%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET233-6 : 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 : n020.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 02:11:48 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.63s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET233-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.57 % Computer : n020.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Mon Sep 21 05:03:32 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.59 % Drodi V4.1.1
% 0.15/0.63 % Refutation found
% 0.15/0.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.63 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.63 fof(f2,axiom,(
% 0.15/0.63 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.15/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.63 fof(f15,axiom,(
% 0.15/0.63 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(V,Y) ) ))),
% 0.15/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.63 fof(f17,axiom,(
% 0.15/0.63 (![Z,X,Y]: (( ~ member(Z,cross_product(X,Y))| ordered_pair(first(Z),second(Z)) = Z ) ))),
% 0.15/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.63 fof(f113,negated_conjecture,(
% 0.15/0.63 ~ subclass(cross_product(x,y),z) ),
% 0.15/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.63 fof(f114,negated_conjecture,(
% 0.15/0.63 ~ member(second(not_subclass_element(cross_product(x,y),z)),y) ),
% 0.15/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.63 fof(f117,plain,(
% 0.15/0.63 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.15/0.63 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.63 fof(f134,plain,(
% 0.15/0.63 ![V,Y]: ((![U,X]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(V,Y))),
% 0.15/0.63 inference(miniscoping,[status(thm)],[f15])).
% 0.15/0.63 fof(f135,plain,(
% 0.15/0.63 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X1,X3))),
% 0.15/0.63 inference(cnf_transformation,[status(thm)],[f134])).
% 0.15/0.63 fof(f137,plain,(
% 0.15/0.63 ![Z]: ((![X,Y]: ~member(Z,cross_product(X,Y)))|ordered_pair(first(Z),second(Z))=Z)),
% 0.15/0.63 inference(miniscoping,[status(thm)],[f17])).
% 0.15/0.63 fof(f138,plain,(
% 0.15/0.63 ![X0,X1,X2]: (~member(X0,cross_product(X1,X2))|ordered_pair(first(X0),second(X0))=X0)),
% 0.15/0.63 inference(cnf_transformation,[status(thm)],[f137])).
% 0.15/0.63 fof(f246,plain,(
% 0.15/0.63 ~subclass(cross_product(x,y),z)),
% 0.15/0.63 inference(cnf_transformation,[status(thm)],[f113])).
% 0.15/0.63 fof(f247,plain,(
% 0.15/0.63 ~member(second(not_subclass_element(cross_product(x,y),z)),y)),
% 0.15/0.63 inference(cnf_transformation,[status(thm)],[f114])).
% 0.15/0.63 fof(f326,plain,(
% 0.15/0.63 ![X0,X1,X2]: (ordered_pair(first(not_subclass_element(cross_product(X0,X1),X2)),second(not_subclass_element(cross_product(X0,X1),X2)))=not_subclass_element(cross_product(X0,X1),X2)|subclass(cross_product(X0,X1),X2))),
% 0.15/0.63 inference(resolution,[status(thm)],[f138,f117])).
% 0.15/0.63 fof(f355,plain,(
% 0.15/0.63 ordered_pair(first(not_subclass_element(cross_product(x,y),z)),second(not_subclass_element(cross_product(x,y),z)))=not_subclass_element(cross_product(x,y),z)),
% 0.15/0.63 inference(resolution,[status(thm)],[f326,f246])).
% 0.15/0.63 fof(f382,plain,(
% 0.15/0.63 ![X0,X1]: (~member(not_subclass_element(cross_product(x,y),z),cross_product(X0,X1))|member(second(not_subclass_element(cross_product(x,y),z)),X1))),
% 0.15/0.63 inference(paramodulation,[status(thm)],[f355,f135])).
% 0.15/0.63 fof(f399,plain,(
% 0.15/0.63 member(second(not_subclass_element(cross_product(x,y),z)),y)|subclass(cross_product(x,y),z)),
% 0.15/0.63 inference(resolution,[status(thm)],[f382,f117])).
% 0.15/0.63 fof(f400,definition,(
% 0.15/0.63 sQ8_spl <=> (member(second(not_subclass_element(cross_product(x,y),z)),y))),
% 0.15/0.63 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.15/0.63 fof(f401,plain,(
% 0.15/0.63 member(second(not_subclass_element(cross_product(x,y),z)),y)|~sQ8_spl),
% 0.15/0.63 inference(component_clause,[status(thm)],[f400])).
% 0.15/0.63 fof(f403,definition,(
% 0.15/0.63 sQ9_spl <=> (subclass(cross_product(x,y),z))),
% 0.15/0.63 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.15/0.63 fof(f404,plain,(
% 0.15/0.63 subclass(cross_product(x,y),z)|~sQ9_spl),
% 0.15/0.63 inference(component_clause,[status(thm)],[f403])).
% 0.15/0.63 fof(f406,plain,(
% 0.15/0.63 sQ8_spl|sQ9_spl),
% 0.15/0.63 inference(split_clause,[status(thm)],[f399,f400,f403])).
% 0.15/0.63 fof(f407,plain,(
% 0.15/0.63 $false|~sQ8_spl),
% 0.15/0.63 inference(forward_subsumption_resolution,[status(thm)],[f401,f247])).
% 0.15/0.63 fof(f408,plain,(
% 0.15/0.63 ~sQ8_spl),
% 0.15/0.63 inference(contradiction_clause,[status(thm)],[f407])).
% 0.15/0.63 fof(f409,plain,(
% 0.15/0.63 $false|~sQ9_spl),
% 0.15/0.63 inference(forward_subsumption_resolution,[status(thm)],[f404,f246])).
% 0.15/0.63 fof(f410,plain,(
% 0.15/0.63 ~sQ9_spl),
% 0.15/0.63 inference(contradiction_clause,[status(thm)],[f409])).
% 0.15/0.63 fof(f411,plain,(
% 0.15/0.63 $false),
% 0.15/0.63 inference(sat_refutation,[status(thm)],[f406,f408,f410])).
% 0.15/0.63 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.66 % Elapsed time: 0.073954 seconds
% 0.15/0.66 % CPU time: 0.212099 seconds
% 0.15/0.66 % Total memory used: 107.065 MB
% 0.15/0.66 % Net memory used: 106.872 MB
%------------------------------------------------------------------------------