<?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="2" name="Z3" version="4.3.2" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="3" name="CVC4" version="1.4" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="4" name="Alt-Ergo" version="2.3.0" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="5" name="Z3" version="3.2" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="6" name="Alt-Ergo" version="2.0.0" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="optimal_replay.mlw"/>
<theory name="OptimalReplay" proved="true">
 <goal name="n&#39;vc" expl="VC for n" proved="true">
 <proof prover="4"><result status="valid" time="0.00" steps="0"/></proof>
 </goal>
 <goal name="distance&#39;vc" expl="VC for distance" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="distance&#39;vc.0" expl="array creation size" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="3"/></proof>
  </goal>
  <goal name="distance&#39;vc.1" expl="index in array bounds" proved="true">
  <proof prover="6"><result status="valid" time="0.02" steps="4"/></proof>
  </goal>
  <goal name="distance&#39;vc.2" expl="array creation size" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="7"/></proof>
  </goal>
  <goal name="distance&#39;vc.3" expl="loop invariant init" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="14"/></proof>
  </goal>
  <goal name="distance&#39;vc.4" expl="loop invariant init" proved="true">
  <proof prover="6"><result status="valid" time="0.02" steps="12"/></proof>
  </goal>
  <goal name="distance&#39;vc.5" expl="loop invariant init" proved="true">
  <proof prover="6"><result status="valid" time="0.02" steps="34"/></proof>
  </goal>
  <goal name="distance&#39;vc.6" expl="loop invariant init" proved="true">
  <proof prover="6"><result status="valid" time="0.02" steps="17"/></proof>
  </goal>
  <goal name="distance&#39;vc.7" expl="loop invariant init" proved="true">
  <proof prover="6"><result status="valid" time="0.02" steps="18"/></proof>
  </goal>
  <goal name="distance&#39;vc.8" expl="precondition" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="19"/></proof>
  </goal>
  <goal name="distance&#39;vc.9" expl="index in array bounds" proved="true">
  <proof prover="6"><result status="valid" time="0.02" steps="21"/></proof>
  </goal>
  <goal name="distance&#39;vc.10" expl="index in array bounds" proved="true">
  <proof prover="6"><result status="valid" time="0.02" steps="23"/></proof>
  </goal>
  <goal name="distance&#39;vc.11" expl="loop variant decrease" proved="true">
  <proof prover="3"><result status="valid" time="0.04"/></proof>
  </goal>
  <goal name="distance&#39;vc.12" expl="loop invariant preservation" proved="true">
  <proof prover="6"><result status="valid" time="0.02" steps="26"/></proof>
  </goal>
  <goal name="distance&#39;vc.13" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.04"/></proof>
  <proof prover="3"><result status="valid" time="0.05"/></proof>
  </goal>
  <goal name="distance&#39;vc.14" expl="index in array bounds" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="22"/></proof>
  </goal>
  <goal name="distance&#39;vc.15" expl="index in array bounds" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="22"/></proof>
  </goal>
  <goal name="distance&#39;vc.16" expl="index in array bounds" proved="true">
  <proof prover="6"><result status="valid" time="0.02" steps="25"/></proof>
  </goal>
  <goal name="distance&#39;vc.17" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.04"/></proof>
  <proof prover="2"><result status="valid" time="0.03"/></proof>
  <proof prover="3"><result status="valid" time="0.02"/></proof>
  <proof prover="5"><result status="valid" time="0.02"/></proof>
  </goal>
  <goal name="distance&#39;vc.18" expl="loop invariant preservation" proved="true">
  <proof prover="1" timelimit="17"><result status="valid" time="0.78"/></proof>
  </goal>
  <goal name="distance&#39;vc.19" expl="loop invariant preservation" proved="true">
  <transf name="unfold" proved="true" arg1="distance">
   <goal name="distance&#39;vc.19.0" expl="loop invariant preservation" proved="true">
   <transf name="split_goal_right" proved="true" >
    <goal name="distance&#39;vc.19.0.0" expl="loop invariant preservation" proved="true">
    <proof prover="0"><result status="valid" time="0.38" steps="58395"/></proof>
    </goal>
    <goal name="distance&#39;vc.19.0.1" expl="loop invariant preservation" proved="true">
    <proof prover="3" timelimit="10" memlimit="4000"><result status="valid" time="1.39"/></proof>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="distance&#39;vc.20" expl="assertion" proved="true">
  <proof prover="3"><result status="valid" time="0.06"/></proof>
  </goal>
  <goal name="distance&#39;vc.21" expl="assertion" proved="true">
  <proof prover="6" timelimit="36"><result status="valid" time="0.00" steps="18"/></proof>
  </goal>
  <goal name="distance&#39;vc.22" expl="out of loop bounds" proved="true">
  <proof prover="6"><result status="valid" time="0.02" steps="8"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
