%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET058-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 02:09:05 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.33s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 10 unt; 0 def)
% Number of atoms : 26 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,Y] :
( subclass(X,Y)
| member(not_subclass_element(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( subclass(X,Y)
| ~ member(not_subclass_element(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] :
( X = Y
| ~ subclass(Y,X)
| ~ subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
member(not_subclass_element(y,x),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
x != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f94,negated_conjecture,
~ member(not_subclass_element(x,y),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f97,plain,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f98,plain,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f102,plain,
! [X0,X1] :
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f200,plain,
member(not_subclass_element(y,x),x),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f201,plain,
x != y,
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f202,plain,
~ member(not_subclass_element(x,y),x),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f206,plain,
subclass(x,y),
inference(resolution,[status(thm)],[f97,f202]) ).
fof(f207,plain,
subclass(y,x),
inference(resolution,[status(thm)],[f98,f200]) ).
fof(f216,plain,
( x = y
| ~ subclass(x,y) ),
inference(resolution,[status(thm)],[f102,f207]) ).
fof(f220,plain,
x = y,
inference(forward_subsumption_resolution,[status(thm)],[f216,f206]) ).
fof(f227,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f220,f201]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET058-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.29 % Computer : n012.cluster.edu
% 0.04/0.29 % Model : x86_64 x86_64
% 0.04/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.29 % Memory : 8046.5625MB
% 0.04/0.29 % OS : Linux 6.8.0-71-generic
% 0.04/0.29 % CPULimit : 300
% 0.04/0.29 % WCLimit : 300
% 0.04/0.29 % DateTime : Mon Sep 21 04:48:07 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.31 % Drodi V4.1.1
% 0.07/0.33 % Refutation found
% 0.07/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.36 % Elapsed time: 0.044705 seconds
% 0.07/0.36 % CPU time: 0.095379 seconds
% 0.07/0.36 % Total memory used: 104.653 MB
% 0.07/0.36 % Net memory used: 104.582 MB
%------------------------------------------------------------------------------