TSTP Solution File: SET497-6 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET497-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 12:34:36 EDT 2023
% Result : Unsatisfiable 12.67s 2.01s
% Output : CNFRefutation 12.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SET497-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n015.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 10:27:04 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 12.67/2.01 % Refutation found
% 12.67/2.01 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 12.67/2.01 % SZS output start CNFRefutation for theBenchmark
% 12.67/2.01 fof(f1,axiom,(
% 12.67/2.01 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 12.67/2.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.01 fof(f4,axiom,(
% 12.67/2.01 (![X]: (subclass(X,universal_class) ))),
% 12.67/2.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.01 fof(f5,axiom,(
% 12.67/2.01 (![X,Y]: (( X != Y| subclass(X,Y) ) ))),
% 12.67/2.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.01 fof(f8,axiom,(
% 12.67/2.01 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 12.67/2.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.01 fof(f9,axiom,(
% 12.67/2.01 (![X,Y]: (( ~ member(X,universal_class)| member(X,unordered_pair(X,Y)) ) ))),
% 12.67/2.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.01 fof(f10,axiom,(
% 12.67/2.01 (![Y,X]: (( ~ member(Y,universal_class)| member(Y,unordered_pair(X,Y)) ) ))),
% 12.67/2.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.01 fof(f11,axiom,(
% 12.67/2.01 (![X,Y]: (member(unordered_pair(X,Y),universal_class) ))),
% 12.67/2.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.01 fof(f12,axiom,(
% 12.67/2.01 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 12.67/2.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.01 fof(f15,axiom,(
% 12.67/2.01 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(V,Y) ) ))),
% 12.67/2.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.01 fof(f16,axiom,(
% 12.67/2.01 (![U,X,V,Y]: (( ~ member(U,X)| ~ member(V,Y)| member(ordered_pair(U,V),cross_product(X,Y)) ) ))),
% 12.67/2.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.01 fof(f20,axiom,(
% 12.67/2.01 (![X,Y]: (( ~ member(ordered_pair(X,Y),cross_product(universal_class,universal_class))| ~ member(X,Y)| member(ordered_pair(X,Y),element_relation) ) ))),
% 12.67/2.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.01 fof(f21,axiom,(
% 12.67/2.01 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 12.67/2.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.01 fof(f22,axiom,(
% 12.67/2.01 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 12.67/2.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.01 fof(f23,axiom,(
% 12.67/2.01 (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 12.67/2.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.01 fof(f24,axiom,(
% 12.67/2.01 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 12.67/2.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.01 fof(f25,axiom,(
% 12.67/2.01 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 12.67/2.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.01 fof(f26,axiom,(
% 12.67/2.01 (![X,Y]: (complement(intersection(complement(X),complement(Y))) = union(X,Y) ))),
% 12.67/2.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.01 fof(f28,axiom,(
% 12.67/2.01 (![Xr,X,Y]: (intersection(Xr,cross_product(X,Y)) = restrict(Xr,X,Y) ))),
% 12.67/2.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.01 fof(f31,axiom,(
% 12.67/2.01 (![Z,X]: (( ~ member(Z,universal_class)| restrict(X,singleton(Z),universal_class) = null_class| member(Z,domain_of(X)) ) ))),
% 12.67/2.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.01 fof(f42,axiom,(
% 12.67/2.01 (![Xr,X]: (range_of(restrict(Xr,X,universal_class)) = image(Xr,X) ))),
% 12.67/2.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.01 fof(f47,axiom,(
% 12.67/2.01 (![X]: (( ~ inductive(X)| member(null_class,X) ) ))),
% 12.67/2.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.01 fof(f50,axiom,(
% 12.67/2.01 inductive(omega) ),
% 12.67/2.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.01 fof(f52,axiom,(
% 12.67/2.01 member(omega,universal_class) ),
% 12.67/2.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.01 fof(f66,axiom,(
% 12.67/2.01 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 12.67/2.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.01 fof(f67,axiom,(
% 12.67/2.01 (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 12.67/2.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.01 fof(f70,axiom,(
% 12.67/2.01 (![Y]: (( ~ member(Y,universal_class)| Y = null_class| member(apply(choice,Y),Y) ) ))),
% 12.67/2.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.01 fof(f76,axiom,(
% 12.67/2.01 (![Xr]: (complement(domain_of(intersection(Xr,identity_relation))) = diagonalise(Xr) ))),
% 12.67/2.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.02 fof(f111,axiom,(
% 12.67/2.02 (![Xf,X,Y]: (( ~ maps(Xf,X,Y)| subclass(range_of(Xf),Y) ) ))),
% 12.67/2.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.02 fof(f113,negated_conjecture,(
% 12.67/2.02 member(z,diagonalise(element_relation)) ),
% 12.67/2.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.02 fof(f114,negated_conjecture,(
% 12.67/2.02 member(z,z) ),
% 12.67/2.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.67/2.02 fof(f115,plain,(
% 12.67/2.02 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 12.67/2.02 inference(miniscoping,[status(esa)],[f1])).
% 12.67/2.02 fof(f116,plain,(
% 12.67/2.02 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f115])).
% 12.67/2.02 fof(f119,plain,(
% 12.67/2.02 ![X0]: (subclass(X0,universal_class))),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f4])).
% 12.67/2.02 fof(f120,plain,(
% 12.67/2.02 ![X0,X1]: (~X0=X1|subclass(X0,X1))),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f5])).
% 12.67/2.02 fof(f123,plain,(
% 12.67/2.02 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 12.67/2.02 inference(miniscoping,[status(esa)],[f8])).
% 12.67/2.02 fof(f124,plain,(
% 12.67/2.02 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f123])).
% 12.67/2.02 fof(f125,plain,(
% 12.67/2.02 ![X]: (~member(X,universal_class)|(![Y]: member(X,unordered_pair(X,Y))))),
% 12.67/2.02 inference(miniscoping,[status(esa)],[f9])).
% 12.67/2.02 fof(f126,plain,(
% 12.67/2.02 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X0,X1)))),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f125])).
% 12.67/2.02 fof(f127,plain,(
% 12.67/2.02 ![Y]: (~member(Y,universal_class)|(![X]: member(Y,unordered_pair(X,Y))))),
% 12.67/2.02 inference(miniscoping,[status(esa)],[f10])).
% 12.67/2.02 fof(f128,plain,(
% 12.67/2.02 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X1,X0)))),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f127])).
% 12.67/2.02 fof(f129,plain,(
% 12.67/2.02 ![X0,X1]: (member(unordered_pair(X0,X1),universal_class))),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f11])).
% 12.67/2.02 fof(f130,plain,(
% 12.67/2.02 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f12])).
% 12.67/2.02 fof(f134,plain,(
% 12.67/2.02 ![V,Y]: ((![U,X]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(V,Y))),
% 12.67/2.02 inference(miniscoping,[status(esa)],[f15])).
% 12.67/2.02 fof(f135,plain,(
% 12.67/2.02 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X1,X3))),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f134])).
% 12.67/2.02 fof(f136,plain,(
% 12.67/2.02 ![X0,X1,X2,X3]: (~member(X0,X1)|~member(X2,X3)|member(ordered_pair(X0,X2),cross_product(X1,X3)))),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f16])).
% 12.67/2.02 fof(f141,plain,(
% 12.67/2.02 ![X0,X1]: (~member(ordered_pair(X0,X1),cross_product(universal_class,universal_class))|~member(X0,X1)|member(ordered_pair(X0,X1),element_relation))),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f20])).
% 12.67/2.02 fof(f142,plain,(
% 12.67/2.02 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 12.67/2.02 inference(miniscoping,[status(esa)],[f21])).
% 12.67/2.02 fof(f143,plain,(
% 12.67/2.02 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f142])).
% 12.67/2.02 fof(f144,plain,(
% 12.67/2.02 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 12.67/2.02 inference(miniscoping,[status(esa)],[f22])).
% 12.67/2.02 fof(f145,plain,(
% 12.67/2.02 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f144])).
% 12.67/2.02 fof(f146,plain,(
% 12.67/2.02 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f23])).
% 12.67/2.02 fof(f147,plain,(
% 12.67/2.02 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f24])).
% 12.67/2.02 fof(f148,plain,(
% 12.67/2.02 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f25])).
% 12.67/2.02 fof(f149,plain,(
% 12.67/2.02 ![X0,X1]: (complement(intersection(complement(X0),complement(X1)))=union(X0,X1))),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f26])).
% 12.67/2.02 fof(f151,plain,(
% 12.67/2.02 ![X0,X1,X2]: (intersection(X0,cross_product(X1,X2))=restrict(X0,X1,X2))),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f28])).
% 12.67/2.02 fof(f154,plain,(
% 12.67/2.02 ![X0,X1]: (~member(X0,universal_class)|restrict(X1,singleton(X0),universal_class)=null_class|member(X0,domain_of(X1)))),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f31])).
% 12.67/2.02 fof(f165,plain,(
% 12.67/2.02 ![X0,X1]: (range_of(restrict(X0,X1,universal_class))=image(X0,X1))),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f42])).
% 12.67/2.02 fof(f170,plain,(
% 12.67/2.02 ![X0]: (~inductive(X0)|member(null_class,X0))),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f47])).
% 12.67/2.02 fof(f173,plain,(
% 12.67/2.02 inductive(omega)),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f50])).
% 12.67/2.02 fof(f175,plain,(
% 12.67/2.02 member(omega,universal_class)),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f52])).
% 12.67/2.02 fof(f189,plain,(
% 12.67/2.02 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f66])).
% 12.67/2.02 fof(f190,plain,(
% 12.67/2.02 ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f67])).
% 12.67/2.02 fof(f193,plain,(
% 12.67/2.02 ![X0]: (~member(X0,universal_class)|X0=null_class|member(apply(choice,X0),X0))),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f70])).
% 12.67/2.02 fof(f199,plain,(
% 12.67/2.02 ![X0]: (complement(domain_of(intersection(X0,identity_relation)))=diagonalise(X0))),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f76])).
% 12.67/2.02 fof(f243,plain,(
% 12.67/2.02 ![Xf,Y]: ((![X]: ~maps(Xf,X,Y))|subclass(range_of(Xf),Y))),
% 12.67/2.02 inference(miniscoping,[status(esa)],[f111])).
% 12.67/2.02 fof(f244,plain,(
% 12.67/2.02 ![X0,X1,X2]: (~maps(X0,X1,X2)|subclass(range_of(X0),X2))),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f243])).
% 12.67/2.02 fof(f246,plain,(
% 12.67/2.02 member(z,diagonalise(element_relation))),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f113])).
% 12.67/2.02 fof(f247,plain,(
% 12.67/2.02 member(z,z)),
% 12.67/2.02 inference(cnf_transformation,[status(esa)],[f114])).
% 12.67/2.02 fof(f248,plain,(
% 12.67/2.02 ![X0]: (subclass(X0,X0))),
% 12.67/2.02 inference(destructive_equality_resolution,[status(esa)],[f120])).
% 12.67/2.02 fof(f252,plain,(
% 12.67/2.02 ![X0]: (~member(regular(complement(X0)),X0)|complement(X0)=null_class)),
% 12.67/2.02 inference(resolution,[status(thm)],[f147,f189])).
% 12.67/2.02 fof(f253,plain,(
% 12.67/2.02 ![X0,X1]: (~member(X0,diagonalise(X1))|~member(X0,domain_of(intersection(X1,identity_relation))))),
% 12.67/2.02 inference(paramodulation,[status(thm)],[f199,f147])).
% 12.67/2.02 fof(f255,plain,(
% 12.67/2.02 ~member(z,domain_of(intersection(element_relation,identity_relation)))),
% 12.67/2.02 inference(resolution,[status(thm)],[f253,f246])).
% 12.67/2.02 fof(f262,plain,(
% 12.67/2.02 ![X0,X1,X2]: (~subclass(element_relation,X0)|member(ordered_pair(X1,X2),X0)|~member(ordered_pair(X1,X2),cross_product(universal_class,universal_class))|~member(X1,X2))),
% 12.67/2.02 inference(resolution,[status(thm)],[f116,f141])).
% 12.67/2.02 fof(f263,plain,(
% 12.67/2.02 ![X0]: (~subclass(diagonalise(element_relation),X0)|member(z,X0))),
% 12.67/2.02 inference(resolution,[status(thm)],[f116,f246])).
% 12.67/2.02 fof(f264,plain,(
% 12.67/2.02 ![X0]: (~subclass(z,X0)|member(z,X0))),
% 12.67/2.02 inference(resolution,[status(thm)],[f116,f247])).
% 12.67/2.02 fof(f266,plain,(
% 12.67/2.02 ![X0]: (~subclass(X0,domain_of(intersection(element_relation,identity_relation)))|~member(z,X0))),
% 12.67/2.02 inference(resolution,[status(thm)],[f116,f255])).
% 12.67/2.02 fof(f276,plain,(
% 12.67/2.02 ![X0,X1]: (~subclass(z,intersection(X0,X1))|member(z,X0))),
% 12.67/2.02 inference(resolution,[status(thm)],[f264,f143])).
% 12.67/2.02 fof(f279,plain,(
% 12.67/2.02 ![X0,X1]: (~subclass(z,X0)|~subclass(X0,X1)|member(z,X1))),
% 12.67/2.02 inference(resolution,[status(thm)],[f264,f116])).
% 12.67/2.02 fof(f283,plain,(
% 12.67/2.02 spl0_1 <=> universal_class=null_class),
% 12.67/2.02 introduced(split_symbol_definition)).
% 12.67/2.02 fof(f284,plain,(
% 12.67/2.02 universal_class=null_class|~spl0_1),
% 12.67/2.02 inference(component_clause,[status(thm)],[f283])).
% 12.67/2.02 fof(f285,plain,(
% 12.67/2.02 ~universal_class=null_class|spl0_1),
% 12.67/2.02 inference(component_clause,[status(thm)],[f283])).
% 12.67/2.02 fof(f289,plain,(
% 12.67/2.02 spl0_2 <=> member(z,unordered_pair(z,X0))),
% 12.67/2.02 introduced(split_symbol_definition)).
% 12.67/2.02 fof(f290,plain,(
% 12.67/2.02 ![X0]: (member(z,unordered_pair(z,X0))|~spl0_2)),
% 12.67/2.02 inference(component_clause,[status(thm)],[f289])).
% 12.67/2.02 fof(f292,plain,(
% 12.67/2.02 spl0_3 <=> subclass(z,universal_class)),
% 12.67/2.02 introduced(split_symbol_definition)).
% 12.67/2.02 fof(f294,plain,(
% 12.67/2.02 ~subclass(z,universal_class)|spl0_3),
% 12.67/2.02 inference(component_clause,[status(thm)],[f292])).
% 12.67/2.02 fof(f295,plain,(
% 12.67/2.02 ![X0]: (member(z,unordered_pair(z,X0))|~subclass(z,universal_class))),
% 12.67/2.02 inference(resolution,[status(thm)],[f126,f264])).
% 12.67/2.02 fof(f296,plain,(
% 12.67/2.02 spl0_2|~spl0_3),
% 12.67/2.02 inference(split_clause,[status(thm)],[f295,f289,f292])).
% 12.67/2.02 fof(f297,plain,(
% 12.67/2.02 ![X0,X1,X2]: (member(X0,unordered_pair(X0,X1))|~subclass(X2,universal_class)|~member(X0,X2))),
% 12.67/2.02 inference(resolution,[status(thm)],[f126,f116])).
% 12.67/2.02 fof(f304,plain,(
% 12.67/2.02 spl0_5 <=> member(z,unordered_pair(X0,z))),
% 12.67/2.02 introduced(split_symbol_definition)).
% 12.67/2.02 fof(f305,plain,(
% 12.67/2.02 ![X0]: (member(z,unordered_pair(X0,z))|~spl0_5)),
% 12.67/2.02 inference(component_clause,[status(thm)],[f304])).
% 12.67/2.02 fof(f309,plain,(
% 12.67/2.02 ![X0,X1,X2]: (member(X0,unordered_pair(X1,X0))|~subclass(X2,universal_class)|~member(X0,X2))),
% 12.67/2.02 inference(resolution,[status(thm)],[f128,f116])).
% 12.67/2.02 fof(f329,plain,(
% 12.67/2.02 $false|spl0_3),
% 12.67/2.02 inference(forward_subsumption_resolution,[status(thm)],[f294,f119])).
% 12.67/2.02 fof(f330,plain,(
% 12.67/2.02 spl0_3),
% 12.67/2.02 inference(contradiction_clause,[status(thm)],[f329])).
% 12.67/2.02 fof(f331,plain,(
% 12.67/2.02 ![X0,X1]: (~subclass(unordered_pair(X0,z),X1)|member(z,X1)|~spl0_5)),
% 12.67/2.02 inference(resolution,[status(thm)],[f305,f116])).
% 12.67/2.02 fof(f333,plain,(
% 12.67/2.02 spl0_6 <=> ~subclass(unordered_pair(X0,z),universal_class)),
% 12.67/2.02 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f334,plain,(
% 12.67/2.03 ![X0]: (~subclass(unordered_pair(X0,z),universal_class)|~spl0_6)),
% 12.67/2.03 inference(component_clause,[status(thm)],[f333])).
% 12.67/2.03 fof(f344,plain,(
% 12.67/2.03 ![X0,X1,X2]: (~subclass(unordered_pair(X0,z),X1)|~subclass(X1,X2)|member(z,X2)|~spl0_5)),
% 12.67/2.03 inference(resolution,[status(thm)],[f331,f116])).
% 12.67/2.03 fof(f345,plain,(
% 12.67/2.03 ![X0,X1]: (~subclass(unordered_pair(z,X0),X1)|member(z,X1)|~spl0_2)),
% 12.67/2.03 inference(resolution,[status(thm)],[f290,f116])).
% 12.67/2.03 fof(f347,plain,(
% 12.67/2.03 spl0_7 <=> ~subclass(unordered_pair(z,X0),universal_class)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f348,plain,(
% 12.67/2.03 ![X0]: (~subclass(unordered_pair(z,X0),universal_class)|~spl0_7)),
% 12.67/2.03 inference(component_clause,[status(thm)],[f347])).
% 12.67/2.03 fof(f350,plain,(
% 12.67/2.03 ![X0,X1]: (~subclass(unordered_pair(z,X0),universal_class)|member(z,unordered_pair(X1,z))|~spl0_2)),
% 12.67/2.03 inference(resolution,[status(thm)],[f345,f128])).
% 12.67/2.03 fof(f351,plain,(
% 12.67/2.03 spl0_7|spl0_5|~spl0_2),
% 12.67/2.03 inference(split_clause,[status(thm)],[f350,f347,f304,f289])).
% 12.67/2.03 fof(f362,plain,(
% 12.67/2.03 spl0_8 <=> ~subclass(unordered_pair(X0,z),X1)|~subclass(X1,universal_class)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f363,plain,(
% 12.67/2.03 ![X0,X1]: (~subclass(unordered_pair(X0,z),X1)|~subclass(X1,universal_class)|~spl0_8)),
% 12.67/2.03 inference(component_clause,[status(thm)],[f362])).
% 12.67/2.03 fof(f372,plain,(
% 12.67/2.03 ![X0,X1,X2]: (~subclass(unordered_pair(X0,z),X1)|~subclass(X1,complement(X2))|~member(z,X2)|~spl0_5)),
% 12.67/2.03 inference(resolution,[status(thm)],[f344,f147])).
% 12.67/2.03 fof(f375,plain,(
% 12.67/2.03 spl0_9 <=> ~subclass(unordered_pair(z,X0),X1)|~subclass(X1,universal_class)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f376,plain,(
% 12.67/2.03 ![X0,X1]: (~subclass(unordered_pair(z,X0),X1)|~subclass(X1,universal_class)|~spl0_9)),
% 12.67/2.03 inference(component_clause,[status(thm)],[f375])).
% 12.67/2.03 fof(f417,plain,(
% 12.67/2.03 spl0_11 <=> ~subclass(unordered_pair(regular(universal_class),X0),universal_class)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f418,plain,(
% 12.67/2.03 ![X0]: (~subclass(unordered_pair(regular(universal_class),X0),universal_class)|~spl0_11)),
% 12.67/2.03 inference(component_clause,[status(thm)],[f417])).
% 12.67/2.03 fof(f429,plain,(
% 12.67/2.03 spl0_12 <=> ~subclass(unordered_pair(X0,regular(universal_class)),universal_class)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f430,plain,(
% 12.67/2.03 ![X0]: (~subclass(unordered_pair(X0,regular(universal_class)),universal_class)|~spl0_12)),
% 12.67/2.03 inference(component_clause,[status(thm)],[f429])).
% 12.67/2.03 fof(f461,plain,(
% 12.67/2.03 spl0_13 <=> subclass(diagonalise(element_relation),universal_class)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f463,plain,(
% 12.67/2.03 ~subclass(diagonalise(element_relation),universal_class)|spl0_13),
% 12.67/2.03 inference(component_clause,[status(thm)],[f461])).
% 12.67/2.03 fof(f469,plain,(
% 12.67/2.03 ![X0,X1]: (~subclass(diagonalise(element_relation),intersection(X0,X1))|member(z,X0))),
% 12.67/2.03 inference(resolution,[status(thm)],[f263,f143])).
% 12.67/2.03 fof(f472,plain,(
% 12.67/2.03 ![X0,X1]: (~subclass(diagonalise(element_relation),X0)|~subclass(X0,X1)|member(z,X1))),
% 12.67/2.03 inference(resolution,[status(thm)],[f263,f116])).
% 12.67/2.03 fof(f486,plain,(
% 12.67/2.03 spl0_14 <=> ~subclass(z,X0)|~subclass(X0,universal_class)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f487,plain,(
% 12.67/2.03 ![X0]: (~subclass(z,X0)|~subclass(X0,universal_class)|~spl0_14)),
% 12.67/2.03 inference(component_clause,[status(thm)],[f486])).
% 12.67/2.03 fof(f493,plain,(
% 12.67/2.03 ![X0,X1,X2]: (~subclass(z,X0)|~subclass(X0,intersection(X1,X2))|member(z,X2))),
% 12.67/2.03 inference(resolution,[status(thm)],[f279,f145])).
% 12.67/2.03 fof(f496,plain,(
% 12.67/2.03 ![X0,X1]: (~subclass(z,X0)|~subclass(X0,complement(X1))|~member(z,X1))),
% 12.67/2.03 inference(resolution,[status(thm)],[f279,f147])).
% 12.67/2.03 fof(f518,plain,(
% 12.67/2.03 spl0_15 <=> ~subclass(diagonalise(element_relation),X0)|~subclass(X0,universal_class)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f519,plain,(
% 12.67/2.03 ![X0]: (~subclass(diagonalise(element_relation),X0)|~subclass(X0,universal_class)|~spl0_15)),
% 12.67/2.03 inference(component_clause,[status(thm)],[f518])).
% 12.67/2.03 fof(f528,plain,(
% 12.67/2.03 ![X0,X1]: (~subclass(diagonalise(element_relation),X0)|~subclass(X0,complement(X1))|~member(z,X1))),
% 12.67/2.03 inference(resolution,[status(thm)],[f472,f147])).
% 12.67/2.03 fof(f568,plain,(
% 12.67/2.03 ![X0,X1,X2]: (member(unordered_pair(X0,X1),complement(X2))|member(unordered_pair(X0,X1),X2))),
% 12.67/2.03 inference(resolution,[status(thm)],[f148,f129])).
% 12.67/2.03 fof(f569,plain,(
% 12.67/2.03 spl0_17 <=> member(z,complement(X0))|member(z,X0)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f570,plain,(
% 12.67/2.03 ![X0]: (member(z,complement(X0))|member(z,X0)|~spl0_17)),
% 12.67/2.03 inference(component_clause,[status(thm)],[f569])).
% 12.67/2.03 fof(f580,plain,(
% 12.67/2.03 ![X0,X1,X2]: (member(z,complement(X0))|member(z,X0)|~subclass(unordered_pair(X1,z),X2)|~subclass(X2,universal_class)|~spl0_5)),
% 12.67/2.03 inference(resolution,[status(thm)],[f148,f344])).
% 12.67/2.03 fof(f581,plain,(
% 12.67/2.03 spl0_17|spl0_8|~spl0_5),
% 12.67/2.03 inference(split_clause,[status(thm)],[f580,f569,f362,f304])).
% 12.67/2.03 fof(f588,plain,(
% 12.67/2.03 ![X0,X1,X2]: (member(X0,complement(X1))|member(X0,X1)|~subclass(X2,universal_class)|~member(X0,X2))),
% 12.67/2.03 inference(resolution,[status(thm)],[f148,f116])).
% 12.67/2.03 fof(f589,plain,(
% 12.67/2.03 ![X0,X1,X2]: (member(X0,complement(X1))|member(X0,X1)|~member(X0,X2))),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f588,f119])).
% 12.67/2.03 fof(f590,plain,(
% 12.67/2.03 $false|~spl0_11),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f418,f119])).
% 12.67/2.03 fof(f591,plain,(
% 12.67/2.03 ~spl0_11),
% 12.67/2.03 inference(contradiction_clause,[status(thm)],[f590])).
% 12.67/2.03 fof(f592,plain,(
% 12.67/2.03 $false|~spl0_12),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f430,f119])).
% 12.67/2.03 fof(f593,plain,(
% 12.67/2.03 ~spl0_12),
% 12.67/2.03 inference(contradiction_clause,[status(thm)],[f592])).
% 12.67/2.03 fof(f596,plain,(
% 12.67/2.03 spl0_18 <=> member(z,X0)|~subclass(complement(X0),domain_of(intersection(element_relation,identity_relation)))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f599,plain,(
% 12.67/2.03 spl0_19 <=> ~member(z,X1)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f600,plain,(
% 12.67/2.03 ![X0]: (~member(z,X0)|~spl0_19)),
% 12.67/2.03 inference(component_clause,[status(thm)],[f599])).
% 12.67/2.03 fof(f602,plain,(
% 12.67/2.03 ![X0,X1]: (member(z,X0)|~member(z,X1)|~subclass(complement(X0),domain_of(intersection(element_relation,identity_relation))))),
% 12.67/2.03 inference(resolution,[status(thm)],[f589,f266])).
% 12.67/2.03 fof(f603,plain,(
% 12.67/2.03 spl0_18|spl0_19),
% 12.67/2.03 inference(split_clause,[status(thm)],[f602,f596,f599])).
% 12.67/2.03 fof(f604,plain,(
% 12.67/2.03 spl0_20 <=> member(z,X0)|~subclass(unordered_pair(X2,z),X3)|~subclass(X3,complement(complement(X0)))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f607,plain,(
% 12.67/2.03 ![X0,X1,X2,X3]: (member(z,X0)|~member(z,X1)|~subclass(unordered_pair(X2,z),X3)|~subclass(X3,complement(complement(X0)))|~spl0_5)),
% 12.67/2.03 inference(resolution,[status(thm)],[f589,f372])).
% 12.67/2.03 fof(f608,plain,(
% 12.67/2.03 spl0_20|spl0_19|~spl0_5),
% 12.67/2.03 inference(split_clause,[status(thm)],[f607,f604,f599,f304])).
% 12.67/2.03 fof(f609,plain,(
% 12.67/2.03 ![X0,X1,X2,X3]: (member(X0,X1)|~member(X0,X2)|~subclass(complement(X1),X3)|member(X0,X3))),
% 12.67/2.03 inference(resolution,[status(thm)],[f589,f116])).
% 12.67/2.03 fof(f610,plain,(
% 12.67/2.03 ![X0,X1,X2]: (member(X0,diagonalise(X1))|member(X0,domain_of(intersection(X1,identity_relation)))|~member(X0,X2))),
% 12.67/2.03 inference(paramodulation,[status(thm)],[f199,f589])).
% 12.67/2.03 fof(f614,plain,(
% 12.67/2.03 ![X0,X1,X2]: (member(X0,unordered_pair(X0,X1))|~member(X0,X2))),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f297,f119])).
% 12.67/2.03 fof(f615,plain,(
% 12.67/2.03 spl0_21 <=> ~subclass(unordered_pair(z,X1),domain_of(intersection(element_relation,identity_relation)))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f618,plain,(
% 12.67/2.03 ![X0,X1]: (~member(z,X0)|~subclass(unordered_pair(z,X1),domain_of(intersection(element_relation,identity_relation))))),
% 12.67/2.03 inference(resolution,[status(thm)],[f614,f266])).
% 12.67/2.03 fof(f619,plain,(
% 12.67/2.03 spl0_19|spl0_21),
% 12.67/2.03 inference(split_clause,[status(thm)],[f618,f599,f615])).
% 12.67/2.03 fof(f620,plain,(
% 12.67/2.03 spl0_22 <=> ~subclass(unordered_pair(X1,z),X2)|~subclass(X2,complement(unordered_pair(z,X3)))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f623,plain,(
% 12.67/2.03 ![X0,X1,X2,X3]: (~member(z,X0)|~subclass(unordered_pair(X1,z),X2)|~subclass(X2,complement(unordered_pair(z,X3)))|~spl0_5)),
% 12.67/2.03 inference(resolution,[status(thm)],[f614,f372])).
% 12.67/2.03 fof(f624,plain,(
% 12.67/2.03 spl0_19|spl0_22|~spl0_5),
% 12.67/2.03 inference(split_clause,[status(thm)],[f623,f599,f620,f304])).
% 12.67/2.03 fof(f625,plain,(
% 12.67/2.03 ![X0,X1,X2,X3]: (~member(X0,X1)|~subclass(unordered_pair(X0,X2),X3)|member(X0,X3))),
% 12.67/2.03 inference(resolution,[status(thm)],[f614,f116])).
% 12.67/2.03 fof(f626,plain,(
% 12.67/2.03 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 12.67/2.03 inference(resolution,[status(thm)],[f625,f119])).
% 12.67/2.03 fof(f627,plain,(
% 12.67/2.03 ![X0,X1,X2]: (member(X0,unordered_pair(X1,X0))|~member(X0,X2))),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f309,f119])).
% 12.67/2.03 fof(f628,plain,(
% 12.67/2.03 spl0_23 <=> ~subclass(unordered_pair(X1,z),domain_of(intersection(element_relation,identity_relation)))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f631,plain,(
% 12.67/2.03 ![X0,X1]: (~member(z,X0)|~subclass(unordered_pair(X1,z),domain_of(intersection(element_relation,identity_relation))))),
% 12.67/2.03 inference(resolution,[status(thm)],[f627,f266])).
% 12.67/2.03 fof(f632,plain,(
% 12.67/2.03 spl0_19|spl0_23),
% 12.67/2.03 inference(split_clause,[status(thm)],[f631,f599,f628])).
% 12.67/2.03 fof(f633,plain,(
% 12.67/2.03 spl0_24 <=> ~subclass(unordered_pair(X1,z),X2)|~subclass(X2,complement(unordered_pair(X3,z)))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f636,plain,(
% 12.67/2.03 ![X0,X1,X2,X3]: (~member(z,X0)|~subclass(unordered_pair(X1,z),X2)|~subclass(X2,complement(unordered_pair(X3,z)))|~spl0_5)),
% 12.67/2.03 inference(resolution,[status(thm)],[f627,f372])).
% 12.67/2.03 fof(f637,plain,(
% 12.67/2.03 spl0_19|spl0_24|~spl0_5),
% 12.67/2.03 inference(split_clause,[status(thm)],[f636,f599,f633,f304])).
% 12.67/2.03 fof(f642,plain,(
% 12.67/2.03 ![X0,X1,X2]: (member(X0,X1)|~member(X0,X2)|member(X0,universal_class))),
% 12.67/2.03 inference(resolution,[status(thm)],[f609,f119])).
% 12.67/2.03 fof(f644,plain,(
% 12.67/2.03 spl0_25 <=> member(regular(complement(universal_class)),X0)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f645,plain,(
% 12.67/2.03 ![X0]: (member(regular(complement(universal_class)),X0)|~spl0_25)),
% 12.67/2.03 inference(component_clause,[status(thm)],[f644])).
% 12.67/2.03 fof(f647,plain,(
% 12.67/2.03 spl0_26 <=> ~member(regular(complement(universal_class)),X1)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f648,plain,(
% 12.67/2.03 ![X0]: (~member(regular(complement(universal_class)),X0)|~spl0_26)),
% 12.67/2.03 inference(component_clause,[status(thm)],[f647])).
% 12.67/2.03 fof(f650,plain,(
% 12.67/2.03 spl0_27 <=> complement(universal_class)=null_class),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f651,plain,(
% 12.67/2.03 complement(universal_class)=null_class|~spl0_27),
% 12.67/2.03 inference(component_clause,[status(thm)],[f650])).
% 12.67/2.03 fof(f656,plain,(
% 12.67/2.03 spl0_28 <=> member(z,X0)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f657,plain,(
% 12.67/2.03 ![X0]: (member(z,X0)|~spl0_28)),
% 12.67/2.03 inference(component_clause,[status(thm)],[f656])).
% 12.67/2.03 fof(f659,plain,(
% 12.67/2.03 spl0_29 <=> subclass(universal_class,domain_of(intersection(element_relation,identity_relation)))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f664,plain,(
% 12.67/2.03 spl0_30 <=> ~subclass(unordered_pair(X2,z),X3)|~subclass(X3,complement(universal_class))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f667,plain,(
% 12.67/2.03 ![X0,X1,X2,X3]: (member(z,X0)|~member(z,X1)|~subclass(unordered_pair(X2,z),X3)|~subclass(X3,complement(universal_class))|~spl0_5)),
% 12.67/2.03 inference(resolution,[status(thm)],[f642,f372])).
% 12.67/2.03 fof(f668,plain,(
% 12.67/2.03 spl0_28|spl0_19|spl0_30|~spl0_5),
% 12.67/2.03 inference(split_clause,[status(thm)],[f667,f656,f599,f664,f304])).
% 12.67/2.03 fof(f670,plain,(
% 12.67/2.03 $false|spl0_13),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f463,f119])).
% 12.67/2.03 fof(f671,plain,(
% 12.67/2.03 spl0_13),
% 12.67/2.03 inference(contradiction_clause,[status(thm)],[f670])).
% 12.67/2.03 fof(f672,plain,(
% 12.67/2.03 ![X0]: (~subclass(z,X0)|~spl0_14)),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f487,f119])).
% 12.67/2.03 fof(f673,plain,(
% 12.67/2.03 ![X0]: (~subclass(diagonalise(element_relation),X0)|~spl0_15)),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f519,f119])).
% 12.67/2.03 fof(f674,plain,(
% 12.67/2.03 $false|~spl0_6),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f334,f119])).
% 12.67/2.03 fof(f675,plain,(
% 12.67/2.03 ~spl0_6),
% 12.67/2.03 inference(contradiction_clause,[status(thm)],[f674])).
% 12.67/2.03 fof(f676,plain,(
% 12.67/2.03 $false|~spl0_7),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f348,f119])).
% 12.67/2.03 fof(f677,plain,(
% 12.67/2.03 ~spl0_7),
% 12.67/2.03 inference(contradiction_clause,[status(thm)],[f676])).
% 12.67/2.03 fof(f678,plain,(
% 12.67/2.03 ![X0,X1]: (~subclass(unordered_pair(X0,z),X1)|~spl0_8)),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f363,f119])).
% 12.67/2.03 fof(f679,plain,(
% 12.67/2.03 ![X0,X1]: (~subclass(unordered_pair(z,X0),X1)|~spl0_9)),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f376,f119])).
% 12.67/2.03 fof(f712,plain,(
% 12.67/2.03 $false|~spl0_19|~spl0_2),
% 12.67/2.03 inference(backward_subsumption_resolution,[status(thm)],[f290,f600])).
% 12.67/2.03 fof(f713,plain,(
% 12.67/2.03 ~spl0_19|~spl0_2),
% 12.67/2.03 inference(contradiction_clause,[status(thm)],[f712])).
% 12.67/2.03 fof(f718,plain,(
% 12.67/2.03 ![X0]: (~member(z,domain_of(intersection(X0,identity_relation)))|~spl0_28)),
% 12.67/2.03 inference(resolution,[status(thm)],[f657,f253])).
% 12.67/2.03 fof(f719,plain,(
% 12.67/2.03 $false|~spl0_28),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f718,f657])).
% 12.67/2.03 fof(f720,plain,(
% 12.67/2.03 ~spl0_28),
% 12.67/2.03 inference(contradiction_clause,[status(thm)],[f719])).
% 12.67/2.03 fof(f722,plain,(
% 12.67/2.03 ![X0,X1]: (member(z,X0)|~subclass(complement(X0),X1)|member(z,X1)|~spl0_17)),
% 12.67/2.03 inference(resolution,[status(thm)],[f570,f116])).
% 12.67/2.03 fof(f733,plain,(
% 12.67/2.03 ![X0,X1,X2]: (member(z,X0)|~subclass(complement(X0),intersection(X1,X2))|member(z,X1)|~spl0_17)),
% 12.67/2.03 inference(resolution,[status(thm)],[f722,f143])).
% 12.67/2.03 fof(f741,plain,(
% 12.67/2.03 $false|~spl0_14),
% 12.67/2.03 inference(resolution,[status(thm)],[f672,f119])).
% 12.67/2.03 fof(f742,plain,(
% 12.67/2.03 ~spl0_14),
% 12.67/2.03 inference(contradiction_clause,[status(thm)],[f741])).
% 12.67/2.03 fof(f743,plain,(
% 12.67/2.03 $false|~spl0_15),
% 12.67/2.03 inference(resolution,[status(thm)],[f673,f119])).
% 12.67/2.03 fof(f744,plain,(
% 12.67/2.03 ~spl0_15),
% 12.67/2.03 inference(contradiction_clause,[status(thm)],[f743])).
% 12.67/2.03 fof(f745,plain,(
% 12.67/2.03 $false|~spl0_8),
% 12.67/2.03 inference(resolution,[status(thm)],[f678,f119])).
% 12.67/2.03 fof(f746,plain,(
% 12.67/2.03 ~spl0_8),
% 12.67/2.03 inference(contradiction_clause,[status(thm)],[f745])).
% 12.67/2.03 fof(f753,plain,(
% 12.67/2.03 $false|~spl0_9),
% 12.67/2.03 inference(resolution,[status(thm)],[f679,f119])).
% 12.67/2.03 fof(f754,plain,(
% 12.67/2.03 ~spl0_9),
% 12.67/2.03 inference(contradiction_clause,[status(thm)],[f753])).
% 12.67/2.03 fof(f758,plain,(
% 12.67/2.03 spl0_33 <=> member(z,universal_class)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f759,plain,(
% 12.67/2.03 member(z,universal_class)|~spl0_33),
% 12.67/2.03 inference(component_clause,[status(thm)],[f758])).
% 12.67/2.03 fof(f771,plain,(
% 12.67/2.03 spl0_36 <=> member(z,X0)|~subclass(complement(X0),null_class)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f772,plain,(
% 12.67/2.03 ![X0]: (member(z,X0)|~subclass(complement(X0),null_class)|~spl0_36)),
% 12.67/2.03 inference(component_clause,[status(thm)],[f771])).
% 12.67/2.03 fof(f781,plain,(
% 12.67/2.03 spl0_38 <=> member(z,null_class)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f782,plain,(
% 12.67/2.03 member(z,null_class)|~spl0_38),
% 12.67/2.03 inference(component_clause,[status(thm)],[f781])).
% 12.67/2.03 fof(f795,plain,(
% 12.67/2.03 ![X0]: (~member(X0,null_class)|~member(X0,universal_class)|~spl0_27)),
% 12.67/2.03 inference(paramodulation,[status(thm)],[f651,f147])).
% 12.67/2.03 fof(f797,plain,(
% 12.67/2.03 complement(universal_class)=null_class|~spl0_26),
% 12.67/2.03 inference(resolution,[status(thm)],[f648,f189])).
% 12.67/2.03 fof(f825,plain,(
% 12.67/2.03 spl0_40 <=> member(regular(null_class),X0)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f826,plain,(
% 12.67/2.03 ![X0]: (member(regular(null_class),X0)|~spl0_40)),
% 12.67/2.03 inference(component_clause,[status(thm)],[f825])).
% 12.67/2.03 fof(f839,plain,(
% 12.67/2.03 ![X0]: (~member(regular(null_class),domain_of(intersection(X0,identity_relation)))|~spl0_40)),
% 12.67/2.03 inference(resolution,[status(thm)],[f826,f253])).
% 12.67/2.03 fof(f840,plain,(
% 12.67/2.03 $false|~spl0_40),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f839,f826])).
% 12.67/2.03 fof(f841,plain,(
% 12.67/2.03 ~spl0_40),
% 12.67/2.03 inference(contradiction_clause,[status(thm)],[f840])).
% 12.67/2.03 fof(f857,plain,(
% 12.67/2.03 ![X0]: (~member(regular(complement(universal_class)),domain_of(intersection(X0,identity_relation)))|~spl0_25)),
% 12.67/2.03 inference(resolution,[status(thm)],[f645,f253])).
% 12.67/2.03 fof(f858,plain,(
% 12.67/2.03 $false|~spl0_25),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f857,f645])).
% 12.67/2.03 fof(f859,plain,(
% 12.67/2.03 ~spl0_25),
% 12.67/2.03 inference(contradiction_clause,[status(thm)],[f858])).
% 12.67/2.03 fof(f877,plain,(
% 12.67/2.03 ![X0]: (~subclass(universal_class,X0)|member(z,X0)|~spl0_33)),
% 12.67/2.03 inference(resolution,[status(thm)],[f759,f116])).
% 12.67/2.03 fof(f880,plain,(
% 12.67/2.03 ![X0,X1]: (~subclass(universal_class,intersection(X0,X1))|member(z,X0)|~spl0_33)),
% 12.67/2.03 inference(resolution,[status(thm)],[f877,f143])).
% 12.67/2.03 fof(f883,plain,(
% 12.67/2.03 ![X0,X1]: (~subclass(universal_class,X0)|~subclass(X0,X1)|member(z,X1)|~spl0_33)),
% 12.67/2.03 inference(resolution,[status(thm)],[f877,f116])).
% 12.67/2.03 fof(f884,plain,(
% 12.67/2.03 spl0_42 <=> subclass(universal_class,null_class)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f889,plain,(
% 12.67/2.03 spl0_43 <=> ~subclass(unordered_pair(X0,z),null_class)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f890,plain,(
% 12.67/2.03 ![X0]: (~subclass(unordered_pair(X0,z),null_class)|~spl0_43)),
% 12.67/2.03 inference(component_clause,[status(thm)],[f889])).
% 12.67/2.03 fof(f892,plain,(
% 12.67/2.03 ![X0]: (~member(z,universal_class)|~subclass(unordered_pair(X0,z),null_class)|~spl0_27|~spl0_5)),
% 12.67/2.03 inference(resolution,[status(thm)],[f795,f331])).
% 12.67/2.03 fof(f893,plain,(
% 12.67/2.03 ~spl0_33|spl0_43|~spl0_27|~spl0_5),
% 12.67/2.03 inference(split_clause,[status(thm)],[f892,f758,f889,f650,f304])).
% 12.67/2.03 fof(f915,plain,(
% 12.67/2.03 ![X0,X1]: (~member(X0,universal_class)|~subclass(X1,null_class)|~member(X0,X1)|~spl0_27)),
% 12.67/2.03 inference(resolution,[status(thm)],[f795,f116])).
% 12.67/2.03 fof(f932,plain,(
% 12.67/2.03 spl0_49 <=> subclass(z,null_class)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f948,plain,(
% 12.67/2.03 spl0_50 <=> subclass(diagonalise(element_relation),null_class)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f982,plain,(
% 12.67/2.03 member(null_class,omega)),
% 12.67/2.03 inference(resolution,[status(thm)],[f173,f170])).
% 12.67/2.03 fof(f983,plain,(
% 12.67/2.03 ![X0]: (~subclass(universal_class,X0)|member(omega,X0))),
% 12.67/2.03 inference(resolution,[status(thm)],[f175,f116])).
% 12.67/2.03 fof(f984,plain,(
% 12.67/2.03 ![X0]: (~subclass(omega,X0)|member(null_class,X0))),
% 12.67/2.03 inference(resolution,[status(thm)],[f982,f116])).
% 12.67/2.03 fof(f996,plain,(
% 12.67/2.03 ![X0,X1]: (member(X0,singleton(X0))|~member(X0,X1))),
% 12.67/2.03 inference(paramodulation,[status(thm)],[f130,f627])).
% 12.67/2.03 fof(f1011,plain,(
% 12.67/2.03 spl0_51 <=> z=z),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f1014,plain,(
% 12.67/2.03 spl0_52 <=> z=X0),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f1015,plain,(
% 12.67/2.03 ![X0]: (z=X0|~spl0_52)),
% 12.67/2.03 inference(component_clause,[status(thm)],[f1014])).
% 12.67/2.03 fof(f1017,plain,(
% 12.67/2.03 ![X0]: (z=z|z=X0|~spl0_2)),
% 12.67/2.03 inference(resolution,[status(thm)],[f124,f290])).
% 12.67/2.03 fof(f1018,plain,(
% 12.67/2.03 spl0_51|spl0_52|~spl0_2),
% 12.67/2.03 inference(split_clause,[status(thm)],[f1017,f1011,f1014,f289])).
% 12.67/2.03 fof(f1029,plain,(
% 12.67/2.03 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 12.67/2.03 inference(paramodulation,[status(thm)],[f130,f124])).
% 12.67/2.03 fof(f1030,plain,(
% 12.67/2.03 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 12.67/2.03 inference(duplicate_literals_removal,[status(esa)],[f1029])).
% 12.67/2.03 fof(f1060,plain,(
% 12.67/2.03 ![X0]: (member(z,X0)|~spl0_52)),
% 12.67/2.03 inference(paramodulation,[status(thm)],[f1015,f247])).
% 12.67/2.03 fof(f1061,plain,(
% 12.67/2.03 spl0_28|~spl0_52),
% 12.67/2.03 inference(split_clause,[status(thm)],[f1060,f656,f1014])).
% 12.67/2.03 fof(f1085,plain,(
% 12.67/2.03 spl0_54 <=> ~subclass(unordered_pair(z,X0),null_class)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f1086,plain,(
% 12.67/2.03 ![X0]: (~subclass(unordered_pair(z,X0),null_class)|~spl0_54)),
% 12.67/2.03 inference(component_clause,[status(thm)],[f1085])).
% 12.67/2.03 fof(f1097,plain,(
% 12.67/2.03 ~subclass(singleton(z),null_class)|~spl0_43),
% 12.67/2.03 inference(paramodulation,[status(thm)],[f130,f890])).
% 12.67/2.03 fof(f1099,plain,(
% 12.67/2.03 spl0_55 <=> subclass(null_class,null_class)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f1101,plain,(
% 12.67/2.03 ~subclass(null_class,null_class)|spl0_55),
% 12.67/2.03 inference(component_clause,[status(thm)],[f1099])).
% 12.67/2.03 fof(f1102,plain,(
% 12.67/2.03 member(z,universal_class)|~subclass(null_class,null_class)|~spl0_36|~spl0_27),
% 12.67/2.03 inference(paramodulation,[status(thm)],[f651,f772])).
% 12.67/2.03 fof(f1103,plain,(
% 12.67/2.03 spl0_33|~spl0_55|~spl0_36|~spl0_27),
% 12.67/2.03 inference(split_clause,[status(thm)],[f1102,f758,f1099,f771,f650])).
% 12.67/2.03 fof(f1108,plain,(
% 12.67/2.03 ![X0]: (~subclass(unordered_pair(z,X0),universal_class)|~spl0_1|~spl0_54)),
% 12.67/2.03 inference(backward_demodulation,[status(thm)],[f284,f1086])).
% 12.67/2.03 fof(f1109,plain,(
% 12.67/2.03 spl0_7|~spl0_1|~spl0_54),
% 12.67/2.03 inference(split_clause,[status(thm)],[f1108,f347,f283,f1085])).
% 12.67/2.03 fof(f1110,plain,(
% 12.67/2.03 ~subclass(singleton(z),universal_class)|~spl0_1|~spl0_43),
% 12.67/2.03 inference(backward_demodulation,[status(thm)],[f284,f1097])).
% 12.67/2.03 fof(f1111,plain,(
% 12.67/2.03 $false|~spl0_1|~spl0_43),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f1110,f119])).
% 12.67/2.03 fof(f1112,plain,(
% 12.67/2.03 ~spl0_1|~spl0_43),
% 12.67/2.03 inference(contradiction_clause,[status(thm)],[f1111])).
% 12.67/2.03 fof(f1120,plain,(
% 12.67/2.03 spl0_27|~spl0_26),
% 12.67/2.03 inference(split_clause,[status(thm)],[f797,f650,f647])).
% 12.67/2.03 fof(f1241,plain,(
% 12.67/2.03 ![X0,X1]: (~subclass(z,X0)|~subclass(X0,complement(X1))|~member(z,X1))),
% 12.67/2.03 inference(resolution,[status(thm)],[f279,f147])).
% 12.67/2.03 fof(f1269,plain,(
% 12.67/2.03 spl0_60 <=> ~subclass(z,X0)|~subclass(X0,complement(singleton(z)))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f1272,plain,(
% 12.67/2.03 ![X0,X1]: (~subclass(z,X0)|~subclass(X0,complement(singleton(z)))|~member(z,X1))),
% 12.67/2.03 inference(resolution,[status(thm)],[f496,f996])).
% 12.67/2.03 fof(f1273,plain,(
% 12.67/2.03 spl0_60|spl0_19),
% 12.67/2.03 inference(split_clause,[status(thm)],[f1272,f1269,f599])).
% 12.67/2.03 fof(f1274,plain,(
% 12.67/2.03 spl0_61 <=> ~subclass(z,X0)|~subclass(X0,complement(universal_class))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f1279,plain,(
% 12.67/2.03 spl0_62 <=> ~subclass(z,X0)|~subclass(X0,complement(unordered_pair(X1,z)))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f1282,plain,(
% 12.67/2.03 ![X0,X1,X2]: (~subclass(z,X0)|~subclass(X0,complement(unordered_pair(X1,z)))|~member(z,X2))),
% 12.67/2.03 inference(resolution,[status(thm)],[f496,f627])).
% 12.67/2.03 fof(f1283,plain,(
% 12.67/2.03 spl0_62|spl0_19),
% 12.67/2.03 inference(split_clause,[status(thm)],[f1282,f1279,f599])).
% 12.67/2.03 fof(f1284,plain,(
% 12.67/2.03 spl0_63 <=> ~subclass(z,X0)|~subclass(X0,complement(unordered_pair(z,X1)))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f1287,plain,(
% 12.67/2.03 ![X0,X1,X2]: (~subclass(z,X0)|~subclass(X0,complement(unordered_pair(z,X1)))|~member(z,X2))),
% 12.67/2.03 inference(resolution,[status(thm)],[f496,f614])).
% 12.67/2.03 fof(f1288,plain,(
% 12.67/2.03 spl0_63|spl0_19),
% 12.67/2.03 inference(split_clause,[status(thm)],[f1287,f1284,f599])).
% 12.67/2.03 fof(f1289,plain,(
% 12.67/2.03 spl0_64 <=> ~subclass(z,X0)|~subclass(X0,complement(complement(X1)))|member(z,X1)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f1292,plain,(
% 12.67/2.03 ![X0,X1,X2]: (~subclass(z,X0)|~subclass(X0,complement(complement(X1)))|member(z,X1)|~member(z,X2))),
% 12.67/2.03 inference(resolution,[status(thm)],[f496,f589])).
% 12.67/2.03 fof(f1293,plain,(
% 12.67/2.03 spl0_64|spl0_19),
% 12.67/2.03 inference(split_clause,[status(thm)],[f1292,f1289,f599])).
% 12.67/2.03 fof(f1327,plain,(
% 12.67/2.03 ![X0,X1,X2]: (~member(X0,universal_class)|~member(X1,universal_class)|~subclass(element_relation,X2)|member(ordered_pair(X0,X1),X2)|~member(X0,X1))),
% 12.67/2.03 inference(resolution,[status(thm)],[f136,f262])).
% 12.67/2.03 fof(f1328,plain,(
% 12.67/2.03 spl0_65 <=> ~member(X0,X1)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f1329,plain,(
% 12.67/2.03 ![X0,X1]: (~member(X0,X1)|~spl0_65)),
% 12.67/2.03 inference(component_clause,[status(thm)],[f1328])).
% 12.67/2.03 fof(f1331,plain,(
% 12.67/2.03 spl0_66 <=> ~member(X2,X3)|member(X2,X3)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f1334,plain,(
% 12.67/2.03 ![X0,X1,X2,X3]: (~member(X0,X1)|~member(X2,X3)|member(X2,X3))),
% 12.67/2.03 inference(resolution,[status(thm)],[f136,f135])).
% 12.67/2.03 fof(f1335,plain,(
% 12.67/2.03 spl0_65|spl0_66),
% 12.67/2.03 inference(split_clause,[status(thm)],[f1334,f1328,f1331])).
% 12.67/2.03 fof(f1457,plain,(
% 12.67/2.03 ![X0,X1,X2]: (member(unordered_pair(X0,X1),X2)|~spl0_65)),
% 12.67/2.03 inference(backward_subsumption_resolution,[status(thm)],[f568,f1329])).
% 12.67/2.03 fof(f1458,plain,(
% 12.67/2.03 $false|~spl0_65),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f1457,f1329])).
% 12.67/2.03 fof(f1459,plain,(
% 12.67/2.03 ~spl0_65),
% 12.67/2.03 inference(contradiction_clause,[status(thm)],[f1458])).
% 12.67/2.03 fof(f1626,plain,(
% 12.67/2.03 ![X0,X1,X2,X3]: (~member(X0,restrict(X1,X2,X3))|member(X0,X1))),
% 12.67/2.03 inference(paramodulation,[status(thm)],[f151,f143])).
% 12.67/2.03 fof(f1747,plain,(
% 12.67/2.03 spl0_84 <=> subclass(singleton(z),domain_of(intersection(element_relation,identity_relation)))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f1750,plain,(
% 12.67/2.03 ![X0]: (~subclass(singleton(z),domain_of(intersection(element_relation,identity_relation)))|~member(z,X0))),
% 12.67/2.03 inference(resolution,[status(thm)],[f266,f996])).
% 12.67/2.03 fof(f1751,plain,(
% 12.67/2.03 ~spl0_84|spl0_19),
% 12.67/2.03 inference(split_clause,[status(thm)],[f1750,f1747,f599])).
% 12.67/2.03 fof(f1825,plain,(
% 12.67/2.03 ![X0,X1,X2,X3,X4]: (member(X0,X1)|~subclass(X2,restrict(X1,X3,X4))|~member(X0,X2))),
% 12.67/2.03 inference(resolution,[status(thm)],[f1626,f116])).
% 12.67/2.03 fof(f1836,plain,(
% 12.67/2.03 ![X0,X1,X2,X3]: (member(X0,union(X1,X2))|member(X0,intersection(complement(X1),complement(X2)))|~member(X0,X3))),
% 12.67/2.03 inference(paramodulation,[status(thm)],[f149,f589])).
% 12.67/2.03 fof(f1906,plain,(
% 12.67/2.03 spl0_87 <=> subclass(universal_class,universal_class)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f1908,plain,(
% 12.67/2.03 ~subclass(universal_class,universal_class)|spl0_87),
% 12.67/2.03 inference(component_clause,[status(thm)],[f1906])).
% 12.67/2.03 fof(f1916,plain,(
% 12.67/2.03 spl0_88 <=> restrict(X0,singleton(z),universal_class)=null_class|member(z,domain_of(X0))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f1921,plain,(
% 12.67/2.03 spl0_89 <=> subclass(singleton(z),universal_class)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f1923,plain,(
% 12.67/2.03 ~subclass(singleton(z),universal_class)|spl0_89),
% 12.67/2.03 inference(component_clause,[status(thm)],[f1921])).
% 12.67/2.03 fof(f1932,plain,(
% 12.67/2.03 spl0_90 <=> member(z,X1)|~subclass(complement(X1),universal_class)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f1933,plain,(
% 12.67/2.03 ![X0]: (member(z,X0)|~subclass(complement(X0),universal_class)|~spl0_90)),
% 12.67/2.03 inference(component_clause,[status(thm)],[f1932])).
% 12.67/2.03 fof(f1935,plain,(
% 12.67/2.03 ![X0,X1]: (restrict(X0,singleton(z),universal_class)=null_class|member(z,domain_of(X0))|member(z,X1)|~subclass(complement(X1),universal_class)|~spl0_17)),
% 12.67/2.03 inference(resolution,[status(thm)],[f154,f722])).
% 12.67/2.03 fof(f1936,plain,(
% 12.67/2.03 spl0_88|spl0_90|~spl0_17),
% 12.67/2.03 inference(split_clause,[status(thm)],[f1935,f1916,f1932,f569])).
% 12.67/2.03 fof(f2024,plain,(
% 12.67/2.03 ![X0,X1,X2]: (~subclass(X0,null_class)|~member(X1,X0)|~subclass(X2,universal_class)|~member(X1,X2)|~spl0_27)),
% 12.67/2.03 inference(resolution,[status(thm)],[f915,f116])).
% 12.67/2.03 fof(f2025,plain,(
% 12.67/2.03 ![X0,X1,X2]: (~subclass(X0,null_class)|~member(X1,X0)|~member(X1,X2)|~spl0_27)),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f2024,f119])).
% 12.67/2.03 fof(f2165,plain,(
% 12.67/2.03 ![X0,X1,X2]: (~subclass(z,X0)|~subclass(X0,intersection(X1,complement(X2)))|~member(z,X2))),
% 12.67/2.03 inference(resolution,[status(thm)],[f493,f147])).
% 12.67/2.03 fof(f2453,plain,(
% 12.67/2.03 spl0_101 <=> ~subclass(diagonalise(element_relation),X0)|~subclass(X0,complement(universal_class))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f2459,plain,(
% 12.67/2.03 spl0_102 <=> ~subclass(diagonalise(element_relation),X0)|~subclass(X0,complement(complement(X1)))|member(z,X1)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f2462,plain,(
% 12.67/2.03 ![X0,X1,X2]: (~subclass(diagonalise(element_relation),X0)|~subclass(X0,complement(complement(X1)))|member(z,X1)|~member(z,X2))),
% 12.67/2.03 inference(resolution,[status(thm)],[f528,f589])).
% 12.67/2.03 fof(f2463,plain,(
% 12.67/2.03 spl0_102|spl0_19),
% 12.67/2.03 inference(split_clause,[status(thm)],[f2462,f2459,f599])).
% 12.67/2.03 fof(f2464,plain,(
% 12.67/2.03 spl0_103 <=> ~subclass(diagonalise(element_relation),X0)|~subclass(X0,complement(unordered_pair(z,X1)))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f2467,plain,(
% 12.67/2.03 ![X0,X1,X2]: (~subclass(diagonalise(element_relation),X0)|~subclass(X0,complement(unordered_pair(z,X1)))|~member(z,X2))),
% 12.67/2.03 inference(resolution,[status(thm)],[f528,f614])).
% 12.67/2.03 fof(f2468,plain,(
% 12.67/2.03 spl0_103|spl0_19),
% 12.67/2.03 inference(split_clause,[status(thm)],[f2467,f2464,f599])).
% 12.67/2.03 fof(f2469,plain,(
% 12.67/2.03 spl0_104 <=> ~subclass(diagonalise(element_relation),X0)|~subclass(X0,complement(unordered_pair(X1,z)))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f2472,plain,(
% 12.67/2.03 ![X0,X1,X2]: (~subclass(diagonalise(element_relation),X0)|~subclass(X0,complement(unordered_pair(X1,z)))|~member(z,X2))),
% 12.67/2.03 inference(resolution,[status(thm)],[f528,f627])).
% 12.67/2.03 fof(f2473,plain,(
% 12.67/2.03 spl0_104|spl0_19),
% 12.67/2.03 inference(split_clause,[status(thm)],[f2472,f2469,f599])).
% 12.67/2.03 fof(f2474,plain,(
% 12.67/2.03 spl0_105 <=> ~subclass(diagonalise(element_relation),X0)|~subclass(X0,complement(singleton(z)))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f2477,plain,(
% 12.67/2.03 ![X0,X1]: (~subclass(diagonalise(element_relation),X0)|~subclass(X0,complement(singleton(z)))|~member(z,X1))),
% 12.67/2.03 inference(resolution,[status(thm)],[f528,f996])).
% 12.67/2.03 fof(f2478,plain,(
% 12.67/2.03 spl0_105|spl0_19),
% 12.67/2.03 inference(split_clause,[status(thm)],[f2477,f2474,f599])).
% 12.67/2.03 fof(f2499,plain,(
% 12.67/2.03 spl0_106 <=> member(z,intersection(complement(X0),complement(X1)))|~subclass(diagonalise(element_relation),X3)|~subclass(X3,complement(union(X0,X1)))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f2502,plain,(
% 12.67/2.03 ![X0,X1,X2,X3]: (member(z,intersection(complement(X0),complement(X1)))|~member(z,X2)|~subclass(diagonalise(element_relation),X3)|~subclass(X3,complement(union(X0,X1))))),
% 12.67/2.03 inference(resolution,[status(thm)],[f1836,f528])).
% 12.67/2.03 fof(f2503,plain,(
% 12.67/2.03 spl0_106|spl0_19),
% 12.67/2.03 inference(split_clause,[status(thm)],[f2502,f2499,f599])).
% 12.67/2.03 fof(f2509,plain,(
% 12.67/2.03 spl0_108 <=> member(z,intersection(complement(X0),complement(X1)))|~subclass(z,X3)|~subclass(X3,complement(union(X0,X1)))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f2512,plain,(
% 12.67/2.03 ![X0,X1,X2,X3]: (member(z,intersection(complement(X0),complement(X1)))|~member(z,X2)|~subclass(z,X3)|~subclass(X3,complement(union(X0,X1))))),
% 12.67/2.03 inference(resolution,[status(thm)],[f1836,f1241])).
% 12.67/2.03 fof(f2513,plain,(
% 12.67/2.03 spl0_108|spl0_19),
% 12.67/2.03 inference(split_clause,[status(thm)],[f2512,f2509,f599])).
% 12.67/2.03 fof(f2514,plain,(
% 12.67/2.03 spl0_109 <=> member(z,intersection(complement(X0),complement(X1)))|~subclass(union(X0,X1),domain_of(intersection(element_relation,identity_relation)))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f2517,plain,(
% 12.67/2.03 ![X0,X1,X2]: (member(z,intersection(complement(X0),complement(X1)))|~member(z,X2)|~subclass(union(X0,X1),domain_of(intersection(element_relation,identity_relation))))),
% 12.67/2.03 inference(resolution,[status(thm)],[f1836,f266])).
% 12.67/2.03 fof(f2518,plain,(
% 12.67/2.03 spl0_109|spl0_19),
% 12.67/2.03 inference(split_clause,[status(thm)],[f2517,f2514,f599])).
% 12.67/2.03 fof(f2548,plain,(
% 12.67/2.03 ![X0]: (regular(singleton(X0))=X0|singleton(X0)=null_class)),
% 12.67/2.03 inference(resolution,[status(thm)],[f1030,f189])).
% 12.67/2.03 fof(f2693,plain,(
% 12.67/2.03 ![X0,X1]: (~member(X0,null_class)|~member(X0,X1)|~spl0_27)),
% 12.67/2.03 inference(resolution,[status(thm)],[f2025,f248])).
% 12.67/2.03 fof(f2712,plain,(
% 12.67/2.03 ![X0,X1]: (~member(z,X0)|~subclass(unordered_pair(z,X1),null_class)|~spl0_27|~spl0_2)),
% 12.67/2.03 inference(resolution,[status(thm)],[f2693,f345])).
% 12.67/2.03 fof(f2713,plain,(
% 12.67/2.03 spl0_19|spl0_54|~spl0_27|~spl0_2),
% 12.67/2.03 inference(split_clause,[status(thm)],[f2712,f599,f1085,f650,f289])).
% 12.67/2.03 fof(f2791,plain,(
% 12.67/2.03 ![X0,X1]: (~member(z,X0)|~subclass(diagonalise(element_relation),X1)|~subclass(X1,complement(universal_class)))),
% 12.67/2.03 inference(resolution,[status(thm)],[f626,f528])).
% 12.67/2.03 fof(f2792,plain,(
% 12.67/2.03 spl0_19|spl0_101),
% 12.67/2.03 inference(split_clause,[status(thm)],[f2791,f599,f2453])).
% 12.67/2.03 fof(f2795,plain,(
% 12.67/2.03 ![X0,X1]: (~member(z,X0)|~subclass(z,X1)|~subclass(X1,complement(universal_class)))),
% 12.67/2.03 inference(resolution,[status(thm)],[f626,f1241])).
% 12.67/2.03 fof(f2796,plain,(
% 12.67/2.03 spl0_19|spl0_61),
% 12.67/2.03 inference(split_clause,[status(thm)],[f2795,f599,f1274])).
% 12.67/2.03 fof(f2797,plain,(
% 12.67/2.03 ![X0]: (~member(z,X0)|~subclass(universal_class,domain_of(intersection(element_relation,identity_relation))))),
% 12.67/2.03 inference(resolution,[status(thm)],[f626,f266])).
% 12.67/2.03 fof(f2798,plain,(
% 12.67/2.03 spl0_19|~spl0_29),
% 12.67/2.03 inference(split_clause,[status(thm)],[f2797,f599,f659])).
% 12.67/2.03 fof(f2801,plain,(
% 12.67/2.03 ![X0]: (~member(regular(complement(universal_class)),X0)|complement(universal_class)=null_class)),
% 12.67/2.03 inference(resolution,[status(thm)],[f626,f252])).
% 12.67/2.03 fof(f2802,plain,(
% 12.67/2.03 spl0_26|spl0_27),
% 12.67/2.03 inference(split_clause,[status(thm)],[f2801,f647,f650])).
% 12.67/2.03 fof(f3211,plain,(
% 12.67/2.03 spl0_162 <=> member(z,X0)|X0=null_class),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f3212,plain,(
% 12.67/2.03 ![X0]: (member(z,X0)|X0=null_class|~spl0_162)),
% 12.67/2.03 inference(component_clause,[status(thm)],[f3211])).
% 12.67/2.03 fof(f3214,plain,(
% 12.67/2.03 ![X0]: (~subclass(universal_class,null_class)|member(z,X0)|X0=null_class|~spl0_33)),
% 12.67/2.03 inference(paramodulation,[status(thm)],[f190,f880])).
% 12.67/2.03 fof(f3215,plain,(
% 12.67/2.03 ~spl0_42|spl0_162|~spl0_33),
% 12.67/2.03 inference(split_clause,[status(thm)],[f3214,f884,f3211,f758])).
% 12.67/2.03 fof(f3221,plain,(
% 12.67/2.03 ![X0,X1]: (~member(X0,X1)|~member(X0,regular(X1))|member(X0,null_class)|X1=null_class)),
% 12.67/2.03 inference(paramodulation,[status(thm)],[f190,f146])).
% 12.67/2.03 fof(f3222,plain,(
% 12.67/2.03 ![X0,X1]: (~member(X0,X1)|~member(X0,regular(X1))|X1=null_class|~spl0_27)),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f3221,f2693])).
% 12.67/2.03 fof(f3223,plain,(
% 12.67/2.03 ![X0]: (~subclass(diagonalise(element_relation),null_class)|member(z,X0)|X0=null_class)),
% 12.67/2.03 inference(paramodulation,[status(thm)],[f190,f469])).
% 12.67/2.03 fof(f3224,plain,(
% 12.67/2.03 ~spl0_50|spl0_162),
% 12.67/2.03 inference(split_clause,[status(thm)],[f3223,f948,f3211])).
% 12.67/2.03 fof(f3228,plain,(
% 12.67/2.03 ![X0,X1]: (~member(X0,null_class)|member(X0,X1)|X1=null_class)),
% 12.67/2.03 inference(paramodulation,[status(thm)],[f190,f143])).
% 12.67/2.03 fof(f3229,plain,(
% 12.67/2.03 ![X0,X1]: (~member(X0,null_class)|X1=null_class|~spl0_27)),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f3228,f2693])).
% 12.67/2.03 fof(f3232,plain,(
% 12.67/2.03 ![X0]: (~subclass(z,null_class)|member(z,X0)|X0=null_class)),
% 12.67/2.03 inference(paramodulation,[status(thm)],[f190,f276])).
% 12.67/2.03 fof(f3233,plain,(
% 12.67/2.03 ~spl0_49|spl0_162),
% 12.67/2.03 inference(split_clause,[status(thm)],[f3232,f932,f3211])).
% 12.67/2.03 fof(f3238,plain,(
% 12.67/2.03 ![X0,X1]: (member(z,X0)|~subclass(complement(X0),null_class)|member(z,X1)|X1=null_class|~spl0_17)),
% 12.67/2.03 inference(paramodulation,[status(thm)],[f190,f733])).
% 12.67/2.03 fof(f3239,plain,(
% 12.67/2.03 spl0_36|spl0_162|~spl0_17),
% 12.67/2.03 inference(split_clause,[status(thm)],[f3238,f771,f3211,f569])).
% 12.67/2.03 fof(f3247,plain,(
% 12.67/2.03 ![X0,X1,X2,X3,X4,X5]: (~maps(X0,X1,restrict(X2,X3,X4))|member(X5,X2)|~member(X5,range_of(X0)))),
% 12.67/2.03 inference(resolution,[status(thm)],[f244,f1825])).
% 12.67/2.03 fof(f3276,plain,(
% 12.67/2.03 ![X0,X1,X2,X3,X4,X5,X6]: (~maps(restrict(X0,X1,universal_class),X2,restrict(X3,X4,X5))|member(X6,X3)|~member(X6,image(X0,X1)))),
% 12.67/2.03 inference(paramodulation,[status(thm)],[f165,f3247])).
% 12.67/2.03 fof(f3352,plain,(
% 12.67/2.03 spl0_169 <=> X0=null_class),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f3353,plain,(
% 12.67/2.03 ![X0]: (X0=null_class|~spl0_169)),
% 12.67/2.03 inference(component_clause,[status(thm)],[f3352])).
% 12.67/2.03 fof(f3405,plain,(
% 12.67/2.03 $false|~spl0_169|spl0_1),
% 12.67/2.03 inference(backward_subsumption_resolution,[status(thm)],[f285,f3353])).
% 12.67/2.03 fof(f3406,plain,(
% 12.67/2.03 ~spl0_169|spl0_1),
% 12.67/2.03 inference(contradiction_clause,[status(thm)],[f3405])).
% 12.67/2.03 fof(f3407,plain,(
% 12.67/2.03 spl0_171 <=> ~member(X0,null_class)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f3408,plain,(
% 12.67/2.03 ![X0]: (~member(X0,null_class)|~spl0_171)),
% 12.67/2.03 inference(component_clause,[status(thm)],[f3407])).
% 12.67/2.03 fof(f3410,plain,(
% 12.67/2.03 spl0_171|spl0_169|~spl0_27),
% 12.67/2.03 inference(split_clause,[status(thm)],[f3229,f3407,f3352,f650])).
% 12.67/2.03 fof(f3543,plain,(
% 12.67/2.03 spl0_173 <=> member(z,domain_of(intersection(X0,identity_relation)))|~subclass(diagonalise(element_relation),X2)|~subclass(X2,complement(diagonalise(X0)))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f3546,plain,(
% 12.67/2.03 ![X0,X1,X2]: (member(z,domain_of(intersection(X0,identity_relation)))|~member(z,X1)|~subclass(diagonalise(element_relation),X2)|~subclass(X2,complement(diagonalise(X0))))),
% 12.67/2.03 inference(resolution,[status(thm)],[f610,f528])).
% 12.67/2.03 fof(f3547,plain,(
% 12.67/2.03 spl0_173|spl0_19),
% 12.67/2.03 inference(split_clause,[status(thm)],[f3546,f3543,f599])).
% 12.67/2.03 fof(f3553,plain,(
% 12.67/2.03 spl0_175 <=> member(z,domain_of(intersection(X0,identity_relation)))|~subclass(z,X2)|~subclass(X2,complement(diagonalise(X0)))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f3556,plain,(
% 12.67/2.03 ![X0,X1,X2]: (member(z,domain_of(intersection(X0,identity_relation)))|~member(z,X1)|~subclass(z,X2)|~subclass(X2,complement(diagonalise(X0))))),
% 12.67/2.03 inference(resolution,[status(thm)],[f610,f1241])).
% 12.67/2.03 fof(f3557,plain,(
% 12.67/2.03 spl0_175|spl0_19),
% 12.67/2.03 inference(split_clause,[status(thm)],[f3556,f3553,f599])).
% 12.67/2.03 fof(f3558,plain,(
% 12.67/2.03 spl0_176 <=> member(z,domain_of(intersection(X0,identity_relation)))|~subclass(diagonalise(X0),domain_of(intersection(element_relation,identity_relation)))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f3561,plain,(
% 12.67/2.03 ![X0,X1]: (member(z,domain_of(intersection(X0,identity_relation)))|~member(z,X1)|~subclass(diagonalise(X0),domain_of(intersection(element_relation,identity_relation))))),
% 12.67/2.03 inference(resolution,[status(thm)],[f610,f266])).
% 12.67/2.03 fof(f3562,plain,(
% 12.67/2.03 spl0_176|spl0_19),
% 12.67/2.03 inference(split_clause,[status(thm)],[f3561,f3558,f599])).
% 12.67/2.03 fof(f3618,plain,(
% 12.67/2.03 ![X0,X1,X2,X3,X4,X5,X6]: (~maps(restrict(X0,X1,universal_class),X2,restrict(X3,X4,X5))|member(z,X3)|~subclass(universal_class,X6)|~subclass(X6,image(X0,X1))|~spl0_33)),
% 12.67/2.03 inference(resolution,[status(thm)],[f3276,f883])).
% 12.67/2.03 fof(f3960,plain,(
% 12.67/2.03 spl0_197 <=> ~subclass(z,X0)|~subclass(X0,intersection(X1,complement(diagonalise(X2))))|member(z,domain_of(intersection(X2,identity_relation)))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f3963,plain,(
% 12.67/2.03 ![X0,X1,X2,X3]: (~subclass(z,X0)|~subclass(X0,intersection(X1,complement(diagonalise(X2))))|member(z,domain_of(intersection(X2,identity_relation)))|~member(z,X3))),
% 12.67/2.03 inference(resolution,[status(thm)],[f2165,f610])).
% 12.67/2.03 fof(f3964,plain,(
% 12.67/2.03 spl0_197|spl0_19),
% 12.67/2.03 inference(split_clause,[status(thm)],[f3963,f3960,f599])).
% 12.67/2.03 fof(f3970,plain,(
% 12.67/2.03 spl0_199 <=> ~subclass(z,X0)|~subclass(X0,intersection(X1,complement(union(X2,X3))))|member(z,intersection(complement(X2),complement(X3)))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f3973,plain,(
% 12.67/2.03 ![X0,X1,X2,X3,X4]: (~subclass(z,X0)|~subclass(X0,intersection(X1,complement(union(X2,X3))))|member(z,intersection(complement(X2),complement(X3)))|~member(z,X4))),
% 12.67/2.03 inference(resolution,[status(thm)],[f2165,f1836])).
% 12.67/2.03 fof(f3974,plain,(
% 12.67/2.03 spl0_199|spl0_19),
% 12.67/2.03 inference(split_clause,[status(thm)],[f3973,f3970,f599])).
% 12.67/2.03 fof(f3976,plain,(
% 12.67/2.03 spl0_200 <=> ~subclass(z,X0)|~subclass(X0,intersection(X1,complement(universal_class)))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f3979,plain,(
% 12.67/2.03 ![X0,X1,X2]: (~subclass(z,X0)|~subclass(X0,intersection(X1,complement(universal_class)))|~member(z,X2))),
% 12.67/2.03 inference(resolution,[status(thm)],[f2165,f626])).
% 12.67/2.03 fof(f3980,plain,(
% 12.67/2.03 spl0_200|spl0_19),
% 12.67/2.03 inference(split_clause,[status(thm)],[f3979,f3976,f599])).
% 12.67/2.03 fof(f3982,plain,(
% 12.67/2.03 spl0_201 <=> ~subclass(z,X0)|~subclass(X0,intersection(X1,complement(complement(X2))))|member(z,X2)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f3985,plain,(
% 12.67/2.03 ![X0,X1,X2,X3]: (~subclass(z,X0)|~subclass(X0,intersection(X1,complement(complement(X2))))|member(z,X2)|~member(z,X3))),
% 12.67/2.03 inference(resolution,[status(thm)],[f2165,f589])).
% 12.67/2.03 fof(f3986,plain,(
% 12.67/2.03 spl0_201|spl0_19),
% 12.67/2.03 inference(split_clause,[status(thm)],[f3985,f3982,f599])).
% 12.67/2.03 fof(f3987,plain,(
% 12.67/2.03 spl0_202 <=> ~subclass(z,X0)|~subclass(X0,intersection(X1,complement(unordered_pair(z,X2))))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f3990,plain,(
% 12.67/2.03 ![X0,X1,X2,X3]: (~subclass(z,X0)|~subclass(X0,intersection(X1,complement(unordered_pair(z,X2))))|~member(z,X3))),
% 12.67/2.03 inference(resolution,[status(thm)],[f2165,f614])).
% 12.67/2.03 fof(f3991,plain,(
% 12.67/2.03 spl0_202|spl0_19),
% 12.67/2.03 inference(split_clause,[status(thm)],[f3990,f3987,f599])).
% 12.67/2.03 fof(f3992,plain,(
% 12.67/2.03 spl0_203 <=> ~subclass(z,X0)|~subclass(X0,intersection(X1,complement(unordered_pair(X2,z))))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f3995,plain,(
% 12.67/2.03 ![X0,X1,X2,X3]: (~subclass(z,X0)|~subclass(X0,intersection(X1,complement(unordered_pair(X2,z))))|~member(z,X3))),
% 12.67/2.03 inference(resolution,[status(thm)],[f2165,f627])).
% 12.67/2.03 fof(f3996,plain,(
% 12.67/2.03 spl0_203|spl0_19),
% 12.67/2.03 inference(split_clause,[status(thm)],[f3995,f3992,f599])).
% 12.67/2.03 fof(f3997,plain,(
% 12.67/2.03 spl0_204 <=> ~subclass(z,X0)|~subclass(X0,intersection(X1,complement(singleton(z))))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f4000,plain,(
% 12.67/2.03 ![X0,X1,X2]: (~subclass(z,X0)|~subclass(X0,intersection(X1,complement(singleton(z))))|~member(z,X2))),
% 12.67/2.03 inference(resolution,[status(thm)],[f2165,f996])).
% 12.67/2.03 fof(f4001,plain,(
% 12.67/2.03 spl0_204|spl0_19),
% 12.67/2.03 inference(split_clause,[status(thm)],[f4000,f3997,f599])).
% 12.67/2.03 fof(f4003,plain,(
% 12.67/2.03 ![X0,X1,X2]: (~member(X0,universal_class)|~subclass(element_relation,X1)|member(ordered_pair(X2,X0),X1)|~member(X2,X0))),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f1327,f626])).
% 12.67/2.03 fof(f4007,plain,(
% 12.67/2.03 spl0_205 <=> ~subclass(element_relation,X0)|member(ordered_pair(X1,omega),X0)|~member(X1,omega)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f4008,plain,(
% 12.67/2.03 ![X0,X1]: (~subclass(element_relation,X0)|member(ordered_pair(X1,omega),X0)|~member(X1,omega)|~spl0_205)),
% 12.67/2.03 inference(component_clause,[status(thm)],[f4007])).
% 12.67/2.03 fof(f4010,plain,(
% 12.67/2.03 ![X0,X1]: (~subclass(element_relation,X0)|member(ordered_pair(X1,omega),X0)|~member(X1,omega)|~subclass(universal_class,universal_class))),
% 12.67/2.03 inference(resolution,[status(thm)],[f4003,f983])).
% 12.67/2.03 fof(f4011,plain,(
% 12.67/2.03 spl0_205|~spl0_87),
% 12.67/2.03 inference(split_clause,[status(thm)],[f4010,f4007,f1906])).
% 12.67/2.03 fof(f4012,plain,(
% 12.67/2.03 spl0_206 <=> ~subclass(element_relation,X0)|member(ordered_pair(X1,null_class),X0)|~member(X1,null_class)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f4015,plain,(
% 12.67/2.03 spl0_207 <=> subclass(omega,universal_class)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f4017,plain,(
% 12.67/2.03 ~subclass(omega,universal_class)|spl0_207),
% 12.67/2.03 inference(component_clause,[status(thm)],[f4015])).
% 12.67/2.03 fof(f4018,plain,(
% 12.67/2.03 ![X0,X1]: (~subclass(element_relation,X0)|member(ordered_pair(X1,null_class),X0)|~member(X1,null_class)|~subclass(omega,universal_class))),
% 12.67/2.03 inference(resolution,[status(thm)],[f4003,f984])).
% 12.67/2.03 fof(f4019,plain,(
% 12.67/2.03 spl0_206|~spl0_207),
% 12.67/2.03 inference(split_clause,[status(thm)],[f4018,f4012,f4015])).
% 12.67/2.03 fof(f4042,plain,(
% 12.67/2.03 spl0_210 <=> ~subclass(element_relation,X0)|member(ordered_pair(X1,z),X0)|~member(X1,z)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f4097,plain,(
% 12.67/2.03 ![X0,X1,X2]: (~subclass(element_relation,X0)|member(ordered_pair(X1,z),X0)|~member(X1,z)|member(z,X2)|~subclass(complement(X2),universal_class)|~spl0_17)),
% 12.67/2.03 inference(resolution,[status(thm)],[f4003,f722])).
% 12.67/2.03 fof(f4098,plain,(
% 12.67/2.03 spl0_210|spl0_90|~spl0_17),
% 12.67/2.03 inference(split_clause,[status(thm)],[f4097,f4042,f1932,f569])).
% 12.67/2.03 fof(f4106,plain,(
% 12.67/2.03 $false|spl0_207),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f4017,f119])).
% 12.67/2.03 fof(f4107,plain,(
% 12.67/2.03 spl0_207),
% 12.67/2.03 inference(contradiction_clause,[status(thm)],[f4106])).
% 12.67/2.03 fof(f4108,plain,(
% 12.67/2.03 $false|spl0_87),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f1908,f119])).
% 12.67/2.03 fof(f4109,plain,(
% 12.67/2.03 spl0_87),
% 12.67/2.03 inference(contradiction_clause,[status(thm)],[f4108])).
% 12.67/2.03 fof(f4184,plain,(
% 12.67/2.03 spl0_221 <=> regular(singleton(z))=z),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f4185,plain,(
% 12.67/2.03 regular(singleton(z))=z|~spl0_221),
% 12.67/2.03 inference(component_clause,[status(thm)],[f4184])).
% 12.67/2.03 fof(f4339,plain,(
% 12.67/2.03 ![X0,X1]: (member(X0,null_class)|~member(X0,X1)|regular(singleton(X0))=X0)),
% 12.67/2.03 inference(paramodulation,[status(thm)],[f2548,f996])).
% 12.67/2.03 fof(f4340,plain,(
% 12.67/2.03 ![X0,X1]: (~member(X0,X1)|regular(singleton(X0))=X0|~spl0_171)),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f4339,f3408])).
% 12.67/2.03 fof(f4347,plain,(
% 12.67/2.03 $false|spl0_55),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f1101,f248])).
% 12.67/2.03 fof(f4348,plain,(
% 12.67/2.03 spl0_55),
% 12.67/2.03 inference(contradiction_clause,[status(thm)],[f4347])).
% 12.67/2.03 fof(f4489,plain,(
% 12.67/2.03 spl0_250 <=> singleton(z)=null_class),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f4490,plain,(
% 12.67/2.03 singleton(z)=null_class|~spl0_250),
% 12.67/2.03 inference(component_clause,[status(thm)],[f4489])).
% 12.67/2.03 fof(f4793,plain,(
% 12.67/2.03 spl0_262 <=> ~subclass(universal_class,X0)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f4794,plain,(
% 12.67/2.03 ![X0]: (~subclass(universal_class,X0)|~spl0_262)),
% 12.67/2.03 inference(component_clause,[status(thm)],[f4793])).
% 12.67/2.03 fof(f4796,plain,(
% 12.67/2.03 ![X0]: (regular(singleton(z))=z|~subclass(universal_class,X0)|~spl0_171|~spl0_33)),
% 12.67/2.03 inference(resolution,[status(thm)],[f4340,f877])).
% 12.67/2.03 fof(f4797,plain,(
% 12.67/2.03 spl0_221|spl0_262|~spl0_171|~spl0_33),
% 12.67/2.03 inference(split_clause,[status(thm)],[f4796,f4184,f4793,f3407,f758])).
% 12.67/2.03 fof(f4876,plain,(
% 12.67/2.03 ![X0]: (member(z,X0)|regular(singleton(z))=z|~spl0_17|~spl0_171)),
% 12.67/2.03 inference(resolution,[status(thm)],[f570,f4340])).
% 12.67/2.03 fof(f4877,plain,(
% 12.67/2.03 spl0_28|spl0_221|~spl0_17|~spl0_171),
% 12.67/2.03 inference(split_clause,[status(thm)],[f4876,f656,f4184,f569,f3407])).
% 12.67/2.03 fof(f5411,plain,(
% 12.67/2.03 spl0_301 <=> member(omega,universal_class)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f5413,plain,(
% 12.67/2.03 ~member(omega,universal_class)|spl0_301),
% 12.67/2.03 inference(component_clause,[status(thm)],[f5411])).
% 12.67/2.03 fof(f5495,plain,(
% 12.67/2.03 $false|~spl0_262),
% 12.67/2.03 inference(resolution,[status(thm)],[f4794,f119])).
% 12.67/2.03 fof(f5496,plain,(
% 12.67/2.03 ~spl0_262),
% 12.67/2.03 inference(contradiction_clause,[status(thm)],[f5495])).
% 12.67/2.03 fof(f5558,plain,(
% 12.67/2.03 spl0_315 <=> ~subclass(element_relation,X0)|member(ordered_pair(apply(choice,omega),omega),X0)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f5561,plain,(
% 12.67/2.03 spl0_316 <=> omega=null_class),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f5562,plain,(
% 12.67/2.03 omega=null_class|~spl0_316),
% 12.67/2.03 inference(component_clause,[status(thm)],[f5561])).
% 12.67/2.03 fof(f5564,plain,(
% 12.67/2.03 ![X0]: (~subclass(element_relation,X0)|member(ordered_pair(apply(choice,omega),omega),X0)|~member(omega,universal_class)|omega=null_class|~spl0_205)),
% 12.67/2.03 inference(resolution,[status(thm)],[f4008,f193])).
% 12.67/2.03 fof(f5565,plain,(
% 12.67/2.03 spl0_315|~spl0_301|spl0_316|~spl0_205),
% 12.67/2.03 inference(split_clause,[status(thm)],[f5564,f5558,f5411,f5561,f4007])).
% 12.67/2.03 fof(f5566,plain,(
% 12.67/2.03 spl0_317 <=> ~subclass(element_relation,X0)|member(ordered_pair(z,omega),X0)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f5569,plain,(
% 12.67/2.03 spl0_318 <=> subclass(universal_class,omega)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f5572,plain,(
% 12.67/2.03 ![X0]: (~subclass(element_relation,X0)|member(ordered_pair(z,omega),X0)|~subclass(universal_class,omega)|~spl0_205|~spl0_33)),
% 12.67/2.03 inference(resolution,[status(thm)],[f4008,f877])).
% 12.67/2.03 fof(f5573,plain,(
% 12.67/2.03 spl0_317|~spl0_318|~spl0_205|~spl0_33),
% 12.67/2.03 inference(split_clause,[status(thm)],[f5572,f5566,f5569,f4007,f758])).
% 12.67/2.03 fof(f5574,plain,(
% 12.67/2.03 spl0_319 <=> subclass(diagonalise(element_relation),omega)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f5577,plain,(
% 12.67/2.03 ![X0]: (~subclass(element_relation,X0)|member(ordered_pair(z,omega),X0)|~subclass(diagonalise(element_relation),omega)|~spl0_205)),
% 12.67/2.03 inference(resolution,[status(thm)],[f4008,f263])).
% 12.67/2.03 fof(f5578,plain,(
% 12.67/2.03 spl0_317|~spl0_319|~spl0_205),
% 12.67/2.03 inference(split_clause,[status(thm)],[f5577,f5566,f5574,f4007])).
% 12.67/2.03 fof(f5579,plain,(
% 12.67/2.03 spl0_320 <=> subclass(z,omega)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f5582,plain,(
% 12.67/2.03 ![X0]: (~subclass(element_relation,X0)|member(ordered_pair(z,omega),X0)|~subclass(z,omega)|~spl0_205)),
% 12.67/2.03 inference(resolution,[status(thm)],[f4008,f264])).
% 12.67/2.03 fof(f5583,plain,(
% 12.67/2.03 spl0_317|~spl0_320|~spl0_205),
% 12.67/2.03 inference(split_clause,[status(thm)],[f5582,f5566,f5579,f4007])).
% 12.67/2.03 fof(f5584,plain,(
% 12.67/2.03 spl0_321 <=> member(z,X1)|~subclass(complement(X1),omega)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f5587,plain,(
% 12.67/2.03 ![X0,X1]: (~subclass(element_relation,X0)|member(ordered_pair(z,omega),X0)|member(z,X1)|~subclass(complement(X1),omega)|~spl0_205|~spl0_17)),
% 12.67/2.03 inference(resolution,[status(thm)],[f4008,f722])).
% 12.67/2.03 fof(f5588,plain,(
% 12.67/2.03 spl0_317|spl0_321|~spl0_205|~spl0_17),
% 12.67/2.03 inference(split_clause,[status(thm)],[f5587,f5566,f5584,f4007,f569])).
% 12.67/2.03 fof(f5589,plain,(
% 12.67/2.03 spl0_322 <=> ~subclass(unordered_pair(X1,z),omega)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f5592,plain,(
% 12.67/2.03 ![X0,X1]: (~subclass(element_relation,X0)|member(ordered_pair(z,omega),X0)|~subclass(unordered_pair(X1,z),omega)|~spl0_205|~spl0_5)),
% 12.67/2.03 inference(resolution,[status(thm)],[f4008,f331])).
% 12.67/2.03 fof(f5593,plain,(
% 12.67/2.03 spl0_317|spl0_322|~spl0_205|~spl0_5),
% 12.67/2.03 inference(split_clause,[status(thm)],[f5592,f5566,f5589,f4007,f304])).
% 12.67/2.03 fof(f5596,plain,(
% 12.67/2.03 spl0_323 <=> ~subclass(element_relation,X0)|member(ordered_pair(null_class,omega),X0)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f5599,plain,(
% 12.67/2.03 spl0_324 <=> subclass(omega,omega)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f5601,plain,(
% 12.67/2.03 ~subclass(omega,omega)|spl0_324),
% 12.67/2.03 inference(component_clause,[status(thm)],[f5599])).
% 12.67/2.03 fof(f5602,plain,(
% 12.67/2.03 ![X0]: (~subclass(element_relation,X0)|member(ordered_pair(null_class,omega),X0)|~subclass(omega,omega)|~spl0_205)),
% 12.67/2.03 inference(resolution,[status(thm)],[f4008,f984])).
% 12.67/2.03 fof(f5603,plain,(
% 12.67/2.03 spl0_323|~spl0_324|~spl0_205),
% 12.67/2.03 inference(split_clause,[status(thm)],[f5602,f5596,f5599,f4007])).
% 12.67/2.03 fof(f5622,plain,(
% 12.67/2.03 spl0_329 <=> ~subclass(element_relation,X0)|member(ordered_pair(regular(omega),omega),X0)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f5625,plain,(
% 12.67/2.03 ![X0]: (~subclass(element_relation,X0)|member(ordered_pair(regular(omega),omega),X0)|omega=null_class|~spl0_205)),
% 12.67/2.03 inference(resolution,[status(thm)],[f4008,f189])).
% 12.67/2.03 fof(f5626,plain,(
% 12.67/2.03 spl0_329|spl0_316|~spl0_205),
% 12.67/2.03 inference(split_clause,[status(thm)],[f5625,f5622,f5561,f4007])).
% 12.67/2.03 fof(f5628,plain,(
% 12.67/2.03 $false|spl0_324),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f5601,f248])).
% 12.67/2.03 fof(f5629,plain,(
% 12.67/2.03 spl0_324),
% 12.67/2.03 inference(contradiction_clause,[status(thm)],[f5628])).
% 12.67/2.03 fof(f5718,plain,(
% 12.67/2.03 $false|spl0_301),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f5413,f175])).
% 12.67/2.03 fof(f5719,plain,(
% 12.67/2.03 spl0_301),
% 12.67/2.03 inference(contradiction_clause,[status(thm)],[f5718])).
% 12.67/2.03 fof(f5720,plain,(
% 12.67/2.03 $false|spl0_89),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f1923,f119])).
% 12.67/2.03 fof(f5721,plain,(
% 12.67/2.03 spl0_89),
% 12.67/2.03 inference(contradiction_clause,[status(thm)],[f5720])).
% 12.67/2.03 fof(f5722,plain,(
% 12.67/2.03 ![X0]: (member(z,X0)|~spl0_90)),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f1933,f119])).
% 12.67/2.03 fof(f5725,plain,(
% 12.67/2.03 $false|~spl0_90),
% 12.67/2.03 inference(backward_subsumption_resolution,[status(thm)],[f255,f5722])).
% 12.67/2.03 fof(f5726,plain,(
% 12.67/2.03 ~spl0_90),
% 12.67/2.03 inference(contradiction_clause,[status(thm)],[f5725])).
% 12.67/2.03 fof(f5845,plain,(
% 12.67/2.03 ![X0]: (~subclass(z,regular(X0))|~member(z,X0)|X0=null_class|~spl0_27)),
% 12.67/2.03 inference(resolution,[status(thm)],[f264,f3222])).
% 12.67/2.03 fof(f5952,plain,(
% 12.67/2.03 ![X0]: (omega=null_class|~subclass(element_relation,X0)|member(ordered_pair(z,omega),X0)|~spl0_162|~spl0_205)),
% 12.67/2.03 inference(resolution,[status(thm)],[f3212,f4008])).
% 12.67/2.03 fof(f5953,plain,(
% 12.67/2.03 spl0_316|spl0_317|~spl0_162|~spl0_205),
% 12.67/2.03 inference(split_clause,[status(thm)],[f5952,f5561,f5566,f3211,f4007])).
% 12.67/2.03 fof(f6447,plain,(
% 12.67/2.03 spl0_345 <=> ~maps(restrict(X0,X1,universal_class),X2,restrict(omega,X3,X4))|~subclass(universal_class,X5)|~subclass(X5,image(X0,X1))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f6450,plain,(
% 12.67/2.03 ![X0,X1,X2,X3,X4,X5,X6]: (~maps(restrict(X0,X1,universal_class),X2,restrict(omega,X3,X4))|~subclass(universal_class,X5)|~subclass(X5,image(X0,X1))|~subclass(element_relation,X6)|member(ordered_pair(z,omega),X6)|~spl0_33|~spl0_205)),
% 12.67/2.03 inference(resolution,[status(thm)],[f3618,f4008])).
% 12.67/2.03 fof(f6451,plain,(
% 12.67/2.03 spl0_345|spl0_317|~spl0_33|~spl0_205),
% 12.67/2.03 inference(split_clause,[status(thm)],[f6450,f6447,f5566,f758,f4007])).
% 12.67/2.03 fof(f6471,plain,(
% 12.67/2.03 member(null_class,null_class)|~spl0_316),
% 12.67/2.03 inference(backward_demodulation,[status(thm)],[f5562,f982])).
% 12.67/2.03 fof(f6472,plain,(
% 12.67/2.03 $false|~spl0_171|~spl0_316),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f6471,f3408])).
% 12.67/2.03 fof(f6473,plain,(
% 12.67/2.03 ~spl0_171|~spl0_316),
% 12.67/2.03 inference(contradiction_clause,[status(thm)],[f6472])).
% 12.67/2.03 fof(f6734,plain,(
% 12.67/2.03 ![X0]: (member(z,null_class)|~member(z,X0)|~spl0_250)),
% 12.67/2.03 inference(paramodulation,[status(thm)],[f4490,f996])).
% 12.67/2.03 fof(f6735,plain,(
% 12.67/2.03 spl0_38|spl0_19|~spl0_250),
% 12.67/2.03 inference(split_clause,[status(thm)],[f6734,f781,f599,f4489])).
% 12.67/2.03 fof(f6740,plain,(
% 12.67/2.03 $false|~spl0_171|~spl0_38),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f782,f3408])).
% 12.67/2.03 fof(f6741,plain,(
% 12.67/2.03 ~spl0_171|~spl0_38),
% 12.67/2.03 inference(contradiction_clause,[status(thm)],[f6740])).
% 12.67/2.03 fof(f7870,plain,(
% 12.67/2.03 spl0_390 <=> member(z,singleton(z))),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f7896,plain,(
% 12.67/2.03 spl0_396 <=> subclass(z,z)),
% 12.67/2.03 introduced(split_symbol_definition)).
% 12.67/2.03 fof(f7898,plain,(
% 12.67/2.03 ~subclass(z,z)|spl0_396),
% 12.67/2.03 inference(component_clause,[status(thm)],[f7896])).
% 12.67/2.03 fof(f7899,plain,(
% 12.67/2.03 ~subclass(z,z)|~member(z,singleton(z))|singleton(z)=null_class|~spl0_27|~spl0_221),
% 12.67/2.03 inference(paramodulation,[status(thm)],[f4185,f5845])).
% 12.67/2.03 fof(f7900,plain,(
% 12.67/2.03 ~spl0_396|~spl0_390|spl0_250|~spl0_27|~spl0_221),
% 12.67/2.03 inference(split_clause,[status(thm)],[f7899,f7896,f7870,f4489,f650,f4184])).
% 12.67/2.03 fof(f7911,plain,(
% 12.67/2.03 singleton(z)=null_class|member(z,singleton(z))|~spl0_221),
% 12.67/2.03 inference(paramodulation,[status(thm)],[f4185,f189])).
% 12.67/2.03 fof(f7912,plain,(
% 12.67/2.03 spl0_250|spl0_390|~spl0_221),
% 12.67/2.03 inference(split_clause,[status(thm)],[f7911,f4489,f7870,f4184])).
% 12.67/2.03 fof(f7923,plain,(
% 12.67/2.03 $false|spl0_396),
% 12.67/2.03 inference(forward_subsumption_resolution,[status(thm)],[f7898,f248])).
% 12.67/2.03 fof(f7924,plain,(
% 12.67/2.03 spl0_396),
% 12.67/2.03 inference(contradiction_clause,[status(thm)],[f7923])).
% 12.67/2.03 fof(f7925,plain,(
% 12.67/2.03 $false),
% 12.67/2.03 inference(sat_refutation,[status(thm)],[f296,f330,f351,f581,f591,f593,f603,f608,f619,f624,f632,f637,f668,f671,f675,f677,f713,f720,f742,f744,f746,f754,f841,f859,f893,f1018,f1061,f1103,f1109,f1112,f1120,f1273,f1283,f1288,f1293,f1335,f1459,f1751,f1936,f2463,f2468,f2473,f2478,f2503,f2513,f2518,f2713,f2792,f2796,f2798,f2802,f3215,f3224,f3233,f3239,f3406,f3410,f3547,f3557,f3562,f3964,f3974,f3980,f3986,f3991,f3996,f4001,f4011,f4019,f4098,f4107,f4109,f4348,f4797,f4877,f5496,f5565,f5573,f5578,f5583,f5588,f5593,f5603,f5626,f5629,f5719,f5721,f5726,f5953,f6451,f6473,f6735,f6741,f7900,f7912,f7924])).
% 12.67/2.03 % SZS output end CNFRefutation for theBenchmark.p
% 12.67/2.06 % Elapsed time: 1.741388 seconds
% 12.67/2.06 % CPU time: 13.154424 seconds
% 12.67/2.06 % Memory used: 161.991 MB
%------------------------------------------------------------------------------