<?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="10" steplimit="0" memlimit="1000"/>
<prover id="3" name="CVC4" version="1.5" timelimit="1" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="binary_multiplication.mlw"/>
<theory name="BinaryMultiplication" proved="true">
 <goal name="binary_mult&#39;vc" expl="VC for binary_mult" proved="true">
 <proof prover="0"><result status="valid" time="0.05" steps="65"/></proof>
 </goal>
</theory>
<theory name="BinaryMultiplication63" proved="true">
 <goal name="binary_mult&#39;vc" expl="VC for binary_mult" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="binary_mult&#39;vc.0" expl="loop invariant init" proved="true">
  <proof prover="3"><result status="valid" time="0.01" steps="2822"/></proof>
  </goal>
  <goal name="binary_mult&#39;vc.1" expl="loop invariant init" proved="true">
  <proof prover="3"><result status="valid" time="0.00" steps="2622"/></proof>
  </goal>
  <goal name="binary_mult&#39;vc.2" expl="division by zero" proved="true">
  <proof prover="3"><result status="valid" time="0.00" steps="2735"/></proof>
  </goal>
  <goal name="binary_mult&#39;vc.3" expl="integer overflow" proved="true">
  <proof prover="3"><result status="valid" time="0.02" steps="5112"/></proof>
  </goal>
  <goal name="binary_mult&#39;vc.4" expl="integer overflow" proved="true">
  <proof prover="3"><result status="valid" time="0.08" steps="17491"/></proof>
  </goal>
  <goal name="binary_mult&#39;vc.5" expl="integer overflow" proved="true">
  <proof prover="3"><result status="valid" time="0.07" steps="16074"/></proof>
  </goal>
  <goal name="binary_mult&#39;vc.6" expl="division by zero" proved="true">
  <proof prover="3"><result status="valid" time="0.00" steps="2804"/></proof>
  </goal>
  <goal name="binary_mult&#39;vc.7" expl="integer overflow" proved="true">
  <proof prover="3"><result status="valid" time="0.01" steps="5224"/></proof>
  </goal>
  <goal name="binary_mult&#39;vc.8" expl="integer overflow" proved="true">
  <proof prover="3"><result status="valid" time="0.22" steps="48929"/></proof>
  </goal>
  <goal name="binary_mult&#39;vc.9" expl="loop variant decrease" proved="true">
  <proof prover="3"><result status="valid" time="0.01" steps="5814"/></proof>
  </goal>
  <goal name="binary_mult&#39;vc.10" expl="loop invariant preservation" proved="true">
  <proof prover="3"><result status="valid" time="0.17" steps="36507"/></proof>
  </goal>
  <goal name="binary_mult&#39;vc.11" expl="loop invariant preservation" proved="true">
  <proof prover="3"><result status="valid" time="1.00" steps="125892"/></proof>
  </goal>
  <goal name="binary_mult&#39;vc.12" expl="loop variant decrease" proved="true">
  <proof prover="3"><result status="valid" time="0.01" steps="5419"/></proof>
  </goal>
  <goal name="binary_mult&#39;vc.13" expl="loop invariant preservation" proved="true">
  <proof prover="3"><result status="valid" time="0.08" steps="18766"/></proof>
  </goal>
  <goal name="binary_mult&#39;vc.14" expl="loop invariant preservation" proved="true">
  <proof prover="3"><result status="valid" time="0.11" steps="24315"/></proof>
  </goal>
  <goal name="binary_mult&#39;vc.15" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.00" steps="3054"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
