<?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="Alt-Ergo" version="2.0.0" timelimit="6" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name=".."/><path name=".."/><path name="stdlib"/>
<path name="bintree.mlw"/>
<theory name="Tree" proved="true">
 <goal name="is_empty&#39;vc" expl="VC for is_empty" proved="true">
 <proof prover="0"><result status="valid" time="0.00" steps="14"/></proof>
 </goal>
</theory>
<theory name="Size" proved="true">
 <goal name="size_nonneg" proved="true">
 <transf name="induction_ty_lex" proved="true" >
  <goal name="size_nonneg.0" proved="true">
  <proof prover="2"><result status="valid" time="0.01" steps="6"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="size_empty" proved="true">
 <transf name="induction_ty_lex" proved="true" >
  <goal name="size_empty.0" proved="true">
  <proof prover="2"><result status="valid" time="0.01" steps="18"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
<theory name="Occ" proved="true">
 <goal name="occ_nonneg" proved="true">
 <transf name="induction_ty_lex" proved="true" >
  <goal name="occ_nonneg.0" proved="true">
  <proof prover="2"><result status="valid" time="0.01" steps="11"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
<theory name="Height" proved="true">
 <goal name="height_nonneg" proved="true">
 <transf name="induction_ty_lex" proved="true" >
  <goal name="height_nonneg.0" proved="true">
  <proof prover="2" timelimit="5"><result status="valid" time="0.01" steps="13"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
<theory name="InorderLength" proved="true">
 <goal name="inorder_length" proved="true">
 <transf name="induction_ty_lex" proved="true" >
  <goal name="inorder_length.0" proved="true">
  <proof prover="2"><result status="valid" time="0.01" steps="34"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
