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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="CVC5" version="1.0.5" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="1" name="Z3" version="4.12.2" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="2" name="Alt-Ergo" version="2.5.4" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="3" name="CVC4" version="1.8" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name=".."/><path name=".."/><path name=".."/><path name="stdlib"/>
<path name="mach"/><path name="list.mlw"/>
<theory name="OCaml" proved="true">
<goal name="length_defensive'vc" expl="VC for length_defensive" proved="true">
<transf name="split_vc" proved="true" >
<goal name="length_defensive'vc.0" expl="integer overflow" proved="true">
<proof prover="0"><result status="valid" time="0.032154" steps="1886"/></proof>
</goal>
<goal name="length_defensive'vc.1" expl="variant decrease" proved="true">
<proof prover="3"><result status="valid" time="0.034768" steps="3547"/></proof>
</goal>
<goal name="length_defensive'vc.2" expl="precondition" proved="true">
<proof prover="1"><result status="valid" time="0.021752" steps="9672"/></proof>
</goal>
<goal name="length_defensive'vc.3" expl="postcondition" proved="true">
<proof prover="2"><result status="valid" time="0.030809" steps="133"/></proof>
</goal>
<goal name="length_defensive'vc.4" expl="precondition" proved="true">
<proof prover="1"><result status="valid" time="0.015949" steps="790"/></proof>
</goal>
<goal name="length_defensive'vc.5" expl="postcondition" proved="true">
<proof prover="1"><result status="valid" time="0.016597" steps="801"/></proof>
</goal>
</transf>
</goal>
<goal name="length_peano'vc" expl="VC for length_peano" proved="true">
<proof prover="0"><result status="valid" time="0.035874" steps="2336"/></proof>
</goal>
<goal name="length'vc" expl="VC for length" proved="true">
<proof prover="0"><result status="valid" time="0.022849" steps="1442"/></proof>
</goal>
</theory>
</file>
</why3session>
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