<?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="2.1.0" timelimit="10" steplimit="0" memlimit="1000"/>
<prover id="2" name="CVC4" version="1.5" timelimit="10" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="remove_duplicate.mlw"/>
<theory name="RemoveDuplicateQuadratic" proved="true">
 <goal name="test_appears&#39;vc" expl="VC for test_appears" proved="true">
 <proof prover="0"><result status="valid" time="0.010000" steps="80"/></proof>
 </goal>
 <goal name="remove_duplicate&#39;vc" expl="VC for remove_duplicate" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="remove_duplicate&#39;vc.0" expl="array creation size" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="2"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.1" expl="array creation size" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="4"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.2" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="6"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.3" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="14"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.4" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="9"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.5" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="9"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.6" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="0"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.7" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="22"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.8" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="22"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.9" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="24"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.10" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="24"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.11" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="30"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.12" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="36"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.13" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="44"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.14" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.060000" steps="194"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.15" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.070000" steps="450"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.16" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.060000" steps="285"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.17" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="112"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.18" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="30"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.19" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="36"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.20" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="37"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.21" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="44"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.22" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.060000" steps="235"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.23" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="43"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.24" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="18"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.25" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="19"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.26" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.030000" steps="8954"/></proof>
  </goal>
  <goal name="remove_duplicate&#39;vc.27" expl="out of loop bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="7"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
