%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET235-6 : 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 : n001.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 0.10s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET235-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n001.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
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 05:08:16 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41 fof(f1,axiom,(
% 0.10/0.41 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f2,axiom,(
% 0.10/0.41 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f17,axiom,(
% 0.10/0.41 (![Z,X,Y]: (( ~ member(Z,cross_product(X,Y))| ordered_pair(first(Z),second(Z)) = Z ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f113,negated_conjecture,(
% 0.10/0.41 subclass(x,cross_product(universal_class,universal_class)) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f114,negated_conjecture,(
% 0.10/0.41 ~ member(ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))),x) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f115,negated_conjecture,(
% 0.10/0.41 ~ subclass(x,y) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f116,plain,(
% 0.10/0.41 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f1])).
% 0.10/0.41 fof(f117,plain,(
% 0.10/0.41 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f116])).
% 0.10/0.41 fof(f118,plain,(
% 0.10/0.41 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.41 fof(f138,plain,(
% 0.10/0.41 ![Z]: ((![X,Y]: ~member(Z,cross_product(X,Y)))|ordered_pair(first(Z),second(Z))=Z)),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f17])).
% 0.10/0.41 fof(f139,plain,(
% 0.10/0.41 ![X0,X1,X2]: (~member(X0,cross_product(X1,X2))|ordered_pair(first(X0),second(X0))=X0)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f138])).
% 0.10/0.41 fof(f247,plain,(
% 0.10/0.41 subclass(x,cross_product(universal_class,universal_class))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f113])).
% 0.10/0.41 fof(f248,plain,(
% 0.10/0.41 ~member(ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))),x)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f114])).
% 0.10/0.41 fof(f249,plain,(
% 0.10/0.41 ~subclass(x,y)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f115])).
% 0.10/0.41 fof(f254,plain,(
% 0.10/0.41 ![X0]: (~member(X0,x)|member(X0,cross_product(universal_class,universal_class)))),
% 0.10/0.41 inference(resolution,[status(thm)],[f117,f247])).
% 0.10/0.41 fof(f306,plain,(
% 0.10/0.41 ![X0]: (member(not_subclass_element(x,X0),cross_product(universal_class,universal_class))|subclass(x,X0))),
% 0.10/0.41 inference(resolution,[status(thm)],[f254,f118])).
% 0.10/0.41 fof(f308,plain,(
% 0.10/0.41 ![X0]: (subclass(x,X0)|ordered_pair(first(not_subclass_element(x,X0)),second(not_subclass_element(x,X0)))=not_subclass_element(x,X0))),
% 0.10/0.41 inference(resolution,[status(thm)],[f306,f139])).
% 0.10/0.41 fof(f315,plain,(
% 0.10/0.41 ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y)))=not_subclass_element(x,y)),
% 0.10/0.41 inference(resolution,[status(thm)],[f308,f249])).
% 0.10/0.41 fof(f318,plain,(
% 0.10/0.41 ~member(not_subclass_element(x,y),x)),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f315,f248])).
% 0.10/0.41 fof(f321,plain,(
% 0.10/0.41 subclass(x,y)),
% 0.10/0.41 inference(resolution,[status(thm)],[f318,f118])).
% 0.10/0.41 fof(f322,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f321,f249])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.43 % Elapsed time: 0.057782 seconds
% 0.10/0.43 % CPU time: 0.163900 seconds
% 0.10/0.43 % Total memory used: 105.945 MB
% 0.10/0.43 % Net memory used: 105.878 MB
%------------------------------------------------------------------------------