%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET154-6 : 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 : n009.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 02:11:40 PM UTC 2026
% Result : Unsatisfiable 24.49s 8.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET154-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.38 % Computer : n009.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Mon Sep 21 04:57:03 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.40 % Drodi V4.1.1
% 24.49/8.59 % Refutation found
% 24.49/8.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 24.49/8.59 % SZS output start CNFRefutation for theBenchmark
% 24.49/8.59 fof(f1,axiom,(
% 24.49/8.59 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 24.49/8.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.49/8.59 fof(f2,axiom,(
% 24.49/8.59 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 24.49/8.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.49/8.59 fof(f3,axiom,(
% 24.49/8.59 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 24.49/8.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.49/8.59 fof(f4,axiom,(
% 24.49/8.59 (![X]: (subclass(X,universal_class) ))),
% 24.49/8.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.49/8.59 fof(f7,axiom,(
% 24.49/8.59 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 24.49/8.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.49/8.59 fof(f21,axiom,(
% 24.49/8.59 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 24.49/8.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.49/8.59 fof(f22,axiom,(
% 24.49/8.59 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 24.49/8.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.49/8.59 fof(f24,axiom,(
% 24.49/8.59 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 24.49/8.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.49/8.59 fof(f25,axiom,(
% 24.49/8.59 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 24.49/8.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.49/8.59 fof(f26,axiom,(
% 24.49/8.59 (![X,Y]: (complement(intersection(complement(X),complement(Y))) = union(X,Y) ))),
% 24.49/8.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.49/8.59 fof(f66,axiom,(
% 24.49/8.59 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 24.49/8.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.49/8.59 fof(f113,negated_conjecture,(
% 24.49/8.59 union(complement(x),x) != universal_class ),
% 24.49/8.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.49/8.59 fof(f114,plain,(
% 24.49/8.59 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 24.49/8.59 inference(miniscoping,[status(thm)],[f1])).
% 24.49/8.59 fof(f115,plain,(
% 24.49/8.59 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 24.49/8.59 inference(cnf_transformation,[status(thm)],[f114])).
% 24.49/8.59 fof(f116,plain,(
% 24.49/8.59 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 24.49/8.59 inference(cnf_transformation,[status(thm)],[f2])).
% 24.49/8.59 fof(f117,plain,(
% 24.49/8.59 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 24.49/8.59 inference(cnf_transformation,[status(thm)],[f3])).
% 24.49/8.59 fof(f118,plain,(
% 24.49/8.59 ![X0]: (subclass(X0,universal_class))),
% 24.49/8.59 inference(cnf_transformation,[status(thm)],[f4])).
% 24.49/8.59 fof(f121,plain,(
% 24.49/8.59 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 24.49/8.59 inference(cnf_transformation,[status(thm)],[f7])).
% 24.49/8.59 fof(f141,plain,(
% 24.49/8.59 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 24.49/8.59 inference(miniscoping,[status(thm)],[f21])).
% 24.49/8.59 fof(f142,plain,(
% 24.49/8.59 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 24.49/8.59 inference(cnf_transformation,[status(thm)],[f141])).
% 24.49/8.59 fof(f143,plain,(
% 24.49/8.59 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 24.49/8.59 inference(miniscoping,[status(thm)],[f22])).
% 24.49/8.59 fof(f144,plain,(
% 24.49/8.59 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 24.49/8.59 inference(cnf_transformation,[status(thm)],[f143])).
% 24.49/8.59 fof(f146,plain,(
% 24.49/8.59 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 24.49/8.59 inference(cnf_transformation,[status(thm)],[f24])).
% 24.49/8.59 fof(f147,plain,(
% 24.49/8.59 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 24.49/8.59 inference(cnf_transformation,[status(thm)],[f25])).
% 24.49/8.59 fof(f148,plain,(
% 24.49/8.59 ![X0,X1]: (complement(intersection(complement(X0),complement(X1)))=union(X0,X1))),
% 24.49/8.59 inference(cnf_transformation,[status(thm)],[f26])).
% 24.49/8.59 fof(f188,plain,(
% 24.49/8.59 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 24.49/8.59 inference(cnf_transformation,[status(thm)],[f66])).
% 24.49/8.59 fof(f245,plain,(
% 24.49/8.59 ~union(complement(x),x)=universal_class),
% 24.49/8.59 inference(cnf_transformation,[status(thm)],[f113])).
% 24.49/8.59 fof(f300,plain,(
% 24.49/8.59 ![X0,X1]: (subclass(universal_class,X0)|member(not_subclass_element(universal_class,X0),complement(X1))|member(not_subclass_element(universal_class,X0),X1))),
% 24.49/8.59 inference(resolution,[status(thm)],[f116,f147])).
% 24.49/8.59 fof(f305,plain,(
% 24.49/8.59 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 24.49/8.59 inference(resolution,[status(thm)],[f118,f115])).
% 24.49/8.59 fof(f318,plain,(
% 24.49/8.59 ![X0]: (subclass(universal_class,complement(X0))|member(not_subclass_element(universal_class,complement(X0)),X0)|subclass(universal_class,complement(X0)))),
% 24.49/8.59 inference(resolution,[status(thm)],[f300,f117])).
% 24.49/8.59 fof(f323,plain,(
% 24.49/8.59 ![X0]: (subclass(universal_class,complement(X0))|member(not_subclass_element(universal_class,complement(X0)),X0))),
% 24.49/8.59 inference(duplicate_literals_removal,[status(thm)],[f318])).
% 24.49/8.59 fof(f328,plain,(
% 24.49/8.59 ![X0]: (subclass(universal_class,complement(complement(X0)))|~member(not_subclass_element(universal_class,complement(complement(X0))),X0))),
% 24.49/8.59 inference(resolution,[status(thm)],[f323,f146])).
% 24.49/8.59 fof(f337,plain,(
% 24.49/8.59 subclass(universal_class,complement(complement(universal_class)))|subclass(universal_class,complement(complement(universal_class)))),
% 24.49/8.59 inference(resolution,[status(thm)],[f328,f116])).
% 24.49/8.59 fof(f341,plain,(
% 24.49/8.59 subclass(universal_class,complement(complement(universal_class)))),
% 24.49/8.59 inference(duplicate_literals_removal,[status(thm)],[f337])).
% 24.49/8.59 fof(f400,plain,(
% 24.49/8.59 ~subclass(complement(complement(universal_class)),universal_class)|complement(complement(universal_class))=universal_class),
% 24.49/8.59 inference(resolution,[status(thm)],[f341,f121])).
% 24.49/8.59 fof(f403,plain,(
% 24.49/8.59 complement(complement(universal_class))=universal_class),
% 24.49/8.59 inference(forward_subsumption_resolution,[status(thm)],[f400,f118])).
% 24.49/8.59 fof(f647,plain,(
% 24.49/8.59 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X0)|subclass(intersection(X0,X1),X2))),
% 24.49/8.59 inference(resolution,[status(thm)],[f142,f116])).
% 24.49/8.59 fof(f652,plain,(
% 24.49/8.59 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X1)|subclass(intersection(X0,X1),X2))),
% 24.49/8.59 inference(resolution,[status(thm)],[f144,f116])).
% 24.49/8.59 fof(f1552,plain,(
% 24.49/8.59 ![X0]: (complement(X0)=null_class|~member(regular(complement(X0)),X0))),
% 24.49/8.59 inference(resolution,[status(thm)],[f188,f146])).
% 24.49/8.59 fof(f1568,plain,(
% 24.49/8.59 ![X0]: (member(regular(X0),universal_class)|X0=null_class)),
% 24.49/8.59 inference(resolution,[status(thm)],[f305,f188])).
% 24.49/8.59 fof(f5644,plain,(
% 24.49/8.59 complement(universal_class)=null_class|complement(universal_class)=null_class),
% 24.49/8.59 inference(resolution,[status(thm)],[f1568,f1552])).
% 24.49/8.59 fof(f5670,plain,(
% 24.49/8.59 complement(universal_class)=null_class),
% 24.49/8.59 inference(duplicate_literals_removal,[status(thm)],[f5644])).
% 24.49/8.59 fof(f5676,plain,(
% 24.49/8.59 complement(null_class)=universal_class),
% 24.49/8.59 inference(backward_demodulation,[status(thm)],[f5670,f403])).
% 24.49/8.59 fof(f5778,plain,(
% 24.49/8.59 ![X0]: (~member(X0,null_class)|~member(X0,universal_class))),
% 24.49/8.59 inference(paramodulation,[status(thm)],[f5670,f146])).
% 24.49/8.59 fof(f5862,plain,(
% 24.49/8.59 ![X0]: (~member(X0,null_class))),
% 24.49/8.59 inference(forward_subsumption_resolution,[status(thm)],[f5778,f305])).
% 24.49/8.59 fof(f5865,plain,(
% 24.49/8.59 ![X0]: (subclass(null_class,X0))),
% 24.49/8.59 inference(resolution,[status(thm)],[f5862,f116])).
% 24.49/8.59 fof(f6001,plain,(
% 24.49/8.59 ![X0]: (~subclass(X0,null_class)|X0=null_class)),
% 24.49/8.59 inference(resolution,[status(thm)],[f5865,f121])).
% 24.49/8.59 fof(f7819,plain,(
% 24.49/8.59 ![X0,X1,X2]: (subclass(intersection(complement(X0),X1),X2)|~member(not_subclass_element(intersection(complement(X0),X1),X2),X0))),
% 24.49/8.59 inference(resolution,[status(thm)],[f647,f146])).
% 24.49/8.59 fof(f23489,plain,(
% 24.49/8.59 ![X0,X1]: (subclass(intersection(complement(X0),X0),X1)|subclass(intersection(complement(X0),X0),X1))),
% 24.49/8.59 inference(resolution,[status(thm)],[f7819,f652])).
% 24.49/8.59 fof(f23561,plain,(
% 24.49/8.59 ![X0,X1]: (subclass(intersection(complement(X0),X0),X1))),
% 24.49/8.59 inference(duplicate_literals_removal,[status(thm)],[f23489])).
% 24.49/8.59 fof(f23634,plain,(
% 24.49/8.59 ![X0]: (intersection(complement(X0),X0)=null_class)),
% 24.49/8.59 inference(resolution,[status(thm)],[f23561,f6001])).
% 24.49/8.59 fof(f23713,plain,(
% 24.49/8.59 ![X0]: (complement(null_class)=union(complement(X0),X0))),
% 24.49/8.59 inference(paramodulation,[status(thm)],[f23634,f148])).
% 24.49/8.59 fof(f23837,plain,(
% 24.49/8.59 ![X0]: (universal_class=union(complement(X0),X0))),
% 24.49/8.59 inference(forward_demodulation,[status(thm)],[f5676,f23713])).
% 24.49/8.59 fof(f24064,plain,(
% 24.49/8.59 ~universal_class=universal_class),
% 24.49/8.59 inference(backward_demodulation,[status(thm)],[f23837,f245])).
% 24.49/8.59 fof(f24130,plain,(
% 24.49/8.59 $false),
% 24.49/8.59 inference(trivial_equality_resolution,[status(thm)],[f24064])).
% 24.46/8.64 % SZS output end CNFRefutation for theBenchmark.p
% 24.46/8.69 % Elapsed time: 3.292807 seconds
% 24.46/8.69 % CPU time: 25.778907 seconds
% 24.46/8.69 % Total memory used: 629.374 MB
% 24.46/8.69 % Net memory used: 605.094 MB
%------------------------------------------------------------------------------