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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : PUZ128+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art02.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 00:56:53 EST 2010

% Result   : Theorem 0.17s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   29 (  17 unt;   0 def)
%            Number of atoms       :   58 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   54 (  25   ~;  20   |;   9   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   12 (   0 sgn   4   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    parent_of(polyneikes,thersandros),
    file('/tmp/tmpUvw250/sel_PUZ128+1.p_1',polyneikes_thersandros) ).

fof(2,axiom,
    ~ patricide(thersandros),
    file('/tmp/tmpUvw250/sel_PUZ128+1.p_1',thersandros_not_patricidal) ).

fof(3,axiom,
    parent_of(oedipus,polyneikes),
    file('/tmp/tmpUvw250/sel_PUZ128+1.p_1',oedipus_polyneikes) ).

fof(4,conjecture,
    ? [X1,X2] :
      ( parent_of(iokaste,X1)
      & patricide(X1)
      & parent_of(X1,X2)
      & ~ patricide(X2) ),
    file('/tmp/tmpUvw250/sel_PUZ128+1.p_1',iokaste_parent_particide_parent_not_patricide) ).

fof(5,axiom,
    parent_of(iokaste,polyneikes),
    file('/tmp/tmpUvw250/sel_PUZ128+1.p_1',iokaste_polyneikes) ).

fof(6,axiom,
    parent_of(iokaste,oedipus),
    file('/tmp/tmpUvw250/sel_PUZ128+1.p_1',iokaste_oedipus) ).

fof(7,axiom,
    patricide(oedipus),
    file('/tmp/tmpUvw250/sel_PUZ128+1.p_1',oedipus_patricidal) ).

fof(8,negated_conjecture,
    ~ ? [X1,X2] :
        ( parent_of(iokaste,X1)
        & patricide(X1)
        & parent_of(X1,X2)
        & ~ patricide(X2) ),
    inference(assume_negation,[status(cth)],[4]) ).

fof(9,plain,
    ~ patricide(thersandros),
    inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).

fof(10,negated_conjecture,
    ~ ? [X1,X2] :
        ( parent_of(iokaste,X1)
        & patricide(X1)
        & parent_of(X1,X2)
        & ~ patricide(X2) ),
    inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).

cnf(11,plain,
    parent_of(polyneikes,thersandros),
    inference(split_conjunct,[status(thm)],[1]) ).

cnf(12,plain,
    ~ patricide(thersandros),
    inference(split_conjunct,[status(thm)],[9]) ).

cnf(13,plain,
    parent_of(oedipus,polyneikes),
    inference(split_conjunct,[status(thm)],[3]) ).

fof(14,negated_conjecture,
    ! [X1,X2] :
      ( ~ parent_of(iokaste,X1)
      | ~ patricide(X1)
      | ~ parent_of(X1,X2)
      | patricide(X2) ),
    inference(fof_nnf,[status(thm)],[10]) ).

fof(15,negated_conjecture,
    ! [X3,X4] :
      ( ~ parent_of(iokaste,X3)
      | ~ patricide(X3)
      | ~ parent_of(X3,X4)
      | patricide(X4) ),
    inference(variable_rename,[status(thm)],[14]) ).

cnf(16,negated_conjecture,
    ( patricide(X1)
    | ~ parent_of(X2,X1)
    | ~ patricide(X2)
    | ~ parent_of(iokaste,X2) ),
    inference(split_conjunct,[status(thm)],[15]) ).

cnf(17,plain,
    parent_of(iokaste,polyneikes),
    inference(split_conjunct,[status(thm)],[5]) ).

cnf(18,plain,
    parent_of(iokaste,oedipus),
    inference(split_conjunct,[status(thm)],[6]) ).

cnf(19,plain,
    patricide(oedipus),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(22,negated_conjecture,
    ( patricide(thersandros)
    | ~ patricide(polyneikes)
    | ~ parent_of(iokaste,polyneikes) ),
    inference(spm,[status(thm)],[16,11,theory(equality)]) ).

cnf(23,negated_conjecture,
    ( patricide(polyneikes)
    | ~ patricide(oedipus)
    | ~ parent_of(iokaste,oedipus) ),
    inference(spm,[status(thm)],[16,13,theory(equality)]) ).

cnf(25,negated_conjecture,
    ( patricide(thersandros)
    | ~ patricide(polyneikes)
    | $false ),
    inference(rw,[status(thm)],[22,17,theory(equality)]) ).

cnf(26,negated_conjecture,
    ( patricide(thersandros)
    | ~ patricide(polyneikes) ),
    inference(cn,[status(thm)],[25,theory(equality)]) ).

cnf(27,negated_conjecture,
    ~ patricide(polyneikes),
    inference(sr,[status(thm)],[26,12,theory(equality)]) ).

cnf(28,negated_conjecture,
    ( patricide(polyneikes)
    | $false
    | ~ parent_of(iokaste,oedipus) ),
    inference(rw,[status(thm)],[23,19,theory(equality)]) ).

cnf(29,negated_conjecture,
    ( patricide(polyneikes)
    | $false
    | $false ),
    inference(rw,[status(thm)],[28,18,theory(equality)]) ).

cnf(30,negated_conjecture,
    patricide(polyneikes),
    inference(cn,[status(thm)],[29,theory(equality)]) ).

cnf(32,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[30,27,theory(equality)]) ).

cnf(33,negated_conjecture,
    $false,
    32,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/PUZ/PUZ128+1.p
% --creating new selector for []
% -running prover on /tmp/tmpUvw250/sel_PUZ128+1.p_1 with time limit 29
% -prover status Theorem
% Problem PUZ128+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/PUZ/PUZ128+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/PUZ/PUZ128+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------