<?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="1" name="Alt-Ergo" version="2.1.0" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="3" name="CVC4" version="1.5" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="finite_tarski.mlw"/>
<theory name="Tarski_rec" proved="true">
 <goal name="least_fix_point&#39;vc" expl="VC for least_fix_point" proved="true">
 <proof prover="1"><result status="valid" time="0.100000" steps="843"/></proof>
 </goal>
</theory>
<theory name="Tarski_while" proved="true">
 <goal name="least_fix_point&#39;vc" expl="VC for least_fix_point" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="least_fix_point&#39;vc.0" expl="loop invariant init" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="4"/></proof>
  </goal>
  <goal name="least_fix_point&#39;vc.1" expl="loop invariant init" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="8"/></proof>
  </goal>
  <goal name="least_fix_point&#39;vc.2" expl="loop invariant init" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="8"/></proof>
  </goal>
  <goal name="least_fix_point&#39;vc.3" expl="loop invariant init" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="6"/></proof>
  </goal>
  <goal name="least_fix_point&#39;vc.4" expl="loop variant decrease" proved="true">
  <proof prover="1"><result status="valid" time="0.040000" steps="125"/></proof>
  </goal>
  <goal name="least_fix_point&#39;vc.5" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="28"/></proof>
  </goal>
  <goal name="least_fix_point&#39;vc.6" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="132"/></proof>
  </goal>
  <goal name="least_fix_point&#39;vc.7" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="61"/></proof>
  </goal>
  <goal name="least_fix_point&#39;vc.8" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="20"/></proof>
  </goal>
  <goal name="least_fix_point&#39;vc.9" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.040000" steps="12687"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
