why3session.xml 11.9 KB
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<?xml version="1.0" encoding="UTF-8"?>
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<!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="1" name="Z3" version="4.4.1" timelimit="5" steplimit="0" memlimit="1000"/>
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<prover id="2" name="CVC4" version="1.5" timelimit="1" steplimit="0" memlimit="1000"/>
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<prover id="3" name="CVC4" version="1.6" timelimit="1" steplimit="0" memlimit="1000"/>
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<file name="../vstte12_combinators.mlw" proved="true">
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<theory name="Combinators" proved="true">
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 <goal name="VC eq" expl="VC for eq" proved="true">
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 <proof prover="0"><result status="valid" time="0.01" steps="51"/></proof>
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 </goal>
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 <goal name="VC subst_c" expl="VC for subst_c" proved="true">
 <proof prover="0"><result status="valid" time="0.01" steps="78"/></proof>
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 </goal>
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 <goal name="subst_c_commute" proved="true">
 <transf name="induction_ty_lex" proved="true" >
  <goal name="subst_c_commute.0" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="46"/></proof>
  </goal>
 </transf>
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 </goal>
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 <goal name="VC reduction" expl="VC for reduction" proved="true">
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 <transf name="split_goal_right" proved="true" >
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  <goal name="VC reduction.0" expl="postcondition" proved="true">
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  <proof prover="0"><result status="valid" time="0.01" steps="15"/></proof>
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  </goal>
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  <goal name="VC reduction.1" expl="postcondition" proved="true">
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  <proof prover="0"><result status="valid" time="0.01" steps="15"/></proof>
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  </goal>
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  <goal name="VC reduction.2" expl="postcondition" proved="true">
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  <proof prover="0"><result status="valid" time="0.00" steps="15"/></proof>
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  </goal>
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  <goal name="VC reduction.3" expl="postcondition" proved="true">
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  <proof prover="0"><result status="valid" time="0.01" steps="15"/></proof>
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  </goal>
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  <goal name="VC reduction.4" expl="precondition" 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 reduction.5" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="19"/></proof>
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  </goal>
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  <goal name="VC reduction.6" expl="postcondition" proved="true">
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  <proof prover="0"><result status="valid" time="0.23" steps="732"/></proof>
  </goal>
  <goal name="VC reduction.7" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="22"/></proof>
  </goal>
  <goal name="VC reduction.8" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.22" steps="724"/></proof>
  </goal>
  <goal name="VC reduction.9" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="22"/></proof>
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  </goal>
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  <goal name="VC reduction.10" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="674"/></proof>
  </goal>
  <goal name="VC reduction.11" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.02" steps="89"/></proof>
  </goal>
  <goal name="VC reduction.12" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.90"/></proof>
  </goal>
  <goal name="VC reduction.13" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="73"/></proof>
  </goal>
  <goal name="VC reduction.14" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="21"/></proof>
  </goal>
  <goal name="VC reduction.15" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.20"/></proof>
  </goal>
  <goal name="VC reduction.16" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="24"/></proof>
  </goal>
  <goal name="VC reduction.17" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="267"/></proof>
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  </goal>
 </transf>
 </goal>
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 <goal name="VC test_SKK" expl="VC for test_SKK" proved="true">
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 <proof prover="0"><result status="valid" time="0.00" steps="12"/></proof>
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 </goal>
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 <goal name="VC reduce_step" expl="VC for reduce_step" proved="true">
 <proof prover="0"><result status="valid" time="0.08" steps="742"/></proof>
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 </goal>
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 <goal name="VC value_in_context" expl="VC for value_in_context" proved="true">
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 <transf name="split_vc" proved="true" >
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  <goal name="VC value_in_context.0" expl="variant decrease" proved="true">
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  <proof prover="2" timelimit="5"><result status="valid" time="0.02"/></proof>
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  </goal>
  <goal name="VC value_in_context.1" expl="precondition" proved="true">
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  <transf name="destruct_term_subst" proved="true" arg1="(subst x1 t)">
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   <goal name="VC value_in_context.1.0" expl="precondition" proved="true">
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   <proof prover="3"><result status="valid" time="0.03"/></proof>
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   </goal>
   <goal name="VC value_in_context.1.1" 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 value_in_context.1.2" expl="precondition" proved="true">
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   <transf name="destruct_term_subst" proved="true" arg1="x2">
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    <goal name="VC value_in_context.1.2.0" 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 value_in_context.1.2.1" 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 value_in_context.1.2.2" expl="precondition" proved="true">
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    <proof prover="3"><result status="valid" time="0.04"/></proof>
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    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="VC value_in_context.2" expl="variant decrease" proved="true">
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  <proof prover="2" timelimit="5"><result status="valid" time="0.03"/></proof>
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  </goal>
  <goal name="VC value_in_context.3" expl="precondition" proved="true">
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  <transf name="destruct_term_subst" proved="true" arg1="(subst x t)">
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   <goal name="VC value_in_context.3.0" expl="precondition" proved="true">
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   <proof prover="3"><result status="valid" time="0.03"/></proof>
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   </goal>
   <goal name="VC value_in_context.3.1" 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 value_in_context.3.2" expl="precondition" proved="true">
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   <transf name="destruct_term_subst" proved="true" arg1="x3">
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    <goal name="VC value_in_context.3.2.0" 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 value_in_context.3.2.1" 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 value_in_context.3.2.2" expl="precondition" proved="true">
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    <transf name="destruct_term_subst" proved="true" arg1="x4">
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     <goal name="VC value_in_context.3.2.2.0" 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 value_in_context.3.2.2.1" 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 value_in_context.3.2.2.2" expl="precondition" proved="true">
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     <proof prover="3"><result status="valid" time="0.04"/></proof>
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     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="VC value_in_context.4" expl="postcondition" proved="true">
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  <transf name="destruct_term_subst" proved="true" arg1="c">
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   <goal name="VC value_in_context.4.0" expl="postcondition" proved="true">
   <proof prover="2"><result status="valid" time="0.02"/></proof>
   </goal>
   <goal name="VC value_in_context.4.1" expl="postcondition" proved="true">
   <proof prover="2"><result status="valid" time="0.01"/></proof>
   </goal>
   <goal name="VC value_in_context.4.2" expl="postcondition" proved="true">
   <proof prover="2"><result status="valid" time="0.01"/></proof>
   </goal>
  </transf>
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  </goal>
 </transf>
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 </goal>
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 <goal name="VC irreducible_is_value" expl="VC for irreducible_is_value" proved="true">
 <proof prover="0"><result status="valid" time="0.01" steps="719"/></proof>
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 </goal>
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 <goal name="VC reduction2" expl="VC for reduction2" proved="true">
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 <transf name="split_goal_right" proved="true" >
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  <goal name="VC reduction2.0" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.02" steps="58"/></proof>
  </goal>
  <goal name="VC reduction2.1" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.02" steps="40"/></proof>
  </goal>
  <goal name="VC reduction2.2" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.03" steps="76"/></proof>
  </goal>
  <goal name="VC reduction2.3" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.03" steps="85"/></proof>
  </goal>
  <goal name="VC reduction2.4" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.20" steps="915"/></proof>
  </goal>
  <goal name="VC reduction2.5" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="156"/></proof>
  </goal>
  <goal name="VC reduction2.6" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.01" steps="23"/></proof>
  </goal>
  <goal name="VC reduction2.7" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="670"/></proof>
  </goal>
  <goal name="VC reduction2.8" expl="postcondition" proved="true">
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  <transf name="split_goal_right" proved="true" >
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   <goal name="VC reduction2.8.0" expl="postcondition" proved="true">
   <proof prover="0"><result status="valid" time="0.01" steps="20"/></proof>
   </goal>
   <goal name="VC reduction2.8.1" expl="postcondition" proved="true">
   <proof prover="1"><result status="valid" time="0.42"/></proof>
   </goal>
  </transf>
  </goal>
 </transf>
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 </goal>
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 <goal name="VC ks" expl="VC for ks" proved="true">
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 <proof prover="0"><result status="valid" time="0.01" steps="32"/></proof>
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 </goal>
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 <goal name="VC reduction3" expl="VC for reduction3" proved="true">
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 <transf name="split_goal_right" proved="true" >
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  <goal name="VC reduction3.0" expl="variant decrease" proved="true">
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  <proof prover="0"><result status="valid" time="0.01" steps="18"/></proof>
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  </goal>
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  <goal name="VC reduction3.1" expl="precondition" proved="true">
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  <proof prover="0"><result status="valid" time="0.02" steps="74"/></proof>
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  </goal>
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  <goal name="VC reduction3.2" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.02" steps="26"/></proof>
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  </goal>
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  <goal name="VC reduction3.3" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.02"/></proof>
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  </goal>
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  <goal name="VC reduction3.4" expl="unreachable point" proved="true">
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  <proof prover="0"><result status="valid" time="0.07" steps="603"/></proof>
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  </goal>
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  <goal name="VC reduction3.5" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.03" steps="149"/></proof>
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  </goal>
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  <goal name="VC reduction3.6" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.02" steps="27"/></proof>
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  </goal>
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  <goal name="VC reduction3.7" expl="postcondition" proved="true">
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  <proof prover="1"><result status="valid" time="0.24"/></proof>
  </goal>
  <goal name="VC reduction3.8" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="612"/></proof>
  </goal>
  <goal name="VC reduction3.9" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="344"/></proof>
  </goal>
  <goal name="VC reduction3.10" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.03"/></proof>
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  </goal>
 </transf>
 </goal>
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 <goal name="VC ks_even_odd" expl="VC for ks_even_odd" proved="true">
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 <proof prover="0"><result status="valid" time="0.09" steps="258"/></proof>
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 </goal>
</theory>
</file>
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</why3session>