<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
"http://why3.lri.fr/why3session.dtd">
<why3session shape_version="6">
<prover id="0" name="Alt-Ergo" version="2.1.0" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="2" name="Alt-Ergo" version="2.2.0" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="3" name="CVC4" version="1.6" timelimit="1" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="conjugate.mlw"/>
<theory name="Conjugate" proved="true">
 <goal name="conjugate&#39;vc" expl="VC for conjugate" proved="true">
 <proof prover="0"><result status="valid" time="0.130000" steps="388"/></proof>
 </goal>
</theory>
<theory name="Conjugate32" proved="true">
 <goal name="conjugate&#39;vc" expl="VC for conjugate" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="conjugate&#39;vc.0" expl="loop invariant init" proved="true">
  <proof prover="3"><result status="valid" time="0.030000" steps="2248"/></proof>
  </goal>
  <goal name="conjugate&#39;vc.1" expl="loop invariant init" proved="true">
  <proof prover="3"><result status="valid" time="0.040000" steps="5090"/></proof>
  </goal>
  <goal name="conjugate&#39;vc.2" expl="index in array bounds" proved="true">
  <proof prover="3"><result status="valid" time="0.010000" steps="1984"/></proof>
  </goal>
  <goal name="conjugate&#39;vc.3" expl="index in array bounds" proved="true">
  <proof prover="3"><result status="valid" time="0.020000" steps="2033"/></proof>
  </goal>
  <goal name="conjugate&#39;vc.4" expl="integer overflow" proved="true">
  <proof prover="3"><result status="valid" time="0.020000" steps="3181"/></proof>
  </goal>
  <goal name="conjugate&#39;vc.5" expl="loop invariant init" proved="true">
  <proof prover="3"><result status="valid" time="0.030000" steps="5156"/></proof>
  </goal>
  <goal name="conjugate&#39;vc.6" expl="loop invariant init" proved="true">
  <proof prover="3"><result status="valid" time="0.020000" steps="2664"/></proof>
  </goal>
  <goal name="conjugate&#39;vc.7" expl="index in array bounds" proved="true">
  <proof prover="3"><result status="valid" time="0.020000" steps="2574"/></proof>
  </goal>
  <goal name="conjugate&#39;vc.8" expl="integer overflow" proved="true">
  <proof prover="3"><result status="valid" time="0.030000" steps="3568"/></proof>
  </goal>
  <goal name="conjugate&#39;vc.9" expl="loop variant decrease" proved="true">
  <proof prover="3"><result status="valid" time="0.020000" steps="2641"/></proof>
  </goal>
  <goal name="conjugate&#39;vc.10" expl="loop invariant preservation" proved="true">
  <proof prover="3"><result status="valid" time="0.060000" steps="5639"/></proof>
  </goal>
  <goal name="conjugate&#39;vc.11" expl="loop invariant preservation" proved="true">
  <proof prover="3"><result status="valid" time="0.030000" steps="3933"/></proof>
  </goal>
  <goal name="conjugate&#39;vc.12" expl="integer overflow" proved="true">
  <proof prover="3"><result status="valid" time="0.040000" steps="6807"/></proof>
  </goal>
  <goal name="conjugate&#39;vc.13" expl="index in array bounds" proved="true">
  <proof prover="3"><result status="valid" time="0.020000" steps="2710"/></proof>
  </goal>
  <goal name="conjugate&#39;vc.14" expl="loop invariant init" proved="true">
  <proof prover="3"><result status="valid" time="0.020000" steps="2330"/></proof>
  </goal>
  <goal name="conjugate&#39;vc.15" expl="loop invariant init" proved="true">
  <proof prover="3"><result status="valid" time="0.020000" steps="2348"/></proof>
  </goal>
  <goal name="conjugate&#39;vc.16" expl="index in array bounds" proved="true">
  <proof prover="3"><result status="valid" time="0.080000" steps="11333"/></proof>
  </goal>
  <goal name="conjugate&#39;vc.17" expl="loop invariant preservation" proved="true">
  <proof prover="2"><result status="valid" time="0.050000" steps="403"/></proof>
  </goal>
  <goal name="conjugate&#39;vc.18" expl="loop invariant preservation" proved="true">
  <proof prover="2"><result status="valid" time="0.243941" steps="457"/></proof>
  </goal>
  <goal name="conjugate&#39;vc.19" expl="loop variant decrease" proved="true">
  <proof prover="3"><result status="valid" time="0.020000" steps="3016"/></proof>
  </goal>
  <goal name="conjugate&#39;vc.20" expl="loop invariant preservation" proved="true">
  <proof prover="3"><result status="valid" time="0.020000" steps="2983"/></proof>
  </goal>
  <goal name="conjugate&#39;vc.21" expl="loop invariant preservation" proved="true">
  <proof prover="3"><result status="valid" time="0.260000" steps="33139"/></proof>
  </goal>
  <goal name="conjugate&#39;vc.22" expl="out of loop bounds" proved="true">
  <proof prover="3"><result status="valid" time="0.040000" steps="4507"/></proof>
  </goal>
  <goal name="conjugate&#39;vc.23" expl="assertion" proved="true">
  <proof prover="3"><result status="valid" time="0.020000" steps="2270"/></proof>
  </goal>
  <goal name="conjugate&#39;vc.24" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.030000" steps="3220"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
<theory name="Test" proved="true">
 <goal name="test&#39;vc" expl="VC for test" proved="true">
 <proof prover="0"><result status="valid" time="0.110000" steps="182"/></proof>
 </goal>
 <goal name="bench&#39;vc" expl="VC for bench" proved="true">
 <proof prover="0"><result status="valid" time="0.000000" steps="2"/></proof>
 </goal>
</theory>
</file>
</why3session>
