%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET468-6 : 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 : n014.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 02:12:05 PM UTC 2026
% Result : Unsatisfiable 12.67s 2.05s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET468-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n014.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 05:19:19 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 12.67/2.05 % Refutation found
% 12.67/2.05 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 12.67/2.05 % SZS output start CNFRefutation for theBenchmark
% 12.67/2.05 fof(f1,axiom,(
% 12.67/2.05 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 12.67/2.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.67/2.05 fof(f2,axiom,(
% 12.67/2.05 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 12.67/2.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.67/2.05 fof(f4,axiom,(
% 12.67/2.05 (![X]: (subclass(X,universal_class) ))),
% 12.67/2.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.67/2.05 fof(f15,axiom,(
% 12.67/2.05 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(V,Y) ) ))),
% 12.67/2.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.67/2.05 fof(f17,axiom,(
% 12.67/2.05 (![Z,X,Y]: (( ~ member(Z,cross_product(X,Y))| ordered_pair(first(Z),second(Z)) = Z ) ))),
% 12.67/2.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.67/2.05 fof(f24,axiom,(
% 12.67/2.05 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 12.67/2.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.67/2.05 fof(f66,axiom,(
% 12.67/2.05 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 12.67/2.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.67/2.05 fof(f113,negated_conjecture,(
% 12.67/2.05 x = null_class ),
% 12.67/2.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.67/2.05 fof(f114,negated_conjecture,(
% 12.67/2.05 ~ subclass(cross_product(x,x),identity_relation) ),
% 12.67/2.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.67/2.05 fof(f115,plain,(
% 12.67/2.05 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 12.67/2.05 inference(miniscoping,[status(thm)],[f1])).
% 12.67/2.05 fof(f116,plain,(
% 12.67/2.05 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 12.67/2.05 inference(cnf_transformation,[status(thm)],[f115])).
% 12.67/2.05 fof(f117,plain,(
% 12.67/2.05 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 12.67/2.05 inference(cnf_transformation,[status(thm)],[f2])).
% 12.67/2.05 fof(f119,plain,(
% 12.67/2.05 ![X0]: (subclass(X0,universal_class))),
% 12.67/2.05 inference(cnf_transformation,[status(thm)],[f4])).
% 12.67/2.05 fof(f134,plain,(
% 12.67/2.05 ![V,Y]: ((![U,X]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(V,Y))),
% 12.67/2.05 inference(miniscoping,[status(thm)],[f15])).
% 12.67/2.05 fof(f135,plain,(
% 12.67/2.05 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X1,X3))),
% 12.67/2.05 inference(cnf_transformation,[status(thm)],[f134])).
% 12.67/2.05 fof(f137,plain,(
% 12.67/2.05 ![Z]: ((![X,Y]: ~member(Z,cross_product(X,Y)))|ordered_pair(first(Z),second(Z))=Z)),
% 12.67/2.05 inference(miniscoping,[status(thm)],[f17])).
% 12.67/2.05 fof(f138,plain,(
% 12.67/2.05 ![X0,X1,X2]: (~member(X0,cross_product(X1,X2))|ordered_pair(first(X0),second(X0))=X0)),
% 12.67/2.05 inference(cnf_transformation,[status(thm)],[f137])).
% 12.67/2.05 fof(f147,plain,(
% 12.67/2.05 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 12.67/2.05 inference(cnf_transformation,[status(thm)],[f24])).
% 12.67/2.05 fof(f189,plain,(
% 12.67/2.05 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 12.67/2.05 inference(cnf_transformation,[status(thm)],[f66])).
% 12.67/2.05 fof(f246,plain,(
% 12.67/2.05 x=null_class),
% 12.67/2.05 inference(cnf_transformation,[status(thm)],[f113])).
% 12.67/2.05 fof(f247,plain,(
% 12.67/2.05 ~subclass(cross_product(x,x),identity_relation)),
% 12.67/2.05 inference(cnf_transformation,[status(thm)],[f114])).
% 12.67/2.05 fof(f252,plain,(
% 12.67/2.05 ~subclass(cross_product(null_class,x),identity_relation)),
% 12.67/2.05 inference(forward_demodulation,[status(thm)],[f246,f247])).
% 12.67/2.05 fof(f253,plain,(
% 12.67/2.05 ~subclass(cross_product(null_class,null_class),identity_relation)),
% 12.67/2.05 inference(forward_demodulation,[status(thm)],[f246,f252])).
% 12.67/2.05 fof(f254,plain,(
% 12.67/2.05 ![X0,X1,X2,X3]: (~subclass(X0,X1)|member(X2,X1)|~subclass(X3,X0)|~member(X2,X3))),
% 12.67/2.05 inference(resolution,[status(thm)],[f116,f116])).
% 12.67/2.05 fof(f284,plain,(
% 12.67/2.05 ![X0,X1,X2]: (~subclass(universal_class,X0)|member(X1,X0)|~member(X1,X2))),
% 12.67/2.05 inference(resolution,[status(thm)],[f254,f119])).
% 12.67/2.05 fof(f300,plain,(
% 12.67/2.05 ![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))),
% 12.67/2.05 inference(resolution,[status(thm)],[f138,f117])).
% 12.67/2.05 fof(f312,plain,(
% 12.67/2.05 ![X0,X1]: (member(X0,universal_class)|~member(X0,X1))),
% 12.67/2.05 inference(resolution,[status(thm)],[f284,f119])).
% 12.67/2.05 fof(f520,plain,(
% 12.67/2.05 ![X0]: (complement(X0)=null_class|~member(regular(complement(X0)),X0))),
% 12.67/2.08 inference(resolution,[status(thm)],[f189,f147])).
% 12.67/2.08 fof(f526,plain,(
% 12.67/2.08 ![X0,X1]: (X0=null_class|~subclass(X0,X1)|member(regular(X0),X1))),
% 12.67/2.08 inference(resolution,[status(thm)],[f189,f116])).
% 12.67/2.08 fof(f577,plain,(
% 12.67/2.08 ![X0]: (X0=null_class|member(regular(X0),universal_class))),
% 12.67/2.08 inference(resolution,[status(thm)],[f526,f119])).
% 12.67/2.08 fof(f1106,plain,(
% 12.67/2.08 ordered_pair(first(not_subclass_element(cross_product(null_class,null_class),identity_relation)),second(not_subclass_element(cross_product(null_class,null_class),identity_relation)))=not_subclass_element(cross_product(null_class,null_class),identity_relation)),
% 12.67/2.08 inference(resolution,[status(thm)],[f300,f253])).
% 12.67/2.08 fof(f1170,plain,(
% 12.67/2.08 ![X0,X1]: (~member(not_subclass_element(cross_product(null_class,null_class),identity_relation),cross_product(X0,X1))|member(second(not_subclass_element(cross_product(null_class,null_class),identity_relation)),X1))),
% 12.67/2.08 inference(paramodulation,[status(thm)],[f1106,f135])).
% 12.67/2.08 fof(f1384,plain,(
% 12.67/2.08 complement(universal_class)=null_class|complement(universal_class)=null_class),
% 12.67/2.08 inference(resolution,[status(thm)],[f520,f577])).
% 12.67/2.08 fof(f1396,plain,(
% 12.67/2.08 complement(universal_class)=null_class),
% 12.67/2.08 inference(duplicate_literals_removal,[status(thm)],[f1384])).
% 12.67/2.08 fof(f1410,plain,(
% 12.67/2.08 ![X0]: (~member(X0,null_class)|~member(X0,universal_class))),
% 12.67/2.08 inference(paramodulation,[status(thm)],[f1396,f147])).
% 12.67/2.08 fof(f1413,plain,(
% 12.67/2.08 ![X0]: (~member(X0,null_class))),
% 12.67/2.08 inference(forward_subsumption_resolution,[status(thm)],[f1410,f312])).
% 12.67/2.08 fof(f4031,plain,(
% 12.67/2.08 member(second(not_subclass_element(cross_product(null_class,null_class),identity_relation)),null_class)|subclass(cross_product(null_class,null_class),identity_relation)),
% 12.67/2.08 inference(resolution,[status(thm)],[f1170,f117])).
% 12.67/2.08 fof(f4033,plain,(
% 12.67/2.08 subclass(cross_product(null_class,null_class),identity_relation)),
% 12.67/2.08 inference(forward_subsumption_resolution,[status(thm)],[f4031,f1413])).
% 12.67/2.08 fof(f4244,plain,(
% 12.67/2.08 $false),
% 12.67/2.08 inference(forward_subsumption_resolution,[status(thm)],[f4033,f253])).
% 12.67/2.08 % SZS output end CNFRefutation for theBenchmark.p
% 12.67/2.10 % Elapsed time: 1.731587 seconds
% 12.67/2.10 % CPU time: 13.240705 seconds
% 12.67/2.10 % Total memory used: 221.350 MB
% 12.67/2.10 % Net memory used: 206.124 MB
%------------------------------------------------------------------------------