mirror of
https://github.com/AdaCore/why3.git
synced 2026-02-12 12:34:55 -08:00
267 lines
15 KiB
XML
267 lines
15 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="1.5" timelimit="1" steplimit="0" memlimit="1000"/>
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<prover id="1" name="Coq" version="8.19.2" timelimit="5" steplimit="0" memlimit="1000"/>
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<prover id="2" name="Z3" version="4.12.2" timelimit="1" steplimit="0" memlimit="1000"/>
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<prover id="3" name="Alt-Ergo" version="2.6.0" timelimit="5" steplimit="0" memlimit="1000"/>
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<prover id="4" name="Eprover" version="2.0" timelimit="5" steplimit="0" memlimit="1000"/>
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<prover id="5" name="Alt-Ergo" version="2.0.0" timelimit="5" steplimit="0" memlimit="1000"/>
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<prover id="6" name="CVC4" version="1.6" timelimit="1" steplimit="0" memlimit="1000"/>
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<prover id="8" name="Alt-Ergo" version="2.3.3" timelimit="5" steplimit="0" memlimit="1000"/>
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<file format="whyml" proved="true">
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<path name=".."/><path name="kmp.mlw"/>
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<theory name="KnuthMorrisPratt" proved="true">
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<goal name="matches_empty" proved="true">
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<proof prover="0"><result status="valid" time="0.020000" steps="2894"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="16"/></proof>
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</goal>
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<goal name="matches_right_extension" proved="true">
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<proof prover="3" timelimit="1"><result status="valid" time="0.010000" steps="36"/></proof>
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</goal>
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<goal name="matches_contradiction_at_first" proved="true">
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<proof prover="4"><result status="valid" time="0.040000"/></proof>
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</goal>
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<goal name="matches_contradiction_at_i" proved="true">
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<proof prover="2"><result status="valid" time="0.010000" steps="10913"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="30"/></proof>
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</goal>
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<goal name="matches_right_weakening" proved="true">
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<proof prover="2"><result status="valid" time="0.040000" steps="62971"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="86"/></proof>
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</goal>
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<goal name="matches_left_weakening" proved="true">
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<proof prover="1"><path name="kmp_WP_KnuthMorrisPratt_matches_left_weakening_1.v"/><result status="valid" time="0.286662"/></proof>
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</goal>
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<goal name="matches_sym" proved="true">
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<proof prover="0"><result status="valid" time="0.020000" steps="3820"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="31"/></proof>
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</goal>
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<goal name="matches_trans" proved="true">
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<proof prover="3" timelimit="1"><result status="valid" time="0.000000" steps="52"/></proof>
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</goal>
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<goal name="next_iteration" proved="true">
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<proof prover="0"><result status="valid" time="0.050000" steps="13698"/></proof>
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<proof prover="2" timelimit="5"><result status="valid" time="0.152996" steps="240406"/></proof>
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</goal>
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<goal name="next_is_maximal" proved="true">
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<proof prover="1"><path name="kmp_WP_KnuthMorrisPratt_next_is_maximal_1.v"/><result status="valid" time="0.309569"/></proof>
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</goal>
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<goal name="next_1_0" proved="true">
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<proof prover="0"><result status="valid" time="0.010000" steps="5199"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="20"/></proof>
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</goal>
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<goal name="initnext'vc" expl="VC for initnext" proved="true">
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<transf name="split_goal_right" proved="true" >
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<goal name="initnext'vc.0" expl="array creation size" proved="true">
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<proof prover="0"><result status="valid" time="0.020000" steps="4824"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="2"/></proof>
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</goal>
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<goal name="initnext'vc.1" expl="index in array bounds" proved="true">
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<proof prover="0"><result status="valid" time="0.020000" steps="5871"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="6"/></proof>
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</goal>
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<goal name="initnext'vc.2" expl="loop invariant init" proved="true">
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<proof prover="0"><result status="valid" time="0.010000" steps="5587"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="6"/></proof>
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</goal>
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<goal name="initnext'vc.3" expl="loop invariant init" proved="true">
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<proof prover="0"><result status="valid" time="0.020000" steps="6521"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="26"/></proof>
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</goal>
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<goal name="initnext'vc.4" expl="loop invariant init" proved="true">
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<proof prover="0"><result status="valid" time="0.010000" steps="5601"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="22"/></proof>
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</goal>
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<goal name="initnext'vc.5" expl="loop invariant init" proved="true">
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<proof prover="3" timelimit="1"><result status="valid" time="0.000000" steps="45"/></proof>
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</goal>
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<goal name="initnext'vc.6" expl="index in array bounds" proved="true">
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<proof prover="0"><result status="valid" time="0.020000" steps="7508"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="22"/></proof>
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</goal>
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<goal name="initnext'vc.7" expl="index in array bounds" proved="true">
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<proof prover="0"><result status="valid" time="0.020000" steps="7504"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="34"/></proof>
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</goal>
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<goal name="initnext'vc.8" expl="index in array bounds" proved="true">
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<proof prover="0"><result status="valid" time="0.030000" steps="7966"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="36"/></proof>
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</goal>
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<goal name="initnext'vc.9" expl="loop variant decrease" proved="true">
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<proof prover="0"><result status="valid" time="0.010000" steps="6515"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="25"/></proof>
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</goal>
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<goal name="initnext'vc.10" expl="loop invariant preservation" proved="true">
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<proof prover="0"><result status="valid" time="0.020000" steps="8470"/></proof>
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<proof prover="3"><result status="valid" time="0.010000" steps="40"/></proof>
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</goal>
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<goal name="initnext'vc.11" expl="loop invariant preservation" proved="true">
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<proof prover="0"><result status="valid" time="0.020000" steps="9525"/></proof>
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<proof prover="3"><result status="valid" time="0.010000" steps="74"/></proof>
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</goal>
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<goal name="initnext'vc.12" expl="loop invariant preservation" proved="true">
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<transf name="introduce_premises" proved="true" >
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<goal name="initnext'vc.12.0" expl="loop invariant preservation" proved="true">
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<transf name="instantiate" proved="true" arg1="LoopInvariant3" arg2="(z-1)">
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<goal name="initnext'vc.12.0.0" expl="loop invariant preservation" proved="true">
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<proof prover="6"><result status="valid" time="0.040000" steps="8057"/></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="initnext'vc.13" expl="loop invariant preservation" proved="true">
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<proof prover="5"><result status="valid" time="0.188990" steps="569"/></proof>
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</goal>
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<goal name="initnext'vc.14" expl="index in array bounds" proved="true">
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<proof prover="0"><result status="valid" time="0.020000" steps="7855"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="35"/></proof>
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</goal>
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<goal name="initnext'vc.15" expl="loop variant decrease" proved="true">
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<proof prover="0"><result status="valid" time="0.010000" steps="6361"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="24"/></proof>
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</goal>
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<goal name="initnext'vc.16" expl="loop invariant preservation" proved="true">
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<proof prover="0"><result status="valid" time="0.010000" steps="8264"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="39"/></proof>
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</goal>
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<goal name="initnext'vc.17" expl="loop invariant preservation" proved="true">
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<proof prover="0"><result status="valid" time="0.020000" steps="9219"/></proof>
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<proof prover="3"><result status="valid" time="0.010000" steps="63"/></proof>
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</goal>
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<goal name="initnext'vc.18" expl="loop invariant preservation" proved="true">
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<proof prover="1"><path name="kmp_KnuthMorrisPratt_VC_initnext_1.v"/><result status="valid" time="0.377737"/></proof>
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</goal>
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<goal name="initnext'vc.19" expl="loop invariant preservation" proved="true">
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<proof prover="8"><result status="valid" time="1.108876" steps="3118"/></proof>
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</goal>
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<goal name="initnext'vc.20" expl="index in array bounds" proved="true">
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<proof prover="0"><result status="valid" time="0.020000" steps="7847"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="24"/></proof>
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</goal>
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<goal name="initnext'vc.21" expl="loop variant decrease" proved="true">
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<proof prover="0"><result status="valid" time="0.030000" steps="9914"/></proof>
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<proof prover="3"><result status="valid" time="0.010000" steps="70"/></proof>
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</goal>
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<goal name="initnext'vc.22" expl="loop invariant preservation" proved="true">
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<proof prover="0"><result status="valid" time="0.020000" steps="10002"/></proof>
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<proof prover="3"><result status="valid" time="0.010000" steps="79"/></proof>
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</goal>
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<goal name="initnext'vc.23" expl="loop invariant preservation" proved="true">
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<proof prover="0"><result status="valid" time="0.260000" steps="53316"/></proof>
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<proof prover="3"><result status="valid" time="0.030000" steps="67"/></proof>
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</goal>
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<goal name="initnext'vc.24" expl="loop invariant preservation" proved="true">
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<proof prover="1"><path name="kmp_KnuthMorrisPratt_VC_initnext_2.v"/><result status="valid" time="0.463923"/></proof>
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</goal>
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<goal name="initnext'vc.25" expl="loop invariant preservation" proved="true">
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<proof prover="0"><result status="valid" time="0.040000" steps="12824"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="62"/></proof>
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</goal>
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<goal name="initnext'vc.26" expl="postcondition" proved="true">
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<proof prover="0"><result status="valid" time="0.030000" steps="8680"/></proof>
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<proof prover="3"><result status="valid" time="0.010000" steps="90"/></proof>
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</goal>
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<goal name="initnext'vc.27" expl="postcondition" proved="true">
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<proof prover="0"><result status="valid" time="0.020000" steps="6076"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="14"/></proof>
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</goal>
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</transf>
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</goal>
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<goal name="kmp'vc" expl="VC for kmp" proved="true">
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<transf name="split_goal_right" proved="true" >
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<goal name="kmp'vc.0" expl="precondition" proved="true">
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<proof prover="0"><result status="valid" time="0.010000" steps="4550"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="0"/></proof>
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</goal>
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<goal name="kmp'vc.1" expl="loop invariant init" proved="true">
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<proof prover="0"><result status="valid" time="0.020000" steps="6333"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="12"/></proof>
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</goal>
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<goal name="kmp'vc.2" expl="loop invariant init" proved="true">
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<proof prover="0"><result status="valid" time="0.020000" steps="6583"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="17"/></proof>
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</goal>
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<goal name="kmp'vc.3" expl="loop invariant init" proved="true">
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<proof prover="0"><result status="valid" time="0.010000" steps="5803"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="18"/></proof>
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</goal>
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<goal name="kmp'vc.4" expl="index in array bounds" proved="true">
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<proof prover="0"><result status="valid" time="0.010000" steps="6840"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="12"/></proof>
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</goal>
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<goal name="kmp'vc.5" expl="index in array bounds" proved="true">
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<proof prover="0"><result status="valid" time="0.020000" steps="6883"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="13"/></proof>
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</goal>
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<goal name="kmp'vc.6" expl="loop variant decrease" proved="true">
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<proof prover="0"><result status="valid" time="0.010000" steps="6515"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="16"/></proof>
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</goal>
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<goal name="kmp'vc.7" expl="loop invariant preservation" proved="true">
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<proof prover="0"><result status="valid" time="0.020000" steps="7419"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="30"/></proof>
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</goal>
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<goal name="kmp'vc.8" expl="loop invariant preservation" proved="true">
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<proof prover="0"><result status="valid" time="0.020000" steps="8392"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="40"/></proof>
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</goal>
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<goal name="kmp'vc.9" expl="loop invariant preservation" proved="true">
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<proof prover="0"><result status="valid" time="0.020000" steps="9452"/></proof>
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<proof prover="3"><result status="valid" time="0.010000" steps="48"/></proof>
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</goal>
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<goal name="kmp'vc.10" expl="loop variant decrease" proved="true">
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<proof prover="0"><result status="valid" time="0.010000" steps="6402"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="14"/></proof>
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</goal>
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<goal name="kmp'vc.11" expl="loop invariant preservation" proved="true">
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<proof prover="0"><result status="valid" time="0.030000" steps="7432"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="27"/></proof>
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</goal>
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<goal name="kmp'vc.12" expl="loop invariant preservation" proved="true">
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<proof prover="0"><result status="valid" time="0.020000" steps="8304"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="33"/></proof>
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</goal>
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<goal name="kmp'vc.13" expl="loop invariant preservation" proved="true">
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<proof prover="0"><result status="valid" time="0.080000" steps="9215"/></proof>
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<proof prover="3"><result status="valid" time="0.010000" steps="55"/></proof>
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</goal>
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<goal name="kmp'vc.14" expl="index in array bounds" proved="true">
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<proof prover="0"><result status="valid" time="0.020000" steps="7344"/></proof>
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<proof prover="3"><result status="valid" time="0.000000" steps="13"/></proof>
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</goal>
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<goal name="kmp'vc.15" expl="loop variant decrease" proved="true">
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<proof prover="0"><result status="valid" time="0.020000" steps="9307"/></proof>
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<proof prover="3"><result status="valid" time="0.010000" steps="63"/></proof>
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</goal>
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<goal name="kmp'vc.16" expl="loop invariant preservation" proved="true">
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<proof prover="0"><result status="valid" time="0.040000" steps="9461"/></proof>
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<proof prover="3"><result status="valid" time="0.020000" steps="103"/></proof>
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</goal>
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<goal name="kmp'vc.17" expl="loop invariant preservation" proved="true">
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<proof prover="0"><result status="valid" time="0.140000" steps="31904"/></proof>
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<proof prover="3"><result status="valid" time="0.020000" steps="40"/></proof>
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</goal>
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<goal name="kmp'vc.18" expl="loop invariant preservation" proved="true">
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<transf name="introduce_premises" proved="true" >
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<goal name="kmp'vc.18.0" expl="loop invariant preservation" proved="true">
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<transf name="instantiate" proved="true" arg1="LoopInvariant2" arg2="(k-1)">
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<goal name="kmp'vc.18.0.0" expl="loop invariant preservation" proved="true">
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<proof prover="2"><result status="valid" time="0.142568" steps="249966"/></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="kmp'vc.19" expl="postcondition" proved="true">
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<proof prover="0"><result status="valid" time="0.100000" steps="26920"/></proof>
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<proof prover="3"><result status="valid" time="0.020000" steps="278"/></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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