<?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="Alt-Ergo" version="2.2.0" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="2" name="CVC4" version="1.6" timelimit="1" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="fenwick.mlw"/>
<theory name="Fenwick" proved="true">
 <goal name="make&#39;vc" expl="VC for make" proved="true">
 <proof prover="2"><result status="valid" time="0.06" steps="10059"/></proof>
 </goal>
 <goal name="add&#39;vc" expl="VC for add" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="add&#39;vc.0" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.02" steps="6067"/></proof>
  </goal>
  <goal name="add&#39;vc.1" expl="index in array bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.06" steps="8633"/></proof>
  </goal>
  <goal name="add&#39;vc.2" expl="index in array bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="8633"/></proof>
  </goal>
  <goal name="add&#39;vc.3" expl="loop invariant init" proved="true">
  <proof prover="2"><result status="valid" time="0.06" steps="9137"/></proof>
  </goal>
  <goal name="add&#39;vc.4" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.38" steps="433"/></proof>
  </goal>
  <goal name="add&#39;vc.5" expl="loop invariant init" proved="true">
  <proof prover="2"><result status="valid" time="0.02" steps="6656"/></proof>
  </goal>
  <goal name="add&#39;vc.6" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.02" steps="6820"/></proof>
  </goal>
  <goal name="add&#39;vc.7" expl="index in array bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="9131"/></proof>
  </goal>
  <goal name="add&#39;vc.8" expl="index in array bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="9131"/></proof>
  </goal>
  <goal name="add&#39;vc.9" expl="loop variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="9591"/></proof>
  </goal>
  <goal name="add&#39;vc.10" expl="loop invariant preservation" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="9667"/></proof>
  </goal>
  <goal name="add&#39;vc.11" expl="loop invariant preservation" proved="true">
  <proof prover="0" timelimit="10"><result status="valid" time="1.60" steps="1371"/></proof>
  </goal>
  <goal name="add&#39;vc.12" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="198"/></proof>
  </goal>
  <goal name="add&#39;vc.13" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="10284"/></proof>
  </goal>
  <goal name="add&#39;vc.14" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="210"/></proof>
  </goal>
  <goal name="add&#39;vc.15" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="114"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="sum_dec&#39;vc" expl="VC for sum_dec" proved="true">
 <proof prover="0"><result status="valid" time="0.31" steps="390"/></proof>
 </goal>
 <goal name="fen_compact&#39;vc" expl="VC for fen_compact" proved="true">
 <proof prover="2"><result status="valid" time="0.13" steps="34591"/></proof>
 </goal>
 <goal name="query&#39;vc" expl="VC for query" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="query&#39;vc.0" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.02" steps="6106"/></proof>
  </goal>
  <goal name="query&#39;vc.1" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.04" steps="6099"/></proof>
  </goal>
  <goal name="query&#39;vc.2" expl="loop invariant init" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="8705"/></proof>
  </goal>
  <goal name="query&#39;vc.3" expl="loop invariant init" proved="true">
  <transf name="inline_goal" proved="true" >
   <goal name="query&#39;vc.3.0" expl="loop invariant init" proved="true">
   <proof prover="0"><result status="valid" time="0.38" steps="846"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="query&#39;vc.4" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.03" steps="6904"/></proof>
  </goal>
  <goal name="query&#39;vc.5" expl="index in array bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.03" steps="7588"/></proof>
  </goal>
  <goal name="query&#39;vc.6" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.03" steps="6898"/></proof>
  </goal>
  <goal name="query&#39;vc.7" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.03" steps="6936"/></proof>
  </goal>
  <goal name="query&#39;vc.8" expl="index in array bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="7742"/></proof>
  </goal>
  <goal name="query&#39;vc.9" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.03" steps="7007"/></proof>
  </goal>
  <goal name="query&#39;vc.10" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="12024"/></proof>
  </goal>
  <goal name="query&#39;vc.11" expl="loop variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="10831"/></proof>
  </goal>
  <goal name="query&#39;vc.12" expl="loop invariant preservation" proved="true">
  <proof prover="2"><result status="valid" time="0.09" steps="16312"/></proof>
  </goal>
  <goal name="query&#39;vc.13" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="48"/></proof>
  </goal>
  <goal name="query&#39;vc.14" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.03" steps="6976"/></proof>
  </goal>
  <goal name="query&#39;vc.15" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.09" steps="11777"/></proof>
  </goal>
  <goal name="query&#39;vc.16" expl="loop variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="10685"/></proof>
  </goal>
  <goal name="query&#39;vc.17" expl="loop invariant preservation" proved="true">
  <proof prover="2"><result status="valid" time="0.06" steps="10447"/></proof>
  </goal>
  <goal name="query&#39;vc.18" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.03" steps="46"/></proof>
  </goal>
  <goal name="query&#39;vc.19" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.03" steps="6949"/></proof>
  </goal>
  <goal name="query&#39;vc.20" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.04" steps="6987"/></proof>
  </goal>
  <goal name="query&#39;vc.21" expl="index in array bounds" proved="true">
  <proof prover="2"><result status="valid" time="0.04" steps="7753"/></proof>
  </goal>
  <goal name="query&#39;vc.22" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.03" steps="6986"/></proof>
  </goal>
  <goal name="query&#39;vc.23" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="11844"/></proof>
  </goal>
  <goal name="query&#39;vc.24" expl="loop variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.06" steps="14957"/></proof>
  </goal>
  <goal name="query&#39;vc.25" expl="loop invariant preservation" proved="true">
  <proof prover="2"><result status="valid" time="0.09" steps="14979"/></proof>
  </goal>
  <goal name="query&#39;vc.26" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="46"/></proof>
  </goal>
  <goal name="query&#39;vc.27" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.03" steps="7027"/></proof>
  </goal>
  <goal name="query&#39;vc.28" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="9244"/></proof>
  </goal>
  <goal name="query&#39;vc.29" expl="loop variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="12839"/></proof>
  </goal>
  <goal name="query&#39;vc.30" expl="loop invariant preservation" proved="true">
  <proof prover="2"><result status="valid" time="0.06" steps="10232"/></proof>
  </goal>
  <goal name="query&#39;vc.31" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="44"/></proof>
  </goal>
  <goal name="query&#39;vc.32" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.04" steps="8684"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
