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why3/examples/decrease1/why3session.xml

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<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE why3session PUBLIC "-//Why3//proof session v2//EN" "http://why3.lri.fr/why3session.dtd">
<why3session shape_version="3">
<prover
id="0"
name="Alt-Ergo"
version="0.95.1"/>
<prover
id="1"
name="CVC3"
version="2.2"/>
<prover
id="2"
name="CVC3"
version="2.4.1"/>
<prover
id="3"
name="CVC4"
version="1.2"/>
<prover
id="4"
name="Coq"
version="8.4pl2"/>
<prover
id="5"
name="Z3"
version="2.19"/>
<prover
id="6"
name="Z3"
version="3.2"/>
<prover
id="7"
name="Z3"
version="4.3.1"/>
<file
name="../decrease1.mlw"
verified="true"
expanded="true">
<theory
name="Decrease1"
locfile="../decrease1.mlw"
loclnum="8" loccnumb="7" loccnume="16"
verified="true"
expanded="true">
<goal
name="decrease1_induction"
locfile="../decrease1.mlw"
loclnum="17" loccnumb="8" loccnume="27"
sum="b0d831566a94dd42620649d88e05e837"
proved="true"
expanded="true"
shape="ainfix &gt;=amixfix []V0V2ainfix -ainfix +amixfix []V0V1V1V2Iainfix &lt;V2alengthV0Aainfix &lt;=V1V2Aainfix &lt;=c0V1FIadecrease1V0F">
<proof
prover="4"
timelimit="10"
memlimit="0"
edited="decrease1_Decrease1_decrease1_induction_2.v"
obsolete="false"
archived="false">
<result status="valid" time="1.24"/>
</proof>
</goal>
<goal
name="WP_parameter search"
locfile="../decrease1.mlw"
loclnum="23" loccnumb="6" loccnume="12"
expl="VC for search"
sum="432eb962f15c45688a83c09cce32117a"
proved="true"
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">
<label
name="expl:VC for search"/>
<transf
name="split_goal"
proved="true"
expanded="true">
<goal
name="WP_parameter search.1"
locfile="../decrease1.mlw"
loclnum="23" loccnumb="6" loccnume="12"
expl="1. loop invariant init"
sum="177384f95b6c69a9ae178b70de56f30d"
proved="true"
expanded="true"
shape="loop invariant initainfix &lt;=c0c0Iadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
<label
name="expl:VC for search"/>
<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
prover="6"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
prover="7"
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"
loclnum="23" loccnumb="6" loccnume="12"
expl="2. loop invariant init"
sum="120d7534ff26ca65a761f882f8f7d6e9"
proved="true"
expanded="true"
shape="loop invariant initNainfix =agetV1V2c0Iainfix &lt;V2V0Iainfix &lt;V2c0Aainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
<label
name="expl:VC for search"/>
<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">
<result status="valid" time="0.01"/>
</proof>
<proof
prover="2"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
prover="5"
timelimit="10"
memlimit="0"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
prover="6"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
prover="7"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
</goal>
<goal
name="WP_parameter search.3"
locfile="../decrease1.mlw"
loclnum="23" loccnumb="6" loccnume="12"
expl="3. precondition"
sum="1c574eff0a09304a0c8070623f82e079"
proved="true"
expanded="true"
shape="preconditionainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V3c0Iainfix &lt;V3V0Iainfix &lt;V3V2Aainfix &lt;=c0V3FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
<label
name="expl:VC for search"/>
<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="0.00"/>
</proof>
<proof
prover="5"
timelimit="10"
memlimit="0"
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="0.03"/>
</proof>
</goal>
<goal
name="WP_parameter search.4"
locfile="../decrease1.mlw"
loclnum="23" loccnumb="6" loccnume="12"
expl="4. postcondition"
sum="e41b716e831b2628beacc56018aa4108"
proved="true"
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">
<label
name="expl:VC for search"/>
<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="0.02"/>
</proof>
<proof
prover="5"
timelimit="10"
memlimit="0"
obsolete="false"
archived="false">
<result status="valid" time="0.03"/>
</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="0.02"/>
</proof>
</goal>
<goal
name="WP_parameter search.5"
locfile="../decrease1.mlw"
loclnum="23" loccnumb="6" loccnume="12"
expl="5. precondition"
sum="ea6b13b7597106808970f7e14c076261"
proved="true"
expanded="true"
shape="preconditionainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V3c0Iainfix &lt;V3V0Iainfix &lt;V3V2Aainfix &lt;=c0V3FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
<label
name="expl:VC for search"/>
<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="0.00"/>
</proof>
<proof
prover="6"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
prover="7"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
</goal>
<goal
name="WP_parameter search.6"
locfile="../decrease1.mlw"
loclnum="23" loccnumb="6" loccnume="12"
expl="6. precondition"
sum="c122160bb3c4251395a160d927155eaa"
proved="true"
expanded="true"
shape="preconditionainfix &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">
<label
name="expl:VC for search"/>
<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="0.00"/>
</proof>
<proof
prover="6"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
prover="7"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
</goal>
<goal
name="WP_parameter search.7"
locfile="../decrease1.mlw"
loclnum="23" loccnumb="6" loccnume="12"
expl="7. loop invariant preservation"
sum="2c8a28e6d104c7c529dcbfc803552a5c"
proved="true"
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">
<label
name="expl:VC for search"/>
<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
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="0.03"/>
</proof>
</goal>
<goal
name="WP_parameter search.8"
locfile="../decrease1.mlw"
loclnum="23" loccnumb="6" loccnume="12"
expl="8. loop invariant preservation"
sum="a26d567c2205ea9bf3be0f4e727878ae"
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">
<label
name="expl:VC for search"/>
<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="0.09"/>
</proof>
<proof
prover="7"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.12"/>
</proof>
</goal>
<goal
name="WP_parameter search.9"
locfile="../decrease1.mlw"
loclnum="23" loccnumb="6" loccnume="12"
expl="9. loop variant decrease"
sum="980f577891151aed17784b10a6792f6c"
proved="true"
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">
<label
name="expl:VC for search"/>
<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">
<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
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="0.02"/>
</proof>
</goal>
<goal
name="WP_parameter search.10"
locfile="../decrease1.mlw"
loclnum="23" loccnumb="6" loccnume="12"
expl="10. loop invariant preservation"
sum="c7802c4eab2ad6262e4ebf30f372f453"
proved="true"
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">
<label
name="expl:VC for search"/>
<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="0.01"/>
</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="0.02"/>
</proof>
</goal>
<goal
name="WP_parameter search.11"
locfile="../decrease1.mlw"
loclnum="23" loccnumb="6" loccnume="12"
expl="11. loop invariant preservation"
sum="724ac7f902af41bf2111e00f3e9bc04a"
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">
<label
name="expl:VC for search"/>
<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
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="0.02"/>
</proof>
</goal>
<goal
name="WP_parameter search.12"
locfile="../decrease1.mlw"
loclnum="23" loccnumb="6" loccnume="12"
expl="12. loop variant decrease"
sum="2b4eee16aa33004b1da73593b1dd9d33"
proved="true"
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">
<label
name="expl:VC for search"/>
<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="0.03"/>
</proof>
</goal>
<goal
name="WP_parameter search.13"
locfile="../decrease1.mlw"
loclnum="23" loccnumb="6" loccnume="12"
expl="13. postcondition"
sum="2ede907bf8509614a99f9b8d8dc31135"
proved="true"
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">
<label
name="expl:VC for search"/>
<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">
<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="0.02"/>
</proof>
</goal>
</transf>
</goal>
<goal
name="WP_parameter search_rec"
locfile="../decrease1.mlw"
loclnum="43" loccnumb="10" loccnume="20"
expl="VC for search_rec"
sum="24f452d096c6437d266af5d53d310313"
proved="true"
expanded="true"
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;=c0V7Aadecrease1V3Lainfix +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;=c0V13Aadecrease1V3Lainfix +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">
<label
name="expl:VC for search_rec"/>
<transf
name="split_goal"
proved="true"
expanded="true">
<goal
name="WP_parameter search_rec.1"
locfile="../decrease1.mlw"
loclnum="43" loccnumb="10" loccnume="20"
expl="1. precondition"
sum="bb3c05c010970df8195be101e6f8c444"
proved="true"
expanded="true"
shape="preconditionainfix &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="0.01"/>
</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="0.02"/>
</proof>
</goal>
<goal
name="WP_parameter search_rec.2"
locfile="../decrease1.mlw"
loclnum="43" loccnumb="10" loccnume="20"
expl="2. postcondition"
sum="695a251b998964cb41a1a64b2358a5bf"
proved="true"
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
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">
<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
prover="5"
timelimit="10"
memlimit="0"
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="0.02"/>
</proof>
</goal>
<goal
name="WP_parameter search_rec.3"
locfile="../decrease1.mlw"
loclnum="43" loccnumb="10" loccnume="20"
expl="3. precondition"
sum="3b059aa1f02b6aa0c3869ab25da3075f"
proved="true"
expanded="true"
shape="preconditionainfix &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="0.00"/>
</proof>
<proof
prover="1"
timelimit="10"
memlimit="0"
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
prover="5"
timelimit="10"
memlimit="0"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
prover="6"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
prover="7"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
</goal>
<goal
name="WP_parameter search_rec.4"
locfile="../decrease1.mlw"
loclnum="43" loccnumb="10" loccnume="20"
expl="4. precondition"
sum="b65d99fda42d1a5a373b0a1f1827438f"
proved="true"
expanded="true"
shape="preconditionainfix &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="0.01"/>
</proof>
<proof
prover="1"
timelimit="10"
memlimit="0"
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="0.01"/>
</proof>
<proof
prover="5"
timelimit="10"
memlimit="0"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
prover="6"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
<proof
prover="7"
timelimit="5"
memlimit="1000"
obsolete="false"
archived="false">
<result status="valid" time="0.00"/>
</proof>
</goal>
<goal
name="WP_parameter search_rec.5"
locfile="../decrease1.mlw"
loclnum="43" loccnumb="10" loccnume="20"
expl="5. precondition"
sum="3ef83ae8a5774857d093648b3c944318"
proved="true"
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">
<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="0.00"/>
</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="0.03"/>
</proof>
</goal>
<goal
name="WP_parameter search_rec.6"
locfile="../decrease1.mlw"
loclnum="43" loccnumb="10" loccnume="20"
expl="6. postcondition"
sum="53d8a3d577bc285400817debfb25dd57"
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">
<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">
<result status="valid" time="0.05"/>
</proof>
</goal>
<goal
name="WP_parameter search_rec.7"
locfile="../decrease1.mlw"
loclnum="43" loccnumb="10" loccnume="20"
expl="7. precondition"
sum="78eedc83e56f3d416e510722f1d0f99d"
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">
<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>
<goal
name="WP_parameter search_rec.8"
locfile="../decrease1.mlw"
loclnum="43" loccnumb="10" loccnume="20"
expl="8. postcondition"
sum="b0ce1aa1571ca8799dc554f9a1705c29"
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 +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="0.01"/>
</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
name="WP_parameter search_rec.9"
locfile="../decrease1.mlw"
loclnum="43" loccnumb="10" loccnume="20"
expl="9. postcondition"
sum="dba1fbbff74e82a56107b076856cbc82"
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">
<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>
<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="0.02"/>
</proof>
<proof
prover="5"
timelimit="10"
memlimit="0"
obsolete="false"
archived="false">
<result status="valid" time="0.03"/>
</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="0.02"/>
</proof>
</goal>
</transf>
</goal>
</theory>
</file>
</why3session>
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