%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SET062-7 : TPTP v3.4.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art03.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 15:26:27 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 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 7 ( 2 sgn 3 !; 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/SET062-7.tptp',unknown),
[] ).
cnf(150442472,plain,
( member(not_subclass_element(A,B),A)
| subclass(A,B) ),
inference(rewrite,[status(thm)],[not_subclass_members1]),
[] ).
fof(existence_of_null_class,plain,
! [A] : ~ member(A,null_class),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET062-7.tptp',unknown),
[] ).
cnf(151441680,plain,
~ member(A,null_class),
inference(rewrite,[status(thm)],[existence_of_null_class]),
[] ).
cnf(160376424,plain,
subclass(null_class,A),
inference(resolution,[status(thm)],[150442472,151441680]),
[] ).
fof(prove_null_class_is_subclass_1,plain,
~ subclass(null_class,x),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET062-7.tptp',unknown),
[] ).
cnf(151450520,plain,
~ subclass(null_class,x),
inference(rewrite,[status(thm)],[prove_null_class_is_subclass_1]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[160376424,151450520]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(not_subclass_members1,plain,(member(not_subclass_element(A,B),A)|subclass(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET062-7.tptp',unknown),[]).
%
% cnf(150442472,plain,(member(not_subclass_element(A,B),A)|subclass(A,B)),inference(rewrite,[status(thm)],[not_subclass_members1]),[]).
%
% fof(existence_of_null_class,plain,(~member(A,null_class)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET062-7.tptp',unknown),[]).
%
% cnf(151441680,plain,(~member(A,null_class)),inference(rewrite,[status(thm)],[existence_of_null_class]),[]).
%
% cnf(160376424,plain,(subclass(null_class,A)),inference(resolution,[status(thm)],[150442472,151441680]),[]).
%
% fof(prove_null_class_is_subclass_1,plain,(~subclass(null_class,x)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET062-7.tptp',unknown),[]).
%
% cnf(151450520,plain,(~subclass(null_class,x)),inference(rewrite,[status(thm)],[prove_null_class_is_subclass_1]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[160376424,151450520]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------