59 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (112 112 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (112 112 (:TYPE-PRESCRIPTION REVAPPEND))
 (96 32 (:DEFINITION REVAPPEND))
 (60 60 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
 (50 50 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (29 29 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (22 22 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-TRUE))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ARRAY::SOLUTION-LITERAL-AND-NOT-EQUAL-IMPLIES-TRUE-EVALUATE-CLAUSE-MODIFY-SOLUTION
 (2731 4 (:REWRITE PROOF-CHECKER-ARRAY::IFF-TRUEP-EVALUATE-CLAUSE-CONS))
 (2707 38 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (2628 6 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (2396 71 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (2381 50 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (2141 17 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (2124 11 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (2115 39 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (1168 43 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (193 188 (:REWRITE DEFAULT-CAR))
 (180 180 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (180 180 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (174 169 (:REWRITE DEFAULT-CDR))
 (160 160 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (160 160 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (160 160 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (140 20 (:DEFINITION PROOF-CHECKER-ARRAY::REMOVE-LITERAL))
 (127 44 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (108 43 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (82 82 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (72 72 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (71 60 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (60 60 (:TYPE-PRESCRIPTION REVAPPEND))
 (45 28 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (41 11 (:DEFINITION REVAPPEND))
 (39 39 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (38 38 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (38 38 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (38 38 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (38 38 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (37 37 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (26 26 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (17 17 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 )
(PROOF-CHECKER-ARRAY::CLAUSEP-RESOLUTION)
(PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER
 (446 4 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (442 3 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (434 2 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (325 25 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (302 16 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (297 11 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (239 4 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (176 22 (:DEFINITION MEMBER-EQUAL))
 (159 14 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (121 13 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (45 13 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (44 44 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (44 44 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (35 35 (:REWRITE DEFAULT-CAR))
 (34 13 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (32 32 (:REWRITE DEFAULT-CDR))
 (25 25 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (22 22 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (22 22 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (22 22 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (22 22 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (22 22 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (12 7 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (11 11 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (11 11 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (6 2 (:DEFINITION REVAPPEND))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (4 4 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (4 4 (:TYPE-PRESCRIPTION REVAPPEND))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 )
(PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER
 (22 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNION))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (12 2 (:DEFINITION PROOF-CHECKER-ARRAY::REMOVE-LITERAL))
 (10 10 (:REWRITE DEFAULT-CDR))
 (10 10 (:REWRITE DEFAULT-CAR))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::REMOVE-LITERAL))
 )
(PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE
 (5998 121 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (5173 134 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (5159 14 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (5136 42 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (4673 283 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (4427 240 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (4288 48 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (1621 180 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (1278 178 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (649 250 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (514 178 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (439 439 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (399 180 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (289 289 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (250 250 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (222 222 (:REWRITE DEFAULT-CAR))
 (195 195 (:REWRITE DEFAULT-CDR))
 (193 137 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (188 188 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (188 188 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (180 180 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (180 180 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (180 180 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (180 180 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (172 172 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (151 151 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (123 41 (:DEFINITION REVAPPEND))
 (121 121 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (121 121 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (81 81 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (78 78 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (72 18 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (48 48 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (48 11 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (44 2 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (42 42 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (36 36 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (36 36 (:TYPE-PRESCRIPTION REVAPPEND))
 (35 1 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (32 32 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (32 32 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (32 32 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (26 2 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (25 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNION))
 (18 18 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (15 5 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-TRUE))
 (12 2 (:DEFINITION PROOF-CHECKER-ARRAY::REMOVE-LITERAL))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-TRUE))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::REMOVE-LITERAL))
 )
(PROOF-CHECKER-ARRAY::TRUE-EC-RESOLUTION-IMPLIES-TRUE-EC-MODIFY-SOLUTION
 (3660 81 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (3579 60 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (2474 119 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (1980 180 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (859 107 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (714 36 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-RESOLVENT-IMPLIES-TRUE-EC-MODIFY-SOLUTION))
 (600 36 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-AND-NOT-MEMBER-NEGATE-IMPLIES-TRUEP-EC-MODIFY-SOLUTION))
 (571 25 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (485 485 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (485 485 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (426 189 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (232 232 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (232 232 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (232 232 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (209 209 (:REWRITE DEFAULT-CAR))
 (180 180 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (176 8 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (175 175 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (157 157 (:REWRITE DEFAULT-CDR))
 (144 144 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (126 16 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (125 125 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (119 119 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (119 119 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (119 119 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (112 84 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (103 103 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (84 84 (:TYPE-PRESCRIPTION REVAPPEND))
 (78 36 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE-MODIFY-SOLUTION))
 (77 21 (:DEFINITION REVAPPEND))
 (72 16 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (24 8 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 )
(PROOF-CHECKER-ARRAY::ATP-AND-TRUEP-EVALUATE-CLAUSE-IMPLIES-TRUEP-EVALUATE-CLAUSE-MODIFY-SOLUTION
 (6202 21 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (6056 56 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (6010 32 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (5232 236 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (5101 117 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (4458 250 (:DEFINITION MEMBER-EQUAL))
 (2969 87 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (2432 2 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (1710 113 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (1402 22 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (1319 107 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (738 738 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (736 736 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (736 736 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (529 91 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (479 5 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-AND-NOT-MEMBER-NEGATE-IMPLIES-TRUEP-EC-MODIFY-SOLUTION))
 (462 448 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (401 387 (:REWRITE DEFAULT-CAR))
 (368 354 (:REWRITE DEFAULT-CDR))
 (360 157 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (347 5 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-RESOLVENT-IMPLIES-TRUE-EC-MODIFY-SOLUTION))
 (299 113 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (231 231 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (231 231 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (231 231 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (218 218 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (164 91 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (162 3 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (117 117 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (92 92 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (87 87 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (87 87 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (85 85 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (85 76 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (76 76 (:TYPE-PRESCRIPTION REVAPPEND))
 (73 13 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (70 70 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::MODIFY-SOLUTION))
 (41 13 (:DEFINITION REVAPPEND))
 (30 30 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::RESOLUTION))
 (27 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (25 5 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE-MODIFY-SOLUTION))
 (21 21 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (9 9 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (9 3 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-CDR))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTION-LITERAL-AND-NOT-EQUAL-IMPLIES-TRUE-EVALUATE-CLAUSE-MODIFY-SOLUTION))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 )
(PROOF-CHECKER-ARRAY::TRUEP-EC-AND-RATP1-IMPLIES-TRUEP-EC-MODIFY-SOLUTION
 (62058 972 (:REWRITE PROOF-CHECKER-ARRAY::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (61572 324 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (59160 1008 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (53010 99 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (52719 96 (:DEFINITION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (40905 99 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-CDR))
 (30303 99 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (16638 181 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (16487 115 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (14421 1737 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (13836 3606 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (11826 345 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (9869 9869 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (9869 9869 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (8020 7948 (:REWRITE DEFAULT-CAR))
 (7992 7992 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (7985 7913 (:REWRITE DEFAULT-CDR))
 (6325 6115 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (4533 9 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (4027 178 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (3606 3606 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (3606 3606 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (3606 3606 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (2751 81 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (2109 2109 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (1325 166 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (1204 26 (:REWRITE PROOF-CHECKER-ARRAY::TRUE-EC-RESOLUTION-IMPLIES-TRUE-EC-MODIFY-SOLUTION))
 (1160 178 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (972 972 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
 (934 417 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (360 360 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::MODIFY-SOLUTION))
 (345 345 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (305 305 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (279 62 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (263 263 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (183 24 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE-MODIFY-SOLUTION))
 (178 178 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (178 178 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (178 178 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (178 178 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (168 168 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (168 168 (:TYPE-PRESCRIPTION REVAPPEND))
 (96 96 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (96 96 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP-TRANSITIVE))
 (93 31 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (54 54 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (54 18 (:DEFINITION REVAPPEND))
 (45 45 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (26 26 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTION-LITERAL-AND-NOT-EQUAL-IMPLIES-TRUE-EVALUATE-CLAUSE-MODIFY-SOLUTION))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-CDR))
 (9 9 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ARRAY::SUBSETP-REFLEXIVE
 (6286 145 (:REWRITE PROOF-CHECKER-ARRAY::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (6267 54 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (6078 18 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (6013 15 (:DEFINITION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (5882 151 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (2622 18 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (2018 709 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (939 939 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (766 766 (:REWRITE DEFAULT-CAR))
 (711 711 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (711 711 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (611 145 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
 (489 489 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (303 303 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (298 284 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (284 284 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (284 284 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (284 284 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (252 252 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (126 126 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (116 8 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (82 14 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (54 54 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (42 14 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (32 32 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (15 15 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (15 15 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP-TRANSITIVE))
 (12 12 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::TRUEP-EC-AND-RATP-IMPLIES-TRUEP-EC-MODIFY-SOLUTION
 (2757 26 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (2737 17 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (1843 115 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (1803 51 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (697 27 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (556 3 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-AND-NOT-MEMBER-NEGATE-IMPLIES-TRUEP-EC-MODIFY-SOLUTION))
 (503 47 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (487 3 (:REWRITE PROOF-CHECKER-ARRAY::ATP-AND-TRUEP-EVALUATE-CLAUSE-IMPLIES-TRUEP-EVALUATE-CLAUSE-MODIFY-SOLUTION))
 (481 1 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (368 7 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (334 334 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (334 334 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (334 334 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (274 3 (:REWRITE PROOF-CHECKER-ARRAY::TRUE-EC-RESOLUTION-IMPLIES-TRUE-EC-MODIFY-SOLUTION))
 (225 3 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-RESOLVENT-IMPLIES-TRUE-EC-MODIFY-SOLUTION))
 (223 7 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (208 22 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (206 192 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (193 27 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (189 177 (:REWRITE DEFAULT-CAR))
 (178 166 (:REWRITE DEFAULT-CDR))
 (115 115 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (115 115 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (115 115 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (108 59 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (94 94 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (63 14 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (60 60 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::MODIFY-SOLUTION))
 (51 51 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (44 44 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (42 42 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (37 3 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE-MODIFY-SOLUTION))
 (27 27 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (27 27 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (27 27 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (27 27 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (26 26 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (26 26 (:TYPE-PRESCRIPTION REVAPPEND))
 (22 22 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::RESOLUTION))
 (21 7 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (15 5 (:DEFINITION REVAPPEND))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (4 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-CDR))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTION-LITERAL-AND-NOT-EQUAL-IMPLIES-TRUE-EVALUATE-CLAUSE-MODIFY-SOLUTION))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ARRAY::FIND-FALSE-CLAUSE)
(PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-IMPLIES-FIND-FALSE-CLAUSE
 (7975 115 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (7890 48 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (7630 32 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (6336 176 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (3978 376 (:DEFINITION MEMBER-EQUAL))
 (2770 166 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (752 752 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (752 752 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (752 752 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (752 752 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (641 641 (:REWRITE DEFAULT-CAR))
 (595 595 (:REWRITE DEFAULT-CDR))
 (574 12 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (452 12 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (416 416 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (376 376 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (376 376 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (376 376 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (376 376 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (376 376 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (324 72 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (299 12 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (216 216 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (188 188 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (176 176 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (176 12 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (175 175 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (166 166 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (166 166 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (166 166 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (166 166 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (166 166 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (166 166 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (108 36 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (66 22 (:DEFINITION REVAPPEND))
 (64 64 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (64 64 (:TYPE-PRESCRIPTION REVAPPEND))
 (32 32 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (32 32 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (25 25 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (17 17 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-FALSE))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-UNDEF))
 (8 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-TRUE))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ARRAY::FIND-FALSE-CLAUSE-IMPLIES-CLAUSEP
 (13878 192 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (13726 83 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (13480 440 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (12305 58 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (11052 307 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (7800 8 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-IMPLIES-FIND-FALSE-CLAUSE))
 (7704 8 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (4311 267 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (4139 318 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (4080 84 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (1326 1326 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1326 1326 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (1326 1326 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (1308 1308 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (1222 469 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (1119 1119 (:REWRITE DEFAULT-CAR))
 (1044 1044 (:REWRITE DEFAULT-CDR))
 (656 656 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (656 656 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (656 656 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (656 656 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (656 656 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (541 122 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (387 84 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (358 358 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (328 328 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (307 307 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (303 207 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (293 293 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (267 267 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (267 267 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (267 267 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (267 267 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (267 267 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (267 267 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (183 61 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (100 100 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (100 100 (:TYPE-PRESCRIPTION REVAPPEND))
 (99 33 (:DEFINITION REVAPPEND))
 (88 19 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (72 72 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
 (58 58 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (32 32 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (24 24 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (21 21 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (21 21 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (20 5 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ARRAY::FIND-FALSE-CLAUSE-IMPLIES-MEMBER
 (12566 328 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (11620 128 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (11492 75 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (11320 50 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (9900 275 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (4216 256 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (4103 203 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (3788 66 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (2601 7 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-IMPLIES-FIND-FALSE-CLAUSE))
 (2570 17 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (1789 27 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (1787 17 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSEP))
 (1209 1209 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1209 1209 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (1209 1209 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (1199 1199 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (1056 1056 (:REWRITE DEFAULT-CAR))
 (973 973 (:REWRITE DEFAULT-CDR))
 (880 22 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (807 347 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (638 22 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (594 594 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (594 594 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (594 594 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (594 594 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (594 594 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (594 132 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (444 22 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (396 396 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (333 66 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (297 297 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (275 275 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (244 244 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (203 203 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (203 203 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (203 203 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (203 203 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (203 203 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (203 203 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (198 66 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (150 150 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (132 132 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (132 132 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (110 110 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (109 109 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FORMULAP))
 (100 100 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (100 100 (:TYPE-PRESCRIPTION REVAPPEND))
 (92 22 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (75 25 (:DEFINITION REVAPPEND))
 (50 50 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (44 44 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (34 17 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (22 22 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (22 22 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (17 17 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::FIND-FALSE-CLAUSE-IMPLIES-FALSEP-EVALUATE-CLAUSE
 (8148 224 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (7922 88 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (7834 51 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (7719 34 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (6732 187 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (4332 405 (:DEFINITION MEMBER-EQUAL))
 (3253 178 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (2791 139 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (2016 40 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (1655 5 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-IMPLIES-FIND-FALSE-CLAUSE))
 (1634 11 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (1153 11 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSEP))
 (1075 17 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (810 810 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (810 810 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (810 810 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (804 804 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (689 689 (:REWRITE DEFAULT-CAR))
 (646 646 (:REWRITE DEFAULT-CDR))
 (576 233 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (560 14 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (529 529 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (406 14 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (402 402 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (402 402 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (402 402 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (402 402 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (402 402 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (378 84 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (280 14 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (252 252 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (201 201 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (199 40 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (187 187 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (163 163 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (139 139 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (139 139 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (139 139 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (139 139 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (139 139 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (139 139 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (126 42 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (101 101 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (84 84 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (84 84 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (71 71 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FORMULAP))
 (70 70 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (68 68 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (68 68 (:TYPE-PRESCRIPTION REVAPPEND))
 (56 14 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (51 17 (:DEFINITION REVAPPEND))
 (34 34 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (28 28 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (22 11 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (11 11 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::EXISTS-FALSE-CLAUSE)
(PROOF-CHECKER-ARRAY::EXISTS-FALSE-CLAUSE-SUFF)
(PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-IMPLIES-EXISTS-FALSE-CLAUSE
 (3780 6 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-FALSE-CLAUSE))
 (3540 151 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (3474 86 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (3097 13 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (3048 33 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (3015 20 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (2628 73 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (1533 146 (:DEFINITION MEMBER-EQUAL))
 (1182 18 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (1145 53 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (1010 67 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (292 292 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (292 292 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (292 292 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (292 292 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (238 238 (:REWRITE DEFAULT-CAR))
 (212 212 (:REWRITE DEFAULT-CDR))
 (202 92 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (184 67 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (146 146 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (146 146 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (146 146 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (146 146 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (146 146 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (138 138 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (104 53 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (90 18 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (73 73 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (73 73 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (65 65 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (53 53 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (53 53 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (53 53 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (53 53 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (53 53 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (53 53 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (39 39 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (28 28 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (28 28 (:TYPE-PRESCRIPTION REVAPPEND))
 (21 7 (:DEFINITION REVAPPEND))
 (13 13 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 )
(PROOF-CHECKER-ARRAY::FIND-UNDEF-CLAUSE)
(PROOF-CHECKER-ARRAY::UNDEFP-EVALUATE-FORMULA-IMPLIES-FIND-UNDEF-CLAUSE
 (12553 203 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (12425 73 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (12138 48 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (9612 267 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (6033 570 (:DEFINITION MEMBER-EQUAL))
 (4453 283 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (1140 1140 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1140 1140 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (1140 1140 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (1140 1140 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (978 978 (:REWRITE DEFAULT-CAR))
 (913 18 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (906 906 (:REWRITE DEFAULT-CDR))
 (680 18 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (634 634 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (570 570 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (570 570 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (570 570 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (570 570 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (570 570 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (486 108 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (452 18 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (324 324 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (288 288 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (285 285 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (283 283 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (283 283 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (283 283 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (283 283 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (283 283 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (283 283 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (267 267 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (266 18 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (162 54 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (120 40 (:DEFINITION REVAPPEND))
 (100 100 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (100 100 (:TYPE-PRESCRIPTION REVAPPEND))
 (48 48 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (43 43 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (41 41 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (26 26 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-FALSE))
 (20 20 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (20 20 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (20 20 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (18 18 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (18 18 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (18 18 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (18 18 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-UNDEF))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-TRUE))
 (8 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 )
(PROOF-CHECKER-ARRAY::FIND-UNDEF-CLAUSE-IMPLIES-CLAUSEP
 (15371 293 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (15203 83 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (13355 58 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (12061 769 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (11793 517 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (11052 307 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (7824 8 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-EVALUATE-FORMULA-IMPLIES-FIND-UNDEF-CLAUSE))
 (7728 8 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (4702 352 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (1326 1326 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1326 1326 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (1326 1326 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (1308 1308 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (1136 1136 (:REWRITE DEFAULT-CAR))
 (1122 357 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (1061 1061 (:REWRITE DEFAULT-CDR))
 (656 656 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (656 656 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (656 656 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (656 656 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (656 656 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (649 337 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (576 237 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (541 122 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (364 364 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (358 358 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (352 352 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (352 352 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (352 352 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (352 352 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (352 352 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (352 352 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (328 328 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (307 307 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (255 111 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (183 61 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (150 50 (:DEFINITION REVAPPEND))
 (100 100 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (100 100 (:TYPE-PRESCRIPTION REVAPPEND))
 (88 19 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (64 64 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
 (58 58 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (40 40 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (24 24 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (21 21 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (21 21 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (20 5 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ARRAY::FIND-UNDEF-CLAUSE-IMPLIES-MEMBER
 (13832 282 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (13675 75 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (12875 50 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (10249 672 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (10020 453 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (9900 275 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (4678 328 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (2601 7 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-EVALUATE-FORMULA-IMPLIES-FIND-UNDEF-CLAUSE))
 (2570 17 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (1789 27 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (1787 17 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSEP))
 (1209 1209 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1209 1209 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (1209 1209 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (1199 1199 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (1081 1081 (:REWRITE DEFAULT-CAR))
 (1050 325 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (998 998 (:REWRITE DEFAULT-CDR))
 (880 22 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (638 22 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (603 310 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (594 594 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (594 594 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (594 594 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (594 594 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (594 594 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (594 132 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (572 210 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (444 22 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (396 396 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (347 347 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (328 328 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (328 328 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (328 328 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (328 328 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (328 328 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (328 328 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (297 297 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (275 275 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (198 66 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (150 50 (:DEFINITION REVAPPEND))
 (132 132 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (132 132 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (110 110 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (109 109 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FORMULAP))
 (100 100 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (100 100 (:TYPE-PRESCRIPTION REVAPPEND))
 (92 22 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (69 69 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (50 50 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (44 44 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (34 17 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (22 22 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (22 22 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (17 17 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::FIND-UNDEF-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE
 (9397 183 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (9299 51 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (8755 34 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (6981 455 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (6759 309 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (6732 187 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (4332 405 (:DEFINITION MEMBER-EQUAL))
 (3182 224 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (1655 5 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-EVALUATE-FORMULA-IMPLIES-FIND-UNDEF-CLAUSE))
 (1634 11 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (1153 11 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSEP))
 (1075 17 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (810 810 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (810 810 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (810 810 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (804 804 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (714 221 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (706 706 (:REWRITE DEFAULT-CAR))
 (663 663 (:REWRITE DEFAULT-CDR))
 (560 14 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (529 529 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (406 14 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (405 203 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (402 402 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (402 402 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (402 402 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (402 402 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (402 402 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (378 84 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (344 135 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (280 14 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (252 252 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (234 234 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (224 224 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (224 224 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (224 224 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (224 224 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (224 224 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (224 224 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (201 201 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (187 187 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (126 42 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (102 34 (:DEFINITION REVAPPEND))
 (84 84 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (84 84 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (71 71 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FORMULAP))
 (70 70 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (68 68 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (68 68 (:TYPE-PRESCRIPTION REVAPPEND))
 (56 14 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (43 43 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (34 34 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (28 28 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (22 11 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (11 11 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::EXISTS-UNDEF-CLAUSE)
(PROOF-CHECKER-ARRAY::EXISTS-UNDEF-CLAUSE-SUFF)
(PROOF-CHECKER-ARRAY::UNDEFP-EVALUATE-FORMULA-IMPLIES-EXISTS-UNDEF-CLAUSE
 (4344 6 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNDEF-CLAUSE))
 (3594 75 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (3549 20 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (3481 13 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (2772 175 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (2742 116 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (2628 73 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (1533 146 (:DEFINITION MEMBER-EQUAL))
 (1283 83 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (1046 85 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (472 134 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (292 292 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (292 292 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (292 292 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (292 292 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (274 85 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (244 244 (:REWRITE DEFAULT-CAR))
 (228 228 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (218 218 (:REWRITE DEFAULT-CDR))
 (159 57 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (152 83 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (146 146 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (146 146 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (146 146 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (146 146 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (146 146 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (89 89 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (83 83 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (83 83 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (83 83 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (83 83 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (83 83 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (83 83 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (73 73 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (73 73 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (54 18 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (39 13 (:DEFINITION REVAPPEND))
 (28 28 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (28 28 (:TYPE-PRESCRIPTION REVAPPEND))
 (18 18 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (13 13 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 )
(PROOF-CHECKER-ARRAY::MEMBER-CDR
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (2 2 (:REWRITE DEFAULT-CAR))
 )
(PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-RATP-IMPLIES-TRUEP-EVALUATE-FORMULA-MODIFY-SOLUTION
 (1395183 8235 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (1393713 2229 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (1376754 4806 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (1057581 1548 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (803705 16043 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-REMOVE-LITERAL))
 (654204 8119 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (325019 58026 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (161746 98040 (:REWRITE DEFAULT-CDR))
 (140997 45064 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (120116 120116 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (104040 104040 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (104040 104040 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (60448 59708 (:REWRITE DEFAULT-CAR))
 (58012 58012 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (58012 58012 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (50010 50010 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (32650 32650 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (32536 8134 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (31523 486 (:REWRITE PROOF-CHECKER-ARRAY::ATP-AND-TRUEP-EVALUATE-CLAUSE-IMPLIES-TRUEP-EVALUATE-CLAUSE-MODIFY-SOLUTION))
 (24558 14387 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (23803 486 (:REWRITE PROOF-CHECKER-ARRAY::TRUE-EC-RESOLUTION-IMPLIES-TRUE-EC-MODIFY-SOLUTION))
 (20450 25 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (20425 25 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (19588 2622 (:DEFINITION PROOF-CHECKER-ARRAY::REMOVE-LITERAL))
 (14960 40 (:REWRITE APPEND-TO-NIL))
 (14387 14387 (:TYPE-PRESCRIPTION REVAPPEND))
 (12987 486 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-AND-NOT-MEMBER-NEGATE-IMPLIES-TRUEP-EC-MODIFY-SOLUTION))
 (11603 486 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-RESOLVENT-IMPLIES-TRUE-EC-MODIFY-SOLUTION))
 (10528 646 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-CDR))
 (9984 9984 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (9293 7311 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (8760 20 (:DEFINITION BINARY-APPEND))
 (8740 40 (:DEFINITION TRUE-LISTP))
 (8520 10 (:REWRITE PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP-REVAPPEND))
 (8400 80 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-TRUE-LISTP))
 (8260 10 (:REWRITE PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP-REVAPPEND))
 (8242 1804 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (8235 8235 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (8128 486 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE-MODIFY-SOLUTION))
 (8119 8119 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (8119 8119 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (8119 8119 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (8082 8082 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (7708 486 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-AND-RATP1-IMPLIES-TRUEP-EC-MODIFY-SOLUTION))
 (7067 224 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-AND-RATP-IMPLIES-TRUEP-EC-MODIFY-SOLUTION))
 (7000 7000 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (6086 140 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (5520 80 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-TRUE-LISTP))
 (4983 1491 (:DEFINITION REVAPPEND))
 (3456 1142 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (3131 31 (:DEFINITION PROOF-CHECKER-ARRAY::UNION))
 (2850 2850 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (2719 159 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (1479 1479 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::RESOLUTION))
 (1216 1216 (:REWRITE CDR-CONS))
 (888 888 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (830 10 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-REVAPPEND))
 (720 80 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-TRUE-LISTP))
 (703 661 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (634 634 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (624 624 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (486 486 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTION-LITERAL-AND-NOT-EQUAL-IMPLIES-TRUE-EVALUATE-CLAUSE-MODIFY-SOLUTION))
 (365 29 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-NOT-EQUAL-NEGATE))
 (300 60 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-REVAPPEND-NIL))
 (200 200 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (178 178 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (175 25 (:DEFINITION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (140 140 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (140 140 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (119 119 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-TRUE))
 (100 100 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (100 100 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (69 3 (:REWRITE PROOF-CHECKER-ARRAY::NEGATE-NEGATE))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-REMOVE-LITERAL))
 )
(PROOF-CHECKER-ARRAY::EQUAL-FALSEP-EVALUATE-FORMULA-CONS
 (15982 101 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (15916 36 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (14763 133 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (13120 25 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (12089 323 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (11785 220 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (10379 579 (:DEFINITION MEMBER-EQUAL))
 (10155 1420 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (4796 139 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (4154 157 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (3501 3501 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1420 1420 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1420 1420 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (1420 1420 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (1229 1229 (:REWRITE DEFAULT-CDR))
 (1005 143 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (737 737 (:REWRITE DEFAULT-CAR))
 (731 228 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (665 665 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (665 665 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (665 665 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (665 665 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (532 532 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (532 532 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (349 349 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (266 266 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (249 135 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (182 96 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (143 143 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (139 139 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (139 139 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (139 139 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (139 139 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (139 139 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (133 133 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (72 72 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (72 72 (:TYPE-PRESCRIPTION REVAPPEND))
 (60 20 (:DEFINITION REVAPPEND))
 (47 47 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
 (25 25 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (21 21 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (18 18 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-UNDEF))
 )
(PROOF-CHECKER-ARRAY::EXISTS-SOLUTION-AND-RATP-AND-TRUEP-IMPLIES-EXISTS-SOLUTION
 (1981 5 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (1929 3 (:DEFINITION PROOF-CHECKER-ARRAY::ATP))
 (1839 3 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (1836 3 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (1743 15 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (1543 48 (:DEFINITION MEMBER-EQUAL))
 (1317 153 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (644 1 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-SOLUTIONP-CONS))
 (644 1 (:REWRITE PROOF-CHECKER-ARRAY::EXISTS-SOLUTION-AND-ATP-IMPLIES-EXISTS-SOLUTION))
 (644 1 (:REWRITE PROOF-CHECKER-ARRAY::ATP-LEMMA))
 (360 37 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (324 162 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (293 17 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (282 117 (:REWRITE DEFAULT-CDR))
 (271 61 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (234 1 (:REWRITE PROOF-CHECKER-ARRAY::TRUE-EC-RESOLUTION-IMPLIES-TRUE-EC-MODIFY-SOLUTION))
 (184 24 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (168 168 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (162 162 (:TYPE-PRESCRIPTION REVAPPEND))
 (162 8 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (153 153 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (150 150 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (150 150 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (145 1 (:REWRITE PROOF-CHECKER-ARRAY::ATP-AND-TRUEP-EVALUATE-CLAUSE-IMPLIES-TRUEP-EVALUATE-CLAUSE-MODIFY-SOLUTION))
 (133 1 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-RESOLVENT-IMPLIES-TRUE-EC-MODIFY-SOLUTION))
 (115 1 (:DEFINITION PROOF-CHECKER-ARRAY::RESOLUTION))
 (111 1 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (101 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNION))
 (83 83 (:REWRITE DEFAULT-CAR))
 (77 54 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (63 1 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-REMOVE-LITERAL))
 (60 60 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (60 60 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (60 60 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (57 1 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-AND-NOT-MEMBER-NEGATE-IMPLIES-TRUEP-EC-MODIFY-SOLUTION))
 (51 15 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (49 49 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (44 10 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (36 22 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (34 13 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (31 31 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (30 15 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (29 11 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (26 1 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (19 1 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-AND-RATP-IMPLIES-TRUEP-EC-MODIFY-SOLUTION))
 (19 1 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (18 18 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
 (17 17 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (15 15 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (15 3 (:DEFINITION REVAPPEND))
 (14 14 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::REMOVE-LITERAL))
 (13 13 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (13 2 (:DEFINITION PROOF-CHECKER-ARRAY::REMOVE-LITERAL))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (10 5 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNION))
 (9 9 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (9 9 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (9 3 (:DEFINITION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (9 2 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (8 5 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (8 5 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (5 5 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (3 1 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-AND-RATP1-IMPLIES-TRUEP-EC-MODIFY-SOLUTION))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTION-LITERAL-AND-NOT-EQUAL-IMPLIES-TRUE-EVALUATE-CLAUSE-MODIFY-SOLUTION))
 (1 1 (:REWRITE CDR-CONS))
 (1 1 (:REWRITE CAR-CONS))
 )
(PROOF-CHECKER-ARRAY::FIND-UNDEF-LITERAL)
(PROOF-CHECKER-ARRAY::UNDEFP-EC-IMPLIES-FIND-UNDEF-LITERAL
 (12480 86 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (12414 48 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (10434 1380 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (8472 308 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (8445 290 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (7919 673 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (3367 166 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (2995 9 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (1380 1380 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1380 1380 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (1380 1380 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (1126 1126 (:REWRITE DEFAULT-CDR))
 (823 257 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (792 792 (:REWRITE DEFAULT-CAR))
 (714 714 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (673 673 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (673 673 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (673 673 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (408 18 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (407 211 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (352 352 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (264 166 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (247 247 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (191 191 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (166 166 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (166 166 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (166 166 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (166 166 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (164 164 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (118 118 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (102 28 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (84 28 (:DEFINITION REVAPPEND))
 (68 68 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (47 47 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-TRUE))
 (28 28 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-UNDEF))
 (27 27 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (27 27 (:TYPE-PRESCRIPTION REVAPPEND))
 (18 18 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (18 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (9 9 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (9 9 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-FALSE))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-NOT-EQUAL-NEGATE))
 )
(PROOF-CHECKER-ARRAY::FIND-UNDEF-LITERAL-IMPLIES-MEMBER-CLAUSE
 (21915 15 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-EC-IMPLIES-FIND-UNDEF-LITERAL))
 (21855 20 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSEP))
 (19301 24 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (17046 780 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (12719 63 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (12656 63 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (11900 252 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (11333 63 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (8027 357 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (7224 322 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (6692 259 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (6041 5 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-CDR))
 (1721 24 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (1638 1638 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1638 1638 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (1638 1638 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (1389 1389 (:REWRITE DEFAULT-CDR))
 (966 966 (:REWRITE DEFAULT-CAR))
 (921 921 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (831 145 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (780 780 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (780 780 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (780 780 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (707 259 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (581 196 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (554 554 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (504 25 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (488 196 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (396 132 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (357 259 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (350 350 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (256 256 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (252 252 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (252 154 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (196 196 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (196 196 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (196 196 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (196 196 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (196 196 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (154 154 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (105 105 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (105 105 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (105 35 (:DEFINITION REVAPPEND))
 (98 98 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (86 86 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (63 63 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (63 63 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (29 29 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (29 29 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (29 29 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (20 20 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::CLAUSEP))
 (20 20 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::FIND-UNDEF-LITERAL-IMPLIES-NOT-MEMBER-ASSIGNMENT
 (19413 13 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-EC-IMPLIES-FIND-UNDEF-LITERAL))
 (19359 18 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSEP))
 (16987 22 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (14877 675 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (14315 1458 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (10902 54 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (10848 54 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (10200 216 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (9714 54 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (7140 306 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (6192 276 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (6131 5 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-CDR))
 (5736 222 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (1603 22 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (1458 1458 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1458 1458 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (1458 1458 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (1235 1235 (:REWRITE DEFAULT-CDR))
 (844 844 (:REWRITE DEFAULT-CAR))
 (800 800 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (777 133 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (678 168 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (675 675 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (675 675 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (675 675 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (606 222 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (518 518 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (498 168 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (470 23 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (378 126 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (306 222 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (300 300 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (222 222 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (216 216 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (216 132 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (168 168 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (168 168 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (168 168 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (168 168 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (168 168 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (132 132 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (95 95 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (95 95 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (90 30 (:DEFINITION REVAPPEND))
 (84 84 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (78 78 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (59 59 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (54 54 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (27 27 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (27 27 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (27 27 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (18 18 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::CLAUSEP))
 (18 18 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::FIND-UNDEF-LITERAL-IMPLIES-NOT-MEMBER-NEGATE-ASSIGNMENT
 (19569 13 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-EC-IMPLIES-FIND-UNDEF-LITERAL))
 (19515 18 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSEP))
 (17143 22 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (15068 740 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (14510 1458 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (10902 54 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (10848 54 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (10200 216 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (9714 54 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (7296 306 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (6192 276 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (6183 5 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-CDR))
 (5736 222 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (1603 22 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (1458 1458 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1458 1458 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (1458 1458 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (1235 1235 (:REWRITE DEFAULT-CDR))
 (844 844 (:REWRITE DEFAULT-CAR))
 (834 168 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (800 800 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (777 133 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (740 740 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (740 740 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (740 740 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (606 222 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (518 518 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (498 168 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (470 23 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (378 126 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (306 222 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (300 300 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (248 248 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (216 216 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (216 132 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (168 168 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (168 168 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (168 168 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (168 168 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (168 168 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (132 132 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (95 95 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (95 95 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (90 30 (:DEFINITION REVAPPEND))
 (84 84 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (78 78 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (59 59 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (54 54 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (27 27 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (27 27 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (27 27 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (18 18 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::CLAUSEP))
 (18 18 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::EXISTS-UNDEF-LITERAL)
(PROOF-CHECKER-ARRAY::EXISTS-UNDEF-LITERAL-SUFF)
(PROOF-CHECKER-ARRAY::UNDEFP-EC-IMPLIES-EXISTS-UNDEF-LITERAL
 (456 63 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (348 3 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNDEF-LITERAL))
 (69 69 (:REWRITE DEFAULT-CDR))
 (69 18 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (63 63 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (63 63 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (63 63 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (45 45 (:REWRITE DEFAULT-CAR))
 (42 42 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (27 9 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::TRUEP-EF-IMPLIES-TRUEP-EF-CONS
 (56738 220 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (56606 103 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (49353 309 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (36509 4824 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (15785 378 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (10869 474 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (7548 346 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (4824 4824 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (4824 4824 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (4824 4824 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (4168 4168 (:REWRITE DEFAULT-CDR))
 (2951 2951 (:REWRITE DEFAULT-CAR))
 (2169 2169 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (2169 2169 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (2169 2169 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (2169 2169 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (1938 1938 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (1726 1672 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (930 930 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (378 378 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (378 378 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (378 378 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (378 378 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (378 378 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (333 333 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (312 312 (:REWRITE CDR-CONS))
 (309 309 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (289 289 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (201 67 (:DEFINITION REVAPPEND))
 (180 180 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (180 180 (:TYPE-PRESCRIPTION REVAPPEND))
 (156 156 (:REWRITE CAR-CONS))
 (66 66 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (60 60 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (19 19 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-TRUE))
 )
(PROOF-CHECKER-ARRAY::EQUAL-UNDEFP-EVALUATE-FORMULA-CONS
 (15015 91 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (14954 34 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (13986 126 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (12210 299 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (12000 24 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (11927 201 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (9772 544 (:DEFINITION MEMBER-EQUAL))
 (9602 1336 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (4299 123 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (3724 43 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (3284 3284 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1336 1336 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1336 1336 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (1336 1336 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (1158 1158 (:REWRITE DEFAULT-CDR))
 (851 127 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (692 692 (:REWRITE DEFAULT-CAR))
 (630 630 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (630 630 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (630 630 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (630 630 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (601 211 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (504 504 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (504 504 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (418 141 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (310 310 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (252 252 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (180 94 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (127 127 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (126 126 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (123 123 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (123 123 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (123 123 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (123 123 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (123 123 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (62 62 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (62 62 (:TYPE-PRESCRIPTION REVAPPEND))
 (51 17 (:DEFINITION REVAPPEND))
 (47 47 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (22 22 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (18 18 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
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(PROOF-CHECKER-ARRAY::TRUEP-EF-AND-UNDEFP-EF-CONS-IMPLIES-EXISTS-SOLUTION
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(PROOF-CHECKER-ARRAY::SOLUTIONP-AND-TRUEP-EF-CONS-IMPLIES-EXISTS-SOLUTION
 (17466 29 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (15987 109 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
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 (12069 3 (:DEFINITION PROOF-CHECKER-ARRAY::ATP))
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 (11485 1178 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (11197 483 (:DEFINITION MEMBER-EQUAL))
 (10261 297 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
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(PROOF-CHECKER-ARRAY::SOLUTIONP-AND-RATP-IMPLIES-EXISTS-SOLUTION-CONS
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 (540 540 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
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(PROOF-CHECKER-ARRAY::EXISTS-SOLUTION-AND-RATP-IMPLIES-EXISTS-SOLUTION-CONS
 (39 3 (:DEFINITION MEMBER-EQUAL))
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(PROOF-CHECKER-ARRAY::RATP-LEMMA)
(PROOF-CHECKER-ARRAY::SOLUTION-AND-MEMBER-NIL-IMPLIES-NOT-VERIFY-PROOF
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(PROOF-CHECKER-ARRAY::VERIFY-PROOF-INDUCTION
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(PROOF-CHECKER-ARRAY::EXISTS-SOLUTION-IMPLIES-NOT-REFUTATIONP
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 )
(PROOF-CHECKER-ARRAY::REFUTATIONP-IMPLIES-NOT-EXISTS-SOLUTION)
(PROOF-CHECKER-ARRAY::MAIN-THEOREM
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 (27 9 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (26 26 (:REWRITE DEFAULT-CAR))
 (15 15 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (15 15 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (15 15 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (15 15 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (12 12 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (10 10 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (10 10 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (7 7 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (6 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (4 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 )