<?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="CVC5" version="1.0.5" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="1" name="CVC4" version="1.8" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="4" name="Alt-Ergo" version="2.3.3" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="verifythis_2018_register_allocation.mlw"/>
<theory name="Top" proved="true">
 <goal name="Svar.eq&#39;refn&#39;vc" expl="VC for eq&#39;refn" proved="true">
 <proof prover="4"><result status="valid" time="0.000000" steps="0"/></proof>
 </goal>
 <goal name="Dvar.eq&#39;refn&#39;vc" expl="VC for eq&#39;refn" proved="true">
 <proof prover="4"><result status="valid" time="0.000000" steps="0"/></proof>
 </goal>
 <goal name="rem&#39;vc" expl="VC for rem" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="rem&#39;vc.0" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.010000" steps="31"/></proof>
  </goal>
  <goal name="rem&#39;vc.1" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.010000" steps="88"/></proof>
  </goal>
  <goal name="rem&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.100000" steps="13886"/></proof>
  </goal>
  <goal name="rem&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.010000" steps="40"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="replace&#39;vc" expl="VC for replace" proved="true">
 <proof prover="4"><result status="valid" time="0.030000" steps="142"/></proof>
 </goal>
 <goal name="merge&#39;vc" expl="VC for merge" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="merge&#39;vc.0" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.010000" steps="10"/></proof>
  </goal>
  <goal name="merge&#39;vc.1" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.010000" steps="10"/></proof>
  </goal>
  <goal name="merge&#39;vc.2" expl="assertion" proved="true">
  <proof prover="4"><result status="valid" time="0.020000" steps="110"/></proof>
  </goal>
  <goal name="merge&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.120000" steps="976"/></proof>
  </goal>
  <goal name="merge&#39;vc.4" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.060000" steps="404"/></proof>
  </goal>
  <goal name="merge&#39;vc.5" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.080000" steps="529"/></proof>
  </goal>
  <goal name="merge&#39;vc.6" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.080000" steps="428"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="all_from&#39;vc" expl="VC for all_from" proved="true">
 <proof prover="4"><result status="valid" time="0.160000" steps="1164"/></proof>
 </goal>
 <goal name="available&#39;vc" expl="VC for available" proved="true">
 <proof prover="4"><result status="valid" time="0.580000" steps="2659"/></proof>
 </goal>
 <goal name="init&#39;vc" expl="VC for init" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="init&#39;vc.0" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.010000" steps="2"/></proof>
  </goal>
  <goal name="init&#39;vc.1" expl="variant decrease" proved="true">
  <proof prover="4"><result status="valid" time="0.010000" steps="10"/></proof>
  </goal>
  <goal name="init&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.050000" steps="203"/></proof>
  </goal>
  <goal name="init&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.060000" steps="223"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="sym_merge" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="sym_merge.0" proved="true">
  <proof prover="0"><result status="valid" time="0.039980" steps="10692"/></proof>
  </goal>
  <goal name="sym_merge.1" proved="true">
  <proof prover="0"><result status="valid" time="0.461936" steps="42453"/></proof>
  </goal>
  <goal name="sym_merge.2" proved="true">
  <proof prover="1"><result status="valid" time="0.343746" steps="48756"/></proof>
  </goal>
  <goal name="sym_merge.3" proved="true">
  <proof prover="0"><result status="valid" time="0.339698" steps="43134"/></proof>
  </goal>
  <goal name="sym_merge.4" proved="true">
  <proof prover="4"><result status="valid" time="0.010000" steps="20"/></proof>
  </goal>
  <goal name="sym_merge.5" proved="true">
  <proof prover="4"><result status="valid" time="0.020000" steps="94"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="irc&#39;vc" expl="VC for irc" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="irc&#39;vc.0" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.010000" steps="10"/></proof>
  </goal>
  <goal name="irc&#39;vc.1" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.010000" steps="22"/></proof>
  </goal>
  <goal name="irc&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.010000" steps="18"/></proof>
  </goal>
  <goal name="irc&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.056376" steps="11958"/></proof>
  </goal>
  <goal name="irc&#39;vc.4" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.010000" steps="8"/></proof>
  </goal>
  <goal name="irc&#39;vc.5" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.010000" steps="10"/></proof>
  </goal>
  <goal name="irc&#39;vc.6" expl="variant decrease" proved="true">
  <proof prover="4"><result status="valid" time="0.010000" steps="36"/></proof>
  </goal>
  <goal name="irc&#39;vc.7" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.010000" steps="18"/></proof>
  </goal>
  <goal name="irc&#39;vc.8" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.030000" steps="112"/></proof>
  </goal>
  <goal name="irc&#39;vc.9" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.070000" steps="330"/></proof>
  </goal>
  <goal name="irc&#39;vc.10" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.050000" steps="188"/></proof>
  </goal>
  <goal name="irc&#39;vc.11" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.080000" steps="237"/></proof>
  </goal>
  <goal name="irc&#39;vc.12" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.030000" steps="107"/></proof>
  </goal>
  <goal name="irc&#39;vc.13" expl="postcondition" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="irc&#39;vc.13.0" expl="postcondition" proved="true">
   <transf name="case" proved="true" arg1="(u = x1 \/ v = x1)">
    <goal name="irc&#39;vc.13.0.0" expl="true case (postcondition)" proved="true">
    <proof prover="4"><result status="valid" time="0.058565" steps="422"/></proof>
    </goal>
    <goal name="irc&#39;vc.13.0.1" expl="false case (postcondition)" proved="true">
    <proof prover="0"><result status="valid" time="0.520760" steps="58507"/></proof>
    </goal>
   </transf>
   </goal>
   <goal name="irc&#39;vc.13.1" expl="VC for irc" proved="true">
   <proof prover="4"><result status="valid" time="0.020000" steps="70"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="irc&#39;vc.14" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.030000" steps="135"/></proof>
  </goal>
  <goal name="irc&#39;vc.15" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.040000" steps="180"/></proof>
  </goal>
  <goal name="irc&#39;vc.16" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.020000" steps="98"/></proof>
  </goal>
  <goal name="irc&#39;vc.17" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.941472" steps="107405"/></proof>
  </goal>
  <goal name="irc&#39;vc.18" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.010000" steps="14"/></proof>
  </goal>
  <goal name="irc&#39;vc.19" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.010000" steps="14"/></proof>
  </goal>
  <goal name="irc&#39;vc.20" expl="variant decrease" proved="true">
  <proof prover="4"><result status="valid" time="0.020000" steps="89"/></proof>
  </goal>
  <goal name="irc&#39;vc.21" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.020000" steps="24"/></proof>
  </goal>
  <goal name="irc&#39;vc.22" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.271961" steps="35816"/></proof>
  </goal>
  <goal name="irc&#39;vc.23" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.020000" steps="24"/></proof>
  </goal>
  <goal name="irc&#39;vc.24" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.020000" steps="24"/></proof>
  </goal>
  <goal name="irc&#39;vc.25" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.040000" steps="383"/></proof>
  </goal>
  <goal name="irc&#39;vc.26" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.040000" steps="464"/></proof>
  </goal>
  <goal name="irc&#39;vc.27" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.020000" steps="192"/></proof>
  </goal>
  <goal name="irc&#39;vc.28" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="2.987636" steps="267465"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
