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 (1 1 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (1 1 (:REWRITE REDUCE-INTEGERP-+))
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 (1 1 (:REWRITE INTEGERP-MINUS-X))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE |(< (- x) 0)|))
 (1 1 (:REWRITE |(< (- x) (- y))|))
 (1 1 (:META META-INTEGERP-CORRECT))
 )
(ADE::GCD-BODY2$INS-LEN)
(ADE::GCD-BODY2*)
(ADE::GCD-BODY2*$DESTRUCTURE
 (586 47 (:DEFINITION BINARY-APPEND))
 (436 94 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (120 12 (:REWRITE REV-WHEN-NOT-CONSP))
 (100 10 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (78 24 (:REWRITE CONSP-OF-REV))
 (75 57 (:REWRITE DEFAULT-CDR))
 (70 52 (:REWRITE DEFAULT-CAR))
 (60 60 (:TYPE-PRESCRIPTION REV))
 (60 60 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (60 60 (:REWRITE DEFAULT-*-2))
 (60 60 (:REWRITE DEFAULT-*-1))
 (6 6 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (6 6 (:REWRITE NORMALIZE-ADDENDS))
 (6 6 (:REWRITE DEFAULT-+-2))
 (6 6 (:REWRITE DEFAULT-+-1))
 )
(ADE::NOT-PRIMP-GCD-BODY2
 (72 36 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (72 36 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (72 36 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (36 36 (:REWRITE |(equal (- x) (- y))|))
 )
(ADE::GCD-BODY2$NETLIST)
(ADE::GCD-BODY2&
 (360 20 (:DEFINITION ASSOC-EQUAL))
 (88 66 (:REWRITE DEFAULT-CAR))
 (84 21 (:REWRITE ADE::NOT-EQUAL-WITH-SI-OF-DIFF-SYMBOL . 2))
 (76 2 (:DEFINITION ADE::TV-GUARD))
 (62 41 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (62 41 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (62 41 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (56 6 (:REWRITE ADE::CONSP-MAKE-TREE))
 (48 26 (:REWRITE DEFAULT-CDR))
 (42 42 (:TYPE-PRESCRIPTION STR::ISTRPREFIXP$INLINE))
 (41 41 (:REWRITE |(equal (- x) (- y))|))
 (30 30 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (30 30 (:REWRITE DEFAULT-*-2))
 (30 30 (:REWRITE DEFAULT-*-1))
 (21 21 (:REWRITE DEFAULT-SYMBOL-NAME))
 (18 1 (:DEFINITION ADE::DELETE-TO-EQ))
 (7 7 (:REWRITE SIMPLIFY-SUMS-<))
 (7 7 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (7 7 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (7 7 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (7 7 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (7 7 (:REWRITE DEFAULT-<-2))
 (7 7 (:REWRITE DEFAULT-<-1))
 (7 7 (:REWRITE |(< (- x) (- y))|))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-A+AB-<-0))
 (1 1 (:REWRITE REDUCE-INTEGERP-+))
 (1 1 (:REWRITE INTEGERP-MINUS-X))
 (1 1 (:REWRITE |(< (- x) 0)|))
 (1 1 (:META META-INTEGERP-CORRECT))
 )
(ADE::CHECK-GCD-BODY2$NETLIST-64)
(ADE::GCD-BODY2$ST-FORMAT)
(ADE::GCD-BODY2$ST-FORMAT=>CONSTRAINT
 (14 2 (:DEFINITION LEN))
 (5 5 (:REWRITE NTH-WHEN-PREFIXP))
 (4 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
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 (2 2 (:REWRITE DEFAULT-+-1))
 (2 1 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (2 1 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (2 1 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-A+AB))
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 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (1 1 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
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 (1 1 (:REWRITE DEFAULT-*-1))
 (1 1 (:REWRITE |(equal (- x) (- y))|))
 (1 1 (:REWRITE |(< 0 (- x))|))
 (1 1 (:REWRITE |(< (- x) (- y))|))
 )
(ADE::GCD-BODY2$VALID-ST)
(ADE::GCD-BODY2$VALID-ST=>CONSTRAINT
 (14 2 (:DEFINITION LEN))
 (9 9 (:REWRITE NTH-WHEN-PREFIXP))
 (5 4 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (5 4 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (5 4 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (4 4 (:REWRITE |(equal (- x) (- y))|))
 (4 2 (:REWRITE DEFAULT-+-2))
 (4 1 (:DEFINITION STRIP-CARS))
 (3 3 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (2 2 (:REWRITE NORMALIZE-ADDENDS))
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 (1 1 (:REWRITE SIMPLIFY-SUMS-<))
 (1 1 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (1 1 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (1 1 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (1 1 (:REWRITE DEFAULT-<-2))
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 (1 1 (:REWRITE DEFAULT-*-2))
 (1 1 (:REWRITE DEFAULT-*-1))
 (1 1 (:REWRITE |(< 0 (- x))|))
 (1 1 (:REWRITE |(< (- x) (- y))|))
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(ADE::GCD-BODY2$VALID-ST=>ST-FORMAT
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 (27 27 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (27 27 (:REWRITE NORMALIZE-ADDENDS))
 (27 27 (:REWRITE DEFAULT-+-1))
 (15 12 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (15 12 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (15 12 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (12 12 (:REWRITE |(equal (- x) (- y))|))
 (12 3 (:DEFINITION STRIP-CARS))
 (9 9 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-A+AB))
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 (9 9 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (9 9 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (9 9 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (9 9 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (9 9 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (9 9 (:REWRITE DEFAULT-<-2))
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 (9 9 (:REWRITE DEFAULT-*-2))
 (9 9 (:REWRITE DEFAULT-*-1))
 (9 9 (:REWRITE |(< 0 (- x))|))
 (9 9 (:REWRITE |(< (- x) (- y))|))
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(ADE::GCD-BODY2$DATA-IN
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 (5 1 (:DEFINITION TRUE-LISTP))
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 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-A+AB-<-0))
 (1 1 (:REWRITE SIMPLIFY-SUMS-<))
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 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (1 1 (:REWRITE REDUCE-INTEGERP-+))
 (1 1 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (1 1 (:REWRITE INTEGERP-MINUS-X))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE |(< (- x) 0)|))
 (1 1 (:REWRITE |(< (- x) (- y))|))
 (1 1 (:META META-INTEGERP-CORRECT))
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(ADE::LEN-GCD-BODY2$DATA-IN
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 (3 3 (:REWRITE REDUCE-INTEGERP-+))
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 (3 3 (:REWRITE DEFAULT-<-2))
 (3 3 (:REWRITE DEFAULT-<-1))
 (3 3 (:REWRITE |(< (- x) 0)|))
 (3 3 (:REWRITE |(< (- x) (- y))|))
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 (2 2 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (2 2 (:REWRITE DEFAULT-*-2))
 (2 2 (:REWRITE DEFAULT-*-1))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 )
(ADE::GCD-BODY2$A<B)
(ADE::GCD-BODY2$IN-ACT
 (10 5 (:TYPE-PRESCRIPTION ADE::BOOLEANP-JOINT-ACT))
 (5 5 (:TYPE-PRESCRIPTION BOOLEANP))
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(ADE::GCD-BODY2$IN-ACT-INACTIVE
 (16 1 (:REWRITE ADE::NFIX-OF-NAT))
 (15 1 (:DEFINITION NTHCDR))
 (14 1 (:DEFINITION NATP))
 (13 2 (:REWRITE |(+ (if a b c) x)|))
 (11 1 (:REWRITE |(+ (+ x y) z)|))
 (7 7 (:REWRITE NTH-WHEN-PREFIXP))
 (5 1 (:REWRITE |(+ y x)|))
 (5 1 (:REWRITE |(+ c (+ d x))|))
 (3 3 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (3 3 (:REWRITE NORMALIZE-ADDENDS))
 (3 3 (:REWRITE DEFAULT-+-2))
 (3 3 (:REWRITE DEFAULT-+-1))
 (3 1 (:REWRITE ADE::F-GATES=B-GATES))
 (2 2 (:TYPE-PRESCRIPTION BOOLEANP))
 (2 2 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-A+AB-<-0))
 (2 2 (:REWRITE SIMPLIFY-SUMS-<))
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 (2 2 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (2 2 (:REWRITE REDUCE-INTEGERP-+))
 (2 2 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
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 (2 2 (:REWRITE DEFAULT-CAR))
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 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE |(< (- x) 0)|))
 (2 2 (:REWRITE |(< (- x) (- y))|))
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 (1 1 (:REWRITE DEFAULT-CDR))
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 (1 1 (:REWRITE DEFAULT-*-1))
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(ADE::GCD-BODY2$OUT-ACT
 (10 5 (:TYPE-PRESCRIPTION ADE::BOOLEANP-JOINT-ACT))
 (5 5 (:TYPE-PRESCRIPTION BOOLEANP))
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(ADE::GCD-BODY2$OUT-ACT-INACTIVE
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 (15 1 (:DEFINITION NTHCDR))
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 (13 2 (:REWRITE |(+ (if a b c) x)|))
 (11 1 (:REWRITE |(+ (+ x y) z)|))
 (7 7 (:REWRITE NTH-WHEN-PREFIXP))
 (5 1 (:REWRITE |(+ y x)|))
 (5 1 (:REWRITE |(+ c (+ d x))|))
 (3 3 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
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 (3 3 (:REWRITE DEFAULT-+-2))
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 (3 1 (:REWRITE ADE::F-GATES=B-GATES))
 (2 2 (:TYPE-PRESCRIPTION BOOLEANP))
 (2 2 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-A+AB-<-0))
 (2 2 (:REWRITE SIMPLIFY-SUMS-<))
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 (2 2 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (2 2 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (2 2 (:REWRITE REDUCE-INTEGERP-+))
 (2 2 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (2 2 (:REWRITE INTEGERP-MINUS-X))
 (2 2 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE |(< (- x) 0)|))
 (2 2 (:REWRITE |(< (- x) (- y))|))
 (2 2 (:META META-INTEGERP-CORRECT))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (1 1 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (1 1 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (1 1 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-*-2))
 (1 1 (:REWRITE DEFAULT-*-1))
 (1 1 (:REWRITE |(equal (- x) (- y))|))
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(ADE::GCD-BODY2$IN-OUT-ACTS-MUTUALLY-EXCLUSIVE
 (130 10 (:DEFINITION NTHCDR))
 (110 10 (:REWRITE |(+ (+ x y) z)|))
 (82 82 (:REWRITE NTH-WHEN-PREFIXP))
 (50 10 (:REWRITE |(+ y x)|))
 (50 10 (:REWRITE |(+ c (+ d x))|))
 (36 33 (:REWRITE DEFAULT-+-2))
 (33 33 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (33 33 (:REWRITE NORMALIZE-ADDENDS))
 (33 33 (:REWRITE DEFAULT-+-1))
 (21 3 (:DEFINITION LEN))
 (17 14 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (17 14 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (17 14 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (16 16 (:REWRITE DEFAULT-CDR))
 (16 8 (:REWRITE ADE::GCD-BODY2$IN-ACT-INACTIVE))
 (14 14 (:REWRITE |(equal (- x) (- y))|))
 (12 3 (:DEFINITION STRIP-CARS))
 (12 2 (:REWRITE ADE::GCD-BODY2$OUT-ACT-INACTIVE))
 (11 11 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (11 11 (:REWRITE DEFAULT-*-2))
 (11 11 (:REWRITE DEFAULT-*-1))
 (8 4 (:TYPE-PRESCRIPTION ADE::BOOLEANP-JOINT-ACT))
 (6 6 (:REWRITE DEFAULT-CAR))
 (4 4 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-A+AB))
 (1 1 (:REWRITE SIMPLIFY-SUMS-<))
 (1 1 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (1 1 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE |(< 0 (- x))|))
 (1 1 (:REWRITE |(< (- x) (- y))|))
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(ADE::GCD-BODY2$DATA-OUT)
(ADE::LEN-GCD-BODY2$DATA-OUT-1
 (63 3 (:DEFINITION ADE::V-THREEFIX))
 (33 33 (:TYPE-PRESCRIPTION STRIP-CARS))
 (25 11 (:REWRITE DEFAULT-CDR))
 (21 6 (:REWRITE ADE::V-THREEFIX-BVP))
 (14 14 (:TYPE-PRESCRIPTION ADE::BVP))
 (12 9 (:REWRITE DEFAULT-CAR))
 (10 10 (:REWRITE NTH-WHEN-PREFIXP))
 (10 5 (:REWRITE DEFAULT-+-2))
 (10 2 (:REWRITE CONSP-OF-APPEND))
 (9 3 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (8 2 (:DEFINITION STRIP-CARS))
 (8 1 (:REWRITE CAR-OF-APPEND))
 (6 3 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (6 3 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (6 3 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (6 3 (:DEFINITION ADE::3V-FIX))
 (6 1 (:DEFINITION BINARY-APPEND))
 (5 5 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (5 5 (:REWRITE DEFAULT-+-1))
 (5 2 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (4 4 (:LINEAR LEN-WHEN-PREFIXP))
 (4 1 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (3 3 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (3 3 (:TYPE-PRESCRIPTION ADE::3VP))
 (3 3 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (3 3 (:REWRITE DEFAULT-*-2))
 (3 3 (:REWRITE DEFAULT-*-1))
 (3 3 (:REWRITE |(equal (- x) (- y))|))
 (3 1 (:REWRITE ADE::BVP-APPEND))
 (2 2 (:LINEAR ADE::A-HELPFUL-LEMMA-FOR-TREE-INDUCTIONS))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-A+AB))
 (1 1 (:REWRITE SIMPLIFY-SUMS-<))
 (1 1 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (1 1 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE |(< 0 (- x))|))
 (1 1 (:REWRITE |(< (- x) (- y))|))
 )
(ADE::LEN-GCD-BODY2$DATA-OUT-2
 (166 10 (:DEFINITION ADE::V-THREEFIX))
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 (84 8 (:DEFINITION BINARY-APPEND))
 (76 19 (:DEFINITION STRIP-CARS))
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 (48 12 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (44 44 (:REWRITE NTH-WHEN-PREFIXP))
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 (38 19 (:REWRITE DEFAULT-+-2))
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 (22 22 (:TYPE-PRESCRIPTION ADE::V-THREEFIX))
 (20 4 (:REWRITE CONSP-OF-APPEND))
 (19 19 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (19 19 (:REWRITE DEFAULT-+-1))
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 (17 17 (:REWRITE DEFAULT-*-2))
 (17 17 (:REWRITE DEFAULT-*-1))
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 (15 12 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (15 12 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (15 12 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (14 2 (:REWRITE ADE::CAR-V-THREEFIX))
 (12 12 (:TYPE-PRESCRIPTION ADE::3VP))
 (12 12 (:REWRITE |(equal (- x) (- y))|))
 (8 2 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (6 6 (:TYPE-PRESCRIPTION BINARY-APPEND))
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 (4 4 (:LINEAR LEN-WHEN-PREFIXP))
 (2 2 (:LINEAR ADE::A-HELPFUL-LEMMA-FOR-TREE-INDUCTIONS))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-A+AB))
 (1 1 (:REWRITE SIMPLIFY-SUMS-<))
 (1 1 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (1 1 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE |(< 0 (- x))|))
 (1 1 (:REWRITE |(< (- x) (- y))|))
 )
(ADE::BVP-GCD-BODY2$DATA-OUT
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 (172 172 (:REWRITE NTH-WHEN-PREFIXP))
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 (88 8 (:REWRITE |(+ (+ x y) z)|))
 (78 51 (:REWRITE DEFAULT-+-2))
 (76 19 (:DEFINITION STRIP-CARS))
 (56 56 (:REWRITE DEFAULT-CDR))
 (51 51 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (51 51 (:REWRITE NORMALIZE-ADDENDS))
 (51 51 (:REWRITE DEFAULT-+-1))
 (48 8 (:REWRITE ADE::GCD-BODY2$OUT-ACT-INACTIVE))
 (40 40 (:REWRITE DEFAULT-CAR))
 (40 8 (:REWRITE |(+ y x)|))
 (40 8 (:REWRITE |(+ c (+ d x))|))
 (23 20 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (23 20 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (23 20 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (20 20 (:REWRITE |(equal (- x) (- y))|))
 (17 17 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (17 17 (:REWRITE DEFAULT-*-2))
 (17 17 (:REWRITE DEFAULT-*-1))
 (16 16 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$IN-ACT))
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 (8 4 (:TYPE-PRESCRIPTION ADE::BOOLEANP-JOINT-ACT))
 (4 4 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-A+AB))
 (1 1 (:REWRITE SIMPLIFY-SUMS-<))
 (1 1 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (1 1 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE |(< 0 (- x))|))
 (1 1 (:REWRITE |(< (- x) (- y))|))
 )
(ADE::GCD-BODY2$OUTPUTS)
(ADE::GCD-BODY2$VALUE
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 (400 224 (:REWRITE DEFAULT-+-2))
 (285 95 (:REWRITE ADE::ASSOC-EQ-VALUES-ATOM))
 (224 224 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (224 224 (:REWRITE DEFAULT-+-1))
 (200 40 (:REWRITE ADE::DISJOINT-ATOM))
 (198 198 (:TYPE-PRESCRIPTION PAIRLIS$))
 (172 8 (:REWRITE ADE::TV-IF$VALUE))
 (167 9 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (156 60 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (147 46 (:REWRITE ADE::CAR-V-THREEFIX))
 (130 1 (:REWRITE PREFIXP-OF-APPEND-ARG1))
 (124 58 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (120 40 (:REWRITE ADE::DISJOINT-SIS-SAME-SYM-1))
 (115 62 (:REWRITE ADE::V-THREEFIX-BVP))
 (101 1 (:REWRITE PREFIXP-OF-APPEND-ARG2))
 (98 60 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (92 56 (:REWRITE REV-WHEN-NOT-CONSP))
 (92 46 (:DEFINITION ADE::3V-FIX))
 (80 42 (:REWRITE TAKE-WHEN-ATOM))
 (80 40 (:REWRITE ADE::DISJOINT-SIS-SAME-SYM-2))
 (78 78 (:TYPE-PRESCRIPTION ADE::BVP))
 (66 22 (:REWRITE ADE::FV-<=V-<))
 (63 63 (:REWRITE NTH-WHEN-PREFIXP))
 (60 60 (:REWRITE |(equal (- x) (- y))|))
 (58 58 (:TYPE-PRESCRIPTION TAKE))
 (58 58 (:TYPE-PRESCRIPTION ADE::3VP))
 (54 42 (:REWRITE ADE::F-BUF-OF-NOT-BOOLEANP))
 (54 42 (:REWRITE ADE::F-BUF-OF-3VP))
 (50 50 (:DEFINITION STRIP-CARS))
 (44 44 (:REWRITE ADE::NTHCDR-OF-POS-CONST-IDX))
 (39 16 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (38 38 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (38 38 (:REWRITE DEFAULT-*-2))
 (38 38 (:REWRITE DEFAULT-*-1))
 (34 34 (:TYPE-PRESCRIPTION ADE::NATP-TREE-NUMBER))
 (32 8 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (30 30 (:TYPE-PRESCRIPTION ADE::F-BUF))
 (28 4 (:REWRITE BUBBLE-DOWN-+-MATCH-3))
 (27 9 (:REWRITE CONSP-OF-REV))
 (24 8 (:REWRITE CAR-OF-TAKE))
 (22 10 (:TYPE-PRESCRIPTION ADE::BVP-TAKE))
 (21 6 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (21 6 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (20 4 (:TYPE-PRESCRIPTION ADE::BVP-REV))
 (20 2 (:REWRITE ADE::BVP-REV))
 (16 16 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (16 16 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (16 16 (:REWRITE |(< (- x) (- y))|))
 (15 15 (:REWRITE SIMPLIFY-SUMS-<))
 (15 15 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (15 15 (:REWRITE DEFAULT-<-2))
 (15 15 (:REWRITE DEFAULT-<-1))
 (15 15 (:REWRITE CONSP-OF-TAKE))
 (14 2 (:REWRITE |(+ y (+ x z))|))
 (13 13 (:REWRITE DEFAULT-UNARY-MINUS))
 (12 4 (:REWRITE ADE::BV-IS-TRUE-LIST))
 (12 1 (:REWRITE ADE::GCD-BODY2$OUT-ACT-INACTIVE))
 (9 3 (:REWRITE ADE::FV-IF-WHEN-BVP))
 (9 3 (:REWRITE CAR-OF-APPEND))
 (9 3 (:REWRITE ADE::BVP-TAKE))
 (9 3 (:REWRITE ADE::BVP-APPEND))
 (9 3 (:REWRITE ADE::ALL-UNBOUND-IN-BODY-ATOM-NAMES))
 (8 8 (:TYPE-PRESCRIPTION NFIX))
 (8 8 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (8 8 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (8 8 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (8 8 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (8 2 (:DEFINITION TRUE-LISTP))
 (6 2 (:TYPE-PRESCRIPTION ADE::BVP-NTHCDR))
 (6 1 (:REWRITE CONSP-OF-APPEND))
 (5 1 (:REWRITE ADE::GCD-BODY2$IN-ACT-INACTIVE))
 (4 4 (:REWRITE |(equal (+ c x) d)|))
 (4 4 (:REWRITE |(- (- x))|))
 (4 4 (:LINEAR LEN-WHEN-PREFIXP))
 (4 2 (:REWRITE |(* y x)|))
 (3 3 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-A+AB))
 (3 3 (:REWRITE |(< 0 (- x))|))
 (3 1 (:REWRITE ADE::GCD-BODY2$IN-OUT-ACTS-MUTUALLY-EXCLUSIVE))
 (3 1 (:REWRITE ADE::BVP-NTHCDR))
 (2 2 (:TYPE-PRESCRIPTION ADE::TREE-SIZE))
 (2 2 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$VALID-ST))
 (2 2 (:REWRITE ADE::TREE-SIZE-MAKE-TREE))
 (2 2 (:REWRITE NORMALIZE-TERMS-SUCH-AS-1/AX+BX))
 (2 2 (:REWRITE DEFAULT-UNARY-/))
 (2 2 (:REWRITE DEFAULT-SYMBOL-NAME))
 (2 2 (:REWRITE |(* a (/ a))|))
 (2 2 (:LINEAR ADE::A-HELPFUL-LEMMA-FOR-TREE-INDUCTIONS))
 )
(ADE::GCD-BODY2$STEP
 (12 6 (:TYPE-PRESCRIPTION ADE::BOOLEANP-JOINT-ACT))
 (6 6 (:TYPE-PRESCRIPTION BOOLEANP))
 )
(ADE::GCD-BODY2$STATE
 (2515 351 (:DEFINITION BINARY-APPEND))
 (748 431 (:REWRITE DEFAULT-+-2))
 (639 213 (:REWRITE ADE::ASSOC-EQ-VALUES-ATOM))
 (562 103 (:REWRITE ADE::DISJOINT-ATOM))
 (431 431 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (431 431 (:REWRITE DEFAULT-+-1))
 (430 430 (:TYPE-PRESCRIPTION PAIRLIS$))
 (408 134 (:REWRITE ADE::CAR-V-THREEFIX))
 (331 238 (:REWRITE TAKE-WHEN-ATOM))
 (284 33 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (280 206 (:REWRITE REV-WHEN-NOT-CONSP))
 (268 134 (:DEFINITION ADE::3V-FIX))
 (251 127 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (243 83 (:REWRITE ADE::DISJOINT-SIS-SAME-SYM-1))
 (237 117 (:REWRITE ADE::FV-IF-WHEN-BVP))
 (226 226 (:REWRITE ADE::NTHCDR-OF-POS-CONST-IDX))
 (211 211 (:DEFINITION STRIP-CARS))
 (203 127 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (203 127 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (201 91 (:REWRITE ADE::FV-<=V-<))
 (197 33 (:REWRITE CAR-OF-APPEND))
 (183 125 (:REWRITE ADE::V-THREEFIX-BVP))
 (176 59 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (166 166 (:TYPE-PRESCRIPTION ADE::BVP))
 (163 83 (:REWRITE ADE::DISJOINT-SIS-SAME-SYM-2))
 (152 152 (:TYPE-PRESCRIPTION ADE::3VP))
 (145 3 (:DEFINITION SUBSETP-EQUAL))
 (127 127 (:REWRITE |(equal (- x) (- y))|))
 (125 107 (:REWRITE ADE::F-BUF-OF-NOT-BOOLEANP))
 (125 107 (:REWRITE ADE::F-BUF-OF-3VP))
 (115 115 (:REWRITE NTH-WHEN-PREFIXP))
 (99 33 (:REWRITE CONSP-OF-REV))
 (85 35 (:TYPE-PRESCRIPTION ADE::BVP-TAKE))
 (83 32 (:REWRITE ADE::FV-NOT=V-NOT))
 (81 3 (:DEFINITION MEMBER-EQUAL))
 (80 32 (:REWRITE ADE::FV-ADDER=V-ADDER))
 (72 72 (:TYPE-PRESCRIPTION ADE::UPDATE-ALIST))
 (64 30 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (57 57 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (57 57 (:REWRITE DEFAULT-*-2))
 (57 57 (:REWRITE DEFAULT-*-1))
 (55 11 (:DEFINITION ATOM))
 (52 2 (:REWRITE TAKE-MORE-OF-TAKE-FEWER))
 (50 50 (:TYPE-PRESCRIPTION ADE::F-BUF))
 (50 10 (:TYPE-PRESCRIPTION ADE::BVP-REV))
 (50 5 (:REWRITE ADE::BVP-REV))
 (43 1 (:REWRITE PREFIXP-OF-APPEND-ARG1))
 (40 28 (:REWRITE SIMPLIFY-SUMS-<))
 (39 13 (:TYPE-PRESCRIPTION ADE::BVP-NTHCDR))
 (31 13 (:REWRITE ADE::BVP-TAKE))
 (30 30 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (30 30 (:REWRITE DEFAULT-UNARY-MINUS))
 (30 30 (:REWRITE |(< (- x) (- y))|))
 (28 28 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (28 28 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (28 6 (:REWRITE CONSP-OF-APPEND))
 (27 27 (:REWRITE DEFAULT-<-2))
 (27 27 (:REWRITE DEFAULT-<-1))
 (21 21 (:REWRITE CONSP-OF-TAKE))
 (18 6 (:REWRITE CAR-OF-TAKE))
 (15 15 (:TYPE-PRESCRIPTION ADE::FV-<))
 (15 7 (:REWRITE ADE::BVP-NTHCDR))
 (15 2 (:REWRITE ADE::BVP-OF-V-THREEFIX))
 (12 4 (:REWRITE ADE::BV-IS-TRUE-LIST))
 (12 1 (:REWRITE ADE::GCD-BODY2$OUT-ACT-INACTIVE))
 (12 1 (:REWRITE ADE::FV-ADDER-OUTPUT=V-ADDER-OUTPUT))
 (10 10 (:TYPE-PRESCRIPTION NFIX))
 (10 10 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (10 10 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (10 10 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (10 10 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (10 4 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (10 4 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (8 4 (:REWRITE |(* y x)|))
 (8 2 (:DEFINITION TRUE-LISTP))
 (6 6 (:TYPE-PRESCRIPTION ATOM))
 (6 6 (:REWRITE ADE::SUBSETP-TRANSITIVITY))
 (5 1 (:REWRITE ADE::GCD-BODY2$IN-ACT-INACTIVE))
 (4 4 (:REWRITE NORMALIZE-TERMS-SUCH-AS-1/AX+BX))
 (4 4 (:REWRITE DEFAULT-UNARY-/))
 (4 4 (:REWRITE |(equal (+ c x) d)|))
 (4 4 (:REWRITE |(* a (/ a))|))
 (4 4 (:LINEAR LEN-WHEN-PREFIXP))
 (3 3 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-A+AB))
 (3 3 (:REWRITE |(< 0 (- x))|))
 (3 1 (:REWRITE ADE::GCD-BODY2$IN-OUT-ACTS-MUTUALLY-EXCLUSIVE))
 (2 2 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$VALID-ST))
 (2 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (2 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (2 2 (:REWRITE DEFAULT-SYMBOL-NAME))
 (2 2 (:LINEAR ADE::A-HELPFUL-LEMMA-FOR-TREE-INDUCTIONS))
 (1 1 (:REWRITE |(< d (+ c x))|))
 )
(ADE::GCD-BODY2$INPUT-FORMAT)
(ADE::BOOLEANP-GCD-BODY2$IN-ACT
 (144 2 (:REWRITE ADE::LEN-NTHCDR))
 (120 4 (:REWRITE |(< x (if a b c))|))
 (119 9 (:DEFINITION NTHCDR))
 (99 9 (:REWRITE |(+ (+ x y) z)|))
 (82 82 (:REWRITE NTH-WHEN-PREFIXP))
 (63 9 (:DEFINITION LEN))
 (45 36 (:REWRITE DEFAULT-+-2))
 (45 9 (:REWRITE |(+ y x)|))
 (45 9 (:REWRITE |(+ c (+ d x))|))
 (36 36 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (36 36 (:REWRITE NORMALIZE-ADDENDS))
 (36 36 (:REWRITE DEFAULT-+-1))
 (26 26 (:REWRITE DEFAULT-CDR))
 (26 20 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (26 20 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (26 20 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (26 4 (:REWRITE ADE::BV-IS-TRUE-LIST))
 (20 20 (:REWRITE |(equal (- x) (- y))|))
 (18 2 (:DEFINITION TRUE-LISTP))
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 (17 11 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (17 11 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (17 11 (:REWRITE DEFAULT-<-1))
 (16 8 (:REWRITE ADE::GCD-BODY2$IN-ACT-INACTIVE))
 (16 4 (:DEFINITION STRIP-CARS))
 (15 15 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (15 15 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (14 1 (:DEFINITION NATP))
 (13 2 (:REWRITE |(+ (if a b c) x)|))
 (12 12 (:LINEAR LEN-WHEN-PREFIXP))
 (12 2 (:DEFINITION BINARY-APPEND))
 (11 11 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (11 11 (:REWRITE DEFAULT-<-2))
 (11 11 (:REWRITE DEFAULT-*-2))
 (11 11 (:REWRITE DEFAULT-*-1))
 (11 11 (:REWRITE |(< (- x) (- y))|))
 (10 10 (:REWRITE DEFAULT-CAR))
 (10 4 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (8 4 (:TYPE-PRESCRIPTION ADE::BVP-NTHCDR))
 (6 6 (:LINEAR ADE::A-HELPFUL-LEMMA-FOR-TREE-INDUCTIONS))
 (6 2 (:REWRITE ADE::BVP-NTHCDR))
 (3 3 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-A+AB))
 (3 3 (:REWRITE |(< 0 (- x))|))
 (2 2 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-A+AB-<-0))
 (2 2 (:REWRITE REDUCE-INTEGERP-+))
 (2 2 (:REWRITE INTEGERP-MINUS-X))
 (2 2 (:REWRITE |(< d (+ c x))|))
 (2 2 (:REWRITE |(< (- x) 0)|))
 (2 2 (:META META-INTEGERP-CORRECT))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 )
(ADE::BOOLEANP-GCD-BODY2$OUT-ACT
 (492 8 (:REWRITE ADE::GCD-BODY2$IN-OUT-ACTS-MUTUALLY-EXCLUSIVE))
 (231 33 (:DEFINITION LEN))
 (178 178 (:REWRITE NTH-WHEN-PREFIXP))
 (144 2 (:REWRITE ADE::LEN-NTHCDR))
 (120 4 (:REWRITE |(< x (if a b c))|))
 (119 9 (:DEFINITION NTHCDR))
 (99 9 (:REWRITE |(+ (+ x y) z)|))
 (93 60 (:REWRITE DEFAULT-+-2))
 (64 16 (:DEFINITION STRIP-CARS))
 (62 62 (:REWRITE DEFAULT-CDR))
 (60 60 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (60 60 (:REWRITE NORMALIZE-ADDENDS))
 (60 60 (:REWRITE DEFAULT-+-1))
 (48 8 (:REWRITE ADE::GCD-BODY2$OUT-ACT-INACTIVE))
 (45 9 (:REWRITE |(+ y x)|))
 (45 9 (:REWRITE |(+ c (+ d x))|))
 (34 34 (:REWRITE DEFAULT-CAR))
 (34 28 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (34 28 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (34 28 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (32 16 (:TYPE-PRESCRIPTION ADE::BOOLEANP-GCD-BODY2$IN-ACT))
 (28 28 (:REWRITE |(equal (- x) (- y))|))
 (26 4 (:REWRITE ADE::BV-IS-TRUE-LIST))
 (19 19 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (19 19 (:REWRITE DEFAULT-*-2))
 (19 19 (:REWRITE DEFAULT-*-1))
 (18 2 (:DEFINITION TRUE-LISTP))
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 (17 11 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (17 11 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (17 11 (:REWRITE DEFAULT-<-1))
 (16 16 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$IN-ACT))
 (15 15 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (15 15 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (14 1 (:DEFINITION NATP))
 (13 2 (:REWRITE |(+ (if a b c) x)|))
 (12 12 (:LINEAR LEN-WHEN-PREFIXP))
 (12 2 (:DEFINITION BINARY-APPEND))
 (11 11 (:REWRITE DEFAULT-<-2))
 (11 11 (:REWRITE |(< (- x) (- y))|))
 (10 4 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (8 4 (:TYPE-PRESCRIPTION ADE::BVP-NTHCDR))
 (6 6 (:LINEAR ADE::A-HELPFUL-LEMMA-FOR-TREE-INDUCTIONS))
 (6 2 (:REWRITE ADE::BVP-NTHCDR))
 (3 3 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-A+AB))
 (3 3 (:REWRITE |(< 0 (- x))|))
 (2 2 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-A+AB-<-0))
 (2 2 (:REWRITE REDUCE-INTEGERP-+))
 (2 2 (:REWRITE INTEGERP-MINUS-X))
 (2 2 (:REWRITE |(< d (+ c x))|))
 (2 2 (:REWRITE |(< (- x) 0)|))
 (2 2 (:META META-INTEGERP-CORRECT))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 )
(ADE::GCD-BODY2$ST-FORMAT-PRESERVED
 (420 6 (:DEFINITION TAKE))
 (180 18 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (110 22 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (89 11 (:DEFINITION LEN))
 (86 8 (:DEFINITION NTHCDR))
 (84 10 (:REWRITE ADE::FV-IF-WHEN-BVP))
 (76 40 (:REWRITE DEFAULT-CDR))
 (72 72 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$DATA-IN))
 (58 58 (:REWRITE NTH-WHEN-PREFIXP))
 (56 38 (:REWRITE DEFAULT-CAR))
 (52 35 (:REWRITE DEFAULT-+-2))
 (42 42 (:TYPE-PRESCRIPTION STRIP-CARS))
 (42 12 (:REWRITE TAKE-WHEN-ATOM))
 (40 10 (:DEFINITION STRIP-CARS))
 (35 35 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (35 35 (:REWRITE DEFAULT-+-1))
 (24 24 (:TYPE-PRESCRIPTION ADE::BVP))
 (24 24 (:LINEAR LEN-WHEN-PREFIXP))
 (24 2 (:REWRITE ADE::FV-NOT=V-NOT))
 (24 2 (:REWRITE ADE::FV-ADDER-OUTPUT=V-ADDER-OUTPUT))
 (22 22 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (22 22 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (22 22 (:REWRITE |(< (- x) (- y))|))
 (22 8 (:REWRITE |(+ c (+ d x))|))
 (22 2 (:REWRITE |(+ (+ x y) z)|))
 (20 20 (:TYPE-PRESCRIPTION BOOLEANP))
 (20 10 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (18 12 (:REWRITE SIMPLIFY-SUMS-<))
 (18 12 (:REWRITE DEFAULT-<-2))
 (18 9 (:TYPE-PRESCRIPTION ADE::BOOLEANP-GCD-BODY2$IN-ACT))
 (17 17 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (17 17 (:REWRITE DEFAULT-*-2))
 (17 17 (:REWRITE DEFAULT-*-1))
 (16 8 (:REWRITE |(* y x)|))
 (16 4 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (16 2 (:REWRITE ADE::LEN-STRIP-CARS))
 (16 2 (:DEFINITION BINARY-APPEND))
 (15 15 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$INPUT-FORMAT))
 (15 3 (:DEFINITION PAIRLIS$))
 (12 12 (:REWRITE DEFAULT-<-1))
 (12 12 (:LINEAR ADE::A-HELPFUL-LEMMA-FOR-TREE-INDUCTIONS))
 (12 6 (:TYPE-PRESCRIPTION ADE::BOOLEANP-JOINT-ACT))
 (12 6 (:REWRITE |(< d (+ c x))|))
 (12 4 (:TYPE-PRESCRIPTION ADE::BVP-TAKE))
 (12 4 (:TYPE-PRESCRIPTION ADE::BVP-NTHCDR))
 (12 4 (:REWRITE |(* y (* x z))|))
 (9 9 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$IN-ACT))
 (9 3 (:REWRITE ADE::BOOLEANP-GCD-BODY2$IN-ACT))
 (8 8 (:REWRITE NORMALIZE-TERMS-SUCH-AS-1/AX+BX))
 (8 8 (:REWRITE DEFAULT-UNARY-/))
 (8 8 (:REWRITE |(* a (/ a))|))
 (7 4 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (7 4 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (7 4 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION ADE::JOINT-ACT))
 (6 6 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$A<B))
 (6 6 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-A+AB))
 (6 6 (:REWRITE |(< 0 (- x))|))
 (6 6 (:REWRITE |(< (+ c x) d)|))
 (6 6 (:REWRITE |(+ 0 x)|))
 (6 2 (:REWRITE ADE::BVP-TAKE))
 (6 2 (:REWRITE ADE::BVP-NTHCDR))
 (6 1 (:REWRITE ADE::GCD-BODY2$OUT-ACT-INACTIVE))
 (5 5 (:REWRITE DEFAULT-UNARY-MINUS))
 (5 3 (:REWRITE ADE::GCD-BODY2$IN-ACT-INACTIVE))
 (4 4 (:REWRITE |(equal (- x) (- y))|))
 (4 4 (:REWRITE |(* c (* d x))|))
 (3 1 (:REWRITE ADE::GCD-BODY2$IN-OUT-ACTS-MUTUALLY-EXCLUSIVE))
 (2 2 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$VALID-ST))
 (1 1 (:REWRITE |(* (- x) y)|))
 )
(ADE::GCD-BODY2$VALUE-ALT
 (416 32 (:DEFINITION NTHCDR))
 (352 32 (:REWRITE |(+ (+ x y) z)|))
 (252 9 (:REWRITE ADE::LEN-NTHCDR))
 (160 32 (:REWRITE |(+ y x)|))
 (150 21 (:DEFINITION BINARY-APPEND))
 (140 122 (:REWRITE DEFAULT-+-2))
 (126 18 (:DEFINITION LEN))
 (122 122 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (122 122 (:REWRITE DEFAULT-+-1))
 (117 18 (:REWRITE ADE::BV-IS-TRUE-LIST))
 (90 42 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (81 9 (:DEFINITION TRUE-LISTP))
 (80 80 (:REWRITE DEFAULT-CDR))
 (65 65 (:REWRITE NTH-WHEN-PREFIXP))
 (48 48 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (48 48 (:REWRITE DEFAULT-*-2))
 (48 48 (:REWRITE DEFAULT-*-1))
 (48 8 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (45 11 (:REWRITE ADE::GCD-BODY2$OUT-ACT-INACTIVE))
 (39 23 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (39 23 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (39 23 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (36 18 (:TYPE-PRESCRIPTION ADE::BVP-NTHCDR))
 (33 11 (:REWRITE ADE::GCD-BODY2$IN-OUT-ACTS-MUTUALLY-EXCLUSIVE))
 (32 32 (:LINEAR LEN-WHEN-PREFIXP))
 (27 9 (:REWRITE ADE::BVP-NTHCDR))
 (23 23 (:REWRITE |(equal (- x) (- y))|))
 (22 22 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$VALID-ST))
 (21 21 (:REWRITE DEFAULT-CAR))
 (18 9 (:REWRITE SIMPLIFY-SUMS-<))
 (18 9 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (18 9 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (18 9 (:REWRITE DEFAULT-<-1))
 (16 16 (:LINEAR ADE::A-HELPFUL-LEMMA-FOR-TREE-INDUCTIONS))
 (9 9 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (9 9 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (9 9 (:REWRITE DEFAULT-<-2))
 (9 9 (:REWRITE |(< d (+ c x))|))
 (9 9 (:REWRITE |(< (- x) (- y))|))
 (4 4 (:REWRITE |(* (- x) y)|))
 )
(ADE::GCD-BODY2$STATE-ALT
 (403 31 (:DEFINITION NTHCDR))
 (341 31 (:REWRITE |(+ (+ x y) z)|))
 (252 9 (:REWRITE ADE::LEN-NTHCDR))
 (155 31 (:REWRITE |(+ y x)|))
 (144 20 (:DEFINITION BINARY-APPEND))
 (137 119 (:REWRITE DEFAULT-+-2))
 (126 18 (:DEFINITION LEN))
 (119 119 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (119 119 (:REWRITE DEFAULT-+-1))
 (117 18 (:REWRITE ADE::BV-IS-TRUE-LIST))
 (88 40 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (81 9 (:DEFINITION TRUE-LISTP))
 (78 78 (:REWRITE DEFAULT-CDR))
 (48 8 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (47 47 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (47 47 (:REWRITE DEFAULT-*-2))
 (47 47 (:REWRITE DEFAULT-*-1))
 (39 23 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (39 23 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (39 23 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (36 18 (:TYPE-PRESCRIPTION ADE::BVP-NTHCDR))
 (35 35 (:REWRITE NTH-WHEN-PREFIXP))
 (32 32 (:LINEAR LEN-WHEN-PREFIXP))
 (27 9 (:REWRITE ADE::BVP-NTHCDR))
 (23 23 (:REWRITE |(equal (- x) (- y))|))
 (20 20 (:REWRITE DEFAULT-CAR))
 (18 9 (:REWRITE SIMPLIFY-SUMS-<))
 (18 9 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (18 9 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (18 9 (:REWRITE DEFAULT-<-1))
 (16 16 (:LINEAR ADE::A-HELPFUL-LEMMA-FOR-TREE-INDUCTIONS))
 (9 9 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (9 9 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (9 9 (:REWRITE DEFAULT-<-2))
 (9 9 (:REWRITE |(< d (+ c x))|))
 (9 9 (:REWRITE |(< (- x) (- y))|))
 (4 4 (:REWRITE |(* (- x) y)|))
 )
(ADE::GCD-BODY2$RUN)
(DEFOPENER-HINT
 (5 5 (:TYPE-PRESCRIPTION LAST))
 )
(DEFOPENER-TEMP)
(ADE::OPEN-GCD-BODY2$RUN-ZP)
(DEFOPENER-HINT
 (5 5 (:TYPE-PRESCRIPTION LAST))
 )
(DEFOPENER-TEMP)
(ADE::OPEN-GCD-BODY2$RUN)
(ADE::GCD-BODY2$RUN-PLUS
 (349 25 (:REWRITE ZP-OPEN))
 (122 34 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
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(DEFOPENER-HINT
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 )
(DEFOPENER-TEMP)
(ADE::OPEN-GCD-BODY2$INPUT-FORMAT-N-ZP)
(DEFOPENER-HINT
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 )
(DEFOPENER-TEMP)
(ADE::OPEN-GCD-BODY2$INPUT-FORMAT-N)
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(ADE::GCD-BODY2$OP-MAP
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(ADE::GCD-BODY2$EXTRACT)
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(ADE::GCD-BODY2$INV)
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(ADE::GCD-BODY2$EXTRACTED-STEP
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(ADE::GCD-BODY2$INPUT-FORMAT-LEMMA-2
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 (472 472 (:REWRITE DEFAULT-UNARY-MINUS))
 (400 41 (:REWRITE ADE::LEN-V-NOT))
 (327 327 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (327 327 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (327 327 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (327 327 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (286 143 (:DEFINITION ADE::3V-FIX))
 (286 22 (:REWRITE CAR-OF-TAKE))
 (247 128 (:REWRITE |(< d (+ c x))|))
 (164 164 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (151 151 (:REWRITE |(equal (- x) (- y))|))
 (143 143 (:TYPE-PRESCRIPTION ADE::3VP))
 (119 119 (:REWRITE |(< (+ c x) d)|))
 (91 91 (:TYPE-PRESCRIPTION ADE::V-THREEFIX))
 (55 1 (:REWRITE PREFIXP-OF-APPEND-ARG1))
 (48 16 (:REWRITE |(* y (* x z))|))
 (36 6 (:REWRITE ADE::GCD-BODY2$OUT-ACT-INACTIVE))
 (34 34 (:REWRITE NORMALIZE-TERMS-SUCH-AS-1/AX+BX))
 (34 34 (:REWRITE DEFAULT-UNARY-/))
 (30 30 (:REWRITE REPEAT-WHEN-ZP))
 (24 6 (:REWRITE ADE::GCD-BODY2$IN-ACT-INACTIVE))
 (24 1 (:DEFINITION TRUE-LISTP))
 (16 1 (:REWRITE LEN-OF-LIST-FIX))
 (13 13 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-A+AB-<-0))
 (13 13 (:REWRITE |(< (- x) 0)|))
 (12 6 (:TYPE-PRESCRIPTION ADE::BOOLEANP-GCD-BODY2$IN-ACT))
 (11 11 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (6 6 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$IN-ACT))
 (6 2 (:REWRITE ADE::BV-IS-TRUE-LIST))
 (6 1 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (5 1 (:REWRITE |(* x (- y))|))
 (4 4 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (4 2 (:REWRITE BOOL-FIX-UNDER-IFF))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:DEFINITION NATP))
 (1 1 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 )
(ADE::GCD-BODY2$VALID-ST-PRESERVED
 (6642 94 (:DEFINITION TAKE))
 (2919 299 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (2670 84 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (2206 2206 (:REWRITE NTH-WHEN-PREFIXP))
 (2134 1279 (:REWRITE DEFAULT-+-2))
 (2070 62 (:REWRITE TAKE-WHEN-PREFIXP))
 (1862 1286 (:REWRITE DEFAULT-CDR))
 (1856 84 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1812 162 (:DEFINITION NTHCDR))
 (1664 64 (:REWRITE LEN-WHEN-PREFIXP))
 (1326 177 (:DEFINITION STRIP-CARS))
 (1279 1279 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (1279 1279 (:REWRITE DEFAULT-+-1))
 (987 323 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (876 540 (:REWRITE DEFAULT-CAR))
 (858 8 (:REWRITE ADE::GCD-BODY2$IN-OUT-ACTS-MUTUALLY-EXCLUSIVE))
 (620 188 (:REWRITE TAKE-WHEN-ATOM))
 (508 158 (:REWRITE |(+ c (+ d x))|))
 (508 120 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (508 120 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (508 120 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (496 496 (:LINEAR LEN-WHEN-PREFIXP))
 (340 34 (:DEFINITION ADE::V-THREEFIX))
 (323 323 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (323 323 (:REWRITE |(< (- x) (- y))|))
 (319 205 (:REWRITE SIMPLIFY-SUMS-<))
 (319 205 (:REWRITE DEFAULT-<-2))
 (287 287 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (287 287 (:REWRITE DEFAULT-*-2))
 (287 287 (:REWRITE DEFAULT-*-1))
 (256 64 (:REWRITE REV-WHEN-NOT-CONSP))
 (248 248 (:LINEAR ADE::A-HELPFUL-LEMMA-FOR-TREE-INDUCTIONS))
 (238 26 (:DEFINITION PAIRLIS$))
 (216 42 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (216 42 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (205 205 (:REWRITE DEFAULT-<-1))
 (188 94 (:REWRITE |(< d (+ c x))|))
 (184 184 (:TYPE-PRESCRIPTION PREFIXP))
 (160 20 (:DEFINITION BINARY-APPEND))
 (150 42 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (150 42 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (148 40 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (126 18 (:REWRITE ADE::CAR-V-THREEFIX))
 (120 120 (:REWRITE |(equal (- x) (- y))|))
 (104 52 (:DEFINITION ADE::3V-FIX))
 (96 48 (:REWRITE |(* y x)|))
 (94 94 (:REWRITE |(< (+ c x) d)|))
 (84 84 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (84 84 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (84 84 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (84 84 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (84 84 (:REWRITE DEFAULT-UNARY-MINUS))
 (72 24 (:REWRITE |(* y (* x z))|))
 (52 52 (:TYPE-PRESCRIPTION ADE::3VP))
 (48 48 (:REWRITE NORMALIZE-TERMS-SUCH-AS-1/AX+BX))
 (48 48 (:REWRITE DEFAULT-UNARY-/))
 (48 48 (:REWRITE |(* a (/ a))|))
 (48 8 (:REWRITE ADE::GCD-BODY2$OUT-ACT-INACTIVE))
 (47 47 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-A+AB))
 (47 47 (:REWRITE |(< 0 (- x))|))
 (42 42 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (42 42 (:TYPE-PRESCRIPTION ADE::FV-<))
 (32 32 (:TYPE-PRESCRIPTION BOOLEANP))
 (32 8 (:REWRITE ADE::GCD-BODY2$IN-ACT-INACTIVE))
 (24 24 (:REWRITE |(* c (* d x))|))
 (20 20 (:REWRITE CONSP-OF-TAKE))
 (18 4 (:TYPE-PRESCRIPTION ADE::BOOLEANP-IF*))
 (16 8 (:TYPE-PRESCRIPTION ADE::BOOLEANP-GCD-BODY2$IN-ACT))
 (8 8 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$IN-ACT))
 (4 4 (:REWRITE |(* (- x) y)|))
 (4 2 (:REWRITE BOOL-FIX-UNDER-IFF))
 )
(ADE::GCD-BODY2$EXTRACT-LEMMA
 (330 269 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$INPUT-FORMAT-LEMMA-1))
 (252 220 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$INPUT-FORMAT-LEMMA-2))
 (226 31 (:DEFINITION STRIP-CARS))
 (226 3 (:REWRITE ADE::GCD-BODY2$IN-OUT-ACTS-MUTUALLY-EXCLUSIVE))
 (169 169 (:REWRITE NTH-WHEN-PREFIXP))
 (89 89 (:REWRITE DEFAULT-CAR))
 (86 86 (:REWRITE DEFAULT-CDR))
 (72 15 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (72 15 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (72 15 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (68 34 (:TYPE-PRESCRIPTION ADE::BOOLEANP-GCD-BODY2$OUT-ACT))
 (57 3 (:REWRITE ADE::GCD-BODY2$OUT-ACT-INACTIVE))
 (39 3 (:DEFINITION NTHCDR))
 (37 23 (:REWRITE DEFAULT-+-2))
 (33 3 (:REWRITE |(+ (+ x y) z)|))
 (23 23 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (23 23 (:REWRITE NORMALIZE-ADDENDS))
 (23 23 (:REWRITE DEFAULT-+-1))
 (18 3 (:DEFINITION BINARY-APPEND))
 (15 15 (:TYPE-PRESCRIPTION STRIP-CARS))
 (15 15 (:REWRITE |(equal (- x) (- y))|))
 (15 6 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (15 3 (:REWRITE |(+ y x)|))
 (15 3 (:REWRITE |(+ c (+ d x))|))
 (14 2 (:TYPE-PRESCRIPTION ADE::BOOLEANP-JOINT-ACT))
 (12 6 (:TYPE-PRESCRIPTION ADE::BOOLEANP-GCD-BODY2$IN-ACT))
 (7 7 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (7 7 (:REWRITE DEFAULT-*-2))
 (7 7 (:REWRITE DEFAULT-*-1))
 (6 6 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$IN-ACT))
 (2 2 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (2 2 (:TYPE-PRESCRIPTION BOOLEANP))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-A+AB))
 (1 1 (:REWRITE SIMPLIFY-SUMS-<))
 (1 1 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (1 1 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (1 1 (:REWRITE ADE::NTHCDR-CONS))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE |(< 0 (- x))|))
 (1 1 (:REWRITE |(< (- x) (- y))|))
 )
(ADE::GCD-BODY2$IN-SEQ
 (12 6 (:TYPE-PRESCRIPTION ADE::BOOLEANP-GCD-BODY2$IN-ACT))
 (6 6 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$INPUT-FORMAT))
 )
(ADE::GCD-BODY2$IN-SEQ-NETLIST
 (6 6 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$INPUT-FORMAT-LEMMA-1))
 )
(ADE::GCD-BODY2$IN-SEQ-LEMMA
 (756 204 (:REWRITE DEFAULT-CAR))
 (725 65 (:REWRITE ZP-OPEN))
 (592 296 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (520 40 (:DEFINITION NTHCDR))
 (440 40 (:REWRITE |(+ (+ x y) z)|))
 (410 58 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (410 58 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (410 58 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (396 40 (:REWRITE ADE::F-GATES=B-GATES))
 (360 40 (:REWRITE |(< d (+ c x))|))
 (330 330 (:REWRITE NTH-WHEN-PREFIXP))
 (296 296 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (280 56 (:REWRITE |(+ c (+ d x))|))
 (213 35 (:DEFINITION BINARY-APPEND))
 (200 40 (:REWRITE |(+ y x)|))
 (198 162 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$INPUT-FORMAT-LEMMA-2))
 (176 176 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (176 176 (:REWRITE NORMALIZE-ADDENDS))
 (176 176 (:REWRITE DEFAULT-+-2))
 (176 176 (:REWRITE DEFAULT-+-1))
 (166 70 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (144 36 (:REWRITE ADE::GCD-BODY2$IN-ACT-INACTIVE))
 (131 131 (:REWRITE DEFAULT-CDR))
 (104 104 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (92 92 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (90 90 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$STEP))
 (84 14 (:REWRITE ADE::GCD-BODY2$OUT-ACT-INACTIVE))
 (64 64 (:REWRITE SIMPLIFY-SUMS-<))
 (64 64 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (64 64 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (64 64 (:REWRITE DEFAULT-<-2))
 (64 64 (:REWRITE DEFAULT-<-1))
 (64 64 (:REWRITE |(< (- x) (- y))|))
 (58 58 (:REWRITE |(equal (- x) (- y))|))
 (42 14 (:REWRITE ADE::GCD-BODY2$IN-OUT-ACTS-MUTUALLY-EXCLUSIVE))
 (40 40 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (40 40 (:REWRITE DEFAULT-*-2))
 (40 40 (:REWRITE DEFAULT-*-1))
 (28 28 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$VALID-ST))
 (18 18 (:TYPE-PRESCRIPTION ADE::DE))
 (12 12 (:REWRITE ADE::GCD-BODY2$INPUT-FORMAT-PLUS))
 (6 6 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 )
(ADE::GCD-BODY2$OUT-SEQ
 (12 6 (:TYPE-PRESCRIPTION ADE::BOOLEANP-GCD-BODY2$OUT-ACT))
 (6 6 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$INPUT-FORMAT))
 )
(ADE::GCD-BODY2$OUT-SEQ-NETLIST
 (6 6 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$INPUT-FORMAT-LEMMA-2))
 )
(ADE::GCD-BODY2$OUT-SEQ-LEMMA
 (725 65 (:REWRITE ZP-OPEN))
 (700 388 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$INPUT-FORMAT-LEMMA-1))
 (597 201 (:REWRITE DEFAULT-CAR))
 (592 296 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (550 46 (:DEFINITION NTHCDR))
 (466 72 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (466 72 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (466 72 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (440 40 (:REWRITE |(+ (+ x y) z)|))
 (398 36 (:REWRITE ADE::GCD-BODY2$OUT-ACT-INACTIVE))
 (396 40 (:REWRITE ADE::F-GATES=B-GATES))
 (360 40 (:REWRITE |(< d (+ c x))|))
 (352 352 (:REWRITE NTH-WHEN-PREFIXP))
 (296 296 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (280 56 (:REWRITE |(+ c (+ d x))|))
 (213 35 (:DEFINITION BINARY-APPEND))
 (200 40 (:REWRITE |(+ y x)|))
 (176 176 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (176 176 (:REWRITE NORMALIZE-ADDENDS))
 (176 176 (:REWRITE DEFAULT-+-2))
 (176 176 (:REWRITE DEFAULT-+-1))
 (166 70 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (155 137 (:REWRITE DEFAULT-CDR))
 (138 36 (:REWRITE ADE::GCD-BODY2$IN-OUT-ACTS-MUTUALLY-EXCLUSIVE))
 (104 104 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (92 92 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$VALID-ST))
 (92 92 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (72 72 (:REWRITE |(equal (- x) (- y))|))
 (64 64 (:REWRITE SIMPLIFY-SUMS-<))
 (64 64 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (64 64 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (64 64 (:REWRITE DEFAULT-<-2))
 (64 64 (:REWRITE DEFAULT-<-1))
 (64 64 (:REWRITE |(< (- x) (- y))|))
 (60 60 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$STEP))
 (56 14 (:REWRITE ADE::GCD-BODY2$IN-ACT-INACTIVE))
 (40 40 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (40 40 (:REWRITE DEFAULT-*-2))
 (40 40 (:REWRITE DEFAULT-*-1))
 (30 10 (:REWRITE ADE::GCD-BODY2$VALID-ST-PRESERVED))
 (29 29 (:REWRITE ADE::GCD-BODY2$EXTRACT-LEMMA))
 (12 12 (:TYPE-PRESCRIPTION ADE::DE))
 (12 12 (:REWRITE ADE::GCD-BODY2$INPUT-FORMAT-PLUS))
 (6 6 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 )
(ADE::GCD-BODY2$DATAFLOW-CORRECT-AUX
 (184 172 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (43 12 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (22 8 (:REWRITE DEFAULT-CDR))
 (10 10 (:REWRITE DEFAULT-CAR))
 (10 1 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (10 1 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (10 1 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (6 2 (:REWRITE CAR-OF-APPEND))
 (6 2 (:DEFINITION ADE::GCD-BODY2$OP-MAP))
 (5 5 (:REWRITE CONSP-OF-APPEND))
 (4 4 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (2 2 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (1 1 (:REWRITE |(equal (- x) (- y))|))
 )
(ADE::GCD-BODY2$DATAFLOW-CORRECT
 (1336 100 (:REWRITE ZP-OPEN))
 (645 69 (:REWRITE |(< d (+ c x))|))
 (348 9 (:DEFINITION NTHCDR))
 (212 43 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (212 43 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (212 43 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (197 120 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (187 187 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (186 20 (:REWRITE ADE::GCD-BODY2$OUT-ACT-INACTIVE))
 (181 151 (:REWRITE DEFAULT-CDR))
 (174 171 (:REWRITE DEFAULT-CAR))
 (163 163 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (162 18 (:DEFINITION LEN))
 (142 40 (:REWRITE ADE::GCD-BODY2$IN-ACT-INACTIVE))
 (138 118 (:REWRITE SIMPLIFY-SUMS-<))
 (137 2 (:REWRITE TAKE-OF-TOO-MANY))
 (131 98 (:REWRITE DEFAULT-+-2))
 (130 117 (:REWRITE DEFAULT-<-2))
 (129 120 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (120 120 (:REWRITE |(< (- x) (- y))|))
 (117 117 (:REWRITE DEFAULT-<-1))
 (115 115 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$INPUT-FORMAT-LEMMA-2))
 (104 100 (:REWRITE NORMALIZE-ADDENDS))
 (99 9 (:REWRITE |(+ (+ x y) z)|))
 (98 98 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (98 98 (:REWRITE DEFAULT-+-1))
 (96 21 (:REWRITE |(+ c (+ d x))|))
 (95 1 (:DEFINITION TAKE))
 (92 92 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$IN-SEQ))
 (68 68 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$INPUT-FORMAT-LEMMA-1))
 (57 57 (:REWRITE NTH-WHEN-PREFIXP))
 (53 11 (:REWRITE |(+ y x)|))
 (51 1 (:REWRITE CONSP-OF-TAKE))
 (48 48 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$STEP))
 (43 43 (:REWRITE |(equal (- x) (- y))|))
 (22 2 (:REWRITE ADE::NFIX-OF-NAT))
 (22 2 (:LINEAR ADE::GCD-BODY2$EXTRACT-NOT-EMPTY))
 (16 2 (:DEFINITION NATP))
 (14 14 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$RUN))
 (12 12 (:REWRITE ADE::GCD-BODY2$RUN-PLUS))
 (12 12 (:REWRITE ADE::GCD-BODY2$INPUT-FORMAT-PLUS))
 (8 8 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (8 2 (:REWRITE TAKE-WHEN-ATOM))
 (6 6 (:LINEAR LEN-WHEN-PREFIXP))
 (6 2 (:REWRITE ADE::GCD-BODY2$INV-PRESERVED))
 (5 1 (:REWRITE |(+ y (+ x z))|))
 (4 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (4 2 (:REWRITE BUBBLE-DOWN-+-MATCH-1))
 (3 3 (:LINEAR ADE::A-HELPFUL-LEMMA-FOR-TREE-INDUCTIONS))
 (3 2 (:REWRITE |(< (+ c x) d)|))
 (3 2 (:REWRITE |(+ 0 x)|))
 (2 2 (:TYPE-PRESCRIPTION NFIX))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:REWRITE |(+ x (- x))|))
 )
(ADE::GCD-BODY2$FUNCTIONALLY-CORRECT
 (414 4 (:DEFINITION ADE::GCD-BODY2$OUT-SEQ))
 (166 4 (:REWRITE ADE::GCD-BODY2$EXTRACT-LEMMA))
 (164 4 (:DEFINITION ADE::GCD-BODY2$IN-SEQ))
 (120 3 (:DEFINITION NTHCDR))
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 (76 4 (:REWRITE ADE::GCD-BODY2$OUT-ACT-INACTIVE))
 (63 15 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (63 15 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (63 15 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (52 52 (:TYPE-PRESCRIPTION ZP))
 (52 52 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$INPUT-FORMAT-LEMMA-2))
 (52 26 (:TYPE-PRESCRIPTION ADE::BOOLEANP-GCD-BODY2$IN-ACT))
 (46 46 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$INPUT-FORMAT))
 (43 34 (:REWRITE DEFAULT-CDR))
 (42 3 (:REWRITE |(< d (+ c x))|))
 (40 20 (:TYPE-PRESCRIPTION ADE::BOOLEANP-GCD-BODY2$OUT-ACT))
 (39 39 (:TYPE-PRESCRIPTION LEN))
 (33 3 (:REWRITE |(+ (+ x y) z)|))
 (28 28 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$IN-SEQ))
 (28 28 (:REWRITE DEFAULT-CAR))
 (27 3 (:DEFINITION LEN))
 (26 26 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$IN-ACT))
 (26 20 (:REWRITE DEFAULT-+-2))
 (24 6 (:REWRITE ADE::OPEN-GCD-BODY2$INPUT-FORMAT-N-ZP))
 (24 6 (:REWRITE ADE::OPEN-GCD-BODY2$INPUT-FORMAT-N))
 (24 4 (:REWRITE ADE::GCD-BODY2$IN-OUT-ACTS-MUTUALLY-EXCLUSIVE))
 (20 20 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$OUT-ACT))
 (20 20 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (20 20 (:REWRITE NORMALIZE-ADDENDS))
 (20 20 (:REWRITE DEFAULT-+-1))
 (20 4 (:DEFINITION ADE::GCD-BODY2$OP-MAP))
 (19 19 (:TYPE-PRESCRIPTION ADE::DE-N))
 (16 4 (:REWRITE ADE::OPEN-DE-N-ZP))
 (16 4 (:REWRITE ADE::OPEN-DE-N))
 (16 4 (:REWRITE ADE::GCD-BODY2$IN-ACT-INACTIVE))
 (15 15 (:REWRITE |(equal (- x) (- y))|))
 (15 3 (:REWRITE |(+ y x)|))
 (15 3 (:REWRITE |(+ c (+ d x))|))
 (14 14 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$RUN))
 (12 3 (:REWRITE ADE::OPEN-GCD-BODY2$RUN-ZP))
 (12 3 (:REWRITE ADE::OPEN-GCD-BODY2$RUN))
 (8 8 (:TYPE-PRESCRIPTION ADE::GCD-BODY2$INPUT-FORMAT-LEMMA-1))
 (8 8 (:REWRITE NTH-WHEN-PREFIXP))
 (6 6 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (6 6 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (6 3 (:REWRITE SIMPLIFY-SUMS-<))
 (6 3 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (6 3 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (6 3 (:REWRITE DEFAULT-<-2))
 (3 3 (:REWRITE DEFAULT-<-1))
 (3 3 (:REWRITE |(< (- x) (- y))|))
 )