%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET188-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 02:09:35 PM UTC 2026
% Result : Unsatisfiable 0.24s 0.65s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 41 ( 11 unt; 0 def)
% Number of atoms : 85 ( 10 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 83 ( 39 ~; 44 |; 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 60 ( 60 !; 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(f4,axiom,
! [X] : subclass(X,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [Z,X,Y] :
( member(Z,intersection(X,Y))
| ~ member(Z,Y)
| ~ member(Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [Z,X] :
( ~ member(Z,X)
| ~ member(Z,complement(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [Z,X] :
( member(Z,X)
| member(Z,complement(X))
| ~ member(Z,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f66,axiom,
! [X] :
( member(regular(X),X)
| X = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
intersection(complement(y),x) = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
~ subclass(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f115,plain,
! [Y,U] :
( member(U,Y)
| ! [X] :
( ~ member(U,X)
| ~ subclass(X,Y) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f116,plain,
! [X0,X1,X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f117,plain,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f118,plain,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f119,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f146,plain,
! [X0,X1,X2] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f147,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f148,plain,
! [X0,X1] :
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f189,plain,
! [X0] :
( member(regular(X0),X0)
| X0 = null_class ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f246,plain,
intersection(complement(y),x) = null_class,
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f247,plain,
~ subclass(x,y),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f252,plain,
! [X0,X1,X2,X3] :
( ~ member(X2,X3)
| ~ subclass(X3,X0)
| member(X2,X1)
| ~ subclass(X0,X1) ),
inference(resolution,[status(thm)],[f116,f116]) ).
fof(f259,plain,
! [X0,X1,X2] :
( member(not_subclass_element(X0,X1),X2)
| ~ subclass(X0,X2)
| subclass(X0,X1) ),
inference(resolution,[status(thm)],[f117,f116]) ).
fof(f260,plain,
~ member(not_subclass_element(x,y),y),
inference(resolution,[status(thm)],[f118,f247]) ).
fof(f295,plain,
! [X0] :
( member(X0,null_class)
| ~ member(X0,x)
| ~ member(X0,complement(y)) ),
inference(paramodulation,[status(thm)],[f246,f146]) ).
fof(f333,plain,
! [X0,X1,X2] :
( ~ member(X1,X2)
| member(X1,X0)
| ~ subclass(universal_class,X0) ),
inference(resolution,[status(thm)],[f252,f119]) ).
fof(f383,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[status(thm)],[f189,f147]) ).
fof(f385,plain,
! [X0,X1] :
( member(regular(X0),X1)
| ~ subclass(X0,X1)
| X0 = null_class ),
inference(resolution,[status(thm)],[f189,f116]) ).
fof(f430,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(resolution,[status(thm)],[f259,f119]) ).
fof(f816,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[status(thm)],[f333,f119]) ).
fof(f977,plain,
! [X0] :
( member(regular(X0),universal_class)
| X0 = null_class ),
inference(resolution,[status(thm)],[f385,f119]) ).
fof(f980,plain,
( complement(universal_class) = null_class
| complement(universal_class) = null_class ),
inference(resolution,[status(thm)],[f977,f383]) ).
fof(f983,plain,
complement(universal_class) = null_class,
inference(duplicate_literals_removal,[status(thm)],[f980]) ).
fof(f1008,plain,
! [X0] :
( ~ member(X0,universal_class)
| ~ member(X0,null_class) ),
inference(paramodulation,[status(thm)],[f983,f147]) ).
fof(f1017,plain,
! [X0] : ~ member(X0,null_class),
inference(forward_subsumption_resolution,[status(thm)],[f1008,f816]) ).
fof(f1048,plain,
! [X0] :
( ~ member(X0,x)
| ~ member(X0,complement(y)) ),
inference(backward_subsumption_resolution,[status(thm)],[f295,f1017]) ).
fof(f1073,plain,
! [X0] :
( subclass(x,X0)
| ~ member(not_subclass_element(x,X0),complement(y)) ),
inference(resolution,[status(thm)],[f1048,f117]) ).
fof(f1203,plain,
! [X0] :
( member(not_subclass_element(x,X0),y)
| ~ member(not_subclass_element(x,X0),universal_class)
| subclass(x,X0) ),
inference(resolution,[status(thm)],[f1073,f148]) ).
fof(f1207,plain,
! [X0] :
( member(not_subclass_element(x,X0),y)
| subclass(x,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1203,f430]) ).
fof(f1401,plain,
subclass(x,y),
inference(resolution,[status(thm)],[f1207,f260]) ).
fof(f1403,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1401,f247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET188-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.50 % Computer : n013.cluster.edu
% 0.20/0.50 % Model : x86_64 x86_64
% 0.20/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.50 % Memory : 8046.5625MB
% 0.20/0.50 % OS : Linux 6.8.0-71-generic
% 0.20/0.50 % CPULimit : 300
% 0.20/0.50 % WCLimit : 300
% 0.20/0.50 % DateTime : Mon Sep 21 04:58:51 UTC 2026
% 0.20/0.50 % CPUTime :
% 0.24/0.52 % Drodi V4.1.1
% 0.24/0.65 % Refutation found
% 0.24/0.65 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.24/0.65 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.71 % Elapsed time: 0.185749 seconds
% 0.24/0.71 % CPU time: 0.862111 seconds
% 0.24/0.71 % Total memory used: 98.743 MB
% 0.24/0.71 % Net memory used: 97.487 MB
%------------------------------------------------------------------------------