<?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="1.7" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="1" name="Alt-Ergo" version="2.0.0" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="2" name="Z3" version="4.6.0" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="3" name="Eprover" version="2.0" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="residual.mlw"/>
<theory name="Residuals" proved="true">
 <goal name="accepts_epsilon&#39;vc" expl="VC for accepts_epsilon" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="accepts_epsilon&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="52"/></proof>
  </goal>
  <goal name="accepts_epsilon&#39;vc.1" expl="variant decrease" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="63"/></proof>
  </goal>
  <goal name="accepts_epsilon&#39;vc.2" expl="variant decrease" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="52"/></proof>
  </goal>
  <goal name="accepts_epsilon&#39;vc.3" expl="variant decrease" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="63"/></proof>
  </goal>
  <goal name="accepts_epsilon&#39;vc.4" expl="postcondition" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="accepts_epsilon&#39;vc.4.0" expl="VC for accepts_epsilon" proved="true">
   <proof prover="2"><result status="valid" time="0.02" steps="24282"/></proof>
   </goal>
   <goal name="accepts_epsilon&#39;vc.4.1" expl="VC for accepts_epsilon" proved="true">
   <proof prover="1"><result status="valid" time="0.05" steps="461"/></proof>
   </goal>
  </transf>
  </goal>
 </transf>
 </goal>
 <goal name="inversion_mem_star_gen" proved="true">
 <transf name="induction_pr" proved="true" >
  <goal name="inversion_mem_star_gen.0" proved="true">
  <proof prover="1"><result status="valid" time="0.00" steps="8"/></proof>
  </goal>
  <goal name="inversion_mem_star_gen.1" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="8"/></proof>
  </goal>
  <goal name="inversion_mem_star_gen.2" proved="true">
  <proof prover="1"><result status="valid" time="0.00" steps="9"/></proof>
  </goal>
  <goal name="inversion_mem_star_gen.3" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="9"/></proof>
  </goal>
  <goal name="inversion_mem_star_gen.4" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="10"/></proof>
  </goal>
  <goal name="inversion_mem_star_gen.5" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="8"/></proof>
  </goal>
  <goal name="inversion_mem_star_gen.6" proved="true">
  <proof prover="3"><result status="valid" time="1.50"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="inversion_mem_star" proved="true">
 <proof prover="1"><result status="valid" time="0.01" steps="22"/></proof>
 </goal>
 <goal name="residual&#39;vc" expl="VC for residual" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="residual&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="1"><result status="valid" time="0.02" steps="52"/></proof>
  </goal>
  <goal name="residual&#39;vc.1" expl="variant decrease" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="52"/></proof>
  </goal>
  <goal name="residual&#39;vc.2" expl="variant decrease" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="63"/></proof>
  </goal>
  <goal name="residual&#39;vc.3" expl="variant decrease" proved="true">
  <proof prover="1"><result status="valid" time="0.02" steps="63"/></proof>
  </goal>
  <goal name="residual&#39;vc.4" expl="variant decrease" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="63"/></proof>
  </goal>
  <goal name="residual&#39;vc.5" expl="variant decrease" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="52"/></proof>
  </goal>
  <goal name="residual&#39;vc.6" expl="postcondition" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="residual&#39;vc.6.0" expl="postcondition" proved="true">
   <transf name="split_goal_right" proved="true" >
    <goal name="residual&#39;vc.6.0.0" expl="postcondition" proved="true">
    <proof prover="1" timelimit="1"><result status="valid" time="0.03" steps="77"/></proof>
    </goal>
    <goal name="residual&#39;vc.6.0.1" expl="postcondition" proved="true">
    <proof prover="1" timelimit="1"><result status="valid" time="0.04" steps="77"/></proof>
    </goal>
    <goal name="residual&#39;vc.6.0.2" expl="postcondition" proved="true">
    <proof prover="1" timelimit="1"><result status="valid" time="0.06" steps="219"/></proof>
    </goal>
    <goal name="residual&#39;vc.6.0.3" expl="postcondition" proved="true">
    <proof prover="1" timelimit="1"><result status="valid" time="0.05" steps="84"/></proof>
    </goal>
    <goal name="residual&#39;vc.6.0.4" expl="postcondition" proved="true">
    <proof prover="0"><result status="valid" time="0.64" steps="132377"/></proof>
    </goal>
    <goal name="residual&#39;vc.6.0.5" expl="postcondition" proved="true">
    <proof prover="0"><result status="valid" time="0.08" steps="13289"/></proof>
    </goal>
    <goal name="residual&#39;vc.6.0.6" expl="postcondition" proved="true">
    <proof prover="1" timelimit="1"><result status="valid" time="0.03" steps="163"/></proof>
    </goal>
   </transf>
   </goal>
   <goal name="residual&#39;vc.6.1" expl="postcondition" proved="true">
   <transf name="split_goal_right" proved="true" >
    <goal name="residual&#39;vc.6.1.0" expl="postcondition" proved="true">
    <proof prover="1" timelimit="1"><result status="valid" time="0.02" steps="55"/></proof>
    </goal>
    <goal name="residual&#39;vc.6.1.1" expl="postcondition" proved="true">
    <proof prover="1" timelimit="1"><result status="valid" time="0.02" steps="55"/></proof>
    </goal>
    <goal name="residual&#39;vc.6.1.2" expl="postcondition" proved="true">
    <proof prover="1" timelimit="1"><result status="valid" time="0.03" steps="93"/></proof>
    </goal>
    <goal name="residual&#39;vc.6.1.3" expl="postcondition" proved="true">
    <proof prover="1" timelimit="1"><result status="valid" time="0.02" steps="65"/></proof>
    </goal>
    <goal name="residual&#39;vc.6.1.4" expl="postcondition" proved="true">
    <proof prover="0"><result status="valid" time="0.52" steps="138788"/></proof>
    </goal>
    <goal name="residual&#39;vc.6.1.5" expl="postcondition" proved="true">
    <proof prover="0"><result status="valid" time="0.42" steps="104844"/></proof>
    <transf name="split_vc" proved="true" >
     <goal name="residual&#39;vc.6.1.5.0" expl="postcondition" proved="true">
     <proof prover="0" timelimit="1"><result status="valid" time="0.41" steps="104477"/></proof>
     </goal>
    </transf>
    </goal>
    <goal name="residual&#39;vc.6.1.6" expl="postcondition" proved="true">
    <proof prover="0"><result status="valid" time="0.06" steps="10903"/></proof>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
 </transf>
 </goal>
 <goal name="decide_mem&#39;vc" expl="VC for decide_mem" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="decide_mem&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="15"/></proof>
  </goal>
  <goal name="decide_mem&#39;vc.1" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.01" steps="25618"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
