<?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="2.0.0" timelimit="10" steplimit="0" memlimit="1000"/>
<prover id="4" name="CVC4" version="1.4" timelimit="6" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="sf.mlw"/>
<theory name="HoareLogic" proved="true">
 <goal name="slow_subtraction&#39;vc" expl="VC for slow_subtraction" proved="true">
 <proof prover="1"><result status="valid" time="0.00" steps="8"/></proof>
 </goal>
 <goal name="reduce_to_zero&#39;vc" expl="VC for reduce_to_zero" proved="true">
 <proof prover="1"><result status="valid" time="0.00" steps="6"/></proof>
 </goal>
 <goal name="slow_addition&#39;vc" expl="VC for slow_addition" proved="true">
 <proof prover="1"><result status="valid" time="0.00" steps="8"/></proof>
 </goal>
 <goal name="even_noneg" proved="true">
 <transf name="induction_pr" proved="true" >
  <goal name="even_noneg.0" proved="true">
  <proof prover="1"><result status="valid" time="0.00" steps="3"/></proof>
  </goal>
  <goal name="even_noneg.1" proved="true">
  <proof prover="1"><result status="valid" time="0.00" steps="5"/></proof>
  <proof prover="4"><result status="valid" time="0.00"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="even_not_odd" proved="true">
 <transf name="induction_pr" proved="true" >
  <goal name="even_not_odd.0" proved="true">
  <proof prover="1"><result status="valid" time="0.00" steps="7"/></proof>
  </goal>
  <goal name="even_not_odd.1" proved="true">
  <proof prover="1"><result status="valid" time="0.00" steps="13"/></proof>
  <proof prover="4"><result status="valid" time="0.00"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="parity&#39;vc" expl="VC for parity" proved="true">
 <proof prover="1"><result status="valid" time="0.01" steps="59"/></proof>
 </goal>
 <goal name="sqrt&#39;vc" expl="VC for sqrt" proved="true">
 <proof prover="1"><result status="valid" time="0.00" steps="11"/></proof>
 </goal>
 <goal name="factorial&#39;vc" expl="VC for factorial" proved="true">
 <proof prover="1"><result status="valid" time="0.01" steps="30"/></proof>
 </goal>
</theory>
<theory name="MoreHoareLogic" proved="true">
 <goal name="list_sum&#39;vc" expl="VC for list_sum" proved="true">
 <proof prover="1"><result status="valid" time="0.02" steps="127"/></proof>
 </goal>
 <goal name="list_member&#39;vc" expl="VC for list_member" proved="true">
 <proof prover="1"><result status="valid" time="0.12" steps="846"/></proof>
 </goal>
</theory>
</file>
</why3session>
