<?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="2" name="CVC4" version="1.6" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="6" name="Alt-Ergo" version="2.3.0" timelimit="1" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="queue_two_lists.mlw"/>
<theory name="Queue" proved="true">
 <goal name="t&#39;vc" expl="VC for t" proved="true">
 <proof prover="2"><result status="valid" time="0.06" steps="17958"/></proof>
 </goal>
 <goal name="create&#39;vc" expl="VC for create" proved="true">
 <proof prover="2"><result status="valid" time="0.04" steps="18486"/></proof>
 </goal>
 <goal name="push&#39;vc" expl="VC for push" proved="true">
 <proof prover="6"><result status="valid" time="0.18" steps="798"/></proof>
 </goal>
 <goal name="nth_append&#39;vc" expl="VC for nth_append" proved="true">
 <proof prover="6"><result status="valid" time="0.04" steps="300"/></proof>
 </goal>
 <goal name="nth_rev&#39;vc" expl="VC for nth_rev" proved="true">
 <proof prover="6"><result status="valid" time="0.02" steps="207"/></proof>
 </goal>
 <goal name="pop&#39;vc" expl="VC for pop" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="pop&#39;vc.0" expl="exceptional postcondition" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="36"/></proof>
  </goal>
  <goal name="pop&#39;vc.1" expl="precondition" proved="true">
  <proof prover="6" timelimit="10"><result status="valid" time="0.01" steps="37"/></proof>
  </goal>
  <goal name="pop&#39;vc.2" expl="type invariant" proved="true">
  <proof prover="6" timelimit="10"><result status="valid" time="0.01" steps="50"/></proof>
  </goal>
  <goal name="pop&#39;vc.3" expl="type invariant" proved="true">
  <proof prover="6" timelimit="10"><result status="valid" time="0.01" steps="18"/></proof>
  </goal>
  <goal name="pop&#39;vc.4" expl="type invariant" proved="true">
  <proof prover="6" timelimit="10"><result status="valid" time="0.07" steps="206"/></proof>
  </goal>
  <goal name="pop&#39;vc.5" expl="postcondition" proved="true">
  <proof prover="6" timelimit="10"><result status="valid" time="0.01" steps="49"/></proof>
  </goal>
  <goal name="pop&#39;vc.6" expl="postcondition" proved="true">
  <proof prover="6" timelimit="10"><result status="valid" time="0.01" steps="80"/></proof>
  </goal>
  <goal name="pop&#39;vc.7" expl="postcondition" proved="true">
  <proof prover="6" timelimit="10"><result status="valid" time="0.01" steps="20"/></proof>
  </goal>
  <goal name="pop&#39;vc.8" expl="precondition" proved="true">
  <proof prover="6" timelimit="10"><result status="valid" time="0.01" steps="41"/></proof>
  </goal>
  <goal name="pop&#39;vc.9" expl="type invariant" proved="true">
  <proof prover="6" timelimit="10"><result status="valid" time="0.01" steps="51"/></proof>
  </goal>
  <goal name="pop&#39;vc.10" expl="type invariant" proved="true">
  <proof prover="6" timelimit="10"><result status="valid" time="0.01" steps="56"/></proof>
  </goal>
  <goal name="pop&#39;vc.11" expl="type invariant" proved="true">
  <proof prover="6" timelimit="10"><result status="valid" time="1.54" steps="4155"/></proof>
  </goal>
  <goal name="pop&#39;vc.12" expl="postcondition" proved="true">
  <proof prover="6" timelimit="10"><result status="valid" time="0.01" steps="48"/></proof>
  </goal>
  <goal name="pop&#39;vc.13" expl="postcondition" proved="true">
  <proof prover="6" timelimit="10"><result status="valid" time="0.01" steps="85"/></proof>
  </goal>
  <goal name="pop&#39;vc.14" expl="postcondition" proved="true">
  <proof prover="6" timelimit="10"><result status="valid" time="0.00" steps="20"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="peek&#39;vc" expl="VC for peek" proved="true">
 <proof prover="6"><result status="valid" time="0.02" steps="128"/></proof>
 </goal>
 <goal name="safe_pop&#39;vc" expl="VC for safe_pop" proved="true">
 <proof prover="6"><result status="valid" time="0.01" steps="18"/></proof>
 </goal>
 <goal name="safe_peek&#39;vc" expl="VC for safe_peek" proved="true">
 <proof prover="6"><result status="valid" time="0.01" steps="14"/></proof>
 </goal>
 <goal name="clear&#39;vc" expl="VC for clear" proved="true">
 <proof prover="6"><result status="valid" time="0.01" steps="68"/></proof>
 </goal>
 <goal name="copy&#39;vc" expl="VC for copy" proved="true">
 <proof prover="6"><result status="valid" time="0.02" steps="92"/></proof>
 </goal>
 <goal name="is_empty&#39;vc" expl="VC for is_empty" proved="true">
 <proof prover="6"><result status="valid" time="0.02" steps="123"/></proof>
 </goal>
 <goal name="length&#39;vc" expl="VC for length" proved="true">
 <proof prover="6"><result status="valid" time="0.02" steps="137"/></proof>
 </goal>
 <goal name="transfer&#39;vc" expl="VC for transfer" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="transfer&#39;vc.0" expl="type invariant" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="28"/></proof>
  </goal>
  <goal name="transfer&#39;vc.1" expl="type invariant" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="32"/></proof>
  </goal>
  <goal name="transfer&#39;vc.2" expl="type invariant" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="65"/></proof>
  </goal>
  <goal name="transfer&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="32"/></proof>
  </goal>
  <goal name="transfer&#39;vc.4" expl="postcondition" proved="true">
  <proof prover="6"><result status="valid" time="0.02" steps="119"/></proof>
  </goal>
  <goal name="transfer&#39;vc.5" expl="type invariant" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="30"/></proof>
  </goal>
  <goal name="transfer&#39;vc.6" expl="type invariant" proved="true">
  <proof prover="6"><result status="valid" time="0.02" steps="91"/></proof>
  </goal>
  <goal name="transfer&#39;vc.7" expl="type invariant" proved="true">
  <proof prover="6"><result status="valid" time="0.42" steps="844"/></proof>
  </goal>
  <goal name="transfer&#39;vc.8" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.06" steps="19037"/></proof>
  </goal>
  <goal name="transfer&#39;vc.9" expl="postcondition" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="34"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
<theory name="Correct" proved="true">
 <goal name="Queue.create&#39;refn&#39;vc" expl="VC for create&#39;refn" proved="true">
 <proof prover="2"><result status="valid" time="0.03" steps="11687"/></proof>
 </goal>
 <goal name="Queue.push&#39;refn&#39;vc" expl="VC for push&#39;refn" proved="true">
 <proof prover="2"><result status="valid" time="0.06" steps="10668"/></proof>
 </goal>
 <goal name="Queue.pop&#39;refn&#39;vc" expl="VC for pop&#39;refn" proved="true">
 <proof prover="6"><result status="valid" time="0.01" steps="4"/></proof>
 </goal>
 <goal name="Queue.peek&#39;refn&#39;vc" expl="VC for peek&#39;refn" proved="true">
 <proof prover="2"><result status="valid" time="0.05" steps="12598"/></proof>
 </goal>
 <goal name="Queue.safe_pop&#39;refn&#39;vc" expl="VC for safe_pop&#39;refn" proved="true">
 <proof prover="2"><result status="valid" time="0.04" steps="15362"/></proof>
 </goal>
 <goal name="Queue.safe_peek&#39;refn&#39;vc" expl="VC for safe_peek&#39;refn" proved="true">
 <proof prover="2"><result status="valid" time="0.05" steps="14818"/></proof>
 </goal>
 <goal name="Queue.clear&#39;refn&#39;vc" expl="VC for clear&#39;refn" proved="true">
 <proof prover="2"><result status="valid" time="0.05" steps="10668"/></proof>
 </goal>
 <goal name="Queue.copy&#39;refn&#39;vc" expl="VC for copy&#39;refn" proved="true">
 <proof prover="2"><result status="valid" time="0.02" steps="11831"/></proof>
 </goal>
 <goal name="Queue.is_empty&#39;refn&#39;vc" expl="VC for is_empty&#39;refn" proved="true">
 <proof prover="2"><result status="valid" time="0.05" steps="13662"/></proof>
 </goal>
 <goal name="Queue.length&#39;refn&#39;vc" expl="VC for length&#39;refn" proved="true">
 <proof prover="2"><result status="valid" time="0.04" steps="10668"/></proof>
 </goal>
 <goal name="Queue.transfer&#39;refn&#39;vc" expl="VC for transfer&#39;refn" proved="true">
 <proof prover="2"><result status="valid" time="0.04" steps="10668"/></proof>
 </goal>
</theory>
</file>
</why3session>
