%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET166-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 02:09:32 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.47s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 14 unt; 0 def)
% Number of atoms : 55 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 60 ( 35 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 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(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(f26,axiom,
! [X,Y] : complement(intersection(complement(X),complement(Y))) = union(X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
member(x,union(y,z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
~ member(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f115,negated_conjecture,
~ member(x,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f116,plain,
! [Y,U] :
( member(U,Y)
| ! [X] :
( ~ member(U,X)
| ~ subclass(X,Y) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f117,plain,
! [X0,X1,X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f116]) ).
fof(f120,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f147,plain,
! [X0,X1,X2] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f148,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f149,plain,
! [X0,X1] :
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f150,plain,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f247,plain,
member(x,union(y,z)),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f248,plain,
~ member(x,y),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f249,plain,
~ member(x,z),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f421,plain,
! [X0,X1] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(resolution,[status(thm)],[f117,f120]) ).
fof(f1387,plain,
! [X0,X1,X2] :
( ~ member(X0,intersection(complement(X1),complement(X2)))
| ~ member(X0,union(X1,X2)) ),
inference(paramodulation,[status(thm)],[f150,f148]) ).
fof(f2238,plain,
! [X0,X1,X2] :
( ~ member(X0,union(X1,X2))
| ~ member(X0,complement(X2))
| ~ member(X0,complement(X1)) ),
inference(resolution,[status(thm)],[f147,f1387]) ).
fof(f2246,plain,
( ~ member(x,complement(z))
| ~ member(x,complement(y)) ),
inference(resolution,[status(thm)],[f2238,f247]) ).
fof(f2555,plain,
( ~ member(x,complement(y))
| member(x,z)
| ~ member(x,universal_class) ),
inference(resolution,[status(thm)],[f149,f2246]) ).
fof(f2567,plain,
( ~ member(x,complement(y))
| member(x,z) ),
inference(forward_subsumption_resolution,[status(thm)],[f2555,f421]) ).
fof(f2604,plain,
~ member(x,complement(y)),
inference(forward_subsumption_resolution,[status(thm)],[f2567,f249]) ).
fof(f2605,plain,
( member(x,y)
| ~ member(x,universal_class) ),
inference(resolution,[status(thm)],[f2604,f149]) ).
fof(f2606,plain,
~ member(x,universal_class),
inference(forward_subsumption_resolution,[status(thm)],[f2605,f248]) ).
fof(f2607,plain,
! [X0] : ~ member(x,X0),
inference(resolution,[status(thm)],[f2606,f421]) ).
fof(f2609,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f247,f2607]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET166-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 05:00:24 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.47 % Refutation found
% 0.10/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.48 % Elapsed time: 0.098045 seconds
% 0.10/0.48 % CPU time: 0.571087 seconds
% 0.10/0.48 % Total memory used: 127.919 MB
% 0.10/0.48 % Net memory used: 127.181 MB
%------------------------------------------------------------------------------