TSTP Solution File: SET097+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET097+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 12:33:59 EDT 2023
% Result : Theorem 0.20s 0.51s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET097+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n031.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 10:41:52 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.20/0.51 % Refutation found
% 0.20/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.51 fof(f1,axiom,(
% 0.20/0.51 (! [X,Y] :( subclass(X,Y)<=> (! [U] :( member(U,X)=> member(U,Y) ) )) )),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f2,axiom,(
% 0.20/0.51 (! [X] : subclass(X,universal_class) )),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f3,axiom,(
% 0.20/0.51 (! [X,Y] :( X = Y<=> ( subclass(X,Y)& subclass(Y,X) ) ) )),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f4,axiom,(
% 0.20/0.51 (! [U,X,Y] :( member(U,unordered_pair(X,Y))<=> ( member(U,universal_class)& ( U = X| U = Y ) ) ) )),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f5,axiom,(
% 0.20/0.51 (! [X,Y] : member(unordered_pair(X,Y),universal_class) )),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f6,axiom,(
% 0.20/0.51 (! [X] : singleton(X) = unordered_pair(X,X) )),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f7,axiom,(
% 0.20/0.51 (! [X,Y] : ordered_pair(X,Y) = unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) )),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f13,axiom,(
% 0.20/0.51 (! [X,Y,Z] :( member(Z,intersection(X,Y))<=> ( member(Z,X)& member(Z,Y) ) ) )),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f14,axiom,(
% 0.20/0.51 (! [X,Z] :( member(Z,complement(X))<=> ( member(Z,universal_class)& ~ member(Z,X) ) ) )),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f16,axiom,(
% 0.20/0.51 (! [X] : ~ member(X,null_class) )),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f30,axiom,(
% 0.20/0.51 (? [X] :( member(X,universal_class)& inductive(X)& (! [Y] :( inductive(Y)=> subclass(X,Y) ) )) )),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f41,axiom,(
% 0.20/0.51 (! [X] :( X != null_class=> (? [U] :( member(U,universal_class)& member(U,X)& disjoint(U,X) ) )) )),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f44,conjecture,(
% 0.20/0.51 (! [X] :( X = null_class| (? [Y] : singleton(Y) = X)| (? [V] :( member(V,X)& (? [W] : member(W,intersection(complement(singleton(V)),X)) )) )) )),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f45,negated_conjecture,(
% 0.20/0.51 ~((! [X] :( X = null_class| (? [Y] : singleton(Y) = X)| (? [V] :( member(V,X)& (? [W] : member(W,intersection(complement(singleton(V)),X)) )) )) ))),
% 0.20/0.51 inference(negated_conjecture,[status(cth)],[f44])).
% 0.20/0.51 fof(f46,plain,(
% 0.20/0.51 ![X,Y]: (subclass(X,Y)<=>(![U]: (~member(U,X)|member(U,Y))))),
% 0.20/0.51 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.20/0.51 fof(f47,plain,(
% 0.20/0.51 ![X,Y]: ((~subclass(X,Y)|(![U]: (~member(U,X)|member(U,Y))))&(subclass(X,Y)|(?[U]: (member(U,X)&~member(U,Y)))))),
% 0.20/0.51 inference(NNF_transformation,[status(esa)],[f46])).
% 0.20/0.51 fof(f48,plain,(
% 0.20/0.51 (![X,Y]: (~subclass(X,Y)|(![U]: (~member(U,X)|member(U,Y)))))&(![X,Y]: (subclass(X,Y)|(?[U]: (member(U,X)&~member(U,Y)))))),
% 0.20/0.51 inference(miniscoping,[status(esa)],[f47])).
% 0.20/0.51 fof(f49,plain,(
% 0.20/0.51 (![X,Y]: (~subclass(X,Y)|(![U]: (~member(U,X)|member(U,Y)))))&(![X,Y]: (subclass(X,Y)|(member(sk0_0(Y,X),X)&~member(sk0_0(Y,X),Y))))),
% 0.20/0.51 inference(skolemization,[status(esa)],[f48])).
% 0.20/0.51 fof(f50,plain,(
% 0.20/0.51 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f49])).
% 0.20/0.51 fof(f51,plain,(
% 0.20/0.51 ![X0,X1]: (subclass(X0,X1)|member(sk0_0(X1,X0),X0))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f49])).
% 0.20/0.51 fof(f52,plain,(
% 0.20/0.51 ![X0,X1]: (subclass(X0,X1)|~member(sk0_0(X1,X0),X1))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f49])).
% 0.20/0.51 fof(f53,plain,(
% 0.20/0.51 ![X0]: (subclass(X0,universal_class))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f2])).
% 0.20/0.51 fof(f54,plain,(
% 0.20/0.51 ![X,Y]: ((~X=Y|(subclass(X,Y)&subclass(Y,X)))&(X=Y|(~subclass(X,Y)|~subclass(Y,X))))),
% 0.20/0.51 inference(NNF_transformation,[status(esa)],[f3])).
% 0.20/0.51 fof(f55,plain,(
% 0.20/0.51 (![X,Y]: (~X=Y|(subclass(X,Y)&subclass(Y,X))))&(![X,Y]: (X=Y|(~subclass(X,Y)|~subclass(Y,X))))),
% 0.20/0.51 inference(miniscoping,[status(esa)],[f54])).
% 0.20/0.51 fof(f56,plain,(
% 0.20/0.51 ![X0,X1]: (~X0=X1|subclass(X0,X1))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f55])).
% 0.20/0.51 fof(f58,plain,(
% 0.20/0.51 ![X0,X1]: (X0=X1|~subclass(X0,X1)|~subclass(X1,X0))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f55])).
% 0.20/0.51 fof(f59,plain,(
% 0.20/0.51 ![U,X,Y]: ((~member(U,unordered_pair(X,Y))|(member(U,universal_class)&(U=X|U=Y)))&(member(U,unordered_pair(X,Y))|(~member(U,universal_class)|(~U=X&~U=Y))))),
% 0.20/0.51 inference(NNF_transformation,[status(esa)],[f4])).
% 0.20/0.51 fof(f60,plain,(
% 0.20/0.51 (![U,X,Y]: (~member(U,unordered_pair(X,Y))|(member(U,universal_class)&(U=X|U=Y))))&(![U,X,Y]: (member(U,unordered_pair(X,Y))|(~member(U,universal_class)|(~U=X&~U=Y))))),
% 0.20/0.51 inference(miniscoping,[status(esa)],[f59])).
% 0.20/0.51 fof(f62,plain,(
% 0.20/0.51 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f60])).
% 0.20/0.51 fof(f63,plain,(
% 0.20/0.51 ![X0,X1,X2]: (member(X0,unordered_pair(X1,X2))|~member(X0,universal_class)|~X0=X1)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f60])).
% 0.20/0.51 fof(f65,plain,(
% 0.20/0.51 ![X0,X1]: (member(unordered_pair(X0,X1),universal_class))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f5])).
% 0.20/0.51 fof(f66,plain,(
% 0.20/0.51 ![X0]: (singleton(X0)=unordered_pair(X0,X0))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f6])).
% 0.20/0.51 fof(f67,plain,(
% 0.20/0.51 ![X0,X1]: (ordered_pair(X0,X1)=unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f7])).
% 0.20/0.51 fof(f85,plain,(
% 0.20/0.51 ![X,Y,Z]: ((~member(Z,intersection(X,Y))|(member(Z,X)&member(Z,Y)))&(member(Z,intersection(X,Y))|(~member(Z,X)|~member(Z,Y))))),
% 0.20/0.51 inference(NNF_transformation,[status(esa)],[f13])).
% 0.20/0.51 fof(f86,plain,(
% 0.20/0.51 (![X,Y,Z]: (~member(Z,intersection(X,Y))|(member(Z,X)&member(Z,Y))))&(![X,Y,Z]: (member(Z,intersection(X,Y))|(~member(Z,X)|~member(Z,Y))))),
% 0.20/0.51 inference(miniscoping,[status(esa)],[f85])).
% 0.20/0.51 fof(f87,plain,(
% 0.20/0.51 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f86])).
% 0.20/0.51 fof(f88,plain,(
% 0.20/0.51 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f86])).
% 0.20/0.51 fof(f89,plain,(
% 0.20/0.51 ![X0,X1,X2]: (member(X0,intersection(X1,X2))|~member(X0,X1)|~member(X0,X2))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f86])).
% 0.20/0.51 fof(f90,plain,(
% 0.20/0.51 ![X,Z]: ((~member(Z,complement(X))|(member(Z,universal_class)&~member(Z,X)))&(member(Z,complement(X))|(~member(Z,universal_class)|member(Z,X))))),
% 0.20/0.51 inference(NNF_transformation,[status(esa)],[f14])).
% 0.20/0.51 fof(f91,plain,(
% 0.20/0.51 (![X,Z]: (~member(Z,complement(X))|(member(Z,universal_class)&~member(Z,X))))&(![X,Z]: (member(Z,complement(X))|(~member(Z,universal_class)|member(Z,X))))),
% 0.20/0.51 inference(miniscoping,[status(esa)],[f90])).
% 0.20/0.51 fof(f93,plain,(
% 0.20/0.51 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f91])).
% 0.20/0.51 fof(f94,plain,(
% 0.20/0.51 ![X0,X1]: (member(X0,complement(X1))|~member(X0,universal_class)|member(X0,X1))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f91])).
% 0.20/0.51 fof(f96,plain,(
% 0.20/0.51 ![X0]: (~member(X0,null_class))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.51 fof(f135,plain,(
% 0.20/0.51 ?[X]: ((member(X,universal_class)&inductive(X))&(![Y]: (~inductive(Y)|subclass(X,Y))))),
% 0.20/0.51 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 0.20/0.51 fof(f136,plain,(
% 0.20/0.51 ((member(sk0_1,universal_class)&inductive(sk0_1))&(![Y]: (~inductive(Y)|subclass(sk0_1,Y))))),
% 0.20/0.51 inference(skolemization,[status(esa)],[f135])).
% 0.20/0.51 fof(f138,plain,(
% 0.20/0.51 inductive(sk0_1)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f136])).
% 0.20/0.51 fof(f181,plain,(
% 0.20/0.51 ![X]: (X=null_class|(?[U]: ((member(U,universal_class)&member(U,X))&disjoint(U,X))))),
% 0.20/0.51 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 0.20/0.51 fof(f182,plain,(
% 0.20/0.51 ![X]: (X=null_class|((member(sk0_5(X),universal_class)&member(sk0_5(X),X))&disjoint(sk0_5(X),X)))),
% 0.20/0.51 inference(skolemization,[status(esa)],[f181])).
% 0.20/0.51 fof(f183,plain,(
% 0.20/0.51 ![X0]: (X0=null_class|member(sk0_5(X0),universal_class))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f182])).
% 0.20/0.51 fof(f184,plain,(
% 0.20/0.51 ![X0]: (X0=null_class|member(sk0_5(X0),X0))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f182])).
% 0.20/0.51 fof(f191,plain,(
% 0.20/0.51 (?[X]: ((~X=null_class&(![Y]: ~singleton(Y)=X))&(![V]: (~member(V,X)|(![W]: ~member(W,intersection(complement(singleton(V)),X)))))))),
% 0.20/0.51 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 0.20/0.51 fof(f192,plain,(
% 0.20/0.51 ((~sk0_7=null_class&(![Y]: ~singleton(Y)=sk0_7))&(![V]: (~member(V,sk0_7)|(![W]: ~member(W,intersection(complement(singleton(V)),sk0_7))))))),
% 0.20/0.51 inference(skolemization,[status(esa)],[f191])).
% 0.20/0.51 fof(f193,plain,(
% 0.20/0.51 ~sk0_7=null_class),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f192])).
% 0.20/0.51 fof(f194,plain,(
% 0.20/0.51 ![X0]: (~singleton(X0)=sk0_7)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f192])).
% 0.20/0.51 fof(f195,plain,(
% 0.20/0.51 ![X0,X1]: (~member(X0,sk0_7)|~member(X1,intersection(complement(singleton(X0)),sk0_7)))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f192])).
% 0.20/0.51 fof(f196,plain,(
% 0.20/0.51 ![X0]: (subclass(X0,X0))),
% 0.20/0.51 inference(destructive_equality_resolution,[status(esa)],[f56])).
% 0.20/0.51 fof(f198,plain,(
% 0.20/0.51 ![X0,X1]: (member(X0,unordered_pair(X0,X1))|~member(X0,universal_class))),
% 0.20/0.51 inference(destructive_equality_resolution,[status(esa)],[f63])).
% 0.20/0.51 fof(f202,plain,(
% 0.20/0.51 ![X0,X1]: (~member(X0,complement(singleton(X1)))|~member(X0,sk0_7)|~member(X1,sk0_7))),
% 0.20/0.51 inference(resolution,[status(thm)],[f89,f195])).
% 0.20/0.51 fof(f206,plain,(
% 0.20/0.51 ![X0,X1,X2,X3]: (~subclass(intersection(X0,X1),X2)|member(X3,X2)|~member(X3,X0)|~member(X3,X1))),
% 0.20/0.51 inference(resolution,[status(thm)],[f50,f89])).
% 0.20/0.51 fof(f210,plain,(
% 0.20/0.51 ![X0]: (member(singleton(X0),universal_class))),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f66,f65])).
% 0.20/0.51 fof(f238,plain,(
% 0.20/0.51 ![X0,X1]: (intersection(X0,X1)=null_class|member(sk0_5(intersection(X0,X1)),X1))),
% 0.20/0.51 inference(resolution,[status(thm)],[f184,f88])).
% 0.20/0.51 fof(f239,plain,(
% 0.20/0.51 ![X0,X1]: (intersection(X0,X1)=null_class|member(sk0_5(intersection(X0,X1)),X0))),
% 0.20/0.51 inference(resolution,[status(thm)],[f184,f87])).
% 0.20/0.51 fof(f254,plain,(
% 0.20/0.51 ![X0]: (subclass(null_class,X0))),
% 0.20/0.51 inference(resolution,[status(thm)],[f51,f96])).
% 0.20/0.51 fof(f280,plain,(
% 0.20/0.51 spl0_8 <=> ~member(X1,sk0_7)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f281,plain,(
% 0.20/0.51 ![X0]: (~member(X0,sk0_7)|~spl0_8)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f280])).
% 0.20/0.51 fof(f293,plain,(
% 0.20/0.51 ![X0,X1,X2]: (member(X0,universal_class)|~member(X0,X1)|~member(X0,X2))),
% 0.20/0.51 inference(resolution,[status(thm)],[f206,f53])).
% 0.20/0.51 fof(f314,plain,(
% 0.20/0.51 spl0_12 <=> ~inductive(X1)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f315,plain,(
% 0.20/0.51 ![X0]: (~inductive(X0)|~spl0_12)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f314])).
% 0.20/0.51 fof(f336,plain,(
% 0.20/0.51 sk0_7=null_class|~spl0_8),
% 0.20/0.51 inference(resolution,[status(thm)],[f281,f184])).
% 0.20/0.51 fof(f337,plain,(
% 0.20/0.51 $false|~spl0_8),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f336,f193])).
% 0.20/0.51 fof(f338,plain,(
% 0.20/0.51 ~spl0_8),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f337])).
% 0.20/0.51 fof(f371,plain,(
% 0.20/0.51 ![X0,X1]: (intersection(X0,complement(singleton(X1)))=null_class|~member(sk0_5(intersection(X0,complement(singleton(X1)))),sk0_7)|~member(X1,sk0_7))),
% 0.20/0.51 inference(resolution,[status(thm)],[f238,f202])).
% 0.20/0.51 fof(f388,plain,(
% 0.20/0.51 spl0_19 <=> member(null_class,X0)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f389,plain,(
% 0.20/0.51 ![X0]: (member(null_class,X0)|~spl0_19)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f388])).
% 0.20/0.51 fof(f527,plain,(
% 0.20/0.51 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f66,f62])).
% 0.20/0.51 fof(f528,plain,(
% 0.20/0.51 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.20/0.51 inference(duplicate_literals_removal,[status(esa)],[f527])).
% 0.20/0.51 fof(f531,plain,(
% 0.20/0.51 ![X0,X1]: (sk0_0(X0,singleton(X1))=X1|subclass(singleton(X1),X0))),
% 0.20/0.51 inference(resolution,[status(thm)],[f528,f51])).
% 0.20/0.51 fof(f534,plain,(
% 0.20/0.51 ![X0]: (sk0_5(singleton(X0))=X0|singleton(X0)=null_class)),
% 0.20/0.51 inference(resolution,[status(thm)],[f528,f184])).
% 0.20/0.51 fof(f592,plain,(
% 0.20/0.51 ![X0,X1]: (member(singleton(X0),ordered_pair(X0,X1))|~member(singleton(X0),universal_class))),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f67,f198])).
% 0.20/0.51 fof(f593,plain,(
% 0.20/0.51 ![X0,X1]: (member(singleton(X0),ordered_pair(X0,X1)))),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f592,f210])).
% 0.20/0.51 fof(f605,plain,(
% 0.20/0.51 spl0_29 <=> sk0_7=null_class),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f606,plain,(
% 0.20/0.51 sk0_7=null_class|~spl0_29),
% 0.20/0.51 inference(component_clause,[status(thm)],[f605])).
% 0.20/0.51 fof(f628,plain,(
% 0.20/0.51 spl0_33 <=> member(sk0_5(sk0_7),universal_class)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f630,plain,(
% 0.20/0.51 ~member(sk0_5(sk0_7),universal_class)|spl0_33),
% 0.20/0.51 inference(component_clause,[status(thm)],[f628])).
% 0.20/0.51 fof(f678,plain,(
% 0.20/0.51 sk0_7=null_class|spl0_33),
% 0.20/0.51 inference(resolution,[status(thm)],[f630,f183])).
% 0.20/0.51 fof(f679,plain,(
% 0.20/0.51 $false|spl0_33),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f678,f193])).
% 0.20/0.51 fof(f680,plain,(
% 0.20/0.51 spl0_33),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f679])).
% 0.20/0.51 fof(f681,plain,(
% 0.20/0.51 $false|~spl0_29),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f606,f193])).
% 0.20/0.51 fof(f682,plain,(
% 0.20/0.51 ~spl0_29),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f681])).
% 0.20/0.51 fof(f701,plain,(
% 0.20/0.51 spl0_43 <=> subclass(universal_class,universal_class)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f703,plain,(
% 0.20/0.51 ~subclass(universal_class,universal_class)|spl0_43),
% 0.20/0.51 inference(component_clause,[status(thm)],[f701])).
% 0.20/0.51 fof(f746,plain,(
% 0.20/0.51 spl0_50 <=> ~subclass(universal_class,X0)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f747,plain,(
% 0.20/0.51 ![X0]: (~subclass(universal_class,X0)|~spl0_50)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f746])).
% 0.20/0.51 fof(f752,plain,(
% 0.20/0.51 $false|spl0_43),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f703,f53])).
% 0.20/0.51 fof(f753,plain,(
% 0.20/0.51 spl0_43),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f752])).
% 0.20/0.51 fof(f754,plain,(
% 0.20/0.51 spl0_51 <=> subclass(sk0_7,universal_class)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f756,plain,(
% 0.20/0.51 ~subclass(sk0_7,universal_class)|spl0_51),
% 0.20/0.51 inference(component_clause,[status(thm)],[f754])).
% 0.20/0.51 fof(f759,plain,(
% 0.20/0.51 spl0_52 <=> subclass(sk0_7,sk0_7)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f761,plain,(
% 0.20/0.51 ~subclass(sk0_7,sk0_7)|spl0_52),
% 0.20/0.51 inference(component_clause,[status(thm)],[f759])).
% 0.20/0.51 fof(f805,plain,(
% 0.20/0.51 $false|spl0_51),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f756,f53])).
% 0.20/0.51 fof(f806,plain,(
% 0.20/0.51 spl0_51),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f805])).
% 0.20/0.51 fof(f966,plain,(
% 0.20/0.51 ![X0]: (intersection(sk0_7,complement(singleton(X0)))=null_class|~member(X0,sk0_7)|intersection(sk0_7,complement(singleton(X0)))=null_class)),
% 0.20/0.51 inference(resolution,[status(thm)],[f371,f239])).
% 0.20/0.51 fof(f967,plain,(
% 0.20/0.51 ![X0]: (intersection(sk0_7,complement(singleton(X0)))=null_class|~member(X0,sk0_7))),
% 0.20/0.51 inference(duplicate_literals_removal,[status(esa)],[f966])).
% 0.20/0.51 fof(f989,plain,(
% 0.20/0.51 spl0_81 <=> subclass(null_class,null_class)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f991,plain,(
% 0.20/0.51 ~subclass(null_class,null_class)|spl0_81),
% 0.20/0.51 inference(component_clause,[status(thm)],[f989])).
% 0.20/0.51 fof(f994,plain,(
% 0.20/0.51 $false|spl0_81),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f991,f254])).
% 0.20/0.51 fof(f995,plain,(
% 0.20/0.51 spl0_81),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f994])).
% 0.20/0.51 fof(f1343,plain,(
% 0.20/0.51 spl0_114 <=> inductive(sk0_1)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f1345,plain,(
% 0.20/0.51 ~inductive(sk0_1)|spl0_114),
% 0.20/0.51 inference(component_clause,[status(thm)],[f1343])).
% 0.20/0.51 fof(f1362,plain,(
% 0.20/0.51 $false|spl0_114),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1345,f138])).
% 0.20/0.51 fof(f1363,plain,(
% 0.20/0.51 spl0_114),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f1362])).
% 0.20/0.51 fof(f1391,plain,(
% 0.20/0.51 ![X0]: (singleton(X0)=null_class|member(X0,universal_class)|singleton(X0)=null_class)),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f534,f183])).
% 0.20/0.51 fof(f1392,plain,(
% 0.20/0.51 ![X0]: (singleton(X0)=null_class|member(X0,universal_class))),
% 0.20/0.51 inference(duplicate_literals_removal,[status(esa)],[f1391])).
% 0.20/0.51 fof(f1424,plain,(
% 0.20/0.51 spl0_123 <=> intersection(sk0_7,complement(null_class))=null_class),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f1425,plain,(
% 0.20/0.51 intersection(sk0_7,complement(null_class))=null_class|~spl0_123),
% 0.20/0.51 inference(component_clause,[status(thm)],[f1424])).
% 0.20/0.51 fof(f1427,plain,(
% 0.20/0.51 spl0_124 <=> ~member(X0,sk0_7)|member(X0,universal_class)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f1428,plain,(
% 0.20/0.51 ![X0]: (~member(X0,sk0_7)|member(X0,universal_class)|~spl0_124)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f1427])).
% 0.20/0.51 fof(f1430,plain,(
% 0.20/0.51 ![X0]: (intersection(sk0_7,complement(null_class))=null_class|~member(X0,sk0_7)|member(X0,universal_class))),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f1392,f967])).
% 0.20/0.51 fof(f1431,plain,(
% 0.20/0.51 spl0_123|spl0_124),
% 0.20/0.51 inference(split_clause,[status(thm)],[f1430,f1424,f1427])).
% 0.20/0.51 fof(f1501,plain,(
% 0.20/0.51 spl0_138 <=> ~member(X0,sk0_7)|~member(X0,universal_class)|member(X0,null_class)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f1502,plain,(
% 0.20/0.51 ![X0]: (~member(X0,sk0_7)|~member(X0,universal_class)|member(X0,null_class)|~spl0_138)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f1501])).
% 0.20/0.51 fof(f1589,plain,(
% 0.20/0.51 $false|~spl0_50),
% 0.20/0.51 inference(resolution,[status(thm)],[f747,f53])).
% 0.20/0.51 fof(f1590,plain,(
% 0.20/0.51 ~spl0_50),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f1589])).
% 0.20/0.51 fof(f1929,plain,(
% 0.20/0.51 ![X0,X1]: (member(singleton(X0),universal_class)|~member(singleton(X0),X1))),
% 0.20/0.51 inference(resolution,[status(thm)],[f293,f593])).
% 0.20/0.51 fof(f1944,plain,(
% 0.20/0.51 ![X0]: (member(singleton(X0),universal_class))),
% 0.20/0.51 inference(resolution,[status(thm)],[f1929,f593])).
% 0.20/0.51 fof(f2169,plain,(
% 0.20/0.51 ![X0]: (~member(X0,sk0_7)|~member(X0,universal_class)|~spl0_138)),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1502,f96])).
% 0.20/0.51 fof(f2180,plain,(
% 0.20/0.51 ![X0]: (member(X0,null_class)|~member(X0,sk0_7)|~member(X0,complement(null_class))|~spl0_123)),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f1425,f89])).
% 0.20/0.51 fof(f2181,plain,(
% 0.20/0.51 ![X0]: (~member(X0,sk0_7)|~member(X0,complement(null_class))|~spl0_123)),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f2180,f93])).
% 0.20/0.51 fof(f2572,plain,(
% 0.20/0.51 $false|spl0_52),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f761,f196])).
% 0.20/0.51 fof(f2573,plain,(
% 0.20/0.51 spl0_52),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f2572])).
% 0.20/0.51 fof(f2580,plain,(
% 0.20/0.51 ~member(sk0_5(sk0_7),universal_class)|sk0_7=null_class|~spl0_138),
% 0.20/0.51 inference(resolution,[status(thm)],[f2169,f184])).
% 0.20/0.51 fof(f2581,plain,(
% 0.20/0.51 ~spl0_33|spl0_29|~spl0_138),
% 0.20/0.51 inference(split_clause,[status(thm)],[f2580,f628,f605,f1501])).
% 0.20/0.51 fof(f2756,plain,(
% 0.20/0.51 ![X0,X1]: (~member(X0,universal_class)|member(X0,singleton(X1))|~member(X0,sk0_7)|~member(X1,sk0_7))),
% 0.20/0.51 inference(resolution,[status(thm)],[f94,f202])).
% 0.20/0.51 fof(f2757,plain,(
% 0.20/0.51 ![X0,X1]: (member(X0,singleton(X1))|~member(X0,sk0_7)|~member(X1,sk0_7)|~spl0_124)),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f2756,f1428])).
% 0.20/0.51 fof(f2896,plain,(
% 0.20/0.51 ![X0,X1]: (~member(sk0_0(singleton(X0),X1),sk0_7)|~member(X0,sk0_7)|subclass(X1,singleton(X0))|~spl0_124)),
% 0.20/0.51 inference(resolution,[status(thm)],[f2757,f52])).
% 0.20/0.51 fof(f2948,plain,(
% 0.20/0.51 spl0_200 <=> member(sk0_5(sk0_7),X1)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f2949,plain,(
% 0.20/0.51 ![X0]: (member(sk0_5(sk0_7),X0)|~spl0_200)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f2948])).
% 0.20/0.51 fof(f3003,plain,(
% 0.20/0.51 ![X0]: (~member(sk0_5(sk0_7),X0)|~spl0_200)),
% 0.20/0.51 inference(resolution,[status(thm)],[f2949,f93])).
% 0.20/0.51 fof(f3004,plain,(
% 0.20/0.51 $false|~spl0_200),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f3003,f2949])).
% 0.20/0.51 fof(f3005,plain,(
% 0.20/0.51 ~spl0_200),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f3004])).
% 0.20/0.51 fof(f3039,plain,(
% 0.20/0.51 ![X0]: (~member(X0,sk0_7)|~member(X0,universal_class)|member(X0,null_class)|~spl0_123)),
% 0.20/0.51 inference(resolution,[status(thm)],[f2181,f94])).
% 0.20/0.51 fof(f3040,plain,(
% 0.20/0.51 spl0_138|~spl0_123),
% 0.20/0.51 inference(split_clause,[status(thm)],[f3039,f1501,f1424])).
% 0.20/0.51 fof(f3041,plain,(
% 0.20/0.51 ![X0]: (~member(X0,sk0_7)|subclass(sk0_7,singleton(X0))|subclass(sk0_7,singleton(X0))|~spl0_124)),
% 0.20/0.51 inference(resolution,[status(thm)],[f2896,f51])).
% 0.20/0.51 fof(f3042,plain,(
% 0.20/0.51 ![X0]: (~member(X0,sk0_7)|subclass(sk0_7,singleton(X0))|~spl0_124)),
% 0.20/0.51 inference(duplicate_literals_removal,[status(esa)],[f3041])).
% 0.20/0.51 fof(f3100,plain,(
% 0.20/0.51 ![X0]: (~member(X0,sk0_7)|singleton(X0)=sk0_7|~subclass(singleton(X0),sk0_7)|~spl0_124)),
% 0.20/0.51 inference(resolution,[status(thm)],[f3042,f58])).
% 0.20/0.51 fof(f3101,plain,(
% 0.20/0.51 ![X0]: (~member(X0,sk0_7)|~subclass(singleton(X0),sk0_7)|~spl0_124)),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f3100,f194])).
% 0.20/0.51 fof(f3637,plain,(
% 0.20/0.51 spl0_248 <=> subclass(complement(null_class),universal_class)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f3639,plain,(
% 0.20/0.51 ~subclass(complement(null_class),universal_class)|spl0_248),
% 0.20/0.51 inference(component_clause,[status(thm)],[f3637])).
% 0.20/0.53 fof(f3642,plain,(
% 0.20/0.53 $false|spl0_248),
% 0.20/0.53 inference(forward_subsumption_resolution,[status(thm)],[f3639,f53])).
% 0.20/0.53 fof(f3643,plain,(
% 0.20/0.53 spl0_248),
% 0.20/0.53 inference(contradiction_clause,[status(thm)],[f3642])).
% 0.20/0.53 fof(f4254,plain,(
% 0.20/0.53 $false|~spl0_12),
% 0.20/0.53 inference(backward_subsumption_resolution,[status(thm)],[f138,f315])).
% 0.20/0.53 fof(f4255,plain,(
% 0.20/0.53 ~spl0_12),
% 0.20/0.53 inference(contradiction_clause,[status(thm)],[f4254])).
% 0.20/0.53 fof(f4286,plain,(
% 0.20/0.53 ![X0]: (~member(null_class,X0)|~spl0_19)),
% 0.20/0.53 inference(resolution,[status(thm)],[f389,f93])).
% 0.20/0.53 fof(f4287,plain,(
% 0.20/0.53 $false|~spl0_19),
% 0.20/0.53 inference(forward_subsumption_resolution,[status(thm)],[f4286,f389])).
% 0.20/0.53 fof(f4288,plain,(
% 0.20/0.53 ~spl0_19),
% 0.20/0.53 inference(contradiction_clause,[status(thm)],[f4287])).
% 0.20/0.53 fof(f7453,plain,(
% 0.20/0.53 spl0_507 <=> member(singleton(sk0_5(sk0_7)),universal_class)),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f7455,plain,(
% 0.20/0.53 ~member(singleton(sk0_5(sk0_7)),universal_class)|spl0_507),
% 0.20/0.53 inference(component_clause,[status(thm)],[f7453])).
% 0.20/0.53 fof(f7476,plain,(
% 0.20/0.53 $false|spl0_507),
% 0.20/0.53 inference(forward_subsumption_resolution,[status(thm)],[f7455,f1944])).
% 0.20/0.53 fof(f7477,plain,(
% 0.20/0.53 spl0_507),
% 0.20/0.53 inference(contradiction_clause,[status(thm)],[f7476])).
% 0.20/0.53 fof(f7817,plain,(
% 0.20/0.53 ![X0,X1]: (subclass(singleton(X0),X1)|~member(X0,X1)|subclass(singleton(X0),X1))),
% 0.20/0.53 inference(paramodulation,[status(thm)],[f531,f52])).
% 0.20/0.53 fof(f7818,plain,(
% 0.20/0.53 ![X0,X1]: (subclass(singleton(X0),X1)|~member(X0,X1))),
% 0.20/0.53 inference(duplicate_literals_removal,[status(esa)],[f7817])).
% 0.20/0.53 fof(f7819,plain,(
% 0.20/0.53 ![X0]: (~member(X0,sk0_7)|~spl0_124)),
% 0.20/0.53 inference(backward_subsumption_resolution,[status(thm)],[f3101,f7818])).
% 0.20/0.53 fof(f7820,plain,(
% 0.20/0.53 spl0_8|~spl0_124),
% 0.20/0.53 inference(split_clause,[status(thm)],[f7819,f280,f1427])).
% 0.20/0.53 fof(f7833,plain,(
% 0.20/0.53 $false),
% 0.20/0.53 inference(sat_refutation,[status(thm)],[f338,f680,f682,f753,f806,f995,f1363,f1431,f1590,f2573,f2581,f3005,f3040,f3643,f4255,f4288,f7477,f7820])).
% 0.20/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.53 % Elapsed time: 0.186623 seconds
% 0.20/0.53 % CPU time: 0.654355 seconds
% 0.20/0.53 % Memory used: 63.968 MB
%------------------------------------------------------------------------------