<?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="CVC4" version="1.5" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="1" name="CVC3" version="2.4.1" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="3" name="Z3" version="4.5.0" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="5" name="Alt-Ergo" version="2.0.0" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="compare.mlw"/>
<theory name="Compare" proved="true">
 <goal name="wmpn_cmp&#39;vc" expl="VC for wmpn_cmp" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="wmpn_cmp&#39;vc.0" expl="loop invariant init" proved="true">
  <proof prover="5"><result status="valid" time="0.04" steps="11"/></proof>
  </goal>
  <goal name="wmpn_cmp&#39;vc.1" expl="loop invariant init" proved="true">
  <proof prover="3"><result status="valid" time="0.03" steps="2260"/></proof>
  <proof prover="5"><result status="valid" time="0.03" steps="12"/></proof>
  </goal>
  <goal name="wmpn_cmp&#39;vc.2" expl="assertion" proved="true">
  <proof prover="5"><result status="valid" time="0.05" steps="40"/></proof>
  </goal>
  <goal name="wmpn_cmp&#39;vc.3" expl="precondition" proved="true">
  <proof prover="5"><result status="valid" time="0.03" steps="47"/></proof>
  </goal>
  <goal name="wmpn_cmp&#39;vc.4" expl="integer overflow" proved="true">
  <proof prover="5"><result status="valid" time="0.04" steps="26"/></proof>
  </goal>
  <goal name="wmpn_cmp&#39;vc.5" expl="assertion" proved="true">
  <proof prover="5"><result status="valid" time="0.03" steps="16"/></proof>
  </goal>
  <goal name="wmpn_cmp&#39;vc.6" expl="precondition" proved="true">
  <proof prover="5"><result status="valid" time="0.03" steps="28"/></proof>
  </goal>
  <goal name="wmpn_cmp&#39;vc.7" expl="precondition" proved="true">
  <proof prover="5"><result status="valid" time="0.06" steps="28"/></proof>
  </goal>
  <goal name="wmpn_cmp&#39;vc.8" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.06"/></proof>
  </goal>
  <goal name="wmpn_cmp&#39;vc.9" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.10"/></proof>
  </goal>
  <goal name="wmpn_cmp&#39;vc.10" expl="assertion" proved="true">
  <proof prover="5"><result status="valid" time="0.04" steps="51"/></proof>
  </goal>
  <goal name="wmpn_cmp&#39;vc.11" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.02" steps="24511"/></proof>
  <proof prover="5"><result status="valid" time="0.07" steps="23"/></proof>
  </goal>
  <goal name="wmpn_cmp&#39;vc.12" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.02" steps="24777"/></proof>
  <proof prover="5"><result status="valid" time="0.05" steps="24"/></proof>
  </goal>
  <goal name="wmpn_cmp&#39;vc.13" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.02" steps="25087"/></proof>
  <proof prover="5"><result status="valid" time="0.05" steps="26"/></proof>
  </goal>
  <goal name="wmpn_cmp&#39;vc.14" expl="assertion" proved="true">
  <transf name="inline_goal" proved="true" >
   <goal name="wmpn_cmp&#39;vc.14.0" expl="assertion" proved="true">
   <proof prover="5"><result status="valid" time="0.04" steps="36"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="wmpn_cmp&#39;vc.15" expl="assertion" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="wmpn_cmp&#39;vc.15.0" expl="VC for wmpn_cmp" proved="true">
   <proof prover="1" memlimit="2000"><result status="valid" time="0.17"/></proof>
   </goal>
   <goal name="wmpn_cmp&#39;vc.15.1" expl="VC for wmpn_cmp" proved="true">
   <proof prover="3"><result status="valid" time="0.03" steps="33977"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="wmpn_cmp&#39;vc.16" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="33441"/></proof>
  </goal>
  <goal name="wmpn_cmp&#39;vc.17" expl="assertion" proved="true">
  <proof prover="3"><result status="valid" time="0.03" steps="25304"/></proof>
  <proof prover="5"><result status="valid" time="0.05" steps="26"/></proof>
  </goal>
  <goal name="wmpn_cmp&#39;vc.18" expl="precondition" proved="true">
  <proof prover="5"><result status="valid" time="0.06" steps="27"/></proof>
  </goal>
  <goal name="wmpn_cmp&#39;vc.19" expl="assertion" proved="true">
  <transf name="inline_goal" proved="true" >
   <goal name="wmpn_cmp&#39;vc.19.0" expl="assertion" proved="true">
   <proof prover="5"><result status="valid" time="0.04" steps="37"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="wmpn_cmp&#39;vc.20" expl="assertion" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="wmpn_cmp&#39;vc.20.0" expl="VC for wmpn_cmp" proved="true">
   <proof prover="1" memlimit="2000"><result status="valid" time="0.10"/></proof>
   </goal>
   <goal name="wmpn_cmp&#39;vc.20.1" expl="VC for wmpn_cmp" proved="true">
   <proof prover="3"><result status="valid" time="0.02" steps="33906"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="wmpn_cmp&#39;vc.21" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.03" steps="49848"/></proof>
  </goal>
  <goal name="wmpn_cmp&#39;vc.22" expl="loop variant decrease" proved="true">
  <proof prover="3"><result status="valid" time="0.03" steps="25962"/></proof>
  <proof prover="5"><result status="valid" time="0.03" steps="20"/></proof>
  </goal>
  <goal name="wmpn_cmp&#39;vc.23" expl="loop invariant preservation" proved="true">
  <proof prover="5"><result status="valid" time="0.04" steps="20"/></proof>
  </goal>
  <goal name="wmpn_cmp&#39;vc.24" expl="loop invariant preservation" proved="true">
  <proof prover="5"><result status="valid" time="0.03" steps="44"/></proof>
  </goal>
  <goal name="wmpn_cmp&#39;vc.25" expl="precondition" proved="true">
  <proof prover="5"><result status="valid" time="0.04" steps="44"/></proof>
  </goal>
  <goal name="wmpn_cmp&#39;vc.26" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.03" steps="27278"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
