mirror of
https://github.com/AdaCore/why3.git
synced 2026-02-12 12:34:55 -08:00
534 lines
27 KiB
XML
534 lines
27 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="1" name="CVC4" version="1.5" timelimit="5" steplimit="0" memlimit="1000"/>
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<prover id="2" name="Z3" version="4.11.0" timelimit="5" steplimit="0" memlimit="1000"/>
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<prover id="3" name="Z3" version="4.4.1" timelimit="5" steplimit="0" memlimit="1000"/>
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<prover id="4" name="Alt-Ergo" version="2.0.0" timelimit="5" steplimit="0" memlimit="1000"/>
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<prover id="5" name="Z3" version="4.12.2" timelimit="5" steplimit="0" memlimit="1000"/>
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<prover id="7" name="CVC4" version="1.8" timelimit="1" steplimit="0" memlimit="1000"/>
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<prover id="8" name="Alt-Ergo" version="2.6.0" timelimit="1" steplimit="0" memlimit="1000"/>
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<prover id="9" name="CVC5" version="1.0.5" timelimit="1" steplimit="0" memlimit="1000"/>
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<file format="whyml" proved="true">
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<path name=".."/><path name="priority_queue.mlw"/>
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<theory name="PQueue" proved="true">
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<goal name="balancing'vc" expl="VC for balancing" proved="true">
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<proof prover="8"><result status="valid" time="0.010000" steps="5"/></proof>
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</goal>
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<goal name="M.assoc_m'vc" expl="VC for assoc_m" proved="true">
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<transf name="split_goal_right" proved="true" >
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<goal name="assoc_m'vc.0" expl="assertion" proved="true">
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<proof prover="1"><result status="valid" time="0.030000" steps="11355"/></proof>
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</goal>
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<goal name="assoc_m'vc.1" expl="assertion" proved="true">
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<proof prover="1"><result status="valid" time="0.030000" steps="11355"/></proof>
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</goal>
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<goal name="assoc_m'vc.2" expl="assertion" proved="true">
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<proof prover="1"><result status="valid" time="0.030000" steps="11355"/></proof>
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</goal>
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<goal name="assoc_m'vc.3" expl="assertion" proved="true">
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<proof prover="1"><result status="valid" time="0.030000" steps="11355"/></proof>
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</goal>
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<goal name="assoc_m'vc.4" expl="assertion" proved="true">
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<proof prover="1"><result status="valid" time="0.030000" steps="11355"/></proof>
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</goal>
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<goal name="assoc_m'vc.5" expl="assertion" proved="true">
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<proof prover="1"><result status="valid" time="0.030000" steps="11355"/></proof>
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</goal>
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<goal name="assoc_m'vc.6" expl="assertion" proved="true">
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<proof prover="1"><result status="valid" time="0.030000" steps="11355"/></proof>
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</goal>
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<goal name="assoc_m'vc.7" expl="postcondition" proved="true">
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<transf name="split_goal_right" proved="true" >
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<goal name="assoc_m'vc.7.0" expl="postcondition" proved="true">
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<proof prover="1"><result status="valid" time="0.060000" steps="12325"/></proof>
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</goal>
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<goal name="assoc_m'vc.7.1" expl="postcondition" proved="true">
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<proof prover="1"><result status="valid" time="0.060000" steps="12580"/></proof>
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</goal>
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<goal name="assoc_m'vc.7.2" expl="postcondition" proved="true">
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<proof prover="1"><result status="valid" time="0.060000" steps="12596"/></proof>
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</goal>
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<goal name="assoc_m'vc.7.3" expl="postcondition" proved="true">
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<proof prover="1"><result status="valid" time="0.050000" steps="13175"/></proof>
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</goal>
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<goal name="assoc_m'vc.7.4" expl="postcondition" proved="true">
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<proof prover="1"><result status="valid" time="0.060000" steps="12589"/></proof>
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</goal>
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<goal name="assoc_m'vc.7.5" expl="postcondition" proved="true">
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<proof prover="1"><result status="valid" time="0.060000" steps="12620"/></proof>
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</goal>
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<goal name="assoc_m'vc.7.6" expl="postcondition" proved="true">
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<proof prover="1"><result status="valid" time="0.030000" steps="12650"/></proof>
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</goal>
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<goal name="assoc_m'vc.7.7" expl="postcondition" proved="true">
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<proof prover="1"><result status="valid" time="0.060000" steps="17832"/></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="M.neutral_m'vc" expl="VC for neutral_m" proved="true">
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<proof prover="1"><result status="valid" time="0.040000" steps="12606"/></proof>
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</goal>
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<goal name="M.assoc" proved="true">
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<proof prover="8"><result status="valid" time="0.010000" steps="11"/></proof>
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</goal>
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<goal name="M.neutral" proved="true">
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<proof prover="8"><result status="valid" time="0.010000" steps="17"/></proof>
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</goal>
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<goal name="M.M.assoc" proved="true">
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<proof prover="8"><result status="valid" time="0.010000" steps="11"/></proof>
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</goal>
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<goal name="M.M.neutral" proved="true">
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<proof prover="8"><result status="valid" time="0.010000" steps="17"/></proof>
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</goal>
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<goal name="M.zero'vc" expl="VC for zero" proved="true">
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<proof prover="8"><result status="valid" time="0.010000" steps="6"/></proof>
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</goal>
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<goal name="M.op'vc" expl="VC for op" proved="true">
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<proof prover="8" timelimit="5"><result status="valid" time="0.010000" steps="105"/></proof>
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</goal>
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<goal name="monoid_sum_is_min'vc" expl="VC for monoid_sum_is_min" proved="true">
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<transf name="split_goal_right" proved="true" >
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<goal name="monoid_sum_is_min'vc.0" expl="precondition" proved="true">
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<proof prover="8"><result status="valid" time="0.010000" steps="12"/></proof>
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</goal>
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<goal name="monoid_sum_is_min'vc.1" expl="variant decrease" proved="true">
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<proof prover="8"><result status="valid" time="0.020000" steps="30"/></proof>
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</goal>
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<goal name="monoid_sum_is_min'vc.2" expl="assertion" proved="true">
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<proof prover="8"><result status="valid" time="0.010000" steps="17"/></proof>
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</goal>
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<goal name="monoid_sum_is_min'vc.3" expl="assertion" proved="true">
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<proof prover="8"><result status="valid" time="0.020000" steps="131"/></proof>
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</goal>
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<goal name="monoid_sum_is_min'vc.4" expl="postcondition" proved="true">
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<transf name="split_goal_right" proved="true" >
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<goal name="monoid_sum_is_min'vc.4.0" expl="VC for monoid_sum_is_min" proved="true">
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<proof prover="1"><result status="valid" time="0.090000" steps="28274"/></proof>
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</goal>
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<goal name="monoid_sum_is_min'vc.4.1" expl="VC for monoid_sum_is_min" proved="true">
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<proof prover="1"><result status="valid" time="2.016285" steps="154136"/></proof>
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</goal>
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<goal name="monoid_sum_is_min'vc.4.2" expl="VC for monoid_sum_is_min" proved="true">
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<proof prover="1"><result status="valid" time="0.100000" steps="29883"/></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="selected_is_min'vc" expl="VC for selected_is_min" proved="true">
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<transf name="split_goal_right" proved="true" >
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<goal name="selected_is_min'vc.0" expl="unreachable point" proved="true">
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<proof prover="8"><result status="valid" time="0.010000" steps="12"/></proof>
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</goal>
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<goal name="selected_is_min'vc.1" expl="assertion" proved="true">
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<transf name="split_goal_right" proved="true" >
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<goal name="selected_is_min'vc.1.0" expl="assertion" proved="true">
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<proof prover="9" timelimit="5"><result status="valid" time="0.312939" steps="26374"/></proof>
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</goal>
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<goal name="selected_is_min'vc.1.1" expl="assertion" proved="true">
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<proof prover="1"><result status="valid" time="0.840000" steps="129181"/></proof>
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</goal>
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<goal name="selected_is_min'vc.1.2" expl="assertion" proved="true">
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<proof prover="1"><result status="valid" time="0.411029" steps="60634"/></proof>
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</goal>
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<goal name="selected_is_min'vc.1.3" expl="assertion" proved="true">
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<proof prover="8"><result status="valid" time="0.020000" steps="13"/></proof>
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</goal>
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</transf>
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</goal>
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<goal name="selected_is_min'vc.2" expl="postcondition" proved="true">
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<proof prover="8"><result status="valid" time="0.010000" steps="76"/></proof>
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</goal>
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</transf>
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</goal>
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<goal name="selected_part'vc" expl="VC for selected_part" proved="true">
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<transf name="split_goal_right" proved="true" >
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<goal name="selected_part'vc.0" expl="postcondition" proved="true">
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<transf name="split_goal_right" proved="true" >
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<goal name="selected_part'vc.0.0" expl="VC for selected_part" proved="true">
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<proof prover="8"><result status="valid" time="0.200000" steps="1472"/></proof>
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</goal>
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<goal name="selected_part'vc.0.1" expl="VC for selected_part" proved="true">
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<proof prover="8"><result status="valid" time="0.030000" steps="193"/></proof>
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</goal>
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<goal name="selected_part'vc.0.2" expl="VC for selected_part" proved="true">
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<proof prover="8"><result status="valid" time="0.020000" steps="25"/></proof>
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</goal>
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<goal name="selected_part'vc.0.3" expl="VC for selected_part" proved="true">
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<proof prover="8"><result status="valid" time="0.060000" steps="79"/></proof>
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</goal>
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<goal name="selected_part'vc.0.4" expl="VC for selected_part" proved="true">
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<proof prover="8"><result status="valid" time="0.030000" steps="142"/></proof>
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</goal>
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<goal name="selected_part'vc.0.5" expl="VC for selected_part" proved="true">
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<proof prover="8"><result status="valid" time="0.020000" steps="25"/></proof>
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</goal>
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<goal name="selected_part'vc.0.6" expl="VC for selected_part" proved="true">
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<proof prover="8"><result status="valid" time="0.090000" steps="79"/></proof>
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</goal>
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<goal name="selected_part'vc.0.7" expl="VC for selected_part" proved="true">
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<proof prover="8"><result status="valid" time="0.875773" steps="8104"/></proof>
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</goal>
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<goal name="selected_part'vc.0.8" expl="VC for selected_part" proved="true">
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<proof prover="8"><result status="valid" time="0.030000" steps="87"/></proof>
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</goal>
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<goal name="selected_part'vc.0.9" expl="VC for selected_part" proved="true">
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<proof prover="4"><result status="valid" time="0.141585" steps="1140"/></proof>
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</goal>
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<goal name="selected_part'vc.0.10" expl="VC for selected_part" proved="true">
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<proof prover="8"><result status="valid" time="0.788370" steps="8988"/></proof>
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</goal>
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<goal name="selected_part'vc.0.11" expl="VC for selected_part" proved="true">
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<proof prover="8"><result status="valid" time="0.020000" steps="84"/></proof>
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</goal>
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<goal name="selected_part'vc.0.12" expl="VC for selected_part" proved="true">
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<transf name="split_vc" proved="true" >
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<goal name="selected_part'vc.0.12.0" expl="VC for selected_part" proved="true">
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<proof prover="9"><result status="valid" time="0.040000" steps="12453"/></proof>
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</goal>
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<goal name="selected_part'vc.0.12.1" expl="VC for selected_part" proved="true">
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<proof prover="9"><result status="valid" time="0.050000" steps="13047"/></proof>
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</goal>
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<goal name="selected_part'vc.0.12.2" expl="VC for selected_part" proved="true">
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<transf name="split_vc" proved="true" >
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<goal name="selected_part'vc.0.12.2.0" expl="VC for selected_part" proved="true">
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<proof prover="8" timelimit="5" memlimit="2000"><result status="valid" time="0.020000" steps="44"/></proof>
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</goal>
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<goal name="selected_part'vc.0.12.2.1" expl="VC for selected_part" proved="true">
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<proof prover="9" timelimit="5" memlimit="2000"><result status="valid" time="4.781136" steps="356555"/></proof>
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</goal>
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</transf>
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</goal>
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<goal name="selected_part'vc.0.12.3" expl="VC for selected_part" proved="true">
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<transf name="split_vc" proved="true" >
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<goal name="selected_part'vc.0.12.3.0" expl="VC for selected_part" proved="true">
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<transf name="split_vc" proved="true" >
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<goal name="selected_part'vc.0.12.3.0.0" expl="VC for selected_part" proved="true">
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<transf name="inline_goal" proved="true" >
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<goal name="selected_part'vc.0.12.3.0.0.0" expl="VC for selected_part" proved="true">
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<transf name="split_all_full" proved="true" >
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<goal name="selected_part'vc.0.12.3.0.0.0.0" expl="VC for selected_part" proved="true">
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<proof prover="7"><result status="valid" time="0.180000" steps="26701"/></proof>
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</goal>
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<goal name="selected_part'vc.0.12.3.0.0.0.1" expl="VC for selected_part" proved="true">
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<proof prover="8"><result status="valid" time="0.030000" steps="56"/></proof>
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</goal>
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<goal name="selected_part'vc.0.12.3.0.0.0.2" expl="VC for selected_part" proved="true">
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<proof prover="8"><result status="valid" time="0.020000" steps="56"/></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="selected_part'vc.0.12.3.0.1" expl="VC for selected_part" proved="true">
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<proof prover="7"><result status="valid" time="0.140000" steps="22543"/></proof>
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</goal>
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</transf>
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</goal>
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<goal name="selected_part'vc.0.12.3.1" expl="VC for selected_part" proved="true">
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<transf name="split_vc" proved="true" >
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<goal name="selected_part'vc.0.12.3.1.0" expl="VC for selected_part" proved="true">
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<proof prover="9"><result status="valid" time="0.050000" steps="12518"/></proof>
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</goal>
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<goal name="selected_part'vc.0.12.3.1.1" expl="VC for selected_part" proved="true">
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<transf name="inline_goal" proved="true" >
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<goal name="selected_part'vc.0.12.3.1.1.0" expl="VC for selected_part" proved="true">
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<transf name="split_all_full" proved="true" >
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<goal name="selected_part'vc.0.12.3.1.1.0.0" expl="VC for selected_part" proved="true">
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<proof prover="9"><result status="valid" time="0.080000" steps="17772"/></proof>
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</goal>
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<goal name="selected_part'vc.0.12.3.1.1.0.1" expl="VC for selected_part" proved="true">
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<proof prover="9"><result status="valid" time="0.048445" steps="18134"/></proof>
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</goal>
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<goal name="selected_part'vc.0.12.3.1.1.0.2" expl="VC for selected_part" proved="true">
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<proof prover="8" timelimit="5"><result status="valid" time="0.332350" steps="4591"/></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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</transf>
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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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</transf>
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</goal>
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</transf>
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</goal>
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<goal name="Sel.M.assoc" proved="true">
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<proof prover="8"><result status="valid" time="0.020000" steps="12"/></proof>
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</goal>
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<goal name="Sel.M.neutral" proved="true">
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<proof prover="8"><result status="valid" time="0.010000" steps="18"/></proof>
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</goal>
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<goal name="Sel.M.zero'refn'vc" expl="VC for zero'refn" proved="true">
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<proof prover="8"><result status="valid" time="0.010000" steps="6"/></proof>
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</goal>
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<goal name="Sel.M.op'refn'vc" expl="VC for op'refn" proved="true">
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<proof prover="8"><result status="valid" time="0.010000" steps="6"/></proof>
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</goal>
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<goal name="Sel.M.agg_empty" proved="true">
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<proof prover="8"><result status="valid" time="0.010000" steps="11"/></proof>
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</goal>
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<goal name="Sel.M.agg_sing" proved="true">
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<proof prover="1"><result status="valid" time="0.080000" steps="20871"/></proof>
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</goal>
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<goal name="Sel.M.agg_cat" proved="true">
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<proof prover="8"><result status="valid" time="0.020000" steps="13"/></proof>
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</goal>
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<goal name="Sel.balancing'refn'vc" expl="VC for balancing'refn" proved="true">
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<proof prover="8"><result status="valid" time="0.020000" steps="6"/></proof>
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</goal>
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<goal name="Sel.selection_empty" proved="true">
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<proof prover="8"><result status="valid" time="0.020000" steps="15"/></proof>
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</goal>
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<goal name="Sel.selected_part'refn'vc" expl="VC for selected_part'refn" proved="true">
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<proof prover="8"><result status="valid" time="0.040000" steps="6"/></proof>
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</goal>
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<goal name="to_bag'vc" expl="VC for to_bag" proved="true">
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<proof prover="8"><result status="valid" time="0.010000" steps="6"/></proof>
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</goal>
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<goal name="to_bag_mem'vc" expl="VC for to_bag_mem" proved="true">
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<transf name="split_goal_right" proved="true" >
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<goal name="to_bag_mem'vc.0" expl="assertion" proved="true">
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<transf name="split_goal_right" proved="true" >
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<goal name="to_bag_mem'vc.0.0" expl="assertion" proved="true">
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<proof prover="8"><result status="valid" time="0.030000" steps="177"/></proof>
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</goal>
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<goal name="to_bag_mem'vc.0.1" expl="assertion" proved="true">
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<proof prover="8"><result status="valid" time="0.030000" steps="317"/></proof>
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</goal>
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<goal name="to_bag_mem'vc.0.2" expl="assertion" proved="true">
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<proof prover="8"><result status="valid" time="0.040000" steps="553"/></proof>
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</goal>
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<goal name="to_bag_mem'vc.0.3" expl="VC for to_bag_mem" proved="true">
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<proof prover="8"><result status="valid" time="0.240000" steps="2051"/></proof>
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</goal>
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</transf>
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</goal>
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<goal name="to_bag_mem'vc.1" expl="postcondition" proved="true">
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<proof prover="8" timelimit="10"><result status="valid" time="0.729002" steps="4876"/></proof>
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</goal>
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</transf>
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</goal>
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<goal name="get_minimum_index'vc" expl="VC for get_minimum_index" proved="true">
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<transf name="split_goal_right" proved="true" >
|
|
<goal name="get_minimum_index'vc.0" expl="loop invariant init" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.040000" steps="49"/></proof>
|
|
</goal>
|
|
<goal name="get_minimum_index'vc.1" expl="loop invariant init" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.020000" steps="35"/></proof>
|
|
</goal>
|
|
<goal name="get_minimum_index'vc.2" expl="loop invariant init" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.020000" steps="11"/></proof>
|
|
</goal>
|
|
<goal name="get_minimum_index'vc.3" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.170000" steps="554"/></proof>
|
|
</goal>
|
|
<goal name="get_minimum_index'vc.4" expl="loop invariant preservation" proved="true">
|
|
<proof prover="8" timelimit="5"><result status="valid" time="0.274302" steps="4240"/></proof>
|
|
</goal>
|
|
<goal name="get_minimum_index'vc.5" expl="loop invariant preservation" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.030000" steps="522"/></proof>
|
|
</goal>
|
|
<goal name="get_minimum_index'vc.6" expl="loop invariant preservation" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.020000" steps="38"/></proof>
|
|
</goal>
|
|
<goal name="get_minimum_index'vc.7" expl="loop invariant preservation" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.030000" steps="38"/></proof>
|
|
</goal>
|
|
<goal name="get_minimum_index'vc.8" expl="loop invariant preservation" proved="true">
|
|
<proof prover="8" timelimit="5"><result status="valid" time="0.127937" steps="1791"/></proof>
|
|
</goal>
|
|
<goal name="get_minimum_index'vc.9" expl="loop invariant preservation" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.030000" steps="38"/></proof>
|
|
</goal>
|
|
<goal name="get_minimum_index'vc.10" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.183299" steps="1790"/></proof>
|
|
</goal>
|
|
<goal name="get_minimum_index'vc.11" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.040000" steps="18"/></proof>
|
|
</goal>
|
|
<goal name="get_minimum_index'vc.12" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.050000" steps="136"/></proof>
|
|
</goal>
|
|
<goal name="get_minimum_index'vc.13" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.030000" steps="18"/></proof>
|
|
</goal>
|
|
<goal name="get_minimum_index'vc.14" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.030000" steps="40"/></proof>
|
|
</goal>
|
|
<goal name="get_minimum_index'vc.15" expl="out of loop bounds" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.020000" steps="16"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="split_gives_minimum'vc" expl="VC for split_gives_minimum" proved="true">
|
|
<transf name="split_goal_right" proved="true" >
|
|
<goal name="split_gives_minimum'vc.0" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.030000" steps="390"/></proof>
|
|
</goal>
|
|
<goal name="split_gives_minimum'vc.1" expl="unreachable point" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.030000" steps="22"/></proof>
|
|
</goal>
|
|
<goal name="split_gives_minimum'vc.2" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.110000" steps="325"/></proof>
|
|
</goal>
|
|
<goal name="split_gives_minimum'vc.3" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.150000" steps="268"/></proof>
|
|
</goal>
|
|
<goal name="split_gives_minimum'vc.4" expl="assertion" proved="true">
|
|
<proof prover="1"><result status="valid" time="0.750000" steps="125903"/></proof>
|
|
</goal>
|
|
<goal name="split_gives_minimum'vc.5" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.074104" steps="621"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="correction'vc" expl="VC for correction" proved="true">
|
|
<transf name="split_goal_right" proved="true" >
|
|
<goal name="correction'vc.0" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.030000" steps="18"/></proof>
|
|
</goal>
|
|
<goal name="correction'vc.1" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.067484" steps="510"/></proof>
|
|
</goal>
|
|
<goal name="correction'vc.2" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.030000" steps="205"/></proof>
|
|
</goal>
|
|
<goal name="correction'vc.3" expl="postcondition" proved="true">
|
|
<proof prover="5"><result status="valid" time="0.060629" steps="149831"/></proof>
|
|
</goal>
|
|
<goal name="correction'vc.4" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.031779" steps="111"/></proof>
|
|
</goal>
|
|
<goal name="correction'vc.5" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.040000" steps="26"/></proof>
|
|
</goal>
|
|
<goal name="correction'vc.6" expl="postcondition" proved="true">
|
|
<proof prover="2"><result status="valid" time="0.040000" steps="104770"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="empty'vc" expl="VC for empty" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.020000" steps="56"/></proof>
|
|
</goal>
|
|
<goal name="singleton'vc" expl="VC for singleton" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.030000" steps="254"/></proof>
|
|
</goal>
|
|
<goal name="is_empty'vc" expl="VC for is_empty" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.040000" steps="146"/></proof>
|
|
</goal>
|
|
<goal name="merge'vc" expl="VC for merge" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.107007" steps="664"/></proof>
|
|
</goal>
|
|
<goal name="remove_count'vc" expl="VC for remove_count" proved="true">
|
|
<transf name="split_goal_right" proved="true" >
|
|
<goal name="remove_count'vc.0" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.030000" steps="140"/></proof>
|
|
</goal>
|
|
<goal name="remove_count'vc.1" expl="postcondition" proved="true">
|
|
<proof prover="1" timelimit="10"><result status="valid" time="0.949432" steps="181075"/></proof>
|
|
</goal>
|
|
<goal name="remove_count'vc.2" expl="postcondition" proved="true">
|
|
<proof prover="1" timelimit="10"><result status="valid" time="0.213907" steps="49958"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="extract_min'vc" expl="VC for extract_min" proved="true">
|
|
<transf name="split_goal_right" proved="true" >
|
|
<goal name="extract_min'vc.0" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.040000" steps="53"/></proof>
|
|
</goal>
|
|
<goal name="extract_min'vc.1" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.020000" steps="16"/></proof>
|
|
</goal>
|
|
<goal name="extract_min'vc.2" expl="unreachable point" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.030000" steps="33"/></proof>
|
|
</goal>
|
|
<goal name="extract_min'vc.3" expl="postcondition" proved="true">
|
|
<transf name="split_goal_right" proved="true" >
|
|
<goal name="extract_min'vc.3.0" expl="VC for extract_min" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.120000" steps="48"/></proof>
|
|
</goal>
|
|
<goal name="extract_min'vc.3.1" expl="VC for extract_min" proved="true">
|
|
<proof prover="3"><result status="valid" time="0.060000"/></proof>
|
|
</goal>
|
|
<goal name="extract_min'vc.3.2" expl="VC for extract_min" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.030000" steps="468"/></proof>
|
|
</goal>
|
|
<goal name="extract_min'vc.3.3" expl="VC for extract_min" proved="true">
|
|
<proof prover="3"><result status="valid" time="0.060000"/></proof>
|
|
</goal>
|
|
<goal name="extract_min'vc.3.4" expl="VC for extract_min" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.060000" steps="428"/></proof>
|
|
</goal>
|
|
<goal name="extract_min'vc.3.5" expl="VC for extract_min" proved="true">
|
|
<proof prover="7" timelimit="5"><result status="valid" time="0.303851" steps="47577"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="min'vc" expl="VC for min" proved="true">
|
|
<transf name="split_goal_right" proved="true" >
|
|
<goal name="min'vc.0" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.020000" steps="18"/></proof>
|
|
</goal>
|
|
<goal name="min'vc.1" expl="unreachable point" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.030000" steps="22"/></proof>
|
|
</goal>
|
|
<goal name="min'vc.2" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.150000" steps="322"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="pop_min'vc" expl="VC for pop_min" proved="true">
|
|
<transf name="split_goal_right" proved="true" >
|
|
<goal name="pop_min'vc.0" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.020000" steps="18"/></proof>
|
|
</goal>
|
|
<goal name="pop_min'vc.1" expl="unreachable point" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.030000" steps="29"/></proof>
|
|
</goal>
|
|
<goal name="pop_min'vc.2" expl="precondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.030000" steps="24"/></proof>
|
|
</goal>
|
|
<goal name="pop_min'vc.3" expl="postcondition" proved="true">
|
|
<transf name="split_goal_right" proved="true" >
|
|
<goal name="pop_min'vc.3.0" expl="VC for pop_min" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.120000" steps="409"/></proof>
|
|
</goal>
|
|
<goal name="pop_min'vc.3.1" expl="VC for pop_min" proved="true">
|
|
<proof prover="8" timelimit="20"><result status="valid" time="0.266103" steps="2830"/></proof>
|
|
</goal>
|
|
<goal name="pop_min'vc.3.2" expl="VC for pop_min" proved="true">
|
|
<proof prover="8" timelimit="5"><result status="valid" time="0.298205" steps="3241"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
<goal name="add'vc" expl="VC for add" proved="true">
|
|
<transf name="split_goal_right" proved="true" >
|
|
<goal name="add'vc.0" expl="assertion" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.030000" steps="159"/></proof>
|
|
</goal>
|
|
<goal name="add'vc.1" expl="postcondition" proved="true">
|
|
<proof prover="8" timelimit="20"><result status="valid" time="0.270871" steps="3422"/></proof>
|
|
</goal>
|
|
<goal name="add'vc.2" expl="postcondition" proved="true">
|
|
<proof prover="8"><result status="valid" time="0.020000" steps="39"/></proof>
|
|
</goal>
|
|
</transf>
|
|
</goal>
|
|
</theory>
|
|
</file>
|
|
</why3session>
|