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<?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="2" name="Alt-Ergo" version="2.3.0" timelimit="1" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="mutual_recursion.mlw"/>
<theory name="Top" proved="true">
<goal name="f1'vc" expl="VC for f1" proved="true">
<proof prover="2"><result status="valid" time="0.000000" steps="4"/></proof>
</goal>
<goal name="f2'vc" expl="VC for f2" proved="true">
<proof prover="2"><result status="valid" time="0.010000" steps="4"/></proof>
</goal>
<goal name="f'vc" expl="VC for f" proved="true">
<transf name="split_vc" proved="true" >
<goal name="f'vc.0" expl="variant decrease" proved="true">
<proof prover="2"><result status="valid" time="0.000000" steps="4"/></proof>
</goal>
<goal name="f'vc.1" expl="precondition" proved="true">
<proof prover="2"><result status="valid" time="0.000000" steps="4"/></proof>
</goal>
<goal name="f'vc.2" expl="variant decrease" proved="true">
<proof prover="2"><result status="valid" time="0.000000" steps="4"/></proof>
</goal>
<goal name="f'vc.3" expl="precondition" proved="true">
<proof prover="2"><result status="valid" time="0.000000" steps="7"/></proof>
</goal>
<goal name="f'vc.4" expl="postcondition" proved="true">
<transf name="split_vc" proved="true" >
<goal name="f'vc.4.0" expl="postcondition" proved="true">
<proof prover="2"><result status="valid" time="0.000000" steps="6"/></proof>
</goal>
<goal name="f'vc.4.1" expl="postcondition" proved="true">
<transf name="split_vc" proved="true" >
<goal name="f'vc.4.1.0" expl="postcondition" proved="true">
<proof prover="2"><result status="valid" time="0.000000" steps="6"/></proof>
</goal>
<goal name="f'vc.4.1.1" expl="postcondition" proved="true">
<proof prover="2"><result status="valid" time="0.000000" steps="14"/></proof>
</goal>
</transf>
</goal>
<goal name="f'vc.4.2" expl="postcondition" proved="true">
<proof prover="2"><result status="valid" time="0.000000" steps="10"/></proof>
</goal>
</transf>
</goal>
</transf>
</goal>
<goal name="m'vc" expl="VC for m" proved="true">
<transf name="split_vc" proved="true" >
<goal name="m'vc.0" expl="variant decrease" proved="true">
<proof prover="2"><result status="valid" time="0.000000" steps="4"/></proof>
</goal>
<goal name="m'vc.1" expl="precondition" proved="true">
<proof prover="2"><result status="valid" time="0.000000" steps="4"/></proof>
</goal>
<goal name="m'vc.2" expl="variant decrease" proved="true">
<proof prover="2"><result status="valid" time="0.000000" steps="7"/></proof>
</goal>
<goal name="m'vc.3" expl="precondition" proved="true">
<proof prover="2"><result status="valid" time="0.000000" steps="4"/></proof>
</goal>
<goal name="m'vc.4" expl="postcondition" proved="true">
<transf name="split_vc" proved="true" >
<goal name="m'vc.4.0" expl="postcondition" proved="true">
<transf name="split_vc" proved="true" >
<goal name="m'vc.4.0.0" expl="postcondition" proved="true">
<proof prover="2"><result status="valid" time="0.000000" steps="6"/></proof>
</goal>
<goal name="m'vc.4.0.1" expl="postcondition" proved="true">
<proof prover="2"><result status="valid" time="0.000000" steps="6"/></proof>
</goal>
</transf>
</goal>
<goal name="m'vc.4.1" expl="postcondition" proved="true">
<proof prover="2"><result status="valid" time="0.000000" steps="10"/></proof>
</goal>
<goal name="m'vc.4.2" expl="postcondition" proved="true">
<proof prover="2"><result status="valid" time="0.000000" steps="10"/></proof>
</goal>
</transf>
</goal>
</transf>
</goal>
</theory>
</file>
</why3session>
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