<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
"http://why3.lri.fr/why3session.dtd">
<why3session shape_version="6">
<prover id="0" name="Z3" version="4.8.6" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="1" name="Alt-Ergo" version="2.3.0" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="3" name="Z3" version="4.7.1" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="4" name="CVC4" version="1.5" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="5" name="Alt-Ergo" version="2.0.0" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="maximum_subarray.mlw"/>
<theory name="Algo1" proved="true">
 <goal name="maximum_subarray&#39;vc" expl="VC for maximum_subarray" proved="true">
 <proof prover="5"><result status="valid" time="0.260000" steps="501"/></proof>
 </goal>
</theory>
<theory name="Algo2" proved="true">
 <goal name="maximum_subarray&#39;vc" expl="VC for maximum_subarray" proved="true">
 <proof prover="5"><result status="valid" time="0.250000" steps="461"/></proof>
 </goal>
</theory>
<theory name="Algo3" proved="true">
 <goal name="maximum_subarray_rec&#39;vc" expl="VC for maximum_subarray_rec" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="maximum_subarray_rec&#39;vc.0" expl="postcondition" proved="true">
  <proof prover="5"><result status="valid" time="0.000000" steps="12"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.1" expl="postcondition" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="14"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.2" expl="precondition" proved="true">
  <proof prover="5"><result status="valid" time="0.020000" steps="5"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.3" expl="loop invariant init" proved="true">
  <proof prover="5"><result status="valid" time="0.000000" steps="16"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.4" expl="loop invariant init" proved="true">
  <proof prover="5"><result status="valid" time="0.000000" steps="13"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.5" expl="loop invariant init" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="11"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.6" expl="index in array bounds" proved="true">
  <proof prover="5"><result status="valid" time="0.020000" steps="27"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.7" expl="assertion" proved="true">
  <proof prover="5"><result status="valid" time="0.000000" steps="21"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.8" expl="loop invariant preservation" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="19"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.9" expl="loop invariant preservation" proved="true">
  <proof prover="5"><result status="valid" time="0.000000" steps="26"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.10" expl="loop invariant preservation" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="22"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.11" expl="loop invariant preservation" proved="true">
  <proof prover="5"><result status="valid" time="0.000000" steps="17"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.12" expl="loop invariant preservation" proved="true">
  <transf name="inline_all" proved="true" >
   <goal name="maximum_subarray_rec&#39;vc.12.0" expl="loop invariant preservation" proved="true">
   <proof prover="4"><result status="valid" time="0.050000" steps="12732"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.13" expl="loop invariant preservation" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="17"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.14" expl="assertion" proved="true">
  <proof prover="5"><result status="valid" time="0.020000" steps="17"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.15" expl="loop invariant init" proved="true">
  <proof prover="5"><result status="valid" time="0.000000" steps="14"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.16" expl="loop invariant init" proved="true">
  <proof prover="5"><result status="valid" time="0.020000" steps="22"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.17" expl="loop invariant init" proved="true">
  <proof prover="5"><result status="valid" time="0.000000" steps="16"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.18" expl="index in array bounds" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="20"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.19" expl="assertion" proved="true">
  <proof prover="5"><result status="valid" time="0.000000" steps="29"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.20" expl="assertion" proved="true">
  <proof prover="5"><result status="valid" time="0.000000" steps="38"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.21" expl="loop invariant preservation" proved="true">
  <proof prover="5"><result status="valid" time="0.000000" steps="26"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.22" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.070000" steps="161153"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.23" expl="loop invariant preservation" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="29"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.24" expl="loop invariant preservation" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="24"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.25" expl="loop invariant preservation" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="maximum_subarray_rec&#39;vc.25.0" expl="loop invariant preservation" proved="true">
   <proof prover="0"><result status="valid" time="0.040000" steps="87597"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.26" expl="loop invariant preservation" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="24"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.27" expl="variant decrease" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="34"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.28" expl="precondition" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="18"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.29" expl="variant decrease" proved="true">
  <proof prover="5"><result status="valid" time="0.000000" steps="26"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.30" expl="precondition" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="35"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.31" expl="postcondition" proved="true">
  <proof prover="5"><result status="valid" time="0.000000" steps="35"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.32" expl="postcondition" proved="true">
  <proof prover="5"><result status="valid" time="0.000000" steps="45"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.33" expl="postcondition" proved="true">
  <proof prover="5"><result status="valid" time="0.000000" steps="31"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.34" expl="postcondition" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="42"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.35" expl="variant decrease" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="23"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.36" expl="precondition" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="32"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.37" expl="postcondition" proved="true">
  <proof prover="5"><result status="valid" time="0.000000" steps="32"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.38" expl="postcondition" proved="true">
  <proof prover="5"><result status="valid" time="0.000000" steps="42"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.39" expl="postcondition" proved="true">
  <proof prover="5"><result status="valid" time="0.000000" steps="28"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.40" expl="postcondition" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="36"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.41" expl="out of loop bounds" proved="true">
  <proof prover="5"><result status="valid" time="0.000000" steps="26"/></proof>
  </goal>
  <goal name="maximum_subarray_rec&#39;vc.42" expl="out of loop bounds" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="28"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="maximum_subarray&#39;vc" expl="VC for maximum_subarray" proved="true">
 <proof prover="5"><result status="valid" time="0.000000" steps="13"/></proof>
 </goal>
</theory>
<theory name="Algo4" proved="true">
 <goal name="maximum_subarray&#39;vc" expl="VC for maximum_subarray" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="maximum_subarray&#39;vc.0" expl="loop invariant init" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="11"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.1" expl="loop invariant init" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="18"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.2" expl="loop invariant init" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="12"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.3" expl="loop invariant init" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="15"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.4" expl="index in array bounds" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="28"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.5" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.100000" steps="97"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.6" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.050000" steps="98129"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.7" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="46"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.8" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="55"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.9" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="34"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.10" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.040000" steps="85094"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.11" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.100000" steps="93"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.12" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.030000" steps="50161"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.13" expl="index in array bounds" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="28"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.14" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="54"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.15" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.030000" steps="58375"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.16" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="44"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.17" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="52"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.18" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="32"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.19" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.030000" steps="47457"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.20" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="50"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.21" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.030000" steps="42182"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.22" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="22"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.23" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="44"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.24" expl="out of loop bounds" proved="true">
  <proof prover="1"><result status="valid" time="0.000000" steps="7"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
<theory name="Algo5" proved="true">
 <goal name="maximum_subarray&#39;vc" expl="VC for maximum_subarray" proved="true">
 <proof prover="5"><result status="valid" time="1.400000" steps="1376"/></proof>
 </goal>
</theory>
<theory name="BoundedIntegers" proved="true">
 <goal name="maximum_subarray&#39;vc" expl="VC for maximum_subarray" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="maximum_subarray&#39;vc.0" expl="loop invariant init" proved="true">
  <proof prover="5"><result status="valid" time="0.000000" steps="33"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.1" expl="loop invariant init" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="14"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.2" expl="loop invariant init" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="11"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.3" expl="loop invariant init" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="12"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.4" expl="index in array bounds" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="16"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.5" expl="integer overflow" proved="true">
  <proof prover="5"><result status="valid" time="0.040000" steps="23"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.6" expl="loop variant decrease" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="23"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.7" expl="loop invariant preservation" proved="true">
  <proof prover="5"><result status="valid" time="0.050000" steps="129"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.8" expl="loop invariant preservation" proved="true">
  <proof prover="5" timelimit="60"><result status="valid" time="6.940000" steps="3911"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.9" expl="loop invariant preservation" proved="true">
  <proof prover="5"><result status="valid" time="0.000000" steps="29"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.10" expl="loop invariant preservation" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="36"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.11" expl="integer overflow" proved="true">
  <proof prover="5"><result status="valid" time="0.050000" steps="20"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.12" expl="loop variant decrease" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="20"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.13" expl="loop invariant preservation" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="20"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.14" expl="loop invariant preservation" proved="true">
  <proof prover="5" timelimit="120"><result status="valid" time="17.550000" steps="11448"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.15" expl="loop invariant preservation" proved="true">
  <proof prover="5"><result status="valid" time="0.050000" steps="118"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.16" expl="loop invariant preservation" proved="true">
  <proof prover="4"><result status="valid" time="0.200000" steps="53229"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.17" expl="assertion" proved="true">
  <proof prover="3" timelimit="15"><result status="valid" time="0.010000" steps="33219"/></proof>
  <proof prover="5" timelimit="15"><result status="valid" time="0.010000" steps="18"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.18" expl="index in array bounds" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="17"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.19" expl="integer overflow" proved="true">
  <proof prover="5" timelimit="15"><result status="valid" time="0.050000" steps="111"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.20" expl="integer overflow" proved="true">
  <proof prover="5"><result status="valid" time="0.020000" steps="23"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.21" expl="loop variant decrease" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="23"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.22" expl="loop invariant preservation" proved="true">
  <proof prover="5"><result status="valid" time="0.040000" steps="203"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.23" expl="loop invariant preservation" proved="true">
  <transf name="simplify_trivial_quantification" proved="true" >
   <goal name="maximum_subarray&#39;vc.23.0" expl="loop invariant preservation" proved="true">
   <transf name="introduce_premises" proved="true" >
    <goal name="maximum_subarray&#39;vc.23.0.0" expl="loop invariant preservation" proved="true">
    <transf name="split_vc" proved="true" >
     <goal name="maximum_subarray&#39;vc.23.0.0.0" expl="loop invariant preservation" proved="true">
     <transf name="case" proved="true" arg1="(h&#39; &lt; i)">
      <goal name="maximum_subarray&#39;vc.23.0.0.0.0" expl="true case (loop invariant preservation)" proved="true">
      <proof prover="4" timelimit="1"><result status="valid" time="0.040000" steps="16423"/></proof>
      </goal>
      <goal name="maximum_subarray&#39;vc.23.0.0.0.1" expl="false case (loop invariant preservation)" proved="true">
      <proof prover="3"><result status="valid" time="0.120000" steps="74370"/></proof>
      </goal>
     </transf>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
  </transf>
  <transf name="split_all_full" proved="true" >
   <goal name="maximum_subarray&#39;vc.23.0" expl="loop invariant preservation" proved="true">
   <transf name="introduce_premises" proved="true" >
    <goal name="maximum_subarray&#39;vc.23.0.0" expl="loop invariant preservation" proved="true">
    <transf name="inline_goal" proved="true" >
     <goal name="maximum_subarray&#39;vc.23.0.0.0" expl="loop invariant preservation" proved="true">
     <proof prover="4" timelimit="30" memlimit="4000"><result status="valid" time="1.140000" steps="109317"/></proof>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="maximum_subarray&#39;vc.24" expl="loop invariant preservation" proved="true">
  <proof prover="5"><result status="valid" time="0.060000" steps="29"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.25" expl="loop invariant preservation" proved="true">
  <proof prover="5"><result status="valid" time="0.020000" steps="35"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.26" expl="integer overflow" proved="true">
  <proof prover="5"><result status="valid" time="0.020000" steps="20"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.27" expl="loop variant decrease" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="20"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.28" expl="loop invariant preservation" proved="true">
  <proof prover="5"><result status="valid" time="0.050000" steps="20"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.29" expl="loop invariant preservation" proved="true">
  <transf name="simplify_trivial_quantification" proved="true" >
   <goal name="maximum_subarray&#39;vc.29.0" expl="loop invariant preservation" proved="true">
   <transf name="introduce_premises" proved="true" >
    <goal name="maximum_subarray&#39;vc.29.0.0" expl="loop invariant preservation" proved="true">
    <transf name="case" proved="true" arg1="(h&#39; &lt; i)">
     <goal name="maximum_subarray&#39;vc.29.0.0.0" expl="true case (loop invariant preservation)" proved="true">
     <proof prover="4" timelimit="1"><result status="valid" time="0.040000" steps="16339"/></proof>
     </goal>
     <goal name="maximum_subarray&#39;vc.29.0.0.1" expl="false case (loop invariant preservation)" proved="true">
     <proof prover="3"><result status="valid" time="0.080000" steps="65927"/></proof>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="maximum_subarray&#39;vc.30" expl="loop invariant preservation" proved="true">
  <proof prover="5"><result status="valid" time="0.030000" steps="96"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.31" expl="loop invariant preservation" proved="true">
  <proof prover="4"><result status="valid" time="0.180000" steps="36462"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.32" expl="postcondition" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="15"/></proof>
  </goal>
  <goal name="maximum_subarray&#39;vc.33" expl="postcondition" proved="true">
  <proof prover="5"><result status="valid" time="0.010000" steps="19"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
