<?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="CVC4" version="1.4" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="1" name="Alt-Ergo" version="2.3.3" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="binary_sort.mlw"/>
<theory name="BinarySort" proved="true">
 <goal name="occ_shift&#39;vc" expl="VC for occ_shift" proved="true">
 <proof prover="0"><result status="valid" time="0.540000"/></proof>
 </goal>
 <goal name="binary_sort&#39;vc" expl="VC for binary_sort" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="binary_sort&#39;vc.0" expl="loop invariant init" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="8"/></proof>
  </goal>
  <goal name="binary_sort&#39;vc.1" expl="loop invariant init" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="15"/></proof>
  </goal>
  <goal name="binary_sort&#39;vc.2" expl="index in array bounds" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="10"/></proof>
  </goal>
  <goal name="binary_sort&#39;vc.3" expl="loop invariant init" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="10"/></proof>
  </goal>
  <goal name="binary_sort&#39;vc.4" expl="loop invariant init" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="15"/></proof>
  </goal>
  <goal name="binary_sort&#39;vc.5" expl="loop invariant init" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="15"/></proof>
  </goal>
  <goal name="binary_sort&#39;vc.6" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="18"/></proof>
  </goal>
  <goal name="binary_sort&#39;vc.7" expl="index in array bounds" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="31"/></proof>
  </goal>
  <goal name="binary_sort&#39;vc.8" expl="loop variant decrease" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="24"/></proof>
  </goal>
  <goal name="binary_sort&#39;vc.9" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="41"/></proof>
  </goal>
  <goal name="binary_sort&#39;vc.10" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="32"/></proof>
  </goal>
  <goal name="binary_sort&#39;vc.11" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="32"/></proof>
  </goal>
  <goal name="binary_sort&#39;vc.12" expl="loop variant decrease" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="24"/></proof>
  </goal>
  <goal name="binary_sort&#39;vc.13" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="41"/></proof>
  </goal>
  <goal name="binary_sort&#39;vc.14" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="67"/></proof>
  </goal>
  <goal name="binary_sort&#39;vc.15" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="32"/></proof>
  </goal>
  <goal name="binary_sort&#39;vc.16" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="18"/></proof>
  </goal>
  <goal name="binary_sort&#39;vc.17" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="20"/></proof>
  </goal>
  <goal name="binary_sort&#39;vc.18" expl="index in array bounds" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="20"/></proof>
  </goal>
  <goal name="binary_sort&#39;vc.19" expl="assertion" proved="true">
  <transf name="inline_goal" proved="true" >
   <goal name="binary_sort&#39;vc.19.0" expl="assertion" proved="true">
   <transf name="split_vc" proved="true" >
    <goal name="binary_sort&#39;vc.19.0.0" expl="assertion" proved="true">
    <proof prover="1"><result status="valid" time="0.020000" steps="87"/></proof>
    </goal>
    <goal name="binary_sort&#39;vc.19.0.1" expl="assertion" proved="true">
    <proof prover="1"><result status="valid" time="0.641315" steps="791"/></proof>
    </goal>
    <goal name="binary_sort&#39;vc.19.0.2" expl="assertion" proved="true">
    <proof prover="1"><result status="valid" time="0.020000" steps="137"/></proof>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="binary_sort&#39;vc.20" expl="assertion" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="30"/></proof>
  </goal>
  <goal name="binary_sort&#39;vc.21" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.450255" steps="1369"/></proof>
  </goal>
  <goal name="binary_sort&#39;vc.22" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.030000" steps="32"/></proof>
  </goal>
  <goal name="binary_sort&#39;vc.23" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="14"/></proof>
  </goal>
  <goal name="binary_sort&#39;vc.24" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="6"/></proof>
  </goal>
  <goal name="binary_sort&#39;vc.25" expl="out of loop bounds" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="18"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
