(IFP)
(TEST)
(TB)
(FB)
(IF-EXPRP
 (790 359 (:REWRITE DEFAULT-+-2))
 (480 359 (:REWRITE DEFAULT-+-1))
 (242 242 (:REWRITE DEFAULT-CDR))
 (224 56 (:REWRITE COMMUTATIVITY-OF-+))
 (224 56 (:DEFINITION INTEGER-ABS))
 (224 28 (:DEFINITION LENGTH))
 (96 69 (:REWRITE DEFAULT-<-2))
 (85 85 (:REWRITE DEFAULT-CAR))
 (82 69 (:REWRITE DEFAULT-<-1))
 (56 56 (:REWRITE DEFAULT-UNARY-MINUS))
 (28 28 (:REWRITE DEFAULT-REALPART))
 (28 28 (:REWRITE DEFAULT-NUMERATOR))
 (28 28 (:REWRITE DEFAULT-IMAGPART))
 (28 28 (:REWRITE DEFAULT-DENOMINATOR))
 (28 28 (:REWRITE DEFAULT-COERCE-2))
 (28 28 (:REWRITE DEFAULT-COERCE-1))
 )
(IF-N)
(IF-DEPTH
 (199 98 (:REWRITE DEFAULT-+-2))
 (132 98 (:REWRITE DEFAULT-+-1))
 (88 22 (:REWRITE COMMUTATIVITY-OF-+))
 (88 22 (:DEFINITION INTEGER-ABS))
 (88 11 (:DEFINITION LENGTH))
 (55 11 (:DEFINITION LEN))
 (34 28 (:REWRITE DEFAULT-<-2))
 (33 28 (:REWRITE DEFAULT-<-1))
 (29 29 (:REWRITE DEFAULT-CDR))
 (22 22 (:REWRITE DEFAULT-UNARY-MINUS))
 (11 11 (:TYPE-PRESCRIPTION LEN))
 (11 11 (:REWRITE NUMERATOR-WHEN-INTEGERP))
 (11 11 (:REWRITE INTEGERP==>DENOMINATOR=1))
 (11 11 (:REWRITE DEFAULT-REALPART))
 (11 11 (:REWRITE DEFAULT-NUMERATOR))
 (11 11 (:REWRITE DEFAULT-IMAGPART))
 (11 11 (:REWRITE DEFAULT-DENOMINATOR))
 (11 11 (:REWRITE DEFAULT-COERCE-2))
 (11 11 (:REWRITE DEFAULT-COERCE-1))
 )
(IF-COMPLEXITY
 (863 398 (:REWRITE DEFAULT-+-2))
 (539 398 (:REWRITE DEFAULT-+-1))
 (328 82 (:REWRITE COMMUTATIVITY-OF-+))
 (328 82 (:DEFINITION INTEGER-ABS))
 (328 41 (:DEFINITION LENGTH))
 (205 41 (:DEFINITION LEN))
 (129 101 (:REWRITE DEFAULT-<-2))
 (114 101 (:REWRITE DEFAULT-<-1))
 (82 82 (:REWRITE DEFAULT-UNARY-MINUS))
 (41 41 (:TYPE-PRESCRIPTION LEN))
 (41 41 (:REWRITE NUMERATOR-WHEN-INTEGERP))
 (41 41 (:REWRITE INTEGERP==>DENOMINATOR=1))
 (41 41 (:REWRITE DEFAULT-REALPART))
 (41 41 (:REWRITE DEFAULT-NUMERATOR))
 (41 41 (:REWRITE DEFAULT-IMAGPART))
 (41 41 (:REWRITE DEFAULT-DENOMINATOR))
 (41 41 (:REWRITE DEFAULT-COERCE-2))
 (41 41 (:REWRITE DEFAULT-COERCE-1))
 )
(IF-N
 (1720 758 (:REWRITE DEFAULT-*-2))
 (1605 607 (:REWRITE DEFAULT-+-2))
 (1466 758 (:REWRITE DEFAULT-*-1))
 (1353 607 (:REWRITE DEFAULT-+-1))
 (123 58 (:REWRITE DEFAULT-<-1))
 (119 58 (:REWRITE DEFAULT-<-2))
 (20 20 (:REWRITE FOLD-CONSTS-IN-*))
 (10 10 (:REWRITE EQUAL-CONSTANT-+))
 (1 1 (:TYPE-PRESCRIPTION IF-N))
 )
(NATM
 (863 398 (:REWRITE DEFAULT-+-2))
 (539 398 (:REWRITE DEFAULT-+-1))
 (328 82 (:REWRITE COMMUTATIVITY-OF-+))
 (328 82 (:DEFINITION INTEGER-ABS))
 (328 41 (:DEFINITION LENGTH))
 (205 41 (:DEFINITION LEN))
 (129 101 (:REWRITE DEFAULT-<-2))
 (114 101 (:REWRITE DEFAULT-<-1))
 (82 82 (:REWRITE DEFAULT-UNARY-MINUS))
 (41 41 (:TYPE-PRESCRIPTION LEN))
 (41 41 (:REWRITE NUMERATOR-WHEN-INTEGERP))
 (41 41 (:REWRITE INTEGERP==>DENOMINATOR=1))
 (41 41 (:REWRITE DEFAULT-REALPART))
 (41 41 (:REWRITE DEFAULT-NUMERATOR))
 (41 41 (:REWRITE DEFAULT-IMAGPART))
 (41 41 (:REWRITE DEFAULT-DENOMINATOR))
 (41 41 (:REWRITE DEFAULT-COERCE-2))
 (41 41 (:REWRITE DEFAULT-COERCE-1))
 )
(IF-N1
 (1833 394 (:REWRITE DEFAULT-+-2))
 (1038 394 (:REWRITE DEFAULT-+-1))
 (1031 452 (:REWRITE DEFAULT-*-2))
 (783 452 (:REWRITE DEFAULT-*-1))
 (69 22 (:REWRITE DEFAULT-<-2))
 (58 22 (:REWRITE DEFAULT-<-1))
 (1 1 (:TYPE-PRESCRIPTION IF-N1))
 )
(BOOLEAN-CONSTANTP)
(ATOMIC-VAL)
(PEVAL
 (863 398 (:REWRITE DEFAULT-+-2))
 (539 398 (:REWRITE DEFAULT-+-1))
 (328 82 (:REWRITE COMMUTATIVITY-OF-+))
 (328 82 (:DEFINITION INTEGER-ABS))
 (328 41 (:DEFINITION LENGTH))
 (205 41 (:DEFINITION LEN))
 (129 101 (:REWRITE DEFAULT-<-2))
 (114 101 (:REWRITE DEFAULT-<-1))
 (82 82 (:REWRITE DEFAULT-UNARY-MINUS))
 (41 41 (:TYPE-PRESCRIPTION LEN))
 (41 41 (:REWRITE NUMERATOR-WHEN-INTEGERP))
 (41 41 (:REWRITE INTEGERP==>DENOMINATOR=1))
 (41 41 (:REWRITE DEFAULT-REALPART))
 (41 41 (:REWRITE DEFAULT-NUMERATOR))
 (41 41 (:REWRITE DEFAULT-IMAGPART))
 (41 41 (:REWRITE DEFAULT-DENOMINATOR))
 (41 41 (:REWRITE DEFAULT-COERCE-2))
 (41 41 (:REWRITE DEFAULT-COERCE-1))
 )
(ASSIGNEDP)
(ASSUME-TRUE)
(ASSUME-FALSE)
(TAUTP
 (2150 990 (:REWRITE DEFAULT-+-2))
 (1320 990 (:REWRITE DEFAULT-+-1))
 (784 196 (:REWRITE COMMUTATIVITY-OF-+))
 (784 196 (:DEFINITION INTEGER-ABS))
 (784 98 (:DEFINITION LENGTH))
 (490 98 (:DEFINITION LEN))
 (308 240 (:REWRITE DEFAULT-<-2))
 (270 240 (:REWRITE DEFAULT-<-1))
 (196 196 (:REWRITE DEFAULT-UNARY-MINUS))
 (185 37 (:DEFINITION ASSOC-EQUAL))
 (98 98 (:TYPE-PRESCRIPTION LEN))
 (98 98 (:REWRITE NUMERATOR-WHEN-INTEGERP))
 (98 98 (:REWRITE INTEGERP==>DENOMINATOR=1))
 (98 98 (:REWRITE DEFAULT-REALPART))
 (98 98 (:REWRITE DEFAULT-NUMERATOR))
 (98 98 (:REWRITE DEFAULT-IMAGPART))
 (98 98 (:REWRITE DEFAULT-DENOMINATOR))
 (98 98 (:REWRITE DEFAULT-COERCE-2))
 (98 98 (:REWRITE DEFAULT-COERCE-1))
 )
(TAUTOLOGY-CHECKER
 (1 1 (:TYPE-PRESCRIPTION IF-N))
 )
(NORMP
 (1747 756 (:REWRITE DEFAULT-+-2))
 (1049 756 (:REWRITE DEFAULT-+-1))
 (576 144 (:DEFINITION INTEGER-ABS))
 (576 72 (:DEFINITION LENGTH))
 (360 72 (:DEFINITION LEN))
 (226 173 (:REWRITE DEFAULT-<-2))
 (192 173 (:REWRITE DEFAULT-<-1))
 (144 144 (:REWRITE DEFAULT-UNARY-MINUS))
 (72 72 (:TYPE-PRESCRIPTION LEN))
 (72 72 (:REWRITE NUMERATOR-WHEN-INTEGERP))
 (72 72 (:REWRITE INTEGERP==>DENOMINATOR=1))
 (72 72 (:REWRITE DEFAULT-REALPART))
 (72 72 (:REWRITE DEFAULT-NUMERATOR))
 (72 72 (:REWRITE DEFAULT-IMAGPART))
 (72 72 (:REWRITE DEFAULT-DENOMINATOR))
 (72 72 (:REWRITE DEFAULT-COERCE-2))
 (72 72 (:REWRITE DEFAULT-COERCE-1))
 )
(ASSOC-EQUAL-APPEND
 (124 112 (:REWRITE DEFAULT-CAR))
 (42 21 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (40 34 (:REWRITE DEFAULT-CDR))
 (21 21 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (21 21 (:TYPE-PRESCRIPTION BINARY-APPEND))
 )
(PEVAL-IGNORES-REDUNDANT-ASSIGNMENTS
 (446 446 (:REWRITE DEFAULT-CAR))
 (389 389 (:REWRITE DEFAULT-CDR))
 )
(TAUTP-IMPLIES-PEVAL
 (64 32 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (32 32 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (32 32 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (6 6 (:DEFINITION IFF))
 )
(NORMP-IF-N
 (315 291 (:REWRITE DEFAULT-CDR))
 (222 202 (:REWRITE DEFAULT-CAR))
 )
(PEVAL-IF-N
 (907 847 (:REWRITE DEFAULT-CDR))
 (668 618 (:REWRITE DEFAULT-CAR))
 (230 44 (:DEFINITION ASSOC-EQUAL))
 )
(TAUTOLOGY-CHECKER-IS-SOUND
 (34 34 (:REWRITE DEFAULT-CDR))
 (29 1 (:DEFINITION IF-N))
 (24 24 (:REWRITE DEFAULT-CAR))
 (6 6 (:TYPE-PRESCRIPTION IF-N))
 )
(FALSIFY
 (2534 1158 (:REWRITE DEFAULT-+-2))
 (1549 1158 (:REWRITE DEFAULT-+-1))
 (912 228 (:REWRITE COMMUTATIVITY-OF-+))
 (912 228 (:DEFINITION INTEGER-ABS))
 (912 114 (:DEFINITION LENGTH))
 (570 114 (:DEFINITION LEN))
 (358 278 (:REWRITE DEFAULT-<-2))
 (312 278 (:REWRITE DEFAULT-<-1))
 (228 228 (:REWRITE DEFAULT-UNARY-MINUS))
 (210 42 (:DEFINITION ASSOC-EQUAL))
 (114 114 (:TYPE-PRESCRIPTION LEN))
 (114 114 (:REWRITE NUMERATOR-WHEN-INTEGERP))
 (114 114 (:REWRITE INTEGERP==>DENOMINATOR=1))
 (114 114 (:REWRITE DEFAULT-REALPART))
 (114 114 (:REWRITE DEFAULT-NUMERATOR))
 (114 114 (:REWRITE DEFAULT-IMAGPART))
 (114 114 (:REWRITE DEFAULT-DENOMINATOR))
 (114 114 (:REWRITE DEFAULT-COERCE-2))
 (114 114 (:REWRITE DEFAULT-COERCE-1))
 )
(FALSIFYING-ALIST
 (3 3 (:TYPE-PRESCRIPTION IF-N))
 )
(WHEN-TAUTP-FAILS-FALSIFY-WINS
 (4849 4667 (:REWRITE DEFAULT-CAR))
 (4529 4422 (:REWRITE DEFAULT-CDR))
 (186 186 (:REWRITE CDR-CONS))
 )
(FALSIFY-EXTENDS-ALISTS
 (3343 3208 (:REWRITE DEFAULT-CAR))
 (2672 2553 (:REWRITE DEFAULT-CDR))
 )
(WHEN-FALSIFY-WINS-IT-FALSIFIES
 (78829 471 (:DEFINITION TAUTOLOGY-CHECKER))
 (64367 572 (:DEFINITION TAUTP))
 (45166 1639 (:DEFINITION IF-N))
 (5264 5264 (:TYPE-PRESCRIPTION IF-N))
 )
(TAUTOLOGY-CHECKER-IS-COMPLETE)
