%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SET933+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 15:42:07 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 18 ( 3 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; 1 con; 0-3 aty)
% Number of variables : 15 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(d1_zfmisc_1,plain,
! [C,B,A] :
( ( in(C,B)
| ~ subset(C,A)
| ~ $equal(powerset(A),B) )
& ( ~ in(C,B)
| subset(C,A)
| ~ $equal(powerset(A),B) )
& ( subset(c(A,B,C),A)
| ~ subset(c(A,B,C),A)
| $equal(powerset(A),B) )
& ( ~ in(c(A,B,C),B)
| ~ subset(c(A,B,C),A)
| $equal(powerset(A),B) )
& ( subset(c(A,B,C),A)
| in(c(A,B,C),B)
| $equal(powerset(A),B) )
& ( ~ in(c(A,B,C),B)
| in(c(A,B,C),B)
| $equal(powerset(A),B) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET933+1.tptp',unknown),
[] ).
cnf(167085000,plain,
( in(C,B)
| ~ subset(C,A)
| ~ $equal(powerset(A),B) ),
inference(rewrite,[status(thm)],[d1_zfmisc_1]),
[] ).
fof(reflexivity_r1_tarski,plain,
! [A] : subset(A,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET933+1.tptp',unknown),
[] ).
cnf(167034408,plain,
subset(A,A),
inference(rewrite,[status(thm)],[reflexivity_r1_tarski]),
[] ).
cnf(174954472,plain,
( in(A,B)
| ~ $equal(powerset(A),B) ),
inference(resolution,[status(thm)],[167085000,167034408]),
[] ).
cnf(176096320,plain,
in(A,powerset(A)),
inference(equality_resolution,[status(thm)],[174954472]),
[] ).
fof(l2_zfmisc_1,plain,
! [A,B] :
( ( ~ subset(singleton(A),B)
| in(A,B) )
& ( subset(singleton(A),B)
| ~ in(A,B) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET933+1.tptp',unknown),
[] ).
cnf(167090496,plain,
( subset(singleton(A),B)
| ~ in(A,B) ),
inference(rewrite,[status(thm)],[l2_zfmisc_1]),
[] ).
fof(t80_zfmisc_1,plain,
~ subset(singleton(a),powerset(a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET933+1.tptp',unknown),
[] ).
cnf(167143248,plain,
~ subset(singleton(a),powerset(a)),
inference(rewrite,[status(thm)],[t80_zfmisc_1]),
[] ).
cnf(175040944,plain,
~ in(a,powerset(a)),
inference(resolution,[status(thm)],[167090496,167143248]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[176096320,175040944]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(d1_zfmisc_1,plain,(((in(C,B)|~subset(C,A)|~$equal(powerset(A),B))&(~in(C,B)|subset(C,A)|~$equal(powerset(A),B))&(subset(c(A,B,C),A)|~subset(c(A,B,C),A)|$equal(powerset(A),B))&(~in(c(A,B,C),B)|~subset(c(A,B,C),A)|$equal(powerset(A),B))&(subset(c(A,B,C),A)|in(c(A,B,C),B)|$equal(powerset(A),B))&(~in(c(A,B,C),B)|in(c(A,B,C),B)|$equal(powerset(A),B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET933+1.tptp',unknown),[]).
%
% cnf(167085000,plain,(in(C,B)|~subset(C,A)|~$equal(powerset(A),B)),inference(rewrite,[status(thm)],[d1_zfmisc_1]),[]).
%
% fof(reflexivity_r1_tarski,plain,(subset(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET933+1.tptp',unknown),[]).
%
% cnf(167034408,plain,(subset(A,A)),inference(rewrite,[status(thm)],[reflexivity_r1_tarski]),[]).
%
% cnf(174954472,plain,(in(A,B)|~$equal(powerset(A),B)),inference(resolution,[status(thm)],[167085000,167034408]),[]).
%
% cnf(176096320,plain,(in(A,powerset(A))),inference(equality_resolution,[status(thm)],[174954472]),[]).
%
% fof(l2_zfmisc_1,plain,(((~subset(singleton(A),B)|in(A,B))&(subset(singleton(A),B)|~in(A,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET933+1.tptp',unknown),[]).
%
% cnf(167090496,plain,(subset(singleton(A),B)|~in(A,B)),inference(rewrite,[status(thm)],[l2_zfmisc_1]),[]).
%
% fof(t80_zfmisc_1,plain,(~subset(singleton(a),powerset(a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET933+1.tptp',unknown),[]).
%
% cnf(167143248,plain,(~subset(singleton(a),powerset(a))),inference(rewrite,[status(thm)],[t80_zfmisc_1]),[]).
%
% cnf(175040944,plain,(~in(a,powerset(a))),inference(resolution,[status(thm)],[167090496,167143248]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[176096320,175040944]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------