%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET065-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:09:09 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.54s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,U] :
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : subclass(X,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [X] :
( member(null_class,X)
| ~ inductive(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,axiom,
inductive(omega),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
~ member(null_class,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f93,plain,
! [Y,U] :
( member(U,Y)
| ! [X] :
( ~ member(U,X)
| ~ subclass(X,Y) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f94,plain,
! [X0,X1,X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f97,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f148,plain,
! [X0] :
( member(null_class,X0)
| ~ inductive(X0) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f151,plain,
inductive(omega),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f198,plain,
~ member(null_class,universal_class),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f206,plain,
member(null_class,omega),
inference(resolution,[status(thm)],[f148,f151]) ).
fof(f207,plain,
! [X0] :
( member(null_class,X0)
| ~ subclass(omega,X0) ),
inference(resolution,[status(thm)],[f206,f94]) ).
fof(f257,plain,
member(null_class,universal_class),
inference(resolution,[status(thm)],[f207,f97]) ).
fof(f260,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f257,f198]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET065-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.50 % Computer : n005.cluster.edu
% 0.11/0.50 % Model : x86_64 x86_64
% 0.11/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.50 % Memory : 8046.5625MB
% 0.11/0.50 % OS : Linux 6.8.0-71-generic
% 0.11/0.50 % CPULimit : 300
% 0.11/0.50 % WCLimit : 300
% 0.11/0.50 % DateTime : Mon Sep 21 04:48:33 UTC 2026
% 0.11/0.50 % CPUTime :
% 0.11/0.52 % Drodi V4.1.1
% 0.11/0.54 % Refutation found
% 0.11/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.57 % Elapsed time: 0.062328 seconds
% 0.17/0.57 % CPU time: 0.164874 seconds
% 0.17/0.57 % Total memory used: 104.547 MB
% 0.17/0.57 % Net memory used: 104.489 MB
%------------------------------------------------------------------------------