TSTP Solution File: SET054-6 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SET054-6 : TPTP v3.4.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art04.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 15:25:45 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 4 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(not_subclass_members1,plain,
! [A,B] :
( member(not_subclass_element(A,B),A)
| subclass(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET054-6.tptp',unknown),
[] ).
cnf(163793304,plain,
( member(not_subclass_element(A,B),A)
| subclass(A,B) ),
inference(rewrite,[status(thm)],[not_subclass_members1]),
[] ).
fof(prove_subclass_is_reflexive_1,plain,
~ subclass(x,x),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET054-6.tptp',unknown),
[] ).
cnf(163773160,plain,
~ subclass(x,x),
inference(rewrite,[status(thm)],[prove_subclass_is_reflexive_1]),
[] ).
cnf(173434200,plain,
member(not_subclass_element(x,x),x),
inference(resolution,[status(thm)],[163793304,163773160]),
[] ).
fof(not_subclass_members2,plain,
! [A,B] :
( ~ member(not_subclass_element(A,B),B)
| subclass(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET054-6.tptp',unknown),
[] ).
cnf(163805424,plain,
( ~ member(not_subclass_element(A,B),B)
| subclass(A,B) ),
inference(rewrite,[status(thm)],[not_subclass_members2]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[173434200,163805424,163773160]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(not_subclass_members1,plain,(member(not_subclass_element(A,B),A)|subclass(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET054-6.tptp',unknown),[]).
%
% cnf(163793304,plain,(member(not_subclass_element(A,B),A)|subclass(A,B)),inference(rewrite,[status(thm)],[not_subclass_members1]),[]).
%
% fof(prove_subclass_is_reflexive_1,plain,(~subclass(x,x)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET054-6.tptp',unknown),[]).
%
% cnf(163773160,plain,(~subclass(x,x)),inference(rewrite,[status(thm)],[prove_subclass_is_reflexive_1]),[]).
%
% cnf(173434200,plain,(member(not_subclass_element(x,x),x)),inference(resolution,[status(thm)],[163793304,163773160]),[]).
%
% fof(not_subclass_members2,plain,(~member(not_subclass_element(A,B),B)|subclass(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET054-6.tptp',unknown),[]).
%
% cnf(163805424,plain,(~member(not_subclass_element(A,B),B)|subclass(A,B)),inference(rewrite,[status(thm)],[not_subclass_members2]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[173434200,163805424,163773160]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------