%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : MGT045-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art10.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 14:03:23 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   18 (  10   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(lemma_4_33,plain,
    organization(sk1),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT045-1.tptp',unknown),
    [] ).

cnf(166961272,plain,
    organization(sk1),
    inference(rewrite,[status(thm)],[lemma_4_33]),
    [] ).

fof(assumption_8_32,plain,
    ! [A,B,C] :
      ( ~ organization(A)
      | ~ greater(age(A,B),age(A,C))
      | greater(external_ties(A,B),external_ties(A,C)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT045-1.tptp',unknown),
    [] ).

cnf(166952672,plain,
    ( ~ organization(A)
    | ~ greater(age(A,B),age(A,C))
    | greater(external_ties(A,B),external_ties(A,C)) ),
    inference(rewrite,[status(thm)],[assumption_8_32]),
    [] ).

fof(lemma_4_34,plain,
    greater(age(sk1,sk3),age(sk1,sk2)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT045-1.tptp',unknown),
    [] ).

cnf(166966248,plain,
    greater(age(sk1,sk3),age(sk1,sk2)),
    inference(rewrite,[status(thm)],[lemma_4_34]),
    [] ).

cnf(180240664,plain,
    greater(external_ties(sk1,sk3),external_ties(sk1,sk2)),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[166961272,166952672,166966248]),
    [] ).

fof(assumption_6_30,plain,
    ! [A,B,C] :
      ( ~ organization(A)
      | ~ greater(external_ties(A,B),external_ties(A,C))
      | greater(position(A,B),position(A,C)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT045-1.tptp',unknown),
    [] ).

cnf(166924928,plain,
    ( ~ organization(A)
    | ~ greater(external_ties(A,B),external_ties(A,C))
    | greater(position(A,B),position(A,C)) ),
    inference(rewrite,[status(thm)],[assumption_6_30]),
    [] ).

fof(lemma_4_35,plain,
    ~ greater(position(sk1,sk3),position(sk1,sk2)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT045-1.tptp',unknown),
    [] ).

cnf(166970480,plain,
    ~ greater(position(sk1,sk3),position(sk1,sk2)),
    inference(rewrite,[status(thm)],[lemma_4_35]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[180240664,166961272,166924928,166970480]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(lemma_4_33,plain,(organization(sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT045-1.tptp',unknown),[]).
% 
% cnf(166961272,plain,(organization(sk1)),inference(rewrite,[status(thm)],[lemma_4_33]),[]).
% 
% fof(assumption_8_32,plain,(~organization(A)|~greater(age(A,B),age(A,C))|greater(external_ties(A,B),external_ties(A,C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT045-1.tptp',unknown),[]).
% 
% cnf(166952672,plain,(~organization(A)|~greater(age(A,B),age(A,C))|greater(external_ties(A,B),external_ties(A,C))),inference(rewrite,[status(thm)],[assumption_8_32]),[]).
% 
% fof(lemma_4_34,plain,(greater(age(sk1,sk3),age(sk1,sk2))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT045-1.tptp',unknown),[]).
% 
% cnf(166966248,plain,(greater(age(sk1,sk3),age(sk1,sk2))),inference(rewrite,[status(thm)],[lemma_4_34]),[]).
% 
% cnf(180240664,plain,(greater(external_ties(sk1,sk3),external_ties(sk1,sk2))),inference(forward_subsumption_resolution__resolution,[status(thm)],[166961272,166952672,166966248]),[]).
% 
% fof(assumption_6_30,plain,(~organization(A)|~greater(external_ties(A,B),external_ties(A,C))|greater(position(A,B),position(A,C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT045-1.tptp',unknown),[]).
% 
% cnf(166924928,plain,(~organization(A)|~greater(external_ties(A,B),external_ties(A,C))|greater(position(A,B),position(A,C))),inference(rewrite,[status(thm)],[assumption_6_30]),[]).
% 
% fof(lemma_4_35,plain,(~greater(position(sk1,sk3),position(sk1,sk2))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT045-1.tptp',unknown),[]).
% 
% cnf(166970480,plain,(~greater(position(sk1,sk3),position(sk1,sk2))),inference(rewrite,[status(thm)],[lemma_4_35]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[180240664,166961272,166924928,166970480]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------