why3session.xml

<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE why3session SYSTEM "/home/marche/why3/share/why3session.dtd">
<why3session shape_version="2">
 <prover
  id="0"
  name="Alt-Ergo"
  version="0.94"/>
 <prover
  id="1"
  name="Alt-Ergo"
  version="0.95-dev"/>
 <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="../triangle_inequality.why"
  verified="true"
  expanded="true">
  <theory
   name="CauchySchwarzInequality"
   locfile="../triangle_inequality.why"
   loclnum="16" loccnumb="7" loccnume="30"
   verified="true"
   expanded="true">
   <goal
    name="norm2_pos"
    locfile="../triangle_inequality.why"
    loclnum="30" loccnumb="8" loccnume="17"
    sum="76cb925d3fd001024ee55e3bd1635962"
    proved="true"
    expanded="false"
    shape="ainfix &gt;=anorm2V0V1c0.0F">
    <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">
     <result status="valid" time="0.01"/>
    </proof>
   </goal>
   <goal
    name="p_expr"
    locfile="../triangle_inequality.why"
    loclnum="43" loccnumb="8" loccnume="14"
    sum="42b2c0ff1ca0582f8cf5fd1cd988d1f8"
    proved="true"
    expanded="false"
    shape="ainfix =apV0V1V2V3V4anorm2ainfix +V0ainfix *V4V2ainfix +V1ainfix *V4V3F">
    <proof
     prover="2"
     timelimit="30"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
    <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>
   <goal
    name="p_pos"
    locfile="../triangle_inequality.why"
    loclnum="47" loccnumb="8" loccnume="13"
    sum="1363c1076109399bb5a7b0bdbad42ba9"
    proved="true"
    expanded="true"
    shape="ainfix &gt;=apV0V1V2V3V4c0.0F">
    <proof
     prover="0"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
    <proof
     prover="1"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
    <proof
     prover="2"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
    <proof
     prover="3"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
   </goal>
   <goal
    name="mul_div_simpl"
    locfile="../triangle_inequality.why"
    loclnum="50" loccnumb="8" loccnume="21"
    sum="e714c31ede6847ce2b47da9a53d97eb8"
    proved="true"
    expanded="true"
    shape="ainfix =ainfix *ainfix /V0V1V1V0Iainfix =V1c0.0NF">
    <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">
     <result status="valid" time="0.02"/>
    </proof>
   </goal>
   <goal
    name="p_val_part"
    locfile="../triangle_inequality.why"
    loclnum="63" loccnumb="8" loccnume="18"
    sum="708a8affda43419fe72638239e14ff90"
    proved="true"
    expanded="true"
    shape="ainfix =apV0V1V2V3aprefix -ainfix /adotV0V1V2V3anorm2V2V3ainfix -anorm2V0V1ainfix /asqradotV0V1V2V3anorm2V2V3Iainfix &gt;anorm2V2V3c0.0F">
    <proof
     prover="0"
     timelimit="5"
     memlimit="4000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.98"/>
    </proof>
    <proof
     prover="1"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.72"/>
    </proof>
   </goal>
   <goal
    name="p_val_part_pos"
    locfile="../triangle_inequality.why"
    loclnum="69" loccnumb="8" loccnume="22"
    sum="902cc117d299a2301fdfce3240def934"
    proved="true"
    expanded="false"
    shape="ainfix &gt;=ainfix -anorm2V0V1ainfix /asqradotV0V1V2V3anorm2V2V3c0.0Iainfix &gt;anorm2V2V3c0.0F">
    <proof
     prover="0"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.05"/>
    </proof>
    <proof
     prover="1"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.06"/>
    </proof>
   </goal>
   <goal
    name="p_val_part_pos_aux"
    locfile="../triangle_inequality.why"
    loclnum="74" loccnumb="8" loccnume="26"
    sum="9bce2e4aa7069267c00b2837ee577532"
    proved="true"
    expanded="false"
    shape="ainfix &gt;=ainfix *anorm2V2V3apV0V1V2V3ainfix /aprefix -adotV0V1V2V3anorm2V2V3c0.0Iainfix &gt;anorm2V2V3c0.0F">
    <proof
     prover="0"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.02"/>
    </proof>
    <proof
     prover="1"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
   </goal>
   <goal
    name="CauchySchwarz_aux_non_null"
    locfile="../triangle_inequality.why"
    loclnum="79" loccnumb="8" loccnume="34"
    sum="3bad2dbfcdca2527d6a6f5c32c775c7a"
    proved="true"
    expanded="false"
    shape="ainfix &lt;=asqradotV0V1V2V3ainfix *anorm2V0V1anorm2V2V3Iainfix &gt;anorm2V2V3c0.0F">
    <proof
     prover="0"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="1.39"/>
    </proof>
    <proof
     prover="1"
     timelimit="30"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="1.80"/>
    </proof>
   </goal>
   <goal
    name="norm_null"
    locfile="../triangle_inequality.why"
    loclnum="84" loccnumb="8" loccnume="17"
    sum="6dc7c1095220ea980dbca0d8aa628587"
    proved="true"
    expanded="false"
    shape="ainfix =V1c0.0Oainfix =V0c0.0Iainfix =anorm2V0V1c0.0F">
    <proof
     prover="0"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
    <proof
     prover="1"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.06"/>
    </proof>
   </goal>
   <goal
    name="CauchySchwarz_aux_null"
    locfile="../triangle_inequality.why"
    loclnum="88" loccnumb="8" loccnume="30"
    sum="5b8ea3e101c1379e7ad441c17ed8d18a"
    proved="true"
    expanded="false"
    shape="ainfix &lt;=asqradotV0V1V2V3ainfix *anorm2V0V1anorm2V2V3Iainfix =anorm2V2V3c0.0F">
    <proof
     prover="0"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.06"/>
    </proof>
    <proof
     prover="1"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.06"/>
    </proof>
    <proof
     prover="2"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
    <proof
     prover="3"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
    <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">
     <result status="valid" time="0.28"/>
    </proof>
   </goal>
   <goal
    name="CauchySchwarz_aux"
    locfile="../triangle_inequality.why"
    loclnum="93" loccnumb="8" loccnume="25"
    sum="f98aebd8656d073c9b0672c270bea7ac"
    proved="true"
    expanded="false"
    shape="ainfix &lt;=asqradotV0V1V2V3ainfix *anorm2V0V1anorm2V2V3F">
    <proof
     prover="0"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
    <proof
     prover="1"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
    <proof
     prover="2"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.00"/>
    </proof>
    <proof
     prover="3"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.00"/>
    </proof>
    <proof
     prover="4"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.16"/>
    </proof>
   </goal>
   <goal
    name="norm_pos"
    locfile="../triangle_inequality.why"
    loclnum="101" loccnumb="8" loccnume="16"
    sum="5ac098a76c92a77b81414fda62d58628"
    proved="true"
    expanded="false"
    shape="ainfix &gt;=anormV0V1c0.0F">
    <proof
     prover="0"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
    <proof
     prover="1"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.02"/>
    </proof>
    <proof
     prover="2"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
    <proof
     prover="3"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.00"/>
    </proof>
    <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">
     <result status="valid" time="0.02"/>
    </proof>
   </goal>
   <goal
    name="sqr_le_sqrt"
    locfile="../triangle_inequality.why"
    loclnum="105" loccnumb="8" loccnume="19"
    sum="c115b360b8b52f71b86301cc73f27275"
    proved="true"
    expanded="false"
    shape="ainfix &lt;=V0asqrtV1Iainfix &lt;=asqrV0V1Aainfix &lt;=c0.0asqrV0Aainfix &lt;=c0.0V0F">
    <proof
     prover="0"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.03"/>
    </proof>
    <proof
     prover="1"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.03"/>
    </proof>
   </goal>
   <goal
    name="CauchySchwarz"
    locfile="../triangle_inequality.why"
    loclnum="109" loccnumb="8" loccnume="21"
    sum="0e271f0352943fccc6eff4dbe26df0ac"
    proved="true"
    expanded="false"
    shape="ainfix &lt;=adotV0V1V2V3ainfix *anormV0V1anormV2V3F">
    <proof
     prover="0"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.20"/>
    </proof>
    <proof
     prover="1"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.19"/>
    </proof>
   </goal>
  </theory>
  <theory
   name="TriangleInequality"
   locfile="../triangle_inequality.why"
   loclnum="116" loccnumb="7" loccnume="25"
   verified="true"
   expanded="true">
   <goal
    name="triangle_aux"
    locfile="../triangle_inequality.why"
    loclnum="128" loccnumb="8" loccnume="20"
    sum="42170f0ebaf7243bb1407f07705781ed"
    proved="true"
    expanded="false"
    shape="ainfix &lt;=anorm2ainfix +V0V2ainfix +V1V3asqrainfix +anormV0V1anormV2V3F">
    <proof
     prover="4"
     timelimit="30"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
   </goal>
   <goal
    name="sqr_sqrt_le"
    locfile="../triangle_inequality.why"
    loclnum="133" loccnumb="8" loccnume="19"
    sum="7e3031e53ff2f0f33205257de5642a86"
    proved="true"
    expanded="false"
    shape="ainfix &lt;=asqrtV0V1Iainfix &lt;=V0asqrV1Aainfix &lt;=c0.0V0Aainfix &lt;=c0.0V1F">
    <proof
     prover="0"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.03"/>
    </proof>
    <proof
     prover="1"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.02"/>
    </proof>
    <proof
     prover="2"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
    <proof
     prover="3"
     timelimit="3"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
   </goal>
   <goal
    name="triangle"
    locfile="../triangle_inequality.why"
    loclnum="136" loccnumb="8" loccnume="16"
    sum="e59da4de6697d01b11dc130a93604b8e"
    proved="true"
    expanded="false"
    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">
     <result status="valid" time="0.09"/>
    </proof>
   </goal>
  </theory>
 </file>
</why3session>