why3session.xml 223 KB
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<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE why3session PUBLIC "-//Why3//proof session v2//EN" "http://why3.lri.fr/why3session.dtd">
<why3session shape_version="4">
 <prover
  id="0"
  name="Alt-Ergo"
  version="0.95.2"/>
 <prover
  id="1"
  name="CVC3"
  version="2.4.1"/>
 <prover
  id="2"
  name="CVC4"
  version="1.3"/>
 <prover
  id="3"
  name="Z3"
  version="3.2"/>
 <prover
  id="4"
  name="Z3"
  version="4.3.1"/>
 <file
  name="../sudoku.mlw"
  verified="true"
  expanded="true">
  <theory
   name="Grid"
   locfile="../sudoku.mlw"
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   loclnum="10" loccnumb="7" loccnume="11"
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   verified="true"
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   expanded="false">
   <goal
    name="grid_eq_sub"
    locfile="../sudoku.mlw"
    loclnum="31" loccnumb="8" loccnume="19"
    sum="fdcfcaf0fdf16dd242d8dfc17c7d4e55"
    proved="true"
    expanded="false"
    shape="agrid_eq_subV0V1V2V3Iagrid_eqV0V1Aainfix &lt;=V3c81Aainfix &lt;=c0V3Aainfix &lt;=V2c81Aainfix &lt;=c0V2F">
    <proof
     prover="0"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.02"/>
    </proof>
    <proof
     prover="1"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
    <proof
     prover="2"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.00"/>
    </proof>
    <proof
     prover="3"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.02"/>
    </proof>
    <proof
     prover="4"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
   </goal>
   <goal
    name="subset_valid_chunk"
    locfile="../sudoku.mlw"
    loclnum="125" loccnumb="8" loccnume="26"
    sum="c4024f04874718a237e221e417edd967"
    proved="true"
    expanded="false"
    shape="avalid_chunkV0V2V3V4Iavalid_chunkV1V2V3V4Aachunk_valid_indexesV3V4Aais_indexV2FIaincludedV0V1F">
    <proof
     prover="0"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.03"/>
    </proof>
    <proof
     prover="2"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.02"/>
    </proof>
    <proof
     prover="3"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.02"/>
    </proof>
    <proof
     prover="4"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
   </goal>
   <goal
    name="subset_valid"
    locfile="../sudoku.mlw"
    loclnum="131" loccnumb="8" loccnume="20"
    sum="c261153d98ca30c10c8e94db4827abcf"
    proved="true"
    expanded="false"
    shape="avalidV0V1IavalidV0V2AaincludedV1V2Aawell_formed_sudokuV0F">
    <proof
     prover="1"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.02"/>
    </proof>
    <proof
     prover="2"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.07"/>
    </proof>
    <proof
     prover="3"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.70"/>
    </proof>
    <proof
     prover="4"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.32"/>
    </proof>
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   </goal>
  </theory>
  <theory
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   name="TheClassicalSudokuGrid"
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   locfile="../sudoku.mlw"
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   loclnum="145" loccnumb="7" loccnume="29"
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   verified="true"
MARCHE Claude's avatar
MARCHE Claude committed
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   expanded="true">
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   <goal
    name="WP_parameter classical_sudoku"
    locfile="../sudoku.mlw"
    loclnum="153" loccnumb="6" loccnume="22"
    expl="VC for classical_sudoku"
    sum="783b47168dc9e49a07b862a476ba4e25"
    proved="true"
    expanded="true"
    shape="awell_formed_sudokuamk sudoku_chunksamk arrayc81V80amk arrayc9V89amk arrayc81V170amk arrayc9V179amk arrayc81V260amk arrayc9V269Iainfix =V269asetV268c8c20Aainfix &lt;=c0c9FAainfix &lt;c8c9Aainfix &lt;=c0c8Iainfix =V268asetV267c7c19Aainfix &lt;=c0c9FAainfix &lt;c7c9Aainfix &lt;=c0c7Iainfix =V267asetV266c6c18Aainfix &lt;=c0c9FAainfix &lt;c6c9Aainfix &lt;=c0c6Iainfix =V266asetV265c5c11Aainfix &lt;=c0c9FAainfix &lt;c5c9Aainfix &lt;=c0c5Iainfix =V265asetV264c4c10Aainfix &lt;=c0c9FAainfix &lt;c4c9Aainfix &lt;=c0c4Iainfix =V264asetV263c3c9Aainfix &lt;=c0c9FAainfix &lt;c3c9Aainfix &lt;=c0c3Iainfix =V263asetV262c2c2Aainfix &lt;=c0c9FAainfix &lt;c2c9Aainfix &lt;=c0c2Iainfix =V262asetV261c1c1Aainfix &lt;=c0c9FAainfix &lt;c1c9Aainfix &lt;=c0c1Iainfix =V261asetaconstc0c0c0Aainfix &lt;=c0c9FAainfix &lt;c0c9Aainfix &lt;=c0c0Iainfix &lt;=c0c9Aainfix &gt;=c9c0Iainfix =V260asetV259c80c60Aainfix &lt;=c0c81FAainfix &lt;c80c81Aainfix &lt;=c0c80Iainfix =V259asetV258c79c60Aainfix &lt;=c0c81FAainfix &lt;c79c81Aainfix &lt;=c0c79Iainfix =V258asetV257c78c60Aainfix &lt;=c0c81FAainfix &lt;c78c81Aainfix &lt;=c0c78Iainfix =V257asetV256c77c57Aainfix &lt;=c0c81FAainfix &lt;c77c81Aainfix &lt;=c0c77Iainfix =V256asetV255c76c57Aainfix &lt;=c0c81FAainfix &lt;c76c81Aainfix &lt;=c0c76Iainfix =V255asetV254c75c57Aainfix &lt;=c0c81FAainfix &lt;c75c81Aainfix &lt;=c0c75Iainfix =V254asetV253c74c54Aainfix &lt;=c0c81FAainfix &lt;c74c81Aainfix &lt;=c0c74Iainfix =V253asetV252c73c54Aainfix &lt;=c0c81FAainfix &lt;c73c81Aainfix &lt;=c0c73Iainfix =V252asetV251c72c54Aainfix &lt;=c0c81FAainfix &lt;c72c81Aainfix &lt;=c0c72Iainfix =V251asetV250c71c60Aainfix &lt;=c0c81FAainfix &lt;c71c81Aainfix &lt;=c0c71Iainfix =V250asetV249c70c60Aainfix &lt;=c0c81FAainfix &lt;c70c81Aainfix &lt;=c0c70Iainfix =V249asetV248c69c60Aainfix &lt;=c0c81FAainfix &lt;c69c81Aainfix &lt;=c0c69Iainfix =V248asetV247c68c57Aainfix &lt;=c0c81FAainfix &lt;c68c81Aainfix &lt;=c0c68Iainfix =V247asetV246c67c57Aainfix &lt;=c0c81FAainfix &lt;c67c81Aainfix &lt;=c0c67Iainfix =V246asetV245c66c57Aainfix &lt;=c0c81FAainfix &lt;c66c81Aainfix &lt;=c0c66Iainfix =V245asetV244c65c54Aainfix &lt;=c0c81FAainfix &lt;c65c81Aainfix &lt;=c0c65Iainfix =V244asetV243c64c54Aainfix &lt;=c0c81FAainfix &lt;c64c81Aainfix &lt;=c0c64Iainfix =V243asetV242c63c54Aainfix &lt;=c0c81FAainfix &lt;c63c81Aainfix &lt;=c0c63Iainfix =V242asetV241c62c60Aainfix &lt;=c0c81FAainfix &lt;c62c81Aainfix &lt;=c0c62Iainfix =V241asetV240c61c60Aainfix &lt;=c0c81FAainfix &lt;c61c81Aainfix &lt;=c0c61Iainfix =V240asetV239c60c60Aainfix &lt;=c0c81FAainfix &lt;c60c81Aainfix &lt;=c0c60Iainfix =V239asetV238c59c57Aainfix &lt;=c0c81FAainfix &lt;c59c81Aainfix &lt;=c0c59Iainfix =V238asetV237c58c57Aainfix &lt;=c0c81FAainfix &lt;c58c81Aainfix &lt;=c0c58Iainfix =V237asetV236c57c57Aainfix &lt;=c0c81FAainfix &lt;c57c81Aainfix &lt;=c0c57Iainfix =V236asetV235c56c54Aainfix &lt;=c0c81FAainfix &lt;c56c81Aainfix &lt;=c0c56Iainfix =V235asetV234c55c54Aainfix &lt;=c0c81FAainfix &lt;c55c81Aainfix &lt;=c0c55Iainfix =V234asetV233c54c54Aainfix &lt;=c0c81FAainfix &lt;c54c81Aainfix &lt;=c0c54Iainfix =V233asetV232c53c33Aainfix &lt;=c0c81FAainfix &lt;c53c81Aainfix &lt;=c0c53Iainfix =V232asetV231c52c33Aainfix &lt;=c0c81FAainfix &lt;c52c81Aainfix &lt;=c0c52Iainfix =V231asetV230c51c33Aainfix &lt;=c0c81FAainfix &lt;c51c81Aainfix &lt;=c0c51Iainfix =V230asetV229c50c30Aainfix &lt;=c0c81FAainfix &lt;c50c81Aainfix &lt;=c0c50Iainfix =V229asetV228c49c30Aainfix &lt;=c0c81FAainfix &lt;c49c81Aainfix &lt;=c0c49Iainfix =V228asetV227c48c30Aainfix &lt;=c0c81FAainfix &lt;c48c81Aainfix &lt;=c0c48Iainfix =V227asetV226c47c27Aainfix &lt;=c0c81FAainfix &lt;c47c81Aainfix &lt;=c0c47Iainfix =V226asetV225c46c27Aainfix &lt;=c0c81FAainfix &lt;c46c81Aainfix &lt;=c0c46Iainfix =V225asetV224c45c27Aainfix &lt;=c0c81FAainfix &lt;c45c81Aainfix &lt;=c0c45Iainfix =V224asetV223c44c33Aainfix &lt;=c0c81FAainfix &lt;c44c81Aainfix &lt;=c0c44Iainfix =V223asetV222c43c33Aainfix &lt;=c0c81FAainfix &lt;c43c81Aainfix &lt;=c0c43Iainfix =V222asetV221c42c33Aainfix &lt;=c0c81FAainfix &lt;c42c81Aainfix &lt;=c0c42Iainfix =V221asetV220c41c30Aainfix &lt;=c0c81FAainfix &lt;c41c81Aainfix &lt;=c0c41Iainfix =V220asetV219c40c30Aainfix &lt;=c0c81FAainfix &lt;c40c81Aainfix &lt;=c0c40Iainfix =V219asetV218c39c30Aainfix &lt;=c0c81FAainfix &lt;c39c81Aainfix &lt;=c0c39Iainfix =V218asetV217c38c27Aainfix &lt;=c0c81FAainfix &lt;c38c81Aainfix &lt;=c0c38Iainfix =V217asetV216c37c27Aainfix &lt;=c0c81FAainfix &lt;c37c81Aainfix &lt;=c0c37Iainfix =V216asetV215c36c27Aainfix &lt;=c0c81FAainfix &lt;c36c81Aainfix &lt;=c0c36Iainfix =V215asetV214c35c33Aainfix &lt;=c0c81FAainfix &lt;c35c81Aainfix &lt;=c0c35Iainfix =V214asetV213c34c33Aainfix &lt;=c0c81FAainfix &lt;c34c81Aainfix &lt;=c0c34Iainfix =V213asetV212c33c33Aainfix &lt;=c0c81FAainfix &lt;c33c81Aainfix &lt;=c0c33Iainfix =V212asetV211c32c30Aainfix &lt;=c0c81FAainfix &lt;c32c81Aainfix &lt;=c0c32Iainfix =V211asetV210c31c30Aainfix &lt;=c0c81FAainfix &lt;c31c81Aainfix &lt;=c0c31Iainfix =V210asetV209c30c30Aainfix &lt;=c0c81FAainfix &lt;c30c81Aainfix &lt;=c0c30Iainfix =V209asetV208c29c27Aainfix &lt;=c0c81FAainfix &lt;c29c81Aainfix &lt;=c0c29Iainfix =V208asetV207c28c27Aainfix &lt;=c0c81FAainfix &lt;c28c81Aainfix &lt;=c0c28Iainfix =V207asetV206c27c27Aainfix &lt;=c0c81FAainfix &lt;c27c81Aainfix &lt;=c0c27Iainfix =V206asetV205c26c6Aainfix &lt;=c0c81FAainfix &lt;c26c81Aainfix &lt;=c0c26Iainfix =V205asetV204c25c6Aainfix &lt;=c0c81FAainfix &lt;c25c81Aainfix &lt;=c0c25Iainfix =V204asetV203c24c6Aainfix &lt;=c0c81FAainfix &lt;c24c81Aainfix &lt;=c0c24Iainfix =V203asetV202c23c3Aainfix &lt;=c0c81FAainfix &lt;c23c81Aainfix &lt;=c0c23Iainfix =V202asetV201c22c3Aainfix &lt;=c0c81FAainfix &lt;c22c81Aainfix &lt;=c0c22Iainfix =V201asetV200c21c3Aainfix &lt;=c0c81FAainfix &lt;c21c81Aainfix &lt;=c0c21Iainfix =V200asetV199c20c0Aainfix &lt;=c0c81FAainfix &lt;c20c81Aainfix &lt;=c0c20Iainfix =V199asetV198c19c0Aainfix &lt;=c0c81FAainfix &lt;c19c81Aainfix &lt;=c0c19Iainfix =V198asetV197c18c0Aainfix &lt;=c0c81FAainfix &lt;c18c81Aainfix &lt;=c0c18Iainfix =V197asetV196c17c6Aainfix &lt;=c0c81FAainfix &lt;c17c81Aainfix &lt;=c0c17Iainfix =V196asetV195c16c6Aainfix &lt;=c0c81FAainfix &lt;c16c81Aainfix &lt;=c0c16Iainfix =V195asetV194c15c6Aainfix &lt;=c0c81FAainfix &lt;c15c81Aainfix &lt;=c0c15Iainfix =V194asetV193c14c3Aainfix &lt;=c0c81FAainfix &lt;c14c81Aainfix &lt;=c0c14Iainfix =V193asetV192c13c3Aainfix &lt;=c0c81FAainfix &lt;c13c81Aainfix &lt;=c0c13Iainfix =V192asetV191c12c3Aainfix &lt;=c0c81FAainfix &lt;c12c81Aainfix &lt;=c0c12Iainfix =V191asetV190c11c0Aainfix &lt;=c0c81FAainfix &lt;c11c81Aainfix &lt;=c0c11Iainfix =V190asetV189c10c0Aainfix &lt;=c0c81FAainfix &lt;c10c81Aainfix &lt;=c0c10Iainfix =V189asetV188c9c0Aainfix &lt;=c0c81FAainfix &lt;c9c81Aainfix &lt;=c0c9Iainfix =V188asetV187c8c6Aainfix &lt;=c0c81FAainfix &lt;c8c81Aainfix &lt;=c0c8Iainfix =V187asetV186c7c6Aainfix &lt;=c0c81FAainfix &lt;c7c81Aainfix &lt;=c0c7Iainfix =V186asetV185c6c6Aainfix &lt;=c0c81FAainfix &lt;c6c81Aainfix &lt;=c0c6Iainfix =V185asetV184c5c3Aainfix &lt;=c0c81FAainfix &lt;c5c81Aainfix &lt;=c0c5Iainfix =V184asetV183c4c3Aainfix &lt;=c0c81FAainfix &lt;c4c81Aainfix &lt;=c0c4Iainfix =V183asetV182c3c3Aainfix &lt;=c0c81FAainfix &lt;c3c81Aainfix &lt;=c0c3Iainfix =V182asetV181c2c0Aainfix &lt;=c0c81FAainfix &lt;c2c81Aainfix &lt;=c0c2Iainfix =V181asetV180c1c0Aainfix &lt;=c0c81FAainfix &lt;c1c81Aainfix &lt;=c0c1Iainfix =V180asetaconstc0c0c0Aainfix &lt;=c0c81FAainfix &lt;c0c81Aainfix &lt;=c0c0Iainfix &lt;=c0c81Aainfix &gt;=c81c0Iainfix =V179asetV178c8c8Aainfix &lt;=c0c9FAainfix &lt;c8c9Aainfix &lt;=c0c8Iainfix =V178asetV177c7c7Aainfix &lt;=c0c9FAainfix &lt;c7c9Aainfix &lt;=c0c7Iainfix =V177asetV176c6c6Aainfix &lt;=c0c9FAainfix &lt;c6c9Aainfix &lt;=c0c6Iainfix =V176asetV175c5c5Aainfix &lt;=c0c9FAainfix &lt;c5c9Aainfix &lt;=c0c5Iainfix =V175asetV174c4c4Aainfix &lt;=c0c9FAainfix &lt;c4c9Aainfix &lt;=c0c4Iainfix =V174asetV173c3c3Aainfix &lt;=c0c9FAainfix &lt;c3c9Aainfix &lt;=c0c3Iainfix =V173asetV172c2c2Aainfix &lt;=c0c9FAainfix &lt;c2c9Aainfix &lt;=c0c2Iainfix =V172asetV171c1c1Aainfix &lt;=c0c9FAainfix &lt;c1c9Aainfix &lt;=c0c1Iainfix =V171asetaconstc0c0c0Aainfix &lt;=c0c9FAainfix &lt;c0c9Aainfix &lt;=c0c0Iainfix &lt;=c0c9Aainfix &gt;=c9c0Iainfix =V170asetV169c80c72Aainfix &lt;=c0c81FAainfix &lt;c80c81Aainfix &lt;=c0c80Iainfix =V169asetV168c79c72Aainfix &lt;=c0c81FAainfix &lt;c79c81Aainfix &lt;=c0c79Iainfix =V168asetV167c78c72Aainfix &lt;=c0c81FAainfix &lt;c78c81Aainfix &lt;=c0c78Iainfix =V167asetV166c77c72Aainfix &lt;=c0c81FAainfix &lt;c77c81Aainfix &lt;=c0c77Iainfix =V166asetV165c76c72Aainfix &lt;=c0c81FAainfix &lt;c76c81Aainfix &lt;=c0c76Iainfix =V165asetV164c75c72Aainfix &lt;=c0c81FAainfix &lt;c75c81Aainfix &lt;=c0c75Iainfix =V164asetV163c74c72Aainfix &lt;=c0c81FAainfix &lt;c74c81Aainfix &lt;=c0c74Iainfix =V163asetV162c73c72Aainfix &lt;=c0c81FAainfix &lt;c73c81Aainfix &lt;=c0c73Iainfix =V162asetV161c72c72Aainfix &lt;=c0c81FAainfix &lt;c72c81Aainfix &lt;=c0c72Iainfix =V161asetV160c71c63Aainfix &lt;=c0c81FAainfix &lt;c71c81Aainfix &lt;=c0c71Iainfix =V160asetV159c70c63Aainfix &lt;=c0c81FAainfix &lt;c70c81Aainfix &lt;=c0c70Iainfix =V159asetV158c69c63Aainfix &lt;=c0c81FAainfix &lt;c69c81Aainfix &lt;=c0c69Iainfix =V158asetV157c68c63Aainfix &lt;=c0c81FAainfix &lt;c68c81Aainfix &lt;=c0c68Iainfix =V157asetV156c67c63Aainfix &lt;=c0c81FAainfix &lt;c67c81Aainfix &lt;=c0c67Iainfix =V156asetV155c66c63Aainfix &lt;=c0c81FAainfix &lt;c66c81Aainfix &lt;=c0c66Iainfix =V155asetV154c65c63Aainfix &lt;=c0c81FAainfix &lt;c65c81Aainfix &lt;=c0c65Iainfix =V154asetV153c64c63Aainfix &lt;=c0c81FAainfix &lt;c64c81Aainfix &lt;=c0c64Iainfix =V153asetV152c63c63Aainfix &lt;=c0c81FAainfix &lt;c63c81Aainfix &lt;=c0c63Iainfix =V152asetV151c62c54Aainfix &lt;=c0c81FAainfix &lt;c62c81Aainfix &lt;=c0c62Iainfix =V151asetV150c61c54Aainfix &lt;=c0c81FAainfix &lt;c61c81Aainfix &lt;=c0c61Iainfix =V150asetV149c60c54Aainfix &lt;=c0c81FAainfix &lt;c60c81Aainfix &lt;=c0c60Iainfix =V149asetV148c59c54Aainfix &lt;=c0c81FAainfix &lt;c59c81Aainfix &lt;=c0c59Iainfix =V148asetV147c58c54Aainfix &lt;=c0c81FAainfix &lt;c58c81Aainfix &lt;=c0c58Iainfix =V147asetV146c57c54Aainfix &lt;=c0c81FAainfix &lt;c57c81Aainfix &lt;=c0c57Iainfix =V146asetV145c56c54Aainfix &lt;=c0c81FAainfix &lt;c56c81Aainfix &lt;=c0c56Iainfix =V145asetV144c55c54Aainfix &lt;=c0c81FAainfix &lt;c55c81Aainfix &lt;=c0c55Iainfix =V144asetV143c54c54Aainfix &lt;=c0c81FAainfix &lt;c54c81Aainfix &lt;=c0c54Iainfix =V143asetV142c53c45Aainfix &lt;=c0c81FAainfix &lt;c53c81Aainfix &lt;=c0c53Iainfix =V142asetV141c52c45Aainfix &lt;=c0c81FAainfix &lt;c52c81Aainfix &lt;=c0c52Iainfix =V141asetV140c51c45Aainfix &lt;=c0c81FAainfix &lt;c51c81Aainfix &lt;=c0c51Iainfix =V140asetV139c50c45Aainfix &lt;=c0c81FAainfix &lt;c50c81Aainfix &lt;=c0c50Iainfix =V139asetV138c49c45Aainfix &lt;=c0c81FAainfix &lt;c49c81Aainfix &lt;=c0c49Iainfix =V138asetV137c48c45Aainfix &lt;=c0c81FAainfix &lt;c48c81Aainfix &lt;=c0c48Iainfix =V137asetV136c47c45Aainfix &lt;=c0c81FAainfix &lt;c47c81Aainfix &lt;=c0c47Iainfix =V136asetV135c46c45Aainfix &lt;=c0c81FAainfix &lt;c46c81Aainfix &lt;=c0c46Iainfix =V135asetV134c45c45Aainfix &lt;=c0c81FAainfix &lt;c45c81Aainfix &lt;=c0c45Iainfix =V134asetV133c44c36Aainfix &lt;=c0c81FAainfix &lt;c44c81Aainfix &lt;=c0c44Iainfix =V133asetV132c43c36Aainfix &lt;=c0c81FAainfix &lt;c43c81Aainfix &lt;=c0c43Iainfix =V132asetV131c42c36Aainfix &lt;=c0c81FAainfix &lt;c42c81Aainfix &lt;=c0c42Iainfix =V131asetV130c41c36Aainfix &lt;=c0c81FAainfix &lt;c41c81Aainfix &lt;=c0c41Iainfix =V130asetV129c40c36Aainfix &lt;=c0c81FAainfix &lt;c40c81Aainfix &lt;=c0c40Iainfix =V129asetV128c39c36Aainfix &lt;=c0c81FAainfix &lt;c39c81Aainfix &lt;=c0c39Iainfix =V128asetV127c38c36Aainfix &lt;=c0c81FAainfix &lt;c38c81Aainfix &lt;=c0c38Iainfix =V127asetV126c37c36Aainfix &lt;=c0c81FAainfix &lt;c37c81Aainfix &lt;=c0c37Iainfix =V126asetV125c36c36Aainfix &lt;=c0c81FAainfix &lt;c36c81Aainfix &lt;=c0c36Iainfix =V125asetV124c35c27Aainfix &lt;=c0c81FAainfix &lt;c35c81Aainfix &lt;=c0c35Iainfix =V124asetV123c34c27Aainfix &lt;=c0c81FAainfix &lt;c34c81Aainfix &lt;=c0c34Iainfix =V123asetV122c33c27Aainfix &lt;=c0c81FAainfix &lt;c33c81Aainfix &lt;=c0c33Iainfix =V122asetV121c32c27Aainfix &lt;=c0c81FAainfix &lt;c32c81Aainfix &lt;=c0c32Iainfix =V121asetV120c31c27Aainfix &lt;=c0c81FAainfix &lt;c31c81Aainfix &lt;=c0c31Iainfix =V120asetV119c30c27Aainfix &lt;=c0c81FAainfix &lt;c30c81Aainfix &lt;=c0c30Iainfix =V119asetV118c29c27Aainfix &lt;=c0c81FAainfix &lt;c29c81Aainfix &lt;=c0c29Iainfix =V118asetV117c28c27Aainfix &lt;=c0c81FAainfix &lt;c28c81Aainfix &lt;=c0c28Iainfix =V117asetV116c27c27Aainfix &lt;=c0c81FAainfix &lt;c27c81Aainfix &lt;=c0c27Iainfix =V116asetV115c26c18Aainfix &lt;=c0c81FAainfix &lt;c26c81Aainfix &lt;=c0c26Iainfix =V115asetV114c25c18Aainfix &lt;=c0c81FAainfix &lt;c25c81Aainfix &lt;=c0c25Iainfix =V114asetV113c24c18Aainfix &lt;=c0c81FAainfix &lt;c24c81Aainfix &lt;=c0c24Iainfix =V113asetV112c23c18Aainfix &lt;=c0c81FAainfix &lt;c23c81Aainfix &lt;=c0c23Iainfix =V112asetV111c22c18Aainfix &lt;=c0c81FAainfix &lt;c22c81Aainfix &lt;=c0c22Iainfix =V111asetV110c21c18Aainfix &lt;=c0c81FAainfix &lt;c21c81Aainfix &lt;=c0c21Iainfix =V110asetV109c20c18Aainfix &lt;=c0c81FAainfix &lt;c20c81Aainfix &lt;=c0c20Iainfix =V109asetV108c19c18Aainfix &lt;=c0c81FAainfix &lt;c19c81Aainfix &lt;=c0c19Iainfix =V108asetV107c18c18Aainfix &lt;=c0c81FAainfix &lt;c18c81Aainfix &lt;=c0c18Iainfix =V107asetV106c17c9Aainfix &lt;=c0c81FAainfix &lt;c17c81Aainfix &lt;=c0c17Iainfix =V106asetV105c16c9Aainfix &lt;=c0c81FAainfix &lt;c16c81Aainfix &lt;=c0c16Iainfix =V105asetV104c15c9Aainfix &lt;=c0c81FAainfix &lt;c15c81Aainfix &lt;=c0c15Iainfix =V104asetV103c14c9Aainfix &lt;=c0c81FAainfix &lt;c14c81Aainfix &lt;=c0c14Iainfix =V103asetV102c13c9Aainfix &lt;=c0c81FAainfix &lt;c13c81Aainfix &lt;=c0c13Iainfix =V102asetV101c12c9Aainfix &lt;=c0c81FAainfix &lt;c12c81Aainfix &lt;=c0c12Iainfix =V101asetV100c11c9Aainfix &lt;=c0c81FAainfix &lt;c11c81Aainfix &lt;=c0c11Iainfix =V100asetV99c10c9Aainfix &lt;=c0c81FAainfix &lt;c10c81Aainfix &lt;=c0c10Iainfix =V99asetV98c9c9Aainfix &lt;=c0c81FAainfix &lt;c9c81Aainfix &lt;=c0c9Iainfix =V98asetV97c8c0Aainfix &lt;=c0c81FAainfix &lt;c8c81Aainfix &lt;=c0c8Iainfix =V97asetV96c7c0Aainfix &lt;=c0c81FAainfix &lt;c7c81Aainfix &lt;=c0c7Iainfix =V96asetV95c6c0Aainfix &lt;=c0c81FAainfix &lt;c6c81Aainfix &lt;=c0c6Iainfix =V95asetV94c5c0Aainfix &lt;=c0c81FAainfix &lt;c5c81Aainfix &lt;=c0c5Iainfix =V94asetV93c4c0Aainfix &lt;=c0c81FAainfix &lt;c4c81Aainfix &lt;=c0c4Iainfix =V93asetV92c3c0Aainfix &lt;=c0c81FAainfix &lt;c3c81Aainfix &lt;=c0c3Iainfix =V92asetV91c2c0Aainfix &lt;=c0c81FAainfix &lt;c2c81Aainfix &lt;=c0c2Iainfix =V91asetV90c1c0Aainfix &lt;=c0c81FAainfix &lt;c1c81Aainfix &lt;=c0c1Iainfix =V90asetaconstc0c0c0Aainfix &lt;=c0c81FAainfix &lt;c0c81Aainfix &lt;=c0c0Iainfix &lt;=c0c81Aainfix &gt;=c81c0Iainfix =V89asetV88c8c72Aainfix &lt;=c0c9FAainfix &lt;c8c9Aainfix &lt;=c0c8Iainfix =V88asetV87c7c63Aainfix &lt;=c0c9FAainfix &lt;c7c9Aainfix &lt;=c0c7Iainfix =V87asetV86c6c54Aainfix &lt;=c0c9FAainfix &lt;c6c9Aainfix &lt;=c0c6Iainfix =V86asetV85c5c45Aainfix &lt;=c0c9FAainfix &lt;c5c9Aainfix &lt;=c0c5Iainfix =V85asetV84c4c36Aainfix &lt;=c0c9FAainfix &lt;c4c9Aainfix &lt;=c0c4Iainfix =V84asetV83c3c27Aainfix &lt;=c0c9FAainfix &lt;c3c9Aainfix &lt;=c0c3Iainfix =V83asetV82c2c18Aainfix &lt;=c0c9FAainfix &lt;c2c9Aainfix &lt;=c0c2Iainfix =V82asetV81c1c9Aainfix &lt;=c0c9FAainfix &lt;c1c9Aainfix &lt;=c0c1Iainfix =V81asetaconstc0c0c0Aainfix &lt;=c0c9FAainfix &lt;c0c9Aainfix &lt;=c0c0Iainfix &lt;=c0c9Aainfix &gt;=c9c0Iainfix =V80asetV79c80c8Aainfix &lt;=c0c81FAainfix &lt;c80c81Aainfix &lt;=c0c80Iainfix =V79asetV78c79c7Aainfix &lt;=c0c81FAainfix &lt;c79c81Aainfix &lt;=c0c79Iainfix =V78asetV77c78c6Aainfix &lt;=c0c81FAainfix &lt;c78c81Aainfix &lt;=c0c78Iainfix =V77asetV76c77c5Aainfix &lt;=c0c81FAainfix &lt;c77c81Aainfix &lt;=c0c77Iainfix =V76asetV75c76c4Aainfix &lt;=c0c81FAainfix &lt;c76c81Aainfix &lt;=c0c76Iainfix =V75asetV74c75c3Aainfix &lt;=c0c81FAainfix &lt;c75c81Aainfix &lt;=c0c75Iainfix =V74asetV73c74c2Aainfix &lt;=c0c81FAainfix &lt;c74c81Aainfix &lt;=c0c74Iainfix =V73asetV72c73c1Aainfix &lt;=c0c81FAainfix &lt;c73c81Aainfix &lt;=c0c73Iainfix =V72asetV71c72c0Aainfix &lt;=c0c81FAainfix &lt;c72c81Aainfix &lt;=c0c72Iainfix =V71asetV70c71c8Aainfix &lt;=c0c81FAainfix &lt;c71c81Aainfix &lt;=c0c71Iainfix =V70asetV69c70c7Aainfix &lt;=c0c81FAainfix &lt;c70c81Aainfix &lt;=c0c70Iainfix =V69asetV68c69c6Aainfix &lt;=c0c81FAainfix &lt;c69c81Aainfix &lt;=c0c69Iainfix =V68asetV67c68c5Aainfix &lt;=c0c81FAainfix &lt;c68c81Aainfix &lt;=c0c68Iainfix =V67asetV66c67c4Aainfix &lt;=c0c81FAainfix &lt;c67c81Aainfix &lt;=c0c67Iainfix =V66asetV65c66c3Aainfix &lt;=c0c81FAainfix &lt;c66c81Aainfix &lt;=c0c66Iainfix =V65asetV64c65c2Aainfix &lt;=c0c81FAainfix &lt;c65c81Aainfix &lt;=c0c65Iainfix =V64asetV63c64c1Aainfix &lt;=c0c81FAainfix &lt;c64c81Aainfix &lt;=c0c64Iainfix =V63asetV62c63c0Aainfix &lt;=c0c81FAainfix &lt;c63c81Aainfix &lt;=c0c63Iainfix =V62asetV61c62c8Aainfix &lt;=c0c81FAainfix &lt;c62c81Aainfix &lt;=c0c62Iainfix =V61asetV60c61c7Aainfix &lt;=c0c81FAainfix &lt;c61c81Aainfix &lt;=c0c61Iainfix =V60asetV59c60c6Aainfix &lt;=c0c81FAainfix &lt;c60c81Aainfix &lt;=c0c60Iainfix =V59asetV58c59c5Aainfix &lt;=c0c81FAainfix &lt;c59c81Aainfix &lt;=c0c59Iainfix =V58asetV57c58c4Aainfix &lt;=c0c81FAainfix &lt;c58c81Aainfix &lt;=c0c58Iainfix =V57asetV56c57c3Aainfix &lt;=c0c81FAainfix &lt;c57c81Aainfix &lt;=c0c57Iainfix =V56asetV55c56c2Aainfix &lt;=c0c81FAainfix &lt;c56c81Aainfix &lt;=c0c56Iainfix =V55asetV54c55c1Aainfix &lt;=c0c81FAainfix &lt;c55c81Aainfix &lt;=c0c55Iainfix =V54asetV53c54c0Aainfix &lt;=c0c81FAainfix &lt;c54c81Aainfix &lt;=c0c54Iainfix =V53asetV52c53c8Aainfix &lt;=c0c81FAainfix &lt;c53c81Aainfix &lt;=c0c53Iainfix =V52asetV51c52c7Aainfix &lt;=c0c81FAainfix &lt;c52c81Aainfix &lt;=c0c52Iainfix =V51asetV50c51c6Aainfix &lt;=c0c81FAainfix &lt;c51c81Aainfix &lt;=c0c51Iainfix =V50asetV49c50c5Aainfix &lt;=c0c81FAainfix &lt;c50c81Aainfix &lt;=c0c50Iainfix =V49asetV48c49c4Aainfix &lt;=c0c81FAainfix &lt;c49c81Aainfix &lt;=c0c49Iainfix =V48asetV47c48c3Aainfix &lt;=c0c81FAainfix &lt;c48c81Aainfix &lt;=c0c48Iainfix =V47asetV46c47c2Aainfix &lt;=c0c81FAainfix &lt;c47c81Aainfix &lt;=c0c47Iainfix =V46asetV45c46c1Aainfix &lt;=c0c81FAainfix &lt;c46c81Aainfix &lt;=c0c46Iainfix =V45asetV44c45c0Aainfix &lt;=c0c81FAainfix &lt;c45c81Aainfix &lt;=c0c45Iainfix =V44asetV43c44c8Aainfix &lt;=c0c81FAainfix &lt;c44c81Aainfix &lt;=c0c44Iainfix =V43asetV42c43c7Aainfix &lt;=c0c81FAainfix &lt;c43c81Aainfix &lt;=c0c43Iainfix =V42asetV41c42c6Aainfix &lt;=c0c81FAainfix &lt;c42c81Aainfix &lt;=c0c42Iainfix =V41asetV40c41c5Aainfix &lt;=c0c81FAainfix &lt;c41c81Aainfix &lt;=c0c41Iainfix =V40asetV39c40c4Aainfix &lt;=c0c81FAainfix &lt;c40c81Aainfix &lt;=c0c40Iainfix =V39asetV38c39c3Aainfix &lt;=c0c81FAainfix &lt;c39c81Aainfix &lt;=c0c39Iainfix =V38asetV37c38c2Aainfix &lt;=c0c81FAainfix &lt;c38c81Aainfix &lt;=c0c38Iainfix =V37asetV36c37c1Aainfix &lt;=c0c81FAainfix &lt;c37c81Aainfix &lt;=c0c37Iainfix =V36asetV35c36c0Aainfix &lt;=c0c81FAainfix &lt;c36c81Aainfix &lt;=c0c36Iainfix =V35asetV34c35c8Aainfix &lt;=c0c81FAainfix &lt;c35c81Aainfix &lt;=c0c35Iainfix =V34asetV33c34c7Aainfix &lt;=c0c81FAainfix &lt;c34c81Aainfix &lt;=c0c34Iainfix =V33asetV32c33c6Aainfix &lt;=c0c81FAainfix &lt;c33c81Aainfix &lt;=c0c33Iainfix =V32asetV31c32c5Aainfix &lt;=c0c81FAainfix &lt;c32c81Aainfix &lt;=c0c32Iainfix =V31asetV30c31c4Aainfix &lt;=c0c81FAainfix &lt;c31c81Aainfix &lt;=c0c31Iainfix =V30asetV29c30c3Aainfix &lt;=c0c81FAainfix &lt;c30c81Aainfix &lt;=c0c30Iainfix =V29asetV28c29c2Aainfix &lt;=c0c81FAainfix &lt;c29c81Aainfix &lt;=c0c29Iainfix =V28asetV27c28c1Aainfix &lt;=c0c81FAainfix &lt;c28c81Aainfix &lt;=c0c28Iainfix =V27asetV26c27c0Aainfix &lt;=c0c81FAainfix &lt;c27c81Aainfix &lt;=c0c27Iainfix =V26asetV25c26c8Aainfix &lt;=c0c81FAainfix &lt;c26c81Aainfix &lt;=c0c26Iainfix =V25asetV24c25c7Aainfix &lt;=c0c81FAainfix &lt;c25c81Aainfix &lt;=c0c25Iainfix =V24asetV23c24c6Aainfix &lt;=c0c81FAainfix &lt;c24c81Aainfix &lt;=c0c24Iainfix =V23asetV22c23c5Aainfix &lt;=c0c81FAainfix &lt;c23c81Aainfix &lt;=c0c23Iainfix =V22asetV21c22c4Aainfix &lt;=c0c81FAainfix &lt;c22c81Aainfix &lt;=c0c22Iainfix =V21asetV20c21c3Aainfix &lt;=c0c81FAainfix &lt;c21c81Aainfix &lt;=c0c21Iainfix =V20asetV19c20c2Aainfix &lt;=c0c81FAainfix &lt;c20c81Aainfix &lt;=c0c20Iainfix =V19asetV18c19c1Aainfix &lt;=c0c81FAainfix &lt;c19c81Aainfix &lt;=c0c19Iainfix =V18asetV17c18c0Aainfix &lt;=c0c81FAainfix &lt;c18c81Aainfix &lt;=c0c18Iainfix =V17asetV16c17c8Aainfix &lt;=c0c81FAainfix &lt;c17c81Aainfix &lt;=c0c17Iainfix =V16asetV15c16c7Aainfix &lt;=c0c81FAainfix &lt;c16c81Aainfix &lt;=c0c16Iainfix =V15asetV14c15c6Aainfix &lt;=c0c81FAainfix &lt;c15c81Aainfix &lt;=c0c15Iainfix =V14asetV13c14c5Aainfix &lt;=c0c81FAainfix &lt;c14c81Aainfix &lt;=c0c14Iainfix =V13asetV12c13c4Aainfix &lt;=c0c81FAainfix &lt;c13c81Aainfix &lt;=c0c13Iainfix =V12asetV11c12c3Aainfix &lt;=c0c81FAainfix &lt;c12c81Aainfix &lt;=c0c12Iainfix =V11asetV10c11c2Aainfix &lt;=c0c81FAainfix &lt;c11c81Aainfix &lt;=c0c11Iainfix =V10asetV9c10c1Aainfix &lt;=c0c81FAainfix &lt;c10c81Aainfix &lt;=c0c10Iainfix =V9asetV8c9c0Aainfix &lt;=c0c81FAainfix &lt;c9c81Aainfix &lt;=c0c9Iainfix =V8asetV7c8c8Aainfix &lt;=c0c81FAainfix &lt;c8c81Aainfix &lt;=c0c8Iainfix =V7asetV6c7c7Aainfix &lt;=c0c81FAainfix &lt;c7c81Aainfix &lt;=c0c7Iainfix =V6asetV5c6c6Aainfix &lt;=c0c81FAainfix &lt;c6c81Aainfix &lt;=c0c6Iainfix =V5asetV4c5c5Aainfix &lt;=c0c81FAainfix &lt;c5c81Aainfix &lt;=c0c5Iainfix =V4asetV3c4c4Aainfix &lt;=c0c81FAainfix &lt;c4c81Aainfix &lt;=c0c4Iainfix =V3asetV2c3c3Aainfix &lt;=c0c81FAainfix &lt;c3c81Aainfix &lt;=c0c3Iainfix =V2asetV1c2c2Aainfix &lt;=c0c81FAainfix &lt;c2c81Aainfix &lt;=c0c2Iainfix =V1asetV0c1c1Aainfix &lt;=c0c81FAainfix &lt;c1c81Aainfix &lt;=c0c1Iainfix =V0asetaconstc0c0c0Aainfix &lt;=c0c81FAainfix &lt;c0c81Aainfix &lt;=c0c0Iainfix &lt;=c0c81Aainfix &gt;=c81c0">
    <label
     name="expl:VC for classical_sudoku"/>
    <proof
     prover="3"
     timelimit="6"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="1.06"/>
    </proof>
    <proof
     prover="4"
     timelimit="6"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="1.44"/>
    </proof>
   </goal>
  </theory>
  <theory
   name="Solver"
   locfile="../sudoku.mlw"
   loclnum="230" loccnumb="7" loccnume="13"
   verified="true"
   expanded="false">
207 208 209
   <goal
    name="WP_parameter check_valid_chunk"
    locfile="../sudoku.mlw"
210
    loclnum="253" loccnumb="6" loccnume="23"
211
    expl="VC for check_valid_chunk"
MARCHE Claude's avatar
MARCHE Claude committed
212
    sum="582dcb13ebed105f9873e40dbf86679f"
213 214
    proved="true"
    expanded="false"
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    shape="avalid_chunkV1V2V8V7Iainfix =agetV1ainfix +V9agetV6V12V11Aainfix &lt;V12ainfix +c8c1Aainfix &lt;=c0V12EIainfix =agetV10V11aTrueIainfix &lt;=V11c9Aainfix &lt;=c1V11FAainfix =agetV10V14aTrueIainfix &lt;=V14c9Aainfix &lt;=c1V14LagetV1ainfix +V9agetV6V13Iainfix &lt;V13ainfix +c8c1Aainfix &lt;=c0V13FAavalid_chunk_up_toV1V2V8V7ainfix +c8c1Aiainfix =agetV1ainfix +V9agetV6V19V18Aainfix &lt;V19ainfix +V15c1Aainfix &lt;=c0V19EIainfix =agetV10V18aTrueIainfix &lt;=V18c9Aainfix &lt;=c1V18FAainfix =agetV10V21aTrueIainfix &lt;=V21c9Aainfix &lt;=c1V21LagetV1ainfix +V9agetV6V20Iainfix &lt;V20ainfix +V15c1Aainfix &lt;=c0V20FAavalid_chunk_up_toV1V2V8V7ainfix +V15c1iainfix =agetV1ainfix +V9agetV6V24V23Aainfix &lt;V24ainfix +V15c1Aainfix &lt;=c0V24EIainfix =agetV22V23aTrueIainfix &lt;=V23c9Aainfix &lt;=c1V23FAainfix =agetV22V26aTrueIainfix &lt;=V26c9Aainfix &lt;=c1V26LagetV1ainfix +V9agetV6V25Iainfix &lt;V25ainfix +V15c1Aainfix &lt;=c0V25FAavalid_chunk_up_toV1V2V8V7ainfix +V15c1Iainfix =V22asetV10V17aTrueAainfix &lt;=c0c10FAainfix &lt;V17c10Aainfix &lt;=c0V17Navalid_chunkV1V2V8V7ainfix =agetV10V17aTrueAainfix &lt;V17c10Aainfix &lt;=c0V17Aainfix &lt;=c0c10ainfix &lt;=V17c9Aainfix &lt;=c1V17LagetV1V16Aainfix &lt;V16V0Aainfix &lt;=c0V16Lainfix +V9agetV6V15Aainfix &lt;V15V5Aainfix &lt;=c0V15Iainfix =agetV1ainfix +V9agetV6V28V27Aainfix &lt;V28V15Aainfix &lt;=c0V28EIainfix =agetV10V27aTrueIainfix &lt;=V27c9Aainfix &lt;=c1V27FAainfix =agetV10V30aTrueIainfix &lt;=V30c9Aainfix &lt;=c1V30LagetV1ainfix +V9agetV6V29Iainfix &lt;V29V15Aainfix &lt;=c0V29FAavalid_chunk_up_toV1V2V8V7V15Iainfix &lt;=V15c8Aainfix &lt;=c0V15FFAainfix =agetV1ainfix +V9agetV6V32V31Aainfix &lt;V32c0Aainfix &lt;=c0V32EIainfix =agetaconstaFalseV31aTrueIainfix &lt;=V31c9Aainfix &lt;=c1V31FAainfix =agetaconstaFalseV34aTrueIainfix &lt;=V34c9Aainfix &lt;=c1V34LagetV1ainfix +V9agetV6V33Iainfix &lt;V33c0Aainfix &lt;=c0V33FAavalid_chunk_up_toV1V2V8V7c0Iainfix &lt;=c0c8Aavalid_chunkV1V2V8V7Iainfix &gt;c0c8Iainfix &lt;=c0c10Aainfix &gt;=c10c0LagetV4V2Aainfix &lt;V2V3Aainfix &lt;=c0V2Iachunk_valid_indexesV8V7Aais_indexV2Aavalid_valuesV1Aainfix =V0c81Aainfix &lt;=c0V5Aainfix &lt;=c0V3Aainfix &lt;=c0V0Lamk arrayV3V4Lamk arrayV5V6F">
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    <label
     name="expl:VC for check_valid_chunk"/>
    <proof
     prover="0"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="3.56"/>
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    </proof>
    <proof
     prover="3"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.81"/>
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    </proof>
    <proof
     prover="4"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="timeout" time="6.00"/>
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    </proof>
   </goal>
   <goal
    name="WP_parameter check_valid"
    locfile="../sudoku.mlw"
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    loclnum="288" loccnumb="6" loccnume="17"
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    expl="VC for check_valid"
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    sum="e76b8dcef4290927340f71879b7ee88f"
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    proved="true"
    expanded="false"
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    shape="avalidV14V13Iavalid_up_toV14V13ainfix +c80c1ANavalidV14V13INavalid_chunkV13V15V17V16ANavalidV14V13INavalid_chunkV13V15V19V18ANavalidV14V13INavalid_chunkV13V15V21V20Aavalid_up_toV14V13ainfix +V15c1Iavalid_chunkV13V15V21V20Aachunk_valid_indexesV21V20Aais_indexV15Aavalid_valuesV13Aainfix =V12c81Lamk arrayV8V9Lamk arrayV10V11Iavalid_chunkV13V15V19V18Aachunk_valid_indexesV19V18Aais_indexV15Aavalid_valuesV13Aainfix =V12c81Lamk arrayV4V5Lamk arrayV6V7Iavalid_chunkV13V15V17V16Aachunk_valid_indexesV17V16Aais_indexV15Aavalid_valuesV13Aainfix =V12c81Lamk arrayV0V1Lamk arrayV2V3Iavalid_up_toV14V13V15Iainfix &lt;=V15c80Aainfix &lt;=c0V15FAavalid_up_toV14V13c0Iainfix &lt;=c0c80AavalidV14V13Iainfix &gt;c0c80Iavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV14Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
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    <label
     name="expl:VC for check_valid"/>
    <proof
     prover="1"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.11"/>
    </proof>
   </goal>
   <goal
    name="full_up_to_change"
    locfile="../sudoku.mlw"
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    loclnum="310" loccnumb="8" loccnume="25"
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    sum="54c46f7e914eabce24591e1affd6aa67"
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    proved="true"
    expanded="false"
    shape="afull_up_toasetV0V1V2ainfix +V1c1Iainfix &lt;=V2c9Aainfix &lt;=c1V2Iafull_up_toV0V1Aais_indexV1F">
    <proof
     prover="0"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.21"/>
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    </proof>
    <proof
     prover="1"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.02"/>
    </proof>
    <proof
     prover="2"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.02"/>
    </proof>
    <proof
     prover="3"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.03"/>
    </proof>
    <proof
     prover="4"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
   </goal>
   <goal
    name="WP_parameter full_up_to_frame"
    locfile="../sudoku.mlw"
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    loclnum="314" loccnumb="16" loccnume="32"
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    expl="VC for full_up_to_frame"
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    sum="0ab2bedc4fe7dc3c1769aad1232247a9"
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    proved="true"
    expanded="false"
    shape="iafull_up_toV1V2afull_up_toV1V2Iafull_up_toV1V3Aafull_up_toV0V3Aagrid_eq_subV0V1c0V3Aainfix &lt;=V3c81Aainfix &lt;=c0V3Aainfix &lt;V3V2Aainfix &lt;=c0V2Lainfix -V2c1Aafull_up_toV0ainfix -V2c1ainfix &gt;V2c0Iafull_up_toV0V2Aagrid_eq_subV0V1c0V2Aainfix &lt;=V2c81Aainfix &lt;=c0V2F">
    <label
     name="why3:lemma"/>
    <label
     name="expl:VC for full_up_to_frame"/>
    <proof
     prover="0"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.14"/>
    </proof>
    <proof
     prover="1"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.15"/>
    </proof>
    <proof
     prover="2"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.06"/>
    </proof>
    <proof
     prover="3"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.03"/>
    </proof>
    <proof
     prover="4"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.02"/>
    </proof>
   </goal>
   <goal
    name="WP_parameter full_up_to_frame_all"
    locfile="../sudoku.mlw"
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    loclnum="326" loccnumb="12" loccnume="32"
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    expl="VC for full_up_to_frame_all"
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    sum="ad95119c2dd67bce033d0f4e023819e7"
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    proved="true"
    expanded="false"
    shape="afull_up_toV1V2Aagrid_eq_subV0V1c0V2Iafull_up_toV0V2Aagrid_eqV0V1Aainfix &lt;=V2c81Aainfix &lt;=c0V2F">
    <label
     name="why3:lemma"/>
    <label
     name="expl:VC for full_up_to_frame_all"/>
    <proof
     prover="0"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.02"/>
    </proof>
    <proof
     prover="1"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.02"/>
    </proof>
    <proof
     prover="2"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.02"/>
    </proof>
    <proof
     prover="3"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.03"/>
    </proof>
    <proof
     prover="4"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
   </goal>
   <goal
    name="valid_unchanged_chunks"
    locfile="../sudoku.mlw"
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    loclnum="367" loccnumb="8" loccnume="30"
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    sum="270219aa36ab9b7666dc45ab444ac1df"
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    proved="true"
    expanded="false"
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    shape="avalid_chunkV8V2V4V5Iavalid_chunkV0V2V4V5ANainfix =V6V7LasetV0V1V3Lamixfix []V4V2Lamixfix []V4V1Iainfix &lt;=V3c9Aainfix &lt;=c1V3Aais_indexV2Aais_indexV1Iadisjoint_chunksV4V5F">
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    <proof
     prover="2"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.05"/>
    </proof>
    <proof
     prover="3"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.03"/>
    </proof>
    <proof
     prover="4"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
   </goal>
   <goal
    name="valid_changed_chunks"
    locfile="../sudoku.mlw"
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    loclnum="377" loccnumb="8" loccnume="28"
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    sum="33664b4a7d6b3927efe30b5c31d63e6f"
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    proved="true"
    expanded="false"
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    shape="avalid_chunkV8V2V4V5Iavalid_chunkV8V1V4V5Aainfix =V6V7LasetV0V1V3Lamixfix []V4V2Lamixfix []V4V1Iainfix &lt;=V3c9Aainfix &lt;=c1V3Aais_indexV2Aais_indexV1F">
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    <proof
     prover="0"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.04"/>
    </proof>
    <proof
     prover="3"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.03"/>
    </proof>
    <proof
     prover="4"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.02"/>
    </proof>
   </goal>
   <goal
    name="valid_up_to_change"
    locfile="../sudoku.mlw"
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    loclnum="387" loccnumb="8" loccnume="26"
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    sum="2c03a3758e17500c6251f50ea2e076a8"
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    proved="true"
    expanded="false"
    shape="avalid_up_toV0asetV1V2V3ainfix +V2c1Iavalid_squareV0asetV1V2V3V2Aavalid_rowV0asetV1V2V3V2Aavalid_columnV0asetV1V2V3V2Aainfix &lt;=V3c9Aainfix &lt;=c1V3Aavalid_up_toV0V1V2Aais_indexV2Aawell_formed_sudokuV0F">
    <proof
     prover="1"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.69"/>
    </proof>
   </goal>
   <goal
    name="WP_parameter solve_aux"
    locfile="../sudoku.mlw"
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    loclnum="400" loccnumb="10" loccnume="19"
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    expl="VC for solve_aux"
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    sum="8b9958920c1acdb119c0c0cd207c0eba"
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    proved="true"
    expanded="false"
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    shape="iiNavalidV15V18IafullV18AaincludedV17V18FAagrid_eqV13V17AaincludedasetV13V14agetV19V14V19IafullV19AaincludedV13V19FIainfix =V17asetV16V14c0Aainfix &lt;=c0V12FAainfix &lt;V14V12Aainfix &lt;=c0V14Aainfix &lt;=c0V12INavalidV15V21IafullV21AaincludedasetV13V14V20V21FIainfix &lt;V20ainfix +c9c1Aainfix &lt;=c1V20FAafull_up_toV16V14Aagrid_eqV13asetV16V14c0ANavalidV15V27IafullV27AaincludedasetV13V14V26V27FIainfix &lt;V26ainfix +V22c1Aainfix &lt;=c1V26FAafull_up_toV23V14Aagrid_eqV13asetV23V14c0ANavalidV15V28IafullV28AaincludedasetV13V14V22V28FANavalidV15asetV13V14V22INavalid_chunkV23V14V25V24ANavalidV15V32IafullV32AaincludedasetV13V14V31V32FIainfix &lt;V31ainfix +V22c1Aainfix &lt;=c1V31FAafull_up_toV23V14Aagrid_eqV13asetV23V14c0ANavalidV15V33IafullV33AaincludedasetV13V14V22V33FANavalidV15asetV13V14V22INavalid_chunkV23V14V30V29ANavalidV15V37IafullV37AaincludedasetV13V14V36V37FIainfix &lt;V36ainfix +V22c1Aainfix &lt;=c1V36FAafull_up_toV23V14Aagrid_eqV13asetV23V14c0ANavalidV15V38IafullV38AaincludedasetV13V14V22V38FANavalidV15asetV13V14V22INavalid_chunkV23V14V35V34Aais_solution_forV15V40V13Iais_solution_forV15V40V23Aainfix &lt;=c0V12FANavalidV15V43IafullV43AaincludedasetV13V14V42V43FIainfix &lt;V42ainfix +V22c1Aainfix &lt;=c1V42FAafull_up_toV41V14Aagrid_eqV13asetV41V14c0INavalidV15V44IafullV44AaincludedV41V44FAagrid_eqV23V41Aainfix &lt;=c0V12FAafull_up_toV23V39Aavalid_up_toV15V23V39Aainfix &lt;=V39c81Aainfix &lt;=c0V39Aavalid_valuesV23Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;ainfix -c81V39ainfix -c81V14Aainfix &lt;=c0ainfix -c81V14Lainfix +V14c1Aavalid_up_toV15V23ainfix +V14c1Aavalid_up_toV15V45ainfix +V14c1Aavalid_chunkV45V14amk arrayV8V9amk arrayV10V11Aavalid_chunkV45V14amk arrayV4V5amk arrayV6V7Aavalid_chunkV45V14amk arrayV0V1amk arrayV2V3Aagrid_eqV45V23LasetV13V14V22Iavalid_chunkV23V14V35V34Aachunk_valid_indexesV35V34Aais_indexV14Aavalid_valuesV23Aainfix =V12c81Lamk arrayV8V9Lamk arrayV10V11Iavalid_chunkV23V14V30V29Aachunk_valid_indexesV30V29Aais_indexV14Aavalid_valuesV23Aainfix =V12c81Lamk arrayV4V5Lamk arrayV6V7Iavalid_chunkV23V14V25V24Aachunk_valid_indexesV25V24Aais_indexV14Aavalid_valuesV23Aainfix =V12c81Lamk arrayV0V1Lamk arrayV2V3Iainfix =V23asetV16V14V22Aainfix &lt;=c0V12FAainfix &lt;V14V12Aainfix &lt;=c0V14Aainfix &lt;=c0V12INavalidV15V47IafullV47AaincludedasetV13V14V46V47FIainfix &lt;V46V22Aainfix &lt;=c1V46FAafull_up_toV16V14Aagrid_eqV13asetV16V14c0Iainfix &lt;=V22c9Aainfix &lt;=c1V22FFANavalidV15V49IafullV49AaincludedasetV13V14V48V49FIainfix &lt;V48c1Aainfix &lt;=c1V48FAafull_up_toV13V14Aagrid_eqV13asetV13V14c0Iainfix &lt;=c1c9ANavalidV15V51IafullV51AaincludedV50V51FAagrid_eqV13V50AaincludedasetV13V14agetV52V14V52IafullV52AaincludedV13V52FIainfix =V50asetV13V14c0Aainfix &lt;=c0V12FAainfix &lt;V14V12Aainfix &lt;=c0V14Iainfix &gt;c1c9NavalidV15V55IafullV55AaincludedV13V55FAagrid_eqV13V13INavalid_chunkV13V14V54V53ANavalidV15V58IafullV58AaincludedV13V58FAagrid_eqV13V13INavalid_chunkV13V14V57V56ANavalidV15V61IafullV61AaincludedV13V61FAagrid_eqV13V13INavalid_chunkV13V14V60V59Aais_solution_forV15V63V13Iais_solution_forV15V63V13Aainfix &lt;=c0V12FANavalidV15V65IafullV65AaincludedV64V65FAagrid_eqV13V64INavalidV15V66IafullV66AaincludedV64V66FAagrid_eqV13V64Aainfix &lt;=c0V12FAafull_up_toV13V62Aavalid_up_toV15V13V62Aainfix &lt;=V62c81Aainfix &lt;=c0V62Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;ainfix -c81V62ainfix -c81V14Aainfix &lt;=c0ainfix -c81V14Lainfix +V14c1Iavalid_chunkV13V14V60V59Aachunk_valid_indexesV60V59Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV8V9Lamk arrayV10V11Iavalid_chunkV13V14V57V56Aachunk_valid_indexesV57V56Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV4V5Lamk arrayV6V7Iavalid_chunkV13V14V54V53Aachunk_valid_indexesV54V53Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV0V1Lamk arrayV2V3Nainfix =agetV13V14c0Aainfix &lt;V14V12Aainfix &lt;=c0V14ais_solution_forV15V13V13ainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
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    <label
     name="expl:VC for solve_aux"/>
    <transf
     name="split_goal_wp"
     proved="true"
     expanded="false">
     <goal
      name="WP_parameter solve_aux.1"
      locfile="../sudoku.mlw"
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      loclnum="400" loccnumb="10" loccnume="19"
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      expl="1. exceptional postcondition"
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      sum="9a9c4eddf7b7cd3c3a5a9e9b4f092f11"
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      proved="true"
      expanded="false"
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      shape="exceptional postconditionais_solution_forV15V13V13Iainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.04"/>
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.04"/>
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.04"/>
      </proof>
      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.03"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.2"
      locfile="../sudoku.mlw"
565
      loclnum="400" loccnumb="10" loccnume="19"
566
      expl="2. index in array bounds"
MARCHE Claude's avatar
MARCHE Claude committed
567
      sum="7ed90d3e83c18790a34bfefba5eae2b3"
568 569
      proved="true"
      expanded="false"
570
      shape="index in array boundsainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
595
       <result status="valid" time="0.02"/>
596 597 598 599 600 601 602
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
603
       <result status="valid" time="0.00"/>
604 605 606 607 608 609 610
      </proof>
      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
611
       <result status="valid" time="0.00"/>
612 613 614 615 616
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.3"
      locfile="../sudoku.mlw"
617
      loclnum="400" loccnumb="10" loccnume="19"
618
      expl="3. precondition"
MARCHE Claude's avatar
MARCHE Claude committed
619
      sum="9491f29ae15a5127dd1efba8e5523211"
620 621
      proved="true"
      expanded="false"
622
      shape="preconditionainfix =V12c81Lamk arrayV0V1Lamk arrayV2V3INainfix =agetV13V14c0Iainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.4"
      locfile="../sudoku.mlw"
669
      loclnum="400" loccnumb="10" loccnume="19"
670
      expl="4. precondition"
MARCHE Claude's avatar
MARCHE Claude committed
671
      sum="2bef1584755ea85f135fee303ec4a730"
672 673
      proved="true"
      expanded="false"
674
      shape="preconditionavalid_valuesV13Lamk arrayV0V1Lamk arrayV2V3INainfix =agetV13V14c0Iainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
675 676 677 678 679 680 681 682
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
683
       <result status="valid" time="0.03"/>
684 685 686 687 688 689 690 691 692 693 694 695 696 697 698
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
699
       <result status="valid" time="0.03"/>
700 701 702 703 704 705 706
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
707
       <result status="valid" time="0.05"/>
708 709 710 711 712 713 714
      </proof>
      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
715
       <result status="valid" time="0.03"/>
716 717 718 719 720
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.5"
      locfile="../sudoku.mlw"
721
      loclnum="400" loccnumb="10" loccnume="19"
722
      expl="5. precondition"
MARCHE Claude's avatar
MARCHE Claude committed
723
      sum="280fad407ab2e1b5ae1a4cb2ddb31e70"
724 725
      proved="true"
      expanded="false"
726
      shape="preconditionais_indexV14Lamk arrayV0V1Lamk arrayV2V3INainfix =agetV13V14c0Iainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
727 728 729 730 731 732 733 734
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
735
       <result status="valid" time="0.02"/>
736 737 738 739 740 741 742
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
743
       <result status="valid" time="0.02"/>
744 745 746 747 748 749 750
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
751
       <result status="valid" time="0.02"/>
752 753 754 755 756 757 758 759 760 761 762 763 764 765 766
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.04"/>
      </proof>
      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
767
       <result status="valid" time="0.03"/>
768 769 770 771 772
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.6"
      locfile="../sudoku.mlw"
773
      loclnum="400" loccnumb="10" loccnume="19"
774
      expl="6. precondition"
MARCHE Claude's avatar
MARCHE Claude committed
775
      sum="f518c571a54cfb957bb2706e76a72ab3"
776 777
      proved="true"
      expanded="false"
778
      shape="preconditionachunk_valid_indexesV17V16Lamk arrayV0V1Lamk arrayV2V3INainfix =agetV13V14c0Iainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
779 780 781 782 783 784 785 786
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
787
       <result status="valid" time="0.03"/>
788 789 790 791 792 793 794
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
795
       <result status="valid" time="0.02"/>
796 797 798 799 800 801 802 803 804
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.03"/>
      </proof>
805 806 807 808 809 810 811 812
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.09"/>
      </proof>
813 814 815 816 817 818
      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
819
       <result status="valid" time="0.07"/>
820 821 822 823 824
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.7"
      locfile="../sudoku.mlw"
825
      loclnum="400" loccnumb="10" loccnume="19"
826
      expl="7. precondition"
MARCHE Claude's avatar
MARCHE Claude committed
827
      sum="98789c95c5280777a1f7b6e51ab47b60"
828 829
      proved="true"
      expanded="false"
830
      shape="preconditionainfix =V12c81Lamk arrayV4V5Lamk arrayV6V7Iavalid_chunkV13V14V17V16Iachunk_valid_indexesV17V16Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV0V1Lamk arrayV2V3INainfix =agetV13V14c0Iainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
831 832 833 834 835 836 837 838
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
839
       <result status="valid" time="0.03"/>
840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.8"
      locfile="../sudoku.mlw"
877
      loclnum="400" loccnumb="10" loccnume="19"
878
      expl="8. precondition"
MARCHE Claude's avatar
MARCHE Claude committed
879
      sum="984fc3008a91d2c64f51f1ea8ee52b14"
880 881
      proved="true"
      expanded="false"
882
      shape="preconditionavalid_valuesV13Lamk arrayV4V5Lamk arrayV6V7Iavalid_chunkV13V14V17V16Iachunk_valid_indexesV17V16Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV0V1Lamk arrayV2V3INainfix =agetV13V14c0Iainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
883 884 885 886 887 888 889 890
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
891
       <result status="valid" time="0.02"/>
892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.03"/>
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
915
       <result status="valid" time="0.05"/>
916 917 918 919 920 921 922
      </proof>
      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
923
       <result status="valid" time="0.03"/>
924 925 926 927 928
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.9"
      locfile="../sudoku.mlw"
929
      loclnum="400" loccnumb="10" loccnume="19"
930
      expl="9. precondition"
MARCHE Claude's avatar
MARCHE Claude committed
931
      sum="ba2776a4398fbf562e8f61c0c0905f50"
932 933
      proved="true"
      expanded="false"
934
      shape="preconditionais_indexV14Lamk arrayV4V5Lamk arrayV6V7Iavalid_chunkV13V14V17V16Iachunk_valid_indexesV17V16Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV0V1Lamk arrayV2V3INainfix =agetV13V14c0Iainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
935 936 937 938 939 940 941 942
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
943
       <result status="valid" time="0.03"/>
944 945 946 947 948 949 950 951 952 953 954 955 956 957 958
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
959
       <result status="valid" time="0.03"/>
960 961 962 963 964 965 966
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
967
       <result status="valid" time="0.05"/>
968 969 970 971 972 973 974 975 976 977 978 979 980
      </proof>
      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.03"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.10"
      locfile="../sudoku.mlw"
981
      loclnum="400" loccnumb="10" loccnume="19"
982
      expl="10. precondition"
MARCHE Claude's avatar
MARCHE Claude committed
983
      sum="ede0a3ce046d8832fe36c191ea7fb3df"
984 985
      proved="true"
      expanded="false"
986
      shape="preconditionachunk_valid_indexesV19V18Lamk arrayV4V5Lamk arrayV6V7Iavalid_chunkV13V14V17V16Iachunk_valid_indexesV17V16Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV0V1Lamk arrayV2V3INainfix =agetV13V14c0Iainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
987 988 989 990 991 992 993 994
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
995
       <result status="valid" time="0.01"/>
996 997 998 999 1000 1001 1002
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1003
       <result status="valid" time="0.01"/>
1004 1005 1006 1007 1008 1009 1010 1011 1012 1013
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.03"/>
      </proof>
      <proof
1014
       prover="4"
1015 1016 1017 1018
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1019
       <result status="valid" time="0.06"/>
1020 1021 1022 1023 1024
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.11"
      locfile="../sudoku.mlw"
1025
      loclnum="400" loccnumb="10" loccnume="19"
1026
      expl="11. precondition"
MARCHE Claude's avatar
MARCHE Claude committed
1027
      sum="8759f0be188edffe4394926dc31b3200"
1028 1029
      proved="true"
      expanded="false"
1030
      shape="preconditionainfix =V12c81Lamk arrayV8V9Lamk arrayV10V11Iavalid_chunkV13V14V19V18Iachunk_valid_indexesV19V18Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV4V5Lamk arrayV6V7Iavalid_chunkV13V14V17V16Iachunk_valid_indexesV17V16Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV0V1Lamk arrayV2V3INainfix =agetV13V14c0Iainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1055
       <result status="valid" time="0.03"/>
1056 1057 1058 1059 1060 1061 1062
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1063
       <result status="valid" time="0.04"/>
1064 1065 1066 1067 1068 1069 1070
      </proof>
      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1071
       <result status="valid" time="0.04"/>
1072 1073 1074 1075 1076
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.12"
      locfile="../sudoku.mlw"
1077
      loclnum="400" loccnumb="10" loccnume="19"
1078
      expl="12. precondition"
MARCHE Claude's avatar
MARCHE Claude committed
1079
      sum="758c2f729e27d6212db25e47445d68be"
1080 1081
      proved="true"
      expanded="false"
1082
      shape="preconditionavalid_valuesV13Lamk arrayV8V9Lamk arrayV10V11Iavalid_chunkV13V14V19V18Iachunk_valid_indexesV19V18Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV4V5Lamk arrayV6V7Iavalid_chunkV13V14V17V16Iachunk_valid_indexesV17V16Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV0V1Lamk arrayV2V3INainfix =agetV13V14c0Iainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1099
       <result status="valid" time="0.04"/>
1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.04"/>
      </proof>
      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.13"
      locfile="../sudoku.mlw"
1121
      loclnum="400" loccnumb="10" loccnume="19"
1122
      expl="13. precondition"
MARCHE Claude's avatar
MARCHE Claude committed
1123
      sum="e10f2cce6bfbe6685ad49bcd6c8e32c1"
1124 1125
      proved="true"
      expanded="false"
1126
      shape="preconditionais_indexV14Lamk arrayV8V9Lamk arrayV10V11Iavalid_chunkV13V14V19V18Iachunk_valid_indexesV19V18Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV4V5Lamk arrayV6V7Iavalid_chunkV13V14V17V16Iachunk_valid_indexesV17V16Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV0V1Lamk arrayV2V3INainfix =agetV13V14c0Iainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
1127 1128 1129 1130 1131 1132 1133 1134
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1135
       <result status="valid" time="0.03"/>
1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1151
       <result status="valid" time="0.04"/>
1152 1153 1154 1155 1156 1157 1158
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1159
       <result status="valid" time="0.05"/>
1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172
      </proof>
      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.03"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.14"
      locfile="../sudoku.mlw"
1173
      loclnum="400" loccnumb="10" loccnume="19"
1174
      expl="14. precondition"
MARCHE Claude's avatar
MARCHE Claude committed
1175
      sum="4c246341f1109493780e2cf3a7aa8709"
1176 1177
      proved="true"
      expanded="false"
1178
      shape="preconditionachunk_valid_indexesV21V20Lamk arrayV8V9Lamk arrayV10V11Iavalid_chunkV13V14V19V18Iachunk_valid_indexesV19V18Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV4V5Lamk arrayV6V7Iavalid_chunkV13V14V17V16Iachunk_valid_indexesV17V16Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV0V1Lamk arrayV2V3INainfix =agetV13V14c0Iainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
1179 1180 1181 1182 1183 1184 1185 1186
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1187
       <result status="valid" time="0.03"/>
1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 1201 1202
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1203
       <result status="valid" time="0.04"/>
1204 1205 1206 1207 1208 1209 1210
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1211 1212 1213 1214 1215 1216 1217 1218
       <result status="valid" time="0.11"/>
      </proof>
      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1219 1220 1221 1222 1223 1224
       <result status="valid" time="0.09"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.15"
      locfile="../sudoku.mlw"
1225
      loclnum="400" loccnumb="10" loccnume="19"
1226
      expl="15. variant decrease"
MARCHE Claude's avatar
MARCHE Claude committed
1227
      sum="a6d9c4a87a2b4a89e614b74ab57884f7"
1228 1229
      proved="true"
      expanded="false"
1230
      shape="variant decreaseainfix &lt;ainfix -c81V22ainfix -c81V14Aainfix &lt;=c0ainfix -c81V14Lainfix +V14c1Iavalid_chunkV13V14V21V20Iachunk_valid_indexesV21V20Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV8V9Lamk arrayV10V11Iavalid_chunkV13V14V19V18Iachunk_valid_indexesV19V18Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV4V5Lamk arrayV6V7Iavalid_chunkV13V14V17V16Iachunk_valid_indexesV17V16Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV0V1Lamk arrayV2V3INainfix =agetV13V14c0Iainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
1231 1232 1233 1234 1235 1236 1237 1238
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1239
       <result status="valid" time="0.03"/>
1240 1241 1242 1243 1244 1245 1246 1247 1248 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.03"/>
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1263
       <result status="valid" time="0.03"/>
1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276
      </proof>
      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.16"
      locfile="../sudoku.mlw"
1277
      loclnum="400" loccnumb="10" loccnume="19"
1278
      expl="16. precondition"
MARCHE Claude's avatar
MARCHE Claude committed
1279
      sum="c45494b0995f3a1c72fec4d3e23b4a66"
1280 1281
      proved="true"
      expanded="false"
1282
      shape="preconditionawell_formed_sudokuV15Lainfix +V14c1Iavalid_chunkV13V14V21V20Iachunk_valid_indexesV21V20Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV8V9Lamk arrayV10V11Iavalid_chunkV13V14V19V18Iachunk_valid_indexesV19V18Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV4V5Lamk arrayV6V7Iavalid_chunkV13V14V17V16Iachunk_valid_indexesV17V16Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV0V1Lamk arrayV2V3INainfix =agetV13V14c0Iainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
1283 1284 1285 1286 1287 1288 1289 1290
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1291
       <result status="valid" time="0.03"/>
1292 1293 1294 1295 1296 1297 1298 1299 1300 1301 1302 1303 1304 1305 1306
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1307
       <result status="valid" time="0.03"/>
1308 1309 1310 1311 1312 1313 1314
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1315
       <result status="valid" time="0.32"/>
1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328
      </proof>
      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.04"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.17"
      locfile="../sudoku.mlw"
1329
      loclnum="400" loccnumb="10" loccnume="19"
1330
      expl="17. precondition"
MARCHE Claude's avatar
MARCHE Claude committed
1331
      sum="9e1f31b51cb60da9996bf1f18b91393e"
1332 1333
      proved="true"
      expanded="false"
1334
      shape="preconditionainfix =V12c81Lainfix +V14c1Iavalid_chunkV13V14V21V20Iachunk_valid_indexesV21V20Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV8V9Lamk arrayV10V11Iavalid_chunkV13V14V19V18Iachunk_valid_indexesV19V18Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV4V5Lamk arrayV6V7Iavalid_chunkV13V14V17V16Iachunk_valid_indexesV17V16Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV0V1Lamk arrayV2V3INainfix =agetV13V14c0Iainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
1335 1336 1337 1338 1339 1340 1341 1342
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1343
       <result status="valid" time="0.04"/>
1344 1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1359
       <result status="valid" time="0.03"/>
1360 1361 1362 1363 1364 1365 1366
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1367
       <result status="valid" time="0.03"/>
1368 1369 1370 1371 1372 1373 1374
      </proof>
      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1375
       <result status="valid" time="0.02"/>
1376 1377 1378 1379 1380
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.18"
      locfile="../sudoku.mlw"
1381
      loclnum="400" loccnumb="10" loccnume="19"
1382
      expl="18. precondition"
MARCHE Claude's avatar
MARCHE Claude committed
1383
      sum="41c6c1d20f595cde5b0a8f8cd03c497f"
1384 1385
      proved="true"
      expanded="false"
1386
      shape="preconditionavalid_valuesV13Lainfix +V14c1Iavalid_chunkV13V14V21V20Iachunk_valid_indexesV21V20Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV8V9Lamk arrayV10V11Iavalid_chunkV13V14V19V18Iachunk_valid_indexesV19V18Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV4V5Lamk arrayV6V7Iavalid_chunkV13V14V17V16Iachunk_valid_indexesV17V16Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV0V1Lamk arrayV2V3INainfix =agetV13V14c0Iainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
1387 1388 1389 1390 1391 1392 1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408 1409 1410
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1411
       <result status="valid" time="0.02"/>
1412 1413 1414 1415 1416 1417 1418
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1419
       <result status="valid" time="0.05"/>
1420 1421 1422 1423 1424 1425 1426 1427 1428 1429 1430 1431 1432
      </proof>
      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.03"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.19"
      locfile="../sudoku.mlw"
1433
      loclnum="400" loccnumb="10" loccnume="19"
1434
      expl="19. precondition"
MARCHE Claude's avatar
MARCHE Claude committed
1435
      sum="0185fd8ac1c29c16880c28d15fc2ad4f"
1436 1437
      proved="true"
      expanded="false"
1438
      shape="preconditionainfix &lt;=V22c81Aainfix &lt;=c0V22Lainfix +V14c1Iavalid_chunkV13V14V21V20Iachunk_valid_indexesV21V20Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV8V9Lamk arrayV10V11Iavalid_chunkV13V14V19V18Iachunk_valid_indexesV19V18Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV4V5Lamk arrayV6V7Iavalid_chunkV13V14V17V16Iachunk_valid_indexesV17V16Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV0V1Lamk arrayV2V3INainfix =agetV13V14c0Iainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
1439 1440 1441 1442 1443 1444 1445 1446
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1447
       <result status="valid" time="0.03"/>
1448 1449 1450 1451 1452 1453 1454
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1455
       <result status="valid" time="0.03"/>
1456 1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472 1473 1474 1475 1476 1477 1478
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.03"/>
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.04"/>
      </proof>
      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1479
       <result status="valid" time="0.04"/>
1480 1481 1482 1483 1484
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.20"
      locfile="../sudoku.mlw"
1485
      loclnum="400" loccnumb="10" loccnume="19"
1486
      expl="20. precondition"
MARCHE Claude's avatar
MARCHE Claude committed
1487
      sum="9871460cb350e9203490f4f70b2c4f5c"
1488 1489
      proved="true"
      expanded="false"
1490
      shape="preconditionavalid_up_toV15V13V22Lainfix +V14c1Iavalid_chunkV13V14V21V20Iachunk_valid_indexesV21V20Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV8V9Lamk arrayV10V11Iavalid_chunkV13V14V19V18Iachunk_valid_indexesV19V18Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV4V5Lamk arrayV6V7Iavalid_chunkV13V14V17V16Iachunk_valid_indexesV17V16Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV0V1Lamk arrayV2V3INainfix =agetV13V14c0Iainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
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      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.03"/>
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.04"/>
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1515
       <result status="valid" time="0.86"/>
1516 1517 1518 1519 1520
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.21"
      locfile="../sudoku.mlw"
1521
      loclnum="400" loccnumb="10" loccnume="19"
1522
      expl="21. precondition"
MARCHE Claude's avatar
MARCHE Claude committed
1523
      sum="243425ac0d2b4a44be82dccc1d927c69"
1524 1525
      proved="true"
      expanded="false"
1526
      shape="preconditionafull_up_toV13V22Lainfix +V14c1Iavalid_chunkV13V14V21V20Iachunk_valid_indexesV21V20Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV8V9Lamk arrayV10V11Iavalid_chunkV13V14V19V18Iachunk_valid_indexesV19V18Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV4V5Lamk arrayV6V7Iavalid_chunkV13V14V17V16Iachunk_valid_indexesV17V16Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV0V1Lamk arrayV2V3INainfix =agetV13V14c0Iainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
1527 1528 1529 1530 1531 1532 1533 1534
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1535
       <result status="valid" time="0.12"/>
1536 1537 1538 1539 1540 1541 1542
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1543
       <result status="valid" time="0.06"/>
1544 1545 1546 1547 1548 1549 1550
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1551
       <result status="valid" time="0.03"/>
1552 1553 1554 1555 1556 1557 1558
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1559
       <result status="valid" time="0.05"/>
1560 1561 1562 1563 1564 1565 1566
      </proof>
      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1567
       <result status="valid" time="0.04"/>
1568 1569 1570 1571 1572
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.22"
      locfile="../sudoku.mlw"
1573
      loclnum="400" loccnumb="10" loccnume="19"
1574
      expl="22. postcondition"
MARCHE Claude's avatar
MARCHE Claude committed
1575
      sum="65194bde2b48459b4ea6f0ece8e6109c"
1576 1577
      proved="true"
      expanded="false"
1578
      shape="postconditionagrid_eqV13V23INavalidV15V24IafullV24AaincludedV23V24FAagrid_eqV13V23Aainfix &lt;=c0V12FIafull_up_toV13V22Aavalid_up_toV15V13V22Aainfix &lt;=V22c81Aainfix &lt;=c0V22Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Lainfix +V14c1Iavalid_chunkV13V14V21V20Iachunk_valid_indexesV21V20Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV8V9Lamk arrayV10V11Iavalid_chunkV13V14V19V18Iachunk_valid_indexesV19V18Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV4V5Lamk arrayV6V7Iavalid_chunkV13V14V17V16Iachunk_valid_indexesV17V16Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV0V1Lamk arrayV2V3INainfix =agetV13V14c0Iainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
1579 1580 1581 1582 1583 1584 1585 1586
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1587
       <result status="valid" time="0.02"/>
1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600 1601 1602
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1603
       <result status="valid" time="0.02"/>
1604 1605 1606 1607 1608 1609 1610
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1611
       <result status="valid" time="0.00"/>
1612 1613 1614 1615 1616 1617 1618
      </proof>
      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1619
       <result status="valid" time="0.00"/>
1620 1621 1622 1623 1624
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.23"
      locfile="../sudoku.mlw"
1625
      loclnum="400" loccnumb="10" loccnume="19"
1626
      expl="23. postcondition"
MARCHE Claude's avatar
MARCHE Claude committed
1627
      sum="ed016970271241bf7b912ce52c730d51"
1628 1629
      proved="true"
      expanded="false"
1630
      shape="postconditionNavalidV15V24IafullV24AaincludedV23V24FINavalidV15V25IafullV25AaincludedV23V25FAagrid_eqV13V23Aainfix &lt;=c0V12FIafull_up_toV13V22Aavalid_up_toV15V13V22Aainfix &lt;=V22c81Aainfix &lt;=c0V22Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Lainfix +V14c1Iavalid_chunkV13V14V21V20Iachunk_valid_indexesV21V20Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV8V9Lamk arrayV10V11Iavalid_chunkV13V14V19V18Iachunk_valid_indexesV19V18Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV4V5Lamk arrayV6V7Iavalid_chunkV13V14V17V16Iachunk_valid_indexesV17V16Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV0V1Lamk arrayV2V3INainfix =agetV13V14c0Iainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
1631 1632 1633 1634 1635 1636 1637 1638
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1639
       <result status="valid" time="0.10"/>
1640 1641 1642 1643 1644 1645 1646 1647 1648 1649 1650 1651 1652
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.04"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.24"
      locfile="../sudoku.mlw"
1653
      loclnum="400" loccnumb="10" loccnume="19"
1654
      expl="24. exceptional postcondition"
MARCHE Claude's avatar
MARCHE Claude committed
1655
      sum="68124eb2326aa1be1012b7bad0b3be2e"
1656 1657
      proved="true"
      expanded="false"
1658
      shape="exceptional postconditionais_solution_forV15V23V13Iais_solution_forV15V23V13Aainfix &lt;=c0V12FIafull_up_toV13V22Aavalid_up_toV15V13V22Aainfix &lt;=V22c81Aainfix &lt;=c0V22Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Lainfix +V14c1Iavalid_chunkV13V14V21V20Iachunk_valid_indexesV21V20Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV8V9Lamk arrayV10V11Iavalid_chunkV13V14V19V18Iachunk_valid_indexesV19V18Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV4V5Lamk arrayV6V7Iavalid_chunkV13V14V17V16Iachunk_valid_indexesV17V16Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV0V1Lamk arrayV2V3INainfix =agetV13V14c0Iainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
1659 1660 1661 1662 1663 1664 1665 1666
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1667
       <result status="valid" time="0.01"/>
1668 1669 1670 1671 1672 1673 1674
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1675
       <result status="valid" time="0.11"/>
1676 1677 1678 1679 1680 1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.05"/>
      </proof>
      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.04"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.25"
      locfile="../sudoku.mlw"
1697
      loclnum="400" loccnumb="10" loccnume="19"
1698
      expl="25. postcondition"
MARCHE Claude's avatar
MARCHE Claude committed
1699
      sum="748373bc985edabbb36ab8963992497d"
1700 1701
      proved="true"
      expanded="false"
1702
      shape="postconditionagrid_eqV13V13INavalid_chunkV13V14V21V20Iachunk_valid_indexesV21V20Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV8V9Lamk arrayV10V11Iavalid_chunkV13V14V19V18Iachunk_valid_indexesV19V18Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV4V5Lamk arrayV6V7Iavalid_chunkV13V14V17V16Iachunk_valid_indexesV17V16Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV0V1Lamk arrayV2V3INainfix =agetV13V14c0Iainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
1703 1704 1705 1706 1707 1708 1709 1710 1711 1712 1713 1714 1715 1716 1717 1718
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1719
       <result status="valid" time="0.01"/>
1720 1721 1722 1723 1724 1725 1726
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1727
       <result status="valid" time="0.02"/>
1728 1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744 1745 1746 1747 1748
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.26"
      locfile="../sudoku.mlw"
1749
      loclnum="400" loccnumb="10" loccnume="19"
1750
      expl="26. postcondition"
MARCHE Claude's avatar
MARCHE Claude committed
1751
      sum="2aad5020fb918174a3dfb7a1a85c47e7"
1752 1753
      proved="true"
      expanded="false"
1754
      shape="postconditionNavalidV15V22IafullV22AaincludedV13V22FINavalid_chunkV13V14V21V20Iachunk_valid_indexesV21V20Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV8V9Lamk arrayV10V11Iavalid_chunkV13V14V19V18Iachunk_valid_indexesV19V18Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV4V5Lamk arrayV6V7Iavalid_chunkV13V14V17V16Iachunk_valid_indexesV17V16Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV0V1Lamk arrayV2V3INainfix =agetV13V14c0Iainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
1755 1756 1757 1758 1759 1760 1761 1762
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
MARCHE Claude's avatar
MARCHE Claude committed
1763
       <result status="valid" time="0.50"/>
1764 1765 1766 1767 1768 1769 1770 1771 1772 1773
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.06"/>
      </proof>
      <proof
1774
       prover="2"
1775 1776 1777 1778
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1779
       <result status="valid" time="0.05"/>
1780 1781 1782 1783 1784
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.27"
      locfile="../sudoku.mlw"
1785
      loclnum="400" loccnumb="10" loccnume="19"
1786
      expl="27. postcondition"
MARCHE Claude's avatar
MARCHE Claude committed
1787
      sum="43b9f14be89f8250c85148bc77526d35"
1788 1789
      proved="true"
      expanded="false"
1790
      shape="postconditionagrid_eqV13V13INavalid_chunkV13V14V19V18Iachunk_valid_indexesV19V18Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV4V5Lamk arrayV6V7Iavalid_chunkV13V14V17V16Iachunk_valid_indexesV17V16Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV0V1Lamk arrayV2V3INainfix =agetV13V14c0Iainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
1791 1792 1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808 1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824 1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.03"/>
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.28"
      locfile="../sudoku.mlw"
1837
      loclnum="400" loccnumb="10" loccnume="19"
1838
      expl="28. postcondition"
MARCHE Claude's avatar
MARCHE Claude committed
1839
      sum="793f366a769e188dc4df678767712c2f"
1840 1841
      proved="true"
      expanded="false"
1842
      shape="postconditionNavalidV15V20IafullV20AaincludedV13V20FINavalid_chunkV13V14V19V18Iachunk_valid_indexesV19V18Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV4V5Lamk arrayV6V7Iavalid_chunkV13V14V17V16Iachunk_valid_indexesV17V16Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV0V1Lamk arrayV2V3INainfix =agetV13V14c0Iainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
1843 1844 1845 1846 1847 1848 1849 1850
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
MARCHE Claude's avatar
MARCHE Claude committed
1851
       <result status="valid" time="0.48"/>
1852 1853 1854 1855 1856 1857 1858
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1859
       <result status="valid" time="0.35"/>
1860 1861 1862 1863 1864 1865 1866
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1867
       <result status="valid" time="0.06"/>
1868 1869 1870 1871 1872
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.29"
      locfile="../sudoku.mlw"
1873
      loclnum="400" loccnumb="10" loccnume="19"
1874
      expl="29. postcondition"
MARCHE Claude's avatar
MARCHE Claude committed
1875
      sum="9ada6968c7bfa2e3a7d799f1f28f013b"
1876 1877
      proved="true"
      expanded="false"
1878
      shape="postconditionagrid_eqV13V13INavalid_chunkV13V14V17V16Iachunk_valid_indexesV17V16Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV0V1Lamk arrayV2V3INainfix =agetV13V14c0Iainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
1879 1880 1881 1882 1883 1884 1885 1886 1887 1888 1889 1890 1891 1892 1893 1894
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1895
       <result status="valid" time="0.02"/>
1896 1897 1898 1899 1900 1901 1902
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
1903
       <result status="valid" time="0.03"/>
1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter solve_aux.30"
      locfile="../sudoku.mlw"
1925
      loclnum="400" loccnumb="10" loccnume="19"
1926
      expl="30. postcondition"
MARCHE Claude's avatar
MARCHE Claude committed
1927
      sum="eaf4d0add2980f1491dea29d60c52e2b"
1928 1929
      proved="true"
      expanded="false"
1930
      shape="postconditionNavalidV15V18IafullV18AaincludedV13V18FINavalid_chunkV13V14V17V16Iachunk_valid_indexesV17V16Aais_indexV14Aavalid_valuesV13Aainfix =V12c81Lamk arrayV0V1Lamk arrayV2V3INainfix =agetV13V14c0Iainfix &lt;V14V12Aainfix &lt;=c0V14INainfix =V14c81Iafull_up_toV13V14Aavalid_up_toV15V13V14Aainfix &lt;=V14c81Aainfix &lt;=c0V14Aavalid_valuesV13Aainfix =V12c81Aawell_formed_sudokuV15Aainfix &lt;=c0V12Aainfix &lt;=c0V10Aainfix &lt;=c0V8Aainfix &lt;=c0V6Aainfix &lt;=c0V4Aainfix &lt;=c0V2Aainfix &lt;=c0V0Lamk sudoku_chunksamk arrayV0V1amk arrayV2V3amk arrayV4V5amk arrayV6V7amk arrayV8V9amk arrayV10V11F">
1931 1932 1933 1934 1935 1936 1937 1938
      <label
       name="expl:VC for solve_aux"/>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">