<?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="5" 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="Z3" version="4.12.2" timelimit="10" steplimit="0" memlimit="1000"/>
<prover id="6" name="CVC4" version="1.6" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="7" name="Alt-Ergo" version="2.3.3" timelimit="5" steplimit="0" memlimit="4000"/>
<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="0.020000"/></proof>
 <proof prover="1"><result status="valid" time="0.030000"/></proof>
 <proof prover="3"><result status="valid" time="0.020000"/></proof>
 <proof prover="5"><result status="valid" time="0.020000" steps="21259"/></proof>
 <proof prover="7"><result status="valid" time="0.010000" steps="14"/></proof>
 </goal>
 <goal name="is_power_of_2_1" proved="true">
 <proof prover="0"><result status="valid" time="0.030000"/></proof>
 <proof prover="1"><result status="valid" time="0.020000"/></proof>
 <proof prover="7"><result status="valid" time="0.010000" steps="71"/></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="0.020000"/></proof>
  <proof prover="7"><result status="valid" time="0.020000" steps="8"/></proof>
  </goal>
  <goal name="phase1_frame&#39;vc.1" expl="precondition" proved="true">
  <proof prover="1" timelimit="5"><result status="valid" time="0.030000"/></proof>
  <proof prover="5" timelimit="5"><result status="valid" time="0.010000" steps="28647"/></proof>
  <proof prover="7"><result status="valid" time="0.020000" steps="22"/></proof>
  </goal>
  <goal name="phase1_frame&#39;vc.2" expl="precondition" proved="true">
  <proof prover="1" timelimit="5"><result status="valid" time="0.020000"/></proof>
  <proof prover="5" timelimit="5"><result status="valid" time="0.020000" steps="27983"/></proof>
  <proof prover="7"><result status="valid" time="0.010000" steps="10"/></proof>
  </goal>
  <goal name="phase1_frame&#39;vc.3" expl="variant decrease" proved="true">
  <proof prover="1" timelimit="5"><result status="valid" time="0.020000"/></proof>
  <proof prover="5" timelimit="5"><result status="valid" time="0.010000" steps="28317"/></proof>
  <proof prover="7"><result status="valid" time="0.010000" steps="14"/></proof>
  </goal>
  <goal name="phase1_frame&#39;vc.4" expl="precondition" proved="true">
  <proof prover="1" timelimit="5"><result status="valid" time="0.030000"/></proof>
  <proof prover="5" timelimit="5"><result status="valid" time="0.010000" steps="28884"/></proof>
  <proof prover="7"><result status="valid" time="0.010000" steps="28"/></proof>
  </goal>
  <goal name="phase1_frame&#39;vc.5" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.040000"/></proof>
  </goal>
  <goal name="phase1_frame&#39;vc.6" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.240000" steps="149"/></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="0.040000"/></proof>
  <proof prover="5" timelimit="5"><result status="valid" time="0.010000" steps="28648"/></proof>
  <proof prover="7"><result status="valid" time="0.020000" steps="8"/></proof>
  </goal>
  <goal name="phase1_frame2&#39;vc.1" expl="precondition" proved="true">
  <proof prover="0" timelimit="30" memlimit="4000"><result status="valid" time="0.030000"/></proof>
  <proof prover="3" timelimit="30" memlimit="4000"><result status="valid" time="0.020000"/></proof>
  </goal>
  <goal name="phase1_frame2&#39;vc.2" expl="precondition" proved="true">
  <proof prover="1" timelimit="5"><result status="valid" time="0.020000"/></proof>
  <proof prover="5" timelimit="5"><result status="valid" time="0.010000" steps="28783"/></proof>
  <proof prover="7"><result status="valid" time="0.010000" steps="10"/></proof>
  </goal>
  <goal name="phase1_frame2&#39;vc.3" expl="variant decrease" proved="true">
  <proof prover="1" timelimit="5"><result status="valid" time="0.020000"/></proof>
  <proof prover="7"><result status="valid" time="0.010000" steps="14"/></proof>
  </goal>
  <goal name="phase1_frame2&#39;vc.4" expl="precondition" proved="true">
  <proof prover="1" timelimit="5"><result status="valid" time="0.030000"/></proof>
  <proof prover="5" timelimit="5"><result status="valid" time="0.010000" steps="29690"/></proof>
  <proof prover="7"><result status="valid" time="0.020000" steps="28"/></proof>
  </goal>
  <goal name="phase1_frame2&#39;vc.5" expl="precondition" proved="true">
  <proof prover="1" timelimit="5"><result status="valid" time="0.030000"/></proof>
  <proof prover="7"><result status="valid" time="0.020000" steps="12"/></proof>
  </goal>
  <goal name="phase1_frame2&#39;vc.6" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.040000"/></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="0.120000"/></proof>
  <proof prover="1"><result status="valid" time="0.050000"/></proof>
  <proof prover="7"><result status="valid" time="0.040000" steps="12"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.1" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.010000"/></proof>
  <proof prover="3"><result status="valid" time="0.090000"/></proof>
  <proof prover="5"><result status="valid" time="0.110000" steps="30121"/></proof>
  <proof prover="7"><result status="valid" time="0.020000" steps="14"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.2" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.010000"/></proof>
  <proof prover="1"><result status="valid" time="0.050000"/></proof>
  <proof prover="7"><result status="valid" time="0.100000" steps="42"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.3" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000"/></proof>
  <proof prover="1"><result status="valid" time="0.020000"/></proof>
  <proof prover="3"><result status="valid" time="0.000000"/></proof>
  <proof prover="5"><result status="valid" time="0.000000" steps="30914"/></proof>
  <proof prover="7"><result status="valid" time="0.010000" steps="22"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.4" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.010000"/></proof>
  <proof prover="1"><result status="valid" time="0.010000"/></proof>
  <proof prover="3"><result status="valid" time="16.090000"/></proof>
  <proof prover="7"><result status="valid" time="0.010000" steps="151"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.5" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.030000" steps="8234"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.6" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.020000"/></proof>
  <proof prover="3"><result status="valid" time="0.060000"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.7" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.020000"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.8" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.060000"/></proof>
  <proof prover="1"><result status="valid" time="0.040000"/></proof>
  <proof prover="7"><result status="valid" time="0.030000" steps="40"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.9" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.180000"/></proof>
  <proof prover="1"><result status="valid" time="0.020000"/></proof>
  <proof prover="3"><result status="valid" time="10.720000"/></proof>
  <proof prover="7"><result status="valid" time="0.149643" steps="293"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.10" expl="assertion" proved="true">
  <proof prover="7"><result status="valid" time="0.020000" steps="104"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.11" expl="assertion" proved="true">
  <proof prover="7"><result status="valid" time="0.020000" steps="108"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.12" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.010000"/></proof>
  <proof prover="3"><result status="valid" time="4.000000"/></proof>
  <proof prover="7"><result status="valid" time="0.000000" steps="104"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.13" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="3.190000"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.14" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.020000"/></proof>
  <proof prover="1"><result status="valid" time="0.020000"/></proof>
  <proof prover="3"><result status="valid" time="0.020000"/></proof>
  <proof prover="5"><result status="valid" time="0.020000" steps="33865"/></proof>
  <proof prover="7"><result status="valid" time="0.020000" steps="34"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.15" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.020000"/></proof>
  <proof prover="1"><result status="valid" time="0.020000"/></proof>
  <proof prover="3"><result status="valid" time="0.020000"/></proof>
  <proof prover="5"><result status="valid" time="0.030000" steps="33846"/></proof>
  <proof prover="7"><result status="valid" time="0.020000" steps="34"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.16" expl="index in array bounds" proved="true">
  <proof prover="1"><result status="valid" time="0.070000"/></proof>
  <proof prover="7"><result status="valid" time="0.010000" steps="34"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.17" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.340000"/></proof>
  <proof prover="1"><result status="valid" time="0.122809"/></proof>
  <proof prover="3"><result status="valid" time="0.150000"/></proof>
  <proof prover="7"><result status="valid" time="0.160524" steps="259"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.18" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.140000"/></proof>
  <proof prover="1"><result status="valid" time="0.120000"/></proof>
  <proof prover="3"><result status="valid" time="0.010000"/></proof>
  <proof prover="7"><result status="valid" time="0.135046" steps="246"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.19" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.240000"/></proof>
  <proof prover="3"><result status="valid" time="0.060000"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.20" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.110000"/></proof>
  <proof prover="7"><result status="valid" time="0.674983" steps="1073"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.21" expl="index in array bounds" proved="true">
  <proof prover="1" timelimit="15"><result status="valid" time="0.090000"/></proof>
  <proof prover="7"><result status="valid" time="0.040000" steps="12"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.22" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.020000"/></proof>
  <proof prover="1"><result status="valid" time="0.020000"/></proof>
  <proof prover="7"><result status="valid" time="0.010000" steps="12"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.23" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.020000"/></proof>
  <proof prover="1"><result status="valid" time="0.010000"/></proof>
  <proof prover="3"><result status="valid" time="0.020000"/></proof>
  <proof prover="5"><result status="valid" time="0.050000" steps="29619"/></proof>
  <proof prover="7"><result status="valid" time="0.020000" steps="12"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.24" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.040000"/></proof>
  <proof prover="1"><result status="valid" time="0.070000"/></proof>
  <proof prover="7"><result status="valid" time="0.000000" steps="12"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.25" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.000000"/></proof>
  <proof prover="1"><result status="valid" time="0.010000"/></proof>
  <proof prover="3"><result status="valid" time="0.020000"/></proof>
  <proof prover="5"><result status="valid" time="0.020000" steps="3472"/></proof>
  <proof prover="7"><result status="valid" time="0.000000" steps="10"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.26" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="39"/></proof>
  </goal>
  <goal name="upsweep&#39;vc.27" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.010000"/></proof>
  <proof prover="1"><result status="valid" time="0.020000"/></proof>
  <proof prover="7"><result status="valid" time="0.246749" steps="536"/></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="0.030000"/></proof>
  <proof prover="1"><result status="valid" time="0.010000"/></proof>
  <proof prover="3"><result status="valid" time="0.020000"/></proof>
  <proof prover="5"><result status="valid" time="0.040000" steps="29468"/></proof>
  <proof prover="7"><result status="valid" time="0.010000" steps="14"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.1" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.020000"/></proof>
  <proof prover="1"><result status="valid" time="0.020000"/></proof>
  <proof prover="7"><result status="valid" time="0.030000" steps="14"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.2" expl="assertion" proved="true">
  <proof prover="1"><result status="valid" time="0.060000"/></proof>
  <proof prover="3"><result status="valid" time="0.050000"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.3" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.020000"/></proof>
  <proof prover="1"><result status="valid" time="0.020000"/></proof>
  <proof prover="3"><result status="valid" time="0.030000"/></proof>
  <proof prover="5"><result status="valid" time="0.030000" steps="29842"/></proof>
  <proof prover="7"><result status="valid" time="0.010000" steps="16"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.4" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.020000"/></proof>
  <proof prover="1"><result status="valid" time="0.070000"/></proof>
  <proof prover="7"><result status="valid" time="0.000000" steps="16"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.5" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.020000"/></proof>
  <proof prover="1"><result status="valid" time="0.020000"/></proof>
  <proof prover="7"><result status="valid" time="0.040000" steps="16"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.6" expl="index in array bounds" proved="true">
  <proof prover="1"><result status="valid" time="0.020000"/></proof>
  <proof prover="3"><result status="valid" time="0.020000"/></proof>
  <proof prover="7"><result status="valid" time="0.080000" steps="16"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.7" expl="assertion" proved="true">
  <proof prover="1"><result status="valid" time="0.020000"/></proof>
  <proof prover="3"><result status="valid" time="4.790000"/></proof>
  <proof prover="7"><result status="valid" time="0.036337" steps="147"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.8" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.020000"/></proof>
  <proof prover="1"><result status="valid" time="0.010000"/></proof>
  <proof prover="3"><result status="valid" time="0.000000"/></proof>
  <proof prover="5"><result status="valid" time="0.000000" steps="30283"/></proof>
  <proof prover="7"><result status="valid" time="0.010000" steps="34"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.9" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.030000"/></proof>
  <proof prover="1"><result status="valid" time="0.030000"/></proof>
  <proof prover="3"><result status="valid" time="0.040000"/></proof>
  <proof prover="5"><result status="valid" time="0.040000" steps="30489"/></proof>
  <proof prover="7"><result status="valid" time="0.030000" steps="36"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.10" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="1.451772"/></proof>
  <proof prover="1"><result status="valid" time="0.010000"/></proof>
  <proof prover="3" timelimit="30"><result status="valid" time="11.876884"/></proof>
  <proof prover="7"><result status="valid" time="0.010000" steps="142"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.11" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.030000"/></proof>
  <proof prover="1" timelimit="15"><result status="valid" time="0.030000"/></proof>
  <proof prover="7"><result status="valid" time="0.020000" steps="14"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.12" expl="variant decrease" proved="true">
  <proof prover="7"><result status="valid" time="0.060000" steps="40"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.13" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.090000"/></proof>
  <proof prover="1"><result status="valid" time="0.060000"/></proof>
  <proof prover="7"><result status="valid" time="0.100000" steps="92"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.14" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.020000"/></proof>
  <proof prover="1"><result status="valid" time="0.030000"/></proof>
  <proof prover="3"><result status="valid" time="0.020000"/></proof>
  <proof prover="7"><result status="valid" time="0.110000" steps="48"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.15" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="5.580000"/></proof>
  <proof prover="6"><result status="valid" time="0.140000" steps="21462"/></proof>
  <proof prover="7"><result status="valid" time="0.438910" steps="622"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.16" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.130000"/></proof>
  <proof prover="3"><result status="valid" time="0.040000"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.17" expl="precondition" proved="true">
  <proof prover="2" timelimit="30"><result status="valid" time="0.970000"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.18" expl="assertion" proved="true">
  <proof prover="0" timelimit="30"><result status="valid" time="0.080000"/></proof>
  <proof prover="3" timelimit="30"><result status="valid" time="0.120000"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.19" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.120000"/></proof>
  <proof prover="7"><result status="valid" time="0.020000" steps="42"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.20" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.030000"/></proof>
  <proof prover="1"><result status="valid" time="0.040000"/></proof>
  <proof prover="3"><result status="valid" time="0.080000"/></proof>
  <proof prover="5"><result status="valid" time="0.110000" steps="34291"/></proof>
  <proof prover="7"><result status="valid" time="0.110000" steps="56"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.21" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.060000"/></proof>
  <proof prover="1"><result status="valid" time="0.020000"/></proof>
  <proof prover="3"><result status="valid" time="0.020000"/></proof>
  <proof prover="5"><result status="valid" time="0.030000" steps="37235"/></proof>
  <proof prover="7"><result status="valid" time="0.020000" steps="116"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.22" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.020000" steps="13010"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.23" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.270000"/></proof>
  <proof prover="3"><result status="valid" time="7.040000"/></proof>
  <proof prover="7"><result status="valid" time="0.498852" steps="700"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.24" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.040000"/></proof>
  <proof prover="1"><result status="valid" time="0.020000"/></proof>
  <proof prover="3"><result status="valid" time="0.020000"/></proof>
  <proof prover="7"><result status="valid" time="0.030000" steps="68"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.25" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.020000"/></proof>
  <proof prover="3"><result status="valid" time="0.040000"/></proof>
  <proof prover="7"><result status="valid" time="0.020000" steps="70"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.26" expl="assertion" proved="true">
  <proof prover="4"><result status="valid" time="0.020000" steps="20084"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.27" expl="assertion" proved="true">
  <proof prover="0" timelimit="30"><result status="valid" time="0.020000"/></proof>
  <proof prover="1" timelimit="30"><result status="valid" time="0.020000"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.28" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.680000"/></proof>
  <proof prover="1"><result status="valid" time="0.040000"/></proof>
  <proof prover="7"><result status="valid" time="0.040000" steps="151"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.29" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="2.960771"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.30" expl="postcondition" proved="true">
  <proof prover="7"><result status="valid" time="0.020000" steps="278"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.31" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.360000"/></proof>
  <proof prover="1"><result status="valid" time="0.180000"/></proof>
  <proof prover="7"><result status="valid" time="0.010000" steps="69"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.32" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.060000"/></proof>
  <proof prover="1"><result status="valid" time="0.010000"/></proof>
  <proof prover="3"><result status="valid" time="0.120000"/></proof>
  <proof prover="7"><result status="valid" time="0.000000" steps="69"/></proof>
  </goal>
  <goal name="downsweep&#39;vc.33" expl="postcondition" proved="true">
  <proof prover="1" timelimit="5"><result status="valid" time="0.090000"/></proof>
  <proof prover="7" memlimit="1000"><result status="valid" time="0.120000" steps="74"/></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="0.010000"/></proof>
  <proof prover="1"><result status="valid" time="0.020000"/></proof>
  </goal>
  <goal name="compute_sums&#39;vc.1" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.020000"/></proof>
  <proof prover="1"><result status="valid" time="0.010000"/></proof>
  <proof prover="3"><result status="valid" time="1.350000"/></proof>
  <proof prover="5"><result status="valid" time="0.030000" steps="30204"/></proof>
  <proof prover="7"><result status="valid" time="0.020000" steps="43"/></proof>
  </goal>
  <goal name="compute_sums&#39;vc.2" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.030000"/></proof>
  <proof prover="1"><result status="valid" time="0.020000"/></proof>
  <proof prover="3"><result status="valid" time="0.020000"/></proof>
  <proof prover="5"><result status="valid" time="0.030000" steps="30121"/></proof>
  <proof prover="7"><result status="valid" time="0.020000" steps="20"/></proof>
  </goal>
  <goal name="compute_sums&#39;vc.3" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.040000"/></proof>
  </goal>
  <goal name="compute_sums&#39;vc.4" expl="assertion" proved="true">
  <proof prover="1" timelimit="15"><result status="valid" time="0.040000"/></proof>
  <proof prover="7"><result status="valid" time="0.020000" steps="70"/></proof>
  </goal>
  <goal name="compute_sums&#39;vc.5" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.020000"/></proof>
  <proof prover="1"><result status="valid" time="0.010000"/></proof>
  <proof prover="3"><result status="valid" time="0.030000"/></proof>
  <proof prover="5"><result status="valid" time="0.030000" steps="31482"/></proof>
  <proof prover="7"><result status="valid" time="0.020000" steps="14"/></proof>
  </goal>
  <goal name="compute_sums&#39;vc.6" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.030000"/></proof>
  <proof prover="1"><result status="valid" time="0.040000"/></proof>
  <proof prover="3"><result status="valid" time="0.020000"/></proof>
  </goal>
  <goal name="compute_sums&#39;vc.7" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.020000" steps="11150"/></proof>
  </goal>
  <goal name="compute_sums&#39;vc.8" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.170000"/></proof>
  <proof prover="1"><result status="valid" time="0.080000"/></proof>
  </goal>
  <goal name="compute_sums&#39;vc.9" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.030000"/></proof>
  <proof prover="1"><result status="valid" time="0.040000"/></proof>
  <proof prover="7"><result status="valid" time="0.090000" steps="89"/></proof>
  </goal>
  <goal name="compute_sums&#39;vc.10" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.010000"/></proof>
  <proof prover="1"><result status="valid" time="0.010000"/></proof>
  <proof prover="3"><result status="valid" time="0.628237"/></proof>
  <proof prover="7"><result status="valid" time="0.020000" steps="211"/></proof>
  </goal>
  <goal name="compute_sums&#39;vc.11" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.030000"/></proof>
  <proof prover="1"><result status="valid" time="0.020000"/></proof>
  <proof prover="3"><result status="valid" time="0.070000"/></proof>
  <proof prover="5"><result status="valid" time="0.050000" steps="35122"/></proof>
  <proof prover="7"><result status="valid" time="0.020000" steps="98"/></proof>
  </goal>
  <goal name="compute_sums&#39;vc.12" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="8.318190"/></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="0.010000"/></proof>
  <proof prover="1"><result status="valid" time="0.010000"/></proof>
  <proof prover="3"><result status="valid" time="0.000000"/></proof>
  <proof prover="5"><result status="valid" time="0.000000" steps="2996"/></proof>
  <proof prover="7"><result status="valid" time="0.020000" steps="0"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.1" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.030000"/></proof>
  <proof prover="1"><result status="valid" time="0.030000"/></proof>
  <proof prover="3"><result status="valid" time="0.050000"/></proof>
  <proof prover="7"><result status="valid" time="0.040000" steps="94"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.2" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.020000"/></proof>
  <proof prover="1"><result status="valid" time="0.010000"/></proof>
  <proof prover="3"><result status="valid" time="0.020000"/></proof>
  <proof prover="5"><result status="valid" time="0.040000" steps="29061"/></proof>
  <proof prover="7"><result status="valid" time="0.030000" steps="4"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.3" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.010000"/></proof>
  <proof prover="1"><result status="valid" time="0.020000"/></proof>
  <proof prover="3"><result status="valid" time="0.000000"/></proof>
  <proof prover="5"><result status="valid" time="0.000000" steps="27847"/></proof>
  <proof prover="7"><result status="valid" time="0.010000" steps="10"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.4" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.010000"/></proof>
  <proof prover="1"><result status="valid" time="0.010000"/></proof>
  <proof prover="3"><result status="valid" time="0.000000"/></proof>
  <proof prover="5"><result status="valid" time="0.000000" steps="28365"/></proof>
  <proof prover="7"><result status="valid" time="0.010000" steps="16"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.5" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.010000"/></proof>
  <proof prover="1"><result status="valid" time="0.020000"/></proof>
  <proof prover="3"><result status="valid" time="0.000000"/></proof>
  <proof prover="5"><result status="valid" time="0.000000" steps="28979"/></proof>
  <proof prover="7"><result status="valid" time="0.010000" steps="22"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.6" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.030000"/></proof>
  <proof prover="1"><result status="valid" time="0.030000"/></proof>
  <proof prover="7"><result status="valid" time="0.040000" steps="28"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.7" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.030000"/></proof>
  <proof prover="1"><result status="valid" time="0.020000"/></proof>
  <proof prover="3"><result status="valid" time="0.020000"/></proof>
  <proof prover="5"><result status="valid" time="0.030000" steps="30495"/></proof>
  <proof prover="7"><result status="valid" time="0.020000" steps="34"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.8" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.020000"/></proof>
  <proof prover="1"><result status="valid" time="0.010000"/></proof>
  <proof prover="3"><result status="valid" time="0.000000"/></proof>
  <proof prover="5"><result status="valid" time="0.000000" steps="31397"/></proof>
  <proof prover="7"><result status="valid" time="0.010000" steps="40"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.9" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.010000"/></proof>
  <proof prover="1"><result status="valid" time="0.010000"/></proof>
  <proof prover="3"><result status="valid" time="0.000000"/></proof>
  <proof prover="5"><result status="valid" time="0.000000" steps="32394"/></proof>
  <proof prover="7"><result status="valid" time="0.010000" steps="46"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.10" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.020000"/></proof>
  <proof prover="1"><result status="valid" time="0.050000"/></proof>
  <proof prover="7"><result status="valid" time="0.040000" steps="52"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.11" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.020000"/></proof>
  <proof prover="1"><result status="valid" time="0.030000"/></proof>
  <proof prover="7"><result status="valid" time="0.040000" steps="179"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.12" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.020000"/></proof>
  <proof prover="1"><result status="valid" time="0.030000"/></proof>
  <proof prover="7"><result status="valid" time="0.144997" steps="308"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.13" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.010000"/></proof>
  <proof prover="1"><result status="valid" time="0.000000"/></proof>
  <proof prover="3"><result status="valid" time="0.180000"/></proof>
  <proof prover="5"><result status="valid" time="1.058214" steps="2431247"/></proof>
  <proof prover="7"><result status="valid" time="0.179757" steps="316"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.14" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.020000"/></proof>
  <proof prover="1"><result status="valid" time="0.040000"/></proof>
  <proof prover="3"><result status="valid" time="0.320000"/></proof>
  <proof prover="5"><result status="valid" time="4.110344" steps="14522871"/></proof>
  <proof prover="7"><result status="valid" time="0.196598" steps="324"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.15" expl="assertion" proved="true">
  <proof prover="0" timelimit="30"><result status="valid" time="0.030000"/></proof>
  <proof prover="1" timelimit="30"><result status="valid" time="0.060000"/></proof>
  <proof prover="3" timelimit="30"><result status="valid" time="0.330000"/></proof>
  <proof prover="5" timelimit="30"><result status="valid" time="4.240542" steps="14533601"/></proof>
  <proof prover="7" timelimit="30" memlimit="1000"><result status="valid" time="0.252379" steps="332"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.16" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.030000"/></proof>
  <proof prover="1"><result status="valid" time="0.040000"/></proof>
  <proof prover="3"><result status="valid" time="0.370000"/></proof>
  <proof prover="5"><result status="valid" time="4.119380" steps="14545058"/></proof>
  <proof prover="7"><result status="valid" time="0.229121" steps="340"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.17" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.010000"/></proof>
  <proof prover="1"><result status="valid" time="0.120000"/></proof>
  <proof prover="3"><result status="valid" time="0.340000"/></proof>
  <proof prover="5"><result status="valid" time="3.685437" steps="14557114"/></proof>
  <proof prover="7"><result status="valid" time="0.140706" steps="348"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.18" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.020000"/></proof>
  <proof prover="1"><result status="valid" time="0.130000"/></proof>
  <proof prover="3"><result status="valid" time="0.340000"/></proof>
  <proof prover="5"><result status="valid" time="4.159424" steps="14570599"/></proof>
  <proof prover="7"><result status="valid" time="0.164202" steps="356"/></proof>
  </goal>
  <goal name="test_harness&#39;vc.19" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.020000"/></proof>
  <proof prover="1"><result status="valid" time="0.150000"/></proof>
  <proof prover="3"><result status="valid" time="0.180000"/></proof>
  <proof prover="5"><result status="valid" time="0.779889" steps="2356733"/></proof>
  <proof prover="7"><result status="valid" time="0.203356" steps="364"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="bench&#39;vc" expl="VC for bench" proved="true">
 <proof prover="7"><result status="valid" time="0.121289" steps="615"/></proof>
 </goal>
</theory>
</file>
</why3session>
