%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET442-6 : 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 02:12:03 PM UTC 2026
% Result : Unsatisfiable 17.40s 2.82s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET442-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 % Computer : n015.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Mon Sep 21 05:21:07 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.51 % Drodi V4.1.1
% 17.40/2.82 % Refutation found
% 17.40/2.82 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 17.40/2.82 % SZS output start CNFRefutation for theBenchmark
% 17.40/2.82 fof(f1,axiom,(
% 17.40/2.82 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 17.40/2.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.40/2.82 fof(f2,axiom,(
% 17.40/2.82 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 17.40/2.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.40/2.82 fof(f3,axiom,(
% 17.40/2.82 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 17.40/2.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.40/2.82 fof(f7,axiom,(
% 17.40/2.82 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 17.40/2.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.40/2.82 fof(f21,axiom,(
% 17.40/2.82 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 17.40/2.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.40/2.82 fof(f23,axiom,(
% 17.40/2.82 (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 17.40/2.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.40/2.82 fof(f28,axiom,(
% 17.40/2.82 (![Xr,X,Y]: (intersection(Xr,cross_product(X,Y)) = restrict(Xr,X,Y) ))),
% 17.40/2.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.40/2.82 fof(f29,axiom,(
% 17.40/2.82 (![X,Y,Xr]: (intersection(cross_product(X,Y),Xr) = restrict(Xr,X,Y) ))),
% 17.40/2.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.40/2.82 fof(f62,axiom,(
% 17.40/2.82 (![Xf]: (( ~ function(Xf)| subclass(Xf,cross_product(universal_class,universal_class)) ) ))),
% 17.40/2.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.40/2.82 fof(f113,negated_conjecture,(
% 17.40/2.82 function(xf) ),
% 17.40/2.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.40/2.82 fof(f114,negated_conjecture,(
% 17.40/2.82 restrict(xf,universal_class,universal_class) != xf ),
% 17.40/2.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.40/2.82 fof(f115,plain,(
% 17.40/2.82 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 17.40/2.82 inference(miniscoping,[status(thm)],[f1])).
% 17.40/2.82 fof(f116,plain,(
% 17.40/2.82 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 17.40/2.82 inference(cnf_transformation,[status(thm)],[f115])).
% 17.40/2.82 fof(f117,plain,(
% 17.40/2.82 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 17.40/2.82 inference(cnf_transformation,[status(thm)],[f2])).
% 17.40/2.82 fof(f118,plain,(
% 17.40/2.82 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 17.40/2.82 inference(cnf_transformation,[status(thm)],[f3])).
% 17.40/2.82 fof(f122,plain,(
% 17.40/2.82 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 17.40/2.82 inference(cnf_transformation,[status(thm)],[f7])).
% 17.40/2.82 fof(f142,plain,(
% 17.40/2.82 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 17.40/2.82 inference(miniscoping,[status(thm)],[f21])).
% 17.40/2.82 fof(f143,plain,(
% 17.40/2.82 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 17.40/2.82 inference(cnf_transformation,[status(thm)],[f142])).
% 17.40/2.82 fof(f146,plain,(
% 17.40/2.82 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 17.40/2.82 inference(cnf_transformation,[status(thm)],[f23])).
% 17.40/2.82 fof(f151,plain,(
% 17.40/2.82 ![X0,X1,X2]: (intersection(X0,cross_product(X1,X2))=restrict(X0,X1,X2))),
% 17.40/2.82 inference(cnf_transformation,[status(thm)],[f28])).
% 17.40/2.82 fof(f152,plain,(
% 17.40/2.82 ![X0,X1,X2]: (intersection(cross_product(X0,X1),X2)=restrict(X2,X0,X1))),
% 17.40/2.82 inference(cnf_transformation,[status(thm)],[f29])).
% 17.40/2.82 fof(f185,plain,(
% 17.40/2.82 ![X0]: (~function(X0)|subclass(X0,cross_product(universal_class,universal_class)))),
% 17.40/2.82 inference(cnf_transformation,[status(thm)],[f62])).
% 17.40/2.82 fof(f246,plain,(
% 17.40/2.82 function(xf)),
% 17.40/2.82 inference(cnf_transformation,[status(thm)],[f113])).
% 17.40/2.82 fof(f247,plain,(
% 17.40/2.82 ~restrict(xf,universal_class,universal_class)=xf),
% 17.40/2.82 inference(cnf_transformation,[status(thm)],[f114])).
% 17.40/2.82 fof(f261,plain,(
% 17.40/2.82 ![X0,X1,X2]: (subclass(X0,X1)|~subclass(X0,X2)|member(not_subclass_element(X0,X1),X2))),
% 17.40/2.82 inference(resolution,[status(thm)],[f117,f116])).
% 17.40/2.82 fof(f383,plain,(
% 17.40/2.82 ![X0,X1,X2,X3]: (~member(X0,restrict(X1,X2,X3))|member(X0,X1))),
% 17.40/2.82 inference(paramodulation,[status(thm)],[f151,f143])).
% 17.40/2.82 fof(f387,plain,(
% 17.40/2.82 ![X0,X1,X2]: (~member(not_subclass_element(X0,intersection(X1,X2)),X1)|~member(not_subclass_element(X0,intersection(X1,X2)),X2)|subclass(X0,intersection(X1,X2)))),
% 17.40/2.82 inference(resolution,[status(thm)],[f146,f118])).
% 17.40/2.82 fof(f401,plain,(
% 17.40/2.82 ![X0,X1,X2,X3]: (member(not_subclass_element(restrict(X0,X1,X2),X3),X0)|subclass(restrict(X0,X1,X2),X3))),
% 17.40/2.85 inference(resolution,[status(thm)],[f383,f117])).
% 17.40/2.85 fof(f412,plain,(
% 17.40/2.85 ![X0,X1,X2]: (subclass(restrict(X0,X1,X2),X0)|subclass(restrict(X0,X1,X2),X0))),
% 17.40/2.85 inference(resolution,[status(thm)],[f401,f118])).
% 17.40/2.85 fof(f430,plain,(
% 17.40/2.85 ![X0,X1,X2]: (subclass(restrict(X0,X1,X2),X0))),
% 17.40/2.85 inference(duplicate_literals_removal,[status(thm)],[f412])).
% 17.40/2.85 fof(f442,plain,(
% 17.40/2.85 ![X0,X1,X2]: (~subclass(X0,restrict(X0,X1,X2))|X0=restrict(X0,X1,X2))),
% 17.40/2.85 inference(resolution,[status(thm)],[f430,f122])).
% 17.40/2.85 fof(f1036,plain,(
% 17.40/2.85 ![X0,X1]: (subclass(X0,X1)|member(not_subclass_element(X0,X1),cross_product(universal_class,universal_class))|~function(X0))),
% 17.40/2.85 inference(resolution,[status(thm)],[f261,f185])).
% 17.40/2.85 fof(f1518,plain,(
% 17.40/2.85 ![X0,X1]: (~member(not_subclass_element(X0,intersection(X1,X0)),X1)|subclass(X0,intersection(X1,X0))|subclass(X0,intersection(X1,X0)))),
% 17.40/2.85 inference(resolution,[status(thm)],[f387,f117])).
% 17.40/2.85 fof(f1546,plain,(
% 17.40/2.85 ![X0,X1]: (~member(not_subclass_element(X0,intersection(X1,X0)),X1)|subclass(X0,intersection(X1,X0)))),
% 17.40/2.85 inference(duplicate_literals_removal,[status(thm)],[f1518])).
% 17.40/2.85 fof(f2174,plain,(
% 17.40/2.85 ![X0]: (subclass(xf,X0)|member(not_subclass_element(xf,X0),cross_product(universal_class,universal_class)))),
% 17.40/2.85 inference(resolution,[status(thm)],[f1036,f246])).
% 17.40/2.85 fof(f20347,plain,(
% 17.40/2.85 subclass(xf,intersection(cross_product(universal_class,universal_class),xf))|subclass(xf,intersection(cross_product(universal_class,universal_class),xf))),
% 17.40/2.85 inference(resolution,[status(thm)],[f1546,f2174])).
% 17.40/2.85 fof(f20466,plain,(
% 17.40/2.85 subclass(xf,restrict(xf,universal_class,universal_class))|subclass(xf,intersection(cross_product(universal_class,universal_class),xf))),
% 17.40/2.85 inference(forward_demodulation,[status(thm)],[f152,f20347])).
% 17.40/2.85 fof(f20467,plain,(
% 17.40/2.85 subclass(xf,restrict(xf,universal_class,universal_class))|subclass(xf,restrict(xf,universal_class,universal_class))),
% 17.40/2.85 inference(forward_demodulation,[status(thm)],[f152,f20466])).
% 17.40/2.85 fof(f20468,plain,(
% 17.40/2.85 subclass(xf,restrict(xf,universal_class,universal_class))),
% 17.40/2.85 inference(duplicate_literals_removal,[status(thm)],[f20467])).
% 17.40/2.85 fof(f21648,plain,(
% 17.40/2.85 xf=restrict(xf,universal_class,universal_class)),
% 17.40/2.85 inference(resolution,[status(thm)],[f20468,f442])).
% 17.40/2.85 fof(f21655,plain,(
% 17.40/2.85 $false),
% 17.40/2.85 inference(forward_subsumption_resolution,[status(thm)],[f21648,f247])).
% 17.40/2.85 % SZS output end CNFRefutation for theBenchmark.p
% 12.90/2.89 % Elapsed time: 2.398247 seconds
% 12.90/2.89 % CPU time: 18.331682 seconds
% 12.90/2.89 % Total memory used: 265.330 MB
% 12.90/2.89 % Net memory used: 244.535 MB
%------------------------------------------------------------------------------