TSTP Solution File: SET802+4 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET802+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 12:35:13 EDT 2023
% Result : Theorem 7.76s 1.38s
% Output : CNFRefutation 7.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET802+4 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n004.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 10:16:52 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.5.1
% 7.76/1.38 % Refutation found
% 7.76/1.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 7.76/1.38 % SZS output start CNFRefutation for theBenchmark
% 7.76/1.38 fof(f1,axiom,(
% 7.76/1.38 (! [A,B] :( subset(A,B)<=> (! [X] :( member(X,A)=> member(X,B) ) )) )),
% 7.76/1.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.38 fof(f3,axiom,(
% 7.76/1.38 (! [X,A] :( member(X,power_set(A))<=> subset(X,A) ) )),
% 7.76/1.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.38 fof(f4,axiom,(
% 7.76/1.38 (! [X,A,B] :( member(X,intersection(A,B))<=> ( member(X,A)& member(X,B) ) ) )),
% 7.76/1.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.38 fof(f5,axiom,(
% 7.76/1.38 (! [X,A,B] :( member(X,union(A,B))<=> ( member(X,A)| member(X,B) ) ) )),
% 7.76/1.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.38 fof(f7,axiom,(
% 7.76/1.38 (! [B,A,E] :( member(B,difference(E,A))<=> ( member(B,E)& ~ member(B,A) ) ) )),
% 7.76/1.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.38 fof(f8,axiom,(
% 7.76/1.38 (! [X,A] :( member(X,singleton(A))<=> X = A ) )),
% 7.76/1.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.38 fof(f10,axiom,(
% 7.76/1.38 (! [X,A] :( member(X,sum(A))<=> (? [Y] :( member(Y,A)& member(X,Y) ) )) )),
% 7.76/1.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.38 fof(f12,axiom,(
% 7.76/1.38 (! [R,E] :( order(R,E)<=> ( (! [X] :( member(X,E)=> apply(R,X,X) ))& (! [X,Y] :( ( member(X,E)& member(Y,E) )=> ( ( apply(R,X,Y)& apply(R,Y,X) )=> X = Y ) ))& (! [X,Y,Z] :( ( member(X,E)& member(Y,E)& member(Z,E) )=> ( ( apply(R,X,Y)& apply(R,Y,Z) )=> apply(R,X,Z) ) ) )) ) )),
% 7.76/1.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.38 fof(f15,axiom,(
% 7.76/1.38 (! [R,E,M] :( lower_bound(M,R,E)<=> (! [X] :( member(X,E)=> apply(R,M,X) ) )) )),
% 7.76/1.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.38 fof(f17,axiom,(
% 7.76/1.38 (! [R,E,M] :( least(M,R,E)<=> ( member(M,E)& (! [X] :( member(X,E)=> apply(R,M,X) ) )) ) )),
% 7.76/1.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.38 fof(f18,axiom,(
% 7.76/1.38 (! [R,E,M] :( max(M,R,E)<=> ( member(M,E)& (! [X] :( ( member(X,E)& apply(R,M,X) )=> M = X ) )) ) )),
% 7.76/1.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.38 fof(f21,axiom,(
% 7.76/1.38 (! [A,X,R,E] :( greatest_lower_bound(A,X,R,E)<=> ( member(A,X)& lower_bound(A,R,X)& (! [M] :( ( member(M,E)& lower_bound(M,R,X) )=> apply(R,M,A) ) )) ) )),
% 7.76/1.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.38 fof(f22,conjecture,(
% 7.76/1.38 (! [R,E] :( order(R,E)=> (! [X] :( subset(X,E)=> (! [M] :( least(M,R,X)<=> ( member(M,X)& greatest_lower_bound(M,X,R,E) ) ) )) )) )),
% 7.76/1.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.76/1.38 fof(f23,negated_conjecture,(
% 7.76/1.38 ~((! [R,E] :( order(R,E)=> (! [X] :( subset(X,E)=> (! [M] :( least(M,R,X)<=> ( member(M,X)& greatest_lower_bound(M,X,R,E) ) ) )) )) ))),
% 7.76/1.38 inference(negated_conjecture,[status(cth)],[f22])).
% 7.76/1.38 fof(f24,plain,(
% 7.76/1.38 ![A,B]: (subset(A,B)<=>(![X]: (~member(X,A)|member(X,B))))),
% 7.76/1.38 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 7.76/1.38 fof(f25,plain,(
% 7.76/1.38 ![A,B]: ((~subset(A,B)|(![X]: (~member(X,A)|member(X,B))))&(subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 7.76/1.38 inference(NNF_transformation,[status(esa)],[f24])).
% 7.76/1.38 fof(f26,plain,(
% 7.76/1.38 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 7.76/1.38 inference(miniscoping,[status(esa)],[f25])).
% 7.76/1.38 fof(f27,plain,(
% 7.76/1.38 (![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))))),
% 7.76/1.38 inference(skolemization,[status(esa)],[f26])).
% 7.76/1.38 fof(f28,plain,(
% 7.76/1.38 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f27])).
% 7.76/1.38 fof(f29,plain,(
% 7.76/1.38 ![X0,X1]: (subset(X0,X1)|member(sk0_0(X1,X0),X0))),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f27])).
% 7.76/1.38 fof(f30,plain,(
% 7.76/1.38 ![X0,X1]: (subset(X0,X1)|~member(sk0_0(X1,X0),X1))),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f27])).
% 7.76/1.38 fof(f36,plain,(
% 7.76/1.38 ![X,A]: ((~member(X,power_set(A))|subset(X,A))&(member(X,power_set(A))|~subset(X,A)))),
% 7.76/1.38 inference(NNF_transformation,[status(esa)],[f3])).
% 7.76/1.38 fof(f37,plain,(
% 7.76/1.38 (![X,A]: (~member(X,power_set(A))|subset(X,A)))&(![X,A]: (member(X,power_set(A))|~subset(X,A)))),
% 7.76/1.38 inference(miniscoping,[status(esa)],[f36])).
% 7.76/1.38 fof(f39,plain,(
% 7.76/1.38 ![X0,X1]: (member(X0,power_set(X1))|~subset(X0,X1))),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f37])).
% 7.76/1.38 fof(f40,plain,(
% 7.76/1.38 ![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))))),
% 7.76/1.38 inference(NNF_transformation,[status(esa)],[f4])).
% 7.76/1.38 fof(f41,plain,(
% 7.76/1.38 (![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))))),
% 7.76/1.38 inference(miniscoping,[status(esa)],[f40])).
% 7.76/1.38 fof(f42,plain,(
% 7.76/1.38 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f41])).
% 7.76/1.38 fof(f44,plain,(
% 7.76/1.38 ![X0,X1,X2]: (member(X0,intersection(X1,X2))|~member(X0,X1)|~member(X0,X2))),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f41])).
% 7.76/1.38 fof(f45,plain,(
% 7.76/1.38 ![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))))),
% 7.76/1.38 inference(NNF_transformation,[status(esa)],[f5])).
% 7.76/1.38 fof(f46,plain,(
% 7.76/1.38 (![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))))),
% 7.76/1.38 inference(miniscoping,[status(esa)],[f45])).
% 7.76/1.38 fof(f47,plain,(
% 7.76/1.38 ![X0,X1,X2]: (~member(X0,union(X1,X2))|member(X0,X1)|member(X0,X2))),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f46])).
% 7.76/1.38 fof(f48,plain,(
% 7.76/1.38 ![X0,X1,X2]: (member(X0,union(X1,X2))|~member(X0,X1))),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f46])).
% 7.76/1.38 fof(f49,plain,(
% 7.76/1.38 ![X0,X1,X2]: (member(X0,union(X1,X2))|~member(X0,X2))),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f46])).
% 7.76/1.38 fof(f51,plain,(
% 7.76/1.38 ![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))))),
% 7.76/1.38 inference(NNF_transformation,[status(esa)],[f7])).
% 7.76/1.38 fof(f52,plain,(
% 7.76/1.38 (![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))))),
% 7.76/1.38 inference(miniscoping,[status(esa)],[f51])).
% 7.76/1.38 fof(f53,plain,(
% 7.76/1.38 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|member(X0,X1))),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f52])).
% 7.76/1.38 fof(f54,plain,(
% 7.76/1.38 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|~member(X0,X2))),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f52])).
% 7.76/1.38 fof(f55,plain,(
% 7.76/1.38 ![X0,X1,X2]: (member(X0,difference(X1,X2))|~member(X0,X1)|member(X0,X2))),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f52])).
% 7.76/1.38 fof(f56,plain,(
% 7.76/1.38 ![X,A]: ((~member(X,singleton(A))|X=A)&(member(X,singleton(A))|~X=A))),
% 7.76/1.38 inference(NNF_transformation,[status(esa)],[f8])).
% 7.76/1.38 fof(f57,plain,(
% 7.76/1.38 (![X,A]: (~member(X,singleton(A))|X=A))&(![X,A]: (member(X,singleton(A))|~X=A))),
% 7.76/1.38 inference(miniscoping,[status(esa)],[f56])).
% 7.76/1.38 fof(f59,plain,(
% 7.76/1.38 ![X0,X1]: (member(X0,singleton(X1))|~X0=X1)),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f57])).
% 7.76/1.38 fof(f65,plain,(
% 7.76/1.38 ![X,A]: ((~member(X,sum(A))|(?[Y]: (member(Y,A)&member(X,Y))))&(member(X,sum(A))|(![Y]: (~member(Y,A)|~member(X,Y)))))),
% 7.76/1.38 inference(NNF_transformation,[status(esa)],[f10])).
% 7.76/1.38 fof(f66,plain,(
% 7.76/1.38 (![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)))))),
% 7.76/1.38 inference(miniscoping,[status(esa)],[f65])).
% 7.76/1.38 fof(f67,plain,(
% 7.76/1.38 (![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)))))),
% 7.76/1.38 inference(skolemization,[status(esa)],[f66])).
% 7.76/1.38 fof(f70,plain,(
% 7.76/1.38 ![X0,X1,X2]: (member(X0,sum(X1))|~member(X2,X1)|~member(X0,X2))),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f67])).
% 7.76/1.38 fof(f78,plain,(
% 7.76/1.38 ![R,E]: (order(R,E)<=>(((![X]: (~member(X,E)|apply(R,X,X)))&(![X,Y]: ((~member(X,E)|~member(Y,E))|((~apply(R,X,Y)|~apply(R,Y,X))|X=Y))))&(![X,Y,Z]: (((~member(X,E)|~member(Y,E))|~member(Z,E))|((~apply(R,X,Y)|~apply(R,Y,Z))|apply(R,X,Z))))))),
% 7.76/1.38 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 7.76/1.38 fof(f79,plain,(
% 7.76/1.38 ![R,E]: (pd0_0(E,R)<=>((![X]: (~member(X,E)|apply(R,X,X)))&(![X,Y]: ((~member(X,E)|~member(Y,E))|((~apply(R,X,Y)|~apply(R,Y,X))|X=Y)))))),
% 7.76/1.38 introduced(predicate_definition,[f78])).
% 7.76/1.38 fof(f80,plain,(
% 7.76/1.38 ![R,E]: (order(R,E)<=>(pd0_0(E,R)&(![X,Y,Z]: (((~member(X,E)|~member(Y,E))|~member(Z,E))|((~apply(R,X,Y)|~apply(R,Y,Z))|apply(R,X,Z))))))),
% 7.76/1.38 inference(formula_renaming,[status(thm)],[f78,f79])).
% 7.76/1.38 fof(f81,plain,(
% 7.76/1.38 ![R,E]: ((~order(R,E)|(pd0_0(E,R)&(![X,Y,Z]: (((~member(X,E)|~member(Y,E))|~member(Z,E))|((~apply(R,X,Y)|~apply(R,Y,Z))|apply(R,X,Z))))))&(order(R,E)|(~pd0_0(E,R)|(?[X,Y,Z]: (((member(X,E)&member(Y,E))&member(Z,E))&((apply(R,X,Y)&apply(R,Y,Z))&~apply(R,X,Z)))))))),
% 7.76/1.38 inference(NNF_transformation,[status(esa)],[f80])).
% 7.76/1.38 fof(f82,plain,(
% 7.76/1.38 (![R,E]: (~order(R,E)|(pd0_0(E,R)&(![X,Y,Z]: (((~member(X,E)|~member(Y,E))|~member(Z,E))|((~apply(R,X,Y)|~apply(R,Y,Z))|apply(R,X,Z)))))))&(![R,E]: (order(R,E)|(~pd0_0(E,R)|(?[X,Y,Z]: (((member(X,E)&member(Y,E))&member(Z,E))&((apply(R,X,Y)&apply(R,Y,Z))&~apply(R,X,Z)))))))),
% 7.76/1.38 inference(miniscoping,[status(esa)],[f81])).
% 7.76/1.38 fof(f83,plain,(
% 7.76/1.38 (![R,E]: (~order(R,E)|(pd0_0(E,R)&(![X,Y,Z]: (((~member(X,E)|~member(Y,E))|~member(Z,E))|((~apply(R,X,Y)|~apply(R,Y,Z))|apply(R,X,Z)))))))&(![R,E]: (order(R,E)|(~pd0_0(E,R)|(((member(sk0_3(E,R),E)&member(sk0_4(E,R),E))&member(sk0_5(E,R),E))&((apply(R,sk0_3(E,R),sk0_4(E,R))&apply(R,sk0_4(E,R),sk0_5(E,R)))&~apply(R,sk0_3(E,R),sk0_5(E,R)))))))),
% 7.76/1.38 inference(skolemization,[status(esa)],[f82])).
% 7.76/1.38 fof(f84,plain,(
% 7.76/1.38 ![X0,X1]: (~order(X0,X1)|pd0_0(X1,X0))),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f83])).
% 7.76/1.38 fof(f85,plain,(
% 7.76/1.38 ![X0,X1,X2,X3,X4]: (~order(X0,X1)|~member(X2,X1)|~member(X3,X1)|~member(X4,X1)|~apply(X0,X2,X3)|~apply(X0,X3,X4)|apply(X0,X2,X4))),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f83])).
% 7.76/1.38 fof(f109,plain,(
% 7.76/1.38 ![R,E,M]: (lower_bound(M,R,E)<=>(![X]: (~member(X,E)|apply(R,M,X))))),
% 7.76/1.38 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 7.76/1.38 fof(f110,plain,(
% 7.76/1.38 ![R,E,M]: ((~lower_bound(M,R,E)|(![X]: (~member(X,E)|apply(R,M,X))))&(lower_bound(M,R,E)|(?[X]: (member(X,E)&~apply(R,M,X)))))),
% 7.76/1.38 inference(NNF_transformation,[status(esa)],[f109])).
% 7.76/1.38 fof(f111,plain,(
% 7.76/1.38 (![R,E,M]: (~lower_bound(M,R,E)|(![X]: (~member(X,E)|apply(R,M,X)))))&(![R,E,M]: (lower_bound(M,R,E)|(?[X]: (member(X,E)&~apply(R,M,X)))))),
% 7.76/1.38 inference(miniscoping,[status(esa)],[f110])).
% 7.76/1.38 fof(f112,plain,(
% 7.76/1.38 (![R,E,M]: (~lower_bound(M,R,E)|(![X]: (~member(X,E)|apply(R,M,X)))))&(![R,E,M]: (lower_bound(M,R,E)|(member(sk0_9(M,E,R),E)&~apply(R,M,sk0_9(M,E,R)))))),
% 7.76/1.38 inference(skolemization,[status(esa)],[f111])).
% 7.76/1.38 fof(f113,plain,(
% 7.76/1.38 ![X0,X1,X2,X3]: (~lower_bound(X0,X1,X2)|~member(X3,X2)|apply(X1,X0,X3))),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f112])).
% 7.76/1.38 fof(f114,plain,(
% 7.76/1.38 ![X0,X1,X2]: (lower_bound(X0,X1,X2)|member(sk0_9(X0,X2,X1),X2))),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f112])).
% 7.76/1.38 fof(f115,plain,(
% 7.76/1.38 ![X0,X1,X2]: (lower_bound(X0,X1,X2)|~apply(X1,X0,sk0_9(X0,X2,X1)))),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f112])).
% 7.76/1.38 fof(f124,plain,(
% 7.76/1.38 ![R,E,M]: (least(M,R,E)<=>(member(M,E)&(![X]: (~member(X,E)|apply(R,M,X)))))),
% 7.76/1.38 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 7.76/1.38 fof(f125,plain,(
% 7.76/1.38 ![R,E,M]: ((~least(M,R,E)|(member(M,E)&(![X]: (~member(X,E)|apply(R,M,X)))))&(least(M,R,E)|(~member(M,E)|(?[X]: (member(X,E)&~apply(R,M,X))))))),
% 7.76/1.38 inference(NNF_transformation,[status(esa)],[f124])).
% 7.76/1.38 fof(f126,plain,(
% 7.76/1.38 (![R,E,M]: (~least(M,R,E)|(member(M,E)&(![X]: (~member(X,E)|apply(R,M,X))))))&(![R,E,M]: (least(M,R,E)|(~member(M,E)|(?[X]: (member(X,E)&~apply(R,M,X))))))),
% 7.76/1.38 inference(miniscoping,[status(esa)],[f125])).
% 7.76/1.38 fof(f127,plain,(
% 7.76/1.38 (![R,E,M]: (~least(M,R,E)|(member(M,E)&(![X]: (~member(X,E)|apply(R,M,X))))))&(![R,E,M]: (least(M,R,E)|(~member(M,E)|(member(sk0_11(M,E,R),E)&~apply(R,M,sk0_11(M,E,R))))))),
% 7.76/1.38 inference(skolemization,[status(esa)],[f126])).
% 7.76/1.38 fof(f128,plain,(
% 7.76/1.38 ![X0,X1,X2]: (~least(X0,X1,X2)|member(X0,X2))),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f127])).
% 7.76/1.38 fof(f129,plain,(
% 7.76/1.38 ![X0,X1,X2,X3]: (~least(X0,X1,X2)|~member(X3,X2)|apply(X1,X0,X3))),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f127])).
% 7.76/1.38 fof(f130,plain,(
% 7.76/1.38 ![X0,X1,X2]: (least(X0,X1,X2)|~member(X0,X2)|member(sk0_11(X0,X2,X1),X2))),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f127])).
% 7.76/1.38 fof(f131,plain,(
% 7.76/1.38 ![X0,X1,X2]: (least(X0,X1,X2)|~member(X0,X2)|~apply(X1,X0,sk0_11(X0,X2,X1)))),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f127])).
% 7.76/1.38 fof(f132,plain,(
% 7.76/1.38 ![R,E,M]: (max(M,R,E)<=>(member(M,E)&(![X]: ((~member(X,E)|~apply(R,M,X))|M=X))))),
% 7.76/1.38 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 7.76/1.38 fof(f133,plain,(
% 7.76/1.38 ![R,E,M]: ((~max(M,R,E)|(member(M,E)&(![X]: ((~member(X,E)|~apply(R,M,X))|M=X))))&(max(M,R,E)|(~member(M,E)|(?[X]: ((member(X,E)&apply(R,M,X))&~M=X)))))),
% 7.76/1.38 inference(NNF_transformation,[status(esa)],[f132])).
% 7.76/1.38 fof(f134,plain,(
% 7.76/1.38 (![R,E,M]: (~max(M,R,E)|(member(M,E)&(![X]: ((~member(X,E)|~apply(R,M,X))|M=X)))))&(![R,E,M]: (max(M,R,E)|(~member(M,E)|(?[X]: ((member(X,E)&apply(R,M,X))&~M=X)))))),
% 7.76/1.38 inference(miniscoping,[status(esa)],[f133])).
% 7.76/1.38 fof(f135,plain,(
% 7.76/1.38 (![R,E,M]: (~max(M,R,E)|(member(M,E)&(![X]: ((~member(X,E)|~apply(R,M,X))|M=X)))))&(![R,E,M]: (max(M,R,E)|(~member(M,E)|((member(sk0_12(M,E,R),E)&apply(R,M,sk0_12(M,E,R)))&~M=sk0_12(M,E,R)))))),
% 7.76/1.38 inference(skolemization,[status(esa)],[f134])).
% 7.76/1.38 fof(f139,plain,(
% 7.76/1.38 ![X0,X1,X2]: (max(X0,X1,X2)|~member(X0,X2)|apply(X1,X0,sk0_12(X0,X2,X1)))),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f135])).
% 7.76/1.38 fof(f160,plain,(
% 7.76/1.38 ![A,X,R,E]: (greatest_lower_bound(A,X,R,E)<=>((member(A,X)&lower_bound(A,R,X))&(![M]: ((~member(M,E)|~lower_bound(M,R,X))|apply(R,M,A)))))),
% 7.76/1.38 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 7.76/1.38 fof(f161,plain,(
% 7.76/1.38 ![A,X,R,E]: ((~greatest_lower_bound(A,X,R,E)|((member(A,X)&lower_bound(A,R,X))&(![M]: ((~member(M,E)|~lower_bound(M,R,X))|apply(R,M,A)))))&(greatest_lower_bound(A,X,R,E)|((~member(A,X)|~lower_bound(A,R,X))|(?[M]: ((member(M,E)&lower_bound(M,R,X))&~apply(R,M,A))))))),
% 7.76/1.38 inference(NNF_transformation,[status(esa)],[f160])).
% 7.76/1.38 fof(f162,plain,(
% 7.76/1.38 (![A,X,R,E]: (~greatest_lower_bound(A,X,R,E)|((member(A,X)&lower_bound(A,R,X))&(![M]: ((~member(M,E)|~lower_bound(M,R,X))|apply(R,M,A))))))&(![A,X,R,E]: (greatest_lower_bound(A,X,R,E)|((~member(A,X)|~lower_bound(A,R,X))|(?[M]: ((member(M,E)&lower_bound(M,R,X))&~apply(R,M,A))))))),
% 7.76/1.38 inference(miniscoping,[status(esa)],[f161])).
% 7.76/1.38 fof(f163,plain,(
% 7.76/1.38 (![A,X,R,E]: (~greatest_lower_bound(A,X,R,E)|((member(A,X)&lower_bound(A,R,X))&(![M]: ((~member(M,E)|~lower_bound(M,R,X))|apply(R,M,A))))))&(![A,X,R,E]: (greatest_lower_bound(A,X,R,E)|((~member(A,X)|~lower_bound(A,R,X))|((member(sk0_15(E,R,X,A),E)&lower_bound(sk0_15(E,R,X,A),R,X))&~apply(R,sk0_15(E,R,X,A),A)))))),
% 7.76/1.38 inference(skolemization,[status(esa)],[f162])).
% 7.76/1.38 fof(f165,plain,(
% 7.76/1.38 ![X0,X1,X2,X3]: (~greatest_lower_bound(X0,X1,X2,X3)|lower_bound(X0,X2,X1))),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f163])).
% 7.76/1.38 fof(f168,plain,(
% 7.76/1.38 ![X0,X1,X2,X3]: (greatest_lower_bound(X0,X1,X2,X3)|~member(X0,X1)|~lower_bound(X0,X2,X1)|lower_bound(sk0_15(X3,X2,X1,X0),X2,X1))),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f163])).
% 7.76/1.38 fof(f169,plain,(
% 7.76/1.38 ![X0,X1,X2,X3]: (greatest_lower_bound(X0,X1,X2,X3)|~member(X0,X1)|~lower_bound(X0,X2,X1)|~apply(X2,sk0_15(X3,X2,X1,X0),X0))),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f163])).
% 7.76/1.38 fof(f170,plain,(
% 7.76/1.38 (?[R,E]: (order(R,E)&(?[X]: (subset(X,E)&(?[M]: (least(M,R,X)<~>(member(M,X)&greatest_lower_bound(M,X,R,E))))))))),
% 7.76/1.38 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 7.76/1.38 fof(f171,plain,(
% 7.76/1.38 ?[R,E]: (order(R,E)&(?[X]: (subset(X,E)&(?[M]: ((least(M,R,X)|(member(M,X)&greatest_lower_bound(M,X,R,E)))&(~least(M,R,X)|(~member(M,X)|~greatest_lower_bound(M,X,R,E))))))))),
% 7.76/1.38 inference(NNF_transformation,[status(esa)],[f170])).
% 7.76/1.38 fof(f172,plain,(
% 7.76/1.38 (order(sk0_16,sk0_17)&(subset(sk0_18,sk0_17)&((least(sk0_19,sk0_16,sk0_18)|(member(sk0_19,sk0_18)&greatest_lower_bound(sk0_19,sk0_18,sk0_16,sk0_17)))&(~least(sk0_19,sk0_16,sk0_18)|(~member(sk0_19,sk0_18)|~greatest_lower_bound(sk0_19,sk0_18,sk0_16,sk0_17))))))),
% 7.76/1.38 inference(skolemization,[status(esa)],[f171])).
% 7.76/1.38 fof(f173,plain,(
% 7.76/1.38 order(sk0_16,sk0_17)),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f172])).
% 7.76/1.38 fof(f174,plain,(
% 7.76/1.38 subset(sk0_18,sk0_17)),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f172])).
% 7.76/1.38 fof(f175,plain,(
% 7.76/1.38 least(sk0_19,sk0_16,sk0_18)|member(sk0_19,sk0_18)),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f172])).
% 7.76/1.38 fof(f176,plain,(
% 7.76/1.38 least(sk0_19,sk0_16,sk0_18)|greatest_lower_bound(sk0_19,sk0_18,sk0_16,sk0_17)),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f172])).
% 7.76/1.38 fof(f177,plain,(
% 7.76/1.38 ~least(sk0_19,sk0_16,sk0_18)|~member(sk0_19,sk0_18)|~greatest_lower_bound(sk0_19,sk0_18,sk0_16,sk0_17)),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f172])).
% 7.76/1.38 fof(f178,plain,(
% 7.76/1.38 ![R,E,X]: (pd0_1(X,E,R)<=>(~member(X,E)|apply(R,X,X)))),
% 7.76/1.38 introduced(predicate_definition,[f79])).
% 7.76/1.38 fof(f179,plain,(
% 7.76/1.38 ![R,E]: (pd0_0(E,R)<=>((![X]: pd0_1(X,E,R))&(![X,Y]: ((~member(X,E)|~member(Y,E))|((~apply(R,X,Y)|~apply(R,Y,X))|X=Y)))))),
% 7.76/1.38 inference(formula_renaming,[status(thm)],[f79,f178])).
% 7.76/1.38 fof(f180,plain,(
% 7.76/1.38 ![R,E]: ((~pd0_0(E,R)|((![X]: pd0_1(X,E,R))&(![X,Y]: ((~member(X,E)|~member(Y,E))|((~apply(R,X,Y)|~apply(R,Y,X))|X=Y)))))&(pd0_0(E,R)|((?[X]: ~pd0_1(X,E,R))|(?[X,Y]: ((member(X,E)&member(Y,E))&((apply(R,X,Y)&apply(R,Y,X))&~X=Y))))))),
% 7.76/1.38 inference(NNF_transformation,[status(esa)],[f179])).
% 7.76/1.38 fof(f181,plain,(
% 7.76/1.38 (![R,E]: (~pd0_0(E,R)|((![X]: pd0_1(X,E,R))&(![X,Y]: ((~member(X,E)|~member(Y,E))|((~apply(R,X,Y)|~apply(R,Y,X))|X=Y))))))&(![R,E]: (pd0_0(E,R)|((?[X]: ~pd0_1(X,E,R))|(?[X,Y]: ((member(X,E)&member(Y,E))&((apply(R,X,Y)&apply(R,Y,X))&~X=Y))))))),
% 7.76/1.38 inference(miniscoping,[status(esa)],[f180])).
% 7.76/1.38 fof(f182,plain,(
% 7.76/1.38 (![R,E]: (~pd0_0(E,R)|((![X]: pd0_1(X,E,R))&(![X,Y]: ((~member(X,E)|~member(Y,E))|((~apply(R,X,Y)|~apply(R,Y,X))|X=Y))))))&(![R,E]: (pd0_0(E,R)|(~pd0_1(sk0_20(E,R),E,R)|((member(sk0_21(E,R),E)&member(sk0_22(E,R),E))&((apply(R,sk0_21(E,R),sk0_22(E,R))&apply(R,sk0_22(E,R),sk0_21(E,R)))&~sk0_21(E,R)=sk0_22(E,R))))))),
% 7.76/1.38 inference(skolemization,[status(esa)],[f181])).
% 7.76/1.38 fof(f183,plain,(
% 7.76/1.38 ![X0,X1,X2]: (~pd0_0(X0,X1)|pd0_1(X2,X0,X1))),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f182])).
% 7.76/1.38 fof(f184,plain,(
% 7.76/1.38 ![X0,X1,X2,X3]: (~pd0_0(X0,X1)|~member(X2,X0)|~member(X3,X0)|~apply(X1,X2,X3)|~apply(X1,X3,X2)|X2=X3)),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f182])).
% 7.76/1.38 fof(f190,plain,(
% 7.76/1.38 ![R,E,X]: ((~pd0_1(X,E,R)|(~member(X,E)|apply(R,X,X)))&(pd0_1(X,E,R)|(member(X,E)&~apply(R,X,X))))),
% 7.76/1.38 inference(NNF_transformation,[status(esa)],[f178])).
% 7.76/1.38 fof(f191,plain,(
% 7.76/1.38 (![R,E,X]: (~pd0_1(X,E,R)|(~member(X,E)|apply(R,X,X))))&(![R,E,X]: (pd0_1(X,E,R)|(member(X,E)&~apply(R,X,X))))),
% 7.76/1.38 inference(miniscoping,[status(esa)],[f190])).
% 7.76/1.38 fof(f192,plain,(
% 7.76/1.38 ![X0,X1,X2]: (~pd0_1(X0,X1,X2)|~member(X0,X1)|apply(X2,X0,X0))),
% 7.76/1.38 inference(cnf_transformation,[status(esa)],[f191])).
% 7.76/1.38 fof(f195,plain,(
% 7.76/1.38 spl0_0 <=> least(sk0_19,sk0_16,sk0_18)),
% 7.76/1.38 introduced(split_symbol_definition)).
% 7.76/1.38 fof(f196,plain,(
% 7.76/1.38 least(sk0_19,sk0_16,sk0_18)|~spl0_0),
% 7.76/1.38 inference(component_clause,[status(thm)],[f195])).
% 7.76/1.38 fof(f198,plain,(
% 7.76/1.38 spl0_1 <=> member(sk0_19,sk0_18)),
% 7.76/1.38 introduced(split_symbol_definition)).
% 7.76/1.38 fof(f199,plain,(
% 7.76/1.38 member(sk0_19,sk0_18)|~spl0_1),
% 7.76/1.38 inference(component_clause,[status(thm)],[f198])).
% 7.76/1.38 fof(f200,plain,(
% 7.76/1.38 ~member(sk0_19,sk0_18)|spl0_1),
% 7.76/1.38 inference(component_clause,[status(thm)],[f198])).
% 7.76/1.38 fof(f201,plain,(
% 7.76/1.38 spl0_0|spl0_1),
% 7.76/1.38 inference(split_clause,[status(thm)],[f175,f195,f198])).
% 7.76/1.38 fof(f202,plain,(
% 7.76/1.38 spl0_2 <=> greatest_lower_bound(sk0_19,sk0_18,sk0_16,sk0_17)),
% 7.76/1.38 introduced(split_symbol_definition)).
% 7.76/1.38 fof(f203,plain,(
% 7.76/1.38 greatest_lower_bound(sk0_19,sk0_18,sk0_16,sk0_17)|~spl0_2),
% 7.76/1.38 inference(component_clause,[status(thm)],[f202])).
% 7.76/1.38 fof(f204,plain,(
% 7.76/1.38 ~greatest_lower_bound(sk0_19,sk0_18,sk0_16,sk0_17)|spl0_2),
% 7.76/1.38 inference(component_clause,[status(thm)],[f202])).
% 7.76/1.38 fof(f205,plain,(
% 7.76/1.38 spl0_0|spl0_2),
% 7.76/1.38 inference(split_clause,[status(thm)],[f176,f195,f202])).
% 7.76/1.38 fof(f206,plain,(
% 7.76/1.38 ~spl0_0|~spl0_1|~spl0_2),
% 7.76/1.38 inference(split_clause,[status(thm)],[f177,f195,f198,f202])).
% 7.76/1.38 fof(f207,plain,(
% 7.76/1.38 pd0_0(sk0_17,sk0_16)),
% 7.76/1.38 inference(resolution,[status(thm)],[f84,f173])).
% 7.76/1.38 fof(f208,plain,(
% 7.76/1.38 member(sk0_19,sk0_18)|~spl0_0),
% 7.76/1.38 inference(resolution,[status(thm)],[f128,f196])).
% 7.76/1.38 fof(f209,plain,(
% 7.76/1.38 $false|spl0_1|~spl0_0),
% 7.76/1.38 inference(forward_subsumption_resolution,[status(thm)],[f208,f200])).
% 7.76/1.38 fof(f210,plain,(
% 7.76/1.38 spl0_1|~spl0_0),
% 7.76/1.38 inference(contradiction_clause,[status(thm)],[f209])).
% 7.76/1.38 fof(f211,plain,(
% 7.76/1.38 lower_bound(sk0_19,sk0_16,sk0_18)|~spl0_2),
% 7.76/1.38 inference(resolution,[status(thm)],[f165,f203])).
% 7.76/1.38 fof(f212,plain,(
% 7.76/1.38 ![X0]: (~member(X0,sk0_18)|member(X0,sk0_17))),
% 7.76/1.38 inference(resolution,[status(thm)],[f28,f174])).
% 7.76/1.38 fof(f213,plain,(
% 7.76/1.38 member(sk0_19,sk0_17)|~spl0_1),
% 7.76/1.38 inference(resolution,[status(thm)],[f212,f199])).
% 7.76/1.38 fof(f214,plain,(
% 7.76/1.38 ![X0,X1,X2]: (~member(X0,sk0_17)|~member(X1,sk0_17)|~member(X2,sk0_17)|~apply(sk0_16,X0,X1)|~apply(sk0_16,X1,X2)|apply(sk0_16,X0,X2))),
% 7.76/1.38 inference(resolution,[status(thm)],[f85,f173])).
% 7.76/1.38 fof(f216,plain,(
% 7.76/1.38 spl0_3 <=> member(sk0_19,sk0_17)),
% 7.76/1.38 introduced(split_symbol_definition)).
% 7.76/1.38 fof(f218,plain,(
% 7.76/1.38 ~member(sk0_19,sk0_17)|spl0_3),
% 7.76/1.38 inference(component_clause,[status(thm)],[f216])).
% 7.76/1.38 fof(f224,plain,(
% 7.76/1.38 ![X0]: (~member(X0,sk0_18)|apply(sk0_16,sk0_19,X0)|~spl0_0)),
% 7.76/1.38 inference(resolution,[status(thm)],[f196,f129])).
% 7.76/1.38 fof(f226,plain,(
% 7.76/1.38 spl0_5 <=> ~member(X0,sk0_17)|~apply(sk0_16,sk0_19,X0)|apply(sk0_16,sk0_19,X0)),
% 7.76/1.38 introduced(split_symbol_definition)).
% 7.76/1.38 fof(f231,plain,(
% 7.76/1.38 $false|~spl0_1|spl0_3),
% 7.76/1.38 inference(forward_subsumption_resolution,[status(thm)],[f218,f213])).
% 7.76/1.38 fof(f232,plain,(
% 7.76/1.38 ~spl0_1|spl0_3),
% 7.76/1.38 inference(contradiction_clause,[status(thm)],[f231])).
% 7.76/1.38 fof(f233,plain,(
% 7.76/1.38 ![X0]: (member(X0,singleton(X0)))),
% 7.76/1.38 inference(equality_resolution,[status(esa)],[f59])).
% 7.76/1.38 fof(f237,plain,(
% 7.76/1.38 ![X0]: (subset(sk0_18,X0)|member(sk0_0(X0,sk0_18),sk0_17))),
% 7.76/1.38 inference(resolution,[status(thm)],[f29,f212])).
% 7.76/1.38 fof(f244,plain,(
% 7.76/1.38 ![X0]: (pd0_1(X0,sk0_17,sk0_16))),
% 7.76/1.38 inference(resolution,[status(thm)],[f183,f207])).
% 7.76/1.38 fof(f259,plain,(
% 7.76/1.38 ![X0]: (~member(X0,sk0_17)|apply(sk0_16,X0,X0))),
% 7.76/1.38 inference(resolution,[status(thm)],[f192,f244])).
% 7.76/1.38 fof(f271,plain,(
% 7.76/1.38 spl0_10 <=> subset(sk0_18,sk0_17)),
% 7.76/1.38 introduced(split_symbol_definition)).
% 7.76/1.38 fof(f274,plain,(
% 7.76/1.38 subset(sk0_18,sk0_17)|subset(sk0_18,sk0_17)),
% 7.76/1.38 inference(resolution,[status(thm)],[f30,f237])).
% 7.76/1.38 fof(f275,plain,(
% 7.76/1.38 spl0_10),
% 7.76/1.38 inference(split_clause,[status(thm)],[f274,f271])).
% 7.76/1.38 fof(f276,plain,(
% 7.76/1.38 ![X0]: (subset(X0,X0)|subset(X0,X0))),
% 7.76/1.38 inference(resolution,[status(thm)],[f30,f29])).
% 7.76/1.38 fof(f277,plain,(
% 7.76/1.38 ![X0]: (subset(X0,X0))),
% 7.76/1.38 inference(duplicate_literals_removal,[status(esa)],[f276])).
% 7.76/1.38 fof(f316,plain,(
% 7.76/1.38 ![X0,X1]: (~member(X0,sk0_17)|~member(X1,sk0_17)|~apply(sk0_16,X0,X1)|~apply(sk0_16,X1,X0)|X0=X1)),
% 7.76/1.38 inference(resolution,[status(thm)],[f184,f207])).
% 7.76/1.38 fof(f364,plain,(
% 7.76/1.38 member(sk0_18,power_set(sk0_17))),
% 7.76/1.38 inference(resolution,[status(thm)],[f39,f174])).
% 7.76/1.38 fof(f365,plain,(
% 7.76/1.38 ![X0]: (member(X0,power_set(X0)))),
% 7.76/1.38 inference(resolution,[status(thm)],[f39,f277])).
% 7.76/1.38 fof(f397,plain,(
% 7.76/1.38 ![X0]: (member(sk0_19,intersection(sk0_17,X0))|~member(sk0_19,X0)|~spl0_1)),
% 7.76/1.38 inference(resolution,[status(thm)],[f44,f213])).
% 7.76/1.38 fof(f398,plain,(
% 7.76/1.38 ![X0]: (member(sk0_19,intersection(sk0_18,X0))|~member(sk0_19,X0)|~spl0_1)),
% 7.76/1.38 inference(resolution,[status(thm)],[f44,f199])).
% 7.76/1.38 fof(f401,plain,(
% 7.76/1.38 ![X0,X1]: (member(X0,intersection(singleton(X0),X1))|~member(X0,X1))),
% 7.76/1.38 inference(resolution,[status(thm)],[f44,f233])).
% 7.76/1.38 fof(f402,plain,(
% 7.76/1.38 member(sk0_19,intersection(sk0_18,sk0_17))|~spl0_1),
% 7.76/1.38 inference(resolution,[status(thm)],[f398,f213])).
% 7.76/1.38 fof(f403,plain,(
% 7.76/1.38 member(sk0_19,intersection(sk0_18,sk0_18))|~spl0_1),
% 7.76/1.38 inference(resolution,[status(thm)],[f398,f199])).
% 7.76/1.38 fof(f528,plain,(
% 7.76/1.38 ![X0,X1]: (member(X0,intersection(power_set(X0),X1))|~member(X0,X1))),
% 7.76/1.38 inference(resolution,[status(thm)],[f365,f44])).
% 7.76/1.38 fof(f709,plain,(
% 7.76/1.38 ![X0]: (member(sk0_18,union(power_set(sk0_17),X0)))),
% 7.76/1.38 inference(resolution,[status(thm)],[f48,f364])).
% 7.76/1.38 fof(f724,plain,(
% 7.76/1.38 ![X0]: (member(sk0_19,union(intersection(sk0_18,sk0_17),X0))|~spl0_1)),
% 7.76/1.38 inference(resolution,[status(thm)],[f48,f402])).
% 7.76/1.38 fof(f728,plain,(
% 7.76/1.38 ![X0]: (member(sk0_19,union(intersection(sk0_18,sk0_18),X0))|~spl0_1)),
% 7.76/1.38 inference(resolution,[status(thm)],[f48,f403])).
% 7.76/1.38 fof(f729,plain,(
% 7.76/1.38 ![X0]: (member(sk0_19,union(sk0_17,X0))|~spl0_1)),
% 7.76/1.38 inference(resolution,[status(thm)],[f48,f213])).
% 7.76/1.38 fof(f730,plain,(
% 7.76/1.38 ![X0]: (member(sk0_19,union(sk0_18,X0))|~spl0_1)),
% 7.76/1.38 inference(resolution,[status(thm)],[f48,f199])).
% 7.76/1.38 fof(f823,plain,(
% 7.76/1.38 ![X0,X1]: (member(sk0_19,union(union(sk0_17,X0),X1))|~spl0_1)),
% 7.76/1.38 inference(resolution,[status(thm)],[f729,f48])).
% 7.76/1.38 fof(f851,plain,(
% 7.76/1.38 ![X0,X1]: (member(sk0_19,union(union(sk0_18,X0),X1))|~spl0_1)),
% 7.76/1.38 inference(resolution,[status(thm)],[f730,f48])).
% 7.76/1.38 fof(f855,plain,(
% 7.76/1.38 ![X0,X1]: (max(sk0_19,X0,union(sk0_18,X1))|apply(X0,sk0_19,sk0_12(sk0_19,union(sk0_18,X1),X0))|~spl0_1)),
% 7.76/1.38 inference(resolution,[status(thm)],[f730,f139])).
% 7.76/1.38 fof(f937,plain,(
% 7.76/1.38 ![X0]: (member(sk0_19,union(X0,sk0_17))|~spl0_1)),
% 7.76/1.38 inference(resolution,[status(thm)],[f49,f213])).
% 7.76/1.38 fof(f938,plain,(
% 7.76/1.38 ![X0]: (member(sk0_19,union(X0,sk0_18))|~spl0_1)),
% 7.76/1.38 inference(resolution,[status(thm)],[f49,f199])).
% 7.76/1.38 fof(f1053,plain,(
% 7.76/1.38 spl0_31 <=> member(sk0_18,power_set(sk0_17))),
% 7.76/1.38 introduced(split_symbol_definition)).
% 7.76/1.38 fof(f1056,plain,(
% 7.76/1.38 spl0_32 <=> member(sk0_18,X0)),
% 7.76/1.38 introduced(split_symbol_definition)).
% 7.76/1.38 fof(f1057,plain,(
% 7.76/1.38 ![X0]: (member(sk0_18,X0)|~spl0_32)),
% 7.76/1.38 inference(component_clause,[status(thm)],[f1056])).
% 7.76/1.38 fof(f1059,plain,(
% 7.76/1.38 ![X0]: (member(sk0_18,power_set(sk0_17))|member(sk0_18,X0))),
% 7.76/1.38 inference(resolution,[status(thm)],[f47,f709])).
% 7.76/1.38 fof(f1060,plain,(
% 7.76/1.38 spl0_31|spl0_32),
% 7.76/1.38 inference(split_clause,[status(thm)],[f1059,f1053,f1056])).
% 7.76/1.38 fof(f1064,plain,(
% 7.76/1.38 spl0_33 <=> member(sk0_19,X0)),
% 7.76/1.38 introduced(split_symbol_definition)).
% 7.76/1.38 fof(f1065,plain,(
% 7.76/1.38 ![X0]: (member(sk0_19,X0)|~spl0_33)),
% 7.76/1.38 inference(component_clause,[status(thm)],[f1064])).
% 7.76/1.38 fof(f1101,plain,(
% 7.76/1.38 ![X0]: (member(sk0_18,difference(power_set(sk0_17),X0))|member(sk0_18,X0))),
% 7.76/1.38 inference(resolution,[status(thm)],[f55,f364])).
% 7.76/1.38 fof(f1128,plain,(
% 7.76/1.38 ![X0]: (member(sk0_19,difference(sk0_18,X0))|member(sk0_19,X0)|~spl0_1)),
% 7.76/1.38 inference(resolution,[status(thm)],[f55,f199])).
% 7.76/1.38 fof(f1202,plain,(
% 7.76/1.38 ![X0,X1]: (member(X0,sum(power_set(X1)))|~member(X0,X1))),
% 7.76/1.38 inference(resolution,[status(thm)],[f70,f365])).
% 7.76/1.38 fof(f1209,plain,(
% 7.76/1.38 ![X0,X1]: (member(X0,sum(singleton(X1)))|~member(X0,X1))),
% 7.76/1.38 inference(resolution,[status(thm)],[f70,f233])).
% 7.76/1.38 fof(f1251,plain,(
% 7.76/1.38 ![X0]: (member(sk0_18,X0)|member(sk0_18,intersection(power_set(sk0_18),difference(power_set(sk0_17),X0))))),
% 7.76/1.38 inference(resolution,[status(thm)],[f1101,f528])).
% 7.76/1.38 fof(f1252,plain,(
% 7.76/1.38 ![X0]: (member(sk0_18,X0)|member(sk0_18,intersection(singleton(sk0_18),difference(power_set(sk0_17),X0))))),
% 7.76/1.38 inference(resolution,[status(thm)],[f1101,f401])).
% 7.76/1.38 fof(f1273,plain,(
% 7.76/1.38 spl0_36 <=> member(sk0_18,power_set(sk0_18))),
% 7.76/1.38 introduced(split_symbol_definition)).
% 7.76/1.38 fof(f1276,plain,(
% 7.76/1.38 ![X0]: (member(sk0_18,X0)|member(sk0_18,power_set(sk0_18)))),
% 7.76/1.38 inference(resolution,[status(thm)],[f1251,f42])).
% 7.76/1.38 fof(f1277,plain,(
% 7.76/1.38 spl0_32|spl0_36),
% 7.76/1.38 inference(split_clause,[status(thm)],[f1276,f1056,f1273])).
% 7.76/1.38 fof(f1299,plain,(
% 7.76/1.38 ![X0]: (~member(sk0_18,X0)|~spl0_32)),
% 7.76/1.38 inference(resolution,[status(thm)],[f1057,f54])).
% 7.76/1.38 fof(f1300,plain,(
% 7.76/1.38 $false|~spl0_32),
% 7.76/1.38 inference(forward_subsumption_resolution,[status(thm)],[f1299,f1057])).
% 7.76/1.38 fof(f1301,plain,(
% 7.76/1.38 ~spl0_32),
% 7.76/1.38 inference(contradiction_clause,[status(thm)],[f1300])).
% 7.76/1.38 fof(f1319,plain,(
% 7.76/1.38 ![X0,X1]: (member(sk0_19,union(X0,union(X1,sk0_18)))|~spl0_1)),
% 7.76/1.38 inference(resolution,[status(thm)],[f938,f49])).
% 7.76/1.38 fof(f1324,plain,(
% 7.76/1.38 ![X0,X1]: (max(sk0_19,X0,union(X1,sk0_18))|apply(X0,sk0_19,sk0_12(sk0_19,union(X1,sk0_18),X0))|~spl0_1)),
% 7.76/1.38 inference(resolution,[status(thm)],[f938,f139])).
% 7.76/1.38 fof(f1453,plain,(
% 7.76/1.38 ![X0,X1]: (member(sk0_19,X0)|member(sk0_19,difference(difference(sk0_18,X0),X1))|member(sk0_19,X1)|~spl0_1)),
% 7.76/1.38 inference(resolution,[status(thm)],[f1128,f55])).
% 7.76/1.38 fof(f1456,plain,(
% 7.76/1.38 ![X0]: (member(sk0_19,X0)|member(sk0_19,intersection(power_set(sk0_19),difference(sk0_18,X0)))|~spl0_1)),
% 7.76/1.38 inference(resolution,[status(thm)],[f1128,f528])).
% 7.76/1.38 fof(f1457,plain,(
% 7.76/1.38 ![X0]: (member(sk0_19,X0)|member(sk0_19,intersection(singleton(sk0_19),difference(sk0_18,X0)))|~spl0_1)),
% 7.76/1.38 inference(resolution,[status(thm)],[f1128,f401])).
% 7.76/1.38 fof(f1670,plain,(
% 7.76/1.38 spl0_38 <=> member(sk0_19,power_set(sk0_19))),
% 7.76/1.38 introduced(split_symbol_definition)).
% 7.76/1.38 fof(f1673,plain,(
% 7.76/1.38 ![X0]: (member(sk0_19,X0)|member(sk0_19,power_set(sk0_19))|~spl0_1)),
% 7.76/1.38 inference(resolution,[status(thm)],[f1456,f42])).
% 7.76/1.38 fof(f1674,plain,(
% 7.76/1.38 spl0_33|spl0_38|~spl0_1),
% 7.76/1.39 inference(split_clause,[status(thm)],[f1673,f1064,f1670,f198])).
% 7.76/1.39 fof(f1695,plain,(
% 7.76/1.39 ![X0]: (~member(sk0_19,X0)|~spl0_33)),
% 7.76/1.39 inference(resolution,[status(thm)],[f1065,f54])).
% 7.76/1.39 fof(f1696,plain,(
% 7.76/1.39 $false|~spl0_33),
% 7.76/1.39 inference(forward_subsumption_resolution,[status(thm)],[f1695,f1065])).
% 7.76/1.39 fof(f1697,plain,(
% 7.76/1.39 ~spl0_33),
% 7.76/1.39 inference(contradiction_clause,[status(thm)],[f1696])).
% 7.76/1.39 fof(f2037,plain,(
% 7.76/1.39 spl0_40 <=> member(sk0_19,singleton(sk0_19))),
% 7.76/1.39 introduced(split_symbol_definition)).
% 7.76/1.39 fof(f2040,plain,(
% 7.76/1.39 ![X0]: (member(sk0_19,X0)|member(sk0_19,singleton(sk0_19))|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f1457,f42])).
% 7.76/1.39 fof(f2041,plain,(
% 7.76/1.39 spl0_33|spl0_40|~spl0_1),
% 7.76/1.39 inference(split_clause,[status(thm)],[f2040,f1064,f2037,f198])).
% 7.76/1.39 fof(f2068,plain,(
% 7.76/1.39 spl0_41 <=> member(sk0_18,singleton(sk0_18))),
% 7.76/1.39 introduced(split_symbol_definition)).
% 7.76/1.39 fof(f2071,plain,(
% 7.76/1.39 ![X0]: (member(sk0_18,X0)|member(sk0_18,singleton(sk0_18)))),
% 7.76/1.39 inference(resolution,[status(thm)],[f1252,f42])).
% 7.76/1.39 fof(f2072,plain,(
% 7.76/1.39 spl0_32|spl0_41),
% 7.76/1.39 inference(split_clause,[status(thm)],[f2071,f1056,f2068])).
% 7.76/1.39 fof(f2112,plain,(
% 7.76/1.39 spl0_42 <=> member(sk0_19,union(sk0_18,X0))),
% 7.76/1.39 introduced(split_symbol_definition)).
% 7.76/1.39 fof(f2115,plain,(
% 7.76/1.39 ![X0,X1]: (member(sk0_19,union(sk0_18,X0))|member(sk0_19,X1)|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f851,f47])).
% 7.76/1.39 fof(f2116,plain,(
% 7.76/1.39 spl0_42|spl0_33|~spl0_1),
% 7.76/1.39 inference(split_clause,[status(thm)],[f2115,f2112,f1064,f198])).
% 7.76/1.39 fof(f2169,plain,(
% 7.76/1.39 spl0_43 <=> max(sk0_19,sk0_16,union(sk0_18,X0))|~member(sk0_12(sk0_19,union(sk0_18,X0),sk0_16),sk0_17)|~apply(sk0_16,sk0_12(sk0_19,union(sk0_18,X0),sk0_16),sk0_19)|sk0_19=sk0_12(sk0_19,union(sk0_18,X0),sk0_16)),
% 7.76/1.39 introduced(split_symbol_definition)).
% 7.76/1.39 fof(f2172,plain,(
% 7.76/1.39 ![X0]: (max(sk0_19,sk0_16,union(sk0_18,X0))|~member(sk0_19,sk0_17)|~member(sk0_12(sk0_19,union(sk0_18,X0),sk0_16),sk0_17)|~apply(sk0_16,sk0_12(sk0_19,union(sk0_18,X0),sk0_16),sk0_19)|sk0_19=sk0_12(sk0_19,union(sk0_18,X0),sk0_16)|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f855,f316])).
% 7.76/1.39 fof(f2173,plain,(
% 7.76/1.39 spl0_43|~spl0_3|~spl0_1),
% 7.76/1.39 inference(split_clause,[status(thm)],[f2172,f2169,f216,f198])).
% 7.76/1.39 fof(f2174,plain,(
% 7.76/1.39 spl0_44 <=> max(sk0_19,sk0_16,union(sk0_18,X0))|~member(sk0_12(sk0_19,union(sk0_18,X0),sk0_16),sk0_17)|~member(X1,sk0_17)|~apply(sk0_16,sk0_12(sk0_19,union(sk0_18,X0),sk0_16),X1)|apply(sk0_16,sk0_19,X1)),
% 7.76/1.39 introduced(split_symbol_definition)).
% 7.76/1.39 fof(f2177,plain,(
% 7.76/1.39 ![X0,X1]: (max(sk0_19,sk0_16,union(sk0_18,X0))|~member(sk0_19,sk0_17)|~member(sk0_12(sk0_19,union(sk0_18,X0),sk0_16),sk0_17)|~member(X1,sk0_17)|~apply(sk0_16,sk0_12(sk0_19,union(sk0_18,X0),sk0_16),X1)|apply(sk0_16,sk0_19,X1)|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f855,f214])).
% 7.76/1.39 fof(f2178,plain,(
% 7.76/1.39 spl0_44|~spl0_3|~spl0_1),
% 7.76/1.39 inference(split_clause,[status(thm)],[f2177,f2174,f216,f198])).
% 7.76/1.39 fof(f2216,plain,(
% 7.76/1.39 ![X0,X1]: (member(sk0_19,union(X0,union(X1,sk0_17)))|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f937,f49])).
% 7.76/1.39 fof(f2484,plain,(
% 7.76/1.39 spl0_45 <=> member(sk0_19,union(sk0_17,X0))),
% 7.76/1.39 introduced(split_symbol_definition)).
% 7.76/1.39 fof(f2487,plain,(
% 7.76/1.39 ![X0,X1]: (member(sk0_19,union(sk0_17,X0))|member(sk0_19,X1)|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f823,f47])).
% 7.76/1.39 fof(f2488,plain,(
% 7.76/1.39 spl0_45|spl0_33|~spl0_1),
% 7.76/1.39 inference(split_clause,[status(thm)],[f2487,f2484,f1064,f198])).
% 7.76/1.39 fof(f2648,plain,(
% 7.76/1.39 member(sk0_19,sum(power_set(sk0_18)))|~spl0_1),
% 7.76/1.39 inference(resolution,[status(thm)],[f1202,f199])).
% 7.76/1.39 fof(f2649,plain,(
% 7.76/1.39 member(sk0_19,sum(power_set(sk0_17)))|~spl0_1),
% 7.76/1.39 inference(resolution,[status(thm)],[f1202,f213])).
% 7.76/1.39 fof(f2720,plain,(
% 7.76/1.39 ![X0]: (member(sk0_19,difference(sum(power_set(sk0_18)),X0))|member(sk0_19,X0)|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f2648,f55])).
% 7.76/1.39 fof(f2761,plain,(
% 7.76/1.39 spl0_46 <=> member(sk0_19,sum(power_set(sk0_18)))),
% 7.76/1.39 introduced(split_symbol_definition)).
% 7.76/1.39 fof(f2764,plain,(
% 7.76/1.39 ![X0]: (member(sk0_19,X0)|member(sk0_19,sum(power_set(sk0_18)))|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f2720,f53])).
% 7.76/1.39 fof(f2765,plain,(
% 7.76/1.39 spl0_33|spl0_46|~spl0_1),
% 7.76/1.39 inference(split_clause,[status(thm)],[f2764,f1064,f2761,f198])).
% 7.76/1.39 fof(f2783,plain,(
% 7.76/1.39 ![X0]: (member(sk0_19,difference(sum(power_set(sk0_17)),X0))|member(sk0_19,X0)|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f2649,f55])).
% 7.76/1.39 fof(f2883,plain,(
% 7.76/1.39 ![X0,X1]: (lower_bound(X0,X1,sk0_18)|apply(sk0_16,sk0_19,sk0_9(X0,sk0_18,X1))|~spl0_0)),
% 7.76/1.39 inference(resolution,[status(thm)],[f114,f224])).
% 7.76/1.39 fof(f2915,plain,(
% 7.76/1.39 spl0_54 <=> member(sk0_19,sum(power_set(sk0_17)))),
% 7.76/1.39 introduced(split_symbol_definition)).
% 7.76/1.39 fof(f2918,plain,(
% 7.76/1.39 ![X0]: (member(sk0_19,X0)|member(sk0_19,sum(power_set(sk0_17)))|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f2783,f53])).
% 7.76/1.39 fof(f2919,plain,(
% 7.76/1.39 spl0_33|spl0_54|~spl0_1),
% 7.76/1.39 inference(split_clause,[status(thm)],[f2918,f1064,f2915,f198])).
% 7.76/1.39 fof(f2941,plain,(
% 7.76/1.39 spl0_57 <=> lower_bound(sk0_19,sk0_16,sk0_18)),
% 7.76/1.39 introduced(split_symbol_definition)).
% 7.76/1.39 fof(f2942,plain,(
% 7.76/1.39 lower_bound(sk0_19,sk0_16,sk0_18)|~spl0_57),
% 7.76/1.39 inference(component_clause,[status(thm)],[f2941])).
% 7.76/1.39 fof(f2944,plain,(
% 7.76/1.39 lower_bound(sk0_19,sk0_16,sk0_18)|lower_bound(sk0_19,sk0_16,sk0_18)|~spl0_0),
% 7.76/1.39 inference(resolution,[status(thm)],[f2883,f115])).
% 7.76/1.39 fof(f2945,plain,(
% 7.76/1.39 spl0_57|~spl0_0),
% 7.76/1.39 inference(split_clause,[status(thm)],[f2944,f2941,f195])).
% 7.76/1.39 fof(f2946,plain,(
% 7.76/1.39 spl0_58 <=> greatest_lower_bound(sk0_19,sk0_18,sk0_16,X0)|lower_bound(sk0_15(X0,sk0_16,sk0_18,sk0_19),sk0_16,sk0_18)),
% 7.76/1.39 introduced(split_symbol_definition)).
% 7.76/1.39 fof(f2947,plain,(
% 7.76/1.39 ![X0]: (greatest_lower_bound(sk0_19,sk0_18,sk0_16,X0)|lower_bound(sk0_15(X0,sk0_16,sk0_18,sk0_19),sk0_16,sk0_18)|~spl0_58)),
% 7.76/1.39 inference(component_clause,[status(thm)],[f2946])).
% 7.76/1.39 fof(f2949,plain,(
% 7.76/1.39 ![X0]: (greatest_lower_bound(sk0_19,sk0_18,sk0_16,X0)|~member(sk0_19,sk0_18)|lower_bound(sk0_15(X0,sk0_16,sk0_18,sk0_19),sk0_16,sk0_18)|~spl0_57)),
% 7.76/1.39 inference(resolution,[status(thm)],[f2942,f168])).
% 7.76/1.39 fof(f2950,plain,(
% 7.76/1.39 spl0_58|~spl0_1|~spl0_57),
% 7.76/1.39 inference(split_clause,[status(thm)],[f2949,f2946,f198,f2941])).
% 7.76/1.39 fof(f2954,plain,(
% 7.76/1.39 ![X0,X1]: (greatest_lower_bound(sk0_19,sk0_18,sk0_16,X0)|~member(X1,sk0_18)|apply(sk0_16,sk0_15(X0,sk0_16,sk0_18,sk0_19),X1)|~spl0_58)),
% 7.76/1.39 inference(resolution,[status(thm)],[f2947,f113])).
% 7.76/1.39 fof(f2957,plain,(
% 7.76/1.39 ![X0]: (greatest_lower_bound(sk0_19,sk0_18,sk0_16,X0)|apply(sk0_16,sk0_15(X0,sk0_16,sk0_18,sk0_19),sk0_19)|~spl0_58|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f2954,f199])).
% 7.76/1.39 fof(f2970,plain,(
% 7.76/1.39 spl0_61 <=> greatest_lower_bound(sk0_19,sk0_18,sk0_16,X0)|greatest_lower_bound(sk0_19,sk0_18,sk0_16,X0)),
% 7.76/1.39 introduced(split_symbol_definition)).
% 7.76/1.39 fof(f2971,plain,(
% 7.76/1.39 ![X0]: (greatest_lower_bound(sk0_19,sk0_18,sk0_16,X0)|greatest_lower_bound(sk0_19,sk0_18,sk0_16,X0)|~spl0_61)),
% 7.76/1.39 inference(component_clause,[status(thm)],[f2970])).
% 7.76/1.39 fof(f2973,plain,(
% 7.76/1.39 ![X0]: (greatest_lower_bound(sk0_19,sk0_18,sk0_16,X0)|greatest_lower_bound(sk0_19,sk0_18,sk0_16,X0)|~member(sk0_19,sk0_18)|~lower_bound(sk0_19,sk0_16,sk0_18)|~spl0_58|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f2957,f169])).
% 7.76/1.39 fof(f2974,plain,(
% 7.76/1.39 spl0_61|~spl0_1|~spl0_57|~spl0_58),
% 7.76/1.39 inference(split_clause,[status(thm)],[f2973,f2970,f198,f2941,f2946])).
% 7.76/1.39 fof(f2975,plain,(
% 7.76/1.39 ![X0]: (greatest_lower_bound(sk0_19,sk0_18,sk0_16,X0)|~spl0_61)),
% 7.76/1.39 inference(duplicate_literals_removal,[status(esa)],[f2971])).
% 7.76/1.39 fof(f2976,plain,(
% 7.76/1.39 $false|~spl0_61|spl0_2),
% 7.76/1.39 inference(backward_subsumption_resolution,[status(thm)],[f204,f2975])).
% 7.76/1.39 fof(f2977,plain,(
% 7.76/1.39 ~spl0_61|spl0_2),
% 7.76/1.39 inference(contradiction_clause,[status(thm)],[f2976])).
% 7.76/1.39 fof(f2978,plain,(
% 7.76/1.39 apply(sk0_16,sk0_19,sk0_19)|~spl0_1),
% 7.76/1.39 inference(resolution,[status(thm)],[f213,f259])).
% 7.76/1.39 fof(f2980,plain,(
% 7.76/1.39 spl0_57|~spl0_2),
% 7.76/1.39 inference(split_clause,[status(thm)],[f211,f2941,f202])).
% 7.76/1.39 fof(f2981,plain,(
% 7.76/1.39 ![X0]: (~member(X0,sk0_18)|apply(sk0_16,sk0_19,X0)|~spl0_57)),
% 7.76/1.39 inference(resolution,[status(thm)],[f2942,f113])).
% 7.76/1.39 fof(f2986,plain,(
% 7.76/1.39 ![X0]: (~member(sk0_19,sk0_17)|~member(sk0_19,sk0_17)|~member(X0,sk0_17)|~apply(sk0_16,sk0_19,X0)|apply(sk0_16,sk0_19,X0)|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f2978,f214])).
% 7.76/1.39 fof(f2987,plain,(
% 7.76/1.39 ~spl0_3|spl0_5|~spl0_1),
% 7.76/1.39 inference(split_clause,[status(thm)],[f2986,f216,f226,f198])).
% 7.76/1.39 fof(f3001,plain,(
% 7.76/1.39 spl0_62 <=> member(sk0_19,union(X1,sk0_18))),
% 7.76/1.39 introduced(split_symbol_definition)).
% 7.76/1.39 fof(f3004,plain,(
% 7.76/1.39 ![X0,X1]: (member(sk0_19,X0)|member(sk0_19,union(X1,sk0_18))|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f1319,f47])).
% 7.76/1.39 fof(f3005,plain,(
% 7.76/1.39 spl0_33|spl0_62|~spl0_1),
% 7.76/1.39 inference(split_clause,[status(thm)],[f3004,f1064,f3001,f198])).
% 7.76/1.39 fof(f3069,plain,(
% 7.76/1.39 spl0_63 <=> member(sk0_19,union(X1,sk0_17))),
% 7.76/1.39 introduced(split_symbol_definition)).
% 7.76/1.39 fof(f3072,plain,(
% 7.76/1.39 ![X0,X1]: (member(sk0_19,X0)|member(sk0_19,union(X1,sk0_17))|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f2216,f47])).
% 7.76/1.39 fof(f3073,plain,(
% 7.76/1.39 spl0_33|spl0_63|~spl0_1),
% 7.76/1.39 inference(split_clause,[status(thm)],[f3072,f1064,f3069,f198])).
% 7.76/1.39 fof(f3195,plain,(
% 7.76/1.39 spl0_64 <=> member(sk0_19,intersection(sk0_18,sk0_17))),
% 7.76/1.39 introduced(split_symbol_definition)).
% 7.76/1.39 fof(f3198,plain,(
% 7.76/1.39 ![X0]: (member(sk0_19,intersection(sk0_18,sk0_17))|member(sk0_19,X0)|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f724,f47])).
% 7.76/1.39 fof(f3199,plain,(
% 7.76/1.39 spl0_64|spl0_33|~spl0_1),
% 7.76/1.39 inference(split_clause,[status(thm)],[f3198,f3195,f1064,f198])).
% 7.76/1.39 fof(f3213,plain,(
% 7.76/1.39 spl0_65 <=> member(sk0_19,intersection(sk0_18,sk0_18))),
% 7.76/1.39 introduced(split_symbol_definition)).
% 7.76/1.39 fof(f3216,plain,(
% 7.76/1.39 ![X0]: (member(sk0_19,intersection(sk0_18,sk0_18))|member(sk0_19,X0)|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f728,f47])).
% 7.76/1.39 fof(f3217,plain,(
% 7.76/1.39 spl0_65|spl0_33|~spl0_1),
% 7.76/1.39 inference(split_clause,[status(thm)],[f3216,f3213,f1064,f198])).
% 7.76/1.39 fof(f3590,plain,(
% 7.76/1.39 member(sk0_19,intersection(sk0_17,sk0_18))|~spl0_1),
% 7.76/1.39 inference(resolution,[status(thm)],[f397,f199])).
% 7.76/1.39 fof(f3591,plain,(
% 7.76/1.39 member(sk0_19,intersection(sk0_17,sk0_17))|~spl0_1),
% 7.76/1.39 inference(resolution,[status(thm)],[f397,f213])).
% 7.76/1.39 fof(f3665,plain,(
% 7.76/1.39 ![X0]: (member(sk0_19,union(X0,intersection(sk0_17,sk0_18)))|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f3590,f49])).
% 7.76/1.39 fof(f3681,plain,(
% 7.76/1.39 ![X0]: (member(sk0_19,union(X0,intersection(sk0_17,sk0_17)))|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f3591,f49])).
% 7.76/1.39 fof(f3804,plain,(
% 7.76/1.39 spl0_66 <=> member(sk0_19,intersection(sk0_17,sk0_18))),
% 7.76/1.39 introduced(split_symbol_definition)).
% 7.76/1.39 fof(f3807,plain,(
% 7.76/1.39 ![X0]: (member(sk0_19,X0)|member(sk0_19,intersection(sk0_17,sk0_18))|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f3665,f47])).
% 7.76/1.39 fof(f3808,plain,(
% 7.76/1.39 spl0_33|spl0_66|~spl0_1),
% 7.76/1.39 inference(split_clause,[status(thm)],[f3807,f1064,f3804,f198])).
% 7.76/1.39 fof(f3955,plain,(
% 7.76/1.39 spl0_67 <=> max(sk0_19,sk0_16,union(X0,sk0_18))|~member(sk0_12(sk0_19,union(X0,sk0_18),sk0_16),sk0_17)|~apply(sk0_16,sk0_12(sk0_19,union(X0,sk0_18),sk0_16),sk0_19)|sk0_19=sk0_12(sk0_19,union(X0,sk0_18),sk0_16)),
% 7.76/1.39 introduced(split_symbol_definition)).
% 7.76/1.39 fof(f3958,plain,(
% 7.76/1.39 ![X0]: (max(sk0_19,sk0_16,union(X0,sk0_18))|~member(sk0_19,sk0_17)|~member(sk0_12(sk0_19,union(X0,sk0_18),sk0_16),sk0_17)|~apply(sk0_16,sk0_12(sk0_19,union(X0,sk0_18),sk0_16),sk0_19)|sk0_19=sk0_12(sk0_19,union(X0,sk0_18),sk0_16)|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f1324,f316])).
% 7.76/1.39 fof(f3959,plain,(
% 7.76/1.39 spl0_67|~spl0_3|~spl0_1),
% 7.76/1.39 inference(split_clause,[status(thm)],[f3958,f3955,f216,f198])).
% 7.76/1.39 fof(f3960,plain,(
% 7.76/1.39 spl0_68 <=> max(sk0_19,sk0_16,union(X0,sk0_18))|~member(sk0_12(sk0_19,union(X0,sk0_18),sk0_16),sk0_17)|~member(X1,sk0_17)|~apply(sk0_16,sk0_12(sk0_19,union(X0,sk0_18),sk0_16),X1)|apply(sk0_16,sk0_19,X1)),
% 7.76/1.39 introduced(split_symbol_definition)).
% 7.76/1.39 fof(f3963,plain,(
% 7.76/1.39 ![X0,X1]: (max(sk0_19,sk0_16,union(X0,sk0_18))|~member(sk0_19,sk0_17)|~member(sk0_12(sk0_19,union(X0,sk0_18),sk0_16),sk0_17)|~member(X1,sk0_17)|~apply(sk0_16,sk0_12(sk0_19,union(X0,sk0_18),sk0_16),X1)|apply(sk0_16,sk0_19,X1)|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f1324,f214])).
% 7.76/1.39 fof(f3964,plain,(
% 7.76/1.39 spl0_68|~spl0_3|~spl0_1),
% 7.76/1.39 inference(split_clause,[status(thm)],[f3963,f3960,f216,f198])).
% 7.76/1.39 fof(f3991,plain,(
% 7.76/1.39 spl0_69 <=> member(sk0_19,X1)|~member(sk0_19,X1)),
% 7.76/1.39 introduced(split_symbol_definition)).
% 7.76/1.39 fof(f3994,plain,(
% 7.76/1.39 ![X0,X1]: (member(sk0_19,X0)|member(sk0_19,X1)|~member(sk0_19,X1)|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f1453,f54])).
% 7.76/1.39 fof(f3995,plain,(
% 7.76/1.39 spl0_33|spl0_69|~spl0_1),
% 7.76/1.39 inference(split_clause,[status(thm)],[f3994,f1064,f3991,f198])).
% 7.76/1.39 fof(f3996,plain,(
% 7.76/1.39 spl0_70 <=> member(sk0_19,X0)|member(sk0_19,difference(sk0_18,X0))),
% 7.76/1.39 introduced(split_symbol_definition)).
% 7.76/1.39 fof(f3999,plain,(
% 7.76/1.39 ![X0,X1]: (member(sk0_19,X0)|member(sk0_19,X1)|member(sk0_19,difference(sk0_18,X0))|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f1453,f53])).
% 7.76/1.39 fof(f4000,plain,(
% 7.76/1.39 spl0_70|spl0_33|~spl0_1),
% 7.76/1.39 inference(split_clause,[status(thm)],[f3999,f3996,f1064,f198])).
% 7.76/1.39 fof(f4270,plain,(
% 7.76/1.39 member(sk0_19,sum(singleton(sk0_18)))|~spl0_1),
% 7.76/1.39 inference(resolution,[status(thm)],[f1209,f199])).
% 7.76/1.39 fof(f4271,plain,(
% 7.76/1.39 member(sk0_19,sum(singleton(sk0_17)))|~spl0_1),
% 7.76/1.39 inference(resolution,[status(thm)],[f1209,f213])).
% 7.76/1.39 fof(f4360,plain,(
% 7.76/1.39 ![X0]: (member(sk0_19,difference(sum(singleton(sk0_18)),X0))|member(sk0_19,X0)|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f4270,f55])).
% 7.76/1.39 fof(f4409,plain,(
% 7.76/1.39 spl0_71 <=> member(sk0_19,sum(singleton(sk0_18)))),
% 7.76/1.39 introduced(split_symbol_definition)).
% 7.76/1.39 fof(f4412,plain,(
% 7.76/1.39 ![X0]: (member(sk0_19,X0)|member(sk0_19,sum(singleton(sk0_18)))|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f4360,f53])).
% 7.76/1.39 fof(f4413,plain,(
% 7.76/1.39 spl0_33|spl0_71|~spl0_1),
% 7.76/1.39 inference(split_clause,[status(thm)],[f4412,f1064,f4409,f198])).
% 7.76/1.39 fof(f4435,plain,(
% 7.76/1.39 ![X0]: (member(sk0_19,difference(sum(singleton(sk0_17)),X0))|member(sk0_19,X0)|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f4271,f55])).
% 7.76/1.39 fof(f4484,plain,(
% 7.76/1.39 spl0_72 <=> member(sk0_19,sum(singleton(sk0_17)))),
% 7.76/1.39 introduced(split_symbol_definition)).
% 7.76/1.39 fof(f4487,plain,(
% 7.76/1.39 ![X0]: (member(sk0_19,X0)|member(sk0_19,sum(singleton(sk0_17)))|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f4435,f53])).
% 7.76/1.39 fof(f4488,plain,(
% 7.76/1.39 spl0_33|spl0_72|~spl0_1),
% 7.76/1.39 inference(split_clause,[status(thm)],[f4487,f1064,f4484,f198])).
% 7.76/1.39 fof(f5305,plain,(
% 7.76/1.39 ![X0]: (least(sk0_19,X0,sk0_18)|member(sk0_11(sk0_19,sk0_18,X0),sk0_18)|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f130,f199])).
% 7.76/1.39 fof(f6071,plain,(
% 7.76/1.39 spl0_76 <=> member(sk0_19,intersection(sk0_17,sk0_17))),
% 7.76/1.39 introduced(split_symbol_definition)).
% 7.76/1.39 fof(f6074,plain,(
% 7.76/1.39 ![X0]: (member(sk0_19,X0)|member(sk0_19,intersection(sk0_17,sk0_17))|~spl0_1)),
% 7.76/1.39 inference(resolution,[status(thm)],[f3681,f47])).
% 7.76/1.39 fof(f6075,plain,(
% 7.76/1.39 spl0_33|spl0_76|~spl0_1),
% 7.76/1.39 inference(split_clause,[status(thm)],[f6074,f1064,f6071,f198])).
% 7.76/1.39 fof(f6326,plain,(
% 7.76/1.39 ![X0]: (least(sk0_19,X0,sk0_18)|apply(sk0_16,sk0_19,sk0_11(sk0_19,sk0_18,X0))|~spl0_1|~spl0_57)),
% 7.76/1.39 inference(resolution,[status(thm)],[f5305,f2981])).
% 7.76/1.39 fof(f6376,plain,(
% 7.76/1.39 least(sk0_19,sk0_16,sk0_18)|least(sk0_19,sk0_16,sk0_18)|~member(sk0_19,sk0_18)|~spl0_1|~spl0_57),
% 7.76/1.39 inference(resolution,[status(thm)],[f6326,f131])).
% 7.76/1.39 fof(f6377,plain,(
% 7.76/1.39 spl0_0|~spl0_1|~spl0_57),
% 7.76/1.39 inference(split_clause,[status(thm)],[f6376,f195,f198,f2941])).
% 7.76/1.39 fof(f6378,plain,(
% 7.76/1.39 $false),
% 7.76/1.39 inference(sat_refutation,[status(thm)],[f201,f205,f206,f210,f232,f275,f1060,f1277,f1301,f1674,f1697,f2041,f2072,f2116,f2173,f2178,f2488,f2765,f2919,f2945,f2950,f2974,f2977,f2980,f2987,f3005,f3073,f3199,f3217,f3808,f3959,f3964,f3995,f4000,f4413,f4488,f6075,f6377])).
% 7.76/1.39 % SZS output end CNFRefutation for theBenchmark.p
% 7.98/1.41 % Elapsed time: 1.082087 seconds
% 7.98/1.41 % CPU time: 8.011719 seconds
% 7.98/1.41 % Memory used: 82.559 MB
%------------------------------------------------------------------------------