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 (109 109 (:META CANCEL-FACTORS-GATHER-EXPONENTS-EQUAL-THM))
 (109 109 (:META CANCEL-ADDENDS-EQUAL-THM))
 (102 102 (:REWRITE MOD-X-Y-=-X---Y . 1))
 (102 102 (:REWRITE MOD-X-Y-=-X-+-Y . 1))
 (102 102 (:REWRITE MOD-COMPLETION))
 (95 95 (:REWRITE |Non-numeric x in (+ x y)|))
 (53 53 (:REWRITE |(* c (* d x))|))
 (35 4 (:REWRITE X*Y>=1-POSITIVE))
 (20 5 (:REWRITE |(* (if x y z) w)|))
 (17 17 (:REWRITE |(+ c (+ d x))|))
 (14 4 (:LINEAR /-STRONGLY-MONOTONIC))
 (8 8 (:REWRITE FOLD-CONSTS-IN-+))
 (4 4 (:REWRITE |Non-numeric x in (- x)|))
 (4 4 (:REWRITE COLLECT-TIMES-0C))
 (4 4 (:LINEAR /-WEAKLY-MONOTONIC))
 (3 3 (:TYPE-PRESCRIPTION FLOOR-ZERO))
 (3 3 (:TYPE-PRESCRIPTION FLOOR-POSITIVE))
 (3 3 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE))
 (3 3 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE))
 (3 3 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE))
 (3 3 (:REWRITE MOD-ZERO . 2))
 )
(M6::INTEGERP-MULTIPLY)
(M6::INT-FIX-MULTIPLY
 (34610 458 (:REWRITE MOD-X-Y-=-X . 1))
 (33499 7359 (:TYPE-PRESCRIPTION MOD-POSITIVE))
 (33229 7305 (:TYPE-PRESCRIPTION MOD-ZERO))
 (18056 458 (:REWRITE MOD-ZERO . 1))
 (15332 15332 (:TYPE-PRESCRIPTION NINTEGERP-3A))
 (15332 15332 (:TYPE-PRESCRIPTION NINTEGERP-2A))
 (15332 15332 (:TYPE-PRESCRIPTION NINTEGERP-1A))
 (7359 7359 (:TYPE-PRESCRIPTION MOD-NEGATIVE))
 (7305 7305 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (5068 1828 (:REWRITE |Non-Numeric y in (* x y)|))
 (4988 100 (:LINEAR MOD-BOUNDS-3))
 (3722 458 (:REWRITE MOD-X-Y-=-X---Y . 1))
 (3595 1365 (:REWRITE |Non-Numeric x in (< x y)|))
 (3595 1365 (:REWRITE DEFAULT-<-1))
 (3344 1712 (:TYPE-PRESCRIPTION NINTEGERP-4B))
 (2906 458 (:REWRITE MOD-X-Y-=-X-+-Y . 1))
 (2280 96 (:REWRITE MOD-POSITIVE . 2))
 (1944 216 (:REWRITE |(< 0 (/ x))|))
 (1860 1828 (:REWRITE |Non-Numeric x in (* x y)|))
 (1732 916 (:REWRITE MOD-COMPLETION))
 (1712 1712 (:TYPE-PRESCRIPTION NINTEGERP-3B))
 (1712 1712 (:TYPE-PRESCRIPTION NINTEGERP-2B))
 (1546 718 (:META META-INTEGERP-CORRECT))
 (1386 386 (:REWRITE |Non-numeric y in (+ x y)|))
 (1381 1365 (:REWRITE |Non-Numeric y in (< x y)|))
 (1381 1365 (:REWRITE DEFAULT-<-2))
 (1030 206 (:REWRITE |(equal (/ x) 0)|))
 (950 4 (:REWRITE |(< (if x y z) w)|))
 (744 744 (:REWRITE |Non-Numeric x in (/ x)|))
 (718 718 (:REWRITE INTEGERP-1B))
 (520 200 (:LINEAR MOD-BOUNDS-2))
 (506 386 (:REWRITE |Non-numeric x in (+ x y)|))
 (495 495 (:META COLLECT-ADDENDS-THM))
 (492 452 (:LINEAR *-WEAKLY-MONOTONIC . 2))
 (492 452 (:LINEAR *-WEAKLY-MONOTONIC . 1))
 (482 452 (:LINEAR *-PRESERVES-<=-FOR-NONNEGATIVES))
 (458 458 (:REWRITE COLLECT-TIMES-0C))
 (452 452 (:LINEAR *-WEAKLY-MONOTONIC-NEGATIVE-MULTIPLIER . 2))
 (452 452 (:LINEAR *-WEAKLY-MONOTONIC-NEGATIVE-MULTIPLIER . 1))
 (452 452 (:LINEAR *-STRONGLY-MONOTONIC-NEGATIVE-MULTIPLIER . 2))
 (452 452 (:LINEAR *-STRONGLY-MONOTONIC-NEGATIVE-MULTIPLIER . 1))
 (452 452 (:LINEAR *-STRONGLY-MONOTONIC . 2))
 (452 452 (:LINEAR *-STRONGLY-MONOTONIC . 1))
 (452 452 (:LINEAR *-PRESERVES-<-FOR-NONNEGATIVES-STRONGER-2))
 (452 452 (:LINEAR *-PRESERVES-<-FOR-NONNEGATIVES-STRONGER-1))
 (452 452 (:LINEAR *-PRESERVES-<-FOR-NONNEGATIVES))
 (344 344 (:TYPE-PRESCRIPTION NINTEGERP-EXPT))
 (344 344 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGER))
 (296 2 (:REWRITE |(* (if x y z) w)|))
 (282 226 (:LINEAR X*Y>=1-POSITIVE))
 (282 226 (:LINEAR X*Y>1-POSITIVE))
 (236 236 (:REWRITE |(* 0 x)|))
 (236 236 (:META CANCEL-FACTORS-GATHER-EXPONENTS-EQUAL-THM))
 (236 236 (:META CANCEL-ADDENDS-EQUAL-THM))
 (80 80 (:REWRITE MOD-NEGATIVE . 2))
 (24 24 (:TYPE-PRESCRIPTION FLOOR-ZERO))
 (24 24 (:TYPE-PRESCRIPTION FLOOR-POSITIVE))
 (24 24 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE))
 (24 24 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE))
 (24 24 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE))
 (13 13 (:REWRITE |(* (- x) y)|))
 (8 8 (:REWRITE X*Y>=1-POSITIVE))
 (8 8 (:REWRITE FOLD-CONSTS-IN-+))
 (8 4 (:REWRITE COLLECT-PLUS-3))
 (4 4 (:REWRITE |Non-numeric x in (- x)|))
 (4 2 (:REWRITE |(+ x 0)|))
 (1 1 (:REWRITE |(* x (- y))|))
 )
(M6::FIRST-IS-CORRECT-5-X
 (298 149 (:TYPE-PRESCRIPTION JVM::LOADER-INV-IMPLIES-WFF-STATE))
 (149 149 (:TYPE-PRESCRIPTION JVM::LOADER-INV))
 (63 63 (:META PREFER-POSITIVE-ADDENDS-EQUAL-THM))
 (63 63 (:META CANCEL-FACTORS-GATHER-EXPONENTS-EQUAL-THM))
 (63 63 (:META CANCEL-ADDENDS-EQUAL-THM))
 (52 4 (:DEFINITION JVM::WFF-THREAD-TABLE-REGULAR))
 (36 12 (:REWRITE M6::EQUAL-ROUND-ROBIN-SCHEDULE-0))
 (32 4 (:DEFINITION JVM::WFF-THREAD-REGULAR))
 (18 16 (:REWRITE |Non-numeric y in (+ x y)|))
 (16 16 (:REWRITE |Non-numeric x in (+ x y)|))
 (10 8 (:REWRITE |Non-Numeric y in (* x y)|))
 (8 8 (:TYPE-PRESCRIPTION JVM::WFF-THREAD))
 (8 8 (:TYPE-PRESCRIPTION JVM::MAKE-THREAD))
 (8 8 (:REWRITE |Non-Numeric x in (* x y)|))
 (8 8 (:REWRITE DEFAULT-CAR))
 (8 8 (:META COLLECT-FACTORS-GATHER-EXPONENTS-THM))
 (8 4 (:REWRITE JVM::THREAD-ID-THREAD))
 (4 4 (:REWRITE INTEGERP-1B))
 (4 4 (:REWRITE INTEGERP-1A))
 (4 4 (:REWRITE DEFAULT-CDR))
 (4 4 (:META META-INTEGERP-CORRECT))
 )
