2011-05-16 14:28:44 +02:00
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<?xml version="1.0" encoding="UTF-8"?>
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2014-06-22 07:45:09 +02:00
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<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
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2024-10-25 18:34:29 +02:00
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"https://www.why3.org/why3session.dtd">
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2020-02-11 18:02:16 +01:00
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<why3session shape_version="6">
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2023-08-04 11:46:04 +02:00
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<prover id="0" name="Z3" version="4.12.2" timelimit="1" steplimit="0" memlimit="1000"/>
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2019-09-24 16:20:23 +02:00
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<file format="whyml" proved="true">
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2019-05-06 22:35:38 +02:00
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<path name=".."/><path name="decrease1.mlw"/>
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2018-04-04 11:49:01 +02:00
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<theory name="Decrease1" proved="true">
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2019-10-11 17:22:35 +02:00
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<goal name="decrease1_induction'vc" expl="VC for decrease1_induction" proved="true">
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2024-10-25 18:34:29 +02:00
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<proof prover="0"><result status="valid" time="0.010000" steps="9017"/></proof>
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2014-06-28 14:08:36 +02:00
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</goal>
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2019-10-11 17:22:35 +02:00
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<goal name="search'vc" expl="VC for search" proved="true">
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2018-05-14 15:35:29 +02:00
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<transf name="split_goal_right" proved="true" >
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2019-10-11 17:22:35 +02:00
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<goal name="search'vc.0" expl="loop invariant init" proved="true">
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2024-10-25 18:34:29 +02:00
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<proof prover="0"><result status="valid" time="0.010000" steps="552"/></proof>
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2014-06-28 14:08:36 +02:00
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</goal>
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2019-10-11 17:22:35 +02:00
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<goal name="search'vc.1" expl="loop invariant init" proved="true">
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2024-10-25 18:34:29 +02:00
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<proof prover="0"><result status="valid" time="0.010000" steps="774"/></proof>
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2014-06-28 14:08:36 +02:00
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</goal>
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2019-10-11 17:22:35 +02:00
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<goal name="search'vc.2" expl="index in array bounds" proved="true">
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2024-10-25 18:34:29 +02:00
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<proof prover="0"><result status="valid" time="0.010000" steps="8059"/></proof>
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2014-06-28 14:08:36 +02:00
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</goal>
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2019-10-11 17:22:35 +02:00
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<goal name="search'vc.3" expl="postcondition" proved="true">
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2024-10-25 18:34:29 +02:00
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<proof prover="0"><result status="valid" time="0.010000" steps="9702"/></proof>
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2014-06-28 14:08:36 +02:00
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</goal>
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2019-10-11 17:22:35 +02:00
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<goal name="search'vc.4" expl="index in array bounds" proved="true">
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2024-10-25 18:34:29 +02:00
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<proof prover="0"><result status="valid" time="0.010000" steps="8166"/></proof>
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2014-06-28 14:08:36 +02:00
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</goal>
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2021-06-25 10:26:57 +02:00
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<goal name="search'vc.5" expl="index in array bounds" proved="true">
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2024-10-25 18:34:29 +02:00
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<proof prover="0"><result status="valid" time="0.010000" steps="8239"/></proof>
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2014-06-28 14:08:36 +02:00
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</goal>
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2021-06-25 10:26:57 +02:00
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<goal name="search'vc.6" expl="loop variant decrease" proved="true">
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2024-10-25 18:34:29 +02:00
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<proof prover="0"><result status="valid" time="0.010000" steps="8453"/></proof>
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2021-06-25 10:26:57 +02:00
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</goal>
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2019-10-11 17:22:35 +02:00
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<goal name="search'vc.7" expl="loop invariant preservation" proved="true">
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2024-10-25 18:34:29 +02:00
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<proof prover="0"><result status="valid" time="0.010000" steps="8352"/></proof>
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2014-06-28 14:08:36 +02:00
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</goal>
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2019-10-11 17:22:35 +02:00
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<goal name="search'vc.8" expl="loop invariant preservation" proved="true">
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2024-10-25 18:34:29 +02:00
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<proof prover="0"><result status="valid" time="0.010000" steps="9713"/></proof>
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2014-06-28 14:08:36 +02:00
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</goal>
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2019-10-11 17:22:35 +02:00
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<goal name="search'vc.9" expl="loop variant decrease" proved="true">
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2024-10-25 18:34:29 +02:00
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<proof prover="0"><result status="valid" time="0.010000" steps="8396"/></proof>
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2014-06-28 14:08:36 +02:00
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</goal>
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2019-10-11 17:22:35 +02:00
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<goal name="search'vc.10" expl="loop invariant preservation" proved="true">
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2024-10-25 18:34:29 +02:00
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<proof prover="0"><result status="valid" time="0.010000" steps="8298"/></proof>
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2014-06-28 14:08:36 +02:00
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</goal>
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2019-10-11 17:22:35 +02:00
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<goal name="search'vc.11" expl="loop invariant preservation" proved="true">
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2024-10-25 18:34:29 +02:00
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<proof prover="0"><result status="valid" time="0.010000" steps="9560"/></proof>
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2014-06-28 14:08:36 +02:00
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</goal>
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2019-10-11 17:22:35 +02:00
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<goal name="search'vc.12" expl="postcondition" proved="true">
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2024-10-25 18:34:29 +02:00
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<proof prover="0"><result status="valid" time="0.010000" steps="8774"/></proof>
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2014-06-28 14:08:36 +02:00
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</goal>
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</transf>
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</goal>
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2019-10-11 17:22:35 +02:00
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<goal name="search_rec'vc" expl="VC for search_rec" proved="true">
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2018-05-14 15:35:29 +02:00
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<transf name="split_goal_right" proved="true" >
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2019-10-11 17:22:35 +02:00
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<goal name="search_rec'vc.0" expl="index in array bounds" proved="true">
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2024-10-25 18:34:29 +02:00
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<proof prover="0"><result status="valid" time="0.010000" steps="6957"/></proof>
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2014-06-28 14:08:36 +02:00
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</goal>
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2019-10-11 17:22:35 +02:00
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<goal name="search_rec'vc.1" expl="index in array bounds" proved="true">
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2024-10-25 18:34:29 +02:00
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<proof prover="0"><result status="valid" time="0.010000" steps="7632"/></proof>
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2014-06-28 14:08:36 +02:00
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</goal>
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2019-10-11 17:22:35 +02:00
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<goal name="search_rec'vc.2" expl="index in array bounds" proved="true">
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2024-10-25 18:34:29 +02:00
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<proof prover="0"><result status="valid" time="0.010000" steps="7705"/></proof>
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2014-06-28 14:08:36 +02:00
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</goal>
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2019-10-11 17:22:35 +02:00
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<goal name="search_rec'vc.3" expl="variant decrease" proved="true">
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2024-10-25 18:34:29 +02:00
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<proof prover="0"><result status="valid" time="0.010000" steps="7841"/></proof>
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2014-06-28 14:08:36 +02:00
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</goal>
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2019-10-11 17:22:35 +02:00
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<goal name="search_rec'vc.4" expl="precondition" proved="true">
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2024-10-25 18:34:29 +02:00
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<proof prover="0"><result status="valid" time="0.010000" steps="7850"/></proof>
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2014-06-28 14:08:36 +02:00
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</goal>
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2019-10-11 17:22:35 +02:00
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<goal name="search_rec'vc.5" expl="variant decrease" proved="true">
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2024-10-25 18:34:29 +02:00
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<proof prover="0"><result status="valid" time="0.010000" steps="7794"/></proof>
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2014-06-28 14:08:36 +02:00
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</goal>
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2019-10-11 17:22:35 +02:00
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<goal name="search_rec'vc.6" expl="precondition" proved="true">
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2024-10-25 18:34:29 +02:00
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<proof prover="0"><result status="valid" time="0.010000" steps="7810"/></proof>
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2014-06-28 14:08:36 +02:00
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</goal>
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2019-10-11 17:22:35 +02:00
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<goal name="search_rec'vc.7" expl="postcondition" proved="true">
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2024-10-25 18:34:29 +02:00
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<proof prover="0"><result status="valid" time="0.010000" steps="15872"/></proof>
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2014-06-28 14:08:36 +02:00
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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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2011-05-16 14:28:44 +02:00
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</why3session>
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