(NATURAL-LISTP)
(MAXLIST
 (99 46 (:REWRITE DEFAULT-+-2))
 (65 46 (:REWRITE DEFAULT-+-1))
 (51 51 (:REWRITE DEFAULT-CDR))
 (36 36 (:REWRITE DEFAULT-CAR))
 (32 8 (:REWRITE COMMUTATIVITY-OF-+))
 (32 8 (:DEFINITION INTEGER-ABS))
 (32 4 (:DEFINITION LENGTH))
 (28 18 (:REWRITE DEFAULT-<-2))
 (27 18 (:REWRITE DEFAULT-<-1))
 (20 4 (:DEFINITION LEN))
 (15 15 (:REWRITE FOLD-CONSTS-IN-+))
 (10 10 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (8 8 (:REWRITE DEFAULT-UNARY-MINUS))
 (5 5 (:TYPE-PRESCRIPTION MAX))
 (4 4 (:TYPE-PRESCRIPTION LEN))
 (4 4 (:REWRITE DEFAULT-REALPART))
 (4 4 (:REWRITE DEFAULT-NUMERATOR))
 (4 4 (:REWRITE DEFAULT-IMAGPART))
 (4 4 (:REWRITE DEFAULT-DENOMINATOR))
 (4 4 (:REWRITE DEFAULT-COERCE-2))
 (4 4 (:REWRITE DEFAULT-COERCE-1))
 )
(MINLIST
 (99 46 (:REWRITE DEFAULT-+-2))
 (65 46 (:REWRITE DEFAULT-+-1))
 (51 51 (:REWRITE DEFAULT-CDR))
 (36 36 (:REWRITE DEFAULT-CAR))
 (32 8 (:REWRITE COMMUTATIVITY-OF-+))
 (32 8 (:DEFINITION INTEGER-ABS))
 (32 4 (:DEFINITION LENGTH))
 (28 18 (:REWRITE DEFAULT-<-2))
 (27 18 (:REWRITE DEFAULT-<-1))
 (20 4 (:DEFINITION LEN))
 (15 15 (:REWRITE FOLD-CONSTS-IN-+))
 (10 10 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (8 8 (:REWRITE DEFAULT-UNARY-MINUS))
 (5 5 (:TYPE-PRESCRIPTION MIN))
 (4 4 (:TYPE-PRESCRIPTION LEN))
 (4 4 (:REWRITE DEFAULT-REALPART))
 (4 4 (:REWRITE DEFAULT-NUMERATOR))
 (4 4 (:REWRITE DEFAULT-IMAGPART))
 (4 4 (:REWRITE DEFAULT-DENOMINATOR))
 (4 4 (:REWRITE DEFAULT-COERCE-2))
 (4 4 (:REWRITE DEFAULT-COERCE-1))
 )
(SUM
 (2 2 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE DEFAULT-CDR))
 )
(EXCESS-NATURAL
 (38 38 (:REWRITE DEFAULT-CAR))
 (19 19 (:REWRITE DEFAULT-CDR))
 (16 14 (:REWRITE DEFAULT-<-2))
 (16 14 (:REWRITE DEFAULT-<-1))
 (7 7 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(NUMERICALLY-SORTED
 (5 5 (:REWRITE DEFAULT-CAR))
 (3 3 (:REWRITE DEFAULT-CDR))
 )
(NUMERIC-INSERT
 (2 2 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE DEFAULT-CDR))
 )
(NUMERIC-SORT
 (118 110 (:REWRITE DEFAULT-CAR))
 (88 80 (:REWRITE DEFAULT-CDR))
 (48 25 (:REWRITE DEFAULT-<-1))
 (38 25 (:REWRITE DEFAULT-<-2))
 (36 36 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(REAL/RATIONALP-MAXLIST
 (11 11 (:REWRITE DEFAULT-CDR))
 (11 11 (:REWRITE DEFAULT-CAR))
 (5 3 (:REWRITE DEFAULT-<-2))
 (5 3 (:REWRITE DEFAULT-<-1))
 (4 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(REAL/RATIONALP-MINLIST
 (11 11 (:REWRITE DEFAULT-CDR))
 (11 11 (:REWRITE DEFAULT-CAR))
 (5 3 (:REWRITE DEFAULT-<-2))
 (5 3 (:REWRITE DEFAULT-<-1))
 (4 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(REAL/RATIONALP-SUM
 (7 7 (:REWRITE DEFAULT-CAR))
 (5 3 (:REWRITE DEFAULT-+-2))
 (5 3 (:REWRITE DEFAULT-+-1))
 (4 4 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(NATURALP-EXCESS-NATURAL
 (466 233 (:TYPE-PRESCRIPTION REAL/RATIONALP-MAXLIST))
 (382 38 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (357 33 (:REWRITE DEFAULT-<-1))
 (353 353 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
 (216 24 (:REWRITE REAL/RATIONALP-MAXLIST))
 (190 12 (:REWRITE DEFAULT-+-2))
 (144 24 (:DEFINITION RATIONAL-LISTP))
 (83 83 (:REWRITE DEFAULT-CAR))
 (67 67 (:REWRITE DEFAULT-CDR))
 (45 33 (:REWRITE DEFAULT-<-2))
 (12 12 (:REWRITE DEFAULT-+-1))
 )
(REAL/RATIONAL-LISTP-NUMERIC-INSERT
 (26 23 (:REWRITE DEFAULT-CAR))
 (13 10 (:REWRITE DEFAULT-CDR))
 (12 7 (:REWRITE DEFAULT-<-1))
 (7 7 (:REWRITE DEFAULT-<-2))
 (5 5 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(REAL/RATIONAL-LISTP-NUMERIC-SORT
 (27 3 (:DEFINITION NUMERIC-INSERT))
 (16 16 (:REWRITE DEFAULT-CAR))
 (10 10 (:REWRITE DEFAULT-CDR))
 (6 3 (:REWRITE DEFAULT-<-1))
 (5 5 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (5 3 (:REWRITE DEFAULT-<-2))
 )
