<?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="2.0.0" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="find.mlw"/>
<theory name="FIND" proved="true">
 <goal name="find&#39;vc" expl="VC for find" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="find&#39;vc.0" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="11"/></proof>
  </goal>
  <goal name="find&#39;vc.1" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="11"/></proof>
  </goal>
  <goal name="find&#39;vc.2" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.02" steps="64"/></proof>
  </goal>
  <goal name="find&#39;vc.3" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="22"/></proof>
  </goal>
  <goal name="find&#39;vc.4" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="33"/></proof>
  </goal>
  <goal name="find&#39;vc.5" expl="loop variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="27"/></proof>
  </goal>
  <goal name="find&#39;vc.6" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="98"/></proof>
  </goal>
  <goal name="find&#39;vc.7" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="27"/></proof>
  </goal>
  <goal name="find&#39;vc.8" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="31"/></proof>
  </goal>
  <goal name="find&#39;vc.9" expl="loop variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="32"/></proof>
  </goal>
  <goal name="find&#39;vc.10" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="112"/></proof>
  </goal>
  <goal name="find&#39;vc.11" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="31"/></proof>
  </goal>
  <goal name="find&#39;vc.12" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="43"/></proof>
  </goal>
  <goal name="find&#39;vc.13" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="35"/></proof>
  </goal>
  <goal name="find&#39;vc.14" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="43"/></proof>
  </goal>
  <goal name="find&#39;vc.15" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="38"/></proof>
  </goal>
  <goal name="find&#39;vc.16" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.09" steps="151"/></proof>
  </goal>
  <goal name="find&#39;vc.17" expl="loop variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.02" steps="45"/></proof>
  </goal>
  <goal name="find&#39;vc.18" expl="loop invariant preservation" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="find&#39;vc.18.0" expl="VC for find" proved="true">
   <proof prover="0" timelimit="15"><result status="valid" time="1.95" steps="1677"/></proof>
   </goal>
   <goal name="find&#39;vc.18.1" expl="VC for find" proved="true">
   <proof prover="0" timelimit="15"><result status="valid" time="1.87" steps="1564"/></proof>
   </goal>
   <goal name="find&#39;vc.18.2" expl="VC for find" proved="true">
   <proof prover="0"><result status="valid" time="1.52" steps="1196"/></proof>
   </goal>
   <goal name="find&#39;vc.18.3" expl="VC for find" proved="true">
   <proof prover="0"><result status="valid" time="0.94" steps="695"/></proof>
   </goal>
   <goal name="find&#39;vc.18.4" expl="VC for find" proved="true">
   <proof prover="0"><result status="valid" time="0.02" steps="45"/></proof>
   </goal>
   <goal name="find&#39;vc.18.5" expl="VC for find" proved="true">
   <proof prover="0"><result status="valid" time="0.02" steps="45"/></proof>
   </goal>
   <goal name="find&#39;vc.18.6" expl="VC for find" proved="true">
   <proof prover="0"><result status="valid" time="0.02" steps="57"/></proof>
   </goal>
   <goal name="find&#39;vc.18.7" expl="VC for find" proved="true">
   <proof prover="0"><result status="valid" time="2.49" steps="819"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="find&#39;vc.19" expl="loop variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="34"/></proof>
  </goal>
  <goal name="find&#39;vc.20" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="64"/></proof>
  </goal>
  <goal name="find&#39;vc.21" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="28"/></proof>
  </goal>
  <goal name="find&#39;vc.22" expl="loop variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="25"/></proof>
  </goal>
  <goal name="find&#39;vc.23" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="89"/></proof>
  </goal>
  <goal name="find&#39;vc.24" expl="loop variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="26"/></proof>
  </goal>
  <goal name="find&#39;vc.25" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.02" steps="69"/></proof>
  </goal>
  <goal name="find&#39;vc.26" expl="loop variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="27"/></proof>
  </goal>
  <goal name="find&#39;vc.27" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="139"/></proof>
  </goal>
  <goal name="find&#39;vc.28" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="38"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
