%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET244-6 : 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 : n014.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 02:11:49 PM UTC 2026
% Result : Unsatisfiable 47.74s 6.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET244-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n014.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 05:03:04 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.46 % Drodi V4.1.1
% 47.74/6.60 % Refutation found
% 47.74/6.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 47.74/6.60 % SZS output start CNFRefutation for theBenchmark
% 47.74/6.60 fof(f1,axiom,(
% 47.74/6.60 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 47.74/6.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 47.74/6.60 fof(f2,axiom,(
% 47.74/6.60 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 47.74/6.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 47.74/6.60 fof(f3,axiom,(
% 47.74/6.60 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 47.74/6.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 47.74/6.60 fof(f4,axiom,(
% 47.74/6.60 (![X]: (subclass(X,universal_class) ))),
% 47.74/6.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 47.74/6.60 fof(f7,axiom,(
% 47.74/6.60 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 47.74/6.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 47.74/6.60 fof(f21,axiom,(
% 47.74/6.60 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 47.74/6.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 47.74/6.60 fof(f23,axiom,(
% 47.74/6.60 (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 47.74/6.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 47.74/6.60 fof(f29,axiom,(
% 47.74/6.60 (![X,Y,Xr]: (intersection(cross_product(X,Y),Xr) = restrict(Xr,X,Y) ))),
% 47.74/6.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 47.74/6.60 fof(f113,negated_conjecture,(
% 47.74/6.60 restrict(universal_class,x,y) != cross_product(x,y) ),
% 47.74/6.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 47.74/6.60 fof(f114,plain,(
% 47.74/6.60 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 47.74/6.60 inference(miniscoping,[status(thm)],[f1])).
% 47.74/6.60 fof(f115,plain,(
% 47.74/6.60 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 47.74/6.60 inference(cnf_transformation,[status(thm)],[f114])).
% 47.74/6.60 fof(f116,plain,(
% 47.74/6.60 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 47.74/6.60 inference(cnf_transformation,[status(thm)],[f2])).
% 47.74/6.60 fof(f117,plain,(
% 47.74/6.60 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 47.74/6.60 inference(cnf_transformation,[status(thm)],[f3])).
% 47.74/6.60 fof(f118,plain,(
% 47.74/6.60 ![X0]: (subclass(X0,universal_class))),
% 47.74/6.60 inference(cnf_transformation,[status(thm)],[f4])).
% 47.74/6.60 fof(f121,plain,(
% 47.74/6.60 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 47.74/6.60 inference(cnf_transformation,[status(thm)],[f7])).
% 47.74/6.60 fof(f141,plain,(
% 47.74/6.60 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 47.74/6.60 inference(miniscoping,[status(thm)],[f21])).
% 47.74/6.60 fof(f142,plain,(
% 47.74/6.60 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 47.74/6.60 inference(cnf_transformation,[status(thm)],[f141])).
% 47.74/6.60 fof(f145,plain,(
% 47.74/6.60 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 47.74/6.60 inference(cnf_transformation,[status(thm)],[f23])).
% 47.74/6.60 fof(f151,plain,(
% 47.74/6.60 ![X0,X1,X2]: (intersection(cross_product(X0,X1),X2)=restrict(X2,X0,X1))),
% 47.74/6.60 inference(cnf_transformation,[status(thm)],[f29])).
% 47.74/6.60 fof(f245,plain,(
% 47.74/6.60 ~restrict(universal_class,x,y)=cross_product(x,y)),
% 47.74/6.60 inference(cnf_transformation,[status(thm)],[f113])).
% 47.74/6.60 fof(f263,plain,(
% 47.74/6.60 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 47.74/6.60 inference(resolution,[status(thm)],[f118,f115])).
% 47.74/6.60 fof(f594,plain,(
% 47.74/6.60 ![X0,X1]: (member(not_subclass_element(X0,X1),universal_class)|subclass(X0,X1))),
% 47.74/6.60 inference(resolution,[status(thm)],[f263,f116])).
% 47.74/6.60 fof(f911,plain,(
% 47.74/6.60 ![X0,X1,X2,X3]: (~member(X0,restrict(X1,X2,X3))|member(X0,cross_product(X2,X3)))),
% 47.74/6.60 inference(paramodulation,[status(thm)],[f151,f142])).
% 47.74/6.60 fof(f978,plain,(
% 47.74/6.60 ![X0,X1,X2]: (~member(not_subclass_element(X0,X1),X2)|member(not_subclass_element(X0,X1),intersection(X0,X2))|subclass(X0,X1))),
% 47.74/6.60 inference(resolution,[status(thm)],[f145,f116])).
% 47.74/6.60 fof(f1049,plain,(
% 47.74/6.60 ![X0,X1,X2,X3]: (member(not_subclass_element(restrict(X0,X1,X2),X3),cross_product(X1,X2))|subclass(restrict(X0,X1,X2),X3))),
% 47.74/6.60 inference(resolution,[status(thm)],[f911,f116])).
% 47.74/6.60 fof(f13397,plain,(
% 47.74/6.60 ![X0,X1,X2]: (subclass(restrict(X0,X1,X2),cross_product(X1,X2))|subclass(restrict(X0,X1,X2),cross_product(X1,X2)))),
% 47.74/6.60 inference(resolution,[status(thm)],[f1049,f117])).
% 47.74/6.60 fof(f13423,plain,(
% 47.74/6.60 ![X0,X1,X2]: (subclass(restrict(X0,X1,X2),cross_product(X1,X2)))),
% 47.74/6.60 inference(duplicate_literals_removal,[status(thm)],[f13397])).
% 37.87/6.65 fof(f14025,plain,(
% 37.87/6.65 ![X0,X1]: (member(not_subclass_element(X0,X1),intersection(X0,universal_class))|subclass(X0,X1)|subclass(X0,X1))),
% 37.87/6.65 inference(resolution,[status(thm)],[f978,f594])).
% 37.87/6.65 fof(f14042,plain,(
% 37.87/6.65 ![X0,X1]: (member(not_subclass_element(X0,X1),intersection(X0,universal_class))|subclass(X0,X1))),
% 37.87/6.65 inference(duplicate_literals_removal,[status(thm)],[f14025])).
% 37.87/6.65 fof(f25326,plain,(
% 37.87/6.65 ![X0]: (subclass(X0,intersection(X0,universal_class))|subclass(X0,intersection(X0,universal_class)))),
% 37.87/6.65 inference(resolution,[status(thm)],[f14042,f117])).
% 37.87/6.65 fof(f25364,plain,(
% 37.87/6.65 ![X0]: (subclass(X0,intersection(X0,universal_class)))),
% 37.87/6.65 inference(duplicate_literals_removal,[status(thm)],[f25326])).
% 37.87/6.65 fof(f25380,plain,(
% 37.87/6.65 ![X0,X1]: (subclass(cross_product(X0,X1),restrict(universal_class,X0,X1)))),
% 37.87/6.65 inference(paramodulation,[status(thm)],[f151,f25364])).
% 37.87/6.65 fof(f25384,plain,(
% 37.87/6.65 ![X0,X1]: (~subclass(restrict(universal_class,X0,X1),cross_product(X0,X1))|restrict(universal_class,X0,X1)=cross_product(X0,X1))),
% 37.87/6.65 inference(resolution,[status(thm)],[f25380,f121])).
% 37.87/6.65 fof(f25386,plain,(
% 37.87/6.65 ![X0,X1]: (restrict(universal_class,X0,X1)=cross_product(X0,X1))),
% 37.87/6.65 inference(forward_subsumption_resolution,[status(thm)],[f25384,f13423])).
% 37.87/6.65 fof(f25402,plain,(
% 37.87/6.65 ~cross_product(x,y)=cross_product(x,y)),
% 37.87/6.65 inference(backward_demodulation,[status(thm)],[f25386,f245])).
% 37.87/6.65 fof(f25424,plain,(
% 37.87/6.65 $false),
% 37.87/6.65 inference(trivial_equality_resolution,[status(thm)],[f25402])).
% 37.87/6.65 % SZS output end CNFRefutation for theBenchmark.p
% 37.87/6.67 % Elapsed time: 6.213488 seconds
% 37.87/6.67 % CPU time: 48.684855 seconds
% 37.87/6.67 % Total memory used: 400.309 MB
% 37.87/6.67 % Net memory used: 349.655 MB
%------------------------------------------------------------------------------