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why3/examples/decrease1/why3session.xml

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<?xml version="1.0" encoding="UTF-8"?>
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<!DOCTYPE why3session PUBLIC "-//Why3//proof session v2//EN" "http://why3.lri.fr/why3session.dtd">
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<why3session shape_version="4">
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<prover
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id="0"
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name="Alt-Ergo"
version="0.95.1"/>
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<prover
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id="1"
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name="CVC3"
version="2.2"/>
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<prover
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id="2"
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name="CVC3"
version="2.4.1"/>
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<prover
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id="3"
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name="CVC4"
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version="1.2"/>
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<prover
id="4"
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name="Coq"
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version="8.4pl2"/>
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<prover
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id="5"
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name="Z3"
version="2.19"/>
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<prover
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id="6"
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name="Z3"
version="3.2"/>
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<prover
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id="7"
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name="Z3"
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version="4.3.1"/>
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<file
name="../decrease1.mlw"
verified="true"
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expanded="true">
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<theory
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name="Decrease1"
locfile="../decrease1.mlw"
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loclnum="8" loccnumb="7" loccnume="16"
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verified="true"
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expanded="true">
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<goal
name="decrease1_induction"
locfile="../decrease1.mlw"
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loclnum="17" loccnumb="8" loccnume="27"
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sum="459ba72bf3659f58e02025676756387f"
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proved="true"
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expanded="true"
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shape="ainfix &gt;=amixfix []V0V2ainfix -ainfix +amixfix []V0V1V1V2Iainfix &lt;V2alengthV0Aainfix &lt;=V1V2Aainfix &lt;=c0V1FIadecrease1V0F">
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<proof
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prover="4"
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timelimit="10"
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memlimit="0"
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edited="decrease1_Decrease1_decrease1_induction_2.v"
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obsolete="false"
archived="false">
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<result status="valid" time="1.10"/>
</proof>
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</goal>
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<goal
name="WP_parameter search"
locfile="../decrease1.mlw"
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loclnum="23" loccnumb="6" loccnume="12"
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expl="VC for search"
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sum="f7be780d3f65572f09710dbd91ccde8c"
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proved="true"
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expanded="true"
shape="iNainfix =agetV1V4c0Iainfix &lt;V4V3Aainfix &lt;=c0V4FAainfix =agetV1V3c0Aainfix &lt;V3V0Aainfix &lt;=c0V3ONainfix =agetV1V5c0Iainfix &lt;V5V0Aainfix &lt;=c0V5FAainfix =V3aprefix -c1Laprefix -c1iiainfix &lt;ainfix -V0V6ainfix -V0V2Aainfix &lt;=c0ainfix -V0V2ANainfix =agetV1V7c0Iainfix &lt;V7V0Iainfix &lt;V7V6Aainfix &lt;=c0V7FAainfix &lt;=c0V6Iainfix =V6ainfix +V2c1Fainfix &lt;ainfix -V0V8ainfix -V0V2Aainfix &lt;=c0ainfix -V0V2ANainfix =agetV1V9c0Iainfix &lt;V9V0Iainfix &lt;V9V8Aainfix &lt;=c0V9FAainfix &lt;=c0V8Iainfix =V8ainfix +V2agetV1V2FAainfix &lt;V2V0Aainfix &lt;=c0V2ainfix &gt;agetV1V2c0Aainfix &lt;V2V0Aainfix &lt;=c0V2Nainfix =agetV1V10c0Iainfix &lt;V10V2Aainfix &lt;=c0V10FAainfix =agetV1V2c0Aainfix &lt;V2V0Aainfix &lt;=c0V2ONainfix =agetV1V11c0Iainfix &lt;V11V0Aainfix &lt;=c0V11FAainfix =V2aprefix -c1ainfix =agetV1V2c0Aainfix &lt;V2V0Aainfix &lt;=c0V2ainfix &lt;V2V0INainfix =agetV1V12c0Iainfix &lt;V12V0Iainfix &lt;V12V2Aainfix &lt;=c0V12FAainfix &lt;=c0V2FANainfix =agetV1V13c0Iainfix &lt;V13V0Iainfix &lt;V13c0Aainfix &lt;=c0V13FAainfix &lt;=c0c0Iadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
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<label
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name="expl:VC for search"/>
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<transf
name="split_goal"
proved="true"
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expanded="true">
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<goal
name="WP_parameter search.1"
locfile="../decrease1.mlw"
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loclnum="23" loccnumb="6" loccnume="12"
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expl="1. loop invariant init"
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sum="612f1b5434bd72bf4805880e455e8554"
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proved="true"
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expanded="true"
shape="loop invariant initainfix &lt;=c0c0Iadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
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<label
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name="expl:VC for search"/>
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<proof
prover="0"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
prover="2"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
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prover="6"
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timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
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prover="7"
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timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
</goal>
<goal
name="WP_parameter search.2"
locfile="../decrease1.mlw"
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loclnum="23" loccnumb="6" loccnume="12"
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expl="2. loop invariant init"
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sum="c8f7c58ddedfa52aa10c2b51f4721259"
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proved="true"
expanded="true"
shape="loop invariant initNainfix =agetV1V2c0Iainfix &lt;V2V0Iainfix &lt;V2c0Aainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
2012-02-25 22:27:52 +01:00
<label
2012-10-31 10:27:44 +01:00
name="expl:VC for search"/>
2011-09-15 13:05:00 +02:00
<proof
prover="0"
timelimit="5"
memlimit="1000"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
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prover="1"
2011-09-15 13:05:00 +02:00
timelimit="10"
2012-05-08 09:10:52 +02:00
memlimit="0"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
2012-10-13 00:34:39 +02:00
<result status="valid" time="0.01"/>
</proof>
2012-10-13 00:34:39 +02:00
<proof
prover="2"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
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prover="5"
timelimit="10"
memlimit="0"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
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prover="6"
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timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
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prover="7"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
2012-10-06 00:00:50 +02:00
<result status="valid" time="0.00"/>
</proof>
</goal>
2011-11-04 17:30:52 +01:00
<goal
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name="WP_parameter search.3"
locfile="../decrease1.mlw"
2012-02-25 22:27:52 +01:00
loclnum="23" loccnumb="6" loccnume="12"
2014-03-13 17:39:51 +01:00
expl="3. index in array bounds"
sum="8a4143d7749f9d2dd2fe16dc04ad774c"
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proved="true"
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expanded="true"
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shape="index in array boundsainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V3c0Iainfix &lt;V3V0Iainfix &lt;V3V2Aainfix &lt;=c0V3FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
2012-02-25 22:27:52 +01:00
<label
2012-10-31 10:27:44 +01:00
name="expl:VC for search"/>
2011-11-04 17:30:52 +01:00
<proof
prover="0"
timelimit="5"
memlimit="1000"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
<result status="valid" time="0.01"/>
</proof>
<proof
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prover="1"
2011-11-04 17:30:52 +01:00
timelimit="10"
2012-05-08 09:10:52 +02:00
memlimit="0"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
2012-09-03 16:28:52 +02:00
<result status="valid" time="0.01"/>
2011-11-04 17:30:52 +01:00
</proof>
2012-10-13 00:34:39 +02:00
<proof
prover="2"
timelimit="5"
memlimit="1000"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
2012-10-06 00:00:50 +02:00
<result status="valid" time="0.00"/>
2011-11-04 17:30:52 +01:00
</proof>
2012-10-13 00:34:39 +02:00
<proof
2013-01-30 19:44:34 +01:00
prover="5"
timelimit="10"
memlimit="0"
2012-10-13 00:34:39 +02:00
obsolete="false"
archived="false">
<result status="valid" time="0.01"/>
2012-10-13 00:34:39 +02:00
</proof>
<proof
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prover="6"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="7"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.03"/>
</proof>
2011-11-04 17:30:52 +01:00
</goal>
2011-09-15 13:05:00 +02:00
<goal
2012-10-13 00:34:39 +02:00
name="WP_parameter search.4"
locfile="../decrease1.mlw"
2012-02-25 22:27:52 +01:00
loclnum="23" loccnumb="6" loccnume="12"
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expl="4. postcondition"
2014-03-13 17:39:51 +01:00
sum="884e8f44b12841b2f572c36b45ad363e"
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proved="true"
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expanded="true"
shape="postconditionNainfix =agetV1V3c0Iainfix &lt;V3V2Aainfix &lt;=c0V3FAainfix =agetV1V2c0Aainfix &lt;V2V0Aainfix &lt;=c0V2ONainfix =agetV1V4c0Iainfix &lt;V4V0Aainfix &lt;=c0V4FAainfix =V2aprefix -c1Iainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V5c0Iainfix &lt;V5V0Iainfix &lt;V5V2Aainfix &lt;=c0V5FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
2012-02-25 22:27:52 +01:00
<label
2012-10-31 10:27:44 +01:00
name="expl:VC for search"/>
2011-09-15 13:05:00 +02:00
<proof
prover="0"
timelimit="5"
memlimit="1000"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
2012-09-03 16:28:52 +02:00
<result status="valid" time="0.01"/>
</proof>
2011-09-15 13:05:00 +02:00
<proof
prover="1"
timelimit="10"
memlimit="0"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
2012-10-13 00:34:39 +02:00
<result status="valid" time="0.01"/>
</proof>
<proof
prover="2"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="5"
timelimit="10"
memlimit="0"
obsolete="false"
archived="false">
<result status="valid" time="0.03"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="6"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="7"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
</goal>
2011-09-15 13:05:00 +02:00
<goal
2012-10-13 00:34:39 +02:00
name="WP_parameter search.5"
locfile="../decrease1.mlw"
2012-02-25 22:27:52 +01:00
loclnum="23" loccnumb="6" loccnume="12"
2014-03-13 17:39:51 +01:00
expl="5. index in array bounds"
sum="653a129088ceecc516ab6f78c9833462"
2011-09-15 13:05:00 +02:00
proved="true"
2012-10-13 00:34:39 +02:00
expanded="true"
2014-03-13 17:39:51 +01:00
shape="index in array boundsainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V3c0Iainfix &lt;V3V0Iainfix &lt;V3V2Aainfix &lt;=c0V3FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
2012-02-25 22:27:52 +01:00
<label
2012-10-31 10:27:44 +01:00
name="expl:VC for search"/>
2011-09-15 13:05:00 +02:00
<proof
prover="0"
timelimit="5"
memlimit="1000"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
2012-10-06 00:00:50 +02:00
<result status="valid" time="0.01"/>
2011-05-23 14:33:51 +02:00
</proof>
2011-09-15 13:05:00 +02:00
<proof
prover="1"
timelimit="10"
memlimit="0"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
2012-10-06 00:00:50 +02:00
<result status="valid" time="0.01"/>
2011-05-23 14:33:51 +02:00
</proof>
2012-10-13 00:34:39 +02:00
<proof
prover="2"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.01"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="5"
timelimit="10"
memlimit="0"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="6"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="7"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
2011-07-06 11:57:00 +02:00
</goal>
2011-09-15 13:05:00 +02:00
<goal
2012-10-13 00:34:39 +02:00
name="WP_parameter search.6"
locfile="../decrease1.mlw"
2012-02-25 22:27:52 +01:00
loclnum="23" loccnumb="6" loccnume="12"
2014-03-13 17:39:51 +01:00
expl="6. index in array bounds"
sum="a29b22f34c7ab15119514218675a1d4d"
2011-09-15 13:05:00 +02:00
proved="true"
2012-10-13 00:34:39 +02:00
expanded="true"
2014-03-13 17:39:51 +01:00
shape="index in array boundsainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V3c0Iainfix &lt;V3V0Iainfix &lt;V3V2Aainfix &lt;=c0V3FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
2012-02-25 22:27:52 +01:00
<label
2012-10-31 10:27:44 +01:00
name="expl:VC for search"/>
2011-09-15 13:05:00 +02:00
<proof
prover="0"
timelimit="5"
memlimit="1000"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
2012-09-03 16:28:52 +02:00
<result status="valid" time="0.01"/>
</proof>
2011-09-15 13:05:00 +02:00
<proof
prover="1"
timelimit="10"
memlimit="0"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
2012-10-06 00:00:50 +02:00
<result status="valid" time="0.01"/>
</proof>
2012-10-13 00:34:39 +02:00
<proof
prover="2"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.01"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="5"
timelimit="10"
memlimit="0"
2012-10-13 00:34:39 +02:00
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="6"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="7"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
</goal>
2011-09-15 13:05:00 +02:00
<goal
name="WP_parameter search.7"
locfile="../decrease1.mlw"
2012-10-13 00:34:39 +02:00
loclnum="23" loccnumb="6" loccnume="12"
2012-10-31 10:27:44 +01:00
expl="7. loop invariant preservation"
2014-03-13 17:39:51 +01:00
sum="de652690aaf9c3c8b33a115e389465b2"
2012-10-13 00:34:39 +02:00
proved="true"
2013-04-06 16:42:50 +02:00
expanded="true"
shape="loop invariant preservationainfix &lt;=c0V3Iainfix =V3ainfix +V2agetV1V2FIainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V4c0Iainfix &lt;V4V0Iainfix &lt;V4V2Aainfix &lt;=c0V4FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
2012-10-13 00:34:39 +02:00
<label
2012-10-31 10:27:44 +01:00
name="expl:VC for search"/>
2012-10-13 00:34:39 +02:00
<proof
prover="0"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.01"/>
</proof>
<proof
prover="2"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="6"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="7"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.03"/>
</proof>
2012-10-13 00:34:39 +02:00
</goal>
<goal
name="WP_parameter search.8"
locfile="../decrease1.mlw"
2012-10-13 00:34:39 +02:00
loclnum="23" loccnumb="6" loccnume="12"
2012-10-31 10:27:44 +01:00
expl="8. loop invariant preservation"
2014-03-13 17:39:51 +01:00
sum="faf8bbcbece44bdb5e52e8f10b04cb44"
2012-10-13 00:34:39 +02:00
proved="true"
expanded="true"
shape="loop invariant preservationNainfix =agetV1V4c0Iainfix &lt;V4V0Iainfix &lt;V4V3Aainfix &lt;=c0V4FIainfix =V3ainfix +V2agetV1V2FIainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V5c0Iainfix &lt;V5V0Iainfix &lt;V5V2Aainfix &lt;=c0V5FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
2012-10-13 00:34:39 +02:00
<label
2012-10-31 10:27:44 +01:00
name="expl:VC for search"/>
2012-10-13 00:34:39 +02:00
<proof
2013-01-30 19:44:34 +01:00
prover="5"
2012-10-13 00:34:39 +02:00
timelimit="10"
memlimit="0"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="6"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.09"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="7"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
2013-10-28 10:55:21 +01:00
<result status="valid" time="0.00"/>
</proof>
2012-10-13 00:34:39 +02:00
</goal>
<goal
name="WP_parameter search.9"
locfile="../decrease1.mlw"
2012-02-25 22:27:52 +01:00
loclnum="23" loccnumb="6" loccnume="12"
2012-10-31 10:27:44 +01:00
expl="9. loop variant decrease"
2014-03-13 17:39:51 +01:00
sum="9b249e8d9ed4e541967231800d5c921f"
2011-09-15 13:05:00 +02:00
proved="true"
2012-10-13 00:34:39 +02:00
expanded="true"
shape="loop variant decreaseainfix &lt;ainfix -V0V3ainfix -V0V2Aainfix &lt;=c0ainfix -V0V2Iainfix =V3ainfix +V2agetV1V2FIainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V4c0Iainfix &lt;V4V0Iainfix &lt;V4V2Aainfix &lt;=c0V4FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
2012-02-25 22:27:52 +01:00
<label
2012-10-31 10:27:44 +01:00
name="expl:VC for search"/>
2011-09-15 13:05:00 +02:00
<proof
prover="0"
timelimit="5"
memlimit="1000"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
2012-02-25 22:27:52 +01:00
prover="1"
2011-09-15 13:05:00 +02:00
timelimit="10"
2012-05-08 09:10:52 +02:00
memlimit="0"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
2012-09-03 16:28:52 +02:00
<result status="valid" time="0.01"/>
</proof>
2011-09-15 13:05:00 +02:00
<proof
prover="2"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
2011-09-15 13:05:00 +02:00
<proof
2013-01-30 19:44:34 +01:00
prover="5"
timelimit="10"
memlimit="0"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="6"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
2012-09-03 16:28:52 +02:00
<result status="valid" time="0.02"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="7"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
</goal>
<goal
name="WP_parameter search.10"
locfile="../decrease1.mlw"
2012-10-13 00:34:39 +02:00
loclnum="23" loccnumb="6" loccnume="12"
2012-10-31 10:27:44 +01:00
expl="10. loop invariant preservation"
2014-03-13 17:39:51 +01:00
sum="c37d2da43fd5c56dfacbf83a07b7a1eb"
2012-10-13 00:34:39 +02:00
proved="true"
2013-04-06 16:42:50 +02:00
expanded="true"
shape="loop invariant preservationainfix &lt;=c0V3Iainfix =V3ainfix +V2c1FINainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V4c0Iainfix &lt;V4V0Iainfix &lt;V4V2Aainfix &lt;=c0V4FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
2012-10-13 00:34:39 +02:00
<label
2012-10-31 10:27:44 +01:00
name="expl:VC for search"/>
2012-10-13 00:34:39 +02:00
<proof
prover="0"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
prover="2"
timelimit="5"
memlimit="1000"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
2012-09-03 16:28:52 +02:00
<result status="valid" time="0.01"/>
</proof>
2011-09-15 13:05:00 +02:00
<proof
2013-01-30 19:44:34 +01:00
prover="6"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
2012-10-13 00:34:39 +02:00
<result status="valid" time="0.02"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="7"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
</goal>
2011-09-15 13:05:00 +02:00
<goal
2012-10-13 00:34:39 +02:00
name="WP_parameter search.11"
locfile="../decrease1.mlw"
2012-10-13 00:34:39 +02:00
loclnum="23" loccnumb="6" loccnume="12"
2012-10-31 10:27:44 +01:00
expl="11. loop invariant preservation"
2014-03-13 17:39:51 +01:00
sum="5b98bbd0ba7d56dc35c8f0ae435d6d19"
2012-10-13 00:34:39 +02:00
proved="true"
expanded="true"
shape="loop invariant preservationNainfix =agetV1V4c0Iainfix &lt;V4V0Iainfix &lt;V4V3Aainfix &lt;=c0V4FIainfix =V3ainfix +V2c1FINainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V5c0Iainfix &lt;V5V0Iainfix &lt;V5V2Aainfix &lt;=c0V5FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
2012-10-13 00:34:39 +02:00
<label
2012-10-31 10:27:44 +01:00
name="expl:VC for search"/>
2012-10-13 00:34:39 +02:00
<proof
prover="0"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
<proof
prover="2"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="6"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="7"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
</goal>
<goal
name="WP_parameter search.12"
locfile="../decrease1.mlw"
2012-02-25 22:27:52 +01:00
loclnum="23" loccnumb="6" loccnume="12"
2012-10-31 10:27:44 +01:00
expl="12. loop variant decrease"
2014-03-13 17:39:51 +01:00
sum="b1bcede0bf23516c0942ca4cb35f41c3"
2011-09-15 13:05:00 +02:00
proved="true"
2012-10-13 00:34:39 +02:00
expanded="true"
shape="loop variant decreaseainfix &lt;ainfix -V0V3ainfix -V0V2Aainfix &lt;=c0ainfix -V0V2Iainfix =V3ainfix +V2c1FINainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V4c0Iainfix &lt;V4V0Iainfix &lt;V4V2Aainfix &lt;=c0V4FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
2012-02-25 22:27:52 +01:00
<label
2012-10-31 10:27:44 +01:00
name="expl:VC for search"/>
2011-09-15 13:05:00 +02:00
<proof
prover="0"
timelimit="5"
memlimit="1000"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
2012-10-06 00:00:50 +02:00
<result status="valid" time="0.01"/>
</proof>
2011-09-15 13:05:00 +02:00
<proof
prover="1"
timelimit="10"
memlimit="0"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
2012-10-13 00:34:39 +02:00
<result status="valid" time="0.01"/>
</proof>
<proof
prover="2"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.01"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="5"
timelimit="10"
memlimit="0"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="6"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
2012-10-13 00:34:39 +02:00
<proof
2013-01-30 19:44:34 +01:00
prover="7"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.03"/>
</proof>
</goal>
2011-09-15 13:05:00 +02:00
<goal
2012-10-13 00:34:39 +02:00
name="WP_parameter search.13"
locfile="../decrease1.mlw"
2012-02-25 22:27:52 +01:00
loclnum="23" loccnumb="6" loccnume="12"
2012-10-31 10:27:44 +01:00
expl="13. postcondition"
2014-03-13 17:39:51 +01:00
sum="7a44488495f2ef8a357c9b8b7e592ba3"
2011-09-15 13:05:00 +02:00
proved="true"
2012-10-13 00:34:39 +02:00
expanded="true"
shape="postconditionNainfix =agetV1V4c0Iainfix &lt;V4V3Aainfix &lt;=c0V4FAainfix =agetV1V3c0Aainfix &lt;V3V0Aainfix &lt;=c0V3ONainfix =agetV1V5c0Iainfix &lt;V5V0Aainfix &lt;=c0V5FAainfix =V3aprefix -c1Laprefix -c1INainfix &lt;V2V0INainfix =agetV1V6c0Iainfix &lt;V6V0Iainfix &lt;V6V2Aainfix &lt;=c0V6FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
2012-02-25 22:27:52 +01:00
<label
2012-10-31 10:27:44 +01:00
name="expl:VC for search"/>
2011-09-15 13:05:00 +02:00
<proof
prover="0"
timelimit="5"
memlimit="1000"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
2012-02-25 22:27:52 +01:00
prover="1"
2011-09-15 13:05:00 +02:00
timelimit="10"
2012-05-08 09:10:52 +02:00
memlimit="0"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
2012-09-03 16:28:52 +02:00
<result status="valid" time="0.01"/>
</proof>
2012-10-13 00:34:39 +02:00
<proof
prover="2"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.01"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="5"
timelimit="10"
memlimit="0"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="6"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="7"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
2012-10-06 00:00:50 +02:00
<result status="valid" time="0.02"/>
2011-05-23 14:33:51 +02:00
</proof>
</goal>
</transf>
</goal>
2011-09-15 13:05:00 +02:00
<goal
name="WP_parameter search_rec"
locfile="../decrease1.mlw"
2012-10-13 00:34:39 +02:00
loclnum="43" loccnumb="10" loccnume="20"
2012-10-31 10:27:44 +01:00
expl="VC for search_rec"
2014-03-13 17:39:51 +01:00
sum="1471d4e48ad8da58cf580cb200e830f9"
2011-09-15 13:05:00 +02:00
proved="true"
2012-10-13 00:34:39 +02:00
expanded="true"
2014-01-22 18:13:26 +01:00
shape="iNainfix =agetV1V5c0Iainfix &lt;V5V4Aainfix &lt;=V2V5FAainfix =agetV1V4c0Aainfix &lt;V4V0Aainfix &lt;=V2V4ONainfix =agetV1V6c0Iainfix &lt;V6V0Aainfix &lt;=V2V6FAainfix =V4aprefix -c1Laprefix -c1iiNainfix =agetV1V9c0Iainfix &lt;V9V8Aainfix &lt;=V2V9FAainfix =agetV1V8c0Aainfix &lt;V8V0Aainfix &lt;=V2V8ONainfix =agetV1V10c0Iainfix &lt;V10V0Aainfix &lt;=V2V10FAainfix =V8aprefix -c1INainfix =agetV1V11c0Iainfix &lt;V11V8Aainfix &lt;=V7V11FAainfix =agetV1V8c0Aainfix &lt;V8V0Aainfix &lt;=V7V8ONainfix =agetV1V12c0Iainfix &lt;V12V0Aainfix &lt;=V7V12FAainfix =V8aprefix -c1FAainfix &lt;=c0V7Aadecrease1V3Aainfix &lt;ainfix -V0V7ainfix -V0V2Aainfix &lt;=c0ainfix -V0V2Lainfix +V2c1Nainfix =agetV1V15c0Iainfix &lt;V15V14Aainfix &lt;=V2V15FAainfix =agetV1V14c0Aainfix &lt;V14V0Aainfix &lt;=V2V14ONainfix =agetV1V16c0Iainfix &lt;V16V0Aainfix &lt;=V2V16FAainfix =V14aprefix -c1INainfix =agetV1V17c0Iainfix &lt;V17V14Aainfix &lt;=V13V17FAainfix =agetV1V14c0Aainfix &lt;V14V0Aainfix &lt;=V13V14ONainfix =agetV1V18c0Iainfix &lt;V18V0Aainfix &lt;=V13V18FAainfix =V14aprefix -c1FAainfix &lt;=c0V13Aadecrease1V3Aainfix &lt;ainfix -V0V13ainfix -V0V2Aainfix &lt;=c0ainfix -V0V2Lainfix +V2agetV1V2Aainfix &lt;V2V0Aainfix &lt;=c0V2ainfix &gt;agetV1V2c0Aainfix &lt;V2V0Aainfix &lt;=c0V2Nainfix =agetV1V19c0Iainfix &lt;V19V2Aainfix &lt;=V2V19FAainfix =agetV1V2c0Aainfix &lt;V2V0Aainfix &lt;=V2V2ONainfix =agetV1V20c0Iainfix &lt;V20V0Aainfix &lt;=V2V20FAainfix =V2aprefix -c1ainfix =agetV1V2c0Aainfix &lt;V2V0Aainfix &lt;=c0V2ainfix &lt;V2V0Iainfix &lt;=c0V2Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V1F">
2012-02-25 22:27:52 +01:00
<label
2012-10-31 10:27:44 +01:00
name="expl:VC for search_rec"/>
2011-09-15 13:05:00 +02:00
<transf
name="split_goal"
proved="true"
2012-09-03 16:28:52 +02:00
expanded="true">
2011-09-15 13:05:00 +02:00
<goal
name="WP_parameter search_rec.1"
locfile="../decrease1.mlw"
2012-10-13 00:34:39 +02:00
loclnum="43" loccnumb="10" loccnume="20"
2014-03-13 17:39:51 +01:00
expl="1. index in array bounds"
sum="86d3bcbfad4acd3a6e7c26efff208491"
2011-09-15 13:05:00 +02:00
proved="true"
2012-10-13 00:34:39 +02:00
expanded="true"
2014-03-13 17:39:51 +01:00
shape="index in array boundsainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0Iainfix &lt;=c0V2Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V1F">
2012-02-25 22:27:52 +01:00
<label
2012-10-31 10:27:44 +01:00
name="expl:VC for search_rec"/>
2011-09-15 13:05:00 +02:00
<proof
prover="0"
timelimit="5"
memlimit="1000"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
2012-09-03 16:28:52 +02:00
<result status="valid" time="0.01"/>
</proof>
<proof
prover="1"
timelimit="10"
memlimit="0"
obsolete="false"
archived="false">
2012-09-03 16:28:52 +02:00
<result status="valid" time="0.01"/>
</proof>
2012-10-13 00:34:39 +02:00
<proof
prover="2"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.01"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="5"
timelimit="10"
memlimit="0"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="6"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="7"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
</goal>
<goal
name="WP_parameter search_rec.2"
locfile="../decrease1.mlw"
2012-10-13 00:34:39 +02:00
loclnum="43" loccnumb="10" loccnume="20"
2012-10-31 10:27:44 +01:00
expl="2. postcondition"
2014-03-13 17:39:51 +01:00
sum="dd60b69ba2ca3e5b45a90805d208fc3f"
proved="true"
2012-10-13 00:34:39 +02:00
expanded="true"
shape="postconditionNainfix =agetV1V4c0Iainfix &lt;V4V2Aainfix &lt;=V2V4FAainfix =agetV1V2c0Aainfix &lt;V2V0Aainfix &lt;=V2V2ONainfix =agetV1V5c0Iainfix &lt;V5V0Aainfix &lt;=V2V5FAainfix =V2aprefix -c1Iainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0Iainfix &lt;=c0V2Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V1F">
<label
2012-10-31 10:27:44 +01:00
name="expl:VC for search_rec"/>
<proof
prover="0"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
prover="1"
timelimit="10"
memlimit="0"
obsolete="false"
archived="false">
2012-09-03 16:28:52 +02:00
<result status="valid" time="0.01"/>
</proof>
2012-10-13 00:34:39 +02:00
<proof
prover="2"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="5"
timelimit="10"
memlimit="0"
obsolete="false"
archived="false">
<result status="valid" time="0.01"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="6"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="7"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
</goal>
<goal
name="WP_parameter search_rec.3"
locfile="../decrease1.mlw"
2012-10-13 00:34:39 +02:00
loclnum="43" loccnumb="10" loccnume="20"
2014-03-13 17:39:51 +01:00
expl="3. index in array bounds"
sum="0761fe5ee1a172a6329c3f7b8a23b0a8"
proved="true"
2012-10-13 00:34:39 +02:00
expanded="true"
2014-03-13 17:39:51 +01:00
shape="index in array boundsainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0Iainfix &lt;=c0V2Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V1F">
<label
2012-10-31 10:27:44 +01:00
name="expl:VC for search_rec"/>
<proof
prover="0"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
2014-03-13 17:39:51 +01:00
<result status="valid" time="0.01"/>
</proof>
<proof
prover="1"
timelimit="10"
memlimit="0"
obsolete="false"
archived="false">
2012-10-13 00:34:39 +02:00
<result status="valid" time="0.00"/>
</proof>
2012-10-13 00:34:39 +02:00
<proof
prover="2"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
2014-03-13 17:39:51 +01:00
<result status="valid" time="0.01"/>
2012-10-13 00:34:39 +02:00
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="5"
timelimit="10"
memlimit="0"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="6"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="7"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
2012-10-06 00:00:50 +02:00
<result status="valid" time="0.00"/>
</proof>
</goal>
2012-07-19 11:15:20 +02:00
<goal
name="WP_parameter search_rec.4"
locfile="../decrease1.mlw"
2012-10-13 00:34:39 +02:00
loclnum="43" loccnumb="10" loccnume="20"
2014-03-13 17:39:51 +01:00
expl="4. index in array bounds"
sum="b45e8534c82dfdccc677a1ff0f0c69a5"
2012-07-19 11:15:20 +02:00
proved="true"
2012-10-13 00:34:39 +02:00
expanded="true"
2014-03-13 17:39:51 +01:00
shape="index in array boundsainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0Iainfix &lt;=c0V2Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V1F">
2012-07-19 11:15:20 +02:00
<label
2012-10-31 10:27:44 +01:00
name="expl:VC for search_rec"/>
2012-07-19 11:15:20 +02:00
<proof
prover="0"
timelimit="5"
memlimit="1000"
2012-07-19 11:15:20 +02:00
obsolete="false"
archived="false">
2014-03-13 17:39:51 +01:00
<result status="valid" time="0.00"/>
2012-07-19 11:15:20 +02:00
</proof>
<proof
prover="1"
timelimit="10"
memlimit="0"
obsolete="false"
archived="false">
2012-10-13 00:34:39 +02:00
<result status="valid" time="0.00"/>
2012-07-19 11:15:20 +02:00
</proof>
2012-10-13 00:34:39 +02:00
<proof
prover="2"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
2014-03-13 17:39:51 +01:00
<result status="valid" time="0.00"/>
2012-10-13 00:34:39 +02:00
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="5"
timelimit="10"
memlimit="0"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="6"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="7"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
2012-07-19 11:15:20 +02:00
</goal>
2011-09-15 13:05:00 +02:00
<goal
name="WP_parameter search_rec.5"
locfile="../decrease1.mlw"
2012-10-13 00:34:39 +02:00
loclnum="43" loccnumb="10" loccnume="20"
2014-01-22 18:13:26 +01:00
expl="5. variant decrease"
2014-03-13 17:39:51 +01:00
sum="acdd551cacc39deda21af09540deb202"
2014-01-22 18:13:26 +01:00
proved="true"
expanded="false"
shape="variant decreaseainfix &lt;ainfix -V0V4ainfix -V0V2Aainfix &lt;=c0ainfix -V0V2Lainfix +V2agetV1V2Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0Iainfix &lt;=c0V2Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V1F">
<label
name="expl:VC for search_rec"/>
<proof
prover="0"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
</goal>
<goal
name="WP_parameter search_rec.6"
locfile="../decrease1.mlw"
loclnum="43" loccnumb="10" loccnume="20"
expl="6. precondition"
2014-03-13 17:39:51 +01:00
sum="a49d4deba56e50ca672244f645ec3cd5"
2011-09-15 13:05:00 +02:00
proved="true"
2012-10-13 00:34:39 +02:00
expanded="true"
shape="preconditionainfix &lt;=c0V4Aadecrease1V3Lainfix +V2agetV1V2Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0Iainfix &lt;=c0V2Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V1F">
2012-02-25 22:27:52 +01:00
<label
2012-10-31 10:27:44 +01:00
name="expl:VC for search_rec"/>
2011-09-20 11:19:48 +02:00
<proof
prover="0"
timelimit="5"
memlimit="1000"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
2012-10-06 00:00:50 +02:00
<result status="valid" time="0.01"/>
2011-09-20 11:19:48 +02:00
</proof>
2011-11-04 17:30:52 +01:00
<proof
prover="1"
timelimit="10"
memlimit="0"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
2012-07-20 14:27:41 +02:00
<result status="valid" time="0.01"/>
2011-11-04 17:30:52 +01:00
</proof>
2012-10-13 00:34:39 +02:00
<proof
prover="2"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="5"
timelimit="10"
memlimit="0"
2012-10-13 00:34:39 +02:00
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
2012-10-13 00:34:39 +02:00
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="6"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="7"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.03"/>
</proof>
2011-11-04 17:30:52 +01:00
</goal>
2013-04-06 16:42:50 +02:00
<goal
2014-01-22 18:13:26 +01:00
name="WP_parameter search_rec.7"
2013-04-06 16:42:50 +02:00
locfile="../decrease1.mlw"
loclnum="43" loccnumb="10" loccnume="20"
2014-01-22 18:13:26 +01:00
expl="7. postcondition"
2014-03-13 17:39:51 +01:00
sum="b3d42bbcf96028b267eef724c11d28dd"
2013-04-06 16:42:50 +02:00
proved="true"
expanded="true"
shape="postconditionNainfix =agetV1V6c0Iainfix &lt;V6V5Aainfix &lt;=V2V6FAainfix =agetV1V5c0Aainfix &lt;V5V0Aainfix &lt;=V2V5ONainfix =agetV1V7c0Iainfix &lt;V7V0Aainfix &lt;=V2V7FAainfix =V5aprefix -c1INainfix =agetV1V8c0Iainfix &lt;V8V5Aainfix &lt;=V4V8FAainfix =agetV1V5c0Aainfix &lt;V5V0Aainfix &lt;=V4V5ONainfix =agetV1V9c0Iainfix &lt;V9V0Aainfix &lt;=V4V9FAainfix =V5aprefix -c1FIainfix &lt;=c0V4Aadecrease1V3Lainfix +V2agetV1V2Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0Iainfix &lt;=c0V2Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V1F">
2013-04-06 16:42:50 +02:00
<label
name="expl:VC for search_rec"/>
<proof
prover="3"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.04"/>
</proof>
<proof
prover="6"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
2013-11-09 01:05:39 +01:00
<result status="valid" time="0.21"/>
2013-04-06 16:42:50 +02:00
</proof>
</goal>
<goal
2014-01-22 18:13:26 +01:00
name="WP_parameter search_rec.8"
2013-04-06 16:42:50 +02:00
locfile="../decrease1.mlw"
loclnum="43" loccnumb="10" loccnume="20"
2014-01-22 18:13:26 +01:00
expl="8. variant decrease"
2014-03-13 17:39:51 +01:00
sum="455954821db1ae85815da492be72f369"
2014-01-22 18:13:26 +01:00
proved="true"
expanded="false"
shape="variant decreaseainfix &lt;ainfix -V0V4ainfix -V0V2Aainfix &lt;=c0ainfix -V0V2Lainfix +V2c1INainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0Iainfix &lt;=c0V2Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V1F">
<label
name="expl:VC for search_rec"/>
<proof
prover="0"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.03"/>
</proof>
</goal>
<goal
name="WP_parameter search_rec.9"
locfile="../decrease1.mlw"
loclnum="43" loccnumb="10" loccnume="20"
expl="9. precondition"
2014-03-13 17:39:51 +01:00
sum="4134912c0ad3ad03a5404a4b61ab6918"
2013-04-06 16:42:50 +02:00
proved="true"
expanded="true"
shape="preconditionainfix &lt;=c0V4Aadecrease1V3Lainfix +V2c1INainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0Iainfix &lt;=c0V2Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V1F">
2013-04-06 16:42:50 +02:00
<label
name="expl:VC for search_rec"/>
<proof
prover="0"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.01"/>
</proof>
<proof
prover="1"
timelimit="10"
memlimit="0"
obsolete="false"
archived="false">
<result status="valid" time="0.01"/>
</proof>
<proof
prover="2"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.01"/>
</proof>
<proof
prover="5"
timelimit="10"
memlimit="0"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
<proof
prover="6"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
<proof
prover="7"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.01"/>
</proof>
</goal>
2011-11-04 17:30:52 +01:00
<goal
2014-01-22 18:13:26 +01:00
name="WP_parameter search_rec.10"
locfile="../decrease1.mlw"
2012-10-13 00:34:39 +02:00
loclnum="43" loccnumb="10" loccnume="20"
2014-01-22 18:13:26 +01:00
expl="10. postcondition"
2014-03-13 17:39:51 +01:00
sum="5d9bdff2309eff0e7e49fed477102fec"
2011-11-04 17:30:52 +01:00
proved="true"
2012-10-13 00:34:39 +02:00
expanded="true"
shape="postconditionNainfix =agetV1V6c0Iainfix &lt;V6V5Aainfix &lt;=V2V6FAainfix =agetV1V5c0Aainfix &lt;V5V0Aainfix &lt;=V2V5ONainfix =agetV1V7c0Iainfix &lt;V7V0Aainfix &lt;=V2V7FAainfix =V5aprefix -c1INainfix =agetV1V8c0Iainfix &lt;V8V5Aainfix &lt;=V4V8FAainfix =agetV1V5c0Aainfix &lt;V5V0Aainfix &lt;=V4V5ONainfix =agetV1V9c0Iainfix &lt;V9V0Aainfix &lt;=V4V9FAainfix =V5aprefix -c1FIainfix &lt;=c0V4Aadecrease1V3Lainfix +V2c1INainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0Iainfix &lt;=c0V2Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V1F">
2013-04-06 16:42:50 +02:00
<label
name="expl:VC for search_rec"/>
<proof
prover="0"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.01"/>
</proof>
<proof
prover="2"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.01"/>
</proof>
<proof
prover="6"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
<proof
prover="7"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.01"/>
</proof>
</goal>
<goal
2014-01-22 18:13:26 +01:00
name="WP_parameter search_rec.11"
2013-04-06 16:42:50 +02:00
locfile="../decrease1.mlw"
loclnum="43" loccnumb="10" loccnume="20"
2014-01-22 18:13:26 +01:00
expl="11. postcondition"
2014-03-13 17:39:51 +01:00
sum="a650bc7ae63562c25b0e48750a1f8c9c"
2013-04-06 16:42:50 +02:00
proved="true"
expanded="true"
shape="postconditionNainfix =agetV1V5c0Iainfix &lt;V5V4Aainfix &lt;=V2V5FAainfix =agetV1V4c0Aainfix &lt;V4V0Aainfix &lt;=V2V4ONainfix =agetV1V6c0Iainfix &lt;V6V0Aainfix &lt;=V2V6FAainfix =V4aprefix -c1Laprefix -c1INainfix &lt;V2V0Iainfix &lt;=c0V2Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V1F">
2012-02-25 22:27:52 +01:00
<label
2012-10-31 10:27:44 +01:00
name="expl:VC for search_rec"/>
2011-11-04 17:30:52 +01:00
<proof
prover="0"
timelimit="5"
memlimit="1000"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
<proof
2012-02-25 22:27:52 +01:00
prover="1"
2011-11-04 17:30:52 +01:00
timelimit="10"
2012-05-08 09:10:52 +02:00
memlimit="0"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
2012-10-06 00:00:50 +02:00
<result status="valid" time="0.01"/>
2011-11-04 17:30:52 +01:00
</proof>
2012-10-13 00:34:39 +02:00
<proof
prover="2"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="5"
timelimit="10"
memlimit="0"
obsolete="false"
archived="false">
<result status="valid" time="0.03"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="6"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.02"/>
</proof>
<proof
2013-01-30 19:44:34 +01:00
prover="7"
2012-10-13 00:34:39 +02:00
timelimit="5"
memlimit="1000"
2012-02-25 22:27:52 +01:00
obsolete="false"
archived="false">
2012-09-03 16:28:52 +02:00
<result status="valid" time="0.02"/>
</proof>
</goal>
</transf>
</goal>
</theory>
</file>
</why3session>