why3session.xml 7.5 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="2">
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 <prover
  id="0"
  name="Alt-Ergo"
  version="0.94"/>
 <prover
  id="1"
  name="Alt-Ergo"
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  version="0.95"/>
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 <prover
  id="2"
  name="CVC3"
  version="2.2"/>
 <prover
  id="3"
  name="CVC3"
  version="2.4.1"/>
 <prover
  id="4"
  name="Z3"
  version="2.19"/>
 <prover
  id="5"
  name="Z3"
  version="3.2"/>
 <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"
   expanded="true">
   <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="76cb925d3fd001024ee55e3bd1635962"
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    proved="true"
    expanded="true"
    shape="ainfix &gt;=anorm2V0V1c0.0F">
    <proof
     prover="4"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.01"/>
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    </proof>
    <proof
     prover="5"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.01"/>
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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="b9bf297e99f2ec1da44feae007109571"
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    proved="true"
    expanded="true"
    shape="ainfix =ainfix *anorm2V0V1anorm2V2V3ainfix +asqradotV0V1V2V3asqrainfix -ainfix *V0V3ainfix *V1V2F">
    <proof
     prover="4"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.00"/>
    </proof>
    <proof
     prover="5"
     timelimit="3"
     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="2337ac5db31c191899cfdc8330586d9c"
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    proved="true"
    expanded="true"
    shape="ainfix &lt;=asqradotV0V1V2V3ainfix *anorm2V0V1anorm2V2V3F">
    <proof
     prover="2"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.02"/>
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    </proof>
    <proof
     prover="3"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.02"/>
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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="39dc176ea930c5521e06bb6c29cdb795"
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    proved="true"
    expanded="true"
    shape="ainfix &gt;=anormV0V1c0.0F">
    <proof
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     prover="0"
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     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </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="0.00"/>
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    </proof>
    <proof
     prover="3"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.00"/>
    </proof>
    <proof
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     prover="4"
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     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
    <proof
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     prover="5"
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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>
   </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="cebf2838e8fb7b82bef34dc6a22c1910"
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    proved="true"
    expanded="true"
    shape="ainfix &lt;=V0asqrtV1Iainfix &lt;=asqrV0V1Aainfix &lt;=c0.0asqrV0Aainfix &lt;=c0.0V0F">
    <proof
     prover="0"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.03"/>
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    </proof>
    <proof
     prover="1"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.02"/>
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    </proof>
   </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="e9b79017bd7b41b0b29635e7d73a6038"
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    proved="true"
    expanded="true"
    shape="ainfix &lt;=adotV0V1V2V3ainfix *anormV0V1anormV2V3F">
    <proof
     prover="0"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.22"/>
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    </proof>
    <proof
     prover="1"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.20"/>
    </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="e79aacbc8078ad516e005d140e0024cb"
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    proved="true"
    expanded="true"
    shape="ainfix &lt;=anorm2ainfix +V0V2ainfix +V1V3asqrainfix +anormV0V1anormV2V3F">
    <proof
     prover="4"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.02"/>
    </proof>
    <proof
     prover="5"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.02"/>
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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="559b2f48f9ac0c1b30547e5b9a65e416"
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    proved="true"
    expanded="true"
    shape="ainfix &lt;=asqrtV0V1Iainfix &lt;=V0asqrV1Aainfix &lt;=c0.0V0Aainfix &lt;=c0.0V1F">
    <proof
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     prover="0"
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     timelimit="3"
     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="1"
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     timelimit="3"
     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="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>
    <proof
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     prover="3"
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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>
   </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="b211e5e4158edca67aea2660586564f6"
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    proved="true"
    expanded="true"
    shape="ainfix &lt;=anormainfix +V0V2ainfix +V1V3ainfix +anormV0V1anormV2V3F">
    <proof
     prover="0"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.10"/>
    </proof>
    <proof
     prover="1"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.08"/>
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    </proof>
   </goal>
  </theory>
 </file>
</why3session>