<?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="2.1.0" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="resizable_array.mlw"/>
<theory name="ResizableArrayImplem" proved="true">
 <goal name="rarray&#39;vc" expl="VC for rarray" proved="true">
 <proof prover="0"><result status="valid" time="0.000000" steps="10"/></proof>
 </goal>
 <goal name="make&#39;vc" expl="VC for make" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="make&#39;vc.0" expl="array creation size" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="0"/></proof>
  </goal>
  <goal name="make&#39;vc.1" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="4"/></proof>
  </goal>
  <goal name="make&#39;vc.2" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="5"/></proof>
  </goal>
  <goal name="make&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="16"/></proof>
  </goal>
  <goal name="make&#39;vc.4" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="16"/></proof>
  </goal>
  <goal name="make&#39;vc.5" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="22"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="mixfix []&#39;vc" expl="VC for mixfix []" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="mixfix []&#39;vc.0" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="12"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="mixfix []&lt;-&#39;vc" expl="VC for mixfix []&lt;-" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="mixfix []&lt;-&#39;vc.0" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="12"/></proof>
  </goal>
  <goal name="mixfix []&lt;-&#39;vc.1" expl="type invariant" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="22"/></proof>
  </goal>
  <goal name="mixfix []&lt;-&#39;vc.2" expl="type invariant" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="50"/></proof>
  </goal>
  <goal name="mixfix []&lt;-&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="26"/></proof>
  </goal>
 </transf>
 </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="0"><result status="valid" time="0.000000" steps="21"/></proof>
  </goal>
  <goal name="resize&#39;vc.1" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="14"/></proof>
  </goal>
  <goal name="resize&#39;vc.2" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="27"/></proof>
  </goal>
  <goal name="resize&#39;vc.3" expl="type invariant" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="43"/></proof>
  </goal>
  <goal name="resize&#39;vc.4" expl="type invariant" proved="true">
  <proof prover="0"><result status="valid" time="0.020000" steps="59"/></proof>
  </goal>
  <goal name="resize&#39;vc.5" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="32"/></proof>
  </goal>
  <goal name="resize&#39;vc.6" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="62"/></proof>
  </goal>
  <goal name="resize&#39;vc.7" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="10"/></proof>
  </goal>
  <goal name="resize&#39;vc.8" expl="type invariant" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="22"/></proof>
  </goal>
  <goal name="resize&#39;vc.9" expl="type invariant" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="30"/></proof>
  </goal>
  <goal name="resize&#39;vc.10" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="28"/></proof>
  </goal>
  <goal name="resize&#39;vc.11" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="48"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="append&#39;vc" expl="VC for append" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="append&#39;vc.0" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="14"/></proof>
  </goal>
  <goal name="append&#39;vc.1" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="25"/></proof>
  </goal>
  <goal name="append&#39;vc.2" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="30"/></proof>
  </goal>
  <goal name="append&#39;vc.3" expl="type invariant" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="37"/></proof>
  </goal>
  <goal name="append&#39;vc.4" expl="type invariant" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="55"/></proof>
  </goal>
  <goal name="append&#39;vc.5" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="34"/></proof>
  </goal>
  <goal name="append&#39;vc.6" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.020000" steps="97"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
<theory name="Test" proved="true">
 <goal name="test1&#39;vc" expl="VC for test1" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="test1&#39;vc.0" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="0"/></proof>
  </goal>
  <goal name="test1&#39;vc.1" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="10"/></proof>
  </goal>
  <goal name="test1&#39;vc.2" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="10"/></proof>
  </goal>
  <goal name="test1&#39;vc.3" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="24"/></proof>
  </goal>
  <goal name="test1&#39;vc.4" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="57"/></proof>
  </goal>
  <goal name="test1&#39;vc.5" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="36"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="test2&#39;vc" expl="VC for test2" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="test2&#39;vc.0" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="0"/></proof>
  </goal>
  <goal name="test2&#39;vc.1" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="10"/></proof>
  </goal>
  <goal name="test2&#39;vc.2" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="24"/></proof>
  </goal>
  <goal name="test2&#39;vc.3" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="34"/></proof>
  </goal>
  <goal name="test2&#39;vc.4" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="58"/></proof>
  </goal>
  <goal name="test2&#39;vc.5" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="97"/></proof>
  </goal>
  <goal name="test2&#39;vc.6" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="61"/></proof>
  </goal>
  <goal name="test2&#39;vc.7" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="104"/></proof>
  </goal>
  <goal name="test2&#39;vc.8" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="63"/></proof>
  </goal>
  <goal name="test2&#39;vc.9" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="65"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
