%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET153-6 : 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 : n017.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 0.15s 10.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET153-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/10.38 % Computer : n017.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Mon Sep 21 04:52:23 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.15/10.40 % Drodi V4.1.1
% 0.15/10.59 % Refutation found
% 0.15/10.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/10.59 % SZS output start CNFRefutation for theBenchmark
% 0.15/10.59 fof(f2,axiom,(
% 0.15/10.59 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.15/10.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.59 fof(f3,axiom,(
% 0.15/10.59 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 0.15/10.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.59 fof(f7,axiom,(
% 0.15/10.59 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 0.15/10.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.59 fof(f21,axiom,(
% 0.15/10.59 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 0.15/10.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.59 fof(f22,axiom,(
% 0.15/10.59 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 0.15/10.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.59 fof(f24,axiom,(
% 0.15/10.59 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.15/10.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.59 fof(f67,axiom,(
% 0.15/10.59 (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 0.15/10.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.59 fof(f113,negated_conjecture,(
% 0.15/10.59 intersection(complement(x),x) != null_class ),
% 0.15/10.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.59 fof(f116,plain,(
% 0.15/10.59 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.15/10.59 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/10.59 fof(f117,plain,(
% 0.15/10.59 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 0.15/10.59 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/10.59 fof(f121,plain,(
% 0.15/10.59 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 0.15/10.59 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/10.59 fof(f141,plain,(
% 0.15/10.59 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 0.15/10.59 inference(miniscoping,[status(thm)],[f21])).
% 0.15/10.59 fof(f142,plain,(
% 0.15/10.59 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.15/10.59 inference(cnf_transformation,[status(thm)],[f141])).
% 0.15/10.59 fof(f143,plain,(
% 0.15/10.59 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 0.15/10.59 inference(miniscoping,[status(thm)],[f22])).
% 0.15/10.59 fof(f144,plain,(
% 0.15/10.59 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 0.15/10.59 inference(cnf_transformation,[status(thm)],[f143])).
% 0.15/10.59 fof(f146,plain,(
% 0.15/10.59 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.15/10.59 inference(cnf_transformation,[status(thm)],[f24])).
% 0.15/10.59 fof(f189,plain,(
% 0.15/10.59 ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 0.15/10.59 inference(cnf_transformation,[status(thm)],[f67])).
% 0.15/10.59 fof(f245,plain,(
% 0.15/10.59 ~intersection(complement(x),x)=null_class),
% 0.15/10.59 inference(cnf_transformation,[status(thm)],[f113])).
% 0.15/10.59 fof(f252,plain,(
% 0.15/10.59 ![X0,X1,X2]: (subclass(intersection(X0,X1),X2)|member(not_subclass_element(intersection(X0,X1),X2),X1))),
% 0.15/10.59 inference(resolution,[status(thm)],[f116,f144])).
% 0.15/10.59 fof(f253,plain,(
% 0.15/10.59 ![X0,X1,X2]: (subclass(intersection(X0,X1),X2)|member(not_subclass_element(intersection(X0,X1),X2),X0))),
% 0.15/10.59 inference(resolution,[status(thm)],[f116,f142])).
% 0.15/10.59 fof(f279,plain,(
% 0.15/10.59 ![X0,X1]: (subclass(intersection(X0,X1),X0)|subclass(intersection(X0,X1),X0))),
% 0.15/10.59 inference(resolution,[status(thm)],[f253,f117])).
% 0.15/10.59 fof(f284,plain,(
% 0.15/10.59 ![X0,X1,X2]: (subclass(intersection(complement(X0),X1),X2)|~member(not_subclass_element(intersection(complement(X0),X1),X2),X0))),
% 0.15/10.59 inference(resolution,[status(thm)],[f253,f146])).
% 0.15/10.59 fof(f289,plain,(
% 0.15/10.59 ![X0,X1]: (subclass(intersection(X0,X1),X0))),
% 0.15/10.59 inference(duplicate_literals_removal,[status(thm)],[f279])).
% 0.15/10.59 fof(f730,plain,(
% 0.15/10.59 ![X0,X1]: (subclass(intersection(complement(X0),X0),X1)|subclass(intersection(complement(X0),X0),X1))),
% 0.15/10.59 inference(resolution,[status(thm)],[f284,f252])).
% 0.15/10.59 fof(f737,plain,(
% 0.15/10.59 ![X0,X1]: (subclass(intersection(complement(X0),X0),X1))),
% 0.15/10.59 inference(duplicate_literals_removal,[status(thm)],[f730])).
% 0.15/10.59 fof(f1194,plain,(
% 0.15/10.59 ![X0]: (subclass(null_class,X0)|X0=null_class)),
% 0.15/10.59 inference(paramodulation,[status(thm)],[f189,f289])).
% 0.15/10.59 fof(f1251,plain,(
% 0.15/10.59 ![X0]: (X0=null_class|~subclass(X0,null_class)|X0=null_class)),
% 0.15/10.59 inference(resolution,[status(thm)],[f1194,f121])).
% 0.15/10.59 fof(f1254,plain,(
% 0.15/10.59 ![X0]: (X0=null_class|~subclass(X0,null_class))),
% 0.15/10.59 inference(duplicate_literals_removal,[status(thm)],[f1251])).
% 0.15/10.59 fof(f1889,plain,(
% 0.15/10.59 ![X0]: (intersection(complement(X0),X0)=null_class)),
% 0.15/10.59 inference(resolution,[status(thm)],[f1254,f737])).
% 0.15/10.59 fof(f2309,plain,(
% 0.15/10.59 ~null_class=null_class),
% 0.15/10.59 inference(backward_demodulation,[status(thm)],[f1889,f245])).
% 0.15/10.59 fof(f2372,plain,(
% 0.15/10.59 $false),
% 0.15/10.59 inference(trivial_equality_resolution,[status(thm)],[f2309])).
% 0.15/10.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/10.61 % Elapsed time: 0.214524 seconds
% 0.15/10.61 % CPU time: 1.434743 seconds
% 0.15/10.61 % Total memory used: 128.390 MB
% 0.15/10.61 % Net memory used: 125.612 MB
%------------------------------------------------------------------------------