<?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="1" name="Z3" version="4.6.0" timelimit="15" steplimit="0" memlimit="1000"/>
<prover id="2" name="Alt-Ergo" version="2.0.0" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="dfs.mlw"/>
<theory name="DFS" proved="true">
 <goal name="set&#39;vc" expl="VC for set" proved="true">
 <proof prover="2"><result status="valid" time="0.00" steps="13"/></proof>
 </goal>
 <goal name="dfs&#39;vc" expl="VC for dfs" proved="true">
 <proof prover="2"><result status="valid" time="0.12" steps="585"/></proof>
 </goal>
 <goal name="reformulation" proved="true">
 <transf name="induction_pr" proved="true" >
  <goal name="reformulation.0" proved="true">
  <transf name="simplify_trivial_quantification" proved="true" >
   <goal name="reformulation.0.0" proved="true">
   <proof prover="2" timelimit="6"><result status="valid" time="0.00" steps="4"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="reformulation.1" proved="true">
  <transf name="simplify_trivial_quantification" proved="true" >
   <goal name="reformulation.1.0" proved="true">
   <proof prover="1"><result status="valid" time="0.00" steps="6509"/></proof>
   <proof prover="2"><result status="valid" time="0.00" steps="16"/></proof>
   </goal>
  </transf>
  </goal>
 </transf>
 </goal>
 <goal name="traverse&#39;vc" expl="VC for traverse" proved="true">
 <proof prover="2"><result status="valid" time="0.01" steps="50"/></proof>
 </goal>
</theory>
</file>
</why3session>
