%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET064-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 15 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,Y] :
( subclass(X,Y)
| member(not_subclass_element(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f105,axiom,
! [X] :
( X = null_class
| ~ subclass(X,null_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f106,negated_conjecture,
z != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f107,negated_conjecture,
~ member(not_subclass_element(z,null_class),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f110,plain,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f231,plain,
! [X0] :
( X0 = null_class
| ~ subclass(X0,null_class) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f232,plain,
z != null_class,
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f233,plain,
~ member(not_subclass_element(z,null_class),z),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f238,plain,
subclass(z,null_class),
inference(resolution,[status(thm)],[f110,f233]) ).
fof(f240,plain,
z = null_class,
inference(resolution,[status(thm)],[f238,f231]) ).
fof(f241,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f240,f232]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET064-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n011.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 04:48:41 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.050665 seconds
% 0.13/0.41 % CPU time: 0.135021 seconds
% 0.13/0.41 % Total memory used: 82.007 MB
% 0.13/0.41 % Net memory used: 81.968 MB
%------------------------------------------------------------------------------