<?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="1" name="Z3" version="4.8.10" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="2" name="Z3" version="4.12.2" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="3" name="CVC4" version="1.8" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="4" name="Alt-Ergo" version="2.4.3" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="just_join.mlw"/>
<theory name="Top" proved="true">
 <goal name="height&#39;vc" expl="VC for height" proved="true">
 <proof prover="1"><result status="valid" time="0.025206" steps="1973"/></proof>
 </goal>
 <goal name="rotate_left&#39;vc" expl="VC for rotate_left" proved="true">
 <proof prover="2"><result status="valid" time="0.070015" steps="178576"/></proof>
 </goal>
 <goal name="rotate_right&#39;vc" expl="VC for rotate_right" proved="true">
 <proof prover="2"><result status="valid" time="0.024635" steps="72026"/></proof>
 </goal>
 <goal name="join_right&#39;vc" expl="VC for join_right" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="join_right&#39;vc.0" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.039907" steps="26504"/></proof>
  </goal>
  <goal name="join_right&#39;vc.1" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.031055" steps="30441"/></proof>
  </goal>
  <goal name="join_right&#39;vc.2" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.017755" steps="12932"/></proof>
  </goal>
  <goal name="join_right&#39;vc.3" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.037968" steps="19418"/></proof>
  </goal>
  <goal name="join_right&#39;vc.4" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.681139" steps="6071258"/></proof>
  </goal>
  <goal name="join_right&#39;vc.5" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.012761" steps="1201"/></proof>
  </goal>
  <goal name="join_right&#39;vc.6" expl="variant decrease" proved="true">
  <proof prover="1"><result status="valid" time="0.034275" steps="10808"/></proof>
  </goal>
  <goal name="join_right&#39;vc.7" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.020232" steps="10366"/></proof>
  </goal>
  <goal name="join_right&#39;vc.8" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.015468" steps="11070"/></proof>
  </goal>
  <goal name="join_right&#39;vc.9" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.016371" steps="1137"/></proof>
  </goal>
  <goal name="join_right&#39;vc.10" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.016020" steps="14434"/></proof>
  </goal>
  <goal name="join_right&#39;vc.11" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.028024" steps="11079"/></proof>
  </goal>
  <goal name="join_right&#39;vc.12" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.019310" steps="19193"/></proof>
  </goal>
  <goal name="join_right&#39;vc.13" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.282428" steps="31550"/></proof>
  </goal>
  <goal name="join_right&#39;vc.14" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.014451" steps="14590"/></proof>
  </goal>
  <goal name="join_right&#39;vc.15" expl="unreachable point" proved="true">
  <proof prover="3"><result status="valid" time="0.020000" steps="4986"/></proof>
  </goal>
  <goal name="join_right&#39;vc.16" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.041924" steps="82640"/></proof>
  </goal>
  <goal name="join_right&#39;vc.17" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.323941" steps="34580"/></proof>
  </goal>
  <goal name="join_right&#39;vc.18" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.630636" steps="1991056"/></proof>
  </goal>
  <goal name="join_right&#39;vc.19" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.082333" steps="304593"/></proof>
  </goal>
  <goal name="join_right&#39;vc.20" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.060982" steps="255053"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="join_left&#39;vc" expl="VC for join_left" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="join_left&#39;vc.0" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.031082" steps="23290"/></proof>
  </goal>
  <goal name="join_left&#39;vc.1" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.023721" steps="25784"/></proof>
  </goal>
  <goal name="join_left&#39;vc.2" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.025554" steps="12967"/></proof>
  </goal>
  <goal name="join_left&#39;vc.3" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.024128" steps="20622"/></proof>
  </goal>
  <goal name="join_left&#39;vc.4" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.046572" steps="15242"/></proof>
  </goal>
  <goal name="join_left&#39;vc.5" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.016621" steps="1201"/></proof>
  </goal>
  <goal name="join_left&#39;vc.6" expl="variant decrease" proved="true">
  <proof prover="1"><result status="valid" time="0.020190" steps="10808"/></proof>
  </goal>
  <goal name="join_left&#39;vc.7" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.020035" steps="10368"/></proof>
  </goal>
  <goal name="join_left&#39;vc.8" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.016535" steps="1094"/></proof>
  </goal>
  <goal name="join_left&#39;vc.9" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.024856" steps="11101"/></proof>
  </goal>
  <goal name="join_left&#39;vc.10" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.028745" steps="14446"/></proof>
  </goal>
  <goal name="join_left&#39;vc.11" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.026897" steps="11081"/></proof>
  </goal>
  <goal name="join_left&#39;vc.12" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.024132" steps="21144"/></proof>
  </goal>
  <goal name="join_left&#39;vc.13" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.269407" steps="32864"/></proof>
  </goal>
  <goal name="join_left&#39;vc.14" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.024506" steps="14528"/></proof>
  </goal>
  <goal name="join_left&#39;vc.15" expl="unreachable point" proved="true">
  <proof prover="4"><result status="valid" time="0.006888" steps="30"/></proof>
  </goal>
  <goal name="join_left&#39;vc.16" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.047740" steps="104897"/></proof>
  </goal>
  <goal name="join_left&#39;vc.17" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.461034" steps="1439780"/></proof>
  </goal>
  <goal name="join_left&#39;vc.18" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.054528" steps="233665"/></proof>
  </goal>
  <goal name="join_left&#39;vc.19" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.110656" steps="258753"/></proof>
  </goal>
  <goal name="join_left&#39;vc.20" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.078752" steps="177756"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="join&#39;vc" expl="VC for join" proved="true">
 <proof prover="1"><result status="valid" time="0.131817" steps="54394"/></proof>
 </goal>
 <goal name="split&#39;vc" expl="VC for split" proved="true">
 <proof prover="1"><result status="valid" time="0.141631" steps="114862"/></proof>
 </goal>
 <goal name="insert&#39;vc" expl="VC for insert" proved="true">
 <proof prover="1"><result status="valid" time="0.062232" steps="11476"/></proof>
 </goal>
 <goal name="split_last&#39;vc" expl="VC for split_last" proved="true">
 <proof prover="1"><result status="valid" time="0.314753" steps="581333"/></proof>
 </goal>
 <goal name="join2&#39;vc" expl="VC for join2" proved="true">
 <proof prover="1"><result status="valid" time="0.220032" steps="603568"/></proof>
 </goal>
 <goal name="delete&#39;vc" expl="VC for delete" proved="true">
 <proof prover="1"><result status="valid" time="0.045958" steps="9960"/></proof>
 </goal>
</theory>
</file>
</why3session>
