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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="0.93"/>
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 <prover
  id="alt-ergo-0.93.1"
  name="Alt-Ergo"
  version="0.93.1"/>
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 <prover
  id="coq"
  name="Coq"
  version="8.3pl2"/>
 <prover
  id="cvc3"
  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 Namring"/>
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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
  id="z3"
  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="06fd9ee98c43841c1c0a4c9845f02281"
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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="0.59"/>
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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="23a52b39309389aa806bd79c272fabf4"
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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="b050f81a8d6419348ab909012eaf9e0f"
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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
       prover="cvc3"
       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
       prover="alt-ergo"
       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
       prover="z3"
       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="83d3dcfb99d5035f54d0e1c76de00dd5"
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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
       prover="cvc3"
       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
       prover="alt-ergo"
       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
       prover="z3"
       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.01"/>
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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="0086fc12ecc97491545a5caa70d16f63"
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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
       prover="cvc3"
       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
       prover="alt-ergo"
       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
       prover="z3"
       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.4"
      expl="precondition"
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      sum="ee2b266d829cd5b1f7f0e53c17de2f61"
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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
       prover="cvc3"
       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
       prover="alt-ergo"
       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
       prover="z3"
       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="da20877263853e32bc512f870376af81"
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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
       prover="cvc3"
       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
       prover="alt-ergo"
       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
       prover="z3"
       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="7f7cb87683d29d50430f712ad895b78a"
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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"
        sum="f553b214dc8b8dad11e14e86d31c7f05"
        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
         prover="alt-ergo-0.93.1"
         timelimit="5"
         edited=""
         obsolete="false">
         <result status="valid" time="0.01"/>
        </proof>
        <proof
         prover="z3-3"
         timelimit="5"
         edited=""
         obsolete="false">
         <result status="valid" time="0.00"/>
        </proof>
        <proof
         prover="cvc3"
         timelimit="5"
         edited=""
         obsolete="false">
         <result status="valid" time="0.00"/>
        </proof>
        <proof
         prover="alt-ergo"
         timelimit="5"
         edited=""
         obsolete="false">
         <result status="valid" time="0.01"/>
        </proof>
        <proof
         prover="z3"
         timelimit="5"
         edited=""
         obsolete="false">
         <result status="valid" time="0.01"/>
        </proof>
        <proof
         prover="cvc3-2.4"
         timelimit="5"
         edited=""
         obsolete="false">
         <result status="valid" time="0.00"/>
        </proof>
       </goal>
       <goal
        name="WP_parameter search.6.2"
        expl="parameter search"
        sum="ad947aa2c56308e913377fba7bb7ab97"
        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
         prover="z3"
         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="5ff72387ea44a3e8c67ba1a071b9aa6d"
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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
       prover="cvc3"
       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
       prover="alt-ergo"
       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
       prover="z3"
       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.8"
      expl="loop invariant preservation"
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      sum="96a259f7332a1a712f4264feb7cc5e2c"
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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
       prover="cvc3"
       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
       prover="alt-ergo"
       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.02"/>
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      </proof>
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      <proof
       prover="z3"
       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.9"
      expl="loop variant decreases"
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      sum="e54ea5ded29a200ea6586b3a8286ec94"
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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
       prover="cvc3"
       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
       prover="alt-ergo"
       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
       prover="z3"
       timelimit="10"
       edited=""
       obsolete="false">
401
       <result status="valid" time="0.01"/>
402 403
      </proof>
     </goal>
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     <goal
      name="WP_parameter search.10"
      expl="normal postcondition"
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      sum="5d73b16bd96d43d87ac8286d00f0d5c9"
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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
       prover="cvc3"
       timelimit="10"
       edited=""
       obsolete="false">
416
       <result status="valid" time="0.00"/>
417
      </proof>
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      <proof
       prover="alt-ergo"
       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
       prover="z3"
       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.01"/>
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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="49524cf270ec952a552d0d4a70e6c7ad"
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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="90b6b064f25a2b6146cda3eb4237ad52"
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      proved="true"
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      expanded="false"
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      shape="Lamk arrayV0V2ainfix <V1V0Aainfix <=c0V1Iainfix <V1V0Iainfix <=c0V1Aadecrease1V3FFF">
      <proof
       prover="cvc3"
       timelimit="10"
       edited=""
       obsolete="false">
458
       <result status="valid" time="0.00"/>
459
      </proof>
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      <proof
       prover="alt-ergo"
       timelimit="10"
       edited=""
       obsolete="false">
465
       <result status="valid" time="0.01"/>
466
      </proof>
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      <proof
       prover="z3"
       timelimit="10"
       edited=""
       obsolete="false">
472
       <result status="valid" time="0.01"/>
473
      </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="6243ac68b9dfedd0abb7b3747e91b40d"
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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
       prover="cvc3"
       timelimit="10"
       edited=""
       obsolete="false">
487
       <result status="valid" time="0.00"/>
488
      </proof>
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      <proof
       prover="alt-ergo"
       timelimit="10"
       edited=""
       obsolete="false">
494
       <result status="valid" time="0.01"/>
495
      </proof>
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      <proof
       prover="z3"
       timelimit="10"
       edited=""
       obsolete="false">
501
       <result status="valid" time="0.01"/>
502 503
      </proof>
     </goal>
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     <goal
      name="WP_parameter search_rec.3"
      expl="precondition"
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      sum="2835feaa6293bd94711c6cd9b678b6e7"
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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
       prover="cvc3"
       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
517
      </proof>
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      <proof
       prover="alt-ergo"
       timelimit="10"
       edited=""
       obsolete="false">
523
       <result status="valid" time="0.01"/>
524
      </proof>
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      <proof
       prover="z3"
       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="d2ebc01988a5383211f140df5ce72439"
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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
       prover="cvc3"
       timelimit="10"
       edited=""
       obsolete="false">
545
       <result status="valid" time="0.00"/>
546
      </proof>
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      <proof
       prover="alt-ergo"
       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.02"/>
553
      </proof>
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      <proof
       prover="z3"
       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
560 561
      </proof>
     </goal>
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     <goal
      name="WP_parameter search_rec.5"
      expl="precondition"
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      sum="829965def15fb0b4410a51b74e1a9124"
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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
       prover="cvc3"
       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
575
      </proof>
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      <proof
       prover="alt-ergo"
       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.01"/>
582
      </proof>
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      <proof
       prover="z3"
       timelimit="10"
       edited=""
       obsolete="false">
588
       <result status="valid" time="0.01"/>
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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="aeb4bc98fa8b1e273b9f2def4d6d58f2"
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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
599
       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="a6afe7ba594b8c19f00fc0b056e1f06e"
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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
       prover="cvc3"
       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.00"/>
619
      </proof>
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      <proof
       prover="alt-ergo"
       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.02"/>
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      </proof>
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      <proof
       prover="z3"
       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.8"
      expl="normal postcondition"
MARCHE Claude's avatar
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      sum="6677855eec908e64d86754fc5d8f4422"
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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
       prover="cvc3"
       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
       prover="alt-ergo"
       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.02"/>
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      </proof>
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      <proof
       prover="z3"
       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="6920d22274d6a460998f958dc928d64d"
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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
       prover="cvc3"
       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
       prover="alt-ergo"
       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
       prover="z3"
       timelimit="10"
       edited=""
       obsolete="false">
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       <result status="valid" time="0.01"/>
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      </proof>
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     </goal>
    </transf>
   </goal>
  </theory>
 </file>
</why3session>