%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET118-6 : 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 : n006.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 02:11:36 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET118-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n006.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % 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 04:54:27 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f1,axiom,(
% 0.14/0.39 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f2,axiom,(
% 0.14/0.39 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f4,axiom,(
% 0.14/0.39 (![X]: (subclass(X,universal_class) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f14,axiom,(
% 0.14/0.39 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(U,X) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f16,axiom,(
% 0.14/0.39 (![U,X,V,Y]: (( ~ member(U,X)| ~ member(V,Y)| member(ordered_pair(U,V),cross_product(X,Y)) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f92,negated_conjecture,(
% 0.14/0.39 member(x,cross_product(universal_class,universal_class)) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f93,negated_conjecture,(
% 0.14/0.39 ~ member(x,universal_class) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f94,plain,(
% 0.14/0.39 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f1])).
% 0.14/0.39 fof(f95,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f94])).
% 0.14/0.39 fof(f96,plain,(
% 0.14/0.39 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.39 fof(f98,plain,(
% 0.14/0.39 ![X0]: (subclass(X0,universal_class))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.39 fof(f111,plain,(
% 0.14/0.39 ![U,X]: ((![V,Y]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(U,X))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f14])).
% 0.14/0.39 fof(f112,plain,(
% 0.14/0.39 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X0,X2))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f111])).
% 0.14/0.39 fof(f115,plain,(
% 0.14/0.39 ![X0,X1,X2,X3]: (~member(X0,X1)|~member(X2,X3)|member(ordered_pair(X0,X2),cross_product(X1,X3)))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.39 fof(f199,plain,(
% 0.14/0.39 member(x,cross_product(universal_class,universal_class))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f92])).
% 0.14/0.39 fof(f200,plain,(
% 0.14/0.39 ~member(x,universal_class)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f93])).
% 0.14/0.39 fof(f204,plain,(
% 0.14/0.39 ![X0,X1]: (~member(X0,X1)|member(ordered_pair(x,X0),cross_product(cross_product(universal_class,universal_class),X1)))),
% 0.14/0.39 inference(resolution,[status(thm)],[f115,f199])).
% 0.14/0.39 fof(f295,plain,(
% 0.14/0.39 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 0.14/0.39 inference(resolution,[status(thm)],[f95,f98])).
% 0.14/0.39 fof(f300,plain,(
% 0.14/0.39 ![X0,X1]: (subclass(X0,X1)|member(ordered_pair(x,not_subclass_element(X0,X1)),cross_product(cross_product(universal_class,universal_class),X0)))),
% 0.14/0.39 inference(resolution,[status(thm)],[f96,f204])).
% 0.14/0.39 fof(f334,plain,(
% 0.14/0.39 ![X0,X1]: (subclass(X0,X1)|member(x,cross_product(universal_class,universal_class)))),
% 0.14/0.39 inference(resolution,[status(thm)],[f300,f112])).
% 0.14/0.39 fof(f340,definition,(
% 0.14/0.39 ![X0,X1]: (sQ0_spl <=> (subclass(X0,X1)))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f341,plain,(
% 0.14/0.39 ![X0,X1]: (subclass(X0,X1)|~sQ0_spl)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f340])).
% 0.14/0.39 fof(f343,definition,(
% 0.14/0.39 sQ1_spl <=> (member(x,cross_product(universal_class,universal_class)))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f344,plain,(
% 0.14/0.39 member(x,cross_product(universal_class,universal_class))|~sQ1_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f343])).
% 0.14/0.39 fof(f346,plain,(
% 0.14/0.39 sQ0_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f334,f340,f343])).
% 0.14/0.39 fof(f354,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~member(X0,X1)|member(X0,X2)|~sQ0_spl)),
% 0.14/0.39 inference(backward_subsumption_resolution,[status(thm)],[f95,f341])).
% 0.14/0.39 fof(f373,plain,(
% 0.14/0.39 ![X0]: (member(x,X0)|~sQ0_spl)),
% 0.14/0.39 inference(resolution,[status(thm)],[f354,f199])).
% 0.14/0.39 fof(f386,plain,(
% 0.14/0.39 $false|~sQ0_spl),
% 0.14/0.39 inference(backward_subsumption_resolution,[status(thm)],[f200,f373])).
% 0.14/0.39 fof(f393,plain,(
% 0.14/0.39 ~sQ0_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f386])).
% 0.14/0.39 fof(f489,plain,(
% 0.14/0.39 member(x,universal_class)|~sQ1_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f295,f344])).
% 0.14/0.39 fof(f507,plain,(
% 0.14/0.39 $false|~sQ1_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f489,f200])).
% 0.14/0.39 fof(f508,plain,(
% 0.14/0.39 ~sQ1_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f507])).
% 0.14/0.39 fof(f509,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(sat_refutation,[status(thm)],[f346,f393,f508])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.043772 seconds
% 0.14/0.41 % CPU time: 0.115164 seconds
% 0.14/0.41 % Total memory used: 24.135 MB
% 0.14/0.41 % Net memory used: 24.027 MB
%------------------------------------------------------------------------------