%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET454-6 : 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 : n016.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 02:12:04 PM UTC 2026
% Result : Unsatisfiable 46.81s 6.67s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET454-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n016.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 05:23:22 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.47 % Drodi V4.1.1
% 46.81/6.67 % Refutation found
% 46.81/6.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 46.81/6.67 % SZS output start CNFRefutation for theBenchmark
% 46.81/6.67 fof(f1,axiom,(
% 46.81/6.67 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 46.81/6.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.81/6.67 fof(f2,axiom,(
% 46.81/6.67 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 46.81/6.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.81/6.67 fof(f3,axiom,(
% 46.81/6.67 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 46.81/6.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.81/6.67 fof(f21,axiom,(
% 46.81/6.67 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 46.81/6.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.81/6.67 fof(f22,axiom,(
% 46.81/6.67 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 46.81/6.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.81/6.67 fof(f29,axiom,(
% 46.81/6.67 (![X,Y,Xr]: (intersection(cross_product(X,Y),Xr) = restrict(Xr,X,Y) ))),
% 46.81/6.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.81/6.67 fof(f74,axiom,(
% 46.81/6.67 intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation))))) = subset_relation ),
% 46.81/6.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.81/6.67 fof(f75,axiom,(
% 46.81/6.67 intersection(inverse(subset_relation),subset_relation) = identity_relation ),
% 46.81/6.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.81/6.67 fof(f113,negated_conjecture,(
% 46.81/6.67 ~ subclass(identity_relation,cross_product(universal_class,universal_class)) ),
% 46.81/6.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.81/6.67 fof(f114,plain,(
% 46.81/6.67 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 46.81/6.67 inference(miniscoping,[status(thm)],[f1])).
% 46.81/6.67 fof(f115,plain,(
% 46.81/6.67 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 46.81/6.67 inference(cnf_transformation,[status(thm)],[f114])).
% 46.81/6.67 fof(f116,plain,(
% 46.81/6.67 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 46.81/6.67 inference(cnf_transformation,[status(thm)],[f2])).
% 46.81/6.67 fof(f117,plain,(
% 46.81/6.67 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 46.81/6.67 inference(cnf_transformation,[status(thm)],[f3])).
% 46.81/6.67 fof(f141,plain,(
% 46.81/6.67 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 46.81/6.67 inference(miniscoping,[status(thm)],[f21])).
% 46.81/6.67 fof(f142,plain,(
% 46.81/6.67 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 46.81/6.67 inference(cnf_transformation,[status(thm)],[f141])).
% 46.81/6.67 fof(f143,plain,(
% 46.81/6.67 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 46.81/6.67 inference(miniscoping,[status(thm)],[f22])).
% 46.81/6.67 fof(f144,plain,(
% 46.81/6.67 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 46.81/6.67 inference(cnf_transformation,[status(thm)],[f143])).
% 46.81/6.67 fof(f151,plain,(
% 46.81/6.67 ![X0,X1,X2]: (intersection(cross_product(X0,X1),X2)=restrict(X2,X0,X1))),
% 46.81/6.67 inference(cnf_transformation,[status(thm)],[f29])).
% 46.81/6.67 fof(f196,plain,(
% 46.81/6.67 intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation)))))=subset_relation),
% 46.81/6.67 inference(cnf_transformation,[status(thm)],[f74])).
% 46.81/6.67 fof(f197,plain,(
% 46.81/6.67 intersection(inverse(subset_relation),subset_relation)=identity_relation),
% 46.81/6.67 inference(cnf_transformation,[status(thm)],[f75])).
% 46.81/6.67 fof(f245,plain,(
% 46.81/6.67 ~subclass(identity_relation,cross_product(universal_class,universal_class))),
% 46.81/6.67 inference(cnf_transformation,[status(thm)],[f113])).
% 46.81/6.67 fof(f250,plain,(
% 46.81/6.67 restrict(intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation)))),universal_class,universal_class)=subset_relation),
% 46.81/6.67 inference(forward_demodulation,[status(thm)],[f151,f196])).
% 46.81/6.67 fof(f251,plain,(
% 46.81/6.67 restrict(restrict(complement(compose(complement(element_relation),inverse(element_relation))),universal_class,universal_class),universal_class,universal_class)=subset_relation),
% 46.81/6.67 inference(forward_demodulation,[status(thm)],[f151,f250])).
% 46.81/6.67 fof(f261,plain,(
% 46.81/6.67 ![X0,X1,X2]: (subclass(X0,X1)|~subclass(X2,X1)|~member(not_subclass_element(X0,X1),X2))),
% 46.81/6.75 inference(resolution,[status(thm)],[f117,f115])).
% 46.81/6.75 fof(f357,plain,(
% 46.81/6.75 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X0)|subclass(intersection(X0,X1),X2))),
% 46.81/6.75 inference(resolution,[status(thm)],[f142,f116])).
% 46.81/6.75 fof(f400,plain,(
% 46.81/6.75 ![X0]: (~member(X0,identity_relation)|member(X0,subset_relation))),
% 46.81/6.75 inference(paramodulation,[status(thm)],[f197,f144])).
% 46.81/6.75 fof(f409,plain,(
% 46.81/6.75 ![X0]: (member(not_subclass_element(identity_relation,X0),subset_relation)|subclass(identity_relation,X0))),
% 46.81/6.75 inference(resolution,[status(thm)],[f400,f116])).
% 46.81/6.75 fof(f854,plain,(
% 46.81/6.75 ![X0]: (subclass(identity_relation,X0)|subclass(identity_relation,X0)|~subclass(subset_relation,X0))),
% 46.81/6.75 inference(resolution,[status(thm)],[f409,f261])).
% 46.81/6.75 fof(f861,plain,(
% 46.81/6.75 ![X0]: (subclass(identity_relation,X0)|~subclass(subset_relation,X0))),
% 46.81/6.75 inference(duplicate_literals_removal,[status(thm)],[f854])).
% 46.81/6.75 fof(f2435,plain,(
% 46.81/6.75 ![X0,X1]: (subclass(intersection(X0,X1),X0)|subclass(intersection(X0,X1),X0))),
% 46.81/6.75 inference(resolution,[status(thm)],[f357,f117])).
% 46.81/6.75 fof(f2487,plain,(
% 46.81/6.75 ![X0,X1]: (subclass(intersection(X0,X1),X0))),
% 46.81/6.75 inference(duplicate_literals_removal,[status(thm)],[f2435])).
% 46.81/6.75 fof(f2657,plain,(
% 46.81/6.75 ![X0,X1,X2]: (subclass(restrict(X0,X1,X2),cross_product(X1,X2)))),
% 46.81/6.75 inference(paramodulation,[status(thm)],[f151,f2487])).
% 46.81/6.75 fof(f3745,plain,(
% 46.81/6.75 subclass(subset_relation,cross_product(universal_class,universal_class))),
% 46.81/6.75 inference(paramodulation,[status(thm)],[f251,f2657])).
% 46.81/6.75 fof(f3746,plain,(
% 46.81/6.75 subclass(identity_relation,cross_product(universal_class,universal_class))),
% 46.81/6.75 inference(resolution,[status(thm)],[f3745,f861])).
% 46.81/6.75 fof(f3759,plain,(
% 46.81/6.75 $false),
% 46.81/6.75 inference(forward_subsumption_resolution,[status(thm)],[f3746,f245])).
% 46.81/6.75 % SZS output end CNFRefutation for theBenchmark.p
% 46.81/6.76 % Elapsed time: 6.285344 seconds
% 46.81/6.76 % CPU time: 48.965861 seconds
% 46.81/6.76 % Total memory used: 345.269 MB
% 46.81/6.76 % Net memory used: 302.266 MB
%------------------------------------------------------------------------------