<?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="2.0.0" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="5" name="Z3" version="4.5.0" 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="0.00" steps="845"/></proof>
 </goal>
 <goal name="subset_valid_chunk" proved="true">
 <proof prover="8"><result status="valid" time="0.04" steps="6805"/></proof>
 </goal>
 <goal name="subset_valid" proved="true">
 <proof prover="8"><result status="valid" time="0.04" steps="7354"/></proof>
 </goal>
</theory>
<theory name="TheClassicalSudokuGrid" proved="true">
 <goal name="classical_sudoku&#39;vc" expl="VC for classical_sudoku" proved="true">
 <proof prover="5"><result status="valid" time="0.91" steps="2090639"/></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="0.04" steps="5957"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.1" expl="array creation size" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="5201"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.2" expl="loop invariant init" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="7186"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.3" expl="loop invariant init" proved="true">
  <proof prover="8"><result status="valid" time="0.01" steps="6241"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.4" expl="loop invariant init" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="7498"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.5" expl="index in array bounds" proved="true">
  <proof prover="8"><result status="valid" time="0.03" steps="8407"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.6" expl="index in array bounds" proved="true">
  <proof prover="8"><result status="valid" time="0.04" steps="8920"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.7" expl="index in array bounds" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="8172"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.8" expl="exceptional postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.05" steps="9674"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.9" expl="index in array bounds" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="8226"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.10" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="61"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.11" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="53"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.12" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.02" steps="66"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.13" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="50"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.14" expl="loop invariant preservation" proved="true">
  <proof prover="8"><result status="valid" time="0.03" steps="10364"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.15" expl="loop invariant preservation" proved="true">
  <proof prover="8"><result status="valid" time="0.03" steps="10706"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.16" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="7957"/></proof>
  </goal>
  <goal name="check_valid_chunk&#39;vc.17" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.01" steps="6248"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="check_valid&#39;vc" expl="VC for check_valid" proved="true">
 <proof prover="8"><result status="valid" time="0.04" steps="12280"/></proof>
 </goal>
 <goal name="full_up_to_change" proved="true">
 <proof prover="8"><result status="valid" time="0.02" steps="6533"/></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="0.03" steps="8248"/></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="0.02" steps="6923"/></proof>
 </goal>
 <goal name="valid_chunk_frame&#39;vc" expl="VC for valid_chunk_frame" proved="true">
 <proof prover="8"><result status="valid" time="0.08" steps="15070"/></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="0.02" steps="7714"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.1" expl="variant decrease" proved="true">
  <proof prover="8"><result status="valid" time="0.01" steps="6025"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.2" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.01" steps="6004"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.3" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="6535"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.4" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.01" steps="6046"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.5" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.01" steps="6053"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.6" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.01" steps="6601"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.7" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.01" steps="6587"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.8" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.01" steps="6073"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.9" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.03" steps="8273"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.10" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="6656"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.11" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.01" steps="6646"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.12" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.01" steps="6101"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.13" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.03" steps="8466"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.14" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="6711"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.15" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="6705"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.16" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.01" steps="6129"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.17" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.04" steps="8659"/></proof>
  </goal>
  <goal name="valid_up_to_frame&#39;vc.18" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.08" steps="16898"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="valid_unchanged_chunks" proved="true">
 <proof prover="8"><result status="valid" time="0.04" steps="9200"/></proof>
 </goal>
 <goal name="valid_changed_chunks" proved="true">
 <proof prover="5"><result status="valid" time="0.02" steps="20346"/></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="0.06" steps="13540"/></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="0.02" steps="8887"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.1" expl="index in array bounds" proved="true">
  <proof prover="8"><result status="valid" time="0.03" steps="7245"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.2" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.01" steps="6570"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.3" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.01" steps="6577"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.4" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.04" steps="7542"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.5" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="7197"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.6" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.01" steps="6598"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.7" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.01" steps="6605"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.8" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="7729"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.9" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="7244"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.10" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.01" steps="6626"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.11" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.01" steps="6633"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.12" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="7890"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.13" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="7291"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.14" expl="variant decrease" proved="true">
  <proof prover="8"><result status="valid" time="0.01" steps="6706"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.15" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="6654"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.16" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="6661"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.17" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.01" steps="6668"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.18" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="7304"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.19" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.04" steps="8893"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.20" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.04" steps="9214"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.21" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.01" steps="6776"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.22" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="7701"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.23" expl="exceptional postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="6497"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.24" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="8066"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.25" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.04" steps="10198"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.26" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.03" steps="7905"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.27" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.03" steps="10023"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.28" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.04" steps="7744"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.29" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.04" steps="9848"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.30" expl="loop invariant init" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="7994"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.31" expl="loop invariant init" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="6617"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.32" expl="loop invariant init" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="6737"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.33" expl="index in array bounds" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="7879"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.34" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.01" steps="7251"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.35" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.01" steps="8110"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.36" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.03" steps="8605"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.37" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="7391"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.38" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.03" steps="8203"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.39" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.04" steps="10714"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.40" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.04" steps="9229"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.41" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.03" steps="8443"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.42" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.04" steps="8298"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.43" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.04" steps="10935"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.44" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.03" steps="9462"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.45" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.03" steps="8536"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.46" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="8393"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.47" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.06" steps="11148"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.48" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.03" steps="9669"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.49" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="8629"/></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="0.06" steps="12037"/></proof>
   </goal>
   <goal name="solve_aux&#39;vc.50.1" expl="assertion" proved="true">
   <proof prover="8"><result status="valid" time="0.09" steps="16022"/></proof>
   </goal>
   <goal name="solve_aux&#39;vc.50.2" expl="assertion" proved="true">
   <proof prover="8"><result status="valid" time="0.10" steps="16211"/></proof>
   </goal>
   <goal name="solve_aux&#39;vc.50.3" expl="assertion" proved="true">
   <proof prover="8"><result status="valid" time="0.09" steps="16400"/></proof>
   </goal>
   <goal name="solve_aux&#39;vc.50.4" expl="assertion" proved="true">
   <proof prover="8"><result status="valid" time="0.29" steps="41403"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="solve_aux&#39;vc.51" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="7760"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.52" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.03" steps="10692"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.53" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.01" steps="7806"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.54" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.01" steps="8969"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.55" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="9037"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.56" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="9097"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.57" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.03" steps="9157"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.58" expl="variant decrease" proved="true">
  <proof prover="8"><result status="valid" time="0.01" steps="7812"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.59" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="7767"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.60" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.03" steps="8947"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.61" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.04" steps="13228"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.62" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.04" steps="9086"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.63" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.04" steps="11363"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.64" expl="precondition" proved="true">
  <proof prover="8"><result status="valid" time="0.04" steps="12721"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.65" expl="loop invariant preservation" proved="true">
  <proof prover="8"><result status="valid" time="0.07" steps="16655"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.66" expl="loop invariant preservation" proved="true">
  <proof prover="8"><result status="valid" time="0.10" steps="17412"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.67" expl="loop invariant preservation" proved="true">
  <proof prover="8"><result status="valid" time="0.12" steps="21873"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.68" expl="exceptional postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.09" steps="18781"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.69" expl="assertion" proved="true">
  <proof prover="8"><result status="valid" time="0.12" steps="17032"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.70" expl="assertion" proved="true">
  <proof prover="8"><result status="valid" time="0.03" steps="8775"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.71" expl="loop invariant preservation" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="9099"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.72" expl="loop invariant preservation" proved="true">
  <proof prover="8"><result status="valid" time="0.06" steps="12836"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.73" expl="loop invariant preservation" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="solve_aux&#39;vc.73.0" expl="loop invariant preservation" proved="true">
   <proof prover="8"><result status="valid" time="0.05" steps="11472"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="solve_aux&#39;vc.74" expl="assertion" proved="true">
  <proof prover="8"><result status="valid" time="0.10" steps="16816"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.75" expl="assertion" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="8676"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.76" expl="loop invariant preservation" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="9008"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.77" expl="loop invariant preservation" proved="true">
  <proof prover="8"><result status="valid" time="0.06" steps="12623"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.78" expl="loop invariant preservation" proved="true">
  <proof prover="8"><result status="valid" time="0.03" steps="11263"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.79" expl="assertion" proved="true">
  <proof prover="8"><result status="valid" time="0.11" steps="16632"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.80" expl="assertion" proved="true">
  <proof prover="8"><result status="valid" time="0.03" steps="8577"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.81" expl="loop invariant preservation" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="8917"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.82" expl="loop invariant preservation" proved="true">
  <proof prover="8"><result status="valid" time="0.06" steps="12410"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.83" expl="loop invariant preservation" proved="true">
  <proof prover="8"><result status="valid" time="0.04" steps="11054"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.84" expl="index in array bounds" proved="true">
  <proof prover="8"><result status="valid" time="0.02" steps="7629"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.85" expl="assertion" proved="true">
  <proof prover="8"><result status="valid" time="0.06" steps="10843"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.86" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.03" steps="7914"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.87" expl="postcondition" proved="true">
  <proof prover="8"><result status="valid" time="0.08" steps="15029"/></proof>
  </goal>
  <goal name="solve_aux&#39;vc.88" expl="out of loop bounds" proved="true">
  <proof prover="8"><result status="valid" time="0.01" steps="7044"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="solve&#39;vc" expl="VC for solve" proved="true">
 <proof prover="8"><result status="valid" time="0.02" steps="8281"/></proof>
 </goal>
 <goal name="check_then_solve&#39;vc" expl="VC for check_then_solve" proved="true">
 <proof prover="8"><result status="valid" time="0.04" steps="7271"/></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="0.03" steps="7998"/></proof>
 </goal>
 <goal name="test1&#39;vc" expl="VC for test1" proved="true">
 <proof prover="5"><result status="valid" time="0.12" steps="245843"/></proof>
 </goal>
 <goal name="test2&#39;vc" expl="VC for test2" proved="true">
 <proof prover="8"><result status="valid" time="0.03" steps="7987"/></proof>
 </goal>
</theory>
</file>
</why3session>
