TSTP Solution File: SET631+3 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SET631+3 : TPTP v3.4.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art10.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 15:33:48 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 36 ( 17 ~; 14 |; 5 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 1 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(difference_defn,plain,
! [C,B,A] :
( ( ~ member(C,B)
| ~ member(C,difference(A,B)) )
& ( member(C,A)
| ~ member(C,difference(A,B)) )
& ( member(C,difference(A,B))
| ~ member(C,A)
| member(C,B) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET631+3.tptp',unknown),
[] ).
cnf(173963336,plain,
( member(C,A)
| ~ member(C,difference(A,B)) ),
inference(rewrite,[status(thm)],[difference_defn]),
[] ).
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/SET631+3.tptp',unknown),
[] ).
cnf(173988640,plain,
( member(d_nn_1(A,B),B)
| ~ intersect(A,B) ),
inference(rewrite,[status(thm)],[intersect_defn]),
[] ).
fof(prove_th113,plain,
( intersect(b,difference(c,d))
& ~ intersect(b,c) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET631+3.tptp',unknown),
[] ).
cnf(174059104,plain,
intersect(b,difference(c,d)),
inference(rewrite,[status(thm)],[prove_th113]),
[] ).
cnf(184516792,plain,
member(d_nn_1(b,difference(c,d)),difference(c,d)),
inference(resolution,[status(thm)],[173988640,174059104]),
[] ).
cnf(184567368,plain,
member(d_nn_1(b,difference(c,d)),c),
inference(resolution,[status(thm)],[173963336,184516792]),
[] ).
cnf(173977512,plain,
( intersect(A,B)
| ~ member(D,A)
| ~ member(D,B) ),
inference(rewrite,[status(thm)],[intersect_defn]),
[] ).
cnf(174047776,plain,
~ intersect(b,c),
inference(rewrite,[status(thm)],[prove_th113]),
[] ).
cnf(184489648,plain,
( ~ member(B,b)
| ~ member(B,c) ),
inference(resolution,[status(thm)],[173977512,174047776]),
[] ).
cnf(173982992,plain,
( member(d_nn_1(A,B),A)
| ~ intersect(A,B) ),
inference(rewrite,[status(thm)],[intersect_defn]),
[] ).
cnf(184507224,plain,
member(d_nn_1(b,difference(c,d)),b),
inference(resolution,[status(thm)],[173982992,174059104]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[184567368,184489648,184507224]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(difference_defn,plain,(((~member(C,B)|~member(C,difference(A,B)))&(member(C,A)|~member(C,difference(A,B)))&(member(C,difference(A,B))|~member(C,A)|member(C,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET631+3.tptp',unknown),[]).
%
% cnf(173963336,plain,(member(C,A)|~member(C,difference(A,B))),inference(rewrite,[status(thm)],[difference_defn]),[]).
%
% 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/SET631+3.tptp',unknown),[]).
%
% cnf(173988640,plain,(member(d_nn_1(A,B),B)|~intersect(A,B)),inference(rewrite,[status(thm)],[intersect_defn]),[]).
%
% fof(prove_th113,plain,((intersect(b,difference(c,d))&~intersect(b,c))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET631+3.tptp',unknown),[]).
%
% cnf(174059104,plain,(intersect(b,difference(c,d))),inference(rewrite,[status(thm)],[prove_th113]),[]).
%
% cnf(184516792,plain,(member(d_nn_1(b,difference(c,d)),difference(c,d))),inference(resolution,[status(thm)],[173988640,174059104]),[]).
%
% cnf(184567368,plain,(member(d_nn_1(b,difference(c,d)),c)),inference(resolution,[status(thm)],[173963336,184516792]),[]).
%
% cnf(173977512,plain,(intersect(A,B)|~member(D,A)|~member(D,B)),inference(rewrite,[status(thm)],[intersect_defn]),[]).
%
% cnf(174047776,plain,(~intersect(b,c)),inference(rewrite,[status(thm)],[prove_th113]),[]).
%
% cnf(184489648,plain,(~member(B,b)|~member(B,c)),inference(resolution,[status(thm)],[173977512,174047776]),[]).
%
% cnf(173982992,plain,(member(d_nn_1(A,B),A)|~intersect(A,B)),inference(rewrite,[status(thm)],[intersect_defn]),[]).
%
% cnf(184507224,plain,(member(d_nn_1(b,difference(c,d)),b)),inference(resolution,[status(thm)],[173982992,174059104]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[184567368,184489648,184507224]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------