<?xml version="1.0" encoding="ISO-8859-1"?>

<!DOCTYPE proofs SYSTEM "proof3.dtd">

<?xml-stylesheet type="text/xsl" href="proof3.xsl"?>

<proofs number_of_proofs="1">

<source>cP-corresponds-sP.out</source>

<heading><![CDATA[
Prover9 (32) version Aug-2007, Aug 2007.
Process 11823 was started by dwheeler on dwheeler2-pc.itsd.ida.org,
Tue Nov 20 15:20:36 2007
The command was "prover9 -t 60 -f cP-corresponds-sP.in".
]]></heading>

<proof number="1" length="10" max_count="18">

<comments><![CDATA[
% Proof 1 at 0.00 (+ 0.00) seconds: cP_corresponds_to_sP.
% Length of proof is 10.
% Level of proof is 3.
% Maximum clause weight is 10.
% Given clauses 0.
]]></comments>

  <clause id="1" type="assumption">
    <literal><![CDATA[
      (all A accurately_translates(cGP,lsP,sP,A,eP,eA))
    ]]></literal>
    <attribute><![CDATA[
      label(cGP_compiles_sP)
    ]]></attribute>
    <attribute><![CDATA[
      label(non_clause)
    ]]></attribute>
    <justification jstring="[assumption].">
      <j1 rule="assumption"/>
    </justification>
  </clause>

  <clause id="2" type="assumption">
    <literal><![CDATA[
      accurately_translates(A,B,C,D,E,F) -> exactly_correspond(compile(C,A,D,E,F),C,B,F)
    ]]></literal>
    <attribute><![CDATA[
      label(define_exactly_correspond)
    ]]></attribute>
    <attribute><![CDATA[
      label(non_clause)
    ]]></attribute>
    <justification jstring="[assumption].">
      <j1 rule="assumption"/>
    </justification>
  </clause>

  <clause id="3" type="goal">
    <literal><![CDATA[
      exactly_correspond(cP,sP,lsP,eA)
    ]]></literal>
    <attribute><![CDATA[
      label(cP_corresponds_to_sP)
    ]]></attribute>
    <attribute><![CDATA[
      label(non_clause)
    ]]></attribute>
    <attribute><![CDATA[
      label(goal)
    ]]></attribute>
    <justification jstring="[goal].">
      <j1 rule="goal"/>
    </justification>
  </clause>

  <clause id="4" type="clausify">
    <literal><![CDATA[
      -accurately_translates(A,B,C,D,E,F)
    ]]></literal>
    <literal><![CDATA[
      exactly_correspond(compile(C,A,D,E,F),C,B,F)
    ]]></literal>
    <attribute><![CDATA[
      label(define_exactly_correspond)
    ]]></attribute>
    <justification jstring="[clausify(2)].">
      <j1 rule="clausify" parents="2"/>
    </justification>
  </clause>

  <clause id="5" type="clausify">
    <literal><![CDATA[
      accurately_translates(cGP,lsP,sP,A,eP,eA)
    ]]></literal>
    <attribute><![CDATA[
      label(cGP_compiles_sP)
    ]]></attribute>
    <justification jstring="[clausify(1)].">
      <j1 rule="clausify" parents="1"/>
    </justification>
  </clause>

  <clause id="6" type="assumption">
    <literal><![CDATA[
      cP = compile(sP,cGP,ePeffects,eP,eA)
    ]]></literal>
    <attribute><![CDATA[
      label(definition_cP)
    ]]></attribute>
    <justification jstring="[assumption].">
      <j1 rule="assumption"/>
    </justification>
  </clause>

  <clause id="7" type="deny">
    <literal><![CDATA[
      -exactly_correspond(cP,sP,lsP,eA)
    ]]></literal>
    <attribute><![CDATA[
      label(cP_corresponds_to_sP)
    ]]></attribute>
    <attribute><![CDATA[
      answer(cP_corresponds_to_sP)
    ]]></attribute>
    <justification jstring="[deny(3)].">
      <j1 rule="deny" parents="3"/>
    </justification>
  </clause>

  <clause id="8">
    <literal><![CDATA[
      -exactly_correspond(compile(sP,cGP,ePeffects,eP,eA),sP,lsP,eA)
    ]]></literal>
    <justification jstring="[para(6(a,1),7(a,1))].">
      <j1 rule="para" parents="6 7"/>
    </justification>
  </clause>

  <clause id="9">
    <literal><![CDATA[
      exactly_correspond(compile(sP,cGP,A,eP,eA),sP,lsP,eA)
    ]]></literal>
    <justification jstring="[resolve(4,a,5,a)].">
      <j1 rule="resolve" parents="4 5"/>
    </justification>
  </clause>

  <clause id="10">
    <literal><![CDATA[
      $F
    ]]></literal>
    <attribute><![CDATA[
      answer(cP_corresponds_to_sP)
    ]]></attribute>
    <justification jstring="[resolve(9,a,8,a)].">
      <j1 rule="resolve" parents="9 8"/>
    </justification>
  </clause>

</proof>

</proofs>

