<?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="2.0.0" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="2" name="Z3" version="4.6.0" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="verifythis_2018_mind_the_gap_2.mlw"/>
<theory name="GapBuffer" proved="true">
 <goal name="buffer&#39;vc" expl="VC for buffer" proved="true">
 <proof prover="2"><result status="valid" time="0.01" steps="23369"/></proof>
 </goal>
 <goal name="left&#39;vc" expl="VC for left" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="left&#39;vc.0" expl="index in array bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.02" steps="26013"/></proof>
  </goal>
  <goal name="left&#39;vc.1" expl="index in array bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.02" steps="25974"/></proof>
  </goal>
  <goal name="left&#39;vc.2" expl="type invariant" proved="true">
  <proof prover="2"><result status="valid" time="0.02" steps="30110"/></proof>
  </goal>
  <goal name="left&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.01" steps="29857"/></proof>
  </goal>
  <goal name="left&#39;vc.4" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.02" steps="62"/></proof>
  </goal>
  <goal name="left&#39;vc.5" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.02" steps="1234"/></proof>
  </goal>
  <goal name="left&#39;vc.6" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.02" steps="7"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="right&#39;vc" expl="VC for right" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="right&#39;vc.0" expl="index in array bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.02" steps="25964"/></proof>
  </goal>
  <goal name="right&#39;vc.1" expl="index in array bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.03" steps="26015"/></proof>
  </goal>
  <goal name="right&#39;vc.2" expl="type invariant" proved="true">
  <proof prover="2"><result status="valid" time="0.02" steps="30024"/></proof>
  </goal>
  <goal name="right&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.02" steps="29799"/></proof>
  </goal>
  <goal name="right&#39;vc.4" expl="postcondition" proved="true">
  <proof prover="0" memlimit="2000"><result status="valid" time="0.02" steps="62"/></proof>
  </goal>
  <goal name="right&#39;vc.5" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.02" steps="1366"/></proof>
  </goal>
  <goal name="right&#39;vc.6" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.02" steps="7"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="grow&#39;vc" expl="VC for grow" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="grow&#39;vc.0" expl="array creation size" proved="true">
  <proof prover="2"><result status="valid" time="0.02" steps="24985"/></proof>
  </goal>
  <goal name="grow&#39;vc.1" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.02" steps="25923"/></proof>
  </goal>
  <goal name="grow&#39;vc.2" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.02" steps="25826"/></proof>
  </goal>
  <goal name="grow&#39;vc.3" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.03" steps="26788"/></proof>
  </goal>
  <goal name="grow&#39;vc.4" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.02" steps="26688"/></proof>
  </goal>
  <goal name="grow&#39;vc.5" expl="type invariant" proved="true">
  <proof prover="2"><result status="valid" time="0.02" steps="28313"/></proof>
  </goal>
  <goal name="grow&#39;vc.6" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.02" steps="7639"/></proof>
  </goal>
  <goal name="grow&#39;vc.7" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.01" steps="7659"/></proof>
  </goal>
  <goal name="grow&#39;vc.8" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.03" steps="66962"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="insert&#39;vc" expl="VC for insert" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="insert&#39;vc.0" expl="index in array bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.02" steps="29752"/></proof>
  </goal>
  <goal name="insert&#39;vc.1" expl="type invariant" proved="true">
  <proof prover="2"><result status="valid" time="0.02" steps="33556"/></proof>
  </goal>
  <goal name="insert&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.01" steps="8729"/></proof>
  </goal>
  <goal name="insert&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.03" steps="189"/></proof>
  </goal>
  <goal name="insert&#39;vc.4" expl="index in array bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.02" steps="26010"/></proof>
  </goal>
  <goal name="insert&#39;vc.5" expl="type invariant" proved="true">
  <proof prover="2"><result status="valid" time="0.02" steps="30115"/></proof>
  </goal>
  <goal name="insert&#39;vc.6" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.04" steps="8060"/></proof>
  </goal>
  <goal name="insert&#39;vc.7" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.02" steps="116"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="delete&#39;vc" expl="VC for delete" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="delete&#39;vc.0" expl="type invariant" proved="true">
  <proof prover="2"><result status="valid" time="0.04" steps="26059"/></proof>
  </goal>
  <goal name="delete&#39;vc.1" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.19" steps="360567"/></proof>
  </goal>
  <goal name="delete&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.01" steps="1490"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
