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<?xml version="1.0" encoding="UTF-8"?>
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<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
"http://why3.lri.fr/why3session.dtd">
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<why3session shape_version="4">
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<prover id="2" name="CVC4" version="1.4" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="5" name="Alt-Ergo" version="1.30" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="8" name="Z3" version="4.5.0" timelimit="1" steplimit="0" memlimit="1000"/>
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<file name="../mergesort_queue.mlw" expanded="true">
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<theory name="MergesortQueue" sum="3c38c1216cfab92b40972e70acecfeff" expanded="true">
 <goal name="Transitive.Trans" expl="">
 <proof prover="5"><result status="valid" time="0.01" steps="5"/></proof>
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 </goal>
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 <goal name="WP_parameter merge" expl="VC for merge">
 <transf name="split_goal_wp">
  <goal name="WP_parameter merge.1" expl="loop invariant init">
  <proof prover="5"><result status="valid" time="0.01" steps="5"/></proof>
  </goal>
  <goal name="WP_parameter merge.2" expl="loop invariant init">
  <proof prover="5"><result status="valid" time="0.01" steps="9"/></proof>
  </goal>
  <goal name="WP_parameter merge.3" expl="loop invariant init">
  <proof prover="5"><result status="valid" time="0.01" steps="9"/></proof>
  </goal>
  <goal name="WP_parameter merge.4" expl="loop invariant init">
  <proof prover="5"><result status="valid" time="0.01" steps="7"/></proof>
  </goal>
  <goal name="WP_parameter merge.5" expl="precondition">
  <proof prover="5"><result status="valid" time="0.01" steps="10"/></proof>
  </goal>
  <goal name="WP_parameter merge.6" expl="loop invariant preservation">
  <proof prover="5"><result status="valid" time="0.01" steps="10"/></proof>
  </goal>
  <goal name="WP_parameter merge.7" expl="loop invariant preservation">
  <proof prover="5"><result status="valid" time="0.00" steps="10"/></proof>
  </goal>
  <goal name="WP_parameter merge.8" expl="loop invariant preservation">
  <proof prover="5"><result status="valid" time="0.00" steps="10"/></proof>
  </goal>
  <goal name="WP_parameter merge.9" expl="loop invariant preservation">
  <proof prover="5"><result status="valid" time="0.01" steps="10"/></proof>
  </goal>
  <goal name="WP_parameter merge.10" expl="loop variant decrease">
  <proof prover="5"><result status="valid" time="0.01" steps="10"/></proof>
  </goal>
  <goal name="WP_parameter merge.11" expl="precondition">
  <proof prover="5"><result status="valid" time="0.01" steps="13"/></proof>
  </goal>
  <goal name="WP_parameter merge.12" expl="loop invariant preservation">
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  <proof prover="5"><result status="valid" time="1.05" steps="2499"/></proof>
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  </goal>
  <goal name="WP_parameter merge.13" expl="loop invariant preservation">
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  <proof prover="5"><result status="valid" time="0.13" steps="518"/></proof>
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  </goal>
  <goal name="WP_parameter merge.14" expl="loop invariant preservation">
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  <proof prover="5"><result status="valid" time="0.03" steps="82"/></proof>
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  </goal>
  <goal name="WP_parameter merge.15" expl="loop invariant preservation">
  <proof prover="5"><result status="valid" time="0.17" steps="277"/></proof>
  </goal>
  <goal name="WP_parameter merge.16" expl="loop variant decrease">
  <proof prover="5"><result status="valid" time="0.01" steps="21"/></proof>
  </goal>
  <goal name="WP_parameter merge.17" expl="precondition">
  <proof prover="5"><result status="valid" time="0.01" steps="13"/></proof>
  </goal>
  <goal name="WP_parameter merge.18" expl="precondition">
  <proof prover="5"><result status="valid" time="0.01" steps="16"/></proof>
  </goal>
  <goal name="WP_parameter merge.19" expl="precondition">
  <proof prover="5"><result status="valid" time="0.01" steps="19"/></proof>
  </goal>
  <goal name="WP_parameter merge.20" expl="loop invariant preservation">
  <proof prover="5"><result status="valid" time="0.97" steps="2701"/></proof>
  </goal>
  <goal name="WP_parameter merge.21" expl="loop invariant preservation">
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  <proof prover="5"><result status="valid" time="0.15" steps="787"/></proof>
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  </goal>
  <goal name="WP_parameter merge.22" expl="loop invariant preservation">
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  <proof prover="8"><result status="valid" time="0.13"/></proof>
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  </goal>
  <goal name="WP_parameter merge.23" expl="loop invariant preservation">
  <proof prover="5"><result status="valid" time="0.28" steps="308"/></proof>
  </goal>
  <goal name="WP_parameter merge.24" expl="loop variant decrease">
  <proof prover="5"><result status="valid" time="0.02" steps="73"/></proof>
  </goal>
  <goal name="WP_parameter merge.25" expl="precondition">
  <proof prover="5"><result status="valid" time="0.01" steps="19"/></proof>
  </goal>
  <goal name="WP_parameter merge.26" expl="loop invariant preservation">
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  <proof prover="5"><result status="valid" time="0.90" steps="2989"/></proof>
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  </goal>
  <goal name="WP_parameter merge.27" expl="loop invariant preservation">
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  <proof prover="8"><result status="valid" time="0.14"/></proof>
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  </goal>
  <goal name="WP_parameter merge.28" expl="loop invariant preservation">
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  <proof prover="5"><result status="valid" time="0.15" steps="791"/></proof>
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  </goal>
  <goal name="WP_parameter merge.29" expl="loop invariant preservation">
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  <proof prover="8" timelimit="10" memlimit="4000"><result status="valid" time="1.02"/></proof>
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  </goal>
  <goal name="WP_parameter merge.30" expl="loop variant decrease">
  <proof prover="5"><result status="valid" time="0.03" steps="74"/></proof>
  </goal>
  <goal name="WP_parameter merge.31" expl="precondition">
  <proof prover="5"><result status="valid" time="0.00" steps="13"/></proof>
  </goal>
  <goal name="WP_parameter merge.32" expl="loop invariant preservation">
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  <proof prover="5"><result status="valid" time="1.02" steps="3336"/></proof>
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  </goal>
  <goal name="WP_parameter merge.33" expl="loop invariant preservation">
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  <proof prover="5"><result status="valid" time="0.03" steps="83"/></proof>
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  </goal>
  <goal name="WP_parameter merge.34" expl="loop invariant preservation">
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  <proof prover="5"><result status="valid" time="0.12" steps="531"/></proof>
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  </goal>
  <goal name="WP_parameter merge.35" expl="loop invariant preservation">
  <proof prover="5"><result status="valid" time="0.16" steps="277"/></proof>
  </goal>
  <goal name="WP_parameter merge.36" expl="loop variant decrease">
  <proof prover="5"><result status="valid" time="0.01" steps="21"/></proof>
  </goal>
  <goal name="WP_parameter merge.37" expl="precondition">
  <proof prover="5"><result status="valid" time="0.00" steps="12"/></proof>
  </goal>
  <goal name="WP_parameter merge.38" expl="loop invariant preservation">
  <proof prover="5"><result status="valid" time="0.01" steps="12"/></proof>
  </goal>
  <goal name="WP_parameter merge.39" expl="loop invariant preservation">
  <proof prover="5"><result status="valid" time="0.01" steps="12"/></proof>
  </goal>
  <goal name="WP_parameter merge.40" expl="loop invariant preservation">
  <proof prover="5"><result status="valid" time="0.01" steps="12"/></proof>
  </goal>
  <goal name="WP_parameter merge.41" expl="loop invariant preservation">
  <proof prover="5"><result status="valid" time="0.00" steps="12"/></proof>
  </goal>
  <goal name="WP_parameter merge.42" expl="loop variant decrease">
  <proof prover="5"><result status="valid" time="0.01" steps="12"/></proof>
  </goal>
  <goal name="WP_parameter merge.43" expl="precondition">
  <proof prover="5"><result status="valid" time="0.01" steps="14"/></proof>
  </goal>
  <goal name="WP_parameter merge.44" expl="precondition">
  <proof prover="5"><result status="valid" time="0.01" steps="17"/></proof>
  </goal>
  <goal name="WP_parameter merge.45" expl="precondition">
  <proof prover="5"><result status="valid" time="0.01" steps="20"/></proof>
  </goal>
  <goal name="WP_parameter merge.46" expl="loop invariant preservation">
  <proof prover="5"><result status="valid" time="0.01" steps="26"/></proof>
  </goal>
  <goal name="WP_parameter merge.47" expl="loop invariant preservation">
  <proof prover="5"><result status="valid" time="0.01" steps="29"/></proof>
  </goal>
  <goal name="WP_parameter merge.48" expl="loop invariant preservation">
  <proof prover="5"><result status="valid" time="0.01" steps="29"/></proof>
  </goal>
  <goal name="WP_parameter merge.49" expl="loop invariant preservation">
  <proof prover="5"><result status="valid" time="0.02" steps="50"/></proof>
  </goal>
  <goal name="WP_parameter merge.50" expl="loop variant decrease">
  <proof prover="5"><result status="valid" time="0.01" steps="27"/></proof>
  </goal>
  <goal name="WP_parameter merge.51" expl="precondition">
  <proof prover="5"><result status="valid" time="0.01" steps="20"/></proof>
  </goal>
  <goal name="WP_parameter merge.52" expl="loop invariant preservation">
  <proof prover="5"><result status="valid" time="0.01" steps="26"/></proof>
  </goal>
  <goal name="WP_parameter merge.53" expl="loop invariant preservation">
  <proof prover="5"><result status="valid" time="0.01" steps="29"/></proof>
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  </goal>
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  <goal name="WP_parameter merge.54" expl="loop invariant preservation">
  <proof prover="5"><result status="valid" time="0.01" steps="29"/></proof>
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  </goal>
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  <goal name="WP_parameter merge.55" expl="loop invariant preservation">
  <proof prover="5"><result status="valid" time="0.02" steps="50"/></proof>
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  </goal>
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  <goal name="WP_parameter merge.56" expl="loop variant decrease">
  <proof prover="5"><result status="valid" time="0.01" steps="28"/></proof>
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  </goal>
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  <goal name="WP_parameter merge.57" expl="postcondition">
  <proof prover="5"><result status="valid" time="0.00" steps="11"/></proof>
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  </goal>
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  <goal name="WP_parameter merge.58" expl="postcondition">
  <proof prover="5"><result status="valid" time="0.04" steps="75"/></proof>
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  </goal>
 </transf>
 </goal>
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 <goal name="WP_parameter mergesort" expl="VC for mergesort" expanded="true">
 <transf name="split_goal_wp" expanded="true">
  <goal name="WP_parameter mergesort.1" expl="loop invariant init">
  <proof prover="5"><result status="valid" time="0.01" steps="26"/></proof>
  </goal>
  <goal name="WP_parameter mergesort.2" expl="loop invariant init">
  <proof prover="5"><result status="valid" time="0.01" steps="5"/></proof>
  </goal>
  <goal name="WP_parameter mergesort.3" expl="precondition">
  <proof prover="5"><result status="valid" time="0.01" steps="8"/></proof>
  </goal>
  <goal name="WP_parameter mergesort.4" expl="precondition">
  <proof prover="5"><result status="valid" time="0.01" steps="14"/></proof>
  </goal>
  <goal name="WP_parameter mergesort.5" expl="loop invariant preservation" expanded="true">
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  <proof prover="2"><result status="valid" time="2.76"/></proof>
  <proof prover="8" timelimit="10" memlimit="4000"><result status="valid" time="5.89"/></proof>
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  </goal>
  <goal name="WP_parameter mergesort.6" expl="loop invariant preservation">
  <proof prover="5"><result status="valid" time="0.03" steps="71"/></proof>
  </goal>
  <goal name="WP_parameter mergesort.7" expl="loop variant decrease">
  <proof prover="5"><result status="valid" time="0.01" steps="26"/></proof>
  </goal>
  <goal name="WP_parameter mergesort.8" expl="loop invariant preservation">
  <proof prover="5"><result status="valid" time="0.29" steps="226"/></proof>
  </goal>
  <goal name="WP_parameter mergesort.9" expl="loop invariant preservation">
  <proof prover="5"><result status="valid" time="0.02" steps="56"/></proof>
  </goal>
  <goal name="WP_parameter mergesort.10" expl="loop variant decrease">
  <proof prover="5"><result status="valid" time="0.01" steps="16"/></proof>
  </goal>
  <goal name="WP_parameter mergesort.11" expl="assertion">
  <proof prover="5"><result status="valid" time="0.01" steps="8"/></proof>
  </goal>
  <goal name="WP_parameter mergesort.12" expl="assertion">
  <proof prover="5"><result status="valid" time="0.01" steps="21"/></proof>
  </goal>
  <goal name="WP_parameter mergesort.13" expl="variant decrease">
  <proof prover="5"><result status="valid" time="0.02" steps="60"/></proof>
  </goal>
  <goal name="WP_parameter mergesort.14" expl="variant decrease">
  <proof prover="5"><result status="valid" time="0.01" steps="64"/></proof>
  </goal>
  <goal name="WP_parameter mergesort.15" expl="precondition">
  <proof prover="5"><result status="valid" time="0.00" steps="13"/></proof>
  </goal>
  <goal name="WP_parameter mergesort.16" expl="postcondition">
  <proof prover="5"><result status="valid" time="0.05" steps="104"/></proof>
  </goal>
  <goal name="WP_parameter mergesort.17" expl="assertion">
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  <proof prover="8"><result status="valid" time="0.10"/></proof>
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  </goal>
  <goal name="WP_parameter mergesort.18" expl="postcondition">
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  <transf name="split_goal_wp">
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   <goal name="WP_parameter mergesort.18.1" expl="VC for mergesort">
   <proof prover="5"><result status="valid" time="0.01" steps="5"/></proof>
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   </goal>
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   <goal name="WP_parameter mergesort.18.2" expl="VC for mergesort">
   <proof prover="5"><result status="valid" time="0.01" steps="4"/></proof>
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   </goal>
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  </transf>
  </goal>
 </transf>
 </goal>
</theory>
</file>
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</why3session>