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|
(PROOF-CHECKER-ARRAY::EVALUATE-LITERAL)
(PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE
(50 12 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
(39 3 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
(20 20 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
(20 20 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
(20 20 (:REWRITE DEFAULT-CDR))
(18 18 (:REWRITE DEFAULT-CAR))
(18 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
(6 6 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
(6 6 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
(3 3 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
(3 2 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
(3 2 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
(2 2 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
(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))
(1 1 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
(1 1 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
)
(PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE
(76 76 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
(76 76 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
(60 60 (:REWRITE DEFAULT-CAR))
(46 46 (:REWRITE DEFAULT-CDR))
(32 32 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
)
(PROOF-CHECKER-ARRAY::EVALUATE-FORMULA)
(PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA
(684 12 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
(252 12 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
(156 24 (:DEFINITION MEMBER-EQUAL))
(48 48 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
(48 48 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
(48 48 (:REWRITE DEFAULT-CAR))
(41 41 (:REWRITE DEFAULT-CDR))
(24 24 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
(24 24 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
(24 24 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
)
(PROOF-CHECKER-ARRAY::IFF-TRUEP-EVALUATE-CLAUSE-CONS
(227 227 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
(227 227 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
(198 198 (:REWRITE DEFAULT-CAR))
(137 137 (:REWRITE DEFAULT-CDR))
(88 88 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
)
(PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-CONS
(631 112 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
(627 11 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
(274 105 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
(231 11 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
(143 22 (:DEFINITION MEMBER-EQUAL))
(127 68 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
(107 47 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
(103 62 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
(77 49 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
(77 47 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
(63 63 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
(44 44 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
(44 44 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
(39 39 (:REWRITE DEFAULT-CDR))
(39 39 (:REWRITE DEFAULT-CAR))
(22 22 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
(22 22 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
(22 22 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
(5 5 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-FALSE))
)
(PROOF-CHECKER-ARRAY::NOT-UNDEFP-EVALUATE-CLAUSE-CONS
(823 823 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
(823 823 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
(609 609 (:REWRITE DEFAULT-CAR))
(473 473 (:REWRITE DEFAULT-CDR))
(128 128 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
)
(PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL
(23464 616 (:REWRITE PROOF-CHECKER-ARRAY::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
(23436 210 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
(21658 70 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
(21616 616 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
(21448 70 (:DEFINITION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
(20720 70 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-CDR))
(19222 28 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSETP))
(12659 1810 (:DEFINITION MEMBER-EQUAL))
(10360 70 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
(4886 4886 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
(4064 4064 (:REWRITE DEFAULT-CDR))
(4064 4064 (:REWRITE DEFAULT-CAR))
(3626 3626 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
(1748 1748 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
(1746 1746 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
(1372 1372 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
(616 616 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
(70 70 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
(70 70 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP-TRANSITIVE))
(7 7 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
(3 3 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
)
(PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE
(43576 1144 (:REWRITE PROOF-CHECKER-ARRAY::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
(43524 390 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
(40222 130 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
(40144 1144 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
(39832 130 (:DEFINITION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
(38480 130 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-CDR))
(35698 52 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSETP))
(19240 130 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
(9074 9074 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
(7720 7720 (:REWRITE DEFAULT-CAR))
(7691 7691 (:REWRITE DEFAULT-CDR))
(6936 6936 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
(3329 3329 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
(2548 2548 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
(1144 1144 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
(147 43 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
(130 130 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
(130 130 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP-TRANSITIVE))
(36 36 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
(18 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
(15 15 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
(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))
(10 10 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
)
(PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA
(2079 7 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SET-EQUALP))
(2058 7 (:DEFINITION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
(1512 42 (:REWRITE PROOF-CHECKER-ARRAY::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
(1512 14 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
(1386 42 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
(1044 18 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
(480 480 (:REWRITE DEFAULT-CDR))
(474 474 (:REWRITE DEFAULT-CAR))
(436 436 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
(436 436 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
(416 96 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
(400 16 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
(378 18 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
(336 336 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
(180 180 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
(180 180 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
(144 48 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
(91 91 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
(64 16 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
(42 42 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
(18 18 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
(17 17 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
(16 16 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
(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))
(8 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
(7 7 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
(7 7 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP-TRANSITIVE))
)
(PROOF-CHECKER-ARRAY::SHORTEN-LONG-ASSIGNMENT)
(PROOF-CHECKER-ARRAY::LITERAL-LISTP-SHORTEN-LONG-ASSIGNMENT)
(PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP-SHORTEN-LONG-ASSIGNMENT)
(PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP-SHORTEN-LONG-ASSIGNMENT)
(PROOF-CHECKER-ARRAY::ASSIGNMENTP-SHORTEN-LONG-ASSIGNMENT)
(PROOF-CHECKER-ARRAY::SUBSETP-SHORTEN-LONG-ASSIGNMENT)
(PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-SHORTEN-LONG-ASSIGNMENT)
(PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-LITERAL-SHORTEN-LONG-ASSIGNMENT
(134 18 (:DEFINITION MEMBER-EQUAL))
(84 3 (:DEFINITION PROOF-CHECKER-ARRAY::UNION-VARIABLES))
(43 5 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES3))
(36 36 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
(36 36 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
(30 30 (:REWRITE DEFAULT-CAR))
(27 27 (:REWRITE DEFAULT-CDR))
(18 18 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
(18 18 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
(8 8 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNION-VARIABLES))
(7 5 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
(7 5 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
(6 3 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
(6 3 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
(6 1 (:REWRITE PROOF-CHECKER-ARRAY::NEGATE-NEGATE))
(4 4 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
(3 1 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
(3 1 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
(2 2 (: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))
(1 1 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
)
(PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SHORTEN-LONG-ASSIGNMENT
(42882 357 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
(42504 1071 (:REWRITE PROOF-CHECKER-ARRAY::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
(39333 1155 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
(35742 91 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
(35469 91 (:DEFINITION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
(27468 91 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-CDR))
(22120 91 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
(9072 9072 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
(8247 8247 (:REWRITE DEFAULT-CAR))
(8171 8171 (:REWRITE DEFAULT-CDR))
(3608 3608 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
(2261 2261 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
(2184 39 (:DEFINITION PROOF-CHECKER-ARRAY::UNION-VARIABLES))
(1430 64 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES3))
(1071 1071 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
(91 91 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
(91 91 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP-TRANSITIVE))
(66 11 (:REWRITE PROOF-CHECKER-ARRAY::NEGATE-NEGATE))
(57 57 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
(48 8 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-NOT-EQUAL-NEGATE))
(38 38 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
(38 38 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
(19 19 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
(19 19 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
(19 19 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
)
(PROOF-CHECKER-ARRAY::SUBSETP-LIST-TRUEP-EVALUATE-FORMULA-SHORTEN-LONG-ASSIGNMENT
(63180 1755 (:REWRITE PROOF-CHECKER-ARRAY::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
(63180 585 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
(57915 1755 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
(57915 195 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
(57330 195 (:DEFINITION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
(53547 78 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSETP))
(53352 195 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-CDR))
(34263 4976 (:DEFINITION MEMBER-EQUAL))
(28860 195 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
(14040 14040 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
(11711 11711 (:REWRITE DEFAULT-CDR))
(11690 11690 (:REWRITE DEFAULT-CAR))
(9952 9952 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
(9952 9952 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
(7472 7472 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
(6377 109 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
(4898 4898 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
(4898 4898 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
(3900 3900 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
(2453 109 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
(1755 1755 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
(195 195 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
(195 195 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP-TRANSITIVE))
(164 164 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SHORTEN-LONG-ASSIGNMENT))
(109 109 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
(109 109 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
(36 36 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
(14 14 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-TRUE))
)
(PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SHORTEN-LONG-ASSIGNMENT
(380 2 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
(227 4 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
(211 37 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
(196 34 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
(126 35 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
(121 8 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SHORTEN-LONG-ASSIGNMENT))
(88 4 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
(56 8 (:DEFINITION MEMBER-EQUAL))
(52 52 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
(39 18 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
(32 20 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
(32 18 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
(32 14 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
(26 14 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
(24 24 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
(23 14 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
(16 16 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
(16 16 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
(14 14 (:REWRITE DEFAULT-CDR))
(14 14 (:REWRITE DEFAULT-CAR))
(8 8 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
(8 8 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
(8 8 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
(4 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SHORTEN-LONG-ASSIGNMENT))
(4 4 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
(4 4 (: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::STRONG-ASSIGNMENT-SHORTEN-LONG-ASSIGNMENT
(380 2 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
(227 4 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
(211 37 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
(196 34 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
(126 35 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
(121 8 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SHORTEN-LONG-ASSIGNMENT))
(88 4 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
(56 8 (:DEFINITION MEMBER-EQUAL))
(52 52 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
(39 18 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
(32 20 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
(32 18 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
(32 14 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
(26 14 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
(24 24 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
(23 14 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
(16 16 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
(16 16 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
(14 14 (:REWRITE DEFAULT-CDR))
(14 14 (:REWRITE DEFAULT-CAR))
(9 2 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-LIST-TRUEP-EVALUATE-FORMULA-SHORTEN-LONG-ASSIGNMENT))
(8 8 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
(8 8 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
(8 8 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
(4 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SHORTEN-LONG-ASSIGNMENT))
(4 4 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
(4 4 (: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::EXTEND-SHORT-ASSIGNMENT)
(PROOF-CHECKER-ARRAY::LITERAL-LISTP-EXTEND-SHORT-ASSIGNMENT
(1163 35 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
(1001 10 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-APPEND))
(847 10 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-SET-DIFFERENCE-VARIABLES))
(637 9 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-APPEND))
(323 35 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
(321 321 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
(311 311 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
(266 258 (:REWRITE DEFAULT-CAR))
(262 254 (:REWRITE DEFAULT-CDR))
(134 10 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-REMOVE-CONFLICTING-LITERALS2))
(130 10 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-REMOVE-CONFLICTING-LITERALS3))
(92 92 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
(91 1 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONS))
(66 22 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
(35 35 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
(19 19 (:TYPE-PRESCRIPTION BINARY-APPEND))
(13 1 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-REMOVE-CONFLICTING-LITERALS))
(7 1 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-NOT-EQUAL-NEGATE))
)
(PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP-EXTEND-SHORT-ASSIGNMENT
(182 170 (:REWRITE DEFAULT-CDR))
(163 155 (:REWRITE DEFAULT-CAR))
(123 123 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
(122 122 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
(56 56 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
(42 14 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
(20 20 (:TYPE-PRESCRIPTION BINARY-APPEND))
(6 1 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-REMOVE-CONFLICTING-LITERALS3))
(6 1 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONS))
(4 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
(2 2 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
(2 2 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
(2 2 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
(1 1 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-REMOVE-CONFLICTING-LITERALS2))
)
(PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP-EXTEND-SHORT-ASSIGNMENT
(155 143 (:REWRITE DEFAULT-CDR))
(141 133 (:REWRITE DEFAULT-CAR))
(101 101 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
(100 100 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
(70 70 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
(24 8 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
(20 20 (:TYPE-PRESCRIPTION BINARY-APPEND))
(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 1 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-REMOVE-CONFLICTING-LITERALS3))
(6 1 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONS))
(5 1 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-NEGATE))
(4 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
(3 3 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
(3 3 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
(2 2 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
(1 1 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-REMOVE-CONFLICTING-LITERALS2))
)
(PROOF-CHECKER-ARRAY::ASSIGNMENTP-EXTEND-SHORT-ASSIGNMENT)
(PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-EXTEND-SHORT-ASSIGNMENT
(5420 253 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-REMOVE-CONFLICTING-LITERALS2))
(4577 4577 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
(4361 4361 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
(4141 86 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
(3117 3061 (:REWRITE DEFAULT-CAR))
(2815 2782 (:REWRITE DEFAULT-CDR))
(2143 2133 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
(780 780 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
(780 780 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
(770 64 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-NOT-MEMBER-IMPLIES-NOT-SUBSET-VARIABLESP))
(174 34 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
(129 5 (:REWRITE PROOF-CHECKER-ARRAY::EQUAL-SET-DIFFERENCE-VARIABLES-CONS))
(116 116 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
(82 82 (:TYPE-PRESCRIPTION BINARY-APPEND))
(72 24 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
)
(PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-EXTEND-SHORT-ASSIGNMENT2
(357 10 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
(356 10 (:REWRITE PROOF-CHECKER-ARRAY::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
(84 11 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
(75 75 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
(64 64 (:REWRITE DEFAULT-CAR))
(61 61 (:REWRITE DEFAULT-CDR))
(56 56 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
(54 54 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
(20 20 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
(18 1 (:DEFINITION PROOF-CHECKER-ARRAY::REMOVE-CONFLICTING-LITERALS))
(9 9 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-NOT-MEMBER-IMPLIES-NOT-SUBSET-VARIABLESP))
(9 3 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
(5 1 (:DEFINITION BINARY-APPEND))
(3 3 (:TYPE-PRESCRIPTION TRUE-LISTP))
(3 3 (:TYPE-PRESCRIPTION BINARY-APPEND))
(2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::REMOVE-CONFLICTING-LITERALS))
)
(PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-LITERAL-EXTEND-LONG-ASSIGNMENT
(87 3 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
(85 5 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-REMOVE-CONFLICTING-LITERALS2))
(83 83 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
(78 78 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
(60 60 (:REWRITE DEFAULT-CDR))
(57 57 (:REWRITE DEFAULT-CAR))
(54 3 (:DEFINITION PROOF-CHECKER-ARRAY::REMOVE-CONFLICTING-LITERALS))
(46 46 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
(37 5 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-REMOVE-CONFLICTING-LITERALS))
(36 5 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-REMOVE-CONFLICTING-LITERALS3))
(16 16 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::REMOVE-CONFLICTING-LITERALS))
(15 3 (:DEFINITION BINARY-APPEND))
(12 12 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
(10 6 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
(10 6 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
(10 2 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-NEGATE))
(8 8 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
(8 8 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
(6 6 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
(6 6 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
(6 2 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
(6 1 (:REWRITE PROOF-CHECKER-ARRAY::NEGATE-NEGATE))
(4 4 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
(4 2 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
(4 2 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
)
(PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-EXTEND-SHORT-ASSIGNMENT
(43226 364 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
(42884 1092 (:REWRITE PROOF-CHECKER-ARRAY::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
(41154 1220 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
(36397 96 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
(36109 96 (:DEFINITION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
(28836 96 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-CDR))
(22036 96 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
(9738 8178 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
(9296 9296 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
(8938 8938 (:REWRITE DEFAULT-CAR))
(8874 8874 (:REWRITE DEFAULT-CDR))
(8277 8277 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
(4236 4236 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
(3399 99 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-REMOVE-CONFLICTING-LITERALS2))
(2319 2319 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
(1092 1092 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
(1051 99 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-REMOVE-CONFLICTING-LITERALS))
(936 52 (:DEFINITION PROOF-CHECKER-ARRAY::REMOVE-CONFLICTING-LITERALS))
(723 99 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-REMOVE-CONFLICTING-LITERALS3))
(354 354 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
(300 50 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-NOT-EQUAL-NEGATE))
(260 52 (:DEFINITION BINARY-APPEND))
(220 220 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
(220 220 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
(215 43 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-NEGATE))
(177 177 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
(168 28 (:REWRITE PROOF-CHECKER-ARRAY::NEGATE-NEGATE))
(96 96 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
(96 96 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP-TRANSITIVE))
(85 85 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
(54 54 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
)
(PROOF-CHECKER-ARRAY::SUBSETP-LIST-TRUEP-EVALUATE-FORMULA-EXTEND-SHORT-ASSIGNMENT
(63180 1755 (:REWRITE PROOF-CHECKER-ARRAY::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
(63180 585 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
(57915 1755 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
(57915 195 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
(57330 195 (:DEFINITION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
(53547 78 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSETP))
(53352 195 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-CDR))
(34263 4976 (:DEFINITION MEMBER-EQUAL))
(28860 195 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
(14040 14040 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
(11711 11711 (:REWRITE DEFAULT-CDR))
(11690 11690 (:REWRITE DEFAULT-CAR))
(9952 9952 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
(9952 9952 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
(7472 7472 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
(6377 109 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
(4898 4898 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
(4898 4898 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
(3900 3900 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
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(1755 1755 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
(195 195 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
(195 195 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP-TRANSITIVE))
(164 164 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::EXTEND-SHORT-ASSIGNMENT))
(109 109 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
(109 109 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
(36 36 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
(14 14 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-TRUE))
)
(PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-EXTEND-SHORT-ASSIGNMENT
(380 2 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
(227 4 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
(211 37 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
(196 34 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
(126 35 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
(121 8 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-EXTEND-SHORT-ASSIGNMENT))
(88 4 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
(56 8 (:DEFINITION MEMBER-EQUAL))
(52 52 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
(39 18 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
(32 20 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
(32 18 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
(32 14 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
(26 14 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
(24 24 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
(23 14 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
(16 16 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
(16 16 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
(14 14 (:REWRITE DEFAULT-CDR))
(14 14 (:REWRITE DEFAULT-CAR))
(8 8 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
(8 8 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
(8 8 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
(4 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::EXTEND-SHORT-ASSIGNMENT))
(4 4 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
(4 4 (: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::STRONG-ASSIGNMENT-EXTEND-SHORT-ASSIGNMENT
(380 2 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
(227 4 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
(211 37 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
(196 34 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
(126 35 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
(121 8 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-EXTEND-SHORT-ASSIGNMENT))
(96 1 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
(88 4 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
(81 1 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSEP))
(77 11 (:DEFINITION MEMBER-EQUAL))
(52 52 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
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(32 20 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
(32 18 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
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(22 22 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
(21 21 (:REWRITE DEFAULT-CAR))
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(4 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::EXTEND-SHORT-ASSIGNMENT))
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(4 4 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
(4 1 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
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)
(PROOF-CHECKER-ARRAY::EXISTS-STRONG-SATISFYING-ASSIGNMENT)
(PROOF-CHECKER-ARRAY::EXISTS-STRONG-SATISFYING-ASSIGNMENT-SUFF)
(PROOF-CHECKER-ARRAY::SATISFYING-ASSIGNMENT-IMPLIES-EXISTS-STRONG-SATISFYING-ASSIGNMENT
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(416 77 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
(322 14 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
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(210 28 (:DEFINITION MEMBER-EQUAL))
(158 158 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
(94 40 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
(82 40 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
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(64 28 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
(56 56 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
(56 56 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
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(51 31 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
(46 46 (:REWRITE DEFAULT-CDR))
(46 46 (:REWRITE DEFAULT-CAR))
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(28 28 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
(28 28 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
(24 24 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SHORTEN-LONG-ASSIGNMENT))
(19 19 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
(17 2 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-LIST-TRUEP-EVALUATE-FORMULA-EXTEND-SHORT-ASSIGNMENT))
(14 14 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
(14 14 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
(8 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::EXTEND-SHORT-ASSIGNMENT))
(8 1 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-LIST-TRUEP-EVALUATE-FORMULA-SHORTEN-LONG-ASSIGNMENT))
(4 4 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
(1 1 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP-TRANSITIVE))
)
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