1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
|
(M1::OK-INPUTS)
(M1::THETA)
(M1::HELPER)
(M1::FN)
(M1::HELPER-IS-THETA
(565 271 (:REWRITE DEFAULT-PLUS-2))
(488 488 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
(488 488 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
(488 488 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
(319 22 (:REWRITE ZP-OPEN))
(300 271 (:REWRITE DEFAULT-PLUS-1))
(208 192 (:REWRITE DEFAULT-TIMES-2))
(190 22 (:REWRITE ACL2-NUMBERP-X))
(142 30 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
(130 130 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
(82 82 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
(63 63 (:REWRITE REDUCE-INTEGERP-+))
(63 63 (:REWRITE INTEGERP-MINUS-X))
(63 63 (:META META-INTEGERP-CORRECT))
(56 14 (:REWRITE RATIONALP-X))
(56 14 (:REWRITE M1::INTEGERP-IMPLIES-RATIONALP))
(54 24 (:REWRITE SIMPLIFY-SUMS-EQUAL))
(43 5 (:REWRITE DEFAULT-FLOOR-RATIO))
(32 32 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
(32 32 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
(32 32 (:REWRITE |(equal c (/ x))|))
(32 32 (:REWRITE |(equal c (- x))|))
(32 32 (:REWRITE |(equal (/ x) c)|))
(32 32 (:REWRITE |(equal (/ x) (/ y))|))
(32 32 (:REWRITE |(equal (- x) (- y))|))
(30 30 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
(22 22 (:REWRITE |(equal (+ (- c) x) y)|))
(20 20 (:REWRITE THE-FLOOR-BELOW))
(20 20 (:REWRITE THE-FLOOR-ABOVE))
(20 20 (:REWRITE REMOVE-STRICT-INEQUALITIES))
(20 20 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
(20 20 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
(20 20 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
(20 20 (:REWRITE INTEGERP-<-CONSTANT))
(20 20 (:REWRITE DEFAULT-LESS-THAN-2))
(20 20 (:REWRITE DEFAULT-LESS-THAN-1))
(20 20 (:REWRITE CONSTANT-<-INTEGERP))
(20 20 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
(20 20 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
(20 20 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
(20 20 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
(20 20 (:REWRITE |(< c (- x))|))
(20 20 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
(20 20 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
(20 20 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
(20 20 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
(20 20 (:REWRITE |(< (/ x) (/ y))|))
(20 20 (:REWRITE |(< (- x) c)|))
(20 20 (:REWRITE |(< (- x) (- y))|))
(17 17 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
(16 16 (:REWRITE SIMPLIFY-SUMS-<))
(16 16 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
(16 16 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
(14 14 (:REWRITE REDUCE-RATIONALP-+))
(14 14 (:REWRITE REDUCE-RATIONALP-*))
(14 14 (:REWRITE RATIONALP-MINUS-X))
(14 14 (:META META-RATIONALP-CORRECT))
(11 11 (:REWRITE |(< (/ x) 0)|))
(11 11 (:REWRITE |(< (* x y) 0)|))
(10 10 (:REWRITE FOLD-CONSTS-IN-+))
(9 9 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
(9 9 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
(9 9 (:REWRITE |(< y (+ (- c) x))|))
(9 9 (:REWRITE |(< x (+ c/d y))|))
(9 9 (:REWRITE |(< 0 (/ x))|))
(9 9 (:REWRITE |(< 0 (* x y))|))
(9 9 (:REWRITE |(+ x (- x))|))
(7 7 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
(7 7 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
(6 6 (:REWRITE |(* c (* d x))|))
(5 5 (:REWRITE DEFAULT-FLOOR-2))
(5 5 (:REWRITE DEFAULT-FLOOR-1))
(5 5 (:REWRITE |(floor x 2)| . 2))
(1 1 (:REWRITE |(floor (+ x r) i)|))
)
(M1::FN-IS-THETA
(27 23 (:REWRITE DEFAULT-TIMES-2))
(23 23 (:REWRITE DEFAULT-TIMES-1))
(14 2 (:REWRITE DEFAULT-FLOOR-RATIO))
(13 9 (:REWRITE DEFAULT-PLUS-2))
(12 12 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
(10 10 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
(10 10 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
(10 10 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
(10 10 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
(9 9 (:REWRITE DEFAULT-PLUS-1))
(4 4 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
(4 4 (:REWRITE NORMALIZE-ADDENDS))
(3 3 (:REWRITE REDUCE-INTEGERP-+))
(3 3 (:REWRITE INTEGERP-MINUS-X))
(3 3 (:META META-INTEGERP-CORRECT))
(2 2 (:REWRITE DEFAULT-FLOOR-2))
(2 2 (:REWRITE DEFAULT-FLOOR-1))
(2 2 (:REWRITE |(floor x 2)| . 2))
(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)|))
)
(M1::LOOP-CLK)
(M1::CLK)
(M1::FINAL-SIGN)
(M1::LOOP-IS-HELPER
(715 55 (:REWRITE ZP-OPEN))
(397 61 (:REWRITE ACL2-NUMBERP-X))
(256 246 (:REWRITE DEFAULT-PLUS-1))
(246 246 (:REWRITE DEFAULT-PLUS-2))
(218 10 (:REWRITE |(+ (+ x y) z)|))
(216 156 (:REWRITE NORMALIZE-ADDENDS))
(212 17 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
(146 146 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
(124 10 (:REWRITE |(+ y (+ x z))|))
(112 28 (:REWRITE RATIONALP-X))
(112 28 (:REWRITE M1::INTEGERP-IMPLIES-RATIONALP))
(100 20 (:REWRITE |(+ c (+ d x))|))
(92 28 (:REWRITE |(* (- x) y)|))
(80 80 (:REWRITE DEFAULT-TIMES-2))
(80 2 (:REWRITE |(* (if a b c) x)|))
(76 76 (:REWRITE REDUCE-INTEGERP-+))
(76 76 (:REWRITE INTEGERP-MINUS-X))
(76 76 (:META META-INTEGERP-CORRECT))
(66 4 (:REWRITE |(+ (if a b c) x)|))
(42 6 (:REWRITE |(- (+ x y))|))
(40 2 (:REWRITE |(* x (+ y z))|))
(32 17 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
(29 29 (:REWRITE THE-FLOOR-BELOW))
(29 29 (:REWRITE THE-FLOOR-ABOVE))
(29 29 (:REWRITE REMOVE-STRICT-INEQUALITIES))
(29 29 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
(29 29 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
(29 29 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
(29 29 (:REWRITE INTEGERP-<-CONSTANT))
(29 29 (:REWRITE DEFAULT-LESS-THAN-2))
(29 29 (:REWRITE DEFAULT-LESS-THAN-1))
(29 29 (:REWRITE CONSTANT-<-INTEGERP))
(29 29 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
(29 29 (:REWRITE |(< c (/ x)) positive c --- obj t or nil|))
(29 29 (:REWRITE |(< c (/ x)) negative c --- present in goal|))
(29 29 (:REWRITE |(< c (/ x)) negative c --- obj t or nil|))
(29 29 (:REWRITE |(< c (- x))|))
(29 29 (:REWRITE |(< (/ x) c) positive c --- present in goal|))
(29 29 (:REWRITE |(< (/ x) c) positive c --- obj t or nil|))
(29 29 (:REWRITE |(< (/ x) c) negative c --- present in goal|))
(29 29 (:REWRITE |(< (/ x) c) negative c --- obj t or nil|))
(29 29 (:REWRITE |(< (/ x) (/ y))|))
(29 29 (:REWRITE |(< (- x) c)|))
(29 29 (:REWRITE |(< (- x) (- y))|))
(28 28 (:REWRITE REDUCE-RATIONALP-+))
(28 28 (:REWRITE REDUCE-RATIONALP-*))
(28 28 (:REWRITE RATIONALP-MINUS-X))
(28 28 (:META META-RATIONALP-CORRECT))
(28 17 (:REWRITE SIMPLIFY-SUMS-EQUAL))
(27 27 (:REWRITE SIMPLIFY-SUMS-<))
(27 27 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
(27 27 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
(24 24 (:REWRITE DEFAULT-CDR))
(24 2 (:REWRITE |(* x (if a b c))|))
(22 22 (:REWRITE DEFAULT-CAR))
(21 7 (:REWRITE |(* x (- y))|))
(20 20 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-REMAINDER))
(20 20 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-AX+BX-RATIONAL-COMMON))
(20 20 (:REWRITE |(< y (+ (- c) x))|))
(20 20 (:REWRITE |(< x (+ c/d y))|))
(20 20 (:REWRITE |(< 0 (/ x))|))
(20 20 (:REWRITE |(< 0 (* x y))|))
(20 10 (:REWRITE BUBBLE-DOWN-+-MATCH-1))
(19 19 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL))
(19 19 (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL))
(19 19 (:REWRITE |(equal c (/ x))|))
(19 19 (:REWRITE |(equal c (- x))|))
(19 19 (:REWRITE |(equal (/ x) c)|))
(19 19 (:REWRITE |(equal (/ x) (/ y))|))
(19 19 (:REWRITE |(equal (- x) (- y))|))
(17 17 (:REWRITE EQUAL-OF-PREDICATES-REWRITE))
(10 10 (:TYPE-PRESCRIPTION BUBBLE-DOWN))
(10 10 (:REWRITE |(+ x (- x))|))
(10 10 (:DEFINITION FIX))
(9 9 (:REWRITE |(< (/ x) 0)|))
(9 9 (:REWRITE |(< (* x y) 0)|))
(8 8 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
(7 7 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
(7 7 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
(3 1 (:REWRITE |(- (if a b c))|))
(2 2 (:REWRITE |(- (* c x))|))
(2 2 (:REWRITE |(* 0 x)|))
)
(M1::PROGRAM-IS-FN
(48 4 (:DEFINITION M1::HELPER))
(12 2 (:DEFINITION M1::FINAL-SIGN))
(10 10 (:REWRITE DEFAULT-PLUS-2))
(10 10 (:REWRITE DEFAULT-PLUS-1))
(6 6 (:REWRITE ZP-OPEN))
(6 6 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
(6 6 (:REWRITE NORMALIZE-ADDENDS))
(4 4 (:REWRITE DEFAULT-TIMES-2))
(4 4 (:REWRITE DEFAULT-TIMES-1))
(4 4 (:REWRITE |(+ 0 x)|))
(4 4 (:REWRITE |(* 1 x)|))
(2 2 (:REWRITE DEFAULT-CDR))
(2 2 (:REWRITE DEFAULT-CAR))
(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 |(< 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))
)
(M1::PROGRAM-CORRECT
(40 40 (:REWRITE DEFAULT-TIMES-2))
(40 40 (:REWRITE DEFAULT-TIMES-1))
(28 4 (:REWRITE DEFAULT-FLOOR-RATIO))
(24 24 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
(14 14 (:REWRITE DEFAULT-PLUS-2))
(14 14 (:REWRITE DEFAULT-PLUS-1))
(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 2 (:DEFINITION M1::FINAL-SIGN))
(10 10 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
(10 10 (:REWRITE NORMALIZE-ADDENDS))
(5 5 (:REWRITE REDUCE-INTEGERP-+))
(5 5 (:REWRITE INTEGERP-MINUS-X))
(5 5 (:META META-INTEGERP-CORRECT))
(4 4 (:REWRITE DEFAULT-FLOOR-2))
(4 4 (:REWRITE DEFAULT-FLOOR-1))
(4 4 (:REWRITE |(floor x 2)| . 2))
(2 2 (:REWRITE ZP-OPEN))
(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)|))
)
(M1::TOTAL-CORRECTNESS
(56 56 (:REWRITE DEFAULT-TIMES-2))
(56 56 (:REWRITE DEFAULT-TIMES-1))
(41 41 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
(41 41 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
(41 41 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
(41 41 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
(36 36 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
(35 5 (:REWRITE DEFAULT-FLOOR-RATIO))
(24 4 (:DEFINITION M1::FINAL-SIGN))
(21 21 (:REWRITE DEFAULT-PLUS-2))
(21 21 (:REWRITE DEFAULT-PLUS-1))
(16 16 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
(16 16 (:REWRITE NORMALIZE-ADDENDS))
(15 2 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
(14 2 (:REWRITE ACL2-NUMBERP-X))
(12 12 (:REWRITE REDUCE-INTEGERP-+))
(12 12 (:REWRITE INTEGERP-MINUS-X))
(12 12 (:META META-INTEGERP-CORRECT))
(5 5 (:REWRITE DEFAULT-FLOOR-2))
(5 5 (:REWRITE DEFAULT-FLOOR-1))
(5 5 (:REWRITE |(floor x 2)| . 2))
(4 4 (:REWRITE ZP-OPEN))
(4 1 (:REWRITE RATIONALP-X))
(4 1 (:REWRITE M1::INTEGERP-IMPLIES-RATIONALP))
(3 3 (:REWRITE THE-FLOOR-BELOW))
(3 3 (:REWRITE THE-FLOOR-ABOVE))
(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 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) 0)|))
(3 3 (:REWRITE |(< (/ x) (/ y))|))
(3 3 (:REWRITE |(< (- x) c)|))
(3 3 (:REWRITE |(< (- x) (- y))|))
(3 3 (:REWRITE |(< (* x y) 0)|))
(3 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 REDUCE-RATIONALP-+))
(1 1 (:REWRITE REDUCE-RATIONALP-*))
(1 1 (:REWRITE RATIONALP-MINUS-X))
(1 1 (:META META-RATIONALP-CORRECT))
)
|
