TSTP Solution File: NUM156-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM156-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 12:24:34 EDT 2023
% Result : Unsatisfiable 77.67s 10.22s
% Output : CNFRefutation 78.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : NUM156-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n023.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 10:11:08 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.5.1
% 77.67/10.22 % Refutation found
% 77.67/10.22 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 77.67/10.22 % SZS output start CNFRefutation for theBenchmark
% 77.67/10.22 fof(f1,axiom,(
% 77.67/10.22 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 77.67/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.67/10.22 fof(f2,axiom,(
% 77.67/10.22 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 77.67/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.67/10.22 fof(f3,axiom,(
% 77.67/10.22 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 77.67/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.67/10.22 fof(f4,axiom,(
% 77.67/10.22 (![X]: (subclass(X,universal_class) ))),
% 77.67/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.67/10.22 fof(f5,axiom,(
% 77.67/10.22 (![X,Y]: (( X != Y| subclass(X,Y) ) ))),
% 77.67/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.67/10.22 fof(f7,axiom,(
% 77.67/10.22 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 77.67/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.67/10.22 fof(f9,axiom,(
% 77.67/10.22 (![X,Y]: (( ~ member(X,universal_class)| member(X,unordered_pair(X,Y)) ) ))),
% 77.67/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.67/10.22 fof(f11,axiom,(
% 77.67/10.22 (![X,Y]: (member(unordered_pair(X,Y),universal_class) ))),
% 77.67/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.67/10.22 fof(f12,axiom,(
% 77.67/10.22 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 77.67/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.67/10.22 fof(f21,axiom,(
% 77.67/10.22 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 77.67/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.67/10.22 fof(f22,axiom,(
% 77.67/10.22 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 77.67/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.67/10.22 fof(f24,axiom,(
% 77.67/10.22 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 77.67/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.67/10.22 fof(f25,axiom,(
% 77.67/10.22 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 77.67/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.67/10.22 fof(f26,axiom,(
% 77.67/10.22 (![X,Y]: (complement(intersection(complement(X),complement(Y))) = union(X,Y) ))),
% 77.67/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.67/10.22 fof(f27,axiom,(
% 77.67/10.22 (![X,Y]: (intersection(complement(intersection(X,Y)),complement(intersection(complement(X),complement(Y)))) = symmetric_difference(X,Y) ))),
% 77.67/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.67/10.22 fof(f28,axiom,(
% 77.67/10.22 (![Xr,X,Y]: (intersection(Xr,cross_product(X,Y)) = restrict(Xr,X,Y) ))),
% 77.67/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.67/10.22 fof(f47,axiom,(
% 77.67/10.22 (![X]: (( ~ inductive(X)| member(null_class,X) ) ))),
% 77.67/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.67/10.22 fof(f50,axiom,(
% 77.67/10.22 inductive(omega) ),
% 77.67/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.67/10.22 fof(f67,axiom,(
% 77.67/10.22 (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 77.67/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.67/10.22 fof(f138,axiom,(
% 77.67/10.22 union(singleton(null_class),image(successor_relation,ordinal_numbers)) = kind_1_ordinals ),
% 77.67/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.67/10.22 fof(f139,axiom,(
% 77.67/10.22 intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals ),
% 77.67/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.67/10.22 fof(f159,negated_conjecture,(
% 77.67/10.22 ~ member(null_class,kind_1_ordinals) ),
% 77.67/10.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 77.67/10.22 fof(f160,plain,(
% 77.67/10.22 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 77.67/10.22 inference(miniscoping,[status(esa)],[f1])).
% 77.67/10.22 fof(f161,plain,(
% 77.67/10.22 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 77.67/10.22 inference(cnf_transformation,[status(esa)],[f160])).
% 77.67/10.22 fof(f162,plain,(
% 77.67/10.22 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 77.67/10.22 inference(cnf_transformation,[status(esa)],[f2])).
% 77.67/10.22 fof(f163,plain,(
% 77.67/10.22 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 77.67/10.22 inference(cnf_transformation,[status(esa)],[f3])).
% 77.67/10.22 fof(f164,plain,(
% 77.67/10.22 ![X0]: (subclass(X0,universal_class))),
% 77.67/10.22 inference(cnf_transformation,[status(esa)],[f4])).
% 77.67/10.22 fof(f165,plain,(
% 77.67/10.22 ![X0,X1]: (~X0=X1|subclass(X0,X1))),
% 77.67/10.22 inference(cnf_transformation,[status(esa)],[f5])).
% 77.67/10.22 fof(f167,plain,(
% 77.67/10.22 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 77.67/10.22 inference(cnf_transformation,[status(esa)],[f7])).
% 77.67/10.22 fof(f170,plain,(
% 77.67/10.22 ![X]: (~member(X,universal_class)|(![Y]: member(X,unordered_pair(X,Y))))),
% 77.67/10.22 inference(miniscoping,[status(esa)],[f9])).
% 77.67/10.22 fof(f171,plain,(
% 77.67/10.22 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X0,X1)))),
% 77.67/10.22 inference(cnf_transformation,[status(esa)],[f170])).
% 77.67/10.22 fof(f174,plain,(
% 77.67/10.22 ![X0,X1]: (member(unordered_pair(X0,X1),universal_class))),
% 77.67/10.22 inference(cnf_transformation,[status(esa)],[f11])).
% 77.67/10.22 fof(f175,plain,(
% 77.67/10.22 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 77.67/10.22 inference(cnf_transformation,[status(esa)],[f12])).
% 77.67/10.22 fof(f187,plain,(
% 77.67/10.22 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 77.67/10.22 inference(miniscoping,[status(esa)],[f21])).
% 77.67/10.22 fof(f188,plain,(
% 77.67/10.22 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 77.67/10.22 inference(cnf_transformation,[status(esa)],[f187])).
% 77.67/10.22 fof(f189,plain,(
% 77.67/10.22 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 77.67/10.22 inference(miniscoping,[status(esa)],[f22])).
% 77.67/10.22 fof(f190,plain,(
% 77.67/10.22 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 77.67/10.22 inference(cnf_transformation,[status(esa)],[f189])).
% 77.67/10.22 fof(f192,plain,(
% 77.67/10.22 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 77.67/10.22 inference(cnf_transformation,[status(esa)],[f24])).
% 77.67/10.22 fof(f193,plain,(
% 77.67/10.22 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 77.67/10.22 inference(cnf_transformation,[status(esa)],[f25])).
% 77.67/10.22 fof(f194,plain,(
% 77.67/10.22 ![X0,X1]: (complement(intersection(complement(X0),complement(X1)))=union(X0,X1))),
% 77.67/10.22 inference(cnf_transformation,[status(esa)],[f26])).
% 77.67/10.22 fof(f195,plain,(
% 77.67/10.22 ![X0,X1]: (intersection(complement(intersection(X0,X1)),complement(intersection(complement(X0),complement(X1))))=symmetric_difference(X0,X1))),
% 77.67/10.22 inference(cnf_transformation,[status(esa)],[f27])).
% 77.67/10.22 fof(f196,plain,(
% 77.67/10.22 ![X0,X1,X2]: (intersection(X0,cross_product(X1,X2))=restrict(X0,X1,X2))),
% 77.67/10.22 inference(cnf_transformation,[status(esa)],[f28])).
% 77.67/10.22 fof(f215,plain,(
% 77.67/10.23 ![X0]: (~inductive(X0)|member(null_class,X0))),
% 77.67/10.23 inference(cnf_transformation,[status(esa)],[f47])).
% 77.67/10.23 fof(f218,plain,(
% 77.67/10.23 inductive(omega)),
% 77.67/10.23 inference(cnf_transformation,[status(esa)],[f50])).
% 77.67/10.23 fof(f235,plain,(
% 77.67/10.23 ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 77.67/10.23 inference(cnf_transformation,[status(esa)],[f67])).
% 77.67/10.23 fof(f322,plain,(
% 77.67/10.23 union(singleton(null_class),image(successor_relation,ordinal_numbers))=kind_1_ordinals),
% 77.67/10.23 inference(cnf_transformation,[status(esa)],[f138])).
% 77.67/10.23 fof(f323,plain,(
% 77.67/10.23 intersection(complement(kind_1_ordinals),ordinal_numbers)=limit_ordinals),
% 77.67/10.23 inference(cnf_transformation,[status(esa)],[f139])).
% 77.67/10.23 fof(f347,plain,(
% 77.67/10.23 ~member(null_class,kind_1_ordinals)),
% 77.67/10.23 inference(cnf_transformation,[status(esa)],[f159])).
% 77.67/10.23 fof(f348,plain,(
% 77.67/10.23 ![X0]: (subclass(X0,X0))),
% 77.67/10.23 inference(destructive_equality_resolution,[status(esa)],[f165])).
% 77.67/10.23 fof(f351,plain,(
% 77.67/10.23 ![X0]: (~subclass(X0,kind_1_ordinals)|~member(null_class,X0))),
% 77.67/10.23 inference(resolution,[status(thm)],[f161,f347])).
% 77.67/10.23 fof(f353,plain,(
% 77.67/10.23 ![X0,X1]: (~subclass(X0,kind_1_ordinals)|~subclass(X1,X0)|~member(null_class,X1))),
% 77.67/10.23 inference(resolution,[status(thm)],[f351,f161])).
% 77.67/10.23 fof(f384,plain,(
% 77.67/10.23 ![X0,X1]: (subclass(complement(X0),X1)|~member(not_subclass_element(complement(X0),X1),X0))),
% 77.67/10.23 inference(resolution,[status(thm)],[f162,f192])).
% 77.67/10.23 fof(f385,plain,(
% 77.67/10.23 ![X0,X1,X2]: (subclass(X0,X1)|~subclass(X0,X2)|member(not_subclass_element(X0,X1),X2))),
% 77.67/10.23 inference(resolution,[status(thm)],[f162,f161])).
% 77.67/10.23 fof(f393,plain,(
% 77.67/10.23 spl0_0 <=> member(null_class,universal_class)),
% 77.67/10.23 introduced(split_symbol_definition)).
% 77.67/10.23 fof(f395,plain,(
% 77.67/10.23 ~member(null_class,universal_class)|spl0_0),
% 77.67/10.23 inference(component_clause,[status(thm)],[f393])).
% 77.67/10.23 fof(f446,plain,(
% 77.67/10.23 spl0_11 <=> ~subclass(X0,kind_1_ordinals)|~subclass(unordered_pair(null_class,X1),X0)),
% 77.67/10.23 introduced(split_symbol_definition)).
% 77.67/10.23 fof(f447,plain,(
% 77.67/10.23 ![X0,X1]: (~subclass(X0,kind_1_ordinals)|~subclass(unordered_pair(null_class,X1),X0)|~spl0_11)),
% 77.67/10.23 inference(component_clause,[status(thm)],[f446])).
% 77.67/10.23 fof(f449,plain,(
% 77.67/10.23 ![X0,X1]: (~member(null_class,universal_class)|~subclass(X0,kind_1_ordinals)|~subclass(unordered_pair(null_class,X1),X0))),
% 77.67/10.23 inference(resolution,[status(thm)],[f171,f353])).
% 77.67/10.23 fof(f450,plain,(
% 77.67/10.23 ~spl0_0|spl0_11),
% 77.67/10.23 inference(split_clause,[status(thm)],[f449,f393,f446])).
% 77.67/10.23 fof(f540,plain,(
% 77.67/10.23 ![X0]: (~subclass(X0,universal_class)|~member(null_class,X0)|spl0_0)),
% 77.67/10.23 inference(resolution,[status(thm)],[f395,f161])).
% 77.67/10.23 fof(f541,plain,(
% 77.67/10.23 ![X0]: (~member(null_class,X0)|spl0_0)),
% 77.67/10.23 inference(forward_subsumption_resolution,[status(thm)],[f540,f164])).
% 77.67/10.23 fof(f542,plain,(
% 77.67/10.23 ![X0]: (~inductive(X0)|spl0_0)),
% 77.67/10.23 inference(backward_subsumption_resolution,[status(thm)],[f215,f541])).
% 77.67/10.23 fof(f696,plain,(
% 77.67/10.23 ![X0,X1]: (~member(not_subclass_element(X0,complement(X1)),universal_class)|member(not_subclass_element(X0,complement(X1)),X1)|subclass(X0,complement(X1)))),
% 77.67/10.23 inference(resolution,[status(thm)],[f193,f163])).
% 77.67/10.23 fof(f705,plain,(
% 77.67/10.23 ![X0,X1]: (subclass(complement(complement(X0)),X1)|~member(not_subclass_element(complement(complement(X0)),X1),universal_class)|member(not_subclass_element(complement(complement(X0)),X1),X0))),
% 77.67/10.23 inference(resolution,[status(thm)],[f384,f193])).
% 77.67/10.23 fof(f727,plain,(
% 77.67/10.23 ![X0,X1]: (member(not_subclass_element(X0,complement(X1)),X1)|subclass(X0,complement(X1))|subclass(X0,complement(X1))|~subclass(X0,universal_class))),
% 77.67/10.23 inference(resolution,[status(thm)],[f696,f385])).
% 77.67/10.23 fof(f728,plain,(
% 77.67/10.23 ![X0,X1]: (member(not_subclass_element(X0,complement(X1)),X1)|subclass(X0,complement(X1))|~subclass(X0,universal_class))),
% 77.67/10.23 inference(duplicate_literals_removal,[status(esa)],[f727])).
% 77.67/10.23 fof(f729,plain,(
% 77.67/10.23 ![X0,X1]: (member(not_subclass_element(X0,complement(X1)),X1)|subclass(X0,complement(X1)))),
% 77.67/10.23 inference(forward_subsumption_resolution,[status(thm)],[f728,f164])).
% 77.67/10.23 fof(f741,plain,(
% 77.67/10.23 ![X0,X1]: (subclass(X0,complement(complement(X1)))|~member(not_subclass_element(X0,complement(complement(X1))),X1))),
% 77.67/10.23 inference(resolution,[status(thm)],[f729,f192])).
% 77.67/10.23 fof(f770,plain,(
% 77.67/10.23 ![X0]: (subclass(X0,complement(complement(X0)))|subclass(X0,complement(complement(X0))))),
% 77.67/10.23 inference(resolution,[status(thm)],[f741,f162])).
% 77.67/10.23 fof(f771,plain,(
% 77.67/10.23 ![X0]: (subclass(X0,complement(complement(X0))))),
% 77.67/10.23 inference(duplicate_literals_removal,[status(esa)],[f770])).
% 77.67/10.23 fof(f796,plain,(
% 77.67/10.23 ![X0,X1]: (subclass(complement(complement(X0)),X1)|member(not_subclass_element(complement(complement(X0)),X1),X0)|subclass(complement(complement(X0)),X1)|~subclass(complement(complement(X0)),universal_class))),
% 77.67/10.23 inference(resolution,[status(thm)],[f705,f385])).
% 77.67/10.23 fof(f797,plain,(
% 77.67/10.23 ![X0,X1]: (subclass(complement(complement(X0)),X1)|member(not_subclass_element(complement(complement(X0)),X1),X0)|~subclass(complement(complement(X0)),universal_class))),
% 77.67/10.23 inference(duplicate_literals_removal,[status(esa)],[f796])).
% 77.67/10.23 fof(f798,plain,(
% 77.67/10.23 ![X0,X1]: (subclass(complement(complement(X0)),X1)|member(not_subclass_element(complement(complement(X0)),X1),X0))),
% 77.67/10.23 inference(forward_subsumption_resolution,[status(thm)],[f797,f164])).
% 77.67/10.23 fof(f815,plain,(
% 77.67/10.23 ![X0]: (subclass(complement(complement(X0)),X0)|subclass(complement(complement(X0)),X0))),
% 77.67/10.23 inference(resolution,[status(thm)],[f798,f163])).
% 77.67/10.23 fof(f816,plain,(
% 77.67/10.23 ![X0]: (subclass(complement(complement(X0)),X0))),
% 77.67/10.23 inference(duplicate_literals_removal,[status(esa)],[f815])).
% 77.67/10.23 fof(f825,plain,(
% 77.67/10.23 ![X0]: (~subclass(X0,complement(complement(X0)))|X0=complement(complement(X0)))),
% 77.67/10.23 inference(resolution,[status(thm)],[f816,f167])).
% 77.67/10.23 fof(f826,plain,(
% 77.67/10.23 ![X0]: (X0=complement(complement(X0)))),
% 77.67/10.23 inference(forward_subsumption_resolution,[status(thm)],[f825,f771])).
% 77.67/10.23 fof(f842,plain,(
% 77.67/10.23 ![X0,X1]: (complement(intersection(complement(X0),X1))=union(X0,complement(X1)))),
% 77.67/10.23 inference(paramodulation,[status(thm)],[f826,f194])).
% 77.67/10.23 fof(f940,plain,(
% 77.67/10.23 ![X0,X1,X2]: (member(not_subclass_element(X0,complement(intersection(X1,X2))),X1)|subclass(X0,complement(intersection(X1,X2))))),
% 77.67/10.23 inference(resolution,[status(thm)],[f188,f729])).
% 77.67/10.23 fof(f943,plain,(
% 77.67/10.23 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X0)|subclass(intersection(X0,X1),X2))),
% 77.67/10.23 inference(resolution,[status(thm)],[f188,f162])).
% 77.67/10.23 fof(f951,plain,(
% 77.67/10.23 ![X0,X1,X2,X3]: (member(not_subclass_element(X0,X1),X2)|subclass(X0,X1)|~subclass(X0,intersection(X3,X2)))),
% 77.67/10.23 inference(resolution,[status(thm)],[f190,f385])).
% 77.67/10.23 fof(f952,plain,(
% 77.67/10.23 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X1)|subclass(intersection(X0,X1),X2))),
% 77.67/10.23 inference(resolution,[status(thm)],[f190,f162])).
% 77.67/10.23 fof(f956,plain,(
% 77.67/10.23 ![X0,X1]: (subclass(intersection(X0,X1),X0)|subclass(intersection(X0,X1),X0))),
% 77.67/10.23 inference(resolution,[status(thm)],[f943,f163])).
% 77.67/10.23 fof(f957,plain,(
% 77.67/10.23 ![X0,X1]: (subclass(intersection(X0,X1),X0))),
% 77.67/10.23 inference(duplicate_literals_removal,[status(esa)],[f956])).
% 77.67/10.23 fof(f959,plain,(
% 77.67/10.23 ![X0,X1,X2,X3]: (subclass(intersection(intersection(X0,X1),X2),X3)|member(not_subclass_element(intersection(intersection(X0,X1),X2),X3),X0))),
% 77.67/10.23 inference(resolution,[status(thm)],[f943,f188])).
% 77.67/10.23 fof(f981,plain,(
% 77.67/10.23 ![X0,X1]: (subclass(intersection(X0,X1),X1)|subclass(intersection(X0,X1),X1))),
% 77.67/10.23 inference(resolution,[status(thm)],[f952,f163])).
% 77.67/10.23 fof(f982,plain,(
% 77.67/10.23 ![X0,X1]: (subclass(intersection(X0,X1),X1))),
% 77.67/10.23 inference(duplicate_literals_removal,[status(esa)],[f981])).
% 77.67/10.23 fof(f985,plain,(
% 77.67/10.23 ![X0,X1,X2,X3]: (subclass(intersection(X0,intersection(X1,X2)),X3)|member(not_subclass_element(intersection(X0,intersection(X1,X2)),X3),X1))),
% 77.67/10.23 inference(resolution,[status(thm)],[f952,f188])).
% 77.67/10.23 fof(f1032,plain,(
% 77.67/10.23 ![X0,X1]: (subclass(complement(X0),complement(intersection(X0,X1)))|subclass(complement(X0),complement(intersection(X0,X1))))),
% 77.67/10.23 inference(resolution,[status(thm)],[f940,f384])).
% 77.67/10.23 fof(f1033,plain,(
% 77.67/10.23 ![X0,X1]: (subclass(complement(X0),complement(intersection(X0,X1))))),
% 77.67/10.23 inference(duplicate_literals_removal,[status(esa)],[f1032])).
% 77.67/10.23 fof(f1145,plain,(
% 77.67/10.23 ![X0,X1]: (intersection(complement(intersection(X0,X1)),union(X0,X1))=symmetric_difference(X0,X1))),
% 77.67/10.23 inference(forward_demodulation,[status(thm)],[f194,f195])).
% 77.67/10.23 fof(f1153,plain,(
% 77.67/10.23 intersection(complement(intersection(singleton(null_class),image(successor_relation,ordinal_numbers))),kind_1_ordinals)=symmetric_difference(singleton(null_class),image(successor_relation,ordinal_numbers))),
% 77.67/10.23 inference(paramodulation,[status(thm)],[f322,f1145])).
% 77.67/10.23 fof(f1191,plain,(
% 77.67/10.23 ![X0,X1,X2]: (subclass(restrict(X0,X1,X2),X0))),
% 77.67/10.23 inference(paramodulation,[status(thm)],[f196,f957])).
% 77.67/10.23 fof(f1234,plain,(
% 77.67/10.23 subclass(symmetric_difference(singleton(null_class),image(successor_relation,ordinal_numbers)),kind_1_ordinals)),
% 77.67/10.23 inference(paramodulation,[status(thm)],[f1153,f982])).
% 77.67/10.23 fof(f1240,plain,(
% 77.67/10.23 ![X0]: (~member(X0,symmetric_difference(singleton(null_class),image(successor_relation,ordinal_numbers)))|member(X0,kind_1_ordinals))),
% 77.67/10.23 inference(paramodulation,[status(thm)],[f1153,f190])).
% 77.67/10.23 fof(f1261,plain,(
% 77.67/10.23 ![X0]: (member(not_subclass_element(X0,complement(symmetric_difference(singleton(null_class),image(successor_relation,ordinal_numbers)))),kind_1_ordinals)|subclass(X0,complement(symmetric_difference(singleton(null_class),image(successor_relation,ordinal_numbers)))))),
% 77.67/10.23 inference(resolution,[status(thm)],[f1240,f729])).
% 77.67/10.23 fof(f1280,plain,(
% 77.67/10.23 ![X0,X1]: (member(X0,kind_1_ordinals)|~subclass(X1,symmetric_difference(singleton(null_class),image(successor_relation,ordinal_numbers)))|~member(X0,X1))),
% 77.67/10.23 inference(resolution,[status(thm)],[f1240,f161])).
% 77.67/10.23 fof(f1450,plain,(
% 77.67/10.23 spl0_64 <=> subclass(null_class,kind_1_ordinals)),
% 77.67/10.23 introduced(split_symbol_definition)).
% 77.67/10.23 fof(f1452,plain,(
% 77.67/10.23 ~subclass(null_class,kind_1_ordinals)|spl0_64),
% 77.67/10.23 inference(component_clause,[status(thm)],[f1450])).
% 77.67/10.23 fof(f1494,plain,(
% 77.67/10.23 ![X0,X1]: (subclass(X0,complement(intersection(complement(X0),X1))))),
% 77.67/10.23 inference(paramodulation,[status(thm)],[f826,f1033])).
% 77.67/10.23 fof(f1924,plain,(
% 77.67/10.23 ![X0,X1]: (~subclass(complement(intersection(complement(unordered_pair(null_class,X0)),X1)),kind_1_ordinals)|~spl0_11)),
% 77.67/10.23 inference(resolution,[status(thm)],[f447,f1494])).
% 77.67/10.23 fof(f2179,plain,(
% 77.67/10.23 ![X0,X1]: (~subclass(union(unordered_pair(null_class,X0),complement(X1)),kind_1_ordinals)|~spl0_11)),
% 77.67/10.23 inference(forward_demodulation,[status(thm)],[f842,f1924])).
% 77.67/10.23 fof(f2183,plain,(
% 77.67/10.23 ![X0,X1]: (~subclass(union(unordered_pair(null_class,X0),X1),kind_1_ordinals)|~spl0_11)),
% 77.67/10.23 inference(paramodulation,[status(thm)],[f826,f2179])).
% 77.67/10.23 fof(f3131,plain,(
% 77.67/10.23 spl0_176 <=> subclass(kind_1_ordinals,kind_1_ordinals)),
% 77.67/10.23 introduced(split_symbol_definition)).
% 77.67/10.23 fof(f3133,plain,(
% 77.67/10.23 ~subclass(kind_1_ordinals,kind_1_ordinals)|spl0_176),
% 77.67/10.23 inference(component_clause,[status(thm)],[f3131])).
% 77.67/10.23 fof(f3141,plain,(
% 77.67/10.23 $false|spl0_176),
% 77.67/10.23 inference(forward_subsumption_resolution,[status(thm)],[f3133,f348])).
% 77.67/10.23 fof(f3142,plain,(
% 77.67/10.23 spl0_176),
% 77.67/10.23 inference(contradiction_clause,[status(thm)],[f3141])).
% 77.67/10.23 fof(f3259,plain,(
% 77.67/10.23 spl0_186 <=> member(null_class,symmetric_difference(singleton(null_class),image(successor_relation,ordinal_numbers)))),
% 77.67/10.23 introduced(split_symbol_definition)).
% 77.67/10.23 fof(f3260,plain,(
% 77.67/10.23 member(null_class,symmetric_difference(singleton(null_class),image(successor_relation,ordinal_numbers)))|~spl0_186),
% 77.67/10.23 inference(component_clause,[status(thm)],[f3259])).
% 77.67/10.23 fof(f3609,plain,(
% 77.67/10.23 $false|spl0_0),
% 77.67/10.23 inference(backward_subsumption_resolution,[status(thm)],[f218,f542])).
% 77.67/10.23 fof(f3610,plain,(
% 77.67/10.23 spl0_0),
% 77.67/10.23 inference(contradiction_clause,[status(thm)],[f3609])).
% 77.67/10.23 fof(f4289,plain,(
% 77.67/10.23 ![X0,X1,X2]: (subclass(intersection(intersection(X0,X1),X2),X0)|subclass(intersection(intersection(X0,X1),X2),X0))),
% 77.67/10.23 inference(resolution,[status(thm)],[f959,f163])).
% 77.67/10.23 fof(f4290,plain,(
% 77.67/10.23 ![X0,X1,X2]: (subclass(intersection(intersection(X0,X1),X2),X0))),
% 77.67/10.23 inference(duplicate_literals_removal,[status(esa)],[f4289])).
% 77.67/10.23 fof(f4477,plain,(
% 77.67/10.23 ![X0,X1,X2]: (subclass(intersection(X0,intersection(X1,X2)),X1)|subclass(intersection(X0,intersection(X1,X2)),X1))),
% 77.67/10.23 inference(resolution,[status(thm)],[f985,f163])).
% 77.67/10.23 fof(f4478,plain,(
% 77.67/10.23 ![X0,X1,X2]: (subclass(intersection(X0,intersection(X1,X2)),X1))),
% 77.67/10.23 inference(duplicate_literals_removal,[status(esa)],[f4477])).
% 77.67/10.23 fof(f4790,plain,(
% 77.67/10.23 ~subclass(symmetric_difference(singleton(null_class),image(successor_relation,ordinal_numbers)),kind_1_ordinals)|~spl0_186),
% 77.67/10.23 inference(resolution,[status(thm)],[f3260,f351])).
% 77.67/10.23 fof(f4791,plain,(
% 77.67/10.23 $false|~spl0_186),
% 77.67/10.23 inference(forward_subsumption_resolution,[status(thm)],[f4790,f1234])).
% 77.67/10.23 fof(f4792,plain,(
% 77.67/10.23 ~spl0_186),
% 77.67/10.23 inference(contradiction_clause,[status(thm)],[f4791])).
% 77.67/10.23 fof(f5667,plain,(
% 77.67/10.23 spl0_272 <=> subclass(complement(kind_1_ordinals),complement(symmetric_difference(singleton(null_class),image(successor_relation,ordinal_numbers))))),
% 77.67/10.23 introduced(split_symbol_definition)).
% 77.67/10.23 fof(f5670,plain,(
% 77.67/10.23 subclass(complement(kind_1_ordinals),complement(symmetric_difference(singleton(null_class),image(successor_relation,ordinal_numbers))))|subclass(complement(kind_1_ordinals),complement(symmetric_difference(singleton(null_class),image(successor_relation,ordinal_numbers))))),
% 77.67/10.23 inference(resolution,[status(thm)],[f1261,f384])).
% 77.67/10.23 fof(f5671,plain,(
% 77.67/10.23 spl0_272),
% 77.67/10.23 inference(split_clause,[status(thm)],[f5670,f5667])).
% 77.67/10.23 fof(f7027,plain,(
% 77.67/10.23 ![X0,X1]: (subclass(null_class,X0)|intersection(X0,X1)=null_class)),
% 77.67/10.23 inference(paramodulation,[status(thm)],[f235,f4290])).
% 77.67/10.23 fof(f7726,plain,(
% 77.67/10.23 spl0_412 <=> ~subclass(null_class,intersection(X1,intersection(symmetric_difference(singleton(null_class),image(successor_relation,ordinal_numbers)),X2)))),
% 77.67/10.23 introduced(split_symbol_definition)).
% 77.67/10.23 fof(f7727,plain,(
% 77.67/10.23 ![X0,X1]: (~subclass(null_class,intersection(X0,intersection(symmetric_difference(singleton(null_class),image(successor_relation,ordinal_numbers)),X1)))|~spl0_412)),
% 77.67/10.23 inference(component_clause,[status(thm)],[f7726])).
% 77.67/10.23 fof(f7731,plain,(
% 77.67/10.23 spl0_413 <=> ~subclass(null_class,intersection(X1,intersection(X2,symmetric_difference(singleton(null_class),image(successor_relation,ordinal_numbers)))))),
% 77.67/10.23 introduced(split_symbol_definition)).
% 77.67/10.23 fof(f7732,plain,(
% 77.67/10.23 ![X0,X1]: (~subclass(null_class,intersection(X0,intersection(X1,symmetric_difference(singleton(null_class),image(successor_relation,ordinal_numbers)))))|~spl0_413)),
% 77.67/10.23 inference(component_clause,[status(thm)],[f7731])).
% 77.67/10.23 fof(f7736,plain,(
% 77.67/10.23 spl0_414 <=> ~subclass(null_class,intersection(intersection(symmetric_difference(singleton(null_class),image(successor_relation,ordinal_numbers)),X1),X2))),
% 77.67/10.23 introduced(split_symbol_definition)).
% 77.67/10.23 fof(f7737,plain,(
% 77.67/10.23 ![X0,X1]: (~subclass(null_class,intersection(intersection(symmetric_difference(singleton(null_class),image(successor_relation,ordinal_numbers)),X0),X1))|~spl0_414)),
% 77.67/10.23 inference(component_clause,[status(thm)],[f7736])).
% 77.67/10.23 fof(f7743,plain,(
% 77.67/10.23 spl0_415 <=> ~subclass(null_class,intersection(intersection(X1,symmetric_difference(singleton(null_class),image(successor_relation,ordinal_numbers))),X2))),
% 77.67/10.23 introduced(split_symbol_definition)).
% 77.67/10.23 fof(f7744,plain,(
% 77.67/10.23 ![X0,X1]: (~subclass(null_class,intersection(intersection(X0,symmetric_difference(singleton(null_class),image(successor_relation,ordinal_numbers))),X1))|~spl0_415)),
% 77.67/10.23 inference(component_clause,[status(thm)],[f7743])).
% 77.67/10.23 fof(f7769,plain,(
% 77.67/10.23 spl0_416 <=> ~subclass(null_class,restrict(symmetric_difference(singleton(null_class),image(successor_relation,ordinal_numbers)),X1,X2))),
% 77.67/10.23 introduced(split_symbol_definition)).
% 77.67/10.23 fof(f7770,plain,(
% 77.67/10.23 ![X0,X1]: (~subclass(null_class,restrict(symmetric_difference(singleton(null_class),image(successor_relation,ordinal_numbers)),X0,X1))|~spl0_416)),
% 77.67/10.23 inference(component_clause,[status(thm)],[f7769])).
% 77.67/10.23 fof(f7774,plain,(
% 77.67/10.23 spl0_417 <=> ~subclass(null_class,intersection(X1,symmetric_difference(singleton(null_class),image(successor_relation,ordinal_numbers))))),
% 77.67/10.23 introduced(split_symbol_definition)).
% 77.67/10.23 fof(f7775,plain,(
% 77.67/10.23 ![X0]: (~subclass(null_class,intersection(X0,symmetric_difference(singleton(null_class),image(successor_relation,ordinal_numbers))))|~spl0_417)),
% 77.67/10.23 inference(component_clause,[status(thm)],[f7774])).
% 77.67/10.23 fof(f7779,plain,(
% 77.67/10.23 spl0_418 <=> ~subclass(null_class,intersection(symmetric_difference(singleton(null_class),image(successor_relation,ordinal_numbers)),X1))),
% 77.67/10.23 introduced(split_symbol_definition)).
% 77.67/10.23 fof(f7780,plain,(
% 77.67/10.23 ![X0]: (~subclass(null_class,intersection(symmetric_difference(singleton(null_class),image(successor_relation,ordinal_numbers)),X0))|~spl0_418)),
% 77.67/10.23 inference(component_clause,[status(thm)],[f7779])).
% 77.67/10.23 fof(f8917,plain,(
% 77.67/10.23 spl0_481 <=> subclass(null_class,null_class)),
% 77.67/10.23 introduced(split_symbol_definition)).
% 77.67/10.23 fof(f8919,plain,(
% 77.67/10.23 ~subclass(null_class,null_class)|spl0_481),
% 77.67/10.23 inference(component_clause,[status(thm)],[f8917])).
% 77.67/10.23 fof(f9017,plain,(
% 77.67/10.23 spl0_498 <=> subclass(null_class,X1)),
% 77.67/10.23 introduced(split_symbol_definition)).
% 77.67/10.23 fof(f9095,plain,(
% 77.67/10.23 ![X0,X1]: (subclass(null_class,X0)|subclass(null_class,X1))),
% 77.67/10.23 inference(paramodulation,[status(thm)],[f7027,f4478])).
% 77.67/10.23 fof(f9096,plain,(
% 77.67/10.23 spl0_498),
% 77.67/10.23 inference(split_clause,[status(thm)],[f9095,f9017])).
% 77.67/10.23 fof(f9320,plain,(
% 77.67/10.23 ![X0]: (subclass(null_class,X0)|subclass(null_class,X0))),
% 77.67/10.23 inference(paramodulation,[status(thm)],[f7027,f957])).
% 77.67/10.23 fof(f9321,plain,(
% 77.67/10.23 ![X0]: (subclass(null_class,X0))),
% 77.67/10.23 inference(duplicate_literals_removal,[status(esa)],[f9320])).
% 77.67/10.23 fof(f9322,plain,(
% 77.67/10.23 $false|spl0_481),
% 77.67/10.23 inference(forward_subsumption_resolution,[status(thm)],[f8919,f348])).
% 77.67/10.23 fof(f9323,plain,(
% 77.67/10.23 spl0_481),
% 77.67/10.23 inference(contradiction_clause,[status(thm)],[f9322])).
% 77.67/10.23 fof(f9325,plain,(
% 77.67/10.23 $false|spl0_64),
% 77.67/10.23 inference(backward_subsumption_resolution,[status(thm)],[f1452,f9321])).
% 77.67/10.23 fof(f9326,plain,(
% 77.67/10.23 spl0_64),
% 77.67/10.23 inference(contradiction_clause,[status(thm)],[f9325])).
% 77.67/10.23 fof(f9371,plain,(
% 77.67/10.23 ![X0]: (member(X0,kind_1_ordinals)|~member(X0,null_class))),
% 77.67/10.23 inference(resolution,[status(thm)],[f9321,f1280])).
% 77.67/10.23 fof(f9429,plain,(
% 77.67/10.23 ![X0]: (~member(not_subclass_element(complement(kind_1_ordinals),X0),null_class)|subclass(complement(kind_1_ordinals),X0))),
% 77.67/10.23 inference(resolution,[status(thm)],[f9371,f384])).
% 77.67/10.23 fof(f9432,plain,(
% 77.67/10.23 ![X0]: (~member(not_subclass_element(X0,kind_1_ordinals),null_class)|subclass(X0,kind_1_ordinals))),
% 77.67/10.23 inference(resolution,[status(thm)],[f9371,f163])).
% 77.67/10.23 fof(f9567,plain,(
% 77.67/10.23 ![X0,X1]: (subclass(X0,kind_1_ordinals)|subclass(X0,kind_1_ordinals)|~subclass(X0,intersection(X1,null_class)))),
% 77.67/10.23 inference(resolution,[status(thm)],[f9432,f951])).
% 77.67/10.23 fof(f9568,plain,(
% 77.67/10.23 ![X0,X1]: (subclass(X0,kind_1_ordinals)|~subclass(X0,intersection(X1,null_class)))),
% 77.67/10.23 inference(duplicate_literals_removal,[status(esa)],[f9567])).
% 77.67/10.23 fof(f10315,plain,(
% 77.67/10.23 ![X0,X1,X2]: (subclass(restrict(intersection(X0,null_class),X1,X2),kind_1_ordinals))),
% 77.67/10.23 inference(resolution,[status(thm)],[f9568,f1191])).
% 77.67/10.23 fof(f11282,plain,(
% 77.67/10.23 spl0_606 <=> ~subclass(X0,null_class)),
% 77.67/10.23 introduced(split_symbol_definition)).
% 77.67/10.23 fof(f11283,plain,(
% 77.67/10.23 ![X0]: (~subclass(X0,null_class)|~spl0_606)),
% 77.67/10.23 inference(component_clause,[status(thm)],[f11282])).
% 77.67/10.23 fof(f13416,plain,(
% 77.67/10.23 spl0_639 <=> subclass(complement(kind_1_ordinals),complement(null_class))),
% 77.67/10.23 introduced(split_symbol_definition)).
% 77.67/10.23 fof(f13419,plain,(
% 77.67/10.23 subclass(complement(kind_1_ordinals),complement(null_class))|subclass(complement(kind_1_ordinals),complement(null_class))),
% 77.67/10.23 inference(resolution,[status(thm)],[f9429,f729])).
% 77.67/10.23 fof(f13420,plain,(
% 77.67/10.23 spl0_639),
% 77.67/10.23 inference(split_clause,[status(thm)],[f13419,f13416])).
% 77.67/10.23 fof(f16544,plain,(
% 77.67/10.23 $false|~spl0_606),
% 77.67/10.23 inference(resolution,[status(thm)],[f11283,f9321])).
% 77.67/10.23 fof(f16545,plain,(
% 77.67/10.23 ~spl0_606),
% 77.67/10.23 inference(contradiction_clause,[status(thm)],[f16544])).
% 77.67/10.23 fof(f16981,plain,(
% 77.67/10.23 spl0_731 <=> subclass(null_class,regular(kind_1_ordinals))),
% 77.67/10.23 introduced(split_symbol_definition)).
% 77.67/10.23 fof(f16983,plain,(
% 77.67/10.23 ~subclass(null_class,regular(kind_1_ordinals))|spl0_731),
% 77.67/10.23 inference(component_clause,[status(thm)],[f16981])).
% 77.67/10.23 fof(f16996,plain,(
% 77.67/10.23 $false|spl0_731),
% 77.67/10.23 inference(forward_subsumption_resolution,[status(thm)],[f16983,f9321])).
% 77.67/10.23 fof(f16997,plain,(
% 77.67/10.23 spl0_731),
% 77.67/10.23 inference(contradiction_clause,[status(thm)],[f16996])).
% 77.67/10.23 fof(f17006,plain,(
% 77.67/10.23 spl0_732 <=> ~member(unordered_pair(X0,X1),universal_class)),
% 77.67/10.23 introduced(split_symbol_definition)).
% 77.67/10.23 fof(f17007,plain,(
% 77.67/10.23 ![X0,X1]: (~member(unordered_pair(X0,X1),universal_class)|~spl0_732)),
% 77.67/10.23 inference(component_clause,[status(thm)],[f17006])).
% 77.67/10.23 fof(f17011,plain,(
% 77.67/10.23 $false|~spl0_732),
% 77.67/10.23 inference(forward_subsumption_resolution,[status(thm)],[f17007,f174])).
% 77.67/10.23 fof(f17012,plain,(
% 77.67/10.23 ~spl0_732),
% 77.67/10.23 inference(contradiction_clause,[status(thm)],[f17011])).
% 77.67/10.23 fof(f19343,plain,(
% 77.67/10.23 spl0_826 <=> ~subclass(X0,kind_1_ordinals)),
% 77.67/10.23 introduced(split_symbol_definition)).
% 77.67/10.23 fof(f19344,plain,(
% 77.67/10.23 ![X0]: (~subclass(X0,kind_1_ordinals)|~spl0_826)),
% 77.67/10.23 inference(component_clause,[status(thm)],[f19343])).
% 77.67/10.23 fof(f19365,plain,(
% 77.67/10.23 $false|~spl0_826),
% 77.67/10.23 inference(backward_subsumption_resolution,[status(thm)],[f10315,f19344])).
% 77.67/10.23 fof(f19366,plain,(
% 77.67/10.23 ~spl0_826),
% 77.67/10.23 inference(contradiction_clause,[status(thm)],[f19365])).
% 77.67/10.23 fof(f19513,plain,(
% 77.67/10.23 spl0_841 <=> member(null_class,X0)|~subclass(null_class,intersection(X0,X1))),
% 77.67/10.23 introduced(split_symbol_definition)).
% 77.67/10.23 fof(f19514,plain,(
% 77.67/10.23 ![X0,X1]: (member(null_class,X0)|~subclass(null_class,intersection(X0,X1))|~spl0_841)),
% 77.67/10.23 inference(component_clause,[status(thm)],[f19513])).
% 77.67/10.23 fof(f19534,plain,(
% 77.67/10.23 ![X0]: (member(null_class,X0)|~spl0_841)),
% 77.67/10.23 inference(forward_subsumption_resolution,[status(thm)],[f19514,f9321])).
% 77.67/10.23 fof(f19552,plain,(
% 77.67/10.23 $false|~spl0_841),
% 77.67/10.23 inference(backward_subsumption_resolution,[status(thm)],[f347,f19534])).
% 77.67/10.23 fof(f19553,plain,(
% 77.67/10.23 ~spl0_841),
% 77.67/10.23 inference(contradiction_clause,[status(thm)],[f19552])).
% 77.67/10.23 fof(f20930,plain,(
% 77.67/10.23 ![X0]: (member(not_subclass_element(limit_ordinals,X0),ordinal_numbers)|subclass(intersection(complement(kind_1_ordinals),ordinal_numbers),X0))),
% 77.67/10.23 inference(paramodulation,[status(thm)],[f323,f952])).
% 77.67/10.23 fof(f20931,plain,(
% 77.67/10.23 ![X0]: (member(not_subclass_element(limit_ordinals,X0),ordinal_numbers)|subclass(limit_ordinals,X0))),
% 77.67/10.23 inference(forward_demodulation,[status(thm)],[f323,f20930])).
% 77.67/10.23 fof(f20932,plain,(
% 77.67/10.23 ![X0]: (member(not_subclass_element(limit_ordinals,X0),complement(kind_1_ordinals))|subclass(intersection(complement(kind_1_ordinals),ordinal_numbers),X0))),
% 77.67/10.23 inference(paramodulation,[status(thm)],[f323,f943])).
% 77.67/10.23 fof(f20933,plain,(
% 77.67/10.23 ![X0]: (member(not_subclass_element(limit_ordinals,X0),complement(kind_1_ordinals))|subclass(limit_ordinals,X0))),
% 77.67/10.23 inference(forward_demodulation,[status(thm)],[f323,f20932])).
% 77.67/10.23 fof(f21131,plain,(
% 77.67/10.23 spl0_891 <=> subclass(limit_ordinals,ordinal_numbers)),
% 77.67/10.23 introduced(split_symbol_definition)).
% 77.67/10.23 fof(f21134,plain,(
% 77.67/10.23 subclass(limit_ordinals,ordinal_numbers)|subclass(limit_ordinals,ordinal_numbers)),
% 77.67/10.23 inference(resolution,[status(thm)],[f20931,f163])).
% 78.22/10.26 fof(f21135,plain,(
% 78.22/10.26 spl0_891),
% 78.22/10.26 inference(split_clause,[status(thm)],[f21134,f21131])).
% 78.22/10.26 fof(f21136,plain,(
% 78.22/10.26 spl0_892 <=> subclass(limit_ordinals,complement(kind_1_ordinals))),
% 78.22/10.26 introduced(split_symbol_definition)).
% 78.22/10.26 fof(f21139,plain,(
% 78.22/10.26 subclass(limit_ordinals,complement(kind_1_ordinals))|subclass(limit_ordinals,complement(kind_1_ordinals))),
% 78.22/10.26 inference(resolution,[status(thm)],[f20933,f163])).
% 78.22/10.26 fof(f21140,plain,(
% 78.22/10.26 spl0_892),
% 78.22/10.26 inference(split_clause,[status(thm)],[f21139,f21136])).
% 78.22/10.26 fof(f21872,plain,(
% 78.22/10.26 spl0_924 <=> member(X0,kind_1_ordinals)),
% 78.22/10.26 introduced(split_symbol_definition)).
% 78.22/10.26 fof(f21873,plain,(
% 78.22/10.26 ![X0]: (member(X0,kind_1_ordinals)|~spl0_924)),
% 78.22/10.26 inference(component_clause,[status(thm)],[f21872])).
% 78.22/10.26 fof(f21971,plain,(
% 78.22/10.26 $false|~spl0_924),
% 78.22/10.26 inference(backward_subsumption_resolution,[status(thm)],[f347,f21873])).
% 78.22/10.26 fof(f21972,plain,(
% 78.22/10.26 ~spl0_924),
% 78.22/10.26 inference(contradiction_clause,[status(thm)],[f21971])).
% 78.22/10.26 fof(f22228,plain,(
% 78.22/10.26 $false|~spl0_418),
% 78.22/10.26 inference(forward_subsumption_resolution,[status(thm)],[f7780,f9321])).
% 78.22/10.26 fof(f22229,plain,(
% 78.22/10.26 ~spl0_418),
% 78.22/10.26 inference(contradiction_clause,[status(thm)],[f22228])).
% 78.22/10.26 fof(f22230,plain,(
% 78.22/10.26 $false|~spl0_417),
% 78.22/10.26 inference(forward_subsumption_resolution,[status(thm)],[f7775,f9321])).
% 78.22/10.26 fof(f22231,plain,(
% 78.22/10.26 ~spl0_417),
% 78.22/10.26 inference(contradiction_clause,[status(thm)],[f22230])).
% 78.22/10.26 fof(f22232,plain,(
% 78.22/10.26 $false|~spl0_416),
% 78.22/10.26 inference(forward_subsumption_resolution,[status(thm)],[f7770,f9321])).
% 78.22/10.26 fof(f22233,plain,(
% 78.22/10.26 ~spl0_416),
% 78.22/10.26 inference(contradiction_clause,[status(thm)],[f22232])).
% 78.22/10.26 fof(f22234,plain,(
% 78.22/10.26 $false|~spl0_415),
% 78.22/10.26 inference(forward_subsumption_resolution,[status(thm)],[f7744,f9321])).
% 78.22/10.26 fof(f22235,plain,(
% 78.22/10.26 ~spl0_415),
% 78.22/10.26 inference(contradiction_clause,[status(thm)],[f22234])).
% 78.22/10.26 fof(f22236,plain,(
% 78.22/10.26 $false|~spl0_414),
% 78.22/10.26 inference(forward_subsumption_resolution,[status(thm)],[f7737,f9321])).
% 78.22/10.26 fof(f22237,plain,(
% 78.22/10.26 ~spl0_414),
% 78.22/10.26 inference(contradiction_clause,[status(thm)],[f22236])).
% 78.22/10.26 fof(f22238,plain,(
% 78.22/10.26 $false|~spl0_413),
% 78.22/10.26 inference(forward_subsumption_resolution,[status(thm)],[f7732,f9321])).
% 78.22/10.26 fof(f22239,plain,(
% 78.22/10.26 ~spl0_413),
% 78.22/10.26 inference(contradiction_clause,[status(thm)],[f22238])).
% 78.22/10.26 fof(f22240,plain,(
% 78.22/10.26 $false|~spl0_412),
% 78.22/10.26 inference(forward_subsumption_resolution,[status(thm)],[f7727,f9321])).
% 78.22/10.26 fof(f22241,plain,(
% 78.22/10.26 ~spl0_412),
% 78.22/10.26 inference(contradiction_clause,[status(thm)],[f22240])).
% 78.22/10.26 fof(f25756,plain,(
% 78.22/10.26 spl0_1062 <=> subclass(complement(complement(null_class)),null_class)),
% 78.22/10.26 introduced(split_symbol_definition)).
% 78.22/10.26 fof(f25758,plain,(
% 78.22/10.26 ~subclass(complement(complement(null_class)),null_class)|spl0_1062),
% 78.22/10.26 inference(component_clause,[status(thm)],[f25756])).
% 78.22/10.26 fof(f25766,plain,(
% 78.22/10.26 ~subclass(null_class,null_class)|spl0_1062),
% 78.22/10.26 inference(forward_demodulation,[status(thm)],[f826,f25758])).
% 78.22/10.26 fof(f25767,plain,(
% 78.22/10.26 $false|spl0_1062),
% 78.22/10.26 inference(forward_subsumption_resolution,[status(thm)],[f25766,f9321])).
% 78.22/10.26 fof(f25768,plain,(
% 78.22/10.26 spl0_1062),
% 78.22/10.26 inference(contradiction_clause,[status(thm)],[f25767])).
% 78.22/10.26 fof(f26774,plain,(
% 78.22/10.26 ![X0]: (~subclass(union(singleton(null_class),X0),kind_1_ordinals)|~spl0_11)),
% 78.22/10.26 inference(paramodulation,[status(thm)],[f175,f2183])).
% 78.22/10.26 fof(f26775,plain,(
% 78.22/10.26 ~subclass(kind_1_ordinals,kind_1_ordinals)|~spl0_11),
% 78.22/10.26 inference(paramodulation,[status(thm)],[f322,f26774])).
% 78.22/10.26 fof(f26776,plain,(
% 78.22/10.26 ~spl0_176|~spl0_11),
% 78.22/10.26 inference(split_clause,[status(thm)],[f26775,f3131,f446])).
% 78.22/10.26 fof(f26778,plain,(
% 78.22/10.26 $false),
% 78.22/10.26 inference(sat_refutation,[status(thm)],[f450,f3142,f3610,f4792,f5671,f9096,f9323,f9326,f13420,f16545,f16997,f17012,f19366,f19553,f21135,f21140,f21972,f22229,f22231,f22233,f22235,f22237,f22239,f22241,f25768,f26776])).
% 78.22/10.26 % SZS output end CNFRefutation for theBenchmark.p
% 80.63/11.10 % Elapsed time: 10.764829 seconds
% 80.63/11.10 % CPU time: 80.579021 seconds
% 80.63/11.10 % Memory used: 541.749 MB
%------------------------------------------------------------------------------