<?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="4.8.4" 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=".."/><path name=".."/><path name="stdlib"/>
<path name="pqueue.mlw"/>
<theory name="Pqueue" proved="true">
 <goal name="t&#39;vc" expl="VC for t" proved="true">
 <proof prover="0"><result status="valid" time="0.04" steps="47631"/></proof>
 </goal>
</theory>
<theory name="Harness" proved="true">
 <goal name="PQ.Refl" proved="true">
 <proof prover="2"><result status="valid" time="0.05" steps="16661"/></proof>
 </goal>
 <goal name="PQ.Trans" proved="true">
 <proof prover="2"><result status="valid" time="0.06" steps="17386"/></proof>
 </goal>
 <goal name="PQ.Total" proved="true">
 <proof prover="2"><result status="valid" time="0.03" steps="17481"/></proof>
 </goal>
 <goal name="heapsort&#39;vc" expl="VC for heapsort" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="heapsort&#39;vc.0" expl="loop invariant init" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="24786"/></proof>
  </goal>
  <goal name="heapsort&#39;vc.1" expl="loop invariant init" proved="true">
  <proof prover="2"><result status="valid" time="0.09" steps="36068"/></proof>
  </goal>
  <goal name="heapsort&#39;vc.2" expl="index in array bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.04" steps="28138"/></proof>
  </goal>
  <goal name="heapsort&#39;vc.3" expl="loop invariant preservation" proved="true">
  <proof prover="2"><result status="valid" time="0.06" steps="29357"/></proof>
  </goal>
  <goal name="heapsort&#39;vc.4" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.14" steps="401"/></proof>
  </goal>
  <goal name="heapsort&#39;vc.5" expl="loop invariant init" proved="true">
  <proof prover="2"><result status="valid" time="0.04" steps="28101"/></proof>
  </goal>
  <goal name="heapsort&#39;vc.6" expl="loop invariant init" proved="true">
  <proof prover="2"><result status="valid" time="0.06" steps="33500"/></proof>
  </goal>
  <goal name="heapsort&#39;vc.7" expl="loop invariant init" proved="true">
  <proof prover="2"><result status="valid" time="0.04" steps="28306"/></proof>
  </goal>
  <goal name="heapsort&#39;vc.8" expl="loop invariant init" proved="true">
  <proof prover="2"><result status="valid" time="0.11" steps="34064"/></proof>
  </goal>
  <goal name="heapsort&#39;vc.9" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="29738"/></proof>
  </goal>
  <goal name="heapsort&#39;vc.10" expl="index in array bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.04" steps="29889"/></proof>
  </goal>
  <goal name="heapsort&#39;vc.11" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="50"/></proof>
  </goal>
  <goal name="heapsort&#39;vc.12" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.03" steps="154"/></proof>
  </goal>
  <goal name="heapsort&#39;vc.13" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.02" steps="125"/></proof>
  </goal>
  <goal name="heapsort&#39;vc.14" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.72" steps="1057"/></proof>
  </goal>
  <goal name="heapsort&#39;vc.15" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="32192"/></proof>
  </goal>
  <goal name="heapsort&#39;vc.16" expl="postcondition" proved="true">
  <proof prover="1" timelimit="10" memlimit="4000"><result status="valid" time="2.89" steps="725"/></proof>
  </goal>
  <goal name="heapsort&#39;vc.17" expl="out of loop bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.04" steps="28436"/></proof>
  </goal>
  <goal name="heapsort&#39;vc.18" expl="out of loop bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="34286"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
