%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : MGT049-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art09.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May  6 14:03:40 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   8   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   16 (   6 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(assumption_11_32,plain,
    ! [A,C,B] :
      ( ~ organization(A)
      | $equal(external_ties(A,C),external_ties(A,B)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT049-1.tptp',unknown),
    [] ).

cnf(168929136,plain,
    ( ~ organization(A)
    | $equal(external_ties(A,C),external_ties(A,B)) ),
    inference(rewrite,[status(thm)],[assumption_11_32]),
    [] ).

fof(lemma_6_33,plain,
    organization(sk1),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT049-1.tptp',unknown),
    [] ).

cnf(168937816,plain,
    organization(sk1),
    inference(rewrite,[status(thm)],[lemma_6_33]),
    [] ).

cnf(182055384,plain,
    $equal(external_ties(sk1,B),external_ties(sk1,A)),
    inference(resolution,[status(thm)],[168929136,168937816]),
    [] ).

fof(assumption_6_31,plain,
    ! [A,C,B] :
      ( ~ organization(A)
      | ~ $equal(external_ties(A,C),external_ties(A,B))
      | $equal(position(A,C),position(A,B)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT049-1.tptp',unknown),
    [] ).

cnf(168923832,plain,
    ( ~ organization(A)
    | ~ $equal(external_ties(A,C),external_ties(A,B))
    | $equal(position(A,C),position(A,B)) ),
    inference(rewrite,[status(thm)],[assumption_6_31]),
    [] ).

cnf(182089832,plain,
    $equal(position(sk1,B),position(sk1,A)),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[182055384,168923832,168937816]),
    [] ).

fof(lemma_6_35,plain,
    ~ $equal(position(sk1,sk2),position(sk1,sk3)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT049-1.tptp',unknown),
    [] ).

cnf(168947104,plain,
    ~ $equal(position(sk1,sk2),position(sk1,sk3)),
    inference(rewrite,[status(thm)],[lemma_6_35]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[182089832,168947104]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(assumption_11_32,plain,(~organization(A)|$equal(external_ties(A,C),external_ties(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT049-1.tptp',unknown),[]).
% 
% cnf(168929136,plain,(~organization(A)|$equal(external_ties(A,C),external_ties(A,B))),inference(rewrite,[status(thm)],[assumption_11_32]),[]).
% 
% fof(lemma_6_33,plain,(organization(sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT049-1.tptp',unknown),[]).
% 
% cnf(168937816,plain,(organization(sk1)),inference(rewrite,[status(thm)],[lemma_6_33]),[]).
% 
% cnf(182055384,plain,($equal(external_ties(sk1,B),external_ties(sk1,A))),inference(resolution,[status(thm)],[168929136,168937816]),[]).
% 
% fof(assumption_6_31,plain,(~organization(A)|~$equal(external_ties(A,C),external_ties(A,B))|$equal(position(A,C),position(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT049-1.tptp',unknown),[]).
% 
% cnf(168923832,plain,(~organization(A)|~$equal(external_ties(A,C),external_ties(A,B))|$equal(position(A,C),position(A,B))),inference(rewrite,[status(thm)],[assumption_6_31]),[]).
% 
% cnf(182089832,plain,($equal(position(sk1,B),position(sk1,A))),inference(forward_subsumption_resolution__resolution,[status(thm)],[182055384,168923832,168937816]),[]).
% 
% fof(lemma_6_35,plain,(~$equal(position(sk1,sk2),position(sk1,sk3))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT049-1.tptp',unknown),[]).
% 
% cnf(168947104,plain,(~$equal(position(sk1,sk2),position(sk1,sk3))),inference(rewrite,[status(thm)],[lemma_6_35]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[182089832,168947104]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------