%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET230-6 : 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 : n007.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 02:11:48 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET230-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 04:59:36 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.41 fof(f1,axiom,(
% 0.13/0.41 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f2,axiom,(
% 0.13/0.41 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f3,axiom,(
% 0.13/0.41 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f7,axiom,(
% 0.13/0.41 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f15,axiom,(
% 0.13/0.41 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(V,Y) ) ))),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f16,axiom,(
% 0.13/0.41 (![U,X,V,Y]: (( ~ member(U,X)| ~ member(V,Y)| member(ordered_pair(U,V),cross_product(X,Y)) ) ))),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f113,negated_conjecture,(
% 0.13/0.41 cross_product(u,u) = cross_product(w,w) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f114,negated_conjecture,(
% 0.13/0.41 u != w ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f115,plain,(
% 0.13/0.41 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.13/0.41 inference(miniscoping,[status(thm)],[f1])).
% 0.13/0.41 fof(f116,plain,(
% 0.13/0.41 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f115])).
% 0.13/0.41 fof(f117,plain,(
% 0.13/0.41 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.41 fof(f118,plain,(
% 0.13/0.41 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.41 fof(f122,plain,(
% 0.13/0.41 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.41 fof(f134,plain,(
% 0.13/0.41 ![V,Y]: ((![U,X]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(V,Y))),
% 0.13/0.41 inference(miniscoping,[status(thm)],[f15])).
% 0.13/0.41 fof(f135,plain,(
% 0.13/0.41 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X1,X3))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f134])).
% 0.13/0.41 fof(f136,plain,(
% 0.13/0.41 ![X0,X1,X2,X3]: (~member(X0,X1)|~member(X2,X3)|member(ordered_pair(X0,X2),cross_product(X1,X3)))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.41 fof(f246,plain,(
% 0.13/0.41 cross_product(u,u)=cross_product(w,w)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f113])).
% 0.13/0.41 fof(f247,plain,(
% 0.13/0.41 ~u=w),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f114])).
% 0.13/0.41 fof(f251,plain,(
% 0.13/0.41 ![X0,X1]: (~member(ordered_pair(X0,X1),cross_product(u,u))|member(X1,w))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f246,f135])).
% 0.13/0.41 fof(f263,plain,(
% 0.13/0.41 ![X0,X1,X2,X3]: (subclass(X0,X1)|~member(X2,X3)|member(ordered_pair(X2,not_subclass_element(X0,X1)),cross_product(X3,X0)))),
% 0.13/0.41 inference(resolution,[status(thm)],[f117,f136])).
% 0.13/0.41 fof(f265,plain,(
% 0.13/0.41 ![X0,X1,X2,X3]: (subclass(X0,X1)|member(ordered_pair(not_subclass_element(X2,X3),not_subclass_element(X0,X1)),cross_product(X2,X0))|subclass(X2,X3))),
% 0.13/0.41 inference(resolution,[status(thm)],[f263,f117])).
% 0.13/0.41 fof(f272,plain,(
% 0.13/0.41 ![X0,X1]: (subclass(u,X0)|subclass(u,X1)|member(not_subclass_element(u,X0),w))),
% 0.13/0.41 inference(resolution,[status(thm)],[f265,f251])).
% 0.13/0.41 fof(f279,plain,(
% 0.13/0.41 ![X0,X1]: (subclass(w,X0)|member(ordered_pair(not_subclass_element(w,X1),not_subclass_element(w,X0)),cross_product(u,u))|subclass(w,X1))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f246,f265])).
% 0.13/0.41 fof(f280,plain,(
% 0.13/0.41 ![X0,X1]: (subclass(u,X0)|member(not_subclass_element(u,X0),w)|~subclass(X1,u)|X1=u)),
% 0.13/0.41 inference(resolution,[status(thm)],[f272,f122])).
% 0.13/0.41 fof(f281,plain,(
% 0.13/0.41 ![X0]: (subclass(u,w)|subclass(u,X0)|subclass(u,w))),
% 0.13/0.41 inference(resolution,[status(thm)],[f272,f118])).
% 0.13/0.41 fof(f285,plain,(
% 0.13/0.41 ![X0]: (subclass(u,w)|subclass(u,X0))),
% 0.13/0.41 inference(duplicate_literals_removal,[status(thm)],[f281])).
% 0.13/0.41 fof(f295,plain,(
% 0.13/0.41 ![X0,X1]: (subclass(w,X0)|subclass(w,X1)|member(not_subclass_element(w,X0),u))),
% 0.13/0.41 inference(resolution,[status(thm)],[f279,f135])).
% 0.13/0.41 fof(f316,plain,(
% 0.13/0.41 ![X0]: (subclass(w,u)|subclass(w,X0)|subclass(w,u))),
% 0.13/0.41 inference(resolution,[status(thm)],[f295,f118])).
% 0.13/0.41 fof(f321,plain,(
% 0.13/0.41 ![X0]: (subclass(w,u)|subclass(w,X0))),
% 0.13/0.41 inference(duplicate_literals_removal,[status(thm)],[f316])).
% 0.13/0.41 fof(f324,plain,(
% 0.13/0.41 ![X0]: (subclass(u,X0)|member(not_subclass_element(u,X0),w)|w=u)),
% 0.13/0.41 inference(resolution,[status(thm)],[f321,f280])).
% 0.13/0.41 fof(f331,plain,(
% 0.13/0.41 ![X0]: (subclass(u,X0)|member(not_subclass_element(u,X0),w))),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f324,f247])).
% 0.13/0.41 fof(f338,plain,(
% 0.13/0.41 ![X0,X1]: (subclass(u,X0)|~subclass(w,X1)|member(not_subclass_element(u,X0),X1))),
% 0.13/0.41 inference(resolution,[status(thm)],[f331,f116])).
% 0.13/0.41 fof(f348,plain,(
% 0.13/0.41 ![X0,X1]: (subclass(u,X0)|member(not_subclass_element(u,X0),X1)|subclass(w,u))),
% 0.13/0.41 inference(resolution,[status(thm)],[f338,f321])).
% 0.13/0.41 fof(f361,plain,(
% 0.13/0.41 ![X0]: (subclass(u,X0)|subclass(w,u)|subclass(u,X0))),
% 0.13/0.41 inference(resolution,[status(thm)],[f348,f118])).
% 0.13/0.41 fof(f368,plain,(
% 0.13/0.41 ![X0]: (subclass(u,X0)|subclass(w,u))),
% 0.13/0.41 inference(duplicate_literals_removal,[status(thm)],[f361])).
% 0.13/0.41 fof(f369,plain,(
% 0.13/0.41 ![X0]: (subclass(w,u)|~subclass(X0,u)|X0=u)),
% 0.13/0.41 inference(resolution,[status(thm)],[f368,f122])).
% 0.13/0.41 fof(f371,plain,(
% 0.13/0.41 ![X0]: (subclass(u,X0)|~subclass(u,w)|u=w)),
% 0.13/0.41 inference(resolution,[status(thm)],[f368,f122])).
% 0.13/0.41 fof(f372,plain,(
% 0.13/0.41 ![X0]: (subclass(u,X0)|u=w)),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f371,f285])).
% 0.13/0.41 fof(f373,plain,(
% 0.13/0.41 ![X0]: (subclass(u,X0))),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f372,f247])).
% 0.13/0.41 fof(f375,plain,(
% 0.13/0.41 ![X0]: (~subclass(X0,u)|X0=u|~subclass(u,w)|u=w)),
% 0.13/0.41 inference(resolution,[status(thm)],[f369,f122])).
% 0.13/0.41 fof(f376,plain,(
% 0.13/0.41 ![X0]: (~subclass(X0,u)|X0=u|u=w)),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f375,f373])).
% 0.13/0.41 fof(f377,plain,(
% 0.13/0.41 ![X0]: (~subclass(X0,u)|X0=u)),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f376,f247])).
% 0.13/0.41 fof(f379,plain,(
% 0.13/0.41 w=u),
% 0.13/0.41 inference(resolution,[status(thm)],[f377,f321])).
% 0.13/0.41 fof(f387,plain,(
% 0.13/0.41 $false),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f379,f247])).
% 0.13/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.45 % Elapsed time: 0.072617 seconds
% 0.13/0.45 % CPU time: 0.257311 seconds
% 0.13/0.45 % Total memory used: 107.847 MB
% 0.13/0.45 % Net memory used: 107.429 MB
%------------------------------------------------------------------------------