%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET386-6 : 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 : 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 02:12:00 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET386-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.44 % Computer : n006.cluster.edu
% 0.15/0.44 % Model : x86_64 x86_64
% 0.15/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.44 % Memory : 8046.5625MB
% 0.15/0.44 % OS : Linux 6.8.0-71-generic
% 0.15/0.44 % CPULimit : 300
% 0.15/0.44 % WCLimit : 300
% 0.15/0.44 % DateTime : Mon Sep 21 05:13:27 UTC 2026
% 0.15/0.45 % CPUTime :
% 0.15/0.47 % Drodi V4.1.1
% 0.15/0.51 % Refutation found
% 0.15/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.51 fof(f2,axiom,(
% 0.15/0.51 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.15/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.51 fof(f3,axiom,(
% 0.15/0.51 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 0.15/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.51 fof(f21,axiom,(
% 0.15/0.51 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 0.15/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.51 fof(f29,axiom,(
% 0.15/0.51 (![X,Y,Xr]: (intersection(cross_product(X,Y),Xr) = restrict(Xr,X,Y) ))),
% 0.15/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.51 fof(f113,negated_conjecture,(
% 0.15/0.51 restrict(x,universal_class,universal_class) = x ),
% 0.15/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.51 fof(f114,negated_conjecture,(
% 0.15/0.51 ~ subclass(x,cross_product(universal_class,universal_class)) ),
% 0.15/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.51 fof(f117,plain,(
% 0.15/0.51 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.15/0.51 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.51 fof(f118,plain,(
% 0.15/0.51 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 0.15/0.51 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.51 fof(f142,plain,(
% 0.15/0.51 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 0.15/0.51 inference(miniscoping,[status(thm)],[f21])).
% 0.15/0.51 fof(f143,plain,(
% 0.15/0.51 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.15/0.51 inference(cnf_transformation,[status(thm)],[f142])).
% 0.15/0.51 fof(f152,plain,(
% 0.15/0.51 ![X0,X1,X2]: (intersection(cross_product(X0,X1),X2)=restrict(X2,X0,X1))),
% 0.15/0.51 inference(cnf_transformation,[status(thm)],[f29])).
% 0.15/0.51 fof(f246,plain,(
% 0.15/0.51 restrict(x,universal_class,universal_class)=x),
% 0.15/0.51 inference(cnf_transformation,[status(thm)],[f113])).
% 0.15/0.51 fof(f247,plain,(
% 0.15/0.51 ~subclass(x,cross_product(universal_class,universal_class))),
% 0.15/0.51 inference(cnf_transformation,[status(thm)],[f114])).
% 0.15/0.51 fof(f657,plain,(
% 0.15/0.51 ![X0,X1,X2,X3]: (~member(X0,restrict(X1,X2,X3))|member(X0,cross_product(X2,X3)))),
% 0.15/0.51 inference(paramodulation,[status(thm)],[f152,f143])).
% 0.15/0.51 fof(f1311,plain,(
% 0.15/0.51 ![X0]: (~member(X0,x)|member(X0,cross_product(universal_class,universal_class)))),
% 0.15/0.51 inference(paramodulation,[status(thm)],[f246,f657])).
% 0.15/0.51 fof(f1491,plain,(
% 0.15/0.51 ![X0]: (member(not_subclass_element(x,X0),cross_product(universal_class,universal_class))|subclass(x,X0))),
% 0.15/0.51 inference(resolution,[status(thm)],[f1311,f117])).
% 0.15/0.51 fof(f1730,plain,(
% 0.15/0.51 subclass(x,cross_product(universal_class,universal_class))|subclass(x,cross_product(universal_class,universal_class))),
% 0.15/0.51 inference(resolution,[status(thm)],[f1491,f118])).
% 0.15/0.51 fof(f1737,definition,(
% 0.15/0.51 sQ43_spl <=> (subclass(x,cross_product(universal_class,universal_class)))),
% 0.15/0.51 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.15/0.51 fof(f1738,plain,(
% 0.15/0.51 subclass(x,cross_product(universal_class,universal_class))|~sQ43_spl),
% 0.15/0.51 inference(component_clause,[status(thm)],[f1737])).
% 0.15/0.51 fof(f1740,plain,(
% 0.15/0.51 sQ43_spl),
% 0.15/0.51 inference(split_clause,[status(thm)],[f1730,f1737])).
% 0.15/0.51 fof(f1742,plain,(
% 0.15/0.51 $false|~sQ43_spl),
% 0.15/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1738,f247])).
% 0.15/0.51 fof(f1743,plain,(
% 0.15/0.51 ~sQ43_spl),
% 0.15/0.51 inference(contradiction_clause,[status(thm)],[f1742])).
% 0.15/0.51 fof(f1744,plain,(
% 0.15/0.51 $false),
% 0.15/0.51 inference(sat_refutation,[status(thm)],[f1740,f1743])).
% 0.15/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.56 % Elapsed time: 0.107962 seconds
% 0.21/0.56 % CPU time: 0.209490 seconds
% 0.21/0.56 % Total memory used: 28.060 MB
% 0.21/0.56 % Net memory used: 27.840 MB
%------------------------------------------------------------------------------