%------------------------------------------------------------------------------
% 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   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   5 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   21 (  10   ~;   8   |;   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 (   6 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(lemma_6,plain,
    ( organization(x)
    & greater(age(x,t),age(x,t0))
    & ~ $equal(position(x,t0),position(x,t)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT049+1.tptp',unknown),
    [] ).

cnf(160805800,plain,
    organization(x),
    inference(rewrite,[status(thm)],[lemma_6]),
    [] ).

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/MGT049+1.tptp',unknown),
    [] ).

cnf(160710400,plain,
    ( ~ $equal(external_ties(A,B),external_ties(A,C))
    | $equal(position(A,B),position(A,C))
    | ~ organization(A) ),
    inference(rewrite,[status(thm)],[assumption_6]),
    [] ).

fof(assumption_11,plain,
    ! [A,B,C] :
      ( ~ organization(A)
      | $equal(external_ties(A,B),external_ties(A,C)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT049+1.tptp',unknown),
    [] ).

cnf(160717160,plain,
    ( ~ organization(A)
    | $equal(external_ties(A,B),external_ties(A,C)) ),
    inference(rewrite,[status(thm)],[assumption_11]),
    [] ).

cnf(173913944,plain,
    $equal(external_ties(x,A),external_ties(x,B)),
    inference(resolution,[status(thm)],[160717160,160805800]),
    [] ).

cnf(174043688,plain,
    $equal(position(x,A),position(x,B)),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[160805800,160710400,173913944]),
    [] ).

cnf(160783576,plain,
    ~ $equal(position(x,t0),position(x,t)),
    inference(rewrite,[status(thm)],[lemma_6]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[174043688,160783576]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(lemma_6,plain,((organization(x)&greater(age(x,t),age(x,t0))&~$equal(position(x,t0),position(x,t)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT049+1.tptp',unknown),[]).
% 
% cnf(160805800,plain,(organization(x)),inference(rewrite,[status(thm)],[lemma_6]),[]).
% 
% fof(assumption_6,plain,(((~$equal(external_ties(A,B),external_ties(A,C))|$equal(position(A,B),position(A,C))|~organization(A))&(~greater(external_ties(A,C),external_ties(A,B))|greater(position(A,C),position(A,B))|~organization(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT049+1.tptp',unknown),[]).
% 
% cnf(160710400,plain,(~$equal(external_ties(A,B),external_ties(A,C))|$equal(position(A,B),position(A,C))|~organization(A)),inference(rewrite,[status(thm)],[assumption_6]),[]).
% 
% fof(assumption_11,plain,(~organization(A)|$equal(external_ties(A,B),external_ties(A,C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT049+1.tptp',unknown),[]).
% 
% cnf(160717160,plain,(~organization(A)|$equal(external_ties(A,B),external_ties(A,C))),inference(rewrite,[status(thm)],[assumption_11]),[]).
% 
% cnf(173913944,plain,($equal(external_ties(x,A),external_ties(x,B))),inference(resolution,[status(thm)],[160717160,160805800]),[]).
% 
% cnf(174043688,plain,($equal(position(x,A),position(x,B))),inference(forward_subsumption_resolution__resolution,[status(thm)],[160805800,160710400,173913944]),[]).
% 
% cnf(160783576,plain,(~$equal(position(x,t0),position(x,t))),inference(rewrite,[status(thm)],[lemma_6]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[174043688,160783576]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------