why3session.xml 6.64 KB
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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
  id="4"
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  name="Coq"
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  version="8.4pl3"/>
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 <prover
  id="5"
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  name="MetiTarski"
  version="2.2"/>
 <prover
  id="6"
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  name="Z3"
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  version="3.2"/>
 <prover
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  id="7"
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  name="Z3"
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  version="4.3.1"/>
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 <file
  name="../lagrange_inequality.why"
  verified="true"
  expanded="true">
  <theory
   name="LagrangeInequality"
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   locfile="../lagrange_inequality.why"
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   loclnum="3" loccnumb="7" loccnume="25"
   verified="true"
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   expanded="true">
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   <goal
    name="norm2_pos"
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    locfile="../lagrange_inequality.why"
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    loclnum="24" loccnumb="8" loccnume="17"
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    sum="f2942a313345b6f3570a65ca2efea6a0"
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    proved="true"
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    expanded="true"
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    shape="ainfix &gt;=anorm2V0V1c0.0F">
    <proof
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     prover="7"
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     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>
   </goal>
   <goal
    name="Lagrange"
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    locfile="../lagrange_inequality.why"
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    loclnum="28" loccnumb="8" loccnume="16"
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    sum="621df0eac1260a360b979069ef8f577b"
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    proved="true"
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    expanded="true"
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    shape="ainfix =ainfix *anorm2V0V1anorm2V2V3ainfix +asqradotV0V1V2V3asqrainfix -ainfix *V0V3ainfix *V1V2F">
    <proof
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     prover="7"
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     timelimit="5"
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     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.00"/>
    </proof>
   </goal>
  </theory>
  <theory
   name="CauchySchwarzInequality"
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   locfile="../lagrange_inequality.why"
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   loclnum="35" loccnumb="7" loccnume="30"
   verified="true"
   expanded="true">
   <goal
    name="CauchySchwarz_aux"
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    locfile="../lagrange_inequality.why"
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    loclnum="42" loccnumb="8" loccnume="25"
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    sum="60286fcac3b9b4b9700a8f992a019a7a"
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    proved="true"
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    expanded="true"
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    shape="ainfix &lt;=asqradotV0V1V2V3ainfix *anorm2V0V1anorm2V2V3F">
    <proof
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     prover="3"
     timelimit="5"
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     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.80"/>
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    </proof>
    <proof
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     prover="7"
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     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>
   </goal>
   <goal
    name="norm_pos"
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    locfile="../lagrange_inequality.why"
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    loclnum="50" loccnumb="8" loccnume="16"
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    sum="8d95da19d79cf7adc5069923d3af185e"
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    proved="true"
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    expanded="true"
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    shape="ainfix &gt;=anormV0V1c0.0F">
    <proof
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     prover="0"
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     timelimit="5"
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     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.01"/>
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    </proof>
    <proof
     prover="3"
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     timelimit="5"
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     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.01"/>
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    </proof>
    <proof
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     prover="7"
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     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>
   </goal>
   <goal
    name="sqr_le_sqrt"
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    locfile="../lagrange_inequality.why"
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    loclnum="54" loccnumb="8" loccnume="19"
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    sum="f7a62278abbba47b82e22b6025bcbb68"
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    proved="true"
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    expanded="true"
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    shape="ainfix &lt;=V0asqrtV1Iainfix &lt;=asqrV0V1F">
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    <proof
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     prover="4"
     timelimit="5"
     memlimit="4000"
     edited="lagrange_inequality_CauchySchwarzInequality_sqr_le_sqrt_1.v"
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     obsolete="false"
     archived="false">
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     <result status="valid" time="1.78"/>
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    </proof>
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    <proof
     prover="5"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.04"/>
    </proof>
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   </goal>
   <goal
    name="CauchySchwarz"
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    locfile="../lagrange_inequality.why"
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    loclnum="57" loccnumb="8" loccnume="21"
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    sum="f2685cf8dd64430a204c41bfe4848046"
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    proved="true"
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    expanded="true"
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    shape="ainfix &lt;=adotV0V1V2V3ainfix *anormV0V1anormV2V3F">
    <proof
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     prover="4"
     timelimit="5"
     memlimit="4000"
     edited="lagrange_inequality_CauchySchwarzInequality_CauchySchwarz_1.v"
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     obsolete="false"
     archived="false">
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     <result status="valid" time="1.50"/>
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    </proof>
   </goal>
  </theory>
  <theory
   name="TriangleInequality"
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   locfile="../lagrange_inequality.why"
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   loclnum="64" loccnumb="7" loccnume="25"
   verified="true"
   expanded="true">
   <goal
    name="triangle_aux"
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    locfile="../lagrange_inequality.why"
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    loclnum="77" loccnumb="8" loccnume="20"
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    sum="38f7f167c357b4f98d8401955497bc8e"
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    proved="true"
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    expanded="true"
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    shape="ainfix &lt;=anorm2ainfix +V0V2ainfix +V1V3asqrainfix +anormV0V1anormV2V3F">
    <proof
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     prover="6"
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     timelimit="5"
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     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.01"/>
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    </proof>
    <proof
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     prover="7"
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     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>
   </goal>
   <goal
    name="sqr_sqrt_le"
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    locfile="../lagrange_inequality.why"
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    loclnum="82" loccnumb="8" loccnume="19"
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    sum="b418617e0ea0a9340d9518e31089e1ee"
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    proved="true"
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    expanded="true"
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    shape="ainfix &lt;=asqrtV0V1Iainfix &lt;=V0asqrV1Aainfix &lt;=c0.0V0Aainfix &lt;=c0.0V1F">
    <proof
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     prover="0"
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     timelimit="5"
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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="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.01"/>
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    </proof>
    <proof
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     prover="2"
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     timelimit="3"
     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
     prover="5"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.05"/>
    </proof>
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   </goal>
   <goal
    name="triangle"
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    locfile="../lagrange_inequality.why"
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    loclnum="85" loccnumb="8" loccnume="16"
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    sum="d160993bac50590ad70307c4fb70b056"
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    proved="true"
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    expanded="true"
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    shape="ainfix &lt;=anormainfix +V0V2ainfix +V1V3ainfix +anormV0V1anormV2V3F">
    <proof
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     prover="4"
     timelimit="5"
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     memlimit="1000"
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     edited="lagrange_inequality_TriangleInequality_triangle_1.v"
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     obsolete="false"
     archived="false">
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     <result status="valid" time="1.23"/>
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    </proof>
   </goal>
  </theory>
 </file>
</why3session>