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="0.95.1"/>
 <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="4.3.1"/>
 <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="0fd37c875502e67fe87c70aa5e8a505d"
    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="1b805f659d275c574d09026adb4a2ff9"
    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="e953033cdc2798cc64b6cf6c75b10263"
      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="284528f3bb71a42c06feea465f85b66e"
      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="acf51b33329548a79f636b35b3ec82cf"
      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="612aa61d2f7dda00460b605852985fc2"
      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="500132f5e3e57a9ccd72a1f6dcdbcfb7"
      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="b50ad50052842cb8ae1e5b0429e0fdd7"
      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="b31b8b4fbf5faedd02beafb18f3ef50d"
      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="4c108dc9d666959f8584354a15aa16c9"
      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="726242155af16213f7c291f3333766a9"
      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="cf38ff8b8b73cd91b9206229946babaa"
      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="16ef204f4fba9d911a6b1535a8e30948"
      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="79358f0faba94b6f85b0355a5aa2322d"
      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="bde1190c3888f061f4eb71b2222f010b"
      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="91e014473ed15dedbdacbd29090a70a0"
    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="816b80628a0890f5985c94cf73e18033"
      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="1d7bca3c1425e0b129772f048e587b48"
      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="5625b79fb38d14017fa3651f374d096f"
      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="b7bfb0a29ed348b16431d5dd5eae2242"
      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="a9336b570b8f30f09c15b97e86f1d3ff"
      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="e066db41e091f122bc10f1b7301f7610"
      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="1.43"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter search_rec.7"
      locfile="../decrease1.mlw"
      loclnum="43" loccnumb="10" loccnume="20"
      expl="7. precondition"
      sum="e1c8be9c816160b24d1b01b505aac304"
      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="2b2a373ce39844569c2be28b29409c50"
      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="9b504cecfe62df3a829234f8b99666d4"
      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>