%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : MGT049+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art09.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 : Sat Dec 25 21:07:55 EST 2010

% Result   : Theorem 0.16s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   20 (   5 unt;   0 def)
%            Number of atoms       :   54 (  22 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   55 (  21   ~;  16   |;  12   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   44 (   6 sgn  27   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(3,conjecture,
    ! [X1,X4,X5] :
      ( ( organization(X1)
        & greater(age(X1,X5),age(X1,X4)) )
     => position(X1,X5) = position(X1,X4) ),
    file('/tmp/tmppnLMZv/sel_MGT049+1.p_1',lemma_6) ).

fof(4,axiom,
    ! [X1,X4,X5] :
      ( organization(X1)
     => external_ties(X1,X5) = external_ties(X1,X4) ),
    file('/tmp/tmppnLMZv/sel_MGT049+1.p_1',assumption_11) ).

fof(5,axiom,
    ! [X1,X4,X5] :
      ( organization(X1)
     => ( ( greater(external_ties(X1,X5),external_ties(X1,X4))
         => greater(position(X1,X5),position(X1,X4)) )
        & ( external_ties(X1,X5) = external_ties(X1,X4)
         => position(X1,X5) = position(X1,X4) ) ) ),
    file('/tmp/tmppnLMZv/sel_MGT049+1.p_1',assumption_6) ).

fof(6,negated_conjecture,
    ~ ! [X1,X4,X5] :
        ( ( organization(X1)
          & greater(age(X1,X5),age(X1,X4)) )
       => position(X1,X5) = position(X1,X4) ),
    inference(assume_negation,[status(cth)],[3]) ).

fof(13,negated_conjecture,
    ? [X1,X4,X5] :
      ( organization(X1)
      & greater(age(X1,X5),age(X1,X4))
      & position(X1,X5) != position(X1,X4) ),
    inference(fof_nnf,[status(thm)],[6]) ).

fof(14,negated_conjecture,
    ? [X6,X7,X8] :
      ( organization(X6)
      & greater(age(X6,X8),age(X6,X7))
      & position(X6,X8) != position(X6,X7) ),
    inference(variable_rename,[status(thm)],[13]) ).

fof(15,negated_conjecture,
    ( organization(esk1_0)
    & greater(age(esk1_0,esk3_0),age(esk1_0,esk2_0))
    & position(esk1_0,esk3_0) != position(esk1_0,esk2_0) ),
    inference(skolemize,[status(esa)],[14]) ).

cnf(16,negated_conjecture,
    position(esk1_0,esk3_0) != position(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[15]) ).

cnf(18,negated_conjecture,
    organization(esk1_0),
    inference(split_conjunct,[status(thm)],[15]) ).

fof(19,plain,
    ! [X1,X4,X5] :
      ( ~ organization(X1)
      | external_ties(X1,X5) = external_ties(X1,X4) ),
    inference(fof_nnf,[status(thm)],[4]) ).

fof(20,plain,
    ! [X6,X7,X8] :
      ( ~ organization(X6)
      | external_ties(X6,X8) = external_ties(X6,X7) ),
    inference(variable_rename,[status(thm)],[19]) ).

cnf(21,plain,
    ( external_ties(X1,X2) = external_ties(X1,X3)
    | ~ organization(X1) ),
    inference(split_conjunct,[status(thm)],[20]) ).

fof(22,plain,
    ! [X1,X4,X5] :
      ( ~ organization(X1)
      | ( ( ~ greater(external_ties(X1,X5),external_ties(X1,X4))
          | greater(position(X1,X5),position(X1,X4)) )
        & ( external_ties(X1,X5) != external_ties(X1,X4)
          | position(X1,X5) = position(X1,X4) ) ) ),
    inference(fof_nnf,[status(thm)],[5]) ).

fof(23,plain,
    ! [X6,X7,X8] :
      ( ~ organization(X6)
      | ( ( ~ greater(external_ties(X6,X8),external_ties(X6,X7))
          | greater(position(X6,X8),position(X6,X7)) )
        & ( external_ties(X6,X8) != external_ties(X6,X7)
          | position(X6,X8) = position(X6,X7) ) ) ),
    inference(variable_rename,[status(thm)],[22]) ).

fof(24,plain,
    ! [X6,X7,X8] :
      ( ( ~ greater(external_ties(X6,X8),external_ties(X6,X7))
        | greater(position(X6,X8),position(X6,X7))
        | ~ organization(X6) )
      & ( external_ties(X6,X8) != external_ties(X6,X7)
        | position(X6,X8) = position(X6,X7)
        | ~ organization(X6) ) ),
    inference(distribute,[status(thm)],[23]) ).

cnf(25,plain,
    ( position(X1,X2) = position(X1,X3)
    | ~ organization(X1)
    | external_ties(X1,X2) != external_ties(X1,X3) ),
    inference(split_conjunct,[status(thm)],[24]) ).

cnf(30,plain,
    ( position(X1,X2) = position(X1,X3)
    | ~ organization(X1) ),
    inference(csr,[status(thm)],[25,21]) ).

cnf(31,negated_conjecture,
    position(esk1_0,X1) = position(esk1_0,X2),
    inference(spm,[status(thm)],[30,18,theory(equality)]) ).

cnf(48,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[16,31,theory(equality)]) ).

cnf(49,negated_conjecture,
    $false,
    48,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/MGT/MGT049+1.p
% --creating new selector for [MGT001+0.ax]
% -running prover on /tmp/tmppnLMZv/sel_MGT049+1.p_1 with time limit 29
% -prover status Theorem
% Problem MGT049+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/MGT/MGT049+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/MGT/MGT049+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
% 
%------------------------------------------------------------------------------