%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SET581+3 : TPTP v3.4.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.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 15:31:44 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 58 ( 24 ~; 24 |; 10 &)
% ( 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 : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 20 ( 2 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(intersection_defn,plain,
! [C,B,A] :
( ( member(C,B)
| ~ member(C,intersection(A,B)) )
& ( member(C,A)
| ~ member(C,intersection(A,B)) )
& ( member(C,intersection(A,B))
| ~ member(C,A)
| ~ member(C,B) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET581+3.tptp',unknown),
[] ).
cnf(168298304,plain,
( member(C,intersection(A,B))
| ~ member(C,A)
| ~ member(C,B) ),
inference(rewrite,[status(thm)],[intersection_defn]),
[] ).
fof(prove_th24,plain,
( member(b,c)
& member(b,d)
& ~ not_equal(intersection(c,d),empty_set) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET581+3.tptp',unknown),
[] ).
cnf(168463576,plain,
member(b,d),
inference(rewrite,[status(thm)],[prove_th24]),
[] ).
cnf(181635592,plain,
( member(b,intersection(A,d))
| ~ member(b,A) ),
inference(resolution,[status(thm)],[168298304,168463576]),
[] ).
cnf(168470848,plain,
member(b,c),
inference(rewrite,[status(thm)],[prove_th24]),
[] ).
cnf(181661672,plain,
member(b,intersection(c,d)),
inference(resolution,[status(thm)],[181635592,168470848]),
[] ).
fof(empty_set_defn,plain,
! [A] : ~ member(A,empty_set),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET581+3.tptp',unknown),
[] ).
cnf(168316680,plain,
~ member(A,empty_set),
inference(rewrite,[status(thm)],[empty_set_defn]),
[] ).
fof(equal_member_defn,plain,
! [C,A,B] :
( ( member(C,A)
| ~ member(C,B)
| ~ $equal(B,A) )
& ( ~ member(C,A)
| member(C,B)
| ~ $equal(B,A) )
& ( member(d(A,B,C),B)
| ~ member(d(A,B,C),B)
| $equal(B,A) )
& ( ~ member(d(A,B,C),A)
| ~ member(d(A,B,C),B)
| $equal(B,A) )
& ( member(d(A,B,C),B)
| member(d(A,B,C),A)
| $equal(B,A) )
& ( ~ member(d(A,B,C),A)
| member(d(A,B,C),A)
| $equal(B,A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET581+3.tptp',unknown),
[] ).
cnf(168350632,plain,
( ~ member(C,A)
| member(C,B)
| ~ $equal(B,A) ),
inference(rewrite,[status(thm)],[equal_member_defn]),
[] ).
fof(not_equal_defn,plain,
! [A,B] :
( ( ~ not_equal(A,B)
| ~ $equal(B,A) )
& ( not_equal(A,B)
| $equal(B,A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET581+3.tptp',unknown),
[] ).
cnf(168362304,plain,
( not_equal(A,B)
| $equal(B,A) ),
inference(rewrite,[status(thm)],[not_equal_defn]),
[] ).
cnf(168452024,plain,
~ not_equal(intersection(c,d),empty_set),
inference(rewrite,[status(thm)],[prove_th24]),
[] ).
cnf(182017928,plain,
$equal(empty_set,intersection(c,d)),
inference(resolution,[status(thm)],[168362304,168452024]),
[] ).
cnf(182033176,plain,
~ member(A,intersection(c,d)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[168316680,168350632,182017928]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[181661672,182033176]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(intersection_defn,plain,(((member(C,B)|~member(C,intersection(A,B)))&(member(C,A)|~member(C,intersection(A,B)))&(member(C,intersection(A,B))|~member(C,A)|~member(C,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET581+3.tptp',unknown),[]).
%
% cnf(168298304,plain,(member(C,intersection(A,B))|~member(C,A)|~member(C,B)),inference(rewrite,[status(thm)],[intersection_defn]),[]).
%
% fof(prove_th24,plain,((member(b,c)&member(b,d)&~not_equal(intersection(c,d),empty_set))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET581+3.tptp',unknown),[]).
%
% cnf(168463576,plain,(member(b,d)),inference(rewrite,[status(thm)],[prove_th24]),[]).
%
% cnf(181635592,plain,(member(b,intersection(A,d))|~member(b,A)),inference(resolution,[status(thm)],[168298304,168463576]),[]).
%
% cnf(168470848,plain,(member(b,c)),inference(rewrite,[status(thm)],[prove_th24]),[]).
%
% cnf(181661672,plain,(member(b,intersection(c,d))),inference(resolution,[status(thm)],[181635592,168470848]),[]).
%
% fof(empty_set_defn,plain,(~member(A,empty_set)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET581+3.tptp',unknown),[]).
%
% cnf(168316680,plain,(~member(A,empty_set)),inference(rewrite,[status(thm)],[empty_set_defn]),[]).
%
% fof(equal_member_defn,plain,(((member(C,A)|~member(C,B)|~$equal(B,A))&(~member(C,A)|member(C,B)|~$equal(B,A))&(member(d(A,B,C),B)|~member(d(A,B,C),B)|$equal(B,A))&(~member(d(A,B,C),A)|~member(d(A,B,C),B)|$equal(B,A))&(member(d(A,B,C),B)|member(d(A,B,C),A)|$equal(B,A))&(~member(d(A,B,C),A)|member(d(A,B,C),A)|$equal(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET581+3.tptp',unknown),[]).
%
% cnf(168350632,plain,(~member(C,A)|member(C,B)|~$equal(B,A)),inference(rewrite,[status(thm)],[equal_member_defn]),[]).
%
% fof(not_equal_defn,plain,(((~not_equal(A,B)|~$equal(B,A))&(not_equal(A,B)|$equal(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET581+3.tptp',unknown),[]).
%
% cnf(168362304,plain,(not_equal(A,B)|$equal(B,A)),inference(rewrite,[status(thm)],[not_equal_defn]),[]).
%
% cnf(168452024,plain,(~not_equal(intersection(c,d),empty_set)),inference(rewrite,[status(thm)],[prove_th24]),[]).
%
% cnf(182017928,plain,($equal(empty_set,intersection(c,d))),inference(resolution,[status(thm)],[168362304,168452024]),[]).
%
% cnf(182033176,plain,(~member(A,intersection(c,d))),inference(forward_subsumption_resolution__resolution,[status(thm)],[168316680,168350632,182017928]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[181661672,182033176]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------