mirror of
https://github.com/AdaCore/why3.git
synced 2026-02-12 12:34:55 -08:00
131 lines
6.7 KiB
XML
131 lines
6.7 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="CVC5" version="1.0.5" timelimit="1" steplimit="0" memlimit="1000"/>
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<prover id="2" name="CVC4" version="1.6" timelimit="1" steplimit="0" memlimit="1000"/>
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<prover id="4" name="CVC4" version="1.5" timelimit="11" steplimit="0" memlimit="1000"/>
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<prover id="5" name="CVC4" version="1.8" timelimit="1" steplimit="0" memlimit="1000"/>
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<prover id="7" name="Z3" version="4.12.2" timelimit="5" steplimit="0" memlimit="1000"/>
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<prover id="9" name="Alt-Ergo" version="2.6.0" timelimit="11" steplimit="0" memlimit="1000"/>
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<file format="whyml" proved="true">
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<path name=".."/><path name="isqrt.mlw"/>
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<theory name="Square" proved="true">
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<goal name="sqr_non_neg" proved="true">
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<proof prover="2"><result status="valid" time="0.020000" steps="327"/></proof>
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<proof prover="9" timelimit="5"><result status="valid" time="0.000000" steps="5"/></proof>
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</goal>
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<goal name="sqr_increasing" proved="true">
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<proof prover="0"><result status="valid" time="0.030000" steps="6472"/></proof>
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<proof prover="5"><result status="valid" time="0.027580" steps="3451"/></proof>
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</goal>
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<goal name="sqr_sum" proved="true">
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<proof prover="9"><result status="valid" time="0.000000" steps="54"/></proof>
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</goal>
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</theory>
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<theory name="Simple" proved="true">
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<goal name="isqrt'vc" expl="VC for isqrt" proved="true">
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<proof prover="9"><result status="valid" time="0.000000" steps="116"/></proof>
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</goal>
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<goal name="main'vc" expl="VC for main" proved="true">
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<proof prover="9"><result status="valid" time="0.000000" steps="24"/></proof>
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</goal>
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</theory>
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<theory name="NewtonMethod" proved="true">
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<goal name="sqrt'vc" expl="VC for sqrt" proved="true">
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<transf name="split_goal_right" proved="true" >
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<goal name="sqrt'vc.0" expl="postcondition" proved="true">
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<proof prover="9"><result status="valid" time="0.000000" steps="17"/></proof>
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</goal>
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<goal name="sqrt'vc.1" expl="postcondition" proved="true">
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<proof prover="9"><result status="valid" time="0.000000" steps="25"/></proof>
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</goal>
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<goal name="sqrt'vc.2" expl="check division by zero" proved="true">
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<proof prover="9"><result status="valid" time="0.000000" steps="3"/></proof>
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</goal>
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<goal name="sqrt'vc.3" expl="loop invariant init" proved="true">
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<proof prover="9"><result status="valid" time="0.010000" steps="73"/></proof>
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</goal>
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<goal name="sqrt'vc.4" expl="loop invariant init" proved="true">
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<proof prover="9"><result status="valid" time="0.000000" steps="4"/></proof>
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</goal>
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<goal name="sqrt'vc.5" expl="loop invariant init" proved="true">
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<proof prover="5"><result status="valid" time="0.046491" steps="7773"/></proof>
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</goal>
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<goal name="sqrt'vc.6" expl="loop invariant init" proved="true">
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<proof prover="9"><result status="valid" time="0.000000" steps="53"/></proof>
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</goal>
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<goal name="sqrt'vc.7" expl="loop invariant init" proved="true">
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<proof prover="5"><result status="valid" time="0.042609" steps="5408"/></proof>
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</goal>
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<goal name="sqrt'vc.8" expl="check division by zero" proved="true">
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<proof prover="9"><result status="valid" time="0.000000" steps="10"/></proof>
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</goal>
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<goal name="sqrt'vc.9" expl="check division by zero" proved="true">
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<proof prover="9"><result status="valid" time="0.000000" steps="10"/></proof>
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</goal>
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<goal name="sqrt'vc.10" expl="assertion" proved="true">
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<transf name="split_goal_right" proved="true" >
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<goal name="sqrt'vc.10.0" expl="VC for sqrt" proved="true">
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<proof prover="4"><result status="valid" time="0.010000" steps="7782"/></proof>
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<proof prover="7"><result status="valid" time="0.014645" steps="10228"/></proof>
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<proof prover="9" timelimit="5"><result status="valid" time="0.136562" steps="1085"/></proof>
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</goal>
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<goal name="sqrt'vc.10.1" expl="VC for sqrt" proved="true">
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<proof prover="9" timelimit="1"><result status="valid" time="0.030000" steps="1150"/></proof>
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</goal>
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<goal name="sqrt'vc.10.2" expl="VC for sqrt" proved="true">
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<proof prover="9"><result status="valid" time="0.040000" steps="102"/></proof>
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</goal>
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<goal name="sqrt'vc.10.3" expl="VC for sqrt" proved="true">
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<proof prover="9"><result status="valid" time="0.010000" steps="91"/></proof>
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</goal>
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<goal name="sqrt'vc.10.4" expl="VC for sqrt" proved="true">
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<proof prover="9"><result status="valid" time="0.000000" steps="13"/></proof>
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</goal>
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<goal name="sqrt'vc.10.5" expl="VC for sqrt" proved="true">
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<proof prover="9"><result status="valid" time="0.000000" steps="13"/></proof>
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</goal>
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<goal name="sqrt'vc.10.6" expl="VC for sqrt" proved="true">
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<proof prover="9"><result status="valid" time="0.010000" steps="95"/></proof>
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</goal>
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<goal name="sqrt'vc.10.7" expl="VC for sqrt" proved="true">
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<proof prover="9"><result status="valid" time="0.000000" steps="77"/></proof>
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</goal>
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<goal name="sqrt'vc.10.8" expl="VC for sqrt" proved="true">
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<proof prover="9"><result status="valid" time="0.010000" steps="26"/></proof>
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</goal>
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</transf>
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</goal>
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<goal name="sqrt'vc.11" expl="loop variant decrease" proved="true">
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<proof prover="9"><result status="valid" time="0.000000" steps="10"/></proof>
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</goal>
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<goal name="sqrt'vc.12" expl="loop invariant preservation" proved="true">
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<proof prover="9"><result status="valid" time="0.100000" steps="106"/></proof>
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</goal>
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<goal name="sqrt'vc.13" expl="loop invariant preservation" proved="true">
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<proof prover="9"><result status="valid" time="0.000000" steps="10"/></proof>
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</goal>
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<goal name="sqrt'vc.14" expl="loop invariant preservation" proved="true">
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<proof prover="9"><result status="valid" time="0.000000" steps="0"/></proof>
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</goal>
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<goal name="sqrt'vc.15" expl="loop invariant preservation" proved="true">
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<proof prover="9"><result status="valid" time="0.000000" steps="10"/></proof>
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</goal>
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<goal name="sqrt'vc.16" expl="loop invariant preservation" proved="true">
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<proof prover="9"><result status="valid" time="0.000000" steps="10"/></proof>
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</goal>
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<goal name="sqrt'vc.17" expl="assertion" proved="true">
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<proof prover="9"><result status="valid" time="0.020000" steps="373"/></proof>
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</goal>
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<goal name="sqrt'vc.18" expl="postcondition" proved="true">
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<proof prover="2"><result status="valid" time="0.060000" steps="4132"/></proof>
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<proof prover="7"><result status="valid" time="0.018463" steps="9877"/></proof>
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<proof prover="9" timelimit="5"><result status="valid" time="0.044753" steps="445"/></proof>
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</goal>
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</transf>
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</goal>
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</theory>
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</file>
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</why3session>
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