<?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="Z3" version="4.6.0" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="1" name="Alt-Ergo" version="2.2.0" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="2" name="CVC4" version="1.6" timelimit="1" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="array_most_frequent.mlw"/>
<theory name="Top" proved="true">
 <goal name="most_frequent&#39;vc" expl="VC for most_frequent" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="most_frequent&#39;vc.0" expl="index in array bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.03" steps="4900"/></proof>
  </goal>
  <goal name="most_frequent&#39;vc.1" expl="loop invariant init" proved="true">
  <proof prover="2"><result status="valid" time="0.04" steps="7403"/></proof>
  </goal>
  <goal name="most_frequent&#39;vc.2" expl="loop invariant init" proved="true">
  <proof prover="2"><result status="valid" time="0.03" steps="5555"/></proof>
  </goal>
  <goal name="most_frequent&#39;vc.3" expl="loop invariant init" proved="true">
  <proof prover="2"><result status="valid" time="0.04" steps="8208"/></proof>
  </goal>
  <goal name="most_frequent&#39;vc.4" expl="index in array bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.04" steps="5974"/></proof>
  </goal>
  <goal name="most_frequent&#39;vc.5" expl="index in array bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.03" steps="5976"/></proof>
  </goal>
  <goal name="most_frequent&#39;vc.6" expl="index in array bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.03" steps="6181"/></proof>
  </goal>
  <goal name="most_frequent&#39;vc.7" expl="loop invariant preservation" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="9580"/></proof>
  </goal>
  <goal name="most_frequent&#39;vc.8" expl="loop invariant preservation" proved="true">
  <proof prover="2"><result status="valid" time="0.03" steps="6247"/></proof>
  </goal>
  <goal name="most_frequent&#39;vc.9" expl="loop invariant preservation" proved="true">
  <proof prover="2"><result status="valid" time="0.17" steps="34251"/></proof>
  </goal>
  <goal name="most_frequent&#39;vc.10" expl="loop invariant preservation" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="10869"/></proof>
  </goal>
  <goal name="most_frequent&#39;vc.11" expl="loop invariant preservation" proved="true">
  <proof prover="2"><result status="valid" time="0.06" steps="11961"/></proof>
  </goal>
  <goal name="most_frequent&#39;vc.12" expl="loop invariant preservation" proved="true">
  <proof prover="2"><result status="valid" time="0.29" steps="53954"/></proof>
  </goal>
  <goal name="most_frequent&#39;vc.13" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.03" steps="104580"/></proof>
  </goal>
  <goal name="most_frequent&#39;vc.14" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.46" steps="836"/></proof>
  </goal>
  <goal name="most_frequent&#39;vc.15" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.09" steps="208326"/></proof>
  </goal>
  <goal name="most_frequent&#39;vc.16" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.26" steps="1059"/></proof>
  </goal>
  <goal name="most_frequent&#39;vc.17" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.03" steps="6547"/></proof>
  </goal>
  <goal name="most_frequent&#39;vc.18" expl="out of loop bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.03" steps="5570"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
