TSTP Solution File: SET154-6 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET154-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 : Tue Apr 30 20:39:17 EDT 2024
% Result : Unsatisfiable 8.49s 1.46s
% Output : CNFRefutation 8.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.15 % Problem : SET154-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.15 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.37 % Computer : n021.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Mon Apr 29 21:33:55 EDT 2024
% 0.13/0.37 % CPUTime :
% 0.13/0.38 % Drodi V3.6.0
% 8.49/1.46 % Refutation found
% 8.49/1.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.49/1.46 % SZS output start CNFRefutation for theBenchmark
% 8.49/1.46 fof(f1,axiom,(
% 8.49/1.46 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 8.49/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.46 fof(f2,axiom,(
% 8.49/1.46 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 8.49/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.46 fof(f3,axiom,(
% 8.49/1.46 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 8.49/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.46 fof(f4,axiom,(
% 8.49/1.46 (![X]: (subclass(X,universal_class) ))),
% 8.49/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.46 fof(f5,axiom,(
% 8.49/1.46 (![X,Y]: (( X != Y| subclass(X,Y) ) ))),
% 8.49/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.46 fof(f7,axiom,(
% 8.49/1.46 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 8.49/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.46 fof(f21,axiom,(
% 8.49/1.46 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 8.49/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.46 fof(f22,axiom,(
% 8.49/1.46 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 8.49/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.46 fof(f24,axiom,(
% 8.49/1.46 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 8.49/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.46 fof(f25,axiom,(
% 8.49/1.46 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 8.49/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.46 fof(f26,axiom,(
% 8.49/1.46 (![X,Y]: (complement(intersection(complement(X),complement(Y))) = union(X,Y) ))),
% 8.49/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.46 fof(f43,axiom,(
% 8.49/1.46 (![X]: (union(X,singleton(X)) = successor(X) ))),
% 8.49/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.46 fof(f47,axiom,(
% 8.49/1.46 (![X]: (( ~ inductive(X)| member(null_class,X) ) ))),
% 8.49/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.46 fof(f50,axiom,(
% 8.49/1.46 inductive(omega) ),
% 8.49/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.47 fof(f62,axiom,(
% 8.49/1.47 (![Xf]: (( ~ function(Xf)| subclass(Xf,cross_product(universal_class,universal_class)) ) ))),
% 8.49/1.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.47 fof(f66,axiom,(
% 8.49/1.47 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 8.49/1.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.47 fof(f69,axiom,(
% 8.49/1.47 function(choice) ),
% 8.49/1.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.47 fof(f75,axiom,(
% 8.49/1.47 intersection(inverse(subset_relation),subset_relation) = identity_relation ),
% 8.49/1.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.47 fof(f76,axiom,(
% 8.49/1.47 (![Xr]: (complement(domain_of(intersection(Xr,identity_relation))) = diagonalise(Xr) ))),
% 8.49/1.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.47 fof(f113,negated_conjecture,(
% 8.49/1.47 union(complement(x),x) != universal_class ),
% 8.49/1.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.47 fof(f114,plain,(
% 8.49/1.47 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 8.49/1.47 inference(miniscoping,[status(esa)],[f1])).
% 8.49/1.47 fof(f115,plain,(
% 8.49/1.47 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 8.49/1.47 inference(cnf_transformation,[status(esa)],[f114])).
% 8.49/1.47 fof(f116,plain,(
% 8.49/1.47 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 8.49/1.47 inference(cnf_transformation,[status(esa)],[f2])).
% 8.49/1.47 fof(f117,plain,(
% 8.49/1.47 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 8.49/1.47 inference(cnf_transformation,[status(esa)],[f3])).
% 8.49/1.47 fof(f118,plain,(
% 8.49/1.47 ![X0]: (subclass(X0,universal_class))),
% 8.49/1.47 inference(cnf_transformation,[status(esa)],[f4])).
% 8.49/1.47 fof(f119,plain,(
% 8.49/1.47 ![X0,X1]: (~X0=X1|subclass(X0,X1))),
% 8.49/1.47 inference(cnf_transformation,[status(esa)],[f5])).
% 8.49/1.47 fof(f121,plain,(
% 8.49/1.47 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 8.49/1.47 inference(cnf_transformation,[status(esa)],[f7])).
% 8.49/1.47 fof(f141,plain,(
% 8.49/1.47 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 8.49/1.47 inference(miniscoping,[status(esa)],[f21])).
% 8.49/1.47 fof(f142,plain,(
% 8.49/1.47 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 8.49/1.47 inference(cnf_transformation,[status(esa)],[f141])).
% 8.49/1.48 fof(f143,plain,(
% 8.49/1.48 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 8.49/1.48 inference(miniscoping,[status(esa)],[f22])).
% 8.49/1.48 fof(f144,plain,(
% 8.49/1.48 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 8.49/1.48 inference(cnf_transformation,[status(esa)],[f143])).
% 8.49/1.48 fof(f146,plain,(
% 8.49/1.48 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 8.49/1.48 inference(cnf_transformation,[status(esa)],[f24])).
% 8.49/1.48 fof(f147,plain,(
% 8.49/1.48 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 8.49/1.48 inference(cnf_transformation,[status(esa)],[f25])).
% 8.49/1.48 fof(f148,plain,(
% 8.49/1.48 ![X0,X1]: (complement(intersection(complement(X0),complement(X1)))=union(X0,X1))),
% 8.49/1.48 inference(cnf_transformation,[status(esa)],[f26])).
% 8.49/1.48 fof(f165,plain,(
% 8.49/1.48 ![X0]: (union(X0,singleton(X0))=successor(X0))),
% 8.49/1.48 inference(cnf_transformation,[status(esa)],[f43])).
% 8.49/1.48 fof(f169,plain,(
% 8.49/1.48 ![X0]: (~inductive(X0)|member(null_class,X0))),
% 8.49/1.48 inference(cnf_transformation,[status(esa)],[f47])).
% 8.49/1.48 fof(f172,plain,(
% 8.49/1.48 inductive(omega)),
% 8.49/1.48 inference(cnf_transformation,[status(esa)],[f50])).
% 8.49/1.48 fof(f184,plain,(
% 8.49/1.48 ![X0]: (~function(X0)|subclass(X0,cross_product(universal_class,universal_class)))),
% 8.49/1.48 inference(cnf_transformation,[status(esa)],[f62])).
% 8.49/1.48 fof(f188,plain,(
% 8.49/1.48 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 8.49/1.48 inference(cnf_transformation,[status(esa)],[f66])).
% 8.49/1.48 fof(f191,plain,(
% 8.49/1.48 function(choice)),
% 8.49/1.48 inference(cnf_transformation,[status(esa)],[f69])).
% 8.49/1.48 fof(f197,plain,(
% 8.49/1.48 intersection(inverse(subset_relation),subset_relation)=identity_relation),
% 8.49/1.48 inference(cnf_transformation,[status(esa)],[f75])).
% 8.49/1.48 fof(f198,plain,(
% 8.49/1.48 ![X0]: (complement(domain_of(intersection(X0,identity_relation)))=diagonalise(X0))),
% 8.49/1.48 inference(cnf_transformation,[status(esa)],[f76])).
% 8.49/1.48 fof(f245,plain,(
% 8.49/1.48 ~union(complement(x),x)=universal_class),
% 8.49/1.48 inference(cnf_transformation,[status(esa)],[f113])).
% 8.49/1.48 fof(f246,plain,(
% 8.49/1.48 ![X0]: (subclass(X0,X0))),
% 8.49/1.48 inference(destructive_equality_resolution,[status(esa)],[f119])).
% 8.49/1.48 fof(f526,plain,(
% 8.49/1.48 member(null_class,omega)),
% 8.49/1.48 inference(resolution,[status(thm)],[f169,f172])).
% 8.49/1.48 fof(f528,plain,(
% 8.49/1.48 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 8.49/1.48 inference(resolution,[status(thm)],[f115,f118])).
% 8.49/1.48 fof(f533,plain,(
% 8.49/1.48 ![X0,X1]: (subclass(universal_class,X0)|member(not_subclass_element(universal_class,X0),complement(X1))|member(not_subclass_element(universal_class,X0),X1))),
% 8.49/1.48 inference(resolution,[status(thm)],[f116,f147])).
% 8.49/1.48 fof(f534,plain,(
% 8.49/1.48 ![X0,X1]: (subclass(complement(X0),X1)|~member(not_subclass_element(complement(X0),X1),X0))),
% 8.49/1.48 inference(resolution,[status(thm)],[f116,f146])).
% 8.49/1.48 fof(f570,plain,(
% 8.49/1.48 ![X0]: (subclass(universal_class,complement(X0))|member(not_subclass_element(universal_class,complement(X0)),X0)|subclass(universal_class,complement(X0)))),
% 8.49/1.48 inference(resolution,[status(thm)],[f533,f117])).
% 8.49/1.48 fof(f571,plain,(
% 8.49/1.48 ![X0]: (subclass(universal_class,complement(X0))|member(not_subclass_element(universal_class,complement(X0)),X0))),
% 8.49/1.48 inference(duplicate_literals_removal,[status(esa)],[f570])).
% 8.49/1.48 fof(f588,plain,(
% 8.49/1.48 ![X0]: (subclass(universal_class,complement(complement(X0)))|~member(not_subclass_element(universal_class,complement(complement(X0))),X0))),
% 8.49/1.48 inference(resolution,[status(thm)],[f571,f146])).
% 8.49/1.48 fof(f595,plain,(
% 8.49/1.48 ![X0,X1]: (subclass(universal_class,complement(intersection(complement(X0),complement(X1))))|member(not_subclass_element(universal_class,union(X0,X1)),intersection(complement(X0),complement(X1))))),
% 8.49/1.48 inference(paramodulation,[status(thm)],[f148,f571])).
% 8.49/1.48 fof(f596,plain,(
% 8.49/1.48 ![X0,X1]: (subclass(universal_class,union(X0,X1))|member(not_subclass_element(universal_class,union(X0,X1)),intersection(complement(X0),complement(X1))))),
% 8.49/1.48 inference(forward_demodulation,[status(thm)],[f148,f595])).
% 8.49/1.48 fof(f1329,plain,(
% 8.49/1.48 spl0_3 <=> subclass(universal_class,complement(complement(universal_class)))),
% 8.49/1.48 introduced(split_symbol_definition)).
% 8.49/1.48 fof(f1330,plain,(
% 8.49/1.48 subclass(universal_class,complement(complement(universal_class)))|~spl0_3),
% 8.49/1.48 inference(component_clause,[status(thm)],[f1329])).
% 8.49/1.48 fof(f1332,plain,(
% 8.49/1.48 subclass(universal_class,complement(complement(universal_class)))|subclass(universal_class,complement(complement(universal_class)))),
% 8.49/1.48 inference(resolution,[status(thm)],[f588,f116])).
% 8.49/1.48 fof(f1333,plain,(
% 8.49/1.48 spl0_3),
% 8.49/1.48 inference(split_clause,[status(thm)],[f1332,f1329])).
% 8.49/1.48 fof(f1425,plain,(
% 8.49/1.48 ![X0]: (subclass(universal_class,union(X0,singleton(X0)))|member(not_subclass_element(universal_class,successor(X0)),intersection(complement(X0),complement(singleton(X0)))))),
% 8.49/1.48 inference(paramodulation,[status(thm)],[f165,f596])).
% 8.49/1.48 fof(f1426,plain,(
% 8.49/1.48 ![X0]: (subclass(universal_class,successor(X0))|member(not_subclass_element(universal_class,successor(X0)),intersection(complement(X0),complement(singleton(X0)))))),
% 8.49/1.48 inference(forward_demodulation,[status(thm)],[f165,f1425])).
% 8.49/1.48 fof(f1778,plain,(
% 8.49/1.48 ![X0]: (complement(X0)=null_class|~member(regular(complement(X0)),X0))),
% 8.49/1.48 inference(resolution,[status(thm)],[f188,f146])).
% 8.49/1.48 fof(f1789,plain,(
% 8.49/1.48 ![X0,X1]: (~member(not_subclass_element(complement(universal_class),X0),X1)|subclass(complement(universal_class),X0))),
% 8.49/1.48 inference(resolution,[status(thm)],[f528,f534])).
% 8.49/1.48 fof(f1791,plain,(
% 8.49/1.48 ![X0,X1,X2]: (~member(X0,X1)|member(X0,complement(X2))|member(X0,X2))),
% 8.49/1.48 inference(resolution,[status(thm)],[f528,f147])).
% 8.49/1.48 fof(f1793,plain,(
% 8.49/1.48 ![X0]: (~subclass(universal_class,X0)|universal_class=X0)),
% 8.49/1.48 inference(resolution,[status(thm)],[f121,f118])).
% 8.49/1.48 fof(f1835,plain,(
% 8.49/1.48 universal_class=complement(complement(universal_class))|~spl0_3),
% 8.49/1.48 inference(resolution,[status(thm)],[f1330,f1793])).
% 8.49/1.48 fof(f2821,plain,(
% 8.49/1.48 ![X0,X1,X2]: (~member(not_subclass_element(complement(complement(X0)),X1),X2)|member(not_subclass_element(complement(complement(X0)),X1),X0)|subclass(complement(complement(X0)),X1))),
% 8.49/1.48 inference(resolution,[status(thm)],[f1791,f534])).
% 8.49/1.48 fof(f2831,plain,(
% 8.49/1.48 ![X0]: (subclass(complement(universal_class),X0)|subclass(complement(universal_class),X0))),
% 8.49/1.48 inference(resolution,[status(thm)],[f1789,f116])).
% 8.49/1.48 fof(f2832,plain,(
% 8.49/1.48 ![X0]: (subclass(complement(universal_class),X0))),
% 8.49/1.48 inference(duplicate_literals_removal,[status(esa)],[f2831])).
% 8.49/1.48 fof(f2838,plain,(
% 8.49/1.48 ![X0,X1]: (~member(X0,complement(universal_class))|member(X0,X1))),
% 8.49/1.48 inference(resolution,[status(thm)],[f2832,f115])).
% 8.49/1.48 fof(f3036,plain,(
% 8.49/1.48 ![X0,X1]: (member(not_subclass_element(complement(complement(X0)),X1),X0)|subclass(complement(complement(X0)),X1)|subclass(complement(complement(X0)),X1))),
% 8.49/1.48 inference(resolution,[status(thm)],[f2821,f116])).
% 8.49/1.48 fof(f3037,plain,(
% 8.49/1.48 ![X0,X1]: (member(not_subclass_element(complement(complement(X0)),X1),X0)|subclass(complement(complement(X0)),X1))),
% 8.49/1.48 inference(duplicate_literals_removal,[status(esa)],[f3036])).
% 8.49/1.48 fof(f3478,plain,(
% 8.49/1.48 ![X0]: (member(not_subclass_element(universal_class,successor(X0)),complement(X0))|subclass(universal_class,successor(X0)))),
% 8.49/1.48 inference(resolution,[status(thm)],[f142,f1426])).
% 8.49/1.48 fof(f3500,plain,(
% 8.49/1.48 ![X0]: (~member(X0,identity_relation)|member(X0,inverse(subset_relation)))),
% 8.49/1.48 inference(paramodulation,[status(thm)],[f197,f142])).
% 8.49/1.48 fof(f3525,plain,(
% 8.49/1.48 ![X0]: (~member(X0,identity_relation)|member(X0,subset_relation))),
% 8.49/1.48 inference(paramodulation,[status(thm)],[f197,f144])).
% 8.49/1.48 fof(f3551,plain,(
% 8.49/1.48 ![X0]: (~member(not_subclass_element(X0,subset_relation),identity_relation)|subclass(X0,subset_relation))),
% 8.49/1.48 inference(resolution,[status(thm)],[f3525,f117])).
% 8.49/1.48 fof(f3689,plain,(
% 8.49/1.48 spl0_82 <=> subclass(universal_class,successor(universal_class))),
% 8.49/1.48 introduced(split_symbol_definition)).
% 8.49/1.48 fof(f4046,plain,(
% 8.49/1.48 ![X0,X1,X2]: (member(X0,X1)|~member(X0,X2)|member(X0,universal_class))),
% 8.49/1.48 inference(resolution,[status(thm)],[f2838,f1791])).
% 8.49/1.48 fof(f4313,plain,(
% 8.49/1.48 ![X0,X1]: (intersection(X0,X1)=null_class|member(regular(intersection(X0,X1)),X1))),
% 8.49/1.48 inference(resolution,[status(thm)],[f188,f144])).
% 8.49/1.48 fof(f4314,plain,(
% 8.49/1.48 ![X0,X1]: (intersection(X0,X1)=null_class|member(regular(intersection(X0,X1)),X0))),
% 8.49/1.48 inference(resolution,[status(thm)],[f188,f142])).
% 8.49/1.48 fof(f4319,plain,(
% 8.49/1.48 spl0_100 <=> complement(universal_class)=null_class),
% 8.49/1.48 introduced(split_symbol_definition)).
% 8.49/1.48 fof(f4320,plain,(
% 8.49/1.48 complement(universal_class)=null_class|~spl0_100),
% 8.49/1.48 inference(component_clause,[status(thm)],[f4319])).
% 8.49/1.48 fof(f4326,plain,(
% 8.49/1.48 ![X0,X1]: (X0=null_class|member(regular(X0),X1)|member(regular(X0),universal_class))),
% 8.49/1.48 inference(resolution,[status(thm)],[f188,f4046])).
% 8.49/1.48 fof(f4397,plain,(
% 8.49/1.48 universal_class=complement(null_class)|~spl0_100|~spl0_3),
% 8.49/1.48 inference(backward_demodulation,[status(thm)],[f4320,f1835])).
% 8.49/1.48 fof(f5044,plain,(
% 8.49/1.48 ![X0]: (X0=null_class|member(regular(X0),universal_class))),
% 8.49/1.48 inference(forward_subsumption_resolution,[status(thm)],[f4326,f528])).
% 8.49/1.48 fof(f5045,plain,(
% 8.49/1.48 complement(universal_class)=null_class|complement(universal_class)=null_class),
% 8.49/1.48 inference(resolution,[status(thm)],[f5044,f1778])).
% 8.49/1.48 fof(f5046,plain,(
% 8.49/1.48 spl0_100),
% 8.49/1.48 inference(split_clause,[status(thm)],[f5045,f4319])).
% 8.49/1.48 fof(f5849,plain,(
% 8.49/1.48 subclass(choice,cross_product(universal_class,universal_class))),
% 8.49/1.48 inference(resolution,[status(thm)],[f184,f191])).
% 8.49/1.48 fof(f5895,plain,(
% 8.49/1.48 ![X0,X1]: (~member(X0,diagonalise(X1))|~member(X0,domain_of(intersection(X1,identity_relation))))),
% 8.49/1.48 inference(paramodulation,[status(thm)],[f198,f146])).
% 8.49/1.48 fof(f7014,plain,(
% 8.49/1.48 ![X0]: (member(not_subclass_element(identity_relation,X0),inverse(subset_relation))|subclass(identity_relation,X0))),
% 8.49/1.48 inference(resolution,[status(thm)],[f3500,f116])).
% 8.49/1.48 fof(f7066,plain,(
% 8.49/1.48 spl0_264 <=> subclass(power_class(null_class),universal_class)),
% 8.49/1.48 introduced(split_symbol_definition)).
% 8.49/1.48 fof(f7068,plain,(
% 8.49/1.48 ~subclass(power_class(null_class),universal_class)|spl0_264),
% 8.49/1.48 inference(component_clause,[status(thm)],[f7066])).
% 8.49/1.48 fof(f7074,plain,(
% 8.49/1.48 $false|spl0_264),
% 8.49/1.48 inference(forward_subsumption_resolution,[status(thm)],[f7068,f118])).
% 8.49/1.48 fof(f7075,plain,(
% 8.49/1.48 spl0_264),
% 8.49/1.48 inference(contradiction_clause,[status(thm)],[f7074])).
% 8.49/1.48 fof(f7093,plain,(
% 8.49/1.48 spl0_267 <=> subclass(power_class(universal_class),universal_class)),
% 8.49/1.48 introduced(split_symbol_definition)).
% 8.49/1.48 fof(f7095,plain,(
% 8.49/1.48 ~subclass(power_class(universal_class),universal_class)|spl0_267),
% 8.49/1.48 inference(component_clause,[status(thm)],[f7093])).
% 8.49/1.48 fof(f7101,plain,(
% 8.49/1.48 $false|spl0_267),
% 8.49/1.48 inference(forward_subsumption_resolution,[status(thm)],[f7095,f118])).
% 8.49/1.48 fof(f7102,plain,(
% 8.49/1.48 spl0_267),
% 8.49/1.48 inference(contradiction_clause,[status(thm)],[f7101])).
% 8.49/1.48 fof(f7152,plain,(
% 8.49/1.48 spl0_271 <=> subclass(complement(identity_relation),universal_class)),
% 8.49/1.48 introduced(split_symbol_definition)).
% 8.49/1.48 fof(f7154,plain,(
% 8.49/1.48 ~subclass(complement(identity_relation),universal_class)|spl0_271),
% 8.49/1.48 inference(component_clause,[status(thm)],[f7152])).
% 8.49/1.48 fof(f7160,plain,(
% 8.49/1.48 $false|spl0_271),
% 8.49/1.48 inference(forward_subsumption_resolution,[status(thm)],[f7154,f118])).
% 8.49/1.48 fof(f7161,plain,(
% 8.49/1.48 spl0_271),
% 8.49/1.48 inference(contradiction_clause,[status(thm)],[f7160])).
% 8.49/1.48 fof(f7340,plain,(
% 8.49/1.48 spl0_289 <=> subclass(union(universal_class,null_class),universal_class)),
% 8.49/1.48 introduced(split_symbol_definition)).
% 8.49/1.48 fof(f7342,plain,(
% 8.49/1.48 ~subclass(union(universal_class,null_class),universal_class)|spl0_289),
% 8.49/1.48 inference(component_clause,[status(thm)],[f7340])).
% 8.49/1.48 fof(f7348,plain,(
% 8.49/1.48 $false|spl0_289),
% 8.49/1.48 inference(forward_subsumption_resolution,[status(thm)],[f7342,f118])).
% 8.49/1.48 fof(f7349,plain,(
% 8.49/1.48 spl0_289),
% 8.49/1.48 inference(contradiction_clause,[status(thm)],[f7348])).
% 8.49/1.48 fof(f7734,plain,(
% 8.49/1.48 spl0_313 <=> member(null_class,omega)),
% 8.49/1.48 introduced(split_symbol_definition)).
% 8.49/1.48 fof(f7736,plain,(
% 8.49/1.48 ~member(null_class,omega)|spl0_313),
% 8.49/1.48 inference(component_clause,[status(thm)],[f7734])).
% 8.49/1.48 fof(f7747,plain,(
% 8.49/1.48 $false|spl0_313),
% 8.49/1.48 inference(forward_subsumption_resolution,[status(thm)],[f7736,f526])).
% 8.49/1.48 fof(f7748,plain,(
% 8.49/1.48 spl0_313),
% 8.49/1.48 inference(contradiction_clause,[status(thm)],[f7747])).
% 8.49/1.48 fof(f8071,plain,(
% 8.49/1.48 spl0_343 <=> member(identity_relation,X0)),
% 8.49/1.48 introduced(split_symbol_definition)).
% 8.49/1.48 fof(f8072,plain,(
% 8.49/1.48 ![X0]: (member(identity_relation,X0)|~spl0_343)),
% 8.49/1.48 inference(component_clause,[status(thm)],[f8071])).
% 8.49/1.48 fof(f8213,plain,(
% 8.49/1.48 ![X0]: (~member(identity_relation,domain_of(intersection(X0,identity_relation)))|~spl0_343)),
% 8.49/1.48 inference(resolution,[status(thm)],[f8072,f5895])).
% 8.49/1.48 fof(f8214,plain,(
% 8.49/1.48 $false|~spl0_343),
% 8.49/1.48 inference(forward_subsumption_resolution,[status(thm)],[f8213,f8072])).
% 8.49/1.48 fof(f8215,plain,(
% 8.49/1.48 ~spl0_343),
% 8.49/1.48 inference(contradiction_clause,[status(thm)],[f8214])).
% 8.49/1.48 fof(f8453,plain,(
% 8.49/1.48 ![X0]: (subclass(universal_class,successor(X0))|~member(not_subclass_element(universal_class,successor(X0)),X0))),
% 8.49/1.48 inference(resolution,[status(thm)],[f3478,f146])).
% 8.49/1.48 fof(f8503,plain,(
% 8.49/1.48 subclass(universal_class,successor(universal_class))|subclass(universal_class,successor(universal_class))),
% 8.49/1.48 inference(resolution,[status(thm)],[f8453,f116])).
% 8.49/1.48 fof(f8504,plain,(
% 8.49/1.48 spl0_82),
% 8.49/1.48 inference(split_clause,[status(thm)],[f8503,f3689])).
% 8.49/1.48 fof(f8763,plain,(
% 8.49/1.48 spl0_393 <=> subclass(identity_relation,subset_relation)),
% 8.49/1.48 introduced(split_symbol_definition)).
% 8.49/1.48 fof(f8766,plain,(
% 8.49/1.48 subclass(identity_relation,subset_relation)|subclass(identity_relation,subset_relation)),
% 8.49/1.48 inference(resolution,[status(thm)],[f3551,f116])).
% 8.49/1.48 fof(f8767,plain,(
% 8.49/1.48 spl0_393),
% 8.49/1.48 inference(split_clause,[status(thm)],[f8766,f8763])).
% 8.49/1.48 fof(f8775,plain,(
% 8.49/1.48 spl0_394 <=> subclass(choice,cross_product(universal_class,universal_class))),
% 8.49/1.48 introduced(split_symbol_definition)).
% 8.49/1.48 fof(f8777,plain,(
% 8.49/1.48 ~subclass(choice,cross_product(universal_class,universal_class))|spl0_394),
% 8.49/1.48 inference(component_clause,[status(thm)],[f8775])).
% 8.49/1.48 fof(f8783,plain,(
% 8.49/1.48 $false|spl0_394),
% 8.49/1.48 inference(forward_subsumption_resolution,[status(thm)],[f8777,f5849])).
% 8.49/1.48 fof(f8784,plain,(
% 8.49/1.48 spl0_394),
% 8.49/1.48 inference(contradiction_clause,[status(thm)],[f8783])).
% 8.49/1.48 fof(f8827,plain,(
% 8.49/1.48 spl0_401 <=> member(universal_class,X0)),
% 8.49/1.48 introduced(split_symbol_definition)).
% 8.49/1.48 fof(f8828,plain,(
% 8.49/1.48 ![X0]: (member(universal_class,X0)|~spl0_401)),
% 8.49/1.48 inference(component_clause,[status(thm)],[f8827])).
% 8.49/1.48 fof(f8878,plain,(
% 8.49/1.48 ![X0]: (~member(universal_class,domain_of(intersection(X0,identity_relation)))|~spl0_401)),
% 8.49/1.48 inference(resolution,[status(thm)],[f8828,f5895])).
% 8.49/1.48 fof(f8879,plain,(
% 8.49/1.48 $false|~spl0_401),
% 8.49/1.48 inference(forward_subsumption_resolution,[status(thm)],[f8878,f8828])).
% 8.49/1.48 fof(f8880,plain,(
% 8.49/1.48 ~spl0_401),
% 8.49/1.48 inference(contradiction_clause,[status(thm)],[f8879])).
% 8.49/1.48 fof(f9547,plain,(
% 8.49/1.48 spl0_473 <=> subclass(complement(omega),complement(omega))),
% 8.49/1.48 introduced(split_symbol_definition)).
% 8.49/1.48 fof(f9549,plain,(
% 8.49/1.48 ~subclass(complement(omega),complement(omega))|spl0_473),
% 8.49/1.48 inference(component_clause,[status(thm)],[f9547])).
% 8.49/1.48 fof(f9570,plain,(
% 8.49/1.48 $false|spl0_473),
% 8.49/1.48 inference(forward_subsumption_resolution,[status(thm)],[f9549,f246])).
% 8.49/1.48 fof(f9571,plain,(
% 8.49/1.48 spl0_473),
% 8.49/1.48 inference(contradiction_clause,[status(thm)],[f9570])).
% 8.49/1.48 fof(f11784,plain,(
% 8.49/1.48 spl0_602 <=> subclass(complement(complement(identity_relation)),subset_relation)),
% 8.49/1.48 introduced(split_symbol_definition)).
% 8.49/1.48 fof(f11787,plain,(
% 8.49/1.48 subclass(complement(complement(identity_relation)),subset_relation)|subclass(complement(complement(identity_relation)),subset_relation)),
% 8.49/1.48 inference(resolution,[status(thm)],[f3037,f3551])).
% 8.49/1.48 fof(f11788,plain,(
% 8.49/1.48 spl0_602),
% 8.49/1.48 inference(split_clause,[status(thm)],[f11787,f11784])).
% 8.49/1.48 fof(f12877,plain,(
% 8.49/1.48 ![X0,X1]: (intersection(complement(X0),X1)=null_class|~member(regular(intersection(complement(X0),X1)),X0))),
% 8.49/1.48 inference(resolution,[status(thm)],[f4314,f146])).
% 8.49/1.48 fof(f16532,plain,(
% 8.49/1.48 ![X0]: (intersection(complement(X0),X0)=null_class|intersection(complement(X0),X0)=null_class)),
% 8.49/1.48 inference(resolution,[status(thm)],[f12877,f4313])).
% 8.49/1.48 fof(f16533,plain,(
% 8.49/1.48 ![X0]: (intersection(complement(X0),X0)=null_class)),
% 8.49/1.48 inference(duplicate_literals_removal,[status(esa)],[f16532])).
% 8.49/1.48 fof(f16633,plain,(
% 8.49/1.48 ![X0]: (complement(null_class)=union(complement(X0),X0))),
% 8.49/1.48 inference(paramodulation,[status(thm)],[f16533,f148])).
% 8.49/1.48 fof(f16634,plain,(
% 8.49/1.48 ![X0]: (universal_class=union(complement(X0),X0)|~spl0_100|~spl0_3)),
% 8.49/1.48 inference(forward_demodulation,[status(thm)],[f4397,f16633])).
% 8.49/1.48 fof(f17449,plain,(
% 8.49/1.48 spl0_801 <=> subclass(identity_relation,inverse(subset_relation))),
% 8.49/1.48 introduced(split_symbol_definition)).
% 8.49/1.48 fof(f17452,plain,(
% 8.49/1.48 subclass(identity_relation,inverse(subset_relation))|subclass(identity_relation,inverse(subset_relation))),
% 8.49/1.48 inference(resolution,[status(thm)],[f7014,f117])).
% 8.49/1.48 fof(f17453,plain,(
% 8.49/1.48 spl0_801),
% 8.49/1.48 inference(split_clause,[status(thm)],[f17452,f17449])).
% 8.49/1.48 fof(f17533,plain,(
% 8.49/1.48 ~universal_class=universal_class|~spl0_100|~spl0_3),
% 8.49/1.48 inference(backward_demodulation,[status(thm)],[f16634,f245])).
% 8.49/1.50 fof(f17534,plain,(
% 8.49/1.50 $false|~spl0_100|~spl0_3),
% 8.49/1.50 inference(trivial_equality_resolution,[status(esa)],[f17533])).
% 8.49/1.50 fof(f17535,plain,(
% 8.49/1.50 ~spl0_100|~spl0_3),
% 8.49/1.50 inference(contradiction_clause,[status(thm)],[f17534])).
% 8.49/1.50 fof(f17536,plain,(
% 8.49/1.50 $false),
% 8.49/1.50 inference(sat_refutation,[status(thm)],[f1333,f5046,f7075,f7102,f7161,f7349,f7748,f8215,f8504,f8767,f8784,f8880,f9571,f11788,f17453,f17535])).
% 8.49/1.50 % SZS output end CNFRefutation for theBenchmark.p
% 8.49/1.52 % Elapsed time: 1.134755 seconds
% 8.49/1.52 % CPU time: 8.819407 seconds
% 8.49/1.52 % Total memory used: 367.622 MB
% 8.49/1.52 % Net memory used: 362.320 MB
%------------------------------------------------------------------------------