<?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="Alt-Ergo" version="2.3.0" timelimit="1" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="mutual_recursion.mlw"/>
<theory name="Top" proved="true">
 <goal name="f1&#39;vc" expl="VC for f1" proved="true">
 <proof prover="2"><result status="valid" time="0.00" steps="4"/></proof>
 </goal>
 <goal name="f2&#39;vc" expl="VC for f2" proved="true">
 <proof prover="2"><result status="valid" time="0.01" steps="4"/></proof>
 </goal>
 <goal name="f&#39;vc" expl="VC for f" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="f&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.00" steps="6"/></proof>
  </goal>
  <goal name="f&#39;vc.1" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.00" steps="6"/></proof>
  </goal>
  <goal name="f&#39;vc.2" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.00" steps="6"/></proof>
  </goal>
  <goal name="f&#39;vc.3" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.00" steps="9"/></proof>
  </goal>
  <goal name="f&#39;vc.4" expl="postcondition" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="f&#39;vc.4.0" expl="postcondition" proved="true">
   <proof prover="2"><result status="valid" time="0.00" steps="8"/></proof>
   </goal>
   <goal name="f&#39;vc.4.1" expl="postcondition" proved="true">
   <transf name="split_vc" proved="true" >
    <goal name="f&#39;vc.4.1.0" expl="postcondition" proved="true">
    <proof prover="2"><result status="valid" time="0.00" steps="8"/></proof>
    </goal>
    <goal name="f&#39;vc.4.1.1" expl="postcondition" proved="true">
    <proof prover="2"><result status="valid" time="0.00" steps="20"/></proof>
    </goal>
   </transf>
   </goal>
   <goal name="f&#39;vc.4.2" expl="postcondition" proved="true">
   <proof prover="2"><result status="valid" time="0.00" steps="20"/></proof>
   </goal>
  </transf>
  </goal>
 </transf>
 </goal>
 <goal name="m&#39;vc" expl="VC for m" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="m&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.00" steps="6"/></proof>
  </goal>
  <goal name="m&#39;vc.1" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.00" steps="6"/></proof>
  </goal>
  <goal name="m&#39;vc.2" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.00" steps="9"/></proof>
  </goal>
  <goal name="m&#39;vc.3" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.00" steps="6"/></proof>
  </goal>
  <goal name="m&#39;vc.4" expl="postcondition" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="m&#39;vc.4.0" expl="postcondition" proved="true">
   <transf name="split_vc" proved="true" >
    <goal name="m&#39;vc.4.0.0" expl="postcondition" proved="true">
    <proof prover="2"><result status="valid" time="0.00" steps="8"/></proof>
    </goal>
    <goal name="m&#39;vc.4.0.1" expl="postcondition" proved="true">
    <proof prover="2"><result status="valid" time="0.00" steps="12"/></proof>
    </goal>
   </transf>
   </goal>
   <goal name="m&#39;vc.4.1" expl="postcondition" proved="true">
   <proof prover="2"><result status="valid" time="0.00" steps="20"/></proof>
   </goal>
   <goal name="m&#39;vc.4.2" expl="postcondition" proved="true">
   <proof prover="2"><result status="valid" time="0.00" steps="20"/></proof>
   </goal>
  </transf>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
