mirror of
https://github.com/AdaCore/why3.git
synced 2026-02-12 12:34:55 -08:00
208 lines
11 KiB
XML
208 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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"https://www.why3.org/why3session.dtd">
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<why3session shape_version="6">
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<prover id="1" name="Alt-Ergo" version="2.3.3" timelimit="5" steplimit="0" memlimit="1000"/>
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<prover id="2" name="Alt-Ergo" version="2.6.0" 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="8"/></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="12"/></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="10"/></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="23"/></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="137"/></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="148"/></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="1831"/></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="704"/></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="145"/></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="127"/></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="149"/></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="1695"/></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="656"/></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="144"/></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="129"/></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="149"/></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="1769"/></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="662"/></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="6"><result status="valid" time="0.712104" steps="81883"/></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="137"/></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="122"/></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="161"/></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="0.260832" steps="2898"/></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="82303"/></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="736"/></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="144"/></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="124"/></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="38"/></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="50305"/></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="181"/></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="33"/></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="21"/></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="403"/></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="0.076061" steps="960"/></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="394"/></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="64"/></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="46"/></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="419"/></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="154"/></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="74"/></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="42"/></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="0.150710" steps="1806"/></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="35"/></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="43"/></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="59"/></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="2.349747" steps="597516"/></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="1"><result status="valid" time="0.068497" 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="331"/></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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