<?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="2.1.0" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="1" name="CVC4" version="1.5" timelimit="1" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="gcd_bezout_vc_sp.mlw"/>
<theory name="GcdBezout" proved="true">
 <goal name="gcd&#39;vc" expl="VC for gcd" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="gcd&#39;vc.0" expl="loop invariant init" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="6840"/></proof>
  </goal>
  <goal name="gcd&#39;vc.1" expl="loop invariant init" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="6840"/></proof>
  </goal>
  <goal name="gcd&#39;vc.2" expl="loop invariant init" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="6912"/></proof>
  </goal>
  <goal name="gcd&#39;vc.3" expl="loop invariant init" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="6939"/></proof>
  </goal>
  <goal name="gcd&#39;vc.4" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="7192"/></proof>
  </goal>
  <goal name="gcd&#39;vc.5" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="7192"/></proof>
  </goal>
  <goal name="gcd&#39;vc.6" expl="assertion" proved="true">
  <proof prover="1"><result status="valid" time="0.030000" steps="8935"/></proof>
  </goal>
  <goal name="gcd&#39;vc.7" expl="loop variant decrease" proved="true">
  <proof prover="1"><result status="valid" time="0.040000" steps="12424"/></proof>
  </goal>
  <goal name="gcd&#39;vc.8" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.030000" steps="9382"/></proof>
  </goal>
  <goal name="gcd&#39;vc.9" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.030000" steps="9719"/></proof>
  </goal>
  <goal name="gcd&#39;vc.10" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="7788"/></proof>
  </goal>
  <goal name="gcd&#39;vc.11" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="8289"/></proof>
  </goal>
  <goal name="gcd&#39;vc.12" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.030000" steps="8304"/></proof>
  </goal>
  <goal name="gcd&#39;vc.13" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="18"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
