<?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="Eprover" version="2.0" timelimit="10" steplimit="0" memlimit="1000"/>
<prover id="1" name="CVC4" version="1.5" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="2" name="Alt-Ergo" version="2.0.0" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="3" name="Alt-Ergo" version="2.3.0" timelimit="1" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="vstte10_max_sum.mlw"/>
<theory name="MaxAndSum" proved="true">
 <goal name="max_sum&#39;vc" expl="VC for max_sum" proved="true">
 <proof prover="1" timelimit="6"><result status="valid" time="0.05" steps="13428"/></proof>
 </goal>
</theory>
<theory name="MaxAndSum2" proved="true">
 <goal name="max_sum&#39;vc" expl="VC for max_sum" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="max_sum&#39;vc.0" expl="loop invariant init" proved="true">
  <proof prover="3"><result status="valid" time="0.01" steps="9"/></proof>
  </goal>
  <goal name="max_sum&#39;vc.1" expl="loop invariant init" proved="true">
  <proof prover="3"><result status="valid" time="0.01" steps="13"/></proof>
  </goal>
  <goal name="max_sum&#39;vc.2" expl="loop invariant init" proved="true">
  <proof prover="3"><result status="valid" time="0.01" steps="8"/></proof>
  </goal>
  <goal name="max_sum&#39;vc.3" expl="index in array bounds" proved="true">
  <proof prover="3"><result status="valid" time="0.01" steps="14"/></proof>
  </goal>
  <goal name="max_sum&#39;vc.4" expl="index in array bounds" proved="true">
  <proof prover="3"><result status="valid" time="0.01" steps="18"/></proof>
  </goal>
  <goal name="max_sum&#39;vc.5" expl="index in array bounds" proved="true">
  <proof prover="3"><result status="valid" time="0.01" steps="20"/></proof>
  </goal>
  <goal name="max_sum&#39;vc.6" expl="loop invariant preservation" proved="true">
  <proof prover="3"><result status="valid" time="0.02" steps="38"/></proof>
  </goal>
  <goal name="max_sum&#39;vc.7" expl="loop invariant preservation" proved="true">
  <proof prover="3"><result status="valid" time="0.06" steps="197"/></proof>
  </goal>
  <goal name="max_sum&#39;vc.8" expl="loop invariant preservation" proved="true">
  <transf name="assert" proved="true" arg1="(s1 &lt;= i * m)">
   <goal name="max_sum&#39;vc.8.0" expl="asserted formula" proved="true">
   <transf name="assert" proved="true" arg1="(i * m1 &lt;= i * m)">
    <goal name="max_sum&#39;vc.8.0.0" expl="asserted formula" proved="true">
    <proof prover="0"><result status="valid" time="2.71"/></proof>
    </goal>
    <goal name="max_sum&#39;vc.8.0.1" expl="asserted formula" proved="true">
    <proof prover="3"><result status="valid" time="0.01" steps="28"/></proof>
    </goal>
   </transf>
   </goal>
   <goal name="max_sum&#39;vc.8.1" expl="loop invariant preservation" proved="true">
   <proof prover="3"><result status="valid" time="0.01" steps="28"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="max_sum&#39;vc.9" expl="index in array bounds" proved="true">
  <proof prover="3"><result status="valid" time="0.00" steps="18"/></proof>
  </goal>
  <goal name="max_sum&#39;vc.10" expl="loop invariant preservation" proved="true">
  <proof prover="3"><result status="valid" time="0.01" steps="36"/></proof>
  </goal>
  <goal name="max_sum&#39;vc.11" expl="loop invariant preservation" proved="true">
  <proof prover="3"><result status="valid" time="0.08" steps="200"/></proof>
  </goal>
  <goal name="max_sum&#39;vc.12" expl="loop invariant preservation" proved="true">
  <proof prover="3"><result status="valid" time="0.01" steps="24"/></proof>
  </goal>
  <goal name="max_sum&#39;vc.13" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.00" steps="10"/></proof>
  </goal>
  <goal name="max_sum&#39;vc.14" expl="VC for max_sum" proved="true">
  <proof prover="3"><result status="valid" time="0.00" steps="5"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
<theory name="TestCase" proved="true">
 <goal name="test&#39;vc" expl="VC for test" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="test&#39;vc.0" expl="array creation size" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="4002"/></proof>
  </goal>
  <goal name="test&#39;vc.1" expl="index in array bounds" proved="true">
  <proof prover="1"><result status="valid" time="0.00" steps="4929"/></proof>
  </goal>
  <goal name="test&#39;vc.2" expl="index in array bounds" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="4725"/></proof>
  </goal>
  <goal name="test&#39;vc.3" expl="index in array bounds" proved="true">
  <proof prover="1"><result status="valid" time="0.02" steps="4962"/></proof>
  </goal>
  <goal name="test&#39;vc.4" expl="index in array bounds" proved="true">
  <proof prover="1"><result status="valid" time="0.02" steps="5239"/></proof>
  </goal>
  <goal name="test&#39;vc.5" expl="index in array bounds" proved="true">
  <proof prover="1"><result status="valid" time="0.01" steps="5556"/></proof>
  </goal>
  <goal name="test&#39;vc.6" expl="index in array bounds" proved="true">
  <proof prover="1"><result status="valid" time="0.02" steps="5913"/></proof>
  </goal>
  <goal name="test&#39;vc.7" expl="index in array bounds" proved="true">
  <proof prover="1"><result status="valid" time="0.02" steps="6310"/></proof>
  </goal>
  <goal name="test&#39;vc.8" expl="index in array bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.02" steps="23"/></proof>
  </goal>
  <goal name="test&#39;vc.9" expl="index in array bounds" proved="true">
  <proof prover="1"><result status="valid" time="0.02" steps="7224"/></proof>
  </goal>
  <goal name="test&#39;vc.10" expl="index in array bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.10" steps="29"/></proof>
  </goal>
  <goal name="test&#39;vc.11" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.02" steps="13214"/></proof>
  </goal>
  <goal name="test&#39;vc.12" expl="assertion" proved="true">
  <proof prover="1"><result status="valid" time="0.63" steps="72132"/></proof>
  </goal>
  <goal name="test&#39;vc.13" expl="assertion" proved="true">
  <proof prover="3"><result status="valid" time="0.16" steps="350"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="test_case&#39;vc" expl="VC for test_case" proved="true">
 <proof prover="3"><result status="valid" time="0.00" steps="0"/></proof>
 </goal>
</theory>
</file>
</why3session>
