%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET553-6 : 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 : n026.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 02:12:11 PM UTC 2026
% Result : Unsatisfiable 0.25s 0.61s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET553-6 : 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 : n026.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 05:28:06 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.47 % Drodi V4.1.1
% 0.25/0.61 % Refutation found
% 0.25/0.61 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.25/0.61 % SZS output start CNFRefutation for theBenchmark
% 0.25/0.61 fof(f2,axiom,(
% 0.25/0.61 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.25/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.61 fof(f3,axiom,(
% 0.25/0.61 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 0.25/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.61 fof(f21,axiom,(
% 0.25/0.61 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 0.25/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.61 fof(f77,axiom,(
% 0.25/0.61 (![X]: (intersection(domain_of(X),diagonalise(compose(inverse(element_relation),X))) = cantor(X) ))),
% 0.25/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.61 fof(f113,negated_conjecture,(
% 0.25/0.61 ~ subclass(cantor(x),domain_of(x)) ),
% 0.25/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.61 fof(f116,plain,(
% 0.25/0.61 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.25/0.61 inference(cnf_transformation,[status(thm)],[f2])).
% 0.25/0.61 fof(f117,plain,(
% 0.25/0.61 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 0.25/0.61 inference(cnf_transformation,[status(thm)],[f3])).
% 0.25/0.61 fof(f141,plain,(
% 0.25/0.61 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 0.25/0.61 inference(miniscoping,[status(thm)],[f21])).
% 0.25/0.61 fof(f142,plain,(
% 0.25/0.61 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.25/0.61 inference(cnf_transformation,[status(thm)],[f141])).
% 0.25/0.61 fof(f199,plain,(
% 0.25/0.61 ![X0]: (intersection(domain_of(X0),diagonalise(compose(inverse(element_relation),X0)))=cantor(X0))),
% 0.25/0.61 inference(cnf_transformation,[status(thm)],[f77])).
% 0.25/0.61 fof(f245,plain,(
% 0.25/0.61 ~subclass(cantor(x),domain_of(x))),
% 0.25/0.61 inference(cnf_transformation,[status(thm)],[f113])).
% 0.25/0.61 fof(f336,plain,(
% 0.25/0.61 ![X0,X1]: (~member(X0,cantor(X1))|member(X0,domain_of(X1)))),
% 0.25/0.61 inference(paramodulation,[status(thm)],[f199,f142])).
% 0.25/0.61 fof(f342,plain,(
% 0.25/0.61 ![X0,X1]: (member(not_subclass_element(cantor(X0),X1),domain_of(X0))|subclass(cantor(X0),X1))),
% 0.25/0.61 inference(resolution,[status(thm)],[f336,f116])).
% 0.25/0.61 fof(f359,plain,(
% 0.25/0.61 ![X0]: (subclass(cantor(X0),domain_of(X0))|subclass(cantor(X0),domain_of(X0)))),
% 0.25/0.61 inference(resolution,[status(thm)],[f342,f117])).
% 0.25/0.61 fof(f362,plain,(
% 0.25/0.61 ![X0]: (subclass(cantor(X0),domain_of(X0)))),
% 0.25/0.61 inference(duplicate_literals_removal,[status(thm)],[f359])).
% 0.25/0.61 fof(f364,plain,(
% 0.25/0.61 $false),
% 0.25/0.61 inference(backward_subsumption_resolution,[status(thm)],[f245,f362])).
% 0.25/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 0.25/0.63 % Elapsed time: 0.162717 seconds
% 0.25/0.63 % CPU time: 0.752152 seconds
% 0.25/0.63 % Total memory used: 113.526 MB
% 0.25/0.63 % Net memory used: 112.766 MB
%------------------------------------------------------------------------------