%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SET899+1 : TPTP v3.4.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art03.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 15:40:55 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    :    8 (   5 unt;   0 def)
%            Number of atoms       :   14 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   12 (   6   ~;   4   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(t40_zfmisc_1,plain,
    ( subset(a,b)
    & ~ in(c,a)
    & ~ subset(a,set_difference(b,singleton(c))) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET899+1.tptp',unknown),
    [] ).

cnf(147859384,plain,
    ~ in(c,a),
    inference(rewrite,[status(thm)],[t40_zfmisc_1]),
    [] ).

cnf(147866656,plain,
    subset(a,b),
    inference(rewrite,[status(thm)],[t40_zfmisc_1]),
    [] ).

fof(l3_zfmisc_1,plain,
    ! [A,B,C] :
      ( ~ subset(A,B)
      | in(C,A)
      | subset(A,set_difference(B,singleton(C))) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET899+1.tptp',unknown),
    [] ).

cnf(147873848,plain,
    ( ~ subset(A,B)
    | in(C,A)
    | subset(A,set_difference(B,singleton(C))) ),
    inference(rewrite,[status(thm)],[l3_zfmisc_1]),
    [] ).

cnf(147847864,plain,
    ~ subset(a,set_difference(b,singleton(c))),
    inference(rewrite,[status(thm)],[t40_zfmisc_1]),
    [] ).

cnf(160971800,plain,
    in(c,a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[147866656,147873848,147847864]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[147859384,160971800]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(t40_zfmisc_1,plain,((subset(a,b)&~in(c,a)&~subset(a,set_difference(b,singleton(c))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET899+1.tptp',unknown),[]).
% 
% cnf(147859384,plain,(~in(c,a)),inference(rewrite,[status(thm)],[t40_zfmisc_1]),[]).
% 
% cnf(147866656,plain,(subset(a,b)),inference(rewrite,[status(thm)],[t40_zfmisc_1]),[]).
% 
% fof(l3_zfmisc_1,plain,(~subset(A,B)|in(C,A)|subset(A,set_difference(B,singleton(C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET899+1.tptp',unknown),[]).
% 
% cnf(147873848,plain,(~subset(A,B)|in(C,A)|subset(A,set_difference(B,singleton(C)))),inference(rewrite,[status(thm)],[l3_zfmisc_1]),[]).
% 
% cnf(147847864,plain,(~subset(a,set_difference(b,singleton(c)))),inference(rewrite,[status(thm)],[t40_zfmisc_1]),[]).
% 
% cnf(160971800,plain,(in(c,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[147866656,147873848,147847864]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[147859384,160971800]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------