<?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="Alt-Ergo" version="2.1.0" timelimit="1" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="naive.mlw"/>
<theory name="MatrixMultiplication" proved="true">
 <goal name="mult_naive&#39;vc" expl="VC for mult_naive" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="mult_naive&#39;vc.0" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="3"/></proof>
  </goal>
  <goal name="mult_naive&#39;vc.1" expl="loop invariant init" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="18"/></proof>
  </goal>
  <goal name="mult_naive&#39;vc.2" expl="loop invariant init" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="8"/></proof>
  </goal>
  <goal name="mult_naive&#39;vc.3" expl="loop invariant init" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="0"/></proof>
  </goal>
  <goal name="mult_naive&#39;vc.4" expl="loop invariant init" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="24"/></proof>
  </goal>
  <goal name="mult_naive&#39;vc.5" expl="loop invariant init" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="0"/></proof>
  </goal>
  <goal name="mult_naive&#39;vc.6" expl="loop invariant init" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="28"/></proof>
  </goal>
  <goal name="mult_naive&#39;vc.7" expl="index in matrix bounds" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="38"/></proof>
  </goal>
  <goal name="mult_naive&#39;vc.8" expl="index in matrix bounds" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="38"/></proof>
  </goal>
  <goal name="mult_naive&#39;vc.9" expl="index in matrix bounds" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="38"/></proof>
  </goal>
  <goal name="mult_naive&#39;vc.10" expl="index in matrix bounds" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="38"/></proof>
  </goal>
  <goal name="mult_naive&#39;vc.11" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="105"/></proof>
  </goal>
  <goal name="mult_naive&#39;vc.12" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="179"/></proof>
  </goal>
  <goal name="mult_naive&#39;vc.13" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="44"/></proof>
  </goal>
  <goal name="mult_naive&#39;vc.14" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.050000" steps="38"/></proof>
  </goal>
  <goal name="mult_naive&#39;vc.15" expl="out of loop bounds" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="29"/></proof>
  </goal>
  <goal name="mult_naive&#39;vc.16" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="48"/></proof>
  </goal>
  <goal name="mult_naive&#39;vc.17" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="120"/></proof>
  </goal>
  <goal name="mult_naive&#39;vc.18" expl="out of loop bounds" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="19"/></proof>
  </goal>
  <goal name="mult_naive&#39;vc.19" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="12"/></proof>
  </goal>
  <goal name="mult_naive&#39;vc.20" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="41"/></proof>
  </goal>
  <goal name="mult_naive&#39;vc.21" expl="out of loop bounds" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="10"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
