<?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="Z3" version="4.6.0" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="2" name="Spass" version="3.7" timelimit="6" steplimit="0" memlimit="1000"/>
<prover id="4" name="Vampire" version="0.6" timelimit="6" steplimit="0" memlimit="1000"/>
<prover id="5" name="Eprover" version="2.0" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="6" name="Alt-Ergo" version="2.0.0" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="9" name="CVC4" version="1.5" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="verifythis_2015_parallel_gcd.mlw"/>
<theory name="ParallelGCD" proved="true">
 <goal name="gcd_sub" proved="true">
 <proof prover="2"><result status="valid" time="0.05"/></proof>
 <proof prover="4"><result status="valid" time="0.02"/></proof>
 </goal>
 <goal name="parallel_gcd&#39;vc" expl="VC for parallel_gcd" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="parallel_gcd&#39;vc.0" expl="loop invariant init" proved="true">
  <proof prover="6"><result status="valid" time="0.00" steps="3"/></proof>
  </goal>
  <goal name="parallel_gcd&#39;vc.1" expl="loop invariant init" proved="true">
  <proof prover="6"><result status="valid" time="0.00" steps="1"/></proof>
  </goal>
  <goal name="parallel_gcd&#39;vc.2" expl="loop invariant preservation" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="12"/></proof>
  </goal>
  <goal name="parallel_gcd&#39;vc.3" expl="loop invariant preservation" proved="true">
  <proof prover="6"><result status="valid" time="0.02" steps="23"/></proof>
  </goal>
  <goal name="parallel_gcd&#39;vc.4" expl="loop invariant preservation" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="11"/></proof>
  </goal>
  <goal name="parallel_gcd&#39;vc.5" expl="loop invariant preservation" proved="true">
  <proof prover="6"><result status="valid" time="0.00" steps="11"/></proof>
  </goal>
  <goal name="parallel_gcd&#39;vc.6" expl="loop invariant preservation" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="12"/></proof>
  </goal>
  <goal name="parallel_gcd&#39;vc.7" expl="loop invariant preservation" proved="true">
  <proof prover="6"><result status="valid" time="0.02" steps="23"/></proof>
  </goal>
  <goal name="parallel_gcd&#39;vc.8" expl="loop invariant preservation" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="11"/></proof>
  </goal>
  <goal name="parallel_gcd&#39;vc.9" expl="loop invariant preservation" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="11"/></proof>
  </goal>
  <goal name="parallel_gcd&#39;vc.10" expl="postcondition" proved="true">
  <proof prover="6"><result status="valid" time="0.26" steps="100"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
<theory name="Interleaving" proved="true">
 <goal name="gcd_sub" proved="true">
 <proof prover="5"><result status="valid" time="0.04"/></proof>
 </goal>
 <goal name="step&#39;vc" expl="VC for step" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="step&#39;vc.0" expl="postcondition" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="16"/></proof>
  </goal>
  <goal name="step&#39;vc.1" expl="postcondition" proved="true">
  <proof prover="6"><result status="valid" time="0.00" steps="11"/></proof>
  </goal>
  <goal name="step&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="6"><result status="valid" time="0.00" steps="12"/></proof>
  </goal>
  <goal name="step&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="1" timelimit="1"><result status="valid" time="0.03" steps="63653"/></proof>
  </goal>
  <goal name="step&#39;vc.4" expl="postcondition" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="18"/></proof>
  </goal>
  <goal name="step&#39;vc.5" expl="postcondition" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="11"/></proof>
  </goal>
  <goal name="step&#39;vc.6" expl="postcondition" proved="true">
  <proof prover="6"><result status="valid" time="0.00" steps="12"/></proof>
  </goal>
  <goal name="step&#39;vc.7" expl="postcondition" proved="true">
  <proof prover="6"><result status="valid" time="0.24" steps="104"/></proof>
  </goal>
  <goal name="step&#39;vc.8" expl="postcondition" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="22"/></proof>
  </goal>
  <goal name="step&#39;vc.9" expl="postcondition" proved="true">
  <proof prover="6"><result status="valid" time="0.00" steps="9"/></proof>
  </goal>
  <goal name="step&#39;vc.10" expl="postcondition" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="10"/></proof>
  </goal>
  <goal name="step&#39;vc.11" expl="postcondition" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="19"/></proof>
  </goal>
  <goal name="step&#39;vc.12" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.03" steps="63174"/></proof>
  </goal>
  <goal name="step&#39;vc.13" expl="postcondition" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="16"/></proof>
  </goal>
  <goal name="step&#39;vc.14" expl="postcondition" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="18"/></proof>
  </goal>
  <goal name="step&#39;vc.15" expl="postcondition" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="19"/></proof>
  </goal>
  <goal name="step&#39;vc.16" expl="postcondition" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="19"/></proof>
  </goal>
  <goal name="step&#39;vc.17" expl="postcondition" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="10"/></proof>
  </goal>
  <goal name="step&#39;vc.18" expl="postcondition" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="11"/></proof>
  </goal>
  <goal name="step&#39;vc.19" expl="postcondition" proved="true">
  <proof prover="9" timelimit="1"><result status="valid" time="0.04" steps="11307"/></proof>
  </goal>
  <goal name="step&#39;vc.20" expl="postcondition" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="3"/></proof>
  </goal>
  <goal name="step&#39;vc.21" expl="postcondition" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="4"/></proof>
  </goal>
  <goal name="step&#39;vc.22" expl="postcondition" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="5"/></proof>
  </goal>
  <goal name="step&#39;vc.23" expl="postcondition" proved="true">
  <proof prover="6"><result status="valid" time="0.00" steps="12"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="can_progress&#39;vc" expl="VC for can_progress" proved="true">
 <proof prover="6"><result status="valid" time="0.01" steps="5"/></proof>
 </goal>
 <goal name="parallel_gcd&#39;vc" expl="VC for parallel_gcd" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="parallel_gcd&#39;vc.0" expl="loop invariant init" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="14"/></proof>
  </goal>
  <goal name="parallel_gcd&#39;vc.1" expl="precondition" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="10"/></proof>
  </goal>
  <goal name="parallel_gcd&#39;vc.2" expl="loop variant decrease" proved="true">
  <transf name="inline_all" proved="true" >
   <goal name="parallel_gcd&#39;vc.2.0" expl="loop variant decrease" proved="true">
   <proof prover="9"><result status="valid" time="0.10" steps="22693"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="parallel_gcd&#39;vc.3" expl="loop invariant preservation" proved="true">
  <proof prover="6"><result status="valid" time="0.02" steps="33"/></proof>
  </goal>
  <goal name="parallel_gcd&#39;vc.4" expl="precondition" proved="true">
  <proof prover="6"><result status="valid" time="0.00" steps="10"/></proof>
  </goal>
  <goal name="parallel_gcd&#39;vc.5" expl="loop variant decrease" proved="true">
  <transf name="inline_all" proved="true" >
   <goal name="parallel_gcd&#39;vc.5.0" expl="loop variant decrease" proved="true">
   <proof prover="9"><result status="valid" time="0.20" steps="22494"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="parallel_gcd&#39;vc.6" expl="loop invariant preservation" proved="true">
  <proof prover="6"><result status="valid" time="0.02" steps="33"/></proof>
  </goal>
  <goal name="parallel_gcd&#39;vc.7" expl="postcondition" proved="true">
  <proof prover="6"><result status="valid" time="0.56" steps="200"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
