%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET257-6 : 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 : n005.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 02:11:51 PM UTC 2026
% Result : Unsatisfiable 6.21s 1.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET257-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 05:03:33 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 6.21/1.47 % Refutation found
% 6.21/1.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.21/1.47 % SZS output start CNFRefutation for theBenchmark
% 6.21/1.47 fof(f2,axiom,(
% 6.21/1.47 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 6.21/1.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.21/1.47 fof(f3,axiom,(
% 6.21/1.47 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 6.21/1.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.21/1.47 fof(f7,axiom,(
% 6.21/1.47 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 6.21/1.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.21/1.47 fof(f22,axiom,(
% 6.21/1.47 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 6.21/1.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.21/1.47 fof(f23,axiom,(
% 6.21/1.47 (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 6.21/1.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.21/1.47 fof(f29,axiom,(
% 6.21/1.47 (![X,Y,Xr]: (intersection(cross_product(X,Y),Xr) = restrict(Xr,X,Y) ))),
% 6.21/1.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.21/1.47 fof(f113,negated_conjecture,(
% 6.21/1.47 restrict(cross_product(x,y),x,y) != cross_product(x,y) ),
% 6.21/1.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.21/1.47 fof(f116,plain,(
% 6.21/1.47 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 6.21/1.47 inference(cnf_transformation,[status(thm)],[f2])).
% 6.21/1.47 fof(f117,plain,(
% 6.21/1.47 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 6.21/1.47 inference(cnf_transformation,[status(thm)],[f3])).
% 6.21/1.47 fof(f121,plain,(
% 6.21/1.47 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 6.21/1.47 inference(cnf_transformation,[status(thm)],[f7])).
% 6.21/1.47 fof(f143,plain,(
% 6.21/1.47 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 6.21/1.47 inference(miniscoping,[status(thm)],[f22])).
% 6.21/1.47 fof(f144,plain,(
% 6.21/1.47 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 6.21/1.47 inference(cnf_transformation,[status(thm)],[f143])).
% 6.21/1.47 fof(f145,plain,(
% 6.21/1.47 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 6.21/1.47 inference(cnf_transformation,[status(thm)],[f23])).
% 6.21/1.47 fof(f151,plain,(
% 6.21/1.47 ![X0,X1,X2]: (intersection(cross_product(X0,X1),X2)=restrict(X2,X0,X1))),
% 6.21/1.47 inference(cnf_transformation,[status(thm)],[f29])).
% 6.21/1.47 fof(f245,plain,(
% 6.21/1.47 ~restrict(cross_product(x,y),x,y)=cross_product(x,y)),
% 6.21/1.47 inference(cnf_transformation,[status(thm)],[f113])).
% 6.21/1.47 fof(f439,plain,(
% 6.21/1.47 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X1)|subclass(intersection(X0,X1),X2))),
% 6.21/1.47 inference(resolution,[status(thm)],[f144,f116])).
% 6.21/1.47 fof(f460,plain,(
% 6.21/1.47 ![X0,X1]: (member(not_subclass_element(X0,X1),intersection(X0,X0))|subclass(X0,X1))),
% 6.21/1.47 inference(resolution,[status(thm)],[f145,f116])).
% 6.21/1.47 fof(f4636,plain,(
% 6.21/1.47 ![X0,X1]: (subclass(intersection(X0,X1),X1)|subclass(intersection(X0,X1),X1))),
% 6.21/1.47 inference(resolution,[status(thm)],[f439,f117])).
% 6.21/1.47 fof(f4702,plain,(
% 6.21/1.47 ![X0,X1]: (subclass(intersection(X0,X1),X1))),
% 6.21/1.47 inference(duplicate_literals_removal,[status(thm)],[f4636])).
% 6.21/1.47 fof(f5160,plain,(
% 6.21/1.47 ![X0]: (subclass(X0,intersection(X0,X0))|subclass(X0,intersection(X0,X0)))),
% 6.21/1.47 inference(resolution,[status(thm)],[f460,f117])).
% 6.21/1.47 fof(f5196,plain,(
% 6.21/1.47 ![X0]: (subclass(X0,intersection(X0,X0)))),
% 6.21/1.47 inference(duplicate_literals_removal,[status(thm)],[f5160])).
% 6.21/1.47 fof(f5425,plain,(
% 6.21/1.47 ![X0]: (~subclass(intersection(X0,X0),X0)|intersection(X0,X0)=X0)),
% 6.21/1.47 inference(resolution,[status(thm)],[f5196,f121])).
% 6.21/1.47 fof(f5432,plain,(
% 6.21/1.47 ![X0]: (intersection(X0,X0)=X0)),
% 6.21/1.47 inference(forward_subsumption_resolution,[status(thm)],[f5425,f4702])).
% 6.21/1.47 fof(f5440,plain,(
% 6.21/1.47 ![X0,X1]: (restrict(cross_product(X0,X1),X0,X1)=cross_product(X0,X1))),
% 6.21/1.47 inference(paramodulation,[status(thm)],[f151,f5432])).
% 6.21/1.47 fof(f5782,plain,(
% 6.21/1.47 ~cross_product(x,y)=cross_product(x,y)),
% 6.21/1.47 inference(backward_demodulation,[status(thm)],[f5440,f245])).
% 6.21/1.47 fof(f5792,plain,(
% 6.21/1.47 $false),
% 6.21/1.47 inference(trivial_equality_resolution,[status(thm)],[f5782])).
% 6.21/1.47 % SZS output end CNFRefutation for theBenchmark.p
% 6.21/1.50 % Elapsed time: 1.111575 seconds
% 6.21/1.50 % CPU time: 8.271236 seconds
% 6.21/1.50 % Total memory used: 180.079 MB
% 6.21/1.50 % Net memory used: 167.852 MB
%------------------------------------------------------------------------------