File: byte-addressed-state%40useless-runes.lsp

package info (click to toggle)
acl2 8.6%2Bdfsg-2
links: PTS
area: main
in suites: trixie
size: 1,111,420 kB
sloc: lisp: 17,818,294; java: 125,359; python: 28,122; javascript: 23,458; cpp: 18,851; ansic: 11,569; perl: 7,678; xml: 5,591; sh: 3,976; makefile: 3,833; ruby: 2,633; yacc: 1,126; ml: 763; awk: 295; csh: 233; lex: 197; php: 178; tcl: 49; asm: 23; haskell: 17
file content (13057 lines) | stat: -rw-r--r-- 592,575 bytes
parent folder | download | duplicates (2)
(SMAN::NATP-NTH-MP
 (59 47 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (58 48 (:REWRITE DEFAULT-LESS-THAN-2))
 (55 45 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (55 45 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (54 45 (:REWRITE SIMPLIFY-SUMS-<))
 (48 48 (:REWRITE THE-FLOOR-BELOW))
 (48 48 (:REWRITE THE-FLOOR-ABOVE))
 (47 47 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (47 47 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (47 47 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (47 47 (:REWRITE INTEGERP-<-CONSTANT))
 (47 47 (:REWRITE CONSTANT-<-INTEGERP))
 (47 47 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (47 47 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (47 47 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (47 47 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (47 47 (:REWRITE |(< c (- x))|))
 (47 47 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (47 47 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (47 47 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (47 47 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (47 47 (:REWRITE |(< (/ x) (/ y))|))
 (47 47 (:REWRITE |(< (- x) c)|))
 (47 47 (:REWRITE |(< (- x) (- y))|))
 (31 21 (:REWRITE DEFAULT-PLUS-2))
 (26 26 (:REWRITE |(< (/ x) 0)|))
 (26 26 (:REWRITE |(< (* x y) 0)|))
 (24 24 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (24 24 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (24 24 (:REWRITE REDUCE-INTEGERP-+))
 (24 24 (:REWRITE INTEGERP-MINUS-X))
 (24 24 (:META META-INTEGERP-CORRECT))
 (21 21 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (21 21 (:REWRITE NORMALIZE-ADDENDS))
 (21 21 (:REWRITE DEFAULT-PLUS-1))
 (20 20 (:REWRITE DEFAULT-CDR))
 (20 20 (:REWRITE DEFAULT-CAR))
 (18 2 (:REWRITE ACL2-NUMBERP-X))
 (9 9 (:REWRITE ZP-OPEN))
 (8 2 (:REWRITE RATIONALP-X))
 (3 3 (:REWRITE |(< y (+ (- c) x))|))
 (3 3 (:REWRITE |(< x (+ c/d y))|))
 (2 2 (:REWRITE REDUCE-RATIONALP-+))
 (2 2 (:REWRITE REDUCE-RATIONALP-*))
 (2 2 (:REWRITE RATIONALP-MINUS-X))
 (2 2 (:REWRITE |(< (+ c/d x) y)|))
 (2 2 (:REWRITE |(< (+ (- c) x) y)|))
 (2 2 (:META META-RATIONALP-CORRECT))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (1 1 (:REWRITE |(< 0 (/ x))|))
 (1 1 (:REWRITE |(< 0 (* x y))|))
 )
(SMAN::BYTEP-NTH-MP
 (84 4 (:REWRITE ACL2-NUMBERP-X))
 (45 37 (:REWRITE DEFAULT-LESS-THAN-2))
 (43 33 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (40 4 (:REWRITE RATIONALP-X))
 (39 30 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (39 30 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (37 37 (:REWRITE THE-FLOOR-BELOW))
 (37 37 (:REWRITE THE-FLOOR-ABOVE))
 (37 33 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (36 30 (:REWRITE SIMPLIFY-SUMS-<))
 (34 34 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (34 34 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (34 34 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (33 33 (:REWRITE INTEGERP-<-CONSTANT))
 (33 33 (:REWRITE CONSTANT-<-INTEGERP))
 (33 33 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (33 33 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (33 33 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (33 33 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (33 33 (:REWRITE |(< c (- x))|))
 (33 33 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (33 33 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (33 33 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (33 33 (:REWRITE |(< (/ x) (/ y))|))
 (33 33 (:REWRITE |(< (- x) c)|))
 (33 33 (:REWRITE |(< (- x) (- y))|))
 (19 11 (:REWRITE DEFAULT-PLUS-2))
 (16 16 (:REWRITE REDUCE-INTEGERP-+))
 (16 16 (:REWRITE INTEGERP-MINUS-X))
 (16 16 (:META META-INTEGERP-CORRECT))
 (13 13 (:REWRITE |(< (/ x) 0)|))
 (13 13 (:REWRITE |(< (* x y) 0)|))
 (11 11 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (11 11 (:REWRITE NORMALIZE-ADDENDS))
 (11 11 (:REWRITE DEFAULT-PLUS-1))
 (11 11 (:REWRITE DEFAULT-CAR))
 (10 10 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (10 10 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (6 6 (:REWRITE DEFAULT-CDR))
 (5 5 (:REWRITE ZP-OPEN))
 (5 5 (:REWRITE |(< y (+ (- c) x))|))
 (5 5 (:REWRITE |(< x (+ c/d y))|))
 (4 4 (:REWRITE REDUCE-RATIONALP-+))
 (4 4 (:REWRITE REDUCE-RATIONALP-*))
 (4 4 (:REWRITE RATIONALP-MINUS-X))
 (4 4 (:META META-RATIONALP-CORRECT))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (1 1 (:REWRITE |(< 0 (/ x))|))
 (1 1 (:REWRITE |(< 0 (* x y))|))
 (1 1 (:REWRITE |(< (+ c/d x) y)|))
 )
(SMAN::MP-!NTH
 (72 62 (:REWRITE DEFAULT-LESS-THAN-2))
 (65 59 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (64 56 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (64 56 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (63 56 (:REWRITE SIMPLIFY-SUMS-<))
 (63 7 (:REWRITE ACL2-NUMBERP-X))
 (62 62 (:REWRITE THE-FLOOR-BELOW))
 (62 62 (:REWRITE THE-FLOOR-ABOVE))
 (60 60 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (60 60 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (60 60 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (59 59 (:REWRITE INTEGERP-<-CONSTANT))
 (59 59 (:REWRITE CONSTANT-<-INTEGERP))
 (59 59 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (59 59 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (59 59 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (59 59 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (59 59 (:REWRITE |(< c (- x))|))
 (59 59 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (59 59 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (59 59 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (59 59 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (59 59 (:REWRITE |(< (/ x) (/ y))|))
 (59 59 (:REWRITE |(< (- x) c)|))
 (59 59 (:REWRITE |(< (- x) (- y))|))
 (40 25 (:REWRITE DEFAULT-CDR))
 (37 22 (:REWRITE DEFAULT-CAR))
 (28 28 (:REWRITE REDUCE-INTEGERP-+))
 (28 28 (:REWRITE INTEGERP-MINUS-X))
 (28 28 (:META META-INTEGERP-CORRECT))
 (28 7 (:REWRITE RATIONALP-X))
 (26 26 (:REWRITE |(< (/ x) 0)|))
 (26 26 (:REWRITE |(< (* x y) 0)|))
 (23 23 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (23 23 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (20 12 (:REWRITE DEFAULT-PLUS-2))
 (12 12 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (12 12 (:REWRITE NORMALIZE-ADDENDS))
 (12 12 (:REWRITE DEFAULT-PLUS-1))
 (7 7 (:REWRITE ZP-OPEN))
 (7 7 (:REWRITE REDUCE-RATIONALP-+))
 (7 7 (:REWRITE REDUCE-RATIONALP-*))
 (7 7 (:REWRITE RATIONALP-MINUS-X))
 (7 7 (:META META-RATIONALP-CORRECT))
 (4 4 (:REWRITE |(< y (+ (- c) x))|))
 (4 4 (:REWRITE |(< x (+ c/d y))|))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (1 1 (:REWRITE |(< 0 (/ x))|))
 (1 1 (:REWRITE |(< 0 (* x y))|))
 (1 1 (:REWRITE |(< (+ c/d x) y)|))
 )
(SMAN::!NTH-NTH
 (24 4 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (24 4 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (24 4 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (23 15 (:REWRITE DEFAULT-PLUS-2))
 (23 15 (:REWRITE DEFAULT-LESS-THAN-2))
 (20 14 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (18 11 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (18 11 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (17 11 (:REWRITE SIMPLIFY-SUMS-<))
 (15 15 (:REWRITE THE-FLOOR-BELOW))
 (15 15 (:REWRITE THE-FLOOR-ABOVE))
 (15 15 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (15 15 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (15 15 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (15 15 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (15 15 (:REWRITE NORMALIZE-ADDENDS))
 (15 15 (:REWRITE DEFAULT-PLUS-1))
 (15 15 (:REWRITE DEFAULT-LESS-THAN-1))
 (14 14 (:REWRITE INTEGERP-<-CONSTANT))
 (14 14 (:REWRITE DEFAULT-CDR))
 (14 14 (:REWRITE CONSTANT-<-INTEGERP))
 (14 14 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (14 14 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (14 14 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (14 14 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (14 14 (:REWRITE |(< c (- x))|))
 (14 14 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (14 14 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (14 14 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (14 14 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (14 14 (:REWRITE |(< (/ x) (/ y))|))
 (14 14 (:REWRITE |(< (- x) c)|))
 (14 14 (:REWRITE |(< (- x) (- y))|))
 (8 8 (:REWRITE ZP-OPEN))
 (8 8 (:REWRITE DEFAULT-CAR))
 (7 7 (:REWRITE |(< (/ x) 0)|))
 (7 7 (:REWRITE |(< (* x y) 0)|))
 (4 4 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (4 4 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (4 4 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (4 4 (:REWRITE REDUCE-INTEGERP-+))
 (4 4 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (4 4 (:REWRITE INTEGERP-MINUS-X))
 (4 4 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (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))|))
 (4 4 (:REWRITE |(< y (+ (- c) x))|))
 (4 4 (:REWRITE |(< x (+ c/d y))|))
 (4 4 (:META META-INTEGERP-CORRECT))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (1 1 (:REWRITE |(< 0 (/ x))|))
 (1 1 (:REWRITE |(< 0 (* x y))|))
 (1 1 (:REWRITE |(< (+ c/d x) y)|))
 )
(SMAN::!NTH-!NTH-SAME
 (770 19 (:REWRITE SMAN::!NTH-NTH))
 (279 7 (:REWRITE |(< (+ (- c) x) y)|))
 (202 11 (:DEFINITION LEN))
 (180 2 (:REWRITE LEN-UPDATE-NTH))
 (146 146 (:TYPE-PRESCRIPTION LEN))
 (88 34 (:REWRITE DEFAULT-CDR))
 (84 22 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (84 2 (:DEFINITION NFIX))
 (78 3 (:REWRITE |(< x (if a b c))|))
 (68 2 (:DEFINITION MAX))
 (60 15 (:REWRITE DEFAULT-CAR))
 (58 37 (:REWRITE DEFAULT-PLUS-2))
 (43 24 (:REWRITE DEFAULT-LESS-THAN-2))
 (37 37 (:REWRITE DEFAULT-PLUS-1))
 (30 3 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (30 3 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (30 3 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (28 28 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (28 28 (:REWRITE NORMALIZE-ADDENDS))
 (26 24 (:REWRITE DEFAULT-LESS-THAN-1))
 (24 24 (:REWRITE THE-FLOOR-BELOW))
 (24 24 (:REWRITE THE-FLOOR-ABOVE))
 (22 22 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (22 22 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (22 13 (:REWRITE SIMPLIFY-SUMS-<))
 (22 13 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (22 13 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (16 4 (:REWRITE |(+ c (+ d x))|))
 (13 13 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (13 13 (:REWRITE INTEGERP-<-CONSTANT))
 (13 13 (:REWRITE CONSTANT-<-INTEGERP))
 (13 13 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (13 13 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (13 13 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (13 13 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (13 13 (:REWRITE |(< c (- x))|))
 (13 13 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (13 13 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (13 13 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (13 13 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (13 13 (:REWRITE |(< (/ x) (/ y))|))
 (13 13 (:REWRITE |(< (- x) c)|))
 (13 13 (:REWRITE |(< (- x) (- y))|))
 (12 1 (:REWRITE |(+ x (if a b c))|))
 (9 9 (:REWRITE |(< (+ c/d x) y)|))
 (8 8 (:REWRITE ZP-OPEN))
 (8 8 (:REWRITE |(< y (+ (- c) x))|))
 (8 8 (:REWRITE |(< x (+ c/d y))|))
 (4 4 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (4 4 (:REWRITE |(+ 0 x)|))
 (3 3 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (3 3 (:REWRITE REDUCE-INTEGERP-+))
 (3 3 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (3 3 (:REWRITE INTEGERP-MINUS-X))
 (3 3 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (3 3 (:REWRITE |(equal c (/ x))|))
 (3 3 (:REWRITE |(equal c (- x))|))
 (3 3 (:REWRITE |(equal (/ x) c)|))
 (3 3 (:REWRITE |(equal (/ x) (/ y))|))
 (3 3 (:REWRITE |(equal (- x) c)|))
 (3 3 (:REWRITE |(equal (- x) (- y))|))
 (3 3 (:META META-INTEGERP-CORRECT))
 (2 2 (:REWRITE |(< (* x y) 0)|))
 )
(SMAN::!NTH-!NTH-DIFF
 (6210 90 (:REWRITE SMAN::!NTH-NTH))
 (1579 72 (:DEFINITION LEN))
 (1415 37 (:REWRITE |(< (+ (- c) x) y)|))
 (1396 16 (:REWRITE LEN-UPDATE-NTH))
 (1359 225 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (887 887 (:TYPE-PRESCRIPTION LEN))
 (858 14 (:REWRITE |(< x (if a b c))|))
 (823 37 (:REWRITE ZP-OPEN))
 (628 16 (:DEFINITION NFIX))
 (552 16 (:DEFINITION MAX))
 (447 322 (:REWRITE DEFAULT-PLUS-2))
 (422 200 (:REWRITE DEFAULT-CDR))
 (341 237 (:REWRITE DEFAULT-LESS-THAN-2))
 (322 322 (:REWRITE DEFAULT-PLUS-1))
 (313 72 (:REWRITE |(+ c (+ d x))|))
 (253 237 (:REWRITE DEFAULT-LESS-THAN-1))
 (237 237 (:REWRITE THE-FLOOR-BELOW))
 (237 237 (:REWRITE THE-FLOOR-ABOVE))
 (225 225 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (225 225 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (222 66 (:REWRITE DEFAULT-CAR))
 (209 151 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (207 151 (:REWRITE SIMPLIFY-SUMS-<))
 (207 151 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (196 196 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (196 196 (:REWRITE NORMALIZE-ADDENDS))
 (152 152 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (152 152 (:REWRITE INTEGERP-<-CONSTANT))
 (152 152 (:REWRITE CONSTANT-<-INTEGERP))
 (152 152 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (152 152 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (152 152 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (152 152 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (152 152 (:REWRITE |(< c (- x))|))
 (152 152 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (152 152 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (152 152 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (152 152 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (152 152 (:REWRITE |(< (/ x) (/ y))|))
 (152 152 (:REWRITE |(< (- x) c)|))
 (152 152 (:REWRITE |(< (- x) (- y))|))
 (116 20 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (84 20 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (84 20 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (79 79 (:REWRITE |(< x (+ c/d y))|))
 (75 75 (:REWRITE |(< y (+ (- c) x))|))
 (72 6 (:REWRITE |(+ x (if a b c))|))
 (70 70 (:REWRITE |(< (+ c/d x) y)|))
 (48 48 (:REWRITE |(+ 0 x)|))
 (47 47 (:REWRITE |(< (* x y) 0)|))
 (44 12 (:REWRITE ACL2-NUMBERP-X))
 (25 25 (:REWRITE |(< 0 (* x y))|))
 (22 22 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (22 22 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (22 22 (:REWRITE |(< 0 (/ x))|))
 (20 20 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (20 20 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (20 20 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (20 20 (:REWRITE |(equal c (/ x))|))
 (20 20 (:REWRITE |(equal c (- x))|))
 (20 20 (:REWRITE |(equal (/ x) c)|))
 (20 20 (:REWRITE |(equal (/ x) (/ y))|))
 (20 20 (:REWRITE |(equal (- x) c)|))
 (20 20 (:REWRITE |(equal (- x) (- y))|))
 (20 4 (:TYPE-PRESCRIPTION SMAN::NATP-NTH-MP))
 (16 4 (:REWRITE RATIONALP-X))
 (15 15 (:REWRITE |(< (/ x) 0)|))
 (14 14 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (14 14 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (13 13 (:REWRITE REDUCE-INTEGERP-+))
 (13 13 (:REWRITE INTEGERP-MINUS-X))
 (13 13 (:META META-INTEGERP-CORRECT))
 (4 4 (:TYPE-PRESCRIPTION SMAN::MP))
 (4 4 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (4 4 (:REWRITE REDUCE-RATIONALP-+))
 (4 4 (:REWRITE REDUCE-RATIONALP-*))
 (4 4 (:REWRITE RATIONALP-MINUS-X))
 (4 4 (:REWRITE NTH-0-CONS))
 (4 4 (:META META-RATIONALP-CORRECT))
 (1 1 (:REWRITE |(equal x (if a b c))|))
 (1 1 (:REWRITE |(equal (if a b c) x)|))
 )
(SMAN::NTH-0-1-2
 (90 45 (:TYPE-PRESCRIPTION SMAN::NATP-NTH-MP))
 (45 45 (:TYPE-PRESCRIPTION SMAN::MP))
 (33 9 (:REWRITE ACL2-NUMBERP-X))
 (30 3 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (12 3 (:REWRITE RATIONALP-X))
 (10 10 (:REWRITE DEFAULT-CDR))
 (6 6 (:REWRITE DEFAULT-CAR))
 (6 3 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (6 3 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (3 3 (:REWRITE REDUCE-RATIONALP-+))
 (3 3 (:REWRITE REDUCE-RATIONALP-*))
 (3 3 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (3 3 (:REWRITE REDUCE-INTEGERP-+))
 (3 3 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (3 3 (:REWRITE RATIONALP-MINUS-X))
 (3 3 (:REWRITE INTEGERP-MINUS-X))
 (3 3 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (3 3 (:REWRITE |(equal x (if a b c))|))
 (3 3 (:REWRITE |(equal c (/ x))|))
 (3 3 (:REWRITE |(equal c (- x))|))
 (3 3 (:REWRITE |(equal (if a b c) x)|))
 (3 3 (:REWRITE |(equal (/ x) c)|))
 (3 3 (:REWRITE |(equal (/ x) (/ y))|))
 (3 3 (:REWRITE |(equal (- x) c)|))
 (3 3 (:REWRITE |(equal (- x) (- y))|))
 (3 3 (:META META-RATIONALP-CORRECT))
 (3 3 (:META META-INTEGERP-CORRECT))
 )
(SMAN::UPDATE-NTH-0-1-2
 (674 10 (:REWRITE SMAN::!NTH-NTH))
 (306 25 (:DEFINITION LEN))
 (114 114 (:TYPE-PRESCRIPTION LEN))
 (93 93 (:REWRITE DEFAULT-CDR))
 (90 45 (:TYPE-PRESCRIPTION TRUE-LISTP-UPDATE-NTH))
 (80 40 (:REWRITE DEFAULT-PLUS-2))
 (45 45 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (40 40 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (40 40 (:REWRITE NORMALIZE-ADDENDS))
 (40 40 (:REWRITE DEFAULT-PLUS-1))
 (20 10 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (20 10 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (20 10 (:REWRITE DEFAULT-LESS-THAN-2))
 (14 10 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (10 10 (:REWRITE THE-FLOOR-BELOW))
 (10 10 (:REWRITE THE-FLOOR-ABOVE))
 (10 10 (:REWRITE SIMPLIFY-SUMS-<))
 (10 10 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (10 10 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (10 10 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (10 10 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (10 10 (:REWRITE INTEGERP-<-CONSTANT))
 (10 10 (:REWRITE DEFAULT-LESS-THAN-1))
 (10 10 (:REWRITE DEFAULT-CAR))
 (10 10 (:REWRITE CONSTANT-<-INTEGERP))
 (10 10 (:REWRITE |(< x (if a b c))|))
 (10 10 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (10 10 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (10 10 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (10 10 (:REWRITE |(< c (- x))|))
 (10 10 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (10 10 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (10 10 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (10 10 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (10 10 (:REWRITE |(< (/ x) (/ y))|))
 (10 10 (:REWRITE |(< (- x) c)|))
 (10 10 (:REWRITE |(< (- x) (- y))|))
 (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 |(+ x (if a b c))|))
 )
(SMAN::NATP-I)
(SMAN::NATP-MI
 (2 2 (:TYPE-PRESCRIPTION SMAN::NATP-NTH-MP))
 )
(SMAN::BYTEP-MI
 (4 4 (:TYPE-PRESCRIPTION SMAN::NATP-NTH-MP))
 )
(SMAN::STP-!I
 (37 37 (:REWRITE DEFAULT-CDR))
 (28 14 (:REWRITE DEFAULT-PLUS-2))
 (14 14 (:REWRITE DEFAULT-PLUS-1))
 (12 12 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (12 12 (:REWRITE NORMALIZE-ADDENDS))
 (9 9 (:REWRITE DEFAULT-CAR))
 (7 7 (:REWRITE THE-FLOOR-BELOW))
 (7 7 (:REWRITE THE-FLOOR-ABOVE))
 (7 7 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (7 7 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (7 7 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (7 7 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (7 7 (:REWRITE INTEGERP-<-CONSTANT))
 (7 7 (:REWRITE DEFAULT-LESS-THAN-2))
 (7 7 (:REWRITE DEFAULT-LESS-THAN-1))
 (7 7 (:REWRITE CONSTANT-<-INTEGERP))
 (7 7 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (7 7 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (7 7 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (7 7 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (7 7 (:REWRITE |(< c (- x))|))
 (7 7 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (7 7 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (7 7 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (7 7 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (7 7 (:REWRITE |(< (/ x) (/ y))|))
 (7 7 (:REWRITE |(< (- x) c)|))
 (7 7 (:REWRITE |(< (- x) (- y))|))
 (6 6 (:REWRITE SIMPLIFY-SUMS-<))
 (6 6 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (6 6 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (5 5 (:REWRITE |(< (/ x) 0)|))
 (5 5 (:REWRITE |(< (* x y) 0)|))
 (4 4 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (4 4 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (4 4 (:REWRITE REDUCE-INTEGERP-+))
 (4 4 (:REWRITE INTEGERP-MINUS-X))
 (4 4 (:META META-INTEGERP-CORRECT))
 (4 2 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (4 2 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (2 2 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (2 2 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (2 2 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (2 2 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (2 2 (:REWRITE |(equal c (/ x))|))
 (2 2 (:REWRITE |(equal c (- x))|))
 (2 2 (:REWRITE |(equal (/ x) c)|))
 (2 2 (:REWRITE |(equal (/ x) (/ y))|))
 (2 2 (:REWRITE |(equal (- x) c)|))
 (2 2 (:REWRITE |(equal (- x) (- y))|))
 (1 1 (:REWRITE |(equal (+ (- c) x) y)|))
 )
(SMAN::STP-!S
 (36 36 (:REWRITE DEFAULT-CDR))
 (28 14 (:REWRITE DEFAULT-PLUS-2))
 (14 14 (:REWRITE DEFAULT-PLUS-1))
 (12 12 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (12 12 (:REWRITE NORMALIZE-ADDENDS))
 (10 10 (:REWRITE DEFAULT-CAR))
 (6 6 (:REWRITE THE-FLOOR-BELOW))
 (6 6 (:REWRITE THE-FLOOR-ABOVE))
 (6 6 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (6 6 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (6 6 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (6 6 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (6 6 (:REWRITE INTEGERP-<-CONSTANT))
 (6 6 (:REWRITE DEFAULT-LESS-THAN-2))
 (6 6 (:REWRITE DEFAULT-LESS-THAN-1))
 (6 6 (:REWRITE CONSTANT-<-INTEGERP))
 (6 6 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (6 6 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (6 6 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (6 6 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (6 6 (:REWRITE |(< c (- x))|))
 (6 6 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (6 6 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (6 6 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (6 6 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (6 6 (:REWRITE |(< (/ x) (/ y))|))
 (6 6 (:REWRITE |(< (- x) c)|))
 (6 6 (:REWRITE |(< (- x) (- y))|))
 (5 5 (:REWRITE SIMPLIFY-SUMS-<))
 (5 5 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (5 5 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (4 4 (:REWRITE |(< (/ x) 0)|))
 (4 4 (:REWRITE |(< (* x y) 0)|))
 (4 2 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (4 2 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (3 3 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (3 3 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (3 3 (:REWRITE REDUCE-INTEGERP-+))
 (3 3 (:REWRITE INTEGERP-MINUS-X))
 (3 3 (:META META-INTEGERP-CORRECT))
 (2 2 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (2 2 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (2 2 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (2 2 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (2 2 (:REWRITE |(equal c (/ x))|))
 (2 2 (:REWRITE |(equal c (- x))|))
 (2 2 (:REWRITE |(equal (/ x) c)|))
 (2 2 (:REWRITE |(equal (/ x) (/ y))|))
 (2 2 (:REWRITE |(equal (- x) c)|))
 (2 2 (:REWRITE |(equal (- x) (- y))|))
 (1 1 (:REWRITE |(equal (+ (- c) x) y)|))
 )
(SMAN::STP-!MI
 (122 122 (:REWRITE DEFAULT-CDR))
 (87 45 (:REWRITE DEFAULT-PLUS-2))
 (64 1 (:DEFINITION SMAN::MP))
 (61 1 (:DEFINITION UNSIGNED-BYTE-P))
 (60 1 (:DEFINITION INTEGER-RANGE-P))
 (45 45 (:REWRITE DEFAULT-PLUS-1))
 (36 4 (:REWRITE ACL2-NUMBERP-X))
 (34 34 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (34 34 (:REWRITE NORMALIZE-ADDENDS))
 (23 23 (:REWRITE DEFAULT-CAR))
 (17 17 (:REWRITE THE-FLOOR-BELOW))
 (17 17 (:REWRITE THE-FLOOR-ABOVE))
 (17 17 (:REWRITE DEFAULT-LESS-THAN-2))
 (16 13 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (16 4 (:REWRITE RATIONALP-X))
 (13 13 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (13 13 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (13 13 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (13 13 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (13 13 (:REWRITE INTEGERP-<-CONSTANT))
 (13 13 (:REWRITE CONSTANT-<-INTEGERP))
 (13 13 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (13 13 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (13 13 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (13 13 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (13 13 (:REWRITE |(< c (- x))|))
 (13 13 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (13 13 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (13 13 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (13 13 (:REWRITE |(< (/ x) (/ y))|))
 (13 13 (:REWRITE |(< (- x) c)|))
 (13 13 (:REWRITE |(< (- x) (- y))|))
 (12 12 (:REWRITE REDUCE-INTEGERP-+))
 (12 12 (:REWRITE INTEGERP-MINUS-X))
 (12 12 (:META META-INTEGERP-CORRECT))
 (12 6 (:REWRITE SMAN::!NTH-NTH))
 (11 11 (:REWRITE SIMPLIFY-SUMS-<))
 (11 11 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (11 11 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (11 6 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (10 6 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (7 7 (:REWRITE |(< (/ x) 0)|))
 (7 7 (:REWRITE |(< (* x y) 0)|))
 (6 6 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (6 6 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (6 6 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (6 6 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (6 6 (:REWRITE |(equal c (/ x))|))
 (6 6 (:REWRITE |(equal c (- x))|))
 (6 6 (:REWRITE |(equal (/ x) c)|))
 (6 6 (:REWRITE |(equal (/ x) (/ y))|))
 (6 6 (:REWRITE |(equal (- x) c)|))
 (6 6 (:REWRITE |(equal (- x) (- y))|))
 (5 5 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (5 5 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (5 5 (:REWRITE |(equal (+ (- c) x) y)|))
 (4 4 (:REWRITE REDUCE-RATIONALP-+))
 (4 4 (:REWRITE REDUCE-RATIONALP-*))
 (4 4 (:REWRITE RATIONALP-MINUS-X))
 (4 4 (:META META-RATIONALP-CORRECT))
 (1 1 (:REWRITE |(< y (+ (- c) x))|))
 (1 1 (:REWRITE |(< x (+ c/d y))|))
 )
(SMAN::ST-PROPERTIES
 (33 33 (:REWRITE DEFAULT-CDR))
 (26 13 (:REWRITE DEFAULT-PLUS-2))
 (13 13 (:REWRITE DEFAULT-PLUS-1))
 (11 11 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (11 11 (:REWRITE NORMALIZE-ADDENDS))
 (9 9 (:REWRITE DEFAULT-CAR))
 (6 6 (:REWRITE THE-FLOOR-BELOW))
 (6 6 (:REWRITE THE-FLOOR-ABOVE))
 (6 6 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (6 6 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (6 6 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (6 6 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (6 6 (:REWRITE INTEGERP-<-CONSTANT))
 (6 6 (:REWRITE DEFAULT-LESS-THAN-2))
 (6 6 (:REWRITE DEFAULT-LESS-THAN-1))
 (6 6 (:REWRITE CONSTANT-<-INTEGERP))
 (6 6 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (6 6 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (6 6 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (6 6 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (6 6 (:REWRITE |(< c (- x))|))
 (6 6 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (6 6 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (6 6 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (6 6 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (6 6 (:REWRITE |(< (/ x) (/ y))|))
 (6 6 (:REWRITE |(< (- x) c)|))
 (6 6 (:REWRITE |(< (- x) (- y))|))
 (5 5 (:REWRITE SIMPLIFY-SUMS-<))
 (5 5 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (5 5 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (4 4 (:REWRITE |(< (/ x) 0)|))
 (4 4 (:REWRITE |(< (* x y) 0)|))
 (4 2 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (4 2 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (3 3 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (3 3 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (3 3 (:REWRITE REDUCE-INTEGERP-+))
 (3 3 (:REWRITE INTEGERP-MINUS-X))
 (3 3 (:META META-INTEGERP-CORRECT))
 (2 2 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (2 2 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (2 2 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (2 2 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (2 2 (:REWRITE |(equal c (/ x))|))
 (2 2 (:REWRITE |(equal c (- x))|))
 (2 2 (:REWRITE |(equal (/ x) c)|))
 (2 2 (:REWRITE |(equal (/ x) (/ y))|))
 (2 2 (:REWRITE |(equal (- x) c)|))
 (2 2 (:REWRITE |(equal (- x) (- y))|))
 (2 1 (:TYPE-PRESCRIPTION SMAN::NATP-NTH-MP))
 (1 1 (:REWRITE |(equal (+ (- c) x) y)|))
 )
(SMAN::I-!I)
(SMAN::I-!S
 (28 14 (:TYPE-PRESCRIPTION TRUE-LISTP-UPDATE-NTH))
 (14 14 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (3 3 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE DEFAULT-CDR))
 )
(SMAN::I-!MI
 (6 6 (:REWRITE DEFAULT-CDR))
 (5 5 (:REWRITE DEFAULT-CAR))
 (4 1 (:REWRITE SMAN::!NTH-NTH))
 (1 1 (:REWRITE REDUCE-INTEGERP-+))
 (1 1 (:REWRITE INTEGERP-MINUS-X))
 (1 1 (:META META-INTEGERP-CORRECT))
 )
(SMAN::S-!I)
(SMAN::S-!S
 (28 14 (:TYPE-PRESCRIPTION TRUE-LISTP-UPDATE-NTH))
 (14 14 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (3 3 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-CAR))
 )
(SMAN::S-!MI
 (8 8 (:REWRITE DEFAULT-CDR))
 (5 5 (:REWRITE DEFAULT-CAR))
 (4 1 (:REWRITE SMAN::!NTH-NTH))
 (1 1 (:REWRITE REDUCE-INTEGERP-+))
 (1 1 (:REWRITE INTEGERP-MINUS-X))
 (1 1 (:META META-INTEGERP-CORRECT))
 )
(SMAN::MI-!I)
(SMAN::MI-!S
 (98 28 (:TYPE-PRESCRIPTION SMAN::NATP-NTH-MP))
 (28 28 (:TYPE-PRESCRIPTION SMAN::MP))
 (28 14 (:TYPE-PRESCRIPTION TRUE-LISTP-UPDATE-NTH))
 (14 14 (:TYPE-PRESCRIPTION UPDATE-NTH))
 (14 14 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (6 6 (:REWRITE DEFAULT-CDR))
 (3 3 (:REWRITE DEFAULT-CAR))
 )
(SMAN::MI-!MI
 (110 44 (:TYPE-PRESCRIPTION SMAN::NATP-NTH-MP))
 (44 44 (:TYPE-PRESCRIPTION SMAN::MP))
 (41 1 (:REWRITE SMAN::!NTH-NTH))
 (22 22 (:TYPE-PRESCRIPTION UPDATE-NTH-ARRAY))
 (11 11 (:REWRITE DEFAULT-CDR))
 (9 9 (:TYPE-PRESCRIPTION LEN))
 (7 1 (:DEFINITION LEN))
 (6 5 (:REWRITE DEFAULT-LESS-THAN-2))
 (5 5 (:REWRITE THE-FLOOR-BELOW))
 (5 5 (:REWRITE THE-FLOOR-ABOVE))
 (5 5 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (5 5 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (5 5 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (5 5 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (5 5 (:REWRITE INTEGERP-<-CONSTANT))
 (5 5 (:REWRITE DEFAULT-LESS-THAN-1))
 (5 5 (:REWRITE DEFAULT-CAR))
 (5 5 (:REWRITE CONSTANT-<-INTEGERP))
 (5 5 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (5 5 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (5 5 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (5 5 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (5 5 (:REWRITE |(< c (- x))|))
 (5 5 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (5 5 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (5 5 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (5 5 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (5 5 (:REWRITE |(< (/ x) (/ y))|))
 (5 5 (:REWRITE |(< (- x) c)|))
 (5 5 (:REWRITE |(< (- x) (- y))|))
 (4 4 (:REWRITE |(< (/ x) 0)|))
 (4 4 (:REWRITE |(< (* x y) 0)|))
 (4 3 (:REWRITE SIMPLIFY-SUMS-<))
 (4 3 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (4 3 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (2 2 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (2 2 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (2 2 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (2 2 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (2 2 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (2 2 (:REWRITE REDUCE-INTEGERP-+))
 (2 2 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (2 2 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (2 2 (:REWRITE INTEGERP-MINUS-X))
 (2 2 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (2 2 (:REWRITE |(equal c (/ x))|))
 (2 2 (:REWRITE |(equal c (- x))|))
 (2 2 (:REWRITE |(equal (/ x) c)|))
 (2 2 (:REWRITE |(equal (/ x) (/ y))|))
 (2 2 (:REWRITE |(equal (- x) c)|))
 (2 2 (:REWRITE |(equal (- x) (- y))|))
 (2 2 (:META META-INTEGERP-CORRECT))
 (2 1 (:REWRITE DEFAULT-PLUS-2))
 (1 1 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (1 1 (:REWRITE NORMALIZE-ADDENDS))
 (1 1 (:REWRITE DEFAULT-PLUS-1))
 )
(SMAN::!I-!I)
(SMAN::!S-!I
 (6 6 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-CAR))
 )
(SMAN::!S-!S)
(SMAN::!MI-!I
 (14 14 (:REWRITE DEFAULT-CDR))
 (8 2 (:REWRITE SMAN::!NTH-NTH))
 (6 6 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE REDUCE-INTEGERP-+))
 (2 2 (:REWRITE INTEGERP-MINUS-X))
 (2 2 (:META META-INTEGERP-CORRECT))
 )
(SMAN::!MI-!S
 (16 16 (:REWRITE DEFAULT-CDR))
 (8 8 (:REWRITE DEFAULT-CAR))
 (8 2 (:REWRITE SMAN::!NTH-NTH))
 (2 2 (:REWRITE REDUCE-INTEGERP-+))
 (2 2 (:REWRITE INTEGERP-MINUS-X))
 (2 2 (:META META-INTEGERP-CORRECT))
 )
(SMAN::!MI-!MI-SAME
 (123 3 (:REWRITE SMAN::!NTH-NTH))
 (27 27 (:TYPE-PRESCRIPTION LEN))
 (21 21 (:REWRITE DEFAULT-CDR))
 (21 3 (:DEFINITION LEN))
 (9 9 (:REWRITE DEFAULT-CAR))
 (7 4 (:REWRITE SIMPLIFY-SUMS-<))
 (7 4 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (7 4 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (7 4 (:REWRITE DEFAULT-LESS-THAN-2))
 (6 3 (:REWRITE DEFAULT-PLUS-2))
 (4 4 (:REWRITE THE-FLOOR-BELOW))
 (4 4 (:REWRITE THE-FLOOR-ABOVE))
 (4 4 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (4 4 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (4 4 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (4 4 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (4 4 (:REWRITE INTEGERP-<-CONSTANT))
 (4 4 (:REWRITE DEFAULT-LESS-THAN-1))
 (4 4 (:REWRITE CONSTANT-<-INTEGERP))
 (4 4 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (4 4 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (4 4 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (4 4 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (4 4 (:REWRITE |(< c (- x))|))
 (4 4 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (4 4 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (4 4 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (4 4 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (4 4 (:REWRITE |(< (/ x) (/ y))|))
 (4 4 (:REWRITE |(< (- x) c)|))
 (4 4 (:REWRITE |(< (- x) (- y))|))
 (3 3 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (3 3 (:REWRITE NORMALIZE-ADDENDS))
 (3 3 (:REWRITE DEFAULT-PLUS-1))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (1 1 (:REWRITE REDUCE-INTEGERP-+))
 (1 1 (:REWRITE INTEGERP-MINUS-X))
 (1 1 (:REWRITE |(< (/ x) 0)|))
 (1 1 (:REWRITE |(< (* x y) 0)|))
 (1 1 (:META META-INTEGERP-CORRECT))
 )
(SMAN::!MI-!MI-DIFF
 (425 5 (:REWRITE SMAN::!NTH-NTH))
 (158 2 (:REWRITE LEN-UPDATE-NTH))
 (114 2 (:REWRITE |(< x (if a b c))|))
 (72 2 (:DEFINITION MAX))
 (71 71 (:TYPE-PRESCRIPTION LEN))
 (62 2 (:DEFINITION NFIX))
 (35 5 (:DEFINITION LEN))
 (29 29 (:REWRITE DEFAULT-CDR))
 (24 15 (:REWRITE DEFAULT-LESS-THAN-2))
 (18 13 (:REWRITE SIMPLIFY-SUMS-<))
 (18 13 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (18 13 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (17 15 (:REWRITE DEFAULT-LESS-THAN-1))
 (15 15 (:REWRITE THE-FLOOR-BELOW))
 (15 15 (:REWRITE THE-FLOOR-ABOVE))
 (13 13 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (13 13 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (13 13 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (13 13 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (13 13 (:REWRITE INTEGERP-<-CONSTANT))
 (13 13 (:REWRITE CONSTANT-<-INTEGERP))
 (13 13 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (13 13 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (13 13 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (13 13 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (13 13 (:REWRITE |(< c (- x))|))
 (13 13 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (13 13 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (13 13 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (13 13 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (13 13 (:REWRITE |(< (/ x) (/ y))|))
 (13 13 (:REWRITE |(< (- x) c)|))
 (13 13 (:REWRITE |(< (- x) (- y))|))
 (12 12 (:REWRITE DEFAULT-CAR))
 (12 7 (:REWRITE DEFAULT-PLUS-2))
 (7 7 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (7 7 (:REWRITE NORMALIZE-ADDENDS))
 (7 7 (:REWRITE DEFAULT-PLUS-1))
 (6 6 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (4 4 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (4 4 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (4 4 (:REWRITE |(< y (+ (- c) x))|))
 (4 4 (:REWRITE |(< x (+ c/d y))|))
 (4 4 (:REWRITE |(< (/ x) 0)|))
 (4 4 (:REWRITE |(< (* x y) 0)|))
 (2 2 (:REWRITE REDUCE-INTEGERP-+))
 (2 2 (:REWRITE INTEGERP-MINUS-X))
 (2 2 (:META META-INTEGERP-CORRECT))
 (1 1 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (1 1 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (1 1 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (1 1 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (1 1 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (1 1 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (1 1 (:REWRITE |(equal c (/ x))|))
 (1 1 (:REWRITE |(equal c (- x))|))
 (1 1 (:REWRITE |(equal (/ x) c)|))
 (1 1 (:REWRITE |(equal (/ x) (/ y))|))
 (1 1 (:REWRITE |(equal (- x) c)|))
 (1 1 (:REWRITE |(equal (- x) (- y))|))
 )
(SMAN::!I-I
 (64 1 (:DEFINITION SMAN::MP))
 (61 1 (:DEFINITION UNSIGNED-BYTE-P))
 (60 1 (:DEFINITION INTEGER-RANGE-P))
 (22 22 (:REWRITE DEFAULT-CDR))
 (14 7 (:REWRITE DEFAULT-PLUS-2))
 (12 6 (:TYPE-PRESCRIPTION SMAN::NATP-NTH-MP))
 (7 7 (:REWRITE DEFAULT-PLUS-1))
 (6 6 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (6 6 (:REWRITE NORMALIZE-ADDENDS))
 (6 6 (:REWRITE DEFAULT-CAR))
 (4 2 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (4 2 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (3 3 (:REWRITE THE-FLOOR-BELOW))
 (3 3 (:REWRITE THE-FLOOR-ABOVE))
 (3 3 (:REWRITE SIMPLIFY-SUMS-<))
 (3 3 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (3 3 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (3 3 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (3 3 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (3 3 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (3 3 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (3 3 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (3 3 (:REWRITE INTEGERP-<-CONSTANT))
 (3 3 (:REWRITE DEFAULT-LESS-THAN-2))
 (3 3 (:REWRITE DEFAULT-LESS-THAN-1))
 (3 3 (:REWRITE CONSTANT-<-INTEGERP))
 (3 3 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (3 3 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (3 3 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (3 3 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (3 3 (:REWRITE |(< c (- x))|))
 (3 3 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (3 3 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (3 3 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (3 3 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (3 3 (:REWRITE |(< (/ x) (/ y))|))
 (3 3 (:REWRITE |(< (- x) c)|))
 (3 3 (:REWRITE |(< (- x) (- y))|))
 (2 2 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (2 2 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (2 2 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (2 2 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (2 2 (:REWRITE REDUCE-INTEGERP-+))
 (2 2 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (2 2 (:REWRITE INTEGERP-MINUS-X))
 (2 2 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (2 2 (:REWRITE |(equal c (/ x))|))
 (2 2 (:REWRITE |(equal c (- x))|))
 (2 2 (:REWRITE |(equal (/ x) c)|))
 (2 2 (:REWRITE |(equal (/ x) (/ y))|))
 (2 2 (:REWRITE |(equal (- x) c)|))
 (2 2 (:REWRITE |(equal (- x) (- y))|))
 (2 2 (:REWRITE |(< (/ x) 0)|))
 (2 2 (:REWRITE |(< (* x y) 0)|))
 (2 2 (:META META-INTEGERP-CORRECT))
 (1 1 (:REWRITE |(equal (+ (- c) x) y)|))
 )
(SMAN::!S-S
 (64 1 (:DEFINITION SMAN::MP))
 (61 1 (:DEFINITION UNSIGNED-BYTE-P))
 (60 1 (:DEFINITION INTEGER-RANGE-P))
 (24 24 (:REWRITE DEFAULT-CDR))
 (14 7 (:REWRITE DEFAULT-PLUS-2))
 (12 6 (:TYPE-PRESCRIPTION SMAN::NATP-NTH-MP))
 (7 7 (:REWRITE DEFAULT-PLUS-1))
 (7 7 (:REWRITE DEFAULT-CAR))
 (6 6 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (6 6 (:REWRITE NORMALIZE-ADDENDS))
 (4 2 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (4 2 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (3 3 (:REWRITE THE-FLOOR-BELOW))
 (3 3 (:REWRITE THE-FLOOR-ABOVE))
 (3 3 (:REWRITE SIMPLIFY-SUMS-<))
 (3 3 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (3 3 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (3 3 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (3 3 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (3 3 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (3 3 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (3 3 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (3 3 (:REWRITE INTEGERP-<-CONSTANT))
 (3 3 (:REWRITE DEFAULT-LESS-THAN-2))
 (3 3 (:REWRITE DEFAULT-LESS-THAN-1))
 (3 3 (:REWRITE CONSTANT-<-INTEGERP))
 (3 3 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (3 3 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (3 3 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (3 3 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (3 3 (:REWRITE |(< c (- x))|))
 (3 3 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (3 3 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (3 3 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (3 3 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (3 3 (:REWRITE |(< (/ x) (/ y))|))
 (3 3 (:REWRITE |(< (- x) c)|))
 (3 3 (:REWRITE |(< (- x) (- y))|))
 (2 2 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (2 2 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (2 2 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (2 2 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (2 2 (:REWRITE REDUCE-INTEGERP-+))
 (2 2 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (2 2 (:REWRITE INTEGERP-MINUS-X))
 (2 2 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (2 2 (:REWRITE |(equal c (/ x))|))
 (2 2 (:REWRITE |(equal c (- x))|))
 (2 2 (:REWRITE |(equal (/ x) c)|))
 (2 2 (:REWRITE |(equal (/ x) (/ y))|))
 (2 2 (:REWRITE |(equal (- x) c)|))
 (2 2 (:REWRITE |(equal (- x) (- y))|))
 (2 2 (:REWRITE |(< (/ x) 0)|))
 (2 2 (:REWRITE |(< (* x y) 0)|))
 (2 2 (:META META-INTEGERP-CORRECT))
 (1 1 (:REWRITE |(equal (+ (- c) x) y)|))
 )
(SMAN::!MI-MI
 (128 2 (:DEFINITION SMAN::MP))
 (122 2 (:DEFINITION UNSIGNED-BYTE-P))
 (120 2 (:DEFINITION INTEGER-RANGE-P))
 (57 57 (:REWRITE DEFAULT-CDR))
 (30 15 (:REWRITE DEFAULT-PLUS-2))
 (27 21 (:TYPE-PRESCRIPTION SMAN::NATP-NTH-MP))
 (20 20 (:REWRITE DEFAULT-CAR))
 (15 15 (:REWRITE DEFAULT-PLUS-1))
 (11 11 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (11 11 (:REWRITE NORMALIZE-ADDENDS))
 (10 10 (:REWRITE THE-FLOOR-BELOW))
 (10 10 (:REWRITE THE-FLOOR-ABOVE))
 (10 10 (:REWRITE SIMPLIFY-SUMS-<))
 (10 10 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (10 10 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (10 10 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (10 10 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (10 10 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (10 10 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (10 10 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (10 10 (:REWRITE INTEGERP-<-CONSTANT))
 (10 10 (:REWRITE DEFAULT-LESS-THAN-2))
 (10 10 (:REWRITE DEFAULT-LESS-THAN-1))
 (10 10 (:REWRITE CONSTANT-<-INTEGERP))
 (10 10 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (10 10 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (10 10 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (10 10 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (10 10 (:REWRITE |(< c (- x))|))
 (10 10 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (10 10 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (10 10 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (10 10 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (10 10 (:REWRITE |(< (/ x) (/ y))|))
 (10 10 (:REWRITE |(< (- x) c)|))
 (10 10 (:REWRITE |(< (- x) (- y))|))
 (9 5 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (9 5 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (6 6 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (6 6 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (6 6 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (6 6 (:REWRITE REDUCE-INTEGERP-+))
 (6 6 (:REWRITE INTEGERP-MINUS-X))
 (6 6 (:REWRITE |(< (/ x) 0)|))
 (6 6 (:REWRITE |(< (* x y) 0)|))
 (6 6 (:META META-INTEGERP-CORRECT))
 (5 5 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (5 5 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (5 5 (:REWRITE |(equal c (/ x))|))
 (5 5 (:REWRITE |(equal c (- x))|))
 (5 5 (:REWRITE |(equal (/ x) c)|))
 (5 5 (:REWRITE |(equal (/ x) (/ y))|))
 (5 5 (:REWRITE |(equal (- x) c)|))
 (5 5 (:REWRITE |(equal (- x) (- y))|))
 (1 1 (:REWRITE |(equal (+ (- c) x) y)|))
 )
(SMAN::R
 (833 9 (:REWRITE MOD-X-Y-=-X . 3))
 (821 9 (:REWRITE CANCEL-MOD-+))
 (573 9 (:REWRITE MOD-X-Y-=-X . 4))
 (544 9 (:REWRITE MOD-X-Y-=-X+Y . 2))
 (521 9 (:REWRITE MOD-X-Y-=-X-Y . 2))
 (500 184 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B))
 (500 184 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (500 184 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (500 184 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (487 325 (:REWRITE DEFAULT-TIMES-2))
 (479 325 (:REWRITE DEFAULT-TIMES-1))
 (429 9 (:REWRITE MOD-ZERO . 4))
 (345 34 (:REWRITE INTEGERP-MINUS-X))
 (302 9 (:REWRITE MOD-ZERO . 3))
 (268 134 (:TYPE-PRESCRIPTION SMAN::NATP-NTH-MP))
 (237 9 (:REWRITE MOD-X-Y-=-X . 2))
 (237 9 (:REWRITE |(mod (+ x (mod a b)) y)|))
 (237 9 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
 (221 205 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (221 205 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (221 205 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (221 9 (:REWRITE MOD-X-Y-=-X-Y . 3))
 (221 9 (:REWRITE MOD-X-Y-=-X+Y . 3))
 (221 9 (:REWRITE MOD-CANCEL-*-REWRITING-GOAL-LITERAL))
 (221 9 (:REWRITE MOD-CANCEL-*-CONST))
 (221 9 (:REWRITE |(mod (* x (/ y)) z) rewriting-goal-literal|))
 (206 16 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
 (206 16 (:TYPE-PRESCRIPTION MOD-ZERO . 1))
 (185 18 (:REWRITE |(* (- x) y)|))
 (167 167 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (146 44 (:TYPE-PRESCRIPTION |(< (logand x y) 0)| . 3))
 (123 9 (:REWRITE DEFAULT-MOD-RATIO))
 (108 4 (:LINEAR MOD-BOUNDS-2))
 (106 18 (:REWRITE DEFAULT-MINUS))
 (102 60 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (102 60 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (98 44 (:TYPE-PRESCRIPTION |(< (logand x y) 0)| . 2))
 (97 18 (:REWRITE |(- (* c x))|))
 (95 60 (:REWRITE DEFAULT-LESS-THAN-1))
 (70 2 (:LINEAR MOD-BOUNDS-3))
 (68 60 (:REWRITE DEFAULT-LESS-THAN-2))
 (67 11 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (62 60 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (60 60 (:REWRITE THE-FLOOR-BELOW))
 (60 60 (:REWRITE THE-FLOOR-ABOVE))
 (60 60 (:REWRITE SIMPLIFY-SUMS-<))
 (60 60 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (60 60 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (60 60 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (60 60 (:REWRITE INTEGERP-<-CONSTANT))
 (60 60 (:REWRITE CONSTANT-<-INTEGERP))
 (60 60 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (60 60 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (60 60 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (60 60 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (60 60 (:REWRITE |(< c (- x))|))
 (60 60 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (60 60 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (60 60 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (60 60 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (60 60 (:REWRITE |(< (/ x) (/ y))|))
 (60 60 (:REWRITE |(< (- x) c)|))
 (60 60 (:REWRITE |(< (- x) (- y))|))
 (60 1 (:REWRITE MOD-X-Y-=-X-Y . 1))
 (53 1 (:REWRITE MOD-X-Y-=-X+Y . 1))
 (50 6 (:REWRITE |(+ y x)|))
 (48 44 (:TYPE-PRESCRIPTION |(< (logand x y) 0)| . 1))
 (47 3 (:REWRITE |(equal (+ (- c) x) y)|))
 (44 16 (:TYPE-PRESCRIPTION MOD-ZERO . 4))
 (44 16 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
 (43 43 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (38 16 (:TYPE-PRESCRIPTION MOD-POSITIVE . 2))
 (38 16 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (34 10 (:REWRITE NORMALIZE-ADDENDS))
 (30 16 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
 (30 16 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (30 16 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (30 16 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (28 28 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (28 28 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (28 28 (:REWRITE |(< (/ x) 0)|))
 (28 28 (:REWRITE |(< (* x y) 0)|))
 (28 14 (:TYPE-PRESCRIPTION RATIONALP-MOD))
 (26 22 (:REWRITE DEFAULT-PLUS-1))
 (26 2 (:REWRITE |(+ y (+ x z))|))
 (25 25 (:REWRITE REDUCE-INTEGERP-+))
 (25 25 (:META META-INTEGERP-CORRECT))
 (22 22 (:REWRITE DEFAULT-PLUS-2))
 (19 11 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (19 11 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (17 9 (:REWRITE DEFAULT-MOD-1))
 (15 5 (:LINEAR SMAN::BYTEP-NTH-MP))
 (12 12 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (12 12 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (11 11 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (11 11 (:REWRITE |(equal c (/ x))|))
 (11 11 (:REWRITE |(equal c (- x))|))
 (11 11 (:REWRITE |(equal (/ x) c)|))
 (11 11 (:REWRITE |(equal (/ x) (/ y))|))
 (11 11 (:REWRITE |(equal (- x) c)|))
 (11 11 (:REWRITE |(equal (- x) (- y))|))
 (10 10 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (10 10 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (10 10 (:REWRITE |(< 0 (/ x))|))
 (10 10 (:REWRITE |(< 0 (* x y))|))
 (9 9 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (9 9 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (9 9 (:REWRITE DEFAULT-MOD-2))
 (9 9 (:REWRITE |(mod x (- y))| . 3))
 (9 9 (:REWRITE |(mod x (- y))| . 2))
 (9 9 (:REWRITE |(mod x (- y))| . 1))
 (9 9 (:REWRITE |(mod x (* y (/ z))) rewriting-goal-literal|))
 (9 9 (:REWRITE |(mod x (* y (/ z))) not rewriting-goal-literal|))
 (9 9 (:REWRITE |(mod (- x) y)| . 3))
 (9 9 (:REWRITE |(mod (- x) y)| . 2))
 (9 9 (:REWRITE |(mod (- x) y)| . 1))
 (9 9 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
 (8 4 (:REWRITE BUBBLE-DOWN-+-MATCH-1))
 (6 6 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (6 6 (:DEFINITION FIX))
 (6 2 (:LINEAR LOGAND-BOUNDS-NEG . 2))
 (6 2 (:LINEAR LOGAND-BOUNDS-NEG . 1))
 (5 5 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-ODD-EXPONENT))
 (5 5 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (5 5 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (5 5 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (5 5 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (5 5 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
 (5 5 (:REWRITE DEFAULT-LOGAND-1))
 (4 4 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (4 4 (:REWRITE |(+ x (- x))|))
 (3 3 (:REWRITE ZP-OPEN))
 (3 3 (:REWRITE |(< y (+ (- c) x))|))
 (3 3 (:REWRITE |(< x (+ c/d y))|))
 )
(SMAN::!R
 (321 321 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B))
 (321 321 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (321 321 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (321 321 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (306 16 (:REWRITE DEFAULT-PLUS-1))
 (305 16 (:REWRITE DEFAULT-PLUS-2))
 (132 66 (:TYPE-PRESCRIPTION SMAN::NATP-NTH-MP))
 (117 9 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (106 2 (:REWRITE CANCEL-MOD-+))
 (105 21 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
 (105 21 (:TYPE-PRESCRIPTION MOD-ZERO . 1))
 (105 21 (:TYPE-PRESCRIPTION MOD-POSITIVE . 2))
 (105 21 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (96 1 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (86 22 (:REWRITE DEFAULT-LESS-THAN-1))
 (84 20 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (84 20 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (82 13 (:REWRITE INTEGERP-MINUS-X))
 (81 9 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
 (81 9 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 1))
 (81 9 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
 (70 2 (:REWRITE MOD-X-Y-=-X . 4))
 (68 1 (:REWRITE FLOOR-ZERO . 3))
 (62 2 (:REWRITE MOD-X-Y-=-X-Y . 2))
 (60 2 (:REWRITE MOD-X-Y-=-X . 3))
 (53 1 (:REWRITE CANCEL-FLOOR-+))
 (51 6 (:REWRITE |(* (- x) y)|))
 (47 47 (:TYPE-PRESCRIPTION |(< (logand x y) 0)| . 1))
 (45 9 (:TYPE-PRESCRIPTION FLOOR-ZERO . 4))
 (45 9 (:TYPE-PRESCRIPTION FLOOR-ZERO . 3))
 (45 9 (:TYPE-PRESCRIPTION FLOOR-ZERO . 1))
 (45 9 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 3))
 (45 9 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 2))
 (45 9 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 3))
 (45 9 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 2))
 (45 9 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 3))
 (45 9 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 3))
 (45 9 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
 (44 44 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (44 44 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (44 44 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (44 44 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (44 2 (:REWRITE MOD-ZERO . 3))
 (36 2 (:REWRITE MOD-ZERO . 4))
 (35 35 (:REWRITE DEFAULT-TIMES-2))
 (35 35 (:REWRITE DEFAULT-TIMES-1))
 (35 1 (:REWRITE FLOOR-ZERO . 5))
 (31 1 (:REWRITE FLOOR-X-Y-=-1 . 2))
 (30 6 (:REWRITE DEFAULT-MINUS))
 (30 1 (:REWRITE FLOOR-ZERO . 4))
 (27 6 (:REWRITE |(- (* c x))|))
 (24 24 (:REWRITE THE-FLOOR-BELOW))
 (24 22 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (24 22 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (22 22 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (22 22 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (22 22 (:REWRITE INTEGERP-<-CONSTANT))
 (22 22 (:REWRITE DEFAULT-LESS-THAN-2))
 (22 22 (:REWRITE CONSTANT-<-INTEGERP))
 (22 22 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (22 22 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (22 22 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (22 22 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (22 22 (:REWRITE |(< c (- x))|))
 (22 22 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (22 22 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (22 22 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (22 22 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (22 22 (:REWRITE |(< (/ x) (/ y))|))
 (22 22 (:REWRITE |(< (- x) c)|))
 (22 22 (:REWRITE |(< (- x) (- y))|))
 (22 2 (:REWRITE DEFAULT-MOD-RATIO))
 (22 1 (:REWRITE FLOOR-=-X/Y . 3))
 (22 1 (:REWRITE FLOOR-=-X/Y . 2))
 (22 1 (:LINEAR MOD-BOUNDS-3))
 (21 21 (:TYPE-PRESCRIPTION MOD-ZERO . 4))
 (21 21 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
 (21 21 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (21 21 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (21 21 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (21 21 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
 (20 20 (:REWRITE SIMPLIFY-SUMS-<))
 (19 19 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (11 1 (:REWRITE DEFAULT-FLOOR-RATIO))
 (10 10 (:REWRITE REDUCE-INTEGERP-+))
 (10 10 (:META META-INTEGERP-CORRECT))
 (10 2 (:REWRITE MOD-X-Y-=-X-Y . 3))
 (10 2 (:REWRITE MOD-X-Y-=-X+Y . 3))
 (10 2 (:REWRITE MOD-X-Y-=-X+Y . 2))
 (10 2 (:REWRITE MOD-X-Y-=-X . 2))
 (10 2 (:REWRITE MOD-CANCEL-*-REWRITING-GOAL-LITERAL))
 (10 2 (:REWRITE MOD-CANCEL-*-CONST))
 (10 2 (:REWRITE |(mod (+ x (mod a b)) y)|))
 (10 2 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
 (10 2 (:REWRITE |(mod (* x (/ y)) z) rewriting-goal-literal|))
 (10 2 (:LINEAR MOD-BOUNDS-2))
 (8 8 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (7 7 (:REWRITE |(< (/ x) 0)|))
 (7 7 (:REWRITE |(< (* x y) 0)|))
 (6 6 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (6 6 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (6 2 (:LINEAR SMAN::BYTEP-NTH-MP))
 (5 1 (:REWRITE FLOOR-ZERO . 2))
 (5 1 (:REWRITE FLOOR-X-Y-=-1 . 3))
 (5 1 (:REWRITE FLOOR-X-Y-=--1 . 3))
 (5 1 (:REWRITE FLOOR-X-Y-=--1 . 2))
 (5 1 (:REWRITE FLOOR-CANCEL-*-REWRITING-GOAL-LITERAL))
 (5 1 (:REWRITE FLOOR-CANCEL-*-CONST))
 (5 1 (:REWRITE |(floor (* x (/ y)) z) rewriting-goal-literal|))
 (4 4 (:TYPE-PRESCRIPTION ABS))
 (3 3 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (3 3 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (3 3 (:REWRITE |(< 0 (/ x))|))
 (3 3 (:REWRITE |(< 0 (* x y))|))
 (2 2 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (2 2 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (2 2 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (2 2 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (2 2 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (2 2 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (2 2 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (2 2 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (2 2 (:REWRITE DEFAULT-MOD-2))
 (2 2 (:REWRITE DEFAULT-MOD-1))
 (2 2 (:REWRITE DEFAULT-LOGAND-2))
 (2 2 (:REWRITE DEFAULT-LOGAND-1))
 (2 2 (:REWRITE |(mod x (- y))| . 3))
 (2 2 (:REWRITE |(mod x (- y))| . 2))
 (2 2 (:REWRITE |(mod x (- y))| . 1))
 (2 2 (:REWRITE |(mod x (* y (/ z))) rewriting-goal-literal|))
 (2 2 (:REWRITE |(mod x (* y (/ z))) not rewriting-goal-literal|))
 (2 2 (:REWRITE |(mod (- x) y)| . 3))
 (2 2 (:REWRITE |(mod (- x) y)| . 2))
 (2 2 (:REWRITE |(mod (- x) y)| . 1))
 (2 2 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
 (2 2 (:REWRITE |(equal c (/ x))|))
 (2 2 (:REWRITE |(equal c (- x))|))
 (2 2 (:REWRITE |(equal (/ x) c)|))
 (2 2 (:REWRITE |(equal (/ x) (/ y))|))
 (2 2 (:REWRITE |(equal (- x) c)|))
 (2 2 (:REWRITE |(equal (- x) (- y))|))
 (2 2 (:REWRITE |(< y (+ (- c) x))|))
 (2 2 (:REWRITE |(< x (+ c/d y))|))
 (2 2 (:REWRITE |(< (+ c/d x) y)|))
 (2 2 (:REWRITE |(< (+ (- c) x) y)|))
 (1 1 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-ODD-EXPONENT))
 (1 1 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (1 1 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (1 1 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (1 1 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (1 1 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
 (1 1 (:REWRITE ZP-OPEN))
 (1 1 (:REWRITE MOD-NEGATIVE . 3))
 (1 1 (:REWRITE MOD-NEGATIVE . 2))
 (1 1 (:REWRITE FOLD-CONSTS-IN-+))
 (1 1 (:REWRITE FLOOR-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (1 1 (:REWRITE DEFAULT-FLOOR-2))
 (1 1 (:REWRITE DEFAULT-FLOOR-1))
 (1 1 (:REWRITE |(floor x (- y))| . 2))
 (1 1 (:REWRITE |(floor x (- y))| . 1))
 (1 1 (:REWRITE |(floor x (* y (/ z))) rewriting-goal-literal|))
 (1 1 (:REWRITE |(floor x (* y (/ z))) not rewriting-goal-literal|))
 (1 1 (:REWRITE |(floor (- x) y)| . 2))
 (1 1 (:REWRITE |(floor (- x) y)| . 1))
 (1 1 (:REWRITE |(floor (* x (/ y)) z) not rewriting-goal-literal|))
 (1 1 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
 (1 1 (:REWRITE |(< (* (/ x) y) 1) with (< x 0)|))
 (1 1 (:REWRITE |(< (* (/ x) y) 1) with (< 0 x)|))
 )
(SMAN::R-BOUND
 (528 64 (:REWRITE DEFAULT-PLUS-1))
 (450 9 (:REWRITE CANCEL-MOD-+))
 (351 9 (:REWRITE MOD-X-Y-=-X . 4))
 (351 9 (:REWRITE MOD-X-Y-=-X . 3))
 (342 9 (:REWRITE MOD-X-Y-=-X+Y . 2))
 (315 73 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (315 9 (:REWRITE MOD-X-Y-=-X-Y . 2))
 (297 297 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B))
 (297 297 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (297 297 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (297 297 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (263 263 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (263 263 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (263 263 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (263 263 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (263 263 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
 (259 61 (:REWRITE INTEGERP-MINUS-X))
 (238 128 (:REWRITE DEFAULT-TIMES-2))
 (219 77 (:REWRITE DEFAULT-LESS-THAN-2))
 (217 64 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (216 9 (:REWRITE MOD-ZERO . 4))
 (214 70 (:REWRITE DEFAULT-PLUS-2))
 (206 103 (:TYPE-PRESCRIPTION SMAN::NATP-MI))
 (202 77 (:REWRITE DEFAULT-LESS-THAN-1))
 (190 38 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
 (190 38 (:TYPE-PRESCRIPTION MOD-ZERO . 1))
 (190 38 (:TYPE-PRESCRIPTION MOD-POSITIVE . 2))
 (190 38 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (189 9 (:REWRITE MOD-ZERO . 3))
 (172 64 (:REWRITE SIMPLIFY-SUMS-<))
 (157 157 (:TYPE-PRESCRIPTION SMAN::STP))
 (140 128 (:REWRITE DEFAULT-TIMES-1))
 (135 18 (:REWRITE |(* (- x) y)|))
 (108 54 (:LINEAR SMAN::BYTEP-MI))
 (108 12 (:REWRITE ACL2-NUMBERP-X))
 (95 95 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (95 95 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (95 95 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (90 18 (:REWRITE DEFAULT-MINUS))
 (90 9 (:REWRITE DEFAULT-MOD-RATIO))
 (84 2 (:LINEAR EXPT-<=-1-TWO))
 (83 65 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (82 2 (:LINEAR EXPT->-1-ONE))
 (80 2 (:LINEAR EXPT-X->=-X))
 (80 2 (:LINEAR EXPT-X->-X))
 (77 77 (:REWRITE THE-FLOOR-BELOW))
 (77 77 (:REWRITE THE-FLOOR-ABOVE))
 (75 73 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (75 73 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (66 8 (:REWRITE DEFAULT-FLOOR-RATIO))
 (65 65 (:REWRITE INTEGERP-<-CONSTANT))
 (65 65 (:REWRITE CONSTANT-<-INTEGERP))
 (65 65 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (65 65 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (65 65 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (65 65 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (65 65 (:REWRITE |(< c (- x))|))
 (65 65 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (65 65 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (65 65 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (65 65 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (65 65 (:REWRITE |(< (/ x) (/ y))|))
 (65 65 (:REWRITE |(< (- x) c)|))
 (65 65 (:REWRITE |(< (- x) (- y))|))
 (63 18 (:REWRITE |(- (* c x))|))
 (52 52 (:REWRITE REDUCE-INTEGERP-+))
 (52 52 (:META META-INTEGERP-CORRECT))
 (52 50 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (48 12 (:REWRITE RATIONALP-X))
 (45 9 (:REWRITE MOD-X-Y-=-X-Y . 3))
 (45 9 (:REWRITE MOD-X-Y-=-X+Y . 3))
 (45 9 (:REWRITE MOD-X-Y-=-X . 2))
 (45 9 (:REWRITE MOD-CANCEL-*-REWRITING-GOAL-LITERAL))
 (45 9 (:REWRITE MOD-CANCEL-*-CONST))
 (45 9 (:REWRITE |(mod (+ x (mod a b)) y)|))
 (45 9 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
 (45 9 (:REWRITE |(mod (* x (/ y)) z) rewriting-goal-literal|))
 (38 38 (:TYPE-PRESCRIPTION MOD-ZERO . 4))
 (38 38 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
 (38 38 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (38 38 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (38 38 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (38 38 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
 (32 8 (:REWRITE |(+ c (+ d x))|))
 (28 28 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (28 28 (:REWRITE NORMALIZE-ADDENDS))
 (28 2 (:LINEAR EXPT->=-1-ONE))
 (23 23 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (23 23 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (23 23 (:REWRITE |(< (/ x) 0)|))
 (23 23 (:REWRITE |(< (* x y) 0)|))
 (21 1 (:LINEAR MOD-BOUNDS-3))
 (20 20 (:REWRITE |(< 0 (* x y))|))
 (16 16 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (16 16 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (16 16 (:REWRITE |(< 0 (/ x))|))
 (14 8 (:REWRITE DEFAULT-FLOOR-1))
 (13 13 (:REWRITE DEFAULT-EXPT-1))
 (13 13 (:REWRITE |(expt 1/c n)|))
 (13 13 (:REWRITE |(expt (- x) n)|))
 (12 12 (:REWRITE REDUCE-RATIONALP-+))
 (12 12 (:REWRITE REDUCE-RATIONALP-*))
 (12 12 (:REWRITE RATIONALP-MINUS-X))
 (12 12 (:META META-RATIONALP-CORRECT))
 (10 2 (:LINEAR MOD-BOUNDS-2))
 (9 9 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (9 9 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (9 9 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (9 9 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (9 9 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (9 9 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (9 9 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (9 9 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (9 9 (:REWRITE DEFAULT-MOD-2))
 (9 9 (:REWRITE DEFAULT-MOD-1))
 (9 9 (:REWRITE |(mod x (- y))| . 3))
 (9 9 (:REWRITE |(mod x (- y))| . 2))
 (9 9 (:REWRITE |(mod x (- y))| . 1))
 (9 9 (:REWRITE |(mod x (* y (/ z))) rewriting-goal-literal|))
 (9 9 (:REWRITE |(mod x (* y (/ z))) not rewriting-goal-literal|))
 (9 9 (:REWRITE |(mod (- x) y)| . 3))
 (9 9 (:REWRITE |(mod (- x) y)| . 2))
 (9 9 (:REWRITE |(mod (- x) y)| . 1))
 (9 9 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
 (9 9 (:REWRITE |(equal c (/ x))|))
 (9 9 (:REWRITE |(equal c (- x))|))
 (9 9 (:REWRITE |(equal (/ x) c)|))
 (9 9 (:REWRITE |(equal (/ x) (/ y))|))
 (9 9 (:REWRITE |(equal (- x) c)|))
 (9 9 (:REWRITE |(equal (- x) (- y))|))
 (8 8 (:REWRITE DEFAULT-LOGAND-1))
 (8 8 (:REWRITE DEFAULT-FLOOR-2))
 (8 8 (:REWRITE |(< x (+ c/d y))|))
 (5 5 (:REWRITE ZP-OPEN))
 (5 5 (:REWRITE ZIP-OPEN))
 (4 4 (:TYPE-PRESCRIPTION ABS))
 (4 4 (:LINEAR EXPT-IS-WEAKLY-INCREASING-FOR-BASE->-1))
 (4 4 (:LINEAR EXPT-IS-WEAKLY-DECREASING-FOR-POS-BASE-<-1))
 (4 4 (:LINEAR EXPT-IS-INCREASING-FOR-BASE->-1))
 (4 4 (:LINEAR EXPT-IS-DECREASING-FOR-POS-BASE-<-1))
 (2 2 (:REWRITE |(< (+ c/d x) y)|))
 (2 2 (:REWRITE |(< (+ (- c) x) y)|))
 (2 2 (:LINEAR EXPT-LINEAR-UPPER-<=))
 (2 2 (:LINEAR EXPT-LINEAR-UPPER-<))
 (2 2 (:LINEAR EXPT-LINEAR-LOWER-<=))
 (2 2 (:LINEAR EXPT-LINEAR-LOWER-<))
 (2 2 (:LINEAR EXPT->=-1-TWO))
 (2 2 (:LINEAR EXPT->-1-TWO))
 (2 2 (:LINEAR EXPT-<=-1-ONE))
 (2 2 (:LINEAR EXPT-<-1-TWO))
 (2 2 (:LINEAR EXPT-<-1-ONE))
 (1 1 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
 )
(SMAN::STP-!R
 (16434 44 (:LINEAR LINEAR-FLOOR-BOUNDS-1))
 (15701 1 (:REWRITE |(logand (if a b c) x)|))
 (15638 11318 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B))
 (13525 1 (:REWRITE |(floor (if a b c) x)|))
 (11318 11318 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (11318 11318 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (11318 11318 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (10956 180 (:REWRITE THE-FLOOR-ABOVE))
 (6282 929 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (5775 16 (:REWRITE SMAN::!MI-MI))
 (5415 57 (:REWRITE CANCEL-FLOOR-+))
 (5262 21 (:REWRITE MOD-ZERO . 4))
 (5013 21 (:REWRITE MOD-X-Y-=-X . 3))
 (4889 57 (:REWRITE FLOOR-ZERO . 3))
 (4790 21 (:REWRITE MOD-X-Y-=-X+Y . 2))
 (4725 21 (:REWRITE MOD-X-Y-=-X-Y . 2))
 (4647 57 (:REWRITE FLOOR-X-Y-=-1 . 2))
 (4629 57 (:REWRITE FLOOR-ZERO . 4))
 (4619 57 (:REWRITE FLOOR-X-Y-=--1 . 2))
 (4363 21 (:REWRITE MOD-X-Y-=-X . 4))
 (4158 462 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (4158 462 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
 (4158 462 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 1))
 (4158 462 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 1))
 (4158 462 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
 (4145 159 (:REWRITE DEFAULT-PLUS-1))
 (4133 159 (:REWRITE DEFAULT-PLUS-2))
 (4022 228 (:REWRITE INTEGERP-MINUS-X))
 (3979 57 (:REWRITE FLOOR-ZERO . 5))
 (3872 887 (:REWRITE DEFAULT-TIMES-2))
 (3771 63 (:REWRITE NORMALIZE-ADDENDS))
 (3739 21 (:REWRITE CANCEL-MOD-+))
 (3109 887 (:REWRITE DEFAULT-TIMES-1))
 (3009 323 (:REWRITE |(* y x)|))
 (2936 158 (:REWRITE |(* (- x) y)|))
 (2898 3 (:REWRITE |(equal (if a b c) x)|))
 (2792 2 (:REWRITE |(mod (floor x y) z)| . 1))
 (2310 462 (:TYPE-PRESCRIPTION FLOOR-ZERO . 4))
 (2310 462 (:TYPE-PRESCRIPTION FLOOR-ZERO . 3))
 (2310 462 (:TYPE-PRESCRIPTION FLOOR-ZERO . 1))
 (2310 462 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 3))
 (2310 462 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 2))
 (2310 462 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 3))
 (2310 462 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 2))
 (2310 462 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 3))
 (2310 462 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 2))
 (2310 462 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 3))
 (2310 462 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
 (1784 158 (:REWRITE DEFAULT-MINUS))
 (1729 57 (:REWRITE FLOOR-=-X/Y . 2))
 (1722 158 (:REWRITE |(- (* c x))|))
 (1643 58 (:REWRITE DEFAULT-FLOOR-RATIO))
 (1473 57 (:REWRITE FLOOR-=-X/Y . 3))
 (1472 21 (:REWRITE MOD-ZERO . 3))
 (1224 12 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (1224 12 (:DEFINITION FIX))
 (1004 180 (:REWRITE THE-FLOOR-BELOW))
 (929 929 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (929 929 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (929 929 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (853 159 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (837 21 (:REWRITE DEFAULT-MOD-RATIO))
 (572 168 (:REWRITE DEFAULT-LESS-THAN-2))
 (514 168 (:REWRITE DEFAULT-LESS-THAN-1))
 (509 21 (:REWRITE MOD-X-Y-=-X . 2))
 (509 21 (:REWRITE |(mod (+ x (mod a b)) y)|))
 (509 21 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
 (487 57 (:REWRITE FLOOR-ZERO . 2))
 (487 57 (:REWRITE FLOOR-X-Y-=-1 . 3))
 (487 57 (:REWRITE FLOOR-X-Y-=--1 . 3))
 (485 485 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (479 57 (:REWRITE FLOOR-CANCEL-*-CONST))
 (462 462 (:TYPE-PRESCRIPTION FLOOR))
 (460 2 (:REWRITE |(floor (floor x y) z)| . 1))
 (449 159 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (410 82 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
 (410 82 (:TYPE-PRESCRIPTION MOD-ZERO . 1))
 (410 82 (:TYPE-PRESCRIPTION MOD-POSITIVE . 2))
 (410 82 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (388 166 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (361 58 (:REWRITE DEFAULT-FLOOR-1))
 (359 29 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (359 29 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (311 57 (:REWRITE FLOOR-CANCEL-*-REWRITING-GOAL-LITERAL))
 (307 21 (:REWRITE MOD-X-Y-=-X-Y . 3))
 (307 21 (:REWRITE MOD-X-Y-=-X+Y . 3))
 (307 21 (:REWRITE MOD-CANCEL-*-CONST))
 (263 21 (:REWRITE MOD-CANCEL-*-REWRITING-GOAL-LITERAL))
 (233 57 (:REWRITE FLOOR-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (231 55 (:REWRITE |(floor (* x (/ y)) z) not rewriting-goal-literal|))
 (225 23 (:REWRITE DEFAULT-LOGAND-2))
 (223 21 (:REWRITE DEFAULT-MOD-1))
 (209 1 (:REWRITE |(* (if a b c) x)|))
 (198 22 (:LINEAR LINEAR-FLOOR-BOUNDS-3))
 (190 166 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (190 166 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (165 19 (:LINEAR SMAN::BYTEP-MI))
 (160 160 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (160 160 (:REWRITE INTEGERP-<-CONSTANT))
 (160 160 (:REWRITE CONSTANT-<-INTEGERP))
 (160 160 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (160 160 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (160 160 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (160 160 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (160 160 (:REWRITE |(< c (- x))|))
 (160 160 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (160 160 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (160 160 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (160 160 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (160 160 (:REWRITE |(< (/ x) (/ y))|))
 (160 160 (:REWRITE |(< (- x) c)|))
 (160 160 (:REWRITE |(< (- x) (- y))|))
 (159 159 (:REWRITE SIMPLIFY-SUMS-<))
 (156 3 (:REWRITE SMAN::!MI-!MI-DIFF))
 (154 7 (:LINEAR MOD-BOUNDS-3))
 (150 150 (:REWRITE REDUCE-INTEGERP-+))
 (150 150 (:META META-INTEGERP-CORRECT))
 (149 29 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (139 139 (:TYPE-PRESCRIPTION SMAN::NATP-MI))
 (110 22 (:LINEAR LINEAR-FLOOR-BOUNDS-2))
 (108 9 (:REWRITE ZP-OPEN))
 (99 55 (:REWRITE |(floor (* x (/ y)) z) rewriting-goal-literal|))
 (82 82 (:TYPE-PRESCRIPTION MOD-ZERO . 4))
 (82 82 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
 (82 82 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (82 82 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (82 82 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (82 82 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
 (81 81 (:REWRITE |(< (/ x) 0)|))
 (81 81 (:REWRITE |(< (* x y) 0)|))
 (80 80 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (80 80 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (70 14 (:LINEAR MOD-BOUNDS-2))
 (66 6 (:REWRITE |(+ y (+ x z))|))
 (65 21 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (63 19 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
 (58 58 (:REWRITE DEFAULT-FLOOR-2))
 (55 55 (:REWRITE |(floor x (- y))| . 2))
 (55 55 (:REWRITE |(floor x (- y))| . 1))
 (55 55 (:REWRITE |(floor x (* y (/ z))) rewriting-goal-literal|))
 (55 55 (:REWRITE |(floor x (* y (/ z))) not rewriting-goal-literal|))
 (55 55 (:REWRITE |(floor (- x) y)| . 2))
 (55 55 (:REWRITE |(floor (- x) y)| . 1))
 (54 12 (:REWRITE |(+ c (+ d x))|))
 (51 51 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (51 19 (:REWRITE |(mod (* x (/ y)) z) rewriting-goal-literal|))
 (48 48 (:TYPE-PRESCRIPTION ABS))
 (36 4 (:REWRITE FLOOR-POSITIVE . 2))
 (36 4 (:REWRITE FLOOR-NONPOSITIVE . 1))
 (34 34 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
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(SMAN::I-!R
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 (36 18 (:REWRITE BUBBLE-DOWN-+-MATCH-1))
 (30 30 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (30 30 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (30 30 (:REWRITE |(< 0 (/ x))|))
 (30 30 (:REWRITE |(< 0 (* x y))|))
 (30 6 (:REWRITE FLOOR-POSITIVE . 4))
 (30 6 (:REWRITE FLOOR-POSITIVE . 3))
 (30 6 (:REWRITE FLOOR-NONPOSITIVE . 3))
 (30 6 (:REWRITE FLOOR-NONPOSITIVE . 2))
 (28 28 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
 (20 16 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (20 3 (:REWRITE SMAN::!MI-!MI-DIFF))
 (18 18 (:REWRITE |(+ x (- x))|))
 (16 16 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (16 16 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (16 16 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (16 16 (:REWRITE |(equal c (/ x))|))
 (16 16 (:REWRITE |(equal c (- x))|))
 (16 16 (:REWRITE |(equal (/ x) c)|))
 (16 16 (:REWRITE |(equal (/ x) (/ y))|))
 (16 16 (:REWRITE |(equal (- x) c)|))
 (16 16 (:REWRITE |(equal (- x) (- y))|))
 (15 5 (:REWRITE SMAN::STP-!MI))
 (15 3 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
 (15 3 (:TYPE-PRESCRIPTION MOD-ZERO . 1))
 (15 3 (:TYPE-PRESCRIPTION MOD-POSITIVE . 2))
 (15 3 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (15 3 (:REWRITE FLOOR-=-X/Y . 4))
 (15 3 (:REWRITE |(equal (floor (+ x y) z) x)|))
 (14 2 (:REWRITE INTEGERP-+-REDUCE-CONSTANT))
 (12 12 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (12 12 (:REWRITE REDUCE-RATIONALP-+))
 (12 12 (:REWRITE REDUCE-RATIONALP-*))
 (12 12 (:REWRITE RATIONALP-MINUS-X))
 (12 12 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (12 12 (:REWRITE DEFAULT-MOD-2))
 (12 12 (:META META-RATIONALP-CORRECT))
 (9 9 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-ODD-EXPONENT))
 (9 9 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (9 9 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (9 9 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (9 9 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (9 9 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
 (9 9 (:REWRITE |(mod x (- y))| . 3))
 (9 9 (:REWRITE |(mod x (- y))| . 2))
 (9 9 (:REWRITE |(mod x (- y))| . 1))
 (9 9 (:REWRITE |(mod x (* y (/ z))) rewriting-goal-literal|))
 (9 9 (:REWRITE |(mod x (* y (/ z))) not rewriting-goal-literal|))
 (9 9 (:REWRITE |(mod (- x) y)| . 3))
 (9 9 (:REWRITE |(mod (- x) y)| . 2))
 (9 9 (:REWRITE |(mod (- x) y)| . 1))
 (9 9 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
 (8 1 (:REWRITE |(+ x (if a b c))|))
 (6 6 (:REWRITE FLOOR-POSITIVE . 1))
 (5 5 (:REWRITE |(< y (+ (- c) x))|))
 (5 5 (:REWRITE |(< x (+ c/d y))|))
 (3 3 (:TYPE-PRESCRIPTION MOD-ZERO . 4))
 (3 3 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
 (3 3 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (3 3 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (3 3 (:TYPE-PRESCRIPTION MOD-NONNEGATIVE))
 (3 3 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (3 3 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
 (3 3 (:TYPE-PRESCRIPTION INTEGERP-MOD-1))
 (3 3 (:REWRITE FLOOR-ZERO . 1))
 (3 3 (:REWRITE |(mod (floor x y) z)| . 5))
 (3 3 (:REWRITE |(mod (floor x y) z)| . 4))
 (3 3 (:REWRITE |(mod (floor x y) z)| . 3))
 (3 3 (:REWRITE |(mod (floor x y) z)| . 2))
 (3 3 (:REWRITE |(floor (floor x y) z)| . 5))
 (3 3 (:REWRITE |(floor (floor x y) z)| . 4))
 (3 3 (:REWRITE |(floor (floor x y) z)| . 3))
 (3 3 (:REWRITE |(floor (floor x y) z)| . 2))
 )
(SMAN::R-!I
 (1634 126 (:REWRITE DEFAULT-PLUS-1))
 (1378 26 (:REWRITE CANCEL-MOD-+))
 (1014 26 (:REWRITE MOD-X-Y-=-X . 4))
 (1014 26 (:REWRITE MOD-X-Y-=-X . 3))
 (988 26 (:REWRITE MOD-X-Y-=-X+Y . 2))
 (910 26 (:REWRITE MOD-X-Y-=-X-Y . 2))
 (814 216 (:REWRITE INTEGERP-MINUS-X))
 (644 146 (:REWRITE DEFAULT-PLUS-2))
 (630 630 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B))
 (630 630 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (630 630 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (630 630 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (624 26 (:REWRITE MOD-ZERO . 4))
 (588 294 (:TYPE-PRESCRIPTION SMAN::NATP-MI))
 (576 64 (:REWRITE ACL2-NUMBERP-X))
 (572 26 (:REWRITE MOD-ZERO . 3))
 (494 140 (:REWRITE DEFAULT-LESS-THAN-2))
 (458 458 (:TYPE-PRESCRIPTION SMAN::STP))
 (442 52 (:REWRITE |(* (- x) y)|))
 (390 338 (:REWRITE DEFAULT-TIMES-2))
 (390 338 (:REWRITE DEFAULT-TIMES-1))
 (318 132 (:REWRITE DEFAULT-LESS-THAN-1))
 (312 156 (:LINEAR SMAN::BYTEP-MI))
 (300 60 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
 (300 60 (:TYPE-PRESCRIPTION MOD-ZERO . 1))
 (300 60 (:TYPE-PRESCRIPTION MOD-POSITIVE . 2))
 (300 60 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (286 26 (:REWRITE DEFAULT-MOD-RATIO))
 (260 52 (:REWRITE DEFAULT-MINUS))
 (260 26 (:REWRITE DEFAULT-FLOOR-RATIO))
 (256 64 (:REWRITE RATIONALP-X))
 (249 128 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (234 234 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (234 234 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (234 234 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (234 234 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (234 52 (:REWRITE |(- (* c x))|))
 (190 190 (:REWRITE REDUCE-INTEGERP-+))
 (190 190 (:META META-INTEGERP-CORRECT))
 (186 5 (:LINEAR EXPT-X->=-X))
 (186 5 (:LINEAR EXPT-X->-X))
 (182 182 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (148 5 (:LINEAR EXPT->=-1-ONE))
 (148 5 (:LINEAR EXPT-<=-1-TWO))
 (140 140 (:REWRITE THE-FLOOR-BELOW))
 (140 140 (:REWRITE THE-FLOOR-ABOVE))
 (130 26 (:REWRITE MOD-X-Y-=-X-Y . 3))
 (130 26 (:REWRITE MOD-X-Y-=-X+Y . 3))
 (130 26 (:REWRITE MOD-X-Y-=-X . 2))
 (130 26 (:REWRITE MOD-CANCEL-*-REWRITING-GOAL-LITERAL))
 (130 26 (:REWRITE MOD-CANCEL-*-CONST))
 (130 26 (:REWRITE |(mod (+ x (mod a b)) y)|))
 (130 26 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
 (130 26 (:REWRITE |(mod (* x (/ y)) z) rewriting-goal-literal|))
 (128 128 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (128 128 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (124 124 (:REWRITE SIMPLIFY-SUMS-<))
 (124 124 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (124 124 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (124 124 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (124 124 (:REWRITE INTEGERP-<-CONSTANT))
 (124 124 (:REWRITE CONSTANT-<-INTEGERP))
 (124 124 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (124 124 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (124 124 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (124 124 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (124 124 (:REWRITE |(< c (- x))|))
 (124 124 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (124 124 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (124 124 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (124 124 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (124 124 (:REWRITE |(< (/ x) (/ y))|))
 (124 124 (:REWRITE |(< (- x) c)|))
 (124 124 (:REWRITE |(< (- x) (- y))|))
 (107 5 (:LINEAR EXPT-<-1-TWO))
 (83 83 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (69 69 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (69 69 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (69 69 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (69 69 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (69 69 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
 (66 66 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (66 66 (:REWRITE NORMALIZE-ADDENDS))
 (64 64 (:REWRITE REDUCE-RATIONALP-+))
 (64 64 (:REWRITE REDUCE-RATIONALP-*))
 (64 64 (:REWRITE RATIONALP-MINUS-X))
 (64 64 (:META META-RATIONALP-CORRECT))
 (60 60 (:TYPE-PRESCRIPTION MOD-ZERO . 4))
 (60 60 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
 (60 60 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (60 60 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (60 60 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (60 60 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
 (56 56 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (56 56 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (56 56 (:REWRITE |(< (/ x) 0)|))
 (56 56 (:REWRITE |(< (* x y) 0)|))
 (52 26 (:REWRITE DEFAULT-FLOOR-1))
 (35 29 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (35 29 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (35 29 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (32 32 (:REWRITE |(< 0 (* x y))|))
 (30 30 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (30 30 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (30 30 (:REWRITE |(< 0 (/ x))|))
 (29 29 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (29 29 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (29 29 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (29 29 (:REWRITE |(equal c (/ x))|))
 (29 29 (:REWRITE |(equal c (- x))|))
 (29 29 (:REWRITE |(equal (/ x) c)|))
 (29 29 (:REWRITE |(equal (/ x) (/ y))|))
 (29 29 (:REWRITE |(equal (- x) c)|))
 (29 29 (:REWRITE |(equal (- x) (- y))|))
 (26 26 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (26 26 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (26 26 (:REWRITE DEFAULT-MOD-2))
 (26 26 (:REWRITE DEFAULT-MOD-1))
 (26 26 (:REWRITE DEFAULT-LOGAND-1))
 (26 26 (:REWRITE DEFAULT-FLOOR-2))
 (26 26 (:REWRITE |(mod x (- y))| . 3))
 (26 26 (:REWRITE |(mod x (- y))| . 2))
 (26 26 (:REWRITE |(mod x (- y))| . 1))
 (26 26 (:REWRITE |(mod x (* y (/ z))) rewriting-goal-literal|))
 (26 26 (:REWRITE |(mod x (* y (/ z))) not rewriting-goal-literal|))
 (26 26 (:REWRITE |(mod (- x) y)| . 3))
 (26 26 (:REWRITE |(mod (- x) y)| . 2))
 (26 26 (:REWRITE |(mod (- x) y)| . 1))
 (26 26 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
 (22 22 (:REWRITE ZP-OPEN))
 (20 20 (:REWRITE DEFAULT-EXPT-1))
 (20 20 (:REWRITE |(expt 1/c n)|))
 (20 20 (:REWRITE |(expt (- x) n)|))
 (16 4 (:REWRITE |(+ c (+ d x))|))
 (12 4 (:REWRITE SMAN::!I-I))
 (10 10 (:LINEAR EXPT-IS-WEAKLY-INCREASING-FOR-BASE->-1))
 (10 10 (:LINEAR EXPT-IS-WEAKLY-DECREASING-FOR-POS-BASE-<-1))
 (10 10 (:LINEAR EXPT-IS-INCREASING-FOR-BASE->-1))
 (10 10 (:LINEAR EXPT-IS-DECREASING-FOR-POS-BASE-<-1))
 (5 5 (:LINEAR EXPT-LINEAR-UPPER-<=))
 (5 5 (:LINEAR EXPT-LINEAR-UPPER-<))
 (5 5 (:LINEAR EXPT-LINEAR-LOWER-<=))
 (5 5 (:LINEAR EXPT-LINEAR-LOWER-<))
 (5 5 (:LINEAR EXPT->=-1-TWO))
 (5 5 (:LINEAR EXPT->-1-TWO))
 (5 5 (:LINEAR EXPT-<=-1-ONE))
 (5 5 (:LINEAR EXPT-<-1-ONE))
 (4 4 (:REWRITE |(< x (+ c/d y))|))
 )
(SMAN::R-!S
 (1634 126 (:REWRITE DEFAULT-PLUS-1))
 (1378 26 (:REWRITE CANCEL-MOD-+))
 (1014 26 (:REWRITE MOD-X-Y-=-X . 4))
 (1014 26 (:REWRITE MOD-X-Y-=-X . 3))
 (988 26 (:REWRITE MOD-X-Y-=-X+Y . 2))
 (910 26 (:REWRITE MOD-X-Y-=-X-Y . 2))
 (814 216 (:REWRITE INTEGERP-MINUS-X))
 (644 146 (:REWRITE DEFAULT-PLUS-2))
 (630 630 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B))
 (630 630 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (630 630 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (630 630 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (624 26 (:REWRITE MOD-ZERO . 4))
 (588 294 (:TYPE-PRESCRIPTION SMAN::NATP-MI))
 (576 64 (:REWRITE ACL2-NUMBERP-X))
 (572 26 (:REWRITE MOD-ZERO . 3))
 (494 140 (:REWRITE DEFAULT-LESS-THAN-2))
 (458 458 (:TYPE-PRESCRIPTION SMAN::STP))
 (442 52 (:REWRITE |(* (- x) y)|))
 (390 338 (:REWRITE DEFAULT-TIMES-2))
 (390 338 (:REWRITE DEFAULT-TIMES-1))
 (318 132 (:REWRITE DEFAULT-LESS-THAN-1))
 (312 156 (:LINEAR SMAN::BYTEP-MI))
 (300 60 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
 (300 60 (:TYPE-PRESCRIPTION MOD-ZERO . 1))
 (300 60 (:TYPE-PRESCRIPTION MOD-POSITIVE . 2))
 (300 60 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (286 26 (:REWRITE DEFAULT-MOD-RATIO))
 (260 52 (:REWRITE DEFAULT-MINUS))
 (260 26 (:REWRITE DEFAULT-FLOOR-RATIO))
 (256 64 (:REWRITE RATIONALP-X))
 (249 128 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (234 234 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (234 234 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (234 234 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (234 234 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (234 52 (:REWRITE |(- (* c x))|))
 (190 190 (:REWRITE REDUCE-INTEGERP-+))
 (190 190 (:META META-INTEGERP-CORRECT))
 (186 5 (:LINEAR EXPT-X->=-X))
 (186 5 (:LINEAR EXPT-X->-X))
 (182 182 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (148 5 (:LINEAR EXPT->=-1-ONE))
 (148 5 (:LINEAR EXPT-<=-1-TWO))
 (140 140 (:REWRITE THE-FLOOR-BELOW))
 (140 140 (:REWRITE THE-FLOOR-ABOVE))
 (130 26 (:REWRITE MOD-X-Y-=-X-Y . 3))
 (130 26 (:REWRITE MOD-X-Y-=-X+Y . 3))
 (130 26 (:REWRITE MOD-X-Y-=-X . 2))
 (130 26 (:REWRITE MOD-CANCEL-*-REWRITING-GOAL-LITERAL))
 (130 26 (:REWRITE MOD-CANCEL-*-CONST))
 (130 26 (:REWRITE |(mod (+ x (mod a b)) y)|))
 (130 26 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
 (130 26 (:REWRITE |(mod (* x (/ y)) z) rewriting-goal-literal|))
 (128 128 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (128 128 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (124 124 (:REWRITE SIMPLIFY-SUMS-<))
 (124 124 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (124 124 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (124 124 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (124 124 (:REWRITE INTEGERP-<-CONSTANT))
 (124 124 (:REWRITE CONSTANT-<-INTEGERP))
 (124 124 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (124 124 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (124 124 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (124 124 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (124 124 (:REWRITE |(< c (- x))|))
 (124 124 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (124 124 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (124 124 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (124 124 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (124 124 (:REWRITE |(< (/ x) (/ y))|))
 (124 124 (:REWRITE |(< (- x) c)|))
 (124 124 (:REWRITE |(< (- x) (- y))|))
 (107 5 (:LINEAR EXPT-<-1-TWO))
 (83 83 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (69 69 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (69 69 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (69 69 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (69 69 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (69 69 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
 (66 66 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (66 66 (:REWRITE NORMALIZE-ADDENDS))
 (64 64 (:REWRITE REDUCE-RATIONALP-+))
 (64 64 (:REWRITE REDUCE-RATIONALP-*))
 (64 64 (:REWRITE RATIONALP-MINUS-X))
 (64 64 (:META META-RATIONALP-CORRECT))
 (60 60 (:TYPE-PRESCRIPTION MOD-ZERO . 4))
 (60 60 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
 (60 60 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (60 60 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (60 60 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (60 60 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
 (56 56 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (56 56 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (56 56 (:REWRITE |(< (/ x) 0)|))
 (56 56 (:REWRITE |(< (* x y) 0)|))
 (52 26 (:REWRITE DEFAULT-FLOOR-1))
 (35 29 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (35 29 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (35 29 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (32 32 (:REWRITE |(< 0 (* x y))|))
 (30 30 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (30 30 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (30 30 (:REWRITE |(< 0 (/ x))|))
 (29 29 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (29 29 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (29 29 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (29 29 (:REWRITE |(equal c (/ x))|))
 (29 29 (:REWRITE |(equal c (- x))|))
 (29 29 (:REWRITE |(equal (/ x) c)|))
 (29 29 (:REWRITE |(equal (/ x) (/ y))|))
 (29 29 (:REWRITE |(equal (- x) c)|))
 (29 29 (:REWRITE |(equal (- x) (- y))|))
 (26 26 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (26 26 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (26 26 (:REWRITE DEFAULT-MOD-2))
 (26 26 (:REWRITE DEFAULT-MOD-1))
 (26 26 (:REWRITE DEFAULT-LOGAND-1))
 (26 26 (:REWRITE DEFAULT-FLOOR-2))
 (26 26 (:REWRITE |(mod x (- y))| . 3))
 (26 26 (:REWRITE |(mod x (- y))| . 2))
 (26 26 (:REWRITE |(mod x (- y))| . 1))
 (26 26 (:REWRITE |(mod x (* y (/ z))) rewriting-goal-literal|))
 (26 26 (:REWRITE |(mod x (* y (/ z))) not rewriting-goal-literal|))
 (26 26 (:REWRITE |(mod (- x) y)| . 3))
 (26 26 (:REWRITE |(mod (- x) y)| . 2))
 (26 26 (:REWRITE |(mod (- x) y)| . 1))
 (26 26 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
 (22 22 (:REWRITE ZP-OPEN))
 (20 20 (:REWRITE DEFAULT-EXPT-1))
 (20 20 (:REWRITE |(expt 1/c n)|))
 (20 20 (:REWRITE |(expt (- x) n)|))
 (16 4 (:REWRITE |(+ c (+ d x))|))
 (12 4 (:REWRITE SMAN::!S-S))
 (10 10 (:LINEAR EXPT-IS-WEAKLY-INCREASING-FOR-BASE->-1))
 (10 10 (:LINEAR EXPT-IS-WEAKLY-DECREASING-FOR-POS-BASE-<-1))
 (10 10 (:LINEAR EXPT-IS-INCREASING-FOR-BASE->-1))
 (10 10 (:LINEAR EXPT-IS-DECREASING-FOR-POS-BASE-<-1))
 (5 5 (:LINEAR EXPT-LINEAR-UPPER-<=))
 (5 5 (:LINEAR EXPT-LINEAR-UPPER-<))
 (5 5 (:LINEAR EXPT-LINEAR-LOWER-<=))
 (5 5 (:LINEAR EXPT-LINEAR-LOWER-<))
 (5 5 (:LINEAR EXPT->=-1-TWO))
 (5 5 (:LINEAR EXPT->-1-TWO))
 (5 5 (:LINEAR EXPT-<=-1-ONE))
 (5 5 (:LINEAR EXPT-<-1-ONE))
 (4 4 (:REWRITE |(< x (+ c/d y))|))
 )
(SMAN::UNNECESSARY-MOD
 (190 190 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B))
 (190 190 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (190 190 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (190 190 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (175 5 (:REWRITE MOD-X-Y-=-X . 4))
 (165 33 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
 (165 33 (:TYPE-PRESCRIPTION MOD-ZERO . 1))
 (149 33 (:TYPE-PRESCRIPTION MOD-POSITIVE . 2))
 (149 33 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (91 5 (:REWRITE MOD-ZERO . 3))
 (90 5 (:REWRITE MOD-ZERO . 4))
 (50 5 (:REWRITE DEFAULT-MOD-RATIO))
 (35 2 (:LINEAR MOD-BOUNDS-3))
 (33 33 (:TYPE-PRESCRIPTION MOD-ZERO . 4))
 (33 33 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
 (33 33 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (33 33 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (33 33 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (33 33 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
 (25 5 (:REWRITE MOD-X-Y-=-X-Y . 3))
 (25 5 (:REWRITE MOD-X-Y-=-X-Y . 2))
 (25 5 (:REWRITE MOD-X-Y-=-X+Y . 3))
 (25 5 (:REWRITE MOD-X-Y-=-X+Y . 2))
 (20 4 (:LINEAR MOD-BOUNDS-2))
 (12 12 (:REWRITE NORMALIZE-TERMS-SUCH-AS-1/AX+BX))
 (12 12 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (12 12 (:REWRITE DEFAULT-TIMES-2))
 (12 12 (:REWRITE DEFAULT-TIMES-1))
 (12 12 (:REWRITE DEFAULT-DIVIDE))
 (8 8 (:REWRITE THE-FLOOR-BELOW))
 (8 8 (:REWRITE THE-FLOOR-ABOVE))
 (8 8 (:REWRITE SIMPLIFY-SUMS-<))
 (8 8 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (8 8 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (8 8 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (8 8 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (8 8 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (8 8 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (8 8 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (8 8 (:REWRITE INTEGERP-<-CONSTANT))
 (8 8 (:REWRITE DEFAULT-LESS-THAN-2))
 (8 8 (:REWRITE DEFAULT-LESS-THAN-1))
 (8 8 (:REWRITE CONSTANT-<-INTEGERP))
 (8 8 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (8 8 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (8 8 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (8 8 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (8 8 (:REWRITE |(< c (- x))|))
 (8 8 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (8 8 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (8 8 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (8 8 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (8 8 (:REWRITE |(< (/ x) (/ y))|))
 (8 8 (:REWRITE |(< (- x) c)|))
 (8 8 (:REWRITE |(< (- x) (- y))|))
 (6 6 (:REWRITE REDUCE-INTEGERP-+))
 (6 6 (:REWRITE INTEGERP-MINUS-X))
 (6 6 (:META META-INTEGERP-CORRECT))
 (5 5 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (5 5 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (5 5 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (5 5 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (5 5 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (5 5 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (5 5 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (5 5 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (5 5 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (5 5 (:REWRITE DEFAULT-MOD-2))
 (5 5 (:REWRITE DEFAULT-MOD-1))
 (5 5 (:REWRITE |(equal c (/ x))|))
 (5 5 (:REWRITE |(equal c (- x))|))
 (5 5 (:REWRITE |(equal (/ x) c)|))
 (5 5 (:REWRITE |(equal (/ x) (/ y))|))
 (5 5 (:REWRITE |(equal (- x) c)|))
 (5 5 (:REWRITE |(equal (- x) (- y))|))
 (5 5 (:REWRITE |(< 0 (/ x))|))
 (5 5 (:REWRITE |(< 0 (* x y))|))
 (2 2 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (2 2 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (2 2 (:REWRITE |(< (/ x) 0)|))
 (2 2 (:REWRITE |(< (* x y) 0)|))
 )
(SMAN::UNNECESSARY-FLOOR
 (10 10 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B))
 (10 10 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (10 10 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (10 10 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (9 1 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
 (9 1 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
 (5 1 (:TYPE-PRESCRIPTION FLOOR-ZERO . 4))
 (5 1 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 3))
 (5 1 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 2))
 (5 1 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 3))
 (5 1 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
 )
(SMAN::MI-!R+
 (45006 108 (:LINEAR LINEAR-FLOOR-BOUNDS-1))
 (36658 2 (:REWRITE |(logand (if a b c) x)|))
 (34084 25444 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B))
 (32028 2 (:REWRITE |(floor (if a b c) x)|))
 (30930 412 (:REWRITE THE-FLOOR-ABOVE))
 (25444 25444 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (25444 25444 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (25444 25444 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (18414 124 (:REWRITE |(+ y x)|))
 (16782 134 (:REWRITE SMAN::UNNECESSARY-FLOOR))
 (12318 2016 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (11784 132 (:REWRITE CANCEL-FLOOR-+))
 (11422 330 (:REWRITE DEFAULT-PLUS-1))
 (11388 330 (:REWRITE DEFAULT-PLUS-2))
 (10694 18 (:REWRITE SMAN::UNNECESSARY-MOD))
 (10632 126 (:REWRITE NORMALIZE-ADDENDS))
 (10454 132 (:REWRITE FLOOR-ZERO . 3))
 (10108 18 (:REWRITE MOD-ZERO . 4))
 (9880 132 (:REWRITE FLOOR-ZERO . 4))
 (9860 132 (:REWRITE FLOOR-X-Y-=-1 . 2))
 (9842 132 (:REWRITE FLOOR-X-Y-=--1 . 2))
 (9774 1086 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (9774 1086 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
 (9774 1086 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 1))
 (9774 1086 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 1))
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 (8756 18 (:REWRITE MOD-X-Y-=-X+Y . 2))
 (8714 18 (:REWRITE MOD-X-Y-=-X-Y . 2))
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 (6206 18 (:REWRITE CANCEL-MOD-+))
 (5820 4 (:REWRITE |(mod (floor x y) z)| . 1))
 (5770 304 (:REWRITE |(* (- x) y)|))
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 (5430 1086 (:TYPE-PRESCRIPTION FLOOR-ZERO . 1))
 (5430 1086 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 3))
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 (5430 1086 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
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 (3484 134 (:REWRITE DEFAULT-FLOOR-RATIO))
 (3468 34 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (3390 304 (:REWRITE |(- (* c x))|))
 (3342 132 (:REWRITE FLOOR-=-X/Y . 3))
 (2416 18 (:REWRITE MOD-ZERO . 3))
 (2060 412 (:REWRITE THE-FLOOR-BELOW))
 (2016 2016 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (2016 2016 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (2016 2016 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (1816 356 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (1410 18 (:REWRITE DEFAULT-MOD-RATIO))
 (1272 378 (:REWRITE DEFAULT-LESS-THAN-1))
 (1186 378 (:REWRITE DEFAULT-LESS-THAN-2))
 (1086 1086 (:TYPE-PRESCRIPTION FLOOR))
 (1064 132 (:REWRITE FLOOR-ZERO . 2))
 (1064 132 (:REWRITE FLOOR-X-Y-=-1 . 3))
 (1064 132 (:REWRITE FLOOR-X-Y-=--1 . 3))
 (1048 132 (:REWRITE FLOOR-CANCEL-*-CONST))
 (1012 1012 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (976 4 (:REWRITE |(floor (floor x y) z)| . 1))
 (898 18 (:REWRITE MOD-X-Y-=-X . 2))
 (898 18 (:REWRITE |(mod (+ x (mod a b)) y)|))
 (898 18 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
 (846 370 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (740 134 (:REWRITE DEFAULT-FLOOR-1))
 (735 39 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (656 54 (:LINEAR LINEAR-FLOOR-BOUNDS-3))
 (632 132 (:REWRITE FLOOR-CANCEL-*-REWRITING-GOAL-LITERAL))
 (564 132 (:REWRITE FLOOR-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (560 128 (:REWRITE |(floor (* x (/ y)) z) not rewriting-goal-literal|))
 (535 39 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (494 18 (:REWRITE MOD-X-Y-=-X-Y . 3))
 (494 18 (:REWRITE MOD-X-Y-=-X+Y . 3))
 (494 18 (:REWRITE MOD-CANCEL-*-REWRITING-GOAL-LITERAL))
 (494 18 (:REWRITE MOD-CANCEL-*-CONST))
 (444 40 (:REWRITE DEFAULT-LOGAND-2))
 (440 54 (:LINEAR LINEAR-FLOOR-BOUNDS-2))
 (426 360 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (422 18 (:REWRITE DEFAULT-MOD-1))
 (418 2 (:REWRITE |(* (if a b c) x)|))
 (360 360 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (360 360 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (360 360 (:REWRITE INTEGERP-<-CONSTANT))
 (360 360 (:REWRITE CONSTANT-<-INTEGERP))
 (360 360 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (360 360 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (360 360 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (360 360 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (360 360 (:REWRITE |(< c (- x))|))
 (360 360 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (360 360 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (360 360 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (360 360 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (360 360 (:REWRITE |(< (/ x) (/ y))|))
 (360 360 (:REWRITE |(< (- x) c)|))
 (360 360 (:REWRITE |(< (- x) (- y))|))
 (356 356 (:REWRITE SIMPLIFY-SUMS-<))
 (309 309 (:REWRITE REDUCE-INTEGERP-+))
 (309 309 (:META META-INTEGERP-CORRECT))
 (256 24 (:REWRITE ACL2-NUMBERP-X))
 (235 235 (:REWRITE |(< (* x y) 0)|))
 (225 225 (:REWRITE |(< (/ x) 0)|))
 (223 223 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (223 223 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (213 15 (:REWRITE ZP-OPEN))
 (208 128 (:REWRITE |(floor (* x (/ y)) z) rewriting-goal-literal|))
 (170 34 (:REWRITE |(+ 0 x)|))
 (142 142 (:TYPE-PRESCRIPTION ABS))
 (137 1 (:REWRITE MOD-X-Y-=-X-Y . 1))
 (135 27 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
 (135 27 (:TYPE-PRESCRIPTION MOD-ZERO . 1))
 (135 27 (:TYPE-PRESCRIPTION MOD-POSITIVE . 2))
 (135 27 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (134 134 (:REWRITE DEFAULT-FLOOR-2))
 (128 128 (:REWRITE |(floor x (- y))| . 2))
 (128 128 (:REWRITE |(floor x (- y))| . 1))
 (128 128 (:REWRITE |(floor x (* y (/ z))) rewriting-goal-literal|))
 (128 128 (:REWRITE |(floor x (* y (/ z))) not rewriting-goal-literal|))
 (128 128 (:REWRITE |(floor (- x) y)| . 2))
 (128 128 (:REWRITE |(floor (- x) y)| . 1))
 (118 39 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (116 8 (:REWRITE RATIONALP-X))
 (114 30 (:REWRITE SMAN::!MI-MI))
 (92 92 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (72 8 (:REWRITE FLOOR-POSITIVE . 2))
 (72 8 (:REWRITE FLOOR-NONPOSITIVE . 1))
 (70 14 (:REWRITE |(mod (* x (/ y)) z) rewriting-goal-literal|))
 (69 69 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (69 69 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (69 69 (:REWRITE |(< 0 (/ x))|))
 (69 69 (:REWRITE |(< 0 (* x y))|))
 (68 68 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
 (68 34 (:REWRITE BUBBLE-DOWN-+-MATCH-1))
 (60 12 (:REWRITE |(+ c (+ d x))|))
 (60 2 (:REWRITE |(<= (/ x) y) with (< 0 x)|))
 (60 2 (:REWRITE |(< x (/ y)) with (< 0 y)|))
 (54 6 (:LINEAR SMAN::BYTEP-MI))
 (53 1 (:REWRITE MOD-X-Y-=-X+Y . 1))
 (48 6 (:REWRITE SMAN::!MI-!MI-DIFF))
 (47 2 (:REWRITE |(equal (+ (- c) x) y)|))
 (42 18 (:REWRITE SMAN::STP-!MI))
 (41 41 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (41 41 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (41 41 (:REWRITE |(equal c (/ x))|))
 (41 41 (:REWRITE |(equal (/ x) (/ y))|))
 (41 41 (:REWRITE |(equal (- x) (- y))|))
 (40 8 (:REWRITE FLOOR-POSITIVE . 4))
 (40 8 (:REWRITE FLOOR-POSITIVE . 3))
 (40 8 (:REWRITE FLOOR-NONPOSITIVE . 3))
 (40 8 (:REWRITE FLOOR-NONPOSITIVE . 2))
 (39 39 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (39 39 (:REWRITE |(equal c (- x))|))
 (39 39 (:REWRITE |(equal (- x) c)|))
 (36 6 (:REWRITE SMAN::STP-!R))
 (34 34 (:REWRITE |(+ x (- x))|))
 (27 27 (:TYPE-PRESCRIPTION MOD-ZERO . 4))
 (27 27 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
 (27 27 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (27 27 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (27 27 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (27 27 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
 (27 27 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (20 4 (:REWRITE FLOOR-=-X/Y . 4))
 (20 4 (:REWRITE |(equal (floor (+ x y) z) x)|))
 (18 18 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (18 18 (:REWRITE DEFAULT-MOD-2))
 (14 14 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-ODD-EXPONENT))
 (14 14 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (14 14 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (14 14 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (14 14 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (14 14 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
 (14 14 (:REWRITE |(mod x (- y))| . 3))
 (14 14 (:REWRITE |(mod x (- y))| . 2))
 (14 14 (:REWRITE |(mod x (- y))| . 1))
 (14 14 (:REWRITE |(mod x (* y (/ z))) rewriting-goal-literal|))
 (14 14 (:REWRITE |(mod x (* y (/ z))) not rewriting-goal-literal|))
 (14 14 (:REWRITE |(mod (- x) y)| . 3))
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 (14 14 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
 (10 10 (:REWRITE |(* a (/ a) b)|))
 (8 8 (:REWRITE REDUCE-RATIONALP-+))
 (8 8 (:REWRITE REDUCE-RATIONALP-*))
 (8 8 (:REWRITE RATIONALP-MINUS-X))
 (8 8 (:REWRITE FLOOR-POSITIVE . 1))
 (8 8 (:META META-RATIONALP-CORRECT))
 (6 6 (:REWRITE |(< y (+ (- c) x))|))
 (6 6 (:REWRITE |(< x (+ c/d y))|))
 (4 4 (:REWRITE FLOOR-ZERO . 1))
 (4 4 (:REWRITE |(mod (floor x y) z)| . 5))
 (4 4 (:REWRITE |(mod (floor x y) z)| . 4))
 (4 4 (:REWRITE |(mod (floor x y) z)| . 3))
 (4 4 (:REWRITE |(mod (floor x y) z)| . 2))
 (4 4 (:REWRITE |(floor (floor x y) z)| . 5))
 (4 4 (:REWRITE |(floor (floor x y) z)| . 4))
 (4 4 (:REWRITE |(floor (floor x y) z)| . 3))
 (4 4 (:REWRITE |(floor (floor x y) z)| . 2))
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 (2 2 (:REWRITE |(not (equal x (/ y)))|))
 (2 2 (:REWRITE |(equal x (/ y))|))
 (2 2 (:REWRITE |(<= (/ x) y) with (< x 0)|))
 (2 2 (:REWRITE |(< x (/ y)) with (< y 0)|))
 (1 1 (:REWRITE |(equal (mod (+ x y) z) x)|))
 )
(SMAN::MI-!R-
 (22503 54 (:LINEAR LINEAR-FLOOR-BOUNDS-1))
 (18329 1 (:REWRITE |(logand (if a b c) x)|))
 (17163 12843 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B))
 (16014 1 (:REWRITE |(floor (if a b c) x)|))
 (15503 244 (:REWRITE THE-FLOOR-ABOVE))
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 (12843 12843 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (12843 12843 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
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 (6209 1058 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (5998 68 (:REWRITE CANCEL-FLOOR-+))
 (5744 194 (:REWRITE DEFAULT-PLUS-1))
 (5409 11 (:REWRITE SMAN::UNNECESSARY-MOD))
 (5355 68 (:REWRITE FLOOR-ZERO . 3))
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 (5010 68 (:REWRITE FLOOR-ZERO . 4))
 (4992 68 (:REWRITE FLOOR-X-Y-=-1 . 2))
 (4989 68 (:REWRITE FLOOR-X-Y-=--1 . 2))
 (4887 543 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
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 (4887 543 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 1))
 (4887 543 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
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 (4446 11 (:REWRITE MOD-X-Y-=-X+Y . 2))
 (4419 11 (:REWRITE MOD-X-Y-=-X-Y . 2))
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 (2910 2 (:REWRITE |(mod (floor x y) z)| . 1))
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 (2715 543 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 3))
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 (2715 543 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 3))
 (2715 543 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 2))
 (2715 543 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 3))
 (2715 543 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 2))
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 (2715 543 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
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 (1971 68 (:REWRITE FLOOR-=-X/Y . 2))
 (1794 160 (:REWRITE DEFAULT-MINUS))
 (1764 69 (:REWRITE DEFAULT-FLOOR-RATIO))
 (1738 21 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (1731 160 (:REWRITE |(- (* c x))|))
 (1715 68 (:REWRITE FLOOR-=-X/Y . 3))
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 (1068 244 (:REWRITE THE-FLOOR-BELOW))
 (1058 1058 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (1058 1058 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (1058 1058 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
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 (727 11 (:REWRITE DEFAULT-MOD-RATIO))
 (682 227 (:REWRITE DEFAULT-LESS-THAN-1))
 (631 227 (:REWRITE DEFAULT-LESS-THAN-2))
 (543 543 (:TYPE-PRESCRIPTION FLOOR))
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 (542 68 (:REWRITE FLOOR-X-Y-=--1 . 3))
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 (530 530 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (488 2 (:REWRITE |(floor (floor x y) z)| . 1))
 (465 225 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (463 23 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (459 11 (:REWRITE MOD-X-Y-=-X . 2))
 (459 11 (:REWRITE |(mod (+ x (mod a b)) y)|))
 (459 11 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
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 (328 27 (:LINEAR LINEAR-FLOOR-BOUNDS-3))
 (326 68 (:REWRITE FLOOR-CANCEL-*-REWRITING-GOAL-LITERAL))
 (301 23 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (284 68 (:REWRITE FLOOR-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (282 66 (:REWRITE |(floor (* x (/ y)) z) not rewriting-goal-literal|))
 (260 26 (:REWRITE ACL2-NUMBERP-X))
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 (255 220 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (234 218 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (228 26 (:REWRITE DEFAULT-LOGAND-2))
 (220 220 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (220 220 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (220 220 (:REWRITE INTEGERP-<-CONSTANT))
 (220 220 (:REWRITE CONSTANT-<-INTEGERP))
 (220 220 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
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 (220 220 (:REWRITE |(< (- x) c)|))
 (220 220 (:REWRITE |(< (- x) (- y))|))
 (220 27 (:LINEAR LINEAR-FLOOR-BOUNDS-2))
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 (209 1 (:REWRITE |(* (if a b c) x)|))
 (190 7 (:REWRITE SMAN::MI-!R+))
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 (145 29 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
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 (145 29 (:TYPE-PRESCRIPTION MOD-POSITIVE . 2))
 (145 29 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (139 139 (:REWRITE |(< (* x y) 0)|))
 (137 1 (:REWRITE MOD-X-Y-=-X-Y . 1))
 (134 134 (:REWRITE |(< (/ x) 0)|))
 (132 132 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (132 132 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (117 12 (:REWRITE RATIONALP-X))
 (114 66 (:REWRITE |(floor (* x (/ y)) z) rewriting-goal-literal|))
 (109 10 (:REWRITE ZP-OPEN))
 (86 23 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (75 75 (:TYPE-PRESCRIPTION ABS))
 (69 69 (:REWRITE DEFAULT-FLOOR-2))
 (66 66 (:REWRITE |(floor x (- y))| . 2))
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 (66 66 (:REWRITE |(floor x (* y (/ z))) rewriting-goal-literal|))
 (66 66 (:REWRITE |(floor x (* y (/ z))) not rewriting-goal-literal|))
 (66 66 (:REWRITE |(floor (- x) y)| . 2))
 (66 66 (:REWRITE |(floor (- x) y)| . 1))
 (63 17 (:REWRITE SMAN::!MI-MI))
 (60 60 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (53 1 (:REWRITE MOD-X-Y-=-X+Y . 1))
 (47 2 (:REWRITE |(equal (+ (- c) x) y)|))
 (45 9 (:REWRITE |(mod (* x (/ y)) z) rewriting-goal-literal|))
 (37 37 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (37 37 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (37 37 (:REWRITE |(< 0 (/ x))|))
 (37 37 (:REWRITE |(< 0 (* x y))|))
 (36 36 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
 (36 4 (:REWRITE FLOOR-POSITIVE . 2))
 (36 4 (:REWRITE FLOOR-NONPOSITIVE . 1))
 (32 8 (:REWRITE |(+ c (+ d x))|))
 (29 29 (:TYPE-PRESCRIPTION MOD-ZERO . 4))
 (29 29 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
 (29 29 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (29 29 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (29 29 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (29 29 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
 (27 3 (:LINEAR SMAN::BYTEP-MI))
 (24 3 (:REWRITE SMAN::!MI-!MI-DIFF))
 (23 23 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (23 23 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (23 23 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (23 23 (:REWRITE |(equal c (/ x))|))
 (23 23 (:REWRITE |(equal c (- x))|))
 (23 23 (:REWRITE |(equal (/ x) c)|))
 (23 23 (:REWRITE |(equal (/ x) (/ y))|))
 (23 23 (:REWRITE |(equal (- x) c)|))
 (23 23 (:REWRITE |(equal (- x) (- y))|))
 (21 9 (:REWRITE SMAN::STP-!MI))
 (20 4 (:REWRITE FLOOR-POSITIVE . 4))
 (20 4 (:REWRITE FLOOR-POSITIVE . 3))
 (20 4 (:REWRITE FLOOR-NONPOSITIVE . 3))
 (20 4 (:REWRITE FLOOR-NONPOSITIVE . 2))
 (18 3 (:REWRITE SMAN::STP-!R))
 (14 14 (:REWRITE |(< y (+ (- c) x))|))
 (14 14 (:REWRITE |(< x (+ c/d y))|))
 (12 12 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (12 12 (:REWRITE REDUCE-RATIONALP-+))
 (12 12 (:REWRITE REDUCE-RATIONALP-*))
 (12 12 (:REWRITE RATIONALP-MINUS-X))
 (12 12 (:META META-RATIONALP-CORRECT))
 (11 11 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (11 11 (:REWRITE DEFAULT-MOD-2))
 (10 2 (:REWRITE FLOOR-=-X/Y . 4))
 (10 2 (:REWRITE |(equal (floor (+ x y) z) x)|))
 (9 9 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-ODD-EXPONENT))
 (9 9 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (9 9 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (9 9 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (9 9 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (9 9 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
 (9 9 (:REWRITE |(mod x (- y))| . 3))
 (9 9 (:REWRITE |(mod x (- y))| . 2))
 (9 9 (:REWRITE |(mod x (- y))| . 1))
 (9 9 (:REWRITE |(mod x (* y (/ z))) rewriting-goal-literal|))
 (9 9 (:REWRITE |(mod x (* y (/ z))) not rewriting-goal-literal|))
 (9 9 (:REWRITE |(mod (- x) y)| . 3))
 (9 9 (:REWRITE |(mod (- x) y)| . 2))
 (9 9 (:REWRITE |(mod (- x) y)| . 1))
 (9 9 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
 (5 5 (:REWRITE |(* a (/ a) b)|))
 (4 4 (:REWRITE FLOOR-POSITIVE . 1))
 (2 2 (:REWRITE FLOOR-ZERO . 1))
 (2 2 (:REWRITE |(mod (floor x y) z)| . 5))
 (2 2 (:REWRITE |(mod (floor x y) z)| . 4))
 (2 2 (:REWRITE |(mod (floor x y) z)| . 3))
 (2 2 (:REWRITE |(mod (floor x y) z)| . 2))
 (2 2 (:REWRITE |(floor (floor x y) z)| . 5))
 (2 2 (:REWRITE |(floor (floor x y) z)| . 4))
 (2 2 (:REWRITE |(floor (floor x y) z)| . 3))
 (2 2 (:REWRITE |(floor (floor x y) z)| . 2))
 (1 1 (:REWRITE |(equal (mod (+ x y) z) x)|))
 )
(SMAN::R-1-!MI
 (130401 348 (:LINEAR MOD-BOUNDS-1))
 (118688 116 (:REWRITE MOD-X-Y-=-X-Y . 1))
 (63648 116 (:REWRITE MOD-X-Y-=-X+Y . 1))
 (57473 117 (:REWRITE |(equal (+ (- c) x) y)|))
 (19080 360 (:REWRITE CANCEL-MOD-+))
 (15186 15186 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B))
 (15186 15186 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (15186 15186 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (15186 15186 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (12910 360 (:REWRITE MOD-X-Y-=-X . 4))
 (12570 360 (:REWRITE MOD-X-Y-=-X . 3))
 (12567 360 (:REWRITE MOD-X-Y-=-X+Y . 2))
 (11910 360 (:REWRITE SMAN::UNNECESSARY-MOD))
 (11470 360 (:REWRITE MOD-X-Y-=-X-Y . 2))
 (11130 2226 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
 (11130 2226 (:TYPE-PRESCRIPTION MOD-ZERO . 1))
 (11130 2226 (:TYPE-PRESCRIPTION MOD-POSITIVE . 2))
 (11130 2226 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (9570 1290 (:REWRITE INTEGERP-MINUS-X))
 (7563 360 (:REWRITE MOD-ZERO . 3))
 (7443 360 (:REWRITE MOD-ZERO . 4))
 (6125 725 (:REWRITE |(* (- x) y)|))
 (5088 1270 (:REWRITE |(* y x)|))
 (4059 4059 (:TYPE-PRESCRIPTION SMAN::MP))
 (3990 1995 (:TYPE-PRESCRIPTION SMAN::NATP-NTH-MP))
 (3960 360 (:REWRITE DEFAULT-MOD-RATIO))
 (3828 174 (:LINEAR MOD-BOUNDS-3))
 (3642 1578 (:LINEAR SMAN::BYTEP-NTH-MP))
 (3633 3625 (:REWRITE DEFAULT-TIMES-2))
 (3633 3625 (:REWRITE DEFAULT-TIMES-1))
 (3625 3625 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (3625 3625 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (3625 3625 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (3625 3625 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (3625 725 (:REWRITE DEFAULT-MINUS))
 (3397 513 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (3397 513 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (3265 725 (:REWRITE |(- (* c x))|))
 (2977 513 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (2226 2226 (:TYPE-PRESCRIPTION MOD-ZERO . 4))
 (2226 2226 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
 (2226 2226 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (2226 2226 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (2226 2226 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (2226 2226 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
 (2168 616 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (1995 1995 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (1803 437 (:REWRITE DEFAULT-PLUS-2))
 (1800 360 (:REWRITE MOD-X-Y-=-X-Y . 3))
 (1800 360 (:REWRITE MOD-X-Y-=-X+Y . 3))
 (1800 360 (:REWRITE MOD-X-Y-=-X . 2))
 (1800 360 (:REWRITE |(mod (+ x (mod a b)) y)|))
 (1800 360 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
 (1752 360 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (1752 360 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
 (1740 348 (:LINEAR MOD-BOUNDS-2))
 (1739 1739 (:REWRITE THE-FLOOR-BELOW))
 (1739 1739 (:REWRITE THE-FLOOR-ABOVE))
 (1739 1739 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (1739 1739 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (1739 1739 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (1739 1739 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (1739 1739 (:REWRITE INTEGERP-<-CONSTANT))
 (1739 1739 (:REWRITE DEFAULT-LESS-THAN-2))
 (1739 1739 (:REWRITE DEFAULT-LESS-THAN-1))
 (1739 1739 (:REWRITE CONSTANT-<-INTEGERP))
 (1739 1739 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (1739 1739 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (1739 1739 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (1739 1739 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (1739 1739 (:REWRITE |(< c (- x))|))
 (1739 1739 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (1739 1739 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (1739 1739 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (1739 1739 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (1739 1739 (:REWRITE |(< (/ x) (/ y))|))
 (1739 1739 (:REWRITE |(< (- x) c)|))
 (1739 1739 (:REWRITE |(< (- x) (- y))|))
 (1737 1737 (:REWRITE SIMPLIFY-SUMS-<))
 (1737 1737 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (1737 1737 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (1732 360 (:REWRITE MOD-CANCEL-*-CONST))
 (1284 437 (:REWRITE DEFAULT-PLUS-1))
 (930 930 (:REWRITE REDUCE-INTEGERP-+))
 (930 930 (:META META-INTEGERP-CORRECT))
 (916 916 (:REWRITE |(< (/ x) 0)|))
 (916 916 (:REWRITE |(< (* x y) 0)|))
 (914 914 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (914 914 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (616 616 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (513 513 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (513 513 (:REWRITE |(equal c (/ x))|))
 (513 513 (:REWRITE |(equal c (- x))|))
 (513 513 (:REWRITE |(equal (/ x) c)|))
 (513 513 (:REWRITE |(equal (/ x) (/ y))|))
 (513 513 (:REWRITE |(equal (- x) c)|))
 (513 513 (:REWRITE |(equal (- x) (- y))|))
 (408 360 (:REWRITE MOD-CANCEL-*-REWRITING-GOAL-LITERAL))
 (408 360 (:REWRITE |(mod (* x (/ y)) z) rewriting-goal-literal|))
 (390 15 (:REWRITE MOD-ZERO . 1))
 (363 363 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (360 360 (:REWRITE DEFAULT-MOD-2))
 (360 360 (:REWRITE DEFAULT-MOD-1))
 (360 360 (:REWRITE |(mod x (- y))| . 3))
 (360 360 (:REWRITE |(mod x (- y))| . 2))
 (360 360 (:REWRITE |(mod x (- y))| . 1))
 (360 360 (:REWRITE |(mod x (* y (/ z))) rewriting-goal-literal|))
 (360 360 (:REWRITE |(mod x (* y (/ z))) not rewriting-goal-literal|))
 (360 360 (:REWRITE |(mod (- x) y)| . 3))
 (360 360 (:REWRITE |(mod (- x) y)| . 2))
 (360 360 (:REWRITE |(mod (- x) y)| . 1))
 (352 32 (:REWRITE |(+ y (+ x z))|))
 (348 5 (:REWRITE |(equal (mod a n) (mod b n))|))
 (343 343 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (343 343 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (343 343 (:REWRITE |(< 0 (/ x))|))
 (343 343 (:REWRITE |(< 0 (* x y))|))
 (256 64 (:REWRITE |(+ c (+ d x))|))
 (165 165 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (165 165 (:REWRITE NORMALIZE-ADDENDS))
 (136 4 (:REWRITE ASH-TO-FLOOR))
 (116 116 (:REWRITE |(equal (mod (+ x y) z) x)|))
 (75 15 (:REWRITE MOD-ZERO . 2))
 (54 54 (:TYPE-PRESCRIPTION |(< (logand x y) 0)| . 3))
 (54 54 (:TYPE-PRESCRIPTION |(< (logand x y) 0)| . 2))
 (54 54 (:TYPE-PRESCRIPTION |(< (logand x y) 0)| . 1))
 (40 4 (:REWRITE FLOOR-=-X/Y . 3))
 (40 4 (:REWRITE DEFAULT-FLOOR-RATIO))
 (36 4 (:REWRITE SMAN::UNNECESSARY-FLOOR))
 (22 22 (:REWRITE DEFAULT-CDR))
 (16 8 (:LINEAR SMAN::R-BOUND))
 (14 14 (:REWRITE DEFAULT-LOGAND-1))
 (12 12 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-ODD-EXPONENT))
 (12 12 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (12 12 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (12 12 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (12 12 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (12 12 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
 (11 11 (:REWRITE DEFAULT-CAR))
 (8 4 (:REWRITE DEFAULT-FLOOR-1))
 (5 5 (:REWRITE INTEGERP-+-REDUCE-CONSTANT))
 (4 4 (:REWRITE DEFAULT-FLOOR-2))
 (4 1 (:REWRITE SMAN::!NTH-NTH))
 )
(SMAN::R-!R-SAME-LEMMA
 (2115 180 (:REWRITE DEFAULT-PLUS-2))
 (1035 146 (:REWRITE DEFAULT-TIMES-2))
 (996 8 (:DEFINITION NONNEGATIVE-INTEGER-QUOTIENT))
 (572 572 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (572 572 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (572 572 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (572 572 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (509 62 (:REWRITE DEFAULT-MINUS))
 (455 455 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (455 455 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (455 455 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (395 180 (:REWRITE DEFAULT-PLUS-1))
 (367 146 (:REWRITE DEFAULT-TIMES-1))
 (248 8 (:DEFINITION NFIX))
 (240 40 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
 (240 40 (:TYPE-PRESCRIPTION MOD-ZERO . 1))
 (235 235 (:TYPE-PRESCRIPTION INTEGERP-/-EXPT-2))
 (235 235 (:TYPE-PRESCRIPTION INTEGERP-/-EXPT-1))
 (220 40 (:TYPE-PRESCRIPTION MOD-POSITIVE . 2))
 (220 40 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (211 2 (:REWRITE MOD-X-Y-=-X-Y . 2))
 (211 2 (:REWRITE FLOOR-X-Y-=-1 . 2))
 (206 206 (:TYPE-PRESCRIPTION NUMERATOR-ZERO))
 (206 206 (:TYPE-PRESCRIPTION NUMERATOR-POSITIVE . 2))
 (206 206 (:TYPE-PRESCRIPTION NUMERATOR-POSITIVE . 1))
 (206 206 (:TYPE-PRESCRIPTION NUMERATOR-NEGATIVE . 2))
 (206 206 (:TYPE-PRESCRIPTION NUMERATOR-NEGATIVE . 1))
 (194 2 (:REWRITE FLOOR-ZERO . 3))
 (183 2 (:REWRITE CANCEL-MOD-+))
 (165 2 (:REWRITE CANCEL-FLOOR-+))
 (115 42 (:REWRITE DEFAULT-LESS-THAN-1))
 (100 10 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (100 10 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
 (100 10 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 1))
 (100 10 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 1))
 (100 10 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
 (96 38 (:REWRITE SIMPLIFY-SUMS-<))
 (96 38 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (96 38 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (93 2 (:REWRITE MOD-ZERO . 3))
 (90 9 (:REWRITE DEFAULT-DIVIDE))
 (89 13 (:REWRITE |(* (- x) y)|))
 (88 2 (:REWRITE FLOOR-X-Y-=--1 . 2))
 (86 2 (:REWRITE |(integerp (- x))|))
 (84 84 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B-EXPT))
 (84 84 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B-EXPT))
 (84 84 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B-EXPT))
 (84 84 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B-EXPT))
 (84 2 (:REWRITE FLOOR-=-X/Y . 3))
 (83 83 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (81 2 (:REWRITE FLOOR-ZERO . 5))
 (81 2 (:REWRITE FLOOR-ZERO . 4))
 (78 2 (:REWRITE FLOOR-=-X/Y . 2))
 (76 40 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
 (62 42 (:REWRITE |(< (- x) (- y))|))
 (62 2 (:REWRITE SMAN::UNNECESSARY-FLOOR))
 (60 42 (:REWRITE DEFAULT-LESS-THAN-2))
 (60 10 (:TYPE-PRESCRIPTION FLOOR-ZERO . 3))
 (60 10 (:TYPE-PRESCRIPTION FLOOR-ZERO . 1))
 (60 10 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 3))
 (60 10 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 2))
 (60 10 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 3))
 (60 10 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 2))
 (60 10 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 3))
 (60 10 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 2))
 (60 10 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 3))
 (60 10 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
 (49 2 (:REWRITE DEFAULT-MOD-RATIO))
 (49 2 (:REWRITE DEFAULT-FLOOR-RATIO))
 (48 8 (:DEFINITION IFIX))
 (46 4 (:REWRITE INTEGERP==>NUMERATOR-=-X))
 (46 4 (:REWRITE INTEGERP==>DENOMINATOR-=-1))
 (46 2 (:LINEAR EXPT->-1-ONE))
 (45 42 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (45 42 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (42 42 (:REWRITE THE-FLOOR-BELOW))
 (42 42 (:REWRITE THE-FLOOR-ABOVE))
 (42 42 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (42 42 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (42 42 (:REWRITE INTEGERP-<-CONSTANT))
 (42 42 (:REWRITE CONSTANT-<-INTEGERP))
 (42 42 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (42 42 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (42 42 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (42 42 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (42 42 (:REWRITE |(< c (- x))|))
 (42 42 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (42 42 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (42 42 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (42 42 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (42 42 (:REWRITE |(< (/ x) (/ y))|))
 (42 42 (:REWRITE |(< (- x) c)|))
 (41 15 (:REWRITE INTEGERP-MINUS-X))
 (40 40 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
 (40 40 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (40 40 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (40 40 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (39 39 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (39 2 (:REWRITE |(mod (+ x (mod a b)) y)|))
 (39 2 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
 (36 2 (:REWRITE MOD-X-Y-=-X . 4))
 (36 2 (:REWRITE MOD-X-Y-=-X . 3))
 (35 2 (:REWRITE MOD-X-Y-=-X+Y . 2))
 (32 32 (:REWRITE DEFAULT-EXPT-2))
 (32 32 (:REWRITE DEFAULT-EXPT-1))
 (32 32 (:REWRITE |(expt 1/c n)|))
 (32 32 (:REWRITE |(expt (- x) n)|))
 (32 2 (:REWRITE SMAN::UNNECESSARY-MOD))
 (30 4 (:REWRITE DEFAULT-RATIONAL-NUMERATOR))
 (30 4 (:REWRITE DEFAULT-RATIONAL-DENOMINATOR))
 (30 2 (:REWRITE MOD-X-Y-=-X-Y . 3))
 (30 2 (:REWRITE MOD-X-Y-=-X+Y . 3))
 (30 2 (:REWRITE MOD-X-Y-=-X . 2))
 (30 2 (:REWRITE FLOOR-ZERO . 2))
 (30 2 (:REWRITE FLOOR-X-Y-=-1 . 3))
 (30 2 (:REWRITE FLOOR-X-Y-=--1 . 3))
 (28 28 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (28 28 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (28 28 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (28 28 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (28 2 (:LINEAR EXPT->=-1-ONE))
 (27 27 (:REWRITE |(< (/ x) 0)|))
 (27 27 (:REWRITE |(< (* x y) 0)|))
 (23 23 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (23 23 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (21 2 (:REWRITE MOD-CANCEL-*-REWRITING-GOAL-LITERAL))
 (21 2 (:REWRITE MOD-CANCEL-*-CONST))
 (21 2 (:REWRITE FLOOR-CANCEL-*-REWRITING-GOAL-LITERAL))
 (21 2 (:REWRITE FLOOR-CANCEL-*-CONST))
 (21 2 (:REWRITE |(mod (* x (/ y)) z) rewriting-goal-literal|))
 (21 2 (:REWRITE |(floor (* x (/ y)) z) rewriting-goal-literal|))
 (20 14 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (19 19 (:REWRITE FOLD-CONSTS-IN-+))
 (19 2 (:REWRITE MOD-ZERO . 4))
 (17 2 (:REWRITE |(mod x (* y (/ z))) rewriting-goal-literal|))
 (17 2 (:REWRITE |(floor x (* y (/ z))) rewriting-goal-literal|))
 (13 13 (:REWRITE REDUCE-INTEGERP-+))
 (13 13 (:META META-INTEGERP-CORRECT))
 (11 2 (:REWRITE DEFAULT-MOD-2))
 (11 2 (:REWRITE DEFAULT-FLOOR-2))
 (6 6 (:TYPE-PRESCRIPTION ABS))
 (6 6 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
 (6 6 (:REWRITE |(* c (* d x))|))
 (4 4 (:TYPE-PRESCRIPTION RATIONALP-MOD))
 (4 4 (:LINEAR EXPT-IS-WEAKLY-INCREASING-FOR-BASE->-1))
 (4 4 (:LINEAR EXPT-IS-WEAKLY-DECREASING-FOR-POS-BASE-<-1))
 (4 4 (:LINEAR EXPT-IS-INCREASING-FOR-BASE->-1))
 (4 4 (:LINEAR EXPT-IS-DECREASING-FOR-POS-BASE-<-1))
 (3 3 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (3 3 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (3 3 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (3 3 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (3 3 (:REWRITE |(equal c (/ x))|))
 (3 3 (:REWRITE |(equal c (- x))|))
 (3 3 (:REWRITE |(equal (/ x) c)|))
 (3 3 (:REWRITE |(equal (/ x) (/ y))|))
 (3 3 (:REWRITE |(equal (- x) c)|))
 (3 3 (:REWRITE |(equal (- x) (- y))|))
 (3 3 (:REWRITE |(< 0 (/ x))|))
 (3 3 (:REWRITE |(< 0 (* x y))|))
 (2 2 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (2 2 (:REWRITE FLOOR-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (2 2 (:REWRITE DEFAULT-MOD-1))
 (2 2 (:REWRITE DEFAULT-FLOOR-1))
 (2 2 (:REWRITE |(mod x (- y))| . 3))
 (2 2 (:REWRITE |(mod x (- y))| . 2))
 (2 2 (:REWRITE |(mod x (- y))| . 1))
 (2 2 (:REWRITE |(mod x (* y (/ z))) not rewriting-goal-literal|))
 (2 2 (:REWRITE |(mod (- x) y)| . 3))
 (2 2 (:REWRITE |(mod (- x) y)| . 2))
 (2 2 (:REWRITE |(mod (- x) y)| . 1))
 (2 2 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
 (2 2 (:REWRITE |(floor x (- y))| . 2))
 (2 2 (:REWRITE |(floor x (- y))| . 1))
 (2 2 (:REWRITE |(floor x (* y (/ z))) not rewriting-goal-literal|))
 (2 2 (:REWRITE |(floor (- x) y)| . 2))
 (2 2 (:REWRITE |(floor (- x) y)| . 1))
 (2 2 (:REWRITE |(floor (* x (/ y)) z) not rewriting-goal-literal|))
 (2 2 (:LINEAR EXPT-X->=-X))
 (2 2 (:LINEAR EXPT-X->-X))
 (2 2 (:LINEAR EXPT-LINEAR-UPPER-<=))
 (2 2 (:LINEAR EXPT-LINEAR-UPPER-<))
 (2 2 (:LINEAR EXPT-LINEAR-LOWER-<=))
 (2 2 (:LINEAR EXPT-LINEAR-LOWER-<))
 (2 2 (:LINEAR EXPT->=-1-TWO))
 (2 2 (:LINEAR EXPT->-1-TWO))
 (2 2 (:LINEAR EXPT-<=-1-TWO))
 (2 2 (:LINEAR EXPT-<=-1-ONE))
 (2 2 (:LINEAR EXPT-<-1-TWO))
 (2 2 (:LINEAR EXPT-<-1-ONE))
 (1 1 (:REWRITE ZP-OPEN))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (1 1 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (1 1 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (1 1 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (1 1 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 )
(SMAN::R-!R-SAME
 (225251 558 (:LINEAR LINEAR-FLOOR-BOUNDS-1))
 (219948 12 (:REWRITE |(logand (if a b c) x)|))
 (192168 12 (:REWRITE |(floor (if a b c) x)|))
 (162051 4512 (:REWRITE THE-FLOOR-ABOVE))
 (142426 142426 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (142426 142426 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (142426 142426 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (96905 851 (:REWRITE SMAN::UNNECESSARY-FLOOR))
 (74429 5438 (:REWRITE DEFAULT-PLUS-1))
 (67221 5438 (:REWRITE DEFAULT-PLUS-2))
 (62496 741 (:REWRITE CANCEL-FLOOR-+))
 (59096 312 (:REWRITE MOD-ZERO . 4))
 (58714 741 (:REWRITE FLOOR-ZERO . 3))
 (57240 309 (:REWRITE MOD-X-Y-=-X . 3))
 (56183 14977 (:REWRITE DEFAULT-TIMES-2))
 (56120 312 (:REWRITE MOD-X-Y-=-X-Y . 2))
 (54516 312 (:REWRITE MOD-X-Y-=-X+Y . 2))
 (52900 5842 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (52852 5842 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
 (52852 5842 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 1))
 (52852 5842 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
 (52751 741 (:REWRITE FLOOR-X-Y-=-1 . 2))
 (52744 5830 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 1))
 (52415 741 (:REWRITE FLOOR-ZERO . 4))
 (51966 741 (:REWRITE FLOOR-X-Y-=--1 . 2))
 (50984 309 (:REWRITE MOD-X-Y-=-X . 4))
 (49795 309 (:REWRITE CANCEL-MOD-+))
 (46326 741 (:REWRITE FLOOR-ZERO . 5))
 (44415 14977 (:REWRITE DEFAULT-TIMES-1))
 (42541 2928 (:REWRITE INTEGERP-MINUS-X))
 (37945 2087 (:REWRITE |(* (- x) y)|))
 (34207 4 (:REWRITE |(mod (+ x y) z) where (<= 0 z)| . 1))
 (30085 4 (:REWRITE |(floor (+ x y) z) where (< 0 z)| . 1))
 (30065 5 (:REWRITE MOD-X-Y-=-X-Y . 1))
 (29362 5842 (:TYPE-PRESCRIPTION FLOOR-ZERO . 3))
 (29362 5842 (:TYPE-PRESCRIPTION FLOOR-ZERO . 1))
 (29362 5842 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 3))
 (29362 5842 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 2))
 (29362 5842 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 3))
 (29362 5842 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 2))
 (29362 5842 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 3))
 (29362 5842 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 2))
 (29362 5842 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 3))
 (29362 5842 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
 (22537 4080 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (21814 741 (:REWRITE FLOOR-=-X/Y . 2))
 (21589 851 (:REWRITE DEFAULT-FLOOR-RATIO))
 (20414 302 (:REWRITE MOD-CANCEL-*-REWRITING-GOAL-LITERAL))
 (20201 2198 (:REWRITE DEFAULT-MINUS))
 (19262 802 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (17374 168 (:REWRITE SMAN::MI-!R-))
 (14908 5 (:REWRITE MOD-X-Y-=-X+Y . 1))
 (14107 3975 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (14008 314 (:REWRITE DEFAULT-MOD-RATIO))
 (13839 734 (:REWRITE FLOOR-CANCEL-*-REWRITING-GOAL-LITERAL))
 (12958 4512 (:REWRITE THE-FLOOR-BELOW))
 (11731 4335 (:REWRITE DEFAULT-LESS-THAN-1))
 (11717 279 (:LINEAR LINEAR-FLOOR-BOUNDS-3))
 (10580 10580 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (10580 10580 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (10580 10580 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (10580 10580 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (10580 10580 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
 (10009 10009 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (10009 10009 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (10009 10009 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (9290 4335 (:REWRITE DEFAULT-LESS-THAN-2))
 (8476 741 (:REWRITE FLOOR-CANCEL-*-CONST))
 (7297 4316 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (7107 309 (:REWRITE |(mod (+ x (mod a b)) y)|))
 (7107 309 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
 (6891 309 (:REWRITE MOD-X-Y-=-X . 2))
 (6329 309 (:REWRITE MOD-CANCEL-*-CONST))
 (5947 741 (:REWRITE FLOOR-ZERO . 2))
 (5947 741 (:REWRITE FLOOR-X-Y-=-1 . 3))
 (5947 741 (:REWRITE FLOOR-X-Y-=--1 . 3))
 (5420 20 (:REWRITE |(floor (floor x y) z)| . 1))
 (5370 925 (:TYPE-PRESCRIPTION MOD-POSITIVE . 2))
 (5370 925 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (4863 925 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
 (4681 4248 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (4439 312 (:REWRITE MOD-X-Y-=-X-Y . 3))
 (4439 312 (:REWRITE MOD-X-Y-=-X+Y . 3))
 (4430 1206 (:REWRITE |(< 0 (/ x))|))
 (4389 439 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (4375 851 (:REWRITE DEFAULT-FLOOR-1))
 (4240 150 (:REWRITE |(* (/ c) (expt d n))|))
 (4232 4188 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (4225 4083 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (4188 4188 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (4188 4188 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (4188 4188 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (4188 4188 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (4188 4188 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (4188 4188 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (4188 4188 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (4188 4188 (:REWRITE |(< (/ x) (/ y))|))
 (4188 4188 (:REWRITE |(< (- x) (- y))|))
 (4111 4084 (:REWRITE |(< c (- x))|))
 (4083 4083 (:REWRITE INTEGERP-<-CONSTANT))
 (4083 4083 (:REWRITE CONSTANT-<-INTEGERP))
 (4083 4083 (:REWRITE |(< (- x) c)|))
 (3324 87 (:REWRITE |(integerp (- x))|))
 (3121 105 (:REWRITE |(<= (/ x) y) with (< 0 x)|))
 (3040 725 (:REWRITE FLOOR-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (3020 705 (:REWRITE |(floor (* x (/ y)) z) not rewriting-goal-literal|))
 (2882 314 (:REWRITE DEFAULT-MOD-1))
 (2756 50 (:REWRITE BUBBLE-DOWN-*-BUBBLE-DOWN))
 (2659 14 (:REWRITE |(* (if a b c) x)|))
 (2250 826 (:LINEAR SMAN::BYTEP-MI))
 (2224 558 (:REWRITE |(equal (/ x) c)|))
 (2137 279 (:LINEAR LINEAR-FLOOR-BOUNDS-2))
 (1996 907 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
 (1969 1969 (:REWRITE |(< (* x y) 0)|))
 (1956 1956 (:META META-INTEGERP-CORRECT))
 (1900 1900 (:REWRITE |(< (/ x) 0)|))
 (1897 1897 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (1897 1897 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (1773 1773 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (1450 264 (:REWRITE |(mod (* x (/ y)) z) rewriting-goal-literal|))
 (1406 432 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (1382 65 (:LINEAR EXPT-X->=-X))
 (1382 65 (:LINEAR EXPT-X->-X))
 (1324 705 (:REWRITE |(floor (* x (/ y)) z) rewriting-goal-literal|))
 (1237 787 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B-EXPT))
 (1217 1217 (:REWRITE |(< 0 (* x y))|))
 (1184 320 (:REWRITE DEFAULT-DIVIDE))
 (1102 1102 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (1102 1102 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (1058 65 (:LINEAR EXPT-<=-1-TWO))
 (941 941 (:TYPE-PRESCRIPTION ABS))
 (925 925 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
 (925 925 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (925 925 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (925 558 (:REWRITE |(equal (- x) (- y))|))
 (907 907 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (890 31 (:LINEAR MOD-BOUNDS-3))
 (878 851 (:REWRITE DEFAULT-FLOOR-2))
 (787 787 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B-EXPT))
 (775 23 (:REWRITE FLOOR-=-X/Y . 4))
 (735 705 (:REWRITE |(floor x (* y (/ z))) rewriting-goal-literal|))
 (720 705 (:REWRITE |(floor x (* y (/ z))) not rewriting-goal-literal|))
 (705 705 (:REWRITE |(floor x (- y))| . 2))
 (705 705 (:REWRITE |(floor x (- y))| . 1))
 (705 705 (:REWRITE |(floor (- x) y)| . 2))
 (705 705 (:REWRITE |(floor (- x) y)| . 1))
 (673 673 (:REWRITE DEFAULT-EXPT-2))
 (673 673 (:REWRITE DEFAULT-EXPT-1))
 (673 673 (:REWRITE |(expt 1/c n)|))
 (673 673 (:REWRITE |(expt (- x) n)|))
 (613 264 (:REWRITE |(mod x (* y (/ z))) rewriting-goal-literal|))
 (594 62 (:LINEAR MOD-BOUNDS-2))
 (579 159 (:REWRITE SMAN::!MI-MI))
 (565 558 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (561 561 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
 (558 558 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (558 558 (:REWRITE |(equal c (/ x))|))
 (558 558 (:REWRITE |(equal (/ x) (/ y))|))
 (548 314 (:REWRITE DEFAULT-MOD-2))
 (533 285 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (512 264 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
 (480 118 (:REWRITE SMAN::STP-!R))
 (439 439 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (439 439 (:REWRITE |(equal c (- x))|))
 (439 439 (:REWRITE |(equal (- x) c)|))
 (409 409 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (407 17 (:REWRITE |(mod x 1)|))
 (369 41 (:REWRITE FLOOR-POSITIVE . 2))
 (369 41 (:REWRITE FLOOR-NONPOSITIVE . 1))
 (344 4 (:REWRITE |(floor (+ x r) i)|))
 (303 303 (:REWRITE |(< x (+ c/d y))|))
 (288 106 (:REWRITE |(* c (* d x))|))
 (279 9 (:REWRITE |(floor x 1)|))
 (272 34 (:REWRITE SMAN::!MI-!MI-DIFF))
 (264 264 (:REWRITE |(mod x (- y))| . 3))
 (264 264 (:REWRITE |(mod x (- y))| . 2))
 (264 264 (:REWRITE |(mod x (- y))| . 1))
 (264 264 (:REWRITE |(mod x (* y (/ z))) not rewriting-goal-literal|))
 (264 264 (:REWRITE |(mod (- x) y)| . 3))
 (264 264 (:REWRITE |(mod (- x) y)| . 2))
 (264 264 (:REWRITE |(mod (- x) y)| . 1))
 (262 110 (:REWRITE SMAN::STP-!MI))
 (245 245 (:REWRITE |(< y (+ (- c) x))|))
 (223 223 (:REWRITE |(/ (/ x))|))
 (208 208 (:REWRITE |(* a (/ a))|))
 (205 41 (:REWRITE FLOOR-POSITIVE . 4))
 (205 41 (:REWRITE FLOOR-POSITIVE . 3))
 (205 41 (:REWRITE FLOOR-NONPOSITIVE . 3))
 (205 41 (:REWRITE FLOOR-NONPOSITIVE . 2))
 (196 196 (:TYPE-PRESCRIPTION ASH))
 (136 136 (:REWRITE |(< (+ c/d x) y)|))
 (130 130 (:LINEAR EXPT-IS-WEAKLY-DECREASING-FOR-POS-BASE-<-1))
 (130 130 (:LINEAR EXPT-IS-INCREASING-FOR-BASE->-1))
 (130 130 (:LINEAR EXPT-IS-DECREASING-FOR-POS-BASE-<-1))
 (119 119 (:REWRITE |(not (equal x (/ y)))|))
 (119 119 (:REWRITE |(equal x (/ y))|))
 (117 13 (:REWRITE |(* (/ x) (expt x n))|))
 (115 23 (:REWRITE |(equal (floor (+ x y) z) x)|))
 (105 105 (:REWRITE |(<= (/ x) y) with (< x 0)|))
 (105 105 (:REWRITE |(< x (/ y)) with (< y 0)|))
 (97 97 (:REWRITE FOLD-CONSTS-IN-+))
 (93 93 (:REWRITE |(< (+ (- c) x) y)|))
 (66 66 (:LINEAR EXPT-LINEAR-LOWER-<))
 (65 65 (:LINEAR EXPT-LINEAR-UPPER-<))
 (65 65 (:LINEAR EXPT->=-1-TWO))
 (65 65 (:LINEAR EXPT->-1-TWO))
 (65 65 (:LINEAR EXPT-<=-1-ONE))
 (65 65 (:LINEAR EXPT-<-1-TWO))
 (65 65 (:LINEAR EXPT-<-1-ONE))
 (50 50 (:REWRITE BUBBLE-DOWN-*-MATCH-3))
 (50 5 (:REWRITE |(equal (mod (+ x y) z) x)|))
 (41 41 (:REWRITE FLOOR-POSITIVE . 1))
 (33 33 (:REWRITE |(equal (* x y) 0)|))
 (28 1 (:REWRITE |(* x (expt x n))|))
 (24 4 (:REWRITE |(- (+ x y))|))
 (23 23 (:REWRITE |(equal (+ (- c) x) y)|))
 (21 21 (:REWRITE FLOOR-ZERO . 1))
 (21 21 (:REWRITE |(mod (floor x y) z)| . 5))
 (21 21 (:REWRITE |(mod (floor x y) z)| . 4))
 (21 21 (:REWRITE |(mod (floor x y) z)| . 3))
 (21 21 (:REWRITE |(mod (floor x y) z)| . 2))
 (20 20 (:REWRITE |(floor (floor x y) z)| . 5))
 (20 20 (:REWRITE |(floor (floor x y) z)| . 4))
 (20 20 (:REWRITE |(floor (floor x y) z)| . 3))
 (20 20 (:REWRITE |(floor (floor x y) z)| . 2))
 (13 13 (:REWRITE INTEGERP-+-REDUCE-CONSTANT))
 (10 10 (:TYPE-PRESCRIPTION RATIONALP-MOD))
 (8 8 (:REWRITE |(< (* (/ x) y) 1) with (< x 0)|))
 (8 8 (:REWRITE |(< (* (/ x) y) 1) with (< 0 x)|))
 (4 4 (:REWRITE |(mod (+ x y) z) where (<= 0 z)| . 3))
 (4 4 (:REWRITE |(mod (+ x y) z) where (<= 0 z)| . 2))
 (4 4 (:REWRITE |(floor (+ x y) z) where (< 0 z)| . 3))
 (4 4 (:REWRITE |(floor (+ x y) z) where (< 0 z)| . 2))
 (1 1 (:REWRITE NORMALIZE-TERMS-SUCH-AS-1/AX+BX))
 (1 1 (:REWRITE |(- (- x))|))
 )
(SMAN::R-!R-DIFF-BELOW
 (4464 6 (:DEFINITION SMAN::!R))
 (2302 213 (:REWRITE DEFAULT-PLUS-1))
 (2226 42 (:REWRITE CANCEL-MOD-+))
 (2106 54 (:REWRITE DEFAULT-LOGAND-1))
 (2010 6 (:REWRITE |(logand y x)|))
 (1660 20 (:REWRITE SMAN::MI-!R-))
 (1615 42 (:REWRITE MOD-X-Y-=-X . 4))
 (1615 42 (:REWRITE MOD-X-Y-=-X . 3))
 (1573 42 (:REWRITE MOD-X-Y-=-X+Y . 2))
 (1486 42 (:REWRITE SMAN::UNNECESSARY-MOD))
 (1447 42 (:REWRITE MOD-X-Y-=-X-Y . 2))
 (1437 333 (:REWRITE INTEGERP-MINUS-X))
 (1034 1034 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B))
 (1034 1034 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (1034 1034 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (1034 1034 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (973 42 (:REWRITE MOD-ZERO . 4))
 (924 42 (:REWRITE MOD-ZERO . 3))
 (900 42 (:REWRITE SMAN::UNNECESSARY-FLOOR))
 (892 440 (:TYPE-PRESCRIPTION SMAN::NATP-MI))
 (816 96 (:REWRITE |(* (- x) y)|))
 (742 742 (:TYPE-PRESCRIPTION SMAN::STP))
 (672 600 (:REWRITE DEFAULT-TIMES-2))
 (672 600 (:REWRITE DEFAULT-TIMES-1))
 (543 252 (:LINEAR SMAN::BYTEP-MI))
 (480 96 (:REWRITE DEFAULT-MINUS))
 (474 474 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (474 474 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (474 474 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (474 474 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (462 42 (:REWRITE DEFAULT-MOD-RATIO))
 (450 329 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (432 96 (:REWRITE |(- (* c x))|))
 (426 42 (:REWRITE DEFAULT-FLOOR-RATIO))
 (405 45 (:REWRITE ACL2-NUMBERP-X))
 (400 80 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
 (400 80 (:TYPE-PRESCRIPTION MOD-ZERO . 1))
 (400 80 (:TYPE-PRESCRIPTION MOD-POSITIVE . 2))
 (400 80 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (384 6 (:REWRITE FLOOR-ZERO . 3))
 (374 350 (:REWRITE DEFAULT-LESS-THAN-1))
 (350 350 (:REWRITE THE-FLOOR-BELOW))
 (350 350 (:REWRITE THE-FLOOR-ABOVE))
 (350 350 (:REWRITE DEFAULT-LESS-THAN-2))
 (349 325 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (335 329 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (335 329 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (325 325 (:REWRITE SIMPLIFY-SUMS-<))
 (325 325 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (325 325 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (325 325 (:REWRITE INTEGERP-<-CONSTANT))
 (325 325 (:REWRITE CONSTANT-<-INTEGERP))
 (325 325 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (325 325 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (325 325 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (325 325 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (325 325 (:REWRITE |(< c (- x))|))
 (325 325 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (325 325 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (325 325 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (325 325 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (325 325 (:REWRITE |(< (/ x) (/ y))|))
 (325 325 (:REWRITE |(< (- x) c)|))
 (325 325 (:REWRITE |(< (- x) (- y))|))
 (324 324 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (318 6 (:REWRITE CANCEL-FLOOR-+))
 (285 285 (:REWRITE REDUCE-INTEGERP-+))
 (285 285 (:META META-INTEGERP-CORRECT))
 (261 261 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (210 42 (:REWRITE MOD-X-Y-=-X-Y . 3))
 (210 42 (:REWRITE MOD-X-Y-=-X+Y . 3))
 (210 42 (:REWRITE MOD-X-Y-=-X . 2))
 (210 42 (:REWRITE MOD-CANCEL-*-REWRITING-GOAL-LITERAL))
 (210 42 (:REWRITE MOD-CANCEL-*-CONST))
 (210 42 (:REWRITE |(mod (+ x (mod a b)) y)|))
 (210 42 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
 (210 42 (:REWRITE |(mod (* x (/ y)) z) rewriting-goal-literal|))
 (210 6 (:REWRITE FLOOR-ZERO . 5))
 (210 6 (:REWRITE FLOOR-ZERO . 4))
 (204 6 (:REWRITE FLOOR-X-Y-=--1 . 2))
 (186 6 (:REWRITE FLOOR-X-Y-=-1 . 2))
 (180 45 (:REWRITE RATIONALP-X))
 (166 166 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (166 166 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (166 166 (:REWRITE |(< (/ x) 0)|))
 (166 166 (:REWRITE |(< (* x y) 0)|))
 (144 5 (:LINEAR EXPT-X->=-X))
 (144 5 (:LINEAR EXPT-X->-X))
 (133 133 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (133 133 (:REWRITE NORMALIZE-ADDENDS))
 (132 6 (:REWRITE FLOOR-=-X/Y . 2))
 (123 123 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (123 123 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (123 123 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (123 123 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (123 123 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
 (106 5 (:LINEAR EXPT-<=-1-TWO))
 (80 80 (:TYPE-PRESCRIPTION MOD-ZERO . 4))
 (80 80 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
 (80 80 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (80 80 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (80 80 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (80 80 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
 (78 42 (:REWRITE DEFAULT-FLOOR-1))
 (63 5 (:LINEAR EXPT-<-1-TWO))
 (54 54 (:REWRITE DEFAULT-EXPT-1))
 (54 54 (:REWRITE |(expt 1/c n)|))
 (54 54 (:REWRITE |(expt (- x) n)|))
 (54 54 (:REWRITE |(< 0 (* x y))|))
 (54 46 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (54 46 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (54 46 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (52 52 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (52 52 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (52 52 (:REWRITE |(< 0 (/ x))|))
 (46 46 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (46 46 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (46 46 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (46 46 (:REWRITE |(equal c (/ x))|))
 (46 46 (:REWRITE |(equal c (- x))|))
 (46 46 (:REWRITE |(equal (/ x) c)|))
 (46 46 (:REWRITE |(equal (/ x) (/ y))|))
 (46 46 (:REWRITE |(equal (- x) c)|))
 (46 46 (:REWRITE |(equal (- x) (- y))|))
 (45 45 (:REWRITE REDUCE-RATIONALP-+))
 (45 45 (:REWRITE REDUCE-RATIONALP-*))
 (45 45 (:REWRITE RATIONALP-MINUS-X))
 (45 45 (:META META-RATIONALP-CORRECT))
 (42 42 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (42 42 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (42 42 (:REWRITE DEFAULT-MOD-2))
 (42 42 (:REWRITE DEFAULT-MOD-1))
 (42 42 (:REWRITE DEFAULT-FLOOR-2))
 (42 42 (:REWRITE |(mod x (- y))| . 3))
 (42 42 (:REWRITE |(mod x (- y))| . 2))
 (42 42 (:REWRITE |(mod x (- y))| . 1))
 (42 42 (:REWRITE |(mod x (* y (/ z))) rewriting-goal-literal|))
 (42 42 (:REWRITE |(mod x (* y (/ z))) not rewriting-goal-literal|))
 (42 42 (:REWRITE |(mod (- x) y)| . 3))
 (42 42 (:REWRITE |(mod (- x) y)| . 2))
 (42 42 (:REWRITE |(mod (- x) y)| . 1))
 (42 42 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
 (38 38 (:REWRITE ZP-OPEN))
 (30 6 (:REWRITE FLOOR-ZERO . 2))
 (30 6 (:REWRITE FLOOR-X-Y-=-1 . 3))
 (30 6 (:REWRITE FLOOR-X-Y-=--1 . 3))
 (30 6 (:REWRITE FLOOR-CANCEL-*-REWRITING-GOAL-LITERAL))
 (30 6 (:REWRITE FLOOR-CANCEL-*-CONST))
 (30 6 (:REWRITE |(floor (* x (/ y)) z) rewriting-goal-literal|))
 (29 29 (:REWRITE |(< x (+ c/d y))|))
 (25 25 (:REWRITE |(< y (+ (- c) x))|))
 (18 6 (:REWRITE SMAN::!MI-MI))
 (16 4 (:REWRITE |(+ c (+ d x))|))
 (12 12 (:TYPE-PRESCRIPTION ABS))
 (12 12 (:TYPE-PRESCRIPTION SMAN::!R))
 (10 10 (:LINEAR EXPT-IS-WEAKLY-INCREASING-FOR-BASE->-1))
 (10 10 (:LINEAR EXPT-IS-WEAKLY-DECREASING-FOR-POS-BASE-<-1))
 (10 10 (:LINEAR EXPT-IS-INCREASING-FOR-BASE->-1))
 (10 10 (:LINEAR EXPT-IS-DECREASING-FOR-POS-BASE-<-1))
 (6 6 (:REWRITE FLOOR-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (6 6 (:REWRITE |(floor x (- y))| . 2))
 (6 6 (:REWRITE |(floor x (- y))| . 1))
 (6 6 (:REWRITE |(floor x (* y (/ z))) rewriting-goal-literal|))
 (6 6 (:REWRITE |(floor x (* y (/ z))) not rewriting-goal-literal|))
 (6 6 (:REWRITE |(floor (- x) y)| . 2))
 (6 6 (:REWRITE |(floor (- x) y)| . 1))
 (6 6 (:REWRITE |(floor (* x (/ y)) z) not rewriting-goal-literal|))
 (6 6 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
 (5 5 (:LINEAR EXPT-LINEAR-UPPER-<=))
 (5 5 (:LINEAR EXPT-LINEAR-UPPER-<))
 (5 5 (:LINEAR EXPT-LINEAR-LOWER-<=))
 (5 5 (:LINEAR EXPT-LINEAR-LOWER-<))
 (5 5 (:LINEAR EXPT->=-1-TWO))
 (5 5 (:LINEAR EXPT->-1-TWO))
 (5 5 (:LINEAR EXPT-<=-1-ONE))
 (5 5 (:LINEAR EXPT-<-1-ONE))
 (3 1 (:REWRITE SMAN::STP-!R))
 )
(SMAN::R-!R-DIFF-ABOVE
 (2430 226 (:REWRITE DEFAULT-PLUS-1))
 (2279 43 (:REWRITE CANCEL-MOD-+))
 (1825 25 (:REWRITE SMAN::R-!R-DIFF-BELOW))
 (1763 53 (:REWRITE DEFAULT-LOGAND-1))
 (1675 5 (:REWRITE |(logand y x)|))
 (1657 43 (:REWRITE MOD-X-Y-=-X . 4))
 (1657 43 (:REWRITE MOD-X-Y-=-X . 3))
 (1614 43 (:REWRITE MOD-X-Y-=-X+Y . 2))
 (1523 43 (:REWRITE SMAN::UNNECESSARY-MOD))
 (1485 43 (:REWRITE MOD-X-Y-=-X-Y . 2))
 (1461 357 (:REWRITE INTEGERP-MINUS-X))
 (1051 1051 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B))
 (1051 1051 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (1051 1051 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (1051 1051 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (1002 43 (:REWRITE MOD-ZERO . 4))
 (946 43 (:REWRITE MOD-ZERO . 3))
 (928 464 (:TYPE-PRESCRIPTION SMAN::NATP-MI))
 (915 43 (:REWRITE SMAN::UNNECESSARY-FLOOR))
 (816 96 (:REWRITE |(* (- x) y)|))
 (778 778 (:TYPE-PRESCRIPTION SMAN::STP))
 (719 365 (:REWRITE DEFAULT-LESS-THAN-2))
 (680 604 (:REWRITE DEFAULT-TIMES-2))
 (680 604 (:REWRITE DEFAULT-TIMES-1))
 (630 70 (:REWRITE ACL2-NUMBERP-X))
 (570 266 (:LINEAR SMAN::BYTEP-MI))
 (563 357 (:REWRITE DEFAULT-LESS-THAN-1))
 (480 96 (:REWRITE DEFAULT-MINUS))
 (473 43 (:REWRITE DEFAULT-MOD-RATIO))
 (467 467 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (467 467 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (467 467 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (467 467 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (453 332 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (435 43 (:REWRITE DEFAULT-FLOOR-RATIO))
 (432 96 (:REWRITE |(- (* c x))|))
 (420 84 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
 (420 84 (:TYPE-PRESCRIPTION MOD-ZERO . 1))
 (420 84 (:TYPE-PRESCRIPTION MOD-POSITIVE . 2))
 (420 84 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (365 365 (:REWRITE THE-FLOOR-BELOW))
 (365 365 (:REWRITE THE-FLOOR-ABOVE))
 (348 328 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (337 332 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (337 332 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (328 328 (:REWRITE SIMPLIFY-SUMS-<))
 (328 328 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (328 328 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (328 328 (:REWRITE INTEGERP-<-CONSTANT))
 (328 328 (:REWRITE CONSTANT-<-INTEGERP))
 (328 328 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (328 328 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (328 328 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (328 328 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (328 328 (:REWRITE |(< c (- x))|))
 (328 328 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (328 328 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (328 328 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (328 328 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (328 328 (:REWRITE |(< (/ x) (/ y))|))
 (328 328 (:REWRITE |(< (- x) c)|))
 (328 328 (:REWRITE |(< (- x) (- y))|))
 (326 326 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (320 5 (:REWRITE FLOOR-ZERO . 3))
 (309 309 (:REWRITE REDUCE-INTEGERP-+))
 (309 309 (:META META-INTEGERP-CORRECT))
 (280 70 (:REWRITE RATIONALP-X))
 (265 265 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (265 5 (:REWRITE CANCEL-FLOOR-+))
 (215 43 (:REWRITE MOD-X-Y-=-X-Y . 3))
 (215 43 (:REWRITE MOD-X-Y-=-X+Y . 3))
 (215 43 (:REWRITE MOD-X-Y-=-X . 2))
 (215 43 (:REWRITE MOD-CANCEL-*-REWRITING-GOAL-LITERAL))
 (215 43 (:REWRITE MOD-CANCEL-*-CONST))
 (215 43 (:REWRITE |(mod (+ x (mod a b)) y)|))
 (215 43 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
 (215 43 (:REWRITE |(mod (* x (/ y)) z) rewriting-goal-literal|))
 (186 5 (:LINEAR EXPT-X->=-X))
 (186 5 (:LINEAR EXPT-X->-X))
 (175 5 (:REWRITE FLOOR-ZERO . 5))
 (175 5 (:REWRITE FLOOR-ZERO . 4))
 (170 5 (:REWRITE FLOOR-X-Y-=--1 . 2))
 (165 165 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (165 165 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (165 165 (:REWRITE |(< (/ x) 0)|))
 (165 165 (:REWRITE |(< (* x y) 0)|))
 (155 5 (:REWRITE FLOOR-X-Y-=-1 . 2))
 (148 5 (:LINEAR EXPT-<=-1-TWO))
 (142 142 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (142 142 (:REWRITE NORMALIZE-ADDENDS))
 (126 126 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (126 126 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (126 126 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (126 126 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (126 126 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
 (110 5 (:REWRITE FLOOR-=-X/Y . 2))
 (107 5 (:LINEAR EXPT-<-1-TWO))
 (84 84 (:TYPE-PRESCRIPTION MOD-ZERO . 4))
 (84 84 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
 (84 84 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (84 84 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (84 84 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (84 84 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
 (81 43 (:REWRITE DEFAULT-FLOOR-1))
 (70 70 (:REWRITE REDUCE-RATIONALP-+))
 (70 70 (:REWRITE REDUCE-RATIONALP-*))
 (70 70 (:REWRITE RATIONALP-MINUS-X))
 (70 70 (:META META-RATIONALP-CORRECT))
 (56 56 (:REWRITE DEFAULT-EXPT-1))
 (56 56 (:REWRITE |(expt 1/c n)|))
 (56 56 (:REWRITE |(expt (- x) n)|))
 (55 47 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (55 47 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (55 47 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (54 54 (:REWRITE |(< 0 (* x y))|))
 (52 52 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (52 52 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (52 52 (:REWRITE |(< 0 (/ x))|))
 (47 47 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (47 47 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (47 47 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (47 47 (:REWRITE |(equal c (/ x))|))
 (47 47 (:REWRITE |(equal c (- x))|))
 (47 47 (:REWRITE |(equal (/ x) c)|))
 (47 47 (:REWRITE |(equal (/ x) (/ y))|))
 (47 47 (:REWRITE |(equal (- x) c)|))
 (47 47 (:REWRITE |(equal (- x) (- y))|))
 (43 43 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (43 43 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (43 43 (:REWRITE DEFAULT-MOD-2))
 (43 43 (:REWRITE DEFAULT-MOD-1))
 (43 43 (:REWRITE DEFAULT-FLOOR-2))
 (43 43 (:REWRITE |(mod x (- y))| . 3))
 (43 43 (:REWRITE |(mod x (- y))| . 2))
 (43 43 (:REWRITE |(mod x (- y))| . 1))
 (43 43 (:REWRITE |(mod x (* y (/ z))) rewriting-goal-literal|))
 (43 43 (:REWRITE |(mod x (* y (/ z))) not rewriting-goal-literal|))
 (43 43 (:REWRITE |(mod (- x) y)| . 3))
 (43 43 (:REWRITE |(mod (- x) y)| . 2))
 (43 43 (:REWRITE |(mod (- x) y)| . 1))
 (43 43 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
 (39 39 (:REWRITE ZP-OPEN))
 (34 34 (:REWRITE |(< x (+ c/d y))|))
 (30 30 (:REWRITE |(< y (+ (- c) x))|))
 (25 5 (:REWRITE FLOOR-ZERO . 2))
 (25 5 (:REWRITE FLOOR-X-Y-=-1 . 3))
 (25 5 (:REWRITE FLOOR-X-Y-=--1 . 3))
 (25 5 (:REWRITE FLOOR-CANCEL-*-REWRITING-GOAL-LITERAL))
 (25 5 (:REWRITE FLOOR-CANCEL-*-CONST))
 (25 5 (:REWRITE |(floor (* x (/ y)) z) rewriting-goal-literal|))
 (16 4 (:REWRITE |(+ c (+ d x))|))
 (15 5 (:REWRITE SMAN::!MI-MI))
 (10 10 (:TYPE-PRESCRIPTION ABS))
 (10 10 (:LINEAR EXPT-IS-WEAKLY-INCREASING-FOR-BASE->-1))
 (10 10 (:LINEAR EXPT-IS-WEAKLY-DECREASING-FOR-POS-BASE-<-1))
 (10 10 (:LINEAR EXPT-IS-INCREASING-FOR-BASE->-1))
 (10 10 (:LINEAR EXPT-IS-DECREASING-FOR-POS-BASE-<-1))
 (5 5 (:REWRITE FLOOR-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (5 5 (:REWRITE |(floor x (- y))| . 2))
 (5 5 (:REWRITE |(floor x (- y))| . 1))
 (5 5 (:REWRITE |(floor x (* y (/ z))) rewriting-goal-literal|))
 (5 5 (:REWRITE |(floor x (* y (/ z))) not rewriting-goal-literal|))
 (5 5 (:REWRITE |(floor (- x) y)| . 2))
 (5 5 (:REWRITE |(floor (- x) y)| . 1))
 (5 5 (:REWRITE |(floor (* x (/ y)) z) not rewriting-goal-literal|))
 (5 5 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
 (5 5 (:LINEAR EXPT-LINEAR-UPPER-<=))
 (5 5 (:LINEAR EXPT-LINEAR-UPPER-<))
 (5 5 (:LINEAR EXPT-LINEAR-LOWER-<=))
 (5 5 (:LINEAR EXPT-LINEAR-LOWER-<))
 (5 5 (:LINEAR EXPT->=-1-TWO))
 (5 5 (:LINEAR EXPT->-1-TWO))
 (5 5 (:LINEAR EXPT-<=-1-ONE))
 (5 5 (:LINEAR EXPT-<-1-ONE))
 )
(SMAN::!R-!I
 (66304 160 (:LINEAR LINEAR-FLOOR-BOUNDS-1))
 (50374 37414 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B))
 (45386 512 (:REWRITE THE-FLOOR-ABOVE))
 (37414 37414 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (37414 37414 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (37414 37414 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (36658 2 (:REWRITE |(logand (if a b c) x)|))
 (32028 2 (:REWRITE |(floor (if a b c) x)|))
 (27070 180 (:REWRITE |(+ y x)|))
 (22210 198 (:REWRITE SMAN::UNNECESSARY-FLOOR))
 (18270 2918 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (17570 196 (:REWRITE CANCEL-FLOOR-+))
 (16808 482 (:REWRITE DEFAULT-PLUS-1))
 (15888 24 (:REWRITE SMAN::UNNECESSARY-MOD))
 (15630 180 (:REWRITE NORMALIZE-ADDENDS))
 (15364 196 (:REWRITE FLOOR-ZERO . 3))
 (15074 24 (:REWRITE MOD-ZERO . 4))
 (14648 196 (:REWRITE FLOOR-ZERO . 4))
 (14638 196 (:REWRITE FLOOR-X-Y-=-1 . 2))
 (14596 196 (:REWRITE FLOOR-X-Y-=--1 . 2))
 (14436 1604 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (14436 1604 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
 (14436 1604 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 1))
 (14436 1604 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 1))
 (14436 1604 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
 (13594 24 (:REWRITE MOD-X-Y-=-X . 3))
 (12966 24 (:REWRITE MOD-X-Y-=-X+Y . 2))
 (12918 24 (:REWRITE MOD-X-Y-=-X-Y . 2))
 (12722 196 (:REWRITE FLOOR-ZERO . 5))
 (11715 655 (:REWRITE INTEGERP-MINUS-X))
 (11668 24 (:REWRITE MOD-X-Y-=-X . 4))
 (11632 2722 (:REWRITE DEFAULT-TIMES-2))
 (9186 2722 (:REWRITE DEFAULT-TIMES-1))
 (9150 24 (:REWRITE CANCEL-MOD-+))
 (9106 1014 (:REWRITE |(* y x)|))
 (8726 6 (:REWRITE |(mod (floor x y) z)| . 1))
 (8570 446 (:REWRITE |(* (- x) y)|))
 (8020 1604 (:TYPE-PRESCRIPTION FLOOR-ZERO . 4))
 (8020 1604 (:TYPE-PRESCRIPTION FLOOR-ZERO . 3))
 (8020 1604 (:TYPE-PRESCRIPTION FLOOR-ZERO . 1))
 (8020 1604 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 3))
 (8020 1604 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 2))
 (8020 1604 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 3))
 (8020 1604 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 2))
 (8020 1604 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 3))
 (8020 1604 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 2))
 (8020 1604 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 3))
 (8020 1604 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
 (5674 196 (:REWRITE FLOOR-=-X/Y . 2))
 (5212 446 (:REWRITE DEFAULT-MINUS))
 (5100 50 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (5100 50 (:DEFINITION FIX))
 (5040 446 (:REWRITE |(- (* c x))|))
 (4906 196 (:REWRITE FLOOR-=-X/Y . 3))
 (4786 198 (:REWRITE DEFAULT-FLOOR-RATIO))
 (4726 2 (:REWRITE |(< (if a b c) x)|))
 (3516 24 (:REWRITE MOD-ZERO . 3))
 (2984 512 (:REWRITE THE-FLOOR-BELOW))
 (2918 2918 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (2918 2918 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (2918 2918 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (2616 446 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (2082 24 (:REWRITE DEFAULT-MOD-RATIO))
 (1678 462 (:REWRITE DEFAULT-LESS-THAN-1))
 (1674 462 (:REWRITE DEFAULT-LESS-THAN-2))
 (1604 1604 (:TYPE-PRESCRIPTION FLOOR))
 (1586 196 (:REWRITE FLOOR-ZERO . 2))
 (1586 196 (:REWRITE FLOOR-X-Y-=-1 . 3))
 (1586 196 (:REWRITE FLOOR-X-Y-=--1 . 3))
 (1546 196 (:REWRITE FLOOR-CANCEL-*-CONST))
 (1472 1472 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (1332 24 (:REWRITE MOD-X-Y-=-X . 2))
 (1332 24 (:REWRITE |(mod (+ x (mod a b)) y)|))
 (1332 24 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
 (1194 6 (:REWRITE |(floor (floor x y) z)| . 1))
 (1128 460 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (1006 198 (:REWRITE DEFAULT-FLOOR-1))
 (958 80 (:LINEAR LINEAR-FLOOR-BOUNDS-3))
 (946 196 (:REWRITE FLOOR-CANCEL-*-REWRITING-GOAL-LITERAL))
 (836 196 (:REWRITE FLOOR-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (830 190 (:REWRITE |(floor (* x (/ y)) z) not rewriting-goal-literal|))
 (726 24 (:REWRITE MOD-X-Y-=-X-Y . 3))
 (726 24 (:REWRITE MOD-X-Y-=-X+Y . 3))
 (726 24 (:REWRITE MOD-CANCEL-*-REWRITING-GOAL-LITERAL))
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 (656 50 (:REWRITE DEFAULT-LOGAND-2))
 (640 26 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (640 26 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (638 80 (:LINEAR LINEAR-FLOOR-BOUNDS-2))
 (630 24 (:REWRITE DEFAULT-MOD-1))
 (540 446 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (494 446 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (446 446 (:REWRITE SIMPLIFY-SUMS-<))
 (446 446 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (446 446 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (446 446 (:REWRITE INTEGERP-<-CONSTANT))
 (446 446 (:REWRITE CONSTANT-<-INTEGERP))
 (446 446 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (446 446 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (446 446 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (446 446 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (446 446 (:REWRITE |(< c (- x))|))
 (446 446 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (446 446 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (446 446 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (446 446 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (446 446 (:REWRITE |(< (/ x) (/ y))|))
 (446 446 (:REWRITE |(< (- x) c)|))
 (446 446 (:REWRITE |(< (- x) (- y))|))
 (435 435 (:REWRITE REDUCE-INTEGERP-+))
 (435 435 (:META META-INTEGERP-CORRECT))
 (418 2 (:REWRITE |(* (if a b c) x)|))
 (372 372 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (350 20 (:REWRITE ZP-OPEN))
 (310 190 (:REWRITE |(floor (* x (/ y)) z) rewriting-goal-literal|))
 (296 296 (:REWRITE |(< (* x y) 0)|))
 (282 282 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (282 282 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (282 282 (:REWRITE |(< (/ x) 0)|))
 (254 54 (:REWRITE |(+ 0 x)|))
 (202 202 (:TYPE-PRESCRIPTION ABS))
 (198 198 (:REWRITE DEFAULT-FLOOR-2))
 (190 190 (:REWRITE |(floor x (- y))| . 2))
 (190 190 (:REWRITE |(floor x (- y))| . 1))
 (190 190 (:REWRITE |(floor x (* y (/ z))) rewriting-goal-literal|))
 (190 190 (:REWRITE |(floor x (* y (/ z))) not rewriting-goal-literal|))
 (190 190 (:REWRITE |(floor (- x) y)| . 2))
 (190 190 (:REWRITE |(floor (- x) y)| . 1))
 (172 172 (:TYPE-PRESCRIPTION SMAN::STP))
 (159 35 (:REWRITE SMAN::!MI-MI))
 (152 26 (:REWRITE SMAN::!I-I))
 (130 130 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (128 16 (:REWRITE ACL2-NUMBERP-X))
 (108 12 (:REWRITE FLOOR-POSITIVE . 2))
 (108 12 (:REWRITE FLOOR-NONPOSITIVE . 1))
 (100 50 (:REWRITE BUBBLE-DOWN-+-MATCH-1))
 (96 96 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
 (90 18 (:REWRITE |(mod (* x (/ y)) z) rewriting-goal-literal|))
 (84 84 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (84 84 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (84 84 (:REWRITE |(< 0 (/ x))|))
 (84 84 (:REWRITE |(< 0 (* x y))|))
 (82 34 (:REWRITE SMAN::STP-!MI))
 (80 16 (:REWRITE |(+ c (+ d x))|))
 (60 12 (:REWRITE FLOOR-POSITIVE . 4))
 (60 12 (:REWRITE FLOOR-POSITIVE . 3))
 (60 12 (:REWRITE FLOOR-NONPOSITIVE . 3))
 (60 12 (:REWRITE FLOOR-NONPOSITIVE . 2))
 (56 14 (:REWRITE RATIONALP-X))
 (50 50 (:REWRITE |(+ x (- x))|))
 (40 6 (:REWRITE SMAN::!MI-!MI-DIFF))
 (36 9 (:REWRITE SMAN::STP-!I))
 (34 26 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (32 8 (:REWRITE SMAN::STP-!R))
 (30 6 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
 (30 6 (:TYPE-PRESCRIPTION MOD-ZERO . 1))
 (30 6 (:TYPE-PRESCRIPTION MOD-POSITIVE . 2))
 (30 6 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (30 6 (:REWRITE FLOOR-=-X/Y . 4))
 (30 6 (:REWRITE |(equal (floor (+ x y) z) x)|))
 (28 4 (:REWRITE INTEGERP-+-REDUCE-CONSTANT))
 (26 26 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (26 26 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (26 26 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (26 26 (:REWRITE |(equal c (/ x))|))
 (26 26 (:REWRITE |(equal c (- x))|))
 (26 26 (:REWRITE |(equal (/ x) c)|))
 (26 26 (:REWRITE |(equal (/ x) (/ y))|))
 (26 26 (:REWRITE |(equal (- x) c)|))
 (26 26 (:REWRITE |(equal (- x) (- y))|))
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 (24 24 (:REWRITE DEFAULT-MOD-2))
 (22 22 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (20 8 (:REWRITE DEFAULT-CDR))
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 (18 18 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-ODD-EXPONENT))
 (18 18 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
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 (18 18 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (18 18 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
 (18 18 (:REWRITE |(mod x (- y))| . 3))
 (18 18 (:REWRITE |(mod x (- y))| . 2))
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 (18 18 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
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 (14 14 (:REWRITE RATIONALP-MINUS-X))
 (14 14 (:REWRITE |(* a (/ a) b)|))
 (14 14 (:META META-RATIONALP-CORRECT))
 (12 12 (:REWRITE FLOOR-POSITIVE . 1))
 (10 10 (:REWRITE |(< y (+ (- c) x))|))
 (10 10 (:REWRITE |(< x (+ c/d y))|))
 (6 6 (:TYPE-PRESCRIPTION MOD-ZERO . 4))
 (6 6 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
 (6 6 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (6 6 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (6 6 (:TYPE-PRESCRIPTION MOD-NONNEGATIVE))
 (6 6 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (6 6 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
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 (6 6 (:REWRITE |(mod (floor x y) z)| . 5))
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 (6 6 (:REWRITE |(floor (floor x y) z)| . 3))
 (6 6 (:REWRITE |(floor (floor x y) z)| . 2))
 )
(SMAN::!R-!S
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 (37414 37414 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (36658 2 (:REWRITE |(logand (if a b c) x)|))
 (32028 2 (:REWRITE |(floor (if a b c) x)|))
 (27070 180 (:REWRITE |(+ y x)|))
 (22210 198 (:REWRITE SMAN::UNNECESSARY-FLOOR))
 (18270 2918 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (17570 196 (:REWRITE CANCEL-FLOOR-+))
 (16808 482 (:REWRITE DEFAULT-PLUS-1))
 (15888 24 (:REWRITE SMAN::UNNECESSARY-MOD))
 (15630 180 (:REWRITE NORMALIZE-ADDENDS))
 (15364 196 (:REWRITE FLOOR-ZERO . 3))
 (15074 24 (:REWRITE MOD-ZERO . 4))
 (14648 196 (:REWRITE FLOOR-ZERO . 4))
 (14638 196 (:REWRITE FLOOR-X-Y-=-1 . 2))
 (14596 196 (:REWRITE FLOOR-X-Y-=--1 . 2))
 (14436 1604 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (14436 1604 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
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 (12722 196 (:REWRITE FLOOR-ZERO . 5))
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 (1472 1472 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
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 (1332 24 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
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 (830 190 (:REWRITE |(floor (* x (/ y)) z) not rewriting-goal-literal|))
 (726 24 (:REWRITE MOD-X-Y-=-X-Y . 3))
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 (726 24 (:REWRITE MOD-CANCEL-*-REWRITING-GOAL-LITERAL))
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 (640 26 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (640 26 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (638 80 (:LINEAR LINEAR-FLOOR-BOUNDS-2))
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 (540 446 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (494 446 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (446 446 (:REWRITE SIMPLIFY-SUMS-<))
 (446 446 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (446 446 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (446 446 (:REWRITE INTEGERP-<-CONSTANT))
 (446 446 (:REWRITE CONSTANT-<-INTEGERP))
 (446 446 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (446 446 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
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 (446 446 (:REWRITE |(< c (- x))|))
 (446 446 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
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 (446 446 (:REWRITE |(< (/ x) (/ y))|))
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 (282 282 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (282 282 (:REWRITE |(< (/ x) 0)|))
 (254 54 (:REWRITE |(+ 0 x)|))
 (202 202 (:TYPE-PRESCRIPTION ABS))
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 (190 190 (:TYPE-PRESCRIPTION SMAN::STP))
 (190 190 (:REWRITE |(floor x (- y))| . 2))
 (190 190 (:REWRITE |(floor x (- y))| . 1))
 (190 190 (:REWRITE |(floor x (* y (/ z))) rewriting-goal-literal|))
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 (130 130 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
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 (100 50 (:REWRITE BUBBLE-DOWN-+-MATCH-1))
 (96 96 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
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 (84 84 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (84 84 (:REWRITE |(< 0 (/ x))|))
 (84 84 (:REWRITE |(< 0 (* x y))|))
 (80 16 (:REWRITE |(+ c (+ d x))|))
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 (18 18 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-ODD-EXPONENT))
 (18 18 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
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 (18 18 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (18 18 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
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 (10 10 (:REWRITE |(< x (+ c/d y))|))
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 )
(SMAN::!R-!R-SAME-HINT
 (6 6 (:TYPE-PRESCRIPTION |(< (logand x y) 0)| . 3))
 (6 6 (:TYPE-PRESCRIPTION |(< (logand x y) 0)| . 2))
 (6 6 (:TYPE-PRESCRIPTION |(< (logand x y) 0)| . 1))
 )
(SMAN::!R-!MI-BELOW
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 (433 21 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
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 (94 94 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (74 36 (:REWRITE SMAN::STP-!MI))
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 (70 14 (:REWRITE |(mod (* x (/ y)) z) rewriting-goal-literal|))
 (69 69 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
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 (62 62 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (62 62 (:REWRITE |(< 0 (/ x))|))
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 (60 12 (:REWRITE |(+ c (+ d x))|))
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 (34 34 (:REWRITE |(+ x (- x))|))
 (29 21 (:REWRITE SIMPLIFY-SUMS-EQUAL))
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 (21 21 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (21 21 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (21 21 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (21 21 (:REWRITE |(equal c (/ x))|))
 (21 21 (:REWRITE |(equal c (- x))|))
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 (144 144 (:REWRITE |(floor x (- y))| . 2))
 (144 144 (:REWRITE |(floor x (- y))| . 1))
 (144 144 (:REWRITE |(floor x (* y (/ z))) rewriting-goal-literal|))
 (144 144 (:REWRITE |(floor x (* y (/ z))) not rewriting-goal-literal|))
 (144 144 (:REWRITE |(floor (- x) y)| . 2))
 (144 144 (:REWRITE |(floor (- x) y)| . 1))
 (140 28 (:REWRITE |(mod (* x (/ y)) z) rewriting-goal-literal|))
 (125 125 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (124 124 (:TYPE-PRESCRIPTION SMAN::STP))
 (90 90 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (90 90 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (90 90 (:REWRITE |(< 0 (/ x))|))
 (90 90 (:REWRITE |(< 0 (* x y))|))
 (83 83 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
 (73 30 (:REWRITE SMAN::STP-!R))
 (72 8 (:REWRITE FLOOR-POSITIVE . 2))
 (72 8 (:REWRITE FLOOR-NONPOSITIVE . 1))
 (68 34 (:REWRITE BUBBLE-DOWN-+-MATCH-1))
 (60 12 (:REWRITE |(+ c (+ d x))|))
 (53 35 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (46 6 (:REWRITE ACL2-NUMBERP-X))
 (40 8 (:REWRITE FLOOR-POSITIVE . 4))
 (40 8 (:REWRITE FLOOR-POSITIVE . 3))
 (40 8 (:REWRITE FLOOR-NONPOSITIVE . 3))
 (40 8 (:REWRITE FLOOR-NONPOSITIVE . 2))
 (35 35 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (35 35 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (35 35 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (35 35 (:REWRITE |(equal c (/ x))|))
 (35 35 (:REWRITE |(equal c (- x))|))
 (35 35 (:REWRITE |(equal (/ x) c)|))
 (35 35 (:REWRITE |(equal (/ x) (/ y))|))
 (35 35 (:REWRITE |(equal (- x) c)|))
 (35 35 (:REWRITE |(equal (- x) (- y))|))
 (34 34 (:REWRITE |(+ x (- x))|))
 (32 32 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (32 32 (:REWRITE DEFAULT-MOD-2))
 (31 31 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (28 28 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-ODD-EXPONENT))
 (28 28 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (28 28 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (28 28 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (28 28 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (28 28 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
 (28 28 (:REWRITE |(mod x (- y))| . 3))
 (28 28 (:REWRITE |(mod x (- y))| . 2))
 (28 28 (:REWRITE |(mod x (- y))| . 1))
 (28 28 (:REWRITE |(mod x (* y (/ z))) rewriting-goal-literal|))
 (28 28 (:REWRITE |(mod x (* y (/ z))) not rewriting-goal-literal|))
 (28 28 (:REWRITE |(mod (- x) y)| . 3))
 (28 28 (:REWRITE |(mod (- x) y)| . 2))
 (28 28 (:REWRITE |(mod (- x) y)| . 1))
 (28 28 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
 (20 4 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
 (20 4 (:TYPE-PRESCRIPTION MOD-ZERO . 1))
 (20 4 (:TYPE-PRESCRIPTION MOD-POSITIVE . 2))
 (20 4 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (20 4 (:REWRITE FLOOR-=-X/Y . 4))
 (20 4 (:REWRITE |(equal (floor (+ x y) z) x)|))
 (20 2 (:REWRITE RATIONALP-X))
 (12 4 (:REWRITE DEFAULT-CDR))
 (12 4 (:REWRITE DEFAULT-CAR))
 (10 10 (:REWRITE |(* a (/ a) b)|))
 (9 9 (:REWRITE |(< y (+ (- c) x))|))
 (9 9 (:REWRITE |(< x (+ c/d y))|))
 (8 8 (:REWRITE FLOOR-POSITIVE . 1))
 (4 4 (:TYPE-PRESCRIPTION MOD-ZERO . 4))
 (4 4 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
 (4 4 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (4 4 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (4 4 (:TYPE-PRESCRIPTION MOD-NONNEGATIVE))
 (4 4 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (4 4 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
 (4 4 (:TYPE-PRESCRIPTION INTEGERP-MOD-1))
 (4 4 (:REWRITE FLOOR-ZERO . 1))
 (4 4 (:REWRITE |(mod (floor x y) z)| . 5))
 (4 4 (:REWRITE |(mod (floor x y) z)| . 4))
 (4 4 (:REWRITE |(mod (floor x y) z)| . 3))
 (4 4 (:REWRITE |(mod (floor x y) z)| . 2))
 (4 4 (:REWRITE |(floor (floor x y) z)| . 5))
 (4 4 (:REWRITE |(floor (floor x y) z)| . 4))
 (4 4 (:REWRITE |(floor (floor x y) z)| . 3))
 (4 4 (:REWRITE |(floor (floor x y) z)| . 2))
 (3 1 (:REWRITE SMAN::STP-!MI))
 (2 2 (:REWRITE REDUCE-RATIONALP-+))
 (2 2 (:REWRITE REDUCE-RATIONALP-*))
 (2 2 (:REWRITE RATIONALP-MINUS-X))
 (2 2 (:META META-RATIONALP-CORRECT))
 )
(SMAN::!R-!R-DIFF-ABOVE
 (3726 5 (:DEFINITION SMAN::!R))
 (1925 5 (:REWRITE ASH-TO-FLOOR))
 (1725 15 (:REWRITE DEFAULT-LOGAND-1))
 (1675 5 (:REWRITE |(logand y x)|))
 (1665 10 (:REWRITE LOGAND-CONSTANT-MASK))
 (320 5 (:REWRITE FLOOR-ZERO . 3))
 (289 59 (:REWRITE INTEGERP-MINUS-X))
 (265 5 (:REWRITE CANCEL-MOD-+))
 (265 5 (:REWRITE CANCEL-FLOOR-+))
 (175 5 (:REWRITE MOD-X-Y-=-X . 4))
 (175 5 (:REWRITE MOD-X-Y-=-X . 3))
 (175 5 (:REWRITE FLOOR-ZERO . 5))
 (175 5 (:REWRITE FLOOR-ZERO . 4))
 (170 20 (:REWRITE |(* (- x) y)|))
 (170 5 (:REWRITE MOD-X-Y-=-X+Y . 2))
 (170 5 (:REWRITE FLOOR-X-Y-=--1 . 2))
 (160 40 (:REWRITE |(* y x)|))
 (155 5 (:REWRITE SMAN::UNNECESSARY-MOD))
 (155 5 (:REWRITE SMAN::UNNECESSARY-FLOOR))
 (155 5 (:REWRITE MOD-X-Y-=-X-Y . 2))
 (155 5 (:REWRITE FLOOR-X-Y-=-1 . 2))
 (145 145 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B))
 (145 145 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (145 145 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (145 145 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (140 140 (:TYPE-PRESCRIPTION SMAN::!R))
 (125 125 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (125 125 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (125 125 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (125 125 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (110 110 (:REWRITE DEFAULT-TIMES-2))
 (110 110 (:REWRITE DEFAULT-TIMES-1))
 (110 5 (:REWRITE MOD-ZERO . 3))
 (110 5 (:REWRITE FLOOR-=-X/Y . 3))
 (110 5 (:REWRITE FLOOR-=-X/Y . 2))
 (100 20 (:REWRITE DEFAULT-MINUS))
 (90 20 (:REWRITE |(- (* c x))|))
 (90 5 (:REWRITE MOD-ZERO . 4))
 (80 60 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (80 60 (:REWRITE DEFAULT-LESS-THAN-1))
 (65 60 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (65 60 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (60 60 (:REWRITE THE-FLOOR-BELOW))
 (60 60 (:REWRITE THE-FLOOR-ABOVE))
 (60 60 (:REWRITE SIMPLIFY-SUMS-<))
 (60 60 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (60 60 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (60 60 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (60 60 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (60 60 (:REWRITE INTEGERP-<-CONSTANT))
 (60 60 (:REWRITE DEFAULT-LESS-THAN-2))
 (60 60 (:REWRITE CONSTANT-<-INTEGERP))
 (60 60 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (60 60 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (60 60 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (60 60 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (60 60 (:REWRITE |(< c (- x))|))
 (60 60 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (60 60 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (60 60 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (60 60 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (60 60 (:REWRITE |(< (/ x) (/ y))|))
 (60 60 (:REWRITE |(< (- x) c)|))
 (60 60 (:REWRITE |(< (- x) (- y))|))
 (55 5 (:REWRITE DEFAULT-MOD-RATIO))
 (55 5 (:REWRITE DEFAULT-FLOOR-RATIO))
 (50 50 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (49 49 (:REWRITE REDUCE-INTEGERP-+))
 (49 49 (:META META-INTEGERP-CORRECT))
 (39 39 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (39 39 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (39 39 (:REWRITE |(< (/ x) 0)|))
 (39 39 (:REWRITE |(< (* x y) 0)|))
 (25 5 (:REWRITE MOD-X-Y-=-X-Y . 3))
 (25 5 (:REWRITE MOD-X-Y-=-X+Y . 3))
 (25 5 (:REWRITE MOD-X-Y-=-X . 2))
 (25 5 (:REWRITE MOD-CANCEL-*-REWRITING-GOAL-LITERAL))
 (25 5 (:REWRITE MOD-CANCEL-*-CONST))
 (25 5 (:REWRITE FLOOR-ZERO . 2))
 (25 5 (:REWRITE FLOOR-X-Y-=-1 . 3))
 (25 5 (:REWRITE FLOOR-X-Y-=--1 . 3))
 (25 5 (:REWRITE FLOOR-CANCEL-*-REWRITING-GOAL-LITERAL))
 (25 5 (:REWRITE FLOOR-CANCEL-*-CONST))
 (25 5 (:REWRITE |(mod (+ x (mod a b)) y)|))
 (25 5 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
 (25 5 (:REWRITE |(mod (* x (/ y)) z) rewriting-goal-literal|))
 (25 5 (:REWRITE |(floor (* x (/ y)) z) rewriting-goal-literal|))
 (21 5 (:REWRITE SMAN::!MI-MI))
 (15 15 (:REWRITE DEFAULT-LOGAND-2))
 (14 14 (:TYPE-PRESCRIPTION SMAN::STP))
 (11 11 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (11 11 (:REWRITE NORMALIZE-ADDENDS))
 (11 11 (:REWRITE DEFAULT-PLUS-2))
 (11 11 (:REWRITE DEFAULT-PLUS-1))
 (10 10 (:TYPE-PRESCRIPTION ABS))
 (10 10 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (10 10 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (10 10 (:REWRITE |(< 0 (/ x))|))
 (10 10 (:REWRITE |(< 0 (* x y))|))
 (6 2 (:REWRITE SMAN::STP-!R))
 (5 5 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-POSITIVE-BASE))
 (5 5 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-ODD-EXPONENT))
 (5 5 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (5 5 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONNEGATIVE-BASE))
 (5 5 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (5 5 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (5 5 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (5 5 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
 (5 5 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE))
 (5 5 (:REWRITE ZP-OPEN))
 (5 5 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (5 5 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (5 5 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (5 5 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (5 5 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (5 5 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (5 5 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (5 5 (:REWRITE FLOOR-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (5 5 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (5 5 (:REWRITE DEFAULT-MOD-2))
 (5 5 (:REWRITE DEFAULT-MOD-1))
 (5 5 (:REWRITE DEFAULT-FLOOR-2))
 (5 5 (:REWRITE DEFAULT-FLOOR-1))
 (5 5 (:REWRITE |(mod x (- y))| . 3))
 (5 5 (:REWRITE |(mod x (- y))| . 2))
 (5 5 (:REWRITE |(mod x (- y))| . 1))
 (5 5 (:REWRITE |(mod x (* y (/ z))) rewriting-goal-literal|))
 (5 5 (:REWRITE |(mod x (* y (/ z))) not rewriting-goal-literal|))
 (5 5 (:REWRITE |(mod (- x) y)| . 3))
 (5 5 (:REWRITE |(mod (- x) y)| . 2))
 (5 5 (:REWRITE |(mod (- x) y)| . 1))
 (5 5 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
 (5 5 (:REWRITE |(floor x (- y))| . 2))
 (5 5 (:REWRITE |(floor x (- y))| . 1))
 (5 5 (:REWRITE |(floor x (* y (/ z))) rewriting-goal-literal|))
 (5 5 (:REWRITE |(floor x (* y (/ z))) not rewriting-goal-literal|))
 (5 5 (:REWRITE |(floor (- x) y)| . 2))
 (5 5 (:REWRITE |(floor (- x) y)| . 1))
 (5 5 (:REWRITE |(floor (* x (/ y)) z) not rewriting-goal-literal|))
 (5 5 (:REWRITE |(equal c (/ x))|))
 (5 5 (:REWRITE |(equal c (- x))|))
 (5 5 (:REWRITE |(equal (/ x) c)|))
 (5 5 (:REWRITE |(equal (/ x) (/ y))|))
 (5 5 (:REWRITE |(equal (- x) c)|))
 (5 5 (:REWRITE |(equal (- x) (- y))|))
 (5 5 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
 (1 1 (:REWRITE |(< y (+ (- c) x))|))
 (1 1 (:REWRITE |(< x (+ c/d y))|))
 )
(SMAN::!R-R
 (17923 188 (:LINEAR SMAN::R-BOUND))
 (12291 233 (:REWRITE DEFAULT-LOGAND-2))
 (2771 668 (:REWRITE DEFAULT-PLUS-1))
 (2443 32 (:REWRITE MOD-X-Y-=-X . 3))
 (2256 111 (:REWRITE |(+ (if a b c) x)|))
 (2070 32 (:REWRITE MOD-X-Y-=-X . 4))
 (2067 32 (:REWRITE MOD-X-Y-=-X+Y . 2))
 (2007 32 (:REWRITE MOD-ZERO . 4))
 (1969 32 (:REWRITE MOD-X-Y-=-X-Y . 2))
 (1749 5 (:REWRITE FLOOR-ZERO . 3))
 (1438 5 (:REWRITE FLOOR-ZERO . 4))
 (1095 5 (:REWRITE FLOOR-X-Y-=--1 . 2))
 (1078 5 (:REWRITE FLOOR-X-Y-=-1 . 2))
 (1066 304 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (1063 5 (:REWRITE FLOOR-ZERO . 5))
 (1041 668 (:REWRITE DEFAULT-PLUS-2))
 (1033 65 (:LINEAR EXPT->-1-ONE))
 (953 305 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (919 1 (:REWRITE |(floor (+ x r) i)|))
 (912 548 (:REWRITE DEFAULT-TIMES-2))
 (910 65 (:LINEAR EXPT->=-1-ONE))
 (769 32 (:REWRITE MOD-ZERO . 3))
 (764 764 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (764 764 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (764 764 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (706 130 (:LINEAR EXPT-IS-WEAKLY-INCREASING-FOR-BASE->-1))
 (665 548 (:REWRITE DEFAULT-TIMES-1))
 (641 65 (:LINEAR EXPT-LINEAR-LOWER-<=))
 (565 279 (:REWRITE INTEGERP-<-CONSTANT))
 (513 513 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-ODD-EXPONENT))
 (513 513 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (513 513 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (513 513 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (513 513 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (513 513 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
 (488 65 (:LINEAR EXPT-X->=-X))
 (488 65 (:LINEAR EXPT-X->-X))
 (463 453 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (463 453 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (463 453 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (432 432 (:TYPE-PRESCRIPTION ASH))
 (402 32 (:REWRITE DEFAULT-MOD-RATIO))
 (400 79 (:REWRITE DEFAULT-MINUS))
 (385 305 (:REWRITE DEFAULT-LESS-THAN-1))
 (384 192 (:TYPE-PRESCRIPTION SMAN::NATP-NTH-MP))
 (377 377 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (357 277 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (327 277 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (319 305 (:REWRITE DEFAULT-LESS-THAN-2))
 (309 309 (:REWRITE REDUCE-INTEGERP-+))
 (309 309 (:META META-INTEGERP-CORRECT))
 (309 304 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (305 305 (:REWRITE THE-FLOOR-BELOW))
 (305 305 (:REWRITE THE-FLOOR-ABOVE))
 (291 291 (:REWRITE DEFAULT-EXPT-2))
 (291 291 (:REWRITE DEFAULT-EXPT-1))
 (291 291 (:REWRITE |(expt 1/c n)|))
 (291 291 (:REWRITE |(expt (- x) n)|))
 (286 130 (:LINEAR EXPT-IS-INCREASING-FOR-BASE->-1))
 (285 285 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (279 279 (:REWRITE CONSTANT-<-INTEGERP))
 (279 279 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (279 279 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (279 279 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (279 279 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (279 279 (:REWRITE |(< c (- x))|))
 (279 279 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (279 279 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (279 279 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (279 279 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (279 279 (:REWRITE |(< (/ x) (/ y))|))
 (279 279 (:REWRITE |(< (- x) c)|))
 (279 279 (:REWRITE |(< (- x) (- y))|))
 (278 278 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (277 277 (:REWRITE SIMPLIFY-SUMS-<))
 (270 65 (:LINEAR EXPT-<=-1-TWO))
 (270 54 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
 (270 54 (:TYPE-PRESCRIPTION MOD-ZERO . 1))
 (270 54 (:TYPE-PRESCRIPTION MOD-POSITIVE . 2))
 (270 54 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (222 32 (:REWRITE MOD-X-Y-=-X . 2))
 (222 32 (:REWRITE |(mod (+ x (mod a b)) y)|))
 (222 32 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
 (216 32 (:REWRITE MOD-X-Y-=-X-Y . 3))
 (216 32 (:REWRITE MOD-X-Y-=-X+Y . 3))
 (181 5 (:REWRITE FLOOR-=-X/Y . 2))
 (168 168 (:TYPE-PRESCRIPTION |(< (logand x y) 0)| . 3))
 (168 168 (:TYPE-PRESCRIPTION |(< (logand x y) 0)| . 1))
 (159 31 (:REWRITE MOD-CANCEL-*-CONST))
 (145 9 (:REWRITE DEFAULT-FLOOR-RATIO))
 (130 130 (:LINEAR EXPT-IS-WEAKLY-DECREASING-FOR-POS-BASE-<-1))
 (130 130 (:LINEAR EXPT-IS-DECREASING-FOR-POS-BASE-<-1))
 (128 122 (:REWRITE DEFAULT-LOGAND-1))
 (127 31 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (127 31 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
 (110 27 (:REWRITE |(+ c (+ d x))|))
 (108 108 (:REWRITE |(< (/ x) 0)|))
 (108 108 (:REWRITE |(< (* x y) 0)|))
 (107 107 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (107 107 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (106 1 (:REWRITE |(< x (/ y)) with (< 0 y)|))
 (81 5 (:REWRITE FLOOR-ZERO . 2))
 (81 5 (:REWRITE FLOOR-X-Y-=-1 . 3))
 (81 5 (:REWRITE FLOOR-X-Y-=--1 . 3))
 (65 65 (:LINEAR EXPT-LINEAR-UPPER-<=))
 (65 65 (:LINEAR EXPT-LINEAR-UPPER-<))
 (65 65 (:LINEAR EXPT-LINEAR-LOWER-<))
 (65 65 (:LINEAR EXPT->=-1-TWO))
 (65 65 (:LINEAR EXPT->-1-TWO))
 (65 65 (:LINEAR EXPT-<=-1-ONE))
 (65 65 (:LINEAR EXPT-<-1-TWO))
 (65 65 (:LINEAR EXPT-<-1-ONE))
 (63 31 (:REWRITE MOD-CANCEL-*-REWRITING-GOAL-LITERAL))
 (63 31 (:REWRITE |(mod (* x (/ y)) z) rewriting-goal-literal|))
 (54 54 (:TYPE-PRESCRIPTION MOD-ZERO . 4))
 (54 54 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
 (54 54 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (54 54 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (54 54 (:TYPE-PRESCRIPTION MOD-NONNEGATIVE))
 (54 54 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (54 54 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
 (54 54 (:TYPE-PRESCRIPTION INTEGERP-MOD-1))
 (50 50 (:REWRITE |(< 0 (* x y))|))
 (46 36 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (46 36 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (41 8 (:REWRITE ZP-OPEN))
 (40 40 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (40 40 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (40 40 (:REWRITE |(< 0 (/ x))|))
 (40 36 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (38 32 (:REWRITE DEFAULT-MOD-1))
 (36 36 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (36 36 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (36 36 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (36 36 (:REWRITE |(equal c (/ x))|))
 (36 36 (:REWRITE |(equal c (- x))|))
 (36 36 (:REWRITE |(equal (/ x) c)|))
 (36 36 (:REWRITE |(equal (/ x) (/ y))|))
 (36 36 (:REWRITE |(equal (- x) c)|))
 (36 36 (:REWRITE |(equal (- x) (- y))|))
 (32 32 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (32 32 (:REWRITE DEFAULT-MOD-2))
 (31 31 (:REWRITE |(mod x (- y))| . 3))
 (31 31 (:REWRITE |(mod x (- y))| . 2))
 (31 31 (:REWRITE |(mod x (- y))| . 1))
 (31 31 (:REWRITE |(mod x (* y (/ z))) rewriting-goal-literal|))
 (31 31 (:REWRITE |(mod x (* y (/ z))) not rewriting-goal-literal|))
 (31 31 (:REWRITE |(mod (- x) y)| . 3))
 (31 31 (:REWRITE |(mod (- x) y)| . 2))
 (31 31 (:REWRITE |(mod (- x) y)| . 1))
 (31 31 (:REWRITE |(< x (+ c/d y))|))
 (24 4 (:REWRITE FLOOR-CANCEL-*-REWRITING-GOAL-LITERAL))
 (24 4 (:REWRITE FLOOR-CANCEL-*-CONST))
 (24 4 (:REWRITE |(floor (* x (/ y)) z) rewriting-goal-literal|))
 (19 9 (:REWRITE DEFAULT-FLOOR-1))
 (18 6 (:LINEAR SMAN::BYTEP-NTH-MP))
 (12 8 (:REWRITE DEFAULT-CDR))
 (12 8 (:REWRITE DEFAULT-CAR))
 (12 4 (:REWRITE |(< (* (/ x) y) 1) with (< 0 x)|))
 (11 11 (:TYPE-PRESCRIPTION ABS))
 (10 10 (:REWRITE |(< (+ c/d x) y)|))
 (9 9 (:REWRITE DEFAULT-FLOOR-2))
 (9 9 (:REWRITE |(< (+ (- c) x) y)|))
 (8 4 (:REWRITE |(< (* (/ x) y) 1) with (< x 0)|))
 (7 7 (:REWRITE |(< y (+ (- c) x))|))
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 (4 4 (:REWRITE |(floor x (- y))| . 2))
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 (4 4 (:REWRITE |(floor x (* y (/ z))) rewriting-goal-literal|))
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 (4 4 (:REWRITE |(floor (* x (/ y)) z) not rewriting-goal-literal|))
 (4 2 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (3 3 (:REWRITE INTEGERP-+-REDUCE-CONSTANT))
 (2 1 (:REWRITE |(< x (/ y)) with (< y 0)|))
 (1 1 (:REWRITE |(equal (+ (- c) x) y)|))
 )
(SMAN::NTHCDR-IS-LAST
 (167 128 (:REWRITE DEFAULT-PLUS-2))
 (128 128 (:REWRITE DEFAULT-PLUS-1))
 (91 91 (:REWRITE DEFAULT-CDR))
 (80 80 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (80 80 (:REWRITE NORMALIZE-ADDENDS))
 (60 4 (:REWRITE |(+ (+ x y) z)|))
 (53 30 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (53 30 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (46 30 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (32 32 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (30 30 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (30 30 (:REWRITE |(equal c (/ x))|))
 (30 30 (:REWRITE |(equal c (- x))|))
 (30 30 (:REWRITE |(equal (/ x) c)|))
 (30 30 (:REWRITE |(equal (/ x) (/ y))|))
 (30 30 (:REWRITE |(equal (- x) c)|))
 (30 30 (:REWRITE |(equal (- x) (- y))|))
 (27 27 (:REWRITE DEFAULT-CAR))
 (22 19 (:REWRITE DEFAULT-LESS-THAN-2))
 (20 17 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (20 17 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (19 19 (:REWRITE THE-FLOOR-BELOW))
 (19 19 (:REWRITE THE-FLOOR-ABOVE))
 (19 19 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (19 19 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (19 19 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (19 19 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (19 19 (:REWRITE INTEGERP-<-CONSTANT))
 (19 19 (:REWRITE DEFAULT-LESS-THAN-1))
 (19 19 (:REWRITE CONSTANT-<-INTEGERP))
 (19 19 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (19 19 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
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 (19 19 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (19 19 (:REWRITE |(< (/ x) (/ y))|))
 (19 19 (:REWRITE |(< (- x) c)|))
 (19 19 (:REWRITE |(< (- x) (- y))|))
 (17 17 (:REWRITE SIMPLIFY-SUMS-<))
 (11 11 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (11 11 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (11 11 (:REWRITE |(< 0 (/ x))|))
 (11 11 (:REWRITE |(< 0 (* x y))|))
 (10 10 (:REWRITE |(< y (+ (- c) x))|))
 (10 10 (:REWRITE |(< x (+ c/d y))|))
 (8 8 (:REWRITE |(< (/ x) 0)|))
 (8 8 (:REWRITE |(< (* x y) 0)|))
 (6 6 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (6 6 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (6 6 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (5 5 (:REWRITE REDUCE-INTEGERP-+))
 (5 5 (:REWRITE INTEGERP-MINUS-X))
 (5 5 (:REWRITE |(equal (+ (- c) x) y)|))
 (5 5 (:META META-INTEGERP-CORRECT))
 (4 2 (:TYPE-PRESCRIPTION SMAN::NATP-NTH-MP))
 (3 3 (:REWRITE |(equal x (if a b c))|))
 (3 3 (:REWRITE |(equal (if a b c) x)|))
 (2 2 (:TYPE-PRESCRIPTION SMAN::MP))
 (1 1 (:REWRITE |(< (+ c/d x) y)|))
 (1 1 (:REWRITE |(< (+ (- c) x) y)|))
 )
(SMAN::NTHCDR-UPDATE-NTH
 (3889 63 (:REWRITE SMAN::NTHCDR-IS-LAST))
 (1242 21 (:REWRITE SMAN::!NTH-NTH))
 (1069 85 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (1018 40 (:REWRITE ZP-OPEN))
 (731 559 (:REWRITE DEFAULT-PLUS-2))
 (718 60 (:REWRITE ACL2-NUMBERP-X))
 (676 8 (:REWRITE LEN-UPDATE-NTH))
 (645 118 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (620 113 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (559 559 (:REWRITE DEFAULT-PLUS-1))
 (549 121 (:REWRITE |(+ c (+ d x))|))
 (488 46 (:REWRITE |(equal (+ (- c) x) y)|))
 (411 85 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (396 85 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (329 20 (:REWRITE RATIONALP-X))
 (314 8 (:DEFINITION NFIX))
 (287 287 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (287 287 (:REWRITE NORMALIZE-ADDENDS))
 (263 21 (:REWRITE |(+ y (+ x z))|))
 (255 17 (:REWRITE |(+ (+ x y) z)|))
 (254 8 (:DEFINITION MAX))
 (242 206 (:REWRITE DEFAULT-CDR))
 (228 114 (:TYPE-PRESCRIPTION SMAN::NATP-NTH-MP))
 (228 6 (:DEFINITION NTH))
 (206 6 (:REWRITE |(< (+ (- c) x) y)|))
 (140 118 (:REWRITE DEFAULT-LESS-THAN-2))
 (124 118 (:REWRITE DEFAULT-LESS-THAN-1))
 (119 96 (:REWRITE SIMPLIFY-SUMS-<))
 (119 96 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (119 96 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (118 118 (:REWRITE THE-FLOOR-BELOW))
 (118 118 (:REWRITE THE-FLOOR-ABOVE))
 (118 118 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (118 118 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (116 4 (:REWRITE |(equal (if a b c) x)|))
 (114 114 (:TYPE-PRESCRIPTION SMAN::MP))
 (113 113 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (110 96 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (96 96 (:REWRITE INTEGERP-<-CONSTANT))
 (96 96 (:REWRITE CONSTANT-<-INTEGERP))
 (96 96 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
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 (96 96 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (96 96 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (96 96 (:REWRITE |(< c (- x))|))
 (96 96 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
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 (96 96 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (96 96 (:REWRITE |(< (/ x) (/ y))|))
 (96 96 (:REWRITE |(< (- x) c)|))
 (96 96 (:REWRITE |(< (- x) (- y))|))
 (89 89 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (85 85 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (85 85 (:REWRITE |(equal c (/ x))|))
 (85 85 (:REWRITE |(equal c (- x))|))
 (85 85 (:REWRITE |(equal (/ x) c)|))
 (85 85 (:REWRITE |(equal (/ x) (/ y))|))
 (85 85 (:REWRITE |(equal (- x) c)|))
 (85 85 (:REWRITE |(equal (- x) (- y))|))
 (82 74 (:REWRITE |(+ 0 x)|))
 (43 43 (:REWRITE |(< x (+ c/d y))|))
 (37 37 (:REWRITE |(< y (+ (- c) x))|))
 (35 35 (:REWRITE REDUCE-INTEGERP-+))
 (35 35 (:REWRITE INTEGERP-MINUS-X))
 (35 35 (:META META-INTEGERP-CORRECT))
 (33 33 (:REWRITE |(< 0 (* x y))|))
 (30 30 (:REWRITE |(< (* x y) 0)|))
 (27 27 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (27 27 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (27 27 (:REWRITE |(< 0 (/ x))|))
 (21 21 (:REWRITE DEFAULT-CAR))
 (20 20 (:REWRITE REDUCE-RATIONALP-+))
 (20 20 (:REWRITE REDUCE-RATIONALP-*))
 (20 20 (:REWRITE RATIONALP-MINUS-X))
 (20 20 (:META META-RATIONALP-CORRECT))
 (19 19 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (19 19 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (19 19 (:REWRITE |(< (/ x) 0)|))
 (17 17 (:REWRITE |(< (+ c/d x) y)|))
 (13 2 (:REWRITE |(+ x (if a b c))|))
 (3 3 (:REWRITE |(< x (if a b c))|))
 (2 2 (:REWRITE |(equal x (if a b c))|))
 )
(SMAN::NTHCDR-TO-END
 (374 14 (:REWRITE SMAN::NTHCDR-IS-LAST))
 (100 11 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (94 77 (:REWRITE DEFAULT-PLUS-2))
 (77 77 (:REWRITE DEFAULT-PLUS-1))
 (48 4 (:REWRITE |(+ y (+ x z))|))
 (38 38 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (38 38 (:REWRITE NORMALIZE-ADDENDS))
 (17 9 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (17 9 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (16 9 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (15 15 (:REWRITE DEFAULT-CDR))
 (14 9 (:REWRITE DEFAULT-LESS-THAN-2))
 (13 8 (:REWRITE SIMPLIFY-SUMS-<))
 (13 8 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (13 8 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (11 11 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (11 10 (:REWRITE |(+ 0 x)|))
 (9 9 (:REWRITE THE-FLOOR-BELOW))
 (9 9 (:REWRITE THE-FLOOR-ABOVE))
 (9 9 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (9 9 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (9 9 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (9 9 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (9 9 (:REWRITE INTEGERP-<-CONSTANT))
 (9 9 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (9 9 (:REWRITE DEFAULT-LESS-THAN-1))
 (9 9 (:REWRITE CONSTANT-<-INTEGERP))
 (9 9 (:REWRITE |(equal c (/ x))|))
 (9 9 (:REWRITE |(equal c (- x))|))
 (9 9 (:REWRITE |(equal (/ x) c)|))
 (9 9 (:REWRITE |(equal (/ x) (/ y))|))
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 (9 9 (:REWRITE |(< (/ x) (/ y))|))
 (9 9 (:REWRITE |(< (- x) c)|))
 (9 9 (:REWRITE |(< (- x) (- y))|))
 (3 3 (:REWRITE REDUCE-INTEGERP-+))
 (3 3 (:REWRITE INTEGERP-MINUS-X))
 (3 3 (:REWRITE |(equal (+ (- c) x) y)|))
 (3 3 (:META META-INTEGERP-CORRECT))
 (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 (if a b c))|))
 (2 2 (:REWRITE |(< x (+ c/d y))|))
 (2 2 (:REWRITE |(< 0 (/ x))|))
 (2 2 (:REWRITE |(< 0 (* x y))|))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (1 1 (:REWRITE |(equal x (if a b c))|))
 (1 1 (:REWRITE |(equal (if a b c) x)|))
 (1 1 (:REWRITE |(< (/ x) 0)|))
 (1 1 (:REWRITE |(< (+ c/d x) y)|))
 (1 1 (:REWRITE |(< (+ (- c) x) y)|))
 (1 1 (:REWRITE |(< (* x y) 0)|))
 )
(SMAN::NTH-AND-NTHCDR-MAKE-CONS
 (5546 123 (:REWRITE SMAN::NTHCDR-IS-LAST))
 (1850 46 (:REWRITE |(< (+ (- c) x) y)|))
 (1807 212 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (1746 1084 (:REWRITE DEFAULT-PLUS-2))
 (1240 168 (:REWRITE ACL2-NUMBERP-X))
 (1084 1084 (:REWRITE DEFAULT-PLUS-1))
 (728 212 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (700 212 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (684 684 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (684 684 (:REWRITE NORMALIZE-ADDENDS))
 (536 56 (:REWRITE RATIONALP-X))
 (420 223 (:REWRITE DEFAULT-LESS-THAN-2))
 (303 167 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (297 99 (:REWRITE ZP-OPEN))
 (296 167 (:REWRITE SIMPLIFY-SUMS-<))
 (295 167 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (253 253 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (223 223 (:REWRITE THE-FLOOR-BELOW))
 (223 223 (:REWRITE THE-FLOOR-ABOVE))
 (223 223 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (223 223 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (223 223 (:REWRITE DEFAULT-LESS-THAN-1))
 (212 212 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (212 212 (:REWRITE |(equal c (/ x))|))
 (212 212 (:REWRITE |(equal c (- x))|))
 (212 212 (:REWRITE |(equal (/ x) c)|))
 (212 212 (:REWRITE |(equal (/ x) (/ y))|))
 (212 212 (:REWRITE |(equal (- x) c)|))
 (212 212 (:REWRITE |(equal (- x) (- y))|))
 (183 167 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (167 167 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (167 167 (:REWRITE INTEGERP-<-CONSTANT))
 (167 167 (:REWRITE CONSTANT-<-INTEGERP))
 (167 167 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
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 (167 167 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
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 (167 167 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
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 (167 167 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
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 (167 167 (:REWRITE |(< (/ x) (/ y))|))
 (167 167 (:REWRITE |(< (- x) c)|))
 (167 167 (:REWRITE |(< (- x) (- y))|))
 (103 103 (:REWRITE |(< x (+ c/d y))|))
 (91 91 (:REWRITE |(< y (+ (- c) x))|))
 (74 74 (:REWRITE REDUCE-INTEGERP-+))
 (74 74 (:REWRITE INTEGERP-MINUS-X))
 (74 74 (:META META-INTEGERP-CORRECT))
 (61 61 (:REWRITE DEFAULT-CAR))
 (56 56 (:REWRITE REDUCE-RATIONALP-+))
 (56 56 (:REWRITE REDUCE-RATIONALP-*))
 (56 56 (:REWRITE RATIONALP-MINUS-X))
 (56 56 (:META META-RATIONALP-CORRECT))
 (54 18 (:LINEAR SMAN::BYTEP-NTH-MP))
 (48 48 (:REWRITE CDR-CONS))
 (46 46 (:REWRITE |(< (+ c/d x) y)|))
 (45 45 (:REWRITE |(equal (+ (- c) x) y)|))
 (20 20 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (20 20 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (20 20 (:REWRITE |(< (/ x) 0)|))
 (20 20 (:REWRITE |(< (* x y) 0)|))
 (18 18 (:REWRITE |(< 0 (* x y))|))
 (12 12 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (12 12 (:REWRITE CAR-CONS))
 (8 8 (:REWRITE |(< x (if a b c))|))
 (7 7 (:REWRITE |(equal x (if a b c))|))
 (7 7 (:REWRITE |(equal (if a b c) x)|))
 (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))|))
 (1 1 (:REWRITE |(+ x (if a b c))|))
 )
(SMAN::MP-IMPLIES-TRUE-LISTP
 (6 6 (:REWRITE THE-FLOOR-BELOW))
 (6 6 (:REWRITE THE-FLOOR-ABOVE))
 (6 6 (:REWRITE SIMPLIFY-SUMS-<))
 (6 6 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (6 6 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (6 6 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (6 6 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (6 6 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (6 6 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (6 6 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (6 6 (:REWRITE INTEGERP-<-CONSTANT))
 (6 6 (:REWRITE DEFAULT-LESS-THAN-2))
 (6 6 (:REWRITE DEFAULT-LESS-THAN-1))
 (6 6 (:REWRITE CONSTANT-<-INTEGERP))
 (6 6 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (6 6 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (6 6 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (6 6 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (6 6 (:REWRITE |(< c (- x))|))
 (6 6 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (6 6 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (6 6 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (6 6 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (6 6 (:REWRITE |(< (/ x) (/ y))|))
 (6 6 (:REWRITE |(< (- x) c)|))
 (6 6 (:REWRITE |(< (- x) (- y))|))
 (4 4 (:REWRITE DEFAULT-CDR))
 (4 2 (:DEFINITION TRUE-LISTP))
 (3 3 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (3 3 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (3 3 (:REWRITE REDUCE-INTEGERP-+))
 (3 3 (:REWRITE INTEGERP-MINUS-X))
 (3 3 (:REWRITE DEFAULT-CAR))
 (3 3 (:REWRITE |(< (/ x) 0)|))
 (3 3 (:REWRITE |(< (* x y) 0)|))
 (3 3 (:META META-INTEGERP-CORRECT))
 )
(SMAN::EQUAL-LEN-0
 (9 5 (:REWRITE DEFAULT-PLUS-2))
 (8 4 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (8 4 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (5 5 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (5 5 (:REWRITE NORMALIZE-ADDENDS))
 (5 5 (:REWRITE DEFAULT-PLUS-1))
 (4 4 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (4 4 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (4 4 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (4 4 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (4 4 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (4 4 (:REWRITE DEFAULT-CDR))
 (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))|))
 )
(SMAN::WEAK-ML
 (6 3 (:TYPE-PRESCRIPTION SMAN::NATP-NTH-MP))
 (3 3 (:TYPE-PRESCRIPTION SMAN::MP))
 )
(SMAN::WEAK-STP
 (12 6 (:TYPE-PRESCRIPTION SMAN::NATP-NTH-MP))
 (6 6 (:TYPE-PRESCRIPTION SMAN::MP))
 )
(SMAN::DIVERGENT-ADDR
 (330 165 (:TYPE-PRESCRIPTION SMAN::NATP-MI))
 (272 72 (:REWRITE DEFAULT-LESS-THAN-1))
 (225 159 (:REWRITE DEFAULT-PLUS-1))
 (189 159 (:REWRITE DEFAULT-PLUS-2))
 (167 167 (:TYPE-PRESCRIPTION SMAN::STP))
 (84 72 (:REWRITE DEFAULT-LESS-THAN-2))
 (84 12 (:DEFINITION LEN))
 (72 72 (:REWRITE THE-FLOOR-BELOW))
 (72 72 (:REWRITE THE-FLOOR-ABOVE))
 (72 48 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (56 2 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (54 54 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (54 54 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (54 54 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (54 54 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (54 54 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (54 54 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
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 (54 54 (:REWRITE |(< c (- x))|))
 (54 54 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
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 (54 54 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (54 54 (:REWRITE |(< (/ x) (/ y))|))
 (54 54 (:REWRITE |(< (- x) (- y))|))
 (50 50 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (50 50 (:REWRITE INTEGERP-<-CONSTANT))
 (50 50 (:REWRITE CONSTANT-<-INTEGERP))
 (46 6 (:REWRITE ACL2-NUMBERP-X))
 (38 38 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (36 36 (:REWRITE DEFAULT-CDR))
 (25 25 (:REWRITE DEFAULT-MINUS))
 (24 24 (:REWRITE |(< (/ x) 0)|))
 (24 24 (:REWRITE |(< (* x y) 0)|))
 (20 20 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (20 2 (:REWRITE RATIONALP-X))
 (18 18 (:REWRITE |(+ c (+ d x))|))
 (16 16 (:REWRITE |(< (+ c/d x) y)|))
 (16 16 (:REWRITE |(< (+ (- c) x) y)|))
 (16 2 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (16 2 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (12 12 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (12 12 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (12 12 (:REWRITE DEFAULT-CAR))
 (12 12 (:REWRITE |(< y (+ (- c) x))|))
 (12 12 (:REWRITE |(< x (+ c/d y))|))
 (6 6 (:REWRITE FOLD-CONSTS-IN-+))
 (6 6 (:REWRITE |(< 0 (/ x))|))
 (6 6 (:REWRITE |(< 0 (* x y))|))
 (4 4 (:REWRITE REDUCE-INTEGERP-+))
 (4 4 (:REWRITE INTEGERP-MINUS-X))
 (4 4 (:META META-INTEGERP-CORRECT))
 (3 1 (:LINEAR SMAN::BYTEP-MI))
 (2 2 (:REWRITE REDUCE-RATIONALP-+))
 (2 2 (:REWRITE REDUCE-RATIONALP-*))
 (2 2 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (2 2 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (2 2 (:REWRITE RATIONALP-MINUS-X))
 (2 2 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (2 2 (:REWRITE |(equal c (/ x))|))
 (2 2 (:REWRITE |(equal c (- x))|))
 (2 2 (:REWRITE |(equal (/ x) c)|))
 (2 2 (:REWRITE |(equal (/ x) (/ y))|))
 (2 2 (:REWRITE |(equal (- x) c)|))
 (2 2 (:REWRITE |(equal (- x) (- y))|))
 (2 2 (:META META-RATIONALP-CORRECT))
 )
(SMAN::DIVERGENT-ADDR-LEGAL
 (2262 1131 (:TYPE-PRESCRIPTION SMAN::NATP-MI))
 (1171 1171 (:REWRITE DEFAULT-CDR))
 (1133 1133 (:TYPE-PRESCRIPTION SMAN::STP))
 (834 424 (:REWRITE DEFAULT-PLUS-2))
 (600 68 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (424 424 (:REWRITE DEFAULT-PLUS-1))
 (414 54 (:REWRITE ACL2-NUMBERP-X))
 (384 384 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (384 384 (:REWRITE NORMALIZE-ADDENDS))
 (240 68 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (235 184 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (235 184 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (229 201 (:REWRITE DEFAULT-LESS-THAN-2))
 (225 201 (:REWRITE DEFAULT-LESS-THAN-1))
 (207 184 (:REWRITE SIMPLIFY-SUMS-<))
 (201 201 (:REWRITE THE-FLOOR-BELOW))
 (201 201 (:REWRITE THE-FLOOR-ABOVE))
 (194 194 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (194 194 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (194 194 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (194 194 (:REWRITE INTEGERP-<-CONSTANT))
 (194 194 (:REWRITE CONSTANT-<-INTEGERP))
 (194 194 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (194 194 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (194 194 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (194 194 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (194 194 (:REWRITE |(< c (- x))|))
 (194 194 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (194 194 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (194 194 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (194 194 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (194 194 (:REWRITE |(< (/ x) (/ y))|))
 (194 194 (:REWRITE |(< (- x) c)|))
 (194 194 (:REWRITE |(< (- x) (- y))|))
 (194 68 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (191 191 (:REWRITE DEFAULT-CAR))
 (184 184 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (180 18 (:REWRITE RATIONALP-X))
 (72 72 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (68 68 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (68 68 (:REWRITE |(equal c (/ x))|))
 (68 68 (:REWRITE |(equal c (- x))|))
 (68 68 (:REWRITE |(equal (/ x) c)|))
 (68 68 (:REWRITE |(equal (/ x) (/ y))|))
 (68 68 (:REWRITE |(equal (- x) c)|))
 (68 68 (:REWRITE |(equal (- x) (- y))|))
 (65 65 (:REWRITE |(< 0 (/ x))|))
 (65 65 (:REWRITE |(< 0 (* x y))|))
 (55 55 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (55 55 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (36 36 (:REWRITE REDUCE-INTEGERP-+))
 (36 36 (:REWRITE INTEGERP-MINUS-X))
 (36 36 (:META META-INTEGERP-CORRECT))
 (30 30 (:REWRITE |(equal (+ (- c) x) y)|))
 (18 18 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (18 18 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (18 18 (:REWRITE REDUCE-RATIONALP-+))
 (18 18 (:REWRITE REDUCE-RATIONALP-*))
 (18 18 (:REWRITE RATIONALP-MINUS-X))
 (18 18 (:REWRITE |(< (/ x) 0)|))
 (18 18 (:REWRITE |(< (* x y) 0)|))
 (18 18 (:META META-RATIONALP-CORRECT))
 (15 15 (:REWRITE CAR-CONS))
 (8 8 (:REWRITE |(equal x (if a b c))|))
 (8 8 (:REWRITE |(equal (if a b c) x)|))
 (4 4 (:REWRITE |(+ x (if a b c))|))
 (3 1 (:LINEAR SMAN::BYTEP-MI))
 )
(SMAN::NO-DIVERGENCE-IMPLIES-M1=M2
 (2988 96 (:REWRITE SMAN::NTHCDR-IS-LAST))
 (2098 231 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (1934 48 (:REWRITE |(< (+ (- c) x) y)|))
 (1812 184 (:REWRITE ZP-OPEN))
 (1605 1605 (:REWRITE DEFAULT-CDR))
 (1569 995 (:REWRITE DEFAULT-PLUS-2))
 (1448 174 (:REWRITE ACL2-NUMBERP-X))
 (995 995 (:REWRITE DEFAULT-PLUS-1))
 (824 231 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (820 820 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (820 820 (:REWRITE NORMALIZE-ADDENDS))
 (793 231 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (637 58 (:REWRITE RATIONALP-X))
 (586 409 (:REWRITE DEFAULT-LESS-THAN-2))
 (460 460 (:REWRITE DEFAULT-CAR))
 (409 409 (:REWRITE THE-FLOOR-BELOW))
 (409 409 (:REWRITE THE-FLOOR-ABOVE))
 (409 409 (:REWRITE DEFAULT-LESS-THAN-1))
 (407 407 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (407 407 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (407 407 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (381 260 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (322 260 (:REWRITE SIMPLIFY-SUMS-<))
 (314 314 (:REWRITE INTEGERP-<-CONSTANT))
 (314 314 (:REWRITE CONSTANT-<-INTEGERP))
 (314 314 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (314 314 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (314 314 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (314 314 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (314 314 (:REWRITE |(< c (- x))|))
 (314 314 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (314 314 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (314 314 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (314 314 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (314 314 (:REWRITE |(< (/ x) (/ y))|))
 (314 314 (:REWRITE |(< (- x) c)|))
 (314 314 (:REWRITE |(< (- x) (- y))|))
 (287 287 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (235 235 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (231 231 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (231 231 (:REWRITE |(equal c (/ x))|))
 (231 231 (:REWRITE |(equal c (- x))|))
 (231 231 (:REWRITE |(equal (/ x) c)|))
 (231 231 (:REWRITE |(equal (/ x) (/ y))|))
 (231 231 (:REWRITE |(equal (- x) c)|))
 (231 231 (:REWRITE |(equal (- x) (- y))|))
 (188 188 (:REWRITE DEFAULT-TIMES-2))
 (188 188 (:REWRITE DEFAULT-TIMES-1))
 (125 125 (:REWRITE |(< 0 (* x y))|))
 (120 2 (:REWRITE |(< x (if a b c))|))
 (84 84 (:REWRITE CAR-CONS))
 (80 80 (:REWRITE REDUCE-INTEGERP-+))
 (80 80 (:REWRITE INTEGERP-MINUS-X))
 (80 80 (:META META-INTEGERP-CORRECT))
 (78 78 (:REWRITE |(< 0 (/ x))|))
 (71 71 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (71 71 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (69 23 (:LINEAR SMAN::BYTEP-NTH-MP))
 (67 67 (:REWRITE |(equal (+ (- c) x) y)|))
 (58 58 (:REWRITE REDUCE-RATIONALP-+))
 (58 58 (:REWRITE REDUCE-RATIONALP-*))
 (58 58 (:REWRITE RATIONALP-MINUS-X))
 (58 58 (:META META-RATIONALP-CORRECT))
 (48 48 (:REWRITE |(< (+ c/d x) y)|))
 (47 47 (:REWRITE |(<= (/ x) y) with (< x 0)|))
 (47 47 (:REWRITE |(<= (/ x) y) with (< 0 x)|))
 (47 47 (:REWRITE |(< x (/ y)) with (< y 0)|))
 (46 46 (:REWRITE |(< y (+ (- c) x))|))
 (46 46 (:REWRITE |(< x (+ c/d y))|))
 (22 22 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (22 22 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (22 22 (:REWRITE |(< (/ x) 0)|))
 (22 22 (:REWRITE |(< (* x y) 0)|))
 (4 4 (:REWRITE |(equal x (if a b c))|))
 (4 4 (:REWRITE |(equal (if a b c) x)|))
 (2 2 (:REWRITE |(+ x (if a b c))|))
 )
(SMAN::NO-DIVERGENCE-IMPLIES-ST1=ST2
 (638 72 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (511 511 (:REWRITE DEFAULT-CDR))
 (480 72 (:REWRITE ACL2-NUMBERP-X))
 (240 120 (:REWRITE DEFAULT-PLUS-2))
 (230 72 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (208 208 (:REWRITE DEFAULT-CAR))
 (206 72 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (204 24 (:REWRITE RATIONALP-X))
 (120 120 (:REWRITE DEFAULT-PLUS-1))
 (101 101 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (101 101 (:REWRITE NORMALIZE-ADDENDS))
 (76 76 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (72 72 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (72 72 (:REWRITE |(equal c (/ x))|))
 (72 72 (:REWRITE |(equal c (- x))|))
 (72 72 (:REWRITE |(equal (/ x) c)|))
 (72 72 (:REWRITE |(equal (/ x) (/ y))|))
 (72 72 (:REWRITE |(equal (- x) c)|))
 (72 72 (:REWRITE |(equal (- x) (- y))|))
 (45 15 (:LINEAR SMAN::BYTEP-MI))
 (42 2 (:REWRITE SMAN::NTHCDR-IS-LAST))
 (27 18 (:REWRITE DEFAULT-LESS-THAN-2))
 (24 24 (:REWRITE REDUCE-RATIONALP-+))
 (24 24 (:REWRITE REDUCE-RATIONALP-*))
 (24 24 (:REWRITE REDUCE-INTEGERP-+))
 (24 24 (:REWRITE RATIONALP-MINUS-X))
 (24 24 (:REWRITE INTEGERP-MINUS-X))
 (24 24 (:META META-RATIONALP-CORRECT))
 (24 24 (:META META-INTEGERP-CORRECT))
 (24 15 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (24 15 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (20 10 (:TYPE-PRESCRIPTION SMAN::NATP-I))
 (18 18 (:REWRITE THE-FLOOR-BELOW))
 (18 18 (:REWRITE THE-FLOOR-ABOVE))
 (18 18 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (18 18 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (18 18 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (18 18 (:REWRITE INTEGERP-<-CONSTANT))
 (18 18 (:REWRITE DEFAULT-LESS-THAN-1))
 (18 18 (:REWRITE CONSTANT-<-INTEGERP))
 (18 18 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (18 18 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (18 18 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (18 18 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (18 18 (:REWRITE |(< c (- x))|))
 (18 18 (:REWRITE |(< 0 (/ x))|))
 (18 18 (:REWRITE |(< 0 (* x y))|))
 (18 18 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (18 18 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (18 18 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (18 18 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (18 18 (:REWRITE |(< (/ x) (/ y))|))
 (18 18 (:REWRITE |(< (- x) c)|))
 (18 18 (:REWRITE |(< (- x) (- y))|))
 (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 SIMPLIFY-SUMS-<))
 (15 15 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (9 9 (:REWRITE |(equal (+ (- c) x) y)|))
 (8 4 (:TYPE-PRESCRIPTION SMAN::NATP-NTH-MP))
 (5 5 (:REWRITE |(equal x (if a b c))|))
 (5 5 (:REWRITE |(equal (if a b c) x)|))
 (4 4 (:TYPE-PRESCRIPTION SMAN::MP))
 (2 2 (:REWRITE SMAN::NTHCDR-TO-END))
 (2 2 (:REWRITE |(+ x (if a b c))|))
 )
(SMAN::MI-!R-OVERLAP
 (319747 94 (:REWRITE SMAN::UNNECESSARY-MOD))
 (298328 298328 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (298328 298328 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (298328 298328 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (297426 13 (:REWRITE MOD-X-Y-=-X+Y . 1))
 (283874 4001 (:REWRITE THE-FLOOR-ABOVE))
 (276850 40 (:REWRITE FLOOR-=-X/Y . 4))
 (252709 13 (:REWRITE MOD-X-Y-=-X-Y . 1))
 (206734 92 (:REWRITE MOD-ZERO . 4))
 (194896 194 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (151193 89 (:REWRITE MOD-X-Y-=-X . 3))
 (150996 92 (:REWRITE MOD-X-Y-=-X-Y . 2))
 (148346 1112 (:REWRITE SMAN::UNNECESSARY-FLOOR))
 (146788 92 (:REWRITE MOD-X-Y-=-X+Y . 2))
 (143751 76 (:REWRITE |(equal (+ (- c) x) y)|))
 (141158 89 (:REWRITE MOD-X-Y-=-X . 4))
 (134779 13247 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (133063 13247 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
 (133063 13247 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 1))
 (133063 13247 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
 (132280 15542 (:REWRITE DEFAULT-PLUS-2))
 (129202 12818 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 1))
 (120465 15542 (:REWRITE DEFAULT-PLUS-1))
 (119637 26145 (:REWRITE DEFAULT-TIMES-1))
 (106350 239 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (103591 26145 (:REWRITE DEFAULT-TIMES-2))
 (95121 882 (:REWRITE FLOOR-X-Y-=-1 . 2))
 (93649 255 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (92817 882 (:REWRITE FLOOR-ZERO . 3))
 (79812 882 (:REWRITE FLOOR-X-Y-=--1 . 2))
 (78887 882 (:REWRITE FLOOR-ZERO . 4))
 (76232 1112 (:REWRITE DEFAULT-FLOOR-RATIO))
 (73185 13247 (:TYPE-PRESCRIPTION FLOOR-ZERO . 3))
 (73185 13247 (:TYPE-PRESCRIPTION FLOOR-ZERO . 1))
 (73185 13247 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 3))
 (73185 13247 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 2))
 (73185 13247 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 3))
 (73185 13247 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 2))
 (73185 13247 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 3))
 (73185 13247 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 2))
 (73185 13247 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 3))
 (73185 13247 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
 (73049 882 (:REWRITE FLOOR-ZERO . 5))
 (71332 930 (:REWRITE FLOOR-=-X/Y . 2))
 (68422 12728 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (56786 484 (:LINEAR LINEAR-FLOOR-BOUNDS-2))
 (42902 14791 (:REWRITE DEFAULT-MINUS))
 (39656 484 (:LINEAR LINEAR-FLOOR-BOUNDS-3))
 (36427 212 (:REWRITE |(equal c (- x))|))
 (34815 3486 (:REWRITE DEFAULT-DIVIDE))
 (33214 33214 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (33214 33214 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (33214 33214 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (33214 33214 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (30671 3476 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (28841 3570 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (26521 142 (:REWRITE |(integerp (- x))|))
 (20946 882 (:REWRITE FLOOR-ZERO . 2))
 (20946 882 (:REWRITE FLOOR-X-Y-=-1 . 3))
 (20946 882 (:REWRITE FLOOR-X-Y-=--1 . 3))
 (20500 3809 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (18329 1 (:REWRITE |(logand (if a b c) x)|))
 (17445 4001 (:REWRITE THE-FLOOR-BELOW))
 (16683 877 (:REWRITE FLOOR-CANCEL-*-CONST))
 (16160 94 (:REWRITE DEFAULT-MOD-RATIO))
 (15918 1112 (:REWRITE DEFAULT-FLOOR-1))
 (15689 3818 (:REWRITE DEFAULT-LESS-THAN-1))
 (15348 877 (:REWRITE FLOOR-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (15337 866 (:REWRITE |(floor (* x (/ y)) z) not rewriting-goal-literal|))
 (13681 866 (:REWRITE |(floor x (* y (/ z))) not rewriting-goal-literal|))
 (13090 3818 (:REWRITE DEFAULT-LESS-THAN-2))
 (12728 12728 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (12728 12728 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (12728 12728 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (8681 89 (:REWRITE |(mod (+ x (mod a b)) y)|))
 (8681 89 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
 (8609 89 (:REWRITE MOD-X-Y-=-X . 2))
 (7088 1276 (:TYPE-PRESCRIPTION MOD-ZERO . 1))
 (6988 1276 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (6791 1112 (:REWRITE DEFAULT-FLOOR-2))
 (5908 14 (:LINEAR MOD-BOUNDS-3))
 (5594 1276 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
 (4707 92 (:REWRITE MOD-X-Y-=-X-Y . 3))
 (4707 92 (:REWRITE MOD-X-Y-=-X+Y . 3))
 (4344 83 (:REWRITE MOD-CANCEL-*-CONST))
 (4249 94 (:REWRITE DEFAULT-MOD-1))
 (4243 3753 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (3578 3578 (:REWRITE INTEGERP-<-CONSTANT))
 (3578 3578 (:REWRITE CONSTANT-<-INTEGERP))
 (3578 3578 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (3578 3578 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
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 (3578 3578 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (3578 3578 (:REWRITE |(< c (- x))|))
 (3578 3578 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
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 (3578 3578 (:REWRITE |(< (/ x) (/ y))|))
 (3578 3578 (:REWRITE |(< (- x) c)|))
 (3578 3578 (:REWRITE |(< (- x) (- y))|))
 (3211 307 (:LINEAR EXPT-<=-1-TWO))
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 (2717 69 (:REWRITE |(mod (* x (/ y)) z) rewriting-goal-literal|))
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 (2500 44 (:REWRITE FLOOR-POSITIVE . 2))
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 (2428 2428 (:META META-INTEGERP-CORRECT))
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 (2258 2258 (:REWRITE |(< (* x y) 0)|))
 (2204 28 (:LINEAR MOD-BOUNDS-2))
 (2193 17 (:REWRITE |(integerp (expt x n))|))
 (2162 2162 (:REWRITE |(< (/ x) 0)|))
 (2159 2159 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (2159 2159 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (2092 82 (:REWRITE |(floor (floor x y) z)| . 5))
 (1904 176 (:REWRITE |(< (+ (- c) x) y)|))
 (1580 35 (:REWRITE |(* c (* d x))|))
 (1474 866 (:REWRITE |(floor (* x (/ y)) z) rewriting-goal-literal|))
 (1450 40 (:REWRITE |(equal (floor (+ x y) z) x)|))
 (1389 44 (:REWRITE FLOOR-POSITIVE . 4))
 (1389 44 (:REWRITE FLOOR-NONPOSITIVE . 3))
 (1282 866 (:REWRITE |(floor x (* y (/ z))) rewriting-goal-literal|))
 (1276 1276 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (1276 1276 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (1258 763 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
 (1237 1237 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
 (1237 1237 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (1065 1065 (:REWRITE DEFAULT-EXPT-2))
 (1065 1065 (:REWRITE DEFAULT-EXPT-1))
 (1065 1065 (:REWRITE |(expt 1/c n)|))
 (1065 1065 (:REWRITE |(expt (- x) n)|))
 (1053 1053 (:TYPE-PRESCRIPTION ABS))
 (980 236 (:REWRITE |(< y (+ (- c) x))|))
 (866 866 (:REWRITE |(floor x (- y))| . 2))
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 (866 866 (:REWRITE |(floor (- x) y)| . 2))
 (866 866 (:REWRITE |(floor (- x) y)| . 1))
 (770 5 (:REWRITE |(* -1 x)|))
 (733 733 (:REWRITE FOLD-CONSTS-IN-+))
 (683 65 (:REWRITE ACL2-NUMBERP-X))
 (622 82 (:REWRITE |(floor (floor x y) z)| . 4))
 (622 82 (:REWRITE |(floor (floor x y) z)| . 3))
 (622 82 (:REWRITE |(floor (floor x y) z)| . 2))
 (621 21 (:REWRITE SMAN::MI-!R-))
 (614 614 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
 (614 614 (:LINEAR EXPT-IS-WEAKLY-INCREASING-FOR-BASE->-1))
 (614 614 (:LINEAR EXPT-IS-WEAKLY-DECREASING-FOR-POS-BASE-<-1))
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 (614 614 (:LINEAR EXPT-IS-DECREASING-FOR-POS-BASE-<-1))
 (592 592 (:REWRITE |(< 0 (* x y))|))
 (570 5 (:REWRITE |(floor (+ x r) i)|))
 (537 537 (:REWRITE |(< 0 (/ x))|))
 (536 536 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (536 536 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (427 31 (:REWRITE ZP-OPEN))
 (335 2 (:REWRITE |(* (if a b c) x)|))
 (309 24 (:REWRITE RATIONALP-X))
 (307 307 (:LINEAR EXPT-LINEAR-UPPER-<=))
 (307 307 (:LINEAR EXPT-LINEAR-UPPER-<))
 (307 307 (:LINEAR EXPT-LINEAR-LOWER-<=))
 (307 307 (:LINEAR EXPT-LINEAR-LOWER-<))
 (307 307 (:LINEAR EXPT->=-1-TWO))
 (307 307 (:LINEAR EXPT->-1-TWO))
 (307 307 (:LINEAR EXPT-<=-1-ONE))
 (307 307 (:LINEAR EXPT-<-1-ONE))
 (292 12 (:REWRITE |(equal (mod (+ x y) z) x)|))
 (290 290 (:REWRITE |(< x (+ c/d y))|))
 (252 55 (:REWRITE SMAN::!R-R))
 (218 218 (:REWRITE |(< (+ c/d x) y)|))
 (216 216 (:REWRITE |(equal c (/ x))|))
 (216 216 (:REWRITE |(equal (/ x) (/ y))|))
 (216 216 (:REWRITE |(equal (- x) (- y))|))
 (207 207 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (207 207 (:REWRITE |(equal (- x) c)|))
 (201 31 (:LINEAR SMAN::BYTEP-MI))
 (199 9 (:REWRITE |(< (* (/ x) y) 1) with (< 0 x)|))
 (189 69 (:REWRITE |(mod x (* y (/ z))) rewriting-goal-literal|))
 (166 94 (:REWRITE DEFAULT-MOD-2))
 (135 38 (:REWRITE SMAN::!MI-MI))
 (129 38 (:REWRITE SMAN::STP-!R))
 (120 120 (:TYPE-PRESCRIPTION |(< (logand x y) 0)| . 1))
 (114 82 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (108 36 (:REWRITE SMAN::STP-!MI))
 (106 106 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (104 9 (:REWRITE |(< (* (/ x) y) 1) with (< x 0)|))
 (101 69 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
 (69 69 (:REWRITE |(mod x (- y))| . 3))
 (69 69 (:REWRITE |(mod x (- y))| . 2))
 (69 69 (:REWRITE |(mod x (- y))| . 1))
 (69 69 (:REWRITE |(mod x (* y (/ z))) not rewriting-goal-literal|))
 (69 69 (:REWRITE |(mod (- x) y)| . 3))
 (69 69 (:REWRITE |(mod (- x) y)| . 2))
 (69 69 (:REWRITE |(mod (- x) y)| . 1))
 (61 3 (:REWRITE |(<= (/ x) y) with (< 0 x)|))
 (44 44 (:REWRITE FLOOR-POSITIVE . 1))
 (35 35 (:TYPE-PRESCRIPTION COLLECT-*))
 (28 28 (:TYPE-PRESCRIPTION RATIONALP-MOD))
 (26 1 (:REWRITE MOD-ZERO . 1))
 (25 25 (:REWRITE INTEGERP-+-REDUCE-CONSTANT))
 (24 24 (:REWRITE REDUCE-RATIONALP-+))
 (24 24 (:REWRITE REDUCE-RATIONALP-*))
 (24 24 (:REWRITE RATIONALP-MINUS-X))
 (24 24 (:META META-RATIONALP-CORRECT))
 (22 22 (:REWRITE FLOOR-ZERO . 1))
 (22 22 (:REWRITE |(mod (floor x y) z)| . 5))
 (22 22 (:REWRITE |(mod (floor x y) z)| . 4))
 (22 22 (:REWRITE |(mod (floor x y) z)| . 3))
 (22 22 (:REWRITE |(mod (floor x y) z)| . 2))
 (17 17 (:REWRITE |(equal (* x y) 0)|))
 (10 5 (:REWRITE COLLECT-*-PROBLEM-FINDER))
 (5 5 (:TYPE-PRESCRIPTION FMT-TO-COMMENT-WINDOW))
 (5 5 (:REWRITE FLOOR-X-Y-=--1 . 1))
 (5 1 (:REWRITE MOD-ZERO . 2))
 (4 4 (:REWRITE |(not (equal x (/ y)))|))
 (4 4 (:REWRITE |(equal x (/ y))|))
 (3 3 (:REWRITE FLOOR-X-Y-=-1 . 1))
 (3 3 (:REWRITE |(<= (/ x) y) with (< x 0)|))
 (3 3 (:REWRITE |(< x (/ y)) with (< y 0)|))
 (1 1 (:REWRITE NORMALIZE-TERMS-SUCH-AS-1/AX+BX))
 )
(SMAN::ONE-BYTE-READ
 (26349 28 (:LINEAR LINEAR-FLOOR-BOUNDS-1))
 (11410 20 (:REWRITE MOD-ZERO . 4))
 (11161 241 (:REWRITE THE-FLOOR-ABOVE))
 (11060 21 (:REWRITE SMAN::UNNECESSARY-MOD))
 (9938 1728 (:REWRITE DEFAULT-TIMES-2))
 (9485 20 (:REWRITE MOD-X-Y-=-X . 3))
 (9454 20 (:REWRITE MOD-X-Y-=-X-Y . 2))
 (9065 20 (:REWRITE MOD-X-Y-=-X+Y . 2))
 (9006 20 (:REWRITE MOD-X-Y-=-X . 4))
 (8986 8986 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (8986 8986 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (8986 8986 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (8946 8946 (:TYPE-PRESCRIPTION INTEGERP-/-EXPT-1))
 (6763 1573 (:REWRITE DEFAULT-PLUS-2))
 (6516 6516 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (6516 6516 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (6516 6516 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (6516 6516 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (6361 1728 (:REWRITE DEFAULT-TIMES-1))
 (6129 1573 (:REWRITE DEFAULT-PLUS-1))
 (4552 352 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (4552 352 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
 (4552 352 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 1))
 (4552 352 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 1))
 (4552 352 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
 (4189 20 (:REWRITE MOD-ZERO . 3))
 (3773 4 (:REWRITE MOD-X-Y-=-X-Y . 1))
 (3755 37 (:REWRITE CANCEL-FLOOR-+))
 (3198 21 (:REWRITE DEFAULT-MOD-RATIO))
 (2823 21 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (2544 387 (:TYPE-PRESCRIPTION MOD-ZERO . 1))
 (2508 387 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (2464 352 (:TYPE-PRESCRIPTION FLOOR-ZERO . 3))
 (2464 352 (:TYPE-PRESCRIPTION FLOOR-ZERO . 1))
 (2464 352 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 3))
 (2464 352 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 2))
 (2464 352 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 3))
 (2464 352 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 2))
 (2464 352 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 3))
 (2464 352 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 2))
 (2464 352 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 3))
 (2464 352 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
 (2438 156 (:REWRITE INTEGERP-MINUS-X))
 (2432 11 (:REWRITE |(equal (+ (- c) x) y)|))
 (2407 4 (:REWRITE MOD-X-Y-=-X+Y . 1))
 (2279 37 (:REWRITE FLOOR-X-Y-=-1 . 2))
 (2123 37 (:REWRITE FLOOR-ZERO . 3))
 (2080 738 (:REWRITE DEFAULT-MINUS))
 (2010 38 (:REWRITE DEFAULT-FLOOR-RATIO))
 (2003 37 (:REWRITE FLOOR-=-X/Y . 2))
 (1891 190 (:REWRITE DEFAULT-DIVIDE))
 (1811 35 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (1806 14 (:LINEAR LINEAR-FLOOR-BOUNDS-3))
 (1800 206 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (1563 387 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
 (1426 35 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (1094 226 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (1037 37 (:REWRITE FLOOR-X-Y-=--1 . 2))
 (970 20 (:REWRITE |(mod (+ x (mod a b)) y)|))
 (970 20 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
 (934 20 (:REWRITE MOD-X-Y-=-X . 2))
 (930 30 (:REWRITE |(integerp (- x))|))
 (925 37 (:REWRITE FLOOR-ZERO . 2))
 (925 37 (:REWRITE FLOOR-X-Y-=-1 . 3))
 (925 37 (:REWRITE FLOOR-X-Y-=--1 . 3))
 (904 347 (:TYPE-PRESCRIPTION SMAN::NATP-MI))
 (904 4 (:LINEAR MOD-BOUNDS-3))
 (879 241 (:REWRITE THE-FLOOR-BELOW))
 (816 233 (:REWRITE DEFAULT-LESS-THAN-2))
 (757 37 (:REWRITE FLOOR-ZERO . 5))
 (757 37 (:REWRITE FLOOR-ZERO . 4))
 (647 233 (:REWRITE DEFAULT-LESS-THAN-1))
 (601 601 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (559 232 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (547 37 (:REWRITE FLOOR-CANCEL-*-CONST))
 (531 20 (:REWRITE MOD-X-Y-=-X-Y . 3))
 (531 20 (:REWRITE MOD-X-Y-=-X+Y . 3))
 (494 19 (:REWRITE MOD-CANCEL-*-CONST))
 (476 197 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
 (476 197 (:TYPE-PRESCRIPTION INTEGERP-MOD-1))
 (472 37 (:REWRITE FLOOR-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (472 37 (:REWRITE |(floor x (* y (/ z))) not rewriting-goal-literal|))
 (472 37 (:REWRITE |(floor (* x (/ y)) z) not rewriting-goal-literal|))
 (460 4 (:REWRITE DEFAULT-LOGAND-2))
 (424 21 (:REWRITE DEFAULT-MOD-1))
 (402 14 (:LINEAR LINEAR-FLOOR-BOUNDS-2))
 (387 387 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (387 387 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (386 386 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
 (386 386 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (383 20 (:REWRITE ODD-EXPT-THM))
 (380 38 (:REWRITE DEFAULT-FLOOR-2))
 (379 379 (:TYPE-PRESCRIPTION SMAN::STP))
 (308 38 (:REWRITE SMAN::UNNECESSARY-FLOOR))
 (288 288 (:REWRITE DEFAULT-EXPT-2))
 (288 288 (:REWRITE DEFAULT-EXPT-1))
 (288 288 (:REWRITE |(expt 1/c n)|))
 (288 288 (:REWRITE |(expt (- x) n)|))
 (232 232 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (226 226 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (226 226 (:REWRITE INTEGERP-<-CONSTANT))
 (226 226 (:REWRITE CONSTANT-<-INTEGERP))
 (226 226 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (226 226 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (226 226 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (226 226 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (226 226 (:REWRITE |(< c (- x))|))
 (226 226 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (226 226 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (226 226 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (226 226 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (226 226 (:REWRITE |(< (/ x) (/ y))|))
 (226 226 (:REWRITE |(< (- x) c)|))
 (226 226 (:REWRITE |(< (- x) (- y))|))
 (210 210 (:TYPE-PRESCRIPTION SMAN::!R))
 (197 197 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (180 171 (:REWRITE |(+ c (+ d x))|))
 (157 37 (:REWRITE FLOOR-CANCEL-*-REWRITING-GOAL-LITERAL))
 (157 37 (:REWRITE |(floor x (* y (/ z))) rewriting-goal-literal|))
 (157 37 (:REWRITE |(floor (* x (/ y)) z) rewriting-goal-literal|))
 (144 144 (:META META-INTEGERP-CORRECT))
 (139 16 (:REWRITE |(mod (* x (/ y)) z) rewriting-goal-literal|))
 (132 14 (:REWRITE ACL2-NUMBERP-X))
 (123 123 (:REWRITE |(< (/ x) 0)|))
 (123 123 (:REWRITE |(< (* x y) 0)|))
 (122 122 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (122 122 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (116 116 (:REWRITE FOLD-CONSTS-IN-+))
 (108 12 (:REWRITE |(< (+ (- c) x) y)|))
 (80 8 (:LINEAR MOD-BOUNDS-2))
 (76 16 (:REWRITE |(mod x (* y (/ z))) rewriting-goal-literal|))
 (68 2 (:REWRITE FLOOR-POSITIVE . 3))
 (62 2 (:REWRITE FLOOR-POSITIVE . 2))
 (62 2 (:REWRITE FLOOR-NONPOSITIVE . 1))
 (59 5 (:REWRITE RATIONALP-X))
 (57 21 (:REWRITE DEFAULT-MOD-2))
 (51 37 (:REWRITE |(equal (/ x) c)|))
 (50 2 (:REWRITE FLOOR-POSITIVE . 4))
 (50 2 (:REWRITE FLOOR-NONPOSITIVE . 3))
 (50 2 (:REWRITE FLOOR-NONPOSITIVE . 2))
 (44 8 (:REWRITE |(- (- x))|))
 (43 43 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
 (40 40 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (40 40 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (38 38 (:REWRITE DEFAULT-FLOOR-1))
 (38 38 (:REWRITE |(< 0 (* x y))|))
 (37 37 (:REWRITE |(floor x (- y))| . 2))
 (37 37 (:REWRITE |(floor x (- y))| . 1))
 (37 37 (:REWRITE |(floor (- x) y)| . 2))
 (37 37 (:REWRITE |(floor (- x) y)| . 1))
 (37 37 (:REWRITE |(equal c (/ x))|))
 (37 37 (:REWRITE |(equal (/ x) (/ y))|))
 (37 37 (:REWRITE |(equal (- x) (- y))|))
 (36 36 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (36 36 (:REWRITE |(equal c (- x))|))
 (36 36 (:REWRITE |(equal (- x) c)|))
 (35 35 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (35 35 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (35 35 (:REWRITE |(< 0 (/ x))|))
 (32 2 (:REWRITE FLOOR-=-X/Y . 4))
 (32 2 (:REWRITE |(equal (floor (+ x y) z) x)|))
 (30 5 (:LINEAR SMAN::BYTEP-MI))
 (30 3 (:REWRITE |(equal (mod (+ x y) z) x)|))
 (29 29 (:TYPE-PRESCRIPTION |(< (logand x y) 0)| . 1))
 (28 28 (:LINEAR EXPT-IS-WEAKLY-INCREASING-FOR-BASE->-1))
 (28 28 (:LINEAR EXPT-IS-WEAKLY-DECREASING-FOR-POS-BASE-<-1))
 (28 28 (:LINEAR EXPT-IS-INCREASING-FOR-BASE->-1))
 (28 28 (:LINEAR EXPT-IS-DECREASING-FOR-POS-BASE-<-1))
 (22 22 (:REWRITE |(< x (+ c/d y))|))
 (21 21 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (21 21 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (21 21 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (21 21 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (19 19 (:REWRITE |(< y (+ (- c) x))|))
 (18 18 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (18 6 (:REWRITE SMAN::!R-R))
 (16 16 (:REWRITE INTEGERP-+-REDUCE-CONSTANT))
 (16 16 (:REWRITE |(mod x (- y))| . 3))
 (16 16 (:REWRITE |(mod x (- y))| . 2))
 (16 16 (:REWRITE |(mod x (- y))| . 1))
 (16 16 (:REWRITE |(mod x (* y (/ z))) not rewriting-goal-literal|))
 (16 16 (:REWRITE |(mod (- x) y)| . 3))
 (16 16 (:REWRITE |(mod (- x) y)| . 2))
 (16 16 (:REWRITE |(mod (- x) y)| . 1))
 (16 16 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
 (15 5 (:REWRITE SMAN::STP-!R))
 (14 14 (:REWRITE |(< 0 (* x y)) rationalp (* x y)|))
 (14 14 (:LINEAR EXPT-X->=-X))
 (14 14 (:LINEAR EXPT-X->-X))
 (14 14 (:LINEAR EXPT-LINEAR-UPPER-<=))
 (14 14 (:LINEAR EXPT-LINEAR-UPPER-<))
 (14 14 (:LINEAR EXPT-LINEAR-LOWER-<=))
 (14 14 (:LINEAR EXPT-LINEAR-LOWER-<))
 (14 14 (:LINEAR EXPT->=-1-TWO))
 (14 14 (:LINEAR EXPT->=-1-ONE))
 (14 14 (:LINEAR EXPT->-1-TWO))
 (14 14 (:LINEAR EXPT->-1-ONE))
 (14 14 (:LINEAR EXPT-<=-1-TWO))
 (14 14 (:LINEAR EXPT-<=-1-ONE))
 (14 14 (:LINEAR EXPT-<-1-TWO))
 (14 14 (:LINEAR EXPT-<-1-ONE))
 (12 12 (:REWRITE |(equal (* x y) 0)|))
 (12 12 (:REWRITE |(< (+ c/d x) y)|))
 (10 10 (:TYPE-PRESCRIPTION RATIONALP-MOD))
 (5 5 (:REWRITE REDUCE-RATIONALP-+))
 (5 5 (:REWRITE REDUCE-RATIONALP-*))
 (5 5 (:REWRITE RATIONALP-MINUS-X))
 (5 5 (:META META-RATIONALP-CORRECT))
 (4 4 (:REWRITE DEFAULT-LOGAND-1))
 (2 2 (:REWRITE FLOOR-ZERO . 1))
 (2 2 (:REWRITE FLOOR-POSITIVE . 1))
 (2 2 (:REWRITE |(mod (floor x y) z)| . 5))
 (2 2 (:REWRITE |(mod (floor x y) z)| . 4))
 (2 2 (:REWRITE |(mod (floor x y) z)| . 3))
 (2 2 (:REWRITE |(mod (floor x y) z)| . 2))
 (2 2 (:REWRITE |(* c (* d x))|))
 (1 1 (:REWRITE |(not (equal x (/ y)))|))
 (1 1 (:REWRITE |(equal x (/ y))|))
 (1 1 (:REWRITE |(/ (/ x))|))
 )
(SMAN::DEMO-THM--NO-DIVERGENCE
 (84108 84 (:LINEAR LINEAR-FLOOR-BOUNDS-1))
 (47454 19278 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B))
 (33868 352 (:REWRITE THE-FLOOR-ABOVE))
 (31980 12 (:REWRITE MOD-ZERO . 4))
 (30078 12 (:REWRITE SMAN::UNNECESSARY-MOD))
 (24864 12 (:REWRITE MOD-X-Y-=-X . 3))
 (24630 12 (:REWRITE MOD-X-Y-=-X-Y . 2))
 (23994 12 (:REWRITE MOD-X-Y-=-X+Y . 2))
 (23286 12 (:REWRITE MOD-X-Y-=-X . 4))
 (19278 19278 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (19278 19278 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (19278 19278 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (19194 19194 (:TYPE-PRESCRIPTION INTEGERP-/-EXPT-1))
 (14490 1854 (:REWRITE DEFAULT-TIMES-2))
 (13905 1419 (:REWRITE DEFAULT-PLUS-1))
 (13869 1419 (:REWRITE DEFAULT-PLUS-2))
 (13086 12 (:REWRITE CANCEL-MOD-+))
 (12606 102 (:REWRITE CANCEL-FLOOR-+))
 (10686 822 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (10686 822 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
 (10686 822 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 1))
 (10686 822 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 1))
 (10686 822 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
 (8274 66 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (6840 672 (:REWRITE |(* (- x) y)|))
 (6828 102 (:REWRITE FLOOR-X-Y-=-1 . 2))
 (6684 102 (:REWRITE FLOOR-ZERO . 3))
 (6680 6680 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (6680 6680 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (6680 6680 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (6680 6680 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (6680 6680 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
 (6312 102 (:REWRITE FLOOR-=-X/Y . 2))
 (5808 102 (:REWRITE DEFAULT-FLOOR-RATIO))
 (5754 822 (:TYPE-PRESCRIPTION FLOOR-ZERO . 3))
 (5754 822 (:TYPE-PRESCRIPTION FLOOR-ZERO . 1))
 (5754 822 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 3))
 (5754 822 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 2))
 (5754 822 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 3))
 (5754 822 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 2))
 (5754 822 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 3))
 (5754 822 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 2))
 (5754 822 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 3))
 (5754 822 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
 (5676 1854 (:REWRITE DEFAULT-TIMES-1))
 (5454 1752 (:REWRITE DEFAULT-MINUS))
 (5352 12 (:REWRITE MOD-ZERO . 3))
 (5160 516 (:REWRITE DEFAULT-DIVIDE))
 (4909 211 (:REWRITE INTEGERP-MINUS-X))
 (4512 102 (:REWRITE FLOOR-=-X/Y . 3))
 (3696 48 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (3192 12 (:REWRITE DEFAULT-MOD-RATIO))
 (3162 102 (:REWRITE |(integerp (- x))|))
 (3102 102 (:REWRITE FLOOR-X-Y-=--1 . 2))
 (3072 5 (:REWRITE SMAN::!R-R))
 (2550 102 (:REWRITE FLOOR-ZERO . 2))
 (2550 102 (:REWRITE FLOOR-X-Y-=-1 . 3))
 (2550 102 (:REWRITE FLOOR-X-Y-=--1 . 3))
 (2266 352 (:REWRITE THE-FLOOR-BELOW))
 (2262 102 (:REWRITE FLOOR-ZERO . 5))
 (2262 102 (:REWRITE FLOOR-ZERO . 4))
 (2088 42 (:LINEAR LINEAR-FLOOR-BOUNDS-3))
 (2058 12 (:REWRITE |(mod (+ x (mod a b)) y)|))
 (2058 12 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
 (2004 12 (:REWRITE MOD-X-Y-=-X . 2))
 (1836 12 (:REWRITE DEFAULT-LOGAND-2))
 (1666 322 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (1632 102 (:REWRITE FLOOR-CANCEL-*-CONST))
 (1564 328 (:REWRITE DEFAULT-LESS-THAN-2))
 (1458 42 (:LINEAR LINEAR-FLOOR-BOUNDS-2))
 (1362 102 (:REWRITE FLOOR-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (1362 102 (:REWRITE |(floor x (* y (/ z))) not rewriting-goal-literal|))
 (1362 102 (:REWRITE |(floor (* x (/ y)) z) not rewriting-goal-literal|))
 (1092 12 (:REWRITE MOD-X-Y-=-X-Y . 3))
 (1092 12 (:REWRITE MOD-X-Y-=-X+Y . 3))
 (1072 20 (:LINEAR SMAN::R-BOUND))
 (1038 12 (:REWRITE MOD-CANCEL-*-REWRITING-GOAL-LITERAL))
 (1038 12 (:REWRITE MOD-CANCEL-*-CONST))
 (1020 102 (:REWRITE DEFAULT-FLOOR-2))
 (956 17 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (932 17 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (924 12 (:REWRITE DEFAULT-MOD-1))
 (822 102 (:REWRITE SMAN::UNNECESSARY-FLOOR))
 (760 328 (:REWRITE DEFAULT-LESS-THAN-1))
 (687 687 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (640 316 (:REWRITE SIMPLIFY-SUMS-<))
 (574 574 (:REWRITE DEFAULT-EXPT-2))
 (574 574 (:REWRITE DEFAULT-EXPT-1))
 (574 574 (:REWRITE |(expt 1/c n)|))
 (574 574 (:REWRITE |(expt (- x) n)|))
 (463 15 (:REWRITE SMAN::R-!R-DIFF-BELOW))
 (463 15 (:REWRITE SMAN::R-!R-DIFF-ABOVE))
 (372 102 (:REWRITE FLOOR-CANCEL-*-REWRITING-GOAL-LITERAL))
 (372 102 (:REWRITE |(floor x (* y (/ z))) rewriting-goal-literal|))
 (372 102 (:REWRITE |(floor (* x (/ y)) z) rewriting-goal-literal|))
 (346 46 (:LINEAR EXPT-<=-1-TWO))
 (336 46 (:LINEAR EXPT->-1-ONE))
 (322 322 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (322 322 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (322 322 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (322 322 (:REWRITE INTEGERP-<-CONSTANT))
 (322 322 (:REWRITE CONSTANT-<-INTEGERP))
 (322 322 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (322 322 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (322 322 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (322 322 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (322 322 (:REWRITE |(< c (- x))|))
 (322 322 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (322 322 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (322 322 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (322 322 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (322 322 (:REWRITE |(< (/ x) (/ y))|))
 (322 322 (:REWRITE |(< (- x) c)|))
 (322 322 (:REWRITE |(< (- x) (- y))|))
 (296 46 (:LINEAR EXPT-X->=-X))
 (296 46 (:LINEAR EXPT-X->-X))
 (256 256 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (222 92 (:LINEAR EXPT-IS-WEAKLY-INCREASING-FOR-BASE->-1))
 (205 205 (:REWRITE REDUCE-INTEGERP-+))
 (205 205 (:META META-INTEGERP-CORRECT))
 (204 102 (:TYPE-PRESCRIPTION SMAN::NATP-NTH-MP))
 (204 6 (:REWRITE FLOOR-POSITIVE . 3))
 (186 6 (:REWRITE FLOOR-POSITIVE . 2))
 (186 6 (:REWRITE FLOOR-NONPOSITIVE . 1))
 (176 46 (:LINEAR EXPT-LINEAR-LOWER-<=))
 (176 46 (:LINEAR EXPT->=-1-ONE))
 (150 6 (:REWRITE FLOOR-POSITIVE . 4))
 (150 6 (:REWRITE FLOOR-NONPOSITIVE . 3))
 (150 6 (:REWRITE FLOOR-NONPOSITIVE . 2))
 (148 148 (:REWRITE |(< (/ x) 0)|))
 (148 148 (:REWRITE |(< (* x y) 0)|))
 (142 142 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (142 142 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (102 102 (:REWRITE DEFAULT-FLOOR-1))
 (102 102 (:REWRITE |(floor x (- y))| . 2))
 (102 102 (:REWRITE |(floor x (- y))| . 1))
 (102 102 (:REWRITE |(floor (- x) y)| . 2))
 (102 102 (:REWRITE |(floor (- x) y)| . 1))
 (96 6 (:TYPE-PRESCRIPTION MOD-ZERO . 1))
 (96 6 (:TYPE-PRESCRIPTION MOD-POSITIVE . 2))
 (96 6 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (96 6 (:REWRITE FLOOR-=-X/Y . 4))
 (96 6 (:REWRITE |(mod x (* y (/ z))) rewriting-goal-literal|))
 (96 6 (:REWRITE |(mod (* x (/ y)) z) rewriting-goal-literal|))
 (96 6 (:REWRITE |(equal (floor (+ x y) z) x)|))
 (92 92 (:LINEAR EXPT-IS-WEAKLY-DECREASING-FOR-POS-BASE-<-1))
 (92 92 (:LINEAR EXPT-IS-INCREASING-FOR-BASE->-1))
 (92 92 (:LINEAR EXPT-IS-DECREASING-FOR-POS-BASE-<-1))
 (70 70 (:TYPE-PRESCRIPTION SMAN::R))
 (66 66 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (66 66 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (66 66 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (66 66 (:REWRITE |(+ c (+ d x))|))
 (66 12 (:REWRITE DEFAULT-MOD-2))
 (60 60 (:REWRITE FOLD-CONSTS-IN-+))
 (60 6 (:TYPE-PRESCRIPTION MOD-ZERO . 4))
 (56 56 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (56 56 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (56 56 (:REWRITE |(< 0 (/ x))|))
 (56 56 (:REWRITE |(< 0 (* x y))|))
 (48 48 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
 (46 46 (:LINEAR EXPT-LINEAR-UPPER-<=))
 (46 46 (:LINEAR EXPT-LINEAR-UPPER-<))
 (46 46 (:LINEAR EXPT-LINEAR-LOWER-<))
 (46 46 (:LINEAR EXPT->=-1-TWO))
 (46 46 (:LINEAR EXPT->-1-TWO))
 (46 46 (:LINEAR EXPT-<=-1-ONE))
 (46 46 (:LINEAR EXPT-<-1-TWO))
 (46 46 (:LINEAR EXPT-<-1-ONE))
 (42 6 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
 (40 40 (:REWRITE |(< y (+ (- c) x))|))
 (40 40 (:REWRITE |(< x (+ c/d y))|))
 (36 36 (:REWRITE ODD-EXPT-THM))
 (33 9 (:REWRITE ACL2-NUMBERP-X))
 (33 1 (:REWRITE SMAN::!R-!R-DIFF-BELOW))
 (33 1 (:REWRITE SMAN::!R-!R-DIFF-ABOVE))
 (24 24 (:REWRITE |(+ x (- x))|))
 (20 17 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (17 17 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (17 17 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (17 17 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (17 17 (:REWRITE |(equal c (/ x))|))
 (17 17 (:REWRITE |(equal c (- x))|))
 (17 17 (:REWRITE |(equal (/ x) c)|))
 (17 17 (:REWRITE |(equal (/ x) (/ y))|))
 (17 17 (:REWRITE |(equal (- x) c)|))
 (17 17 (:REWRITE |(equal (- x) (- y))|))
 (12 12 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (12 12 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (12 12 (:REWRITE DEFAULT-LOGAND-1))
 (12 3 (:REWRITE RATIONALP-X))
 (6 6 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
 (6 6 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (6 6 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (6 6 (:TYPE-PRESCRIPTION MOD-NONNEGATIVE))
 (6 6 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (6 6 (:TYPE-PRESCRIPTION INTEGERP-MOD-3))
 (6 6 (:REWRITE FLOOR-ZERO . 1))
 (6 6 (:REWRITE FLOOR-POSITIVE . 1))
 (6 6 (:REWRITE BUBBLE-DOWN-+-MATCH-3))
 (6 6 (:REWRITE |(mod x (- y))| . 3))
 (6 6 (:REWRITE |(mod x (- y))| . 2))
 (6 6 (:REWRITE |(mod x (- y))| . 1))
 (6 6 (:REWRITE |(mod x (* y (/ z))) not rewriting-goal-literal|))
 (6 6 (:REWRITE |(mod (floor x y) z)| . 5))
 (6 6 (:REWRITE |(mod (floor x y) z)| . 4))
 (6 6 (:REWRITE |(mod (floor x y) z)| . 3))
 (6 6 (:REWRITE |(mod (floor x y) z)| . 2))
 (6 6 (:REWRITE |(mod (- x) y)| . 3))
 (6 6 (:REWRITE |(mod (- x) y)| . 2))
 (6 6 (:REWRITE |(mod (- x) y)| . 1))
 (6 6 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
 (6 6 (:REWRITE |(< (+ c/d x) y)|))
 (6 6 (:REWRITE |(< (+ (- c) x) y)|))
 (5 4 (:REWRITE SMAN::STP-!R))
 (3 3 (:REWRITE REDUCE-RATIONALP-+))
 (3 3 (:REWRITE REDUCE-RATIONALP-*))
 (3 3 (:REWRITE RATIONALP-MINUS-X))
 (3 3 (:META META-RATIONALP-CORRECT))
 (3 1 (:LINEAR SMAN::BYTEP-NTH-MP))
 )
(SMAN::STP-IMPLIES-WEAK-STP
 (34 34 (:REWRITE DEFAULT-CDR))
 (28 14 (:REWRITE DEFAULT-PLUS-2))
 (24 12 (:TYPE-PRESCRIPTION SMAN::NATP-NTH-MP))
 (14 14 (:REWRITE DEFAULT-PLUS-1))
 (12 12 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (12 12 (:REWRITE NORMALIZE-ADDENDS))
 (6 6 (:REWRITE DEFAULT-CAR))
 (4 2 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (4 2 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (2 2 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (2 2 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (2 2 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (2 2 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (2 2 (:REWRITE |(equal c (/ x))|))
 (2 2 (:REWRITE |(equal c (- x))|))
 (2 2 (:REWRITE |(equal (/ x) c)|))
 (2 2 (:REWRITE |(equal (/ x) (/ y))|))
 (2 2 (:REWRITE |(equal (- x) c)|))
 (2 2 (:REWRITE |(equal (- x) (- y))|))
 (1 1 (:REWRITE THE-FLOOR-BELOW))
 (1 1 (:REWRITE THE-FLOOR-ABOVE))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (1 1 (:REWRITE SIMPLIFY-SUMS-<))
 (1 1 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (1 1 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (1 1 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (1 1 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (1 1 (:REWRITE REDUCE-INTEGERP-+))
 (1 1 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (1 1 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (1 1 (:REWRITE INTEGERP-MINUS-X))
 (1 1 (:REWRITE INTEGERP-<-CONSTANT))
 (1 1 (:REWRITE DEFAULT-LESS-THAN-2))
 (1 1 (:REWRITE DEFAULT-LESS-THAN-1))
 (1 1 (:REWRITE CONSTANT-<-INTEGERP))
 (1 1 (:REWRITE |(equal (+ (- c) x) y)|))
 (1 1 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (1 1 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (1 1 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (1 1 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (1 1 (:REWRITE |(< c (- x))|))
 (1 1 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (1 1 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (1 1 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (1 1 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (1 1 (:REWRITE |(< (/ x) 0)|))
 (1 1 (:REWRITE |(< (/ x) (/ y))|))
 (1 1 (:REWRITE |(< (- x) c)|))
 (1 1 (:REWRITE |(< (- x) (- y))|))
 (1 1 (:REWRITE |(< (* x y) 0)|))
 (1 1 (:META META-INTEGERP-CORRECT))
 )
(SMAN::WEAK-ML-!MI
 (102 2 (:REWRITE SMAN::!NTH-NTH))
 (70 1 (:DEFINITION UPDATE-NTH))
 (41 1 (:REWRITE |(< (+ (- c) x) y)|))
 (28 4 (:DEFINITION LEN))
 (16 16 (:REWRITE DEFAULT-CDR))
 (13 8 (:REWRITE DEFAULT-PLUS-2))
 (10 7 (:REWRITE DEFAULT-LESS-THAN-2))
 (9 7 (:REWRITE DEFAULT-LESS-THAN-1))
 (9 5 (:REWRITE SIMPLIFY-SUMS-<))
 (9 5 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (9 5 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (8 8 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (8 8 (:REWRITE NORMALIZE-ADDENDS))
 (8 8 (:REWRITE DEFAULT-PLUS-1))
 (7 7 (:REWRITE THE-FLOOR-BELOW))
 (7 7 (:REWRITE THE-FLOOR-ABOVE))
 (7 7 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (7 7 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (7 7 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (6 6 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (6 6 (:REWRITE INTEGERP-<-CONSTANT))
 (6 6 (:REWRITE DEFAULT-CAR))
 (6 6 (:REWRITE CONSTANT-<-INTEGERP))
 (6 6 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (6 6 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (6 6 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (6 6 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (6 6 (:REWRITE |(< c (- x))|))
 (6 6 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (6 6 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (6 6 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (6 6 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (6 6 (:REWRITE |(< (/ x) (/ y))|))
 (6 6 (:REWRITE |(< (- x) c)|))
 (6 6 (:REWRITE |(< (- x) (- y))|))
 (3 3 (:REWRITE |(< y (+ (- c) x))|))
 (3 3 (:REWRITE |(< x (+ c/d y))|))
 (2 2 (:REWRITE |(< (/ x) 0)|))
 (2 2 (:REWRITE |(< (* x y) 0)|))
 (1 1 (:REWRITE ZP-OPEN))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (1 1 (:REWRITE REDUCE-INTEGERP-+))
 (1 1 (:REWRITE INTEGERP-MINUS-X))
 (1 1 (:REWRITE |(< (+ c/d x) y)|))
 (1 1 (:META META-INTEGERP-CORRECT))
 )
(SMAN::WEAK-ML-!R
 (43801 106 (:LINEAR LINEAR-FLOOR-BOUNDS-1))
 (35444 26804 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B))
 (30426 811 (:REWRITE THE-FLOOR-ABOVE))
 (26804 26804 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (26804 26804 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (26804 26804 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (19295 7 (:REWRITE SMAN::!NTH-!NTH-DIFF))
 (18329 1 (:REWRITE |(logand (if a b c) x)|))
 (16014 1 (:REWRITE |(floor (if a b c) x)|))
 (14383 155 (:REWRITE SMAN::UNNECESSARY-FLOOR))
 (13877 112 (:REWRITE SMAN::!NTH-NTH))
 (13208 2447 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (12830 154 (:REWRITE CANCEL-FLOOR-+))
 (12589 56 (:DEFINITION UPDATE-NTH))
 (12513 746 (:REWRITE DEFAULT-PLUS-2))
 (12340 746 (:REWRITE DEFAULT-PLUS-1))
 (11703 154 (:REWRITE FLOOR-ZERO . 3))
 (11190 34 (:REWRITE SMAN::UNNECESSARY-MOD))
 (10512 154 (:REWRITE FLOOR-X-Y-=-1 . 2))
 (10396 34 (:REWRITE MOD-ZERO . 4))
 (10344 154 (:REWRITE FLOOR-ZERO . 4))
 (10293 154 (:REWRITE FLOOR-X-Y-=--1 . 2))
 (10161 1129 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (10161 1129 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
 (10161 1129 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 1))
 (10161 1129 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 1))
 (10161 1129 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
 (9738 34 (:REWRITE MOD-X-Y-=-X . 3))
 (9300 34 (:REWRITE MOD-X-Y-=-X+Y . 2))
 (9262 154 (:REWRITE FLOOR-ZERO . 5))
 (9245 2308 (:REWRITE DEFAULT-TIMES-2))
 (9210 34 (:REWRITE MOD-X-Y-=-X-Y . 2))
 (8821 577 (:REWRITE INTEGERP-MINUS-X))
 (8656 34 (:REWRITE MOD-X-Y-=-X . 4))
 (7054 34 (:REWRITE CANCEL-MOD-+))
 (6729 849 (:REWRITE |(* y x)|))
 (6550 2308 (:REWRITE DEFAULT-TIMES-1))
 (6392 388 (:REWRITE |(* (- x) y)|))
 (5816 4 (:REWRITE |(mod (floor x y) z)| . 1))
 (5645 1129 (:TYPE-PRESCRIPTION FLOOR-ZERO . 4))
 (5645 1129 (:TYPE-PRESCRIPTION FLOOR-ZERO . 3))
 (5645 1129 (:TYPE-PRESCRIPTION FLOOR-ZERO . 1))
 (5645 1129 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 3))
 (5645 1129 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 2))
 (5645 1129 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 3))
 (5645 1129 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 2))
 (5645 1129 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 3))
 (5645 1129 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 2))
 (5645 1129 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 3))
 (5645 1129 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
 (4830 35 (:TYPE-PRESCRIPTION TRUE-LISTP-UPDATE-NTH))
 (4197 154 (:REWRITE FLOOR-=-X/Y . 2))
 (3856 380 (:REWRITE DEFAULT-MINUS))
 (3732 380 (:REWRITE |(- (* c x))|))
 (3717 154 (:REWRITE FLOOR-=-X/Y . 3))
 (3372 39 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (3276 155 (:REWRITE DEFAULT-FLOOR-RATIO))
 (2768 34 (:REWRITE MOD-ZERO . 3))
 (2459 811 (:REWRITE THE-FLOOR-BELOW))
 (2447 2447 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (2447 2447 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (2447 2447 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (2363 1 (:REWRITE |(< (if a b c) x)|))
 (2326 687 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (1896 72 (:REWRITE |(< (+ (- c) x) y)|))
 (1778 778 (:REWRITE DEFAULT-LESS-THAN-2))
 (1639 778 (:REWRITE DEFAULT-LESS-THAN-1))
 (1586 34 (:REWRITE DEFAULT-MOD-RATIO))
 (1261 1261 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (1250 687 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (1228 219 (:REWRITE DEFAULT-CAR))
 (1218 762 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (1174 154 (:REWRITE FLOOR-ZERO . 2))
 (1174 154 (:REWRITE FLOOR-X-Y-=-1 . 3))
 (1174 154 (:REWRITE FLOOR-X-Y-=--1 . 3))
 (1129 1129 (:TYPE-PRESCRIPTION FLOOR))
 (1126 154 (:REWRITE FLOOR-CANCEL-*-CONST))
 (978 34 (:REWRITE MOD-X-Y-=-X . 2))
 (978 34 (:REWRITE |(mod (+ x (mod a b)) y)|))
 (978 34 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
 (840 753 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (813 753 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (718 154 (:REWRITE FLOOR-CANCEL-*-REWRITING-GOAL-LITERAL))
 (706 4 (:REWRITE |(floor (floor x y) z)| . 1))
 (704 704 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (704 704 (:REWRITE INTEGERP-<-CONSTANT))
 (704 704 (:REWRITE CONSTANT-<-INTEGERP))
 (704 704 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (704 704 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (704 704 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (704 704 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (704 704 (:REWRITE |(< c (- x))|))
 (704 704 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (704 704 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (704 704 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (704 704 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (704 704 (:REWRITE |(< (/ x) (/ y))|))
 (704 704 (:REWRITE |(< (- x) c)|))
 (704 704 (:REWRITE |(< (- x) (- y))|))
 (660 155 (:REWRITE DEFAULT-FLOOR-1))
 (630 53 (:LINEAR LINEAR-FLOOR-BOUNDS-3))
 (610 154 (:REWRITE FLOOR-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (606 150 (:REWRITE |(floor (* x (/ y)) z) not rewriting-goal-literal|))
 (574 34 (:REWRITE MOD-X-Y-=-X-Y . 3))
 (574 34 (:REWRITE MOD-X-Y-=-X+Y . 3))
 (574 34 (:REWRITE MOD-CANCEL-*-CONST))
 (558 34 (:REWRITE MOD-CANCEL-*-REWRITING-GOAL-LITERAL))
 (472 53 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (472 53 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (467 63 (:REWRITE DEFAULT-LOGAND-2))
 (447 447 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (438 34 (:REWRITE DEFAULT-MOD-1))
 (418 53 (:LINEAR LINEAR-FLOOR-BOUNDS-2))
 (389 389 (:REWRITE REDUCE-INTEGERP-+))
 (389 389 (:META META-INTEGERP-CORRECT))
 (383 383 (:REWRITE |(< (* x y) 0)|))
 (372 372 (:REWRITE |(< (/ x) 0)|))
 (355 355 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (355 355 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (294 150 (:REWRITE |(floor (* x (/ y)) z) rewriting-goal-literal|))
 (209 1 (:REWRITE |(* (if a b c) x)|))
 (183 183 (:TYPE-PRESCRIPTION ABS))
 (164 164 (:TYPE-PRESCRIPTION SMAN::STP))
 (160 32 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
 (160 32 (:TYPE-PRESCRIPTION MOD-ZERO . 1))
 (160 32 (:TYPE-PRESCRIPTION MOD-POSITIVE . 2))
 (160 32 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (155 155 (:REWRITE DEFAULT-FLOOR-2))
 (150 150 (:REWRITE |(floor x (- y))| . 2))
 (150 150 (:REWRITE |(floor x (- y))| . 1))
 (150 150 (:REWRITE |(floor x (* y (/ z))) rewriting-goal-literal|))
 (150 150 (:REWRITE |(floor x (* y (/ z))) not rewriting-goal-literal|))
 (150 150 (:REWRITE |(floor (- x) y)| . 2))
 (150 150 (:REWRITE |(floor (- x) y)| . 1))
 (150 50 (:REWRITE SMAN::!R-R))
 (134 30 (:REWRITE |(mod (* x (/ y)) z) rewriting-goal-literal|))
 (105 7 (:REWRITE |(+ x (if a b c))|))
 (96 32 (:REWRITE SMAN::!MI-MI))
 (89 89 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (89 89 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (89 89 (:REWRITE |(< 0 (/ x))|))
 (89 89 (:REWRITE |(< 0 (* x y))|))
 (88 88 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
 (79 79 (:REWRITE |(< y (+ (- c) x))|))
 (79 79 (:REWRITE |(< x (+ c/d y))|))
 (74 74 (:REWRITE |(< (+ c/d x) y)|))
 (72 8 (:REWRITE FLOOR-POSITIVE . 2))
 (72 8 (:REWRITE FLOOR-NONPOSITIVE . 1))
 (53 53 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (53 53 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (53 53 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (53 53 (:REWRITE |(equal c (/ x))|))
 (53 53 (:REWRITE |(equal c (- x))|))
 (53 53 (:REWRITE |(equal (/ x) c)|))
 (53 53 (:REWRITE |(equal (/ x) (/ y))|))
 (53 53 (:REWRITE |(equal (- x) c)|))
 (53 53 (:REWRITE |(equal (- x) (- y))|))
 (50 34 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (46 30 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
 (40 8 (:REWRITE FLOOR-POSITIVE . 4))
 (40 8 (:REWRITE FLOOR-POSITIVE . 3))
 (40 8 (:REWRITE FLOOR-NONPOSITIVE . 3))
 (40 8 (:REWRITE FLOOR-NONPOSITIVE . 2))
 (35 35 (:TYPE-PRESCRIPTION UPDATE-NTH))
 (35 35 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (34 34 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (34 34 (:REWRITE DEFAULT-MOD-2))
 (32 32 (:TYPE-PRESCRIPTION MOD-ZERO . 4))
 (32 32 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
 (32 32 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (32 32 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (32 32 (:TYPE-PRESCRIPTION MOD-NONNEGATIVE))
 (32 32 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (32 32 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
 (32 32 (:TYPE-PRESCRIPTION INTEGERP-MOD-1))
 (30 30 (:REWRITE |(mod x (- y))| . 3))
 (30 30 (:REWRITE |(mod x (- y))| . 2))
 (30 30 (:REWRITE |(mod x (- y))| . 1))
 (30 30 (:REWRITE |(mod x (* y (/ z))) rewriting-goal-literal|))
 (30 30 (:REWRITE |(mod x (* y (/ z))) not rewriting-goal-literal|))
 (30 30 (:REWRITE |(mod (- x) y)| . 3))
 (30 30 (:REWRITE |(mod (- x) y)| . 2))
 (30 30 (:REWRITE |(mod (- x) y)| . 1))
 (22 22 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-ODD-EXPONENT))
 (22 22 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (22 22 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (22 22 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (22 22 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (22 22 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
 (20 4 (:REWRITE FLOOR-=-X/Y . 4))
 (20 4 (:REWRITE |(equal (floor (+ x y) z) x)|))
 (14 14 (:REWRITE |(equal (+ (- c) x) y)|))
 (9 9 (:REWRITE |(* a (/ a) b)|))
 (8 8 (:REWRITE FLOOR-POSITIVE . 1))
 (4 4 (:REWRITE FLOOR-ZERO . 1))
 (4 4 (:REWRITE |(mod (floor x y) z)| . 5))
 (4 4 (:REWRITE |(mod (floor x y) z)| . 4))
 (4 4 (:REWRITE |(mod (floor x y) z)| . 3))
 (4 4 (:REWRITE |(mod (floor x y) z)| . 2))
 (4 4 (:REWRITE |(floor (floor x y) z)| . 5))
 (4 4 (:REWRITE |(floor (floor x y) z)| . 4))
 (4 4 (:REWRITE |(floor (floor x y) z)| . 3))
 (4 4 (:REWRITE |(floor (floor x y) z)| . 2))
 (1 1 (:REWRITE FOLD-CONSTS-IN-+))
 (1 1 (:REWRITE |(equal x (if a b c))|))
 )
(SMAN::DEMO-THM
 (2160 2 (:LINEAR SMAN::DIVERGENT-ADDR-LEGAL))
 (1182 42 (:REWRITE SMAN::!R-R))
 (1124 2 (:REWRITE SMAN::MI-!R-))
 (1117 2 (:REWRITE SMAN::MI-!R+))
 (456 228 (:TYPE-PRESCRIPTION SMAN::NATP-NTH-MP))
 (338 2 (:DEFINITION MIN))
 (268 12 (:REWRITE SMAN::R-!R-DIFF-BELOW))
 (268 12 (:REWRITE SMAN::R-!R-DIFF-ABOVE))
 (228 204 (:REWRITE DEFAULT-PLUS-1))
 (204 204 (:REWRITE DEFAULT-PLUS-2))
 (178 110 (:REWRITE DEFAULT-LESS-THAN-2))
 (178 24 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (138 110 (:REWRITE DEFAULT-LESS-THAN-1))
 (138 87 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (136 8 (:REWRITE SMAN::!R-!R-DIFF-BELOW))
 (136 8 (:REWRITE SMAN::!R-!R-DIFF-ABOVE))
 (132 36 (:REWRITE ACL2-NUMBERP-X))
 (110 110 (:REWRITE THE-FLOOR-BELOW))
 (110 110 (:REWRITE THE-FLOOR-ABOVE))
 (98 98 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (98 98 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (98 98 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (95 95 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (95 95 (:REWRITE INTEGERP-<-CONSTANT))
 (95 95 (:REWRITE CONSTANT-<-INTEGERP))
 (95 95 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
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 (95 95 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
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 (95 95 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
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 (95 95 (:REWRITE |(< (/ x) (/ y))|))
 (95 95 (:REWRITE |(< (- x) c)|))
 (95 95 (:REWRITE |(< (- x) (- y))|))
 (84 4 (:TYPE-PRESCRIPTION MIN))
 (82 24 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (80 80 (:TYPE-PRESCRIPTION SMAN::R))
 (72 72 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (62 24 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (48 12 (:REWRITE RATIONALP-X))
 (41 41 (:REWRITE |(< y (+ (- c) x))|))
 (41 41 (:REWRITE |(< x (+ c/d y))|))
 (30 30 (:REWRITE |(< (+ c/d x) y)|))
 (30 30 (:REWRITE |(< (+ (- c) x) y)|))
 (24 24 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (24 24 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (24 24 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (24 24 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (24 24 (:REWRITE |(equal c (/ x))|))
 (24 24 (:REWRITE |(equal c (- x))|))
 (24 24 (:REWRITE |(equal (/ x) c)|))
 (24 24 (:REWRITE |(equal (/ x) (/ y))|))
 (24 24 (:REWRITE |(equal (- x) c)|))
 (24 24 (:REWRITE |(equal (- x) (- y))|))
 (21 21 (:REWRITE |(< (/ x) 0)|))
 (21 21 (:REWRITE |(< (* x y) 0)|))
 (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 REDUCE-INTEGERP-+))
 (16 16 (:REWRITE INTEGERP-MINUS-X))
 (16 16 (:META META-INTEGERP-CORRECT))
 (14 4 (:REWRITE DEFAULT-CDR))
 (14 4 (:REWRITE DEFAULT-CAR))
 (12 12 (:REWRITE REDUCE-RATIONALP-+))
 (12 12 (:REWRITE REDUCE-RATIONALP-*))
 (12 12 (:REWRITE RATIONALP-MINUS-X))
 (12 12 (:REWRITE DEFAULT-TIMES-2))
 (12 12 (:REWRITE DEFAULT-TIMES-1))
 (12 12 (:META META-RATIONALP-CORRECT))
 (9 2 (:TYPE-PRESCRIPTION SMAN::NATP-I))
 (6 6 (:REWRITE ZP-OPEN))
 (6 6 (:REWRITE |(+ c (+ d x))|))
 (3 3 (:REWRITE |(<= (/ x) y) with (< x 0)|))
 (3 3 (:REWRITE |(<= (/ x) y) with (< 0 x)|))
 (3 3 (:REWRITE |(< x (/ y)) with (< y 0)|))
 (3 3 (:REWRITE |(< 0 (* x y))|))
 (3 1 (:LINEAR SMAN::BYTEP-NTH-MP))
 (2 2 (:REWRITE |(equal x (if a b c))|))
 (2 2 (:REWRITE |(equal (if a b c) x)|))
 (2 2 (:REWRITE |(< (if a b c) x)|))
 )
(SMAN::!MI-DEFAULT-1
 (28 28 (:REWRITE DEFAULT-CDR))
 (12 12 (:REWRITE DEFAULT-CAR))
 (5 2 (:REWRITE SMAN::!NTH-NTH))
 (2 2 (:REWRITE REDUCE-INTEGERP-+))
 (2 2 (:REWRITE INTEGERP-MINUS-X))
 (2 2 (:META META-INTEGERP-CORRECT))
 (1 1 (:REWRITE THE-FLOOR-BELOW))
 (1 1 (:REWRITE THE-FLOOR-ABOVE))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (1 1 (:REWRITE SIMPLIFY-SUMS-<))
 (1 1 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (1 1 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (1 1 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (1 1 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (1 1 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (1 1 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (1 1 (:REWRITE INTEGERP-<-CONSTANT))
 (1 1 (:REWRITE DEFAULT-LESS-THAN-2))
 (1 1 (:REWRITE DEFAULT-LESS-THAN-1))
 (1 1 (:REWRITE CONSTANT-<-INTEGERP))
 (1 1 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (1 1 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (1 1 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (1 1 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (1 1 (:REWRITE |(< c (- x))|))
 (1 1 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (1 1 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (1 1 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (1 1 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (1 1 (:REWRITE |(< (/ x) 0)|))
 (1 1 (:REWRITE |(< (/ x) (/ y))|))
 (1 1 (:REWRITE |(< (- x) c)|))
 (1 1 (:REWRITE |(< (- x) (- y))|))
 (1 1 (:REWRITE |(< (* x y) 0)|))
 )
(SMAN::!R-DEFAULT-1-NON-NUMBER
 (36658 2 (:REWRITE |(logand (if a b c) x)|))
 (32028 2 (:REWRITE |(floor (if a b c) x)|))
 (23708 56 (:LINEAR LINEAR-FLOOR-BOUNDS-1))
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 (16369 207 (:REWRITE THE-FLOOR-ABOVE))
 (13196 13196 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
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 (13196 13196 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (11294 70 (:REWRITE SMAN::UNNECESSARY-FLOOR))
 (9738 64 (:REWRITE |(+ y x)|))
 (6308 1056 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (6014 156 (:REWRITE DEFAULT-PLUS-1))
 (5998 68 (:REWRITE CANCEL-FLOOR-+))
 (5616 54 (:REWRITE NORMALIZE-ADDENDS))
 (5418 68 (:REWRITE FLOOR-ZERO . 3))
 (5316 8 (:REWRITE SMAN::UNNECESSARY-MOD))
 (5112 568 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (5112 568 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
 (5112 568 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 1))
 (5112 568 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 1))
 (5112 568 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
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 (5022 68 (:REWRITE FLOOR-X-Y-=-1 . 2))
 (5022 68 (:REWRITE FLOOR-X-Y-=--1 . 2))
 (4726 2 (:REWRITE |(< (if a b c) x)|))
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 (3282 366 (:REWRITE |(* y x)|))
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 (2840 568 (:TYPE-PRESCRIPTION FLOOR-ZERO . 1))
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 (1704 154 (:REWRITE |(- (* c x))|))
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 (1056 1056 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
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 (758 2 (:REWRITE |(floor (floor x y) z)| . 1))
 (753 189 (:REWRITE DEFAULT-LESS-THAN-1))
 (694 8 (:REWRITE DEFAULT-MOD-RATIO))
 (593 189 (:REWRITE DEFAULT-LESS-THAN-2))
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 (542 68 (:REWRITE FLOOR-X-Y-=-1 . 3))
 (542 68 (:REWRITE FLOOR-X-Y-=--1 . 3))
 (542 68 (:REWRITE FLOOR-CANCEL-*-CONST))
 (524 524 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (474 70 (:REWRITE DEFAULT-FLOOR-1))
 (469 187 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
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 (217 181 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (210 8 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (210 8 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (210 8 (:REWRITE DEFAULT-MOD-1))
 (196 180 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (181 181 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (181 181 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (181 181 (:REWRITE INTEGERP-<-CONSTANT))
 (181 181 (:REWRITE CONSTANT-<-INTEGERP))
 (181 181 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
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 (181 181 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
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 (181 181 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (181 181 (:REWRITE |(< (/ x) (/ y))|))
 (181 181 (:REWRITE |(< (- x) c)|))
 (181 181 (:REWRITE |(< (- x) (- y))|))
 (180 180 (:REWRITE SIMPLIFY-SUMS-<))
 (158 158 (:REWRITE REDUCE-INTEGERP-+))
 (158 158 (:META META-INTEGERP-CORRECT))
 (123 123 (:REWRITE |(< (* x y) 0)|))
 (117 117 (:REWRITE |(< (/ x) 0)|))
 (116 116 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (116 116 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (109 109 (:TYPE-PRESCRIPTION SMAN::!R))
 (106 66 (:REWRITE |(floor (* x (/ y)) z) rewriting-goal-literal|))
 (90 18 (:REWRITE |(+ 0 x)|))
 (78 78 (:TYPE-PRESCRIPTION ABS))
 (70 70 (:REWRITE DEFAULT-FLOOR-2))
 (69 3 (:REWRITE ZP-OPEN))
 (66 66 (:REWRITE |(floor x (- y))| . 2))
 (66 66 (:REWRITE |(floor x (- y))| . 1))
 (66 66 (:REWRITE |(floor x (* y (/ z))) rewriting-goal-literal|))
 (66 66 (:REWRITE |(floor x (* y (/ z))) not rewriting-goal-literal|))
 (66 66 (:REWRITE |(floor (- x) y)| . 2))
 (66 66 (:REWRITE |(floor (- x) y)| . 1))
 (38 38 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
 (36 36 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (36 18 (:REWRITE BUBBLE-DOWN-+-MATCH-1))
 (36 12 (:REWRITE SMAN::!R-R))
 (36 4 (:REWRITE FLOOR-POSITIVE . 2))
 (36 4 (:REWRITE FLOOR-NONPOSITIVE . 1))
 (32 32 (:TYPE-PRESCRIPTION SMAN::STP))
 (32 32 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (32 32 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (32 32 (:REWRITE |(< 0 (/ x))|))
 (32 32 (:REWRITE |(< 0 (* x y))|))
 (30 6 (:REWRITE |(mod (* x (/ y)) z) rewriting-goal-literal|))
 (21 8 (:REWRITE SMAN::!MI-MI))
 (20 4 (:REWRITE FLOOR-POSITIVE . 4))
 (20 4 (:REWRITE FLOOR-POSITIVE . 3))
 (20 4 (:REWRITE FLOOR-NONPOSITIVE . 3))
 (20 4 (:REWRITE FLOOR-NONPOSITIVE . 2))
 (18 18 (:REWRITE |(+ x (- x))|))
 (18 2 (:REWRITE ACL2-NUMBERP-X))
 (12 4 (:REWRITE SMAN::STP-!MI))
 (10 2 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
 (10 2 (:TYPE-PRESCRIPTION MOD-ZERO . 1))
 (10 2 (:TYPE-PRESCRIPTION MOD-POSITIVE . 2))
 (10 2 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (10 2 (:REWRITE FLOOR-=-X/Y . 4))
 (10 2 (:REWRITE |(equal (floor (+ x y) z) x)|))
 (10 2 (:REWRITE |(+ c (+ d x))|))
 (8 8 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (8 8 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (8 8 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (8 8 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (8 8 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (8 8 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (8 8 (:REWRITE DEFAULT-MOD-2))
 (8 8 (:REWRITE |(equal c (/ x))|))
 (8 8 (:REWRITE |(equal c (- x))|))
 (8 8 (:REWRITE |(equal (/ x) c)|))
 (8 8 (:REWRITE |(equal (/ x) (/ y))|))
 (8 8 (:REWRITE |(equal (- x) c)|))
 (8 8 (:REWRITE |(equal (- x) (- y))|))
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 (6 6 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-ODD-EXPONENT))
 (6 6 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (6 6 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (6 6 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (6 6 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (6 6 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
 (6 6 (:REWRITE |(mod x (- y))| . 3))
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 (2 2 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (2 2 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
 (2 2 (:TYPE-PRESCRIPTION INTEGERP-MOD-1))
 (2 2 (:REWRITE REDUCE-RATIONALP-+))
 (2 2 (:REWRITE REDUCE-RATIONALP-*))
 (2 2 (:REWRITE RATIONALP-MINUS-X))
 (2 2 (:REWRITE FLOOR-ZERO . 1))
 (2 2 (:REWRITE |(mod (floor x y) z)| . 5))
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 (2 2 (:REWRITE |(< y (+ (- c) x))|))
 (2 2 (:REWRITE |(< x (+ c/d y))|))
 (2 2 (:META META-RATIONALP-CORRECT))
 )
(SMAN::!R-DEFAULT-1-NUMBER-NOT-INTEGER
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 (55212 470 (:REWRITE THE-FLOOR-ABOVE))
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 (1910 22 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
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 (903 24 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
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 (305 305 (:REWRITE |(expt (- x) n)|))
 (259 259 (:REWRITE |(< (* x y) 0)|))
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 (239 239 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (239 239 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (221 12 (:REWRITE FLOOR-POSITIVE . 4))
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 (172 172 (:REWRITE |(floor x (- y))| . 2))
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 (172 172 (:REWRITE |(floor (- x) y)| . 2))
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 (164 6 (:REWRITE FLOOR-=-X/Y . 4))
 (164 6 (:REWRITE |(equal (floor (+ x y) z) x)|))
 (131 131 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B-EXPT))
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 (131 131 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B-EXPT))
 (131 131 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B-EXPT))
 (128 20 (:REWRITE |(floor (floor x y) z)| . 4))
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 (126 1 (:REWRITE |(* (if a b c) x)|))
 (105 17 (:LINEAR EXPT-LINEAR-LOWER-<=))
 (98 98 (:TYPE-PRESCRIPTION SMAN::STP))
 (96 2 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A-EXPT))
 (93 93 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
 (86 18 (:REWRITE SMAN::!R-R))
 (79 29 (:REWRITE SMAN::!MI-MI))
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 (69 69 (:REWRITE |(< 0 (* x y))|))
 (69 17 (:LINEAR EXPT->=-1-ONE))
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 (65 65 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (65 65 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (65 65 (:REWRITE |(< 0 (/ x))|))
 (53 8 (:TYPE-PRESCRIPTION MOD-ZERO . 4))
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 (50 8 (:TYPE-PRESCRIPTION MOD-POSITIVE . 2))
 (50 8 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (46 46 (:REWRITE |(+ x (- x))|))
 (46 16 (:REWRITE |(mod x (* y (/ z))) rewriting-goal-literal|))
 (44 20 (:REWRITE SMAN::STP-!MI))
 (43 17 (:LINEAR EXPT-X->=-X))
 (43 17 (:LINEAR EXPT-X->-X))
 (43 1 (:REWRITE |(mod x 1)|))
 (40 22 (:REWRITE DEFAULT-MOD-2))
 (34 34 (:LINEAR EXPT-IS-WEAKLY-INCREASING-FOR-BASE->-1))
 (34 34 (:LINEAR EXPT-IS-WEAKLY-DECREASING-FOR-POS-BASE-<-1))
 (34 34 (:LINEAR EXPT-IS-DECREASING-FOR-POS-BASE-<-1))
 (30 24 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (26 10 (:REWRITE DEFAULT-CDR))
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 (24 24 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (24 24 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (24 24 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (24 24 (:REWRITE |(equal c (/ x))|))
 (24 24 (:REWRITE |(equal c (- x))|))
 (24 24 (:REWRITE |(equal (/ x) c)|))
 (24 24 (:REWRITE |(equal (/ x) (/ y))|))
 (24 24 (:REWRITE |(equal (- x) c)|))
 (24 24 (:REWRITE |(equal (- x) (- y))|))
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 (21 21 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (20 20 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (18 8 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
 (17 17 (:LINEAR EXPT-LINEAR-UPPER-<=))
 (17 17 (:LINEAR EXPT-LINEAR-UPPER-<))
 (17 17 (:LINEAR EXPT-LINEAR-LOWER-<))
 (17 17 (:LINEAR EXPT->=-1-TWO))
 (17 17 (:LINEAR EXPT->-1-TWO))
 (17 17 (:LINEAR EXPT-<=-1-TWO))
 (17 17 (:LINEAR EXPT-<=-1-ONE))
 (17 17 (:LINEAR EXPT-<-1-TWO))
 (17 17 (:LINEAR EXPT-<-1-ONE))
 (16 16 (:REWRITE |(mod x (- y))| . 3))
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 (16 16 (:REWRITE |(mod x (- y))| . 1))
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 (15 15 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
 (12 12 (:REWRITE FLOOR-POSITIVE . 1))
 (8 8 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
 (8 8 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (8 8 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (8 8 (:TYPE-PRESCRIPTION MOD-NONNEGATIVE))
 (8 8 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (8 8 (:TYPE-PRESCRIPTION INTEGERP-MOD-1))
 (7 7 (:REWRITE |(< x (+ c/d y))|))
 (7 7 (:REWRITE |(< (+ c/d x) y)|))
 (6 6 (:REWRITE FLOOR-ZERO . 1))
 (6 6 (:REWRITE |(mod (floor x y) z)| . 5))
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 (4 4 (:REWRITE REDUCE-RATIONALP-+))
 (4 4 (:REWRITE REDUCE-RATIONALP-*))
 (4 4 (:REWRITE RATIONALP-X))
 (4 4 (:REWRITE RATIONALP-MINUS-X))
 (4 4 (:META META-RATIONALP-CORRECT))
 (3 3 (:REWRITE |(< y (+ (- c) x))|))
 (2 2 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A-EXPT))
 (2 2 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A-EXPT))
 (2 2 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A-EXPT))
 (2 2 (:REWRITE |(equal (* x y) 0)|))
 (2 2 (:REWRITE |(< 0 (* x y)) rationalp (* x y)|))
 (2 2 (:REWRITE |(* c (* d x))|))
 )
(SMAN::!R-DEFAULT-1-NEGATIVE-INTEGER-CASE-1
 (176322 188 (:LINEAR LINEAR-FLOOR-BOUNDS-1))
 (68937 670 (:REWRITE THE-FLOOR-ABOVE))
 (63420 63420 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
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 (35421 30 (:REWRITE MOD-X-Y-=-X-Y . 2))
 (34723 30 (:REWRITE MOD-X-Y-=-X+Y . 2))
 (34242 229 (:REWRITE CANCEL-FLOOR-+))
 (33662 30 (:REWRITE MOD-X-Y-=-X . 4))
 (27428 234 (:REWRITE SMAN::UNNECESSARY-FLOOR))
 (27417 2797 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (27417 2797 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
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 (27417 2797 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 1))
 (27417 2797 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
 (25778 1021 (:REWRITE DEFAULT-PLUS-1))
 (25718 1021 (:REWRITE DEFAULT-PLUS-2))
 (22431 229 (:REWRITE FLOOR-X-Y-=-1 . 2))
 (21751 229 (:REWRITE FLOOR-ZERO . 3))
 (20625 229 (:REWRITE FLOOR-X-Y-=--1 . 2))
 (20571 3156 (:REWRITE DEFAULT-TIMES-1))
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 (19063 2481 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
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 (4828 94 (:LINEAR LINEAR-FLOOR-BOUNDS-3))
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 (4605 4605 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
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 (4605 4605 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
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 (2728 557 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
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 (2492 223 (:REWRITE |(floor x (* y (/ z))) not rewriting-goal-literal|))
 (2485 30 (:REWRITE |(mod (+ x (mod a b)) y)|))
 (2485 30 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
 (2481 2481 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
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 (570 223 (:REWRITE |(floor (* x (/ y)) z) rewriting-goal-literal|))
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 (562 562 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
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 (562 562 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (562 562 (:REWRITE |(< (/ x) (/ y))|))
 (562 562 (:REWRITE |(< (- x) c)|))
 (562 562 (:REWRITE |(< (- x) (- y))|))
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 (474 223 (:REWRITE |(floor x (* y (/ z))) rewriting-goal-literal|))
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 (402 402 (:REWRITE |(expt (- x) n)|))
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 (341 21 (:REWRITE |(floor (floor x y) z)| . 5))
 (338 338 (:REWRITE |(< (/ x) 0)|))
 (335 2 (:REWRITE |(* (if a b c) x)|))
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 (334 334 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (297 9 (:REWRITE SMAN::!R-!MI-BELOW))
 (256 15 (:REWRITE FLOOR-POSITIVE . 4))
 (256 15 (:REWRITE FLOOR-NONPOSITIVE . 3))
 (245 5 (:REWRITE SMAN::!MI-!MI-DIFF))
 (223 223 (:REWRITE |(floor x (- y))| . 2))
 (223 223 (:REWRITE |(floor x (- y))| . 1))
 (223 223 (:REWRITE |(floor (- x) y)| . 2))
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 (185 8 (:REWRITE FLOOR-=-X/Y . 4))
 (185 8 (:REWRITE |(equal (floor (+ x y) z) x)|))
 (155 155 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B-EXPT))
 (155 155 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B-EXPT))
 (155 155 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B-EXPT))
 (155 155 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B-EXPT))
 (155 23 (:LINEAR EXPT-LINEAR-LOWER-<=))
 (138 138 (:TYPE-PRESCRIPTION SMAN::STP))
 (132 24 (:REWRITE SMAN::!R-R))
 (129 21 (:REWRITE |(floor (floor x y) z)| . 4))
 (129 21 (:REWRITE |(floor (floor x y) z)| . 3))
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 (121 121 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
 (101 23 (:LINEAR EXPT->=-1-ONE))
 (101 23 (:LINEAR EXPT->-1-ONE))
 (99 99 (:REWRITE |(< 0 (* x y))|))
 (96 2 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A-EXPT))
 (95 95 (:REWRITE |(< 0 (/ x))|))
 (94 94 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (94 94 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (94 33 (:REWRITE SMAN::!MI-MI))
 (90 46 (:LINEAR EXPT-IS-INCREASING-FOR-BASE->-1))
 (75 31 (:REWRITE SMAN::STP-!MI))
 (72 12 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
 (72 12 (:TYPE-PRESCRIPTION MOD-ZERO . 1))
 (72 12 (:TYPE-PRESCRIPTION MOD-POSITIVE . 2))
 (72 12 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (67 22 (:REWRITE |(mod x (* y (/ z))) rewriting-goal-literal|))
 (66 12 (:TYPE-PRESCRIPTION MOD-ZERO . 4))
 (59 59 (:REWRITE |(+ x (- x))|))
 (57 30 (:REWRITE DEFAULT-MOD-2))
 (49 23 (:LINEAR EXPT-X->=-X))
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 (46 46 (:LINEAR EXPT-IS-WEAKLY-INCREASING-FOR-BASE->-1))
 (46 46 (:LINEAR EXPT-IS-WEAKLY-DECREASING-FOR-POS-BASE-<-1))
 (46 46 (:LINEAR EXPT-IS-DECREASING-FOR-POS-BASE-<-1))
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 (32 32 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
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 (32 32 (:REWRITE |(equal c (/ x))|))
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 (22 22 (:REWRITE |(mod x (- y))| . 3))
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 (8 8 (:REWRITE |(mod (floor x y) z)| . 3))
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 (2 2 (:REWRITE |(* c (* d x))|))
 (1 1 (:REWRITE FOLD-CONSTS-IN-+))
 )
(SMAN::ASH-0
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 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (1 1 (:REWRITE SIMPLIFY-SUMS-<))
 (1 1 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (1 1 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (1 1 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (1 1 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (1 1 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (1 1 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (1 1 (:REWRITE INTEGERP-<-CONSTANT))
 (1 1 (:REWRITE DEFAULT-LESS-THAN-2))
 (1 1 (:REWRITE DEFAULT-LESS-THAN-1))
 (1 1 (:REWRITE DEFAULT-FLOOR-2))
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 (1 1 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
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 (1 1 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (1 1 (:REWRITE |(< (/ x) 0)|))
 (1 1 (:REWRITE |(< (/ x) (/ y))|))
 (1 1 (:REWRITE |(< (- x) c)|))
 (1 1 (:REWRITE |(< (- x) (- y))|))
 (1 1 (:REWRITE |(< (* x y) 0)|))
 (1 1 (:REWRITE |(* 1 x)|))
 )
(SMAN::ASH-ASH-LEMMA1
 (4657 10 (:LINEAR LINEAR-FLOOR-BOUNDS-1))
 (3775 68 (:REWRITE THE-FLOOR-ABOVE))
 (2921 2921 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (2921 2921 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (2921 2921 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
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 (2559 16 (:REWRITE FLOOR-ZERO . 4))
 (2363 1 (:REWRITE |(< (if a b c) x)|))
 (2357 16 (:REWRITE FLOOR-ZERO . 5))
 (2153 13 (:REWRITE |(+ y x)|))
 (1984 16 (:REWRITE CANCEL-FLOOR-+))
 (1934 16 (:REWRITE FLOOR-X-Y-=-1 . 2))
 (1903 16 (:REWRITE FLOOR-ZERO . 3))
 (1314 251 (:REWRITE DEFAULT-TIMES-1))
 (1298 44 (:REWRITE DEFAULT-PLUS-1))
 (1292 44 (:REWRITE DEFAULT-PLUS-2))
 (1152 128 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (1152 128 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
 (1152 128 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 1))
 (1152 128 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 1))
 (1152 128 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
 (958 17 (:REWRITE DEFAULT-FLOOR-RATIO))
 (945 16 (:REWRITE FLOOR-=-X/Y . 2))
 (936 16 (:REWRITE FLOOR-=-X/Y . 3))
 (700 251 (:REWRITE DEFAULT-TIMES-2))
 (640 128 (:TYPE-PRESCRIPTION FLOOR-ZERO . 4))
 (640 128 (:TYPE-PRESCRIPTION FLOOR-ZERO . 3))
 (640 128 (:TYPE-PRESCRIPTION FLOOR-ZERO . 1))
 (640 128 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 3))
 (640 128 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 2))
 (640 128 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 3))
 (640 128 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 2))
 (640 128 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 3))
 (640 128 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 2))
 (640 128 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 3))
 (640 128 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
 (603 31 (:REWRITE |(* (- x) y)|))
 (545 61 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (511 64 (:REWRITE DEFAULT-LESS-THAN-1))
 (460 10 (:REWRITE |(* (* x y) z)|))
 (458 5 (:REWRITE |(integerp (- x))|))
 (431 9 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (396 396 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (396 396 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (396 396 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (396 396 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (326 61 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (313 60 (:REWRITE INTEGERP-MINUS-X))
 (290 56 (:REWRITE DEFAULT-MINUS))
 (274 68 (:REWRITE THE-FLOOR-BELOW))
 (251 16 (:REWRITE FLOOR-ZERO . 2))
 (251 16 (:REWRITE FLOOR-X-Y-=-1 . 3))
 (251 16 (:REWRITE FLOOR-X-Y-=--1 . 3))
 (237 17 (:REWRITE DEFAULT-FLOOR-1))
 (224 16 (:REWRITE FLOOR-CANCEL-*-CONST))
 (210 64 (:REWRITE DEFAULT-LESS-THAN-2))
 (189 61 (:REWRITE SIMPLIFY-SUMS-<))
 (184 184 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (184 184 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (184 184 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (184 184 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (184 16 (:REWRITE FLOOR-CANCEL-*-REWRITING-GOAL-LITERAL))
 (166 16 (:REWRITE |(/ (expt x n))|))
 (160 16 (:REWRITE DEFAULT-DIVIDE))
 (152 63 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (126 1 (:REWRITE |(* (if a b c) x)|))
 (102 1 (:REWRITE ODD-EXPT-THM))
 (79 5 (:LINEAR LINEAR-FLOOR-BOUNDS-3))
 (68 61 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (62 2 (:REWRITE |(floor x 1)|))
 (61 61 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (61 61 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (61 61 (:REWRITE INTEGERP-<-CONSTANT))
 (61 61 (:REWRITE CONSTANT-<-INTEGERP))
 (61 61 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (61 61 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
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 (61 61 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (61 61 (:REWRITE |(< c (- x))|))
 (61 61 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (61 61 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (61 61 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (61 61 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (61 61 (:REWRITE |(< (/ x) (/ y))|))
 (61 61 (:REWRITE |(< (- x) c)|))
 (61 61 (:REWRITE |(< (- x) (- y))|))
 (59 5 (:LINEAR LINEAR-FLOOR-BOUNDS-2))
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 (53 17 (:REWRITE DEFAULT-FLOOR-2))
 (53 13 (:REWRITE |(floor (* x (/ y)) z) not rewriting-goal-literal|))
 (51 51 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (49 49 (:REWRITE REDUCE-INTEGERP-+))
 (49 49 (:META META-INTEGERP-CORRECT))
 (47 3 (:LINEAR EXPT-LINEAR-LOWER-<=))
 (43 43 (:REWRITE |(< (* x y) 0)|))
 (41 41 (:TYPE-PRESCRIPTION INTEGERP-/-EXPT-1))
 (41 41 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (41 41 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (41 41 (:REWRITE |(< (/ x) 0)|))
 (35 13 (:REWRITE |(floor (* x (/ y)) z) rewriting-goal-literal|))
 (29 29 (:REWRITE DEFAULT-EXPT-2))
 (29 29 (:REWRITE DEFAULT-EXPT-1))
 (29 29 (:REWRITE |(expt (- x) n)|))
 (29 3 (:LINEAR EXPT->=-1-ONE))
 (29 3 (:LINEAR EXPT->-1-ONE))
 (18 18 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
 (16 16 (:TYPE-PRESCRIPTION ABS))
 (15 15 (:REWRITE |(floor x (- y))| . 2))
 (15 15 (:REWRITE |(floor x (- y))| . 1))
 (15 15 (:REWRITE |(floor (- x) y)| . 2))
 (15 15 (:REWRITE |(floor (- x) y)| . 1))
 (13 13 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (13 13 (:REWRITE |(floor x (* y (/ z))) not rewriting-goal-literal|))
 (10 10 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (10 10 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (10 10 (:REWRITE |(< 0 (/ x))|))
 (10 10 (:REWRITE |(< 0 (* x y))|))
 (10 10 (:REWRITE |(- (- x))|))
 (9 1 (:REWRITE FLOOR-POSITIVE . 2))
 (9 1 (:REWRITE FLOOR-NONPOSITIVE . 1))
 (6 6 (:LINEAR EXPT-IS-WEAKLY-INCREASING-FOR-BASE->-1))
 (6 6 (:LINEAR EXPT-IS-WEAKLY-DECREASING-FOR-POS-BASE-<-1))
 (6 6 (:LINEAR EXPT-IS-INCREASING-FOR-BASE->-1))
 (6 6 (:LINEAR EXPT-IS-DECREASING-FOR-POS-BASE-<-1))
 (5 1 (:REWRITE FLOOR-POSITIVE . 4))
 (5 1 (:REWRITE FLOOR-POSITIVE . 3))
 (5 1 (:REWRITE FLOOR-NONPOSITIVE . 3))
 (5 1 (:REWRITE FLOOR-NONPOSITIVE . 2))
 (4 4 (:REWRITE |(+ x (- x))|))
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 (3 3 (:LINEAR EXPT-X->-X))
 (3 3 (:LINEAR EXPT-LINEAR-UPPER-<=))
 (3 3 (:LINEAR EXPT-LINEAR-UPPER-<))
 (3 3 (:LINEAR EXPT-LINEAR-LOWER-<))
 (3 3 (:LINEAR EXPT->=-1-TWO))
 (3 3 (:LINEAR EXPT->-1-TWO))
 (3 3 (:LINEAR EXPT-<=-1-TWO))
 (3 3 (:LINEAR EXPT-<=-1-ONE))
 (3 3 (:LINEAR EXPT-<-1-TWO))
 (3 3 (:LINEAR EXPT-<-1-ONE))
 (2 2 (:REWRITE |(< 0 (* x y)) rationalp (* x y)|))
 (2 2 (:REWRITE |(* a (/ a) b)|))
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 (1 1 (:REWRITE |(floor (floor x y) z)| . 5))
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 (1 1 (:REWRITE |(floor (floor x y) z)| . 3))
 (1 1 (:REWRITE |(floor (floor x y) z)| . 2))
 )
(SMAN::ASH-ASH-LEMMA2
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 (7589 61 (:REWRITE THE-FLOOR-ABOVE))
 (7232 2991 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B))
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 (2991 2991 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (2991 2991 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
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 (903 129 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 2))
 (903 129 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 3))
 (903 129 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
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 (298 56 (:REWRITE DEFAULT-LESS-THAN-2))
 (228 16 (:REWRITE FLOOR-CANCEL-*-REWRITING-GOAL-LITERAL))
 (220 220 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B-EXPT))
 (220 220 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B-EXPT))
 (220 220 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B-EXPT))
 (220 220 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B-EXPT))
 (210 6 (:LINEAR LINEAR-FLOOR-BOUNDS-2))
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 (195 15 (:REWRITE |(floor (* x (/ y)) z) not rewriting-goal-literal|))
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 (111 111 (:REWRITE |(expt (- x) n)|))
 (106 1 (:REWRITE |(* y (* x z))|))
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 (79 14 (:LINEAR EXPT-IS-WEAKLY-INCREASING-FOR-BASE->-1))
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 (60 15 (:REWRITE |(floor x (* y (/ z))) rewriting-goal-literal|))
 (60 15 (:REWRITE |(floor (* x (/ y)) z) rewriting-goal-literal|))
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 (55 55 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
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 (55 55 (:REWRITE |(< (/ x) (/ y))|))
 (55 55 (:REWRITE |(< (- x) (- y))|))
 (54 54 (:REWRITE REMOVE-STRICT-INEQUALITIES))
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 (54 54 (:REWRITE CONSTANT-<-INTEGERP))
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 (54 54 (:REWRITE |(< (- x) c)|))
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 (42 42 (:META META-INTEGERP-CORRECT))
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 (36 36 (:REWRITE |(< (/ x) 0)|))
 (36 36 (:REWRITE |(< (* x y) 0)|))
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 (21 21 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (19 2 (:REWRITE |(* (expt x m) (expt x n))|))
 (17 17 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A-EXPT))
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 (17 17 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A-EXPT))
 (15 15 (:REWRITE |(floor x (- y))| . 2))
 (15 15 (:REWRITE |(floor x (- y))| . 1))
 (15 15 (:REWRITE |(floor (- x) y)| . 2))
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 (14 14 (:LINEAR EXPT-IS-WEAKLY-DECREASING-FOR-POS-BASE-<-1))
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 (12 12 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
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 (9 9 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (9 9 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
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 (7 7 (:LINEAR EXPT->=-1-TWO))
 (7 7 (:LINEAR EXPT->-1-TWO))
 (7 7 (:LINEAR EXPT->-1-ONE))
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 (7 7 (:LINEAR EXPT-<=-1-ONE))
 (7 7 (:LINEAR EXPT-<-1-TWO))
 (7 7 (:LINEAR EXPT-<-1-ONE))
 (6 6 (:REWRITE |(+ x (- x))|))
 (2 2 (:REWRITE ODD-EXPT-THM))
 (1 1 (:REWRITE FLOOR-POSITIVE . 1))
 (1 1 (:REWRITE |(floor (floor x y) z)| . 5))
 (1 1 (:REWRITE |(floor (floor x y) z)| . 4))
 (1 1 (:REWRITE |(floor (floor x y) z)| . 3))
 (1 1 (:REWRITE |(floor (floor x y) z)| . 2))
 (1 1 (:REWRITE |(- (- x))|))
 (1 1 (:REWRITE |(* 0 x)|))
 )
(SMAN::LOGAND-COMMUTES1
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 (149 149 (:TYPE-PRESCRIPTION |(< (logand x y) 0)| . 1))
 (36 36 (:REWRITE REDUCE-INTEGERP-+))
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 (36 36 (:META META-INTEGERP-CORRECT))
 (17 17 (:REWRITE LOGAND-CONSTANT-MASK))
 (16 4 (:LINEAR LOGAND-BOUNDS-POS . 2))
 (16 4 (:LINEAR LOGAND-BOUNDS-POS . 1))
 (16 4 (:LINEAR LOGAND-BOUNDS-NEG . 2))
 (16 4 (:LINEAR LOGAND-BOUNDS-NEG . 1))
 (3 3 (:REWRITE |(logand c d x)|))
 )
(SMAN::LOGAND-ABSORBTION
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 (112051 112051 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B))
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 (112051 112051 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (112051 112051 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
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 (92268 149 (:LINEAR LOGAND-BOUNDS-NEG . 2))
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 (90776 404 (:LINEAR LINEAR-FLOOR-BOUNDS-1))
 (69873 1977 (:REWRITE DEFAULT-PLUS-2))
 (66409 1977 (:REWRITE DEFAULT-PLUS-1))
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 (3980 1726 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
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 (3580 1726 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (3528 128 (:REWRITE FLOOR-ZERO . 5))
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 (3340 4 (:REWRITE |(+ y (+ x z))|))
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 (2514 3 (:REWRITE |(* (* x y) z)|))
 (2476 2432 (:TYPE-PRESCRIPTION |(< (logand x y) 0)| . 1))
 (2412 262 (:REWRITE |(- (* c x))|))
 (2386 57 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (2386 57 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
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 (2218 2218 (:REWRITE THE-FLOOR-BELOW))
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 (1850 1738 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
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 (1698 1698 (:REWRITE |(< (* x y) 0)|))
 (1486 1486 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (1486 1486 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (1486 1486 (:REWRITE |(< (/ x) 0)|))
 (1326 1326 (:REWRITE REMOVE-WEAK-INEQUALITIES))
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 (747 747 (:REWRITE DEFAULT-FLOOR-2))
 (643 643 (:REWRITE REDUCE-INTEGERP-+))
 (643 643 (:META META-INTEGERP-CORRECT))
 (640 128 (:REWRITE FLOOR-ZERO . 2))
 (640 128 (:REWRITE FLOOR-X-Y-=-1 . 3))
 (640 128 (:REWRITE FLOOR-X-Y-=--1 . 3))
 (640 128 (:REWRITE FLOOR-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (640 128 (:REWRITE |(floor (* x (/ y)) z) not rewriting-goal-literal|))
 (621 3 (:REWRITE |(<= (/ x) y) with (< 0 x)|))
 (621 3 (:REWRITE |(< x (/ y)) with (< 0 y)|))
 (595 595 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (528 128 (:REWRITE FLOOR-CANCEL-*-CONST))
 (442 442 (:TYPE-PRESCRIPTION ABS))
 (404 202 (:REWRITE BUBBLE-DOWN-+-MATCH-1))
 (309 309 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
 (202 202 (:REWRITE |(+ x (- x))|))
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 (128 128 (:REWRITE FLOOR-CANCEL-*-REWRITING-GOAL-LITERAL))
 (128 128 (:REWRITE |(floor x (- y))| . 2))
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 (128 128 (:REWRITE |(floor x (* y (/ z))) not rewriting-goal-literal|))
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 (100 100 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (100 100 (:REWRITE |(< 0 (/ x))|))
 (100 100 (:REWRITE |(< 0 (* x y))|))
 (63 57 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
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 (57 57 (:REWRITE |(equal c (/ x))|))
 (57 57 (:REWRITE |(equal c (- x))|))
 (57 57 (:REWRITE |(equal (/ x) c)|))
 (57 57 (:REWRITE |(equal (/ x) (/ y))|))
 (57 57 (:REWRITE |(equal (- x) c)|))
 (57 57 (:REWRITE |(equal (- x) (- y))|))
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 (1 1 (:REWRITE |(equal x (if a b c))|))
 )
(SMAN::!R-DEFAULT-1-NEGATIVE-INTEGER-CASE-2
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 (8577 237 (:REWRITE MOD-X-Y-=-X-Y . 2))
 (8470 237 (:REWRITE SMAN::UNNECESSARY-MOD))
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 (5967 237 (:REWRITE MOD-ZERO . 3))
 (5767 237 (:REWRITE MOD-ZERO . 4))
 (4765 490 (:REWRITE |(* (- x) y)|))
 (4103 4103 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (4103 4103 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (4103 4103 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (3892 2272 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (3384 2396 (:REWRITE DEFAULT-TIMES-2))
 (3147 237 (:REWRITE DEFAULT-MOD-RATIO))
 (3116 2396 (:REWRITE DEFAULT-TIMES-1))
 (2857 272 (:REWRITE SMAN::!R-DEFAULT-1-NEGATIVE-INTEGER-CASE-1))
 (2742 486 (:REWRITE DEFAULT-MINUS))
 (2359 1627 (:REWRITE DEFAULT-LESS-THAN-1))
 (2272 2272 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (2272 2272 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (2021 1477 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (1902 1477 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (1811 1627 (:REWRITE DEFAULT-LESS-THAN-2))
 (1628 1625 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (1627 1627 (:REWRITE THE-FLOOR-BELOW))
 (1627 1627 (:REWRITE THE-FLOOR-ABOVE))
 (1545 237 (:REWRITE MOD-X-Y-=-X . 2))
 (1545 237 (:REWRITE |(mod (+ x (mod a b)) y)|))
 (1545 237 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
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 (1482 1482 (:REWRITE CONSTANT-<-INTEGERP))
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 (1482 1482 (:REWRITE |(< (- x) (- y))|))
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 (1365 237 (:REWRITE |(mod (* x (/ y)) z) rewriting-goal-literal|))
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 (1323 27 (:REWRITE SMAN::!MI-!MI-DIFF))
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 (1170 1170 (:TYPE-PRESCRIPTION SMAN::STP))
 (959 370 (:REWRITE SMAN::!MI-MI))
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 (758 758 (:REWRITE |(< (/ x) 0)|))
 (754 754 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (754 754 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (649 403 (:REWRITE SMAN::STP-!MI))
 (647 647 (:META META-INTEGERP-CORRECT))
 (589 589 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (578 288 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (578 288 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (417 237 (:REWRITE DEFAULT-MOD-1))
 (398 288 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (331 331 (:REWRITE |(< 0 (* x y))|))
 (330 110 (:REWRITE DEFAULT-CDR))
 (330 110 (:REWRITE DEFAULT-CAR))
 (325 325 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (325 325 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (325 325 (:REWRITE |(< 0 (/ x))|))
 (303 289 (:REWRITE |(equal (/ x) c)|))
 (289 289 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (289 289 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (289 289 (:REWRITE |(equal c (/ x))|))
 (289 289 (:REWRITE |(equal (/ x) (/ y))|))
 (289 289 (:REWRITE |(equal (- x) (- y))|))
 (288 288 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (288 288 (:REWRITE |(equal c (- x))|))
 (288 288 (:REWRITE |(equal (- x) c)|))
 (237 237 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (237 237 (:REWRITE DEFAULT-MOD-2))
 (237 237 (:REWRITE |(mod x (- y))| . 3))
 (237 237 (:REWRITE |(mod x (- y))| . 2))
 (237 237 (:REWRITE |(mod x (- y))| . 1))
 (237 237 (:REWRITE |(mod x (* y (/ z))) rewriting-goal-literal|))
 (237 237 (:REWRITE |(mod x (* y (/ z))) not rewriting-goal-literal|))
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 (237 237 (:REWRITE |(mod (- x) y)| . 1))
 (237 237 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
 (233 233 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
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 (140 140 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-ODD-EXPONENT))
 (140 140 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (140 140 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (140 140 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (140 140 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (140 140 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
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 (111 15 (:REWRITE ACL2-NUMBERP-X))
 (60 60 (:REWRITE |(< x (+ c/d y))|))
 (54 54 (:REWRITE |(< y (+ (- c) x))|))
 (48 12 (:REWRITE RATIONALP-X))
 (38 38 (:REWRITE FOLD-CONSTS-IN-+))
 (38 38 (:REWRITE SMAN::ASH-ASH-LEMMA2))
 (27 27 (:TYPE-PRESCRIPTION NATP))
 (27 3 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (27 3 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
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 (27 1 (:REWRITE |(<= 1 (* (/ x) y)) with (< 0 x)|))
 (26 1 (:REWRITE |(< (* (/ x) y) 1) with (< 0 x)|))
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 (15 3 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 3))
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 (15 3 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 2))
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 (15 3 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
 (12 12 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (12 12 (:REWRITE REDUCE-RATIONALP-+))
 (12 12 (:REWRITE REDUCE-RATIONALP-*))
 (12 12 (:REWRITE RATIONALP-MINUS-X))
 (12 12 (:META META-RATIONALP-CORRECT))
 (9 3 (:REWRITE SMAN::STP-!R))
 (7 7 (:REWRITE |(< (+ (- c) x) y)|))
 (3 3 (:TYPE-PRESCRIPTION MOD-ZERO . 4))
 (3 3 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
 (3 3 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (3 3 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (3 3 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (3 3 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
 (2 2 (:REWRITE INTEGERP-+-REDUCE-CONSTANT))
 (1 1 (:REWRITE DEFAULT-DIVIDE))
 (1 1 (:REWRITE |(not (equal x (/ y)))|))
 (1 1 (:REWRITE |(equal x (/ y))|))
 (1 1 (:REWRITE |(<= 1 (* (/ x) y)) with (< x 0)|))
 (1 1 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
 (1 1 (:REWRITE |(< (* (/ x) y) 1) with (< x 0)|))
 (1 1 (:REWRITE |(/ (/ x))|))
 )
(SMAN::!R-DEFAULT-1-NEGATIVE-INTEGER
 (50658 56 (:LINEAR LINEAR-FLOOR-BOUNDS-1))
 (21946 242 (:REWRITE THE-FLOOR-ABOVE))
 (20712 14 (:REWRITE SMAN::UNNECESSARY-MOD))
 (20269 14 (:REWRITE MOD-ZERO . 4))
 (16131 14 (:REWRITE MOD-X-Y-=-X . 3))
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 (15507 14 (:REWRITE MOD-X-Y-=-X+Y . 2))
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 (12991 12991 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (12991 12991 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (12991 12991 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
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 (9322 588 (:REWRITE DEFAULT-PLUS-1))
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 (8089 84 (:REWRITE CANCEL-FLOOR-+))
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 (5449 5449 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (5449 5449 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
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 (472 472 (:REWRITE DEFAULT-EXPT-2))
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 (102 50 (:LINEAR EXPT-IS-WEAKLY-INCREASING-FOR-BASE->-1))
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 (84 84 (:REWRITE |(floor x (- y))| . 2))
 (84 84 (:REWRITE |(floor x (- y))| . 1))
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 (50 50 (:LINEAR EXPT-IS-WEAKLY-DECREASING-FOR-POS-BASE-<-1))
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 (50 14 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
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 (45 45 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (45 45 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
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 (30 14 (:REWRITE SMAN::!MI-MI))
 (30 8 (:REWRITE SMAN::!R-R))
 (25 25 (:REWRITE |(- (- x))|))
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 (20 14 (:REWRITE SIMPLIFY-SUMS-EQUAL))
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 (16 16 (:REWRITE |(+ x (- x))|))
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 (14 14 (:TYPE-PRESCRIPTION MOD-NONNEGATIVE))
 (14 14 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (14 14 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (14 14 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (14 14 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (14 14 (:REWRITE |(equal c (/ x))|))
 (14 14 (:REWRITE |(equal c (- x))|))
 (14 14 (:REWRITE |(equal (/ x) c)|))
 (14 14 (:REWRITE |(equal (/ x) (/ y))|))
 (14 14 (:REWRITE |(equal (- x) c)|))
 (14 14 (:REWRITE |(equal (- x) (- y))|))
 (14 14 (:REWRITE SMAN::!MI-DEFAULT-1))
 (12 12 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (12 12 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (12 4 (:REWRITE SMAN::STP-!MI))
 (10 10 (:REWRITE |(< y (+ (- c) x))|))
 (10 10 (:REWRITE |(< x (+ c/d y))|))
 (9 9 (:REWRITE |(< 0 (* x y)) rationalp (* x y)|))
 (8 8 (:REWRITE DEFAULT-LOGAND-1))
 (8 8 (:REWRITE |(mod x (- y))| . 3))
 (8 8 (:REWRITE |(mod x (- y))| . 2))
 (8 8 (:REWRITE |(mod x (- y))| . 1))
 (8 8 (:REWRITE |(mod (- x) y)| . 3))
 (8 8 (:REWRITE |(mod (- x) y)| . 2))
 (8 8 (:REWRITE |(mod (- x) y)| . 1))
 (7 7 (:REWRITE |(mod x (* y (/ z))) not rewriting-goal-literal|))
 (7 7 (:REWRITE SMAN::!R-!MI-BELOW))
 (7 1 (:REWRITE RATIONALP-X))
 (6 6 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
 (5 5 (:REWRITE |(equal (* x y) 0)|))
 (4 4 (:REWRITE ZP-OPEN))
 (4 4 (:REWRITE FLOOR-ZERO . 1))
 (4 4 (:REWRITE FLOOR-POSITIVE . 1))
 (4 4 (:REWRITE |(mod (floor x y) z)| . 5))
 (4 4 (:REWRITE |(mod (floor x y) z)| . 4))
 (4 4 (:REWRITE |(mod (floor x y) z)| . 3))
 (4 4 (:REWRITE |(mod (floor x y) z)| . 2))
 (4 4 (:REWRITE |(* c (* d x))|))
 (3 3 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A-EXPT))
 (3 3 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A-EXPT))
 (3 3 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A-EXPT))
 (2 2 (:REWRITE |(< (+ c/d x) y)|))
 (1 1 (:REWRITE REDUCE-RATIONALP-+))
 (1 1 (:REWRITE REDUCE-RATIONALP-*))
 (1 1 (:REWRITE RATIONALP-MINUS-X))
 (1 1 (:REWRITE |(equal x (if a b c))|))
 (1 1 (:META META-RATIONALP-CORRECT))
 )
(SMAN::!R-DEFAULT-1
 (613948 700 (:LINEAR LINEAR-FLOOR-BOUNDS-1))
 (271501 3009 (:REWRITE THE-FLOOR-ABOVE))
 (265800 194 (:REWRITE SMAN::UNNECESSARY-MOD))
 (250154 194 (:REWRITE MOD-ZERO . 4))
 (200714 190 (:REWRITE MOD-X-Y-=-X . 3))
 (199368 194 (:REWRITE MOD-X-Y-=-X-Y . 2))
 (193074 194 (:REWRITE MOD-X-Y-=-X+Y . 2))
 (186711 190 (:REWRITE MOD-X-Y-=-X . 4))
 (161829 161829 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (161829 161829 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (161829 161829 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (160455 160455 (:TYPE-PRESCRIPTION INTEGERP-/-EXPT-1))
 (133986 14450 (:REWRITE DEFAULT-TIMES-2))
 (122278 190 (:REWRITE CANCEL-MOD-+))
 (111178 7336 (:REWRITE DEFAULT-PLUS-2))
 (88929 6885 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (88929 6885 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
 (88929 6885 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 1))
 (88929 6885 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 1))
 (88929 6885 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
 (79798 934 (:REWRITE CANCEL-FLOOR-+))
 (69064 664 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (64038 934 (:REWRITE FLOOR-X-Y-=-1 . 2))
 (62294 4602 (:REWRITE |(* (- x) y)|))
 (58090 58090 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (58090 58090 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (58090 58090 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (58090 58090 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (55730 14450 (:REWRITE DEFAULT-TIMES-1))
 (55594 934 (:REWRITE FLOOR-ZERO . 3))
 (54262 350 (:LINEAR LINEAR-FLOOR-BOUNDS-3))
 (47907 6885 (:TYPE-PRESCRIPTION FLOOR-ZERO . 3))
 (47907 6885 (:TYPE-PRESCRIPTION FLOOR-ZERO . 1))
 (47907 6885 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 3))
 (47907 6885 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 2))
 (47907 6885 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 3))
 (47907 6885 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 2))
 (47907 6885 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 3))
 (47907 6885 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 2))
 (47907 6885 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 3))
 (47907 6885 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
 (46380 4638 (:REWRITE DEFAULT-DIVIDE))
 (42976 1002 (:REWRITE DEFAULT-FLOOR-RATIO))
 (42580 934 (:REWRITE FLOOR-=-X/Y . 2))
 (33154 194 (:REWRITE DEFAULT-MOD-RATIO))
 (31618 606 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (29034 934 (:REWRITE FLOOR-X-Y-=--1 . 2))
 (22840 934 (:REWRITE FLOOR-ZERO . 2))
 (22840 934 (:REWRITE FLOOR-X-Y-=-1 . 3))
 (22840 934 (:REWRITE FLOOR-X-Y-=--1 . 3))
 (22016 934 (:REWRITE FLOOR-ZERO . 5))
 (21998 934 (:REWRITE FLOOR-ZERO . 4))
 (18959 3009 (:REWRITE THE-FLOOR-BELOW))
 (18254 190 (:REWRITE |(mod (+ x (mod a b)) y)|))
 (18254 190 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
 (17858 190 (:REWRITE MOD-X-Y-=-X . 2))
 (17693 2711 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (14962 430 (:REWRITE |(integerp (- x))|))
 (13960 934 (:REWRITE FLOOR-CANCEL-*-CONST))
 (13913 2809 (:REWRITE DEFAULT-LESS-THAN-2))
 (11974 934 (:REWRITE FLOOR-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (11948 908 (:REWRITE |(floor x (* y (/ z))) not rewriting-goal-literal|))
 (11948 908 (:REWRITE |(floor (* x (/ y)) z) not rewriting-goal-literal|))
 (11124 2711 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (10002 1002 (:REWRITE SMAN::UNNECESSARY-FLOOR))
 (9798 194 (:REWRITE MOD-X-Y-=-X-Y . 3))
 (9798 194 (:REWRITE MOD-X-Y-=-X+Y . 3))
 (9580 120 (:REWRITE DEFAULT-LOGAND-2))
 (9570 1002 (:REWRITE DEFAULT-FLOOR-2))
 (9364 190 (:REWRITE MOD-CANCEL-*-CONST))
 (8695 241 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (8453 241 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (8310 194 (:REWRITE DEFAULT-MOD-1))
 (8080 350 (:LINEAR LINEAR-FLOOR-BOUNDS-2))
 (6957 2809 (:REWRITE DEFAULT-LESS-THAN-1))
 (5646 5646 (:REWRITE DEFAULT-EXPT-1))
 (5642 5642 (:REWRITE |(expt (- x) n)|))
 (5465 2711 (:REWRITE SIMPLIFY-SUMS-<))
 (5112 5112 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (3700 934 (:REWRITE FLOOR-CANCEL-*-REWRITING-GOAL-LITERAL))
 (3391 3391 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B-EXPT))
 (3391 3391 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B-EXPT))
 (3391 3391 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B-EXPT))
 (3391 3391 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B-EXPT))
 (3284 908 (:REWRITE |(floor (* x (/ y)) z) rewriting-goal-literal|))
 (3012 66 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A-EXPT))
 (2761 2757 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (2711 2711 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (2711 2711 (:REWRITE INTEGERP-<-CONSTANT))
 (2711 2711 (:REWRITE CONSTANT-<-INTEGERP))
 (2711 2711 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (2711 2711 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (2711 2711 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (2711 2711 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (2711 2711 (:REWRITE |(< c (- x))|))
 (2711 2711 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (2711 2711 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (2711 2711 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (2711 2711 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (2711 2711 (:REWRITE |(< (/ x) (/ y))|))
 (2711 2711 (:REWRITE |(< (- x) c)|))
 (2711 2711 (:REWRITE |(< (- x) (- y))|))
 (2442 306 (:LINEAR EXPT->-1-ONE))
 (2281 2281 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (1750 1750 (:REWRITE |(< (* x y) 0)|))
 (1702 1702 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (1702 1702 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (1702 1702 (:REWRITE |(< (/ x) 0)|))
 (1700 170 (:TYPE-PRESCRIPTION MOD-ZERO . 4))
 (1700 50 (:REWRITE FLOOR-POSITIVE . 3))
 (1662 42 (:REWRITE |(mod x 1)|))
 (1632 306 (:LINEAR EXPT->=-1-ONE))
 (1550 50 (:REWRITE FLOOR-POSITIVE . 2))
 (1550 50 (:REWRITE FLOOR-NONPOSITIVE . 1))
 (1454 306 (:LINEAR EXPT-LINEAR-LOWER-<=))
 (1364 1364 (:REWRITE REDUCE-INTEGERP-+))
 (1364 1364 (:META META-INTEGERP-CORRECT))
 (1308 1002 (:REWRITE DEFAULT-FLOOR-1))
 (1250 50 (:REWRITE FLOOR-POSITIVE . 4))
 (1250 50 (:REWRITE FLOOR-NONPOSITIVE . 3))
 (1250 50 (:REWRITE FLOOR-NONPOSITIVE . 2))
 (974 170 (:TYPE-PRESCRIPTION MOD-ZERO . 1))
 (974 170 (:TYPE-PRESCRIPTION MOD-POSITIVE . 2))
 (974 170 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (938 170 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
 (934 934 (:REWRITE |(floor x (- y))| . 2))
 (934 934 (:REWRITE |(floor x (- y))| . 1))
 (934 934 (:REWRITE |(floor (- x) y)| . 2))
 (934 934 (:REWRITE |(floor (- x) y)| . 1))
 (800 50 (:REWRITE FLOOR-=-X/Y . 4))
 (800 50 (:REWRITE |(equal (floor (+ x y) z) x)|))
 (716 612 (:LINEAR EXPT-IS-WEAKLY-INCREASING-FOR-BASE->-1))
 (696 696 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
 (664 664 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (664 664 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (664 664 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (660 660 (:TYPE-PRESCRIPTION SMAN::STP))
 (633 191 (:REWRITE SMAN::!R-R))
 (612 612 (:LINEAR EXPT-IS-WEAKLY-DECREASING-FOR-POS-BASE-<-1))
 (612 612 (:LINEAR EXPT-IS-INCREASING-FOR-BASE->-1))
 (612 612 (:LINEAR EXPT-IS-DECREASING-FOR-POS-BASE-<-1))
 (590 194 (:REWRITE DEFAULT-MOD-2))
 (533 90 (:REWRITE ACL2-NUMBERP-X))
 (475 475 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (475 475 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (475 475 (:REWRITE |(< 0 (/ x))|))
 (475 475 (:REWRITE |(< 0 (* x y))|))
 (462 170 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
 (444 24 (:REWRITE |(/ (if a b c))|))
 (391 135 (:REWRITE SMAN::!MI-MI))
 (337 241 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (306 306 (:LINEAR EXPT-X->=-X))
 (306 306 (:LINEAR EXPT-X->-X))
 (306 306 (:LINEAR EXPT-LINEAR-UPPER-<=))
 (306 306 (:LINEAR EXPT-LINEAR-UPPER-<))
 (306 306 (:LINEAR EXPT-LINEAR-LOWER-<))
 (306 306 (:LINEAR EXPT->=-1-TWO))
 (306 306 (:LINEAR EXPT->-1-TWO))
 (306 306 (:LINEAR EXPT-<=-1-TWO))
 (306 306 (:LINEAR EXPT-<=-1-ONE))
 (306 306 (:LINEAR EXPT-<-1-TWO))
 (306 306 (:LINEAR EXPT-<-1-ONE))
 (243 241 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (242 50 (:REWRITE RATIONALP-X))
 (241 241 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (241 241 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (241 241 (:REWRITE |(equal c (/ x))|))
 (241 241 (:REWRITE |(equal c (- x))|))
 (241 241 (:REWRITE |(equal (/ x) c)|))
 (241 241 (:REWRITE |(equal (/ x) (/ y))|))
 (241 241 (:REWRITE |(equal (- x) c)|))
 (241 241 (:REWRITE |(equal (- x) (- y))|))
 (206 170 (:TYPE-PRESCRIPTION INTEGERP-MOD-1))
 (204 204 (:REWRITE ODD-EXPT-THM))
 (200 200 (:REWRITE |(+ x (- x))|))
 (194 194 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (170 170 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
 (170 170 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (170 170 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (170 170 (:TYPE-PRESCRIPTION MOD-NONNEGATIVE))
 (170 170 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (154 154 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (135 135 (:REWRITE SMAN::!MI-DEFAULT-1))
 (126 64 (:REWRITE DEFAULT-CDR))
 (126 64 (:REWRITE DEFAULT-CAR))
 (122 122 (:REWRITE |(- (- x))|))
 (120 120 (:REWRITE DEFAULT-LOGAND-1))
 (114 38 (:REWRITE SMAN::STP-!MI))
 (108 108 (:REWRITE |(mod x (- y))| . 3))
 (108 108 (:REWRITE |(mod x (- y))| . 2))
 (108 108 (:REWRITE |(mod x (- y))| . 1))
 (108 108 (:REWRITE |(mod (- x) y)| . 3))
 (108 108 (:REWRITE |(mod (- x) y)| . 2))
 (108 108 (:REWRITE |(mod (- x) y)| . 1))
 (106 106 (:REWRITE |(< 0 (* x y)) rationalp (* x y)|))
 (102 102 (:REWRITE |(mod x (* y (/ z))) not rewriting-goal-literal|))
 (82 82 (:REWRITE |(equal (* x y) 0)|))
 (72 72 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
 (72 72 (:REWRITE |(* c (* d x))|))
 (66 66 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A-EXPT))
 (66 66 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A-EXPT))
 (66 66 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A-EXPT))
 (59 38 (:REWRITE SMAN::!R-!MI-BELOW))
 (50 50 (:REWRITE FLOOR-ZERO . 1))
 (50 50 (:REWRITE FLOOR-POSITIVE . 1))
 (50 50 (:REWRITE |(mod (floor x y) z)| . 5))
 (50 50 (:REWRITE |(mod (floor x y) z)| . 4))
 (50 50 (:REWRITE |(mod (floor x y) z)| . 3))
 (50 50 (:REWRITE |(mod (floor x y) z)| . 2))
 (46 46 (:REWRITE REDUCE-RATIONALP-+))
 (46 46 (:REWRITE REDUCE-RATIONALP-*))
 (46 46 (:REWRITE RATIONALP-MINUS-X))
 (46 46 (:REWRITE |(< (+ c/d x) y)|))
 (46 46 (:META META-RATIONALP-CORRECT))
 (40 40 (:REWRITE |(< y (+ (- c) x))|))
 (40 40 (:REWRITE |(< x (+ c/d y))|))
 (12 12 (:REWRITE ZP-OPEN))
 (4 4 (:REWRITE |(equal x (if a b c))|))
 )
(SMAN::ONE-BYTE-READ-STRONGER
 (575 575 (:TYPE-PRESCRIPTION SMAN::!R))
 (525 18 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (458 49 (:REWRITE ACL2-NUMBERP-X))
 (411 411 (:TYPE-PRESCRIPTION |(< (logand x y) 0)| . 1))
 (191 23 (:REWRITE RATIONALP-X))
 (169 18 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (169 18 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (120 20 (:LINEAR SMAN::BYTEP-MI))
 (96 96 (:REWRITE THE-FLOOR-BELOW))
 (96 96 (:REWRITE THE-FLOOR-ABOVE))
 (96 96 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (96 96 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (96 96 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (96 96 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (96 96 (:REWRITE INTEGERP-<-CONSTANT))
 (96 96 (:REWRITE DEFAULT-LESS-THAN-2))
 (96 96 (:REWRITE DEFAULT-LESS-THAN-1))
 (96 96 (:REWRITE CONSTANT-<-INTEGERP))
 (96 96 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (96 96 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (96 96 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (96 96 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (96 96 (:REWRITE |(< c (- x))|))
 (96 96 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (96 96 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (96 96 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (96 96 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (96 96 (:REWRITE |(< (/ x) (/ y))|))
 (96 96 (:REWRITE |(< (- x) c)|))
 (96 96 (:REWRITE |(< (- x) (- y))|))
 (87 87 (:REWRITE SIMPLIFY-SUMS-<))
 (87 87 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (87 87 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (74 74 (:REWRITE DEFAULT-PLUS-2))
 (74 74 (:REWRITE DEFAULT-PLUS-1))
 (64 64 (:REWRITE REDUCE-INTEGERP-+))
 (64 64 (:REWRITE INTEGERP-MINUS-X))
 (64 64 (:META META-INTEGERP-CORRECT))
 (60 20 (:REWRITE SMAN::STP-!R))
 (58 58 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (58 58 (:REWRITE NORMALIZE-ADDENDS))
 (51 51 (:REWRITE |(< (/ x) 0)|))
 (51 51 (:REWRITE |(< (* x y) 0)|))
 (51 14 (:REWRITE SMAN::!R-R))
 (49 49 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (49 49 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (47 47 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (47 47 (:REWRITE DEFAULT-TIMES-2))
 (47 47 (:REWRITE DEFAULT-TIMES-1))
 (47 47 (:REWRITE |(* (- x) y)|))
 (29 29 (:REWRITE DEFAULT-LOGAND-1))
 (27 27 (:TYPE-PRESCRIPTION |(< (logand x y) 0)| . 2))
 (27 9 (:REWRITE SMAN::!MI-MI))
 (26 26 (:REWRITE |(< y (+ (- c) x))|))
 (26 26 (:REWRITE |(< x (+ c/d y))|))
 (23 23 (:REWRITE REDUCE-RATIONALP-+))
 (23 23 (:REWRITE REDUCE-RATIONALP-*))
 (23 23 (:REWRITE RATIONALP-MINUS-X))
 (23 23 (:META META-RATIONALP-CORRECT))
 (18 18 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (18 18 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (18 18 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (18 18 (:REWRITE |(equal c (/ x))|))
 (18 18 (:REWRITE |(equal c (- x))|))
 (18 18 (:REWRITE |(equal (/ x) c)|))
 (18 18 (:REWRITE |(equal (/ x) (/ y))|))
 (18 18 (:REWRITE |(equal (- x) c)|))
 (18 18 (:REWRITE |(equal (- x) (- y))|))
 (18 18 (:REWRITE |(< 0 (/ x))|))
 (18 18 (:REWRITE |(< 0 (* x y))|))
 (16 16 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (16 16 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (14 14 (:REWRITE ZP-OPEN))
 (13 13 (:REWRITE DEFAULT-MINUS))
 (9 9 (:REWRITE SMAN::!MI-DEFAULT-1))
 (9 3 (:REWRITE SMAN::STP-!MI))
 (5 5 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (4 1 (:REWRITE SMAN::MI-!R-))
 (4 1 (:REWRITE SMAN::MI-!R+))
 (3 3 (:REWRITE |(equal x (if a b c))|))
 (3 3 (:REWRITE SMAN::!R-!MI-BELOW))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 )
(SMAN::WEAK-STP-IMPLIES-WEAK-ML-NON-ZERO)
(SMAN::WEAK-ML-!R-STRONGER
 (67570 70 (:LINEAR LINEAR-FLOOR-BOUNDS-1))
 (28184 422 (:REWRITE THE-FLOOR-ABOVE))
 (26353 16 (:REWRITE MOD-ZERO . 4))
 (24621 16 (:REWRITE SMAN::UNNECESSARY-MOD))
 (21336 16 (:REWRITE MOD-X-Y-=-X-Y . 2))
 (20801 16 (:REWRITE MOD-X-Y-=-X . 3))
 (20070 16 (:REWRITE MOD-X-Y-=-X+Y . 2))
 (19385 16 (:REWRITE MOD-X-Y-=-X . 4))
 (16384 16384 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (16384 16384 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (16384 16384 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (16320 16320 (:TYPE-PRESCRIPTION INTEGERP-/-EXPT-1))
 (14346 1413 (:REWRITE DEFAULT-TIMES-2))
 (12181 714 (:REWRITE DEFAULT-PLUS-1))
 (11775 714 (:REWRITE DEFAULT-PLUS-2))
 (11684 16 (:REWRITE CANCEL-MOD-+))
 (11542 101 (:REWRITE CANCEL-FLOOR-+))
 (9006 702 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (9006 702 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
 (9006 702 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 1))
 (9006 702 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 1))
 (9006 702 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
 (8147 101 (:REWRITE FLOOR-X-Y-=-1 . 2))
 (7462 7462 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (7462 7462 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (7462 7462 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (7462 7462 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (7436 101 (:REWRITE FLOOR-ZERO . 3))
 (6889 49 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (6529 421 (:REWRITE |(* (- x) y)|))
 (5695 1413 (:REWRITE DEFAULT-TIMES-1))
 (5512 101 (:REWRITE FLOOR-=-X/Y . 2))
 (4879 101 (:REWRITE DEFAULT-FLOOR-RATIO))
 (4860 486 (:REWRITE DEFAULT-DIVIDE))
 (4854 702 (:TYPE-PRESCRIPTION FLOOR-ZERO . 3))
 (4854 702 (:TYPE-PRESCRIPTION FLOOR-ZERO . 1))
 (4854 702 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 3))
 (4854 702 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 2))
 (4854 702 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 3))
 (4854 702 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 2))
 (4854 702 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 3))
 (4854 702 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 2))
 (4854 702 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 3))
 (4854 702 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
 (4816 16 (:REWRITE MOD-ZERO . 3))
 (4573 101 (:REWRITE FLOOR-=-X/Y . 3))
 (4212 297 (:REWRITE INTEGERP-MINUS-X))
 (4100 1057 (:REWRITE DEFAULT-MINUS))
 (3495 101 (:REWRITE FLOOR-X-Y-=--1 . 2))
 (3337 103 (:REWRITE |(integerp (- x))|))
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 (2753 101 (:REWRITE FLOOR-ZERO . 4))
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 (2420 101 (:REWRITE FLOOR-X-Y-=-1 . 3))
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 (2017 422 (:REWRITE THE-FLOOR-BELOW))
 (1886 41 (:REWRITE |(* (* x y) z)|))
 (1874 16 (:REWRITE |(mod (+ x (mod a b)) y)|))
 (1874 16 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
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 (1565 101 (:REWRITE FLOOR-CANCEL-*-CONST))
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 (1173 35 (:LINEAR LINEAR-FLOOR-BOUNDS-2))
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 (1147 97 (:REWRITE |(floor x (* y (/ z))) not rewriting-goal-literal|))
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 (943 16 (:REWRITE MOD-CANCEL-*-REWRITING-GOAL-LITERAL))
 (943 16 (:REWRITE MOD-CANCEL-*-CONST))
 (846 33 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (846 33 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (803 16 (:REWRITE DEFAULT-MOD-1))
 (765 378 (:REWRITE SIMPLIFY-SUMS-<))
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 (612 612 (:REWRITE DEFAULT-EXPT-1))
 (612 612 (:REWRITE |(expt (- x) n)|))
 (524 101 (:REWRITE FLOOR-CANCEL-*-REWRITING-GOAL-LITERAL))
 (522 522 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (460 97 (:REWRITE |(floor (* x (/ y)) z) rewriting-goal-literal|))
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 (393 393 (:REWRITE INTEGERP-<-CONSTANT))
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 (393 393 (:REWRITE |(< (- x) (- y))|))
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 )
(SMAN::STRONGER-DEMO-THM--NO-DIVERGENCE)
(SMAN::WEAK-STP-!MI
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(SMAN::WEAK-STP-!R
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 (2013 2013 (:REWRITE |(< 0 (/ x))|))
 (1996 1996 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (1996 1996 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (1971 616 (:REWRITE SMAN::!MI-MI))
 (1965 275 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
 (1696 355 (:REWRITE SMAN::!R-R))
 (1469 1469 (:REWRITE |(+ x (- x))|))
 (1283 623 (:REWRITE SMAN::STP-!MI))
 (914 362 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
 (850 322 (:LINEAR EXPT->-1-ONE))
 (830 194 (:REWRITE SMAN::STP-IMPLIES-WEAK-STP))
 (644 644 (:LINEAR EXPT-IS-WEAKLY-INCREASING-FOR-BASE->-1))
 (644 644 (:LINEAR EXPT-IS-WEAKLY-DECREASING-FOR-POS-BASE-<-1))
 (644 644 (:LINEAR EXPT-IS-INCREASING-FOR-BASE->-1))
 (644 644 (:LINEAR EXPT-IS-DECREASING-FOR-POS-BASE-<-1))
 (638 638 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (634 322 (:LINEAR EXPT->=-1-ONE))
 (589 589 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (589 589 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (589 589 (:REWRITE |(equal c (/ x))|))
 (589 589 (:REWRITE |(equal c (- x))|))
 (589 589 (:REWRITE |(equal (/ x) c)|))
 (589 589 (:REWRITE |(equal (/ x) (/ y))|))
 (589 589 (:REWRITE |(equal (- x) c)|))
 (589 589 (:REWRITE |(equal (- x) (- y))|))
 (580 580 (:REWRITE |(< 0 (* x y)) rationalp (* x y)|))
 (540 60 (:REWRITE |(* (/ x) (expt x n))|))
 (534 63 (:REWRITE ACL2-NUMBERP-X))
 (493 457 (:REWRITE DEFAULT-MOD-2))
 (453 453 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (410 410 (:REWRITE FLOOR-POSITIVE . 1))
 (406 154 (:REWRITE |(mod (floor x y) z)| . 4))
 (386 386 (:REWRITE |(< (+ c/d x) y)|))
 (370 223 (:REWRITE DEFAULT-CAR))
 (364 47 (:REWRITE SMAN::!MI-!MI-DIFF))
 (362 362 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
 (362 362 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (362 362 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (362 362 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (326 326 (:TYPE-PRESCRIPTION ASH))
 (322 322 (:LINEAR EXPT-X->=-X))
 (322 322 (:LINEAR EXPT-X->-X))
 (322 322 (:LINEAR EXPT-LINEAR-UPPER-<=))
 (322 322 (:LINEAR EXPT-LINEAR-UPPER-<))
 (322 322 (:LINEAR EXPT-LINEAR-LOWER-<=))
 (322 322 (:LINEAR EXPT-LINEAR-LOWER-<))
 (322 322 (:LINEAR EXPT->=-1-TWO))
 (322 322 (:LINEAR EXPT->-1-TWO))
 (322 322 (:LINEAR EXPT-<=-1-TWO))
 (322 322 (:LINEAR EXPT-<=-1-ONE))
 (322 322 (:LINEAR EXPT-<-1-TWO))
 (322 322 (:LINEAR EXPT-<-1-ONE))
 (279 279 (:REWRITE |(mod x (- y))| . 3))
 (279 279 (:REWRITE |(mod x (- y))| . 2))
 (279 279 (:REWRITE |(mod x (- y))| . 1))
 (279 279 (:REWRITE |(mod (- x) y)| . 3))
 (279 279 (:REWRITE |(mod (- x) y)| . 2))
 (279 279 (:REWRITE |(mod (- x) y)| . 1))
 (275 275 (:REWRITE |(mod x (* y (/ z))) not rewriting-goal-literal|))
 (268 4 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A-EXPT))
 (220 220 (:REWRITE |(- (- x))|))
 (219 63 (:REWRITE RATIONALP-X))
 (209 1 (:REWRITE |(* (if a b c) x)|))
 (196 196 (:REWRITE |(* c (* d x))|))
 (187 51 (:REWRITE SMAN::STP-!R))
 (176 176 (:REWRITE |(< x (+ c/d y))|))
 (174 174 (:REWRITE FOLD-CONSTS-IN-+))
 (166 166 (:REWRITE DEFAULT-LOGAND-1))
 (156 156 (:REWRITE |(equal (* x y) 0)|))
 (154 154 (:REWRITE FLOOR-ZERO . 1))
 (154 154 (:REWRITE |(< y (+ (- c) x))|))
 (142 142 (:REWRITE |(mod (floor x y) z)| . 2))
 (63 63 (:REWRITE REDUCE-RATIONALP-+))
 (63 63 (:REWRITE REDUCE-RATIONALP-*))
 (63 63 (:REWRITE RATIONALP-MINUS-X))
 (63 63 (:META META-RATIONALP-CORRECT))
 (59 32 (:REWRITE |(+ x (if a b c))|))
 (28 2 (:DEFINITION NFIX))
 (20 20 (:REWRITE |(< (+ (- c) x) y)|))
 (16 16 (:REWRITE |(equal x (if a b c))|))
 (8 4 (:REWRITE SMAN::ASH-ASH-LEMMA2))
 (6 6 (:REWRITE |(equal (+ (- c) x) y)|))
 (4 4 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A-EXPT))
 (4 4 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A-EXPT))
 (4 4 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A-EXPT))
 )
(SMAN::STRONGER-DEMO-THM
 (1346162 1434 (:LINEAR LINEAR-FLOOR-BOUNDS-1))
 (449720 6414 (:REWRITE THE-FLOOR-ABOVE))
 (410958 211 (:REWRITE MOD-ZERO . 4))
 (404663 211 (:REWRITE SMAN::UNNECESSARY-MOD))
 (368012 76 (:REWRITE SMAN::!R-R))
 (328007 211 (:REWRITE MOD-X-Y-=-X . 3))
 (325469 211 (:REWRITE MOD-X-Y-=-X-Y . 2))
 (315876 211 (:REWRITE MOD-X-Y-=-X+Y . 2))
 (297551 211 (:REWRITE MOD-X-Y-=-X . 4))
 (274174 274174 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (274174 274174 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (274174 274174 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (254476 367 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (221510 1766 (:REWRITE FLOOR-ZERO . 3))
 (220018 26272 (:REWRITE DEFAULT-TIMES-2))
 (203367 1766 (:REWRITE CANCEL-FLOOR-+))
 (190133 12343 (:REWRITE DEFAULT-PLUS-2))
 (185546 12343 (:REWRITE DEFAULT-PLUS-1))
 (177662 211 (:REWRITE CANCEL-MOD-+))
 (152879 12683 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (152879 12683 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
 (152879 12683 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 1))
 (152879 12683 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 1))
 (152879 12683 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
 (143725 13 (:REWRITE SMAN::!MI-MI))
 (143194 1766 (:REWRITE FLOOR-X-Y-=-1 . 2))
 (116468 116468 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (116468 116468 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (116468 116468 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (116468 116468 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (110464 7683 (:REWRITE |(* (- x) y)|))
 (108940 952 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (106732 717 (:LINEAR LINEAR-FLOOR-BOUNDS-3))
 (96871 26272 (:REWRITE DEFAULT-TIMES-1))
 (96244 1766 (:REWRITE FLOOR-=-X/Y . 2))
 (88317 1772 (:REWRITE DEFAULT-FLOOR-RATIO))
 (82847 8234 (:REWRITE DEFAULT-DIVIDE))
 (82781 12683 (:TYPE-PRESCRIPTION FLOOR-ZERO . 3))
 (82781 12683 (:TYPE-PRESCRIPTION FLOOR-ZERO . 1))
 (82781 12683 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 3))
 (82781 12683 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 2))
 (82781 12683 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 3))
 (82781 12683 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 2))
 (82781 12683 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 3))
 (82781 12683 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 2))
 (82781 12683 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 3))
 (82781 12683 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
 (72655 211 (:REWRITE MOD-ZERO . 3))
 (69290 19941 (:REWRITE DEFAULT-MINUS))
 (65707 3532 (:REWRITE INTEGERP-MINUS-X))
 (60731 1766 (:REWRITE FLOOR-X-Y-=--1 . 2))
 (54101 1613 (:REWRITE |(integerp (- x))|))
 (51389 945 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (47407 1766 (:REWRITE FLOOR-ZERO . 5))
 (47407 1766 (:REWRITE FLOOR-ZERO . 4))
 (44195 211 (:REWRITE DEFAULT-MOD-RATIO))
 (41762 1766 (:REWRITE FLOOR-ZERO . 2))
 (41762 1766 (:REWRITE FLOOR-X-Y-=-1 . 3))
 (41762 1766 (:REWRITE FLOOR-X-Y-=--1 . 3))
 (31619 6414 (:REWRITE THE-FLOOR-BELOW))
 (27524 211 (:REWRITE |(mod (+ x (mod a b)) y)|))
 (27524 211 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
 (27332 1766 (:REWRITE FLOOR-CANCEL-*-CONST))
 (26987 211 (:REWRITE MOD-X-Y-=-X . 2))
 (26692 14 (:LINEAR SMAN::DIVERGENT-ADDR-LEGAL))
 (25750 6082 (:REWRITE DEFAULT-LESS-THAN-2))
 (23714 1760 (:REWRITE FLOOR-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (23682 1728 (:REWRITE |(floor (* x (/ y)) z) not rewriting-goal-literal|))
 (22566 1728 (:REWRITE |(floor x (* y (/ z))) not rewriting-goal-literal|))
 (20995 20 (:LINEAR MOD-BOUNDS-1))
 (19850 1772 (:REWRITE SMAN::UNNECESSARY-FLOOR))
 (19069 717 (:LINEAR LINEAR-FLOOR-BOUNDS-2))
 (18106 367 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (17351 6082 (:REWRITE DEFAULT-LESS-THAN-1))
 (16256 1772 (:REWRITE DEFAULT-FLOOR-2))
 (14530 211 (:REWRITE MOD-X-Y-=-X-Y . 3))
 (14530 211 (:REWRITE MOD-X-Y-=-X+Y . 3))
 (13993 211 (:REWRITE MOD-CANCEL-*-CONST))
 (12668 211 (:REWRITE DEFAULT-MOD-1))
 (10303 9769 (:REWRITE DEFAULT-EXPT-2))
 (9769 9769 (:REWRITE DEFAULT-EXPT-1))
 (9769 9769 (:REWRITE |(expt (- x) n)|))
 (8106 8106 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (6176 100 (:REWRITE FLOOR-=-X/Y . 4))
 (6082 14 (:DEFINITION MIN))
 (5700 5700 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (5624 5624 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (5624 5624 (:REWRITE INTEGERP-<-CONSTANT))
 (5624 5624 (:REWRITE CONSTANT-<-INTEGERP))
 (5624 5624 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (5624 5624 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (5624 5624 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (5624 5624 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (5624 5624 (:REWRITE |(< c (- x))|))
 (5624 5624 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (5624 5624 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (5624 5624 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (5624 5624 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (5624 5624 (:REWRITE |(< (/ x) (/ y))|))
 (5624 5624 (:REWRITE |(< (- x) c)|))
 (5624 5624 (:REWRITE |(< (- x) (- y))|))
 (5214 1398 (:LINEAR EXPT-IS-INCREASING-FOR-BASE->-1))
 (5121 699 (:LINEAR EXPT->-1-ONE))
 (4840 4840 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (4836 1728 (:REWRITE |(floor (* x (/ y)) z) rewriting-goal-literal|))
 (4452 6 (:DEFINITION IFIX))
 (3996 3996 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B-EXPT))
 (3996 3996 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B-EXPT))
 (3996 3996 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B-EXPT))
 (3996 3996 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B-EXPT))
 (3938 1398 (:LINEAR EXPT-IS-WEAKLY-INCREASING-FOR-BASE->-1))
 (3910 121 (:REWRITE |(mod (* x (/ y)) z) rewriting-goal-literal|))
 (3582 699 (:LINEAR EXPT->=-1-ONE))
 (3437 3437 (:REWRITE REDUCE-INTEGERP-+))
 (3437 3437 (:META META-INTEGERP-CORRECT))
 (3230 1772 (:REWRITE DEFAULT-FLOOR-1))
 (3179 20 (:REWRITE SMAN::STP-!MI))
 (3122 3122 (:REWRITE |(< (* x y) 0)|))
 (3089 3089 (:REWRITE |(< (/ x) 0)|))
 (3057 3057 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (3057 3057 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (2756 83 (:REWRITE FLOOR-POSITIVE . 3))
 (2676 168 (:REWRITE |(floor x 1)|))
 (2586 1293 (:TYPE-PRESCRIPTION SMAN::NATP-NTH-MP))
 (2525 83 (:REWRITE FLOOR-POSITIVE . 2))
 (2525 83 (:REWRITE FLOOR-NONPOSITIVE . 1))
 (2495 699 (:LINEAR EXPT-X->-X))
 (2207 699 (:LINEAR EXPT-X->=-X))
 (2072 494 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
 (2072 494 (:TYPE-PRESCRIPTION MOD-ZERO . 1))
 (2072 494 (:TYPE-PRESCRIPTION MOD-POSITIVE . 2))
 (2072 494 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (2057 83 (:REWRITE FLOOR-NONPOSITIVE . 2))
 (2003 83 (:REWRITE FLOOR-POSITIVE . 4))
 (2003 83 (:REWRITE FLOOR-NONPOSITIVE . 3))
 (1843 699 (:LINEAR EXPT-LINEAR-LOWER-<=))
 (1760 1760 (:REWRITE |(floor x (- y))| . 2))
 (1760 1760 (:REWRITE |(floor x (- y))| . 1))
 (1760 1760 (:REWRITE |(floor (- x) y)| . 2))
 (1760 1760 (:REWRITE |(floor (- x) y)| . 1))
 (1576 100 (:REWRITE |(equal (floor (+ x y) z) x)|))
 (1398 1398 (:LINEAR EXPT-IS-WEAKLY-DECREASING-FOR-POS-BASE-<-1))
 (1398 1398 (:LINEAR EXPT-IS-DECREASING-FOR-POS-BASE-<-1))
 (1395 45 (:REWRITE |(mod x 1)|))
 (1121 1121 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
 (998 200 (:TYPE-PRESCRIPTION MAX))
 (952 952 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (952 952 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (952 952 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (940 468 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
 (924 924 (:REWRITE |(< 0 (* x y))|))
 (881 881 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (881 881 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (881 881 (:REWRITE |(< 0 (/ x))|))
 (880 10 (:LINEAR MOD-BOUNDS-3))
 (748 211 (:REWRITE DEFAULT-MOD-2))
 (735 699 (:LINEAR EXPT-<=-1-TWO))
 (735 699 (:LINEAR EXPT-<-1-TWO))
 (699 699 (:LINEAR EXPT-LINEAR-UPPER-<=))
 (699 699 (:LINEAR EXPT-LINEAR-UPPER-<))
 (699 699 (:LINEAR EXPT-LINEAR-LOWER-<))
 (699 699 (:LINEAR EXPT->=-1-TWO))
 (699 699 (:LINEAR EXPT->-1-TWO))
 (699 699 (:LINEAR EXPT-<=-1-ONE))
 (699 699 (:LINEAR EXPT-<-1-ONE))
 (570 498 (:REWRITE ODD-EXPT-THM))
 (540 16 (:TYPE-PRESCRIPTION MIN))
 (494 494 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
 (494 494 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (494 494 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (494 494 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (492 492 (:TYPE-PRESCRIPTION SMAN::R))
 (468 468 (:TYPE-PRESCRIPTION INTEGERP-MOD-1))
 (406 46 (:REWRITE ACL2-NUMBERP-X))
 (382 368 (:REWRITE |(equal (/ x) c)|))
 (379 199 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (368 368 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (368 368 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (368 368 (:REWRITE |(equal c (/ x))|))
 (368 368 (:REWRITE |(equal (/ x) (/ y))|))
 (368 368 (:REWRITE |(equal (- x) (- y))|))
 (367 367 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (367 367 (:REWRITE |(equal c (- x))|))
 (367 367 (:REWRITE |(equal (- x) c)|))
 (359 359 (:REWRITE |(< (+ c/d x) y)|))
 (326 326 (:REWRITE |(< (+ (- c) x) y)|))
 (319 319 (:REWRITE |(< y (+ (- c) x))|))
 (319 319 (:REWRITE |(< x (+ c/d y))|))
 (301 121 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
 (296 34 (:REWRITE SMAN::STP-!R))
 (286 13 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A-EXPT))
 (249 249 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (200 20 (:LINEAR MOD-BOUNDS-2))
 (190 190 (:REWRITE DEFAULT-LOGAND-1))
 (180 45 (:REWRITE RATIONALP-X))
 (168 72 (:LINEAR SMAN::R-BOUND))
 (140 140 (:REWRITE FOLD-CONSTS-IN-+))
 (140 10 (:REWRITE SMAN::!R-!R-DIFF-BELOW))
 (134 134 (:REWRITE |(mod x (- y))| . 3))
 (134 134 (:REWRITE |(mod x (- y))| . 2))
 (134 134 (:REWRITE |(mod x (- y))| . 1))
 (134 134 (:REWRITE |(mod (- x) y)| . 3))
 (134 134 (:REWRITE |(mod (- x) y)| . 2))
 (134 134 (:REWRITE |(mod (- x) y)| . 1))
 (121 121 (:REWRITE |(mod x (* y (/ z))) not rewriting-goal-literal|))
 (113 113 (:REWRITE |(< 0 (* x y)) rationalp (* x y)|))
 (87 29 (:LINEAR SMAN::BYTEP-NTH-MP))
 (83 83 (:REWRITE FLOOR-ZERO . 1))
 (83 83 (:REWRITE FLOOR-POSITIVE . 1))
 (83 83 (:REWRITE |(mod (floor x y) z)| . 5))
 (83 83 (:REWRITE |(mod (floor x y) z)| . 4))
 (83 83 (:REWRITE |(mod (floor x y) z)| . 3))
 (83 83 (:REWRITE |(mod (floor x y) z)| . 2))
 (80 10 (:REWRITE SMAN::!R-!R-DIFF-ABOVE))
 (61 61 (:REWRITE |(equal (+ (- c) x) y)|))
 (57 57 (:REWRITE |(equal (* x y) 0)|))
 (54 6 (:REWRITE |(* (/ x) (expt x n))|))
 (45 45 (:REWRITE REDUCE-RATIONALP-+))
 (45 45 (:REWRITE REDUCE-RATIONALP-*))
 (45 45 (:REWRITE RATIONALP-MINUS-X))
 (45 45 (:META META-RATIONALP-CORRECT))
 (45 15 (:LINEAR SMAN::BYTEP-MI))
 (43 43 (:REWRITE |(<= (/ x) y) with (< x 0)|))
 (43 43 (:REWRITE |(<= (/ x) y) with (< 0 x)|))
 (43 43 (:REWRITE |(< x (/ y)) with (< y 0)|))
 (39 12 (:REWRITE DEFAULT-CDR))
 (39 12 (:REWRITE DEFAULT-CAR))
 (31 31 (:REWRITE |(* c (* d x))|))
 (26 26 (:TYPE-PRESCRIPTION INTEGERP-MOD-3))
 (19 19 (:TYPE-PRESCRIPTION SMAN::ML))
 (13 13 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A-EXPT))
 (13 13 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A-EXPT))
 (13 13 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A-EXPT))
 (13 13 (:REWRITE SMAN::!R-!MI-BELOW))
 (13 13 (:REWRITE SMAN::!MI-DEFAULT-1))
 (9 2 (:TYPE-PRESCRIPTION SMAN::NATP-I))
 (7 7 (:DEFINITION SMAN::ML))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:REWRITE |(not (equal x (/ y)))|))
 (1 1 (:REWRITE |(equal x (/ y))|))
 (1 1 (:REWRITE |(/ (/ x))|))
 )
(SMAN::!R-SIMPLE-ABSORBTION-LEMMA1)
(SMAN::!R-SIMPLE-ABSORBTION-LEMMA2
 (210 3 (:DEFINITION UPDATE-NTH))
 (195 6 (:REWRITE SMAN::!NTH-NTH))
 (123 3 (:REWRITE |(< (+ (- c) x) y)|))
 (42 42 (:TYPE-PRESCRIPTION LEN))
 (27 27 (:REWRITE DEFAULT-CDR))
 (21 3 (:DEFINITION LEN))
 (15 9 (:REWRITE DEFAULT-PLUS-2))
 (12 12 (:REWRITE DEFAULT-CAR))
 (12 6 (:REWRITE DEFAULT-LESS-THAN-2))
 (9 9 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (9 9 (:REWRITE NORMALIZE-ADDENDS))
 (9 9 (:REWRITE DEFAULT-PLUS-1))
 (6 6 (:REWRITE THE-FLOOR-BELOW))
 (6 6 (:REWRITE THE-FLOOR-ABOVE))
 (6 6 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (6 6 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (6 6 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (6 6 (:REWRITE DEFAULT-LESS-THAN-1))
 (6 3 (:REWRITE SIMPLIFY-SUMS-<))
 (6 3 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (6 3 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (3 3 (:REWRITE ZP-OPEN))
 (3 3 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (3 3 (:REWRITE REDUCE-INTEGERP-+))
 (3 3 (:REWRITE INTEGERP-MINUS-X))
 (3 3 (:REWRITE INTEGERP-<-CONSTANT))
 (3 3 (:REWRITE CONSTANT-<-INTEGERP))
 (3 3 (:REWRITE |(< y (+ (- c) x))|))
 (3 3 (:REWRITE |(< x (+ c/d y))|))
 (3 3 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (3 3 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (3 3 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (3 3 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (3 3 (:REWRITE |(< c (- x))|))
 (3 3 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (3 3 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (3 3 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (3 3 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (3 3 (:REWRITE |(< (/ x) (/ y))|))
 (3 3 (:REWRITE |(< (- x) c)|))
 (3 3 (:REWRITE |(< (- x) (- y))|))
 (3 3 (:REWRITE |(< (+ c/d x) y)|))
 (3 3 (:META META-INTEGERP-CORRECT))
 )
(SMAN::!R-SIMPLE-ABSORBTION-LEMMA3
 (36448 2 (:REWRITE |(logand y (if a b c))|))
 (32028 2 (:REWRITE |(floor (if a b c) x)|))
 (23708 56 (:LINEAR LINEAR-FLOOR-BOUNDS-1))
 (17706 13386 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B))
 (16477 315 (:REWRITE THE-FLOOR-ABOVE))
 (13386 13386 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (13386 13386 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (13386 13386 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (11542 78 (:REWRITE SMAN::UNNECESSARY-FLOOR))
 (9738 64 (:REWRITE |(+ y x)|))
 (6508 1256 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (6422 76 (:REWRITE CANCEL-FLOOR-+))
 (6057 199 (:REWRITE DEFAULT-PLUS-1))
 (5930 76 (:REWRITE FLOOR-ZERO . 3))
 (5643 81 (:REWRITE NORMALIZE-ADDENDS))
 (5564 16 (:REWRITE SMAN::UNNECESSARY-MOD))
 (5324 76 (:REWRITE FLOOR-ZERO . 4))
 (5294 76 (:REWRITE FLOOR-X-Y-=--1 . 2))
 (5270 76 (:REWRITE FLOOR-X-Y-=-1 . 2))
 (5180 16 (:REWRITE MOD-ZERO . 4))
 (5094 566 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (5094 566 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
 (5094 566 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 1))
 (5094 566 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 1))
 (5094 566 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
 (4918 6 (:REWRITE |(< (if a b c) x)|))
 (4834 16 (:REWRITE MOD-X-Y-=-X . 3))
 (4682 76 (:REWRITE FLOOR-ZERO . 5))
 (4616 16 (:REWRITE MOD-X-Y-=-X+Y . 2))
 (4574 16 (:REWRITE MOD-X-Y-=-X-Y . 2))
 (4476 360 (:REWRITE INTEGERP-MINUS-X))
 (4260 1150 (:REWRITE DEFAULT-TIMES-2))
 (4192 16 (:REWRITE MOD-X-Y-=-X . 4))
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 (14 14 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
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 )
(SMAN::!R-SIMPLE-ABSORBTION
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 (95 95 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
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 (3 3 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A-EXPT))
 (3 3 (:REWRITE |(equal (* x y) 0)|))
 (3 3 (:REWRITE |(* c (* d x))|))
 )
(SMAN::LEMMA1
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 (2006 2006 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
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 )
(SMAN::!R-INNER-ABSORBTION-NATP-CASE
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 (30 30 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
 (30 30 (:REWRITE |(mod x (- y))| . 3))
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 (20 4 (:REWRITE |(equal (floor (+ x y) z) x)|))
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 (8 8 (:REWRITE FLOOR-POSITIVE . 1))
 (6 6 (:REWRITE |(< y (+ (- c) x))|))
 (6 6 (:REWRITE |(< x (+ c/d y))|))
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 (4 4 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (4 4 (:TYPE-PRESCRIPTION MOD-NONNEGATIVE))
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 (4 4 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
 (4 4 (:TYPE-PRESCRIPTION INTEGERP-MOD-1))
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 (3 3 (:REWRITE RATIONALP-MINUS-X))
 (3 3 (:META META-RATIONALP-CORRECT))
 )
(SMAN::!M-SIMPLE-ABSORBTION-LEMMA
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 (410 46 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (366 18 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (328 8 (:REWRITE |(< (+ (- c) x) y)|))
 (298 42 (:REWRITE ACL2-NUMBERP-X))
 (153 21 (:REWRITE ZP-OPEN))
 (146 146 (:TYPE-PRESCRIPTION LEN))
 (128 14 (:REWRITE RATIONALP-X))
 (128 14 (:DEFINITION LEN))
 (110 18 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (110 18 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (102 76 (:REWRITE DEFAULT-PLUS-2))
 (76 76 (:REWRITE DEFAULT-PLUS-1))
 (68 16 (:REWRITE |(+ c (+ d x))|))
 (64 46 (:REWRITE DEFAULT-LESS-THAN-2))
 (48 48 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (48 48 (:REWRITE NORMALIZE-ADDENDS))
 (46 46 (:REWRITE THE-FLOOR-BELOW))
 (46 46 (:REWRITE THE-FLOOR-ABOVE))
 (46 46 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (46 46 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (46 46 (:REWRITE DEFAULT-LESS-THAN-1))
 (36 26 (:REWRITE SIMPLIFY-SUMS-<))
 (36 26 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (36 26 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (28 22 (:REWRITE DEFAULT-CAR))
 (26 26 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (26 26 (:REWRITE INTEGERP-<-CONSTANT))
 (26 26 (:REWRITE CONSTANT-<-INTEGERP))
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 (12 12 (:REWRITE |(< x (+ c/d y))|))
 (12 12 (:REWRITE |(< (* x y) 0)|))
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 (8 8 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (4 4 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (4 4 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (4 4 (:REWRITE |(< 0 (/ x))|))
 (4 4 (:REWRITE |(< 0 (* x y))|))
 (2 2 (:REWRITE |(< x (if a b c))|))
 (2 2 (:REWRITE |(+ x (if a b c))|))
 )
(SMAN::!M-SIMPLE-ABSORBTION
 (140 2 (:DEFINITION UPDATE-NTH))
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 (116 86 (:REWRITE DEFAULT-CDR))
 (84 60 (:REWRITE DEFAULT-CAR))
 (82 2 (:REWRITE |(< (+ (- c) x) y)|))
 (78 39 (:TYPE-PRESCRIPTION TRUE-LISTP-UPDATE-NTH))
 (51 12 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
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 (39 39 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (28 28 (:TYPE-PRESCRIPTION LEN))
 (19 12 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (19 12 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (16 4 (:REWRITE RATIONALP-X))
 (14 2 (:DEFINITION LEN))
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 (12 12 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (12 12 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (12 12 (:REWRITE |(equal c (/ x))|))
 (12 12 (:REWRITE |(equal c (- x))|))
 (12 12 (:REWRITE |(equal (/ x) c)|))
 (12 12 (:REWRITE |(equal (/ x) (/ y))|))
 (12 12 (:REWRITE |(equal (- x) c)|))
 (12 12 (:REWRITE |(equal (- x) (- y))|))
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 (6 6 (:REWRITE REDUCE-INTEGERP-+))
 (6 6 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (6 6 (:REWRITE NORMALIZE-ADDENDS))
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 (6 6 (:REWRITE DEFAULT-PLUS-1))
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 (4 4 (:REWRITE THE-FLOOR-BELOW))
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 (2 2 (:REWRITE |(< (- x) (- y))|))
 (2 2 (:REWRITE |(< (+ c/d x) y)|))
 )
(SMAN::!M-INNER-ABSORBTION
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 (24269 3867 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
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 (22236 676 (:REWRITE DEFAULT-PLUS-1))
 (21236 34 (:REWRITE SMAN::UNNECESSARY-MOD))
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 (252 252 (:REWRITE |(floor x (- y))| . 2))
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 (252 252 (:REWRITE |(floor x (* y (/ z))) rewriting-goal-literal|))
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 )
(SMAN::!R-0-!M-0
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 (5430 80 (:REWRITE FLOOR-X-Y-=--1 . 2))
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 )
(SMAN::!R-BASE-CASE
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 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
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 (1 1 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (1 1 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (1 1 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (1 1 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (1 1 (:REWRITE REDUCE-INTEGERP-+))
 (1 1 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (1 1 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (1 1 (:REWRITE INTEGERP-MINUS-X))
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 (1 1 (:REWRITE DEFAULT-LESS-THAN-2))
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 (1 1 (:REWRITE |(< (- x) (- y))|))
 (1 1 (:REWRITE |(< (* x y) 0)|))
 (1 1 (:META META-INTEGERP-CORRECT))
 )
(SMAN::!R-INNER-ABSORBTION
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 (1667 1667 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (1667 1667 (:REWRITE |(< 0 (/ x))|))
 (1667 1667 (:REWRITE |(< 0 (* x y))|))
 (1460 467 (:REWRITE RATIONALP-X))
 (1386 1386 (:LINEAR EXPT-X->=-X))
 (1386 1386 (:LINEAR EXPT-X->-X))
 (1386 1386 (:LINEAR EXPT-LINEAR-UPPER-<=))
 (1386 1386 (:LINEAR EXPT-LINEAR-UPPER-<))
 (1386 1386 (:LINEAR EXPT-LINEAR-LOWER-<))
 (1386 1386 (:LINEAR EXPT->=-1-TWO))
 (1386 1386 (:LINEAR EXPT->-1-TWO))
 (1386 1386 (:LINEAR EXPT-<=-1-TWO))
 (1386 1386 (:LINEAR EXPT-<=-1-ONE))
 (1386 1386 (:LINEAR EXPT-<-1-TWO))
 (1386 1386 (:LINEAR EXPT-<-1-ONE))
 (1360 408 (:REWRITE SMAN::!R-R))
 (1336 766 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (1100 1100 (:REWRITE SMAN::!MI-DEFAULT-1))
 (783 783 (:REWRITE ODD-EXPT-THM))
 (766 766 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (766 766 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (766 766 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (766 766 (:REWRITE |(equal c (/ x))|))
 (766 766 (:REWRITE |(equal c (- x))|))
 (766 766 (:REWRITE |(equal (/ x) c)|))
 (766 766 (:REWRITE |(equal (/ x) (/ y))|))
 (766 766 (:REWRITE |(equal (- x) c)|))
 (766 766 (:REWRITE |(equal (- x) (- y))|))
 (714 348 (:REWRITE DEFAULT-CDR))
 (714 348 (:REWRITE DEFAULT-CAR))
 (682 682 (:TYPE-PRESCRIPTION MOD-ZERO . 3))
 (682 682 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (682 682 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (682 682 (:TYPE-PRESCRIPTION MOD-NONNEGATIVE))
 (682 682 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (668 668 (:REWRITE |(+ x (- x))|))
 (642 642 (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL))
 (537 537 (:REWRITE |(- (- x))|))
 (527 527 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (513 171 (:REWRITE SMAN::STP-!MI))
 (467 467 (:REWRITE REDUCE-RATIONALP-+))
 (467 467 (:REWRITE REDUCE-RATIONALP-*))
 (467 467 (:REWRITE RATIONALP-MINUS-X))
 (467 467 (:META META-RATIONALP-CORRECT))
 (466 466 (:REWRITE |(mod x (- y))| . 3))
 (466 466 (:REWRITE |(mod x (- y))| . 2))
 (466 466 (:REWRITE |(mod x (- y))| . 1))
 (466 466 (:REWRITE |(mod (- x) y)| . 3))
 (466 466 (:REWRITE |(mod (- x) y)| . 2))
 (466 466 (:REWRITE |(mod (- x) y)| . 1))
 (424 424 (:REWRITE |(mod x (* y (/ z))) not rewriting-goal-literal|))
 (400 400 (:REWRITE |(mod (* x (/ y)) z) not rewriting-goal-literal|))
 (356 356 (:REWRITE ZP-OPEN))
 (346 346 (:REWRITE DEFAULT-LOGAND-1))
 (334 114 (:REWRITE SMAN::STP-!R))
 (279 18 (:REWRITE SMAN::!R-!MI-BELOW))
 (196 196 (:REWRITE |(< y (+ (- c) x))|))
 (196 196 (:REWRITE |(< x (+ c/d y))|))
 (196 196 (:REWRITE |(< 0 (* x y)) rationalp (* x y)|))
 (176 176 (:REWRITE |(mod (floor x y) z)| . 5))
 (176 176 (:REWRITE |(mod (floor x y) z)| . 4))
 (176 176 (:REWRITE |(mod (floor x y) z)| . 3))
 (176 176 (:REWRITE |(mod (floor x y) z)| . 2))
 (176 176 (:REWRITE |(< (+ c/d x) y)|))
 (167 167 (:REWRITE FLOOR-ZERO . 1))
 (167 167 (:REWRITE FLOOR-POSITIVE . 1))
 (114 6 (:REWRITE SMAN::!R-!R-DIFF-ABOVE))
 (97 6 (:REWRITE SMAN::!R-!R-DIFF-BELOW))
 (90 90 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A-EXPT))
 (90 90 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A-EXPT))
 (90 90 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A-EXPT))
 (90 90 (:REWRITE |(* c (* d x))|))
 (78 78 (:REWRITE |(equal (* x y) 0)|))
 )
(SMAN::INTEGERP-PRODUCT-BY-EXPT
 (213 213 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-POSITIVE-BASE))
 (213 213 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (213 213 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NON-0-BASE))
 (213 213 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (213 213 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (213 213 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (213 213 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
 (153 13 (:REWRITE DEFAULT-TIMES-2))
 (33 13 (:REWRITE DEFAULT-TIMES-1))
 (26 1 (:REWRITE |(integerp (expt x n))|))
 (22 20 (:REWRITE DEFAULT-PLUS-1))
 (21 21 (:REWRITE REDUCE-INTEGERP-+))
 (21 21 (:REWRITE INTEGERP-MINUS-X))
 (20 20 (:TYPE-PRESCRIPTION RATIONALP-EXPT-TYPE-PRESCRIPTION))
 (20 20 (:REWRITE DEFAULT-PLUS-2))
 (19 1 (:REWRITE |(expt x (+ m n)) non-zero (+ m n)|))
 (14 1 (:REWRITE |(expt x (+ m n)) non-zero x|))
 (12 12 (:REWRITE DEFAULT-EXPT-2))
 (12 12 (:REWRITE DEFAULT-EXPT-1))
 (11 11 (:REWRITE |(expt 1/c n)|))
 (11 11 (:REWRITE |(expt (- x) n)|))
 (10 10 (:REWRITE NORMALIZE-FACTORS-SCATTER-EXPONENTS))
 (9 9 (:REWRITE THE-FLOOR-BELOW))
 (9 9 (:REWRITE THE-FLOOR-ABOVE))
 (9 9 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (9 9 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (9 9 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (9 9 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (9 9 (:REWRITE INTEGERP-<-CONSTANT))
 (9 9 (:REWRITE DEFAULT-LESS-THAN-2))
 (9 9 (:REWRITE DEFAULT-LESS-THAN-1))
 (9 9 (:REWRITE CONSTANT-<-INTEGERP))
 (9 9 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (9 9 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (9 9 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (9 9 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (9 9 (:REWRITE |(< c (- x))|))
 (9 9 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (9 9 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (9 9 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (9 9 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (9 9 (:REWRITE |(< (/ x) (/ y))|))
 (9 9 (:REWRITE |(< (- x) c)|))
 (9 9 (:REWRITE |(< (- x) (- y))|))
 (8 8 (:REWRITE SIMPLIFY-PRODUCTS-SCATTER-EXPONENTS-<))
 (7 7 (:REWRITE SIMPLIFY-SUMS-<))
 (7 7 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (7 7 (:REWRITE |(< (/ x) 0)|))
 (7 7 (:REWRITE |(< (* x y) 0)|))
 (6 6 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (6 6 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (5 5 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
 (5 5 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (5 5 (:REWRITE SIMPLIFY-PRODUCTS-SCATTER-EXPONENTS-EQUAL))
 (5 5 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (5 5 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (5 5 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (5 5 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (5 5 (:REWRITE |(equal c (/ x))|))
 (5 5 (:REWRITE |(equal c (- x))|))
 (5 5 (:REWRITE |(equal (/ x) c)|))
 (5 5 (:REWRITE |(equal (/ x) (/ y))|))
 (5 5 (:REWRITE |(equal (- x) c)|))
 (5 5 (:REWRITE |(equal (- x) (- y))|))
 (4 4 (:REWRITE |(equal (+ (- c) x) y)|))
 (3 3 (:TYPE-PRESCRIPTION FIX))
 (2 2 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (2 2 (:REWRITE DEFAULT-MINUS))
 (2 2 (:REWRITE |(* c (* d x))|))
 (1 1 (:REWRITE |(< (+ c/d x) y)|))
 (1 1 (:REWRITE |(< (+ (- c) x) y)|))
 )
(SMAN::EXPT-2-8*SUM-PN
 (1234 36 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (456 44 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (313 3 (:LINEAR EXPT->=-1-ONE))
 (313 3 (:LINEAR EXPT-<=-1-TWO))
 (307 3 (:LINEAR EXPT->-1-ONE))
 (307 3 (:LINEAR EXPT-<-1-TWO))
 (246 3 (:LINEAR EXPT-X->=-X))
 (246 3 (:LINEAR EXPT-X->-X))
 (196 87 (:REWRITE DEFAULT-TIMES-2))
 (176 16 (:REWRITE |(* y (* x z))|))
 (175 152 (:REWRITE DEFAULT-PLUS-1))
 (152 152 (:REWRITE DEFAULT-PLUS-2))
 (134 87 (:REWRITE DEFAULT-TIMES-1))
 (74 74 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (74 74 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (74 74 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (74 74 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (74 74 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
 (44 44 (:REWRITE THE-FLOOR-BELOW))
 (44 44 (:REWRITE THE-FLOOR-ABOVE))
 (44 44 (:REWRITE DEFAULT-LESS-THAN-2))
 (44 44 (:REWRITE DEFAULT-LESS-THAN-1))
 (43 25 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (36 36 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (36 36 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (36 36 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (36 36 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (36 36 (:REWRITE INTEGERP-<-CONSTANT))
 (36 36 (:REWRITE CONSTANT-<-INTEGERP))
 (36 36 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (36 36 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (36 36 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (36 36 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (36 36 (:REWRITE |(< c (- x))|))
 (36 36 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (36 36 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (36 36 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (36 36 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (36 36 (:REWRITE |(< (/ x) (/ y))|))
 (36 36 (:REWRITE |(< (- x) c)|))
 (36 36 (:REWRITE |(< (- x) (- y))|))
 (18 18 (:REWRITE SIMPLIFY-SUMS-<))
 (16 16 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (16 16 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (16 16 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (16 16 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (16 16 (:REWRITE |(* a (/ a) b)|))
 (13 13 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (12 12 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (12 12 (:REWRITE |(< y (+ (- c) x))|))
 (12 12 (:REWRITE |(< x (+ c/d y))|))
 (12 12 (:REWRITE |(< (+ c/d x) y)|))
 (12 12 (:REWRITE |(< (+ (- c) x) y)|))
 (8 8 (:TYPE-PRESCRIPTION ABS))
 (6 6 (:REWRITE |(< 0 (/ x))|))
 (6 6 (:REWRITE |(< 0 (* x y))|))
 (6 6 (:REWRITE |(< (/ x) 0)|))
 (6 6 (:REWRITE |(< (* x y) 0)|))
 (6 6 (:REWRITE |(+ x (- x))|))
 (6 6 (:LINEAR EXPT-IS-WEAKLY-INCREASING-FOR-BASE->-1))
 (6 6 (:LINEAR EXPT-IS-WEAKLY-DECREASING-FOR-POS-BASE-<-1))
 (6 6 (:LINEAR EXPT-IS-INCREASING-FOR-BASE->-1))
 (6 6 (:LINEAR EXPT-IS-DECREASING-FOR-POS-BASE-<-1))
 (4 4 (:REWRITE DEFAULT-MINUS))
 (4 4 (:REWRITE |(* (- x) y)|))
 (3 3 (:LINEAR EXPT-LINEAR-UPPER-<=))
 (3 3 (:LINEAR EXPT-LINEAR-UPPER-<))
 (3 3 (:LINEAR EXPT-LINEAR-LOWER-<=))
 (3 3 (:LINEAR EXPT-LINEAR-LOWER-<))
 (3 3 (:LINEAR EXPT->=-1-TWO))
 (3 3 (:LINEAR EXPT->-1-TWO))
 (3 3 (:LINEAR EXPT-<=-1-ONE))
 (3 3 (:LINEAR EXPT-<-1-ONE))
 (2 2 (:REWRITE REDUCE-INTEGERP-+))
 (2 2 (:REWRITE INTEGERP-MINUS-X))
 (2 2 (:REWRITE DEFAULT-EXPT-2))
 (2 2 (:REWRITE DEFAULT-EXPT-1))
 (2 2 (:REWRITE |(expt 1/c n)|))
 (2 2 (:REWRITE |(expt (- x) n)|))
 (2 2 (:REWRITE |(+ c (+ d x))|))
 (2 2 (:META META-INTEGERP-CORRECT))
 (1 1 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (1 1 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (1 1 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (1 1 (:REWRITE |(equal c (/ x))|))
 (1 1 (:REWRITE |(equal c (- x))|))
 (1 1 (:REWRITE |(equal (expt 2 n) c)|))
 (1 1 (:REWRITE |(equal (/ x) c)|))
 (1 1 (:REWRITE |(equal (/ x) (/ y))|))
 (1 1 (:REWRITE |(equal (- x) c)|))
 (1 1 (:REWRITE |(equal (- x) (- y))|))
 )
(SMAN::EXPT-2-*-SUM-N8P
 (1002 44 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (700 56 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (254 3 (:LINEAR EXPT-X->=-X))
 (254 3 (:LINEAR EXPT-X->-X))
 (230 26 (:REWRITE CONSTANT-<-INTEGERP))
 (164 3 (:LINEAR EXPT->=-1-ONE))
 (164 3 (:LINEAR EXPT-<=-1-TWO))
 (161 3 (:LINEAR EXPT->-1-ONE))
 (161 3 (:LINEAR EXPT-<-1-TWO))
 (158 56 (:REWRITE DEFAULT-TIMES-2))
 (132 12 (:REWRITE |(* y (* x z))|))
 (112 56 (:REWRITE DEFAULT-TIMES-1))
 (72 72 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (72 72 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (72 72 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (72 72 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (72 72 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
 (72 18 (:REWRITE |(+ c (+ d x))|))
 (56 56 (:REWRITE THE-FLOOR-BELOW))
 (56 56 (:REWRITE THE-FLOOR-ABOVE))
 (56 56 (:REWRITE DEFAULT-LESS-THAN-2))
 (56 56 (:REWRITE DEFAULT-LESS-THAN-1))
 (51 49 (:REWRITE DEFAULT-PLUS-1))
 (49 49 (:REWRITE DEFAULT-PLUS-2))
 (44 44 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (26 26 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (26 26 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (26 26 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (26 26 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (26 26 (:REWRITE |(< c (- x))|))
 (26 26 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (26 26 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (26 26 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (26 26 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (26 26 (:REWRITE |(< (/ x) (/ y))|))
 (26 26 (:REWRITE |(< (- x) c)|))
 (26 26 (:REWRITE |(< (- x) (- y))|))
 (22 22 (:REWRITE SIMPLIFY-SUMS-<))
 (22 22 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (22 22 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (22 22 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (22 22 (:REWRITE INTEGERP-<-CONSTANT))
 (22 4 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (18 18 (:REWRITE |(+ 0 x)|))
 (14 14 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (12 12 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (12 12 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (12 12 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (12 12 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (12 12 (:TYPE-PRESCRIPTION ABS))
 (12 12 (:REWRITE |(< x (+ c/d y))|))
 (12 12 (:REWRITE |(* a (/ a) b)|))
 (6 6 (:REWRITE |(< 0 (* x y))|))
 (6 6 (:REWRITE |(< (+ c/d x) y)|))
 (6 6 (:REWRITE |(< (* x y) 0)|))
 (6 6 (:LINEAR EXPT-IS-WEAKLY-INCREASING-FOR-BASE->-1))
 (6 6 (:LINEAR EXPT-IS-WEAKLY-DECREASING-FOR-POS-BASE-<-1))
 (6 6 (:LINEAR EXPT-IS-INCREASING-FOR-BASE->-1))
 (6 6 (:LINEAR EXPT-IS-DECREASING-FOR-POS-BASE-<-1))
 (5 5 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (3 3 (:LINEAR EXPT-LINEAR-UPPER-<=))
 (3 3 (:LINEAR EXPT-LINEAR-UPPER-<))
 (3 3 (:LINEAR EXPT-LINEAR-LOWER-<=))
 (3 3 (:LINEAR EXPT-LINEAR-LOWER-<))
 (3 3 (:LINEAR EXPT->=-1-TWO))
 (3 3 (:LINEAR EXPT->-1-TWO))
 (3 3 (:LINEAR EXPT-<=-1-ONE))
 (3 3 (:LINEAR EXPT-<-1-ONE))
 (2 2 (:REWRITE DEFAULT-MINUS))
 (2 2 (:REWRITE DEFAULT-EXPT-2))
 (2 2 (:REWRITE DEFAULT-EXPT-1))
 (2 2 (:REWRITE |(expt 1/c n)|))
 (2 2 (:REWRITE |(expt (- x) n)|))
 (2 2 (:REWRITE |(* (- x) y)|))
 (1 1 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (1 1 (:REWRITE REDUCE-INTEGERP-+))
 (1 1 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (1 1 (:REWRITE INTEGERP-MINUS-X))
 (1 1 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (1 1 (:REWRITE |(equal c (/ x))|))
 (1 1 (:REWRITE |(equal c (- x))|))
 (1 1 (:REWRITE |(equal (expt 2 n) c)|))
 (1 1 (:REWRITE |(equal (/ x) c)|))
 (1 1 (:REWRITE |(equal (/ x) (/ y))|))
 (1 1 (:REWRITE |(equal (- x) c)|))
 (1 1 (:REWRITE |(equal (- x) (- y))|))
 (1 1 (:META META-INTEGERP-CORRECT))
 )
(SMAN::EXPT-2-*-SUM-PPN
 (1140 36 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (276 3 (:LINEAR EXPT->=-1-ONE))
 (276 3 (:LINEAR EXPT-<=-1-TWO))
 (273 3 (:LINEAR EXPT-X->=-X))
 (273 3 (:LINEAR EXPT-X->-X))
 (270 3 (:LINEAR EXPT->-1-ONE))
 (270 3 (:LINEAR EXPT-<-1-TWO))
 (242 215 (:REWRITE DEFAULT-PLUS-1))
 (215 215 (:REWRITE DEFAULT-PLUS-2))
 (99 52 (:REWRITE DEFAULT-TIMES-1))
 (97 52 (:REWRITE DEFAULT-TIMES-2))
 (78 78 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (78 78 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (78 78 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (78 78 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (78 78 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
 (47 29 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (42 42 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (36 36 (:REWRITE THE-FLOOR-BELOW))
 (36 36 (:REWRITE THE-FLOOR-ABOVE))
 (36 36 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (36 36 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (36 36 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (36 36 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (36 36 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (36 36 (:REWRITE INTEGERP-<-CONSTANT))
 (36 36 (:REWRITE DEFAULT-LESS-THAN-2))
 (36 36 (:REWRITE DEFAULT-LESS-THAN-1))
 (36 36 (:REWRITE CONSTANT-<-INTEGERP))
 (36 36 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (36 36 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
 (36 36 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
 (36 36 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (36 36 (:REWRITE |(< c (- x))|))
 (36 36 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (36 36 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (36 36 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (36 36 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (36 36 (:REWRITE |(< (/ x) (/ y))|))
 (36 36 (:REWRITE |(< (- x) c)|))
 (36 36 (:REWRITE |(< (- x) (- y))|))
 (24 24 (:REWRITE |(< y (+ (- c) x))|))
 (24 24 (:REWRITE |(< x (+ c/d y))|))
 (18 18 (:REWRITE SIMPLIFY-SUMS-<))
 (18 18 (:REWRITE |(< (+ c/d x) y)|))
 (18 18 (:REWRITE |(< (+ (- c) x) y)|))
 (12 12 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (10 10 (:REWRITE |(+ c (+ d x))|))
 (6 6 (:REWRITE FOLD-CONSTS-IN-+))
 (6 6 (:REWRITE DEFAULT-MINUS))
 (6 6 (:REWRITE |(< 0 (/ x))|))
 (6 6 (:REWRITE |(< 0 (* x y))|))
 (6 6 (:REWRITE |(< (/ x) 0)|))
 (6 6 (:REWRITE |(< (* x y) 0)|))
 (6 6 (:REWRITE |(+ x (- x))|))
 (6 6 (:REWRITE |(* (- x) y)|))
 (6 6 (:LINEAR EXPT-IS-WEAKLY-INCREASING-FOR-BASE->-1))
 (6 6 (:LINEAR EXPT-IS-WEAKLY-DECREASING-FOR-POS-BASE-<-1))
 (6 6 (:LINEAR EXPT-IS-INCREASING-FOR-BASE->-1))
 (6 6 (:LINEAR EXPT-IS-DECREASING-FOR-POS-BASE-<-1))
 (3 3 (:REWRITE REDUCE-INTEGERP-+))
 (3 3 (:REWRITE INTEGERP-MINUS-X))
 (3 3 (:META META-INTEGERP-CORRECT))
 (3 3 (:LINEAR EXPT-LINEAR-UPPER-<=))
 (3 3 (:LINEAR EXPT-LINEAR-UPPER-<))
 (3 3 (:LINEAR EXPT-LINEAR-LOWER-<=))
 (3 3 (:LINEAR EXPT-LINEAR-LOWER-<))
 (3 3 (:LINEAR EXPT->=-1-TWO))
 (3 3 (:LINEAR EXPT->-1-TWO))
 (3 3 (:LINEAR EXPT-<=-1-ONE))
 (3 3 (:LINEAR EXPT-<-1-ONE))
 (2 2 (:REWRITE DEFAULT-EXPT-2))
 (2 2 (:REWRITE DEFAULT-EXPT-1))
 (2 2 (:REWRITE |(expt 1/c n)|))
 (2 2 (:REWRITE |(expt (- x) n)|))
 (1 1 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (1 1 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (1 1 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (1 1 (:REWRITE |(equal c (/ x))|))
 (1 1 (:REWRITE |(equal c (- x))|))
 (1 1 (:REWRITE |(equal (expt 2 n) c)|))
 (1 1 (:REWRITE |(equal (/ x) c)|))
 (1 1 (:REWRITE |(equal (/ x) (/ y))|))
 (1 1 (:REWRITE |(equal (- x) c)|))
 (1 1 (:REWRITE |(equal (- x) (- y))|))
 )
(SMAN::EXPT-2-*-SUM-PNN
 (1598 54 (:REWRITE |(< c (- x))|))
 (1236 36 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (772 42 (:REWRITE |(< (- x) c)|))
 (516 102 (:REWRITE NORMALIZE-ADDENDS))
 (476 3 (:LINEAR EXPT-X->=-X))
 (476 3 (:LINEAR EXPT-X->-X))
 (446 3 (:LINEAR EXPT->=-1-ONE))
 (443 3 (:LINEAR EXPT-<=-1-TWO))
 (440 3 (:LINEAR EXPT-<-1-TWO))
 (437 3 (:LINEAR EXPT->-1-ONE))
 (300 24 (:REWRITE BUBBLE-DOWN-+-BUBBLE-DOWN))
 (274 232 (:REWRITE DEFAULT-PLUS-1))
 (232 232 (:REWRITE DEFAULT-PLUS-2))
 (228 30 (:REWRITE |(< y (+ (- c) x))|))
 (103 103 (:REWRITE DEFAULT-MINUS))
 (84 84 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (84 36 (:REWRITE BUBBLE-DOWN-+-MATCH-1))
 (62 62 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (62 62 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (62 62 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (62 62 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (62 62 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
 (62 62 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE))
 (60 60 (:REWRITE THE-FLOOR-BELOW))
 (60 60 (:REWRITE THE-FLOOR-ABOVE))
 (60 60 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (60 60 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (60 60 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (60 60 (:REWRITE DEFAULT-LESS-THAN-2))
 (60 60 (:REWRITE DEFAULT-LESS-THAN-1))
 (54 54 (:REWRITE DEFAULT-TIMES-2))
 (54 54 (:REWRITE DEFAULT-TIMES-1))
 (54 54 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (54 54 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
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 (54 54 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
 (54 54 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
 (54 54 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
 (54 54 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (54 54 (:REWRITE |(< (/ x) (/ y))|))
 (54 54 (:REWRITE |(< (- x) (- y))|))
 (54 30 (:REWRITE BUBBLE-DOWN-+-MATCH-3))
 (48 12 (:REWRITE |(+ (* c x) (* d x))|))
 (47 47 (:REWRITE |(+ c (+ d x))|))
 (42 42 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (42 42 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (36 36 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (36 36 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (36 36 (:REWRITE INTEGERP-<-CONSTANT))
 (36 36 (:REWRITE CONSTANT-<-INTEGERP))
 (36 36 (:REWRITE |(< (+ c/d x) y)|))
 (36 36 (:DEFINITION FIX))
 (30 30 (:REWRITE |(< x (+ c/d y))|))
 (30 30 (:REWRITE |(< (+ (- c) x) y)|))
 (30 30 (:REWRITE |(+ 0 x)|))
 (29 29 (:REWRITE FOLD-CONSTS-IN-+))
 (20 2 (:REWRITE DEFAULT-DIVIDE))
 (18 18 (:REWRITE SIMPLIFY-SUMS-<))
 (15 15 (:REWRITE |(* (- x) y)|))
 (12 12 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (12 12 (:REWRITE |(< 0 (/ x))|))
 (12 12 (:REWRITE |(< 0 (* x y))|))
 (12 12 (:REWRITE |(< (/ x) 0)|))
 (12 12 (:REWRITE |(< (* x y) 0)|))
 (12 12 (:REWRITE |(* 0 x)|))
 (6 6 (:REWRITE |(+ x (- x))|))
 (6 6 (:LINEAR EXPT-IS-WEAKLY-INCREASING-FOR-BASE->-1))
 (6 6 (:LINEAR EXPT-IS-WEAKLY-DECREASING-FOR-POS-BASE-<-1))
 (6 6 (:LINEAR EXPT-IS-INCREASING-FOR-BASE->-1))
 (6 6 (:LINEAR EXPT-IS-DECREASING-FOR-POS-BASE-<-1))
 (4 4 (:REWRITE DEFAULT-EXPT-2))
 (4 4 (:REWRITE DEFAULT-EXPT-1))
 (4 4 (:REWRITE |(expt 1/c n)|))
 (4 4 (:REWRITE |(expt (- x) n)|))
 (3 3 (:REWRITE REDUCE-INTEGERP-+))
 (3 3 (:REWRITE INTEGERP-MINUS-X))
 (3 3 (:META META-INTEGERP-CORRECT))
 (3 3 (:LINEAR EXPT-LINEAR-UPPER-<=))
 (3 3 (:LINEAR EXPT-LINEAR-UPPER-<))
 (3 3 (:LINEAR EXPT-LINEAR-LOWER-<=))
 (3 3 (:LINEAR EXPT-LINEAR-LOWER-<))
 (3 3 (:LINEAR EXPT->=-1-TWO))
 (3 3 (:LINEAR EXPT->-1-TWO))
 (3 3 (:LINEAR EXPT-<=-1-ONE))
 (3 3 (:LINEAR EXPT-<-1-ONE))
 (1 1 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (1 1 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 )
(SMAN::EXPT-2-*-SUM-P8PNN
 (2966 76 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (1518 54 (:REWRITE |(< c (- x))|))
 (1182 36 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (778 42 (:REWRITE |(< (- x) c)|))
 (576 36 (:REWRITE |(- (+ x y))|))
 (540 3 (:LINEAR EXPT-X->=-X))
 (540 3 (:LINEAR EXPT-X->-X))
 (515 3 (:LINEAR EXPT->=-1-ONE))
 (512 3 (:LINEAR EXPT-<=-1-TWO))
 (509 3 (:LINEAR EXPT-<-1-TWO))
 (506 3 (:LINEAR EXPT->-1-ONE))
 (401 351 (:REWRITE DEFAULT-PLUS-1))
 (351 351 (:REWRITE DEFAULT-PLUS-2))
 (172 98 (:REWRITE |(+ c (+ d x))|))
 (126 88 (:REWRITE DEFAULT-TIMES-1))
 (124 88 (:REWRITE DEFAULT-TIMES-2))
 (121 121 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (96 96 (:REWRITE DEFAULT-MINUS))
 (76 76 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (76 76 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (76 76 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (76 76 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (76 76 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
 (76 76 (:REWRITE THE-FLOOR-BELOW))
 (76 76 (:REWRITE THE-FLOOR-ABOVE))
 (76 76 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (76 76 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (76 76 (:REWRITE DEFAULT-LESS-THAN-2))
 (76 76 (:REWRITE DEFAULT-LESS-THAN-1))
 (70 52 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (54 54 (:REWRITE FOLD-CONSTS-IN-+))
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 (54 54 (:REWRITE |(< (/ x) (/ y))|))
 (54 54 (:REWRITE |(< (- x) (- y))|))
 (50 50 (:REWRITE |(< x (+ c/d y))|))
 (42 42 (:REWRITE |(< (+ c/d x) y)|))
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 (36 36 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (36 36 (:REWRITE INTEGERP-<-CONSTANT))
 (36 36 (:REWRITE CONSTANT-<-INTEGERP))
 (36 36 (:REWRITE |(< (+ (- c) x) y)|))
 (34 34 (:REWRITE |(< y (+ (- c) x))|))
 (18 18 (:REWRITE SIMPLIFY-SUMS-<))
 (18 18 (:REWRITE |(* (- x) y)|))
 (12 12 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (12 12 (:REWRITE |(< 0 (* x y))|))
 (12 12 (:REWRITE |(- (- x))|))
 (8 8 (:REWRITE |(< (* x y) 0)|))
 (6 6 (:REWRITE |(+ x (- x))|))
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 (6 6 (:LINEAR EXPT-IS-DECREASING-FOR-POS-BASE-<-1))
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 (3 3 (:LINEAR EXPT-LINEAR-UPPER-<))
 (3 3 (:LINEAR EXPT-LINEAR-LOWER-<=))
 (3 3 (:LINEAR EXPT-LINEAR-LOWER-<))
 (3 3 (:LINEAR EXPT->=-1-TWO))
 (3 3 (:LINEAR EXPT->-1-TWO))
 (3 3 (:LINEAR EXPT-<=-1-ONE))
 (3 3 (:LINEAR EXPT-<-1-ONE))
 (2 2 (:REWRITE DEFAULT-EXPT-2))
 (2 2 (:REWRITE DEFAULT-EXPT-1))
 (2 2 (:REWRITE |(expt 1/c n)|))
 (2 2 (:REWRITE |(expt (- x) n)|))
 (2 2 (:REWRITE |(< 0 (/ x))|))
 (2 2 (:REWRITE |(< (/ x) 0)|))
 (1 1 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (1 1 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (1 1 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (1 1 (:REWRITE |(equal c (/ x))|))
 (1 1 (:REWRITE |(equal c (- x))|))
 (1 1 (:REWRITE |(equal (expt 2 n) c)|))
 (1 1 (:REWRITE |(equal (/ x) c)|))
 (1 1 (:REWRITE |(equal (/ x) (/ y))|))
 (1 1 (:REWRITE |(equal (- x) c)|))
 (1 1 (:REWRITE |(equal (- x) (- y))|))
 )
(SMAN::EXPT-2-*-SUM-N8PPN
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 (1176 36 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (324 3 (:LINEAR EXPT->=-1-ONE))
 (324 3 (:LINEAR EXPT-<=-1-TWO))
 (318 3 (:LINEAR EXPT->-1-ONE))
 (318 3 (:LINEAR EXPT-<-1-TWO))
 (315 3 (:LINEAR EXPT-X->=-X))
 (315 3 (:LINEAR EXPT-X->-X))
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 (268 268 (:REWRITE DEFAULT-PLUS-2))
 (102 55 (:REWRITE DEFAULT-TIMES-1))
 (100 55 (:REWRITE DEFAULT-TIMES-2))
 (89 35 (:REWRITE |(+ c (+ d x))|))
 (78 78 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (78 78 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (78 78 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (78 78 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (78 78 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-A))
 (63 63 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (54 54 (:REWRITE THE-FLOOR-BELOW))
 (54 54 (:REWRITE THE-FLOOR-ABOVE))
 (54 54 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (54 54 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (54 54 (:REWRITE DEFAULT-LESS-THAN-2))
 (54 54 (:REWRITE DEFAULT-LESS-THAN-1))
 (47 29 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (42 42 (:REWRITE |(< x (+ c/d y))|))
 (36 36 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (36 36 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (36 36 (:REWRITE INTEGERP-<-CONSTANT))
 (36 36 (:REWRITE CONSTANT-<-INTEGERP))
 (36 36 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (36 36 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
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 (36 36 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
 (36 36 (:REWRITE |(< c (- x))|))
 (36 36 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
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 (36 36 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
 (36 36 (:REWRITE |(< (/ x) (/ y))|))
 (36 36 (:REWRITE |(< (- x) c)|))
 (36 36 (:REWRITE |(< (- x) (- y))|))
 (30 30 (:REWRITE |(< y (+ (- c) x))|))
 (30 30 (:REWRITE |(< (+ c/d x) y)|))
 (24 24 (:REWRITE |(< (+ (- c) x) y)|))
 (18 18 (:REWRITE SIMPLIFY-SUMS-<))
 (13 13 (:REWRITE FOLD-CONSTS-IN-+))
 (12 12 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (6 6 (:REWRITE DEFAULT-MINUS))
 (6 6 (:REWRITE |(< 0 (* x y))|))
 (6 6 (:REWRITE |(< (* x y) 0)|))
 (6 6 (:REWRITE |(+ x (- x))|))
 (6 6 (:REWRITE |(* (- x) y)|))
 (6 6 (:LINEAR EXPT-IS-WEAKLY-INCREASING-FOR-BASE->-1))
 (6 6 (:LINEAR EXPT-IS-WEAKLY-DECREASING-FOR-POS-BASE-<-1))
 (6 6 (:LINEAR EXPT-IS-INCREASING-FOR-BASE->-1))
 (6 6 (:LINEAR EXPT-IS-DECREASING-FOR-POS-BASE-<-1))
 (3 3 (:REWRITE REDUCE-INTEGERP-+))
 (3 3 (:REWRITE INTEGERP-MINUS-X))
 (3 3 (:META META-INTEGERP-CORRECT))
 (3 3 (:LINEAR EXPT-LINEAR-UPPER-<=))
 (3 3 (:LINEAR EXPT-LINEAR-UPPER-<))
 (3 3 (:LINEAR EXPT-LINEAR-LOWER-<=))
 (3 3 (:LINEAR EXPT-LINEAR-LOWER-<))
 (3 3 (:LINEAR EXPT->=-1-TWO))
 (3 3 (:LINEAR EXPT->-1-TWO))
 (3 3 (:LINEAR EXPT-<=-1-ONE))
 (3 3 (:LINEAR EXPT-<-1-ONE))
 (2 2 (:REWRITE DEFAULT-EXPT-2))
 (2 2 (:REWRITE DEFAULT-EXPT-1))
 (2 2 (:REWRITE |(expt 1/c n)|))
 (2 2 (:REWRITE |(expt (- x) n)|))
 (1 1 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (1 1 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (1 1 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (1 1 (:REWRITE |(equal c (/ x))|))
 (1 1 (:REWRITE |(equal c (- x))|))
 (1 1 (:REWRITE |(equal (expt 2 n) c)|))
 (1 1 (:REWRITE |(equal (/ x) c)|))
 (1 1 (:REWRITE |(equal (/ x) (/ y))|))
 (1 1 (:REWRITE |(equal (- x) c)|))
 (1 1 (:REWRITE |(equal (- x) (- y))|))
 )
(SMAN::|MX-ROVER-CORRECT-SUBGOAL-*1/8.1'''|
 (21220 1689 (:TYPE-PRESCRIPTION MOD-ZERO . 1))
 (21182 1723 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (15576 1689 (:TYPE-PRESCRIPTION INTEGERP-MOD-2))
 (13113 22 (:REWRITE MOD-X-Y-=-X . 3))
 (12294 12294 (:TYPE-PRESCRIPTION INTEGERP-/-EXPT-1))
 (12293 22 (:REWRITE CANCEL-MOD-+))
 (11884 11884 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT))
 (11884 11884 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT))
 (11884 11884 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT))
 (11884 11884 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP-BASE-B))
 (11197 22 (:REWRITE MOD-X-Y-=-X . 4))
 (10942 22 (:REWRITE MOD-ZERO . 4))
 (10850 10850 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (10850 10850 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (10850 10850 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (10565 22 (:REWRITE MOD-X-Y-=-X-Y . 2))
 (10058 1098 (:REWRITE DEFAULT-TIMES-2))
 (9590 344 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (9405 15 (:REWRITE SMAN::UNNECESSARY-FLOOR))
 (8705 473 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (8378 1098 (:REWRITE DEFAULT-TIMES-1))
 (7288 22 (:REWRITE MOD-ZERO . 3))
 (6544 22 (:REWRITE SMAN::UNNECESSARY-MOD))
 (5193 94 (:REWRITE |(* (- x) y)|))
 (5059 22 (:REWRITE DEFAULT-MOD-RATIO))
 (4943 344 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (4775 28 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (3799 2152 (:REWRITE DEFAULT-PLUS-2))
 (2844 22 (:REWRITE |(mod (+ x (mod a b)) y)|))
 (2844 22 (:REWRITE |(mod (+ x (- (mod a b))) y)|))
 (2833 2152 (:REWRITE DEFAULT-PLUS-1))
 (2818 154 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (2812 15 (:REWRITE |(integerp (- x))|))
 (2809 16 (:REWRITE |(mod x 1)|))
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 (2499 63 (:LINEAR EXPT-<-1-TWO))
 (2184 63 (:LINEAR EXPT-X->=-X))
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 (2040 15 (:REWRITE FLOOR-X-Y-=-1 . 2))
 (1966 154 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
 (1966 154 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 1))
 (1966 154 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
 (1963 473 (:REWRITE DEFAULT-LESS-THAN-1))
 (1890 15 (:REWRITE FLOOR-ZERO . 4))
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 (1723 1723 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
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 (1704 1704 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (1689 1689 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (1478 22 (:REWRITE MOD-X-Y-=-X-Y . 3))
 (1478 22 (:REWRITE MOD-X-Y-=-X+Y . 3))
 (1424 22 (:REWRITE MOD-CANCEL-*-REWRITING-GOAL-LITERAL))
 (1424 22 (:REWRITE MOD-CANCEL-*-CONST))
 (1415 697 (:REWRITE DEFAULT-MINUS))
 (1388 22 (:REWRITE |(mod (* x (/ y)) z) rewriting-goal-literal|))
 (1131 114 (:REWRITE DEFAULT-DIVIDE))
 (1119 75 (:REWRITE |(< (+ (- c) x) y)|))
 (1110 15 (:REWRITE CANCEL-FLOOR-+))
 (1078 154 (:TYPE-PRESCRIPTION FLOOR-ZERO . 3))
 (1078 154 (:TYPE-PRESCRIPTION FLOOR-ZERO . 1))
 (1078 154 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 3))
 (1078 154 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 2))
 (1078 154 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 3))
 (1078 154 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE . 2))
 (1078 154 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 3))
 (1078 154 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 3))
 (1078 154 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
 (1035 15 (:REWRITE FLOOR-=-X/Y . 3))
 (976 12 (:LINEAR MOD-BOUNDS-2))
 (820 820 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (766 115 (:REWRITE |(< y (+ (- c) x))|))
 (740 22 (:REWRITE DEFAULT-MOD-1))
 (724 472 (:REWRITE |(+ c (+ d x))|))
 (675 15 (:REWRITE FLOOR-=-X/Y . 2))
 (675 15 (:REWRITE DEFAULT-FLOOR-RATIO))
 (525 63 (:LINEAR EXPT->=-1-ONE))
 (525 63 (:LINEAR EXPT->-1-ONE))
 (486 225 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
 (473 473 (:REWRITE THE-FLOOR-BELOW))
 (473 473 (:REWRITE THE-FLOOR-ABOVE))
 (473 473 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (473 473 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (427 19 (:REWRITE SMAN::INTEGERP-PRODUCT-BY-EXPT))
 (375 15 (:REWRITE FLOOR-ZERO . 2))
 (375 15 (:REWRITE FLOOR-X-Y-=-1 . 3))
 (375 15 (:REWRITE FLOOR-X-Y-=--1 . 3))
 (375 15 (:REWRITE FLOOR-X-Y-=--1 . 2))
 (347 347 (:REWRITE FOLD-CONSTS-IN-+))
 (344 344 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (344 344 (:REWRITE INTEGERP-<-CONSTANT))
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 (344 344 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
 (344 344 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
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 (344 344 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
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 (344 344 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
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 (344 344 (:REWRITE |(< (- x) (- y))|))
 (276 4 (:LINEAR LINEAR-FLOOR-BOUNDS-2))
 (258 258 (:REWRITE DEFAULT-EXPT-2))
 (258 258 (:REWRITE DEFAULT-EXPT-1))
 (258 258 (:REWRITE |(expt 1/c n)|))
 (258 258 (:REWRITE |(expt (- x) n)|))
 (240 15 (:REWRITE FLOOR-ZERO . 5))
 (240 15 (:REWRITE FLOOR-CANCEL-*-REWRITING-GOAL-LITERAL))
 (240 15 (:REWRITE FLOOR-CANCEL-*-CONST))
 (240 15 (:REWRITE |(floor x (* y (/ z))) rewriting-goal-literal|))
 (240 15 (:REWRITE |(floor (* x (/ y)) z) rewriting-goal-literal|))
 (178 178 (:REWRITE |(< x (+ c/d y))|))
 (150 15 (:REWRITE DEFAULT-FLOOR-2))
 (145 145 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (126 126 (:LINEAR EXPT-IS-WEAKLY-INCREASING-FOR-BASE->-1))
 (126 126 (:LINEAR EXPT-IS-WEAKLY-DECREASING-FOR-POS-BASE-<-1))
 (126 126 (:LINEAR EXPT-IS-INCREASING-FOR-BASE->-1))
 (126 126 (:LINEAR EXPT-IS-DECREASING-FOR-POS-BASE-<-1))
 (120 12 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 1))
 (112 22 (:REWRITE |(mod x (* y (/ z))) rewriting-goal-literal|))
 (96 96 (:REWRITE INTEGERP-MINUS-X))
 (96 96 (:REWRITE |(< (+ c/d x) y)|))
 (93 93 (:META META-INTEGERP-CORRECT))
 (86 86 (:REWRITE |(< 0 (* x y))|))
 (76 22 (:REWRITE DEFAULT-MOD-2))
 (65 65 (:REWRITE |(< 0 (/ x))|))
 (63 63 (:LINEAR EXPT-LINEAR-UPPER-<=))
 (63 63 (:LINEAR EXPT-LINEAR-UPPER-<))
 (63 63 (:LINEAR EXPT-LINEAR-LOWER-<=))
 (63 63 (:LINEAR EXPT-LINEAR-LOWER-<))
 (63 63 (:LINEAR EXPT->=-1-TWO))
 (63 63 (:LINEAR EXPT->-1-TWO))
 (63 63 (:LINEAR EXPT-<=-1-ONE))
 (63 63 (:LINEAR EXPT-<-1-ONE))
 (49 1 (:REWRITE MOD-X-Y-=-X+Y . 1))
 (46 46 (:REWRITE |(< (* x y) 0)|))
 (44 30 (:REWRITE |(equal (/ x) c)|))
 (30 30 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (30 30 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (30 30 (:REWRITE |(equal c (/ x))|))
 (30 30 (:REWRITE |(equal (/ x) (/ y))|))
 (30 30 (:REWRITE |(equal (- x) (- y))|))
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 )
(SMAN::|MX-ROVER-CORRECT-SUBGOAL-*1/7.1'''|
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 )
(SMAN::MX-ROVER-CORRECT-LEMMA1
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 )
(SMAN::MX-ROVER-CORRECT-LEMMA2
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 )
(SMAN::MX-ROVER-CORRECT-LEMMA3
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 (513 513 (:REWRITE |(< 0 (* x y))|))
 (480 480 (:REWRITE FOLD-CONSTS-IN-+))
 (480 480 (:REWRITE |(< 0 (/ x))|))
 (456 51 (:REWRITE DEFAULT-DIVIDE))
 (440 305 (:REWRITE DEFAULT-FLOOR-2))
 (434 434 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
 (434 434 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
 (431 431 (:REWRITE |(< (+ c/d x) y)|))
 (398 305 (:REWRITE DEFAULT-FLOOR-1))
 (356 356 (:REWRITE |(< (+ (- c) x) y)|))
 (348 348 (:REWRITE DEFAULT-LOGAND-1))
 (296 200 (:REWRITE FLOOR-CANCEL-*-REWRITING-GOAL-LITERAL))
 (296 200 (:REWRITE |(floor (* x (/ y)) z) rewriting-goal-literal|))
 (273 273 (:TYPE-PRESCRIPTION NATP))
 (264 264 (:TYPE-PRESCRIPTION ABS))
 (256 256 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
 (256 256 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
 (256 256 (:REWRITE |(equal c (/ x))|))
 (256 256 (:REWRITE |(equal (/ x) (/ y))|))
 (256 256 (:REWRITE |(equal (- x) (- y))|))
 (250 250 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
 (250 250 (:REWRITE |(equal c (- x))|))
 (250 250 (:REWRITE |(equal (- x) c)|))
 (232 232 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-=-0))
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 (227 227 (:REWRITE |(expt 1/c n)|))
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 (212 212 (:REWRITE |(< (* x y) 0) rationalp (* x y)|))
 (205 31 (:REWRITE |(<= (/ x) y) with (< 0 x)|))
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 (200 200 (:REWRITE |(floor x (- y))| . 2))
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 (200 200 (:REWRITE |(floor x (* y (/ z))) not rewriting-goal-literal|))
 (200 200 (:REWRITE |(floor (- x) y)| . 2))
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 (148 1 (:REWRITE |(integerp (expt x n))|))
 (132 132 (:REWRITE SMAN::INTEGERP-PRODUCT-BY-EXPT))
 (132 4 (:LINEAR EXPT-<=-1-TWO))
 (131 57 (:REWRITE SMAN::!R-R))
 (112 4 (:LINEAR EXPT-X->=-X))
 (112 4 (:LINEAR EXPT-X->-X))
 (72 8 (:REWRITE FLOOR-POSITIVE . 2))
 (72 8 (:REWRITE FLOOR-NONPOSITIVE . 1))
 (57 57 (:REWRITE SMAN::!R-DEFAULT-1))
 (40 8 (:REWRITE FLOOR-POSITIVE . 4))
 (40 8 (:REWRITE FLOOR-POSITIVE . 3))
 (40 8 (:REWRITE FLOOR-NONPOSITIVE . 3))
 (40 8 (:REWRITE FLOOR-NONPOSITIVE . 2))
 (40 8 (:REWRITE FLOOR-=-X/Y . 4))
 (40 8 (:REWRITE |(equal (floor (+ x y) z) x)|))
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 (18 18 (:REWRITE |(equal (+ (- c) x) y)|))
 (18 6 (:TYPE-PRESCRIPTION RATIONALP-MOD))
 (15 15 (:TYPE-PRESCRIPTION INTEGERP-/-EXPT-1))
 (14 14 (:REWRITE |(* c (* d x))|))
 (8 8 (:REWRITE FLOOR-ZERO . 1))
 (8 8 (:REWRITE FLOOR-POSITIVE . 1))
 (8 8 (:REWRITE |(mod (floor x y) z)| . 5))
 (8 8 (:REWRITE |(mod (floor x y) z)| . 4))
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 (8 8 (:LINEAR EXPT-IS-WEAKLY-INCREASING-FOR-BASE->-1))
 (8 8 (:LINEAR EXPT-IS-WEAKLY-DECREASING-FOR-POS-BASE-<-1))
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 (6 6 (:REWRITE |(not (equal x (/ y)))|))
 (6 6 (:REWRITE |(equal x (/ y))|))
 (4 4 (:LINEAR EXPT-LINEAR-UPPER-<=))
 (4 4 (:LINEAR EXPT-LINEAR-UPPER-<))
 (4 4 (:LINEAR EXPT-LINEAR-LOWER-<=))
 (4 4 (:LINEAR EXPT-LINEAR-LOWER-<))
 (4 4 (:LINEAR EXPT->=-1-TWO))
 (4 4 (:LINEAR EXPT->-1-TWO))
 (4 4 (:LINEAR EXPT-<=-1-ONE))
 (4 4 (:LINEAR EXPT-<-1-TWO))
 (4 4 (:LINEAR EXPT-<-1-ONE))
 )