%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SEU116+1 : TPTP v3.4.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art06.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 15:46:04 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       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   4   ~;   2   |;   1   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    4 (   1 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(t30_finsub_1,plain,
    ( element(b,finite_subsets(a))
    & ~ finite(b) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SEU/SEU116+1.tptp',unknown),
    [] ).

cnf(151597680,plain,
    ~ finite(b),
    inference(rewrite,[status(thm)],[t30_finsub_1]),
    [] ).

fof(cc3_finsub_1,plain,
    ! [B,A] :
      ( ~ element(B,finite_subsets(A))
      | finite(B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SEU/SEU116+1.tptp',unknown),
    [] ).

cnf(151302128,plain,
    ( ~ element(B,finite_subsets(A))
    | finite(B) ),
    inference(rewrite,[status(thm)],[cc3_finsub_1]),
    [] ).

cnf(151609616,plain,
    element(b,finite_subsets(a)),
    inference(rewrite,[status(thm)],[t30_finsub_1]),
    [] ).

cnf(162819056,plain,
    finite(b),
    inference(resolution,[status(thm)],[151302128,151609616]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[151597680,162819056]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(t30_finsub_1,plain,((element(b,finite_subsets(a))&~finite(b))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SEU/SEU116+1.tptp',unknown),[]).
% 
% cnf(151597680,plain,(~finite(b)),inference(rewrite,[status(thm)],[t30_finsub_1]),[]).
% 
% fof(cc3_finsub_1,plain,(~element(B,finite_subsets(A))|finite(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SEU/SEU116+1.tptp',unknown),[]).
% 
% cnf(151302128,plain,(~element(B,finite_subsets(A))|finite(B)),inference(rewrite,[status(thm)],[cc3_finsub_1]),[]).
% 
% cnf(151609616,plain,(element(b,finite_subsets(a))),inference(rewrite,[status(thm)],[t30_finsub_1]),[]).
% 
% cnf(162819056,plain,(finite(b)),inference(resolution,[status(thm)],[151302128,151609616]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[151597680,162819056]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------