<?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="2.1.0" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="1" name="CVC4" version="1.5" timelimit="1" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="power_vc_sp.mlw"/>
<theory name="FastExponentiation" proved="true">
 <goal name="fast_exp&#39;vc" expl="VC for fast_exp" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="fast_exp&#39;vc.0" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="4"/></proof>
  </goal>
  <goal name="fast_exp&#39;vc.1" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="6"/></proof>
  </goal>
  <goal name="fast_exp&#39;vc.2" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="6"/></proof>
  </goal>
  <goal name="fast_exp&#39;vc.3" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="4"/></proof>
  </goal>
  <goal name="fast_exp&#39;vc.4" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.100000" steps="89"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="fast_exp_imperative&#39;vc" expl="VC for fast_exp_imperative" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="fast_exp_imperative&#39;vc.0" expl="loop invariant init" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="3139"/></proof>
  </goal>
  <goal name="fast_exp_imperative&#39;vc.1" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="3179"/></proof>
  </goal>
  <goal name="fast_exp_imperative&#39;vc.2" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="3266"/></proof>
  </goal>
  <goal name="fast_exp_imperative&#39;vc.3" expl="assertion" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="4798"/></proof>
  </goal>
  <goal name="fast_exp_imperative&#39;vc.4" expl="loop variant decrease" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="4585"/></proof>
  </goal>
  <goal name="fast_exp_imperative&#39;vc.5" expl="loop invariant preservation" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.560000" steps="100"/></proof>
  </goal>
  <goal name="fast_exp_imperative&#39;vc.6" expl="postcondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.000000" steps="10"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
