why3/examples/decrease1/why3session.xml

<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
"http://why3.lri.fr/why3session.dtd">
<why3session shape_version="4">
 <prover id="0" name="CVC4" version="1.2" timelimit="5" memlimit="1000"/>
 <prover id="1" name="Alt-Ergo" version="0.95.1" timelimit="5"
  memlimit="1000"/>
 <prover id="2" name="CVC3" version="2.4.1" timelimit="5" memlimit="1000"/>
 <prover id="3" name="Z3" version="2.19" timelimit="10" memlimit="0"/>
 <prover id="4" name="CVC3" version="2.2" timelimit="10" memlimit="0"/>
 <prover id="5" name="Z3" version="4.3.1" timelimit="5" memlimit="1000"/>
 <prover id="6" name="Z3" version="3.2" timelimit="5" memlimit="1000"/>
 <prover id="7" name="Coq" version="8.4pl3" timelimit="10" memlimit="0"/>
 <file name="../decrease1.mlw"
  expanded="true">
  <theory name="Decrease1"
   expanded="true">
   <goal name="decrease1_induction" sum="961c136b53e2b0a5600f4c2e4dcb2cab"
    expanded="true">
    <proof prover="7"
     edited="decrease1_Decrease1_decrease1_induction_2.v">
     <result status="valid" time="1.10"/>
    </proof>
   </goal>
   <goal name="WP_parameter search" expl="VC for search"
    sum="3cfdff5a028701e3677754d2a68050f3"
    expanded="true">
    <label name="expl:VC for search"/>
    <transf name="split_goal"
     expanded="true">
     <goal name="WP_parameter search.1" expl="1. loop invariant init"
      sum="a55c66dd7cc2165e28cab99f05113695"
      expanded="true">
      <label name="expl:VC for search"/>
      <proof prover="1">
       <result status="valid" time="0.00"/>
      </proof>
      <proof prover="2">
       <result status="valid" time="0.00"/>
      </proof>
      <proof prover="5">
       <result status="valid" time="0.00"/>
      </proof>
      <proof prover="6">
       <result status="valid" time="0.00"/>
      </proof>
     </goal>
     <goal name="WP_parameter search.2" expl="2. loop invariant init"
      sum="44108b68db1c73d2c4c5ece30a7f6848"
      expanded="true">
      <label name="expl:VC for search"/>
      <proof prover="1">
       <result status="valid" time="0.00"/>
      </proof>
      <proof prover="2">
       <result status="valid" time="0.00"/>
      </proof>
      <proof prover="3">
       <result status="valid" time="0.00"/>
      </proof>
      <proof prover="4">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="5">
       <result status="valid" time="0.00"/>
      </proof>
      <proof prover="6">
       <result status="valid" time="0.00"/>
      </proof>
     </goal>
     <goal name="WP_parameter search.3" expl="3. index in array bounds"
      sum="5be4f05f69e28e31b09f0fc7a7e70d66"
      expanded="true">
      <label name="expl:VC for search"/>
      <proof prover="1">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="2">
       <result status="valid" time="0.00"/>
      </proof>
      <proof prover="3">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="4">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="5">
       <result status="valid" time="0.03"/>
      </proof>
      <proof prover="6">
       <result status="valid" time="0.02"/>
      </proof>
     </goal>
     <goal name="WP_parameter search.4" expl="4. postcondition"
      sum="83fb688825d6f070c169bfe1c3d2c2e4"
      expanded="true">
      <label name="expl:VC for search"/>
      <proof prover="1">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="2">
       <result status="valid" time="0.02"/>
      </proof>
      <proof prover="3">
       <result status="valid" time="0.03"/>
      </proof>
      <proof prover="4">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="5">
       <result status="valid" time="0.02"/>
      </proof>
      <proof prover="6">
       <result status="valid" time="0.02"/>
      </proof>
     </goal>
     <goal name="WP_parameter search.5" expl="5. index in array bounds"
      sum="a9b4dd17cdf827653126b1331a6bb5c7"
      expanded="true">
      <label name="expl:VC for search"/>
      <proof prover="1">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="2">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="3">
       <result status="valid" time="0.00"/>
      </proof>
      <proof prover="4">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="5">
       <result status="valid" time="0.00"/>
      </proof>
      <proof prover="6">
       <result status="valid" time="0.00"/>
      </proof>
     </goal>
     <goal name="WP_parameter search.6" expl="6. index in array bounds"
      sum="ede02cbcaf258afe0e96c192159482be"
      expanded="true">
      <label name="expl:VC for search"/>
      <proof prover="1">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="2">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="3">
       <result status="valid" time="0.00"/>
      </proof>
      <proof prover="4">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="5">
       <result status="valid" time="0.00"/>
      </proof>
      <proof prover="6">
       <result status="valid" time="0.00"/>
      </proof>
     </goal>
     <goal name="WP_parameter search.7" expl="7. loop invariant preservation"
      sum="6d209c7c20f90367bb106e21200be5e1"
      expanded="true">
      <label name="expl:VC for search"/>
      <proof prover="1">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="2">
       <result status="valid" time="0.02"/>
      </proof>
      <proof prover="5">
       <result status="valid" time="0.03"/>
      </proof>
      <proof prover="6">
       <result status="valid" time="0.02"/>
      </proof>
     </goal>
     <goal name="WP_parameter search.8" expl="8. loop invariant preservation"
      sum="ce98ddee293983167dd02e56d611b8cc"
      expanded="true">
      <label name="expl:VC for search"/>
      <proof prover="3">
       <result status="valid" time="0.02"/>
      </proof>
      <proof prover="5">
       <result status="valid" time="0.00"/>
      </proof>
      <proof prover="6">
       <result status="valid" time="0.09"/>
      </proof>
     </goal>
     <goal name="WP_parameter search.9" expl="9. loop variant decrease"
      sum="f0c5c56af604a78ffa7a177bd6b10c73"
      expanded="true">
      <label name="expl:VC for search"/>
      <proof prover="1">
       <result status="valid" time="0.00"/>
      </proof>
      <proof prover="2">
       <result status="valid" time="0.02"/>
      </proof>
      <proof prover="3">
       <result status="valid" time="0.02"/>
      </proof>
      <proof prover="4">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="5">
       <result status="valid" time="0.02"/>
      </proof>
      <proof prover="6">
       <result status="valid" time="0.02"/>
      </proof>
     </goal>
     <goal name="WP_parameter search.10"
      expl="10. loop invariant preservation"
      sum="ea1686d8f67e63cc91f80a9140a15561"
      expanded="true">
      <label name="expl:VC for search"/>
      <proof prover="1">
       <result status="valid" time="0.00"/>
      </proof>
      <proof prover="2">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="5">
       <result status="valid" time="0.02"/>
      </proof>
      <proof prover="6">
       <result status="valid" time="0.02"/>
      </proof>
     </goal>
     <goal name="WP_parameter search.11"
      expl="11. loop invariant preservation"
      sum="79a0f764a7967a065156284a5e8f67a3"
      expanded="true">
      <label name="expl:VC for search"/>
      <proof prover="1">
       <result status="valid" time="0.02"/>
      </proof>
      <proof prover="2">
       <result status="valid" time="0.02"/>
      </proof>
      <proof prover="5">
       <result status="valid" time="0.02"/>
      </proof>
      <proof prover="6">
       <result status="valid" time="0.02"/>
      </proof>
     </goal>
     <goal name="WP_parameter search.12" expl="12. loop variant decrease"
      sum="0a1c9e1b3f2c6528ce077b9075b1b0e6"
      expanded="true">
      <label name="expl:VC for search"/>
      <proof prover="1">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="2">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="3">
       <result status="valid" time="0.02"/>
      </proof>
      <proof prover="4">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="5">
       <result status="valid" time="0.03"/>
      </proof>
      <proof prover="6">
       <result status="valid" time="0.02"/>
      </proof>
     </goal>
     <goal name="WP_parameter search.13" expl="13. postcondition"
      sum="7a29f317b79c12123764b2483040d8c6"
      expanded="true">
      <label name="expl:VC for search"/>
      <proof prover="1">
       <result status="valid" time="0.00"/>
      </proof>
      <proof prover="2">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="3">
       <result status="valid" time="0.02"/>
      </proof>
      <proof prover="4">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="5">
       <result status="valid" time="0.02"/>
      </proof>
      <proof prover="6">
       <result status="valid" time="0.02"/>
      </proof>
     </goal>
    </transf>
   </goal>
   <goal name="WP_parameter search_rec" expl="VC for search_rec"
    sum="e363c0e86a1e6edbbb7a1ac98d5aac66"
    expanded="true">
    <label name="expl:VC for search_rec"/>
    <transf name="split_goal"
     expanded="true">
     <goal name="WP_parameter search_rec.1" expl="1. index in array bounds"
      sum="d6a8e89d360648c271bb46f913ece413"
      expanded="true">
      <label name="expl:VC for search_rec"/>
      <proof prover="1">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="2">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="3">
       <result status="valid" time="0.02"/>
      </proof>
      <proof prover="4">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="5">
       <result status="valid" time="0.02"/>
      </proof>
      <proof prover="6">
       <result status="valid" time="0.02"/>
      </proof>
     </goal>
     <goal name="WP_parameter search_rec.2" expl="2. postcondition"
      sum="e50f43748a508108e41b1d92ff76e6ea"
      expanded="true">
      <label name="expl:VC for search_rec"/>
      <proof prover="1">
       <result status="valid" time="0.00"/>
      </proof>
      <proof prover="2">
       <result status="valid" time="0.02"/>
      </proof>
      <proof prover="3">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="4">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="5">
       <result status="valid" time="0.02"/>
      </proof>
      <proof prover="6">
       <result status="valid" time="0.02"/>
      </proof>
     </goal>
     <goal name="WP_parameter search_rec.3" expl="3. index in array bounds"
      sum="762a7dd9df5cfb9a831c4da6410ef4a6"
      expanded="true">
      <label name="expl:VC for search_rec"/>
      <proof prover="1">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="2">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="3">
       <result status="valid" time="0.00"/>
      </proof>
      <proof prover="4">
       <result status="valid" time="0.00"/>
      </proof>
      <proof prover="5">
       <result status="valid" time="0.00"/>
      </proof>
      <proof prover="6">
       <result status="valid" time="0.00"/>
      </proof>
     </goal>
     <goal name="WP_parameter search_rec.4" expl="4. index in array bounds"
      sum="74993c6564242d51fd91e519d77916be"
      expanded="true">
      <label name="expl:VC for search_rec"/>
      <proof prover="1">
       <result status="valid" time="0.00"/>
      </proof>
      <proof prover="2">
       <result status="valid" time="0.00"/>
      </proof>
      <proof prover="3">
       <result status="valid" time="0.00"/>
      </proof>
      <proof prover="4">
       <result status="valid" time="0.00"/>
      </proof>
      <proof prover="5">
       <result status="valid" time="0.00"/>
      </proof>
      <proof prover="6">
       <result status="valid" time="0.00"/>
      </proof>
     </goal>
     <goal name="WP_parameter search_rec.5" expl="5. variant decrease"
      sum="7ef8b0e0f71840d485eaeb08ab4391ba">
      <label name="expl:VC for search_rec"/>
      <proof prover="1">
       <result status="valid" time="0.02"/>
      </proof>
     </goal>
     <goal name="WP_parameter search_rec.6" expl="6. precondition"
      sum="04e634126ec6b518173ff6555ba7ab18"
      expanded="true">
      <label name="expl:VC for search_rec"/>
      <proof prover="1">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="2">
       <result status="valid" time="0.00"/>
      </proof>
      <proof prover="3">
       <result status="valid" time="0.02"/>
      </proof>
      <proof prover="4">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="5">
       <result status="valid" time="0.03"/>
      </proof>
      <proof prover="6">
       <result status="valid" time="0.02"/>
      </proof>
     </goal>
     <goal name="WP_parameter search_rec.7" expl="7. postcondition"
      sum="a9af426a640e0bbdd715461798497b0a"
      expanded="true">
      <label name="expl:VC for search_rec"/>
      <proof prover="0">
       <result status="valid" time="0.04"/>
      </proof>
      <proof prover="6">
       <result status="valid" time="0.21"/>
      </proof>
     </goal>
     <goal name="WP_parameter search_rec.8" expl="8. variant decrease"
      sum="75742fba2f545033530d74b5fb9bb12b">
      <label name="expl:VC for search_rec"/>
      <proof prover="1">
       <result status="valid" time="0.03"/>
      </proof>
     </goal>
     <goal name="WP_parameter search_rec.9" expl="9. precondition"
      sum="8e446d801193faac81cc488e494442cf"
      expanded="true">
      <label name="expl:VC for search_rec"/>
      <proof prover="1">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="2">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="3">
       <result status="valid" time="0.02"/>
      </proof>
      <proof prover="4">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="5">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="6">
       <result status="valid" time="0.02"/>
      </proof>
     </goal>
     <goal name="WP_parameter search_rec.10" expl="10. postcondition"
      sum="16518c1c765f91f9360f1ab7acbc2ee7"
      expanded="true">
      <label name="expl:VC for search_rec"/>
      <proof prover="1">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="2">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="5">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="6">
       <result status="valid" time="0.02"/>
      </proof>
     </goal>
     <goal name="WP_parameter search_rec.11" expl="11. postcondition"
      sum="f813ceddaee69abd3ce0d845b8a4703f"
      expanded="true">
      <label name="expl:VC for search_rec"/>
      <proof prover="1">
       <result status="valid" time="0.02"/>
      </proof>
      <proof prover="2">
       <result status="valid" time="0.02"/>
      </proof>
      <proof prover="3">
       <result status="valid" time="0.03"/>
      </proof>
      <proof prover="4">
       <result status="valid" time="0.01"/>
      </proof>
      <proof prover="5">
       <result status="valid" time="0.02"/>
      </proof>
      <proof prover="6">
       <result status="valid" time="0.02"/>
      </proof>
     </goal>
    </transf>
   </goal>
  </theory>
 </file>
</why3session>