<?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="CVC3" version="2.4.1" timelimit="10" steplimit="0" memlimit="1000"/>
<prover id="1" name="CVC4" version="1.4" timelimit="10" steplimit="0" memlimit="1000"/>
<prover id="2" name="Z3" version="4.3.1" timelimit="30" steplimit="0" memlimit="1000"/>
<prover id="3" name="Z3" version="3.2" timelimit="10" steplimit="0" memlimit="1000"/>
<prover id="4" name="CVC4" version="1.5" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="5" name="Alt-Ergo" version="2.0.0" timelimit="5" steplimit="0" memlimit="4000"/>
<prover id="6" name="CVC4" version="1.6" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="7" name="Z3" version="4.3.2" timelimit="10" steplimit="0" memlimit="1000"/>
<prover id="8" name="Alt-Ergo" version="2.3.0" timelimit="1" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="verifythis_PrefixSumRec.mlw"/>
<theory name="PrefixSumRec" proved="true">
 <goal name="Div_mod_2" proved="true">
 <proof prover="0"><result status="valid" time="0.02"/></proof>
 <proof prover="1"><result status="valid" time="0.03"/></proof>
 <proof prover="3"><result status="valid" time="0.02"/></proof>
 <proof prover="5"><result status="valid" time="0.01" steps="5"/></proof>
 <proof prover="7"><result status="valid" time="0.02"/></proof>
 </goal>
 <goal name="is_power_of_2_1" proved="true">
 <proof prover="0"><result status="valid" time="0.03"/></proof>
 <proof prover="1"><result status="valid" time="0.02"/></proof>
 <proof prover="5"><result status="valid" time="0.01" steps="14"/></proof>
 </goal>
 <goal name="phase1_frame&#39;vc" expl="VC for phase1_frame" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="phase1_frame&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="1" timelimit="5"><result status="valid" time="0.02"/></proof>
  <proof prover="5"><result status="valid" time="0.02" steps="6"/></proof>
  </goal>
  <goal name="phase1_frame&#39;vc.1" expl="precondition" proved="true">
  <proof prover="1" timelimit="5"><result status="valid" time="0.03"/></proof>
  <proof prover="5"><result status="valid" time="0.02" steps="18"/></proof>
  <proof prover="7" timelimit="5"><result status="valid" time="0.01"/></proof>
  </goal>
  <goal name="phase1_frame&#39;vc.2" expl="precondition" proved="true">
  <proof prover="1" timelimit="5"><result status="valid" time="0.02"/></proof>
  <proof prover="5"><result status="valid" time="0.01" steps="6"/></proof>
  <proof prover="7" timelimit="5"><result status="valid" time="0.02"/></proof>
  </goal>
  <goal name="phase1_frame&#39;vc.3" expl="variant decrease" proved="true">
  <proof prover="1" timelimit="5"><result status="valid" time="0.02"/></proof>
  <proof prover="5"><result status="valid" time="0.01" steps="8"/></proof>
  <proof prover="7" timelimit="5"><result status="valid" time="0.01"/></proof>
  </goal>
  <goal name="phase1_frame&#39;vc.4" expl="precondition" proved="true">
  <proof prover="1" timelimit="5"><result status="valid" time="0.03"/></proof>
  <proof prover="5"><result status="valid" time="0.01" steps="17"/></proof>
  <proof prover="7" timelimit="5"><result status="valid" time="0.01"/></proof>
  </goal>
  <goal name="phase1_frame&#39;vc.5" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.04"/></proof>
  </goal>
  <goal name="phase1_frame&#39;vc.6" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.24" steps="150"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="phase1_frame2&#39;vc" expl="VC for phase1_frame2" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="phase1_frame2&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="1" timelimit="5"><result status="valid" time="0.04"/></proof>
  <proof prover="5"><result status="valid" time="0.02" steps="6"/></proof>
  <proof prover="7" timelimit="5"><result status="valid" time="0.01"/></proof>
  </goal>
  <goal name="phase1_frame2&#39;vc.1" expl="precondition" proved="true">
  <proof prover="0" timelimit="30" memlimit="4000"><result status="valid" time="0.03"/></proof>
  <proof prover="3" timelimit="30" memlimit="4000"><result status="valid" time="0.02"/></proof>
  </goal>
  <goal name="phase1_frame2&#39;vc.2" expl="precondition" proved="true">
  <proof prover="1" timelimit="5"><result status="valid" time="0.02"/></proof>
  <proof prover="5"><result status="valid" time="0.01" steps="6"/></proof>
  <proof prover="7" timelimit="5"><result status="valid" time="0.01"/></proof>
  </goal>
  <goal name="phase1_frame2&#39;vc.3" expl="variant decrease" proved="true">
  <proof prover="1" timelimit="5"><result status="valid" time="0.02"/></proof>
  <proof prover="5"><result status="valid" time="0.01" steps="8"/></proof>
  </goal>
  <goal name="phase1_frame2&#39;vc.4" expl="precondition" proved="true">
  <proof prover="1" timelimit="5"><result status="valid" time="0.03"/></proof>
  <proof prover="5"><result status="valid" time="0.02" steps="17"/></proof>
  <proof prover="7" timelimit="5"><result status="valid" time="0.01"/></proof>
  </goal>
  <goal name="phase1_frame2&#39;vc.5" expl="precondition" proved="true">
  <proof prover="1" timelimit="5"><result status="valid" time="0.03"/></proof>
  <proof prover="5"><result status="valid" time="0.02" steps="7"/></proof>
  </goal>
  <goal name="phase1_frame2&#39;vc.6" expl="postcondition" proved="true">
  <proof prover="2" timelimit="5"><result status="valid" time="0.04"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="upsweep&#39;vc" expl="VC for upsweep" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="upsweep&#39;vc.0" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12"/></proof>
  <proof prover="1"><result status="valid" time="0.05"/></proof>
  <proof prover="5"><result status="valid" time="0.04" steps="7"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.1" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.01"/></proof>
  <proof prover="3"><result status="valid" time="0.09"/></proof>
  <proof prover="5"><result status="valid" time="0.02" steps="12"/></proof>
  <proof prover="7"><result status="valid" time="0.11"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.2" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.01"/></proof>
  <proof prover="1"><result status="valid" time="0.05"/></proof>
  <proof prover="5"><result status="valid" time="0.10" steps="17"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.3" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.00"/></proof>
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  <proof prover="3"><result status="valid" time="0.00"/></proof>
  <proof prover="5"><result status="valid" time="0.01" steps="16"/></proof>
  <proof prover="7"><result status="valid" time="0.00"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.4" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.01"/></proof>
  <proof prover="1"><result status="valid" time="0.01"/></proof>
  <proof prover="3"><result status="valid" time="8.62"/></proof>
  <proof prover="5"><result status="valid" time="0.01" steps="79"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.5" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.03" steps="8543"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.6" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.02"/></proof>
  <proof prover="3"><result status="valid" time="0.06"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.7" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.02"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.8" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.06"/></proof>
  <proof prover="1"><result status="valid" time="0.04"/></proof>
  <proof prover="5"><result status="valid" time="0.03" steps="22"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.9" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.18"/></proof>
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  <proof prover="3"><result status="valid" time="10.72"/></proof>
  <proof prover="5"><result status="valid" time="0.02" steps="52"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.10" expl="assertion" proved="true">
  <proof prover="5"><result status="valid" time="0.02" steps="46"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.11" expl="assertion" proved="true">
  <proof prover="5"><result status="valid" time="0.02" steps="47"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.12" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.01"/></proof>
  <proof prover="3"><result status="valid" time="4.00"/></proof>
  <proof prover="5"><result status="valid" time="0.00" steps="38"/></proof>
  <proof prover="7"><result status="valid" time="0.03"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.13" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="2.61"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.14" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.02"/></proof>
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  <proof prover="3"><result status="valid" time="0.02"/></proof>
  <proof prover="5"><result status="valid" time="0.02" steps="17"/></proof>
  <proof prover="7"><result status="valid" time="0.02"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.15" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.02"/></proof>
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  <proof prover="3"><result status="valid" time="0.02"/></proof>
  <proof prover="5"><result status="valid" time="0.02" steps="17"/></proof>
  <proof prover="7"><result status="valid" time="0.03"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.16" expl="index in array bounds" proved="true">
  <proof prover="1"><result status="valid" time="0.07"/></proof>
  <proof prover="5"><result status="valid" time="0.01" steps="17"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.17" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.34"/></proof>
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  <proof prover="3"><result status="valid" time="0.15"/></proof>
  <proof prover="5"><result status="valid" time="0.01" steps="74"/></proof>
  <proof prover="7"><result status="valid" time="0.22"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.18" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14"/></proof>
  <proof prover="1"><result status="valid" time="0.12"/></proof>
  <proof prover="3"><result status="valid" time="0.01"/></proof>
  <proof prover="5"><result status="valid" time="0.01" steps="68"/></proof>
  <proof prover="7"><result status="valid" time="0.03"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.19" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.24"/></proof>
  <proof prover="3"><result status="valid" time="0.06"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.20" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.11"/></proof>
  <proof prover="5"><result status="valid" time="1.13" steps="1135"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.21" expl="index in array bounds" proved="true">
  <proof prover="1" timelimit="15"><result status="valid" time="0.09"/></proof>
  <proof prover="5"><result status="valid" time="0.04" steps="7"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.22" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.02"/></proof>
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  <proof prover="5"><result status="valid" time="0.01" steps="7"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.23" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.02"/></proof>
  <proof prover="1"><result status="valid" time="0.01"/></proof>
  <proof prover="3"><result status="valid" time="0.02"/></proof>
  <proof prover="5"><result status="valid" time="0.02" steps="7"/></proof>
  <proof prover="7"><result status="valid" time="0.05"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.24" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.04"/></proof>
  <proof prover="1"><result status="valid" time="0.07"/></proof>
  <proof prover="5"><result status="valid" time="0.00" steps="10"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.25" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.00"/></proof>
  <proof prover="1"><result status="valid" time="0.01"/></proof>
  <proof prover="3"><result status="valid" time="0.02"/></proof>
  <proof prover="5"><result status="valid" time="0.00" steps="10"/></proof>
  <proof prover="7"><result status="valid" time="0.02"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.26" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.01" steps="39"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.27" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.01"/></proof>
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  <proof prover="5"><result status="valid" time="0.85" steps="525"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="downsweep&#39;vc" expl="VC for downsweep" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="downsweep&#39;vc.0" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.03"/></proof>
  <proof prover="1"><result status="valid" time="0.01"/></proof>
  <proof prover="3"><result status="valid" time="0.02"/></proof>
  <proof prover="5"><result status="valid" time="0.01" steps="8"/></proof>
  <proof prover="7"><result status="valid" time="0.04"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.1" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.02"/></proof>
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  <proof prover="5"><result status="valid" time="0.03" steps="8"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.2" expl="assertion" proved="true">
  <proof prover="1"><result status="valid" time="0.06"/></proof>
  <proof prover="3"><result status="valid" time="0.05"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.3" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.02"/></proof>
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  <proof prover="3"><result status="valid" time="0.03"/></proof>
  <proof prover="5"><result status="valid" time="0.01" steps="9"/></proof>
  <proof prover="7"><result status="valid" time="0.03"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.4" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.02"/></proof>
  <proof prover="1"><result status="valid" time="0.07"/></proof>
  <proof prover="5"><result status="valid" time="0.00" steps="9"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.5" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.02"/></proof>
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  <proof prover="5"><result status="valid" time="0.04" steps="9"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.6" expl="index in array bounds" proved="true">
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  <proof prover="3"><result status="valid" time="0.02"/></proof>
  <proof prover="5"><result status="valid" time="0.08" steps="12"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.7" expl="assertion" proved="true">
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  <proof prover="3"><result status="valid" time="4.22"/></proof>
  <proof prover="5"><result status="valid" time="0.33" steps="280"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.8" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.02"/></proof>
  <proof prover="1"><result status="valid" time="0.01"/></proof>
  <proof prover="3"><result status="valid" time="0.00"/></proof>
  <proof prover="5"><result status="valid" time="0.01" steps="24"/></proof>
  <proof prover="7"><result status="valid" time="0.00"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.9" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.03"/></proof>
  <proof prover="1"><result status="valid" time="0.03"/></proof>
  <proof prover="3"><result status="valid" time="0.04"/></proof>
  <proof prover="5"><result status="valid" time="0.03" steps="51"/></proof>
  <proof prover="7"><result status="valid" time="0.04"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.10" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="3.42"/></proof>
  <proof prover="1"><result status="valid" time="0.01"/></proof>
  <proof prover="3" timelimit="30"><result status="valid" time="6.42"/></proof>
  <proof prover="5"><result status="valid" time="0.01" steps="74"/></proof>
  <proof prover="7"><result status="valid" time="0.69"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.11" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.03"/></proof>
  <proof prover="1" timelimit="15"><result status="valid" time="0.03"/></proof>
  <proof prover="5"><result status="valid" time="0.02" steps="20"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.12" expl="variant decrease" proved="true">
  <proof prover="5"><result status="valid" time="0.06" steps="25"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.13" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.09"/></proof>
  <proof prover="1"><result status="valid" time="0.06"/></proof>
  <proof prover="5"><result status="valid" time="0.10" steps="30"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.14" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.02"/></proof>
  <proof prover="1"><result status="valid" time="0.03"/></proof>
  <proof prover="3"><result status="valid" time="0.02"/></proof>
  <proof prover="5"><result status="valid" time="0.11" steps="45"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.15" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="4.91"/></proof>
  <proof prover="5"><result status="valid" time="0.21" steps="203"/></proof>
  <proof prover="6"><result status="valid" time="0.14" steps="24262"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.16" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  <proof prover="3"><result status="valid" time="0.04"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.17" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.75"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.18" expl="assertion" proved="true">
  <proof prover="0" timelimit="30"><result status="valid" time="0.08"/></proof>
  <proof prover="3" timelimit="30"><result status="valid" time="0.12"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.19" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12"/></proof>
  <proof prover="5"><result status="valid" time="0.02" steps="23"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.20" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.03"/></proof>
  <proof prover="1"><result status="valid" time="0.04"/></proof>
  <proof prover="3"><result status="valid" time="0.08"/></proof>
  <proof prover="5"><result status="valid" time="0.11" steps="47"/></proof>
  <proof prover="7"><result status="valid" time="0.11"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.21" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.06"/></proof>
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  <proof prover="3"><result status="valid" time="0.02"/></proof>
  <proof prover="5"><result status="valid" time="0.02" steps="97"/></proof>
  <proof prover="7"><result status="valid" time="0.03"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.22" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.02" steps="13298"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.23" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.13"/></proof>
  <proof prover="3"><result status="valid" time="7.04"/></proof>
  <proof prover="5"><result status="valid" time="0.03" steps="153"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.24" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.04"/></proof>
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  <proof prover="3"><result status="valid" time="0.02"/></proof>
  <proof prover="5"><result status="valid" time="0.03" steps="65"/></proof>
  <proof prover="7"><result status="valid" time="0.03"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.25" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.02"/></proof>
  <proof prover="3"><result status="valid" time="0.04"/></proof>
  <proof prover="5"><result status="valid" time="0.02" steps="39"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.26" expl="assertion" proved="true">
  <proof prover="4"><result status="valid" time="0.02" steps="20372"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.27" expl="assertion" proved="true">
  <proof prover="0" timelimit="30"><result status="valid" time="0.02"/></proof>
  <proof prover="1" timelimit="30"><result status="valid" time="0.02"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.28" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.68"/></proof>
  <proof prover="1"><result status="valid" time="0.04"/></proof>
  <proof prover="5"><result status="valid" time="0.04" steps="100"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.29" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="2.63"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.30" expl="postcondition" proved="true">
  <proof prover="5"><result status="valid" time="0.02" steps="92"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.31" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.36"/></proof>
  <proof prover="1"><result status="valid" time="0.18"/></proof>
  <proof prover="5"><result status="valid" time="0.01" steps="30"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.32" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.06"/></proof>
  <proof prover="1"><result status="valid" time="0.01"/></proof>
  <proof prover="3"><result status="valid" time="0.01"/></proof>
  <proof prover="5"><result status="valid" time="0.00" steps="26"/></proof>
  <proof prover="7"><result status="valid" time="0.12"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.33" expl="postcondition" proved="true">
  <proof prover="1" timelimit="5"><result status="valid" time="0.09"/></proof>
  <proof prover="5" memlimit="1000"><result status="valid" time="0.12" steps="26"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="compute_sums&#39;vc" expl="VC for compute_sums" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="compute_sums&#39;vc.0" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.01"/></proof>
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  </goal>
  <goal name="compute_sums&#39;vc.1" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.02"/></proof>
  <proof prover="1"><result status="valid" time="0.01"/></proof>
  <proof prover="3"><result status="valid" time="1.13"/></proof>
  <proof prover="5"><result status="valid" time="0.02" steps="14"/></proof>
  <proof prover="7"><result status="valid" time="0.03"/></proof>
  </goal>
  <goal name="compute_sums&#39;vc.2" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.03"/></proof>
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  <proof prover="3"><result status="valid" time="0.02"/></proof>
  <proof prover="5"><result status="valid" time="0.02" steps="20"/></proof>
  <proof prover="7"><result status="valid" time="0.03"/></proof>
  </goal>
  <goal name="compute_sums&#39;vc.3" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.04"/></proof>
  </goal>
  <goal name="compute_sums&#39;vc.4" expl="assertion" proved="true">
  <proof prover="1" timelimit="15"><result status="valid" time="0.04"/></proof>
  <proof prover="5"><result status="valid" time="0.02" steps="42"/></proof>
  </goal>
  <goal name="compute_sums&#39;vc.5" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.02"/></proof>
  <proof prover="1"><result status="valid" time="0.01"/></proof>
  <proof prover="3"><result status="valid" time="0.03"/></proof>
  <proof prover="5"><result status="valid" time="0.02" steps="8"/></proof>
  <proof prover="7"><result status="valid" time="0.03"/></proof>
  </goal>
  <goal name="compute_sums&#39;vc.6" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.03"/></proof>
  <proof prover="1"><result status="valid" time="0.04"/></proof>
  <proof prover="3"><result status="valid" time="0.02"/></proof>
  </goal>
  <goal name="compute_sums&#39;vc.7" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.02" steps="11438"/></proof>
  </goal>
  <goal name="compute_sums&#39;vc.8" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.06"/></proof>
  <proof prover="1"><result status="valid" time="0.08"/></proof>
  </goal>
  <goal name="compute_sums&#39;vc.9" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.03"/></proof>
  <proof prover="1"><result status="valid" time="0.04"/></proof>
  <proof prover="5"><result status="valid" time="0.09" steps="35"/></proof>
  </goal>
  <goal name="compute_sums&#39;vc.10" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.01"/></proof>
  <proof prover="1"><result status="valid" time="0.01"/></proof>
  <proof prover="3"><result status="valid" time="0.68"/></proof>
  <proof prover="5"><result status="valid" time="0.02" steps="61"/></proof>
  </goal>
  <goal name="compute_sums&#39;vc.11" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.03"/></proof>
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  <proof prover="3"><result status="valid" time="0.07"/></proof>
  <proof prover="5"><result status="valid" time="0.02" steps="22"/></proof>
  <proof prover="7"><result status="valid" time="0.05"/></proof>
  </goal>
  <goal name="compute_sums&#39;vc.12" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="7.95"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="test_harness&#39;vc" expl="VC for test_harness" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="test_harness&#39;vc.0" expl="array creation size" proved="true">
  <proof prover="0"><result status="valid" time="0.01"/></proof>
  <proof prover="1"><result status="valid" time="0.01"/></proof>
  <proof prover="3"><result status="valid" time="0.00"/></proof>
  <proof prover="5"><result status="valid" time="0.02" steps="1"/></proof>
  <proof prover="7"><result status="valid" time="0.00"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.1" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.03"/></proof>
  <proof prover="1"><result status="valid" time="0.03"/></proof>
  <proof prover="3"><result status="valid" time="0.05"/></proof>
  <proof prover="5"><result status="valid" time="0.04" steps="13"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.2" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.02"/></proof>
  <proof prover="1"><result status="valid" time="0.01"/></proof>
  <proof prover="3"><result status="valid" time="0.02"/></proof>
  <proof prover="5"><result status="valid" time="0.03" steps="3"/></proof>
  <proof prover="7"><result status="valid" time="0.04"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.3" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.01"/></proof>
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  <proof prover="3"><result status="valid" time="0.00"/></proof>
  <proof prover="5"><result status="valid" time="0.01" steps="6"/></proof>
  <proof prover="7"><result status="valid" time="0.00"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.4" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.01"/></proof>
  <proof prover="1"><result status="valid" time="0.01"/></proof>
  <proof prover="3"><result status="valid" time="0.00"/></proof>
  <proof prover="5"><result status="valid" time="0.01" steps="9"/></proof>
  <proof prover="7"><result status="valid" time="0.00"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.5" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.01"/></proof>
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  <proof prover="3"><result status="valid" time="0.00"/></proof>
  <proof prover="5"><result status="valid" time="0.01" steps="12"/></proof>
  <proof prover="7"><result status="valid" time="0.00"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.6" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.03"/></proof>
  <proof prover="1"><result status="valid" time="0.03"/></proof>
  <proof prover="5"><result status="valid" time="0.04" steps="15"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.7" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.03"/></proof>
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  <proof prover="3"><result status="valid" time="0.02"/></proof>
  <proof prover="5"><result status="valid" time="0.02" steps="18"/></proof>
  <proof prover="7"><result status="valid" time="0.03"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.8" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.02"/></proof>
  <proof prover="1"><result status="valid" time="0.01"/></proof>
  <proof prover="3"><result status="valid" time="0.00"/></proof>
  <proof prover="5"><result status="valid" time="0.01" steps="21"/></proof>
  <proof prover="7"><result status="valid" time="0.00"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.9" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.01"/></proof>
  <proof prover="1"><result status="valid" time="0.01"/></proof>
  <proof prover="3"><result status="valid" time="0.00"/></proof>
  <proof prover="5"><result status="valid" time="0.01" steps="24"/></proof>
  <proof prover="7"><result status="valid" time="0.00"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.10" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.02"/></proof>
  <proof prover="1"><result status="valid" time="0.05"/></proof>
  <proof prover="5"><result status="valid" time="0.04" steps="27"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.11" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.02"/></proof>
  <proof prover="1"><result status="valid" time="0.03"/></proof>
  <proof prover="5"><result status="valid" time="0.04" steps="97"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.12" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.02"/></proof>
  <proof prover="1"><result status="valid" time="0.03"/></proof>
  <proof prover="5"><result status="valid" time="0.04" steps="136"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.13" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.01"/></proof>
  <proof prover="1"><result status="valid" time="0.00"/></proof>
  <proof prover="3"><result status="valid" time="0.18"/></proof>
  <proof prover="5"><result status="valid" time="0.02" steps="142"/></proof>
  <proof prover="7"><result status="valid" time="0.94"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.14" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.02"/></proof>
  <proof prover="1"><result status="valid" time="0.04"/></proof>
  <proof prover="3"><result status="valid" time="0.32"/></proof>
  <proof prover="5"><result status="valid" time="0.07" steps="148"/></proof>
  <proof prover="7"><result status="valid" time="5.31"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.15" expl="assertion" proved="true">
  <proof prover="0" timelimit="30"><result status="valid" time="0.03"/></proof>
  <proof prover="1" timelimit="30"><result status="valid" time="0.06"/></proof>
  <proof prover="3" timelimit="30"><result status="valid" time="0.33"/></proof>
  <proof prover="5" timelimit="30" memlimit="1000"><result status="valid" time="0.04" steps="154"/></proof>
  <proof prover="7" timelimit="30"><result status="valid" time="5.27"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.16" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.03"/></proof>
  <proof prover="1"><result status="valid" time="0.04"/></proof>
  <proof prover="3"><result status="valid" time="0.24"/></proof>
  <proof prover="5"><result status="valid" time="0.04" steps="160"/></proof>
  <proof prover="7"><result status="valid" time="4.98"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.17" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.01"/></proof>
  <proof prover="1"><result status="valid" time="0.12"/></proof>
  <proof prover="3"><result status="valid" time="0.34"/></proof>
  <proof prover="5"><result status="valid" time="0.01" steps="166"/></proof>
  <proof prover="7"><result status="valid" time="5.28"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.18" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.02"/></proof>
  <proof prover="1"><result status="valid" time="0.13"/></proof>
  <proof prover="3"><result status="valid" time="0.34"/></proof>
  <proof prover="5"><result status="valid" time="0.02" steps="172"/></proof>
  <proof prover="7"><result status="valid" time="5.33"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.19" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.02"/></proof>
  <proof prover="1"><result status="valid" time="0.15"/></proof>
  <proof prover="3"><result status="valid" time="0.18"/></proof>
  <proof prover="5"><result status="valid" time="0.00" steps="178"/></proof>
  <proof prover="7"><result status="valid" time="0.84"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="bench&#39;vc" expl="VC for bench" proved="true">
 <proof prover="5"><result status="valid" time="3.47" steps="251"/></proof>
 </goal>
</theory>
</file>
</why3session>
