%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SET575+3 : TPTP v3.4.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art09.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 15:31:28 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 4 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 28 ( 12 ~; 11 |; 5 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(intersect_defn,plain,
! [A,B,D] :
( ( member(d_nn_1(A,B),B)
| ~ intersect(A,B) )
& ( member(d_nn_1(A,B),A)
| ~ intersect(A,B) )
& ( intersect(A,B)
| ~ member(D,A)
| ~ member(D,B) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET575+3.tptp',unknown),
[] ).
cnf(143039824,plain,
( member(d_nn_1(A,B),B)
| ~ intersect(A,B) ),
inference(rewrite,[status(thm)],[intersect_defn]),
[] ).
fof(prove_th15,plain,
! [C] :
( ( intersect(b,c)
| ~ member(C,c) )
& ( ~ member(C,b)
| ~ member(C,c) )
& ( intersect(b,c)
| intersect(b,c) )
& ( ~ member(C,b)
| intersect(b,c) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET575+3.tptp',unknown),
[] ).
cnf(143130328,plain,
intersect(b,c),
inference(rewrite,[status(thm)],[prove_th15]),
[] ).
cnf(156188576,plain,
member(d_nn_1(b,c),c),
inference(resolution,[status(thm)],[143039824,143130328]),
[] ).
cnf(143148000,plain,
( ~ member(C,b)
| ~ member(C,c) ),
inference(rewrite,[status(thm)],[prove_th15]),
[] ).
cnf(143034144,plain,
( member(d_nn_1(A,B),A)
| ~ intersect(A,B) ),
inference(rewrite,[status(thm)],[intersect_defn]),
[] ).
cnf(156179040,plain,
member(d_nn_1(b,c),b),
inference(resolution,[status(thm)],[143034144,143130328]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[156188576,143148000,156179040]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(intersect_defn,plain,(((member(d_nn_1(A,B),B)|~intersect(A,B))&(member(d_nn_1(A,B),A)|~intersect(A,B))&(intersect(A,B)|~member(D,A)|~member(D,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET575+3.tptp',unknown),[]).
%
% cnf(143039824,plain,(member(d_nn_1(A,B),B)|~intersect(A,B)),inference(rewrite,[status(thm)],[intersect_defn]),[]).
%
% fof(prove_th15,plain,(((intersect(b,c)|~member(C,c))&(~member(C,b)|~member(C,c))&(intersect(b,c)|intersect(b,c))&(~member(C,b)|intersect(b,c)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET575+3.tptp',unknown),[]).
%
% cnf(143130328,plain,(intersect(b,c)),inference(rewrite,[status(thm)],[prove_th15]),[]).
%
% cnf(156188576,plain,(member(d_nn_1(b,c),c)),inference(resolution,[status(thm)],[143039824,143130328]),[]).
%
% cnf(143148000,plain,(~member(C,b)|~member(C,c)),inference(rewrite,[status(thm)],[prove_th15]),[]).
%
% cnf(143034144,plain,(member(d_nn_1(A,B),A)|~intersect(A,B)),inference(rewrite,[status(thm)],[intersect_defn]),[]).
%
% cnf(156179040,plain,(member(d_nn_1(b,c),b)),inference(resolution,[status(thm)],[143034144,143130328]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[156188576,143148000,156179040]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------