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<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE why3session SYSTEM "why3session.dtd">
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<why3session
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 name="programs/decrease1/why3session.xml">
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 <prover
  id="alt-ergo"
  name="Alt-Ergo"
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  version="0.94"/>
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 <prover
  id="coq"
  name="Coq"
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  version="8.3pl3"/>
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 <prover
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  id="cvc3-2.2"
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  name="CVC3"
  version="2.2"/>
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 <prover
  id="cvc3-2.4"
  name="CVC3"
  version="2.4.1"/>
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 <prover
  id="eprover"
  name="Eprover"
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  version="1.4"/>
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 <prover
  id="gappa"
  name="Gappa"
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  version="0.15.1"/>
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 <prover
  id="simplify"
  name="Simplify"
  version="1.5.4"/>
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 <prover
  id="spass"
  name="Spass"
  version="3.7"/>
 <prover
  id="vampire"
  name="Vampire"
  version="0.6"/>
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 <prover
  id="verit"
  name="veriT"
  version="dev"/>
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 <prover
  id="yices"
  name="Yices"
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  version="1.0.25"/>
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 <prover
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  id="z3-2"
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  name="Z3"
  version="2.19"/>
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 <prover
  id="z3-3"
  name="Z3"
  version="3.2"/>
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 <file
  name="../decrease1.mlw"
  verified="true"
  expanded="true">
  <theory
   name="WP Decrease1"
   verified="true"
   expanded="true">
   <goal
    name="decrease1_induction"
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    sum="fb16ee7a702e061bdb9f163bf5ac08c2"
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    proved="true"
    expanded="true"
    shape="ainfix >=amixfix []V0V2ainfix -ainfix +amixfix []V0V1V1V2Iainfix <V2alengthV0Aainfix <=V1V2Aainfix <=c0V1FIadecrease1V0F">
    <proof
     prover="coq"
     timelimit="10"
     edited="decrease1_Decrease1_decrease1_induction_2.v"
     obsolete="false">
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     <result status="valid" time="0.60"/>
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    </proof>
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   </goal>
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   <goal
    name="WP_parameter search"
    expl="parameter search"
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    sum="aec8c98e65cc4f1b5edbd33e65cebee8"
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    proved="true"
    expanded="true"
    shape="iainfix <V2V0iainfix =agetV1V2c0ainfix =agetV1V3c0NIainfix <V3V2Aainfix <=c0V3FAainfix =agetV1V2c0Aainfix <V2V0Aainfix <=c0V2Oainfix =agetV1V4c0NIainfix <V4V0Aainfix <=c0V4FAainfix =V2aprefix -c1iainfix >agetV1V2c0ainfix <ainfix -V0V5ainfix -V0V2Aainfix <=c0ainfix -V0V2Aainfix =agetV1V6c0NIainfix <V6V0Iainfix <V6V5Aainfix <=c0V6FAainfix <=c0V5Iainfix =V5ainfix +V2agetV1V2FAainfix <V2V0Aainfix <=c0V2ainfix <ainfix -V0V7ainfix -V0V2Aainfix <=c0ainfix -V0V2Aainfix =agetV1V8c0NIainfix <V8V0Iainfix <V8V7Aainfix <=c0V8FAainfix <=c0V7Iainfix =V7ainfix +V2c1FAainfix <V2V0Aainfix <=c0V2Aainfix <V2V0Aainfix <=c0V2ainfix =agetV1V9c0NIainfix <V9aprefix -c1Aainfix <=c0V9FAainfix =agetV1aprefix -c1c0Aainfix <aprefix -c1V0Aainfix <=c0aprefix -c1Oainfix =agetV1V10c0NIainfix <V10V0Aainfix <=c0V10FAainfix =aprefix -c1aprefix -c1Iainfix =agetV1V11c0NIainfix <V11V0Iainfix <V11V2Aainfix <=c0V11FAainfix <=c0V2FAainfix =agetV1V12c0NIainfix <V12V0Iainfix <V12c0Aainfix <=c0V12FAainfix <=c0c0Iadecrease1amk arrayV0V1FF">
    <transf
     name="split_goal"
     proved="true"
     expanded="true">
     <goal
      name="WP_parameter search.1"
      expl="loop invariant init"
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      sum="57837c421bda98e4bc4e56791b23e484"
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      proved="true"
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      expanded="false"
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      shape="ainfix =agetV1V2c0NIainfix <V2V0Iainfix <V2c0Aainfix <=c0V2FAainfix <=c0c0Iadecrease1amk arrayV0V1FF">
      <proof
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       prover="z3-2"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
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      <proof
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       prover="cvc3-2.2"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
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      <proof
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       prover="alt-ergo"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
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     </goal>
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     <goal
      name="WP_parameter search.2"
      expl="precondition"
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      sum="eb6e64cf7d725825e6a74d66658b21cb"
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      proved="true"
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      expanded="false"
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      shape="ainfix <V2V0Aainfix <=c0V2Iainfix <V2V0Iainfix =agetV1V3c0NIainfix <V3V0Iainfix <V3V2Aainfix <=c0V3FAainfix <=c0V2FIadecrease1amk arrayV0V1FF">
      <proof
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       prover="z3-2"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.01"/>
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      </proof>
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      <proof
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       prover="cvc3-2.2"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
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      <proof
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       prover="alt-ergo"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
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     </goal>
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     <goal
      name="WP_parameter search.3"
      expl="normal postcondition"
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      sum="8ff843796f65ddac5eef934b3f7a5d67"
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      proved="true"
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      expanded="false"
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      shape="ainfix =agetV1V3c0NIainfix <V3V2Aainfix <=c0V3FAainfix =agetV1V2c0Aainfix <V2V0Aainfix <=c0V2Oainfix =agetV1V4c0NIainfix <V4V0Aainfix <=c0V4FAainfix =V2aprefix -c1Iainfix =agetV1V2c0Iainfix <V2V0Aainfix <=c0V2Iainfix <V2V0Iainfix =agetV1V5c0NIainfix <V5V0Iainfix <V5V2Aainfix <=c0V5FAainfix <=c0V2FIadecrease1amk arrayV0V1FF">
      <proof
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       prover="z3-2"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.01"/>
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      </proof>
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      <proof
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       prover="cvc3-2.2"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
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      <proof
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       prover="alt-ergo"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
     </goal>
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     <goal
      name="WP_parameter search.4"
      expl="precondition"
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      sum="d2fcbcc741a3cba3b91e0ce5e80f9eef"
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      proved="true"
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      expanded="false"
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      shape="ainfix <V2V0Aainfix <=c0V2Iainfix =agetV1V2c0NIainfix <V2V0Aainfix <=c0V2Iainfix <V2V0Iainfix =agetV1V3c0NIainfix <V3V0Iainfix <V3V2Aainfix <=c0V3FAainfix <=c0V2FIadecrease1amk arrayV0V1FF">
      <proof
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       prover="z3-2"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
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      <proof
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       prover="cvc3-2.2"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
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      <proof
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       prover="alt-ergo"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
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     </goal>
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     <goal
      name="WP_parameter search.5"
      expl="precondition"
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      sum="2cd4660a6ba0847eaa2543cf95dfd112"
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      proved="true"
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      expanded="false"
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      shape="ainfix <V2V0Aainfix <=c0V2Iainfix >agetV1V2c0Iainfix <V2V0Aainfix <=c0V2Iainfix =agetV1V2c0NIainfix <V2V0Aainfix <=c0V2Iainfix <V2V0Iainfix =agetV1V3c0NIainfix <V3V0Iainfix <V3V2Aainfix <=c0V3FAainfix <=c0V2FIadecrease1amk arrayV0V1FF">
      <proof
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       prover="z3-2"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
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      <proof
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       prover="cvc3-2.2"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
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      <proof
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       prover="alt-ergo"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
     </goal>
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     <goal
      name="WP_parameter search.6"
      expl="loop invariant preservation"
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      sum="18511b321a4bf96eaad7f796e1b99018"
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      proved="true"
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      expanded="false"
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      shape="ainfix =agetV1V4c0NIainfix <V4V0Iainfix <V4V3Aainfix <=c0V4FAainfix <=c0V3Iainfix =V3ainfix +V2agetV1V2FIainfix <V2V0Aainfix <=c0V2Iainfix >agetV1V2c0Iainfix <V2V0Aainfix <=c0V2Iainfix =agetV1V2c0NIainfix <V2V0Aainfix <=c0V2Iainfix <V2V0Iainfix =agetV1V5c0NIainfix <V5V0Iainfix <V5V2Aainfix <=c0V5FAainfix <=c0V2FIadecrease1amk arrayV0V1FF">
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      <transf
       name="split_goal"
       proved="true"
       expanded="false">
       <goal
        name="WP_parameter search.6.1"
        expl="parameter search"
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        sum="1ddb6fbcab1385d089d5a2e227256734"
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        proved="true"
        expanded="false"
        shape="ainfix <=c0V3Iainfix =V3ainfix +V2agetV1V2FIainfix <V2V0Aainfix <=c0V2Iainfix >agetV1V2c0Iainfix <V2V0Aainfix <=c0V2Iainfix =agetV1V2c0NIainfix <V2V0Aainfix <=c0V2Iainfix <V2V0Iainfix =agetV1V4c0NIainfix <V4V0Iainfix <V4V2Aainfix <=c0V4FAainfix <=c0V2FIadecrease1amk arrayV0V1FF">
        <proof
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         prover="z3-2"
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         timelimit="5"
         edited=""
         obsolete="false">
         <result status="valid" time="0.01"/>
        </proof>
        <proof
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         prover="z3-3"
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         timelimit="5"
         edited=""
         obsolete="false">
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         <result status="valid" time="0.01"/>
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        </proof>
        <proof
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         prover="alt-ergo"
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         timelimit="5"
         edited=""
         obsolete="false">
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         <result status="valid" time="0.00"/>
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        </proof>
        <proof
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         prover="cvc3-2.2"
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         timelimit="5"
         edited=""
         obsolete="false">
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         <result status="valid" time="0.00"/>
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        </proof>
        <proof
         prover="cvc3-2.4"
         timelimit="5"
         edited=""
         obsolete="false">
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         <result status="valid" time="0.00"/>
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        </proof>
       </goal>
       <goal
        name="WP_parameter search.6.2"
        expl="parameter search"
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        sum="5bedc77ab46e8605b97e4950bcaa6581"
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        proved="true"
        expanded="false"
        shape="ainfix =agetV1V4c0NIainfix <V4V0Iainfix <V4V3Aainfix <=c0V4FIainfix =V3ainfix +V2agetV1V2FIainfix <V2V0Aainfix <=c0V2Iainfix >agetV1V2c0Iainfix <V2V0Aainfix <=c0V2Iainfix =agetV1V2c0NIainfix <V2V0Aainfix <=c0V2Iainfix <V2V0Iainfix =agetV1V5c0NIainfix <V5V0Iainfix <V5V2Aainfix <=c0V5FAainfix <=c0V2FIadecrease1amk arrayV0V1FF">
        <proof
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         prover="z3-2"
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         timelimit="5"
         edited=""
         obsolete="false">
         <result status="valid" time="0.02"/>
        </proof>
       </goal>
      </transf>
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     </goal>
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     <goal
      name="WP_parameter search.7"
      expl="loop variant decreases"
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      sum="97b9cb29ec2662771acd1b45ca17fc32"
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      proved="true"
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      expanded="false"
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      shape="ainfix <ainfix -V0V3ainfix -V0V2Aainfix <=c0ainfix -V0V2Iainfix =agetV1V4c0NIainfix <V4V0Iainfix <V4V3Aainfix <=c0V4FAainfix <=c0V3Iainfix =V3ainfix +V2agetV1V2FIainfix <V2V0Aainfix <=c0V2Iainfix >agetV1V2c0Iainfix <V2V0Aainfix <=c0V2Iainfix =agetV1V2c0NIainfix <V2V0Aainfix <=c0V2Iainfix <V2V0Iainfix =agetV1V5c0NIainfix <V5V0Iainfix <V5V2Aainfix <=c0V5FAainfix <=c0V2FIadecrease1amk arrayV0V1FF">
      <proof
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       prover="z3-2"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.01"/>
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      </proof>
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      <proof
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       prover="cvc3-2.2"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
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      <proof
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       prover="alt-ergo"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
     </goal>
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     <goal
      name="WP_parameter search.8"
      expl="loop invariant preservation"
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      sum="551db7e1feb06dc7908fbe89200fb050"
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      proved="true"
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      expanded="false"
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      shape="ainfix =agetV1V4c0NIainfix <V4V0Iainfix <V4V3Aainfix <=c0V4FAainfix <=c0V3Iainfix =V3ainfix +V2c1FIainfix >agetV1V2c0NIainfix <V2V0Aainfix <=c0V2Iainfix =agetV1V2c0NIainfix <V2V0Aainfix <=c0V2Iainfix <V2V0Iainfix =agetV1V5c0NIainfix <V5V0Iainfix <V5V2Aainfix <=c0V5FAainfix <=c0V2FIadecrease1amk arrayV0V1FF">
      <proof
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       prover="z3-2"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.01"/>
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      </proof>
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      <proof
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       prover="cvc3-2.2"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.01"/>
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      </proof>
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      <proof
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       prover="alt-ergo"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
     </goal>
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     <goal
      name="WP_parameter search.9"
      expl="loop variant decreases"
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      sum="412417fe37019d3ce0710ad160378f3e"
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      proved="true"
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      expanded="false"
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      shape="ainfix <ainfix -V0V3ainfix -V0V2Aainfix <=c0ainfix -V0V2Iainfix =agetV1V4c0NIainfix <V4V0Iainfix <V4V3Aainfix <=c0V4FAainfix <=c0V3Iainfix =V3ainfix +V2c1FIainfix >agetV1V2c0NIainfix <V2V0Aainfix <=c0V2Iainfix =agetV1V2c0NIainfix <V2V0Aainfix <=c0V2Iainfix <V2V0Iainfix =agetV1V5c0NIainfix <V5V0Iainfix <V5V2Aainfix <=c0V5FAainfix <=c0V2FIadecrease1amk arrayV0V1FF">
      <proof
372
       prover="z3-2"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.01"/>
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      </proof>
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      <proof
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       prover="cvc3-2.2"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
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      <proof
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       prover="alt-ergo"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
     </goal>
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     <goal
      name="WP_parameter search.10"
      expl="normal postcondition"
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      sum="884d403482f071cade1c06ae07f1483c"
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      proved="true"
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      expanded="false"
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      shape="ainfix =agetV1V3c0NIainfix <V3aprefix -c1Aainfix <=c0V3FAainfix =agetV1aprefix -c1c0Aainfix <aprefix -c1V0Aainfix <=c0aprefix -c1Oainfix =agetV1V4c0NIainfix <V4V0Aainfix <=c0V4FAainfix =aprefix -c1aprefix -c1Iainfix <V2V0NIainfix =agetV1V5c0NIainfix <V5V0Iainfix <V5V2Aainfix <=c0V5FAainfix <=c0V2FIadecrease1amk arrayV0V1FF">
      <proof
401
       prover="z3-2"
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       timelimit="10"
       edited=""
       obsolete="false">
405
       <result status="valid" time="0.01"/>
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      </proof>
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      <proof
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       prover="cvc3-2.2"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
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      <proof
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       prover="alt-ergo"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
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     </goal>
    </transf>
   </goal>
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   <goal
    name="WP_parameter search_rec"
    expl="parameter search_rec"
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    sum="136f9e6387d8c500f583ecb09f041cc1"
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    proved="true"
    expanded="true"
    shape="Lamk arrayV0V2iainfix <V1V0iainfix =agetV2V1c0ainfix =agetV2V4c0NIainfix <V4V1Aainfix <=V1V4FAainfix =agetV2V1c0Aainfix <V1V0Aainfix <=V1V1Oainfix =agetV2V5c0NIainfix <V5V0Aainfix <=V1V5FAainfix =V1aprefix -c1iainfix >agetV2V1c0LagetV2V1ainfix =agetV2V8c0NIainfix <V8V7Aainfix <=V1V8FAainfix =agetV2V7c0Aainfix <V7V0Aainfix <=V1V7Oainfix =agetV2V9c0NIainfix <V9V0Aainfix <=V1V9FAainfix =V7aprefix -c1Iainfix =agetV2V10c0NIainfix <V10V7Aainfix <=ainfix +V1V6V10FAainfix =agetV2V7c0Aainfix <V7V0Aainfix <=ainfix +V1V6V7Oainfix =agetV2V11c0NIainfix <V11V0Aainfix <=ainfix +V1V6V11FAainfix =V7aprefix -c1FAainfix <=c0ainfix +V1V6Aadecrease1V3Aainfix <V1V0Aainfix <=c0V1ainfix =agetV2V13c0NIainfix <V13V12Aainfix <=V1V13FAainfix =agetV2V12c0Aainfix <V12V0Aainfix <=V1V12Oainfix =agetV2V14c0NIainfix <V14V0Aainfix <=V1V14FAainfix =V12aprefix -c1Iainfix =agetV2V15c0NIainfix <V15V12Aainfix <=ainfix +V1c1V15FAainfix =agetV2V12c0Aainfix <V12V0Aainfix <=ainfix +V1c1V12Oainfix =agetV2V16c0NIainfix <V16V0Aainfix <=ainfix +V1c1V16FAainfix =V12aprefix -c1FAainfix <=c0ainfix +V1c1Aadecrease1V3Aainfix <V1V0Aainfix <=c0V1Aainfix <V1V0Aainfix <=c0V1ainfix =agetV2V17c0NIainfix <V17aprefix -c1Aainfix <=V1V17FAainfix =agetV2aprefix -c1c0Aainfix <aprefix -c1V0Aainfix <=V1aprefix -c1Oainfix =agetV2V18c0NIainfix <V18V0Aainfix <=V1V18FAainfix =aprefix -c1aprefix -c1Iainfix <=c0V1Aadecrease1V3FFF">
    <transf
     name="split_goal"
     proved="true"
     expanded="true">
     <goal
      name="WP_parameter search_rec.1"
      expl="precondition"
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      sum="0b5ec2e9fb33f657a8920062f06b55a8"
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      proved="true"
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      expanded="false"
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      shape="Lamk arrayV0V2ainfix <V1V0Aainfix <=c0V1Iainfix <V1V0Iainfix <=c0V1Aadecrease1V3FFF">
      <proof
443
       prover="z3-2"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.01"/>
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      </proof>
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      <proof
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       prover="cvc3-2.2"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
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      <proof
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       prover="alt-ergo"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
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     </goal>
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     <goal
      name="WP_parameter search_rec.2"
      expl="normal postcondition"
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      sum="42884f0179c61fcac716eaff4e6e0024"
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      proved="true"
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      expanded="false"
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      shape="Lamk arrayV0V2ainfix =agetV2V4c0NIainfix <V4V1Aainfix <=V1V4FAainfix =agetV2V1c0Aainfix <V1V0Aainfix <=V1V1Oainfix =agetV2V5c0NIainfix <V5V0Aainfix <=V1V5FAainfix =V1aprefix -c1Iainfix =agetV2V1c0Iainfix <V1V0Aainfix <=c0V1Iainfix <V1V0Iainfix <=c0V1Aadecrease1V3FFF">
      <proof
472
       prover="z3-2"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.01"/>
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      </proof>
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      <proof
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       prover="cvc3-2.2"
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       timelimit="10"
       edited=""
       obsolete="false">
483
       <result status="valid" time="0.00"/>
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      </proof>
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      <proof
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       prover="alt-ergo"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
     </goal>
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     <goal
      name="WP_parameter search_rec.3"
      expl="precondition"
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      sum="f5264a90c014a7732987610e87f981c3"
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      proved="true"
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      expanded="false"
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      shape="Lamk arrayV0V2ainfix <V1V0Aainfix <=c0V1Iainfix =agetV2V1c0NIainfix <V1V0Aainfix <=c0V1Iainfix <V1V0Iainfix <=c0V1Aadecrease1V3FFF">
      <proof
501
       prover="z3-2"
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       timelimit="10"
       edited=""
       obsolete="false">
505
       <result status="valid" time="0.00"/>
506
      </proof>
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      <proof
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       prover="cvc3-2.2"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
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      <proof
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       prover="alt-ergo"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
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     </goal>
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     <goal
      name="WP_parameter search_rec.4"
      expl="precondition"
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      sum="fb551781ee2a504726e5575452493dd1"
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      proved="true"
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      expanded="false"
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      shape="Lamk arrayV0V2ainfix <V1V0Aainfix <=c0V1Iainfix >agetV2V1c0Iainfix <V1V0Aainfix <=c0V1Iainfix =agetV2V1c0NIainfix <V1V0Aainfix <=c0V1Iainfix <V1V0Iainfix <=c0V1Aadecrease1V3FFF">
      <proof
530
       prover="z3-2"
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       timelimit="10"
       edited=""
       obsolete="false">
534
       <result status="valid" time="0.00"/>
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      </proof>
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      <proof
537
       prover="cvc3-2.2"
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       timelimit="10"
       edited=""
       obsolete="false">
541
       <result status="valid" time="0.00"/>
542
      </proof>
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      <proof
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       prover="alt-ergo"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
549 550
      </proof>
     </goal>
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     <goal
      name="WP_parameter search_rec.5"
      expl="precondition"
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      sum="edb522fd9bdc09d0586cab3f54b539e5"
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      proved="true"
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      expanded="false"
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      shape="Lamk arrayV0V2LagetV2V1ainfix <=c0ainfix +V1V4Aadecrease1V3Iainfix <V1V0Aainfix <=c0V1Iainfix >agetV2V1c0Iainfix <V1V0Aainfix <=c0V1Iainfix =agetV2V1c0NIainfix <V1V0Aainfix <=c0V1Iainfix <V1V0Iainfix <=c0V1Aadecrease1V3FFF">
      <proof
559
       prover="z3-2"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.01"/>
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      </proof>
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      <proof
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       prover="cvc3-2.2"
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       timelimit="10"
       edited=""
       obsolete="false">
570
       <result status="valid" time="0.00"/>
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      </proof>
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      <proof
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       prover="alt-ergo"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
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     </goal>
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     <goal
      name="WP_parameter search_rec.6"
      expl="normal postcondition"
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      sum="f2efa796faf398f5332fe70f2d1d1d68"
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      proved="true"
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      expanded="false"
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      shape="Lamk arrayV0V2LagetV2V1ainfix =agetV2V6c0NIainfix <V6V5Aainfix <=V1V6FAainfix =agetV2V5c0Aainfix <V5V0Aainfix <=V1V5Oainfix =agetV2V7c0NIainfix <V7V0Aainfix <=V1V7FAainfix =V5aprefix -c1Iainfix =agetV2V8c0NIainfix <V8V5Aainfix <=ainfix +V1V4V8FAainfix =agetV2V5c0Aainfix <V5V0Aainfix <=ainfix +V1V4V5Oainfix =agetV2V9c0NIainfix <V9V0Aainfix <=ainfix +V1V4V9FAainfix =V5aprefix -c1FIainfix <=c0ainfix +V1V4Aadecrease1V3Iainfix <V1V0Aainfix <=c0V1Iainfix >agetV2V1c0Iainfix <V1V0Aainfix <=c0V1Iainfix =agetV2V1c0NIainfix <V1V0Aainfix <=c0V1Iainfix <V1V0Iainfix <=c0V1Aadecrease1V3FFF">
      <proof
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       prover="coq"
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       timelimit="10"
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       edited="decrease1_WP_Decrease1_WP_parameter_search_rec_1.v"
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       obsolete="false">
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       <result status="valid" time="1.59"/>
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      </proof>
     </goal>
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     <goal
      name="WP_parameter search_rec.7"
      expl="precondition"
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      sum="9d9285ce87fdc9d7e2b77d7b4ece75c6"
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      proved="true"
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      expanded="false"
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      shape="Lamk arrayV0V2ainfix <=c0ainfix +V1c1Aadecrease1V3Iainfix >agetV2V1c0NIainfix <V1V0Aainfix <=c0V1Iainfix =agetV2V1c0NIainfix <V1V0Aainfix <=c0V1Iainfix <V1V0Iainfix <=c0V1Aadecrease1V3FFF">
      <proof
603
       prover="z3-2"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.01"/>
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      </proof>
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      <proof
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       prover="cvc3-2.2"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
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      <proof
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       prover="alt-ergo"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
     </goal>
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     <goal
      name="WP_parameter search_rec.8"
      expl="normal postcondition"
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      sum="01949bff237b67c3ab4f0c7b1bd0fe3f"
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      proved="true"
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      expanded="false"
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      shape="Lamk arrayV0V2ainfix =agetV2V5c0NIainfix <V5V4Aainfix <=V1V5FAainfix =agetV2V4c0Aainfix <V4V0Aainfix <=V1V4Oainfix =agetV2V6c0NIainfix <V6V0Aainfix <=V1V6FAainfix =V4aprefix -c1Iainfix =agetV2V7c0NIainfix <V7V4Aainfix <=ainfix +V1c1V7FAainfix =agetV2V4c0Aainfix <V4V0Aainfix <=ainfix +V1c1V4Oainfix =agetV2V8c0NIainfix <V8V0Aainfix <=ainfix +V1c1V8FAainfix =V4aprefix -c1FIainfix <=c0ainfix +V1c1Aadecrease1V3Iainfix >agetV2V1c0NIainfix <V1V0Aainfix <=c0V1Iainfix =agetV2V1c0NIainfix <V1V0Aainfix <=c0V1Iainfix <V1V0Iainfix <=c0V1Aadecrease1V3FFF">
      <proof
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       prover="z3-2"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.01"/>
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      </proof>
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      <proof
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       prover="cvc3-2.2"
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       timelimit="10"
       edited=""
       obsolete="false">
643
       <result status="valid" time="0.01"/>
644
      </proof>
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      <proof
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       prover="alt-ergo"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.01"/>
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      </proof>
     </goal>
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     <goal
      name="WP_parameter search_rec.9"
      expl="normal postcondition"
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      sum="9b0d88c487a125321238caccb1854975"
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      proved="true"
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      expanded="false"
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      shape="Lamk arrayV0V2ainfix =agetV2V4c0NIainfix <V4aprefix -c1Aainfix <=V1V4FAainfix =agetV2aprefix -c1c0Aainfix <aprefix -c1V0Aainfix <=V1aprefix -c1Oainfix =agetV2V5c0NIainfix <V5V0Aainfix <=V1V5FAainfix =aprefix -c1aprefix -c1Iainfix <V1V0NIainfix <=c0V1Aadecrease1V3FFF">
      <proof
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       prover="z3-2"
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       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.01"/>
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      </proof>
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      <proof
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       prover="cvc3-2.2"
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       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
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      <proof
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       prover="alt-ergo"
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       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
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      </proof>
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     </goal>
    </transf>
   </goal>
  </theory>
 </file>
</why3session>