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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">
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<why3session shape_version="5">
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<prover id="0" name="Alt-Ergo" version="2.0.0" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="3" name="CVC4" version="1.5" timelimit="5" steplimit="0" memlimit="1000"/>
<file name="../finite_tarski.mlw" proved="true">
<theory name="Tarski_rec" proved="true">
 <goal name="VC least_fix_point" expl="VC for least_fix_point" proved="true">
 <proof prover="0"><result status="valid" time="0.10" steps="351"/></proof>
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 </goal>
</theory>
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<theory name="Tarski_while" proved="true">
 <goal name="VC least_fix_point" expl="VC for least_fix_point" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="VC least_fix_point.0" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.00" steps="3"/></proof>
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  </goal>
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  <goal name="VC least_fix_point.1" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.00" steps="5"/></proof>
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  </goal>
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  <goal name="VC least_fix_point.2" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="7"/></proof>
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  </goal>
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  <goal name="VC least_fix_point.3" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="7"/></proof>
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  </goal>
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  <goal name="VC least_fix_point.4" expl="loop variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="69"/></proof>
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  </goal>
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  <goal name="VC least_fix_point.5" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.02" steps="36"/></proof>
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  </goal>
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  <goal name="VC least_fix_point.6" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.02" steps="90"/></proof>
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  </goal>
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  <goal name="VC least_fix_point.7" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="20"/></proof>
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  </goal>
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  <goal name="VC least_fix_point.8" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="16"/></proof>
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  </goal>
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  <goal name="VC least_fix_point.9" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.04"/></proof>
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  </goal>
 </transf>
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 </goal>
</theory>
</file>
</why3session>