%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SET786-1 : TPTP v3.4.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art04.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 15:36:53 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   3 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   6   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :    8 (   0 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(thm25_3,plain,
    ! [A] :
      ( element(A,sk1)
      | element(sk2(A),A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET786-1.tptp',unknown),
    [] ).

cnf(158834016,plain,
    ( element(A,sk1)
    | element(sk2(A),A) ),
    inference(rewrite,[status(thm)],[thm25_3]),
    [] ).

fof(thm25_1,plain,
    ! [A,B] :
      ( ~ element(A,B)
      | ~ element(B,A)
      | ~ element(B,sk1) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET786-1.tptp',unknown),
    [] ).

cnf(158823680,plain,
    ( ~ element(A,B)
    | ~ element(B,A)
    | ~ element(B,sk1) ),
    inference(rewrite,[status(thm)],[thm25_1]),
    [] ).

cnf(171889568,plain,
    element(sk2(sk1),sk1),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[158834016,158823680,158834016]),
    [] ).

fof(thm25_2,plain,
    ! [A] :
      ( element(A,sk1)
      | element(A,sk2(A)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET786-1.tptp',unknown),
    [] ).

cnf(158830056,plain,
    ( element(A,sk1)
    | element(A,sk2(A)) ),
    inference(rewrite,[status(thm)],[thm25_2]),
    [] ).

cnf(171848648,plain,
    element(sk1,sk2(sk1)),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[158830056,158823680,158830056]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[171889568,171848648,158823680]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(thm25_3,plain,(element(A,sk1)|element(sk2(A),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET786-1.tptp',unknown),[]).
% 
% cnf(158834016,plain,(element(A,sk1)|element(sk2(A),A)),inference(rewrite,[status(thm)],[thm25_3]),[]).
% 
% fof(thm25_1,plain,(~element(A,B)|~element(B,A)|~element(B,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET786-1.tptp',unknown),[]).
% 
% cnf(158823680,plain,(~element(A,B)|~element(B,A)|~element(B,sk1)),inference(rewrite,[status(thm)],[thm25_1]),[]).
% 
% cnf(171889568,plain,(element(sk2(sk1),sk1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[158834016,158823680,158834016]),[]).
% 
% fof(thm25_2,plain,(element(A,sk1)|element(A,sk2(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET786-1.tptp',unknown),[]).
% 
% cnf(158830056,plain,(element(A,sk1)|element(A,sk2(A))),inference(rewrite,[status(thm)],[thm25_2]),[]).
% 
% cnf(171848648,plain,(element(sk1,sk2(sk1))),inference(forward_subsumption_resolution__resolution,[status(thm)],[158830056,158823680,158830056]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[171889568,171848648,158823680]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------