%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SET875+1 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art01.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 15:40:14 EDT 2009
% Result : Theorem 0.0s
% Output : Refutation 0.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 41 ( 17 ~; 18 |; 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 : 15 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
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/SET875+1.tptp',unknown),
[] ).
cnf(157668744,plain,
( in(C,B)
| ~ $equal(A,C)
| ~ $equal(singleton(A),B) ),
inference(rewrite,[status(thm)],[d1_tarski]),
[] ).
cnf(168414048,plain,
in(A,singleton(A)),
inference(equality_resolution,[status(thm)],[157668744]),
[] ).
fof(l25_zfmisc_1,plain,
! [A,B] :
( ~ disjoint(singleton(A),B)
| ~ in(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET875+1.tptp',unknown),
[] ).
cnf(157679176,plain,
( ~ disjoint(singleton(A),B)
| ~ in(A,B) ),
inference(rewrite,[status(thm)],[l25_zfmisc_1]),
[] ).
fof(symmetry_r1_xboole_0,plain,
! [A,B] :
( ~ disjoint(A,B)
| disjoint(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET875+1.tptp',unknown),
[] ).
cnf(157694232,plain,
( ~ disjoint(A,B)
| disjoint(B,A) ),
inference(rewrite,[status(thm)],[symmetry_r1_xboole_0]),
[] ).
fof(t16_zfmisc_1,plain,
( disjoint(singleton(a),singleton(b))
& $equal(b,a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET875+1.tptp',unknown),
[] ).
cnf(157751688,plain,
disjoint(singleton(a),singleton(b)),
inference(rewrite,[status(thm)],[t16_zfmisc_1]),
[] ).
cnf(168209896,plain,
disjoint(singleton(b),singleton(a)),
inference(resolution,[status(thm)],[157694232,157751688]),
[] ).
cnf(157742688,plain,
$equal(b,a),
inference(rewrite,[status(thm)],[t16_zfmisc_1]),
[] ).
cnf(168267408,plain,
disjoint(singleton(b),singleton(b)),
inference(paramodulation,[status(thm)],[168209896,157742688,theory(equality)]),
[] ).
cnf(168299104,plain,
~ in(b,singleton(b)),
inference(resolution,[status(thm)],[157679176,168267408]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[168414048,168299104]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(d1_tarski,plain,(((in(C,B)|~$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)|$equal(singleton(A),B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET875+1.tptp',unknown),[]).
%
% cnf(157668744,plain,(in(C,B)|~$equal(A,C)|~$equal(singleton(A),B)),inference(rewrite,[status(thm)],[d1_tarski]),[]).
%
% cnf(168414048,plain,(in(A,singleton(A))),inference(equality_resolution,[status(thm)],[157668744]),[]).
%
% fof(l25_zfmisc_1,plain,(~disjoint(singleton(A),B)|~in(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET875+1.tptp',unknown),[]).
%
% cnf(157679176,plain,(~disjoint(singleton(A),B)|~in(A,B)),inference(rewrite,[status(thm)],[l25_zfmisc_1]),[]).
%
% fof(symmetry_r1_xboole_0,plain,(~disjoint(A,B)|disjoint(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET875+1.tptp',unknown),[]).
%
% cnf(157694232,plain,(~disjoint(A,B)|disjoint(B,A)),inference(rewrite,[status(thm)],[symmetry_r1_xboole_0]),[]).
%
% fof(t16_zfmisc_1,plain,((disjoint(singleton(a),singleton(b))&$equal(b,a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET875+1.tptp',unknown),[]).
%
% cnf(157751688,plain,(disjoint(singleton(a),singleton(b))),inference(rewrite,[status(thm)],[t16_zfmisc_1]),[]).
%
% cnf(168209896,plain,(disjoint(singleton(b),singleton(a))),inference(resolution,[status(thm)],[157694232,157751688]),[]).
%
% cnf(157742688,plain,($equal(b,a)),inference(rewrite,[status(thm)],[t16_zfmisc_1]),[]).
%
% cnf(168267408,plain,(disjoint(singleton(b),singleton(b))),inference(paramodulation,[status(thm)],[168209896,157742688,theory(equality)]),[]).
%
% cnf(168299104,plain,(~in(b,singleton(b))),inference(resolution,[status(thm)],[157679176,168267408]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[168414048,168299104]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------