mirror of
https://github.com/AdaCore/why3.git
synced 2026-02-12 12:34:55 -08:00
1275 lines
68 KiB
XML
1275 lines
68 KiB
XML
<?xml version="1.0" encoding="UTF-8"?>
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<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
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"https://www.why3.org/why3session.dtd">
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<why3session shape_version="6">
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<prover id="0" name="CVC4" version="1.7" timelimit="5" steplimit="0" memlimit="1000"/>
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<prover id="1" name="CVC4" version="1.8" timelimit="5" steplimit="0" memlimit="1000"/>
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<prover id="2" name="CVC5" version="1.0.5" timelimit="5" steplimit="0" memlimit="1000"/>
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<prover id="3" name="Z3" version="4.12.2" timelimit="5" steplimit="0" memlimit="1000"/>
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<prover id="4" name="Alt-Ergo" version="2.5.4" alternative="FPA" timelimit="5" steplimit="0" memlimit="2000"/>
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<prover id="5" name="CVC5" version="1.2.0" timelimit="5" steplimit="0" memlimit="1000"/>
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<prover id="6" name="Z3" version="4.13.2" timelimit="5" steplimit="0" memlimit="1000"/>
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<prover id="7" name="Alt-Ergo" version="2.6.0" timelimit="5" steplimit="0" memlimit="1000"/>
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<prover id="8" name="Alt-Ergo" version="2.6.2" timelimit="5" steplimit="0" memlimit="1000"/>
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<file format="whyml">
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<path name=".."/><path name=".."/><path name=".."/><path name="stdlib"/>
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<path name="ufloat.mlw"/>
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<theory name="UFloat">
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<goal name="uadd'vc" expl="VC for uadd">
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</goal>
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<goal name="uadd_zero'vc" expl="VC for uadd_zero">
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</goal>
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<goal name="usub'vc" expl="VC for usub">
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</goal>
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<goal name="umul'vc" expl="VC for umul">
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</goal>
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<goal name="udiv'vc" expl="VC for udiv">
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</goal>
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<goal name="uminus'vc" expl="VC for uminus">
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</goal>
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<goal name="udiv_exact'vc" expl="VC for udiv_exact">
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</goal>
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<goal name="infix ++.'vc" expl="VC for infix ++." proved="true">
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<proof prover="1"><result status="valid" time="0.024358" steps="851"/></proof>
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</goal>
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<goal name="infix --.'vc" expl="VC for infix --." proved="true">
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<proof prover="7"><result status="valid" time="0.010908" steps="14"/></proof>
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</goal>
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<goal name="infix **.'vc" expl="VC for infix **." proved="true">
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<proof prover="1"><result status="valid" time="0.030047" steps="1040"/></proof>
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</goal>
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<goal name="infix //.'vc" expl="VC for infix //." proved="true">
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<proof prover="1"><result status="valid" time="0.028845" steps="1288"/></proof>
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</goal>
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<goal name="prefix --.'vc" expl="VC for prefix --." proved="true">
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<proof prover="1"><result status="valid" time="0.025762" steps="915"/></proof>
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</goal>
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<goal name="infix ///.'vc" expl="VC for infix ///." proved="true">
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<proof prover="1"><result status="valid" time="0.024867" steps="1766"/></proof>
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</goal>
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</theory>
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<theory name="HelperLemmas">
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<goal name="mul_order_compat'vc" expl="VC for mul_order_compat" proved="true">
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<proof prover="5"><result status="valid" time="0.052291" steps="9187"/></proof>
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</goal>
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<goal name="div_order_compat'vc" expl="VC for div_order_compat" proved="true">
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<proof prover="2" memlimit="2000"><result status="valid" time="0.056952" steps="11620"/></proof>
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</goal>
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<goal name="div_order_compat2'vc" expl="VC for div_order_compat2" proved="true">
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<proof prover="1"><result status="valid" time="0.025204" steps="4783"/></proof>
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</goal>
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<goal name="div_abs'vc" expl="VC for div_abs" proved="true">
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<proof prover="5"><result status="valid" time="0.051467" steps="7850"/></proof>
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</goal>
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<goal name="mult_err'vc" expl="VC for mult_err" proved="true">
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<transf name="split_vc" proved="true" >
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<goal name="mult_err'vc.0" expl="assertion" proved="true">
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<proof prover="3" memlimit="2000"><result status="valid" time="0.025179" steps="4845"/></proof>
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</goal>
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<goal name="mult_err'vc.1" expl="assertion" proved="true">
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<proof prover="3" memlimit="2000"><result status="valid" time="0.022272" steps="3824"/></proof>
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</goal>
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<goal name="mult_err'vc.2" expl="postcondition" proved="true">
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<proof prover="4"><result status="valid" time="0.060416" steps="437"/></proof>
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</goal>
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</transf>
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</goal>
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<goal name="mult_err_combine'vc" expl="VC for mult_err_combine" proved="true">
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<transf name="split_vc" proved="true" >
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<goal name="mult_err_combine'vc.0" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.034251" steps="16"/></proof>
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</goal>
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<goal name="mult_err_combine'vc.1" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.029119" steps="16"/></proof>
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</goal>
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<goal name="mult_err_combine'vc.2" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.035031" steps="21"/></proof>
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</goal>
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<goal name="mult_err_combine'vc.3" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.044134" steps="24"/></proof>
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</goal>
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<goal name="mult_err_combine'vc.4" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.038750" steps="28"/></proof>
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</goal>
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<goal name="mult_err_combine'vc.5" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.026271" steps="28"/></proof>
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</goal>
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<goal name="mult_err_combine'vc.6" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.028817" steps="33"/></proof>
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</goal>
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<goal name="mult_err_combine'vc.7" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.030542" steps="36"/></proof>
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</goal>
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<goal name="mult_err_combine'vc.8" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.045189" steps="39"/></proof>
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</goal>
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<goal name="mult_err_combine'vc.9" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.025654" steps="39"/></proof>
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</goal>
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<goal name="mult_err_combine'vc.10" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.038581" steps="45"/></proof>
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</goal>
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<goal name="mult_err_combine'vc.11" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.040024" steps="48"/></proof>
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</goal>
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<goal name="mult_err_combine'vc.12" expl="assertion" proved="true">
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<proof prover="2" memlimit="2000"><result status="valid" time="1.173640" steps="99417"/></proof>
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</goal>
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<goal name="mult_err_combine'vc.13" expl="assertion" proved="true">
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<transf name="split_vc" proved="true" >
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<goal name="mult_err_combine'vc.13.0" expl="assertion" proved="true">
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<proof prover="2" memlimit="2000"><result status="valid" time="1.321966" steps="86765"/></proof>
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</goal>
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<goal name="mult_err_combine'vc.13.1" expl="VC for mult_err_combine" proved="true">
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<proof prover="5"><result status="valid" time="0.669734" steps="126655"/></proof>
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</goal>
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</transf>
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</goal>
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<goal name="mult_err_combine'vc.14" expl="assertion" proved="true">
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<proof prover="4"><result status="valid" time="8.993549" steps="14037"/></proof>
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</goal>
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<goal name="mult_err_combine'vc.15" expl="postcondition" proved="true">
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<proof prover="4"><result status="valid" time="0.098892" steps="172"/></proof>
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</goal>
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</transf>
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</goal>
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<goal name="exp_approx_err'vc" expl="VC for exp_approx_err" proved="true">
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<transf name="split_vc" proved="true" >
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<goal name="exp_approx_err'vc.0" expl="assertion" proved="true">
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<transf name="split_vc" proved="true" >
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<goal name="exp_approx_err'vc.0.0" expl="assertion" proved="true">
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<proof prover="4"><result status="valid" time="0.062346" steps="1467"/></proof>
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</goal>
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<goal name="exp_approx_err'vc.0.1" expl="VC for exp_approx_err" proved="true">
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<proof prover="4"><result status="valid" time="0.018819" steps="11"/></proof>
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</goal>
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</transf>
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</goal>
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<goal name="exp_approx_err'vc.1" expl="assertion" proved="true">
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<transf name="split_vc" proved="true" >
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<goal name="exp_approx_err'vc.1.0" expl="assertion" proved="true">
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<proof prover="4"><result status="valid" time="0.142400" steps="2405"/></proof>
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</goal>
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<goal name="exp_approx_err'vc.1.1" expl="VC for exp_approx_err" proved="true">
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<proof prover="4"><result status="valid" time="0.028179" steps="13"/></proof>
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</goal>
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<goal name="exp_approx_err'vc.1.2" expl="VC for exp_approx_err" proved="true">
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<proof prover="4"><result status="valid" time="0.041790" steps="96"/></proof>
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</goal>
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<goal name="exp_approx_err'vc.1.3" expl="VC for exp_approx_err" proved="true">
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<proof prover="4"><result status="valid" time="0.030432" steps="15"/></proof>
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</goal>
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<goal name="exp_approx_err'vc.1.4" expl="VC for exp_approx_err" proved="true">
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<proof prover="4"><result status="valid" time="0.963736" steps="11264"/></proof>
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</goal>
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<goal name="exp_approx_err'vc.1.5" expl="VC for exp_approx_err" proved="true">
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<proof prover="4"><result status="valid" time="0.027380" steps="18"/></proof>
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</goal>
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<goal name="exp_approx_err'vc.1.6" expl="VC for exp_approx_err" proved="true">
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<proof prover="4"><result status="valid" time="0.024855" steps="19"/></proof>
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</goal>
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</transf>
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</goal>
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<goal name="exp_approx_err'vc.2" expl="postcondition" proved="true">
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<transf name="split_vc" proved="true" >
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<goal name="exp_approx_err'vc.2.0" expl="postcondition" proved="true">
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<proof prover="4"><result status="valid" time="0.020912" steps="18"/></proof>
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</goal>
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</transf>
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</goal>
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</transf>
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</goal>
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<goal name="log_1_minus_x'vc" expl="VC for log_1_minus_x" proved="true">
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<transf name="split_vc" proved="true" >
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<goal name="log_1_minus_x'vc.0" expl="assertion" proved="true">
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<proof prover="4"><result status="valid" time="1.070601" steps="14082"/></proof>
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</goal>
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<goal name="log_1_minus_x'vc.1" expl="assertion" proved="true">
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<proof prover="2" memlimit="2000"><result status="valid" time="0.071981" steps="5498"/></proof>
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</goal>
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<goal name="log_1_minus_x'vc.2" expl="assertion" proved="true">
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<proof prover="4"><result status="valid" time="0.031199" steps="115"/></proof>
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</goal>
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<goal name="log_1_minus_x'vc.3" expl="postcondition" proved="true">
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<proof prover="4"><result status="valid" time="0.047651" steps="434"/></proof>
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</goal>
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</transf>
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</goal>
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<goal name="log2_1_minus_x'vc" expl="VC for log2_1_minus_x" proved="true">
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<transf name="split_vc" proved="true" >
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<goal name="log2_1_minus_x'vc.0" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.031263" steps="63"/></proof>
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</goal>
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<goal name="log2_1_minus_x'vc.1" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.032803" steps="61"/></proof>
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</goal>
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<goal name="log2_1_minus_x'vc.2" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.030379" steps="49"/></proof>
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</goal>
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<goal name="log2_1_minus_x'vc.3" expl="postcondition" proved="true">
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<proof prover="4"><result status="valid" time="0.030379" steps="156"/></proof>
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</goal>
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</transf>
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</goal>
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<goal name="log10_1_minus_x'vc" expl="VC for log10_1_minus_x" proved="true">
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<transf name="split_vc" proved="true" >
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<goal name="log10_1_minus_x'vc.0" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.032477" steps="63"/></proof>
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</goal>
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<goal name="log10_1_minus_x'vc.1" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.033661" steps="54"/></proof>
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</goal>
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<goal name="log10_1_minus_x'vc.2" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.031009" steps="49"/></proof>
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</goal>
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<goal name="log10_1_minus_x'vc.3" expl="postcondition" proved="true">
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<proof prover="4"><result status="valid" time="0.033661" steps="133"/></proof>
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</goal>
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</transf>
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</goal>
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<goal name="log_approx_err'vc" expl="VC for log_approx_err" proved="true">
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<transf name="split_vc" proved="true" >
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<goal name="log_approx_err'vc.0" expl="assertion" proved="true">
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<proof prover="4"><result status="valid" time="1.939729" steps="22506"/></proof>
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</goal>
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<goal name="log_approx_err'vc.1" expl="assertion" proved="true">
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<proof prover="4"><result status="valid" time="0.091371" steps="583"/></proof>
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</goal>
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<goal name="log_approx_err'vc.2" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.077947" steps="52"/></proof>
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</goal>
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<goal name="log_approx_err'vc.3" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.077798" steps="420"/></proof>
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</goal>
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<goal name="log_approx_err'vc.4" expl="postcondition" proved="true">
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<proof prover="4"><result status="valid" time="0.077798" steps="822"/></proof>
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</goal>
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</transf>
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</goal>
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<goal name="log2_approx_err'vc" expl="VC for log2_approx_err" proved="true">
|
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<transf name="split_vc" proved="true" >
|
|
<goal name="log2_approx_err'vc.0" expl="assertion" proved="true">
|
|
<proof prover="4"><result status="valid" time="1.506043" steps="22512"/></proof>
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</goal>
|
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<goal name="log2_approx_err'vc.1" expl="assertion" proved="true">
|
|
<proof prover="4"><result status="valid" time="0.054623" steps="522"/></proof>
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</goal>
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<goal name="log2_approx_err'vc.2" expl="precondition" proved="true">
|
|
<proof prover="4"><result status="valid" time="0.068944" steps="52"/></proof>
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</goal>
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<goal name="log2_approx_err'vc.3" expl="precondition" proved="true">
|
|
<proof prover="4"><result status="valid" time="0.068944" steps="407"/></proof>
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</goal>
|
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<goal name="log2_approx_err'vc.4" expl="postcondition" proved="true">
|
|
<proof prover="4"><result status="valid" time="5.100000" steps="31555"/></proof>
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</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="log10_approx_err'vc" expl="VC for log10_approx_err" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="log10_approx_err'vc.0" expl="assertion" proved="true">
|
|
<proof prover="4"><result status="valid" time="1.580697" steps="22506"/></proof>
|
|
</goal>
|
|
<goal name="log10_approx_err'vc.1" expl="assertion" proved="true">
|
|
<proof prover="4"><result status="valid" time="0.054493" steps="522"/></proof>
|
|
</goal>
|
|
<goal name="log10_approx_err'vc.2" expl="precondition" proved="true">
|
|
<proof prover="4"><result status="valid" time="0.059677" steps="52"/></proof>
|
|
</goal>
|
|
<goal name="log10_approx_err'vc.3" expl="precondition" proved="true">
|
|
<proof prover="4"><result status="valid" time="0.059677" steps="407"/></proof>
|
|
</goal>
|
|
<goal name="log10_approx_err'vc.4" expl="postcondition" proved="true">
|
|
<proof prover="4"><result status="valid" time="4.726068" steps="32077"/></proof>
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|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="sin_of_approx">
|
|
</goal>
|
|
<goal name="cos_of_approx">
|
|
</goal>
|
|
<goal name="sum_approx_err'vc" expl="VC for sum_approx_err" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="sum_approx_err'vc.0" expl="variant decrease" proved="true">
|
|
<proof prover="4"><result status="valid" time="0.023473" steps="28"/></proof>
|
|
</goal>
|
|
<goal name="sum_approx_err'vc.1" expl="precondition" proved="true">
|
|
<proof prover="4"><result status="valid" time="0.023039" steps="28"/></proof>
|
|
</goal>
|
|
<goal name="sum_approx_err'vc.2" expl="precondition" proved="true">
|
|
<proof prover="4"><result status="valid" time="0.023202" steps="344"/></proof>
|
|
</goal>
|
|
<goal name="sum_approx_err'vc.3" expl="postcondition" proved="true">
|
|
<proof prover="4"><result status="valid" time="3.714687" steps="22199"/></proof>
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|
</goal>
|
|
</transf>
|
|
</goal>
|
|
</theory>
|
|
<theory name="UFloatLemmas" proved="true">
|
|
<goal name="uadd_error_propagation'vc" expl="VC for uadd_error_propagation" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="uadd_error_propagation'vc.0" expl="assertion" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="uadd_error_propagation'vc.0.0" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.076010" steps="369"/></proof>
|
|
</goal>
|
|
<goal name="uadd_error_propagation'vc.0.1" expl="assertion" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.051696" steps="2911"/></proof>
|
|
</goal>
|
|
<goal name="uadd_error_propagation'vc.0.2" expl="assertion" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.040741" steps="2665"/></proof>
|
|
</goal>
|
|
<goal name="uadd_error_propagation'vc.0.3" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.079489" steps="529"/></proof>
|
|
</goal>
|
|
<goal name="uadd_error_propagation'vc.0.4" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.035731" steps="159"/></proof>
|
|
</goal>
|
|
<goal name="uadd_error_propagation'vc.0.5" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.056707" steps="378"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="uadd_error_propagation'vc.1" expl="assertion" proved="true">
|
|
<proof prover="6"><result status="valid" time="0.007881" steps="15924"/></proof>
|
|
</goal>
|
|
<goal name="uadd_error_propagation'vc.2" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.216762" steps="1831"/></proof>
|
|
</goal>
|
|
<goal name="uadd_error_propagation'vc.3" expl="assertion" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.033954" steps="3090"/></proof>
|
|
</goal>
|
|
<goal name="uadd_error_propagation'vc.4" expl="assertion" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.031755" steps="2651"/></proof>
|
|
</goal>
|
|
<goal name="uadd_error_propagation'vc.5" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.104399" steps="720"/></proof>
|
|
</goal>
|
|
<goal name="uadd_error_propagation'vc.6" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.036444" steps="191"/></proof>
|
|
</goal>
|
|
<goal name="uadd_error_propagation'vc.7" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.135066" steps="987"/></proof>
|
|
</goal>
|
|
<goal name="uadd_error_propagation'vc.8" expl="assertion" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="uadd_error_propagation'vc.8.0" expl="assertion" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.124439" steps="25243"/></proof>
|
|
</goal>
|
|
<goal name="uadd_error_propagation'vc.8.1" expl="assertion" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.021532" steps="1869"/></proof>
|
|
</goal>
|
|
<goal name="uadd_error_propagation'vc.8.2" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.182463" steps="504"/></proof>
|
|
</goal>
|
|
<goal name="uadd_error_propagation'vc.8.3" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.600268" steps="3775"/></proof>
|
|
</goal>
|
|
<goal name="uadd_error_propagation'vc.8.4" expl="assertion" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.024821" steps="1871"/></proof>
|
|
</goal>
|
|
<goal name="uadd_error_propagation'vc.8.5" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.040778" steps="310"/></proof>
|
|
</goal>
|
|
<goal name="uadd_error_propagation'vc.8.6" expl="assertion" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.034060" steps="2900"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="uadd_error_propagation'vc.9" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.716103" steps="46741"/></proof>
|
|
</goal>
|
|
<goal name="uadd_error_propagation'vc.10" expl="postcondition" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.038395" steps="3525"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="usub_error_propagation'vc" expl="VC for usub_error_propagation" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.072759" steps="486"/></proof>
|
|
</goal>
|
|
<goal name="umul_error_propagation'vc" expl="VC for umul_error_propagation" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="umul_error_propagation'vc.0" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.398301" steps="27157"/></proof>
|
|
</goal>
|
|
<goal name="umul_error_propagation'vc.1" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.383383" steps="14607"/></proof>
|
|
</goal>
|
|
<goal name="umul_error_propagation'vc.2" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.060575" steps="1471"/></proof>
|
|
</goal>
|
|
<goal name="umul_error_propagation'vc.3" expl="precondition" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.033326" steps="5397"/></proof>
|
|
</goal>
|
|
<goal name="umul_error_propagation'vc.4" expl="precondition" proved="true">
|
|
<proof prover="6"><result status="valid" time="0.009439" steps="5816"/></proof>
|
|
</goal>
|
|
<goal name="umul_error_propagation'vc.5" expl="precondition" proved="true">
|
|
<proof prover="6"><result status="valid" time="0.009042" steps="5821"/></proof>
|
|
</goal>
|
|
<goal name="umul_error_propagation'vc.6" expl="precondition" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.043478" steps="5400"/></proof>
|
|
</goal>
|
|
<goal name="umul_error_propagation'vc.7" expl="precondition" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.038663" steps="5401"/></proof>
|
|
</goal>
|
|
<goal name="umul_error_propagation'vc.8" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.056539" steps="264"/></proof>
|
|
</goal>
|
|
<goal name="umul_error_propagation'vc.9" expl="precondition" proved="true">
|
|
<proof prover="6"><result status="valid" time="0.009362" steps="5879"/></proof>
|
|
</goal>
|
|
<goal name="umul_error_propagation'vc.10" expl="precondition" proved="true">
|
|
<proof prover="6"><result status="valid" time="0.010196" steps="5902"/></proof>
|
|
</goal>
|
|
<goal name="umul_error_propagation'vc.11" expl="assertion" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="umul_error_propagation'vc.11.0" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.120629" steps="2099"/></proof>
|
|
</goal>
|
|
<goal name="umul_error_propagation'vc.11.1" expl="assertion" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.040521" steps="6439"/></proof>
|
|
</goal>
|
|
<goal name="umul_error_propagation'vc.11.2" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="2.086094" steps="217813"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="umul_error_propagation'vc.12" expl="postcondition" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.047119" steps="6924"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="log_error_propagation'vc" expl="VC for log_error_propagation" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="log_error_propagation'vc.0" expl="precondition" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.036082" steps="5675"/></proof>
|
|
</goal>
|
|
<goal name="log_error_propagation'vc.1" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.054214" steps="175"/></proof>
|
|
</goal>
|
|
<goal name="log_error_propagation'vc.2" expl="precondition" proved="true">
|
|
<proof prover="6"><result status="valid" time="0.007848" steps="10029"/></proof>
|
|
</goal>
|
|
<goal name="log_error_propagation'vc.3" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.204055" steps="1432"/></proof>
|
|
</goal>
|
|
<goal name="log_error_propagation'vc.4" expl="postcondition" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.046369" steps="6959"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="log2_error_propagation'vc" expl="VC for log2_error_propagation" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="log2_error_propagation'vc.0" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.056931" steps="181"/></proof>
|
|
</goal>
|
|
<goal name="log2_error_propagation'vc.1" expl="precondition" proved="true">
|
|
<proof prover="6"><result status="valid" time="0.010973" steps="7387"/></proof>
|
|
</goal>
|
|
<goal name="log2_error_propagation'vc.2" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.046738" steps="175"/></proof>
|
|
</goal>
|
|
<goal name="log2_error_propagation'vc.3" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.157196" steps="1472"/></proof>
|
|
</goal>
|
|
<goal name="log2_error_propagation'vc.4" expl="postcondition" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.050557" steps="7893"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="log2_error_propagation_simple'vc" expl="VC for log2_error_propagation_simple" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="log2_error_propagation_simple'vc.0" expl="precondition" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.034658" steps="6404"/></proof>
|
|
</goal>
|
|
<goal name="log2_error_propagation_simple'vc.1" expl="precondition" proved="true">
|
|
<proof prover="6"><result status="valid" time="0.006921" steps="7781"/></proof>
|
|
</goal>
|
|
<goal name="log2_error_propagation_simple'vc.2" expl="precondition" proved="true">
|
|
<proof prover="6"><result status="valid" time="0.008985" steps="7794"/></proof>
|
|
</goal>
|
|
<goal name="log2_error_propagation_simple'vc.3" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="1.333726" steps="22351"/></proof>
|
|
</goal>
|
|
<goal name="log2_error_propagation_simple'vc.4" expl="precondition" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.063524" steps="6453"/></proof>
|
|
</goal>
|
|
<goal name="log2_error_propagation_simple'vc.5" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.724096" steps="10669"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="log10_error_propagation'vc" expl="VC for log10_error_propagation" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="log10_error_propagation'vc.0" expl="precondition" proved="true">
|
|
<proof prover="6"><result status="valid" time="0.005187" steps="8148"/></proof>
|
|
</goal>
|
|
<goal name="log10_error_propagation'vc.1" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.041335" steps="175"/></proof>
|
|
</goal>
|
|
<goal name="log10_error_propagation'vc.2" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.059103" steps="175"/></proof>
|
|
</goal>
|
|
<goal name="log10_error_propagation'vc.3" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.184212" steps="1469"/></proof>
|
|
</goal>
|
|
<goal name="log10_error_propagation'vc.4" expl="postcondition" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.051062" steps="8375"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="exp_error_propagation'vc" expl="VC for exp_error_propagation" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="exp_error_propagation'vc.0" expl="precondition" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.036643" steps="6869"/></proof>
|
|
</goal>
|
|
<goal name="exp_error_propagation'vc.1" expl="precondition" proved="true">
|
|
<proof prover="6"><result status="valid" time="0.012930" steps="8463"/></proof>
|
|
</goal>
|
|
<goal name="exp_error_propagation'vc.2" expl="assertion" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="exp_error_propagation'vc.2.0" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.361520" steps="3060"/></proof>
|
|
</goal>
|
|
<goal name="exp_error_propagation'vc.2.1" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.066696" steps="200"/></proof>
|
|
</goal>
|
|
<goal name="exp_error_propagation'vc.2.2" expl="VC for exp_error_propagation" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.081207" steps="242"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="exp_error_propagation'vc.3" expl="assertion" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="exp_error_propagation'vc.3.0" expl="assertion" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.067953" steps="7564"/></proof>
|
|
</goal>
|
|
<goal name="exp_error_propagation'vc.3.1" expl="VC for exp_error_propagation" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.510728" steps="7098"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="exp_error_propagation'vc.4" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.350122" steps="7247"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="sin_error_propagation'vc" expl="VC for sin_error_propagation" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="sin_error_propagation'vc.0" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.259488" steps="1924"/></proof>
|
|
</goal>
|
|
<goal name="sin_error_propagation'vc.1" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.618404" steps="4442"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="cos_error_propagation'vc" expl="VC for cos_error_propagation" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="cos_error_propagation'vc.0" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.301082" steps="1927"/></proof>
|
|
</goal>
|
|
<goal name="cos_error_propagation'vc.1" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="2.340048" steps="15335"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="sum_error_propagation'vc" expl="VC for sum_error_propagation" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="sum_error_propagation'vc.0" expl="precondition" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.046566" steps="7892"/></proof>
|
|
</goal>
|
|
<goal name="sum_error_propagation'vc.1" expl="precondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.173162" steps="35211"/></proof>
|
|
</goal>
|
|
<goal name="sum_error_propagation'vc.2" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.047966" steps="160"/></proof>
|
|
</goal>
|
|
<goal name="sum_error_propagation'vc.3" expl="precondition" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.108066" steps="24130"/></proof>
|
|
</goal>
|
|
<goal name="sum_error_propagation'vc.4" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.923754" steps="9699"/></proof>
|
|
</goal>
|
|
<goal name="sum_error_propagation'vc.5" expl="postcondition" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.062757" steps="8922"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="udiv_exact_error_propagation'vc" expl="VC for udiv_exact_error_propagation" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="udiv_exact_error_propagation'vc.0" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.050202" steps="163"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_error_propagation'vc.1" expl="precondition" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.044728" steps="8464"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_error_propagation'vc.2" expl="precondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.080285" steps="18343"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_error_propagation'vc.3" expl="precondition" proved="true">
|
|
<proof prover="6"><result status="valid" time="0.014802" steps="9871"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_error_propagation'vc.4" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="3.987717" steps="131900"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_error_propagation'vc.5" expl="precondition" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.038351" steps="9477"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_error_propagation'vc.6" expl="precondition" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.043769" steps="8583"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_error_propagation'vc.7" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.046529" steps="182"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_error_propagation'vc.8" expl="assertion" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="udiv_exact_error_propagation'vc.8.0" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.056196" steps="392"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_error_propagation'vc.8.1" expl="VC for udiv_exact_error_propagation" proved="true">
|
|
<proof prover="8"><result status="valid" time="4.407109" steps="108902"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="udiv_exact_error_propagation'vc.9" expl="precondition" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.038784" steps="10272"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_error_propagation'vc.10" expl="precondition" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.042616" steps="8782"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_error_propagation'vc.11" expl="assertion" proved="true">
|
|
<proof prover="5" timelimit="120"><undone/></proof>
|
|
<proof prover="8" timelimit="120"><result status="valid" time="27.031945" steps="948128"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_error_propagation'vc.12" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="1.072693" steps="60854"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_error_propagation'vc.13" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.053736" steps="352"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
</theory>
|
|
<theory name="USingleLemmas">
|
|
<goal name="uadd_single_error_propagation'vc" expl="VC for uadd_single_error_propagation" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="uadd_single_error_propagation'vc.0" expl="assertion" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="uadd_single_error_propagation'vc.0.0" expl="assertion" proved="true">
|
|
<proof prover="7"><result status="valid" time="0.065846" steps="279"/></proof>
|
|
</goal>
|
|
<goal name="uadd_single_error_propagation'vc.0.1" expl="assertion" proved="true">
|
|
<proof prover="7"><result status="valid" time="0.088333" steps="388"/></proof>
|
|
</goal>
|
|
<goal name="uadd_single_error_propagation'vc.0.2" expl="assertion" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.053945" steps="4896"/></proof>
|
|
</goal>
|
|
<goal name="uadd_single_error_propagation'vc.0.3" expl="VC for uadd_single_error_propagation" proved="true">
|
|
<proof prover="7"><result status="valid" time="0.053833" steps="225"/></proof>
|
|
</goal>
|
|
<goal name="uadd_single_error_propagation'vc.0.4" expl="VC for uadd_single_error_propagation" proved="true">
|
|
<proof prover="7"><result status="valid" time="0.040795" steps="128"/></proof>
|
|
</goal>
|
|
<goal name="uadd_single_error_propagation'vc.0.5" expl="VC for uadd_single_error_propagation" proved="true">
|
|
<proof prover="7"><result status="valid" time="0.198300" steps="268"/></proof>
|
|
</goal>
|
|
<goal name="uadd_single_error_propagation'vc.0.6" expl="VC for uadd_single_error_propagation" proved="true">
|
|
<proof prover="7"><result status="valid" time="0.046753" steps="144"/></proof>
|
|
</goal>
|
|
<goal name="uadd_single_error_propagation'vc.0.7" expl="VC for uadd_single_error_propagation" proved="true">
|
|
<proof prover="7"><result status="valid" time="0.049453" steps="257"/></proof>
|
|
</goal>
|
|
<goal name="uadd_single_error_propagation'vc.0.8" expl="VC for uadd_single_error_propagation" proved="true">
|
|
<proof prover="7"><result status="valid" time="0.044921" steps="267"/></proof>
|
|
</goal>
|
|
<goal name="uadd_single_error_propagation'vc.0.9" expl="VC for uadd_single_error_propagation" proved="true">
|
|
<proof prover="0"><result status="valid" time="0.124589" steps="28434"/></proof>
|
|
</goal>
|
|
<goal name="uadd_single_error_propagation'vc.0.10" expl="VC for uadd_single_error_propagation" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.051085" steps="4674"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="uadd_single_error_propagation'vc.1" expl="postcondition" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="uadd_single_error_propagation'vc.1.0" expl="postcondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.043309" steps="4811"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="usub_single_error_propagation'vc" expl="VC for usub_single_error_propagation" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.065895" steps="533"/></proof>
|
|
</goal>
|
|
<goal name="umul_single_error_propagation'vc" expl="VC for umul_single_error_propagation" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="umul_single_error_propagation'vc.0" expl="assertion" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.620011" steps="97327"/></proof>
|
|
</goal>
|
|
<goal name="umul_single_error_propagation'vc.1" expl="assertion" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="umul_single_error_propagation'vc.1.0" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.353321" steps="7013"/></proof>
|
|
</goal>
|
|
<goal name="umul_single_error_propagation'vc.1.1" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.041799" steps="250"/></proof>
|
|
</goal>
|
|
<goal name="umul_single_error_propagation'vc.1.2" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.335921" steps="5973"/></proof>
|
|
</goal>
|
|
<goal name="umul_single_error_propagation'vc.1.3" expl="VC for umul_single_error_propagation" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.158355" steps="1671"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="umul_single_error_propagation'vc.2" expl="precondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.047140" steps="10373"/></proof>
|
|
</goal>
|
|
<goal name="umul_single_error_propagation'vc.3" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.036290" steps="255"/></proof>
|
|
</goal>
|
|
<goal name="umul_single_error_propagation'vc.4" expl="precondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.054232" steps="10379"/></proof>
|
|
</goal>
|
|
<goal name="umul_single_error_propagation'vc.5" expl="precondition" proved="true">
|
|
<proof prover="3"><result status="valid" time="0.024346" steps="5880"/></proof>
|
|
</goal>
|
|
<goal name="umul_single_error_propagation'vc.6" expl="precondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.054487" steps="10385"/></proof>
|
|
</goal>
|
|
<goal name="umul_single_error_propagation'vc.7" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.023863" steps="266"/></proof>
|
|
</goal>
|
|
<goal name="umul_single_error_propagation'vc.8" expl="precondition" proved="true">
|
|
<proof prover="3"><result status="valid" time="0.024299" steps="5933"/></proof>
|
|
</goal>
|
|
<goal name="umul_single_error_propagation'vc.9" expl="precondition" proved="true">
|
|
<proof prover="3"><result status="valid" time="0.020124" steps="5956"/></proof>
|
|
</goal>
|
|
<goal name="umul_single_error_propagation'vc.10" expl="postcondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.065856" steps="12089"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="log_single_error_propagation'vc" expl="VC for log_single_error_propagation" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="log_single_error_propagation'vc.0" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.030742" steps="138"/></proof>
|
|
</goal>
|
|
<goal name="log_single_error_propagation'vc.1" expl="precondition" proved="true">
|
|
<proof prover="2"><result status="valid" time="0.072113" steps="7409"/></proof>
|
|
</goal>
|
|
<goal name="log_single_error_propagation'vc.2" expl="precondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.056877" steps="11106"/></proof>
|
|
</goal>
|
|
<goal name="log_single_error_propagation'vc.3" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.265965" steps="1309"/></proof>
|
|
</goal>
|
|
<goal name="log_single_error_propagation'vc.4" expl="postcondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.065127" steps="12404"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="log2_single_error_propagation'vc" expl="VC for log2_single_error_propagation" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="log2_single_error_propagation'vc.0" expl="precondition" proved="true">
|
|
<proof prover="2"><result status="valid" time="0.075456" steps="7893"/></proof>
|
|
</goal>
|
|
<goal name="log2_single_error_propagation'vc.1" expl="precondition" proved="true">
|
|
<proof prover="3"><result status="valid" time="0.016106" steps="7465"/></proof>
|
|
</goal>
|
|
<goal name="log2_single_error_propagation'vc.2" expl="precondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.051677" steps="11927"/></proof>
|
|
</goal>
|
|
<goal name="log2_single_error_propagation'vc.3" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.243122" steps="1361"/></proof>
|
|
</goal>
|
|
<goal name="log2_single_error_propagation'vc.4" expl="postcondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.070284" steps="13653"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="log10_single_error_propagation'vc" expl="VC for log10_single_error_propagation" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="log10_single_error_propagation'vc.0" expl="precondition" proved="true">
|
|
<proof prover="2"><result status="valid" time="0.080282" steps="8395"/></proof>
|
|
</goal>
|
|
<goal name="log10_single_error_propagation'vc.1" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.029792" steps="131"/></proof>
|
|
</goal>
|
|
<goal name="log10_single_error_propagation'vc.2" expl="precondition" proved="true">
|
|
<proof prover="3"><result status="valid" time="0.027946" steps="11323"/></proof>
|
|
</goal>
|
|
<goal name="log10_single_error_propagation'vc.3" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.264571" steps="1364"/></proof>
|
|
</goal>
|
|
<goal name="log10_single_error_propagation'vc.4" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.207683" steps="457"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="exp_single_error_propagation'vc" expl="VC for exp_single_error_propagation" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="exp_single_error_propagation'vc.0" expl="precondition" proved="true">
|
|
<proof prover="3"><result status="valid" time="0.019700" steps="8165"/></proof>
|
|
</goal>
|
|
<goal name="exp_single_error_propagation'vc.1" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.033220" steps="120"/></proof>
|
|
</goal>
|
|
<goal name="exp_single_error_propagation'vc.2" expl="assertion" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="exp_single_error_propagation'vc.2.0" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.257548" steps="2994"/></proof>
|
|
</goal>
|
|
<goal name="exp_single_error_propagation'vc.2.1" expl="assertion" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.073628" steps="14440"/></proof>
|
|
</goal>
|
|
<goal name="exp_single_error_propagation'vc.2.2" expl="VC for exp_single_error_propagation" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.033526" steps="199"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="exp_single_error_propagation'vc.3" expl="assertion" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="exp_single_error_propagation'vc.3.0" expl="assertion" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.079925" steps="14532"/></proof>
|
|
</goal>
|
|
<goal name="exp_single_error_propagation'vc.3.1" expl="VC for exp_single_error_propagation" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.410489" steps="6986"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="exp_single_error_propagation'vc.4" expl="postcondition" proved="true">
|
|
<proof prover="4"><result status="valid" time="0.740842" steps="2860"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="sin_single_error_propagation'vc" expl="VC for sin_single_error_propagation" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="sin_single_error_propagation'vc.0" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.577590" steps="1825"/></proof>
|
|
</goal>
|
|
<goal name="sin_single_error_propagation'vc.1" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.819090" steps="4172"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="cos_single_error_propagation'vc" expl="VC for cos_single_error_propagation" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="cos_single_error_propagation'vc.0" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.291243" steps="1836"/></proof>
|
|
</goal>
|
|
<goal name="cos_single_error_propagation'vc.1" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="2.692837" steps="15039"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="sum_single_error_propagation'vc" expl="VC for sum_single_error_propagation" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="sum_single_error_propagation'vc.0" expl="precondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.072000" steps="15686"/></proof>
|
|
</goal>
|
|
<goal name="sum_single_error_propagation'vc.1" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.078137" steps="705"/></proof>
|
|
</goal>
|
|
<goal name="sum_single_error_propagation'vc.2" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.031816" steps="117"/></proof>
|
|
</goal>
|
|
<goal name="sum_single_error_propagation'vc.3" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.072476" steps="574"/></proof>
|
|
</goal>
|
|
<goal name="sum_single_error_propagation'vc.4" expl="assertion" proved="true">
|
|
<proof prover="4"><result status="valid" time="0.790476" steps="6425"/></proof>
|
|
</goal>
|
|
<goal name="sum_single_error_propagation'vc.5" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.062887" steps="297"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="udiv_exact_single_error_propagation'vc" expl="VC for udiv_exact_single_error_propagation">
|
|
<transf name="split_vc" >
|
|
<goal name="udiv_exact_single_error_propagation'vc.0" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.035623" steps="122"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_single_error_propagation'vc.1" expl="precondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.065265" steps="16806"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_single_error_propagation'vc.2" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.031495" steps="155"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_single_error_propagation'vc.3" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.026231" steps="141"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_single_error_propagation'vc.4" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="3.591273" steps="130962"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_single_error_propagation'vc.5" expl="precondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.085465" steps="17931"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_single_error_propagation'vc.6" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.031882" steps="130"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_single_error_propagation'vc.7" expl="assertion">
|
|
<transf name="split_vc" >
|
|
<goal name="udiv_exact_single_error_propagation'vc.7.0" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.267638" steps="3827"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_single_error_propagation'vc.7.1" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.047200" steps="351"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_single_error_propagation'vc.7.2" expl="assertion">
|
|
<proof prover="1"><result status="timeout" time="5.000000" steps="394666"/></proof>
|
|
<proof prover="5"><result status="timeout" time="5.000000"/></proof>
|
|
<proof prover="6"><result status="outofmemory" time="3.718857"/></proof>
|
|
<proof prover="8"><result status="timeout" time="5.000000" steps="51288"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_single_error_propagation'vc.7.3" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.171229" steps="2898"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_single_error_propagation'vc.7.4" expl="VC for udiv_exact_single_error_propagation" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.089189" steps="19191"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="udiv_exact_single_error_propagation'vc.8" expl="assertion" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="udiv_exact_single_error_propagation'vc.8.0" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.125918" steps="1975"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_single_error_propagation'vc.8.1" expl="VC for udiv_exact_single_error_propagation" proved="true">
|
|
<proof prover="8"><result status="valid" time="3.020909" steps="91597"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="udiv_exact_single_error_propagation'vc.9" expl="precondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.098518" steps="18896"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_single_error_propagation'vc.10" expl="precondition" proved="true">
|
|
<proof prover="3"><result status="valid" time="0.012260" steps="9783"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_single_error_propagation'vc.11" expl="postcondition">
|
|
<proof prover="1"><result status="timeout" time="5.000000" steps="384123"/></proof>
|
|
<proof prover="5"><result status="timeout" time="5.000000"/></proof>
|
|
<proof prover="6"><result status="timeout" time="5.000000" steps="7162849"/></proof>
|
|
<proof prover="8"><result status="timeout" time="5.000000" steps="118921"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_single_error_propagation'vc.12" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.082194" steps="323"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
</theory>
|
|
<theory name="UDoubleLemmas">
|
|
<goal name="uadd_double_error_propagation'vc" expl="VC for uadd_double_error_propagation" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="uadd_double_error_propagation'vc.0" expl="assertion" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="uadd_double_error_propagation'vc.0.0" expl="assertion" proved="true">
|
|
<proof prover="7"><result status="valid" time="0.065615" steps="285"/></proof>
|
|
</goal>
|
|
<goal name="uadd_double_error_propagation'vc.0.1" expl="assertion" proved="true">
|
|
<proof prover="7"><result status="valid" time="0.205519" steps="403"/></proof>
|
|
</goal>
|
|
<goal name="uadd_double_error_propagation'vc.0.2" expl="assertion" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.047728" steps="4896"/></proof>
|
|
</goal>
|
|
<goal name="uadd_double_error_propagation'vc.0.3" expl="VC for uadd_double_error_propagation" proved="true">
|
|
<proof prover="7"><result status="valid" time="0.199606" steps="225"/></proof>
|
|
</goal>
|
|
<goal name="uadd_double_error_propagation'vc.0.4" expl="VC for uadd_double_error_propagation" proved="true">
|
|
<proof prover="7"><result status="valid" time="0.034273" steps="128"/></proof>
|
|
</goal>
|
|
<goal name="uadd_double_error_propagation'vc.0.5" expl="VC for uadd_double_error_propagation" proved="true">
|
|
<proof prover="7"><result status="valid" time="0.212201" steps="236"/></proof>
|
|
</goal>
|
|
<goal name="uadd_double_error_propagation'vc.0.6" expl="VC for uadd_double_error_propagation" proved="true">
|
|
<proof prover="7"><result status="valid" time="0.163460" steps="144"/></proof>
|
|
</goal>
|
|
<goal name="uadd_double_error_propagation'vc.0.7" expl="VC for uadd_double_error_propagation" proved="true">
|
|
<proof prover="7"><result status="valid" time="0.052624" steps="257"/></proof>
|
|
</goal>
|
|
<goal name="uadd_double_error_propagation'vc.0.8" expl="VC for uadd_double_error_propagation" proved="true">
|
|
<proof prover="7"><result status="valid" time="0.043572" steps="267"/></proof>
|
|
</goal>
|
|
<goal name="uadd_double_error_propagation'vc.0.9" expl="VC for uadd_double_error_propagation" proved="true">
|
|
<proof prover="0" memlimit="2000"><result status="valid" time="0.148415" steps="28434"/></proof>
|
|
</goal>
|
|
<goal name="uadd_double_error_propagation'vc.0.10" expl="VC for uadd_double_error_propagation" proved="true">
|
|
<proof prover="7"><result status="valid" time="0.052619" steps="186"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="uadd_double_error_propagation'vc.1" expl="postcondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.046754" steps="4811"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="usub_double_error_propagation'vc" expl="VC for usub_double_error_propagation" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.070154" steps="533"/></proof>
|
|
</goal>
|
|
<goal name="umul_double_error_propagation'vc" expl="VC for umul_double_error_propagation" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="umul_double_error_propagation'vc.0" expl="assertion" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.608890" steps="97327"/></proof>
|
|
</goal>
|
|
<goal name="umul_double_error_propagation'vc.1" expl="assertion" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="umul_double_error_propagation'vc.1.0" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.260471" steps="7012"/></proof>
|
|
</goal>
|
|
<goal name="umul_double_error_propagation'vc.1.1" expl="assertion" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.051025" steps="10302"/></proof>
|
|
</goal>
|
|
<goal name="umul_double_error_propagation'vc.1.2" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.267290" steps="6225"/></proof>
|
|
</goal>
|
|
<goal name="umul_double_error_propagation'vc.1.3" expl="VC for umul_double_error_propagation" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.059314" steps="1671"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="umul_double_error_propagation'vc.2" expl="precondition" proved="true">
|
|
<proof prover="3"><result status="valid" time="0.024702" steps="5865"/></proof>
|
|
</goal>
|
|
<goal name="umul_double_error_propagation'vc.3" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.035006" steps="255"/></proof>
|
|
</goal>
|
|
<goal name="umul_double_error_propagation'vc.4" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.030918" steps="255"/></proof>
|
|
</goal>
|
|
<goal name="umul_double_error_propagation'vc.5" expl="precondition" proved="true">
|
|
<proof prover="2"><result status="valid" time="0.076954" steps="6858"/></proof>
|
|
</goal>
|
|
<goal name="umul_double_error_propagation'vc.6" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.037888" steps="263"/></proof>
|
|
</goal>
|
|
<goal name="umul_double_error_propagation'vc.7" expl="precondition" proved="true">
|
|
<proof prover="2"><result status="valid" time="0.067551" steps="6860"/></proof>
|
|
</goal>
|
|
<goal name="umul_double_error_propagation'vc.8" expl="precondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.043106" steps="10391"/></proof>
|
|
</goal>
|
|
<goal name="umul_double_error_propagation'vc.9" expl="precondition" proved="true">
|
|
<proof prover="3"><result status="valid" time="0.011842" steps="5956"/></proof>
|
|
</goal>
|
|
<goal name="umul_double_error_propagation'vc.10" expl="postcondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.075694" steps="12089"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="log_double_error_propagation'vc" expl="VC for log_double_error_propagation" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="log_double_error_propagation'vc.0" expl="precondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.049909" steps="11083"/></proof>
|
|
</goal>
|
|
<goal name="log_double_error_propagation'vc.1" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.034036" steps="131"/></proof>
|
|
</goal>
|
|
<goal name="log_double_error_propagation'vc.2" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.024485" steps="131"/></proof>
|
|
</goal>
|
|
<goal name="log_double_error_propagation'vc.3" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.116252" steps="1307"/></proof>
|
|
</goal>
|
|
<goal name="log_double_error_propagation'vc.4" expl="postcondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.070137" steps="12404"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="log2_double_error_propagation'vc" expl="VC for log2_double_error_propagation" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="log2_double_error_propagation'vc.0" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.033275" steps="138"/></proof>
|
|
</goal>
|
|
<goal name="log2_double_error_propagation'vc.1" expl="precondition" proved="true">
|
|
<proof prover="2"><result status="valid" time="0.072523" steps="7895"/></proof>
|
|
</goal>
|
|
<goal name="log2_double_error_propagation'vc.2" expl="precondition" proved="true">
|
|
<proof prover="2"><result status="valid" time="0.071876" steps="7909"/></proof>
|
|
</goal>
|
|
<goal name="log2_double_error_propagation'vc.3" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.146255" steps="1352"/></proof>
|
|
</goal>
|
|
<goal name="log2_double_error_propagation'vc.4" expl="postcondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.074633" steps="13653"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="log2_double_error_propagation_simple'vc" expl="VC for log2_double_error_propagation_simple" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="log2_double_error_propagation_simple'vc.0" expl="precondition" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.053338" steps="6315"/></proof>
|
|
</goal>
|
|
<goal name="log2_double_error_propagation_simple'vc.1" expl="precondition" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.028971" steps="6325"/></proof>
|
|
</goal>
|
|
<goal name="log2_double_error_propagation_simple'vc.2" expl="precondition" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.041801" steps="6331"/></proof>
|
|
</goal>
|
|
<goal name="log2_double_error_propagation_simple'vc.3" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.878087" steps="21929"/></proof>
|
|
</goal>
|
|
<goal name="log2_double_error_propagation_simple'vc.4" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.036357" steps="131"/></proof>
|
|
</goal>
|
|
<goal name="log2_double_error_propagation_simple'vc.5" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.712877" steps="10130"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="log10_double_error_propagation'vc" expl="VC for log10_double_error_propagation" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="log10_double_error_propagation'vc.0" expl="precondition" proved="true">
|
|
<proof prover="2"><result status="valid" time="0.081117" steps="8821"/></proof>
|
|
</goal>
|
|
<goal name="log10_double_error_propagation'vc.1" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.027968" steps="131"/></proof>
|
|
</goal>
|
|
<goal name="log10_double_error_propagation'vc.2" expl="precondition" proved="true">
|
|
<proof prover="2"><result status="valid" time="0.078272" steps="8837"/></proof>
|
|
</goal>
|
|
<goal name="log10_double_error_propagation'vc.3" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.258312" steps="1340"/></proof>
|
|
</goal>
|
|
<goal name="log10_double_error_propagation'vc.4" expl="postcondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.077372" steps="15392"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="exp_double_error_propagation'vc" expl="VC for exp_double_error_propagation" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="exp_double_error_propagation'vc.0" expl="precondition" proved="true">
|
|
<proof prover="2"><result status="valid" time="0.084597" steps="9255"/></proof>
|
|
</goal>
|
|
<goal name="exp_double_error_propagation'vc.1" expl="precondition" proved="true">
|
|
<proof prover="3"><result status="valid" time="0.024012" steps="8545"/></proof>
|
|
</goal>
|
|
<goal name="exp_double_error_propagation'vc.2" expl="assertion" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="exp_double_error_propagation'vc.2.0" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.247218" steps="2955"/></proof>
|
|
</goal>
|
|
<goal name="exp_double_error_propagation'vc.2.1" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.034784" steps="157"/></proof>
|
|
</goal>
|
|
<goal name="exp_double_error_propagation'vc.2.2" expl="VC for exp_double_error_propagation" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.060835" steps="15294"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="exp_double_error_propagation'vc.3" expl="assertion" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="exp_double_error_propagation'vc.3.0" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.041928" steps="213"/></proof>
|
|
</goal>
|
|
<goal name="exp_double_error_propagation'vc.3.1" expl="VC for exp_double_error_propagation" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.306741" steps="6985"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="exp_double_error_propagation'vc.4" expl="postcondition" proved="true">
|
|
<proof prover="4"><result status="valid" time="0.792407" steps="2485"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="sin_double_error_propagation'vc" expl="VC for sin_double_error_propagation" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="sin_double_error_propagation'vc.0" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.311919" steps="1815"/></proof>
|
|
</goal>
|
|
<goal name="sin_double_error_propagation'vc.1" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.594898" steps="4127"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="cos_double_error_propagation'vc" expl="VC for cos_double_error_propagation" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="cos_double_error_propagation'vc.0" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.287180" steps="1830"/></proof>
|
|
</goal>
|
|
<goal name="cos_double_error_propagation'vc.1" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="2.584039" steps="15037"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="sum_double_error_propagation'vc" expl="VC for sum_double_error_propagation" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="sum_double_error_propagation'vc.0" expl="precondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.055005" steps="16422"/></proof>
|
|
</goal>
|
|
<goal name="sum_double_error_propagation'vc.1" expl="precondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.137719" steps="35154"/></proof>
|
|
</goal>
|
|
<goal name="sum_double_error_propagation'vc.2" expl="precondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.059527" steps="16554"/></proof>
|
|
</goal>
|
|
<goal name="sum_double_error_propagation'vc.3" expl="precondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.161644" steps="35551"/></proof>
|
|
</goal>
|
|
<goal name="sum_double_error_propagation'vc.4" expl="assertion" proved="true">
|
|
<proof prover="4"><result status="valid" time="0.780164" steps="6430"/></proof>
|
|
</goal>
|
|
<goal name="sum_double_error_propagation'vc.5" expl="postcondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.091479" steps="17554"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="udiv_exact_double_error_propagation'vc" expl="VC for udiv_exact_double_error_propagation">
|
|
<transf name="split_vc" >
|
|
<goal name="udiv_exact_double_error_propagation'vc.0" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.032211" steps="123"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_double_error_propagation'vc.1" expl="precondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.057582" steps="17542"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_double_error_propagation'vc.2" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.032878" steps="155"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_double_error_propagation'vc.3" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.031527" steps="141"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_double_error_propagation'vc.4" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="3.659389" steps="130775"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_double_error_propagation'vc.5" expl="precondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.072173" steps="18668"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_double_error_propagation'vc.6" expl="precondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.066760" steps="17891"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_double_error_propagation'vc.7" expl="assertion">
|
|
</goal>
|
|
<goal name="udiv_exact_double_error_propagation'vc.8" expl="assertion" proved="true">
|
|
<transf name="split_vc" proved="true" >
|
|
<goal name="udiv_exact_double_error_propagation'vc.8.0" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.265745" steps="1973"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_double_error_propagation'vc.8.1" expl="VC for udiv_exact_double_error_propagation" proved="true">
|
|
<proof prover="8"><result status="valid" time="3.042408" steps="89957"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="udiv_exact_double_error_propagation'vc.9" expl="precondition" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.083986" steps="19611"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_double_error_propagation'vc.10" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.031140" steps="210"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_double_error_propagation'vc.11" expl="postcondition">
|
|
<proof prover="1"><result status="timeout" time="5.000000" steps="401578"/></proof>
|
|
<proof prover="5"><result status="timeout" time="5.000000"/></proof>
|
|
<proof prover="6"><result status="outofmemory" time="5.288438"/></proof>
|
|
<proof prover="8"><result status="timeout" time="5.000000" steps="129674"/></proof>
|
|
</goal>
|
|
<goal name="udiv_exact_double_error_propagation'vc.12" expl="postcondition" proved="true">
|
|
<proof prover="6"><result status="valid" time="0.033510" steps="87611"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
</theory>
|
|
</file>
|
|
</why3session>
|