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<?xml version="1.0" encoding="UTF-8"?>
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<!DOCTYPE why3session PUBLIC "-//Why3//proof session v2//EN" "http://why3.lri.fr/why3session.dtd">
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<why3session shape_version="4">
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 <prover id="0" name="Alt-Ergo" version="0.95.1"/>
 <prover id="1" name="Alt-Ergo" version="0.95.2"/>
 <prover id="2" name="CVC3" version="2.2"/>
 <prover id="3" name="CVC3" version="2.4.1"/>
 <prover id="4" name="Coq" version="8.4pl2"/>
 <prover id="5" name="Z3" version="2.19"/>
 <prover id="6" name="Z3" version="3.2"/>
 <file name="../wp2.mlw" verified="true"
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  expanded="true">
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  <theory name="Imp" locfile="../wp2.mlw"
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   loclnum="6" loccnumb="7" loccnume="10"
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   verified="true">
   <goal name="eval_subst_term" locfile="../wp2.mlw"
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    loclnum="99" loccnumb="6" loccnume="21"
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    sum="e99af0073039ec3d71c4d9730184ec61" proved="true"
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    shape="ainfix =aeval_termV0V1asubst_termV2V3V4aeval_termasetV0V3agetV1V4V1V2Iafresh_in_termV4V2F">
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    <proof prover="4" timelimit="5" memlimit="0"
     edited="wp2_Imp_eval_subst_term_1.v">
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     <result status="valid" time="1.12"/>
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    </proof>
   </goal>
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   <goal name="eval_term_change_free" locfile="../wp2.mlw"
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    loclnum="105" loccnumb="6" loccnume="27"
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    sum="9f8f146953f9715dc29da621c75e177b" proved="true"
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    shape="ainfix =aeval_termV1asetV2V3V4V0aeval_termV1V2V0Iafresh_in_termV3V0F">
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    <proof prover="4" timelimit="5" memlimit="0"
     edited="wp2_Imp_eval_term_change_free_1.v">
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     <result status="valid" time="1.19"/>
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    </proof>
   </goal>
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   <goal name="eval_subst" locfile="../wp2.mlw"
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    loclnum="131" loccnumb="6" loccnume="16"
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    sum="87344d495dceab6d73aecfcb5e5449a0" proved="true"
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    shape="aeval_fmlaasetV1V3agetV2V4V2V0qaeval_fmlaV1V2asubstV0V3V4Iafresh_in_fmlaV4V0F">
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    <proof prover="4" timelimit="5" memlimit="0"
     edited="wp2_Imp_eval_subst_1.v">
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     <result status="valid" time="1.22"/>
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    </proof>
   </goal>
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   <goal name="eval_swap" locfile="../wp2.mlw"
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    loclnum="137" loccnumb="6" loccnume="15"
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    sum="99535b5c97fe0a9b4a8306af4861c914" proved="true"
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    shape="aeval_fmlaV1asetasetV2V4V6V3V5V0qaeval_fmlaV1asetasetV2V3V5V4V6V0INainfix =V3V4F">
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    <proof prover="2" timelimit="3"
     memlimit="0">
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     <result status="valid" time="0.02"/>
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    </proof>
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    <proof prover="3" timelimit="3"
     memlimit="0">
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     <result status="valid" time="0.02"/>
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    </proof>
   </goal>
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   <goal name="eval_change_free" locfile="../wp2.mlw"
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    loclnum="143" loccnumb="6" loccnume="22"
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    sum="28272e4cc254141170e005110b773c16" proved="true"
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    shape="aeval_fmlaV1V2V0qaeval_fmlaV1asetV2V3V4V0Iafresh_in_fmlaV3V0F">
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    <proof prover="4" timelimit="5" memlimit="0"
     edited="wp2_Imp_eval_change_free_1.v">
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     <result status="valid" time="1.15"/>
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    </proof>
   </goal>
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   <goal name="check_skip" locfile="../wp2.mlw"
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    loclnum="158" loccnumb="6" loccnume="16"
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    sum="74d10e06bdeaf06d1fbe66791f862864" proved="true"
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    shape="Nainfix =V0aSskipOainfix =V0aSskipF">
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    <proof prover="0" timelimit="5"
     memlimit="0">
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     <result status="valid" time="0.01"/>
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    </proof>
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    <proof prover="2" timelimit="5"
     memlimit="0">
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     <result status="valid" time="0.02"/>
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    </proof>
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    <proof prover="3" timelimit="5"
     memlimit="0">
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     <result status="valid" time="0.02"/>
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    </proof>
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    <proof prover="5" timelimit="5"
     memlimit="0">
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     <result status="valid" time="0.00"/>
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    </proof>
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    <proof prover="6" timelimit="5"
     memlimit="0">
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     <result status="valid" time="0.00"/>
    </proof>
   </goal>
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   <goal name="steps_non_neg" locfile="../wp2.mlw"
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    loclnum="227" loccnumb="6" loccnume="19"
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    sum="ce3a0efacf3b2cc8822f629e684ffb74" proved="true"
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    shape="ainfix &gt;=V6c0Iamany_stepsV0V1V4V2V3V5V6F">
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    <proof prover="4" timelimit="3" memlimit="0"
     edited="wp2_Imp_steps_non_neg_1.v">
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     <result status="valid" time="1.07"/>
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    </proof>
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   </goal>
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   <goal name="many_steps_seq" locfile="../wp2.mlw"
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    loclnum="231" loccnumb="6" loccnume="20"
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    sum="beed3921b5dc6411b1c0094c258ad7ac" proved="true"
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    shape="ainfix =V6ainfix +ainfix +c1V9V10Aamany_stepsV7V8V5V2V3aSskipV10Aamany_stepsV0V1V4V7V8aSskipV9EIamany_stepsV0V1aSseqV4V5V2V3aSskipV6F">
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    <proof prover="4" timelimit="3" memlimit="0"
     edited="wp2_Imp_many_steps_seq_1.v">
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     <result status="valid" time="1.30"/>
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    </proof>
   </goal>
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  </theory>
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  <theory name="TestSemantics" locfile="../wp2.mlw"
   loclnum="262" loccnumb="7" loccnume="20" verified="true"
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   expanded="true">
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   <goal name="Test13" locfile="../wp2.mlw"
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    loclnum="269" loccnumb="5" loccnume="11"
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    sum="a5acf3698bf7eba82eada3c9ab479cc4" proved="true"
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    shape="ainfix =aeval_termamy_sigmaamy_piaTconstc13aVintc13">
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    <proof prover="0" timelimit="5"
     memlimit="1000">
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     <result status="valid" time="0.02"/>
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    </proof>
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    <proof prover="2" timelimit="5"
     memlimit="1000">
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     <result status="valid" time="0.03"/>
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    </proof>
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    <proof prover="3" timelimit="5"
     memlimit="1000">
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     <result status="valid" time="0.03"/>
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    </proof>
   </goal>
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   <goal name="Test42" locfile="../wp2.mlw"
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    loclnum="272" loccnumb="5" loccnume="11"
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    sum="bb76a698b6710dcefa7807e087520a42" proved="true"
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    shape="ainfix =aeval_termamy_sigmaamy_piaTvarc0aVintc42">
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    <proof prover="0" timelimit="5"
     memlimit="1000">
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     <result status="valid" time="0.02"/>
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    </proof>
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    <proof prover="2" timelimit="5"
     memlimit="1000">
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     <result status="valid" time="0.03"/>
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    </proof>
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    <proof prover="3" timelimit="5"
     memlimit="1000">
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     <result status="valid" time="0.04"/>
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    </proof>
   </goal>
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   <goal name="Test0" locfile="../wp2.mlw"
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    loclnum="275" loccnumb="5" loccnume="10"
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    sum="5d1db48d5480714705fb5c63ecb3d301" proved="true"
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    shape="ainfix =aeval_termamy_sigmaamy_piaTderefc0aVintc0">
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    <proof prover="0" timelimit="5"
     memlimit="1000">
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     <result status="valid" time="0.02"/>
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    </proof>
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    <proof prover="2" timelimit="5"
     memlimit="1000">
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     <result status="valid" time="0.04"/>
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    </proof>
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    <proof prover="3" timelimit="5"
     memlimit="1000">
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     <result status="valid" time="0.04"/>
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    </proof>
   </goal>
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   <goal name="Test55" locfile="../wp2.mlw"
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    loclnum="278" loccnumb="5" loccnume="11"
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    sum="c90b6284f1af9420a1748a749c22f454" proved="true"
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    shape="ainfix =aeval_termamy_sigmaamy_piaTbinaTvarc0aOplusaTconstc13aVintc55">
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    <proof prover="4" timelimit="5" memlimit="1000"
     edited="wp2_TestSemantics_Test55_1.v">
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     <result status="valid" time="1.12"/>
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    </proof>
   </goal>
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   <goal name="Ass42" locfile="../wp2.mlw"
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    loclnum="281" loccnumb="5" loccnume="10"
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    sum="109ea841deaeaeb99f81faeebe2ec544" proved="true"
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    shape="ainfix =agetV1V0aVintc42Iaone_stepamy_sigmaamy_piaSassignV0aTconstc42V1V2aSskipFLc0">
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    <proof prover="0" timelimit="5"
     memlimit="1000">
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     <result status="valid" time="0.06"/>
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    </proof>
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    <proof prover="2" timelimit="5"
     memlimit="1000">
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     <result status="valid" time="0.03"/>
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    </proof>
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    <proof prover="3" timelimit="5"
     memlimit="1000">
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     <result status="valid" time="0.04"/>
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    </proof>
   </goal>
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   <goal name="If42" locfile="../wp2.mlw"
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    loclnum="287" loccnumb="5" loccnume="9"
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    sum="3faaf67f766686061e7aca44d83fb065" proved="true"
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    shape="ainfix =agetV3V0aVintc13Iaone_stepV1V2V5V3V4aSskipIaone_stepamy_sigmaamy_piaSifaTbinaTderefV0aOleaTconstc10aSassignV0aTconstc13aSassignV0aTconstc42V1V2V5FLc0">
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    <proof prover="4" timelimit="5" memlimit="1000"
     edited="wp2_TestSemantics_If42_1.v">
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     <result status="valid" time="2.17"/>
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    </proof>
   </goal>
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  </theory>
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  <theory name="HoareLogic" locfile="../wp2.mlw"
   loclnum="302" loccnumb="7" loccnume="17" verified="true"
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   expanded="true">
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   <goal name="consequence_rule" locfile="../wp2.mlw"
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    loclnum="309" loccnumb="6" loccnume="22"
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    sum="e3e7a8f91b8fec727aaa54c7c1660877" proved="true"
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    shape="avalid_tripleV1V4V3Iavalid_fmlaaFimpliesV2V3Iavalid_tripleV0V4V2Iavalid_fmlaaFimpliesV1V0F">
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    <proof prover="2" timelimit="5"
     memlimit="1000">
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     <result status="valid" time="0.06"/>
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    </proof>
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    <proof prover="3" timelimit="5"
     memlimit="1000">
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     <result status="valid" time="0.12"/>
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    </proof>
   </goal>
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   <goal name="skip_rule" locfile="../wp2.mlw"
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    loclnum="316" loccnumb="6" loccnume="15"
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    sum="c001eae8b37366a1b9eb07fc92826d94" proved="true"
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    shape="avalid_tripleV0aSskipV0F">
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    <proof prover="4" timelimit="3" memlimit="0"
     edited="wp2_HoareLogic_skip_rule_1.v">
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     <result status="valid" time="1.33"/>
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    </proof>
   </goal>
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   <goal name="assign_rule" locfile="../wp2.mlw"
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    loclnum="319" loccnumb="6" loccnume="17"
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    sum="bb841071e0365881b6b0c888dfa8e10c" proved="true"
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    shape="avalid_tripleaFletV2V3asubstV0V1V2aSassignV1V3V0Iafresh_in_fmlaV2V0F">
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    <proof prover="4" timelimit="3" memlimit="0"
     edited="wp2_HoareLogic_assign_rule_1.v">
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     <result status="valid" time="1.21"/>
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    </proof>
   </goal>
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   <goal name="seq_rule" locfile="../wp2.mlw"
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    loclnum="324" loccnumb="6" loccnume="14"
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    sum="c01e9aec4ae05f1b4f1375959ebd7339" proved="true"
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    shape="avalid_tripleV0aSseqV3V4V1Iavalid_tripleV2V4V1Aavalid_tripleV0V3V2F">
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    <proof prover="5" timelimit="5"
     memlimit="0">
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     <result status="valid" time="0.03"/>
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    </proof>
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    <proof prover="6" timelimit="3"
     memlimit="0">
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     <result status="valid" time="0.07"/>
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    </proof>
   </goal>
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   <goal name="if_rule" locfile="../wp2.mlw"
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    loclnum="329" loccnumb="6" loccnume="13"
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    sum="19607eacc10051e01f88953f9f2caea8" proved="true"
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    shape="avalid_tripleV1aSifV0V3V4V2Iavalid_tripleaFandV1aFnotaFtermV0V4V2Aavalid_tripleaFandV1aFtermV0V3V2F">
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    <proof prover="4" timelimit="3" memlimit="0"
     edited="wp2_HoareLogic_if_rule_1.v">
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     <result status="valid" time="1.36"/>
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    </proof>
   </goal>
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   <goal name="assert_rule" locfile="../wp2.mlw"
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    loclnum="335" loccnumb="6" loccnume="17"
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    sum="841822c20a451500811e28ec14421b98" proved="true"
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    shape="avalid_tripleV1aSassertV0V1Iavalid_fmlaaFimpliesV1V0F">
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    <proof prover="4" timelimit="3" memlimit="0"
     edited="wp2_HoareLogic_assert_rule_1.v">
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     <result status="valid" time="1.31"/>
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    </proof>
   </goal>
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   <goal name="assert_rule_ext" locfile="../wp2.mlw"
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    loclnum="339" loccnumb="6" loccnume="21"
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    sum="03b9cf20cf9f2ad92049e48f7555bc5f" proved="true"
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    shape="avalid_tripleaFimpliesV0V1aSassertV0V1F">
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    <proof prover="4" timelimit="3" memlimit="0"
     edited="wp2_HoareLogic_assert_rule_ext_1.v">
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     <result status="valid" time="1.17"/>
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    </proof>
   </goal>
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   <goal name="while_rule" locfile="../wp2.mlw"
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    loclnum="343" loccnumb="6" loccnume="16"
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    sum="896a123c114e0ce7ce81e8bce540b58c" proved="true"
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    shape="avalid_tripleV1aSwhileV0V1V2aFandaFnotaFtermV0V1Iavalid_tripleaFandaFtermV0V1V2V1F">
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    <proof prover="4" timelimit="3" memlimit="0"
     edited="wp2_HoareLogic_while_rule_1.v">
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     <result status="valid" time="1.34"/>
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    </proof>
   </goal>
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   <goal name="while_rule_ext" locfile="../wp2.mlw"
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    loclnum="348" loccnumb="6" loccnume="20"
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    sum="50f98838af61539f36448071d9b142b5" proved="true"
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    shape="avalid_tripleV2aSwhileV0V1V3aFandaFnotaFtermV0V2Iavalid_tripleaFandaFtermV0V2V3V2Iavalid_fmlaaFimpliesV2V1F">
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    <proof prover="4" timelimit="3" memlimit="0"
     edited="wp2_HoareLogic_while_rule_ext_1.v">
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     <result status="valid" time="1.48"/>
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    </proof>
   </goal>
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  </theory>
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  <theory name="WP" locfile="../wp2.mlw"
   loclnum="360" loccnumb="7" loccnume="9" verified="true"
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   expanded="true">
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   <goal name="assigns_refl" locfile="../wp2.mlw"
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    loclnum="370" loccnumb="6" loccnume="18"
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    sum="9aeddb2f1317e2e06c363f95f99c647c" proved="true"
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    shape="aassignsV0V1V0F">
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    <proof prover="0" timelimit="3"
     memlimit="0">
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     <result status="valid" time="0.02"/>
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    </proof>
   </goal>
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   <goal name="assigns_trans" locfile="../wp2.mlw"
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    loclnum="373" loccnumb="6" loccnume="19"
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    sum="3446b4c9b2b3fadaac9a9cbd4b3024e5" proved="true"
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    shape="aassignsV0V3V2IaassignsV1V3V2AaassignsV0V3V1F">
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    <proof prover="0" timelimit="3"
     memlimit="0">
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     <result status="valid" time="0.02"/>
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    </proof>
   </goal>
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   <goal name="assigns_union_left" locfile="../wp2.mlw"
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    loclnum="378" loccnumb="6" loccnume="24"
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    sum="9cb2c71e8f2d1fe5a88f52cdb010130a" proved="true"
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    shape="aassignsV0aunionV2V3V1IaassignsV0V2V1F">
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    <proof prover="0" timelimit="3"
     memlimit="0">
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     <result status="valid" time="0.02"/>
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    </proof>
   </goal>
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   <goal name="assigns_union_right" locfile="../wp2.mlw"
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    loclnum="382" loccnumb="6" loccnume="25"
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    sum="e235991af477fada0d1d6bd329884c00" proved="true"
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    shape="aassignsV0aunionV2V3V1IaassignsV0V3V1F">
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    <proof prover="0" timelimit="3"
     memlimit="0">
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     <result status="valid" time="0.02"/>
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    </proof>
   </goal>
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   <goal name="WP_parameter compute_writes" locfile="../wp2.mlw"
    loclnum="396" loccnumb="10" loccnume="24" expl="VC for compute_writes"
    sum="e3b2bf3d93f7f1e0e414cf791a96e764" proved="true"
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    shape="CaassignsV1aemptyV3Iamany_stepsV1V2V0V3V4aSskipV5FaSskipaassignsV7asingletonV6V9Iamany_stepsV7V8V0V9V10aSskipV11FaSassignVwaassignsV16aunionV15V14V18Iamany_stepsV16V17V0V18V19aSskipV20FIaassignsV21V15V23Iamany_stepsV21V22V12V23V24aSskipV25FFACfaSskipfaSassignwwainfix =V27V12Oainfix =V26V12aSseqVVainfix =V29V12Oainfix =V28V12aSifwVVfaSassertwainfix =V30V12aSwhilewwVV0IaassignsV31V14V33Iamany_stepsV31V32V13V33V34aSskipV35FFACfaSskipfaSassignwwainfix =V37V13Oainfix =V36V13aSseqVVainfix =V39V13Oainfix =V38V13aSifwVVfaSassertwainfix =V40V13aSwhilewwVV0aSseqVVaassignsV45aunionV44V43V47Iamany_stepsV45V46V0V47V48aSskipV49FIaassignsV50V44V52Iamany_stepsV50V51V41V52V53aSskipV54FFACfaSskipfaSassignwwainfix =V56V41Oainfix =V55V41aSseqVVainfix =V58V41Oainfix =V57V41aSifwVVfaSassertwainfix =V59V41aSwhilewwVV0IaassignsV60V43V62Iamany_stepsV60V61V42V62V63aSskipV64FFACfaSskipfaSassignwwainfix =V66V42Oainfix =V65V42aSseqVVainfix =V68V42Oainfix =V67V42aSifwVVfaSassertwainfix =V69V42aSwhilewwVV0aSifwVVaassignsV72V71V74Iamany_stepsV72V73V0V74V75aSskipV76FIaassignsV77V71V79Iamany_stepsV77V78V70V79V80aSskipV81FFACfaSskipfaSassignwwainfix =V83V70Oainfix =V82V70aSseqVVainfix =V85V70Oainfix =V84V70aSifwVVfaSassertwainfix =V86V70aSwhilewwVV0aSwhilewwVaassignsV87aemptyV89Iamany_stepsV87V88V0V89V90aSskipV91FaSassertwV0F">
335 336 337 338 339 340
    <label name="expl:VC for compute_writes"/>
    <transf name="split_goal"
     proved="true">
     <goal name="WP_parameter compute_writes.1" locfile="../wp2.mlw"
      loclnum="396" loccnumb="10" loccnume="24" expl="1. postcondition"
      sum="ac9e060b518b346e7fca7ef2f45bedf2" proved="true"
341
      shape="postconditionCaassignsV1aemptyV3Iamany_stepsV1V2V0V3V4aSskipV5FaSskiptaSassignVwtaSseqVVtaSifwVVtaSwhilewwVtaSassertwV0F">
342 343 344
      <label name="expl:VC for compute_writes"/>
      <proof prover="0" timelimit="3"
       memlimit="0">
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345
       <result status="valid" time="0.19"/>
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346 347
      </proof>
     </goal>
348 349 350
     <goal name="WP_parameter compute_writes.2" locfile="../wp2.mlw"
      loclnum="396" loccnumb="10" loccnume="24" expl="2. postcondition"
      sum="cece54b0aaab17f1deef39d419d71b0b" proved="true"
351
      shape="postconditionCtaSskipaassignsV2asingletonV1V4Iamany_stepsV2V3V0V4V5aSskipV6FaSassignVwtaSseqVVtaSifwVVtaSwhilewwVtaSassertwV0F">
352 353 354
      <label name="expl:VC for compute_writes"/>
      <proof prover="4" timelimit="3" memlimit="0"
       edited="wp2_WP_WP_WP_parameter_compute_writes_1.v">
355
       <result status="valid" time="1.39"/>
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356 357
      </proof>
     </goal>
358 359 360
     <goal name="WP_parameter compute_writes.3" locfile="../wp2.mlw"
      loclnum="396" loccnumb="10" loccnume="24" expl="3. variant decrease"
      sum="c00c0afe29fc441b467239f135c951b8" proved="true"
361
      shape="variant decreaseCtaSskiptaSassignVwCfaSskipfaSassignwwainfix =V5V3Oainfix =V4V3aSseqVVainfix =V7V3Oainfix =V6V3aSifwVVfaSassertwainfix =V8V3aSwhilewwVV0aSseqVVtaSifwVVtaSwhilewwVtaSassertwV0F">
362 363 364
      <label name="expl:VC for compute_writes"/>
      <proof prover="1" timelimit="5"
       memlimit="4000">
365 366 367
       <result status="valid" time="0.04"/>
      </proof>
     </goal>
368 369 370
     <goal name="WP_parameter compute_writes.4" locfile="../wp2.mlw"
      loclnum="396" loccnumb="10" loccnume="24" expl="4. variant decrease"
      sum="4f5928efc0a6cb4af858ff7407480fe1" proved="true"
371
      shape="variant decreaseCtaSskiptaSassignVwCfaSskipfaSassignwwainfix =V6V2Oainfix =V5V2aSseqVVainfix =V8V2Oainfix =V7V2aSifwVVfaSassertwainfix =V9V2aSwhilewwVV0IaassignsV10V4V12Iamany_stepsV10V11V3V12V13aSskipV14FFaSseqVVtaSifwVVtaSwhilewwVtaSassertwV0F">
372 373 374
      <label name="expl:VC for compute_writes"/>
      <proof prover="1" timelimit="5"
       memlimit="4000">
375 376 377
       <result status="valid" time="0.04"/>
      </proof>
     </goal>
378 379 380
     <goal name="WP_parameter compute_writes.5" locfile="../wp2.mlw"
      loclnum="396" loccnumb="10" loccnume="24" expl="5. postcondition"
      sum="1ab92722274293d259612529d42b85fd" proved="true"
381
      shape="postconditionCtaSskiptaSassignVwaassignsV6aunionV5V4V8Iamany_stepsV6V7V0V8V9aSskipV10FIaassignsV11V5V13Iamany_stepsV11V12V2V13V14aSskipV15FFIaassignsV16V4V18Iamany_stepsV16V17V3V18V19aSskipV20FFaSseqVVtaSifwVVtaSwhilewwVtaSassertwV0F">
382 383 384
      <label name="expl:VC for compute_writes"/>
      <proof prover="5" timelimit="5"
       memlimit="0">
385
       <result status="valid" time="0.03"/>
386
      </proof>
387 388
      <proof prover="6" timelimit="3"
       memlimit="0">
389
       <result status="valid" time="0.07"/>
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390 391
      </proof>
     </goal>
392 393 394
     <goal name="WP_parameter compute_writes.6" locfile="../wp2.mlw"
      loclnum="396" loccnumb="10" loccnume="24" expl="6. variant decrease"
      sum="79289db61220783f6061206f7555ffab" proved="true"
395
      shape="variant decreaseCtaSskiptaSassignVwtaSseqVVCfaSskipfaSassignwwainfix =V7V5Oainfix =V6V5aSseqVVainfix =V9V5Oainfix =V8V5aSifwVVfaSassertwainfix =V10V5aSwhilewwVV0aSifwVVtaSwhilewwVtaSassertwV0F">
396 397 398
      <label name="expl:VC for compute_writes"/>
      <proof prover="1" timelimit="5"
       memlimit="4000">
399 400 401
       <result status="valid" time="0.03"/>
      </proof>
     </goal>
402 403 404
     <goal name="WP_parameter compute_writes.7" locfile="../wp2.mlw"
      loclnum="396" loccnumb="10" loccnume="24" expl="7. variant decrease"
      sum="1240069ed7c8c86b0a8fae23f0a1228d" proved="true"
405
      shape="variant decreaseCtaSskiptaSassignVwtaSseqVVCfaSskipfaSassignwwainfix =V8V4Oainfix =V7V4aSseqVVainfix =V10V4Oainfix =V9V4aSifwVVfaSassertwainfix =V11V4aSwhilewwVV0IaassignsV12V6V14Iamany_stepsV12V13V5V14V15aSskipV16FFaSifwVVtaSwhilewwVtaSassertwV0F">
406 407 408
      <label name="expl:VC for compute_writes"/>
      <proof prover="1" timelimit="5"
       memlimit="4000">
409 410 411
       <result status="valid" time="0.04"/>
      </proof>
     </goal>
412 413 414
     <goal name="WP_parameter compute_writes.8" locfile="../wp2.mlw"
      loclnum="396" loccnumb="10" loccnume="24" expl="8. postcondition"
      sum="b6f29f0ccdba76bf753a50faaaa7a1f4" proved="true"
415
      shape="postconditionCtaSskiptaSassignVwtaSseqVVaassignsV8aunionV7V6V10Iamany_stepsV8V9V0V10V11aSskipV12FIaassignsV13V7V15Iamany_stepsV13V14V4V15V16aSskipV17FFIaassignsV18V6V20Iamany_stepsV18V19V5V20V21aSskipV22FFaSifwVVtaSwhilewwVtaSassertwV0F">
416 417 418
      <label name="expl:VC for compute_writes"/>
      <proof prover="4" timelimit="3" memlimit="0"
       edited="wp2_WP_WP_WP_parameter_compute_writes_3.v">
419
       <result status="valid" time="1.26"/>
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420 421
      </proof>
     </goal>
422 423 424
     <goal name="WP_parameter compute_writes.9" locfile="../wp2.mlw"
      loclnum="396" loccnumb="10" loccnume="24" expl="9. variant decrease"
      sum="49eedd55a87df54ae89e824da6c18005" proved="true"
425
      shape="variant decreaseCtaSskiptaSassignVwtaSseqVVtaSifwVVCfaSskipfaSassignwwainfix =V8V6Oainfix =V7V6aSseqVVainfix =V10V6Oainfix =V9V6aSifwVVfaSassertwainfix =V11V6aSwhilewwVV0aSwhilewwVtaSassertwV0F">
426 427 428
      <label name="expl:VC for compute_writes"/>
      <proof prover="1" timelimit="5"
       memlimit="4000">
429 430 431
       <result status="valid" time="0.04"/>
      </proof>
     </goal>
432 433 434
     <goal name="WP_parameter compute_writes.10" locfile="../wp2.mlw"
      loclnum="396" loccnumb="10" loccnume="24" expl="10. postcondition"
      sum="2ec87372e876201476c43f790d3b373a" proved="true"
435
      shape="postconditionCtaSskiptaSassignVwtaSseqVVtaSifwVVaassignsV8V7V10Iamany_stepsV8V9V0V10V11aSskipV12FIaassignsV13V7V15Iamany_stepsV13V14V6V15V16aSskipV17FFaSwhilewwVtaSassertwV0F">
436 437 438 439
      <label name="expl:VC for compute_writes"/>
      <proof prover="4" timelimit="3" memlimit="0"
       edited="wp2_WP_WP_WP_parameter_compute_writes_4.v">
       <result status="valid" time="1.23"/>
MARCHE Claude's avatar
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440 441
      </proof>
     </goal>
442 443 444
     <goal name="WP_parameter compute_writes.11" locfile="../wp2.mlw"
      loclnum="396" loccnumb="10" loccnume="24" expl="11. postcondition"
      sum="109df6e40dbca2b0e7c4f5c3f862aeb8" proved="true"
445
      shape="postconditionCtaSskiptaSassignVwtaSseqVVtaSifwVVtaSwhilewwVaassignsV7aemptyV9Iamany_stepsV7V8V0V9V10aSskipV11FaSassertwV0F">
446 447 448
      <label name="expl:VC for compute_writes"/>
      <proof prover="4" timelimit="3" memlimit="0"
       edited="wp2_WP_WP_WP_parameter_compute_writes_2.v">
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MARCHE Claude committed
449
       <result status="valid" time="1.19"/>
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450 451 452 453
      </proof>
     </goal>
    </transf>
   </goal>
454 455 456
   <goal name="WP_parameter wp" locfile="../wp2.mlw"
    loclnum="429" loccnumb="10" loccnume="12" expl="VC for wp"
    sum="6b46b62c13aa3e7945f3e5949bdced26" proved="true"
457
    shape="Cavalid_tripleV1V0V1aSskipavalid_tripleV5V0V1Iavalid_tripleV5V2V4FACfaSskipfaSassignwwainfix =V7V2Oainfix =V6V2aSseqVVainfix =V9V2Oainfix =V8V2aSifwVVfaSassertwainfix =V10V2aSwhilewwVV0Iavalid_tripleV4V3V1FACfaSskipfaSassignwwainfix =V12V3Oainfix =V11V3aSseqVVainfix =V14V3Oainfix =V13V3aSifwVVfaSassertwainfix =V15V3aSwhilewwVV0aSseqVVavalid_tripleaFletV18V17asubstV1V16V18V0V1Iafresh_in_fmlaV18V1FaSassignVVavalid_tripleaFandaFimpliesaFtermV19V23aFimpliesaFnotaFtermV19V22V0V1Iavalid_tripleV23V20V1FACfaSskipfaSassignwwainfix =V25V20Oainfix =V24V20aSseqVVainfix =V27V20Oainfix =V26V20aSifwVVfaSassertwainfix =V28V20aSwhilewwVV0Iavalid_tripleV22V21V1FACfaSskipfaSassignwwainfix =V30V21Oainfix =V29V21aSseqVVainfix =V32V21Oainfix =V31V21aSifwVVfaSassertwainfix =V33V21aSwhilewwVV0aSifVVVavalid_tripleaFimpliesV34V1V0V1aSassertVavalid_tripleaFandV36V39V0V1Iaeval_fmlaV42V43V39Iamany_stepsV40V41V37V42V43aSskipV44FAaeval_fmlaV40V41aFandaFimpliesaFandaFtermV35V36V38aFimpliesaFandaFnotaFtermV35V36V1Iaeval_fmlaV40V41V39FFIavalid_tripleV38V37V36FACfaSskipfaSassignwwainfix =V46V37Oainfix =V45V37aSseqVVainfix =V48V37Oainfix =V47V37aSifwVVfaSassertwainfix =V49V37aSwhilewwVV0aSwhileVVVV0F">
458 459 460 461 462 463
    <label name="expl:VC for wp"/>
    <transf name="split_goal"
     proved="true">
     <goal name="WP_parameter wp.1" locfile="../wp2.mlw"
      loclnum="429" loccnumb="10" loccnume="12" expl="1. postcondition"
      sum="bf115659aa71ac80599e0eca9650350f" proved="true"
464
      shape="postconditionCavalid_tripleV1V0V1aSskiptaSseqVVtaSassignVVtaSifVVVtaSassertVtaSwhileVVVV0F">
465 466 467
      <label name="expl:VC for wp"/>
      <proof prover="0" timelimit="3"
       memlimit="0">
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468
       <result status="valid" time="0.02"/>
MARCHE Claude's avatar
MARCHE Claude committed
469
      </proof>
470 471
      <proof prover="2" timelimit="3"
       memlimit="0">
472
       <result status="valid" time="0.03"/>
MARCHE Claude's avatar
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473
      </proof>
474 475
      <proof prover="3" timelimit="3"
       memlimit="0">
MARCHE Claude's avatar
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476
       <result status="valid" time="0.04"/>
MARCHE Claude's avatar
MARCHE Claude committed
477
      </proof>
478 479
      <proof prover="5" timelimit="5"
       memlimit="0">
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480
       <result status="valid" time="0.01"/>
MARCHE Claude's avatar
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      </proof>
482 483
      <proof prover="6" timelimit="5"
       memlimit="0">
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484 485 486
       <result status="valid" time="0.00"/>
      </proof>
     </goal>
487 488 489
     <goal name="WP_parameter wp.2" locfile="../wp2.mlw"
      loclnum="429" loccnumb="10" loccnume="12" expl="2. variant decrease"
      sum="2734cdb91fad3af152777e0e069282aa" proved="true"
490
      shape="variant decreaseCtaSskipCfaSskipfaSassignwwainfix =V5V3Oainfix =V4V3aSseqVVainfix =V7V3Oainfix =V6V3aSifwVVfaSassertwainfix =V8V3aSwhilewwVV0aSseqVVtaSassignVVtaSifVVVtaSassertVtaSwhileVVVV0F">
491 492 493
      <label name="expl:VC for wp"/>
      <proof prover="1" timelimit="5"
       memlimit="4000">
494 495 496
       <result status="valid" time="0.03"/>
      </proof>
     </goal>
497 498 499
     <goal name="WP_parameter wp.3" locfile="../wp2.mlw"
      loclnum="429" loccnumb="10" loccnume="12" expl="3. variant decrease"
      sum="380e39966c793c8e8e1923b403935920" proved="true"
500
      shape="variant decreaseCtaSskipCfaSskipfaSassignwwainfix =V6V2Oainfix =V5V2aSseqVVainfix =V8V2Oainfix =V7V2aSifwVVfaSassertwainfix =V9V2aSwhilewwVV0Iavalid_tripleV4V3V1FaSseqVVtaSassignVVtaSifVVVtaSassertVtaSwhileVVVV0F">
501 502 503
      <label name="expl:VC for wp"/>
      <proof prover="1" timelimit="5"
       memlimit="4000">
504 505 506
       <result status="valid" time="0.03"/>
      </proof>
     </goal>
507 508 509
     <goal name="WP_parameter wp.4" locfile="../wp2.mlw"
      loclnum="429" loccnumb="10" loccnume="12" expl="4. postcondition"
      sum="cd091527e4f76dc65a7a8b2bee33cf1e" proved="true"
510
      shape="postconditionCtaSskipavalid_tripleV5V0V1Iavalid_tripleV5V2V4FIavalid_tripleV4V3V1FaSseqVVtaSassignVVtaSifVVVtaSassertVtaSwhileVVVV0F">
511 512 513
      <label name="expl:VC for wp"/>
      <proof prover="0" timelimit="3"
       memlimit="0">
MARCHE Claude's avatar
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514
       <result status="valid" time="0.02"/>
MARCHE Claude's avatar
MARCHE Claude committed
515
      </proof>
516 517
      <proof prover="2" timelimit="3"
       memlimit="0">
518
       <result status="valid" time="0.04"/>
MARCHE Claude's avatar
MARCHE Claude committed
519
      </proof>
520 521
      <proof prover="3" timelimit="3"
       memlimit="0">
MARCHE Claude's avatar
MARCHE Claude committed
522
       <result status="valid" time="0.04"/>
MARCHE Claude's avatar
MARCHE Claude committed
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      </proof>
524 525
      <proof prover="5" timelimit="5"
       memlimit="0">
MARCHE Claude's avatar
MARCHE Claude committed
526
       <result status="valid" time="0.05"/>
MARCHE Claude's avatar
MARCHE Claude committed
527
      </proof>
528 529
      <proof prover="6" timelimit="5"
       memlimit="0">
530
       <result status="valid" time="0.12"/>
MARCHE Claude's avatar
MARCHE Claude committed
531 532
      </proof>
     </goal>
533 534 535
     <goal name="WP_parameter wp.5" locfile="../wp2.mlw"
      loclnum="429" loccnumb="10" loccnume="12" expl="5. postcondition"
      sum="4fb8db14bf6da9a26f8b69e1142aad4b" proved="true"
536
      shape="postconditionCtaSskiptaSseqVVavalid_tripleaFletV6V5asubstV1V4V6V0V1Iafresh_in_fmlaV6V1FaSassignVVtaSifVVVtaSassertVtaSwhileVVVV0F">
537 538 539
      <label name="expl:VC for wp"/>
      <proof prover="0" timelimit="3"
       memlimit="0">
MARCHE Claude's avatar
MARCHE Claude committed
540
       <result status="valid" time="0.02"/>
MARCHE Claude's avatar
MARCHE Claude committed
541
      </proof>
542 543
      <proof prover="2" timelimit="3"
       memlimit="0">
MARCHE Claude's avatar
MARCHE Claude committed
544
       <result status="valid" time="0.04"/>
MARCHE Claude's avatar
MARCHE Claude committed
545
      </proof>
546 547
      <proof prover="3" timelimit="3"
       memlimit="0">
MARCHE Claude's avatar
MARCHE Claude committed
548
       <result status="valid" time="0.05"/>
MARCHE Claude's avatar
MARCHE Claude committed
549
      </proof>
550 551
      <proof prover="5" timelimit="5"
       memlimit="0">
MARCHE Claude's avatar
MARCHE Claude committed
552
       <result status="valid" time="0.04"/>
MARCHE Claude's avatar
MARCHE Claude committed
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      </proof>
554 555
      <proof prover="6" timelimit="5"
       memlimit="0">
556
       <result status="valid" time="0.11"/>
MARCHE Claude's avatar
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557 558
      </proof>
     </goal>
559 560 561
     <goal name="WP_parameter wp.6" locfile="../wp2.mlw"
      loclnum="429" loccnumb="10" loccnume="12" expl="6. variant decrease"
      sum="3c944a826eee0222ed12f60ebc891daf" proved="true"
562
      shape="variant decreaseCtaSskiptaSseqVVtaSassignVVCfaSskipfaSassignwwainfix =V10V8Oainfix =V9V8aSseqVVainfix =V12V8Oainfix =V11V8aSifwVVfaSassertwainfix =V13V8aSwhilewwVV0aSifVVVtaSassertVtaSwhileVVVV0F">
563 564 565
      <label name="expl:VC for wp"/>
      <proof prover="1" timelimit="5"
       memlimit="4000">
566 567 568
       <result status="valid" time="0.03"/>
      </proof>
     </goal>
569 570 571
     <goal name="WP_parameter wp.7" locfile="../wp2.mlw"
      loclnum="429" loccnumb="10" loccnume="12" expl="7. variant decrease"
      sum="8e40c793f783ba9a322de4637cab31e5" proved="true"
572
      shape="variant decreaseCtaSskiptaSseqVVtaSassignVVCfaSskipfaSassignwwainfix =V11V7Oainfix =V10V7aSseqVVainfix =V13V7Oainfix =V12V7aSifwVVfaSassertwainfix =V14V7aSwhilewwVV0Iavalid_tripleV9V8V1FaSifVVVtaSassertVtaSwhileVVVV0F">
573 574 575
      <label name="expl:VC for wp"/>
      <proof prover="1" timelimit="5"
       memlimit="4000">
576 577 578
       <result status="valid" time="0.04"/>
      </proof>
     </goal>
579 580 581
     <goal name="WP_parameter wp.8" locfile="../wp2.mlw"
      loclnum="429" loccnumb="10" loccnume="12" expl="8. postcondition"
      sum="266b705a3bb443081b8fe807620f964d" proved="true"
582
      shape="postconditionCtaSskiptaSseqVVtaSassignVVavalid_tripleaFandaFimpliesaFtermV6V10aFimpliesaFnotaFtermV6V9V0V1Iavalid_tripleV10V7V1FIavalid_tripleV9V8V1FaSifVVVtaSassertVtaSwhileVVVV0F">
583 584 585
      <label name="expl:VC for wp"/>
      <proof prover="4" timelimit="3" memlimit="0"
       edited="wp2_WP_WP_WP_parameter_wp_1.v">
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       <result status="valid" time="1.02"/>
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      </proof>
     </goal>
589 590 591
     <goal name="WP_parameter wp.9" locfile="../wp2.mlw"
      loclnum="429" loccnumb="10" loccnume="12" expl="9. postcondition"
      sum="d6d303530aa19106cfb89632028091fa" proved="true"
592
      shape="postconditionCtaSskiptaSseqVVtaSassignVVtaSifVVVavalid_tripleaFimpliesV9V1V0V1aSassertVtaSwhileVVVV0F">
593 594 595
      <label name="expl:VC for wp"/>
      <proof prover="0" timelimit="3"
       memlimit="0">
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       <result status="valid" time="0.02"/>
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      </proof>
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      <proof prover="2" timelimit="3"
       memlimit="0">
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       <result status="valid" time="0.04"/>
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      </proof>
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      <proof prover="3" timelimit="3"
       memlimit="0">
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       <result status="valid" time="0.04"/>
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      </proof>
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      <proof prover="5" timelimit="5"
       memlimit="0">
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       <result status="valid" time="0.04"/>
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      </proof>
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      <proof prover="6" timelimit="5"
       memlimit="0">
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       <result status="valid" time="0.11"/>
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      </proof>
     </goal>
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     <goal name="WP_parameter wp.10" locfile="../wp2.mlw"
      loclnum="429" loccnumb="10" loccnume="12" expl="10. variant decrease"
      sum="a1b11d24b6b1f26609749e1b96289f3e" proved="true"
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      shape="variant decreaseCtaSskiptaSseqVVtaSassignVVtaSifVVVtaSassertVCfaSskipfaSassignwwainfix =V14V12Oainfix =V13V12aSseqVVainfix =V16V12Oainfix =V15V12aSifwVVfaSassertwainfix =V17V12aSwhilewwVV0aSwhileVVVV0F">
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      <label name="expl:VC for wp"/>
      <proof prover="1" timelimit="5"
       memlimit="4000">
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       <result status="valid" time="0.04"/>
      </proof>
     </goal>
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     <goal name="WP_parameter wp.11" locfile="../wp2.mlw"
      loclnum="429" loccnumb="10" loccnume="12" expl="11. postcondition"
      sum="74127173f356731b4b2ee646a18befdf" proved="true"
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      shape="postconditionCtaSskiptaSseqVVtaSassignVVtaSifVVVtaSassertVavalid_tripleaFandV11V14V0V1Iaeval_fmlaV17V18V14Iamany_stepsV15V16V12V17V18aSskipV19FAaeval_fmlaV15V16aFandaFimpliesaFandaFtermV10V11V13aFimpliesaFandaFnotaFtermV10V11V1Iaeval_fmlaV15V16V14FFIavalid_tripleV13V12V11FaSwhileVVVV0F">
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      <label name="expl:VC for wp"/>
      <proof prover="4" timelimit="5" memlimit="0"
       edited="wp2_WP_WP_WP_parameter_wp_2.v">
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       <result status="valid" time="1.42"/>
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      </proof>
     </goal>
    </transf>
   </goal>
  </theory>
 </file>
</why3session>