<?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="Coq" version="8.11.2" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="2" name="Alt-Ergo" version="2.1.0" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="4" name="CVC4" version="1.5" timelimit="1" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="there_and_back_again.mlw"/>
<theory name="Convolution" proved="true">
 <goal name="convolution_rec&#39;vc" expl="VC for convolution_rec" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="convolution_rec&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="39"/></proof>
  </goal>
  <goal name="convolution_rec&#39;vc.1" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.000000" steps="6"/></proof>
  </goal>
  <goal name="convolution_rec&#39;vc.2" expl="unreachable point" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="14"/></proof>
  </goal>
  <goal name="convolution_rec&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.060000" steps="24189"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="convolution&#39;vc" expl="VC for convolution" proved="true">
 <proof prover="2"><result status="valid" time="0.010000" steps="54"/></proof>
 </goal>
</theory>
<theory name="Palindrome" proved="true">
 <goal name="palindrome_rec&#39;vc" expl="VC for palindrome_rec" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="palindrome_rec&#39;vc.0" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.000000" steps="18"/></proof>
  </goal>
  <goal name="palindrome_rec&#39;vc.1" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="30"/></proof>
  </goal>
  <goal name="palindrome_rec&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="91"/></proof>
  </goal>
  <goal name="palindrome_rec&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.000000" steps="46"/></proof>
  </goal>
  <goal name="palindrome_rec&#39;vc.4" expl="unreachable point" proved="true">
  <proof prover="2"><result status="valid" time="0.000000" steps="8"/></proof>
  </goal>
  <goal name="palindrome_rec&#39;vc.5" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.000000" steps="61"/></proof>
  </goal>
  <goal name="palindrome_rec&#39;vc.6" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.000000" steps="10"/></proof>
  </goal>
  <goal name="palindrome_rec&#39;vc.7" expl="assertion" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="142"/></proof>
  </goal>
  <goal name="palindrome_rec&#39;vc.8" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="1.190000" steps="1168"/></proof>
  </goal>
  <goal name="palindrome_rec&#39;vc.9" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="263"/></proof>
  </goal>
  <goal name="palindrome_rec&#39;vc.10" expl="exceptional postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="161"/></proof>
  </goal>
  <goal name="palindrome_rec&#39;vc.11" expl="unreachable point" proved="true">
  <proof prover="2"><result status="valid" time="0.000000" steps="18"/></proof>
  </goal>
  <goal name="palindrome_rec&#39;vc.12" expl="exceptional postcondition" proved="true">
  <proof prover="1"><path name="there_and_back_again_Palindrome_VC_palindrome_rec_1.v"/><result status="valid" time="0.440000"/></proof>
  </goal>
  <goal name="palindrome_rec&#39;vc.13" expl="unreachable point" proved="true">
  <proof prover="2"><result status="valid" time="0.000000" steps="34"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="palindrome&#39;vc" expl="VC for palindrome" proved="true">
 <proof prover="2"><result status="valid" time="0.000000" steps="21"/></proof>
 </goal>
</theory>
</file>
</why3session>
