<?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="4.4.1" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="1" name="CVC4" version="1.4" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="2" name="Alt-Ergo" version="2.0.0" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="inverse_in_place.mlw"/>
<theory name="InverseInPlace" proved="true">
 <goal name="is_permutation_inverse" proved="true">
 <proof prover="2"><result status="valid" time="0.00" steps="28"/></proof>
 </goal>
 <goal name="inverse_in_place&#39;vc" expl="VC for inverse_in_place" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="inverse_in_place&#39;vc.0" expl="loop invariant init" proved="true">
  <proof prover="2"><result status="valid" time="0.01" steps="34"/></proof>
  </goal>
  <goal name="inverse_in_place&#39;vc.1" expl="index in array bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.00" steps="7"/></proof>
  </goal>
  <goal name="inverse_in_place&#39;vc.2" expl="index in array bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.00" steps="8"/></proof>
  </goal>
  <goal name="inverse_in_place&#39;vc.3" expl="index in array bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.01" steps="19"/></proof>
  </goal>
  <goal name="inverse_in_place&#39;vc.4" expl="loop invariant init" proved="true">
  <proof prover="2"><result status="valid" time="0.04" steps="70"/></proof>
  </goal>
  <goal name="inverse_in_place&#39;vc.5" expl="loop invariant init" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="125"/></proof>
  </goal>
  <goal name="inverse_in_place&#39;vc.6" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.07"/></proof>
  </goal>
  <goal name="inverse_in_place&#39;vc.7" expl="index in array bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.01" steps="24"/></proof>
  </goal>
  <goal name="inverse_in_place&#39;vc.8" expl="index in array bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.00" steps="29"/></proof>
  </goal>
  <goal name="inverse_in_place&#39;vc.9" expl="loop variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="1.01"/></proof>
  </goal>
  <goal name="inverse_in_place&#39;vc.10" expl="loop invariant preservation" proved="true">
  <proof prover="2"><result status="valid" time="0.42" steps="611"/></proof>
  </goal>
  <goal name="inverse_in_place&#39;vc.11" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.04"/></proof>
  </goal>
  <goal name="inverse_in_place&#39;vc.12" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.08"/></proof>
  </goal>
  <goal name="inverse_in_place&#39;vc.13" expl="assertion" proved="true">
  <proof prover="1"><result status="valid" time="0.10"/></proof>
  </goal>
  <goal name="inverse_in_place&#39;vc.14" expl="assertion" proved="true">
  <proof prover="2"><result status="valid" time="0.01" steps="26"/></proof>
  </goal>
  <goal name="inverse_in_place&#39;vc.15" expl="index in array bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.01" steps="27"/></proof>
  </goal>
  <goal name="inverse_in_place&#39;vc.16" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.19"/></proof>
  </goal>
  <goal name="inverse_in_place&#39;vc.17" expl="assertion" proved="true">
  <proof prover="2"><result status="valid" time="0.00" steps="15"/></proof>
  </goal>
  <goal name="inverse_in_place&#39;vc.18" expl="index in array bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.00" steps="9"/></proof>
  </goal>
  <goal name="inverse_in_place&#39;vc.19" expl="loop invariant preservation" proved="true">
  <proof prover="2"><result status="valid" time="0.74" steps="934"/></proof>
  </goal>
  <goal name="inverse_in_place&#39;vc.20" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.02" steps="92"/></proof>
  </goal>
  <goal name="inverse_in_place&#39;vc.21" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.00" steps="13"/></proof>
  </goal>
  <goal name="inverse_in_place&#39;vc.22" expl="out of loop bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.01" steps="3"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
<theory name="Harness" proved="true">
 <goal name="test1&#39;vc" expl="VC for test1" proved="true">
 <proof prover="2"><result status="valid" time="0.02" steps="59"/></proof>
 </goal>
 <goal name="test2&#39;vc" expl="VC for test2" proved="true">
 <proof prover="2"><result status="valid" time="0.02" steps="59"/></proof>
 </goal>
</theory>
</file>
</why3session>
