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<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
"https://www.why3.org/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="2.1.0" 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'vc" expl="VC for is_empty" proved="true">
<proof prover="0"><result status="valid" time="0.000000" 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="1"><result status="valid" time="0.010000" steps="15"/></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="1"><result status="valid" time="0.010000" steps="20"/></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="1"><result status="valid" time="0.010000" steps="23"/></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="1" timelimit="5"><result status="valid" time="0.010000" steps="28"/></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="1"><result status="valid" time="0.010000" steps="64"/></proof>
</goal>
</transf>
</goal>
</theory>
<theory name="AVL" proved="true">
<goal name="height'vc" expl="VC for height" proved="true">
<proof prover="0" timelimit="30"><result status="valid" time="0.054806" steps="25"/></proof>
</goal>
</theory>
</file>
</why3session>
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