why3/examples/decrease1/why3session.xml

<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE why3session PUBLIC "-//Why3//proof session v2//EN" "http://why3.lri.fr/why3session.dtd">
<why3session shape_version="2">
 <prover
  id="0"
  name="Alt-Ergo"
  version="0.94"/>
 <prover
  id="1"
  name="CVC3"
  version="2.2"/>
 <prover
  id="2"
  name="CVC3"
  version="2.4.1"/>
 <prover
  id="3"
  name="CVC4"
  version="1.0"/>
 <prover
  id="4"
  name="Coq"
  version="8.3pl4"/>
 <prover
  id="5"
  name="Z3"
  version="2.19"/>
 <prover
  id="6"
  name="Z3"
  version="3.2"/>
 <prover
  id="7"
  name="Z3"
  version="4.2"/>
 <file
  name="../decrease1.mlw"
  verified="true"
  expanded="true">
  <theory
   name="Decrease1"
   locfile="../decrease1.mlw"
   loclnum="8" loccnumb="7" loccnume="16"
   verified="true"
   expanded="true">
   <goal
    name="decrease1_induction"
    locfile="../decrease1.mlw"
    loclnum="17" loccnumb="8" loccnume="27"
    sum="f34773a88a837bf790c403ca5ed17df8"
    proved="true"
    expanded="true"
    shape="ainfix &gt;=amixfix []V0V2ainfix -ainfix +amixfix []V0V1V1V2Iainfix &lt;V2alengthV0Aainfix &lt;=V1V2Aainfix &lt;=c0V1FIadecrease1V0F">
    <proof
     prover="4"
     timelimit="10"
     memlimit="0"
     edited="decrease1_Decrease1_decrease1_induction_2.v"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.56"/>
    </proof>
   </goal>
   <goal
    name="WP_parameter search"
    locfile="../decrease1.mlw"
    loclnum="23" loccnumb="6" loccnume="12"
    expl="VC for search"
    sum="c8e054472441d23d88e3f58aa939192d"
    proved="true"
    expanded="true"
    shape="iainfix &lt;V2V0iainfix =agetV1V2c0ainfix =agetV1V3c0NIainfix &lt;V3V2Aainfix &lt;=c0V3FAainfix =agetV1V2c0Aainfix &lt;V2V0Aainfix &lt;=c0V2Oainfix =agetV1V4c0NIainfix &lt;V4V0Aainfix &lt;=c0V4FAainfix =V2aprefix -c1iainfix &gt;agetV1V2c0ainfix &lt;ainfix -V0V5ainfix -V0V2Aainfix &lt;=c0ainfix -V0V2Aainfix =agetV1V6c0NIainfix &lt;V6V0Iainfix &lt;V6V5Aainfix &lt;=c0V6FAainfix &lt;=c0V5Iainfix =V5ainfix +V2agetV1V2FAainfix &lt;V2V0Aainfix &lt;=c0V2ainfix &lt;ainfix -V0V7ainfix -V0V2Aainfix &lt;=c0ainfix -V0V2Aainfix =agetV1V8c0NIainfix &lt;V8V0Iainfix &lt;V8V7Aainfix &lt;=c0V8FAainfix &lt;=c0V7Iainfix =V7ainfix +V2c1FAainfix &lt;V2V0Aainfix &lt;=c0V2Aainfix &lt;V2V0Aainfix &lt;=c0V2ainfix =agetV1V9c0NIainfix &lt;V9aprefix -c1Aainfix &lt;=c0V9FAainfix =agetV1aprefix -c1c0Aainfix &lt;aprefix -c1V0Aainfix &lt;=c0aprefix -c1Oainfix =agetV1V10c0NIainfix &lt;V10V0Aainfix &lt;=c0V10FAainfix =aprefix -c1aprefix -c1Iainfix =agetV1V11c0NIainfix &lt;V11V0Iainfix &lt;V11V2Aainfix &lt;=c0V11FAainfix &lt;=c0V2FAainfix =agetV1V12c0NIainfix &lt;V12V0Iainfix &lt;V12c0Aainfix &lt;=c0V12FAainfix &lt;=c0c0Iadecrease1amk arrayV0V1Aainfix &lt;=c0V0FF">
    <label
     name="expl:VC for search"/>
    <transf
     name="split_goal"
     proved="true"
     expanded="true">
     <goal
      name="WP_parameter search.1"
      locfile="../decrease1.mlw"
      loclnum="23" loccnumb="6" loccnume="12"
      expl="1. loop invariant init"
      sum="42655fd3650f5d580a04f8e92b0e5194"
      proved="true"
      expanded="true"
      shape="ainfix &lt;=c0c0Iadecrease1amk arrayV0V1Aainfix &lt;=c0V0FF">
      <label
       name="expl:VC for search"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
      <proof
       prover="6"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
      <proof
       prover="7"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter search.2"
      locfile="../decrease1.mlw"
      loclnum="23" loccnumb="6" loccnume="12"
      expl="2. loop invariant init"
      sum="0e30af88f1b4e4a2d5bfeeac1ee93f67"
      proved="true"
      expanded="true"
      shape="ainfix =agetV1V2c0NIainfix &lt;V2V0Iainfix &lt;V2c0Aainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0FF">
      <label
       name="expl:VC for search"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
      <proof
       prover="1"
       timelimit="10"
       memlimit="0"
       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="5"
       timelimit="10"
       memlimit="0"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
      <proof
       prover="6"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
      <proof
       prover="7"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter search.3"
      locfile="../decrease1.mlw"
      loclnum="23" loccnumb="6" loccnume="12"
      expl="3. precondition"
      sum="0865805f1be511d2087380aa87b0bbbd"
      proved="true"
      expanded="true"
      shape="ainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0Iainfix =agetV1V3c0NIainfix &lt;V3V0Iainfix &lt;V3V2Aainfix &lt;=c0V3FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0FF">
      <label
       name="expl:VC for search"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
      <proof
       prover="1"
       timelimit="10"
       memlimit="0"
       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="5"
       timelimit="10"
       memlimit="0"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
      <proof
       prover="6"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="7"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.03"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter search.4"
      locfile="../decrease1.mlw"
      loclnum="23" loccnumb="6" loccnume="12"
      expl="4. postcondition"
      sum="28ffa793a7fd00700f160f92e3c55f08"
      proved="true"
      expanded="true"
      shape="ainfix =agetV1V3c0NIainfix &lt;V3V2Aainfix &lt;=c0V3FAainfix =agetV1V2c0Aainfix &lt;V2V0Aainfix &lt;=c0V2Oainfix =agetV1V4c0NIainfix &lt;V4V0Aainfix &lt;=c0V4FAainfix =V2aprefix -c1Iainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0Iainfix =agetV1V5c0NIainfix &lt;V5V0Iainfix &lt;V5V2Aainfix &lt;=c0V5FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0FF">
      <label
       name="expl:VC for search"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
      <proof
       prover="1"
       timelimit="10"
       memlimit="0"
       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="0.02"/>
      </proof>
      <proof
       prover="5"
       timelimit="10"
       memlimit="0"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.03"/>
      </proof>
      <proof
       prover="6"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="7"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter search.5"
      locfile="../decrease1.mlw"
      loclnum="23" loccnumb="6" loccnume="12"
      expl="5. precondition"
      sum="219a976aa1b1ddb3ffa6b9b558cd1a42"
      proved="true"
      expanded="true"
      shape="ainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix =agetV1V2c0NIainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0Iainfix =agetV1V3c0NIainfix &lt;V3V0Iainfix &lt;V3V2Aainfix &lt;=c0V3FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0FF">
      <label
       name="expl:VC for search"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
      <proof
       prover="1"
       timelimit="10"
       memlimit="0"
       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="0.01"/>
      </proof>
      <proof
       prover="5"
       timelimit="10"
       memlimit="0"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
      <proof
       prover="6"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
      <proof
       prover="7"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter search.6"
      locfile="../decrease1.mlw"
      loclnum="23" loccnumb="6" loccnume="12"
      expl="6. precondition"
      sum="e12e0098fae619f1f885a98460885f26"
      proved="true"
      expanded="true"
      shape="ainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix =agetV1V2c0NIainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0Iainfix =agetV1V3c0NIainfix &lt;V3V0Iainfix &lt;V3V2Aainfix &lt;=c0V3FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0FF">
      <label
       name="expl:VC for search"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
      <proof
       prover="1"
       timelimit="10"
       memlimit="0"
       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="0.01"/>
      </proof>
      <proof
       prover="5"
       timelimit="10"
       memlimit="0"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
      <proof
       prover="6"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
      <proof
       prover="7"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter search.7"
      locfile="../decrease1.mlw"
      loclnum="23" loccnumb="6" loccnume="12"
      expl="7. loop invariant preservation"
      sum="d111a67e644155467aa23a98327c1918"
      proved="true"
      expanded="false"
      shape="ainfix &lt;=c0V3Iainfix =V3ainfix +V2agetV1V2FIainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix =agetV1V2c0NIainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0Iainfix =agetV1V4c0NIainfix &lt;V4V0Iainfix &lt;V4V2Aainfix &lt;=c0V4FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0FF">
      <label
       name="expl:VC for search"/>
      <proof
       prover="0"
       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="0.02"/>
      </proof>
      <proof
       prover="6"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="7"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.03"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter search.8"
      locfile="../decrease1.mlw"
      loclnum="23" loccnumb="6" loccnume="12"
      expl="8. loop invariant preservation"
      sum="12d088fd8f28d55cd0eaa190d971666b"
      proved="true"
      expanded="true"
      shape="ainfix =agetV1V4c0NIainfix &lt;V4V0Iainfix &lt;V4V3Aainfix &lt;=c0V4FIainfix =V3ainfix +V2agetV1V2FIainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix =agetV1V2c0NIainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0Iainfix =agetV1V5c0NIainfix &lt;V5V0Iainfix &lt;V5V2Aainfix &lt;=c0V5FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0FF">
      <label
       name="expl:VC for search"/>
      <proof
       prover="5"
       timelimit="10"
       memlimit="0"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="6"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.09"/>
      </proof>
      <proof
       prover="7"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.12"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter search.9"
      locfile="../decrease1.mlw"
      loclnum="23" loccnumb="6" loccnume="12"
      expl="9. loop variant decrease"
      sum="0d506c9ebcdb162d02a327af133b06df"
      proved="true"
      expanded="true"
      shape="ainfix &lt;ainfix -V0V3ainfix -V0V2Aainfix &lt;=c0ainfix -V0V2Iainfix =V3ainfix +V2agetV1V2FIainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix =agetV1V2c0NIainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0Iainfix =agetV1V4c0NIainfix &lt;V4V0Iainfix &lt;V4V2Aainfix &lt;=c0V4FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0FF">
      <label
       name="expl:VC for search"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
      <proof
       prover="1"
       timelimit="10"
       memlimit="0"
       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="0.02"/>
      </proof>
      <proof
       prover="5"
       timelimit="10"
       memlimit="0"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="6"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="7"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter search.10"
      locfile="../decrease1.mlw"
      loclnum="23" loccnumb="6" loccnume="12"
      expl="10. loop invariant preservation"
      sum="d373f21298df8b6817682bae7c638b0e"
      proved="true"
      expanded="false"
      shape="ainfix &lt;=c0V3Iainfix =V3ainfix +V2c1FIainfix &gt;agetV1V2c0NIainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix =agetV1V2c0NIainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0Iainfix =agetV1V4c0NIainfix &lt;V4V0Iainfix &lt;V4V2Aainfix &lt;=c0V4FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0FF">
      <label
       name="expl:VC for search"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
      <proof
       prover="6"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="7"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter search.11"
      locfile="../decrease1.mlw"
      loclnum="23" loccnumb="6" loccnume="12"
      expl="11. loop invariant preservation"
      sum="af89f623d2b000afc0655f824008aa54"
      proved="true"
      expanded="true"
      shape="ainfix =agetV1V4c0NIainfix &lt;V4V0Iainfix &lt;V4V3Aainfix &lt;=c0V4FIainfix =V3ainfix +V2c1FIainfix &gt;agetV1V2c0NIainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix =agetV1V2c0NIainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0Iainfix =agetV1V5c0NIainfix &lt;V5V0Iainfix &lt;V5V2Aainfix &lt;=c0V5FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0FF">
      <label
       name="expl:VC for search"/>
      <proof
       prover="0"
       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="6"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="7"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter search.12"
      locfile="../decrease1.mlw"
      loclnum="23" loccnumb="6" loccnume="12"
      expl="12. loop variant decrease"
      sum="c8f51617e6d503a2b7898617f2504ac5"
      proved="true"
      expanded="true"
      shape="ainfix &lt;ainfix -V0V3ainfix -V0V2Aainfix &lt;=c0ainfix -V0V2Iainfix =V3ainfix +V2c1FIainfix &gt;agetV1V2c0NIainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix =agetV1V2c0NIainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0Iainfix =agetV1V4c0NIainfix &lt;V4V0Iainfix &lt;V4V2Aainfix &lt;=c0V4FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0FF">
      <label
       name="expl:VC for search"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
      <proof
       prover="1"
       timelimit="10"
       memlimit="0"
       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="0.01"/>
      </proof>
      <proof
       prover="5"
       timelimit="10"
       memlimit="0"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="6"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="7"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.03"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter search.13"
      locfile="../decrease1.mlw"
      loclnum="23" loccnumb="6" loccnume="12"
      expl="13. postcondition"
      sum="777d9e5e25fb37d3d8662498a9962b95"
      proved="true"
      expanded="true"
      shape="ainfix =agetV1V3c0NIainfix &lt;V3aprefix -c1Aainfix &lt;=c0V3FAainfix =agetV1aprefix -c1c0Aainfix &lt;aprefix -c1V0Aainfix &lt;=c0aprefix -c1Oainfix =agetV1V4c0NIainfix &lt;V4V0Aainfix &lt;=c0V4FAainfix =aprefix -c1aprefix -c1Iainfix &lt;V2V0NIainfix =agetV1V5c0NIainfix &lt;V5V0Iainfix &lt;V5V2Aainfix &lt;=c0V5FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0FF">
      <label
       name="expl:VC for search"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
      <proof
       prover="1"
       timelimit="10"
       memlimit="0"
       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="0.01"/>
      </proof>
      <proof
       prover="5"
       timelimit="10"
       memlimit="0"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="6"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="7"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
     </goal>
    </transf>
   </goal>
   <goal
    name="WP_parameter search_rec"
    locfile="../decrease1.mlw"
    loclnum="43" loccnumb="10" loccnume="20"
    expl="VC for search_rec"
    sum="db9a494e062bed92f42a214ec7347b3b"
    proved="true"
    expanded="true"
    shape="iainfix &lt;V1V0iainfix =agetV2V1c0ainfix =agetV2V4c0NIainfix &lt;V4V1Aainfix &lt;=V1V4FAainfix =agetV2V1c0Aainfix &lt;V1V0Aainfix &lt;=V1V1Oainfix =agetV2V5c0NIainfix &lt;V5V0Aainfix &lt;=V1V5FAainfix =V1aprefix -c1iainfix &gt;agetV2V1c0ainfix =agetV2V8c0NIainfix &lt;V8V7Aainfix &lt;=V1V8FAainfix =agetV2V7c0Aainfix &lt;V7V0Aainfix &lt;=V1V7Oainfix =agetV2V9c0NIainfix &lt;V9V0Aainfix &lt;=V1V9FAainfix =V7aprefix -c1Iainfix =agetV2V10c0NIainfix &lt;V10V7Aainfix &lt;=ainfix +V1V6V10FAainfix =agetV2V7c0Aainfix &lt;V7V0Aainfix &lt;=ainfix +V1V6V7Oainfix =agetV2V11c0NIainfix &lt;V11V0Aainfix &lt;=ainfix +V1V6V11FAainfix =V7aprefix -c1FAainfix &lt;=c0ainfix +V1V6Aadecrease1V3LagetV2V1Aainfix &lt;V1V0Aainfix &lt;=c0V1ainfix =agetV2V13c0NIainfix &lt;V13V12Aainfix &lt;=V1V13FAainfix =agetV2V12c0Aainfix &lt;V12V0Aainfix &lt;=V1V12Oainfix =agetV2V14c0NIainfix &lt;V14V0Aainfix &lt;=V1V14FAainfix =V12aprefix -c1Iainfix =agetV2V15c0NIainfix &lt;V15V12Aainfix &lt;=ainfix +V1c1V15FAainfix =agetV2V12c0Aainfix &lt;V12V0Aainfix &lt;=ainfix +V1c1V12Oainfix =agetV2V16c0NIainfix &lt;V16V0Aainfix &lt;=ainfix +V1c1V16FAainfix =V12aprefix -c1FAainfix &lt;=c0ainfix +V1c1Aadecrease1V3Aainfix &lt;V1V0Aainfix &lt;=c0V1Aainfix &lt;V1V0Aainfix &lt;=c0V1ainfix =agetV2V17c0NIainfix &lt;V17aprefix -c1Aainfix &lt;=V1V17FAainfix =agetV2aprefix -c1c0Aainfix &lt;aprefix -c1V0Aainfix &lt;=V1aprefix -c1Oainfix =agetV2V18c0NIainfix &lt;V18V0Aainfix &lt;=V1V18FAainfix =aprefix -c1aprefix -c1Iainfix &lt;=c0V1Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V2FF">
    <label
     name="expl:VC for search_rec"/>
    <transf
     name="split_goal"
     proved="true"
     expanded="true">
     <goal
      name="WP_parameter search_rec.1"
      locfile="../decrease1.mlw"
      loclnum="43" loccnumb="10" loccnume="20"
      expl="1. precondition"
      sum="30f9b5de0b3e8585e4b25685f3c846a2"
      proved="true"
      expanded="true"
      shape="ainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix &lt;V1V0Iainfix &lt;=c0V1Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V2FF">
      <label
       name="expl:VC for search_rec"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
      <proof
       prover="1"
       timelimit="10"
       memlimit="0"
       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="0.01"/>
      </proof>
      <proof
       prover="5"
       timelimit="10"
       memlimit="0"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="6"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="7"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter search_rec.2"
      locfile="../decrease1.mlw"
      loclnum="43" loccnumb="10" loccnume="20"
      expl="2. postcondition"
      sum="aeece1eff8071578b5e94ed077db2dc6"
      proved="true"
      expanded="true"
      shape="ainfix =agetV2V4c0NIainfix &lt;V4V1Aainfix &lt;=V1V4FAainfix =agetV2V1c0Aainfix &lt;V1V0Aainfix &lt;=V1V1Oainfix =agetV2V5c0NIainfix &lt;V5V0Aainfix &lt;=V1V5FAainfix =V1aprefix -c1Iainfix =agetV2V1c0Iainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix &lt;V1V0Iainfix &lt;=c0V1Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V2FF">
      <label
       name="expl:VC for search_rec"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
      <proof
       prover="1"
       timelimit="10"
       memlimit="0"
       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="0.02"/>
      </proof>
      <proof
       prover="5"
       timelimit="10"
       memlimit="0"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
      <proof
       prover="6"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="7"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter search_rec.3"
      locfile="../decrease1.mlw"
      loclnum="43" loccnumb="10" loccnume="20"
      expl="3. precondition"
      sum="faec8e700142ef708f98df0c12976324"
      proved="true"
      expanded="true"
      shape="ainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix =agetV2V1c0NIainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix &lt;V1V0Iainfix &lt;=c0V1Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V2FF">
      <label
       name="expl:VC for search_rec"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
      <proof
       prover="1"
       timelimit="10"
       memlimit="0"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
      <proof
       prover="5"
       timelimit="10"
       memlimit="0"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
      <proof
       prover="6"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
      <proof
       prover="7"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter search_rec.4"
      locfile="../decrease1.mlw"
      loclnum="43" loccnumb="10" loccnume="20"
      expl="4. precondition"
      sum="d6fd0ee132c10b0bae44c88be3dd1831"
      proved="true"
      expanded="true"
      shape="ainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix &gt;agetV2V1c0Iainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix =agetV2V1c0NIainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix &lt;V1V0Iainfix &lt;=c0V1Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V2FF">
      <label
       name="expl:VC for search_rec"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
      <proof
       prover="1"
       timelimit="10"
       memlimit="0"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
      <proof
       prover="5"
       timelimit="10"
       memlimit="0"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
      <proof
       prover="6"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
      <proof
       prover="7"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter search_rec.5"
      locfile="../decrease1.mlw"
      loclnum="43" loccnumb="10" loccnume="20"
      expl="5. precondition"
      sum="e203a2b79a8bfee4bea7ba4fd42a24a0"
      proved="true"
      expanded="true"
      shape="ainfix &lt;=c0ainfix +V1V4Aadecrease1V3LagetV2V1Iainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix &gt;agetV2V1c0Iainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix =agetV2V1c0NIainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix &lt;V1V0Iainfix &lt;=c0V1Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V2FF">
      <label
       name="expl:VC for search_rec"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
      <proof
       prover="1"
       timelimit="10"
       memlimit="0"
       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="0.01"/>
      </proof>
      <proof
       prover="5"
       timelimit="10"
       memlimit="0"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="6"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="7"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter search_rec.6"
      locfile="../decrease1.mlw"
      loclnum="43" loccnumb="10" loccnume="20"
      expl="6. postcondition"
      sum="17a62f9d0b135619e1bdf1f310693746"
      proved="true"
      expanded="true"
      shape="ainfix =agetV2V6c0NIainfix &lt;V6V5Aainfix &lt;=V1V6FAainfix =agetV2V5c0Aainfix &lt;V5V0Aainfix &lt;=V1V5Oainfix =agetV2V7c0NIainfix &lt;V7V0Aainfix &lt;=V1V7FAainfix =V5aprefix -c1Iainfix =agetV2V8c0NIainfix &lt;V8V5Aainfix &lt;=ainfix +V1V4V8FAainfix =agetV2V5c0Aainfix &lt;V5V0Aainfix &lt;=ainfix +V1V4V5Oainfix =agetV2V9c0NIainfix &lt;V9V0Aainfix &lt;=ainfix +V1V4V9FAainfix =V5aprefix -c1FIainfix &lt;=c0ainfix +V1V4Aadecrease1V3LagetV2V1Iainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix &gt;agetV2V1c0Iainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix =agetV2V1c0NIainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix &lt;V1V0Iainfix &lt;=c0V1Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V2FF">
      <label
       name="expl:VC for search_rec"/>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.03"/>
      </proof>
      <proof
       prover="6"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.33"/>
      </proof>
      <proof
       prover="7"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.80"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter search_rec.7"
      locfile="../decrease1.mlw"
      loclnum="43" loccnumb="10" loccnume="20"
      expl="7. precondition"
      sum="1f57e6877680aca4157c90253e1e3c36"
      proved="true"
      expanded="true"
      shape="ainfix &lt;=c0ainfix +V1c1Aadecrease1V3Iainfix &gt;agetV2V1c0NIainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix =agetV2V1c0NIainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix &lt;V1V0Iainfix &lt;=c0V1Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V2FF">
      <label
       name="expl:VC for search_rec"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
      <proof
       prover="1"
       timelimit="10"
       memlimit="0"
       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="5"
       timelimit="10"
       memlimit="0"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="6"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="7"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.03"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter search_rec.8"
      locfile="../decrease1.mlw"
      loclnum="43" loccnumb="10" loccnume="20"
      expl="8. postcondition"
      sum="ed262e55fd1f4ca09148b560c3a3ad44"
      proved="true"
      expanded="true"
      shape="ainfix =agetV2V5c0NIainfix &lt;V5V4Aainfix &lt;=V1V5FAainfix =agetV2V4c0Aainfix &lt;V4V0Aainfix &lt;=V1V4Oainfix =agetV2V6c0NIainfix &lt;V6V0Aainfix &lt;=V1V6FAainfix =V4aprefix -c1Iainfix =agetV2V7c0NIainfix &lt;V7V4Aainfix &lt;=ainfix +V1c1V7FAainfix =agetV2V4c0Aainfix &lt;V4V0Aainfix &lt;=ainfix +V1c1V4Oainfix =agetV2V8c0NIainfix &lt;V8V0Aainfix &lt;=ainfix +V1c1V8FAainfix =V4aprefix -c1FIainfix &lt;=c0ainfix +V1c1Aadecrease1V3Iainfix &gt;agetV2V1c0NIainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix =agetV2V1c0NIainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix &lt;V1V0Iainfix &lt;=c0V1Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V2FF">
      <label
       name="expl:VC for search_rec"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="1"
       timelimit="10"
       memlimit="0"
       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="0.02"/>
      </proof>
      <proof
       prover="5"
       timelimit="10"
       memlimit="0"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.03"/>
      </proof>
      <proof
       prover="6"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="7"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter search_rec.9"
      locfile="../decrease1.mlw"
      loclnum="43" loccnumb="10" loccnume="20"
      expl="9. postcondition"
      sum="f2dd65c9c85c767ed0bd45621479eabe"
      proved="true"
      expanded="true"
      shape="ainfix =agetV2V4c0NIainfix &lt;V4aprefix -c1Aainfix &lt;=V1V4FAainfix =agetV2aprefix -c1c0Aainfix &lt;aprefix -c1V0Aainfix &lt;=V1aprefix -c1Oainfix =agetV2V5c0NIainfix &lt;V5V0Aainfix &lt;=V1V5FAainfix =aprefix -c1aprefix -c1Iainfix &lt;V1V0NIainfix &lt;=c0V1Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V2FF">
      <label
       name="expl:VC for search_rec"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
      <proof
       prover="1"
       timelimit="10"
       memlimit="0"
       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="0.02"/>
      </proof>
      <proof
       prover="5"
       timelimit="10"
       memlimit="0"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="6"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="7"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
     </goal>
    </transf>
   </goal>
  </theory>
 </file>
</why3session>