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Upgrade Z3 proofs
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@@ -2,81 +2,81 @@
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<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
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"http://why3.lri.fr/why3session.dtd">
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<why3session shape_version="6">
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<prover id="1" name="Z3" version="4.11.2" timelimit="1" steplimit="0" memlimit="1000"/>
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<prover id="0" name="Z3" version="4.12.2" timelimit="1" steplimit="0" memlimit="1000"/>
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<file format="whyml" proved="true">
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<path name=".."/><path name="decrease1.mlw"/>
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<theory name="Decrease1" proved="true">
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<goal name="decrease1_induction'vc" expl="VC for decrease1_induction" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="11497"/></proof>
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<proof prover="0"><result status="valid" time="0.010000" steps="10559"/></proof>
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</goal>
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<goal name="search'vc" expl="VC for search" proved="true">
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<transf name="split_goal_right" proved="true" >
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<goal name="search'vc.0" expl="loop invariant init" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="643"/></proof>
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<proof prover="0"><result status="valid" time="0.010000" steps="643"/></proof>
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</goal>
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<goal name="search'vc.1" expl="loop invariant init" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="930"/></proof>
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<proof prover="0"><result status="valid" time="0.010000" steps="930"/></proof>
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</goal>
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<goal name="search'vc.2" expl="index in array bounds" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="10487"/></proof>
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<proof prover="0"><result status="valid" time="0.010000" steps="9588"/></proof>
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</goal>
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<goal name="search'vc.3" expl="postcondition" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="12261"/></proof>
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<proof prover="0"><result status="valid" time="0.010000" steps="11250"/></proof>
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</goal>
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<goal name="search'vc.4" expl="index in array bounds" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="10602"/></proof>
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<proof prover="0"><result status="valid" time="0.010000" steps="9695"/></proof>
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</goal>
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<goal name="search'vc.5" expl="index in array bounds" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="10679"/></proof>
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<proof prover="0"><result status="valid" time="0.010000" steps="9768"/></proof>
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</goal>
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<goal name="search'vc.6" expl="loop variant decrease" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="11390"/></proof>
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<proof prover="0"><result status="valid" time="0.010000" steps="9990"/></proof>
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</goal>
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<goal name="search'vc.7" expl="loop invariant preservation" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="10937"/></proof>
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<proof prover="0"><result status="valid" time="0.010000" steps="9889"/></proof>
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</goal>
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<goal name="search'vc.8" expl="loop invariant preservation" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="12335"/></proof>
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<proof prover="0"><result status="valid" time="0.010000" steps="11255"/></proof>
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</goal>
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<goal name="search'vc.9" expl="loop variant decrease" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="11320"/></proof>
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<proof prover="0"><result status="valid" time="0.010000" steps="9933"/></proof>
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</goal>
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<goal name="search'vc.10" expl="loop invariant preservation" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="10913"/></proof>
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<proof prover="0"><result status="valid" time="0.010000" steps="9835"/></proof>
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</goal>
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<goal name="search'vc.11" expl="loop invariant preservation" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="12816"/></proof>
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<proof prover="0"><result status="valid" time="0.010000" steps="11102"/></proof>
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</goal>
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<goal name="search'vc.12" expl="postcondition" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="11261"/></proof>
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<proof prover="0"><result status="valid" time="0.010000" steps="10316"/></proof>
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</goal>
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</transf>
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</goal>
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<goal name="search_rec'vc" expl="VC for search_rec" proved="true">
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<transf name="split_goal_right" proved="true" >
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<goal name="search_rec'vc.0" expl="index in array bounds" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="9838"/></proof>
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<proof prover="0"><result status="valid" time="0.010000" steps="9009"/></proof>
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</goal>
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<goal name="search_rec'vc.1" expl="index in array bounds" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="10008"/></proof>
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<proof prover="0"><result status="valid" time="0.010000" steps="9161"/></proof>
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</goal>
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<goal name="search_rec'vc.2" expl="index in array bounds" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="10085"/></proof>
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<proof prover="0"><result status="valid" time="0.010000" steps="9234"/></proof>
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</goal>
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<goal name="search_rec'vc.3" expl="variant decrease" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="10241"/></proof>
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<proof prover="0"><result status="valid" time="0.010000" steps="9378"/></proof>
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</goal>
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<goal name="search_rec'vc.4" expl="precondition" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="10242"/></proof>
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<proof prover="0"><result status="valid" time="0.010000" steps="9387"/></proof>
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</goal>
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<goal name="search_rec'vc.5" expl="variant decrease" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="10190"/></proof>
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<proof prover="0"><result status="valid" time="0.010000" steps="9331"/></proof>
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</goal>
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<goal name="search_rec'vc.6" expl="precondition" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="10202"/></proof>
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<proof prover="0"><result status="valid" time="0.010000" steps="9347"/></proof>
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</goal>
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<goal name="search_rec'vc.7" expl="postcondition" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="18651"/></proof>
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<proof prover="0"><result status="valid" time="0.010000" steps="17414"/></proof>
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</goal>
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</transf>
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</goal>
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