<?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="2.3.0" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="2" name="CVC3" version="2.4.1" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="3" name="Yices" version="1.0.38" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="5" name="Z3" version="4.6.0" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="6" name="Alt-Ergo" version="2.0.0" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="7" name="CVC4" version="1.5" timelimit="6" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="euler002.mlw"/>
<theory name="FibOnlyEven" proved="true">
 <goal name="fib_even_3n&#39;vc" expl="VC for fib_even_3n" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="fib_even_3n&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.00"/></proof>
  <proof prover="3"><result status="valid" time="0.00"/></proof>
  <proof prover="5"><result status="valid" time="0.01" steps="388"/></proof>
  <proof prover="6"><result status="valid" time="0.00" steps="5"/></proof>
  <proof prover="7" timelimit="5"><result status="valid" time="0.01" steps="2047"/></proof>
  </goal>
  <goal name="fib_even_3n&#39;vc.1" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.00"/></proof>
  <proof prover="3"><result status="valid" time="0.00"/></proof>
  <proof prover="5"><result status="valid" time="0.01" steps="6076"/></proof>
  <proof prover="6"><result status="valid" time="0.00" steps="5"/></proof>
  <proof prover="7" timelimit="5"><result status="valid" time="0.01" steps="2033"/></proof>
  </goal>
  <goal name="fib_even_3n&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.21"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="fib_even0" proved="true">
 <proof prover="6" timelimit="6"><result status="valid" time="0.02" steps="4"/></proof>
 </goal>
 <goal name="fib_even1" proved="true">
 <proof prover="7"><result status="valid" time="0.03" steps="3772"/></proof>
 </goal>
 <goal name="fib_evenn" proved="true">
 <proof prover="7"><result status="valid" time="0.06" steps="6238"/></proof>
 </goal>
</theory>
<theory name="Solve" proved="true">
 <goal name="f&#39;vc" expl="VC for f" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="f&#39;vc.0" expl="loop invariant init" proved="true">
  <proof prover="6"><result status="valid" time="0.00" steps="6"/></proof>
  </goal>
  <goal name="f&#39;vc.1" expl="loop invariant init" proved="true">
  <proof prover="6"><result status="valid" time="0.00" steps="5"/></proof>
  </goal>
  <goal name="f&#39;vc.2" expl="loop invariant init" proved="true">
  <proof prover="6"><result status="valid" time="0.00" steps="7"/></proof>
  </goal>
  <goal name="f&#39;vc.3" expl="loop invariant init" proved="true">
  <proof prover="6"><result status="valid" time="0.00" steps="7"/></proof>
  </goal>
  <goal name="f&#39;vc.4" expl="loop invariant init" proved="true">
  <proof prover="6"><result status="valid" time="0.00" steps="7"/></proof>
  </goal>
  <goal name="f&#39;vc.5" expl="loop invariant init" proved="true">
  <proof prover="6"><result status="valid" time="0.00" steps="9"/></proof>
  </goal>
  <goal name="f&#39;vc.6" expl="loop invariant init" proved="true">
  <proof prover="6"><result status="valid" time="0.00" steps="10"/></proof>
  </goal>
  <goal name="f&#39;vc.7" expl="loop invariant init" proved="true">
  <proof prover="6"><result status="valid" time="0.00" steps="10"/></proof>
  </goal>
  <goal name="f&#39;vc.8" expl="loop variant decrease" proved="true">
  <proof prover="6"><result status="valid" time="0.00" steps="21"/></proof>
  </goal>
  <goal name="f&#39;vc.9" expl="loop invariant preservation" proved="true">
  <proof prover="6"><result status="valid" time="0.00" steps="21"/></proof>
  </goal>
  <goal name="f&#39;vc.10" expl="loop invariant preservation" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="22"/></proof>
  </goal>
  <goal name="f&#39;vc.11" expl="loop invariant preservation" proved="true">
  <proof prover="6"><result status="valid" time="0.00" steps="23"/></proof>
  </goal>
  <goal name="f&#39;vc.12" expl="loop invariant preservation" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="24"/></proof>
  </goal>
  <goal name="f&#39;vc.13" expl="loop invariant preservation" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="27"/></proof>
  </goal>
  <goal name="f&#39;vc.14" expl="loop invariant preservation" proved="true">
  <proof prover="5" timelimit="1"><result status="valid" time="0.05" steps="215623"/></proof>
  <proof prover="6"><result status="timeout" time="5.00"/></proof>
  </goal>
  <goal name="f&#39;vc.15" expl="loop invariant preservation" proved="true">
  <proof prover="2" timelimit="60"><result status="valid" time="10.04"/></proof>
  </goal>
  <goal name="f&#39;vc.16" expl="loop invariant preservation" proved="true">
  <proof prover="6"><result status="valid" time="0.01" steps="28"/></proof>
  </goal>
  <goal name="f&#39;vc.17" expl="postcondition" proved="true">
  <proof prover="5"><result status="valid" time="0.01" steps="12827"/></proof>
  <proof prover="6"><result status="valid" time="0.01" steps="20"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="run&#39;vc" expl="VC for run" proved="true">
 <proof prover="6"><result status="valid" time="0.00" steps="5"/></proof>
 </goal>
 <goal name="bench&#39;vc" expl="VC for bench" proved="true">
 <proof prover="0"><result status="valid" time="0.00" steps="8"/></proof>
 </goal>
</theory>
</file>
</why3session>
