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f021759931694c0e693ea490a93257897230b3a8
why3/examples/programs/decrease1/why3session.xml
Claude Marche f021759931 last updated proofs, bench should be OK now
2011-09-14 11:38:55 +02:00

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<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE why3session SYSTEM "why3session.dtd">
<why3session name="examples/programs/decrease1/why3session.xml">
<prover id="alt-ergo" name="Alt-Ergo" version="0.93"/>
<prover id="coq" name="Coq" version="8.3pl2"/>
<prover id="cvc3" name="CVC3" version="2.2"/>
<prover id="gappa" name="Gappa" version="0.15.0"/>
<prover id="simplify" name="Simplify" version="1.5.4"/>
<prover id="spass" name="Spass" version="3.7"/>
<prover id="vampire" name="Vampire" version="0.6"/>
<prover id="yices" name="Yices" version="1.0.25"/>
<prover id="z3" name="Z3" version="2.19"/>
<file name="../decrease1.mlw" verified="true" expanded="true">
<theory name="WP Decrease1" verified="true" expanded="true">
<goal name="decrease1_induction" sum="9663d3d345fd283056aa58595056841f" proved="true" expanded="true" shape="ainfix >=amixfix []V0V2ainfix -ainfix +amixfix []V0V1V1V2Iainfix <V2alengthV0Aainfix <=V1V2Aainfix <=c0V1FIadecrease1V0F">
<proof prover="coq" timelimit="10" edited="decrease1_Decrease1_decrease1_induction_2.v" obsolete="false">
<result status="valid" time="0.60"/>
</proof>
</goal>
<goal name="WP_parameter search" expl="parameter search" sum="8fd534f9e23b388e09448b767c337195" proved="true" expanded="true" shape="iainfix <V2V0iainfix =agetV1V2c0ainfix =agetV1V3c0NIainfix <V3V2Aainfix <=c0V3FAainfix =agetV1V2c0Aainfix <V2V0Aainfix <=c0V2Oainfix =agetV1V4c0NIainfix <V4V0Aainfix <=c0V4FAainfix =V2aprefix -c1iainfix >agetV1V2c0ainfix <ainfix -V0V5ainfix -V0V2Aainfix <=c0ainfix -V0V2Aainfix =agetV1V6c0NIainfix <V6V0Iainfix <V6V5Aainfix <=c0V6FAainfix <=c0V5Iainfix =V5ainfix +V2agetV1V2FAainfix <V2V0Aainfix <=c0V2ainfix <ainfix -V0V7ainfix -V0V2Aainfix <=c0ainfix -V0V2Aainfix =agetV1V8c0NIainfix <V8V0Iainfix <V8V7Aainfix <=c0V8FAainfix <=c0V7Iainfix =V7ainfix +V2c1FAainfix <V2V0Aainfix <=c0V2Aainfix <V2V0Aainfix <=c0V2ainfix =agetV1V9c0NIainfix <V9aprefix -c1Aainfix <=c0V9FAainfix =agetV1aprefix -c1c0Aainfix <aprefix -c1V0Aainfix <=c0aprefix -c1Oainfix =agetV1V10c0NIainfix <V10V0Aainfix <=c0V10FAainfix =aprefix -c1aprefix -c1Iainfix =agetV1V11c0NIainfix <V11V0Iainfix <V11V2Aainfix <=c0V11FAainfix <=c0V2FAainfix =agetV1V12c0NIainfix <V12V0Iainfix <V12c0Aainfix <=c0V12FAainfix <=c0c0Iadecrease1amk arrayV0V1FF">
<transf name="split_goal" proved="true" expanded="true">
<goal name="WP_parameter search.1" expl="loop invariant init" sum="bcf8c81ba18b978a3ab6d782d6b80c57" proved="true" expanded="true" shape="ainfix =agetV1V2c0NIainfix <V2V0Iainfix <V2c0Aainfix <=c0V2FAainfix <=c0c0Iadecrease1amk arrayV0V1FF">
<proof prover="cvc3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.00"/>
</proof>
<proof prover="alt-ergo" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.01"/>
</proof>
<proof prover="z3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.00"/>
</proof>
</goal>
<goal name="WP_parameter search.2" expl="precondition" sum="57f1612854871fa1ae27dc629318415e" proved="true" expanded="true" shape="ainfix <V2V0Aainfix <=c0V2Iainfix <V2V0Iainfix =agetV1V3c0NIainfix <V3V0Iainfix <V3V2Aainfix <=c0V3FAainfix <=c0V2FIadecrease1amk arrayV0V1FF">
<proof prover="cvc3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.00"/>
</proof>
<proof prover="alt-ergo" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.01"/>
</proof>
<proof prover="z3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.01"/>
</proof>
</goal>
<goal name="WP_parameter search.3" expl="normal postcondition" sum="13963d89bde79ce4e5d1f0dc219c83b2" proved="true" expanded="true" shape="ainfix =agetV1V3c0NIainfix <V3V2Aainfix <=c0V3FAainfix =agetV1V2c0Aainfix <V2V0Aainfix <=c0V2Oainfix =agetV1V4c0NIainfix <V4V0Aainfix <=c0V4FAainfix =V2aprefix -c1Iainfix =agetV1V2c0Iainfix <V2V0Aainfix <=c0V2Iainfix <V2V0Iainfix =agetV1V5c0NIainfix <V5V0Iainfix <V5V2Aainfix <=c0V5FAainfix <=c0V2FIadecrease1amk arrayV0V1FF">
<proof prover="cvc3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.00"/>
</proof>
<proof prover="alt-ergo" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.02"/>
</proof>
<proof prover="z3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.01"/>
</proof>
</goal>
<goal name="WP_parameter search.4" expl="precondition" sum="5bf225d3fdf0d3dc78b90f30a7b987fe" proved="true" expanded="true" shape="ainfix <V2V0Aainfix <=c0V2Iainfix =agetV1V2c0NIainfix <V2V0Aainfix <=c0V2Iainfix <V2V0Iainfix =agetV1V3c0NIainfix <V3V0Iainfix <V3V2Aainfix <=c0V3FAainfix <=c0V2FIadecrease1amk arrayV0V1FF">
<proof prover="cvc3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.00"/>
</proof>
<proof prover="alt-ergo" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.00"/>
</proof>
<proof prover="z3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.00"/>
</proof>
</goal>
<goal name="WP_parameter search.5" expl="precondition" sum="e41c52ffcae88b8c341592cc7318e7bc" proved="true" expanded="true" shape="ainfix <V2V0Aainfix <=c0V2Iainfix >agetV1V2c0Iainfix <V2V0Aainfix <=c0V2Iainfix =agetV1V2c0NIainfix <V2V0Aainfix <=c0V2Iainfix <V2V0Iainfix =agetV1V3c0NIainfix <V3V0Iainfix <V3V2Aainfix <=c0V3FAainfix <=c0V2FIadecrease1amk arrayV0V1FF">
<proof prover="cvc3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.00"/>
</proof>
<proof prover="alt-ergo" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.01"/>
</proof>
<proof prover="z3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.00"/>
</proof>
</goal>
<goal name="WP_parameter search.6" expl="loop invariant preservation" sum="717069361e02621d0bb3db1681f957a3" proved="true" expanded="true" shape="ainfix =agetV1V4c0NIainfix <V4V0Iainfix <V4V3Aainfix <=c0V4FAainfix <=c0V3Iainfix =V3ainfix +V2agetV1V2FIainfix <V2V0Aainfix <=c0V2Iainfix >agetV1V2c0Iainfix <V2V0Aainfix <=c0V2Iainfix =agetV1V2c0NIainfix <V2V0Aainfix <=c0V2Iainfix <V2V0Iainfix =agetV1V5c0NIainfix <V5V0Iainfix <V5V2Aainfix <=c0V5FAainfix <=c0V2FIadecrease1amk arrayV0V1FF">
<proof prover="z3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.02"/>
</proof>
</goal>
<goal name="WP_parameter search.7" expl="loop variant decreases" sum="2d202dc4fc8757d3a95304f3cd62ae3a" proved="true" expanded="true" shape="ainfix <ainfix -V0V3ainfix -V0V2Aainfix <=c0ainfix -V0V2Iainfix =agetV1V4c0NIainfix <V4V0Iainfix <V4V3Aainfix <=c0V4FAainfix <=c0V3Iainfix =V3ainfix +V2agetV1V2FIainfix <V2V0Aainfix <=c0V2Iainfix >agetV1V2c0Iainfix <V2V0Aainfix <=c0V2Iainfix =agetV1V2c0NIainfix <V2V0Aainfix <=c0V2Iainfix <V2V0Iainfix =agetV1V5c0NIainfix <V5V0Iainfix <V5V2Aainfix <=c0V5FAainfix <=c0V2FIadecrease1amk arrayV0V1FF">
<proof prover="cvc3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.00"/>
</proof>
<proof prover="alt-ergo" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.02"/>
</proof>
<proof prover="z3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.02"/>
</proof>
</goal>
<goal name="WP_parameter search.8" expl="loop invariant preservation" sum="b6a465fe8243a3b1959a4769e261ec5c" proved="true" expanded="true" shape="ainfix =agetV1V4c0NIainfix <V4V0Iainfix <V4V3Aainfix <=c0V4FAainfix <=c0V3Iainfix =V3ainfix +V2c1FIainfix >agetV1V2c0NIainfix <V2V0Aainfix <=c0V2Iainfix =agetV1V2c0NIainfix <V2V0Aainfix <=c0V2Iainfix <V2V0Iainfix =agetV1V5c0NIainfix <V5V0Iainfix <V5V2Aainfix <=c0V5FAainfix <=c0V2FIadecrease1amk arrayV0V1FF">
<proof prover="cvc3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.01"/>
</proof>
<proof prover="alt-ergo" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.01"/>
</proof>
<proof prover="z3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.02"/>
</proof>
</goal>
<goal name="WP_parameter search.9" expl="loop variant decreases" sum="b45c62062eef11d6dcaa45c4adb8d173" proved="true" expanded="true" shape="ainfix <ainfix -V0V3ainfix -V0V2Aainfix <=c0ainfix -V0V2Iainfix =agetV1V4c0NIainfix <V4V0Iainfix <V4V3Aainfix <=c0V4FAainfix <=c0V3Iainfix =V3ainfix +V2c1FIainfix >agetV1V2c0NIainfix <V2V0Aainfix <=c0V2Iainfix =agetV1V2c0NIainfix <V2V0Aainfix <=c0V2Iainfix <V2V0Iainfix =agetV1V5c0NIainfix <V5V0Iainfix <V5V2Aainfix <=c0V5FAainfix <=c0V2FIadecrease1amk arrayV0V1FF">
<proof prover="cvc3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.00"/>
</proof>
<proof prover="alt-ergo" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.01"/>
</proof>
<proof prover="z3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.02"/>
</proof>
</goal>
<goal name="WP_parameter search.10" expl="normal postcondition" sum="80987b4f8e8a46299465c7e335530702" proved="true" expanded="true" shape="ainfix =agetV1V3c0NIainfix <V3aprefix -c1Aainfix <=c0V3FAainfix =agetV1aprefix -c1c0Aainfix <aprefix -c1V0Aainfix <=c0aprefix -c1Oainfix =agetV1V4c0NIainfix <V4V0Aainfix <=c0V4FAainfix =aprefix -c1aprefix -c1Iainfix <V2V0NIainfix =agetV1V5c0NIainfix <V5V0Iainfix <V5V2Aainfix <=c0V5FAainfix <=c0V2FIadecrease1amk arrayV0V1FF">
<proof prover="cvc3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.00"/>
</proof>
<proof prover="alt-ergo" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.02"/>
</proof>
<proof prover="z3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.01"/>
</proof>
</goal>
</transf>
</goal>
<goal name="WP_parameter search_rec" expl="parameter search_rec" sum="f920f59a3c23e877b1111ad4cf6c3c47" proved="true" expanded="true" shape="Lamk arrayV0V2iainfix <V1V0iainfix =agetV2V1c0ainfix =agetV2V4c0NIainfix <V4V1Aainfix <=V1V4FAainfix =agetV2V1c0Aainfix <V1V0Aainfix <=V1V1Oainfix =agetV2V5c0NIainfix <V5V0Aainfix <=V1V5FAainfix =V1aprefix -c1iainfix >agetV2V1c0LagetV2V1ainfix =agetV2V8c0NIainfix <V8V7Aainfix <=V1V8FAainfix =agetV2V7c0Aainfix <V7V0Aainfix <=V1V7Oainfix =agetV2V9c0NIainfix <V9V0Aainfix <=V1V9FAainfix =V7aprefix -c1Iainfix =agetV2V10c0NIainfix <V10V7Aainfix <=ainfix +V1V6V10FAainfix =agetV2V7c0Aainfix <V7V0Aainfix <=ainfix +V1V6V7Oainfix =agetV2V11c0NIainfix <V11V0Aainfix <=ainfix +V1V6V11FAainfix =V7aprefix -c1FAainfix <=c0ainfix +V1V6Aadecrease1V3Aainfix <V1V0Aainfix <=c0V1ainfix =agetV2V13c0NIainfix <V13V12Aainfix <=V1V13FAainfix =agetV2V12c0Aainfix <V12V0Aainfix <=V1V12Oainfix =agetV2V14c0NIainfix <V14V0Aainfix <=V1V14FAainfix =V12aprefix -c1Iainfix =agetV2V15c0NIainfix <V15V12Aainfix <=ainfix +V1c1V15FAainfix =agetV2V12c0Aainfix <V12V0Aainfix <=ainfix +V1c1V12Oainfix =agetV2V16c0NIainfix <V16V0Aainfix <=ainfix +V1c1V16FAainfix =V12aprefix -c1FAainfix <=c0ainfix +V1c1Aadecrease1V3Aainfix <V1V0Aainfix <=c0V1Aainfix <V1V0Aainfix <=c0V1ainfix =agetV2V17c0NIainfix <V17aprefix -c1Aainfix <=V1V17FAainfix =agetV2aprefix -c1c0Aainfix <aprefix -c1V0Aainfix <=V1aprefix -c1Oainfix =agetV2V18c0NIainfix <V18V0Aainfix <=V1V18FAainfix =aprefix -c1aprefix -c1Iainfix <=c0V1Aadecrease1V3FFF">
<transf name="split_goal" proved="true" expanded="true">
<goal name="WP_parameter search_rec.1" expl="precondition" sum="ca0f1db57709e94db743b17d190d7129" proved="true" expanded="true" shape="Lamk arrayV0V2ainfix <V1V0Aainfix <=c0V1Iainfix <V1V0Iainfix <=c0V1Aadecrease1V3FFF">
<proof prover="cvc3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.00"/>
</proof>
<proof prover="alt-ergo" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.02"/>
</proof>
<proof prover="z3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.01"/>
</proof>
</goal>
<goal name="WP_parameter search_rec.2" expl="normal postcondition" sum="0d1689ef72ab626371a994bb661a7081" proved="true" expanded="true" shape="Lamk arrayV0V2ainfix =agetV2V4c0NIainfix <V4V1Aainfix <=V1V4FAainfix =agetV2V1c0Aainfix <V1V0Aainfix <=V1V1Oainfix =agetV2V5c0NIainfix <V5V0Aainfix <=V1V5FAainfix =V1aprefix -c1Iainfix =agetV2V1c0Iainfix <V1V0Aainfix <=c0V1Iainfix <V1V0Iainfix <=c0V1Aadecrease1V3FFF">
<proof prover="cvc3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.00"/>
</proof>
<proof prover="alt-ergo" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.00"/>
</proof>
<proof prover="z3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.01"/>
</proof>
</goal>
<goal name="WP_parameter search_rec.3" expl="precondition" sum="804c43a1c56608d126ed5bd87e47ec4d" proved="true" expanded="true" shape="Lamk arrayV0V2ainfix <V1V0Aainfix <=c0V1Iainfix =agetV2V1c0NIainfix <V1V0Aainfix <=c0V1Iainfix <V1V0Iainfix <=c0V1Aadecrease1V3FFF">
<proof prover="cvc3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.00"/>
</proof>
<proof prover="alt-ergo" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.01"/>
</proof>
<proof prover="z3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.00"/>
</proof>
</goal>
<goal name="WP_parameter search_rec.4" expl="precondition" sum="20c0def115c043037b348daa50bd90d9" proved="true" expanded="true" shape="Lamk arrayV0V2ainfix <V1V0Aainfix <=c0V1Iainfix >agetV2V1c0Iainfix <V1V0Aainfix <=c0V1Iainfix =agetV2V1c0NIainfix <V1V0Aainfix <=c0V1Iainfix <V1V0Iainfix <=c0V1Aadecrease1V3FFF">
<proof prover="cvc3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.00"/>
</proof>
<proof prover="alt-ergo" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.01"/>
</proof>
<proof prover="z3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.00"/>
</proof>
</goal>
<goal name="WP_parameter search_rec.5" expl="precondition" sum="f62929ef4c836e941df573f1f03e643c" proved="true" expanded="true" shape="Lamk arrayV0V2LagetV2V1ainfix <=c0ainfix +V1V4Aadecrease1V3Iainfix <V1V0Aainfix <=c0V1Iainfix >agetV2V1c0Iainfix <V1V0Aainfix <=c0V1Iainfix =agetV2V1c0NIainfix <V1V0Aainfix <=c0V1Iainfix <V1V0Iainfix <=c0V1Aadecrease1V3FFF">
<proof prover="cvc3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.00"/>
</proof>
<proof prover="alt-ergo" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.02"/>
</proof>
<proof prover="z3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.02"/>
</proof>
</goal>
<goal name="WP_parameter search_rec.6" expl="normal postcondition" sum="b3053ac91181d08db846a6dcd6b88307" proved="true" expanded="true" shape="Lamk arrayV0V2LagetV2V1ainfix =agetV2V6c0NIainfix <V6V5Aainfix <=V1V6FAainfix =agetV2V5c0Aainfix <V5V0Aainfix <=V1V5Oainfix =agetV2V7c0NIainfix <V7V0Aainfix <=V1V7FAainfix =V5aprefix -c1Iainfix =agetV2V8c0NIainfix <V8V5Aainfix <=ainfix +V1V4V8FAainfix =agetV2V5c0Aainfix <V5V0Aainfix <=ainfix +V1V4V5Oainfix =agetV2V9c0NIainfix <V9V0Aainfix <=ainfix +V1V4V9FAainfix =V5aprefix -c1FIainfix <=c0ainfix +V1V4Aadecrease1V3Iainfix <V1V0Aainfix <=c0V1Iainfix >agetV2V1c0Iainfix <V1V0Aainfix <=c0V1Iainfix =agetV2V1c0NIainfix <V1V0Aainfix <=c0V1Iainfix <V1V0Iainfix <=c0V1Aadecrease1V3FFF">
<proof prover="z3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.02"/>
</proof>
</goal>
<goal name="WP_parameter search_rec.7" expl="precondition" sum="84cb849f26ba42733e0cfb2e9bb4e6a3" proved="true" expanded="true" shape="Lamk arrayV0V2ainfix <=c0ainfix +V1c1Aadecrease1V3Iainfix >agetV2V1c0NIainfix <V1V0Aainfix <=c0V1Iainfix =agetV2V1c0NIainfix <V1V0Aainfix <=c0V1Iainfix <V1V0Iainfix <=c0V1Aadecrease1V3FFF">
<proof prover="cvc3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.00"/>
</proof>
<proof prover="alt-ergo" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.01"/>
</proof>
<proof prover="z3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.01"/>
</proof>
</goal>
<goal name="WP_parameter search_rec.8" expl="normal postcondition" sum="f652c32f7e2a56594aea1a3682c5b089" proved="true" expanded="true" shape="Lamk arrayV0V2ainfix =agetV2V5c0NIainfix <V5V4Aainfix <=V1V5FAainfix =agetV2V4c0Aainfix <V4V0Aainfix <=V1V4Oainfix =agetV2V6c0NIainfix <V6V0Aainfix <=V1V6FAainfix =V4aprefix -c1Iainfix =agetV2V7c0NIainfix <V7V4Aainfix <=ainfix +V1c1V7FAainfix =agetV2V4c0Aainfix <V4V0Aainfix <=ainfix +V1c1V4Oainfix =agetV2V8c0NIainfix <V8V0Aainfix <=ainfix +V1c1V8FAainfix =V4aprefix -c1FIainfix <=c0ainfix +V1c1Aadecrease1V3Iainfix >agetV2V1c0NIainfix <V1V0Aainfix <=c0V1Iainfix =agetV2V1c0NIainfix <V1V0Aainfix <=c0V1Iainfix <V1V0Iainfix <=c0V1Aadecrease1V3FFF">
<proof prover="cvc3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.00"/>
</proof>
<proof prover="alt-ergo" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.02"/>
</proof>
<proof prover="z3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.02"/>
</proof>
</goal>
<goal name="WP_parameter search_rec.9" expl="normal postcondition" sum="b39f3285ef83f0128d68cfd4f38dc062" proved="true" expanded="true" shape="Lamk arrayV0V2ainfix =agetV2V4c0NIainfix <V4aprefix -c1Aainfix <=V1V4FAainfix =agetV2aprefix -c1c0Aainfix <aprefix -c1V0Aainfix <=V1aprefix -c1Oainfix =agetV2V5c0NIainfix <V5V0Aainfix <=V1V5FAainfix =aprefix -c1aprefix -c1Iainfix <V1V0NIainfix <=c0V1Aadecrease1V3FFF">
<proof prover="cvc3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.00"/>
</proof>
<proof prover="alt-ergo" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.01"/>
</proof>
<proof prover="z3" timelimit="10" edited="" obsolete="false">
<result status="valid" time="0.01"/>
</proof>
</goal>
</transf>
</goal>
</theory>
</file>
</why3session>
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