<?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="2.2.0" timelimit="10" steplimit="0" memlimit="4000"/>
<prover id="2" name="CVC4" version="1.6" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="3" name="Alt-Ergo" version="2.1.0" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="coincidence_count_list.mlw"/>
<theory name="CoincidenceCount" proved="true">
 <goal name="Transitive.Trans" proved="true">
 <proof prover="3"><result status="valid" time="0.000000" steps="4"/></proof>
 </goal>
 <goal name="coincidence_count&#39;vc" expl="VC for coincidence_count" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="coincidence_count&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.050000" steps="12114"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.1" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.040000" steps="11161"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.2" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.050000" steps="11269"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.3" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.050000" steps="12102"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.4" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.040000" steps="11267"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.5" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="9622"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.6" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.040000" steps="12078"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.7" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="9618"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.8" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.040000" steps="11274"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.9" expl="postcondition" proved="true">
  <transf name="split_all_full" proved="true" >
   <goal name="coincidence_count&#39;vc.9.0" expl="postcondition" proved="true">
   <transf name="split_all_full" proved="true" >
    <goal name="coincidence_count&#39;vc.9.0.0" expl="postcondition" proved="true">
    <proof prover="1"><result status="valid" time="2.130000" steps="17581"/></proof>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
 </transf>
 </goal>
</theory>
<theory name="CoincidenceCountAnyType" proved="true">
 <goal name="SetApp.eq&#39;refn&#39;vc" expl="VC for eq&#39;refn" proved="true">
 <proof prover="2"><result status="valid" time="0.020000" steps="6147"/></proof>
 </goal>
 <goal name="Transitive.Trans" proved="true">
 <proof prover="3"><result status="valid" time="0.000000" steps="6"/></proof>
 </goal>
 <goal name="coincidence_count&#39;vc" expl="VC for coincidence_count" proved="true">
 <proof prover="3"><result status="valid" time="1.570000" steps="14703"/></proof>
 </goal>
</theory>
<theory name="CoincidenceCountList" proved="true">
 <goal name="Transitive.Trans" proved="true">
 <proof prover="3"><result status="valid" time="0.000000" steps="4"/></proof>
 </goal>
 <goal name="coincidence_count&#39;vc" expl="VC for coincidence_count" proved="true">
 <proof prover="3"><result status="valid" time="0.290000" steps="3143"/></proof>
 </goal>
</theory>
</file>
</why3session>
