1 <?xml version="1.0" encoding="UTF-8"?>
2 <!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
3 "https://www.why3.org/why3session.dtd">
4 <why3session shape_version="6">
5 <prover id="1" name="Alt-Ergo" version="2.3.3" timelimit="5" steplimit="0" memlimit="1000"/>
6 <prover id="2" name="Alt-Ergo" version="2.2.0" timelimit="1" steplimit="0" memlimit="1000"/>
7 <prover id="3" name="CVC4" version="1.6" timelimit="1" steplimit="0" memlimit="1000"/>
8 <prover id="4" name="Z3" version="4.12.2" timelimit="1" steplimit="0" memlimit="1000"/>
9 <prover id="5" name="Alt-Ergo" version="2.1.0" timelimit="1" steplimit="0" memlimit="1000"/>
10 <prover id="12" name="CVC4" version="1.5" timelimit="1" steplimit="0" memlimit="1000"/>
11 <file format="whyml" proved="true">
12 <path name=".."/><path name="bitwalker.mlw"/>
13 <theory name="Bitwalker" proved="true">
14 <goal name="nth64" proved="true">
15 <proof prover="5"><result status="valid" time="0.132149" steps="611"/></proof>
17 <goal name="nth8" proved="true">
18 <proof prover="5"><result status="valid" time="0.060000" steps="759"/></proof>
20 <goal name="nth_ultpre0'vc" expl="VC for nth_ultpre0" proved="true">
21 <transf name="split_goal_right" proved="true" >
22 <goal name="nth_ultpre0'vc.0" expl="assertion" proved="true">
23 <proof prover="2"><result status="valid" time="0.060000" steps="221"/></proof>
24 <proof prover="4"><result status="valid" time="0.010000" steps="43344"/></proof>
26 <goal name="nth_ultpre0'vc.1" expl="assertion" proved="true">
27 <proof prover="4"><result status="valid" time="0.030000" steps="238814"/></proof>
29 <goal name="nth_ultpre0'vc.2" expl="postcondition" proved="true">
30 <proof prover="2"><result status="valid" time="0.100000" steps="693"/></proof>
31 <proof prover="4"><result status="valid" time="0.376085" steps="1650977"/></proof>
35 <goal name="poke_64bit_bv'vc" expl="VC for poke_64bit_bv" proved="true">
36 <transf name="split_goal_right" proved="true" >
37 <goal name="poke_64bit_bv'vc.0" expl="assertion" proved="true">
38 <proof prover="4"><result status="valid" time="0.010000" steps="36540"/></proof>
40 <goal name="poke_64bit_bv'vc.1" expl="arithmetic overflow" proved="true">
41 <proof prover="12"><result status="valid" time="0.020000" steps="15230"/></proof>
43 <goal name="poke_64bit_bv'vc.2" expl="postcondition" proved="true">
44 <proof prover="3"><result status="valid" time="0.180000" steps="29522"/></proof>
46 <goal name="poke_64bit_bv'vc.3" expl="postcondition" proved="true">
47 <proof prover="3"><result status="valid" time="0.100000" steps="17018"/></proof>
49 <goal name="poke_64bit_bv'vc.4" expl="postcondition" proved="true">
50 <proof prover="4"><result status="valid" time="0.030000" steps="193010"/></proof>
52 <goal name="poke_64bit_bv'vc.5" expl="postcondition" proved="true">
53 <proof prover="4"><result status="valid" time="0.240000" steps="246075"/></proof>
57 <goal name="poke_64bit'vc" expl="VC for poke_64bit" proved="true">
58 <transf name="split_goal_right" proved="true" >
59 <goal name="poke_64bit'vc.0" expl="assertion" proved="true">
60 <proof prover="4"><result status="valid" time="0.020000" steps="111987"/></proof>
62 <goal name="poke_64bit'vc.1" expl="assertion" proved="true">
63 <proof prover="4"><result status="valid" time="0.040000" steps="332714"/></proof>
65 <goal name="poke_64bit'vc.2" expl="postcondition" proved="true">
66 <proof prover="12"><result status="valid" time="0.040000" steps="35196"/></proof>
68 <goal name="poke_64bit'vc.3" expl="postcondition" proved="true">
69 <proof prover="3"><result status="valid" time="0.070000" steps="13716"/></proof>
71 <goal name="poke_64bit'vc.4" expl="postcondition" proved="true">
72 <proof prover="3"><result status="valid" time="0.411064" steps="79615"/></proof>
74 <goal name="poke_64bit'vc.5" expl="postcondition" proved="true">
75 <proof prover="12"><result status="valid" time="0.040000" steps="28565"/></proof>
79 <goal name="peek_8bit_bv'vc" expl="VC for peek_8bit_bv" proved="true">
80 <transf name="split_goal_right" proved="true" >
81 <goal name="peek_8bit_bv'vc.0" expl="assertion" proved="true">
82 <proof prover="4"><result status="valid" time="0.010000" steps="43674"/></proof>
84 <goal name="peek_8bit_bv'vc.1" expl="arithmetic overflow" proved="true">
85 <proof prover="12"><result status="valid" time="0.020000" steps="15244"/></proof>
87 <goal name="peek_8bit_bv'vc.2" expl="postcondition" proved="true">
88 <proof prover="3"><result status="valid" time="0.060000" steps="8853"/></proof>
90 <goal name="peek_8bit_bv'vc.3" expl="postcondition" proved="true">
91 <proof prover="4"><result status="valid" time="0.020000" steps="100615"/></proof>
95 <goal name="peek_8bit_array'vc" expl="VC for peek_8bit_array" proved="true">
96 <transf name="split_goal_right" proved="true" >
97 <goal name="peek_8bit_array'vc.0" expl="remainder by zero" proved="true">
98 <proof prover="12"><result status="valid" time="0.010000" steps="15597"/></proof>
100 <goal name="peek_8bit_array'vc.1" expl="division by zero" proved="true">
101 <proof prover="12"><result status="valid" time="0.010000" steps="15684"/></proof>
103 <goal name="peek_8bit_array'vc.2" expl="index in array bounds" proved="true">
104 <proof prover="12"><result status="valid" time="0.020000" steps="17875"/></proof>
106 <goal name="peek_8bit_array'vc.3" expl="precondition" proved="true">
107 <proof prover="12"><result status="valid" time="0.040000" steps="17803"/></proof>
109 <goal name="peek_8bit_array'vc.4" expl="postcondition" proved="true">
110 <proof prover="4"><result status="valid" time="0.010000" steps="38072"/></proof>
114 <goal name="peek'vc" expl="VC for peek" proved="true">
115 <transf name="split_goal_right" proved="true" >
116 <goal name="peek'vc.0" expl="arithmetic overflow" proved="true">
117 <proof prover="12"><result status="valid" time="0.020000" steps="15641"/></proof>
119 <goal name="peek'vc.1" expl="postcondition" proved="true">
120 <proof prover="12"><result status="valid" time="0.010000" steps="15152"/></proof>
122 <goal name="peek'vc.2" expl="postcondition" proved="true">
123 <proof prover="12"><result status="valid" time="0.030000" steps="17672"/></proof>
125 <goal name="peek'vc.3" expl="arithmetic overflow" proved="true">
126 <proof prover="12"><result status="valid" time="0.020000" steps="15793"/></proof>
128 <goal name="peek'vc.4" expl="loop invariant init" proved="true">
129 <proof prover="12"><result status="valid" time="0.020000" steps="17410"/></proof>
131 <goal name="peek'vc.5" expl="loop invariant init" proved="true">
132 <proof prover="2"><result status="valid" time="0.070000" steps="234"/></proof>
134 <goal name="peek'vc.6" expl="loop invariant init" proved="true">
135 <proof prover="4"><result status="valid" time="0.010000" steps="29459"/></proof>
137 <goal name="peek'vc.7" expl="loop invariant init" proved="true">
138 <proof prover="4"><result status="valid" time="0.010000" steps="29431"/></proof>
140 <goal name="peek'vc.8" expl="arithmetic overflow" proved="true">
141 <proof prover="12"><result status="valid" time="0.020000" steps="18197"/></proof>
143 <goal name="peek'vc.9" expl="precondition" proved="true">
144 <proof prover="12"><result status="valid" time="0.010000" steps="16404"/></proof>
146 <goal name="peek'vc.10" expl="precondition" proved="true">
147 <proof prover="4"><result status="valid" time="0.030000" steps="156924"/></proof>
149 <goal name="peek'vc.11" expl="arithmetic overflow" proved="true">
150 <proof prover="12"><result status="valid" time="0.020000" steps="18405"/></proof>
152 <goal name="peek'vc.12" expl="precondition" proved="true">
153 <proof prover="4"><result status="valid" time="0.030000" steps="127341"/></proof>
155 <goal name="peek'vc.13" expl="arithmetic overflow" proved="true">
156 <proof prover="12"><result status="valid" time="0.020000" steps="19252"/></proof>
158 <goal name="peek'vc.14" expl="loop variant decrease" proved="true">
159 <proof prover="12"><result status="valid" time="0.030000" steps="19434"/></proof>
161 <goal name="peek'vc.15" expl="loop invariant preservation" proved="true">
162 <proof prover="4"><result status="valid" time="0.046400" steps="229167"/></proof>
164 <goal name="peek'vc.16" expl="loop invariant preservation" proved="true">
165 <proof prover="4"><result status="valid" time="0.179599" steps="700046"/></proof>
167 <goal name="peek'vc.17" expl="loop invariant preservation" proved="true">
168 <proof prover="2"><result status="valid" time="0.250000" steps="833"/></proof>
170 <goal name="peek'vc.18" expl="loop invariant preservation" proved="true">
171 <proof prover="4"><result status="valid" time="0.020000" steps="60472"/></proof>
173 <goal name="peek'vc.19" expl="postcondition" proved="true">
174 <proof prover="12"><result status="valid" time="0.020000" steps="18167"/></proof>
176 <goal name="peek'vc.20" expl="postcondition" proved="true">
177 <proof prover="4"><result status="valid" time="0.178413" steps="398542"/></proof>
181 <goal name="peek_64bit'vc" expl="VC for peek_64bit" proved="true">
182 <transf name="split_goal_right" proved="true" >
183 <goal name="peek_64bit'vc.0" expl="assertion" proved="true">
184 <proof prover="4"><result status="valid" time="0.010000" steps="36540"/></proof>
186 <goal name="peek_64bit'vc.1" expl="arithmetic overflow" proved="true">
187 <proof prover="12"><result status="valid" time="0.020000" steps="15230"/></proof>
189 <goal name="peek_64bit'vc.2" expl="postcondition" proved="true">
190 <proof prover="3"><result status="valid" time="0.100000" steps="16652"/></proof>
192 <goal name="peek_64bit'vc.3" expl="postcondition" proved="true">
193 <proof prover="4"><result status="valid" time="0.538274" steps="1220616"/></proof>
197 <goal name="poke_8bit'vc" expl="VC for poke_8bit" proved="true">
198 <transf name="split_goal_right" proved="true" >
199 <goal name="poke_8bit'vc.0" expl="assertion" proved="true">
200 <proof prover="4"><result status="valid" time="0.010000" steps="43249"/></proof>
202 <goal name="poke_8bit'vc.1" expl="arithmetic overflow" proved="true">
203 <proof prover="3"><result status="valid" time="0.080000" steps="4774"/></proof>
205 <goal name="poke_8bit'vc.2" expl="postcondition" proved="true">
206 <proof prover="3"><result status="valid" time="0.080000" steps="12123"/></proof>
208 <goal name="poke_8bit'vc.3" expl="postcondition" proved="true">
209 <proof prover="3"><result status="valid" time="0.050000" steps="7401"/></proof>
211 <goal name="poke_8bit'vc.4" expl="postcondition" proved="true">
212 <proof prover="4"><result status="valid" time="0.020000" steps="111398"/></proof>
214 <goal name="poke_8bit'vc.5" expl="postcondition" proved="true">
215 <proof prover="4"><result status="valid" time="0.030000" steps="127349"/></proof>
219 <goal name="poke_8bit_array'vc" expl="VC for poke_8bit_array" proved="true">
220 <transf name="split_goal_right" proved="true" >
221 <goal name="poke_8bit_array'vc.0" expl="division by zero" proved="true">
222 <proof prover="12"><result status="valid" time="0.010000" steps="15597"/></proof>
224 <goal name="poke_8bit_array'vc.1" expl="remainder by zero" proved="true">
225 <proof prover="12"><result status="valid" time="0.020000" steps="15684"/></proof>
227 <goal name="poke_8bit_array'vc.2" expl="index in array bounds" proved="true">
228 <proof prover="12"><result status="valid" time="0.040000" steps="17884"/></proof>
230 <goal name="poke_8bit_array'vc.3" expl="precondition" proved="true">
231 <proof prover="12"><result status="valid" time="0.030000" steps="17731"/></proof>
233 <goal name="poke_8bit_array'vc.4" expl="index in array bounds" proved="true">
234 <proof prover="12"><result status="valid" time="0.030000" steps="18654"/></proof>
236 <goal name="poke_8bit_array'vc.5" expl="postcondition" proved="true">
237 <transf name="introduce_premises" proved="true" >
238 <goal name="poke_8bit_array'vc.5.0" expl="postcondition" proved="true">
239 <transf name="case" proved="true" arg1="(div i 8 = o)">
240 <goal name="poke_8bit_array'vc.5.0.0" expl="true case (postcondition)" proved="true">
241 <proof prover="1"><result status="valid" time="0.619173" steps="949"/></proof>
243 <goal name="poke_8bit_array'vc.5.0.1" expl="false case (postcondition)" proved="true">
244 <proof prover="1"><result status="valid" time="0.429331" steps="857"/></proof>
250 <goal name="poke_8bit_array'vc.6" expl="postcondition" proved="true">
251 <proof prover="5"><result status="valid" time="0.100000" steps="672"/></proof>
255 <goal name="poke'vc" expl="VC for poke" proved="true">
256 <transf name="split_goal_right" proved="true" >
257 <goal name="poke'vc.0" expl="arithmetic overflow" proved="true">
258 <proof prover="12"><result status="valid" time="0.030000" steps="15636"/></proof>
260 <goal name="poke'vc.1" expl="postcondition" proved="true">
261 <proof prover="12"><result status="valid" time="0.010000" steps="15681"/></proof>
263 <goal name="poke'vc.2" expl="postcondition" proved="true">
264 <proof prover="12"><result status="valid" time="0.020000" steps="17270"/></proof>
266 <goal name="poke'vc.3" expl="postcondition" proved="true">
267 <proof prover="12"><result status="valid" time="0.020000" steps="15791"/></proof>
269 <goal name="poke'vc.4" expl="postcondition" proved="true">
270 <proof prover="12"><result status="valid" time="0.020000" steps="15828"/></proof>
272 <goal name="poke'vc.5" expl="postcondition" proved="true">
273 <proof prover="12"><result status="valid" time="0.010000" steps="15993"/></proof>
275 <goal name="poke'vc.6" expl="postcondition" proved="true">
276 <proof prover="12"><result status="valid" time="0.020000" steps="15721"/></proof>
278 <goal name="poke'vc.7" expl="postcondition" proved="true">
279 <proof prover="12"><result status="valid" time="0.030000" steps="17332"/></proof>
281 <goal name="poke'vc.8" expl="postcondition" proved="true">
282 <proof prover="4"><result status="valid" time="0.588857" steps="2279828"/></proof>
284 <goal name="poke'vc.9" expl="postcondition" proved="true">
285 <proof prover="12"><result status="valid" time="0.020000" steps="15861"/></proof>
287 <goal name="poke'vc.10" expl="postcondition" proved="true">
288 <proof prover="12"><result status="valid" time="0.020000" steps="16026"/></proof>
290 <goal name="poke'vc.11" expl="arithmetic overflow" proved="true">
291 <proof prover="12"><result status="valid" time="0.040000" steps="17309"/></proof>
293 <goal name="poke'vc.12" expl="loop invariant init" proved="true">
294 <proof prover="12"><result status="valid" time="0.020000" steps="18990"/></proof>
296 <goal name="poke'vc.13" expl="loop invariant init" proved="true">
297 <proof prover="12"><result status="valid" time="0.020000" steps="15152"/></proof>
299 <goal name="poke'vc.14" expl="loop invariant init" proved="true">
300 <proof prover="12"><result status="valid" time="0.010000" steps="15877"/></proof>
302 <goal name="poke'vc.15" expl="loop invariant init" proved="true">
303 <proof prover="12"><result status="valid" time="0.010000" steps="15152"/></proof>
305 <goal name="poke'vc.16" expl="arithmetic overflow" proved="true">
306 <proof prover="12"><result status="valid" time="0.020000" steps="18434"/></proof>
308 <goal name="poke'vc.17" expl="precondition" proved="true">
309 <proof prover="4"><result status="valid" time="0.020000" steps="238352"/></proof>
311 <goal name="poke'vc.18" expl="arithmetic overflow" proved="true">
312 <proof prover="12"><result status="valid" time="0.040000" steps="18605"/></proof>
314 <goal name="poke'vc.19" expl="precondition" proved="true">
315 <proof prover="12"><result status="valid" time="0.020000" steps="18659"/></proof>
317 <goal name="poke'vc.20" expl="precondition" proved="true">
318 <proof prover="4"><result status="valid" time="0.030000" steps="207386"/></proof>
320 <goal name="poke'vc.21" expl="assertion" proved="true">
321 <transf name="split_goal_right" proved="true" >
322 <goal name="poke'vc.21.0" expl="assertion" proved="true">
323 <proof prover="2"><result status="valid" time="0.040000" steps="257"/></proof>
327 <goal name="poke'vc.22" expl="assertion" proved="true">
328 <transf name="split_goal_right" proved="true" >
329 <goal name="poke'vc.22.0" expl="assertion" proved="true">
330 <proof prover="3"><result status="valid" time="0.040000" steps="6609"/></proof>
332 <goal name="poke'vc.22.1" expl="assertion" proved="true">
333 <proof prover="3"><result status="valid" time="0.050000" steps="11212"/></proof>
335 <goal name="poke'vc.22.2" expl="assertion" proved="true">
336 <proof prover="3"><result status="valid" time="0.050000" steps="8980"/></proof>
338 <goal name="poke'vc.22.3" expl="assertion" proved="true">
339 <proof prover="4"><result status="valid" time="0.020000" steps="36422"/></proof>
343 <goal name="poke'vc.23" expl="arithmetic overflow" proved="true">
344 <proof prover="12"><result status="valid" time="0.030000" steps="20233"/></proof>
346 <goal name="poke'vc.24" expl="loop variant decrease" proved="true">
347 <proof prover="12"><result status="valid" time="0.040000" steps="20414"/></proof>
349 <goal name="poke'vc.25" expl="loop invariant preservation" proved="true">
350 <proof prover="4"><result status="valid" time="0.060000" steps="308620"/></proof>
352 <goal name="poke'vc.26" expl="loop invariant preservation" proved="true">
353 <proof prover="3"><result status="valid" time="0.140000" steps="30982"/></proof>
355 <goal name="poke'vc.27" expl="loop invariant preservation" proved="true">
356 <proof prover="2"><result status="valid" time="0.250000" steps="984"/></proof>
358 <goal name="poke'vc.28" expl="loop invariant preservation" proved="true">
359 <proof prover="4"><result status="valid" time="0.140000" steps="374916"/></proof>
361 <goal name="poke'vc.29" expl="postcondition" proved="true">
362 <proof prover="12"><result status="valid" time="0.010000" steps="16225"/></proof>
364 <goal name="poke'vc.30" expl="postcondition" proved="true">
365 <proof prover="12"><result status="valid" time="0.020000" steps="18349"/></proof>
367 <goal name="poke'vc.31" expl="postcondition" proved="true">
368 <proof prover="2"><result status="valid" time="0.070000" steps="249"/></proof>
370 <goal name="poke'vc.32" expl="postcondition" proved="true">
371 <proof prover="4"><result status="valid" time="0.010000" steps="24087"/></proof>
373 <goal name="poke'vc.33" expl="postcondition" proved="true">
374 <proof prover="4"><result status="valid" time="0.324545" steps="828781"/></proof>
378 <goal name="peekthenpoke'vc" expl="VC for peekthenpoke" proved="true">
379 <transf name="split_goal_right" proved="true" >
380 <goal name="peekthenpoke'vc.0" expl="precondition" proved="true">
381 <proof prover="12"><result status="valid" time="0.020000" steps="17063"/></proof>
383 <goal name="peekthenpoke'vc.1" expl="precondition" proved="true">
384 <proof prover="12"><result status="valid" time="0.020000" steps="17105"/></proof>
386 <goal name="peekthenpoke'vc.2" expl="precondition" proved="true">
387 <proof prover="12"><result status="valid" time="0.010000" steps="15646"/></proof>
389 <goal name="peekthenpoke'vc.3" expl="precondition" proved="true">
390 <proof prover="12"><result status="valid" time="0.020000" steps="15936"/></proof>
392 <goal name="peekthenpoke'vc.4" expl="precondition" proved="true">
393 <proof prover="12"><result status="valid" time="0.020000" steps="17575"/></proof>
395 <goal name="peekthenpoke'vc.5" expl="precondition" proved="true">
396 <proof prover="12"><result status="valid" time="0.010000" steps="15981"/></proof>
398 <goal name="peekthenpoke'vc.6" expl="assertion" proved="true">
399 <proof prover="4"><result status="valid" time="0.092721" steps="188959"/></proof>
401 <goal name="peekthenpoke'vc.7" expl="assertion" proved="true">
402 <proof prover="12"><result status="valid" time="0.290608" steps="47472"/></proof>
404 <goal name="peekthenpoke'vc.8" expl="postcondition" proved="true">
405 <proof prover="12"><result status="valid" time="0.020000" steps="16574"/></proof>
407 <goal name="peekthenpoke'vc.9" expl="postcondition" proved="true">
408 <proof prover="12"><result status="valid" time="0.070000" steps="35750"/></proof>
412 <goal name="pokethenpeek'vc" expl="VC for pokethenpeek" proved="true">
413 <transf name="split_goal_right" proved="true" >
414 <goal name="pokethenpeek'vc.0" expl="assertion" proved="true">
415 <proof prover="4"><result status="valid" time="0.050967" steps="89675"/></proof>
417 <goal name="pokethenpeek'vc.1" expl="precondition" proved="true">
418 <proof prover="12"><result status="valid" time="0.010000" steps="15728"/></proof>
420 <goal name="pokethenpeek'vc.2" expl="precondition" proved="true">
421 <proof prover="12"><result status="valid" time="0.020000" steps="17280"/></proof>
423 <goal name="pokethenpeek'vc.3" expl="precondition" proved="true">
424 <proof prover="12"><result status="valid" time="0.020000" steps="15753"/></proof>
426 <goal name="pokethenpeek'vc.4" expl="assertion" proved="true">
427 <proof prover="12"><result status="valid" time="0.020000" steps="18230"/></proof>
429 <goal name="pokethenpeek'vc.5" expl="precondition" proved="true">
430 <proof prover="12"><result status="valid" time="0.020000" steps="18413"/></proof>
432 <goal name="pokethenpeek'vc.6" expl="precondition" proved="true">
433 <proof prover="12"><result status="valid" time="0.020000" steps="18467"/></proof>
435 <goal name="pokethenpeek'vc.7" expl="precondition" proved="true">
436 <proof prover="12"><result status="valid" time="0.040000" steps="18512"/></proof>
438 <goal name="pokethenpeek'vc.8" expl="assertion" proved="true">
439 <proof prover="3"><result status="valid" time="0.266506" steps="37932"/></proof>
441 <goal name="pokethenpeek'vc.9" expl="postcondition" proved="true">
442 <proof prover="5"><result status="valid" time="0.090000" steps="254"/></proof>