<?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="CVC4" version="1.7" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="2" name="Alt-Ergo" version="2.4.2" 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="braun_trees.mlw"/>
<theory name="BraunHeaps" proved="true">
 <goal name="root_is_min&#39;vc" expl="VC for root_is_min" proved="true">
 <proof prover="2"><result status="valid" time="8.793893" steps="52876"/></proof>
 </goal>
 <goal name="empty&#39;vc" expl="VC for empty" proved="true">
 <proof prover="2"><result status="valid" time="0.000000" steps="23"/></proof>
 </goal>
 <goal name="get_min&#39;vc" expl="VC for get_min" proved="true">
 <proof prover="2"><result status="valid" time="0.000000" steps="39"/></proof>
 </goal>
 <goal name="add&#39;vc" expl="VC for add" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="add&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="1"><result status="valid" time="0.060000" steps="5138"/></proof>
  </goal>
  <goal name="add&#39;vc.1" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.040000" steps="3861"/></proof>
  </goal>
  <goal name="add&#39;vc.2" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.050000" steps="4509"/></proof>
  </goal>
  <goal name="add&#39;vc.3" expl="variant decrease" proved="true">
  <proof prover="1"><result status="valid" time="0.070000" steps="5164"/></proof>
  </goal>
  <goal name="add&#39;vc.4" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.040000" steps="3865"/></proof>
  </goal>
  <goal name="add&#39;vc.5" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.060000" steps="4536"/></proof>
  </goal>
  <goal name="add&#39;vc.6" expl="postcondition" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="add&#39;vc.6.0" expl="postcondition" proved="true">
   <proof prover="1"><result status="valid" time="0.050000" steps="4783"/></proof>
   </goal>
   <goal name="add&#39;vc.6.1" expl="postcondition" proved="true">
   <proof prover="2" timelimit="1"><result status="valid" time="1.390000" steps="11096"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="add&#39;vc.7" expl="postcondition" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="add&#39;vc.7.0" expl="postcondition" proved="true">
   <proof prover="1"><result status="valid" time="0.060000" steps="4785"/></proof>
   </goal>
   <goal name="add&#39;vc.7.1" expl="postcondition" proved="true">
   <proof prover="1"><result status="valid" time="0.070000" steps="6681"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="add&#39;vc.8" expl="postcondition" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="add&#39;vc.8.0" expl="postcondition" proved="true">
   <proof prover="1"><result status="valid" time="0.070000" steps="5248"/></proof>
   </goal>
   <goal name="add&#39;vc.8.1" expl="postcondition" proved="true">
   <proof prover="1"><result status="valid" time="0.090000" steps="9821"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="add&#39;vc.9" expl="postcondition" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="add&#39;vc.9.0" expl="postcondition" proved="true">
   <proof prover="1"><result status="valid" time="0.070000" steps="5388"/></proof>
   </goal>
   <goal name="add&#39;vc.9.1" expl="postcondition" proved="true">
   <proof prover="1"><result status="valid" time="0.080000" steps="11166"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="add&#39;vc.10" expl="postcondition" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="add&#39;vc.10.0" expl="postcondition" proved="true">
   <proof prover="1"><result status="valid" time="0.060000" steps="5395"/></proof>
   </goal>
   <goal name="add&#39;vc.10.1" expl="postcondition" proved="true">
   <proof prover="1"><result status="valid" time="0.070000" steps="7055"/></proof>
   </goal>
  </transf>
  </goal>
 </transf>
 </goal>
 <goal name="extract&#39;vc" expl="VC for extract" proved="true">
 <proof prover="2"><result status="valid" time="1.860000" steps="15035"/></proof>
 </goal>
 <goal name="replace_min&#39;vc" expl="VC for replace_min" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="replace_min&#39;vc.0" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="191"/></proof>
  </goal>
  <goal name="replace_min&#39;vc.1" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="105"/></proof>
  </goal>
  <goal name="replace_min&#39;vc.2" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="26"/></proof>
  </goal>
  <goal name="replace_min&#39;vc.3" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="27"/></proof>
  </goal>
  <goal name="replace_min&#39;vc.4" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="193"/></proof>
  </goal>
  <goal name="replace_min&#39;vc.5" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="109"/></proof>
  </goal>
  <goal name="replace_min&#39;vc.6" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="26"/></proof>
  </goal>
  <goal name="replace_min&#39;vc.7" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="27"/></proof>
  </goal>
  <goal name="replace_min&#39;vc.8" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="146"/></proof>
  </goal>
  <goal name="replace_min&#39;vc.9" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="232"/></proof>
  </goal>
  <goal name="replace_min&#39;vc.10" expl="unreachable point" proved="true">
  <proof prover="2"><result status="valid" time="0.000000" steps="18"/></proof>
  </goal>
  <goal name="replace_min&#39;vc.11" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.380000" steps="58558"/></proof>
  <proof prover="2"><result status="valid" time="5.192003" steps="49972"/></proof>
  </goal>
  <goal name="replace_min&#39;vc.12" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.080000" steps="407"/></proof>
  </goal>
  <goal name="replace_min&#39;vc.13" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.080000" steps="1155"/></proof>
  </goal>
  <goal name="replace_min&#39;vc.14" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="2.600000" steps="15695"/></proof>
  </goal>
  <goal name="replace_min&#39;vc.15" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="314"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="merge&#39;vc" expl="VC for merge" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="merge&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="76"/></proof>
  </goal>
  <goal name="merge&#39;vc.1" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.000000" steps="41"/></proof>
  </goal>
  <goal name="merge&#39;vc.2" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="43"/></proof>
  </goal>
  <goal name="merge&#39;vc.3" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="166"/></proof>
  </goal>
  <goal name="merge&#39;vc.4" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.000000" steps="28"/></proof>
  </goal>
  <goal name="merge&#39;vc.5" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.000000" steps="28"/></proof>
  </goal>
  <goal name="merge&#39;vc.6" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="130"/></proof>
  </goal>
  <goal name="merge&#39;vc.7" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="36"/></proof>
  </goal>
  <goal name="merge&#39;vc.8" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.000000" steps="36"/></proof>
  </goal>
  <goal name="merge&#39;vc.9" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="153"/></proof>
  </goal>
  <goal name="merge&#39;vc.10" expl="unreachable point" proved="true">
  <proof prover="2"><result status="valid" time="0.000000" steps="87"/></proof>
  </goal>
  <goal name="merge&#39;vc.11" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.580000" steps="51957"/></proof>
  </goal>
  <goal name="merge&#39;vc.12" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.210000" steps="2482"/></proof>
  </goal>
  <goal name="merge&#39;vc.13" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.290000" steps="2826"/></proof>
  </goal>
  <goal name="merge&#39;vc.14" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.070000" steps="1088"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="remove_min&#39;vc" expl="VC for remove_min" proved="true">
 <proof prover="2"><result status="valid" time="0.030000" steps="555"/></proof>
 </goal>
 <goal name="diff&#39;vc" expl="VC for diff" proved="true">
 <proof prover="2"><result status="valid" time="0.490000" steps="4873"/></proof>
 </goal>
 <goal name="fast_size&#39;vc" expl="VC for fast_size" proved="true">
 <proof prover="2"><result status="valid" time="0.020000" steps="212"/></proof>
 </goal>
 <goal name="size_height&#39;vc" expl="VC for size_height" proved="true">
 <proof prover="2" timelimit="5"><result status="valid" time="0.120000" steps="856"/></proof>
 </goal>
 <goal name="inv_height&#39;vc" expl="VC for inv_height" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="inv_height&#39;vc.0" expl="assertion" proved="true">
  <proof prover="2" timelimit="5"><result status="valid" time="0.060000" steps="374"/></proof>
  </goal>
  <goal name="inv_height&#39;vc.1" expl="variant decrease" proved="true">
  <proof prover="2" timelimit="5"><result status="valid" time="0.010000" steps="268"/></proof>
  </goal>
  <goal name="inv_height&#39;vc.2" expl="precondition" proved="true">
  <proof prover="2" timelimit="5"><result status="valid" time="0.010000" steps="41"/></proof>
  </goal>
  <goal name="inv_height&#39;vc.3" expl="variant decrease" proved="true">
  <proof prover="2" timelimit="5"><result status="valid" time="0.010000" steps="530"/></proof>
  </goal>
  <goal name="inv_height&#39;vc.4" expl="precondition" proved="true">
  <proof prover="2" timelimit="5"><result status="valid" time="0.010000" steps="45"/></proof>
  </goal>
  <goal name="inv_height&#39;vc.5" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.070000" steps="18202"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
