%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET095-6 : 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 02:09:19 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 10 unt; 0 def)
% Number of atoms : 57 ( 18 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 52 ( 23 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,U] :
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( subclass(X,Y)
| member(not_subclass_element(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( subclass(X,Y)
| ~ member(not_subclass_element(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] :
( subclass(X,Y)
| X != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [U,X,Y] :
( U = Y
| U = X
| ~ member(U,unordered_pair(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
member(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
~ subclass(singleton(x),y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f94,plain,
! [Y,U] :
( member(U,Y)
| ! [X] :
( ~ member(U,X)
| ~ subclass(X,Y) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f95,plain,
! [X0,X1,X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f96,plain,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f97,plain,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f99,plain,
! [X0,X1] :
( subclass(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f102,plain,
! [U,Y] :
( U = Y
| ! [X] :
( U = X
| ~ member(U,unordered_pair(X,Y)) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f103,plain,
! [X0,X1,X2] :
( X0 = X2
| X0 = X1
| ~ member(X0,unordered_pair(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f109,plain,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f199,plain,
member(x,y),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f200,plain,
~ subclass(singleton(x),y),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f201,plain,
! [X0] : subclass(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f99]) ).
fof(f212,plain,
! [X0,X1,X2,X3] :
( ~ member(X0,X3)
| ~ subclass(X3,unordered_pair(X1,X2))
| X0 = X2
| X0 = X1 ),
inference(resolution,[status(thm)],[f103,f95]) ).
fof(f220,plain,
! [X0,X1,X2] :
( ~ member(X0,X2)
| ~ subclass(X2,singleton(X1))
| X0 = X1
| X0 = X1 ),
inference(paramodulation,[status(thm)],[f109,f212]) ).
fof(f221,plain,
! [X0,X1,X2] :
( ~ member(X0,X2)
| ~ subclass(X2,singleton(X1))
| X0 = X1 ),
inference(duplicate_literals_removal,[status(thm)],[f220]) ).
fof(f222,plain,
! [X0,X1] :
( ~ member(X0,singleton(X1))
| X0 = X1 ),
inference(resolution,[status(thm)],[f221,f201]) ).
fof(f223,plain,
! [X0,X1] :
( subclass(singleton(X0),X1)
| not_subclass_element(singleton(X0),X1) = X0 ),
inference(resolution,[status(thm)],[f222,f96]) ).
fof(f225,plain,
not_subclass_element(singleton(x),y) = x,
inference(resolution,[status(thm)],[f223,f200]) ).
fof(f230,plain,
( subclass(singleton(x),y)
| ~ member(x,y) ),
inference(paramodulation,[status(thm)],[f225,f97]) ).
fof(f232,plain,
subclass(singleton(x),y),
inference(forward_subsumption_resolution,[status(thm)],[f230,f199]) ).
fof(f234,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f232,f200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET095-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 04:52:11 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.43 % Elapsed time: 0.051504 seconds
% 0.09/0.43 % CPU time: 0.148200 seconds
% 0.09/0.43 % Total memory used: 94.991 MB
% 0.09/0.43 % Net memory used: 94.894 MB
%------------------------------------------------------------------------------