%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET516-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 31 12:34:38 EDT 2023

% Result   : Unsatisfiable 2.01s 0.73s
% Output   : CNFRefutation 2.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SET516-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.32  % Computer : n018.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Tue May 30 10:25:55 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.17/0.34  % Drodi V3.5.1
% 2.01/0.73  % Refutation found
% 2.01/0.73  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.01/0.73  % SZS output start CNFRefutation for theBenchmark
% 2.01/0.73  fof(f1,axiom,(
% 2.01/0.73    (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f2,axiom,(
% 2.01/0.73    (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f3,axiom,(
% 2.01/0.73    (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f4,axiom,(
% 2.01/0.73    (![X]: (subclass(X,universal_class) ))),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f5,axiom,(
% 2.01/0.73    (![X,Y]: (( X != Y| subclass(X,Y) ) ))),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f8,axiom,(
% 2.01/0.73    (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f9,axiom,(
% 2.01/0.73    (![X,Y]: (( ~ member(X,universal_class)| member(X,unordered_pair(X,Y)) ) ))),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f10,axiom,(
% 2.01/0.73    (![Y,X]: (( ~ member(Y,universal_class)| member(Y,unordered_pair(X,Y)) ) ))),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f11,axiom,(
% 2.01/0.73    (![X,Y]: (member(unordered_pair(X,Y),universal_class) ))),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f12,axiom,(
% 2.01/0.73    (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f13,axiom,(
% 2.01/0.73    (![X,Y]: (unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y) ))),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f18,axiom,(
% 2.01/0.73    subclass(element_relation,cross_product(universal_class,universal_class)) ),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f19,axiom,(
% 2.01/0.73    (![X,Y]: (( ~ member(ordered_pair(X,Y),element_relation)| member(X,Y) ) ))),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f20,axiom,(
% 2.01/0.73    (![X,Y]: (( ~ member(ordered_pair(X,Y),cross_product(universal_class,universal_class))| ~ member(X,Y)| member(ordered_pair(X,Y),element_relation) ) ))),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f21,axiom,(
% 2.01/0.73    (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f23,axiom,(
% 2.01/0.73    (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f24,axiom,(
% 2.01/0.73    (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f25,axiom,(
% 2.01/0.73    (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f44,axiom,(
% 2.01/0.73    subclass(successor_relation,cross_product(universal_class,universal_class)) ),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f47,axiom,(
% 2.01/0.73    (![X]: (( ~ inductive(X)| member(null_class,X) ) ))),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f48,axiom,(
% 2.01/0.73    (![X]: (( ~ inductive(X)| subclass(image(successor_relation,X),X) ) ))),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f49,axiom,(
% 2.01/0.73    (![X]: (( ~ member(null_class,X)| ~ subclass(image(successor_relation,X),X)| inductive(X) ) ))),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f50,axiom,(
% 2.01/0.73    inductive(omega) ),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f52,axiom,(
% 2.01/0.73    member(omega,universal_class) ),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f54,axiom,(
% 2.01/0.73    (![X]: (( ~ member(X,universal_class)| member(sum_class(X),universal_class) ) ))),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f56,axiom,(
% 2.01/0.73    (![U]: (( ~ member(U,universal_class)| member(power_class(U),universal_class) ) ))),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f59,axiom,(
% 2.01/0.73    (![Z,Yr,Xr,Y]: (( ~ member(Z,image(Yr,image(Xr,singleton(Y))))| ~ member(ordered_pair(Y,Z),cross_product(universal_class,universal_class))| member(ordered_pair(Y,Z),compose(Yr,Xr)) ) ))),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f66,axiom,(
% 2.01/0.73    (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f67,axiom,(
% 2.01/0.73    (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f94,axiom,(
% 2.01/0.73    (![Y,Z,X]: (( ~ member(ordered_pair(Y,Z),cross_product(universal_class,universal_class))| compose(X,Y) != Z| member(ordered_pair(Y,Z),compose_class(X)) ) ))),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f97,axiom,(
% 2.01/0.73    (![X,Y]: (( ~ member(ordered_pair(X,Y),cross_product(universal_class,universal_class))| member(ordered_pair(X,ordered_pair(Y,compose(X,Y))),composition_function) ) ))),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f113,negated_conjecture,(
% 2.01/0.73    singleton(x) = x ),
% 2.01/0.73    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.01/0.73  fof(f114,plain,(
% 2.01/0.73    ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 2.01/0.73    inference(miniscoping,[status(esa)],[f1])).
% 2.01/0.73  fof(f115,plain,(
% 2.01/0.73    ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f114])).
% 2.01/0.73  fof(f116,plain,(
% 2.01/0.73    ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f2])).
% 2.01/0.73  fof(f117,plain,(
% 2.01/0.73    ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f3])).
% 2.01/0.73  fof(f118,plain,(
% 2.01/0.73    ![X0]: (subclass(X0,universal_class))),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f4])).
% 2.01/0.73  fof(f119,plain,(
% 2.01/0.73    ![X0,X1]: (~X0=X1|subclass(X0,X1))),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f5])).
% 2.01/0.73  fof(f122,plain,(
% 2.01/0.73    ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 2.01/0.73    inference(miniscoping,[status(esa)],[f8])).
% 2.01/0.73  fof(f123,plain,(
% 2.01/0.73    ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f122])).
% 2.01/0.73  fof(f124,plain,(
% 2.01/0.73    ![X]: (~member(X,universal_class)|(![Y]: member(X,unordered_pair(X,Y))))),
% 2.01/0.73    inference(miniscoping,[status(esa)],[f9])).
% 2.01/0.73  fof(f125,plain,(
% 2.01/0.73    ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X0,X1)))),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f124])).
% 2.01/0.73  fof(f126,plain,(
% 2.01/0.73    ![Y]: (~member(Y,universal_class)|(![X]: member(Y,unordered_pair(X,Y))))),
% 2.01/0.73    inference(miniscoping,[status(esa)],[f10])).
% 2.01/0.73  fof(f127,plain,(
% 2.01/0.73    ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X1,X0)))),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f126])).
% 2.01/0.73  fof(f128,plain,(
% 2.01/0.73    ![X0,X1]: (member(unordered_pair(X0,X1),universal_class))),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f11])).
% 2.01/0.73  fof(f129,plain,(
% 2.01/0.73    ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f12])).
% 2.01/0.73  fof(f130,plain,(
% 2.01/0.73    ![X0,X1]: (unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1)))=ordered_pair(X0,X1))),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f13])).
% 2.01/0.73  fof(f138,plain,(
% 2.01/0.73    subclass(element_relation,cross_product(universal_class,universal_class))),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f18])).
% 2.01/0.73  fof(f139,plain,(
% 2.01/0.73    ![X0,X1]: (~member(ordered_pair(X0,X1),element_relation)|member(X0,X1))),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f19])).
% 2.01/0.73  fof(f140,plain,(
% 2.01/0.73    ![X0,X1]: (~member(ordered_pair(X0,X1),cross_product(universal_class,universal_class))|~member(X0,X1)|member(ordered_pair(X0,X1),element_relation))),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f20])).
% 2.01/0.73  fof(f141,plain,(
% 2.01/0.73    ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 2.01/0.73    inference(miniscoping,[status(esa)],[f21])).
% 2.01/0.73  fof(f142,plain,(
% 2.01/0.73    ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f141])).
% 2.01/0.73  fof(f145,plain,(
% 2.01/0.73    ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f23])).
% 2.01/0.73  fof(f146,plain,(
% 2.01/0.73    ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f24])).
% 2.01/0.73  fof(f147,plain,(
% 2.01/0.73    ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f25])).
% 2.01/0.73  fof(f166,plain,(
% 2.01/0.73    subclass(successor_relation,cross_product(universal_class,universal_class))),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f44])).
% 2.01/0.73  fof(f169,plain,(
% 2.01/0.73    ![X0]: (~inductive(X0)|member(null_class,X0))),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f47])).
% 2.01/0.73  fof(f170,plain,(
% 2.01/0.73    ![X0]: (~inductive(X0)|subclass(image(successor_relation,X0),X0))),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f48])).
% 2.01/0.73  fof(f171,plain,(
% 2.01/0.73    ![X0]: (~member(null_class,X0)|~subclass(image(successor_relation,X0),X0)|inductive(X0))),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f49])).
% 2.01/0.73  fof(f172,plain,(
% 2.01/0.73    inductive(omega)),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f50])).
% 2.01/0.73  fof(f174,plain,(
% 2.01/0.73    member(omega,universal_class)),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f52])).
% 2.01/0.73  fof(f176,plain,(
% 2.01/0.73    ![X0]: (~member(X0,universal_class)|member(sum_class(X0),universal_class))),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f54])).
% 2.01/0.73  fof(f178,plain,(
% 2.01/0.73    ![X0]: (~member(X0,universal_class)|member(power_class(X0),universal_class))),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f56])).
% 2.01/0.73  fof(f181,plain,(
% 2.01/0.73    ![X0,X1,X2,X3]: (~member(X0,image(X1,image(X2,singleton(X3))))|~member(ordered_pair(X3,X0),cross_product(universal_class,universal_class))|member(ordered_pair(X3,X0),compose(X1,X2)))),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f59])).
% 2.01/0.73  fof(f188,plain,(
% 2.01/0.73    ![X0]: (X0=null_class|member(regular(X0),X0))),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f66])).
% 2.01/0.73  fof(f189,plain,(
% 2.01/0.73    ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f67])).
% 2.01/0.73  fof(f221,plain,(
% 2.01/0.73    ![X0,X1,X2]: (~member(ordered_pair(X0,X1),cross_product(universal_class,universal_class))|~compose(X2,X0)=X1|member(ordered_pair(X0,X1),compose_class(X2)))),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f94])).
% 2.01/0.73  fof(f224,plain,(
% 2.01/0.73    ![X0,X1]: (~member(ordered_pair(X0,X1),cross_product(universal_class,universal_class))|member(ordered_pair(X0,ordered_pair(X1,compose(X0,X1))),composition_function))),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f97])).
% 2.01/0.73  fof(f245,plain,(
% 2.01/0.73    singleton(x)=x),
% 2.01/0.73    inference(cnf_transformation,[status(esa)],[f113])).
% 2.01/0.73  fof(f246,plain,(
% 2.01/0.73    ![X0]: (subclass(X0,X0))),
% 2.01/0.73    inference(destructive_equality_resolution,[status(esa)],[f119])).
% 2.01/0.73  fof(f252,plain,(
% 2.01/0.73    ![X0]: (member(singleton(X0),universal_class))),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f129,f128])).
% 2.01/0.73  fof(f254,plain,(
% 2.01/0.73    member(x,universal_class)),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f245,f252])).
% 2.01/0.73  fof(f262,plain,(
% 2.01/0.73    member(null_class,omega)),
% 2.01/0.73    inference(resolution,[status(thm)],[f169,f172])).
% 2.01/0.73  fof(f282,plain,(
% 2.01/0.73    ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f129,f123])).
% 2.01/0.73  fof(f283,plain,(
% 2.01/0.73    ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 2.01/0.73    inference(duplicate_literals_removal,[status(esa)],[f282])).
% 2.01/0.73  fof(f293,plain,(
% 2.01/0.73    ![X0]: (member(x,unordered_pair(x,X0)))),
% 2.01/0.73    inference(resolution,[status(thm)],[f125,f254])).
% 2.01/0.73  fof(f294,plain,(
% 2.01/0.73    ![X0,X1]: (member(singleton(X0),unordered_pair(singleton(X0),X1)))),
% 2.01/0.73    inference(resolution,[status(thm)],[f125,f252])).
% 2.01/0.73  fof(f296,plain,(
% 2.01/0.73    ![X0]: (member(omega,unordered_pair(omega,X0)))),
% 2.01/0.73    inference(resolution,[status(thm)],[f125,f174])).
% 2.01/0.73  fof(f297,plain,(
% 2.01/0.73    ![X0,X1,X2]: (member(X0,unordered_pair(X0,X1))|~subclass(X2,universal_class)|~member(X0,X2))),
% 2.01/0.73    inference(resolution,[status(thm)],[f125,f115])).
% 2.01/0.73  fof(f298,plain,(
% 2.01/0.73    ![X0,X1,X2]: (member(X0,unordered_pair(X0,X1))|~member(X0,X2))),
% 2.01/0.73    inference(forward_subsumption_resolution,[status(thm)],[f297,f118])).
% 2.01/0.73  fof(f308,plain,(
% 2.01/0.73    ![X0]: (member(omega,unordered_pair(X0,omega)))),
% 2.01/0.73    inference(resolution,[status(thm)],[f127,f174])).
% 2.01/0.73  fof(f309,plain,(
% 2.01/0.73    ![X0,X1,X2]: (member(X0,unordered_pair(X1,X0))|~subclass(X2,universal_class)|~member(X0,X2))),
% 2.01/0.73    inference(resolution,[status(thm)],[f127,f115])).
% 2.01/0.73  fof(f310,plain,(
% 2.01/0.73    ![X0,X1,X2]: (member(X0,unordered_pair(X1,X0))|~member(X0,X2))),
% 2.01/0.73    inference(forward_subsumption_resolution,[status(thm)],[f309,f118])).
% 2.01/0.73  fof(f350,plain,(
% 2.01/0.73    spl0_8 <=> x=x),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f359,plain,(
% 2.01/0.73    member(x,singleton(x))),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f129,f293])).
% 2.01/0.73  fof(f360,plain,(
% 2.01/0.73    member(x,x)),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f245,f359])).
% 2.01/0.73  fof(f361,plain,(
% 2.01/0.73    ![X0]: (~subclass(x,X0)|member(x,X0))),
% 2.01/0.73    inference(resolution,[status(thm)],[f360,f115])).
% 2.01/0.73  fof(f377,plain,(
% 2.01/0.73    ![X0]: (~subclass(omega,X0)|member(null_class,X0))),
% 2.01/0.73    inference(resolution,[status(thm)],[f262,f115])).
% 2.01/0.73  fof(f380,plain,(
% 2.01/0.73    ![X0]: (~member(X0,x)|X0=x)),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f245,f283])).
% 2.01/0.73  fof(f381,plain,(
% 2.01/0.73    ![X0]: (not_subclass_element(x,X0)=x|subclass(x,X0))),
% 2.01/0.73    inference(resolution,[status(thm)],[f380,f116])).
% 2.01/0.73  fof(f382,plain,(
% 2.01/0.73    ![X0,X1]: (X0=x|~subclass(X1,x)|~member(X0,X1))),
% 2.01/0.73    inference(resolution,[status(thm)],[f380,f115])).
% 2.01/0.73  fof(f383,plain,(
% 2.01/0.73    ![X0]: (not_subclass_element(x,X0)=x|member(x,X0))),
% 2.01/0.73    inference(resolution,[status(thm)],[f381,f361])).
% 2.01/0.73  fof(f385,plain,(
% 2.01/0.73    spl0_10 <=> null_class=x),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f386,plain,(
% 2.01/0.73    null_class=x|~spl0_10),
% 2.01/0.73    inference(component_clause,[status(thm)],[f385])).
% 2.01/0.73  fof(f388,plain,(
% 2.01/0.73    spl0_11 <=> subclass(omega,x)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f390,plain,(
% 2.01/0.73    ~subclass(omega,x)|spl0_11),
% 2.01/0.73    inference(component_clause,[status(thm)],[f388])).
% 2.01/0.73  fof(f391,plain,(
% 2.01/0.73    null_class=x|~subclass(omega,x)),
% 2.01/0.73    inference(resolution,[status(thm)],[f382,f262])).
% 2.01/0.73  fof(f392,plain,(
% 2.01/0.73    spl0_10|~spl0_11),
% 2.01/0.73    inference(split_clause,[status(thm)],[f391,f385,f388])).
% 2.01/0.73  fof(f396,plain,(
% 2.01/0.73    spl0_13 <=> subclass(universal_class,x)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f398,plain,(
% 2.01/0.73    ~subclass(universal_class,x)|spl0_13),
% 2.01/0.73    inference(component_clause,[status(thm)],[f396])).
% 2.01/0.73  fof(f417,plain,(
% 2.01/0.73    spl0_17 <=> subclass(x,x)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f419,plain,(
% 2.01/0.73    ~subclass(x,x)|spl0_17),
% 2.01/0.73    inference(component_clause,[status(thm)],[f417])).
% 2.01/0.73  fof(f420,plain,(
% 2.01/0.73    x=x|~subclass(x,x)),
% 2.01/0.73    inference(resolution,[status(thm)],[f382,f360])).
% 2.01/0.73  fof(f421,plain,(
% 2.01/0.73    spl0_8|~spl0_17),
% 2.01/0.73    inference(split_clause,[status(thm)],[f420,f350,f417])).
% 2.01/0.73  fof(f439,plain,(
% 2.01/0.73    spl0_21 <=> unordered_pair(X0,X1)=x),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f440,plain,(
% 2.01/0.73    ![X0,X1]: (unordered_pair(X0,X1)=x|~spl0_21)),
% 2.01/0.73    inference(component_clause,[status(thm)],[f439])).
% 2.01/0.73  fof(f442,plain,(
% 2.01/0.73    ![X0,X1]: (unordered_pair(X0,X1)=x|~subclass(universal_class,x))),
% 2.01/0.73    inference(resolution,[status(thm)],[f382,f128])).
% 2.01/0.73  fof(f443,plain,(
% 2.01/0.73    spl0_21|~spl0_13),
% 2.01/0.73    inference(split_clause,[status(thm)],[f442,f439,f396])).
% 2.01/0.73  fof(f444,plain,(
% 2.01/0.73    spl0_22 <=> omega=x),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f445,plain,(
% 2.01/0.73    omega=x|~spl0_22),
% 2.01/0.73    inference(component_clause,[status(thm)],[f444])).
% 2.01/0.73  fof(f446,plain,(
% 2.01/0.73    ~omega=x|spl0_22),
% 2.01/0.73    inference(component_clause,[status(thm)],[f444])).
% 2.01/0.73  fof(f449,plain,(
% 2.01/0.73    ![X0,X1,X2]: (X0=x|~subclass(X1,x)|~subclass(X2,X1)|~member(X0,X2))),
% 2.01/0.73    inference(resolution,[status(thm)],[f382,f115])).
% 2.01/0.73  fof(f470,plain,(
% 2.01/0.73    $false|spl0_17),
% 2.01/0.73    inference(forward_subsumption_resolution,[status(thm)],[f419,f246])).
% 2.01/0.73  fof(f471,plain,(
% 2.01/0.73    spl0_17),
% 2.01/0.73    inference(contradiction_clause,[status(thm)],[f470])).
% 2.01/0.73  fof(f473,plain,(
% 2.01/0.73    spl0_23 <=> universal_class=x),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f474,plain,(
% 2.01/0.73    universal_class=x|~spl0_23),
% 2.01/0.73    inference(component_clause,[status(thm)],[f473])).
% 2.01/0.73  fof(f475,plain,(
% 2.01/0.73    ~universal_class=x|spl0_23),
% 2.01/0.73    inference(component_clause,[status(thm)],[f473])).
% 2.01/0.73  fof(f480,plain,(
% 2.01/0.73    spl0_24 <=> regular(x)=x),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f481,plain,(
% 2.01/0.73    regular(x)=x|~spl0_24),
% 2.01/0.73    inference(component_clause,[status(thm)],[f480])).
% 2.01/0.73  fof(f523,plain,(
% 2.01/0.73    spl0_27 <=> member(x,unordered_pair(X0,x))),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f528,plain,(
% 2.01/0.73    spl0_28 <=> member(x,unordered_pair(x,X0))),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f534,plain,(
% 2.01/0.73    ![X0]: (not_subclass_element(x,complement(X0))=x|~member(x,X0))),
% 2.01/0.73    inference(resolution,[status(thm)],[f383,f146])).
% 2.01/0.73  fof(f540,plain,(
% 2.01/0.73    ![X0,X1]: (not_subclass_element(x,X0)=x|~subclass(X0,X1)|member(x,X1))),
% 2.01/0.73    inference(resolution,[status(thm)],[f383,f115])).
% 2.01/0.73  fof(f544,plain,(
% 2.01/0.73    spl0_30 <=> member(x,x)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f555,plain,(
% 2.01/0.73    not_subclass_element(x,complement(universal_class))=x),
% 2.01/0.73    inference(resolution,[status(thm)],[f534,f254])).
% 2.01/0.73  fof(f557,plain,(
% 2.01/0.73    ![X0,X1]: (not_subclass_element(x,complement(X0))=x|~subclass(X1,X0)|~member(x,X1))),
% 2.01/0.73    inference(resolution,[status(thm)],[f534,f115])).
% 2.01/0.73  fof(f568,plain,(
% 2.01/0.73    spl0_34 <=> member(x,complement(universal_class))),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f570,plain,(
% 2.01/0.73    ~member(x,complement(universal_class))|spl0_34),
% 2.01/0.73    inference(component_clause,[status(thm)],[f568])).
% 2.01/0.73  fof(f571,plain,(
% 2.01/0.73    spl0_35 <=> subclass(x,complement(universal_class))),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f572,plain,(
% 2.01/0.73    subclass(x,complement(universal_class))|~spl0_35),
% 2.01/0.73    inference(component_clause,[status(thm)],[f571])).
% 2.01/0.73  fof(f574,plain,(
% 2.01/0.73    ~member(x,complement(universal_class))|subclass(x,complement(universal_class))),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f555,f117])).
% 2.01/0.73  fof(f575,plain,(
% 2.01/0.73    ~spl0_34|spl0_35),
% 2.01/0.73    inference(split_clause,[status(thm)],[f574,f568,f571])).
% 2.01/0.73  fof(f576,plain,(
% 2.01/0.73    member(x,x)|subclass(x,complement(universal_class))),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f555,f116])).
% 2.01/0.73  fof(f577,plain,(
% 2.01/0.73    spl0_30|spl0_35),
% 2.01/0.73    inference(split_clause,[status(thm)],[f576,f544,f571])).
% 2.01/0.73  fof(f626,plain,(
% 2.01/0.73    spl0_43 <=> ~subclass(X0,x)|~subclass(universal_class,X0)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f638,plain,(
% 2.01/0.73    ![X0,X1,X2]: (unordered_pair(X0,X1)=x|~subclass(X2,x)|~subclass(universal_class,X2))),
% 2.01/0.73    inference(resolution,[status(thm)],[f449,f128])).
% 2.01/0.73  fof(f639,plain,(
% 2.01/0.73    spl0_21|spl0_43),
% 2.01/0.73    inference(split_clause,[status(thm)],[f638,f439,f626])).
% 2.01/0.73  fof(f642,plain,(
% 2.01/0.73    ![X0,X1,X2,X3]: (X0=x|~subclass(X1,x)|~subclass(X2,X1)|~subclass(X3,X2)|~member(X0,X3))),
% 2.01/0.73    inference(resolution,[status(thm)],[f449,f115])).
% 2.01/0.73  fof(f656,plain,(
% 2.01/0.73    spl0_47 <=> not_subclass_element(x,element_relation)=x),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f657,plain,(
% 2.01/0.73    not_subclass_element(x,element_relation)=x|~spl0_47),
% 2.01/0.73    inference(component_clause,[status(thm)],[f656])).
% 2.01/0.73  fof(f664,plain,(
% 2.01/0.73    spl0_49 <=> not_subclass_element(x,X0)=x),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f665,plain,(
% 2.01/0.73    ![X0]: (not_subclass_element(x,X0)=x|~spl0_49)),
% 2.01/0.73    inference(component_clause,[status(thm)],[f664])).
% 2.01/0.73  fof(f667,plain,(
% 2.01/0.73    spl0_50 <=> member(x,universal_class)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f670,plain,(
% 2.01/0.73    ![X0]: (not_subclass_element(x,X0)=x|member(x,universal_class))),
% 2.01/0.73    inference(resolution,[status(thm)],[f540,f118])).
% 2.01/0.73  fof(f671,plain,(
% 2.01/0.73    spl0_49|spl0_50),
% 2.01/0.73    inference(split_clause,[status(thm)],[f670,f664,f667])).
% 2.01/0.73  fof(f706,plain,(
% 2.01/0.73    ![X0,X1,X2]: (not_subclass_element(x,complement(X0))=x|~subclass(X1,X0)|~subclass(X2,X1)|~member(x,X2))),
% 2.01/0.73    inference(resolution,[status(thm)],[f557,f115])).
% 2.01/0.73  fof(f740,plain,(
% 2.01/0.73    spl0_59 <=> ~subclass(X0,x)|~subclass(X1,X0)|~subclass(universal_class,X1)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f752,plain,(
% 2.01/0.73    ![X0,X1,X2,X3]: (unordered_pair(X0,X1)=x|~subclass(X2,x)|~subclass(X3,X2)|~subclass(universal_class,X3))),
% 2.01/0.73    inference(resolution,[status(thm)],[f642,f128])).
% 2.01/0.73  fof(f753,plain,(
% 2.01/0.73    spl0_21|spl0_59),
% 2.01/0.73    inference(split_clause,[status(thm)],[f752,f439,f740])).
% 2.01/0.73  fof(f758,plain,(
% 2.01/0.73    spl0_61 <=> omega=omega),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f761,plain,(
% 2.01/0.73    spl0_62 <=> omega=X0),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f762,plain,(
% 2.01/0.73    ![X0]: (omega=X0|~spl0_62)),
% 2.01/0.73    inference(component_clause,[status(thm)],[f761])).
% 2.01/0.73  fof(f764,plain,(
% 2.01/0.73    ![X0]: (omega=omega|omega=X0)),
% 2.01/0.73    inference(resolution,[status(thm)],[f296,f123])).
% 2.01/0.73  fof(f765,plain,(
% 2.01/0.73    spl0_61|spl0_62),
% 2.01/0.73    inference(split_clause,[status(thm)],[f764,f758,f761])).
% 2.01/0.73  fof(f766,plain,(
% 2.01/0.73    spl0_63 <=> ~subclass(X0,x)|~subclass(X1,X0)|~subclass(unordered_pair(omega,X2),X1)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f769,plain,(
% 2.01/0.73    ![X0,X1,X2]: (omega=x|~subclass(X0,x)|~subclass(X1,X0)|~subclass(unordered_pair(omega,X2),X1))),
% 2.01/0.73    inference(resolution,[status(thm)],[f296,f642])).
% 2.01/0.73  fof(f770,plain,(
% 2.01/0.73    spl0_22|spl0_63),
% 2.01/0.73    inference(split_clause,[status(thm)],[f769,f444,f766])).
% 2.01/0.73  fof(f771,plain,(
% 2.01/0.73    spl0_64 <=> ~subclass(X0,x)|~subclass(unordered_pair(omega,X1),X0)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f774,plain,(
% 2.01/0.73    ![X0,X1]: (omega=x|~subclass(X0,x)|~subclass(unordered_pair(omega,X1),X0))),
% 2.01/0.73    inference(resolution,[status(thm)],[f296,f449])).
% 2.01/0.73  fof(f775,plain,(
% 2.01/0.73    spl0_22|spl0_64),
% 2.01/0.73    inference(split_clause,[status(thm)],[f774,f444,f771])).
% 2.01/0.73  fof(f776,plain,(
% 2.01/0.73    spl0_65 <=> ~subclass(unordered_pair(omega,X0),x)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f779,plain,(
% 2.01/0.73    ![X0]: (omega=x|~subclass(unordered_pair(omega,X0),x))),
% 2.01/0.73    inference(resolution,[status(thm)],[f296,f382])).
% 2.01/0.73  fof(f780,plain,(
% 2.01/0.73    spl0_22|spl0_65),
% 2.01/0.73    inference(split_clause,[status(thm)],[f779,f444,f776])).
% 2.01/0.73  fof(f782,plain,(
% 2.01/0.73    member(omega,singleton(omega))),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f129,f296])).
% 2.01/0.73  fof(f783,plain,(
% 2.01/0.73    spl0_66 <=> ~subclass(X0,x)|~subclass(X1,X0)|~subclass(singleton(omega),X1)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f786,plain,(
% 2.01/0.73    ![X0,X1]: (omega=x|~subclass(X0,x)|~subclass(X1,X0)|~subclass(singleton(omega),X1))),
% 2.01/0.73    inference(resolution,[status(thm)],[f782,f642])).
% 2.01/0.73  fof(f787,plain,(
% 2.01/0.73    spl0_22|spl0_66),
% 2.01/0.73    inference(split_clause,[status(thm)],[f786,f444,f783])).
% 2.01/0.73  fof(f788,plain,(
% 2.01/0.73    spl0_67 <=> ~subclass(X0,x)|~subclass(singleton(omega),X0)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f791,plain,(
% 2.01/0.73    ![X0]: (omega=x|~subclass(X0,x)|~subclass(singleton(omega),X0))),
% 2.01/0.73    inference(resolution,[status(thm)],[f782,f449])).
% 2.01/0.73  fof(f792,plain,(
% 2.01/0.73    spl0_22|spl0_67),
% 2.01/0.73    inference(split_clause,[status(thm)],[f791,f444,f788])).
% 2.01/0.73  fof(f793,plain,(
% 2.01/0.73    spl0_68 <=> subclass(singleton(omega),x)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f796,plain,(
% 2.01/0.73    omega=x|~subclass(singleton(omega),x)),
% 2.01/0.73    inference(resolution,[status(thm)],[f782,f382])).
% 2.01/0.73  fof(f797,plain,(
% 2.01/0.73    spl0_22|~spl0_68),
% 2.01/0.73    inference(split_clause,[status(thm)],[f796,f444,f793])).
% 2.01/0.73  fof(f801,plain,(
% 2.01/0.73    spl0_69 <=> ~subclass(X0,x)|~subclass(X1,X0)|~subclass(unordered_pair(X2,omega),X1)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f804,plain,(
% 2.01/0.73    ![X0,X1,X2]: (omega=x|~subclass(X0,x)|~subclass(X1,X0)|~subclass(unordered_pair(X2,omega),X1))),
% 2.01/0.73    inference(resolution,[status(thm)],[f308,f642])).
% 2.01/0.73  fof(f805,plain,(
% 2.01/0.73    spl0_22|spl0_69),
% 2.01/0.73    inference(split_clause,[status(thm)],[f804,f444,f801])).
% 2.01/0.73  fof(f806,plain,(
% 2.01/0.73    spl0_70 <=> ~subclass(X0,x)|~subclass(unordered_pair(X1,omega),X0)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f809,plain,(
% 2.01/0.73    ![X0,X1]: (omega=x|~subclass(X0,x)|~subclass(unordered_pair(X1,omega),X0))),
% 2.01/0.73    inference(resolution,[status(thm)],[f308,f449])).
% 2.01/0.73  fof(f810,plain,(
% 2.01/0.73    spl0_22|spl0_70),
% 2.01/0.73    inference(split_clause,[status(thm)],[f809,f444,f806])).
% 2.01/0.73  fof(f811,plain,(
% 2.01/0.73    spl0_71 <=> ~subclass(unordered_pair(X0,omega),x)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f814,plain,(
% 2.01/0.73    ![X0]: (omega=x|~subclass(unordered_pair(X0,omega),x))),
% 2.01/0.73    inference(resolution,[status(thm)],[f308,f382])).
% 2.01/0.73  fof(f815,plain,(
% 2.01/0.73    spl0_22|spl0_71),
% 2.01/0.73    inference(split_clause,[status(thm)],[f814,f444,f811])).
% 2.01/0.73  fof(f881,plain,(
% 2.01/0.73    ![X0]: (unordered_pair(singleton(X0),unordered_pair(X0,x))=ordered_pair(X0,x))),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f245,f130])).
% 2.01/0.73  fof(f888,plain,(
% 2.01/0.73    ![X0,X1]: (member(ordered_pair(X0,X1),universal_class))),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f130,f128])).
% 2.01/0.73  fof(f947,plain,(
% 2.01/0.73    ~subclass(universal_class,universal_class)|~spl0_23|spl0_13),
% 2.01/0.73    inference(backward_demodulation,[status(thm)],[f474,f398])).
% 2.01/0.73  fof(f948,plain,(
% 2.01/0.73    $false|~spl0_23|spl0_13),
% 2.01/0.73    inference(forward_subsumption_resolution,[status(thm)],[f947,f118])).
% 2.01/0.73  fof(f949,plain,(
% 2.01/0.73    ~spl0_23|spl0_13),
% 2.01/0.73    inference(contradiction_clause,[status(thm)],[f948])).
% 2.01/0.73  fof(f979,plain,(
% 2.01/0.73    ![X0]: (not_subclass_element(null_class,X0)=x|~spl0_10|~spl0_49)),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f386,f665])).
% 2.01/0.73  fof(f980,plain,(
% 2.01/0.73    ![X0]: (not_subclass_element(null_class,X0)=null_class|~spl0_10|~spl0_49)),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f386,f979])).
% 2.01/0.73  fof(f982,plain,(
% 2.01/0.73    spl0_82 <=> member(null_class,null_class)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f985,plain,(
% 2.01/0.73    spl0_83 <=> subclass(null_class,X0)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f986,plain,(
% 2.01/0.73    ![X0]: (subclass(null_class,X0)|~spl0_83)),
% 2.01/0.73    inference(component_clause,[status(thm)],[f985])).
% 2.01/0.73  fof(f988,plain,(
% 2.01/0.73    ![X0]: (member(null_class,null_class)|subclass(null_class,X0)|~spl0_10|~spl0_49)),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f980,f116])).
% 2.01/0.73  fof(f989,plain,(
% 2.01/0.73    spl0_82|spl0_83|~spl0_10|~spl0_49),
% 2.01/0.73    inference(split_clause,[status(thm)],[f988,f982,f985,f385,f664])).
% 2.01/0.73  fof(f1017,plain,(
% 2.01/0.73    ~subclass(omega,omega)|~spl0_22|spl0_11),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f445,f390])).
% 2.01/0.73  fof(f1018,plain,(
% 2.01/0.73    $false|~spl0_22|spl0_11),
% 2.01/0.73    inference(forward_subsumption_resolution,[status(thm)],[f1017,f246])).
% 2.01/0.73  fof(f1019,plain,(
% 2.01/0.73    ~spl0_22|spl0_11),
% 2.01/0.73    inference(contradiction_clause,[status(thm)],[f1018])).
% 2.01/0.73  fof(f1022,plain,(
% 2.01/0.73    member(null_class,x)|~spl0_10),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f386,f360])).
% 2.01/0.73  fof(f1023,plain,(
% 2.01/0.73    member(null_class,null_class)|~spl0_10),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f386,f1022])).
% 2.01/0.73  fof(f1024,plain,(
% 2.01/0.73    ![X0]: (~subclass(null_class,X0)|member(null_class,X0)|~spl0_10)),
% 2.01/0.73    inference(resolution,[status(thm)],[f1023,f115])).
% 2.01/0.73  fof(f1025,plain,(
% 2.01/0.73    ![X0]: (member(null_class,X0)|~spl0_83|~spl0_10)),
% 2.01/0.73    inference(forward_subsumption_resolution,[status(thm)],[f1024,f986])).
% 2.01/0.73  fof(f1030,plain,(
% 2.01/0.73    ![X0]: (~member(X0,null_class)|X0=x|~spl0_10)),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f386,f380])).
% 2.01/0.73  fof(f1031,plain,(
% 2.01/0.73    ![X0]: (~member(X0,null_class)|X0=null_class|~spl0_10)),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f386,f1030])).
% 2.01/0.73  fof(f1089,plain,(
% 2.01/0.73    spl0_91 <=> null_class=null_class),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f1117,plain,(
% 2.01/0.73    ![X0,X1]: (X0=null_class|~subclass(X1,x)|~member(X0,X1)|~spl0_10)),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f386,f382])).
% 2.01/0.73  fof(f1118,plain,(
% 2.01/0.73    ![X0,X1]: (X0=null_class|~subclass(X1,null_class)|~member(X0,X1)|~spl0_10)),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f386,f1117])).
% 2.01/0.73  fof(f1134,plain,(
% 2.01/0.73    spl0_98 <=> subclass(null_class,null_class)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f1136,plain,(
% 2.01/0.73    ~subclass(null_class,null_class)|spl0_98),
% 2.01/0.73    inference(component_clause,[status(thm)],[f1134])).
% 2.01/0.73  fof(f1137,plain,(
% 2.01/0.73    null_class=null_class|~subclass(null_class,null_class)|~spl0_10),
% 2.01/0.73    inference(resolution,[status(thm)],[f1118,f1023])).
% 2.01/0.73  fof(f1138,plain,(
% 2.01/0.73    spl0_91|~spl0_98|~spl0_10),
% 2.01/0.73    inference(split_clause,[status(thm)],[f1137,f1089,f1134,f385])).
% 2.01/0.73  fof(f1206,plain,(
% 2.01/0.73    spl0_110 <=> omega=null_class),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f1207,plain,(
% 2.01/0.73    omega=null_class|~spl0_110),
% 2.01/0.73    inference(component_clause,[status(thm)],[f1206])).
% 2.01/0.73  fof(f1353,plain,(
% 2.01/0.73    spl0_124 <=> member(null_class,universal_class)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f1355,plain,(
% 2.01/0.73    ~member(null_class,universal_class)|spl0_124),
% 2.01/0.73    inference(component_clause,[status(thm)],[f1353])).
% 2.01/0.73  fof(f1404,plain,(
% 2.01/0.73    regular(x)=x|x=null_class),
% 2.01/0.73    inference(resolution,[status(thm)],[f380,f188])).
% 2.01/0.73  fof(f1405,plain,(
% 2.01/0.73    spl0_24|spl0_10),
% 2.01/0.73    inference(split_clause,[status(thm)],[f1404,f480,f385])).
% 2.01/0.73  fof(f1410,plain,(
% 2.01/0.73    unordered_pair(x,unordered_pair(x,x))=ordered_pair(x,x)),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f245,f881])).
% 2.01/0.73  fof(f1411,plain,(
% 2.01/0.73    unordered_pair(x,singleton(x))=ordered_pair(x,x)),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f129,f1410])).
% 2.01/0.73  fof(f1412,plain,(
% 2.01/0.73    unordered_pair(x,x)=ordered_pair(x,x)),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f245,f1411])).
% 2.01/0.73  fof(f1451,plain,(
% 2.01/0.73    spl0_128 <=> ordered_pair(X0,X1)=x),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f1452,plain,(
% 2.01/0.73    ![X0,X1]: (ordered_pair(X0,X1)=x|~spl0_128)),
% 2.01/0.73    inference(component_clause,[status(thm)],[f1451])).
% 2.01/0.73  fof(f1454,plain,(
% 2.01/0.73    ![X0,X1]: (ordered_pair(X0,X1)=x|~subclass(universal_class,x))),
% 2.01/0.73    inference(resolution,[status(thm)],[f382,f888])).
% 2.01/0.73  fof(f1455,plain,(
% 2.01/0.73    spl0_128|~spl0_13),
% 2.01/0.73    inference(split_clause,[status(thm)],[f1454,f1451,f396])).
% 2.01/0.73  fof(f1466,plain,(
% 2.01/0.73    $false|spl0_98),
% 2.01/0.73    inference(forward_subsumption_resolution,[status(thm)],[f1136,f246])).
% 2.01/0.73  fof(f1467,plain,(
% 2.01/0.73    spl0_98),
% 2.01/0.73    inference(contradiction_clause,[status(thm)],[f1466])).
% 2.01/0.73  fof(f1475,plain,(
% 2.01/0.73    spl0_130 <=> member(unordered_pair(x,x),element_relation)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f1476,plain,(
% 2.01/0.73    member(unordered_pair(x,x),element_relation)|~spl0_130),
% 2.01/0.73    inference(component_clause,[status(thm)],[f1475])).
% 2.01/0.73  fof(f1477,plain,(
% 2.01/0.73    ~member(unordered_pair(x,x),element_relation)|spl0_130),
% 2.01/0.73    inference(component_clause,[status(thm)],[f1475])).
% 2.01/0.73  fof(f1488,plain,(
% 2.01/0.73    ~member(singleton(x),element_relation)|spl0_130),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f129,f1477])).
% 2.01/0.73  fof(f1489,plain,(
% 2.01/0.73    ~member(x,element_relation)|spl0_130),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f245,f1488])).
% 2.01/0.73  fof(f1515,plain,(
% 2.01/0.73    member(null_class,universal_class)),
% 2.01/0.73    inference(resolution,[status(thm)],[f377,f118])).
% 2.01/0.73  fof(f1532,plain,(
% 2.01/0.73    spl0_131 <=> member(unordered_pair(x,x),cross_product(universal_class,universal_class))),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f1534,plain,(
% 2.01/0.73    ~member(unordered_pair(x,x),cross_product(universal_class,universal_class))|spl0_131),
% 2.01/0.73    inference(component_clause,[status(thm)],[f1532])).
% 2.01/0.73  fof(f1535,plain,(
% 2.01/0.73    spl0_132 <=> member(ordered_pair(x,x),element_relation)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f1536,plain,(
% 2.01/0.73    member(ordered_pair(x,x),element_relation)|~spl0_132),
% 2.01/0.73    inference(component_clause,[status(thm)],[f1535])).
% 2.01/0.73  fof(f1538,plain,(
% 2.01/0.73    ~member(unordered_pair(x,x),cross_product(universal_class,universal_class))|~member(x,x)|member(ordered_pair(x,x),element_relation)),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f1412,f140])).
% 2.01/0.73  fof(f1539,plain,(
% 2.01/0.73    ~spl0_131|~spl0_30|spl0_132),
% 2.01/0.73    inference(split_clause,[status(thm)],[f1538,f1532,f544,f1535])).
% 2.01/0.73  fof(f1540,plain,(
% 2.01/0.73    ~member(singleton(x),cross_product(universal_class,universal_class))|spl0_131),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f129,f1534])).
% 2.01/0.73  fof(f1541,plain,(
% 2.01/0.73    ~member(x,cross_product(universal_class,universal_class))|spl0_131),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f245,f1540])).
% 2.01/0.73  fof(f1544,plain,(
% 2.01/0.73    member(unordered_pair(x,x),element_relation)|~spl0_132),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f1412,f1536])).
% 2.01/0.73  fof(f1545,plain,(
% 2.01/0.73    member(singleton(x),element_relation)|~spl0_132),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f129,f1544])).
% 2.01/0.73  fof(f1546,plain,(
% 2.01/0.73    member(x,element_relation)|~spl0_132),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f245,f1545])).
% 2.01/0.73  fof(f1553,plain,(
% 2.01/0.73    ![X0]: (~member(x,X0)|member(x,intersection(x,X0)))),
% 2.01/0.73    inference(resolution,[status(thm)],[f145,f360])).
% 2.01/0.73  fof(f1564,plain,(
% 2.01/0.73    ![X0]: (member(null_class,complement(X0))|member(null_class,X0))),
% 2.01/0.73    inference(resolution,[status(thm)],[f147,f1515])).
% 2.01/0.73  fof(f1565,plain,(
% 2.01/0.73    ![X0]: (member(omega,complement(X0))|member(omega,X0))),
% 2.01/0.73    inference(resolution,[status(thm)],[f147,f174])).
% 2.01/0.73  fof(f1592,plain,(
% 2.01/0.73    $false|spl0_130|~spl0_132),
% 2.01/0.73    inference(forward_subsumption_resolution,[status(thm)],[f1546,f1489])).
% 2.01/0.73  fof(f1593,plain,(
% 2.01/0.73    spl0_130|~spl0_132),
% 2.01/0.73    inference(contradiction_clause,[status(thm)],[f1592])).
% 2.01/0.73  fof(f1594,plain,(
% 2.01/0.73    member(singleton(x),element_relation)|~spl0_130),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f129,f1476])).
% 2.01/0.73  fof(f1595,plain,(
% 2.01/0.73    member(x,element_relation)|~spl0_130),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f245,f1594])).
% 2.01/0.73  fof(f1606,plain,(
% 2.01/0.73    ![X0]: (~subclass(X0,cross_product(universal_class,universal_class))|~member(x,X0)|spl0_131)),
% 2.01/0.73    inference(resolution,[status(thm)],[f1541,f115])).
% 2.01/0.73  fof(f1608,plain,(
% 2.01/0.73    spl0_136 <=> member(x,element_relation)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f1610,plain,(
% 2.01/0.73    ~member(x,element_relation)|spl0_136),
% 2.01/0.73    inference(component_clause,[status(thm)],[f1608])).
% 2.01/0.73  fof(f1611,plain,(
% 2.01/0.73    spl0_137 <=> subclass(x,element_relation)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f1612,plain,(
% 2.01/0.73    subclass(x,element_relation)|~spl0_137),
% 2.01/0.73    inference(component_clause,[status(thm)],[f1611])).
% 2.01/0.73  fof(f1613,plain,(
% 2.01/0.73    ~subclass(x,element_relation)|spl0_137),
% 2.01/0.73    inference(component_clause,[status(thm)],[f1611])).
% 2.01/0.73  fof(f1614,plain,(
% 2.01/0.73    ~member(x,element_relation)|subclass(x,element_relation)|~spl0_47),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f657,f117])).
% 2.01/0.73  fof(f1615,plain,(
% 2.01/0.73    ~spl0_136|spl0_137|~spl0_47),
% 2.01/0.73    inference(split_clause,[status(thm)],[f1614,f1608,f1611,f656])).
% 2.01/0.73  fof(f1616,plain,(
% 2.01/0.73    member(x,x)|subclass(x,element_relation)|~spl0_47),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f657,f116])).
% 2.01/0.73  fof(f1617,plain,(
% 2.01/0.73    spl0_30|spl0_137|~spl0_47),
% 2.01/0.73    inference(split_clause,[status(thm)],[f1616,f544,f1611,f656])).
% 2.01/0.73  fof(f1618,plain,(
% 2.01/0.73    $false|~spl0_130|spl0_136),
% 2.01/0.73    inference(forward_subsumption_resolution,[status(thm)],[f1610,f1595])).
% 2.01/0.73  fof(f1619,plain,(
% 2.01/0.73    ~spl0_130|spl0_136),
% 2.01/0.73    inference(contradiction_clause,[status(thm)],[f1618])).
% 2.01/0.73  fof(f1635,plain,(
% 2.01/0.73    spl0_139 <=> member(x,successor_relation)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f1638,plain,(
% 2.01/0.73    spl0_140 <=> subclass(x,successor_relation)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f1639,plain,(
% 2.01/0.73    subclass(x,successor_relation)|~spl0_140),
% 2.01/0.73    inference(component_clause,[status(thm)],[f1638])).
% 2.01/0.73  fof(f1640,plain,(
% 2.01/0.73    ~subclass(x,successor_relation)|spl0_140),
% 2.01/0.73    inference(component_clause,[status(thm)],[f1638])).
% 2.01/0.73  fof(f1775,plain,(
% 2.01/0.73    subclass(image(successor_relation,omega),omega)),
% 2.01/0.73    inference(resolution,[status(thm)],[f170,f172])).
% 2.01/0.73  fof(f1784,plain,(
% 2.01/0.73    spl0_150 <=> intersection(x,x)=null_class),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f1785,plain,(
% 2.01/0.73    intersection(x,x)=null_class|~spl0_150),
% 2.01/0.73    inference(component_clause,[status(thm)],[f1784])).
% 2.01/0.73  fof(f1787,plain,(
% 2.01/0.73    x=null_class|intersection(x,x)=null_class|~spl0_24),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f481,f189])).
% 2.01/0.73  fof(f1788,plain,(
% 2.01/0.73    spl0_10|spl0_150|~spl0_24),
% 2.01/0.73    inference(split_clause,[status(thm)],[f1787,f385,f1784,f480])).
% 2.01/0.73  fof(f1790,plain,(
% 2.01/0.73    ![X0,X1]: (~member(X0,null_class)|member(X0,X1)|X1=null_class)),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f189,f142])).
% 2.01/0.73  fof(f1800,plain,(
% 2.01/0.73    ![X0]: (member(singleton(X0),ordered_pair(X0,x)))),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f881,f294])).
% 2.01/0.73  fof(f1801,plain,(
% 2.01/0.73    ![X0]: (member(singleton(X0),singleton(singleton(X0))))),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f129,f294])).
% 2.01/0.73  fof(f1805,plain,(
% 2.01/0.73    ![X0]: (singleton(X0)=x|~subclass(ordered_pair(X0,x),x))),
% 2.01/0.73    inference(resolution,[status(thm)],[f1800,f382])).
% 2.01/0.73  fof(f1906,plain,(
% 2.01/0.73    spl0_154 <=> not_subclass_element(x,null_class)=x),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f1907,plain,(
% 2.01/0.73    not_subclass_element(x,null_class)=x|~spl0_154),
% 2.01/0.73    inference(component_clause,[status(thm)],[f1906])).
% 2.01/0.73  fof(f1950,plain,(
% 2.01/0.73    member(x,intersection(x,x))),
% 2.01/0.73    inference(resolution,[status(thm)],[f1553,f360])).
% 2.01/0.73  fof(f1951,plain,(
% 2.01/0.73    member(x,null_class)|~spl0_150),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f1785,f1950])).
% 2.01/0.73  fof(f2006,plain,(
% 2.01/0.73    spl0_159 <=> singleton(x)=x),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f2009,plain,(
% 2.01/0.73    spl0_160 <=> subclass(unordered_pair(x,x),x)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f2011,plain,(
% 2.01/0.73    ~subclass(unordered_pair(x,x),x)|spl0_160),
% 2.01/0.73    inference(component_clause,[status(thm)],[f2009])).
% 2.01/0.73  fof(f2012,plain,(
% 2.01/0.73    singleton(x)=x|~subclass(unordered_pair(x,x),x)),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f1412,f1805])).
% 2.01/0.73  fof(f2013,plain,(
% 2.01/0.73    spl0_159|~spl0_160),
% 2.01/0.73    inference(split_clause,[status(thm)],[f2012,f2006,f2009])).
% 2.01/0.73  fof(f2014,plain,(
% 2.01/0.73    ~subclass(singleton(x),x)|spl0_160),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f129,f2011])).
% 2.01/0.73  fof(f2015,plain,(
% 2.01/0.73    ~subclass(x,x)|spl0_160),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f245,f2014])).
% 2.01/0.73  fof(f2016,plain,(
% 2.01/0.73    $false|spl0_160),
% 2.01/0.73    inference(forward_subsumption_resolution,[status(thm)],[f2015,f246])).
% 2.01/0.73  fof(f2017,plain,(
% 2.01/0.73    spl0_160),
% 2.01/0.73    inference(contradiction_clause,[status(thm)],[f2016])).
% 2.01/0.73  fof(f2080,plain,(
% 2.01/0.73    ![X0]: (member(null_class,unordered_pair(null_class,X0)))),
% 2.01/0.73    inference(resolution,[status(thm)],[f298,f262])).
% 2.01/0.73  fof(f2095,plain,(
% 2.01/0.73    ![X0,X1]: (member(x,unordered_pair(x,X0))|not_subclass_element(x,X1)=x)),
% 2.01/0.73    inference(resolution,[status(thm)],[f298,f383])).
% 2.01/0.73  fof(f2096,plain,(
% 2.01/0.73    spl0_28|spl0_49),
% 2.01/0.73    inference(split_clause,[status(thm)],[f2095,f528,f664])).
% 2.01/0.73  fof(f2107,plain,(
% 2.01/0.73    spl0_161 <=> ~subclass(unordered_pair(null_class,X0),x)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f2108,plain,(
% 2.01/0.73    ![X0]: (~subclass(unordered_pair(null_class,X0),x)|~spl0_161)),
% 2.01/0.73    inference(component_clause,[status(thm)],[f2107])).
% 2.01/0.73  fof(f2110,plain,(
% 2.01/0.73    ![X0]: (null_class=x|~subclass(unordered_pair(null_class,X0),x))),
% 2.01/0.73    inference(resolution,[status(thm)],[f2080,f382])).
% 2.01/0.73  fof(f2111,plain,(
% 2.01/0.73    spl0_10|spl0_161),
% 2.01/0.73    inference(split_clause,[status(thm)],[f2110,f385,f2107])).
% 2.01/0.73  fof(f2117,plain,(
% 2.01/0.73    spl0_162 <=> subclass(singleton(null_class),x)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f2119,plain,(
% 2.01/0.73    ~subclass(singleton(null_class),x)|spl0_162),
% 2.01/0.73    inference(component_clause,[status(thm)],[f2117])).
% 2.01/0.73  fof(f2170,plain,(
% 2.01/0.73    not_subclass_element(x,complement(null_class))=x|~spl0_150),
% 2.01/0.73    inference(resolution,[status(thm)],[f1951,f534])).
% 2.01/0.73  fof(f2174,plain,(
% 2.01/0.73    spl0_165 <=> subclass(null_class,x)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f2176,plain,(
% 2.01/0.73    ~subclass(null_class,x)|spl0_165),
% 2.01/0.73    inference(component_clause,[status(thm)],[f2174])).
% 2.01/0.73  fof(f2197,plain,(
% 2.01/0.73    spl0_166 <=> member(x,X0)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f2198,plain,(
% 2.01/0.73    ![X0]: (member(x,X0)|~spl0_166)),
% 2.01/0.73    inference(component_clause,[status(thm)],[f2197])).
% 2.01/0.73  fof(f2218,plain,(
% 2.01/0.73    spl0_169 <=> ~subclass(universal_class,X0)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f2219,plain,(
% 2.01/0.73    ![X0]: (~subclass(universal_class,X0)|~spl0_169)),
% 2.01/0.73    inference(component_clause,[status(thm)],[f2218])).
% 2.01/0.73  fof(f2443,plain,(
% 2.01/0.73    spl0_184 <=> ~subclass(X0,x)|~subclass(null_class,X0)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f2444,plain,(
% 2.01/0.73    ![X0]: (~subclass(X0,x)|~subclass(null_class,X0)|~spl0_184)),
% 2.01/0.73    inference(component_clause,[status(thm)],[f2443])).
% 2.01/0.73  fof(f2522,plain,(
% 2.01/0.73    ![X0,X1]: (member(x,unordered_pair(X0,x))|not_subclass_element(x,X1)=x)),
% 2.01/0.73    inference(resolution,[status(thm)],[f310,f383])).
% 2.01/0.73  fof(f2523,plain,(
% 2.01/0.73    spl0_27|spl0_49),
% 2.01/0.73    inference(split_clause,[status(thm)],[f2522,f523,f664])).
% 2.01/0.73  fof(f2597,plain,(
% 2.01/0.73    spl0_194 <=> subclass(singleton(x),successor_relation)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f2598,plain,(
% 2.01/0.73    subclass(singleton(x),successor_relation)|~spl0_194),
% 2.01/0.73    inference(component_clause,[status(thm)],[f2597])).
% 2.01/0.73  fof(f2599,plain,(
% 2.01/0.73    ~subclass(singleton(x),successor_relation)|spl0_194),
% 2.01/0.73    inference(component_clause,[status(thm)],[f2597])).
% 2.01/0.73  fof(f2607,plain,(
% 2.01/0.73    spl0_196 <=> subclass(singleton(x),element_relation)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f2608,plain,(
% 2.01/0.73    subclass(singleton(x),element_relation)|~spl0_196),
% 2.01/0.73    inference(component_clause,[status(thm)],[f2607])).
% 2.01/0.73  fof(f2609,plain,(
% 2.01/0.73    ~subclass(singleton(x),element_relation)|spl0_196),
% 2.01/0.73    inference(component_clause,[status(thm)],[f2607])).
% 2.01/0.73  fof(f2621,plain,(
% 2.01/0.73    ~subclass(x,successor_relation)|spl0_194),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f245,f2599])).
% 2.01/0.73  fof(f2623,plain,(
% 2.01/0.73    ~member(x,successor_relation)|spl0_131),
% 2.01/0.73    inference(resolution,[status(thm)],[f1606,f166])).
% 2.01/0.73  fof(f2676,plain,(
% 2.01/0.73    ~subclass(x,x)|~spl0_21|~spl0_161),
% 2.01/0.73    inference(backward_demodulation,[status(thm)],[f440,f2108])).
% 2.01/0.73  fof(f2677,plain,(
% 2.01/0.73    ~spl0_17|~spl0_21|~spl0_161),
% 2.01/0.73    inference(split_clause,[status(thm)],[f2676,f417,f439,f2107])).
% 2.01/0.73  fof(f2719,plain,(
% 2.01/0.73    spl0_198 <=> member(X0,X1)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f2720,plain,(
% 2.01/0.73    ![X0,X1]: (member(X0,X1)|~spl0_198)),
% 2.01/0.73    inference(component_clause,[status(thm)],[f2719])).
% 2.01/0.73  fof(f2722,plain,(
% 2.01/0.73    ![X0,X1]: (~member(x,element_relation)|member(X0,X1)|~spl0_128)),
% 2.01/0.73    inference(backward_demodulation,[status(thm)],[f1452,f139])).
% 2.01/0.73  fof(f2723,plain,(
% 2.01/0.73    ~spl0_136|spl0_198|~spl0_128),
% 2.01/0.73    inference(split_clause,[status(thm)],[f2722,f1608,f2719,f1451])).
% 2.01/0.73  fof(f2733,plain,(
% 2.01/0.73    spl0_199 <=> member(x,null_class)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f2735,plain,(
% 2.01/0.73    ~member(x,null_class)|spl0_199),
% 2.01/0.73    inference(component_clause,[status(thm)],[f2733])).
% 2.01/0.73  fof(f2755,plain,(
% 2.01/0.73    ~subclass(x,element_relation)|spl0_196),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f245,f2609])).
% 2.01/0.73  fof(f2757,plain,(
% 2.01/0.73    $false|spl0_194|~spl0_140),
% 2.01/0.73    inference(forward_subsumption_resolution,[status(thm)],[f1639,f2621])).
% 2.01/0.73  fof(f2758,plain,(
% 2.01/0.73    spl0_194|~spl0_140),
% 2.01/0.73    inference(contradiction_clause,[status(thm)],[f2757])).
% 2.01/0.73  fof(f2779,plain,(
% 2.01/0.73    not_subclass_element(x,element_relation)=x|spl0_196),
% 2.01/0.73    inference(resolution,[status(thm)],[f2755,f381])).
% 2.01/0.73  fof(f2780,plain,(
% 2.01/0.73    spl0_47|spl0_196),
% 2.01/0.73    inference(split_clause,[status(thm)],[f2779,f656,f2607])).
% 2.01/0.73  fof(f2817,plain,(
% 2.01/0.73    spl0_205 <=> successor_relation=x),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f2818,plain,(
% 2.01/0.73    successor_relation=x|~spl0_205),
% 2.01/0.73    inference(component_clause,[status(thm)],[f2817])).
% 2.01/0.73  fof(f2819,plain,(
% 2.01/0.73    ~successor_relation=x|spl0_205),
% 2.01/0.73    inference(component_clause,[status(thm)],[f2817])).
% 2.01/0.73  fof(f3113,plain,(
% 2.01/0.73    spl0_214 <=> subclass(x,null_class)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f3114,plain,(
% 2.01/0.73    subclass(x,null_class)|~spl0_214),
% 2.01/0.73    inference(component_clause,[status(thm)],[f3113])).
% 2.01/0.73  fof(f3115,plain,(
% 2.01/0.73    ~subclass(x,null_class)|spl0_214),
% 2.01/0.73    inference(component_clause,[status(thm)],[f3113])).
% 2.01/0.73  fof(f3116,plain,(
% 2.01/0.73    ~member(x,null_class)|subclass(x,null_class)|~spl0_154),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f1907,f117])).
% 2.01/0.73  fof(f3117,plain,(
% 2.01/0.73    ~spl0_199|spl0_214|~spl0_154),
% 2.01/0.73    inference(split_clause,[status(thm)],[f3116,f2733,f3113,f1906])).
% 2.01/0.73  fof(f3120,plain,(
% 2.01/0.73    $false|~spl0_150|spl0_199),
% 2.01/0.73    inference(forward_subsumption_resolution,[status(thm)],[f2735,f1951])).
% 2.01/0.73  fof(f3121,plain,(
% 2.01/0.73    ~spl0_150|spl0_199),
% 2.01/0.73    inference(contradiction_clause,[status(thm)],[f3120])).
% 2.01/0.73  fof(f3502,plain,(
% 2.01/0.73    spl0_228 <=> member(sum_class(x),universal_class)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f3509,plain,(
% 2.01/0.73    ![X0,X1]: (member(sum_class(X0),universal_class)|~subclass(X1,universal_class)|~member(X0,X1))),
% 2.01/0.73    inference(resolution,[status(thm)],[f176,f115])).
% 2.01/0.73  fof(f3510,plain,(
% 2.01/0.73    ![X0,X1]: (member(sum_class(X0),universal_class)|~member(X0,X1))),
% 2.01/0.73    inference(forward_subsumption_resolution,[status(thm)],[f3509,f118])).
% 2.01/0.73  fof(f3519,plain,(
% 2.01/0.73    member(x,null_class)|~spl0_214),
% 2.01/0.73    inference(resolution,[status(thm)],[f3114,f361])).
% 2.01/0.73  fof(f3557,plain,(
% 2.01/0.73    $false|~spl0_166|spl0_34),
% 2.01/0.73    inference(backward_subsumption_resolution,[status(thm)],[f570,f2198])).
% 2.01/0.73  fof(f3558,plain,(
% 2.01/0.73    ~spl0_166|spl0_34),
% 2.01/0.73    inference(contradiction_clause,[status(thm)],[f3557])).
% 2.01/0.73  fof(f3606,plain,(
% 2.01/0.73    subclass(x,successor_relation)|~spl0_194),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f245,f2598])).
% 2.01/0.73  fof(f3614,plain,(
% 2.01/0.73    ![X0]: (~subclass(null_class,X0)|member(x,X0)|~spl0_214)),
% 2.01/0.73    inference(resolution,[status(thm)],[f3519,f115])).
% 2.01/0.73  fof(f3818,plain,(
% 2.01/0.73    spl0_242 <=> member(null_class,omega)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f3820,plain,(
% 2.01/0.73    ~member(null_class,omega)|spl0_242),
% 2.01/0.73    inference(component_clause,[status(thm)],[f3818])).
% 2.01/0.73  fof(f3821,plain,(
% 2.01/0.73    spl0_243 <=> inductive(omega)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f3824,plain,(
% 2.01/0.73    ~member(null_class,omega)|inductive(omega)),
% 2.01/0.73    inference(resolution,[status(thm)],[f171,f1775])).
% 2.01/0.73  fof(f3825,plain,(
% 2.01/0.73    ~spl0_242|spl0_243),
% 2.01/0.73    inference(split_clause,[status(thm)],[f3824,f3818,f3821])).
% 2.01/0.73  fof(f3826,plain,(
% 2.01/0.73    spl0_244 <=> inductive(universal_class)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f3829,plain,(
% 2.01/0.73    ~member(null_class,universal_class)|inductive(universal_class)),
% 2.01/0.73    inference(resolution,[status(thm)],[f171,f118])).
% 2.01/0.73  fof(f3830,plain,(
% 2.01/0.73    ~spl0_124|spl0_244),
% 2.01/0.73    inference(split_clause,[status(thm)],[f3829,f1353,f3826])).
% 2.01/0.73  fof(f3831,plain,(
% 2.01/0.73    $false|spl0_242),
% 2.01/0.73    inference(forward_subsumption_resolution,[status(thm)],[f3820,f262])).
% 2.01/0.73  fof(f3832,plain,(
% 2.01/0.73    spl0_242),
% 2.01/0.73    inference(contradiction_clause,[status(thm)],[f3831])).
% 2.01/0.73  fof(f3857,plain,(
% 2.01/0.73    ![X0,X1]: (member(power_class(X0),universal_class)|~subclass(X1,universal_class)|~member(X0,X1))),
% 2.01/0.73    inference(resolution,[status(thm)],[f178,f115])).
% 2.01/0.73  fof(f3858,plain,(
% 2.01/0.73    ![X0,X1]: (member(power_class(X0),universal_class)|~member(X0,X1))),
% 2.01/0.73    inference(forward_subsumption_resolution,[status(thm)],[f3857,f118])).
% 2.01/0.73  fof(f3882,plain,(
% 2.01/0.73    ~null_class=x|~spl0_110|spl0_22),
% 2.01/0.73    inference(backward_demodulation,[status(thm)],[f1207,f446])).
% 2.01/0.73  fof(f3883,plain,(
% 2.01/0.73    ~spl0_10|~spl0_110|spl0_22),
% 2.01/0.73    inference(split_clause,[status(thm)],[f3882,f385,f1206,f444])).
% 2.01/0.73  fof(f3885,plain,(
% 2.01/0.73    ~member(x,element_relation)|spl0_131),
% 2.01/0.73    inference(resolution,[status(thm)],[f1606,f138])).
% 2.01/0.73  fof(f4126,plain,(
% 2.01/0.73    ![X0,X1,X2]: (~member(X0,image(X1,image(X2,x)))|~member(ordered_pair(x,X0),cross_product(universal_class,universal_class))|member(ordered_pair(x,X0),compose(X1,X2)))),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f245,f181])).
% 2.01/0.73  fof(f4134,plain,(
% 2.01/0.73    member(x,complement(universal_class))|~spl0_35),
% 2.01/0.73    inference(resolution,[status(thm)],[f572,f361])).
% 2.01/0.73  fof(f4175,plain,(
% 2.01/0.73    ~member(x,universal_class)|~spl0_35),
% 2.01/0.73    inference(resolution,[status(thm)],[f4134,f146])).
% 2.01/0.73  fof(f4206,plain,(
% 2.01/0.73    ![X0,X1,X2,X3]: (~member(X0,image(X1,image(X2,x)))|~member(ordered_pair(x,X0),cross_product(universal_class,universal_class))|~subclass(compose(X1,X2),X3)|member(ordered_pair(x,X0),X3))),
% 2.01/0.73    inference(resolution,[status(thm)],[f4126,f115])).
% 2.01/0.73  fof(f4207,plain,(
% 2.01/0.73    spl0_258 <=> ~member(x,image(X0,image(X1,x)))|member(ordered_pair(x,x),compose(X0,X1))),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f4210,plain,(
% 2.01/0.73    ![X0,X1]: (~member(x,image(X0,image(X1,x)))|~member(unordered_pair(x,x),cross_product(universal_class,universal_class))|member(ordered_pair(x,x),compose(X0,X1)))),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f1412,f4126])).
% 2.01/0.73  fof(f4211,plain,(
% 2.01/0.73    spl0_258|~spl0_131),
% 2.01/0.73    inference(split_clause,[status(thm)],[f4210,f4207,f1532])).
% 2.01/0.73  fof(f4677,plain,(
% 2.01/0.73    spl0_284 <=> member(power_class(x),universal_class)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f4696,plain,(
% 2.01/0.73    ![X0]: (not_subclass_element(x,X0)=x|member(sum_class(x),universal_class))),
% 2.01/0.73    inference(resolution,[status(thm)],[f383,f3510])).
% 2.01/0.73  fof(f4697,plain,(
% 2.01/0.73    spl0_49|spl0_228),
% 2.01/0.73    inference(split_clause,[status(thm)],[f4696,f664,f3502])).
% 2.01/0.73  fof(f4713,plain,(
% 2.01/0.73    member(x,successor_relation)|~spl0_194),
% 2.01/0.73    inference(resolution,[status(thm)],[f361,f3606])).
% 2.01/0.73  fof(f4714,plain,(
% 2.01/0.73    spl0_139|~spl0_194),
% 2.01/0.73    inference(split_clause,[status(thm)],[f4713,f1635,f2597])).
% 2.01/0.73  fof(f4748,plain,(
% 2.01/0.73    spl0_285 <=> ~member(x,image(X0,image(X1,x)))|~subclass(compose(X0,X1),X2)|member(ordered_pair(x,x),X2)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f4751,plain,(
% 2.01/0.73    ![X0,X1,X2]: (~member(x,image(X0,image(X1,x)))|~member(unordered_pair(x,x),cross_product(universal_class,universal_class))|~subclass(compose(X0,X1),X2)|member(ordered_pair(x,x),X2))),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f1412,f4206])).
% 2.01/0.73  fof(f4752,plain,(
% 2.01/0.73    spl0_285|~spl0_131),
% 2.01/0.73    inference(split_clause,[status(thm)],[f4751,f4748,f1532])).
% 2.01/0.73  fof(f4831,plain,(
% 2.01/0.73    ![X0]: (member(power_class(x),universal_class)|not_subclass_element(x,X0)=x)),
% 2.01/0.73    inference(resolution,[status(thm)],[f3858,f383])).
% 2.01/0.73  fof(f4832,plain,(
% 2.01/0.73    spl0_284|spl0_49),
% 2.01/0.73    inference(split_clause,[status(thm)],[f4831,f4677,f664])).
% 2.01/0.73  fof(f5061,plain,(
% 2.01/0.73    singleton(x)=null_class|~spl0_10),
% 2.01/0.73    inference(backward_demodulation,[status(thm)],[f386,f245])).
% 2.01/0.73  fof(f5062,plain,(
% 2.01/0.73    singleton(null_class)=null_class|~spl0_10),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f386,f5061])).
% 2.01/0.73  fof(f5081,plain,(
% 2.01/0.73    ~subclass(singleton(null_class),null_class)|~spl0_10|spl0_162),
% 2.01/0.73    inference(backward_demodulation,[status(thm)],[f386,f2119])).
% 2.01/0.73  fof(f5082,plain,(
% 2.01/0.73    ~subclass(null_class,null_class)|~spl0_10|spl0_165),
% 2.01/0.73    inference(backward_demodulation,[status(thm)],[f386,f2176])).
% 2.01/0.73  fof(f5083,plain,(
% 2.01/0.73    ~spl0_98|~spl0_10|spl0_165),
% 2.01/0.73    inference(split_clause,[status(thm)],[f5082,f1134,f385,f2174])).
% 2.01/0.73  fof(f5100,plain,(
% 2.01/0.73    ~subclass(null_class,x)|~spl0_184),
% 2.01/0.73    inference(resolution,[status(thm)],[f2444,f246])).
% 2.01/0.73  fof(f5101,plain,(
% 2.01/0.73    ~spl0_165|~spl0_184),
% 2.01/0.73    inference(split_clause,[status(thm)],[f5100,f2174,f2443])).
% 2.01/0.73  fof(f5150,plain,(
% 2.01/0.73    spl0_294 <=> singleton(null_class)=null_class),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f5203,plain,(
% 2.01/0.73    member(x,universal_class)|~spl0_214),
% 2.01/0.73    inference(resolution,[status(thm)],[f3614,f118])).
% 2.01/0.73  fof(f5204,plain,(
% 2.01/0.73    spl0_50|~spl0_214),
% 2.01/0.73    inference(split_clause,[status(thm)],[f5203,f667,f3113])).
% 2.01/0.73  fof(f5207,plain,(
% 2.01/0.73    $false|spl0_124),
% 2.01/0.73    inference(forward_subsumption_resolution,[status(thm)],[f1355,f1515])).
% 2.01/0.73  fof(f5208,plain,(
% 2.01/0.73    spl0_124),
% 2.01/0.73    inference(contradiction_clause,[status(thm)],[f5207])).
% 2.01/0.73  fof(f6150,plain,(
% 2.01/0.73    spl0_314 <=> member(x,complement(null_class))),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f6152,plain,(
% 2.01/0.73    ~member(x,complement(null_class))|spl0_314),
% 2.01/0.73    inference(component_clause,[status(thm)],[f6150])).
% 2.01/0.73  fof(f6153,plain,(
% 2.01/0.73    spl0_315 <=> subclass(x,complement(null_class))),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f6154,plain,(
% 2.01/0.73    subclass(x,complement(null_class))|~spl0_315),
% 2.01/0.73    inference(component_clause,[status(thm)],[f6153])).
% 2.01/0.73  fof(f6156,plain,(
% 2.01/0.73    ~member(x,complement(null_class))|subclass(x,complement(null_class))|~spl0_150),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f2170,f117])).
% 2.01/0.73  fof(f6157,plain,(
% 2.01/0.73    ~spl0_314|spl0_315|~spl0_150),
% 2.01/0.73    inference(split_clause,[status(thm)],[f6156,f6150,f6153,f1784])).
% 2.01/0.73  fof(f6199,plain,(
% 2.01/0.73    spl0_323 <=> member(power_class(x),X0)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f6200,plain,(
% 2.01/0.73    ![X0]: (member(power_class(x),X0)|~spl0_323)),
% 2.01/0.73    inference(component_clause,[status(thm)],[f6199])).
% 2.01/0.73  fof(f6245,plain,(
% 2.01/0.73    ![X0]: (~member(power_class(x),X0)|~spl0_323)),
% 2.01/0.73    inference(resolution,[status(thm)],[f6200,f146])).
% 2.01/0.73  fof(f6246,plain,(
% 2.01/0.73    $false|~spl0_323),
% 2.01/0.73    inference(forward_subsumption_resolution,[status(thm)],[f6245,f6200])).
% 2.01/0.73  fof(f6247,plain,(
% 2.01/0.73    ~spl0_323),
% 2.01/0.73    inference(contradiction_clause,[status(thm)],[f6246])).
% 2.01/0.73  fof(f6362,plain,(
% 2.01/0.73    spl0_331 <=> ~compose(X0,x)=x|member(ordered_pair(x,x),compose_class(X0))),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f6365,plain,(
% 2.01/0.73    ![X0]: (~member(unordered_pair(x,x),cross_product(universal_class,universal_class))|~compose(X0,x)=x|member(ordered_pair(x,x),compose_class(X0)))),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f1412,f221])).
% 2.01/0.73  fof(f6366,plain,(
% 2.01/0.73    ~spl0_131|spl0_331),
% 2.01/0.73    inference(split_clause,[status(thm)],[f6365,f1532,f6362])).
% 2.01/0.73  fof(f6425,plain,(
% 2.01/0.73    spl0_332 <=> member(ordered_pair(x,ordered_pair(x,compose(x,x))),composition_function)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f6428,plain,(
% 2.01/0.73    ~member(unordered_pair(x,x),cross_product(universal_class,universal_class))|member(ordered_pair(x,ordered_pair(x,compose(x,x))),composition_function)),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f1412,f224])).
% 2.01/0.73  fof(f6429,plain,(
% 2.01/0.73    ~spl0_131|spl0_332),
% 2.01/0.73    inference(split_clause,[status(thm)],[f6428,f1532,f6425])).
% 2.01/0.73  fof(f6513,plain,(
% 2.01/0.73    member(x,complement(null_class))|~spl0_315),
% 2.01/0.73    inference(resolution,[status(thm)],[f6154,f361])).
% 2.01/0.73  fof(f6522,plain,(
% 2.01/0.73    ~member(x,null_class)|~spl0_315),
% 2.01/0.73    inference(resolution,[status(thm)],[f6513,f146])).
% 2.01/0.73  fof(f6523,plain,(
% 2.01/0.73    ~spl0_199|~spl0_315),
% 2.01/0.73    inference(split_clause,[status(thm)],[f6522,f2733,f6153])).
% 2.01/0.73  fof(f6530,plain,(
% 2.01/0.73    spl0_338 <=> member(regular(universal_class),X0)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f6531,plain,(
% 2.01/0.73    ![X0]: (member(regular(universal_class),X0)|~spl0_338)),
% 2.01/0.73    inference(component_clause,[status(thm)],[f6530])).
% 2.01/0.73  fof(f6756,plain,(
% 2.01/0.73    ![X0]: (singleton(X0)=x|~subclass(singleton(singleton(X0)),x))),
% 2.01/0.73    inference(resolution,[status(thm)],[f382,f1801])).
% 2.01/0.73  fof(f6900,plain,(
% 2.01/0.73    ![X0]: (~member(regular(universal_class),X0)|~spl0_338)),
% 2.01/0.73    inference(resolution,[status(thm)],[f6531,f146])).
% 2.01/0.73  fof(f6901,plain,(
% 2.01/0.73    $false|~spl0_338),
% 2.01/0.73    inference(forward_subsumption_resolution,[status(thm)],[f6900,f6531])).
% 2.01/0.73  fof(f6902,plain,(
% 2.01/0.73    ~spl0_338),
% 2.01/0.73    inference(contradiction_clause,[status(thm)],[f6901])).
% 2.01/0.73  fof(f7185,plain,(
% 2.01/0.73    spl0_359 <=> member(null_class,X0)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f7186,plain,(
% 2.01/0.73    ![X0]: (member(null_class,X0)|~spl0_359)),
% 2.01/0.73    inference(component_clause,[status(thm)],[f7185])).
% 2.01/0.73  fof(f7188,plain,(
% 2.01/0.73    spl0_360 <=> member(power_class(null_class),universal_class)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f7191,plain,(
% 2.01/0.73    ![X0]: (member(null_class,X0)|member(power_class(null_class),universal_class))),
% 2.01/0.73    inference(resolution,[status(thm)],[f1564,f3858])).
% 2.01/0.73  fof(f7192,plain,(
% 2.01/0.73    spl0_359|spl0_360),
% 2.01/0.73    inference(split_clause,[status(thm)],[f7191,f7185,f7188])).
% 2.01/0.73  fof(f7193,plain,(
% 2.01/0.73    spl0_361 <=> member(sum_class(null_class),universal_class)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f7196,plain,(
% 2.01/0.73    ![X0]: (member(null_class,X0)|member(sum_class(null_class),universal_class))),
% 2.01/0.73    inference(resolution,[status(thm)],[f1564,f3510])).
% 2.01/0.73  fof(f7197,plain,(
% 2.01/0.73    spl0_359|spl0_361),
% 2.01/0.73    inference(split_clause,[status(thm)],[f7196,f7185,f7193])).
% 2.01/0.73  fof(f7198,plain,(
% 2.01/0.73    spl0_362 <=> member(null_class,unordered_pair(null_class,X1))),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f7201,plain,(
% 2.01/0.73    ![X0,X1]: (member(null_class,X0)|member(null_class,unordered_pair(null_class,X1)))),
% 2.01/0.73    inference(resolution,[status(thm)],[f1564,f298])).
% 2.01/0.73  fof(f7202,plain,(
% 2.01/0.73    spl0_359|spl0_362),
% 2.01/0.73    inference(split_clause,[status(thm)],[f7201,f7185,f7198])).
% 2.01/0.73  fof(f7203,plain,(
% 2.01/0.73    spl0_363 <=> member(null_class,unordered_pair(X1,null_class))),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f7206,plain,(
% 2.01/0.73    ![X0,X1]: (member(null_class,X0)|member(null_class,unordered_pair(X1,null_class)))),
% 2.01/0.73    inference(resolution,[status(thm)],[f1564,f310])).
% 2.01/0.73  fof(f7207,plain,(
% 2.01/0.73    spl0_359|spl0_363),
% 2.01/0.73    inference(split_clause,[status(thm)],[f7206,f7185,f7203])).
% 2.01/0.73  fof(f7212,plain,(
% 2.01/0.73    spl0_364 <=> member(omega,X0)|~subclass(complement(X0),x)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f7215,plain,(
% 2.01/0.73    ![X0]: (member(omega,X0)|omega=x|~subclass(complement(X0),x))),
% 2.01/0.73    inference(resolution,[status(thm)],[f1565,f382])).
% 2.01/0.73  fof(f7216,plain,(
% 2.01/0.73    spl0_364|spl0_22),
% 2.01/0.73    inference(split_clause,[status(thm)],[f7215,f7212,f444])).
% 2.01/0.73  fof(f7217,plain,(
% 2.01/0.73    spl0_365 <=> member(omega,X0)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f7218,plain,(
% 2.01/0.73    ![X0]: (member(omega,X0)|~spl0_365)),
% 2.01/0.73    inference(component_clause,[status(thm)],[f7217])).
% 2.01/0.73  fof(f7220,plain,(
% 2.01/0.73    spl0_366 <=> member(power_class(omega),universal_class)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f7223,plain,(
% 2.01/0.73    ![X0]: (member(omega,X0)|member(power_class(omega),universal_class))),
% 2.01/0.73    inference(resolution,[status(thm)],[f1565,f3858])).
% 2.01/0.73  fof(f7224,plain,(
% 2.01/0.73    spl0_365|spl0_366),
% 2.01/0.73    inference(split_clause,[status(thm)],[f7223,f7217,f7220])).
% 2.01/0.73  fof(f7225,plain,(
% 2.01/0.73    spl0_367 <=> member(sum_class(omega),universal_class)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f7228,plain,(
% 2.01/0.73    ![X0]: (member(omega,X0)|member(sum_class(omega),universal_class))),
% 2.01/0.73    inference(resolution,[status(thm)],[f1565,f3510])).
% 2.01/0.73  fof(f7229,plain,(
% 2.01/0.73    spl0_365|spl0_367),
% 2.01/0.73    inference(split_clause,[status(thm)],[f7228,f7217,f7225])).
% 2.01/0.73  fof(f7230,plain,(
% 2.01/0.73    spl0_368 <=> member(omega,unordered_pair(omega,X1))),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f7233,plain,(
% 2.01/0.73    ![X0,X1]: (member(omega,X0)|member(omega,unordered_pair(omega,X1)))),
% 2.01/0.73    inference(resolution,[status(thm)],[f1565,f298])).
% 2.01/0.73  fof(f7234,plain,(
% 2.01/0.73    spl0_365|spl0_368),
% 2.01/0.73    inference(split_clause,[status(thm)],[f7233,f7217,f7230])).
% 2.01/0.73  fof(f7235,plain,(
% 2.01/0.73    spl0_369 <=> member(omega,unordered_pair(X1,omega))),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f7238,plain,(
% 2.01/0.73    ![X0,X1]: (member(omega,X0)|member(omega,unordered_pair(X1,omega)))),
% 2.01/0.73    inference(resolution,[status(thm)],[f1565,f310])).
% 2.01/0.73  fof(f7239,plain,(
% 2.01/0.73    spl0_365|spl0_369),
% 2.01/0.73    inference(split_clause,[status(thm)],[f7238,f7217,f7235])).
% 2.01/0.73  fof(f7249,plain,(
% 2.01/0.73    ![X0]: (member(x,X0)|X0=null_class|~spl0_214)),
% 2.01/0.73    inference(resolution,[status(thm)],[f1790,f3519])).
% 2.01/0.73  fof(f7342,plain,(
% 2.01/0.73    complement(null_class)=null_class|~spl0_214|spl0_314),
% 2.01/0.73    inference(resolution,[status(thm)],[f7249,f6152])).
% 2.01/0.73  fof(f7375,plain,(
% 2.01/0.73    ![X0]: (singleton(X0)=null_class|x=X0|~spl0_214)),
% 2.01/0.73    inference(resolution,[status(thm)],[f7249,f283])).
% 2.01/0.73  fof(f7434,plain,(
% 2.01/0.73    not_subclass_element(x,null_class)=x|spl0_214),
% 2.01/0.73    inference(resolution,[status(thm)],[f3115,f381])).
% 2.01/0.73  fof(f7435,plain,(
% 2.01/0.73    spl0_154|spl0_214),
% 2.01/0.73    inference(split_clause,[status(thm)],[f7434,f1906,f3113])).
% 2.01/0.73  fof(f7491,plain,(
% 2.01/0.73    member(x,element_relation)|~spl0_137),
% 2.01/0.73    inference(resolution,[status(thm)],[f361,f1612])).
% 2.01/0.73  fof(f7531,plain,(
% 2.01/0.73    ![X0]: (~member(null_class,X0)|~spl0_359)),
% 2.01/0.73    inference(resolution,[status(thm)],[f7186,f146])).
% 2.01/0.73  fof(f7532,plain,(
% 2.01/0.73    $false|~spl0_359),
% 2.01/0.73    inference(forward_subsumption_resolution,[status(thm)],[f7531,f7186])).
% 2.01/0.73  fof(f7533,plain,(
% 2.01/0.73    ~spl0_359),
% 2.01/0.73    inference(contradiction_clause,[status(thm)],[f7532])).
% 2.01/0.73  fof(f7567,plain,(
% 2.01/0.73    ![X0]: (~member(omega,X0)|~spl0_365)),
% 2.01/0.73    inference(resolution,[status(thm)],[f7218,f146])).
% 2.01/0.73  fof(f7568,plain,(
% 2.01/0.73    $false|~spl0_365),
% 2.01/0.73    inference(forward_subsumption_resolution,[status(thm)],[f7567,f7218])).
% 2.01/0.73  fof(f7569,plain,(
% 2.01/0.73    ~spl0_365),
% 2.01/0.73    inference(contradiction_clause,[status(thm)],[f7568])).
% 2.01/0.73  fof(f7570,plain,(
% 2.01/0.73    $false|~spl0_62|spl0_22),
% 2.01/0.73    inference(backward_subsumption_resolution,[status(thm)],[f446,f762])).
% 2.01/0.73  fof(f7571,plain,(
% 2.01/0.73    ~spl0_62|spl0_22),
% 2.01/0.73    inference(contradiction_clause,[status(thm)],[f7570])).
% 2.01/0.73  fof(f7576,plain,(
% 2.01/0.73    ~member(x,null_class)|~spl0_214|spl0_314),
% 2.01/0.73    inference(backward_demodulation,[status(thm)],[f7342,f6152])).
% 2.01/0.73  fof(f7577,plain,(
% 2.01/0.73    ~spl0_199|~spl0_214|spl0_314),
% 2.01/0.73    inference(split_clause,[status(thm)],[f7576,f2733,f3113,f6150])).
% 2.01/0.73  fof(f7692,plain,(
% 2.01/0.73    ![X0]: (~member(X0,x)|X0=null_class|~spl0_10)),
% 2.01/0.73    inference(backward_demodulation,[status(thm)],[f386,f380])).
% 2.01/0.73  fof(f7693,plain,(
% 2.01/0.73    ![X0]: (~member(X0,null_class)|X0=null_class|~spl0_10)),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f386,f7692])).
% 2.01/0.73  fof(f7706,plain,(
% 2.01/0.73    member(x,null_class)|~spl0_10),
% 2.01/0.73    inference(backward_demodulation,[status(thm)],[f386,f360])).
% 2.01/0.73  fof(f7707,plain,(
% 2.01/0.73    spl0_199|~spl0_10),
% 2.01/0.73    inference(split_clause,[status(thm)],[f7706,f2733,f385])).
% 2.01/0.73  fof(f7854,plain,(
% 2.01/0.73    ![X0]: (singleton(X0)=null_class|null_class=X0|~spl0_10|~spl0_214)),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f386,f7375])).
% 2.01/0.73  fof(f7901,plain,(
% 2.01/0.73    ~spl0_50|~spl0_35),
% 2.01/0.73    inference(split_clause,[status(thm)],[f4175,f667,f571])).
% 2.01/0.73  fof(f7907,plain,(
% 2.01/0.73    subclass(null_class,element_relation)|~spl0_10|~spl0_137),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f386,f1612])).
% 2.01/0.73  fof(f7908,plain,(
% 2.01/0.73    member(null_class,element_relation)|~spl0_10|~spl0_137),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f386,f7491])).
% 2.01/0.73  fof(f8580,plain,(
% 2.01/0.73    spl0_400 <=> successor_relation=null_class),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f8581,plain,(
% 2.01/0.73    successor_relation=null_class|~spl0_400),
% 2.01/0.73    inference(component_clause,[status(thm)],[f8580])).
% 2.01/0.73  fof(f8582,plain,(
% 2.01/0.73    ~successor_relation=null_class|spl0_400),
% 2.01/0.73    inference(component_clause,[status(thm)],[f8580])).
% 2.01/0.73  fof(f8617,plain,(
% 2.01/0.73    ~spl0_139|spl0_131),
% 2.01/0.73    inference(split_clause,[status(thm)],[f2623,f1635,f1532])).
% 2.01/0.73  fof(f8619,plain,(
% 2.01/0.73    ~member(null_class,element_relation)|~spl0_10|spl0_131),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f386,f3885])).
% 2.01/0.73  fof(f8620,plain,(
% 2.01/0.73    $false|~spl0_137|~spl0_10|spl0_131),
% 2.01/0.73    inference(forward_subsumption_resolution,[status(thm)],[f8619,f7908])).
% 2.01/0.73  fof(f8621,plain,(
% 2.01/0.73    ~spl0_137|~spl0_10|spl0_131),
% 2.01/0.73    inference(contradiction_clause,[status(thm)],[f8620])).
% 2.01/0.73  fof(f8772,plain,(
% 2.01/0.73    successor_relation=null_class|~spl0_10|~spl0_205),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f386,f2818])).
% 2.01/0.73  fof(f8942,plain,(
% 2.01/0.73    ~successor_relation=null_class|~spl0_10|spl0_205),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f386,f2819])).
% 2.01/0.73  fof(f9015,plain,(
% 2.01/0.73    spl0_413 <=> member(omega,null_class)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f9016,plain,(
% 2.01/0.73    member(omega,null_class)|~spl0_413),
% 2.01/0.73    inference(component_clause,[status(thm)],[f9015])).
% 2.01/0.73  fof(f9158,plain,(
% 2.01/0.73    ![X0,X1]: (~member(X0,X1)|~spl0_198)),
% 2.01/0.73    inference(backward_subsumption_resolution,[status(thm)],[f146,f2720])).
% 2.01/0.73  fof(f9159,plain,(
% 2.01/0.73    $false|~spl0_198),
% 2.01/0.73    inference(forward_subsumption_resolution,[status(thm)],[f9158,f2720])).
% 2.01/0.73  fof(f9160,plain,(
% 2.01/0.73    ~spl0_198),
% 2.01/0.73    inference(contradiction_clause,[status(thm)],[f9159])).
% 2.01/0.73  fof(f9164,plain,(
% 2.01/0.73    spl0_423 <=> ~subclass(X0,null_class)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f9165,plain,(
% 2.01/0.73    ![X0]: (~subclass(X0,null_class)|~spl0_423)),
% 2.01/0.73    inference(component_clause,[status(thm)],[f9164])).
% 2.01/0.73  fof(f9263,plain,(
% 2.01/0.73    ~universal_class=null_class|spl0_23|~spl0_10),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f386,f475])).
% 2.01/0.73  fof(f9265,plain,(
% 2.01/0.73    $false|~spl0_423),
% 2.01/0.73    inference(resolution,[status(thm)],[f9165,f246])).
% 2.01/0.73  fof(f9266,plain,(
% 2.01/0.73    ~spl0_423),
% 2.01/0.73    inference(contradiction_clause,[status(thm)],[f9265])).
% 2.01/0.73  fof(f9432,plain,(
% 2.01/0.73    ~subclass(null_class,successor_relation)|~spl0_10|spl0_140),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f386,f1640])).
% 2.01/0.73  fof(f9435,plain,(
% 2.01/0.73    ~subclass(null_class,element_relation)|~spl0_10|spl0_137),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f386,f1613])).
% 2.01/0.73  fof(f10509,plain,(
% 2.01/0.73    ![X0]: (singleton(X0)=null_class|~subclass(singleton(singleton(X0)),x)|~spl0_10)),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f386,f6756])).
% 2.01/0.73  fof(f10510,plain,(
% 2.01/0.73    ![X0]: (singleton(X0)=null_class|~subclass(singleton(singleton(X0)),null_class)|~spl0_10)),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f386,f10509])).
% 2.01/0.73  fof(f10511,plain,(
% 2.01/0.73    spl0_437 <=> subclass(singleton(null_class),null_class)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f10513,plain,(
% 2.01/0.73    ~subclass(singleton(null_class),null_class)|spl0_437),
% 2.01/0.73    inference(component_clause,[status(thm)],[f10511])).
% 2.01/0.73  fof(f10514,plain,(
% 2.01/0.73    singleton(null_class)=null_class|~subclass(singleton(null_class),null_class)|~spl0_10),
% 2.01/0.73    inference(paramodulation,[status(thm)],[f5062,f10510])).
% 2.01/0.73  fof(f10515,plain,(
% 2.01/0.73    spl0_294|~spl0_437|~spl0_10),
% 2.01/0.73    inference(split_clause,[status(thm)],[f10514,f5150,f10511,f385])).
% 2.01/0.73  fof(f10516,plain,(
% 2.01/0.73    ~subclass(null_class,null_class)|~spl0_10|spl0_437),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f5062,f10513])).
% 2.01/0.73  fof(f10517,plain,(
% 2.01/0.73    $false|~spl0_10|spl0_437),
% 2.01/0.73    inference(forward_subsumption_resolution,[status(thm)],[f10516,f246])).
% 2.01/0.73  fof(f10518,plain,(
% 2.01/0.73    ~spl0_10|spl0_437),
% 2.01/0.73    inference(contradiction_clause,[status(thm)],[f10517])).
% 2.01/0.73  fof(f10739,plain,(
% 2.01/0.73    ~null_class=null_class|~spl0_400|~spl0_10|spl0_205),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f8581,f8942])).
% 2.01/0.73  fof(f10740,plain,(
% 2.01/0.73    $false|~spl0_400|~spl0_10|spl0_205),
% 2.01/0.73    inference(trivial_equality_resolution,[status(esa)],[f10739])).
% 2.01/0.73  fof(f10741,plain,(
% 2.01/0.73    ~spl0_400|~spl0_10|spl0_205),
% 2.01/0.73    inference(contradiction_clause,[status(thm)],[f10740])).
% 2.01/0.73  fof(f11652,plain,(
% 2.01/0.73    spl0_499 <=> ~subclass(null_class,X0)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f11653,plain,(
% 2.01/0.73    ![X0]: (~subclass(null_class,X0)|~spl0_499)),
% 2.01/0.73    inference(component_clause,[status(thm)],[f11652])).
% 2.01/0.73  fof(f11675,plain,(
% 2.01/0.73    spl0_359|~spl0_83|~spl0_10),
% 2.01/0.73    inference(split_clause,[status(thm)],[f1025,f7185,f985,f385])).
% 2.01/0.73  fof(f11714,plain,(
% 2.01/0.73    $false|~spl0_169),
% 2.01/0.73    inference(resolution,[status(thm)],[f2219,f118])).
% 2.01/0.73  fof(f11715,plain,(
% 2.01/0.73    ~spl0_169),
% 2.01/0.73    inference(contradiction_clause,[status(thm)],[f11714])).
% 2.01/0.73  fof(f11723,plain,(
% 2.01/0.73    $false|~spl0_499),
% 2.01/0.73    inference(resolution,[status(thm)],[f11653,f118])).
% 2.01/0.73  fof(f11724,plain,(
% 2.01/0.73    ~spl0_499),
% 2.01/0.73    inference(contradiction_clause,[status(thm)],[f11723])).
% 2.01/0.73  fof(f11736,plain,(
% 2.01/0.73    ~subclass(null_class,null_class)|~spl0_205|~spl0_10|spl0_140),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f8772,f9432])).
% 2.01/0.73  fof(f11737,plain,(
% 2.01/0.73    $false|~spl0_205|~spl0_10|spl0_140),
% 2.01/0.73    inference(forward_subsumption_resolution,[status(thm)],[f11736,f246])).
% 2.01/0.73  fof(f11738,plain,(
% 2.01/0.73    ~spl0_205|~spl0_10|spl0_140),
% 2.01/0.73    inference(contradiction_clause,[status(thm)],[f11737])).
% 2.01/0.73  fof(f12789,plain,(
% 2.01/0.73    omega=null_class|~spl0_10|~spl0_413),
% 2.01/0.73    inference(resolution,[status(thm)],[f1031,f9016])).
% 2.01/0.73  fof(f12790,plain,(
% 2.01/0.73    spl0_110|~spl0_10|~spl0_413),
% 2.01/0.73    inference(split_clause,[status(thm)],[f12789,f1206,f385,f9015])).
% 2.01/0.73  fof(f12796,plain,(
% 2.01/0.73    spl0_556 <=> subclass(null_class,element_relation)),
% 2.01/0.73    introduced(split_symbol_definition)).
% 2.01/0.73  fof(f12797,plain,(
% 2.01/0.73    subclass(null_class,element_relation)|~spl0_556),
% 2.01/0.73    inference(component_clause,[status(thm)],[f12796])).
% 2.01/0.73  fof(f12803,plain,(
% 2.01/0.73    $false|~spl0_10|spl0_137|~spl0_556),
% 2.01/0.73    inference(forward_subsumption_resolution,[status(thm)],[f12797,f9435])).
% 2.01/0.73  fof(f12804,plain,(
% 2.01/0.73    ~spl0_10|spl0_137|~spl0_556),
% 2.01/0.73    inference(contradiction_clause,[status(thm)],[f12803])).
% 2.01/0.73  fof(f12805,plain,(
% 2.01/0.73    ~subclass(null_class,null_class)|~spl0_10|spl0_162),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f5062,f5081])).
% 2.01/0.73  fof(f12806,plain,(
% 2.01/0.73    $false|~spl0_10|spl0_162),
% 2.01/0.73    inference(forward_subsumption_resolution,[status(thm)],[f12805,f246])).
% 2.01/0.73  fof(f12807,plain,(
% 2.01/0.73    ~spl0_10|spl0_162),
% 2.01/0.73    inference(contradiction_clause,[status(thm)],[f12806])).
% 2.01/0.73  fof(f13912,plain,(
% 2.01/0.73    subclass(singleton(null_class),element_relation)|~spl0_10|~spl0_196),
% 2.01/0.73    inference(forward_demodulation,[status(thm)],[f386,f2608])).
% 2.01/0.73  fof(f13913,plain,(
% 2.01/0.73    subclass(null_class,element_relation)|~spl0_10|~spl0_196),
% 2.56/0.74    inference(forward_demodulation,[status(thm)],[f5062,f13912])).
% 2.56/0.74  fof(f13960,plain,(
% 2.56/0.74    ![X0]: (member(null_class,unordered_pair(null_class,X0)))),
% 2.56/0.74    inference(resolution,[status(thm)],[f298,f262])).
% 2.56/0.74  fof(f14585,plain,(
% 2.56/0.74    member(omega,null_class)|null_class=omega|~spl0_10|~spl0_214),
% 2.56/0.74    inference(paramodulation,[status(thm)],[f7854,f782])).
% 2.56/0.74  fof(f14586,plain,(
% 2.56/0.74    spl0_413|spl0_110|~spl0_10|~spl0_214),
% 2.56/0.74    inference(split_clause,[status(thm)],[f14585,f9015,f1206,f385,f3113])).
% 2.56/0.74  fof(f14597,plain,(
% 2.56/0.74    ![X0]: (member(singleton(X0),null_class)|null_class=singleton(X0)|~spl0_10|~spl0_214)),
% 2.56/0.74    inference(paramodulation,[status(thm)],[f7854,f1801])).
% 2.56/0.74  fof(f14598,plain,(
% 2.56/0.74    ![X0]: (null_class=singleton(X0)|~spl0_10|~spl0_214)),
% 2.56/0.74    inference(forward_subsumption_resolution,[status(thm)],[f14597,f7693])).
% 2.56/0.74  fof(f14696,plain,(
% 2.56/0.74    ![X0,X1]: (~member(X0,null_class)|X0=X1|~spl0_10|~spl0_214)),
% 2.56/0.74    inference(backward_demodulation,[status(thm)],[f14598,f283])).
% 2.56/0.74  fof(f14895,plain,(
% 2.56/0.74    member(null_class,singleton(null_class))),
% 2.56/0.74    inference(paramodulation,[status(thm)],[f129,f13960])).
% 2.56/0.74  fof(f14997,plain,(
% 2.56/0.74    member(null_class,null_class)|~spl0_10|~spl0_214),
% 2.56/0.74    inference(backward_demodulation,[status(thm)],[f14598,f14895])).
% 2.56/0.74  fof(f15203,plain,(
% 2.56/0.74    ![X0,X1,X2]: (not_subclass_element(null_class,complement(X0))=x|~subclass(X1,X0)|~subclass(X2,X1)|~member(x,X2)|~spl0_10)),
% 2.56/0.74    inference(forward_demodulation,[status(thm)],[f386,f706])).
% 2.56/0.74  fof(f15204,plain,(
% 2.56/0.74    ![X0,X1,X2]: (not_subclass_element(null_class,complement(X0))=null_class|~subclass(X1,X0)|~subclass(X2,X1)|~member(x,X2)|~spl0_10)),
% 2.56/0.74    inference(forward_demodulation,[status(thm)],[f386,f15203])).
% 2.56/0.74  fof(f15205,plain,(
% 2.56/0.74    ![X0,X1,X2]: (not_subclass_element(null_class,complement(X0))=null_class|~subclass(X1,X0)|~subclass(X2,X1)|~member(null_class,X2)|~spl0_10)),
% 2.56/0.74    inference(forward_demodulation,[status(thm)],[f386,f15204])).
% 2.56/0.74  fof(f15206,plain,(
% 2.56/0.74    spl0_642 <=> not_subclass_element(null_class,complement(X0))=null_class|~subclass(element_relation,X0)),
% 2.56/0.74    introduced(split_symbol_definition)).
% 2.56/0.74  fof(f15209,plain,(
% 2.56/0.74    ![X0]: (not_subclass_element(null_class,complement(X0))=null_class|~subclass(element_relation,X0)|~member(null_class,null_class)|~spl0_10|~spl0_137)),
% 2.56/0.74    inference(resolution,[status(thm)],[f15205,f7907])).
% 2.56/0.74  fof(f15210,plain,(
% 2.56/0.74    spl0_642|~spl0_82|~spl0_10|~spl0_137),
% 2.56/0.74    inference(split_clause,[status(thm)],[f15209,f15206,f982,f385,f1611])).
% 2.56/0.74  fof(f15241,plain,(
% 2.56/0.74    spl0_556|~spl0_10|~spl0_196),
% 2.56/0.74    inference(split_clause,[status(thm)],[f13913,f12796,f385,f2607])).
% 2.56/0.74  fof(f15845,plain,(
% 2.56/0.74    ![X0]: (null_class=X0|~spl0_10|~spl0_214)),
% 2.56/0.74    inference(resolution,[status(thm)],[f14696,f14997])).
% 2.56/0.74  fof(f15850,plain,(
% 2.56/0.74    $false|~spl0_10|~spl0_214|spl0_400),
% 2.56/0.74    inference(backward_subsumption_resolution,[status(thm)],[f8582,f15845])).
% 2.56/0.74  fof(f15851,plain,(
% 2.56/0.74    ~spl0_10|~spl0_214|spl0_400),
% 2.56/0.74    inference(contradiction_clause,[status(thm)],[f15850])).
% 2.56/0.74  fof(f15854,plain,(
% 2.56/0.74    $false|~spl0_214|spl0_23|~spl0_10),
% 2.56/0.74    inference(backward_subsumption_resolution,[status(thm)],[f9263,f15845])).
% 2.56/0.74  fof(f15855,plain,(
% 2.56/0.74    ~spl0_214|spl0_23|~spl0_10),
% 2.56/0.74    inference(contradiction_clause,[status(thm)],[f15854])).
% 2.56/0.74  fof(f15856,plain,(
% 2.56/0.74    $false),
% 2.56/0.74    inference(sat_refutation,[status(thm)],[f392,f421,f443,f471,f575,f577,f639,f671,f753,f765,f770,f775,f780,f787,f792,f797,f805,f810,f815,f949,f989,f1019,f1138,f1405,f1455,f1467,f1539,f1593,f1615,f1617,f1619,f1788,f2013,f2017,f2096,f2111,f2523,f2677,f2723,f2758,f2780,f3117,f3121,f3558,f3825,f3830,f3832,f3883,f4211,f4697,f4714,f4752,f4832,f5083,f5101,f5204,f5208,f6157,f6247,f6366,f6429,f6523,f6902,f7192,f7197,f7202,f7207,f7216,f7224,f7229,f7234,f7239,f7435,f7533,f7569,f7571,f7577,f7707,f7901,f8617,f8621,f9160,f9266,f10515,f10518,f10741,f11675,f11715,f11724,f11738,f12790,f12804,f12807,f14586,f15210,f15241,f15851,f15855])).
% 2.56/0.74  % SZS output end CNFRefutation for theBenchmark.p
% 2.56/0.75  % Elapsed time: 0.419117 seconds
% 2.56/0.75  % CPU time: 2.611009 seconds
% 2.56/0.75  % Memory used: 87.218 MB
%------------------------------------------------------------------------------