TSTP Solution File: SET974+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SET974+1 : TPTP v3.4.2. Released v3.2.0.
% 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 15:43:05 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 41 ( 19 ~; 16 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-5 aty)
% Number of variables : 30 ( 8 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(t104_zfmisc_1,plain,
! [A,B,C,D,E] :
( ( in(f(A,B,C,D,E),set_intersection2(B,D))
| ~ in(A,set_intersection2(cartesian_product2(B,C),cartesian_product2(D,E))) )
& ( in(g(A,B,C,D,E),set_intersection2(C,E))
| ~ in(A,set_intersection2(cartesian_product2(B,C),cartesian_product2(D,E))) )
& ( $equal(ordered_pair(f(A,B,C,D,E),g(A,B,C,D,E)),A)
| ~ in(A,set_intersection2(cartesian_product2(B,C),cartesian_product2(D,E))) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET974+1.tptp',unknown),
[] ).
cnf(142763240,plain,
( in(f(A,B,C,D,E),set_intersection2(B,D))
| ~ in(A,set_intersection2(cartesian_product2(B,C),cartesian_product2(D,E))) ),
inference(rewrite,[status(thm)],[t104_zfmisc_1]),
[] ).
cnf(142757440,plain,
( in(g(A,B,C,D,E),set_intersection2(C,E))
| ~ in(A,set_intersection2(cartesian_product2(B,C),cartesian_product2(D,E))) ),
inference(rewrite,[status(thm)],[t104_zfmisc_1]),
[] ).
fof(t4_xboole_0,plain,
! [A,B,D] :
( ( disjoint(A,B)
| in(c_nn_1(A,B),set_intersection2(A,B)) )
& ( ~ in(D,set_intersection2(A,B))
| ~ disjoint(A,B) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET974+1.tptp',unknown),
[] ).
cnf(142888504,plain,
( disjoint(A,B)
| in(c_nn_1(A,B),set_intersection2(A,B)) ),
inference(rewrite,[status(thm)],[t4_xboole_0]),
[] ).
fof(t127_zfmisc_1,plain,
( ( ~ disjoint(cartesian_product2(a,c),cartesian_product2(b,d))
| disjoint(a,b) )
& ( disjoint(c,d)
| disjoint(a,b) )
& ( ~ disjoint(cartesian_product2(a,c),cartesian_product2(b,d))
| ~ disjoint(cartesian_product2(a,c),cartesian_product2(b,d)) )
& ( disjoint(c,d)
| ~ disjoint(cartesian_product2(a,c),cartesian_product2(b,d)) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET974+1.tptp',unknown),
[] ).
cnf(142856424,plain,
~ disjoint(cartesian_product2(a,c),cartesian_product2(b,d)),
inference(rewrite,[status(thm)],[t127_zfmisc_1]),
[] ).
cnf(156040216,plain,
in(c_nn_1(cartesian_product2(a,c),cartesian_product2(b,d)),set_intersection2(cartesian_product2(a,c),cartesian_product2(b,d))),
inference(resolution,[status(thm)],[142888504,142856424]),
[] ).
cnf(156102944,plain,
in(g(c_nn_1(cartesian_product2(a,c),cartesian_product2(b,d)),a,c,b,d),set_intersection2(c,d)),
inference(resolution,[status(thm)],[142757440,156040216]),
[] ).
cnf(142878552,plain,
( ~ in(D,set_intersection2(A,B))
| ~ disjoint(A,B) ),
inference(rewrite,[status(thm)],[t4_xboole_0]),
[] ).
cnf(142861160,plain,
( disjoint(c,d)
| disjoint(a,b) ),
inference(rewrite,[status(thm)],[t127_zfmisc_1]),
[] ).
cnf(156381512,plain,
( ~ in(B,set_intersection2(c,d))
| disjoint(a,b) ),
inference(resolution,[status(thm)],[142878552,142861160]),
[] ).
cnf(156481872,plain,
( ~ in(B,set_intersection2(c,d))
| ~ in(D,set_intersection2(a,b)) ),
inference(resolution,[status(thm)],[156381512,142878552]),
[] ).
cnf(158546264,plain,
~ in(C,set_intersection2(a,b)),
inference(resolution,[status(thm)],[156102944,156481872]),
[] ).
cnf(159779184,plain,
~ in(A,set_intersection2(cartesian_product2(a,B),cartesian_product2(b,C))),
inference(resolution,[status(thm)],[142763240,158546264]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[159779184,156040216]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(t104_zfmisc_1,plain,(((in(f(A,B,C,D,E),set_intersection2(B,D))|~in(A,set_intersection2(cartesian_product2(B,C),cartesian_product2(D,E))))&(in(g(A,B,C,D,E),set_intersection2(C,E))|~in(A,set_intersection2(cartesian_product2(B,C),cartesian_product2(D,E))))&($equal(ordered_pair(f(A,B,C,D,E),g(A,B,C,D,E)),A)|~in(A,set_intersection2(cartesian_product2(B,C),cartesian_product2(D,E)))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET974+1.tptp',unknown),[]).
%
% cnf(142763240,plain,(in(f(A,B,C,D,E),set_intersection2(B,D))|~in(A,set_intersection2(cartesian_product2(B,C),cartesian_product2(D,E)))),inference(rewrite,[status(thm)],[t104_zfmisc_1]),[]).
%
% cnf(142757440,plain,(in(g(A,B,C,D,E),set_intersection2(C,E))|~in(A,set_intersection2(cartesian_product2(B,C),cartesian_product2(D,E)))),inference(rewrite,[status(thm)],[t104_zfmisc_1]),[]).
%
% fof(t4_xboole_0,plain,(((disjoint(A,B)|in(c_nn_1(A,B),set_intersection2(A,B)))&(~in(D,set_intersection2(A,B))|~disjoint(A,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET974+1.tptp',unknown),[]).
%
% cnf(142888504,plain,(disjoint(A,B)|in(c_nn_1(A,B),set_intersection2(A,B))),inference(rewrite,[status(thm)],[t4_xboole_0]),[]).
%
% fof(t127_zfmisc_1,plain,(((~disjoint(cartesian_product2(a,c),cartesian_product2(b,d))|disjoint(a,b))&(disjoint(c,d)|disjoint(a,b))&(~disjoint(cartesian_product2(a,c),cartesian_product2(b,d))|~disjoint(cartesian_product2(a,c),cartesian_product2(b,d)))&(disjoint(c,d)|~disjoint(cartesian_product2(a,c),cartesian_product2(b,d))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET974+1.tptp',unknown),[]).
%
% cnf(142856424,plain,(~disjoint(cartesian_product2(a,c),cartesian_product2(b,d))),inference(rewrite,[status(thm)],[t127_zfmisc_1]),[]).
%
% cnf(156040216,plain,(in(c_nn_1(cartesian_product2(a,c),cartesian_product2(b,d)),set_intersection2(cartesian_product2(a,c),cartesian_product2(b,d)))),inference(resolution,[status(thm)],[142888504,142856424]),[]).
%
% cnf(156102944,plain,(in(g(c_nn_1(cartesian_product2(a,c),cartesian_product2(b,d)),a,c,b,d),set_intersection2(c,d))),inference(resolution,[status(thm)],[142757440,156040216]),[]).
%
% cnf(142878552,plain,(~in(D,set_intersection2(A,B))|~disjoint(A,B)),inference(rewrite,[status(thm)],[t4_xboole_0]),[]).
%
% cnf(142861160,plain,(disjoint(c,d)|disjoint(a,b)),inference(rewrite,[status(thm)],[t127_zfmisc_1]),[]).
%
% cnf(156381512,plain,(~in(B,set_intersection2(c,d))|disjoint(a,b)),inference(resolution,[status(thm)],[142878552,142861160]),[]).
%
% cnf(156481872,plain,(~in(B,set_intersection2(c,d))|~in(D,set_intersection2(a,b))),inference(resolution,[status(thm)],[156381512,142878552]),[]).
%
% cnf(158546264,plain,(~in(C,set_intersection2(a,b))),inference(resolution,[status(thm)],[156102944,156481872]),[]).
%
% cnf(159779184,plain,(~in(A,set_intersection2(cartesian_product2(a,B),cartesian_product2(b,C)))),inference(resolution,[status(thm)],[142763240,158546264]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[159779184,156040216]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------