%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SET045+1 : TPTP v3.4.2. Released v2.0.0.
% 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 15:25:22 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   4 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   17 (   8   ~;   7   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   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   :    9 (   2 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(pel41_1,plain,
    ! [C,A] :
      ( ( ~ element(C,C)
        | ~ element(C,y(A)) )
      & ( element(C,A)
        | ~ element(C,y(A)) )
      & ( element(C,y(A))
        | ~ element(C,A)
        | element(C,C) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET045+1.tptp',unknown),
    [] ).

cnf(154451360,plain,
    ( element(C,y(A))
    | ~ element(C,A)
    | element(C,C) ),
    inference(rewrite,[status(thm)],[pel41_1]),
    [] ).

cnf(154471632,plain,
    ( ~ element(C,C)
    | ~ element(C,y(A)) ),
    inference(rewrite,[status(thm)],[pel41_1]),
    [] ).

cnf(162427616,plain,
    ~ element(y(A),A),
    inference(resolution,[status(thm)],[154451360,154471632]),
    [] ).

fof(pel41,plain,
    ! [B] : element(B,z),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET045+1.tptp',unknown),
    [] ).

cnf(154493360,plain,
    element(B,z),
    inference(rewrite,[status(thm)],[pel41]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[162427616,154493360]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(pel41_1,plain,(((~element(C,C)|~element(C,y(A)))&(element(C,A)|~element(C,y(A)))&(element(C,y(A))|~element(C,A)|element(C,C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET045+1.tptp',unknown),[]).
% 
% cnf(154451360,plain,(element(C,y(A))|~element(C,A)|element(C,C)),inference(rewrite,[status(thm)],[pel41_1]),[]).
% 
% cnf(154471632,plain,(~element(C,C)|~element(C,y(A))),inference(rewrite,[status(thm)],[pel41_1]),[]).
% 
% cnf(162427616,plain,(~element(y(A),A)),inference(resolution,[status(thm)],[154451360,154471632]),[]).
% 
% fof(pel41,plain,(element(B,z)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET045+1.tptp',unknown),[]).
% 
% cnf(154493360,plain,(element(B,z)),inference(rewrite,[status(thm)],[pel41]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[162427616,154493360]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------