TSTP Solution File: SET517-6 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET517-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 0.16s 0.51s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10 % Problem : SET517-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n025.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 10:23:42 EDT 2023
% 0.16/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 0.16/0.51 % Refutation found
% 0.16/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.51 fof(f1,axiom,(
% 0.16/0.51 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f2,axiom,(
% 0.16/0.51 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f3,axiom,(
% 0.16/0.51 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f4,axiom,(
% 0.16/0.51 (![X]: (subclass(X,universal_class) ))),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f5,axiom,(
% 0.16/0.51 (![X,Y]: (( X != Y| subclass(X,Y) ) ))),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f7,axiom,(
% 0.16/0.51 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f8,axiom,(
% 0.16/0.51 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f9,axiom,(
% 0.16/0.51 (![X,Y]: (( ~ member(X,universal_class)| member(X,unordered_pair(X,Y)) ) ))),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f10,axiom,(
% 0.16/0.51 (![Y,X]: (( ~ member(Y,universal_class)| member(Y,unordered_pair(X,Y)) ) ))),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f11,axiom,(
% 0.16/0.51 (![X,Y]: (member(unordered_pair(X,Y),universal_class) ))),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f12,axiom,(
% 0.16/0.51 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f13,axiom,(
% 0.16/0.51 (![X,Y]: (unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y) ))),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f15,axiom,(
% 0.16/0.51 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(V,Y) ) ))),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f16,axiom,(
% 0.16/0.51 (![U,X,V,Y]: (( ~ member(U,X)| ~ member(V,Y)| member(ordered_pair(U,V),cross_product(X,Y)) ) ))),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f18,axiom,(
% 0.16/0.51 subclass(element_relation,cross_product(universal_class,universal_class)) ),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f19,axiom,(
% 0.16/0.51 (![X,Y]: (( ~ member(ordered_pair(X,Y),element_relation)| member(X,Y) ) ))),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f20,axiom,(
% 0.16/0.51 (![X,Y]: (( ~ member(ordered_pair(X,Y),cross_product(universal_class,universal_class))| ~ member(X,Y)| member(ordered_pair(X,Y),element_relation) ) ))),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f21,axiom,(
% 0.16/0.51 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f23,axiom,(
% 0.16/0.51 (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f24,axiom,(
% 0.16/0.51 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f25,axiom,(
% 0.16/0.51 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f44,axiom,(
% 0.16/0.51 subclass(successor_relation,cross_product(universal_class,universal_class)) ),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f47,axiom,(
% 0.16/0.51 (![X]: (( ~ inductive(X)| member(null_class,X) ) ))),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f49,axiom,(
% 0.16/0.51 (![X]: (( ~ member(null_class,X)| ~ subclass(image(successor_relation,X),X)| inductive(X) ) ))),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f50,axiom,(
% 0.16/0.51 inductive(omega) ),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f51,axiom,(
% 0.16/0.51 (![Y]: (( ~ inductive(Y)| subclass(omega,Y) ) ))),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f52,axiom,(
% 0.16/0.51 member(omega,universal_class) ),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f57,axiom,(
% 0.16/0.51 (![Yr,Xr]: (subclass(compose(Yr,Xr),cross_product(universal_class,universal_class)) ))),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f62,axiom,(
% 0.16/0.51 (![Xf]: (( ~ function(Xf)| subclass(Xf,cross_product(universal_class,universal_class)) ) ))),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f66,axiom,(
% 0.16/0.51 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f67,axiom,(
% 0.16/0.51 (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f69,axiom,(
% 0.16/0.51 function(choice) ),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f74,axiom,(
% 0.16/0.51 intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation))))) = subset_relation ),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f92,axiom,(
% 0.16/0.51 (![X]: (subclass(compose_class(X),cross_product(universal_class,universal_class)) ))),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f98,axiom,(
% 0.16/0.51 subclass(domain_relation,cross_product(universal_class,universal_class)) ),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f113,negated_conjecture,(
% 0.16/0.51 singleton(member_of(x)) = x ),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f114,negated_conjecture,(
% 0.16/0.51 member_of(x) = x ),
% 0.16/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f115,plain,(
% 0.16/0.51 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.16/0.51 inference(miniscoping,[status(esa)],[f1])).
% 0.16/0.51 fof(f116,plain,(
% 0.16/0.51 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f115])).
% 0.16/0.51 fof(f117,plain,(
% 0.16/0.51 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f2])).
% 0.16/0.51 fof(f118,plain,(
% 0.16/0.51 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f3])).
% 0.16/0.51 fof(f119,plain,(
% 0.16/0.51 ![X0]: (subclass(X0,universal_class))),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f4])).
% 0.16/0.51 fof(f120,plain,(
% 0.16/0.51 ![X0,X1]: (~X0=X1|subclass(X0,X1))),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f5])).
% 0.16/0.51 fof(f122,plain,(
% 0.16/0.51 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f7])).
% 0.16/0.51 fof(f123,plain,(
% 0.16/0.51 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 0.16/0.51 inference(miniscoping,[status(esa)],[f8])).
% 0.16/0.51 fof(f124,plain,(
% 0.16/0.51 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f123])).
% 0.16/0.51 fof(f125,plain,(
% 0.16/0.51 ![X]: (~member(X,universal_class)|(![Y]: member(X,unordered_pair(X,Y))))),
% 0.16/0.51 inference(miniscoping,[status(esa)],[f9])).
% 0.16/0.51 fof(f126,plain,(
% 0.16/0.51 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X0,X1)))),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f125])).
% 0.16/0.51 fof(f127,plain,(
% 0.16/0.51 ![Y]: (~member(Y,universal_class)|(![X]: member(Y,unordered_pair(X,Y))))),
% 0.16/0.51 inference(miniscoping,[status(esa)],[f10])).
% 0.16/0.51 fof(f128,plain,(
% 0.16/0.51 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X1,X0)))),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f127])).
% 0.16/0.51 fof(f129,plain,(
% 0.16/0.51 ![X0,X1]: (member(unordered_pair(X0,X1),universal_class))),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f11])).
% 0.16/0.51 fof(f130,plain,(
% 0.16/0.51 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f12])).
% 0.16/0.51 fof(f131,plain,(
% 0.16/0.51 ![X0,X1]: (unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1)))=ordered_pair(X0,X1))),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f13])).
% 0.16/0.51 fof(f134,plain,(
% 0.16/0.51 ![V,Y]: ((![U,X]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(V,Y))),
% 0.16/0.51 inference(miniscoping,[status(esa)],[f15])).
% 0.16/0.51 fof(f135,plain,(
% 0.16/0.51 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X1,X3))),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f134])).
% 0.16/0.51 fof(f136,plain,(
% 0.16/0.51 ![X0,X1,X2,X3]: (~member(X0,X1)|~member(X2,X3)|member(ordered_pair(X0,X2),cross_product(X1,X3)))),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f16])).
% 0.16/0.51 fof(f139,plain,(
% 0.16/0.51 subclass(element_relation,cross_product(universal_class,universal_class))),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f18])).
% 0.16/0.51 fof(f140,plain,(
% 0.16/0.51 ![X0,X1]: (~member(ordered_pair(X0,X1),element_relation)|member(X0,X1))),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f19])).
% 0.16/0.51 fof(f141,plain,(
% 0.16/0.51 ![X0,X1]: (~member(ordered_pair(X0,X1),cross_product(universal_class,universal_class))|~member(X0,X1)|member(ordered_pair(X0,X1),element_relation))),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f20])).
% 0.16/0.51 fof(f142,plain,(
% 0.16/0.51 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 0.16/0.51 inference(miniscoping,[status(esa)],[f21])).
% 0.16/0.51 fof(f143,plain,(
% 0.16/0.51 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f142])).
% 0.16/0.51 fof(f146,plain,(
% 0.16/0.51 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f23])).
% 0.16/0.51 fof(f147,plain,(
% 0.16/0.51 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f24])).
% 0.16/0.51 fof(f148,plain,(
% 0.16/0.51 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f25])).
% 0.16/0.51 fof(f167,plain,(
% 0.16/0.51 subclass(successor_relation,cross_product(universal_class,universal_class))),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f44])).
% 0.16/0.51 fof(f170,plain,(
% 0.16/0.51 ![X0]: (~inductive(X0)|member(null_class,X0))),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f47])).
% 0.16/0.51 fof(f172,plain,(
% 0.16/0.51 ![X0]: (~member(null_class,X0)|~subclass(image(successor_relation,X0),X0)|inductive(X0))),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f49])).
% 0.16/0.51 fof(f173,plain,(
% 0.16/0.51 inductive(omega)),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f50])).
% 0.16/0.51 fof(f174,plain,(
% 0.16/0.51 ![X0]: (~inductive(X0)|subclass(omega,X0))),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f51])).
% 0.16/0.51 fof(f175,plain,(
% 0.16/0.51 member(omega,universal_class)),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f52])).
% 0.16/0.51 fof(f180,plain,(
% 0.16/0.51 ![X0,X1]: (subclass(compose(X0,X1),cross_product(universal_class,universal_class)))),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f57])).
% 0.16/0.51 fof(f185,plain,(
% 0.16/0.51 ![X0]: (~function(X0)|subclass(X0,cross_product(universal_class,universal_class)))),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f62])).
% 0.16/0.51 fof(f189,plain,(
% 0.16/0.51 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f66])).
% 0.16/0.51 fof(f190,plain,(
% 0.16/0.51 ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f67])).
% 0.16/0.51 fof(f192,plain,(
% 0.16/0.51 function(choice)),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f69])).
% 0.16/0.51 fof(f197,plain,(
% 0.16/0.51 intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation)))))=subset_relation),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f74])).
% 0.16/0.51 fof(f220,plain,(
% 0.16/0.51 ![X0]: (subclass(compose_class(X0),cross_product(universal_class,universal_class)))),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f92])).
% 0.16/0.51 fof(f226,plain,(
% 0.16/0.51 subclass(domain_relation,cross_product(universal_class,universal_class))),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f98])).
% 0.16/0.51 fof(f246,plain,(
% 0.16/0.51 singleton(member_of(x))=x),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f113])).
% 0.16/0.51 fof(f247,plain,(
% 0.16/0.51 member_of(x)=x),
% 0.16/0.51 inference(cnf_transformation,[status(esa)],[f114])).
% 0.16/0.51 fof(f248,plain,(
% 0.16/0.51 ![X0]: (subclass(X0,X0))),
% 0.16/0.51 inference(destructive_equality_resolution,[status(esa)],[f120])).
% 0.16/0.51 fof(f252,plain,(
% 0.16/0.51 singleton(x)=x),
% 0.16/0.51 inference(forward_demodulation,[status(thm)],[f247,f246])).
% 0.16/0.51 fof(f255,plain,(
% 0.16/0.51 ![X0]: (member(singleton(X0),universal_class))),
% 0.16/0.51 inference(paramodulation,[status(thm)],[f130,f129])).
% 0.16/0.51 fof(f257,plain,(
% 0.16/0.51 member(x,universal_class)),
% 0.16/0.51 inference(paramodulation,[status(thm)],[f252,f255])).
% 0.16/0.51 fof(f264,plain,(
% 0.16/0.51 ![X0,X1]: (~inductive(X0)|~subclass(X0,X1)|member(null_class,X1))),
% 0.16/0.51 inference(resolution,[status(thm)],[f170,f116])).
% 0.16/0.51 fof(f267,plain,(
% 0.16/0.51 ![X0]: (~subclass(X0,omega)|X0=omega|~inductive(X0))),
% 0.16/0.51 inference(resolution,[status(thm)],[f122,f174])).
% 0.16/0.51 fof(f268,plain,(
% 0.16/0.51 ![X0]: (~subclass(universal_class,X0)|universal_class=X0)),
% 0.16/0.51 inference(resolution,[status(thm)],[f122,f119])).
% 0.16/0.51 fof(f283,plain,(
% 0.16/0.51 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.16/0.51 inference(paramodulation,[status(thm)],[f130,f124])).
% 0.16/0.51 fof(f284,plain,(
% 0.16/0.51 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.16/0.51 inference(duplicate_literals_removal,[status(esa)],[f283])).
% 0.16/0.51 fof(f286,plain,(
% 0.16/0.51 ![X0]: (~member(X0,universal_class)|member(X0,singleton(X0)))),
% 0.16/0.51 inference(paramodulation,[status(thm)],[f130,f126])).
% 0.16/0.51 fof(f292,plain,(
% 0.16/0.51 ![X0]: (~member(X0,x)|X0=x)),
% 0.16/0.51 inference(paramodulation,[status(thm)],[f252,f284])).
% 0.16/0.51 fof(f293,plain,(
% 0.16/0.51 spl0_2 <=> regular(x)=x),
% 0.16/0.51 introduced(split_symbol_definition)).
% 0.16/0.51 fof(f294,plain,(
% 0.16/0.51 regular(x)=x|~spl0_2),
% 0.16/0.51 inference(component_clause,[status(thm)],[f293])).
% 0.16/0.51 fof(f296,plain,(
% 0.16/0.51 spl0_3 <=> x=null_class),
% 0.16/0.51 introduced(split_symbol_definition)).
% 0.16/0.51 fof(f297,plain,(
% 0.16/0.51 x=null_class|~spl0_3),
% 0.16/0.51 inference(component_clause,[status(thm)],[f296])).
% 0.16/0.51 fof(f299,plain,(
% 0.16/0.51 regular(x)=x|x=null_class),
% 0.16/0.51 inference(resolution,[status(thm)],[f292,f189])).
% 0.16/0.51 fof(f300,plain,(
% 0.16/0.51 spl0_2|spl0_3),
% 0.16/0.51 inference(split_clause,[status(thm)],[f299,f293,f296])).
% 0.16/0.51 fof(f306,plain,(
% 0.16/0.51 ![X0]: (not_subclass_element(x,X0)=x|subclass(x,X0))),
% 0.16/0.51 inference(resolution,[status(thm)],[f292,f117])).
% 0.16/0.51 fof(f315,plain,(
% 0.16/0.51 singleton(x)=null_class|~spl0_3),
% 0.16/0.51 inference(backward_demodulation,[status(thm)],[f297,f252])).
% 0.16/0.51 fof(f316,plain,(
% 0.16/0.51 singleton(null_class)=null_class|~spl0_3),
% 0.16/0.51 inference(forward_demodulation,[status(thm)],[f297,f315])).
% 0.16/0.51 fof(f326,plain,(
% 0.16/0.51 spl0_6 <=> null_class=null_class),
% 0.16/0.51 introduced(split_symbol_definition)).
% 0.16/0.51 fof(f328,plain,(
% 0.16/0.51 ~null_class=null_class|spl0_6),
% 0.16/0.51 inference(component_clause,[status(thm)],[f326])).
% 0.16/0.51 fof(f331,plain,(
% 0.16/0.51 spl0_7 <=> inductive(null_class)),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f333,plain,(
% 0.16/0.52 ~inductive(null_class)|spl0_7),
% 0.16/0.52 inference(component_clause,[status(thm)],[f331])).
% 0.16/0.52 fof(f337,plain,(
% 0.16/0.52 spl0_8 <=> member(x,x)),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f338,plain,(
% 0.16/0.52 member(x,x)|~spl0_8),
% 0.16/0.52 inference(component_clause,[status(thm)],[f337])).
% 0.16/0.52 fof(f356,plain,(
% 0.16/0.52 spl0_9 <=> member(null_class,null_class)),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f380,plain,(
% 0.16/0.52 ![X0]: (~member(x,X0)|subclass(x,X0)|subclass(x,X0))),
% 0.16/0.52 inference(paramodulation,[status(thm)],[f306,f118])).
% 0.16/0.52 fof(f381,plain,(
% 0.16/0.52 ![X0]: (~member(x,X0)|subclass(x,X0))),
% 0.16/0.52 inference(duplicate_literals_removal,[status(esa)],[f380])).
% 0.16/0.52 fof(f390,plain,(
% 0.16/0.52 spl0_12 <=> subclass(x,unordered_pair(X0,x))),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f393,plain,(
% 0.16/0.52 spl0_13 <=> member(x,universal_class)),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f395,plain,(
% 0.16/0.52 ~member(x,universal_class)|spl0_13),
% 0.16/0.52 inference(component_clause,[status(thm)],[f393])).
% 0.16/0.52 fof(f396,plain,(
% 0.16/0.52 ![X0]: (subclass(x,unordered_pair(X0,x))|~member(x,universal_class))),
% 0.16/0.52 inference(resolution,[status(thm)],[f381,f128])).
% 0.16/0.52 fof(f397,plain,(
% 0.16/0.52 spl0_12|~spl0_13),
% 0.16/0.52 inference(split_clause,[status(thm)],[f396,f390,f393])).
% 0.16/0.52 fof(f398,plain,(
% 0.16/0.52 spl0_14 <=> subclass(x,unordered_pair(x,X0))),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f401,plain,(
% 0.16/0.52 ![X0]: (subclass(x,unordered_pair(x,X0))|~member(x,universal_class))),
% 0.16/0.52 inference(resolution,[status(thm)],[f381,f126])).
% 0.16/0.52 fof(f402,plain,(
% 0.16/0.52 spl0_14|~spl0_13),
% 0.16/0.52 inference(split_clause,[status(thm)],[f401,f398,f393])).
% 0.16/0.52 fof(f403,plain,(
% 0.16/0.52 $false|spl0_13),
% 0.16/0.52 inference(forward_subsumption_resolution,[status(thm)],[f395,f257])).
% 0.16/0.52 fof(f404,plain,(
% 0.16/0.52 spl0_13),
% 0.16/0.52 inference(contradiction_clause,[status(thm)],[f403])).
% 0.16/0.52 fof(f415,plain,(
% 0.16/0.52 ![X0]: (unordered_pair(x,unordered_pair(x,singleton(X0)))=ordered_pair(x,X0))),
% 0.16/0.52 inference(paramodulation,[status(thm)],[f252,f131])).
% 0.16/0.52 fof(f421,plain,(
% 0.16/0.52 ![X0,X1]: (~member(singleton(X0),universal_class)|member(singleton(X0),ordered_pair(X0,X1)))),
% 0.16/0.52 inference(paramodulation,[status(thm)],[f131,f126])).
% 0.16/0.52 fof(f422,plain,(
% 0.16/0.52 ![X0,X1]: (member(singleton(X0),ordered_pair(X0,X1)))),
% 0.16/0.52 inference(forward_subsumption_resolution,[status(thm)],[f421,f255])).
% 0.16/0.52 fof(f424,plain,(
% 0.16/0.52 ![X0,X1]: (member(ordered_pair(X0,X1),universal_class))),
% 0.16/0.52 inference(paramodulation,[status(thm)],[f131,f129])).
% 0.16/0.52 fof(f425,plain,(
% 0.16/0.52 unordered_pair(x,unordered_pair(x,x))=ordered_pair(x,x)),
% 0.16/0.52 inference(paramodulation,[status(thm)],[f252,f415])).
% 0.16/0.52 fof(f426,plain,(
% 0.16/0.52 unordered_pair(x,singleton(x))=ordered_pair(x,x)),
% 0.16/0.52 inference(forward_demodulation,[status(thm)],[f130,f425])).
% 0.16/0.52 fof(f427,plain,(
% 0.16/0.52 unordered_pair(x,x)=ordered_pair(x,x)),
% 0.16/0.52 inference(forward_demodulation,[status(thm)],[f252,f426])).
% 0.16/0.52 fof(f428,plain,(
% 0.16/0.52 singleton(x)=ordered_pair(x,x)),
% 0.16/0.52 inference(forward_demodulation,[status(thm)],[f130,f427])).
% 0.16/0.52 fof(f429,plain,(
% 0.16/0.52 x=ordered_pair(x,x)),
% 0.16/0.52 inference(forward_demodulation,[status(thm)],[f252,f428])).
% 0.16/0.52 fof(f432,plain,(
% 0.16/0.52 spl0_17 <=> member(x,ordered_pair(x,X0))),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f435,plain,(
% 0.16/0.52 ![X0]: (~member(x,universal_class)|member(x,ordered_pair(x,X0)))),
% 0.16/0.52 inference(paramodulation,[status(thm)],[f415,f126])).
% 0.16/0.52 fof(f436,plain,(
% 0.16/0.52 ~spl0_13|spl0_17),
% 0.16/0.52 inference(split_clause,[status(thm)],[f435,f393,f432])).
% 0.16/0.52 fof(f439,plain,(
% 0.16/0.52 ![X0,X1,X2]: (~subclass(universal_class,X0)|member(ordered_pair(X1,X2),X0))),
% 0.16/0.52 inference(resolution,[status(thm)],[f424,f116])).
% 0.16/0.52 fof(f442,plain,(
% 0.16/0.52 ![X0]: (member(x,ordered_pair(x,X0)))),
% 0.16/0.52 inference(paramodulation,[status(thm)],[f252,f422])).
% 0.16/0.52 fof(f444,plain,(
% 0.16/0.52 ![X0]: (subclass(x,ordered_pair(x,X0)))),
% 0.16/0.52 inference(resolution,[status(thm)],[f442,f381])).
% 0.16/0.52 fof(f446,plain,(
% 0.16/0.52 ![X0]: (~subclass(ordered_pair(x,X0),x)|ordered_pair(x,X0)=x)),
% 0.16/0.52 inference(resolution,[status(thm)],[f444,f122])).
% 0.16/0.52 fof(f459,plain,(
% 0.16/0.52 ![X0,X1]: (member(null_class,X0)|~inductive(intersection(X0,X1)))),
% 0.16/0.52 inference(resolution,[status(thm)],[f143,f170])).
% 0.16/0.52 fof(f484,plain,(
% 0.16/0.52 spl0_24 <=> intersection(x,x)=null_class),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f485,plain,(
% 0.16/0.52 intersection(x,x)=null_class|~spl0_24),
% 0.16/0.52 inference(component_clause,[status(thm)],[f484])).
% 0.16/0.52 fof(f487,plain,(
% 0.16/0.52 x=null_class|intersection(x,x)=null_class|~spl0_2),
% 0.16/0.52 inference(paramodulation,[status(thm)],[f294,f190])).
% 0.16/0.52 fof(f488,plain,(
% 0.16/0.52 spl0_3|spl0_24|~spl0_2),
% 0.16/0.52 inference(split_clause,[status(thm)],[f487,f296,f484,f293])).
% 0.16/0.52 fof(f490,plain,(
% 0.16/0.52 ![X0,X1]: (~member(X0,null_class)|member(X0,X1)|X1=null_class)),
% 0.16/0.52 inference(paramodulation,[status(thm)],[f190,f143])).
% 0.16/0.52 fof(f493,plain,(
% 0.16/0.52 spl0_25 <=> ~member(X0,X1)),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f494,plain,(
% 0.16/0.52 ![X0,X1]: (~member(X0,X1)|~spl0_25)),
% 0.16/0.52 inference(component_clause,[status(thm)],[f493])).
% 0.16/0.52 fof(f496,plain,(
% 0.16/0.52 spl0_26 <=> ~member(X2,X3)|member(X2,X3)),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f499,plain,(
% 0.16/0.52 ![X0,X1,X2,X3]: (~member(X0,X1)|~member(X2,X3)|member(X2,X3))),
% 0.16/0.52 inference(resolution,[status(thm)],[f136,f135])).
% 0.16/0.52 fof(f500,plain,(
% 0.16/0.52 spl0_25|spl0_26),
% 0.16/0.52 inference(split_clause,[status(thm)],[f499,f493,f496])).
% 0.16/0.52 fof(f570,plain,(
% 0.16/0.52 spl0_28 <=> member(null_class,universal_class)),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f583,plain,(
% 0.16/0.52 $false|~spl0_25),
% 0.16/0.52 inference(backward_subsumption_resolution,[status(thm)],[f424,f494])).
% 0.16/0.52 fof(f584,plain,(
% 0.16/0.52 ~spl0_25),
% 0.16/0.52 inference(contradiction_clause,[status(thm)],[f583])).
% 0.16/0.52 fof(f586,plain,(
% 0.16/0.52 member(null_class,x)|~spl0_3|~spl0_8),
% 0.16/0.52 inference(forward_demodulation,[status(thm)],[f297,f338])).
% 0.16/0.52 fof(f587,plain,(
% 0.16/0.52 member(null_class,null_class)|~spl0_3|~spl0_8),
% 0.16/0.52 inference(forward_demodulation,[status(thm)],[f297,f586])).
% 0.16/0.52 fof(f602,plain,(
% 0.16/0.52 null_class=ordered_pair(x,x)|~spl0_3),
% 0.16/0.52 inference(forward_demodulation,[status(thm)],[f297,f429])).
% 0.16/0.52 fof(f603,plain,(
% 0.16/0.52 null_class=ordered_pair(null_class,x)|~spl0_3),
% 0.16/0.52 inference(forward_demodulation,[status(thm)],[f297,f602])).
% 0.16/0.52 fof(f604,plain,(
% 0.16/0.52 null_class=ordered_pair(null_class,null_class)|~spl0_3),
% 0.16/0.52 inference(forward_demodulation,[status(thm)],[f297,f603])).
% 0.16/0.52 fof(f733,plain,(
% 0.16/0.52 spl0_37 <=> singleton(X0)=null_class),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f734,plain,(
% 0.16/0.52 ![X0]: (singleton(X0)=null_class|~spl0_37)),
% 0.16/0.52 inference(component_clause,[status(thm)],[f733])).
% 0.16/0.52 fof(f739,plain,(
% 0.16/0.52 spl0_38 <=> member(null_class,element_relation)),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f741,plain,(
% 0.16/0.52 ~member(null_class,element_relation)|spl0_38),
% 0.16/0.52 inference(component_clause,[status(thm)],[f739])).
% 0.16/0.52 fof(f744,plain,(
% 0.16/0.52 spl0_39 <=> member(null_class,cross_product(universal_class,universal_class))),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f746,plain,(
% 0.16/0.52 ~member(null_class,cross_product(universal_class,universal_class))|spl0_39),
% 0.16/0.52 inference(component_clause,[status(thm)],[f744])).
% 0.16/0.52 fof(f747,plain,(
% 0.16/0.52 spl0_40 <=> member(ordered_pair(null_class,null_class),element_relation)),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f748,plain,(
% 0.16/0.52 member(ordered_pair(null_class,null_class),element_relation)|~spl0_40),
% 0.16/0.52 inference(component_clause,[status(thm)],[f747])).
% 0.16/0.52 fof(f750,plain,(
% 0.16/0.52 ~member(null_class,cross_product(universal_class,universal_class))|~member(null_class,null_class)|member(ordered_pair(null_class,null_class),element_relation)|~spl0_3),
% 0.16/0.52 inference(paramodulation,[status(thm)],[f604,f141])).
% 0.16/0.52 fof(f751,plain,(
% 0.16/0.52 ~spl0_39|~spl0_9|spl0_40|~spl0_3),
% 0.16/0.52 inference(split_clause,[status(thm)],[f750,f744,f356,f747,f296])).
% 0.16/0.52 fof(f781,plain,(
% 0.16/0.52 ~inductive(cross_product(universal_class,universal_class))|spl0_39),
% 0.16/0.52 inference(resolution,[status(thm)],[f746,f170])).
% 0.16/0.52 fof(f792,plain,(
% 0.16/0.52 spl0_43 <=> inductive(omega)),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f794,plain,(
% 0.16/0.52 ~inductive(omega)|spl0_43),
% 0.16/0.52 inference(component_clause,[status(thm)],[f792])).
% 0.16/0.52 fof(f795,plain,(
% 0.16/0.52 spl0_44 <=> omega=null_class),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f796,plain,(
% 0.16/0.52 omega=null_class|~spl0_44),
% 0.16/0.52 inference(component_clause,[status(thm)],[f795])).
% 0.16/0.52 fof(f802,plain,(
% 0.16/0.52 $false|spl0_43),
% 0.16/0.52 inference(forward_subsumption_resolution,[status(thm)],[f794,f173])).
% 0.16/0.52 fof(f803,plain,(
% 0.16/0.52 spl0_43),
% 0.16/0.52 inference(contradiction_clause,[status(thm)],[f802])).
% 0.16/0.52 fof(f804,plain,(
% 0.16/0.52 ![X0]: (~subclass(ordered_pair(null_class,X0),x)|ordered_pair(x,X0)=x|~spl0_3)),
% 0.16/0.52 inference(forward_demodulation,[status(thm)],[f297,f446])).
% 0.16/0.52 fof(f805,plain,(
% 0.16/0.52 ![X0]: (~subclass(ordered_pair(null_class,X0),null_class)|ordered_pair(x,X0)=x|~spl0_3)),
% 0.16/0.52 inference(forward_demodulation,[status(thm)],[f297,f804])).
% 0.16/0.52 fof(f806,plain,(
% 0.16/0.52 ![X0]: (~subclass(ordered_pair(null_class,X0),null_class)|ordered_pair(null_class,X0)=x|~spl0_3)),
% 0.16/0.52 inference(forward_demodulation,[status(thm)],[f297,f805])).
% 0.16/0.52 fof(f807,plain,(
% 0.16/0.52 ![X0]: (~subclass(ordered_pair(null_class,X0),null_class)|ordered_pair(null_class,X0)=null_class|~spl0_3)),
% 0.16/0.52 inference(forward_demodulation,[status(thm)],[f297,f806])).
% 0.16/0.52 fof(f808,plain,(
% 0.16/0.52 spl0_45 <=> subclass(null_class,null_class)),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f810,plain,(
% 0.16/0.52 ~subclass(null_class,null_class)|spl0_45),
% 0.16/0.52 inference(component_clause,[status(thm)],[f808])).
% 0.16/0.52 fof(f811,plain,(
% 0.16/0.52 spl0_46 <=> ordered_pair(null_class,null_class)=null_class),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f812,plain,(
% 0.16/0.52 ordered_pair(null_class,null_class)=null_class|~spl0_46),
% 0.16/0.52 inference(component_clause,[status(thm)],[f811])).
% 0.16/0.52 fof(f814,plain,(
% 0.16/0.52 ~subclass(null_class,null_class)|ordered_pair(null_class,null_class)=null_class|~spl0_3),
% 0.16/0.52 inference(paramodulation,[status(thm)],[f604,f807])).
% 0.16/0.52 fof(f815,plain,(
% 0.16/0.52 ~spl0_45|spl0_46|~spl0_3),
% 0.16/0.52 inference(split_clause,[status(thm)],[f814,f808,f811,f296])).
% 0.16/0.52 fof(f816,plain,(
% 0.16/0.52 $false|spl0_45),
% 0.16/0.52 inference(forward_subsumption_resolution,[status(thm)],[f810,f248])).
% 0.16/0.52 fof(f817,plain,(
% 0.16/0.52 spl0_45),
% 0.16/0.52 inference(contradiction_clause,[status(thm)],[f816])).
% 0.16/0.52 fof(f858,plain,(
% 0.16/0.52 member(singleton(x),x)),
% 0.16/0.52 inference(paramodulation,[status(thm)],[f429,f422])).
% 0.16/0.52 fof(f859,plain,(
% 0.16/0.52 member(x,x)),
% 0.16/0.52 inference(forward_demodulation,[status(thm)],[f252,f858])).
% 0.16/0.52 fof(f887,plain,(
% 0.16/0.52 spl0_54 <=> omega=omega),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f890,plain,(
% 0.16/0.52 omega=omega|~inductive(omega)|~inductive(omega)),
% 0.16/0.52 inference(resolution,[status(thm)],[f267,f174])).
% 0.16/0.52 fof(f891,plain,(
% 0.16/0.52 spl0_54|~spl0_43),
% 0.16/0.52 inference(split_clause,[status(thm)],[f890,f887,f792])).
% 0.16/0.52 fof(f894,plain,(
% 0.16/0.52 spl0_55 <=> subclass(x,singleton(x))),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f897,plain,(
% 0.16/0.52 ~member(x,universal_class)|subclass(x,singleton(x))),
% 0.16/0.52 inference(resolution,[status(thm)],[f286,f381])).
% 0.16/0.52 fof(f898,plain,(
% 0.16/0.52 ~spl0_13|spl0_55),
% 0.16/0.52 inference(split_clause,[status(thm)],[f897,f393,f894])).
% 0.16/0.52 fof(f899,plain,(
% 0.16/0.52 ~member(x,universal_class)|member(x,x)),
% 0.16/0.52 inference(paramodulation,[status(thm)],[f252,f286])).
% 0.16/0.52 fof(f900,plain,(
% 0.16/0.52 ~spl0_13|spl0_8),
% 0.16/0.52 inference(split_clause,[status(thm)],[f899,f393,f337])).
% 0.16/0.52 fof(f962,plain,(
% 0.16/0.52 spl0_60 <=> member(x,X0)|subclass(x,complement(X0))),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f965,plain,(
% 0.16/0.52 ![X0]: (~member(x,universal_class)|member(x,X0)|subclass(x,complement(X0)))),
% 0.16/0.52 inference(resolution,[status(thm)],[f148,f381])).
% 0.16/0.52 fof(f966,plain,(
% 0.16/0.52 ~spl0_13|spl0_60),
% 0.16/0.52 inference(split_clause,[status(thm)],[f965,f393,f962])).
% 0.16/0.52 fof(f976,plain,(
% 0.16/0.52 ![X0]: (~member(X0,x)|~member(X0,x)|member(X0,null_class)|~spl0_24)),
% 0.16/0.52 inference(paramodulation,[status(thm)],[f485,f146])).
% 0.16/0.52 fof(f977,plain,(
% 0.16/0.52 ![X0]: (~member(X0,x)|member(X0,null_class)|~spl0_24)),
% 0.16/0.52 inference(duplicate_literals_removal,[status(esa)],[f976])).
% 0.16/0.52 fof(f978,plain,(
% 0.16/0.52 ![X0]: (~member(X0,null_class)|member(X0,x)|~spl0_24)),
% 0.16/0.52 inference(paramodulation,[status(thm)],[f485,f143])).
% 0.16/0.52 fof(f1017,plain,(
% 0.16/0.52 member(x,null_class)|~spl0_24),
% 0.16/0.52 inference(resolution,[status(thm)],[f977,f859])).
% 0.16/0.52 fof(f1031,plain,(
% 0.16/0.52 subclass(x,null_class)|~spl0_24),
% 0.16/0.52 inference(resolution,[status(thm)],[f1017,f381])).
% 0.16/0.52 fof(f1035,plain,(
% 0.16/0.52 ![X0]: (member(not_subclass_element(null_class,X0),x)|subclass(null_class,X0)|~spl0_24)),
% 0.16/0.52 inference(resolution,[status(thm)],[f978,f117])).
% 0.16/0.52 fof(f1050,plain,(
% 0.16/0.52 spl0_68 <=> subclass(null_class,x)),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f1053,plain,(
% 0.16/0.52 ~subclass(null_class,x)|null_class=x|~spl0_24),
% 0.16/0.52 inference(resolution,[status(thm)],[f1031,f122])).
% 0.16/0.52 fof(f1054,plain,(
% 0.16/0.52 ~spl0_68|spl0_3|~spl0_24),
% 0.16/0.52 inference(split_clause,[status(thm)],[f1053,f1050,f296,f484])).
% 0.16/0.52 fof(f1063,plain,(
% 0.16/0.52 subclass(null_class,x)|subclass(null_class,x)|~spl0_24),
% 0.16/0.52 inference(resolution,[status(thm)],[f1035,f118])).
% 0.16/0.52 fof(f1064,plain,(
% 0.16/0.52 spl0_68|~spl0_24),
% 0.16/0.52 inference(split_clause,[status(thm)],[f1063,f1050,f484])).
% 0.16/0.52 fof(f1104,plain,(
% 0.16/0.52 ![X0]: (~member(X0,x)|X0=null_class|~spl0_3)),
% 0.16/0.52 inference(backward_demodulation,[status(thm)],[f297,f292])).
% 0.16/0.52 fof(f1105,plain,(
% 0.16/0.52 ![X0]: (~member(X0,null_class)|X0=null_class|~spl0_3)),
% 0.16/0.52 inference(forward_demodulation,[status(thm)],[f297,f1104])).
% 0.16/0.52 fof(f1134,plain,(
% 0.16/0.52 ~member(null_class,universal_class)|member(null_class,null_class)|~spl0_3),
% 0.16/0.52 inference(paramodulation,[status(thm)],[f316,f286])).
% 0.16/0.52 fof(f1135,plain,(
% 0.16/0.52 ~spl0_28|spl0_9|~spl0_3),
% 0.16/0.52 inference(split_clause,[status(thm)],[f1134,f570,f356,f296])).
% 0.16/0.52 fof(f1292,plain,(
% 0.16/0.52 spl0_77 <=> function(universal_class)),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f1300,plain,(
% 0.16/0.52 spl0_79 <=> universal_class=cross_product(universal_class,universal_class)),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f1301,plain,(
% 0.16/0.52 universal_class=cross_product(universal_class,universal_class)|~spl0_79),
% 0.16/0.52 inference(component_clause,[status(thm)],[f1300])).
% 0.16/0.52 fof(f1303,plain,(
% 0.16/0.52 ~function(universal_class)|universal_class=cross_product(universal_class,universal_class)),
% 0.16/0.52 inference(resolution,[status(thm)],[f185,f268])).
% 0.16/0.52 fof(f1304,plain,(
% 0.16/0.52 ~spl0_77|spl0_79),
% 0.16/0.52 inference(split_clause,[status(thm)],[f1303,f1292,f1300])).
% 0.16/0.52 fof(f1330,plain,(
% 0.16/0.52 spl0_81 <=> ~inductive(compose(X0,X1))),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f1331,plain,(
% 0.16/0.52 ![X0,X1]: (~inductive(compose(X0,X1))|~spl0_81)),
% 0.16/0.52 inference(component_clause,[status(thm)],[f1330])).
% 0.16/0.52 fof(f1333,plain,(
% 0.16/0.52 ![X0,X1]: (~inductive(compose(X0,X1))|member(null_class,cross_product(universal_class,universal_class)))),
% 0.16/0.52 inference(resolution,[status(thm)],[f264,f180])).
% 0.16/0.52 fof(f1334,plain,(
% 0.16/0.52 spl0_81|spl0_39),
% 0.16/0.52 inference(split_clause,[status(thm)],[f1333,f1330,f744])).
% 0.16/0.52 fof(f1340,plain,(
% 0.16/0.52 spl0_83 <=> ~inductive(compose_class(X0))),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f1343,plain,(
% 0.16/0.52 ![X0]: (~inductive(compose_class(X0))|member(null_class,cross_product(universal_class,universal_class)))),
% 0.16/0.52 inference(resolution,[status(thm)],[f264,f220])).
% 0.16/0.52 fof(f1344,plain,(
% 0.16/0.52 spl0_83|spl0_39),
% 0.16/0.52 inference(split_clause,[status(thm)],[f1343,f1340,f744])).
% 0.16/0.52 fof(f1346,plain,(
% 0.16/0.52 spl0_84 <=> inductive(domain_relation)),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f1348,plain,(
% 0.16/0.52 ~inductive(domain_relation)|spl0_84),
% 0.16/0.52 inference(component_clause,[status(thm)],[f1346])).
% 0.16/0.52 fof(f1349,plain,(
% 0.16/0.52 ~inductive(domain_relation)|member(null_class,cross_product(universal_class,universal_class))),
% 0.16/0.52 inference(resolution,[status(thm)],[f264,f226])).
% 0.16/0.52 fof(f1350,plain,(
% 0.16/0.52 ~spl0_84|spl0_39),
% 0.16/0.52 inference(split_clause,[status(thm)],[f1349,f1346,f744])).
% 0.16/0.52 fof(f1351,plain,(
% 0.16/0.52 spl0_85 <=> inductive(successor_relation)),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f1354,plain,(
% 0.16/0.52 ~inductive(successor_relation)|member(null_class,cross_product(universal_class,universal_class))),
% 0.16/0.52 inference(resolution,[status(thm)],[f264,f167])).
% 0.16/0.52 fof(f1355,plain,(
% 0.16/0.52 ~spl0_85|spl0_39),
% 0.16/0.52 inference(split_clause,[status(thm)],[f1354,f1351,f744])).
% 0.16/0.52 fof(f1356,plain,(
% 0.16/0.52 spl0_86 <=> inductive(element_relation)),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f1359,plain,(
% 0.16/0.52 ~inductive(element_relation)|member(null_class,cross_product(universal_class,universal_class))),
% 0.16/0.52 inference(resolution,[status(thm)],[f264,f139])).
% 0.16/0.52 fof(f1360,plain,(
% 0.16/0.52 ~spl0_86|spl0_39),
% 0.16/0.52 inference(split_clause,[status(thm)],[f1359,f1356,f744])).
% 0.16/0.52 fof(f1361,plain,(
% 0.16/0.52 spl0_87 <=> member(null_class,X0)|~inductive(X0)),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f1364,plain,(
% 0.16/0.52 ![X0]: (~inductive(omega)|member(null_class,X0)|~inductive(X0))),
% 0.16/0.52 inference(resolution,[status(thm)],[f264,f174])).
% 0.16/0.52 fof(f1365,plain,(
% 0.16/0.52 ~spl0_43|spl0_87),
% 0.16/0.52 inference(split_clause,[status(thm)],[f1364,f792,f1361])).
% 0.16/0.52 fof(f1366,plain,(
% 0.16/0.52 spl0_88 <=> ~inductive(X0)|~function(X0)),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f1369,plain,(
% 0.16/0.52 ![X0]: (~inductive(X0)|member(null_class,cross_product(universal_class,universal_class))|~function(X0))),
% 0.16/0.52 inference(resolution,[status(thm)],[f264,f185])).
% 0.16/0.52 fof(f1370,plain,(
% 0.16/0.52 spl0_88|spl0_39),
% 0.16/0.52 inference(split_clause,[status(thm)],[f1369,f1366,f744])).
% 0.16/0.52 fof(f1371,plain,(
% 0.16/0.52 spl0_89 <=> ~inductive(X0)),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f1372,plain,(
% 0.16/0.52 ![X0]: (~inductive(X0)|~spl0_89)),
% 0.16/0.52 inference(component_clause,[status(thm)],[f1371])).
% 0.16/0.52 fof(f1374,plain,(
% 0.16/0.52 ![X0]: (~inductive(X0)|member(null_class,universal_class))),
% 0.16/0.52 inference(resolution,[status(thm)],[f264,f119])).
% 0.16/0.52 fof(f1375,plain,(
% 0.16/0.52 spl0_89|spl0_28),
% 0.16/0.52 inference(split_clause,[status(thm)],[f1374,f1371,f570])).
% 0.16/0.52 fof(f1459,plain,(
% 0.16/0.52 $false|~spl0_89),
% 0.16/0.52 inference(forward_subsumption_resolution,[status(thm)],[f173,f1372])).
% 0.16/0.52 fof(f1460,plain,(
% 0.16/0.52 ~spl0_89),
% 0.16/0.52 inference(contradiction_clause,[status(thm)],[f1459])).
% 0.16/0.52 fof(f1477,plain,(
% 0.16/0.52 ![X0,X1]: (~member(X0,null_class)|X0=X1|~spl0_37)),
% 0.16/0.52 inference(forward_demodulation,[status(thm)],[f734,f284])).
% 0.16/0.52 fof(f1485,plain,(
% 0.16/0.52 spl0_99 <=> null_class=X0),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f1486,plain,(
% 0.16/0.52 ![X0]: (null_class=X0|~spl0_99)),
% 0.16/0.52 inference(component_clause,[status(thm)],[f1485])).
% 0.16/0.52 fof(f1488,plain,(
% 0.16/0.52 ![X0]: (null_class=X0|~inductive(null_class)|~spl0_37)),
% 0.16/0.52 inference(resolution,[status(thm)],[f1477,f170])).
% 0.16/0.52 fof(f1489,plain,(
% 0.16/0.52 spl0_99|~spl0_7|~spl0_37),
% 0.16/0.52 inference(split_clause,[status(thm)],[f1488,f1485,f331,f733])).
% 0.16/0.52 fof(f1569,plain,(
% 0.16/0.52 ![X0,X1]: (X0=X1|~spl0_99)),
% 0.16/0.52 inference(paramodulation,[status(thm)],[f1486,f1486])).
% 0.16/0.52 fof(f1591,plain,(
% 0.16/0.52 inductive(null_class)|~spl0_44),
% 0.16/0.52 inference(backward_demodulation,[status(thm)],[f796,f173])).
% 0.16/0.52 fof(f1592,plain,(
% 0.16/0.52 $false|spl0_7|~spl0_44),
% 0.16/0.52 inference(forward_subsumption_resolution,[status(thm)],[f1591,f333])).
% 0.16/0.52 fof(f1593,plain,(
% 0.16/0.52 spl0_7|~spl0_44),
% 0.16/0.52 inference(contradiction_clause,[status(thm)],[f1592])).
% 0.16/0.52 fof(f1685,plain,(
% 0.16/0.52 spl0_103 <=> inductive(cross_product(universal_class,universal_class))),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f1688,plain,(
% 0.16/0.52 spl0_104 <=> function(image(successor_relation,cross_product(universal_class,universal_class)))),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f1691,plain,(
% 0.16/0.52 ~member(null_class,cross_product(universal_class,universal_class))|inductive(cross_product(universal_class,universal_class))|~function(image(successor_relation,cross_product(universal_class,universal_class)))),
% 0.16/0.52 inference(resolution,[status(thm)],[f172,f185])).
% 0.16/0.52 fof(f1692,plain,(
% 0.16/0.52 ~spl0_39|spl0_103|~spl0_104),
% 0.16/0.52 inference(split_clause,[status(thm)],[f1691,f744,f1685,f1688])).
% 0.16/0.52 fof(f1693,plain,(
% 0.16/0.52 spl0_105 <=> inductive(universal_class)),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f1694,plain,(
% 0.16/0.52 inductive(universal_class)|~spl0_105),
% 0.16/0.52 inference(component_clause,[status(thm)],[f1693])).
% 0.16/0.52 fof(f1696,plain,(
% 0.16/0.52 ~member(null_class,universal_class)|inductive(universal_class)),
% 0.16/0.52 inference(resolution,[status(thm)],[f172,f119])).
% 0.16/0.52 fof(f1697,plain,(
% 0.16/0.52 ~spl0_28|spl0_105),
% 0.16/0.52 inference(split_clause,[status(thm)],[f1696,f570,f1693])).
% 0.16/0.52 fof(f1784,plain,(
% 0.16/0.52 member(null_class,element_relation)|~spl0_46|~spl0_40),
% 0.16/0.52 inference(forward_demodulation,[status(thm)],[f812,f748])).
% 0.16/0.52 fof(f1785,plain,(
% 0.16/0.52 $false|spl0_38|~spl0_46|~spl0_40),
% 0.16/0.52 inference(forward_subsumption_resolution,[status(thm)],[f1784,f741])).
% 0.16/0.52 fof(f1786,plain,(
% 0.16/0.52 spl0_38|~spl0_46|~spl0_40),
% 0.16/0.52 inference(contradiction_clause,[status(thm)],[f1785])).
% 0.16/0.52 fof(f1798,plain,(
% 0.16/0.52 spl0_106 <=> unordered_pair(X0,X1)=null_class),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f1799,plain,(
% 0.16/0.52 ![X0,X1]: (unordered_pair(X0,X1)=null_class|~spl0_106)),
% 0.16/0.52 inference(component_clause,[status(thm)],[f1798])).
% 0.16/0.52 fof(f1820,plain,(
% 0.16/0.52 ![X0]: (inductive(X0)|~spl0_44|~spl0_99)),
% 0.16/0.52 inference(paramodulation,[status(thm)],[f1569,f1591])).
% 0.16/0.52 fof(f1829,plain,(
% 0.16/0.52 $false|~spl0_44|~spl0_99|~spl0_81),
% 0.16/0.52 inference(backward_subsumption_resolution,[status(thm)],[f1331,f1820])).
% 0.16/0.52 fof(f1830,plain,(
% 0.16/0.52 ~spl0_44|~spl0_99|~spl0_81),
% 0.16/0.52 inference(contradiction_clause,[status(thm)],[f1829])).
% 0.16/0.52 fof(f1924,plain,(
% 0.16/0.52 spl0_110 <=> inductive(subset_relation)),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f1929,plain,(
% 0.16/0.52 member(null_class,cross_product(universal_class,universal_class))|~inductive(subset_relation)),
% 0.16/0.52 inference(paramodulation,[status(thm)],[f197,f459])).
% 0.16/0.52 fof(f1930,plain,(
% 0.16/0.52 spl0_39|~spl0_110),
% 0.16/0.52 inference(split_clause,[status(thm)],[f1929,f744,f1924])).
% 0.16/0.52 fof(f1935,plain,(
% 0.16/0.52 ![X0]: (null_class=singleton(X0)|~spl0_106)),
% 0.16/0.52 inference(backward_demodulation,[status(thm)],[f1799,f130])).
% 0.16/0.52 fof(f1936,plain,(
% 0.16/0.52 spl0_37|~spl0_106),
% 0.16/0.52 inference(split_clause,[status(thm)],[f1935,f733,f1798])).
% 0.16/0.52 fof(f2009,plain,(
% 0.16/0.52 $false|spl0_6),
% 0.16/0.52 inference(trivial_equality_resolution,[status(esa)],[f328])).
% 0.16/0.52 fof(f2010,plain,(
% 0.16/0.52 spl0_6),
% 0.16/0.52 inference(contradiction_clause,[status(thm)],[f2009])).
% 0.16/0.52 fof(f2094,plain,(
% 0.16/0.52 spl0_120 <=> subclass(universal_class,element_relation)),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f2097,plain,(
% 0.16/0.52 spl0_121 <=> member(X0,X1)),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f2098,plain,(
% 0.16/0.52 ![X0,X1]: (member(X0,X1)|~spl0_121)),
% 0.16/0.52 inference(component_clause,[status(thm)],[f2097])).
% 0.16/0.52 fof(f2100,plain,(
% 0.16/0.52 ![X0,X1]: (~subclass(universal_class,element_relation)|member(X0,X1))),
% 0.16/0.52 inference(resolution,[status(thm)],[f439,f140])).
% 0.16/0.52 fof(f2101,plain,(
% 0.16/0.52 ~spl0_120|spl0_121),
% 0.16/0.52 inference(split_clause,[status(thm)],[f2100,f2094,f2097])).
% 0.16/0.52 fof(f2108,plain,(
% 0.16/0.52 spl0_123 <=> ordered_pair(X0,X1)=null_class),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f2109,plain,(
% 0.16/0.52 ![X0,X1]: (ordered_pair(X0,X1)=null_class|~spl0_123)),
% 0.16/0.52 inference(component_clause,[status(thm)],[f2108])).
% 0.16/0.52 fof(f2131,plain,(
% 0.16/0.52 ![X0]: (member(null_class,X0)|X0=null_class|~spl0_3|~spl0_8)),
% 0.16/0.52 inference(resolution,[status(thm)],[f490,f587])).
% 0.16/0.52 fof(f2235,plain,(
% 0.16/0.52 ![X0,X1]: (~member(null_class,element_relation)|member(X0,X1)|~spl0_123)),
% 0.16/0.52 inference(backward_demodulation,[status(thm)],[f2109,f140])).
% 0.16/0.52 fof(f2236,plain,(
% 0.16/0.52 ~spl0_38|spl0_121|~spl0_123),
% 0.16/0.52 inference(split_clause,[status(thm)],[f2235,f739,f2097,f2108])).
% 0.16/0.52 fof(f2255,plain,(
% 0.16/0.52 ![X0]: (singleton(X0)=null_class|null_class=X0|~spl0_3|~spl0_8)),
% 0.16/0.52 inference(resolution,[status(thm)],[f2131,f284])).
% 0.16/0.52 fof(f2262,plain,(
% 0.16/0.52 ![X0,X1]: (~member(X0,X1)|~spl0_121)),
% 0.16/0.52 inference(backward_subsumption_resolution,[status(thm)],[f147,f2098])).
% 0.16/0.52 fof(f2263,plain,(
% 0.16/0.52 spl0_25|~spl0_121),
% 0.16/0.52 inference(split_clause,[status(thm)],[f2262,f493,f2097])).
% 0.16/0.52 fof(f2266,plain,(
% 0.16/0.52 ~inductive(universal_class)|~spl0_79|spl0_39),
% 0.16/0.52 inference(backward_demodulation,[status(thm)],[f1301,f781])).
% 0.16/0.52 fof(f2267,plain,(
% 0.16/0.52 $false|~spl0_105|~spl0_79|spl0_39),
% 0.16/0.52 inference(forward_subsumption_resolution,[status(thm)],[f2266,f1694])).
% 0.16/0.52 fof(f2268,plain,(
% 0.16/0.52 ~spl0_105|~spl0_79|spl0_39),
% 0.16/0.52 inference(contradiction_clause,[status(thm)],[f2267])).
% 0.16/0.52 fof(f2414,plain,(
% 0.16/0.52 spl0_138 <=> domain_of(X0)=X1),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f2415,plain,(
% 0.16/0.52 ![X0,X1]: (domain_of(X0)=X1|~spl0_138)),
% 0.16/0.52 inference(component_clause,[status(thm)],[f2414])).
% 0.16/0.52 fof(f2561,plain,(
% 0.16/0.52 ![X0,X1]: (X0=X1|~spl0_138)),
% 0.16/0.52 inference(paramodulation,[status(thm)],[f2415,f2415])).
% 0.16/0.52 fof(f2567,plain,(
% 0.16/0.52 ![X0]: (~inductive(X0)|spl0_84|~spl0_138)),
% 0.16/0.52 inference(paramodulation,[status(thm)],[f2561,f1348])).
% 0.16/0.52 fof(f2568,plain,(
% 0.16/0.52 spl0_89|spl0_84|~spl0_138),
% 0.16/0.52 inference(split_clause,[status(thm)],[f2567,f1371,f1346,f2414])).
% 0.16/0.52 fof(f2826,plain,(
% 0.16/0.52 ![X0]: (~member(X0,universal_class)|member(X0,null_class)|null_class=X0|~spl0_3|~spl0_8)),
% 0.16/0.52 inference(paramodulation,[status(thm)],[f2255,f286])).
% 0.16/0.52 fof(f2827,plain,(
% 0.16/0.52 ![X0]: (~member(X0,universal_class)|null_class=X0|~spl0_3|~spl0_8)),
% 0.16/0.52 inference(forward_subsumption_resolution,[status(thm)],[f2826,f1105])).
% 0.16/0.52 fof(f2844,plain,(
% 0.16/0.52 spl0_161 <=> ~function(X0)),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f2845,plain,(
% 0.16/0.52 ![X0]: (~function(X0)|~spl0_161)),
% 0.16/0.52 inference(component_clause,[status(thm)],[f2844])).
% 0.16/0.52 fof(f2852,plain,(
% 0.16/0.52 spl0_163 <=> ~subclass(X0,null_class)),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f2853,plain,(
% 0.16/0.52 ![X0]: (~subclass(X0,null_class)|~spl0_163)),
% 0.16/0.52 inference(component_clause,[status(thm)],[f2852])).
% 0.16/0.52 fof(f2875,plain,(
% 0.16/0.52 $false|~spl0_161),
% 0.16/0.52 inference(backward_subsumption_resolution,[status(thm)],[f192,f2845])).
% 0.16/0.52 fof(f2876,plain,(
% 0.16/0.52 ~spl0_161),
% 0.16/0.52 inference(contradiction_clause,[status(thm)],[f2875])).
% 0.16/0.52 fof(f2886,plain,(
% 0.16/0.52 $false|~spl0_163),
% 0.16/0.52 inference(resolution,[status(thm)],[f2853,f248])).
% 0.16/0.52 fof(f2887,plain,(
% 0.16/0.52 ~spl0_163),
% 0.16/0.52 inference(contradiction_clause,[status(thm)],[f2886])).
% 0.16/0.52 fof(f3288,plain,(
% 0.16/0.52 ![X0,X1]: (null_class=ordered_pair(X0,X1)|~spl0_3|~spl0_8)),
% 0.16/0.52 inference(resolution,[status(thm)],[f2827,f424])).
% 0.16/0.52 fof(f3289,plain,(
% 0.16/0.52 spl0_123|~spl0_3|~spl0_8),
% 0.16/0.52 inference(split_clause,[status(thm)],[f3288,f2108,f296,f337])).
% 0.16/0.52 fof(f3295,plain,(
% 0.16/0.52 null_class=omega|~spl0_3|~spl0_8),
% 0.16/0.52 inference(resolution,[status(thm)],[f2827,f175])).
% 0.16/0.52 fof(f3296,plain,(
% 0.16/0.52 spl0_44|~spl0_3|~spl0_8),
% 0.16/0.52 inference(split_clause,[status(thm)],[f3295,f795,f296,f337])).
% 0.16/0.52 fof(f3297,plain,(
% 0.16/0.52 ![X0,X1]: (null_class=unordered_pair(X0,X1)|~spl0_3|~spl0_8)),
% 0.16/0.52 inference(resolution,[status(thm)],[f2827,f129])).
% 0.16/0.52 fof(f3298,plain,(
% 0.16/0.52 spl0_106|~spl0_3|~spl0_8),
% 0.16/0.52 inference(split_clause,[status(thm)],[f3297,f1798,f296,f337])).
% 0.16/0.52 fof(f3305,plain,(
% 0.16/0.52 $false),
% 0.16/0.52 inference(sat_refutation,[status(thm)],[f300,f397,f402,f404,f436,f488,f500,f584,f751,f803,f815,f817,f891,f898,f900,f966,f1054,f1064,f1135,f1304,f1334,f1344,f1350,f1355,f1360,f1365,f1370,f1375,f1460,f1489,f1593,f1692,f1697,f1786,f1830,f1930,f1936,f2010,f2101,f2236,f2263,f2268,f2568,f2876,f2887,f3289,f3296,f3298])).
% 0.16/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.52 % Elapsed time: 0.208478 seconds
% 0.16/0.52 % CPU time: 1.040228 seconds
% 0.16/0.52 % Memory used: 71.418 MB
%------------------------------------------------------------------------------