<?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="1" name="Alt-Ergo" version="2.3.3" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="2" name="Z3" version="4.12.2" 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="CVC5" version="1.0.5" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="7" name="CVC4" version="1.5" timelimit="5" 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="1"><result status="valid" time="0.000000" steps="8"/></proof>
  <proof prover="2"><result status="valid" time="0.010000" steps="143"/></proof>
  <proof prover="3"><result status="valid" time="0.000000"/></proof>
  <proof prover="5"><result status="valid" time="0.000000" steps="210"/></proof>
  <proof prover="7"><result status="valid" time="0.010000" steps="2047"/></proof>
  </goal>
  <goal name="fib_even_3n&#39;vc.1" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="8"/></proof>
  <proof prover="2"><result status="valid" time="0.010000" steps="1006"/></proof>
  <proof prover="3"><result status="valid" time="0.000000"/></proof>
  <proof prover="5"><result status="valid" time="0.000000" steps="198"/></proof>
  <proof prover="7"><result status="valid" time="0.010000" steps="2033"/></proof>
  </goal>
  <goal name="fib_even_3n&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="5"><result status="valid" time="0.040637" steps="7821"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="fib_even0" proved="true">
 <proof prover="2" timelimit="6"><result status="valid" time="0.010000" steps="7471"/></proof>
 </goal>
 <goal name="fib_even1" proved="true">
 <proof prover="7" timelimit="6"><result status="valid" time="0.030000" steps="3772"/></proof>
 </goal>
 <goal name="fib_evenn" proved="true">
 <proof prover="7" timelimit="6"><result status="valid" time="0.060000" 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="2"><result status="valid" time="0.010000" steps="1169"/></proof>
  </goal>
  <goal name="f&#39;vc.1" expl="loop invariant init" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="1153"/></proof>
  </goal>
  <goal name="f&#39;vc.2" expl="loop invariant init" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="1715"/></proof>
  </goal>
  <goal name="f&#39;vc.3" expl="loop invariant init" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="1205"/></proof>
  </goal>
  <goal name="f&#39;vc.4" expl="loop invariant init" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="1761"/></proof>
  </goal>
  <goal name="f&#39;vc.5" expl="loop invariant init" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="1245"/></proof>
  </goal>
  <goal name="f&#39;vc.6" expl="loop invariant init" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="10412"/></proof>
  </goal>
  <goal name="f&#39;vc.7" expl="loop invariant init" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="1277"/></proof>
  </goal>
  <goal name="f&#39;vc.8" expl="loop variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="11538"/></proof>
  </goal>
  <goal name="f&#39;vc.9" expl="loop invariant preservation" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="11237"/></proof>
  </goal>
  <goal name="f&#39;vc.10" expl="loop invariant preservation" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="11418"/></proof>
  </goal>
  <goal name="f&#39;vc.11" expl="loop invariant preservation" proved="true">
  <proof prover="2"><result status="valid" time="0.007836" steps="2091"/></proof>
  </goal>
  <goal name="f&#39;vc.12" expl="loop invariant preservation" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="2217"/></proof>
  </goal>
  <goal name="f&#39;vc.13" expl="loop invariant preservation" proved="true">
  <proof prover="2"><result status="valid" time="0.015259" steps="23095"/></proof>
  </goal>
  <goal name="f&#39;vc.14" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="timeout" time="5.000000" steps="2531"/></proof>
  <proof prover="2" timelimit="1"><result status="valid" time="0.020000" steps="31292"/></proof>
  </goal>
  <goal name="f&#39;vc.15" expl="loop invariant preservation" proved="true">
  <proof prover="5" timelimit="60"><result status="valid" time="0.737194" steps="45846"/></proof>
  </goal>
  <goal name="f&#39;vc.16" expl="loop invariant preservation" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="14554"/></proof>
  </goal>
  <goal name="f&#39;vc.17" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="30"/></proof>
  <proof prover="2"><result status="valid" time="0.010000" steps="15024"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="run&#39;vc" expl="VC for run" proved="true">
 <proof prover="2"><result status="valid" time="0.010000" steps="1157"/></proof>
 </goal>
 <goal name="bench&#39;vc" expl="VC for bench" proved="true">
 <proof prover="0"><result status="valid" time="0.000000" steps="8"/></proof>
 </goal>
</theory>
</file>
</why3session>
