mirror of
https://github.com/AdaCore/why3.git
synced 2026-02-12 12:34:55 -08:00
207 lines
11 KiB
XML
207 lines
11 KiB
XML
<?xml version="1.0" encoding="UTF-8"?>
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<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
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"http://why3.lri.fr/why3session.dtd">
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<why3session shape_version="6">
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<prover id="2" name="Alt-Ergo" version="2.3.3" timelimit="5" steplimit="0" memlimit="1000"/>
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<prover id="6" name="CVC4" version="1.8" timelimit="5" steplimit="0" memlimit="1000"/>
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<file format="whyml" proved="true">
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<path name=".."/><path name="mergesort_queue.mlw"/>
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<theory name="MergesortQueue" proved="true">
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<goal name="TO.Refl" proved="true">
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<proof prover="2"><result status="valid" time="0.010000" steps="6"/></proof>
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</goal>
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<goal name="TO.Trans" proved="true">
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<proof prover="2"><result status="valid" time="0.010000" steps="10"/></proof>
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</goal>
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<goal name="TO.Total" proved="true">
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<proof prover="2"><result status="valid" time="0.010000" steps="8"/></proof>
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</goal>
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<goal name="merge'vc" expl="VC for merge" proved="true">
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<transf name="split_vc" proved="true" >
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<goal name="merge'vc.0" expl="loop invariant init" proved="true">
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<proof prover="2"><result status="valid" time="0.010000" steps="36"/></proof>
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</goal>
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<goal name="merge'vc.1" expl="loop invariant init" proved="true">
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<proof prover="2"><result status="valid" time="0.010000" steps="32"/></proof>
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</goal>
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<goal name="merge'vc.2" expl="loop invariant init" proved="true">
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<proof prover="2"><result status="valid" time="0.010000" steps="34"/></proof>
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</goal>
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<goal name="merge'vc.3" expl="loop invariant init" proved="true">
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<proof prover="2"><result status="valid" time="0.010000" steps="14"/></proof>
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</goal>
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<goal name="merge'vc.4" expl="loop invariant init" proved="true">
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<proof prover="2"><result status="valid" time="0.020000" steps="51"/></proof>
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</goal>
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<goal name="merge'vc.5" expl="precondition" proved="true">
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<proof prover="2"><result status="valid" time="0.010000" steps="24"/></proof>
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</goal>
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<goal name="merge'vc.6" expl="loop variant decrease" proved="true">
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<proof prover="2"><result status="valid" time="0.030000" steps="98"/></proof>
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</goal>
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<goal name="merge'vc.7" expl="loop invariant preservation" proved="true">
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<proof prover="2"><result status="valid" time="0.190000" steps="777"/></proof>
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</goal>
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<goal name="merge'vc.8" expl="loop invariant preservation" proved="true">
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<proof prover="2"><result status="valid" time="0.020000" steps="87"/></proof>
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</goal>
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<goal name="merge'vc.9" expl="loop invariant preservation" proved="true">
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<proof prover="2"><result status="valid" time="0.070000" steps="443"/></proof>
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</goal>
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<goal name="merge'vc.10" expl="loop invariant preservation" proved="true">
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<proof prover="2"><result status="valid" time="0.030000" steps="89"/></proof>
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</goal>
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<goal name="merge'vc.11" expl="loop invariant preservation" proved="true">
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<proof prover="2"><result status="valid" time="0.030000" steps="122"/></proof>
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</goal>
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<goal name="merge'vc.12" expl="precondition" proved="true">
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<proof prover="2"><result status="valid" time="0.010000" steps="24"/></proof>
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</goal>
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<goal name="merge'vc.13" expl="loop variant decrease" proved="true">
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<proof prover="2"><result status="valid" time="0.020000" steps="98"/></proof>
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</goal>
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<goal name="merge'vc.14" expl="loop invariant preservation" proved="true">
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<proof prover="2"><result status="valid" time="0.200000" steps="745"/></proof>
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</goal>
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<goal name="merge'vc.15" expl="loop invariant preservation" proved="true">
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<proof prover="2"><result status="valid" time="0.070000" steps="425"/></proof>
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</goal>
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<goal name="merge'vc.16" expl="loop invariant preservation" proved="true">
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<proof prover="2"><result status="valid" time="0.020000" steps="89"/></proof>
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</goal>
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<goal name="merge'vc.17" expl="loop invariant preservation" proved="true">
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<proof prover="2"><result status="valid" time="0.030000" steps="89"/></proof>
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</goal>
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<goal name="merge'vc.18" expl="loop invariant preservation" proved="true">
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<proof prover="2"><result status="valid" time="0.030000" steps="122"/></proof>
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</goal>
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<goal name="merge'vc.19" expl="precondition" proved="true">
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<proof prover="2"><result status="valid" time="0.010000" steps="24"/></proof>
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</goal>
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<goal name="merge'vc.20" expl="precondition" proved="true">
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<proof prover="2"><result status="valid" time="0.010000" steps="24"/></proof>
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</goal>
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<goal name="merge'vc.21" expl="precondition" proved="true">
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<proof prover="2"><result status="valid" time="0.010000" steps="26"/></proof>
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</goal>
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<goal name="merge'vc.22" expl="loop variant decrease" proved="true">
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<proof prover="2"><result status="valid" time="0.020000" steps="131"/></proof>
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</goal>
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<goal name="merge'vc.23" expl="loop invariant preservation" proved="true">
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<proof prover="2"><result status="valid" time="0.180000" steps="864"/></proof>
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</goal>
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<goal name="merge'vc.24" expl="loop invariant preservation" proved="true">
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<proof prover="2"><result status="valid" time="0.120000" steps="431"/></proof>
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</goal>
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<goal name="merge'vc.25" expl="loop invariant preservation" proved="true">
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<proof prover="2"><result status="valid" time="7.898109" steps="26622"/></proof>
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</goal>
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<goal name="merge'vc.26" expl="loop invariant preservation" proved="true">
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<proof prover="2"><result status="valid" time="0.030000" steps="94"/></proof>
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</goal>
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<goal name="merge'vc.27" expl="loop invariant preservation" proved="true">
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<proof prover="2"><result status="valid" time="0.030000" steps="132"/></proof>
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</goal>
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<goal name="merge'vc.28" expl="precondition" proved="true">
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<proof prover="2"><result status="valid" time="0.010000" steps="26"/></proof>
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</goal>
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<goal name="merge'vc.29" expl="loop variant decrease" proved="true">
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<proof prover="2"><result status="valid" time="0.030000" steps="108"/></proof>
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</goal>
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<goal name="merge'vc.30" expl="loop invariant preservation" proved="true">
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<proof prover="2"><result status="valid" time="0.640000" steps="2941"/></proof>
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</goal>
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<goal name="merge'vc.31" expl="loop invariant preservation" proved="true">
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<proof prover="6"><result status="valid" time="0.750000" steps="82752"/></proof>
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</goal>
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<goal name="merge'vc.32" expl="loop invariant preservation" proved="true">
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<proof prover="2"><result status="valid" time="0.070000" steps="749"/></proof>
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</goal>
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<goal name="merge'vc.33" expl="loop invariant preservation" proved="true">
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<proof prover="2"><result status="valid" time="0.030000" steps="99"/></proof>
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</goal>
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<goal name="merge'vc.34" expl="loop invariant preservation" proved="true">
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<proof prover="2"><result status="valid" time="0.030000" steps="136"/></proof>
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</goal>
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<goal name="merge'vc.35" expl="postcondition" proved="true">
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<proof prover="2"><result status="valid" time="0.010000" steps="24"/></proof>
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</goal>
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<goal name="merge'vc.36" expl="postcondition" proved="true">
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<proof prover="2"><result status="valid" time="0.010000" steps="26"/></proof>
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</goal>
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<goal name="merge'vc.37" expl="postcondition" proved="true">
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<proof prover="6"><result status="valid" time="0.210000" steps="50768"/></proof>
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</goal>
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</transf>
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</goal>
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<goal name="mergesort'vc" expl="VC for mergesort" proved="true">
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<transf name="split_vc" proved="true" >
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<goal name="mergesort'vc.0" expl="loop invariant init" proved="true">
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<proof prover="2"><result status="valid" time="0.030000" steps="47"/></proof>
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</goal>
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<goal name="mergesort'vc.1" expl="loop invariant init" proved="true">
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<proof prover="2"><result status="valid" time="0.010000" steps="14"/></proof>
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</goal>
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<goal name="mergesort'vc.2" expl="loop invariant init" proved="true">
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<proof prover="2"><result status="valid" time="0.010000" steps="14"/></proof>
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</goal>
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<goal name="mergesort'vc.3" expl="precondition" proved="true">
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<proof prover="2"><result status="valid" time="0.010000" steps="16"/></proof>
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</goal>
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<goal name="mergesort'vc.4" expl="precondition" proved="true">
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<proof prover="2"><result status="valid" time="0.010000" steps="22"/></proof>
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</goal>
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<goal name="mergesort'vc.5" expl="loop variant decrease" proved="true">
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<proof prover="2"><result status="valid" time="0.040000" steps="229"/></proof>
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</goal>
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<goal name="mergesort'vc.6" expl="loop invariant preservation" proved="true">
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<proof prover="2"><result status="valid" time="0.450000" steps="1947"/></proof>
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</goal>
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<goal name="mergesort'vc.7" expl="loop invariant preservation" proved="true">
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<proof prover="2"><result status="valid" time="0.050000" steps="239"/></proof>
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</goal>
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<goal name="mergesort'vc.8" expl="loop invariant preservation" proved="true">
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<proof prover="2"><result status="valid" time="0.020000" steps="35"/></proof>
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</goal>
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<goal name="mergesort'vc.9" expl="loop variant decrease" proved="true">
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<proof prover="2"><result status="valid" time="0.020000" steps="28"/></proof>
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</goal>
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<goal name="mergesort'vc.10" expl="loop invariant preservation" proved="true">
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<proof prover="2"><result status="valid" time="0.070000" steps="275"/></proof>
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</goal>
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<goal name="mergesort'vc.11" expl="loop invariant preservation" proved="true">
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<proof prover="2"><result status="valid" time="0.030000" steps="75"/></proof>
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</goal>
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<goal name="mergesort'vc.12" expl="loop invariant preservation" proved="true">
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<proof prover="2"><result status="valid" time="0.020000" steps="44"/></proof>
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</goal>
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<goal name="mergesort'vc.13" expl="assertion" proved="true">
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<proof prover="2"><result status="valid" time="0.010000" steps="16"/></proof>
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</goal>
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<goal name="mergesort'vc.14" expl="assertion" proved="true">
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<proof prover="2"><result status="valid" time="0.280000" steps="381"/></proof>
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</goal>
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<goal name="mergesort'vc.15" expl="variant decrease" proved="true">
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<proof prover="2"><result status="valid" time="0.010000" steps="20"/></proof>
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</goal>
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<goal name="mergesort'vc.16" expl="variant decrease" proved="true">
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<proof prover="2"><result status="valid" time="0.010000" steps="24"/></proof>
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</goal>
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<goal name="mergesort'vc.17" expl="precondition" proved="true">
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<proof prover="2"><result status="valid" time="0.010000" steps="24"/></proof>
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</goal>
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<goal name="mergesort'vc.18" expl="postcondition" proved="true">
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<proof prover="6"><result status="valid" time="1.966778" steps="598844"/></proof>
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</goal>
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<goal name="mergesort'vc.19" expl="assertion" proved="true">
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<proof prover="2"><result status="valid" time="0.160000" steps="292"/></proof>
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</goal>
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<goal name="mergesort'vc.20" expl="postcondition" proved="true">
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<proof prover="2"><result status="valid" time="0.040000" steps="183"/></proof>
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</goal>
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</transf>
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</goal>
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</theory>
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</file>
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</why3session>
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