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

% Computer : art02.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   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   5 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   29 (  14   ~;  12   |;   3   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 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   :   16 (   0 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(assumption_8,plain,
    ! [A,C,B] :
      ( ~ organization(A)
      | ~ greater(age(A,C),age(A,B))
      | greater(external_ties(A,C),external_ties(A,B)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT045+1.tptp',unknown),
    [] ).

cnf(149832808,plain,
    ( ~ organization(A)
    | ~ greater(age(A,C),age(A,B))
    | greater(external_ties(A,C),external_ties(A,B)) ),
    inference(rewrite,[status(thm)],[assumption_8]),
    [] ).

fof(lemma_4,plain,
    ( organization(x)
    & greater(age(x,t),age(x,t0))
    & ~ greater(position(x,t),position(x,t0)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT045+1.tptp',unknown),
    [] ).

cnf(149921288,plain,
    organization(x),
    inference(rewrite,[status(thm)],[lemma_4]),
    [] ).

cnf(163073800,plain,
    ( ~ greater(age(x,B),age(x,A))
    | greater(external_ties(x,B),external_ties(x,A)) ),
    inference(resolution,[status(thm)],[149832808,149921288]),
    [] ).

cnf(149912440,plain,
    greater(age(x,t),age(x,t0)),
    inference(rewrite,[status(thm)],[lemma_4]),
    [] ).

cnf(163165424,plain,
    greater(external_ties(x,t),external_ties(x,t0)),
    inference(resolution,[status(thm)],[163073800,149912440]),
    [] ).

fof(assumption_6,plain,
    ! [A,B,C] :
      ( ( ~ $equal(external_ties(A,B),external_ties(A,C))
        | $equal(position(A,B),position(A,C))
        | ~ organization(A) )
      & ( ~ greater(external_ties(A,C),external_ties(A,B))
        | greater(position(A,C),position(A,B))
        | ~ organization(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT045+1.tptp',unknown),
    [] ).

cnf(149802760,plain,
    ( ~ greater(external_ties(A,C),external_ties(A,B))
    | greater(position(A,C),position(A,B))
    | ~ organization(A) ),
    inference(rewrite,[status(thm)],[assumption_6]),
    [] ).

cnf(163050904,plain,
    ( ~ greater(external_ties(x,B),external_ties(x,A))
    | greater(position(x,B),position(x,A)) ),
    inference(resolution,[status(thm)],[149802760,149921288]),
    [] ).

cnf(149899112,plain,
    ~ greater(position(x,t),position(x,t0)),
    inference(rewrite,[status(thm)],[lemma_4]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163165424,163050904,149899112]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(assumption_8,plain,(~organization(A)|~greater(age(A,C),age(A,B))|greater(external_ties(A,C),external_ties(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT045+1.tptp',unknown),[]).
% 
% cnf(149832808,plain,(~organization(A)|~greater(age(A,C),age(A,B))|greater(external_ties(A,C),external_ties(A,B))),inference(rewrite,[status(thm)],[assumption_8]),[]).
% 
% fof(lemma_4,plain,((organization(x)&greater(age(x,t),age(x,t0))&~greater(position(x,t),position(x,t0)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT045+1.tptp',unknown),[]).
% 
% cnf(149921288,plain,(organization(x)),inference(rewrite,[status(thm)],[lemma_4]),[]).
% 
% cnf(163073800,plain,(~greater(age(x,B),age(x,A))|greater(external_ties(x,B),external_ties(x,A))),inference(resolution,[status(thm)],[149832808,149921288]),[]).
% 
% cnf(149912440,plain,(greater(age(x,t),age(x,t0))),inference(rewrite,[status(thm)],[lemma_4]),[]).
% 
% cnf(163165424,plain,(greater(external_ties(x,t),external_ties(x,t0))),inference(resolution,[status(thm)],[163073800,149912440]),[]).
% 
% fof(assumption_6,plain,(((~$equal(external_ties(A,B),external_ties(A,C))|$equal(position(A,B),position(A,C))|~organization(A))&(~greater(external_ties(A,C),external_ties(A,B))|greater(position(A,C),position(A,B))|~organization(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT045+1.tptp',unknown),[]).
% 
% cnf(149802760,plain,(~greater(external_ties(A,C),external_ties(A,B))|greater(position(A,C),position(A,B))|~organization(A)),inference(rewrite,[status(thm)],[assumption_6]),[]).
% 
% cnf(163050904,plain,(~greater(external_ties(x,B),external_ties(x,A))|greater(position(x,B),position(x,A))),inference(resolution,[status(thm)],[149802760,149921288]),[]).
% 
% cnf(149899112,plain,(~greater(position(x,t),position(x,t0))),inference(rewrite,[status(thm)],[lemma_4]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[163165424,163050904,149899112]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------