TSTP Solution File: SET629+3 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SET629+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 15:33:40 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 47 ( 21 ~; 19 |; 7 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 23 ( 2 sgn 11 !; 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/SET629+3.tptp',unknown),
[] ).
cnf(152607304,plain,
( member(C,B)
| ~ member(C,intersection(A,B)) ),
inference(rewrite,[status(thm)],[intersection_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/SET629+3.tptp',unknown),
[] ).
cnf(152654320,plain,
( member(d_nn_1(A,B),A)
| ~ intersect(A,B) ),
inference(rewrite,[status(thm)],[intersect_defn]),
[] ).
fof(disjoint_defn,plain,
! [A,B] :
( ( ~ disjoint(A,B)
| ~ intersect(A,B) )
& ( disjoint(A,B)
| intersect(A,B) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET629+3.tptp',unknown),
[] ).
cnf(152666096,plain,
( disjoint(A,B)
| intersect(A,B) ),
inference(rewrite,[status(thm)],[disjoint_defn]),
[] ).
fof(prove_intersection_and_difference_disjoint,plain,
~ disjoint(intersection(b,c),difference(b,c)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET629+3.tptp',unknown),
[] ).
cnf(152765352,plain,
~ disjoint(intersection(b,c),difference(b,c)),
inference(rewrite,[status(thm)],[prove_intersection_and_difference_disjoint]),
[] ).
cnf(160575608,plain,
intersect(intersection(b,c),difference(b,c)),
inference(resolution,[status(thm)],[152666096,152765352]),
[] ).
cnf(160601016,plain,
member(d_nn_1(intersection(b,c),difference(b,c)),intersection(b,c)),
inference(resolution,[status(thm)],[152654320,160575608]),
[] ).
cnf(160676376,plain,
member(d_nn_1(intersection(b,c),difference(b,c)),c),
inference(resolution,[status(thm)],[152607304,160601016]),
[] ).
cnf(152660072,plain,
( member(d_nn_1(A,B),B)
| ~ intersect(A,B) ),
inference(rewrite,[status(thm)],[intersect_defn]),
[] ).
cnf(160610600,plain,
member(d_nn_1(intersection(b,c),difference(b,c)),difference(b,c)),
inference(resolution,[status(thm)],[152660072,160575608]),
[] ).
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/SET629+3.tptp',unknown),
[] ).
cnf(152640800,plain,
( ~ member(C,B)
| ~ member(C,difference(A,B)) ),
inference(rewrite,[status(thm)],[difference_defn]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[160676376,160610600,152640800]),
[] ).
%------------------------------------------------------------------------------
%----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/SET629+3.tptp',unknown),[]).
%
% cnf(152607304,plain,(member(C,B)|~member(C,intersection(A,B))),inference(rewrite,[status(thm)],[intersection_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/SET629+3.tptp',unknown),[]).
%
% cnf(152654320,plain,(member(d_nn_1(A,B),A)|~intersect(A,B)),inference(rewrite,[status(thm)],[intersect_defn]),[]).
%
% fof(disjoint_defn,plain,(((~disjoint(A,B)|~intersect(A,B))&(disjoint(A,B)|intersect(A,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET629+3.tptp',unknown),[]).
%
% cnf(152666096,plain,(disjoint(A,B)|intersect(A,B)),inference(rewrite,[status(thm)],[disjoint_defn]),[]).
%
% fof(prove_intersection_and_difference_disjoint,plain,(~disjoint(intersection(b,c),difference(b,c))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET629+3.tptp',unknown),[]).
%
% cnf(152765352,plain,(~disjoint(intersection(b,c),difference(b,c))),inference(rewrite,[status(thm)],[prove_intersection_and_difference_disjoint]),[]).
%
% cnf(160575608,plain,(intersect(intersection(b,c),difference(b,c))),inference(resolution,[status(thm)],[152666096,152765352]),[]).
%
% cnf(160601016,plain,(member(d_nn_1(intersection(b,c),difference(b,c)),intersection(b,c))),inference(resolution,[status(thm)],[152654320,160575608]),[]).
%
% cnf(160676376,plain,(member(d_nn_1(intersection(b,c),difference(b,c)),c)),inference(resolution,[status(thm)],[152607304,160601016]),[]).
%
% cnf(152660072,plain,(member(d_nn_1(A,B),B)|~intersect(A,B)),inference(rewrite,[status(thm)],[intersect_defn]),[]).
%
% cnf(160610600,plain,(member(d_nn_1(intersection(b,c),difference(b,c)),difference(b,c))),inference(resolution,[status(thm)],[152660072,160575608]),[]).
%
% 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/SET629+3.tptp',unknown),[]).
%
% cnf(152640800,plain,(~member(C,B)|~member(C,difference(A,B))),inference(rewrite,[status(thm)],[difference_defn]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[160676376,160610600,152640800]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------