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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="1" name="Alt-Ergo" version="2.2.0" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="2" name="Eprover" version="1.8-001" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="3" name="CVC4" version="1.6" timelimit="1" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="remove_duplicate_hash.mlw"/>
<theory name="RemoveDuplicate" proved="true">
<goal name="remove_duplicate'vc" expl="VC for remove_duplicate" proved="true">
<transf name="split_vc" proved="true" >
<goal name="remove_duplicate'vc.0" expl="loop invariant init" proved="true">
<proof prover="3"><result status="valid" time="0.040000" steps="11599"/></proof>
</goal>
<goal name="remove_duplicate'vc.1" expl="index in array bounds" proved="true">
<proof prover="3"><result status="valid" time="0.020000" steps="10171"/></proof>
</goal>
<goal name="remove_duplicate'vc.2" expl="loop invariant preservation" proved="true">
<proof prover="1"><result status="valid" time="0.030000" steps="350"/></proof>
</goal>
<goal name="remove_duplicate'vc.3" expl="index in array bounds" proved="true">
<proof prover="3"><result status="valid" time="0.020000" steps="10147"/></proof>
</goal>
<goal name="remove_duplicate'vc.4" expl="array creation size" proved="true">
<proof prover="3"><result status="valid" time="0.040000" steps="11436"/></proof>
</goal>
<goal name="remove_duplicate'vc.5" expl="loop invariant init" proved="true">
<proof prover="3"><result status="valid" time="0.040000" steps="12074"/></proof>
</goal>
<goal name="remove_duplicate'vc.6" expl="loop invariant init" proved="true">
<proof prover="3"><result status="valid" time="0.050000" steps="12153"/></proof>
</goal>
<goal name="remove_duplicate'vc.7" expl="loop invariant init" proved="true">
<proof prover="3"><result status="valid" time="0.040000" steps="12246"/></proof>
</goal>
<goal name="remove_duplicate'vc.8" expl="loop invariant init" proved="true">
<proof prover="3"><result status="valid" time="0.040000" steps="12367"/></proof>
</goal>
<goal name="remove_duplicate'vc.9" expl="loop invariant init" proved="true">
<proof prover="3"><result status="valid" time="0.040000" steps="12837"/></proof>
</goal>
<goal name="remove_duplicate'vc.10" expl="index in array bounds" proved="true">
<proof prover="3"><result status="valid" time="0.040000" steps="11335"/></proof>
</goal>
<goal name="remove_duplicate'vc.11" expl="index in array bounds" proved="true">
<proof prover="3"><result status="valid" time="0.020000" steps="11357"/></proof>
</goal>
<goal name="remove_duplicate'vc.12" expl="index in array bounds" proved="true">
<proof prover="3"><result status="valid" time="0.020000" steps="11448"/></proof>
</goal>
<goal name="remove_duplicate'vc.13" expl="index in array bounds" proved="true">
<proof prover="1"><result status="valid" time="0.020000" steps="124"/></proof>
</goal>
<goal name="remove_duplicate'vc.14" expl="loop invariant preservation" proved="true">
<proof prover="1"><result status="valid" time="0.040000" steps="536"/></proof>
</goal>
<goal name="remove_duplicate'vc.15" expl="loop invariant preservation" proved="true">
<proof prover="1"><result status="valid" time="0.120000" steps="1186"/></proof>
</goal>
<goal name="remove_duplicate'vc.16" expl="loop invariant preservation" proved="true">
<proof prover="1"><result status="valid" time="0.120000" steps="534"/></proof>
</goal>
<goal name="remove_duplicate'vc.17" expl="loop invariant preservation" proved="true">
<proof prover="1"><result status="valid" time="0.020000" steps="156"/></proof>
</goal>
<goal name="remove_duplicate'vc.18" expl="loop invariant preservation" proved="true">
<proof prover="3"><result status="valid" time="0.290000" steps="37804"/></proof>
</goal>
<goal name="remove_duplicate'vc.19" expl="loop invariant preservation" proved="true">
<proof prover="3"><result status="valid" time="0.410000" steps="53375"/></proof>
</goal>
<goal name="remove_duplicate'vc.20" expl="loop invariant preservation" proved="true">
<proof prover="3"><result status="valid" time="0.040000" steps="12302"/></proof>
</goal>
<goal name="remove_duplicate'vc.21" expl="loop invariant preservation" proved="true">
<proof prover="3"><result status="valid" time="0.020000" steps="11422"/></proof>
</goal>
<goal name="remove_duplicate'vc.22" expl="loop invariant preservation" proved="true">
<proof prover="3"><result status="valid" time="0.020000" steps="11437"/></proof>
</goal>
<goal name="remove_duplicate'vc.23" expl="loop invariant preservation" proved="true">
<proof prover="3"><result status="valid" time="0.020000" steps="11441"/></proof>
</goal>
<goal name="remove_duplicate'vc.24" expl="postcondition" proved="true">
<proof prover="2"><result status="valid" time="0.900000"/></proof>
</goal>
<goal name="remove_duplicate'vc.25" expl="postcondition" proved="true">
<proof prover="2"><result status="valid" time="5.804680"/></proof>
</goal>
<goal name="remove_duplicate'vc.26" expl="out of loop bounds" proved="true">
<proof prover="3"><result status="valid" time="0.020000" steps="10794"/></proof>
</goal>
<goal name="remove_duplicate'vc.27" expl="out of loop bounds" proved="true">
<proof prover="3"><result status="valid" time="0.050000" steps="16651"/></proof>
</goal>
</transf>
</goal>
</theory>
</file>
</why3session>
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