%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SET818-2 : TPTP v3.4.2. Released v3.2.0.
% 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 15:37:52 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    5 (   5 unt;   0 def)
%            Number of atoms       :    5 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    6 (   2 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Set_OemptyE_0,plain,
    ! [A,B] : ~ c_in(A,c_emptyset,B),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET818-2.tptp',unknown),
    [] ).

cnf(143346200,plain,
    ~ c_in(A,c_emptyset,B),
    inference(rewrite,[status(thm)],[cls_Set_OemptyE_0]),
    [] ).

fof(cls_conjecture_0,plain,
    ! [A] : c_in(v_x(A),A,tc_intdef_oint),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET818-2.tptp',unknown),
    [] ).

cnf(143350936,plain,
    c_in(v_x(A),A,tc_intdef_oint),
    inference(rewrite,[status(thm)],[cls_conjecture_0]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[143346200,143350936]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_Set_OemptyE_0,plain,(~c_in(A,c_emptyset,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET818-2.tptp',unknown),[]).
% 
% cnf(143346200,plain,(~c_in(A,c_emptyset,B)),inference(rewrite,[status(thm)],[cls_Set_OemptyE_0]),[]).
% 
% fof(cls_conjecture_0,plain,(c_in(v_x(A),A,tc_intdef_oint)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET818-2.tptp',unknown),[]).
% 
% cnf(143350936,plain,(c_in(v_x(A),A,tc_intdef_oint)),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[143346200,143350936]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------