%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET382-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -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 02:11:59 PM UTC 2026
% Result : Unsatisfiable 10.75s 1.92s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET382-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n015.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 05:16:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.14/0.39 % Drodi V4.1.1
% 10.75/1.92 % Refutation found
% 10.75/1.92 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 10.75/1.92 % SZS output start CNFRefutation for theBenchmark
% 10.75/1.92 fof(f1,axiom,(
% 10.75/1.92 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 10.75/1.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.75/1.92 fof(f2,axiom,(
% 10.75/1.92 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 10.75/1.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.75/1.92 fof(f3,axiom,(
% 10.75/1.92 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 10.75/1.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.75/1.92 fof(f7,axiom,(
% 10.75/1.92 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 10.75/1.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.75/1.92 fof(f21,axiom,(
% 10.75/1.92 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 10.75/1.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.75/1.92 fof(f23,axiom,(
% 10.75/1.92 (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 10.75/1.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.75/1.92 fof(f28,axiom,(
% 10.75/1.92 (![Xr,X,Y]: (intersection(Xr,cross_product(X,Y)) = restrict(Xr,X,Y) ))),
% 10.75/1.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.75/1.92 fof(f29,axiom,(
% 10.75/1.92 (![X,Y,Xr]: (intersection(cross_product(X,Y),Xr) = restrict(Xr,X,Y) ))),
% 10.75/1.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.75/1.92 fof(f113,negated_conjecture,(
% 10.75/1.92 subclass(x,cross_product(universal_class,universal_class)) ),
% 10.75/1.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.75/1.92 fof(f114,negated_conjecture,(
% 10.75/1.92 restrict(x,universal_class,universal_class) != x ),
% 10.75/1.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.75/1.92 fof(f115,plain,(
% 10.75/1.92 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 10.75/1.92 inference(miniscoping,[status(thm)],[f1])).
% 10.75/1.92 fof(f116,plain,(
% 10.75/1.92 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 10.75/1.92 inference(cnf_transformation,[status(thm)],[f115])).
% 10.75/1.92 fof(f117,plain,(
% 10.75/1.92 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 10.75/1.92 inference(cnf_transformation,[status(thm)],[f2])).
% 10.75/1.92 fof(f118,plain,(
% 10.75/1.92 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 10.75/1.92 inference(cnf_transformation,[status(thm)],[f3])).
% 10.75/1.92 fof(f122,plain,(
% 10.75/1.92 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 10.75/1.92 inference(cnf_transformation,[status(thm)],[f7])).
% 10.75/1.92 fof(f142,plain,(
% 10.75/1.92 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 10.75/1.92 inference(miniscoping,[status(thm)],[f21])).
% 10.75/1.92 fof(f143,plain,(
% 10.75/1.92 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 10.75/1.92 inference(cnf_transformation,[status(thm)],[f142])).
% 10.75/1.92 fof(f146,plain,(
% 10.75/1.92 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 10.75/1.92 inference(cnf_transformation,[status(thm)],[f23])).
% 10.75/1.92 fof(f151,plain,(
% 10.75/1.92 ![X0,X1,X2]: (intersection(X0,cross_product(X1,X2))=restrict(X0,X1,X2))),
% 10.75/1.92 inference(cnf_transformation,[status(thm)],[f28])).
% 10.75/1.92 fof(f152,plain,(
% 10.75/1.92 ![X0,X1,X2]: (intersection(cross_product(X0,X1),X2)=restrict(X2,X0,X1))),
% 10.75/1.92 inference(cnf_transformation,[status(thm)],[f29])).
% 10.75/1.92 fof(f246,plain,(
% 10.75/1.92 subclass(x,cross_product(universal_class,universal_class))),
% 10.75/1.92 inference(cnf_transformation,[status(thm)],[f113])).
% 10.75/1.92 fof(f247,plain,(
% 10.75/1.92 ~restrict(x,universal_class,universal_class)=x),
% 10.75/1.92 inference(cnf_transformation,[status(thm)],[f114])).
% 10.75/1.92 fof(f255,plain,(
% 10.75/1.92 ![X0]: (~member(X0,x)|member(X0,cross_product(universal_class,universal_class)))),
% 10.75/1.92 inference(resolution,[status(thm)],[f116,f246])).
% 10.75/1.92 fof(f266,plain,(
% 10.75/1.92 ![X0]: (subclass(x,X0)|member(not_subclass_element(x,X0),cross_product(universal_class,universal_class)))),
% 10.75/1.92 inference(resolution,[status(thm)],[f117,f255])).
% 10.75/1.92 fof(f498,plain,(
% 10.75/1.92 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X0)|subclass(intersection(X0,X1),X2))),
% 10.75/1.92 inference(resolution,[status(thm)],[f143,f117])).
% 10.75/1.92 fof(f853,plain,(
% 10.75/1.92 ![X0,X1]: (~member(not_subclass_element(x,X0),X1)|member(not_subclass_element(x,X0),intersection(cross_product(universal_class,universal_class),X1))|subclass(x,X0))),
% 10.75/1.92 inference(resolution,[status(thm)],[f146,f266])).
% 10.75/1.92 fof(f870,plain,(
% 10.75/1.92 ![X0,X1]: (~member(not_subclass_element(x,X0),X1)|member(not_subclass_element(x,X0),restrict(X1,universal_class,universal_class))|subclass(x,X0))),
% 10.75/1.94 inference(forward_demodulation,[status(thm)],[f152,f853])).
% 10.75/1.94 fof(f5764,plain,(
% 10.75/1.94 ![X0]: (member(not_subclass_element(x,X0),restrict(x,universal_class,universal_class))|subclass(x,X0)|subclass(x,X0))),
% 10.75/1.94 inference(resolution,[status(thm)],[f870,f117])).
% 10.75/1.94 fof(f5775,plain,(
% 10.75/1.94 ![X0]: (member(not_subclass_element(x,X0),restrict(x,universal_class,universal_class))|subclass(x,X0))),
% 10.75/1.94 inference(duplicate_literals_removal,[status(thm)],[f5764])).
% 10.75/1.94 fof(f7424,plain,(
% 10.75/1.94 subclass(x,restrict(x,universal_class,universal_class))|subclass(x,restrict(x,universal_class,universal_class))),
% 10.75/1.94 inference(resolution,[status(thm)],[f5775,f118])).
% 10.75/1.94 fof(f7440,plain,(
% 10.75/1.94 subclass(x,restrict(x,universal_class,universal_class))),
% 10.75/1.94 inference(duplicate_literals_removal,[status(thm)],[f7424])).
% 10.75/1.94 fof(f7442,plain,(
% 10.75/1.94 ~subclass(restrict(x,universal_class,universal_class),x)|x=restrict(x,universal_class,universal_class)),
% 10.75/1.94 inference(resolution,[status(thm)],[f7440,f122])).
% 10.75/1.94 fof(f7443,plain,(
% 10.75/1.94 ~subclass(restrict(x,universal_class,universal_class),x)),
% 10.75/1.94 inference(forward_subsumption_resolution,[status(thm)],[f7442,f247])).
% 10.75/1.94 fof(f10603,plain,(
% 10.75/1.94 ![X0,X1]: (subclass(intersection(X0,X1),X0)|subclass(intersection(X0,X1),X0))),
% 10.75/1.94 inference(resolution,[status(thm)],[f498,f118])).
% 10.75/1.94 fof(f10672,plain,(
% 10.75/1.94 ![X0,X1]: (subclass(intersection(X0,X1),X0))),
% 10.75/1.94 inference(duplicate_literals_removal,[status(thm)],[f10603])).
% 10.75/1.94 fof(f11654,plain,(
% 10.75/1.94 ![X0,X1,X2]: (subclass(restrict(X0,X1,X2),X0))),
% 10.75/1.94 inference(paramodulation,[status(thm)],[f151,f10672])).
% 10.75/1.94 fof(f11682,plain,(
% 10.75/1.94 $false),
% 10.75/1.94 inference(backward_subsumption_resolution,[status(thm)],[f7443,f11654])).
% 10.75/1.94 % SZS output end CNFRefutation for theBenchmark.p
% 10.77/1.98 % Elapsed time: 1.588591 seconds
% 10.77/1.98 % CPU time: 12.223547 seconds
% 10.77/1.98 % Total memory used: 208.760 MB
% 10.77/1.98 % Net memory used: 190.205 MB
%------------------------------------------------------------------------------