<?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="1" name="Alt-Ergo" version="2.0.0" 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="1"><result status="valid" time="0.00" 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="1"><result status="valid" time="0.01" steps="27"/></proof>
  </goal>
  <goal name="move&#39;vc.1" expl="type invariant" proved="true">
  <proof prover="1"><result status="valid" time="0.02" steps="88"/></proof>
  </goal>
  <goal name="move&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="12"/></proof>
  </goal>
  <goal name="move&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="20"/></proof>
  </goal>
  <goal name="move&#39;vc.4" expl="unreachable point" proved="true">
  <proof prover="1"><result status="valid" time="0.00" steps="7"/></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="1"><result status="valid" time="0.00" steps="7"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.1" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="29"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.2" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="30"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.3" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.02" steps="30"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.4" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.00" steps="13"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.5" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="40"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.6" expl="variant decrease" proved="true">
  <proof prover="1"><result status="valid" time="0.00" steps="17"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.7" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.00" steps="17"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.8" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.00" steps="21"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.9" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.92" steps="2746"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.10" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="23"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.11" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="25"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.12" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="25"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.13" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.00" steps="15"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.14" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.00" steps="9"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.15" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.00" 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="1"><result status="valid" time="0.00" steps="8"/></proof>
  </goal>
  <goal name="tower_of_hanoi&#39;vc.1" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.00" steps="10"/></proof>
  </goal>
  <goal name="tower_of_hanoi&#39;vc.2" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="10"/></proof>
  </goal>
  <goal name="tower_of_hanoi&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.00" steps="14"/></proof>
  </goal>
  <goal name="tower_of_hanoi&#39;vc.4" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.00" steps="15"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
<theory name="Tower_of_Hanoi" proved="true">
 <goal name="RevSorted.Transitive.Trans" proved="true">
 <proof prover="1"><result status="valid" time="0.00" steps="3"/></proof>
 </goal>
 <goal name="tower&#39;vc" expl="VC for tower" proved="true">
 <proof prover="1"><result status="valid" time="0.00" steps="3"/></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="1"><result status="valid" time="0.01" steps="30"/></proof>
  </goal>
  <goal name="move&#39;vc.1" expl="type invariant" proved="true">
  <proof prover="1"><result status="valid" time="0.03" steps="95"/></proof>
  </goal>
  <goal name="move&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="13"/></proof>
  </goal>
  <goal name="move&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.02" steps="23"/></proof>
  </goal>
  <goal name="move&#39;vc.4" expl="unreachable point" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="8"/></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="1"><result status="valid" time="0.01" steps="13"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.1" expl="variant decrease" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="15"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.2" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.02" steps="55"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.3" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="18"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.4" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="4.63" steps="11369"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.5" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="1.12" steps="4187"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.6" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="21"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.7" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.05" steps="130"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.8" expl="variant decrease" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="25"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.9" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="94"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.10" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="27"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.11" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="157"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.12" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="1.93" steps="6201"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.13" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="31"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.14" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="33"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.15" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="33"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.16" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="29"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.17" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.03" steps="87"/></proof>
  </goal>
  <goal name="hanoi_rec&#39;vc.18" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="3"/></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="1"><result status="valid" time="0.02" steps="43"/></proof>
  </goal>
  <goal name="tower_of_hanoi&#39;vc.1" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="15"/></proof>
  </goal>
  <goal name="tower_of_hanoi&#39;vc.2" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.02" steps="17"/></proof>
  </goal>
  <goal name="tower_of_hanoi&#39;vc.3" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.02" steps="12"/></proof>
  </goal>
  <goal name="tower_of_hanoi&#39;vc.4" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="32"/></proof>
  </goal>
  <goal name="tower_of_hanoi&#39;vc.5" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.02" steps="15"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
