TSTP Solution File: SET801+4 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET801+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 12.80s 2.07s
% Output : CNFRefutation 12.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET801+4 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 10:48:59 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.35 % Drodi V3.5.1
% 12.80/2.07 % Refutation found
% 12.80/2.07 % SZS status Theorem for theBenchmark: Theorem is valid
% 12.80/2.07 % SZS output start CNFRefutation for theBenchmark
% 12.80/2.07 fof(f1,axiom,(
% 12.80/2.07 (! [A,B] :( subset(A,B)<=> (! [X] :( member(X,A)=> member(X,B) ) )) )),
% 12.80/2.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.80/2.07 fof(f3,axiom,(
% 12.80/2.07 (! [X,A] :( member(X,power_set(A))<=> subset(X,A) ) )),
% 12.80/2.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.80/2.07 fof(f4,axiom,(
% 12.80/2.07 (! [X,A,B] :( member(X,intersection(A,B))<=> ( member(X,A)& member(X,B) ) ) )),
% 12.80/2.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.80/2.07 fof(f5,axiom,(
% 12.80/2.07 (! [X,A,B] :( member(X,union(A,B))<=> ( member(X,A)| member(X,B) ) ) )),
% 12.80/2.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.80/2.07 fof(f7,axiom,(
% 12.80/2.07 (! [B,A,E] :( member(B,difference(E,A))<=> ( member(B,E)& ~ member(B,A) ) ) )),
% 12.80/2.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.80/2.07 fof(f8,axiom,(
% 12.80/2.07 (! [X,A] :( member(X,singleton(A))<=> X = A ) )),
% 12.80/2.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.80/2.07 fof(f10,axiom,(
% 12.80/2.08 (! [X,A] :( member(X,sum(A))<=> (? [Y] :( member(Y,A)& member(X,Y) ) )) )),
% 12.80/2.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.80/2.08 fof(f12,axiom,(
% 12.80/2.08 (! [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) ) ) )) ) )),
% 12.80/2.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.80/2.08 fof(f14,axiom,(
% 12.80/2.08 (! [R,E,M] :( upper_bound(M,R,E)<=> (! [X] :( member(X,E)=> apply(R,X,M) ) )) )),
% 12.80/2.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.80/2.08 fof(f16,axiom,(
% 12.80/2.08 (! [R,E,M] :( greatest(M,R,E)<=> ( member(M,E)& (! [X] :( member(X,E)=> apply(R,X,M) ) )) ) )),
% 12.80/2.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.80/2.08 fof(f18,axiom,(
% 12.80/2.08 (! [R,E,M] :( max(M,R,E)<=> ( member(M,E)& (! [X] :( ( member(X,E)& apply(R,M,X) )=> M = X ) )) ) )),
% 12.80/2.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.80/2.08 fof(f20,axiom,(
% 12.80/2.08 (! [A,X,R,E] :( least_upper_bound(A,X,R,E)<=> ( member(A,X)& upper_bound(A,R,X)& (! [M] :( ( member(M,E)& upper_bound(M,R,X) )=> apply(R,A,M) ) )) ) )),
% 12.80/2.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.80/2.08 fof(f22,conjecture,(
% 12.80/2.08 (! [R,E] :( order(R,E)=> (! [X] :( subset(X,E)=> (! [M] :( greatest(M,R,X)<=> ( member(M,X)& least_upper_bound(M,X,R,E) ) ) )) )) )),
% 12.80/2.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.80/2.08 fof(f23,negated_conjecture,(
% 12.80/2.08 ~((! [R,E] :( order(R,E)=> (! [X] :( subset(X,E)=> (! [M] :( greatest(M,R,X)<=> ( member(M,X)& least_upper_bound(M,X,R,E) ) ) )) )) ))),
% 12.80/2.08 inference(negated_conjecture,[status(cth)],[f22])).
% 12.80/2.08 fof(f24,plain,(
% 12.80/2.08 ![A,B]: (subset(A,B)<=>(![X]: (~member(X,A)|member(X,B))))),
% 12.80/2.08 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 12.80/2.08 fof(f25,plain,(
% 12.80/2.08 ![A,B]: ((~subset(A,B)|(![X]: (~member(X,A)|member(X,B))))&(subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 12.80/2.08 inference(NNF_transformation,[status(esa)],[f24])).
% 12.80/2.08 fof(f26,plain,(
% 12.80/2.08 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 12.80/2.08 inference(miniscoping,[status(esa)],[f25])).
% 12.80/2.08 fof(f27,plain,(
% 12.80/2.08 (![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))))),
% 12.80/2.08 inference(skolemization,[status(esa)],[f26])).
% 12.80/2.08 fof(f28,plain,(
% 12.80/2.08 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f27])).
% 12.80/2.08 fof(f29,plain,(
% 12.80/2.08 ![X0,X1]: (subset(X0,X1)|member(sk0_0(X1,X0),X0))),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f27])).
% 12.80/2.08 fof(f30,plain,(
% 12.80/2.08 ![X0,X1]: (subset(X0,X1)|~member(sk0_0(X1,X0),X1))),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f27])).
% 12.80/2.08 fof(f36,plain,(
% 12.80/2.08 ![X,A]: ((~member(X,power_set(A))|subset(X,A))&(member(X,power_set(A))|~subset(X,A)))),
% 12.80/2.08 inference(NNF_transformation,[status(esa)],[f3])).
% 12.80/2.08 fof(f37,plain,(
% 12.80/2.08 (![X,A]: (~member(X,power_set(A))|subset(X,A)))&(![X,A]: (member(X,power_set(A))|~subset(X,A)))),
% 12.80/2.08 inference(miniscoping,[status(esa)],[f36])).
% 12.80/2.08 fof(f39,plain,(
% 12.80/2.08 ![X0,X1]: (member(X0,power_set(X1))|~subset(X0,X1))),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f37])).
% 12.80/2.08 fof(f40,plain,(
% 12.80/2.08 ![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))))),
% 12.80/2.08 inference(NNF_transformation,[status(esa)],[f4])).
% 12.80/2.08 fof(f41,plain,(
% 12.80/2.08 (![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))))),
% 12.80/2.08 inference(miniscoping,[status(esa)],[f40])).
% 12.80/2.08 fof(f42,plain,(
% 12.80/2.08 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f41])).
% 12.80/2.08 fof(f44,plain,(
% 12.80/2.08 ![X0,X1,X2]: (member(X0,intersection(X1,X2))|~member(X0,X1)|~member(X0,X2))),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f41])).
% 12.80/2.08 fof(f45,plain,(
% 12.80/2.08 ![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))))),
% 12.80/2.08 inference(NNF_transformation,[status(esa)],[f5])).
% 12.80/2.08 fof(f46,plain,(
% 12.80/2.08 (![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))))),
% 12.80/2.08 inference(miniscoping,[status(esa)],[f45])).
% 12.80/2.08 fof(f47,plain,(
% 12.80/2.08 ![X0,X1,X2]: (~member(X0,union(X1,X2))|member(X0,X1)|member(X0,X2))),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f46])).
% 12.80/2.08 fof(f48,plain,(
% 12.80/2.08 ![X0,X1,X2]: (member(X0,union(X1,X2))|~member(X0,X1))),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f46])).
% 12.80/2.08 fof(f49,plain,(
% 12.80/2.08 ![X0,X1,X2]: (member(X0,union(X1,X2))|~member(X0,X2))),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f46])).
% 12.80/2.08 fof(f51,plain,(
% 12.80/2.08 ![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))))),
% 12.80/2.08 inference(NNF_transformation,[status(esa)],[f7])).
% 12.80/2.08 fof(f52,plain,(
% 12.80/2.08 (![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))))),
% 12.80/2.08 inference(miniscoping,[status(esa)],[f51])).
% 12.80/2.08 fof(f53,plain,(
% 12.80/2.08 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|member(X0,X1))),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f52])).
% 12.80/2.08 fof(f54,plain,(
% 12.80/2.08 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|~member(X0,X2))),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f52])).
% 12.80/2.08 fof(f55,plain,(
% 12.80/2.08 ![X0,X1,X2]: (member(X0,difference(X1,X2))|~member(X0,X1)|member(X0,X2))),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f52])).
% 12.80/2.08 fof(f56,plain,(
% 12.80/2.08 ![X,A]: ((~member(X,singleton(A))|X=A)&(member(X,singleton(A))|~X=A))),
% 12.80/2.08 inference(NNF_transformation,[status(esa)],[f8])).
% 12.80/2.08 fof(f57,plain,(
% 12.80/2.08 (![X,A]: (~member(X,singleton(A))|X=A))&(![X,A]: (member(X,singleton(A))|~X=A))),
% 12.80/2.08 inference(miniscoping,[status(esa)],[f56])).
% 12.80/2.08 fof(f59,plain,(
% 12.80/2.08 ![X0,X1]: (member(X0,singleton(X1))|~X0=X1)),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f57])).
% 12.80/2.08 fof(f65,plain,(
% 12.80/2.08 ![X,A]: ((~member(X,sum(A))|(?[Y]: (member(Y,A)&member(X,Y))))&(member(X,sum(A))|(![Y]: (~member(Y,A)|~member(X,Y)))))),
% 12.80/2.08 inference(NNF_transformation,[status(esa)],[f10])).
% 12.80/2.08 fof(f66,plain,(
% 12.80/2.08 (![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)))))),
% 12.80/2.08 inference(miniscoping,[status(esa)],[f65])).
% 12.80/2.08 fof(f67,plain,(
% 12.80/2.08 (![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)))))),
% 12.80/2.08 inference(skolemization,[status(esa)],[f66])).
% 12.80/2.08 fof(f70,plain,(
% 12.80/2.08 ![X0,X1,X2]: (member(X0,sum(X1))|~member(X2,X1)|~member(X0,X2))),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f67])).
% 12.80/2.08 fof(f78,plain,(
% 12.80/2.08 ![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))))))),
% 12.80/2.08 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 12.80/2.08 fof(f79,plain,(
% 12.80/2.08 ![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)))))),
% 12.80/2.08 introduced(predicate_definition,[f78])).
% 12.80/2.08 fof(f80,plain,(
% 12.80/2.08 ![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))))))),
% 12.80/2.08 inference(formula_renaming,[status(thm)],[f78,f79])).
% 12.80/2.08 fof(f81,plain,(
% 12.80/2.08 ![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)))))))),
% 12.80/2.08 inference(NNF_transformation,[status(esa)],[f80])).
% 12.80/2.08 fof(f82,plain,(
% 12.80/2.08 (![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)))))))),
% 12.80/2.08 inference(miniscoping,[status(esa)],[f81])).
% 12.80/2.08 fof(f83,plain,(
% 12.80/2.08 (![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)))))))),
% 12.80/2.08 inference(skolemization,[status(esa)],[f82])).
% 12.80/2.08 fof(f84,plain,(
% 12.80/2.08 ![X0,X1]: (~order(X0,X1)|pd0_0(X1,X0))),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f83])).
% 12.80/2.08 fof(f85,plain,(
% 12.80/2.08 ![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))),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f83])).
% 12.80/2.08 fof(f102,plain,(
% 12.80/2.08 ![R,E,M]: (upper_bound(M,R,E)<=>(![X]: (~member(X,E)|apply(R,X,M))))),
% 12.80/2.08 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 12.80/2.08 fof(f103,plain,(
% 12.80/2.08 ![R,E,M]: ((~upper_bound(M,R,E)|(![X]: (~member(X,E)|apply(R,X,M))))&(upper_bound(M,R,E)|(?[X]: (member(X,E)&~apply(R,X,M)))))),
% 12.80/2.08 inference(NNF_transformation,[status(esa)],[f102])).
% 12.80/2.08 fof(f104,plain,(
% 12.80/2.08 (![R,E,M]: (~upper_bound(M,R,E)|(![X]: (~member(X,E)|apply(R,X,M)))))&(![R,E,M]: (upper_bound(M,R,E)|(?[X]: (member(X,E)&~apply(R,X,M)))))),
% 12.80/2.08 inference(miniscoping,[status(esa)],[f103])).
% 12.80/2.08 fof(f105,plain,(
% 12.80/2.08 (![R,E,M]: (~upper_bound(M,R,E)|(![X]: (~member(X,E)|apply(R,X,M)))))&(![R,E,M]: (upper_bound(M,R,E)|(member(sk0_8(M,E,R),E)&~apply(R,sk0_8(M,E,R),M))))),
% 12.80/2.08 inference(skolemization,[status(esa)],[f104])).
% 12.80/2.08 fof(f106,plain,(
% 12.80/2.08 ![X0,X1,X2,X3]: (~upper_bound(X0,X1,X2)|~member(X3,X2)|apply(X1,X3,X0))),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f105])).
% 12.80/2.08 fof(f107,plain,(
% 12.80/2.08 ![X0,X1,X2]: (upper_bound(X0,X1,X2)|member(sk0_8(X0,X2,X1),X2))),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f105])).
% 12.80/2.08 fof(f108,plain,(
% 12.80/2.08 ![X0,X1,X2]: (upper_bound(X0,X1,X2)|~apply(X1,sk0_8(X0,X2,X1),X0))),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f105])).
% 12.80/2.08 fof(f116,plain,(
% 12.80/2.08 ![R,E,M]: (greatest(M,R,E)<=>(member(M,E)&(![X]: (~member(X,E)|apply(R,X,M)))))),
% 12.80/2.08 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 12.80/2.08 fof(f117,plain,(
% 12.80/2.08 ![R,E,M]: ((~greatest(M,R,E)|(member(M,E)&(![X]: (~member(X,E)|apply(R,X,M)))))&(greatest(M,R,E)|(~member(M,E)|(?[X]: (member(X,E)&~apply(R,X,M))))))),
% 12.80/2.08 inference(NNF_transformation,[status(esa)],[f116])).
% 12.80/2.08 fof(f118,plain,(
% 12.80/2.08 (![R,E,M]: (~greatest(M,R,E)|(member(M,E)&(![X]: (~member(X,E)|apply(R,X,M))))))&(![R,E,M]: (greatest(M,R,E)|(~member(M,E)|(?[X]: (member(X,E)&~apply(R,X,M))))))),
% 12.80/2.08 inference(miniscoping,[status(esa)],[f117])).
% 12.80/2.08 fof(f119,plain,(
% 12.80/2.08 (![R,E,M]: (~greatest(M,R,E)|(member(M,E)&(![X]: (~member(X,E)|apply(R,X,M))))))&(![R,E,M]: (greatest(M,R,E)|(~member(M,E)|(member(sk0_10(M,E,R),E)&~apply(R,sk0_10(M,E,R),M)))))),
% 12.80/2.08 inference(skolemization,[status(esa)],[f118])).
% 12.80/2.08 fof(f120,plain,(
% 12.80/2.08 ![X0,X1,X2]: (~greatest(X0,X1,X2)|member(X0,X2))),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f119])).
% 12.80/2.08 fof(f121,plain,(
% 12.80/2.08 ![X0,X1,X2,X3]: (~greatest(X0,X1,X2)|~member(X3,X2)|apply(X1,X3,X0))),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f119])).
% 12.80/2.08 fof(f122,plain,(
% 12.80/2.08 ![X0,X1,X2]: (greatest(X0,X1,X2)|~member(X0,X2)|member(sk0_10(X0,X2,X1),X2))),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f119])).
% 12.80/2.08 fof(f123,plain,(
% 12.80/2.08 ![X0,X1,X2]: (greatest(X0,X1,X2)|~member(X0,X2)|~apply(X1,sk0_10(X0,X2,X1),X0))),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f119])).
% 12.80/2.08 fof(f132,plain,(
% 12.80/2.08 ![R,E,M]: (max(M,R,E)<=>(member(M,E)&(![X]: ((~member(X,E)|~apply(R,M,X))|M=X))))),
% 12.80/2.08 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 12.80/2.08 fof(f133,plain,(
% 12.80/2.08 ![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)))))),
% 12.80/2.08 inference(NNF_transformation,[status(esa)],[f132])).
% 12.80/2.08 fof(f134,plain,(
% 12.80/2.08 (![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)))))),
% 12.80/2.08 inference(miniscoping,[status(esa)],[f133])).
% 12.80/2.08 fof(f135,plain,(
% 12.80/2.08 (![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)))))),
% 12.80/2.08 inference(skolemization,[status(esa)],[f134])).
% 12.80/2.08 fof(f139,plain,(
% 12.80/2.08 ![X0,X1,X2]: (max(X0,X1,X2)|~member(X0,X2)|apply(X1,X0,sk0_12(X0,X2,X1)))),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f135])).
% 12.80/2.08 fof(f150,plain,(
% 12.80/2.08 ![A,X,R,E]: (least_upper_bound(A,X,R,E)<=>((member(A,X)&upper_bound(A,R,X))&(![M]: ((~member(M,E)|~upper_bound(M,R,X))|apply(R,A,M)))))),
% 12.80/2.08 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 12.80/2.08 fof(f151,plain,(
% 12.80/2.08 ![A,X,R,E]: ((~least_upper_bound(A,X,R,E)|((member(A,X)&upper_bound(A,R,X))&(![M]: ((~member(M,E)|~upper_bound(M,R,X))|apply(R,A,M)))))&(least_upper_bound(A,X,R,E)|((~member(A,X)|~upper_bound(A,R,X))|(?[M]: ((member(M,E)&upper_bound(M,R,X))&~apply(R,A,M))))))),
% 12.80/2.08 inference(NNF_transformation,[status(esa)],[f150])).
% 12.80/2.08 fof(f152,plain,(
% 12.80/2.08 (![A,X,R,E]: (~least_upper_bound(A,X,R,E)|((member(A,X)&upper_bound(A,R,X))&(![M]: ((~member(M,E)|~upper_bound(M,R,X))|apply(R,A,M))))))&(![A,X,R,E]: (least_upper_bound(A,X,R,E)|((~member(A,X)|~upper_bound(A,R,X))|(?[M]: ((member(M,E)&upper_bound(M,R,X))&~apply(R,A,M))))))),
% 12.80/2.08 inference(miniscoping,[status(esa)],[f151])).
% 12.80/2.08 fof(f153,plain,(
% 12.80/2.08 (![A,X,R,E]: (~least_upper_bound(A,X,R,E)|((member(A,X)&upper_bound(A,R,X))&(![M]: ((~member(M,E)|~upper_bound(M,R,X))|apply(R,A,M))))))&(![A,X,R,E]: (least_upper_bound(A,X,R,E)|((~member(A,X)|~upper_bound(A,R,X))|((member(sk0_14(E,R,X,A),E)&upper_bound(sk0_14(E,R,X,A),R,X))&~apply(R,A,sk0_14(E,R,X,A))))))),
% 12.80/2.08 inference(skolemization,[status(esa)],[f152])).
% 12.80/2.08 fof(f155,plain,(
% 12.80/2.08 ![X0,X1,X2,X3]: (~least_upper_bound(X0,X1,X2,X3)|upper_bound(X0,X2,X1))),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f153])).
% 12.80/2.08 fof(f158,plain,(
% 12.80/2.08 ![X0,X1,X2,X3]: (least_upper_bound(X0,X1,X2,X3)|~member(X0,X1)|~upper_bound(X0,X2,X1)|upper_bound(sk0_14(X3,X2,X1,X0),X2,X1))),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f153])).
% 12.80/2.08 fof(f159,plain,(
% 12.80/2.08 ![X0,X1,X2,X3]: (least_upper_bound(X0,X1,X2,X3)|~member(X0,X1)|~upper_bound(X0,X2,X1)|~apply(X2,X0,sk0_14(X3,X2,X1,X0)))),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f153])).
% 12.80/2.08 fof(f170,plain,(
% 12.80/2.08 (?[R,E]: (order(R,E)&(?[X]: (subset(X,E)&(?[M]: (greatest(M,R,X)<~>(member(M,X)&least_upper_bound(M,X,R,E))))))))),
% 12.80/2.08 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 12.80/2.08 fof(f171,plain,(
% 12.80/2.08 ?[R,E]: (order(R,E)&(?[X]: (subset(X,E)&(?[M]: ((greatest(M,R,X)|(member(M,X)&least_upper_bound(M,X,R,E)))&(~greatest(M,R,X)|(~member(M,X)|~least_upper_bound(M,X,R,E))))))))),
% 12.80/2.08 inference(NNF_transformation,[status(esa)],[f170])).
% 12.80/2.08 fof(f172,plain,(
% 12.80/2.08 (order(sk0_16,sk0_17)&(subset(sk0_18,sk0_17)&((greatest(sk0_19,sk0_16,sk0_18)|(member(sk0_19,sk0_18)&least_upper_bound(sk0_19,sk0_18,sk0_16,sk0_17)))&(~greatest(sk0_19,sk0_16,sk0_18)|(~member(sk0_19,sk0_18)|~least_upper_bound(sk0_19,sk0_18,sk0_16,sk0_17))))))),
% 12.80/2.08 inference(skolemization,[status(esa)],[f171])).
% 12.80/2.08 fof(f173,plain,(
% 12.80/2.08 order(sk0_16,sk0_17)),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f172])).
% 12.80/2.08 fof(f174,plain,(
% 12.80/2.08 subset(sk0_18,sk0_17)),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f172])).
% 12.80/2.08 fof(f175,plain,(
% 12.80/2.08 greatest(sk0_19,sk0_16,sk0_18)|member(sk0_19,sk0_18)),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f172])).
% 12.80/2.08 fof(f176,plain,(
% 12.80/2.08 greatest(sk0_19,sk0_16,sk0_18)|least_upper_bound(sk0_19,sk0_18,sk0_16,sk0_17)),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f172])).
% 12.80/2.08 fof(f177,plain,(
% 12.80/2.08 ~greatest(sk0_19,sk0_16,sk0_18)|~member(sk0_19,sk0_18)|~least_upper_bound(sk0_19,sk0_18,sk0_16,sk0_17)),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f172])).
% 12.80/2.08 fof(f178,plain,(
% 12.80/2.08 ![R,E,X]: (pd0_1(X,E,R)<=>(~member(X,E)|apply(R,X,X)))),
% 12.80/2.08 introduced(predicate_definition,[f79])).
% 12.80/2.08 fof(f179,plain,(
% 12.80/2.08 ![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)))))),
% 12.80/2.08 inference(formula_renaming,[status(thm)],[f79,f178])).
% 12.80/2.08 fof(f180,plain,(
% 12.80/2.08 ![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))))))),
% 12.80/2.08 inference(NNF_transformation,[status(esa)],[f179])).
% 12.80/2.08 fof(f181,plain,(
% 12.80/2.08 (![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))))))),
% 12.80/2.08 inference(miniscoping,[status(esa)],[f180])).
% 12.80/2.08 fof(f182,plain,(
% 12.80/2.08 (![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))))))),
% 12.80/2.08 inference(skolemization,[status(esa)],[f181])).
% 12.80/2.08 fof(f183,plain,(
% 12.80/2.08 ![X0,X1,X2]: (~pd0_0(X0,X1)|pd0_1(X2,X0,X1))),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f182])).
% 12.80/2.08 fof(f184,plain,(
% 12.80/2.08 ![X0,X1,X2,X3]: (~pd0_0(X0,X1)|~member(X2,X0)|~member(X3,X0)|~apply(X1,X2,X3)|~apply(X1,X3,X2)|X2=X3)),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f182])).
% 12.80/2.08 fof(f190,plain,(
% 12.80/2.08 ![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))))),
% 12.80/2.08 inference(NNF_transformation,[status(esa)],[f178])).
% 12.80/2.08 fof(f191,plain,(
% 12.80/2.08 (![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))))),
% 12.80/2.08 inference(miniscoping,[status(esa)],[f190])).
% 12.80/2.08 fof(f192,plain,(
% 12.80/2.08 ![X0,X1,X2]: (~pd0_1(X0,X1,X2)|~member(X0,X1)|apply(X2,X0,X0))),
% 12.80/2.08 inference(cnf_transformation,[status(esa)],[f191])).
% 12.80/2.08 fof(f195,plain,(
% 12.80/2.08 spl0_0 <=> greatest(sk0_19,sk0_16,sk0_18)),
% 12.80/2.08 introduced(split_symbol_definition)).
% 12.80/2.08 fof(f196,plain,(
% 12.80/2.08 greatest(sk0_19,sk0_16,sk0_18)|~spl0_0),
% 12.80/2.08 inference(component_clause,[status(thm)],[f195])).
% 12.80/2.08 fof(f198,plain,(
% 12.80/2.08 spl0_1 <=> member(sk0_19,sk0_18)),
% 12.80/2.08 introduced(split_symbol_definition)).
% 12.80/2.08 fof(f199,plain,(
% 12.80/2.08 member(sk0_19,sk0_18)|~spl0_1),
% 12.80/2.08 inference(component_clause,[status(thm)],[f198])).
% 12.80/2.08 fof(f200,plain,(
% 12.80/2.08 ~member(sk0_19,sk0_18)|spl0_1),
% 12.80/2.08 inference(component_clause,[status(thm)],[f198])).
% 12.80/2.08 fof(f201,plain,(
% 12.80/2.08 spl0_0|spl0_1),
% 12.80/2.08 inference(split_clause,[status(thm)],[f175,f195,f198])).
% 12.80/2.08 fof(f202,plain,(
% 12.80/2.08 spl0_2 <=> least_upper_bound(sk0_19,sk0_18,sk0_16,sk0_17)),
% 12.80/2.08 introduced(split_symbol_definition)).
% 12.80/2.08 fof(f203,plain,(
% 12.80/2.08 least_upper_bound(sk0_19,sk0_18,sk0_16,sk0_17)|~spl0_2),
% 12.80/2.08 inference(component_clause,[status(thm)],[f202])).
% 12.80/2.08 fof(f204,plain,(
% 12.80/2.08 ~least_upper_bound(sk0_19,sk0_18,sk0_16,sk0_17)|spl0_2),
% 12.80/2.08 inference(component_clause,[status(thm)],[f202])).
% 12.80/2.08 fof(f205,plain,(
% 12.80/2.08 spl0_0|spl0_2),
% 12.80/2.08 inference(split_clause,[status(thm)],[f176,f195,f202])).
% 12.80/2.08 fof(f206,plain,(
% 12.80/2.08 ~spl0_0|~spl0_1|~spl0_2),
% 12.80/2.08 inference(split_clause,[status(thm)],[f177,f195,f198,f202])).
% 12.80/2.08 fof(f207,plain,(
% 12.80/2.08 pd0_0(sk0_17,sk0_16)),
% 12.80/2.08 inference(resolution,[status(thm)],[f84,f173])).
% 12.80/2.08 fof(f208,plain,(
% 12.80/2.08 member(sk0_19,sk0_18)|~spl0_0),
% 12.80/2.08 inference(resolution,[status(thm)],[f120,f196])).
% 12.80/2.08 fof(f209,plain,(
% 12.80/2.08 $false|spl0_1|~spl0_0),
% 12.80/2.08 inference(forward_subsumption_resolution,[status(thm)],[f208,f200])).
% 12.80/2.08 fof(f210,plain,(
% 12.80/2.08 spl0_1|~spl0_0),
% 12.80/2.08 inference(contradiction_clause,[status(thm)],[f209])).
% 12.80/2.08 fof(f211,plain,(
% 12.80/2.08 upper_bound(sk0_19,sk0_16,sk0_18)|~spl0_2),
% 12.80/2.08 inference(resolution,[status(thm)],[f155,f203])).
% 12.80/2.08 fof(f212,plain,(
% 12.80/2.08 ![X0]: (~member(X0,sk0_18)|member(X0,sk0_17))),
% 12.80/2.08 inference(resolution,[status(thm)],[f28,f174])).
% 12.80/2.08 fof(f213,plain,(
% 12.80/2.08 member(sk0_19,sk0_17)|~spl0_1),
% 12.80/2.08 inference(resolution,[status(thm)],[f212,f199])).
% 12.80/2.08 fof(f214,plain,(
% 12.80/2.08 ![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))),
% 12.80/2.08 inference(resolution,[status(thm)],[f85,f173])).
% 12.80/2.08 fof(f216,plain,(
% 12.80/2.08 spl0_3 <=> member(sk0_19,sk0_17)),
% 12.80/2.08 introduced(split_symbol_definition)).
% 12.80/2.08 fof(f218,plain,(
% 12.80/2.08 ~member(sk0_19,sk0_17)|spl0_3),
% 12.80/2.08 inference(component_clause,[status(thm)],[f216])).
% 12.80/2.08 fof(f224,plain,(
% 12.80/2.08 ![X0]: (~member(X0,sk0_18)|apply(sk0_16,X0,sk0_19)|~spl0_0)),
% 12.80/2.08 inference(resolution,[status(thm)],[f196,f121])).
% 12.80/2.08 fof(f226,plain,(
% 12.80/2.08 spl0_5 <=> ~member(X0,sk0_17)|~apply(sk0_16,sk0_19,X0)|apply(sk0_16,sk0_19,X0)),
% 12.80/2.08 introduced(split_symbol_definition)).
% 12.80/2.08 fof(f231,plain,(
% 12.80/2.08 $false|~spl0_1|spl0_3),
% 12.80/2.08 inference(forward_subsumption_resolution,[status(thm)],[f218,f213])).
% 12.80/2.08 fof(f232,plain,(
% 12.80/2.08 ~spl0_1|spl0_3),
% 12.80/2.08 inference(contradiction_clause,[status(thm)],[f231])).
% 12.80/2.08 fof(f233,plain,(
% 12.80/2.08 ![X0]: (member(X0,singleton(X0)))),
% 12.80/2.08 inference(equality_resolution,[status(esa)],[f59])).
% 12.80/2.08 fof(f237,plain,(
% 12.80/2.08 ![X0]: (subset(sk0_18,X0)|member(sk0_0(X0,sk0_18),sk0_17))),
% 12.80/2.08 inference(resolution,[status(thm)],[f29,f212])).
% 12.80/2.08 fof(f249,plain,(
% 12.80/2.08 ![X0]: (pd0_1(X0,sk0_17,sk0_16))),
% 12.80/2.08 inference(resolution,[status(thm)],[f183,f207])).
% 12.80/2.08 fof(f264,plain,(
% 12.80/2.08 ![X0]: (~member(X0,sk0_17)|apply(sk0_16,X0,X0))),
% 12.80/2.08 inference(resolution,[status(thm)],[f192,f249])).
% 12.80/2.08 fof(f275,plain,(
% 12.80/2.08 spl0_11 <=> subset(sk0_18,sk0_17)),
% 12.80/2.08 introduced(split_symbol_definition)).
% 12.80/2.08 fof(f278,plain,(
% 12.80/2.08 subset(sk0_18,sk0_17)|subset(sk0_18,sk0_17)),
% 12.80/2.08 inference(resolution,[status(thm)],[f30,f237])).
% 12.80/2.08 fof(f279,plain,(
% 12.80/2.08 spl0_11),
% 12.80/2.08 inference(split_clause,[status(thm)],[f278,f275])).
% 12.80/2.08 fof(f280,plain,(
% 12.80/2.08 ![X0]: (subset(X0,X0)|subset(X0,X0))),
% 12.80/2.08 inference(resolution,[status(thm)],[f30,f29])).
% 12.80/2.08 fof(f281,plain,(
% 12.80/2.08 ![X0]: (subset(X0,X0))),
% 12.80/2.08 inference(duplicate_literals_removal,[status(esa)],[f280])).
% 12.80/2.08 fof(f328,plain,(
% 12.80/2.08 ![X0,X1]: (~member(X0,sk0_17)|~member(X1,sk0_17)|~apply(sk0_16,X0,X1)|~apply(sk0_16,X1,X0)|X0=X1)),
% 12.80/2.08 inference(resolution,[status(thm)],[f184,f207])).
% 12.80/2.08 fof(f376,plain,(
% 12.80/2.08 member(sk0_18,power_set(sk0_17))),
% 12.80/2.08 inference(resolution,[status(thm)],[f39,f174])).
% 12.80/2.08 fof(f377,plain,(
% 12.80/2.08 ![X0]: (member(X0,power_set(X0)))),
% 12.80/2.08 inference(resolution,[status(thm)],[f39,f281])).
% 12.80/2.08 fof(f409,plain,(
% 12.80/2.08 ![X0]: (member(sk0_19,intersection(sk0_17,X0))|~member(sk0_19,X0)|~spl0_1)),
% 12.80/2.08 inference(resolution,[status(thm)],[f44,f213])).
% 12.80/2.08 fof(f410,plain,(
% 12.80/2.08 ![X0]: (member(sk0_19,intersection(sk0_18,X0))|~member(sk0_19,X0)|~spl0_1)),
% 12.80/2.08 inference(resolution,[status(thm)],[f44,f199])).
% 12.80/2.08 fof(f413,plain,(
% 12.80/2.08 ![X0,X1]: (member(X0,intersection(singleton(X0),X1))|~member(X0,X1))),
% 12.80/2.08 inference(resolution,[status(thm)],[f44,f233])).
% 12.80/2.08 fof(f414,plain,(
% 12.80/2.08 member(sk0_19,intersection(sk0_18,sk0_17))|~spl0_1),
% 12.80/2.08 inference(resolution,[status(thm)],[f410,f213])).
% 12.80/2.08 fof(f415,plain,(
% 12.80/2.08 member(sk0_19,intersection(sk0_18,sk0_18))|~spl0_1),
% 12.80/2.08 inference(resolution,[status(thm)],[f410,f199])).
% 12.80/2.08 fof(f548,plain,(
% 12.80/2.08 ![X0,X1]: (member(X0,intersection(power_set(X0),X1))|~member(X0,X1))),
% 12.80/2.08 inference(resolution,[status(thm)],[f377,f44])).
% 12.80/2.08 fof(f730,plain,(
% 12.80/2.08 ![X0]: (member(sk0_18,union(power_set(sk0_17),X0)))),
% 12.80/2.08 inference(resolution,[status(thm)],[f48,f376])).
% 12.80/2.08 fof(f745,plain,(
% 12.80/2.08 ![X0]: (member(sk0_19,union(intersection(sk0_18,sk0_17),X0))|~spl0_1)),
% 12.80/2.08 inference(resolution,[status(thm)],[f48,f414])).
% 12.80/2.08 fof(f750,plain,(
% 12.80/2.08 ![X0]: (member(sk0_19,union(intersection(sk0_18,sk0_18),X0))|~spl0_1)),
% 12.80/2.08 inference(resolution,[status(thm)],[f48,f415])).
% 12.80/2.08 fof(f751,plain,(
% 12.80/2.08 ![X0]: (member(sk0_19,union(sk0_17,X0))|~spl0_1)),
% 12.80/2.08 inference(resolution,[status(thm)],[f48,f213])).
% 12.80/2.08 fof(f752,plain,(
% 12.80/2.08 ![X0]: (member(sk0_19,union(sk0_18,X0))|~spl0_1)),
% 12.80/2.08 inference(resolution,[status(thm)],[f48,f199])).
% 12.80/2.08 fof(f845,plain,(
% 12.80/2.08 ![X0,X1]: (member(sk0_19,union(union(sk0_17,X0),X1))|~spl0_1)),
% 12.80/2.09 inference(resolution,[status(thm)],[f751,f48])).
% 12.80/2.09 fof(f873,plain,(
% 12.80/2.09 ![X0,X1]: (member(sk0_19,union(union(sk0_18,X0),X1))|~spl0_1)),
% 12.80/2.09 inference(resolution,[status(thm)],[f752,f48])).
% 12.80/2.09 fof(f877,plain,(
% 12.80/2.09 ![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)),
% 12.80/2.09 inference(resolution,[status(thm)],[f752,f139])).
% 12.80/2.09 fof(f960,plain,(
% 12.80/2.09 ![X0]: (member(sk0_19,union(X0,sk0_17))|~spl0_1)),
% 12.80/2.09 inference(resolution,[status(thm)],[f49,f213])).
% 12.80/2.09 fof(f961,plain,(
% 12.80/2.09 ![X0]: (member(sk0_19,union(X0,sk0_18))|~spl0_1)),
% 12.80/2.09 inference(resolution,[status(thm)],[f49,f199])).
% 12.80/2.09 fof(f1076,plain,(
% 12.80/2.09 spl0_34 <=> member(sk0_18,power_set(sk0_17))),
% 12.80/2.09 introduced(split_symbol_definition)).
% 12.80/2.09 fof(f1079,plain,(
% 12.80/2.09 spl0_35 <=> member(sk0_18,X0)),
% 12.80/2.09 introduced(split_symbol_definition)).
% 12.80/2.09 fof(f1080,plain,(
% 12.80/2.09 ![X0]: (member(sk0_18,X0)|~spl0_35)),
% 12.80/2.09 inference(component_clause,[status(thm)],[f1079])).
% 12.80/2.09 fof(f1082,plain,(
% 12.80/2.09 ![X0]: (member(sk0_18,power_set(sk0_17))|member(sk0_18,X0))),
% 12.80/2.09 inference(resolution,[status(thm)],[f47,f730])).
% 12.80/2.09 fof(f1083,plain,(
% 12.80/2.09 spl0_34|spl0_35),
% 12.80/2.09 inference(split_clause,[status(thm)],[f1082,f1076,f1079])).
% 12.80/2.09 fof(f1087,plain,(
% 12.80/2.09 spl0_36 <=> member(sk0_19,X0)),
% 12.80/2.09 introduced(split_symbol_definition)).
% 12.80/2.09 fof(f1088,plain,(
% 12.80/2.09 ![X0]: (member(sk0_19,X0)|~spl0_36)),
% 12.80/2.09 inference(component_clause,[status(thm)],[f1087])).
% 12.80/2.09 fof(f1124,plain,(
% 12.80/2.09 ![X0]: (member(sk0_18,difference(power_set(sk0_17),X0))|member(sk0_18,X0))),
% 12.80/2.09 inference(resolution,[status(thm)],[f55,f376])).
% 12.80/2.09 fof(f1152,plain,(
% 12.80/2.09 ![X0]: (member(sk0_19,difference(sk0_18,X0))|member(sk0_19,X0)|~spl0_1)),
% 12.80/2.09 inference(resolution,[status(thm)],[f55,f199])).
% 12.80/2.09 fof(f1227,plain,(
% 12.80/2.09 ![X0,X1]: (member(X0,sum(power_set(X1)))|~member(X0,X1))),
% 12.80/2.09 inference(resolution,[status(thm)],[f70,f377])).
% 12.80/2.09 fof(f1234,plain,(
% 12.80/2.09 ![X0,X1]: (member(X0,sum(singleton(X1)))|~member(X0,X1))),
% 12.80/2.09 inference(resolution,[status(thm)],[f70,f233])).
% 12.80/2.09 fof(f1276,plain,(
% 12.80/2.09 ![X0]: (member(sk0_18,X0)|member(sk0_18,intersection(power_set(sk0_18),difference(power_set(sk0_17),X0))))),
% 12.80/2.09 inference(resolution,[status(thm)],[f1124,f548])).
% 12.80/2.09 fof(f1277,plain,(
% 12.80/2.09 ![X0]: (member(sk0_18,X0)|member(sk0_18,intersection(singleton(sk0_18),difference(power_set(sk0_17),X0))))),
% 12.80/2.09 inference(resolution,[status(thm)],[f1124,f413])).
% 12.80/2.09 fof(f1298,plain,(
% 12.80/2.09 spl0_39 <=> member(sk0_18,power_set(sk0_18))),
% 12.80/2.09 introduced(split_symbol_definition)).
% 12.80/2.09 fof(f1301,plain,(
% 12.80/2.09 ![X0]: (member(sk0_18,X0)|member(sk0_18,power_set(sk0_18)))),
% 12.80/2.09 inference(resolution,[status(thm)],[f1276,f42])).
% 12.80/2.09 fof(f1302,plain,(
% 12.80/2.09 spl0_35|spl0_39),
% 12.80/2.09 inference(split_clause,[status(thm)],[f1301,f1079,f1298])).
% 12.80/2.09 fof(f1324,plain,(
% 12.80/2.09 ![X0]: (~member(sk0_18,X0)|~spl0_35)),
% 12.80/2.09 inference(resolution,[status(thm)],[f1080,f54])).
% 12.80/2.09 fof(f1325,plain,(
% 12.80/2.09 $false|~spl0_35),
% 12.80/2.09 inference(forward_subsumption_resolution,[status(thm)],[f1324,f1080])).
% 12.80/2.09 fof(f1326,plain,(
% 12.80/2.09 ~spl0_35),
% 12.80/2.09 inference(contradiction_clause,[status(thm)],[f1325])).
% 12.80/2.09 fof(f1344,plain,(
% 12.80/2.09 ![X0,X1]: (member(sk0_19,union(X0,union(X1,sk0_18)))|~spl0_1)),
% 12.80/2.09 inference(resolution,[status(thm)],[f961,f49])).
% 12.80/2.09 fof(f1349,plain,(
% 12.80/2.09 ![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)),
% 12.80/2.09 inference(resolution,[status(thm)],[f961,f139])).
% 12.80/2.09 fof(f1478,plain,(
% 12.80/2.09 ![X0,X1]: (member(sk0_19,X0)|member(sk0_19,difference(difference(sk0_18,X0),X1))|member(sk0_19,X1)|~spl0_1)),
% 12.80/2.09 inference(resolution,[status(thm)],[f1152,f55])).
% 12.80/2.09 fof(f1481,plain,(
% 12.80/2.09 ![X0]: (member(sk0_19,X0)|member(sk0_19,intersection(power_set(sk0_19),difference(sk0_18,X0)))|~spl0_1)),
% 12.80/2.09 inference(resolution,[status(thm)],[f1152,f548])).
% 12.80/2.09 fof(f1482,plain,(
% 12.80/2.09 ![X0]: (member(sk0_19,X0)|member(sk0_19,intersection(singleton(sk0_19),difference(sk0_18,X0)))|~spl0_1)),
% 12.80/2.09 inference(resolution,[status(thm)],[f1152,f413])).
% 12.80/2.09 fof(f1681,plain,(
% 12.80/2.09 spl0_41 <=> member(sk0_19,union(sk0_18,X0))),
% 12.80/2.09 introduced(split_symbol_definition)).
% 12.80/2.09 fof(f1684,plain,(
% 12.80/2.09 ![X0,X1]: (member(sk0_19,union(sk0_18,X0))|member(sk0_19,X1)|~spl0_1)),
% 12.80/2.09 inference(resolution,[status(thm)],[f873,f47])).
% 12.80/2.09 fof(f1685,plain,(
% 12.80/2.09 spl0_41|spl0_36|~spl0_1),
% 12.80/2.09 inference(split_clause,[status(thm)],[f1684,f1681,f1087,f198])).
% 12.80/2.09 fof(f1698,plain,(
% 12.80/2.09 spl0_42 <=> member(sk0_19,power_set(sk0_19))),
% 12.80/2.09 introduced(split_symbol_definition)).
% 12.80/2.09 fof(f1701,plain,(
% 12.80/2.09 ![X0]: (member(sk0_19,X0)|member(sk0_19,power_set(sk0_19))|~spl0_1)),
% 12.80/2.09 inference(resolution,[status(thm)],[f1481,f42])).
% 12.80/2.09 fof(f1702,plain,(
% 12.80/2.09 spl0_36|spl0_42|~spl0_1),
% 12.80/2.09 inference(split_clause,[status(thm)],[f1701,f1087,f1698,f198])).
% 12.80/2.09 fof(f1723,plain,(
% 12.80/2.09 ![X0]: (~member(sk0_19,X0)|~spl0_36)),
% 12.80/2.09 inference(resolution,[status(thm)],[f1088,f54])).
% 12.80/2.09 fof(f1724,plain,(
% 12.80/2.09 $false|~spl0_36),
% 12.80/2.09 inference(forward_subsumption_resolution,[status(thm)],[f1723,f1088])).
% 12.80/2.09 fof(f1725,plain,(
% 12.80/2.09 ~spl0_36),
% 12.80/2.09 inference(contradiction_clause,[status(thm)],[f1724])).
% 12.80/2.09 fof(f2065,plain,(
% 12.80/2.09 spl0_44 <=> member(sk0_19,singleton(sk0_19))),
% 12.80/2.09 introduced(split_symbol_definition)).
% 12.80/2.09 fof(f2068,plain,(
% 12.80/2.09 ![X0]: (member(sk0_19,X0)|member(sk0_19,singleton(sk0_19))|~spl0_1)),
% 12.80/2.09 inference(resolution,[status(thm)],[f1482,f42])).
% 12.80/2.09 fof(f2069,plain,(
% 12.80/2.09 spl0_36|spl0_44|~spl0_1),
% 12.80/2.09 inference(split_clause,[status(thm)],[f2068,f1087,f2065,f198])).
% 12.80/2.09 fof(f2096,plain,(
% 12.80/2.09 spl0_45 <=> member(sk0_18,singleton(sk0_18))),
% 12.80/2.09 introduced(split_symbol_definition)).
% 12.80/2.09 fof(f2099,plain,(
% 12.80/2.09 ![X0]: (member(sk0_18,X0)|member(sk0_18,singleton(sk0_18)))),
% 12.80/2.09 inference(resolution,[status(thm)],[f1277,f42])).
% 12.80/2.09 fof(f2100,plain,(
% 12.80/2.09 spl0_35|spl0_45),
% 12.80/2.09 inference(split_clause,[status(thm)],[f2099,f1079,f2096])).
% 12.80/2.09 fof(f2181,plain,(
% 12.80/2.09 spl0_46 <=> 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)),
% 12.80/2.09 introduced(split_symbol_definition)).
% 12.80/2.09 fof(f2184,plain,(
% 12.80/2.09 ![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)),
% 12.80/2.09 inference(resolution,[status(thm)],[f877,f328])).
% 12.80/2.09 fof(f2185,plain,(
% 12.80/2.09 spl0_46|~spl0_3|~spl0_1),
% 12.80/2.09 inference(split_clause,[status(thm)],[f2184,f2181,f216,f198])).
% 12.80/2.09 fof(f2186,plain,(
% 12.80/2.09 spl0_47 <=> 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)),
% 12.80/2.09 introduced(split_symbol_definition)).
% 12.80/2.09 fof(f2189,plain,(
% 12.80/2.09 ![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)),
% 12.80/2.09 inference(resolution,[status(thm)],[f877,f214])).
% 12.80/2.09 fof(f2190,plain,(
% 12.80/2.09 spl0_47|~spl0_3|~spl0_1),
% 12.80/2.09 inference(split_clause,[status(thm)],[f2189,f2186,f216,f198])).
% 12.80/2.09 fof(f2228,plain,(
% 12.80/2.09 ![X0,X1]: (member(sk0_19,union(X0,union(X1,sk0_17)))|~spl0_1)),
% 12.80/2.09 inference(resolution,[status(thm)],[f960,f49])).
% 12.80/2.09 fof(f2496,plain,(
% 12.80/2.09 spl0_48 <=> member(sk0_19,union(sk0_17,X0))),
% 12.80/2.09 introduced(split_symbol_definition)).
% 12.80/2.09 fof(f2499,plain,(
% 12.80/2.09 ![X0,X1]: (member(sk0_19,union(sk0_17,X0))|member(sk0_19,X1)|~spl0_1)),
% 12.80/2.09 inference(resolution,[status(thm)],[f845,f47])).
% 12.80/2.09 fof(f2500,plain,(
% 12.80/2.09 spl0_48|spl0_36|~spl0_1),
% 12.80/2.09 inference(split_clause,[status(thm)],[f2499,f2496,f1087,f198])).
% 12.80/2.09 fof(f2659,plain,(
% 12.80/2.09 member(sk0_19,sum(power_set(sk0_18)))|~spl0_1),
% 12.80/2.09 inference(resolution,[status(thm)],[f1227,f199])).
% 12.80/2.09 fof(f2660,plain,(
% 12.80/2.09 member(sk0_19,sum(power_set(sk0_17)))|~spl0_1),
% 12.80/2.09 inference(resolution,[status(thm)],[f1227,f213])).
% 12.80/2.09 fof(f2731,plain,(
% 12.80/2.09 ![X0]: (member(sk0_19,difference(sum(power_set(sk0_18)),X0))|member(sk0_19,X0)|~spl0_1)),
% 12.80/2.09 inference(resolution,[status(thm)],[f2659,f55])).
% 12.80/2.09 fof(f2772,plain,(
% 12.80/2.09 spl0_49 <=> member(sk0_19,sum(power_set(sk0_18)))),
% 12.80/2.09 introduced(split_symbol_definition)).
% 12.80/2.09 fof(f2775,plain,(
% 12.80/2.09 ![X0]: (member(sk0_19,X0)|member(sk0_19,sum(power_set(sk0_18)))|~spl0_1)),
% 12.80/2.09 inference(resolution,[status(thm)],[f2731,f53])).
% 12.80/2.09 fof(f2776,plain,(
% 12.80/2.09 spl0_36|spl0_49|~spl0_1),
% 12.80/2.09 inference(split_clause,[status(thm)],[f2775,f1087,f2772,f198])).
% 12.80/2.09 fof(f2794,plain,(
% 12.80/2.09 ![X0]: (member(sk0_19,difference(sum(power_set(sk0_17)),X0))|member(sk0_19,X0)|~spl0_1)),
% 12.80/2.09 inference(resolution,[status(thm)],[f2660,f55])).
% 12.80/2.09 fof(f2866,plain,(
% 12.80/2.09 ![X0,X1]: (upper_bound(X0,X1,sk0_18)|apply(sk0_16,sk0_8(X0,sk0_18,X1),sk0_19)|~spl0_0)),
% 12.80/2.09 inference(resolution,[status(thm)],[f107,f224])).
% 12.80/2.09 fof(f2926,plain,(
% 12.80/2.09 spl0_57 <=> member(sk0_19,sum(power_set(sk0_17)))),
% 12.80/2.09 introduced(split_symbol_definition)).
% 12.80/2.09 fof(f2929,plain,(
% 12.80/2.09 ![X0]: (member(sk0_19,X0)|member(sk0_19,sum(power_set(sk0_17)))|~spl0_1)),
% 12.80/2.09 inference(resolution,[status(thm)],[f2794,f53])).
% 12.80/2.09 fof(f2930,plain,(
% 12.80/2.09 spl0_36|spl0_57|~spl0_1),
% 12.80/2.09 inference(split_clause,[status(thm)],[f2929,f1087,f2926,f198])).
% 12.80/2.09 fof(f2952,plain,(
% 12.80/2.09 spl0_60 <=> upper_bound(sk0_19,sk0_16,sk0_18)),
% 12.80/2.09 introduced(split_symbol_definition)).
% 12.80/2.09 fof(f2953,plain,(
% 12.80/2.09 upper_bound(sk0_19,sk0_16,sk0_18)|~spl0_60),
% 12.80/2.09 inference(component_clause,[status(thm)],[f2952])).
% 12.80/2.09 fof(f2955,plain,(
% 12.80/2.09 upper_bound(sk0_19,sk0_16,sk0_18)|upper_bound(sk0_19,sk0_16,sk0_18)|~spl0_0),
% 12.80/2.09 inference(resolution,[status(thm)],[f2866,f108])).
% 12.80/2.09 fof(f2956,plain,(
% 12.80/2.09 spl0_60|~spl0_0),
% 12.80/2.09 inference(split_clause,[status(thm)],[f2955,f2952,f195])).
% 12.80/2.09 fof(f2957,plain,(
% 12.80/2.09 spl0_61 <=> least_upper_bound(sk0_19,sk0_18,sk0_16,X0)|upper_bound(sk0_14(X0,sk0_16,sk0_18,sk0_19),sk0_16,sk0_18)),
% 12.80/2.09 introduced(split_symbol_definition)).
% 12.80/2.09 fof(f2958,plain,(
% 12.80/2.09 ![X0]: (least_upper_bound(sk0_19,sk0_18,sk0_16,X0)|upper_bound(sk0_14(X0,sk0_16,sk0_18,sk0_19),sk0_16,sk0_18)|~spl0_61)),
% 12.80/2.09 inference(component_clause,[status(thm)],[f2957])).
% 12.80/2.09 fof(f2960,plain,(
% 12.80/2.09 ![X0]: (least_upper_bound(sk0_19,sk0_18,sk0_16,X0)|~member(sk0_19,sk0_18)|upper_bound(sk0_14(X0,sk0_16,sk0_18,sk0_19),sk0_16,sk0_18)|~spl0_60)),
% 12.80/2.09 inference(resolution,[status(thm)],[f2953,f158])).
% 12.80/2.09 fof(f2961,plain,(
% 12.80/2.09 spl0_61|~spl0_1|~spl0_60),
% 12.80/2.09 inference(split_clause,[status(thm)],[f2960,f2957,f198,f2952])).
% 12.80/2.09 fof(f2980,plain,(
% 12.80/2.09 ![X0,X1]: (least_upper_bound(sk0_19,sk0_18,sk0_16,X0)|~member(X1,sk0_18)|apply(sk0_16,X1,sk0_14(X0,sk0_16,sk0_18,sk0_19))|~spl0_61)),
% 12.80/2.09 inference(resolution,[status(thm)],[f2958,f106])).
% 12.80/2.09 fof(f2983,plain,(
% 12.80/2.09 ![X0]: (least_upper_bound(sk0_19,sk0_18,sk0_16,X0)|apply(sk0_16,sk0_19,sk0_14(X0,sk0_16,sk0_18,sk0_19))|~spl0_61|~spl0_1)),
% 12.80/2.09 inference(resolution,[status(thm)],[f2980,f199])).
% 12.80/2.09 fof(f2997,plain,(
% 12.80/2.09 spl0_64 <=> least_upper_bound(sk0_19,sk0_18,sk0_16,X0)|least_upper_bound(sk0_19,sk0_18,sk0_16,X0)),
% 12.80/2.09 introduced(split_symbol_definition)).
% 12.80/2.09 fof(f2998,plain,(
% 12.80/2.09 ![X0]: (least_upper_bound(sk0_19,sk0_18,sk0_16,X0)|least_upper_bound(sk0_19,sk0_18,sk0_16,X0)|~spl0_64)),
% 12.80/2.09 inference(component_clause,[status(thm)],[f2997])).
% 12.80/2.09 fof(f3000,plain,(
% 12.80/2.09 ![X0]: (least_upper_bound(sk0_19,sk0_18,sk0_16,X0)|least_upper_bound(sk0_19,sk0_18,sk0_16,X0)|~member(sk0_19,sk0_18)|~upper_bound(sk0_19,sk0_16,sk0_18)|~spl0_61|~spl0_1)),
% 12.80/2.09 inference(resolution,[status(thm)],[f2983,f159])).
% 12.80/2.09 fof(f3001,plain,(
% 12.80/2.09 spl0_64|~spl0_1|~spl0_60|~spl0_61),
% 12.80/2.09 inference(split_clause,[status(thm)],[f3000,f2997,f198,f2952,f2957])).
% 12.80/2.09 fof(f3002,plain,(
% 12.80/2.09 ![X0]: (least_upper_bound(sk0_19,sk0_18,sk0_16,X0)|~spl0_64)),
% 12.80/2.09 inference(duplicate_literals_removal,[status(esa)],[f2998])).
% 12.80/2.09 fof(f3003,plain,(
% 12.80/2.09 $false|~spl0_64|spl0_2),
% 12.80/2.09 inference(backward_subsumption_resolution,[status(thm)],[f204,f3002])).
% 12.80/2.09 fof(f3004,plain,(
% 12.80/2.09 ~spl0_64|spl0_2),
% 12.80/2.09 inference(contradiction_clause,[status(thm)],[f3003])).
% 12.80/2.09 fof(f3005,plain,(
% 12.80/2.09 apply(sk0_16,sk0_19,sk0_19)|~spl0_1),
% 12.80/2.09 inference(resolution,[status(thm)],[f213,f264])).
% 12.80/2.09 fof(f3007,plain,(
% 12.80/2.09 spl0_60|~spl0_2),
% 12.80/2.09 inference(split_clause,[status(thm)],[f211,f2952,f202])).
% 12.80/2.09 fof(f3008,plain,(
% 12.80/2.09 ![X0]: (~member(X0,sk0_18)|apply(sk0_16,X0,sk0_19)|~spl0_60)),
% 12.80/2.09 inference(resolution,[status(thm)],[f2953,f106])).
% 12.80/2.09 fof(f3013,plain,(
% 12.80/2.09 ![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)),
% 12.80/2.09 inference(resolution,[status(thm)],[f3005,f214])).
% 12.80/2.09 fof(f3014,plain,(
% 12.80/2.09 ~spl0_3|spl0_5|~spl0_1),
% 12.80/2.09 inference(split_clause,[status(thm)],[f3013,f216,f226,f198])).
% 12.80/2.09 fof(f3028,plain,(
% 12.80/2.09 spl0_65 <=> member(sk0_19,union(X1,sk0_18))),
% 12.80/2.09 introduced(split_symbol_definition)).
% 12.80/2.09 fof(f3031,plain,(
% 12.80/2.09 ![X0,X1]: (member(sk0_19,X0)|member(sk0_19,union(X1,sk0_18))|~spl0_1)),
% 12.80/2.09 inference(resolution,[status(thm)],[f1344,f47])).
% 12.80/2.09 fof(f3032,plain,(
% 12.80/2.09 spl0_36|spl0_65|~spl0_1),
% 12.80/2.09 inference(split_clause,[status(thm)],[f3031,f1087,f3028,f198])).
% 12.80/2.09 fof(f3100,plain,(
% 12.80/2.09 spl0_66 <=> member(sk0_19,union(X1,sk0_17))),
% 12.80/2.09 introduced(split_symbol_definition)).
% 12.80/2.09 fof(f3103,plain,(
% 12.80/2.09 ![X0,X1]: (member(sk0_19,X0)|member(sk0_19,union(X1,sk0_17))|~spl0_1)),
% 12.80/2.09 inference(resolution,[status(thm)],[f2228,f47])).
% 12.80/2.09 fof(f3104,plain,(
% 12.80/2.09 spl0_36|spl0_66|~spl0_1),
% 12.80/2.09 inference(split_clause,[status(thm)],[f3103,f1087,f3100,f198])).
% 12.80/2.09 fof(f3226,plain,(
% 12.80/2.09 spl0_67 <=> member(sk0_19,intersection(sk0_18,sk0_17))),
% 12.80/2.09 introduced(split_symbol_definition)).
% 12.80/2.09 fof(f3229,plain,(
% 12.80/2.09 ![X0]: (member(sk0_19,intersection(sk0_18,sk0_17))|member(sk0_19,X0)|~spl0_1)),
% 12.80/2.09 inference(resolution,[status(thm)],[f745,f47])).
% 12.80/2.09 fof(f3230,plain,(
% 12.80/2.09 spl0_67|spl0_36|~spl0_1),
% 12.80/2.09 inference(split_clause,[status(thm)],[f3229,f3226,f1087,f198])).
% 12.80/2.09 fof(f3244,plain,(
% 12.80/2.09 spl0_68 <=> member(sk0_19,intersection(sk0_18,sk0_18))),
% 12.80/2.09 introduced(split_symbol_definition)).
% 12.80/2.09 fof(f3247,plain,(
% 12.80/2.09 ![X0]: (member(sk0_19,intersection(sk0_18,sk0_18))|member(sk0_19,X0)|~spl0_1)),
% 12.80/2.09 inference(resolution,[status(thm)],[f750,f47])).
% 12.80/2.09 fof(f3248,plain,(
% 12.80/2.09 spl0_68|spl0_36|~spl0_1),
% 12.80/2.09 inference(split_clause,[status(thm)],[f3247,f3244,f1087,f198])).
% 12.80/2.09 fof(f3633,plain,(
% 12.80/2.09 member(sk0_19,intersection(sk0_17,sk0_18))|~spl0_1),
% 12.80/2.09 inference(resolution,[status(thm)],[f409,f199])).
% 12.80/2.09 fof(f3634,plain,(
% 12.80/2.09 member(sk0_19,intersection(sk0_17,sk0_17))|~spl0_1),
% 12.80/2.09 inference(resolution,[status(thm)],[f409,f213])).
% 12.80/2.09 fof(f3708,plain,(
% 12.80/2.09 ![X0]: (member(sk0_19,union(X0,intersection(sk0_17,sk0_18)))|~spl0_1)),
% 12.80/2.09 inference(resolution,[status(thm)],[f3633,f49])).
% 12.80/2.09 fof(f3724,plain,(
% 12.80/2.09 ![X0]: (member(sk0_19,union(X0,intersection(sk0_17,sk0_17)))|~spl0_1)),
% 12.80/2.09 inference(resolution,[status(thm)],[f3634,f49])).
% 12.80/2.09 fof(f3962,plain,(
% 12.80/2.09 spl0_69 <=> 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)),
% 12.80/2.09 introduced(split_symbol_definition)).
% 12.80/2.09 fof(f3965,plain,(
% 12.80/2.09 ![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)),
% 12.80/2.09 inference(resolution,[status(thm)],[f1349,f328])).
% 12.80/2.09 fof(f3966,plain,(
% 12.80/2.09 spl0_69|~spl0_3|~spl0_1),
% 12.80/2.09 inference(split_clause,[status(thm)],[f3965,f3962,f216,f198])).
% 12.80/2.09 fof(f3967,plain,(
% 12.80/2.09 spl0_70 <=> 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)),
% 12.80/2.09 introduced(split_symbol_definition)).
% 12.80/2.09 fof(f3970,plain,(
% 12.80/2.09 ![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)),
% 12.80/2.09 inference(resolution,[status(thm)],[f1349,f214])).
% 12.80/2.09 fof(f3971,plain,(
% 12.80/2.09 spl0_70|~spl0_3|~spl0_1),
% 12.80/2.09 inference(split_clause,[status(thm)],[f3970,f3967,f216,f198])).
% 12.80/2.09 fof(f3998,plain,(
% 12.80/2.09 spl0_71 <=> member(sk0_19,X1)|~member(sk0_19,X1)),
% 12.80/2.09 introduced(split_symbol_definition)).
% 12.80/2.09 fof(f4001,plain,(
% 12.80/2.09 ![X0,X1]: (member(sk0_19,X0)|member(sk0_19,X1)|~member(sk0_19,X1)|~spl0_1)),
% 12.80/2.09 inference(resolution,[status(thm)],[f1478,f54])).
% 12.80/2.09 fof(f4002,plain,(
% 12.80/2.09 spl0_36|spl0_71|~spl0_1),
% 12.80/2.09 inference(split_clause,[status(thm)],[f4001,f1087,f3998,f198])).
% 12.80/2.09 fof(f4003,plain,(
% 12.80/2.09 spl0_72 <=> member(sk0_19,X0)|member(sk0_19,difference(sk0_18,X0))),
% 12.80/2.09 introduced(split_symbol_definition)).
% 12.80/2.09 fof(f4006,plain,(
% 12.80/2.09 ![X0,X1]: (member(sk0_19,X0)|member(sk0_19,X1)|member(sk0_19,difference(sk0_18,X0))|~spl0_1)),
% 12.80/2.09 inference(resolution,[status(thm)],[f1478,f53])).
% 12.80/2.09 fof(f4007,plain,(
% 12.80/2.09 spl0_72|spl0_36|~spl0_1),
% 12.80/2.09 inference(split_clause,[status(thm)],[f4006,f4003,f1087,f198])).
% 12.80/2.10 fof(f4294,plain,(
% 12.80/2.10 member(sk0_19,sum(singleton(sk0_18)))|~spl0_1),
% 12.80/2.10 inference(resolution,[status(thm)],[f1234,f199])).
% 12.80/2.10 fof(f4295,plain,(
% 12.80/2.10 member(sk0_19,sum(singleton(sk0_17)))|~spl0_1),
% 12.80/2.10 inference(resolution,[status(thm)],[f1234,f213])).
% 12.80/2.10 fof(f4384,plain,(
% 12.80/2.10 ![X0]: (member(sk0_19,difference(sum(singleton(sk0_18)),X0))|member(sk0_19,X0)|~spl0_1)),
% 12.80/2.10 inference(resolution,[status(thm)],[f4294,f55])).
% 12.80/2.10 fof(f4433,plain,(
% 12.80/2.10 spl0_73 <=> member(sk0_19,sum(singleton(sk0_18)))),
% 12.80/2.10 introduced(split_symbol_definition)).
% 12.80/2.10 fof(f4436,plain,(
% 12.80/2.10 ![X0]: (member(sk0_19,X0)|member(sk0_19,sum(singleton(sk0_18)))|~spl0_1)),
% 12.80/2.10 inference(resolution,[status(thm)],[f4384,f53])).
% 12.80/2.10 fof(f4437,plain,(
% 12.80/2.10 spl0_36|spl0_73|~spl0_1),
% 12.80/2.10 inference(split_clause,[status(thm)],[f4436,f1087,f4433,f198])).
% 12.80/2.10 fof(f4459,plain,(
% 12.80/2.10 ![X0]: (member(sk0_19,difference(sum(singleton(sk0_17)),X0))|member(sk0_19,X0)|~spl0_1)),
% 12.80/2.10 inference(resolution,[status(thm)],[f4295,f55])).
% 12.80/2.10 fof(f4508,plain,(
% 12.80/2.10 spl0_74 <=> member(sk0_19,sum(singleton(sk0_17)))),
% 12.80/2.10 introduced(split_symbol_definition)).
% 12.80/2.10 fof(f4511,plain,(
% 12.80/2.10 ![X0]: (member(sk0_19,X0)|member(sk0_19,sum(singleton(sk0_17)))|~spl0_1)),
% 12.80/2.10 inference(resolution,[status(thm)],[f4459,f53])).
% 12.80/2.10 fof(f4512,plain,(
% 12.80/2.10 spl0_36|spl0_74|~spl0_1),
% 12.80/2.10 inference(split_clause,[status(thm)],[f4511,f1087,f4508,f198])).
% 12.80/2.10 fof(f5124,plain,(
% 12.80/2.10 ![X0]: (greatest(sk0_19,X0,sk0_18)|member(sk0_10(sk0_19,sk0_18,X0),sk0_18)|~spl0_1)),
% 12.80/2.10 inference(resolution,[status(thm)],[f122,f199])).
% 12.80/2.10 fof(f6072,plain,(
% 12.80/2.10 spl0_78 <=> member(sk0_19,intersection(sk0_17,sk0_18))),
% 12.80/2.10 introduced(split_symbol_definition)).
% 12.80/2.10 fof(f6075,plain,(
% 12.80/2.10 ![X0]: (member(sk0_19,X0)|member(sk0_19,intersection(sk0_17,sk0_18))|~spl0_1)),
% 12.80/2.10 inference(resolution,[status(thm)],[f3708,f47])).
% 12.80/2.10 fof(f6076,plain,(
% 12.80/2.10 spl0_36|spl0_78|~spl0_1),
% 12.80/2.10 inference(split_clause,[status(thm)],[f6075,f1087,f6072,f198])).
% 12.80/2.10 fof(f6121,plain,(
% 12.80/2.10 spl0_79 <=> member(sk0_19,intersection(sk0_17,sk0_17))),
% 12.80/2.10 introduced(split_symbol_definition)).
% 12.80/2.10 fof(f6124,plain,(
% 12.80/2.10 ![X0]: (member(sk0_19,X0)|member(sk0_19,intersection(sk0_17,sk0_17))|~spl0_1)),
% 12.80/2.10 inference(resolution,[status(thm)],[f3724,f47])).
% 12.80/2.10 fof(f6125,plain,(
% 12.80/2.10 spl0_36|spl0_79|~spl0_1),
% 12.80/2.10 inference(split_clause,[status(thm)],[f6124,f1087,f6121,f198])).
% 12.80/2.10 fof(f6189,plain,(
% 12.80/2.10 ![X0]: (greatest(sk0_19,X0,sk0_18)|apply(sk0_16,sk0_10(sk0_19,sk0_18,X0),sk0_19)|~spl0_1|~spl0_60)),
% 12.80/2.10 inference(resolution,[status(thm)],[f5124,f3008])).
% 12.80/2.10 fof(f6219,plain,(
% 12.80/2.10 greatest(sk0_19,sk0_16,sk0_18)|greatest(sk0_19,sk0_16,sk0_18)|~member(sk0_19,sk0_18)|~spl0_1|~spl0_60),
% 12.80/2.10 inference(resolution,[status(thm)],[f6189,f123])).
% 12.80/2.10 fof(f6220,plain,(
% 12.80/2.10 spl0_0|~spl0_1|~spl0_60),
% 12.80/2.10 inference(split_clause,[status(thm)],[f6219,f195,f198,f2952])).
% 12.80/2.10 fof(f6221,plain,(
% 12.80/2.10 $false),
% 12.80/2.10 inference(sat_refutation,[status(thm)],[f201,f205,f206,f210,f232,f279,f1083,f1302,f1326,f1685,f1702,f1725,f2069,f2100,f2185,f2190,f2500,f2776,f2930,f2956,f2961,f3001,f3004,f3007,f3014,f3032,f3104,f3230,f3248,f3966,f3971,f4002,f4007,f4437,f4512,f6076,f6125,f6220])).
% 12.80/2.10 % SZS output end CNFRefutation for theBenchmark.p
% 12.80/2.12 % Elapsed time: 1.758812 seconds
% 12.80/2.12 % CPU time: 13.009867 seconds
% 12.80/2.12 % Memory used: 96.423 MB
%------------------------------------------------------------------------------