%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET253-6 : 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 : n017.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 02:11:50 PM UTC 2026
% Result : Unsatisfiable 4.84s 1.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET253-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.57 % Computer : n017.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Mon Sep 21 04:58:14 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.59 % Drodi V4.1.1
% 4.84/1.52 % Refutation found
% 4.84/1.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.84/1.52 % SZS output start CNFRefutation for theBenchmark
% 4.84/1.52 fof(f2,axiom,(
% 4.84/1.52 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 4.84/1.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.84/1.52 fof(f3,axiom,(
% 4.84/1.52 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 4.84/1.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.84/1.52 fof(f21,axiom,(
% 4.84/1.52 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 4.84/1.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.84/1.52 fof(f29,axiom,(
% 4.84/1.52 (![X,Y,Xr]: (intersection(cross_product(X,Y),Xr) = restrict(Xr,X,Y) ))),
% 4.84/1.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.84/1.52 fof(f113,negated_conjecture,(
% 4.84/1.52 ~ subclass(restrict(x,y,z),cross_product(y,z)) ),
% 4.84/1.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.84/1.52 fof(f116,plain,(
% 4.84/1.52 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 4.84/1.52 inference(cnf_transformation,[status(thm)],[f2])).
% 4.84/1.52 fof(f117,plain,(
% 4.84/1.52 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 4.84/1.52 inference(cnf_transformation,[status(thm)],[f3])).
% 4.84/1.52 fof(f141,plain,(
% 4.84/1.52 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 4.84/1.52 inference(miniscoping,[status(thm)],[f21])).
% 4.84/1.52 fof(f142,plain,(
% 4.84/1.52 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 4.84/1.52 inference(cnf_transformation,[status(thm)],[f141])).
% 4.84/1.52 fof(f151,plain,(
% 4.84/1.52 ![X0,X1,X2]: (intersection(cross_product(X0,X1),X2)=restrict(X2,X0,X1))),
% 4.84/1.52 inference(cnf_transformation,[status(thm)],[f29])).
% 4.84/1.52 fof(f245,plain,(
% 4.84/1.52 ~subclass(restrict(x,y,z),cross_product(y,z))),
% 4.84/1.52 inference(cnf_transformation,[status(thm)],[f113])).
% 4.84/1.52 fof(f318,plain,(
% 4.84/1.52 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X0)|subclass(intersection(X0,X1),X2))),
% 4.84/1.52 inference(resolution,[status(thm)],[f142,f116])).
% 4.84/1.52 fof(f2628,plain,(
% 4.84/1.52 ![X0,X1]: (subclass(intersection(X0,X1),X0)|subclass(intersection(X0,X1),X0))),
% 4.84/1.52 inference(resolution,[status(thm)],[f318,f117])).
% 4.84/1.52 fof(f2693,plain,(
% 4.84/1.52 ![X0,X1]: (subclass(intersection(X0,X1),X0))),
% 4.84/1.52 inference(duplicate_literals_removal,[status(thm)],[f2628])).
% 4.84/1.52 fof(f3062,plain,(
% 4.84/1.52 ![X0,X1,X2]: (subclass(restrict(X0,X1,X2),cross_product(X1,X2)))),
% 4.84/1.52 inference(paramodulation,[status(thm)],[f151,f2693])).
% 4.84/1.52 fof(f5924,plain,(
% 4.84/1.52 $false),
% 4.84/1.52 inference(backward_subsumption_resolution,[status(thm)],[f245,f3062])).
% 4.84/1.52 % SZS output end CNFRefutation for theBenchmark.p
% 4.84/1.53 % Elapsed time: 0.940201 seconds
% 4.84/1.53 % CPU time: 7.172459 seconds
% 4.84/1.53 % Total memory used: 200.009 MB
% 4.84/1.53 % Net memory used: 184.820 MB
%------------------------------------------------------------------------------