%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET217-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 02:11:47 PM UTC 2026
% Result : Unsatisfiable 93.38s 32.62s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET217-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.16/20.69 % CPULimit : 300
% 0.16/20.69 % WCLimit : 300
% 0.16/20.69 % DateTime : Mon Sep 21 05:01:15 UTC 2026
% 0.16/20.70 % CPUTime :
% 0.58/20.72 % Drodi V4.1.1
% 93.38/32.62 % Refutation found
% 93.38/32.62 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 93.38/32.62 % SZS output start CNFRefutation for theBenchmark
% 93.38/32.62 fof(f2,axiom,(
% 93.38/32.62 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 93.38/32.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.38/32.62 fof(f3,axiom,(
% 93.38/32.62 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 93.38/32.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.38/32.62 fof(f14,axiom,(
% 93.38/32.62 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(U,X) ) ))),
% 93.38/32.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.38/32.62 fof(f15,axiom,(
% 93.38/32.62 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(V,Y) ) ))),
% 93.38/32.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.38/32.62 fof(f16,axiom,(
% 93.38/32.62 (![U,X,V,Y]: (( ~ member(U,X)| ~ member(V,Y)| member(ordered_pair(U,V),cross_product(X,Y)) ) ))),
% 93.38/32.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.38/32.62 fof(f17,axiom,(
% 93.38/32.62 (![Z,X,Y]: (( ~ member(Z,cross_product(X,Y))| ordered_pair(first(Z),second(Z)) = Z ) ))),
% 93.38/32.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.38/32.62 fof(f22,axiom,(
% 93.38/32.62 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 93.38/32.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.38/32.62 fof(f113,negated_conjecture,(
% 93.38/32.62 ~ subclass(cross_product(x,intersection(y,z)),cross_product(x,z)) ),
% 93.38/32.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.38/32.62 fof(f116,plain,(
% 93.38/32.62 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 93.38/32.62 inference(cnf_transformation,[status(thm)],[f2])).
% 93.38/32.62 fof(f117,plain,(
% 93.38/32.62 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 93.38/32.62 inference(cnf_transformation,[status(thm)],[f3])).
% 93.38/32.62 fof(f131,plain,(
% 93.38/32.62 ![U,X]: ((![V,Y]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(U,X))),
% 93.38/32.62 inference(miniscoping,[status(thm)],[f14])).
% 93.38/32.62 fof(f132,plain,(
% 93.38/32.62 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X0,X2))),
% 93.38/32.62 inference(cnf_transformation,[status(thm)],[f131])).
% 93.38/32.62 fof(f133,plain,(
% 93.38/32.62 ![V,Y]: ((![U,X]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(V,Y))),
% 93.38/32.62 inference(miniscoping,[status(thm)],[f15])).
% 93.38/32.62 fof(f134,plain,(
% 93.38/32.62 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X1,X3))),
% 93.38/32.62 inference(cnf_transformation,[status(thm)],[f133])).
% 93.38/32.62 fof(f135,plain,(
% 93.38/32.62 ![X0,X1,X2,X3]: (~member(X0,X1)|~member(X2,X3)|member(ordered_pair(X0,X2),cross_product(X1,X3)))),
% 93.38/32.62 inference(cnf_transformation,[status(thm)],[f16])).
% 93.38/32.62 fof(f136,plain,(
% 93.38/32.62 ![Z]: ((![X,Y]: ~member(Z,cross_product(X,Y)))|ordered_pair(first(Z),second(Z))=Z)),
% 93.38/32.62 inference(miniscoping,[status(thm)],[f17])).
% 93.38/32.62 fof(f137,plain,(
% 93.38/32.62 ![X0,X1,X2]: (~member(X0,cross_product(X1,X2))|ordered_pair(first(X0),second(X0))=X0)),
% 93.38/32.62 inference(cnf_transformation,[status(thm)],[f136])).
% 93.38/32.62 fof(f143,plain,(
% 93.38/32.62 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 93.38/32.62 inference(miniscoping,[status(thm)],[f22])).
% 93.38/32.62 fof(f144,plain,(
% 93.38/32.62 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 93.38/32.62 inference(cnf_transformation,[status(thm)],[f143])).
% 93.38/32.62 fof(f245,plain,(
% 93.38/32.62 ~subclass(cross_product(x,intersection(y,z)),cross_product(x,z))),
% 93.38/32.62 inference(cnf_transformation,[status(thm)],[f113])).
% 93.38/32.62 fof(f1226,plain,(
% 93.38/32.62 ![X0,X1,X2]: (ordered_pair(first(not_subclass_element(cross_product(X0,X1),X2)),second(not_subclass_element(cross_product(X0,X1),X2)))=not_subclass_element(cross_product(X0,X1),X2)|subclass(cross_product(X0,X1),X2))),
% 93.38/32.62 inference(resolution,[status(thm)],[f137,f116])).
% 93.38/32.62 fof(f3704,plain,(
% 93.38/32.62 ordered_pair(first(not_subclass_element(cross_product(x,intersection(y,z)),cross_product(x,z))),second(not_subclass_element(cross_product(x,intersection(y,z)),cross_product(x,z))))=not_subclass_element(cross_product(x,intersection(y,z)),cross_product(x,z))),
% 93.38/32.62 inference(resolution,[status(thm)],[f1226,f245])).
% 93.38/32.62 fof(f4090,plain,(
% 93.38/32.62 ![X0,X1]: (~member(first(not_subclass_element(cross_product(x,intersection(y,z)),cross_product(x,z))),X0)|~member(second(not_subclass_element(cross_product(x,intersection(y,z)),cross_product(x,z))),X1)|member(not_subclass_element(cross_product(x,intersection(y,z)),cross_product(x,z)),cross_product(X0,X1)))),
% 94.13/32.64 inference(paramodulation,[status(thm)],[f3704,f135])).
% 94.13/32.64 fof(f4091,plain,(
% 94.13/32.64 ![X0,X1]: (~member(not_subclass_element(cross_product(x,intersection(y,z)),cross_product(x,z)),cross_product(X0,X1))|member(second(not_subclass_element(cross_product(x,intersection(y,z)),cross_product(x,z))),X1))),
% 94.13/32.64 inference(paramodulation,[status(thm)],[f3704,f134])).
% 94.13/32.64 fof(f4092,plain,(
% 94.13/32.64 ![X0,X1]: (~member(not_subclass_element(cross_product(x,intersection(y,z)),cross_product(x,z)),cross_product(X0,X1))|member(first(not_subclass_element(cross_product(x,intersection(y,z)),cross_product(x,z))),X0))),
% 94.13/32.64 inference(paramodulation,[status(thm)],[f3704,f132])).
% 94.13/32.64 fof(f6853,plain,(
% 94.13/32.64 member(second(not_subclass_element(cross_product(x,intersection(y,z)),cross_product(x,z))),intersection(y,z))|subclass(cross_product(x,intersection(y,z)),cross_product(x,z))),
% 94.13/32.64 inference(resolution,[status(thm)],[f4091,f116])).
% 94.13/32.64 fof(f6858,plain,(
% 94.13/32.64 member(second(not_subclass_element(cross_product(x,intersection(y,z)),cross_product(x,z))),intersection(y,z))),
% 94.13/32.64 inference(forward_subsumption_resolution,[status(thm)],[f6853,f245])).
% 94.13/32.64 fof(f6859,plain,(
% 94.13/32.64 member(second(not_subclass_element(cross_product(x,intersection(y,z)),cross_product(x,z))),z)),
% 94.13/32.64 inference(resolution,[status(thm)],[f6858,f144])).
% 94.13/32.64 fof(f10484,plain,(
% 94.13/32.64 ~member(first(not_subclass_element(cross_product(x,intersection(y,z)),cross_product(x,z))),x)|~member(second(not_subclass_element(cross_product(x,intersection(y,z)),cross_product(x,z))),z)|subclass(cross_product(x,intersection(y,z)),cross_product(x,z))),
% 94.13/32.64 inference(resolution,[status(thm)],[f4090,f117])).
% 94.13/32.64 fof(f10486,plain,(
% 94.13/32.64 ~member(first(not_subclass_element(cross_product(x,intersection(y,z)),cross_product(x,z))),x)|subclass(cross_product(x,intersection(y,z)),cross_product(x,z))),
% 94.13/32.64 inference(forward_subsumption_resolution,[status(thm)],[f10484,f6859])).
% 94.13/32.64 fof(f13205,plain,(
% 94.13/32.64 ~member(first(not_subclass_element(cross_product(x,intersection(y,z)),cross_product(x,z))),x)),
% 94.13/32.64 inference(forward_subsumption_resolution,[status(thm)],[f10486,f245])).
% 94.13/32.64 fof(f13216,plain,(
% 94.13/32.64 member(first(not_subclass_element(cross_product(x,intersection(y,z)),cross_product(x,z))),x)|subclass(cross_product(x,intersection(y,z)),cross_product(x,z))),
% 94.13/32.64 inference(resolution,[status(thm)],[f4092,f116])).
% 94.13/32.64 fof(f13221,plain,(
% 94.13/32.64 subclass(cross_product(x,intersection(y,z)),cross_product(x,z))),
% 94.13/32.64 inference(forward_subsumption_resolution,[status(thm)],[f13216,f13205])).
% 94.13/32.64 fof(f15213,plain,(
% 94.13/32.64 $false),
% 94.13/32.64 inference(forward_subsumption_resolution,[status(thm)],[f13221,f245])).
% 94.13/32.64 % SZS output end CNFRefutation for theBenchmark.p
% 18.17/32.73 % Elapsed time: 12.017388 seconds
% 18.17/32.73 % CPU time: 94.464324 seconds
% 18.17/32.73 % Total memory used: 810.766 MB
% 18.17/32.73 % Net memory used: 719.757 MB
%------------------------------------------------------------------------------