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<?xml version="1.0" encoding="UTF-8"?>
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<!DOCTYPE why3session PUBLIC "-//Why3//proof session v2//EN" "http://why3.lri.fr/why3session.dtd">
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<why3session shape_version="4">
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 <prover
  id="0"
  name="Alt-Ergo"
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  version="0.95.1"/>
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 <prover
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  id="1"
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  name="CVC3"
  version="2.2"/>
 <prover
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  id="2"
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  name="CVC3"
  version="2.4.1"/>
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 <prover
  id="3"
  name="CVC4"
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  version="1.2"/>
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 <prover
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  id="4"
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  name="Coq"
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  version="8.4pl3"/>
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 <prover
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  id="5"
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  name="Gappa"
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  version="1.1.1"/>
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 <prover
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  id="6"
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  name="Z3"
  version="2.19"/>
 <prover
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  id="7"
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  name="Z3"
  version="3.2"/>
 <file
  name="../double_of_int.why"
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  verified="true"
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  expanded="true">
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  <theory
   name="DoubleOfInt"
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   locfile="../double_of_int.why"
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   loclnum="3" loccnumb="7" loccnume="18"
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   verified="true"
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   expanded="true">
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   <goal
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    name="nth_j1"
    locfile="../double_of_int.why"
    loclnum="24" loccnumb="8" loccnume="14"
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    sum="3ed5d9328cb35487d78626d08e1ef4ad"
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    proved="true"
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    expanded="true"
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    shape="ainfix =anthajV0aFalseIainfix &lt;=V0c19Aainfix &lt;=c0V0F">
    <proof
     prover="0"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.43"/>
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    </proof>
   </goal>
   <goal
    name="nth_j2"
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    locfile="../double_of_int.why"
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    loclnum="25" loccnumb="8" loccnume="14"
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    sum="63cb90f150d31d647b2707fdb2bcdb40"
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    proved="true"
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    expanded="true"
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    shape="ainfix =anthajV0aTrueIainfix &lt;=V0c21Aainfix &lt;=c20V0F">
    <proof
     prover="0"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.26"/>
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    </proof>
   </goal>
   <goal
    name="nth_j3"
    locfile="../double_of_int.why"
    loclnum="26" loccnumb="8" loccnume="14"
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    sum="5024b8d69974dab9dbd7e917e3390141"
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    proved="true"
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    expanded="true"
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    shape="ainfix =anthajV0aFalseIainfix &lt;=V0c23Aainfix &lt;=c22V0F">
    <proof
     prover="0"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.42"/>
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    </proof>
   </goal>
   <goal
    name="nth_j4"
    locfile="../double_of_int.why"
    loclnum="27" loccnumb="8" loccnume="14"
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    sum="df1bdab7b9ae1ce7eda463dd48cb84bb"
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    proved="true"
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    expanded="true"
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    shape="ainfix =anthajV0aTrueIainfix &lt;=V0c25Aainfix &lt;=c24V0F">
    <proof
     prover="0"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.26"/>
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    </proof>
   </goal>
   <goal
    name="nth_j5"
    locfile="../double_of_int.why"
    loclnum="28" loccnumb="8" loccnume="14"
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    sum="33b66e18ce0846baef1358e8cd01d999"
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    proved="true"
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    expanded="true"
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    shape="ainfix =anthajV0aFalseIainfix &lt;=V0c29Aainfix &lt;=c26V0F">
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    <proof
     prover="0"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.41"/>
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    </proof>
   </goal>
   <goal
    name="nth_j6"
    locfile="../double_of_int.why"
    loclnum="29" loccnumb="8" loccnume="14"
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    sum="cfb5ec7e743b9beb99e154d36d621b08"
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    proved="true"
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    expanded="true"
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    shape="ainfix =anthajc30aTrue">
    <proof
     prover="0"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.11"/>
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    </proof>
   </goal>
   <goal
    name="nth_j7"
    locfile="../double_of_int.why"
    loclnum="30" loccnumb="8" loccnume="14"
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    sum="c6f08cc8d27b821261ff6c8112b5a439"
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    proved="true"
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    expanded="true"
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    shape="ainfix =anthajc31aFalse">
    <proof
     prover="0"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.27"/>
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    </proof>
   </goal>
   <goal
    name="jp0_30"
    locfile="../double_of_int.why"
    loclnum="33" loccnumb="8" loccnume="14"
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    sum="1ec03fa6ae6facb89cc34143be424e02"
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    proved="true"
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    expanded="true"
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    shape="ainfix =anthaj&apos;V0aFalseIainfix &lt;V0c30Aainfix &lt;=c0V0F">
    <proof
     prover="0"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.54"/>
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    </proof>
   </goal>
   <goal
    name="nth_const1"
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    locfile="../double_of_int.why"
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    loclnum="49" loccnumb="8" loccnume="18"
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    sum="12da1e7437d4ce00b5b9e90323766d86"
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    proved="true"
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    expanded="true"
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    shape="ainfix =anthaconstV0aFalseIainfix &lt;=V0c30Aainfix &lt;=c0V0F">
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    <proof
     prover="0"
     timelimit="60"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="10.32"/>
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    </proof>
   </goal>
   <goal
    name="nth_const2"
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    locfile="../double_of_int.why"
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    loclnum="50" loccnumb="8" loccnume="18"
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    sum="f149434e09df260c1c7c69c4ba47d2e4"
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    proved="true"
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    expanded="true"
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    shape="ainfix =anthaconstc31aTrue">
    <proof
     prover="0"
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     timelimit="60"
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     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="3.34"/>
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    </proof>
   </goal>
   <goal
    name="nth_const3"
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    locfile="../double_of_int.why"
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    loclnum="51" loccnumb="8" loccnume="18"
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    sum="d8222c20e962f62bb1670d63c1819c76"
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    proved="true"
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    expanded="true"
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    shape="ainfix =anthaconstV0aFalseIainfix &lt;=V0c51Aainfix &lt;=c32V0F">
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    <proof
     prover="0"
     timelimit="60"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.08"/>
    </proof>
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    <proof
     prover="3"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.06"/>
    </proof>
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   </goal>
   <goal
    name="nth_const4"
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    locfile="../double_of_int.why"
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    loclnum="52" loccnumb="8" loccnume="18"
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    sum="4b5a8ca53667fd96f010877c3417ba66"
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    proved="true"
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    expanded="true"
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    shape="ainfix =anthaconstV0aTrueIainfix &lt;=V0c53Aainfix &lt;=c52V0F">
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    <proof
     prover="0"
     timelimit="60"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.07"/>
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    </proof>
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    <proof
     prover="3"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.06"/>
    </proof>
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   </goal>
   <goal
    name="nth_const5"
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    locfile="../double_of_int.why"
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    loclnum="53" loccnumb="8" loccnume="18"
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    sum="fd3980e68f6e969723d1df85dafdabc9"
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    proved="true"
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    expanded="true"
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    shape="ainfix =anthaconstV0aFalseIainfix &lt;=V0c55Aainfix &lt;=c54V0F">
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    <proof
     prover="0"
     timelimit="60"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.07"/>
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    </proof>
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    <proof
     prover="3"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.06"/>
    </proof>
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   </goal>
   <goal
    name="nth_const6"
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    locfile="../double_of_int.why"
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    loclnum="54" loccnumb="8" loccnume="18"
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    sum="9bd66ea46637c22ff021a07b00cb0bd3"
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    proved="true"
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    expanded="true"
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    shape="ainfix =anthaconstV0aTrueIainfix &lt;=V0c57Aainfix &lt;=c56V0F">
    <proof
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     prover="0"
     timelimit="60"
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     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.10"/>
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    </proof>
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    <proof
     prover="3"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.06"/>
    </proof>
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   </goal>
   <goal
    name="nth_const7"
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    locfile="../double_of_int.why"
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    loclnum="55" loccnumb="8" loccnume="18"
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    sum="a450325cf712e10ef0094fb70a77cf76"
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    proved="true"
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    expanded="true"
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    shape="ainfix =anthaconstV0aFalseIainfix &lt;=V0c61Aainfix &lt;=c58V0F">
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    <proof
     prover="0"
     timelimit="60"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.06"/>
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    </proof>
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    <proof
     prover="3"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.06"/>
    </proof>
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   </goal>
   <goal
    name="nth_const8"
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    locfile="../double_of_int.why"
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    loclnum="56" loccnumb="8" loccnume="18"
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    sum="0a40d8eed8d897a562f3b0c5f1a492a3"
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    proved="true"
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    expanded="true"
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    shape="ainfix =anthaconstc62aTrue">
    <proof
     prover="0"
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     timelimit="60"
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     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.04"/>
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    </proof>
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    <proof
     prover="3"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.05"/>
    </proof>
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   </goal>
   <goal
    name="nth_const9"
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    locfile="../double_of_int.why"
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    loclnum="57" loccnumb="8" loccnume="18"
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    sum="cc66ed9e05ada34786eb7a60fa404c9e"
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    proved="true"
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    expanded="true"
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    shape="ainfix =anthaconstc63aFalse">
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    <proof
     prover="0"
     timelimit="60"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.04"/>
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    </proof>
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    <proof
     prover="3"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.05"/>
    </proof>
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   </goal>
   <goal
    name="sign_const"
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    locfile="../double_of_int.why"
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    loclnum="59" loccnumb="8" loccnume="18"
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    sum="1e584063a02487a763986d921a3d1f64"
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    proved="true"
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    expanded="true"
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    shape="ainfix =asignaconstaFalse">
    <proof
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     prover="0"
     timelimit="3"
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     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.02"/>
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    </proof>
    <proof
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     prover="1"
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     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.04"/>
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    </proof>
    <proof
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     prover="2"
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     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.04"/>
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    </proof>
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    <proof
     prover="3"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.02"/>
    </proof>
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    <proof
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     prover="5"
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     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.00"/>
    </proof>
    <proof
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     prover="6"
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     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.01"/>
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    </proof>
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    <proof
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     prover="7"
     timelimit="5"
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     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.00"/>
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    </proof>
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   </goal>
   <goal
    name="exp_const"
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    locfile="../double_of_int.why"
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    loclnum="61" loccnumb="8" loccnume="17"
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    sum="6dfaf251bab1d77f447d2fecdea63261"
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    proved="true"
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    expanded="true"
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    shape="ainfix =aexpaconstc1075">
    <proof
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     prover="4"
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     timelimit="30"
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     memlimit="1000"
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     edited="double_of_int_DoubleOfInt_exp_const_1.v"
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     obsolete="false"
     archived="false">
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     <result status="valid" time="1.75"/>
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    </proof>
   </goal>
   <goal
    name="to_nat_mantissa_1"
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    locfile="../double_of_int.why"
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    loclnum="63" loccnumb="8" loccnume="25"
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    sum="541e5c737d36819be3494a53ee58b902"
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    proved="true"
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    expanded="true"
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    shape="ainfix =ato_nat_subaconstc30c0c0">
    <proof
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     prover="0"
     timelimit="3"
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     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.05"/>
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    </proof>
    <proof
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     prover="3"
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     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.07"/>
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    </proof>
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    <proof
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     prover="6"
     timelimit="5"
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     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.73"/>
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    </proof>
    <proof
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     prover="7"
     timelimit="10"
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     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="3.21"/>
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    </proof>
   </goal>
   <goal
    name="mantissa_const_nth2"
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    locfile="../double_of_int.why"
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    loclnum="65" loccnumb="8" loccnume="27"
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    sum="980e27b105851aafed6ac4888687f8b2"
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    proved="true"
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    expanded="true"
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    shape="ainfix =anthaconstV0aFalseIainfix &lt;=V0c51Aainfix &lt;=c32V0F">
    <proof
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     prover="0"
     timelimit="3"
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     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.03"/>
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    </proof>
    <proof
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     prover="3"
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     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.06"/>
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    </proof>
    <proof
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     prover="6"
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     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.01"/>
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    </proof>
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    <proof
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     prover="7"
     timelimit="5"
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     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.00"/>
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    </proof>
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   </goal>
   <goal
    name="mantissa_const_to_nat51"
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    locfile="../double_of_int.why"
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    loclnum="68" loccnumb="8" loccnume="31"
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    sum="c4875314304e524c252b50afa3138b6a"
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    proved="true"
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    expanded="true"
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    shape="ainfix =ato_nat_subaconstc51c0ato_nat_subaconstc31c0">
    <proof
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     prover="0"
     timelimit="3"
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     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.27"/>
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    </proof>
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    <proof
     prover="3"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.09"/>
    </proof>
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    <proof
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     prover="6"
     timelimit="5"
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     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="1.01"/>
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    </proof>
    <proof
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     prover="7"
     timelimit="11"
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     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="3.48"/>
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    </proof>
   </goal>
   <goal
    name="mantissa_const"
599
    locfile="../double_of_int.why"
600
    loclnum="71" loccnumb="8" loccnume="22"
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Andrei Paskevich committed
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    sum="30957514e63db9cbdc017ca439e22ace"
602
    proved="true"
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    expanded="true"
604 605
    shape="ainfix =amantissaaconstapow2c31">
    <proof
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     prover="0"
     timelimit="3"
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     memlimit="1000"
     obsolete="false"
     archived="false">
611
     <result status="valid" time="0.53"/>
612 613
    </proof>
    <proof
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     prover="3"
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     timelimit="5"
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     memlimit="1000"
     obsolete="false"
     archived="false">
619
     <result status="valid" time="0.09"/>
620 621 622 623
    </proof>
   </goal>
   <goal
    name="real1075m1023"
624
    locfile="../double_of_int.why"
625
    loclnum="73" loccnumb="8" loccnume="21"
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Andrei Paskevich committed
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    sum="af2a188b1ac289c9ca8961e42bde519b"
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    proved="true"
628
    expanded="true"
629 630
    shape="ainfix =afrom_intainfix -c1075c1023c52.0">
    <proof
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     prover="5"
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     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.00"/>
637 638
    </proof>
    <proof
639
     prover="6"
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     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.00"/>
    </proof>
    <proof
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MARCHE Claude committed
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     prover="7"
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     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.00"/>
    </proof>
   </goal>
   <goal
    name="real1075m1023_2"
657
    locfile="../double_of_int.why"
658
    loclnum="75" loccnumb="8" loccnume="23"
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Andrei Paskevich committed
659
    sum="ce25d654e442f9866dcd3afe72fc91e1"
660
    proved="true"
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    expanded="true"
662 663
    shape="ainfix =ainfix -.c1075.0c1023.0c52.0">
    <proof
664 665
     prover="0"
     timelimit="3"
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     memlimit="1000"
     obsolete="false"
     archived="false">
669
     <result status="valid" time="0.03"/>
670 671
    </proof>
    <proof
672
     prover="3"
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     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
677
     <result status="valid" time="0.02"/>
678 679
    </proof>
    <proof
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MARCHE Claude committed
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     prover="5"
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     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.00"/>
    </proof>
    <proof
688
     prover="6"
689 690 691 692 693 694
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.00"/>
    </proof>
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MARCHE Claude committed
695
    <proof
696 697
     prover="7"
     timelimit="5"
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MARCHE Claude committed
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     memlimit="1000"
     obsolete="false"
     archived="false">
701
     <result status="valid" time="0.00"/>
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MARCHE Claude committed
702
    </proof>
703 704 705
   </goal>
   <goal
    name="real52_a_m52"
706
    locfile="../double_of_int.why"
707
    loclnum="77" loccnumb="8" loccnume="20"
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Andrei Paskevich committed
708
    sum="e4e925caebc610e64a22dbe42f359926"
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MARCHE Claude committed
709
    proved="true"
710
    expanded="true"
711 712 713
    shape="ainfix =ainfix *.ainfix *.apow2ainfix -c1075c1023apow2c31apow2aprefix -c52apow2c31">
    <proof
     prover="0"
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MARCHE Claude committed
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     timelimit="60"
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     memlimit="1000"
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     obsolete="false"
717
     archived="false">
718
     <result status="valid" time="0.08"/>
719 720 721 722
    </proof>
   </goal>
   <goal
    name="const_value0"
723
    locfile="../double_of_int.why"
724
    loclnum="79" loccnumb="8" loccnume="20"
Andrei Paskevich's avatar
Andrei Paskevich committed
725
    sum="345a995f4fa99ec8fad394d8ef7f6c14"
726
    proved="true"
727
    expanded="true"
728 729
    shape="ainfix =aconst_as_doubleainfix *.ainfix *.c1.0apow2ainfix -c1075c1023ainfix +.c1.0ainfix *.apow2c31apow2aprefix -c52">
    <proof
730 731
     prover="0"
     timelimit="3"
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     memlimit="1000"
     obsolete="false"
     archived="false">
735
     <result status="valid" time="0.55"/>
736 737
    </proof>
    <proof
738
     prover="1"
739 740 741 742
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
743
     <result status="valid" time="0.08"/>
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MARCHE Claude committed
744 745
    </proof>
    <proof
746
     prover="2"
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     timelimit="5"
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MARCHE Claude committed
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     memlimit="1000"
     obsolete="false"
     archived="false">
751
     <result status="valid" time="0.40"/>
752 753 754 755
    </proof>
   </goal>
   <goal
    name="const_value"
756
    locfile="../double_of_int.why"
757
    loclnum="82" loccnumb="8" loccnume="19"
Andrei Paskevich's avatar
Andrei Paskevich committed
758
    sum="96e6152a6b12004694ceac208b242855"
759
    proved="true"
760
    expanded="true"
761 762
    shape="ainfix =aconst_as_doubleainfix +.apow2c52apow2c31">
    <proof
763 764
     prover="0"
     timelimit="3"
765 766 767
     memlimit="1000"
     obsolete="false"
     archived="false">
768
     <result status="valid" time="0.03"/>
769 770
    </proof>
    <proof
771
     prover="1"
772 773 774 775
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
776
     <result status="valid" time="0.05"/>
777 778
    </proof>
    <proof
779
     prover="2"
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MARCHE Claude committed
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     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
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MARCHE Claude committed
784
     <result status="valid" time="0.05"/>
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MARCHE Claude committed
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    </proof>
786 787 788 789 790 791 792 793
    <proof
     prover="3"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.04"/>
    </proof>
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MARCHE Claude committed
794
    <proof
795 796
     prover="6"
     timelimit="5"
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MARCHE Claude committed
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     memlimit="1000"
     obsolete="false"
     archived="false">
800
     <result status="valid" time="0.13"/>
MARCHE Claude's avatar
MARCHE Claude committed
801 802
    </proof>
    <proof
803 804
     prover="7"
     timelimit="10"
805 806 807
     memlimit="1000"
     obsolete="false"
     archived="false">
808
     <result status="valid" time="3.13"/>
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    </proof>
   </goal>
   <goal
    name="nth_0_30"
813
    locfile="../double_of_int.why"
814
    loclnum="108" loccnumb="8" loccnume="16"
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Andrei Paskevich committed
815
    sum="30e4c93f03024611207e1194a0c146f4"
816
    proved="true"
817
    expanded="true"
818 819
    shape="ainfix =anthabw_xoraj&apos;afrom_int2cV0V1anthafrom_int2cV0V1Iainfix &lt;=V1c30Aainfix &lt;=c0V1Aais_int32V0FF">
    <proof
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     prover="1"
821 822 823 824
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
825
     <result status="valid" time="0.18"/>
826 827
    </proof>
    <proof
828
     prover="2"
829
     timelimit="5"
830 831 832
     memlimit="1000"
     obsolete="false"
     archived="false">
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MARCHE Claude committed
833
     <result status="valid" time="0.53"/>
834 835 836 837
    </proof>
   </goal>
   <goal
    name="nth_jpxor_0_30"
838
    locfile="../double_of_int.why"
839
    loclnum="110" loccnumb="8" loccnume="22"
Andrei Paskevich's avatar
Andrei Paskevich committed
840
    sum="ba9c1d9a2c365320ac51adb0994f804f"
841
    proved="true"
842
    expanded="true"
843 844
    shape="ainfix =anthajpxorV0V1anthafrom_int2cV0V1Iainfix &lt;=V1c30Aainfix &lt;=c0V1Aais_int32V0FF">
    <proof
845 846
     prover="0"
     timelimit="3"
847 848 849
     memlimit="1000"
     obsolete="false"
     archived="false">
850
     <result status="valid" time="0.09"/>
851 852
    </proof>
    <proof
853
     prover="1"