<?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="3" name="Alt-Ergo" version="2.4.2" timelimit="1" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="587.mlw"/>
<theory name="Top" proved="true">
 <goal name="f&#39;vc" expl="VC for f" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="f&#39;vc.0" expl="loop invariant init" proved="true">
  <proof prover="3"><result status="valid" time="0.000000" steps="1"/></proof>
  </goal>
  <goal name="f&#39;vc.1" expl="my_variant_decreases" proved="true">
  <proof prover="3"><result status="valid" time="0.000000" steps="12"/></proof>
  </goal>
  <goal name="f&#39;vc.2" expl="loop invariant preservation" proved="true">
  <proof prover="3"><result status="valid" time="0.000000" steps="13"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="g&#39;vc" expl="VC for g" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="g&#39;vc.0" expl="loop invariant init" proved="true">
  <proof prover="3"><result status="valid" time="0.000000" steps="1"/></proof>
  </goal>
  <goal name="g&#39;vc.1" expl="loop invariant init" proved="true">
  <proof prover="3"><result status="valid" time="0.000000" steps="2"/></proof>
  </goal>
  <goal name="g&#39;vc.2" expl="loop variant decrease" proved="true">
  <proof prover="3"><result status="valid" time="0.000000" steps="18"/></proof>
  </goal>
  <goal name="g&#39;vc.3" expl="loop invariant preservation" proved="true">
  <proof prover="3"><result status="valid" time="0.000000" steps="17"/></proof>
  </goal>
  <goal name="g&#39;vc.4" expl="loop invariant preservation" proved="true">
  <proof prover="3"><result status="valid" time="0.000000" steps="18"/></proof>
  </goal>
  <goal name="g&#39;vc.5" expl="loop variant decrease" proved="true">
  <proof prover="3"><result status="valid" time="0.000000" steps="27"/></proof>
  </goal>
  <goal name="g&#39;vc.6" expl="loop invariant preservation" proved="true">
  <proof prover="3"><result status="valid" time="0.000000" steps="26"/></proof>
  </goal>
  <goal name="g&#39;vc.7" expl="loop invariant preservation" proved="true">
  <proof prover="3"><result status="valid" time="0.000000" steps="27"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="h&#39;vc" expl="VC for h" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="h&#39;vc.0" expl="my_var_y_decreases" proved="true">
  <proof prover="3"><result status="valid" time="0.000000" steps="19"/></proof>
  </goal>
  <goal name="h&#39;vc.1" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.000000" steps="19"/></proof>
  </goal>
  <goal name="h&#39;vc.2" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.000000" steps="19"/></proof>
  </goal>
  <goal name="h&#39;vc.3" expl="my_var_x_decreases" proved="true">
  <proof prover="3"><result status="valid" time="0.000000" steps="18"/></proof>
  </goal>
  <goal name="h&#39;vc.4" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.000000" steps="18"/></proof>
  </goal>
  <goal name="h&#39;vc.5" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.000000" steps="18"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
