<?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="Alt-Ergo" version="2.4.1" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="2" name="Coq" version="8.11.2" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="3" name="Alt-Ergo" version="2.2.0" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="4" name="Spass" version="3.9" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="5" name="Eprover" version="2.0" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="7" name="CVC4" version="1.5" timelimit="1" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="gcd.mlw"/>
<theory name="EuclideanAlgorithm" proved="true">
 <goal name="euclid&#39;vc" expl="VC for euclid" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="euclid&#39;vc.0" expl="check modulo by zero" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="0"/></proof>
  </goal>
  <goal name="euclid&#39;vc.1" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.020000" steps="24"/></proof>
  </goal>
  <goal name="euclid&#39;vc.2" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="8"/></proof>
  </goal>
  <goal name="euclid&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.030000" steps="29"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
<theory name="EuclideanAlgorithmIterative" proved="true">
 <goal name="euclid&#39;vc" expl="VC for euclid" proved="true">
 <proof prover="5"><result status="valid" time="0.020000"/></proof>
 </goal>
</theory>
<theory name="BinaryGcd" proved="true">
 <goal name="even1" proved="true">
 <proof prover="0"><result status="valid" time="0.010000" steps="26"/></proof>
 </goal>
 <goal name="odd1" proved="true">
 <proof prover="0"><result status="valid" time="0.020000" steps="30"/></proof>
 </goal>
 <goal name="div_nonneg" proved="true">
 <proof prover="0"><result status="valid" time="0.010000" steps="4"/></proof>
 </goal>
 <goal name="gcd_even_even" proved="true">
 <proof prover="0"><result status="valid" time="0.010000" steps="12"/></proof>
 </goal>
 <goal name="gcd_even_odd" proved="true">
 <proof prover="2"><path name="gcd_BinaryGcd_gcd_even_odd_2.v"/><result status="valid" time="0.280000"/></proof>
 </goal>
 <goal name="gcd_even_odd2" proved="true">
 <proof prover="0"><result status="valid" time="0.740000" steps="103"/></proof>
 </goal>
 <goal name="odd_odd_div2" proved="true">
 <proof prover="0"><result status="valid" time="0.010000" steps="12"/></proof>
 </goal>
 <goal name="gcd_odd_odd&#39;vc" expl="VC for gcd_odd_odd" proved="true">
 <proof prover="0"><result status="valid" time="0.120000" steps="59"/></proof>
 </goal>
 <goal name="gcd_odd_odd2" proved="true">
 <proof prover="0"><result status="valid" time="0.970000" steps="104"/></proof>
 </goal>
 <goal name="binary_gcd&#39;vc" expl="VC for binary_gcd" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="binary_gcd&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="12"/></proof>
  </goal>
  <goal name="binary_gcd&#39;vc.1" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="12"/></proof>
  </goal>
  <goal name="binary_gcd&#39;vc.2" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="14"/></proof>
  </goal>
  <goal name="binary_gcd&#39;vc.3" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="16"/></proof>
  </goal>
  <goal name="binary_gcd&#39;vc.4" expl="check division by zero" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="18"/></proof>
  </goal>
  <goal name="binary_gcd&#39;vc.5" expl="check division by zero" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="18"/></proof>
  </goal>
  <goal name="binary_gcd&#39;vc.6" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="21"/></proof>
  </goal>
  <goal name="binary_gcd&#39;vc.7" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="19"/></proof>
  </goal>
  <goal name="binary_gcd&#39;vc.8" expl="check division by zero" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="18"/></proof>
  </goal>
  <goal name="binary_gcd&#39;vc.9" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.020000" steps="20"/></proof>
  </goal>
  <goal name="binary_gcd&#39;vc.10" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="20"/></proof>
  </goal>
  <goal name="binary_gcd&#39;vc.11" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="16"/></proof>
  </goal>
  <goal name="binary_gcd&#39;vc.12" expl="check division by zero" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="18"/></proof>
  </goal>
  <goal name="binary_gcd&#39;vc.13" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.020000" steps="20"/></proof>
  </goal>
  <goal name="binary_gcd&#39;vc.14" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="20"/></proof>
  </goal>
  <goal name="binary_gcd&#39;vc.15" expl="check division by zero" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="18"/></proof>
  </goal>
  <goal name="binary_gcd&#39;vc.16" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="20"/></proof>
  </goal>
  <goal name="binary_gcd&#39;vc.17" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="20"/></proof>
  </goal>
  <goal name="binary_gcd&#39;vc.18" expl="postcondition" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="binary_gcd&#39;vc.18.0" expl="postcondition" proved="true">
   <proof prover="4"><result status="valid" time="0.010000"/></proof>
   </goal>
   <goal name="binary_gcd&#39;vc.18.1" expl="postcondition" proved="true">
   <proof prover="3"><result status="valid" time="0.040000" steps="18"/></proof>
   </goal>
   <goal name="binary_gcd&#39;vc.18.2" expl="postcondition" proved="true">
   <proof prover="1"><result status="valid" time="0.040000" steps="548"/></proof>
   </goal>
   <goal name="binary_gcd&#39;vc.18.3" expl="postcondition" proved="true">
   <proof prover="3"><result status="valid" time="1.440000" steps="109"/></proof>
   </goal>
   <goal name="binary_gcd&#39;vc.18.4" expl="postcondition" proved="true">
   <proof prover="5" timelimit="1"><result status="valid" time="0.700000"/></proof>
   </goal>
   <goal name="binary_gcd&#39;vc.18.5" expl="postcondition" proved="true">
   <proof prover="5"><result status="valid" time="0.740000"/></proof>
   </goal>
  </transf>
  </goal>
 </transf>
 </goal>
</theory>
<theory name="EuclideanAlgorithm63" proved="true">
 <goal name="euclid&#39;vc" expl="VC for euclid" proved="true">
 <proof prover="7"><result status="valid" time="0.090000" steps="20210"/></proof>
 </goal>
</theory>
</file>
</why3session>
