%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET203-6 : 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 : n003.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 0.12s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET203-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 05:02:01 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.40 fof(f1,axiom,(
% 0.12/0.40 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f4,axiom,(
% 0.12/0.40 (![X]: (subclass(X,universal_class) ))),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f16,axiom,(
% 0.12/0.40 (![U,X,V,Y]: (( ~ member(U,X)| ~ member(V,Y)| member(ordered_pair(U,V),cross_product(X,Y)) ) ))),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f113,negated_conjecture,(
% 0.12/0.40 member(u,x) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f114,negated_conjecture,(
% 0.12/0.40 member(v,y) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f115,negated_conjecture,(
% 0.12/0.40 ~ member(ordered_pair(u,v),cross_product(universal_class,universal_class)) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f116,plain,(
% 0.12/0.40 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f1])).
% 0.12/0.40 fof(f117,plain,(
% 0.12/0.40 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f116])).
% 0.12/0.40 fof(f120,plain,(
% 0.12/0.40 ![X0]: (subclass(X0,universal_class))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.40 fof(f137,plain,(
% 0.12/0.40 ![X0,X1,X2,X3]: (~member(X0,X1)|~member(X2,X3)|member(ordered_pair(X0,X2),cross_product(X1,X3)))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.40 fof(f247,plain,(
% 0.12/0.40 member(u,x)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f113])).
% 0.12/0.40 fof(f248,plain,(
% 0.12/0.40 member(v,y)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f114])).
% 0.12/0.40 fof(f249,plain,(
% 0.12/0.40 ~member(ordered_pair(u,v),cross_product(universal_class,universal_class))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f115])).
% 0.12/0.40 fof(f264,plain,(
% 0.12/0.40 ~member(u,universal_class)|~member(v,universal_class)),
% 0.12/0.40 inference(resolution,[status(thm)],[f249,f137])).
% 0.12/0.40 fof(f265,definition,(
% 0.12/0.40 sQ2_spl <=> (member(u,universal_class))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f267,plain,(
% 0.12/0.40 ~member(u,universal_class)|sQ2_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f265])).
% 0.12/0.40 fof(f268,definition,(
% 0.12/0.40 sQ3_spl <=> (member(v,universal_class))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f270,plain,(
% 0.12/0.40 ~member(v,universal_class)|sQ3_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f268])).
% 0.12/0.40 fof(f271,plain,(
% 0.12/0.40 ~sQ2_spl|~sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f264,f265,f268])).
% 0.12/0.40 fof(f310,plain,(
% 0.12/0.40 ![X0]: (~subclass(x,X0)|member(u,X0))),
% 0.12/0.40 inference(resolution,[status(thm)],[f117,f247])).
% 0.12/0.40 fof(f311,plain,(
% 0.12/0.40 ![X0]: (~subclass(y,X0)|member(v,X0))),
% 0.12/0.40 inference(resolution,[status(thm)],[f117,f248])).
% 0.12/0.40 fof(f333,plain,(
% 0.12/0.40 member(u,universal_class)),
% 0.12/0.40 inference(resolution,[status(thm)],[f310,f120])).
% 0.12/0.40 fof(f335,plain,(
% 0.12/0.40 $false|sQ2_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f333,f267])).
% 0.12/0.40 fof(f336,plain,(
% 0.12/0.40 sQ2_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f335])).
% 0.12/0.40 fof(f349,plain,(
% 0.12/0.40 member(v,universal_class)),
% 0.12/0.40 inference(resolution,[status(thm)],[f311,f120])).
% 0.12/0.40 fof(f417,plain,(
% 0.12/0.40 $false|sQ3_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f349,f270])).
% 0.12/0.40 fof(f418,plain,(
% 0.12/0.40 sQ3_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f417])).
% 0.12/0.40 fof(f419,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(sat_refutation,[status(thm)],[f271,f336,f418])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.43 % Elapsed time: 0.055641 seconds
% 0.12/0.43 % CPU time: 0.214966 seconds
% 0.12/0.43 % Total memory used: 107.720 MB
% 0.12/0.43 % Net memory used: 107.361 MB
%------------------------------------------------------------------------------