%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET098-6 : 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 : n007.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 02:11:32 PM UTC 2026
% Result : Unsatisfiable 190.63s 29.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET098-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n007.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 04:50:26 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.39 % Drodi V4.1.1
% 190.63/29.60 % Refutation found
% 190.63/29.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 190.63/29.60 % SZS output start CNFRefutation for theBenchmark
% 190.63/29.60 fof(f1,axiom,(
% 190.63/29.60 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 190.63/29.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 190.63/29.60 fof(f2,axiom,(
% 190.63/29.60 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 190.63/29.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 190.63/29.60 fof(f3,axiom,(
% 190.63/29.60 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 190.63/29.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 190.63/29.60 fof(f4,axiom,(
% 190.63/29.60 (![X]: (subclass(X,universal_class) ))),
% 190.63/29.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 190.63/29.60 fof(f7,axiom,(
% 190.63/29.60 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 190.63/29.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 190.63/29.60 fof(f8,axiom,(
% 190.63/29.60 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 190.63/29.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 190.63/29.60 fof(f12,axiom,(
% 190.63/29.60 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 190.63/29.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 190.63/29.60 fof(f21,axiom,(
% 190.63/29.60 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 190.63/29.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 190.63/29.60 fof(f22,axiom,(
% 190.63/29.60 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 190.63/29.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 190.63/29.60 fof(f23,axiom,(
% 190.63/29.60 (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 190.63/29.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 190.63/29.60 fof(f24,axiom,(
% 190.63/29.60 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 190.63/29.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 190.63/29.60 fof(f25,axiom,(
% 190.63/29.60 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 190.63/29.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 190.63/29.60 fof(f66,axiom,(
% 190.63/29.60 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 190.63/29.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 190.63/29.60 fof(f67,axiom,(
% 190.63/29.60 (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 190.63/29.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 190.63/29.60 fof(f92,negated_conjecture,(
% 190.63/29.60 ~ member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),x) ),
% 190.63/29.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 190.63/29.60 fof(f93,negated_conjecture,(
% 190.63/29.60 singleton(not_subclass_element(x,null_class)) != x ),
% 190.63/29.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 190.63/29.60 fof(f94,negated_conjecture,(
% 190.63/29.60 x != null_class ),
% 190.63/29.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 190.63/29.60 fof(f95,plain,(
% 190.63/29.60 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 190.63/29.60 inference(miniscoping,[status(thm)],[f1])).
% 190.63/29.60 fof(f96,plain,(
% 190.63/29.60 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 190.63/29.60 inference(cnf_transformation,[status(thm)],[f95])).
% 190.63/29.60 fof(f97,plain,(
% 190.63/29.60 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 190.63/29.60 inference(cnf_transformation,[status(thm)],[f2])).
% 190.63/29.60 fof(f98,plain,(
% 190.63/29.60 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 190.63/29.60 inference(cnf_transformation,[status(thm)],[f3])).
% 190.63/29.60 fof(f99,plain,(
% 190.63/29.60 ![X0]: (subclass(X0,universal_class))),
% 190.63/29.60 inference(cnf_transformation,[status(thm)],[f4])).
% 190.63/29.60 fof(f102,plain,(
% 190.63/29.60 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 190.63/29.60 inference(cnf_transformation,[status(thm)],[f7])).
% 190.63/29.60 fof(f103,plain,(
% 190.63/29.60 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 190.63/29.60 inference(miniscoping,[status(thm)],[f8])).
% 190.63/29.60 fof(f104,plain,(
% 190.63/29.60 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 190.63/29.60 inference(cnf_transformation,[status(thm)],[f103])).
% 190.63/29.60 fof(f110,plain,(
% 190.63/29.60 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 190.63/29.60 inference(cnf_transformation,[status(thm)],[f12])).
% 190.63/29.60 fof(f122,plain,(
% 190.63/29.60 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 190.63/29.60 inference(miniscoping,[status(thm)],[f21])).
% 190.63/29.60 fof(f123,plain,(
% 190.63/29.60 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 190.63/29.60 inference(cnf_transformation,[status(thm)],[f122])).
% 190.63/29.60 fof(f124,plain,(
% 190.63/29.60 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 190.63/29.60 inference(miniscoping,[status(thm)],[f22])).
% 190.63/29.60 fof(f125,plain,(
% 190.63/29.60 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 190.63/29.60 inference(cnf_transformation,[status(thm)],[f124])).
% 190.63/29.60 fof(f126,plain,(
% 190.63/29.60 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 190.63/29.60 inference(cnf_transformation,[status(thm)],[f23])).
% 190.63/29.60 fof(f127,plain,(
% 190.63/29.60 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 190.63/29.60 inference(cnf_transformation,[status(thm)],[f24])).
% 190.63/29.60 fof(f128,plain,(
% 190.63/29.60 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 190.63/29.60 inference(cnf_transformation,[status(thm)],[f25])).
% 190.63/29.60 fof(f169,plain,(
% 190.63/29.60 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 190.63/29.60 inference(cnf_transformation,[status(thm)],[f66])).
% 190.63/29.60 fof(f170,plain,(
% 190.63/29.60 ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 190.63/29.60 inference(cnf_transformation,[status(thm)],[f67])).
% 190.63/29.60 fof(f200,plain,(
% 190.63/29.60 ~member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),x)),
% 190.63/29.60 inference(cnf_transformation,[status(thm)],[f92])).
% 190.63/29.60 fof(f201,plain,(
% 190.63/29.60 ~singleton(not_subclass_element(x,null_class))=x),
% 190.63/29.60 inference(cnf_transformation,[status(thm)],[f93])).
% 190.63/29.60 fof(f202,plain,(
% 190.63/29.60 ~x=null_class),
% 190.63/29.60 inference(cnf_transformation,[status(thm)],[f94])).
% 190.63/29.60 fof(f206,plain,(
% 190.63/29.60 ![X0,X1]: (subclass(complement(X0),X1)|~member(not_subclass_element(complement(X0),X1),X0))),
% 190.63/29.60 inference(resolution,[status(thm)],[f97,f127])).
% 190.63/29.60 fof(f209,plain,(
% 190.63/29.60 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X0)|subclass(intersection(X0,X1),X2))),
% 190.63/29.60 inference(resolution,[status(thm)],[f123,f97])).
% 190.63/29.60 fof(f210,plain,(
% 190.63/29.60 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X1)|subclass(intersection(X0,X1),X2))),
% 190.63/29.60 inference(resolution,[status(thm)],[f125,f97])).
% 190.63/29.60 fof(f211,plain,(
% 190.63/29.60 ![X0,X1,X2]: (~member(not_subclass_element(X0,X1),X2)|member(not_subclass_element(X0,X1),intersection(X2,X0))|subclass(X0,X1))),
% 190.63/29.60 inference(resolution,[status(thm)],[f126,f97])).
% 190.63/29.60 fof(f212,plain,(
% 190.63/29.60 ![X0,X1,X2]: (~subclass(X0,X1)|member(not_subclass_element(X0,X2),X1)|subclass(X0,X2))),
% 190.63/29.60 inference(resolution,[status(thm)],[f96,f97])).
% 190.63/29.60 fof(f215,plain,(
% 190.63/29.60 ![X0,X1,X2]: (not_subclass_element(unordered_pair(X0,X1),X2)=X0|not_subclass_element(unordered_pair(X0,X1),X2)=X1|subclass(unordered_pair(X0,X1),X2))),
% 190.63/29.60 inference(resolution,[status(thm)],[f104,f97])).
% 190.63/29.60 fof(f219,plain,(
% 190.63/29.60 ![X0,X1]: (member(not_subclass_element(X0,X1),universal_class)|subclass(X0,X1))),
% 190.63/29.60 inference(resolution,[status(thm)],[f212,f99])).
% 190.63/29.60 fof(f221,plain,(
% 190.63/29.60 ![X0]: (subclass(complement(universal_class),X0)|subclass(complement(universal_class),X0))),
% 190.63/29.60 inference(resolution,[status(thm)],[f219,f206])).
% 190.63/29.60 fof(f228,plain,(
% 190.63/29.60 ![X0]: (subclass(complement(universal_class),X0))),
% 190.63/29.60 inference(duplicate_literals_removal,[status(thm)],[f221])).
% 190.63/29.60 fof(f230,plain,(
% 190.63/29.60 ![X0,X1]: (subclass(intersection(X0,X1),X0)|subclass(intersection(X0,X1),X0))),
% 190.63/29.60 inference(resolution,[status(thm)],[f209,f98])).
% 190.63/29.60 fof(f231,plain,(
% 190.63/29.60 ![X0,X1,X2]: (subclass(intersection(universal_class,X0),X1)|member(not_subclass_element(intersection(universal_class,X0),X1),complement(X2))|member(not_subclass_element(intersection(universal_class,X0),X1),X2))),
% 190.63/29.60 inference(resolution,[status(thm)],[f209,f128])).
% 190.63/29.60 fof(f240,plain,(
% 190.63/29.60 ![X0,X1]: (subclass(intersection(X0,X1),X0))),
% 190.63/29.60 inference(duplicate_literals_removal,[status(thm)],[f230])).
% 190.63/29.60 fof(f241,plain,(
% 190.63/29.60 subclass(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class)),
% 190.63/29.60 inference(resolution,[status(thm)],[f210,f200])).
% 190.63/29.60 fof(f242,plain,(
% 190.63/29.60 ![X0,X1]: (subclass(intersection(X0,X1),X1)|subclass(intersection(X0,X1),X1))),
% 190.63/29.60 inference(resolution,[status(thm)],[f210,f98])).
% 190.63/29.60 fof(f252,plain,(
% 190.63/29.60 ![X0,X1]: (subclass(intersection(X0,X1),X1))),
% 190.63/29.60 inference(duplicate_literals_removal,[status(thm)],[f242])).
% 190.63/29.60 fof(f255,plain,(
% 190.63/29.60 ![X0,X1]: (member(not_subclass_element(X0,X1),intersection(universal_class,X0))|subclass(X0,X1)|subclass(X0,X1))),
% 190.63/29.60 inference(resolution,[status(thm)],[f211,f219])).
% 190.63/29.60 fof(f259,plain,(
% 190.63/29.60 ![X0,X1]: (member(not_subclass_element(X0,X1),intersection(universal_class,X0))|subclass(X0,X1))),
% 190.63/29.60 inference(duplicate_literals_removal,[status(thm)],[f255])).
% 190.63/29.60 fof(f274,plain,(
% 190.63/29.60 ![X0,X1]: (not_subclass_element(unordered_pair(X0,X0),X1)=X0|not_subclass_element(unordered_pair(X0,X0),X1)=X0|subclass(singleton(X0),X1))),
% 190.63/29.60 inference(paramodulation,[status(thm)],[f110,f215])).
% 190.63/29.60 fof(f275,plain,(
% 190.63/29.60 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 190.63/29.60 inference(paramodulation,[status(thm)],[f110,f104])).
% 190.63/29.60 fof(f276,plain,(
% 190.63/29.60 ![X0,X1]: (not_subclass_element(singleton(X0),X1)=X0|not_subclass_element(unordered_pair(X0,X0),X1)=X0|subclass(singleton(X0),X1))),
% 190.63/29.60 inference(forward_demodulation,[status(thm)],[f110,f274])).
% 190.63/29.60 fof(f277,plain,(
% 190.63/29.60 ![X0,X1]: (not_subclass_element(singleton(X0),X1)=X0|not_subclass_element(singleton(X0),X1)=X0|subclass(singleton(X0),X1))),
% 190.63/29.60 inference(forward_demodulation,[status(thm)],[f110,f276])).
% 190.63/29.60 fof(f278,plain,(
% 190.63/29.60 ![X0,X1]: (not_subclass_element(singleton(X0),X1)=X0|subclass(singleton(X0),X1))),
% 190.63/29.60 inference(duplicate_literals_removal,[status(thm)],[f277])).
% 190.63/29.60 fof(f279,plain,(
% 190.63/29.60 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 190.63/29.60 inference(duplicate_literals_removal,[status(thm)],[f275])).
% 190.63/29.60 fof(f292,plain,(
% 190.63/29.60 ~subclass(null_class,intersection(complement(singleton(not_subclass_element(x,null_class))),x))|null_class=intersection(complement(singleton(not_subclass_element(x,null_class))),x)),
% 190.63/29.60 inference(resolution,[status(thm)],[f241,f102])).
% 190.63/29.60 fof(f300,plain,(
% 190.63/29.60 ![X0]: (~subclass(X0,complement(universal_class))|X0=complement(universal_class))),
% 190.63/29.60 inference(resolution,[status(thm)],[f228,f102])).
% 190.63/29.60 fof(f326,plain,(
% 190.63/29.60 ![X0,X1]: (~subclass(X0,intersection(X1,X0))|X0=intersection(X1,X0))),
% 190.63/29.60 inference(resolution,[status(thm)],[f252,f102])).
% 190.63/29.60 fof(f378,plain,(
% 190.63/29.60 ![X0]: (intersection(X0,complement(universal_class))=complement(universal_class))),
% 190.63/29.60 inference(resolution,[status(thm)],[f300,f252])).
% 190.63/29.60 fof(f379,plain,(
% 190.63/29.60 ![X0]: (intersection(complement(universal_class),X0)=complement(universal_class))),
% 190.63/29.60 inference(resolution,[status(thm)],[f300,f240])).
% 190.63/29.60 fof(f513,plain,(
% 190.63/29.60 ![X0,X1]: (~member(X0,complement(universal_class))|member(X0,X1))),
% 190.63/29.60 inference(paramodulation,[status(thm)],[f378,f123])).
% 190.63/29.60 fof(f589,plain,(
% 190.63/29.60 ![X0,X1,X2]: (subclass(intersection(universal_class,X0),X1)|member(not_subclass_element(intersection(universal_class,X0),X1),X2)|member(not_subclass_element(intersection(universal_class,X0),X1),intersection(complement(X2),intersection(universal_class,X0)))|subclass(intersection(universal_class,X0),X1))),
% 190.63/29.60 inference(resolution,[status(thm)],[f231,f211])).
% 190.63/29.60 fof(f597,plain,(
% 190.63/29.60 ![X0,X1,X2]: (subclass(intersection(universal_class,X0),X1)|member(not_subclass_element(intersection(universal_class,X0),X1),X2)|member(not_subclass_element(intersection(universal_class,X0),X1),intersection(complement(X2),intersection(universal_class,X0))))),
% 190.63/29.60 inference(duplicate_literals_removal,[status(thm)],[f589])).
% 190.63/29.60 fof(f630,plain,(
% 190.63/29.60 ![X0,X1]: (X0=null_class|~subclass(X0,X1)|member(regular(X0),X1))),
% 190.63/29.60 inference(resolution,[status(thm)],[f169,f96])).
% 190.63/29.60 fof(f903,plain,(
% 190.63/29.60 complement(universal_class)=null_class|complement(universal_class)=null_class),
% 190.63/29.60 inference(paramodulation,[status(thm)],[f379,f170])).
% 190.63/29.60 fof(f916,plain,(
% 190.63/29.60 complement(universal_class)=null_class),
% 190.63/29.60 inference(duplicate_literals_removal,[status(thm)],[f903])).
% 190.63/29.60 fof(f947,plain,(
% 190.63/29.60 ![X0,X1]: (~member(X0,null_class)|member(X0,X1))),
% 190.63/29.60 inference(backward_demodulation,[status(thm)],[f916,f513])).
% 190.63/29.60 fof(f952,plain,(
% 190.63/29.60 ![X0]: (subclass(null_class,X0))),
% 190.63/29.60 inference(backward_demodulation,[status(thm)],[f916,f228])).
% 190.63/29.60 fof(f964,plain,(
% 190.63/29.60 ![X0]: (~member(X0,null_class)|~member(X0,universal_class))),
% 190.63/29.60 inference(paramodulation,[status(thm)],[f916,f127])).
% 190.63/29.60 fof(f970,plain,(
% 190.63/29.60 null_class=intersection(complement(singleton(not_subclass_element(x,null_class))),x)),
% 190.63/29.60 inference(backward_subsumption_resolution,[status(thm)],[f292,f952])).
% 190.63/29.60 fof(f2422,plain,(
% 190.63/29.60 ![X0]: (~member(X0,null_class))),
% 190.63/29.60 inference(forward_subsumption_resolution,[status(thm)],[f964,f947])).
% 190.63/29.60 fof(f97884,plain,(
% 190.63/29.60 ![X0]: (subclass(X0,intersection(universal_class,X0))|subclass(X0,intersection(universal_class,X0)))),
% 43.12/29.88 inference(resolution,[status(thm)],[f259,f98])).
% 43.12/29.88 fof(f97933,plain,(
% 43.12/29.88 ![X0]: (subclass(X0,intersection(universal_class,X0)))),
% 43.12/29.88 inference(duplicate_literals_removal,[status(thm)],[f97884])).
% 43.12/29.88 fof(f98052,plain,(
% 43.12/29.88 ![X0]: (X0=intersection(universal_class,X0))),
% 43.12/29.88 inference(resolution,[status(thm)],[f97933,f326])).
% 43.12/29.88 fof(f124986,plain,(
% 43.12/29.88 ![X0,X1,X2]: (subclass(X0,X1)|member(not_subclass_element(intersection(universal_class,X0),X1),X2)|member(not_subclass_element(intersection(universal_class,X0),X1),intersection(complement(X2),intersection(universal_class,X0))))),
% 43.12/29.88 inference(forward_demodulation,[status(thm)],[f98052,f597])).
% 43.12/29.88 fof(f124987,plain,(
% 43.12/29.88 ![X0,X1,X2]: (subclass(X0,X1)|member(not_subclass_element(X0,X1),X2)|member(not_subclass_element(intersection(universal_class,X0),X1),intersection(complement(X2),intersection(universal_class,X0))))),
% 43.12/29.88 inference(forward_demodulation,[status(thm)],[f98052,f124986])).
% 43.12/29.88 fof(f124988,plain,(
% 43.12/29.88 ![X0,X1,X2]: (subclass(X0,X1)|member(not_subclass_element(X0,X1),X2)|member(not_subclass_element(X0,X1),intersection(complement(X2),intersection(universal_class,X0))))),
% 43.12/29.88 inference(forward_demodulation,[status(thm)],[f98052,f124987])).
% 43.12/29.88 fof(f124989,plain,(
% 43.12/29.88 ![X0,X1,X2]: (subclass(X0,X1)|member(not_subclass_element(X0,X1),X2)|member(not_subclass_element(X0,X1),intersection(complement(X2),X0)))),
% 43.12/29.88 inference(forward_demodulation,[status(thm)],[f98052,f124988])).
% 43.12/29.88 fof(f125062,plain,(
% 43.12/29.88 ![X0]: (subclass(x,X0)|member(not_subclass_element(x,X0),singleton(not_subclass_element(x,null_class)))|member(not_subclass_element(x,X0),null_class))),
% 43.12/29.88 inference(paramodulation,[status(thm)],[f970,f124989])).
% 43.12/29.88 fof(f125164,plain,(
% 43.12/29.88 ![X0]: (subclass(x,X0)|member(not_subclass_element(x,X0),singleton(not_subclass_element(x,null_class))))),
% 43.12/29.88 inference(forward_subsumption_resolution,[status(thm)],[f125062,f2422])).
% 43.12/29.88 fof(f126342,plain,(
% 43.12/29.88 subclass(x,singleton(not_subclass_element(x,null_class)))|subclass(x,singleton(not_subclass_element(x,null_class)))),
% 43.12/29.88 inference(resolution,[status(thm)],[f125164,f98])).
% 43.12/29.88 fof(f126358,plain,(
% 43.12/29.88 subclass(x,singleton(not_subclass_element(x,null_class)))),
% 43.12/29.88 inference(duplicate_literals_removal,[status(thm)],[f126342])).
% 43.12/29.88 fof(f137695,plain,(
% 43.12/29.88 x=null_class|member(regular(x),singleton(not_subclass_element(x,null_class)))),
% 43.12/29.88 inference(resolution,[status(thm)],[f126358,f630])).
% 43.12/29.88 fof(f137699,plain,(
% 43.12/29.88 ~subclass(singleton(not_subclass_element(x,null_class)),x)|singleton(not_subclass_element(x,null_class))=x),
% 43.12/29.88 inference(resolution,[status(thm)],[f126358,f102])).
% 43.12/29.88 fof(f137700,plain,(
% 43.12/29.88 member(regular(x),singleton(not_subclass_element(x,null_class)))),
% 43.12/29.88 inference(forward_subsumption_resolution,[status(thm)],[f137695,f202])).
% 43.12/29.88 fof(f137701,plain,(
% 43.12/29.88 ~subclass(singleton(not_subclass_element(x,null_class)),x)),
% 43.12/29.88 inference(forward_subsumption_resolution,[status(thm)],[f137699,f201])).
% 43.12/29.88 fof(f140777,plain,(
% 43.12/29.88 regular(x)=not_subclass_element(x,null_class)),
% 43.12/29.88 inference(resolution,[status(thm)],[f137700,f279])).
% 43.12/29.88 fof(f140892,plain,(
% 43.12/29.88 ~subclass(singleton(regular(x)),x)),
% 43.12/29.88 inference(backward_demodulation,[status(thm)],[f140777,f137701])).
% 43.12/29.88 fof(f141062,plain,(
% 43.12/29.88 not_subclass_element(singleton(regular(x)),x)=regular(x)),
% 43.12/29.88 inference(resolution,[status(thm)],[f140892,f278])).
% 43.12/29.88 fof(f147894,plain,(
% 43.12/29.88 ~member(regular(x),x)|subclass(singleton(regular(x)),x)),
% 43.12/29.88 inference(paramodulation,[status(thm)],[f141062,f98])).
% 43.12/29.88 fof(f147956,plain,(
% 43.12/29.88 ~member(regular(x),x)),
% 43.12/29.88 inference(forward_subsumption_resolution,[status(thm)],[f147894,f140892])).
% 43.12/29.88 fof(f147996,plain,(
% 43.12/29.88 x=null_class),
% 43.12/29.88 inference(resolution,[status(thm)],[f147956,f169])).
% 43.12/29.88 fof(f147999,plain,(
% 43.12/29.88 $false),
% 43.12/29.88 inference(forward_subsumption_resolution,[status(thm)],[f147996,f202])).
% 43.12/29.88 % SZS output end CNFRefutation for theBenchmark.p
% 10.54/29.93 % Elapsed time: 24.538960 seconds
% 10.54/29.93 % CPU time: 192.819370 seconds
% 10.54/29.93 % Total memory used: 1.349 GB
% 10.54/29.93 % Net memory used: 1.259 GB
%------------------------------------------------------------------------------