File: assignment-equiv%40useless-runes.lsp

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acl2 8.6%2Bdfsg-2
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file content (6403 lines) | stat: -rw-r--r-- 414,071 bytes
parent folder | download | duplicates (3)
(PROOF-CHECKER-ARRAY::PROJECT1
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(PROOF-CHECKER-ARRAY::PROJECT
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(PROOF-CHECKER-ARRAY::FIELD-MEMBERP-IMPLIES-MEMBER-PROJECT1
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(PROOF-CHECKER-ARRAY::MEMBER-PROJECT1-IMPLIES-FIELD-MEMBERP
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(PROOF-CHECKER-ARRAY::IFF-FIELD-MEMBERP-MEMBER-PROJECT1
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(PROOF-CHECKER-ARRAY::IFF-FIELD-MEMBERP-MEMBER-PROJECT
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(PROOF-CHECKER-ARRAY::LITERAL-LISTP-PROJECT1
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(PROOF-CHECKER-ARRAY::LITERAL-LISTP-PROJECT
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(PROOF-CHECKER-ARRAY::STACK-UNIQUEP-IMPLIES-NOT-FIELD-MEMBERP
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(PROOF-CHECKER-ARRAY::STACK-UNIQUEP-IMPLIES-NOT-MEMBER-PROJECT1
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(PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP-PROJECT1
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(PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP-PROJECT
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(PROOF-CHECKER-ARRAY::STACK-NOT-CONFLICTINGP-IMPLIES-NOT-FIELD-MEMBERP-NEGATE
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(PROOF-CHECKER-ARRAY::STACK-NOT-CONFLICTINGP-IMPLIES-NOT-MEMBER-NEGATE-PROJECT1
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(PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP-PROJECT1
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(PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP-PROJECT
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 (30 2 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-SB60P-NEGATE))
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 (25 2 (:DEFINITION MEMBER-EQUAL))
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 (23 5 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
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 (2 2 (:REWRITE DEFAULT-<-2))
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(PROOF-CHECKER-ARRAY::ASSIGNMENTP-PROJECT1
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 (230 33 (:DEFINITION SIGNED-BYTE-P))
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 (153 17 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-SQUEEZE-EQUAL-+-2))
 (134 134 (:REWRITE DEFAULT-+-1))
 (119 17 (:REWRITE DEFAULT-*-2))
 (112 84 (:REWRITE DEFAULT-<-2))
 (104 26 (:REWRITE PROOF-CHECKER-ARRAY::LOOKUP-CORRESPONDS-WITH-STACKP-1+))
 (101 2 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (70 5 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--SQUEEZE))
 (67 4 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-IMPLIES-MEMBER-PROJECT1))
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 (63 2 (:REWRITE PROOF-CHECKER-ARRAY::IFF-FIELD-MEMBERP-MEMBER-PROJECT1))
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 (48 16 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (48 4 (:DEFINITION MEMBER-EQUAL))
 (17 17 (:REWRITE DEFAULT-*-1))
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 (9 3 (:REWRITE FOLD-CONSTS-IN-+))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (8 1 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-FREAD-*STACK*))
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(PROOF-CHECKER-ARRAY::ASSIGNMENTP-PROJECT
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 (30 5 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (19 19 (:REWRITE DEFAULT-+-1))
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 (17 1 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--SQUEEZE))
 (16 4 (:REWRITE PROOF-CHECKER-ARRAY::LOOKUP-CORRESPONDS-WITH-STACKP-1+))
 (15 5 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-FREAD))
 (14 2 (:REWRITE DEFAULT-*-2))
 (12 2 (:DEFINITION SIGNED-BYTE-P))
 (10 4 (:REWRITE PROOF-CHECKER-ARRAY::LOOKUP-CORRESPONDS-WITH-STACKP-+-2))
 (10 2 (:DEFINITION INTEGER-RANGE-P))
 (9 3 (:REWRITE DEFAULT-<-1))
 (6 1 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--NOT-0))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-0))
 (4 1 (:REWRITE FOLD-CONSTS-IN-+))
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(PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT
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 (184 40 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (182 46 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--SQUEEZE))
 (164 164 (:REWRITE DEFAULT-+-1))
 (144 24 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (138 46 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--NOT-0))
 (93 1 (:REWRITE PROOF-CHECKER-ARRAY::NOT-FIELD-MEMBERP-*STACK*-IMPLIES-NOT-EQUAL-FREAD-*LOOKUP*-1))
 (79 31 (:REWRITE DEFAULT-<-1))
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 (72 72 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (72 24 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-FREAD))
 (72 8 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-SQUEEZE-EQUAL-+-2))
 (56 8 (:REWRITE DEFAULT-*-2))
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 (8 8 (:REWRITE DEFAULT-*-1))
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(PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-LOOKUP-1
 (10 1 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-PROJECT1-IMPLIES-FIELD-MEMBERP))
 (8 1 (:DEFINITION SIGNED-BYTE-P))
 (7 1 (:DEFINITION INTEGER-RANGE-P))
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 (2 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 1 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
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(PROOF-CHECKER-ARRAY::MEMBER-PROJECT-IMPLIES-ASSIGNEDP
 (102 3 (:DEFINITION PROOF-CHECKER-ARRAY::PROJECT1))
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 (51 3 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--SQUEEZE))
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 (9 3 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-FREAD))
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 (9 1 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-SQUEEZE-EQUAL-+-2))
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(PROOF-CHECKER-ARRAY::IFF-ASSIGNEDP-MEMBER-PROJECT
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(PROOF-CHECKER-ARRAY::ASSIGN-LIT-CONS-PROJECT1
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 (320 20 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--SQUEEZE))
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 (286 40 (:DEFINITION SIGNED-BYTE-P))
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(PROOF-CHECKER-ARRAY::ASSIGN-LIT-CONS-PROJECT
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(PROOF-CHECKER-ARRAY::UNASSIGN-ONE-CDR-PROJECT1
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 (438 10 (:REWRITE PROOF-CHECKER-ARRAY::IFF-FIELD-MEMBERP-MEMBER-PROJECT1))
 (379 59 (:DEFINITION INTEGER-RANGE-P))
 (346 140 (:REWRITE DEFAULT-<-1))
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 (153 17 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-SQUEEZE-EQUAL-+-2))
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 (132 11 (:DEFINITION MEMBER-EQUAL))
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 (119 17 (:REWRITE DEFAULT-*-2))
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(PROOF-CHECKER-ARRAY::UNASSIGN-ONE-CDR-PROJECT
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(PROOF-CHECKER-ARRAY::FREAD-*STACK-END*-UNASSIGN-ALL
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 (78 26 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-FREAD))
 (70 10 (:REWRITE DEFAULT-*-2))
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(PROOF-CHECKER-ARRAY::FREAD-*STACK-END*-UNASSIGN-ALL-*STACK-END*
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 (24 6 (:REWRITE PROOF-CHECKER-ARRAY::LOOKUP-CORRESPONDS-WITH-STACKP-1+))
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 (18 3 (:DEFINITION SIGNED-BYTE-P))
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 )
(PROOF-CHECKER-ARRAY::PROJECT-UNASSIGN-ALL
 (67 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNASSIGN-ALL))
 (64 14 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (55 22 (:REWRITE DEFAULT-+-2))
 (48 8 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (27 3 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-SQUEEZE-EQUAL-+-2))
 (24 8 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-FREAD))
 (24 6 (:REWRITE PROOF-CHECKER-ARRAY::LOOKUP-CORRESPONDS-WITH-STACKP-1+))
 (22 22 (:REWRITE DEFAULT-+-1))
 (21 3 (:REWRITE DEFAULT-*-2))
 (18 3 (:DEFINITION SIGNED-BYTE-P))
 (17 5 (:REWRITE DEFAULT-<-1))
 (15 6 (:REWRITE PROOF-CHECKER-ARRAY::LOOKUP-CORRESPONDS-WITH-STACKP-+-2))
 (15 3 (:DEFINITION INTEGER-RANGE-P))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-0))
 (5 5 (:REWRITE DEFAULT-<-2))
 (3 3 (:REWRITE DEFAULT-*-1))
 (3 1 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--SQUEEZE))
 (3 1 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--NOT-0))
 )
(PROOF-CHECKER-ARRAY::ASSIGNMENT-STP-EVENP-LEN
 (4404 52 (:REWRITE ACL2-NUMBERP-X))
 (3776 78 (:DEFINITION SIGNED-BYTE-P))
 (3708 78 (:DEFINITION INTEGER-RANGE-P))
 (1942 52 (:REWRITE RATIONALP-X))
 (1942 52 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (1152 110 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (1128 4 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-SQUEEZE-EQUAL-+-2))
 (640 110 (:REWRITE DEFAULT-LESS-THAN-1))
 (636 106 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (636 106 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (606 23 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (606 23 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (598 23 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (572 16 (:REWRITE DEFAULT-TIMES-2))
 (408 28 (:REWRITE DEFAULT-PLUS-2))
 (404 4 (:REWRITE |(* y (* x z))|))
 (187 187 (:REWRITE REDUCE-INTEGERP-+))
 (187 187 (:REWRITE INTEGERP-MINUS-X))
 (187 187 (:META META-INTEGERP-CORRECT))
 (184 4 (:REWRITE |(* a (/ a) b)|))
 (110 110 (:REWRITE THE-FLOOR-BELOW))
 (110 110 (:REWRITE THE-FLOOR-ABOVE))
 (110 110 (:REWRITE DEFAULT-LESS-THAN-2))
 (106 106 (:REWRITE SIMPLIFY-SUMS-<))
 (106 106 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (106 106 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (106 106 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (106 106 (:REWRITE INTEGERP-<-CONSTANT))
 (106 106 (:REWRITE CONSTANT-<-INTEGERP))
 (106 106 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (106 106 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (106 106 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (106 106 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (106 106 (:REWRITE |(< c (- x))|))
 (106 106 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (106 106 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (106 106 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (106 106 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (106 106 (:REWRITE |(< (/ x) (/ y))|))
 (106 106 (:REWRITE |(< (- x) c)|))
 (106 106 (:REWRITE |(< (- x) (- y))|))
 (52 52 (:REWRITE REDUCE-RATIONALP-+))
 (52 52 (:REWRITE REDUCE-RATIONALP-*))
 (52 52 (:REWRITE RATIONALP-MINUS-X))
 (52 52 (:META META-RATIONALP-CORRECT))
 (32 28 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (32 8 (:REWRITE PROOF-CHECKER-ARRAY::LOOKUP-CORRESPONDS-WITH-STACKP-1+))
 (28 28 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (28 28 (:REWRITE NORMALIZE-ADDENDS))
 (28 28 (:REWRITE DEFAULT-PLUS-1))
 (23 23 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (23 23 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (23 23 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (23 23 (:REWRITE |(equal c (/ x))|))
 (23 23 (:REWRITE |(equal c (- x))|))
 (23 23 (:REWRITE |(equal (/ x) c)|))
 (23 23 (:REWRITE |(equal (/ x) (/ y))|))
 (23 23 (:REWRITE |(equal (- x) c)|))
 (23 23 (:REWRITE |(equal (- x) (- y))|))
 (20 8 (:REWRITE PROOF-CHECKER-ARRAY::LOOKUP-CORRESPONDS-WITH-STACKP-+-2))
 (16 16 (:REWRITE DEFAULT-TIMES-1))
 (8 8 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (7 7 (:REWRITE |(equal (+ (- c) x) y)|))
 (4 4 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (4 4 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (4 4 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (4 4 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (4 4 (:TYPE-PRESCRIPTION ABS))
 (4 4 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (4 4 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (4 4 (:REWRITE |(< (/ x) 0)|))
 (4 4 (:REWRITE |(< (* x y) 0)|))
 )
(PROOF-CHECKER-ARRAY::LIT-IN-RANGE-NEGATE
 (41 9 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (36 14 (:REWRITE DEFAULT-+-2))
 (30 5 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (18 2 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-SQUEEZE-EQUAL-+-2))
 (17 8 (:REWRITE DEFAULT-<-1))
 (16 4 (:REWRITE PROOF-CHECKER-ARRAY::LOOKUP-CORRESPONDS-WITH-STACKP-1+))
 (15 5 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-FREAD))
 (14 14 (:REWRITE DEFAULT-+-1))
 (14 2 (:REWRITE DEFAULT-*-2))
 (12 2 (:DEFINITION SIGNED-BYTE-P))
 (10 4 (:REWRITE PROOF-CHECKER-ARRAY::LOOKUP-CORRESPONDS-WITH-STACKP-+-2))
 (10 2 (:DEFINITION INTEGER-RANGE-P))
 (8 8 (:REWRITE DEFAULT-<-2))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-0))
 (2 2 (:REWRITE DEFAULT-*-1))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::EVALUATE-LITERAL-ST
 (57 3 (:DEFINITION MEMBER-EQUAL))
 (48 8 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (33 2 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (13 13 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::PROJECT))
 (9 6 (:REWRITE DEFAULT-CDR))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (3 3 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::EVALUATE-LITERAL-EQUIV
 (286 12 (:DEFINITION MEMBER-EQUAL))
 (234 8 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (230 32 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (52 52 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::PROJECT))
 (36 24 (:REWRITE DEFAULT-CDR))
 (32 32 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (32 32 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (32 32 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (15 15 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (15 15 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (15 15 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (12 12 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (12 12 (:REWRITE DEFAULT-CAR))
 (8 8 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNEDP))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 )
(PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP
 (3 1 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (1 1 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP)
(PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE-ST
 (289 48 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (216 4 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (167 2 (:REWRITE PROOF-CHECKER-ARRAY::IFF-ASSIGNEDP-MEMBER-PROJECT))
 (50 44 (:REWRITE DEFAULT-CDR))
 (50 12 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (48 48 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (48 48 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (48 48 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (42 3 (:REWRITE PROOF-CHECKER-ARRAY::LIT-IN-RANGE-NEGATE))
 (39 39 (:REWRITE DEFAULT-CAR))
 (39 3 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-NEGATE))
 (32 32 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (26 26 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::PROJECT))
 (18 18 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (18 18 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (18 18 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (18 18 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (18 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (14 14 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (4 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNEDP))
 (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::MEMBER-AND-MEMBER-NEGATE-IMPLIES-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))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 )
(PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE-EQUIV
 (38925 144 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (38781 124 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (31985 3999 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (24350 1675 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (16589 383 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (5311 375 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (4644 21 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (3999 3999 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (3985 3985 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (3985 3985 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (3862 2986 (:REWRITE DEFAULT-CDR))
 (2224 2224 (:REWRITE DEFAULT-CAR))
 (1750 1750 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (1675 1675 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (1675 1675 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (1669 1669 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (800 2 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL-ST))
 (730 730 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (704 383 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (589 589 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (556 556 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (556 556 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (556 556 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (542 4 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-ASSIGNEDP))
 (533 533 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (383 383 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (383 383 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (383 383 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (383 383 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (376 376 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (254 4 (:REWRITE PROOF-CHECKER-ARRAY::IFF-FIELD-MEMBERP-MEMBER-PROJECT))
 (229 229 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (210 64 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (195 65 (:DEFINITION REVAPPEND))
 (140 140 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (133 133 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (128 16 (:DEFINITION SIGNED-BYTE-P))
 (124 2 (:DEFINITION PROOF-CHECKER-ARRAY::FIELD-MEMBERP))
 (116 8 (:REWRITE DEFAULT-+-2))
 (112 16 (:DEFINITION INTEGER-RANGE-P))
 (110 34 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (90 12 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (74 4 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-PROJECT-IMPLIES-ASSIGNEDP))
 (74 4 (:REWRITE PROOF-CHECKER-ARRAY::EQUAL-ASSIGNEDP-FIELD-MEMBERP-*STACK*))
 (71 71 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (71 71 (:TYPE-PRESCRIPTION REVAPPEND))
 (42 2 (:REWRITE FOLD-CONSTS-IN-+))
 (40 4 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-PROJECT1-IMPLIES-FIELD-MEMBERP))
 (40 4 (:REWRITE PROOF-CHECKER-ARRAY::IFF-FIELD-MEMBERP-MEMBER-PROJECT1))
 (34 34 (:TYPE-PRESCRIPTION SIGNED-BYTE-P))
 (34 34 (:REWRITE DEFAULT-<-2))
 (34 34 (:REWRITE DEFAULT-<-1))
 (32 2 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-FIELD-MEMBERP-*STACK*))
 (28 2 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-SB60P-NEGATE))
 (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::SB60P-FREAD))
 (18 6 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (18 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (17 17 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-NOT-EQUAL-NEGATE))
 (12 12 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FIELD-OFFSETP))
 (12 12 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FIELD-MEMBERP))
 (12 12 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FARRAYP))
 (8 8 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FIELDP))
 (8 8 (:REWRITE DEFAULT-+-1))
 (6 2 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--SQUEEZE))
 (6 2 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--NOT-0))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-0))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::EQUAL-FREAD-LOOKUP-1-IMPLIES-FIELD-MEMBERP-*STACK*))
 )
(PROOF-CHECKER-ARRAY::EVALUATE-FORMULA-ST
 (1648 24 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (1637 13 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (1617 11 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (1573 5 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (1568 3 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (1339 2 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (1054 120 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (1020 48 (:DEFINITION MEMBER-EQUAL))
 (642 4 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (497 8 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (478 10 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (288 288 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (198 198 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::PROJECT))
 (198 22 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (188 122 (:REWRITE DEFAULT-CDR))
 (177 1 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (162 1 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSEP))
 (120 120 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (120 120 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (120 120 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (81 1 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (76 76 (:REWRITE DEFAULT-CAR))
 (66 11 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-NEGATE))
 (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))
 (60 60 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (52 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (48 48 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (48 48 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (45 45 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (34 34 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (34 34 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (34 34 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (30 14 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (27 10 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (27 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (23 23 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (21 21 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (18 18 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (16 8 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (16 4 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (14 1 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (11 11 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (11 11 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (9 3 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (4 4 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (4 4 (:TYPE-PRESCRIPTION REVAPPEND))
 (3 1 (:DEFINITION REVAPPEND))
 (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-CLAUSE))
 (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))
 (1 1 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::EVALUATE-FORMULA-EQUIV
 (35885 223 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (35515 157 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (35408 61 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (30735 40 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (22169 2786 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (11539 226 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (7118 446 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (4014 4014 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::PROJECT))
 (3749 2411 (:REWRITE DEFAULT-CDR))
 (2786 2786 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (2786 2786 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (2786 2786 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (2618 231 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-NEGATE))
 (1589 1589 (:REWRITE DEFAULT-CAR))
 (1225 1225 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (1225 1225 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (1225 1225 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (1225 1225 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (1108 1108 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (1012 2 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE-ST))
 (980 980 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (970 970 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (896 2 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL-ST))
 (782 4 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-ASSIGNEDP))
 (773 773 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (773 773 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (773 773 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (578 132 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (512 32 (:REWRITE PROOF-CHECKER-ARRAY::LIT-IN-RANGE-NEGATE))
 (490 490 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (464 28 (:DEFINITION SIGNED-BYTE-P))
 (436 28 (:DEFINITION INTEGER-RANGE-P))
 (380 380 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (368 4 (:DEFINITION PROOF-CHECKER-ARRAY::FIELD-MEMBERP))
 (232 232 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (226 226 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (226 226 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (226 226 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (226 226 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (226 226 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (226 226 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (223 223 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (210 210 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LIT-IN-RANGEP))
 (198 66 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (192 8 (:REWRITE PROOF-CHECKER-ARRAY::IFF-FIELD-MEMBERP-MEMBER-PROJECT1))
 (180 8 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-PROJECT1-IMPLIES-FIELD-MEMBERP))
 (156 12 (:REWRITE DEFAULT-+-2))
 (140 42 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (140 20 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-IMPLIES-<-NEGATE))
 (132 24 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (120 16 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (102 4 (:REWRITE PROOF-CHECKER-ARRAY::IFF-FIELD-MEMBERP-MEMBER-PROJECT))
 (93 31 (:DEFINITION REVAPPEND))
 (84 84 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (84 84 (:TYPE-PRESCRIPTION REVAPPEND))
 (84 4 (:REWRITE FOLD-CONSTS-IN-+))
 (80 60 (:REWRITE DEFAULT-<-1))
 (72 14 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (60 60 (:REWRITE DEFAULT-<-2))
 (46 46 (:TYPE-PRESCRIPTION SIGNED-BYTE-P))
 (40 40 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (36 4 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-PROJECT-IMPLIES-ASSIGNEDP))
 (36 4 (:REWRITE PROOF-CHECKER-ARRAY::IFF-ASSIGNEDP-MEMBER-PROJECT))
 (36 4 (:REWRITE PROOF-CHECKER-ARRAY::EQUAL-ASSIGNEDP-FIELD-MEMBERP-*STACK*))
 (36 4 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-FIELD-MEMBERP-*STACK*))
 (35 35 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
 (34 10 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-SB60P-NEGATE))
 (24 24 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FIELD-OFFSETP))
 (24 8 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-FREAD))
 (24 8 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (20 20 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FIELD-MEMBERP))
 (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))
 (20 20 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (16 16 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FIELDP))
 (16 16 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FARRAYP))
 (14 2 (:REWRITE PROOF-CHECKER-ARRAY::EVALUATE-LITERAL-EQUIV))
 (12 12 (:REWRITE DEFAULT-+-1))
 (12 4 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--SQUEEZE))
 (12 4 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--NOT-0))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (8 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (6 2 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-CDR))
 (4 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNEDP))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-0))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::EQUAL-FREAD-LOOKUP-1-IMPLIES-FIELD-MEMBERP-*STACK*))
 )
(PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-ST
 (5 5 (:REWRITE DEFAULT-CAR))
 (3 3 (:REWRITE DEFAULT-CDR))
 (3 1 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-EQUIV
 (30922 109 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (28928 3713 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (28668 169 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (26579 1541 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (5898 409 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (4861 483 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (3758 15 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (3713 3713 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (3679 3679 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (3679 3679 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (3548 8 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL-ST))
 (3278 2651 (:REWRITE DEFAULT-CDR))
 (2624 16 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-ASSIGNEDP))
 (2132 2132 (:REWRITE DEFAULT-CAR))
 (1618 2 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE-ST))
 (1541 1541 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (1541 1541 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (1533 1533 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (1028 76 (:DEFINITION SIGNED-BYTE-P))
 (952 76 (:DEFINITION INTEGER-RANGE-P))
 (900 16 (:REWRITE PROOF-CHECKER-ARRAY::IFF-FIELD-MEMBERP-MEMBER-PROJECT))
 (848 10 (:DEFINITION PROOF-CHECKER-ARRAY::FIELD-MEMBERP))
 (785 409 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (694 694 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (694 694 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (694 694 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (528 528 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (509 509 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (504 36 (:REWRITE DEFAULT-+-2))
 (470 144 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (420 20 (:REWRITE PROOF-CHECKER-ARRAY::IFF-FIELD-MEMBERP-MEMBER-PROJECT1))
 (409 409 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (409 409 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (409 409 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (409 409 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (402 402 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (390 52 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (372 20 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-PROJECT1-IMPLIES-FIELD-MEMBERP))
 (320 20 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-IMPLIES-<-NEGATE))
 (268 82 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (258 16 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-PROJECT-IMPLIES-ASSIGNEDP))
 (258 16 (:REWRITE PROOF-CHECKER-ARRAY::EQUAL-ASSIGNEDP-FIELD-MEMBERP-*STACK*))
 (240 240 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (210 10 (:REWRITE FOLD-CONSTS-IN-+))
 (207 69 (:DEFINITION REVAPPEND))
 (182 162 (:REWRITE DEFAULT-<-1))
 (168 168 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (162 162 (:REWRITE DEFAULT-<-2))
 (154 16 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-SB60P-NEGATE))
 (148 148 (:TYPE-PRESCRIPTION SIGNED-BYTE-P))
 (132 10 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-FIELD-MEMBERP-*STACK*))
 (109 109 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (78 26 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-FREAD))
 (78 26 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (67 19 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-NOT-EQUAL-NEGATE))
 (60 60 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FIELD-OFFSETP))
 (56 56 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FIELD-MEMBERP))
 (54 18 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (52 52 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FARRAYP))
 (40 40 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FIELDP))
 (36 36 (:REWRITE DEFAULT-+-1))
 (32 32 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (32 32 (:TYPE-PRESCRIPTION REVAPPEND))
 (30 10 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--SQUEEZE))
 (30 10 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--NOT-0))
 (18 18 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (15 15 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (15 15 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-0))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::EQUAL-FREAD-LOOKUP-1-IMPLIES-FIELD-MEMBERP-*STACK*))
 )
(PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE-ST
 (742 1 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (588 4 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (431 50 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (418 20 (:DEFINITION MEMBER-EQUAL))
 (235 1 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (177 1 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (162 1 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSEP))
 (120 120 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (83 59 (:REWRITE DEFAULT-CDR))
 (82 12 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (81 1 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (72 72 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::PROJECT))
 (72 8 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (70 9 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (52 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (50 50 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (50 50 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (50 50 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (40 40 (:REWRITE DEFAULT-CAR))
 (27 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (25 25 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (25 25 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (25 25 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (25 25 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (25 9 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (25 7 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (24 4 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-NEGATE))
 (20 20 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (20 20 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (20 6 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (18 18 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (17 17 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (17 17 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (16 4 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (14 1 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (13 13 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (13 13 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (13 13 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (11 6 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (10 5 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (9 9 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (9 3 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (7 4 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (3 1 (:DEFINITION REVAPPEND))
 (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::NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (1 1 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE-EQUIV
 (4272 564 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (3976 2 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-ST))
 (3584 8 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL-ST))
 (3128 16 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-ASSIGNEDP))
 (2295 9 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (1856 112 (:DEFINITION SIGNED-BYTE-P))
 (1744 112 (:DEFINITION INTEGER-RANGE-P))
 (1472 16 (:DEFINITION PROOF-CHECKER-ARRAY::FIELD-MEMBERP))
 (1200 72 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (1062 2 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE-ST))
 (768 32 (:REWRITE PROOF-CHECKER-ARRAY::IFF-FIELD-MEMBERP-MEMBER-PROJECT1))
 (764 542 (:REWRITE DEFAULT-CDR))
 (752 122 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (720 32 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-PROJECT1-IMPLIES-FIELD-MEMBERP))
 (704 704 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (648 648 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::PROJECT))
 (638 89 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (624 48 (:REWRITE DEFAULT-+-2))
 (564 564 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
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 (564 564 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
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(PROOF-CHECKER-ARRAY::NUM-UNDEF-ST
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(PROOF-CHECKER-ARRAY::NUM-UNDEF-EQUIV
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 (1980 1980 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::PROJECT))
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(PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER
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 )
(PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER
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(PROOF-CHECKER-ARRAY::LIT-IN-RANGEP-MV-NTH-0-FIND-UNIT-CLAUSE-PROJECT
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(PROOF-CHECKER-ARRAY::LITERALP-MV-NTH-0-FIND-UNIT-CLAUSE-PROJECT
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 (1248 8 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (806 40 (:DEFINITION MEMBER-EQUAL))
 (803 98 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (488 2 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (244 244 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (177 1 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (164 24 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (162 1 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSEP))
 (144 144 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::PROJECT))
 (144 16 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (142 94 (:REWRITE DEFAULT-CDR))
 (140 18 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (117 45 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (98 98 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (98 98 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (98 98 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (81 1 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (60 60 (:REWRITE DEFAULT-CAR))
 (52 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (50 18 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (50 14 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (48 8 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-NEGATE))
 (45 45 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (45 45 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (45 45 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (40 12 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (36 36 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (36 36 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (34 34 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (32 8 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (27 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (25 25 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (25 25 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (25 25 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (22 12 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (20 10 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (18 18 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (18 18 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (17 17 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (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))
 (14 8 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (14 1 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (11 1 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (9 3 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (6 2 (:DEFINITION REVAPPEND))
 (6 1 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (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::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-CLAUSE))
 (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))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (1 1 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (1 1 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LIT-IN-RANGEP))
 (1 1 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::LIT-IN-RANGEP-ASSIGN-LIT
 (237 6 (:REWRITE PROOF-CHECKER-ARRAY::FWRITE-REDUNDANT))
 (91 6 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-LOOKUP-1))
 (84 1 (:REWRITE PROOF-CHECKER-ARRAY::IFF-FIELD-MEMBERP-MEMBER-PROJECT1))
 (40 4 (:REWRITE PROOF-CHECKER-ARRAY::FREAD-FWRITE))
 (38 2 (:DEFINITION MEMBER-EQUAL))
 (37 5 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (27 1 (:DEFINITION PROOF-CHECKER-ARRAY::PROJECT1))
 (26 11 (:REWRITE DEFAULT-+-2))
 (23 5 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (18 3 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (15 15 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (14 2 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (11 11 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::PROJECT1))
 (11 11 (:REWRITE DEFAULT-+-1))
 (10 4 (:REWRITE DEFAULT-<-1))
 (10 1 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--SQUEEZE))
 (9 3 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-FREAD))
 (9 1 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-SQUEEZE-EQUAL-+-2))
 (8 2 (:REWRITE PROOF-CHECKER-ARRAY::LOOKUP-CORRESPONDS-WITH-STACKP-1+))
 (8 2 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-<-1+))
 (7 4 (:REWRITE DEFAULT-CDR))
 (7 1 (:REWRITE DEFAULT-*-2))
 (6 6 (:TYPE-PRESCRIPTION EVENP))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-*LOOKUP*-1))
 (6 1 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--NOT-0))
 (6 1 (:DEFINITION SIGNED-BYTE-P))
 (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 2 (:REWRITE PROOF-CHECKER-ARRAY::LOOKUP-CORRESPONDS-WITH-STACKP-+-2))
 (5 1 (:DEFINITION INTEGER-RANGE-P))
 (4 4 (:REWRITE DEFAULT-<-2))
 (4 1 (:REWRITE FOLD-CONSTS-IN-+))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FIELD-MEMBERP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (2 2 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (2 1 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-IMPLIES-MEMBER-PROJECT1))
 (1 1 (:REWRITE DEFAULT-*-1))
 )
(PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-ASSIGN-LIT
 (386 84 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (220 6 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (84 84 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (84 84 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (84 84 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (75 19 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (68 68 (:REWRITE DEFAULT-CDR))
 (68 68 (:REWRITE DEFAULT-CAR))
 (50 50 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (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))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (18 18 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (18 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (13 13 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (13 13 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (13 13 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (13 13 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-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))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-NOT-EQUAL-NEGATE))
 )
(PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-ASSIGN-LIT
 (581 98 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (185 42 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (152 8 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (122 122 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (112 112 (:REWRITE DEFAULT-CDR))
 (98 98 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (98 98 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (98 98 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (87 87 (:REWRITE DEFAULT-CAR))
 (63 21 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (35 35 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (35 35 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (35 35 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (35 35 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (28 28 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (28 28 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (26 8 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 (25 7 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (24 4 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (11 11 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (11 11 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (11 11 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (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 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 )
(PROOF-CHECKER-ARRAY::NUM-UNDEF-MEASURE
 (130934 2 (:DEFINITION PROOF-CHECKER-ARRAY::NUM-UNDEF))
 (124602 8 (:REWRITE PROOF-CHECKER-ARRAY::IFF-TRUEP-EVALUATE-CLAUSE-CONS))
 (110164 36 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-FIND-UNIT-CLAUSE-SUBSETP))
 (96820 2165 (:DEFINITION MEMBER-EQUAL))
 (96374 8584 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (88673 117 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (85570 68 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (85366 68 (:DEFINITION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (85117 63 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (80794 612 (:REWRITE PROOF-CHECKER-ARRAY::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (80354 204 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (78958 612 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (51817 349 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (45695 367 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (44491 452 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (42562 3783 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (37965 260 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (35595 1032 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (35254 34 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSETP))
 (26356 719 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (23080 68 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (22548 22548 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (17135 681 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (12203 8589 (:REWRITE DEFAULT-CDR))
 (11748 384 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (10360 265 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (9179 1021 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (8584 8584 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (8584 8584 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (8584 8584 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (6230 6230 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::PROJECT))
 (6097 434 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (5319 5309 (:REWRITE DEFAULT-CAR))
 (4896 4896 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (3783 3783 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (3783 3783 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (3783 3783 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (3048 508 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-NEGATE))
 (3045 3045 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (2280 387 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (1893 1893 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (1530 1530 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (1530 1530 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (1530 1530 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (1468 385 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (1375 1371 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (1371 1371 (:TYPE-PRESCRIPTION REVAPPEND))
 (1360 1360 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (1245 432 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (1213 1213 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (1129 1 (:REWRITE PROOF-CHECKER-ARRAY::NOT-UNDEFP-EVALUATE-CLAUSE-CONS))
 (1022 1022 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (944 944 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (612 612 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
 (553 553 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (452 452 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (452 452 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (452 452 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (452 452 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (452 452 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (452 452 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (367 367 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (238 238 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSETP))
 (185 59 (:DEFINITION REVAPPEND))
 (177 1 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (162 1 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSEP))
 (136 68 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-CDR))
 (81 1 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (68 68 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (68 68 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP-TRANSITIVE))
 (63 63 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-TRUE))
 (63 63 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (61 61 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-FALSE))
 (52 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (27 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (20 20 (:REWRITE CDR-CONS))
 (18 18 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (17 17 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-FALSE))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-TRUE))
 (14 1 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (11 1 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP))
 (10 10 (:REWRITE CAR-CONS))
 (9 3 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (6 1 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (4 2 (:REWRITE DEFAULT-+-2))
 (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::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::NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (2 2 (:REWRITE DEFAULT-+-1))
 (1 1 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (1 1 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::SB60P-IS-UNIT-CLAUSE
 (34483 3965 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (31678 1778 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (29953 149 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (27054 294 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (5850 2 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-CDR))
 (5656 1778 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (3963 3963 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (3954 3954 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (3954 3954 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (3664 608 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (3276 3276 (:REWRITE DEFAULT-CDR))
 (2349 2349 (:REWRITE DEFAULT-CAR))
 (1778 1778 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (1778 1778 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (1227 217 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (1086 608 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (615 615 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (608 608 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (608 608 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (608 608 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (608 608 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (606 606 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (590 590 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (576 192 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (393 393 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (308 56 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (297 99 (:DEFINITION REVAPPEND))
 (181 45 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (181 13 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-NOT-EQUAL-NEGATE))
 (149 149 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (64 17 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (56 56 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (56 56 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (54 54 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (50 24 (:REWRITE DEFAULT-<-1))
 (45 45 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (24 24 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (24 24 (:TYPE-PRESCRIPTION REVAPPEND))
 (24 24 (:REWRITE DEFAULT-<-2))
 (24 4 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (6 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::SB60P-MV-NTH-0-FIND-UNIT-CLAUSE
 (6566 973 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (3626 17 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (1394 204 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (1248 420 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (1190 153 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (973 973 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (973 973 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (973 973 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (915 915 (:REWRITE DEFAULT-CDR))
 (601 601 (:REWRITE DEFAULT-CAR))
 (504 420 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (428 96 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (425 153 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (425 119 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (420 420 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (420 420 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (340 102 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (336 336 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (336 336 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (304 16 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (289 289 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (272 68 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (187 102 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (170 85 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (168 168 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (144 48 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (119 119 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (119 119 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (119 119 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (119 119 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (119 119 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (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))
 (119 68 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (85 85 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (68 68 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (52 14 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (51 51 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (51 17 (:DEFINITION REVAPPEND))
 (42 16 (:REWRITE DEFAULT-<-1))
 (34 16 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (24 4 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (20 20 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (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))
 (20 5 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (17 17 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (16 16 (:REWRITE DEFAULT-<-2))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (6 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(PROOF-CHECKER-ARRAY::ASSIGNMENT-STP-ASSIGN-LIT-MV-NTH-0-FIND-UNIT-CLAUSE
 (11266 4 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-FIND-UNIT-CLAUSE-SUBSETP))
 (10683 1035 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (10178 16 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (9872 352 (:DEFINITION MEMBER-EQUAL))
 (8418 59 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (7790 443 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (7670 26 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (6318 5 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (6303 5 (:DEFINITION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (6187 44 (:REWRITE PROOF-CHECKER-ARRAY::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (6156 15 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (6055 44 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (4252 14 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (2990 1 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (2878 175 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (2727 126 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (2688 2688 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (2651 70 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (2316 3 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSETP))
 (1795 5 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (1392 975 (:REWRITE DEFAULT-CDR))
 (1224 136 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (1051 1051 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::PROJECT))
 (1033 1033 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (1030 1030 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1030 1030 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (863 95 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (816 53 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (675 83 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (620 620 (:REWRITE DEFAULT-CAR))
 (443 443 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (443 443 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (442 442 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (408 68 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-NEGATE))
 (357 131 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (352 352 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (337 337 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (290 290 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (269 83 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (235 235 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (209 53 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (204 204 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (204 204 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (204 204 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (146 74 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (145 145 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (136 136 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (98 98 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (97 97 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (95 95 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (95 95 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (95 95 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (95 95 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (95 95 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (95 95 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (59 59 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (59 47 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (44 44 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
 (39 13 (:DEFINITION REVAPPEND))
 (20 2 (:REWRITE DEFAULT-+-2))
 (17 17 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSETP))
 (15 4 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (15 2 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (10 5 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-CDR))
 (8 1 (:DEFINITION SIGNED-BYTE-P))
 (7 1 (:DEFINITION INTEGER-RANGE-P))
 (5 5 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP-TRANSITIVE))
 (4 4 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (4 4 (:TYPE-PRESCRIPTION REVAPPEND))
 (3 1 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-FREAD))
 (3 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FARRAYP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-REFLEXIVE))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE DEFAULT-+-1))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-MV-NTH-0-FIND-UNIT-CLAUSE-MV-NTH-1-FIND-UNIT-CLAUSE))
 )
(PROOF-CHECKER-ARRAY::UNIT-PROPAGATION-ST
 (132750 3 (:DEFINITION PROOF-CHECKER-ARRAY::NUM-UNDEF))
 (124602 8 (:REWRITE PROOF-CHECKER-ARRAY::IFF-TRUEP-EVALUATE-CLAUSE-CONS))
 (110164 36 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-FIND-UNIT-CLAUSE-SUBSETP))
 (97766 2209 (:DEFINITION MEMBER-EQUAL))
 (97353 8694 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (90210 120 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (86424 65 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (85570 68 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (85366 68 (:DEFINITION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (80794 612 (:REWRITE PROOF-CHECKER-ARRAY::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (80354 204 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (78958 612 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (53361 361 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (47180 378 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (44975 465 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (42617 3838 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (37965 260 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (36598 1059 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (35254 34 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSETP))
 (26431 740 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (23080 68 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (22812 22812 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (18134 699 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (12369 8689 (:REWRITE DEFAULT-CDR))
 (11772 397 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (10386 274 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (9245 1043 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (8694 8694 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (8694 8694 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (8694 8694 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (6545 447 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (6428 6428 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::PROJECT))
 (5377 5367 (:REWRITE DEFAULT-CAR))
 (4896 4896 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (3838 3838 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (3838 3838 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (3838 3838 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (3089 3089 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (3048 508 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-NEGATE))
 (2289 390 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (1937 1937 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (1530 1530 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (1530 1530 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (1530 1530 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (1471 388 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (1379 1375 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (1375 1375 (:TYPE-PRESCRIPTION REVAPPEND))
 (1360 1360 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (1287 445 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (1249 1249 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (1129 1 (:REWRITE PROOF-CHECKER-ARRAY::NOT-UNDEFP-EVALUATE-CLAUSE-CONS))
 (1022 1022 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (966 966 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (612 612 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
 (567 567 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (465 465 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (465 465 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (465 465 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (465 465 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (465 465 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (465 465 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (378 378 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (238 238 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSETP))
 (191 61 (:DEFINITION REVAPPEND))
 (177 1 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (162 1 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSEP))
 (136 68 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-CDR))
 (81 1 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (68 68 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (68 68 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP-TRANSITIVE))
 (65 65 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (63 63 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-TRUE))
 (61 61 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-FALSE))
 (52 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (27 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (20 20 (:REWRITE CDR-CONS))
 (18 18 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (17 17 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-FALSE))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-TRUE))
 (14 1 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (11 1 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP))
 (10 10 (:REWRITE CAR-CONS))
 (9 3 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (6 3 (:REWRITE DEFAULT-+-2))
 (6 1 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (4 1 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (4 1 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (3 3 (:REWRITE DEFAULT-+-1))
 (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::NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (1 1 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (1 1 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::ASSIGNMENT-STP-UNIT-PROPAGATION-ST
 (98712 15 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (84868 10 (:REWRITE PROOF-CHECKER-ARRAY::IFF-TRUEP-EVALUATE-CLAUSE-CONS))
 (80976 42 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-FIND-UNIT-CLAUSE-SUBSETP))
 (72529 6757 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (59004 684 (:REWRITE PROOF-CHECKER-ARRAY::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (58492 228 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (56952 684 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (54492 76 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (54349 27 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (54264 76 (:DEFINITION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (37970 38 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSETP))
 (26939 183 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (25038 248 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (24840 76 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (13656 72 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (9499 7223 (:REWRITE DEFAULT-CDR))
 (7623 211 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (7232 62 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (7167 62 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (6757 6757 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (6757 6757 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (6757 6757 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (5771 3147 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (5472 5472 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (4470 4454 (:REWRITE DEFAULT-CAR))
 (4320 480 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (3790 3790 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::PROJECT))
 (3147 3147 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (3147 3147 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (3147 3147 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (2460 2460 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (1686 215 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (1540 1540 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (1520 1520 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (1440 240 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-NEGATE))
 (1314 1314 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (1314 1314 (:TYPE-PRESCRIPTION REVAPPEND))
 (1134 7 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSEP))
 (766 766 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (727 727 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (727 727 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (727 727 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (684 684 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
 (567 7 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (516 156 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (487 487 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (411 411 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (364 7 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (303 156 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (266 266 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSETP))
 (194 113 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (189 42 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (183 183 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (183 183 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (183 183 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (183 183 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (183 183 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (183 183 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (152 76 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-CDR))
 (149 149 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (127 127 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (126 126 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (101 31 (:DEFINITION REVAPPEND))
 (98 7 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (76 76 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (76 76 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP-TRANSITIVE))
 (72 72 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (63 21 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (55 55 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (42 7 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (32 32 (:REWRITE CDR-CONS))
 (27 27 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (16 16 (:REWRITE CAR-CONS))
 (14 14 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (14 14 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (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))
 (10 2 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGN-LIT-CONS-PROJECT))
 (7 7 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (7 7 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::UNIT-PROPAGATION-ST
 (11266 4 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-FIND-UNIT-CLAUSE-SUBSETP))
 (9257 845 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (8350 272 (:DEFINITION MEMBER-EQUAL))
 (7355 368 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (6850 12 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (6318 5 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (6303 5 (:DEFINITION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (6187 44 (:REWRITE PROOF-CHECKER-ARRAY::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (6156 15 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (6055 44 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (5706 43 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (4330 22 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (3222 10 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (2990 1 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (2631 50 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (2550 127 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (2447 90 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (2316 3 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSETP))
 (2188 2188 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1795 5 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (1148 824 (:REWRITE DEFAULT-CDR))
 (936 104 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (843 843 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (840 840 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (840 840 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (788 37 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (766 766 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::PROJECT))
 (763 67 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (631 59 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (519 519 (:REWRITE DEFAULT-CAR))
 (368 368 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (368 368 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (367 367 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (337 337 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (312 52 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-NEGATE))
 (292 292 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (257 95 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (230 230 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (189 59 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (167 167 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (162 1 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSEP))
 (157 157 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (157 157 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (157 157 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (145 37 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (115 115 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (106 54 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (105 105 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (98 98 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (81 1 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (69 69 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (67 67 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (67 67 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (67 67 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (67 67 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (67 67 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (67 67 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (52 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (47 35 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (44 44 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
 (43 43 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (38 2 (:REWRITE DEFAULT-+-2))
 (30 8 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (30 4 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (27 9 (:DEFINITION REVAPPEND))
 (27 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (17 17 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSETP))
 (16 2 (:DEFINITION SIGNED-BYTE-P))
 (14 2 (:DEFINITION INTEGER-RANGE-P))
 (14 1 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (10 5 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-CDR))
 (9 3 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (6 2 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-FREAD))
 (6 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (6 1 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (5 5 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP-TRANSITIVE))
 (4 4 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (4 4 (:TYPE-PRESCRIPTION REVAPPEND))
 (4 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FARRAYP))
 (4 4 (:REWRITE DEFAULT-<-2))
 (4 4 (:REWRITE DEFAULT-<-1))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-REFLEXIVE))
 (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::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (2 2 (:REWRITE DEFAULT-+-1))
 (1 1 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (1 1 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-MV-NTH-0-FIND-UNIT-CLAUSE-MV-NTH-1-FIND-UNIT-CLAUSE))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::UNIT-PROPAGATION-EQUIV
 (282420 27 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (254604 30 (:REWRITE PROOF-CHECKER-ARRAY::IFF-TRUEP-EVALUATE-CLAUSE-CONS))
 (242928 126 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-FIND-UNIT-CLAUSE-SUBSETP))
 (210029 19361 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (177012 2052 (:REWRITE PROOF-CHECKER-ARRAY::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (175476 684 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (170856 2052 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (163476 228 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (162792 228 (:DEFINITION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (158727 63 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (113910 114 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSETP))
 (80367 423 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (74520 228 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (73638 528 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (30024 144 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (27133 20737 (:REWRITE DEFAULT-CDR))
 (22419 471 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (21408 114 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (21375 114 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (19361 19361 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (19361 19361 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (19361 19361 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (16523 9011 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (16416 16416 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (12804 12756 (:REWRITE DEFAULT-CAR))
 (11664 1296 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (9011 9011 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (9011 9011 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (9011 9011 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (7036 7036 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (4560 4560 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (4276 4276 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (3942 3942 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (3942 3942 (:TYPE-PRESCRIPTION REVAPPEND))
 (3888 648 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-NEGATE))
 (3798 483 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (2126 2126 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (2052 2052 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
 (1951 1951 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (1951 1951 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (1951 1951 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (1303 1303 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (1188 360 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (1134 7 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSEP))
 (927 927 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (798 798 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSETP))
 (711 360 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (567 7 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (456 228 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-CDR))
 (423 423 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (423 423 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (423 423 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (423 423 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (423 423 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (423 423 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (402 249 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (364 7 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (321 321 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (291 291 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (249 75 (:DEFINITION REVAPPEND))
 (228 228 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (228 228 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP-TRANSITIVE))
 (189 42 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (144 144 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (126 126 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (111 111 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (98 7 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (96 96 (:REWRITE CDR-CONS))
 (63 63 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (63 21 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (48 48 (:REWRITE CAR-CONS))
 (42 7 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (14 14 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (14 14 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (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))
 (7 7 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (7 7 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::CLAUSE-AGREES-WITH-STACKP
 (243 3 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (225 30 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (222 12 (:DEFINITION MEMBER-EQUAL))
 (156 3 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (84 19 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (72 72 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (69 15 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (60 24 (:REWRITE DEFAULT-+-2))
 (56 56 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (54 9 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (44 44 (:REWRITE DEFAULT-CDR))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (27 27 (:REWRITE DEFAULT-CAR))
 (27 9 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-FREAD))
 (27 9 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (27 3 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-SQUEEZE-EQUAL-+-2))
 (24 24 (:REWRITE DEFAULT-+-1))
 (24 6 (:REWRITE PROOF-CHECKER-ARRAY::LOOKUP-CORRESPONDS-WITH-STACKP-1+))
 (24 6 (:REWRITE DEFAULT-<-1))
 (21 3 (:REWRITE DEFAULT-*-2))
 (18 3 (:DEFINITION SIGNED-BYTE-P))
 (17 1 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--SQUEEZE))
 (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))
 (15 6 (:REWRITE PROOF-CHECKER-ARRAY::LOOKUP-CORRESPONDS-WITH-STACKP-+-2))
 (15 3 (:DEFINITION INTEGER-RANGE-P))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-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))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (6 6 (:REWRITE DEFAULT-<-2))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (3 3 (:REWRITE DEFAULT-*-1))
 )
(PROOF-CHECKER-ARRAY::FREAD-*STACK*-AT-*STACK-END*-ASSIGN-LIT
 (145 6 (:REWRITE PROOF-CHECKER-ARRAY::FWRITE-REDUNDANT))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-LOOKUP-1))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-*LOOKUP*-1))
 (1 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(PROOF-CHECKER-ARRAY::FIELD-MEMBERP-1--*STACK-END*-ASSIGN-LIT
 (195 9 (:REWRITE PROOF-CHECKER-ARRAY::FREAD-FWRITE))
 (174 7 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-*LOOKUP*-1-****))
 (145 6 (:REWRITE PROOF-CHECKER-ARRAY::FWRITE-REDUNDANT))
 (60 2 (:DEFINITION PROOF-CHECKER-ARRAY::FIELD-MEMBERP))
 (34 7 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-PROJECT1-IMPLIES-FIELD-MEMBERP))
 (24 3 (:DEFINITION SIGNED-BYTE-P))
 (21 3 (:DEFINITION INTEGER-RANGE-P))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-LOOKUP-1))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-*LOOKUP*-1))
 (11 11 (:REWRITE DEFAULT-+-2))
 (11 11 (:REWRITE DEFAULT-+-1))
 (10 2 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--SQUEEZE))
 (8 8 (:REWRITE DEFAULT-<-2))
 (8 8 (:REWRITE DEFAULT-<-1))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::NOT-FIELD-MEMBERP-*STACK*-IMPLIES-NOT-EQUAL-FREAD-*LOOKUP*-1))
 (6 3 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (6 2 (:REWRITE FOLD-CONSTS-IN-+))
 (4 2 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-FIELD-MEMBERP-*STACK*))
 (4 1 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-FWRITE-SAME-VALUE))
 (4 1 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-FWRITE-DIFF-VALUE-IS-ELEM))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENT-STP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--NOT-0))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::EQUAL-FREAD-LOOKUP-1-IMPLIES-FIELD-MEMBERP-*STACK*))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-FWRITE-DIFF-VALUE-NOT-ELEM))
 )
(PROOF-CHECKER-ARRAY::NOT-FIELD-MEMBERP-FREAD-ASSIGN-LIT-ASSIGN-LIT
 (42 6 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-PROJECT1-IMPLIES-FIELD-MEMBERP))
 (32 4 (:DEFINITION SIGNED-BYTE-P))
 (28 4 (:DEFINITION INTEGER-RANGE-P))
 (21 6 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-*LOOKUP*-1-****))
 (13 13 (:REWRITE DEFAULT-+-2))
 (13 13 (:REWRITE DEFAULT-+-1))
 (12 12 (:REWRITE DEFAULT-<-2))
 (12 12 (:REWRITE DEFAULT-<-1))
 (10 2 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--SQUEEZE))
 (8 4 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (7 1 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (6 2 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-FIELD-MEMBERP-*STACK*))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::NOT-FIELD-MEMBERP-*STACK*-IMPLIES-NOT-EQUAL-FREAD-*LOOKUP*-1))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-LOOKUP-1))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-*LOOKUP*-1))
 (4 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENT-STP))
 (4 1 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-<-1+))
 (3 3 (:TYPE-PRESCRIPTION EVENP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--NOT-0))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::EQUAL-FREAD-LOOKUP-1-IMPLIES-FIELD-MEMBERP-*STACK*))
 (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::CLAUSE-AGREES-WITH-STACKP-ASSIGN-LIT
 (17648 350 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-*LOOKUP*-1-****))
 (14575 344 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-LOOKUP-1))
 (13580 724 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-PROJECT1-IMPLIES-FIELD-MEMBERP))
 (9226 545 (:DEFINITION SIGNED-BYTE-P))
 (8681 545 (:DEFINITION INTEGER-RANGE-P))
 (4452 87 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-FIELD-MEMBERP-*STACK*))
 (4359 2096 (:REWRITE DEFAULT-+-2))
 (3712 292 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--SQUEEZE))
 (3001 418 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-IMPLIES-<-NEGATE))
 (2534 688 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (2096 2096 (:REWRITE DEFAULT-+-1))
 (2027 1233 (:REWRITE DEFAULT-<-1))
 (1611 340 (:REWRITE PROOF-CHECKER-ARRAY::NOT-FIELD-MEMBERP-*STACK*-IMPLIES-NOT-EQUAL-FREAD-*LOOKUP*-1))
 (1534 214 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-SB60P-NEGATE))
 (1498 290 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--NOT-0))
 (1476 246 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (1233 1233 (:REWRITE DEFAULT-<-2))
 (945 105 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-SQUEEZE-EQUAL-+-2))
 (858 254 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-FREAD))
 (828 156 (:REWRITE PROOF-CHECKER-ARRAY::EQUAL-FREAD-*LOOKUP*-1-IMPLIES-NOT-EQUAL-FREAD-*LOOKUP*-NEGATE-1))
 (776 194 (:REWRITE PROOF-CHECKER-ARRAY::LOOKUP-CORRESPONDS-WITH-STACKP-1+))
 (765 39 (:DEFINITION PROOF-CHECKER-ARRAY::PROJECT1))
 (747 161 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-NOT-FIELD-MEMBERP-NEGATE-*STACK*))
 (739 87 (:REWRITE PROOF-CHECKER-ARRAY::EQUAL-FREAD-LOOKUP-1-IMPLIES-FIELD-MEMBERP-*STACK*))
 (735 105 (:REWRITE DEFAULT-*-2))
 (672 672 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (672 672 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (664 664 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (614 165 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-FIELD-OFFSETP-NEGATE-2))
 (485 194 (:REWRITE PROOF-CHECKER-ARRAY::LOOKUP-CORRESPONDS-WITH-STACKP-+-2))
 (413 165 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-FIELD-OFFSETP-NEGATE))
 (369 369 (:REWRITE DEFAULT-CAR))
 (368 1 (:REWRITE PROOF-CHECKER-ARRAY::STACK-NOT-CONFLICTINGP-ASSIGN-LIT))
 (361 2 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGN-LIT-CONS-PROJECT1))
 (360 360 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (360 360 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (360 360 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (350 342 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-*LOOKUP*-1))
 (329 323 (:REWRITE DEFAULT-CDR))
 (201 3 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENT-STP-EVENP-LEN))
 (187 187 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (175 175 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (175 175 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (175 175 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (175 175 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (170 170 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::PROJECT1))
 (144 2 (:REWRITE PROOF-CHECKER-ARRAY::LIT-IN-RANGE-NEGATE))
 (140 35 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-<-1+))
 (138 18 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-FREAD-*STACK*-2))
 (123 123 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (118 118 (:TYPE-PRESCRIPTION EVENP))
 (105 105 (:REWRITE DEFAULT-*-1))
 (18 18 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-FREAD-*STACK*))
 (13 7 (:REWRITE PROOF-CHECKER-ARRAY::<-1-NEGATE))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::CLAUSE-TO-ASSIGNMENT)
(PROOF-CHECKER-ARRAY::FIELD-OFFSETP-NEGATE-LIT-*LOOKUP*
 (41 9 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (36 14 (:REWRITE DEFAULT-+-2))
 (30 5 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (18 2 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-SQUEEZE-EQUAL-+-2))
 (16 4 (:REWRITE PROOF-CHECKER-ARRAY::LOOKUP-CORRESPONDS-WITH-STACKP-1+))
 (15 5 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-FREAD))
 (14 14 (:REWRITE DEFAULT-+-1))
 (14 2 (:REWRITE DEFAULT-*-2))
 (12 2 (:DEFINITION SIGNED-BYTE-P))
 (10 4 (:REWRITE PROOF-CHECKER-ARRAY::LOOKUP-CORRESPONDS-WITH-STACKP-+-2))
 (10 4 (:REWRITE DEFAULT-<-1))
 (10 2 (:DEFINITION INTEGER-RANGE-P))
 (7 1 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-0))
 (4 4 (:REWRITE DEFAULT-<-2))
 (4 1 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-<-1+))
 (2 2 (:REWRITE DEFAULT-*-1))
 (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::CLAUSE-TO-ASSIGNMENT
 (6253 1198 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (3399 33 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-FIELD-MEMBERP-*STACK*))
 (2904 240 (:DEFINITION SIGNED-BYTE-P))
 (2664 240 (:DEFINITION INTEGER-RANGE-P))
 (1585 115 (:REWRITE DEFAULT-+-2))
 (1491 456 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (1227 162 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (1198 1198 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (1197 1197 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1197 1197 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (1175 66 (:REWRITE PROOF-CHECKER-ARRAY::IFF-FIELD-MEMBERP-MEMBER-PROJECT1))
 (1055 66 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-PROJECT1-IMPLIES-FIELD-MEMBERP))
 (909 789 (:REWRITE DEFAULT-CDR))
 (891 891 (:REWRITE DEFAULT-CAR))
 (714 54 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-IMPLIES-<-NEGATE))
 (642 115 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (567 513 (:REWRITE DEFAULT-<-1))
 (560 2 (:REWRITE PROOF-CHECKER-ARRAY::NOT-FIELD-MEMBERP-FREAD-ASSIGN-LIT-ASSIGN-LIT))
 (513 513 (:REWRITE DEFAULT-<-2))
 (468 30 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (403 383 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (385 385 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (385 385 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (385 385 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (384 384 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (383 383 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (383 383 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (340 340 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (290 24 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-NOT-EQUAL-NEGATE))
 (280 66 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-*LOOKUP*-1-****))
 (255 81 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-FREAD))
 (243 81 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (189 63 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (159 159 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (141 141 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (124 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONS))
 (115 115 (:REWRITE DEFAULT-+-1))
 (101 33 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--SQUEEZE))
 (101 33 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--NOT-0))
 (70 66 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-*LOOKUP*-1))
 (66 66 (:REWRITE PROOF-CHECKER-ARRAY::NOT-FIELD-MEMBERP-*STACK*-IMPLIES-NOT-EQUAL-FREAD-*LOOKUP*-1))
 (66 66 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-LOOKUP-1))
 (37 37 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (36 12 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-NOT-FIELD-MEMBERP-NEGATE-*STACK*))
 (33 33 (:REWRITE PROOF-CHECKER-ARRAY::EQUAL-FREAD-LOOKUP-1-IMPLIES-FIELD-MEMBERP-*STACK*))
 (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))
 (25 1 (:REWRITE PROOF-CHECKER-ARRAY::LIT-IN-RANGEP-ASSIGN-LIT))
 (24 24 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::STACK-NOT-CONFLICTINGP))
 (18 6 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-FIELD-OFFSETP-NEGATE-2))
 (18 6 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-FIELD-OFFSETP-NEGATE))
 (15 9 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-ASSIGN-LIT))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::EQUAL-FREAD-*LOOKUP*-1-IMPLIES-NOT-EQUAL-FREAD-*LOOKUP*-NEGATE-1))
 (12 4 (:REWRITE PROOF-CHECKER-ARRAY::FIELDP-ASSIGN-LIT))
 (9 9 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (8 4 (:REWRITE PROOF-CHECKER-ARRAY::FARRAYP-ASSIGN-LIT))
 (6 2 (:REWRITE PROOF-CHECKER-ARRAY::FREAD-*STACK-END*-ASSIGN-LIT))
 (4 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::STACK-CORRESPONDS-WITH-LOOKUP-P))
 )
(PROOF-CHECKER-ARRAY::ASSIGNMENT-STP-CLAUSE-TO-ASSIGNMENT
 (4410 733 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (2965 33 (:REWRITE PROOF-CHECKER-ARRAY::IFF-ASSIGNEDP-MEMBER-PROJECT))
 (2706 61 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (1645 16 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-FIELD-MEMBERP-*STACK*))
 (1022 150 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (1021 126 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 (992 124 (:DEFINITION SIGNED-BYTE-P))
 (985 16 (:DEFINITION PROOF-CHECKER-ARRAY::FIELD-MEMBERP))
 (922 67 (:REWRITE DEFAULT-+-2))
 (868 265 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (868 124 (:DEFINITION INTEGER-RANGE-P))
 (746 631 (:REWRITE DEFAULT-CDR))
 (733 733 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (733 733 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (733 733 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (714 94 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (693 121 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (528 526 (:REWRITE DEFAULT-CAR))
 (456 456 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (432 22 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (364 2 (:REWRITE PROOF-CHECKER-ARRAY::NOT-FIELD-MEMBERP-FREAD-ASSIGN-LIT-ASSIGN-LIT))
 (346 116 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (339 16 (:REWRITE FOLD-CONSTS-IN-+))
 (332 2 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGN-LIT-CONS-PROJECT))
 (316 316 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (316 316 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (316 316 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (316 316 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (311 32 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-PROJECT1-IMPLIES-FIELD-MEMBERP))
 (311 32 (:REWRITE PROOF-CHECKER-ARRAY::IFF-FIELD-MEMBERP-MEMBER-PROJECT1))
 (264 264 (:REWRITE DEFAULT-<-2))
 (264 264 (:REWRITE DEFAULT-<-1))
 (214 210 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (210 210 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (210 210 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (154 154 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (150 47 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-FREAD))
 (141 47 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (129 129 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (128 32 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-*LOOKUP*-1-****))
 (126 12 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-NOT-EQUAL-NEGATE))
 (67 67 (:REWRITE DEFAULT-+-1))
 (65 65 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNEDP))
 (53 3 (:REWRITE PROOF-CHECKER-ARRAY::LIT-IN-RANGEP-ASSIGN-LIT))
 (50 50 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FIELDP))
 (49 16 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--SQUEEZE))
 (49 16 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--NOT-0))
 (32 32 (:REWRITE PROOF-CHECKER-ARRAY::NOT-FIELD-MEMBERP-*STACK*-IMPLIES-NOT-EQUAL-FREAD-*LOOKUP*-1))
 (32 32 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-LOOKUP-1))
 (32 32 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-*LOOKUP*-1))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (22 22 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (22 22 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-0))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::EQUAL-FREAD-LOOKUP-1-IMPLIES-FIELD-MEMBERP-*STACK*))
 (9 9 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (7 3 (:REWRITE PROOF-CHECKER-ARRAY::FARRAYP-ASSIGN-LIT))
 (6 4 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-ASSIGN-LIT))
 (6 2 (:REWRITE PROOF-CHECKER-ARRAY::FREAD-*STACK-END*-ASSIGN-LIT))
 (6 2 (:REWRITE PROOF-CHECKER-ARRAY::FIELDP-ASSIGN-LIT))
 (6 2 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-FIELD-OFFSETP-NEGATE-2))
 (6 2 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-FIELD-OFFSETP-NEGATE))
 (4 4 (:REWRITE CDR-CONS))
 (3 3 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::CLAUSE-TO-ASSIGNMENT))
 (2 2 (:REWRITE CAR-CONS))
 )
(PROOF-CHECKER-ARRAY::LIT-IN-RANGEP-CLAUSE-TO-ASSIGNMENT
 (5892 1031 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (4022 77 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (3991 43 (:REWRITE PROOF-CHECKER-ARRAY::IFF-ASSIGNEDP-MEMBER-PROJECT))
 (2144 20 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-FIELD-MEMBERP-*STACK*))
 (1486 201 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (1356 172 (:DEFINITION SIGNED-BYTE-P))
 (1355 22 (:DEFINITION PROOF-CHECKER-ARRAY::FIELD-MEMBERP))
 (1336 153 (:REWRITE DEFAULT-+-2))
 (1308 229 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 (1290 381 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (1200 30 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (1184 172 (:DEFINITION INTEGER-RANGE-P))
 (1031 1031 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1031 1031 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (1031 1031 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (1026 140 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (1018 864 (:REWRITE DEFAULT-CDR))
 (855 145 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (737 735 (:REWRITE DEFAULT-CAR))
 (646 47 (:REWRITE PROOF-CHECKER-ARRAY::IFF-FIELD-MEMBERP-MEMBER-PROJECT1))
 (564 564 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (439 24 (:REWRITE FOLD-CONSTS-IN-+))
 (436 146 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (423 45 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-PROJECT1-IMPLIES-FIELD-MEMBERP))
 (409 409 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (409 409 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (409 409 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (409 409 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (389 2 (:REWRITE PROOF-CHECKER-ARRAY::NOT-FIELD-MEMBERP-FREAD-ASSIGN-LIT-ASSIGN-LIT))
 (372 359 (:REWRITE DEFAULT-<-1))
 (359 359 (:REWRITE DEFAULT-<-2))
 (332 2 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGN-LIT-CONS-PROJECT))
 (278 278 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (278 278 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (252 81 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-FREAD))
 (239 42 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-*LOOKUP*-1-****))
 (196 196 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (177 59 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (166 166 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (157 15 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-NOT-EQUAL-NEGATE))
 (153 153 (:REWRITE DEFAULT-+-1))
 (131 8 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-FIELD-OFFSETP-NEGATE-2))
 (122 24 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--SQUEEZE))
 (111 2 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENT-STP-EVENP-LEN))
 (109 42 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-LOOKUP-1))
 (103 10 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-ASSIGN-LIT))
 (97 2 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-IMPLIES-MEMBER-PROJECT1))
 (90 10 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-SQUEEZE-EQUAL-+-2))
 (85 85 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNEDP))
 (85 24 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--NOT-0))
 (70 10 (:REWRITE DEFAULT-*-2))
 (68 2 (:DEFINITION PROOF-CHECKER-ARRAY::PROJECT1))
 (56 14 (:REWRITE PROOF-CHECKER-ARRAY::LOOKUP-CORRESPONDS-WITH-STACKP-1+))
 (55 3 (:REWRITE PROOF-CHECKER-ARRAY::LIT-IN-RANGEP-ASSIGN-LIT))
 (46 42 (:REWRITE PROOF-CHECKER-ARRAY::NOT-FIELD-MEMBERP-*STACK*-IMPLIES-NOT-EQUAL-FREAD-*LOOKUP*-1))
 (44 44 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-0))
 (42 42 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-*LOOKUP*-1))
 (35 14 (:REWRITE PROOF-CHECKER-ARRAY::LOOKUP-CORRESPONDS-WITH-STACKP-+-2))
 (32 32 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (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))
 (20 20 (:REWRITE PROOF-CHECKER-ARRAY::EQUAL-FREAD-LOOKUP-1-IMPLIES-FIELD-MEMBERP-*STACK*))
 (20 8 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-FIELD-OFFSETP-NEGATE))
 (14 14 (:TYPE-PRESCRIPTION EVENP))
 (13 13 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::PROJECT1))
 (10 10 (:REWRITE DEFAULT-*-1))
 (10 4 (:REWRITE PROOF-CHECKER-ARRAY::FARRAYP-ASSIGN-LIT))
 (9 9 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (8 2 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-<-1+))
 (6 2 (:REWRITE PROOF-CHECKER-ARRAY::FREAD-*STACK-END*-ASSIGN-LIT))
 (6 2 (:REWRITE PROOF-CHECKER-ARRAY::FIELDP-ASSIGN-LIT))
 (4 4 (:REWRITE CDR-CONS))
 (3 3 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::CLAUSE-TO-ASSIGNMENT))
 (2 2 (:REWRITE CAR-CONS))
 )
(PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-CLAUSE-TO-ASSIGNMENT
 (6270 999 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (4406 51 (:REWRITE PROOF-CHECKER-ARRAY::IFF-ASSIGNEDP-MEMBER-PROJECT))
 (4146 89 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (2214 22 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-FIELD-MEMBERP-*STACK*))
 (1360 170 (:DEFINITION SIGNED-BYTE-P))
 (1269 282 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 (1237 94 (:REWRITE DEFAULT-+-2))
 (1213 213 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (1190 170 (:DEFINITION INTEGER-RANGE-P))
 (1168 359 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (1046 898 (:REWRITE DEFAULT-CDR))
 (999 999 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (999 999 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (999 999 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (954 126 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (945 181 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (698 696 (:REWRITE DEFAULT-CAR))
 (612 612 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (454 152 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (452 24 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (442 442 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (442 442 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (442 442 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (442 442 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (431 44 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-PROJECT1-IMPLIES-FIELD-MEMBERP))
 (431 44 (:REWRITE PROOF-CHECKER-ARRAY::IFF-FIELD-MEMBERP-MEMBER-PROJECT1))
 (389 2 (:REWRITE PROOF-CHECKER-ARRAY::NOT-FIELD-MEMBERP-FREAD-ASSIGN-LIT-ASSIGN-LIT))
 (377 314 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (362 362 (:REWRITE DEFAULT-<-2))
 (362 362 (:REWRITE DEFAULT-<-1))
 (332 2 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGN-LIT-CONS-PROJECT))
 (314 314 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (314 314 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (222 222 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (198 63 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-FREAD))
 (189 63 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (178 178 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (176 44 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-*LOOKUP*-1-****))
 (141 13 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-NOT-EQUAL-NEGATE))
 (101 101 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNEDP))
 (94 94 (:REWRITE DEFAULT-+-1))
 (67 22 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--SQUEEZE))
 (67 22 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--NOT-0))
 (45 45 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (44 44 (:REWRITE PROOF-CHECKER-ARRAY::NOT-FIELD-MEMBERP-*STACK*-IMPLIES-NOT-EQUAL-FREAD-*LOOKUP*-1))
 (44 44 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-LOOKUP-1))
 (44 44 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-*LOOKUP*-1))
 (27 27 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (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))
 (22 22 (:REWRITE PROOF-CHECKER-ARRAY::EQUAL-FREAD-LOOKUP-1-IMPLIES-FIELD-MEMBERP-*STACK*))
 (15 5 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-FIELD-OFFSETP-NEGATE-2))
 (15 5 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-FIELD-OFFSETP-NEGATE))
 (10 4 (:REWRITE PROOF-CHECKER-ARRAY::FARRAYP-ASSIGN-LIT))
 (9 5 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-ASSIGN-LIT))
 (6 2 (:REWRITE PROOF-CHECKER-ARRAY::FREAD-*STACK-END*-ASSIGN-LIT))
 (6 2 (:REWRITE PROOF-CHECKER-ARRAY::FIELDP-ASSIGN-LIT))
 (4 4 (:REWRITE CDR-CONS))
 (3 3 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::CLAUSE-TO-ASSIGNMENT))
 (2 2 (:REWRITE CAR-CONS))
 )
(PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-CLAUSE-TO-ASSIGNMENT
 (5626 1115 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (5460 9 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-AGREES-WITH-STACKP))
 (3129 18 (:REWRITE PROOF-CHECKER-ARRAY::IFF-FIELD-MEMBERP-MEMBER-PROJECT))
 (2436 27 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (2115 18 (:REWRITE PROOF-CHECKER-ARRAY::IFF-ASSIGNEDP-MEMBER-PROJECT))
 (1233 291 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (1152 9 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-FIELD-MEMBERP-*STACK*))
 (1115 1115 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1115 1115 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (1115 1115 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (1020 966 (:REWRITE DEFAULT-CDR))
 (914 19 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (873 19 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (851 851 (:REWRITE DEFAULT-CAR))
 (798 798 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (648 27 (:REWRITE PROOF-CHECKER-ARRAY::LIT-IN-RANGE-NEGATE))
 (594 72 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (576 72 (:DEFINITION SIGNED-BYTE-P))
 (540 9 (:DEFINITION PROOF-CHECKER-ARRAY::FIELD-MEMBERP))
 (522 36 (:REWRITE DEFAULT-+-2))
 (504 72 (:DEFINITION INTEGER-RANGE-P))
 (495 153 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (432 144 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (405 54 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (357 35 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (351 27 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-NEGATE))
 (349 349 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (349 349 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (349 349 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (349 349 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (281 281 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (216 216 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::PROJECT))
 (214 214 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (191 191 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (191 191 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (191 191 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (189 9 (:REWRITE FOLD-CONSTS-IN-+))
 (184 10 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-NOT-EQUAL-NEGATE))
 (180 18 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-PROJECT1-IMPLIES-FIELD-MEMBERP))
 (180 18 (:REWRITE PROOF-CHECKER-ARRAY::IFF-FIELD-MEMBERP-MEMBER-PROJECT1))
 (153 153 (:TYPE-PRESCRIPTION SIGNED-BYTE-P))
 (153 153 (:REWRITE DEFAULT-<-2))
 (153 153 (:REWRITE DEFAULT-<-1))
 (141 141 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (126 9 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-SB60P-NEGATE))
 (121 49 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (81 27 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-FREAD))
 (81 27 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (72 18 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-*LOOKUP*-1-****))
 (54 18 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-TO-ASSIGNMENT))
 (49 49 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (49 49 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (45 45 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FIELD-OFFSETP))
 (45 45 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FARRAYP))
 (36 36 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNEDP))
 (36 36 (:REWRITE DEFAULT-+-1))
 (27 27 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FIELDP))
 (27 9 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--SQUEEZE))
 (27 9 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--NOT-0))
 (18 18 (:REWRITE PROOF-CHECKER-ARRAY::NOT-FIELD-MEMBERP-*STACK*-IMPLIES-NOT-EQUAL-FREAD-*LOOKUP*-1))
 (18 18 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-LOOKUP-1))
 (18 18 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-*LOOKUP*-1))
 (9 9 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FIELD-MEMBERP))
 (9 9 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-0))
 (9 9 (:REWRITE PROOF-CHECKER-ARRAY::EQUAL-FREAD-LOOKUP-1-IMPLIES-FIELD-MEMBERP-*STACK*))
 )
(PROOF-CHECKER-ARRAY::FIELD-OFFSETP-UNASSIGN-ALL
 (463 101 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (354 59 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (348 182 (:REWRITE DEFAULT-+-2))
 (189 21 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-SQUEEZE-EQUAL-+-2))
 (182 182 (:REWRITE DEFAULT-+-1))
 (177 59 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-FREAD))
 (147 21 (:REWRITE DEFAULT-*-2))
 (140 38 (:REWRITE DEFAULT-<-1))
 (136 34 (:REWRITE PROOF-CHECKER-ARRAY::LOOKUP-CORRESPONDS-WITH-STACKP-1+))
 (126 21 (:DEFINITION SIGNED-BYTE-P))
 (105 21 (:DEFINITION INTEGER-RANGE-P))
 (85 34 (:REWRITE PROOF-CHECKER-ARRAY::LOOKUP-CORRESPONDS-WITH-STACKP-+-2))
 (74 10 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--SQUEEZE))
 (64 3 (:REWRITE PROOF-CHECKER-ARRAY::FREAD-*STACK-END*-UNASSIGN-ONE))
 (38 38 (:REWRITE DEFAULT-<-2))
 (21 21 (:REWRITE DEFAULT-*-1))
 (9 3 (:REWRITE FOLD-CONSTS-IN-+))
 (3 3 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNASSIGN-ALL))
 )
(PROOF-CHECKER-ARRAY::LIT-IN-RANGEP-UNASSIGN-ALL
 (41 9 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (36 14 (:REWRITE DEFAULT-+-2))
 (30 5 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (18 2 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-SQUEEZE-EQUAL-+-2))
 (16 4 (:REWRITE PROOF-CHECKER-ARRAY::LOOKUP-CORRESPONDS-WITH-STACKP-1+))
 (15 5 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-FREAD))
 (14 14 (:REWRITE DEFAULT-+-1))
 (14 2 (:REWRITE DEFAULT-*-2))
 (12 2 (:DEFINITION SIGNED-BYTE-P))
 (10 4 (:REWRITE PROOF-CHECKER-ARRAY::LOOKUP-CORRESPONDS-WITH-STACKP-+-2))
 (10 4 (:REWRITE DEFAULT-<-1))
 (10 2 (:DEFINITION INTEGER-RANGE-P))
 (7 1 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-0))
 (4 4 (:REWRITE DEFAULT-<-2))
 (4 1 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-<-1+))
 (3 3 (:TYPE-PRESCRIPTION EVENP))
 (2 2 (:REWRITE DEFAULT-*-1))
 (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::CLAUSE-IN-RANGEP-UNASSIGN-ALL
 (330 56 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (78 6 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (75 19 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (56 56 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (56 56 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (56 56 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (52 52 (:REWRITE DEFAULT-CDR))
 (52 52 (:REWRITE DEFAULT-CAR))
 (50 50 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (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))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (18 18 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (18 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (13 13 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (9 9 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (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))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-NOT-EQUAL-NEGATE))
 )
(PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-UNASSIGN-ALL
 (541 78 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (185 42 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (122 122 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (102 102 (:REWRITE DEFAULT-CDR))
 (78 78 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (78 78 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (78 78 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (77 77 (:REWRITE DEFAULT-CAR))
 (63 21 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (35 35 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (35 35 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (35 35 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (35 35 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (28 28 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (28 28 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (25 7 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (24 4 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (8 8 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (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 8 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (8 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (4 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LIT-IN-RANGEP))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-UNIT-PROPAGATION
 (98712 15 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (84868 10 (:REWRITE PROOF-CHECKER-ARRAY::IFF-TRUEP-EVALUATE-CLAUSE-CONS))
 (80976 42 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-FIND-UNIT-CLAUSE-SUBSETP))
 (72531 6758 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (59004 684 (:REWRITE PROOF-CHECKER-ARRAY::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (58492 228 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (56952 684 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (54492 76 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (54349 27 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (54264 76 (:DEFINITION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (37970 38 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSETP))
 (26939 183 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (25038 248 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (24840 76 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-AND-SUBSETP-IMPLIES-SUBSETP))
 (13656 72 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (9510 7234 (:REWRITE DEFAULT-CDR))
 (7623 211 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (7232 62 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (7167 62 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (6758 6758 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (6758 6758 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (6758 6758 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (5771 3147 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (5472 5472 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (4482 4466 (:REWRITE DEFAULT-CAR))
 (4320 480 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (3790 3790 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::PROJECT))
 (3147 3147 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (3147 3147 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (3147 3147 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (2460 2460 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (1686 215 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (1540 1540 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (1520 1520 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (1440 240 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-NEGATE))
 (1314 1314 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (1314 1314 (:TYPE-PRESCRIPTION REVAPPEND))
 (1134 7 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSEP))
 (766 766 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (727 727 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (727 727 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (727 727 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (684 684 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-TRANSITIVE))
 (567 7 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (516 156 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (487 487 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (411 411 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (364 7 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (303 156 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (266 266 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SUBSETP))
 (194 113 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (189 42 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (183 183 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (183 183 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (183 183 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (183 183 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (183 183 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (183 183 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (152 76 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-CDR))
 (149 149 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (127 127 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (126 126 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (101 31 (:DEFINITION REVAPPEND))
 (98 7 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (76 76 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (76 76 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP-TRANSITIVE))
 (72 72 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (72 12 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (63 21 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (55 55 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (32 32 (:REWRITE CDR-CONS))
 (27 27 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (16 16 (:REWRITE CAR-CONS))
 (14 14 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (14 14 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (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::CLAUSE-IN-RANGEP-MEMBER))
 (10 2 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGN-LIT-CONS-PROJECT))
 (7 7 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::CLAUSE-AGREES-WITH-STACKP-UNASSIGN-ALL
 (699 144 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (624 8 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-FIELD-MEMBERP-*STACK*))
 (496 62 (:DEFINITION SIGNED-BYTE-P))
 (434 62 (:DEFINITION INTEGER-RANGE-P))
 (427 31 (:REWRITE DEFAULT-+-2))
 (410 128 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (360 8 (:REWRITE PROOF-CHECKER-ARRAY::IFF-ASSIGNEDP-MEMBER-PROJECT))
 (330 44 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (292 16 (:REWRITE PROOF-CHECKER-ARRAY::LIT-IN-RANGEP-UNASSIGN-ALL))
 (171 7 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (160 16 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-PROJECT1-IMPLIES-FIELD-MEMBERP))
 (160 16 (:REWRITE PROOF-CHECKER-ARRAY::IFF-FIELD-MEMBERP-MEMBER-PROJECT1))
 (144 144 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (144 144 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (144 144 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (132 132 (:REWRITE DEFAULT-<-2))
 (132 132 (:REWRITE DEFAULT-<-1))
 (114 114 (:REWRITE DEFAULT-CAR))
 (114 18 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 (84 22 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (77 77 (:REWRITE DEFAULT-CDR))
 (68 16 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-*LOOKUP*-1-****))
 (66 22 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-FREAD))
 (66 22 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (56 56 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (52 52 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (52 52 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (52 52 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (52 52 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (43 15 (:REWRITE PROOF-CHECKER-ARRAY::FREAD-*STACK-END*-UNASSIGN-ALL))
 (35 35 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (35 35 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (35 35 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (31 31 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (31 31 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (31 31 (:REWRITE DEFAULT-+-1))
 (24 8 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--SQUEEZE))
 (24 8 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--NOT-0))
 (20 16 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-*LOOKUP*-1))
 (18 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (17 17 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::NOT-FIELD-MEMBERP-*STACK*-IMPLIES-NOT-EQUAL-FREAD-*LOOKUP*-1))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-LOOKUP-1))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENT-STP-UNASSIGN-ALL))
 (15 15 (:REWRITE PROOF-CHECKER-ARRAY::FREAD-*STACK-END*-UNASSIGN-ALL-*STACK-END*))
 (8 8 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNEDP))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::EQUAL-FREAD-LOOKUP-1-IMPLIES-FIELD-MEMBERP-*STACK*))
 (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))
 (4 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::STACK-CORRESPONDS-WITH-LOOKUP-P))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-NOT-EQUAL-NEGATE))
 )
(PROOF-CHECKER-ARRAY::ATP-ST
 (3988 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION-ST))
 (3599 616 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (3257 1 (:REWRITE PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE-EQUIV))
 (3009 1 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (3006 1 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (2852 4 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (2336 8 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (1396 316 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (1278 497 (:REWRITE DEFAULT-+-2))
 (960 160 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (879 222 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (801 1 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (668 644 (:REWRITE DEFAULT-CDR))
 (639 71 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-SQUEEZE-EQUAL-+-2))
 (616 616 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (616 616 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (616 616 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (568 142 (:REWRITE PROOF-CHECKER-ARRAY::LOOKUP-CORRESPONDS-WITH-STACKP-1+))
 (556 2 (:REWRITE PROOF-CHECKER-ARRAY::LIT-IN-RANGEP-CLAUSE-TO-ASSIGNMENT))
 (546 546 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (538 85 (:DEFINITION SIGNED-BYTE-P))
 (534 6 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-CLAUSE-TO-ASSIGNMENT))
 (497 497 (:REWRITE DEFAULT-+-1))
 (497 71 (:REWRITE DEFAULT-*-2))
 (480 160 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-FREAD))
 (468 468 (:REWRITE DEFAULT-CAR))
 (459 32 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (453 85 (:DEFINITION INTEGER-RANGE-P))
 (355 142 (:REWRITE PROOF-CHECKER-ARRAY::LOOKUP-CORRESPONDS-WITH-STACKP-+-2))
 (333 111 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (225 117 (:REWRITE DEFAULT-<-1))
 (219 219 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (219 219 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (219 219 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (219 219 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (171 171 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (164 164 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (117 117 (:REWRITE DEFAULT-<-2))
 (96 4 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-NEGATE))
 (82 82 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (82 12 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (72 72 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::PROJECT))
 (71 71 (:REWRITE DEFAULT-*-1))
 (70 9 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (70 7 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-PROJECT1-IMPLIES-FIELD-MEMBERP))
 (57 57 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (57 57 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (57 57 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (42 42 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (42 42 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (42 42 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (42 14 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--SQUEEZE))
 (42 14 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--NOT-0))
 (28 7 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-*LOOKUP*-1-****))
 (25 9 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (25 7 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (20 6 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (17 17 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (16 4 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (11 6 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (10 5 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::NOT-FIELD-MEMBERP-*STACK*-IMPLIES-NOT-EQUAL-FREAD-*LOOKUP*-1))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-LOOKUP-1))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-*LOOKUP*-1))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (7 4 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (6 2 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-TO-ASSIGNMENT))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (3 1 (:DEFINITION REVAPPEND))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 )
(PROOF-CHECKER-ARRAY::APPEND-REVAPPEND-CONS
 (85 44 (:REWRITE DEFAULT-CAR))
 (82 41 (:REWRITE DEFAULT-CDR))
 )
(PROOF-CHECKER-ARRAY::NEGATE-CLAUSE-EQUIV-1
 (4407 738 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (3112 33 (:REWRITE PROOF-CHECKER-ARRAY::IFF-ASSIGNEDP-MEMBER-PROJECT))
 (2949 59 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (1746 16 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-FIELD-MEMBERP-*STACK*))
 (992 124 (:DEFINITION SIGNED-BYTE-P))
 (985 16 (:DEFINITION PROOF-CHECKER-ARRAY::FIELD-MEMBERP))
 (920 65 (:REWRITE DEFAULT-+-2))
 (868 265 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (868 124 (:DEFINITION INTEGER-RANGE-P))
 (808 671 (:REWRITE DEFAULT-CDR))
 (738 738 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (738 738 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (738 738 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (714 94 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (693 121 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (595 571 (:REWRITE DEFAULT-CAR))
 (456 456 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (432 22 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (389 2 (:REWRITE PROOF-CHECKER-ARRAY::NOT-FIELD-MEMBERP-FREAD-ASSIGN-LIT-ASSIGN-LIT))
 (346 116 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (339 16 (:REWRITE FOLD-CONSTS-IN-+))
 (317 317 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (317 317 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (317 317 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (317 317 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (311 32 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-PROJECT1-IMPLIES-FIELD-MEMBERP))
 (311 32 (:REWRITE PROOF-CHECKER-ARRAY::IFF-FIELD-MEMBERP-MEMBER-PROJECT1))
 (264 264 (:REWRITE DEFAULT-<-2))
 (264 264 (:REWRITE DEFAULT-<-1))
 (249 214 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (214 214 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (214 214 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (150 150 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (150 47 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-FREAD))
 (141 47 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (141 13 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-NOT-EQUAL-NEGATE))
 (130 130 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (128 32 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-*LOOKUP*-1-****))
 (65 65 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNEDP))
 (65 65 (:REWRITE DEFAULT-+-1))
 (55 3 (:REWRITE PROOF-CHECKER-ARRAY::LIT-IN-RANGEP-ASSIGN-LIT))
 (50 50 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FIELDP))
 (49 16 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--SQUEEZE))
 (49 16 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--NOT-0))
 (32 32 (:REWRITE PROOF-CHECKER-ARRAY::NOT-FIELD-MEMBERP-*STACK*-IMPLIES-NOT-EQUAL-FREAD-*LOOKUP*-1))
 (32 32 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-LOOKUP-1))
 (32 32 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-*LOOKUP*-1))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (22 22 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (22 22 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-0))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::EQUAL-FREAD-LOOKUP-1-IMPLIES-FIELD-MEMBERP-*STACK*))
 (12 4 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-FIELD-OFFSETP-NEGATE-2))
 (12 4 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-FIELD-OFFSETP-NEGATE))
 (10 4 (:REWRITE PROOF-CHECKER-ARRAY::FARRAYP-ASSIGN-LIT))
 (9 9 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (9 5 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-ASSIGN-LIT))
 (6 2 (:REWRITE PROOF-CHECKER-ARRAY::FREAD-*STACK-END*-ASSIGN-LIT))
 (6 2 (:REWRITE PROOF-CHECKER-ARRAY::FIELDP-ASSIGN-LIT))
 (3 3 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::CLAUSE-TO-ASSIGNMENT))
 )
(PROOF-CHECKER-ARRAY::APPEND-NIL-2
 (1080 6 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSEP))
 (774 1 (:DEFINITION TRUE-LISTP))
 (582 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-TRUE-LISTP))
 (573 3 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (558 2 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-TRUE-LISTP))
 (513 6 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (480 24 (:DEFINITION MEMBER-EQUAL))
 (450 60 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (357 6 (:DEFINITION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (198 4 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (192 192 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (180 36 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (180 1 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-CDR))
 (126 126 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (111 6 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (82 82 (:REWRITE DEFAULT-CDR))
 (75 25 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (60 60 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (60 60 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (60 60 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (45 45 (:REWRITE DEFAULT-CAR))
 (33 33 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIQUE-LITERALSP))
 (33 33 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (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 27 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (24 24 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (21 21 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FORMULAP))
 (12 12 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (9 2 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-TRUE-LISTP))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (6 3 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (3 3 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::CLAUSEP))
 )
(PROOF-CHECKER-ARRAY::TRUE-LISTP-REVAPPEND)
(PROOF-CHECKER-ARRAY::NEGATE-CLAUSE-EQUIV
 (306 43 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (96 24 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (60 60 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (58 58 (:REWRITE DEFAULT-CDR))
 (43 43 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (43 43 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (43 43 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (37 37 (:REWRITE DEFAULT-CAR))
 (36 12 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (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))
 (20 20 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (16 16 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (10 2 (:DEFINITION REVAPPEND))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (6 2 (:DEFINITION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (6 1 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (3 1 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-TO-ASSIGNMENT))
 (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::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (1 1 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (1 1 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LIT-IN-RANGEP))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::ATP-EQUIV
 (8034 11 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (7976 806 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (7470 42 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (6350 2 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (5623 41 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (4555 9 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (4474 116 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (4430 81 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (3191 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION-ST))
 (2451 3 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (2160 540 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (2077 1 (:REWRITE PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE-EQUIV))
 (1776 840 (:REWRITE DEFAULT-CDR))
 (1636 2 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (1631 30 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (1520 764 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (1337 53 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (1227 50 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (806 806 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (806 806 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (806 806 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (790 204 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (764 764 (:TYPE-PRESCRIPTION REVAPPEND))
 (762 762 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (514 514 (:REWRITE DEFAULT-CAR))
 (484 484 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (380 380 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (380 380 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (380 380 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (380 380 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (306 102 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (304 304 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (304 304 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (249 87 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (200 2 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (154 50 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (152 152 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (133 133 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (118 30 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (98 51 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (87 33 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (59 35 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (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-EVALUATE-CLAUSE-SUBSETP))
 (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))
 (48 2 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (42 42 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (40 4 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (36 10 (:DEFINITION REVAPPEND))
 (34 34 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (34 34 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (34 34 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (29 1 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
 (20 2 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (9 9 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (9 3 (:DEFINITION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (5 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (5 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (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 1 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-TO-ASSIGNMENT))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LIT-IN-RANGEP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ARRAY::CLAUSE-LIST-IN-RANGEP
 (1280 13 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (1266 7 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (846 45 (:DEFINITION MEMBER-EQUAL))
 (814 112 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (324 72 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (216 216 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (154 154 (:REWRITE DEFAULT-CDR))
 (112 112 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (112 112 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (112 112 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (108 36 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (97 97 (:REWRITE DEFAULT-CAR))
 (50 50 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (50 50 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (50 50 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (50 50 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (44 44 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (40 40 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (32 32 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FORMULAP))
 (32 14 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (20 20 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (13 13 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (10 5 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (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 8 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 )
(PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-UNION
 (859 18 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 (662 137 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (491 6 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION))
 (137 137 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (131 131 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (131 131 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (112 111 (:REWRITE DEFAULT-CDR))
 (88 87 (:REWRITE DEFAULT-CAR))
 (33 33 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (13 13 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNION))
 (12 12 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENT-STP))
 )
(PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-REMOVE-LITERAL
 (270 12 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 (156 12 (:DEFINITION MEMBER-EQUAL))
 (134 4 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-REMOVE-LITERAL))
 (122 31 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (95 95 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (41 40 (:REWRITE DEFAULT-CAR))
 (38 37 (:REWRITE DEFAULT-CDR))
 (31 31 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (27 27 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (27 27 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (22 22 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-RESOLUTION
 (83 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNION))
 (65 12 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (65 5 (:DEFINITION MEMBER-EQUAL))
 (48 2 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (45 1 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-REMOVE-LITERAL))
 (38 2 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 (33 33 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (19 16 (:REWRITE DEFAULT-CDR))
 (13 13 (:REWRITE DEFAULT-CAR))
 (13 2 (:DEFINITION PROOF-CHECKER-ARRAY::REMOVE-LITERAL))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (11 11 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (11 11 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (9 9 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::REMOVE-LITERAL))
 (5 5 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LIT-IN-RANGEP))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 )
(PROOF-CHECKER-ARRAY::LIT-IN-RANGEP-UNIT-PROPAGATION-ST
 (100268 17 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (84868 10 (:REWRITE PROOF-CHECKER-ARRAY::IFF-TRUEP-EVALUATE-CLAUSE-CONS))
 (80976 42 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-FIND-UNIT-CLAUSE-SUBSETP))
 (73396 6887 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (59004 684 (:REWRITE PROOF-CHECKER-ARRAY::NOT-SET-DIFFERENCE-VARIABLES-IMPLIES-SUBSET-VARIABLESP))
 (58492 228 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP))
 (56952 684 (:DEFINITION PROOF-CHECKER-ARRAY::SET-DIFFERENCE-VARIABLES))
 (54837 29 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (54492 76 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-AND-SET-EQUAL-VARIABLESP-IMPLIES-SUBSETP))
 (54264 76 (:DEFINITION PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP))
 (37970 38 (:DEFINITION PROOF-CHECKER-ARRAY::SUBSETP))
 (26989 197 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (25202 272 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
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 (14904 80 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
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 (197 197 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (197 197 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (197 197 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
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 (197 197 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
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 (112 8 (:DEFINITION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
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 (80 80 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
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 (76 76 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUAL-VARIABLESP-TRANSITIVE))
 (72 24 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (61 61 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (48 8 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (32 32 (:REWRITE CDR-CONS))
 (29 29 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (18 18 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
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 (16 16 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERAL-LISTP))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
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 (10 2 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGN-LIT-CONS-PROJECT))
 (8 8 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (8 8 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-UNIT-PROPAGATION-ST
 (6212 7 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION-ST))
 (6086 7 (:REWRITE PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE-EQUIV))
 (6079 7 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (6058 7 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (4980 28 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (3388 509 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (1861 7 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (1368 56 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (833 11 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (620 452 (:REWRITE DEFAULT-CDR))
 (600 28 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-NEGATE))
 (574 84 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (509 509 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (509 509 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (509 509 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (504 504 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::PROJECT))
 (490 63 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (337 337 (:REWRITE DEFAULT-CAR))
 (210 28 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (184 184 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (184 184 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (184 184 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (184 184 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (183 43 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (182 11 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP))
 (175 63 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (175 49 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (146 146 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (144 144 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (140 42 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (122 122 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (122 14 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (119 119 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (112 28 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (97 97 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (97 97 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (97 97 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (77 42 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (74 74 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (70 35 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (54 18 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (49 49 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (49 49 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (49 49 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (49 49 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (49 49 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (49 49 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (49 49 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (49 28 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (35 35 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (28 28 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (23 11 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (23 11 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (21 21 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (21 7 (:DEFINITION REVAPPEND))
 (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))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-NOT-EQUAL-NEGATE))
 )
(PROOF-CHECKER-ARRAY::CLAUSE-LIST-IN-RANGEP-UNIT-PROPAGATION-ST
 (9922 49 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (9827 1416 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (9039 72 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (8072 10 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION-ST))
 (7892 10 (:REWRITE PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE-EQUIV))
 (7882 10 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (7852 10 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (6312 40 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (5277 17 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (3693 6 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-CDR))
 (2458 10 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (2155 462 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (1823 1583 (:REWRITE DEFAULT-CDR))
 (1426 1426 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (1416 1416 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1416 1416 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (1416 1416 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
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 (820 120 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (801 267 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (720 720 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::PROJECT))
 (700 90 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (585 585 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (585 585 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (585 585 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (585 585 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (468 468 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
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 (340 44 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (298 298 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (250 90 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (250 70 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (234 234 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (211 15 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP))
 (203 203 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (203 203 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (203 203 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (200 60 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (170 170 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (160 40 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (120 60 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (110 60 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (100 50 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (70 70 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (70 70 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (70 70 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (70 70 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (70 70 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (70 70 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (70 70 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (70 40 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (53 17 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 (50 50 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (42 6 (:REWRITE PROOF-CHECKER-ARRAY::LIT-IN-RANGEP-UNIT-PROPAGATION-ST))
 (40 40 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (30 10 (:DEFINITION REVAPPEND))
 (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))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (17 17 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LIT-IN-RANGEP))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 )
(PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-UNIT-PROPAGATION-ST
 (5492 7 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION-ST))
 (5366 7 (:REWRITE PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE-EQUIV))
 (5359 7 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (5338 7 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (4260 28 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (3495 479 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (1681 7 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (648 56 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (644 476 (:REWRITE DEFAULT-CDR))
 (574 84 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (504 504 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::PROJECT))
 (490 63 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (479 479 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (479 479 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (479 479 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (336 336 (:REWRITE DEFAULT-CAR))
 (293 66 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (240 28 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-NEGATE))
 (195 195 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (195 195 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (195 195 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (195 195 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (194 194 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (192 8 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (175 63 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (175 49 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (173 11 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (156 156 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (156 156 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (140 42 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (124 124 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (119 119 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (112 28 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (99 33 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (95 95 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (95 95 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (95 95 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (78 78 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (77 42 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (70 35 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (49 49 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (49 49 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (49 49 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (49 49 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (49 49 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (49 49 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (49 49 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (49 28 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (35 35 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (31 13 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (28 28 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (26 8 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 (21 21 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (21 7 (:DEFINITION REVAPPEND))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (8 8 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LIT-IN-RANGEP))
 (7 7 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 )
(PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-CLAUSE-TO-ASSIGNMENT-2
 (2439 4 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-AGREES-WITH-STACKP))
 (1533 309 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (1403 8 (:REWRITE PROOF-CHECKER-ARRAY::IFF-FIELD-MEMBERP-MEMBER-PROJECT))
 (1095 12 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (940 8 (:REWRITE PROOF-CHECKER-ARRAY::IFF-ASSIGNEDP-MEMBER-PROJECT))
 (703 46 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 (512 4 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-FIELD-MEMBERP-*STACK*))
 (309 309 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (309 309 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (309 309 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (288 12 (:REWRITE PROOF-CHECKER-ARRAY::LIT-IN-RANGE-NEGATE))
 (256 32 (:DEFINITION SIGNED-BYTE-P))
 (252 61 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (249 225 (:REWRITE DEFAULT-CDR))
 (240 4 (:DEFINITION PROOF-CHECKER-ARRAY::FIELD-MEMBERP))
 (232 16 (:REWRITE DEFAULT-+-2))
 (231 231 (:REWRITE DEFAULT-CAR))
 (224 32 (:DEFINITION INTEGER-RANGE-P))
 (220 68 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (180 24 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (164 164 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (156 12 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-NEGATE))
 (122 14 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (105 105 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (105 105 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (105 105 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (105 105 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (96 96 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::PROJECT))
 (86 6 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-NOT-EQUAL-NEGATE))
 (84 84 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (84 4 (:REWRITE FOLD-CONSTS-IN-+))
 (81 27 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (80 8 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-PROJECT1-IMPLIES-FIELD-MEMBERP))
 (80 8 (:REWRITE PROOF-CHECKER-ARRAY::IFF-FIELD-MEMBERP-MEMBER-PROJECT1))
 (72 72 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (72 72 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (72 72 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (68 68 (:REWRITE DEFAULT-<-2))
 (68 68 (:REWRITE DEFAULT-<-1))
 (56 4 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-SB60P-NEGATE))
 (52 52 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (43 43 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (36 12 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-FREAD))
 (36 12 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (32 8 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-*LOOKUP*-1-****))
 (21 21 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (20 20 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FIELD-OFFSETP))
 (20 20 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FARRAYP))
 (16 16 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNEDP))
 (16 16 (:REWRITE DEFAULT-+-1))
 (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))
 (12 12 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FIELDP))
 (12 4 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--SQUEEZE))
 (12 4 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--NOT-0))
 (12 4 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-TO-ASSIGNMENT))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::NOT-FIELD-MEMBERP-*STACK*-IMPLIES-NOT-EQUAL-FREAD-*LOOKUP*-1))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-LOOKUP-1))
 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-*LOOKUP*-1))
 (4 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FIELD-MEMBERP))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-0))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::EQUAL-FREAD-LOOKUP-1-IMPLIES-FIELD-MEMBERP-*STACK*))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::CLAUSE-LIST-IN-RANGEP-ASSIGN-LIT
 (8397 57 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (8339 34 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (5532 786 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (4725 12 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (3423 6 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-CDR))
 (2020 432 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (1336 1336 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (1028 1028 (:REWRITE DEFAULT-CDR))
 (786 786 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (786 786 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (786 786 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (756 252 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (637 637 (:REWRITE DEFAULT-CAR))
 (360 360 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (360 360 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (360 360 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (360 360 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (288 288 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (288 288 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (266 14 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (216 216 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FORMULAP))
 (144 144 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (90 45 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (83 83 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (83 83 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (83 83 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (63 63 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (53 17 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 (42 6 (:REWRITE PROOF-CHECKER-ARRAY::LIT-IN-RANGEP-ASSIGN-LIT))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-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))
 )
(PROOF-CHECKER-ARRAY::CLAUSE-LIST-IN-RANGEP-CLAUSE-TO-ASSIGNMENT
 (9171 57 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (9113 34 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (7679 1252 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (6495 17 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (3747 6 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-CDR))
 (2984 5 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-AGREES-WITH-STACKP))
 (2385 522 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (1689 10 (:REWRITE PROOF-CHECKER-ARRAY::IFF-FIELD-MEMBERP-MEMBER-PROJECT))
 (1566 1566 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (1400 1370 (:REWRITE DEFAULT-CDR))
 (1304 15 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (1252 1252 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1252 1252 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (1252 1252 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (1206 6 (:REWRITE PROOF-CHECKER-ARRAY::LIT-IN-RANGEP-CLAUSE-TO-ASSIGNMENT))
 (1175 10 (:REWRITE PROOF-CHECKER-ARRAY::IFF-ASSIGNEDP-MEMBER-PROJECT))
 (959 959 (:REWRITE DEFAULT-CAR))
 (891 297 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (740 62 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 (640 5 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-FIELD-MEMBERP-*STACK*))
 (489 489 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (489 489 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (489 489 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (489 489 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (392 392 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (360 15 (:REWRITE PROOF-CHECKER-ARRAY::LIT-IN-RANGE-NEGATE))
 (358 358 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (320 40 (:DEFINITION SIGNED-BYTE-P))
 (300 5 (:DEFINITION PROOF-CHECKER-ARRAY::FIELD-MEMBERP))
 (290 20 (:REWRITE DEFAULT-+-2))
 (280 40 (:DEFINITION INTEGER-RANGE-P))
 (275 85 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (225 30 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (216 216 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FORMULAP))
 (198 198 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (196 196 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (195 15 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-NEGATE))
 (163 163 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (163 163 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (163 163 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (120 120 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::PROJECT))
 (105 5 (:REWRITE FOLD-CONSTS-IN-+))
 (100 10 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-PROJECT1-IMPLIES-FIELD-MEMBERP))
 (100 10 (:REWRITE PROOF-CHECKER-ARRAY::IFF-FIELD-MEMBERP-MEMBER-PROJECT1))
 (91 5 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-NOT-EQUAL-NEGATE))
 (90 45 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (85 85 (:TYPE-PRESCRIPTION SIGNED-BYTE-P))
 (85 85 (:REWRITE DEFAULT-<-2))
 (85 85 (:REWRITE DEFAULT-<-1))
 (73 73 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (70 5 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-SB60P-NEGATE))
 (62 62 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LIT-IN-RANGEP))
 (45 15 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-FREAD))
 (45 15 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (40 10 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-*LOOKUP*-1-****))
 (34 34 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (30 10 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-TO-ASSIGNMENT))
 (25 25 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FIELD-OFFSETP))
 (25 25 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FARRAYP))
 (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))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (20 20 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNEDP))
 (20 20 (:REWRITE DEFAULT-+-1))
 (15 15 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FIELDP))
 (15 5 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--SQUEEZE))
 (15 5 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--NOT-0))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::NOT-FIELD-MEMBERP-*STACK*-IMPLIES-NOT-EQUAL-FREAD-*LOOKUP*-1))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-LOOKUP-1))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-EQUAL-FREAD-*LOOKUP*-1))
 (5 5 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FIELD-MEMBERP))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-0))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::EQUAL-FREAD-LOOKUP-1-IMPLIES-FIELD-MEMBERP-*STACK*))
 )
(PROOF-CHECKER-ARRAY::CLAUSE-LIST-IN-RANGEP-UNASSIGN-ALL
 (8397 57 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (8339 34 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (5460 750 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (4725 12 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (3423 6 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-CDR))
 (2020 432 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (1336 1336 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (1010 1010 (:REWRITE DEFAULT-CDR))
 (756 252 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (750 750 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (750 750 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (750 750 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (619 619 (:REWRITE DEFAULT-CAR))
 (360 360 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (360 360 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (360 360 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (360 360 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (288 288 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (288 288 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (216 216 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FORMULAP))
 (144 144 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (133 133 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LITERALP))
 (90 45 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (78 78 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (78 78 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (78 78 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (63 63 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (42 6 (:REWRITE PROOF-CHECKER-ARRAY::LIT-IN-RANGEP-UNASSIGN-ALL))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-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))
 (14 14 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (12 12 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LIT-IN-RANGEP))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::RATP1-ST
 (45006 47 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (40156 184 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (38228 27 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION-ST))
 (33275 5884 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (32123 31 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (30379 27 (:REWRITE PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE-EQUIV))
 (18286 43 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (13500 761 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (13163 207 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (12355 593 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (11940 445 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (10965 3 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (9744 11 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA-ST))
 (7244 572 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (7028 4172 (:REWRITE DEFAULT-CDR))
 (6364 136 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (6131 249 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (5884 5884 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (5884 5884 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (5884 5884 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (5467 45 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (4320 1080 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (4192 2104 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (4002 21 (:REWRITE PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE-EQUIV))
 (3979 190 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (3784 4 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (3683 281 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (3403 3403 (:REWRITE DEFAULT-CAR))
 (3153 270 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (2274 10 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE-ST))
 (2116 2116 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (2104 2104 (:TYPE-PRESCRIPTION REVAPPEND))
 (1935 90 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (1720 68 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-NEGATE))
 (1396 1396 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (1396 1396 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (1396 1396 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (1396 1396 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (1224 1224 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::PROJECT))
 (1159 467 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (872 872 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (866 10 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL-ST))
 (848 270 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (691 691 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (678 190 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (650 20 (:REWRITE PROOF-CHECKER-ARRAY::IFF-ASSIGNEDP-MEMBER-PROJECT))
 (619 10 (:REWRITE PROOF-CHECKER-ARRAY::EVALUATE-LITERAL-EQUIV))
 (616 4 (:DEFINITION TRUE-LISTP))
 (480 245 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (432 96 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (409 9 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-TRUE-LISTP))
 (401 181 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (376 48 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-CDR))
 (310 310 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (281 281 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (281 281 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (281 281 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (281 281 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (281 281 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (281 281 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (281 281 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (249 249 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (249 249 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (225 167 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (187 53 (:DEFINITION REVAPPEND))
 (184 184 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (156 52 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (135 27 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-TO-ASSIGNMENT))
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 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
 (7 3 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (6 2 (:DEFINITION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (3 3 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LIT-IN-RANGEP))
 (3 1 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-TO-ASSIGNMENT))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MV-NTH-1-ATP-ST
 (4776 6 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (4433 23 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (3415 1 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (3232 106 (:DEFINITION MEMBER-EQUAL))
 (3187 304 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (3038 23 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (2580 5 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (2438 64 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (2410 45 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (1762 2 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (1080 270 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (931 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION-ST))
 (909 1 (:REWRITE PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE-EQUIV))
 (883 17 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (882 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (834 834 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (832 418 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (739 235 (:REWRITE DEFAULT-CDR))
 (729 30 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (667 28 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (418 418 (:TYPE-PRESCRIPTION REVAPPEND))
 (418 418 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (414 46 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (304 304 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (304 304 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (304 304 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (151 151 (:REWRITE DEFAULT-CAR))
 (150 6 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (137 48 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (130 2 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP))
 (126 3 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (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))
 (115 115 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (92 92 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (92 92 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (87 28 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (75 75 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (75 3 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (67 17 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (67 3 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (54 28 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (39 3 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 (31 19 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (23 23 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (22 6 (:DEFINITION REVAPPEND))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
 (9 3 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (9 3 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (6 2 (:DEFINITION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (3 3 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LIT-IN-RANGEP))
 (3 1 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-TO-ASSIGNMENT))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ARRAY::RATP1-EQUIV
 (8024 1980 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (5395 316 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (2594 178 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (1980 1980 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1980 1980 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (1980 1980 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (1849 86 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (1503 1503 (:REWRITE DEFAULT-CDR))
 (1317 1317 (:REWRITE DEFAULT-CAR))
 (466 16 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (445 445 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (445 445 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (445 445 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (445 445 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (387 86 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (258 258 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (178 178 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (129 43 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (86 86 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (86 86 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::RATP-ST
 (476 40 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (270 135 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (263 19 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (190 10 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (135 135 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (135 135 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (135 135 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (120 120 (:REWRITE DEFAULT-CAR))
 (102 102 (:REWRITE DEFAULT-CDR))
 (16 4 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSE-LISTP
 (23 5 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (11 1 (:DEFINITION MEMBER-EQUAL))
 (10 10 (:REWRITE DEFAULT-CAR))
 (8 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (7 7 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (5 5 (:REWRITE DEFAULT-CDR))
 (4 2 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 )
(PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-IMPLIES-CLAUSE-LIST-IN-RANGEP
 (198 22 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (93 15 (:DEFINITION MEMBER-EQUAL))
 (65 65 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (44 22 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (41 11 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 (37 37 (:REWRITE DEFAULT-CAR))
 (22 22 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (22 22 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (22 22 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (22 22 (:REWRITE DEFAULT-CDR))
 (16 16 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENT-STP))
 )
(PROOF-CHECKER-ARRAY::RATP-EQUIV
 (12572 16 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (11851 61 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (10563 3 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (9368 2 (:DEFINITION PROOF-CHECKER-ARRAY::RATP1))
 (9104 59 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (9048 298 (:DEFINITION MEMBER-EQUAL))
 (8888 2 (:DEFINITION PROOF-CHECKER-ARRAY::ATP))
 (8842 840 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (7337 172 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (7202 13 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (7106 117 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (6112 1 (:DEFINITION PROOF-CHECKER-ARRAY::RATP1-ST))
 (5872 1 (:DEFINITION PROOF-CHECKER-ARRAY::ATP-ST))
 (4753 1 (:REWRITE PROOF-CHECKER-ARRAY::EVALUATE-FORMULA-EQUIV))
 (3524 4 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (3336 834 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (2646 3 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (2623 45 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (2270 2270 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (2256 1134 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (2137 76 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (1989 621 (:REWRITE DEFAULT-CDR))
 (1979 72 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (1260 140 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (1134 1134 (:TYPE-PRESCRIPTION REVAPPEND))
 (1130 1130 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (1093 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION-ST))
 (1000 1 (:REWRITE PROOF-CHECKER-ARRAY::UNIT-PROPAGATION-EQUIV))
 (999 1 (:REWRITE PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE-EQUIV))
 (840 840 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (840 840 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (840 840 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (506 126 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (447 3 (:DEFINITION PROOF-CHECKER-ARRAY::TAUTOLOGYP))
 (403 403 (:REWRITE DEFAULT-CAR))
 (394 76 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (357 3 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (347 347 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (347 347 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (347 347 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (347 347 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (330 24 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-RESOLUTION))
 (280 280 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (270 6 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-CLAUSE-TO-ASSIGNMENT))
 (256 256 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (256 28 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (221 72 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (215 5 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENT-STP-CLAUSE-TO-ASSIGNMENT))
 (191 191 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (187 11 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-AGREES-WITH-STACKP-UNASSIGN-ALL))
 (167 45 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (154 22 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-UNASSIGN-ALL))
 (148 74 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (137 1 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-UNIT-PROPAGATION-ST))
 (129 6 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (91 1 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENT-STP-UNIT-PROPAGATION-ST))
 (89 53 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (76 76 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (76 76 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (76 76 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (76 76 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (76 76 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (76 76 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (72 24 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-RESOLUTION))
 (61 61 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (54 2 (:REWRITE PROOF-CHECKER-ARRAY::NEGATE-CLAUSE-EQUIV))
 (50 14 (:DEFINITION REVAPPEND))
 (48 2 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (40 40 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
 (40 37 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (39 3 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 (34 34 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::RESOLUTION))
 (29 1 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP))
 (27 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (22 22 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (20 4 (:DEFINITION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (20 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (19 1 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (18 18 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (18 2 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (13 13 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (11 11 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::CLAUSE-AGREES-WITH-STACKP))
 (11 11 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENT-STP-UNASSIGN-ALL))
 (9 3 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (6 6 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (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::FORMULA-IN-RANGEP-UNASSIGN-ALL))
 (5 2 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (5 1 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-TO-ASSIGNMENT))
 (3 3 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 )
(PROOF-CHECKER-ARRAY::VERIFY-CLAUSE-ST
 (4776 6 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (4433 23 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (3415 1 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (3167 294 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (3038 23 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (2580 5 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (2438 64 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (2410 45 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (1762 2 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (1080 270 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (931 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION-ST))
 (909 1 (:REWRITE PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE-EQUIV))
 (883 17 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (882 1 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (832 418 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (729 225 (:REWRITE DEFAULT-CDR))
 (729 30 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (667 28 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (418 418 (:TYPE-PRESCRIPTION REVAPPEND))
 (418 418 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (414 46 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (294 294 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (294 294 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (294 294 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (148 148 (:REWRITE DEFAULT-CAR))
 (137 48 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (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))
 (115 115 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (92 92 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (92 92 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (87 28 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (75 75 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (67 17 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (61 3 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (56 6 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (54 28 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (47 4 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (31 19 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (30 30 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (23 23 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (22 6 (:DEFINITION REVAPPEND))
 (12 12 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (6 2 (:DEFINITION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (5 5 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (3 1 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-TO-ASSIGNMENT))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ARRAY::VERIFY-CLAUSE-ST-EQUIV
 (38594 49 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (36277 187 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (31265 9 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (27317 182 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (26592 2513 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (21875 40 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (21861 524 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (21370 360 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (18126 2 (:DEFINITION PROOF-CHECKER-ARRAY::RATP1-ST))
 (13929 3 (:DEFINITION PROOF-CHECKER-ARRAY::RATP1))
 (11453 13 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (9880 2470 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (7938 9 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (7879 137 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (6848 3442 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (6436 235 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (6256 4 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION-ST))
 (5988 1812 (:REWRITE DEFAULT-CDR))
 (5949 223 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (5012 4 (:REWRITE PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE-EQUIV))
 (3636 404 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (3442 3442 (:TYPE-PRESCRIPTION REVAPPEND))
 (3432 3432 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (3148 48 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-RESOLUTION))
 (2513 2513 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (2513 2513 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (2513 2513 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (1334 386 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (1300 100 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-RESOLUTION))
 (1253 1253 (:REWRITE DEFAULT-CAR))
 (1005 1005 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (1005 1005 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (1005 1005 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (1005 1005 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (808 808 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (768 768 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (765 235 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (684 223 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (590 590 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (540 5 (:DEFINITION PROOF-CHECKER-ARRAY::TAUTOLOGYP))
 (512 137 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (512 56 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (500 5 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (450 226 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (269 161 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (235 235 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (235 235 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (235 235 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (235 235 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (235 235 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (235 235 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (226 220 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (187 187 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (158 44 (:DEFINITION REVAPPEND))
 (116 116 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
 (96 4 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (62 62 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (58 2 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP))
 (53 13 (:DEFINITION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (46 6 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (45 10 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (40 40 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (40 4 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (36 36 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (33 33 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::RESOLUTION))
 (30 30 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (16 4 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-TO-ASSIGNMENT))
 (15 5 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (12 6 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (10 10 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (10 10 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (9 9 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 )
(PROOF-CHECKER-ARRAY::ASSIGNMENT-STP-MV-NTH-1-RATP1-ST
 (136684 148 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (125277 573 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (94525 14284 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (79637 55 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION-ST))
 (74676 72 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (64091 129 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (63315 55 (:REWRITE PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE-EQUIV))
 (62736 607 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (59110 16 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (51636 1305 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (32373 28 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA-ST))
 (28952 1629 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (22426 1450 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (20723 10247 (:REWRITE DEFAULT-CDR))
 (18460 517 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (18360 4590 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (16600 8338 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (16082 17 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (15739 808 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (14284 14284 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (14284 14284 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (14284 14284 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (14202 795 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (13424 53 (:REWRITE PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE-EQUIV))
 (13315 433 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (13222 228 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (8364 8364 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (8338 8338 (:TYPE-PRESCRIPTION REVAPPEND))
 (8088 25 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE-ST))
 (7928 7928 (:REWRITE DEFAULT-CAR))
 (7144 77 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSE-LISTP))
 (3570 1386 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (3551 3551 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (3551 3551 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (3551 3551 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (3551 3551 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (3396 122 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-NEGATE))
 (3365 25 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL-ST))
 (2448 2448 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (2052 2052 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::PROJECT))
 (2003 2003 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (1875 517 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (1866 50 (:REWRITE PROOF-CHECKER-ARRAY::IFF-ASSIGNEDP-MEMBER-PROJECT))
 (1711 25 (:REWRITE PROOF-CHECKER-ARRAY::EVALUATE-LITERAL-EQUIV))
 (1634 76 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (1116 50 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-ASSIGNEDP))
 (1056 94 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-CDR))
 (808 808 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (808 808 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (808 808 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (808 808 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (808 808 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (808 808 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (808 808 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (764 511 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (644 28 (:DEFINITION SIGNED-BYTE-P))
 (616 28 (:DEFINITION INTEGER-RANGE-P))
 (585 161 (:DEFINITION REVAPPEND))
 (573 573 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (476 4 (:DEFINITION PROOF-CHECKER-ARRAY::FIELD-MEMBERP))
 (433 433 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (433 433 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (381 21 (:REWRITE PROOF-CHECKER-ARRAY::NEGATE-CLAUSE-EQUIV-1))
 (342 76 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (320 20 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-IMPLIES-<-NEGATE))
 (311 311 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (300 8 (:REWRITE PROOF-CHECKER-ARRAY::IFF-FIELD-MEMBERP-MEMBER-PROJECT1))
 (275 55 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-TO-ASSIGNMENT))
 (255 51 (:DEFINITION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (252 8 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-PROJECT1-IMPLIES-FIELD-MEMBERP))
 (228 228 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (156 12 (:REWRITE DEFAULT-+-2))
 (154 50 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-PROJECT-IMPLIES-ASSIGNEDP))
 (154 50 (:REWRITE PROOF-CHECKER-ARRAY::EQUAL-ASSIGNEDP-FIELD-MEMBERP-*STACK*))
 (140 42 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-TYPES))
 (138 4 (:REWRITE PROOF-CHECKER-ARRAY::IFF-FIELD-MEMBERP-MEMBER-PROJECT))
 (129 129 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (120 16 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (114 38 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (92 92 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (84 4 (:REWRITE FOLD-CONSTS-IN-+))
 (80 60 (:REWRITE DEFAULT-<-1))
 (76 76 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (76 76 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (70 10 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-IMPLIES-SB60P-NEGATE))
 (64 64 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (60 60 (:REWRITE DEFAULT-<-2))
 (50 50 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNEDP))
 (36 4 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-FIELD-MEMBERP-*STACK*))
 (24 24 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FIELD-OFFSETP))
 (24 8 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-FREAD))
 (24 8 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (20 20 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FIELD-MEMBERP))
 (16 16 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FIELDP))
 (16 16 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FARRAYP))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (12 12 (:REWRITE DEFAULT-+-1))
 (12 4 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--SQUEEZE))
 (12 4 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-1--NOT-0))
 (12 3 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-UNIT-PROPAGATION))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-0))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::EQUAL-FREAD-LOOKUP-1-IMPLIES-FIELD-MEMBERP-*STACK*))
 )
(PROOF-CHECKER-ARRAY::LIT-IN-RANGEP-MV-NTH-1-RATP1-ST
 (170622 188 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (157852 725 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (117955 17113 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (89086 751 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (88665 24 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (84087 161 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (83048 56 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION-ST))
 (82392 80 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (71811 1568 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (64789 56 (:REWRITE PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE-EQUIV))
 (34246 23 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA-ST))
 (31045 1742 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (27733 1789 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (26009 601 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (25920 6480 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (25647 12033 (:REWRITE DEFAULT-CDR))
 (22704 24 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (21818 992 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (21420 10764 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (19877 961 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (17113 17113 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (17113 17113 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (17113 17113 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (15151 504 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-MEMBER))
 (14951 266 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (14236 43 (:REWRITE PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE-EQUIV))
 (10772 10772 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (10764 10764 (:TYPE-PRESCRIPTION REVAPPEND))
 (9234 20 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE-ST))
 (9140 9140 (:REWRITE DEFAULT-CAR))
 (7335 79 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSE-LISTP))
 (4416 1668 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (4389 4389 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (4389 4389 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (4389 4389 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (4389 4389 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (3852 141 (:REWRITE PROOF-CHECKER-ARRAY::LITERALP-NEGATE))
 (3784 20 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL-ST))
 (3528 84 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (3072 3072 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (2467 2467 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (2394 2394 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::PROJECT))
 (2276 40 (:REWRITE PROOF-CHECKER-ARRAY::IFF-ASSIGNEDP-MEMBER-PROJECT))
 (2238 601 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (2117 20 (:REWRITE PROOF-CHECKER-ARRAY::EVALUATE-LITERAL-EQUIV))
 (1124 40 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-MEMBERP-*STACK*-IMPLIES-ASSIGNEDP))
 (992 992 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (992 992 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (992 992 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (992 992 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (992 992 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (992 992 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (992 992 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (983 639 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (725 725 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (711 98 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-CDR))
 (692 192 (:DEFINITION REVAPPEND))
 (644 28 (:DEFINITION SIGNED-BYTE-P))
 (616 28 (:DEFINITION INTEGER-RANGE-P))
 (504 504 (:REWRITE PROOF-CHECKER-ARRAY::FIELD-OFFSETP-IMPLIES-LITERALP))
 (504 504 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-LITERALP-MEMBER))
 (476 4 (:DEFINITION PROOF-CHECKER-ARRAY::FIELD-MEMBERP))
 (431 22 (:REWRITE PROOF-CHECKER-ARRAY::NEGATE-CLAUSE-EQUIV-1))
 (378 84 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (363 363 (:REWRITE PROOF-CHECKER-ARRAY::LITERAL-LISTP-IMPLIES-LITERALP-MEMBER))
 (320 20 (:REWRITE PROOF-CHECKER-ARRAY::EVENP-IMPLIES-<-NEGATE))
 (300 8 (:REWRITE PROOF-CHECKER-ARRAY::IFF-FIELD-MEMBERP-MEMBER-PROJECT1))
 (290 58 (:DEFINITION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (280 56 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-TO-ASSIGNMENT))
 (252 252 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (252 8 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-PROJECT1-IMPLIES-FIELD-MEMBERP))
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 (135 135 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
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 (120 16 (:REWRITE PROOF-CHECKER-ARRAY::INTEGERP-TYPES))
 (101 101 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (84 84 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (84 84 (:REWRITE PROOF-CHECKER-ARRAY::NOT-NO-CONFLICTING-LITERALSP))
 (84 4 (:REWRITE FOLD-CONSTS-IN-+))
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 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (24 8 (:REWRITE PROOF-CHECKER-ARRAY::SB60P-FREAD))
 (24 8 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (20 20 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FIELD-MEMBERP))
 (16 16 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FIELDP))
 (16 16 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::FARRAYP))
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 (12 3 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-UNIT-PROPAGATION))
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 )
(PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MV-NTH-1-RATP1-ST
 (20195 7 (:DEFINITION PROOF-CHECKER-ARRAY::RATP1-ST))
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 (10395 7 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (10374 7 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (9296 28 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (6515 1791 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (5360 292 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (4788 56 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNEDP-IMPLIES-MEMBER-PROJECT))
 (4319 84 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSEP-RESOLUTION))
 (4018 49 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENT-STP-CLAUSE-TO-ASSIGNMENT))
 (3619 91 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENT-STP-UNIT-PROPAGATION-ST))
 (3535 7 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA-ST))
 (3102 109 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (3043 22 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP))
 (2940 7 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (2873 219 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
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 (2184 7 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE-ST))
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 (1791 1791 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (1791 1791 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
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 (1008 10 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-IMPLIES-CLAUSE-LIST-IN-RANGEP))
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 (833 7 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL-ST))
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 (318 318 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (318 318 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
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 (224 224 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::RESOLUTION))
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 )
(PROOF-CHECKER-ARRAY::CLAUSE-LIST-IN-RANGEP-MV-NTH-1-RATP1-ST
 (28967 11 (:DEFINITION PROOF-CHECKER-ARRAY::RATP1-ST))
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 (13791 11 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (13758 11 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (12064 44 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (10284 556 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
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 (8835 8835 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
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 (6276 439 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (5687 143 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENT-STP-UNIT-PROPAGATION-ST))
 (5555 11 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA-ST))
 (5432 74 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
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 (450 450 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
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 )
(PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MV-NTH-1-RATP1-ST
 (21755 7 (:DEFINITION PROOF-CHECKER-ARRAY::RATP1-ST))
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(PROOF-CHECKER-ARRAY::ASSIGNMENT-STP-MV-NTH-1-RATP-ST
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(PROOF-CHECKER-ARRAY::LIT-IN-RANGEP-MV-NTH-1-RATP-ST
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(PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MV-NTH-1-RATP-ST
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(PROOF-CHECKER-ARRAY::CLAUSE-LIST-IN-RANGEP-MV-NTH-1-RATP-ST
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(PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MV-NTH-1-RATP-ST
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(PROOF-CHECKER-ARRAY::ASSIGNMENT-STP-MV-NTH-1-VERIFY-CLAUSE-ST
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 (351 351 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (351 351 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (351 351 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (351 351 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
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 (283 91 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (282 282 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
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 (187 90 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
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 (97 97 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
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(PROOF-CHECKER-ARRAY::VERIFY-PROOF-ST
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 (18572 4 (:DEFINITION PROOF-CHECKER-ARRAY::RATP1))
 (18488 32 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
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 (7048 8 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (6960 112 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
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 (5568 2800 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
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 (3912 41 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-IMPLIES-CLAUSE-LIST-IN-RANGEP))
 (2952 328 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
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 (2800 2800 (:TYPE-PRESCRIPTION REVAPPEND))
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 (184 184 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
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 (8 8 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-AND-MEMBER-NEGATE-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 )
(PROOF-CHECKER-ARRAY::VERIFY-PROOF-ST-EQUIV
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 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::EXISTS-SOLUTION-AND-RATP-AND-TRUEP-IMPLIES-EXISTS-SOLUTION))
 )
(PROOF-CHECKER-ARRAY::PROOFP-ST)
(PROOF-CHECKER-ARRAY::PROOFP-ST-EQUIV
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 (76 76 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (60 1 (:DEFINITION PROOF-CHECKER-ARRAY::VERIFY-PROOF-ST))
 (56 56 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
 (56 16 (:DEFINITION REVAPPEND))
 (56 1 (:REWRITE PROOF-CHECKER-ARRAY::VERIFY-CLAUSE-ST-EQUIV))
 (43 7 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 (32 32 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (18 4 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (16 16 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (16 4 (:DEFINITION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (12 12 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (11 11 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LIT-IN-RANGEP))
 (10 10 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::RESOLUTION))
 (6 2 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (4 4 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (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))
 (2 2 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::RATP1))
 )
(PROOF-CHECKER-ARRAY::REFUTATIONP-ST)
(PROOF-CHECKER-ARRAY::REFUTATIONP-ST-EQUIV
 (21660 30 (:DEFINITION PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE))
 (20430 114 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-LITERAL))
 (19320 6 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-FORMULA))
 (16854 108 (:REWRITE PROOF-CHECKER-ARRAY::IS-UNIT-CLAUSE-IMPLIES-UNDEFP-EVALUATE-CLAUSE))
 (15297 1353 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (13395 324 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-UNDEF))
 (13128 216 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-FALSE-NOT-UNDEF))
 (12906 24 (:DEFINITION PROOF-CHECKER-ARRAY::EVALUATE-CLAUSE))
 (12873 3 (:DEFINITION PROOF-CHECKER-ARRAY::RATP1))
 (6576 1644 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (4908 6 (:DEFINITION PROOF-CHECKER-ARRAY::UNIT-PROPAGATION))
 (4902 6 (:DEFINITION PROOF-CHECKER-ARRAY::FIND-UNIT-CLAUSE))
 (4836 84 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-FALSEP))
 (4176 2100 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (3936 138 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EC-REV-IMPLIES-TRUEP-EC))
 (3847 1255 (:REWRITE DEFAULT-CDR))
 (3648 132 (:REWRITE PROOF-CHECKER-ARRAY::UNDEFP-IMPLIES-NOT-TRUEP))
 (2100 2100 (:TYPE-PRESCRIPTION REVAPPEND))
 (2088 2088 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (1646 54 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (1353 1353 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (1353 1353 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (1353 1353 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (1217 65 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (1217 20 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSE-LISTP))
 (900 79 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (818 818 (:REWRITE DEFAULT-CAR))
 (804 6 (:REWRITE PROOF-CHECKER-ARRAY::VERIFY-PROOF-INDUCTION))
 (765 234 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-NOT-TRUE-NOT-FALSE))
 (654 65 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (612 612 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-IMPLIES-MEMBER-OR-MEMBER-NEGATE))
 (612 612 (:REWRITE PROOF-CHECKER-ARRAY::NOT-IS-UNIT-CLAUSE-LITERAL-IMPLIES-MEMBER-NEGATE))
 (612 612 (:REWRITE PROOF-CHECKER-ARRAY::NOT-EQUAL-UNIT-LITERAL-IMPLIES-MEMBER-NEGATE))
 (612 612 (:REWRITE PROOF-CHECKER-ARRAY::CONFLICTING-LITERAL-AND-FALSE-EC-IMPLIES-MEMBER-NEGATE))
 (603 6 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTION-AND-MEMBER-NIL-IMPLIES-NOT-VERIFY-PROOF))
 (492 492 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NEGATE))
 (474 474 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (408 138 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-BOTH-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (402 132 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-TRUEP))
 (348 348 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-CLAUSE))
 (300 84 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-FALSEP))
 (282 138 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-IMPLIES-NOT-UNDEFP))
 (276 3 (:DEFINITION PROOF-CHECKER-ARRAY::TAUTOLOGYP))
 (268 4 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-IMPLIES-CLAUSE-LIST-IN-RANGEP))
 (267 5 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP))
 (252 3 (:DEFINITION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (246 246 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-RESOLUTION-IMPLIES-NOT-EQUAL-NEGATE))
 (230 14 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (202 7 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (174 102 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-IMPLIES-NOT-UNDEFP))
 (138 138 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-AND-MEMBER-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (138 138 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-CLAUSE-SUBSETP))
 (138 138 (:REWRITE PROOF-CHECKER-ARRAY::SOLUTIONP-AND-ATP-IMPLIES-TRUEP-EVALUATE-CLAUSE))
 (138 138 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-SUBSETP))
 (138 138 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-REV-NC-IMPLIES-TRUEP-EC))
 (138 138 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EF-UP-NC-IMPLIES-TRUEP-EC))
 (114 114 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-LITERAL))
 (84 84 (:REWRITE PROOF-CHECKER-ARRAY::TERNARYP-EVALUATE-FORMULA))
 (84 24 (:DEFINITION REVAPPEND))
 (60 1 (:DEFINITION PROOF-CHECKER-ARRAY::VERIFY-PROOF-ST))
 (56 1 (:REWRITE PROOF-CHECKER-ARRAY::VERIFY-CLAUSE-ST-EQUIV))
 (48 48 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-FORMULA-SUBSETP))
 (43 7 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 (27 6 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CONJUNCTION))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::TRUEP-EVALUATE-FORMULA-SUBSETP))
 (24 24 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-CLAUSE))
 (24 6 (:DEFINITION PROOF-CHECKER-ARRAY::NEGATE-CLAUSE))
 (18 18 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::ASSIGNMENTP))
 (15 15 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::RESOLUTION))
 (11 11 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LIT-IN-RANGEP))
 (9 3 (:REWRITE PROOF-CHECKER-ARRAY::ASSIGNMENTP-CDR))
 (6 6 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::NO-CONFLICTING-LITERALSP))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::SUBSET-VARIABLESP-NOT-SUBSETP-IMPLIES-NOT-NO-CONFLICTING-LITERALSP))
 (6 6 (:REWRITE PROOF-CHECKER-ARRAY::SET-EQUALP-IMPLIES-EQUAL-EVALUATE-FORMULA))
 (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))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::EXISTS-SOLUTION-IMPLIES-NOT-REFUTATIONP))
 )
(PROOF-CHECKER-ARRAY::EXISTS-SOLUTION-IMPLIES-NOT-REFUTATIONP-ST
 (496 44 (:DEFINITION MEMBER-EQUAL))
 (457 16 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (406 8 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP))
 (402 6 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-IMPLIES-CLAUSE-LIST-IN-RANGEP))
 (363 21 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (346 22 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (306 11 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (303 6 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSE-LISTP))
 (220 90 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (196 21 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (129 19 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (120 2 (:DEFINITION PROOF-CHECKER-ARRAY::VERIFY-PROOF-ST))
 (112 2 (:REWRITE PROOF-CHECKER-ARRAY::VERIFY-CLAUSE-ST-EQUIV))
 (91 91 (:REWRITE DEFAULT-CDR))
 (90 90 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (90 90 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (90 90 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (89 89 (:REWRITE DEFAULT-CAR))
 (65 11 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 (17 17 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LIT-IN-RANGEP))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::REFUTATIONP-IMPLIES-NOT-EXISTS-SOLUTION))
 (2 2 (:REWRITE PROOF-CHECKER-ARRAY::MAIN-THEOREM))
 )
(PROOF-CHECKER-ARRAY::EXISTS-SOLUTION-IMPLIES-NOT-REFUTATIONP-ST-CONTRAPOSITIVE
 (496 44 (:DEFINITION MEMBER-EQUAL))
 (457 16 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULAP))
 (406 8 (:DEFINITION PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP))
 (402 6 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-IMPLIES-CLAUSE-LIST-IN-RANGEP))
 (363 21 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-MEMBER))
 (346 22 (:REWRITE PROOF-CHECKER-ARRAY::FORMULA-IN-RANGEP-MEMBER))
 (306 11 (:DEFINITION PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP))
 (303 6 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSE-LISTP))
 (220 90 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-CDR))
 (196 21 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-IMPLIES-CLAUSEP-CAR))
 (129 19 (:REWRITE PROOF-CHECKER-ARRAY::FORMULAP-CDR))
 (120 2 (:DEFINITION PROOF-CHECKER-ARRAY::VERIFY-PROOF-ST))
 (112 2 (:REWRITE PROOF-CHECKER-ARRAY::VERIFY-CLAUSE-ST-EQUIV))
 (91 91 (:REWRITE DEFAULT-CDR))
 (90 90 (:REWRITE PROOF-CHECKER-ARRAY::SUBSETP-MEMBER-IMPLIES-MEMBER))
 (90 90 (:REWRITE PROOF-CHECKER-ARRAY::NOT-MEMBER-AND-MEMBER-RESOLUTION-IMPLIES-MEMBER))
 (90 90 (:REWRITE PROOF-CHECKER-ARRAY::MEMBER-UNION-VARIABLES1))
 (89 89 (:REWRITE DEFAULT-CAR))
 (65 11 (:REWRITE PROOF-CHECKER-ARRAY::CLAUSE-IN-RANGEP-MEMBER))
 (17 17 (:TYPE-PRESCRIPTION PROOF-CHECKER-ARRAY::LIT-IN-RANGEP))
 (4 4 (:REWRITE PROOF-CHECKER-ARRAY::FALSEP-EVALUATE-CLAUSE-AND-MEMBER-IMPLIES-NOT-MEMBER))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::REFUTATIONP-IMPLIES-NOT-EXISTS-SOLUTION))
 (1 1 (:REWRITE PROOF-CHECKER-ARRAY::MAIN-THEOREM))
 )