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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="Alt-Ergo" version="2.4.0" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="3" name="CVC5" version="1.0.2" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="4" name="Z3" version="4.8.10" timelimit="1" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="anagrammi.mlw"/>
<theory name="Top" proved="true">
<goal name="lt_trans" proved="true">
<proof prover="4"><result status="valid" time="0.025523" steps="33984"/></proof>
</goal>
<goal name="anagrammi'vc" expl="VC for anagrammi" proved="true">
<transf name="split_vc" proved="true" >
<goal name="anagrammi'vc.0" expl="loop invariant init" proved="true">
<proof prover="4"><result status="valid" time="0.051891" steps="31253"/></proof>
</goal>
<goal name="anagrammi'vc.1" expl="loop invariant init" proved="true">
<proof prover="4"><result status="valid" time="0.026561" steps="35092"/></proof>
</goal>
<goal name="anagrammi'vc.2" expl="loop invariant preservation" proved="true">
<proof prover="0"><result status="valid" time="0.038658" steps="167"/></proof>
</goal>
<goal name="anagrammi'vc.3" expl="loop invariant init" proved="true">
<proof prover="4"><result status="valid" time="0.022029" steps="37769"/></proof>
</goal>
<goal name="anagrammi'vc.4" expl="loop invariant preservation" proved="true">
<proof prover="0"><result status="valid" time="0.049751" steps="230"/></proof>
</goal>
<goal name="anagrammi'vc.5" expl="loop invariant preservation" proved="true">
<proof prover="0"><result status="valid" time="0.049688" steps="255"/></proof>
</goal>
<goal name="anagrammi'vc.6" expl="assertion" proved="true">
<proof prover="4"><result status="valid" time="0.086579" steps="77734"/></proof>
</goal>
<goal name="anagrammi'vc.7" expl="assertion" proved="true">
<proof prover="0" timelimit="30"><result status="valid" time="0.324868" steps="3794"/></proof>
</goal>
<goal name="anagrammi'vc.8" expl="loop invariant preservation" proved="true">
<transf name="unfold" proved="true" arg1="below">
<goal name="anagrammi'vc.8.0" expl="VC for anagrammi" proved="true">
<transf name="split_vc" proved="true" >
<goal name="anagrammi'vc.8.0.0" expl="VC for anagrammi" proved="true">
<transf name="unfold" proved="true" arg1="sorted">
<goal name="anagrammi'vc.8.0.0.0" expl="VC for anagrammi" proved="true">
<transf name="split_vc" proved="true" >
<goal name="anagrammi'vc.8.0.0.0.0" expl="VC for anagrammi" proved="true">
<proof prover="3"><result status="valid" time="0.167606" steps="17344"/></proof>
</goal>
<goal name="anagrammi'vc.8.0.0.0.1" expl="VC for anagrammi" proved="true">
<transf name="case" proved="true" arg1="(length output = 1)">
<goal name="anagrammi'vc.8.0.0.0.1.0" expl="true case" proved="true">
<proof prover="4"><result status="valid" time="0.065086" steps="99572"/></proof>
</goal>
<goal name="anagrammi'vc.8.0.0.0.1.1" expl="false case" proved="true">
<transf name="case" proved="true" arg1="(j2 = length output - 1)">
<goal name="anagrammi'vc.8.0.0.0.1.1.0" expl="false case (true case)" proved="true">
<transf name="case" proved="true" arg1="(pr1 i1 output[j1])">
<goal name="anagrammi'vc.8.0.0.0.1.1.0.0" expl="false case (true case)" proved="true">
<transf name="unfold" proved="true" arg1="lt">
<goal name="anagrammi'vc.8.0.0.0.1.1.0.0.0" expl="VC for anagrammi" proved="true">
<transf name="exists" proved="true" arg1="0">
<goal name="anagrammi'vc.8.0.0.0.1.1.0.0.0.0" proved="true">
<proof prover="3"><result status="valid" time="0.195917" steps="12159"/></proof>
</goal>
</transf>
</goal>
</transf>
</goal>
<goal name="anagrammi'vc.8.0.0.0.1.1.0.1" expl="false case (true case)" proved="true">
<transf name="case" proved="true" arg1="(pr2 i1 i2 output[j1])">
<goal name="anagrammi'vc.8.0.0.0.1.1.0.1.0" expl="false case (true case)" proved="true">
<proof prover="3"><result status="valid" time="0.234350" steps="16232"/></proof>
</goal>
<goal name="anagrammi'vc.8.0.0.0.1.1.0.1.1" expl="false case (true case)" proved="true">
<proof prover="3"><result status="valid" time="0.280317" steps="19766"/></proof>
</goal>
</transf>
</goal>
</transf>
</goal>
<goal name="anagrammi'vc.8.0.0.0.1.1.1" expl="false case" proved="true">
<proof prover="3" timelimit="5"><result status="valid" time="0.248785" steps="19348"/></proof>
</goal>
</transf>
</goal>
</transf>
</goal>
</transf>
</goal>
</transf>
</goal>
<goal name="anagrammi'vc.8.0.1" expl="VC for anagrammi" proved="true">
<proof prover="3"><result status="valid" time="0.248341" steps="17692"/></proof>
</goal>
<goal name="anagrammi'vc.8.0.2" expl="VC for anagrammi" proved="true">
<transf name="case" proved="true" arg1="(s[2] = i3)">
<goal name="anagrammi'vc.8.0.2.0" expl="true case" proved="true">
<transf name="case" proved="true" arg1="(s[1] = i2)">
<goal name="anagrammi'vc.8.0.2.0.0" expl="true case" proved="true">
<transf name="case" proved="true" arg1="(s[0] = i1)">
<goal name="anagrammi'vc.8.0.2.0.0.0" expl="true case" proved="true">
<transf name="assert" proved="true" arg1="(s[3] = i4)">
<goal name="anagrammi'vc.8.0.2.0.0.0.0" expl="asserted formula" proved="true">
<proof prover="3"><result status="valid" time="0.564475" steps="50512"/></proof>
</goal>
<goal name="anagrammi'vc.8.0.2.0.0.0.1" expl="true case" proved="true">
<transf name="assert" proved="true" arg1="(s == line)">
<goal name="anagrammi'vc.8.0.2.0.0.0.1.0" expl="asserted formula" proved="true">
<proof prover="3"><result status="valid" time="0.299594" steps="24967"/></proof>
</goal>
<goal name="anagrammi'vc.8.0.2.0.0.0.1.1" expl="true case" proved="true">
<proof prover="4"><result status="valid" time="0.094400" steps="113169"/></proof>
</goal>
</transf>
</goal>
</transf>
</goal>
<goal name="anagrammi'vc.8.0.2.0.0.1" expl="false case (true case)" proved="true">
<proof prover="4"><result status="valid" time="0.133097" steps="526658"/></proof>
</goal>
</transf>
</goal>
<goal name="anagrammi'vc.8.0.2.0.1" expl="false case (true case)" proved="true">
<proof prover="3"><result status="valid" time="0.277393" steps="28979"/></proof>
</goal>
</transf>
</goal>
<goal name="anagrammi'vc.8.0.2.1" expl="false case" proved="true">
<proof prover="3" timelimit="5"><result status="valid" time="0.276568" steps="28855"/></proof>
</goal>
</transf>
</goal>
</transf>
</goal>
</transf>
</goal>
<goal name="anagrammi'vc.9" expl="loop invariant preservation" proved="true">
<proof prover="4"><result status="valid" time="0.073489" steps="43603"/></proof>
</goal>
<goal name="anagrammi'vc.10" expl="loop invariant preservation" proved="true">
<proof prover="0"><result status="valid" time="0.055839" steps="18"/></proof>
</goal>
<goal name="anagrammi'vc.11" expl="loop invariant preservation" proved="true">
<proof prover="4"><result status="valid" time="0.078927" steps="38036"/></proof>
</goal>
<goal name="anagrammi'vc.12" expl="loop invariant preservation" proved="true">
<proof prover="3"><result status="valid" time="0.084005" steps="3161"/></proof>
<proof prover="4"><result status="valid" time="0.027696" steps="1962"/></proof>
</goal>
<goal name="anagrammi'vc.13" expl="postcondition" proved="true">
<proof prover="4"><result status="valid" time="0.054907" steps="33902"/></proof>
</goal>
<goal name="anagrammi'vc.14" expl="postcondition" proved="true">
<proof prover="4"><result status="valid" time="0.036127" steps="1888"/></proof>
</goal>
</transf>
</goal>
</theory>
</file>
</why3session>
|
