%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SET883+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 15:40:34 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 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(t24_zfmisc_1,plain,
( subset(singleton(a),singleton(b))
& ~ $equal(b,a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET883+1.tptp',unknown),
[] ).
cnf(165735256,plain,
~ $equal(b,a),
inference(rewrite,[status(thm)],[t24_zfmisc_1]),
[] ).
fof(t6_zfmisc_1,plain,
! [A,B] :
( ~ subset(singleton(A),singleton(B))
| $equal(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET883+1.tptp',unknown),
[] ).
cnf(165754000,plain,
( ~ subset(singleton(A),singleton(B))
| $equal(B,A) ),
inference(rewrite,[status(thm)],[t6_zfmisc_1]),
[] ).
cnf(165742760,plain,
subset(singleton(a),singleton(b)),
inference(rewrite,[status(thm)],[t24_zfmisc_1]),
[] ).
cnf(176170648,plain,
$equal(b,a),
inference(resolution,[status(thm)],[165754000,165742760]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[165735256,176170648]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(t24_zfmisc_1,plain,((subset(singleton(a),singleton(b))&~$equal(b,a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET883+1.tptp',unknown),[]).
%
% cnf(165735256,plain,(~$equal(b,a)),inference(rewrite,[status(thm)],[t24_zfmisc_1]),[]).
%
% fof(t6_zfmisc_1,plain,(~subset(singleton(A),singleton(B))|$equal(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET883+1.tptp',unknown),[]).
%
% cnf(165754000,plain,(~subset(singleton(A),singleton(B))|$equal(B,A)),inference(rewrite,[status(thm)],[t6_zfmisc_1]),[]).
%
% cnf(165742760,plain,(subset(singleton(a),singleton(b))),inference(rewrite,[status(thm)],[t24_zfmisc_1]),[]).
%
% cnf(176170648,plain,($equal(b,a)),inference(resolution,[status(thm)],[165754000,165742760]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[165735256,176170648]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------