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|
(ADE::GCD-ALG
(103 3 (:REWRITE |(< (if a b c) x)|))
(45 5 (:REWRITE ACL2-NUMBERP-X))
(26 26 (:REWRITE THE-FLOOR-BELOW))
(26 26 (:REWRITE THE-FLOOR-ABOVE))
(26 26 (:REWRITE DEFAULT-LESS-THAN-2))
(26 26 (:REWRITE DEFAULT-LESS-THAN-1))
(23 23 (:REWRITE REMOVE-STRICT-INEQUALITIES))
(23 23 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
(23 23 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
(23 23 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
(23 23 (:REWRITE INTEGERP-<-CONSTANT))
(23 23 (:REWRITE CONSTANT-<-INTEGERP))
(23 23 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
(23 23 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
(23 23 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
(23 23 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
(23 23 (:REWRITE |(< c (- x))|))
(23 23 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
(23 23 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
(23 23 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
(23 23 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
(23 23 (:REWRITE |(< (/ x) (/ y))|))
(23 23 (:REWRITE |(< (- x) c)|))
(23 23 (:REWRITE |(< (- x) (- y))|))
(22 22 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
(20 5 (:REWRITE RATIONALP-X))
(13 13 (:REWRITE |(< (/ x) 0)|))
(13 13 (:REWRITE |(< (* x y) 0)|))
(11 11 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
(11 11 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
(8 8 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
(8 8 (:REWRITE ZP-OPEN))
(7 7 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
(6 6 (:REWRITE REDUCE-INTEGERP-+))
(6 6 (:REWRITE INTEGERP-MINUS-X))
(6 6 (:META META-INTEGERP-CORRECT))
(5 5 (:REWRITE REDUCE-RATIONALP-+))
(5 5 (:REWRITE REDUCE-RATIONALP-*))
(5 5 (:REWRITE RATIONALP-MINUS-X))
(5 5 (:REWRITE |(< (+ c/d x) y)|))
(5 5 (:REWRITE |(< (+ (- c) x) y)|))
(5 5 (:META META-RATIONALP-CORRECT))
(4 4 (:REWRITE SIMPLIFY-SUMS-EQUAL))
(4 4 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
(4 4 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
(4 4 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
(4 4 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
(4 4 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
(4 4 (:REWRITE DEFAULT-MINUS))
(4 4 (:REWRITE |(equal c (/ x))|))
(4 4 (:REWRITE |(equal c (- x))|))
(4 4 (:REWRITE |(equal (/ x) c)|))
(4 4 (:REWRITE |(equal (/ x) (/ y))|))
(4 4 (:REWRITE |(equal (- x) c)|))
(4 4 (:REWRITE |(equal (- x) (- y))|))
(3 3 (:REWRITE |(+ c (+ d x))|))
(2 2 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
(2 2 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
(2 2 (:REWRITE |(< y (+ (- c) x))|))
(2 2 (:REWRITE |(< x (+ c/d y))|))
(2 2 (:REWRITE |(< 0 (/ x))|))
(2 2 (:REWRITE |(< 0 (* x y))|))
)
(ADE::GCD-ALG-IS-POSITIVE
(25 5 (:REWRITE |(+ y x)|))
(21 21 (:REWRITE THE-FLOOR-BELOW))
(21 21 (:REWRITE THE-FLOOR-ABOVE))
(21 21 (:REWRITE SIMPLIFY-SUMS-<))
(21 21 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
(21 21 (:REWRITE REMOVE-WEAK-INEQUALITIES))
(21 21 (:REWRITE REMOVE-STRICT-INEQUALITIES))
(21 21 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
(21 21 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
(21 21 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
(21 21 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
(21 21 (:REWRITE INTEGERP-<-CONSTANT))
(21 21 (:REWRITE DEFAULT-LESS-THAN-2))
(21 21 (:REWRITE DEFAULT-LESS-THAN-1))
(21 21 (:REWRITE CONSTANT-<-INTEGERP))
(21 21 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
(21 21 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
(21 21 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
(21 21 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
(21 21 (:REWRITE |(< c (- x))|))
(21 21 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
(21 21 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
(21 21 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
(21 21 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
(21 21 (:REWRITE |(< (/ x) (/ y))|))
(21 21 (:REWRITE |(< (- x) c)|))
(21 21 (:REWRITE |(< (- x) (- y))|))
(15 15 (:REWRITE DEFAULT-PLUS-2))
(15 15 (:REWRITE DEFAULT-PLUS-1))
(15 10 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
(15 10 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
(10 10 (:REWRITE SIMPLIFY-SUMS-EQUAL))
(10 10 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
(10 10 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
(10 10 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
(10 10 (:REWRITE NORMALIZE-ADDENDS))
(10 10 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
(10 10 (:REWRITE DEFAULT-MINUS))
(10 10 (:REWRITE |(equal c (/ x))|))
(10 10 (:REWRITE |(equal c (- x))|))
(10 10 (:REWRITE |(equal (/ x) c)|))
(10 10 (:REWRITE |(equal (/ x) (/ y))|))
(10 10 (:REWRITE |(equal (- x) c)|))
(10 10 (:REWRITE |(equal (- x) (- y))|))
(8 8 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
(8 8 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
(8 8 (:REWRITE |(< (/ x) 0)|))
(8 8 (:REWRITE |(< (* x y) 0)|))
(7 7 (:REWRITE REDUCE-INTEGERP-+))
(7 7 (:REWRITE INTEGERP-MINUS-X))
(7 7 (:META META-INTEGERP-CORRECT))
(6 6 (:REWRITE ZP-OPEN))
(6 6 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
(6 6 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
(6 6 (:REWRITE |(< 0 (/ x))|))
(6 6 (:REWRITE |(< 0 (* x y))|))
(5 5 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
)
(ADE::GCD-ALG-COMMUTATIVE
(495 15 (:DEFINITION POSP))
(55 55 (:REWRITE THE-FLOOR-BELOW))
(55 55 (:REWRITE THE-FLOOR-ABOVE))
(55 55 (:REWRITE SIMPLIFY-SUMS-<))
(55 55 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
(55 55 (:REWRITE REMOVE-STRICT-INEQUALITIES))
(55 55 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
(55 55 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
(55 55 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
(55 55 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
(55 55 (:REWRITE INTEGERP-<-CONSTANT))
(55 55 (:REWRITE DEFAULT-LESS-THAN-2))
(55 55 (:REWRITE DEFAULT-LESS-THAN-1))
(55 55 (:REWRITE CONSTANT-<-INTEGERP))
(55 55 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
(55 55 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
(55 55 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
(55 55 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
(55 55 (:REWRITE |(< c (- x))|))
(55 55 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
(55 55 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
(55 55 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
(55 55 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
(55 55 (:REWRITE |(< (/ x) (/ y))|))
(55 55 (:REWRITE |(< (- x) c)|))
(55 55 (:REWRITE |(< (- x) (- y))|))
(40 40 (:REWRITE REMOVE-WEAK-INEQUALITIES))
(25 13 (:REWRITE SIMPLIFY-SUMS-EQUAL))
(25 13 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
(25 13 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
(21 21 (:REWRITE REDUCE-INTEGERP-+))
(21 21 (:REWRITE INTEGERP-MINUS-X))
(21 21 (:META META-INTEGERP-CORRECT))
(20 4 (:REWRITE |(+ y x)|))
(16 16 (:REWRITE ZP-OPEN))
(16 16 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
(16 16 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
(16 16 (:REWRITE |(< (/ x) 0)|))
(16 16 (:REWRITE |(< (* x y) 0)|))
(15 15 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
(15 15 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
(15 15 (:REWRITE |(< 0 (/ x))|))
(15 15 (:REWRITE |(< 0 (* x y))|))
(13 13 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
(13 13 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
(13 13 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
(13 13 (:REWRITE |(equal c (/ x))|))
(13 13 (:REWRITE |(equal c (- x))|))
(13 13 (:REWRITE |(equal (/ x) c)|))
(13 13 (:REWRITE |(equal (/ x) (/ y))|))
(13 13 (:REWRITE |(equal (- x) c)|))
(13 13 (:REWRITE |(equal (- x) (- y))|))
(12 12 (:REWRITE DEFAULT-PLUS-2))
(12 12 (:REWRITE DEFAULT-PLUS-1))
(8 8 (:TYPE-PRESCRIPTION POSP))
(8 8 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
(8 8 (:REWRITE NORMALIZE-ADDENDS))
(8 8 (:REWRITE DEFAULT-MINUS))
)
(ADE::GCD-ALG-IS-COMMON-DIVISOR
(9341 20 (:REWRITE MOD-X-Y-=-X-Y . 1))
(5431 20 (:REWRITE MOD-X-Y-=-X+Y . 1))
(4882 4882 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
(4882 4882 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
(4882 4882 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
(3432 126 (:DEFINITION POSP))
(3352 888 (:TYPE-PRESCRIPTION MOD-POSITIVE . 2))
(3352 888 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
(2873 62 (:REWRITE CANCEL-MOD-+))
(2754 448 (:REWRITE DEFAULT-PLUS-2))
(2580 153 (:REWRITE SIMPLIFY-SUMS-EQUAL))
(2157 62 (:REWRITE MOD-X-Y-=-X . 3))
(1399 448 (:REWRITE DEFAULT-PLUS-1))
(1256 62 (:REWRITE MOD-X-Y-=-X . 2))
(1225 74 (:REWRITE MOD-X-Y-=-X+Y . 2))
(1127 62 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
(1117 62 (:REWRITE |(mod (+ x (mod a b)) y)|))
(971 77 (:REWRITE DEFAULT-MOD-RATIO))
(888 888 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
(888 888 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
(870 870 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
(870 870 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
(785 399 (:REWRITE DEFAULT-LESS-THAN-1))
(757 370 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
(724 724 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
(720 177 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
(628 62 (:REWRITE MOD-X-Y-=-X . 4))
(594 316 (:REWRITE DEFAULT-TIMES-2))
(562 399 (:REWRITE DEFAULT-LESS-THAN-2))
(484 163 (:REWRITE DEFAULT-MINUS))
(451 73 (:REWRITE MOD-ZERO . 4))
(418 219 (:REWRITE DEFAULT-DIVIDE))
(416 13 (:REWRITE MOD-ZERO . 1))
(409 397 (:REWRITE |(< (- x) (- y))|))
(400 400 (:REWRITE THE-FLOOR-BELOW))
(400 400 (:REWRITE THE-FLOOR-ABOVE))
(397 397 (:REWRITE REMOVE-STRICT-INEQUALITIES))
(397 397 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
(397 397 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
(397 397 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
(397 397 (:REWRITE INTEGERP-<-CONSTANT))
(397 397 (:REWRITE CONSTANT-<-INTEGERP))
(397 397 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
(397 397 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
(397 397 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
(397 397 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
(397 397 (:REWRITE |(< c (- x))|))
(397 397 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
(397 397 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
(397 397 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
(397 397 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
(397 397 (:REWRITE |(< (/ x) (/ y))|))
(397 397 (:REWRITE |(< (- x) c)|))
(384 76 (:REWRITE MOD-X-Y-=-X-Y . 3))
(374 74 (:REWRITE MOD-X-Y-=-X+Y . 3))
(358 13 (:REWRITE MOD-ZERO . 2))
(330 58 (:LINEAR MOD-BOUNDS-2))
(316 316 (:REWRITE DEFAULT-TIMES-1))
(237 237 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
(233 62 (:REWRITE MOD-CANCEL-*-CONST))
(220 177 (:REWRITE |(equal (- x) (- y))|))
(219 219 (:REWRITE NORMALIZE-TERMS-SUCH-AS-1/AX+BX))
(216 177 (:REWRITE |(equal (- x) c)|))
(208 62 (:REWRITE MOD-CANCEL-*-REWRITING-GOAL-LITERAL))
(178 57 (:REWRITE |(mod x (* y (/ z))) rewriting-goal-literal|))
(178 57 (:REWRITE |(mod (* x (/ y)) z) rewriting-goal-literal|))
(177 177 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
(177 177 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
(177 177 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
(177 177 (:REWRITE |(equal c (/ x))|))
(177 177 (:REWRITE |(equal c (- x))|))
(177 177 (:REWRITE |(equal (/ x) c)|))
(177 177 (:REWRITE |(equal (/ x) (/ y))|))
(162 162 (:REWRITE |(< 0 (/ x))|))
(162 162 (:REWRITE |(< 0 (* x y))|))
(159 159 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
(159 159 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
(156 42 (:REWRITE ZP-OPEN))
(151 141 (:REWRITE INTEGERP-MINUS-X))
(142 77 (:REWRITE DEFAULT-MOD-2))
(142 62 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
(141 141 (:REWRITE REDUCE-INTEGERP-+))
(141 141 (:META META-INTEGERP-CORRECT))
(137 57 (:REWRITE |(mod x (* y (/ z))) not rewriting-goal-literal|))
(137 57 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
(136 4 (:REWRITE |(* (+ x y) z)|))
(130 60 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
(105 105 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
(102 102 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
(98 98 (:TYPE-PRESCRIPTION POSP))
(83 75 (:REWRITE |(- (* c x))|))
(77 77 (:REWRITE DEFAULT-MOD-1))
(74 74 (:REWRITE |(< (/ x) 0)|))
(74 74 (:REWRITE |(< (* x y) 0)|))
(62 62 (:REWRITE |(mod x (- y))| . 3))
(62 62 (:REWRITE |(mod x (- y))| . 2))
(62 62 (:REWRITE |(mod x (- y))| . 1))
(62 62 (:REWRITE |(mod (- x) y)| . 3))
(62 62 (:REWRITE |(mod (- x) y)| . 2))
(57 9 (:REWRITE |(+ x x)|))
(47 47 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
(47 47 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
(45 1 (:REWRITE |(equal (mod a n) (mod b n))|))
(40 20 (:REWRITE |(equal (mod (+ x y) z) x)|))
(38 38 (:REWRITE |(equal (+ (- c) x) y)|))
(20 2 (:REWRITE |(* x (- y))|))
(19 2 (:REWRITE |(- (+ x y))|))
(18 18 (:REWRITE |(+ c (+ d x))|))
(16 3 (:REWRITE |(* a (/ a))|))
(12 12 (:REWRITE |(< (+ c/d x) y)|))
(12 12 (:REWRITE |(< (+ (- c) x) y)|))
(9 9 (:REWRITE |(< y (+ (- c) x))|))
(9 9 (:REWRITE |(< x (+ c/d y))|))
(4 1 (:REWRITE |(* y x)|))
(3 3 (:REWRITE INTEGERP-+-REDUCE-CONSTANT))
(2 2 (:REWRITE FOLD-CONSTS-IN-+))
(2 2 (:REWRITE |(mod (+ x y) z) where (<= 0 z)| . 3))
(2 2 (:REWRITE |(mod (+ x y) z) where (<= 0 z)| . 2))
(1 1 (:REWRITE MOD-NEGATIVE . 3))
(1 1 (:REWRITE MOD-NEGATIVE . 2))
(1 1 (:REWRITE |(* 0 x)|))
)
(ADE::GCD-ALG-IS-LARGEST-COMMON-DIVISOR-MOD
(12216 69 (:REWRITE MOD-X-Y-=-X-Y . 1))
(9660 210 (:LINEAR MOD-BOUNDS-2))
(9660 210 (:LINEAR MOD-BOUNDS-1))
(9267 9267 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
(9267 9267 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
(9267 9267 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
(7225 1298 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
(5951 69 (:REWRITE MOD-X-Y-=-X+Y . 1))
(5909 796 (:REWRITE RATIONALP-X))
(5192 2236 (:TYPE-PRESCRIPTION MOD-POSITIVE . 2))
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)
|
