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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="Z3" version="4.8.4" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="2" name="Alt-Ergo" version="2.4.2" timelimit="1" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="gnome_sort.mlw"/>
<theory name="GnomeSort" proved="true">
<goal name="gnome_sort'vc" expl="VC for gnome_sort" proved="true">
<transf name="split_goal_right" proved="true" >
<goal name="gnome_sort'vc.0" expl="loop invariant init" proved="true">
<proof prover="1"><result status="valid" time="0.010000" steps="45370"/></proof>
</goal>
<goal name="gnome_sort'vc.1" expl="loop invariant init" proved="true">
<proof prover="1"><result status="valid" time="0.000000" steps="48084"/></proof>
</goal>
<goal name="gnome_sort'vc.2" expl="loop invariant init" proved="true">
<proof prover="1"><result status="valid" time="0.010000" steps="48663"/></proof>
</goal>
<goal name="gnome_sort'vc.3" expl="index in array bounds" proved="true">
<proof prover="1"><result status="valid" time="0.010000" steps="48947"/></proof>
</goal>
<goal name="gnome_sort'vc.4" expl="index in array bounds" proved="true">
<proof prover="1"><result status="valid" time="0.010000" steps="48395"/></proof>
</goal>
<goal name="gnome_sort'vc.5" expl="loop variant decrease" proved="true">
<proof prover="1"><result status="valid" time="0.080000" steps="49330"/></proof>
</goal>
<goal name="gnome_sort'vc.6" expl="loop invariant preservation" proved="true">
<proof prover="1"><result status="valid" time="0.010000" steps="49632"/></proof>
</goal>
<goal name="gnome_sort'vc.7" expl="loop invariant preservation" proved="true">
<proof prover="2"><result status="valid" time="0.010000" steps="90"/></proof>
</goal>
<goal name="gnome_sort'vc.8" expl="loop invariant preservation" proved="true">
<proof prover="1"><result status="valid" time="0.010000" steps="49190"/></proof>
</goal>
<goal name="gnome_sort'vc.9" expl="precondition" proved="true">
<proof prover="1"><result status="valid" time="0.010000" steps="49546"/></proof>
</goal>
<goal name="gnome_sort'vc.10" expl="loop variant decrease" proved="true">
<proof prover="1"><result status="valid" time="0.130000" steps="407901"/></proof>
</goal>
<goal name="gnome_sort'vc.11" expl="loop invariant preservation" proved="true">
<proof prover="1"><result status="valid" time="0.010000" steps="50067"/></proof>
</goal>
<goal name="gnome_sort'vc.12" expl="loop invariant preservation" proved="true">
<proof prover="1"><result status="valid" time="0.418590" steps="790978"/></proof>
</goal>
<goal name="gnome_sort'vc.13" expl="loop invariant preservation" proved="true">
<proof prover="1"><result status="valid" time="0.020000" steps="62336"/></proof>
</goal>
<goal name="gnome_sort'vc.14" expl="postcondition" proved="true">
<proof prover="1"><result status="valid" time="0.010000" steps="49116"/></proof>
</goal>
<goal name="gnome_sort'vc.15" expl="postcondition" proved="true">
<proof prover="1"><result status="valid" time="0.010000" steps="48605"/></proof>
</goal>
</transf>
</goal>
</theory>
</file>
</why3session>
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