<?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="1" name="Alt-Ergo" version="2.1.0" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="2" name="Z3" version="4.12.2" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="8" name="CVC4" version="1.5" timelimit="1" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="sudoku.mlw"/>
<theory name="Grid" proved="true">
 <goal name="grid_eq_sub" proved="true">
 <proof prover="8"><result status="valid" time="0.000000" steps="845"/></proof>
 </goal>
 <goal name="subset_valid_chunk" proved="true">
 <proof prover="8"><result status="valid" time="0.040000" steps="6449"/></proof>
 </goal>
 <goal name="subset_valid" proved="true">
 <proof prover="8"><result status="valid" time="0.040000" steps="6998"/></proof>
 </goal>
</theory>
<theory name="TheClassicalSudokuGrid" proved="true">
 <goal name="classical_sudoku&#39;vc" expl="VC for classical_sudoku" proved="true">
 <proof prover="2"><result status="valid" time="1.649691" steps="3383088"/></proof>
 </goal>
</theory>
<theory name="Solver" proved="true">
 <goal name="check_valid_chunk&#39;vc" expl="VC for check_valid_chunk" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="check_valid_chunk&#39;vc.0" expl="index in array bounds" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="5680"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.1" expl="array creation size" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="4987"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.2" expl="loop invariant init" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="6832"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.3" expl="loop invariant init" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="5958"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.4" expl="loop invariant init" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="7144"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.5" expl="index in array bounds" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="8056"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.6" expl="index in array bounds" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="8569"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.7" expl="index in array bounds" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="7912"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.8" expl="exceptional postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.050000" steps="9418"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.9" expl="index in array bounds" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="7970"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.10" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="117"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.11" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="106"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.12" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="107"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.13" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="95"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.14" expl="loop invariant preservation" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="10113"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.15" expl="loop invariant preservation" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="10459"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.16" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="7606"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.17" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="5965"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="check_valid&#39;vc" expl="VC for check_valid" proved="true">
 <proof prover="8"><result status="valid" time="0.040000" steps="12006"/></proof>
 </goal>
 <goal name="full_up_to_change" proved="true">
 <proof prover="8"><result status="valid" time="0.020000" steps="6177"/></proof>
 </goal>
 <goal name="full_up_to_frame&#39;vc" expl="VC for full_up_to_frame" proved="true">
 <proof prover="8"><result status="valid" time="0.030000" steps="7889"/></proof>
 </goal>
 <goal name="full_up_to_frame_all&#39;vc" expl="VC for full_up_to_frame_all" proved="true">
 <proof prover="8"><result status="valid" time="0.020000" steps="6568"/></proof>
 </goal>
 <goal name="valid_chunk_frame&#39;vc" expl="VC for valid_chunk_frame" proved="true">
 <proof prover="8"><result status="valid" time="0.080000" steps="14715"/></proof>
 </goal>
 <goal name="valid_up_to_frame&#39;vc" expl="VC for valid_up_to_frame" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="valid_up_to_frame&#39;vc.0" expl="assertion" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="7359"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.1" expl="variant decrease" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="5743"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.2" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="5722"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.3" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="6194"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.4" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="5764"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.5" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="5771"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.6" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="6260"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.7" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="6246"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.8" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="5791"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.9" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="7918"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.10" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="6315"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.11" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="6305"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.12" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="5819"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.13" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="8111"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.14" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="6370"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.15" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="6364"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.16" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="5847"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.17" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="8304"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.18" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.080000" steps="16539"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="valid_unchanged_chunks" proved="true">
 <proof prover="8"><result status="valid" time="0.040000" steps="8844"/></proof>
 </goal>
 <goal name="valid_changed_chunks" proved="true">
 <proof prover="2"><result status="valid" time="0.010000" steps="27665"/></proof>
 </goal>
 <goal name="valid_up_to_change&#39;vc" expl="VC for valid_up_to_change" proved="true">
 <proof prover="8"><result status="valid" time="0.060000" steps="13184"/></proof>
 </goal>
 <goal name="solve_aux&#39;vc" expl="VC for solve_aux" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="solve_aux&#39;vc.0" expl="exceptional postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="8614"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.1" expl="index in array bounds" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="6971"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.2" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="6355"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.3" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="6362"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.4" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="7268"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.5" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="6923"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.6" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="6383"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.7" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="6390"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.8" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="7455"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.9" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="6970"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.10" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="6411"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.11" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="6418"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.12" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="7616"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.13" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="7017"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.14" expl="variant decrease" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="6491"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.15" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="6439"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.16" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="6446"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.17" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="6453"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.18" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="7030"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.19" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="8619"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.20" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="8940"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.21" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="6561"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.22" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="7427"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.23" expl="exceptional postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="6256"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.24" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="7792"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.25" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="9925"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.26" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="7631"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.27" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="9750"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.28" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="7470"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.29" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="9575"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.30" expl="loop invariant init" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="7719"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.31" expl="loop invariant init" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="6403"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.32" expl="loop invariant init" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="6523"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.33" expl="index in array bounds" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="7605"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.34" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="7022"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.35" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="7821"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.36" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="8316"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.37" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="7162"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.38" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="7914"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.39" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="10426"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.40" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="8941"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.41" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="8154"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.42" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="8009"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.43" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="10647"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.44" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="9174"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.45" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="8247"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.46" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="8104"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.47" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="10860"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.48" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="9381"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.49" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="8340"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.50" expl="assertion" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="solve_aux&#39;vc.50.0" expl="assertion" proved="true">
   <proof prover="8"><result status="valid" time="0.060000" steps="11745"/></proof>
   </goal>
   <goal name="solve_aux&#39;vc.50.1" expl="assertion" proved="true">
   <proof prover="8"><result status="valid" time="0.090000" steps="15734"/></proof>
   </goal>
   <goal name="solve_aux&#39;vc.50.2" expl="assertion" proved="true">
   <proof prover="8"><result status="valid" time="0.100000" steps="15923"/></proof>
   </goal>
   <goal name="solve_aux&#39;vc.50.3" expl="assertion" proved="true">
   <proof prover="8"><result status="valid" time="0.090000" steps="16112"/></proof>
   </goal>
   <goal name="solve_aux&#39;vc.50.4" expl="assertion" proved="true">
   <proof prover="8"><result status="valid" time="0.290000" steps="41115"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="solve_aux&#39;vc.51" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="7531"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.52" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="10404"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.53" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="7577"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.54" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="8680"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.55" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="8748"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.56" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="8808"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.57" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="8868"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.58" expl="variant decrease" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="7583"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.59" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="7538"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.60" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="8658"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.61" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.060000" steps="12940"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.62" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="8797"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.63" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="11075"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.64" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="12433"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.65" expl="loop invariant preservation" proved="true">
  <proof prover="8"><result status="valid" time="0.070000" steps="16363"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.66" expl="loop invariant preservation" proved="true">
  <proof prover="8"><result status="valid" time="0.100000" steps="17124"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.67" expl="loop invariant preservation" proved="true">
  <proof prover="8"><result status="valid" time="0.040000" steps="21585"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.68" expl="exceptional postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.090000" steps="18489"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.69" expl="assertion" proved="true">
  <proof prover="8"><result status="valid" time="0.110000" steps="16744"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.70" expl="assertion" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="8486"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.71" expl="loop invariant preservation" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="8810"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.72" expl="loop invariant preservation" proved="true">
  <proof prover="8"><result status="valid" time="0.060000" steps="12548"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.73" expl="loop invariant preservation" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="11184"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.74" expl="assertion" proved="true">
  <proof prover="8"><result status="valid" time="0.100000" steps="16528"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.75" expl="assertion" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="8387"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.76" expl="loop invariant preservation" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="8719"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.77" expl="loop invariant preservation" proved="true">
  <proof prover="8"><result status="valid" time="0.060000" steps="12335"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.78" expl="loop invariant preservation" proved="true">
  <proof prover="8"><result status="valid" time="0.120000" steps="10975"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.79" expl="assertion" proved="true">
  <proof prover="8"><result status="valid" time="0.120000" steps="16344"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.80" expl="assertion" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="8288"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.81" expl="loop invariant preservation" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="8628"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.82" expl="loop invariant preservation" proved="true">
  <proof prover="8"><result status="valid" time="0.060000" steps="12122"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.83" expl="loop invariant preservation" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="solve_aux&#39;vc.83.0" expl="loop invariant preservation" proved="true">
   <proof prover="8"><result status="valid" time="0.050000" steps="10766"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="solve_aux&#39;vc.84" expl="index in array bounds" proved="true">
  <proof prover="8"><result status="valid" time="0.020000" steps="7355"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.85" expl="assertion" proved="true">
  <proof prover="8"><result status="valid" time="0.060000" steps="10555"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.86" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.030000" steps="7625"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.87" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.080000" steps="14741"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.88" expl="out of loop bounds" proved="true">
  <proof prover="8"><result status="valid" time="0.010000" steps="6815"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="solve&#39;vc" expl="VC for solve" proved="true">
 <proof prover="8"><result status="valid" time="0.020000" steps="8007"/></proof>
 </goal>
 <goal name="check_then_solve&#39;vc" expl="VC for check_then_solve" proved="true">
 <proof prover="8"><result status="valid" time="0.040000" steps="6997"/></proof>
 </goal>
</theory>
<theory name="Test" proved="true">
 <goal name="test0&#39;vc" expl="VC for test0" proved="true">
 <proof prover="8"><result status="valid" time="0.030000" steps="7724"/></proof>
 </goal>
 <goal name="test1&#39;vc" expl="VC for test1" proved="true">
 <proof prover="2"><result status="valid" time="0.418277" steps="694511"/></proof>
 </goal>
 <goal name="test2&#39;vc" expl="VC for test2" proved="true">
 <proof prover="8"><result status="valid" time="0.030000" steps="7713"/></proof>
 </goal>
</theory>
</file>
</why3session>
