<?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="Z3" version="4.12.2" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="2" name="CVC4" version="1.4" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="5" name="Eprover" version="2.0" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="8" name="CVC4" version="1.5" timelimit="1" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="hashtbl_impl.mlw"/>
<theory name="HashtblImpl" proved="true">
 <goal name="bucket&#39;vc" expl="VC for bucket" proved="true">
 <proof prover="8"><result status="valid" time="0.030000" steps="5646"/></proof>
 </goal>
 <goal name="bucket_bounds" proved="true">
 <proof prover="8"><result status="valid" time="0.030000" steps="5504"/></proof>
 </goal>
 <goal name="t&#39;vc" expl="VC for t" proved="true">
 <proof prover="8"><result status="valid" time="0.080000" steps="12450"/></proof>
 </goal>
 <goal name="create&#39;vc" expl="VC for create" proved="true">
 <proof prover="8"><result status="valid" time="0.050000" steps="13313"/></proof>
 </goal>
 <goal name="clear&#39;vc" expl="VC for clear" proved="true">
 <proof prover="8"><result status="valid" time="0.070000" steps="17737"/></proof>
 </goal>
 <goal name="resize&#39;vc" expl="VC for resize" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="resize&#39;vc.0" expl="array creation size" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="8999"/></proof>
  </goal>
  <goal name="resize&#39;vc.1" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.050000" steps="12022"/></proof>
  </goal>
  <goal name="resize&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.050000" steps="12613"/></proof>
  </goal>
  <goal name="resize&#39;vc.3" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="12338"/></proof>
  </goal>
  <goal name="resize&#39;vc.4" expl="index in array bounds" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="12254"/></proof>
  </goal>
  <goal name="resize&#39;vc.5" expl="index in array bounds" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="12254"/></proof>
  </goal>
  <goal name="resize&#39;vc.6" expl="variant decrease" proved="true">
  <proof prover="8"><result status="valid" time="0.060000" steps="14009"/></proof>
  </goal>
  <goal name="resize&#39;vc.7" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.050000" steps="14086"/></proof>
  </goal>
  <goal name="resize&#39;vc.8" expl="precondition" proved="true">
  <transf name="inline_all" proved="true" >
   <goal name="resize&#39;vc.8.0" expl="precondition" proved="true">
   <proof prover="8"><result status="valid" time="0.060000" steps="17487"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="resize&#39;vc.9" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.060000" steps="18031"/></proof>
  </goal>
  <goal name="resize&#39;vc.10" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.050000" steps="14953"/></proof>
  </goal>
  <goal name="resize&#39;vc.11" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.060000" steps="15528"/></proof>
  </goal>
  <goal name="resize&#39;vc.12" expl="loop invariant init" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="10905"/></proof>
  </goal>
  <goal name="resize&#39;vc.13" expl="loop invariant init" proved="true">
  <proof prover="8"><result status="valid" time="0.050000" steps="10750"/></proof>
  </goal>
  <goal name="resize&#39;vc.14" expl="index in array bounds" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="10392"/></proof>
  </goal>
  <goal name="resize&#39;vc.15" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.020000" steps="63020"/></proof>
  </goal>
  <goal name="resize&#39;vc.16" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="11260"/></proof>
  </goal>
  <goal name="resize&#39;vc.17" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.030000"/></proof>
  </goal>
  <goal name="resize&#39;vc.18" expl="loop invariant preservation" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="11702"/></proof>
  </goal>
  <goal name="resize&#39;vc.19" expl="loop invariant preservation" proved="true">
  <proof prover="8"><result status="valid" time="0.050000" steps="12177"/></proof>
  </goal>
  <goal name="resize&#39;vc.20" expl="type invariant" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="10256"/></proof>
  </goal>
  <goal name="resize&#39;vc.21" expl="type invariant" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="11040"/></proof>
  </goal>
  <goal name="resize&#39;vc.22" expl="type invariant" proved="true">
  <proof prover="8"><result status="valid" time="0.050000" steps="11404"/></proof>
  </goal>
  <goal name="resize&#39;vc.23" expl="out of loop bounds" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="10556"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="list_find&#39;vc" expl="VC for list_find" proved="true">
 <proof prover="8"><result status="valid" time="0.060000" steps="12485"/></proof>
 </goal>
 <goal name="find&#39;vc" expl="VC for find" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="find&#39;vc.0" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.050000" steps="8993"/></proof>
  </goal>
  <goal name="find&#39;vc.1" expl="index in array bounds" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="8852"/></proof>
  </goal>
  <goal name="find&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="5"><result status="valid" time="0.738666"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="list_remove&#39;vc" expl="VC for list_remove" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="list_remove&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="9476"/></proof>
  </goal>
  <goal name="list_remove&#39;vc.1" expl="variant decrease" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="9323"/></proof>
  </goal>
  <goal name="list_remove&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="11035"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="remove&#39;vc" expl="VC for remove" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="remove&#39;vc.0" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="8993"/></proof>
  </goal>
  <goal name="remove&#39;vc.1" expl="index in array bounds" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="8852"/></proof>
  </goal>
  <goal name="remove&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="5" timelimit="1"><result status="valid" time="0.724972"/></proof>
  </goal>
  <goal name="remove&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="6487"/></proof>
  </goal>
  <goal name="remove&#39;vc.4" expl="index in array bounds" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="10506"/></proof>
  </goal>
  <goal name="remove&#39;vc.5" expl="type invariant" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="11099"/></proof>
  </goal>
  <goal name="remove&#39;vc.6" expl="type invariant" proved="true">
  <proof prover="0"><result status="valid" time="0.020000" steps="54269"/></proof>
  </goal>
  <goal name="remove&#39;vc.7" expl="type invariant" proved="true">
  <proof prover="2"><result status="valid" time="0.040000"/></proof>
  </goal>
  <goal name="remove&#39;vc.8" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="11656"/></proof>
  </goal>
  <goal name="remove&#39;vc.9" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="12022"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="add&#39;vc" expl="VC for add" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="add&#39;vc.0" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="10450"/></proof>
  </goal>
  <goal name="add&#39;vc.1" expl="index in array bounds" proved="true">
  <proof prover="8"><result status="valid" time="0.050000" steps="10134"/></proof>
  </goal>
  <goal name="add&#39;vc.2" expl="index in array bounds" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="10134"/></proof>
  </goal>
  <goal name="add&#39;vc.3" expl="type invariant" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="11943"/></proof>
  </goal>
  <goal name="add&#39;vc.4" expl="type invariant" proved="true">
  <proof prover="0"><result status="valid" time="0.020000" steps="84713"/></proof>
  </goal>
  <goal name="add&#39;vc.5" expl="type invariant" proved="true">
  <proof prover="2"><result status="valid" time="0.110000"/></proof>
  </goal>
  <goal name="add&#39;vc.6" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="12600"/></proof>
  </goal>
  <goal name="add&#39;vc.7" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="13052"/></proof>
  </goal>
  <goal name="add&#39;vc.8" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="9986"/></proof>
  </goal>
  <goal name="add&#39;vc.9" expl="index in array bounds" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="9708"/></proof>
  </goal>
  <goal name="add&#39;vc.10" expl="index in array bounds" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="9708"/></proof>
  </goal>
  <goal name="add&#39;vc.11" expl="type invariant" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="11488"/></proof>
  </goal>
  <goal name="add&#39;vc.12" expl="type invariant" proved="true">
  <proof prover="0"><result status="valid" time="0.020000" steps="86944"/></proof>
  </goal>
  <goal name="add&#39;vc.13" expl="type invariant" proved="true">
  <proof prover="2"><result status="valid" time="0.100000"/></proof>
  </goal>
  <goal name="add&#39;vc.14" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="12073"/></proof>
  </goal>
  <goal name="add&#39;vc.15" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="12489"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
