<?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="1" steplimit="0" memlimit="1000"/>
<prover id="2" name="Eprover" version="1.8-001" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="3" name="CVC4" version="1.6" timelimit="1" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="remove_duplicate_hash.mlw"/>
<theory name="RemoveDuplicate" proved="true">
 <goal name="remove_duplicate&#39;vc" expl="VC for remove_duplicate" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="remove_duplicate&#39;vc.0" expl="loop invariant init" proved="true">
  <proof prover="3"><result status="valid" time="0.040000" steps="12012"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.1" expl="index in array bounds" proved="true">
  <proof prover="3"><result status="valid" time="0.020000" steps="10553"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.2" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.030000" steps="350"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.3" expl="index in array bounds" proved="true">
  <proof prover="3"><result status="valid" time="0.020000" steps="10529"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.4" expl="array creation size" proved="true">
  <proof prover="3"><result status="valid" time="0.040000" steps="11865"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.5" expl="loop invariant init" proved="true">
  <proof prover="3"><result status="valid" time="0.040000" steps="12504"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.6" expl="loop invariant init" proved="true">
  <proof prover="3"><result status="valid" time="0.050000" steps="12583"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.7" expl="loop invariant init" proved="true">
  <proof prover="3"><result status="valid" time="0.040000" steps="12676"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.8" expl="loop invariant init" proved="true">
  <proof prover="3"><result status="valid" time="0.040000" steps="12797"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.9" expl="loop invariant init" proved="true">
  <proof prover="3"><result status="valid" time="0.040000" steps="13267"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.10" expl="index in array bounds" proved="true">
  <proof prover="3"><result status="valid" time="0.040000" steps="11717"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.11" expl="index in array bounds" proved="true">
  <proof prover="3"><result status="valid" time="0.020000" steps="11739"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.12" expl="index in array bounds" proved="true">
  <proof prover="3"><result status="valid" time="0.020000" steps="11830"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.13" expl="index in array bounds" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="124"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.14" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.040000" steps="536"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.15" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.120000" steps="1186"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.16" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.120000" steps="534"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.17" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="156"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.18" expl="loop invariant preservation" proved="true">
  <proof prover="3"><result status="valid" time="0.290000" steps="57870"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.19" expl="loop invariant preservation" proved="true">
  <proof prover="3"><result status="valid" time="0.410000" steps="64705"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.20" expl="loop invariant preservation" proved="true">
  <proof prover="3"><result status="valid" time="0.040000" steps="12690"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.21" expl="loop invariant preservation" proved="true">
  <proof prover="3"><result status="valid" time="0.020000" steps="11804"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.22" expl="loop invariant preservation" proved="true">
  <proof prover="3"><result status="valid" time="0.020000" steps="11819"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.23" expl="loop invariant preservation" proved="true">
  <proof prover="3"><result status="valid" time="0.020000" steps="11823"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.24" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.900000"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.25" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="5.160000"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.26" expl="out of loop bounds" proved="true">
  <proof prover="3"><result status="valid" time="0.020000" steps="11176"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.27" expl="out of loop bounds" proved="true">
  <proof prover="3"><result status="valid" time="0.050000" steps="16714"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
