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<?xml version="1.0" encoding="UTF-8"?>
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<!DOCTYPE why3session PUBLIC "-//Why3//proof session v2//EN" "http://why3.lri.fr/why3session.dtd">
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<why3session shape_version="2">
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 <prover
  id="0"
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  name="Alt-Ergo"
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  version="0.93.1"/>
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 <prover
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  id="1"
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  name="Alt-Ergo"
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  version="0.94"/>
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 <prover
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  id="2"
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  name="Alt-Ergo"
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  version="0.95"/>
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 <prover
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  id="3"
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  name="CVC3"
  version="2.2"/>
 <prover
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  id="4"
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  name="CVC3"
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  version="2.4.1"/>
 <prover
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  id="5"
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  name="Coq"
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  version="8.3pl4"/>
 <prover
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  id="6"
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  name="Z3"
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  version="3.2"/>
 <prover
  id="7"
  name="Z3"
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  version="4.2"/>
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 <file
  name="../blocking_semantics3.mlw"
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  verified="false"
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  expanded="true">
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  <theory
   name="ImpExpr"
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   locfile="../blocking_semantics3.mlw"
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   loclnum="6" loccnumb="7" loccnume="14"
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   verified="false"
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   expanded="true">
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   <goal
    name="mident_decide"
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    locfile="../blocking_semantics3.mlw"
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    loclnum="27" loccnumb="6" loccnume="19"
    sum="3a4e4f693b29856f7dd39526995c945c"
    proved="true"
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    expanded="false"
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    shape="ainfix =V0V1NOainfix =V0V1F">
    <proof
     prover="0"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.01"/>
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    </proof>
   </goal>
   <goal
    name="ident_decide"
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    locfile="../blocking_semantics3.mlw"
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    loclnum="33" loccnumb="6" loccnume="18"
    sum="4a10737e7eb58d9b7d7c4d6da169d5f0"
    proved="true"
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    expanded="false"
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    shape="ainfix =V0V1NOainfix =V0V1F">
    <proof
     prover="0"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
   </goal>
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   <goal
    name="decide_is_skip"
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    locfile="../blocking_semantics3.mlw"
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    loclnum="86" loccnumb="6" loccnume="20"
    sum="11e1ece3e1463bf882e418e1abf094c3"
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    proved="true"
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    expanded="false"
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    shape="ainfix =V0aSskipNOainfix =V0aSskipF">
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    <proof
     prover="1"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.02"/>
    </proof>
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    <proof
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     prover="2"
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     timelimit="3"
     memlimit="1000"
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     obsolete="false"
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     archived="false">
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     <result status="valid" time="0.02"/>
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    </proof>
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   </goal>
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   <goal
    name="get_stack_eq"
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    locfile="../blocking_semantics3.mlw"
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    loclnum="214" loccnumb="6" loccnume="18"
    sum="4c19e9bc7a45eb535cad7481e3cb8e46"
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    proved="true"
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    expanded="false"
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    shape="ainfix =aget_stackV0aConsaTuple2V0V1V2V1F">
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    <proof
     prover="1"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.02"/>
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    </proof>
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    <proof
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     prover="2"
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     timelimit="3"
     memlimit="1000"
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     obsolete="false"
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     archived="false">
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     <result status="valid" time="0.02"/>
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    </proof>
    <proof
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     prover="4"
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     timelimit="3"
     memlimit="1000"
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     obsolete="false"
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     archived="false">
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     <result status="valid" time="0.05"/>
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    </proof>
   </goal>
   <goal
    name="get_stack_neq"
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    locfile="../blocking_semantics3.mlw"
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    loclnum="218" loccnumb="6" loccnume="19"
    sum="f387cca906e00681ef11cc75a10186a4"
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    proved="true"
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    expanded="false"
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    shape="ainfix =aget_stackV1aConsaTuple2V0V2V3aget_stackV1V3Iainfix =V0V1NF">
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    <proof
     prover="1"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.02"/>
    </proof>
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    <proof
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     prover="2"
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     timelimit="3"
     memlimit="1000"
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     obsolete="false"
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     archived="false">
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     <result status="valid" time="0.02"/>
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    </proof>
    <proof
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     prover="4"
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     timelimit="3"
     memlimit="1000"
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     obsolete="false"
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     archived="false">
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     <result status="valid" time="0.04"/>
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    </proof>
   </goal>
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   <goal
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    name="eval_type_term"
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    locfile="../blocking_semantics3.mlw"
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    loclnum="264" loccnumb="6" loccnume="20"
    sum="76ea8be46deee4222832cda199248a79"
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    proved="true"
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    expanded="false"
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    shape="aexiste_compatibleV5aeval_termV1V2V0Iatype_termV3V4V0V5Iacompatible_envV1V3V2V4F">
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    <transf
     name="induction_ty_lex"
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     proved="true"
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     expanded="false">
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     <goal
      name="eval_type_term.1"
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      locfile="../blocking_semantics3.mlw"
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      loclnum="264" loccnumb="6" loccnume="20"
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      expl="1."
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      sum="bba991d886c57e186642160321158986"
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      proved="true"
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      expanded="false"
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      shape="CV0aTvalueVaexiste_compatibleV6aeval_termV2V3V0Iatype_termV4V5V0V6Iacompatible_envV2V4V3V5FaTvarVaexiste_compatibleV12aeval_termV8V9V0Iatype_termV10V11V0V12Iacompatible_envV8V10V9V11FaTderefVaexiste_compatibleV18aeval_termV14V15V0Iatype_termV16V17V0V18Iacompatible_envV14V16V15V17FaTbinVVVaexiste_compatibleV26aeval_termV22V23V0Iatype_termV24V25V0V26Iacompatible_envV22V24V23V25FIaexiste_compatibleV31aeval_termV27V28V19Iatype_termV29V30V19V31Iacompatible_envV27V29V28V30FIaexiste_compatibleV36aeval_termV32V33V21Iatype_termV34V35V21V36Iacompatible_envV32V34V33V35FF">
      <transf
       name="split_goal_wp"
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       proved="true"
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       expanded="false">
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       <goal
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        name="eval_type_term.1.1"
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        locfile="../blocking_semantics3.mlw"
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        loclnum="264" loccnumb="6" loccnume="20"
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        expl="1."
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        sum="4467e46389e096286c18e1f825f9307d"
        proved="true"
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        expanded="false"
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        shape="CV0aTvalueVaexiste_compatibleV6aeval_termV2V3V0Iatype_termV4V5V0V6Iacompatible_envV2V4V3V5FaTvarVtaTderefVtaTbinVVVtF">
        <proof
         prover="3"
         timelimit="5"
         memlimit="1000"
         obsolete="false"
         archived="false">
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         <result status="valid" time="0.61"/>
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        </proof>
       </goal>
       <goal
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        name="eval_type_term.1.2"
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        locfile="../blocking_semantics3.mlw"
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        loclnum="264" loccnumb="6" loccnume="20"
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        expl="2."
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        sum="e5c5191bcdc191479bfbf53789a435b2"
        proved="true"
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        expanded="false"
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        shape="CV0aTvalueVtaTvarVaexiste_compatibleV7aeval_termV3V4V0Iatype_termV5V6V0V7Iacompatible_envV3V5V4V6FaTderefVtaTbinVVVtF">
        <proof
         prover="0"
         timelimit="5"
         memlimit="1000"
         obsolete="false"
         archived="false">
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         <result status="valid" time="0.35"/>
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        </proof>
       </goal>
       <goal
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        name="eval_type_term.1.3"
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        locfile="../blocking_semantics3.mlw"
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        loclnum="264" loccnumb="6" loccnume="20"
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        expl="3."
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        sum="0ae8e0902349e74d71458947b8d63dc5"
        proved="true"
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        expanded="false"
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        shape="CV0aTvalueVtaTvarVtaTderefVaexiste_compatibleV8aeval_termV4V5V0Iatype_termV6V7V0V8Iacompatible_envV4V6V5V7FaTbinVVVtF">
        <proof
         prover="3"
         timelimit="5"
         memlimit="1000"
         obsolete="false"
         archived="false">
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         <result status="valid" time="1.49"/>
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        </proof>
       </goal>
       <goal
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        name="eval_type_term.1.4"
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        locfile="../blocking_semantics3.mlw"
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        loclnum="264" loccnumb="6" loccnume="20"
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        expl="4."
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        sum="37b6489786ed255090d432e89d3fdf34"
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        proved="true"
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        expanded="false"
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        shape="CV0aTvalueVtaTvarVtaTderefVtaTbinVVVaexiste_compatibleV11aeval_termV7V8V0Iatype_termV9V10V0V11Iacompatible_envV7V9V8V10FIaexiste_compatibleV16aeval_termV12V13V4Iatype_termV14V15V4V16Iacompatible_envV12V14V13V15FIaexiste_compatibleV21aeval_termV17V18V6Iatype_termV19V20V6V21Iacompatible_envV17V19V18V20FF">
        <proof
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         prover="5"
         timelimit="7"
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         memlimit="1000"
         edited="blocking_semantics3_ImpExpr_eval_type_term_1.v"
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         obsolete="false"
         archived="false">
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         <result status="valid" time="3.63"/>
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        </proof>
       </goal>
      </transf>
     </goal>
    </transf>
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   </goal>
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   <goal
    name="fresh_in_binop"
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    locfile="../blocking_semantics3.mlw"
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    loclnum="311" loccnumb="6" loccnume="20"
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    sum="66610bf26e4c7a0657d4558044b04c60"
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    proved="true"
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    expanded="false"
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    shape="afresh_in_termV3V1Aafresh_in_termV3V0Iafresh_in_termV3amk_tbinV0V2V1F">
    <proof
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     prover="0"
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     timelimit="5"
     memlimit="1000"
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     obsolete="false"
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     archived="false">
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     <result status="valid" time="0.05"/>
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    </proof>
    <proof
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     prover="1"
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     timelimit="5"
     memlimit="1000"
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     obsolete="false"
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     archived="false">
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     <result status="valid" time="0.03"/>
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    </proof>
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   </goal>
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   <goal
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    name="subst_fresh_term"
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    locfile="../blocking_semantics3.mlw"
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    loclnum="352" loccnumb="6" loccnume="22"
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    sum="ed50df6c5ca9b53514db68793846904b"
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    proved="true"
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    expanded="false"
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    shape="ainfix =asubst_termV0V1V2V0Iafresh_in_termV1V0F">
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    <transf
     name="induction_ty_lex"
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     proved="true"
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     expanded="false">
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     <goal
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      name="subst_fresh_term.1"
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      locfile="../blocking_semantics3.mlw"
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      loclnum="352" loccnumb="6" loccnume="22"
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      expl="1."
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      sum="3a5accbcf9e2a6e389c613eecd660919"
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      proved="true"
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      expanded="false"
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      shape="CV0aTvalueVainfix =asubst_termV0V2V3V0Iafresh_in_termV2V0FaTvarVainfix =asubst_termV0V5V6V0Iafresh_in_termV5V0FaTderefVainfix =asubst_termV0V8V9V0Iafresh_in_termV8V0FaTbinVVVainfix =asubst_termV0V13V14V0Iafresh_in_termV13V0FIainfix =asubst_termV10V15V16V10Iafresh_in_termV15V10FIainfix =asubst_termV12V17V18V12Iafresh_in_termV17V12FF">
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      <transf
       name="split_goal_wp"
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       proved="true"
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       expanded="false">
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       <goal
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        name="subst_fresh_term.1.1"
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        locfile="../blocking_semantics3.mlw"
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        loclnum="352" loccnumb="6" loccnume="22"
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        expl="1."
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        sum="78699c7674056949d93afa9a1d0e5214"
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        proved="true"
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        expanded="false"
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        shape="CV0aTvalueVainfix =asubst_termV0V2V3V0Iafresh_in_termV2V0FaTvarVtaTderefVtaTbinVVVtF">
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        <proof
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         prover="0"
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         timelimit="5"
         memlimit="1000"
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         obsolete="false"
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         archived="false">
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         <result status="valid" time="0.03"/>
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        </proof>
       </goal>
       <goal
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        name="subst_fresh_term.1.2"
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        locfile="../blocking_semantics3.mlw"
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        loclnum="352" loccnumb="6" loccnume="22"
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        expl="2."
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        sum="6a3b9d95859099bd77072ad99ddd1b3d"
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        proved="true"
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        expanded="false"
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        shape="CV0aTvalueVtaTvarVainfix =asubst_termV0V3V4V0Iafresh_in_termV3V0FaTderefVtaTbinVVVtF">
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        <proof
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         prover="0"
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         timelimit="5"
         memlimit="1000"
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         obsolete="false"
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         archived="false">
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         <result status="valid" time="0.04"/>
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        </proof>
       </goal>
       <goal
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        name="subst_fresh_term.1.3"
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        locfile="../blocking_semantics3.mlw"
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        loclnum="352" loccnumb="6" loccnume="22"
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        expl="3."
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        sum="a1a51b05011742be60e4f13833197d37"
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        proved="true"
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        expanded="false"
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        shape="CV0aTvalueVtaTvarVtaTderefVainfix =asubst_termV0V4V5V0Iafresh_in_termV4V0FaTbinVVVtF">
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        <proof
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         prover="0"
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         timelimit="5"
         memlimit="1000"
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         obsolete="false"
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         archived="false">
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         <result status="valid" time="0.03"/>
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        </proof>
       </goal>
       <goal
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        name="subst_fresh_term.1.4"
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        locfile="../blocking_semantics3.mlw"
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        loclnum="352" loccnumb="6" loccnume="22"
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        expl="4."
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        sum="6c45067d9be4c75199c0352a772e7f65"
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        proved="true"
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        expanded="false"
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        shape="CV0aTvalueVtaTvarVtaTderefVtaTbinVVVainfix =asubst_termV0V7V8V0Iafresh_in_termV7V0FIainfix =asubst_termV4V9V10V4Iafresh_in_termV9V4FIainfix =asubst_termV6V11V12V6Iafresh_in_termV11V6FF">
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        <proof
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         prover="0"
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         timelimit="5"
         memlimit="1000"
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         obsolete="false"
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         archived="false">
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Asma Tafat-Bouzid committed
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         <result status="valid" time="0.04"/>
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        </proof>
       </goal>
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      </transf>
     </goal>
    </transf>
   </goal>
   <goal
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    name="subst_fresh"
401
    locfile="../blocking_semantics3.mlw"
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    loclnum="356" loccnumb="6" loccnume="17"
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Asma Tafat-Bouzid committed
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    sum="ff5c300d5782db169258772648d9f18b"
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Asma Tafat-Bouzid committed
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    proved="true"
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    expanded="false"
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    shape="ainfix =asubstV0V1V2V0Iafresh_in_fmlaV1V0F">
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407 408
    <transf
     name="induction_ty_lex"
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     proved="true"
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     expanded="false">
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     <goal
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      name="subst_fresh.1"
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      locfile="../blocking_semantics3.mlw"
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      loclnum="356" loccnumb="6" loccnume="17"
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      expl="1."
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      sum="969a65f77eaf8d124db43e8544479c3d"
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      proved="true"
418
      expanded="false"
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      shape="CV0aFtermVainfix =asubstV0V2V3V0Iafresh_in_fmlaV2V0FaFandVVainfix =asubstV0V6V7V0Iafresh_in_fmlaV6V0FIainfix =asubstV4V8V9V4Iafresh_in_fmlaV8V4FIainfix =asubstV5V10V11V5Iafresh_in_fmlaV10V5FaFnotVainfix =asubstV0V13V14V0Iafresh_in_fmlaV13V0FIainfix =asubstV12V15V16V12Iafresh_in_fmlaV15V12FaFimpliesVVainfix =asubstV0V19V20V0Iafresh_in_fmlaV19V0FIainfix =asubstV17V21V22V17Iafresh_in_fmlaV21V17FIainfix =asubstV18V23V24V18Iafresh_in_fmlaV23V18FaFletVVVainfix =asubstV0V28V29V0Iafresh_in_fmlaV28V0FIainfix =asubstV27V30V31V27Iafresh_in_fmlaV30V27FaFforallVVVainfix =asubstV0V35V36V0Iafresh_in_fmlaV35V0FIainfix =asubstV34V37V38V34Iafresh_in_fmlaV37V34FF">
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      <transf
       name="split_goal_wp"
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       proved="true"
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       expanded="false">
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       <goal
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        name="subst_fresh.1.1"
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        locfile="../blocking_semantics3.mlw"
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        loclnum="356" loccnumb="6" loccnume="17"
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        expl="1."
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        sum="854b9e39db10ec24546f72677ea0780f"
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        proved="true"
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        expanded="false"
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        shape="CV0aFtermVainfix =asubstV0V2V3V0Iafresh_in_fmlaV2V0FaFandVVtaFnotVtaFimpliesVVtaFletVVVtaFforallVVVtF">
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        <proof
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         prover="7"
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         timelimit="5"
         memlimit="1000"
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         obsolete="false"
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         archived="false">
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MARCHE Claude committed
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         <result status="valid" time="0.08"/>
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        </proof>
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       </goal>
       <goal
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        name="subst_fresh.1.2"
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        locfile="../blocking_semantics3.mlw"
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        loclnum="356" loccnumb="6" loccnume="17"
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        expl="2."
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        sum="0054ac44cfa82e6d88608a9d6eb5f224"
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        proved="true"
449
        expanded="false"
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Asma Tafat-Bouzid committed
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        shape="CV0aFtermVtaFandVVainfix =asubstV0V4V5V0Iafresh_in_fmlaV4V0FIainfix =asubstV2V6V7V2Iafresh_in_fmlaV6V2FIainfix =asubstV3V8V9V3Iafresh_in_fmlaV8V3FaFnotVtaFimpliesVVtaFletVVVtaFforallVVVtF">
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        <proof
         prover="0"
         timelimit="5"
         memlimit="1000"
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         obsolete="false"
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Asma Tafat-Bouzid committed
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         archived="false">
MARCHE Claude's avatar
MARCHE Claude committed
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         <result status="valid" time="0.04"/>
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        </proof>
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        <proof
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         prover="1"
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         timelimit="5"
         memlimit="1000"
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         obsolete="false"
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         archived="false">
MARCHE Claude's avatar
MARCHE Claude committed
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         <result status="valid" time="0.02"/>
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Asma Tafat-Bouzid committed
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        </proof>
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       </goal>
       <goal
469
        name="subst_fresh.1.3"
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        locfile="../blocking_semantics3.mlw"
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        loclnum="356" loccnumb="6" loccnume="17"
472
        expl="3."
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        sum="22914b34b487dcb9131fff378df50f11"
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        proved="true"
475
        expanded="false"
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Asma Tafat-Bouzid committed
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        shape="CV0aFtermVtaFandVVtaFnotVainfix =asubstV0V5V6V0Iafresh_in_fmlaV5V0FIainfix =asubstV4V7V8V4Iafresh_in_fmlaV7V4FaFimpliesVVtaFletVVVtaFforallVVVtF">
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        <proof
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         prover="0"
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         timelimit="5"
         memlimit="1000"
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         obsolete="false"
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         archived="false">
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Asma Tafat-Bouzid committed
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         <result status="valid" time="0.04"/>
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        </proof>
        <proof
         prover="1"
         timelimit="5"
         memlimit="1000"
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         obsolete="false"
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         archived="false">
MARCHE Claude's avatar
MARCHE Claude committed
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         <result status="valid" time="0.03"/>
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        </proof>
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       </goal>
       <goal
495
        name="subst_fresh.1.4"
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        locfile="../blocking_semantics3.mlw"
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        loclnum="356" loccnumb="6" loccnume="17"
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        expl="4."
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        sum="f89a157856e5f26a4493f4a7c1a550ea"
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        proved="true"
501
        expanded="false"
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Asma Tafat-Bouzid committed
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        shape="CV0aFtermVtaFandVVtaFnotVtaFimpliesVVainfix =asubstV0V7V8V0Iafresh_in_fmlaV7V0FIainfix =asubstV5V9V10V5Iafresh_in_fmlaV9V5FIainfix =asubstV6V11V12V6Iafresh_in_fmlaV11V6FaFletVVVtaFforallVVVtF">
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        <proof
         prover="0"
         timelimit="5"
         memlimit="1000"
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         obsolete="false"
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Asma Tafat-Bouzid committed
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         archived="false">
MARCHE Claude's avatar
MARCHE Claude committed
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         <result status="valid" time="0.04"/>
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        </proof>
        <proof
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         prover="1"
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         timelimit="5"
         memlimit="1000"
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         obsolete="false"
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         archived="false">
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         <result status="valid" time="0.03"/>
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Asma Tafat-Bouzid committed
518
        </proof>
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       </goal>
       <goal
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        name="subst_fresh.1.5"
522
        locfile="../blocking_semantics3.mlw"
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        loclnum="356" loccnumb="6" loccnume="17"
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        expl="5."
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        sum="72c85fd450ed467397c9c673b3464f68"
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        proved="true"
527
        expanded="false"
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Asma Tafat-Bouzid committed
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        shape="CV0aFtermVtaFandVVtaFnotVtaFimpliesVVtaFletVVVainfix =asubstV0V10V11V0Iafresh_in_fmlaV10V0FIainfix =asubstV9V12V13V9Iafresh_in_fmlaV12V9FaFforallVVVtF">
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        <proof
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         prover="5"
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         timelimit="5"
         memlimit="1000"
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         edited="blocking_semantics3_ImpExpr_subst_fresh_3.v"
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         obsolete="false"
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         archived="false">
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MARCHE Claude committed
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         <result status="valid" time="1.13"/>
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537 538 539
        </proof>
       </goal>
       <goal
540
        name="subst_fresh.1.6"
541
        locfile="../blocking_semantics3.mlw"
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        loclnum="356" loccnumb="6" loccnume="17"
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        expl="6."
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        sum="930c6b63ab6a38c8a9e4bb84e76e8473"
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        proved="true"
546
        expanded="false"
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Asma Tafat-Bouzid committed
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        shape="CV0aFtermVtaFandVVtaFnotVtaFimpliesVVtaFletVVVtaFforallVVVainfix =asubstV0V13V14V0Iafresh_in_fmlaV13V0FIainfix =asubstV12V15V16V12Iafresh_in_fmlaV15V12FF">
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548
        <proof
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         prover="0"
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         timelimit="5"
         memlimit="1000"
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Asma Tafat-Bouzid committed
552
         obsolete="false"
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Asma Tafat-Bouzid committed
553
         archived="false">
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Asma Tafat-Bouzid committed
554
         <result status="valid" time="0.04"/>
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555 556 557 558 559
        </proof>
        <proof
         prover="1"
         timelimit="5"
         memlimit="1000"
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         obsolete="false"
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Asma Tafat-Bouzid committed
561
         archived="false">
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Asma Tafat-Bouzid committed
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         <result status="valid" time="0.03"/>
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Asma Tafat-Bouzid committed
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        </proof>
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       </goal>
      </transf>
     </goal>
    </transf>
   </goal>
   <goal
    name="eval_msubst_term"
571
    locfile="../blocking_semantics3.mlw"
572
    loclnum="365" loccnumb="6" loccnume="22"
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    sum="384328ed04a6cc2479fa726d186637ab"
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Asma Tafat-Bouzid committed
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    proved="true"
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    expanded="false"
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    shape="ainfix =aeval_termV1V2amsubst_termV0V3V4aeval_termasetV1V3aget_stackV4V2V2V0Iafresh_in_termV4V0F">
    <transf
     name="induction_ty_lex"
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579
     proved="true"
580
     expanded="false">
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     <goal
      name="eval_msubst_term.1"
583
      locfile="../blocking_semantics3.mlw"
584
      loclnum="365" loccnumb="6" loccnume="22"
585
      expl="1."
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Asma Tafat-Bouzid committed
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      sum="7919aed5b96b37f48ffab66296238318"
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      proved="true"
588
      expanded="false"
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      shape="CV0aTvalueVainfix =aeval_termV2V3amsubst_termV0V4V5aeval_termasetV2V4aget_stackV5V3V3V0Iafresh_in_termV5V0FaTvarVainfix =aeval_termV7V8amsubst_termV0V9V10aeval_termasetV7V9aget_stackV10V8V8V0Iafresh_in_termV10V0FaTderefVainfix =aeval_termV12V13amsubst_termV0V14V15aeval_termasetV12V14aget_stackV15V13V13V0Iafresh_in_termV15V0FaTbinVVVainfix =aeval_termV19V20amsubst_termV0V21V22aeval_termasetV19V21aget_stackV22V20V20V0Iafresh_in_termV22V0FIainfix =aeval_termV23V24amsubst_termV16V25V26aeval_termasetV23V25aget_stackV26V24V24V16Iafresh_in_termV26V16FIainfix =aeval_termV27V28amsubst_termV18V29V30aeval_termasetV27V29aget_stackV30V28V28V18Iafresh_in_termV30V18FF">
      <transf
       name="split_goal_wp"
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       proved="true"
593
       expanded="false">
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       <goal
595
        name="eval_msubst_term.1.1"
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        locfile="../blocking_semantics3.mlw"
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        loclnum="365" loccnumb="6" loccnume="22"
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        expl="1."
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        sum="c724366036eccd3a054a8ed251bbdce4"
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        proved="true"
601
        expanded="false"
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        shape="CV0aTvalueVainfix =aeval_termV2V3amsubst_termV0V4V5aeval_termasetV2V4aget_stackV5V3V3V0Iafresh_in_termV5V0FaTvarVtaTderefVtaTbinVVVtF">
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        <proof
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         prover="1"
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         timelimit="5"
         memlimit="1000"
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         obsolete="false"
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         archived="false">
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         <result status="valid" time="0.04"/>
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        </proof>
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       </goal>
       <goal
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        name="eval_msubst_term.1.2"
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        locfile="../blocking_semantics3.mlw"
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        loclnum="365" loccnumb="6" loccnume="22"
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        expl="2."
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        sum="c7b75d2aeadc491634187126639cafaa"
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        proved="true"
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        expanded="false"
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        shape="CV0aTvalueVtaTvarVainfix =aeval_termV3V4amsubst_termV0V5V6aeval_termasetV3V5aget_stackV6V4V4V0Iafresh_in_termV6V0FaTderefVtaTbinVVVtF">
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        <proof
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         prover="1"
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         timelimit="5"
         memlimit="1000"
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         obsolete="false"
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         archived="false">
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         <result status="valid" time="0.02"/>
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        </proof>
       </goal>
       <goal
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        name="eval_msubst_term.1.3"
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        locfile="../blocking_semantics3.mlw"
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        loclnum="365" loccnumb="6" loccnume="22"
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        expl="3."
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        sum="6af7481adac1e143feafb1a79cd6d170"
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        proved="true"
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        expanded="false"
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        shape="CV0aTvalueVtaTvarVtaTderefVainfix =aeval_termV4V5amsubst_termV0V6V7aeval_termasetV4V6aget_stackV7V5V5V0Iafresh_in_termV7V0FaTbinVVVtF">
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        <proof
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         prover="1"
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         timelimit="5"
         memlimit="1000"
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         obsolete="false"
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         archived="false">
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         <result status="valid" time="0.04"/>
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        </proof>
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       </goal>
       <goal
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        name="eval_msubst_term.1.4"
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        locfile="../blocking_semantics3.mlw"
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        loclnum="365" loccnumb="6" loccnume="22"
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        expl="4."
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        sum="659a881234e2c9f6e2a1d24b825e1226"
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        proved="true"
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        expanded="false"
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        shape="CV0aTvalueVtaTvarVtaTderefVtaTbinVVVainfix =aeval_termV7V8amsubst_termV0V9V10aeval_termasetV7V9aget_stackV10V8V8V0Iafresh_in_termV10V0FIainfix =aeval_termV11V12amsubst_termV4V13V14aeval_termasetV11V13aget_stackV14V12V12V4Iafresh_in_termV14V4FIainfix =aeval_termV15V16amsubst_termV6V17V18aeval_termasetV15V17aget_stackV18V16V16V6Iafresh_in_termV18V6FF">
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        <proof
         prover="1"
         timelimit="5"
         memlimit="1000"
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         obsolete="false"
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         archived="false">
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         <result status="valid" time="0.04"/>
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        </proof>
       </goal>
      </transf>
     </goal>
    </transf>
   </goal>
   <goal
    name="eval_msubst"
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    locfile="../blocking_semantics3.mlw"
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    loclnum="372" loccnumb="6" loccnume="17"
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    sum="43d401be94fcd71b83328aacb4934dae"
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    proved="true"
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    expanded="false"
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    shape="aeval_fmlaasetV1V3aget_stackV4V2V2V0qaeval_fmlaV1V2amsubstV0V3V4Iafresh_in_fmlaV4V0F">
    <transf
     name="induction_ty_lex"
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     proved="true"
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     expanded="false">
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     <goal
      name="eval_msubst.1"
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      locfile="../blocking_semantics3.mlw"
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      loclnum="372" loccnumb="6" loccnume="17"
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      expl="1."
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      sum="23380a5e9d6e23cd71f0f159bce1a439"
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      proved="true"
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      expanded="false"
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      shape="CV0aFtermVaeval_fmlaasetV2V4aget_stackV5V3V3V0qaeval_fmlaV2V3amsubstV0V4V5Iafresh_in_fmlaV5V0FaFandVVaeval_fmlaasetV8V10aget_stackV11V9V9V0qaeval_fmlaV8V9amsubstV0V10V11Iafresh_in_fmlaV11V0FIaeval_fmlaasetV12V14aget_stackV15V13V13V6qaeval_fmlaV12V13amsubstV6V14V15Iafresh_in_fmlaV15V6FIaeval_fmlaasetV16V18aget_stackV19V17V17V7qaeval_fmlaV16V17amsubstV7V18V19Iafresh_in_fmlaV19V7FaFnotVaeval_fmlaasetV21V23aget_stackV24V22V22V0qaeval_fmlaV21V22amsubstV0V23V24Iafresh_in_fmlaV24V0FIaeval_fmlaasetV25V27aget_stackV28V26V26V20qaeval_fmlaV25V26amsubstV20V27V28Iafresh_in_fmlaV28V20FaFimpliesVVaeval_fmlaasetV31V33aget_stackV34V32V32V0qaeval_fmlaV31V32amsubstV0V33V34Iafresh_in_fmlaV34V0FIaeval_fmlaasetV35V37aget_stackV38V36V36V29qaeval_fmlaV35V36amsubstV29V37V38Iafresh_in_fmlaV38V29FIaeval_fmlaasetV39V41aget_stackV42V40V40V30qaeval_fmlaV39V40amsubstV30V41V42Iafresh_in_fmlaV42V30FaFletVVVaeval_fmlaasetV46V48aget_stackV49V47V47V0qaeval_fmlaV46V47amsubstV0V48V49Iafresh_in_fmlaV49V0FIaeval_fmlaasetV50V52aget_stackV53V51V51V45qaeval_fmlaV50V51amsubstV45V52V53Iafresh_in_fmlaV53V45FaFforallVVVaeval_fmlaasetV57V59aget_stackV60V58V58V0qaeval_fmlaV57V58amsubstV0V59V60Iafresh_in_fmlaV60V0FIaeval_fmlaasetV61V63aget_stackV64V62V62V56qaeval_fmlaV61V62amsubstV56V63V64Iafresh_in_fmlaV64V56FF">
      <transf
       name="split_goal_wp"
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       proved="true"
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       expanded="false">
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       <goal
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        name="eval_msubst.1.1"
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        locfile="../blocking_semantics3.mlw"
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        loclnum="372" loccnumb="6" loccnume="17"
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        expl="1."
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        sum="6d84cc9b7a5e3fdbb26501ecc59b8f17"