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<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
"http://why3.lri.fr/why3session.dtd">
<why3session shape_version="4">
<prover id="0" name="Eprover" version="1.9.1-001" timelimit="5" steplimit="0" memlimit="2000"/>
<prover id="1" name="CVC4" version="1.4" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="3" name="Z3" version="4.5.0" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="4" name="CVC3" version="2.4.1" timelimit="5" steplimit="0" memlimit="2000"/>
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<prover id="5" name="Alt-Ergo" version="2.0.0" timelimit="1" steplimit="0" memlimit="1000"/>
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<file name="../toom.mlw" proved="true">
<theory name="Toom" proved="true">
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 <goal name="VC toom22_threshold" expl="VC for toom22_threshold" proved="true">
 <proof prover="3"><result status="valid" time="0.01"/></proof>
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 <transf name="split_vc" proved="true" >
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 </transf>
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 </goal>
 <goal name="VC no_borrow" expl="VC for no_borrow" proved="true">
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 <transf name="split_goal_right" proved="true" >
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  <goal name="VC no_borrow.0" expl="assertion" proved="true">
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  <transf name="split_goal_right" proved="true" >
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   <goal name="VC no_borrow.0.0" expl="VC for no_borrow" proved="true">
   <proof prover="3"><result status="valid" time="0.02"/></proof>
   </goal>
   <goal name="VC no_borrow.0.1" expl="VC for no_borrow" proved="true">
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   <proof prover="5"><result status="valid" time="0.01" steps="40"/></proof>
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   </goal>
  </transf>
  </goal>
  <goal name="VC no_borrow.1" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.02"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="VC no_borrow_ptr" expl="VC for no_borrow_ptr" proved="true">
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 <transf name="split_goal_right" proved="true" >
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  <goal name="VC no_borrow_ptr.0" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.02"/></proof>
  </goal>
  <goal name="VC no_borrow_ptr.1" expl="precondition" proved="true">
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  <transf name="split_goal_right" proved="true" >
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   <goal name="VC no_borrow_ptr.1.0" expl="VC for no_borrow_ptr" proved="true">
   <proof prover="3"><result status="valid" time="0.08"/></proof>
   </goal>
   <goal name="VC no_borrow_ptr.1.1" expl="VC for no_borrow_ptr" proved="true">
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   <proof prover="5"><result status="valid" time="0.24" steps="209"/></proof>
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   </goal>
  </transf>
  </goal>
  <goal name="VC no_borrow_ptr.2" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.02"/></proof>
  </goal>
  <goal name="VC no_borrow_ptr.3" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.02"/></proof>
  </goal>
  <goal name="VC no_borrow_ptr.4" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.01"/></proof>
  </goal>
 </transf>
 </goal>
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 <goal name="VC toom22_mul" expl="VC for toom22_mul" proved="true">
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 <transf name="split_vc" proved="true" >
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  <goal name="VC toom22_mul.0" expl="division by zero" proved="true">
  <proof prover="3"><result status="valid" time="0.02"/></proof>
  </goal>
  <goal name="VC toom22_mul.1" expl="integer overflow" proved="true">
  <proof prover="3"><result status="valid" time="0.03"/></proof>
  </goal>
  <goal name="VC toom22_mul.2" expl="integer overflow" proved="true">
  <proof prover="3"><result status="valid" time="0.03"/></proof>
  </goal>
  <goal name="VC toom22_mul.3" expl="integer overflow" proved="true">
  <proof prover="3"><result status="valid" time="0.04"/></proof>
  </goal>
  <goal name="VC toom22_mul.4" expl="assertion" proved="true">
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  <proof prover="3"><result status="valid" time="0.33"/></proof>
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  </goal>
  <goal name="VC toom22_mul.5" expl="assertion" proved="true">
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  <proof prover="1"><result status="valid" time="1.29"/></proof>
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  </goal>
  <goal name="VC toom22_mul.6" expl="assertion" proved="true">
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  <proof prover="5"><result status="valid" time="0.02" steps="30"/></proof>
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  </goal>
  <goal name="VC toom22_mul.7" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.03"/></proof>
  </goal>
  <goal name="VC toom22_mul.8" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.03"/></proof>
  </goal>
  <goal name="VC toom22_mul.9" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.04"/></proof>
  </goal>
  <goal name="VC toom22_mul.10" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.04"/></proof>
  </goal>
  <goal name="VC toom22_mul.11" expl="assertion" proved="true">
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  <proof prover="5"><result status="valid" time="0.06" steps="101"/></proof>
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  </goal>
  <goal name="VC toom22_mul.12" expl="assertion" proved="true">
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  <proof prover="5"><result status="valid" time="0.13" steps="102"/></proof>
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  </goal>
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  <goal name="VC toom22_mul.13" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.01"/></proof>
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  </goal>
  <goal name="VC toom22_mul.14" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.04"/></proof>
  </goal>
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  <goal name="VC toom22_mul.15" expl="integer overflow" proved="true">
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  <proof prover="0"><result status="valid" time="4.61"/></proof>
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  </goal>
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  <goal name="VC toom22_mul.16" expl="precondition" proved="true">
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  <proof prover="3"><result status="valid" time="0.04"/></proof>
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  </goal>
  <goal name="VC toom22_mul.17" expl="precondition" proved="true">
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  <transf name="split_vc" proved="true" >
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   <goal name="VC toom22_mul.17.0" expl="VC for toom22_mul" proved="true">
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   <proof prover="1"><result status="valid" time="0.18"/></proof>
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   </goal>
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   <goal name="VC toom22_mul.17.1" expl="VC for toom22_mul" proved="true">
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   <proof prover="1"><result status="valid" time="0.09"/></proof>
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   </goal>
  </transf>
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  </goal>
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  <goal name="VC toom22_mul.18" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.01"/></proof>
  </goal>
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  <goal name="VC toom22_mul.19" expl="precondition" proved="true">
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  <proof prover="3"><result status="valid" time="0.00"/></proof>
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  </goal>
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  <goal name="VC toom22_mul.20" expl="assertion" proved="true">
  <proof prover="3"><result status="valid" time="0.01"/></proof>
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  </goal>
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  <goal name="VC toom22_mul.21" expl="integer overflow" proved="true">
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  <proof prover="3"><result status="valid" time="0.04"/></proof>
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  </goal>
  <goal name="VC toom22_mul.22" expl="precondition" proved="true">
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  <proof prover="5"><result status="valid" time="0.18" steps="91"/></proof>
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  </goal>
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  <goal name="VC toom22_mul.23" expl="precondition" proved="true">
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  <proof prover="5"><result status="valid" time="0.15" steps="93"/></proof>
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  </goal>
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  <goal name="VC toom22_mul.24" expl="integer overflow" proved="true">
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  <proof prover="0"><result status="valid" time="0.04"/></proof>
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  </goal>
  <goal name="VC toom22_mul.25" expl="precondition" proved="true">
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  <proof prover="3"><result status="valid" time="0.04"/></proof>
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  </goal>
  <goal name="VC toom22_mul.26" expl="precondition" proved="true">
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  <proof prover="3"><result status="valid" time="0.05"/></proof>
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  </goal>
  <goal name="VC toom22_mul.27" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.04"/></proof>
  </goal>
  <goal name="VC toom22_mul.28" expl="precondition" proved="true">
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  <proof prover="1"><result status="valid" time="0.16"/></proof>
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  </goal>
  <goal name="VC toom22_mul.29" expl="precondition" proved="true">
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  <proof prover="5"><result status="valid" time="0.59" steps="210"/></proof>
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  </goal>
  <goal name="VC toom22_mul.30" expl="precondition" proved="true">
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  <proof prover="5"><result status="valid" time="0.62" steps="199"/></proof>
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  </goal>
  <goal name="VC toom22_mul.31" expl="postcondition" proved="true">
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  <proof prover="1"><result status="valid" time="0.19"/></proof>
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  </goal>
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  <goal name="VC toom22_mul.32" expl="precondition" proved="true">
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  <proof prover="5"><result status="valid" time="0.53" steps="212"/></proof>
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  </goal>
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  <goal name="VC toom22_mul.33" expl="precondition" proved="true">
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  <proof prover="5"><result status="valid" time="0.34" steps="164"/></proof>
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  </goal>
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  <goal name="VC toom22_mul.34" expl="precondition" proved="true">
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  <transf name="introduce_premises" proved="true" >
   <goal name="VC toom22_mul.34.0" expl="precondition" proved="true">
   <transf name="inline_goal" proved="true" >
    <goal name="VC toom22_mul.34.0.0" expl="precondition" proved="true">
    <transf name="split_vc" proved="true" >
     <goal name="VC toom22_mul.34.0.0.0" expl="VC for toom22_mul" proved="true">
     <proof prover="3"><result status="valid" time="0.15"/></proof>
     </goal>
     <goal name="VC toom22_mul.34.0.0.1" expl="VC for toom22_mul" proved="true">
     <proof prover="3"><result status="valid" time="0.04"/></proof>
     </goal>
     <goal name="VC toom22_mul.34.0.0.2" expl="VC for toom22_mul" proved="true">
     <proof prover="3"><result status="valid" time="0.15"/></proof>
     </goal>
     <goal name="VC toom22_mul.34.0.0.3" expl="VC for toom22_mul" proved="true">
     <proof prover="3"><result status="valid" time="0.13"/></proof>
     </goal>
     <goal name="VC toom22_mul.34.0.0.4" expl="VC for toom22_mul" proved="true">
     <proof prover="3"><result status="valid" time="0.02"/></proof>
     </goal>
     <goal name="VC toom22_mul.34.0.0.5" expl="VC for toom22_mul" proved="true">
     <proof prover="3"><result status="valid" time="0.11"/></proof>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
  </transf>
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  </goal>
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  <goal name="VC toom22_mul.35" expl="precondition" proved="true">
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  <proof prover="3"><result status="valid" time="0.01"/></proof>
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  </goal>
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  <goal name="VC toom22_mul.36" expl="precondition" proved="true">
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  <proof prover="3"><result status="valid" time="0.02"/></proof>
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  </goal>
  <goal name="VC toom22_mul.37" expl="precondition" proved="true">
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  <proof prover="3"><result status="valid" time="0.02"/></proof>
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  </goal>
  <goal name="VC toom22_mul.38" expl="precondition" proved="true">
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  <proof prover="3"><result status="valid" time="0.01"/></proof>
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  </goal>
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  <goal name="VC toom22_mul.39" expl="postcondition" proved="true">
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  <proof prover="5"><result status="valid" time="0.63" steps="140"/></proof>
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  </goal>
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  <goal name="VC toom22_mul.40" expl="postcondition" proved="true">
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  <proof prover="3"><result status="valid" time="0.01"/></proof>
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  <transf name="split_vc" proved="true" >
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  </transf>
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  </goal>
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  <goal name="VC toom22_mul.41" expl="postcondition" proved="true">
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  <proof prover="3"><result status="valid" time="0.03"/></proof>
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  <transf name="split_vc" proved="true" >
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  </transf>
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  </goal>
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  <goal name="VC toom22_mul.42" expl="postcondition" proved="true">
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  <proof prover="3"><result status="valid" time="0.04"/></proof>
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  <transf name="split_vc" proved="true" >
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  </transf>
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  </goal>
  <goal name="VC toom22_mul.43" expl="precondition" proved="true">
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  <proof prover="1" timelimit="5" memlimit="2000"><result status="valid" time="0.36"/></proof>
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  </goal>
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  <goal name="VC toom22_mul.44" expl="precondition" proved="true">
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  <proof prover="5"><result status="valid" time="0.44" steps="200"/></proof>
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  </goal>
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  <goal name="VC toom22_mul.45" expl="precondition" proved="true">
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  <proof prover="1"><result status="valid" time="0.16"/></proof>
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  </goal>
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  <goal name="VC toom22_mul.46" expl="precondition" proved="true">
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  <proof prover="3"><result status="valid" time="0.04"/></proof>
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  </goal>
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  <goal name="VC toom22_mul.47" expl="precondition" proved="true">
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  <proof prover="3"><result status="valid" time="0.01"/></proof>
  </goal>
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  <goal name="VC toom22_mul.48" expl="precondition" proved="true">
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  <proof prover="3"><result status="valid" time="0.01"/></proof>
  </goal>
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  <goal name="VC toom22_mul.49" expl="precondition" proved="true">
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  <proof prover="3"><result status="valid" time="0.02"/></proof>
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  </goal>
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  <goal name="VC toom22_mul.50" expl="postcondition" proved="true">
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  <proof prover="1"><result status="valid" time="0.11"/></proof>
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  </goal>
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  <goal name="VC toom22_mul.51" expl="postcondition" proved="true">
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  <proof prover="3"><result status="valid" time="0.02"/></proof>
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  <transf name="split_vc" proved="true" >
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  </transf>
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  </goal>
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  <goal name="VC toom22_mul.52" expl="postcondition" proved="true">
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  <proof prover="3"><result status="valid" time="0.02"/></proof>
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  <transf name="split_vc" proved="true" >
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  </transf>
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  </goal>
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  <goal name="VC toom22_mul.53" expl="postcondition" proved="true">
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  <proof prover="3"><result status="valid" time="0.01"/></proof>
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  <transf name="split_vc" proved="true" >
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  </transf>
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  </goal>
  <goal name="VC toom22_mul.54" expl="precondition" proved="true">
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  <proof prover="5"><result status="valid" time="0.60" steps="182"/></proof>
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  </goal>
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  <goal name="VC toom22_mul.55" expl="precondition" proved="true">
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  <proof prover="1" timelimit="5" memlimit="2000"><result status="valid" time="0.53"/></proof>
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  <proof prover="5" timelimit="5" memlimit="2000"><result status="valid" time="0.51" steps="213"/></proof>
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  </goal>
  <goal name="VC toom22_mul.56" expl="precondition" proved="true">
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  <proof prover="5"><result status="valid" time="0.49" steps="202"/></proof>
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  </goal>
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  <goal name="VC toom22_mul.57" expl="assertion" proved="true">
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  <proof prover="3"><result status="valid" time="0.40"/></proof>
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  </goal>
  <goal name="VC toom22_mul.58" expl="precondition" proved="true">
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  <proof prover="3"><result status="valid" time="0.03"/></proof>
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  </goal>
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  <goal name="VC toom22_mul.59" expl="assertion" proved="true">
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  <proof prover="5" timelimit="5" memlimit="2000"><result status="valid" time="0.48" steps="137"/></proof>
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288 289
  </goal>
  <goal name="VC toom22_mul.60" expl="precondition" proved="true">
290
  <proof prover="5" timelimit="5" memlimit="2000"><result status="valid" time="0.52" steps="220"/></proof>
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Raphael Rieu-Helft committed
291 292
  </goal>
  <goal name="VC toom22_mul.61" expl="precondition" proved="true">
293
  <proof prover="5"><result status="valid" time="0.51" steps="172"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
294 295
  </goal>
  <goal name="VC toom22_mul.62" expl="precondition" proved="true">
296
  <proof prover="5"><result status="valid" time="0.59" steps="217"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
297 298
  </goal>
  <goal name="VC toom22_mul.63" expl="precondition" proved="true">
299
  <proof prover="3"><result status="valid" time="0.01"/></proof>
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Raphael Rieu-Helft committed
300 301
  </goal>
  <goal name="VC toom22_mul.64" expl="precondition" proved="true">
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Raphael Rieu-Helft committed
302
  <proof prover="3"><result status="valid" time="0.03"/></proof>
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Raphael Rieu-Helft committed
303 304
  </goal>
  <goal name="VC toom22_mul.65" expl="precondition" proved="true">
305
  <proof prover="3"><result status="valid" time="0.01"/></proof>
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Raphael Rieu-Helft committed
306 307
  </goal>
  <goal name="VC toom22_mul.66" expl="precondition" proved="true">
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Raphael Rieu-Helft committed
308
  <proof prover="3"><result status="valid" time="0.01"/></proof>
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Raphael Rieu-Helft committed
309
  </goal>
310 311
  <goal name="VC toom22_mul.67" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.01"/></proof>
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Raphael Rieu-Helft committed
312
  </goal>
313
  <goal name="VC toom22_mul.68" expl="precondition" proved="true">
314
  <proof prover="3"><result status="valid" time="0.03"/></proof>
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Raphael Rieu-Helft committed
315
  </goal>
316
  <goal name="VC toom22_mul.69" expl="precondition" proved="true">
317
  <proof prover="1"><result status="valid" time="0.13"/></proof>
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Raphael Rieu-Helft committed
318
  </goal>
319
  <goal name="VC toom22_mul.70" expl="precondition" proved="true">
320
  <proof prover="3"><result status="valid" time="0.03"/></proof>
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Raphael Rieu-Helft committed
321 322
  </goal>
  <goal name="VC toom22_mul.71" expl="postcondition" proved="true">
323
  <proof prover="5" timelimit="5" memlimit="2000"><result status="valid" time="0.93" steps="221"/></proof>
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Raphael Rieu-Helft committed
324 325
  </goal>
  <goal name="VC toom22_mul.72" expl="postcondition" proved="true">
326
  <proof prover="3"><result status="valid" time="0.02"/></proof>
MARCHE Claude's avatar
MARCHE Claude committed
327
  <transf name="split_vc" proved="true" >
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Raphael Rieu-Helft committed
328
  </transf>
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Raphael Rieu-Helft committed
329
  </goal>
330 331
  <goal name="VC toom22_mul.73" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.01"/></proof>
MARCHE Claude's avatar
MARCHE Claude committed
332
  <transf name="split_vc" proved="true" >
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Raphael Rieu-Helft committed
333
  </transf>
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Raphael Rieu-Helft committed
334
  </goal>
335
  <goal name="VC toom22_mul.74" expl="postcondition" proved="true">
336
  <proof prover="3"><result status="valid" time="0.01"/></proof>
MARCHE Claude's avatar
MARCHE Claude committed
337
  <transf name="split_vc" proved="true" >
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Raphael Rieu-Helft committed
338
  </transf>
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Raphael Rieu-Helft committed
339 340
  </goal>
  <goal name="VC toom22_mul.75" expl="precondition" proved="true">
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Raphael Rieu-Helft committed
341
  <proof prover="1"><result status="valid" time="0.59"/></proof>
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Raphael Rieu-Helft committed
342 343
  </goal>
  <goal name="VC toom22_mul.76" expl="precondition" proved="true">
344
  <proof prover="5"><result status="valid" time="0.52" steps="202"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
345 346
  </goal>
  <goal name="VC toom22_mul.77" expl="precondition" proved="true">
347
  <proof prover="5" timelimit="5" memlimit="2000"><result status="valid" time="0.54" steps="211"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
348 349
  </goal>
  <goal name="VC toom22_mul.78" expl="precondition" proved="true">
350
  <proof prover="3"><result status="valid" time="0.01"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
351
  </goal>
352
  <goal name="VC toom22_mul.79" expl="precondition" proved="true">
353
  <proof prover="3"><result status="valid" time="0.02"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
354 355
  </goal>
  <goal name="VC toom22_mul.80" expl="precondition" proved="true">
356
  <proof prover="5"><result status="valid" time="0.83" steps="193"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
357
  </goal>
358
  <goal name="VC toom22_mul.81" expl="integer overflow" proved="true">
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
359
  <proof prover="1"><result status="valid" time="0.22"/></proof>
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Raphael Rieu-Helft committed
360 361
  </goal>
  <goal name="VC toom22_mul.82" expl="precondition" proved="true">
362
  <proof prover="5"><result status="valid" time="0.56" steps="142"/></proof>
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Raphael Rieu-Helft committed
363
  </goal>
364
  <goal name="VC toom22_mul.83" expl="assertion" proved="true">
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Raphael Rieu-Helft committed
365 366 367 368
  <transf name="introduce_premises" proved="true" >
   <goal name="VC toom22_mul.83.0" expl="assertion" proved="true">
   <transf name="inline_goal" proved="true" >
    <goal name="VC toom22_mul.83.0.0" expl="assertion" proved="true">
369
    <proof prover="5"><result status="valid" time="1.16" steps="209"/></proof>
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Raphael Rieu-Helft committed
370 371 372 373
    </goal>
   </transf>
   </goal>
  </transf>
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Raphael Rieu-Helft committed
374
  </goal>
375
  <goal name="VC toom22_mul.84" expl="precondition" proved="true">
376
  <proof prover="3"><result status="valid" time="0.04"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
377
  </goal>
378
  <goal name="VC toom22_mul.85" expl="precondition" proved="true">
379
  <proof prover="3"><result status="valid" time="0.02"/></proof>
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Raphael Rieu-Helft committed
380
  </goal>
381 382 383
  <goal name="VC toom22_mul.86" expl="postcondition" proved="true">
  <transf name="right" proved="true" >
   <goal name="VC toom22_mul.86.0" expl="VC for toom22_mul" proved="true">
MARCHE Claude's avatar
MARCHE Claude committed
384
   <transf name="split_vc" proved="true" >
385
    <goal name="VC toom22_mul.86.0.0" expl="VC for toom22_mul" proved="true">
386
    <proof prover="5" timelimit="5" memlimit="2000"><result status="valid" time="2.78" steps="152"/></proof>
387 388 389 390
    </goal>
   </transf>
   </goal>
  </transf>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
391 392
  </goal>
  <goal name="VC toom22_mul.87" expl="postcondition" proved="true">
393
  <proof prover="3"><result status="valid" time="0.01"/></proof>
MARCHE Claude's avatar
MARCHE Claude committed
394
  <transf name="split_vc" proved="true" >
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
395
  </transf>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
396 397
  </goal>
  <goal name="VC toom22_mul.88" expl="postcondition" proved="true">
398
  <proof prover="3"><result status="valid" time="0.02"/></proof>
MARCHE Claude's avatar
MARCHE Claude committed
399
  <transf name="split_vc" proved="true" >
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Raphael Rieu-Helft committed
400
  </transf>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
401 402 403
  </goal>
  <goal name="VC toom22_mul.89" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.01"/></proof>
MARCHE Claude's avatar
MARCHE Claude committed
404
  <transf name="split_vc" proved="true" >
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
405
  </transf>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
406 407
  </goal>
  <goal name="VC toom22_mul.90" expl="precondition" proved="true">
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
408
  <proof prover="3"><result status="valid" time="0.41"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
409 410
  </goal>
  <goal name="VC toom22_mul.91" expl="precondition" proved="true">
411
  <proof prover="5"><result status="valid" time="0.68" steps="204"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
412 413 414 415 416
  </goal>
  <goal name="VC toom22_mul.92" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.24"/></proof>
  </goal>
  <goal name="VC toom22_mul.93" expl="precondition" proved="true">
417
  <proof prover="5"><result status="valid" time="0.67" steps="219"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
418 419
  </goal>
  <goal name="VC toom22_mul.94" expl="precondition" proved="true">
420
  <proof prover="3"><result status="valid" time="0.07"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
421 422
  </goal>
  <goal name="VC toom22_mul.95" expl="precondition" proved="true">
423
  <proof prover="1"><result status="valid" time="0.16"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
424 425
  </goal>
  <goal name="VC toom22_mul.96" expl="precondition" proved="true">
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
426
  <proof prover="3"><result status="valid" time="0.04"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
427 428
  </goal>
  <goal name="VC toom22_mul.97" expl="precondition" proved="true">
429
  <proof prover="3"><result status="valid" time="0.04"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
430 431
  </goal>
  <goal name="VC toom22_mul.98" expl="precondition" proved="true">
432
  <proof prover="3"><result status="valid" time="0.02"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
433 434
  </goal>
  <goal name="VC toom22_mul.99" expl="precondition" proved="true">
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
435
  <proof prover="3"><result status="valid" time="0.02"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
436 437
  </goal>
  <goal name="VC toom22_mul.100" expl="postcondition" proved="true">
438
  <proof prover="1"><result status="valid" time="0.15"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
439 440
  </goal>
  <goal name="VC toom22_mul.101" expl="postcondition" proved="true">
441
  <proof prover="3"><result status="valid" time="0.01"/></proof>
MARCHE Claude's avatar
MARCHE Claude committed
442
  <transf name="split_vc" proved="true" >
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Raphael Rieu-Helft committed
443
  </transf>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
444
  </goal>
445
  <goal name="VC toom22_mul.102" expl="postcondition" proved="true">
446
  <proof prover="3"><result status="valid" time="0.02"/></proof>
MARCHE Claude's avatar
MARCHE Claude committed
447
  <transf name="split_vc" proved="true" >
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
448
  </transf>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
449
  </goal>
450
  <goal name="VC toom22_mul.103" expl="postcondition" proved="true">
451
  <proof prover="3"><result status="valid" time="0.01"/></proof>
MARCHE Claude's avatar
MARCHE Claude committed
452
  <transf name="split_vc" proved="true" >
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Raphael Rieu-Helft committed
453
  </transf>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
454
  </goal>
455
  <goal name="VC toom22_mul.104" expl="postcondition" proved="true">
456
  <proof prover="3"><result status="valid" time="0.02"/></proof>
MARCHE Claude's avatar
MARCHE Claude committed
457
  <transf name="split_vc" proved="true" >
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Raphael Rieu-Helft committed
458
  </transf>
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Raphael Rieu-Helft committed
459
  </goal>
460
  <goal name="VC toom22_mul.105" expl="precondition" proved="true">
461
  <proof prover="1" timelimit="5" memlimit="2000"><result status="valid" time="1.05"/></proof>
462 463
  </goal>
  <goal name="VC toom22_mul.106" expl="precondition" proved="true">
464
  <proof prover="5" timelimit="5" memlimit="2000"><result status="valid" time="0.66" steps="205"/></proof>
465
  </goal>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
466
  <goal name="VC toom22_mul.107" expl="precondition" proved="true">
467
  <proof prover="5"><result status="valid" time="0.62" steps="214"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
468 469
  </goal>
  <goal name="VC toom22_mul.108" expl="precondition" proved="true">
470
  <proof prover="3"><result status="valid" time="0.02"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
471 472
  </goal>
  <goal name="VC toom22_mul.109" expl="precondition" proved="true">
473
  <proof prover="3"><result status="valid" time="0.02"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
474 475
  </goal>
  <goal name="VC toom22_mul.110" expl="precondition" proved="true">
476
  <proof prover="3"><result status="valid" time="0.02"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
477 478
  </goal>
  <goal name="VC toom22_mul.111" expl="precondition" proved="true">
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
479
  <proof prover="3"><result status="valid" time="0.02"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
480
  </goal>
481
  <goal name="VC toom22_mul.112" expl="postcondition" proved="true">
482
  <proof prover="5"><result status="valid" time="0.60" steps="144"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
483
  </goal>
484
  <goal name="VC toom22_mul.113" expl="postcondition" proved="true">
485
  <proof prover="3"><result status="valid" time="0.01"/></proof>
MARCHE Claude's avatar
MARCHE Claude committed
486
  <transf name="split_vc" proved="true" >
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
487
  </transf>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
488 489
  </goal>
  <goal name="VC toom22_mul.114" expl="postcondition" proved="true">
490
  <proof prover="3"><result status="valid" time="0.01"/></proof>
MARCHE Claude's avatar
MARCHE Claude committed
491
  <transf name="split_vc" proved="true" >
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Raphael Rieu-Helft committed
492
  </transf>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
493
  </goal>
494
  <goal name="VC toom22_mul.115" expl="postcondition" proved="true">
495
  <proof prover="3"><result status="valid" time="0.02"/></proof>
MARCHE Claude's avatar
MARCHE Claude committed
496
  <transf name="split_vc" proved="true" >
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
497
  </transf>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
498
  </goal>
499
  <goal name="VC toom22_mul.116" expl="postcondition" proved="true">
500
  <proof prover="3"><result status="valid" time="0.01"/></proof>
MARCHE Claude's avatar
MARCHE Claude committed
501
  <transf name="split_vc" proved="true" >
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Raphael Rieu-Helft committed
502
  </transf>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
503
  </goal>
504
  <goal name="VC toom22_mul.117" expl="precondition" proved="true">
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Raphael Rieu-Helft committed
505 506
  <proof prover="3"><result status="valid" time="0.02"/></proof>
  </goal>
507
  <goal name="VC toom22_mul.118" expl="integer overflow" proved="true">
508
  <proof prover="5"><result status="valid" time="0.70" steps="203"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
509
  </goal>
510
  <goal name="VC toom22_mul.119" expl="precondition" proved="true">
511
  <proof prover="5"><result status="valid" time="0.76" steps="227"/></proof>
512 513
  </goal>
  <goal name="VC toom22_mul.120" expl="precondition" proved="true">
514
  <proof prover="5"><result status="valid" time="0.81" steps="232"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
515 516
  </goal>
  <goal name="VC toom22_mul.121" expl="precondition" proved="true">
517
  <proof prover="1"><result status="valid" time="0.30"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
518
  </goal>
519
  <goal name="VC toom22_mul.122" expl="assertion" proved="true">
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
520
  <proof prover="3"><result status="valid" time="0.49"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
521 522
  </goal>
  <goal name="VC toom22_mul.123" expl="precondition" proved="true">
523
  <proof prover="3"><result status="valid" time="0.05"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
524
  </goal>
525
  <goal name="VC toom22_mul.124" expl="assertion" proved="true">
526
  <proof prover="5"><result status="valid" time="0.76" steps="216"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
527 528
  </goal>
  <goal name="VC toom22_mul.125" expl="precondition" proved="true">
529
  <proof prover="5" timelimit="5" memlimit="2000"><result status="valid" time="0.80" steps="238"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
530
  </goal>
531
  <goal name="VC toom22_mul.126" expl="precondition" proved="true">
532
  <proof prover="5"><result status="valid" time="0.74" steps="188"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
533 534
  </goal>
  <goal name="VC toom22_mul.127" expl="precondition" proved="true">
535
  <proof prover="5"><result status="valid" time="0.66" steps="233"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
536
  </goal>
537
  <goal name="VC toom22_mul.128" expl="precondition" proved="true">
538
  <proof prover="3"><result status="valid" time="0.02"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
539 540
  </goal>
  <goal name="VC toom22_mul.129" expl="precondition" proved="true">
541
  <proof prover="3"><result status="valid" time="0.03"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
542 543
  </goal>
  <goal name="VC toom22_mul.130" expl="precondition" proved="true">
544
  <proof prover="3"><result status="valid" time="0.01"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
545 546
  </goal>
  <goal name="VC toom22_mul.131" expl="precondition" proved="true">
547
  <proof prover="3"><result status="valid" time="0.02"/></proof>
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Raphael Rieu-Helft committed
548
  </goal>
549 550 551 552 553 554 555 556
  <goal name="VC toom22_mul.132" expl="assertion" proved="true">
  <transf name="case" proved="true" arg1="(j &lt; offset r)">
   <goal name="VC toom22_mul.132.0" expl="true case (assertion)" proved="true">
   <proof prover="0"><result status="valid" time="0.07"/></proof>
   </goal>
   <goal name="VC toom22_mul.132.1" expl="false case (assertion)" proved="true">
   <proof prover="0"><result status="valid" time="0.11"/></proof>
   </goal>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
557
  </transf>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
558 559
  </goal>
  <goal name="VC toom22_mul.133" expl="precondition" proved="true">
560
  <proof prover="5"><result status="valid" time="0.92" steps="163"/></proof>
Raphael Rieu-Helft's avatar
Raphael Rieu-Helft committed
561
  </goal>
562
  <goal name="VC toom22_mul.134" expl="integer overflow" proved="true">
563
  <proof prover="5"><result status="valid" time="0.98" steps="197"/></proof>
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  </goal>
  <goal name="VC toom22_mul.135" expl="precondition" proved="true">
  <transf name="introduce_premises" proved="true" >
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   <goal name="VC toom22_mul.135.0" expl="precondition" proved="true">
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   <transf name="inline_goal" proved="true" >
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    <goal name="VC toom22_mul.135.0.0" expl="precondition" proved="true">
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    <transf name="split_vc" proved="true" >
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     <goal name="VC toom22_mul.135.0.0.0" expl="VC for toom22_mul" proved="true">
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     <proof prover="3"><result status="valid" time="0.06"/></proof>
     </goal>
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     <goal name="VC toom22_mul.135.0.0.1" expl="VC for toom22_mul" proved="true">
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     <proof prover="3"><result status="valid" time="0.04"/></proof>
     </goal>
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     <goal name="VC toom22_mul.135.0.0.2" expl="VC for toom22_mul" proved="true">
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     <proof prover="3"><result status="valid" time="0.07"/></proof>
     </goal>
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     <goal name="VC toom22_mul.135.0.0.3" expl="VC for toom22_mul" proved="true">
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     <proof prover="3"><result status="valid" time="0.08"/></proof>
     </goal>
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     <goal name="VC toom22_mul.135.0.0.4" expl="VC for toom22_mul" proved="true">
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     <proof prover="3"><result status="valid" time="0.05"/></proof>
     </goal>
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     <goal name="VC toom22_mul.135.0.0.5" expl="VC for toom22_mul" proved="true">
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     <proof prover="5"><result status="valid" time="1.43" steps="234"/></proof>
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     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
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  <goal name="VC toom22_mul.136" expl="precondition" proved="true">
  <transf name="introduce_premises" proved="true" >
   <goal name="VC toom22_mul.136.0" expl="precondition" proved="true">
   <transf name="inline_goal" proved="true" >
    <goal name="VC toom22_mul.136.0.0" expl="precondition" proved="true">
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    <proof prover="5" timelimit="5" memlimit="2000"><result status="valid" time="1.88" steps="252"/></proof>
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    </goal>
   </transf>
   </goal>
  </transf>
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  </goal>
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  <goal name="VC toom22_mul.137" expl="assertion" proved="true">
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  <proof prover="3"><result status="valid" time="0.02"/></proof>
  </goal>
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  <goal name="VC toom22_mul.138" expl="assertion" proved="true">
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  <proof prover="3"><result status="valid" time="0.04"/></proof>
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MARCHE Claude committed
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  <transf name="split_vc" proved="true" >
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  </transf>
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  </goal>
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  <goal name="VC toom22_mul.139" expl="precondition" proved="true">
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  <proof prover="3"><result status="valid" time="0.03"/></proof>
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  </goal>
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  <goal name="VC toom22_mul.140" expl="assertion" proved="true">
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  <proof prover="0"><result status="valid" time="1.90"/></proof>
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  </goal>
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  <goal name="VC toom22_mul.141" expl="postcondition" proved="true">
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  <proof prover="1"><result status="valid" time="0.08"/></proof>
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  </goal>
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  <goal name="VC toom22_mul.142" expl="postcondition" proved="true">
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  <proof prover="3"><result status="valid" time="0.02"/></proof>
MARCHE Claude's avatar
MARCHE Claude committed
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  <transf name="split_vc" proved="true" >
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  </transf>
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  </goal>
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  <goal name="VC toom22_mul.143" expl="postcondition" proved="true">
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  <proof prover="3"><result status="valid" time="0.02"/></proof>
MARCHE Claude's avatar
MARCHE Claude committed
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  <transf name="split_vc" proved="true" >
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  </transf>
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  </goal>
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  <goal name="VC toom22_mul.144" expl="postcondition" proved="true">
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  <proof prover="3"><result status="valid" time="0.01"/></proof>
MARCHE Claude's avatar
MARCHE Claude committed
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  <transf name="split_vc" proved="true" >
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  </transf>