%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET186-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 1.00s 0.71s
% Output : CNFRefutation 1.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 10 unt; 0 def)
% Number of atoms : 67 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 22 ~; 32 |; 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; 3 con; 0-2 aty)
% Number of variables : 61 ( 61 !; 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(f21,axiom,
! [Z,X,Y] :
( member(Z,X)
| ~ member(Z,intersection(X,Y)) ),
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,
union(x,y) = y,
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(f142,plain,
! [Z,X] :
( member(Z,X)
| ! [Y] : ~ member(Z,intersection(X,Y)) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f143,plain,
! [X0,X1,X2] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f142]) ).
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(f149,plain,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f246,plain,
union(x,y) = y,
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f247,plain,
~ subclass(x,y),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f271,plain,
! [X0,X1,X2] :
( member(not_subclass_element(X0,X1),X2)
| ~ subclass(X0,X2)
| subclass(X0,X1) ),
inference(resolution,[status(thm)],[f117,f116]) ).
fof(f273,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(resolution,[status(thm)],[f271,f119]) ).
fof(f299,plain,
! [X0,X1] :
( subclass(X0,complement(X1))
| member(not_subclass_element(X0,complement(X1)),X1)
| ~ member(not_subclass_element(X0,complement(X1)),universal_class) ),
inference(resolution,[status(thm)],[f148,f118]) ).
fof(f303,plain,
! [X0,X1] :
( subclass(X0,complement(X1))
| member(not_subclass_element(X0,complement(X1)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f299,f273]) ).
fof(f306,plain,
! [X0,X1,X2] :
( member(not_subclass_element(X0,complement(intersection(X1,X2))),X1)
| subclass(X0,complement(intersection(X1,X2))) ),
inference(resolution,[status(thm)],[f303,f143]) ).
fof(f341,plain,
! [X0,X1,X2] :
( member(not_subclass_element(X0,union(X1,X2)),complement(X1))
| subclass(X0,complement(intersection(complement(X1),complement(X2)))) ),
inference(paramodulation,[status(thm)],[f149,f306]) ).
fof(f342,plain,
! [X0,X1,X2] :
( member(not_subclass_element(X0,union(X1,X2)),complement(X1))
| subclass(X0,union(X1,X2)) ),
inference(forward_demodulation,[status(thm)],[f149,f341]) ).
fof(f345,plain,
! [X0] :
( member(not_subclass_element(X0,y),complement(x))
| subclass(X0,union(x,y)) ),
inference(paramodulation,[status(thm)],[f246,f342]) ).
fof(f348,plain,
! [X0] :
( member(not_subclass_element(X0,y),complement(x))
| subclass(X0,y) ),
inference(forward_demodulation,[status(thm)],[f246,f345]) ).
fof(f350,plain,
! [X0] :
( ~ member(not_subclass_element(X0,y),x)
| subclass(X0,y) ),
inference(resolution,[status(thm)],[f348,f147]) ).
fof(f772,plain,
( subclass(x,y)
| subclass(x,y) ),
inference(resolution,[status(thm)],[f350,f117]) ).
fof(f777,plain,
subclass(x,y),
inference(duplicate_literals_removal,[status(thm)],[f772]) ).
fof(f778,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f777,f247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET186-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n015.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 05:02:36 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.42 % Drodi V4.1.1
% 1.00/0.71 % Refutation found
% 1.00/0.71 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.00/0.71 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.26/0.74 % Elapsed time: 0.333724 seconds
% 0.26/0.74 % CPU time: 2.217797 seconds
% 0.26/0.74 % Total memory used: 164.714 MB
% 0.26/0.74 % Net memory used: 160.472 MB
%------------------------------------------------------------------------------