<?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="2.4.3" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="1" name="CVC4" version="1.7" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="3" name="Eprover" version="2.0" timelimit="30" steplimit="0" memlimit="4000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="coincidence_count.mlw"/>
<theory name="CoincidenceCount" proved="true">
 <goal name="drop_left" proved="true">
 <proof prover="0"><result status="valid" time="0.048537" steps="423"/></proof>
 </goal>
 <goal name="not_mem_inter_r" proved="true">
 <proof prover="0"><result status="valid" time="0.303634" steps="2475"/></proof>
 </goal>
 <goal name="not_mem_inter_l" proved="true">
 <proof prover="0"><result status="valid" time="0.345394" steps="2675"/></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="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.013396" steps="6"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.1" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.007107" steps="9"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.2" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.012376" steps="69"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.3" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.007811" steps="20"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.4" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.011040" steps="20"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.5" expl="loop variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.015577" steps="24"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.6" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.009820" steps="24"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.7" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.016138" steps="26"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.8" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="1.252724" steps="9626"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.9" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.008132" steps="22"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.10" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.008551" steps="22"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.11" expl="loop variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.012507" steps="26"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.12" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.012904" steps="26"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.13" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.013184" steps="26"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.14" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="1.580783" steps="12196"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.15" expl="assertion" proved="true">
  <proof prover="1"><result status="valid" time="1.291632" steps="122711"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.16" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.939102" steps="6862"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.17" expl="loop variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.004599" steps="34"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.18" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.018909" steps="34"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.19" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.011879" steps="36"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.20" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.044396" steps="264"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.21" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.039144" steps="311"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
<theory name="CoincidenceCountBag" proved="true">
 <goal name="bagofsub&#39;vc" expl="VC for bagofsub" proved="true">
 <proof prover="0"><result status="valid" time="0.009367" steps="11"/></proof>
 </goal>
 <goal name="not_mem_inter_r" proved="true">
 <proof prover="0"><result status="valid" time="0.017565" steps="121"/></proof>
 </goal>
 <goal name="not_mem_inter_l" proved="true">
 <proof prover="0"><result status="valid" time="0.022369" steps="135"/></proof>
 </goal>
 <goal name="bagofincreasing&#39;vc" expl="VC for bagofincreasing" proved="true">
 <proof prover="0"><result status="valid" time="0.023741" steps="145"/></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="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.004600" steps="6"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.1" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.006167" steps="9"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.2" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.004794" steps="14"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.3" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.014628" steps="20"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.4" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.004775" steps="20"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.5" expl="loop variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.012466" steps="24"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.6" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.007996" steps="24"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.7" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.012276" steps="26"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.8" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.038749" steps="218"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.9" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.011707" steps="22"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.10" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.007387" steps="22"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.11" expl="loop variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.008429" steps="26"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.12" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.014804" steps="26"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.13" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.015821" steps="26"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.14" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.029505" steps="254"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.15" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="3.116610" steps="34381"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.16" expl="loop variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.009022" steps="32"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.17" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.013086" steps="32"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.18" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.013351" steps="34"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.19" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.012689" steps="65"/></proof>
  </goal>
  <goal name="coincidence_count&#39;vc.20" expl="postcondition" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="coincidence_count&#39;vc.20.0" expl="postcondition" proved="true">
   <proof prover="3"><result status="valid" time="22.264390"/></proof>
   </goal>
   <goal name="coincidence_count&#39;vc.20.1" expl="postcondition" proved="true">
   <proof prover="3"><result status="valid" time="21.250000"/></proof>
   </goal>
  </transf>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
