%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET202-6 : 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 : n011.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 02:11:46 PM UTC 2026
% Result : Unsatisfiable 186.36s 24.03s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET202-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 05:00:26 UTC 2026
% 0.02/0.35 % CPUTime :
% 0.02/0.37 % Drodi V4.1.1
% 186.36/24.03 % Refutation found
% 186.36/24.03 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 186.36/24.03 % SZS output start CNFRefutation for theBenchmark
% 186.36/24.03 fof(f1,axiom,(
% 186.36/24.03 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 186.36/24.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 186.36/24.03 fof(f2,axiom,(
% 186.36/24.03 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 186.36/24.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 186.36/24.03 fof(f3,axiom,(
% 186.36/24.03 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 186.36/24.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 186.36/24.03 fof(f4,axiom,(
% 186.36/24.03 (![X]: (subclass(X,universal_class) ))),
% 186.36/24.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 186.36/24.03 fof(f14,axiom,(
% 186.36/24.03 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(U,X) ) ))),
% 186.36/24.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 186.36/24.03 fof(f15,axiom,(
% 186.36/24.03 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(V,Y) ) ))),
% 186.36/24.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 186.36/24.03 fof(f16,axiom,(
% 186.36/24.03 (![U,X,V,Y]: (( ~ member(U,X)| ~ member(V,Y)| member(ordered_pair(U,V),cross_product(X,Y)) ) ))),
% 186.36/24.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 186.36/24.03 fof(f17,axiom,(
% 186.36/24.03 (![Z,X,Y]: (( ~ member(Z,cross_product(X,Y))| ordered_pair(first(Z),second(Z)) = Z ) ))),
% 186.36/24.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 186.36/24.03 fof(f24,axiom,(
% 186.36/24.03 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 186.36/24.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 186.36/24.03 fof(f113,negated_conjecture,(
% 186.36/24.03 ~ subclass(cross_product(x,y),cross_product(universal_class,universal_class)) ),
% 186.36/24.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 186.36/24.03 fof(f114,plain,(
% 186.36/24.03 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 186.36/24.03 inference(miniscoping,[status(thm)],[f1])).
% 186.36/24.03 fof(f115,plain,(
% 186.36/24.03 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 186.36/24.03 inference(cnf_transformation,[status(thm)],[f114])).
% 186.36/24.03 fof(f116,plain,(
% 186.36/24.03 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 186.36/24.03 inference(cnf_transformation,[status(thm)],[f2])).
% 186.36/24.03 fof(f117,plain,(
% 186.36/24.03 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 186.36/24.03 inference(cnf_transformation,[status(thm)],[f3])).
% 186.36/24.03 fof(f118,plain,(
% 186.36/24.03 ![X0]: (subclass(X0,universal_class))),
% 186.36/24.03 inference(cnf_transformation,[status(thm)],[f4])).
% 186.36/24.03 fof(f131,plain,(
% 186.36/24.03 ![U,X]: ((![V,Y]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(U,X))),
% 186.36/24.03 inference(miniscoping,[status(thm)],[f14])).
% 186.36/24.03 fof(f132,plain,(
% 186.36/24.03 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X0,X2))),
% 186.36/24.03 inference(cnf_transformation,[status(thm)],[f131])).
% 186.36/24.03 fof(f133,plain,(
% 186.36/24.03 ![V,Y]: ((![U,X]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(V,Y))),
% 186.36/24.03 inference(miniscoping,[status(thm)],[f15])).
% 186.36/24.03 fof(f134,plain,(
% 186.36/24.03 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X1,X3))),
% 186.36/24.03 inference(cnf_transformation,[status(thm)],[f133])).
% 186.36/24.03 fof(f135,plain,(
% 186.36/24.03 ![X0,X1,X2,X3]: (~member(X0,X1)|~member(X2,X3)|member(ordered_pair(X0,X2),cross_product(X1,X3)))),
% 186.36/24.03 inference(cnf_transformation,[status(thm)],[f16])).
% 186.36/24.03 fof(f136,plain,(
% 186.36/24.03 ![Z]: ((![X,Y]: ~member(Z,cross_product(X,Y)))|ordered_pair(first(Z),second(Z))=Z)),
% 186.36/24.03 inference(miniscoping,[status(thm)],[f17])).
% 186.36/24.03 fof(f137,plain,(
% 186.36/24.03 ![X0,X1,X2]: (~member(X0,cross_product(X1,X2))|ordered_pair(first(X0),second(X0))=X0)),
% 186.36/24.03 inference(cnf_transformation,[status(thm)],[f136])).
% 186.36/24.03 fof(f146,plain,(
% 186.36/24.03 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 186.36/24.03 inference(cnf_transformation,[status(thm)],[f24])).
% 186.36/24.03 fof(f245,plain,(
% 186.36/24.03 ~subclass(cross_product(x,y),cross_product(universal_class,universal_class))),
% 186.36/24.03 inference(cnf_transformation,[status(thm)],[f113])).
% 186.36/24.03 fof(f583,plain,(
% 186.36/24.03 ![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))),
% 186.36/24.03 inference(resolution,[status(thm)],[f137,f116])).
% 186.36/24.03 fof(f590,plain,(
% 186.36/24.03 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 186.36/24.04 inference(resolution,[status(thm)],[f115,f118])).
% 186.36/24.04 fof(f22175,plain,(
% 186.36/24.04 ordered_pair(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))))=not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),
% 186.36/24.04 inference(resolution,[status(thm)],[f583,f245])).
% 186.36/24.04 fof(f22232,plain,(
% 186.36/24.04 ![X0,X1]: (~member(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)),cross_product(X0,X1))|member(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),X0))),
% 186.36/24.04 inference(paramodulation,[status(thm)],[f22175,f132])).
% 186.36/24.04 fof(f22233,plain,(
% 186.36/24.04 ![X0,X1]: (~member(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)),cross_product(X0,X1))|member(second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),X1))),
% 186.36/24.04 inference(paramodulation,[status(thm)],[f22175,f134])).
% 186.36/24.04 fof(f22234,plain,(
% 186.36/24.04 ![X0,X1]: (~member(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),X0)|~member(second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),X1)|member(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)),cross_product(X0,X1)))),
% 186.36/24.04 inference(paramodulation,[status(thm)],[f22175,f135])).
% 186.36/24.04 fof(f22278,definition,(
% 186.36/24.04 sQ684_spl <=> (member(second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),universal_class))),
% 186.36/24.04 introduced(definition,[new_symbols(definition,[sQ684_spl])],[split_symbol_definition])).
% 186.36/24.04 fof(f22280,plain,(
% 186.36/24.04 ~member(second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),universal_class)|sQ684_spl),
% 186.36/24.04 inference(component_clause,[status(thm)],[f22278])).
% 186.36/24.04 fof(f22448,definition,(
% 186.36/24.04 sQ694_spl <=> (subclass(cross_product(x,y),cross_product(universal_class,universal_class)))),
% 186.36/24.04 introduced(definition,[new_symbols(definition,[sQ694_spl])],[split_symbol_definition])).
% 186.36/24.04 fof(f22449,plain,(
% 186.36/24.04 subclass(cross_product(x,y),cross_product(universal_class,universal_class))|~sQ694_spl),
% 186.36/24.04 inference(component_clause,[status(thm)],[f22448])).
% 186.36/24.04 fof(f22495,plain,(
% 186.36/24.04 $false|~sQ694_spl),
% 186.36/24.04 inference(forward_subsumption_resolution,[status(thm)],[f22449,f245])).
% 186.36/24.04 fof(f22496,plain,(
% 186.36/24.04 ~sQ694_spl),
% 186.36/24.04 inference(contradiction_clause,[status(thm)],[f22495])).
% 186.36/24.04 fof(f22899,definition,(
% 186.36/24.04 sQ706_spl <=> (member(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),universal_class))),
% 186.36/24.04 introduced(definition,[new_symbols(definition,[sQ706_spl])],[split_symbol_definition])).
% 186.36/24.04 fof(f22901,plain,(
% 186.36/24.04 ~member(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),universal_class)|sQ706_spl),
% 186.36/24.04 inference(component_clause,[status(thm)],[f22899])).
% 186.36/24.04 fof(f22910,plain,(
% 186.36/24.04 ![X0]: (~member(second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),X0)|sQ684_spl)),
% 186.36/24.04 inference(resolution,[status(thm)],[f22280,f590])).
% 186.36/24.04 fof(f23212,plain,(
% 186.36/24.04 ![X0]: (~member(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),X0)|sQ706_spl)),
% 186.36/24.04 inference(resolution,[status(thm)],[f22901,f590])).
% 186.36/24.04 fof(f24029,definition,(
% 186.36/24.04 ![X0]: (sQ739_spl <=> (member(regular(element_relation),X0)))),
% 186.36/24.04 introduced(definition,[new_symbols(definition,[sQ739_spl])],[split_symbol_definition])).
% 186.36/24.04 fof(f24030,plain,(
% 186.36/24.04 ![X0]: (member(regular(element_relation),X0)|~sQ739_spl)),
% 186.36/24.04 inference(component_clause,[status(thm)],[f24029])).
% 186.36/24.04 fof(f24051,plain,(
% 186.36/24.04 ![X0]: (~member(regular(element_relation),X0)|~sQ739_spl)),
% 186.36/24.04 inference(resolution,[status(thm)],[f24030,f146])).
% 186.36/24.04 fof(f24055,plain,(
% 186.36/24.04 $false|~sQ739_spl),
% 186.36/24.04 inference(forward_subsumption_resolution,[status(thm)],[f24051,f24030])).
% 186.36/24.04 fof(f24056,plain,(
% 186.36/24.04 ~sQ739_spl),
% 186.36/24.04 inference(contradiction_clause,[status(thm)],[f24055])).
% 186.36/24.04 fof(f24739,plain,(
% 186.36/24.04 ![X0,X1]: (~member(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)),cross_product(X0,X1))|sQ706_spl)),
% 97.66/24.14 inference(forward_subsumption_resolution,[status(thm)],[f22232,f23212])).
% 97.66/24.14 fof(f24740,plain,(
% 97.66/24.14 subclass(cross_product(x,y),cross_product(universal_class,universal_class))|sQ706_spl),
% 97.66/24.14 inference(resolution,[status(thm)],[f24739,f116])).
% 97.66/24.14 fof(f24743,plain,(
% 97.66/24.14 sQ694_spl|sQ706_spl),
% 97.66/24.14 inference(split_clause,[status(thm)],[f24740,f22448,f22899])).
% 97.66/24.14 fof(f25022,plain,(
% 97.66/24.14 ![X0,X1]: (~member(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)),cross_product(X0,X1))|sQ684_spl)),
% 97.66/24.14 inference(forward_subsumption_resolution,[status(thm)],[f22233,f22910])).
% 97.66/24.14 fof(f25023,plain,(
% 97.66/24.14 subclass(cross_product(x,y),cross_product(universal_class,universal_class))|sQ684_spl),
% 97.66/24.14 inference(resolution,[status(thm)],[f25022,f116])).
% 97.66/24.14 fof(f25024,plain,(
% 97.66/24.14 sQ694_spl|sQ684_spl),
% 97.66/24.14 inference(split_clause,[status(thm)],[f25023,f22448,f22278])).
% 97.66/24.14 fof(f25180,plain,(
% 97.66/24.14 ~member(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),universal_class)|~member(second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),universal_class)|subclass(cross_product(x,y),cross_product(universal_class,universal_class))),
% 97.66/24.14 inference(resolution,[status(thm)],[f22234,f117])).
% 97.66/24.14 fof(f25183,plain,(
% 97.66/24.14 ~sQ706_spl|~sQ684_spl|sQ694_spl),
% 97.66/24.14 inference(split_clause,[status(thm)],[f25180,f22899,f22278,f22448])).
% 97.66/24.14 fof(f25192,plain,(
% 97.66/24.14 $false),
% 97.66/24.14 inference(sat_refutation,[status(thm)],[f22496,f24056,f24743,f25024,f25183])).
% 97.66/24.14 % SZS output end CNFRefutation for theBenchmark.p
% 97.66/24.20 % Elapsed time: 23.817349 seconds
% 97.66/24.20 % CPU time: 187.479388 seconds
% 97.66/24.20 % Total memory used: 825.651 MB
% 97.66/24.20 % Net memory used: 720.332 MB
%------------------------------------------------------------------------------