<?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="2">

<source>GEO147+1.out</source>

<heading><![CDATA[
FOF-Prover9 (32) version 22-May-2007, May 2007.
Process 27364 was started by mccune on cleo,
Tue May 22 14:45:13 2007
The command was "/home/mccune/bin/fof-prover9 -f GEO147+1.in".
]]></heading>

<proof number="1" length="11" max_count="12">

<comments><![CDATA[
% Proof 1 at 0.21 (+ 0.01) seconds.
% Length of proof is 11.
% Level of proof is 3.
% Maximum clause weight is 8.
% Given clauses 384.
]]></comments>

  <clause id="35" type="assumption">
    <literal><![CDATA[
      once(at_the_same_time(at(A,B),at(C,B)))
    ]]></literal>
    <literal><![CDATA[
      -connect(A,C,B)
    ]]></literal>
    <justification jstring="[assumption].">
      <j1 rule="assumption"/>
    </justification>
  </clause>

  <clause id="37" type="assumption">
    <literal><![CDATA[
      connect(c2,c3,c1)
    ]]></literal>
    <justification jstring="[assumption].">
      <j1 rule="assumption"/>
    </justification>
  </clause>

  <clause id="211" type="assumption">
    <literal><![CDATA[
      once(A)
    ]]></literal>
    <literal><![CDATA[
      -once(at_the_same_time(A,B))
    ]]></literal>
    <justification jstring="[assumption].">
      <j1 rule="assumption"/>
    </justification>
  </clause>

  <clause id="214" type="assumption">
    <literal><![CDATA[
      incident_o(A,trajectory_of(B))
    ]]></literal>
    <literal><![CDATA[
      -once(at(B,A))
    ]]></literal>
    <justification jstring="[assumption].">
      <j1 rule="assumption"/>
    </justification>
  </clause>

  <clause id="215" type="assumption">
    <literal><![CDATA[
      trajectory_of(A) = f61(A)
    ]]></literal>
    <justification jstring="[assumption].">
      <j1 rule="assumption"/>
    </justification>
  </clause>

  <clause id="219" type="assumption">
    <literal><![CDATA[
      -incident_o(c1,trajectory_of(c2))
    ]]></literal>
    <justification jstring="[assumption].">
      <j1 rule="assumption"/>
    </justification>
  </clause>

  <clause id="220">
    <literal><![CDATA[
      -incident_o(c1,f61(c2))
    ]]></literal>
    <justification jstring="[copy(219),rewrite([215(3)])].">
      <j1 rule="copy" parents="219"/>
      <j2 rule="rewrite" parents="215"/>
    </justification>
  </clause>

  <clause id="278">
    <literal><![CDATA[
      once(at_the_same_time(at(c2,c1),at(c3,c1)))
    ]]></literal>
    <justification jstring="[resolve(37,a,35,b)].">
      <j1 rule="resolve" parents="37 35"/>
    </justification>
  </clause>

  <clause id="384">
    <literal><![CDATA[
      incident_o(A,f61(B))
    ]]></literal>
    <literal><![CDATA[
      -once(at(B,A))
    ]]></literal>
    <justification jstring="[back_rewrite(214),rewrite([215(1)])].">
      <j1 rule="back_rewrite" parents="214"/>
      <j2 rule="rewrite" parents="215"/>
    </justification>
  </clause>

  <clause id="755">
    <literal><![CDATA[
      once(at(c2,c1))
    ]]></literal>
    <justification jstring="[resolve(278,a,211,b)].">
      <j1 rule="resolve" parents="278 211"/>
    </justification>
  </clause>

  <clause id="948">
    <literal><![CDATA[
      $F
    ]]></literal>
    <justification jstring="[resolve(755,a,384,b),unit_del(a,220)].">
      <j1 rule="resolve" parents="755 384"/>
      <j2 rule="unit_del" parents="220"/>
    </justification>
  </clause>

</proof>

<proof number="2" length="11" max_count="12">

<comments><![CDATA[
% Proof 1 at 0.20 (+ 0.02) seconds.
% Length of proof is 11.
% Level of proof is 3.
% Maximum clause weight is 8.
% Given clauses 383.
]]></comments>

  <clause id="35" type="assumption">
    <literal><![CDATA[
      once(at_the_same_time(at(A,B),at(C,B)))
    ]]></literal>
    <literal><![CDATA[
      -connect(A,C,B)
    ]]></literal>
    <justification jstring="[assumption].">
      <j1 rule="assumption"/>
    </justification>
  </clause>

  <clause id="37" type="assumption">
    <literal><![CDATA[
      connect(c2,c3,c1)
    ]]></literal>
    <justification jstring="[assumption].">
      <j1 rule="assumption"/>
    </justification>
  </clause>

  <clause id="212" type="assumption">
    <literal><![CDATA[
      -once(at_the_same_time(A,B))
    ]]></literal>
    <literal><![CDATA[
      once(B)
    ]]></literal>
    <justification jstring="[assumption].">
      <j1 rule="assumption"/>
    </justification>
  </clause>

  <clause id="214" type="assumption">
    <literal><![CDATA[
      incident_o(A,trajectory_of(B))
    ]]></literal>
    <literal><![CDATA[
      -once(at(B,A))
    ]]></literal>
    <justification jstring="[assumption].">
      <j1 rule="assumption"/>
    </justification>
  </clause>

  <clause id="215" type="assumption">
    <literal><![CDATA[
      trajectory_of(A) = f61(A)
    ]]></literal>
    <justification jstring="[assumption].">
      <j1 rule="assumption"/>
    </justification>
  </clause>

  <clause id="219" type="assumption">
    <literal><![CDATA[
      -incident_o(c1,trajectory_of(c3))
    ]]></literal>
    <justification jstring="[assumption].">
      <j1 rule="assumption"/>
    </justification>
  </clause>

  <clause id="220">
    <literal><![CDATA[
      -incident_o(c1,f61(c3))
    ]]></literal>
    <justification jstring="[copy(219),rewrite([215(3)])].">
      <j1 rule="copy" parents="219"/>
      <j2 rule="rewrite" parents="215"/>
    </justification>
  </clause>

  <clause id="278">
    <literal><![CDATA[
      once(at_the_same_time(at(c2,c1),at(c3,c1)))
    ]]></literal>
    <justification jstring="[resolve(37,a,35,b)].">
      <j1 rule="resolve" parents="37 35"/>
    </justification>
  </clause>

  <clause id="384">
    <literal><![CDATA[
      incident_o(A,f61(B))
    ]]></literal>
    <literal><![CDATA[
      -once(at(B,A))
    ]]></literal>
    <justification jstring="[back_rewrite(214),rewrite([215(1)])].">
      <j1 rule="back_rewrite" parents="214"/>
      <j2 rule="rewrite" parents="215"/>
    </justification>
  </clause>

  <clause id="754">
    <literal><![CDATA[
      once(at(c3,c1))
    ]]></literal>
    <justification jstring="[resolve(278,a,212,a)].">
      <j1 rule="resolve" parents="278 212"/>
    </justification>
  </clause>

  <clause id="945">
    <literal><![CDATA[
      $F
    ]]></literal>
    <justification jstring="[resolve(754,a,384,b),unit_del(a,220)].">
      <j1 rule="resolve" parents="754 384"/>
      <j2 rule="unit_del" parents="220"/>
    </justification>
  </clause>

</proof>

</proofs>
