<?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="2.3.0" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="2" name="Alt-Ergo" version="2.1.0" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="tower_of_hanoi.mlw"/>
<theory name="Hanoi" proved="true">
 <goal name="tower&#39;vc" expl="VC for tower" proved="true">
 <proof prover="2"><result status="valid" time="0.000000" steps="2"/></proof>
 </goal>
 <goal name="move&#39;vc" expl="VC for move" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="move&#39;vc.0" expl="type invariant" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="17"/></proof>
  </goal>
  <goal name="move&#39;vc.1" expl="type invariant" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="115"/></proof>
  </goal>
  <goal name="move&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="21"/></proof>
  </goal>
  <goal name="move&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="23"/></proof>
  </goal>
  <goal name="move&#39;vc.4" expl="unreachable point" proved="true">
  <proof prover="2"><result status="valid" time="0.000000" steps="11"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="hanoi_rec&#39;vc" expl="VC for hanoi_rec" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="hanoi_rec&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.000000" steps="12"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.1" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="16"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.2" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="81"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.3" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="88"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.4" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.000000" steps="24"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.5" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="102"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.6" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.000000" steps="32"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.7" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.000000" steps="32"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.8" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.000000" steps="38"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.9" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.330000" steps="3267"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.10" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="44"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.11" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="49"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.12" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="47"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.13" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.000000" steps="16"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.14" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.000000" steps="18"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.15" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.000000" steps="2"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="tower_of_hanoi&#39;vc" expl="VC for tower_of_hanoi" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="tower_of_hanoi&#39;vc.0" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.000000" steps="14"/></proof>
  </goal>
  <goal name="tower_of_hanoi&#39;vc.1" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.000000" steps="18"/></proof>
  </goal>
  <goal name="tower_of_hanoi&#39;vc.2" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="19"/></proof>
  </goal>
  <goal name="tower_of_hanoi&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.000000" steps="26"/></proof>
  </goal>
  <goal name="tower_of_hanoi&#39;vc.4" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.000000" steps="27"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
<theory name="Tower_of_Hanoi" proved="true">
 <goal name="RevSorted.Transitive.Trans" proved="true">
 <proof prover="2"><result status="valid" time="0.000000" steps="4"/></proof>
 </goal>
 <goal name="tower&#39;vc" expl="VC for tower" proved="true">
 <proof prover="2"><result status="valid" time="0.000000" steps="4"/></proof>
 </goal>
 <goal name="move&#39;vc" expl="VC for move" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="move&#39;vc.0" expl="type invariant" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="19"/></proof>
  </goal>
  <goal name="move&#39;vc.1" expl="type invariant" proved="true">
  <proof prover="2"><result status="valid" time="0.030000" steps="134"/></proof>
  </goal>
  <goal name="move&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="23"/></proof>
  </goal>
  <goal name="move&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="25"/></proof>
  </goal>
  <goal name="move&#39;vc.4" expl="unreachable point" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="13"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="hanoi_rec&#39;vc" expl="VC for hanoi_rec" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="hanoi_rec&#39;vc.0" expl="unreachable point" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="24"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.1" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="24"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.2" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="49"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.3" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="30"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.4" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.950000" steps="6165"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.5" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="1.120000" steps="4187"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.6" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="36"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.7" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.050000" steps="269"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.8" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="44"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.9" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="84"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.10" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="48"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.11" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.040000" steps="157"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.12" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="1.930000" steps="6201"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.13" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="56"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.14" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="59"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.15" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="59"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.16" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="61"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.17" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.030000" steps="71"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.18" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="4"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="tower_of_hanoi&#39;vc" expl="VC for tower_of_hanoi" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="tower_of_hanoi&#39;vc.0" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="92"/></proof>
  </goal>
  <goal name="tower_of_hanoi&#39;vc.1" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="53"/></proof>
  </goal>
  <goal name="tower_of_hanoi&#39;vc.2" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="22"/></proof>
  </goal>
  <goal name="tower_of_hanoi&#39;vc.3" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="22"/></proof>
  </goal>
  <goal name="tower_of_hanoi&#39;vc.4" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="57"/></proof>
  </goal>
  <goal name="tower_of_hanoi&#39;vc.5" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="28"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
