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<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
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<why3session shape_version="6">
<prover id="0" name="Coq" version="8.11.2" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="1" name="Alt-Ergo" version="2.2.0" timelimit="3" steplimit="0" memlimit="0"/>
<prover id="2" name="CVC3" version="2.4.1" timelimit="5" steplimit="0" memlimit="0"/>
<prover id="3" name="Z3" version="4.8.10" timelimit="3" steplimit="0" memlimit="0"/>
<prover id="7" name="Yices" version="1.0.38" timelimit="10" steplimit="0" memlimit="0"/>
<prover id="8" name="Z3" version="3.2" timelimit="3" steplimit="0" memlimit="0"/>
<prover id="9" name="Gappa" version="1.3.0" timelimit="5" steplimit="0" memlimit="0"/>
<file format="whyml" proved="true">
<path name=".."/><path name="real.why"/>
<theory name="Test" proved="true">
 <goal name="G1" proved="true">
 <proof prover="1"><result status="valid" time="0.010000" steps="0"/></proof>
 <proof prover="2"><result status="valid" time="0.000000"/></proof>
 <proof prover="3"><result status="valid" time="0.000000" steps="18"/></proof>
 <proof prover="7"><result status="valid" time="0.010000"/></proof>
 <proof prover="8"><result status="valid" time="0.000000"/></proof>
 <proof prover="9"><result status="valid" time="0.000000"/></proof>
 </goal>
 <goal name="G2" proved="true">
 <proof prover="1"><result status="valid" time="0.010000" steps="0"/></proof>
 <proof prover="2"><result status="valid" time="0.000000"/></proof>
 <proof prover="3"><result status="valid" time="0.000000" steps="14"/></proof>
 <proof prover="8"><result status="valid" time="0.000000"/></proof>
 <proof prover="9"><result status="valid" time="0.000000"/></proof>
 </goal>
 <goal name="G3" proved="true">
 <proof prover="1"><result status="valid" time="0.000000" steps="0"/></proof>
 <proof prover="2"><result status="valid" time="0.000000"/></proof>
 <proof prover="3"><result status="valid" time="0.000000" steps="14"/></proof>
 <proof prover="8"><result status="valid" time="0.000000"/></proof>
 </goal>
</theory>
<theory name="TestInfix" proved="true">
 <goal name="Add" proved="true">
 <proof prover="1"><result status="valid" time="0.000000" steps="0"/></proof>
 <proof prover="2"><result status="valid" time="0.000000"/></proof>
 <proof prover="3"><result status="valid" time="0.000000" steps="22"/></proof>
 <proof prover="8"><result status="valid" time="0.000000"/></proof>
 <proof prover="9"><result status="valid" time="0.000000"/></proof>
 </goal>
 <goal name="Sub" proved="true">
 <proof prover="1"><result status="valid" time="0.000000" steps="0"/></proof>
 <proof prover="2"><result status="valid" time="0.000000"/></proof>
 <proof prover="3"><result status="valid" time="0.000000" steps="22"/></proof>
 <proof prover="8"><result status="valid" time="0.000000"/></proof>
 <proof prover="9"><result status="valid" time="0.000000"/></proof>
 </goal>
 <goal name="Neg" proved="true">
 <proof prover="1"><result status="valid" time="0.010000" steps="0"/></proof>
 <proof prover="2"><result status="valid" time="0.000000"/></proof>
 <proof prover="3"><result status="valid" time="0.000000" steps="30"/></proof>
 <proof prover="8"><result status="valid" time="0.000000"/></proof>
 <proof prover="9"><result status="valid" time="0.000000"/></proof>
 </goal>
 <goal name="Mul" proved="true">
 <proof prover="1"><result status="valid" time="0.010000" steps="0"/></proof>
 <proof prover="2"><result status="valid" time="0.000000"/></proof>
 <proof prover="3"><result status="valid" time="0.000000" steps="18"/></proof>
 <proof prover="8"><result status="valid" time="0.000000"/></proof>
 <proof prover="9"><result status="valid" time="0.000000"/></proof>
 </goal>
 <goal name="Div" proved="true">
 <proof prover="1"><result status="valid" time="0.000000" steps="0"/></proof>
 <proof prover="2"><result status="valid" time="0.000000"/></proof>
 <proof prover="3"><result status="valid" time="0.000000" steps="14"/></proof>
 <proof prover="8"><result status="valid" time="0.000000"/></proof>
 <proof prover="9"><result status="valid" time="0.000000"/></proof>
 </goal>
 <goal name="Inv" proved="true">
 <proof prover="1"><result status="valid" time="0.010000" steps="0"/></proof>
 <proof prover="2"><result status="valid" time="0.000000"/></proof>
 <proof prover="3"><result status="valid" time="0.000000" steps="14"/></proof>
 <proof prover="8"><result status="valid" time="0.000000"/></proof>
 </goal>
</theory>
<theory name="SquareTest" proved="true">
 <goal name="Sqrt_zero" proved="true">
 <proof prover="1"><result status="valid" time="0.010000" steps="7"/></proof>
 <proof prover="2"><result status="valid" time="0.010000"/></proof>
 <proof prover="8" timelimit="60" memlimit="1000"><result status="valid" time="0.020000"/></proof>
 <proof prover="9"><result status="valid" time="0.000000"/></proof>
 </goal>
 <goal name="Sqrt_one" proved="true">
 <proof prover="1"><result status="valid" time="0.010000" steps="16"/></proof>
 <proof prover="2"><result status="valid" time="0.000000"/></proof>
 <proof prover="8"><result status="valid" time="0.010000"/></proof>
 <proof prover="9"><result status="valid" time="0.000000"/></proof>
 </goal>
 <goal name="Sqrt_four" proved="true">
 <proof prover="1" timelimit="5" memlimit="1000"><result status="valid" time="0.000000" steps="27"/></proof>
 <proof prover="2"><result status="valid" time="0.000000"/></proof>
 <proof prover="8" timelimit="67" memlimit="1000"><result status="valid" time="25.238518"/></proof>
 <proof prover="9"><result status="valid" time="0.000000"/></proof>
 </goal>
</theory>
<theory name="ExpLogTest" proved="true">
 <goal name="Log_e" proved="true">
 <proof prover="1"><result status="valid" time="0.010000" steps="6"/></proof>
 <proof prover="2"><result status="valid" time="0.000000"/></proof>
 <proof prover="3"><result status="valid" time="0.010000" steps="2479"/></proof>
 <proof prover="8"><result status="valid" time="0.010000"/></proof>
 </goal>
</theory>
<theory name="PowerIntTest" proved="true">
 <goal name="Pow_2_2" proved="true">
 <proof prover="1" timelimit="60" memlimit="1000"><result status="valid" time="0.020000" steps="12"/></proof>
 <proof prover="2"><result status="valid" time="0.000000"/></proof>
 <proof prover="3"><result status="valid" time="0.010000" steps="32057"/></proof>
 <proof prover="8"><result status="valid" time="0.010000"/></proof>
 </goal>
</theory>
<theory name="PowerRealTest" proved="true">
 <goal name="Pow_2_2" proved="true">
 <proof prover="1"><result status="valid" time="0.010000" steps="24"/></proof>
 <proof prover="3"><result status="valid" time="0.010000" steps="10800"/></proof>
 <proof prover="8"><result status="valid" time="0.010000"/></proof>
 </goal>
</theory>
<theory name="TrigonometryTest" proved="true">
 <goal name="Cos_2_pi" proved="true">
 <proof prover="1"><result status="valid" time="0.120000" steps="114"/></proof>
 <proof prover="2"><result status="valid" time="0.000000"/></proof>
 <proof prover="3"><result status="valid" time="0.110000" steps="83487"/></proof>
 <proof prover="8"><result status="valid" time="0.090000"/></proof>
 </goal>
 <goal name="Sin_2_pi" proved="true">
 <proof prover="1" timelimit="60" memlimit="1000"><result status="valid" time="0.100000" steps="52"/></proof>
 <proof prover="2"><result status="valid" time="0.010000"/></proof>
 <proof prover="3"><result status="valid" time="0.170000" steps="117229"/></proof>
 <proof prover="8"><result status="valid" time="0.120000"/></proof>
 </goal>
 <goal name="Tan_pi_4" proved="true">
 <proof prover="0"><path name="real_TrigonometryTest_Tan_pi_4_1.v"/><result status="valid" time="0.370000"/></proof>
 </goal>
 <goal name="Tan_pi_3" proved="true">
 <proof prover="0"><path name="real_TrigonometryTest_Tan_pi_3_1.v"/><result status="valid" time="0.260000"/></proof>
 </goal>
 <goal name="Atan_1" proved="true">
 <proof prover="0"><path name="real_TrigonometryTest_Atan_1_1.v"/><result status="valid" time="0.420000"/></proof>
 </goal>
</theory>
</file>
</why3session>
