<?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="2.0.0" timelimit="1" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="sum_extended.mlw"/>
<theory name="Sum_extended" proved="true">
 <goal name="sum_mult&#39;vc" expl="VC for sum_mult" proved="true">
 <proof prover="0"><result status="valid" time="0.02" steps="42"/></proof>
 </goal>
 <goal name="sum_add&#39;vc" expl="VC for sum_add" proved="true">
 <proof prover="0"><result status="valid" time="0.13" steps="147"/></proof>
 </goal>
 <goal name="fubini&#39;vc" expl="VC for fubini" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="fubini&#39;vc.0" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.00" steps="4"/></proof>
  </goal>
  <goal name="fubini&#39;vc.1" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.00" steps="2"/></proof>
  </goal>
  <goal name="fubini&#39;vc.2" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.00" steps="7"/></proof>
  </goal>
  <goal name="fubini&#39;vc.3" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="1.56" steps="734"/></proof>
  </goal>
  <goal name="fubini&#39;vc.4" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.03" steps="79"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="sum_ext&#39;vc" expl="VC for sum_ext" proved="true">
 <proof prover="0"><result status="valid" time="0.01" steps="34"/></proof>
 </goal>
</theory>
</file>
</why3session>
