%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SET625+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 15:33:29 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 40 ( 18 ~; 16 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 18 ( 0 sgn 6 !; 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/SET625+3.tptp',unknown),
[] ).
cnf(151302704,plain,
( member(d_nn_1(A,B),B)
| ~ intersect(A,B) ),
inference(rewrite,[status(thm)],[intersect_defn]),
[] ).
fof(prove_th101,plain,
( intersect(b,c)
& subset(c,d)
& ~ intersect(b,d) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET625+3.tptp',unknown),
[] ).
cnf(151406784,plain,
intersect(b,c),
inference(rewrite,[status(thm)],[prove_th101]),
[] ).
cnf(164474536,plain,
member(d_nn_1(b,c),c),
inference(resolution,[status(thm)],[151302704,151406784]),
[] ).
fof(subset_defn,plain,
! [A,B,C] :
( ( ~ subset(A,B)
| ~ member(C,A)
| member(C,B) )
& ( ~ member(d(A,B,C),B)
| subset(A,B) )
& ( member(d(A,B,C),A)
| subset(A,B) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET625+3.tptp',unknown),
[] ).
cnf(151326552,plain,
( ~ subset(A,B)
| ~ member(C,A)
| member(C,B) ),
inference(rewrite,[status(thm)],[subset_defn]),
[] ).
cnf(151399760,plain,
subset(c,d),
inference(rewrite,[status(thm)],[prove_th101]),
[] ).
cnf(165226728,plain,
( ~ member(A,c)
| member(A,d) ),
inference(resolution,[status(thm)],[151326552,151399760]),
[] ).
cnf(151290488,plain,
( intersect(A,B)
| ~ member(D,A)
| ~ member(D,B) ),
inference(rewrite,[status(thm)],[intersect_defn]),
[] ).
cnf(151296976,plain,
( member(d_nn_1(A,B),A)
| ~ intersect(A,B) ),
inference(rewrite,[status(thm)],[intersect_defn]),
[] ).
cnf(164464968,plain,
member(d_nn_1(b,c),b),
inference(resolution,[status(thm)],[151296976,151406784]),
[] ).
cnf(164523720,plain,
( intersect(b,A)
| ~ member(d_nn_1(b,c),A) ),
inference(resolution,[status(thm)],[151290488,164464968]),
[] ).
cnf(151392376,plain,
~ intersect(b,d),
inference(rewrite,[status(thm)],[prove_th101]),
[] ).
cnf(164558400,plain,
~ member(d_nn_1(b,c),d),
inference(resolution,[status(thm)],[164523720,151392376]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[164474536,165226728,164558400]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 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/SET625+3.tptp',unknown),[]).
%
% cnf(151302704,plain,(member(d_nn_1(A,B),B)|~intersect(A,B)),inference(rewrite,[status(thm)],[intersect_defn]),[]).
%
% fof(prove_th101,plain,((intersect(b,c)&subset(c,d)&~intersect(b,d))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET625+3.tptp',unknown),[]).
%
% cnf(151406784,plain,(intersect(b,c)),inference(rewrite,[status(thm)],[prove_th101]),[]).
%
% cnf(164474536,plain,(member(d_nn_1(b,c),c)),inference(resolution,[status(thm)],[151302704,151406784]),[]).
%
% fof(subset_defn,plain,(((~subset(A,B)|~member(C,A)|member(C,B))&(~member(d(A,B,C),B)|subset(A,B))&(member(d(A,B,C),A)|subset(A,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET625+3.tptp',unknown),[]).
%
% cnf(151326552,plain,(~subset(A,B)|~member(C,A)|member(C,B)),inference(rewrite,[status(thm)],[subset_defn]),[]).
%
% cnf(151399760,plain,(subset(c,d)),inference(rewrite,[status(thm)],[prove_th101]),[]).
%
% cnf(165226728,plain,(~member(A,c)|member(A,d)),inference(resolution,[status(thm)],[151326552,151399760]),[]).
%
% cnf(151290488,plain,(intersect(A,B)|~member(D,A)|~member(D,B)),inference(rewrite,[status(thm)],[intersect_defn]),[]).
%
% cnf(151296976,plain,(member(d_nn_1(A,B),A)|~intersect(A,B)),inference(rewrite,[status(thm)],[intersect_defn]),[]).
%
% cnf(164464968,plain,(member(d_nn_1(b,c),b)),inference(resolution,[status(thm)],[151296976,151406784]),[]).
%
% cnf(164523720,plain,(intersect(b,A)|~member(d_nn_1(b,c),A)),inference(resolution,[status(thm)],[151290488,164464968]),[]).
%
% cnf(151392376,plain,(~intersect(b,d)),inference(rewrite,[status(thm)],[prove_th101]),[]).
%
% cnf(164558400,plain,(~member(d_nn_1(b,c),d)),inference(resolution,[status(thm)],[164523720,151392376]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[164474536,165226728,164558400]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------