%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SET876+1 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art02.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 15:40:16 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 38 ( 15 ~; 17 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-3 aty)
% Number of variables : 12 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(l28_zfmisc_1,plain,
! [A,B] :
( in(A,B)
| disjoint(singleton(A),B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET876+1.tptp',unknown),
[] ).
cnf(160597856,plain,
( in(A,B)
| disjoint(singleton(A),B) ),
inference(rewrite,[status(thm)],[l28_zfmisc_1]),
[] ).
fof(t17_zfmisc_1,plain,
( ~ $equal(b,a)
& ~ disjoint(singleton(a),singleton(b)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET876+1.tptp',unknown),
[] ).
cnf(160674560,plain,
~ disjoint(singleton(a),singleton(b)),
inference(rewrite,[status(thm)],[t17_zfmisc_1]),
[] ).
cnf(171146848,plain,
in(a,singleton(b)),
inference(resolution,[status(thm)],[160597856,160674560]),
[] ).
fof(d1_tarski,plain,
! [C,B,A] :
( ( in(C,B)
| ~ $equal(A,C)
| ~ $equal(singleton(A),B) )
& ( ~ in(C,B)
| $equal(A,C)
| ~ $equal(singleton(A),B) )
& ( $equal(c(A,B,C),A)
| ~ $equal(c(A,B,C),A)
| $equal(singleton(A),B) )
& ( ~ in(c(A,B,C),B)
| ~ $equal(c(A,B,C),A)
| $equal(singleton(A),B) )
& ( $equal(c(A,B,C),A)
| in(c(A,B,C),B)
| $equal(singleton(A),B) )
& ( ~ in(c(A,B,C),B)
| in(c(A,B,C),B)
| $equal(singleton(A),B) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET876+1.tptp',unknown),
[] ).
cnf(160581248,plain,
( ~ in(C,B)
| $equal(A,C)
| ~ $equal(singleton(A),B) ),
inference(rewrite,[status(thm)],[d1_tarski]),
[] ).
cnf(171421480,plain,
( ~ in(B,singleton(A))
| $equal(A,B) ),
inference(equality_resolution,[status(thm)],[160581248]),
[] ).
cnf(160683720,plain,
~ $equal(b,a),
inference(rewrite,[status(thm)],[t17_zfmisc_1]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[171146848,171421480,160683720]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(l28_zfmisc_1,plain,(in(A,B)|disjoint(singleton(A),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET876+1.tptp',unknown),[]).
%
% cnf(160597856,plain,(in(A,B)|disjoint(singleton(A),B)),inference(rewrite,[status(thm)],[l28_zfmisc_1]),[]).
%
% fof(t17_zfmisc_1,plain,((~$equal(b,a)&~disjoint(singleton(a),singleton(b)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET876+1.tptp',unknown),[]).
%
% cnf(160674560,plain,(~disjoint(singleton(a),singleton(b))),inference(rewrite,[status(thm)],[t17_zfmisc_1]),[]).
%
% cnf(171146848,plain,(in(a,singleton(b))),inference(resolution,[status(thm)],[160597856,160674560]),[]).
%
% fof(d1_tarski,plain,(((in(C,B)|~$equal(A,C)|~$equal(singleton(A),B))&(~in(C,B)|$equal(A,C)|~$equal(singleton(A),B))&($equal(c(A,B,C),A)|~$equal(c(A,B,C),A)|$equal(singleton(A),B))&(~in(c(A,B,C),B)|~$equal(c(A,B,C),A)|$equal(singleton(A),B))&($equal(c(A,B,C),A)|in(c(A,B,C),B)|$equal(singleton(A),B))&(~in(c(A,B,C),B)|in(c(A,B,C),B)|$equal(singleton(A),B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET876+1.tptp',unknown),[]).
%
% cnf(160581248,plain,(~in(C,B)|$equal(A,C)|~$equal(singleton(A),B)),inference(rewrite,[status(thm)],[d1_tarski]),[]).
%
% cnf(171421480,plain,(~in(B,singleton(A))|$equal(A,B)),inference(equality_resolution,[status(thm)],[160581248]),[]).
%
% cnf(160683720,plain,(~$equal(b,a)),inference(rewrite,[status(thm)],[t17_zfmisc_1]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[171146848,171421480,160683720]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------