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="0" name="Alt-Ergo" version="2.6.0" timelimit="1" steplimit="0" memlimit="1000"/>
6 <prover id="1" name="Alt-Ergo" version="2.3.3" timelimit="5" 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="12" name="CVC4" version="1.5" timelimit="1" steplimit="0" memlimit="1000"/>
10 <file format="whyml" proved="true">
11 <path name=".."/><path name="bitwalker.mlw"/>
12 <theory name="Bitwalker" proved="true">
13 <goal name="nth64" proved="true">
14 <proof prover="0"><result status="valid" time="0.132149" steps="1498"/></proof>
16 <goal name="nth8" proved="true">
17 <proof prover="0"><result status="valid" time="0.060000" steps="1744"/></proof>
19 <goal name="nth_ultpre0'vc" expl="VC for nth_ultpre0" proved="true">
20 <transf name="split_goal_right" proved="true" >
21 <goal name="nth_ultpre0'vc.0" expl="assertion" proved="true">
22 <proof prover="0"><result status="valid" time="0.060000" steps="610"/></proof>
23 <proof prover="4"><result status="valid" time="0.010000" steps="43344"/></proof>
25 <goal name="nth_ultpre0'vc.1" expl="assertion" proved="true">
26 <proof prover="4"><result status="valid" time="0.030000" steps="238814"/></proof>
28 <goal name="nth_ultpre0'vc.2" expl="postcondition" proved="true">
29 <proof prover="0"><result status="valid" time="0.100000" steps="1506"/></proof>
30 <proof prover="4"><result status="valid" time="0.376085" steps="1650977"/></proof>
34 <goal name="poke_64bit_bv'vc" expl="VC for poke_64bit_bv" proved="true">
35 <transf name="split_goal_right" proved="true" >
36 <goal name="poke_64bit_bv'vc.0" expl="assertion" proved="true">
37 <proof prover="4"><result status="valid" time="0.010000" steps="36540"/></proof>
39 <goal name="poke_64bit_bv'vc.1" expl="arithmetic overflow" proved="true">
40 <proof prover="12"><result status="valid" time="0.020000" steps="15230"/></proof>
42 <goal name="poke_64bit_bv'vc.2" expl="postcondition" proved="true">
43 <proof prover="3"><result status="valid" time="0.180000" steps="29522"/></proof>
45 <goal name="poke_64bit_bv'vc.3" expl="postcondition" proved="true">
46 <proof prover="3"><result status="valid" time="0.100000" steps="17018"/></proof>
48 <goal name="poke_64bit_bv'vc.4" expl="postcondition" proved="true">
49 <proof prover="4"><result status="valid" time="0.030000" steps="193010"/></proof>
51 <goal name="poke_64bit_bv'vc.5" expl="postcondition" proved="true">
52 <proof prover="4"><result status="valid" time="0.240000" steps="246075"/></proof>
56 <goal name="poke_64bit'vc" expl="VC for poke_64bit" proved="true">
57 <transf name="split_goal_right" proved="true" >
58 <goal name="poke_64bit'vc.0" expl="assertion" proved="true">
59 <proof prover="4"><result status="valid" time="0.020000" steps="111987"/></proof>
61 <goal name="poke_64bit'vc.1" expl="assertion" proved="true">
62 <proof prover="4"><result status="valid" time="0.040000" steps="332714"/></proof>
64 <goal name="poke_64bit'vc.2" expl="postcondition" proved="true">
65 <proof prover="12"><result status="valid" time="0.040000" steps="35196"/></proof>
67 <goal name="poke_64bit'vc.3" expl="postcondition" proved="true">
68 <proof prover="3"><result status="valid" time="0.070000" steps="13716"/></proof>
70 <goal name="poke_64bit'vc.4" expl="postcondition" proved="true">
71 <proof prover="3"><result status="valid" time="0.411064" steps="79615"/></proof>
73 <goal name="poke_64bit'vc.5" expl="postcondition" proved="true">
74 <proof prover="12"><result status="valid" time="0.040000" steps="28565"/></proof>
78 <goal name="peek_8bit_bv'vc" expl="VC for peek_8bit_bv" proved="true">
79 <transf name="split_goal_right" proved="true" >
80 <goal name="peek_8bit_bv'vc.0" expl="assertion" proved="true">
81 <proof prover="4"><result status="valid" time="0.010000" steps="43674"/></proof>
83 <goal name="peek_8bit_bv'vc.1" expl="arithmetic overflow" proved="true">
84 <proof prover="12"><result status="valid" time="0.020000" steps="15244"/></proof>
86 <goal name="peek_8bit_bv'vc.2" expl="postcondition" proved="true">
87 <proof prover="3"><result status="valid" time="0.060000" steps="8853"/></proof>
89 <goal name="peek_8bit_bv'vc.3" expl="postcondition" proved="true">
90 <proof prover="4"><result status="valid" time="0.020000" steps="100615"/></proof>
94 <goal name="peek_8bit_array'vc" expl="VC for peek_8bit_array" proved="true">
95 <transf name="split_goal_right" proved="true" >
96 <goal name="peek_8bit_array'vc.0" expl="remainder by zero" proved="true">
97 <proof prover="12"><result status="valid" time="0.010000" steps="15597"/></proof>
99 <goal name="peek_8bit_array'vc.1" expl="division by zero" proved="true">
100 <proof prover="12"><result status="valid" time="0.010000" steps="15684"/></proof>
102 <goal name="peek_8bit_array'vc.2" expl="index in array bounds" proved="true">
103 <proof prover="12"><result status="valid" time="0.020000" steps="17875"/></proof>
105 <goal name="peek_8bit_array'vc.3" expl="precondition" proved="true">
106 <proof prover="12"><result status="valid" time="0.040000" steps="17803"/></proof>
108 <goal name="peek_8bit_array'vc.4" expl="postcondition" proved="true">
109 <proof prover="4"><result status="valid" time="0.010000" steps="38072"/></proof>
113 <goal name="peek'vc" expl="VC for peek" proved="true">
114 <transf name="split_goal_right" proved="true" >
115 <goal name="peek'vc.0" expl="arithmetic overflow" proved="true">
116 <proof prover="12"><result status="valid" time="0.020000" steps="15641"/></proof>
118 <goal name="peek'vc.1" expl="postcondition" proved="true">
119 <proof prover="12"><result status="valid" time="0.010000" steps="15152"/></proof>
121 <goal name="peek'vc.2" expl="postcondition" proved="true">
122 <proof prover="12"><result status="valid" time="0.030000" steps="17672"/></proof>
124 <goal name="peek'vc.3" expl="arithmetic overflow" proved="true">
125 <proof prover="12"><result status="valid" time="0.020000" steps="15793"/></proof>
127 <goal name="peek'vc.4" expl="loop invariant init" proved="true">
128 <proof prover="12"><result status="valid" time="0.020000" steps="17410"/></proof>
130 <goal name="peek'vc.5" expl="loop invariant init" proved="true">
131 <proof prover="0"><result status="valid" time="0.070000" steps="253"/></proof>
133 <goal name="peek'vc.6" expl="loop invariant init" proved="true">
134 <proof prover="4"><result status="valid" time="0.010000" steps="29459"/></proof>
136 <goal name="peek'vc.7" expl="loop invariant init" proved="true">
137 <proof prover="4"><result status="valid" time="0.010000" steps="29431"/></proof>
139 <goal name="peek'vc.8" expl="arithmetic overflow" proved="true">
140 <proof prover="12"><result status="valid" time="0.020000" steps="18197"/></proof>
142 <goal name="peek'vc.9" expl="precondition" proved="true">
143 <proof prover="12"><result status="valid" time="0.010000" steps="16404"/></proof>
145 <goal name="peek'vc.10" expl="precondition" proved="true">
146 <proof prover="4"><result status="valid" time="0.030000" steps="156924"/></proof>
148 <goal name="peek'vc.11" expl="arithmetic overflow" proved="true">
149 <proof prover="12"><result status="valid" time="0.020000" steps="18405"/></proof>
151 <goal name="peek'vc.12" expl="precondition" proved="true">
152 <proof prover="4"><result status="valid" time="0.030000" steps="127341"/></proof>
154 <goal name="peek'vc.13" expl="arithmetic overflow" proved="true">
155 <proof prover="12"><result status="valid" time="0.020000" steps="19252"/></proof>
157 <goal name="peek'vc.14" expl="loop variant decrease" proved="true">
158 <proof prover="12"><result status="valid" time="0.030000" steps="19434"/></proof>
160 <goal name="peek'vc.15" expl="loop invariant preservation" proved="true">
161 <proof prover="4"><result status="valid" time="0.046400" steps="229167"/></proof>
163 <goal name="peek'vc.16" expl="loop invariant preservation" proved="true">
164 <proof prover="4"><result status="valid" time="0.179599" steps="700046"/></proof>
166 <goal name="peek'vc.17" expl="loop invariant preservation" proved="true">
167 <proof prover="0"><result status="valid" time="0.250000" steps="2458"/></proof>
169 <goal name="peek'vc.18" expl="loop invariant preservation" proved="true">
170 <proof prover="4"><result status="valid" time="0.020000" steps="60472"/></proof>
172 <goal name="peek'vc.19" expl="postcondition" proved="true">
173 <proof prover="12"><result status="valid" time="0.020000" steps="18167"/></proof>
175 <goal name="peek'vc.20" expl="postcondition" proved="true">
176 <proof prover="4"><result status="valid" time="0.178413" steps="398542"/></proof>
180 <goal name="peek_64bit'vc" expl="VC for peek_64bit" proved="true">
181 <transf name="split_goal_right" proved="true" >
182 <goal name="peek_64bit'vc.0" expl="assertion" proved="true">
183 <proof prover="4"><result status="valid" time="0.010000" steps="36540"/></proof>
185 <goal name="peek_64bit'vc.1" expl="arithmetic overflow" proved="true">
186 <proof prover="12"><result status="valid" time="0.020000" steps="15230"/></proof>
188 <goal name="peek_64bit'vc.2" expl="postcondition" proved="true">
189 <proof prover="3"><result status="valid" time="0.100000" steps="16652"/></proof>
191 <goal name="peek_64bit'vc.3" expl="postcondition" proved="true">
192 <proof prover="4"><result status="valid" time="0.538274" steps="1220616"/></proof>
196 <goal name="poke_8bit'vc" expl="VC for poke_8bit" proved="true">
197 <transf name="split_goal_right" proved="true" >
198 <goal name="poke_8bit'vc.0" expl="assertion" proved="true">
199 <proof prover="4"><result status="valid" time="0.010000" steps="43249"/></proof>
201 <goal name="poke_8bit'vc.1" expl="arithmetic overflow" proved="true">
202 <proof prover="3"><result status="valid" time="0.080000" steps="4774"/></proof>
204 <goal name="poke_8bit'vc.2" expl="postcondition" proved="true">
205 <proof prover="3"><result status="valid" time="0.080000" steps="12123"/></proof>
207 <goal name="poke_8bit'vc.3" expl="postcondition" proved="true">
208 <proof prover="3"><result status="valid" time="0.050000" steps="7401"/></proof>
210 <goal name="poke_8bit'vc.4" expl="postcondition" proved="true">
211 <proof prover="4"><result status="valid" time="0.020000" steps="111398"/></proof>
213 <goal name="poke_8bit'vc.5" expl="postcondition" proved="true">
214 <proof prover="4"><result status="valid" time="0.030000" steps="127349"/></proof>
218 <goal name="poke_8bit_array'vc" expl="VC for poke_8bit_array" proved="true">
219 <transf name="split_goal_right" proved="true" >
220 <goal name="poke_8bit_array'vc.0" expl="division by zero" proved="true">
221 <proof prover="12"><result status="valid" time="0.010000" steps="15597"/></proof>
223 <goal name="poke_8bit_array'vc.1" expl="remainder by zero" proved="true">
224 <proof prover="12"><result status="valid" time="0.020000" steps="15684"/></proof>
226 <goal name="poke_8bit_array'vc.2" expl="index in array bounds" proved="true">
227 <proof prover="12"><result status="valid" time="0.040000" steps="17884"/></proof>
229 <goal name="poke_8bit_array'vc.3" expl="precondition" proved="true">
230 <proof prover="12"><result status="valid" time="0.030000" steps="17731"/></proof>
232 <goal name="poke_8bit_array'vc.4" expl="index in array bounds" proved="true">
233 <proof prover="12"><result status="valid" time="0.030000" steps="18654"/></proof>
235 <goal name="poke_8bit_array'vc.5" expl="postcondition" proved="true">
236 <transf name="introduce_premises" proved="true" >
237 <goal name="poke_8bit_array'vc.5.0" expl="postcondition" proved="true">
238 <transf name="case" proved="true" arg1="(div i 8 = o)">
239 <goal name="poke_8bit_array'vc.5.0.0" expl="true case (postcondition)" proved="true">
240 <proof prover="0" timelimit="5"><result status="valid" time="0.218639" steps="2588"/></proof>
242 <goal name="poke_8bit_array'vc.5.0.1" expl="false case (postcondition)" proved="true">
243 <proof prover="0" timelimit="5"><result status="valid" time="0.184018" steps="2356"/></proof>
249 <goal name="poke_8bit_array'vc.6" expl="postcondition" proved="true">
250 <proof prover="0"><result status="valid" time="0.100000" steps="1520"/></proof>
254 <goal name="poke'vc" expl="VC for poke" proved="true">
255 <transf name="split_goal_right" proved="true" >
256 <goal name="poke'vc.0" expl="arithmetic overflow" proved="true">
257 <proof prover="12"><result status="valid" time="0.030000" steps="15636"/></proof>
259 <goal name="poke'vc.1" expl="postcondition" proved="true">
260 <proof prover="12"><result status="valid" time="0.010000" steps="15681"/></proof>
262 <goal name="poke'vc.2" expl="postcondition" proved="true">
263 <proof prover="12"><result status="valid" time="0.020000" steps="17270"/></proof>
265 <goal name="poke'vc.3" expl="postcondition" proved="true">
266 <proof prover="12"><result status="valid" time="0.020000" steps="15791"/></proof>
268 <goal name="poke'vc.4" expl="postcondition" proved="true">
269 <proof prover="12"><result status="valid" time="0.020000" steps="15828"/></proof>
271 <goal name="poke'vc.5" expl="postcondition" proved="true">
272 <proof prover="12"><result status="valid" time="0.010000" steps="15993"/></proof>
274 <goal name="poke'vc.6" expl="postcondition" proved="true">
275 <proof prover="12"><result status="valid" time="0.020000" steps="15721"/></proof>
277 <goal name="poke'vc.7" expl="postcondition" proved="true">
278 <proof prover="12"><result status="valid" time="0.030000" steps="17332"/></proof>
280 <goal name="poke'vc.8" expl="postcondition" proved="true">
281 <proof prover="4"><result status="valid" time="0.588857" steps="2279828"/></proof>
283 <goal name="poke'vc.9" expl="postcondition" proved="true">
284 <proof prover="12"><result status="valid" time="0.020000" steps="15861"/></proof>
286 <goal name="poke'vc.10" expl="postcondition" proved="true">
287 <proof prover="12"><result status="valid" time="0.020000" steps="16026"/></proof>
289 <goal name="poke'vc.11" expl="arithmetic overflow" proved="true">
290 <proof prover="12"><result status="valid" time="0.040000" steps="17309"/></proof>
292 <goal name="poke'vc.12" expl="loop invariant init" proved="true">
293 <proof prover="12"><result status="valid" time="0.020000" steps="18990"/></proof>
295 <goal name="poke'vc.13" expl="loop invariant init" proved="true">
296 <proof prover="12"><result status="valid" time="0.020000" steps="15152"/></proof>
298 <goal name="poke'vc.14" expl="loop invariant init" proved="true">
299 <proof prover="12"><result status="valid" time="0.010000" steps="15877"/></proof>
301 <goal name="poke'vc.15" expl="loop invariant init" proved="true">
302 <proof prover="12"><result status="valid" time="0.010000" steps="15152"/></proof>
304 <goal name="poke'vc.16" expl="arithmetic overflow" proved="true">
305 <proof prover="12"><result status="valid" time="0.020000" steps="18434"/></proof>
307 <goal name="poke'vc.17" expl="precondition" proved="true">
308 <proof prover="4"><result status="valid" time="0.020000" steps="238352"/></proof>
310 <goal name="poke'vc.18" expl="arithmetic overflow" proved="true">
311 <proof prover="12"><result status="valid" time="0.040000" steps="18605"/></proof>
313 <goal name="poke'vc.19" expl="precondition" proved="true">
314 <proof prover="12"><result status="valid" time="0.020000" steps="18659"/></proof>
316 <goal name="poke'vc.20" expl="precondition" proved="true">
317 <proof prover="4"><result status="valid" time="0.030000" steps="207386"/></proof>
319 <goal name="poke'vc.21" expl="assertion" proved="true">
320 <transf name="split_goal_right" proved="true" >
321 <goal name="poke'vc.21.0" expl="assertion" proved="true">
322 <proof prover="0"><result status="valid" time="0.040000" steps="286"/></proof>
326 <goal name="poke'vc.22" expl="assertion" proved="true">
327 <transf name="split_goal_right" proved="true" >
328 <goal name="poke'vc.22.0" expl="assertion" proved="true">
329 <proof prover="3"><result status="valid" time="0.040000" steps="6609"/></proof>
331 <goal name="poke'vc.22.1" expl="assertion" proved="true">
332 <proof prover="3"><result status="valid" time="0.050000" steps="11212"/></proof>
334 <goal name="poke'vc.22.2" expl="assertion" proved="true">
335 <proof prover="3"><result status="valid" time="0.050000" steps="8980"/></proof>
337 <goal name="poke'vc.22.3" expl="assertion" proved="true">
338 <proof prover="4"><result status="valid" time="0.020000" steps="36422"/></proof>
342 <goal name="poke'vc.23" expl="arithmetic overflow" proved="true">
343 <proof prover="12"><result status="valid" time="0.030000" steps="20233"/></proof>
345 <goal name="poke'vc.24" expl="loop variant decrease" proved="true">
346 <proof prover="12"><result status="valid" time="0.040000" steps="20414"/></proof>
348 <goal name="poke'vc.25" expl="loop invariant preservation" proved="true">
349 <proof prover="4"><result status="valid" time="0.060000" steps="308620"/></proof>
351 <goal name="poke'vc.26" expl="loop invariant preservation" proved="true">
352 <proof prover="3"><result status="valid" time="0.140000" steps="30982"/></proof>
354 <goal name="poke'vc.27" expl="loop invariant preservation" proved="true">
355 <proof prover="0"><result status="valid" time="0.250000" steps="2291"/></proof>
357 <goal name="poke'vc.28" expl="loop invariant preservation" proved="true">
358 <proof prover="4"><result status="valid" time="0.140000" steps="374916"/></proof>
360 <goal name="poke'vc.29" expl="postcondition" proved="true">
361 <proof prover="12"><result status="valid" time="0.010000" steps="16225"/></proof>
363 <goal name="poke'vc.30" expl="postcondition" proved="true">
364 <proof prover="12"><result status="valid" time="0.020000" steps="18349"/></proof>
366 <goal name="poke'vc.31" expl="postcondition" proved="true">
367 <proof prover="0"><result status="valid" time="0.070000" steps="767"/></proof>
369 <goal name="poke'vc.32" expl="postcondition" proved="true">
370 <proof prover="4"><result status="valid" time="0.010000" steps="24087"/></proof>
372 <goal name="poke'vc.33" expl="postcondition" proved="true">
373 <proof prover="4"><result status="valid" time="0.324545" steps="828781"/></proof>
377 <goal name="peekthenpoke'vc" expl="VC for peekthenpoke" proved="true">
378 <transf name="split_goal_right" proved="true" >
379 <goal name="peekthenpoke'vc.0" expl="precondition" proved="true">
380 <proof prover="12"><result status="valid" time="0.020000" steps="17063"/></proof>
382 <goal name="peekthenpoke'vc.1" expl="precondition" proved="true">
383 <proof prover="12"><result status="valid" time="0.020000" steps="17105"/></proof>
385 <goal name="peekthenpoke'vc.2" expl="precondition" proved="true">
386 <proof prover="12"><result status="valid" time="0.010000" steps="15646"/></proof>
388 <goal name="peekthenpoke'vc.3" expl="precondition" proved="true">
389 <proof prover="12"><result status="valid" time="0.020000" steps="15936"/></proof>
391 <goal name="peekthenpoke'vc.4" expl="precondition" proved="true">
392 <proof prover="12"><result status="valid" time="0.020000" steps="17575"/></proof>
394 <goal name="peekthenpoke'vc.5" expl="precondition" proved="true">
395 <proof prover="12"><result status="valid" time="0.010000" steps="15981"/></proof>
397 <goal name="peekthenpoke'vc.6" expl="assertion" proved="true">
398 <proof prover="4"><result status="valid" time="0.092721" steps="188959"/></proof>
400 <goal name="peekthenpoke'vc.7" expl="assertion" proved="true">
401 <proof prover="12"><result status="valid" time="0.290608" steps="47472"/></proof>
403 <goal name="peekthenpoke'vc.8" expl="postcondition" proved="true">
404 <proof prover="12"><result status="valid" time="0.020000" steps="16574"/></proof>
406 <goal name="peekthenpoke'vc.9" expl="postcondition" proved="true">
407 <proof prover="12"><result status="valid" time="0.070000" steps="35750"/></proof>
411 <goal name="pokethenpeek'vc" expl="VC for pokethenpeek" proved="true">
412 <transf name="split_goal_right" proved="true" >
413 <goal name="pokethenpeek'vc.0" expl="assertion" proved="true">
414 <proof prover="4"><result status="valid" time="0.050967" steps="89675"/></proof>
416 <goal name="pokethenpeek'vc.1" expl="precondition" proved="true">
417 <proof prover="12"><result status="valid" time="0.010000" steps="15728"/></proof>
419 <goal name="pokethenpeek'vc.2" expl="precondition" proved="true">
420 <proof prover="12"><result status="valid" time="0.020000" steps="17280"/></proof>
422 <goal name="pokethenpeek'vc.3" expl="precondition" proved="true">
423 <proof prover="12"><result status="valid" time="0.020000" steps="15753"/></proof>
425 <goal name="pokethenpeek'vc.4" expl="assertion" proved="true">
426 <proof prover="12"><result status="valid" time="0.020000" steps="18230"/></proof>
428 <goal name="pokethenpeek'vc.5" expl="precondition" proved="true">
429 <proof prover="12"><result status="valid" time="0.020000" steps="18413"/></proof>
431 <goal name="pokethenpeek'vc.6" expl="precondition" proved="true">
432 <proof prover="12"><result status="valid" time="0.020000" steps="18467"/></proof>
434 <goal name="pokethenpeek'vc.7" expl="precondition" proved="true">
435 <proof prover="12"><result status="valid" time="0.040000" steps="18512"/></proof>
437 <goal name="pokethenpeek'vc.8" expl="assertion" proved="true">
438 <proof prover="3"><result status="valid" time="0.266506" steps="37932"/></proof>
440 <goal name="pokethenpeek'vc.9" expl="postcondition" proved="true">
441 <proof prover="1"><result status="valid" time="0.043201" steps="246"/></proof>