%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SET932+1 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art04.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 15:42:05 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 65 ( 27 ~; 30 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 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 : 33 ( 5 sgn 9 !; 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/SET932+1.tptp',unknown),
[] ).
cnf(150821624,plain,
( ~ in(C,B)
| subset(C,A)
| ~ $equal(powerset(A),B) ),
inference(rewrite,[status(thm)],[d1_zfmisc_1]),
[] ).
cnf(162419920,plain,
( ~ in(B,powerset(A))
| subset(B,A) ),
inference(equality_resolution,[status(thm)],[150821624]),
[] ).
fof(t1_xboole_1,plain,
! [A,B,C] :
( ~ subset(A,B)
| ~ subset(B,C)
| subset(A,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET932+1.tptp',unknown),
[] ).
cnf(150873328,plain,
( ~ subset(A,B)
| ~ subset(B,C)
| subset(A,C) ),
inference(rewrite,[status(thm)],[t1_xboole_1]),
[] ).
fof(t79_zfmisc_1,plain,
( subset(a,b)
& ~ subset(powerset(a),powerset(b)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET932+1.tptp',unknown),
[] ).
cnf(150933240,plain,
subset(a,b),
inference(rewrite,[status(thm)],[t79_zfmisc_1]),
[] ).
cnf(161431536,plain,
( ~ subset(A,a)
| subset(A,b) ),
inference(resolution,[status(thm)],[150873328,150933240]),
[] ).
cnf(162595584,plain,
( ~ in(A,powerset(a))
| subset(A,b) ),
inference(resolution,[status(thm)],[162419920,161431536]),
[] ).
fof(d3_tarski,plain,
! [A,B,C] :
( ( ~ subset(A,B)
| ~ in(C,A)
| in(C,B) )
& ( ~ in(c(A,B,C),B)
| subset(A,B) )
& ( in(c(A,B,C),A)
| subset(A,B) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET932+1.tptp',unknown),
[] ).
cnf(150835280,plain,
( in(c(A,B,C),A)
| subset(A,B) ),
inference(rewrite,[status(thm)],[d3_tarski]),
[] ).
cnf(150921680,plain,
~ subset(powerset(a),powerset(b)),
inference(rewrite,[status(thm)],[t79_zfmisc_1]),
[] ).
cnf(161475648,plain,
in(c(powerset(a),powerset(b),A),powerset(a)),
inference(resolution,[status(thm)],[150835280,150921680]),
[] ).
cnf(162800312,plain,
subset(c(powerset(a),powerset(b),A),b),
inference(resolution,[status(thm)],[162595584,161475648]),
[] ).
cnf(150829744,plain,
( in(C,B)
| ~ subset(C,A)
| ~ $equal(powerset(A),B) ),
inference(rewrite,[status(thm)],[d1_zfmisc_1]),
[] ).
cnf(163051248,plain,
( in(B,powerset(A))
| ~ subset(B,A) ),
inference(equality_resolution,[status(thm)],[150829744]),
[] ).
cnf(150841112,plain,
( ~ in(c(A,B,C),B)
| subset(A,B) ),
inference(rewrite,[status(thm)],[d3_tarski]),
[] ).
cnf(161488696,plain,
~ in(c(powerset(a),powerset(b),A),powerset(b)),
inference(resolution,[status(thm)],[150841112,150921680]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[162800312,163051248,161488696]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(d1_zfmisc_1,plain,(((in(C,B)|~subset(C,A)|~$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)|$equal(powerset(A),B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET932+1.tptp',unknown),[]).
%
% cnf(150821624,plain,(~in(C,B)|subset(C,A)|~$equal(powerset(A),B)),inference(rewrite,[status(thm)],[d1_zfmisc_1]),[]).
%
% cnf(162419920,plain,(~in(B,powerset(A))|subset(B,A)),inference(equality_resolution,[status(thm)],[150821624]),[]).
%
% fof(t1_xboole_1,plain,(~subset(A,B)|~subset(B,C)|subset(A,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET932+1.tptp',unknown),[]).
%
% cnf(150873328,plain,(~subset(A,B)|~subset(B,C)|subset(A,C)),inference(rewrite,[status(thm)],[t1_xboole_1]),[]).
%
% fof(t79_zfmisc_1,plain,((subset(a,b)&~subset(powerset(a),powerset(b)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET932+1.tptp',unknown),[]).
%
% cnf(150933240,plain,(subset(a,b)),inference(rewrite,[status(thm)],[t79_zfmisc_1]),[]).
%
% cnf(161431536,plain,(~subset(A,a)|subset(A,b)),inference(resolution,[status(thm)],[150873328,150933240]),[]).
%
% cnf(162595584,plain,(~in(A,powerset(a))|subset(A,b)),inference(resolution,[status(thm)],[162419920,161431536]),[]).
%
% fof(d3_tarski,plain,(((~subset(A,B)|~in(C,A)|in(C,B))&(~in(c(A,B,C),B)|subset(A,B))&(in(c(A,B,C),A)|subset(A,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET932+1.tptp',unknown),[]).
%
% cnf(150835280,plain,(in(c(A,B,C),A)|subset(A,B)),inference(rewrite,[status(thm)],[d3_tarski]),[]).
%
% cnf(150921680,plain,(~subset(powerset(a),powerset(b))),inference(rewrite,[status(thm)],[t79_zfmisc_1]),[]).
%
% cnf(161475648,plain,(in(c(powerset(a),powerset(b),A),powerset(a))),inference(resolution,[status(thm)],[150835280,150921680]),[]).
%
% cnf(162800312,plain,(subset(c(powerset(a),powerset(b),A),b)),inference(resolution,[status(thm)],[162595584,161475648]),[]).
%
% cnf(150829744,plain,(in(C,B)|~subset(C,A)|~$equal(powerset(A),B)),inference(rewrite,[status(thm)],[d1_zfmisc_1]),[]).
%
% cnf(163051248,plain,(in(B,powerset(A))|~subset(B,A)),inference(equality_resolution,[status(thm)],[150829744]),[]).
%
% cnf(150841112,plain,(~in(c(A,B,C),B)|subset(A,B)),inference(rewrite,[status(thm)],[d3_tarski]),[]).
%
% cnf(161488696,plain,(~in(c(powerset(a),powerset(b),A),powerset(b))),inference(resolution,[status(thm)],[150841112,150921680]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[162800312,163051248,161488696]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------