%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SET045-5 : TPTP v3.4.2. Released v1.0.0.
% 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 15:25:24 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    :    8 (   4 unt;   0 def)
%            Number of atoms       :   14 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   13 (   7   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   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   :   11 (   2 sgn   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_3,plain,
    ! [A,B] :
      ( ~ element(A,B)
      | element(A,A)
      | element(A,f(B)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET045-5.tptp',unknown),
    [] ).

cnf(165404432,plain,
    ( ~ element(A,B)
    | element(A,A)
    | element(A,f(B)) ),
    inference(rewrite,[status(thm)],[clause_3]),
    [] ).

fof(clause_2,plain,
    ! [A,B] :
      ( ~ element(A,f(B))
      | ~ element(A,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET045-5.tptp',unknown),
    [] ).

cnf(165397288,plain,
    ( ~ element(A,f(B))
    | ~ element(A,A) ),
    inference(rewrite,[status(thm)],[clause_2]),
    [] ).

cnf(173307040,plain,
    ~ element(f(A),A),
    inference(resolution,[status(thm)],[165404432,165397288]),
    [] ).

fof(clause_4,plain,
    ! [A] : element(A,a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET045-5.tptp',unknown),
    [] ).

cnf(165408872,plain,
    element(A,a),
    inference(rewrite,[status(thm)],[clause_4]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[173307040,165408872]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_3,plain,(~element(A,B)|element(A,A)|element(A,f(B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET045-5.tptp',unknown),[]).
% 
% cnf(165404432,plain,(~element(A,B)|element(A,A)|element(A,f(B))),inference(rewrite,[status(thm)],[clause_3]),[]).
% 
% fof(clause_2,plain,(~element(A,f(B))|~element(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET045-5.tptp',unknown),[]).
% 
% cnf(165397288,plain,(~element(A,f(B))|~element(A,A)),inference(rewrite,[status(thm)],[clause_2]),[]).
% 
% cnf(173307040,plain,(~element(f(A),A)),inference(resolution,[status(thm)],[165404432,165397288]),[]).
% 
% fof(clause_4,plain,(element(A,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET045-5.tptp',unknown),[]).
% 
% cnf(165408872,plain,(element(A,a)),inference(rewrite,[status(thm)],[clause_4]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[173307040,165408872]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------