TSTP Solution File: SEV521+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEV521+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 12:38:27 EDT 2023
% Result : Timeout 287.82s 36.58s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEV521+1 : TPTP v8.1.2. Released v7.3.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:17:16 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 287.82/36.58 % Refutation found
% 287.82/36.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 287.82/36.58 % SZS output start CNFRefutation for theBenchmark
% 287.82/36.58 fof(f1,axiom,(
% 287.82/36.58 (! [A,B] :( subset(A,B)<=> (! [X] :( member(X,A)=> member(X,B) ) )) )),
% 287.82/36.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 287.82/36.58 fof(f3,axiom,(
% 287.82/36.58 (! [X,A] :( member(X,power_set(A))<=> subset(X,A) ) )),
% 287.82/36.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 287.82/36.58 fof(f4,axiom,(
% 287.82/36.58 (! [X,A,B] :( member(X,intersection(A,B))<=> ( member(X,A)& member(X,B) ) ) )),
% 287.82/36.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 287.82/36.58 fof(f5,axiom,(
% 287.82/36.58 (! [X,A,B] :( member(X,union(A,B))<=> ( member(X,A)| member(X,B) ) ) )),
% 287.82/36.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 287.82/36.58 fof(f6,axiom,(
% 287.82/36.58 (! [X] : ~ member(X,empty_set) )),
% 287.82/36.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 287.82/36.58 fof(f7,axiom,(
% 287.82/36.58 (! [B,A,E] :( member(B,difference(E,A))<=> ( member(B,E)& ~ member(B,A) ) ) )),
% 287.82/36.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 287.82/36.58 fof(f8,axiom,(
% 287.82/36.58 (! [X,A] :( member(X,singleton(A))<=> X = A ) )),
% 287.82/36.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 287.82/36.58 fof(f9,axiom,(
% 287.82/36.58 (! [X,A,B] :( member(X,unordered_pair(A,B))<=> ( X = A| X = B ) ) )),
% 287.82/36.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 287.82/36.58 fof(f10,axiom,(
% 287.82/36.58 (! [X,A] :( member(X,sum(A))<=> (? [Y] :( member(Y,A)& member(X,Y) ) )) )),
% 287.82/36.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 287.82/36.58 fof(f11,axiom,(
% 287.82/36.58 (! [X,A] :( member(X,product(A))<=> (! [Y] :( member(Y,A)=> member(X,Y) ) )) )),
% 287.82/36.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 287.82/36.58 fof(f12,axiom,(
% 287.82/36.58 (! [A,B] :( disjoint(A,B)<=> ~ (? [X] :( member(X,A)& member(X,B) ) )) )),
% 287.82/36.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 287.82/36.58 fof(f13,axiom,(
% 287.82/36.58 (! [A,E] :( partition(A,E)<=> ( (! [X] :( member(X,A)=> subset(X,E) ))& (! [X] :( member(X,E)=> (? [Y] :( member(Y,A)& member(X,Y) ) )))& (! [X,Y] :( ( member(X,A)& member(Y,A) )=> ( (? [Z] :( member(Z,X)& member(Z,Y) ))=> X = Y ) ) )) ) )),
% 287.82/36.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 287.82/36.58 fof(f15,axiom,(
% 287.82/36.58 (! [R,E,A,X] :( member(X,equivalence_class(A,E,R))<=> ( member(X,E)& apply(R,A,X) ) ) )),
% 287.82/36.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 287.82/36.58 fof(f17,axiom,(
% 287.82/36.58 (! [X] :( non_overlapping(X)<=> (? [U] : partition(X,U) )) )),
% 287.82/36.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 287.82/36.58 fof(f18,axiom,(
% 287.82/36.58 (! [A,B,C] : insertIntoMember(A,B,C) = union(union(B,singleton(A)),difference(C,singleton(B))) )),
% 287.82/36.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 287.82/36.58 fof(f19,axiom,(
% 287.82/36.58 (! [A,B] :( B = unaryUnion(A)<=> (! [C] :( member(C,B)<=> (? [D] :( member(C,D)& member(D,A) ) )) )) )),
% 287.82/36.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 287.82/36.58 fof(f20,conjecture,(
% 287.82/36.58 (! [E] :( E != empty_set=> partition(singleton(E),E) ) )),
% 287.82/36.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 287.82/36.58 fof(f21,negated_conjecture,(
% 287.82/36.58 ~((! [E] :( E != empty_set=> partition(singleton(E),E) ) ))),
% 287.82/36.58 inference(negated_conjecture,[status(cth)],[f20])).
% 287.82/36.58 fof(f22,plain,(
% 287.82/36.58 ![A,B]: (subset(A,B)<=>(![X]: (~member(X,A)|member(X,B))))),
% 287.82/36.58 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 287.82/36.58 fof(f23,plain,(
% 287.82/36.58 ![A,B]: ((~subset(A,B)|(![X]: (~member(X,A)|member(X,B))))&(subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 287.82/36.58 inference(NNF_transformation,[status(esa)],[f22])).
% 287.82/36.58 fof(f24,plain,(
% 287.82/36.58 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 287.82/36.58 inference(miniscoping,[status(esa)],[f23])).
% 287.82/36.58 fof(f25,plain,(
% 287.82/36.58 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(member(sk0_0(B,A),A)&~member(sk0_0(B,A),B))))),
% 287.82/36.58 inference(skolemization,[status(esa)],[f24])).
% 287.82/36.58 fof(f26,plain,(
% 287.82/36.58 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 287.82/36.58 inference(cnf_transformation,[status(esa)],[f25])).
% 287.82/36.58 fof(f27,plain,(
% 287.82/36.58 ![X0,X1]: (subset(X0,X1)|member(sk0_0(X1,X0),X0))),
% 287.82/36.58 inference(cnf_transformation,[status(esa)],[f25])).
% 287.82/36.58 fof(f28,plain,(
% 287.82/36.58 ![X0,X1]: (subset(X0,X1)|~member(sk0_0(X1,X0),X1))),
% 287.82/36.58 inference(cnf_transformation,[status(esa)],[f25])).
% 287.82/36.60 fof(f34,plain,(
% 287.82/36.60 ![X,A]: ((~member(X,power_set(A))|subset(X,A))&(member(X,power_set(A))|~subset(X,A)))),
% 287.82/36.60 inference(NNF_transformation,[status(esa)],[f3])).
% 287.82/36.60 fof(f35,plain,(
% 287.82/36.60 (![X,A]: (~member(X,power_set(A))|subset(X,A)))&(![X,A]: (member(X,power_set(A))|~subset(X,A)))),
% 287.82/36.60 inference(miniscoping,[status(esa)],[f34])).
% 287.82/36.60 fof(f36,plain,(
% 287.82/36.60 ![X0,X1]: (~member(X0,power_set(X1))|subset(X0,X1))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f35])).
% 287.82/36.60 fof(f37,plain,(
% 287.82/36.60 ![X0,X1]: (member(X0,power_set(X1))|~subset(X0,X1))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f35])).
% 287.82/36.60 fof(f38,plain,(
% 287.82/36.60 ![X,A,B]: ((~member(X,intersection(A,B))|(member(X,A)&member(X,B)))&(member(X,intersection(A,B))|(~member(X,A)|~member(X,B))))),
% 287.82/36.60 inference(NNF_transformation,[status(esa)],[f4])).
% 287.82/36.60 fof(f39,plain,(
% 287.82/36.60 (![X,A,B]: (~member(X,intersection(A,B))|(member(X,A)&member(X,B))))&(![X,A,B]: (member(X,intersection(A,B))|(~member(X,A)|~member(X,B))))),
% 287.82/36.60 inference(miniscoping,[status(esa)],[f38])).
% 287.82/36.60 fof(f40,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f39])).
% 287.82/36.60 fof(f41,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f39])).
% 287.82/36.60 fof(f42,plain,(
% 287.82/36.60 ![X0,X1,X2]: (member(X0,intersection(X1,X2))|~member(X0,X1)|~member(X0,X2))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f39])).
% 287.82/36.60 fof(f43,plain,(
% 287.82/36.60 ![X,A,B]: ((~member(X,union(A,B))|(member(X,A)|member(X,B)))&(member(X,union(A,B))|(~member(X,A)&~member(X,B))))),
% 287.82/36.60 inference(NNF_transformation,[status(esa)],[f5])).
% 287.82/36.60 fof(f44,plain,(
% 287.82/36.60 (![X,A,B]: (~member(X,union(A,B))|(member(X,A)|member(X,B))))&(![X,A,B]: (member(X,union(A,B))|(~member(X,A)&~member(X,B))))),
% 287.82/36.60 inference(miniscoping,[status(esa)],[f43])).
% 287.82/36.60 fof(f45,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~member(X0,union(X1,X2))|member(X0,X1)|member(X0,X2))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f44])).
% 287.82/36.60 fof(f46,plain,(
% 287.82/36.60 ![X0,X1,X2]: (member(X0,union(X1,X2))|~member(X0,X1))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f44])).
% 287.82/36.60 fof(f47,plain,(
% 287.82/36.60 ![X0,X1,X2]: (member(X0,union(X1,X2))|~member(X0,X2))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f44])).
% 287.82/36.60 fof(f48,plain,(
% 287.82/36.60 ![X0]: (~member(X0,empty_set))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f6])).
% 287.82/36.60 fof(f49,plain,(
% 287.82/36.60 ![B,A,E]: ((~member(B,difference(E,A))|(member(B,E)&~member(B,A)))&(member(B,difference(E,A))|(~member(B,E)|member(B,A))))),
% 287.82/36.60 inference(NNF_transformation,[status(esa)],[f7])).
% 287.82/36.60 fof(f50,plain,(
% 287.82/36.60 (![B,A,E]: (~member(B,difference(E,A))|(member(B,E)&~member(B,A))))&(![B,A,E]: (member(B,difference(E,A))|(~member(B,E)|member(B,A))))),
% 287.82/36.60 inference(miniscoping,[status(esa)],[f49])).
% 287.82/36.60 fof(f51,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|member(X0,X1))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f50])).
% 287.82/36.60 fof(f52,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|~member(X0,X2))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f50])).
% 287.82/36.60 fof(f53,plain,(
% 287.82/36.60 ![X0,X1,X2]: (member(X0,difference(X1,X2))|~member(X0,X1)|member(X0,X2))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f50])).
% 287.82/36.60 fof(f54,plain,(
% 287.82/36.60 ![X,A]: ((~member(X,singleton(A))|X=A)&(member(X,singleton(A))|~X=A))),
% 287.82/36.60 inference(NNF_transformation,[status(esa)],[f8])).
% 287.82/36.60 fof(f55,plain,(
% 287.82/36.60 (![X,A]: (~member(X,singleton(A))|X=A))&(![X,A]: (member(X,singleton(A))|~X=A))),
% 287.82/36.60 inference(miniscoping,[status(esa)],[f54])).
% 287.82/36.60 fof(f56,plain,(
% 287.82/36.60 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f55])).
% 287.82/36.60 fof(f57,plain,(
% 287.82/36.60 ![X0,X1]: (member(X0,singleton(X1))|~X0=X1)),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f55])).
% 287.82/36.60 fof(f58,plain,(
% 287.82/36.60 ![X,A,B]: ((~member(X,unordered_pair(A,B))|(X=A|X=B))&(member(X,unordered_pair(A,B))|(~X=A&~X=B)))),
% 287.82/36.60 inference(NNF_transformation,[status(esa)],[f9])).
% 287.82/36.60 fof(f59,plain,(
% 287.82/36.60 (![X,A,B]: (~member(X,unordered_pair(A,B))|(X=A|X=B)))&(![X,A,B]: (member(X,unordered_pair(A,B))|(~X=A&~X=B)))),
% 287.82/36.60 inference(miniscoping,[status(esa)],[f58])).
% 287.82/36.60 fof(f60,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f59])).
% 287.82/36.60 fof(f61,plain,(
% 287.82/36.60 ![X0,X1,X2]: (member(X0,unordered_pair(X1,X2))|~X0=X1)),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f59])).
% 287.82/36.60 fof(f62,plain,(
% 287.82/36.60 ![X0,X1,X2]: (member(X0,unordered_pair(X1,X2))|~X0=X2)),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f59])).
% 287.82/36.60 fof(f63,plain,(
% 287.82/36.60 ![X,A]: ((~member(X,sum(A))|(?[Y]: (member(Y,A)&member(X,Y))))&(member(X,sum(A))|(![Y]: (~member(Y,A)|~member(X,Y)))))),
% 287.82/36.60 inference(NNF_transformation,[status(esa)],[f10])).
% 287.82/36.60 fof(f64,plain,(
% 287.82/36.60 (![X,A]: (~member(X,sum(A))|(?[Y]: (member(Y,A)&member(X,Y)))))&(![X,A]: (member(X,sum(A))|(![Y]: (~member(Y,A)|~member(X,Y)))))),
% 287.82/36.60 inference(miniscoping,[status(esa)],[f63])).
% 287.82/36.60 fof(f65,plain,(
% 287.82/36.60 (![X,A]: (~member(X,sum(A))|(member(sk0_1(A,X),A)&member(X,sk0_1(A,X)))))&(![X,A]: (member(X,sum(A))|(![Y]: (~member(Y,A)|~member(X,Y)))))),
% 287.82/36.60 inference(skolemization,[status(esa)],[f64])).
% 287.82/36.60 fof(f66,plain,(
% 287.82/36.60 ![X0,X1]: (~member(X0,sum(X1))|member(sk0_1(X1,X0),X1))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f65])).
% 287.82/36.60 fof(f67,plain,(
% 287.82/36.60 ![X0,X1]: (~member(X0,sum(X1))|member(X0,sk0_1(X1,X0)))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f65])).
% 287.82/36.60 fof(f68,plain,(
% 287.82/36.60 ![X0,X1,X2]: (member(X0,sum(X1))|~member(X2,X1)|~member(X0,X2))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f65])).
% 287.82/36.60 fof(f69,plain,(
% 287.82/36.60 ![X,A]: (member(X,product(A))<=>(![Y]: (~member(Y,A)|member(X,Y))))),
% 287.82/36.60 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 287.82/36.60 fof(f70,plain,(
% 287.82/36.60 ![X,A]: ((~member(X,product(A))|(![Y]: (~member(Y,A)|member(X,Y))))&(member(X,product(A))|(?[Y]: (member(Y,A)&~member(X,Y)))))),
% 287.82/36.60 inference(NNF_transformation,[status(esa)],[f69])).
% 287.82/36.60 fof(f71,plain,(
% 287.82/36.60 (![X,A]: (~member(X,product(A))|(![Y]: (~member(Y,A)|member(X,Y)))))&(![X,A]: (member(X,product(A))|(?[Y]: (member(Y,A)&~member(X,Y)))))),
% 287.82/36.60 inference(miniscoping,[status(esa)],[f70])).
% 287.82/36.60 fof(f72,plain,(
% 287.82/36.60 (![X,A]: (~member(X,product(A))|(![Y]: (~member(Y,A)|member(X,Y)))))&(![X,A]: (member(X,product(A))|(member(sk0_2(A,X),A)&~member(X,sk0_2(A,X)))))),
% 287.82/36.60 inference(skolemization,[status(esa)],[f71])).
% 287.82/36.60 fof(f73,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~member(X0,product(X1))|~member(X2,X1)|member(X0,X2))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f72])).
% 287.82/36.60 fof(f74,plain,(
% 287.82/36.60 ![X0,X1]: (member(X0,product(X1))|member(sk0_2(X1,X0),X1))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f72])).
% 287.82/36.60 fof(f75,plain,(
% 287.82/36.60 ![X0,X1]: (member(X0,product(X1))|~member(X0,sk0_2(X1,X0)))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f72])).
% 287.82/36.60 fof(f76,plain,(
% 287.82/36.60 ![A,B]: (disjoint(A,B)<=>(![X]: (~member(X,A)|~member(X,B))))),
% 287.82/36.60 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 287.82/36.60 fof(f77,plain,(
% 287.82/36.60 ![A,B]: ((~disjoint(A,B)|(![X]: (~member(X,A)|~member(X,B))))&(disjoint(A,B)|(?[X]: (member(X,A)&member(X,B)))))),
% 287.82/36.60 inference(NNF_transformation,[status(esa)],[f76])).
% 287.82/36.60 fof(f78,plain,(
% 287.82/36.60 (![A,B]: (~disjoint(A,B)|(![X]: (~member(X,A)|~member(X,B)))))&(![A,B]: (disjoint(A,B)|(?[X]: (member(X,A)&member(X,B)))))),
% 287.82/36.60 inference(miniscoping,[status(esa)],[f77])).
% 287.82/36.60 fof(f79,plain,(
% 287.82/36.60 (![A,B]: (~disjoint(A,B)|(![X]: (~member(X,A)|~member(X,B)))))&(![A,B]: (disjoint(A,B)|(member(sk0_3(B,A),A)&member(sk0_3(B,A),B))))),
% 287.82/36.60 inference(skolemization,[status(esa)],[f78])).
% 287.82/36.60 fof(f80,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~disjoint(X0,X1)|~member(X2,X0)|~member(X2,X1))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f79])).
% 287.82/36.60 fof(f81,plain,(
% 287.82/36.60 ![X0,X1]: (disjoint(X0,X1)|member(sk0_3(X1,X0),X0))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f79])).
% 287.82/36.60 fof(f82,plain,(
% 287.82/36.60 ![X0,X1]: (disjoint(X0,X1)|member(sk0_3(X1,X0),X1))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f79])).
% 287.82/36.60 fof(f83,plain,(
% 287.82/36.60 ![A,E]: (partition(A,E)<=>(((![X]: (~member(X,A)|subset(X,E)))&(![X]: (~member(X,E)|(?[Y]: (member(Y,A)&member(X,Y))))))&(![X,Y]: ((~member(X,A)|~member(Y,A))|((![Z]: (~member(Z,X)|~member(Z,Y)))|X=Y)))))),
% 287.82/36.60 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 287.82/36.60 fof(f84,plain,(
% 287.82/36.60 ![A,E]: (pd0_0(E,A)<=>((![X]: (~member(X,A)|subset(X,E)))&(![X]: (~member(X,E)|(?[Y]: (member(Y,A)&member(X,Y)))))))),
% 287.82/36.60 introduced(predicate_definition,[f83])).
% 287.82/36.60 fof(f85,plain,(
% 287.82/36.60 ![A,E]: (partition(A,E)<=>(pd0_0(E,A)&(![X,Y]: ((~member(X,A)|~member(Y,A))|((![Z]: (~member(Z,X)|~member(Z,Y)))|X=Y)))))),
% 287.82/36.60 inference(formula_renaming,[status(thm)],[f83,f84])).
% 287.82/36.60 fof(f86,plain,(
% 287.82/36.60 ![A,E]: ((~partition(A,E)|(pd0_0(E,A)&(![X,Y]: ((~member(X,A)|~member(Y,A))|((![Z]: (~member(Z,X)|~member(Z,Y)))|X=Y)))))&(partition(A,E)|(~pd0_0(E,A)|(?[X,Y]: ((member(X,A)&member(Y,A))&((?[Z]: (member(Z,X)&member(Z,Y)))&~X=Y))))))),
% 287.82/36.60 inference(NNF_transformation,[status(esa)],[f85])).
% 287.82/36.60 fof(f87,plain,(
% 287.82/36.60 (![A,E]: (~partition(A,E)|(pd0_0(E,A)&(![X,Y]: ((~member(X,A)|~member(Y,A))|((![Z]: (~member(Z,X)|~member(Z,Y)))|X=Y))))))&(![A,E]: (partition(A,E)|(~pd0_0(E,A)|(?[X,Y]: ((member(X,A)&member(Y,A))&((?[Z]: (member(Z,X)&member(Z,Y)))&~X=Y))))))),
% 287.82/36.60 inference(miniscoping,[status(esa)],[f86])).
% 287.82/36.60 fof(f88,plain,(
% 287.82/36.60 (![A,E]: (~partition(A,E)|(pd0_0(E,A)&(![X,Y]: ((~member(X,A)|~member(Y,A))|((![Z]: (~member(Z,X)|~member(Z,Y)))|X=Y))))))&(![A,E]: (partition(A,E)|(~pd0_0(E,A)|((member(sk0_4(E,A),A)&member(sk0_5(E,A),A))&((member(sk0_6(E,A),sk0_4(E,A))&member(sk0_6(E,A),sk0_5(E,A)))&~sk0_4(E,A)=sk0_5(E,A))))))),
% 287.82/36.60 inference(skolemization,[status(esa)],[f87])).
% 287.82/36.60 fof(f89,plain,(
% 287.82/36.60 ![X0,X1]: (~partition(X0,X1)|pd0_0(X1,X0))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f88])).
% 287.82/36.60 fof(f90,plain,(
% 287.82/36.60 ![X0,X1,X2,X3,X4]: (~partition(X0,X1)|~member(X2,X0)|~member(X3,X0)|~member(X4,X2)|~member(X4,X3)|X2=X3)),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f88])).
% 287.82/36.60 fof(f91,plain,(
% 287.82/36.60 ![X0,X1]: (partition(X0,X1)|~pd0_0(X1,X0)|member(sk0_4(X1,X0),X0))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f88])).
% 287.82/36.60 fof(f92,plain,(
% 287.82/36.60 ![X0,X1]: (partition(X0,X1)|~pd0_0(X1,X0)|member(sk0_5(X1,X0),X0))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f88])).
% 287.82/36.60 fof(f93,plain,(
% 287.82/36.60 ![X0,X1]: (partition(X0,X1)|~pd0_0(X1,X0)|member(sk0_6(X1,X0),sk0_4(X1,X0)))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f88])).
% 287.82/36.60 fof(f95,plain,(
% 287.82/36.60 ![X0,X1]: (partition(X0,X1)|~pd0_0(X1,X0)|~sk0_4(X1,X0)=sk0_5(X1,X0))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f88])).
% 287.82/36.60 fof(f110,plain,(
% 287.82/36.60 ![R,E,A,X]: ((~member(X,equivalence_class(A,E,R))|(member(X,E)&apply(R,A,X)))&(member(X,equivalence_class(A,E,R))|(~member(X,E)|~apply(R,A,X))))),
% 287.82/36.60 inference(NNF_transformation,[status(esa)],[f15])).
% 287.82/36.60 fof(f111,plain,(
% 287.82/36.60 (![R,E,A,X]: (~member(X,equivalence_class(A,E,R))|(member(X,E)&apply(R,A,X))))&(![R,E,A,X]: (member(X,equivalence_class(A,E,R))|(~member(X,E)|~apply(R,A,X))))),
% 287.82/36.60 inference(miniscoping,[status(esa)],[f110])).
% 287.82/36.60 fof(f112,plain,(
% 287.82/36.60 ![X0,X1,X2,X3]: (~member(X0,equivalence_class(X1,X2,X3))|member(X0,X2))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f111])).
% 287.82/36.60 fof(f129,plain,(
% 287.82/36.60 ![X]: ((~non_overlapping(X)|(?[U]: partition(X,U)))&(non_overlapping(X)|(![U]: ~partition(X,U))))),
% 287.82/36.60 inference(NNF_transformation,[status(esa)],[f17])).
% 287.82/36.60 fof(f130,plain,(
% 287.82/36.60 (![X]: (~non_overlapping(X)|(?[U]: partition(X,U))))&(![X]: (non_overlapping(X)|(![U]: ~partition(X,U))))),
% 287.82/36.60 inference(miniscoping,[status(esa)],[f129])).
% 287.82/36.60 fof(f131,plain,(
% 287.82/36.60 (![X]: (~non_overlapping(X)|partition(X,sk0_14(X))))&(![X]: (non_overlapping(X)|(![U]: ~partition(X,U))))),
% 287.82/36.60 inference(skolemization,[status(esa)],[f130])).
% 287.82/36.60 fof(f132,plain,(
% 287.82/36.60 ![X0]: (~non_overlapping(X0)|partition(X0,sk0_14(X0)))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f131])).
% 287.82/36.60 fof(f133,plain,(
% 287.82/36.60 ![X0,X1]: (non_overlapping(X0)|~partition(X0,X1))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f131])).
% 287.82/36.60 fof(f134,plain,(
% 287.82/36.60 ![X0,X1,X2]: (insertIntoMember(X0,X1,X2)=union(union(X1,singleton(X0)),difference(X2,singleton(X1))))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f18])).
% 287.82/36.60 fof(f135,plain,(
% 287.82/36.60 ![A,B]: ((~B=unaryUnion(A)|(![C]: ((~member(C,B)|(?[D]: (member(C,D)&member(D,A))))&(member(C,B)|(![D]: (~member(C,D)|~member(D,A)))))))&(B=unaryUnion(A)|(?[C]: ((~member(C,B)|(![D]: (~member(C,D)|~member(D,A))))&(member(C,B)|(?[D]: (member(C,D)&member(D,A))))))))),
% 287.82/36.60 inference(NNF_transformation,[status(esa)],[f19])).
% 287.82/36.60 fof(f136,plain,(
% 287.82/36.60 (![A,B]: (~B=unaryUnion(A)|((![C]: (~member(C,B)|(?[D]: (member(C,D)&member(D,A)))))&(![C]: (member(C,B)|(![D]: (~member(C,D)|~member(D,A))))))))&(![A,B]: (B=unaryUnion(A)|(?[C]: ((~member(C,B)|(![D]: (~member(C,D)|~member(D,A))))&(member(C,B)|(?[D]: (member(C,D)&member(D,A))))))))),
% 287.82/36.60 inference(miniscoping,[status(esa)],[f135])).
% 287.82/36.60 fof(f137,plain,(
% 287.82/36.60 (![A,B]: (~B=unaryUnion(A)|((![C]: (~member(C,B)|(member(C,sk0_15(C,B,A))&member(sk0_15(C,B,A),A))))&(![C]: (member(C,B)|(![D]: (~member(C,D)|~member(D,A))))))))&(![A,B]: (B=unaryUnion(A)|((~member(sk0_16(B,A),B)|(![D]: (~member(sk0_16(B,A),D)|~member(D,A))))&(member(sk0_16(B,A),B)|(member(sk0_16(B,A),sk0_17(B,A))&member(sk0_17(B,A),A))))))),
% 287.82/36.60 inference(skolemization,[status(esa)],[f136])).
% 287.82/36.60 fof(f139,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~X0=unaryUnion(X1)|~member(X2,X0)|member(sk0_15(X2,X0,X1),X1))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f137])).
% 287.82/36.60 fof(f140,plain,(
% 287.82/36.60 ![X0,X1,X2,X3]: (~X0=unaryUnion(X1)|member(X2,X0)|~member(X2,X3)|~member(X3,X1))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f137])).
% 287.82/36.60 fof(f141,plain,(
% 287.82/36.60 ![X0,X1,X2]: (X0=unaryUnion(X1)|~member(sk0_16(X0,X1),X0)|~member(sk0_16(X0,X1),X2)|~member(X2,X1))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f137])).
% 287.82/36.60 fof(f142,plain,(
% 287.82/36.60 ![X0,X1]: (X0=unaryUnion(X1)|member(sk0_16(X0,X1),X0)|member(sk0_16(X0,X1),sk0_17(X0,X1)))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f137])).
% 287.82/36.60 fof(f143,plain,(
% 287.82/36.60 ![X0,X1]: (X0=unaryUnion(X1)|member(sk0_16(X0,X1),X0)|member(sk0_17(X0,X1),X1))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f137])).
% 287.82/36.60 fof(f144,plain,(
% 287.82/36.60 (?[E]: (~E=empty_set&~partition(singleton(E),E)))),
% 287.82/36.60 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 287.82/36.60 fof(f145,plain,(
% 287.82/36.60 (~sk0_18=empty_set&~partition(singleton(sk0_18),sk0_18))),
% 287.82/36.60 inference(skolemization,[status(esa)],[f144])).
% 287.82/36.60 fof(f146,plain,(
% 287.82/36.60 ~sk0_18=empty_set),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f145])).
% 287.82/36.60 fof(f147,plain,(
% 287.82/36.60 ~partition(singleton(sk0_18),sk0_18)),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f145])).
% 287.82/36.60 fof(f148,plain,(
% 287.82/36.60 ![A,E]: ((~pd0_0(E,A)|((![X]: (~member(X,A)|subset(X,E)))&(![X]: (~member(X,E)|(?[Y]: (member(Y,A)&member(X,Y)))))))&(pd0_0(E,A)|((?[X]: (member(X,A)&~subset(X,E)))|(?[X]: (member(X,E)&(![Y]: (~member(Y,A)|~member(X,Y))))))))),
% 287.82/36.60 inference(NNF_transformation,[status(esa)],[f84])).
% 287.82/36.60 fof(f149,plain,(
% 287.82/36.60 (![A,E]: (~pd0_0(E,A)|((![X]: (~member(X,A)|subset(X,E)))&(![X]: (~member(X,E)|(?[Y]: (member(Y,A)&member(X,Y))))))))&(![A,E]: (pd0_0(E,A)|((?[X]: (member(X,A)&~subset(X,E)))|(?[X]: (member(X,E)&(![Y]: (~member(Y,A)|~member(X,Y))))))))),
% 287.82/36.60 inference(miniscoping,[status(esa)],[f148])).
% 287.82/36.60 fof(f150,plain,(
% 287.82/36.60 (![A,E]: (~pd0_0(E,A)|((![X]: (~member(X,A)|subset(X,E)))&(![X]: (~member(X,E)|(member(sk0_19(X,E,A),A)&member(X,sk0_19(X,E,A))))))))&(![A,E]: (pd0_0(E,A)|((member(sk0_20(E,A),A)&~subset(sk0_20(E,A),E))|(member(sk0_21(E,A),E)&(![Y]: (~member(Y,A)|~member(sk0_21(E,A),Y)))))))),
% 287.82/36.60 inference(skolemization,[status(esa)],[f149])).
% 287.82/36.60 fof(f151,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~pd0_0(X0,X1)|~member(X2,X1)|subset(X2,X0))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f150])).
% 287.82/36.60 fof(f152,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~pd0_0(X0,X1)|~member(X2,X0)|member(sk0_19(X2,X0,X1),X1))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f150])).
% 287.82/36.60 fof(f154,plain,(
% 287.82/36.60 ![X0,X1]: (pd0_0(X0,X1)|member(sk0_20(X0,X1),X1)|member(sk0_21(X0,X1),X0))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f150])).
% 287.82/36.60 fof(f155,plain,(
% 287.82/36.60 ![X0,X1,X2]: (pd0_0(X0,X1)|member(sk0_20(X0,X1),X1)|~member(X2,X1)|~member(sk0_21(X0,X1),X2))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f150])).
% 287.82/36.60 fof(f156,plain,(
% 287.82/36.60 ![X0,X1]: (pd0_0(X0,X1)|~subset(sk0_20(X0,X1),X0)|member(sk0_21(X0,X1),X0))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f150])).
% 287.82/36.60 fof(f157,plain,(
% 287.82/36.60 ![X0,X1,X2]: (pd0_0(X0,X1)|~subset(sk0_20(X0,X1),X0)|~member(X2,X1)|~member(sk0_21(X0,X1),X2))),
% 287.82/36.60 inference(cnf_transformation,[status(esa)],[f150])).
% 287.82/36.60 fof(f179,plain,(
% 287.82/36.60 ![X0]: (member(X0,singleton(X0)))),
% 287.82/36.60 inference(destructive_equality_resolution,[status(esa)],[f57])).
% 287.82/36.60 fof(f180,plain,(
% 287.82/36.60 ![X0,X1]: (member(X0,unordered_pair(X0,X1)))),
% 287.82/36.60 inference(destructive_equality_resolution,[status(esa)],[f61])).
% 287.82/36.60 fof(f181,plain,(
% 287.82/36.60 ![X0,X1]: (member(X0,unordered_pair(X1,X0)))),
% 287.82/36.60 inference(destructive_equality_resolution,[status(esa)],[f62])).
% 287.82/36.60 fof(f183,plain,(
% 287.82/36.60 ![X0,X1]: (~member(X0,unaryUnion(X1))|member(sk0_15(X0,unaryUnion(X1),X1),X1))),
% 287.82/36.60 inference(destructive_equality_resolution,[status(esa)],[f139])).
% 287.82/36.60 fof(f184,plain,(
% 287.82/36.60 ![X0,X1,X2]: (member(X0,unaryUnion(X1))|~member(X0,X2)|~member(X2,X1))),
% 287.82/36.60 inference(destructive_equality_resolution,[status(esa)],[f140])).
% 287.82/36.60 fof(f185,plain,(
% 287.82/36.60 ![X0,X1]: (subset(singleton(X0),X1)|sk0_0(X1,singleton(X0))=X0)),
% 287.82/36.60 inference(resolution,[status(thm)],[f27,f56])).
% 287.82/36.60 fof(f186,plain,(
% 287.82/36.60 ![X0]: (subset(empty_set,X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f27,f48])).
% 287.82/36.60 fof(f189,plain,(
% 287.82/36.60 ![X0]: (subset(X0,X0)|subset(X0,X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f28,f27])).
% 287.82/36.60 fof(f190,plain,(
% 287.82/36.60 ![X0]: (subset(X0,X0))),
% 287.82/36.60 inference(duplicate_literals_removal,[status(esa)],[f189])).
% 287.82/36.60 fof(f191,plain,(
% 287.82/36.60 ![X0,X1]: (subset(X0,power_set(X1))|~subset(sk0_0(power_set(X1),X0),X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f28,f37])).
% 287.82/36.60 fof(f192,plain,(
% 287.82/36.60 ![X0,X1,X2]: (member(sk0_0(X0,intersection(X1,X2)),X1)|subset(intersection(X1,X2),X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f40,f27])).
% 287.82/36.60 fof(f193,plain,(
% 287.82/36.60 ![X0,X1,X2]: (member(sk0_0(X0,intersection(X1,X2)),X2)|subset(intersection(X1,X2),X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f41,f27])).
% 287.82/36.60 fof(f194,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~member(sk0_0(union(X0,X1),X2),X0)|subset(X2,union(X0,X1)))),
% 287.82/36.60 inference(resolution,[status(thm)],[f46,f28])).
% 287.82/36.60 fof(f195,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~member(sk0_0(union(X0,X1),X2),X1)|subset(X2,union(X0,X1)))),
% 287.82/36.60 inference(resolution,[status(thm)],[f47,f28])).
% 287.82/36.60 fof(f196,plain,(
% 287.82/36.60 ![X0,X1,X2]: (member(sk0_0(X0,difference(X1,X2)),X1)|subset(difference(X1,X2),X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f51,f27])).
% 287.82/36.60 fof(f197,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~member(sk0_0(X0,difference(X1,X2)),X2)|subset(difference(X1,X2),X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f52,f27])).
% 287.82/36.60 fof(f199,plain,(
% 287.82/36.60 ![X0,X1,X2]: (member(sk0_0(X0,union(X1,X2)),X1)|member(sk0_0(X0,union(X1,X2)),X2)|subset(union(X1,X2),X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f45,f27])).
% 287.82/36.60 fof(f200,plain,(
% 287.82/36.60 ![X0,X1,X2]: (sk0_0(X0,singleton(X1))=X1|~member(X2,singleton(X1))|member(X2,X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f185,f26])).
% 287.82/36.60 fof(f201,plain,(
% 287.82/36.60 ![X0,X1,X2]: (sk0_0(X0,singleton(X1))=X1|member(sk0_0(X2,singleton(X1)),X0)|subset(singleton(X1),X2))),
% 287.82/36.60 inference(resolution,[status(thm)],[f200,f27])).
% 287.82/36.60 fof(f202,plain,(
% 287.82/36.60 ![X0,X1]: (sk0_0(X0,singleton(X1))=X1|member(X1,X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f200,f179])).
% 287.82/36.60 fof(f205,plain,(
% 287.82/36.60 ![X0,X1,X2]: (sk0_0(difference(X0,X1),singleton(X2))=X2|~member(X2,X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f202,f52])).
% 287.82/36.60 fof(f207,plain,(
% 287.82/36.60 ![X0,X1,X2]: (sk0_0(intersection(X0,X1),singleton(X2))=X2|member(X2,X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f202,f41])).
% 287.82/36.60 fof(f208,plain,(
% 287.82/36.60 ![X0,X1,X2]: (sk0_0(intersection(X0,X1),singleton(X2))=X2|member(X2,X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f202,f40])).
% 287.82/36.60 fof(f209,plain,(
% 287.82/36.60 ![X0,X1]: (sk0_0(power_set(X0),singleton(X1))=X1|subset(X1,X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f202,f36])).
% 287.82/36.60 fof(f220,plain,(
% 287.82/36.60 ![X0,X1,X2,X3]: (sk0_0(difference(X0,X1),singleton(X2))=X2|subset(singleton(X2),X3)|~member(sk0_0(X3,singleton(X2)),X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f201,f52])).
% 287.82/36.60 fof(f230,plain,(
% 287.82/36.60 ![X0,X1,X2]: (sk0_0(power_set(X0),singleton(X1))=X1|~member(X2,X1)|member(X2,X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f209,f26])).
% 287.82/36.60 fof(f236,plain,(
% 287.82/36.60 ![X0,X1,X2]: (sk0_0(difference(X0,power_set(X1)),singleton(X2))=X2|~subset(X2,X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f205,f37])).
% 287.82/36.60 fof(f270,plain,(
% 287.82/36.60 ![X0,X1,X2]: (sk0_0(intersection(X0,power_set(X1)),singleton(X2))=X2|subset(X2,X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f207,f36])).
% 287.82/36.60 fof(f272,plain,(
% 287.82/36.60 ![X0,X1,X2]: (sk0_0(intersection(X0,singleton(X1)),singleton(X2))=X2|X2=X1)),
% 287.82/36.60 inference(resolution,[status(thm)],[f207,f56])).
% 287.82/36.60 fof(f284,plain,(
% 287.82/36.60 ![X0,X1,X2]: (sk0_0(intersection(power_set(X0),X1),singleton(X2))=X2|subset(X2,X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f208,f36])).
% 287.82/36.60 fof(f367,plain,(
% 287.82/36.60 ![X0,X1]: (sk0_0(difference(X0,power_set(X1)),singleton(empty_set))=empty_set)),
% 287.82/36.60 inference(resolution,[status(thm)],[f236,f186])).
% 287.82/36.60 fof(f374,plain,(
% 287.82/36.60 spl0_0 <=> empty_set=empty_set),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f377,plain,(
% 287.82/36.60 spl0_1 <=> empty_set=X0),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f378,plain,(
% 287.82/36.60 ![X0]: (empty_set=X0|~spl0_1)),
% 287.82/36.60 inference(component_clause,[status(thm)],[f377])).
% 287.82/36.60 fof(f384,plain,(
% 287.82/36.60 spl0_2 <=> sk0_0(X0,singleton(empty_set))=empty_set|member(empty_set,X0)),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f387,plain,(
% 287.82/36.60 spl0_3 <=> subset(singleton(empty_set),difference(X1,power_set(X2)))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f388,plain,(
% 287.82/36.60 ![X0,X1]: (subset(singleton(empty_set),difference(X0,power_set(X1)))|~spl0_3)),
% 287.82/36.60 inference(component_clause,[status(thm)],[f387])).
% 287.82/36.60 fof(f390,plain,(
% 287.82/36.60 ![X0,X1,X2]: (sk0_0(X0,singleton(empty_set))=empty_set|member(empty_set,X0)|subset(singleton(empty_set),difference(X1,power_set(X2))))),
% 287.82/36.60 inference(paramodulation,[status(thm)],[f367,f201])).
% 287.82/36.60 fof(f391,plain,(
% 287.82/36.60 spl0_2|spl0_3),
% 287.82/36.60 inference(split_clause,[status(thm)],[f390,f384,f387])).
% 287.82/36.60 fof(f393,plain,(
% 287.82/36.60 spl0_4 <=> member(empty_set,singleton(empty_set))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f396,plain,(
% 287.82/36.60 ![X0,X1]: (subset(singleton(empty_set),difference(X0,power_set(X1)))|member(empty_set,singleton(empty_set)))),
% 287.82/36.60 inference(paramodulation,[status(thm)],[f367,f27])).
% 287.82/36.60 fof(f397,plain,(
% 287.82/36.60 spl0_3|spl0_4),
% 287.82/36.60 inference(split_clause,[status(thm)],[f396,f387,f393])).
% 287.82/36.60 fof(f399,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~member(X0,singleton(empty_set))|member(X0,difference(X1,power_set(X2)))|~spl0_3)),
% 287.82/36.60 inference(resolution,[status(thm)],[f388,f26])).
% 287.82/36.60 fof(f401,plain,(
% 287.82/36.60 ![X0,X1]: (~member(X0,singleton(empty_set))|~member(X0,power_set(X1))|~spl0_3)),
% 287.82/36.60 inference(resolution,[status(thm)],[f399,f52])).
% 287.82/36.60 fof(f402,plain,(
% 287.82/36.60 ![X0,X1]: (~member(X0,singleton(empty_set))|member(X0,X1)|~spl0_3)),
% 287.82/36.60 inference(resolution,[status(thm)],[f399,f51])).
% 287.82/36.60 fof(f417,plain,(
% 287.82/36.60 spl0_5 <=> singleton(empty_set)=singleton(empty_set)),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f420,plain,(
% 287.82/36.60 spl0_6 <=> singleton(empty_set)=X0),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f421,plain,(
% 287.82/36.60 ![X0]: (singleton(empty_set)=X0|~spl0_6)),
% 287.82/36.60 inference(component_clause,[status(thm)],[f420])).
% 287.82/36.60 fof(f436,plain,(
% 287.82/36.60 spl0_9 <=> member(singleton(empty_set),singleton(singleton(empty_set)))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f457,plain,(
% 287.82/36.60 spl0_10 <=> member(singleton(empty_set),singleton(empty_set))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f459,plain,(
% 287.82/36.60 ~member(singleton(empty_set),singleton(empty_set))|spl0_10),
% 287.82/36.60 inference(component_clause,[status(thm)],[f457])).
% 287.82/36.60 fof(f465,plain,(
% 287.82/36.60 ![X0]: (~member(X0,singleton(empty_set))|~spl0_3)),
% 287.82/36.60 inference(forward_subsumption_resolution,[status(thm)],[f401,f402])).
% 287.82/36.60 fof(f468,plain,(
% 287.82/36.60 $false|~spl0_3),
% 287.82/36.60 inference(resolution,[status(thm)],[f465,f179])).
% 287.82/36.60 fof(f469,plain,(
% 287.82/36.60 ~spl0_3),
% 287.82/36.60 inference(contradiction_clause,[status(thm)],[f468])).
% 287.82/36.60 fof(f488,plain,(
% 287.82/36.60 ![X0,X1]: (sk0_0(power_set(empty_set),singleton(X0))=X0|~member(X1,X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f230,f48])).
% 287.82/36.60 fof(f502,plain,(
% 287.82/36.60 ![X0,X1]: (sk0_0(power_set(empty_set),singleton(X0))=X0|subset(X0,X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f488,f27])).
% 287.82/36.60 fof(f745,plain,(
% 287.82/36.60 spl0_11 <=> sk0_0(difference(X0,X1),singleton(empty_set))=empty_set|~member(empty_set,X1)),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f748,plain,(
% 287.82/36.60 ![X0,X1,X2,X3]: (sk0_0(difference(X0,X1),singleton(empty_set))=empty_set|subset(singleton(empty_set),difference(X2,power_set(X3)))|~member(empty_set,X1))),
% 287.82/36.60 inference(paramodulation,[status(thm)],[f367,f220])).
% 287.82/36.60 fof(f749,plain,(
% 287.82/36.60 spl0_11|spl0_3),
% 287.82/36.60 inference(split_clause,[status(thm)],[f748,f745,f387])).
% 287.82/36.60 fof(f777,plain,(
% 287.82/36.60 ![X0,X1,X2]: (disjoint(difference(X0,X1),X2)|member(sk0_3(X2,difference(X0,X1)),X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f81,f51])).
% 287.82/36.60 fof(f782,plain,(
% 287.82/36.60 ![X0,X1]: (disjoint(singleton(X0),X1)|sk0_3(X1,singleton(X0))=X0)),
% 287.82/36.60 inference(resolution,[status(thm)],[f81,f56])).
% 287.82/36.60 fof(f790,plain,(
% 287.82/36.60 ![X0,X1,X2]: (disjoint(X0,difference(X1,X2))|~member(sk0_3(difference(X1,X2),X0),X2))),
% 287.82/36.60 inference(resolution,[status(thm)],[f82,f52])).
% 287.82/36.60 fof(f796,plain,(
% 287.82/36.60 ![X0,X1]: (disjoint(X0,singleton(X1))|sk0_3(singleton(X1),X0)=X1)),
% 287.82/36.60 inference(resolution,[status(thm)],[f82,f56])).
% 287.82/36.60 fof(f811,plain,(
% 287.82/36.60 ![X0,X1,X2,X3]: (member(sk0_0(X0,equivalence_class(X1,X2,X3)),X2)|subset(equivalence_class(X1,X2,X3),X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f112,f27])).
% 287.82/36.60 fof(f824,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~member(X0,X1)|subset(X0,X2)|~partition(X1,X2))),
% 287.82/36.60 inference(resolution,[status(thm)],[f151,f89])).
% 287.82/36.60 fof(f829,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~member(X0,sum(difference(X1,X2)))|member(sk0_1(difference(X1,X2),X0),X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f66,f51])).
% 287.82/36.60 fof(f834,plain,(
% 287.82/36.60 ![X0,X1]: (~member(X0,sum(singleton(X1)))|sk0_1(singleton(X1),X0)=X1)),
% 287.82/36.60 inference(resolution,[status(thm)],[f66,f56])).
% 287.82/36.60 fof(f835,plain,(
% 287.82/36.60 ![X0]: (~member(X0,sum(empty_set)))),
% 287.82/36.60 inference(resolution,[status(thm)],[f66,f48])).
% 287.82/36.60 fof(f898,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~member(X0,X1)|~member(sk0_0(sum(X1),X2),X0)|subset(X2,sum(X1)))),
% 287.82/36.60 inference(resolution,[status(thm)],[f68,f28])).
% 287.82/36.60 fof(f939,plain,(
% 287.82/36.60 ![X0,X1,X2]: (sk0_3(X0,singleton(X1))=X1|~member(X2,singleton(X1))|~member(X2,X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f782,f80])).
% 287.82/36.60 fof(f952,plain,(
% 287.82/36.60 ![X0,X1,X2]: (sk0_3(singleton(X0),X1)=X0|~member(X2,X1)|~member(X2,singleton(X0)))),
% 287.82/36.60 inference(resolution,[status(thm)],[f796,f80])).
% 287.82/36.60 fof(f1009,plain,(
% 287.82/36.60 ![X0,X1,X2]: (sk0_1(singleton(X0),X1)=X0|~member(X2,singleton(X0))|~member(X1,X2))),
% 287.82/36.60 inference(resolution,[status(thm)],[f834,f68])).
% 287.82/36.60 fof(f1023,plain,(
% 287.82/36.60 ![X0,X1,X2]: (sk0_3(X0,singleton(X1))=X1|~member(sk0_3(singleton(X1),X2),X0)|disjoint(X2,singleton(X1)))),
% 287.82/36.60 inference(resolution,[status(thm)],[f939,f82])).
% 287.82/36.60 fof(f1031,plain,(
% 287.82/36.60 ![X0,X1]: (sk0_3(X0,singleton(X1))=X1|~member(X1,X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f939,f179])).
% 287.82/36.60 fof(f1100,plain,(
% 287.82/36.60 spl0_12 <=> disjoint(singleton(empty_set),power_set(X0))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f1101,plain,(
% 287.82/36.60 ![X0]: (disjoint(singleton(empty_set),power_set(X0))|~spl0_12)),
% 287.82/36.60 inference(component_clause,[status(thm)],[f1100])).
% 287.82/36.60 fof(f1146,plain,(
% 287.82/36.60 ![X0,X1]: (sk0_3(singleton(X0),X1)=X0|~member(X0,X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f952,f179])).
% 287.82/36.60 fof(f1197,plain,(
% 287.82/36.60 ![X0,X1]: (sk0_3(singleton(X0),power_set(X1))=X0|~subset(X0,X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f1146,f37])).
% 287.82/36.60 fof(f1222,plain,(
% 287.82/36.60 ![X0]: (sk0_3(singleton(empty_set),power_set(X0))=empty_set)),
% 287.82/36.60 inference(resolution,[status(thm)],[f1197,f186])).
% 287.82/36.60 fof(f1233,plain,(
% 287.82/36.60 spl0_13 <=> disjoint(power_set(X0),singleton(empty_set))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f1234,plain,(
% 287.82/36.60 ![X0]: (disjoint(power_set(X0),singleton(empty_set))|~spl0_13)),
% 287.82/36.60 inference(component_clause,[status(thm)],[f1233])).
% 287.82/36.60 fof(f1335,plain,(
% 287.82/36.60 ![X0,X1]: (sk0_1(singleton(X0),X1)=X0|~member(X1,X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f1009,f179])).
% 287.82/36.60 fof(f1386,plain,(
% 287.82/36.60 ![X0]: (member(X0,product(sum(empty_set))))),
% 287.82/36.60 inference(resolution,[status(thm)],[f74,f835])).
% 287.82/36.60 fof(f1391,plain,(
% 287.82/36.60 ![X0,X1,X2]: (member(X0,product(difference(X1,X2)))|member(sk0_2(difference(X1,X2),X0),X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f74,f51])).
% 287.82/36.60 fof(f1394,plain,(
% 287.82/36.60 ![X0,X1]: (member(X0,product(power_set(X1)))|subset(sk0_2(power_set(X1),X0),X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f74,f36])).
% 287.82/36.60 fof(f1399,plain,(
% 287.82/36.60 ![X0,X1]: (member(X0,product(singleton(X1)))|sk0_2(singleton(X1),X0)=X1)),
% 287.82/36.60 inference(resolution,[status(thm)],[f74,f56])).
% 287.82/36.60 fof(f1400,plain,(
% 287.82/36.60 ![X0]: (member(X0,product(empty_set)))),
% 287.82/36.60 inference(resolution,[status(thm)],[f74,f48])).
% 287.82/36.60 fof(f1411,plain,(
% 287.82/36.60 ![X0]: (subset(X0,product(empty_set)))),
% 287.82/36.60 inference(resolution,[status(thm)],[f1400,f28])).
% 287.82/36.60 fof(f1412,plain,(
% 287.82/36.60 ![X0]: (sk0_1(singleton(product(empty_set)),X0)=product(empty_set))),
% 287.82/36.60 inference(resolution,[status(thm)],[f1400,f1335])).
% 287.82/36.60 fof(f1416,plain,(
% 287.82/36.60 ![X0]: (sk0_3(product(empty_set),singleton(X0))=X0)),
% 287.82/36.60 inference(resolution,[status(thm)],[f1400,f1031])).
% 287.82/36.60 fof(f1467,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~member(X0,X1)|member(sk0_2(product(X1),X2),X0)|member(X2,product(product(X1))))),
% 287.82/36.60 inference(resolution,[status(thm)],[f73,f74])).
% 287.82/36.60 fof(f1468,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~member(X0,X1)|member(sk0_1(product(X1),X2),X0)|~member(X2,sum(product(X1))))),
% 287.82/36.60 inference(resolution,[status(thm)],[f73,f66])).
% 287.82/36.60 fof(f1476,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~member(X0,X1)|member(sk0_0(X2,product(X1)),X0)|subset(product(X1),X2))),
% 287.82/36.60 inference(resolution,[status(thm)],[f73,f27])).
% 287.82/36.60 fof(f1526,plain,(
% 287.82/36.60 spl0_15 <=> ~member(X0,sum(singleton(product(empty_set))))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f1527,plain,(
% 287.82/36.60 ![X0]: (~member(X0,sum(singleton(product(empty_set))))|~spl0_15)),
% 287.82/36.60 inference(component_clause,[status(thm)],[f1526])).
% 287.82/36.60 fof(f1529,plain,(
% 287.82/36.60 spl0_16 <=> member(product(empty_set),singleton(product(empty_set)))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f1532,plain,(
% 287.82/36.60 ![X0]: (~member(X0,sum(singleton(product(empty_set))))|member(product(empty_set),singleton(product(empty_set))))),
% 287.82/36.60 inference(paramodulation,[status(thm)],[f1412,f66])).
% 287.82/36.60 fof(f1533,plain,(
% 287.82/36.60 spl0_15|spl0_16),
% 287.82/36.60 inference(split_clause,[status(thm)],[f1532,f1526,f1529])).
% 287.82/36.60 fof(f1544,plain,(
% 287.82/36.60 ![X0,X1]: (~member(X0,singleton(product(empty_set)))|~member(X1,X0)|~spl0_15)),
% 287.82/36.60 inference(resolution,[status(thm)],[f1527,f68])).
% 287.82/36.60 fof(f1609,plain,(
% 287.82/36.60 ![X0]: (~member(X0,product(empty_set))|~spl0_15)),
% 287.82/36.60 inference(resolution,[status(thm)],[f1544,f179])).
% 287.82/36.60 fof(f1610,plain,(
% 287.82/36.60 $false|~spl0_15),
% 287.82/36.60 inference(forward_subsumption_resolution,[status(thm)],[f1609,f1400])).
% 287.82/36.60 fof(f1611,plain,(
% 287.82/36.60 ~spl0_15),
% 287.82/36.60 inference(contradiction_clause,[status(thm)],[f1610])).
% 287.82/36.60 fof(f1631,plain,(
% 287.82/36.60 ![X0,X1,X2]: (sk0_2(singleton(X0),X1)=X0|~member(X2,singleton(X0))|member(X1,X2))),
% 287.82/36.60 inference(resolution,[status(thm)],[f1399,f73])).
% 287.82/36.60 fof(f1774,plain,(
% 287.82/36.60 ![X0,X1]: (sk0_2(singleton(X0),X1)=X0|member(X1,X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f1631,f179])).
% 287.82/36.60 fof(f1849,plain,(
% 287.82/36.60 ![X0]: (sk0_2(singleton(sum(empty_set)),X0)=sum(empty_set))),
% 287.82/36.60 inference(resolution,[status(thm)],[f1774,f835])).
% 287.82/36.60 fof(f1864,plain,(
% 287.82/36.60 ![X0]: (sk0_2(singleton(empty_set),X0)=empty_set)),
% 287.82/36.60 inference(resolution,[status(thm)],[f1774,f48])).
% 287.82/36.60 fof(f1877,plain,(
% 287.82/36.60 spl0_17 <=> member(X0,product(singleton(empty_set)))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f1878,plain,(
% 287.82/36.60 ![X0]: (member(X0,product(singleton(empty_set)))|~spl0_17)),
% 287.82/36.60 inference(component_clause,[status(thm)],[f1877])).
% 287.82/36.60 fof(f1883,plain,(
% 287.82/36.60 spl0_18 <=> member(X0,product(singleton(sum(empty_set))))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f1884,plain,(
% 287.82/36.60 ![X0]: (member(X0,product(singleton(sum(empty_set))))|~spl0_18)),
% 287.82/36.60 inference(component_clause,[status(thm)],[f1883])).
% 287.82/36.60 fof(f1886,plain,(
% 287.82/36.60 spl0_19 <=> member(sum(empty_set),singleton(sum(empty_set)))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f1889,plain,(
% 287.82/36.60 ![X0]: (member(X0,product(singleton(sum(empty_set))))|member(sum(empty_set),singleton(sum(empty_set))))),
% 287.82/36.60 inference(paramodulation,[status(thm)],[f1849,f74])).
% 287.82/36.60 fof(f1890,plain,(
% 287.82/36.60 spl0_18|spl0_19),
% 287.82/36.60 inference(split_clause,[status(thm)],[f1889,f1883,f1886])).
% 287.82/36.60 fof(f1893,plain,(
% 287.82/36.60 spl0_20 <=> product(empty_set)=product(empty_set)),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f2151,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~member(sk0_0(unaryUnion(X0),X1),X2)|~member(X2,X0)|subset(X1,unaryUnion(X0)))),
% 287.82/36.60 inference(resolution,[status(thm)],[f184,f28])).
% 287.82/36.60 fof(f2184,plain,(
% 287.82/36.60 ![X0]: (subset(X0,power_set(product(empty_set))))),
% 287.82/36.60 inference(resolution,[status(thm)],[f191,f1411])).
% 287.82/36.60 fof(f2195,plain,(
% 287.82/36.60 ![X0]: (subset(X0,power_set(power_set(product(empty_set)))))),
% 287.82/36.60 inference(resolution,[status(thm)],[f2184,f191])).
% 287.82/36.60 fof(f2199,plain,(
% 287.82/36.60 ![X0,X1]: (~member(X0,X1)|member(X0,power_set(product(empty_set))))),
% 287.82/36.60 inference(resolution,[status(thm)],[f2184,f26])).
% 287.82/36.60 fof(f2202,plain,(
% 287.82/36.60 ![X0,X1]: (~member(X0,singleton(sum(empty_set)))|member(X1,X0)|~spl0_18)),
% 287.82/36.60 inference(resolution,[status(thm)],[f1884,f73])).
% 287.82/36.60 fof(f2232,plain,(
% 287.82/36.60 ![X0]: (member(X0,sum(empty_set))|~spl0_18)),
% 287.82/36.60 inference(resolution,[status(thm)],[f2202,f179])).
% 287.82/36.60 fof(f2233,plain,(
% 287.82/36.60 $false|~spl0_18),
% 287.82/36.60 inference(forward_subsumption_resolution,[status(thm)],[f2232,f835])).
% 287.82/36.60 fof(f2234,plain,(
% 287.82/36.60 ~spl0_18),
% 287.82/36.60 inference(contradiction_clause,[status(thm)],[f2233])).
% 287.82/36.60 fof(f2283,plain,(
% 287.82/36.60 spl0_26 <=> sk0_3(X0,singleton(empty_set))=empty_set|~member(empty_set,X0)),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f2286,plain,(
% 287.82/36.60 ![X0,X1]: (sk0_3(X0,singleton(empty_set))=empty_set|~member(empty_set,X0)|disjoint(power_set(X1),singleton(empty_set)))),
% 287.82/36.60 inference(paramodulation,[status(thm)],[f1222,f1023])).
% 287.82/36.60 fof(f2287,plain,(
% 287.82/36.60 spl0_26|spl0_13),
% 287.82/36.60 inference(split_clause,[status(thm)],[f2286,f2283,f1233])).
% 287.82/36.60 fof(f2309,plain,(
% 287.82/36.60 ![X0,X1]: (~member(X0,power_set(X1))|~member(X0,singleton(empty_set))|~spl0_13)),
% 287.82/36.60 inference(resolution,[status(thm)],[f1234,f80])).
% 287.82/36.60 fof(f2323,plain,(
% 287.82/36.60 ![X0]: (~member(empty_set,power_set(X0))|~spl0_13)),
% 287.82/36.60 inference(resolution,[status(thm)],[f2309,f179])).
% 287.82/36.60 fof(f2338,plain,(
% 287.82/36.60 ![X0]: (~subset(empty_set,X0)|~spl0_13)),
% 287.82/36.60 inference(resolution,[status(thm)],[f2323,f37])).
% 287.82/36.60 fof(f2339,plain,(
% 287.82/36.60 $false|~spl0_13),
% 287.82/36.60 inference(forward_subsumption_resolution,[status(thm)],[f2338,f186])).
% 287.82/36.60 fof(f2340,plain,(
% 287.82/36.60 ~spl0_13),
% 287.82/36.60 inference(contradiction_clause,[status(thm)],[f2339])).
% 287.82/36.60 fof(f2359,plain,(
% 287.82/36.60 spl0_27 <=> ~member(X0,X1)),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f2360,plain,(
% 287.82/36.60 ![X0,X1]: (~member(X0,X1)|~spl0_27)),
% 287.82/36.60 inference(component_clause,[status(thm)],[f2359])).
% 287.82/36.60 fof(f2362,plain,(
% 287.82/36.60 spl0_28 <=> sk0_0(power_set(empty_set),singleton(power_set(product(empty_set))))=power_set(product(empty_set))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f2363,plain,(
% 287.82/36.60 sk0_0(power_set(empty_set),singleton(power_set(product(empty_set))))=power_set(product(empty_set))|~spl0_28),
% 287.82/36.60 inference(component_clause,[status(thm)],[f2362])).
% 287.82/36.60 fof(f2365,plain,(
% 287.82/36.60 ![X0,X1]: (~member(X0,X1)|sk0_0(power_set(empty_set),singleton(power_set(product(empty_set))))=power_set(product(empty_set)))),
% 287.82/36.60 inference(resolution,[status(thm)],[f2199,f488])).
% 287.82/36.60 fof(f2366,plain,(
% 287.82/36.60 spl0_27|spl0_28),
% 287.82/36.60 inference(split_clause,[status(thm)],[f2365,f2359,f2362])).
% 287.82/36.60 fof(f2377,plain,(
% 287.82/36.60 ![X0,X1]: (member(sk0_2(X0,X1),X0)|~spl0_27)),
% 287.82/36.60 inference(backward_subsumption_resolution,[status(thm)],[f74,f2360])).
% 287.82/36.60 fof(f2378,plain,(
% 287.82/36.60 $false|~spl0_27),
% 287.82/36.60 inference(forward_subsumption_resolution,[status(thm)],[f2377,f2360])).
% 287.82/36.60 fof(f2379,plain,(
% 287.82/36.60 ~spl0_27),
% 287.82/36.60 inference(contradiction_clause,[status(thm)],[f2378])).
% 287.82/36.60 fof(f2380,plain,(
% 287.82/36.60 spl0_29 <=> subset(singleton(power_set(product(empty_set))),power_set(empty_set))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f2381,plain,(
% 287.82/36.60 subset(singleton(power_set(product(empty_set))),power_set(empty_set))|~spl0_29),
% 287.82/36.60 inference(component_clause,[status(thm)],[f2380])).
% 287.82/36.60 fof(f2382,plain,(
% 287.82/36.60 ~subset(singleton(power_set(product(empty_set))),power_set(empty_set))|spl0_29),
% 287.82/36.60 inference(component_clause,[status(thm)],[f2380])).
% 287.82/36.60 fof(f2383,plain,(
% 287.82/36.60 spl0_30 <=> subset(power_set(product(empty_set)),empty_set)),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f2385,plain,(
% 287.82/36.60 ~subset(power_set(product(empty_set)),empty_set)|spl0_30),
% 287.82/36.60 inference(component_clause,[status(thm)],[f2383])).
% 287.82/36.60 fof(f2386,plain,(
% 287.82/36.60 subset(singleton(power_set(product(empty_set))),power_set(empty_set))|~subset(power_set(product(empty_set)),empty_set)|~spl0_28),
% 287.82/36.60 inference(paramodulation,[status(thm)],[f2363,f191])).
% 287.82/36.60 fof(f2387,plain,(
% 287.82/36.60 spl0_29|~spl0_30|~spl0_28),
% 287.82/36.60 inference(split_clause,[status(thm)],[f2386,f2380,f2383,f2362])).
% 287.82/36.60 fof(f2391,plain,(
% 287.82/36.60 ![X0]: (sk0_0(intersection(power_set(empty_set),X0),singleton(power_set(product(empty_set))))=power_set(product(empty_set))|spl0_30)),
% 287.82/36.60 inference(resolution,[status(thm)],[f2385,f284])).
% 287.82/36.60 fof(f2392,plain,(
% 287.82/36.60 ![X0]: (sk0_0(intersection(X0,power_set(empty_set)),singleton(power_set(product(empty_set))))=power_set(product(empty_set))|spl0_30)),
% 287.82/36.60 inference(resolution,[status(thm)],[f2385,f270])).
% 287.82/36.60 fof(f2396,plain,(
% 287.82/36.60 spl0_31 <=> power_set(product(empty_set))=power_set(product(empty_set))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f2399,plain,(
% 287.82/36.60 spl0_32 <=> power_set(product(empty_set))=X0),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f2400,plain,(
% 287.82/36.60 ![X0]: (power_set(product(empty_set))=X0|~spl0_32)),
% 287.82/36.60 inference(component_clause,[status(thm)],[f2399])).
% 287.82/36.60 fof(f2402,plain,(
% 287.82/36.60 ![X0]: (power_set(product(empty_set))=power_set(product(empty_set))|power_set(product(empty_set))=X0|spl0_30)),
% 287.82/36.60 inference(paramodulation,[status(thm)],[f272,f2391])).
% 287.82/36.60 fof(f2403,plain,(
% 287.82/36.60 spl0_31|spl0_32|spl0_30),
% 287.82/36.60 inference(split_clause,[status(thm)],[f2402,f2396,f2399,f2383])).
% 287.82/36.60 fof(f2406,plain,(
% 287.82/36.60 ![X0,X1]: (X0=X1|~spl0_32)),
% 287.82/36.60 inference(paramodulation,[status(thm)],[f2400,f2400])).
% 287.82/36.60 fof(f2427,plain,(
% 287.82/36.60 $false|~spl0_32),
% 287.82/36.60 inference(backward_subsumption_resolution,[status(thm)],[f146,f2406])).
% 287.82/36.60 fof(f2428,plain,(
% 287.82/36.60 ~spl0_32),
% 287.82/36.60 inference(contradiction_clause,[status(thm)],[f2427])).
% 287.82/36.60 fof(f2471,plain,(
% 287.82/36.60 spl0_33 <=> member(power_set(product(empty_set)),power_set(empty_set))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f2473,plain,(
% 287.82/36.60 ~member(power_set(product(empty_set)),power_set(empty_set))|spl0_33),
% 287.82/36.60 inference(component_clause,[status(thm)],[f2471])).
% 287.82/36.60 fof(f2474,plain,(
% 287.82/36.60 subset(singleton(power_set(product(empty_set))),power_set(empty_set))|~member(power_set(product(empty_set)),power_set(empty_set))|~spl0_28),
% 287.82/36.60 inference(paramodulation,[status(thm)],[f2363,f28])).
% 287.82/36.60 fof(f2475,plain,(
% 287.82/36.60 spl0_29|~spl0_33|~spl0_28),
% 287.82/36.60 inference(split_clause,[status(thm)],[f2474,f2380,f2471,f2362])).
% 287.82/36.60 fof(f2497,plain,(
% 287.82/36.60 spl0_35 <=> member(singleton(power_set(product(empty_set))),power_set(power_set(empty_set)))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f2498,plain,(
% 287.82/36.60 member(singleton(power_set(product(empty_set))),power_set(power_set(empty_set)))|~spl0_35),
% 287.82/36.60 inference(component_clause,[status(thm)],[f2497])).
% 287.82/36.60 fof(f2499,plain,(
% 287.82/36.60 ~member(singleton(power_set(product(empty_set))),power_set(power_set(empty_set)))|spl0_35),
% 287.82/36.60 inference(component_clause,[status(thm)],[f2497])).
% 287.82/36.60 fof(f2506,plain,(
% 287.82/36.60 spl0_37 <=> member(singleton(power_set(product(empty_set))),singleton(singleton(power_set(product(empty_set)))))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f2535,plain,(
% 287.82/36.60 ![X0,X1,X2]: (sk0_0(intersection(X0,X1),singleton(X2))=X2|member(X2,X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f202,f40])).
% 287.82/36.60 fof(f2536,plain,(
% 287.82/36.60 ![X0,X1,X2]: (sk0_0(intersection(X0,X1),singleton(X2))=X2|member(X2,X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f202,f41])).
% 287.82/36.60 fof(f2538,plain,(
% 287.82/36.60 ![X0,X1,X2]: (sk0_0(difference(X0,X1),singleton(X2))=X2|member(X2,X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f202,f51])).
% 287.82/36.60 fof(f2743,plain,(
% 287.82/36.60 spl0_39 <=> member(power_set(product(empty_set)),singleton(power_set(product(empty_set))))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f2764,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~subset(X0,X1)|member(sk0_0(X2,X0),X1)|subset(X0,X2))),
% 287.82/36.60 inference(resolution,[status(thm)],[f26,f27])).
% 287.82/36.60 fof(f2765,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~subset(X0,X1)|member(sk0_3(X2,X0),X1)|disjoint(X0,X2))),
% 287.82/36.60 inference(resolution,[status(thm)],[f26,f81])).
% 287.82/36.60 fof(f2766,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~subset(X0,X1)|member(sk0_3(X0,X2),X1)|disjoint(X2,X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f26,f82])).
% 287.82/36.60 fof(f2767,plain,(
% 287.82/36.60 ![X0,X1,X2,X3]: (~subset(union(X0,X1),X2)|member(X3,X2)|~member(X3,X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f26,f46])).
% 287.82/36.60 fof(f2770,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~subset(power_set(X0),X1)|member(X2,X1)|~subset(X2,X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f26,f37])).
% 287.82/36.60 fof(f2771,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~subset(unordered_pair(X0,X1),X2)|member(X0,X2))),
% 287.82/36.60 inference(resolution,[status(thm)],[f26,f180])).
% 287.82/36.60 fof(f2772,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~subset(unordered_pair(X0,X1),X2)|member(X1,X2))),
% 287.82/36.60 inference(resolution,[status(thm)],[f26,f181])).
% 287.82/36.60 fof(f2777,plain,(
% 287.82/36.60 ![X0,X1]: (~subset(product(sum(empty_set)),X0)|member(X1,X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f26,f1386])).
% 287.82/36.60 fof(f2778,plain,(
% 287.82/36.60 ![X0,X1]: (~subset(product(empty_set),X0)|member(X1,X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f26,f1400])).
% 287.82/36.60 fof(f2779,plain,(
% 287.82/36.60 ![X0,X1]: (~subset(singleton(X0),X1)|member(X0,X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f26,f179])).
% 287.82/36.60 fof(f2783,plain,(
% 287.82/36.60 member(power_set(product(empty_set)),power_set(empty_set))|~spl0_29),
% 287.82/36.60 inference(resolution,[status(thm)],[f2779,f2381])).
% 287.82/36.60 fof(f2787,plain,(
% 287.82/36.60 ![X0]: (member(X0,power_set(power_set(product(empty_set)))))),
% 287.82/36.60 inference(resolution,[status(thm)],[f2779,f2195])).
% 287.82/36.60 fof(f2790,plain,(
% 287.82/36.60 ![X0]: (member(X0,power_set(product(empty_set))))),
% 287.82/36.60 inference(resolution,[status(thm)],[f2779,f2184])).
% 287.82/36.60 fof(f2800,plain,(
% 287.82/36.60 ![X0,X1]: (~subset(power_set(product(empty_set)),X0)|member(X1,X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f2790,f26])).
% 287.82/36.60 fof(f2857,plain,(
% 287.82/36.60 subset(power_set(product(empty_set)),empty_set)|~spl0_29),
% 287.82/36.60 inference(resolution,[status(thm)],[f2783,f36])).
% 287.82/36.60 fof(f3028,plain,(
% 287.82/36.60 spl0_44 <=> member(power_set(empty_set),singleton(power_set(empty_set)))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f3149,plain,(
% 287.82/36.60 ![X0,X1,X2]: (member(X0,product(X1))|~subset(X1,X2)|member(sk0_2(X1,X0),X2))),
% 287.82/36.60 inference(resolution,[status(thm)],[f74,f26])).
% 287.82/36.60 fof(f3234,plain,(
% 287.82/36.60 ![X0,X1]: (~member(X0,singleton(empty_set))|~member(X0,power_set(X1))|~spl0_12)),
% 287.82/36.60 inference(resolution,[status(thm)],[f1101,f80])).
% 287.82/36.60 fof(f3250,plain,(
% 287.82/36.60 ![X0]: (~member(empty_set,power_set(X0))|~spl0_12)),
% 287.82/36.60 inference(resolution,[status(thm)],[f3234,f179])).
% 287.82/36.60 fof(f3372,plain,(
% 287.82/36.60 ![X0]: (member(X0,empty_set)|~spl0_29)),
% 287.82/36.60 inference(resolution,[status(thm)],[f2800,f2857])).
% 287.82/36.60 fof(f3373,plain,(
% 287.82/36.60 $false|~spl0_29),
% 287.82/36.60 inference(forward_subsumption_resolution,[status(thm)],[f3372,f48])).
% 287.82/36.60 fof(f3374,plain,(
% 287.82/36.60 ~spl0_29),
% 287.82/36.60 inference(contradiction_clause,[status(thm)],[f3373])).
% 287.82/36.60 fof(f3388,plain,(
% 287.82/36.60 subset(singleton(power_set(product(empty_set))),power_set(empty_set))|~spl0_35),
% 287.82/36.60 inference(resolution,[status(thm)],[f2498,f36])).
% 287.82/36.60 fof(f3389,plain,(
% 287.82/36.60 spl0_29|~spl0_35),
% 287.82/36.60 inference(split_clause,[status(thm)],[f3388,f2380,f2497])).
% 287.82/36.60 fof(f3412,plain,(
% 287.82/36.60 sk0_0(power_set(power_set(empty_set)),singleton(singleton(power_set(product(empty_set)))))=singleton(power_set(product(empty_set)))|spl0_29),
% 287.82/36.60 inference(resolution,[status(thm)],[f2382,f209])).
% 287.82/36.60 fof(f3425,plain,(
% 287.82/36.60 spl0_66 <=> singleton(empty_set)=empty_set),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f3426,plain,(
% 287.82/36.60 singleton(empty_set)=empty_set|~spl0_66),
% 287.82/36.60 inference(component_clause,[status(thm)],[f3425])).
% 287.82/36.60 fof(f3427,plain,(
% 287.82/36.60 ~singleton(empty_set)=empty_set|spl0_66),
% 287.82/36.60 inference(component_clause,[status(thm)],[f3425])).
% 287.82/36.60 fof(f3432,plain,(
% 287.82/36.60 spl0_67 <=> subset(singleton(singleton(empty_set)),singleton(empty_set))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f3433,plain,(
% 287.82/36.60 subset(singleton(singleton(empty_set)),singleton(empty_set))|~spl0_67),
% 287.82/36.60 inference(component_clause,[status(thm)],[f3432])).
% 287.82/36.60 fof(f3434,plain,(
% 287.82/36.60 ~subset(singleton(singleton(empty_set)),singleton(empty_set))|spl0_67),
% 287.82/36.60 inference(component_clause,[status(thm)],[f3432])).
% 287.82/36.60 fof(f3560,plain,(
% 287.82/36.60 member(empty_set,empty_set)|~spl0_66),
% 287.82/36.60 inference(paramodulation,[status(thm)],[f3426,f179])).
% 287.82/36.60 fof(f3561,plain,(
% 287.82/36.60 $false|~spl0_66),
% 287.82/36.60 inference(forward_subsumption_resolution,[status(thm)],[f3560,f48])).
% 287.82/36.60 fof(f3562,plain,(
% 287.82/36.60 ~spl0_66),
% 287.82/36.60 inference(contradiction_clause,[status(thm)],[f3561])).
% 287.82/36.60 fof(f3564,plain,(
% 287.82/36.60 member(singleton(empty_set),singleton(empty_set))|~spl0_67),
% 287.82/36.60 inference(resolution,[status(thm)],[f3433,f2779])).
% 287.82/36.60 fof(f3572,plain,(
% 287.82/36.60 singleton(empty_set)=empty_set|~spl0_67),
% 287.82/36.60 inference(resolution,[status(thm)],[f3564,f56])).
% 287.82/36.60 fof(f3573,plain,(
% 287.82/36.60 spl0_66|~spl0_67),
% 287.82/36.60 inference(split_clause,[status(thm)],[f3572,f3425,f3432])).
% 287.82/36.60 fof(f3583,plain,(
% 287.82/36.60 sk0_0(singleton(empty_set),singleton(singleton(empty_set)))=singleton(empty_set)|spl0_67),
% 287.82/36.60 inference(resolution,[status(thm)],[f3434,f185])).
% 287.82/36.60 fof(f3609,plain,(
% 287.82/36.60 subset(singleton(singleton(empty_set)),singleton(empty_set))|~member(singleton(empty_set),singleton(empty_set))|spl0_67),
% 287.82/36.60 inference(paramodulation,[status(thm)],[f3583,f28])).
% 287.82/36.60 fof(f3610,plain,(
% 287.82/36.60 spl0_67|~spl0_10),
% 287.82/36.60 inference(split_clause,[status(thm)],[f3609,f3432,f457])).
% 287.82/36.60 fof(f3627,plain,(
% 287.82/36.60 spl0_68 <=> subset(singleton(power_set(product(empty_set))),intersection(X0,power_set(empty_set)))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f3628,plain,(
% 287.82/36.60 ![X0]: (subset(singleton(power_set(product(empty_set))),intersection(X0,power_set(empty_set)))|~spl0_68)),
% 287.82/36.60 inference(component_clause,[status(thm)],[f3627])).
% 287.82/36.60 fof(f3630,plain,(
% 287.82/36.60 ![X0]: (subset(singleton(power_set(product(empty_set))),intersection(X0,power_set(empty_set)))|member(power_set(product(empty_set)),singleton(power_set(product(empty_set))))|spl0_30)),
% 287.82/36.60 inference(paramodulation,[status(thm)],[f2392,f27])).
% 287.82/36.60 fof(f3631,plain,(
% 287.82/36.60 spl0_68|spl0_39|spl0_30),
% 287.82/36.60 inference(split_clause,[status(thm)],[f3630,f3627,f2743,f2383])).
% 287.82/36.60 fof(f3633,plain,(
% 287.82/36.60 spl0_69 <=> subset(singleton(power_set(product(empty_set))),difference(power_set(empty_set),X0))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f3634,plain,(
% 287.82/36.60 ![X0]: (subset(singleton(power_set(product(empty_set))),difference(power_set(empty_set),X0))|~spl0_69)),
% 287.82/36.60 inference(component_clause,[status(thm)],[f3633])).
% 287.82/36.60 fof(f3639,plain,(
% 287.82/36.60 spl0_70 <=> subset(singleton(power_set(product(empty_set))),intersection(power_set(empty_set),X0))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f3640,plain,(
% 287.82/36.60 ![X0]: (subset(singleton(power_set(product(empty_set))),intersection(power_set(empty_set),X0))|~spl0_70)),
% 287.82/36.60 inference(component_clause,[status(thm)],[f3639])).
% 287.82/36.60 fof(f4099,plain,(
% 287.82/36.60 spl0_71 <=> member(X0,X1)),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f4100,plain,(
% 287.82/36.60 ![X0,X1]: (member(X0,X1)|~spl0_71)),
% 287.82/36.60 inference(component_clause,[status(thm)],[f4099])).
% 287.82/36.60 fof(f4107,plain,(
% 287.82/36.60 spl0_72 <=> sk0_0(power_set(empty_set),singleton(product(sum(empty_set))))=product(sum(empty_set))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f4108,plain,(
% 287.82/36.60 sk0_0(power_set(empty_set),singleton(product(sum(empty_set))))=product(sum(empty_set))|~spl0_72),
% 287.82/36.60 inference(component_clause,[status(thm)],[f4107])).
% 287.82/36.60 fof(f4110,plain,(
% 287.82/36.60 ![X0,X1]: (sk0_0(power_set(empty_set),singleton(product(sum(empty_set))))=product(sum(empty_set))|member(X0,X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f502,f2777])).
% 287.82/36.60 fof(f4111,plain,(
% 287.82/36.60 spl0_72|spl0_71),
% 287.82/36.60 inference(split_clause,[status(thm)],[f4110,f4107,f4099])).
% 287.82/36.60 fof(f4112,plain,(
% 287.82/36.60 spl0_73 <=> sk0_0(power_set(empty_set),singleton(product(empty_set)))=product(empty_set)),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f4113,plain,(
% 287.82/36.60 sk0_0(power_set(empty_set),singleton(product(empty_set)))=product(empty_set)|~spl0_73),
% 287.82/36.60 inference(component_clause,[status(thm)],[f4112])).
% 287.82/36.60 fof(f4115,plain,(
% 287.82/36.60 ![X0,X1]: (sk0_0(power_set(empty_set),singleton(product(empty_set)))=product(empty_set)|member(X0,X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f502,f2778])).
% 287.82/36.60 fof(f4116,plain,(
% 287.82/36.60 spl0_73|spl0_71),
% 287.82/36.60 inference(split_clause,[status(thm)],[f4115,f4112,f4099])).
% 287.82/36.60 fof(f4120,plain,(
% 287.82/36.60 sk0_0(power_set(empty_set),singleton(singleton(power_set(product(empty_set)))))=singleton(power_set(product(empty_set)))|spl0_29),
% 287.82/36.60 inference(resolution,[status(thm)],[f502,f2382])).
% 287.82/36.60 fof(f4200,plain,(
% 287.82/36.60 ![X0,X1]: (~member(X0,X1)|~spl0_71)),
% 287.82/36.60 inference(backward_subsumption_resolution,[status(thm)],[f52,f4100])).
% 287.82/36.60 fof(f4201,plain,(
% 287.82/36.60 spl0_27|~spl0_71),
% 287.82/36.60 inference(split_clause,[status(thm)],[f4200,f2359,f4099])).
% 287.82/36.60 fof(f4208,plain,(
% 287.82/36.60 spl0_75 <=> subset(singleton(product(empty_set)),power_set(empty_set))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f4209,plain,(
% 287.82/36.60 subset(singleton(product(empty_set)),power_set(empty_set))|~spl0_75),
% 287.82/36.60 inference(component_clause,[status(thm)],[f4208])).
% 287.82/36.60 fof(f4210,plain,(
% 287.82/36.60 ~subset(singleton(product(empty_set)),power_set(empty_set))|spl0_75),
% 287.82/36.60 inference(component_clause,[status(thm)],[f4208])).
% 287.82/36.60 fof(f4211,plain,(
% 287.82/36.60 spl0_76 <=> subset(product(empty_set),empty_set)),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f4213,plain,(
% 287.82/36.60 ~subset(product(empty_set),empty_set)|spl0_76),
% 287.82/36.60 inference(component_clause,[status(thm)],[f4211])).
% 287.82/36.60 fof(f4240,plain,(
% 287.82/36.60 spl0_78 <=> subset(singleton(product(sum(empty_set))),power_set(empty_set))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f4241,plain,(
% 287.82/36.60 subset(singleton(product(sum(empty_set))),power_set(empty_set))|~spl0_78),
% 287.82/36.60 inference(component_clause,[status(thm)],[f4240])).
% 287.82/36.60 fof(f4243,plain,(
% 287.82/36.60 spl0_79 <=> subset(product(sum(empty_set)),empty_set)),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f4246,plain,(
% 287.82/36.60 subset(singleton(product(sum(empty_set))),power_set(empty_set))|~subset(product(sum(empty_set)),empty_set)|~spl0_72),
% 287.82/36.60 inference(paramodulation,[status(thm)],[f4108,f191])).
% 287.82/36.60 fof(f4247,plain,(
% 287.82/36.60 spl0_78|~spl0_79|~spl0_72),
% 287.82/36.60 inference(split_clause,[status(thm)],[f4246,f4240,f4243,f4107])).
% 287.82/36.60 fof(f4248,plain,(
% 287.82/36.60 spl0_80 <=> power_set(empty_set)=power_set(empty_set)),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f4292,plain,(
% 287.82/36.60 spl0_84 <=> subset(singleton(singleton(power_set(product(empty_set)))),power_set(power_set(empty_set)))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f4293,plain,(
% 287.82/36.60 subset(singleton(singleton(power_set(product(empty_set)))),power_set(power_set(empty_set)))|~spl0_84),
% 287.82/36.60 inference(component_clause,[status(thm)],[f4292])).
% 287.82/36.60 fof(f4297,plain,(
% 287.82/36.60 spl0_85 <=> subset(singleton(singleton(power_set(product(empty_set)))),power_set(empty_set))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f4298,plain,(
% 287.82/36.60 subset(singleton(singleton(power_set(product(empty_set)))),power_set(empty_set))|~spl0_85),
% 287.82/36.60 inference(component_clause,[status(thm)],[f4297])).
% 287.82/36.60 fof(f4300,plain,(
% 287.82/36.60 spl0_86 <=> subset(singleton(power_set(product(empty_set))),empty_set)),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f4302,plain,(
% 287.82/36.60 ~subset(singleton(power_set(product(empty_set))),empty_set)|spl0_86),
% 287.82/36.60 inference(component_clause,[status(thm)],[f4300])).
% 287.82/36.60 fof(f4303,plain,(
% 287.82/36.60 subset(singleton(singleton(power_set(product(empty_set)))),power_set(empty_set))|~subset(singleton(power_set(product(empty_set))),empty_set)|spl0_29),
% 287.82/36.60 inference(paramodulation,[status(thm)],[f4120,f191])).
% 287.82/36.60 fof(f4304,plain,(
% 287.82/36.60 spl0_85|~spl0_86|spl0_29),
% 287.82/36.60 inference(split_clause,[status(thm)],[f4303,f4297,f4300,f2380])).
% 287.82/36.60 fof(f4307,plain,(
% 287.82/36.60 member(product(sum(empty_set)),power_set(empty_set))|~spl0_78),
% 287.82/36.60 inference(resolution,[status(thm)],[f2779,f4241])).
% 287.82/36.60 fof(f4308,plain,(
% 287.82/36.60 member(product(empty_set),power_set(empty_set))|~spl0_75),
% 287.82/36.60 inference(resolution,[status(thm)],[f2779,f4209])).
% 287.82/36.60 fof(f4328,plain,(
% 287.82/36.60 ~subset(product(empty_set),power_set(empty_set))|spl0_33),
% 287.82/36.60 inference(resolution,[status(thm)],[f2778,f2473])).
% 287.82/36.60 fof(f4330,plain,(
% 287.82/36.60 ~subset(product(empty_set),singleton(empty_set))|spl0_10),
% 287.82/36.60 inference(resolution,[status(thm)],[f2778,f459])).
% 287.82/36.60 fof(f4422,plain,(
% 287.82/36.60 subset(singleton(singleton(power_set(product(empty_set)))),power_set(power_set(empty_set)))|member(singleton(power_set(product(empty_set))),singleton(singleton(power_set(product(empty_set)))))|spl0_29),
% 287.82/36.60 inference(paramodulation,[status(thm)],[f3412,f27])).
% 287.82/36.60 fof(f4423,plain,(
% 287.82/36.60 spl0_84|spl0_37|spl0_29),
% 287.82/36.60 inference(split_clause,[status(thm)],[f4422,f4292,f2506,f2380])).
% 287.82/36.60 fof(f4426,plain,(
% 287.82/36.60 spl0_87 <=> member(product(sum(empty_set)),singleton(product(sum(empty_set))))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f4429,plain,(
% 287.82/36.60 subset(singleton(product(sum(empty_set))),power_set(empty_set))|member(product(sum(empty_set)),singleton(product(sum(empty_set))))|~spl0_72),
% 287.82/36.60 inference(paramodulation,[status(thm)],[f4108,f27])).
% 287.82/36.60 fof(f4430,plain,(
% 287.82/36.60 spl0_78|spl0_87|~spl0_72),
% 287.82/36.60 inference(split_clause,[status(thm)],[f4429,f4240,f4426,f4107])).
% 287.82/36.60 fof(f4538,plain,(
% 287.82/36.60 ![X0,X1]: (product(empty_set)=unaryUnion(X0)|~member(sk0_16(product(empty_set),X0),X1)|~member(X1,X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f141,f1400])).
% 287.82/36.60 fof(f4547,plain,(
% 287.82/36.60 ![X0,X1]: (singleton(X0)=unaryUnion(X1)|member(sk0_17(singleton(X0),X1),X1)|sk0_16(singleton(X0),X1)=X0)),
% 287.82/36.60 inference(resolution,[status(thm)],[f143,f56])).
% 287.82/36.60 fof(f4550,plain,(
% 287.82/36.60 ![X0]: (empty_set=unaryUnion(X0)|member(sk0_17(empty_set,X0),X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f143,f48])).
% 287.82/36.60 fof(f4554,plain,(
% 287.82/36.60 ![X0,X1]: (X0=unaryUnion(power_set(X1))|member(sk0_16(X0,power_set(X1)),X0)|subset(sk0_17(X0,power_set(X1)),X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f143,f36])).
% 287.82/36.60 fof(f4555,plain,(
% 287.82/36.60 ![X0,X1]: (X0=unaryUnion(singleton(X1))|member(sk0_16(X0,singleton(X1)),X0)|sk0_17(X0,singleton(X1))=X1)),
% 287.82/36.60 inference(resolution,[status(thm)],[f143,f56])).
% 287.82/36.60 fof(f4558,plain,(
% 287.82/36.60 ![X0]: (X0=unaryUnion(empty_set)|member(sk0_16(X0,empty_set),X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f143,f48])).
% 287.82/36.60 fof(f4565,plain,(
% 287.82/36.60 subset(product(empty_set),empty_set)|~spl0_75),
% 287.82/36.60 inference(resolution,[status(thm)],[f4308,f36])).
% 287.82/36.60 fof(f4568,plain,(
% 287.82/36.60 ~subset(product(empty_set),empty_set)),
% 287.82/36.60 inference(resolution,[status(thm)],[f2778,f48])).
% 287.82/36.60 fof(f4574,plain,(
% 287.82/36.60 sk0_0(power_set(power_set(empty_set)),singleton(product(empty_set)))=product(empty_set)|spl0_33),
% 287.82/36.60 inference(resolution,[status(thm)],[f4328,f209])).
% 287.82/36.60 fof(f4578,plain,(
% 287.82/36.60 sk0_0(power_set(singleton(empty_set)),singleton(product(empty_set)))=product(empty_set)|spl0_10),
% 287.82/36.60 inference(resolution,[status(thm)],[f4330,f209])).
% 287.82/36.60 fof(f4592,plain,(
% 287.82/36.60 subset(product(sum(empty_set)),empty_set)|~spl0_78),
% 287.82/36.60 inference(resolution,[status(thm)],[f4307,f36])).
% 287.82/36.60 fof(f4646,plain,(
% 287.82/36.60 member(singleton(power_set(product(empty_set))),power_set(empty_set))|~spl0_85),
% 287.82/36.60 inference(resolution,[status(thm)],[f4298,f2779])).
% 287.82/36.60 fof(f4649,plain,(
% 287.82/36.60 subset(singleton(power_set(product(empty_set))),empty_set)|~spl0_85),
% 287.82/36.60 inference(resolution,[status(thm)],[f4646,f36])).
% 287.82/36.60 fof(f4652,plain,(
% 287.82/36.60 member(power_set(product(empty_set)),empty_set)|~spl0_85),
% 287.82/36.60 inference(resolution,[status(thm)],[f4649,f2779])).
% 287.82/36.60 fof(f4653,plain,(
% 287.82/36.60 $false|~spl0_85),
% 287.82/36.60 inference(forward_subsumption_resolution,[status(thm)],[f4652,f48])).
% 287.82/36.60 fof(f4654,plain,(
% 287.82/36.60 ~spl0_85),
% 287.82/36.60 inference(contradiction_clause,[status(thm)],[f4653])).
% 287.82/36.60 fof(f4667,plain,(
% 287.82/36.60 spl0_95 <=> sk0_2(singleton(power_set(empty_set)),product(empty_set))=power_set(empty_set)),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f4681,plain,(
% 287.82/36.60 spl0_97 <=> member(product(empty_set),power_set(empty_set))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f4683,plain,(
% 287.82/36.60 ~member(product(empty_set),power_set(empty_set))|spl0_97),
% 287.82/36.60 inference(component_clause,[status(thm)],[f4681])).
% 287.82/36.60 fof(f4707,plain,(
% 287.82/36.60 ![X0]: (member(power_set(product(empty_set)),intersection(X0,power_set(empty_set)))|~spl0_68)),
% 287.82/36.60 inference(resolution,[status(thm)],[f3628,f2779])).
% 287.82/36.60 fof(f4710,plain,(
% 287.82/36.60 $false|~spl0_75),
% 287.82/36.60 inference(forward_subsumption_resolution,[status(thm)],[f4568,f4565])).
% 287.82/36.60 fof(f4711,plain,(
% 287.82/36.60 ~spl0_75),
% 287.82/36.60 inference(contradiction_clause,[status(thm)],[f4710])).
% 287.82/36.60 fof(f4815,plain,(
% 287.82/36.60 spl0_99 <=> X0=X1),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f4816,plain,(
% 287.82/36.60 ![X0,X1]: (X0=X1|~spl0_99)),
% 287.82/36.60 inference(component_clause,[status(thm)],[f4815])).
% 287.82/36.60 fof(f4844,plain,(
% 287.82/36.60 ![X0]: (member(X0,empty_set)|~spl0_78)),
% 287.82/36.60 inference(resolution,[status(thm)],[f2777,f4592])).
% 287.82/36.60 fof(f4845,plain,(
% 287.82/36.60 $false|~spl0_78),
% 287.82/36.60 inference(forward_subsumption_resolution,[status(thm)],[f4844,f48])).
% 287.82/36.60 fof(f4846,plain,(
% 287.82/36.60 ~spl0_78),
% 287.82/36.60 inference(contradiction_clause,[status(thm)],[f4845])).
% 287.82/36.60 fof(f4867,plain,(
% 287.82/36.60 ![X0,X1]: (singleton(X0)=unaryUnion(power_set(X1))|sk0_16(singleton(X0),power_set(X1))=X0|subset(sk0_17(singleton(X0),power_set(X1)),X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f4547,f36])).
% 287.82/36.60 fof(f4877,plain,(
% 287.82/36.60 ![X0,X1]: (empty_set=unaryUnion(difference(X0,X1))|member(sk0_17(empty_set,difference(X0,X1)),X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f4550,f51])).
% 287.82/36.60 fof(f4878,plain,(
% 287.82/36.60 ![X0,X1]: (empty_set=unaryUnion(intersection(X0,X1))|member(sk0_17(empty_set,intersection(X0,X1)),X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f4550,f41])).
% 287.82/36.60 fof(f4879,plain,(
% 287.82/36.60 ![X0,X1]: (empty_set=unaryUnion(intersection(X0,X1))|member(sk0_17(empty_set,intersection(X0,X1)),X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f4550,f40])).
% 287.82/36.60 fof(f4880,plain,(
% 287.82/36.60 ![X0]: (empty_set=unaryUnion(power_set(X0))|subset(sk0_17(empty_set,power_set(X0)),X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f4550,f36])).
% 287.82/36.60 fof(f4886,plain,(
% 287.82/36.60 empty_set=unaryUnion(empty_set)),
% 287.82/36.60 inference(resolution,[status(thm)],[f4550,f48])).
% 287.82/36.60 fof(f4895,plain,(
% 287.82/36.60 ![X0,X1]: (~member(sk0_17(empty_set,difference(X0,X1)),X1)|empty_set=unaryUnion(difference(X0,X1)))),
% 287.82/36.60 inference(resolution,[status(thm)],[f52,f4550])).
% 287.82/36.60 fof(f4904,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~member(X0,X1)|~subset(product(empty_set),difference(X2,X1)))),
% 287.82/36.60 inference(resolution,[status(thm)],[f52,f2778])).
% 287.82/36.60 fof(f4919,plain,(
% 287.82/36.60 ![X0,X1]: (subset(X0,X1)|~subset(product(empty_set),X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f28,f2778])).
% 287.82/36.60 fof(f4943,plain,(
% 287.82/36.60 spl0_100 <=> member(singleton(power_set(product(empty_set))),power_set(empty_set))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f4946,plain,(
% 287.82/36.60 subset(singleton(singleton(power_set(product(empty_set)))),power_set(empty_set))|~member(singleton(power_set(product(empty_set))),power_set(empty_set))|spl0_29),
% 287.82/36.60 inference(paramodulation,[status(thm)],[f4120,f28])).
% 287.82/36.60 fof(f4947,plain,(
% 287.82/36.60 spl0_85|~spl0_100|spl0_29),
% 287.82/36.60 inference(split_clause,[status(thm)],[f4946,f4297,f4943,f2380])).
% 287.82/36.60 fof(f4948,plain,(
% 287.82/36.60 spl0_101 <=> member(product(sum(empty_set)),power_set(empty_set))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f4951,plain,(
% 287.82/36.60 subset(singleton(product(sum(empty_set))),power_set(empty_set))|~member(product(sum(empty_set)),power_set(empty_set))|~spl0_72),
% 287.82/36.60 inference(paramodulation,[status(thm)],[f4108,f28])).
% 287.82/36.60 fof(f4952,plain,(
% 287.82/36.60 spl0_78|~spl0_101|~spl0_72),
% 287.82/36.60 inference(split_clause,[status(thm)],[f4951,f4240,f4948,f4107])).
% 287.82/36.60 fof(f4953,plain,(
% 287.82/36.60 subset(singleton(product(empty_set)),power_set(empty_set))|~member(product(empty_set),power_set(empty_set))|~spl0_73),
% 287.82/36.60 inference(paramodulation,[status(thm)],[f4113,f28])).
% 287.82/36.60 fof(f4954,plain,(
% 287.82/36.60 spl0_75|~spl0_97|~spl0_73),
% 287.82/36.60 inference(split_clause,[status(thm)],[f4953,f4208,f4681,f4112])).
% 287.82/36.60 fof(f4980,plain,(
% 287.82/36.60 spl0_102 <=> subset(X0,X1)),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f4981,plain,(
% 287.82/36.60 ![X0,X1]: (subset(X0,X1)|~spl0_102)),
% 287.82/36.60 inference(component_clause,[status(thm)],[f4980])).
% 287.82/36.60 fof(f4989,plain,(
% 287.82/36.60 ![X0,X1,X2]: (member(sk0_17(empty_set,equivalence_class(X0,X1,X2)),X1)|empty_set=unaryUnion(equivalence_class(X0,X1,X2)))),
% 287.82/36.60 inference(resolution,[status(thm)],[f112,f4550])).
% 287.82/36.60 fof(f5000,plain,(
% 287.82/36.60 ![X0,X1,X2,X3]: (~subset(X0,X1)|~member(sk0_16(X1,X2),X0)|X1=unaryUnion(X2)|~member(sk0_16(X1,X2),X3)|~member(X3,X2))),
% 287.82/36.60 inference(resolution,[status(thm)],[f26,f141])).
% 287.82/36.60 fof(f5005,plain,(
% 287.82/36.60 ![X0]: (~subset(X0,singleton(empty_set))|~member(singleton(empty_set),X0)|spl0_10)),
% 287.82/36.60 inference(resolution,[status(thm)],[f26,f459])).
% 287.82/36.60 fof(f5018,plain,(
% 287.82/36.60 ![X0,X1]: (~subset(X0,empty_set)|~member(X1,X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f26,f48])).
% 287.82/36.60 fof(f5072,plain,(
% 287.82/36.60 ![X0,X1,X2]: (~member(X0,X1)|member(sk0_19(X0,X1,X2),X2)|~partition(X2,X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f152,f89])).
% 287.82/36.60 fof(f5081,plain,(
% 287.82/36.60 ![X0,X1]: (pd0_0(X0,singleton(X1))|member(sk0_21(X0,singleton(X1)),X0)|sk0_20(X0,singleton(X1))=X1)),
% 287.82/36.60 inference(resolution,[status(thm)],[f154,f56])).
% 287.82/36.60 fof(f5086,plain,(
% 287.82/36.60 ![X0]: (pd0_0(X0,empty_set)|member(sk0_21(X0,empty_set),X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f154,f48])).
% 287.82/36.60 fof(f5097,plain,(
% 287.82/36.60 ![X0,X1]: (pd0_0(singleton(X0),X1)|member(sk0_20(singleton(X0),X1),X1)|sk0_21(singleton(X0),X1)=X0)),
% 287.82/36.60 inference(resolution,[status(thm)],[f154,f56])).
% 287.82/36.60 fof(f5102,plain,(
% 287.82/36.60 ![X0]: (pd0_0(empty_set,X0)|member(sk0_20(empty_set,X0),X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f154,f48])).
% 287.82/36.60 fof(f5106,plain,(
% 287.82/36.60 $false|~spl0_99|spl0_66),
% 287.82/36.60 inference(backward_subsumption_resolution,[status(thm)],[f3427,f4816])).
% 287.82/36.60 fof(f5107,plain,(
% 287.82/36.60 ~spl0_99|spl0_66),
% 287.82/36.60 inference(contradiction_clause,[status(thm)],[f5106])).
% 287.82/36.60 fof(f5120,plain,(
% 287.82/36.60 $false|~spl0_102),
% 287.82/36.60 inference(backward_subsumption_resolution,[status(thm)],[f4568,f4981])).
% 287.82/36.60 fof(f5121,plain,(
% 287.82/36.60 ~spl0_102),
% 287.82/36.60 inference(contradiction_clause,[status(thm)],[f5120])).
% 287.82/36.60 fof(f5122,plain,(
% 287.82/36.60 member(power_set(product(empty_set)),power_set(empty_set))|~spl0_68),
% 287.82/36.60 inference(resolution,[status(thm)],[f4707,f41])).
% 287.82/36.60 fof(f5123,plain,(
% 287.82/36.60 spl0_33|~spl0_68),
% 287.82/36.60 inference(split_clause,[status(thm)],[f5122,f2471,f3627])).
% 287.82/36.60 fof(f5158,plain,(
% 287.82/36.60 ![X0]: (X0=empty_set|member(sk0_16(X0,empty_set),X0))),
% 287.82/36.60 inference(forward_demodulation,[status(thm)],[f4886,f4558])).
% 287.82/36.60 fof(f5160,plain,(
% 287.82/36.60 ![X0,X1,X2]: (equivalence_class(X0,X1,X2)=empty_set|member(sk0_16(equivalence_class(X0,X1,X2),empty_set),X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f5158,f112])).
% 287.82/36.60 fof(f5161,plain,(
% 287.82/36.60 ![X0,X1]: (difference(X0,X1)=empty_set|~member(sk0_16(difference(X0,X1),empty_set),X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f5158,f52])).
% 287.82/36.60 fof(f5162,plain,(
% 287.82/36.60 ![X0,X1]: (difference(X0,X1)=empty_set|member(sk0_16(difference(X0,X1),empty_set),X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f5158,f51])).
% 287.82/36.60 fof(f5163,plain,(
% 287.82/36.60 ![X0,X1]: (intersection(X0,X1)=empty_set|member(sk0_16(intersection(X0,X1),empty_set),X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f5158,f41])).
% 287.82/36.60 fof(f5164,plain,(
% 287.82/36.60 ![X0,X1]: (intersection(X0,X1)=empty_set|member(sk0_16(intersection(X0,X1),empty_set),X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f5158,f40])).
% 287.82/36.60 fof(f5167,plain,(
% 287.82/36.60 sum(empty_set)=empty_set),
% 287.82/36.60 inference(resolution,[status(thm)],[f5158,f835])).
% 287.82/36.60 fof(f5229,plain,(
% 287.82/36.60 ![X0,X1,X2]: (pd0_0(X0,singleton(X1))|~member(X2,singleton(X1))|~member(sk0_21(X0,singleton(X1)),X2)|sk0_20(X0,singleton(X1))=X1)),
% 287.82/36.60 inference(resolution,[status(thm)],[f155,f56])).
% 287.82/36.60 fof(f5387,plain,(
% 287.82/36.60 ![X0]: (subset(sk0_16(power_set(X0),empty_set),X0)|power_set(X0)=empty_set)),
% 287.82/36.60 inference(resolution,[status(thm)],[f36,f5158])).
% 287.82/36.60 fof(f5398,plain,(
% 287.82/36.60 ![X0]: (member(empty_set,power_set(X0)))),
% 287.82/36.60 inference(resolution,[status(thm)],[f37,f186])).
% 287.82/36.60 fof(f5401,plain,(
% 287.82/36.60 ![X0]: (member(X0,power_set(X0)))),
% 287.82/36.60 inference(resolution,[status(thm)],[f37,f190])).
% 287.82/36.60 fof(f5525,plain,(
% 287.82/36.60 ![X0]: (member(power_set(product(empty_set)),difference(power_set(empty_set),X0))|~spl0_69)),
% 287.82/36.60 inference(resolution,[status(thm)],[f3634,f2779])).
% 287.82/36.60 fof(f5560,plain,(
% 287.82/36.60 ![X0]: (pd0_0(power_set(X0),empty_set)|subset(sk0_21(power_set(X0),empty_set),X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f5086,f36])).
% 287.82/36.60 fof(f5562,plain,(
% 287.82/36.60 ![X0,X1,X2]: (pd0_0(equivalence_class(X0,X1,X2),empty_set)|member(sk0_21(equivalence_class(X0,X1,X2),empty_set),X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f5086,f112])).
% 287.82/36.60 fof(f5563,plain,(
% 287.82/36.60 ![X0,X1]: (pd0_0(difference(X0,X1),empty_set)|~member(sk0_21(difference(X0,X1),empty_set),X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f5086,f52])).
% 287.82/36.60 fof(f5564,plain,(
% 287.82/36.60 ![X0,X1]: (pd0_0(difference(X0,X1),empty_set)|member(sk0_21(difference(X0,X1),empty_set),X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f5086,f51])).
% 287.82/36.60 fof(f5565,plain,(
% 287.82/36.60 ![X0,X1]: (pd0_0(intersection(X0,X1),empty_set)|member(sk0_21(intersection(X0,X1),empty_set),X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f5086,f41])).
% 287.82/36.60 fof(f5566,plain,(
% 287.82/36.60 ![X0,X1]: (pd0_0(intersection(X0,X1),empty_set)|member(sk0_21(intersection(X0,X1),empty_set),X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f5086,f40])).
% 287.82/36.60 fof(f5567,plain,(
% 287.82/36.60 pd0_0(empty_set,empty_set)),
% 287.82/36.60 inference(resolution,[status(thm)],[f5086,f48])).
% 287.82/36.60 fof(f5610,plain,(
% 287.82/36.60 member(power_set(product(empty_set)),power_set(empty_set))|~spl0_69),
% 287.82/36.60 inference(resolution,[status(thm)],[f5525,f51])).
% 287.82/36.60 fof(f5611,plain,(
% 287.82/36.60 spl0_33|~spl0_69),
% 287.82/36.60 inference(split_clause,[status(thm)],[f5610,f2471,f3633])).
% 287.82/36.60 fof(f5615,plain,(
% 287.82/36.60 ![X0]: (member(power_set(product(empty_set)),intersection(power_set(empty_set),X0))|~spl0_70)),
% 287.82/36.60 inference(resolution,[status(thm)],[f3640,f2779])).
% 287.82/36.60 fof(f5619,plain,(
% 287.82/36.60 member(power_set(product(empty_set)),power_set(empty_set))|~spl0_70),
% 287.82/36.60 inference(resolution,[status(thm)],[f5615,f40])).
% 287.82/36.60 fof(f5620,plain,(
% 287.82/36.60 spl0_33|~spl0_70),
% 287.82/36.60 inference(split_clause,[status(thm)],[f5619,f2471,f3639])).
% 287.82/36.60 fof(f5631,plain,(
% 287.82/36.60 spl0_106 <=> singleton(power_set(product(empty_set)))=empty_set),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f5632,plain,(
% 287.82/36.60 singleton(power_set(product(empty_set)))=empty_set|~spl0_106),
% 287.82/36.60 inference(component_clause,[status(thm)],[f5631])).
% 287.82/36.60 fof(f5640,plain,(
% 287.82/36.60 spl0_108 <=> pd0_0(singleton(power_set(product(empty_set))),empty_set)),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f5641,plain,(
% 287.82/36.60 pd0_0(singleton(power_set(product(empty_set))),empty_set)|~spl0_108),
% 287.82/36.60 inference(component_clause,[status(thm)],[f5640])).
% 287.82/36.60 fof(f5655,plain,(
% 287.82/36.60 ~member(empty_set,power_set(power_set(empty_set)))|~spl0_106|spl0_35),
% 287.82/36.60 inference(backward_demodulation,[status(thm)],[f5632,f2499])).
% 287.82/36.60 fof(f5656,plain,(
% 287.82/36.60 $false|~spl0_106|spl0_35),
% 287.82/36.60 inference(forward_subsumption_resolution,[status(thm)],[f5655,f5398])).
% 287.82/36.60 fof(f5657,plain,(
% 287.82/36.60 ~spl0_106|spl0_35),
% 287.82/36.60 inference(contradiction_clause,[status(thm)],[f5656])).
% 287.82/36.60 fof(f5660,plain,(
% 287.82/36.60 ![X0]: (~member(X0,singleton(power_set(product(empty_set))))|member(sk0_19(X0,singleton(power_set(product(empty_set))),empty_set),empty_set)|~spl0_108)),
% 287.82/36.60 inference(resolution,[status(thm)],[f5641,f152])).
% 287.82/36.60 fof(f5661,plain,(
% 287.82/36.60 ![X0]: (~member(X0,singleton(power_set(product(empty_set))))|~spl0_108)),
% 287.82/36.60 inference(forward_subsumption_resolution,[status(thm)],[f5660,f48])).
% 287.82/36.60 fof(f5674,plain,(
% 287.82/36.60 $false|~spl0_108),
% 287.82/36.60 inference(resolution,[status(thm)],[f5661,f179])).
% 287.82/36.60 fof(f5675,plain,(
% 287.82/36.60 ~spl0_108),
% 287.82/36.60 inference(contradiction_clause,[status(thm)],[f5674])).
% 287.82/36.60 fof(f5703,plain,(
% 287.82/36.60 spl0_112 <=> pd0_0(singleton(power_set(empty_set)),empty_set)),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f5704,plain,(
% 287.82/36.60 pd0_0(singleton(power_set(empty_set)),empty_set)|~spl0_112),
% 287.82/36.60 inference(component_clause,[status(thm)],[f5703])).
% 287.82/36.60 fof(f5705,plain,(
% 287.82/36.60 ~pd0_0(singleton(power_set(empty_set)),empty_set)|spl0_112),
% 287.82/36.60 inference(component_clause,[status(thm)],[f5703])).
% 287.82/36.60 fof(f5729,plain,(
% 287.82/36.60 ![X0]: (~member(X0,singleton(power_set(empty_set)))|member(sk0_19(X0,singleton(power_set(empty_set)),empty_set),empty_set)|~spl0_112)),
% 287.82/36.60 inference(resolution,[status(thm)],[f5704,f152])).
% 287.82/36.60 fof(f5730,plain,(
% 287.82/36.60 ![X0]: (~member(X0,singleton(power_set(empty_set)))|~spl0_112)),
% 287.82/36.60 inference(forward_subsumption_resolution,[status(thm)],[f5729,f48])).
% 287.82/36.60 fof(f5742,plain,(
% 287.82/36.60 $false|~spl0_112),
% 287.82/36.60 inference(resolution,[status(thm)],[f5730,f179])).
% 287.82/36.60 fof(f5743,plain,(
% 287.82/36.60 ~spl0_112),
% 287.82/36.60 inference(contradiction_clause,[status(thm)],[f5742])).
% 287.82/36.60 fof(f5771,plain,(
% 287.82/36.60 ![X0]: (pd0_0(empty_set,power_set(X0))|subset(sk0_20(empty_set,power_set(X0)),X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f5102,f36])).
% 287.82/36.60 fof(f5773,plain,(
% 287.82/36.60 ![X0,X1,X2]: (pd0_0(empty_set,equivalence_class(X0,X1,X2))|member(sk0_20(empty_set,equivalence_class(X0,X1,X2)),X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f5102,f112])).
% 287.82/36.60 fof(f5774,plain,(
% 287.82/36.60 ![X0,X1]: (pd0_0(empty_set,difference(X0,X1))|~member(sk0_20(empty_set,difference(X0,X1)),X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f5102,f52])).
% 287.82/36.60 fof(f5775,plain,(
% 287.82/36.60 ![X0,X1]: (pd0_0(empty_set,difference(X0,X1))|member(sk0_20(empty_set,difference(X0,X1)),X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f5102,f51])).
% 287.82/36.60 fof(f5776,plain,(
% 287.82/36.60 ![X0,X1]: (pd0_0(empty_set,intersection(X0,X1))|member(sk0_20(empty_set,intersection(X0,X1)),X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f5102,f41])).
% 287.82/36.60 fof(f5777,plain,(
% 287.82/36.60 ![X0,X1]: (pd0_0(empty_set,intersection(X0,X1))|member(sk0_20(empty_set,intersection(X0,X1)),X0))),
% 287.82/36.60 inference(resolution,[status(thm)],[f5102,f40])).
% 287.82/36.60 fof(f5798,plain,(
% 287.82/36.60 ![X0]: (empty_set=unaryUnion(singleton(X0))|sk0_17(empty_set,singleton(X0))=X0)),
% 287.82/36.60 inference(resolution,[status(thm)],[f4550,f56])).
% 287.82/36.60 fof(f5800,plain,(
% 287.82/36.60 ![X0,X1]: (empty_set=unaryUnion(difference(X0,X1))|~member(sk0_17(empty_set,difference(X0,X1)),X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f4550,f52])).
% 287.82/36.60 fof(f5809,plain,(
% 287.82/36.60 ![X0,X1]: (singleton(X0)=unaryUnion(power_set(X1))|sk0_16(singleton(X0),power_set(X1))=X0|subset(sk0_17(singleton(X0),power_set(X1)),X1))),
% 287.82/36.60 inference(resolution,[status(thm)],[f4547,f36])).
% 287.82/36.60 fof(f5849,plain,(
% 287.82/36.60 spl0_113 <=> member(singleton(empty_set),product(singleton(singleton(empty_set))))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f5850,plain,(
% 287.82/36.60 member(singleton(empty_set),product(singleton(singleton(empty_set))))|~spl0_113),
% 287.82/36.60 inference(component_clause,[status(thm)],[f5849])).
% 287.82/36.60 fof(f5906,plain,(
% 287.82/36.60 ![X0,X1]: (member(sk0_16(union(X0,X1),empty_set),X0)|member(sk0_16(union(X0,X1),empty_set),X1)|union(X0,X1)=empty_set)),
% 287.82/36.60 inference(resolution,[status(thm)],[f45,f5158])).
% 287.82/36.60 fof(f5908,plain,(
% 287.82/36.60 ![X0,X1]: (member(sk0_21(union(X0,X1),empty_set),X0)|member(sk0_21(union(X0,X1),empty_set),X1)|pd0_0(union(X0,X1),empty_set))),
% 287.82/36.60 inference(resolution,[status(thm)],[f45,f5086])).
% 287.82/36.60 fof(f5911,plain,(
% 287.82/36.60 ![X0,X1]: (member(sk0_20(empty_set,union(X0,X1)),X0)|member(sk0_20(empty_set,union(X0,X1)),X1)|pd0_0(empty_set,union(X0,X1)))),
% 287.82/36.60 inference(resolution,[status(thm)],[f45,f5102])).
% 287.82/36.60 fof(f5919,plain,(
% 287.82/36.60 spl0_114 <=> partition(empty_set,empty_set)),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f5920,plain,(
% 287.82/36.60 partition(empty_set,empty_set)|~spl0_114),
% 287.82/36.60 inference(component_clause,[status(thm)],[f5919])).
% 287.82/36.60 fof(f5931,plain,(
% 287.82/36.60 non_overlapping(empty_set)|~spl0_114),
% 287.82/36.60 inference(resolution,[status(thm)],[f5920,f133])).
% 287.82/36.60 fof(f5932,plain,(
% 287.82/36.60 partition(empty_set,sk0_14(empty_set))|~spl0_114),
% 287.82/36.60 inference(resolution,[status(thm)],[f5931,f132])).
% 287.82/36.60 fof(f5935,plain,(
% 287.82/36.60 ![X0]: (~member(X0,sk0_14(empty_set))|member(sk0_19(X0,sk0_14(empty_set),empty_set),empty_set)|~spl0_114)),
% 287.82/36.60 inference(resolution,[status(thm)],[f5932,f5072])).
% 287.82/36.60 fof(f5936,plain,(
% 287.82/36.60 ![X0]: (~member(X0,sk0_14(empty_set))|~spl0_114)),
% 287.82/36.60 inference(forward_subsumption_resolution,[status(thm)],[f5935,f48])).
% 287.82/36.60 fof(f5941,plain,(
% 287.82/36.60 ![X0]: (singleton(X0)=unaryUnion(sk0_14(empty_set))|sk0_16(singleton(X0),sk0_14(empty_set))=X0|~spl0_114)),
% 287.82/36.60 inference(resolution,[status(thm)],[f5936,f4547])).
% 287.82/36.60 fof(f5944,plain,(
% 287.82/36.60 sk0_14(empty_set)=empty_set|~spl0_114),
% 287.82/36.60 inference(resolution,[status(thm)],[f5936,f5158])).
% 287.82/36.60 fof(f5945,plain,(
% 287.82/36.60 ![X0]: (sk0_14(empty_set)=unaryUnion(singleton(X0))|sk0_17(sk0_14(empty_set),singleton(X0))=X0|~spl0_114)),
% 287.82/36.60 inference(resolution,[status(thm)],[f5936,f4555])).
% 287.82/36.60 fof(f5947,plain,(
% 287.82/36.60 ![X0]: (pd0_0(sk0_14(empty_set),singleton(X0))|sk0_20(sk0_14(empty_set),singleton(X0))=X0|~spl0_114)),
% 287.82/36.60 inference(resolution,[status(thm)],[f5936,f5081])).
% 287.82/36.60 fof(f5950,plain,(
% 287.82/36.60 ![X0]: (pd0_0(singleton(X0),sk0_14(empty_set))|sk0_21(singleton(X0),sk0_14(empty_set))=X0|~spl0_114)),
% 287.82/36.60 inference(resolution,[status(thm)],[f5936,f5097])).
% 287.82/36.60 fof(f6037,plain,(
% 287.82/36.60 ![X0]: (singleton(X0)=unaryUnion(empty_set)|sk0_16(singleton(X0),sk0_14(empty_set))=X0|~spl0_114)),
% 287.82/36.60 inference(forward_demodulation,[status(thm)],[f5944,f5941])).
% 287.82/36.60 fof(f6038,plain,(
% 287.82/36.60 ![X0]: (singleton(X0)=empty_set|sk0_16(singleton(X0),sk0_14(empty_set))=X0|~spl0_114)),
% 287.82/36.60 inference(forward_demodulation,[status(thm)],[f4886,f6037])).
% 287.82/36.60 fof(f6039,plain,(
% 287.82/36.60 ![X0]: (singleton(X0)=empty_set|sk0_16(singleton(X0),empty_set)=X0|~spl0_114)),
% 287.82/36.60 inference(forward_demodulation,[status(thm)],[f5944,f6038])).
% 287.82/36.60 fof(f6202,plain,(
% 287.82/36.60 member(singleton(power_set(product(empty_set))),power_set(power_set(empty_set)))|~spl0_84),
% 287.82/36.60 inference(resolution,[status(thm)],[f4293,f2779])).
% 287.82/36.60 fof(f6203,plain,(
% 287.82/36.60 spl0_35|~spl0_84),
% 287.82/36.60 inference(split_clause,[status(thm)],[f6202,f2497,f4292])).
% 287.82/36.60 fof(f6208,plain,(
% 287.82/36.60 spl0_122 <=> subset(singleton(product(empty_set)),power_set(power_set(empty_set)))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f6209,plain,(
% 287.82/36.60 subset(singleton(product(empty_set)),power_set(power_set(empty_set)))|~spl0_122),
% 287.82/36.60 inference(component_clause,[status(thm)],[f6208])).
% 287.82/36.60 fof(f6213,plain,(
% 287.82/36.60 spl0_123 <=> member(product(empty_set),power_set(power_set(empty_set)))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f6216,plain,(
% 287.82/36.60 subset(singleton(product(empty_set)),power_set(power_set(empty_set)))|~member(product(empty_set),power_set(power_set(empty_set)))|spl0_33),
% 287.82/36.60 inference(paramodulation,[status(thm)],[f4574,f28])).
% 287.82/36.60 fof(f6217,plain,(
% 287.82/36.60 spl0_122|~spl0_123|spl0_33),
% 287.82/36.60 inference(split_clause,[status(thm)],[f6216,f6208,f6213,f2471])).
% 287.82/36.60 fof(f6230,plain,(
% 287.82/36.60 member(product(empty_set),power_set(power_set(empty_set)))|~spl0_122),
% 287.82/36.60 inference(resolution,[status(thm)],[f6209,f2779])).
% 287.82/36.60 fof(f6237,plain,(
% 287.82/36.60 subset(product(empty_set),power_set(empty_set))|~spl0_122),
% 287.82/36.60 inference(resolution,[status(thm)],[f6230,f36])).
% 287.82/36.60 fof(f6238,plain,(
% 287.82/36.60 $false|spl0_33|~spl0_122),
% 287.82/36.60 inference(forward_subsumption_resolution,[status(thm)],[f6237,f4328])).
% 287.82/36.60 fof(f6239,plain,(
% 287.82/36.60 spl0_33|~spl0_122),
% 287.82/36.60 inference(contradiction_clause,[status(thm)],[f6238])).
% 287.82/36.60 fof(f6244,plain,(
% 287.82/36.60 spl0_126 <=> subset(singleton(product(empty_set)),power_set(singleton(empty_set)))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f6245,plain,(
% 287.82/36.60 subset(singleton(product(empty_set)),power_set(singleton(empty_set)))|~spl0_126),
% 287.82/36.60 inference(component_clause,[status(thm)],[f6244])).
% 287.82/36.60 fof(f6249,plain,(
% 287.82/36.60 spl0_127 <=> member(product(empty_set),power_set(singleton(empty_set)))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f6252,plain,(
% 287.82/36.60 subset(singleton(product(empty_set)),power_set(singleton(empty_set)))|~member(product(empty_set),power_set(singleton(empty_set)))|spl0_10),
% 287.82/36.60 inference(paramodulation,[status(thm)],[f4578,f28])).
% 287.82/36.60 fof(f6253,plain,(
% 287.82/36.60 spl0_126|~spl0_127|spl0_10),
% 287.82/36.60 inference(split_clause,[status(thm)],[f6252,f6244,f6249,f457])).
% 287.82/36.60 fof(f6256,plain,(
% 287.82/36.60 member(product(empty_set),power_set(singleton(empty_set)))|~spl0_126),
% 287.82/36.60 inference(resolution,[status(thm)],[f6245,f2779])).
% 287.82/36.60 fof(f6266,plain,(
% 287.82/36.60 subset(product(empty_set),singleton(empty_set))|~spl0_126),
% 287.82/36.60 inference(resolution,[status(thm)],[f6256,f36])).
% 287.82/36.60 fof(f6267,plain,(
% 287.82/36.60 $false|spl0_10|~spl0_126),
% 287.82/36.60 inference(forward_subsumption_resolution,[status(thm)],[f6266,f4330])).
% 287.82/36.60 fof(f6268,plain,(
% 287.82/36.60 spl0_10|~spl0_126),
% 287.82/36.60 inference(contradiction_clause,[status(thm)],[f6267])).
% 287.82/36.60 fof(f6306,plain,(
% 287.82/36.60 ![X0]: (empty_set=unaryUnion(singleton(X0))|sk0_17(sk0_14(empty_set),singleton(X0))=X0|~spl0_114)),
% 287.82/36.60 inference(forward_demodulation,[status(thm)],[f5944,f5945])).
% 287.82/36.60 fof(f6307,plain,(
% 287.82/36.60 ![X0]: (empty_set=unaryUnion(singleton(X0))|sk0_17(empty_set,singleton(X0))=X0|~spl0_114)),
% 287.82/36.60 inference(forward_demodulation,[status(thm)],[f5944,f6306])).
% 287.82/36.60 fof(f6310,plain,(
% 287.82/36.60 ![X0]: (pd0_0(empty_set,singleton(X0))|sk0_20(sk0_14(empty_set),singleton(X0))=X0|~spl0_114)),
% 287.82/36.60 inference(forward_demodulation,[status(thm)],[f5944,f5947])).
% 287.82/36.60 fof(f6311,plain,(
% 287.82/36.60 ![X0]: (pd0_0(empty_set,singleton(X0))|sk0_20(empty_set,singleton(X0))=X0|~spl0_114)),
% 287.82/36.60 inference(forward_demodulation,[status(thm)],[f5944,f6310])).
% 287.82/36.60 fof(f6314,plain,(
% 287.82/36.60 ![X0,X1]: (sk0_20(empty_set,singleton(X0))=X0|~member(X1,singleton(X0))|subset(X1,empty_set)|~spl0_114)),
% 287.82/36.60 inference(resolution,[status(thm)],[f6311,f151])).
% 287.82/36.60 fof(f6317,plain,(
% 287.82/36.60 ![X0]: (pd0_0(singleton(X0),empty_set)|sk0_21(singleton(X0),sk0_14(empty_set))=X0|~spl0_114)),
% 287.82/36.60 inference(forward_demodulation,[status(thm)],[f5944,f5950])).
% 287.82/36.60 fof(f6318,plain,(
% 287.82/36.60 ![X0]: (pd0_0(singleton(X0),empty_set)|sk0_21(singleton(X0),empty_set)=X0|~spl0_114)),
% 287.82/36.60 inference(forward_demodulation,[status(thm)],[f5944,f6317])).
% 287.82/36.60 fof(f6319,plain,(
% 287.82/36.60 sk0_21(singleton(power_set(empty_set)),empty_set)=power_set(empty_set)|~spl0_114|spl0_112),
% 287.82/36.60 inference(resolution,[status(thm)],[f6318,f5705])).
% 287.82/36.60 fof(f6325,plain,(
% 287.82/36.60 ![X0,X1]: (sk0_21(singleton(X0),empty_set)=X0|~member(X1,singleton(X0))|member(sk0_19(X1,singleton(X0),empty_set),empty_set)|~spl0_114)),
% 287.82/36.60 inference(resolution,[status(thm)],[f6318,f152])).
% 287.82/36.60 fof(f6326,plain,(
% 287.82/36.60 ![X0,X1]: (sk0_21(singleton(X0),empty_set)=X0|~member(X1,singleton(X0))|~spl0_114)),
% 287.82/36.60 inference(forward_subsumption_resolution,[status(thm)],[f6325,f48])).
% 287.82/36.60 fof(f6403,plain,(
% 287.82/36.60 spl0_131 <=> member(sk0_5(empty_set,empty_set),empty_set)),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f6404,plain,(
% 287.82/36.60 member(sk0_5(empty_set,empty_set),empty_set)|~spl0_131),
% 287.82/36.60 inference(component_clause,[status(thm)],[f6403])).
% 287.82/36.60 fof(f6408,plain,(
% 287.82/36.60 $false|~spl0_131),
% 287.82/36.60 inference(forward_subsumption_resolution,[status(thm)],[f6404,f48])).
% 287.82/36.60 fof(f6409,plain,(
% 287.82/36.60 ~spl0_131),
% 287.82/36.60 inference(contradiction_clause,[status(thm)],[f6408])).
% 287.82/36.60 fof(f6413,plain,(
% 287.82/36.60 spl0_132 <=> member(sk0_4(empty_set,empty_set),empty_set)),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f6414,plain,(
% 287.82/36.60 member(sk0_4(empty_set,empty_set),empty_set)|~spl0_132),
% 287.82/36.60 inference(component_clause,[status(thm)],[f6413])).
% 287.82/36.60 fof(f6418,plain,(
% 287.82/36.60 $false|~spl0_132),
% 287.82/36.60 inference(forward_subsumption_resolution,[status(thm)],[f6414,f48])).
% 287.82/36.60 fof(f6419,plain,(
% 287.82/36.60 ~spl0_132),
% 287.82/36.60 inference(contradiction_clause,[status(thm)],[f6418])).
% 287.82/36.60 fof(f6422,plain,(
% 287.82/36.60 pd0_0(singleton(power_set(empty_set)),empty_set)|member(power_set(empty_set),singleton(power_set(empty_set)))|~spl0_114|spl0_112),
% 287.82/36.60 inference(paramodulation,[status(thm)],[f6319,f5086])).
% 287.82/36.60 fof(f6423,plain,(
% 287.82/36.60 spl0_112|spl0_44|~spl0_114),
% 287.82/36.60 inference(split_clause,[status(thm)],[f6422,f5703,f3028,f5919])).
% 287.82/36.60 fof(f6455,plain,(
% 287.82/36.60 ![X0]: (sk0_21(singleton(X0),empty_set)=X0|~spl0_114)),
% 287.82/36.60 inference(resolution,[status(thm)],[f6326,f179])).
% 287.82/36.60 fof(f6498,plain,(
% 287.82/36.60 ![X0]: (sk0_20(empty_set,singleton(X0))=X0|subset(X0,empty_set)|~spl0_114)),
% 287.82/36.60 inference(resolution,[status(thm)],[f6314,f179])).
% 287.82/36.60 fof(f6788,plain,(
% 287.82/36.60 ![X0]: (sk0_0(intersection(power_set(empty_set),X0),singleton(power_set(product(empty_set))))=power_set(product(empty_set))|spl0_33)),
% 287.82/36.60 inference(resolution,[status(thm)],[f2535,f2473])).
% 287.82/36.60 fof(f6949,plain,(
% 287.82/36.60 ![X0,X1]: (~member(X0,unaryUnion(singleton(X1)))|sk0_15(X0,unaryUnion(singleton(X1)),singleton(X1))=X1)),
% 287.82/36.60 inference(resolution,[status(thm)],[f183,f56])).
% 287.82/36.60 fof(f6978,plain,(
% 287.82/36.60 ![X0]: (sk0_20(empty_set,singleton(singleton(X0)))=singleton(X0)|member(X0,empty_set)|~spl0_114)),
% 287.82/36.60 inference(resolution,[status(thm)],[f6498,f2779])).
% 287.82/36.60 fof(f6979,plain,(
% 287.82/36.60 ![X0]: (sk0_20(empty_set,singleton(singleton(X0)))=singleton(X0)|~spl0_114)),
% 287.82/36.60 inference(forward_subsumption_resolution,[status(thm)],[f6978,f48])).
% 287.82/36.60 fof(f6982,plain,(
% 287.82/36.60 spl0_136 <=> sk0_20(empty_set,singleton(power_set(product(empty_set))))=power_set(product(empty_set))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f6985,plain,(
% 287.82/36.60 spl0_137 <=> member(X0,empty_set)),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f6986,plain,(
% 287.82/36.60 ![X0]: (member(X0,empty_set)|~spl0_137)),
% 287.82/36.60 inference(component_clause,[status(thm)],[f6985])).
% 287.82/36.60 fof(f6988,plain,(
% 287.82/36.60 ![X0]: (sk0_20(empty_set,singleton(power_set(product(empty_set))))=power_set(product(empty_set))|member(X0,empty_set)|~spl0_114)),
% 287.82/36.60 inference(resolution,[status(thm)],[f6498,f2800])).
% 287.82/36.60 fof(f6989,plain,(
% 287.82/36.60 spl0_136|spl0_137|~spl0_114),
% 287.82/36.60 inference(split_clause,[status(thm)],[f6988,f6982,f6985,f5919])).
% 287.82/36.60 fof(f6993,plain,(
% 287.82/36.60 spl0_138 <=> sk0_20(empty_set,singleton(product(empty_set)))=product(empty_set)),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f6996,plain,(
% 287.82/36.60 ![X0]: (sk0_20(empty_set,singleton(product(empty_set)))=product(empty_set)|member(X0,empty_set)|~spl0_114)),
% 287.82/36.60 inference(resolution,[status(thm)],[f6498,f2778])).
% 287.82/36.60 fof(f6997,plain,(
% 287.82/36.60 spl0_138|spl0_137|~spl0_114),
% 287.82/36.60 inference(split_clause,[status(thm)],[f6996,f6993,f6985,f5919])).
% 287.82/36.60 fof(f6998,plain,(
% 287.82/36.60 spl0_139 <=> subset(X0,empty_set)),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f6999,plain,(
% 287.82/36.60 ![X0]: (subset(X0,empty_set)|~spl0_139)),
% 287.82/36.60 inference(component_clause,[status(thm)],[f6998])).
% 287.82/36.60 fof(f7003,plain,(
% 287.82/36.60 ![X0,X1]: (sk0_20(empty_set,singleton(X0))=X0|~member(X1,X0)|~spl0_114)),
% 287.82/36.60 inference(resolution,[status(thm)],[f6498,f5018])).
% 287.82/36.60 fof(f7009,plain,(
% 287.82/36.60 $false|~spl0_137),
% 287.82/36.60 inference(forward_subsumption_resolution,[status(thm)],[f6986,f48])).
% 287.82/36.60 fof(f7010,plain,(
% 287.82/36.60 ~spl0_137),
% 287.82/36.60 inference(contradiction_clause,[status(thm)],[f7009])).
% 287.82/36.60 fof(f7011,plain,(
% 287.82/36.60 $false|~spl0_139|spl0_86),
% 287.82/36.60 inference(backward_subsumption_resolution,[status(thm)],[f4302,f6999])).
% 287.82/36.60 fof(f7012,plain,(
% 287.82/36.60 ~spl0_139|spl0_86),
% 287.82/36.60 inference(contradiction_clause,[status(thm)],[f7011])).
% 287.82/36.60 fof(f7025,plain,(
% 287.82/36.60 ![X0,X1]: (sk0_20(empty_set,singleton(X0))=X0|~member(X1,unaryUnion(X0))|~spl0_114)),
% 287.82/36.60 inference(resolution,[status(thm)],[f7003,f183])).
% 287.82/36.60 fof(f7033,plain,(
% 287.82/36.60 ![X0,X1]: (sk0_20(empty_set,singleton(X0))=X0|member(X1,product(X0))|~spl0_114)),
% 287.82/36.60 inference(resolution,[status(thm)],[f7003,f74])).
% 287.82/36.60 fof(f7034,plain,(
% 287.82/36.60 ![X0,X1]: (sk0_20(empty_set,singleton(X0))=X0|~member(X1,sum(X0))|~spl0_114)),
% 287.82/36.60 inference(resolution,[status(thm)],[f7003,f66])).
% 287.82/36.60 fof(f7037,plain,(
% 287.82/36.60 ![X0,X1]: (sk0_20(empty_set,singleton(X0))=X0|subset(X0,X1)|~spl0_114)),
% 287.82/36.60 inference(resolution,[status(thm)],[f7003,f27])).
% 287.82/36.60 fof(f7038,plain,(
% 287.82/36.60 ![X0]: (sk0_20(empty_set,singleton(power_set(X0)))=power_set(X0)|~spl0_114)),
% 287.82/36.60 inference(resolution,[status(thm)],[f7003,f5398])).
% 287.82/36.60 fof(f7039,plain,(
% 287.82/36.60 ![X0]: (sk0_20(empty_set,singleton(X0))=X0|X0=empty_set|~spl0_114)),
% 287.82/36.60 inference(resolution,[status(thm)],[f7003,f5158])).
% 287.82/36.60 fof(f7120,plain,(
% 287.82/36.60 ![X0,X1]: (sk0_20(empty_set,singleton(X0))=X0|member(X0,power_set(X1))|~spl0_114)),
% 287.82/36.60 inference(resolution,[status(thm)],[f7037,f37])).
% 287.82/36.60 fof(f7175,plain,(
% 287.82/36.60 spl0_141 <=> ~member(X1,empty_set)|~member(X2,empty_set)|~member(X3,X1)|~member(X3,X2)|X1=X2),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f7180,plain,(
% 287.82/36.60 spl0_142 <=> non_overlapping(empty_set)),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f7241,plain,(
% 287.82/36.60 spl0_150 <=> empty_set=unaryUnion(singleton(empty_set))),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f7242,plain,(
% 287.82/36.60 empty_set=unaryUnion(singleton(empty_set))|~spl0_150),
% 287.82/36.60 inference(component_clause,[status(thm)],[f7241])).
% 287.82/36.60 fof(f7247,plain,(
% 287.82/36.60 spl0_151 <=> subset(sk0_16(singleton(empty_set),empty_set),empty_set)),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f7253,plain,(
% 287.82/36.60 spl0_152 <=> subset(sk0_21(singleton(empty_set),empty_set),empty_set)),
% 287.82/36.60 introduced(split_symbol_definition)).
% 287.82/36.60 fof(f7256,plain,(
% 287.82/36.60 spl0_153 <=> pd0_0(singleton(empty_set),empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f7257,plain,(
% 287.82/36.61 pd0_0(singleton(empty_set),empty_set)|~spl0_153),
% 287.82/36.61 inference(component_clause,[status(thm)],[f7256])).
% 287.82/36.61 fof(f7258,plain,(
% 287.82/36.61 ~pd0_0(singleton(empty_set),empty_set)|spl0_153),
% 287.82/36.61 inference(component_clause,[status(thm)],[f7256])).
% 287.82/36.61 fof(f7284,plain,(
% 287.82/36.61 spl0_156 <=> partition(empty_set,singleton(empty_set))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f7285,plain,(
% 287.82/36.61 partition(empty_set,singleton(empty_set))|~spl0_156),
% 287.82/36.61 inference(component_clause,[status(thm)],[f7284])).
% 287.82/36.61 fof(f7292,plain,(
% 287.82/36.61 spl0_158 <=> member(sk0_4(singleton(empty_set),empty_set),empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f7293,plain,(
% 287.82/36.61 member(sk0_4(singleton(empty_set),empty_set),empty_set)|~spl0_158),
% 287.82/36.61 inference(component_clause,[status(thm)],[f7292])).
% 287.82/36.61 fof(f7297,plain,(
% 287.82/36.61 spl0_159 <=> member(sk0_5(singleton(empty_set),empty_set),empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f7298,plain,(
% 287.82/36.61 member(sk0_5(singleton(empty_set),empty_set),empty_set)|~spl0_159),
% 287.82/36.61 inference(component_clause,[status(thm)],[f7297])).
% 287.82/36.61 fof(f7314,plain,(
% 287.82/36.61 ![X0]: (~member(X0,singleton(empty_set))|member(sk0_19(X0,singleton(empty_set),empty_set),empty_set)|~spl0_153)),
% 287.82/36.61 inference(resolution,[status(thm)],[f7257,f152])).
% 287.82/36.61 fof(f7315,plain,(
% 287.82/36.61 ![X0]: (~member(X0,singleton(empty_set))|~spl0_153)),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f7314,f48])).
% 287.82/36.61 fof(f7316,plain,(
% 287.82/36.61 $false|~spl0_159),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f7298,f48])).
% 287.82/36.61 fof(f7317,plain,(
% 287.82/36.61 ~spl0_159),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f7316])).
% 287.82/36.61 fof(f7318,plain,(
% 287.82/36.61 $false|~spl0_158),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f7293,f48])).
% 287.82/36.61 fof(f7319,plain,(
% 287.82/36.61 ~spl0_158),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f7318])).
% 287.82/36.61 fof(f7337,plain,(
% 287.82/36.61 $false|~spl0_153),
% 287.82/36.61 inference(resolution,[status(thm)],[f7315,f179])).
% 287.82/36.61 fof(f7338,plain,(
% 287.82/36.61 ~spl0_153),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f7337])).
% 287.82/36.61 fof(f7644,plain,(
% 287.82/36.61 ![X0,X1]: (member(X0,empty_set)|~member(X0,X1)|~member(X1,singleton(empty_set))|~spl0_150)),
% 287.82/36.61 inference(paramodulation,[status(thm)],[f7242,f184])).
% 287.82/36.61 fof(f7645,plain,(
% 287.82/36.61 ![X0,X1]: (~member(X0,X1)|~member(X1,singleton(empty_set))|~spl0_150)),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f7644,f48])).
% 287.82/36.61 fof(f7650,plain,(
% 287.82/36.61 ![X0]: (~member(X0,singleton(empty_set))|member(sk0_19(X0,singleton(empty_set),empty_set),empty_set)|~spl0_156)),
% 287.82/36.61 inference(resolution,[status(thm)],[f7285,f5072])).
% 287.82/36.61 fof(f7651,plain,(
% 287.82/36.61 ![X0]: (~member(X0,singleton(empty_set))|~spl0_156)),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f7650,f48])).
% 287.82/36.61 fof(f7673,plain,(
% 287.82/36.61 $false|~spl0_156),
% 287.82/36.61 inference(resolution,[status(thm)],[f7651,f179])).
% 287.82/36.61 fof(f7674,plain,(
% 287.82/36.61 ~spl0_156),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f7673])).
% 287.82/36.61 fof(f7695,plain,(
% 287.82/36.61 spl0_167 <=> ~member(X0,sk0_16(singleton(empty_set),empty_set))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f7696,plain,(
% 287.82/36.61 ![X0]: (~member(X0,sk0_16(singleton(empty_set),empty_set))|~spl0_167)),
% 287.82/36.61 inference(component_clause,[status(thm)],[f7695])).
% 287.82/36.61 fof(f7698,plain,(
% 287.82/36.61 ![X0]: (~member(X0,sk0_16(singleton(empty_set),empty_set))|singleton(empty_set)=empty_set|~spl0_150)),
% 287.82/36.61 inference(resolution,[status(thm)],[f7645,f5158])).
% 287.82/36.61 fof(f7699,plain,(
% 287.82/36.61 spl0_167|spl0_66|~spl0_150),
% 287.82/36.61 inference(split_clause,[status(thm)],[f7698,f7695,f3425,f7241])).
% 287.82/36.61 fof(f7701,plain,(
% 287.82/36.61 spl0_168 <=> ~member(X0,sk0_21(singleton(empty_set),empty_set))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f7704,plain,(
% 287.82/36.61 ![X0]: (~member(X0,sk0_21(singleton(empty_set),empty_set))|pd0_0(singleton(empty_set),empty_set)|~spl0_150)),
% 287.82/36.61 inference(resolution,[status(thm)],[f7645,f5086])).
% 287.82/36.61 fof(f7705,plain,(
% 287.82/36.61 spl0_168|spl0_153|~spl0_150),
% 287.82/36.61 inference(split_clause,[status(thm)],[f7704,f7701,f7256,f7241])).
% 287.82/36.61 fof(f7727,plain,(
% 287.82/36.61 ![X0]: (member(X0,product(sk0_16(singleton(empty_set),empty_set)))|~spl0_167)),
% 287.82/36.61 inference(resolution,[status(thm)],[f7696,f74])).
% 287.82/36.61 fof(f7732,plain,(
% 287.82/36.61 sk0_16(singleton(empty_set),empty_set)=empty_set|~spl0_167),
% 287.82/36.61 inference(resolution,[status(thm)],[f7696,f5158])).
% 287.82/36.61 fof(f7748,plain,(
% 287.82/36.61 spl0_170 <=> ~member(X0,empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f7812,plain,(
% 287.82/36.61 spl0_171 <=> subset(empty_set,empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f7814,plain,(
% 287.82/36.61 ~subset(empty_set,empty_set)|spl0_171),
% 287.82/36.61 inference(component_clause,[status(thm)],[f7812])).
% 287.82/36.61 fof(f7949,plain,(
% 287.82/36.61 spl0_174 <=> product(empty_set)=empty_set),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f7950,plain,(
% 287.82/36.61 product(empty_set)=empty_set|~spl0_174),
% 287.82/36.61 inference(component_clause,[status(thm)],[f7949])).
% 287.82/36.61 fof(f7951,plain,(
% 287.82/36.61 ~product(empty_set)=empty_set|spl0_174),
% 287.82/36.61 inference(component_clause,[status(thm)],[f7949])).
% 287.82/36.61 fof(f7956,plain,(
% 287.82/36.61 spl0_175 <=> power_set(product(empty_set))=empty_set),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f7957,plain,(
% 287.82/36.61 power_set(product(empty_set))=empty_set|~spl0_175),
% 287.82/36.61 inference(component_clause,[status(thm)],[f7956])).
% 287.82/36.61 fof(f8116,plain,(
% 287.82/36.61 ~subset(empty_set,empty_set)|~spl0_174|spl0_76),
% 287.82/36.61 inference(backward_demodulation,[status(thm)],[f7950,f4213])).
% 287.82/36.61 fof(f8117,plain,(
% 287.82/36.61 $false|~spl0_174|spl0_76),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f8116,f186])).
% 287.82/36.61 fof(f8118,plain,(
% 287.82/36.61 ~spl0_174|spl0_76),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f8117])).
% 287.82/36.61 fof(f8139,plain,(
% 287.82/36.61 member(empty_set,empty_set)|~spl0_175),
% 287.82/36.61 inference(paramodulation,[status(thm)],[f7957,f5398])).
% 287.82/36.61 fof(f8140,plain,(
% 287.82/36.61 $false|~spl0_175),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f8139,f48])).
% 287.82/36.61 fof(f8141,plain,(
% 287.82/36.61 ~spl0_175),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f8140])).
% 287.82/36.61 fof(f8215,plain,(
% 287.82/36.61 ![X0]: (member(X0,product(empty_set))|~spl0_167)),
% 287.82/36.61 inference(forward_demodulation,[status(thm)],[f7732,f7727])).
% 287.82/36.61 fof(f8217,plain,(
% 287.82/36.61 ![X0]: (subset(X0,product(empty_set))|~spl0_167)),
% 287.82/36.61 inference(resolution,[status(thm)],[f8215,f28])).
% 287.82/36.61 fof(f8230,plain,(
% 287.82/36.61 ![X0]: (member(X0,power_set(product(empty_set)))|~spl0_167)),
% 287.82/36.61 inference(resolution,[status(thm)],[f8217,f37])).
% 287.82/36.61 fof(f8490,plain,(
% 287.82/36.61 spl0_178 <=> singleton(empty_set)=unaryUnion(empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f8491,plain,(
% 287.82/36.61 singleton(empty_set)=unaryUnion(empty_set)|~spl0_178),
% 287.82/36.61 inference(component_clause,[status(thm)],[f8490])).
% 287.82/36.61 fof(f8493,plain,(
% 287.82/36.61 spl0_179 <=> member(sk0_17(singleton(empty_set),empty_set),empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f8494,plain,(
% 287.82/36.61 member(sk0_17(singleton(empty_set),empty_set),empty_set)|~spl0_179),
% 287.82/36.61 inference(component_clause,[status(thm)],[f8493])).
% 287.82/36.61 fof(f8503,plain,(
% 287.82/36.61 $false|~spl0_179),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f8494,f48])).
% 287.82/36.61 fof(f8504,plain,(
% 287.82/36.61 ~spl0_179),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f8503])).
% 287.82/36.61 fof(f8505,plain,(
% 287.82/36.61 singleton(empty_set)=empty_set|~spl0_178),
% 287.82/36.61 inference(forward_demodulation,[status(thm)],[f4886,f8491])).
% 287.82/36.61 fof(f8506,plain,(
% 287.82/36.61 $false|spl0_66|~spl0_178),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f8505,f3427])).
% 287.82/36.61 fof(f8507,plain,(
% 287.82/36.61 spl0_66|~spl0_178),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f8506])).
% 287.82/36.61 fof(f8524,plain,(
% 287.82/36.61 ![X0]: (empty_set=unaryUnion(singleton(X0))|member(sk0_16(empty_set,singleton(X0)),empty_set)|member(sk0_16(empty_set,singleton(X0)),X0)|empty_set=unaryUnion(singleton(X0))|~spl0_114)),
% 287.82/36.61 inference(paramodulation,[status(thm)],[f6307,f142])).
% 287.82/36.61 fof(f8525,plain,(
% 287.82/36.61 ![X0]: (empty_set=unaryUnion(singleton(X0))|member(sk0_16(empty_set,singleton(X0)),empty_set)|member(sk0_16(empty_set,singleton(X0)),X0)|~spl0_114)),
% 287.82/36.61 inference(duplicate_literals_removal,[status(esa)],[f8524])).
% 287.82/36.61 fof(f8526,plain,(
% 287.82/36.61 ![X0]: (empty_set=unaryUnion(singleton(X0))|member(sk0_16(empty_set,singleton(X0)),X0)|~spl0_114)),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f8525,f48])).
% 287.82/36.61 fof(f8551,plain,(
% 287.82/36.61 spl0_182 <=> ~member(sk0_16(singleton(empty_set),empty_set),X0)|~member(X0,empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f8554,plain,(
% 287.82/36.61 ![X0]: (singleton(empty_set)=unaryUnion(empty_set)|~member(empty_set,singleton(empty_set))|~member(sk0_16(singleton(empty_set),empty_set),X0)|~member(X0,empty_set)|~spl0_167)),
% 287.82/36.61 inference(paramodulation,[status(thm)],[f7732,f141])).
% 287.82/36.61 fof(f8555,plain,(
% 287.82/36.61 spl0_178|~spl0_4|spl0_182|~spl0_167),
% 287.82/36.61 inference(split_clause,[status(thm)],[f8554,f8490,f393,f8551,f7695])).
% 287.82/36.61 fof(f8592,plain,(
% 287.82/36.61 spl0_184 <=> empty_set=unaryUnion(singleton(singleton(empty_set)))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f8593,plain,(
% 287.82/36.61 empty_set=unaryUnion(singleton(singleton(empty_set)))|~spl0_184),
% 287.82/36.61 inference(component_clause,[status(thm)],[f8592])).
% 287.82/36.61 fof(f8594,plain,(
% 287.82/36.61 ~empty_set=unaryUnion(singleton(singleton(empty_set)))|spl0_184),
% 287.82/36.61 inference(component_clause,[status(thm)],[f8592])).
% 287.82/36.61 fof(f8595,plain,(
% 287.82/36.61 spl0_185 <=> ~member(X0,sk0_16(empty_set,singleton(singleton(empty_set))))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f8596,plain,(
% 287.82/36.61 ![X0]: (~member(X0,sk0_16(empty_set,singleton(singleton(empty_set))))|~spl0_185)),
% 287.82/36.61 inference(component_clause,[status(thm)],[f8595])).
% 287.82/36.61 fof(f8598,plain,(
% 287.82/36.61 ![X0]: (empty_set=unaryUnion(singleton(singleton(empty_set)))|~member(X0,sk0_16(empty_set,singleton(singleton(empty_set))))|~spl0_114|~spl0_150)),
% 287.82/36.61 inference(resolution,[status(thm)],[f8526,f7645])).
% 287.82/36.61 fof(f8599,plain,(
% 287.82/36.61 spl0_184|spl0_185|~spl0_114|~spl0_150),
% 287.82/36.61 inference(split_clause,[status(thm)],[f8598,f8592,f8595,f5919,f7241])).
% 287.82/36.61 fof(f8600,plain,(
% 287.82/36.61 spl0_186 <=> subset(sk0_16(empty_set,singleton(singleton(empty_set))),empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f8625,plain,(
% 287.82/36.61 ![X0,X1]: (member(X0,empty_set)|~member(X0,X1)|~member(X1,singleton(singleton(empty_set)))|~spl0_184)),
% 287.82/36.61 inference(paramodulation,[status(thm)],[f8593,f184])).
% 287.82/36.61 fof(f8626,plain,(
% 287.82/36.61 ![X0,X1]: (~member(X0,X1)|~member(X1,singleton(singleton(empty_set)))|~spl0_184)),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f8625,f48])).
% 287.82/36.61 fof(f8683,plain,(
% 287.82/36.61 sk0_16(empty_set,singleton(singleton(empty_set)))=empty_set|~spl0_185),
% 287.82/36.61 inference(resolution,[status(thm)],[f8596,f5158])).
% 287.82/36.61 fof(f8703,plain,(
% 287.82/36.61 spl0_187 <=> member(empty_set,empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f8704,plain,(
% 287.82/36.61 member(empty_set,empty_set)|~spl0_187),
% 287.82/36.61 inference(component_clause,[status(thm)],[f8703])).
% 287.82/36.61 fof(f8706,plain,(
% 287.82/36.61 spl0_188 <=> sk0_17(empty_set,singleton(singleton(empty_set)))=singleton(empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f8707,plain,(
% 287.82/36.61 sk0_17(empty_set,singleton(singleton(empty_set)))=singleton(empty_set)|~spl0_188),
% 287.82/36.61 inference(component_clause,[status(thm)],[f8706])).
% 287.82/36.61 fof(f8709,plain,(
% 287.82/36.61 empty_set=unaryUnion(singleton(singleton(empty_set)))|member(empty_set,empty_set)|sk0_17(empty_set,singleton(singleton(empty_set)))=singleton(empty_set)|~spl0_185),
% 287.82/36.61 inference(paramodulation,[status(thm)],[f8683,f4555])).
% 287.82/36.61 fof(f8710,plain,(
% 287.82/36.61 spl0_184|spl0_187|spl0_188|~spl0_185),
% 287.82/36.61 inference(split_clause,[status(thm)],[f8709,f8592,f8703,f8706,f8595])).
% 287.82/36.61 fof(f8711,plain,(
% 287.82/36.61 spl0_189 <=> ~member(sk0_16(empty_set,singleton(singleton(empty_set))),X0)|~member(X0,singleton(singleton(empty_set)))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f8712,plain,(
% 287.82/36.61 ![X0]: (~member(sk0_16(empty_set,singleton(singleton(empty_set))),X0)|~member(X0,singleton(singleton(empty_set)))|~spl0_189)),
% 287.82/36.61 inference(component_clause,[status(thm)],[f8711])).
% 287.82/36.61 fof(f8716,plain,(
% 287.82/36.61 spl0_190 <=> member(sk0_16(empty_set,singleton(singleton(empty_set))),empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f8717,plain,(
% 287.82/36.61 member(sk0_16(empty_set,singleton(singleton(empty_set))),empty_set)|~spl0_190),
% 287.82/36.61 inference(component_clause,[status(thm)],[f8716])).
% 287.82/36.61 fof(f8719,plain,(
% 287.82/36.61 spl0_191 <=> member(empty_set,sk0_17(empty_set,singleton(singleton(empty_set))))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f8722,plain,(
% 287.82/36.61 empty_set=unaryUnion(singleton(singleton(empty_set)))|member(sk0_16(empty_set,singleton(singleton(empty_set))),empty_set)|member(empty_set,sk0_17(empty_set,singleton(singleton(empty_set))))|~spl0_185),
% 287.82/36.61 inference(paramodulation,[status(thm)],[f8683,f142])).
% 287.82/36.61 fof(f8723,plain,(
% 287.82/36.61 spl0_184|spl0_190|spl0_191|~spl0_185),
% 287.82/36.61 inference(split_clause,[status(thm)],[f8722,f8592,f8716,f8719,f8595])).
% 287.82/36.61 fof(f8724,plain,(
% 287.82/36.61 spl0_192 <=> member(sk0_17(empty_set,singleton(singleton(empty_set))),singleton(singleton(empty_set)))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f8727,plain,(
% 287.82/36.61 empty_set=unaryUnion(singleton(singleton(empty_set)))|member(empty_set,empty_set)|member(sk0_17(empty_set,singleton(singleton(empty_set))),singleton(singleton(empty_set)))|~spl0_185),
% 287.82/36.61 inference(paramodulation,[status(thm)],[f8683,f143])).
% 287.82/36.61 fof(f8728,plain,(
% 287.82/36.61 spl0_184|spl0_187|spl0_192|~spl0_185),
% 287.82/36.61 inference(split_clause,[status(thm)],[f8727,f8592,f8703,f8724,f8595])).
% 287.82/36.61 fof(f8729,plain,(
% 287.82/36.61 member(empty_set,empty_set)|~spl0_185|~spl0_190),
% 287.82/36.61 inference(forward_demodulation,[status(thm)],[f8683,f8717])).
% 287.82/36.61 fof(f8730,plain,(
% 287.82/36.61 $false|~spl0_185|~spl0_190),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f8729,f48])).
% 287.82/36.61 fof(f8731,plain,(
% 287.82/36.61 ~spl0_185|~spl0_190),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f8730])).
% 287.82/36.61 fof(f8732,plain,(
% 287.82/36.61 ![X0]: (~member(empty_set,X0)|~member(X0,singleton(singleton(empty_set)))|~spl0_185|~spl0_189)),
% 287.82/36.61 inference(forward_demodulation,[status(thm)],[f8683,f8712])).
% 287.82/36.61 fof(f8752,plain,(
% 287.82/36.61 spl0_195 <=> empty_set=unaryUnion(singleton(singleton(singleton(empty_set))))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f8753,plain,(
% 287.82/36.61 empty_set=unaryUnion(singleton(singleton(singleton(empty_set))))|~spl0_195),
% 287.82/36.61 inference(component_clause,[status(thm)],[f8752])).
% 287.82/36.61 fof(f8757,plain,(
% 287.82/36.61 spl0_196 <=> ~member(X0,sk0_16(singleton(singleton(empty_set)),empty_set))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f8758,plain,(
% 287.82/36.61 ![X0]: (~member(X0,sk0_16(singleton(singleton(empty_set)),empty_set))|~spl0_196)),
% 287.82/36.61 inference(component_clause,[status(thm)],[f8757])).
% 287.82/36.61 fof(f8760,plain,(
% 287.82/36.61 spl0_197 <=> singleton(singleton(empty_set))=empty_set),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f8761,plain,(
% 287.82/36.61 singleton(singleton(empty_set))=empty_set|~spl0_197),
% 287.82/36.61 inference(component_clause,[status(thm)],[f8760])).
% 287.82/36.61 fof(f8767,plain,(
% 287.82/36.61 spl0_198 <=> ~member(X0,sk0_21(singleton(singleton(empty_set)),empty_set))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f8768,plain,(
% 287.82/36.61 ![X0]: (~member(X0,sk0_21(singleton(singleton(empty_set)),empty_set))|~spl0_198)),
% 287.82/36.61 inference(component_clause,[status(thm)],[f8767])).
% 287.82/36.61 fof(f8770,plain,(
% 287.82/36.61 spl0_199 <=> pd0_0(singleton(singleton(empty_set)),empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f8771,plain,(
% 287.82/36.61 pd0_0(singleton(singleton(empty_set)),empty_set)|~spl0_199),
% 287.82/36.61 inference(component_clause,[status(thm)],[f8770])).
% 287.82/36.61 fof(f8790,plain,(
% 287.82/36.61 ![X0]: (~member(X0,singleton(empty_set))|~spl0_184)),
% 287.82/36.61 inference(resolution,[status(thm)],[f8626,f179])).
% 287.82/36.61 fof(f8796,plain,(
% 287.82/36.61 ![X0]: (~member(X0,singleton(empty_set))|~spl0_114|~spl0_198)),
% 287.82/36.61 inference(forward_demodulation,[status(thm)],[f6455,f8768])).
% 287.82/36.61 fof(f8822,plain,(
% 287.82/36.61 $false|~spl0_184),
% 287.82/36.61 inference(resolution,[status(thm)],[f8790,f179])).
% 287.82/36.61 fof(f8823,plain,(
% 287.82/36.61 ~spl0_184),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f8822])).
% 287.82/36.61 fof(f8824,plain,(
% 287.82/36.61 $false|~spl0_187),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f8704,f48])).
% 287.82/36.61 fof(f8825,plain,(
% 287.82/36.61 ~spl0_187),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f8824])).
% 287.82/36.61 fof(f8851,plain,(
% 287.82/36.61 $false|~spl0_114|~spl0_198),
% 287.82/36.61 inference(resolution,[status(thm)],[f8796,f179])).
% 287.82/36.61 fof(f8852,plain,(
% 287.82/36.61 ~spl0_114|~spl0_198),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f8851])).
% 287.82/36.61 fof(f8884,plain,(
% 287.82/36.61 ~subset(empty_set,singleton(empty_set))|~spl0_197|spl0_67),
% 287.82/36.61 inference(backward_demodulation,[status(thm)],[f8761,f3434])).
% 287.82/36.61 fof(f8885,plain,(
% 287.82/36.61 $false|~spl0_197|spl0_67),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f8884,f186])).
% 287.82/36.61 fof(f8886,plain,(
% 287.82/36.61 ~spl0_197|spl0_67),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f8885])).
% 287.82/36.61 fof(f8887,plain,(
% 287.82/36.61 spl0_202 <=> partition(singleton(singleton(empty_set)),empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f8888,plain,(
% 287.82/36.61 partition(singleton(singleton(empty_set)),empty_set)|~spl0_202),
% 287.82/36.61 inference(component_clause,[status(thm)],[f8887])).
% 287.82/36.61 fof(f8918,plain,(
% 287.82/36.61 spl0_208 <=> partition(empty_set,singleton(singleton(empty_set)))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f8919,plain,(
% 287.82/36.61 partition(empty_set,singleton(singleton(empty_set)))|~spl0_208),
% 287.82/36.61 inference(component_clause,[status(thm)],[f8918])).
% 287.82/36.61 fof(f8926,plain,(
% 287.82/36.61 spl0_210 <=> member(sk0_4(singleton(singleton(empty_set)),empty_set),empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f8927,plain,(
% 287.82/36.61 member(sk0_4(singleton(singleton(empty_set)),empty_set),empty_set)|~spl0_210),
% 287.82/36.61 inference(component_clause,[status(thm)],[f8926])).
% 287.82/36.61 fof(f8931,plain,(
% 287.82/36.61 spl0_211 <=> member(sk0_5(singleton(singleton(empty_set)),empty_set),empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f8932,plain,(
% 287.82/36.61 member(sk0_5(singleton(singleton(empty_set)),empty_set),empty_set)|~spl0_211),
% 287.82/36.61 inference(component_clause,[status(thm)],[f8931])).
% 287.82/36.61 fof(f8934,plain,(
% 287.82/36.61 partition(empty_set,singleton(singleton(empty_set)))|member(sk0_5(singleton(singleton(empty_set)),empty_set),empty_set)|~spl0_199),
% 287.82/36.61 inference(resolution,[status(thm)],[f8771,f92])).
% 287.82/36.61 fof(f8935,plain,(
% 287.82/36.61 spl0_208|spl0_211|~spl0_199),
% 287.82/36.61 inference(split_clause,[status(thm)],[f8934,f8918,f8931,f8770])).
% 287.82/36.61 fof(f8950,plain,(
% 287.82/36.61 $false|~spl0_211),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f8932,f48])).
% 287.82/36.61 fof(f8951,plain,(
% 287.82/36.61 ~spl0_211),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f8950])).
% 287.82/36.61 fof(f8952,plain,(
% 287.82/36.61 $false|~spl0_210),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f8927,f48])).
% 287.82/36.61 fof(f8953,plain,(
% 287.82/36.61 ~spl0_210),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f8952])).
% 287.82/36.61 fof(f8959,plain,(
% 287.82/36.61 ![X0]: (~member(X0,singleton(singleton(empty_set)))|subset(X0,empty_set)|~spl0_202)),
% 287.82/36.61 inference(resolution,[status(thm)],[f8888,f824])).
% 287.82/36.61 fof(f8967,plain,(
% 287.82/36.61 ![X0]: (~member(X0,singleton(singleton(empty_set)))|member(sk0_19(X0,singleton(singleton(empty_set)),empty_set),empty_set)|~spl0_208)),
% 287.82/36.61 inference(resolution,[status(thm)],[f8919,f5072])).
% 287.82/36.61 fof(f8968,plain,(
% 287.82/36.61 ![X0]: (~member(X0,singleton(singleton(empty_set)))|~spl0_208)),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f8967,f48])).
% 287.82/36.61 fof(f8993,plain,(
% 287.82/36.61 $false|~spl0_208),
% 287.82/36.61 inference(resolution,[status(thm)],[f8968,f179])).
% 287.82/36.61 fof(f8994,plain,(
% 287.82/36.61 ~spl0_208),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f8993])).
% 287.82/36.61 fof(f9168,plain,(
% 287.82/36.61 spl0_214 <=> product(empty_set)=unaryUnion(empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f9169,plain,(
% 287.82/36.61 product(empty_set)=unaryUnion(empty_set)|~spl0_214),
% 287.82/36.61 inference(component_clause,[status(thm)],[f9168])).
% 287.82/36.61 fof(f9171,plain,(
% 287.82/36.61 spl0_215 <=> member(product(empty_set),empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f9174,plain,(
% 287.82/36.61 product(empty_set)=unaryUnion(empty_set)|~member(product(empty_set),empty_set)|product(empty_set)=empty_set),
% 287.82/36.61 inference(resolution,[status(thm)],[f4538,f5158])).
% 287.82/36.61 fof(f9175,plain,(
% 287.82/36.61 spl0_214|~spl0_215|spl0_174),
% 287.82/36.61 inference(split_clause,[status(thm)],[f9174,f9168,f9171,f7949])).
% 287.82/36.61 fof(f9195,plain,(
% 287.82/36.61 ![X0]: (product(empty_set)=unaryUnion(X0)|~member(product(empty_set),X0)|~spl0_167)),
% 287.82/36.61 inference(resolution,[status(thm)],[f4538,f8215])).
% 287.82/36.61 fof(f9204,plain,(
% 287.82/36.61 product(empty_set)=empty_set|~spl0_214),
% 287.82/36.61 inference(forward_demodulation,[status(thm)],[f4886,f9169])).
% 287.82/36.61 fof(f9205,plain,(
% 287.82/36.61 $false|spl0_174|~spl0_214),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f9204,f7951])).
% 287.82/36.61 fof(f9206,plain,(
% 287.82/36.61 spl0_174|~spl0_214),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f9205])).
% 287.82/36.61 fof(f9350,plain,(
% 287.82/36.61 spl0_217 <=> X0=X1|X0=X2),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f9351,plain,(
% 287.82/36.61 ![X0,X1,X2]: (X0=X1|X0=X2|~spl0_217)),
% 287.82/36.61 inference(component_clause,[status(thm)],[f9350])).
% 287.82/36.61 fof(f9382,plain,(
% 287.82/36.61 ![X0,X1]: (subset(intersection(empty_set,X0),X1))),
% 287.82/36.61 inference(resolution,[status(thm)],[f192,f48])).
% 287.82/36.61 fof(f9411,plain,(
% 287.82/36.61 ![X0,X1]: (subset(intersection(X0,empty_set),X1))),
% 287.82/36.61 inference(resolution,[status(thm)],[f193,f48])).
% 287.82/36.61 fof(f9419,plain,(
% 287.82/36.61 $false|~spl0_217|spl0_184),
% 287.82/36.61 inference(resolution,[status(thm)],[f9351,f8594])).
% 287.82/36.61 fof(f9420,plain,(
% 287.82/36.61 ~spl0_217|spl0_184),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f9419])).
% 287.82/36.61 fof(f9495,plain,(
% 287.82/36.61 spl0_218 <=> ~member(X0,singleton(empty_set))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f9496,plain,(
% 287.82/36.61 ![X0]: (~member(X0,singleton(empty_set))|~spl0_218)),
% 287.82/36.61 inference(component_clause,[status(thm)],[f9495])).
% 287.82/36.61 fof(f9498,plain,(
% 287.82/36.61 ![X0]: (~member(X0,singleton(empty_set))|singleton(singleton(empty_set))=empty_set|~spl0_196|~spl0_114)),
% 287.82/36.61 inference(paramodulation,[status(thm)],[f6039,f8758])).
% 287.82/36.61 fof(f9499,plain,(
% 287.82/36.61 spl0_218|spl0_197|~spl0_196|~spl0_114),
% 287.82/36.61 inference(split_clause,[status(thm)],[f9498,f9495,f8760,f8757,f5919])).
% 287.82/36.61 fof(f9527,plain,(
% 287.82/36.61 $false|~spl0_218),
% 287.82/36.61 inference(resolution,[status(thm)],[f9496,f179])).
% 287.82/36.61 fof(f9528,plain,(
% 287.82/36.61 ~spl0_218),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f9527])).
% 287.82/36.61 fof(f9611,plain,(
% 287.82/36.61 ![X0,X1]: (~member(X0,intersection(empty_set,X1)))),
% 287.82/36.61 inference(resolution,[status(thm)],[f9382,f5018])).
% 287.82/36.61 fof(f9621,plain,(
% 287.82/36.61 ![X0,X1]: (~member(X0,intersection(X1,empty_set)))),
% 287.82/36.61 inference(resolution,[status(thm)],[f9411,f5018])).
% 287.82/36.61 fof(f9641,plain,(
% 287.82/36.61 ![X0]: (intersection(empty_set,X0)=empty_set)),
% 287.82/36.61 inference(resolution,[status(thm)],[f9611,f5158])).
% 287.82/36.61 fof(f9679,plain,(
% 287.82/36.61 ![X0]: (intersection(X0,empty_set)=empty_set)),
% 287.82/36.61 inference(resolution,[status(thm)],[f9621,f5158])).
% 287.82/36.61 fof(f9810,plain,(
% 287.82/36.61 ![X0,X1]: (subset(X0,union(X0,X1))|subset(X0,union(X0,X1)))),
% 287.82/36.61 inference(resolution,[status(thm)],[f194,f27])).
% 287.82/36.61 fof(f9811,plain,(
% 287.82/36.61 ![X0,X1]: (subset(X0,union(X0,X1)))),
% 287.82/36.61 inference(duplicate_literals_removal,[status(esa)],[f9810])).
% 287.82/36.61 fof(f9821,plain,(
% 287.82/36.61 ![X0,X1]: (subset(X0,union(product(empty_set),X1))|~spl0_167)),
% 287.82/36.61 inference(resolution,[status(thm)],[f194,f8215])).
% 287.82/36.61 fof(f9835,plain,(
% 287.82/36.61 ![X0,X1]: (subset(X0,union(X1,X0))|subset(X0,union(X1,X0)))),
% 287.82/36.61 inference(resolution,[status(thm)],[f195,f27])).
% 287.82/36.61 fof(f9836,plain,(
% 287.82/36.61 ![X0,X1]: (subset(X0,union(X1,X0)))),
% 287.82/36.61 inference(duplicate_literals_removal,[status(esa)],[f9835])).
% 287.82/36.61 fof(f9846,plain,(
% 287.82/36.61 ![X0,X1]: (subset(X0,union(X1,product(empty_set)))|~spl0_167)),
% 287.82/36.61 inference(resolution,[status(thm)],[f195,f8215])).
% 287.82/36.61 fof(f9856,plain,(
% 287.82/36.61 ![X0,X1]: (member(X0,union(product(empty_set),X1))|~spl0_167)),
% 287.82/36.61 inference(resolution,[status(thm)],[f9821,f2772])).
% 287.82/36.61 fof(f9870,plain,(
% 287.82/36.61 ![X0,X1]: (member(X0,union(X1,product(empty_set)))|~spl0_167)),
% 287.82/36.61 inference(resolution,[status(thm)],[f9846,f2772])).
% 287.82/36.61 fof(f9889,plain,(
% 287.82/36.61 ![X0,X1,X2]: (subset(X0,union(union(product(empty_set),X1),X2))|~spl0_167)),
% 287.82/36.61 inference(resolution,[status(thm)],[f9856,f194])).
% 287.82/36.61 fof(f10132,plain,(
% 287.82/36.61 ![X0,X1,X2]: (member(X0,union(unordered_pair(X1,X0),X2)))),
% 287.82/36.61 inference(resolution,[status(thm)],[f9811,f2772])).
% 287.82/36.61 fof(f10133,plain,(
% 287.82/36.61 ![X0,X1,X2]: (member(X0,union(unordered_pair(X0,X1),X2)))),
% 287.82/36.61 inference(resolution,[status(thm)],[f9811,f2771])).
% 287.82/36.61 fof(f10134,plain,(
% 287.82/36.61 ![X0,X1]: (member(X0,union(singleton(X0),X1)))),
% 287.82/36.61 inference(resolution,[status(thm)],[f9811,f2779])).
% 287.82/36.61 fof(f10135,plain,(
% 287.82/36.61 ![X0,X1,X2]: (member(X0,union(power_set(X1),X2))|~subset(X0,X1))),
% 287.82/36.61 inference(resolution,[status(thm)],[f9811,f2770])).
% 287.82/36.61 fof(f10141,plain,(
% 287.82/36.61 ![X0,X1,X2]: (subset(union(X0,singleton(X1)),insertIntoMember(X1,X0,X2)))),
% 287.82/36.61 inference(paramodulation,[status(thm)],[f134,f9811])).
% 287.82/36.61 fof(f10142,plain,(
% 287.82/36.61 ![X0,X1,X2]: (member(X0,union(X1,unordered_pair(X2,X0))))),
% 287.82/36.61 inference(resolution,[status(thm)],[f9836,f2772])).
% 287.82/36.61 fof(f10143,plain,(
% 287.82/36.61 ![X0,X1,X2]: (member(X0,union(X1,unordered_pair(X0,X2))))),
% 287.82/36.61 inference(resolution,[status(thm)],[f9836,f2771])).
% 287.82/36.61 fof(f10144,plain,(
% 287.82/36.61 ![X0,X1]: (member(X0,union(X1,singleton(X0))))),
% 287.82/36.61 inference(resolution,[status(thm)],[f9836,f2779])).
% 287.82/36.61 fof(f10146,plain,(
% 287.82/36.61 ![X0,X1,X2]: (member(X0,union(X1,power_set(X2)))|~subset(X0,X2))),
% 287.82/36.61 inference(resolution,[status(thm)],[f9836,f2770])).
% 287.82/36.61 fof(f10270,plain,(
% 287.82/36.61 ![X0,X1]: (subset(difference(X0,X1),X0)|subset(difference(X0,X1),X0))),
% 287.82/36.61 inference(resolution,[status(thm)],[f196,f28])).
% 287.82/36.61 fof(f10271,plain,(
% 287.82/36.61 ![X0,X1]: (subset(difference(X0,X1),X0))),
% 287.82/36.61 inference(duplicate_literals_removal,[status(esa)],[f10270])).
% 287.82/36.61 fof(f10291,plain,(
% 287.82/36.61 ![X0,X1]: (subset(difference(empty_set,X0),X1))),
% 287.82/36.61 inference(resolution,[status(thm)],[f196,f48])).
% 287.82/36.61 fof(f10313,plain,(
% 287.82/36.61 ![X0,X1]: (subset(difference(X0,power_set(product(empty_set))),X1)|~spl0_167)),
% 287.82/36.61 inference(resolution,[status(thm)],[f197,f8230])).
% 287.82/36.61 fof(f10314,plain,(
% 287.82/36.61 ![X0,X1]: (subset(difference(X0,product(empty_set)),X1)|~spl0_167)),
% 287.82/36.61 inference(resolution,[status(thm)],[f197,f8215])).
% 287.82/36.61 fof(f10356,plain,(
% 287.82/36.61 ![X0,X1]: (~member(X0,difference(X1,product(empty_set)))|~spl0_167)),
% 287.82/36.61 inference(resolution,[status(thm)],[f10314,f5018])).
% 287.82/36.61 fof(f10378,plain,(
% 287.82/36.61 ![X0]: (empty_set=unaryUnion(singleton(difference(X0,product(empty_set))))|~spl0_167|~spl0_114)),
% 287.82/36.61 inference(resolution,[status(thm)],[f10356,f8526])).
% 287.82/36.61 fof(f10379,plain,(
% 287.82/36.61 ![X0]: (difference(X0,product(empty_set))=empty_set|~spl0_167)),
% 287.82/36.61 inference(resolution,[status(thm)],[f10356,f5158])).
% 287.82/36.61 fof(f10408,plain,(
% 287.82/36.61 spl0_219 <=> ~member(X0,product(empty_set))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f10409,plain,(
% 287.82/36.61 ![X0]: (~member(X0,product(empty_set))|~spl0_219)),
% 287.82/36.61 inference(component_clause,[status(thm)],[f10408])).
% 287.82/36.61 fof(f10411,plain,(
% 287.82/36.61 ![X0]: (~member(X0,product(empty_set))|~subset(product(empty_set),empty_set)|~spl0_167)),
% 287.82/36.61 inference(paramodulation,[status(thm)],[f10379,f4904])).
% 287.82/36.61 fof(f10412,plain,(
% 287.82/36.61 spl0_219|~spl0_76|~spl0_167),
% 287.82/36.61 inference(split_clause,[status(thm)],[f10411,f10408,f4211,f7695])).
% 287.82/36.61 fof(f10416,plain,(
% 287.82/36.61 $false|~spl0_167|~spl0_219),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f10409,f8215])).
% 287.82/36.61 fof(f10417,plain,(
% 287.82/36.61 ~spl0_167|~spl0_219),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f10416])).
% 287.82/36.61 fof(f10469,plain,(
% 287.82/36.61 ![X0,X1]: (~member(X0,difference(X1,power_set(product(empty_set))))|~spl0_167)),
% 287.82/36.61 inference(resolution,[status(thm)],[f10313,f5018])).
% 287.82/36.61 fof(f10499,plain,(
% 287.82/36.61 ![X0]: (difference(X0,power_set(product(empty_set)))=empty_set|~spl0_167)),
% 287.82/36.61 inference(resolution,[status(thm)],[f10469,f5158])).
% 287.82/36.61 fof(f10529,plain,(
% 287.82/36.61 spl0_220 <=> ~member(X0,power_set(product(empty_set)))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f10530,plain,(
% 287.82/36.61 ![X0]: (~member(X0,power_set(product(empty_set)))|~spl0_220)),
% 287.82/36.61 inference(component_clause,[status(thm)],[f10529])).
% 287.82/36.61 fof(f10537,plain,(
% 287.82/36.61 $false|~spl0_167|~spl0_220),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f10530,f8230])).
% 287.82/36.61 fof(f10538,plain,(
% 287.82/36.61 ~spl0_167|~spl0_220),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f10537])).
% 287.82/36.61 fof(f10541,plain,(
% 287.82/36.61 spl0_221 <=> ~member(power_set(empty_set),X0)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f10542,plain,(
% 287.82/36.61 ![X0]: (~member(power_set(empty_set),X0)|~spl0_221)),
% 287.82/36.61 inference(component_clause,[status(thm)],[f10541])).
% 287.82/36.61 fof(f10552,plain,(
% 287.82/36.61 spl0_222 <=> ~member(singleton(empty_set),X0)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f10553,plain,(
% 287.82/36.61 ![X0]: (~member(singleton(empty_set),X0)|~spl0_222)),
% 287.82/36.61 inference(component_clause,[status(thm)],[f10552])).
% 287.82/36.61 fof(f10579,plain,(
% 287.82/36.61 ![X0,X1]: (~member(X0,difference(empty_set,X1)))),
% 287.82/36.61 inference(resolution,[status(thm)],[f10291,f5018])).
% 287.82/36.61 fof(f10604,plain,(
% 287.82/36.61 ![X0]: (difference(empty_set,X0)=empty_set)),
% 287.82/36.61 inference(resolution,[status(thm)],[f10579,f5158])).
% 287.82/36.61 fof(f10720,plain,(
% 287.82/36.61 ![X0,X1]: (member(difference(X0,X1),power_set(X0)))),
% 287.82/36.61 inference(resolution,[status(thm)],[f10271,f37])).
% 287.82/36.61 fof(f10825,plain,(
% 287.82/36.61 ![X0]: (subset(union(X0,X0),X0)|subset(union(X0,X0),X0))),
% 287.82/36.61 inference(resolution,[status(thm)],[f199,f28])).
% 287.82/36.61 fof(f10826,plain,(
% 287.82/36.61 ![X0]: (subset(union(X0,X0),X0))),
% 287.82/36.61 inference(duplicate_literals_removal,[status(esa)],[f10825])).
% 287.82/36.61 fof(f10867,plain,(
% 287.82/36.61 ![X0]: (subset(union(empty_set,empty_set),X0))),
% 287.82/36.61 inference(resolution,[status(thm)],[f199,f48])).
% 287.82/36.61 fof(f10972,plain,(
% 287.82/36.61 ![X0,X1,X2]: (subset(X0,insertIntoMember(X1,product(empty_set),X2))|~spl0_167)),
% 287.82/36.61 inference(paramodulation,[status(thm)],[f134,f9889])).
% 287.82/36.61 fof(f10973,plain,(
% 287.82/36.61 ![X0,X1,X2]: (member(X0,insertIntoMember(X1,product(empty_set),X2))|~spl0_167)),
% 287.82/36.61 inference(resolution,[status(thm)],[f10972,f2772])).
% 287.82/36.61 fof(f10986,plain,(
% 287.82/36.61 ![X0,X1,X2]: (member(X0,power_set(insertIntoMember(X1,product(empty_set),X2)))|~spl0_167)),
% 287.82/36.61 inference(resolution,[status(thm)],[f10972,f37])).
% 287.82/36.61 fof(f11064,plain,(
% 287.82/36.61 empty_set=unaryUnion(singleton(empty_set))|~spl0_167|~spl0_114),
% 287.82/36.61 inference(forward_demodulation,[status(thm)],[f10379,f10378])).
% 287.82/36.61 fof(f11065,plain,(
% 287.82/36.61 ![X0]: (~member(X0,union(empty_set,empty_set)))),
% 287.82/36.61 inference(resolution,[status(thm)],[f10867,f5018])).
% 287.82/36.61 fof(f11076,plain,(
% 287.82/36.61 ![X0]: (member(X0,product(union(empty_set,empty_set))))),
% 287.82/36.61 inference(resolution,[status(thm)],[f11065,f74])).
% 287.82/36.61 fof(f11092,plain,(
% 287.82/36.61 empty_set=unaryUnion(singleton(union(empty_set,empty_set)))|~spl0_114),
% 287.82/36.61 inference(resolution,[status(thm)],[f11065,f8526])).
% 287.82/36.61 fof(f11093,plain,(
% 287.82/36.61 union(empty_set,empty_set)=empty_set),
% 287.82/36.61 inference(resolution,[status(thm)],[f11065,f5158])).
% 287.82/36.61 fof(f11206,plain,(
% 287.82/36.61 ![X0,X1]: (~member(X0,union(X1,X1))|member(X0,X1))),
% 287.82/36.61 inference(resolution,[status(thm)],[f10826,f26])).
% 287.82/36.61 fof(f11207,plain,(
% 287.82/36.61 ![X0]: (member(union(X0,X0),power_set(X0)))),
% 287.82/36.61 inference(resolution,[status(thm)],[f10826,f37])).
% 287.82/36.61 fof(f11529,plain,(
% 287.82/36.61 empty_set=unaryUnion(singleton(empty_set))|~spl0_114),
% 287.82/36.61 inference(forward_demodulation,[status(thm)],[f11093,f11092])).
% 287.82/36.61 fof(f11688,plain,(
% 287.82/36.61 spl0_225 <=> empty_set=unaryUnion(difference(empty_set,X0))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f11691,plain,(
% 287.82/36.61 spl0_226 <=> member(sk0_17(empty_set,empty_set),empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f11692,plain,(
% 287.82/36.61 member(sk0_17(empty_set,empty_set),empty_set)|~spl0_226),
% 287.82/36.61 inference(component_clause,[status(thm)],[f11691])).
% 287.82/36.61 fof(f11694,plain,(
% 287.82/36.61 ![X0]: (empty_set=unaryUnion(difference(empty_set,X0))|member(sk0_17(empty_set,empty_set),empty_set))),
% 287.82/36.61 inference(paramodulation,[status(thm)],[f10604,f4877])).
% 287.82/36.61 fof(f11695,plain,(
% 287.82/36.61 spl0_225|spl0_226),
% 287.82/36.61 inference(split_clause,[status(thm)],[f11694,f11688,f11691])).
% 287.82/36.61 fof(f11703,plain,(
% 287.82/36.61 $false|~spl0_226),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f11692,f48])).
% 287.82/36.61 fof(f11704,plain,(
% 287.82/36.61 ~spl0_226),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f11703])).
% 287.82/36.61 fof(f11796,plain,(
% 287.82/36.61 spl0_227 <=> empty_set=unaryUnion(intersection(X0,empty_set))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f11799,plain,(
% 287.82/36.61 ![X0]: (empty_set=unaryUnion(intersection(X0,empty_set))|member(sk0_17(empty_set,empty_set),empty_set))),
% 287.82/36.61 inference(paramodulation,[status(thm)],[f9679,f4878])).
% 287.82/36.61 fof(f11800,plain,(
% 287.82/36.61 spl0_227|spl0_226),
% 287.82/36.61 inference(split_clause,[status(thm)],[f11799,f11796,f11691])).
% 287.82/36.61 fof(f11832,plain,(
% 287.82/36.61 spl0_228 <=> empty_set=unaryUnion(intersection(empty_set,X0))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f11835,plain,(
% 287.82/36.61 ![X0]: (empty_set=unaryUnion(intersection(empty_set,X0))|member(sk0_17(empty_set,empty_set),empty_set))),
% 287.82/36.61 inference(paramodulation,[status(thm)],[f9641,f4879])).
% 287.82/36.61 fof(f11836,plain,(
% 287.82/36.61 spl0_228|spl0_226),
% 287.82/36.61 inference(split_clause,[status(thm)],[f11835,f11832,f11691])).
% 287.82/36.61 fof(f12215,plain,(
% 287.82/36.61 spl0_229 <=> ~member(X0,union(product(empty_set),X1))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f12216,plain,(
% 287.82/36.61 ![X0,X1]: (~member(X0,union(product(empty_set),X1))|~spl0_229)),
% 287.82/36.61 inference(component_clause,[status(thm)],[f12215])).
% 287.82/36.61 fof(f12223,plain,(
% 287.82/36.61 $false|~spl0_167|~spl0_229),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f12216,f9856])).
% 287.82/36.61 fof(f12224,plain,(
% 287.82/36.61 ~spl0_167|~spl0_229),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f12223])).
% 287.82/36.61 fof(f12300,plain,(
% 287.82/36.61 spl0_230 <=> ~member(X0,union(X1,product(empty_set)))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f12301,plain,(
% 287.82/36.61 ![X0,X1]: (~member(X0,union(X1,product(empty_set)))|~spl0_230)),
% 287.82/36.61 inference(component_clause,[status(thm)],[f12300])).
% 287.82/36.61 fof(f12308,plain,(
% 287.82/36.61 $false|~spl0_167|~spl0_230),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f12301,f9870])).
% 287.82/36.61 fof(f12309,plain,(
% 287.82/36.61 ~spl0_167|~spl0_230),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f12308])).
% 287.82/36.61 fof(f12505,plain,(
% 287.82/36.61 spl0_231 <=> empty_set=unaryUnion(power_set(empty_set))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f12506,plain,(
% 287.82/36.61 empty_set=unaryUnion(power_set(empty_set))|~spl0_231),
% 287.82/36.61 inference(component_clause,[status(thm)],[f12505])).
% 287.82/36.61 fof(f12508,plain,(
% 287.82/36.61 spl0_232 <=> ~member(X0,sk0_17(empty_set,power_set(empty_set)))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f12509,plain,(
% 287.82/36.61 ![X0]: (~member(X0,sk0_17(empty_set,power_set(empty_set)))|~spl0_232)),
% 287.82/36.61 inference(component_clause,[status(thm)],[f12508])).
% 287.82/36.61 fof(f12511,plain,(
% 287.82/36.61 ![X0]: (empty_set=unaryUnion(power_set(empty_set))|~member(X0,sk0_17(empty_set,power_set(empty_set))))),
% 287.82/36.61 inference(resolution,[status(thm)],[f4880,f5018])).
% 287.82/36.61 fof(f12512,plain,(
% 287.82/36.61 spl0_231|spl0_232),
% 287.82/36.61 inference(split_clause,[status(thm)],[f12511,f12505,f12508])).
% 287.82/36.61 fof(f12535,plain,(
% 287.82/36.61 spl0_238 <=> empty_set=unaryUnion(power_set(singleton(empty_set)))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f12536,plain,(
% 287.82/36.61 empty_set=unaryUnion(power_set(singleton(empty_set)))|~spl0_238),
% 287.82/36.61 inference(component_clause,[status(thm)],[f12535])).
% 287.82/36.61 fof(f12538,plain,(
% 287.82/36.61 spl0_239 <=> member(singleton(empty_set),sk0_17(empty_set,power_set(singleton(empty_set))))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f12541,plain,(
% 287.82/36.61 empty_set=unaryUnion(power_set(singleton(empty_set)))|~member(singleton(empty_set),sk0_17(empty_set,power_set(singleton(empty_set))))|spl0_10),
% 287.82/36.61 inference(resolution,[status(thm)],[f4880,f5005])).
% 287.82/36.61 fof(f12542,plain,(
% 287.82/36.61 spl0_238|~spl0_239|spl0_10),
% 287.82/36.61 inference(split_clause,[status(thm)],[f12541,f12535,f12538,f457])).
% 287.82/36.61 fof(f13039,plain,(
% 287.82/36.61 ![X0,X1,X2]: (disjoint(difference(X0,X1),difference(X2,X0))|disjoint(difference(X0,X1),difference(X2,X0)))),
% 287.82/36.61 inference(resolution,[status(thm)],[f790,f777])).
% 287.82/36.61 fof(f13040,plain,(
% 287.82/36.61 ![X0,X1,X2]: (disjoint(difference(X0,X1),difference(X2,X0)))),
% 287.82/36.61 inference(duplicate_literals_removal,[status(esa)],[f13039])).
% 287.82/36.61 fof(f13101,plain,(
% 287.82/36.61 ![X0,X1]: (member(X0,empty_set)|~member(X0,X1)|~member(X1,power_set(empty_set))|~spl0_231)),
% 287.82/36.61 inference(paramodulation,[status(thm)],[f12506,f184])).
% 287.82/36.61 fof(f13102,plain,(
% 287.82/36.61 ![X0,X1]: (~member(X0,X1)|~member(X1,power_set(empty_set))|~spl0_231)),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f13101,f48])).
% 287.82/36.61 fof(f13107,plain,(
% 287.82/36.61 ![X0,X1]: (member(X0,empty_set)|~member(X0,X1)|~member(X1,power_set(singleton(empty_set)))|~spl0_238)),
% 287.82/36.61 inference(paramodulation,[status(thm)],[f12536,f184])).
% 287.82/36.61 fof(f13108,plain,(
% 287.82/36.61 ![X0,X1]: (~member(X0,X1)|~member(X1,power_set(singleton(empty_set)))|~spl0_238)),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f13107,f48])).
% 287.82/36.61 fof(f13140,plain,(
% 287.82/36.61 spl0_240 <=> member(sk0_16(empty_set,power_set(empty_set)),empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f13141,plain,(
% 287.82/36.61 member(sk0_16(empty_set,power_set(empty_set)),empty_set)|~spl0_240),
% 287.82/36.61 inference(component_clause,[status(thm)],[f13140])).
% 287.82/36.61 fof(f13143,plain,(
% 287.82/36.61 empty_set=unaryUnion(power_set(empty_set))|member(sk0_16(empty_set,power_set(empty_set)),empty_set)|~spl0_232),
% 287.82/36.61 inference(resolution,[status(thm)],[f12509,f142])).
% 287.82/36.61 fof(f13144,plain,(
% 287.82/36.61 spl0_231|spl0_240|~spl0_232),
% 287.82/36.61 inference(split_clause,[status(thm)],[f13143,f12505,f13140,f12508])).
% 287.82/36.61 fof(f13171,plain,(
% 287.82/36.61 $false|~spl0_240),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f13141,f48])).
% 287.82/36.61 fof(f13172,plain,(
% 287.82/36.61 ~spl0_240),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f13171])).
% 287.82/36.61 fof(f13184,plain,(
% 287.82/36.61 ![X0,X1]: (~member(X0,sk0_2(power_set(empty_set),X1))|member(X1,product(power_set(empty_set)))|~spl0_231)),
% 287.82/36.61 inference(resolution,[status(thm)],[f13102,f74])).
% 287.82/36.61 fof(f13191,plain,(
% 287.82/36.61 ![X0,X1]: (~member(X0,sk0_17(empty_set,intersection(power_set(empty_set),X1)))|empty_set=unaryUnion(intersection(power_set(empty_set),X1))|~spl0_231)),
% 287.82/36.61 inference(resolution,[status(thm)],[f13102,f4879])).
% 287.82/36.61 fof(f13192,plain,(
% 287.82/36.61 ![X0,X1]: (~member(X0,sk0_17(empty_set,intersection(X1,power_set(empty_set))))|empty_set=unaryUnion(intersection(X1,power_set(empty_set)))|~spl0_231)),
% 287.82/36.61 inference(resolution,[status(thm)],[f13102,f4878])).
% 287.82/36.61 fof(f13193,plain,(
% 287.82/36.61 ![X0,X1]: (~member(X0,sk0_17(empty_set,difference(power_set(empty_set),X1)))|empty_set=unaryUnion(difference(power_set(empty_set),X1))|~spl0_231)),
% 287.82/36.61 inference(resolution,[status(thm)],[f13102,f4877])).
% 287.82/36.61 fof(f13207,plain,(
% 287.82/36.61 spl0_241 <=> ~member(X0,sk0_16(empty_set,singleton(power_set(empty_set))))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f13208,plain,(
% 287.82/36.61 ![X0]: (~member(X0,sk0_16(empty_set,singleton(power_set(empty_set))))|~spl0_241)),
% 287.82/36.61 inference(component_clause,[status(thm)],[f13207])).
% 287.82/36.61 fof(f13210,plain,(
% 287.82/36.61 spl0_242 <=> empty_set=unaryUnion(singleton(power_set(empty_set)))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f13211,plain,(
% 287.82/36.61 empty_set=unaryUnion(singleton(power_set(empty_set)))|~spl0_242),
% 287.82/36.61 inference(component_clause,[status(thm)],[f13210])).
% 287.82/36.61 fof(f13212,plain,(
% 287.82/36.61 ~empty_set=unaryUnion(singleton(power_set(empty_set)))|spl0_242),
% 287.82/36.61 inference(component_clause,[status(thm)],[f13210])).
% 287.82/36.61 fof(f13213,plain,(
% 287.82/36.61 ![X0]: (~member(X0,sk0_16(empty_set,singleton(power_set(empty_set))))|empty_set=unaryUnion(singleton(power_set(empty_set)))|~spl0_231|~spl0_114)),
% 287.82/36.61 inference(resolution,[status(thm)],[f13102,f8526])).
% 287.82/36.61 fof(f13214,plain,(
% 287.82/36.61 spl0_241|spl0_242|~spl0_231|~spl0_114),
% 287.82/36.61 inference(split_clause,[status(thm)],[f13213,f13207,f13210,f12505,f5919])).
% 287.82/36.61 fof(f13222,plain,(
% 287.82/36.61 spl0_244 <=> ~member(X0,sk0_21(power_set(empty_set),empty_set))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f13223,plain,(
% 287.82/36.61 ![X0]: (~member(X0,sk0_21(power_set(empty_set),empty_set))|~spl0_244)),
% 287.82/36.61 inference(component_clause,[status(thm)],[f13222])).
% 287.82/36.61 fof(f13225,plain,(
% 287.82/36.61 spl0_245 <=> pd0_0(power_set(empty_set),empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f13226,plain,(
% 287.82/36.61 pd0_0(power_set(empty_set),empty_set)|~spl0_245),
% 287.82/36.61 inference(component_clause,[status(thm)],[f13225])).
% 287.82/36.61 fof(f13235,plain,(
% 287.82/36.61 spl0_247 <=> pd0_0(empty_set,power_set(empty_set))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f13257,plain,(
% 287.82/36.61 ![X0,X1,X2]: (~member(X0,X1)|sk0_0(difference(power_set(empty_set),X2),singleton(X1))=X1|~spl0_231)),
% 287.82/36.61 inference(resolution,[status(thm)],[f13102,f2538])).
% 287.82/36.61 fof(f13258,plain,(
% 287.82/36.61 ![X0,X1,X2]: (~member(X0,X1)|sk0_0(intersection(X2,power_set(empty_set)),singleton(X1))=X1|~spl0_231)),
% 287.82/36.61 inference(resolution,[status(thm)],[f13102,f2536])).
% 287.82/36.61 fof(f13259,plain,(
% 287.82/36.61 ![X0,X1,X2]: (~member(X0,X1)|sk0_0(intersection(power_set(empty_set),X2),singleton(X1))=X1|~spl0_231)),
% 287.82/36.61 inference(resolution,[status(thm)],[f13102,f2535])).
% 287.82/36.61 fof(f13260,plain,(
% 287.82/36.61 ![X0,X1]: (~member(X0,X1)|sk0_2(singleton(power_set(empty_set)),X1)=power_set(empty_set)|~spl0_231)),
% 287.82/36.61 inference(resolution,[status(thm)],[f13102,f1774])).
% 287.82/36.61 fof(f13350,plain,(
% 287.82/36.61 spl0_254 <=> partition(empty_set,power_set(empty_set))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f13351,plain,(
% 287.82/36.61 partition(empty_set,power_set(empty_set))|~spl0_254),
% 287.82/36.61 inference(component_clause,[status(thm)],[f13350])).
% 287.82/36.61 fof(f13358,plain,(
% 287.82/36.61 spl0_256 <=> member(sk0_4(power_set(empty_set),empty_set),empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f13359,plain,(
% 287.82/36.61 member(sk0_4(power_set(empty_set),empty_set),empty_set)|~spl0_256),
% 287.82/36.61 inference(component_clause,[status(thm)],[f13358])).
% 287.82/36.61 fof(f13363,plain,(
% 287.82/36.61 spl0_257 <=> member(sk0_5(power_set(empty_set),empty_set),empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f13364,plain,(
% 287.82/36.61 member(sk0_5(power_set(empty_set),empty_set),empty_set)|~spl0_257),
% 287.82/36.61 inference(component_clause,[status(thm)],[f13363])).
% 287.82/36.61 fof(f13380,plain,(
% 287.82/36.61 ![X0]: (~member(X0,power_set(empty_set))|member(sk0_19(X0,power_set(empty_set),empty_set),empty_set)|~spl0_245)),
% 287.82/36.61 inference(resolution,[status(thm)],[f13226,f152])).
% 287.82/36.61 fof(f13381,plain,(
% 287.82/36.61 ![X0]: (~member(X0,power_set(empty_set))|~spl0_245)),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f13380,f48])).
% 287.82/36.61 fof(f13382,plain,(
% 287.82/36.61 $false|~spl0_257),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f13364,f48])).
% 287.82/36.61 fof(f13383,plain,(
% 287.82/36.61 ~spl0_257),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f13382])).
% 287.82/36.61 fof(f13384,plain,(
% 287.82/36.61 $false|~spl0_256),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f13359,f48])).
% 287.82/36.61 fof(f13385,plain,(
% 287.82/36.61 ~spl0_256),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f13384])).
% 287.82/36.61 fof(f13386,plain,(
% 287.82/36.61 $false|~spl0_245),
% 287.82/36.61 inference(resolution,[status(thm)],[f13381,f11207])).
% 287.82/36.61 fof(f13387,plain,(
% 287.82/36.61 ~spl0_245),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f13386])).
% 287.82/36.61 fof(f13396,plain,(
% 287.82/36.61 ![X0]: (~member(X0,power_set(empty_set))|member(sk0_19(X0,power_set(empty_set),empty_set),empty_set)|~spl0_254)),
% 287.82/36.61 inference(resolution,[status(thm)],[f13351,f5072])).
% 287.82/36.61 fof(f13397,plain,(
% 287.82/36.61 ![X0]: (~member(X0,power_set(empty_set))|~spl0_254)),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f13396,f48])).
% 287.82/36.61 fof(f13399,plain,(
% 287.82/36.61 $false|~spl0_254),
% 287.82/36.61 inference(resolution,[status(thm)],[f13397,f11207])).
% 287.82/36.61 fof(f13400,plain,(
% 287.82/36.61 ~spl0_254),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f13399])).
% 287.82/36.61 fof(f13560,plain,(
% 287.82/36.61 ![X0,X1]: (member(X0,empty_set)|~member(X0,X1)|~member(X1,singleton(power_set(empty_set)))|~spl0_242)),
% 287.82/36.61 inference(paramodulation,[status(thm)],[f13211,f184])).
% 287.82/36.61 fof(f13561,plain,(
% 287.82/36.61 ![X0,X1]: (~member(X0,X1)|~member(X1,singleton(power_set(empty_set)))|~spl0_242)),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f13560,f48])).
% 287.82/36.61 fof(f13601,plain,(
% 287.82/36.61 sk0_21(power_set(empty_set),empty_set)=empty_set|~spl0_244),
% 287.82/36.61 inference(resolution,[status(thm)],[f13223,f5158])).
% 287.82/36.61 fof(f13630,plain,(
% 287.82/36.61 spl0_270 <=> member(empty_set,power_set(empty_set))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f13633,plain,(
% 287.82/36.61 pd0_0(power_set(empty_set),empty_set)|member(empty_set,power_set(empty_set))|~spl0_244),
% 287.82/36.61 inference(paramodulation,[status(thm)],[f13601,f5086])).
% 287.82/36.61 fof(f13634,plain,(
% 287.82/36.61 spl0_245|spl0_270|~spl0_244),
% 287.82/36.61 inference(split_clause,[status(thm)],[f13633,f13225,f13630,f13222])).
% 287.82/36.61 fof(f13859,plain,(
% 287.82/36.61 spl0_272 <=> member(sk0_17(empty_set,empty_set),power_set(product(empty_set)))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f13861,plain,(
% 287.82/36.61 ~member(sk0_17(empty_set,empty_set),power_set(product(empty_set)))|spl0_272),
% 287.82/36.61 inference(component_clause,[status(thm)],[f13859])).
% 287.82/36.61 fof(f13862,plain,(
% 287.82/36.61 spl0_273 <=> empty_set=unaryUnion(difference(X0,power_set(product(empty_set))))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f13865,plain,(
% 287.82/36.61 ![X0]: (~member(sk0_17(empty_set,empty_set),power_set(product(empty_set)))|empty_set=unaryUnion(difference(X0,power_set(product(empty_set))))|~spl0_167)),
% 287.82/36.61 inference(paramodulation,[status(thm)],[f10499,f4895])).
% 287.82/36.61 fof(f13866,plain,(
% 287.82/36.61 ~spl0_272|spl0_273|~spl0_167),
% 287.82/36.61 inference(split_clause,[status(thm)],[f13865,f13859,f13862,f7695])).
% 287.82/36.61 fof(f13867,plain,(
% 287.82/36.61 spl0_274 <=> member(sk0_17(empty_set,empty_set),product(empty_set))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f13869,plain,(
% 287.82/36.61 ~member(sk0_17(empty_set,empty_set),product(empty_set))|spl0_274),
% 287.82/36.61 inference(component_clause,[status(thm)],[f13867])).
% 287.82/36.61 fof(f13870,plain,(
% 287.82/36.61 spl0_275 <=> empty_set=unaryUnion(difference(X0,product(empty_set)))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f13873,plain,(
% 287.82/36.61 ![X0]: (~member(sk0_17(empty_set,empty_set),product(empty_set))|empty_set=unaryUnion(difference(X0,product(empty_set)))|~spl0_167)),
% 287.82/36.61 inference(paramodulation,[status(thm)],[f10379,f4895])).
% 287.82/36.61 fof(f13874,plain,(
% 287.82/36.61 ~spl0_274|spl0_275|~spl0_167),
% 287.82/36.61 inference(split_clause,[status(thm)],[f13873,f13867,f13870,f7695])).
% 287.82/36.61 fof(f13877,plain,(
% 287.82/36.61 $false|~spl0_167|spl0_272),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f13861,f8230])).
% 287.82/36.61 fof(f13878,plain,(
% 287.82/36.61 ~spl0_167|spl0_272),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f13877])).
% 287.82/36.61 fof(f13879,plain,(
% 287.82/36.61 $false|~spl0_167|spl0_274),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f13869,f8215])).
% 287.82/36.61 fof(f13880,plain,(
% 287.82/36.61 ~spl0_167|spl0_274),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f13879])).
% 287.82/36.61 fof(f13921,plain,(
% 287.82/36.61 spl0_279 <=> disjoint(union(X0,power_set(X1)),singleton(empty_set))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f13922,plain,(
% 287.82/36.61 ![X0,X1]: (disjoint(union(X0,power_set(X1)),singleton(empty_set))|~spl0_279)),
% 287.82/36.61 inference(component_clause,[status(thm)],[f13921])).
% 287.82/36.61 fof(f14069,plain,(
% 287.82/36.61 ![X0,X1,X2,X3]: (~member(X0,difference(X1,X2))|~member(X0,difference(X3,X1)))),
% 287.82/36.61 inference(resolution,[status(thm)],[f13040,f80])).
% 287.82/36.61 fof(f14102,plain,(
% 287.82/36.61 spl0_283 <=> disjoint(union(power_set(X0),X1),singleton(empty_set))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f14103,plain,(
% 287.82/36.61 ![X0,X1]: (disjoint(union(power_set(X0),X1),singleton(empty_set))|~spl0_283)),
% 287.82/36.61 inference(component_clause,[status(thm)],[f14102])).
% 287.82/36.61 fof(f14331,plain,(
% 287.82/36.61 spl0_285 <=> member(sk0_21(empty_set,power_set(empty_set)),empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f14332,plain,(
% 287.82/36.61 member(sk0_21(empty_set,power_set(empty_set)),empty_set)|~spl0_285),
% 287.82/36.61 inference(component_clause,[status(thm)],[f14331])).
% 287.82/36.61 fof(f14340,plain,(
% 287.82/36.61 $false|~spl0_285),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f14332,f48])).
% 287.82/36.61 fof(f14341,plain,(
% 287.82/36.61 ~spl0_285),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f14340])).
% 287.82/36.61 fof(f14413,plain,(
% 287.82/36.61 spl0_290 <=> member(sk0_17(power_set(empty_set),empty_set),empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f14414,plain,(
% 287.82/36.61 member(sk0_17(power_set(empty_set),empty_set),empty_set)|~spl0_290),
% 287.82/36.61 inference(component_clause,[status(thm)],[f14413])).
% 287.82/36.61 fof(f14421,plain,(
% 287.82/36.61 $false|~spl0_290),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f14414,f48])).
% 287.82/36.61 fof(f14422,plain,(
% 287.82/36.61 ~spl0_290),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f14421])).
% 287.82/36.61 fof(f14533,plain,(
% 287.82/36.61 ![X0]: (empty_set=unaryUnion(intersection(power_set(empty_set),X0))|empty_set=unaryUnion(intersection(power_set(empty_set),X0))|member(sk0_16(empty_set,intersection(power_set(empty_set),X0)),empty_set)|~spl0_231)),
% 287.82/36.61 inference(resolution,[status(thm)],[f13191,f142])).
% 287.82/36.61 fof(f14534,plain,(
% 287.82/36.61 ![X0]: (empty_set=unaryUnion(intersection(power_set(empty_set),X0))|member(sk0_16(empty_set,intersection(power_set(empty_set),X0)),empty_set)|~spl0_231)),
% 287.82/36.61 inference(duplicate_literals_removal,[status(esa)],[f14533])).
% 287.82/36.61 fof(f14535,plain,(
% 287.82/36.61 ![X0]: (empty_set=unaryUnion(intersection(power_set(empty_set),X0))|~spl0_231)),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f14534,f48])).
% 287.82/36.61 fof(f14597,plain,(
% 287.82/36.61 ![X0]: (empty_set=unaryUnion(intersection(X0,power_set(empty_set)))|empty_set=unaryUnion(intersection(X0,power_set(empty_set)))|member(sk0_16(empty_set,intersection(X0,power_set(empty_set))),empty_set)|~spl0_231)),
% 287.82/36.61 inference(resolution,[status(thm)],[f13192,f142])).
% 287.82/36.61 fof(f14598,plain,(
% 287.82/36.61 ![X0]: (empty_set=unaryUnion(intersection(X0,power_set(empty_set)))|member(sk0_16(empty_set,intersection(X0,power_set(empty_set))),empty_set)|~spl0_231)),
% 287.82/36.61 inference(duplicate_literals_removal,[status(esa)],[f14597])).
% 287.82/36.61 fof(f14599,plain,(
% 287.82/36.61 ![X0]: (empty_set=unaryUnion(intersection(X0,power_set(empty_set)))|~spl0_231)),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f14598,f48])).
% 287.82/36.61 fof(f14658,plain,(
% 287.82/36.61 spl0_294 <=> empty_set=unaryUnion(empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f14661,plain,(
% 287.82/36.61 spl0_295 <=> member(sk0_16(empty_set,empty_set),empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f14662,plain,(
% 287.82/36.61 member(sk0_16(empty_set,empty_set),empty_set)|~spl0_295),
% 287.82/36.61 inference(component_clause,[status(thm)],[f14661])).
% 287.82/36.61 fof(f14695,plain,(
% 287.82/36.61 $false|~spl0_295),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f14662,f48])).
% 287.82/36.61 fof(f14696,plain,(
% 287.82/36.61 ~spl0_295),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f14695])).
% 287.82/36.61 fof(f14764,plain,(
% 287.82/36.61 ![X0]: (empty_set=unaryUnion(difference(power_set(empty_set),X0))|empty_set=unaryUnion(difference(power_set(empty_set),X0))|member(sk0_16(empty_set,difference(power_set(empty_set),X0)),empty_set)|~spl0_231)),
% 287.82/36.61 inference(resolution,[status(thm)],[f13193,f142])).
% 287.82/36.61 fof(f14765,plain,(
% 287.82/36.61 ![X0]: (empty_set=unaryUnion(difference(power_set(empty_set),X0))|member(sk0_16(empty_set,difference(power_set(empty_set),X0)),empty_set)|~spl0_231)),
% 287.82/36.61 inference(duplicate_literals_removal,[status(esa)],[f14764])).
% 287.82/36.61 fof(f14766,plain,(
% 287.82/36.61 ![X0]: (empty_set=unaryUnion(difference(power_set(empty_set),X0))|~spl0_231)),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f14765,f48])).
% 287.82/36.61 fof(f14829,plain,(
% 287.82/36.61 spl0_304 <=> product(empty_set)=unaryUnion(power_set(empty_set))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f14830,plain,(
% 287.82/36.61 product(empty_set)=unaryUnion(power_set(empty_set))|~spl0_304),
% 287.82/36.61 inference(component_clause,[status(thm)],[f14829])).
% 287.82/36.61 fof(f14863,plain,(
% 287.82/36.61 spl0_308 <=> subset(sk0_16(singleton(empty_set),power_set(empty_set)),empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f14868,plain,(
% 287.82/36.61 spl0_309 <=> ~member(X1,sk0_16(singleton(empty_set),power_set(empty_set)))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f14869,plain,(
% 287.82/36.61 ![X0]: (~member(X0,sk0_16(singleton(empty_set),power_set(empty_set)))|~spl0_309)),
% 287.82/36.61 inference(component_clause,[status(thm)],[f14868])).
% 287.82/36.61 fof(f14899,plain,(
% 287.82/36.61 product(empty_set)=empty_set|~spl0_231|~spl0_304),
% 287.82/36.61 inference(forward_demodulation,[status(thm)],[f12506,f14830])).
% 287.82/36.61 fof(f14900,plain,(
% 287.82/36.61 $false|spl0_174|~spl0_231|~spl0_304),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f14899,f7951])).
% 287.82/36.61 fof(f14901,plain,(
% 287.82/36.61 spl0_174|~spl0_231|~spl0_304),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f14900])).
% 287.82/36.61 fof(f14912,plain,(
% 287.82/36.61 ![X0]: (member(X0,product(empty_set)))),
% 287.82/36.61 inference(forward_demodulation,[status(thm)],[f11093,f11076])).
% 287.82/36.61 fof(f14915,plain,(
% 287.82/36.61 ![X0,X1]: (member(X0,union(X1,product(empty_set))))),
% 287.82/36.61 inference(resolution,[status(thm)],[f9836,f2778])).
% 287.82/36.61 fof(f14916,plain,(
% 287.82/36.61 ![X0,X1]: (subset(X0,union(X1,product(empty_set))))),
% 287.82/36.61 inference(resolution,[status(thm)],[f9836,f4919])).
% 287.82/36.61 fof(f14917,plain,(
% 287.82/36.61 ![X0,X1]: (member(X0,union(product(empty_set),X1)))),
% 287.82/36.61 inference(resolution,[status(thm)],[f9811,f2778])).
% 287.82/36.61 fof(f14918,plain,(
% 287.82/36.61 ![X0,X1]: (subset(X0,union(product(empty_set),X1)))),
% 287.82/36.61 inference(resolution,[status(thm)],[f9811,f4919])).
% 287.82/36.61 fof(f14919,plain,(
% 287.82/36.61 ![X0,X1]: (member(X0,union(power_set(product(empty_set)),X1)))),
% 287.82/36.61 inference(resolution,[status(thm)],[f9811,f2800])).
% 287.82/36.61 fof(f14924,plain,(
% 287.82/36.61 ![X0]: (member(X0,power_set(product(empty_set))))),
% 287.82/36.61 inference(resolution,[status(thm)],[f2800,f190])).
% 287.82/36.61 fof(f14927,plain,(
% 287.82/36.61 ![X0]: (subset(X0,product(empty_set)))),
% 287.82/36.61 inference(resolution,[status(thm)],[f4919,f190])).
% 287.82/36.61 fof(f14932,plain,(
% 287.82/36.61 spl0_150|~spl0_114),
% 287.82/36.61 inference(split_clause,[status(thm)],[f11529,f7241,f5919])).
% 287.82/36.61 fof(f15081,plain,(
% 287.82/36.61 ![X0,X1,X2]: (subset(X0,union(union(X1,product(empty_set)),X2)))),
% 287.82/36.61 inference(resolution,[status(thm)],[f14915,f194])).
% 287.82/36.61 fof(f15128,plain,(
% 287.82/36.61 ![X0,X1,X2]: (empty_set=unaryUnion(equivalence_class(X0,power_set(empty_set),X1))|~member(X2,sk0_17(empty_set,equivalence_class(X0,power_set(empty_set),X1)))|~spl0_231)),
% 287.82/36.61 inference(resolution,[status(thm)],[f4989,f13102])).
% 287.82/36.61 fof(f15194,plain,(
% 287.82/36.61 ![X0,X1,X2]: (subset(X0,union(union(product(empty_set),X1),X2)))),
% 287.82/36.61 inference(resolution,[status(thm)],[f14917,f194])).
% 287.82/36.61 fof(f15609,plain,(
% 287.82/36.61 spl0_312 <=> member(sk0_4(sum(power_set(empty_set)),empty_set),empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f15610,plain,(
% 287.82/36.61 member(sk0_4(sum(power_set(empty_set)),empty_set),empty_set)|~spl0_312),
% 287.82/36.61 inference(component_clause,[status(thm)],[f15609])).
% 287.82/36.61 fof(f15614,plain,(
% 287.82/36.61 spl0_313 <=> member(sk0_5(sum(power_set(empty_set)),empty_set),empty_set)),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f15615,plain,(
% 287.82/36.61 member(sk0_5(sum(power_set(empty_set)),empty_set),empty_set)|~spl0_313),
% 287.82/36.61 inference(component_clause,[status(thm)],[f15614])).
% 287.82/36.61 fof(f15633,plain,(
% 287.82/36.61 $false|~spl0_313),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f15615,f48])).
% 287.82/36.61 fof(f15634,plain,(
% 287.82/36.61 ~spl0_313),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f15633])).
% 287.82/36.61 fof(f15635,plain,(
% 287.82/36.61 $false|~spl0_312),
% 287.82/36.61 inference(forward_subsumption_resolution,[status(thm)],[f15610,f48])).
% 287.82/36.61 fof(f15636,plain,(
% 287.82/36.61 ~spl0_312),
% 287.82/36.61 inference(contradiction_clause,[status(thm)],[f15635])).
% 287.82/36.61 fof(f16269,plain,(
% 287.82/36.61 ![X0,X1,X2]: (subset(equivalence_class(X0,X1,X2),X1)|subset(equivalence_class(X0,X1,X2),X1))),
% 287.82/36.61 inference(resolution,[status(thm)],[f811,f28])).
% 287.82/36.61 fof(f16270,plain,(
% 287.82/36.61 ![X0,X1,X2]: (subset(equivalence_class(X0,X1,X2),X1))),
% 287.82/36.61 inference(duplicate_literals_removal,[status(esa)],[f16269])).
% 287.82/36.61 fof(f16304,plain,(
% 287.82/36.61 ![X0,X1,X2]: (subset(equivalence_class(X0,empty_set,X1),X2))),
% 287.82/36.61 inference(resolution,[status(thm)],[f811,f48])).
% 287.82/36.61 fof(f16948,plain,(
% 287.82/36.61 ![X0,X1,X2]: (~member(X0,equivalence_class(X1,empty_set,X2)))),
% 287.82/36.61 inference(resolution,[status(thm)],[f16304,f5018])).
% 287.82/36.61 fof(f16992,plain,(
% 287.82/36.61 ![X0,X1]: (equivalence_class(X0,empty_set,X1)=empty_set)),
% 287.82/36.61 inference(resolution,[status(thm)],[f16948,f5158])).
% 287.82/36.61 fof(f17046,plain,(
% 287.82/36.61 spl0_330 <=> empty_set=unaryUnion(equivalence_class(X0,empty_set,X1))),
% 287.82/36.61 introduced(split_symbol_definition)).
% 287.82/36.61 fof(f17049,plain,(
% 287.82/36.61 ![X0,X1]: (member(sk0_17(empty_set,empty_set),empty_set)|empty_set=unaryUnion(equivalence_class(X0,empty_set,X1)))),
% 287.82/36.61 inference(paramodulation,[status(thm)],[f16992,f4989])).
% 287.82/36.61 fof(f17050,plain,(
% 287.82/36.61 spl0_226|spl0_330),
% 287.82/36.61 inference(split_clause,[status(thm)],[f17049,f11691,f17046])).
% 287.82/36.61 fof(f17243,plain,(
% 287.82/36.61 ![X0,X1,X2]: (member(equivalence_class(X0,X1,X2),power_set(X1)))),
% 287.82/36.62 inference(resolution,[status(thm)],[f16270,f37])).
% 287.82/36.62 fof(f17527,plain,(
% 287.82/36.62 ![X0,X1,X2]: (~member(X0,sum(difference(power_set(empty_set),X1)))|~member(X2,sk0_1(difference(power_set(empty_set),X1),X0))|~spl0_231)),
% 287.82/36.62 inference(resolution,[status(thm)],[f829,f13102])).
% 287.82/36.62 fof(f18199,plain,(
% 287.82/36.62 ![X0,X1,X2]: (member(X0,union(union(X1,product(empty_set)),X2)))),
% 287.82/36.62 inference(resolution,[status(thm)],[f15081,f2772])).
% 287.82/36.62 fof(f18230,plain,(
% 287.82/36.62 ![X0,X1,X2]: (member(X0,union(union(product(empty_set),X1),X2)))),
% 287.82/36.62 inference(resolution,[status(thm)],[f15194,f2772])).
% 287.82/36.62 fof(f18554,plain,(
% 287.82/36.62 spl0_362 <=> power_set(singleton(empty_set))=empty_set),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f18555,plain,(
% 287.82/36.62 power_set(singleton(empty_set))=empty_set|~spl0_362),
% 287.82/36.62 inference(component_clause,[status(thm)],[f18554])).
% 287.82/36.62 fof(f18556,plain,(
% 287.82/36.62 ~power_set(singleton(empty_set))=empty_set|spl0_362),
% 287.82/36.62 inference(component_clause,[status(thm)],[f18554])).
% 287.82/36.62 fof(f18580,plain,(
% 287.82/36.62 spl0_368 <=> pd0_0(power_set(singleton(empty_set)),empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f18581,plain,(
% 287.82/36.62 pd0_0(power_set(singleton(empty_set)),empty_set)|~spl0_368),
% 287.82/36.62 inference(component_clause,[status(thm)],[f18580])).
% 287.82/36.62 fof(f18629,plain,(
% 287.82/36.62 ![X0]: (~member(X0,singleton(empty_set))|~spl0_238)),
% 287.82/36.62 inference(resolution,[status(thm)],[f13108,f5401])).
% 287.82/36.62 fof(f18630,plain,(
% 287.82/36.62 spl0_218|~spl0_238),
% 287.82/36.62 inference(split_clause,[status(thm)],[f18629,f9495,f12535])).
% 287.82/36.62 fof(f18643,plain,(
% 287.82/36.62 ![X0,X1]: (member(equivalence_class(X0,singleton(empty_set),X1),empty_set)|~spl0_362)),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f18555,f17243])).
% 287.82/36.62 fof(f18644,plain,(
% 287.82/36.62 $false|~spl0_362),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f18643,f48])).
% 287.82/36.62 fof(f18645,plain,(
% 287.82/36.62 ~spl0_362),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f18644])).
% 287.82/36.62 fof(f18646,plain,(
% 287.82/36.62 spl0_374 <=> partition(power_set(singleton(empty_set)),empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f18647,plain,(
% 287.82/36.62 partition(power_set(singleton(empty_set)),empty_set)|~spl0_374),
% 287.82/36.62 inference(component_clause,[status(thm)],[f18646])).
% 287.82/36.62 fof(f18677,plain,(
% 287.82/36.62 spl0_380 <=> partition(empty_set,power_set(singleton(empty_set)))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f18678,plain,(
% 287.82/36.62 partition(empty_set,power_set(singleton(empty_set)))|~spl0_380),
% 287.82/36.62 inference(component_clause,[status(thm)],[f18677])).
% 287.82/36.62 fof(f18685,plain,(
% 287.82/36.62 spl0_382 <=> member(sk0_4(power_set(singleton(empty_set)),empty_set),empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f18686,plain,(
% 287.82/36.62 member(sk0_4(power_set(singleton(empty_set)),empty_set),empty_set)|~spl0_382),
% 287.82/36.62 inference(component_clause,[status(thm)],[f18685])).
% 287.82/36.62 fof(f18690,plain,(
% 287.82/36.62 spl0_383 <=> member(sk0_5(power_set(singleton(empty_set)),empty_set),empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f18691,plain,(
% 287.82/36.62 member(sk0_5(power_set(singleton(empty_set)),empty_set),empty_set)|~spl0_383),
% 287.82/36.62 inference(component_clause,[status(thm)],[f18690])).
% 287.82/36.62 fof(f18693,plain,(
% 287.82/36.62 partition(empty_set,power_set(singleton(empty_set)))|member(sk0_5(power_set(singleton(empty_set)),empty_set),empty_set)|~spl0_368),
% 287.82/36.62 inference(resolution,[status(thm)],[f18581,f92])).
% 287.82/36.62 fof(f18694,plain,(
% 287.82/36.62 spl0_380|spl0_383|~spl0_368),
% 287.82/36.62 inference(split_clause,[status(thm)],[f18693,f18677,f18690,f18580])).
% 287.82/36.62 fof(f18709,plain,(
% 287.82/36.62 $false|~spl0_383),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f18691,f48])).
% 287.82/36.62 fof(f18710,plain,(
% 287.82/36.62 ~spl0_383),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f18709])).
% 287.82/36.62 fof(f18711,plain,(
% 287.82/36.62 $false|~spl0_382),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f18686,f48])).
% 287.82/36.62 fof(f18712,plain,(
% 287.82/36.62 ~spl0_382),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f18711])).
% 287.82/36.62 fof(f18713,plain,(
% 287.82/36.62 ![X0]: (~member(X0,power_set(singleton(empty_set)))|subset(X0,empty_set)|~spl0_374)),
% 287.82/36.62 inference(resolution,[status(thm)],[f18647,f824])).
% 287.82/36.62 fof(f18721,plain,(
% 287.82/36.62 ![X0]: (~member(X0,power_set(singleton(empty_set)))|member(sk0_19(X0,power_set(singleton(empty_set)),empty_set),empty_set)|~spl0_380)),
% 287.82/36.62 inference(resolution,[status(thm)],[f18678,f5072])).
% 287.82/36.62 fof(f18722,plain,(
% 287.82/36.62 ![X0]: (~member(X0,power_set(singleton(empty_set)))|~spl0_380)),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f18721,f48])).
% 287.82/36.62 fof(f18724,plain,(
% 287.82/36.62 $false|~spl0_380),
% 287.82/36.62 inference(resolution,[status(thm)],[f18722,f17243])).
% 287.82/36.62 fof(f18725,plain,(
% 287.82/36.62 ~spl0_380),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f18724])).
% 287.82/36.62 fof(f19059,plain,(
% 287.82/36.62 spl0_407 <=> power_set(power_set(empty_set))=empty_set),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f19060,plain,(
% 287.82/36.62 power_set(power_set(empty_set))=empty_set|~spl0_407),
% 287.82/36.62 inference(component_clause,[status(thm)],[f19059])).
% 287.82/36.62 fof(f19061,plain,(
% 287.82/36.62 ~power_set(power_set(empty_set))=empty_set|spl0_407),
% 287.82/36.62 inference(component_clause,[status(thm)],[f19059])).
% 287.82/36.62 fof(f19085,plain,(
% 287.82/36.62 spl0_413 <=> pd0_0(power_set(power_set(empty_set)),empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f19086,plain,(
% 287.82/36.62 pd0_0(power_set(power_set(empty_set)),empty_set)|~spl0_413),
% 287.82/36.62 inference(component_clause,[status(thm)],[f19085])).
% 287.82/36.62 fof(f19145,plain,(
% 287.82/36.62 ![X0,X1]: (member(equivalence_class(X0,power_set(empty_set),X1),empty_set)|~spl0_407)),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f19060,f17243])).
% 287.82/36.62 fof(f19146,plain,(
% 287.82/36.62 $false|~spl0_407),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f19145,f48])).
% 287.82/36.62 fof(f19147,plain,(
% 287.82/36.62 ~spl0_407),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f19146])).
% 287.82/36.62 fof(f19546,plain,(
% 287.82/36.62 ![X0,X1]: (~member(X0,X1)|subset(X0,sum(X1))|subset(X0,sum(X1)))),
% 287.82/36.62 inference(resolution,[status(thm)],[f898,f27])).
% 287.82/36.62 fof(f19547,plain,(
% 287.82/36.62 ![X0,X1]: (~member(X0,X1)|subset(X0,sum(X1)))),
% 287.82/36.62 inference(duplicate_literals_removal,[status(esa)],[f19546])).
% 287.82/36.62 fof(f19583,plain,(
% 287.82/36.62 ![X0,X1]: (~member(product(empty_set),X0)|subset(X1,sum(X0)))),
% 287.82/36.62 inference(resolution,[status(thm)],[f898,f14912])).
% 287.82/36.62 fof(f19683,plain,(
% 287.82/36.62 spl0_425 <=> partition(empty_set,power_set(power_set(empty_set)))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f19684,plain,(
% 287.82/36.62 partition(empty_set,power_set(power_set(empty_set)))|~spl0_425),
% 287.82/36.62 inference(component_clause,[status(thm)],[f19683])).
% 287.82/36.62 fof(f19691,plain,(
% 287.82/36.62 spl0_427 <=> member(sk0_4(power_set(power_set(empty_set)),empty_set),empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f19692,plain,(
% 287.82/36.62 member(sk0_4(power_set(power_set(empty_set)),empty_set),empty_set)|~spl0_427),
% 287.82/36.62 inference(component_clause,[status(thm)],[f19691])).
% 287.82/36.62 fof(f19696,plain,(
% 287.82/36.62 spl0_428 <=> member(sk0_5(power_set(power_set(empty_set)),empty_set),empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f19697,plain,(
% 287.82/36.62 member(sk0_5(power_set(power_set(empty_set)),empty_set),empty_set)|~spl0_428),
% 287.82/36.62 inference(component_clause,[status(thm)],[f19696])).
% 287.82/36.62 fof(f19699,plain,(
% 287.82/36.62 partition(empty_set,power_set(power_set(empty_set)))|member(sk0_5(power_set(power_set(empty_set)),empty_set),empty_set)|~spl0_413),
% 287.82/36.62 inference(resolution,[status(thm)],[f19086,f92])).
% 287.82/36.62 fof(f19700,plain,(
% 287.82/36.62 spl0_425|spl0_428|~spl0_413),
% 287.82/36.62 inference(split_clause,[status(thm)],[f19699,f19683,f19696,f19085])).
% 287.82/36.62 fof(f19715,plain,(
% 287.82/36.62 $false|~spl0_428),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f19697,f48])).
% 287.82/36.62 fof(f19716,plain,(
% 287.82/36.62 ~spl0_428),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f19715])).
% 287.82/36.62 fof(f19717,plain,(
% 287.82/36.62 $false|~spl0_427),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f19692,f48])).
% 287.82/36.62 fof(f19718,plain,(
% 287.82/36.62 ~spl0_427),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f19717])).
% 287.82/36.62 fof(f19796,plain,(
% 287.82/36.62 spl0_431 <=> disjoint(singleton(empty_set),power_set(empty_set))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f19797,plain,(
% 287.82/36.62 disjoint(singleton(empty_set),power_set(empty_set))|~spl0_431),
% 287.82/36.62 inference(component_clause,[status(thm)],[f19796])).
% 287.82/36.62 fof(f19808,plain,(
% 287.82/36.62 ![X0]: (~member(X0,power_set(power_set(empty_set)))|member(sk0_19(X0,power_set(power_set(empty_set)),empty_set),empty_set)|~spl0_425)),
% 287.82/36.62 inference(resolution,[status(thm)],[f19684,f5072])).
% 287.82/36.62 fof(f19809,plain,(
% 287.82/36.62 ![X0]: (~member(X0,power_set(power_set(empty_set)))|~spl0_425)),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f19808,f48])).
% 287.82/36.62 fof(f19811,plain,(
% 287.82/36.62 $false|~spl0_425),
% 287.82/36.62 inference(resolution,[status(thm)],[f19809,f17243])).
% 287.82/36.62 fof(f19812,plain,(
% 287.82/36.62 ~spl0_425),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f19811])).
% 287.82/36.62 fof(f19814,plain,(
% 287.82/36.62 ![X0]: (~member(X0,singleton(empty_set))|~member(X0,power_set(empty_set))|~spl0_431)),
% 287.82/36.62 inference(resolution,[status(thm)],[f19797,f80])).
% 287.82/36.62 fof(f19957,plain,(
% 287.82/36.62 spl0_444 <=> disjoint(power_set(empty_set),singleton(empty_set))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f19958,plain,(
% 287.82/36.62 disjoint(power_set(empty_set),singleton(empty_set))|~spl0_444),
% 287.82/36.62 inference(component_clause,[status(thm)],[f19957])).
% 287.82/36.62 fof(f20096,plain,(
% 287.82/36.62 ![X0]: (~member(X0,power_set(empty_set))|~member(X0,singleton(empty_set))|~spl0_444)),
% 287.82/36.62 inference(resolution,[status(thm)],[f19958,f80])).
% 287.82/36.62 fof(f20159,plain,(
% 287.82/36.62 spl0_448 <=> sk0_16(empty_set,singleton(power_set(empty_set)))=empty_set),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f20160,plain,(
% 287.82/36.62 sk0_16(empty_set,singleton(power_set(empty_set)))=empty_set|~spl0_448),
% 287.82/36.62 inference(component_clause,[status(thm)],[f20159])).
% 287.82/36.62 fof(f20164,plain,(
% 287.82/36.62 sk0_16(empty_set,singleton(power_set(empty_set)))=empty_set|~spl0_241),
% 287.82/36.62 inference(resolution,[status(thm)],[f13208,f5158])).
% 287.82/36.62 fof(f20220,plain,(
% 287.82/36.62 spl0_453 <=> sk0_17(empty_set,singleton(power_set(empty_set)))=power_set(empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f20221,plain,(
% 287.82/36.62 sk0_17(empty_set,singleton(power_set(empty_set)))=power_set(empty_set)|~spl0_453),
% 287.82/36.62 inference(component_clause,[status(thm)],[f20220])).
% 287.82/36.62 fof(f20223,plain,(
% 287.82/36.62 empty_set=unaryUnion(singleton(power_set(empty_set)))|member(empty_set,empty_set)|sk0_17(empty_set,singleton(power_set(empty_set)))=power_set(empty_set)|~spl0_241),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f20164,f4555])).
% 287.82/36.62 fof(f20224,plain,(
% 287.82/36.62 spl0_242|spl0_187|spl0_453|~spl0_241),
% 287.82/36.62 inference(split_clause,[status(thm)],[f20223,f13210,f8703,f20220,f13207])).
% 287.82/36.62 fof(f20225,plain,(
% 287.82/36.62 spl0_454 <=> ~member(sk0_16(empty_set,singleton(power_set(empty_set))),X0)|~member(X0,singleton(power_set(empty_set)))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f20226,plain,(
% 287.82/36.62 ![X0]: (~member(sk0_16(empty_set,singleton(power_set(empty_set))),X0)|~member(X0,singleton(power_set(empty_set)))|~spl0_454)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f20225])).
% 287.82/36.62 fof(f20230,plain,(
% 287.82/36.62 spl0_455 <=> member(sk0_16(empty_set,singleton(power_set(empty_set))),empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f20231,plain,(
% 287.82/36.62 member(sk0_16(empty_set,singleton(power_set(empty_set))),empty_set)|~spl0_455),
% 287.82/36.62 inference(component_clause,[status(thm)],[f20230])).
% 287.82/36.62 fof(f20233,plain,(
% 287.82/36.62 spl0_456 <=> member(empty_set,sk0_17(empty_set,singleton(power_set(empty_set))))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f20236,plain,(
% 287.82/36.62 empty_set=unaryUnion(singleton(power_set(empty_set)))|member(sk0_16(empty_set,singleton(power_set(empty_set))),empty_set)|member(empty_set,sk0_17(empty_set,singleton(power_set(empty_set))))|~spl0_241),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f20164,f142])).
% 287.82/36.62 fof(f20237,plain,(
% 287.82/36.62 spl0_242|spl0_455|spl0_456|~spl0_241),
% 287.82/36.62 inference(split_clause,[status(thm)],[f20236,f13210,f20230,f20233,f13207])).
% 287.82/36.62 fof(f20238,plain,(
% 287.82/36.62 spl0_457 <=> member(sk0_17(empty_set,singleton(power_set(empty_set))),singleton(power_set(empty_set)))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f20241,plain,(
% 287.82/36.62 empty_set=unaryUnion(singleton(power_set(empty_set)))|member(empty_set,empty_set)|member(sk0_17(empty_set,singleton(power_set(empty_set))),singleton(power_set(empty_set)))|~spl0_241),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f20164,f143])).
% 287.82/36.62 fof(f20242,plain,(
% 287.82/36.62 spl0_242|spl0_187|spl0_457|~spl0_241),
% 287.82/36.62 inference(split_clause,[status(thm)],[f20241,f13210,f8703,f20238,f13207])).
% 287.82/36.62 fof(f20243,plain,(
% 287.82/36.62 member(empty_set,empty_set)|~spl0_241|~spl0_455),
% 287.82/36.62 inference(forward_demodulation,[status(thm)],[f20164,f20231])).
% 287.82/36.62 fof(f20244,plain,(
% 287.82/36.62 $false|~spl0_241|~spl0_455),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f20243,f48])).
% 287.82/36.62 fof(f20245,plain,(
% 287.82/36.62 ~spl0_241|~spl0_455),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f20244])).
% 287.82/36.62 fof(f20246,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,X0)|~member(X0,singleton(power_set(empty_set)))|~spl0_241|~spl0_454)),
% 287.82/36.62 inference(forward_demodulation,[status(thm)],[f20164,f20226])).
% 287.82/36.62 fof(f20301,plain,(
% 287.82/36.62 spl0_463 <=> empty_set=unaryUnion(singleton(singleton(power_set(empty_set))))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f20302,plain,(
% 287.82/36.62 empty_set=unaryUnion(singleton(singleton(power_set(empty_set))))|~spl0_463),
% 287.82/36.62 inference(component_clause,[status(thm)],[f20301])).
% 287.82/36.62 fof(f20332,plain,(
% 287.82/36.62 spl0_470 <=> ~member(X0,sk0_21(singleton(power_set(empty_set)),empty_set))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f20333,plain,(
% 287.82/36.62 ![X0]: (~member(X0,sk0_21(singleton(power_set(empty_set)),empty_set))|~spl0_470)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f20332])).
% 287.82/36.62 fof(f20383,plain,(
% 287.82/36.62 ![X0]: (~member(X0,power_set(empty_set))|~spl0_242)),
% 287.82/36.62 inference(resolution,[status(thm)],[f13561,f179])).
% 287.82/36.62 fof(f20389,plain,(
% 287.82/36.62 ![X0]: (~member(X0,power_set(empty_set))|~spl0_114|~spl0_470)),
% 287.82/36.62 inference(forward_demodulation,[status(thm)],[f6455,f20333])).
% 287.82/36.62 fof(f20394,plain,(
% 287.82/36.62 $false|~spl0_242),
% 287.82/36.62 inference(resolution,[status(thm)],[f20383,f17243])).
% 287.82/36.62 fof(f20395,plain,(
% 287.82/36.62 ~spl0_242),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f20394])).
% 287.82/36.62 fof(f20396,plain,(
% 287.82/36.62 $false|~spl0_114|~spl0_470),
% 287.82/36.62 inference(resolution,[status(thm)],[f20389,f17243])).
% 287.82/36.62 fof(f20397,plain,(
% 287.82/36.62 ~spl0_114|~spl0_470),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f20396])).
% 287.82/36.62 fof(f20995,plain,(
% 287.82/36.62 ![X0,X1,X2]: (~member(unordered_pair(X0,X1),X2)|member(X1,sum(X2)))),
% 287.82/36.62 inference(resolution,[status(thm)],[f19547,f2772])).
% 287.82/36.62 fof(f20996,plain,(
% 287.82/36.62 ![X0,X1,X2]: (~member(unordered_pair(X0,X1),X2)|member(X0,sum(X2)))),
% 287.82/36.62 inference(resolution,[status(thm)],[f19547,f2771])).
% 287.82/36.62 fof(f20999,plain,(
% 287.82/36.62 ![X0,X1]: (~member(singleton(X0),X1)|member(X0,sum(X1)))),
% 287.82/36.62 inference(resolution,[status(thm)],[f19547,f2779])).
% 287.82/36.62 fof(f21023,plain,(
% 287.82/36.62 ![X0,X1]: (member(X0,sum(union(product(empty_set),X1))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f20999,f14917])).
% 287.82/36.62 fof(f21031,plain,(
% 287.82/36.62 ![X0,X1]: (member(X0,sum(union(X1,product(empty_set)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f20999,f14915])).
% 287.82/36.62 fof(f21039,plain,(
% 287.82/36.62 ![X0,X1]: (member(X0,sum(unordered_pair(X1,singleton(X0)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f20999,f181])).
% 287.82/36.62 fof(f21040,plain,(
% 287.82/36.62 ![X0,X1]: (member(X0,sum(unordered_pair(singleton(X0),X1))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f20999,f180])).
% 287.82/36.62 fof(f21043,plain,(
% 287.82/36.62 ![X0]: (member(X0,sum(power_set(product(empty_set)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f20999,f14924])).
% 287.82/36.62 fof(f21048,plain,(
% 287.82/36.62 ![X0]: (member(X0,sum(power_set(singleton(X0)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f20999,f5401])).
% 287.82/36.62 fof(f21049,plain,(
% 287.82/36.62 ![X0]: (member(X0,sum(product(empty_set))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f20999,f14912])).
% 287.82/36.62 fof(f21051,plain,(
% 287.82/36.62 ![X0]: (member(X0,sum(singleton(singleton(X0)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f20999,f179])).
% 287.82/36.62 fof(f21062,plain,(
% 287.82/36.62 ![X0]: (member(X0,sum(sum(product(empty_set)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f21049,f20999])).
% 287.82/36.62 fof(f21070,plain,(
% 287.82/36.62 ![X0,X1]: (subset(X0,union(X1,sum(product(empty_set)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f21049,f195])).
% 287.82/36.62 fof(f21071,plain,(
% 287.82/36.62 ![X0,X1]: (subset(X0,union(sum(product(empty_set)),X1)))),
% 287.82/36.62 inference(resolution,[status(thm)],[f21049,f194])).
% 287.82/36.62 fof(f21072,plain,(
% 287.82/36.62 ![X0,X1]: (subset(difference(X0,sum(product(empty_set))),X1))),
% 287.82/36.62 inference(resolution,[status(thm)],[f21049,f197])).
% 287.82/36.62 fof(f21073,plain,(
% 287.82/36.62 ![X0]: (subset(X0,sum(product(empty_set))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f21049,f28])).
% 287.82/36.62 fof(f21100,plain,(
% 287.82/36.62 ![X0]: (member(X0,power_set(sum(product(empty_set)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f21073,f37])).
% 287.82/36.62 fof(f21184,plain,(
% 287.82/36.62 ![X0]: (subset(X0,sum(power_set(product(empty_set)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f21043,f28])).
% 287.82/36.62 fof(f21212,plain,(
% 287.82/36.62 ![X0]: (subset(X0,sum(sum(product(empty_set)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f21062,f28])).
% 287.82/36.62 fof(f22012,plain,(
% 287.82/36.62 spl0_498 <=> singleton(empty_set)=unaryUnion(power_set(empty_set))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f22013,plain,(
% 287.82/36.62 singleton(empty_set)=unaryUnion(power_set(empty_set))|~spl0_498),
% 287.82/36.62 inference(component_clause,[status(thm)],[f22012])).
% 287.82/36.62 fof(f22071,plain,(
% 287.82/36.62 singleton(empty_set)=empty_set|~spl0_231|~spl0_498),
% 287.82/36.62 inference(forward_demodulation,[status(thm)],[f12506,f22013])).
% 287.82/36.62 fof(f22072,plain,(
% 287.82/36.62 $false|spl0_66|~spl0_231|~spl0_498),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f22071,f3427])).
% 287.82/36.62 fof(f22073,plain,(
% 287.82/36.62 spl0_66|~spl0_231|~spl0_498),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f22072])).
% 287.82/36.62 fof(f22208,plain,(
% 287.82/36.62 spl0_513 <=> member(sk0_21(empty_set,singleton(empty_set)),empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f22209,plain,(
% 287.82/36.62 member(sk0_21(empty_set,singleton(empty_set)),empty_set)|~spl0_513),
% 287.82/36.62 inference(component_clause,[status(thm)],[f22208])).
% 287.82/36.62 fof(f22217,plain,(
% 287.82/36.62 $false|~spl0_513),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f22209,f48])).
% 287.82/36.62 fof(f22218,plain,(
% 287.82/36.62 ~spl0_513),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f22217])).
% 287.82/36.62 fof(f22374,plain,(
% 287.82/36.62 $false|spl0_171),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f7814,f186])).
% 287.82/36.62 fof(f22375,plain,(
% 287.82/36.62 spl0_171),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f22374])).
% 287.82/36.62 fof(f22402,plain,(
% 287.82/36.62 spl0_514 <=> sk0_16(singleton(empty_set),power_set(empty_set))=empty_set),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f22403,plain,(
% 287.82/36.62 sk0_16(singleton(empty_set),power_set(empty_set))=empty_set|~spl0_514),
% 287.82/36.62 inference(component_clause,[status(thm)],[f22402])).
% 287.82/36.62 fof(f22411,plain,(
% 287.82/36.62 spl0_515 <=> member(sk0_16(singleton(empty_set),power_set(empty_set)),empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f22412,plain,(
% 287.82/36.62 member(sk0_16(singleton(empty_set),power_set(empty_set)),empty_set)|~spl0_515),
% 287.82/36.62 inference(component_clause,[status(thm)],[f22411])).
% 287.82/36.62 fof(f22418,plain,(
% 287.82/36.62 $false|~spl0_515),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f22412,f48])).
% 287.82/36.62 fof(f22419,plain,(
% 287.82/36.62 ~spl0_515),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f22418])).
% 287.82/36.62 fof(f22607,plain,(
% 287.82/36.62 ![X0,X1]: (subset(X0,sum(union(product(empty_set),X1))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f21023,f28])).
% 287.82/36.62 fof(f22658,plain,(
% 287.82/36.62 ![X0,X1]: (member(X0,union(X1,sum(product(empty_set)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f21070,f2772])).
% 287.82/36.62 fof(f22728,plain,(
% 287.82/36.62 ![X0,X1]: (member(X0,union(sum(product(empty_set)),X1)))),
% 287.82/36.62 inference(resolution,[status(thm)],[f21071,f2772])).
% 287.82/36.62 fof(f22744,plain,(
% 287.82/36.62 ![X0,X1]: (~member(X0,difference(X1,sum(product(empty_set)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f21072,f5018])).
% 287.82/36.62 fof(f23046,plain,(
% 287.82/36.62 ![X0]: (difference(X0,sum(product(empty_set)))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f22744,f5158])).
% 287.82/36.62 fof(f23167,plain,(
% 287.82/36.62 spl0_518 <=> ~member(X0,sum(product(empty_set)))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f23168,plain,(
% 287.82/36.62 ![X0]: (~member(X0,sum(product(empty_set)))|~spl0_518)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f23167])).
% 287.82/36.62 fof(f23178,plain,(
% 287.82/36.62 $false|~spl0_518),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f23168,f21049])).
% 287.82/36.62 fof(f23179,plain,(
% 287.82/36.62 ~spl0_518),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f23178])).
% 287.82/36.62 fof(f23251,plain,(
% 287.82/36.62 ![X0,X1,X2]: (member(X0,product(difference(power_set(empty_set),X1)))|~member(X2,sk0_2(difference(power_set(empty_set),X1),X0))|~spl0_231)),
% 287.82/36.62 inference(resolution,[status(thm)],[f1391,f13102])).
% 287.82/36.62 fof(f23493,plain,(
% 287.82/36.62 ![X0,X1]: (sk0_20(empty_set,singleton(X0))=X0|~member(X1,X0)|~spl0_114)),
% 287.82/36.62 inference(resolution,[status(thm)],[f7037,f5018])).
% 287.82/36.62 fof(f23865,plain,(
% 287.82/36.62 spl0_519 <=> ~member(sk0_16(singleton(empty_set),power_set(empty_set)),X0)|~member(X0,power_set(empty_set))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f23868,plain,(
% 287.82/36.62 ![X0]: (singleton(empty_set)=unaryUnion(power_set(empty_set))|~member(empty_set,singleton(empty_set))|~member(sk0_16(singleton(empty_set),power_set(empty_set)),X0)|~member(X0,power_set(empty_set))|~spl0_514)),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f22403,f141])).
% 287.82/36.62 fof(f23869,plain,(
% 287.82/36.62 spl0_498|~spl0_4|spl0_519|~spl0_514),
% 287.82/36.62 inference(split_clause,[status(thm)],[f23868,f22012,f393,f23865,f22402])).
% 287.82/36.62 fof(f24031,plain,(
% 287.82/36.62 spl0_531 <=> member(sk0_16(power_set(empty_set),power_set(empty_set)),empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f24032,plain,(
% 287.82/36.62 member(sk0_16(power_set(empty_set),power_set(empty_set)),empty_set)|~spl0_531),
% 287.82/36.62 inference(component_clause,[status(thm)],[f24031])).
% 287.82/36.62 fof(f24092,plain,(
% 287.82/36.62 sk0_16(singleton(empty_set),power_set(empty_set))=empty_set|~spl0_309),
% 287.82/36.62 inference(resolution,[status(thm)],[f14869,f5158])).
% 287.82/36.62 fof(f24093,plain,(
% 287.82/36.62 spl0_514|~spl0_309),
% 287.82/36.62 inference(split_clause,[status(thm)],[f24092,f22402,f14868])).
% 287.82/36.62 fof(f24297,plain,(
% 287.82/36.62 $false|~spl0_531),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f24032,f48])).
% 287.82/36.62 fof(f24298,plain,(
% 287.82/36.62 ~spl0_531),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f24297])).
% 287.82/36.62 fof(f24414,plain,(
% 287.82/36.62 spl0_559 <=> member(sk0_16(product(empty_set),power_set(empty_set)),empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f24415,plain,(
% 287.82/36.62 member(sk0_16(product(empty_set),power_set(empty_set)),empty_set)|~spl0_559),
% 287.82/36.62 inference(component_clause,[status(thm)],[f24414])).
% 287.82/36.62 fof(f24421,plain,(
% 287.82/36.62 $false|~spl0_559),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f24415,f48])).
% 287.82/36.62 fof(f24422,plain,(
% 287.82/36.62 ~spl0_559),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f24421])).
% 287.82/36.62 fof(f24818,plain,(
% 287.82/36.62 ![X0,X1]: (member(X0,sum(power_set(unordered_pair(X1,X0)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f20995,f5401])).
% 287.82/36.62 fof(f24822,plain,(
% 287.82/36.62 ![X0,X1]: (member(X0,sum(singleton(unordered_pair(X1,X0)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f20995,f179])).
% 287.82/36.62 fof(f24965,plain,(
% 287.82/36.62 ![X0,X1]: (member(X0,sum(power_set(unordered_pair(X0,X1)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f20996,f5401])).
% 287.82/36.62 fof(f24969,plain,(
% 287.82/36.62 ![X0,X1]: (member(X0,sum(singleton(unordered_pair(X0,X1)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f20996,f179])).
% 287.82/36.62 fof(f25167,plain,(
% 287.82/36.62 ![X0,X1]: (~member(empty_set,X0)|member(X1,product(product(X0))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f1467,f48])).
% 287.82/36.62 fof(f25232,plain,(
% 287.82/36.62 ![X0,X1]: (~member(empty_set,X0)|~member(X1,sum(product(X0))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f1468,f48])).
% 287.82/36.62 fof(f25452,plain,(
% 287.82/36.62 spl0_573 <=> member(sk0_16(power_set(empty_set),singleton(empty_set)),empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f25453,plain,(
% 287.82/36.62 member(sk0_16(power_set(empty_set),singleton(empty_set)),empty_set)|~spl0_573),
% 287.82/36.62 inference(component_clause,[status(thm)],[f25452])).
% 287.82/36.62 fof(f25459,plain,(
% 287.82/36.62 $false|~spl0_573),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f25453,f48])).
% 287.82/36.62 fof(f25460,plain,(
% 287.82/36.62 ~spl0_573),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f25459])).
% 287.82/36.62 fof(f25630,plain,(
% 287.82/36.62 spl0_574 <=> equivalence_class(X0,empty_set,X1)=empty_set),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f25633,plain,(
% 287.82/36.62 ![X0,X1]: (equivalence_class(X0,empty_set,X1)=empty_set|member(sk0_16(empty_set,empty_set),empty_set))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f16992,f5160])).
% 287.82/36.62 fof(f25634,plain,(
% 287.82/36.62 spl0_574|spl0_295),
% 287.82/36.62 inference(split_clause,[status(thm)],[f25633,f25630,f14661])).
% 287.82/36.62 fof(f25673,plain,(
% 287.82/36.62 ![X0,X1]: (~member(empty_set,X0)|subset(X1,product(product(X0))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f25167,f28])).
% 287.82/36.62 fof(f25726,plain,(
% 287.82/36.62 ![X0,X1]: (~member(empty_set,X0)|subset(sum(product(X0)),X1))),
% 287.82/36.62 inference(resolution,[status(thm)],[f25232,f27])).
% 287.82/36.62 fof(f25734,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,X0)|sum(product(X0))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f25232,f5158])).
% 287.82/36.62 fof(f25766,plain,(
% 287.82/36.62 ![X0,X1]: (~member(empty_set,X0)|disjoint(X1,sum(product(X0))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f25232,f82])).
% 287.82/36.62 fof(f25767,plain,(
% 287.82/36.62 ![X0,X1]: (~member(empty_set,X0)|disjoint(sum(product(X0)),X1))),
% 287.82/36.62 inference(resolution,[status(thm)],[f25232,f81])).
% 287.82/36.62 fof(f25778,plain,(
% 287.82/36.62 ![X0]: (sum(product(power_set(X0)))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f25734,f5398])).
% 287.82/36.62 fof(f25806,plain,(
% 287.82/36.62 sum(product(sum(product(empty_set))))=empty_set),
% 287.82/36.62 inference(resolution,[status(thm)],[f25734,f21049])).
% 287.82/36.62 fof(f25815,plain,(
% 287.82/36.62 ![X0]: (sum(product(union(product(empty_set),X0)))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f25734,f14917])).
% 287.82/36.62 fof(f25818,plain,(
% 287.82/36.62 ![X0]: (sum(product(union(singleton(empty_set),X0)))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f25734,f10134])).
% 287.82/36.62 fof(f25820,plain,(
% 287.82/36.62 ![X0,X1]: (sum(product(union(power_set(X0),X1)))=empty_set|~subset(empty_set,X0))),
% 287.82/36.62 inference(resolution,[status(thm)],[f25734,f10135])).
% 287.82/36.62 fof(f25821,plain,(
% 287.82/36.62 ![X0,X1]: (sum(product(union(power_set(X0),X1)))=empty_set)),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f25820,f186])).
% 287.82/36.62 fof(f25825,plain,(
% 287.82/36.62 ![X0]: (sum(product(union(X0,product(empty_set))))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f25734,f14915])).
% 287.82/36.62 fof(f25827,plain,(
% 287.82/36.62 ![X0,X1]: (sum(product(union(X0,power_set(X1))))=empty_set|~subset(empty_set,X1))),
% 287.82/36.62 inference(resolution,[status(thm)],[f25734,f10146])).
% 287.82/36.62 fof(f25828,plain,(
% 287.82/36.62 ![X0,X1]: (sum(product(union(X0,power_set(X1))))=empty_set)),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f25827,f186])).
% 287.82/36.62 fof(f25831,plain,(
% 287.82/36.62 ![X0]: (sum(product(union(X0,singleton(empty_set))))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f25734,f10144])).
% 287.82/36.62 fof(f25834,plain,(
% 287.82/36.62 ![X0]: (sum(product(unordered_pair(X0,empty_set)))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f25734,f181])).
% 287.82/36.62 fof(f25835,plain,(
% 287.82/36.62 ![X0]: (sum(product(unordered_pair(empty_set,X0)))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f25734,f180])).
% 287.82/36.62 fof(f25852,plain,(
% 287.82/36.62 sum(product(product(empty_set)))=empty_set),
% 287.82/36.62 inference(resolution,[status(thm)],[f25734,f14912])).
% 287.82/36.62 fof(f25854,plain,(
% 287.82/36.62 sum(product(singleton(empty_set)))=empty_set),
% 287.82/36.62 inference(resolution,[status(thm)],[f25734,f179])).
% 287.82/36.62 fof(f25860,plain,(
% 287.82/36.62 spl0_575 <=> ~member(empty_set,power_set(X0))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f25861,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,power_set(X0))|~spl0_575)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f25860])).
% 287.82/36.62 fof(f25871,plain,(
% 287.82/36.62 spl0_576 <=> ~member(product(empty_set),product(power_set(X0)))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f25876,plain,(
% 287.82/36.62 ![X0,X1]: (~member(product(empty_set),product(power_set(X0)))|subset(X1,empty_set))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f25778,f19583])).
% 287.82/36.62 fof(f25877,plain,(
% 287.82/36.62 spl0_576|spl0_139),
% 287.82/36.62 inference(split_clause,[status(thm)],[f25876,f25871,f6998])).
% 287.82/36.62 fof(f25882,plain,(
% 287.82/36.62 $false|~spl0_575),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f25861,f5398])).
% 287.82/36.62 fof(f25883,plain,(
% 287.82/36.62 ~spl0_575),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f25882])).
% 287.82/36.62 fof(f25884,plain,(
% 287.82/36.62 spl0_577 <=> member(empty_set,product(empty_set))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f25886,plain,(
% 287.82/36.62 ~member(empty_set,product(empty_set))|spl0_577),
% 287.82/36.62 inference(component_clause,[status(thm)],[f25884])).
% 287.82/36.62 fof(f25895,plain,(
% 287.82/36.62 spl0_578 <=> member(product(empty_set),product(product(empty_set)))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f25900,plain,(
% 287.82/36.62 ![X0]: (~member(product(empty_set),product(product(empty_set)))|subset(X0,empty_set))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f25852,f19583])).
% 287.82/36.62 fof(f25901,plain,(
% 287.82/36.62 ~spl0_578|spl0_139),
% 287.82/36.62 inference(split_clause,[status(thm)],[f25900,f25895,f6998])).
% 287.82/36.62 fof(f25906,plain,(
% 287.82/36.62 $false|spl0_577),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f25886,f14912])).
% 287.82/36.62 fof(f25907,plain,(
% 287.82/36.62 spl0_577),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f25906])).
% 287.82/36.62 fof(f25908,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,singleton(empty_set))|~member(X0,empty_set))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f25854,f25232])).
% 287.82/36.62 fof(f25909,plain,(
% 287.82/36.62 ~spl0_4|spl0_170),
% 287.82/36.62 inference(split_clause,[status(thm)],[f25908,f393,f7748])).
% 287.82/36.62 fof(f25916,plain,(
% 287.82/36.62 spl0_579 <=> member(product(empty_set),product(singleton(empty_set)))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f25921,plain,(
% 287.82/36.62 ![X0]: (~member(product(empty_set),product(singleton(empty_set)))|subset(X0,empty_set))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f25854,f19583])).
% 287.82/36.62 fof(f25922,plain,(
% 287.82/36.62 ~spl0_579|spl0_139),
% 287.82/36.62 inference(split_clause,[status(thm)],[f25921,f25916,f6998])).
% 287.82/36.62 fof(f25927,plain,(
% 287.82/36.62 spl0_580 <=> ~member(empty_set,unordered_pair(X0,empty_set))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f25928,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,unordered_pair(X0,empty_set))|~spl0_580)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f25927])).
% 287.82/36.62 fof(f25938,plain,(
% 287.82/36.62 spl0_581 <=> ~member(product(empty_set),product(unordered_pair(X0,empty_set)))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f25943,plain,(
% 287.82/36.62 ![X0,X1]: (~member(product(empty_set),product(unordered_pair(X0,empty_set)))|subset(X1,empty_set))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f25834,f19583])).
% 287.82/36.62 fof(f25944,plain,(
% 287.82/36.62 spl0_581|spl0_139),
% 287.82/36.62 inference(split_clause,[status(thm)],[f25943,f25938,f6998])).
% 287.82/36.62 fof(f25949,plain,(
% 287.82/36.62 $false|~spl0_580),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f25928,f181])).
% 287.82/36.62 fof(f25950,plain,(
% 287.82/36.62 ~spl0_580),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f25949])).
% 287.82/36.62 fof(f25951,plain,(
% 287.82/36.62 spl0_582 <=> ~member(empty_set,unordered_pair(empty_set,X0))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f25952,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,unordered_pair(empty_set,X0))|~spl0_582)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f25951])).
% 287.82/36.62 fof(f25962,plain,(
% 287.82/36.62 spl0_583 <=> ~member(product(empty_set),product(unordered_pair(empty_set,X0)))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f25967,plain,(
% 287.82/36.62 ![X0,X1]: (~member(product(empty_set),product(unordered_pair(empty_set,X0)))|subset(X1,empty_set))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f25835,f19583])).
% 287.82/36.62 fof(f25968,plain,(
% 287.82/36.62 spl0_583|spl0_139),
% 287.82/36.62 inference(split_clause,[status(thm)],[f25967,f25962,f6998])).
% 287.82/36.62 fof(f25973,plain,(
% 287.82/36.62 $false|~spl0_582),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f25952,f180])).
% 287.82/36.62 fof(f25974,plain,(
% 287.82/36.62 ~spl0_582),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f25973])).
% 287.82/36.62 fof(f25981,plain,(
% 287.82/36.62 ![X0]: (difference(X0,sum(sum(product(empty_set))))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f5161,f21062])).
% 287.82/36.62 fof(f25984,plain,(
% 287.82/36.62 ![X0]: (difference(X0,sum(power_set(product(empty_set))))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f5161,f21043])).
% 287.82/36.62 fof(f26007,plain,(
% 287.82/36.62 ![X0]: (difference(X0,power_set(sum(product(empty_set))))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f5161,f21100])).
% 287.82/36.62 fof(f26011,plain,(
% 287.82/36.62 ![X0]: (difference(X0,power_set(power_set(product(empty_set))))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f5161,f2787])).
% 287.82/36.62 fof(f26025,plain,(
% 287.82/36.62 spl0_584 <=> difference(X0,sum(product(empty_set)))=empty_set),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f26028,plain,(
% 287.82/36.62 spl0_585 <=> member(sk0_16(empty_set,empty_set),sum(product(empty_set)))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f26030,plain,(
% 287.82/36.62 ~member(sk0_16(empty_set,empty_set),sum(product(empty_set)))|spl0_585),
% 287.82/36.62 inference(component_clause,[status(thm)],[f26028])).
% 287.82/36.62 fof(f26031,plain,(
% 287.82/36.62 ![X0]: (difference(X0,sum(product(empty_set)))=empty_set|~member(sk0_16(empty_set,empty_set),sum(product(empty_set))))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f23046,f5161])).
% 287.82/36.62 fof(f26032,plain,(
% 287.82/36.62 spl0_584|~spl0_585),
% 287.82/36.62 inference(split_clause,[status(thm)],[f26031,f26025,f26028])).
% 287.82/36.62 fof(f26035,plain,(
% 287.82/36.62 spl0_586 <=> difference(X0,power_set(product(empty_set)))=empty_set),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f26038,plain,(
% 287.82/36.62 spl0_587 <=> member(sk0_16(empty_set,empty_set),power_set(product(empty_set)))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f26040,plain,(
% 287.82/36.62 ~member(sk0_16(empty_set,empty_set),power_set(product(empty_set)))|spl0_587),
% 287.82/36.62 inference(component_clause,[status(thm)],[f26038])).
% 287.82/36.62 fof(f26041,plain,(
% 287.82/36.62 ![X0]: (difference(X0,power_set(product(empty_set)))=empty_set|~member(sk0_16(empty_set,empty_set),power_set(product(empty_set)))|~spl0_167)),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f10499,f5161])).
% 287.82/36.62 fof(f26042,plain,(
% 287.82/36.62 spl0_586|~spl0_587|~spl0_167),
% 287.82/36.62 inference(split_clause,[status(thm)],[f26041,f26035,f26038,f7695])).
% 287.82/36.62 fof(f26043,plain,(
% 287.82/36.62 spl0_588 <=> difference(X0,product(empty_set))=empty_set),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f26046,plain,(
% 287.82/36.62 spl0_589 <=> member(sk0_16(empty_set,empty_set),product(empty_set))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f26048,plain,(
% 287.82/36.62 ~member(sk0_16(empty_set,empty_set),product(empty_set))|spl0_589),
% 287.82/36.62 inference(component_clause,[status(thm)],[f26046])).
% 287.82/36.62 fof(f26049,plain,(
% 287.82/36.62 ![X0]: (difference(X0,product(empty_set))=empty_set|~member(sk0_16(empty_set,empty_set),product(empty_set))|~spl0_167)),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f10379,f5161])).
% 287.82/36.62 fof(f26050,plain,(
% 287.82/36.62 spl0_588|~spl0_589|~spl0_167),
% 287.82/36.62 inference(split_clause,[status(thm)],[f26049,f26043,f26046,f7695])).
% 287.82/36.62 fof(f26052,plain,(
% 287.82/36.62 $false|spl0_587),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f26040,f14924])).
% 287.82/36.62 fof(f26053,plain,(
% 287.82/36.62 spl0_587),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f26052])).
% 287.82/36.62 fof(f26054,plain,(
% 287.82/36.62 $false|spl0_589),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f26048,f14912])).
% 287.82/36.62 fof(f26055,plain,(
% 287.82/36.62 spl0_589),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f26054])).
% 287.82/36.62 fof(f26056,plain,(
% 287.82/36.62 $false|spl0_585),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f26030,f21049])).
% 287.82/36.62 fof(f26057,plain,(
% 287.82/36.62 spl0_585),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f26056])).
% 287.82/36.62 fof(f26124,plain,(
% 287.82/36.62 spl0_590 <=> difference(empty_set,X0)=empty_set),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f26127,plain,(
% 287.82/36.62 ![X0]: (difference(empty_set,X0)=empty_set|member(sk0_16(empty_set,empty_set),empty_set))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f10604,f5162])).
% 287.82/36.62 fof(f26128,plain,(
% 287.82/36.62 spl0_590|spl0_295),
% 287.82/36.62 inference(split_clause,[status(thm)],[f26127,f26124,f14661])).
% 287.82/36.62 fof(f26135,plain,(
% 287.82/36.62 spl0_591 <=> member(empty_set,sum(product(empty_set)))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f26137,plain,(
% 287.82/36.62 ~member(empty_set,sum(product(empty_set)))|spl0_591),
% 287.82/36.62 inference(component_clause,[status(thm)],[f26135])).
% 287.82/36.62 fof(f26146,plain,(
% 287.82/36.62 spl0_592 <=> member(product(empty_set),product(sum(product(empty_set))))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f26151,plain,(
% 287.82/36.62 ![X0]: (~member(product(empty_set),product(sum(product(empty_set))))|subset(X0,empty_set))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f25806,f19583])).
% 287.82/36.62 fof(f26152,plain,(
% 287.82/36.62 ~spl0_592|spl0_139),
% 287.82/36.62 inference(split_clause,[status(thm)],[f26151,f26146,f6998])).
% 287.82/36.62 fof(f26157,plain,(
% 287.82/36.62 $false|spl0_591),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f26137,f21049])).
% 287.82/36.62 fof(f26158,plain,(
% 287.82/36.62 spl0_591),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f26157])).
% 287.82/36.62 fof(f26159,plain,(
% 287.82/36.62 spl0_593 <=> ~member(empty_set,union(power_set(X0),X1))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f26160,plain,(
% 287.82/36.62 ![X0,X1]: (~member(empty_set,union(power_set(X0),X1))|~spl0_593)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f26159])).
% 287.82/36.62 fof(f26170,plain,(
% 287.82/36.62 spl0_594 <=> ~member(product(empty_set),product(union(power_set(X0),X1)))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f26175,plain,(
% 287.82/36.62 ![X0,X1,X2]: (~member(product(empty_set),product(union(power_set(X0),X1)))|subset(X2,empty_set))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f25821,f19583])).
% 287.82/36.62 fof(f26176,plain,(
% 287.82/36.62 spl0_594|spl0_139),
% 287.82/36.62 inference(split_clause,[status(thm)],[f26175,f26170,f6998])).
% 287.82/36.62 fof(f26181,plain,(
% 287.82/36.62 spl0_595 <=> ~member(empty_set,union(X0,power_set(X1)))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f26182,plain,(
% 287.82/36.62 ![X0,X1]: (~member(empty_set,union(X0,power_set(X1)))|~spl0_595)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f26181])).
% 287.82/36.62 fof(f26192,plain,(
% 287.82/36.62 spl0_596 <=> ~member(product(empty_set),product(union(X0,power_set(X1))))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f26197,plain,(
% 287.82/36.62 ![X0,X1,X2]: (~member(product(empty_set),product(union(X0,power_set(X1))))|subset(X2,empty_set))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f25828,f19583])).
% 287.82/36.62 fof(f26198,plain,(
% 287.82/36.62 spl0_596|spl0_139),
% 287.82/36.62 inference(split_clause,[status(thm)],[f26197,f26192,f6998])).
% 287.82/36.62 fof(f26316,plain,(
% 287.82/36.62 spl0_597 <=> subset(empty_set,X2)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f26329,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,singleton(empty_set))|subset(empty_set,X0))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f25854,f25726])).
% 287.82/36.62 fof(f26330,plain,(
% 287.82/36.62 ~spl0_4|spl0_597),
% 287.82/36.62 inference(split_clause,[status(thm)],[f26329,f393,f26316])).
% 287.82/36.62 fof(f26336,plain,(
% 287.82/36.62 spl0_598 <=> disjoint(X2,empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f26349,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,singleton(empty_set))|disjoint(X0,empty_set))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f25854,f25766])).
% 287.82/36.62 fof(f26350,plain,(
% 287.82/36.62 ~spl0_4|spl0_598),
% 287.82/36.62 inference(split_clause,[status(thm)],[f26349,f393,f26336])).
% 287.82/36.62 fof(f26356,plain,(
% 287.82/36.62 spl0_599 <=> disjoint(empty_set,X2)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f26369,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,singleton(empty_set))|disjoint(empty_set,X0))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f25854,f25767])).
% 287.82/36.62 fof(f26370,plain,(
% 287.82/36.62 ~spl0_4|spl0_599),
% 287.82/36.62 inference(split_clause,[status(thm)],[f26369,f393,f26356])).
% 287.82/36.62 fof(f26375,plain,(
% 287.82/36.62 spl0_600 <=> ~member(empty_set,union(product(empty_set),X0))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f26376,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,union(product(empty_set),X0))|~spl0_600)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f26375])).
% 287.82/36.62 fof(f26392,plain,(
% 287.82/36.62 spl0_601 <=> ~member(product(empty_set),product(union(product(empty_set),X0)))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f26397,plain,(
% 287.82/36.62 ![X0,X1]: (~member(product(empty_set),product(union(product(empty_set),X0)))|subset(X1,empty_set))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f25815,f19583])).
% 287.82/36.62 fof(f26398,plain,(
% 287.82/36.62 spl0_601|spl0_139),
% 287.82/36.62 inference(split_clause,[status(thm)],[f26397,f26392,f6998])).
% 287.82/36.62 fof(f26403,plain,(
% 287.82/36.62 $false|~spl0_600),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f26376,f14917])).
% 287.82/36.62 fof(f26404,plain,(
% 287.82/36.62 ~spl0_600),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f26403])).
% 287.82/36.62 fof(f26405,plain,(
% 287.82/36.62 spl0_602 <=> ~member(empty_set,union(singleton(empty_set),X0))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f26406,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,union(singleton(empty_set),X0))|~spl0_602)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f26405])).
% 287.82/36.62 fof(f26422,plain,(
% 287.82/36.62 spl0_603 <=> ~member(product(empty_set),product(union(singleton(empty_set),X0)))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f26427,plain,(
% 287.82/36.62 ![X0,X1]: (~member(product(empty_set),product(union(singleton(empty_set),X0)))|subset(X1,empty_set))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f25818,f19583])).
% 287.82/36.62 fof(f26428,plain,(
% 287.82/36.62 spl0_603|spl0_139),
% 287.82/36.62 inference(split_clause,[status(thm)],[f26427,f26422,f6998])).
% 287.82/36.62 fof(f26433,plain,(
% 287.82/36.62 $false|~spl0_602),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f26406,f10134])).
% 287.82/36.62 fof(f26434,plain,(
% 287.82/36.62 ~spl0_602),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f26433])).
% 287.82/36.62 fof(f26435,plain,(
% 287.82/36.62 spl0_604 <=> ~member(empty_set,union(X0,product(empty_set)))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f26436,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,union(X0,product(empty_set)))|~spl0_604)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f26435])).
% 287.82/36.62 fof(f26452,plain,(
% 287.82/36.62 spl0_605 <=> ~member(product(empty_set),product(union(X0,product(empty_set))))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f26457,plain,(
% 287.82/36.62 ![X0,X1]: (~member(product(empty_set),product(union(X0,product(empty_set))))|subset(X1,empty_set))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f25825,f19583])).
% 287.82/36.62 fof(f26458,plain,(
% 287.82/36.62 spl0_605|spl0_139),
% 287.82/36.62 inference(split_clause,[status(thm)],[f26457,f26452,f6998])).
% 287.82/36.62 fof(f26463,plain,(
% 287.82/36.62 $false|~spl0_604),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f26436,f14915])).
% 287.82/36.62 fof(f26464,plain,(
% 287.82/36.62 ~spl0_604),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f26463])).
% 287.82/36.62 fof(f26465,plain,(
% 287.82/36.62 spl0_606 <=> ~member(empty_set,union(X0,singleton(empty_set)))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f26466,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,union(X0,singleton(empty_set)))|~spl0_606)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f26465])).
% 287.82/36.62 fof(f26482,plain,(
% 287.82/36.62 spl0_607 <=> ~member(product(empty_set),product(union(X0,singleton(empty_set))))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f26487,plain,(
% 287.82/36.62 ![X0,X1]: (~member(product(empty_set),product(union(X0,singleton(empty_set))))|subset(X1,empty_set))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f25831,f19583])).
% 287.82/36.62 fof(f26488,plain,(
% 287.82/36.62 spl0_607|spl0_139),
% 287.82/36.62 inference(split_clause,[status(thm)],[f26487,f26482,f6998])).
% 287.82/36.62 fof(f26493,plain,(
% 287.82/36.62 $false|~spl0_606),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f26466,f10144])).
% 287.82/36.62 fof(f26494,plain,(
% 287.82/36.62 ~spl0_606),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f26493])).
% 287.82/36.62 fof(f26649,plain,(
% 287.82/36.62 ![X0,X1]: (~member(X0,X1)|subset(product(X1),X0)|subset(product(X1),X0))),
% 287.82/36.62 inference(resolution,[status(thm)],[f1476,f28])).
% 287.82/36.62 fof(f26650,plain,(
% 287.82/36.62 ![X0,X1]: (~member(X0,X1)|subset(product(X1),X0))),
% 287.82/36.62 inference(duplicate_literals_removal,[status(esa)],[f26649])).
% 287.82/36.62 fof(f26705,plain,(
% 287.82/36.62 ![X0,X1]: (~member(empty_set,X0)|subset(product(X0),X1))),
% 287.82/36.62 inference(resolution,[status(thm)],[f1476,f48])).
% 287.82/36.62 fof(f26718,plain,(
% 287.82/36.62 $false|~spl0_593),
% 287.82/36.62 inference(resolution,[status(thm)],[f26160,f14919])).
% 287.82/36.62 fof(f26719,plain,(
% 287.82/36.62 ~spl0_593),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f26718])).
% 287.82/36.62 fof(f26720,plain,(
% 287.82/36.62 $false|~spl0_595),
% 287.82/36.62 inference(resolution,[status(thm)],[f26182,f22728])).
% 287.82/36.62 fof(f26721,plain,(
% 287.82/36.62 ~spl0_595),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f26720])).
% 287.82/36.62 fof(f26903,plain,(
% 287.82/36.62 sk0_20(empty_set,singleton(product(empty_set)))=product(empty_set)|~spl0_114),
% 287.82/36.62 inference(resolution,[status(thm)],[f23493,f14912])).
% 287.82/36.62 fof(f27250,plain,(
% 287.82/36.62 spl0_626 <=> subset(empty_set,power_set(empty_set))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f27252,plain,(
% 287.82/36.62 ~subset(empty_set,power_set(empty_set))|spl0_626),
% 287.82/36.62 inference(component_clause,[status(thm)],[f27250])).
% 287.82/36.62 fof(f27267,plain,(
% 287.82/36.62 $false|spl0_626),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f27252,f186])).
% 287.82/36.62 fof(f27268,plain,(
% 287.82/36.62 spl0_626),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f27267])).
% 287.82/36.62 fof(f27386,plain,(
% 287.82/36.62 $false|~spl0_1|spl0_242),
% 287.82/36.62 inference(backward_subsumption_resolution,[status(thm)],[f13212,f378])).
% 287.82/36.62 fof(f27387,plain,(
% 287.82/36.62 ~spl0_1|spl0_242),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f27386])).
% 287.82/36.62 fof(f28101,plain,(
% 287.82/36.62 spl0_636 <=> intersection(X0,empty_set)=empty_set),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f28104,plain,(
% 287.82/36.62 ![X0]: (intersection(X0,empty_set)=empty_set|member(sk0_16(empty_set,empty_set),empty_set))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f9679,f5163])).
% 287.82/36.62 fof(f28105,plain,(
% 287.82/36.62 spl0_636|spl0_295),
% 287.82/36.62 inference(split_clause,[status(thm)],[f28104,f28101,f14661])).
% 287.82/36.62 fof(f28122,plain,(
% 287.82/36.62 ![X0,X1]: (~member(empty_set,X0)|~member(X1,product(X0)))),
% 287.82/36.62 inference(resolution,[status(thm)],[f26650,f5018])).
% 287.82/36.62 fof(f28165,plain,(
% 287.82/36.62 ![X0,X1]: (~member(empty_set,X0)|member(product(X0),power_set(X1)))),
% 287.82/36.62 inference(resolution,[status(thm)],[f26705,f37])).
% 287.82/36.62 fof(f28316,plain,(
% 287.82/36.62 ![X0,X1]: (~member(empty_set,X0)|~member(X1,unaryUnion(product(X0))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f28122,f183])).
% 287.82/36.62 fof(f28358,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,X0)|product(X0)=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f28122,f5158])).
% 287.82/36.62 fof(f28362,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,X0)|pd0_0(product(X0),empty_set))),
% 287.82/36.62 inference(resolution,[status(thm)],[f28122,f5086])).
% 287.82/36.62 fof(f28366,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,X0)|pd0_0(empty_set,product(X0)))),
% 287.82/36.62 inference(resolution,[status(thm)],[f28122,f5102])).
% 287.82/36.62 fof(f28405,plain,(
% 287.82/36.62 ![X0]: (product(power_set(X0))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f5398])).
% 287.82/36.62 fof(f28406,plain,(
% 287.82/36.62 ![X0,X1]: (product(insertIntoMember(X0,product(empty_set),X1))=empty_set|~spl0_167)),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f10973])).
% 287.82/36.62 fof(f28410,plain,(
% 287.82/36.62 ![X0]: (product(sum(union(product(empty_set),X0)))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f21023])).
% 287.82/36.62 fof(f28412,plain,(
% 287.82/36.62 ![X0]: (product(sum(union(X0,product(empty_set))))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f21031])).
% 287.82/36.62 fof(f28415,plain,(
% 287.82/36.62 product(sum(sum(product(empty_set))))=empty_set),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f21062])).
% 287.82/36.62 fof(f28418,plain,(
% 287.82/36.62 ![X0]: (product(sum(unordered_pair(singleton(empty_set),X0)))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f21040])).
% 287.82/36.62 fof(f28421,plain,(
% 287.82/36.62 ![X0]: (product(sum(unordered_pair(X0,singleton(empty_set))))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f21039])).
% 287.82/36.62 fof(f28422,plain,(
% 287.82/36.62 ![X0]: (product(sum(singleton(unordered_pair(empty_set,X0))))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f24969])).
% 287.82/36.62 fof(f28423,plain,(
% 287.82/36.62 ![X0]: (product(sum(singleton(unordered_pair(X0,empty_set))))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f24822])).
% 287.82/36.62 fof(f28424,plain,(
% 287.82/36.62 product(sum(singleton(singleton(empty_set))))=empty_set),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f21051])).
% 287.82/36.62 fof(f28425,plain,(
% 287.82/36.62 ![X0]: (product(sum(power_set(unordered_pair(empty_set,X0))))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f24965])).
% 287.82/36.62 fof(f28426,plain,(
% 287.82/36.62 ![X0]: (product(sum(power_set(unordered_pair(X0,empty_set))))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f24818])).
% 287.82/36.62 fof(f28431,plain,(
% 287.82/36.62 product(sum(power_set(product(empty_set))))=empty_set),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f21043])).
% 287.82/36.62 fof(f28432,plain,(
% 287.82/36.62 product(sum(power_set(singleton(empty_set))))=empty_set),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f21048])).
% 287.82/36.62 fof(f28433,plain,(
% 287.82/36.62 product(sum(product(empty_set)))=empty_set),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f21049])).
% 287.82/36.62 fof(f28439,plain,(
% 287.82/36.62 ![X0]: (product(union(sum(product(empty_set)),X0))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f22728])).
% 287.82/36.62 fof(f28443,plain,(
% 287.82/36.62 ![X0,X1]: (product(union(unordered_pair(empty_set,X0),X1))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f10133])).
% 287.82/36.62 fof(f28444,plain,(
% 287.82/36.62 ![X0,X1]: (product(union(unordered_pair(X0,empty_set),X1))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f10132])).
% 287.82/36.62 fof(f28445,plain,(
% 287.82/36.62 ![X0]: (product(union(singleton(empty_set),X0))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f10134])).
% 287.82/36.62 fof(f28447,plain,(
% 287.82/36.62 ![X0,X1]: (product(union(power_set(X0),X1))=empty_set|~subset(empty_set,X0))),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f10135])).
% 287.82/36.62 fof(f28448,plain,(
% 287.82/36.62 ![X0,X1]: (product(union(power_set(X0),X1))=empty_set)),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f28447,f186])).
% 287.82/36.62 fof(f28449,plain,(
% 287.82/36.62 ![X0]: (product(union(X0,sum(product(empty_set))))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f22658])).
% 287.82/36.62 fof(f28454,plain,(
% 287.82/36.62 ![X0,X1]: (product(union(X0,power_set(X1)))=empty_set|~subset(empty_set,X1))),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f10146])).
% 287.82/36.62 fof(f28455,plain,(
% 287.82/36.62 ![X0,X1]: (product(union(X0,power_set(X1)))=empty_set)),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f28454,f186])).
% 287.82/36.62 fof(f28456,plain,(
% 287.82/36.62 ![X0,X1]: (product(union(X0,unordered_pair(empty_set,X1)))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f10143])).
% 287.82/36.62 fof(f28457,plain,(
% 287.82/36.62 ![X0,X1]: (product(union(X0,unordered_pair(X1,empty_set)))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f10142])).
% 287.82/36.62 fof(f28458,plain,(
% 287.82/36.62 ![X0]: (product(union(X0,singleton(empty_set)))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f10144])).
% 287.82/36.62 fof(f28459,plain,(
% 287.82/36.62 ![X0,X1]: (product(union(X0,X1))=empty_set|~member(empty_set,X1))),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f47])).
% 287.82/36.62 fof(f28460,plain,(
% 287.82/36.62 ![X0,X1]: (product(union(X0,X1))=empty_set|~member(empty_set,X0))),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f46])).
% 287.82/36.62 fof(f28461,plain,(
% 287.82/36.62 ![X0]: (product(unordered_pair(X0,empty_set))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f181])).
% 287.82/36.62 fof(f28462,plain,(
% 287.82/36.62 ![X0]: (product(unordered_pair(empty_set,X0))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f180])).
% 287.82/36.62 fof(f28479,plain,(
% 287.82/36.62 product(product(empty_set))=empty_set),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f14912])).
% 287.82/36.62 fof(f28481,plain,(
% 287.82/36.62 product(singleton(empty_set))=empty_set),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f179])).
% 287.82/36.62 fof(f28485,plain,(
% 287.82/36.62 ![X0]: (product(X0)=empty_set|sk0_2(singleton(X0),empty_set)=X0)),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f1774])).
% 287.82/36.62 fof(f28487,plain,(
% 287.82/36.62 ![X0,X1]: (~member(X0,sk0_2(power_set(empty_set),X1))|member(X1,empty_set)|~spl0_231)),
% 287.82/36.62 inference(backward_demodulation,[status(thm)],[f28405,f13184])).
% 287.82/36.62 fof(f28488,plain,(
% 287.82/36.62 ![X0,X1]: (~member(X0,sk0_2(power_set(empty_set),X1))|~spl0_231)),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f28487,f48])).
% 287.82/36.62 fof(f28492,plain,(
% 287.82/36.62 ![X0,X1]: (member(X0,empty_set)|subset(sk0_2(power_set(X1),X0),X1))),
% 287.82/36.62 inference(backward_demodulation,[status(thm)],[f28405,f1394])).
% 287.82/36.62 fof(f28493,plain,(
% 287.82/36.62 ![X0,X1]: (subset(sk0_2(power_set(X0),X1),X0))),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f28492,f48])).
% 287.82/36.62 fof(f28509,plain,(
% 287.82/36.62 spl0_637 <=> disjoint(sum(empty_set),X1)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f28514,plain,(
% 287.82/36.62 spl0_638 <=> disjoint(X1,sum(empty_set))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f28519,plain,(
% 287.82/36.62 spl0_639 <=> subset(sum(empty_set),X1)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f28524,plain,(
% 287.82/36.62 spl0_640 <=> subset(X1,product(empty_set))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f28529,plain,(
% 287.82/36.62 spl0_641 <=> ~member(X1,sum(empty_set))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f28534,plain,(
% 287.82/36.62 spl0_642 <=> member(X1,product(empty_set))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f28610,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,singleton(empty_set))|disjoint(sum(empty_set),X0))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f28481,f25767])).
% 287.82/36.62 fof(f28611,plain,(
% 287.82/36.62 ~spl0_4|spl0_637),
% 287.82/36.62 inference(split_clause,[status(thm)],[f28610,f393,f28509])).
% 287.82/36.62 fof(f28612,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,singleton(empty_set))|disjoint(X0,sum(empty_set)))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f28481,f25766])).
% 287.82/36.62 fof(f28613,plain,(
% 287.82/36.62 ~spl0_4|spl0_638),
% 287.82/36.62 inference(split_clause,[status(thm)],[f28612,f393,f28514])).
% 287.82/36.62 fof(f28614,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,singleton(empty_set))|subset(sum(empty_set),X0))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f28481,f25726])).
% 287.82/36.62 fof(f28615,plain,(
% 287.82/36.62 ~spl0_4|spl0_639),
% 287.82/36.62 inference(split_clause,[status(thm)],[f28614,f393,f28519])).
% 287.82/36.62 fof(f28616,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,singleton(empty_set))|subset(X0,product(empty_set)))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f28481,f25673])).
% 287.82/36.62 fof(f28617,plain,(
% 287.82/36.62 ~spl0_4|spl0_640),
% 287.82/36.62 inference(split_clause,[status(thm)],[f28616,f393,f28524])).
% 287.82/36.62 fof(f28618,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,singleton(empty_set))|~member(X0,sum(empty_set)))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f28481,f25232])).
% 287.82/36.62 fof(f28619,plain,(
% 287.82/36.62 ~spl0_4|spl0_641),
% 287.82/36.62 inference(split_clause,[status(thm)],[f28618,f393,f28529])).
% 287.82/36.62 fof(f28620,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,singleton(empty_set))|member(X0,product(empty_set)))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f28481,f25167])).
% 287.82/36.62 fof(f28621,plain,(
% 287.82/36.62 ~spl0_4|spl0_642),
% 287.82/36.62 inference(split_clause,[status(thm)],[f28620,f393,f28534])).
% 287.82/36.62 fof(f28751,plain,(
% 287.82/36.62 ![X0]: (~member(X0,singleton(empty_set))|spl0_10|~spl0_6)),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f421,f459])).
% 287.82/36.62 fof(f28752,plain,(
% 287.82/36.62 spl0_218|spl0_10|~spl0_6),
% 287.82/36.62 inference(split_clause,[status(thm)],[f28751,f9495,f457,f420])).
% 287.82/36.62 fof(f28877,plain,(
% 287.82/36.62 spl0_647 <=> ~subset(product(empty_set),X0)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f28878,plain,(
% 287.82/36.62 ![X0]: (~subset(product(empty_set),X0)|~spl0_647)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f28877])).
% 287.82/36.62 fof(f28919,plain,(
% 287.82/36.62 $false|~spl0_647),
% 287.82/36.62 inference(resolution,[status(thm)],[f28878,f22607])).
% 287.82/36.62 fof(f28920,plain,(
% 287.82/36.62 ~spl0_647),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f28919])).
% 287.82/36.62 fof(f28949,plain,(
% 287.82/36.62 ![X0]: (member(X0,empty_set)|~spl0_17)),
% 287.82/36.62 inference(forward_demodulation,[status(thm)],[f28481,f1878])).
% 287.82/36.62 fof(f28950,plain,(
% 287.82/36.62 $false|~spl0_17),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f28949,f48])).
% 287.82/36.62 fof(f28951,plain,(
% 287.82/36.62 ~spl0_17),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f28950])).
% 287.82/36.62 fof(f29117,plain,(
% 287.82/36.62 ![X0]: (sk0_2(power_set(empty_set),X0)=empty_set|~spl0_231)),
% 287.82/36.62 inference(resolution,[status(thm)],[f28488,f5158])).
% 287.82/36.62 fof(f29165,plain,(
% 287.82/36.62 ![X0,X1]: (member(sk0_2(power_set(X0),X1),power_set(X0)))),
% 287.82/36.62 inference(resolution,[status(thm)],[f28493,f37])).
% 287.82/36.62 fof(f29328,plain,(
% 287.82/36.62 spl0_648 <=> intersection(empty_set,X0)=empty_set),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f29331,plain,(
% 287.82/36.62 ![X0]: (intersection(empty_set,X0)=empty_set|member(sk0_16(empty_set,empty_set),empty_set))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f9641,f5164])).
% 287.82/36.62 fof(f29332,plain,(
% 287.82/36.62 spl0_648|spl0_295),
% 287.82/36.62 inference(split_clause,[status(thm)],[f29331,f29328,f14661])).
% 287.82/36.62 fof(f29492,plain,(
% 287.82/36.62 spl0_649 <=> subset(product(empty_set),power_set(empty_set))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f29498,plain,(
% 287.82/36.62 spl0_650 <=> subset(product(empty_set),singleton(empty_set))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f29507,plain,(
% 287.82/36.62 ![X0,X1]: (~subset(product(empty_set),X0)|member(X1,power_set(X0)))),
% 287.82/36.62 inference(resolution,[status(thm)],[f4919,f37])).
% 287.82/36.62 fof(f29564,plain,(
% 287.82/36.62 spl0_652 <=> member(singleton(empty_set),sk0_16(power_set(singleton(empty_set)),empty_set))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f29567,plain,(
% 287.82/36.62 power_set(singleton(empty_set))=empty_set|~member(singleton(empty_set),sk0_16(power_set(singleton(empty_set)),empty_set))|spl0_10),
% 287.82/36.62 inference(resolution,[status(thm)],[f5387,f5005])).
% 287.82/36.62 fof(f29568,plain,(
% 287.82/36.62 spl0_362|~spl0_652|spl0_10),
% 287.82/36.62 inference(split_clause,[status(thm)],[f29567,f18554,f29564,f457])).
% 287.82/36.62 fof(f29853,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,X0)|partition(empty_set,product(X0))|member(sk0_4(product(X0),empty_set),empty_set))),
% 287.82/36.62 inference(resolution,[status(thm)],[f28362,f91])).
% 287.82/36.62 fof(f29854,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,X0)|partition(empty_set,product(X0)))),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f29853,f48])).
% 287.82/36.62 fof(f29862,plain,(
% 287.82/36.62 spl0_653 <=> pd0_0(empty_set,empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f29883,plain,(
% 287.82/36.62 ~member(empty_set,singleton(empty_set))|pd0_0(empty_set,empty_set)),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f28481,f28362])).
% 287.82/36.62 fof(f29884,plain,(
% 287.82/36.62 ~spl0_4|spl0_653),
% 287.82/36.62 inference(split_clause,[status(thm)],[f29883,f393,f29862])).
% 287.82/36.62 fof(f29890,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,X0)|partition(product(X0),empty_set)|member(sk0_4(empty_set,product(X0)),product(X0)))),
% 287.82/36.62 inference(resolution,[status(thm)],[f28366,f91])).
% 287.82/36.62 fof(f29891,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,X0)|partition(product(X0),empty_set))),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f29890,f28122])).
% 287.82/36.62 fof(f29923,plain,(
% 287.82/36.62 spl0_654 <=> member(empty_set,sum(sum(product(empty_set))))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f29925,plain,(
% 287.82/36.62 ~member(empty_set,sum(sum(product(empty_set))))|spl0_654),
% 287.82/36.62 inference(component_clause,[status(thm)],[f29923])).
% 287.82/36.62 fof(f29964,plain,(
% 287.82/36.62 $false|spl0_654),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f29925,f21062])).
% 287.82/36.62 fof(f29965,plain,(
% 287.82/36.62 spl0_654),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f29964])).
% 287.82/36.62 fof(f29996,plain,(
% 287.82/36.62 ![X0,X1]: (~member(X0,X1)|subset(X0,unaryUnion(X1))|subset(X0,unaryUnion(X1)))),
% 287.82/36.62 inference(resolution,[status(thm)],[f2151,f27])).
% 287.82/36.62 fof(f29997,plain,(
% 287.82/36.62 ![X0,X1]: (~member(X0,X1)|subset(X0,unaryUnion(X1)))),
% 287.82/36.62 inference(duplicate_literals_removal,[status(esa)],[f29996])).
% 287.82/36.62 fof(f30069,plain,(
% 287.82/36.62 ![X0,X1]: (~member(product(empty_set),X0)|subset(X1,unaryUnion(X0)))),
% 287.82/36.62 inference(resolution,[status(thm)],[f2151,f14912])).
% 287.82/36.62 fof(f30086,plain,(
% 287.82/36.62 $false|~spl0_222|~spl0_167),
% 287.82/36.62 inference(resolution,[status(thm)],[f10553,f10973])).
% 287.82/36.62 fof(f30087,plain,(
% 287.82/36.62 ~spl0_222|~spl0_167),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f30086])).
% 287.82/36.62 fof(f30088,plain,(
% 287.82/36.62 $false|~spl0_221|~spl0_167),
% 287.82/36.62 inference(resolution,[status(thm)],[f10542,f10973])).
% 287.82/36.62 fof(f30089,plain,(
% 287.82/36.62 ~spl0_221|~spl0_167),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f30088])).
% 287.82/36.62 fof(f30094,plain,(
% 287.82/36.62 spl0_655 <=> member(X0,product(power_set(empty_set)))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f30095,plain,(
% 287.82/36.62 ![X0]: (member(X0,product(power_set(empty_set)))|~spl0_655)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f30094])).
% 287.82/36.62 fof(f30099,plain,(
% 287.82/36.62 ![X0]: (member(X0,empty_set)|~spl0_655)),
% 287.82/36.62 inference(forward_demodulation,[status(thm)],[f28405,f30095])).
% 287.82/36.62 fof(f30100,plain,(
% 287.82/36.62 $false|~spl0_655),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f30099,f48])).
% 287.82/36.62 fof(f30101,plain,(
% 287.82/36.62 ~spl0_655),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f30100])).
% 287.82/36.62 fof(f30490,plain,(
% 287.82/36.62 spl0_665 <=> member(empty_set,sum(singleton(singleton(empty_set))))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f30492,plain,(
% 287.82/36.62 ~member(empty_set,sum(singleton(singleton(empty_set))))|spl0_665),
% 287.82/36.62 inference(component_clause,[status(thm)],[f30490])).
% 287.82/36.62 fof(f30531,plain,(
% 287.82/36.62 $false|spl0_665),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f30492,f21051])).
% 287.82/36.62 fof(f30532,plain,(
% 287.82/36.62 spl0_665),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f30531])).
% 287.82/36.62 fof(f30533,plain,(
% 287.82/36.62 spl0_666 <=> member(empty_set,sum(power_set(product(empty_set))))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f30535,plain,(
% 287.82/36.62 ~member(empty_set,sum(power_set(product(empty_set))))|spl0_666),
% 287.82/36.62 inference(component_clause,[status(thm)],[f30533])).
% 287.82/36.62 fof(f30574,plain,(
% 287.82/36.62 $false|spl0_666),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f30535,f21043])).
% 287.82/36.62 fof(f30575,plain,(
% 287.82/36.62 spl0_666),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f30574])).
% 287.82/36.62 fof(f30576,plain,(
% 287.82/36.62 spl0_667 <=> member(empty_set,sum(power_set(singleton(empty_set))))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f30578,plain,(
% 287.82/36.62 ~member(empty_set,sum(power_set(singleton(empty_set))))|spl0_667),
% 287.82/36.62 inference(component_clause,[status(thm)],[f30576])).
% 287.82/36.62 fof(f30617,plain,(
% 287.82/36.62 $false|spl0_667),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f30578,f21048])).
% 287.82/36.62 fof(f30618,plain,(
% 287.82/36.62 spl0_667),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f30617])).
% 287.82/36.62 fof(f30619,plain,(
% 287.82/36.62 spl0_668 <=> ~member(empty_set,union(unordered_pair(empty_set,X0),X1))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f30620,plain,(
% 287.82/36.62 ![X0,X1]: (~member(empty_set,union(unordered_pair(empty_set,X0),X1))|~spl0_668)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f30619])).
% 287.82/36.62 fof(f30660,plain,(
% 287.82/36.62 $false|~spl0_668),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f30620,f10133])).
% 287.82/36.62 fof(f30661,plain,(
% 287.82/36.62 ~spl0_668),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f30660])).
% 287.82/36.62 fof(f30662,plain,(
% 287.82/36.62 spl0_669 <=> ~member(empty_set,union(unordered_pair(X0,empty_set),X1))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f30663,plain,(
% 287.82/36.62 ![X0,X1]: (~member(empty_set,union(unordered_pair(X0,empty_set),X1))|~spl0_669)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f30662])).
% 287.82/36.62 fof(f30703,plain,(
% 287.82/36.62 $false|~spl0_669),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f30663,f10132])).
% 287.82/36.62 fof(f30704,plain,(
% 287.82/36.62 ~spl0_669),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f30703])).
% 287.82/36.62 fof(f30735,plain,(
% 287.82/36.62 spl0_670 <=> ~member(empty_set,union(X0,unordered_pair(empty_set,X1)))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f30736,plain,(
% 287.82/36.62 ![X0,X1]: (~member(empty_set,union(X0,unordered_pair(empty_set,X1)))|~spl0_670)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f30735])).
% 287.82/36.62 fof(f30776,plain,(
% 287.82/36.62 $false|~spl0_670),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f30736,f10143])).
% 287.82/36.62 fof(f30777,plain,(
% 287.82/36.62 ~spl0_670),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f30776])).
% 287.82/36.62 fof(f30778,plain,(
% 287.82/36.62 spl0_671 <=> ~member(empty_set,union(X0,unordered_pair(X1,empty_set)))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f30779,plain,(
% 287.82/36.62 ![X0,X1]: (~member(empty_set,union(X0,unordered_pair(X1,empty_set)))|~spl0_671)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f30778])).
% 287.82/36.62 fof(f30819,plain,(
% 287.82/36.62 $false|~spl0_671),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f30779,f10142])).
% 287.82/36.62 fof(f30820,plain,(
% 287.82/36.62 ~spl0_671),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f30819])).
% 287.82/36.62 fof(f30824,plain,(
% 287.82/36.62 spl0_672 <=> ~member(empty_set,X0)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f30825,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,X0)|~spl0_672)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f30824])).
% 287.82/36.62 fof(f30827,plain,(
% 287.82/36.62 ![X0,X1,X2,X3]: (~member(empty_set,X0)|~member(X1,empty_set)|~member(X2,empty_set)|~member(X3,X1)|~member(X3,X2)|X1=X2)),
% 287.82/36.62 inference(resolution,[status(thm)],[f29854,f90])).
% 287.82/36.62 fof(f30828,plain,(
% 287.82/36.62 spl0_672|spl0_141),
% 287.82/36.62 inference(split_clause,[status(thm)],[f30827,f30824,f7175])).
% 287.82/36.62 fof(f30865,plain,(
% 287.82/36.62 ~member(empty_set,singleton(empty_set))|partition(empty_set,empty_set)),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f28481,f29854])).
% 287.82/36.62 fof(f30866,plain,(
% 287.82/36.62 ~spl0_4|spl0_114),
% 287.82/36.62 inference(split_clause,[status(thm)],[f30865,f393,f5919])).
% 287.82/36.62 fof(f30875,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,X0)|non_overlapping(product(X0)))),
% 287.82/36.62 inference(resolution,[status(thm)],[f29891,f133])).
% 287.82/36.62 fof(f30971,plain,(
% 287.82/36.62 ![X0,X1,X2]: (~member(unordered_pair(X0,X1),X2)|member(X1,unaryUnion(X2)))),
% 287.82/36.62 inference(resolution,[status(thm)],[f29997,f2772])).
% 287.82/36.62 fof(f30972,plain,(
% 287.82/36.62 ![X0,X1,X2]: (~member(unordered_pair(X0,X1),X2)|member(X0,unaryUnion(X2)))),
% 287.82/36.62 inference(resolution,[status(thm)],[f29997,f2771])).
% 287.82/36.62 fof(f30975,plain,(
% 287.82/36.62 ![X0,X1]: (~member(singleton(X0),X1)|member(X0,unaryUnion(X1)))),
% 287.82/36.62 inference(resolution,[status(thm)],[f29997,f2779])).
% 287.82/36.62 fof(f30978,plain,(
% 287.82/36.62 ![X0,X1]: (~member(product(empty_set),X0)|member(X1,unaryUnion(X0)))),
% 287.82/36.62 inference(resolution,[status(thm)],[f29997,f2778])).
% 287.82/36.62 fof(f31015,plain,(
% 287.82/36.62 ![X0]: (member(X0,unaryUnion(sum(product(empty_set)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f30975,f21049])).
% 287.82/36.62 fof(f31024,plain,(
% 287.82/36.62 ![X0,X1]: (member(X0,unaryUnion(union(product(empty_set),X1))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f30975,f14917])).
% 287.82/36.62 fof(f31033,plain,(
% 287.82/36.62 ![X0,X1]: (member(X0,unaryUnion(union(X1,product(empty_set)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f30975,f14915])).
% 287.82/36.62 fof(f31041,plain,(
% 287.82/36.62 ![X0,X1]: (member(X0,unaryUnion(unordered_pair(X1,singleton(X0)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f30975,f181])).
% 287.82/36.62 fof(f31042,plain,(
% 287.82/36.62 ![X0,X1]: (member(X0,unaryUnion(unordered_pair(singleton(X0),X1))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f30975,f180])).
% 287.82/36.62 fof(f31051,plain,(
% 287.82/36.62 ![X0]: (member(X0,unaryUnion(power_set(product(empty_set)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f30975,f14924])).
% 287.82/36.62 fof(f31056,plain,(
% 287.82/36.62 ![X0]: (member(X0,unaryUnion(power_set(singleton(X0)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f30975,f5401])).
% 287.82/36.62 fof(f31059,plain,(
% 287.82/36.62 ![X0]: (member(X0,unaryUnion(product(empty_set))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f30975,f14912])).
% 287.82/36.62 fof(f31061,plain,(
% 287.82/36.62 ![X0]: (member(X0,unaryUnion(singleton(singleton(X0)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f30975,f179])).
% 287.82/36.62 fof(f31070,plain,(
% 287.82/36.62 ![X0]: (member(X0,sum(unaryUnion(product(empty_set)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f31059,f20996])).
% 287.82/36.62 fof(f31077,plain,(
% 287.82/36.62 ![X0]: (member(X0,unaryUnion(unaryUnion(product(empty_set)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f31059,f30975])).
% 287.82/36.62 fof(f31088,plain,(
% 287.82/36.62 ![X0,X1]: (subset(X0,union(X1,unaryUnion(product(empty_set)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f31059,f195])).
% 287.82/36.62 fof(f31089,plain,(
% 287.82/36.62 ![X0,X1]: (subset(X0,union(unaryUnion(product(empty_set)),X1)))),
% 287.82/36.62 inference(resolution,[status(thm)],[f31059,f194])).
% 287.82/36.62 fof(f31090,plain,(
% 287.82/36.62 ![X0,X1]: (subset(difference(X0,unaryUnion(product(empty_set))),X1))),
% 287.82/36.62 inference(resolution,[status(thm)],[f31059,f197])).
% 287.82/36.62 fof(f31091,plain,(
% 287.82/36.62 ![X0]: (subset(X0,unaryUnion(product(empty_set))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f31059,f28])).
% 287.82/36.62 fof(f31117,plain,(
% 287.82/36.62 ![X0]: (member(X0,power_set(unaryUnion(product(empty_set)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f31091,f37])).
% 287.82/36.62 fof(f31151,plain,(
% 287.82/36.62 product(unaryUnion(singleton(singleton(empty_set))))=empty_set),
% 287.82/36.62 inference(resolution,[status(thm)],[f31061,f28358])).
% 287.82/36.62 fof(f31175,plain,(
% 287.82/36.62 spl0_673 <=> member(empty_set,unaryUnion(product(empty_set)))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f31177,plain,(
% 287.82/36.62 ~member(empty_set,unaryUnion(product(empty_set)))|spl0_673),
% 287.82/36.62 inference(component_clause,[status(thm)],[f31175])).
% 287.82/36.62 fof(f31222,plain,(
% 287.82/36.62 $false|spl0_673),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f31177,f31059])).
% 287.82/36.62 fof(f31223,plain,(
% 287.82/36.62 spl0_673),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f31222])).
% 287.82/36.62 fof(f31264,plain,(
% 287.82/36.62 ![X0]: (product(unaryUnion(unordered_pair(X0,singleton(empty_set))))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f31041,f28358])).
% 287.82/36.62 fof(f31289,plain,(
% 287.82/36.62 ![X0]: (product(unaryUnion(unordered_pair(singleton(empty_set),X0)))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f31042,f28358])).
% 287.82/36.62 fof(f31535,plain,(
% 287.82/36.62 ![X0]: (member(empty_set,power_set(X0))|~spl0_167)),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f10499,f10720])).
% 287.82/36.62 fof(f31590,plain,(
% 287.82/36.62 spl0_675 <=> member(product(empty_set),singleton(empty_set))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f31655,plain,(
% 287.82/36.62 member(power_set(empty_set),empty_set)|~spl0_463),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f20302,f31061])).
% 287.82/36.62 fof(f31656,plain,(
% 287.82/36.62 $false|~spl0_463),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f31655,f48])).
% 287.82/36.62 fof(f31657,plain,(
% 287.82/36.62 ~spl0_463),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f31656])).
% 287.82/36.62 fof(f31658,plain,(
% 287.82/36.62 member(singleton(empty_set),empty_set)|~spl0_195),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f8753,f31061])).
% 287.82/36.62 fof(f31659,plain,(
% 287.82/36.62 $false|~spl0_195),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f31658,f48])).
% 287.82/36.62 fof(f31660,plain,(
% 287.82/36.62 ~spl0_195),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f31659])).
% 287.82/36.62 fof(f31866,plain,(
% 287.82/36.62 product(unaryUnion(power_set(singleton(empty_set))))=empty_set),
% 287.82/36.62 inference(resolution,[status(thm)],[f28358,f31056])).
% 287.82/36.62 fof(f31968,plain,(
% 287.82/36.62 ![X0]: (subset(X0,power_set(unaryUnion(product(empty_set)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f31117,f28])).
% 287.82/36.62 fof(f32328,plain,(
% 287.82/36.62 ![X0]: (member(X0,power_set(power_set(unaryUnion(product(empty_set))))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f31968,f37])).
% 287.82/36.62 fof(f32530,plain,(
% 287.82/36.62 ![X0,X1]: (member(X0,union(X1,unaryUnion(product(empty_set)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f31088,f2772])).
% 287.82/36.62 fof(f32543,plain,(
% 287.82/36.62 ![X0,X1]: (member(X0,union(unaryUnion(product(empty_set)),X1)))),
% 287.82/36.62 inference(resolution,[status(thm)],[f31089,f2772])).
% 287.82/36.62 fof(f32556,plain,(
% 287.82/36.62 ![X0,X1]: (~member(X0,difference(X1,unaryUnion(product(empty_set)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f31090,f5018])).
% 287.82/36.62 fof(f32569,plain,(
% 287.82/36.62 spl0_676 <=> member(empty_set,unaryUnion(singleton(singleton(empty_set))))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f32571,plain,(
% 287.82/36.62 ~member(empty_set,unaryUnion(singleton(singleton(empty_set))))|spl0_676),
% 287.82/36.62 inference(component_clause,[status(thm)],[f32569])).
% 287.82/36.62 fof(f32593,plain,(
% 287.82/36.62 $false|spl0_676),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f32571,f31061])).
% 287.82/36.62 fof(f32594,plain,(
% 287.82/36.62 spl0_676),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f32593])).
% 287.82/36.62 fof(f32595,plain,(
% 287.82/36.62 spl0_677 <=> member(empty_set,unaryUnion(sum(product(empty_set))))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f32597,plain,(
% 287.82/36.62 ~member(empty_set,unaryUnion(sum(product(empty_set))))|spl0_677),
% 287.82/36.62 inference(component_clause,[status(thm)],[f32595])).
% 287.82/36.62 fof(f32619,plain,(
% 287.82/36.62 $false|spl0_677),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f32597,f31015])).
% 287.82/36.62 fof(f32620,plain,(
% 287.82/36.62 spl0_677),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f32619])).
% 287.82/36.62 fof(f32621,plain,(
% 287.82/36.62 spl0_678 <=> member(empty_set,unaryUnion(power_set(product(empty_set))))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f32623,plain,(
% 287.82/36.62 ~member(empty_set,unaryUnion(power_set(product(empty_set))))|spl0_678),
% 287.82/36.62 inference(component_clause,[status(thm)],[f32621])).
% 287.82/36.62 fof(f32645,plain,(
% 287.82/36.62 $false|spl0_678),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f32623,f31051])).
% 287.82/36.62 fof(f32646,plain,(
% 287.82/36.62 spl0_678),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f32645])).
% 287.82/36.62 fof(f32647,plain,(
% 287.82/36.62 spl0_679 <=> member(empty_set,sum(unaryUnion(product(empty_set))))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f32649,plain,(
% 287.82/36.62 ~member(empty_set,sum(unaryUnion(product(empty_set))))|spl0_679),
% 287.82/36.62 inference(component_clause,[status(thm)],[f32647])).
% 287.82/36.62 fof(f32671,plain,(
% 287.82/36.62 $false|spl0_679),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f32649,f31070])).
% 287.82/36.62 fof(f32672,plain,(
% 287.82/36.62 spl0_679),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f32671])).
% 287.82/36.62 fof(f32673,plain,(
% 287.82/36.62 spl0_680 <=> member(empty_set,unaryUnion(unaryUnion(product(empty_set))))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f32675,plain,(
% 287.82/36.62 ~member(empty_set,unaryUnion(unaryUnion(product(empty_set))))|spl0_680),
% 287.82/36.62 inference(component_clause,[status(thm)],[f32673])).
% 287.82/36.62 fof(f32697,plain,(
% 287.82/36.62 $false|spl0_680),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f32675,f31077])).
% 287.82/36.62 fof(f32698,plain,(
% 287.82/36.62 spl0_680),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f32697])).
% 287.82/36.62 fof(f32908,plain,(
% 287.82/36.62 spl0_682 <=> ~member(empty_set,insertIntoMember(X0,product(empty_set),X1))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f32909,plain,(
% 287.82/36.62 ![X0,X1]: (~member(empty_set,insertIntoMember(X0,product(empty_set),X1))|~spl0_682)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f32908])).
% 287.82/36.62 fof(f32917,plain,(
% 287.82/36.62 ![X0,X1]: (~member(empty_set,insertIntoMember(X0,product(empty_set),X1))|non_overlapping(empty_set)|~spl0_167)),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f28406,f30875])).
% 287.82/36.62 fof(f32918,plain,(
% 287.82/36.62 spl0_682|spl0_142|~spl0_167),
% 287.82/36.62 inference(split_clause,[status(thm)],[f32917,f32908,f7180,f7695])).
% 287.82/36.62 fof(f32933,plain,(
% 287.82/36.62 $false|~spl0_167|~spl0_682),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f32909,f10973])).
% 287.82/36.62 fof(f32934,plain,(
% 287.82/36.62 ~spl0_167|~spl0_682),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f32933])).
% 287.82/36.62 fof(f34488,plain,(
% 287.82/36.62 ![X0]: (difference(X0,unaryUnion(product(empty_set)))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f32556,f5158])).
% 287.82/36.62 fof(f35139,plain,(
% 287.82/36.62 spl0_687 <=> subset(empty_set,singleton(empty_set))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f35141,plain,(
% 287.82/36.62 ~subset(empty_set,singleton(empty_set))|spl0_687),
% 287.82/36.62 inference(component_clause,[status(thm)],[f35139])).
% 287.82/36.62 fof(f35156,plain,(
% 287.82/36.62 $false|spl0_687),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f35141,f186])).
% 287.82/36.62 fof(f35157,plain,(
% 287.82/36.62 spl0_687),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f35156])).
% 287.82/36.62 fof(f35440,plain,(
% 287.82/36.62 spl0_692 <=> member(sk0_21(empty_set,power_set(singleton(empty_set))),empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f35441,plain,(
% 287.82/36.62 member(sk0_21(empty_set,power_set(singleton(empty_set))),empty_set)|~spl0_692),
% 287.82/36.62 inference(component_clause,[status(thm)],[f35440])).
% 287.82/36.62 fof(f35449,plain,(
% 287.82/36.62 $false|~spl0_692),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f35441,f48])).
% 287.82/36.62 fof(f35450,plain,(
% 287.82/36.62 ~spl0_692),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f35449])).
% 287.82/36.62 fof(f35645,plain,(
% 287.82/36.62 spl0_694 <=> power_set(singleton(empty_set))=unaryUnion(empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f35646,plain,(
% 287.82/36.62 power_set(singleton(empty_set))=unaryUnion(empty_set)|~spl0_694),
% 287.82/36.62 inference(component_clause,[status(thm)],[f35645])).
% 287.82/36.62 fof(f35661,plain,(
% 287.82/36.62 spl0_698 <=> member(sk0_17(power_set(singleton(empty_set)),empty_set),empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f35662,plain,(
% 287.82/36.62 member(sk0_17(power_set(singleton(empty_set)),empty_set),empty_set)|~spl0_698),
% 287.82/36.62 inference(component_clause,[status(thm)],[f35661])).
% 287.82/36.62 fof(f35666,plain,(
% 287.82/36.62 power_set(singleton(empty_set))=empty_set|~spl0_694),
% 287.82/36.62 inference(forward_demodulation,[status(thm)],[f4886,f35646])).
% 287.82/36.62 fof(f35667,plain,(
% 287.82/36.62 $false|spl0_362|~spl0_694),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f35666,f18556])).
% 287.82/36.62 fof(f35668,plain,(
% 287.82/36.62 spl0_362|~spl0_694),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f35667])).
% 287.82/36.62 fof(f35669,plain,(
% 287.82/36.62 $false|~spl0_698),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f35662,f48])).
% 287.82/36.62 fof(f35670,plain,(
% 287.82/36.62 ~spl0_698),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f35669])).
% 287.82/36.62 fof(f35766,plain,(
% 287.82/36.62 spl0_701 <=> member(sk0_21(empty_set,power_set(power_set(empty_set))),empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f35767,plain,(
% 287.82/36.62 member(sk0_21(empty_set,power_set(power_set(empty_set))),empty_set)|~spl0_701),
% 287.82/36.62 inference(component_clause,[status(thm)],[f35766])).
% 287.82/36.62 fof(f35775,plain,(
% 287.82/36.62 $false|~spl0_701),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f35767,f48])).
% 287.82/36.62 fof(f35776,plain,(
% 287.82/36.62 ~spl0_701),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f35775])).
% 287.82/36.62 fof(f35971,plain,(
% 287.82/36.62 spl0_703 <=> power_set(power_set(empty_set))=unaryUnion(empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f35972,plain,(
% 287.82/36.62 power_set(power_set(empty_set))=unaryUnion(empty_set)|~spl0_703),
% 287.82/36.62 inference(component_clause,[status(thm)],[f35971])).
% 287.82/36.62 fof(f35987,plain,(
% 287.82/36.62 spl0_707 <=> member(sk0_17(power_set(power_set(empty_set)),empty_set),empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f35988,plain,(
% 287.82/36.62 member(sk0_17(power_set(power_set(empty_set)),empty_set),empty_set)|~spl0_707),
% 287.82/36.62 inference(component_clause,[status(thm)],[f35987])).
% 287.82/36.62 fof(f35992,plain,(
% 287.82/36.62 power_set(power_set(empty_set))=empty_set|~spl0_703),
% 287.82/36.62 inference(forward_demodulation,[status(thm)],[f4886,f35972])).
% 287.82/36.62 fof(f35993,plain,(
% 287.82/36.62 $false|spl0_407|~spl0_703),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f35992,f19061])).
% 287.82/36.62 fof(f35994,plain,(
% 287.82/36.62 spl0_407|~spl0_703),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f35993])).
% 287.82/36.62 fof(f35995,plain,(
% 287.82/36.62 $false|~spl0_707),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f35988,f48])).
% 287.82/36.62 fof(f35996,plain,(
% 287.82/36.62 ~spl0_707),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f35995])).
% 287.82/36.62 fof(f36042,plain,(
% 287.82/36.62 ![X0,X1]: (empty_set=unaryUnion(equivalence_class(X0,power_set(empty_set),X1))|empty_set=unaryUnion(equivalence_class(X0,power_set(empty_set),X1))|member(sk0_16(empty_set,equivalence_class(X0,power_set(empty_set),X1)),empty_set)|~spl0_231)),
% 287.82/36.62 inference(resolution,[status(thm)],[f15128,f142])).
% 287.82/36.62 fof(f36043,plain,(
% 287.82/36.62 ![X0,X1]: (empty_set=unaryUnion(equivalence_class(X0,power_set(empty_set),X1))|member(sk0_16(empty_set,equivalence_class(X0,power_set(empty_set),X1)),empty_set)|~spl0_231)),
% 287.82/36.62 inference(duplicate_literals_removal,[status(esa)],[f36042])).
% 287.82/36.62 fof(f36044,plain,(
% 287.82/36.62 ![X0,X1]: (empty_set=unaryUnion(equivalence_class(X0,power_set(empty_set),X1))|~spl0_231)),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f36043,f48])).
% 287.82/36.62 fof(f36523,plain,(
% 287.82/36.62 spl0_708 <=> sk0_20(empty_set,singleton(power_set(X1)))=power_set(X1)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f36528,plain,(
% 287.82/36.62 spl0_709 <=> sk0_2(singleton(power_set(empty_set)),power_set(X1))=power_set(empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f36531,plain,(
% 287.82/36.62 ![X0,X1]: (~member(empty_set,X0)|sk0_2(singleton(power_set(empty_set)),power_set(X1))=power_set(empty_set)|~spl0_231)),
% 287.82/36.62 inference(resolution,[status(thm)],[f28165,f13260])).
% 287.82/36.62 fof(f36532,plain,(
% 287.82/36.62 spl0_672|spl0_709|~spl0_231),
% 287.82/36.62 inference(split_clause,[status(thm)],[f36531,f30824,f36528,f12505])).
% 287.82/36.62 fof(f36533,plain,(
% 287.82/36.62 spl0_710 <=> sk0_0(intersection(power_set(empty_set),X1),singleton(power_set(X2)))=power_set(X2)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f36536,plain,(
% 287.82/36.62 ![X0,X1,X2]: (~member(empty_set,X0)|sk0_0(intersection(power_set(empty_set),X1),singleton(power_set(X2)))=power_set(X2)|~spl0_231)),
% 287.82/36.62 inference(resolution,[status(thm)],[f28165,f13259])).
% 287.82/36.62 fof(f36537,plain,(
% 287.82/36.62 spl0_672|spl0_710|~spl0_231),
% 287.82/36.62 inference(split_clause,[status(thm)],[f36536,f30824,f36533,f12505])).
% 287.82/36.62 fof(f36538,plain,(
% 287.82/36.62 spl0_711 <=> sk0_0(intersection(X1,power_set(empty_set)),singleton(power_set(X2)))=power_set(X2)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f36541,plain,(
% 287.82/36.62 ![X0,X1,X2]: (~member(empty_set,X0)|sk0_0(intersection(X1,power_set(empty_set)),singleton(power_set(X2)))=power_set(X2)|~spl0_231)),
% 287.82/36.62 inference(resolution,[status(thm)],[f28165,f13258])).
% 287.82/36.62 fof(f36542,plain,(
% 287.82/36.62 spl0_672|spl0_711|~spl0_231),
% 287.82/36.62 inference(split_clause,[status(thm)],[f36541,f30824,f36538,f12505])).
% 287.82/36.62 fof(f36543,plain,(
% 287.82/36.62 spl0_712 <=> sk0_0(difference(power_set(empty_set),X1),singleton(power_set(X2)))=power_set(X2)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f36546,plain,(
% 287.82/36.62 ![X0,X1,X2]: (~member(empty_set,X0)|sk0_0(difference(power_set(empty_set),X1),singleton(power_set(X2)))=power_set(X2)|~spl0_231)),
% 287.82/36.62 inference(resolution,[status(thm)],[f28165,f13257])).
% 287.82/36.62 fof(f36547,plain,(
% 287.82/36.62 spl0_672|spl0_712|~spl0_231),
% 287.82/36.62 inference(split_clause,[status(thm)],[f36546,f30824,f36543,f12505])).
% 287.82/36.62 fof(f36554,plain,(
% 287.82/36.62 spl0_713 <=> sk0_0(power_set(empty_set),singleton(power_set(X1)))=power_set(X1)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f36557,plain,(
% 287.82/36.62 ![X0,X1]: (~member(empty_set,X0)|sk0_0(power_set(empty_set),singleton(power_set(X1)))=power_set(X1))),
% 287.82/36.62 inference(resolution,[status(thm)],[f28165,f488])).
% 287.82/36.62 fof(f36558,plain,(
% 287.82/36.62 spl0_672|spl0_713),
% 287.82/36.62 inference(split_clause,[status(thm)],[f36557,f30824,f36554])).
% 287.82/36.62 fof(f36560,plain,(
% 287.82/36.62 spl0_714 <=> member(empty_set,power_set(X2))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f36563,plain,(
% 287.82/36.62 ![X0,X1,X2]: (~member(empty_set,insertIntoMember(X0,product(empty_set),X1))|member(empty_set,power_set(X2))|~spl0_167)),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f28406,f28165])).
% 287.82/36.62 fof(f36564,plain,(
% 287.82/36.62 spl0_682|spl0_714|~spl0_167),
% 287.82/36.62 inference(split_clause,[status(thm)],[f36563,f32908,f36560,f7695])).
% 287.82/36.62 fof(f36961,plain,(
% 287.82/36.62 spl0_715 <=> ~member(empty_set,sum(union(product(empty_set),X0)))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f36962,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,sum(union(product(empty_set),X0)))|~spl0_715)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f36961])).
% 287.82/36.62 fof(f36999,plain,(
% 287.82/36.62 $false|~spl0_715),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f36962,f21023])).
% 287.82/36.62 fof(f37000,plain,(
% 287.82/36.62 ~spl0_715),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f36999])).
% 287.82/36.62 fof(f37001,plain,(
% 287.82/36.62 spl0_716 <=> ~member(empty_set,sum(union(X0,product(empty_set))))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f37002,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,sum(union(X0,product(empty_set))))|~spl0_716)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f37001])).
% 287.82/36.62 fof(f37039,plain,(
% 287.82/36.62 $false|~spl0_716),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f37002,f21031])).
% 287.82/36.62 fof(f37040,plain,(
% 287.82/36.62 ~spl0_716),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f37039])).
% 287.82/36.62 fof(f37041,plain,(
% 287.82/36.62 spl0_717 <=> ~member(empty_set,sum(unordered_pair(singleton(empty_set),X0)))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f37042,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,sum(unordered_pair(singleton(empty_set),X0)))|~spl0_717)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f37041])).
% 287.82/36.62 fof(f37079,plain,(
% 287.82/36.62 $false|~spl0_717),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f37042,f21040])).
% 287.82/36.62 fof(f37080,plain,(
% 287.82/36.62 ~spl0_717),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f37079])).
% 287.82/36.62 fof(f37081,plain,(
% 287.82/36.62 spl0_718 <=> ~member(empty_set,sum(unordered_pair(X0,singleton(empty_set))))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f37082,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,sum(unordered_pair(X0,singleton(empty_set))))|~spl0_718)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f37081])).
% 287.82/36.62 fof(f37119,plain,(
% 287.82/36.62 $false|~spl0_718),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f37082,f21039])).
% 287.82/36.62 fof(f37120,plain,(
% 287.82/36.62 ~spl0_718),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f37119])).
% 287.82/36.62 fof(f37121,plain,(
% 287.82/36.62 spl0_719 <=> ~member(empty_set,sum(singleton(unordered_pair(empty_set,X0))))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f37122,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,sum(singleton(unordered_pair(empty_set,X0))))|~spl0_719)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f37121])).
% 287.82/36.62 fof(f37159,plain,(
% 287.82/36.62 $false|~spl0_719),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f37122,f24969])).
% 287.82/36.62 fof(f37160,plain,(
% 287.82/36.62 ~spl0_719),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f37159])).
% 287.82/36.62 fof(f37161,plain,(
% 287.82/36.62 spl0_720 <=> ~member(empty_set,sum(singleton(unordered_pair(X0,empty_set))))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f37162,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,sum(singleton(unordered_pair(X0,empty_set))))|~spl0_720)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f37161])).
% 287.82/36.62 fof(f37199,plain,(
% 287.82/36.62 $false|~spl0_720),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f37162,f24822])).
% 287.82/36.62 fof(f37200,plain,(
% 287.82/36.62 ~spl0_720),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f37199])).
% 287.82/36.62 fof(f37301,plain,(
% 287.82/36.62 spl0_722 <=> ~member(X0,power_set(empty_set))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f37302,plain,(
% 287.82/36.62 ![X0]: (~member(X0,power_set(empty_set))|~spl0_722)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f37301])).
% 287.82/36.62 fof(f37306,plain,(
% 287.82/36.62 $false|~spl0_722|~spl0_167),
% 287.82/36.62 inference(resolution,[status(thm)],[f37302,f31535])).
% 287.82/36.62 fof(f37307,plain,(
% 287.82/36.62 ~spl0_722|~spl0_167),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f37306])).
% 287.82/36.62 fof(f37313,plain,(
% 287.82/36.62 sk0_2(singleton(power_set(empty_set)),product(empty_set))=power_set(empty_set)|spl0_97),
% 287.82/36.62 inference(resolution,[status(thm)],[f4683,f1774])).
% 287.82/36.62 fof(f37314,plain,(
% 287.82/36.62 spl0_95|spl0_97),
% 287.82/36.62 inference(split_clause,[status(thm)],[f37313,f4667,f4681])).
% 287.82/36.62 fof(f38041,plain,(
% 287.82/36.62 spl0_723 <=> ~member(empty_set,sum(power_set(unordered_pair(empty_set,X0))))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f38042,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,sum(power_set(unordered_pair(empty_set,X0))))|~spl0_723)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f38041])).
% 287.82/36.62 fof(f38079,plain,(
% 287.82/36.62 $false|~spl0_723),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f38042,f24965])).
% 287.82/36.62 fof(f38080,plain,(
% 287.82/36.62 ~spl0_723),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f38079])).
% 287.82/36.62 fof(f38081,plain,(
% 287.82/36.62 spl0_724 <=> ~member(empty_set,sum(power_set(unordered_pair(X0,empty_set))))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f38082,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,sum(power_set(unordered_pair(X0,empty_set))))|~spl0_724)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f38081])).
% 287.82/36.62 fof(f38119,plain,(
% 287.82/36.62 $false|~spl0_724),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f38082,f24818])).
% 287.82/36.62 fof(f38120,plain,(
% 287.82/36.62 ~spl0_724),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f38119])).
% 287.82/36.62 fof(f38121,plain,(
% 287.82/36.62 spl0_725 <=> ~member(empty_set,union(sum(product(empty_set)),X0))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f38122,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,union(sum(product(empty_set)),X0))|~spl0_725)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f38121])).
% 287.82/36.62 fof(f38159,plain,(
% 287.82/36.62 $false|~spl0_725),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f38122,f22728])).
% 287.82/36.62 fof(f38160,plain,(
% 287.82/36.62 ~spl0_725),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f38159])).
% 287.82/36.62 fof(f38161,plain,(
% 287.82/36.62 spl0_726 <=> ~member(empty_set,union(X0,sum(product(empty_set))))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f38162,plain,(
% 287.82/36.62 ![X0]: (~member(empty_set,union(X0,sum(product(empty_set))))|~spl0_726)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f38161])).
% 287.82/36.62 fof(f38199,plain,(
% 287.82/36.62 $false|~spl0_726),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f38162,f22658])).
% 287.82/36.62 fof(f38200,plain,(
% 287.82/36.62 ~spl0_726),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f38199])).
% 287.82/36.62 fof(f38201,plain,(
% 287.82/36.62 ![X0]: (pd0_0(power_set(empty_set),empty_set)|~member(X0,sk0_21(power_set(empty_set),empty_set)))),
% 287.82/36.62 inference(resolution,[status(thm)],[f5560,f5018])).
% 287.82/36.62 fof(f38202,plain,(
% 287.82/36.62 spl0_245|spl0_244),
% 287.82/36.62 inference(split_clause,[status(thm)],[f38201,f13225,f13222])).
% 287.82/36.62 fof(f38269,plain,(
% 287.82/36.62 ![X0,X1,X2]: (product(union(X0,union(power_set(X1),X2)))=empty_set|~subset(empty_set,X1))),
% 287.82/36.62 inference(resolution,[status(thm)],[f28459,f10135])).
% 287.82/36.62 fof(f38270,plain,(
% 287.82/36.62 ![X0,X1,X2]: (product(union(X0,union(power_set(X1),X2)))=empty_set)),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f38269,f186])).
% 287.82/36.62 fof(f38277,plain,(
% 287.82/36.62 ![X0,X1,X2]: (product(union(X0,union(X1,power_set(X2))))=empty_set|~subset(empty_set,X2))),
% 287.82/36.62 inference(resolution,[status(thm)],[f28459,f10146])).
% 287.82/36.62 fof(f38278,plain,(
% 287.82/36.62 ![X0,X1,X2]: (product(union(X0,union(X1,power_set(X2))))=empty_set)),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f38277,f186])).
% 287.82/36.62 fof(f38369,plain,(
% 287.82/36.62 ![X0,X1,X2]: (product(union(union(power_set(X0),X1),X2))=empty_set|~subset(empty_set,X0))),
% 287.82/36.62 inference(resolution,[status(thm)],[f28460,f10135])).
% 287.82/36.62 fof(f38370,plain,(
% 287.82/36.62 ![X0,X1,X2]: (product(union(union(power_set(X0),X1),X2))=empty_set)),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f38369,f186])).
% 287.82/36.62 fof(f38377,plain,(
% 287.82/36.62 ![X0,X1,X2]: (product(union(union(X0,power_set(X1)),X2))=empty_set|~subset(empty_set,X1))),
% 287.82/36.62 inference(resolution,[status(thm)],[f28460,f10146])).
% 287.82/36.62 fof(f38378,plain,(
% 287.82/36.62 ![X0,X1,X2]: (product(union(union(X0,power_set(X1)),X2))=empty_set)),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f38377,f186])).
% 287.82/36.62 fof(f38411,plain,(
% 287.82/36.62 product(empty_set)=empty_set|empty_set=empty_set),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f1864,f28485])).
% 287.82/36.62 fof(f38412,plain,(
% 287.82/36.62 spl0_174|spl0_0),
% 287.82/36.62 inference(split_clause,[status(thm)],[f38411,f7949,f374])).
% 287.82/36.62 fof(f38837,plain,(
% 287.82/36.62 spl0_727 <=> pd0_0(equivalence_class(X0,empty_set,X1),empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f38840,plain,(
% 287.82/36.62 spl0_728 <=> member(sk0_21(empty_set,empty_set),empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f38841,plain,(
% 287.82/36.62 member(sk0_21(empty_set,empty_set),empty_set)|~spl0_728),
% 287.82/36.62 inference(component_clause,[status(thm)],[f38840])).
% 287.82/36.62 fof(f38843,plain,(
% 287.82/36.62 ![X0,X1]: (pd0_0(equivalence_class(X0,empty_set,X1),empty_set)|member(sk0_21(empty_set,empty_set),empty_set))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f16992,f5562])).
% 287.82/36.62 fof(f38844,plain,(
% 287.82/36.62 spl0_727|spl0_728),
% 287.82/36.62 inference(split_clause,[status(thm)],[f38843,f38837,f38840])).
% 287.82/36.62 fof(f38846,plain,(
% 287.82/36.62 $false|~spl0_728),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f38841,f48])).
% 287.82/36.62 fof(f38847,plain,(
% 287.82/36.62 ~spl0_728),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f38846])).
% 287.82/36.62 fof(f38886,plain,(
% 287.82/36.62 ![X0,X1]: (~subset(product(empty_set),X0)|subset(X1,power_set(X0)))),
% 287.82/36.62 inference(resolution,[status(thm)],[f29507,f28])).
% 287.82/36.62 fof(f38984,plain,(
% 287.82/36.62 ![X0,X1]: (~member(product(empty_set),X0)|member(X1,unaryUnion(X0)))),
% 287.82/36.62 inference(resolution,[status(thm)],[f30069,f2772])).
% 287.82/36.62 fof(f38997,plain,(
% 287.82/36.62 spl0_729 <=> ~member(product(empty_set),equivalence_class(X0,power_set(empty_set),X1))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f39000,plain,(
% 287.82/36.62 ![X0,X1,X2]: (~member(product(empty_set),equivalence_class(X0,power_set(empty_set),X1))|subset(X2,empty_set)|~spl0_231)),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f36044,f30069])).
% 287.82/36.62 fof(f39001,plain,(
% 287.82/36.62 spl0_729|spl0_139|~spl0_231),
% 287.82/36.62 inference(split_clause,[status(thm)],[f39000,f38997,f6998,f12505])).
% 287.82/36.62 fof(f39002,plain,(
% 287.82/36.62 spl0_730 <=> ~member(product(empty_set),intersection(power_set(empty_set),X0))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f39005,plain,(
% 287.82/36.62 ![X0,X1]: (~member(product(empty_set),intersection(power_set(empty_set),X0))|subset(X1,empty_set)|~spl0_231)),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f14535,f30069])).
% 287.82/36.62 fof(f39006,plain,(
% 287.82/36.62 spl0_730|spl0_139|~spl0_231),
% 287.82/36.62 inference(split_clause,[status(thm)],[f39005,f39002,f6998,f12505])).
% 287.82/36.62 fof(f39007,plain,(
% 287.82/36.62 spl0_731 <=> ~member(product(empty_set),intersection(X0,power_set(empty_set)))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f39010,plain,(
% 287.82/36.62 ![X0,X1]: (~member(product(empty_set),intersection(X0,power_set(empty_set)))|subset(X1,empty_set)|~spl0_231)),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f14599,f30069])).
% 287.82/36.62 fof(f39011,plain,(
% 287.82/36.62 spl0_731|spl0_139|~spl0_231),
% 287.82/36.62 inference(split_clause,[status(thm)],[f39010,f39007,f6998,f12505])).
% 287.82/36.62 fof(f39012,plain,(
% 287.82/36.62 spl0_732 <=> ~member(product(empty_set),difference(power_set(empty_set),X0))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f39013,plain,(
% 287.82/36.62 ![X0]: (~member(product(empty_set),difference(power_set(empty_set),X0))|~spl0_732)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f39012])).
% 287.82/36.62 fof(f39015,plain,(
% 287.82/36.62 ![X0,X1]: (~member(product(empty_set),difference(power_set(empty_set),X0))|subset(X1,empty_set)|~spl0_231)),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f14766,f30069])).
% 287.82/36.62 fof(f39016,plain,(
% 287.82/36.62 spl0_732|spl0_139|~spl0_231),
% 287.82/36.62 inference(split_clause,[status(thm)],[f39015,f39012,f6998,f12505])).
% 287.82/36.62 fof(f39033,plain,(
% 287.82/36.62 spl0_735 <=> subset(X0,power_set(empty_set))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f39034,plain,(
% 287.82/36.62 ![X0]: (subset(X0,power_set(empty_set))|~spl0_735)),
% 287.82/36.62 inference(component_clause,[status(thm)],[f39033])).
% 287.82/36.62 fof(f39045,plain,(
% 287.82/36.62 spl0_737 <=> member(empty_set,unaryUnion(power_set(singleton(empty_set))))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f39047,plain,(
% 287.82/36.62 ~member(empty_set,unaryUnion(power_set(singleton(empty_set))))|spl0_737),
% 287.82/36.62 inference(component_clause,[status(thm)],[f39045])).
% 287.82/36.62 fof(f39083,plain,(
% 287.82/36.62 $false|spl0_737),
% 287.82/36.62 inference(forward_subsumption_resolution,[status(thm)],[f39047,f31056])).
% 287.82/36.62 fof(f39084,plain,(
% 287.82/36.62 spl0_737),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f39083])).
% 287.82/36.62 fof(f39159,plain,(
% 287.82/36.62 ![X0]: (member(X0,unaryUnion(power_set(sum(product(empty_set))))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f30971,f21100])).
% 287.82/36.62 fof(f39170,plain,(
% 287.82/36.62 ![X0,X1]: (member(X0,unaryUnion(power_set(unordered_pair(X1,X0)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f30971,f5401])).
% 287.82/36.62 fof(f39174,plain,(
% 287.82/36.62 ![X0,X1]: (member(X0,unaryUnion(singleton(unordered_pair(X1,X0)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f30971,f179])).
% 287.82/36.62 fof(f39188,plain,(
% 287.82/36.62 ![X0]: (product(unaryUnion(power_set(unordered_pair(X0,empty_set))))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f39170,f28358])).
% 287.82/36.62 fof(f39220,plain,(
% 287.82/36.62 ![X0]: (product(unaryUnion(singleton(unordered_pair(X0,empty_set))))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f39174,f28358])).
% 287.82/36.62 fof(f39398,plain,(
% 287.82/36.62 ![X0,X1]: (member(X0,unaryUnion(power_set(unordered_pair(X0,X1)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f30972,f5401])).
% 287.82/36.62 fof(f39402,plain,(
% 287.82/36.62 ![X0,X1]: (member(X0,unaryUnion(singleton(unordered_pair(X0,X1)))))),
% 287.82/36.62 inference(resolution,[status(thm)],[f30972,f179])).
% 287.82/36.62 fof(f39408,plain,(
% 287.82/36.62 $false|~spl0_735|spl0_75),
% 287.82/36.62 inference(backward_subsumption_resolution,[status(thm)],[f4210,f39034])).
% 287.82/36.62 fof(f39409,plain,(
% 287.82/36.62 ~spl0_735|spl0_75),
% 287.82/36.62 inference(contradiction_clause,[status(thm)],[f39408])).
% 287.82/36.62 fof(f39787,plain,(
% 287.82/36.62 ![X0,X1]: (~member(X0,sum(difference(power_set(empty_set),X1)))|~member(X0,sum(difference(power_set(empty_set),X1)))|~spl0_231)),
% 287.82/36.62 inference(resolution,[status(thm)],[f17527,f67])).
% 287.82/36.62 fof(f39788,plain,(
% 287.82/36.62 ![X0,X1]: (~member(X0,sum(difference(power_set(empty_set),X1)))|~spl0_231)),
% 287.82/36.62 inference(duplicate_literals_removal,[status(esa)],[f39787])).
% 287.82/36.62 fof(f39838,plain,(
% 287.82/36.62 ![X0]: (product(unaryUnion(singleton(unordered_pair(empty_set,X0))))=empty_set)),
% 287.82/36.62 inference(resolution,[status(thm)],[f39402,f28358])).
% 287.82/36.62 fof(f39920,plain,(
% 287.82/36.62 ![X0]: (~member(product(empty_set),singleton(empty_set))|member(X0,empty_set)|~spl0_167|~spl0_114)),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f11064,f30978])).
% 287.82/36.62 fof(f39921,plain,(
% 287.82/36.62 ~spl0_675|spl0_137|~spl0_167|~spl0_114),
% 287.82/36.62 inference(split_clause,[status(thm)],[f39920,f31590,f6985,f7695,f5919])).
% 287.82/36.62 fof(f40132,plain,(
% 287.82/36.62 spl0_738 <=> pd0_0(difference(X0,unaryUnion(product(empty_set))),empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f40135,plain,(
% 287.82/36.62 spl0_739 <=> member(sk0_21(empty_set,empty_set),unaryUnion(product(empty_set)))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f40137,plain,(
% 287.82/36.62 ~member(sk0_21(empty_set,empty_set),unaryUnion(product(empty_set)))|spl0_739),
% 287.82/36.62 inference(component_clause,[status(thm)],[f40135])).
% 287.82/36.62 fof(f40138,plain,(
% 287.82/36.62 ![X0]: (pd0_0(difference(X0,unaryUnion(product(empty_set))),empty_set)|~member(sk0_21(empty_set,empty_set),unaryUnion(product(empty_set))))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f34488,f5563])).
% 287.82/36.62 fof(f40139,plain,(
% 287.82/36.62 spl0_738|~spl0_739),
% 287.82/36.62 inference(split_clause,[status(thm)],[f40138,f40132,f40135])).
% 287.82/36.62 fof(f40144,plain,(
% 287.82/36.62 spl0_740 <=> pd0_0(difference(X0,power_set(power_set(product(empty_set)))),empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f40147,plain,(
% 287.82/36.62 spl0_741 <=> member(sk0_21(empty_set,empty_set),power_set(power_set(product(empty_set))))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f40149,plain,(
% 287.82/36.62 ~member(sk0_21(empty_set,empty_set),power_set(power_set(product(empty_set))))|spl0_741),
% 287.82/36.62 inference(component_clause,[status(thm)],[f40147])).
% 287.82/36.62 fof(f40150,plain,(
% 287.82/36.62 ![X0]: (pd0_0(difference(X0,power_set(power_set(product(empty_set)))),empty_set)|~member(sk0_21(empty_set,empty_set),power_set(power_set(product(empty_set)))))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f26011,f5563])).
% 287.82/36.62 fof(f40151,plain,(
% 287.82/36.62 spl0_740|~spl0_741),
% 287.82/36.62 inference(split_clause,[status(thm)],[f40150,f40144,f40147])).
% 287.82/36.62 fof(f40152,plain,(
% 287.82/36.62 spl0_742 <=> pd0_0(difference(X0,power_set(sum(product(empty_set)))),empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f40155,plain,(
% 287.82/36.62 spl0_743 <=> member(sk0_21(empty_set,empty_set),power_set(sum(product(empty_set))))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f40157,plain,(
% 287.82/36.62 ~member(sk0_21(empty_set,empty_set),power_set(sum(product(empty_set))))|spl0_743),
% 287.82/36.62 inference(component_clause,[status(thm)],[f40155])).
% 287.82/36.62 fof(f40158,plain,(
% 287.82/36.62 ![X0]: (pd0_0(difference(X0,power_set(sum(product(empty_set)))),empty_set)|~member(sk0_21(empty_set,empty_set),power_set(sum(product(empty_set)))))),
% 287.82/36.62 inference(paramodulation,[status(thm)],[f26007,f5563])).
% 287.82/36.62 fof(f40159,plain,(
% 287.82/36.62 spl0_742|~spl0_743),
% 287.82/36.62 inference(split_clause,[status(thm)],[f40158,f40152,f40155])).
% 287.82/36.62 fof(f40160,plain,(
% 287.82/36.62 spl0_744 <=> pd0_0(difference(X0,power_set(product(empty_set))),empty_set)),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f40163,plain,(
% 287.82/36.62 spl0_745 <=> member(sk0_21(empty_set,empty_set),power_set(product(empty_set)))),
% 287.82/36.62 introduced(split_symbol_definition)).
% 287.82/36.62 fof(f40165,plain,(
% 287.82/36.62 ~member(sk0_21(empty_set,empty_set),power_set(product(empty_set)))|spl0_745),
% 287.82/36.62 inference(component_clause,[status(thm)],[f40163])).
% 287.82/36.62 fof(f40166,plain,(
% 287.82/36.62 ![X0]: (pd0_0(difference(X0,power_set(product(empty_set))),empty_set)|~member(sk0_21(empty_set,empty_set),power_set(product(empty_set)))|~spl0_167)),
% 288.51/36.62 inference(paramodulation,[status(thm)],[f10499,f5563])).
% 288.51/36.62 fof(f40167,plain,(
% 288.51/36.62 spl0_744|~spl0_745|~spl0_167),
% 288.51/36.62 inference(split_clause,[status(thm)],[f40166,f40160,f40163,f7695])).
% 288.51/36.62 fof(f40168,plain,(
% 288.51/36.62 spl0_746 <=> pd0_0(difference(X0,product(empty_set)),empty_set)),
% 288.51/36.62 introduced(split_symbol_definition)).
% 288.51/36.62 fof(f40171,plain,(
% 288.51/36.62 spl0_747 <=> member(sk0_21(empty_set,empty_set),product(empty_set))),
% 288.51/36.62 introduced(split_symbol_definition)).
% 288.51/36.62 fof(f40173,plain,(
% 288.51/36.62 ~member(sk0_21(empty_set,empty_set),product(empty_set))|spl0_747),
% 288.51/36.62 inference(component_clause,[status(thm)],[f40171])).
% 288.51/36.62 fof(f40174,plain,(
% 288.51/36.62 ![X0]: (pd0_0(difference(X0,product(empty_set)),empty_set)|~member(sk0_21(empty_set,empty_set),product(empty_set))|~spl0_167)),
% 288.51/36.62 inference(paramodulation,[status(thm)],[f10379,f5563])).
% 288.51/36.62 fof(f40175,plain,(
% 288.51/36.62 spl0_746|~spl0_747|~spl0_167),
% 288.51/36.62 inference(split_clause,[status(thm)],[f40174,f40168,f40171,f7695])).
% 288.51/36.62 fof(f40176,plain,(
% 288.51/36.62 spl0_748 <=> pd0_0(difference(X0,sum(power_set(product(empty_set)))),empty_set)),
% 288.51/36.62 introduced(split_symbol_definition)).
% 288.51/36.62 fof(f40179,plain,(
% 288.51/36.62 spl0_749 <=> member(sk0_21(empty_set,empty_set),sum(power_set(product(empty_set))))),
% 288.51/36.62 introduced(split_symbol_definition)).
% 288.51/36.62 fof(f40181,plain,(
% 288.51/36.62 ~member(sk0_21(empty_set,empty_set),sum(power_set(product(empty_set))))|spl0_749),
% 288.51/36.62 inference(component_clause,[status(thm)],[f40179])).
% 288.51/36.62 fof(f40182,plain,(
% 288.51/36.62 ![X0]: (pd0_0(difference(X0,sum(power_set(product(empty_set)))),empty_set)|~member(sk0_21(empty_set,empty_set),sum(power_set(product(empty_set)))))),
% 288.51/36.62 inference(paramodulation,[status(thm)],[f25984,f5563])).
% 288.51/36.62 fof(f40183,plain,(
% 288.51/36.62 spl0_748|~spl0_749),
% 288.51/36.62 inference(split_clause,[status(thm)],[f40182,f40176,f40179])).
% 288.51/36.62 fof(f40184,plain,(
% 288.51/36.62 spl0_750 <=> pd0_0(difference(X0,sum(sum(product(empty_set)))),empty_set)),
% 288.51/36.62 introduced(split_symbol_definition)).
% 288.51/36.62 fof(f40187,plain,(
% 288.51/36.62 spl0_751 <=> member(sk0_21(empty_set,empty_set),sum(sum(product(empty_set))))),
% 288.51/36.62 introduced(split_symbol_definition)).
% 288.51/36.62 fof(f40189,plain,(
% 288.51/36.62 ~member(sk0_21(empty_set,empty_set),sum(sum(product(empty_set))))|spl0_751),
% 288.51/36.62 inference(component_clause,[status(thm)],[f40187])).
% 288.51/36.62 fof(f40190,plain,(
% 288.51/36.62 ![X0]: (pd0_0(difference(X0,sum(sum(product(empty_set)))),empty_set)|~member(sk0_21(empty_set,empty_set),sum(sum(product(empty_set)))))),
% 288.51/36.62 inference(paramodulation,[status(thm)],[f25981,f5563])).
% 288.51/36.62 fof(f40191,plain,(
% 288.51/36.62 spl0_750|~spl0_751),
% 288.51/36.62 inference(split_clause,[status(thm)],[f40190,f40184,f40187])).
% 288.51/36.62 fof(f40192,plain,(
% 288.51/36.62 spl0_752 <=> pd0_0(difference(X0,sum(product(empty_set))),empty_set)),
% 288.51/36.62 introduced(split_symbol_definition)).
% 288.51/36.62 fof(f40195,plain,(
% 288.51/36.62 spl0_753 <=> member(sk0_21(empty_set,empty_set),sum(product(empty_set)))),
% 288.51/36.62 introduced(split_symbol_definition)).
% 288.51/36.62 fof(f40197,plain,(
% 288.51/36.62 ~member(sk0_21(empty_set,empty_set),sum(product(empty_set)))|spl0_753),
% 288.51/36.62 inference(component_clause,[status(thm)],[f40195])).
% 288.51/36.62 fof(f40198,plain,(
% 288.51/36.62 ![X0]: (pd0_0(difference(X0,sum(product(empty_set))),empty_set)|~member(sk0_21(empty_set,empty_set),sum(product(empty_set))))),
% 288.51/36.62 inference(paramodulation,[status(thm)],[f23046,f5563])).
% 288.51/36.62 fof(f40199,plain,(
% 288.51/36.62 spl0_752|~spl0_753),
% 288.51/36.62 inference(split_clause,[status(thm)],[f40198,f40192,f40195])).
% 288.51/36.62 fof(f40202,plain,(
% 288.51/36.62 $false|spl0_745),
% 288.51/36.62 inference(forward_subsumption_resolution,[status(thm)],[f40165,f14924])).
% 288.51/36.62 fof(f40203,plain,(
% 288.51/36.62 spl0_745),
% 288.51/36.62 inference(contradiction_clause,[status(thm)],[f40202])).
% 288.51/36.62 fof(f40204,plain,(
% 288.51/36.62 $false|spl0_747),
% 288.51/36.62 inference(forward_subsumption_resolution,[status(thm)],[f40173,f14912])).
% 288.51/36.62 fof(f40205,plain,(
% 288.51/36.62 spl0_747),
% 288.51/36.62 inference(contradiction_clause,[status(thm)],[f40204])).
% 288.51/36.62 fof(f40206,plain,(
% 288.51/36.62 $false|spl0_753),
% 288.51/36.62 inference(forward_subsumption_resolution,[status(thm)],[f40197,f21049])).
% 288.51/36.62 fof(f40207,plain,(
% 288.51/36.62 spl0_753),
% 288.51/36.62 inference(contradiction_clause,[status(thm)],[f40206])).
% 288.51/36.62 fof(f40208,plain,(
% 288.51/36.62 $false|spl0_751),
% 288.51/36.62 inference(forward_subsumption_resolution,[status(thm)],[f40189,f21062])).
% 288.51/36.62 fof(f40209,plain,(
% 288.51/36.62 spl0_751),
% 288.51/36.62 inference(contradiction_clause,[status(thm)],[f40208])).
% 288.51/36.62 fof(f40210,plain,(
% 288.51/36.62 $false|spl0_749),
% 288.51/36.62 inference(forward_subsumption_resolution,[status(thm)],[f40181,f21043])).
% 288.51/36.62 fof(f40211,plain,(
% 288.51/36.62 spl0_749),
% 288.51/36.62 inference(contradiction_clause,[status(thm)],[f40210])).
% 288.51/36.62 fof(f40212,plain,(
% 288.51/36.62 $false|spl0_743),
% 288.51/36.62 inference(forward_subsumption_resolution,[status(thm)],[f40157,f21100])).
% 288.51/36.62 fof(f40213,plain,(
% 288.51/36.62 spl0_743),
% 288.51/36.62 inference(contradiction_clause,[status(thm)],[f40212])).
% 288.51/36.62 fof(f40214,plain,(
% 288.51/36.62 $false|spl0_741),
% 288.51/36.62 inference(forward_subsumption_resolution,[status(thm)],[f40149,f2787])).
% 288.51/36.62 fof(f40215,plain,(
% 288.51/36.62 spl0_741),
% 288.51/36.62 inference(contradiction_clause,[status(thm)],[f40214])).
% 288.51/36.62 fof(f40216,plain,(
% 288.51/36.62 $false|spl0_739),
% 288.51/36.62 inference(forward_subsumption_resolution,[status(thm)],[f40137,f31059])).
% 288.51/36.62 fof(f40217,plain,(
% 288.51/36.62 spl0_739),
% 288.51/36.62 inference(contradiction_clause,[status(thm)],[f40216])).
% 288.51/36.62 fof(f40556,plain,(
% 288.51/36.62 spl0_754 <=> pd0_0(difference(empty_set,X0),empty_set)),
% 288.51/36.62 introduced(split_symbol_definition)).
% 288.51/36.62 fof(f40559,plain,(
% 288.51/36.62 ![X0]: (pd0_0(difference(empty_set,X0),empty_set)|member(sk0_21(empty_set,empty_set),empty_set))),
% 288.51/36.62 inference(paramodulation,[status(thm)],[f10604,f5564])).
% 288.51/36.62 fof(f40560,plain,(
% 288.51/36.62 spl0_754|spl0_728),
% 288.51/36.62 inference(split_clause,[status(thm)],[f40559,f40556,f38840])).
% 288.51/36.62 fof(f40663,plain,(
% 288.51/36.62 spl0_755 <=> pd0_0(intersection(X0,empty_set),empty_set)),
% 288.51/36.62 introduced(split_symbol_definition)).
% 288.51/36.62 fof(f40666,plain,(
% 288.51/36.62 ![X0]: (pd0_0(intersection(X0,empty_set),empty_set)|member(sk0_21(empty_set,empty_set),empty_set))),
% 288.51/36.62 inference(paramodulation,[status(thm)],[f9679,f5565])).
% 288.51/36.62 fof(f40667,plain,(
% 288.51/36.62 spl0_755|spl0_728),
% 288.51/36.62 inference(split_clause,[status(thm)],[f40666,f40663,f38840])).
% 288.51/36.62 fof(f40677,plain,(
% 288.51/36.62 ![X0]: (product(unaryUnion(power_set(unordered_pair(empty_set,X0))))=empty_set)),
% 288.51/36.62 inference(resolution,[status(thm)],[f39398,f28358])).
% 288.51/36.62 fof(f40816,plain,(
% 288.51/36.62 spl0_756 <=> ~member(empty_set,unaryUnion(unordered_pair(X0,singleton(empty_set))))),
% 288.51/36.62 introduced(split_symbol_definition)).
% 288.51/36.62 fof(f40817,plain,(
% 288.51/36.62 ![X0]: (~member(empty_set,unaryUnion(unordered_pair(X0,singleton(empty_set))))|~spl0_756)),
% 288.51/36.62 inference(component_clause,[status(thm)],[f40816])).
% 288.51/36.62 fof(f40854,plain,(
% 288.51/36.62 $false|~spl0_756),
% 288.51/36.62 inference(forward_subsumption_resolution,[status(thm)],[f40817,f31041])).
% 288.51/36.62 fof(f40855,plain,(
% 288.51/36.62 ~spl0_756),
% 288.51/36.62 inference(contradiction_clause,[status(thm)],[f40854])).
% 288.51/36.62 fof(f40856,plain,(
% 288.51/36.62 spl0_757 <=> ~member(empty_set,unaryUnion(unordered_pair(singleton(empty_set),X0)))),
% 288.51/36.62 introduced(split_symbol_definition)).
% 288.51/36.62 fof(f40857,plain,(
% 288.51/36.62 ![X0]: (~member(empty_set,unaryUnion(unordered_pair(singleton(empty_set),X0)))|~spl0_757)),
% 288.51/36.62 inference(component_clause,[status(thm)],[f40856])).
% 288.51/36.62 fof(f40894,plain,(
% 288.51/36.62 $false|~spl0_757),
% 288.51/36.62 inference(forward_subsumption_resolution,[status(thm)],[f40857,f31042])).
% 288.51/36.62 fof(f40895,plain,(
% 288.51/36.62 ~spl0_757),
% 288.51/36.62 inference(contradiction_clause,[status(thm)],[f40894])).
% 288.51/36.62 fof(f41130,plain,(
% 288.51/36.62 ![X0]: (sum(difference(power_set(empty_set),X0))=empty_set|~spl0_231)),
% 288.51/36.62 inference(resolution,[status(thm)],[f39788,f5158])).
% 288.51/36.62 fof(f42100,plain,(
% 288.51/36.62 spl0_758 <=> pd0_0(intersection(empty_set,X0),empty_set)),
% 288.51/36.62 introduced(split_symbol_definition)).
% 288.51/36.62 fof(f42103,plain,(
% 288.51/36.62 ![X0]: (pd0_0(intersection(empty_set,X0),empty_set)|member(sk0_21(empty_set,empty_set),empty_set))),
% 288.51/36.62 inference(paramodulation,[status(thm)],[f9641,f5566])).
% 288.51/36.62 fof(f42104,plain,(
% 288.51/36.62 spl0_758|spl0_728),
% 288.51/36.62 inference(split_clause,[status(thm)],[f42103,f42100,f38840])).
% 288.51/36.62 fof(f42978,plain,(
% 288.51/36.62 ![X0,X1,X2]: (~subset(X0,X1)|subset(X0,union(X1,X2))|subset(X0,union(X1,X2)))),
% 288.51/36.62 inference(resolution,[status(thm)],[f2764,f194])).
% 288.51/36.62 fof(f42979,plain,(
% 288.51/36.62 ![X0,X1,X2]: (~subset(X0,X1)|subset(X0,union(X1,X2)))),
% 288.51/36.62 inference(duplicate_literals_removal,[status(esa)],[f42978])).
% 288.51/36.62 fof(f43043,plain,(
% 288.51/36.62 ![X0,X1]: (~subset(X0,empty_set)|subset(X0,X1))),
% 288.51/36.62 inference(resolution,[status(thm)],[f2764,f48])).
% 288.51/36.62 fof(f43059,plain,(
% 288.51/36.62 spl0_760 <=> ~subset(singleton(power_set(product(empty_set))),X0)|member(power_set(product(empty_set)),X0)),
% 288.51/36.62 introduced(split_symbol_definition)).
% 288.51/36.62 fof(f43062,plain,(
% 288.51/36.62 ![X0,X1]: (~subset(singleton(power_set(product(empty_set))),X0)|member(power_set(product(empty_set)),X0)|subset(singleton(power_set(product(empty_set))),intersection(power_set(empty_set),X1))|spl0_33)),
% 288.51/36.62 inference(paramodulation,[status(thm)],[f6788,f2764])).
% 288.51/36.62 fof(f43063,plain,(
% 288.51/36.62 spl0_760|spl0_70|spl0_33),
% 288.51/36.62 inference(split_clause,[status(thm)],[f43062,f43059,f3639,f2471])).
% 288.51/36.62 fof(f43069,plain,(
% 288.51/36.62 spl0_761 <=> ~subset(singleton(product(empty_set)),X0)|member(product(empty_set),X0)),
% 288.51/36.62 introduced(split_symbol_definition)).
% 288.51/36.62 fof(f43072,plain,(
% 288.51/36.62 ![X0]: (~subset(singleton(product(empty_set)),X0)|member(product(empty_set),X0)|subset(singleton(product(empty_set)),power_set(empty_set))|~spl0_73)),
% 288.51/36.62 inference(paramodulation,[status(thm)],[f4113,f2764])).
% 288.51/36.62 fof(f43073,plain,(
% 288.51/36.62 spl0_761|spl0_75|~spl0_73),
% 288.51/36.62 inference(split_clause,[status(thm)],[f43072,f43069,f4208,f4112])).
% 288.51/36.62 fof(f43282,plain,(
% 288.51/36.62 spl0_763 <=> member(product(empty_set),X0)),
% 288.51/36.62 introduced(split_symbol_definition)).
% 288.51/36.62 fof(f43283,plain,(
% 288.51/36.62 ![X0]: (member(product(empty_set),X0)|~spl0_763)),
% 288.51/36.62 inference(component_clause,[status(thm)],[f43282])).
% 288.51/36.62 fof(f43304,plain,(
% 288.51/36.62 $false|~spl0_763|~spl0_732),
% 288.51/36.62 inference(backward_subsumption_resolution,[status(thm)],[f39013,f43283])).
% 288.51/36.62 fof(f43305,plain,(
% 288.51/36.62 ~spl0_763|~spl0_732),
% 288.51/36.62 inference(contradiction_clause,[status(thm)],[f43304])).
% 288.51/36.62 fof(f43459,plain,(
% 288.51/36.62 spl0_764 <=> subset(sk0_21(power_set(empty_set),empty_set),X0)),
% 288.51/36.62 introduced(split_symbol_definition)).
% 288.51/36.62 fof(f43462,plain,(
% 288.51/36.62 ![X0]: (subset(sk0_21(power_set(empty_set),empty_set),X0)|pd0_0(power_set(empty_set),empty_set))),
% 288.51/36.62 inference(resolution,[status(thm)],[f43043,f5560])).
% 288.51/36.62 fof(f43463,plain,(
% 288.51/36.62 spl0_764|spl0_245),
% 288.51/36.62 inference(split_clause,[status(thm)],[f43462,f43459,f13225])).
% 288.51/36.62 fof(f43488,plain,(
% 288.51/36.62 ![X0,X1]: (subset(sk0_17(singleton(X0),power_set(empty_set)),X1)|singleton(X0)=unaryUnion(power_set(empty_set))|sk0_16(singleton(X0),power_set(empty_set))=X0)),
% 288.51/36.62 inference(resolution,[status(thm)],[f43043,f4867])).
% 288.51/36.62 fof(f43489,plain,(
% 288.51/36.62 ![X0,X1]: (subset(sk0_17(singleton(X0),power_set(empty_set)),X1)|singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|~spl0_231)),
% 288.51/36.62 inference(forward_demodulation,[status(thm)],[f12506,f43488])).
% 288.51/36.62 fof(f43807,plain,(
% 288.51/36.62 spl0_766 <=> ~member(empty_set,unaryUnion(union(product(empty_set),X0)))),
% 288.51/36.62 introduced(split_symbol_definition)).
% 288.51/36.62 fof(f43808,plain,(
% 288.51/36.62 ![X0]: (~member(empty_set,unaryUnion(union(product(empty_set),X0)))|~spl0_766)),
% 288.51/36.62 inference(component_clause,[status(thm)],[f43807])).
% 288.51/36.62 fof(f43855,plain,(
% 288.51/36.62 $false|~spl0_766),
% 288.51/36.62 inference(forward_subsumption_resolution,[status(thm)],[f43808,f31024])).
% 288.51/36.62 fof(f43856,plain,(
% 288.51/36.62 ~spl0_766),
% 288.51/36.62 inference(contradiction_clause,[status(thm)],[f43855])).
% 288.51/36.62 fof(f43857,plain,(
% 288.51/36.62 spl0_767 <=> ~member(empty_set,unaryUnion(union(X0,product(empty_set))))),
% 288.51/36.62 introduced(split_symbol_definition)).
% 288.51/36.62 fof(f43858,plain,(
% 288.51/36.62 ![X0]: (~member(empty_set,unaryUnion(union(X0,product(empty_set))))|~spl0_767)),
% 288.51/36.62 inference(component_clause,[status(thm)],[f43857])).
% 288.51/36.62 fof(f43905,plain,(
% 288.51/36.62 $false|~spl0_767),
% 288.51/36.62 inference(forward_subsumption_resolution,[status(thm)],[f43858,f31033])).
% 288.51/36.62 fof(f43906,plain,(
% 288.51/36.62 ~spl0_767),
% 288.51/36.62 inference(contradiction_clause,[status(thm)],[f43905])).
% 288.51/36.62 fof(f43907,plain,(
% 288.51/36.62 spl0_768 <=> ~member(empty_set,union(X0,unaryUnion(product(empty_set))))),
% 288.51/36.62 introduced(split_symbol_definition)).
% 288.51/36.62 fof(f43908,plain,(
% 288.51/36.62 ![X0]: (~member(empty_set,union(X0,unaryUnion(product(empty_set))))|~spl0_768)),
% 288.51/36.62 inference(component_clause,[status(thm)],[f43907])).
% 288.51/36.62 fof(f43955,plain,(
% 288.51/36.62 $false|~spl0_768),
% 288.51/36.62 inference(forward_subsumption_resolution,[status(thm)],[f43908,f32530])).
% 288.51/36.62 fof(f43956,plain,(
% 288.51/36.62 ~spl0_768),
% 288.51/36.62 inference(contradiction_clause,[status(thm)],[f43955])).
% 288.51/36.62 fof(f44193,plain,(
% 288.51/36.62 ![X0,X1,X2]: (~subset(singleton(X0),X1)|member(X0,union(X1,X2)))),
% 288.51/36.62 inference(resolution,[status(thm)],[f42979,f2779])).
% 288.51/36.62 fof(f44204,plain,(
% 288.51/36.62 spl0_769 <=> ~member(empty_set,union(unaryUnion(product(empty_set)),X0))),
% 288.51/36.62 introduced(split_symbol_definition)).
% 288.51/36.62 fof(f44205,plain,(
% 288.51/36.62 ![X0]: (~member(empty_set,union(unaryUnion(product(empty_set)),X0))|~spl0_769)),
% 288.51/36.62 inference(component_clause,[status(thm)],[f44204])).
% 288.51/36.62 fof(f44252,plain,(
% 288.51/36.62 $false|~spl0_769),
% 288.51/36.62 inference(forward_subsumption_resolution,[status(thm)],[f44205,f32543])).
% 288.51/36.62 fof(f44253,plain,(
% 288.51/36.62 ~spl0_769),
% 288.51/36.62 inference(contradiction_clause,[status(thm)],[f44252])).
% 288.51/36.62 fof(f44257,plain,(
% 288.51/36.62 spl0_770 <=> ~member(empty_set,union(X0,union(power_set(X1),X2)))),
% 288.51/36.62 introduced(split_symbol_definition)).
% 288.51/36.62 fof(f44258,plain,(
% 288.51/36.62 ![X0,X1,X2]: (~member(empty_set,union(X0,union(power_set(X1),X2)))|~spl0_770)),
% 288.51/36.62 inference(component_clause,[status(thm)],[f44257])).
% 288.51/36.62 fof(f44305,plain,(
% 288.51/36.62 spl0_771 <=> ~member(empty_set,union(X0,union(X1,power_set(X2))))),
% 288.51/36.62 introduced(split_symbol_definition)).
% 288.51/36.62 fof(f44306,plain,(
% 288.51/36.62 ![X0,X1,X2]: (~member(empty_set,union(X0,union(X1,power_set(X2))))|~spl0_771)),
% 288.51/36.62 inference(component_clause,[status(thm)],[f44305])).
% 288.51/36.62 fof(f44460,plain,(
% 288.51/36.62 ![X0,X1,X2,X3]: (member(X0,insertIntoMember(X1,X2,X3))|~member(X0,X2))),
% 288.51/36.62 inference(resolution,[status(thm)],[f2767,f10141])).
% 288.51/36.62 fof(f44604,plain,(
% 288.51/36.62 ![X0,X1,X2]: (singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|member(sk0_3(sk0_17(singleton(X0),power_set(empty_set)),X1),X2)|disjoint(X1,sk0_17(singleton(X0),power_set(empty_set)))|~spl0_231)),
% 288.51/36.62 inference(resolution,[status(thm)],[f43489,f2766])).
% 288.51/36.62 fof(f44605,plain,(
% 288.51/36.62 ![X0,X1,X2]: (singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|member(sk0_3(X1,sk0_17(singleton(X0),power_set(empty_set))),X2)|disjoint(sk0_17(singleton(X0),power_set(empty_set)),X1)|~spl0_231)),
% 288.51/36.62 inference(resolution,[status(thm)],[f43489,f2765])).
% 288.51/36.62 fof(f44636,plain,(
% 288.51/36.62 spl0_772 <=> empty_set=power_set(X0)),
% 288.51/36.62 introduced(split_symbol_definition)).
% 288.51/36.62 fof(f44637,plain,(
% 288.51/36.62 ![X0]: (empty_set=power_set(X0)|~spl0_772)),
% 288.51/36.62 inference(component_clause,[status(thm)],[f44636])).
% 288.51/36.62 fof(f44643,plain,(
% 288.51/36.62 spl0_773 <=> ~subset(singleton(empty_set),X0)|member(empty_set,X0)),
% 288.51/36.62 introduced(split_symbol_definition)).
% 288.51/36.62 fof(f44660,plain,(
% 288.51/36.62 ![X0]: (member(X0,power_set(empty_set))|~spl0_772)),
% 288.51/36.62 inference(backward_demodulation,[status(thm)],[f44637,f32328])).
% 288.51/36.62 fof(f44661,plain,(
% 288.51/36.62 ![X0]: (member(X0,empty_set)|~spl0_772)),
% 288.51/36.63 inference(forward_demodulation,[status(thm)],[f44637,f44660])).
% 288.51/36.63 fof(f44662,plain,(
% 288.51/36.63 $false|~spl0_772),
% 288.51/36.63 inference(forward_subsumption_resolution,[status(thm)],[f44661,f48])).
% 288.51/36.63 fof(f44663,plain,(
% 288.51/36.63 ~spl0_772),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f44662])).
% 288.51/36.63 fof(f44674,plain,(
% 288.51/36.63 ![X0]: (product(power_set(X0))=empty_set|~spl0_167)),
% 288.51/36.63 inference(resolution,[status(thm)],[f31535,f28358])).
% 288.51/36.63 fof(f45779,plain,(
% 288.51/36.63 spl0_775 <=> singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|disjoint(X1,sk0_17(singleton(X0),power_set(empty_set)))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f45865,plain,(
% 288.51/36.63 spl0_777 <=> singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|disjoint(sk0_17(singleton(X0),power_set(empty_set)),X1)),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f46307,plain,(
% 288.51/36.63 pd0_0(empty_set,power_set(empty_set))|pd0_0(empty_set,power_set(empty_set))|member(sk0_21(empty_set,power_set(empty_set)),empty_set)),
% 288.51/36.63 inference(resolution,[status(thm)],[f5771,f156])).
% 288.51/36.63 fof(f46308,plain,(
% 288.51/36.63 spl0_247|spl0_285),
% 288.51/36.63 inference(split_clause,[status(thm)],[f46307,f13235,f14331])).
% 288.51/36.63 fof(f47001,plain,(
% 288.51/36.63 spl0_779 <=> pd0_0(empty_set,equivalence_class(X0,empty_set,X1))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f47004,plain,(
% 288.51/36.63 spl0_780 <=> member(sk0_20(empty_set,empty_set),empty_set)),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f47005,plain,(
% 288.51/36.63 member(sk0_20(empty_set,empty_set),empty_set)|~spl0_780),
% 288.51/36.63 inference(component_clause,[status(thm)],[f47004])).
% 288.51/36.63 fof(f47007,plain,(
% 288.51/36.63 ![X0,X1]: (pd0_0(empty_set,equivalence_class(X0,empty_set,X1))|member(sk0_20(empty_set,empty_set),empty_set))),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f16992,f5773])).
% 288.51/36.63 fof(f47008,plain,(
% 288.51/36.63 spl0_779|spl0_780),
% 288.51/36.63 inference(split_clause,[status(thm)],[f47007,f47001,f47004])).
% 288.51/36.63 fof(f47010,plain,(
% 288.51/36.63 $false|~spl0_780),
% 288.51/36.63 inference(forward_subsumption_resolution,[status(thm)],[f47005,f48])).
% 288.51/36.63 fof(f47011,plain,(
% 288.51/36.63 ~spl0_780),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f47010])).
% 288.51/36.63 fof(f47076,plain,(
% 288.51/36.63 spl0_781 <=> pd0_0(empty_set,difference(X0,power_set(product(empty_set))))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f47079,plain,(
% 288.51/36.63 spl0_782 <=> member(sk0_20(empty_set,empty_set),power_set(product(empty_set)))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f47081,plain,(
% 288.51/36.63 ~member(sk0_20(empty_set,empty_set),power_set(product(empty_set)))|spl0_782),
% 288.51/36.63 inference(component_clause,[status(thm)],[f47079])).
% 288.51/36.63 fof(f47082,plain,(
% 288.51/36.63 ![X0]: (pd0_0(empty_set,difference(X0,power_set(product(empty_set))))|~member(sk0_20(empty_set,empty_set),power_set(product(empty_set)))|~spl0_167)),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f10499,f5774])).
% 288.51/36.63 fof(f47083,plain,(
% 288.51/36.63 spl0_781|~spl0_782|~spl0_167),
% 288.51/36.63 inference(split_clause,[status(thm)],[f47082,f47076,f47079,f7695])).
% 288.51/36.63 fof(f47086,plain,(
% 288.51/36.63 spl0_783 <=> pd0_0(empty_set,difference(X0,unaryUnion(product(empty_set))))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f47089,plain,(
% 288.51/36.63 spl0_784 <=> member(sk0_20(empty_set,empty_set),unaryUnion(product(empty_set)))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f47091,plain,(
% 288.51/36.63 ~member(sk0_20(empty_set,empty_set),unaryUnion(product(empty_set)))|spl0_784),
% 288.51/36.63 inference(component_clause,[status(thm)],[f47089])).
% 288.51/36.63 fof(f47092,plain,(
% 288.51/36.63 ![X0]: (pd0_0(empty_set,difference(X0,unaryUnion(product(empty_set))))|~member(sk0_20(empty_set,empty_set),unaryUnion(product(empty_set))))),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f34488,f5774])).
% 288.51/36.63 fof(f47093,plain,(
% 288.51/36.63 spl0_783|~spl0_784),
% 288.51/36.63 inference(split_clause,[status(thm)],[f47092,f47086,f47089])).
% 288.51/36.63 fof(f47098,plain,(
% 288.51/36.63 spl0_785 <=> pd0_0(empty_set,difference(X0,product(empty_set)))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f47101,plain,(
% 288.51/36.63 spl0_786 <=> member(sk0_20(empty_set,empty_set),product(empty_set))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f47103,plain,(
% 288.51/36.63 ~member(sk0_20(empty_set,empty_set),product(empty_set))|spl0_786),
% 288.51/36.63 inference(component_clause,[status(thm)],[f47101])).
% 288.51/36.63 fof(f47104,plain,(
% 288.51/36.63 ![X0]: (pd0_0(empty_set,difference(X0,product(empty_set)))|~member(sk0_20(empty_set,empty_set),product(empty_set))|~spl0_167)),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f10379,f5774])).
% 288.51/36.63 fof(f47105,plain,(
% 288.51/36.63 spl0_785|~spl0_786|~spl0_167),
% 288.51/36.63 inference(split_clause,[status(thm)],[f47104,f47098,f47101,f7695])).
% 288.51/36.63 fof(f47106,plain,(
% 288.51/36.63 spl0_787 <=> pd0_0(empty_set,difference(X0,sum(sum(product(empty_set)))))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f47109,plain,(
% 288.51/36.63 spl0_788 <=> member(sk0_20(empty_set,empty_set),sum(sum(product(empty_set))))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f47111,plain,(
% 288.51/36.63 ~member(sk0_20(empty_set,empty_set),sum(sum(product(empty_set))))|spl0_788),
% 288.51/36.63 inference(component_clause,[status(thm)],[f47109])).
% 288.51/36.63 fof(f47112,plain,(
% 288.51/36.63 ![X0]: (pd0_0(empty_set,difference(X0,sum(sum(product(empty_set)))))|~member(sk0_20(empty_set,empty_set),sum(sum(product(empty_set)))))),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f25981,f5774])).
% 288.51/36.63 fof(f47113,plain,(
% 288.51/36.63 spl0_787|~spl0_788),
% 288.51/36.63 inference(split_clause,[status(thm)],[f47112,f47106,f47109])).
% 288.51/36.63 fof(f47114,plain,(
% 288.51/36.63 spl0_789 <=> pd0_0(empty_set,difference(X0,sum(product(empty_set))))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f47117,plain,(
% 288.51/36.63 spl0_790 <=> member(sk0_20(empty_set,empty_set),sum(product(empty_set)))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f47119,plain,(
% 288.51/36.63 ~member(sk0_20(empty_set,empty_set),sum(product(empty_set)))|spl0_790),
% 288.51/36.63 inference(component_clause,[status(thm)],[f47117])).
% 288.51/36.63 fof(f47120,plain,(
% 288.51/36.63 ![X0]: (pd0_0(empty_set,difference(X0,sum(product(empty_set))))|~member(sk0_20(empty_set,empty_set),sum(product(empty_set))))),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f23046,f5774])).
% 288.51/36.63 fof(f47121,plain,(
% 288.51/36.63 spl0_789|~spl0_790),
% 288.51/36.63 inference(split_clause,[status(thm)],[f47120,f47114,f47117])).
% 288.51/36.63 fof(f47124,plain,(
% 288.51/36.63 $false|spl0_782),
% 288.51/36.63 inference(forward_subsumption_resolution,[status(thm)],[f47081,f14924])).
% 288.51/36.63 fof(f47125,plain,(
% 288.51/36.63 spl0_782),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f47124])).
% 288.51/36.63 fof(f47126,plain,(
% 288.51/36.63 $false|spl0_786),
% 288.51/36.63 inference(forward_subsumption_resolution,[status(thm)],[f47103,f14912])).
% 288.51/36.63 fof(f47127,plain,(
% 288.51/36.63 spl0_786),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f47126])).
% 288.51/36.63 fof(f47128,plain,(
% 288.51/36.63 $false|spl0_790),
% 288.51/36.63 inference(forward_subsumption_resolution,[status(thm)],[f47119,f21049])).
% 288.51/36.63 fof(f47129,plain,(
% 288.51/36.63 spl0_790),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f47128])).
% 288.51/36.63 fof(f47130,plain,(
% 288.51/36.63 $false|spl0_788),
% 288.51/36.63 inference(forward_subsumption_resolution,[status(thm)],[f47111,f21062])).
% 288.51/36.63 fof(f47131,plain,(
% 288.51/36.63 spl0_788),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f47130])).
% 288.51/36.63 fof(f47132,plain,(
% 288.51/36.63 $false|spl0_784),
% 288.51/36.63 inference(forward_subsumption_resolution,[status(thm)],[f47091,f31059])).
% 288.51/36.63 fof(f47133,plain,(
% 288.51/36.63 spl0_784),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f47132])).
% 288.51/36.63 fof(f47937,plain,(
% 288.51/36.63 spl0_791 <=> pd0_0(empty_set,difference(empty_set,X0))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f47940,plain,(
% 288.51/36.63 ![X0]: (pd0_0(empty_set,difference(empty_set,X0))|member(sk0_20(empty_set,empty_set),empty_set))),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f10604,f5775])).
% 288.51/36.63 fof(f47941,plain,(
% 288.51/36.63 spl0_791|spl0_780),
% 288.51/36.63 inference(split_clause,[status(thm)],[f47940,f47937,f47004])).
% 288.51/36.63 fof(f48164,plain,(
% 288.51/36.63 spl0_792 <=> pd0_0(empty_set,intersection(X0,empty_set))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f48167,plain,(
% 288.51/36.63 ![X0]: (pd0_0(empty_set,intersection(X0,empty_set))|member(sk0_20(empty_set,empty_set),empty_set))),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f9679,f5776])).
% 288.51/36.63 fof(f48168,plain,(
% 288.51/36.63 spl0_792|spl0_780),
% 288.51/36.63 inference(split_clause,[status(thm)],[f48167,f48164,f47004])).
% 288.51/36.63 fof(f48209,plain,(
% 288.51/36.63 spl0_793 <=> pd0_0(empty_set,intersection(empty_set,X0))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f48212,plain,(
% 288.51/36.63 ![X0]: (pd0_0(empty_set,intersection(empty_set,X0))|member(sk0_20(empty_set,empty_set),empty_set))),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f9641,f5777])).
% 288.51/36.63 fof(f48213,plain,(
% 288.51/36.63 spl0_793|spl0_780),
% 288.51/36.63 inference(split_clause,[status(thm)],[f48212,f48209,f47004])).
% 288.51/36.63 fof(f48418,plain,(
% 288.51/36.63 $false|~spl0_770),
% 288.51/36.63 inference(resolution,[status(thm)],[f44258,f14919])).
% 288.51/36.63 fof(f48419,plain,(
% 288.51/36.63 ~spl0_770),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f48418])).
% 288.51/36.63 fof(f48420,plain,(
% 288.51/36.63 $false|~spl0_771),
% 288.51/36.63 inference(resolution,[status(thm)],[f44306,f14919])).
% 288.51/36.63 fof(f48421,plain,(
% 288.51/36.63 ~spl0_771),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f48420])).
% 288.51/36.63 fof(f48890,plain,(
% 288.51/36.63 ![X0,X1,X2]: (product(insertIntoMember(X0,power_set(X1),X2))=empty_set)),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f134,f38370])).
% 288.51/36.63 fof(f48891,plain,(
% 288.51/36.63 spl0_798 <=> ~member(empty_set,union(union(power_set(X0),X1),X2))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f48892,plain,(
% 288.51/36.63 ![X0,X1,X2]: (~member(empty_set,union(union(power_set(X0),X1),X2))|~spl0_798)),
% 288.51/36.63 inference(component_clause,[status(thm)],[f48891])).
% 288.51/36.63 fof(f48937,plain,(
% 288.51/36.63 spl0_799 <=> ~member(empty_set,insertIntoMember(X0,power_set(X1),X2))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f48938,plain,(
% 288.51/36.63 ![X0,X1,X2]: (~member(empty_set,insertIntoMember(X0,power_set(X1),X2))|~spl0_799)),
% 288.51/36.63 inference(component_clause,[status(thm)],[f48937])).
% 288.51/36.63 fof(f48983,plain,(
% 288.51/36.63 spl0_800 <=> ~member(empty_set,union(union(X0,power_set(X1)),X2))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f48984,plain,(
% 288.51/36.63 ![X0,X1,X2]: (~member(empty_set,union(union(X0,power_set(X1)),X2))|~spl0_800)),
% 288.51/36.63 inference(component_clause,[status(thm)],[f48983])).
% 288.51/36.63 fof(f49117,plain,(
% 288.51/36.63 ![X0]: (~member(empty_set,power_set(X0))|~spl0_799)),
% 288.51/36.63 inference(resolution,[status(thm)],[f48938,f44460])).
% 288.51/36.63 fof(f49118,plain,(
% 288.51/36.63 spl0_575|~spl0_799),
% 288.51/36.63 inference(split_clause,[status(thm)],[f49117,f25860,f48937])).
% 288.51/36.63 fof(f49345,plain,(
% 288.51/36.63 spl0_804 <=> member(sk0_21(empty_set,empty_set),power_set(empty_set))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f49346,plain,(
% 288.51/36.63 member(sk0_21(empty_set,empty_set),power_set(empty_set))|~spl0_804),
% 288.51/36.63 inference(component_clause,[status(thm)],[f49345])).
% 288.51/36.63 fof(f49389,plain,(
% 288.51/36.63 ![X0]: (~member(X0,sk0_21(empty_set,empty_set))|~spl0_804|~spl0_231)),
% 288.51/36.63 inference(resolution,[status(thm)],[f49346,f13102])).
% 288.51/36.63 fof(f49443,plain,(
% 288.51/36.63 sk0_21(empty_set,empty_set)=empty_set|~spl0_804|~spl0_231),
% 288.51/36.63 inference(resolution,[status(thm)],[f49389,f5158])).
% 288.51/36.63 fof(f49659,plain,(
% 288.51/36.63 spl0_575|~spl0_12),
% 288.51/36.63 inference(split_clause,[status(thm)],[f3250,f25860,f1100])).
% 288.51/36.63 fof(f49923,plain,(
% 288.51/36.63 spl0_805 <=> member(sk0_16(empty_set,singleton(empty_set)),empty_set)),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f49924,plain,(
% 288.51/36.63 member(sk0_16(empty_set,singleton(empty_set)),empty_set)|~spl0_805),
% 288.51/36.63 inference(component_clause,[status(thm)],[f49923])).
% 288.51/36.63 fof(f49930,plain,(
% 288.51/36.63 $false|~spl0_805),
% 288.51/36.63 inference(forward_subsumption_resolution,[status(thm)],[f49924,f48])).
% 288.51/36.63 fof(f49931,plain,(
% 288.51/36.63 ~spl0_805),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f49930])).
% 288.51/36.63 fof(f52020,plain,(
% 288.51/36.63 spl0_819 <=> ~member(empty_set,unaryUnion(power_set(unordered_pair(X0,empty_set))))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f52021,plain,(
% 288.51/36.63 ![X0]: (~member(empty_set,unaryUnion(power_set(unordered_pair(X0,empty_set))))|~spl0_819)),
% 288.51/36.63 inference(component_clause,[status(thm)],[f52020])).
% 288.51/36.63 fof(f52066,plain,(
% 288.51/36.63 $false|~spl0_819),
% 288.51/36.63 inference(forward_subsumption_resolution,[status(thm)],[f52021,f39170])).
% 288.51/36.63 fof(f52067,plain,(
% 288.51/36.63 ~spl0_819),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f52066])).
% 288.51/36.63 fof(f52131,plain,(
% 288.51/36.63 spl0_820 <=> ~member(empty_set,unaryUnion(singleton(unordered_pair(X0,empty_set))))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f52132,plain,(
% 288.51/36.63 ![X0]: (~member(empty_set,unaryUnion(singleton(unordered_pair(X0,empty_set))))|~spl0_820)),
% 288.51/36.63 inference(component_clause,[status(thm)],[f52131])).
% 288.51/36.63 fof(f52177,plain,(
% 288.51/36.63 $false|~spl0_820),
% 288.51/36.63 inference(forward_subsumption_resolution,[status(thm)],[f52132,f39174])).
% 288.51/36.63 fof(f52178,plain,(
% 288.51/36.63 ~spl0_820),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f52177])).
% 288.51/36.63 fof(f52269,plain,(
% 288.51/36.63 spl0_821 <=> ~member(empty_set,unaryUnion(singleton(unordered_pair(empty_set,X0))))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f52270,plain,(
% 288.51/36.63 ![X0]: (~member(empty_set,unaryUnion(singleton(unordered_pair(empty_set,X0))))|~spl0_821)),
% 288.51/36.63 inference(component_clause,[status(thm)],[f52269])).
% 288.51/36.63 fof(f52315,plain,(
% 288.51/36.63 $false|~spl0_821),
% 288.51/36.63 inference(forward_subsumption_resolution,[status(thm)],[f52270,f39402])).
% 288.51/36.63 fof(f52316,plain,(
% 288.51/36.63 ~spl0_821),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f52315])).
% 288.51/36.63 fof(f52377,plain,(
% 288.51/36.63 spl0_822 <=> ~member(empty_set,unaryUnion(power_set(unordered_pair(empty_set,X0))))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f52378,plain,(
% 288.51/36.63 ![X0]: (~member(empty_set,unaryUnion(power_set(unordered_pair(empty_set,X0))))|~spl0_822)),
% 288.51/36.63 inference(component_clause,[status(thm)],[f52377])).
% 288.51/36.63 fof(f52423,plain,(
% 288.51/36.63 $false|~spl0_822),
% 288.51/36.63 inference(forward_subsumption_resolution,[status(thm)],[f52378,f39398])).
% 288.51/36.63 fof(f52424,plain,(
% 288.51/36.63 ~spl0_822),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f52423])).
% 288.51/36.63 fof(f52948,plain,(
% 288.51/36.63 $false|~spl0_798),
% 288.51/36.63 inference(resolution,[status(thm)],[f48892,f18199])).
% 288.51/36.63 fof(f52949,plain,(
% 288.51/36.63 ~spl0_798),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f52948])).
% 288.51/36.63 fof(f52950,plain,(
% 288.51/36.63 $false|~spl0_800),
% 288.51/36.63 inference(resolution,[status(thm)],[f48984,f18230])).
% 288.51/36.63 fof(f52951,plain,(
% 288.51/36.63 ~spl0_800),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f52950])).
% 288.51/36.63 fof(f53037,plain,(
% 288.51/36.63 spl0_828 <=> member(X0,product(difference(power_set(empty_set),X1)))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f53038,plain,(
% 288.51/36.63 ![X0,X1]: (member(X0,product(difference(power_set(empty_set),X1)))|~spl0_828)),
% 288.51/36.63 inference(component_clause,[status(thm)],[f53037])).
% 288.51/36.63 fof(f53040,plain,(
% 288.51/36.63 ![X0,X1,X2,X3]: (member(X0,product(difference(power_set(empty_set),X1)))|singleton(X2)=empty_set|sk0_16(singleton(X2),power_set(empty_set))=X2|disjoint(X3,sk0_17(singleton(X2),power_set(empty_set)))|~spl0_231)),
% 288.51/36.63 inference(resolution,[status(thm)],[f23251,f44604])).
% 288.51/36.63 fof(f53041,plain,(
% 288.51/36.63 spl0_828|spl0_775|~spl0_231),
% 288.51/36.63 inference(split_clause,[status(thm)],[f53040,f53037,f45779,f12505])).
% 288.51/36.63 fof(f53051,plain,(
% 288.51/36.63 ![X0,X1,X2,X3]: (member(X0,product(difference(power_set(empty_set),X1)))|singleton(X2)=empty_set|sk0_16(singleton(X2),power_set(empty_set))=X2|disjoint(sk0_17(singleton(X2),power_set(empty_set)),X3)|~spl0_231)),
% 288.51/36.63 inference(resolution,[status(thm)],[f23251,f44605])).
% 288.51/36.63 fof(f53052,plain,(
% 288.51/36.63 spl0_828|spl0_777|~spl0_231),
% 288.51/36.63 inference(split_clause,[status(thm)],[f53051,f53037,f45865,f12505])).
% 288.51/36.63 fof(f54290,plain,(
% 288.51/36.63 ![X0]: (product(product(difference(power_set(empty_set),X0)))=empty_set|~spl0_828)),
% 288.51/36.63 inference(resolution,[status(thm)],[f53038,f28358])).
% 288.51/36.63 fof(f55217,plain,(
% 288.51/36.63 spl0_836 <=> ~member(empty_set,difference(power_set(empty_set),X0))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f55218,plain,(
% 288.51/36.63 ![X0]: (~member(empty_set,difference(power_set(empty_set),X0))|~spl0_836)),
% 288.51/36.63 inference(component_clause,[status(thm)],[f55217])).
% 288.51/36.63 fof(f55220,plain,(
% 288.51/36.63 ![X0,X1]: (~member(empty_set,difference(power_set(empty_set),X0))|member(X1,empty_set)|~spl0_828)),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f54290,f25167])).
% 288.51/36.63 fof(f55221,plain,(
% 288.51/36.63 spl0_836|spl0_137|~spl0_828),
% 288.51/36.63 inference(split_clause,[status(thm)],[f55220,f55217,f6985,f53037])).
% 288.51/36.63 fof(f55224,plain,(
% 288.51/36.63 spl0_837 <=> ~member(empty_set,product(difference(power_set(empty_set),X0)))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f55225,plain,(
% 288.51/36.63 ![X0]: (~member(empty_set,product(difference(power_set(empty_set),X0)))|~spl0_837)),
% 288.51/36.63 inference(component_clause,[status(thm)],[f55224])).
% 288.51/36.63 fof(f55270,plain,(
% 288.51/36.63 spl0_838 <=> member(empty_set,X0)),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f55271,plain,(
% 288.51/36.63 ![X0]: (member(empty_set,X0)|~spl0_838)),
% 288.51/36.63 inference(component_clause,[status(thm)],[f55270])).
% 288.51/36.63 fof(f55273,plain,(
% 288.51/36.63 ![X0]: (~member(empty_set,power_set(empty_set))|member(empty_set,X0)|~spl0_836)),
% 288.51/36.63 inference(resolution,[status(thm)],[f55218,f53])).
% 288.51/36.63 fof(f55274,plain,(
% 288.51/36.63 ~spl0_270|spl0_838|~spl0_836),
% 288.51/36.63 inference(split_clause,[status(thm)],[f55273,f13630,f55270,f55217])).
% 288.51/36.63 fof(f55304,plain,(
% 288.51/36.63 $false|~spl0_672),
% 288.51/36.63 inference(backward_subsumption_resolution,[status(thm)],[f5398,f30825])).
% 288.51/36.63 fof(f55305,plain,(
% 288.51/36.63 ~spl0_672),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f55304])).
% 288.51/36.63 fof(f55394,plain,(
% 288.51/36.63 ~member(empty_set,product(empty_set))|~spl0_837),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f34488,f55225])).
% 288.51/36.63 fof(f55395,plain,(
% 288.51/36.63 ~spl0_577|~spl0_837),
% 288.51/36.63 inference(split_clause,[status(thm)],[f55394,f25884,f55224])).
% 288.51/36.63 fof(f55595,plain,(
% 288.51/36.63 spl0_840 <=> difference(power_set(empty_set),X0)=empty_set),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f55596,plain,(
% 288.51/36.63 ![X0]: (difference(power_set(empty_set),X0)=empty_set|~spl0_840)),
% 288.51/36.63 inference(component_clause,[status(thm)],[f55595])).
% 288.51/36.63 fof(f55987,plain,(
% 288.51/36.63 spl0_851 <=> ~member(empty_set,product(intersection(power_set(empty_set),X0)))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f55988,plain,(
% 288.51/36.63 ![X0]: (~member(empty_set,product(intersection(power_set(empty_set),X0)))|~spl0_851)),
% 288.51/36.63 inference(component_clause,[status(thm)],[f55987])).
% 288.51/36.63 fof(f55992,plain,(
% 288.51/36.63 spl0_852 <=> ~member(empty_set,product(intersection(X0,power_set(empty_set))))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f55993,plain,(
% 288.51/36.63 ![X0]: (~member(empty_set,product(intersection(X0,power_set(empty_set))))|~spl0_852)),
% 288.51/36.63 inference(component_clause,[status(thm)],[f55992])).
% 288.51/36.63 fof(f57630,plain,(
% 288.51/36.63 spl0_856 <=> pd0_0(empty_set,difference(X0,power_set(sum(product(empty_set)))))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f57633,plain,(
% 288.51/36.63 spl0_857 <=> member(sk0_20(empty_set,empty_set),power_set(sum(product(empty_set))))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f57635,plain,(
% 288.51/36.63 ~member(sk0_20(empty_set,empty_set),power_set(sum(product(empty_set))))|spl0_857),
% 288.51/36.63 inference(component_clause,[status(thm)],[f57633])).
% 288.51/36.63 fof(f57636,plain,(
% 288.51/36.63 ![X0]: (pd0_0(empty_set,difference(X0,power_set(sum(product(empty_set)))))|~member(sk0_20(empty_set,empty_set),power_set(sum(product(empty_set)))))),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f26007,f5774])).
% 288.51/36.63 fof(f57637,plain,(
% 288.51/36.63 spl0_856|~spl0_857),
% 288.51/36.63 inference(split_clause,[status(thm)],[f57636,f57630,f57633])).
% 288.51/36.63 fof(f57718,plain,(
% 288.51/36.63 $false|spl0_857),
% 288.51/36.63 inference(forward_subsumption_resolution,[status(thm)],[f57635,f21100])).
% 288.51/36.63 fof(f57719,plain,(
% 288.51/36.63 spl0_857),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f57718])).
% 288.51/36.63 fof(f57991,plain,(
% 288.51/36.63 ![X0,X1]: (member(X0,product(X1))|~subset(X1,empty_set))),
% 288.51/36.63 inference(resolution,[status(thm)],[f3149,f48])).
% 288.51/36.63 fof(f57998,plain,(
% 288.51/36.63 spl0_858 <=> ~subset(power_set(empty_set),X1)|member(empty_set,X1)),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f57999,plain,(
% 288.51/36.63 ![X0]: (~subset(power_set(empty_set),X0)|member(empty_set,X0)|~spl0_858)),
% 288.51/36.63 inference(component_clause,[status(thm)],[f57998])).
% 288.51/36.63 fof(f58001,plain,(
% 288.51/36.63 ![X0,X1]: (member(X0,product(power_set(empty_set)))|~subset(power_set(empty_set),X1)|member(empty_set,X1)|~spl0_231)),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f29117,f3149])).
% 288.51/36.63 fof(f58002,plain,(
% 288.51/36.63 spl0_655|spl0_858|~spl0_231),
% 288.51/36.63 inference(split_clause,[status(thm)],[f58001,f30094,f57998,f12505])).
% 288.51/36.63 fof(f58003,plain,(
% 288.51/36.63 ![X0,X1]: (member(X0,product(singleton(empty_set)))|~subset(singleton(empty_set),X1)|member(empty_set,X1))),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f1864,f3149])).
% 288.51/36.63 fof(f58004,plain,(
% 288.51/36.63 spl0_17|spl0_773),
% 288.51/36.63 inference(split_clause,[status(thm)],[f58003,f1877,f44643])).
% 288.51/36.63 fof(f58278,plain,(
% 288.51/36.63 spl0_862 <=> pd0_0(difference(power_set(empty_set),X0),empty_set)),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f58279,plain,(
% 288.51/36.63 ![X0]: (pd0_0(difference(power_set(empty_set),X0),empty_set)|~spl0_862)),
% 288.51/36.63 inference(component_clause,[status(thm)],[f58278])).
% 288.51/36.63 fof(f58281,plain,(
% 288.51/36.63 ![X0]: (pd0_0(difference(power_set(empty_set),X0),empty_set)|member(sk0_21(empty_set,empty_set),power_set(empty_set))|~spl0_840)),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f55596,f5564])).
% 288.51/36.63 fof(f58282,plain,(
% 288.51/36.63 spl0_862|spl0_804|~spl0_840),
% 288.51/36.63 inference(split_clause,[status(thm)],[f58281,f58278,f49345,f55595])).
% 288.51/36.63 fof(f59020,plain,(
% 288.51/36.63 ![X0,X1]: (~member(X0,difference(power_set(empty_set),X1))|member(sk0_19(X0,difference(power_set(empty_set),X1),empty_set),empty_set)|~spl0_862)),
% 288.51/36.63 inference(resolution,[status(thm)],[f58279,f152])).
% 288.51/36.63 fof(f59021,plain,(
% 288.51/36.63 ![X0,X1]: (~member(X0,difference(power_set(empty_set),X1))|~spl0_862)),
% 288.51/36.63 inference(forward_subsumption_resolution,[status(thm)],[f59020,f48])).
% 288.51/36.63 fof(f59049,plain,(
% 288.51/36.63 ![X0,X1]: (member(X0,product(difference(power_set(empty_set),X1)))|~spl0_862)),
% 288.51/36.63 inference(resolution,[status(thm)],[f59021,f74])).
% 288.51/36.63 fof(f59050,plain,(
% 288.51/36.63 spl0_828|~spl0_862),
% 288.51/36.63 inference(split_clause,[status(thm)],[f59049,f53037,f58278])).
% 288.51/36.63 fof(f59344,plain,(
% 288.51/36.63 spl0_864 <=> sk0_20(empty_set,singleton(power_set(empty_set)))=power_set(empty_set)),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f59347,plain,(
% 288.51/36.63 ![X0]: (member(empty_set,X0)|sk0_20(empty_set,singleton(power_set(empty_set)))=power_set(empty_set)|~spl0_858|~spl0_114)),
% 288.51/36.63 inference(resolution,[status(thm)],[f57999,f7037])).
% 288.51/36.63 fof(f59348,plain,(
% 288.51/36.63 spl0_838|spl0_864|~spl0_858|~spl0_114),
% 288.51/36.63 inference(split_clause,[status(thm)],[f59347,f55270,f59344,f57998,f5919])).
% 288.51/36.63 fof(f59605,plain,(
% 288.51/36.63 ![X0,X1]: (member(X0,product(sk0_17(singleton(X1),power_set(empty_set))))|singleton(X1)=unaryUnion(power_set(empty_set))|sk0_16(singleton(X1),power_set(empty_set))=X1)),
% 288.51/36.63 inference(resolution,[status(thm)],[f57991,f5809])).
% 288.51/36.63 fof(f59606,plain,(
% 288.51/36.63 ![X0,X1]: (member(X0,product(sk0_17(singleton(X1),power_set(empty_set))))|singleton(X1)=empty_set|sk0_16(singleton(X1),power_set(empty_set))=X1|~spl0_231)),
% 288.51/36.63 inference(forward_demodulation,[status(thm)],[f12506,f59605])).
% 288.51/36.63 fof(f59626,plain,(
% 288.51/36.63 spl0_869 <=> member(X0,product(X1))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f59627,plain,(
% 288.51/36.63 ![X0,X1]: (member(X0,product(X1))|~spl0_869)),
% 288.51/36.63 inference(component_clause,[status(thm)],[f59626])).
% 288.51/36.63 fof(f59835,plain,(
% 288.51/36.63 spl0_870 <=> empty_set=unaryUnion(difference(X0,power_set(power_set(product(empty_set)))))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f59838,plain,(
% 288.51/36.63 spl0_871 <=> member(sk0_17(empty_set,empty_set),power_set(power_set(product(empty_set))))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f59840,plain,(
% 288.51/36.63 ~member(sk0_17(empty_set,empty_set),power_set(power_set(product(empty_set))))|spl0_871),
% 288.51/36.63 inference(component_clause,[status(thm)],[f59838])).
% 288.51/36.63 fof(f59841,plain,(
% 288.51/36.63 ![X0]: (empty_set=unaryUnion(difference(X0,power_set(power_set(product(empty_set)))))|~member(sk0_17(empty_set,empty_set),power_set(power_set(product(empty_set)))))),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f26011,f5800])).
% 288.51/36.63 fof(f59842,plain,(
% 288.51/36.63 spl0_870|~spl0_871),
% 288.51/36.63 inference(split_clause,[status(thm)],[f59841,f59835,f59838])).
% 288.51/36.63 fof(f59845,plain,(
% 288.51/36.63 spl0_872 <=> pd0_0(empty_set,difference(X0,power_set(power_set(product(empty_set)))))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f59848,plain,(
% 288.51/36.63 spl0_873 <=> member(sk0_20(empty_set,empty_set),power_set(power_set(product(empty_set))))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f59850,plain,(
% 288.51/36.63 ~member(sk0_20(empty_set,empty_set),power_set(power_set(product(empty_set))))|spl0_873),
% 288.51/36.63 inference(component_clause,[status(thm)],[f59848])).
% 288.51/36.63 fof(f59851,plain,(
% 288.51/36.63 ![X0]: (pd0_0(empty_set,difference(X0,power_set(power_set(product(empty_set)))))|~member(sk0_20(empty_set,empty_set),power_set(power_set(product(empty_set)))))),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f26011,f5774])).
% 288.51/36.63 fof(f59852,plain,(
% 288.51/36.63 spl0_872|~spl0_873),
% 288.51/36.63 inference(split_clause,[status(thm)],[f59851,f59845,f59848])).
% 288.51/36.63 fof(f59933,plain,(
% 288.51/36.63 $false|spl0_873),
% 288.51/36.63 inference(forward_subsumption_resolution,[status(thm)],[f59850,f2787])).
% 288.51/36.63 fof(f59934,plain,(
% 288.51/36.63 spl0_873),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f59933])).
% 288.51/36.63 fof(f59935,plain,(
% 288.51/36.63 $false|spl0_871),
% 288.51/36.63 inference(forward_subsumption_resolution,[status(thm)],[f59840,f2787])).
% 288.51/36.63 fof(f59936,plain,(
% 288.51/36.63 spl0_871),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f59935])).
% 288.51/36.63 fof(f60073,plain,(
% 288.51/36.63 spl0_874 <=> empty_set=unaryUnion(difference(X0,sum(power_set(product(empty_set)))))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f60076,plain,(
% 288.51/36.63 spl0_875 <=> member(sk0_17(empty_set,empty_set),sum(power_set(product(empty_set))))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f60078,plain,(
% 288.51/36.63 ~member(sk0_17(empty_set,empty_set),sum(power_set(product(empty_set))))|spl0_875),
% 288.51/36.63 inference(component_clause,[status(thm)],[f60076])).
% 288.51/36.63 fof(f60079,plain,(
% 288.51/36.63 ![X0]: (empty_set=unaryUnion(difference(X0,sum(power_set(product(empty_set)))))|~member(sk0_17(empty_set,empty_set),sum(power_set(product(empty_set)))))),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f25984,f5800])).
% 288.51/36.63 fof(f60080,plain,(
% 288.51/36.63 spl0_874|~spl0_875),
% 288.51/36.63 inference(split_clause,[status(thm)],[f60079,f60073,f60076])).
% 288.51/36.63 fof(f60083,plain,(
% 288.51/36.63 spl0_876 <=> pd0_0(empty_set,difference(X0,sum(power_set(product(empty_set)))))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f60086,plain,(
% 288.51/36.63 spl0_877 <=> member(sk0_20(empty_set,empty_set),sum(power_set(product(empty_set))))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f60088,plain,(
% 288.51/36.63 ~member(sk0_20(empty_set,empty_set),sum(power_set(product(empty_set))))|spl0_877),
% 288.51/36.63 inference(component_clause,[status(thm)],[f60086])).
% 288.51/36.63 fof(f60089,plain,(
% 288.51/36.63 ![X0]: (pd0_0(empty_set,difference(X0,sum(power_set(product(empty_set)))))|~member(sk0_20(empty_set,empty_set),sum(power_set(product(empty_set)))))),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f25984,f5774])).
% 288.51/36.63 fof(f60090,plain,(
% 288.51/36.63 spl0_876|~spl0_877),
% 288.51/36.63 inference(split_clause,[status(thm)],[f60089,f60083,f60086])).
% 288.51/36.63 fof(f60171,plain,(
% 288.51/36.63 $false|spl0_877),
% 288.51/36.63 inference(forward_subsumption_resolution,[status(thm)],[f60088,f21043])).
% 288.51/36.63 fof(f60172,plain,(
% 288.51/36.63 spl0_877),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f60171])).
% 288.51/36.63 fof(f60173,plain,(
% 288.51/36.63 $false|spl0_875),
% 288.51/36.63 inference(forward_subsumption_resolution,[status(thm)],[f60078,f21043])).
% 288.51/36.63 fof(f60174,plain,(
% 288.51/36.63 spl0_875),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f60173])).
% 288.51/36.63 fof(f60675,plain,(
% 288.51/36.63 ![X0]: (member(X0,empty_set)|~spl0_869)),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f48890,f59627])).
% 288.51/36.63 fof(f60676,plain,(
% 288.51/36.63 spl0_137|~spl0_869),
% 288.51/36.63 inference(split_clause,[status(thm)],[f60675,f6985,f59626])).
% 288.51/36.63 fof(f60809,plain,(
% 288.51/36.63 ![X0,X1]: (empty_set=X0|empty_set=X1|~spl0_838)),
% 288.51/36.63 inference(resolution,[status(thm)],[f55271,f60])).
% 288.51/36.63 fof(f60810,plain,(
% 288.51/36.63 spl0_1|~spl0_838),
% 288.51/36.63 inference(split_clause,[status(thm)],[f60809,f377,f55270])).
% 288.51/36.63 fof(f60842,plain,(
% 288.51/36.63 ![X0]: (singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|sum(product(product(sk0_17(singleton(X0),power_set(empty_set)))))=empty_set|~spl0_231)),
% 288.51/36.63 inference(resolution,[status(thm)],[f59606,f25734])).
% 288.51/36.63 fof(f60855,plain,(
% 288.51/36.63 ![X0,X1]: (singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|empty_set=unaryUnion(difference(X1,product(sk0_17(singleton(X0),power_set(empty_set)))))|~spl0_231)),
% 288.51/36.63 inference(resolution,[status(thm)],[f59606,f5800])).
% 288.51/36.63 fof(f60862,plain,(
% 288.51/36.63 ![X0,X1]: (singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|product(empty_set)=unaryUnion(X1)|~member(product(sk0_17(singleton(X0),power_set(empty_set))),X1)|~spl0_231)),
% 288.51/36.63 inference(resolution,[status(thm)],[f59606,f4538])).
% 288.51/36.63 fof(f60868,plain,(
% 288.51/36.63 ![X0,X1,X2]: (singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|~member(product(sk0_17(singleton(X0),power_set(empty_set))),X1)|subset(X2,unaryUnion(X1))|~spl0_231)),
% 288.51/36.63 inference(resolution,[status(thm)],[f59606,f2151])).
% 288.51/36.63 fof(f60869,plain,(
% 288.51/36.63 ![X0,X1,X2]: (singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|~member(product(sk0_17(singleton(X0),power_set(empty_set))),X1)|subset(X2,sum(X1))|~spl0_231)),
% 288.51/36.63 inference(resolution,[status(thm)],[f59606,f898])).
% 288.51/36.63 fof(f61040,plain,(
% 288.51/36.63 spl0_878 <=> ~member(product(empty_set),product(product(sk0_17(singleton(X0),power_set(empty_set)))))|singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f61043,plain,(
% 288.51/36.63 ![X0,X1]: (~member(product(empty_set),product(product(sk0_17(singleton(X0),power_set(empty_set)))))|subset(X1,empty_set)|singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|~spl0_231)),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f60842,f19583])).
% 288.51/36.63 fof(f61044,plain,(
% 288.51/36.63 spl0_878|spl0_139|~spl0_231),
% 288.51/36.63 inference(split_clause,[status(thm)],[f61043,f61040,f6998,f12505])).
% 288.51/36.63 fof(f62417,plain,(
% 288.51/36.63 ![X0,X1,X2]: (~member(X0,product(X1))|~member(singleton(X2),X1)|X0=X2)),
% 288.51/36.63 inference(resolution,[status(thm)],[f73,f56])).
% 288.51/36.63 fof(f62574,plain,(
% 288.51/36.63 ~member(empty_set,product(empty_set))|~spl0_852),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f9641,f55993])).
% 288.51/36.63 fof(f62575,plain,(
% 288.51/36.63 ~spl0_577|~spl0_852),
% 288.51/36.63 inference(split_clause,[status(thm)],[f62574,f25884,f55992])).
% 288.51/36.63 fof(f62582,plain,(
% 288.51/36.63 ~member(empty_set,product(empty_set))|~spl0_851),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f9679,f55988])).
% 288.51/36.63 fof(f62583,plain,(
% 288.51/36.63 ~spl0_577|~spl0_851),
% 288.51/36.63 inference(split_clause,[status(thm)],[f62582,f25884,f55987])).
% 288.51/36.63 fof(f62827,plain,(
% 288.51/36.63 spl0_879 <=> ~member(product(empty_set),difference(X0,product(sk0_17(singleton(X1),power_set(empty_set)))))|singleton(X1)=empty_set|sk0_16(singleton(X1),power_set(empty_set))=X1),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f62830,plain,(
% 288.51/36.63 ![X0,X1,X2]: (~member(product(empty_set),difference(X0,product(sk0_17(singleton(X1),power_set(empty_set)))))|subset(X2,empty_set)|singleton(X1)=empty_set|sk0_16(singleton(X1),power_set(empty_set))=X1|~spl0_231)),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f60855,f30069])).
% 288.51/36.63 fof(f62831,plain,(
% 288.51/36.63 spl0_879|spl0_139|~spl0_231),
% 288.51/36.63 inference(split_clause,[status(thm)],[f62830,f62827,f6998,f12505])).
% 288.51/36.63 fof(f63025,plain,(
% 288.51/36.63 ![X0,X1]: (~member(X0,product(singleton(singleton(X1))))|X0=X1)),
% 288.51/36.63 inference(resolution,[status(thm)],[f62417,f179])).
% 288.51/36.63 fof(f63346,plain,(
% 288.51/36.63 spl0_881 <=> member(empty_set,sk0_21(singleton(singleton(empty_set)),empty_set))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f63348,plain,(
% 288.51/36.63 ~member(empty_set,sk0_21(singleton(singleton(empty_set)),empty_set))|spl0_881),
% 288.51/36.63 inference(component_clause,[status(thm)],[f63346])).
% 288.51/36.63 fof(f63357,plain,(
% 288.51/36.63 spl0_882 <=> member(empty_set,sk0_20(empty_set,singleton(singleton(empty_set))))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f63359,plain,(
% 288.51/36.63 ~member(empty_set,sk0_20(empty_set,singleton(singleton(empty_set))))|spl0_882),
% 288.51/36.63 inference(component_clause,[status(thm)],[f63357])).
% 288.51/36.63 fof(f63391,plain,(
% 288.51/36.63 ~member(empty_set,singleton(empty_set))|~spl0_185|~spl0_189),
% 288.51/36.63 inference(resolution,[status(thm)],[f8732,f179])).
% 288.51/36.63 fof(f63392,plain,(
% 288.51/36.63 $false|~spl0_185|~spl0_189),
% 288.51/36.63 inference(forward_subsumption_resolution,[status(thm)],[f63391,f179])).
% 288.51/36.63 fof(f63393,plain,(
% 288.51/36.63 ~spl0_185|~spl0_189),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f63392])).
% 288.51/36.63 fof(f63394,plain,(
% 288.51/36.63 ~member(empty_set,singleton(empty_set))|~spl0_114|spl0_882),
% 288.51/36.63 inference(forward_demodulation,[status(thm)],[f6979,f63359])).
% 288.51/36.63 fof(f63395,plain,(
% 288.51/36.63 $false|~spl0_114|spl0_882),
% 288.51/36.63 inference(forward_subsumption_resolution,[status(thm)],[f63394,f179])).
% 288.51/36.63 fof(f63396,plain,(
% 288.51/36.63 ~spl0_114|spl0_882),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f63395])).
% 288.51/36.63 fof(f63397,plain,(
% 288.51/36.63 ~member(empty_set,singleton(empty_set))|~spl0_114|spl0_881),
% 288.51/36.63 inference(forward_demodulation,[status(thm)],[f6455,f63348])).
% 288.51/36.63 fof(f63398,plain,(
% 288.51/36.63 $false|~spl0_114|spl0_881),
% 288.51/36.63 inference(forward_subsumption_resolution,[status(thm)],[f63397,f179])).
% 288.51/36.63 fof(f63399,plain,(
% 288.51/36.63 ~spl0_114|spl0_881),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f63398])).
% 288.51/36.63 fof(f63403,plain,(
% 288.51/36.63 singleton(empty_set)=singleton(empty_set)|empty_set=unaryUnion(singleton(singleton(empty_set)))|~spl0_188),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f5798,f8707])).
% 288.51/36.63 fof(f63404,plain,(
% 288.51/36.63 spl0_5|spl0_184|~spl0_188),
% 288.51/36.63 inference(split_clause,[status(thm)],[f63403,f417,f8592,f8706])).
% 288.51/36.63 fof(f63407,plain,(
% 288.51/36.63 empty_set=unaryUnion(singleton(singleton(empty_set)))|member(singleton(empty_set),singleton(singleton(empty_set)))|~spl0_188),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f8707,f4550])).
% 288.51/36.63 fof(f63408,plain,(
% 288.51/36.63 spl0_184|spl0_9|~spl0_188),
% 288.51/36.63 inference(split_clause,[status(thm)],[f63407,f8592,f436,f8706])).
% 288.51/36.63 fof(f63409,plain,(
% 288.51/36.63 spl0_883 <=> member(sk0_16(empty_set,singleton(singleton(empty_set))),singleton(empty_set))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f63412,plain,(
% 288.51/36.63 empty_set=unaryUnion(singleton(singleton(empty_set)))|member(sk0_16(empty_set,singleton(singleton(empty_set))),empty_set)|member(sk0_16(empty_set,singleton(singleton(empty_set))),singleton(empty_set))|~spl0_188),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f8707,f142])).
% 288.51/36.63 fof(f63413,plain,(
% 288.51/36.63 spl0_184|spl0_190|spl0_883|~spl0_188),
% 288.51/36.63 inference(split_clause,[status(thm)],[f63412,f8592,f8716,f63409,f8706])).
% 288.51/36.63 fof(f63420,plain,(
% 288.51/36.63 singleton(empty_set)=empty_set|~spl0_113),
% 288.51/36.63 inference(resolution,[status(thm)],[f5850,f63025])).
% 288.51/36.63 fof(f63421,plain,(
% 288.51/36.63 spl0_66|~spl0_113),
% 288.51/36.63 inference(split_clause,[status(thm)],[f63420,f3425,f5849])).
% 288.51/36.63 fof(f63454,plain,(
% 288.51/36.63 spl0_884 <=> subset(sk0_17(empty_set,singleton(singleton(empty_set))),empty_set)),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f63455,plain,(
% 288.51/36.63 subset(sk0_17(empty_set,singleton(singleton(empty_set))),empty_set)|~spl0_884),
% 288.51/36.63 inference(component_clause,[status(thm)],[f63454])).
% 288.51/36.63 fof(f63457,plain,(
% 288.51/36.63 subset(sk0_17(empty_set,singleton(singleton(empty_set))),empty_set)|empty_set=unaryUnion(singleton(singleton(empty_set)))|~spl0_202),
% 288.51/36.63 inference(resolution,[status(thm)],[f8959,f4550])).
% 288.51/36.63 fof(f63458,plain,(
% 288.51/36.63 spl0_884|spl0_184|~spl0_202),
% 288.51/36.63 inference(split_clause,[status(thm)],[f63457,f63454,f8592,f8887])).
% 288.51/36.63 fof(f63497,plain,(
% 288.51/36.63 spl0_886 <=> subset(sk0_21(singleton(singleton(empty_set)),empty_set),empty_set)),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f63498,plain,(
% 288.51/36.63 subset(sk0_21(singleton(singleton(empty_set)),empty_set),empty_set)|~spl0_886),
% 288.51/36.63 inference(component_clause,[status(thm)],[f63497])).
% 288.51/36.63 fof(f63499,plain,(
% 288.51/36.63 ~subset(sk0_21(singleton(singleton(empty_set)),empty_set),empty_set)|spl0_886),
% 288.51/36.63 inference(component_clause,[status(thm)],[f63497])).
% 288.51/36.63 fof(f63508,plain,(
% 288.51/36.63 spl0_887 <=> subset(sk0_20(empty_set,singleton(singleton(empty_set))),empty_set)),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f63509,plain,(
% 288.51/36.63 subset(sk0_20(empty_set,singleton(singleton(empty_set))),empty_set)|~spl0_887),
% 288.51/36.63 inference(component_clause,[status(thm)],[f63508])).
% 288.51/36.63 fof(f63549,plain,(
% 288.51/36.63 subset(singleton(empty_set),empty_set)|~spl0_114|~spl0_886),
% 288.51/36.63 inference(forward_demodulation,[status(thm)],[f6455,f63498])).
% 288.51/36.63 fof(f63550,plain,(
% 288.51/36.63 subset(singleton(empty_set),empty_set)|~spl0_188|~spl0_884),
% 288.51/36.63 inference(forward_demodulation,[status(thm)],[f8707,f63455])).
% 288.51/36.63 fof(f63551,plain,(
% 288.51/36.63 subset(singleton(empty_set),empty_set)|~spl0_114|~spl0_887),
% 288.51/36.63 inference(forward_demodulation,[status(thm)],[f6979,f63509])).
% 288.51/36.63 fof(f63552,plain,(
% 288.51/36.63 member(empty_set,empty_set)|~spl0_114|~spl0_886),
% 288.51/36.63 inference(resolution,[status(thm)],[f63549,f2779])).
% 288.51/36.63 fof(f63553,plain,(
% 288.51/36.63 spl0_187|~spl0_114|~spl0_886),
% 288.51/36.63 inference(split_clause,[status(thm)],[f63552,f8703,f5919,f63497])).
% 288.51/36.63 fof(f63567,plain,(
% 288.51/36.63 ~subset(singleton(empty_set),empty_set)|~spl0_114|spl0_886),
% 288.51/36.63 inference(forward_demodulation,[status(thm)],[f6455,f63499])).
% 288.51/36.63 fof(f63568,plain,(
% 288.51/36.63 member(empty_set,empty_set)|~spl0_188|~spl0_884),
% 288.51/36.63 inference(resolution,[status(thm)],[f63550,f2779])).
% 288.51/36.63 fof(f63569,plain,(
% 288.51/36.63 spl0_187|~spl0_188|~spl0_884),
% 288.51/36.63 inference(split_clause,[status(thm)],[f63568,f8703,f8706,f63454])).
% 288.51/36.63 fof(f63584,plain,(
% 288.51/36.63 member(empty_set,empty_set)|~spl0_114|~spl0_887),
% 288.51/36.63 inference(resolution,[status(thm)],[f63551,f2779])).
% 288.51/36.63 fof(f63585,plain,(
% 288.51/36.63 spl0_187|~spl0_114|~spl0_887),
% 288.51/36.63 inference(split_clause,[status(thm)],[f63584,f8703,f5919,f63508])).
% 288.51/36.63 fof(f64092,plain,(
% 288.51/36.63 spl0_894 <=> singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|~member(empty_set,sk0_17(singleton(X0),power_set(empty_set)))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f64095,plain,(
% 288.51/36.63 spl0_895 <=> product(empty_set)=unaryUnion(power_set(X1))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f64096,plain,(
% 288.51/36.63 ![X0]: (product(empty_set)=unaryUnion(power_set(X0))|~spl0_895)),
% 288.51/36.63 inference(component_clause,[status(thm)],[f64095])).
% 288.51/36.63 fof(f64098,plain,(
% 288.51/36.63 ![X0,X1]: (singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|product(empty_set)=unaryUnion(power_set(X1))|~member(empty_set,sk0_17(singleton(X0),power_set(empty_set)))|~spl0_231)),
% 288.51/36.63 inference(resolution,[status(thm)],[f60862,f28165])).
% 288.51/36.63 fof(f64099,plain,(
% 288.51/36.63 spl0_894|spl0_895|~spl0_231),
% 288.51/36.63 inference(split_clause,[status(thm)],[f64098,f64092,f64095,f12505])).
% 288.51/36.63 fof(f64102,plain,(
% 288.51/36.63 spl0_896 <=> product(empty_set)=unaryUnion(product(empty_set))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f64103,plain,(
% 288.51/36.63 product(empty_set)=unaryUnion(product(empty_set))|~spl0_896),
% 288.51/36.63 inference(component_clause,[status(thm)],[f64102])).
% 288.51/36.63 fof(f64198,plain,(
% 288.51/36.63 spl0_914 <=> product(empty_set)=unaryUnion(power_set(product(empty_set)))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f64199,plain,(
% 288.51/36.63 product(empty_set)=unaryUnion(power_set(product(empty_set)))|~spl0_914),
% 288.51/36.63 inference(component_clause,[status(thm)],[f64198])).
% 288.51/36.63 fof(f64420,plain,(
% 288.51/36.63 spl0_951 <=> product(empty_set)=unaryUnion(sum(product(empty_set)))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f64421,plain,(
% 288.51/36.63 product(empty_set)=unaryUnion(sum(product(empty_set)))|~spl0_951),
% 288.51/36.63 inference(component_clause,[status(thm)],[f64420])).
% 288.51/36.63 fof(f64460,plain,(
% 288.51/36.63 spl0_958 <=> product(empty_set)=unaryUnion(union(product(empty_set),X1))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f64461,plain,(
% 288.51/36.63 ![X0]: (product(empty_set)=unaryUnion(union(product(empty_set),X0))|~spl0_958)),
% 288.51/36.63 inference(component_clause,[status(thm)],[f64460])).
% 288.51/36.63 fof(f64494,plain,(
% 288.51/36.63 spl0_964 <=> product(empty_set)=unaryUnion(union(X1,product(empty_set)))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f64495,plain,(
% 288.51/36.63 ![X0]: (product(empty_set)=unaryUnion(union(X0,product(empty_set)))|~spl0_964)),
% 288.51/36.63 inference(component_clause,[status(thm)],[f64494])).
% 288.51/36.63 fof(f64540,plain,(
% 288.51/36.63 empty_set=product(empty_set)|~spl0_895|~spl0_231),
% 288.51/36.63 inference(backward_demodulation,[status(thm)],[f64096,f12506])).
% 288.51/36.63 fof(f64541,plain,(
% 288.51/36.63 spl0_174|~spl0_895|~spl0_231),
% 288.51/36.63 inference(split_clause,[status(thm)],[f64540,f7949,f64095,f12505])).
% 288.51/36.63 fof(f64549,plain,(
% 288.51/36.63 spl0_966 <=> ~member(product(empty_set),power_set(X0))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f64550,plain,(
% 288.51/36.63 ![X0]: (~member(product(empty_set),power_set(X0))|~spl0_966)),
% 288.51/36.63 inference(component_clause,[status(thm)],[f64549])).
% 288.51/36.63 fof(f64590,plain,(
% 288.51/36.63 $false|~spl0_966|~spl0_167),
% 288.51/36.63 inference(resolution,[status(thm)],[f64550,f10986])).
% 288.51/36.63 fof(f64591,plain,(
% 288.51/36.63 ~spl0_966|~spl0_167),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f64590])).
% 288.51/36.63 fof(f64640,plain,(
% 288.51/36.63 spl0_967 <=> member(product(empty_set),product(empty_set))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f64642,plain,(
% 288.51/36.63 ~member(product(empty_set),product(empty_set))|spl0_967),
% 288.51/36.63 inference(component_clause,[status(thm)],[f64640])).
% 288.51/36.63 fof(f64661,plain,(
% 288.51/36.63 $false|spl0_967),
% 288.51/36.63 inference(forward_subsumption_resolution,[status(thm)],[f64642,f14912])).
% 288.51/36.63 fof(f64662,plain,(
% 288.51/36.63 spl0_967),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f64661])).
% 288.51/36.63 fof(f65131,plain,(
% 288.51/36.63 spl0_1016 <=> member(product(empty_set),sum(product(empty_set)))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f65133,plain,(
% 288.51/36.63 ~member(product(empty_set),sum(product(empty_set)))|spl0_1016),
% 288.51/36.63 inference(component_clause,[status(thm)],[f65131])).
% 288.51/36.63 fof(f65152,plain,(
% 288.51/36.63 $false|spl0_1016),
% 288.51/36.63 inference(forward_subsumption_resolution,[status(thm)],[f65133,f21049])).
% 288.51/36.63 fof(f65153,plain,(
% 288.51/36.63 spl0_1016),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f65152])).
% 288.51/36.63 fof(f65156,plain,(
% 288.51/36.63 spl0_1017 <=> member(product(empty_set),power_set(product(empty_set)))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f65158,plain,(
% 288.51/36.63 ~member(product(empty_set),power_set(product(empty_set)))|spl0_1017),
% 288.51/36.63 inference(component_clause,[status(thm)],[f65156])).
% 288.51/36.63 fof(f65176,plain,(
% 288.51/36.63 $false|spl0_1017),
% 288.51/36.63 inference(forward_subsumption_resolution,[status(thm)],[f65158,f14924])).
% 288.51/36.63 fof(f65177,plain,(
% 288.51/36.63 spl0_1017),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f65176])).
% 288.51/36.63 fof(f65852,plain,(
% 288.51/36.63 spl0_1026 <=> union(power_set(empty_set),power_set(empty_set))=empty_set),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f65853,plain,(
% 288.51/36.63 union(power_set(empty_set),power_set(empty_set))=empty_set|~spl0_1026),
% 288.51/36.63 inference(component_clause,[status(thm)],[f65852])).
% 288.51/36.63 fof(f65855,plain,(
% 288.51/36.63 spl0_1027 <=> ~member(X0,sk0_16(union(power_set(empty_set),power_set(empty_set)),empty_set))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f65858,plain,(
% 288.51/36.63 ![X0]: (union(power_set(empty_set),power_set(empty_set))=empty_set|~member(X0,sk0_16(union(power_set(empty_set),power_set(empty_set)),empty_set))|~spl0_231)),
% 288.51/36.63 inference(resolution,[status(thm)],[f5906,f13102])).
% 288.51/36.63 fof(f65859,plain,(
% 288.51/36.63 spl0_1026|spl0_1027|~spl0_231),
% 288.51/36.63 inference(split_clause,[status(thm)],[f65858,f65852,f65855,f12505])).
% 288.51/36.63 fof(f65895,plain,(
% 288.51/36.63 spl0_1028 <=> union(singleton(empty_set),singleton(empty_set))=empty_set),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f65896,plain,(
% 288.51/36.63 union(singleton(empty_set),singleton(empty_set))=empty_set|~spl0_1028),
% 288.51/36.63 inference(component_clause,[status(thm)],[f65895])).
% 288.51/36.63 fof(f65898,plain,(
% 288.51/36.63 spl0_1029 <=> subset(sk0_16(union(singleton(empty_set),singleton(empty_set)),empty_set),empty_set)),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f65904,plain,(
% 288.51/36.63 spl0_1030 <=> ~member(X0,sk0_16(union(singleton(empty_set),singleton(empty_set)),empty_set))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f65907,plain,(
% 288.51/36.63 ![X0]: (union(singleton(empty_set),singleton(empty_set))=empty_set|~member(X0,sk0_16(union(singleton(empty_set),singleton(empty_set)),empty_set))|~spl0_150)),
% 288.51/36.63 inference(resolution,[status(thm)],[f5906,f7645])).
% 288.51/36.63 fof(f65908,plain,(
% 288.51/36.63 spl0_1028|spl0_1030|~spl0_150),
% 288.51/36.63 inference(split_clause,[status(thm)],[f65907,f65895,f65904,f7241])).
% 288.51/36.63 fof(f66252,plain,(
% 288.51/36.63 spl0_1035 <=> singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|~member(product(sk0_17(singleton(X0),power_set(empty_set))),power_set(empty_set))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f66255,plain,(
% 288.51/36.63 ![X0,X1]: (singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|~member(product(sk0_17(singleton(X0),power_set(empty_set))),power_set(empty_set))|subset(X1,empty_set)|~spl0_231)),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f12506,f60868])).
% 288.51/36.63 fof(f66256,plain,(
% 288.51/36.63 spl0_1035|spl0_139|~spl0_231),
% 288.51/36.63 inference(split_clause,[status(thm)],[f66255,f66252,f6998,f12505])).
% 288.51/36.63 fof(f66257,plain,(
% 288.51/36.63 spl0_1036 <=> singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|~member(product(sk0_17(singleton(X0),power_set(empty_set))),equivalence_class(X1,power_set(empty_set),X2))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f66260,plain,(
% 288.51/36.63 ![X0,X1,X2,X3]: (singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|~member(product(sk0_17(singleton(X0),power_set(empty_set))),equivalence_class(X1,power_set(empty_set),X2))|subset(X3,empty_set)|~spl0_231)),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f36044,f60868])).
% 288.51/36.63 fof(f66261,plain,(
% 288.51/36.63 spl0_1036|spl0_139|~spl0_231),
% 288.51/36.63 inference(split_clause,[status(thm)],[f66260,f66257,f6998,f12505])).
% 288.51/36.63 fof(f66262,plain,(
% 288.51/36.63 spl0_1037 <=> singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|~member(product(sk0_17(singleton(X0),power_set(empty_set))),difference(power_set(empty_set),X1))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f66265,plain,(
% 288.51/36.63 ![X0,X1,X2]: (singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|~member(product(sk0_17(singleton(X0),power_set(empty_set))),difference(power_set(empty_set),X1))|subset(X2,empty_set)|~spl0_231)),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f14766,f60868])).
% 288.51/36.63 fof(f66266,plain,(
% 288.51/36.63 spl0_1037|spl0_139|~spl0_231),
% 288.51/36.63 inference(split_clause,[status(thm)],[f66265,f66262,f6998,f12505])).
% 288.51/36.63 fof(f66267,plain,(
% 288.51/36.63 spl0_1038 <=> singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|~member(product(sk0_17(singleton(X0),power_set(empty_set))),difference(X1,product(sk0_17(singleton(X2),power_set(empty_set)))))|singleton(X2)=empty_set|sk0_16(singleton(X2),power_set(empty_set))=X2),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f66270,plain,(
% 288.51/36.63 ![X0,X1,X2,X3]: (singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|~member(product(sk0_17(singleton(X0),power_set(empty_set))),difference(X1,product(sk0_17(singleton(X2),power_set(empty_set)))))|subset(X3,empty_set)|singleton(X2)=empty_set|sk0_16(singleton(X2),power_set(empty_set))=X2|~spl0_231)),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f60855,f60868])).
% 288.51/36.63 fof(f66271,plain,(
% 288.51/36.63 spl0_1038|spl0_139|~spl0_231),
% 288.51/36.63 inference(split_clause,[status(thm)],[f66270,f66267,f6998,f12505])).
% 288.51/36.63 fof(f66272,plain,(
% 288.51/36.63 spl0_1039 <=> singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|~member(product(sk0_17(singleton(X0),power_set(empty_set))),intersection(power_set(empty_set),X1))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f66275,plain,(
% 288.51/36.63 ![X0,X1,X2]: (singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|~member(product(sk0_17(singleton(X0),power_set(empty_set))),intersection(power_set(empty_set),X1))|subset(X2,empty_set)|~spl0_231)),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f14535,f60868])).
% 288.51/36.63 fof(f66276,plain,(
% 288.51/36.63 spl0_1039|spl0_139|~spl0_231),
% 288.51/36.63 inference(split_clause,[status(thm)],[f66275,f66272,f6998,f12505])).
% 288.51/36.63 fof(f66277,plain,(
% 288.51/36.63 spl0_1040 <=> singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|~member(product(sk0_17(singleton(X0),power_set(empty_set))),intersection(X1,power_set(empty_set)))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f66280,plain,(
% 288.51/36.63 ![X0,X1,X2]: (singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|~member(product(sk0_17(singleton(X0),power_set(empty_set))),intersection(X1,power_set(empty_set)))|subset(X2,empty_set)|~spl0_231)),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f14599,f60868])).
% 288.51/36.63 fof(f66281,plain,(
% 288.51/36.63 spl0_1040|spl0_139|~spl0_231),
% 288.51/36.63 inference(split_clause,[status(thm)],[f66280,f66277,f6998,f12505])).
% 288.51/36.63 fof(f66282,plain,(
% 288.51/36.63 spl0_1041 <=> singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|~member(product(sk0_17(singleton(X0),power_set(empty_set))),singleton(empty_set))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f66285,plain,(
% 288.51/36.63 ![X0,X1]: (singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|~member(product(sk0_17(singleton(X0),power_set(empty_set))),singleton(empty_set))|subset(X1,empty_set)|~spl0_231|~spl0_167|~spl0_114)),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f11064,f60868])).
% 288.51/36.63 fof(f66286,plain,(
% 288.51/36.63 spl0_1041|spl0_139|~spl0_231|~spl0_167|~spl0_114),
% 288.51/36.63 inference(split_clause,[status(thm)],[f66285,f66282,f6998,f12505,f7695,f5919])).
% 288.51/36.63 fof(f66287,plain,(
% 288.51/36.63 spl0_1042 <=> singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|~member(product(sk0_17(singleton(X0),power_set(empty_set))),empty_set)),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f66290,plain,(
% 288.51/36.63 ![X0,X1]: (singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|~member(product(sk0_17(singleton(X0),power_set(empty_set))),empty_set)|subset(X1,empty_set)|~spl0_231)),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f4886,f60868])).
% 288.51/36.63 fof(f66291,plain,(
% 288.51/36.63 spl0_1042|spl0_139|~spl0_231),
% 288.51/36.63 inference(split_clause,[status(thm)],[f66290,f66287,f6998,f12505])).
% 288.51/36.63 fof(f66303,plain,(
% 288.51/36.63 product(empty_set)=empty_set|~spl0_1028),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f65896,f28445])).
% 288.51/36.63 fof(f66304,plain,(
% 288.51/36.63 spl0_174|~spl0_1028),
% 288.51/36.63 inference(split_clause,[status(thm)],[f66303,f7949,f65895])).
% 288.51/36.63 fof(f66311,plain,(
% 288.51/36.63 ![X0]: (~member(X0,singleton(empty_set))|subset(X0,empty_set)|~spl0_167|~spl0_114)),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f11064,f29997])).
% 288.51/36.63 fof(f66365,plain,(
% 288.51/36.63 product(empty_set)=empty_set|~spl0_1026),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f65853,f28448])).
% 288.51/36.63 fof(f66366,plain,(
% 288.51/36.63 spl0_174|~spl0_1026),
% 288.51/36.63 inference(split_clause,[status(thm)],[f66365,f7949,f65852])).
% 288.51/36.63 fof(f66573,plain,(
% 288.51/36.63 subset(sk0_16(union(singleton(empty_set),singleton(empty_set)),empty_set),empty_set)|union(singleton(empty_set),singleton(empty_set))=empty_set|~spl0_167|~spl0_114),
% 288.51/36.63 inference(resolution,[status(thm)],[f66311,f5906])).
% 288.51/36.63 fof(f66574,plain,(
% 288.51/36.63 spl0_1029|spl0_1028|~spl0_167|~spl0_114),
% 288.51/36.63 inference(split_clause,[status(thm)],[f66573,f65898,f65895,f7695,f5919])).
% 288.51/36.63 fof(f66585,plain,(
% 288.51/36.63 subset(sk0_16(singleton(empty_set),empty_set),empty_set)|singleton(empty_set)=empty_set|~spl0_167|~spl0_114),
% 288.51/36.63 inference(resolution,[status(thm)],[f66311,f5158])).
% 288.51/36.63 fof(f66586,plain,(
% 288.51/36.63 spl0_151|spl0_66|~spl0_167|~spl0_114),
% 288.51/36.63 inference(split_clause,[status(thm)],[f66585,f7247,f3425,f7695,f5919])).
% 288.51/36.63 fof(f66597,plain,(
% 288.51/36.63 subset(sk0_21(singleton(empty_set),empty_set),empty_set)|pd0_0(singleton(empty_set),empty_set)|~spl0_167|~spl0_114),
% 288.51/36.63 inference(resolution,[status(thm)],[f66311,f5086])).
% 288.51/36.63 fof(f66598,plain,(
% 288.51/36.63 spl0_152|spl0_153|~spl0_167|~spl0_114),
% 288.51/36.63 inference(split_clause,[status(thm)],[f66597,f7253,f7256,f7695,f5919])).
% 288.51/36.63 fof(f66659,plain,(
% 288.51/36.63 spl0_1046 <=> singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|~member(product(sk0_17(singleton(X0),power_set(empty_set))),product(product(sk0_17(singleton(X1),power_set(empty_set)))))|singleton(X1)=empty_set|sk0_16(singleton(X1),power_set(empty_set))=X1),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f66662,plain,(
% 288.51/36.63 ![X0,X1,X2]: (singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|~member(product(sk0_17(singleton(X0),power_set(empty_set))),product(product(sk0_17(singleton(X1),power_set(empty_set)))))|subset(X2,empty_set)|singleton(X1)=empty_set|sk0_16(singleton(X1),power_set(empty_set))=X1|~spl0_231)),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f60842,f60869])).
% 288.51/36.63 fof(f66663,plain,(
% 288.51/36.63 spl0_1046|spl0_139|~spl0_231),
% 288.51/36.63 inference(split_clause,[status(thm)],[f66662,f66659,f6998,f12505])).
% 288.51/36.63 fof(f66782,plain,(
% 288.51/36.63 spl0_1048 <=> ~member(product(empty_set),union(X0,product(empty_set)))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f66783,plain,(
% 288.51/36.63 ![X0]: (~member(product(empty_set),union(X0,product(empty_set)))|~spl0_1048)),
% 288.51/36.63 inference(component_clause,[status(thm)],[f66782])).
% 288.51/36.63 fof(f66803,plain,(
% 288.51/36.63 $false|~spl0_1048),
% 288.51/36.63 inference(forward_subsumption_resolution,[status(thm)],[f66783,f14915])).
% 288.51/36.63 fof(f66804,plain,(
% 288.51/36.63 ~spl0_1048),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f66803])).
% 288.51/36.63 fof(f66816,plain,(
% 288.51/36.63 spl0_1050 <=> ~member(product(empty_set),union(product(empty_set),X0))),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f66817,plain,(
% 288.51/36.63 ![X0]: (~member(product(empty_set),union(product(empty_set),X0))|~spl0_1050)),
% 288.51/36.63 inference(component_clause,[status(thm)],[f66816])).
% 288.51/36.63 fof(f66837,plain,(
% 288.51/36.63 $false|~spl0_1050),
% 288.51/36.63 inference(forward_subsumption_resolution,[status(thm)],[f66817,f14917])).
% 288.51/36.63 fof(f66838,plain,(
% 288.51/36.63 ~spl0_1050),
% 288.51/36.63 inference(contradiction_clause,[status(thm)],[f66837])).
% 288.51/36.63 fof(f67422,plain,(
% 288.51/36.63 spl0_1056 <=> member(sk0_21(union(empty_set,empty_set),empty_set),empty_set)),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f67423,plain,(
% 288.51/36.63 member(sk0_21(union(empty_set,empty_set),empty_set),empty_set)|~spl0_1056),
% 288.51/36.63 inference(component_clause,[status(thm)],[f67422])).
% 288.51/36.63 fof(f67425,plain,(
% 288.51/36.63 spl0_1057 <=> pd0_0(union(empty_set,empty_set),empty_set)),
% 288.51/36.63 introduced(split_symbol_definition)).
% 288.51/36.63 fof(f67428,plain,(
% 288.51/36.63 member(sk0_21(empty_set,empty_set),empty_set)|member(sk0_21(union(empty_set,empty_set),empty_set),empty_set)|pd0_0(union(empty_set,empty_set),empty_set)),
% 288.51/36.63 inference(paramodulation,[status(thm)],[f11093,f5908])).
% 288.51/36.64 fof(f67429,plain,(
% 288.51/36.64 spl0_728|spl0_1056|spl0_1057),
% 288.51/36.64 inference(split_clause,[status(thm)],[f67428,f38840,f67422,f67425])).
% 288.51/36.64 fof(f67438,plain,(
% 288.51/36.64 member(sk0_21(empty_set,empty_set),empty_set)|~spl0_1056),
% 288.51/36.64 inference(forward_demodulation,[status(thm)],[f11093,f67423])).
% 288.51/36.64 fof(f67439,plain,(
% 288.51/36.64 member(empty_set,empty_set)|~spl0_804|~spl0_231|~spl0_1056),
% 288.51/36.64 inference(forward_demodulation,[status(thm)],[f49443,f67438])).
% 288.51/36.64 fof(f67440,plain,(
% 288.51/36.64 $false|~spl0_804|~spl0_231|~spl0_1056),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f67439,f48])).
% 288.51/36.64 fof(f67441,plain,(
% 288.51/36.64 ~spl0_804|~spl0_231|~spl0_1056),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f67440])).
% 288.51/36.64 fof(f69013,plain,(
% 288.51/36.64 spl0_1067 <=> member(sk0_20(empty_set,union(empty_set,empty_set)),empty_set)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f69014,plain,(
% 288.51/36.64 member(sk0_20(empty_set,union(empty_set,empty_set)),empty_set)|~spl0_1067),
% 288.51/36.64 inference(component_clause,[status(thm)],[f69013])).
% 288.51/36.64 fof(f69016,plain,(
% 288.51/36.64 spl0_1068 <=> pd0_0(empty_set,union(empty_set,empty_set))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f69019,plain,(
% 288.51/36.64 member(sk0_20(empty_set,empty_set),empty_set)|member(sk0_20(empty_set,union(empty_set,empty_set)),empty_set)|pd0_0(empty_set,union(empty_set,empty_set))),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f11093,f5911])).
% 288.51/36.64 fof(f69020,plain,(
% 288.51/36.64 spl0_780|spl0_1067|spl0_1068),
% 288.51/36.64 inference(split_clause,[status(thm)],[f69019,f47004,f69013,f69016])).
% 288.51/36.64 fof(f69029,plain,(
% 288.51/36.64 member(sk0_20(empty_set,empty_set),empty_set)|~spl0_1067),
% 288.51/36.64 inference(forward_demodulation,[status(thm)],[f11093,f69014])).
% 288.51/36.64 fof(f69030,plain,(
% 288.51/36.64 $false|~spl0_1067),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f69029,f48])).
% 288.51/36.64 fof(f69031,plain,(
% 288.51/36.64 ~spl0_1067),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f69030])).
% 288.51/36.64 fof(f72998,plain,(
% 288.51/36.64 product(empty_set)=unaryUnion(product(empty_set))|~spl0_167),
% 288.51/36.64 inference(resolution,[status(thm)],[f9195,f14912])).
% 288.51/36.64 fof(f73017,plain,(
% 288.51/36.64 product(empty_set)=unaryUnion(power_set(product(empty_set)))|~spl0_167),
% 288.51/36.64 inference(resolution,[status(thm)],[f9195,f14924])).
% 288.51/36.64 fof(f73018,plain,(
% 288.51/36.64 spl0_914|~spl0_167),
% 288.51/36.64 inference(split_clause,[status(thm)],[f73017,f64198,f7695])).
% 288.51/36.64 fof(f73080,plain,(
% 288.51/36.64 product(empty_set)=unaryUnion(sum(product(empty_set)))|~spl0_167),
% 288.51/36.64 inference(resolution,[status(thm)],[f9195,f21049])).
% 288.51/36.64 fof(f73081,plain,(
% 288.51/36.64 spl0_951|~spl0_167),
% 288.51/36.64 inference(split_clause,[status(thm)],[f73080,f64420,f7695])).
% 288.51/36.64 fof(f73093,plain,(
% 288.51/36.64 ![X0]: (product(empty_set)=unaryUnion(union(product(empty_set),X0))|~spl0_167)),
% 288.51/36.64 inference(resolution,[status(thm)],[f9195,f14917])).
% 288.51/36.64 fof(f73094,plain,(
% 288.51/36.64 spl0_958|~spl0_167),
% 288.51/36.64 inference(split_clause,[status(thm)],[f73093,f64460,f7695])).
% 288.51/36.64 fof(f73103,plain,(
% 288.51/36.64 ![X0]: (product(empty_set)=unaryUnion(union(X0,product(empty_set)))|~spl0_167)),
% 288.51/36.64 inference(resolution,[status(thm)],[f9195,f14915])).
% 288.51/36.64 fof(f73104,plain,(
% 288.51/36.64 spl0_964|~spl0_167),
% 288.51/36.64 inference(split_clause,[status(thm)],[f73103,f64494,f7695])).
% 288.51/36.64 fof(f73112,plain,(
% 288.51/36.64 ![X0]: (product(empty_set)=unaryUnion(unordered_pair(X0,product(empty_set)))|~spl0_167)),
% 288.51/36.64 inference(resolution,[status(thm)],[f9195,f181])).
% 288.51/36.64 fof(f73113,plain,(
% 288.51/36.64 ![X0]: (product(empty_set)=unaryUnion(unordered_pair(product(empty_set),X0))|~spl0_167)),
% 288.51/36.64 inference(resolution,[status(thm)],[f9195,f180])).
% 288.51/36.64 fof(f73114,plain,(
% 288.51/36.64 product(empty_set)=unaryUnion(singleton(product(empty_set)))|~spl0_167),
% 288.51/36.64 inference(resolution,[status(thm)],[f9195,f179])).
% 288.51/36.64 fof(f73438,plain,(
% 288.51/36.64 spl0_1078 <=> ~member(product(empty_set),unordered_pair(X0,product(empty_set)))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f73439,plain,(
% 288.51/36.64 ![X0]: (~member(product(empty_set),unordered_pair(X0,product(empty_set)))|~spl0_1078)),
% 288.51/36.64 inference(component_clause,[status(thm)],[f73438])).
% 288.51/36.64 fof(f73460,plain,(
% 288.51/36.64 $false|~spl0_1078),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f73439,f181])).
% 288.51/36.64 fof(f73461,plain,(
% 288.51/36.64 ~spl0_1078),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f73460])).
% 288.51/36.64 fof(f73527,plain,(
% 288.51/36.64 spl0_1080 <=> ~member(product(empty_set),unordered_pair(product(empty_set),X0))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f73528,plain,(
% 288.51/36.64 ![X0]: (~member(product(empty_set),unordered_pair(product(empty_set),X0))|~spl0_1080)),
% 288.51/36.64 inference(component_clause,[status(thm)],[f73527])).
% 288.51/36.64 fof(f73549,plain,(
% 288.51/36.64 $false|~spl0_1080),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f73528,f180])).
% 288.51/36.64 fof(f73550,plain,(
% 288.51/36.64 ~spl0_1080),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f73549])).
% 288.51/36.64 fof(f78965,plain,(
% 288.51/36.64 subset(singleton(empty_set),empty_set)|~spl0_374),
% 288.51/36.64 inference(resolution,[status(thm)],[f18713,f5401])).
% 288.51/36.64 fof(f78966,plain,(
% 288.51/36.64 $false|~spl0_114|spl0_886|~spl0_374),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f78965,f63567])).
% 288.51/36.64 fof(f78967,plain,(
% 288.51/36.64 ~spl0_114|spl0_886|~spl0_374),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f78966])).
% 288.51/36.64 fof(f79394,plain,(
% 288.51/36.64 spl0_1137 <=> member(sk0_16(singleton(empty_set),empty_set),power_set(empty_set))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f79396,plain,(
% 288.51/36.64 ~member(sk0_16(singleton(empty_set),empty_set),power_set(empty_set))|spl0_1137),
% 288.51/36.64 inference(component_clause,[status(thm)],[f79394])).
% 288.51/36.64 fof(f79422,plain,(
% 288.51/36.64 spl0_1139 <=> member(sk0_21(singleton(empty_set),empty_set),power_set(empty_set))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f79424,plain,(
% 288.51/36.64 ~member(sk0_21(singleton(empty_set),empty_set),power_set(empty_set))|spl0_1139),
% 288.51/36.64 inference(component_clause,[status(thm)],[f79422])).
% 288.51/36.64 fof(f79485,plain,(
% 288.51/36.64 ~member(empty_set,power_set(empty_set))|~spl0_431),
% 288.51/36.64 inference(resolution,[status(thm)],[f19814,f179])).
% 288.51/36.64 fof(f79486,plain,(
% 288.51/36.64 $false|~spl0_167|~spl0_431),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f79485,f31535])).
% 288.51/36.64 fof(f79487,plain,(
% 288.51/36.64 ~spl0_167|~spl0_431),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f79486])).
% 288.51/36.64 fof(f79491,plain,(
% 288.51/36.64 ~member(empty_set,power_set(empty_set))|~spl0_114|spl0_1139),
% 288.51/36.64 inference(forward_demodulation,[status(thm)],[f6455,f79424])).
% 288.51/36.64 fof(f79492,plain,(
% 288.51/36.64 $false|~spl0_167|~spl0_114|spl0_1139),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f79491,f31535])).
% 288.51/36.64 fof(f79493,plain,(
% 288.51/36.64 ~spl0_167|~spl0_114|spl0_1139),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f79492])).
% 288.51/36.64 fof(f79494,plain,(
% 288.51/36.64 ~member(empty_set,power_set(empty_set))|~spl0_167|spl0_1137),
% 288.51/36.64 inference(forward_demodulation,[status(thm)],[f7732,f79396])).
% 288.51/36.64 fof(f79495,plain,(
% 288.51/36.64 $false|~spl0_167|spl0_1137),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f79494,f31535])).
% 288.51/36.64 fof(f79496,plain,(
% 288.51/36.64 ~spl0_167|spl0_1137),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f79495])).
% 288.51/36.64 fof(f79657,plain,(
% 288.51/36.64 ~member(sk0_21(singleton(empty_set),empty_set),power_set(empty_set))|pd0_0(singleton(empty_set),empty_set)|~spl0_444),
% 288.51/36.64 inference(resolution,[status(thm)],[f20096,f5086])).
% 288.51/36.64 fof(f79658,plain,(
% 288.51/36.64 ~spl0_1139|spl0_153|~spl0_444),
% 288.51/36.64 inference(split_clause,[status(thm)],[f79657,f79422,f7256,f19957])).
% 288.51/36.64 fof(f81097,plain,(
% 288.51/36.64 power_set(empty_set)=power_set(empty_set)|empty_set=unaryUnion(singleton(power_set(empty_set)))|~spl0_453),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f5798,f20221])).
% 288.51/36.64 fof(f81098,plain,(
% 288.51/36.64 spl0_80|spl0_242|~spl0_453),
% 288.51/36.64 inference(split_clause,[status(thm)],[f81097,f4248,f13210,f20220])).
% 288.51/36.64 fof(f81103,plain,(
% 288.51/36.64 spl0_1142 <=> member(sk0_16(empty_set,singleton(power_set(empty_set))),power_set(empty_set))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f81106,plain,(
% 288.51/36.64 empty_set=unaryUnion(singleton(power_set(empty_set)))|member(sk0_16(empty_set,singleton(power_set(empty_set))),empty_set)|member(sk0_16(empty_set,singleton(power_set(empty_set))),power_set(empty_set))|~spl0_453),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f20221,f142])).
% 288.51/36.64 fof(f81107,plain,(
% 288.51/36.64 spl0_242|spl0_455|spl0_1142|~spl0_453),
% 288.51/36.64 inference(split_clause,[status(thm)],[f81106,f13210,f20230,f81103,f20220])).
% 288.51/36.64 fof(f81162,plain,(
% 288.51/36.64 ~member(empty_set,sk0_17(empty_set,singleton(power_set(empty_set))))|empty_set=unaryUnion(singleton(power_set(empty_set)))|~spl0_241|~spl0_454),
% 288.51/36.64 inference(resolution,[status(thm)],[f20246,f4550])).
% 288.51/36.64 fof(f81163,plain,(
% 288.51/36.64 ~spl0_456|spl0_242|~spl0_241|~spl0_454),
% 288.51/36.64 inference(split_clause,[status(thm)],[f81162,f20233,f13210,f13207,f20225])).
% 288.51/36.64 fof(f81241,plain,(
% 288.51/36.64 spl0_1150 <=> member(empty_set,sk0_21(singleton(power_set(empty_set)),empty_set))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f81243,plain,(
% 288.51/36.64 ~member(empty_set,sk0_21(singleton(power_set(empty_set)),empty_set))|spl0_1150),
% 288.51/36.64 inference(component_clause,[status(thm)],[f81241])).
% 288.51/36.64 fof(f81264,plain,(
% 288.51/36.64 spl0_1153 <=> member(empty_set,sk0_20(empty_set,singleton(power_set(empty_set))))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f81266,plain,(
% 288.51/36.64 ~member(empty_set,sk0_20(empty_set,singleton(power_set(empty_set))))|spl0_1153),
% 288.51/36.64 inference(component_clause,[status(thm)],[f81264])).
% 288.51/36.64 fof(f81309,plain,(
% 288.51/36.64 ~member(empty_set,power_set(empty_set))|~spl0_114|spl0_1153),
% 288.51/36.64 inference(forward_demodulation,[status(thm)],[f7038,f81266])).
% 288.51/36.64 fof(f81310,plain,(
% 288.51/36.64 $false|~spl0_167|~spl0_114|spl0_1153),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f81309,f31535])).
% 288.51/36.64 fof(f81311,plain,(
% 288.51/36.64 ~spl0_167|~spl0_114|spl0_1153),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f81310])).
% 288.51/36.64 fof(f81312,plain,(
% 288.51/36.64 ~member(empty_set,power_set(empty_set))|~spl0_114|spl0_1150),
% 288.51/36.64 inference(forward_demodulation,[status(thm)],[f6455,f81243])).
% 288.51/36.64 fof(f81313,plain,(
% 288.51/36.64 $false|~spl0_167|~spl0_114|spl0_1150),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f81312,f31535])).
% 288.51/36.64 fof(f81314,plain,(
% 288.51/36.64 ~spl0_167|~spl0_114|spl0_1150),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f81313])).
% 288.51/36.64 fof(f81606,plain,(
% 288.51/36.64 spl0_1176 <=> sk0_20(empty_set,singleton(product(sk0_17(singleton(X0),power_set(empty_set)))))=product(sk0_17(singleton(X0),power_set(empty_set)))|singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f81611,plain,(
% 288.51/36.64 ![X0,X1]: (sk0_20(empty_set,singleton(product(sk0_17(singleton(X0),power_set(empty_set)))))=product(sk0_17(singleton(X0),power_set(empty_set)))|singleton(X0)=empty_set|sk0_16(singleton(X0),power_set(empty_set))=X0|product(empty_set)=unaryUnion(power_set(X1))|~spl0_114|~spl0_231)),
% 288.51/36.64 inference(resolution,[status(thm)],[f7120,f60862])).
% 288.51/36.64 fof(f81612,plain,(
% 288.51/36.64 spl0_1176|spl0_895|~spl0_114|~spl0_231),
% 288.51/36.64 inference(split_clause,[status(thm)],[f81611,f81606,f64095,f5919,f12505])).
% 288.51/36.64 fof(f81678,plain,(
% 288.51/36.64 spl0_1177 <=> empty_set=unaryUnion(product(empty_set))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f81679,plain,(
% 288.51/36.64 empty_set=unaryUnion(product(empty_set))|~spl0_1177),
% 288.51/36.64 inference(component_clause,[status(thm)],[f81678])).
% 288.51/36.64 fof(f81699,plain,(
% 288.51/36.64 spl0_1180 <=> member(sk0_21(empty_set,singleton(product(empty_set))),empty_set)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f81700,plain,(
% 288.51/36.64 member(sk0_21(empty_set,singleton(product(empty_set))),empty_set)|~spl0_1180),
% 288.51/36.64 inference(component_clause,[status(thm)],[f81699])).
% 288.51/36.64 fof(f81708,plain,(
% 288.51/36.64 $false|~spl0_1180),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f81700,f48])).
% 288.51/36.64 fof(f81709,plain,(
% 288.51/36.64 ~spl0_1180),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f81708])).
% 288.51/36.64 fof(f81710,plain,(
% 288.51/36.64 empty_set=product(empty_set)|~spl0_896|~spl0_1177),
% 288.51/36.64 inference(forward_demodulation,[status(thm)],[f64103,f81679])).
% 288.51/36.64 fof(f81711,plain,(
% 288.51/36.64 $false|spl0_174|~spl0_896|~spl0_1177),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f81710,f7951])).
% 288.51/36.64 fof(f81712,plain,(
% 288.51/36.64 spl0_174|~spl0_896|~spl0_1177),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f81711])).
% 288.51/36.64 fof(f82323,plain,(
% 288.51/36.64 ![X0]: (sk0_20(empty_set,singleton(X0))=X0|sum(X0)=empty_set|~spl0_114)),
% 288.51/36.64 inference(resolution,[status(thm)],[f7034,f5158])).
% 288.51/36.64 fof(f82458,plain,(
% 288.51/36.64 spl0_1192 <=> sum(product(empty_set))=empty_set),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82459,plain,(
% 288.51/36.64 sum(product(empty_set))=empty_set|~spl0_1192),
% 288.51/36.64 inference(component_clause,[status(thm)],[f82458])).
% 288.51/36.64 fof(f82478,plain,(
% 288.51/36.64 ![X0]: (member(X0,unaryUnion(power_set(empty_set)))|~spl0_1192)),
% 288.51/36.64 inference(backward_demodulation,[status(thm)],[f82459,f39159])).
% 288.51/36.64 fof(f82479,plain,(
% 288.51/36.64 ![X0]: (member(X0,empty_set)|~spl0_231|~spl0_1192)),
% 288.51/36.64 inference(forward_demodulation,[status(thm)],[f12506,f82478])).
% 288.51/36.64 fof(f82480,plain,(
% 288.51/36.64 $false|~spl0_231|~spl0_1192),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f82479,f48])).
% 288.51/36.64 fof(f82481,plain,(
% 288.51/36.64 ~spl0_231|~spl0_1192),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f82480])).
% 288.51/36.64 fof(f82662,plain,(
% 288.51/36.64 ![X0,X1]: (sk0_20(empty_set,singleton(power_set(X0)))=power_set(X0)|member(X1,empty_set)|~spl0_114|~spl0_167)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f44674,f7033])).
% 288.51/36.64 fof(f82663,plain,(
% 288.51/36.64 spl0_708|spl0_137|~spl0_114|~spl0_167),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82662,f36523,f6985,f5919,f7695])).
% 288.51/36.64 fof(f82664,plain,(
% 288.51/36.64 spl0_1197 <=> sk0_20(empty_set,singleton(insertIntoMember(X0,power_set(X1),X2)))=insertIntoMember(X0,power_set(X1),X2)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82667,plain,(
% 288.51/36.64 ![X0,X1,X2,X3]: (sk0_20(empty_set,singleton(insertIntoMember(X0,power_set(X1),X2)))=insertIntoMember(X0,power_set(X1),X2)|member(X3,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f48890,f7033])).
% 288.51/36.64 fof(f82668,plain,(
% 288.51/36.64 spl0_1197|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82667,f82664,f6985,f5919])).
% 288.51/36.64 fof(f82669,plain,(
% 288.51/36.64 spl0_1198 <=> sk0_20(empty_set,singleton(insertIntoMember(X0,product(empty_set),X1)))=insertIntoMember(X0,product(empty_set),X1)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82672,plain,(
% 288.51/36.64 ![X0,X1,X2]: (sk0_20(empty_set,singleton(insertIntoMember(X0,product(empty_set),X1)))=insertIntoMember(X0,product(empty_set),X1)|member(X2,empty_set)|~spl0_114|~spl0_167)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f28406,f7033])).
% 288.51/36.64 fof(f82673,plain,(
% 288.51/36.64 spl0_1198|spl0_137|~spl0_114|~spl0_167),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82672,f82669,f6985,f5919,f7695])).
% 288.51/36.64 fof(f82674,plain,(
% 288.51/36.64 spl0_1199 <=> sk0_20(empty_set,singleton(unaryUnion(power_set(unordered_pair(empty_set,X0)))))=unaryUnion(power_set(unordered_pair(empty_set,X0)))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82677,plain,(
% 288.51/36.64 ![X0,X1]: (sk0_20(empty_set,singleton(unaryUnion(power_set(unordered_pair(empty_set,X0)))))=unaryUnion(power_set(unordered_pair(empty_set,X0)))|member(X1,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f40677,f7033])).
% 288.51/36.64 fof(f82678,plain,(
% 288.51/36.64 spl0_1199|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82677,f82674,f6985,f5919])).
% 288.51/36.64 fof(f82679,plain,(
% 288.51/36.64 spl0_1200 <=> sk0_20(empty_set,singleton(unaryUnion(power_set(unordered_pair(X0,empty_set)))))=unaryUnion(power_set(unordered_pair(X0,empty_set)))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82682,plain,(
% 288.51/36.64 ![X0,X1]: (sk0_20(empty_set,singleton(unaryUnion(power_set(unordered_pair(X0,empty_set)))))=unaryUnion(power_set(unordered_pair(X0,empty_set)))|member(X1,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f39188,f7033])).
% 288.51/36.64 fof(f82683,plain,(
% 288.51/36.64 spl0_1200|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82682,f82679,f6985,f5919])).
% 288.51/36.64 fof(f82684,plain,(
% 288.51/36.64 spl0_1201 <=> sk0_20(empty_set,singleton(unaryUnion(power_set(singleton(empty_set)))))=unaryUnion(power_set(singleton(empty_set)))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82687,plain,(
% 288.51/36.64 ![X0]: (sk0_20(empty_set,singleton(unaryUnion(power_set(singleton(empty_set)))))=unaryUnion(power_set(singleton(empty_set)))|member(X0,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f31866,f7033])).
% 288.51/36.64 fof(f82688,plain,(
% 288.51/36.64 spl0_1201|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82687,f82684,f6985,f5919])).
% 288.51/36.64 fof(f82689,plain,(
% 288.51/36.64 spl0_1202 <=> sk0_20(empty_set,singleton(unaryUnion(unordered_pair(singleton(empty_set),X0))))=unaryUnion(unordered_pair(singleton(empty_set),X0))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82692,plain,(
% 288.51/36.64 ![X0,X1]: (sk0_20(empty_set,singleton(unaryUnion(unordered_pair(singleton(empty_set),X0))))=unaryUnion(unordered_pair(singleton(empty_set),X0))|member(X1,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f31289,f7033])).
% 288.51/36.64 fof(f82693,plain,(
% 288.51/36.64 spl0_1202|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82692,f82689,f6985,f5919])).
% 288.51/36.64 fof(f82694,plain,(
% 288.51/36.64 spl0_1203 <=> sk0_20(empty_set,singleton(unaryUnion(unordered_pair(X0,singleton(empty_set)))))=unaryUnion(unordered_pair(X0,singleton(empty_set)))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82697,plain,(
% 288.51/36.64 ![X0,X1]: (sk0_20(empty_set,singleton(unaryUnion(unordered_pair(X0,singleton(empty_set)))))=unaryUnion(unordered_pair(X0,singleton(empty_set)))|member(X1,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f31264,f7033])).
% 288.51/36.64 fof(f82698,plain,(
% 288.51/36.64 spl0_1203|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82697,f82694,f6985,f5919])).
% 288.51/36.64 fof(f82699,plain,(
% 288.51/36.64 spl0_1204 <=> sk0_20(empty_set,singleton(unaryUnion(singleton(unordered_pair(empty_set,X0)))))=unaryUnion(singleton(unordered_pair(empty_set,X0)))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82702,plain,(
% 288.51/36.64 ![X0,X1]: (sk0_20(empty_set,singleton(unaryUnion(singleton(unordered_pair(empty_set,X0)))))=unaryUnion(singleton(unordered_pair(empty_set,X0)))|member(X1,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f39838,f7033])).
% 288.51/36.64 fof(f82703,plain,(
% 288.51/36.64 spl0_1204|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82702,f82699,f6985,f5919])).
% 288.51/36.64 fof(f82704,plain,(
% 288.51/36.64 spl0_1205 <=> sk0_20(empty_set,singleton(unaryUnion(singleton(unordered_pair(X0,empty_set)))))=unaryUnion(singleton(unordered_pair(X0,empty_set)))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82707,plain,(
% 288.51/36.64 ![X0,X1]: (sk0_20(empty_set,singleton(unaryUnion(singleton(unordered_pair(X0,empty_set)))))=unaryUnion(singleton(unordered_pair(X0,empty_set)))|member(X1,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f39220,f7033])).
% 288.51/36.64 fof(f82708,plain,(
% 288.51/36.64 spl0_1205|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82707,f82704,f6985,f5919])).
% 288.51/36.64 fof(f82709,plain,(
% 288.51/36.64 spl0_1206 <=> sk0_20(empty_set,singleton(unaryUnion(singleton(singleton(empty_set)))))=unaryUnion(singleton(singleton(empty_set)))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82712,plain,(
% 288.51/36.64 ![X0]: (sk0_20(empty_set,singleton(unaryUnion(singleton(singleton(empty_set)))))=unaryUnion(singleton(singleton(empty_set)))|member(X0,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f31151,f7033])).
% 288.51/36.64 fof(f82713,plain,(
% 288.51/36.64 spl0_1206|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82712,f82709,f6985,f5919])).
% 288.51/36.64 fof(f82714,plain,(
% 288.51/36.64 spl0_1207 <=> sk0_20(empty_set,singleton(union(union(power_set(X0),X1),X2)))=union(union(power_set(X0),X1),X2)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82717,plain,(
% 288.51/36.64 ![X0,X1,X2,X3]: (sk0_20(empty_set,singleton(union(union(power_set(X0),X1),X2)))=union(union(power_set(X0),X1),X2)|member(X3,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f38370,f7033])).
% 288.51/36.64 fof(f82718,plain,(
% 288.51/36.64 spl0_1207|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82717,f82714,f6985,f5919])).
% 288.51/36.64 fof(f82719,plain,(
% 288.51/36.64 spl0_1208 <=> sk0_20(empty_set,singleton(union(union(X0,power_set(X1)),X2)))=union(union(X0,power_set(X1)),X2)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82722,plain,(
% 288.51/36.64 ![X0,X1,X2,X3]: (sk0_20(empty_set,singleton(union(union(X0,power_set(X1)),X2)))=union(union(X0,power_set(X1)),X2)|member(X3,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f38378,f7033])).
% 288.51/36.64 fof(f82723,plain,(
% 288.51/36.64 spl0_1208|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82722,f82719,f6985,f5919])).
% 288.51/36.64 fof(f82724,plain,(
% 288.51/36.64 spl0_1209 <=> sk0_20(empty_set,singleton(union(power_set(X0),X1)))=union(power_set(X0),X1)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82727,plain,(
% 288.51/36.64 ![X0,X1,X2]: (sk0_20(empty_set,singleton(union(power_set(X0),X1)))=union(power_set(X0),X1)|member(X2,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f28448,f7033])).
% 288.51/36.64 fof(f82728,plain,(
% 288.51/36.64 spl0_1209|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82727,f82724,f6985,f5919])).
% 288.51/36.64 fof(f82729,plain,(
% 288.51/36.64 spl0_1210 <=> sk0_20(empty_set,singleton(union(unordered_pair(empty_set,X0),X1)))=union(unordered_pair(empty_set,X0),X1)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82732,plain,(
% 288.51/36.64 ![X0,X1,X2]: (sk0_20(empty_set,singleton(union(unordered_pair(empty_set,X0),X1)))=union(unordered_pair(empty_set,X0),X1)|member(X2,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f28443,f7033])).
% 288.51/36.64 fof(f82733,plain,(
% 288.51/36.64 spl0_1210|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82732,f82729,f6985,f5919])).
% 288.51/36.64 fof(f82734,plain,(
% 288.51/36.64 spl0_1211 <=> sk0_20(empty_set,singleton(union(unordered_pair(X0,empty_set),X1)))=union(unordered_pair(X0,empty_set),X1)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82737,plain,(
% 288.51/36.64 ![X0,X1,X2]: (sk0_20(empty_set,singleton(union(unordered_pair(X0,empty_set),X1)))=union(unordered_pair(X0,empty_set),X1)|member(X2,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f28444,f7033])).
% 288.51/36.64 fof(f82738,plain,(
% 288.51/36.64 spl0_1211|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82737,f82734,f6985,f5919])).
% 288.51/36.64 fof(f82739,plain,(
% 288.51/36.64 spl0_1212 <=> sk0_20(empty_set,singleton(union(singleton(empty_set),X0)))=union(singleton(empty_set),X0)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82742,plain,(
% 288.51/36.64 ![X0,X1]: (sk0_20(empty_set,singleton(union(singleton(empty_set),X0)))=union(singleton(empty_set),X0)|member(X1,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f28445,f7033])).
% 288.51/36.64 fof(f82743,plain,(
% 288.51/36.64 spl0_1212|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82742,f82739,f6985,f5919])).
% 288.51/36.64 fof(f82744,plain,(
% 288.51/36.64 spl0_1213 <=> sk0_20(empty_set,singleton(union(product(empty_set),X0)))=union(product(empty_set),X0)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82749,plain,(
% 288.51/36.64 spl0_1214 <=> sk0_20(empty_set,singleton(union(X0,union(power_set(X1),X2))))=union(X0,union(power_set(X1),X2))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82752,plain,(
% 288.51/36.64 ![X0,X1,X2,X3]: (sk0_20(empty_set,singleton(union(X0,union(power_set(X1),X2))))=union(X0,union(power_set(X1),X2))|member(X3,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f38270,f7033])).
% 288.51/36.64 fof(f82753,plain,(
% 288.51/36.64 spl0_1214|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82752,f82749,f6985,f5919])).
% 288.51/36.64 fof(f82754,plain,(
% 288.51/36.64 spl0_1215 <=> sk0_20(empty_set,singleton(union(X0,union(X1,power_set(X2)))))=union(X0,union(X1,power_set(X2)))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82757,plain,(
% 288.51/36.64 ![X0,X1,X2,X3]: (sk0_20(empty_set,singleton(union(X0,union(X1,power_set(X2)))))=union(X0,union(X1,power_set(X2)))|member(X3,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f38278,f7033])).
% 288.51/36.64 fof(f82758,plain,(
% 288.51/36.64 spl0_1215|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82757,f82754,f6985,f5919])).
% 288.51/36.64 fof(f82759,plain,(
% 288.51/36.64 spl0_1216 <=> sk0_20(empty_set,singleton(union(X0,power_set(X1))))=union(X0,power_set(X1))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82762,plain,(
% 288.51/36.64 ![X0,X1,X2]: (sk0_20(empty_set,singleton(union(X0,power_set(X1))))=union(X0,power_set(X1))|member(X2,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f28455,f7033])).
% 288.51/36.64 fof(f82763,plain,(
% 288.51/36.64 spl0_1216|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82762,f82759,f6985,f5919])).
% 288.51/36.64 fof(f82764,plain,(
% 288.51/36.64 spl0_1217 <=> sk0_20(empty_set,singleton(union(X0,unordered_pair(empty_set,X1))))=union(X0,unordered_pair(empty_set,X1))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82767,plain,(
% 288.51/36.64 ![X0,X1,X2]: (sk0_20(empty_set,singleton(union(X0,unordered_pair(empty_set,X1))))=union(X0,unordered_pair(empty_set,X1))|member(X2,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f28456,f7033])).
% 288.51/36.64 fof(f82768,plain,(
% 288.51/36.64 spl0_1217|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82767,f82764,f6985,f5919])).
% 288.51/36.64 fof(f82769,plain,(
% 288.51/36.64 spl0_1218 <=> sk0_20(empty_set,singleton(union(X0,unordered_pair(X1,empty_set))))=union(X0,unordered_pair(X1,empty_set))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82772,plain,(
% 288.51/36.64 ![X0,X1,X2]: (sk0_20(empty_set,singleton(union(X0,unordered_pair(X1,empty_set))))=union(X0,unordered_pair(X1,empty_set))|member(X2,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f28457,f7033])).
% 288.51/36.64 fof(f82773,plain,(
% 288.51/36.64 spl0_1218|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82772,f82769,f6985,f5919])).
% 288.51/36.64 fof(f82774,plain,(
% 288.51/36.64 spl0_1219 <=> sk0_20(empty_set,singleton(union(X0,singleton(empty_set))))=union(X0,singleton(empty_set))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82777,plain,(
% 288.51/36.64 ![X0,X1]: (sk0_20(empty_set,singleton(union(X0,singleton(empty_set))))=union(X0,singleton(empty_set))|member(X1,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f28458,f7033])).
% 288.51/36.64 fof(f82778,plain,(
% 288.51/36.64 spl0_1219|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82777,f82774,f6985,f5919])).
% 288.51/36.64 fof(f82779,plain,(
% 288.51/36.64 spl0_1220 <=> sk0_20(empty_set,singleton(union(X0,product(empty_set))))=union(X0,product(empty_set))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82784,plain,(
% 288.51/36.64 spl0_1221 <=> sk0_20(empty_set,singleton(sum(power_set(unordered_pair(empty_set,X0)))))=sum(power_set(unordered_pair(empty_set,X0)))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82787,plain,(
% 288.51/36.64 ![X0,X1]: (sk0_20(empty_set,singleton(sum(power_set(unordered_pair(empty_set,X0)))))=sum(power_set(unordered_pair(empty_set,X0)))|member(X1,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f28425,f7033])).
% 288.51/36.64 fof(f82788,plain,(
% 288.51/36.64 spl0_1221|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82787,f82784,f6985,f5919])).
% 288.51/36.64 fof(f82789,plain,(
% 288.51/36.64 spl0_1222 <=> sk0_20(empty_set,singleton(sum(power_set(unordered_pair(X0,empty_set)))))=sum(power_set(unordered_pair(X0,empty_set)))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82792,plain,(
% 288.51/36.64 ![X0,X1]: (sk0_20(empty_set,singleton(sum(power_set(unordered_pair(X0,empty_set)))))=sum(power_set(unordered_pair(X0,empty_set)))|member(X1,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f28426,f7033])).
% 288.51/36.64 fof(f82793,plain,(
% 288.51/36.64 spl0_1222|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82792,f82789,f6985,f5919])).
% 288.51/36.64 fof(f82794,plain,(
% 288.51/36.64 spl0_1223 <=> sk0_20(empty_set,singleton(sum(power_set(product(empty_set)))))=sum(power_set(product(empty_set)))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82797,plain,(
% 288.51/36.64 ![X0]: (sk0_20(empty_set,singleton(sum(power_set(product(empty_set)))))=sum(power_set(product(empty_set)))|member(X0,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f28431,f7033])).
% 288.51/36.64 fof(f82798,plain,(
% 288.51/36.64 spl0_1223|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82797,f82794,f6985,f5919])).
% 288.51/36.64 fof(f82799,plain,(
% 288.51/36.64 spl0_1224 <=> sk0_20(empty_set,singleton(sum(power_set(singleton(empty_set)))))=sum(power_set(singleton(empty_set)))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82802,plain,(
% 288.51/36.64 ![X0]: (sk0_20(empty_set,singleton(sum(power_set(singleton(empty_set)))))=sum(power_set(singleton(empty_set)))|member(X0,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f28432,f7033])).
% 288.51/36.64 fof(f82803,plain,(
% 288.51/36.64 spl0_1224|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82802,f82799,f6985,f5919])).
% 288.51/36.64 fof(f82804,plain,(
% 288.51/36.64 spl0_1225 <=> sk0_20(empty_set,singleton(sum(unordered_pair(singleton(empty_set),X0))))=sum(unordered_pair(singleton(empty_set),X0))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82807,plain,(
% 288.51/36.64 ![X0,X1]: (sk0_20(empty_set,singleton(sum(unordered_pair(singleton(empty_set),X0))))=sum(unordered_pair(singleton(empty_set),X0))|member(X1,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f28418,f7033])).
% 288.51/36.64 fof(f82808,plain,(
% 288.51/36.64 spl0_1225|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82807,f82804,f6985,f5919])).
% 288.51/36.64 fof(f82809,plain,(
% 288.51/36.64 spl0_1226 <=> sk0_20(empty_set,singleton(sum(unordered_pair(X0,singleton(empty_set)))))=sum(unordered_pair(X0,singleton(empty_set)))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82812,plain,(
% 288.51/36.64 ![X0,X1]: (sk0_20(empty_set,singleton(sum(unordered_pair(X0,singleton(empty_set)))))=sum(unordered_pair(X0,singleton(empty_set)))|member(X1,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f28421,f7033])).
% 288.51/36.64 fof(f82813,plain,(
% 288.51/36.64 spl0_1226|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82812,f82809,f6985,f5919])).
% 288.51/36.64 fof(f82814,plain,(
% 288.51/36.64 spl0_1227 <=> sk0_20(empty_set,singleton(sum(union(product(empty_set),X0))))=sum(union(product(empty_set),X0))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82817,plain,(
% 288.51/36.64 ![X0,X1]: (sk0_20(empty_set,singleton(sum(union(product(empty_set),X0))))=sum(union(product(empty_set),X0))|member(X1,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f28410,f7033])).
% 288.51/36.64 fof(f82818,plain,(
% 288.51/36.64 spl0_1227|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82817,f82814,f6985,f5919])).
% 288.51/36.64 fof(f82819,plain,(
% 288.51/36.64 spl0_1228 <=> sk0_20(empty_set,singleton(sum(union(X0,product(empty_set)))))=sum(union(X0,product(empty_set)))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82822,plain,(
% 288.51/36.64 ![X0,X1]: (sk0_20(empty_set,singleton(sum(union(X0,product(empty_set)))))=sum(union(X0,product(empty_set)))|member(X1,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f28412,f7033])).
% 288.51/36.64 fof(f82823,plain,(
% 288.51/36.64 spl0_1228|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82822,f82819,f6985,f5919])).
% 288.51/36.64 fof(f82824,plain,(
% 288.51/36.64 spl0_1229 <=> sk0_20(empty_set,singleton(sum(singleton(unordered_pair(empty_set,X0)))))=sum(singleton(unordered_pair(empty_set,X0)))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82827,plain,(
% 288.51/36.64 ![X0,X1]: (sk0_20(empty_set,singleton(sum(singleton(unordered_pair(empty_set,X0)))))=sum(singleton(unordered_pair(empty_set,X0)))|member(X1,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f28422,f7033])).
% 288.51/36.64 fof(f82828,plain,(
% 288.51/36.64 spl0_1229|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82827,f82824,f6985,f5919])).
% 288.51/36.64 fof(f82829,plain,(
% 288.51/36.64 spl0_1230 <=> sk0_20(empty_set,singleton(sum(singleton(unordered_pair(X0,empty_set)))))=sum(singleton(unordered_pair(X0,empty_set)))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82832,plain,(
% 288.51/36.64 ![X0,X1]: (sk0_20(empty_set,singleton(sum(singleton(unordered_pair(X0,empty_set)))))=sum(singleton(unordered_pair(X0,empty_set)))|member(X1,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f28423,f7033])).
% 288.51/36.64 fof(f82833,plain,(
% 288.51/36.64 spl0_1230|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82832,f82829,f6985,f5919])).
% 288.51/36.64 fof(f82834,plain,(
% 288.51/36.64 spl0_1231 <=> sk0_20(empty_set,singleton(sum(singleton(singleton(empty_set)))))=sum(singleton(singleton(empty_set)))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82837,plain,(
% 288.51/36.64 ![X0]: (sk0_20(empty_set,singleton(sum(singleton(singleton(empty_set)))))=sum(singleton(singleton(empty_set)))|member(X0,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f28424,f7033])).
% 288.51/36.64 fof(f82838,plain,(
% 288.51/36.64 spl0_1231|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82837,f82834,f6985,f5919])).
% 288.51/36.64 fof(f82839,plain,(
% 288.51/36.64 spl0_1232 <=> sk0_20(empty_set,singleton(unordered_pair(empty_set,X0)))=unordered_pair(empty_set,X0)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82842,plain,(
% 288.51/36.64 ![X0,X1]: (sk0_20(empty_set,singleton(unordered_pair(empty_set,X0)))=unordered_pair(empty_set,X0)|member(X1,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f28462,f7033])).
% 288.51/36.64 fof(f82843,plain,(
% 288.51/36.64 spl0_1232|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82842,f82839,f6985,f5919])).
% 288.51/36.64 fof(f82844,plain,(
% 288.51/36.64 spl0_1233 <=> sk0_20(empty_set,singleton(unordered_pair(X0,empty_set)))=unordered_pair(X0,empty_set)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82847,plain,(
% 288.51/36.64 ![X0,X1]: (sk0_20(empty_set,singleton(unordered_pair(X0,empty_set)))=unordered_pair(X0,empty_set)|member(X1,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f28461,f7033])).
% 288.51/36.64 fof(f82848,plain,(
% 288.51/36.64 spl0_1233|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82847,f82844,f6985,f5919])).
% 288.51/36.64 fof(f82849,plain,(
% 288.51/36.64 spl0_1234 <=> sk0_20(empty_set,singleton(singleton(empty_set)))=singleton(empty_set)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f82852,plain,(
% 288.51/36.64 ![X0]: (sk0_20(empty_set,singleton(singleton(empty_set)))=singleton(empty_set)|member(X0,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f28481,f7033])).
% 288.51/36.64 fof(f82853,plain,(
% 288.51/36.64 spl0_1234|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f82852,f82849,f6985,f5919])).
% 288.51/36.64 fof(f83030,plain,(
% 288.51/36.64 spl0_1235 <=> sk0_20(empty_set,singleton(sum(product(empty_set))))=sum(product(empty_set))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f83033,plain,(
% 288.51/36.64 ![X0]: (sk0_20(empty_set,singleton(sum(product(empty_set))))=sum(product(empty_set))|~member(X0,product(empty_set))|~spl0_114|~spl0_951)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f64421,f7025])).
% 288.51/36.64 fof(f83034,plain,(
% 288.51/36.64 spl0_1235|spl0_219|~spl0_114|~spl0_951),
% 288.51/36.64 inference(split_clause,[status(thm)],[f83033,f83030,f10408,f5919,f64420])).
% 288.51/36.64 fof(f83035,plain,(
% 288.51/36.64 ![X0,X1]: (sk0_20(empty_set,singleton(union(product(empty_set),X0)))=union(product(empty_set),X0)|~member(X1,product(empty_set))|~spl0_114|~spl0_958)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f64461,f7025])).
% 288.51/36.64 fof(f83036,plain,(
% 288.51/36.64 spl0_1213|spl0_219|~spl0_114|~spl0_958),
% 288.51/36.64 inference(split_clause,[status(thm)],[f83035,f82744,f10408,f5919,f64460])).
% 288.51/36.64 fof(f83037,plain,(
% 288.51/36.64 ![X0,X1]: (sk0_20(empty_set,singleton(union(X0,product(empty_set))))=union(X0,product(empty_set))|~member(X1,product(empty_set))|~spl0_114|~spl0_964)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f64495,f7025])).
% 288.51/36.64 fof(f83038,plain,(
% 288.51/36.64 spl0_1220|spl0_219|~spl0_114|~spl0_964),
% 288.51/36.64 inference(split_clause,[status(thm)],[f83037,f82779,f10408,f5919,f64494])).
% 288.51/36.64 fof(f83039,plain,(
% 288.51/36.64 spl0_1236 <=> sk0_20(empty_set,singleton(unordered_pair(product(empty_set),X0)))=unordered_pair(product(empty_set),X0)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f83042,plain,(
% 288.51/36.64 ![X0,X1]: (sk0_20(empty_set,singleton(unordered_pair(product(empty_set),X0)))=unordered_pair(product(empty_set),X0)|~member(X1,product(empty_set))|~spl0_114|~spl0_167)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f73113,f7025])).
% 288.51/36.64 fof(f83043,plain,(
% 288.51/36.64 spl0_1236|spl0_219|~spl0_114|~spl0_167),
% 288.51/36.64 inference(split_clause,[status(thm)],[f83042,f83039,f10408,f5919,f7695])).
% 288.51/36.64 fof(f83044,plain,(
% 288.51/36.64 spl0_1237 <=> sk0_20(empty_set,singleton(unordered_pair(X0,product(empty_set))))=unordered_pair(X0,product(empty_set))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f83047,plain,(
% 288.51/36.64 ![X0,X1]: (sk0_20(empty_set,singleton(unordered_pair(X0,product(empty_set))))=unordered_pair(X0,product(empty_set))|~member(X1,product(empty_set))|~spl0_114|~spl0_167)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f73112,f7025])).
% 288.51/36.64 fof(f83048,plain,(
% 288.51/36.64 spl0_1237|spl0_219|~spl0_114|~spl0_167),
% 288.51/36.64 inference(split_clause,[status(thm)],[f83047,f83044,f10408,f5919,f7695])).
% 288.51/36.64 fof(f83068,plain,(
% 288.51/36.64 spl0_1239 <=> sk0_20(empty_set,singleton(singleton(product(empty_set))))=singleton(product(empty_set))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f83071,plain,(
% 288.51/36.64 ![X0]: (sk0_20(empty_set,singleton(singleton(product(empty_set))))=singleton(product(empty_set))|~member(X0,product(empty_set))|~spl0_114|~spl0_167)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f73114,f7025])).
% 288.51/36.64 fof(f83072,plain,(
% 288.51/36.64 spl0_1239|spl0_219|~spl0_114|~spl0_167),
% 288.51/36.64 inference(split_clause,[status(thm)],[f83071,f83068,f10408,f5919,f7695])).
% 288.51/36.64 fof(f84087,plain,(
% 288.51/36.64 spl0_1242 <=> sk0_20(empty_set,singleton(sum(sum(product(empty_set)))))=sum(sum(product(empty_set)))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f84090,plain,(
% 288.51/36.64 ![X0]: (sk0_20(empty_set,singleton(sum(sum(product(empty_set)))))=sum(sum(product(empty_set)))|member(X0,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f28415,f7033])).
% 288.51/36.64 fof(f84091,plain,(
% 288.51/36.64 spl0_1242|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f84090,f84087,f6985,f5919])).
% 288.51/36.64 fof(f86966,plain,(
% 288.51/36.64 spl0_1252 <=> sk0_20(empty_set,singleton(union(X0,sum(product(empty_set)))))=union(X0,sum(product(empty_set)))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f86969,plain,(
% 288.51/36.64 ![X0,X1]: (sk0_20(empty_set,singleton(union(X0,sum(product(empty_set)))))=union(X0,sum(product(empty_set)))|member(X1,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f28449,f7033])).
% 288.51/36.64 fof(f86970,plain,(
% 288.51/36.64 spl0_1252|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f86969,f86966,f6985,f5919])).
% 288.51/36.64 fof(f87015,plain,(
% 288.51/36.64 spl0_1253 <=> sk0_20(empty_set,singleton(union(sum(product(empty_set)),X0)))=union(sum(product(empty_set)),X0)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f87018,plain,(
% 288.51/36.64 ![X0,X1]: (sk0_20(empty_set,singleton(union(sum(product(empty_set)),X0)))=union(sum(product(empty_set)),X0)|member(X1,empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f28439,f7033])).
% 288.51/36.64 fof(f87019,plain,(
% 288.51/36.64 spl0_1253|spl0_137|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f87018,f87015,f6985,f5919])).
% 288.51/36.64 fof(f88310,plain,(
% 288.51/36.64 spl0_1288 <=> sk0_0(empty_set,singleton(X0))=X0),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f88566,plain,(
% 288.51/36.64 spl0_1305 <=> pd0_0(difference(product(empty_set),X0),empty_set)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f88567,plain,(
% 288.51/36.64 ![X0]: (pd0_0(difference(product(empty_set),X0),empty_set)|~spl0_1305)),
% 288.51/36.64 inference(component_clause,[status(thm)],[f88566])).
% 288.51/36.64 fof(f88664,plain,(
% 288.51/36.64 ![X0,X1]: (~member(X0,difference(product(empty_set),X1))|member(sk0_19(X0,difference(product(empty_set),X1),empty_set),empty_set)|~spl0_1305)),
% 288.51/36.64 inference(resolution,[status(thm)],[f88567,f152])).
% 288.51/36.64 fof(f88665,plain,(
% 288.51/36.64 ![X0,X1]: (~member(X0,difference(product(empty_set),X1))|~spl0_1305)),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f88664,f48])).
% 288.51/36.64 fof(f89614,plain,(
% 288.51/36.64 ![X0,X1]: (~member(X0,product(empty_set))|member(X0,X1)|~spl0_1305)),
% 288.51/36.64 inference(resolution,[status(thm)],[f88665,f53])).
% 288.51/36.64 fof(f89615,plain,(
% 288.51/36.64 ![X0,X1]: (member(X0,X1)|~spl0_1305)),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f89614,f14912])).
% 288.51/36.64 fof(f89646,plain,(
% 288.51/36.64 spl0_1309 <=> subset(X1,sum(X2))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f89647,plain,(
% 288.51/36.64 ![X0,X1]: (subset(X0,sum(X1))|~spl0_1309)),
% 288.51/36.64 inference(component_clause,[status(thm)],[f89646])).
% 288.51/36.64 fof(f89651,plain,(
% 288.51/36.64 spl0_1310 <=> subset(X1,unaryUnion(X2))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f89652,plain,(
% 288.51/36.64 ![X0,X1]: (subset(X0,unaryUnion(X1))|~spl0_1310)),
% 288.51/36.64 inference(component_clause,[status(thm)],[f89651])).
% 288.51/36.64 fof(f89676,plain,(
% 288.51/36.64 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|~spl0_1305)),
% 288.51/36.64 inference(backward_subsumption_resolution,[status(thm)],[f14069,f89615])).
% 288.51/36.64 fof(f89677,plain,(
% 288.51/36.64 $false|~spl0_1305),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f89676,f89615])).
% 288.51/36.64 fof(f89678,plain,(
% 288.51/36.64 ~spl0_1305),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f89677])).
% 288.51/36.64 fof(f89703,plain,(
% 288.51/36.64 ![X0]: (subset(X0,empty_set)|~spl0_1310)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f4886,f89652])).
% 288.51/36.64 fof(f89704,plain,(
% 288.51/36.64 spl0_139|~spl0_1310),
% 288.51/36.64 inference(split_clause,[status(thm)],[f89703,f6998,f89651])).
% 288.51/36.64 fof(f89719,plain,(
% 288.51/36.64 ![X0]: (subset(X0,empty_set)|~spl0_1309)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f5167,f89647])).
% 288.51/36.64 fof(f89720,plain,(
% 288.51/36.64 spl0_139|~spl0_1309),
% 288.51/36.64 inference(split_clause,[status(thm)],[f89719,f6998,f89646])).
% 288.51/36.64 fof(f89782,plain,(
% 288.51/36.64 ![X0]: (~member(X0,empty_set)|~spl0_231|~spl0_167)),
% 288.51/36.64 inference(resolution,[status(thm)],[f13102,f31535])).
% 288.51/36.64 fof(f89864,plain,(
% 288.51/36.64 spl0_1311 <=> ~subset(X0,empty_set)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f89865,plain,(
% 288.51/36.64 ![X0]: (~subset(X0,empty_set)|~spl0_1311)),
% 288.51/36.64 inference(component_clause,[status(thm)],[f89864])).
% 288.51/36.64 fof(f89872,plain,(
% 288.51/36.64 spl0_1312 <=> ~subset(power_set(X0),empty_set)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f89905,plain,(
% 288.51/36.64 ![X0,X1]: (member(X0,power_set(X1))|~subset(product(empty_set),X1))),
% 288.51/36.64 inference(resolution,[status(thm)],[f2779,f38886])).
% 288.51/36.64 fof(f89943,plain,(
% 288.51/36.64 ![X0,X1]: (~member(X0,X1)|~partition(empty_set,X1)|~spl0_231|~spl0_167)),
% 288.51/36.64 inference(resolution,[status(thm)],[f5072,f89782])).
% 288.51/36.64 fof(f89945,plain,(
% 288.51/36.64 ![X0,X1,X2]: (~member(X0,X1)|~partition(X2,X1)|~subset(X2,empty_set))),
% 288.51/36.64 inference(resolution,[status(thm)],[f5072,f5018])).
% 288.51/36.64 fof(f90023,plain,(
% 288.51/36.64 ![X0]: (empty_set=unaryUnion(singleton(X0))|member(sk0_16(empty_set,singleton(X0)),empty_set)|member(sk0_16(empty_set,singleton(X0)),X0)|empty_set=unaryUnion(singleton(X0)))),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f5798,f142])).
% 288.51/36.64 fof(f90024,plain,(
% 288.51/36.64 ![X0]: (empty_set=unaryUnion(singleton(X0))|member(sk0_16(empty_set,singleton(X0)),empty_set)|member(sk0_16(empty_set,singleton(X0)),X0))),
% 288.51/36.64 inference(duplicate_literals_removal,[status(esa)],[f90023])).
% 288.51/36.64 fof(f90025,plain,(
% 288.51/36.64 ![X0]: (empty_set=unaryUnion(singleton(X0))|member(sk0_16(empty_set,singleton(X0)),X0)|~spl0_231|~spl0_167)),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f90024,f89782])).
% 288.51/36.64 fof(f90049,plain,(
% 288.51/36.64 $false|~spl0_1311),
% 288.51/36.64 inference(resolution,[status(thm)],[f89865,f28493])).
% 288.51/36.64 fof(f90050,plain,(
% 288.51/36.64 ~spl0_1311),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f90049])).
% 288.51/36.64 fof(f90133,plain,(
% 288.51/36.64 subset(sk0_16(empty_set,singleton(singleton(empty_set))),empty_set)|empty_set=unaryUnion(singleton(singleton(empty_set)))|~spl0_114|~spl0_231|~spl0_167),
% 288.51/36.64 inference(resolution,[status(thm)],[f66311,f90025])).
% 288.51/36.64 fof(f90134,plain,(
% 288.51/36.64 spl0_186|spl0_184|~spl0_114|~spl0_231|~spl0_167),
% 288.51/36.64 inference(split_clause,[status(thm)],[f90133,f8600,f8592,f5919,f12505,f7695])).
% 288.51/36.64 fof(f90527,plain,(
% 288.51/36.64 ![X0]: (subset(product(X0),sk0_16(empty_set,singleton(X0)))|empty_set=unaryUnion(singleton(X0))|~spl0_231|~spl0_167)),
% 288.51/36.64 inference(resolution,[status(thm)],[f26650,f90025])).
% 288.51/36.64 fof(f90584,plain,(
% 288.51/36.64 ![X0]: (subset(product(singleton(X0)),X0))),
% 288.51/36.64 inference(resolution,[status(thm)],[f26650,f179])).
% 288.51/36.64 fof(f90626,plain,(
% 288.51/36.64 ![X0]: (subset(sk0_16(empty_set,singleton(power_set(X0))),X0)|empty_set=unaryUnion(singleton(power_set(X0)))|~spl0_231|~spl0_167)),
% 288.51/36.64 inference(resolution,[status(thm)],[f36,f90025])).
% 288.51/36.64 fof(f90693,plain,(
% 288.51/36.64 ![X0,X1]: (~subset(product(empty_set),singleton(empty_set))|~member(X0,X1)|~spl0_150)),
% 288.51/36.64 inference(resolution,[status(thm)],[f2778,f7645])).
% 288.51/36.64 fof(f90694,plain,(
% 288.51/36.64 ~spl0_650|spl0_27|~spl0_150),
% 288.51/36.64 inference(split_clause,[status(thm)],[f90693,f29498,f2359,f7241])).
% 288.51/36.64 fof(f90696,plain,(
% 288.51/36.64 ![X0,X1]: (~subset(product(empty_set),power_set(empty_set))|~member(X0,X1)|~spl0_231)),
% 288.51/36.64 inference(resolution,[status(thm)],[f2778,f13102])).
% 288.51/36.64 fof(f90697,plain,(
% 288.51/36.64 ~spl0_649|spl0_27|~spl0_231),
% 288.51/36.64 inference(split_clause,[status(thm)],[f90696,f29492,f2359,f12505])).
% 288.51/36.64 fof(f90703,plain,(
% 288.51/36.64 ![X0]: (member(sk0_16(empty_set,singleton(union(X0,X0))),X0)|empty_set=unaryUnion(singleton(union(X0,X0)))|~spl0_231|~spl0_167)),
% 288.51/36.64 inference(resolution,[status(thm)],[f11206,f90025])).
% 288.51/36.64 fof(f90727,plain,(
% 288.51/36.64 ![X0,X1]: (partition(singleton(X0),X1)|~pd0_0(X1,singleton(X0))|sk0_4(X1,singleton(X0))=X0)),
% 288.51/36.64 inference(resolution,[status(thm)],[f91,f56])).
% 288.51/36.64 fof(f90728,plain,(
% 288.51/36.64 ![X0]: (partition(empty_set,X0)|~pd0_0(X0,empty_set)|~spl0_231|~spl0_167)),
% 288.51/36.64 inference(resolution,[status(thm)],[f91,f89782])).
% 288.51/36.64 fof(f90744,plain,(
% 288.51/36.64 ![X0,X1]: (partition(singleton(X0),X1)|~pd0_0(X1,singleton(X0))|sk0_5(X1,singleton(X0))=X0)),
% 288.51/36.64 inference(resolution,[status(thm)],[f92,f56])).
% 288.51/36.64 fof(f91296,plain,(
% 288.51/36.64 ![X0,X1]: (member(sk0_16(empty_set,singleton(difference(X0,X1))),X0)|empty_set=unaryUnion(singleton(difference(X0,X1)))|~spl0_231|~spl0_167)),
% 288.51/36.64 inference(resolution,[status(thm)],[f51,f90025])).
% 288.51/36.64 fof(f91314,plain,(
% 288.51/36.64 ![X0,X1]: (member(sk0_16(empty_set,singleton(intersection(X0,X1))),X1)|empty_set=unaryUnion(singleton(intersection(X0,X1)))|~spl0_231|~spl0_167)),
% 288.51/36.64 inference(resolution,[status(thm)],[f41,f90025])).
% 288.51/36.64 fof(f91332,plain,(
% 288.51/36.64 ![X0,X1]: (member(sk0_16(empty_set,singleton(intersection(X0,X1))),X0)|empty_set=unaryUnion(singleton(intersection(X0,X1)))|~spl0_231|~spl0_167)),
% 288.51/36.64 inference(resolution,[status(thm)],[f40,f90025])).
% 288.51/36.64 fof(f91383,plain,(
% 288.51/36.64 ![X0,X1]: (disjoint(X0,X1)|subset(product(X1),sk0_3(X1,X0)))),
% 288.51/36.64 inference(resolution,[status(thm)],[f82,f26650])).
% 288.51/36.64 fof(f91456,plain,(
% 288.51/36.64 ![X0,X1]: (disjoint(X0,X1)|subset(product(X0),sk0_3(X1,X0)))),
% 288.51/36.64 inference(resolution,[status(thm)],[f81,f26650])).
% 288.51/36.64 fof(f91707,plain,(
% 288.51/36.64 spl0_1331 <=> ~member(product(empty_set),difference(product(empty_set),X0))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f91708,plain,(
% 288.51/36.64 ![X0]: (~member(product(empty_set),difference(product(empty_set),X0))|~spl0_1331)),
% 288.51/36.64 inference(component_clause,[status(thm)],[f91707])).
% 288.51/36.64 fof(f91732,plain,(
% 288.51/36.64 spl0_1332 <=> subset(product(empty_set),sum(product(empty_set)))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f91734,plain,(
% 288.51/36.64 ~subset(product(empty_set),sum(product(empty_set)))|spl0_1332),
% 288.51/36.64 inference(component_clause,[status(thm)],[f91732])).
% 288.51/36.64 fof(f91737,plain,(
% 288.51/36.64 spl0_1333 <=> ~subset(product(empty_set),union(product(empty_set),X0))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f91738,plain,(
% 288.51/36.64 ![X0]: (~subset(product(empty_set),union(product(empty_set),X0))|~spl0_1333)),
% 288.51/36.64 inference(component_clause,[status(thm)],[f91737])).
% 288.51/36.64 fof(f91742,plain,(
% 288.51/36.64 spl0_1334 <=> ~subset(product(empty_set),union(X0,product(empty_set)))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f91743,plain,(
% 288.51/36.64 ![X0]: (~subset(product(empty_set),union(X0,product(empty_set)))|~spl0_1334)),
% 288.51/36.64 inference(component_clause,[status(thm)],[f91742])).
% 288.51/36.64 fof(f91757,plain,(
% 288.51/36.64 spl0_1337 <=> subset(product(empty_set),product(empty_set))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f91759,plain,(
% 288.51/36.64 ~subset(product(empty_set),product(empty_set))|spl0_1337),
% 288.51/36.64 inference(component_clause,[status(thm)],[f91757])).
% 288.51/36.64 fof(f91762,plain,(
% 288.51/36.64 spl0_1338 <=> subset(product(empty_set),power_set(product(empty_set)))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f91764,plain,(
% 288.51/36.64 ~subset(product(empty_set),power_set(product(empty_set)))|spl0_1338),
% 288.51/36.64 inference(component_clause,[status(thm)],[f91762])).
% 288.51/36.64 fof(f91803,plain,(
% 288.51/36.64 $false|spl0_1338),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f91764,f2184])).
% 288.51/36.64 fof(f91804,plain,(
% 288.51/36.64 spl0_1338),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f91803])).
% 288.51/36.64 fof(f91805,plain,(
% 288.51/36.64 $false|spl0_1337),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f91759,f14927])).
% 288.51/36.64 fof(f91806,plain,(
% 288.51/36.64 spl0_1337),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f91805])).
% 288.51/36.64 fof(f91807,plain,(
% 288.51/36.64 $false|spl0_1332),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f91734,f21073])).
% 288.51/36.64 fof(f91808,plain,(
% 288.51/36.64 spl0_1332),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f91807])).
% 288.51/36.64 fof(f91809,plain,(
% 288.51/36.64 $false|~spl0_1334),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f91743,f14916])).
% 288.51/36.64 fof(f91810,plain,(
% 288.51/36.64 ~spl0_1334),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f91809])).
% 288.51/36.64 fof(f91811,plain,(
% 288.51/36.64 $false|~spl0_1333),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f91738,f14918])).
% 288.51/36.64 fof(f91812,plain,(
% 288.51/36.64 ~spl0_1333),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f91811])).
% 288.51/36.64 fof(f92063,plain,(
% 288.51/36.64 spl0_896|~spl0_167),
% 288.51/36.64 inference(split_clause,[status(thm)],[f72998,f64102,f7695])).
% 288.51/36.64 fof(f92536,plain,(
% 288.51/36.64 ![X0]: (sk0_3(X0,singleton(sk0_16(empty_set,singleton(X0))))=sk0_16(empty_set,singleton(X0))|empty_set=unaryUnion(singleton(X0))|~spl0_231|~spl0_167)),
% 288.51/36.64 inference(resolution,[status(thm)],[f1031,f90025])).
% 288.51/36.64 fof(f92659,plain,(
% 288.51/36.64 ![X0,X1]: (~member(sk0_16(empty_set,singleton(difference(X0,X1))),X1)|empty_set=unaryUnion(singleton(difference(X0,X1)))|~spl0_231|~spl0_167)),
% 288.51/36.64 inference(resolution,[status(thm)],[f52,f90025])).
% 288.51/36.64 fof(f92749,plain,(
% 288.51/36.64 ![X0]: (sk0_3(singleton(sk0_16(empty_set,singleton(X0))),X0)=sk0_16(empty_set,singleton(X0))|empty_set=unaryUnion(singleton(X0))|~spl0_231|~spl0_167)),
% 288.51/36.64 inference(resolution,[status(thm)],[f1146,f90025])).
% 288.51/36.64 fof(f93338,plain,(
% 288.51/36.64 ![X0,X1]: (pd0_0(X0,singleton(X1))|~member(sk0_21(X0,singleton(X1)),sk0_21(singleton(X1),empty_set))|sk0_20(X0,singleton(X1))=X1|pd0_0(singleton(X1),empty_set))),
% 288.51/36.64 inference(resolution,[status(thm)],[f5229,f5086])).
% 288.51/36.64 fof(f93339,plain,(
% 288.51/36.64 ![X0,X1]: (pd0_0(X0,singleton(X1))|~member(sk0_21(X0,singleton(X1)),X1)|sk0_20(X0,singleton(X1))=X1|pd0_0(singleton(X1),empty_set)|~spl0_114)),
% 288.51/36.64 inference(forward_demodulation,[status(thm)],[f6455,f93338])).
% 288.51/36.64 fof(f93344,plain,(
% 288.51/36.64 ![X0,X1]: (pd0_0(X0,singleton(X1))|~member(sk0_21(X0,singleton(X1)),sk0_16(empty_set,singleton(singleton(X1))))|sk0_20(X0,singleton(X1))=X1|empty_set=unaryUnion(singleton(singleton(X1)))|~spl0_231|~spl0_167)),
% 288.51/36.64 inference(resolution,[status(thm)],[f5229,f90025])).
% 288.51/36.64 fof(f93445,plain,(
% 288.51/36.64 ![X0,X1,X2]: (member(sk0_16(empty_set,singleton(equivalence_class(X0,X1,X2))),X1)|empty_set=unaryUnion(singleton(equivalence_class(X0,X1,X2)))|~spl0_231|~spl0_167)),
% 288.51/36.64 inference(resolution,[status(thm)],[f112,f90025])).
% 288.51/36.64 fof(f93708,plain,(
% 288.51/36.64 ![X0,X1]: (~pd0_0(X0,empty_set)|~member(X1,X0)|~spl0_231|~spl0_167)),
% 288.51/36.64 inference(resolution,[status(thm)],[f152,f89782])).
% 288.51/36.64 fof(f93772,plain,(
% 288.51/36.64 spl0_1361 <=> ~member(singleton(X0),X1)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f93773,plain,(
% 288.51/36.64 ![X0,X1]: (~member(singleton(X0),X1)|~spl0_1361)),
% 288.51/36.64 inference(component_clause,[status(thm)],[f93772])).
% 288.51/36.64 fof(f93783,plain,(
% 288.51/36.64 $false|~spl0_1361),
% 288.51/36.64 inference(resolution,[status(thm)],[f93773,f180])).
% 288.51/36.64 fof(f93784,plain,(
% 288.51/36.64 ~spl0_1361),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f93783])).
% 288.51/36.64 fof(f93785,plain,(
% 288.51/36.64 ![X0]: (pd0_0(X0,singleton(X0))|sk0_20(X0,singleton(X0))=X0|pd0_0(singleton(X0),empty_set)|pd0_0(X0,singleton(X0))|sk0_20(X0,singleton(X0))=X0|~spl0_114)),
% 288.51/36.64 inference(resolution,[status(thm)],[f93339,f5081])).
% 288.51/36.64 fof(f93786,plain,(
% 288.51/36.64 ![X0]: (pd0_0(X0,singleton(X0))|sk0_20(X0,singleton(X0))=X0|pd0_0(singleton(X0),empty_set)|~spl0_114)),
% 288.51/36.64 inference(duplicate_literals_removal,[status(esa)],[f93785])).
% 288.51/36.64 fof(f93791,plain,(
% 288.51/36.64 ![X0,X1,X2]: (pd0_0(X0,singleton(union(X1,X2)))|sk0_20(X0,singleton(union(X1,X2)))=union(X1,X2)|pd0_0(singleton(union(X1,X2)),empty_set)|~member(sk0_21(X0,singleton(union(X1,X2))),X1)|~spl0_114)),
% 288.51/36.64 inference(resolution,[status(thm)],[f93339,f46])).
% 288.51/36.64 fof(f93841,plain,(
% 288.51/36.64 spl0_1372 <=> pd0_0(X0,singleton(power_set(product(empty_set))))|sk0_20(X0,singleton(power_set(product(empty_set))))=power_set(product(empty_set))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f93844,plain,(
% 288.51/36.64 ![X0]: (pd0_0(X0,singleton(power_set(product(empty_set))))|sk0_20(X0,singleton(power_set(product(empty_set))))=power_set(product(empty_set))|pd0_0(singleton(power_set(product(empty_set))),empty_set)|~spl0_114)),
% 288.51/36.64 inference(resolution,[status(thm)],[f93339,f14924])).
% 288.51/36.64 fof(f93845,plain,(
% 288.51/36.64 spl0_1372|spl0_108|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f93844,f93841,f5640,f5919])).
% 288.51/36.64 fof(f93852,plain,(
% 288.51/36.64 ![X0,X1]: (pd0_0(X0,singleton(product(singleton(X1))))|sk0_20(X0,singleton(product(singleton(X1))))=product(singleton(X1))|pd0_0(singleton(product(singleton(X1))),empty_set)|sk0_2(singleton(X1),sk0_21(X0,singleton(product(singleton(X1)))))=X1|~spl0_114)),
% 288.51/36.64 inference(resolution,[status(thm)],[f93339,f1399])).
% 288.51/36.64 fof(f93862,plain,(
% 288.51/36.64 ![X0,X1,X2]: (pd0_0(X0,singleton(X1))|sk0_20(X0,singleton(X1))=X1|pd0_0(singleton(X1),empty_set)|~subset(X2,X1)|~member(sk0_21(X0,singleton(X1)),X2)|~spl0_114)),
% 288.51/36.64 inference(resolution,[status(thm)],[f93339,f26])).
% 288.51/36.64 fof(f93865,plain,(
% 288.51/36.64 ![X0,X1]: (pd0_0(X0,singleton(X1))|sk0_20(X0,singleton(X1))=X1|pd0_0(singleton(X1),empty_set)|~subset(product(empty_set),X1)|~spl0_114)),
% 288.51/36.64 inference(resolution,[status(thm)],[f93339,f2778])).
% 288.51/36.64 fof(f93878,plain,(
% 288.51/36.64 spl0_1375 <=> partition(empty_set,singleton(product(empty_set)))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f93879,plain,(
% 288.51/36.64 partition(empty_set,singleton(product(empty_set)))|~spl0_1375),
% 288.51/36.64 inference(component_clause,[status(thm)],[f93878])).
% 288.51/36.64 fof(f93886,plain,(
% 288.51/36.64 ![X0]: (~member(X0,singleton(product(empty_set)))|~spl0_1375|~spl0_231|~spl0_167)),
% 288.51/36.64 inference(resolution,[status(thm)],[f93879,f89943])).
% 288.51/36.64 fof(f93907,plain,(
% 288.51/36.64 empty_set=unaryUnion(singleton(product(empty_set)))|~spl0_1375|~spl0_231|~spl0_167),
% 288.51/36.64 inference(resolution,[status(thm)],[f93886,f4550])).
% 288.51/36.64 fof(f93908,plain,(
% 288.51/36.64 empty_set=product(empty_set)|~spl0_1375|~spl0_231|~spl0_167),
% 288.51/36.64 inference(forward_demodulation,[status(thm)],[f73114,f93907])).
% 288.51/36.64 fof(f93909,plain,(
% 288.51/36.64 $false|spl0_174|~spl0_1375|~spl0_231|~spl0_167),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f93908,f7951])).
% 288.51/36.64 fof(f93910,plain,(
% 288.51/36.64 spl0_174|~spl0_1375|~spl0_231|~spl0_167),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f93909])).
% 288.51/36.64 fof(f93928,plain,(
% 288.51/36.64 spl0_1377 <=> partition(empty_set,singleton(sum(product(empty_set))))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f93929,plain,(
% 288.51/36.64 partition(empty_set,singleton(sum(product(empty_set))))|~spl0_1377),
% 288.51/36.64 inference(component_clause,[status(thm)],[f93928])).
% 288.51/36.64 fof(f93963,plain,(
% 288.51/36.64 ![X0]: (~member(X0,singleton(sum(product(empty_set))))|~spl0_1377|~spl0_231|~spl0_167)),
% 288.51/36.64 inference(resolution,[status(thm)],[f93929,f89943])).
% 288.51/36.64 fof(f93986,plain,(
% 288.51/36.64 $false|~spl0_1377|~spl0_231|~spl0_167),
% 288.51/36.64 inference(resolution,[status(thm)],[f93963,f179])).
% 288.51/36.64 fof(f93987,plain,(
% 288.51/36.64 ~spl0_1377|~spl0_231|~spl0_167),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f93986])).
% 288.51/36.64 fof(f94085,plain,(
% 288.51/36.64 spl0_1386 <=> pd0_0(X0,singleton(union(empty_set,empty_set)))|sk0_20(X0,singleton(union(empty_set,empty_set)))=union(empty_set,empty_set)|~member(sk0_21(X0,singleton(empty_set)),empty_set)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f94088,plain,(
% 288.51/36.64 spl0_1387 <=> pd0_0(singleton(union(empty_set,empty_set)),empty_set)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f94089,plain,(
% 288.51/36.64 pd0_0(singleton(union(empty_set,empty_set)),empty_set)|~spl0_1387),
% 288.51/36.64 inference(component_clause,[status(thm)],[f94088])).
% 288.51/36.64 fof(f94091,plain,(
% 288.51/36.64 ![X0]: (pd0_0(X0,singleton(union(empty_set,empty_set)))|sk0_20(X0,singleton(union(empty_set,empty_set)))=union(empty_set,empty_set)|pd0_0(singleton(union(empty_set,empty_set)),empty_set)|~member(sk0_21(X0,singleton(empty_set)),empty_set)|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f11093,f93791])).
% 288.51/36.64 fof(f94092,plain,(
% 288.51/36.64 spl0_1386|spl0_1387|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f94091,f94085,f94088,f5919])).
% 288.51/36.64 fof(f94100,plain,(
% 288.51/36.64 pd0_0(singleton(empty_set),empty_set)|~spl0_1387),
% 288.51/36.64 inference(forward_demodulation,[status(thm)],[f11093,f94089])).
% 288.51/36.64 fof(f94101,plain,(
% 288.51/36.64 $false|spl0_153|~spl0_1387),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f94100,f7258])).
% 288.51/36.64 fof(f94102,plain,(
% 288.51/36.64 spl0_153|~spl0_1387),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f94101])).
% 288.51/36.64 fof(f95103,plain,(
% 288.51/36.64 ![X0]: (sk0_15(sk0_16(empty_set,singleton(unaryUnion(singleton(X0)))),unaryUnion(singleton(X0)),singleton(X0))=X0|empty_set=unaryUnion(singleton(unaryUnion(singleton(X0))))|~spl0_231|~spl0_167)),
% 288.51/36.64 inference(resolution,[status(thm)],[f6949,f90025])).
% 288.51/36.64 fof(f95143,plain,(
% 288.51/36.64 ![X0]: (partition(singleton(X0),X0)|sk0_4(X0,singleton(X0))=X0|sk0_20(X0,singleton(X0))=X0|pd0_0(singleton(X0),empty_set)|~spl0_114)),
% 288.51/36.64 inference(resolution,[status(thm)],[f90727,f93786])).
% 288.51/36.64 fof(f95375,plain,(
% 288.51/36.64 spl0_1411 <=> member(sk0_6(empty_set,singleton(empty_set)),empty_set)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f95376,plain,(
% 288.51/36.64 member(sk0_6(empty_set,singleton(empty_set)),empty_set)|~spl0_1411),
% 288.51/36.64 inference(component_clause,[status(thm)],[f95375])).
% 288.51/36.64 fof(f95382,plain,(
% 288.51/36.64 $false|~spl0_231|~spl0_167|~spl0_1411),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f95376,f89782])).
% 288.51/36.64 fof(f95383,plain,(
% 288.51/36.64 ~spl0_231|~spl0_167|~spl0_1411),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f95382])).
% 288.51/36.64 fof(f95388,plain,(
% 288.51/36.64 product(empty_set)=product(empty_set)|product(empty_set)=empty_set|~spl0_114),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f7039,f26903])).
% 288.51/36.64 fof(f95389,plain,(
% 288.51/36.64 spl0_20|spl0_174|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f95388,f1893,f7949,f5919])).
% 288.51/36.64 fof(f95405,plain,(
% 288.51/36.64 spl0_1412 <=> pd0_0(X0,singleton(empty_set))|sk0_20(X0,singleton(product(singleton(empty_set))))=product(singleton(empty_set))|sk0_2(singleton(empty_set),sk0_21(X0,singleton(product(singleton(empty_set)))))=empty_set),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f95408,plain,(
% 288.51/36.64 spl0_1413 <=> pd0_0(singleton(product(singleton(empty_set))),empty_set)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f95409,plain,(
% 288.51/36.64 pd0_0(singleton(product(singleton(empty_set))),empty_set)|~spl0_1413),
% 288.51/36.64 inference(component_clause,[status(thm)],[f95408])).
% 288.51/36.64 fof(f95411,plain,(
% 288.51/36.64 ![X0]: (pd0_0(X0,singleton(empty_set))|sk0_20(X0,singleton(product(singleton(empty_set))))=product(singleton(empty_set))|pd0_0(singleton(product(singleton(empty_set))),empty_set)|sk0_2(singleton(empty_set),sk0_21(X0,singleton(product(singleton(empty_set)))))=empty_set|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f28481,f93852])).
% 288.51/36.64 fof(f95412,plain,(
% 288.51/36.64 spl0_1412|spl0_1413|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f95411,f95405,f95408,f5919])).
% 288.51/36.64 fof(f95413,plain,(
% 288.51/36.64 spl0_1414 <=> pd0_0(X0,singleton(product(singleton(empty_set))))|sk0_20(X0,singleton(product(singleton(empty_set))))=product(singleton(empty_set))|sk0_2(singleton(empty_set),sk0_21(X0,singleton(product(singleton(empty_set)))))=empty_set),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f95416,plain,(
% 288.51/36.64 ![X0]: (pd0_0(X0,singleton(product(singleton(empty_set))))|sk0_20(X0,singleton(product(singleton(empty_set))))=product(singleton(empty_set))|pd0_0(singleton(empty_set),empty_set)|sk0_2(singleton(empty_set),sk0_21(X0,singleton(product(singleton(empty_set)))))=empty_set|~spl0_114)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f28481,f93852])).
% 288.51/36.64 fof(f95417,plain,(
% 288.51/36.64 spl0_1414|spl0_153|~spl0_114),
% 288.51/36.64 inference(split_clause,[status(thm)],[f95416,f95413,f7256,f5919])).
% 288.51/36.64 fof(f95423,plain,(
% 288.51/36.64 pd0_0(singleton(empty_set),empty_set)|~spl0_1413),
% 288.51/36.64 inference(forward_demodulation,[status(thm)],[f28481,f95409])).
% 288.51/36.64 fof(f95424,plain,(
% 288.51/36.64 $false|spl0_153|~spl0_1413),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f95423,f7258])).
% 288.51/36.64 fof(f95425,plain,(
% 288.51/36.64 spl0_153|~spl0_1413),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f95424])).
% 288.51/36.64 fof(f95439,plain,(
% 288.51/36.64 spl0_1415 <=> subset(X1,unaryUnion(power_set(X2)))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f95440,plain,(
% 288.51/36.64 ![X0,X1]: (subset(X0,unaryUnion(power_set(X1)))|~spl0_1415)),
% 288.51/36.64 inference(component_clause,[status(thm)],[f95439])).
% 288.51/36.64 fof(f95485,plain,(
% 288.51/36.64 ![X0]: (subset(X0,empty_set)|~spl0_1415|~spl0_231)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f12506,f95440])).
% 288.51/36.64 fof(f95486,plain,(
% 288.51/36.64 spl0_139|~spl0_1415|~spl0_231),
% 288.51/36.64 inference(split_clause,[status(thm)],[f95485,f6998,f95439,f12505])).
% 288.51/36.64 fof(f95633,plain,(
% 288.51/36.64 ![X0,X1]: (pd0_0(X0,singleton(X1))|sk0_20(X0,singleton(X1))=X1|pd0_0(singleton(X1),empty_set)|~subset(X0,X1)|pd0_0(X0,singleton(X1))|sk0_20(X0,singleton(X1))=X1|~spl0_114)),
% 288.51/36.64 inference(resolution,[status(thm)],[f93862,f5081])).
% 288.51/36.64 fof(f95634,plain,(
% 288.51/36.64 ![X0,X1]: (pd0_0(X0,singleton(X1))|sk0_20(X0,singleton(X1))=X1|pd0_0(singleton(X1),empty_set)|~subset(X0,X1)|~spl0_114)),
% 288.51/36.64 inference(duplicate_literals_removal,[status(esa)],[f95633])).
% 288.51/36.64 fof(f95718,plain,(
% 288.51/36.64 ![X0,X1]: (pd0_0(X0,singleton(unaryUnion(X1)))|sk0_20(X0,singleton(unaryUnion(X1)))=unaryUnion(X1)|pd0_0(singleton(unaryUnion(X1)),empty_set)|~member(product(empty_set),X1)|~spl0_114)),
% 288.51/36.64 inference(resolution,[status(thm)],[f93865,f29997])).
% 288.51/36.64 fof(f96587,plain,(
% 288.51/36.64 ![X0]: (~member(product(empty_set),product(empty_set))|member(product(empty_set),X0)|~spl0_1331)),
% 288.51/36.64 inference(resolution,[status(thm)],[f53,f91708])).
% 288.51/36.64 fof(f96588,plain,(
% 288.51/36.64 ~spl0_967|spl0_763|~spl0_1331),
% 288.51/36.64 inference(split_clause,[status(thm)],[f96587,f64640,f43282,f91707])).
% 288.51/36.64 fof(f96619,plain,(
% 288.51/36.64 spl0_1434 <=> ~member(X1,sum(difference(X2,empty_set)))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f96620,plain,(
% 288.51/36.64 ![X0,X1]: (~member(X0,sum(difference(X1,empty_set)))|~spl0_1434)),
% 288.51/36.64 inference(component_clause,[status(thm)],[f96619])).
% 288.51/36.64 fof(f96632,plain,(
% 288.51/36.64 spl0_1435 <=> product(empty_set)=unaryUnion(X1)|~member(empty_set,X1)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f96633,plain,(
% 288.51/36.64 ![X0]: (product(empty_set)=unaryUnion(X0)|~member(empty_set,X0)|~spl0_1435)),
% 288.51/36.64 inference(component_clause,[status(thm)],[f96632])).
% 288.51/36.64 fof(f96651,plain,(
% 288.51/36.64 spl0_1438 <=> ~member(empty_set,X1)|subset(X2,unaryUnion(X1))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f96652,plain,(
% 288.51/36.64 ![X0,X1]: (~member(empty_set,X0)|subset(X1,unaryUnion(X0))|~spl0_1438)),
% 288.51/36.64 inference(component_clause,[status(thm)],[f96651])).
% 288.51/36.64 fof(f96656,plain,(
% 288.51/36.64 spl0_1439 <=> ~member(empty_set,X1)|subset(X2,sum(X1))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f96657,plain,(
% 288.51/36.64 ![X0,X1]: (~member(empty_set,X0)|subset(X1,sum(X0))|~spl0_1439)),
% 288.51/36.64 inference(component_clause,[status(thm)],[f96656])).
% 288.51/36.64 fof(f96661,plain,(
% 288.51/36.64 spl0_1440 <=> member(X1,sum(empty_set))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f96662,plain,(
% 288.51/36.64 ![X0]: (member(X0,sum(empty_set))|~spl0_1440)),
% 288.51/36.64 inference(component_clause,[status(thm)],[f96661])).
% 288.51/36.64 fof(f96666,plain,(
% 288.51/36.64 spl0_1441 <=> member(X1,unaryUnion(empty_set))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f96667,plain,(
% 288.51/36.64 ![X0]: (member(X0,unaryUnion(empty_set))|~spl0_1441)),
% 288.51/36.64 inference(component_clause,[status(thm)],[f96666])).
% 288.51/36.64 fof(f96689,plain,(
% 288.51/36.64 spl0_1444 <=> subset(difference(X1,empty_set),X2)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f96690,plain,(
% 288.51/36.64 ![X0,X1]: (subset(difference(X0,empty_set),X1)|~spl0_1444)),
% 288.51/36.64 inference(component_clause,[status(thm)],[f96689])).
% 288.51/36.64 fof(f96694,plain,(
% 288.51/36.64 spl0_1445 <=> subset(X1,union(empty_set,X2))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f96695,plain,(
% 288.51/36.64 ![X0,X1]: (subset(X0,union(empty_set,X1))|~spl0_1445)),
% 288.51/36.64 inference(component_clause,[status(thm)],[f96694])).
% 288.51/36.64 fof(f96699,plain,(
% 288.51/36.64 spl0_1446 <=> subset(X1,union(X2,empty_set))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f96700,plain,(
% 288.51/36.64 ![X0,X1]: (subset(X0,union(X1,empty_set))|~spl0_1446)),
% 288.51/36.64 inference(component_clause,[status(thm)],[f96699])).
% 288.51/36.64 fof(f96706,plain,(
% 288.51/36.64 spl0_1447 <=> pd0_0(difference(X1,empty_set),empty_set)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f96707,plain,(
% 288.51/36.64 ![X0]: (pd0_0(difference(X0,empty_set),empty_set)|~spl0_1447)),
% 288.51/36.64 inference(component_clause,[status(thm)],[f96706])).
% 288.51/36.64 fof(f96713,plain,(
% 288.51/36.64 spl0_1448 <=> disjoint(difference(X1,empty_set),X2)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f96714,plain,(
% 288.51/36.64 ![X0,X1]: (disjoint(difference(X0,empty_set),X1)|~spl0_1448)),
% 288.51/36.64 inference(component_clause,[status(thm)],[f96713])).
% 288.51/36.64 fof(f96718,plain,(
% 288.51/36.64 spl0_1449 <=> disjoint(X1,difference(X2,empty_set))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f96719,plain,(
% 288.51/36.64 ![X0,X1]: (disjoint(X0,difference(X1,empty_set))|~spl0_1449)),
% 288.51/36.64 inference(component_clause,[status(thm)],[f96718])).
% 288.51/36.64 fof(f96759,plain,(
% 288.51/36.64 ![X0]: (member(X0,empty_set)|~spl0_1441)),
% 288.51/36.64 inference(forward_demodulation,[status(thm)],[f4886,f96667])).
% 288.51/36.64 fof(f96760,plain,(
% 288.51/36.64 $false|~spl0_231|~spl0_167|~spl0_1441),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f96759,f89782])).
% 288.51/36.64 fof(f96761,plain,(
% 288.51/36.64 ~spl0_231|~spl0_167|~spl0_1441),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f96760])).
% 288.51/36.64 fof(f96762,plain,(
% 288.51/36.64 ![X0]: (member(X0,empty_set)|~spl0_1440)),
% 288.51/36.64 inference(forward_demodulation,[status(thm)],[f5167,f96662])).
% 288.51/36.64 fof(f96763,plain,(
% 288.51/36.64 $false|~spl0_231|~spl0_167|~spl0_1440),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f96762,f89782])).
% 288.51/36.64 fof(f96764,plain,(
% 288.51/36.64 ~spl0_231|~spl0_167|~spl0_1440),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f96763])).
% 288.51/36.64 fof(f96766,plain,(
% 288.51/36.64 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,difference(X2,empty_set))|~spl0_1449)),
% 288.51/36.64 inference(resolution,[status(thm)],[f96719,f80])).
% 288.51/36.64 fof(f96801,plain,(
% 288.51/36.64 ![X0]: (subset(X0,empty_set)|~spl0_1446)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f11093,f96700])).
% 288.51/36.64 fof(f96802,plain,(
% 288.51/36.64 spl0_139|~spl0_1446),
% 288.51/36.64 inference(split_clause,[status(thm)],[f96801,f6998,f96699])).
% 288.51/36.64 fof(f96810,plain,(
% 288.51/36.64 ![X0]: (subset(X0,empty_set)|~spl0_1445)),
% 288.51/36.64 inference(paramodulation,[status(thm)],[f11093,f96695])).
% 288.51/36.64 fof(f96811,plain,(
% 288.51/36.64 spl0_139|~spl0_1445),
% 288.51/36.64 inference(split_clause,[status(thm)],[f96810,f6998,f96694])).
% 288.51/36.64 fof(f96817,plain,(
% 288.51/36.64 ![X0,X1]: (~member(X0,difference(X1,empty_set))|~spl0_1444)),
% 288.51/36.64 inference(resolution,[status(thm)],[f96690,f5018])).
% 288.51/36.64 fof(f96872,plain,(
% 288.51/36.64 ![X0,X1]: (~member(X0,X1)|member(X0,empty_set)|~spl0_1444)),
% 288.51/36.64 inference(resolution,[status(thm)],[f96817,f53])).
% 288.51/36.64 fof(f96873,plain,(
% 288.51/36.64 ![X0,X1]: (~member(X0,X1)|~spl0_231|~spl0_167|~spl0_1444)),
% 288.51/36.64 inference(forward_subsumption_resolution,[status(thm)],[f96872,f89782])).
% 288.51/36.64 fof(f96900,plain,(
% 288.51/36.64 $false|~spl0_231|~spl0_167|~spl0_1444),
% 288.51/36.64 inference(backward_subsumption_resolution,[status(thm)],[f29165,f96873])).
% 288.51/36.64 fof(f96901,plain,(
% 288.51/36.64 ~spl0_231|~spl0_167|~spl0_1444),
% 288.51/36.64 inference(contradiction_clause,[status(thm)],[f96900])).
% 288.51/36.64 fof(f96907,plain,(
% 288.51/36.64 ![X0]: (partition(empty_set,difference(X0,empty_set))|~spl0_1447|~spl0_231|~spl0_167)),
% 288.51/36.64 inference(resolution,[status(thm)],[f96707,f90728])).
% 288.51/36.64 fof(f96931,plain,(
% 288.51/36.64 ![X0]: (~pd0_0(power_set(X0),empty_set)|~spl0_231|~spl0_167)),
% 288.51/36.64 inference(resolution,[status(thm)],[f93708,f31535])).
% 288.51/36.64 fof(f96958,plain,(
% 288.51/36.64 ![X0]: (~pd0_0(singleton(X0),empty_set)|~spl0_231|~spl0_167)),
% 288.51/36.64 inference(resolution,[status(thm)],[f179,f93708])).
% 288.51/36.64 fof(f97018,plain,(
% 288.51/36.64 spl0_1456 <=> ~partition(sum(product(empty_set)),X0)),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f97021,plain,(
% 288.51/36.64 spl0_1457 <=> member(sum(product(empty_set)),sum(product(empty_set)))),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f97023,plain,(
% 288.51/36.64 ~member(sum(product(empty_set)),sum(product(empty_set)))|spl0_1457),
% 288.51/36.64 inference(component_clause,[status(thm)],[f97021])).
% 288.51/36.64 fof(f97035,plain,(
% 288.51/36.64 spl0_1459 <=> ~member(X1,sum(product(empty_set)))|~member(X2,X1)|~member(X2,X3)|X1=X3),
% 288.51/36.64 introduced(split_symbol_definition)).
% 288.51/36.64 fof(f97036,plain,(
% 288.51/36.64 ![X0,X1,X2]: (~member(X0,sum(product(empty_set)))|~member(X1,X0)|~member(X1,X2)|X0=X2|~spl0_1459)),
% 288.51/36.65 inference(component_clause,[status(thm)],[f97035])).
% 288.51/36.65 fof(f97038,plain,(
% 288.51/36.65 ![X0,X1,X2,X3]: (~partition(sum(product(empty_set)),X0)|~member(X1,sum(product(empty_set)))|~member(X2,X1)|~member(X2,X3)|X1=X3)),
% 288.51/36.65 inference(resolution,[status(thm)],[f21049,f90])).
% 288.51/36.65 fof(f97039,plain,(
% 288.51/36.65 spl0_1456|spl0_1459),
% 288.51/36.65 inference(split_clause,[status(thm)],[f97038,f97018,f97035])).
% 288.51/36.65 fof(f97042,plain,(
% 288.51/36.65 $false|spl0_1457),
% 288.51/36.65 inference(forward_subsumption_resolution,[status(thm)],[f97023,f21049])).
% 288.51/36.65 fof(f97043,plain,(
% 288.51/36.65 spl0_1457),
% 288.51/36.65 inference(contradiction_clause,[status(thm)],[f97042])).
% 288.51/36.65 fof(f97044,plain,(
% 288.51/36.65 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|X1=X2|~spl0_1459)),
% 288.51/36.65 inference(forward_subsumption_resolution,[status(thm)],[f97036,f21049])).
% 288.51/36.65 fof(f97048,plain,(
% 288.51/36.65 spl0_1460 <=> ~partition(power_set(product(empty_set)),X0)),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f97051,plain,(
% 288.51/36.65 spl0_1461 <=> member(power_set(product(empty_set)),power_set(product(empty_set)))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f97053,plain,(
% 288.51/36.65 ~member(power_set(product(empty_set)),power_set(product(empty_set)))|spl0_1461),
% 288.51/36.65 inference(component_clause,[status(thm)],[f97051])).
% 288.51/36.65 fof(f97062,plain,(
% 288.51/36.65 spl0_1462 <=> ~member(X1,power_set(product(empty_set)))|~member(X2,X1)|~member(X2,X3)|X1=X3),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f97063,plain,(
% 288.51/36.65 ![X0,X1,X2]: (~member(X0,power_set(product(empty_set)))|~member(X1,X0)|~member(X1,X2)|X0=X2|~spl0_1462)),
% 288.51/36.65 inference(component_clause,[status(thm)],[f97062])).
% 288.51/36.65 fof(f97065,plain,(
% 288.51/36.65 ![X0,X1,X2,X3]: (~partition(power_set(product(empty_set)),X0)|~member(X1,power_set(product(empty_set)))|~member(X2,X1)|~member(X2,X3)|X1=X3)),
% 288.51/36.65 inference(resolution,[status(thm)],[f14924,f90])).
% 288.51/36.65 fof(f97066,plain,(
% 288.51/36.65 spl0_1460|spl0_1462),
% 288.51/36.65 inference(split_clause,[status(thm)],[f97065,f97048,f97062])).
% 288.51/36.65 fof(f97069,plain,(
% 288.51/36.65 $false|spl0_1461),
% 288.51/36.65 inference(forward_subsumption_resolution,[status(thm)],[f97053,f14924])).
% 288.51/36.65 fof(f97070,plain,(
% 288.51/36.65 spl0_1461),
% 288.51/36.65 inference(contradiction_clause,[status(thm)],[f97069])).
% 288.51/36.65 fof(f97071,plain,(
% 288.51/36.65 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|X1=X2|~spl0_1462)),
% 288.51/36.65 inference(forward_subsumption_resolution,[status(thm)],[f97063,f14924])).
% 288.51/36.65 fof(f97112,plain,(
% 288.51/36.65 ![X0,X1,X2,X3,X4]: (~partition(X0,X1)|~member(X2,X0)|~member(unordered_pair(X3,X4),X0)|~member(X3,X2)|X2=unordered_pair(X3,X4))),
% 288.51/36.65 inference(resolution,[status(thm)],[f180,f90])).
% 288.51/36.65 fof(f97122,plain,(
% 288.51/36.65 ![X0,X1,X2,X3,X4]: (~partition(X0,X1)|~member(X2,X0)|~member(unordered_pair(X3,X4),X0)|~member(X4,X2)|X2=unordered_pair(X3,X4))),
% 288.51/36.65 inference(resolution,[status(thm)],[f181,f90])).
% 288.51/36.65 fof(f97223,plain,(
% 288.51/36.65 ![X0,X1,X2,X3,X4]: (X0=unaryUnion(X1)|member(sk0_17(X0,X1),X1)|~partition(X2,X3)|~member(X4,X2)|~member(X0,X2)|~member(sk0_16(X0,X1),X4)|X4=X0)),
% 288.51/36.65 inference(resolution,[status(thm)],[f143,f90])).
% 288.51/36.65 fof(f97224,plain,(
% 288.51/36.65 ![X0,X1,X2]: (X0=unaryUnion(X1)|member(sk0_17(X0,X1),X1)|~partition(X0,X2)|~member(X0,X0)|~member(sk0_16(X0,X1),sk0_16(X0,X1))|X0=sk0_16(X0,X1))),
% 288.51/36.65 inference(resolution,[status(thm)],[f143,f90])).
% 288.51/36.65 fof(f97227,plain,(
% 288.51/36.65 ![X0,X1,X2,X3,X4]: (X0=unaryUnion(X1)|member(sk0_17(X0,X1),X1)|~partition(X0,X2)|~member(X3,X0)|~member(X4,X3)|~member(X4,sk0_16(X0,X1))|X3=sk0_16(X0,X1))),
% 288.51/36.65 inference(resolution,[status(thm)],[f143,f90])).
% 288.51/36.65 fof(f97233,plain,(
% 288.51/36.65 ![X0]: (X0=unaryUnion(empty_set)|member(sk0_16(X0,empty_set),X0)|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f143,f89782])).
% 288.51/36.65 fof(f97234,plain,(
% 288.51/36.65 ![X0]: (X0=empty_set|member(sk0_16(X0,empty_set),X0)|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(forward_demodulation,[status(thm)],[f4886,f97233])).
% 288.51/36.65 fof(f97237,plain,(
% 288.51/36.65 ![X0,X1,X2,X3,X4]: (X0=unaryUnion(X1)|member(sk0_16(X0,X1),X0)|~partition(X2,X3)|~member(X4,X2)|~member(X1,X2)|~member(sk0_17(X0,X1),X4)|X4=X1)),
% 288.51/36.65 inference(resolution,[status(thm)],[f143,f90])).
% 288.51/36.65 fof(f97238,plain,(
% 288.51/36.65 ![X0,X1,X2]: (X0=unaryUnion(X1)|member(sk0_16(X0,X1),X0)|~partition(X1,X2)|~member(X1,X1)|~member(sk0_17(X0,X1),sk0_17(X0,X1))|X1=sk0_17(X0,X1))),
% 288.51/36.65 inference(resolution,[status(thm)],[f143,f90])).
% 288.51/36.65 fof(f97241,plain,(
% 288.51/36.65 ![X0,X1,X2,X3,X4]: (X0=unaryUnion(X1)|member(sk0_16(X0,X1),X0)|~partition(X1,X2)|~member(X3,X1)|~member(X4,X3)|~member(X4,sk0_17(X0,X1))|X3=sk0_17(X0,X1))),
% 288.51/36.65 inference(resolution,[status(thm)],[f143,f90])).
% 288.51/36.65 fof(f97295,plain,(
% 288.51/36.65 ![X0,X1]: (pd0_0(X0,singleton(X1))|~member(sk0_21(X0,singleton(X1)),X1)|sk0_20(X0,singleton(X1))=X1|~spl0_231|~spl0_167|~spl0_114)),
% 288.51/36.65 inference(backward_subsumption_resolution,[status(thm)],[f93339,f96958])).
% 288.51/36.65 fof(f97298,plain,(
% 288.51/36.65 ![X0]: (pd0_0(X0,singleton(X0))|sk0_20(X0,singleton(X0))=X0|~spl0_231|~spl0_167|~spl0_114)),
% 288.51/36.65 inference(backward_subsumption_resolution,[status(thm)],[f93786,f96958])).
% 288.51/36.65 fof(f97537,plain,(
% 288.51/36.65 ![X0]: (~partition(empty_set,unaryUnion(singleton(singleton(X0))))|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f31061,f89943])).
% 288.51/36.65 fof(f97833,plain,(
% 288.51/36.65 ![X0]: (empty_set=unaryUnion(singleton(X0))|~subset(X0,empty_set)|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f90025,f5018])).
% 288.51/36.65 fof(f97869,plain,(
% 288.51/36.65 ![X0,X1]: (~member(X0,X1)|X1=power_set(X0)|~spl0_1459)),
% 288.51/36.65 inference(resolution,[status(thm)],[f97044,f5401])).
% 288.51/36.65 fof(f97885,plain,(
% 288.51/36.65 ![X0]: (power_set(X0)=power_set(empty_set)|~spl0_1459|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f97869,f31535])).
% 288.51/36.65 fof(f97902,plain,(
% 288.51/36.65 ![X0]: (subset(X0,power_set(empty_set))|~spl0_1459|~spl0_167)),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f97885,f2184])).
% 288.51/36.65 fof(f97903,plain,(
% 288.51/36.65 spl0_735|~spl0_1459|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f97902,f39033,f97035,f7695])).
% 288.51/36.65 fof(f97936,plain,(
% 288.51/36.65 ![X0,X1]: (~member(X0,X1)|X1=power_set(X0)|~spl0_1462)),
% 288.51/36.65 inference(resolution,[status(thm)],[f97071,f5401])).
% 288.51/36.65 fof(f97952,plain,(
% 288.51/36.65 ![X0]: (power_set(X0)=power_set(empty_set)|~spl0_1462|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f97936,f31535])).
% 288.51/36.65 fof(f98014,plain,(
% 288.51/36.65 ![X0,X1]: (sk0_17(X0,singleton(X1))=X1|X0=unaryUnion(singleton(X1))|member(sk0_16(X0,singleton(X1)),X0))),
% 288.51/36.65 inference(resolution,[status(thm)],[f56,f143])).
% 288.51/36.65 fof(f98018,plain,(
% 288.51/36.65 ![X0,X1]: (sk0_16(singleton(X0),X1)=X0|singleton(X0)=unaryUnion(X1)|member(sk0_17(singleton(X0),X1),X1))),
% 288.51/36.65 inference(resolution,[status(thm)],[f56,f143])).
% 288.51/36.65 fof(f98119,plain,(
% 288.51/36.65 ![X0,X1,X2]: (~member(X0,difference(X1,empty_set))|~member(X2,X0)|~spl0_1434)),
% 288.51/36.65 inference(resolution,[status(thm)],[f68,f96620])).
% 288.51/36.65 fof(f98203,plain,(
% 288.51/36.65 ![X0]: (subset(X0,power_set(empty_set))|~spl0_1462|~spl0_167)),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f97952,f2184])).
% 288.51/36.65 fof(f98204,plain,(
% 288.51/36.65 spl0_735|~spl0_1462|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f98203,f39033,f97062,f7695])).
% 288.51/36.65 fof(f98307,plain,(
% 288.51/36.65 ![X0,X1]: (~member(X0,difference(X1,empty_set))|member(sk0_19(X0,difference(X1,empty_set),empty_set),empty_set)|~spl0_1447|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f5072,f96907])).
% 288.51/36.65 fof(f98308,plain,(
% 288.51/36.65 ![X0,X1]: (~member(X0,difference(X1,empty_set))|~spl0_1447|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(forward_subsumption_resolution,[status(thm)],[f98307,f89782])).
% 288.51/36.65 fof(f98447,plain,(
% 288.51/36.65 ![X0,X1]: (~member(empty_set,difference(power_set(empty_set),X0))|subset(X1,empty_set)|~spl0_1439|~spl0_231)),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f41130,f96657])).
% 288.51/36.65 fof(f98448,plain,(
% 288.51/36.65 spl0_836|spl0_139|~spl0_1439|~spl0_231),
% 288.51/36.65 inference(split_clause,[status(thm)],[f98447,f55217,f6998,f96656,f12505])).
% 288.51/36.65 fof(f98449,plain,(
% 288.51/36.65 spl0_1464 <=> ~member(empty_set,intersection(power_set(empty_set),X0))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f98450,plain,(
% 288.51/36.65 ![X0]: (~member(empty_set,intersection(power_set(empty_set),X0))|~spl0_1464)),
% 288.51/36.65 inference(component_clause,[status(thm)],[f98449])).
% 288.51/36.65 fof(f98454,plain,(
% 288.51/36.65 spl0_1465 <=> ~member(empty_set,intersection(X0,power_set(empty_set)))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f98455,plain,(
% 288.51/36.65 ![X0]: (~member(empty_set,intersection(X0,power_set(empty_set)))|~spl0_1465)),
% 288.51/36.65 inference(component_clause,[status(thm)],[f98454])).
% 288.51/36.65 fof(f98516,plain,(
% 288.51/36.65 ~pd0_0(sum(sum(product(empty_set))),empty_set)|~spl0_231|~spl0_167),
% 288.51/36.65 inference(resolution,[status(thm)],[f21062,f93708])).
% 288.51/36.65 fof(f98537,plain,(
% 288.51/36.65 ~pd0_0(sum(power_set(product(empty_set))),empty_set)|~spl0_231|~spl0_167),
% 288.51/36.65 inference(resolution,[status(thm)],[f21043,f93708])).
% 288.51/36.65 fof(f98667,plain,(
% 288.51/36.65 ![X0]: (pd0_0(empty_set,X0)|~pd0_0(X0,empty_set)|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f5102,f93708])).
% 288.51/36.65 fof(f98918,plain,(
% 288.51/36.65 ![X0]: (~member(empty_set,singleton(empty_set))|subset(X0,empty_set)|~spl0_1438|~spl0_167|~spl0_114)),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f11064,f96652])).
% 288.51/36.65 fof(f98919,plain,(
% 288.51/36.65 ~spl0_4|spl0_139|~spl0_1438|~spl0_167|~spl0_114),
% 288.51/36.65 inference(split_clause,[status(thm)],[f98918,f393,f6998,f96651,f7695,f5919])).
% 288.51/36.65 fof(f98928,plain,(
% 288.51/36.65 spl0_1466 <=> ~member(empty_set,difference(X0,empty_set))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f98929,plain,(
% 288.51/36.65 ![X0]: (~member(empty_set,difference(X0,empty_set))|~spl0_1466)),
% 288.51/36.65 inference(component_clause,[status(thm)],[f98928])).
% 288.51/36.65 fof(f99032,plain,(
% 288.51/36.65 ![X0]: (difference(X0,empty_set)=empty_set|~spl0_1447|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f97234,f98308])).
% 288.51/36.65 fof(f99045,plain,(
% 288.51/36.65 ![X0]: (X0=empty_set|~subset(X0,empty_set)|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f97234,f5018])).
% 288.51/36.65 fof(f99435,plain,(
% 288.51/36.65 ![X0]: (sk0_3(power_set(product(empty_set)),singleton(X0))=X0)),
% 288.51/36.65 inference(resolution,[status(thm)],[f1031,f14924])).
% 288.51/36.65 fof(f99620,plain,(
% 288.51/36.65 ![X0,X1]: (sk0_0(X0,singleton(X1))=X1|~pd0_0(X0,empty_set)|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f202,f93708])).
% 288.51/36.65 fof(f99663,plain,(
% 288.51/36.65 ![X0,X1]: (sk0_2(singleton(X0),X1)=X0|~pd0_0(X0,empty_set)|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f1774,f93708])).
% 288.51/36.65 fof(f99676,plain,(
% 288.51/36.65 ![X0]: (pd0_0(power_set(X0),empty_set)|subset(sk0_21(power_set(X0),empty_set),X0))),
% 288.51/36.65 inference(resolution,[status(thm)],[f5086,f36])).
% 288.51/36.65 fof(f99677,plain,(
% 288.51/36.65 ![X0]: (subset(sk0_21(power_set(X0),empty_set),X0)|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(forward_subsumption_resolution,[status(thm)],[f99676,f96931])).
% 288.51/36.65 fof(f99685,plain,(
% 288.51/36.65 ![X0]: (pd0_0(X0,empty_set)|~subset(X0,empty_set))),
% 288.51/36.65 inference(resolution,[status(thm)],[f5086,f5018])).
% 288.51/36.65 fof(f99731,plain,(
% 288.51/36.65 ![X0]: (~subset(X0,empty_set)|partition(empty_set,X0)|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f99685,f90728])).
% 288.51/36.65 fof(f99831,plain,(
% 288.51/36.65 ![X0,X1]: (disjoint(X0,X1)|~subset(X0,empty_set))),
% 288.51/36.65 inference(resolution,[status(thm)],[f81,f5018])).
% 288.51/36.65 fof(f99866,plain,(
% 288.51/36.65 ![X0,X1]: (disjoint(X0,X1)|~subset(X1,empty_set))),
% 288.51/36.65 inference(resolution,[status(thm)],[f82,f5018])).
% 288.51/36.65 fof(f99868,plain,(
% 288.51/36.65 ![X0,X1]: (disjoint(X0,X1)|~pd0_0(X1,empty_set)|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f82,f93708])).
% 288.51/36.65 fof(f100090,plain,(
% 288.51/36.65 ![X0]: (empty_set=unaryUnion(X0)|~subset(X0,empty_set))),
% 288.51/36.65 inference(resolution,[status(thm)],[f4550,f5018])).
% 288.51/36.65 fof(f100092,plain,(
% 288.51/36.65 ![X0]: (empty_set=unaryUnion(X0)|~pd0_0(X0,empty_set)|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f4550,f93708])).
% 288.51/36.65 fof(f100220,plain,(
% 288.51/36.65 ![X0,X1]: (member(X0,product(singleton(X1)))|sk0_2(singleton(X1),X0)=X1)),
% 288.51/36.65 inference(resolution,[status(thm)],[f74,f56])).
% 288.51/36.65 fof(f100234,plain,(
% 288.51/36.65 ![X0,X1]: (member(X0,product(X1))|~partition(empty_set,X1)|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f74,f89943])).
% 288.51/36.65 fof(f100235,plain,(
% 288.51/36.65 ![X0,X1]: (member(X0,product(X1))|~pd0_0(X1,empty_set)|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f74,f93708])).
% 288.51/36.65 fof(f100242,plain,(
% 288.51/36.65 empty_set=unaryUnion(empty_set)|~pd0_0(empty_set,empty_set)|~spl0_231|~spl0_167),
% 288.51/36.65 inference(resolution,[status(thm)],[f100092,f98667])).
% 288.51/36.65 fof(f100243,plain,(
% 288.51/36.65 spl0_294|~spl0_653|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f100242,f14658,f29862,f12505,f7695])).
% 288.51/36.65 fof(f100248,plain,(
% 288.51/36.65 ![X0]: (~member(empty_set,X0)|~member(empty_set,power_set(empty_set))|~spl0_1465)),
% 288.51/36.65 inference(resolution,[status(thm)],[f98455,f42])).
% 288.51/36.65 fof(f100249,plain,(
% 288.51/36.65 spl0_672|~spl0_270|~spl0_1465),
% 288.51/36.65 inference(split_clause,[status(thm)],[f100248,f30824,f13630,f98454])).
% 288.51/36.65 fof(f100253,plain,(
% 288.51/36.65 ![X0]: (~member(empty_set,power_set(empty_set))|~member(empty_set,X0)|~spl0_1464)),
% 288.51/36.65 inference(resolution,[status(thm)],[f98450,f42])).
% 288.51/36.65 fof(f100254,plain,(
% 288.51/36.65 ~spl0_270|spl0_672|~spl0_1464),
% 288.51/36.65 inference(split_clause,[status(thm)],[f100253,f13630,f30824,f98449])).
% 288.51/36.65 fof(f100298,plain,(
% 288.51/36.65 spl0_1472 <=> subset(empty_set,sk0_16(empty_set,singleton(singleton(empty_set))))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f100301,plain,(
% 288.51/36.65 subset(empty_set,sk0_16(empty_set,singleton(singleton(empty_set))))|empty_set=unaryUnion(singleton(singleton(empty_set)))|~spl0_231|~spl0_167),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f28481,f90527])).
% 288.51/36.65 fof(f100302,plain,(
% 288.51/36.65 spl0_1472|spl0_184|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f100301,f100298,f8592,f12505,f7695])).
% 288.51/36.65 fof(f100320,plain,(
% 288.51/36.65 spl0_1475 <=> subset(empty_set,sk0_16(empty_set,singleton(product(empty_set))))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f100323,plain,(
% 288.51/36.65 spl0_1476 <=> empty_set=unaryUnion(singleton(product(empty_set)))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f100324,plain,(
% 288.51/36.65 empty_set=unaryUnion(singleton(product(empty_set)))|~spl0_1476),
% 288.51/36.65 inference(component_clause,[status(thm)],[f100323])).
% 288.51/36.65 fof(f100326,plain,(
% 288.51/36.65 subset(empty_set,sk0_16(empty_set,singleton(product(empty_set))))|empty_set=unaryUnion(singleton(product(empty_set)))|~spl0_231|~spl0_167),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f28479,f90527])).
% 288.51/36.65 fof(f100327,plain,(
% 288.51/36.65 spl0_1475|spl0_1476|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f100326,f100320,f100323,f12505,f7695])).
% 288.51/36.65 fof(f100479,plain,(
% 288.51/36.65 ![X0,X1]: (member(X0,unaryUnion(union(product(empty_set),X1))))),
% 288.51/36.65 inference(resolution,[status(thm)],[f30975,f14917])).
% 288.51/36.65 fof(f100505,plain,(
% 288.51/36.65 ![X0]: (member(X0,unaryUnion(sum(product(empty_set)))))),
% 288.51/36.65 inference(resolution,[status(thm)],[f30975,f21049])).
% 288.51/36.65 fof(f100533,plain,(
% 288.51/36.65 ![X0]: (subset(X0,unaryUnion(sum(product(empty_set)))))),
% 288.51/36.65 inference(resolution,[status(thm)],[f100505,f28])).
% 288.51/36.65 fof(f100694,plain,(
% 288.51/36.65 ![X0,X1]: (member(X0,empty_set)|~member(X0,X1)|member(X0,empty_set)|~spl0_1447|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f99032,f53])).
% 288.51/36.65 fof(f100695,plain,(
% 288.51/36.65 ![X0,X1]: (member(X0,empty_set)|~member(X0,X1)|~spl0_1447|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(duplicate_literals_removal,[status(esa)],[f100694])).
% 288.51/36.65 fof(f100696,plain,(
% 288.51/36.65 ![X0,X1]: (~member(X0,X1)|~spl0_1447|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(forward_subsumption_resolution,[status(thm)],[f100695,f89782])).
% 288.51/36.65 fof(f100726,plain,(
% 288.51/36.65 ![X0,X1]: (member(sk0_2(X0,X1),X0)|~spl0_1447|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(backward_subsumption_resolution,[status(thm)],[f74,f100696])).
% 288.51/36.65 fof(f100727,plain,(
% 288.51/36.65 $false|~spl0_1447|~spl0_231|~spl0_167),
% 288.51/36.65 inference(forward_subsumption_resolution,[status(thm)],[f100726,f100696])).
% 288.51/36.65 fof(f100728,plain,(
% 288.51/36.65 ~spl0_1447|~spl0_231|~spl0_167),
% 288.51/36.65 inference(contradiction_clause,[status(thm)],[f100727])).
% 288.51/36.65 fof(f100753,plain,(
% 288.51/36.65 ![X0]: (member(X0,product(empty_set))|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f100235,f5567])).
% 288.51/36.65 fof(f100758,plain,(
% 288.51/36.65 ![X0,X1]: (member(X0,product(X1))|~subset(X1,empty_set)|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f100235,f99685])).
% 288.51/36.65 fof(f100848,plain,(
% 288.51/36.65 ![X0,X1,X2,X3]: (~partition(X0,X1)|~member(singleton(X2),X0)|~member(X3,X0)|~member(X2,X3)|singleton(X2)=X3)),
% 288.51/36.65 inference(resolution,[status(thm)],[f90,f179])).
% 288.51/36.65 fof(f101116,plain,(
% 288.51/36.65 ![X0]: (~member(X0,singleton(empty_set))|subset(X0,empty_set)|~spl0_167|~spl0_114)),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f11064,f29997])).
% 288.51/36.65 fof(f101178,plain,(
% 288.51/36.65 ![X0,X1]: (~disjoint(X0,power_set(X1))|~member(empty_set,X0)|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f80,f31535])).
% 288.51/36.65 fof(f101192,plain,(
% 288.51/36.65 ![X0,X1]: (~disjoint(X0,singleton(X1))|~member(X1,X0))),
% 288.51/36.65 inference(resolution,[status(thm)],[f80,f179])).
% 288.51/36.65 fof(f101193,plain,(
% 288.51/36.65 ![X0,X1]: (~disjoint(X0,product(empty_set))|~member(X1,X0)|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f80,f100753])).
% 288.51/36.65 fof(f101215,plain,(
% 288.51/36.65 ![X0,X1,X2,X3,X4,X5]: (~pd0_0(X0,X1)|~member(X2,X0)|~partition(X3,X4)|~member(X5,X3)|~member(X1,X3)|~member(sk0_19(X2,X0,X1),X5)|X5=X1)),
% 288.51/36.65 inference(resolution,[status(thm)],[f152,f90])).
% 288.51/36.65 fof(f101219,plain,(
% 288.51/36.65 ![X0,X1,X2,X3,X4,X5]: (~pd0_0(X0,X1)|~member(X2,X0)|~partition(X1,X3)|~member(X4,X1)|~member(X5,X4)|~member(X5,sk0_19(X2,X0,X1))|X4=sk0_19(X2,X0,X1))),
% 288.51/36.65 inference(resolution,[status(thm)],[f152,f90])).
% 288.51/36.65 fof(f101224,plain,(
% 288.51/36.65 ![X0,X1,X2]: (~pd0_0(X0,X1)|~member(X2,X0)|~pd0_0(X1,empty_set)|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f152,f93708])).
% 288.51/36.65 fof(f101241,plain,(
% 288.51/36.65 ![X0]: (X0=empty_set|subset(product(X0),sk0_16(X0,empty_set))|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f97234,f26650])).
% 288.51/36.65 fof(f101410,plain,(
% 288.51/36.65 spl0_1490 <=> ~pd0_0(power_set(X1),empty_set)),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f101413,plain,(
% 288.51/36.65 ![X0,X1]: (~member(empty_set,X0)|~pd0_0(power_set(X1),empty_set)|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f101178,f99868])).
% 288.51/36.65 fof(f101414,plain,(
% 288.51/36.65 spl0_672|spl0_1490|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f101413,f30824,f101410,f12505,f7695])).
% 288.51/36.65 fof(f101416,plain,(
% 288.51/36.65 ![X0,X1]: (~member(empty_set,X0)|~subset(power_set(X1),empty_set)|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f101178,f99866])).
% 288.51/36.65 fof(f101417,plain,(
% 288.51/36.65 spl0_672|spl0_1312|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f101416,f30824,f89872,f7695])).
% 288.51/36.65 fof(f101419,plain,(
% 288.51/36.65 ![X0,X1]: (~member(X0,difference(X1,empty_set))|~spl0_231|~spl0_167|~spl0_1448)),
% 288.51/36.65 inference(resolution,[status(thm)],[f101193,f96714])).
% 288.51/36.65 fof(f101424,plain,(
% 288.51/36.65 spl0_1491 <=> pd0_0(product(empty_set),empty_set)),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f101427,plain,(
% 288.51/36.65 ![X0,X1]: (~member(X0,X1)|~pd0_0(product(empty_set),empty_set)|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f101193,f99868])).
% 288.51/36.65 fof(f101428,plain,(
% 288.51/36.65 spl0_27|~spl0_1491|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f101427,f2359,f101424,f12505,f7695])).
% 288.51/36.65 fof(f101433,plain,(
% 288.51/36.65 ![X0]: (difference(X0,empty_set)=empty_set|~spl0_1448|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f101419,f97234])).
% 288.51/36.65 fof(f101498,plain,(
% 288.51/36.65 product(empty_set)=unaryUnion(singleton(empty_set))|~spl0_1435),
% 288.51/36.65 inference(resolution,[status(thm)],[f96633,f179])).
% 288.51/36.65 fof(f101499,plain,(
% 288.51/36.65 product(empty_set)=empty_set|~spl0_167|~spl0_114|~spl0_1435),
% 288.51/36.65 inference(forward_demodulation,[status(thm)],[f11064,f101498])).
% 288.51/36.65 fof(f101500,plain,(
% 288.51/36.65 $false|spl0_174|~spl0_167|~spl0_114|~spl0_1435),
% 288.51/36.65 inference(forward_subsumption_resolution,[status(thm)],[f101499,f7951])).
% 288.51/36.65 fof(f101501,plain,(
% 288.51/36.65 spl0_174|~spl0_167|~spl0_114|~spl0_1435),
% 288.51/36.65 inference(contradiction_clause,[status(thm)],[f101500])).
% 288.51/36.65 fof(f101565,plain,(
% 288.51/36.65 product(sum(power_set(singleton(empty_set))))=empty_set),
% 288.51/36.65 inference(resolution,[status(thm)],[f21048,f28358])).
% 288.51/36.65 fof(f101581,plain,(
% 288.51/36.65 product(sum(singleton(singleton(empty_set))))=empty_set),
% 288.51/36.65 inference(resolution,[status(thm)],[f21051,f28358])).
% 288.51/36.65 fof(f101939,plain,(
% 288.51/36.65 ![X0,X1,X2,X3,X4]: (~subset(X0,X1)|~partition(X2,X3)|~member(X4,X2)|~member(power_set(X1),X2)|~member(X0,X4)|X4=power_set(X1))),
% 288.51/36.65 inference(resolution,[status(thm)],[f37,f90])).
% 288.51/36.65 fof(f101968,plain,(
% 288.51/36.65 ![X0,X1,X2,X3,X4,X5]: (~member(X0,X1)|~partition(X2,X3)|~member(X4,X2)|~member(union(X5,X1),X2)|~member(X0,X4)|X4=union(X5,X1))),
% 288.51/36.65 inference(resolution,[status(thm)],[f47,f90])).
% 288.51/36.65 fof(f101970,plain,(
% 288.51/36.65 ![X0,X1,X2,X3,X4,X5]: (~member(X0,X1)|~partition(union(X2,X1),X3)|~member(X4,union(X2,X1))|~member(X5,X4)|~member(X5,X0)|X4=X0)),
% 288.51/36.65 inference(resolution,[status(thm)],[f47,f90])).
% 288.51/36.65 fof(f101992,plain,(
% 288.51/36.65 ![X0,X1,X2,X3,X4,X5]: (~member(X0,X1)|~partition(X2,X3)|~member(X4,X2)|~member(union(X1,X5),X2)|~member(X0,X4)|X4=union(X1,X5))),
% 288.51/36.65 inference(resolution,[status(thm)],[f46,f90])).
% 288.51/36.65 fof(f102051,plain,(
% 288.51/36.65 ![X0,X1]: (~subset(power_set(X0),X1)|member(empty_set,X1)|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f26,f31535])).
% 288.51/36.65 fof(f102064,plain,(
% 288.51/36.65 ![X0,X1]: (~subset(power_set(X0),X1)|member(X0,X1))),
% 288.51/36.65 inference(resolution,[status(thm)],[f26,f5401])).
% 288.51/36.65 fof(f102076,plain,(
% 288.51/36.65 ![X0,X1]: (~subset(product(empty_set),X0)|member(X1,X0)|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f26,f100753])).
% 288.51/36.65 fof(f102114,plain,(
% 288.51/36.65 ![X0,X1]: (member(empty_set,union(X0,power_set(X1)))|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f102051,f9836])).
% 288.51/36.65 fof(f102115,plain,(
% 288.51/36.65 ![X0,X1]: (member(empty_set,union(power_set(X0),X1))|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f102051,f9811])).
% 288.51/36.65 fof(f102213,plain,(
% 288.51/36.65 ![X0]: (member(X0,unaryUnion(sum(product(empty_set))))|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f102076,f100533])).
% 288.51/36.65 fof(f102222,plain,(
% 288.51/36.65 ![X0]: (member(X0,sum(sum(product(empty_set))))|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f102076,f21212])).
% 288.51/36.65 fof(f102254,plain,(
% 288.51/36.65 spl0_1497 <=> member(unaryUnion(sum(product(empty_set))),unaryUnion(sum(product(empty_set))))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f102256,plain,(
% 288.51/36.65 ~member(unaryUnion(sum(product(empty_set))),unaryUnion(sum(product(empty_set))))|spl0_1497),
% 288.51/36.65 inference(component_clause,[status(thm)],[f102254])).
% 288.51/36.65 fof(f102278,plain,(
% 288.51/36.65 $false|~spl0_231|~spl0_167|spl0_1497),
% 288.51/36.65 inference(forward_subsumption_resolution,[status(thm)],[f102256,f102213])).
% 288.51/36.65 fof(f102279,plain,(
% 288.51/36.65 ~spl0_231|~spl0_167|spl0_1497),
% 288.51/36.65 inference(contradiction_clause,[status(thm)],[f102278])).
% 288.51/36.65 fof(f102598,plain,(
% 288.51/36.65 ![X0,X1]: (member(X0,unaryUnion(X1))|~member(power_set(X0),X1))),
% 288.51/36.65 inference(resolution,[status(thm)],[f102064,f29997])).
% 288.51/36.65 fof(f102607,plain,(
% 288.51/36.65 ![X0,X1]: (member(X0,sum(X1))|~member(power_set(X0),X1))),
% 288.51/36.65 inference(resolution,[status(thm)],[f102064,f19547])).
% 288.51/36.65 fof(f103659,plain,(
% 288.51/36.65 product(empty_set)=empty_set|~spl0_1476|~spl0_167),
% 288.51/36.65 inference(forward_demodulation,[status(thm)],[f100324,f73114])).
% 288.51/36.65 fof(f103660,plain,(
% 288.51/36.65 $false|spl0_174|~spl0_1476|~spl0_167),
% 288.51/36.65 inference(forward_subsumption_resolution,[status(thm)],[f103659,f7951])).
% 288.51/36.65 fof(f103661,plain,(
% 288.51/36.65 spl0_174|~spl0_1476|~spl0_167),
% 288.51/36.65 inference(contradiction_clause,[status(thm)],[f103660])).
% 288.51/36.65 fof(f103662,plain,(
% 288.51/36.65 spl0_1505 <=> member(X0,product(sk0_16(empty_set,singleton(power_set(empty_set)))))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f103665,plain,(
% 288.51/36.65 ![X0]: (empty_set=unaryUnion(singleton(power_set(empty_set)))|member(X0,product(sk0_16(empty_set,singleton(power_set(empty_set)))))|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f90626,f100758])).
% 288.51/36.65 fof(f103666,plain,(
% 288.51/36.65 spl0_242|spl0_1505|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f103665,f13210,f103662,f12505,f7695])).
% 288.51/36.65 fof(f103667,plain,(
% 288.51/36.65 spl0_1506 <=> empty_set=unaryUnion(sk0_16(empty_set,singleton(power_set(empty_set))))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f103670,plain,(
% 288.51/36.65 empty_set=unaryUnion(singleton(power_set(empty_set)))|empty_set=unaryUnion(sk0_16(empty_set,singleton(power_set(empty_set))))|~spl0_231|~spl0_167),
% 288.51/36.65 inference(resolution,[status(thm)],[f90626,f100090])).
% 288.51/36.65 fof(f103671,plain,(
% 288.51/36.65 spl0_242|spl0_1506|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f103670,f13210,f103667,f12505,f7695])).
% 288.51/36.65 fof(f103672,plain,(
% 288.51/36.65 spl0_1507 <=> partition(empty_set,sk0_16(empty_set,singleton(power_set(empty_set))))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f103675,plain,(
% 288.51/36.65 empty_set=unaryUnion(singleton(power_set(empty_set)))|partition(empty_set,sk0_16(empty_set,singleton(power_set(empty_set))))|~spl0_231|~spl0_167),
% 288.51/36.65 inference(resolution,[status(thm)],[f90626,f99731])).
% 288.51/36.65 fof(f103676,plain,(
% 288.51/36.65 spl0_242|spl0_1507|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f103675,f13210,f103672,f12505,f7695])).
% 288.51/36.65 fof(f103677,plain,(
% 288.51/36.65 empty_set=unaryUnion(singleton(power_set(empty_set)))|sk0_16(empty_set,singleton(power_set(empty_set)))=empty_set|~spl0_231|~spl0_167),
% 288.51/36.65 inference(resolution,[status(thm)],[f90626,f99045])).
% 288.51/36.65 fof(f103678,plain,(
% 288.51/36.65 spl0_242|spl0_448|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f103677,f13210,f20159,f12505,f7695])).
% 288.51/36.65 fof(f103679,plain,(
% 288.51/36.65 spl0_1508 <=> subset(sk0_16(empty_set,singleton(power_set(empty_set))),X0)),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f103682,plain,(
% 288.51/36.65 ![X0]: (empty_set=unaryUnion(singleton(power_set(empty_set)))|subset(sk0_16(empty_set,singleton(power_set(empty_set))),X0)|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f90626,f43043])).
% 288.51/36.65 fof(f103683,plain,(
% 288.51/36.65 spl0_242|spl0_1508|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f103682,f13210,f103679,f12505,f7695])).
% 288.51/36.65 fof(f103964,plain,(
% 288.51/36.65 spl0_1513 <=> empty_set=unaryUnion(singleton(union(empty_set,empty_set)))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f103967,plain,(
% 288.51/36.65 member(sk0_16(empty_set,singleton(empty_set)),empty_set)|empty_set=unaryUnion(singleton(union(empty_set,empty_set)))|~spl0_231|~spl0_167),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f11093,f90703])).
% 288.51/36.65 fof(f103968,plain,(
% 288.51/36.65 spl0_805|spl0_1513|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f103967,f49923,f103964,f12505,f7695])).
% 288.51/36.65 fof(f104309,plain,(
% 288.51/36.65 spl0_1519 <=> empty_set=unaryUnion(singleton(difference(empty_set,X0)))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f104312,plain,(
% 288.51/36.65 ![X0]: (member(sk0_16(empty_set,singleton(empty_set)),empty_set)|empty_set=unaryUnion(singleton(difference(empty_set,X0)))|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f10604,f91296])).
% 288.51/36.65 fof(f104313,plain,(
% 288.51/36.65 spl0_805|spl0_1519|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f104312,f49923,f104309,f12505,f7695])).
% 288.51/36.65 fof(f104667,plain,(
% 288.51/36.65 ![X0]: (partition(X0,empty_set)|member(sk0_5(empty_set,X0),X0)|~pd0_0(X0,empty_set)|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f92,f98667])).
% 288.51/36.65 fof(f104668,plain,(
% 288.51/36.65 ![X0]: (partition(X0,empty_set)|~pd0_0(X0,empty_set)|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(forward_subsumption_resolution,[status(thm)],[f104667,f93708])).
% 288.51/36.65 fof(f104736,plain,(
% 288.51/36.65 ![X0]: (partition(X0,empty_set)|~subset(X0,empty_set)|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f104668,f99685])).
% 288.51/36.65 fof(f104739,plain,(
% 288.51/36.65 spl0_1523 <=> partition(sk0_16(empty_set,singleton(power_set(empty_set))),empty_set)),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f104742,plain,(
% 288.51/36.65 partition(sk0_16(empty_set,singleton(power_set(empty_set))),empty_set)|empty_set=unaryUnion(singleton(power_set(empty_set)))|~spl0_231|~spl0_167),
% 288.51/36.65 inference(resolution,[status(thm)],[f104736,f90626])).
% 288.51/36.65 fof(f104743,plain,(
% 288.51/36.65 spl0_1523|spl0_242|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f104742,f104739,f13210,f12505,f7695])).
% 288.51/36.65 fof(f104805,plain,(
% 288.51/36.65 ![X0,X1]: (~member(empty_set,union(X0,power_set(X1)))|~spl0_279)),
% 288.51/36.65 inference(resolution,[status(thm)],[f13922,f101192])).
% 288.51/36.65 fof(f104806,plain,(
% 288.51/36.65 spl0_595|~spl0_279),
% 288.51/36.65 inference(split_clause,[status(thm)],[f104805,f26181,f13921])).
% 288.51/36.65 fof(f104807,plain,(
% 288.51/36.65 ![X0,X1]: (~member(empty_set,union(power_set(X0),X1))|~spl0_283)),
% 288.51/36.65 inference(resolution,[status(thm)],[f14103,f101192])).
% 288.51/36.65 fof(f104808,plain,(
% 288.51/36.65 spl0_593|~spl0_283),
% 288.51/36.65 inference(split_clause,[status(thm)],[f104807,f26159,f14102])).
% 288.51/36.65 fof(f104884,plain,(
% 288.51/36.65 spl0_1531 <=> empty_set=unaryUnion(singleton(intersection(X0,empty_set)))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f104887,plain,(
% 288.51/36.65 ![X0]: (member(sk0_16(empty_set,singleton(empty_set)),empty_set)|empty_set=unaryUnion(singleton(intersection(X0,empty_set)))|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f9679,f91314])).
% 288.51/36.65 fof(f104888,plain,(
% 288.51/36.65 spl0_805|spl0_1531|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f104887,f49923,f104884,f12505,f7695])).
% 288.51/36.65 fof(f105428,plain,(
% 288.51/36.65 spl0_1532 <=> X1=unaryUnion(empty_set)|member(sk0_16(X1,empty_set),X1)|~member(X2,empty_set)|~member(X3,X2)|~member(X3,sk0_17(X1,empty_set))|X2=sk0_17(X1,empty_set)),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f105431,plain,(
% 288.51/36.65 ![X0,X1,X2,X3]: (~member(empty_set,X0)|X1=unaryUnion(empty_set)|member(sk0_16(X1,empty_set),X1)|~member(X2,empty_set)|~member(X3,X2)|~member(X3,sk0_17(X1,empty_set))|X2=sk0_17(X1,empty_set))),
% 288.51/36.65 inference(resolution,[status(thm)],[f29854,f97241])).
% 288.51/36.65 fof(f105432,plain,(
% 288.51/36.65 spl0_672|spl0_1532),
% 288.51/36.65 inference(split_clause,[status(thm)],[f105431,f30824,f105428])).
% 288.51/36.65 fof(f105433,plain,(
% 288.51/36.65 spl0_1533 <=> X1=unaryUnion(X2)|member(sk0_16(X1,X2),X1)|~member(X3,empty_set)|~member(X2,empty_set)|~member(sk0_17(X1,X2),X3)|X3=X2),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f105436,plain,(
% 288.51/36.65 ![X0,X1,X2,X3]: (~member(empty_set,X0)|X1=unaryUnion(X2)|member(sk0_16(X1,X2),X1)|~member(X3,empty_set)|~member(X2,empty_set)|~member(sk0_17(X1,X2),X3)|X3=X2)),
% 288.51/36.65 inference(resolution,[status(thm)],[f29854,f97237])).
% 288.51/36.65 fof(f105437,plain,(
% 288.51/36.65 spl0_672|spl0_1533),
% 288.51/36.65 inference(split_clause,[status(thm)],[f105436,f30824,f105433])).
% 288.51/36.65 fof(f105438,plain,(
% 288.51/36.65 spl0_1534 <=> empty_set=unaryUnion(X1)|member(sk0_17(empty_set,X1),X1)|~member(X2,empty_set)|~member(X3,X2)|~member(X3,sk0_16(empty_set,X1))|X2=sk0_16(empty_set,X1)),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f105441,plain,(
% 288.51/36.65 ![X0,X1,X2,X3]: (~member(empty_set,X0)|empty_set=unaryUnion(X1)|member(sk0_17(empty_set,X1),X1)|~member(X2,empty_set)|~member(X3,X2)|~member(X3,sk0_16(empty_set,X1))|X2=sk0_16(empty_set,X1))),
% 288.51/36.65 inference(resolution,[status(thm)],[f29854,f97227])).
% 288.51/36.65 fof(f105442,plain,(
% 288.51/36.65 spl0_672|spl0_1534),
% 288.51/36.65 inference(split_clause,[status(thm)],[f105441,f30824,f105438])).
% 288.51/36.65 fof(f105445,plain,(
% 288.51/36.65 spl0_1535 <=> X1=unaryUnion(X2)|member(sk0_17(X1,X2),X2)|~member(X3,empty_set)|~member(X1,empty_set)|~member(sk0_16(X1,X2),X3)|X3=X1),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f105448,plain,(
% 288.51/36.65 ![X0,X1,X2,X3]: (~member(empty_set,X0)|X1=unaryUnion(X2)|member(sk0_17(X1,X2),X2)|~member(X3,empty_set)|~member(X1,empty_set)|~member(sk0_16(X1,X2),X3)|X3=X1)),
% 288.51/36.65 inference(resolution,[status(thm)],[f29854,f97223])).
% 288.51/36.65 fof(f105449,plain,(
% 288.51/36.65 spl0_672|spl0_1535),
% 288.51/36.65 inference(split_clause,[status(thm)],[f105448,f30824,f105445])).
% 288.51/36.65 fof(f105450,plain,(
% 288.51/36.65 spl0_1536 <=> ~member(X1,empty_set)|~member(unordered_pair(X2,X3),empty_set)|~member(X3,X1)|X1=unordered_pair(X2,X3)),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f105453,plain,(
% 288.51/36.65 ![X0,X1,X2,X3]: (~member(empty_set,X0)|~member(X1,empty_set)|~member(unordered_pair(X2,X3),empty_set)|~member(X3,X1)|X1=unordered_pair(X2,X3))),
% 288.51/36.65 inference(resolution,[status(thm)],[f29854,f97122])).
% 288.51/36.65 fof(f105454,plain,(
% 288.51/36.65 spl0_672|spl0_1536),
% 288.51/36.65 inference(split_clause,[status(thm)],[f105453,f30824,f105450])).
% 288.51/36.65 fof(f105457,plain,(
% 288.51/36.65 spl0_1537 <=> ~member(X1,empty_set)|~member(unordered_pair(X2,X3),empty_set)|~member(X2,X1)|X1=unordered_pair(X2,X3)),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f105460,plain,(
% 288.51/36.65 ![X0,X1,X2,X3]: (~member(empty_set,X0)|~member(X1,empty_set)|~member(unordered_pair(X2,X3),empty_set)|~member(X2,X1)|X1=unordered_pair(X2,X3))),
% 288.51/36.65 inference(resolution,[status(thm)],[f29854,f97112])).
% 288.51/36.65 fof(f105461,plain,(
% 288.51/36.65 spl0_672|spl0_1537),
% 288.51/36.65 inference(split_clause,[status(thm)],[f105460,f30824,f105457])).
% 288.51/36.65 fof(f106074,plain,(
% 288.51/36.65 spl0_1539 <=> empty_set=unaryUnion(singleton(sk0_16(empty_set,singleton(power_set(empty_set)))))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f106077,plain,(
% 288.51/36.65 empty_set=unaryUnion(singleton(sk0_16(empty_set,singleton(power_set(empty_set)))))|empty_set=unaryUnion(singleton(power_set(empty_set)))|~spl0_231|~spl0_167),
% 288.51/36.65 inference(resolution,[status(thm)],[f97833,f90626])).
% 288.51/36.65 fof(f106078,plain,(
% 288.51/36.65 spl0_1539|spl0_242|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f106077,f106074,f13210,f12505,f7695])).
% 288.51/36.65 fof(f106171,plain,(
% 288.51/36.65 spl0_1541 <=> empty_set=unaryUnion(singleton(intersection(empty_set,X0)))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f106174,plain,(
% 288.51/36.65 ![X0]: (member(sk0_16(empty_set,singleton(empty_set)),empty_set)|empty_set=unaryUnion(singleton(intersection(empty_set,X0)))|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f9641,f91332])).
% 288.51/36.65 fof(f106175,plain,(
% 288.51/36.65 spl0_805|spl0_1541|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f106174,f49923,f106171,f12505,f7695])).
% 288.51/36.65 fof(f106904,plain,(
% 288.51/36.65 ![X0]: (sk0_0(empty_set,singleton(X0))=X0|~pd0_0(empty_set,empty_set)|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f99620,f98667])).
% 288.51/36.65 fof(f106905,plain,(
% 288.51/36.65 spl0_1288|~spl0_653|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f106904,f88310,f29862,f12505,f7695])).
% 288.51/36.65 fof(f106914,plain,(
% 288.51/36.65 spl0_1542 <=> sk0_2(singleton(empty_set),X0)=empty_set),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f106917,plain,(
% 288.51/36.65 ![X0]: (sk0_2(singleton(empty_set),X0)=empty_set|~pd0_0(empty_set,empty_set)|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f99663,f98667])).
% 288.51/36.65 fof(f106918,plain,(
% 288.51/36.65 spl0_1542|~spl0_653|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f106917,f106914,f29862,f12505,f7695])).
% 288.51/36.65 fof(f107211,plain,(
% 288.51/36.65 ![X0,X1]: (member(X0,empty_set)|~member(X0,X1)|member(X0,empty_set)|~spl0_1448|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f101433,f53])).
% 288.51/36.65 fof(f107212,plain,(
% 288.51/36.65 ![X0,X1]: (member(X0,empty_set)|~member(X0,X1)|~spl0_1448|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(duplicate_literals_removal,[status(esa)],[f107211])).
% 288.51/36.65 fof(f107213,plain,(
% 288.51/36.65 ![X0,X1]: (~member(X0,X1)|~spl0_1448|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(forward_subsumption_resolution,[status(thm)],[f107212,f89782])).
% 288.51/36.65 fof(f107252,plain,(
% 288.51/36.65 $false|~spl0_1448|~spl0_231|~spl0_167),
% 288.51/36.65 inference(backward_subsumption_resolution,[status(thm)],[f29165,f107213])).
% 288.51/36.65 fof(f107253,plain,(
% 288.51/36.65 ~spl0_1448|~spl0_231|~spl0_167),
% 288.51/36.65 inference(contradiction_clause,[status(thm)],[f107252])).
% 288.51/36.65 fof(f107315,plain,(
% 288.51/36.65 ![X0]: (~disjoint(sum(product(empty_set)),power_set(X0))|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f21049,f101178])).
% 288.51/36.65 fof(f107947,plain,(
% 288.51/36.65 spl0_1545 <=> member(sum(sum(product(empty_set))),sum(sum(product(empty_set))))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f107949,plain,(
% 288.51/36.65 ~member(sum(sum(product(empty_set))),sum(sum(product(empty_set))))|spl0_1545),
% 288.51/36.65 inference(component_clause,[status(thm)],[f107947])).
% 288.51/36.65 fof(f107969,plain,(
% 288.51/36.65 $false|~spl0_231|~spl0_167|spl0_1545),
% 288.51/36.65 inference(forward_subsumption_resolution,[status(thm)],[f107949,f102222])).
% 288.51/36.65 fof(f107970,plain,(
% 288.51/36.65 ~spl0_231|~spl0_167|spl0_1545),
% 288.51/36.65 inference(contradiction_clause,[status(thm)],[f107969])).
% 288.51/36.65 fof(f109115,plain,(
% 288.51/36.65 ![X0]: (sk0_3(singleton(empty_set),power_set(X0))=empty_set|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f1146,f31535])).
% 288.51/36.65 fof(f109479,plain,(
% 288.51/36.65 ![X0,X1]: (subset(X0,X1)|~disjoint(X0,product(empty_set))|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f27,f101193])).
% 288.51/36.65 fof(f109800,plain,(
% 288.51/36.65 spl0_1548 <=> disjoint(X0,X1)),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f109801,plain,(
% 288.51/36.65 ![X0,X1]: (disjoint(X0,X1)|~spl0_1548)),
% 288.51/36.65 inference(component_clause,[status(thm)],[f109800])).
% 288.51/36.65 fof(f109815,plain,(
% 288.51/36.65 $false|~spl0_1548|~spl0_167),
% 288.51/36.65 inference(backward_subsumption_resolution,[status(thm)],[f107315,f109801])).
% 288.51/36.65 fof(f109816,plain,(
% 288.51/36.65 ~spl0_1548|~spl0_167),
% 288.51/36.65 inference(contradiction_clause,[status(thm)],[f109815])).
% 288.51/36.65 fof(f110705,plain,(
% 288.51/36.65 spl0_1550 <=> sk0_16(empty_set,singleton(product(empty_set)))=sk0_16(empty_set,singleton(product(empty_set)))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f110708,plain,(
% 288.51/36.65 sk0_16(empty_set,singleton(product(empty_set)))=sk0_16(empty_set,singleton(product(empty_set)))|empty_set=unaryUnion(singleton(product(empty_set)))|~spl0_231|~spl0_167),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f1416,f92536])).
% 288.51/36.65 fof(f110709,plain,(
% 288.51/36.65 spl0_1550|spl0_1476|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f110708,f110705,f100323,f12505,f7695])).
% 288.51/36.65 fof(f110949,plain,(
% 288.51/36.65 spl0_1551 <=> member(sk0_16(empty_set,singleton(empty_set)),power_set(product(empty_set)))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f110951,plain,(
% 288.51/36.65 ~member(sk0_16(empty_set,singleton(empty_set)),power_set(product(empty_set)))|spl0_1551),
% 288.51/36.65 inference(component_clause,[status(thm)],[f110949])).
% 288.51/36.65 fof(f110952,plain,(
% 288.51/36.65 spl0_1552 <=> empty_set=unaryUnion(singleton(difference(X0,power_set(product(empty_set)))))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f110955,plain,(
% 288.51/36.65 ![X0]: (~member(sk0_16(empty_set,singleton(empty_set)),power_set(product(empty_set)))|empty_set=unaryUnion(singleton(difference(X0,power_set(product(empty_set)))))|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f10499,f92659])).
% 288.51/36.65 fof(f110956,plain,(
% 288.51/36.65 ~spl0_1551|spl0_1552|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f110955,f110949,f110952,f12505,f7695])).
% 288.51/36.65 fof(f110957,plain,(
% 288.51/36.65 spl0_1553 <=> member(sk0_16(empty_set,singleton(empty_set)),sum(product(empty_set)))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f110959,plain,(
% 288.51/36.65 ~member(sk0_16(empty_set,singleton(empty_set)),sum(product(empty_set)))|spl0_1553),
% 288.51/36.65 inference(component_clause,[status(thm)],[f110957])).
% 288.51/36.65 fof(f110960,plain,(
% 288.51/36.65 spl0_1554 <=> empty_set=unaryUnion(singleton(difference(X0,sum(product(empty_set)))))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f110963,plain,(
% 288.51/36.65 ![X0]: (~member(sk0_16(empty_set,singleton(empty_set)),sum(product(empty_set)))|empty_set=unaryUnion(singleton(difference(X0,sum(product(empty_set)))))|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f23046,f92659])).
% 288.51/36.65 fof(f110964,plain,(
% 288.51/36.65 ~spl0_1553|spl0_1554|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f110963,f110957,f110960,f12505,f7695])).
% 288.51/36.65 fof(f110965,plain,(
% 288.51/36.65 spl0_1555 <=> member(sk0_16(empty_set,singleton(empty_set)),product(empty_set))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f110967,plain,(
% 288.51/36.65 ~member(sk0_16(empty_set,singleton(empty_set)),product(empty_set))|spl0_1555),
% 288.51/36.65 inference(component_clause,[status(thm)],[f110965])).
% 288.51/36.65 fof(f110968,plain,(
% 288.51/36.65 spl0_1556 <=> empty_set=unaryUnion(singleton(difference(X0,product(empty_set))))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f110971,plain,(
% 288.51/36.65 ![X0]: (~member(sk0_16(empty_set,singleton(empty_set)),product(empty_set))|empty_set=unaryUnion(singleton(difference(X0,product(empty_set))))|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f10379,f92659])).
% 288.51/36.65 fof(f110972,plain,(
% 288.51/36.65 ~spl0_1555|spl0_1556|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f110971,f110965,f110968,f12505,f7695])).
% 288.51/36.65 fof(f110975,plain,(
% 288.51/36.65 $false|spl0_1551),
% 288.51/36.65 inference(forward_subsumption_resolution,[status(thm)],[f110951,f14924])).
% 288.51/36.65 fof(f110976,plain,(
% 288.51/36.65 spl0_1551),
% 288.51/36.65 inference(contradiction_clause,[status(thm)],[f110975])).
% 288.51/36.65 fof(f110977,plain,(
% 288.51/36.65 $false|spl0_1553),
% 288.51/36.65 inference(forward_subsumption_resolution,[status(thm)],[f110959,f21049])).
% 288.51/36.65 fof(f110978,plain,(
% 288.51/36.65 spl0_1553),
% 288.51/36.65 inference(contradiction_clause,[status(thm)],[f110977])).
% 288.51/36.65 fof(f110979,plain,(
% 288.51/36.65 $false|~spl0_231|~spl0_167|spl0_1555),
% 288.51/36.65 inference(forward_subsumption_resolution,[status(thm)],[f110967,f100753])).
% 288.51/36.65 fof(f110980,plain,(
% 288.51/36.65 ~spl0_231|~spl0_167|spl0_1555),
% 288.51/36.65 inference(contradiction_clause,[status(thm)],[f110979])).
% 288.51/36.65 fof(f111104,plain,(
% 288.51/36.65 spl0_1557 <=> sk0_16(empty_set,singleton(power_set(product(empty_set))))=sk0_16(empty_set,singleton(power_set(product(empty_set))))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f111107,plain,(
% 288.51/36.65 spl0_1558 <=> empty_set=unaryUnion(singleton(power_set(product(empty_set))))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f111108,plain,(
% 288.51/36.65 empty_set=unaryUnion(singleton(power_set(product(empty_set))))|~spl0_1558),
% 288.51/36.65 inference(component_clause,[status(thm)],[f111107])).
% 288.51/36.65 fof(f111110,plain,(
% 288.51/36.65 sk0_16(empty_set,singleton(power_set(product(empty_set))))=sk0_16(empty_set,singleton(power_set(product(empty_set))))|empty_set=unaryUnion(singleton(power_set(product(empty_set))))|~spl0_231|~spl0_167),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f92536,f99435])).
% 288.51/36.65 fof(f111111,plain,(
% 288.51/36.65 spl0_1557|spl0_1558|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f111110,f111104,f111107,f12505,f7695])).
% 288.51/36.65 fof(f111310,plain,(
% 288.51/36.65 ![X0]: (~member(empty_set,X0)|member(empty_set,empty_set)|~spl0_1466)),
% 288.51/36.65 inference(resolution,[status(thm)],[f53,f98929])).
% 288.51/36.65 fof(f111311,plain,(
% 288.51/36.65 spl0_672|spl0_187|~spl0_1466),
% 288.51/36.65 inference(split_clause,[status(thm)],[f111310,f30824,f8703,f98928])).
% 288.51/36.65 fof(f112114,plain,(
% 288.51/36.65 spl0_1562 <=> empty_set=unaryUnion(singleton(equivalence_class(X0,empty_set,X1)))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f112117,plain,(
% 288.51/36.65 ![X0,X1]: (member(sk0_16(empty_set,singleton(empty_set)),empty_set)|empty_set=unaryUnion(singleton(equivalence_class(X0,empty_set,X1)))|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f16992,f93445])).
% 288.51/36.65 fof(f112118,plain,(
% 288.51/36.65 spl0_805|spl0_1562|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f112117,f49923,f112114,f12505,f7695])).
% 288.51/36.65 fof(f112580,plain,(
% 288.51/36.65 ![X0]: (member(X0,unaryUnion(singleton(power_set(X0)))))),
% 288.51/36.65 inference(resolution,[status(thm)],[f102598,f179])).
% 288.51/36.65 fof(f112602,plain,(
% 288.51/36.65 ![X0]: (member(X0,unaryUnion(power_set(power_set(X0)))))),
% 288.51/36.65 inference(resolution,[status(thm)],[f102598,f5401])).
% 288.51/36.65 fof(f112631,plain,(
% 288.51/36.65 product(unaryUnion(singleton(power_set(empty_set))))=empty_set),
% 288.51/36.65 inference(resolution,[status(thm)],[f112580,f28358])).
% 288.51/36.65 fof(f112638,plain,(
% 288.51/36.65 ![X0]: (~pd0_0(unaryUnion(singleton(power_set(X0))),empty_set)|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f112580,f93708])).
% 288.51/36.65 fof(f112647,plain,(
% 288.51/36.65 product(unaryUnion(power_set(power_set(empty_set))))=empty_set),
% 288.51/36.65 inference(resolution,[status(thm)],[f112602,f28358])).
% 288.51/36.65 fof(f112706,plain,(
% 288.51/36.65 ![X0]: (member(X0,sum(singleton(power_set(X0)))))),
% 288.51/36.65 inference(resolution,[status(thm)],[f102607,f179])).
% 288.51/36.65 fof(f112727,plain,(
% 288.51/36.65 ![X0]: (member(X0,sum(power_set(power_set(X0)))))),
% 288.51/36.65 inference(resolution,[status(thm)],[f102607,f5401])).
% 288.51/36.65 fof(f112755,plain,(
% 288.51/36.65 product(sum(singleton(power_set(empty_set))))=empty_set),
% 288.51/36.65 inference(resolution,[status(thm)],[f112706,f28358])).
% 288.51/36.65 fof(f112770,plain,(
% 288.51/36.65 product(sum(power_set(power_set(empty_set))))=empty_set),
% 288.51/36.65 inference(resolution,[status(thm)],[f112727,f28358])).
% 288.51/36.65 fof(f112881,plain,(
% 288.51/36.65 ![X0,X1]: (~member(X0,product(singleton(X1)))|member(X0,X1))),
% 288.51/36.65 inference(resolution,[status(thm)],[f26,f90584])).
% 288.51/36.65 fof(f112926,plain,(
% 288.51/36.65 ![X0]: (~partition(empty_set,unaryUnion(singleton(power_set(X0))))|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f112638,f89])).
% 288.51/36.65 fof(f113148,plain,(
% 288.51/36.65 ![X0,X1,X2]: (~member(X0,X1)|~member(X1,X2)|member(X1,empty_set)|~spl0_1434)),
% 288.51/36.65 inference(resolution,[status(thm)],[f98119,f53])).
% 288.51/36.65 fof(f113149,plain,(
% 288.51/36.65 ![X0,X1,X2]: (~member(X0,X1)|~member(X1,X2)|~spl0_231|~spl0_167|~spl0_1434)),
% 288.51/36.65 inference(forward_subsumption_resolution,[status(thm)],[f113148,f89782])).
% 288.51/36.65 fof(f113189,plain,(
% 288.51/36.65 ![X0,X1]: (~member(X0,X1)|~spl0_231|~spl0_167|~spl0_1434)),
% 288.51/36.65 inference(resolution,[status(thm)],[f113149,f100479])).
% 288.51/36.65 fof(f113190,plain,(
% 288.51/36.65 spl0_27|~spl0_231|~spl0_167|~spl0_1434),
% 288.51/36.65 inference(split_clause,[status(thm)],[f113189,f2359,f12505,f7695,f96619])).
% 288.51/36.65 fof(f113393,plain,(
% 288.51/36.65 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,empty_set)|~spl0_1449)),
% 288.51/36.65 inference(resolution,[status(thm)],[f96766,f53])).
% 288.51/36.65 fof(f113394,plain,(
% 288.51/36.65 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|~spl0_231|~spl0_167|~spl0_1449)),
% 288.51/36.65 inference(forward_subsumption_resolution,[status(thm)],[f113393,f89782])).
% 288.51/36.65 fof(f113416,plain,(
% 288.51/36.65 ![X0,X1]: (~member(X0,X1)|~spl0_231|~spl0_167|~spl0_1449)),
% 288.51/36.65 inference(backward_subsumption_resolution,[status(thm)],[f47,f113394])).
% 288.51/36.65 fof(f113417,plain,(
% 288.51/36.65 spl0_27|~spl0_231|~spl0_167|~spl0_1449),
% 288.51/36.65 inference(split_clause,[status(thm)],[f113416,f2359,f12505,f7695,f96718])).
% 288.51/36.65 fof(f114777,plain,(
% 288.51/36.65 spl0_1566 <=> pd0_0(X0,singleton(empty_set))|~member(sk0_21(X0,singleton(empty_set)),empty_set)|sk0_20(X0,singleton(empty_set))=empty_set),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f114780,plain,(
% 288.51/36.65 ![X0]: (pd0_0(X0,singleton(empty_set))|~member(sk0_21(X0,singleton(empty_set)),empty_set)|sk0_20(X0,singleton(empty_set))=empty_set|empty_set=unaryUnion(singleton(singleton(empty_set)))|~spl0_231|~spl0_167|~spl0_185)),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f8683,f93344])).
% 288.51/36.65 fof(f114781,plain,(
% 288.51/36.65 spl0_1566|spl0_184|~spl0_231|~spl0_167|~spl0_185),
% 288.51/36.65 inference(split_clause,[status(thm)],[f114780,f114777,f8592,f12505,f7695,f8595])).
% 288.51/36.65 fof(f114782,plain,(
% 288.51/36.65 spl0_1567 <=> sk0_3(singleton(empty_set),singleton(empty_set))=sk0_16(empty_set,singleton(singleton(empty_set)))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f114785,plain,(
% 288.51/36.65 sk0_3(singleton(empty_set),singleton(empty_set))=sk0_16(empty_set,singleton(singleton(empty_set)))|empty_set=unaryUnion(singleton(singleton(empty_set)))|~spl0_231|~spl0_167|~spl0_185),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f8683,f92749])).
% 288.51/36.65 fof(f114786,plain,(
% 288.51/36.65 spl0_1567|spl0_184|~spl0_231|~spl0_167|~spl0_185),
% 288.51/36.65 inference(split_clause,[status(thm)],[f114785,f114782,f8592,f12505,f7695,f8595])).
% 288.51/36.65 fof(f114802,plain,(
% 288.51/36.65 spl0_1568 <=> sk0_3(singleton(empty_set),power_set(empty_set))=sk0_16(empty_set,singleton(power_set(empty_set)))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f114805,plain,(
% 288.51/36.65 sk0_3(singleton(empty_set),power_set(empty_set))=sk0_16(empty_set,singleton(power_set(empty_set)))|empty_set=unaryUnion(singleton(power_set(empty_set)))|~spl0_231|~spl0_167|~spl0_448),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f20160,f92749])).
% 288.51/36.65 fof(f114806,plain,(
% 288.51/36.65 spl0_1568|spl0_242|~spl0_231|~spl0_167|~spl0_448),
% 288.51/36.65 inference(split_clause,[status(thm)],[f114805,f114802,f13210,f12505,f7695,f20159])).
% 288.51/36.65 fof(f114807,plain,(
% 288.51/36.65 spl0_1569 <=> sk0_3(power_set(empty_set),singleton(empty_set))=sk0_16(empty_set,singleton(power_set(empty_set)))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f114810,plain,(
% 288.51/36.65 sk0_3(power_set(empty_set),singleton(empty_set))=sk0_16(empty_set,singleton(power_set(empty_set)))|empty_set=unaryUnion(singleton(power_set(empty_set)))|~spl0_231|~spl0_167|~spl0_448),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f20160,f92536])).
% 288.51/36.65 fof(f114811,plain,(
% 288.51/36.65 spl0_1569|spl0_242|~spl0_231|~spl0_167|~spl0_448),
% 288.51/36.65 inference(split_clause,[status(thm)],[f114810,f114807,f13210,f12505,f7695,f20159])).
% 288.51/36.65 fof(f114921,plain,(
% 288.51/36.65 spl0_1570 <=> ~member(singleton(X1),empty_set)|~member(X2,empty_set)|~member(X1,X2)|singleton(X1)=X2),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f114924,plain,(
% 288.51/36.65 ![X0,X1,X2]: (~member(empty_set,X0)|~member(singleton(X1),empty_set)|~member(X2,empty_set)|~member(X1,X2)|singleton(X1)=X2)),
% 288.51/36.65 inference(resolution,[status(thm)],[f29854,f100848])).
% 288.51/36.65 fof(f114925,plain,(
% 288.51/36.65 spl0_672|spl0_1570),
% 288.51/36.65 inference(split_clause,[status(thm)],[f114924,f30824,f114921])).
% 288.51/36.65 fof(f116036,plain,(
% 288.51/36.65 ~partition(empty_set,empty_set)|~spl0_231|~spl0_167|~spl0_1558),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f111108,f112926])).
% 288.51/36.65 fof(f116037,plain,(
% 288.51/36.65 $false|~spl0_114|~spl0_231|~spl0_167|~spl0_1558),
% 288.51/36.65 inference(forward_subsumption_resolution,[status(thm)],[f116036,f5920])).
% 288.51/36.65 fof(f116038,plain,(
% 288.51/36.65 ~spl0_114|~spl0_231|~spl0_167|~spl0_1558),
% 288.51/36.65 inference(contradiction_clause,[status(thm)],[f116037])).
% 288.51/36.65 fof(f116259,plain,(
% 288.51/36.65 spl0_1575 <=> ~pd0_0(X0,X1)|~member(X2,X0)|~member(X3,empty_set)|~member(X1,empty_set)|~member(sk0_19(X2,X0,X1),X3)|X3=X1),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f116262,plain,(
% 288.51/36.65 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1)|~member(X2,X0)|~member(X3,empty_set)|~member(X1,empty_set)|~member(sk0_19(X2,X0,X1),X3)|X3=X1|~member(empty_set,X4))),
% 288.51/36.65 inference(resolution,[status(thm)],[f101215,f29854])).
% 288.51/36.65 fof(f116263,plain,(
% 288.51/36.65 spl0_1575|spl0_672),
% 288.51/36.65 inference(split_clause,[status(thm)],[f116262,f116259,f30824])).
% 288.51/36.65 fof(f116495,plain,(
% 288.51/36.65 spl0_1576 <=> ~pd0_0(X0,empty_set)|~member(X1,X0)|~member(X2,empty_set)|~member(X3,X2)|~member(X3,sk0_19(X1,X0,empty_set))|X2=sk0_19(X1,X0,empty_set)),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f116498,plain,(
% 288.51/36.65 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,empty_set)|~member(X1,X0)|~member(X2,empty_set)|~member(X3,X2)|~member(X3,sk0_19(X1,X0,empty_set))|X2=sk0_19(X1,X0,empty_set)|~member(empty_set,X4))),
% 288.51/36.65 inference(resolution,[status(thm)],[f101219,f29854])).
% 288.51/36.65 fof(f116499,plain,(
% 288.51/36.65 spl0_1576|spl0_672),
% 288.51/36.65 inference(split_clause,[status(thm)],[f116498,f116495,f30824])).
% 288.51/36.65 fof(f116504,plain,(
% 288.51/36.65 spl0_1577 <=> ~subset(X0,X1)|~member(X2,empty_set)|~member(power_set(X1),empty_set)|~member(X0,X2)|X2=power_set(X1)),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f116507,plain,(
% 288.51/36.65 ![X0,X1,X2,X3]: (~subset(X0,X1)|~member(X2,empty_set)|~member(power_set(X1),empty_set)|~member(X0,X2)|X2=power_set(X1)|~member(empty_set,X3))),
% 288.51/36.65 inference(resolution,[status(thm)],[f101939,f29854])).
% 288.51/36.65 fof(f116508,plain,(
% 288.51/36.65 spl0_1577|spl0_672),
% 288.51/36.65 inference(split_clause,[status(thm)],[f116507,f116504,f30824])).
% 288.51/36.65 fof(f117129,plain,(
% 288.51/36.65 spl0_1578 <=> ~member(X0,X1)|~member(X2,empty_set)|~member(union(X3,X1),empty_set)|~member(X0,X2)|X2=union(X3,X1)),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f117132,plain,(
% 288.51/36.65 ![X0,X1,X2,X3,X4]: (~member(X0,X1)|~member(X2,empty_set)|~member(union(X3,X1),empty_set)|~member(X0,X2)|X2=union(X3,X1)|~member(empty_set,X4))),
% 288.51/36.65 inference(resolution,[status(thm)],[f101968,f29854])).
% 288.51/36.65 fof(f117133,plain,(
% 288.51/36.65 spl0_1578|spl0_672),
% 288.51/36.65 inference(split_clause,[status(thm)],[f117132,f117129,f30824])).
% 288.51/36.65 fof(f117562,plain,(
% 288.51/36.65 spl0_1579 <=> ~pd0_0(X0,empty_set)|~member(X1,X0)),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f117567,plain,(
% 288.51/36.65 ![X0,X1]: (~pd0_0(X0,empty_set)|~member(X1,X0)|~pd0_0(empty_set,empty_set)|~spl0_231|~spl0_167)),
% 288.51/36.65 inference(resolution,[status(thm)],[f101224,f98667])).
% 288.51/36.65 fof(f117568,plain,(
% 288.51/36.65 spl0_1579|~spl0_653|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f117567,f117562,f29862,f12505,f7695])).
% 288.51/36.65 fof(f117596,plain,(
% 288.51/36.65 spl0_1584 <=> subset(empty_set,sk0_16(unaryUnion(power_set(singleton(empty_set))),empty_set))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f117599,plain,(
% 288.51/36.65 unaryUnion(power_set(singleton(empty_set)))=empty_set|subset(empty_set,sk0_16(unaryUnion(power_set(singleton(empty_set))),empty_set))|~spl0_231|~spl0_167),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f31866,f101241])).
% 288.51/36.65 fof(f117600,plain,(
% 288.51/36.65 spl0_238|spl0_1584|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f117599,f12535,f117596,f12505,f7695])).
% 288.51/36.65 fof(f117601,plain,(
% 288.51/36.65 spl0_1585 <=> subset(empty_set,sk0_16(unaryUnion(singleton(singleton(empty_set))),empty_set))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f117604,plain,(
% 288.51/36.65 unaryUnion(singleton(singleton(empty_set)))=empty_set|subset(empty_set,sk0_16(unaryUnion(singleton(singleton(empty_set))),empty_set))|~spl0_231|~spl0_167),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f31151,f101241])).
% 288.51/36.65 fof(f117605,plain,(
% 288.51/36.65 spl0_184|spl0_1585|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f117604,f8592,f117601,f12505,f7695])).
% 288.51/36.65 fof(f117614,plain,(
% 288.51/36.65 spl0_1588 <=> subset(empty_set,sk0_16(singleton(empty_set),empty_set))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f117617,plain,(
% 288.51/36.65 singleton(empty_set)=empty_set|subset(empty_set,sk0_16(singleton(empty_set),empty_set))|~spl0_231|~spl0_167),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f28481,f101241])).
% 288.51/36.65 fof(f117618,plain,(
% 288.51/36.65 spl0_66|spl0_1588|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f117617,f3425,f117614,f12505,f7695])).
% 288.51/36.65 fof(f117631,plain,(
% 288.51/36.65 spl0_1589 <=> sum(singleton(singleton(empty_set)))=empty_set),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f117632,plain,(
% 288.51/36.65 sum(singleton(singleton(empty_set)))=empty_set|~spl0_1589),
% 288.51/36.65 inference(component_clause,[status(thm)],[f117631])).
% 288.51/36.65 fof(f117634,plain,(
% 288.51/36.65 spl0_1590 <=> subset(empty_set,sk0_16(sum(singleton(singleton(empty_set))),empty_set))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f117637,plain,(
% 288.51/36.65 sum(singleton(singleton(empty_set)))=empty_set|subset(empty_set,sk0_16(sum(singleton(singleton(empty_set))),empty_set))|~spl0_231|~spl0_167),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f101581,f101241])).
% 288.51/36.65 fof(f117638,plain,(
% 288.51/36.65 spl0_1589|spl0_1590|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f117637,f117631,f117634,f12505,f7695])).
% 288.51/36.65 fof(f117639,plain,(
% 288.51/36.65 spl0_1591 <=> sum(power_set(singleton(empty_set)))=empty_set),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f117640,plain,(
% 288.51/36.65 sum(power_set(singleton(empty_set)))=empty_set|~spl0_1591),
% 288.51/36.65 inference(component_clause,[status(thm)],[f117639])).
% 288.51/36.65 fof(f117642,plain,(
% 288.51/36.65 spl0_1592 <=> subset(empty_set,sk0_16(sum(power_set(singleton(empty_set))),empty_set))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f117645,plain,(
% 288.51/36.65 sum(power_set(singleton(empty_set)))=empty_set|subset(empty_set,sk0_16(sum(power_set(singleton(empty_set))),empty_set))|~spl0_231|~spl0_167),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f101565,f101241])).
% 288.51/36.65 fof(f117646,plain,(
% 288.51/36.65 spl0_1591|spl0_1592|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f117645,f117639,f117642,f12505,f7695])).
% 288.51/36.65 fof(f117647,plain,(
% 288.51/36.65 spl0_1593 <=> sum(power_set(product(empty_set)))=empty_set),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f117648,plain,(
% 288.51/36.65 sum(power_set(product(empty_set)))=empty_set|~spl0_1593),
% 288.51/36.65 inference(component_clause,[status(thm)],[f117647])).
% 288.51/36.65 fof(f117650,plain,(
% 288.51/36.65 spl0_1594 <=> subset(empty_set,sk0_16(sum(power_set(product(empty_set))),empty_set))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f117653,plain,(
% 288.51/36.65 sum(power_set(product(empty_set)))=empty_set|subset(empty_set,sk0_16(sum(power_set(product(empty_set))),empty_set))|~spl0_231|~spl0_167),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f28431,f101241])).
% 288.51/36.65 fof(f117654,plain,(
% 288.51/36.65 spl0_1593|spl0_1594|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f117653,f117647,f117650,f12505,f7695])).
% 288.51/36.65 fof(f117655,plain,(
% 288.51/36.65 spl0_1595 <=> sum(sum(product(empty_set)))=empty_set),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f117656,plain,(
% 288.51/36.65 sum(sum(product(empty_set)))=empty_set|~spl0_1595),
% 288.51/36.65 inference(component_clause,[status(thm)],[f117655])).
% 288.51/36.65 fof(f117658,plain,(
% 288.51/36.65 spl0_1596 <=> subset(empty_set,sk0_16(sum(sum(product(empty_set))),empty_set))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f117661,plain,(
% 288.51/36.65 sum(sum(product(empty_set)))=empty_set|subset(empty_set,sk0_16(sum(sum(product(empty_set))),empty_set))|~spl0_231|~spl0_167),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f28415,f101241])).
% 288.51/36.65 fof(f117662,plain,(
% 288.51/36.65 spl0_1595|spl0_1596|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f117661,f117655,f117658,f12505,f7695])).
% 288.51/36.65 fof(f117663,plain,(
% 288.51/36.65 spl0_1597 <=> subset(empty_set,sk0_16(sum(product(empty_set)),empty_set))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f117666,plain,(
% 288.51/36.65 sum(product(empty_set))=empty_set|subset(empty_set,sk0_16(sum(product(empty_set)),empty_set))|~spl0_231|~spl0_167),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f28433,f101241])).
% 288.51/36.65 fof(f117667,plain,(
% 288.51/36.65 spl0_1192|spl0_1597|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f117666,f82458,f117663,f12505,f7695])).
% 288.51/36.65 fof(f117670,plain,(
% 288.51/36.65 spl0_1598 <=> subset(empty_set,sk0_16(product(empty_set),empty_set))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f117673,plain,(
% 288.51/36.65 product(empty_set)=empty_set|subset(empty_set,sk0_16(product(empty_set),empty_set))|~spl0_231|~spl0_167),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f28479,f101241])).
% 288.51/36.65 fof(f117674,plain,(
% 288.51/36.65 spl0_174|spl0_1598|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f117673,f7949,f117670,f12505,f7695])).
% 288.51/36.65 fof(f117676,plain,(
% 288.51/36.65 spl0_1599 <=> subset(product(singleton(empty_set)),empty_set)),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f117755,plain,(
% 288.51/36.65 product(empty_set)=empty_set|~spl0_1589),
% 288.51/36.65 inference(backward_demodulation,[status(thm)],[f117632,f101581])).
% 288.51/36.65 fof(f117756,plain,(
% 288.51/36.65 spl0_174|~spl0_1589),
% 288.51/36.65 inference(split_clause,[status(thm)],[f117755,f7949,f117631])).
% 288.51/36.65 fof(f117762,plain,(
% 288.51/36.65 product(empty_set)=empty_set|~spl0_1591),
% 288.51/36.65 inference(backward_demodulation,[status(thm)],[f117640,f101565])).
% 288.51/36.65 fof(f117763,plain,(
% 288.51/36.65 spl0_174|~spl0_1591),
% 288.51/36.65 inference(split_clause,[status(thm)],[f117762,f7949,f117639])).
% 288.51/36.65 fof(f117825,plain,(
% 288.51/36.65 spl0_1601 <=> sk0_15(sk0_16(empty_set,singleton(product(empty_set))),unaryUnion(singleton(product(empty_set))),singleton(product(empty_set)))=product(empty_set)),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f117828,plain,(
% 288.51/36.65 spl0_1602 <=> empty_set=unaryUnion(singleton(unaryUnion(singleton(product(empty_set)))))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f117829,plain,(
% 288.51/36.65 empty_set=unaryUnion(singleton(unaryUnion(singleton(product(empty_set)))))|~spl0_1602),
% 288.51/36.65 inference(component_clause,[status(thm)],[f117828])).
% 288.51/36.65 fof(f117831,plain,(
% 288.51/36.65 sk0_15(sk0_16(empty_set,singleton(product(empty_set))),unaryUnion(singleton(product(empty_set))),singleton(product(empty_set)))=product(empty_set)|empty_set=unaryUnion(singleton(unaryUnion(singleton(product(empty_set)))))|~spl0_231|~spl0_167),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f73114,f95103])).
% 288.51/36.65 fof(f117832,plain,(
% 288.51/36.65 spl0_1601|spl0_1602|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f117831,f117825,f117828,f12505,f7695])).
% 288.51/36.65 fof(f117849,plain,(
% 288.51/36.65 spl0_1607 <=> sk0_15(sk0_16(empty_set,singleton(unaryUnion(singleton(product(empty_set))))),product(empty_set),singleton(product(empty_set)))=product(empty_set)),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f117852,plain,(
% 288.51/36.65 sk0_15(sk0_16(empty_set,singleton(unaryUnion(singleton(product(empty_set))))),product(empty_set),singleton(product(empty_set)))=product(empty_set)|empty_set=unaryUnion(singleton(unaryUnion(singleton(product(empty_set)))))|~spl0_231|~spl0_167),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f73114,f95103])).
% 288.51/36.65 fof(f117853,plain,(
% 288.51/36.65 spl0_1607|spl0_1602|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f117852,f117849,f117828,f12505,f7695])).
% 288.51/36.65 fof(f117864,plain,(
% 288.51/36.65 empty_set=unaryUnion(singleton(product(empty_set)))|~spl0_167|~spl0_1602),
% 288.51/36.65 inference(forward_demodulation,[status(thm)],[f73114,f117829])).
% 288.51/36.65 fof(f117865,plain,(
% 288.51/36.65 empty_set=product(empty_set)|~spl0_167|~spl0_1602),
% 288.51/36.65 inference(forward_demodulation,[status(thm)],[f73114,f117864])).
% 288.51/36.65 fof(f117866,plain,(
% 288.51/36.65 $false|spl0_174|~spl0_167|~spl0_1602),
% 288.51/36.65 inference(forward_subsumption_resolution,[status(thm)],[f117865,f7951])).
% 288.51/36.65 fof(f117867,plain,(
% 288.51/36.65 spl0_174|~spl0_167|~spl0_1602),
% 288.51/36.65 inference(contradiction_clause,[status(thm)],[f117866])).
% 288.51/36.65 fof(f118207,plain,(
% 288.51/36.65 spl0_1613 <=> ~member(X0,empty_set)|~member(X2,union(empty_set,empty_set))|~member(X3,X2)|~member(X3,X0)|X2=X0),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f118210,plain,(
% 288.51/36.65 spl0_1614 <=> ~partition(empty_set,X1)),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f118211,plain,(
% 288.51/36.65 ![X0]: (~partition(empty_set,X0)|~spl0_1614)),
% 288.51/36.65 inference(component_clause,[status(thm)],[f118210])).
% 288.51/36.65 fof(f118213,plain,(
% 288.51/36.65 ![X0,X1,X2,X3]: (~member(X0,empty_set)|~partition(empty_set,X1)|~member(X2,union(empty_set,empty_set))|~member(X3,X2)|~member(X3,X0)|X2=X0)),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f11093,f101970])).
% 288.51/36.65 fof(f118214,plain,(
% 288.51/36.65 spl0_1613|spl0_1614),
% 288.51/36.65 inference(split_clause,[status(thm)],[f118213,f118207,f118210])).
% 288.51/36.65 fof(f118219,plain,(
% 288.51/36.65 spl0_1615 <=> ~member(X0,X1)|~member(X2,empty_set)|~member(union(X1,X3),empty_set)|~member(X0,X2)|X2=union(X1,X3)),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f118222,plain,(
% 288.51/36.65 ![X0,X1,X2,X3,X4]: (~member(X0,X1)|~member(X2,empty_set)|~member(union(X1,X3),empty_set)|~member(X0,X2)|X2=union(X1,X3)|~member(empty_set,X4))),
% 288.51/36.65 inference(resolution,[status(thm)],[f101992,f29854])).
% 288.51/36.65 fof(f118223,plain,(
% 288.51/36.65 spl0_1615|spl0_672),
% 288.51/36.65 inference(split_clause,[status(thm)],[f118222,f118219,f30824])).
% 288.51/36.65 fof(f118237,plain,(
% 288.51/36.65 spl0_1616 <=> subset(empty_set,sk0_16(unaryUnion(singleton(power_set(empty_set))),empty_set))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f118240,plain,(
% 288.51/36.65 unaryUnion(singleton(power_set(empty_set)))=empty_set|subset(empty_set,sk0_16(unaryUnion(singleton(power_set(empty_set))),empty_set))|~spl0_231|~spl0_167),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f112631,f101241])).
% 288.51/36.65 fof(f118241,plain,(
% 288.51/36.65 spl0_242|spl0_1616|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f118240,f13210,f118237,f12505,f7695])).
% 288.51/36.65 fof(f118242,plain,(
% 288.51/36.65 spl0_1617 <=> member(empty_set,unaryUnion(singleton(power_set(empty_set))))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f118244,plain,(
% 288.51/36.65 ~member(empty_set,unaryUnion(singleton(power_set(empty_set))))|spl0_1617),
% 288.51/36.65 inference(component_clause,[status(thm)],[f118242])).
% 288.51/36.65 fof(f118262,plain,(
% 288.51/36.65 $false|spl0_1617),
% 288.51/36.65 inference(forward_subsumption_resolution,[status(thm)],[f118244,f112580])).
% 288.51/36.65 fof(f118263,plain,(
% 288.51/36.65 spl0_1617),
% 288.51/36.65 inference(contradiction_clause,[status(thm)],[f118262])).
% 288.51/36.65 fof(f118287,plain,(
% 288.51/36.65 spl0_1619 <=> member(empty_set,unaryUnion(power_set(power_set(empty_set))))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f118289,plain,(
% 288.51/36.65 ~member(empty_set,unaryUnion(power_set(power_set(empty_set))))|spl0_1619),
% 288.51/36.65 inference(component_clause,[status(thm)],[f118287])).
% 288.51/36.65 fof(f118307,plain,(
% 288.51/36.65 $false|spl0_1619),
% 288.51/36.65 inference(forward_subsumption_resolution,[status(thm)],[f118289,f112602])).
% 288.51/36.65 fof(f118308,plain,(
% 288.51/36.65 spl0_1619),
% 288.51/36.65 inference(contradiction_clause,[status(thm)],[f118307])).
% 288.51/36.65 fof(f118431,plain,(
% 288.51/36.65 $false|~spl0_1614|~spl0_114),
% 288.51/36.65 inference(backward_subsumption_resolution,[status(thm)],[f5920,f118211])).
% 288.51/36.65 fof(f118432,plain,(
% 288.51/36.65 ~spl0_1614|~spl0_114),
% 288.51/36.65 inference(contradiction_clause,[status(thm)],[f118431])).
% 288.51/36.65 fof(f118462,plain,(
% 288.51/36.65 ~pd0_0(empty_set,empty_set)|~spl0_1593|~spl0_231|~spl0_167),
% 288.51/36.65 inference(backward_demodulation,[status(thm)],[f117648,f98537])).
% 288.51/36.65 fof(f118463,plain,(
% 288.51/36.65 $false|~spl0_1593|~spl0_231|~spl0_167),
% 288.51/36.65 inference(forward_subsumption_resolution,[status(thm)],[f118462,f5567])).
% 288.51/36.65 fof(f118464,plain,(
% 288.51/36.65 ~spl0_1593|~spl0_231|~spl0_167),
% 288.51/36.65 inference(contradiction_clause,[status(thm)],[f118463])).
% 288.51/36.65 fof(f118469,plain,(
% 288.51/36.65 ~pd0_0(empty_set,empty_set)|~spl0_1595|~spl0_231|~spl0_167),
% 288.51/36.65 inference(backward_demodulation,[status(thm)],[f117656,f98516])).
% 288.51/36.65 fof(f118470,plain,(
% 288.51/36.65 $false|~spl0_1595|~spl0_231|~spl0_167),
% 288.51/36.65 inference(forward_subsumption_resolution,[status(thm)],[f118469,f5567])).
% 288.51/36.65 fof(f118471,plain,(
% 288.51/36.65 ~spl0_1595|~spl0_231|~spl0_167),
% 288.51/36.65 inference(contradiction_clause,[status(thm)],[f118470])).
% 288.51/36.65 fof(f118472,plain,(
% 288.51/36.65 ![X0]: (partition(singleton(X0),X0)|sk0_4(X0,singleton(X0))=X0|sk0_20(X0,singleton(X0))=X0|~spl0_231|~spl0_167|~spl0_114)),
% 288.51/36.65 inference(forward_subsumption_resolution,[status(thm)],[f95143,f96958])).
% 288.51/36.65 fof(f118473,plain,(
% 288.51/36.65 spl0_1620 <=> sk0_4(sk0_18,singleton(sk0_18))=sk0_18),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f118474,plain,(
% 288.51/36.65 sk0_4(sk0_18,singleton(sk0_18))=sk0_18|~spl0_1620),
% 288.51/36.65 inference(component_clause,[status(thm)],[f118473])).
% 288.51/36.65 fof(f118476,plain,(
% 288.51/36.65 spl0_1621 <=> sk0_20(sk0_18,singleton(sk0_18))=sk0_18),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f118477,plain,(
% 288.51/36.65 sk0_20(sk0_18,singleton(sk0_18))=sk0_18|~spl0_1621),
% 288.51/36.65 inference(component_clause,[status(thm)],[f118476])).
% 288.51/36.65 fof(f118479,plain,(
% 288.51/36.65 sk0_4(sk0_18,singleton(sk0_18))=sk0_18|sk0_20(sk0_18,singleton(sk0_18))=sk0_18|~spl0_231|~spl0_167|~spl0_114),
% 288.51/36.65 inference(resolution,[status(thm)],[f118472,f147])).
% 288.51/36.65 fof(f118480,plain,(
% 288.51/36.65 spl0_1620|spl0_1621|~spl0_231|~spl0_167|~spl0_114),
% 288.51/36.65 inference(split_clause,[status(thm)],[f118479,f118473,f118476,f12505,f7695,f5919])).
% 288.51/36.65 fof(f118626,plain,(
% 288.51/36.65 ![X0]: (member(X0,sum(power_set(product(empty_set)))))),
% 288.51/36.65 inference(resolution,[status(thm)],[f21184,f2779])).
% 288.51/36.65 fof(f118645,plain,(
% 288.51/36.65 ![X0]: (member(X0,sum(sum(product(empty_set)))))),
% 288.51/36.65 inference(resolution,[status(thm)],[f21212,f2779])).
% 288.51/36.65 fof(f118732,plain,(
% 288.51/36.65 spl0_1622 <=> sum(singleton(power_set(empty_set)))=empty_set),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f118733,plain,(
% 288.51/36.65 sum(singleton(power_set(empty_set)))=empty_set|~spl0_1622),
% 288.51/36.65 inference(component_clause,[status(thm)],[f118732])).
% 288.51/36.65 fof(f118735,plain,(
% 288.51/36.65 spl0_1623 <=> subset(empty_set,sk0_16(sum(singleton(power_set(empty_set))),empty_set))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f118738,plain,(
% 288.51/36.65 sum(singleton(power_set(empty_set)))=empty_set|subset(empty_set,sk0_16(sum(singleton(power_set(empty_set))),empty_set))|~spl0_231|~spl0_167),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f112755,f101241])).
% 288.51/36.65 fof(f118739,plain,(
% 288.51/36.65 spl0_1622|spl0_1623|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f118738,f118732,f118735,f12505,f7695])).
% 288.51/36.65 fof(f118740,plain,(
% 288.51/36.65 spl0_1624 <=> member(empty_set,sum(singleton(power_set(empty_set))))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f118742,plain,(
% 288.51/36.65 ~member(empty_set,sum(singleton(power_set(empty_set))))|spl0_1624),
% 288.51/36.65 inference(component_clause,[status(thm)],[f118740])).
% 288.51/36.65 fof(f118758,plain,(
% 288.51/36.65 $false|spl0_1624),
% 288.51/36.65 inference(forward_subsumption_resolution,[status(thm)],[f118742,f112706])).
% 288.51/36.65 fof(f118759,plain,(
% 288.51/36.65 spl0_1624),
% 288.51/36.65 inference(contradiction_clause,[status(thm)],[f118758])).
% 288.51/36.65 fof(f118784,plain,(
% 288.51/36.65 spl0_1625 <=> sum(power_set(power_set(empty_set)))=empty_set),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f118785,plain,(
% 288.51/36.65 sum(power_set(power_set(empty_set)))=empty_set|~spl0_1625),
% 288.51/36.65 inference(component_clause,[status(thm)],[f118784])).
% 288.51/36.65 fof(f118787,plain,(
% 288.51/36.65 spl0_1626 <=> subset(empty_set,sk0_16(sum(power_set(power_set(empty_set))),empty_set))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f118790,plain,(
% 288.51/36.65 sum(power_set(power_set(empty_set)))=empty_set|subset(empty_set,sk0_16(sum(power_set(power_set(empty_set))),empty_set))|~spl0_231|~spl0_167),
% 288.51/36.65 inference(paramodulation,[status(thm)],[f112770,f101241])).
% 288.51/36.65 fof(f118791,plain,(
% 288.51/36.65 spl0_1625|spl0_1626|~spl0_231|~spl0_167),
% 288.51/36.65 inference(split_clause,[status(thm)],[f118790,f118784,f118787,f12505,f7695])).
% 288.51/36.65 fof(f118792,plain,(
% 288.51/36.65 spl0_1627 <=> member(empty_set,sum(power_set(power_set(empty_set))))),
% 288.51/36.65 introduced(split_symbol_definition)).
% 288.51/36.65 fof(f118794,plain,(
% 288.51/36.65 ~member(empty_set,sum(power_set(power_set(empty_set))))|spl0_1627),
% 288.51/36.65 inference(component_clause,[status(thm)],[f118792])).
% 288.51/36.65 fof(f118810,plain,(
% 288.51/36.65 $false|spl0_1627),
% 288.51/36.65 inference(forward_subsumption_resolution,[status(thm)],[f118794,f112727])).
% 288.51/36.65 fof(f118811,plain,(
% 288.51/36.66 spl0_1627),
% 288.51/36.66 inference(contradiction_clause,[status(thm)],[f118810])).
% 288.51/36.66 fof(f118978,plain,(
% 288.51/36.66 spl0_1628 <=> partition(singleton(sk0_18),sk0_18)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f118979,plain,(
% 288.51/36.66 partition(singleton(sk0_18),sk0_18)|~spl0_1628),
% 288.51/36.66 inference(component_clause,[status(thm)],[f118978])).
% 288.51/36.66 fof(f118981,plain,(
% 288.51/36.66 spl0_1629 <=> pd0_0(sk0_18,singleton(sk0_18))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f118982,plain,(
% 288.51/36.66 pd0_0(sk0_18,singleton(sk0_18))|~spl0_1629),
% 288.51/36.66 inference(component_clause,[status(thm)],[f118981])).
% 288.51/36.66 fof(f118983,plain,(
% 288.51/36.66 ~pd0_0(sk0_18,singleton(sk0_18))|spl0_1629),
% 288.51/36.66 inference(component_clause,[status(thm)],[f118981])).
% 288.51/36.66 fof(f118984,plain,(
% 288.51/36.66 spl0_1630 <=> member(sk0_6(sk0_18,singleton(sk0_18)),sk0_18)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f118985,plain,(
% 288.51/36.66 member(sk0_6(sk0_18,singleton(sk0_18)),sk0_18)|~spl0_1630),
% 288.51/36.66 inference(component_clause,[status(thm)],[f118984])).
% 288.51/36.66 fof(f118986,plain,(
% 288.51/36.66 ~member(sk0_6(sk0_18,singleton(sk0_18)),sk0_18)|spl0_1630),
% 288.51/36.66 inference(component_clause,[status(thm)],[f118984])).
% 288.51/36.66 fof(f118987,plain,(
% 288.51/36.66 partition(singleton(sk0_18),sk0_18)|~pd0_0(sk0_18,singleton(sk0_18))|member(sk0_6(sk0_18,singleton(sk0_18)),sk0_18)|~spl0_1620),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f118474,f93])).
% 288.51/36.66 fof(f118988,plain,(
% 288.51/36.66 spl0_1628|~spl0_1629|spl0_1630|~spl0_1620),
% 288.51/36.66 inference(split_clause,[status(thm)],[f118987,f118978,f118981,f118984,f118473])).
% 288.51/36.66 fof(f118989,plain,(
% 288.51/36.66 $false|~spl0_1628),
% 288.51/36.66 inference(forward_subsumption_resolution,[status(thm)],[f118979,f147])).
% 288.51/36.66 fof(f118990,plain,(
% 288.51/36.66 ~spl0_1628),
% 288.51/36.66 inference(contradiction_clause,[status(thm)],[f118989])).
% 288.51/36.66 fof(f119001,plain,(
% 288.51/36.66 sk0_20(sk0_18,singleton(sk0_18))=sk0_18|spl0_1629|~spl0_231|~spl0_167|~spl0_114),
% 288.51/36.66 inference(resolution,[status(thm)],[f118983,f97298])).
% 288.51/36.66 fof(f119002,plain,(
% 288.51/36.66 spl0_1633 <=> subset(product(empty_set),sk0_18)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f119003,plain,(
% 288.51/36.66 subset(product(empty_set),sk0_18)|~spl0_1633),
% 288.51/36.66 inference(component_clause,[status(thm)],[f119002])).
% 288.51/36.66 fof(f119004,plain,(
% 288.51/36.66 ~subset(product(empty_set),sk0_18)|spl0_1633),
% 288.51/36.66 inference(component_clause,[status(thm)],[f119002])).
% 288.51/36.66 fof(f119009,plain,(
% 288.51/36.66 spl0_1634 <=> member(sk0_18,singleton(sk0_18))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f119012,plain,(
% 288.51/36.66 spl0_1635 <=> ~member(X0,singleton(sk0_18))|~member(sk0_21(sk0_18,singleton(sk0_18)),X0)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f119013,plain,(
% 288.51/36.66 ![X0]: (~member(X0,singleton(sk0_18))|~member(sk0_21(sk0_18,singleton(sk0_18)),X0)|~spl0_1635)),
% 288.51/36.66 inference(component_clause,[status(thm)],[f119012])).
% 288.51/36.66 fof(f119017,plain,(
% 288.51/36.66 spl0_1636 <=> subset(sk0_18,sk0_18)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f119019,plain,(
% 288.51/36.66 ~subset(sk0_18,sk0_18)|spl0_1636),
% 288.51/36.66 inference(component_clause,[status(thm)],[f119017])).
% 288.51/36.66 fof(f119020,plain,(
% 288.51/36.66 ![X0]: (pd0_0(sk0_18,singleton(sk0_18))|~subset(sk0_18,sk0_18)|~member(X0,singleton(sk0_18))|~member(sk0_21(sk0_18,singleton(sk0_18)),X0)|~spl0_1621)),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f118477,f157])).
% 288.51/36.66 fof(f119021,plain,(
% 288.51/36.66 spl0_1629|~spl0_1636|spl0_1635|~spl0_1621),
% 288.51/36.66 inference(split_clause,[status(thm)],[f119020,f118981,f119017,f119012,f118476])).
% 288.51/36.66 fof(f119022,plain,(
% 288.51/36.66 spl0_1637 <=> member(sk0_21(sk0_18,singleton(sk0_18)),sk0_18)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f119023,plain,(
% 288.51/36.66 member(sk0_21(sk0_18,singleton(sk0_18)),sk0_18)|~spl0_1637),
% 288.51/36.66 inference(component_clause,[status(thm)],[f119022])).
% 288.51/36.66 fof(f119024,plain,(
% 288.51/36.66 ~member(sk0_21(sk0_18,singleton(sk0_18)),sk0_18)|spl0_1637),
% 288.51/36.66 inference(component_clause,[status(thm)],[f119022])).
% 288.51/36.66 fof(f119029,plain,(
% 288.51/36.66 $false|spl0_1636),
% 288.51/36.66 inference(forward_subsumption_resolution,[status(thm)],[f119019,f190])).
% 288.51/36.66 fof(f119030,plain,(
% 288.51/36.66 spl0_1636),
% 288.51/36.66 inference(contradiction_clause,[status(thm)],[f119029])).
% 288.51/36.66 fof(f119057,plain,(
% 288.51/36.66 product(empty_set)=empty_set|~spl0_1622),
% 288.51/36.66 inference(backward_demodulation,[status(thm)],[f118733,f112755])).
% 288.51/36.66 fof(f119058,plain,(
% 288.51/36.66 spl0_174|~spl0_1622),
% 288.51/36.66 inference(split_clause,[status(thm)],[f119057,f7949,f118732])).
% 288.51/36.66 fof(f119066,plain,(
% 288.51/36.66 product(empty_set)=empty_set|~spl0_1625),
% 288.51/36.66 inference(backward_demodulation,[status(thm)],[f118785,f112770])).
% 288.51/36.66 fof(f119067,plain,(
% 288.51/36.66 spl0_174|~spl0_1625),
% 288.51/36.66 inference(split_clause,[status(thm)],[f119066,f7949,f118784])).
% 288.51/36.66 fof(f119075,plain,(
% 288.51/36.66 ![X0]: (pd0_0(sk0_18,singleton(sk0_18))|member(sk0_18,singleton(sk0_18))|~member(X0,singleton(sk0_18))|~member(sk0_21(sk0_18,singleton(sk0_18)),X0)|spl0_1629|~spl0_231|~spl0_167|~spl0_114)),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f119001,f155])).
% 288.51/36.66 fof(f119076,plain,(
% 288.51/36.66 spl0_1629|spl0_1634|spl0_1635|~spl0_231|~spl0_167|~spl0_114),
% 288.51/36.66 inference(split_clause,[status(thm)],[f119075,f118981,f119009,f119012,f12505,f7695,f5919])).
% 288.51/36.66 fof(f119077,plain,(
% 288.51/36.66 ![X0]: (pd0_0(sk0_18,singleton(sk0_18))|~subset(sk0_18,sk0_18)|~member(X0,singleton(sk0_18))|~member(sk0_21(sk0_18,singleton(sk0_18)),X0)|spl0_1629|~spl0_231|~spl0_167|~spl0_114)),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f119001,f157])).
% 288.51/36.66 fof(f119078,plain,(
% 288.51/36.66 spl0_1629|~spl0_1636|spl0_1635|~spl0_231|~spl0_167|~spl0_114),
% 288.51/36.66 inference(split_clause,[status(thm)],[f119077,f118981,f119017,f119012,f12505,f7695,f5919])).
% 288.51/36.66 fof(f119079,plain,(
% 288.51/36.66 pd0_0(sk0_18,singleton(sk0_18))|~subset(sk0_18,sk0_18)|member(sk0_21(sk0_18,singleton(sk0_18)),sk0_18)|spl0_1629|~spl0_231|~spl0_167|~spl0_114),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f119001,f156])).
% 288.51/36.66 fof(f119080,plain,(
% 288.51/36.66 spl0_1629|~spl0_1636|spl0_1637|~spl0_231|~spl0_167|~spl0_114),
% 288.51/36.66 inference(split_clause,[status(thm)],[f119079,f118981,f119017,f119022,f12505,f7695,f5919])).
% 288.51/36.66 fof(f119083,plain,(
% 288.51/36.66 ![X0,X1]: (pd0_0(X0,singleton(X1))|sk0_20(X0,singleton(X1))=X1|~subset(X0,X1)|~spl0_231|~spl0_167|~spl0_114)),
% 288.51/36.66 inference(forward_subsumption_resolution,[status(thm)],[f95634,f96958])).
% 288.51/36.66 fof(f119097,plain,(
% 288.51/36.66 partition(singleton(sk0_18),sk0_18)|sk0_4(sk0_18,singleton(sk0_18))=sk0_18|~spl0_1629),
% 288.51/36.66 inference(resolution,[status(thm)],[f118982,f90727])).
% 288.51/36.66 fof(f119098,plain,(
% 288.51/36.66 spl0_1628|spl0_1620|~spl0_1629),
% 288.51/36.66 inference(split_clause,[status(thm)],[f119097,f118978,f118473,f118981])).
% 288.51/36.66 fof(f119099,plain,(
% 288.51/36.66 spl0_1638 <=> sk0_5(sk0_18,singleton(sk0_18))=sk0_18),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f119100,plain,(
% 288.51/36.66 sk0_5(sk0_18,singleton(sk0_18))=sk0_18|~spl0_1638),
% 288.51/36.66 inference(component_clause,[status(thm)],[f119099])).
% 288.51/36.66 fof(f119102,plain,(
% 288.51/36.66 partition(singleton(sk0_18),sk0_18)|sk0_5(sk0_18,singleton(sk0_18))=sk0_18|~spl0_1629),
% 288.51/36.66 inference(resolution,[status(thm)],[f118982,f90744])).
% 288.51/36.66 fof(f119103,plain,(
% 288.51/36.66 spl0_1628|spl0_1638|~spl0_1629),
% 288.51/36.66 inference(split_clause,[status(thm)],[f119102,f118978,f119099,f118981])).
% 288.51/36.66 fof(f119116,plain,(
% 288.51/36.66 spl0_1641 <=> sk0_4(sk0_18,singleton(sk0_18))=sk0_5(sk0_18,singleton(sk0_18))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f119118,plain,(
% 288.51/36.66 ~sk0_4(sk0_18,singleton(sk0_18))=sk0_5(sk0_18,singleton(sk0_18))|spl0_1641),
% 288.51/36.66 inference(component_clause,[status(thm)],[f119116])).
% 288.51/36.66 fof(f119119,plain,(
% 288.51/36.66 partition(singleton(sk0_18),sk0_18)|~sk0_4(sk0_18,singleton(sk0_18))=sk0_5(sk0_18,singleton(sk0_18))|~spl0_1629),
% 288.51/36.66 inference(resolution,[status(thm)],[f118982,f95])).
% 288.51/36.66 fof(f119120,plain,(
% 288.51/36.66 spl0_1628|~spl0_1641|~spl0_1629),
% 288.51/36.66 inference(split_clause,[status(thm)],[f119119,f118978,f119116,f118981])).
% 288.51/36.66 fof(f119849,plain,(
% 288.51/36.66 ![X0]: (X0=unaryUnion(power_set(empty_set))|member(sk0_16(X0,power_set(empty_set)),X0)|empty_set=unaryUnion(sk0_17(X0,power_set(empty_set))))),
% 288.51/36.66 inference(resolution,[status(thm)],[f4554,f100090])).
% 288.51/36.66 fof(f119850,plain,(
% 288.51/36.66 ![X0]: (X0=empty_set|member(sk0_16(X0,power_set(empty_set)),X0)|empty_set=unaryUnion(sk0_17(X0,power_set(empty_set)))|~spl0_231)),
% 288.51/36.66 inference(forward_demodulation,[status(thm)],[f12506,f119849])).
% 288.51/36.66 fof(f119851,plain,(
% 288.51/36.66 ![X0]: (X0=unaryUnion(power_set(empty_set))|member(sk0_16(X0,power_set(empty_set)),X0)|pd0_0(sk0_17(X0,power_set(empty_set)),empty_set))),
% 288.51/36.66 inference(resolution,[status(thm)],[f4554,f99685])).
% 288.51/36.66 fof(f119852,plain,(
% 288.51/36.66 ![X0]: (X0=empty_set|member(sk0_16(X0,power_set(empty_set)),X0)|pd0_0(sk0_17(X0,power_set(empty_set)),empty_set)|~spl0_231)),
% 288.51/36.66 inference(forward_demodulation,[status(thm)],[f12506,f119851])).
% 288.51/36.66 fof(f119853,plain,(
% 288.51/36.66 ![X0,X1]: (X0=unaryUnion(power_set(empty_set))|member(sk0_16(X0,power_set(empty_set)),X0)|subset(sk0_17(X0,power_set(empty_set)),X1))),
% 288.51/36.66 inference(resolution,[status(thm)],[f4554,f43043])).
% 288.51/36.66 fof(f119854,plain,(
% 288.51/36.66 ![X0,X1]: (X0=empty_set|member(sk0_16(X0,power_set(empty_set)),X0)|subset(sk0_17(X0,power_set(empty_set)),X1)|~spl0_231)),
% 288.51/36.66 inference(forward_demodulation,[status(thm)],[f12506,f119853])).
% 288.51/36.66 fof(f119855,plain,(
% 288.51/36.66 ![X0,X1]: (X0=unaryUnion(power_set(empty_set))|member(sk0_16(X0,power_set(empty_set)),X0)|~member(X1,sk0_17(X0,power_set(empty_set))))),
% 288.51/36.66 inference(resolution,[status(thm)],[f4554,f5018])).
% 288.51/36.66 fof(f119856,plain,(
% 288.51/36.66 ![X0,X1]: (X0=empty_set|member(sk0_16(X0,power_set(empty_set)),X0)|~member(X1,sk0_17(X0,power_set(empty_set)))|~spl0_231)),
% 288.51/36.66 inference(forward_demodulation,[status(thm)],[f12506,f119855])).
% 288.51/36.66 fof(f119857,plain,(
% 288.51/36.66 ![X0,X1]: (X0=unaryUnion(power_set(empty_set))|member(sk0_16(X0,power_set(empty_set)),X0)|disjoint(X1,sk0_17(X0,power_set(empty_set))))),
% 288.51/36.66 inference(resolution,[status(thm)],[f4554,f99866])).
% 288.51/36.66 fof(f119858,plain,(
% 288.51/36.66 ![X0,X1]: (X0=empty_set|member(sk0_16(X0,power_set(empty_set)),X0)|disjoint(X1,sk0_17(X0,power_set(empty_set)))|~spl0_231)),
% 288.51/36.66 inference(forward_demodulation,[status(thm)],[f12506,f119857])).
% 288.51/36.66 fof(f119859,plain,(
% 288.51/36.66 ![X0,X1]: (X0=unaryUnion(power_set(empty_set))|member(sk0_16(X0,power_set(empty_set)),X0)|disjoint(sk0_17(X0,power_set(empty_set)),X1))),
% 288.51/36.66 inference(resolution,[status(thm)],[f4554,f99831])).
% 288.51/36.66 fof(f119860,plain,(
% 288.51/36.66 ![X0,X1]: (X0=empty_set|member(sk0_16(X0,power_set(empty_set)),X0)|disjoint(sk0_17(X0,power_set(empty_set)),X1)|~spl0_231)),
% 288.51/36.66 inference(forward_demodulation,[status(thm)],[f12506,f119859])).
% 288.51/36.66 fof(f119917,plain,(
% 288.51/36.66 sk0_20(empty_set,singleton(sk0_18))=sk0_18|~spl0_1630|~spl0_114),
% 288.51/36.66 inference(resolution,[status(thm)],[f118985,f23493])).
% 288.51/36.66 fof(f119921,plain,(
% 288.51/36.66 ~pd0_0(sk0_18,empty_set)|~spl0_1630|~spl0_231|~spl0_167),
% 288.51/36.66 inference(resolution,[status(thm)],[f118985,f93708])).
% 288.51/36.66 fof(f119926,plain,(
% 288.51/36.66 spl0_1645 <=> sk0_18=sk0_18),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f119929,plain,(
% 288.51/36.66 spl0_1646 <=> sum(sk0_18)=empty_set),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f119930,plain,(
% 288.51/36.66 sum(sk0_18)=empty_set|~spl0_1646),
% 288.51/36.66 inference(component_clause,[status(thm)],[f119929])).
% 288.51/36.66 fof(f119932,plain,(
% 288.51/36.66 sk0_18=sk0_18|sum(sk0_18)=empty_set|~spl0_1630|~spl0_114),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f82323,f119917])).
% 288.51/36.66 fof(f119933,plain,(
% 288.51/36.66 spl0_1645|spl0_1646|~spl0_1630|~spl0_114),
% 288.51/36.66 inference(split_clause,[status(thm)],[f119932,f119926,f119929,f118984,f5919])).
% 288.51/36.66 fof(f119934,plain,(
% 288.51/36.66 spl0_1647 <=> empty_set=unaryUnion(sk0_18)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f119935,plain,(
% 288.51/36.66 empty_set=unaryUnion(sk0_18)|~spl0_1647),
% 288.51/36.66 inference(component_clause,[status(thm)],[f119934])).
% 288.51/36.66 fof(f119939,plain,(
% 288.51/36.66 spl0_1648 <=> sk0_18=empty_set),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f119940,plain,(
% 288.51/36.66 sk0_18=empty_set|~spl0_1648),
% 288.51/36.66 inference(component_clause,[status(thm)],[f119939])).
% 288.51/36.66 fof(f119950,plain,(
% 288.51/36.66 spl0_1649 <=> pd0_0(empty_set,singleton(sk0_18))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f119951,plain,(
% 288.51/36.66 pd0_0(empty_set,singleton(sk0_18))|~spl0_1649),
% 288.51/36.66 inference(component_clause,[status(thm)],[f119950])).
% 288.51/36.66 fof(f119952,plain,(
% 288.51/36.66 ~pd0_0(empty_set,singleton(sk0_18))|spl0_1649),
% 288.51/36.66 inference(component_clause,[status(thm)],[f119950])).
% 288.51/36.66 fof(f119953,plain,(
% 288.51/36.66 pd0_0(empty_set,singleton(sk0_18))|member(sk0_18,singleton(sk0_18))|~spl0_1630|~spl0_114),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f119917,f5102])).
% 288.51/36.66 fof(f119954,plain,(
% 288.51/36.66 spl0_1649|spl0_1634|~spl0_1630|~spl0_114),
% 288.51/36.66 inference(split_clause,[status(thm)],[f119953,f119950,f119009,f118984,f5919])).
% 288.51/36.66 fof(f119960,plain,(
% 288.51/36.66 spl0_1651 <=> subset(sk0_18,empty_set)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f119965,plain,(
% 288.51/36.66 spl0_1652 <=> member(sk0_21(empty_set,singleton(sk0_18)),empty_set)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f119966,plain,(
% 288.51/36.66 member(sk0_21(empty_set,singleton(sk0_18)),empty_set)|~spl0_1652),
% 288.51/36.66 inference(component_clause,[status(thm)],[f119965])).
% 288.51/36.66 fof(f119968,plain,(
% 288.51/36.66 pd0_0(empty_set,singleton(sk0_18))|~subset(sk0_18,empty_set)|member(sk0_21(empty_set,singleton(sk0_18)),empty_set)|~spl0_1630|~spl0_114),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f119917,f156])).
% 288.51/36.66 fof(f119969,plain,(
% 288.51/36.66 spl0_1649|~spl0_1651|spl0_1652|~spl0_1630|~spl0_114),
% 288.51/36.66 inference(split_clause,[status(thm)],[f119968,f119950,f119960,f119965,f118984,f5919])).
% 288.51/36.66 fof(f119972,plain,(
% 288.51/36.66 $false|~spl0_231|~spl0_167|~spl0_1652),
% 288.51/36.66 inference(forward_subsumption_resolution,[status(thm)],[f119966,f89782])).
% 288.51/36.66 fof(f119973,plain,(
% 288.51/36.66 ~spl0_231|~spl0_167|~spl0_1652),
% 288.51/36.66 inference(contradiction_clause,[status(thm)],[f119972])).
% 288.51/36.66 fof(f119974,plain,(
% 288.51/36.66 $false|~spl0_1648),
% 288.51/36.66 inference(forward_subsumption_resolution,[status(thm)],[f119940,f146])).
% 288.51/36.66 fof(f119975,plain,(
% 288.51/36.66 ~spl0_1648),
% 288.51/36.66 inference(contradiction_clause,[status(thm)],[f119974])).
% 288.51/36.66 fof(f119985,plain,(
% 288.51/36.66 ![X0,X1]: (member(X0,empty_set)|~member(X0,X1)|~member(X1,sk0_18)|~spl0_1647)),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f119935,f184])).
% 288.51/36.66 fof(f119986,plain,(
% 288.51/36.66 ![X0,X1]: (~member(X0,X1)|~member(X1,sk0_18)|~spl0_231|~spl0_167|~spl0_1647)),
% 288.51/36.66 inference(forward_subsumption_resolution,[status(thm)],[f119985,f89782])).
% 288.51/36.66 fof(f120006,plain,(
% 288.51/36.66 ![X0,X1]: (member(X0,empty_set)|~member(X1,sk0_18)|~member(X0,X1)|~spl0_1646)),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f119930,f68])).
% 288.51/36.66 fof(f120007,plain,(
% 288.51/36.66 ![X0,X1]: (~member(X0,sk0_18)|~member(X1,X0)|~spl0_231|~spl0_167|~spl0_1646)),
% 288.51/36.66 inference(forward_subsumption_resolution,[status(thm)],[f120006,f89782])).
% 288.51/36.66 fof(f120026,plain,(
% 288.51/36.66 spl0_1653 <=> partition(singleton(sk0_18),empty_set)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120027,plain,(
% 288.51/36.66 partition(singleton(sk0_18),empty_set)|~spl0_1653),
% 288.51/36.66 inference(component_clause,[status(thm)],[f120026])).
% 288.51/36.66 fof(f120029,plain,(
% 288.51/36.66 spl0_1654 <=> sk0_4(empty_set,singleton(sk0_18))=sk0_18),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120030,plain,(
% 288.51/36.66 sk0_4(empty_set,singleton(sk0_18))=sk0_18|~spl0_1654),
% 288.51/36.66 inference(component_clause,[status(thm)],[f120029])).
% 288.51/36.66 fof(f120032,plain,(
% 288.51/36.66 partition(singleton(sk0_18),empty_set)|sk0_4(empty_set,singleton(sk0_18))=sk0_18|~spl0_1649),
% 288.51/36.66 inference(resolution,[status(thm)],[f119951,f90727])).
% 288.51/36.66 fof(f120033,plain,(
% 288.51/36.66 spl0_1653|spl0_1654|~spl0_1649),
% 288.51/36.66 inference(split_clause,[status(thm)],[f120032,f120026,f120029,f119950])).
% 288.51/36.66 fof(f120034,plain,(
% 288.51/36.66 spl0_1655 <=> sk0_5(empty_set,singleton(sk0_18))=sk0_18),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120037,plain,(
% 288.51/36.66 partition(singleton(sk0_18),empty_set)|sk0_5(empty_set,singleton(sk0_18))=sk0_18|~spl0_1649),
% 288.51/36.66 inference(resolution,[status(thm)],[f119951,f90744])).
% 288.51/36.66 fof(f120038,plain,(
% 288.51/36.66 spl0_1653|spl0_1655|~spl0_1649),
% 288.51/36.66 inference(split_clause,[status(thm)],[f120037,f120026,f120034,f119950])).
% 288.51/36.66 fof(f120039,plain,(
% 288.51/36.66 spl0_1656 <=> member(sk0_5(empty_set,singleton(sk0_18)),singleton(sk0_18))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120042,plain,(
% 288.51/36.66 partition(singleton(sk0_18),empty_set)|member(sk0_5(empty_set,singleton(sk0_18)),singleton(sk0_18))|~spl0_1649),
% 288.51/36.66 inference(resolution,[status(thm)],[f119951,f92])).
% 288.51/36.66 fof(f120043,plain,(
% 288.51/36.66 spl0_1653|spl0_1656|~spl0_1649),
% 288.51/36.66 inference(split_clause,[status(thm)],[f120042,f120026,f120039,f119950])).
% 288.51/36.66 fof(f120044,plain,(
% 288.51/36.66 spl0_1657 <=> member(sk0_4(empty_set,singleton(sk0_18)),singleton(sk0_18))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120047,plain,(
% 288.51/36.66 partition(singleton(sk0_18),empty_set)|member(sk0_4(empty_set,singleton(sk0_18)),singleton(sk0_18))|~spl0_1649),
% 288.51/36.66 inference(resolution,[status(thm)],[f119951,f91])).
% 288.51/36.66 fof(f120048,plain,(
% 288.51/36.66 spl0_1653|spl0_1657|~spl0_1649),
% 288.51/36.66 inference(split_clause,[status(thm)],[f120047,f120026,f120044,f119950])).
% 288.51/36.66 fof(f120050,plain,(
% 288.51/36.66 spl0_1658 <=> sk0_4(empty_set,singleton(sk0_18))=sk0_5(empty_set,singleton(sk0_18))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120053,plain,(
% 288.51/36.66 partition(singleton(sk0_18),empty_set)|~sk0_4(empty_set,singleton(sk0_18))=sk0_5(empty_set,singleton(sk0_18))|~spl0_1649),
% 288.51/36.66 inference(resolution,[status(thm)],[f119951,f95])).
% 288.51/36.66 fof(f120054,plain,(
% 288.51/36.66 spl0_1653|~spl0_1658|~spl0_1649),
% 288.51/36.66 inference(split_clause,[status(thm)],[f120053,f120026,f120050,f119950])).
% 288.51/36.66 fof(f120069,plain,(
% 288.51/36.66 spl0_1659 <=> ~member(X0,sk0_17(empty_set,sk0_18))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120070,plain,(
% 288.51/36.66 ![X0]: (~member(X0,sk0_17(empty_set,sk0_18))|~spl0_1659)),
% 288.51/36.66 inference(component_clause,[status(thm)],[f120069])).
% 288.51/36.66 fof(f120082,plain,(
% 288.51/36.66 spl0_1660 <=> ~member(X0,sk0_20(empty_set,sk0_18))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120083,plain,(
% 288.51/36.66 ![X0]: (~member(X0,sk0_20(empty_set,sk0_18))|~spl0_1660)),
% 288.51/36.66 inference(component_clause,[status(thm)],[f120082])).
% 288.51/36.66 fof(f120085,plain,(
% 288.51/36.66 spl0_1661 <=> pd0_0(empty_set,sk0_18)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120086,plain,(
% 288.51/36.66 pd0_0(empty_set,sk0_18)|~spl0_1661),
% 288.51/36.66 inference(component_clause,[status(thm)],[f120085])).
% 288.51/36.66 fof(f120088,plain,(
% 288.51/36.66 ![X0]: (~member(X0,sk0_20(empty_set,sk0_18))|pd0_0(empty_set,sk0_18)|~spl0_231|~spl0_167|~spl0_1647)),
% 288.51/36.66 inference(resolution,[status(thm)],[f119986,f5102])).
% 288.51/36.66 fof(f120089,plain,(
% 288.51/36.66 spl0_1660|spl0_1661|~spl0_231|~spl0_167|~spl0_1647),
% 288.51/36.66 inference(split_clause,[status(thm)],[f120088,f120082,f120085,f12505,f7695,f119934])).
% 288.51/36.66 fof(f120093,plain,(
% 288.51/36.66 spl0_1662 <=> ~member(X0,sk0_21(sk0_18,empty_set))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120094,plain,(
% 288.51/36.66 ![X0]: (~member(X0,sk0_21(sk0_18,empty_set))|~spl0_1662)),
% 288.51/36.66 inference(component_clause,[status(thm)],[f120093])).
% 288.51/36.66 fof(f120096,plain,(
% 288.51/36.66 spl0_1663 <=> pd0_0(sk0_18,empty_set)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120097,plain,(
% 288.51/36.66 pd0_0(sk0_18,empty_set)|~spl0_1663),
% 288.51/36.66 inference(component_clause,[status(thm)],[f120096])).
% 288.51/36.66 fof(f120099,plain,(
% 288.51/36.66 ![X0]: (~member(X0,sk0_21(sk0_18,empty_set))|pd0_0(sk0_18,empty_set)|~spl0_231|~spl0_167|~spl0_1647)),
% 288.51/36.66 inference(resolution,[status(thm)],[f119986,f5086])).
% 288.51/36.66 fof(f120100,plain,(
% 288.51/36.66 spl0_1662|spl0_1663|~spl0_231|~spl0_167|~spl0_1647),
% 288.51/36.66 inference(split_clause,[status(thm)],[f120099,f120093,f120096,f12505,f7695,f119934])).
% 288.51/36.66 fof(f120108,plain,(
% 288.51/36.66 spl0_1664 <=> ~member(X0,sk0_16(empty_set,singleton(sk0_18)))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120109,plain,(
% 288.51/36.66 ![X0]: (~member(X0,sk0_16(empty_set,singleton(sk0_18)))|~spl0_1664)),
% 288.51/36.66 inference(component_clause,[status(thm)],[f120108])).
% 288.51/36.66 fof(f120111,plain,(
% 288.51/36.66 spl0_1665 <=> empty_set=unaryUnion(singleton(sk0_18))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120112,plain,(
% 288.51/36.66 empty_set=unaryUnion(singleton(sk0_18))|~spl0_1665),
% 288.51/36.66 inference(component_clause,[status(thm)],[f120111])).
% 288.51/36.66 fof(f120114,plain,(
% 288.51/36.66 ![X0]: (~member(X0,sk0_16(empty_set,singleton(sk0_18)))|empty_set=unaryUnion(singleton(sk0_18))|~spl0_1647|~spl0_231|~spl0_167)),
% 288.51/36.66 inference(resolution,[status(thm)],[f119986,f90025])).
% 288.51/36.66 fof(f120115,plain,(
% 288.51/36.66 spl0_1664|spl0_1665|~spl0_1647|~spl0_231|~spl0_167),
% 288.51/36.66 inference(split_clause,[status(thm)],[f120114,f120108,f120111,f119934,f12505,f7695])).
% 288.51/36.66 fof(f120118,plain,(
% 288.51/36.66 spl0_1666 <=> ~member(X0,sk0_16(sk0_18,empty_set))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120119,plain,(
% 288.51/36.66 ![X0]: (~member(X0,sk0_16(sk0_18,empty_set))|~spl0_1666)),
% 288.51/36.66 inference(component_clause,[status(thm)],[f120118])).
% 288.51/36.66 fof(f120121,plain,(
% 288.51/36.66 ![X0]: (~member(X0,sk0_16(sk0_18,empty_set))|sk0_18=empty_set|~spl0_1647|~spl0_231|~spl0_167)),
% 288.51/36.66 inference(resolution,[status(thm)],[f119986,f97234])).
% 288.51/36.66 fof(f120122,plain,(
% 288.51/36.66 spl0_1666|spl0_1648|~spl0_1647|~spl0_231|~spl0_167),
% 288.51/36.66 inference(split_clause,[status(thm)],[f120121,f120118,f119939,f119934,f12505,f7695])).
% 288.51/36.66 fof(f120126,plain,(
% 288.51/36.66 $false|~spl0_1630|~spl0_231|~spl0_167|~spl0_1663),
% 288.51/36.66 inference(forward_subsumption_resolution,[status(thm)],[f120097,f119921])).
% 288.51/36.66 fof(f120127,plain,(
% 288.51/36.66 ~spl0_1630|~spl0_231|~spl0_167|~spl0_1663),
% 288.51/36.66 inference(contradiction_clause,[status(thm)],[f120126])).
% 288.51/36.66 fof(f120128,plain,(
% 288.51/36.66 spl0_1667 <=> partition(sk0_18,empty_set)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120129,plain,(
% 288.51/36.66 partition(sk0_18,empty_set)|~spl0_1667),
% 288.51/36.66 inference(component_clause,[status(thm)],[f120128])).
% 288.51/36.66 fof(f120131,plain,(
% 288.51/36.66 spl0_1668 <=> member(sk0_5(empty_set,sk0_18),sk0_18)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120134,plain,(
% 288.51/36.66 partition(sk0_18,empty_set)|member(sk0_5(empty_set,sk0_18),sk0_18)|~spl0_1661),
% 288.51/36.66 inference(resolution,[status(thm)],[f120086,f92])).
% 288.51/36.66 fof(f120135,plain,(
% 288.51/36.66 spl0_1667|spl0_1668|~spl0_1661),
% 288.51/36.66 inference(split_clause,[status(thm)],[f120134,f120128,f120131,f120085])).
% 288.51/36.66 fof(f120136,plain,(
% 288.51/36.66 spl0_1669 <=> member(sk0_4(empty_set,sk0_18),sk0_18)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120139,plain,(
% 288.51/36.66 partition(sk0_18,empty_set)|member(sk0_4(empty_set,sk0_18),sk0_18)|~spl0_1661),
% 288.51/36.66 inference(resolution,[status(thm)],[f120086,f91])).
% 288.51/36.66 fof(f120140,plain,(
% 288.51/36.66 spl0_1667|spl0_1669|~spl0_1661),
% 288.51/36.66 inference(split_clause,[status(thm)],[f120139,f120128,f120136,f120085])).
% 288.51/36.66 fof(f120142,plain,(
% 288.51/36.66 spl0_1670 <=> sk0_4(empty_set,sk0_18)=sk0_5(empty_set,sk0_18)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120145,plain,(
% 288.51/36.66 partition(sk0_18,empty_set)|~sk0_4(empty_set,sk0_18)=sk0_5(empty_set,sk0_18)|~spl0_1661),
% 288.51/36.66 inference(resolution,[status(thm)],[f120086,f95])).
% 288.51/36.66 fof(f120146,plain,(
% 288.51/36.66 spl0_1667|~spl0_1670|~spl0_1661),
% 288.51/36.66 inference(split_clause,[status(thm)],[f120145,f120128,f120142,f120085])).
% 288.51/36.66 fof(f120155,plain,(
% 288.51/36.66 ![X0]: (~member(X0,sk0_18)|subset(X0,empty_set)|~spl0_1667)),
% 288.51/36.66 inference(resolution,[status(thm)],[f120129,f824])).
% 288.51/36.66 fof(f120156,plain,(
% 288.51/36.66 non_overlapping(sk0_18)|~spl0_1667),
% 288.51/36.66 inference(resolution,[status(thm)],[f120129,f133])).
% 288.51/36.66 fof(f120157,plain,(
% 288.51/36.66 partition(sk0_18,sk0_14(sk0_18))|~spl0_1667),
% 288.51/36.66 inference(resolution,[status(thm)],[f120156,f132])).
% 288.51/36.66 fof(f120161,plain,(
% 288.51/36.66 ![X0,X1]: (X0=empty_set|member(sk0_16(X0,power_set(empty_set)),X0)|sk0_16(singleton(X1),sk0_17(X0,power_set(empty_set)))=X1|singleton(X1)=unaryUnion(sk0_17(X0,power_set(empty_set)))|~spl0_231)),
% 288.51/36.66 inference(resolution,[status(thm)],[f119856,f98018])).
% 288.51/36.66 fof(f120162,plain,(
% 288.51/36.66 ![X0,X1]: (X0=empty_set|member(sk0_16(X0,power_set(empty_set)),X0)|X1=unaryUnion(sk0_17(X0,power_set(empty_set)))|member(sk0_16(X1,sk0_17(X0,power_set(empty_set))),X1)|~spl0_231)),
% 288.51/36.66 inference(resolution,[status(thm)],[f119856,f143])).
% 288.51/36.66 fof(f120182,plain,(
% 288.51/36.66 ![X0]: (X0=empty_set|member(sk0_16(X0,power_set(empty_set)),X0)|X0=unaryUnion(power_set(empty_set))|member(sk0_16(X0,power_set(empty_set)),X0)|~spl0_231)),
% 288.51/36.66 inference(resolution,[status(thm)],[f119856,f142])).
% 288.51/36.66 fof(f120183,plain,(
% 288.51/36.66 ![X0]: (X0=empty_set|member(sk0_16(X0,power_set(empty_set)),X0)|X0=empty_set|member(sk0_16(X0,power_set(empty_set)),X0)|~spl0_231)),
% 288.51/36.66 inference(forward_demodulation,[status(thm)],[f12506,f120182])).
% 288.51/36.66 fof(f120184,plain,(
% 288.51/36.66 ![X0]: (X0=empty_set|member(sk0_16(X0,power_set(empty_set)),X0)|~spl0_231)),
% 288.51/36.66 inference(duplicate_literals_removal,[status(esa)],[f120183])).
% 288.51/36.66 fof(f120244,plain,(
% 288.51/36.66 spl0_1674 <=> sk0_15(sk0_16(empty_set,singleton(unaryUnion(singleton(sk0_18)))),empty_set,singleton(sk0_18))=sk0_18),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120247,plain,(
% 288.51/36.66 spl0_1675 <=> empty_set=unaryUnion(singleton(unaryUnion(singleton(sk0_18))))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120248,plain,(
% 288.51/36.66 empty_set=unaryUnion(singleton(unaryUnion(singleton(sk0_18))))|~spl0_1675),
% 288.51/36.66 inference(component_clause,[status(thm)],[f120247])).
% 288.51/36.66 fof(f120250,plain,(
% 288.51/36.66 sk0_15(sk0_16(empty_set,singleton(unaryUnion(singleton(sk0_18)))),empty_set,singleton(sk0_18))=sk0_18|empty_set=unaryUnion(singleton(unaryUnion(singleton(sk0_18))))|~spl0_231|~spl0_167|~spl0_1665),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f120112,f95103])).
% 288.51/36.66 fof(f120251,plain,(
% 288.51/36.66 spl0_1674|spl0_1675|~spl0_231|~spl0_167|~spl0_1665),
% 288.51/36.66 inference(split_clause,[status(thm)],[f120250,f120244,f120247,f12505,f7695,f120111])).
% 288.51/36.66 fof(f120252,plain,(
% 288.51/36.66 spl0_1676 <=> sk0_15(sk0_16(empty_set,singleton(empty_set)),unaryUnion(singleton(sk0_18)),singleton(sk0_18))=sk0_18),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120255,plain,(
% 288.51/36.66 sk0_15(sk0_16(empty_set,singleton(empty_set)),unaryUnion(singleton(sk0_18)),singleton(sk0_18))=sk0_18|empty_set=unaryUnion(singleton(unaryUnion(singleton(sk0_18))))|~spl0_231|~spl0_167|~spl0_1665),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f120112,f95103])).
% 288.51/36.66 fof(f120256,plain,(
% 288.51/36.66 spl0_1676|spl0_1675|~spl0_231|~spl0_167|~spl0_1665),
% 288.51/36.66 inference(split_clause,[status(thm)],[f120255,f120252,f120247,f12505,f7695,f120111])).
% 288.51/36.66 fof(f120310,plain,(
% 288.51/36.66 ![X0]: (~member(X0,sk0_17(empty_set,sk0_18))|empty_set=unaryUnion(sk0_18)|~spl0_231|~spl0_167|~spl0_1646)),
% 288.51/36.66 inference(resolution,[status(thm)],[f120007,f4550])).
% 288.51/36.66 fof(f120311,plain,(
% 288.51/36.66 spl0_1659|spl0_1647|~spl0_231|~spl0_167|~spl0_1646),
% 288.51/36.66 inference(split_clause,[status(thm)],[f120310,f120069,f119934,f12505,f7695,f119929])).
% 288.51/36.66 fof(f120334,plain,(
% 288.51/36.66 spl0_1677 <=> ~member(X0,sk0_16(sk0_18,power_set(empty_set)))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120335,plain,(
% 288.51/36.66 ![X0]: (~member(X0,sk0_16(sk0_18,power_set(empty_set)))|~spl0_1677)),
% 288.51/36.66 inference(component_clause,[status(thm)],[f120334])).
% 288.51/36.66 fof(f120337,plain,(
% 288.51/36.66 spl0_1678 <=> empty_set=unaryUnion(sk0_17(sk0_18,power_set(empty_set)))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120338,plain,(
% 288.51/36.66 empty_set=unaryUnion(sk0_17(sk0_18,power_set(empty_set)))|~spl0_1678),
% 288.51/36.66 inference(component_clause,[status(thm)],[f120337])).
% 288.51/36.66 fof(f120340,plain,(
% 288.51/36.66 ![X0]: (~member(X0,sk0_16(sk0_18,power_set(empty_set)))|sk0_18=empty_set|empty_set=unaryUnion(sk0_17(sk0_18,power_set(empty_set)))|~spl0_167|~spl0_1646|~spl0_231)),
% 288.51/36.66 inference(resolution,[status(thm)],[f120007,f119850])).
% 288.51/36.66 fof(f120341,plain,(
% 288.51/36.66 spl0_1677|spl0_1648|spl0_1678|~spl0_167|~spl0_1646|~spl0_231),
% 288.51/36.66 inference(split_clause,[status(thm)],[f120340,f120334,f119939,f120337,f7695,f119929,f12505])).
% 288.51/36.66 fof(f120370,plain,(
% 288.51/36.66 spl0_1679 <=> sk0_16(sk0_18,empty_set)=empty_set),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120371,plain,(
% 288.51/36.66 sk0_16(sk0_18,empty_set)=empty_set|~spl0_1679),
% 288.51/36.66 inference(component_clause,[status(thm)],[f120370])).
% 288.51/36.66 fof(f120373,plain,(
% 288.51/36.66 spl0_1680 <=> empty_set=unaryUnion(sk0_17(sk0_16(sk0_18,empty_set),power_set(empty_set)))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120376,plain,(
% 288.51/36.66 sk0_16(sk0_18,empty_set)=empty_set|empty_set=unaryUnion(sk0_17(sk0_16(sk0_18,empty_set),power_set(empty_set)))|~spl0_1666|~spl0_231),
% 288.51/36.66 inference(resolution,[status(thm)],[f120119,f119850])).
% 288.51/36.66 fof(f120377,plain,(
% 288.51/36.66 spl0_1679|spl0_1680|~spl0_1666|~spl0_231),
% 288.51/36.66 inference(split_clause,[status(thm)],[f120376,f120370,f120373,f120118,f12505])).
% 288.51/36.66 fof(f120380,plain,(
% 288.51/36.66 sk0_16(sk0_18,empty_set)=empty_set|~spl0_1666|~spl0_231|~spl0_167),
% 288.51/36.66 inference(resolution,[status(thm)],[f120119,f97234])).
% 288.51/36.66 fof(f120384,plain,(
% 288.51/36.66 spl0_1681 <=> subset(product(sk0_18),empty_set)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120385,plain,(
% 288.51/36.66 subset(product(sk0_18),empty_set)|~spl0_1681),
% 288.51/36.66 inference(component_clause,[status(thm)],[f120384])).
% 288.51/36.66 fof(f120386,plain,(
% 288.51/36.66 ~subset(product(sk0_18),empty_set)|spl0_1681),
% 288.51/36.66 inference(component_clause,[status(thm)],[f120384])).
% 288.51/36.66 fof(f120389,plain,(
% 288.51/36.66 spl0_1682 <=> member(empty_set,sk0_18)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120390,plain,(
% 288.51/36.66 member(empty_set,sk0_18)|~spl0_1682),
% 288.51/36.66 inference(component_clause,[status(thm)],[f120389])).
% 288.51/36.66 fof(f120392,plain,(
% 288.51/36.66 sk0_18=empty_set|member(empty_set,sk0_18)|~spl0_231|~spl0_167|~spl0_1679),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f120371,f97234])).
% 288.51/36.66 fof(f120393,plain,(
% 288.51/36.66 spl0_1648|spl0_1682|~spl0_231|~spl0_167|~spl0_1679),
% 288.51/36.66 inference(split_clause,[status(thm)],[f120392,f119939,f120389,f12505,f7695,f120370])).
% 288.51/36.66 fof(f120394,plain,(
% 288.51/36.66 spl0_1683 <=> sk0_18=unaryUnion(empty_set)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120395,plain,(
% 288.51/36.66 sk0_18=unaryUnion(empty_set)|~spl0_1683),
% 288.51/36.66 inference(component_clause,[status(thm)],[f120394])).
% 288.51/36.66 fof(f120397,plain,(
% 288.51/36.66 spl0_1684 <=> ~member(sk0_16(sk0_18,empty_set),X0)|~member(X0,empty_set)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120400,plain,(
% 288.51/36.66 ![X0]: (sk0_18=unaryUnion(empty_set)|~member(empty_set,sk0_18)|~member(sk0_16(sk0_18,empty_set),X0)|~member(X0,empty_set)|~spl0_1679)),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f120371,f141])).
% 288.51/36.66 fof(f120401,plain,(
% 288.51/36.66 spl0_1683|~spl0_1682|spl0_1684|~spl0_1679),
% 288.51/36.66 inference(split_clause,[status(thm)],[f120400,f120394,f120389,f120397,f120370])).
% 288.51/36.66 fof(f120402,plain,(
% 288.51/36.66 spl0_1685 <=> member(sk0_16(sk0_18,empty_set),sk0_18)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120403,plain,(
% 288.51/36.66 member(sk0_16(sk0_18,empty_set),sk0_18)|~spl0_1685),
% 288.51/36.66 inference(component_clause,[status(thm)],[f120402])).
% 288.51/36.66 fof(f120405,plain,(
% 288.51/36.66 spl0_1686 <=> member(empty_set,sk0_17(sk0_18,empty_set))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120406,plain,(
% 288.51/36.66 member(empty_set,sk0_17(sk0_18,empty_set))|~spl0_1686),
% 288.51/36.66 inference(component_clause,[status(thm)],[f120405])).
% 288.51/36.66 fof(f120408,plain,(
% 288.51/36.66 sk0_18=unaryUnion(empty_set)|member(sk0_16(sk0_18,empty_set),sk0_18)|member(empty_set,sk0_17(sk0_18,empty_set))|~spl0_1679),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f120371,f142])).
% 288.51/36.66 fof(f120409,plain,(
% 288.51/36.66 spl0_1683|spl0_1685|spl0_1686|~spl0_1679),
% 288.51/36.66 inference(split_clause,[status(thm)],[f120408,f120394,f120402,f120405,f120370])).
% 288.51/36.66 fof(f120410,plain,(
% 288.51/36.66 spl0_1687 <=> member(sk0_17(sk0_18,empty_set),empty_set)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120411,plain,(
% 288.51/36.66 member(sk0_17(sk0_18,empty_set),empty_set)|~spl0_1687),
% 288.51/36.66 inference(component_clause,[status(thm)],[f120410])).
% 288.51/36.66 fof(f120415,plain,(
% 288.51/36.66 sk0_18=empty_set|~spl0_1683),
% 288.51/36.66 inference(forward_demodulation,[status(thm)],[f4886,f120395])).
% 288.51/36.66 fof(f120416,plain,(
% 288.51/36.66 $false|~spl0_1683),
% 288.51/36.66 inference(forward_subsumption_resolution,[status(thm)],[f120415,f146])).
% 288.51/36.66 fof(f120417,plain,(
% 288.51/36.66 ~spl0_1683),
% 288.51/36.66 inference(contradiction_clause,[status(thm)],[f120416])).
% 288.51/36.66 fof(f120418,plain,(
% 288.51/36.66 $false|~spl0_231|~spl0_167|~spl0_1687),
% 288.51/36.66 inference(forward_subsumption_resolution,[status(thm)],[f120411,f89782])).
% 288.51/36.66 fof(f120419,plain,(
% 288.51/36.66 ~spl0_231|~spl0_167|~spl0_1687),
% 288.51/36.66 inference(contradiction_clause,[status(thm)],[f120418])).
% 288.51/36.66 fof(f120432,plain,(
% 288.51/36.66 product(sk0_18)=empty_set|~spl0_1681|~spl0_231|~spl0_167),
% 288.51/36.66 inference(resolution,[status(thm)],[f120385,f99045])).
% 288.51/36.66 fof(f120440,plain,(
% 288.51/36.66 spl0_1688 <=> subset(empty_set,sk0_16(sk0_18,empty_set))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120443,plain,(
% 288.51/36.66 sk0_18=empty_set|subset(empty_set,sk0_16(sk0_18,empty_set))|~spl0_1681|~spl0_231|~spl0_167),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f120432,f101241])).
% 288.51/36.66 fof(f120444,plain,(
% 288.51/36.66 spl0_1648|spl0_1688|~spl0_1681|~spl0_231|~spl0_167),
% 288.51/36.66 inference(split_clause,[status(thm)],[f120443,f119939,f120440,f120384,f12505,f7695])).
% 288.51/36.66 fof(f120463,plain,(
% 288.51/36.66 ~member(empty_set,sk0_18)|spl0_1681),
% 288.51/36.66 inference(resolution,[status(thm)],[f120386,f26705])).
% 288.51/36.66 fof(f120488,plain,(
% 288.51/36.66 spl0_1689 <=> sk0_21(sk0_18,empty_set)=empty_set),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120489,plain,(
% 288.51/36.66 sk0_21(sk0_18,empty_set)=empty_set|~spl0_1689),
% 288.51/36.66 inference(component_clause,[status(thm)],[f120488])).
% 288.51/36.66 fof(f120491,plain,(
% 288.51/36.66 spl0_1690 <=> empty_set=unaryUnion(sk0_17(sk0_21(sk0_18,empty_set),power_set(empty_set)))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f120494,plain,(
% 288.51/36.66 sk0_21(sk0_18,empty_set)=empty_set|empty_set=unaryUnion(sk0_17(sk0_21(sk0_18,empty_set),power_set(empty_set)))|~spl0_1662|~spl0_231),
% 288.51/36.66 inference(resolution,[status(thm)],[f120094,f119850])).
% 288.51/36.66 fof(f120495,plain,(
% 288.51/36.66 spl0_1689|spl0_1690|~spl0_1662|~spl0_231),
% 288.51/36.66 inference(split_clause,[status(thm)],[f120494,f120488,f120491,f120093,f12505])).
% 288.51/36.66 fof(f120498,plain,(
% 288.51/36.66 sk0_21(sk0_18,empty_set)=empty_set|~spl0_1662|~spl0_231|~spl0_167),
% 288.51/36.66 inference(resolution,[status(thm)],[f120094,f97234])).
% 288.51/36.66 fof(f120502,plain,(
% 288.51/36.66 pd0_0(sk0_18,empty_set)|member(empty_set,sk0_18)|~spl0_1689),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f120489,f5086])).
% 288.51/36.66 fof(f120503,plain,(
% 288.51/36.66 spl0_1663|spl0_1682|~spl0_1689),
% 288.51/36.66 inference(split_clause,[status(thm)],[f120502,f120096,f120389,f120488])).
% 288.51/36.66 fof(f120509,plain,(
% 288.51/36.66 $false|spl0_1681|~spl0_1682),
% 288.51/36.66 inference(forward_subsumption_resolution,[status(thm)],[f120390,f120463])).
% 288.51/36.66 fof(f120510,plain,(
% 288.51/36.66 spl0_1681|~spl0_1682),
% 288.51/36.66 inference(contradiction_clause,[status(thm)],[f120509])).
% 288.51/36.66 fof(f120515,plain,(
% 288.51/36.66 sk0_20(empty_set,singleton(sk0_18))=sk0_18|~spl0_1682|~spl0_114),
% 288.51/36.66 inference(resolution,[status(thm)],[f120390,f23493])).
% 288.51/36.66 fof(f120516,plain,(
% 288.51/36.66 sk0_3(singleton(empty_set),sk0_18)=empty_set|~spl0_1682),
% 288.51/36.66 inference(resolution,[status(thm)],[f120390,f1146])).
% 288.51/36.66 fof(f120517,plain,(
% 288.51/36.66 sk0_3(sk0_18,singleton(empty_set))=empty_set|~spl0_1682),
% 288.51/36.66 inference(resolution,[status(thm)],[f120390,f1031])).
% 288.51/36.66 fof(f120912,plain,(
% 288.51/36.66 ![X0,X1]: (~member(empty_set,X0)|pd0_0(X1,singleton(product(product(X0))))|sk0_20(X1,singleton(product(product(X0))))=product(product(X0))|~spl0_231|~spl0_167|~spl0_114)),
% 288.51/36.66 inference(resolution,[status(thm)],[f25167,f97295])).
% 288.51/36.66 fof(f122054,plain,(
% 288.51/36.66 spl0_1702 <=> member(sk0_21(sk0_18,singleton(sk0_18)),sk0_17(empty_set,singleton(sk0_18)))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f122057,plain,(
% 288.51/36.66 ~member(sk0_21(sk0_18,singleton(sk0_18)),sk0_17(empty_set,singleton(sk0_18)))|empty_set=unaryUnion(singleton(sk0_18))|~spl0_1635),
% 288.51/36.66 inference(resolution,[status(thm)],[f119013,f4550])).
% 288.51/36.66 fof(f122058,plain,(
% 288.51/36.66 ~spl0_1702|spl0_1665|~spl0_1635),
% 288.51/36.66 inference(split_clause,[status(thm)],[f122057,f122054,f120111,f119012])).
% 288.51/36.66 fof(f122065,plain,(
% 288.51/36.66 spl0_1703 <=> member(sk0_21(sk0_18,singleton(sk0_18)),sk0_20(empty_set,singleton(sk0_18)))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f122068,plain,(
% 288.51/36.66 ~member(sk0_21(sk0_18,singleton(sk0_18)),sk0_20(empty_set,singleton(sk0_18)))|pd0_0(empty_set,singleton(sk0_18))|~spl0_1635),
% 288.51/36.66 inference(resolution,[status(thm)],[f119013,f5102])).
% 288.51/36.66 fof(f122069,plain,(
% 288.51/36.66 ~spl0_1703|spl0_1649|~spl0_1635),
% 288.51/36.66 inference(split_clause,[status(thm)],[f122068,f122065,f119950,f119012])).
% 288.51/36.66 fof(f122076,plain,(
% 288.51/36.66 spl0_1705 <=> pd0_0(singleton(sk0_18),empty_set)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f122077,plain,(
% 288.51/36.66 pd0_0(singleton(sk0_18),empty_set)|~spl0_1705),
% 288.51/36.66 inference(component_clause,[status(thm)],[f122076])).
% 288.51/36.66 fof(f122091,plain,(
% 288.51/36.66 spl0_1707 <=> empty_set=unaryUnion(singleton(singleton(sk0_18)))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f122092,plain,(
% 288.51/36.66 empty_set=unaryUnion(singleton(singleton(sk0_18)))|~spl0_1707),
% 288.51/36.66 inference(component_clause,[status(thm)],[f122091])).
% 288.51/36.66 fof(f122100,plain,(
% 288.51/36.66 spl0_1709 <=> singleton(sk0_18)=empty_set),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f122101,plain,(
% 288.51/36.66 singleton(sk0_18)=empty_set|~spl0_1709),
% 288.51/36.66 inference(component_clause,[status(thm)],[f122100])).
% 288.51/36.66 fof(f122131,plain,(
% 288.51/36.66 ~member(sk0_21(sk0_18,singleton(sk0_18)),sk0_18)|~spl0_1635),
% 288.51/36.66 inference(resolution,[status(thm)],[f119013,f179])).
% 288.51/36.66 fof(f122136,plain,(
% 288.51/36.66 $false|~spl0_231|~spl0_167|~spl0_1705),
% 288.51/36.66 inference(forward_subsumption_resolution,[status(thm)],[f122077,f96958])).
% 288.51/36.66 fof(f122137,plain,(
% 288.51/36.66 ~spl0_231|~spl0_167|~spl0_1705),
% 288.51/36.66 inference(contradiction_clause,[status(thm)],[f122136])).
% 288.51/36.66 fof(f122164,plain,(
% 288.51/36.66 ~partition(empty_set,unaryUnion(singleton(empty_set)))|~spl0_231|~spl0_167|~spl0_1709),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f122101,f97537])).
% 288.51/36.66 fof(f122165,plain,(
% 288.51/36.66 ~partition(empty_set,empty_set)|~spl0_114|~spl0_231|~spl0_167|~spl0_1709),
% 288.51/36.66 inference(forward_demodulation,[status(thm)],[f11064,f122164])).
% 288.51/36.66 fof(f122166,plain,(
% 288.51/36.66 $false|~spl0_114|~spl0_231|~spl0_167|~spl0_1709),
% 288.51/36.66 inference(forward_subsumption_resolution,[status(thm)],[f122165,f5920])).
% 288.51/36.66 fof(f122167,plain,(
% 288.51/36.66 ~spl0_114|~spl0_231|~spl0_167|~spl0_1709),
% 288.51/36.66 inference(contradiction_clause,[status(thm)],[f122166])).
% 288.51/36.66 fof(f122306,plain,(
% 288.51/36.66 spl0_1717 <=> sk0_20(empty_set,sk0_18)=empty_set),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f122307,plain,(
% 288.51/36.66 sk0_20(empty_set,sk0_18)=empty_set|~spl0_1717),
% 288.51/36.66 inference(component_clause,[status(thm)],[f122306])).
% 288.51/36.66 fof(f122309,plain,(
% 288.51/36.66 spl0_1718 <=> disjoint(sk0_17(sk0_20(empty_set,sk0_18),power_set(empty_set)),X0)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f122312,plain,(
% 288.51/36.66 ![X0]: (sk0_20(empty_set,sk0_18)=empty_set|disjoint(sk0_17(sk0_20(empty_set,sk0_18),power_set(empty_set)),X0)|~spl0_1660|~spl0_231)),
% 288.51/36.66 inference(resolution,[status(thm)],[f120083,f119860])).
% 288.51/36.66 fof(f122313,plain,(
% 288.51/36.66 spl0_1717|spl0_1718|~spl0_1660|~spl0_231),
% 288.51/36.66 inference(split_clause,[status(thm)],[f122312,f122306,f122309,f120082,f12505])).
% 288.51/36.66 fof(f122314,plain,(
% 288.51/36.66 spl0_1719 <=> disjoint(X0,sk0_17(sk0_20(empty_set,sk0_18),power_set(empty_set)))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f122317,plain,(
% 288.51/36.66 ![X0]: (sk0_20(empty_set,sk0_18)=empty_set|disjoint(X0,sk0_17(sk0_20(empty_set,sk0_18),power_set(empty_set)))|~spl0_1660|~spl0_231)),
% 288.51/36.66 inference(resolution,[status(thm)],[f120083,f119858])).
% 288.51/36.66 fof(f122318,plain,(
% 288.51/36.66 spl0_1717|spl0_1719|~spl0_1660|~spl0_231),
% 288.51/36.66 inference(split_clause,[status(thm)],[f122317,f122306,f122314,f120082,f12505])).
% 288.51/36.66 fof(f122319,plain,(
% 288.51/36.66 spl0_1720 <=> subset(sk0_17(sk0_20(empty_set,sk0_18),power_set(empty_set)),X0)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f122322,plain,(
% 288.51/36.66 ![X0]: (sk0_20(empty_set,sk0_18)=empty_set|subset(sk0_17(sk0_20(empty_set,sk0_18),power_set(empty_set)),X0)|~spl0_1660|~spl0_231)),
% 288.51/36.66 inference(resolution,[status(thm)],[f120083,f119854])).
% 288.51/36.66 fof(f122323,plain,(
% 288.51/36.66 spl0_1717|spl0_1720|~spl0_1660|~spl0_231),
% 288.51/36.66 inference(split_clause,[status(thm)],[f122322,f122306,f122319,f120082,f12505])).
% 288.51/36.66 fof(f122324,plain,(
% 288.51/36.66 spl0_1721 <=> pd0_0(sk0_17(sk0_20(empty_set,sk0_18),power_set(empty_set)),empty_set)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f122327,plain,(
% 288.51/36.66 sk0_20(empty_set,sk0_18)=empty_set|pd0_0(sk0_17(sk0_20(empty_set,sk0_18),power_set(empty_set)),empty_set)|~spl0_1660|~spl0_231),
% 288.51/36.66 inference(resolution,[status(thm)],[f120083,f119852])).
% 288.51/36.66 fof(f122328,plain,(
% 288.51/36.66 spl0_1717|spl0_1721|~spl0_1660|~spl0_231),
% 288.51/36.66 inference(split_clause,[status(thm)],[f122327,f122306,f122324,f120082,f12505])).
% 288.51/36.66 fof(f122329,plain,(
% 288.51/36.66 spl0_1722 <=> empty_set=unaryUnion(sk0_17(sk0_20(empty_set,sk0_18),power_set(empty_set)))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f122332,plain,(
% 288.51/36.66 sk0_20(empty_set,sk0_18)=empty_set|empty_set=unaryUnion(sk0_17(sk0_20(empty_set,sk0_18),power_set(empty_set)))|~spl0_1660|~spl0_231),
% 288.51/36.66 inference(resolution,[status(thm)],[f120083,f119850])).
% 288.51/36.66 fof(f122333,plain,(
% 288.51/36.66 spl0_1717|spl0_1722|~spl0_1660|~spl0_231),
% 288.51/36.66 inference(split_clause,[status(thm)],[f122332,f122306,f122329,f120082,f12505])).
% 288.51/36.66 fof(f122349,plain,(
% 288.51/36.66 spl0_1724 <=> member(sk0_21(empty_set,sk0_18),empty_set)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f122350,plain,(
% 288.51/36.66 member(sk0_21(empty_set,sk0_18),empty_set)|~spl0_1724),
% 288.51/36.66 inference(component_clause,[status(thm)],[f122349])).
% 288.51/36.66 fof(f122352,plain,(
% 288.51/36.66 pd0_0(empty_set,sk0_18)|~subset(empty_set,empty_set)|member(sk0_21(empty_set,sk0_18),empty_set)|~spl0_1717),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f122307,f156])).
% 288.51/36.66 fof(f122353,plain,(
% 288.51/36.66 spl0_1661|~spl0_171|spl0_1724|~spl0_1717),
% 288.51/36.66 inference(split_clause,[status(thm)],[f122352,f120085,f7812,f122349,f122306])).
% 288.51/36.66 fof(f122356,plain,(
% 288.51/36.66 $false|~spl0_231|~spl0_167|~spl0_1724),
% 288.51/36.66 inference(forward_subsumption_resolution,[status(thm)],[f122350,f89782])).
% 288.51/36.66 fof(f122357,plain,(
% 288.51/36.66 ~spl0_231|~spl0_167|~spl0_1724),
% 288.51/36.66 inference(contradiction_clause,[status(thm)],[f122356])).
% 288.51/36.66 fof(f122388,plain,(
% 288.51/36.66 spl0_1725 <=> sk0_17(empty_set,sk0_18)=empty_set),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f122389,plain,(
% 288.51/36.66 sk0_17(empty_set,sk0_18)=empty_set|~spl0_1725),
% 288.51/36.66 inference(component_clause,[status(thm)],[f122388])).
% 288.51/36.66 fof(f122419,plain,(
% 288.51/36.66 spl0_1731 <=> member(sk0_16(empty_set,sk0_18),empty_set)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f122420,plain,(
% 288.51/36.66 member(sk0_16(empty_set,sk0_18),empty_set)|~spl0_1731),
% 288.51/36.66 inference(component_clause,[status(thm)],[f122419])).
% 288.51/36.66 fof(f122422,plain,(
% 288.51/36.66 empty_set=unaryUnion(sk0_18)|member(sk0_16(empty_set,sk0_18),empty_set)|~spl0_1659),
% 288.51/36.66 inference(resolution,[status(thm)],[f120070,f142])).
% 288.51/36.66 fof(f122423,plain,(
% 288.51/36.66 spl0_1647|spl0_1731|~spl0_1659),
% 288.51/36.66 inference(split_clause,[status(thm)],[f122422,f119934,f122419,f120069])).
% 288.51/36.66 fof(f122427,plain,(
% 288.51/36.66 $false|~spl0_231|~spl0_167|~spl0_1731),
% 288.51/36.66 inference(forward_subsumption_resolution,[status(thm)],[f122420,f89782])).
% 288.51/36.66 fof(f122428,plain,(
% 288.51/36.66 ~spl0_231|~spl0_167|~spl0_1731),
% 288.51/36.66 inference(contradiction_clause,[status(thm)],[f122427])).
% 288.51/36.66 fof(f122431,plain,(
% 288.51/36.66 ~pd0_0(sk0_18,empty_set)|~spl0_1682|~spl0_231|~spl0_167),
% 288.51/36.66 inference(resolution,[status(thm)],[f120390,f93708])).
% 288.51/36.66 fof(f122432,plain,(
% 288.51/36.66 ~spl0_1663|~spl0_1682|~spl0_231|~spl0_167),
% 288.51/36.66 inference(split_clause,[status(thm)],[f122431,f120096,f120389,f12505,f7695])).
% 288.51/36.66 fof(f122662,plain,(
% 288.51/36.66 spl0_1734 <=> member(product(empty_set),sk0_18)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f122664,plain,(
% 288.51/36.66 ~member(product(empty_set),sk0_18)|spl0_1734),
% 288.51/36.66 inference(component_clause,[status(thm)],[f122662])).
% 288.51/36.66 fof(f122665,plain,(
% 288.51/36.66 ![X0]: (~member(product(empty_set),sk0_18)|member(X0,empty_set)|~spl0_1647)),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f119935,f38984])).
% 288.51/36.66 fof(f122666,plain,(
% 288.51/36.66 ~spl0_1734|spl0_137|~spl0_1647),
% 288.51/36.66 inference(split_clause,[status(thm)],[f122665,f122662,f6985,f119934])).
% 288.51/36.66 fof(f123015,plain,(
% 288.51/36.66 spl0_1735 <=> sk0_18=unaryUnion(X0)|member(sk0_17(sk0_18,X0),X0)|~member(sk0_16(sk0_18,X0),sk0_16(sk0_18,X0))|sk0_18=sk0_16(sk0_18,X0)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f123018,plain,(
% 288.51/36.66 spl0_1736 <=> member(sk0_18,sk0_18)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f123019,plain,(
% 288.51/36.66 member(sk0_18,sk0_18)|~spl0_1736),
% 288.51/36.66 inference(component_clause,[status(thm)],[f123018])).
% 288.51/36.66 fof(f123020,plain,(
% 288.51/36.66 ~member(sk0_18,sk0_18)|spl0_1736),
% 288.51/36.66 inference(component_clause,[status(thm)],[f123018])).
% 288.51/36.66 fof(f123021,plain,(
% 288.51/36.66 ![X0]: (sk0_18=unaryUnion(X0)|member(sk0_17(sk0_18,X0),X0)|~member(sk0_18,sk0_18)|~member(sk0_16(sk0_18,X0),sk0_16(sk0_18,X0))|sk0_18=sk0_16(sk0_18,X0)|~spl0_1667)),
% 288.51/36.66 inference(resolution,[status(thm)],[f97224,f120157])).
% 288.51/36.66 fof(f123022,plain,(
% 288.51/36.66 spl0_1735|~spl0_1736|~spl0_1667),
% 288.51/36.66 inference(split_clause,[status(thm)],[f123021,f123015,f123018,f120128])).
% 288.51/36.66 fof(f123032,plain,(
% 288.51/36.66 spl0_1737 <=> singleton(sk0_18)=unaryUnion(X0)|member(sk0_17(singleton(sk0_18),X0),X0)|~member(sk0_16(singleton(sk0_18),X0),sk0_16(singleton(sk0_18),X0))|singleton(sk0_18)=sk0_16(singleton(sk0_18),X0)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f123035,plain,(
% 288.51/36.66 spl0_1738 <=> member(singleton(sk0_18),singleton(sk0_18))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f123038,plain,(
% 288.51/36.66 ![X0]: (singleton(sk0_18)=unaryUnion(X0)|member(sk0_17(singleton(sk0_18),X0),X0)|~member(singleton(sk0_18),singleton(sk0_18))|~member(sk0_16(singleton(sk0_18),X0),sk0_16(singleton(sk0_18),X0))|singleton(sk0_18)=sk0_16(singleton(sk0_18),X0)|~spl0_1653)),
% 288.51/36.66 inference(resolution,[status(thm)],[f97224,f120027])).
% 288.51/36.66 fof(f123039,plain,(
% 288.51/36.66 spl0_1737|~spl0_1738|~spl0_1653),
% 288.51/36.66 inference(split_clause,[status(thm)],[f123038,f123032,f123035,f120026])).
% 288.51/36.66 fof(f123490,plain,(
% 288.51/36.66 sk0_2(singleton(sk0_18),sk0_18)=sk0_18|spl0_1736),
% 288.51/36.66 inference(resolution,[status(thm)],[f123020,f1774])).
% 288.51/36.66 fof(f123494,plain,(
% 288.51/36.66 empty_set=unaryUnion(sk0_18)|member(sk0_16(empty_set,sk0_18),empty_set)|member(sk0_16(empty_set,sk0_18),empty_set)|~spl0_1725),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f122389,f142])).
% 288.51/36.66 fof(f123495,plain,(
% 288.51/36.66 spl0_1647|spl0_1731|~spl0_1725),
% 288.51/36.66 inference(split_clause,[status(thm)],[f123494,f119934,f122419,f122388])).
% 288.51/36.66 fof(f123508,plain,(
% 288.51/36.66 sk0_18=empty_set|subset(product(sk0_18),empty_set)|~spl0_1666|~spl0_231|~spl0_167),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f120380,f101241])).
% 288.51/36.66 fof(f123509,plain,(
% 288.51/36.66 spl0_1648|spl0_1681|~spl0_1666|~spl0_231|~spl0_167),
% 288.51/36.66 inference(split_clause,[status(thm)],[f123508,f119939,f120384,f120118,f12505,f7695])).
% 288.51/36.66 fof(f123510,plain,(
% 288.51/36.66 sk0_18=empty_set|member(empty_set,sk0_18)|~spl0_1666|~spl0_231|~spl0_167),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f120380,f97234])).
% 288.51/36.66 fof(f123511,plain,(
% 288.51/36.66 spl0_1648|spl0_1682|~spl0_1666|~spl0_231|~spl0_167),
% 288.51/36.66 inference(split_clause,[status(thm)],[f123510,f119939,f120389,f120118,f12505,f7695])).
% 288.51/36.66 fof(f123512,plain,(
% 288.51/36.66 ![X0]: (sk0_18=unaryUnion(empty_set)|~member(empty_set,sk0_18)|~member(sk0_16(sk0_18,empty_set),X0)|~member(X0,empty_set)|~spl0_1666|~spl0_231|~spl0_167)),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f120380,f141])).
% 288.51/36.66 fof(f123513,plain,(
% 288.51/36.66 spl0_1683|~spl0_1682|spl0_1684|~spl0_1666|~spl0_231|~spl0_167),
% 288.51/36.66 inference(split_clause,[status(thm)],[f123512,f120394,f120389,f120397,f120118,f12505,f7695])).
% 288.51/36.66 fof(f123514,plain,(
% 288.51/36.66 sk0_18=unaryUnion(empty_set)|member(sk0_16(sk0_18,empty_set),sk0_18)|member(empty_set,sk0_17(sk0_18,empty_set))|~spl0_1666|~spl0_231|~spl0_167),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f120380,f142])).
% 288.51/36.66 fof(f123515,plain,(
% 288.51/36.66 spl0_1683|spl0_1685|spl0_1686|~spl0_1666|~spl0_231|~spl0_167),
% 288.51/36.66 inference(split_clause,[status(thm)],[f123514,f120394,f120402,f120405,f120118,f12505,f7695])).
% 288.51/36.66 fof(f123518,plain,(
% 288.51/36.66 pd0_0(sk0_18,empty_set)|member(empty_set,sk0_18)|~spl0_1662|~spl0_231|~spl0_167),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f120498,f5086])).
% 288.51/36.66 fof(f123519,plain,(
% 288.51/36.66 spl0_1663|spl0_1682|~spl0_1662|~spl0_231|~spl0_167),
% 288.51/36.66 inference(split_clause,[status(thm)],[f123518,f120096,f120389,f120093,f12505,f7695])).
% 288.51/36.66 fof(f123674,plain,(
% 288.51/36.66 spl0_1741 <=> member(sk0_6(empty_set,singleton(sk0_18)),sk0_18)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f123681,plain,(
% 288.51/36.66 spl0_1742 <=> sk0_20(empty_set,singleton(sk0_18))=sk0_18),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f123684,plain,(
% 288.51/36.66 spl0_1743 <=> subset(empty_set,sk0_18)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f123686,plain,(
% 288.51/36.66 ~subset(empty_set,sk0_18)|spl0_1743),
% 288.51/36.66 inference(component_clause,[status(thm)],[f123684])).
% 288.51/36.66 fof(f123687,plain,(
% 288.51/36.66 sk0_20(empty_set,singleton(sk0_18))=sk0_18|~subset(empty_set,sk0_18)|spl0_1649|~spl0_231|~spl0_167|~spl0_114),
% 288.51/36.66 inference(resolution,[status(thm)],[f119952,f119083])).
% 288.51/36.66 fof(f123688,plain,(
% 288.51/36.66 spl0_1742|~spl0_1743|spl0_1649|~spl0_231|~spl0_167|~spl0_114),
% 288.51/36.66 inference(split_clause,[status(thm)],[f123687,f123681,f123684,f119950,f12505,f7695,f5919])).
% 288.51/36.66 fof(f123702,plain,(
% 288.51/36.66 $false|spl0_1743),
% 288.51/36.66 inference(forward_subsumption_resolution,[status(thm)],[f123686,f186])).
% 288.51/36.66 fof(f123703,plain,(
% 288.51/36.66 spl0_1743),
% 288.51/36.66 inference(contradiction_clause,[status(thm)],[f123702])).
% 288.51/36.66 fof(f123718,plain,(
% 288.51/36.66 partition(singleton(sk0_18),empty_set)|~pd0_0(empty_set,singleton(sk0_18))|member(sk0_6(empty_set,singleton(sk0_18)),sk0_18)|~spl0_1654),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f120030,f93])).
% 288.51/36.66 fof(f123719,plain,(
% 288.51/36.66 spl0_1653|~spl0_1649|spl0_1741|~spl0_1654),
% 288.51/36.66 inference(split_clause,[status(thm)],[f123718,f120026,f119950,f123674,f120029])).
% 288.51/36.66 fof(f123735,plain,(
% 288.51/36.66 spl0_1746 <=> subset(sk0_17(empty_set,sk0_18),empty_set)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f123736,plain,(
% 288.51/36.66 subset(sk0_17(empty_set,sk0_18),empty_set)|~spl0_1746),
% 288.51/36.66 inference(component_clause,[status(thm)],[f123735])).
% 288.51/36.66 fof(f123738,plain,(
% 288.51/36.66 subset(sk0_17(empty_set,sk0_18),empty_set)|empty_set=unaryUnion(sk0_18)|~spl0_1667),
% 288.51/36.66 inference(resolution,[status(thm)],[f120155,f4550])).
% 288.51/36.66 fof(f123739,plain,(
% 288.51/36.66 spl0_1746|spl0_1647|~spl0_1667),
% 288.51/36.66 inference(split_clause,[status(thm)],[f123738,f123735,f119934,f120128])).
% 288.51/36.66 fof(f123747,plain,(
% 288.51/36.66 spl0_1747 <=> subset(sk0_20(empty_set,sk0_18),empty_set)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f123748,plain,(
% 288.51/36.66 subset(sk0_20(empty_set,sk0_18),empty_set)|~spl0_1747),
% 288.51/36.66 inference(component_clause,[status(thm)],[f123747])).
% 288.51/36.66 fof(f123750,plain,(
% 288.51/36.66 subset(sk0_20(empty_set,sk0_18),empty_set)|pd0_0(empty_set,sk0_18)|~spl0_1667),
% 288.51/36.66 inference(resolution,[status(thm)],[f120155,f5102])).
% 288.51/36.66 fof(f123751,plain,(
% 288.51/36.66 spl0_1747|spl0_1661|~spl0_1667),
% 288.51/36.66 inference(split_clause,[status(thm)],[f123750,f123747,f120085,f120128])).
% 288.51/36.66 fof(f123755,plain,(
% 288.51/36.66 spl0_1748 <=> subset(sk0_21(sk0_18,empty_set),empty_set)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f123756,plain,(
% 288.51/36.66 subset(sk0_21(sk0_18,empty_set),empty_set)|~spl0_1748),
% 288.51/36.66 inference(component_clause,[status(thm)],[f123755])).
% 288.51/36.66 fof(f123758,plain,(
% 288.51/36.66 subset(sk0_21(sk0_18,empty_set),empty_set)|pd0_0(sk0_18,empty_set)|~spl0_1667),
% 288.51/36.66 inference(resolution,[status(thm)],[f120155,f5086])).
% 288.51/36.66 fof(f123759,plain,(
% 288.51/36.66 spl0_1748|spl0_1663|~spl0_1667),
% 288.51/36.66 inference(split_clause,[status(thm)],[f123758,f123755,f120096,f120128])).
% 288.51/36.66 fof(f123767,plain,(
% 288.51/36.66 spl0_1749 <=> subset(sk0_16(empty_set,singleton(sk0_18)),empty_set)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f123770,plain,(
% 288.51/36.66 subset(sk0_16(empty_set,singleton(sk0_18)),empty_set)|empty_set=unaryUnion(singleton(sk0_18))|~spl0_1667|~spl0_231|~spl0_167),
% 288.51/36.66 inference(resolution,[status(thm)],[f120155,f90025])).
% 288.51/36.66 fof(f123771,plain,(
% 288.51/36.66 spl0_1749|spl0_1665|~spl0_1667|~spl0_231|~spl0_167),
% 288.51/36.66 inference(split_clause,[status(thm)],[f123770,f123767,f120111,f120128,f12505,f7695])).
% 288.51/36.66 fof(f123774,plain,(
% 288.51/36.66 spl0_1750 <=> subset(sk0_16(sk0_18,power_set(empty_set)),empty_set)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f123777,plain,(
% 288.51/36.66 spl0_1751 <=> X0=unaryUnion(sk0_17(sk0_18,power_set(empty_set)))|member(sk0_16(X0,sk0_17(sk0_18,power_set(empty_set))),X0)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f123780,plain,(
% 288.51/36.66 ![X0]: (subset(sk0_16(sk0_18,power_set(empty_set)),empty_set)|sk0_18=empty_set|X0=unaryUnion(sk0_17(sk0_18,power_set(empty_set)))|member(sk0_16(X0,sk0_17(sk0_18,power_set(empty_set))),X0)|~spl0_1667|~spl0_231)),
% 288.51/36.66 inference(resolution,[status(thm)],[f120155,f120162])).
% 288.51/36.66 fof(f123781,plain,(
% 288.51/36.66 spl0_1750|spl0_1648|spl0_1751|~spl0_1667|~spl0_231),
% 288.51/36.66 inference(split_clause,[status(thm)],[f123780,f123774,f119939,f123777,f120128,f12505])).
% 288.51/36.66 fof(f123782,plain,(
% 288.51/36.66 spl0_1752 <=> sk0_16(singleton(X0),sk0_17(sk0_18,power_set(empty_set)))=X0|singleton(X0)=unaryUnion(sk0_17(sk0_18,power_set(empty_set)))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f123785,plain,(
% 288.51/36.66 ![X0]: (subset(sk0_16(sk0_18,power_set(empty_set)),empty_set)|sk0_18=empty_set|sk0_16(singleton(X0),sk0_17(sk0_18,power_set(empty_set)))=X0|singleton(X0)=unaryUnion(sk0_17(sk0_18,power_set(empty_set)))|~spl0_1667|~spl0_231)),
% 288.51/36.66 inference(resolution,[status(thm)],[f120155,f120161])).
% 288.51/36.66 fof(f123786,plain,(
% 288.51/36.66 spl0_1750|spl0_1648|spl0_1752|~spl0_1667|~spl0_231),
% 288.51/36.66 inference(split_clause,[status(thm)],[f123785,f123774,f119939,f123782,f120128,f12505])).
% 288.51/36.66 fof(f123787,plain,(
% 288.51/36.66 spl0_1753 <=> disjoint(sk0_17(sk0_18,power_set(empty_set)),X0)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f123788,plain,(
% 288.51/36.66 ![X0]: (disjoint(sk0_17(sk0_18,power_set(empty_set)),X0)|~spl0_1753)),
% 288.51/36.66 inference(component_clause,[status(thm)],[f123787])).
% 288.51/36.66 fof(f123790,plain,(
% 288.51/36.66 ![X0]: (subset(sk0_16(sk0_18,power_set(empty_set)),empty_set)|sk0_18=empty_set|disjoint(sk0_17(sk0_18,power_set(empty_set)),X0)|~spl0_1667|~spl0_231)),
% 288.51/36.66 inference(resolution,[status(thm)],[f120155,f119860])).
% 288.51/36.66 fof(f123791,plain,(
% 288.51/36.66 spl0_1750|spl0_1648|spl0_1753|~spl0_1667|~spl0_231),
% 288.51/36.66 inference(split_clause,[status(thm)],[f123790,f123774,f119939,f123787,f120128,f12505])).
% 288.51/36.66 fof(f123792,plain,(
% 288.51/36.66 spl0_1754 <=> disjoint(X0,sk0_17(sk0_18,power_set(empty_set)))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f123795,plain,(
% 288.51/36.66 ![X0]: (subset(sk0_16(sk0_18,power_set(empty_set)),empty_set)|sk0_18=empty_set|disjoint(X0,sk0_17(sk0_18,power_set(empty_set)))|~spl0_1667|~spl0_231)),
% 288.51/36.66 inference(resolution,[status(thm)],[f120155,f119858])).
% 288.51/36.66 fof(f123796,plain,(
% 288.51/36.66 spl0_1750|spl0_1648|spl0_1754|~spl0_1667|~spl0_231),
% 288.51/36.66 inference(split_clause,[status(thm)],[f123795,f123774,f119939,f123792,f120128,f12505])).
% 288.51/36.66 fof(f123797,plain,(
% 288.51/36.66 spl0_1755 <=> subset(sk0_17(sk0_18,power_set(empty_set)),X0)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f123798,plain,(
% 288.51/36.66 ![X0]: (subset(sk0_17(sk0_18,power_set(empty_set)),X0)|~spl0_1755)),
% 288.51/36.66 inference(component_clause,[status(thm)],[f123797])).
% 288.51/36.66 fof(f123802,plain,(
% 288.51/36.66 spl0_1756 <=> pd0_0(sk0_17(sk0_18,power_set(empty_set)),empty_set)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f123805,plain,(
% 288.51/36.66 subset(sk0_16(sk0_18,power_set(empty_set)),empty_set)|sk0_18=empty_set|pd0_0(sk0_17(sk0_18,power_set(empty_set)),empty_set)|~spl0_1667|~spl0_231),
% 288.51/36.66 inference(resolution,[status(thm)],[f120155,f119852])).
% 288.51/36.66 fof(f123806,plain,(
% 288.51/36.66 spl0_1750|spl0_1648|spl0_1756|~spl0_1667|~spl0_231),
% 288.51/36.66 inference(split_clause,[status(thm)],[f123805,f123774,f119939,f123802,f120128,f12505])).
% 288.51/36.66 fof(f123807,plain,(
% 288.51/36.66 subset(sk0_16(sk0_18,power_set(empty_set)),empty_set)|sk0_18=empty_set|empty_set=unaryUnion(sk0_17(sk0_18,power_set(empty_set)))|~spl0_1667|~spl0_231),
% 288.51/36.66 inference(resolution,[status(thm)],[f120155,f119850])).
% 288.51/36.66 fof(f123808,plain,(
% 288.51/36.66 spl0_1750|spl0_1648|spl0_1678|~spl0_1667|~spl0_231),
% 288.51/36.66 inference(split_clause,[status(thm)],[f123807,f123774,f119939,f120337,f120128,f12505])).
% 288.51/36.66 fof(f123811,plain,(
% 288.51/36.66 spl0_1757 <=> subset(sk0_16(sk0_18,empty_set),empty_set)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f123812,plain,(
% 288.51/36.66 subset(sk0_16(sk0_18,empty_set),empty_set)|~spl0_1757),
% 288.51/36.66 inference(component_clause,[status(thm)],[f123811])).
% 288.51/36.66 fof(f123814,plain,(
% 288.51/36.66 subset(sk0_16(sk0_18,empty_set),empty_set)|sk0_18=empty_set|~spl0_1667|~spl0_231|~spl0_167),
% 288.51/36.66 inference(resolution,[status(thm)],[f120155,f97234])).
% 288.51/36.66 fof(f123815,plain,(
% 288.51/36.66 spl0_1757|spl0_1648|~spl0_1667|~spl0_231|~spl0_167),
% 288.51/36.66 inference(split_clause,[status(thm)],[f123814,f123811,f119939,f120128,f12505,f7695])).
% 288.51/36.66 fof(f124133,plain,(
% 288.51/36.66 ![X0,X1,X2]: (member(X0,union(union(X1,singleton(X0)),X2)))),
% 288.51/36.66 inference(resolution,[status(thm)],[f44193,f9836])).
% 288.51/36.66 fof(f124134,plain,(
% 288.51/36.66 ![X0,X1,X2]: (member(X0,union(union(singleton(X0),X1),X2)))),
% 288.51/36.66 inference(resolution,[status(thm)],[f44193,f9811])).
% 288.51/36.66 fof(f124159,plain,(
% 288.51/36.66 ![X0,X1,X2]: (member(X0,insertIntoMember(X0,X1,X2)))),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f134,f124133])).
% 288.51/36.66 fof(f124198,plain,(
% 288.51/36.66 spl0_1761 <=> ~member(empty_set,insertIntoMember(empty_set,X0,X1))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f124199,plain,(
% 288.51/36.66 ![X0,X1]: (~member(empty_set,insertIntoMember(empty_set,X0,X1))|~spl0_1761)),
% 288.51/36.66 inference(component_clause,[status(thm)],[f124198])).
% 288.51/36.66 fof(f124221,plain,(
% 288.51/36.66 $false|~spl0_1761),
% 288.51/36.66 inference(forward_subsumption_resolution,[status(thm)],[f124199,f124159])).
% 288.51/36.66 fof(f124222,plain,(
% 288.51/36.66 ~spl0_1761),
% 288.51/36.66 inference(contradiction_clause,[status(thm)],[f124221])).
% 288.51/36.66 fof(f124279,plain,(
% 288.51/36.66 ![X0,X1,X2]: (member(X0,insertIntoMember(X1,singleton(X0),X2)))),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f134,f124134])).
% 288.51/36.66 fof(f124544,plain,(
% 288.51/36.66 spl0_1762 <=> ~member(empty_set,insertIntoMember(X0,singleton(empty_set),X1))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f124545,plain,(
% 288.51/36.66 ![X0,X1]: (~member(empty_set,insertIntoMember(X0,singleton(empty_set),X1))|~spl0_1762)),
% 288.51/36.66 inference(component_clause,[status(thm)],[f124544])).
% 288.51/36.66 fof(f124567,plain,(
% 288.51/36.66 $false|~spl0_1762),
% 288.51/36.66 inference(forward_subsumption_resolution,[status(thm)],[f124545,f124279])).
% 288.51/36.66 fof(f124568,plain,(
% 288.51/36.66 ~spl0_1762),
% 288.51/36.66 inference(contradiction_clause,[status(thm)],[f124567])).
% 288.51/36.66 fof(f124854,plain,(
% 288.51/36.66 product(sk0_17(sk0_18,empty_set))=empty_set|~spl0_1686),
% 288.51/36.66 inference(resolution,[status(thm)],[f120406,f28358])).
% 288.51/36.66 fof(f124860,plain,(
% 288.51/36.66 ![X0]: (sk0_18=unaryUnion(empty_set)|~member(sk0_16(sk0_18,empty_set),X0)|~member(X0,empty_set)|~spl0_1685)),
% 288.51/36.66 inference(resolution,[status(thm)],[f120403,f141])).
% 288.51/36.66 fof(f124861,plain,(
% 288.51/36.66 spl0_1683|spl0_1684|~spl0_1685),
% 288.51/36.66 inference(split_clause,[status(thm)],[f124860,f120394,f120397,f120402])).
% 288.51/36.66 fof(f124943,plain,(
% 288.51/36.66 spl0_1768 <=> disjoint(sk0_18,singleton(empty_set))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f124944,plain,(
% 288.51/36.66 disjoint(sk0_18,singleton(empty_set))|~spl0_1768),
% 288.51/36.66 inference(component_clause,[status(thm)],[f124943])).
% 288.51/36.66 fof(f124950,plain,(
% 288.51/36.66 ~member(empty_set,sk0_18)|~spl0_1768),
% 288.51/36.66 inference(resolution,[status(thm)],[f124944,f101192])).
% 288.51/36.66 fof(f124951,plain,(
% 288.51/36.66 $false|~spl0_1682|~spl0_1768),
% 288.51/36.66 inference(forward_subsumption_resolution,[status(thm)],[f124950,f120390])).
% 288.51/36.66 fof(f124952,plain,(
% 288.51/36.66 ~spl0_1682|~spl0_1768),
% 288.51/36.66 inference(contradiction_clause,[status(thm)],[f124951])).
% 288.51/36.66 fof(f124965,plain,(
% 288.51/36.66 ~partition(empty_set,empty_set)|~spl0_231|~spl0_167|~spl0_1707),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f122092,f97537])).
% 288.51/36.66 fof(f124966,plain,(
% 288.51/36.66 $false|~spl0_114|~spl0_231|~spl0_167|~spl0_1707),
% 288.51/36.66 inference(forward_subsumption_resolution,[status(thm)],[f124965,f5920])).
% 288.51/36.66 fof(f124967,plain,(
% 288.51/36.66 ~spl0_114|~spl0_231|~spl0_167|~spl0_1707),
% 288.51/36.66 inference(contradiction_clause,[status(thm)],[f124966])).
% 288.51/36.66 fof(f125138,plain,(
% 288.51/36.66 sk0_18=sk0_18|sk0_18=empty_set|~spl0_1682|~spl0_114),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f7039,f120515])).
% 288.51/36.66 fof(f125139,plain,(
% 288.51/36.66 spl0_1645|spl0_1648|~spl0_1682|~spl0_114),
% 288.51/36.66 inference(split_clause,[status(thm)],[f125138,f119926,f119939,f120389,f5919])).
% 288.51/36.66 fof(f125146,plain,(
% 288.51/36.66 pd0_0(empty_set,singleton(sk0_18))|member(sk0_18,singleton(sk0_18))|~spl0_1682|~spl0_114),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f120515,f5102])).
% 288.51/36.66 fof(f125147,plain,(
% 288.51/36.66 spl0_1649|spl0_1634|~spl0_1682|~spl0_114),
% 288.51/36.66 inference(split_clause,[status(thm)],[f125146,f119950,f119009,f120389,f5919])).
% 288.51/36.66 fof(f125152,plain,(
% 288.51/36.66 pd0_0(empty_set,singleton(sk0_18))|~subset(sk0_18,empty_set)|member(sk0_21(empty_set,singleton(sk0_18)),empty_set)|~spl0_1682|~spl0_114),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f120515,f156])).
% 288.51/36.66 fof(f125153,plain,(
% 288.51/36.66 spl0_1649|~spl0_1651|spl0_1652|~spl0_1682|~spl0_114),
% 288.51/36.66 inference(split_clause,[status(thm)],[f125152,f119950,f119960,f119965,f120389,f5919])).
% 288.51/36.66 fof(f125198,plain,(
% 288.51/36.66 spl0_1776 <=> member(sk0_18,product(singleton(sk0_18)))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f125199,plain,(
% 288.51/36.66 member(sk0_18,product(singleton(sk0_18)))|~spl0_1776),
% 288.51/36.66 inference(component_clause,[status(thm)],[f125198])).
% 288.51/36.66 fof(f125203,plain,(
% 288.51/36.66 member(sk0_18,product(singleton(sk0_18)))|member(sk0_18,singleton(sk0_18))|spl0_1736),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f123490,f74])).
% 288.51/36.66 fof(f125204,plain,(
% 288.51/36.66 spl0_1776|spl0_1634|spl0_1736),
% 288.51/36.66 inference(split_clause,[status(thm)],[f125203,f125198,f119009,f123018])).
% 288.51/36.66 fof(f125914,plain,(
% 288.51/36.66 spl0_1783 <=> ~member(X0,unaryUnion(empty_set))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f125931,plain,(
% 288.51/36.66 ![X0,X1,X2]: (~member(empty_set,insertIntoMember(X0,product(empty_set),X1))|~member(X2,unaryUnion(empty_set))|~spl0_167)),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f28406,f28316])).
% 288.51/36.66 fof(f125932,plain,(
% 288.51/36.66 spl0_682|spl0_1783|~spl0_167),
% 288.51/36.66 inference(split_clause,[status(thm)],[f125931,f32908,f125914,f7695])).
% 288.51/36.66 fof(f127120,plain,(
% 288.51/36.66 spl0_1784 <=> ~member(empty_set,union(sk0_18,X0))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f127121,plain,(
% 288.51/36.66 ![X0]: (~member(empty_set,union(sk0_18,X0))|~spl0_1784)),
% 288.51/36.66 inference(component_clause,[status(thm)],[f127120])).
% 288.51/36.66 fof(f127161,plain,(
% 288.51/36.66 spl0_1785 <=> ~member(empty_set,union(X0,sk0_18))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f127162,plain,(
% 288.51/36.66 ![X0]: (~member(empty_set,union(X0,sk0_18))|~spl0_1785)),
% 288.51/36.66 inference(component_clause,[status(thm)],[f127161])).
% 288.51/36.66 fof(f127196,plain,(
% 288.51/36.66 $false|~spl0_1784|~spl0_167),
% 288.51/36.66 inference(resolution,[status(thm)],[f127121,f102114])).
% 288.51/36.66 fof(f127197,plain,(
% 288.51/36.66 ~spl0_1784|~spl0_167),
% 288.51/36.66 inference(contradiction_clause,[status(thm)],[f127196])).
% 288.51/36.66 fof(f127198,plain,(
% 288.51/36.66 $false|~spl0_1785|~spl0_167),
% 288.51/36.66 inference(resolution,[status(thm)],[f127162,f102115])).
% 288.51/36.66 fof(f127199,plain,(
% 288.51/36.66 ~spl0_1785|~spl0_167),
% 288.51/36.66 inference(contradiction_clause,[status(thm)],[f127198])).
% 288.51/36.66 fof(f127357,plain,(
% 288.51/36.66 ![X0]: (~member(X0,sk0_16(sk0_18,empty_set))|~spl0_1757)),
% 288.51/36.66 inference(resolution,[status(thm)],[f123812,f5018])).
% 288.51/36.66 fof(f127358,plain,(
% 288.51/36.66 spl0_1666|~spl0_1757),
% 288.51/36.66 inference(split_clause,[status(thm)],[f127357,f120118,f123811])).
% 288.51/36.66 fof(f127361,plain,(
% 288.51/36.66 sk0_16(sk0_18,empty_set)=empty_set|~spl0_1757|~spl0_231|~spl0_167),
% 288.51/36.66 inference(resolution,[status(thm)],[f123812,f99045])).
% 288.51/36.66 fof(f127362,plain,(
% 288.51/36.66 spl0_1679|~spl0_1757|~spl0_231|~spl0_167),
% 288.51/36.66 inference(split_clause,[status(thm)],[f127361,f120370,f123811,f12505,f7695])).
% 288.51/36.66 fof(f127378,plain,(
% 288.51/36.66 sk0_21(sk0_18,empty_set)=empty_set|~spl0_1748|~spl0_231|~spl0_167),
% 288.51/36.66 inference(resolution,[status(thm)],[f123756,f99045])).
% 288.51/36.66 fof(f127384,plain,(
% 288.51/36.66 pd0_0(sk0_18,empty_set)|member(empty_set,sk0_18)|~spl0_1748|~spl0_231|~spl0_167),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f127378,f5086])).
% 288.51/36.66 fof(f127385,plain,(
% 288.51/36.66 spl0_1663|spl0_1682|~spl0_1748|~spl0_231|~spl0_167),
% 288.51/36.66 inference(split_clause,[status(thm)],[f127384,f120096,f120389,f123755,f12505,f7695])).
% 288.51/36.66 fof(f127400,plain,(
% 288.51/36.66 ![X0]: (~member(X0,sk0_20(empty_set,sk0_18))|~spl0_1747)),
% 288.51/36.66 inference(resolution,[status(thm)],[f123748,f5018])).
% 288.51/36.66 fof(f127401,plain,(
% 288.51/36.66 spl0_1660|~spl0_1747),
% 288.51/36.66 inference(split_clause,[status(thm)],[f127400,f120082,f123747])).
% 288.51/36.66 fof(f127404,plain,(
% 288.51/36.66 sk0_20(empty_set,sk0_18)=empty_set|~spl0_1747|~spl0_231|~spl0_167),
% 288.51/36.66 inference(resolution,[status(thm)],[f123748,f99045])).
% 288.51/36.66 fof(f127405,plain,(
% 288.51/36.66 spl0_1717|~spl0_1747|~spl0_231|~spl0_167),
% 288.51/36.66 inference(split_clause,[status(thm)],[f127404,f122306,f123747,f12505,f7695])).
% 288.51/36.66 fof(f127418,plain,(
% 288.51/36.66 ![X0]: (~member(X0,sk0_17(empty_set,sk0_18))|~spl0_1746)),
% 288.51/36.66 inference(resolution,[status(thm)],[f123736,f5018])).
% 288.51/36.66 fof(f127419,plain,(
% 288.51/36.66 spl0_1659|~spl0_1746),
% 288.51/36.66 inference(split_clause,[status(thm)],[f127418,f120069,f123735])).
% 288.51/36.66 fof(f127422,plain,(
% 288.51/36.66 sk0_17(empty_set,sk0_18)=empty_set|~spl0_1746|~spl0_231|~spl0_167),
% 288.51/36.66 inference(resolution,[status(thm)],[f123736,f99045])).
% 288.51/36.66 fof(f127423,plain,(
% 288.51/36.66 spl0_1725|~spl0_1746|~spl0_231|~spl0_167),
% 288.51/36.66 inference(split_clause,[status(thm)],[f127422,f122388,f123735,f12505,f7695])).
% 288.51/36.66 fof(f127448,plain,(
% 288.51/36.66 spl0_1792 <=> sk0_17(sk0_18,empty_set)=empty_set),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f127449,plain,(
% 288.51/36.66 sk0_17(sk0_18,empty_set)=empty_set|~spl0_1792),
% 288.51/36.66 inference(component_clause,[status(thm)],[f127448])).
% 288.51/36.66 fof(f127451,plain,(
% 288.51/36.66 spl0_1793 <=> subset(empty_set,sk0_16(sk0_17(sk0_18,empty_set),empty_set))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f127454,plain,(
% 288.51/36.66 sk0_17(sk0_18,empty_set)=empty_set|subset(empty_set,sk0_16(sk0_17(sk0_18,empty_set),empty_set))|~spl0_231|~spl0_167|~spl0_1686),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f124854,f101241])).
% 288.51/36.66 fof(f127455,plain,(
% 288.51/36.66 spl0_1792|spl0_1793|~spl0_231|~spl0_167|~spl0_1686),
% 288.51/36.66 inference(split_clause,[status(thm)],[f127454,f127448,f127451,f12505,f7695,f120405])).
% 288.51/36.66 fof(f127471,plain,(
% 288.51/36.66 spl0_1794 <=> member(sk0_16(sk0_18,empty_set),empty_set)),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f127472,plain,(
% 288.51/36.66 member(sk0_16(sk0_18,empty_set),empty_set)|~spl0_1794),
% 288.51/36.66 inference(component_clause,[status(thm)],[f127471])).
% 288.51/36.66 fof(f127474,plain,(
% 288.51/36.66 sk0_18=unaryUnion(empty_set)|member(sk0_16(sk0_18,empty_set),sk0_18)|member(sk0_16(sk0_18,empty_set),empty_set)|~spl0_1792),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f127449,f142])).
% 288.51/36.66 fof(f127475,plain,(
% 288.51/36.66 spl0_1683|spl0_1685|spl0_1794|~spl0_1792),
% 288.51/36.66 inference(split_clause,[status(thm)],[f127474,f120394,f120402,f127471,f127448])).
% 288.51/36.66 fof(f127478,plain,(
% 288.51/36.66 $false|~spl0_231|~spl0_167|~spl0_1794),
% 288.51/36.66 inference(forward_subsumption_resolution,[status(thm)],[f127472,f89782])).
% 288.51/36.66 fof(f127479,plain,(
% 288.51/36.66 ~spl0_231|~spl0_167|~spl0_1794),
% 288.51/36.66 inference(contradiction_clause,[status(thm)],[f127478])).
% 288.51/36.66 fof(f127480,plain,(
% 288.51/36.66 member(sk0_18,sk0_18)|~spl0_1776),
% 288.51/36.66 inference(resolution,[status(thm)],[f125199,f112881])).
% 288.51/36.66 fof(f127520,plain,(
% 288.51/36.66 ![X0]: (singleton(empty_set)=empty_set|~member(X0,sk0_16(singleton(empty_set),power_set(empty_set)))|~spl0_231|~spl0_150)),
% 288.51/36.66 inference(resolution,[status(thm)],[f120184,f7645])).
% 288.51/36.66 fof(f127521,plain,(
% 288.51/36.66 spl0_66|spl0_309|~spl0_231|~spl0_150),
% 288.51/36.66 inference(split_clause,[status(thm)],[f127520,f3425,f14868,f12505,f7241])).
% 288.51/36.66 fof(f127549,plain,(
% 288.51/36.66 spl0_1796 <=> pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(sk0_18))))=product(product(sk0_18))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f127552,plain,(
% 288.51/36.66 ![X0]: (~member(empty_set,sk0_18)|pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(sk0_18))))=product(product(sk0_18))|~spl0_114|~spl0_1681|~spl0_231|~spl0_167)),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f120432,f120912])).
% 288.51/36.66 fof(f127553,plain,(
% 288.51/36.66 ~spl0_1682|spl0_1796|~spl0_114|~spl0_1681|~spl0_231|~spl0_167),
% 288.51/36.66 inference(split_clause,[status(thm)],[f127552,f120389,f127549,f5919,f120384,f12505,f7695])).
% 288.51/36.66 fof(f127554,plain,(
% 288.51/36.66 spl0_1797 <=> pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(unaryUnion(power_set(power_set(empty_set)))))))=product(product(unaryUnion(power_set(power_set(empty_set)))))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f127557,plain,(
% 288.51/36.66 ![X0]: (~member(empty_set,unaryUnion(power_set(power_set(empty_set))))|pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(unaryUnion(power_set(power_set(empty_set)))))))=product(product(unaryUnion(power_set(power_set(empty_set)))))|~spl0_231|~spl0_167|~spl0_114)),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f112647,f120912])).
% 288.51/36.66 fof(f127558,plain,(
% 288.51/36.66 ~spl0_1619|spl0_1797|~spl0_231|~spl0_167|~spl0_114),
% 288.51/36.66 inference(split_clause,[status(thm)],[f127557,f118287,f127554,f12505,f7695,f5919])).
% 288.51/36.66 fof(f127559,plain,(
% 288.51/36.66 spl0_1798 <=> pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(unaryUnion(power_set(singleton(empty_set)))))))=product(product(unaryUnion(power_set(singleton(empty_set)))))),
% 288.51/36.66 introduced(split_symbol_definition)).
% 288.51/36.66 fof(f127562,plain,(
% 288.51/36.66 ![X0]: (~member(empty_set,unaryUnion(power_set(singleton(empty_set))))|pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(unaryUnion(power_set(singleton(empty_set)))))))=product(product(unaryUnion(power_set(singleton(empty_set)))))|~spl0_231|~spl0_167|~spl0_114)),
% 288.51/36.66 inference(paramodulation,[status(thm)],[f31866,f120912])).
% 288.51/36.66 fof(f127563,plain,(
% 288.51/36.66 ~spl0_737|spl0_1798|~spl0_231|~spl0_167|~spl0_114),
% 288.51/36.66 inference(split_clause,[status(thm)],[f127562,f39045,f127559,f12505,f7695,f5919])).
% 288.51/36.68 fof(f127564,plain,(
% 288.51/36.68 spl0_1799 <=> pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(unaryUnion(singleton(power_set(empty_set)))))))=product(product(unaryUnion(singleton(power_set(empty_set)))))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f127567,plain,(
% 288.51/36.68 ![X0]: (~member(empty_set,unaryUnion(singleton(power_set(empty_set))))|pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(unaryUnion(singleton(power_set(empty_set)))))))=product(product(unaryUnion(singleton(power_set(empty_set)))))|~spl0_231|~spl0_167|~spl0_114)),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f112631,f120912])).
% 288.51/36.68 fof(f127568,plain,(
% 288.51/36.68 ~spl0_1617|spl0_1799|~spl0_231|~spl0_167|~spl0_114),
% 288.51/36.68 inference(split_clause,[status(thm)],[f127567,f118242,f127564,f12505,f7695,f5919])).
% 288.51/36.68 fof(f127569,plain,(
% 288.51/36.68 spl0_1800 <=> pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(unaryUnion(singleton(singleton(empty_set)))))))=product(product(unaryUnion(singleton(singleton(empty_set)))))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f127572,plain,(
% 288.51/36.68 ![X0]: (~member(empty_set,unaryUnion(singleton(singleton(empty_set))))|pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(unaryUnion(singleton(singleton(empty_set)))))))=product(product(unaryUnion(singleton(singleton(empty_set)))))|~spl0_231|~spl0_167|~spl0_114)),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f31151,f120912])).
% 288.51/36.68 fof(f127573,plain,(
% 288.51/36.68 ~spl0_676|spl0_1800|~spl0_231|~spl0_167|~spl0_114),
% 288.51/36.68 inference(split_clause,[status(thm)],[f127572,f32569,f127569,f12505,f7695,f5919])).
% 288.51/36.68 fof(f127574,plain,(
% 288.51/36.68 spl0_1801 <=> pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(singleton(empty_set)))))=product(product(singleton(empty_set)))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f127577,plain,(
% 288.51/36.68 ![X0]: (~member(empty_set,singleton(empty_set))|pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(singleton(empty_set)))))=product(product(singleton(empty_set)))|~spl0_231|~spl0_167|~spl0_114)),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f28481,f120912])).
% 288.51/36.68 fof(f127578,plain,(
% 288.51/36.68 ~spl0_4|spl0_1801|~spl0_231|~spl0_167|~spl0_114),
% 288.51/36.68 inference(split_clause,[status(thm)],[f127577,f393,f127574,f12505,f7695,f5919])).
% 288.51/36.68 fof(f127640,plain,(
% 288.51/36.68 spl0_1802 <=> pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(sum(sum(product(empty_set)))))))=product(product(sum(sum(product(empty_set)))))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f127643,plain,(
% 288.51/36.68 ![X0]: (~member(empty_set,sum(sum(product(empty_set))))|pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(sum(sum(product(empty_set)))))))=product(product(sum(sum(product(empty_set)))))|~spl0_231|~spl0_167|~spl0_114)),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f28415,f120912])).
% 288.51/36.68 fof(f127644,plain,(
% 288.51/36.68 ~spl0_654|spl0_1802|~spl0_231|~spl0_167|~spl0_114),
% 288.51/36.68 inference(split_clause,[status(thm)],[f127643,f29923,f127640,f12505,f7695,f5919])).
% 288.51/36.68 fof(f127645,plain,(
% 288.51/36.68 spl0_1803 <=> pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(sum(power_set(power_set(empty_set)))))))=product(product(sum(power_set(power_set(empty_set)))))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f127648,plain,(
% 288.51/36.68 ![X0]: (~member(empty_set,sum(power_set(power_set(empty_set))))|pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(sum(power_set(power_set(empty_set)))))))=product(product(sum(power_set(power_set(empty_set)))))|~spl0_231|~spl0_167|~spl0_114)),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f112770,f120912])).
% 288.51/36.68 fof(f127649,plain,(
% 288.51/36.68 ~spl0_1627|spl0_1803|~spl0_231|~spl0_167|~spl0_114),
% 288.51/36.68 inference(split_clause,[status(thm)],[f127648,f118792,f127645,f12505,f7695,f5919])).
% 288.51/36.68 fof(f127650,plain,(
% 288.51/36.68 spl0_1804 <=> pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(sum(power_set(product(empty_set)))))))=product(product(sum(power_set(product(empty_set)))))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f127653,plain,(
% 288.51/36.68 ![X0]: (~member(empty_set,sum(power_set(product(empty_set))))|pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(sum(power_set(product(empty_set)))))))=product(product(sum(power_set(product(empty_set)))))|~spl0_231|~spl0_167|~spl0_114)),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f28431,f120912])).
% 288.51/36.68 fof(f127654,plain,(
% 288.51/36.68 ~spl0_666|spl0_1804|~spl0_231|~spl0_167|~spl0_114),
% 288.51/36.68 inference(split_clause,[status(thm)],[f127653,f30533,f127650,f12505,f7695,f5919])).
% 288.51/36.68 fof(f127655,plain,(
% 288.51/36.68 spl0_1805 <=> pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(sum(power_set(singleton(empty_set)))))))=product(product(sum(power_set(singleton(empty_set)))))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f127658,plain,(
% 288.51/36.68 ![X0]: (~member(empty_set,sum(power_set(singleton(empty_set))))|pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(sum(power_set(singleton(empty_set)))))))=product(product(sum(power_set(singleton(empty_set)))))|~spl0_231|~spl0_167|~spl0_114)),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f101565,f120912])).
% 288.51/36.68 fof(f127659,plain,(
% 288.51/36.68 ~spl0_667|spl0_1805|~spl0_231|~spl0_167|~spl0_114),
% 288.51/36.68 inference(split_clause,[status(thm)],[f127658,f30576,f127655,f12505,f7695,f5919])).
% 288.51/36.68 fof(f127660,plain,(
% 288.51/36.68 spl0_1806 <=> pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(sum(singleton(power_set(empty_set)))))))=product(product(sum(singleton(power_set(empty_set)))))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f127663,plain,(
% 288.51/36.68 ![X0]: (~member(empty_set,sum(singleton(power_set(empty_set))))|pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(sum(singleton(power_set(empty_set)))))))=product(product(sum(singleton(power_set(empty_set)))))|~spl0_231|~spl0_167|~spl0_114)),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f112755,f120912])).
% 288.51/36.68 fof(f127664,plain,(
% 288.51/36.68 ~spl0_1624|spl0_1806|~spl0_231|~spl0_167|~spl0_114),
% 288.51/36.68 inference(split_clause,[status(thm)],[f127663,f118740,f127660,f12505,f7695,f5919])).
% 288.51/36.68 fof(f127665,plain,(
% 288.51/36.68 spl0_1807 <=> pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(sum(singleton(singleton(empty_set)))))))=product(product(sum(singleton(singleton(empty_set)))))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f127668,plain,(
% 288.51/36.68 ![X0]: (~member(empty_set,sum(singleton(singleton(empty_set))))|pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(sum(singleton(singleton(empty_set)))))))=product(product(sum(singleton(singleton(empty_set)))))|~spl0_231|~spl0_167|~spl0_114)),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f101581,f120912])).
% 288.51/36.68 fof(f127669,plain,(
% 288.51/36.68 ~spl0_665|spl0_1807|~spl0_231|~spl0_167|~spl0_114),
% 288.51/36.68 inference(split_clause,[status(thm)],[f127668,f30490,f127665,f12505,f7695,f5919])).
% 288.51/36.68 fof(f127670,plain,(
% 288.51/36.68 spl0_1808 <=> pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(sum(product(empty_set))))))=product(product(sum(product(empty_set))))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f127673,plain,(
% 288.51/36.68 ![X0]: (~member(empty_set,sum(product(empty_set)))|pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(sum(product(empty_set))))))=product(product(sum(product(empty_set))))|~spl0_231|~spl0_167|~spl0_114)),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f28433,f120912])).
% 288.51/36.68 fof(f127674,plain,(
% 288.51/36.68 ~spl0_591|spl0_1808|~spl0_231|~spl0_167|~spl0_114),
% 288.51/36.68 inference(split_clause,[status(thm)],[f127673,f26135,f127670,f12505,f7695,f5919])).
% 288.51/36.68 fof(f127683,plain,(
% 288.51/36.68 spl0_1809 <=> pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(product(empty_set)))))=product(product(product(empty_set)))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f127686,plain,(
% 288.51/36.68 ![X0]: (~member(empty_set,product(empty_set))|pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(product(empty_set)))))=product(product(product(empty_set)))|~spl0_231|~spl0_167|~spl0_114)),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f28479,f120912])).
% 288.51/36.68 fof(f127687,plain,(
% 288.51/36.68 ~spl0_577|spl0_1809|~spl0_231|~spl0_167|~spl0_114),
% 288.51/36.68 inference(split_clause,[status(thm)],[f127686,f25884,f127683,f12505,f7695,f5919])).
% 288.51/36.68 fof(f128245,plain,(
% 288.51/36.68 spl0_1811 <=> X0=unaryUnion(singleton(sk0_18))|member(sk0_16(X0,singleton(sk0_18)),X0)|~member(sk0_17(X0,singleton(sk0_18)),sk0_17(X0,singleton(sk0_18)))|singleton(sk0_18)=sk0_17(X0,singleton(sk0_18))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f128248,plain,(
% 288.51/36.68 ![X0]: (X0=unaryUnion(singleton(sk0_18))|member(sk0_16(X0,singleton(sk0_18)),X0)|~member(singleton(sk0_18),singleton(sk0_18))|~member(sk0_17(X0,singleton(sk0_18)),sk0_17(X0,singleton(sk0_18)))|singleton(sk0_18)=sk0_17(X0,singleton(sk0_18))|~spl0_1653)),
% 288.51/36.68 inference(resolution,[status(thm)],[f97238,f120027])).
% 288.51/36.68 fof(f128249,plain,(
% 288.51/36.68 spl0_1811|~spl0_1738|~spl0_1653),
% 288.51/36.68 inference(split_clause,[status(thm)],[f128248,f128245,f123035,f120026])).
% 288.51/36.68 fof(f128407,plain,(
% 288.51/36.68 ![X0]: (member(X0,power_set(power_set(product(empty_set)))))),
% 288.51/36.68 inference(resolution,[status(thm)],[f89905,f2184])).
% 288.51/36.68 fof(f128417,plain,(
% 288.51/36.68 ![X0]: (member(X0,power_set(sum(product(empty_set)))))),
% 288.51/36.68 inference(resolution,[status(thm)],[f89905,f21073])).
% 288.51/36.68 fof(f128869,plain,(
% 288.51/36.68 sk0_3(singleton(sk0_18),sk0_18)=sk0_18|~spl0_1776),
% 288.51/36.68 inference(resolution,[status(thm)],[f127480,f1146])).
% 288.51/36.68 fof(f128900,plain,(
% 288.51/36.68 spl0_1817 <=> disjoint(sk0_18,singleton(sk0_18))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f128901,plain,(
% 288.51/36.68 disjoint(sk0_18,singleton(sk0_18))|~spl0_1817),
% 288.51/36.68 inference(component_clause,[status(thm)],[f128900])).
% 288.51/36.68 fof(f128903,plain,(
% 288.51/36.68 disjoint(sk0_18,singleton(sk0_18))|member(sk0_18,sk0_18)|~spl0_1776),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f128869,f81])).
% 288.51/36.68 fof(f128904,plain,(
% 288.51/36.68 spl0_1817|spl0_1736|~spl0_1776),
% 288.51/36.68 inference(split_clause,[status(thm)],[f128903,f128900,f123018,f125198])).
% 288.51/36.68 fof(f128907,plain,(
% 288.51/36.68 ~member(sk0_18,sk0_18)|~spl0_1817),
% 288.51/36.68 inference(resolution,[status(thm)],[f128901,f101192])).
% 288.51/36.68 fof(f128909,plain,(
% 288.51/36.68 sk0_2(singleton(sk0_18),sk0_18)=sk0_18|~spl0_1817),
% 288.51/36.68 inference(resolution,[status(thm)],[f128907,f1774])).
% 288.51/36.68 fof(f128911,plain,(
% 288.51/36.68 member(sk0_18,product(singleton(sk0_18)))|~member(sk0_18,sk0_18)|~spl0_1817),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f128909,f75])).
% 288.51/36.68 fof(f128912,plain,(
% 288.51/36.68 spl0_1776|~spl0_1736|~spl0_1817),
% 288.51/36.68 inference(split_clause,[status(thm)],[f128911,f125198,f123018,f128900])).
% 288.51/36.68 fof(f129396,plain,(
% 288.51/36.68 $false|~spl0_1817|~spl0_1776),
% 288.51/36.68 inference(forward_subsumption_resolution,[status(thm)],[f127480,f128907])).
% 288.51/36.68 fof(f129397,plain,(
% 288.51/36.68 ~spl0_1817|~spl0_1776),
% 288.51/36.68 inference(contradiction_clause,[status(thm)],[f129396])).
% 288.51/36.68 fof(f129399,plain,(
% 288.51/36.68 sk0_3(singleton(sk0_18),sk0_18)=sk0_18|~spl0_1736),
% 288.51/36.68 inference(resolution,[status(thm)],[f123019,f1146])).
% 288.51/36.68 fof(f129409,plain,(
% 288.51/36.68 disjoint(sk0_18,singleton(sk0_18))|member(sk0_18,singleton(sk0_18))|~spl0_1736),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f129399,f82])).
% 288.51/36.68 fof(f129410,plain,(
% 288.51/36.68 spl0_1817|spl0_1634|~spl0_1736),
% 288.51/36.68 inference(split_clause,[status(thm)],[f129409,f128900,f119009,f123018])).
% 288.51/36.68 fof(f129445,plain,(
% 288.51/36.68 spl0_1819 <=> ~member(X0,product(X1))|~member(empty_set,X1)),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f129448,plain,(
% 288.51/36.68 ![X0,X1]: (~member(X0,product(X1))|~subset(empty_set,empty_set)|~member(empty_set,X1))),
% 288.51/36.68 inference(resolution,[status(thm)],[f89945,f29854])).
% 288.51/36.68 fof(f129449,plain,(
% 288.51/36.68 spl0_1819|~spl0_171),
% 288.51/36.68 inference(split_clause,[status(thm)],[f129448,f129445,f7812])).
% 288.51/36.68 fof(f129452,plain,(
% 288.51/36.68 spl0_1820 <=> ~member(X0,X1)|~subset(X1,empty_set)),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f129455,plain,(
% 288.51/36.68 ![X0,X1]: (~member(X0,X1)|~subset(empty_set,empty_set)|~subset(X1,empty_set)|~spl0_231|~spl0_167)),
% 288.51/36.68 inference(resolution,[status(thm)],[f89945,f99731])).
% 288.51/36.68 fof(f129456,plain,(
% 288.51/36.68 spl0_1820|~spl0_171|~spl0_231|~spl0_167),
% 288.51/36.68 inference(split_clause,[status(thm)],[f129455,f129452,f7812,f12505,f7695])).
% 288.51/36.68 fof(f129457,plain,(
% 288.51/36.68 spl0_1821 <=> ~subset(product(X1),empty_set)|~member(empty_set,X1)),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f129458,plain,(
% 288.51/36.68 ![X0]: (~subset(product(X0),empty_set)|~member(empty_set,X0)|~spl0_1821)),
% 288.51/36.68 inference(component_clause,[status(thm)],[f129457])).
% 288.51/36.68 fof(f129489,plain,(
% 288.51/36.68 spl0_1827 <=> ~member(X0,singleton(power_set(empty_set)))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f129490,plain,(
% 288.51/36.68 ![X0]: (~member(X0,singleton(power_set(empty_set)))|~spl0_1827)),
% 288.51/36.68 inference(component_clause,[status(thm)],[f129489])).
% 288.51/36.68 fof(f129494,plain,(
% 288.51/36.68 spl0_1828 <=> ~member(X0,power_set(singleton(empty_set)))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f129495,plain,(
% 288.51/36.68 ![X0]: (~member(X0,power_set(singleton(empty_set)))|~spl0_1828)),
% 288.51/36.68 inference(component_clause,[status(thm)],[f129494])).
% 288.51/36.68 fof(f129499,plain,(
% 288.51/36.68 spl0_1829 <=> ~member(X0,power_set(power_set(empty_set)))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f129500,plain,(
% 288.51/36.68 ![X0]: (~member(X0,power_set(power_set(empty_set)))|~spl0_1829)),
% 288.51/36.68 inference(component_clause,[status(thm)],[f129499])).
% 288.51/36.68 fof(f129522,plain,(
% 288.51/36.68 ![X0]: (~member(empty_set,X0)|~spl0_1821)),
% 288.51/36.68 inference(forward_subsumption_resolution,[status(thm)],[f129458,f26650])).
% 288.51/36.68 fof(f129528,plain,(
% 288.51/36.68 spl0_1834 <=> subset(product(X0),X1)),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f129529,plain,(
% 288.51/36.68 ![X0,X1]: (subset(product(X0),X1)|~spl0_1834)),
% 288.51/36.68 inference(component_clause,[status(thm)],[f129528])).
% 288.51/36.68 fof(f129736,plain,(
% 288.51/36.68 spl0_1835 <=> sk0_2(singleton(sk0_18),empty_set)=sk0_18),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f129737,plain,(
% 288.51/36.68 sk0_2(singleton(sk0_18),empty_set)=sk0_18|~spl0_1835),
% 288.51/36.68 inference(component_clause,[status(thm)],[f129736])).
% 288.51/36.68 fof(f130204,plain,(
% 288.51/36.68 spl0_1865 <=> member(empty_set,product(singleton(sk0_18)))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f130205,plain,(
% 288.51/36.68 member(empty_set,product(singleton(sk0_18)))|~spl0_1865),
% 288.51/36.68 inference(component_clause,[status(thm)],[f130204])).
% 288.51/36.68 fof(f130206,plain,(
% 288.51/36.68 ~member(empty_set,product(singleton(sk0_18)))|spl0_1865),
% 288.51/36.68 inference(component_clause,[status(thm)],[f130204])).
% 288.51/36.68 fof(f130207,plain,(
% 288.51/36.68 member(empty_set,product(singleton(sk0_18)))|~member(empty_set,sk0_18)|~spl0_1835),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f129737,f75])).
% 288.51/36.68 fof(f130208,plain,(
% 288.51/36.68 spl0_1865|~spl0_1682|~spl0_1835),
% 288.51/36.68 inference(split_clause,[status(thm)],[f130207,f130204,f120389,f129736])).
% 288.51/36.68 fof(f130218,plain,(
% 288.51/36.68 product(product(singleton(sk0_18)))=empty_set|~spl0_1865),
% 288.51/36.68 inference(resolution,[status(thm)],[f130205,f28358])).
% 288.51/36.68 fof(f130241,plain,(
% 288.51/36.68 $false|~spl0_1821|~spl0_1865),
% 288.51/36.68 inference(backward_subsumption_resolution,[status(thm)],[f130205,f129522])).
% 288.51/36.68 fof(f130242,plain,(
% 288.51/36.68 ~spl0_1821|~spl0_1865),
% 288.51/36.68 inference(contradiction_clause,[status(thm)],[f130241])).
% 288.51/36.68 fof(f130247,plain,(
% 288.51/36.68 $false|~spl0_1834|spl0_1633),
% 288.51/36.68 inference(backward_subsumption_resolution,[status(thm)],[f119004,f129529])).
% 288.51/36.68 fof(f130248,plain,(
% 288.51/36.68 ~spl0_1834|spl0_1633),
% 288.51/36.68 inference(contradiction_clause,[status(thm)],[f130247])).
% 288.51/36.68 fof(f130260,plain,(
% 288.51/36.68 ![X0]: (~member(X0,product(empty_set))|member(X0,sk0_18)|~spl0_1633)),
% 288.51/36.68 inference(resolution,[status(thm)],[f119003,f26])).
% 288.51/36.68 fof(f130261,plain,(
% 288.51/36.68 ![X0]: (member(X0,sk0_18)|~spl0_231|~spl0_167|~spl0_1633)),
% 288.51/36.68 inference(forward_subsumption_resolution,[status(thm)],[f130260,f100753])).
% 288.51/36.68 fof(f130266,plain,(
% 288.51/36.68 $false|~spl0_231|~spl0_167|~spl0_1633|spl0_1630),
% 288.51/36.68 inference(backward_subsumption_resolution,[status(thm)],[f118986,f130261])).
% 288.51/36.68 fof(f130267,plain,(
% 288.51/36.68 ~spl0_231|~spl0_167|~spl0_1633|spl0_1630),
% 288.51/36.68 inference(contradiction_clause,[status(thm)],[f130266])).
% 288.51/36.68 fof(f130435,plain,(
% 288.51/36.68 $false|~spl0_1829|~spl0_167),
% 288.51/36.68 inference(resolution,[status(thm)],[f129500,f31535])).
% 288.51/36.68 fof(f130436,plain,(
% 288.51/36.68 ~spl0_1829|~spl0_167),
% 288.51/36.68 inference(contradiction_clause,[status(thm)],[f130435])).
% 288.51/36.68 fof(f130437,plain,(
% 288.51/36.68 $false|~spl0_1828|~spl0_167),
% 288.51/36.68 inference(resolution,[status(thm)],[f129495,f31535])).
% 288.51/36.68 fof(f130438,plain,(
% 288.51/36.68 ~spl0_1828|~spl0_167),
% 288.51/36.68 inference(contradiction_clause,[status(thm)],[f130437])).
% 288.51/36.68 fof(f130481,plain,(
% 288.51/36.68 $false|~spl0_1827),
% 288.51/36.68 inference(resolution,[status(thm)],[f129490,f179])).
% 288.51/36.68 fof(f130482,plain,(
% 288.51/36.68 ~spl0_1827),
% 288.51/36.68 inference(contradiction_clause,[status(thm)],[f130481])).
% 288.51/36.68 fof(f132365,plain,(
% 288.51/36.68 ![X0,X1,X2]: (~member(sk0_16(X0,X1),sk0_21(power_set(X0),empty_set))|X0=unaryUnion(X1)|~member(sk0_16(X0,X1),X2)|~member(X2,X1)|~spl0_231|~spl0_167)),
% 288.51/36.68 inference(resolution,[status(thm)],[f5000,f99677])).
% 288.51/36.68 fof(f132459,plain,(
% 288.51/36.68 sk0_2(singleton(sk0_18),empty_set)=sk0_18|spl0_1865),
% 288.51/36.68 inference(resolution,[status(thm)],[f130206,f100220])).
% 288.51/36.68 fof(f132460,plain,(
% 288.51/36.68 spl0_1835|spl0_1865),
% 288.51/36.68 inference(split_clause,[status(thm)],[f132459,f129736,f130204])).
% 288.51/36.68 fof(f132607,plain,(
% 288.51/36.68 spl0_1876 <=> member(empty_set,sk0_21(power_set(empty_set),empty_set))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f132610,plain,(
% 288.51/36.68 ![X0]: (~member(empty_set,sk0_21(power_set(empty_set),empty_set))|empty_set=unaryUnion(singleton(power_set(empty_set)))|~member(sk0_16(empty_set,singleton(power_set(empty_set))),X0)|~member(X0,singleton(power_set(empty_set)))|~spl0_231|~spl0_167|~spl0_448)),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f20160,f132365])).
% 288.51/36.68 fof(f132611,plain,(
% 288.51/36.68 ~spl0_1876|spl0_242|spl0_454|~spl0_231|~spl0_167|~spl0_448),
% 288.51/36.68 inference(split_clause,[status(thm)],[f132610,f132607,f13210,f20225,f12505,f7695,f20159])).
% 288.51/36.68 fof(f132638,plain,(
% 288.51/36.68 spl0_1877 <=> member(empty_set,singleton(sk0_18))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f132641,plain,(
% 288.51/36.68 spl0_1878 <=> pd0_0(X0,singleton(empty_set))|sk0_20(X0,singleton(product(product(singleton(sk0_18)))))=product(product(singleton(sk0_18)))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f132644,plain,(
% 288.51/36.68 ![X0]: (~member(empty_set,singleton(sk0_18))|pd0_0(X0,singleton(empty_set))|sk0_20(X0,singleton(product(product(singleton(sk0_18)))))=product(product(singleton(sk0_18)))|~spl0_231|~spl0_167|~spl0_114|~spl0_1865)),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f130218,f120912])).
% 288.51/36.68 fof(f132645,plain,(
% 288.51/36.68 ~spl0_1877|spl0_1878|~spl0_231|~spl0_167|~spl0_114|~spl0_1865),
% 288.51/36.68 inference(split_clause,[status(thm)],[f132644,f132638,f132641,f12505,f7695,f5919,f130204])).
% 288.51/36.68 fof(f132665,plain,(
% 288.51/36.68 spl0_1879 <=> pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(product(singleton(sk0_18))))))=product(product(product(singleton(sk0_18))))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f132668,plain,(
% 288.51/36.68 ![X0]: (~member(empty_set,product(singleton(sk0_18)))|pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(product(product(product(singleton(sk0_18))))))=product(product(product(singleton(sk0_18))))|~spl0_231|~spl0_167|~spl0_114|~spl0_1865)),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f130218,f120912])).
% 288.51/36.68 fof(f132669,plain,(
% 288.51/36.68 ~spl0_1865|spl0_1879|~spl0_231|~spl0_167|~spl0_114),
% 288.51/36.68 inference(split_clause,[status(thm)],[f132668,f130204,f132665,f12505,f7695,f5919])).
% 288.51/36.68 fof(f133352,plain,(
% 288.51/36.68 spl0_1883 <=> subset(product(sk0_18),sk0_18)),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f133382,plain,(
% 288.51/36.68 spl0_1884 <=> subset(product(singleton(sk0_18)),sk0_18)),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f133385,plain,(
% 288.51/36.68 disjoint(sk0_18,singleton(sk0_18))|subset(product(singleton(sk0_18)),sk0_18)|~spl0_1736),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f129399,f91383])).
% 288.51/36.68 fof(f133386,plain,(
% 288.51/36.68 spl0_1817|spl0_1884|~spl0_1736),
% 288.51/36.68 inference(split_clause,[status(thm)],[f133385,f128900,f133382,f123018])).
% 288.51/36.68 fof(f133392,plain,(
% 288.51/36.68 ![X0]: (disjoint(power_set(X0),singleton(empty_set))|subset(product(singleton(empty_set)),empty_set)|~spl0_167)),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f109115,f91383])).
% 288.51/36.68 fof(f133393,plain,(
% 288.51/36.68 spl0_13|spl0_1599|~spl0_167),
% 288.51/36.68 inference(split_clause,[status(thm)],[f133392,f1233,f117676,f7695])).
% 288.51/36.68 fof(f133474,plain,(
% 288.51/36.68 disjoint(sk0_18,singleton(sk0_18))|subset(product(sk0_18),sk0_18)|~spl0_1736),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f129399,f91456])).
% 288.51/36.68 fof(f133475,plain,(
% 288.51/36.68 spl0_1817|spl0_1883|~spl0_1736),
% 288.51/36.68 inference(split_clause,[status(thm)],[f133474,f128900,f133352,f123018])).
% 288.51/36.68 fof(f133664,plain,(
% 288.51/36.68 sk0_16(empty_set,singleton(sk0_18))=empty_set|~spl0_1664|~spl0_231),
% 288.51/36.68 inference(resolution,[status(thm)],[f120109,f120184])).
% 288.51/36.68 fof(f133671,plain,(
% 288.51/36.68 spl0_1885 <=> sk0_3(singleton(empty_set),sk0_18)=sk0_16(empty_set,singleton(sk0_18))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f133672,plain,(
% 288.51/36.68 sk0_3(singleton(empty_set),sk0_18)=sk0_16(empty_set,singleton(sk0_18))|~spl0_1885),
% 288.51/36.68 inference(component_clause,[status(thm)],[f133671])).
% 288.51/36.68 fof(f133674,plain,(
% 288.51/36.68 sk0_3(singleton(empty_set),sk0_18)=sk0_16(empty_set,singleton(sk0_18))|empty_set=unaryUnion(singleton(sk0_18))|~spl0_167|~spl0_1664|~spl0_231),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f133664,f92749])).
% 288.51/36.68 fof(f133675,plain,(
% 288.51/36.68 spl0_1885|spl0_1665|~spl0_167|~spl0_1664|~spl0_231),
% 288.51/36.68 inference(split_clause,[status(thm)],[f133674,f133671,f120111,f7695,f120108,f12505])).
% 288.51/36.68 fof(f133676,plain,(
% 288.51/36.68 spl0_1886 <=> sk0_3(sk0_18,singleton(empty_set))=sk0_16(empty_set,singleton(sk0_18))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f133677,plain,(
% 288.51/36.68 sk0_3(sk0_18,singleton(empty_set))=sk0_16(empty_set,singleton(sk0_18))|~spl0_1886),
% 288.51/36.68 inference(component_clause,[status(thm)],[f133676])).
% 288.51/36.68 fof(f133679,plain,(
% 288.51/36.68 sk0_3(sk0_18,singleton(empty_set))=sk0_16(empty_set,singleton(sk0_18))|empty_set=unaryUnion(singleton(sk0_18))|~spl0_167|~spl0_1664|~spl0_231),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f133664,f92536])).
% 288.51/36.68 fof(f133680,plain,(
% 288.51/36.68 spl0_1886|spl0_1665|~spl0_167|~spl0_1664|~spl0_231),
% 288.51/36.68 inference(split_clause,[status(thm)],[f133679,f133676,f120111,f7695,f120108,f12505])).
% 288.51/36.68 fof(f133681,plain,(
% 288.51/36.68 empty_set=unaryUnion(singleton(sk0_18))|member(empty_set,sk0_18)|~spl0_167|~spl0_1664|~spl0_231),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f133664,f90025])).
% 288.51/36.68 fof(f133682,plain,(
% 288.51/36.68 spl0_1665|spl0_1682|~spl0_167|~spl0_1664|~spl0_231),
% 288.51/36.68 inference(split_clause,[status(thm)],[f133681,f120111,f120389,f7695,f120108,f12505])).
% 288.51/36.68 fof(f133683,plain,(
% 288.51/36.68 spl0_1887 <=> sk0_17(empty_set,singleton(sk0_18))=sk0_18),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f133684,plain,(
% 288.51/36.68 sk0_17(empty_set,singleton(sk0_18))=sk0_18|~spl0_1887),
% 288.51/36.68 inference(component_clause,[status(thm)],[f133683])).
% 288.51/36.68 fof(f133686,plain,(
% 288.51/36.68 sk0_17(empty_set,singleton(sk0_18))=sk0_18|empty_set=unaryUnion(singleton(sk0_18))|member(empty_set,empty_set)|~spl0_1664|~spl0_231),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f133664,f98014])).
% 288.51/36.68 fof(f133687,plain,(
% 288.51/36.68 spl0_1887|spl0_1665|spl0_187|~spl0_1664|~spl0_231),
% 288.51/36.68 inference(split_clause,[status(thm)],[f133686,f133683,f120111,f8703,f120108,f12505])).
% 288.51/36.68 fof(f133695,plain,(
% 288.51/36.68 spl0_1889 <=> member(sk0_16(empty_set,singleton(sk0_18)),empty_set)),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f133696,plain,(
% 288.51/36.68 member(sk0_16(empty_set,singleton(sk0_18)),empty_set)|~spl0_1889),
% 288.51/36.68 inference(component_clause,[status(thm)],[f133695])).
% 288.51/36.68 fof(f133698,plain,(
% 288.51/36.68 spl0_1890 <=> member(empty_set,sk0_17(empty_set,singleton(sk0_18)))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f133701,plain,(
% 288.51/36.68 empty_set=unaryUnion(singleton(sk0_18))|member(sk0_16(empty_set,singleton(sk0_18)),empty_set)|member(empty_set,sk0_17(empty_set,singleton(sk0_18)))|~spl0_1664|~spl0_231),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f133664,f142])).
% 288.51/36.68 fof(f133702,plain,(
% 288.51/36.68 spl0_1665|spl0_1889|spl0_1890|~spl0_1664|~spl0_231),
% 288.51/36.68 inference(split_clause,[status(thm)],[f133701,f120111,f133695,f133698,f120108,f12505])).
% 288.51/36.68 fof(f133703,plain,(
% 288.51/36.68 spl0_1891 <=> member(sk0_17(empty_set,singleton(sk0_18)),singleton(sk0_18))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f133706,plain,(
% 288.51/36.68 empty_set=unaryUnion(singleton(sk0_18))|member(empty_set,empty_set)|member(sk0_17(empty_set,singleton(sk0_18)),singleton(sk0_18))|~spl0_1664|~spl0_231),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f133664,f143])).
% 288.51/36.68 fof(f133707,plain,(
% 288.51/36.68 spl0_1665|spl0_187|spl0_1891|~spl0_1664|~spl0_231),
% 288.51/36.68 inference(split_clause,[status(thm)],[f133706,f120111,f8703,f133703,f120108,f12505])).
% 288.51/36.68 fof(f133708,plain,(
% 288.51/36.68 $false|~spl0_231|~spl0_167|~spl0_1889),
% 288.51/36.68 inference(forward_subsumption_resolution,[status(thm)],[f133696,f89782])).
% 288.51/36.68 fof(f133709,plain,(
% 288.51/36.68 ~spl0_231|~spl0_167|~spl0_1889),
% 288.51/36.68 inference(contradiction_clause,[status(thm)],[f133708])).
% 288.51/36.68 fof(f133710,plain,(
% 288.51/36.68 empty_set=sk0_16(empty_set,singleton(sk0_18))|~spl0_1682|~spl0_1886),
% 288.51/36.68 inference(forward_demodulation,[status(thm)],[f120517,f133677])).
% 288.51/36.68 fof(f133711,plain,(
% 288.51/36.68 empty_set=sk0_16(empty_set,singleton(sk0_18))|~spl0_1682|~spl0_1885),
% 288.51/36.68 inference(forward_demodulation,[status(thm)],[f120516,f133672])).
% 288.51/36.68 fof(f133712,plain,(
% 288.51/36.68 empty_set=unaryUnion(singleton(sk0_18))|member(sk0_18,singleton(sk0_18))|~spl0_1887),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f133684,f4550])).
% 288.51/36.68 fof(f133713,plain,(
% 288.51/36.68 spl0_1665|spl0_1634|~spl0_1887),
% 288.51/36.68 inference(split_clause,[status(thm)],[f133712,f120111,f119009,f133683])).
% 288.51/36.68 fof(f133714,plain,(
% 288.51/36.68 spl0_1892 <=> member(sk0_16(empty_set,singleton(sk0_18)),sk0_18)),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f133717,plain,(
% 288.51/36.68 empty_set=unaryUnion(singleton(sk0_18))|member(sk0_16(empty_set,singleton(sk0_18)),empty_set)|member(sk0_16(empty_set,singleton(sk0_18)),sk0_18)|~spl0_1887),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f133684,f142])).
% 288.51/36.68 fof(f133718,plain,(
% 288.51/36.68 spl0_1665|spl0_1889|spl0_1892|~spl0_1887),
% 288.51/36.68 inference(split_clause,[status(thm)],[f133717,f120111,f133695,f133714,f133683])).
% 288.51/36.68 fof(f133721,plain,(
% 288.51/36.68 sk0_3(singleton(empty_set),sk0_18)=sk0_16(empty_set,singleton(sk0_18))|empty_set=unaryUnion(singleton(sk0_18))|~spl0_231|~spl0_167|~spl0_1682|~spl0_1886),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f133710,f92749])).
% 288.51/36.68 fof(f133722,plain,(
% 288.51/36.68 spl0_1885|spl0_1665|~spl0_231|~spl0_167|~spl0_1682|~spl0_1886),
% 288.51/36.68 inference(split_clause,[status(thm)],[f133721,f133671,f120111,f12505,f7695,f120389,f133676])).
% 288.51/36.68 fof(f133727,plain,(
% 288.51/36.68 sk0_17(empty_set,singleton(sk0_18))=sk0_18|empty_set=unaryUnion(singleton(sk0_18))|member(empty_set,empty_set)|~spl0_1682|~spl0_1886),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f133710,f98014])).
% 288.51/36.68 fof(f133728,plain,(
% 288.51/36.68 spl0_1887|spl0_1665|spl0_187|~spl0_1682|~spl0_1886),
% 288.51/36.68 inference(split_clause,[status(thm)],[f133727,f133683,f120111,f8703,f120389,f133676])).
% 288.51/36.68 fof(f133733,plain,(
% 288.51/36.68 empty_set=unaryUnion(singleton(sk0_18))|member(sk0_16(empty_set,singleton(sk0_18)),empty_set)|member(empty_set,sk0_17(empty_set,singleton(sk0_18)))|~spl0_1682|~spl0_1886),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f133710,f142])).
% 288.51/36.68 fof(f133734,plain,(
% 288.51/36.68 spl0_1665|spl0_1889|spl0_1890|~spl0_1682|~spl0_1886),
% 288.51/36.68 inference(split_clause,[status(thm)],[f133733,f120111,f133695,f133698,f120389,f133676])).
% 288.51/36.68 fof(f133735,plain,(
% 288.51/36.68 empty_set=unaryUnion(singleton(sk0_18))|member(empty_set,empty_set)|member(sk0_17(empty_set,singleton(sk0_18)),singleton(sk0_18))|~spl0_1682|~spl0_1886),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f133710,f143])).
% 288.51/36.68 fof(f133736,plain,(
% 288.51/36.68 spl0_1665|spl0_187|spl0_1891|~spl0_1682|~spl0_1886),
% 288.51/36.68 inference(split_clause,[status(thm)],[f133735,f120111,f8703,f133703,f120389,f133676])).
% 288.51/36.68 fof(f133740,plain,(
% 288.51/36.68 sk0_3(sk0_18,singleton(empty_set))=sk0_16(empty_set,singleton(sk0_18))|empty_set=unaryUnion(singleton(sk0_18))|~spl0_231|~spl0_167|~spl0_1682|~spl0_1885),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f133711,f92536])).
% 288.51/36.68 fof(f133741,plain,(
% 288.51/36.68 spl0_1886|spl0_1665|~spl0_231|~spl0_167|~spl0_1682|~spl0_1885),
% 288.51/36.68 inference(split_clause,[status(thm)],[f133740,f133676,f120111,f12505,f7695,f120389,f133671])).
% 288.51/36.68 fof(f133890,plain,(
% 288.51/36.68 sk0_16(sk0_18,power_set(empty_set))=empty_set|~spl0_1677|~spl0_231),
% 288.51/36.68 inference(resolution,[status(thm)],[f120335,f120184])).
% 288.51/36.68 fof(f133897,plain,(
% 288.51/36.68 sk0_18=empty_set|member(empty_set,sk0_18)|~spl0_1677|~spl0_231),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f133890,f120184])).
% 288.51/36.68 fof(f133898,plain,(
% 288.51/36.68 spl0_1648|spl0_1682|~spl0_1677|~spl0_231),
% 288.51/36.68 inference(split_clause,[status(thm)],[f133897,f119939,f120389,f120334,f12505])).
% 288.51/36.68 fof(f133899,plain,(
% 288.51/36.68 spl0_1893 <=> sk0_18=unaryUnion(power_set(empty_set))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f133900,plain,(
% 288.51/36.68 sk0_18=unaryUnion(power_set(empty_set))|~spl0_1893),
% 288.51/36.68 inference(component_clause,[status(thm)],[f133899])).
% 288.51/36.68 fof(f133910,plain,(
% 288.51/36.68 spl0_1896 <=> ~member(sk0_16(sk0_18,power_set(empty_set)),X0)|~member(X0,power_set(empty_set))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f133915,plain,(
% 288.51/36.68 ![X0]: (sk0_18=unaryUnion(power_set(empty_set))|~member(empty_set,sk0_18)|~member(sk0_16(sk0_18,power_set(empty_set)),X0)|~member(X0,power_set(empty_set))|~spl0_1677|~spl0_231)),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f133890,f141])).
% 288.51/36.68 fof(f133916,plain,(
% 288.51/36.68 spl0_1893|~spl0_1682|spl0_1896|~spl0_1677|~spl0_231),
% 288.51/36.68 inference(split_clause,[status(thm)],[f133915,f133899,f120389,f133910,f120334,f12505])).
% 288.51/36.68 fof(f133917,plain,(
% 288.51/36.68 spl0_1897 <=> member(sk0_16(sk0_18,power_set(empty_set)),sk0_18)),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f133920,plain,(
% 288.51/36.68 spl0_1898 <=> member(empty_set,sk0_17(sk0_18,power_set(empty_set)))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f133923,plain,(
% 288.51/36.68 sk0_18=unaryUnion(power_set(empty_set))|member(sk0_16(sk0_18,power_set(empty_set)),sk0_18)|member(empty_set,sk0_17(sk0_18,power_set(empty_set)))|~spl0_1677|~spl0_231),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f133890,f142])).
% 288.51/36.68 fof(f133924,plain,(
% 288.51/36.68 spl0_1893|spl0_1897|spl0_1898|~spl0_1677|~spl0_231),
% 288.51/36.68 inference(split_clause,[status(thm)],[f133923,f133899,f133917,f133920,f120334,f12505])).
% 288.51/36.68 fof(f133930,plain,(
% 288.51/36.68 sk0_18=empty_set|~spl0_231|~spl0_1893),
% 288.51/36.68 inference(forward_demodulation,[status(thm)],[f12506,f133900])).
% 288.51/36.68 fof(f133931,plain,(
% 288.51/36.68 $false|~spl0_231|~spl0_1893),
% 288.51/36.68 inference(forward_subsumption_resolution,[status(thm)],[f133930,f146])).
% 288.51/36.68 fof(f133932,plain,(
% 288.51/36.68 ~spl0_231|~spl0_1893),
% 288.51/36.68 inference(contradiction_clause,[status(thm)],[f133931])).
% 288.51/36.68 fof(f134072,plain,(
% 288.51/36.68 sk0_17(sk0_18,power_set(empty_set))=empty_set|~spl0_1755|~spl0_231|~spl0_167),
% 288.51/36.68 inference(resolution,[status(thm)],[f123798,f99045])).
% 288.51/36.68 fof(f134083,plain,(
% 288.51/36.68 spl0_1900 <=> member(sk0_16(sk0_18,power_set(empty_set)),empty_set)),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f134084,plain,(
% 288.51/36.68 member(sk0_16(sk0_18,power_set(empty_set)),empty_set)|~spl0_1900),
% 288.51/36.68 inference(component_clause,[status(thm)],[f134083])).
% 288.51/36.68 fof(f134086,plain,(
% 288.51/36.68 sk0_18=unaryUnion(power_set(empty_set))|member(sk0_16(sk0_18,power_set(empty_set)),sk0_18)|member(sk0_16(sk0_18,power_set(empty_set)),empty_set)|~spl0_1755|~spl0_231|~spl0_167),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f134072,f142])).
% 288.51/36.68 fof(f134087,plain,(
% 288.51/36.68 spl0_1893|spl0_1897|spl0_1900|~spl0_1755|~spl0_231|~spl0_167),
% 288.51/36.68 inference(split_clause,[status(thm)],[f134086,f133899,f133917,f134083,f123797,f12505,f7695])).
% 288.51/36.68 fof(f134090,plain,(
% 288.51/36.68 $false|~spl0_231|~spl0_167|~spl0_1900),
% 288.51/36.68 inference(forward_subsumption_resolution,[status(thm)],[f134084,f89782])).
% 288.51/36.68 fof(f134091,plain,(
% 288.51/36.68 ~spl0_231|~spl0_167|~spl0_1900),
% 288.51/36.68 inference(contradiction_clause,[status(thm)],[f134090])).
% 288.51/36.68 fof(f134097,plain,(
% 288.51/36.68 ![X0]: (subset(sk0_17(sk0_18,power_set(empty_set)),X0)|~spl0_1753|~spl0_231|~spl0_167)),
% 288.51/36.68 inference(resolution,[status(thm)],[f123788,f109479])).
% 288.51/36.68 fof(f134098,plain,(
% 288.51/36.68 spl0_1755|~spl0_1753|~spl0_231|~spl0_167),
% 288.51/36.68 inference(split_clause,[status(thm)],[f134097,f123797,f123787,f12505,f7695])).
% 288.51/36.68 fof(f134946,plain,(
% 288.51/36.68 spl0_1905 <=> sk0_15(sk0_16(empty_set,singleton(unaryUnion(singleton(unaryUnion(singleton(sk0_18)))))),empty_set,singleton(unaryUnion(singleton(sk0_18))))=unaryUnion(singleton(sk0_18))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f134949,plain,(
% 288.51/36.68 spl0_1906 <=> empty_set=unaryUnion(singleton(unaryUnion(singleton(unaryUnion(singleton(sk0_18))))))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f134952,plain,(
% 288.51/36.68 sk0_15(sk0_16(empty_set,singleton(unaryUnion(singleton(unaryUnion(singleton(sk0_18)))))),empty_set,singleton(unaryUnion(singleton(sk0_18))))=unaryUnion(singleton(sk0_18))|empty_set=unaryUnion(singleton(unaryUnion(singleton(unaryUnion(singleton(sk0_18))))))|~spl0_231|~spl0_167|~spl0_1675),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f120248,f95103])).
% 288.51/36.68 fof(f134953,plain,(
% 288.51/36.68 spl0_1905|spl0_1906|~spl0_231|~spl0_167|~spl0_1675),
% 288.51/36.68 inference(split_clause,[status(thm)],[f134952,f134946,f134949,f12505,f7695,f120247])).
% 288.51/36.68 fof(f134954,plain,(
% 288.51/36.68 spl0_1907 <=> sk0_15(sk0_16(empty_set,singleton(empty_set)),unaryUnion(singleton(unaryUnion(singleton(sk0_18)))),singleton(unaryUnion(singleton(sk0_18))))=unaryUnion(singleton(sk0_18))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f134957,plain,(
% 288.51/36.68 sk0_15(sk0_16(empty_set,singleton(empty_set)),unaryUnion(singleton(unaryUnion(singleton(sk0_18)))),singleton(unaryUnion(singleton(sk0_18))))=unaryUnion(singleton(sk0_18))|empty_set=unaryUnion(singleton(unaryUnion(singleton(unaryUnion(singleton(sk0_18))))))|~spl0_231|~spl0_167|~spl0_1675),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f120248,f95103])).
% 288.51/36.68 fof(f134958,plain,(
% 288.51/36.68 spl0_1907|spl0_1906|~spl0_231|~spl0_167|~spl0_1675),
% 288.51/36.68 inference(split_clause,[status(thm)],[f134957,f134954,f134949,f12505,f7695,f120247])).
% 288.51/36.68 fof(f134980,plain,(
% 288.51/36.68 spl0_1908 <=> member(product(empty_set),singleton(unaryUnion(singleton(sk0_18))))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f134983,plain,(
% 288.51/36.68 ![X0]: (~member(product(empty_set),singleton(unaryUnion(singleton(sk0_18))))|subset(X0,empty_set)|~spl0_1675)),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f120248,f30069])).
% 288.51/36.68 fof(f134984,plain,(
% 288.51/36.68 ~spl0_1908|spl0_139|~spl0_1675),
% 288.51/36.68 inference(split_clause,[status(thm)],[f134983,f134980,f6998,f120247])).
% 288.51/36.68 fof(f135013,plain,(
% 288.51/36.68 spl0_1909 <=> member(product(empty_set),sk0_17(sk0_18,power_set(empty_set)))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f135016,plain,(
% 288.51/36.68 ![X0]: (~member(product(empty_set),sk0_17(sk0_18,power_set(empty_set)))|subset(X0,empty_set)|~spl0_1678)),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f120338,f30069])).
% 288.51/36.68 fof(f135017,plain,(
% 288.51/36.68 ~spl0_1909|spl0_139|~spl0_1678),
% 288.51/36.68 inference(split_clause,[status(thm)],[f135016,f135013,f6998,f120337])).
% 288.51/36.68 fof(f135323,plain,(
% 288.51/36.68 subset(sk0_16(singleton(empty_set),power_set(empty_set)),empty_set)|singleton(empty_set)=empty_set|~spl0_167|~spl0_114|~spl0_231),
% 288.51/36.68 inference(resolution,[status(thm)],[f101116,f120184])).
% 288.51/36.68 fof(f135324,plain,(
% 288.51/36.68 spl0_308|spl0_66|~spl0_167|~spl0_114|~spl0_231),
% 288.51/36.68 inference(split_clause,[status(thm)],[f135323,f14863,f3425,f7695,f5919,f12505])).
% 288.51/36.68 fof(f135637,plain,(
% 288.51/36.68 spl0_1915 <=> ~member(X0,product(X1))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f135638,plain,(
% 288.51/36.68 ![X0,X1]: (~member(X0,product(X1))|~spl0_1915)),
% 288.51/36.68 inference(component_clause,[status(thm)],[f135637])).
% 288.51/36.68 fof(f135683,plain,(
% 288.51/36.68 spl0_1916 <=> member(X0,unaryUnion(X1))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f135684,plain,(
% 288.51/36.68 ![X0,X1]: (member(X0,unaryUnion(X1))|~spl0_1916)),
% 288.51/36.68 inference(component_clause,[status(thm)],[f135683])).
% 288.51/36.68 fof(f136005,plain,(
% 288.51/36.68 $false|~spl0_1637|~spl0_1635),
% 288.51/36.68 inference(forward_subsumption_resolution,[status(thm)],[f122131,f119023])).
% 288.51/36.68 fof(f136006,plain,(
% 288.51/36.68 ~spl0_1637|~spl0_1635),
% 288.51/36.68 inference(contradiction_clause,[status(thm)],[f136005])).
% 288.51/36.68 fof(f136007,plain,(
% 288.51/36.68 $false|~spl0_231|~spl0_167|~spl0_1633|spl0_1734),
% 288.51/36.68 inference(backward_subsumption_resolution,[status(thm)],[f122664,f130261])).
% 288.51/36.68 fof(f136008,plain,(
% 288.51/36.68 ~spl0_231|~spl0_167|~spl0_1633|spl0_1734),
% 288.51/36.68 inference(contradiction_clause,[status(thm)],[f136007])).
% 288.51/36.68 fof(f136186,plain,(
% 288.51/36.68 ![X0]: (~partition(empty_set,X0)|~spl0_1915|~spl0_231|~spl0_167)),
% 288.51/36.68 inference(backward_subsumption_resolution,[status(thm)],[f100234,f135638])).
% 288.51/36.68 fof(f136187,plain,(
% 288.51/36.68 spl0_1614|~spl0_1915|~spl0_231|~spl0_167),
% 288.51/36.68 inference(split_clause,[status(thm)],[f136186,f118210,f135637,f12505,f7695])).
% 288.51/36.68 fof(f136213,plain,(
% 288.51/36.68 ![X0,X1]: (subset(X0,unaryUnion(X1))|~spl0_1916)),
% 288.51/36.68 inference(resolution,[status(thm)],[f135684,f28])).
% 288.51/36.68 fof(f136214,plain,(
% 288.51/36.68 spl0_1310|~spl0_1916),
% 288.51/36.68 inference(split_clause,[status(thm)],[f136213,f89651,f135683])).
% 288.51/36.68 fof(f138195,plain,(
% 288.51/36.68 spl0_1929 <=> member(X0,sum(X1))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f138196,plain,(
% 288.51/36.68 ![X0,X1]: (member(X0,sum(X1))|~spl0_1929)),
% 288.51/36.68 inference(component_clause,[status(thm)],[f138195])).
% 288.51/36.68 fof(f138978,plain,(
% 288.51/36.68 $false|~spl0_231|~spl0_167|~spl0_1633|spl0_1637),
% 288.51/36.68 inference(forward_subsumption_resolution,[status(thm)],[f119024,f130261])).
% 288.51/36.68 fof(f138979,plain,(
% 288.51/36.68 ~spl0_231|~spl0_167|~spl0_1633|spl0_1637),
% 288.51/36.68 inference(contradiction_clause,[status(thm)],[f138978])).
% 288.51/36.68 fof(f139005,plain,(
% 288.51/36.68 ![X0,X1]: (subset(X0,sum(X1))|~spl0_1929)),
% 288.51/36.68 inference(resolution,[status(thm)],[f138196,f28])).
% 288.51/36.68 fof(f139006,plain,(
% 288.51/36.68 spl0_1309|~spl0_1929),
% 288.51/36.68 inference(split_clause,[status(thm)],[f139005,f89646,f138195])).
% 288.51/36.68 fof(f139227,plain,(
% 288.51/36.68 spl0_1937 <=> member(product(empty_set),singleton(sk0_18))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f139230,plain,(
% 288.51/36.68 ![X0]: (~member(product(empty_set),singleton(sk0_18))|subset(X0,empty_set)|~spl0_1665)),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f120112,f30069])).
% 288.51/36.68 fof(f139231,plain,(
% 288.51/36.68 ~spl0_1937|spl0_139|~spl0_1665),
% 288.51/36.68 inference(split_clause,[status(thm)],[f139230,f139227,f6998,f120111])).
% 288.51/36.68 fof(f140506,plain,(
% 288.51/36.68 ~sk0_18=sk0_5(sk0_18,singleton(sk0_18))|~spl0_1620|spl0_1641),
% 288.51/36.68 inference(forward_demodulation,[status(thm)],[f118474,f119118])).
% 288.51/36.68 fof(f140733,plain,(
% 288.51/36.68 ![X0,X1]: (pd0_0(X0,singleton(unaryUnion(X1)))|sk0_20(X0,singleton(unaryUnion(X1)))=unaryUnion(X1)|~member(product(empty_set),X1)|~spl0_231|~spl0_167|~spl0_114)),
% 288.51/36.68 inference(forward_subsumption_resolution,[status(thm)],[f95718,f96958])).
% 288.51/36.68 fof(f140763,plain,(
% 288.51/36.68 spl0_1944 <=> pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(unaryUnion(singleton(product(empty_set)))))=unaryUnion(singleton(product(empty_set)))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f140766,plain,(
% 288.51/36.68 ![X0]: (pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(unaryUnion(singleton(product(empty_set)))))=unaryUnion(singleton(product(empty_set)))|~member(product(empty_set),singleton(product(empty_set)))|~spl0_231|~spl0_114|~spl0_167)),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f73114,f140733])).
% 288.51/36.68 fof(f140767,plain,(
% 288.51/36.68 spl0_1944|~spl0_16|~spl0_231|~spl0_114|~spl0_167),
% 288.51/36.68 inference(split_clause,[status(thm)],[f140766,f140763,f1529,f12505,f5919,f7695])).
% 288.51/36.68 fof(f140773,plain,(
% 288.51/36.68 spl0_1946 <=> pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(unaryUnion(sum(product(empty_set)))))=unaryUnion(sum(product(empty_set)))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f140776,plain,(
% 288.51/36.68 ![X0]: (pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(unaryUnion(sum(product(empty_set)))))=unaryUnion(sum(product(empty_set)))|~member(product(empty_set),sum(product(empty_set)))|~spl0_231|~spl0_167|~spl0_114|~spl0_951)),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f64421,f140733])).
% 288.51/36.68 fof(f140777,plain,(
% 288.51/36.68 spl0_1946|~spl0_1016|~spl0_231|~spl0_167|~spl0_114|~spl0_951),
% 288.51/36.68 inference(split_clause,[status(thm)],[f140776,f140773,f65131,f12505,f7695,f5919,f64420])).
% 288.51/36.68 fof(f140778,plain,(
% 288.51/36.68 spl0_1947 <=> pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(unaryUnion(product(empty_set))))=unaryUnion(product(empty_set))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f140781,plain,(
% 288.51/36.68 ![X0]: (pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(unaryUnion(product(empty_set))))=unaryUnion(product(empty_set))|~member(product(empty_set),product(empty_set))|~spl0_231|~spl0_167|~spl0_114|~spl0_896)),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f64103,f140733])).
% 288.51/36.68 fof(f140782,plain,(
% 288.51/36.68 spl0_1947|~spl0_967|~spl0_231|~spl0_167|~spl0_114|~spl0_896),
% 288.51/36.68 inference(split_clause,[status(thm)],[f140781,f140778,f64640,f12505,f7695,f5919,f64102])).
% 288.51/36.68 fof(f140783,plain,(
% 288.51/36.68 spl0_1948 <=> pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(unaryUnion(power_set(product(empty_set)))))=unaryUnion(power_set(product(empty_set)))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f140786,plain,(
% 288.51/36.68 ![X0]: (pd0_0(X0,singleton(product(empty_set)))|sk0_20(X0,singleton(unaryUnion(power_set(product(empty_set)))))=unaryUnion(power_set(product(empty_set)))|~member(product(empty_set),power_set(product(empty_set)))|~spl0_231|~spl0_167|~spl0_114|~spl0_914)),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f64199,f140733])).
% 288.51/36.68 fof(f140787,plain,(
% 288.51/36.68 spl0_1948|~spl0_1017|~spl0_231|~spl0_167|~spl0_114|~spl0_914),
% 288.51/36.68 inference(split_clause,[status(thm)],[f140786,f140783,f65156,f12505,f7695,f5919,f64198])).
% 288.51/36.68 fof(f141423,plain,(
% 288.51/36.68 spl0_1968 <=> member(sk0_16(empty_set,singleton(empty_set)),sum(sum(product(empty_set))))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f141425,plain,(
% 288.51/36.68 ~member(sk0_16(empty_set,singleton(empty_set)),sum(sum(product(empty_set))))|spl0_1968),
% 288.51/36.68 inference(component_clause,[status(thm)],[f141423])).
% 288.51/36.68 fof(f141426,plain,(
% 288.51/36.68 spl0_1969 <=> empty_set=unaryUnion(singleton(difference(X0,sum(sum(product(empty_set))))))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f141429,plain,(
% 288.51/36.68 ![X0]: (~member(sk0_16(empty_set,singleton(empty_set)),sum(sum(product(empty_set))))|empty_set=unaryUnion(singleton(difference(X0,sum(sum(product(empty_set))))))|~spl0_231|~spl0_167)),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f25981,f92659])).
% 288.51/36.68 fof(f141430,plain,(
% 288.51/36.68 ~spl0_1968|spl0_1969|~spl0_231|~spl0_167),
% 288.51/36.68 inference(split_clause,[status(thm)],[f141429,f141423,f141426,f12505,f7695])).
% 288.51/36.68 fof(f141449,plain,(
% 288.51/36.68 $false|spl0_1968),
% 288.51/36.68 inference(forward_subsumption_resolution,[status(thm)],[f141425,f118645])).
% 288.51/36.68 fof(f141450,plain,(
% 288.51/36.68 spl0_1968),
% 288.51/36.68 inference(contradiction_clause,[status(thm)],[f141449])).
% 288.51/36.68 fof(f141491,plain,(
% 288.51/36.68 spl0_1970 <=> member(sk0_16(empty_set,singleton(empty_set)),power_set(sum(product(empty_set))))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f141493,plain,(
% 288.51/36.68 ~member(sk0_16(empty_set,singleton(empty_set)),power_set(sum(product(empty_set))))|spl0_1970),
% 288.51/36.68 inference(component_clause,[status(thm)],[f141491])).
% 288.51/36.68 fof(f141494,plain,(
% 288.51/36.68 spl0_1971 <=> empty_set=unaryUnion(singleton(difference(X0,power_set(sum(product(empty_set))))))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f141497,plain,(
% 288.51/36.68 ![X0]: (~member(sk0_16(empty_set,singleton(empty_set)),power_set(sum(product(empty_set))))|empty_set=unaryUnion(singleton(difference(X0,power_set(sum(product(empty_set))))))|~spl0_231|~spl0_167)),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f26007,f92659])).
% 288.51/36.68 fof(f141498,plain,(
% 288.51/36.68 ~spl0_1970|spl0_1971|~spl0_231|~spl0_167),
% 288.51/36.68 inference(split_clause,[status(thm)],[f141497,f141491,f141494,f12505,f7695])).
% 288.51/36.68 fof(f141517,plain,(
% 288.51/36.68 $false|spl0_1970),
% 288.51/36.68 inference(forward_subsumption_resolution,[status(thm)],[f141493,f128417])).
% 288.51/36.68 fof(f141518,plain,(
% 288.51/36.68 spl0_1970),
% 288.51/36.68 inference(contradiction_clause,[status(thm)],[f141517])).
% 288.51/36.68 fof(f141622,plain,(
% 288.51/36.68 spl0_1972 <=> member(sk0_16(empty_set,singleton(empty_set)),sum(power_set(product(empty_set))))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f141624,plain,(
% 288.51/36.68 ~member(sk0_16(empty_set,singleton(empty_set)),sum(power_set(product(empty_set))))|spl0_1972),
% 288.51/36.68 inference(component_clause,[status(thm)],[f141622])).
% 288.51/36.68 fof(f141625,plain,(
% 288.51/36.68 spl0_1973 <=> empty_set=unaryUnion(singleton(difference(X0,sum(power_set(product(empty_set))))))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f141628,plain,(
% 288.51/36.68 ![X0]: (~member(sk0_16(empty_set,singleton(empty_set)),sum(power_set(product(empty_set))))|empty_set=unaryUnion(singleton(difference(X0,sum(power_set(product(empty_set))))))|~spl0_231|~spl0_167)),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f25984,f92659])).
% 288.51/36.68 fof(f141629,plain,(
% 288.51/36.68 ~spl0_1972|spl0_1973|~spl0_231|~spl0_167),
% 288.51/36.68 inference(split_clause,[status(thm)],[f141628,f141622,f141625,f12505,f7695])).
% 288.51/36.68 fof(f141648,plain,(
% 288.51/36.68 $false|spl0_1972),
% 288.51/36.68 inference(forward_subsumption_resolution,[status(thm)],[f141624,f118626])).
% 288.51/36.68 fof(f141649,plain,(
% 288.51/36.68 spl0_1972),
% 288.51/36.68 inference(contradiction_clause,[status(thm)],[f141648])).
% 288.51/36.68 fof(f141690,plain,(
% 288.51/36.68 spl0_1974 <=> member(sk0_16(empty_set,singleton(empty_set)),power_set(power_set(product(empty_set))))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f141692,plain,(
% 288.51/36.68 ~member(sk0_16(empty_set,singleton(empty_set)),power_set(power_set(product(empty_set))))|spl0_1974),
% 288.51/36.68 inference(component_clause,[status(thm)],[f141690])).
% 288.51/36.68 fof(f141693,plain,(
% 288.51/36.68 spl0_1975 <=> empty_set=unaryUnion(singleton(difference(X0,power_set(power_set(product(empty_set))))))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f141696,plain,(
% 288.51/36.68 ![X0]: (~member(sk0_16(empty_set,singleton(empty_set)),power_set(power_set(product(empty_set))))|empty_set=unaryUnion(singleton(difference(X0,power_set(power_set(product(empty_set))))))|~spl0_231|~spl0_167)),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f26011,f92659])).
% 288.51/36.68 fof(f141697,plain,(
% 288.51/36.68 ~spl0_1974|spl0_1975|~spl0_231|~spl0_167),
% 288.51/36.68 inference(split_clause,[status(thm)],[f141696,f141690,f141693,f12505,f7695])).
% 288.51/36.68 fof(f141716,plain,(
% 288.51/36.68 $false|spl0_1974),
% 288.51/36.68 inference(forward_subsumption_resolution,[status(thm)],[f141692,f128407])).
% 288.51/36.68 fof(f141717,plain,(
% 288.51/36.68 spl0_1974),
% 288.51/36.68 inference(contradiction_clause,[status(thm)],[f141716])).
% 288.51/36.68 fof(f142477,plain,(
% 288.51/36.68 spl0_1977 <=> ~member(X0,sum(singleton(sk0_18)))),
% 288.51/36.68 introduced(split_symbol_definition)).
% 288.51/36.68 fof(f142478,plain,(
% 288.51/36.68 ![X0]: (~member(X0,sum(singleton(sk0_18)))|~spl0_1977)),
% 288.51/36.68 inference(component_clause,[status(thm)],[f142477])).
% 288.51/36.68 fof(f142800,plain,(
% 288.51/36.68 sum(singleton(sk0_18))=empty_set|~spl0_1977|~spl0_231),
% 288.51/36.68 inference(resolution,[status(thm)],[f142478,f120184])).
% 288.51/36.68 fof(f142820,plain,(
% 288.51/36.68 ![X0]: (~member(product(empty_set),singleton(sk0_18))|subset(X0,empty_set)|~spl0_1977|~spl0_231)),
% 288.51/36.68 inference(paramodulation,[status(thm)],[f142800,f19583])).
% 288.51/36.68 fof(f142821,plain,(
% 288.51/36.68 ~spl0_1937|spl0_139|~spl0_1977|~spl0_231),
% 288.51/36.68 inference(split_clause,[status(thm)],[f142820,f139227,f6998,f142477,f12505])).
% 288.51/36.68 fof(f142840,plain,(
% 288.51/36.68 $false|~spl0_1620|spl0_1641|~spl0_1638),
% 288.51/36.68 inference(forward_subsumption_resolution,[status(thm)],[f119100,f140506])).
% 288.51/36.68 fof(f142841,plain,(
% 288.51/36.68 ~spl0_1620|spl0_1641|~spl0_1638),
% 288.51/36.68 inference(contradiction_clause,[status(thm)],[f142840])).
% 288.51/36.68 fof(f142842,plain,(
% 288.51/36.68 $false),
% 288.51/36.68 inference(sat_refutation,[status(thm)],[f391,f397,f469,f749,f1533,f1611,f1890,f2234,f2287,f2340,f2366,f2379,f2387,f2403,f2428,f2475,f3374,f3389,f3562,f3573,f3610,f3631,f4111,f4116,f4201,f4247,f4304,f4423,f4430,f4654,f4711,f4846,f4947,f4952,f4954,f5107,f5121,f5123,f5611,f5620,f5657,f5675,f5743,f6203,f6217,f6239,f6253,f6268,f6409,f6419,f6423,f6989,f6997,f7010,f7012,f7317,f7319,f7338,f7674,f7699,f7705,f8118,f8141,f8504,f8507,f8555,f8599,f8710,f8723,f8728,f8731,f8823,f8825,f8852,f8886,f8935,f8951,f8953,f8994,f9175,f9206,f9420,f9499,f9528,f10412,f10417,f10538,f11695,f11704,f11800,f11836,f12224,f12309,f12512,f12542,f13144,f13172,f13214,f13383,f13385,f13387,f13400,f13634,f13866,f13874,f13878,f13880,f14341,f14422,f14696,f14901,f14932,f15634,f15636,f17050,f18630,f18645,f18694,f18710,f18712,f18725,f19147,f19700,f19716,f19718,f19812,f20224,f20237,f20242,f20245,f20395,f20397,f22073,f22218,f22375,f22419,f23179,f23869,f24093,f24298,f24422,f25460,f25634,f25877,f25883,f25901,f25907,f25909,f25922,f25944,f25950,f25968,f25974,f26032,f26042,f26050,f26053,f26055,f26057,f26128,f26152,f26158,f26176,f26198,f26330,f26350,f26370,f26398,f26404,f26428,f26434,f26458,f26464,f26488,f26494,f26719,f26721,f27268,f27387,f28105,f28611,f28613,f28615,f28617,f28619,f28621,f28752,f28920,f28951,f29332,f29568,f29884,f29965,f30087,f30089,f30101,f30532,f30575,f30618,f30661,f30704,f30777,f30820,f30828,f30866,f31223,f31657,f31660,f32594,f32620,f32646,f32672,f32698,f32918,f32934,f35157,f35450,f35668,f35670,f35776,f35994,f35996,f36532,f36537,f36542,f36547,f36558,f36564,f37000,f37040,f37080,f37120,f37160,f37200,f37307,f37314,f38080,f38120,f38160,f38200,f38202,f38412,f38844,f38847,f39001,f39006,f39011,f39016,f39084,f39409,f39921,f40139,f40151,f40159,f40167,f40175,f40183,f40191,f40199,f40203,f40205,f40207,f40209,f40211,f40213,f40215,f40217,f40560,f40667,f40855,f40895,f42104,f43063,f43073,f43305,f43463,f43856,f43906,f43956,f44253,f44663,f46308,f47008,f47011,f47083,f47093,f47105,f47113,f47121,f47125,f47127,f47129,f47131,f47133,f47941,f48168,f48213,f48419,f48421,f49118,f49659,f49931,f52067,f52178,f52316,f52424,f52949,f52951,f53041,f53052,f55221,f55274,f55305,f55395,f57637,f57719,f58002,f58004,f58282,f59050,f59348,f59842,f59852,f59934,f59936,f60080,f60090,f60172,f60174,f60676,f60810,f61044,f62575,f62583,f62831,f63393,f63396,f63399,f63404,f63408,f63413,f63421,f63458,f63553,f63569,f63585,f64099,f64541,f64591,f64662,f65153,f65177,f65859,f65908,f66256,f66261,f66266,f66271,f66276,f66281,f66286,f66291,f66304,f66366,f66574,f66586,f66598,f66663,f66804,f66838,f67429,f67441,f69020,f69031,f73018,f73081,f73094,f73104,f73461,f73550,f78967,f79487,f79493,f79496,f79658,f81098,f81107,f81163,f81311,f81314,f81612,f81709,f81712,f82481,f82663,f82668,f82673,f82678,f82683,f82688,f82693,f82698,f82703,f82708,f82713,f82718,f82723,f82728,f82733,f82738,f82743,f82753,f82758,f82763,f82768,f82773,f82778,f82788,f82793,f82798,f82803,f82808,f82813,f82818,f82823,f82828,f82833,f82838,f82843,f82848,f82853,f83034,f83036,f83038,f83043,f83048,f83072,f84091,f86970,f87019,f89678,f89704,f89720,f90050,f90134,f90694,f90697,f91804,f91806,f91808,f91810,f91812,f92063,f93784,f93845,f93910,f93987,f94092,f94102,f95383,f95389,f95412,f95417,f95425,f95486,f96588,f96761,f96764,f96802,f96811,f96901,f97039,f97043,f97066,f97070,f97903,f98204,f98448,f98919,f100243,f100249,f100254,f100302,f100327,f100728,f101414,f101417,f101428,f101501,f102279,f103661,f103666,f103671,f103676,f103678,f103683,f103968,f104313,f104743,f104806,f104808,f104888,f105432,f105437,f105442,f105449,f105454,f105461,f106078,f106175,f106905,f106918,f107253,f107970,f109816,f110709,f110956,f110964,f110972,f110976,f110978,f110980,f111111,f111311,f112118,f113190,f113417,f114781,f114786,f114806,f114811,f114925,f116038,f116263,f116499,f116508,f117133,f117568,f117600,f117605,f117618,f117638,f117646,f117654,f117662,f117667,f117674,f117756,f117763,f117832,f117853,f117867,f118214,f118223,f118241,f118263,f118308,f118432,f118464,f118471,f118480,f118739,f118759,f118791,f118811,f118988,f118990,f119021,f119030,f119058,f119067,f119076,f119078,f119080,f119098,f119103,f119120,f119933,f119954,f119969,f119973,f119975,f120033,f120038,f120043,f120048,f120054,f120089,f120100,f120115,f120122,f120127,f120135,f120140,f120146,f120251,f120256,f120311,f120341,f120377,f120393,f120401,f120409,f120417,f120419,f120444,f120495,f120503,f120510,f122058,f122069,f122137,f122167,f122313,f122318,f122323,f122328,f122333,f122353,f122357,f122423,f122428,f122432,f122666,f123022,f123039,f123495,f123509,f123511,f123513,f123515,f123519,f123688,f123703,f123719,f123739,f123751,f123759,f123771,f123781,f123786,f123791,f123796,f123806,f123808,f123815,f124222,f124568,f124861,f124952,f124967,f125139,f125147,f125153,f125204,f125932,f127197,f127199,f127358,f127362,f127385,f127401,f127405,f127419,f127423,f127455,f127475,f127479,f127521,f127553,f127558,f127563,f127568,f127573,f127578,f127644,f127649,f127654,f127659,f127664,f127669,f127674,f127687,f128249,f128904,f128912,f129397,f129410,f129449,f129456,f130208,f130242,f130248,f130267,f130436,f130438,f130482,f132460,f132611,f132645,f132669,f133386,f133393,f133475,f133675,f133680,f133682,f133687,f133702,f133707,f133709,f133713,f133718,f133722,f133728,f133734,f133736,f133741,f133898,f133916,f133924,f133932,f134087,f134091,f134098,f134953,f134958,f134984,f135017,f135324,f136006,f136008,f136187,f136214,f138979,f139006,f139231,f140767,f140777,f140782,f140787,f141430,f141450,f141498,f141518,f141629,f141649,f141697,f141717,f142821,f142841])).
% 289.96/36.83 % SZS output end CNFRefutation for theBenchmark.p
% 291.56/38.00 % Elapsed time: 37.437559 seconds
% 291.56/38.00 % CPU time: 277.995954 seconds
% 291.56/38.00 % Memory used: 1.203 GB
%------------------------------------------------------------------------------