TSTP Solution File: SEU299+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU299+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 12:36:37 EDT 2023
% Result : Theorem 20.61s 2.93s
% Output : CNFRefutation 21.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : SEU299+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Tue May 30 09:18:31 EDT 2023
% 0.07/0.27 % CPUTime :
% 0.07/0.27 % Drodi V3.5.1
% 20.61/2.93 % Refutation found
% 20.61/2.93 % SZS status Theorem for theBenchmark: Theorem is valid
% 20.61/2.93 % SZS output start CNFRefutation for theBenchmark
% 20.61/2.93 fof(f1,conjecture,(
% 20.61/2.93 (! [A] :( ordinal(A)=> (? [B] :(! [C] :( in(C,B)<=> ( in(C,succ(A))& (? [D] :( ordinal(D)& C = D& ( in(D,omega)=> (! [E] :( element(E,powerset(powerset(D)))=> ~ ( E != empty_set& (! [F] :~ ( in(F,E)& (! [G] :( ( in(G,E)& subset(F,G) )=> G = F ) )) )) ) )) ) )) ) ))) )),
% 20.61/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.61/2.93 fof(f2,negated_conjecture,(
% 20.61/2.93 ~((! [A] :( ordinal(A)=> (? [B] :(! [C] :( in(C,B)<=> ( in(C,succ(A))& (? [D] :( ordinal(D)& C = D& ( in(D,omega)=> (! [E] :( element(E,powerset(powerset(D)))=> ~ ( E != empty_set& (! [F] :~ ( in(F,E)& (! [G] :( ( in(G,E)& subset(F,G) )=> G = F ) )) )) ) )) ) )) ) ))) ))),
% 20.61/2.93 inference(negated_conjecture,[status(cth)],[f1])).
% 20.61/2.93 fof(f4,axiom,(
% 20.61/2.93 (! [A] :(? [B] :( element(B,powerset(A))& empty(B)& relation(B)& function(B)& one_to_one(B)& epsilon_transitive(B)& epsilon_connected(B)& ordinal(B)& natural(B)& finite(B) ) ))),
% 20.61/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.61/2.93 fof(f5,axiom,(
% 20.61/2.93 (! [A] :( ~ empty(A)=> (? [B] :( element(B,powerset(A))& ~ empty(B)& finite(B) ) )) )),
% 20.61/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.61/2.93 fof(f6,axiom,(
% 20.61/2.93 (! [A] :( finite(A)=> (! [B] :( element(B,powerset(A))=> finite(B) ) )) )),
% 20.61/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.61/2.93 fof(f10,axiom,(
% 20.61/2.93 (? [A] :( relation(A)& empty(A)& function(A) ) )),
% 20.61/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.61/2.93 fof(f14,axiom,(
% 20.61/2.93 (? [A] :( empty(A)& relation(A) ) )),
% 20.61/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.61/2.93 fof(f19,axiom,(
% 20.61/2.93 (? [A] :( ~ empty(A)& epsilon_transitive(A)& epsilon_connected(A)& ordinal(A)& natural(A) ) )),
% 20.61/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.61/2.93 fof(f21,axiom,(
% 20.61/2.93 (! [A] :( ( epsilon_transitive(A)& epsilon_connected(A) )=> ordinal(A) ) )),
% 20.61/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.61/2.93 fof(f22,axiom,(
% 20.61/2.93 (? [A] :( epsilon_transitive(A)& epsilon_connected(A)& ordinal(A) ) )),
% 20.61/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.61/2.93 fof(f23,axiom,(
% 20.61/2.93 (? [A] :( relation(A)& function(A)& one_to_one(A)& empty(A)& epsilon_transitive(A)& epsilon_connected(A)& ordinal(A) ) )),
% 20.61/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.61/2.93 fof(f24,axiom,(
% 20.61/2.93 (! [A] :( empty(A)=> ( epsilon_transitive(A)& epsilon_connected(A)& ordinal(A) ) ) )),
% 20.61/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.61/2.93 fof(f25,axiom,(
% 20.61/2.93 (? [A] :( ~ empty(A)& epsilon_transitive(A)& epsilon_connected(A)& ordinal(A) ) )),
% 20.61/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.61/2.93 fof(f26,axiom,(
% 20.61/2.93 (! [A] :( ~ empty(A)=> (? [B] :( element(B,powerset(A))& ~ empty(B) ) )) )),
% 20.61/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.61/2.93 fof(f27,axiom,(
% 20.61/2.93 (! [A] :(? [B] :( element(B,powerset(A))& empty(B) ) ))),
% 20.61/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.61/2.93 fof(f28,axiom,(
% 20.61/2.93 (? [A] : empty(A) )),
% 20.61/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.61/2.93 fof(f31,axiom,(
% 20.61/2.93 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 20.61/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.61/2.93 fof(f37,axiom,(
% 20.61/2.93 ( epsilon_transitive(omega)& epsilon_connected(omega)& ordinal(omega)& ~ empty(omega) ) ),
% 20.61/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.61/2.93 fof(f40,axiom,(
% 20.61/2.93 (! [A] :( ordinal(A)=> (! [B] :( element(B,A)=> ( epsilon_transitive(B)& epsilon_connected(B)& ordinal(B) ) ) )) )),
% 20.61/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.61/2.93 fof(f43,axiom,(
% 20.61/2.93 (! [A] :( ordinal(A)=> ( epsilon_transitive(A)& epsilon_connected(A) ) ) )),
% 20.61/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.61/2.93 fof(f44,axiom,(
% 20.61/2.93 ( relation(empty_set)& relation_empty_yielding(empty_set)& function(empty_set)& one_to_one(empty_set)& empty(empty_set)& epsilon_transitive(empty_set)& epsilon_connected(empty_set)& ordinal(empty_set) ) ),
% 20.61/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.61/2.93 fof(f46,axiom,(
% 20.61/2.93 (! [A] : ~ empty(powerset(A)) )),
% 20.61/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.08/2.95 fof(f48,axiom,(
% 21.08/2.95 (! [A] :( ordinal(A)=> ( (! [B,C,D] :( ( B = C& (? [E] :( ordinal(E)& C = E& ( in(E,omega)=> (! [F] :( element(F,powerset(powerset(E)))=> ~ ( F != empty_set& (! [G] :~ ( in(G,F)& (! [H] :( ( in(H,F)& subset(G,H) )=> H = G ) )) )) ) )) ))& B = D& (? [I] :( ordinal(I)& D = I& ( in(I,omega)=> (! [J] :( element(J,powerset(powerset(I)))=> ~ ( J != empty_set& (! [K] :~ ( in(K,J)& (! [L] :( ( in(L,J)& subset(K,L) )=> L = K ) )) )) ) )) ) ))=> C = D ))=> (? [B] :(! [C] :( in(C,B)<=> (? [D] :( in(D,succ(A))& D = C& (? [M] :( ordinal(M)& C = M& ( in(M,omega)=> (! [N] :( element(N,powerset(powerset(M)))=> ~ ( N != empty_set& (! [O] :~ ( in(O,N)& (! [P] :( ( in(P,N)& subset(O,P) )=> P = O ) )) )) ) )) ) )) )) ))) ) )),
% 21.08/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 21.08/2.95 fof(f49,plain,(
% 21.08/2.95 (?[A]: (ordinal(A)&(![B]: ?[C]: (in(C,B)<~>(in(C,succ(A))&(?[D]: ((ordinal(D)&C=D)&(~in(D,omega)|(![E]: (~element(E,powerset(powerset(D)))|(E=empty_set|(?[F]: (in(F,E)&(![G]: ((~in(G,E)|~subset(F,G))|G=F)))))))))))))))),
% 21.08/2.95 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 21.08/2.95 fof(f50,plain,(
% 21.08/2.95 ?[A]: (ordinal(A)&(![B]: ?[C]: ((in(C,B)|(in(C,succ(A))&(?[D]: ((ordinal(D)&C=D)&(~in(D,omega)|(![E]: (~element(E,powerset(powerset(D)))|(E=empty_set|(?[F]: (in(F,E)&(![G]: ((~in(G,E)|~subset(F,G))|G=F))))))))))))&(~in(C,B)|(~in(C,succ(A))|(![D]: ((~ordinal(D)|~C=D)|(in(D,omega)&(?[E]: (element(E,powerset(powerset(D)))&(~E=empty_set&(![F]: (~in(F,E)|(?[G]: ((in(G,E)&subset(F,G))&~G=F)))))))))))))))),
% 21.08/2.95 inference(NNF_transformation,[status(esa)],[f49])).
% 21.08/2.95 fof(f51,plain,(
% 21.08/2.95 (ordinal(sk0_0)&(![B]: ((in(sk0_1(B),B)|(in(sk0_1(B),succ(sk0_0))&((ordinal(sk0_2(B))&sk0_1(B)=sk0_2(B))&(~in(sk0_2(B),omega)|(![E]: (~element(E,powerset(powerset(sk0_2(B))))|(E=empty_set|(in(sk0_3(E,B),E)&(![G]: ((~in(G,E)|~subset(sk0_3(E,B),G))|G=sk0_3(E,B)))))))))))&(~in(sk0_1(B),B)|(~in(sk0_1(B),succ(sk0_0))|(![D]: ((~ordinal(D)|~sk0_1(B)=D)|(in(D,omega)&(element(sk0_4(D,B),powerset(powerset(D)))&(~sk0_4(D,B)=empty_set&(![F]: (~in(F,sk0_4(D,B))|((in(sk0_5(F,D,B),sk0_4(D,B))&subset(F,sk0_5(F,D,B)))&~sk0_5(F,D,B)=F)))))))))))))),
% 21.08/2.95 inference(skolemization,[status(esa)],[f50])).
% 21.08/2.95 fof(f52,plain,(
% 21.08/2.95 ordinal(sk0_0)),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f51])).
% 21.08/2.95 fof(f53,plain,(
% 21.08/2.95 ![X0]: (in(sk0_1(X0),X0)|in(sk0_1(X0),succ(sk0_0)))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f51])).
% 21.08/2.95 fof(f54,plain,(
% 21.08/2.95 ![X0]: (in(sk0_1(X0),X0)|ordinal(sk0_2(X0)))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f51])).
% 21.08/2.95 fof(f55,plain,(
% 21.08/2.95 ![X0]: (in(sk0_1(X0),X0)|sk0_1(X0)=sk0_2(X0))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f51])).
% 21.08/2.95 fof(f56,plain,(
% 21.08/2.95 ![X0,X1]: (in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|~element(X1,powerset(powerset(sk0_2(X0))))|X1=empty_set|in(sk0_3(X1,X0),X1))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f51])).
% 21.08/2.95 fof(f57,plain,(
% 21.08/2.95 ![X0,X1,X2]: (in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|~element(X1,powerset(powerset(sk0_2(X0))))|X1=empty_set|~in(X2,X1)|~subset(sk0_3(X1,X0),X2)|X2=sk0_3(X1,X0))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f51])).
% 21.08/2.95 fof(f58,plain,(
% 21.08/2.95 ![X0,X1]: (~in(sk0_1(X0),X0)|~in(sk0_1(X0),succ(sk0_0))|~ordinal(X1)|~sk0_1(X0)=X1|in(X1,omega))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f51])).
% 21.08/2.95 fof(f59,plain,(
% 21.08/2.95 ![X0,X1]: (~in(sk0_1(X0),X0)|~in(sk0_1(X0),succ(sk0_0))|~ordinal(X1)|~sk0_1(X0)=X1|element(sk0_4(X1,X0),powerset(powerset(X1))))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f51])).
% 21.08/2.95 fof(f60,plain,(
% 21.08/2.95 ![X0,X1]: (~in(sk0_1(X0),X0)|~in(sk0_1(X0),succ(sk0_0))|~ordinal(X1)|~sk0_1(X0)=X1|~sk0_4(X1,X0)=empty_set)),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f51])).
% 21.08/2.95 fof(f61,plain,(
% 21.08/2.95 ![X0,X1,X2]: (~in(sk0_1(X0),X0)|~in(sk0_1(X0),succ(sk0_0))|~ordinal(X1)|~sk0_1(X0)=X1|~in(X2,sk0_4(X1,X0))|in(sk0_5(X2,X1,X0),sk0_4(X1,X0)))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f51])).
% 21.08/2.95 fof(f62,plain,(
% 21.08/2.95 ![X0,X1,X2]: (~in(sk0_1(X0),X0)|~in(sk0_1(X0),succ(sk0_0))|~ordinal(X1)|~sk0_1(X0)=X1|~in(X2,sk0_4(X1,X0))|subset(X2,sk0_5(X2,X1,X0)))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f51])).
% 21.08/2.95 fof(f63,plain,(
% 21.08/2.95 ![X0,X1,X2]: (~in(sk0_1(X0),X0)|~in(sk0_1(X0),succ(sk0_0))|~ordinal(X1)|~sk0_1(X0)=X1|~in(X2,sk0_4(X1,X0))|~sk0_5(X2,X1,X0)=X2)),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f51])).
% 21.08/2.95 fof(f67,plain,(
% 21.08/2.95 ![A]: (((((((((element(sk0_7(A),powerset(A))&empty(sk0_7(A)))&relation(sk0_7(A)))&function(sk0_7(A)))&one_to_one(sk0_7(A)))&epsilon_transitive(sk0_7(A)))&epsilon_connected(sk0_7(A)))&ordinal(sk0_7(A)))&natural(sk0_7(A)))&finite(sk0_7(A)))),
% 21.08/2.95 inference(skolemization,[status(esa)],[f4])).
% 21.08/2.95 fof(f68,plain,(
% 21.08/2.95 ![X0]: (element(sk0_7(X0),powerset(X0)))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f67])).
% 21.08/2.95 fof(f78,plain,(
% 21.08/2.95 ![A]: (empty(A)|(?[B]: ((element(B,powerset(A))&~empty(B))&finite(B))))),
% 21.08/2.95 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 21.08/2.95 fof(f79,plain,(
% 21.08/2.95 ![A]: (empty(A)|((element(sk0_8(A),powerset(A))&~empty(sk0_8(A)))&finite(sk0_8(A))))),
% 21.08/2.95 inference(skolemization,[status(esa)],[f78])).
% 21.08/2.95 fof(f80,plain,(
% 21.08/2.95 ![X0]: (empty(X0)|element(sk0_8(X0),powerset(X0)))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f79])).
% 21.08/2.95 fof(f83,plain,(
% 21.08/2.95 ![A]: (~finite(A)|(![B]: (~element(B,powerset(A))|finite(B))))),
% 21.08/2.95 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 21.08/2.95 fof(f84,plain,(
% 21.08/2.95 ![X0,X1]: (~finite(X0)|~element(X1,powerset(X0))|finite(X1))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f83])).
% 21.08/2.95 fof(f92,plain,(
% 21.08/2.95 ((relation(sk0_10)&empty(sk0_10))&function(sk0_10))),
% 21.08/2.95 inference(skolemization,[status(esa)],[f10])).
% 21.08/2.95 fof(f94,plain,(
% 21.08/2.95 empty(sk0_10)),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f92])).
% 21.08/2.95 fof(f108,plain,(
% 21.08/2.95 (empty(sk0_13)&relation(sk0_13))),
% 21.08/2.95 inference(skolemization,[status(esa)],[f14])).
% 21.08/2.95 fof(f109,plain,(
% 21.08/2.95 empty(sk0_13)),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f108])).
% 21.08/2.95 fof(f124,plain,(
% 21.08/2.95 ((((~empty(sk0_16)&epsilon_transitive(sk0_16))&epsilon_connected(sk0_16))&ordinal(sk0_16))&natural(sk0_16))),
% 21.08/2.95 inference(skolemization,[status(esa)],[f19])).
% 21.08/2.95 fof(f126,plain,(
% 21.08/2.95 epsilon_transitive(sk0_16)),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f124])).
% 21.08/2.95 fof(f127,plain,(
% 21.08/2.95 epsilon_connected(sk0_16)),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f124])).
% 21.08/2.95 fof(f136,plain,(
% 21.08/2.95 ![A]: ((~epsilon_transitive(A)|~epsilon_connected(A))|ordinal(A))),
% 21.08/2.95 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 21.08/2.95 fof(f137,plain,(
% 21.08/2.95 ![X0]: (~epsilon_transitive(X0)|~epsilon_connected(X0)|ordinal(X0))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f136])).
% 21.08/2.95 fof(f138,plain,(
% 21.08/2.95 ((epsilon_transitive(sk0_17)&epsilon_connected(sk0_17))&ordinal(sk0_17))),
% 21.08/2.95 inference(skolemization,[status(esa)],[f22])).
% 21.08/2.95 fof(f139,plain,(
% 21.08/2.95 epsilon_transitive(sk0_17)),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f138])).
% 21.08/2.95 fof(f140,plain,(
% 21.08/2.95 epsilon_connected(sk0_17)),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f138])).
% 21.08/2.95 fof(f142,plain,(
% 21.08/2.95 ((((((relation(sk0_18)&function(sk0_18))&one_to_one(sk0_18))&empty(sk0_18))&epsilon_transitive(sk0_18))&epsilon_connected(sk0_18))&ordinal(sk0_18))),
% 21.08/2.95 inference(skolemization,[status(esa)],[f23])).
% 21.08/2.95 fof(f147,plain,(
% 21.08/2.95 epsilon_transitive(sk0_18)),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f142])).
% 21.08/2.95 fof(f148,plain,(
% 21.08/2.95 epsilon_connected(sk0_18)),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f142])).
% 21.08/2.95 fof(f150,plain,(
% 21.08/2.95 ![A]: (~empty(A)|((epsilon_transitive(A)&epsilon_connected(A))&ordinal(A)))),
% 21.08/2.95 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 21.08/2.95 fof(f153,plain,(
% 21.08/2.95 ![X0]: (~empty(X0)|ordinal(X0))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f150])).
% 21.08/2.95 fof(f154,plain,(
% 21.08/2.95 (((~empty(sk0_19)&epsilon_transitive(sk0_19))&epsilon_connected(sk0_19))&ordinal(sk0_19))),
% 21.08/2.95 inference(skolemization,[status(esa)],[f25])).
% 21.08/2.95 fof(f156,plain,(
% 21.08/2.95 epsilon_transitive(sk0_19)),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f154])).
% 21.08/2.95 fof(f157,plain,(
% 21.08/2.95 epsilon_connected(sk0_19)),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f154])).
% 21.08/2.95 fof(f159,plain,(
% 21.08/2.95 ![A]: (empty(A)|(?[B]: (element(B,powerset(A))&~empty(B))))),
% 21.08/2.95 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 21.08/2.95 fof(f160,plain,(
% 21.08/2.95 ![A]: (empty(A)|(element(sk0_20(A),powerset(A))&~empty(sk0_20(A))))),
% 21.08/2.95 inference(skolemization,[status(esa)],[f159])).
% 21.08/2.95 fof(f161,plain,(
% 21.08/2.95 ![X0]: (empty(X0)|element(sk0_20(X0),powerset(X0)))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f160])).
% 21.08/2.95 fof(f163,plain,(
% 21.08/2.95 ![A]: (element(sk0_21(A),powerset(A))&empty(sk0_21(A)))),
% 21.08/2.95 inference(skolemization,[status(esa)],[f27])).
% 21.08/2.95 fof(f164,plain,(
% 21.08/2.95 ![X0]: (element(sk0_21(X0),powerset(X0)))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f163])).
% 21.08/2.95 fof(f166,plain,(
% 21.08/2.95 empty(sk0_22)),
% 21.08/2.95 inference(skolemization,[status(esa)],[f28])).
% 21.08/2.95 fof(f167,plain,(
% 21.08/2.95 empty(sk0_22)),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f166])).
% 21.08/2.95 fof(f172,plain,(
% 21.08/2.95 ![A,B]: (~in(A,B)|~in(B,A))),
% 21.08/2.95 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 21.08/2.95 fof(f173,plain,(
% 21.08/2.95 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f172])).
% 21.08/2.95 fof(f174,plain,(
% 21.08/2.95 epsilon_transitive(omega)),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f37])).
% 21.08/2.95 fof(f175,plain,(
% 21.08/2.95 epsilon_connected(omega)),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f37])).
% 21.08/2.95 fof(f183,plain,(
% 21.08/2.95 ![A]: (~ordinal(A)|(![B]: (~element(B,A)|((epsilon_transitive(B)&epsilon_connected(B))&ordinal(B)))))),
% 21.08/2.95 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 21.08/2.95 fof(f184,plain,(
% 21.08/2.95 ![X0,X1]: (~ordinal(X0)|~element(X1,X0)|epsilon_transitive(X1))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f183])).
% 21.08/2.95 fof(f185,plain,(
% 21.08/2.95 ![X0,X1]: (~ordinal(X0)|~element(X1,X0)|epsilon_connected(X1))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f183])).
% 21.08/2.95 fof(f186,plain,(
% 21.08/2.95 ![X0,X1]: (~ordinal(X0)|~element(X1,X0)|ordinal(X1))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f183])).
% 21.08/2.95 fof(f193,plain,(
% 21.08/2.95 ![A]: (~ordinal(A)|(epsilon_transitive(A)&epsilon_connected(A)))),
% 21.08/2.95 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 21.08/2.95 fof(f194,plain,(
% 21.08/2.95 ![X0]: (~ordinal(X0)|epsilon_transitive(X0))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f193])).
% 21.08/2.95 fof(f195,plain,(
% 21.08/2.95 ![X0]: (~ordinal(X0)|epsilon_connected(X0))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f193])).
% 21.08/2.95 fof(f201,plain,(
% 21.08/2.95 epsilon_transitive(empty_set)),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f44])).
% 21.08/2.95 fof(f202,plain,(
% 21.08/2.95 epsilon_connected(empty_set)),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f44])).
% 21.08/2.95 fof(f209,plain,(
% 21.08/2.95 ![X0]: (~empty(powerset(X0)))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f46])).
% 21.08/2.95 fof(f211,plain,(
% 21.08/2.95 ![A]: (~ordinal(A)|((?[B,C,D]: ((((B=C&(?[E]: ((ordinal(E)&C=E)&(~in(E,omega)|(![F]: (~element(F,powerset(powerset(E)))|(F=empty_set|(?[G]: (in(G,F)&(![H]: ((~in(H,F)|~subset(G,H))|H=G)))))))))))&B=D)&(?[I]: ((ordinal(I)&D=I)&(~in(I,omega)|(![J]: (~element(J,powerset(powerset(I)))|(J=empty_set|(?[K]: (in(K,J)&(![L]: ((~in(L,J)|~subset(K,L))|L=K)))))))))))&~C=D))|(?[B]: ![C]: (in(C,B)<=>(?[D]: ((in(D,succ(A))&D=C)&(?[M]: ((ordinal(M)&C=M)&(~in(M,omega)|(![N]: (~element(N,powerset(powerset(M)))|(N=empty_set|(?[O]: (in(O,N)&(![P]: ((~in(P,N)|~subset(O,P))|P=O))))))))))))))))),
% 21.08/2.95 inference(pre_NNF_transformation,[status(esa)],[f48])).
% 21.08/2.95 fof(f212,plain,(
% 21.08/2.95 ![B,C,D]: (pd0_0(D,C,B)=>((((B=C&(?[E]: ((ordinal(E)&C=E)&(~in(E,omega)|(![F]: (~element(F,powerset(powerset(E)))|(F=empty_set|(?[G]: (in(G,F)&(![H]: ((~in(H,F)|~subset(G,H))|H=G)))))))))))&B=D)&(?[I]: ((ordinal(I)&D=I)&(~in(I,omega)|(![J]: (~element(J,powerset(powerset(I)))|(J=empty_set|(?[K]: (in(K,J)&(![L]: ((~in(L,J)|~subset(K,L))|L=K)))))))))))&~C=D))),
% 21.08/2.95 introduced(predicate_definition,[f211])).
% 21.08/2.95 fof(f213,plain,(
% 21.08/2.95 ![A]: (~ordinal(A)|((?[B,C,D]: pd0_0(D,C,B))|(?[B]: ![C]: (in(C,B)<=>(?[D]: ((in(D,succ(A))&D=C)&(?[M]: ((ordinal(M)&C=M)&(~in(M,omega)|(![N]: (~element(N,powerset(powerset(M)))|(N=empty_set|(?[O]: (in(O,N)&(![P]: ((~in(P,N)|~subset(O,P))|P=O))))))))))))))))),
% 21.08/2.95 inference(formula_renaming,[status(thm)],[f211,f212])).
% 21.08/2.95 fof(f214,plain,(
% 21.08/2.95 ![A]: (~ordinal(A)|((?[B,C,D]: pd0_0(D,C,B))|(?[B]: ![C]: ((~in(C,B)|(?[D]: ((in(D,succ(A))&D=C)&(?[M]: ((ordinal(M)&C=M)&(~in(M,omega)|(![N]: (~element(N,powerset(powerset(M)))|(N=empty_set|(?[O]: (in(O,N)&(![P]: ((~in(P,N)|~subset(O,P))|P=O)))))))))))))&(in(C,B)|(![D]: ((~in(D,succ(A))|~D=C)|(![M]: ((~ordinal(M)|~C=M)|(in(M,omega)&(?[N]: (element(N,powerset(powerset(M)))&(~N=empty_set&(![O]: (~in(O,N)|(?[P]: ((in(P,N)&subset(O,P))&~P=O)))))))))))))))))),
% 21.08/2.95 inference(NNF_transformation,[status(esa)],[f213])).
% 21.08/2.95 fof(f215,plain,(
% 21.08/2.95 ![A]: (~ordinal(A)|((?[B,C,D]: pd0_0(D,C,B))|(?[B]: ((![C]: (~in(C,B)|((?[D]: (in(D,succ(A))&D=C))&(?[M]: ((ordinal(M)&C=M)&(~in(M,omega)|(![N]: (~element(N,powerset(powerset(M)))|(N=empty_set|(?[O]: (in(O,N)&(![P]: ((~in(P,N)|~subset(O,P))|P=O)))))))))))))&(![C]: (in(C,B)|((![D]: (~in(D,succ(A))|~D=C))|(![M]: ((~ordinal(M)|~C=M)|(in(M,omega)&(?[N]: (element(N,powerset(powerset(M)))&(~N=empty_set&(![O]: (~in(O,N)|(?[P]: ((in(P,N)&subset(O,P))&~P=O)))))))))))))))))),
% 21.08/2.95 inference(miniscoping,[status(esa)],[f214])).
% 21.08/2.95 fof(f216,plain,(
% 21.08/2.95 ![A]: (~ordinal(A)|(pd0_0(sk0_26(A),sk0_25(A),sk0_24(A))|((![C]: (~in(C,sk0_27(A))|((in(sk0_28(C,A),succ(A))&sk0_28(C,A)=C)&((ordinal(sk0_29(C,A))&C=sk0_29(C,A))&(~in(sk0_29(C,A),omega)|(![N]: (~element(N,powerset(powerset(sk0_29(C,A))))|(N=empty_set|(in(sk0_30(N,C,A),N)&(![P]: ((~in(P,N)|~subset(sk0_30(N,C,A),P))|P=sk0_30(N,C,A))))))))))))&(![C]: (in(C,sk0_27(A))|((![D]: (~in(D,succ(A))|~D=C))|(![M]: ((~ordinal(M)|~C=M)|(in(M,omega)&(element(sk0_31(M,C,A),powerset(powerset(M)))&(~sk0_31(M,C,A)=empty_set&(![O]: (~in(O,sk0_31(M,C,A))|((in(sk0_32(O,M,C,A),sk0_31(M,C,A))&subset(O,sk0_32(O,M,C,A)))&~sk0_32(O,M,C,A)=O))))))))))))))),
% 21.08/2.95 inference(skolemization,[status(esa)],[f215])).
% 21.08/2.95 fof(f217,plain,(
% 21.08/2.95 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|in(sk0_28(X1,X0),succ(X0)))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f216])).
% 21.08/2.95 fof(f218,plain,(
% 21.08/2.95 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|sk0_28(X1,X0)=X1)),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f216])).
% 21.08/2.95 fof(f219,plain,(
% 21.08/2.95 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|ordinal(sk0_29(X1,X0)))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f216])).
% 21.08/2.95 fof(f220,plain,(
% 21.08/2.95 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|X1=sk0_29(X1,X0))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f216])).
% 21.08/2.95 fof(f221,plain,(
% 21.08/2.95 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|~element(X2,powerset(powerset(sk0_29(X1,X0))))|X2=empty_set|in(sk0_30(X2,X1,X0),X2))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f216])).
% 21.08/2.95 fof(f222,plain,(
% 21.08/2.95 ![X0,X1,X2,X3]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|~element(X2,powerset(powerset(sk0_29(X1,X0))))|X2=empty_set|~in(X3,X2)|~subset(sk0_30(X2,X1,X0),X3)|X3=sk0_30(X2,X1,X0))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f216])).
% 21.08/2.95 fof(f223,plain,(
% 21.08/2.95 ![X0,X1,X2,X3]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(X1,sk0_27(X0))|~in(X2,succ(X0))|~X2=X1|~ordinal(X3)|~X1=X3|in(X3,omega))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f216])).
% 21.08/2.95 fof(f224,plain,(
% 21.08/2.95 ![X0,X1,X2,X3]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(X1,sk0_27(X0))|~in(X2,succ(X0))|~X2=X1|~ordinal(X3)|~X1=X3|element(sk0_31(X3,X1,X0),powerset(powerset(X3))))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f216])).
% 21.08/2.95 fof(f225,plain,(
% 21.08/2.95 ![X0,X1,X2,X3]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(X1,sk0_27(X0))|~in(X2,succ(X0))|~X2=X1|~ordinal(X3)|~X1=X3|~sk0_31(X3,X1,X0)=empty_set)),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f216])).
% 21.08/2.95 fof(f226,plain,(
% 21.08/2.95 ![X0,X1,X2,X3,X4]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(X1,sk0_27(X0))|~in(X2,succ(X0))|~X2=X1|~ordinal(X3)|~X1=X3|~in(X4,sk0_31(X3,X1,X0))|in(sk0_32(X4,X3,X1,X0),sk0_31(X3,X1,X0)))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f216])).
% 21.08/2.95 fof(f227,plain,(
% 21.08/2.95 ![X0,X1,X2,X3,X4]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(X1,sk0_27(X0))|~in(X2,succ(X0))|~X2=X1|~ordinal(X3)|~X1=X3|~in(X4,sk0_31(X3,X1,X0))|subset(X4,sk0_32(X4,X3,X1,X0)))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f216])).
% 21.08/2.95 fof(f228,plain,(
% 21.08/2.95 ![X0,X1,X2,X3,X4]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(X1,sk0_27(X0))|~in(X2,succ(X0))|~X2=X1|~ordinal(X3)|~X1=X3|~in(X4,sk0_31(X3,X1,X0))|~sk0_32(X4,X3,X1,X0)=X4)),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f216])).
% 21.08/2.95 fof(f229,plain,(
% 21.08/2.95 ![B,C,D]: (~pd0_0(D,C,B)|((((B=C&(?[E]: ((ordinal(E)&C=E)&(~in(E,omega)|(![F]: (~element(F,powerset(powerset(E)))|(F=empty_set|(?[G]: (in(G,F)&(![H]: ((~in(H,F)|~subset(G,H))|H=G)))))))))))&B=D)&(?[I]: ((ordinal(I)&D=I)&(~in(I,omega)|(![J]: (~element(J,powerset(powerset(I)))|(J=empty_set|(?[K]: (in(K,J)&(![L]: ((~in(L,J)|~subset(K,L))|L=K)))))))))))&~C=D))),
% 21.08/2.95 inference(pre_NNF_transformation,[status(esa)],[f212])).
% 21.08/2.95 fof(f230,plain,(
% 21.08/2.95 ![B,C,D]: (~pd0_0(D,C,B)|((((B=C&((ordinal(sk0_33(D,C,B))&C=sk0_33(D,C,B))&(~in(sk0_33(D,C,B),omega)|(![F]: (~element(F,powerset(powerset(sk0_33(D,C,B))))|(F=empty_set|(in(sk0_34(F,D,C,B),F)&(![H]: ((~in(H,F)|~subset(sk0_34(F,D,C,B),H))|H=sk0_34(F,D,C,B))))))))))&B=D)&((ordinal(sk0_35(D,C,B))&D=sk0_35(D,C,B))&(~in(sk0_35(D,C,B),omega)|(![J]: (~element(J,powerset(powerset(sk0_35(D,C,B))))|(J=empty_set|(in(sk0_36(J,D,C,B),J)&(![L]: ((~in(L,J)|~subset(sk0_36(J,D,C,B),L))|L=sk0_36(J,D,C,B))))))))))&~C=D))),
% 21.08/2.95 inference(skolemization,[status(esa)],[f229])).
% 21.08/2.95 fof(f231,plain,(
% 21.08/2.95 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|X2=X1)),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f230])).
% 21.08/2.95 fof(f235,plain,(
% 21.08/2.95 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2)|~in(sk0_33(X0,X1,X2),omega)|~element(X3,powerset(powerset(sk0_33(X0,X1,X2))))|X3=empty_set|~in(X4,X3)|~subset(sk0_34(X3,X0,X1,X2),X4)|X4=sk0_34(X3,X0,X1,X2))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f230])).
% 21.08/2.95 fof(f236,plain,(
% 21.08/2.95 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|X2=X0)),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f230])).
% 21.08/2.95 fof(f240,plain,(
% 21.08/2.95 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2)|~in(sk0_35(X0,X1,X2),omega)|~element(X3,powerset(powerset(sk0_35(X0,X1,X2))))|X3=empty_set|~in(X4,X3)|~subset(sk0_36(X3,X0,X1,X2),X4)|X4=sk0_36(X3,X0,X1,X2))),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f230])).
% 21.08/2.95 fof(f241,plain,(
% 21.08/2.95 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|~X1=X0)),
% 21.08/2.95 inference(cnf_transformation,[status(esa)],[f230])).
% 21.08/2.95 fof(f242,plain,(
% 21.08/2.95 ![X0]: (~in(sk0_1(X0),X0)|~in(sk0_1(X0),succ(sk0_0))|~ordinal(sk0_1(X0))|in(sk0_1(X0),omega))),
% 21.08/2.95 inference(destructive_equality_resolution,[status(esa)],[f58])).
% 21.08/2.95 fof(f243,plain,(
% 21.08/2.95 ![X0]: (~in(sk0_1(X0),X0)|~in(sk0_1(X0),succ(sk0_0))|~ordinal(sk0_1(X0))|element(sk0_4(sk0_1(X0),X0),powerset(powerset(sk0_1(X0)))))),
% 21.08/2.95 inference(destructive_equality_resolution,[status(esa)],[f59])).
% 21.08/2.95 fof(f244,plain,(
% 21.08/2.95 ![X0]: (~in(sk0_1(X0),X0)|~in(sk0_1(X0),succ(sk0_0))|~ordinal(sk0_1(X0))|~sk0_4(sk0_1(X0),X0)=empty_set)),
% 21.08/2.95 inference(destructive_equality_resolution,[status(esa)],[f60])).
% 21.08/2.95 fof(f245,plain,(
% 21.08/2.95 ![X0,X1]: (~in(sk0_1(X0),X0)|~in(sk0_1(X0),succ(sk0_0))|~ordinal(sk0_1(X0))|~in(X1,sk0_4(sk0_1(X0),X0))|in(sk0_5(X1,sk0_1(X0),X0),sk0_4(sk0_1(X0),X0)))),
% 21.08/2.95 inference(destructive_equality_resolution,[status(esa)],[f61])).
% 21.08/2.95 fof(f246,plain,(
% 21.08/2.95 ![X0,X1]: (~in(sk0_1(X0),X0)|~in(sk0_1(X0),succ(sk0_0))|~ordinal(sk0_1(X0))|~in(X1,sk0_4(sk0_1(X0),X0))|subset(X1,sk0_5(X1,sk0_1(X0),X0)))),
% 21.08/2.95 inference(destructive_equality_resolution,[status(esa)],[f62])).
% 21.08/2.95 fof(f247,plain,(
% 21.08/2.95 ![X0,X1]: (~in(sk0_1(X0),X0)|~in(sk0_1(X0),succ(sk0_0))|~ordinal(sk0_1(X0))|~in(X1,sk0_4(sk0_1(X0),X0))|~sk0_5(X1,sk0_1(X0),X0)=X1)),
% 21.08/2.95 inference(destructive_equality_resolution,[status(esa)],[f63])).
% 21.08/2.95 fof(f249,plain,(
% 21.08/2.95 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|in(X1,omega))),
% 21.08/2.95 inference(destructive_equality_resolution,[status(esa)],[f223])).
% 21.08/2.95 fof(f250,plain,(
% 21.08/2.95 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|element(sk0_31(X1,X1,X0),powerset(powerset(X1))))),
% 21.08/2.95 inference(destructive_equality_resolution,[status(esa)],[f224])).
% 21.08/2.95 fof(f251,plain,(
% 21.08/2.95 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~sk0_31(X1,X1,X0)=empty_set)),
% 21.08/2.95 inference(destructive_equality_resolution,[status(esa)],[f225])).
% 21.08/2.95 fof(f252,plain,(
% 21.08/2.95 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(X2,sk0_31(X1,X1,X0))|in(sk0_32(X2,X1,X1,X0),sk0_31(X1,X1,X0)))),
% 21.08/2.95 inference(destructive_equality_resolution,[status(esa)],[f226])).
% 21.08/2.95 fof(f253,plain,(
% 21.08/2.95 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(X2,sk0_31(X1,X1,X0))|subset(X2,sk0_32(X2,X1,X1,X0)))),
% 21.08/2.95 inference(destructive_equality_resolution,[status(esa)],[f227])).
% 21.08/2.95 fof(f254,plain,(
% 21.08/2.95 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(X2,sk0_31(X1,X1,X0))|~sk0_32(X2,X1,X1,X0)=X2)),
% 21.08/2.95 inference(destructive_equality_resolution,[status(esa)],[f228])).
% 21.08/2.95 fof(f255,plain,(
% 21.08/2.95 ![X0,X1]: (~pd0_0(X0,X0,X1))),
% 21.08/2.95 inference(destructive_equality_resolution,[status(esa)],[f241])).
% 21.08/2.95 fof(f258,plain,(
% 21.08/2.95 spl0_0 <=> in(sk0_1(succ(sk0_0)),succ(sk0_0))),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f260,plain,(
% 21.08/2.95 ~in(sk0_1(succ(sk0_0)),succ(sk0_0))|spl0_0),
% 21.08/2.95 inference(component_clause,[status(thm)],[f258])).
% 21.08/2.95 fof(f272,plain,(
% 21.08/2.95 ![X0,X1]: (in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|~element(X1,powerset(powerset(sk0_1(X0))))|X1=empty_set|in(sk0_3(X1,X0),X1)|in(sk0_1(X0),X0))),
% 21.08/2.95 inference(paramodulation,[status(thm)],[f55,f56])).
% 21.08/2.95 fof(f273,plain,(
% 21.08/2.95 ![X0,X1]: (in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|~element(X1,powerset(powerset(sk0_1(X0))))|X1=empty_set|in(sk0_3(X1,X0),X1))),
% 21.08/2.95 inference(duplicate_literals_removal,[status(esa)],[f272])).
% 21.08/2.95 fof(f274,plain,(
% 21.08/2.95 ![X0,X1,X2]: (in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|~element(X1,powerset(powerset(sk0_1(X0))))|X1=empty_set|~in(X2,X1)|~subset(sk0_3(X1,X0),X2)|X2=sk0_3(X1,X0)|in(sk0_1(X0),X0))),
% 21.08/2.95 inference(paramodulation,[status(thm)],[f55,f57])).
% 21.08/2.95 fof(f275,plain,(
% 21.08/2.95 ![X0,X1,X2]: (in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|~element(X1,powerset(powerset(sk0_1(X0))))|X1=empty_set|~in(X2,X1)|~subset(sk0_3(X1,X0),X2)|X2=sk0_3(X1,X0))),
% 21.08/2.95 inference(duplicate_literals_removal,[status(esa)],[f274])).
% 21.08/2.95 fof(f288,plain,(
% 21.08/2.95 ![X0,X1]: (in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|sk0_7(powerset(sk0_1(X0)))=empty_set|~in(X1,sk0_7(powerset(sk0_1(X0))))|~subset(sk0_3(sk0_7(powerset(sk0_1(X0))),X0),X1)|X1=sk0_3(sk0_7(powerset(sk0_1(X0))),X0))),
% 21.08/2.95 inference(resolution,[status(thm)],[f68,f275])).
% 21.08/2.95 fof(f290,plain,(
% 21.08/2.95 ![X0,X1]: (in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|sk0_7(powerset(sk0_2(X0)))=empty_set|~in(X1,sk0_7(powerset(sk0_2(X0))))|~subset(sk0_3(sk0_7(powerset(sk0_2(X0))),X0),X1)|X1=sk0_3(sk0_7(powerset(sk0_2(X0))),X0))),
% 21.08/2.95 inference(resolution,[status(thm)],[f68,f57])).
% 21.08/2.95 fof(f341,plain,(
% 21.08/2.95 epsilon_transitive(sk0_0)),
% 21.08/2.95 inference(resolution,[status(thm)],[f194,f52])).
% 21.08/2.95 fof(f350,plain,(
% 21.08/2.95 epsilon_connected(sk0_0)),
% 21.08/2.95 inference(resolution,[status(thm)],[f195,f52])).
% 21.08/2.95 fof(f351,plain,(
% 21.08/2.95 spl0_6 <=> epsilon_transitive(sk0_0)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f353,plain,(
% 21.08/2.95 ~epsilon_transitive(sk0_0)|spl0_6),
% 21.08/2.95 inference(component_clause,[status(thm)],[f351])).
% 21.08/2.95 fof(f354,plain,(
% 21.08/2.95 spl0_7 <=> ordinal(sk0_0)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f357,plain,(
% 21.08/2.95 ~epsilon_transitive(sk0_0)|ordinal(sk0_0)),
% 21.08/2.95 inference(resolution,[status(thm)],[f137,f350])).
% 21.08/2.95 fof(f358,plain,(
% 21.08/2.95 ~spl0_6|spl0_7),
% 21.08/2.95 inference(split_clause,[status(thm)],[f357,f351,f354])).
% 21.08/2.95 fof(f360,plain,(
% 21.08/2.95 $false|spl0_6),
% 21.08/2.95 inference(forward_subsumption_resolution,[status(thm)],[f353,f341])).
% 21.08/2.95 fof(f361,plain,(
% 21.08/2.95 spl0_6),
% 21.08/2.95 inference(contradiction_clause,[status(thm)],[f360])).
% 21.08/2.95 fof(f368,plain,(
% 21.08/2.95 ordinal(sk0_10)),
% 21.08/2.95 inference(resolution,[status(thm)],[f94,f153])).
% 21.08/2.95 fof(f369,plain,(
% 21.08/2.95 epsilon_connected(sk0_10)),
% 21.08/2.95 inference(resolution,[status(thm)],[f368,f195])).
% 21.08/2.95 fof(f370,plain,(
% 21.08/2.95 epsilon_transitive(sk0_10)),
% 21.08/2.95 inference(resolution,[status(thm)],[f368,f194])).
% 21.08/2.95 fof(f371,plain,(
% 21.08/2.95 ordinal(sk0_13)),
% 21.08/2.95 inference(resolution,[status(thm)],[f109,f153])).
% 21.08/2.95 fof(f372,plain,(
% 21.08/2.95 epsilon_connected(sk0_13)),
% 21.08/2.95 inference(resolution,[status(thm)],[f371,f195])).
% 21.08/2.95 fof(f373,plain,(
% 21.08/2.95 epsilon_transitive(sk0_13)),
% 21.08/2.95 inference(resolution,[status(thm)],[f371,f194])).
% 21.08/2.95 fof(f374,plain,(
% 21.08/2.95 ![X0,X1]: (empty(powerset(sk0_1(X0)))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|sk0_8(powerset(sk0_1(X0)))=empty_set|~in(X1,sk0_8(powerset(sk0_1(X0))))|~subset(sk0_3(sk0_8(powerset(sk0_1(X0))),X0),X1)|X1=sk0_3(sk0_8(powerset(sk0_1(X0))),X0))),
% 21.08/2.95 inference(resolution,[status(thm)],[f80,f275])).
% 21.08/2.95 fof(f375,plain,(
% 21.08/2.95 ![X0,X1]: (in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|sk0_8(powerset(sk0_1(X0)))=empty_set|~in(X1,sk0_8(powerset(sk0_1(X0))))|~subset(sk0_3(sk0_8(powerset(sk0_1(X0))),X0),X1)|X1=sk0_3(sk0_8(powerset(sk0_1(X0))),X0))),
% 21.08/2.95 inference(forward_subsumption_resolution,[status(thm)],[f374,f209])).
% 21.08/2.95 fof(f378,plain,(
% 21.08/2.95 ![X0,X1]: (empty(powerset(sk0_2(X0)))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|sk0_8(powerset(sk0_2(X0)))=empty_set|~in(X1,sk0_8(powerset(sk0_2(X0))))|~subset(sk0_3(sk0_8(powerset(sk0_2(X0))),X0),X1)|X1=sk0_3(sk0_8(powerset(sk0_2(X0))),X0))),
% 21.08/2.95 inference(resolution,[status(thm)],[f80,f57])).
% 21.08/2.95 fof(f379,plain,(
% 21.08/2.95 ![X0,X1]: (in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|sk0_8(powerset(sk0_2(X0)))=empty_set|~in(X1,sk0_8(powerset(sk0_2(X0))))|~subset(sk0_3(sk0_8(powerset(sk0_2(X0))),X0),X1)|X1=sk0_3(sk0_8(powerset(sk0_2(X0))),X0))),
% 21.08/2.95 inference(forward_subsumption_resolution,[status(thm)],[f378,f209])).
% 21.08/2.95 fof(f402,plain,(
% 21.08/2.95 spl0_8 <=> epsilon_transitive(sk0_16)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f404,plain,(
% 21.08/2.95 ~epsilon_transitive(sk0_16)|spl0_8),
% 21.08/2.95 inference(component_clause,[status(thm)],[f402])).
% 21.08/2.95 fof(f405,plain,(
% 21.08/2.95 spl0_9 <=> ordinal(sk0_16)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f408,plain,(
% 21.08/2.95 ~epsilon_transitive(sk0_16)|ordinal(sk0_16)),
% 21.08/2.95 inference(resolution,[status(thm)],[f127,f137])).
% 21.08/2.95 fof(f409,plain,(
% 21.08/2.95 ~spl0_8|spl0_9),
% 21.08/2.95 inference(split_clause,[status(thm)],[f408,f402,f405])).
% 21.08/2.95 fof(f410,plain,(
% 21.08/2.95 $false|spl0_8),
% 21.08/2.95 inference(forward_subsumption_resolution,[status(thm)],[f404,f126])).
% 21.08/2.95 fof(f411,plain,(
% 21.08/2.95 spl0_8),
% 21.08/2.95 inference(contradiction_clause,[status(thm)],[f410])).
% 21.08/2.95 fof(f412,plain,(
% 21.08/2.95 spl0_10 <=> epsilon_transitive(sk0_17)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f414,plain,(
% 21.08/2.95 ~epsilon_transitive(sk0_17)|spl0_10),
% 21.08/2.95 inference(component_clause,[status(thm)],[f412])).
% 21.08/2.95 fof(f415,plain,(
% 21.08/2.95 spl0_11 <=> ordinal(sk0_17)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f418,plain,(
% 21.08/2.95 ~epsilon_transitive(sk0_17)|ordinal(sk0_17)),
% 21.08/2.95 inference(resolution,[status(thm)],[f140,f137])).
% 21.08/2.95 fof(f419,plain,(
% 21.08/2.95 ~spl0_10|spl0_11),
% 21.08/2.95 inference(split_clause,[status(thm)],[f418,f412,f415])).
% 21.08/2.95 fof(f420,plain,(
% 21.08/2.95 $false|spl0_10),
% 21.08/2.95 inference(forward_subsumption_resolution,[status(thm)],[f414,f139])).
% 21.08/2.95 fof(f421,plain,(
% 21.08/2.95 spl0_10),
% 21.08/2.95 inference(contradiction_clause,[status(thm)],[f420])).
% 21.08/2.95 fof(f423,plain,(
% 21.08/2.95 spl0_12 <=> epsilon_transitive(sk0_18)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f425,plain,(
% 21.08/2.95 ~epsilon_transitive(sk0_18)|spl0_12),
% 21.08/2.95 inference(component_clause,[status(thm)],[f423])).
% 21.08/2.95 fof(f426,plain,(
% 21.08/2.95 spl0_13 <=> ordinal(sk0_18)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f429,plain,(
% 21.08/2.95 ~epsilon_transitive(sk0_18)|ordinal(sk0_18)),
% 21.08/2.95 inference(resolution,[status(thm)],[f148,f137])).
% 21.08/2.95 fof(f430,plain,(
% 21.08/2.95 ~spl0_12|spl0_13),
% 21.08/2.95 inference(split_clause,[status(thm)],[f429,f423,f426])).
% 21.08/2.95 fof(f431,plain,(
% 21.08/2.95 $false|spl0_12),
% 21.08/2.95 inference(forward_subsumption_resolution,[status(thm)],[f425,f147])).
% 21.08/2.95 fof(f432,plain,(
% 21.08/2.95 spl0_12),
% 21.08/2.95 inference(contradiction_clause,[status(thm)],[f431])).
% 21.08/2.95 fof(f433,plain,(
% 21.08/2.95 spl0_14 <=> epsilon_transitive(sk0_19)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f435,plain,(
% 21.08/2.95 ~epsilon_transitive(sk0_19)|spl0_14),
% 21.08/2.95 inference(component_clause,[status(thm)],[f433])).
% 21.08/2.95 fof(f436,plain,(
% 21.08/2.95 spl0_15 <=> ordinal(sk0_19)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f439,plain,(
% 21.08/2.95 ~epsilon_transitive(sk0_19)|ordinal(sk0_19)),
% 21.08/2.95 inference(resolution,[status(thm)],[f157,f137])).
% 21.08/2.95 fof(f440,plain,(
% 21.08/2.95 ~spl0_14|spl0_15),
% 21.08/2.95 inference(split_clause,[status(thm)],[f439,f433,f436])).
% 21.08/2.95 fof(f441,plain,(
% 21.08/2.95 $false|spl0_14),
% 21.08/2.95 inference(forward_subsumption_resolution,[status(thm)],[f435,f156])).
% 21.08/2.95 fof(f442,plain,(
% 21.08/2.95 spl0_14),
% 21.08/2.95 inference(contradiction_clause,[status(thm)],[f441])).
% 21.08/2.95 fof(f443,plain,(
% 21.08/2.95 ordinal(sk0_22)),
% 21.08/2.95 inference(resolution,[status(thm)],[f167,f153])).
% 21.08/2.95 fof(f444,plain,(
% 21.08/2.95 epsilon_connected(sk0_22)),
% 21.08/2.95 inference(resolution,[status(thm)],[f443,f195])).
% 21.08/2.95 fof(f445,plain,(
% 21.08/2.95 epsilon_transitive(sk0_22)),
% 21.08/2.95 inference(resolution,[status(thm)],[f443,f194])).
% 21.08/2.95 fof(f446,plain,(
% 21.08/2.95 spl0_16 <=> epsilon_transitive(omega)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f448,plain,(
% 21.08/2.95 ~epsilon_transitive(omega)|spl0_16),
% 21.08/2.95 inference(component_clause,[status(thm)],[f446])).
% 21.08/2.95 fof(f449,plain,(
% 21.08/2.95 spl0_17 <=> ordinal(omega)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f452,plain,(
% 21.08/2.95 ~epsilon_transitive(omega)|ordinal(omega)),
% 21.08/2.95 inference(resolution,[status(thm)],[f175,f137])).
% 21.08/2.95 fof(f453,plain,(
% 21.08/2.95 ~spl0_16|spl0_17),
% 21.08/2.95 inference(split_clause,[status(thm)],[f452,f446,f449])).
% 21.08/2.95 fof(f454,plain,(
% 21.08/2.95 $false|spl0_16),
% 21.08/2.95 inference(forward_subsumption_resolution,[status(thm)],[f448,f174])).
% 21.08/2.95 fof(f455,plain,(
% 21.08/2.95 spl0_16),
% 21.08/2.95 inference(contradiction_clause,[status(thm)],[f454])).
% 21.08/2.95 fof(f456,plain,(
% 21.08/2.95 spl0_18 <=> epsilon_transitive(empty_set)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f458,plain,(
% 21.08/2.95 ~epsilon_transitive(empty_set)|spl0_18),
% 21.08/2.95 inference(component_clause,[status(thm)],[f456])).
% 21.08/2.95 fof(f459,plain,(
% 21.08/2.95 spl0_19 <=> ordinal(empty_set)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f462,plain,(
% 21.08/2.95 ~epsilon_transitive(empty_set)|ordinal(empty_set)),
% 21.08/2.95 inference(resolution,[status(thm)],[f202,f137])).
% 21.08/2.95 fof(f463,plain,(
% 21.08/2.95 ~spl0_18|spl0_19),
% 21.08/2.95 inference(split_clause,[status(thm)],[f462,f456,f459])).
% 21.08/2.95 fof(f464,plain,(
% 21.08/2.95 $false|spl0_18),
% 21.08/2.95 inference(forward_subsumption_resolution,[status(thm)],[f458,f201])).
% 21.08/2.95 fof(f465,plain,(
% 21.08/2.95 spl0_18),
% 21.08/2.95 inference(contradiction_clause,[status(thm)],[f464])).
% 21.08/2.95 fof(f466,plain,(
% 21.08/2.95 spl0_20 <=> epsilon_transitive(sk0_10)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f468,plain,(
% 21.08/2.95 ~epsilon_transitive(sk0_10)|spl0_20),
% 21.08/2.95 inference(component_clause,[status(thm)],[f466])).
% 21.08/2.95 fof(f469,plain,(
% 21.08/2.95 spl0_21 <=> ordinal(sk0_10)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f472,plain,(
% 21.08/2.95 ~epsilon_transitive(sk0_10)|ordinal(sk0_10)),
% 21.08/2.95 inference(resolution,[status(thm)],[f369,f137])).
% 21.08/2.95 fof(f473,plain,(
% 21.08/2.95 ~spl0_20|spl0_21),
% 21.08/2.95 inference(split_clause,[status(thm)],[f472,f466,f469])).
% 21.08/2.95 fof(f474,plain,(
% 21.08/2.95 $false|spl0_20),
% 21.08/2.95 inference(forward_subsumption_resolution,[status(thm)],[f468,f370])).
% 21.08/2.95 fof(f475,plain,(
% 21.08/2.95 spl0_20),
% 21.08/2.95 inference(contradiction_clause,[status(thm)],[f474])).
% 21.08/2.95 fof(f476,plain,(
% 21.08/2.95 spl0_22 <=> epsilon_transitive(sk0_13)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f478,plain,(
% 21.08/2.95 ~epsilon_transitive(sk0_13)|spl0_22),
% 21.08/2.95 inference(component_clause,[status(thm)],[f476])).
% 21.08/2.95 fof(f479,plain,(
% 21.08/2.95 spl0_23 <=> ordinal(sk0_13)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f482,plain,(
% 21.08/2.95 ~epsilon_transitive(sk0_13)|ordinal(sk0_13)),
% 21.08/2.95 inference(resolution,[status(thm)],[f372,f137])).
% 21.08/2.95 fof(f483,plain,(
% 21.08/2.95 ~spl0_22|spl0_23),
% 21.08/2.95 inference(split_clause,[status(thm)],[f482,f476,f479])).
% 21.08/2.95 fof(f484,plain,(
% 21.08/2.95 $false|spl0_22),
% 21.08/2.95 inference(forward_subsumption_resolution,[status(thm)],[f478,f373])).
% 21.08/2.95 fof(f485,plain,(
% 21.08/2.95 spl0_22),
% 21.08/2.95 inference(contradiction_clause,[status(thm)],[f484])).
% 21.08/2.95 fof(f486,plain,(
% 21.08/2.95 spl0_24 <=> epsilon_transitive(sk0_22)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f488,plain,(
% 21.08/2.95 ~epsilon_transitive(sk0_22)|spl0_24),
% 21.08/2.95 inference(component_clause,[status(thm)],[f486])).
% 21.08/2.95 fof(f489,plain,(
% 21.08/2.95 spl0_25 <=> ordinal(sk0_22)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f492,plain,(
% 21.08/2.95 ~epsilon_transitive(sk0_22)|ordinal(sk0_22)),
% 21.08/2.95 inference(resolution,[status(thm)],[f444,f137])).
% 21.08/2.95 fof(f493,plain,(
% 21.08/2.95 ~spl0_24|spl0_25),
% 21.08/2.95 inference(split_clause,[status(thm)],[f492,f486,f489])).
% 21.08/2.95 fof(f494,plain,(
% 21.08/2.95 $false|spl0_24),
% 21.08/2.95 inference(forward_subsumption_resolution,[status(thm)],[f488,f445])).
% 21.08/2.95 fof(f495,plain,(
% 21.08/2.95 spl0_24),
% 21.08/2.95 inference(contradiction_clause,[status(thm)],[f494])).
% 21.08/2.95 fof(f545,plain,(
% 21.08/2.95 ![X0,X1]: (empty(powerset(sk0_1(X0)))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|sk0_20(powerset(sk0_1(X0)))=empty_set|~in(X1,sk0_20(powerset(sk0_1(X0))))|~subset(sk0_3(sk0_20(powerset(sk0_1(X0))),X0),X1)|X1=sk0_3(sk0_20(powerset(sk0_1(X0))),X0))),
% 21.08/2.95 inference(resolution,[status(thm)],[f161,f275])).
% 21.08/2.95 fof(f546,plain,(
% 21.08/2.95 ![X0,X1]: (in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|sk0_20(powerset(sk0_1(X0)))=empty_set|~in(X1,sk0_20(powerset(sk0_1(X0))))|~subset(sk0_3(sk0_20(powerset(sk0_1(X0))),X0),X1)|X1=sk0_3(sk0_20(powerset(sk0_1(X0))),X0))),
% 21.08/2.95 inference(forward_subsumption_resolution,[status(thm)],[f545,f209])).
% 21.08/2.95 fof(f549,plain,(
% 21.08/2.95 ![X0,X1]: (empty(powerset(sk0_2(X0)))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|sk0_20(powerset(sk0_2(X0)))=empty_set|~in(X1,sk0_20(powerset(sk0_2(X0))))|~subset(sk0_3(sk0_20(powerset(sk0_2(X0))),X0),X1)|X1=sk0_3(sk0_20(powerset(sk0_2(X0))),X0))),
% 21.08/2.95 inference(resolution,[status(thm)],[f161,f57])).
% 21.08/2.95 fof(f550,plain,(
% 21.08/2.95 ![X0,X1]: (in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|sk0_20(powerset(sk0_2(X0)))=empty_set|~in(X1,sk0_20(powerset(sk0_2(X0))))|~subset(sk0_3(sk0_20(powerset(sk0_2(X0))),X0),X1)|X1=sk0_3(sk0_20(powerset(sk0_2(X0))),X0))),
% 21.08/2.95 inference(forward_subsumption_resolution,[status(thm)],[f549,f209])).
% 21.08/2.95 fof(f555,plain,(
% 21.08/2.95 ![X0,X1]: (in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|sk0_21(powerset(sk0_1(X0)))=empty_set|~in(X1,sk0_21(powerset(sk0_1(X0))))|~subset(sk0_3(sk0_21(powerset(sk0_1(X0))),X0),X1)|X1=sk0_3(sk0_21(powerset(sk0_1(X0))),X0))),
% 21.08/2.95 inference(resolution,[status(thm)],[f164,f275])).
% 21.08/2.95 fof(f557,plain,(
% 21.08/2.95 ![X0,X1]: (in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|sk0_21(powerset(sk0_2(X0)))=empty_set|~in(X1,sk0_21(powerset(sk0_2(X0))))|~subset(sk0_3(sk0_21(powerset(sk0_2(X0))),X0),X1)|X1=sk0_3(sk0_21(powerset(sk0_2(X0))),X0))),
% 21.08/2.95 inference(resolution,[status(thm)],[f164,f57])).
% 21.08/2.95 fof(f692,plain,(
% 21.08/2.95 ![X0,X1]: (sk0_24(X0)=sk0_25(X0)|~ordinal(X0)|~in(X1,sk0_27(X0))|X1=sk0_29(X1,X0))),
% 21.08/2.95 inference(resolution,[status(thm)],[f231,f220])).
% 21.08/2.95 fof(f693,plain,(
% 21.08/2.95 ![X0,X1]: (sk0_24(X0)=sk0_25(X0)|~ordinal(X0)|~in(X1,sk0_27(X0))|sk0_28(X1,X0)=X1)),
% 21.08/2.95 inference(resolution,[status(thm)],[f231,f218])).
% 21.08/2.95 fof(f694,plain,(
% 21.08/2.95 ![X0,X1]: (sk0_24(X0)=sk0_25(X0)|~ordinal(X0)|~in(X1,sk0_27(X0))|in(sk0_28(X1,X0),succ(X0)))),
% 21.08/2.95 inference(resolution,[status(thm)],[f231,f217])).
% 21.08/2.95 fof(f695,plain,(
% 21.08/2.95 ![X0,X1]: (sk0_24(X0)=sk0_25(X0)|~ordinal(X0)|~in(X1,sk0_27(X0))|ordinal(sk0_29(X1,X0)))),
% 21.08/2.95 inference(resolution,[status(thm)],[f231,f219])).
% 21.08/2.95 fof(f700,plain,(
% 21.08/2.95 ![X0,X1]: (sk0_24(X0)=sk0_26(X0)|~ordinal(X0)|~in(X1,sk0_27(X0))|X1=sk0_29(X1,X0))),
% 21.08/2.95 inference(resolution,[status(thm)],[f236,f220])).
% 21.08/2.95 fof(f701,plain,(
% 21.08/2.95 ![X0,X1]: (sk0_24(X0)=sk0_26(X0)|~ordinal(X0)|~in(X1,sk0_27(X0))|sk0_28(X1,X0)=X1)),
% 21.08/2.95 inference(resolution,[status(thm)],[f236,f218])).
% 21.08/2.95 fof(f702,plain,(
% 21.08/2.95 ![X0,X1]: (sk0_24(X0)=sk0_26(X0)|~ordinal(X0)|~in(X1,sk0_27(X0))|in(sk0_28(X1,X0),succ(X0)))),
% 21.08/2.95 inference(resolution,[status(thm)],[f236,f217])).
% 21.08/2.95 fof(f703,plain,(
% 21.08/2.95 ![X0,X1]: (sk0_24(X0)=sk0_26(X0)|~ordinal(X0)|~in(X1,sk0_27(X0))|ordinal(sk0_29(X1,X0)))),
% 21.08/2.95 inference(resolution,[status(thm)],[f236,f219])).
% 21.08/2.95 fof(f704,plain,(
% 21.08/2.95 ![X0]: (sk0_24(X0)=sk0_26(X0)|~ordinal(X0)|ordinal(sk0_29(sk0_1(sk0_27(X0)),X0))|ordinal(sk0_2(sk0_27(X0))))),
% 21.08/2.95 inference(resolution,[status(thm)],[f703,f54])).
% 21.08/2.95 fof(f705,plain,(
% 21.08/2.95 ![X0]: (sk0_24(X0)=sk0_26(X0)|~ordinal(X0)|ordinal(sk0_2(sk0_27(X0)))|epsilon_connected(sk0_29(sk0_1(sk0_27(X0)),X0)))),
% 21.08/2.95 inference(resolution,[status(thm)],[f704,f195])).
% 21.08/2.95 fof(f706,plain,(
% 21.08/2.95 ![X0]: (sk0_24(X0)=sk0_26(X0)|~ordinal(X0)|ordinal(sk0_2(sk0_27(X0)))|epsilon_transitive(sk0_29(sk0_1(sk0_27(X0)),X0)))),
% 21.08/2.95 inference(resolution,[status(thm)],[f704,f194])).
% 21.08/2.95 fof(f710,plain,(
% 21.08/2.95 ![X0]: (sk0_24(X0)=sk0_26(X0)|~ordinal(X0)|sk0_1(sk0_27(X0))=sk0_29(sk0_1(sk0_27(X0)),X0)|ordinal(sk0_2(sk0_27(X0))))),
% 21.08/2.95 inference(resolution,[status(thm)],[f700,f54])).
% 21.08/2.95 fof(f712,plain,(
% 21.08/2.95 ![X0,X1]: (sk0_24(X0)=sk0_25(X0)|~ordinal(X0)|~in(X1,sk0_27(X0))|~in(succ(X0),sk0_28(X1,X0)))),
% 21.08/2.95 inference(resolution,[status(thm)],[f694,f173])).
% 21.08/2.95 fof(f713,plain,(
% 21.08/2.95 ![X0,X1]: (sk0_24(X0)=sk0_26(X0)|~ordinal(X0)|~in(X1,sk0_27(X0))|~in(succ(X0),sk0_28(X1,X0)))),
% 21.08/2.95 inference(resolution,[status(thm)],[f702,f173])).
% 21.08/2.95 fof(f714,plain,(
% 21.08/2.95 ![X0,X1]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|in(X1,omega)|sk0_24(X0)=sk0_26(X0))),
% 21.08/2.95 inference(resolution,[status(thm)],[f249,f236])).
% 21.08/2.95 fof(f715,plain,(
% 21.08/2.95 ![X0,X1]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|in(X1,omega)|sk0_24(X0)=sk0_25(X0))),
% 21.08/2.95 inference(resolution,[status(thm)],[f249,f231])).
% 21.08/2.95 fof(f716,plain,(
% 21.08/2.95 ![X0,X1]: (~ordinal(X0)|in(sk0_28(X1,X0),sk0_27(X0))|~ordinal(sk0_28(X1,X0))|in(sk0_28(X1,X0),omega)|sk0_24(X0)=sk0_26(X0)|sk0_24(X0)=sk0_26(X0)|~ordinal(X0)|~in(X1,sk0_27(X0)))),
% 21.08/2.95 inference(resolution,[status(thm)],[f714,f702])).
% 21.08/2.95 fof(f717,plain,(
% 21.08/2.95 ![X0,X1]: (~ordinal(X0)|in(sk0_28(X1,X0),sk0_27(X0))|~ordinal(sk0_28(X1,X0))|in(sk0_28(X1,X0),omega)|sk0_24(X0)=sk0_26(X0)|~in(X1,sk0_27(X0)))),
% 21.08/2.95 inference(duplicate_literals_removal,[status(esa)],[f716])).
% 21.08/2.95 fof(f720,plain,(
% 21.08/2.95 spl0_30 <=> in(sk0_1(X0),sk0_27(sk0_0))|~ordinal(sk0_1(X0))|in(sk0_1(X0),omega)|in(sk0_1(X0),X0)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f721,plain,(
% 21.08/2.95 ![X0]: (in(sk0_1(X0),sk0_27(sk0_0))|~ordinal(sk0_1(X0))|in(sk0_1(X0),omega)|in(sk0_1(X0),X0)|~spl0_30)),
% 21.08/2.95 inference(component_clause,[status(thm)],[f720])).
% 21.08/2.95 fof(f723,plain,(
% 21.08/2.95 spl0_31 <=> sk0_24(sk0_0)=sk0_26(sk0_0)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f724,plain,(
% 21.08/2.95 sk0_24(sk0_0)=sk0_26(sk0_0)|~spl0_31),
% 21.08/2.95 inference(component_clause,[status(thm)],[f723])).
% 21.08/2.95 fof(f726,plain,(
% 21.08/2.95 ![X0]: (~ordinal(sk0_0)|in(sk0_1(X0),sk0_27(sk0_0))|~ordinal(sk0_1(X0))|in(sk0_1(X0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|in(sk0_1(X0),X0))),
% 21.08/2.95 inference(resolution,[status(thm)],[f714,f53])).
% 21.08/2.95 fof(f727,plain,(
% 21.08/2.95 ~spl0_7|spl0_30|spl0_31),
% 21.08/2.95 inference(split_clause,[status(thm)],[f726,f354,f720,f723])).
% 21.08/2.95 fof(f729,plain,(
% 21.08/2.95 spl0_32 <=> ~ordinal(sk0_1(X0))|in(sk0_1(X0),omega)|in(sk0_1(X0),X0)|sk0_28(sk0_1(X0),sk0_0)=sk0_1(X0)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f732,plain,(
% 21.08/2.95 ![X0]: (~ordinal(sk0_1(X0))|in(sk0_1(X0),omega)|in(sk0_1(X0),X0)|sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|sk0_28(sk0_1(X0),sk0_0)=sk0_1(X0)|~spl0_30)),
% 21.08/2.95 inference(resolution,[status(thm)],[f721,f701])).
% 21.08/2.95 fof(f733,plain,(
% 21.08/2.95 spl0_32|spl0_31|~spl0_7|~spl0_30),
% 21.08/2.95 inference(split_clause,[status(thm)],[f732,f729,f723,f354,f720])).
% 21.08/2.95 fof(f734,plain,(
% 21.08/2.95 spl0_33 <=> ~ordinal(sk0_1(X0))|in(sk0_1(X0),omega)|in(sk0_1(X0),X0)|sk0_1(X0)=sk0_29(sk0_1(X0),sk0_0)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f737,plain,(
% 21.08/2.95 ![X0]: (~ordinal(sk0_1(X0))|in(sk0_1(X0),omega)|in(sk0_1(X0),X0)|sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|sk0_1(X0)=sk0_29(sk0_1(X0),sk0_0)|~spl0_30)),
% 21.08/2.95 inference(resolution,[status(thm)],[f721,f700])).
% 21.08/2.95 fof(f738,plain,(
% 21.08/2.95 spl0_33|spl0_31|~spl0_7|~spl0_30),
% 21.08/2.95 inference(split_clause,[status(thm)],[f737,f734,f723,f354,f720])).
% 21.08/2.95 fof(f739,plain,(
% 21.08/2.95 spl0_34 <=> sk0_24(sk0_0)=sk0_25(sk0_0)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f740,plain,(
% 21.08/2.95 sk0_24(sk0_0)=sk0_25(sk0_0)|~spl0_34),
% 21.08/2.95 inference(component_clause,[status(thm)],[f739])).
% 21.08/2.95 fof(f742,plain,(
% 21.08/2.95 ![X0]: (~ordinal(sk0_1(X0))|in(sk0_1(X0),omega)|in(sk0_1(X0),X0)|sk0_24(sk0_0)=sk0_25(sk0_0)|~ordinal(sk0_0)|sk0_28(sk0_1(X0),sk0_0)=sk0_1(X0)|~spl0_30)),
% 21.08/2.95 inference(resolution,[status(thm)],[f721,f693])).
% 21.08/2.95 fof(f743,plain,(
% 21.08/2.95 spl0_32|spl0_34|~spl0_7|~spl0_30),
% 21.08/2.95 inference(split_clause,[status(thm)],[f742,f729,f739,f354,f720])).
% 21.08/2.95 fof(f744,plain,(
% 21.08/2.95 ![X0]: (~ordinal(sk0_1(X0))|in(sk0_1(X0),omega)|in(sk0_1(X0),X0)|sk0_24(sk0_0)=sk0_25(sk0_0)|~ordinal(sk0_0)|sk0_1(X0)=sk0_29(sk0_1(X0),sk0_0)|~spl0_30)),
% 21.08/2.95 inference(resolution,[status(thm)],[f721,f692])).
% 21.08/2.95 fof(f745,plain,(
% 21.08/2.95 spl0_33|spl0_34|~spl0_7|~spl0_30),
% 21.08/2.95 inference(split_clause,[status(thm)],[f744,f734,f739,f354,f720])).
% 21.08/2.95 fof(f746,plain,(
% 21.08/2.95 spl0_35 <=> ~ordinal(sk0_1(X0))|in(sk0_1(X0),omega)|in(sk0_1(X0),X0)|ordinal(sk0_29(sk0_1(X0),sk0_0))),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f749,plain,(
% 21.08/2.95 ![X0]: (~ordinal(sk0_1(X0))|in(sk0_1(X0),omega)|in(sk0_1(X0),X0)|sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|ordinal(sk0_29(sk0_1(X0),sk0_0))|~spl0_30)),
% 21.08/2.95 inference(resolution,[status(thm)],[f721,f703])).
% 21.08/2.95 fof(f750,plain,(
% 21.08/2.95 spl0_35|spl0_31|~spl0_7|~spl0_30),
% 21.08/2.95 inference(split_clause,[status(thm)],[f749,f746,f723,f354,f720])).
% 21.08/2.95 fof(f751,plain,(
% 21.08/2.95 ![X0]: (~ordinal(sk0_1(X0))|in(sk0_1(X0),omega)|in(sk0_1(X0),X0)|sk0_24(sk0_0)=sk0_25(sk0_0)|~ordinal(sk0_0)|ordinal(sk0_29(sk0_1(X0),sk0_0))|~spl0_30)),
% 21.08/2.95 inference(resolution,[status(thm)],[f721,f695])).
% 21.08/2.95 fof(f752,plain,(
% 21.08/2.95 spl0_35|spl0_34|~spl0_7|~spl0_30),
% 21.08/2.95 inference(split_clause,[status(thm)],[f751,f746,f739,f354,f720])).
% 21.08/2.95 fof(f767,plain,(
% 21.08/2.95 spl0_36 <=> pd0_0(sk0_24(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f768,plain,(
% 21.08/2.95 pd0_0(sk0_24(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~spl0_36),
% 21.08/2.95 inference(component_clause,[status(thm)],[f767])).
% 21.08/2.95 fof(f770,plain,(
% 21.08/2.95 spl0_37 <=> in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|in(X0,omega)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f771,plain,(
% 21.08/2.95 ![X0]: (in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|in(X0,omega)|~spl0_37)),
% 21.08/2.95 inference(component_clause,[status(thm)],[f770])).
% 21.08/2.95 fof(f773,plain,(
% 21.08/2.95 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_24(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|in(X0,omega)|~spl0_31)),
% 21.08/2.95 inference(paramodulation,[status(thm)],[f724,f249])).
% 21.08/2.95 fof(f774,plain,(
% 21.08/2.95 ~spl0_7|spl0_36|spl0_37|~spl0_31),
% 21.08/2.95 inference(split_clause,[status(thm)],[f773,f354,f767,f770,f723])).
% 21.08/2.95 fof(f775,plain,(
% 21.08/2.95 spl0_38 <=> ~in(X0,sk0_27(sk0_0))|X0=sk0_29(X0,sk0_0)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f776,plain,(
% 21.08/2.95 ![X0]: (~in(X0,sk0_27(sk0_0))|X0=sk0_29(X0,sk0_0)|~spl0_38)),
% 21.08/2.95 inference(component_clause,[status(thm)],[f775])).
% 21.08/2.95 fof(f778,plain,(
% 21.08/2.95 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_24(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(X0,sk0_27(sk0_0))|X0=sk0_29(X0,sk0_0)|~spl0_31)),
% 21.08/2.95 inference(paramodulation,[status(thm)],[f724,f220])).
% 21.08/2.95 fof(f779,plain,(
% 21.08/2.95 ~spl0_7|spl0_36|spl0_38|~spl0_31),
% 21.08/2.95 inference(split_clause,[status(thm)],[f778,f354,f767,f775,f723])).
% 21.08/2.95 fof(f780,plain,(
% 21.08/2.95 spl0_39 <=> ~in(X0,sk0_27(sk0_0))|sk0_28(X0,sk0_0)=X0),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f781,plain,(
% 21.08/2.95 ![X0]: (~in(X0,sk0_27(sk0_0))|sk0_28(X0,sk0_0)=X0|~spl0_39)),
% 21.08/2.95 inference(component_clause,[status(thm)],[f780])).
% 21.08/2.95 fof(f783,plain,(
% 21.08/2.95 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_24(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(X0,sk0_27(sk0_0))|sk0_28(X0,sk0_0)=X0|~spl0_31)),
% 21.08/2.95 inference(paramodulation,[status(thm)],[f724,f218])).
% 21.08/2.95 fof(f784,plain,(
% 21.08/2.95 ~spl0_7|spl0_36|spl0_39|~spl0_31),
% 21.08/2.95 inference(split_clause,[status(thm)],[f783,f354,f767,f780,f723])).
% 21.08/2.95 fof(f785,plain,(
% 21.08/2.95 spl0_40 <=> ~in(X0,sk0_27(sk0_0))|in(sk0_28(X0,sk0_0),succ(sk0_0))),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f786,plain,(
% 21.08/2.95 ![X0]: (~in(X0,sk0_27(sk0_0))|in(sk0_28(X0,sk0_0),succ(sk0_0))|~spl0_40)),
% 21.08/2.95 inference(component_clause,[status(thm)],[f785])).
% 21.08/2.95 fof(f788,plain,(
% 21.08/2.95 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_24(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(X0,sk0_27(sk0_0))|in(sk0_28(X0,sk0_0),succ(sk0_0))|~spl0_31)),
% 21.08/2.95 inference(paramodulation,[status(thm)],[f724,f217])).
% 21.08/2.95 fof(f789,plain,(
% 21.08/2.95 ~spl0_7|spl0_36|spl0_40|~spl0_31),
% 21.08/2.95 inference(split_clause,[status(thm)],[f788,f354,f767,f785,f723])).
% 21.08/2.95 fof(f790,plain,(
% 21.08/2.95 spl0_41 <=> ~in(X0,sk0_27(sk0_0))|ordinal(sk0_29(X0,sk0_0))),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f791,plain,(
% 21.08/2.95 ![X0]: (~in(X0,sk0_27(sk0_0))|ordinal(sk0_29(X0,sk0_0))|~spl0_41)),
% 21.08/2.95 inference(component_clause,[status(thm)],[f790])).
% 21.08/2.95 fof(f793,plain,(
% 21.08/2.95 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_24(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(X0,sk0_27(sk0_0))|ordinal(sk0_29(X0,sk0_0))|~spl0_31)),
% 21.08/2.95 inference(paramodulation,[status(thm)],[f724,f219])).
% 21.08/2.95 fof(f794,plain,(
% 21.08/2.95 ~spl0_7|spl0_36|spl0_41|~spl0_31),
% 21.08/2.95 inference(split_clause,[status(thm)],[f793,f354,f767,f790,f723])).
% 21.08/2.95 fof(f795,plain,(
% 21.08/2.95 pd0_0(sk0_24(sk0_0),sk0_24(sk0_0),sk0_24(sk0_0))|~spl0_34|~spl0_36),
% 21.08/2.95 inference(forward_demodulation,[status(thm)],[f740,f768])).
% 21.08/2.95 fof(f796,plain,(
% 21.08/2.95 $false|~spl0_34|~spl0_36),
% 21.08/2.95 inference(forward_subsumption_resolution,[status(thm)],[f795,f255])).
% 21.08/2.95 fof(f797,plain,(
% 21.08/2.95 ~spl0_34|~spl0_36),
% 21.08/2.95 inference(contradiction_clause,[status(thm)],[f796])).
% 21.08/2.95 fof(f800,plain,(
% 21.08/2.95 sk0_24(sk0_0)=sk0_25(sk0_0)|~spl0_36),
% 21.08/2.95 inference(resolution,[status(thm)],[f768,f231])).
% 21.08/2.95 fof(f801,plain,(
% 21.08/2.95 spl0_34|~spl0_36),
% 21.08/2.95 inference(split_clause,[status(thm)],[f800,f739,f767])).
% 21.08/2.95 fof(f802,plain,(
% 21.08/2.95 in(sk0_1(succ(sk0_0)),succ(sk0_0))|spl0_0),
% 21.08/2.95 inference(resolution,[status(thm)],[f260,f53])).
% 21.08/2.95 fof(f803,plain,(
% 21.08/2.95 $false|spl0_0),
% 21.08/2.95 inference(forward_subsumption_resolution,[status(thm)],[f802,f260])).
% 21.08/2.95 fof(f804,plain,(
% 21.08/2.95 spl0_0),
% 21.08/2.95 inference(contradiction_clause,[status(thm)],[f803])).
% 21.08/2.95 fof(f844,plain,(
% 21.08/2.95 spl0_44 <=> sk0_1(sk0_27(sk0_0))=sk0_29(sk0_1(sk0_27(sk0_0)),sk0_0)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f845,plain,(
% 21.08/2.95 sk0_1(sk0_27(sk0_0))=sk0_29(sk0_1(sk0_27(sk0_0)),sk0_0)|~spl0_44),
% 21.08/2.95 inference(component_clause,[status(thm)],[f844])).
% 21.08/2.95 fof(f846,plain,(
% 21.08/2.95 ~sk0_1(sk0_27(sk0_0))=sk0_29(sk0_1(sk0_27(sk0_0)),sk0_0)|spl0_44),
% 21.08/2.95 inference(component_clause,[status(thm)],[f844])).
% 21.08/2.95 fof(f847,plain,(
% 21.08/2.95 spl0_45 <=> ordinal(sk0_2(sk0_27(sk0_0)))),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f848,plain,(
% 21.08/2.95 ordinal(sk0_2(sk0_27(sk0_0)))|~spl0_45),
% 21.08/2.95 inference(component_clause,[status(thm)],[f847])).
% 21.08/2.95 fof(f850,plain,(
% 21.08/2.95 sk0_1(sk0_27(sk0_0))=sk0_29(sk0_1(sk0_27(sk0_0)),sk0_0)|ordinal(sk0_2(sk0_27(sk0_0)))|~spl0_38),
% 21.08/2.95 inference(resolution,[status(thm)],[f776,f54])).
% 21.08/2.95 fof(f851,plain,(
% 21.08/2.95 spl0_44|spl0_45|~spl0_38),
% 21.08/2.95 inference(split_clause,[status(thm)],[f850,f844,f847,f775])).
% 21.08/2.95 fof(f852,plain,(
% 21.08/2.95 spl0_46 <=> sk0_1(sk0_27(sk0_0))=sk0_1(sk0_27(sk0_0))),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f859,plain,(
% 21.08/2.95 spl0_47 <=> epsilon_transitive(sk0_1(sk0_27(sk0_0)))),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f861,plain,(
% 21.08/2.95 ~epsilon_transitive(sk0_1(sk0_27(sk0_0)))|spl0_47),
% 21.08/2.95 inference(component_clause,[status(thm)],[f859])).
% 21.08/2.95 fof(f862,plain,(
% 21.08/2.95 sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|ordinal(sk0_2(sk0_27(sk0_0)))|epsilon_transitive(sk0_1(sk0_27(sk0_0)))|~spl0_44),
% 21.08/2.95 inference(paramodulation,[status(thm)],[f845,f706])).
% 21.08/2.95 fof(f863,plain,(
% 21.08/2.95 spl0_31|~spl0_7|spl0_45|spl0_47|~spl0_44),
% 21.08/2.95 inference(split_clause,[status(thm)],[f862,f723,f354,f847,f859,f844])).
% 21.08/2.95 fof(f864,plain,(
% 21.08/2.95 spl0_48 <=> epsilon_connected(sk0_1(sk0_27(sk0_0)))),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f865,plain,(
% 21.08/2.95 epsilon_connected(sk0_1(sk0_27(sk0_0)))|~spl0_48),
% 21.08/2.95 inference(component_clause,[status(thm)],[f864])).
% 21.08/2.95 fof(f867,plain,(
% 21.08/2.95 sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|ordinal(sk0_2(sk0_27(sk0_0)))|epsilon_connected(sk0_1(sk0_27(sk0_0)))|~spl0_44),
% 21.08/2.95 inference(paramodulation,[status(thm)],[f845,f705])).
% 21.08/2.95 fof(f868,plain,(
% 21.08/2.95 spl0_31|~spl0_7|spl0_45|spl0_48|~spl0_44),
% 21.08/2.95 inference(split_clause,[status(thm)],[f867,f723,f354,f847,f864,f844])).
% 21.08/2.95 fof(f869,plain,(
% 21.08/2.95 spl0_49 <=> ordinal(sk0_1(sk0_27(sk0_0)))),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f870,plain,(
% 21.08/2.95 ordinal(sk0_1(sk0_27(sk0_0)))|~spl0_49),
% 21.08/2.95 inference(component_clause,[status(thm)],[f869])).
% 21.08/2.95 fof(f880,plain,(
% 21.08/2.95 spl0_50 <=> in(sk0_1(sk0_27(sk0_0)),omega)),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f881,plain,(
% 21.08/2.95 in(sk0_1(sk0_27(sk0_0)),omega)|~spl0_50),
% 21.08/2.95 inference(component_clause,[status(thm)],[f880])).
% 21.08/2.95 fof(f883,plain,(
% 21.08/2.95 spl0_51 <=> in(sk0_1(sk0_27(sk0_0)),sk0_27(sk0_0))),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f884,plain,(
% 21.08/2.95 in(sk0_1(sk0_27(sk0_0)),sk0_27(sk0_0))|~spl0_51),
% 21.08/2.95 inference(component_clause,[status(thm)],[f883])).
% 21.08/2.95 fof(f885,plain,(
% 21.08/2.95 ~in(sk0_1(sk0_27(sk0_0)),sk0_27(sk0_0))|spl0_51),
% 21.08/2.95 inference(component_clause,[status(thm)],[f883])).
% 21.08/2.95 fof(f896,plain,(
% 21.08/2.95 ordinal(sk0_1(sk0_27(sk0_0)))|in(sk0_1(sk0_27(sk0_0)),sk0_27(sk0_0))|~spl0_45),
% 21.08/2.95 inference(paramodulation,[status(thm)],[f55,f848])).
% 21.08/2.95 fof(f897,plain,(
% 21.08/2.95 spl0_49|spl0_51|~spl0_45),
% 21.08/2.95 inference(split_clause,[status(thm)],[f896,f869,f883,f847])).
% 21.08/2.95 fof(f898,plain,(
% 21.08/2.95 spl0_52 <=> pd0_0(sk0_26(sk0_0),sk0_24(sk0_0),sk0_24(sk0_0))),
% 21.08/2.95 introduced(split_symbol_definition)).
% 21.08/2.95 fof(f899,plain,(
% 21.08/2.95 pd0_0(sk0_26(sk0_0),sk0_24(sk0_0),sk0_24(sk0_0))|~spl0_52),
% 21.08/2.95 inference(component_clause,[status(thm)],[f898])).
% 21.08/2.95 fof(f901,plain,(
% 21.08/2.95 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_24(sk0_0),sk0_24(sk0_0))|in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|in(X0,omega)|~spl0_34)),
% 21.08/2.95 inference(paramodulation,[status(thm)],[f740,f249])).
% 21.08/2.95 fof(f902,plain,(
% 21.08/2.95 ~spl0_7|spl0_52|spl0_37|~spl0_34),
% 21.08/2.95 inference(split_clause,[status(thm)],[f901,f354,f898,f770,f739])).
% 21.08/2.95 fof(f903,plain,(
% 21.08/2.95 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_24(sk0_0),sk0_24(sk0_0))|~in(X0,sk0_27(sk0_0))|X0=sk0_29(X0,sk0_0)|~spl0_34)),
% 21.08/2.95 inference(paramodulation,[status(thm)],[f740,f220])).
% 21.08/2.95 fof(f904,plain,(
% 21.13/2.95 ~spl0_7|spl0_52|spl0_38|~spl0_34),
% 21.13/2.95 inference(split_clause,[status(thm)],[f903,f354,f898,f775,f739])).
% 21.13/2.95 fof(f907,plain,(
% 21.13/2.95 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_24(sk0_0),sk0_24(sk0_0))|~in(X0,sk0_27(sk0_0))|in(sk0_28(X0,sk0_0),succ(sk0_0))|~spl0_34)),
% 21.13/2.95 inference(paramodulation,[status(thm)],[f740,f217])).
% 21.13/2.95 fof(f908,plain,(
% 21.13/2.95 ~spl0_7|spl0_52|spl0_40|~spl0_34),
% 21.13/2.95 inference(split_clause,[status(thm)],[f907,f354,f898,f785,f739])).
% 21.13/2.95 fof(f911,plain,(
% 21.13/2.95 pd0_0(sk0_24(sk0_0),sk0_24(sk0_0),sk0_24(sk0_0))|~spl0_31|~spl0_52),
% 21.13/2.95 inference(forward_demodulation,[status(thm)],[f724,f899])).
% 21.13/2.95 fof(f912,plain,(
% 21.13/2.95 $false|~spl0_31|~spl0_52),
% 21.13/2.95 inference(forward_subsumption_resolution,[status(thm)],[f911,f255])).
% 21.13/2.95 fof(f913,plain,(
% 21.13/2.95 ~spl0_31|~spl0_52),
% 21.13/2.95 inference(contradiction_clause,[status(thm)],[f912])).
% 21.13/2.95 fof(f937,plain,(
% 21.13/2.95 spl0_54 <=> sk0_28(sk0_1(sk0_27(sk0_0)),sk0_0)=sk0_1(sk0_27(sk0_0))),
% 21.13/2.95 introduced(split_symbol_definition)).
% 21.13/2.95 fof(f938,plain,(
% 21.13/2.95 sk0_28(sk0_1(sk0_27(sk0_0)),sk0_0)=sk0_1(sk0_27(sk0_0))|~spl0_54),
% 21.13/2.95 inference(component_clause,[status(thm)],[f937])).
% 21.13/2.95 fof(f940,plain,(
% 21.13/2.95 sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|sk0_28(sk0_1(sk0_27(sk0_0)),sk0_0)=sk0_1(sk0_27(sk0_0))|~spl0_51),
% 21.13/2.95 inference(resolution,[status(thm)],[f884,f701])).
% 21.13/2.95 fof(f941,plain,(
% 21.13/2.95 spl0_31|~spl0_7|spl0_54|~spl0_51),
% 21.13/2.95 inference(split_clause,[status(thm)],[f940,f723,f354,f937,f883])).
% 21.13/2.95 fof(f942,plain,(
% 21.13/2.95 sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|sk0_1(sk0_27(sk0_0))=sk0_29(sk0_1(sk0_27(sk0_0)),sk0_0)|~spl0_51),
% 21.13/2.95 inference(resolution,[status(thm)],[f884,f700])).
% 21.13/2.95 fof(f943,plain,(
% 21.13/2.95 spl0_31|~spl0_7|spl0_44|~spl0_51),
% 21.13/2.95 inference(split_clause,[status(thm)],[f942,f723,f354,f844,f883])).
% 21.13/2.95 fof(f944,plain,(
% 21.13/2.95 sk0_24(sk0_0)=sk0_25(sk0_0)|~ordinal(sk0_0)|sk0_28(sk0_1(sk0_27(sk0_0)),sk0_0)=sk0_1(sk0_27(sk0_0))|~spl0_51),
% 21.13/2.95 inference(resolution,[status(thm)],[f884,f693])).
% 21.13/2.95 fof(f945,plain,(
% 21.13/2.95 spl0_34|~spl0_7|spl0_54|~spl0_51),
% 21.13/2.95 inference(split_clause,[status(thm)],[f944,f739,f354,f937,f883])).
% 21.13/2.95 fof(f946,plain,(
% 21.13/2.95 sk0_24(sk0_0)=sk0_25(sk0_0)|~ordinal(sk0_0)|sk0_1(sk0_27(sk0_0))=sk0_29(sk0_1(sk0_27(sk0_0)),sk0_0)|~spl0_51),
% 21.13/2.95 inference(resolution,[status(thm)],[f884,f692])).
% 21.13/2.95 fof(f947,plain,(
% 21.13/2.95 spl0_34|~spl0_7|spl0_44|~spl0_51),
% 21.13/2.95 inference(split_clause,[status(thm)],[f946,f739,f354,f844,f883])).
% 21.13/2.95 fof(f948,plain,(
% 21.13/2.95 spl0_55 <=> ordinal(sk0_29(sk0_1(sk0_27(sk0_0)),sk0_0))),
% 21.13/2.95 introduced(split_symbol_definition)).
% 21.13/2.95 fof(f949,plain,(
% 21.13/2.95 ordinal(sk0_29(sk0_1(sk0_27(sk0_0)),sk0_0))|~spl0_55),
% 21.13/2.95 inference(component_clause,[status(thm)],[f948])).
% 21.13/2.95 fof(f950,plain,(
% 21.13/2.95 ~ordinal(sk0_29(sk0_1(sk0_27(sk0_0)),sk0_0))|spl0_55),
% 21.13/2.95 inference(component_clause,[status(thm)],[f948])).
% 21.13/2.95 fof(f951,plain,(
% 21.13/2.95 sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|ordinal(sk0_29(sk0_1(sk0_27(sk0_0)),sk0_0))|~spl0_51),
% 21.13/2.95 inference(resolution,[status(thm)],[f884,f703])).
% 21.13/2.95 fof(f952,plain,(
% 21.13/2.95 spl0_31|~spl0_7|spl0_55|~spl0_51),
% 21.13/2.95 inference(split_clause,[status(thm)],[f951,f723,f354,f948,f883])).
% 21.13/2.95 fof(f956,plain,(
% 21.13/2.95 ordinal(sk0_1(sk0_27(sk0_0)))|~spl0_44|~spl0_55),
% 21.13/2.95 inference(forward_demodulation,[status(thm)],[f845,f949])).
% 21.13/2.95 fof(f957,plain,(
% 21.13/2.95 epsilon_connected(sk0_1(sk0_27(sk0_0)))|~spl0_44|~spl0_55),
% 21.13/2.95 inference(resolution,[status(thm)],[f956,f195])).
% 21.13/2.95 fof(f958,plain,(
% 21.13/2.95 epsilon_transitive(sk0_1(sk0_27(sk0_0)))|~spl0_44|~spl0_55),
% 21.13/2.95 inference(resolution,[status(thm)],[f956,f194])).
% 21.13/2.95 fof(f970,plain,(
% 21.13/2.95 spl0_57 <=> in(sk0_1(sk0_27(sk0_0)),succ(sk0_0))),
% 21.13/2.95 introduced(split_symbol_definition)).
% 21.13/2.95 fof(f971,plain,(
% 21.13/2.95 in(sk0_1(sk0_27(sk0_0)),succ(sk0_0))|~spl0_57),
% 21.13/2.95 inference(component_clause,[status(thm)],[f970])).
% 21.13/2.95 fof(f973,plain,(
% 21.13/2.95 sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|~in(sk0_1(sk0_27(sk0_0)),sk0_27(sk0_0))|in(sk0_1(sk0_27(sk0_0)),succ(sk0_0))|~spl0_54),
% 21.13/2.95 inference(paramodulation,[status(thm)],[f938,f702])).
% 21.13/2.95 fof(f974,plain,(
% 21.13/2.95 spl0_31|~spl0_7|~spl0_51|spl0_57|~spl0_54),
% 21.13/2.95 inference(split_clause,[status(thm)],[f973,f723,f354,f883,f970,f937])).
% 21.13/2.95 fof(f977,plain,(
% 21.13/2.95 sk0_24(sk0_0)=sk0_25(sk0_0)|~ordinal(sk0_0)|~in(sk0_1(sk0_27(sk0_0)),sk0_27(sk0_0))|in(sk0_1(sk0_27(sk0_0)),succ(sk0_0))|~spl0_54),
% 21.13/2.95 inference(paramodulation,[status(thm)],[f938,f694])).
% 21.13/2.96 fof(f978,plain,(
% 21.13/2.96 spl0_34|~spl0_7|~spl0_51|spl0_57|~spl0_54),
% 21.13/2.96 inference(split_clause,[status(thm)],[f977,f739,f354,f883,f970,f937])).
% 21.13/2.96 fof(f985,plain,(
% 21.13/2.96 ~epsilon_transitive(sk0_1(sk0_27(sk0_0)))|ordinal(sk0_1(sk0_27(sk0_0)))|~spl0_44|~spl0_55),
% 21.13/2.96 inference(resolution,[status(thm)],[f957,f137])).
% 21.13/2.96 fof(f986,plain,(
% 21.13/2.96 ~spl0_47|spl0_49|~spl0_44|~spl0_55),
% 21.13/2.96 inference(split_clause,[status(thm)],[f985,f859,f869,f844,f948])).
% 21.13/2.96 fof(f987,plain,(
% 21.13/2.96 $false|~spl0_44|~spl0_55|spl0_47),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f861,f958])).
% 21.13/2.96 fof(f988,plain,(
% 21.13/2.96 ~spl0_44|~spl0_55|spl0_47),
% 21.13/2.96 inference(contradiction_clause,[status(thm)],[f987])).
% 21.13/2.96 fof(f1015,plain,(
% 21.13/2.96 ~in(sk0_1(sk0_27(sk0_0)),sk0_27(sk0_0))|~ordinal(sk0_1(sk0_27(sk0_0)))|in(sk0_1(sk0_27(sk0_0)),omega)|~spl0_57),
% 21.13/2.96 inference(resolution,[status(thm)],[f971,f242])).
% 21.13/2.96 fof(f1016,plain,(
% 21.13/2.96 ~spl0_51|~spl0_49|spl0_50|~spl0_57),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1015,f883,f869,f880,f970])).
% 21.13/2.96 fof(f1026,plain,(
% 21.13/2.96 sk0_28(sk0_1(sk0_27(sk0_0)),sk0_0)=sk0_1(sk0_27(sk0_0))|ordinal(sk0_2(sk0_27(sk0_0)))|~spl0_39),
% 21.13/2.96 inference(resolution,[status(thm)],[f781,f54])).
% 21.13/2.96 fof(f1027,plain,(
% 21.13/2.96 spl0_54|spl0_45|~spl0_39),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1026,f937,f847,f780])).
% 21.13/2.96 fof(f1029,plain,(
% 21.13/2.96 ~epsilon_transitive(sk0_1(sk0_27(sk0_0)))|ordinal(sk0_1(sk0_27(sk0_0)))|~spl0_48),
% 21.13/2.96 inference(resolution,[status(thm)],[f865,f137])).
% 21.13/2.96 fof(f1030,plain,(
% 21.13/2.96 ~spl0_47|spl0_49|~spl0_48),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1029,f859,f869,f864])).
% 21.13/2.96 fof(f1031,plain,(
% 21.13/2.96 ~ordinal(sk0_1(sk0_27(sk0_0)))|in(sk0_1(sk0_27(sk0_0)),omega)|in(sk0_1(sk0_27(sk0_0)),sk0_27(sk0_0))|spl0_51|~spl0_30),
% 21.13/2.96 inference(resolution,[status(thm)],[f885,f721])).
% 21.13/2.96 fof(f1032,plain,(
% 21.13/2.96 ~spl0_49|spl0_50|spl0_51|~spl0_30),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1031,f869,f880,f883,f720])).
% 21.13/2.96 fof(f1039,plain,(
% 21.13/2.96 ordinal(sk0_29(sk0_1(sk0_27(sk0_0)),sk0_0))|ordinal(sk0_2(sk0_27(sk0_0)))|~spl0_41),
% 21.13/2.96 inference(resolution,[status(thm)],[f791,f54])).
% 21.13/2.96 fof(f1040,plain,(
% 21.13/2.96 spl0_55|spl0_45|~spl0_41),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1039,f948,f847,f790])).
% 21.13/2.96 fof(f1042,plain,(
% 21.13/2.96 ordinal(sk0_29(sk0_1(sk0_27(sk0_0)),sk0_0))|~spl0_51|~spl0_41),
% 21.13/2.96 inference(resolution,[status(thm)],[f884,f791])).
% 21.13/2.96 fof(f1042,plain,(
% 21.13/2.96 ordinal(sk0_29(sk0_1(sk0_27(sk0_0)),sk0_0))|~spl0_51|~spl0_41),
% 21.13/2.96 inference(resolution,[status(thm)],[f884,f791])).
% 21.13/2.96 fof(f1043,plain,(
% 21.13/2.96 sk0_28(sk0_1(sk0_27(sk0_0)),sk0_0)=sk0_1(sk0_27(sk0_0))|~spl0_51|~spl0_39),
% 21.13/2.96 inference(resolution,[status(thm)],[f884,f781])).
% 21.13/2.96 fof(f1044,plain,(
% 21.13/2.96 sk0_1(sk0_27(sk0_0))=sk0_29(sk0_1(sk0_27(sk0_0)),sk0_0)|~spl0_51|~spl0_38),
% 21.13/2.96 inference(resolution,[status(thm)],[f884,f776])).
% 21.13/2.96 fof(f1060,plain,(
% 21.13/2.96 spl0_66 <=> ~in(X0,sk0_27(sk0_0))|in(sk0_28(X0,sk0_0),sk0_27(sk0_0))|~ordinal(sk0_28(X0,sk0_0))|in(sk0_28(X0,sk0_0),omega)),
% 21.13/2.96 introduced(split_symbol_definition)).
% 21.13/2.96 fof(f1063,plain,(
% 21.13/2.96 ![X0]: (~in(X0,sk0_27(sk0_0))|~ordinal(sk0_0)|in(sk0_28(X0,sk0_0),sk0_27(sk0_0))|~ordinal(sk0_28(X0,sk0_0))|in(sk0_28(X0,sk0_0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~spl0_40)),
% 21.13/2.96 inference(resolution,[status(thm)],[f786,f714])).
% 21.13/2.96 fof(f1064,plain,(
% 21.13/2.96 spl0_66|~spl0_7|spl0_31|~spl0_40),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1063,f1060,f354,f723,f785])).
% 21.13/2.96 fof(f1066,plain,(
% 21.13/2.96 ~in(sk0_1(sk0_27(sk0_0)),sk0_27(sk0_0))|in(sk0_1(sk0_27(sk0_0)),succ(sk0_0))|~spl0_40|~spl0_54),
% 21.13/2.96 inference(paramodulation,[status(thm)],[f938,f786])).
% 21.13/2.96 fof(f1067,plain,(
% 21.13/2.96 ~spl0_51|spl0_57|~spl0_40|~spl0_54),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1066,f883,f970,f785,f937])).
% 21.13/2.96 fof(f1070,plain,(
% 21.13/2.96 ![X0]: (in(sk0_28(X0,sk0_0),sk0_27(sk0_0))|~ordinal(sk0_28(X0,sk0_0))|in(sk0_28(X0,sk0_0),omega)|~in(X0,sk0_27(sk0_0))|~spl0_37|~spl0_40)),
% 21.13/2.96 inference(resolution,[status(thm)],[f771,f786])).
% 21.13/2.96 fof(f1071,plain,(
% 21.13/2.96 ![X0]: (in(sk0_28(X0,sk0_0),sk0_27(sk0_0))|~ordinal(sk0_28(X0,sk0_0))|in(sk0_28(X0,sk0_0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|~in(X0,sk0_27(sk0_0))|~spl0_37)),
% 21.13/2.96 inference(resolution,[status(thm)],[f771,f702])).
% 21.13/2.96 fof(f1072,plain,(
% 21.13/2.96 spl0_66|spl0_31|~spl0_7|~spl0_37),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1071,f1060,f723,f354,f770])).
% 21.13/2.96 fof(f1081,plain,(
% 21.13/2.96 spl0_54|~spl0_51|~spl0_39),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1043,f937,f883,f780])).
% 21.13/2.96 fof(f1083,plain,(
% 21.13/2.96 spl0_44|~spl0_51|~spl0_38),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1044,f844,f883,f775])).
% 21.13/2.96 fof(f1176,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_21(powerset(sk0_29(X1,X0)))=empty_set|in(sk0_30(sk0_21(powerset(sk0_29(X1,X0))),X1,X0),sk0_21(powerset(sk0_29(X1,X0)))))),
% 21.13/2.96 inference(resolution,[status(thm)],[f221,f164])).
% 21.13/2.96 fof(f1177,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_20(powerset(sk0_29(X1,X0)))=empty_set|in(sk0_30(sk0_20(powerset(sk0_29(X1,X0))),X1,X0),sk0_20(powerset(sk0_29(X1,X0))))|empty(powerset(sk0_29(X1,X0))))),
% 21.13/2.96 inference(resolution,[status(thm)],[f221,f161])).
% 21.13/2.96 fof(f1178,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_20(powerset(sk0_29(X1,X0)))=empty_set|in(sk0_30(sk0_20(powerset(sk0_29(X1,X0))),X1,X0),sk0_20(powerset(sk0_29(X1,X0)))))),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f1177,f209])).
% 21.13/2.96 fof(f1179,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_8(powerset(sk0_29(X1,X0)))=empty_set|in(sk0_30(sk0_8(powerset(sk0_29(X1,X0))),X1,X0),sk0_8(powerset(sk0_29(X1,X0))))|empty(powerset(sk0_29(X1,X0))))),
% 21.13/2.96 inference(resolution,[status(thm)],[f221,f80])).
% 21.13/2.96 fof(f1180,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_8(powerset(sk0_29(X1,X0)))=empty_set|in(sk0_30(sk0_8(powerset(sk0_29(X1,X0))),X1,X0),sk0_8(powerset(sk0_29(X1,X0)))))),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f1179,f209])).
% 21.13/2.96 fof(f1181,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_7(powerset(sk0_29(X1,X0)))=empty_set|in(sk0_30(sk0_7(powerset(sk0_29(X1,X0))),X1,X0),sk0_7(powerset(sk0_29(X1,X0)))))),
% 21.13/2.96 inference(resolution,[status(thm)],[f221,f68])).
% 21.13/2.96 fof(f1182,plain,(
% 21.13/2.96 spl0_67 <=> pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))),
% 21.13/2.96 introduced(split_symbol_definition)).
% 21.13/2.96 fof(f1183,plain,(
% 21.13/2.96 pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~spl0_67),
% 21.13/2.96 inference(component_clause,[status(thm)],[f1182])).
% 21.13/2.96 fof(f1185,plain,(
% 21.13/2.96 spl0_68 <=> in(sk0_29(sk0_1(sk0_27(sk0_0)),sk0_0),omega)),
% 21.13/2.96 introduced(split_symbol_definition)).
% 21.13/2.96 fof(f1187,plain,(
% 21.13/2.96 ~in(sk0_29(sk0_1(sk0_27(sk0_0)),sk0_0),omega)|spl0_68),
% 21.13/2.96 inference(component_clause,[status(thm)],[f1185])).
% 21.13/2.96 fof(f1188,plain,(
% 21.13/2.96 spl0_69 <=> ~element(X0,powerset(powerset(sk0_1(sk0_27(sk0_0)))))|X0=empty_set|in(sk0_30(X0,sk0_1(sk0_27(sk0_0)),sk0_0),X0)),
% 21.13/2.96 introduced(split_symbol_definition)).
% 21.13/2.96 fof(f1189,plain,(
% 21.13/2.96 ![X0]: (~element(X0,powerset(powerset(sk0_1(sk0_27(sk0_0)))))|X0=empty_set|in(sk0_30(X0,sk0_1(sk0_27(sk0_0)),sk0_0),X0)|~spl0_69)),
% 21.13/2.96 inference(component_clause,[status(thm)],[f1188])).
% 21.13/2.96 fof(f1191,plain,(
% 21.13/2.96 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(sk0_27(sk0_0)),sk0_27(sk0_0))|~in(sk0_29(sk0_1(sk0_27(sk0_0)),sk0_0),omega)|~element(X0,powerset(powerset(sk0_1(sk0_27(sk0_0)))))|X0=empty_set|in(sk0_30(X0,sk0_1(sk0_27(sk0_0)),sk0_0),X0)|~spl0_44)),
% 21.13/2.96 inference(paramodulation,[status(thm)],[f845,f221])).
% 21.13/2.96 fof(f1192,plain,(
% 21.13/2.96 ~spl0_7|spl0_67|~spl0_51|~spl0_68|spl0_69|~spl0_44),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1191,f354,f1182,f883,f1185,f1188,f844])).
% 21.13/2.96 fof(f1193,plain,(
% 21.13/2.96 ~in(sk0_1(sk0_27(sk0_0)),omega)|~spl0_44|spl0_68),
% 21.13/2.96 inference(forward_demodulation,[status(thm)],[f845,f1187])).
% 21.13/2.96 fof(f1194,plain,(
% 21.13/2.96 $false|~spl0_50|~spl0_44|spl0_68),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f1193,f881])).
% 21.13/2.96 fof(f1195,plain,(
% 21.13/2.96 ~spl0_50|~spl0_44|spl0_68),
% 21.13/2.96 inference(contradiction_clause,[status(thm)],[f1194])).
% 21.13/2.96 fof(f1196,plain,(
% 21.13/2.96 pd0_0(sk0_24(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~spl0_31|~spl0_67),
% 21.13/2.96 inference(forward_demodulation,[status(thm)],[f724,f1183])).
% 21.13/2.96 fof(f1202,plain,(
% 21.13/2.96 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_21(powerset(sk0_29(X1,X0)))=empty_set|~in(X2,sk0_21(powerset(sk0_29(X1,X0))))|~subset(sk0_30(sk0_21(powerset(sk0_29(X1,X0))),X1,X0),X2)|X2=sk0_30(sk0_21(powerset(sk0_29(X1,X0))),X1,X0))),
% 21.13/2.96 inference(resolution,[status(thm)],[f222,f164])).
% 21.13/2.96 fof(f1203,plain,(
% 21.13/2.96 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_20(powerset(sk0_29(X1,X0)))=empty_set|~in(X2,sk0_20(powerset(sk0_29(X1,X0))))|~subset(sk0_30(sk0_20(powerset(sk0_29(X1,X0))),X1,X0),X2)|X2=sk0_30(sk0_20(powerset(sk0_29(X1,X0))),X1,X0)|empty(powerset(sk0_29(X1,X0))))),
% 21.13/2.96 inference(resolution,[status(thm)],[f222,f161])).
% 21.13/2.96 fof(f1204,plain,(
% 21.13/2.96 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_20(powerset(sk0_29(X1,X0)))=empty_set|~in(X2,sk0_20(powerset(sk0_29(X1,X0))))|~subset(sk0_30(sk0_20(powerset(sk0_29(X1,X0))),X1,X0),X2)|X2=sk0_30(sk0_20(powerset(sk0_29(X1,X0))),X1,X0))),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f1203,f209])).
% 21.13/2.96 fof(f1205,plain,(
% 21.13/2.96 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_8(powerset(sk0_29(X1,X0)))=empty_set|~in(X2,sk0_8(powerset(sk0_29(X1,X0))))|~subset(sk0_30(sk0_8(powerset(sk0_29(X1,X0))),X1,X0),X2)|X2=sk0_30(sk0_8(powerset(sk0_29(X1,X0))),X1,X0)|empty(powerset(sk0_29(X1,X0))))),
% 21.13/2.96 inference(resolution,[status(thm)],[f222,f80])).
% 21.13/2.96 fof(f1206,plain,(
% 21.13/2.96 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_8(powerset(sk0_29(X1,X0)))=empty_set|~in(X2,sk0_8(powerset(sk0_29(X1,X0))))|~subset(sk0_30(sk0_8(powerset(sk0_29(X1,X0))),X1,X0),X2)|X2=sk0_30(sk0_8(powerset(sk0_29(X1,X0))),X1,X0))),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f1205,f209])).
% 21.13/2.96 fof(f1207,plain,(
% 21.13/2.96 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_7(powerset(sk0_29(X1,X0)))=empty_set|~in(X2,sk0_7(powerset(sk0_29(X1,X0))))|~subset(sk0_30(sk0_7(powerset(sk0_29(X1,X0))),X1,X0),X2)|X2=sk0_30(sk0_7(powerset(sk0_29(X1,X0))),X1,X0))),
% 21.13/2.96 inference(resolution,[status(thm)],[f222,f68])).
% 21.13/2.96 fof(f1208,plain,(
% 21.13/2.96 spl0_70 <=> ~element(X0,powerset(powerset(sk0_1(sk0_27(sk0_0)))))|X0=empty_set|~in(X1,X0)|~subset(sk0_30(X0,sk0_1(sk0_27(sk0_0)),sk0_0),X1)|X1=sk0_30(X0,sk0_1(sk0_27(sk0_0)),sk0_0)),
% 21.13/2.96 introduced(split_symbol_definition)).
% 21.13/2.96 fof(f1209,plain,(
% 21.13/2.96 ![X0,X1]: (~element(X0,powerset(powerset(sk0_1(sk0_27(sk0_0)))))|X0=empty_set|~in(X1,X0)|~subset(sk0_30(X0,sk0_1(sk0_27(sk0_0)),sk0_0),X1)|X1=sk0_30(X0,sk0_1(sk0_27(sk0_0)),sk0_0)|~spl0_70)),
% 21.13/2.96 inference(component_clause,[status(thm)],[f1208])).
% 21.13/2.96 fof(f1211,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(sk0_27(sk0_0)),sk0_27(sk0_0))|~in(sk0_29(sk0_1(sk0_27(sk0_0)),sk0_0),omega)|~element(X0,powerset(powerset(sk0_1(sk0_27(sk0_0)))))|X0=empty_set|~in(X1,X0)|~subset(sk0_30(X0,sk0_1(sk0_27(sk0_0)),sk0_0),X1)|X1=sk0_30(X0,sk0_1(sk0_27(sk0_0)),sk0_0)|~spl0_44)),
% 21.13/2.96 inference(paramodulation,[status(thm)],[f845,f222])).
% 21.13/2.96 fof(f1212,plain,(
% 21.13/2.96 ~spl0_7|spl0_67|~spl0_51|~spl0_68|spl0_70|~spl0_44),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1211,f354,f1182,f883,f1185,f1208,f844])).
% 21.13/2.96 fof(f1213,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(X1,X2),sk0_27(X0))|~in(sk0_29(X1,X2),succ(X0))|~ordinal(sk0_29(X1,X2))|~ordinal(X2)|pd0_0(sk0_26(X2),sk0_25(X2),sk0_24(X2))|~in(X1,sk0_27(X2))|~in(sk0_29(X1,X2),omega)|sk0_31(sk0_29(X1,X2),sk0_29(X1,X2),X0)=empty_set|~in(X3,sk0_31(sk0_29(X1,X2),sk0_29(X1,X2),X0))|~subset(sk0_30(sk0_31(sk0_29(X1,X2),sk0_29(X1,X2),X0),X1,X2),X3)|X3=sk0_30(sk0_31(sk0_29(X1,X2),sk0_29(X1,X2),X0),X1,X2))),
% 21.13/2.96 inference(resolution,[status(thm)],[f250,f222])).
% 21.13/2.96 fof(f1214,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(X1,X2),sk0_27(X0))|~in(sk0_29(X1,X2),succ(X0))|~ordinal(X2)|pd0_0(sk0_26(X2),sk0_25(X2),sk0_24(X2))|~in(X1,sk0_27(X2))|~in(sk0_29(X1,X2),omega)|sk0_31(sk0_29(X1,X2),sk0_29(X1,X2),X0)=empty_set|~in(X3,sk0_31(sk0_29(X1,X2),sk0_29(X1,X2),X0))|~subset(sk0_30(sk0_31(sk0_29(X1,X2),sk0_29(X1,X2),X0),X1,X2),X3)|X3=sk0_30(sk0_31(sk0_29(X1,X2),sk0_29(X1,X2),X0),X1,X2))),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f1213,f219])).
% 21.13/2.96 fof(f1215,plain,(
% 21.13/2.96 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(X1,X2),sk0_27(X0))|~in(sk0_29(X1,X2),succ(X0))|~ordinal(sk0_29(X1,X2))|~ordinal(X2)|pd0_0(sk0_26(X2),sk0_25(X2),sk0_24(X2))|~in(X1,sk0_27(X2))|~in(sk0_29(X1,X2),omega)|sk0_31(sk0_29(X1,X2),sk0_29(X1,X2),X0)=empty_set|in(sk0_30(sk0_31(sk0_29(X1,X2),sk0_29(X1,X2),X0),X1,X2),sk0_31(sk0_29(X1,X2),sk0_29(X1,X2),X0)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f250,f221])).
% 21.13/2.96 fof(f1216,plain,(
% 21.13/2.96 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(X1,X2),sk0_27(X0))|~in(sk0_29(X1,X2),succ(X0))|~ordinal(X2)|pd0_0(sk0_26(X2),sk0_25(X2),sk0_24(X2))|~in(X1,sk0_27(X2))|~in(sk0_29(X1,X2),omega)|sk0_31(sk0_29(X1,X2),sk0_29(X1,X2),X0)=empty_set|in(sk0_30(sk0_31(sk0_29(X1,X2),sk0_29(X1,X2),X0),X1,X2),sk0_31(sk0_29(X1,X2),sk0_29(X1,X2),X0)))),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f1215,f219])).
% 21.13/2.96 fof(f1217,plain,(
% 21.13/2.96 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_1(X1),sk0_27(X0))|~in(sk0_1(X1),succ(X0))|~ordinal(sk0_1(X1))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_1(X1),sk0_1(X1),X0)=empty_set|~in(X2,sk0_31(sk0_1(X1),sk0_1(X1),X0))|~subset(sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1),X2)|X2=sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1))),
% 21.13/2.96 inference(resolution,[status(thm)],[f250,f275])).
% 21.13/2.96 fof(f1218,plain,(
% 21.13/2.96 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_1(X1),sk0_27(X0))|~in(sk0_1(X1),succ(X0))|~ordinal(sk0_1(X1))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|~in(X2,sk0_31(sk0_1(X1),sk0_1(X1),X0))|~subset(sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1),X2)|X2=sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1))),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f1217,f251])).
% 21.13/2.96 fof(f1219,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_1(X1),sk0_27(X0))|~in(sk0_1(X1),succ(X0))|~ordinal(sk0_1(X1))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_1(X1),sk0_1(X1),X0)=empty_set|in(sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1),sk0_31(sk0_1(X1),sk0_1(X1),X0)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f250,f273])).
% 21.13/2.96 fof(f1220,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_1(X1),sk0_27(X0))|~in(sk0_1(X1),succ(X0))|~ordinal(sk0_1(X1))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|in(sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1),sk0_31(sk0_1(X1),sk0_1(X1),X0)))),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f1219,f251])).
% 21.13/2.96 fof(f1221,plain,(
% 21.13/2.96 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|~ordinal(sk0_2(X1))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X0)=empty_set|~in(X2,sk0_31(sk0_2(X1),sk0_2(X1),X0))|~subset(sk0_3(sk0_31(sk0_2(X1),sk0_2(X1),X0),X1),X2)|X2=sk0_3(sk0_31(sk0_2(X1),sk0_2(X1),X0),X1))),
% 21.13/2.96 inference(resolution,[status(thm)],[f250,f57])).
% 21.13/2.96 fof(f1222,plain,(
% 21.13/2.96 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X0)=empty_set|~in(X2,sk0_31(sk0_2(X1),sk0_2(X1),X0))|~subset(sk0_3(sk0_31(sk0_2(X1),sk0_2(X1),X0),X1),X2)|X2=sk0_3(sk0_31(sk0_2(X1),sk0_2(X1),X0),X1))),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f1221,f54])).
% 21.13/2.96 fof(f1223,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|~ordinal(sk0_2(X1))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X0)=empty_set|in(sk0_3(sk0_31(sk0_2(X1),sk0_2(X1),X0),X1),sk0_31(sk0_2(X1),sk0_2(X1),X0)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f250,f56])).
% 21.13/2.96 fof(f1224,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X0)=empty_set|in(sk0_3(sk0_31(sk0_2(X1),sk0_2(X1),X0),X1),sk0_31(sk0_2(X1),sk0_2(X1),X0)))),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f1223,f54])).
% 21.13/2.96 fof(f1225,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~finite(powerset(X1))|finite(sk0_31(X1,X1,X0)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f250,f84])).
% 21.13/2.96 fof(f1226,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~ordinal(powerset(powerset(X1)))|epsilon_connected(sk0_31(X1,X1,X0)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f250,f185])).
% 21.13/2.96 fof(f1227,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~ordinal(powerset(powerset(X1)))|epsilon_transitive(sk0_31(X1,X1,X0)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f250,f184])).
% 21.13/2.96 fof(f1228,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~ordinal(powerset(powerset(X1)))|ordinal(sk0_31(X1,X1,X0)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f250,f186])).
% 21.13/2.96 fof(f1230,plain,(
% 21.13/2.96 ![X0,X1,X2]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(X2,sk0_31(X1,X1,X0))|subset(X2,sk0_32(X2,X1,X1,X0))|sk0_24(X0)=sk0_26(X0))),
% 21.13/2.96 inference(resolution,[status(thm)],[f253,f236])).
% 21.13/2.96 fof(f1231,plain,(
% 21.13/2.96 ![X0,X1,X2]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(X2,sk0_31(X1,X1,X0))|subset(X2,sk0_32(X2,X1,X1,X0))|sk0_24(X0)=sk0_25(X0))),
% 21.13/2.96 inference(resolution,[status(thm)],[f253,f231])).
% 21.13/2.96 fof(f1232,plain,(
% 21.13/2.96 spl0_71 <=> in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(X1,sk0_31(X0,X0,sk0_0))|subset(X1,sk0_32(X1,X0,X0,sk0_0))),
% 21.13/2.96 introduced(split_symbol_definition)).
% 21.13/2.96 fof(f1233,plain,(
% 21.13/2.96 ![X0,X1]: (in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(X1,sk0_31(X0,X0,sk0_0))|subset(X1,sk0_32(X1,X0,X0,sk0_0))|~spl0_71)),
% 21.13/2.96 inference(component_clause,[status(thm)],[f1232])).
% 21.13/2.96 fof(f1235,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_24(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(X1,sk0_31(X0,X0,sk0_0))|subset(X1,sk0_32(X1,X0,X0,sk0_0))|~spl0_31)),
% 21.13/2.96 inference(paramodulation,[status(thm)],[f724,f253])).
% 21.13/2.96 fof(f1236,plain,(
% 21.13/2.96 ~spl0_7|spl0_36|spl0_71|~spl0_31),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1235,f354,f767,f1232,f723])).
% 21.13/2.96 fof(f1237,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_24(sk0_0),sk0_24(sk0_0))|in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(X1,sk0_31(X0,X0,sk0_0))|subset(X1,sk0_32(X1,X0,X0,sk0_0))|~spl0_34)),
% 21.13/2.96 inference(paramodulation,[status(thm)],[f740,f253])).
% 21.13/2.96 fof(f1238,plain,(
% 21.13/2.96 ~spl0_7|spl0_52|spl0_71|~spl0_34),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1237,f354,f898,f1232,f739])).
% 21.13/2.96 fof(f1249,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~in(sk0_33(X0,X1,X2),omega)|sk0_21(powerset(sk0_33(X0,X1,X2)))=empty_set|~in(X3,sk0_21(powerset(sk0_33(X0,X1,X2))))|~subset(sk0_34(sk0_21(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),X3)|X3=sk0_34(sk0_21(powerset(sk0_33(X0,X1,X2))),X0,X1,X2))),
% 21.13/2.96 inference(resolution,[status(thm)],[f235,f164])).
% 21.13/2.96 fof(f1250,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~in(sk0_33(X0,X1,X2),omega)|sk0_20(powerset(sk0_33(X0,X1,X2)))=empty_set|~in(X3,sk0_20(powerset(sk0_33(X0,X1,X2))))|~subset(sk0_34(sk0_20(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),X3)|X3=sk0_34(sk0_20(powerset(sk0_33(X0,X1,X2))),X0,X1,X2)|empty(powerset(sk0_33(X0,X1,X2))))),
% 21.13/2.96 inference(resolution,[status(thm)],[f235,f161])).
% 21.13/2.96 fof(f1251,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~in(sk0_33(X0,X1,X2),omega)|sk0_20(powerset(sk0_33(X0,X1,X2)))=empty_set|~in(X3,sk0_20(powerset(sk0_33(X0,X1,X2))))|~subset(sk0_34(sk0_20(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),X3)|X3=sk0_34(sk0_20(powerset(sk0_33(X0,X1,X2))),X0,X1,X2))),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f1250,f209])).
% 21.13/2.96 fof(f1252,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~in(sk0_33(X0,X1,X2),omega)|sk0_8(powerset(sk0_33(X0,X1,X2)))=empty_set|~in(X3,sk0_8(powerset(sk0_33(X0,X1,X2))))|~subset(sk0_34(sk0_8(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),X3)|X3=sk0_34(sk0_8(powerset(sk0_33(X0,X1,X2))),X0,X1,X2)|empty(powerset(sk0_33(X0,X1,X2))))),
% 21.13/2.96 inference(resolution,[status(thm)],[f235,f80])).
% 21.13/2.96 fof(f1253,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~in(sk0_33(X0,X1,X2),omega)|sk0_8(powerset(sk0_33(X0,X1,X2)))=empty_set|~in(X3,sk0_8(powerset(sk0_33(X0,X1,X2))))|~subset(sk0_34(sk0_8(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),X3)|X3=sk0_34(sk0_8(powerset(sk0_33(X0,X1,X2))),X0,X1,X2))),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f1252,f209])).
% 21.13/2.96 fof(f1254,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~in(sk0_33(X0,X1,X2),omega)|sk0_7(powerset(sk0_33(X0,X1,X2)))=empty_set|~in(X3,sk0_7(powerset(sk0_33(X0,X1,X2))))|~subset(sk0_34(sk0_7(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),X3)|X3=sk0_34(sk0_7(powerset(sk0_33(X0,X1,X2))),X0,X1,X2))),
% 21.13/2.96 inference(resolution,[status(thm)],[f235,f68])).
% 21.13/2.96 fof(f1265,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~in(sk0_35(X0,X1,X2),omega)|sk0_21(powerset(sk0_35(X0,X1,X2)))=empty_set|~in(X3,sk0_21(powerset(sk0_35(X0,X1,X2))))|~subset(sk0_36(sk0_21(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),X3)|X3=sk0_36(sk0_21(powerset(sk0_35(X0,X1,X2))),X0,X1,X2))),
% 21.13/2.96 inference(resolution,[status(thm)],[f240,f164])).
% 21.13/2.96 fof(f1266,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~in(sk0_35(X0,X1,X2),omega)|sk0_20(powerset(sk0_35(X0,X1,X2)))=empty_set|~in(X3,sk0_20(powerset(sk0_35(X0,X1,X2))))|~subset(sk0_36(sk0_20(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),X3)|X3=sk0_36(sk0_20(powerset(sk0_35(X0,X1,X2))),X0,X1,X2)|empty(powerset(sk0_35(X0,X1,X2))))),
% 21.13/2.96 inference(resolution,[status(thm)],[f240,f161])).
% 21.13/2.96 fof(f1267,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~in(sk0_35(X0,X1,X2),omega)|sk0_20(powerset(sk0_35(X0,X1,X2)))=empty_set|~in(X3,sk0_20(powerset(sk0_35(X0,X1,X2))))|~subset(sk0_36(sk0_20(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),X3)|X3=sk0_36(sk0_20(powerset(sk0_35(X0,X1,X2))),X0,X1,X2))),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f1266,f209])).
% 21.13/2.96 fof(f1268,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~in(sk0_35(X0,X1,X2),omega)|sk0_8(powerset(sk0_35(X0,X1,X2)))=empty_set|~in(X3,sk0_8(powerset(sk0_35(X0,X1,X2))))|~subset(sk0_36(sk0_8(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),X3)|X3=sk0_36(sk0_8(powerset(sk0_35(X0,X1,X2))),X0,X1,X2)|empty(powerset(sk0_35(X0,X1,X2))))),
% 21.13/2.96 inference(resolution,[status(thm)],[f240,f80])).
% 21.13/2.96 fof(f1269,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~in(sk0_35(X0,X1,X2),omega)|sk0_8(powerset(sk0_35(X0,X1,X2)))=empty_set|~in(X3,sk0_8(powerset(sk0_35(X0,X1,X2))))|~subset(sk0_36(sk0_8(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),X3)|X3=sk0_36(sk0_8(powerset(sk0_35(X0,X1,X2))),X0,X1,X2))),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f1268,f209])).
% 21.13/2.96 fof(f1270,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~in(sk0_35(X0,X1,X2),omega)|sk0_7(powerset(sk0_35(X0,X1,X2)))=empty_set|~in(X3,sk0_7(powerset(sk0_35(X0,X1,X2))))|~subset(sk0_36(sk0_7(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),X3)|X3=sk0_36(sk0_7(powerset(sk0_35(X0,X1,X2))),X0,X1,X2))),
% 21.13/2.96 inference(resolution,[status(thm)],[f240,f68])).
% 21.13/2.96 fof(f1271,plain,(
% 21.13/2.96 ![X0]: (~ordinal(sk0_0)|in(sk0_28(X0,sk0_0),sk0_27(sk0_0))|~ordinal(sk0_28(X0,sk0_0))|in(sk0_28(X0,sk0_0),omega)|sk0_24(sk0_0)=sk0_25(sk0_0)|~in(X0,sk0_27(sk0_0))|~spl0_40)),
% 21.13/2.96 inference(resolution,[status(thm)],[f715,f786])).
% 21.13/2.96 fof(f1272,plain,(
% 21.13/2.96 ~spl0_7|spl0_66|spl0_34|~spl0_40),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1271,f354,f1060,f739,f785])).
% 21.13/2.96 fof(f1275,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|in(sk0_28(X1,X0),sk0_27(X0))|~ordinal(sk0_28(X1,X0))|in(sk0_28(X1,X0),omega)|sk0_24(X0)=sk0_25(X0)|sk0_24(X0)=sk0_25(X0)|~ordinal(X0)|~in(X1,sk0_27(X0)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f715,f694])).
% 21.13/2.96 fof(f1276,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|in(sk0_28(X1,X0),sk0_27(X0))|~ordinal(sk0_28(X1,X0))|in(sk0_28(X1,X0),omega)|sk0_24(X0)=sk0_25(X0)|~in(X1,sk0_27(X0)))),
% 21.13/2.96 inference(duplicate_literals_removal,[status(esa)],[f1275])).
% 21.13/2.96 fof(f1281,plain,(
% 21.13/2.96 ![X0]: (~ordinal(sk0_0)|in(sk0_1(X0),sk0_27(sk0_0))|~ordinal(sk0_1(X0))|in(sk0_1(X0),omega)|sk0_24(sk0_0)=sk0_25(sk0_0)|in(sk0_1(X0),X0))),
% 21.13/2.96 inference(resolution,[status(thm)],[f715,f53])).
% 21.13/2.96 fof(f1282,plain,(
% 21.13/2.96 ~spl0_7|spl0_30|spl0_34),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1281,f354,f720,f739])).
% 21.13/2.96 fof(f1340,plain,(
% 21.13/2.96 spl0_82 <=> ~ordinal(sk0_28(X0,sk0_0))|in(sk0_28(X0,sk0_0),omega)|~in(X0,sk0_27(sk0_0))|sk0_28(sk0_28(X0,sk0_0),sk0_0)=sk0_28(X0,sk0_0)),
% 21.13/2.96 introduced(split_symbol_definition)).
% 21.13/2.96 fof(f1343,plain,(
% 21.13/2.96 ![X0]: (~ordinal(sk0_28(X0,sk0_0))|in(sk0_28(X0,sk0_0),omega)|~in(X0,sk0_27(sk0_0))|sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|sk0_28(sk0_28(X0,sk0_0),sk0_0)=sk0_28(X0,sk0_0)|~spl0_37|~spl0_40)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1070,f701])).
% 21.13/2.96 fof(f1344,plain,(
% 21.13/2.96 spl0_82|spl0_31|~spl0_7|~spl0_37|~spl0_40),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1343,f1340,f723,f354,f770,f785])).
% 21.13/2.96 fof(f1345,plain,(
% 21.13/2.96 spl0_83 <=> ~ordinal(sk0_28(X0,sk0_0))|in(sk0_28(X0,sk0_0),omega)|~in(X0,sk0_27(sk0_0))|sk0_28(X0,sk0_0)=sk0_29(sk0_28(X0,sk0_0),sk0_0)),
% 21.13/2.96 introduced(split_symbol_definition)).
% 21.13/2.96 fof(f1348,plain,(
% 21.13/2.96 ![X0]: (~ordinal(sk0_28(X0,sk0_0))|in(sk0_28(X0,sk0_0),omega)|~in(X0,sk0_27(sk0_0))|sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|sk0_28(X0,sk0_0)=sk0_29(sk0_28(X0,sk0_0),sk0_0)|~spl0_37|~spl0_40)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1070,f700])).
% 21.13/2.96 fof(f1349,plain,(
% 21.13/2.96 spl0_83|spl0_31|~spl0_7|~spl0_37|~spl0_40),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1348,f1345,f723,f354,f770,f785])).
% 21.13/2.96 fof(f1354,plain,(
% 21.13/2.96 spl0_84 <=> ~ordinal(sk0_28(X0,sk0_0))|in(sk0_28(X0,sk0_0),omega)|~in(X0,sk0_27(sk0_0))|ordinal(sk0_29(sk0_28(X0,sk0_0),sk0_0))),
% 21.13/2.96 introduced(split_symbol_definition)).
% 21.13/2.96 fof(f1357,plain,(
% 21.13/2.96 ![X0]: (~ordinal(sk0_28(X0,sk0_0))|in(sk0_28(X0,sk0_0),omega)|~in(X0,sk0_27(sk0_0))|sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|ordinal(sk0_29(sk0_28(X0,sk0_0),sk0_0))|~spl0_37|~spl0_40)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1070,f703])).
% 21.13/2.96 fof(f1358,plain,(
% 21.13/2.96 spl0_84|spl0_31|~spl0_7|~spl0_37|~spl0_40),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1357,f1354,f723,f354,f770,f785])).
% 21.13/2.96 fof(f1359,plain,(
% 21.13/2.96 ![X0]: (~ordinal(sk0_28(X0,sk0_0))|in(sk0_28(X0,sk0_0),omega)|~in(X0,sk0_27(sk0_0))|sk0_24(sk0_0)=sk0_25(sk0_0)|~ordinal(sk0_0)|ordinal(sk0_29(sk0_28(X0,sk0_0),sk0_0))|~spl0_37|~spl0_40)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1070,f695])).
% 21.13/2.96 fof(f1360,plain,(
% 21.13/2.96 spl0_84|spl0_34|~spl0_7|~spl0_37|~spl0_40),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1359,f1354,f739,f354,f770,f785])).
% 21.13/2.96 fof(f1362,plain,(
% 21.13/2.96 spl0_85 <=> ordinal(sk0_28(sk0_1(sk0_27(sk0_0)),sk0_0))),
% 21.13/2.96 introduced(split_symbol_definition)).
% 21.13/2.96 fof(f1364,plain,(
% 21.13/2.96 ~ordinal(sk0_28(sk0_1(sk0_27(sk0_0)),sk0_0))|spl0_85),
% 21.13/2.96 inference(component_clause,[status(thm)],[f1362])).
% 21.13/2.96 fof(f1374,plain,(
% 21.13/2.96 ~ordinal(sk0_1(sk0_27(sk0_0)))|~spl0_54|spl0_85),
% 21.13/2.96 inference(forward_demodulation,[status(thm)],[f938,f1364])).
% 21.13/2.96 fof(f1375,plain,(
% 21.13/2.96 $false|~spl0_49|~spl0_54|spl0_85),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f1374,f870])).
% 21.13/2.96 fof(f1376,plain,(
% 21.13/2.96 ~spl0_49|~spl0_54|spl0_85),
% 21.13/2.96 inference(contradiction_clause,[status(thm)],[f1375])).
% 21.13/2.96 fof(f1377,plain,(
% 21.13/2.96 ~ordinal(sk0_1(sk0_27(sk0_0)))|~spl0_44|spl0_55),
% 21.13/2.96 inference(forward_demodulation,[status(thm)],[f845,f950])).
% 21.13/2.96 fof(f1378,plain,(
% 21.13/2.96 $false|~spl0_49|~spl0_44|spl0_55),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f1377,f870])).
% 21.13/2.96 fof(f1379,plain,(
% 21.13/2.96 ~spl0_49|~spl0_44|spl0_55),
% 21.13/2.96 inference(contradiction_clause,[status(thm)],[f1378])).
% 21.13/2.96 fof(f1396,plain,(
% 21.13/2.96 ![X0,X1,X2]: (in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_31(sk0_2(X1),sk0_2(X1),X2),X1),sk0_31(X0,X0,sk0_0))|~ordinal(X2)|pd0_0(sk0_26(X2),sk0_25(X2),sk0_24(X2))|in(sk0_2(X1),sk0_27(X2))|~in(sk0_2(X1),succ(X2))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X2)=empty_set|~in(sk0_32(sk0_3(sk0_31(sk0_2(X1),sk0_2(X1),X2),X1),X0,X0,sk0_0),sk0_31(sk0_2(X1),sk0_2(X1),X2))|sk0_32(sk0_3(sk0_31(sk0_2(X1),sk0_2(X1),X2),X1),X0,X0,sk0_0)=sk0_3(sk0_31(sk0_2(X1),sk0_2(X1),X2),X1)|~spl0_71)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1233,f1222])).
% 21.13/2.96 fof(f1398,plain,(
% 21.13/2.96 ![X0,X1]: (in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_21(powerset(sk0_1(X1))),X1),sk0_31(X0,X0,sk0_0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_21(powerset(sk0_1(X1)))=empty_set|~in(sk0_32(sk0_3(sk0_21(powerset(sk0_1(X1))),X1),X0,X0,sk0_0),sk0_21(powerset(sk0_1(X1))))|sk0_32(sk0_3(sk0_21(powerset(sk0_1(X1))),X1),X0,X0,sk0_0)=sk0_3(sk0_21(powerset(sk0_1(X1))),X1)|~spl0_71)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1233,f555])).
% 21.13/2.96 fof(f1399,plain,(
% 21.13/2.96 ![X0,X1]: (in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_21(powerset(sk0_2(X1))),X1),sk0_31(X0,X0,sk0_0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_21(powerset(sk0_2(X1)))=empty_set|~in(sk0_32(sk0_3(sk0_21(powerset(sk0_2(X1))),X1),X0,X0,sk0_0),sk0_21(powerset(sk0_2(X1))))|sk0_32(sk0_3(sk0_21(powerset(sk0_2(X1))),X1),X0,X0,sk0_0)=sk0_3(sk0_21(powerset(sk0_2(X1))),X1)|~spl0_71)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1233,f557])).
% 21.13/2.96 fof(f1401,plain,(
% 21.13/2.96 ![X0,X1]: (in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_20(powerset(sk0_1(X1))),X1),sk0_31(X0,X0,sk0_0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_20(powerset(sk0_1(X1)))=empty_set|~in(sk0_32(sk0_3(sk0_20(powerset(sk0_1(X1))),X1),X0,X0,sk0_0),sk0_20(powerset(sk0_1(X1))))|sk0_32(sk0_3(sk0_20(powerset(sk0_1(X1))),X1),X0,X0,sk0_0)=sk0_3(sk0_20(powerset(sk0_1(X1))),X1)|~spl0_71)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1233,f546])).
% 21.13/2.96 fof(f1402,plain,(
% 21.13/2.96 ![X0,X1]: (in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_20(powerset(sk0_2(X1))),X1),sk0_31(X0,X0,sk0_0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_20(powerset(sk0_2(X1)))=empty_set|~in(sk0_32(sk0_3(sk0_20(powerset(sk0_2(X1))),X1),X0,X0,sk0_0),sk0_20(powerset(sk0_2(X1))))|sk0_32(sk0_3(sk0_20(powerset(sk0_2(X1))),X1),X0,X0,sk0_0)=sk0_3(sk0_20(powerset(sk0_2(X1))),X1)|~spl0_71)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1233,f550])).
% 21.13/2.96 fof(f1404,plain,(
% 21.13/2.96 ![X0,X1]: (in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_8(powerset(sk0_1(X1))),X1),sk0_31(X0,X0,sk0_0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_8(powerset(sk0_1(X1)))=empty_set|~in(sk0_32(sk0_3(sk0_8(powerset(sk0_1(X1))),X1),X0,X0,sk0_0),sk0_8(powerset(sk0_1(X1))))|sk0_32(sk0_3(sk0_8(powerset(sk0_1(X1))),X1),X0,X0,sk0_0)=sk0_3(sk0_8(powerset(sk0_1(X1))),X1)|~spl0_71)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1233,f375])).
% 21.13/2.96 fof(f1405,plain,(
% 21.13/2.96 ![X0,X1]: (in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_8(powerset(sk0_2(X1))),X1),sk0_31(X0,X0,sk0_0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_8(powerset(sk0_2(X1)))=empty_set|~in(sk0_32(sk0_3(sk0_8(powerset(sk0_2(X1))),X1),X0,X0,sk0_0),sk0_8(powerset(sk0_2(X1))))|sk0_32(sk0_3(sk0_8(powerset(sk0_2(X1))),X1),X0,X0,sk0_0)=sk0_3(sk0_8(powerset(sk0_2(X1))),X1)|~spl0_71)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1233,f379])).
% 21.13/2.96 fof(f1406,plain,(
% 21.13/2.96 ![X0,X1]: (in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_7(powerset(sk0_2(X1))),X1),sk0_31(X0,X0,sk0_0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_7(powerset(sk0_2(X1)))=empty_set|~in(sk0_32(sk0_3(sk0_7(powerset(sk0_2(X1))),X1),X0,X0,sk0_0),sk0_7(powerset(sk0_2(X1))))|sk0_32(sk0_3(sk0_7(powerset(sk0_2(X1))),X1),X0,X0,sk0_0)=sk0_3(sk0_7(powerset(sk0_2(X1))),X1)|~spl0_71)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1233,f290])).
% 21.13/2.96 fof(f1408,plain,(
% 21.13/2.96 ![X0,X1]: (in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_7(powerset(sk0_1(X1))),X1),sk0_31(X0,X0,sk0_0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_7(powerset(sk0_1(X1)))=empty_set|~in(sk0_32(sk0_3(sk0_7(powerset(sk0_1(X1))),X1),X0,X0,sk0_0),sk0_7(powerset(sk0_1(X1))))|sk0_32(sk0_3(sk0_7(powerset(sk0_1(X1))),X1),X0,X0,sk0_0)=sk0_3(sk0_7(powerset(sk0_1(X1))),X1)|~spl0_71)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1233,f288])).
% 21.13/2.96 fof(f1421,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X0)=empty_set|in(sk0_3(sk0_31(sk0_1(X1),sk0_2(X1),X0),X1),sk0_31(sk0_2(X1),sk0_2(X1),X0))|in(sk0_1(X1),X1))),
% 21.13/2.96 inference(paramodulation,[status(thm)],[f55,f1224])).
% 21.13/2.96 fof(f1422,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X0)=empty_set|in(sk0_3(sk0_31(sk0_1(X1),sk0_2(X1),X0),X1),sk0_31(sk0_2(X1),sk0_2(X1),X0)))),
% 21.13/2.96 inference(duplicate_literals_removal,[status(esa)],[f1421])).
% 21.13/2.96 fof(f1429,plain,(
% 21.13/2.96 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_1(X1),sk0_27(X0))|~in(sk0_1(X1),succ(X0))|~ordinal(sk0_1(X1))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|~in(sk0_32(sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1),X2,X2,sk0_0),sk0_31(sk0_1(X1),sk0_1(X1),X0))|sk0_32(sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1),X2,X2,sk0_0)=sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1)|in(X2,sk0_27(sk0_0))|~in(X2,succ(sk0_0))|~ordinal(X2)|~in(sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1),sk0_31(X2,X2,sk0_0))|~spl0_71)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1218,f1233])).
% 21.13/2.96 fof(f1457,plain,(
% 21.13/2.96 ![X0,X1]: (~element(X0,powerset(powerset(sk0_1(sk0_27(sk0_0)))))|X0=empty_set|~in(sk0_5(sk0_30(X0,sk0_1(sk0_27(sk0_0)),sk0_0),sk0_1(X1),X1),X0)|sk0_5(sk0_30(X0,sk0_1(sk0_27(sk0_0)),sk0_0),sk0_1(X1),X1)=sk0_30(X0,sk0_1(sk0_27(sk0_0)),sk0_0)|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(X0,sk0_1(sk0_27(sk0_0)),sk0_0),sk0_4(sk0_1(X1),X1))|~spl0_70)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1209,f246])).
% 21.13/2.96 fof(f1458,plain,(
% 21.13/2.96 ![X0,X1]: (~element(X0,powerset(powerset(sk0_1(sk0_27(sk0_0)))))|X0=empty_set|~in(sk0_5(sk0_30(X0,sk0_1(sk0_27(sk0_0)),sk0_0),sk0_1(X1),X1),X0)|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(X0,sk0_1(sk0_27(sk0_0)),sk0_0),sk0_4(sk0_1(X1),X1))|~spl0_70)),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f1457,f247])).
% 21.13/2.96 fof(f1480,plain,(
% 21.13/2.96 ![X0]: (~element(sk0_4(sk0_1(X0),X0),powerset(powerset(sk0_1(sk0_27(sk0_0)))))|sk0_4(sk0_1(X0),X0)=empty_set|~in(sk0_1(X0),X0)|~in(sk0_1(X0),succ(sk0_0))|~ordinal(sk0_1(X0))|~in(sk0_30(sk0_4(sk0_1(X0),X0),sk0_1(sk0_27(sk0_0)),sk0_0),sk0_4(sk0_1(X0),X0))|~in(sk0_1(X0),X0)|~in(sk0_1(X0),succ(sk0_0))|~ordinal(sk0_1(X0))|~in(sk0_30(sk0_4(sk0_1(X0),X0),sk0_1(sk0_27(sk0_0)),sk0_0),sk0_4(sk0_1(X0),X0))|~spl0_70)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1458,f245])).
% 21.13/2.96 fof(f1481,plain,(
% 21.13/2.96 ![X0]: (~element(sk0_4(sk0_1(X0),X0),powerset(powerset(sk0_1(sk0_27(sk0_0)))))|sk0_4(sk0_1(X0),X0)=empty_set|~in(sk0_1(X0),X0)|~in(sk0_1(X0),succ(sk0_0))|~ordinal(sk0_1(X0))|~in(sk0_30(sk0_4(sk0_1(X0),X0),sk0_1(sk0_27(sk0_0)),sk0_0),sk0_4(sk0_1(X0),X0))|~spl0_70)),
% 21.13/2.96 inference(duplicate_literals_removal,[status(esa)],[f1480])).
% 21.13/2.96 fof(f1482,plain,(
% 21.13/2.96 ![X0]: (~element(sk0_4(sk0_1(X0),X0),powerset(powerset(sk0_1(sk0_27(sk0_0)))))|~in(sk0_1(X0),X0)|~in(sk0_1(X0),succ(sk0_0))|~ordinal(sk0_1(X0))|~in(sk0_30(sk0_4(sk0_1(X0),X0),sk0_1(sk0_27(sk0_0)),sk0_0),sk0_4(sk0_1(X0),X0))|~spl0_70)),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f1481,f244])).
% 21.13/2.96 fof(f1483,plain,(
% 21.13/2.96 ![X0]: (~element(sk0_4(sk0_1(X0),X0),powerset(powerset(sk0_1(sk0_27(sk0_0)))))|~in(sk0_1(X0),X0)|~in(sk0_1(X0),succ(sk0_0))|~ordinal(sk0_1(X0))|~element(sk0_4(sk0_1(X0),X0),powerset(powerset(sk0_1(sk0_27(sk0_0)))))|sk0_4(sk0_1(X0),X0)=empty_set|~spl0_70|~spl0_69)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1482,f1189])).
% 21.13/2.96 fof(f1484,plain,(
% 21.13/2.96 ![X0]: (~element(sk0_4(sk0_1(X0),X0),powerset(powerset(sk0_1(sk0_27(sk0_0)))))|~in(sk0_1(X0),X0)|~in(sk0_1(X0),succ(sk0_0))|~ordinal(sk0_1(X0))|sk0_4(sk0_1(X0),X0)=empty_set|~spl0_70|~spl0_69)),
% 21.13/2.96 inference(duplicate_literals_removal,[status(esa)],[f1483])).
% 21.13/2.96 fof(f1485,plain,(
% 21.13/2.96 ![X0]: (~element(sk0_4(sk0_1(X0),X0),powerset(powerset(sk0_1(sk0_27(sk0_0)))))|~in(sk0_1(X0),X0)|~in(sk0_1(X0),succ(sk0_0))|~ordinal(sk0_1(X0))|~spl0_70|~spl0_69)),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f1484,f244])).
% 21.13/2.96 fof(f1486,plain,(
% 21.13/2.96 ~in(sk0_1(sk0_27(sk0_0)),sk0_27(sk0_0))|~in(sk0_1(sk0_27(sk0_0)),succ(sk0_0))|~ordinal(sk0_1(sk0_27(sk0_0)))|~in(sk0_1(sk0_27(sk0_0)),sk0_27(sk0_0))|~in(sk0_1(sk0_27(sk0_0)),succ(sk0_0))|~ordinal(sk0_1(sk0_27(sk0_0)))|~spl0_70|~spl0_69),
% 21.13/2.96 inference(resolution,[status(thm)],[f1485,f243])).
% 21.13/2.96 fof(f1487,plain,(
% 21.13/2.96 ~spl0_51|~spl0_57|~spl0_49|~spl0_70|~spl0_69),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1486,f883,f970,f869,f1208,f1188])).
% 21.13/2.96 fof(f1498,plain,(
% 21.13/2.96 sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|ordinal(sk0_2(sk0_27(sk0_0)))|spl0_44),
% 21.13/2.96 inference(resolution,[status(thm)],[f846,f710])).
% 21.13/2.96 fof(f1499,plain,(
% 21.13/2.96 spl0_31|~spl0_7|spl0_45|spl0_44),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1498,f723,f354,f847,f844])).
% 21.13/2.96 fof(f1517,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X0)=empty_set|in(sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1),sk0_31(sk0_2(X1),sk0_2(X1),X0))|in(sk0_1(X1),X1))),
% 21.13/2.96 inference(paramodulation,[status(thm)],[f55,f1422])).
% 21.13/2.96 fof(f1518,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X0)=empty_set|in(sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1),sk0_31(sk0_2(X1),sk0_2(X1),X0)))),
% 21.13/2.96 inference(duplicate_literals_removal,[status(esa)],[f1517])).
% 21.13/2.96 fof(f1562,plain,(
% 21.13/2.96 spl0_93 <=> in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~ordinal(powerset(powerset(X0)))|ordinal(sk0_31(X0,X0,sk0_0))),
% 21.13/2.96 introduced(split_symbol_definition)).
% 21.13/2.96 fof(f1565,plain,(
% 21.13/2.96 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_24(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~ordinal(powerset(powerset(X0)))|ordinal(sk0_31(X0,X0,sk0_0))|~spl0_31)),
% 21.13/2.96 inference(paramodulation,[status(thm)],[f724,f1228])).
% 21.13/2.96 fof(f1566,plain,(
% 21.13/2.96 ~spl0_7|spl0_36|spl0_93|~spl0_31),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1565,f354,f767,f1562,f723])).
% 21.13/2.96 fof(f1578,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_20(powerset(sk0_29(X1,X0)))=empty_set|~in(sk0_20(powerset(sk0_29(X1,X0))),sk0_30(sk0_20(powerset(sk0_29(X1,X0))),X1,X0)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f1178,f173])).
% 21.13/2.96 fof(f1579,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_8(powerset(sk0_29(X1,X0)))=empty_set|~in(sk0_8(powerset(sk0_29(X1,X0))),sk0_30(sk0_8(powerset(sk0_29(X1,X0))),X1,X0)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f1180,f173])).
% 21.13/2.96 fof(f1580,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~in(sk0_33(X0,X1,X2),omega)|sk0_20(powerset(sk0_33(X0,X1,X2)))=empty_set|~in(sk0_32(sk0_34(sk0_20(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0),sk0_20(powerset(sk0_33(X0,X1,X2))))|sk0_32(sk0_34(sk0_20(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0)=sk0_34(sk0_20(powerset(sk0_33(X0,X1,X2))),X0,X1,X2)|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_34(sk0_20(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|~spl0_71)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1251,f1233])).
% 21.13/2.96 fof(f1583,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~in(sk0_33(X0,X1,X2),omega)|sk0_8(powerset(sk0_33(X0,X1,X2)))=empty_set|~in(sk0_32(sk0_34(sk0_8(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0),sk0_8(powerset(sk0_33(X0,X1,X2))))|sk0_32(sk0_34(sk0_8(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0)=sk0_34(sk0_8(powerset(sk0_33(X0,X1,X2))),X0,X1,X2)|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_34(sk0_8(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|~spl0_71)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1253,f1233])).
% 21.13/2.96 fof(f1586,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~in(sk0_35(X0,X1,X2),omega)|sk0_20(powerset(sk0_35(X0,X1,X2)))=empty_set|~in(sk0_32(sk0_36(sk0_20(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0),sk0_20(powerset(sk0_35(X0,X1,X2))))|sk0_32(sk0_36(sk0_20(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0)=sk0_36(sk0_20(powerset(sk0_35(X0,X1,X2))),X0,X1,X2)|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_36(sk0_20(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|~spl0_71)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1267,f1233])).
% 21.13/2.96 fof(f1589,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~in(sk0_35(X0,X1,X2),omega)|sk0_8(powerset(sk0_35(X0,X1,X2)))=empty_set|~in(sk0_32(sk0_36(sk0_8(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0),sk0_8(powerset(sk0_35(X0,X1,X2))))|sk0_32(sk0_36(sk0_8(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0)=sk0_36(sk0_8(powerset(sk0_35(X0,X1,X2))),X0,X1,X2)|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_36(sk0_8(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|~spl0_71)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1269,f1233])).
% 21.13/2.96 fof(f1592,plain,(
% 21.13/2.96 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_20(powerset(sk0_29(X1,X0)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_29(X1,X0))),X1,X0),X2,X2,sk0_0),sk0_20(powerset(sk0_29(X1,X0))))|sk0_32(sk0_30(sk0_20(powerset(sk0_29(X1,X0))),X1,X0),X2,X2,sk0_0)=sk0_30(sk0_20(powerset(sk0_29(X1,X0))),X1,X0)|in(X2,sk0_27(sk0_0))|~in(X2,succ(sk0_0))|~ordinal(X2)|~in(sk0_30(sk0_20(powerset(sk0_29(X1,X0))),X1,X0),sk0_31(X2,X2,sk0_0))|~spl0_71)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1204,f1233])).
% 21.13/2.96 fof(f1593,plain,(
% 21.13/2.96 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_20(powerset(sk0_29(X1,X0)))=empty_set|~in(sk0_5(sk0_30(sk0_20(powerset(sk0_29(X1,X0))),X1,X0),sk0_1(X2),X2),sk0_20(powerset(sk0_29(X1,X0))))|sk0_5(sk0_30(sk0_20(powerset(sk0_29(X1,X0))),X1,X0),sk0_1(X2),X2)=sk0_30(sk0_20(powerset(sk0_29(X1,X0))),X1,X0)|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_20(powerset(sk0_29(X1,X0))),X1,X0),sk0_4(sk0_1(X2),X2)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f1204,f246])).
% 21.13/2.96 fof(f1594,plain,(
% 21.13/2.96 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_20(powerset(sk0_29(X1,X0)))=empty_set|~in(sk0_5(sk0_30(sk0_20(powerset(sk0_29(X1,X0))),X1,X0),sk0_1(X2),X2),sk0_20(powerset(sk0_29(X1,X0))))|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_20(powerset(sk0_29(X1,X0))),X1,X0),sk0_4(sk0_1(X2),X2)))),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f1593,f247])).
% 21.13/2.96 fof(f1595,plain,(
% 21.13/2.96 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_8(powerset(sk0_29(X1,X0)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_29(X1,X0))),X1,X0),X2,X2,sk0_0),sk0_8(powerset(sk0_29(X1,X0))))|sk0_32(sk0_30(sk0_8(powerset(sk0_29(X1,X0))),X1,X0),X2,X2,sk0_0)=sk0_30(sk0_8(powerset(sk0_29(X1,X0))),X1,X0)|in(X2,sk0_27(sk0_0))|~in(X2,succ(sk0_0))|~ordinal(X2)|~in(sk0_30(sk0_8(powerset(sk0_29(X1,X0))),X1,X0),sk0_31(X2,X2,sk0_0))|~spl0_71)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1206,f1233])).
% 21.13/2.96 fof(f1596,plain,(
% 21.13/2.96 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_8(powerset(sk0_29(X1,X0)))=empty_set|~in(sk0_5(sk0_30(sk0_8(powerset(sk0_29(X1,X0))),X1,X0),sk0_1(X2),X2),sk0_8(powerset(sk0_29(X1,X0))))|sk0_5(sk0_30(sk0_8(powerset(sk0_29(X1,X0))),X1,X0),sk0_1(X2),X2)=sk0_30(sk0_8(powerset(sk0_29(X1,X0))),X1,X0)|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_8(powerset(sk0_29(X1,X0))),X1,X0),sk0_4(sk0_1(X2),X2)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f1206,f246])).
% 21.13/2.96 fof(f1597,plain,(
% 21.13/2.96 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_8(powerset(sk0_29(X1,X0)))=empty_set|~in(sk0_5(sk0_30(sk0_8(powerset(sk0_29(X1,X0))),X1,X0),sk0_1(X2),X2),sk0_8(powerset(sk0_29(X1,X0))))|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_8(powerset(sk0_29(X1,X0))),X1,X0),sk0_4(sk0_1(X2),X2)))),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f1596,f247])).
% 21.13/2.96 fof(f1623,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X0)=empty_set|in(sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1),sk0_31(sk0_1(X1),sk0_2(X1),X0))|in(sk0_1(X1),X1))),
% 21.13/2.96 inference(paramodulation,[status(thm)],[f55,f1518])).
% 21.13/2.96 fof(f1624,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X0)=empty_set|in(sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1),sk0_31(sk0_1(X1),sk0_2(X1),X0)))),
% 21.13/2.96 inference(duplicate_literals_removal,[status(esa)],[f1623])).
% 21.13/2.96 fof(f1672,plain,(
% 21.13/2.96 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(X0,sk0_0))|in(sk0_28(X0,sk0_0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~in(X0,sk0_27(sk0_0))|ordinal(sk0_29(sk0_28(X0,sk0_0),sk0_0))|~spl0_41)),
% 21.13/2.96 inference(resolution,[status(thm)],[f717,f791])).
% 21.13/2.96 fof(f1673,plain,(
% 21.13/2.96 ~spl0_7|spl0_84|spl0_31|~spl0_41),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1672,f354,f1354,f723,f790])).
% 21.13/2.96 fof(f1674,plain,(
% 21.13/2.96 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(X0,sk0_0))|in(sk0_28(X0,sk0_0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~in(X0,sk0_27(sk0_0))|sk0_28(sk0_28(X0,sk0_0),sk0_0)=sk0_28(X0,sk0_0)|~spl0_39)),
% 21.13/2.96 inference(resolution,[status(thm)],[f717,f781])).
% 21.13/2.96 fof(f1675,plain,(
% 21.13/2.96 ~spl0_7|spl0_82|spl0_31|~spl0_39),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1674,f354,f1340,f723,f780])).
% 21.13/2.96 fof(f1676,plain,(
% 21.13/2.96 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(X0,sk0_0))|in(sk0_28(X0,sk0_0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~in(X0,sk0_27(sk0_0))|sk0_28(X0,sk0_0)=sk0_29(sk0_28(X0,sk0_0),sk0_0)|~spl0_38)),
% 21.13/2.96 inference(resolution,[status(thm)],[f717,f776])).
% 21.13/2.96 fof(f1677,plain,(
% 21.13/2.96 ~spl0_7|spl0_83|spl0_31|~spl0_38),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1676,f354,f1345,f723,f775])).
% 21.13/2.96 fof(f1678,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|~ordinal(sk0_28(X1,X0))|in(sk0_28(X1,X0),omega)|sk0_24(X0)=sk0_26(X0)|~in(X1,sk0_27(X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(X0)|sk0_28(sk0_28(X1,X0),X0)=sk0_28(X1,X0))),
% 21.13/2.96 inference(resolution,[status(thm)],[f717,f701])).
% 21.13/2.96 fof(f1679,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|~ordinal(sk0_28(X1,X0))|in(sk0_28(X1,X0),omega)|sk0_24(X0)=sk0_26(X0)|~in(X1,sk0_27(X0))|sk0_28(sk0_28(X1,X0),X0)=sk0_28(X1,X0))),
% 21.13/2.96 inference(duplicate_literals_removal,[status(esa)],[f1678])).
% 21.13/2.96 fof(f1680,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|~ordinal(sk0_28(X1,X0))|in(sk0_28(X1,X0),omega)|sk0_24(X0)=sk0_26(X0)|~in(X1,sk0_27(X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(X0)|sk0_28(X1,X0)=sk0_29(sk0_28(X1,X0),X0))),
% 21.13/2.96 inference(resolution,[status(thm)],[f717,f700])).
% 21.13/2.96 fof(f1681,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|~ordinal(sk0_28(X1,X0))|in(sk0_28(X1,X0),omega)|sk0_24(X0)=sk0_26(X0)|~in(X1,sk0_27(X0))|sk0_28(X1,X0)=sk0_29(sk0_28(X1,X0),X0))),
% 21.13/2.96 inference(duplicate_literals_removal,[status(esa)],[f1680])).
% 21.13/2.96 fof(f1686,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|~ordinal(sk0_28(X1,X0))|in(sk0_28(X1,X0),omega)|sk0_24(X0)=sk0_26(X0)|~in(X1,sk0_27(X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(X0)|ordinal(sk0_29(sk0_28(X1,X0),X0)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f717,f703])).
% 21.13/2.96 fof(f1687,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|~ordinal(sk0_28(X1,X0))|in(sk0_28(X1,X0),omega)|sk0_24(X0)=sk0_26(X0)|~in(X1,sk0_27(X0))|ordinal(sk0_29(sk0_28(X1,X0),X0)))),
% 21.13/2.96 inference(duplicate_literals_removal,[status(esa)],[f1686])).
% 21.13/2.96 fof(f1690,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|~ordinal(sk0_28(X1,X0))|in(sk0_28(X1,X0),omega)|sk0_24(X0)=sk0_26(X0)|~in(X1,sk0_27(X0))|~in(sk0_27(X0),sk0_28(X1,X0)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f717,f173])).
% 21.13/2.96 fof(f1693,plain,(
% 21.13/2.96 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(X0,sk0_0))|in(sk0_28(X0,sk0_0),omega)|sk0_24(sk0_0)=sk0_25(sk0_0)|~in(X0,sk0_27(sk0_0))|sk0_28(sk0_28(X0,sk0_0),sk0_0)=sk0_28(X0,sk0_0)|~spl0_39)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1276,f781])).
% 21.13/2.96 fof(f1694,plain,(
% 21.13/2.96 ~spl0_7|spl0_82|spl0_34|~spl0_39),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1693,f354,f1340,f739,f780])).
% 21.13/2.96 fof(f1695,plain,(
% 21.13/2.96 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(X0,sk0_0))|in(sk0_28(X0,sk0_0),omega)|sk0_24(sk0_0)=sk0_25(sk0_0)|~in(X0,sk0_27(sk0_0))|sk0_28(X0,sk0_0)=sk0_29(sk0_28(X0,sk0_0),sk0_0)|~spl0_38)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1276,f776])).
% 21.13/2.96 fof(f1696,plain,(
% 21.13/2.96 ~spl0_7|spl0_83|spl0_34|~spl0_38),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1695,f354,f1345,f739,f775])).
% 21.13/2.96 fof(f1701,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|~ordinal(sk0_28(X1,X0))|in(sk0_28(X1,X0),omega)|sk0_24(X0)=sk0_25(X0)|~in(X1,sk0_27(X0))|sk0_24(X0)=sk0_25(X0)|~ordinal(X0)|sk0_28(sk0_28(X1,X0),X0)=sk0_28(X1,X0))),
% 21.13/2.96 inference(resolution,[status(thm)],[f1276,f693])).
% 21.13/2.96 fof(f1702,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|~ordinal(sk0_28(X1,X0))|in(sk0_28(X1,X0),omega)|sk0_24(X0)=sk0_25(X0)|~in(X1,sk0_27(X0))|sk0_28(sk0_28(X1,X0),X0)=sk0_28(X1,X0))),
% 21.13/2.96 inference(duplicate_literals_removal,[status(esa)],[f1701])).
% 21.13/2.96 fof(f1703,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|~ordinal(sk0_28(X1,X0))|in(sk0_28(X1,X0),omega)|sk0_24(X0)=sk0_25(X0)|~in(X1,sk0_27(X0))|sk0_24(X0)=sk0_25(X0)|~ordinal(X0)|sk0_28(X1,X0)=sk0_29(sk0_28(X1,X0),X0))),
% 21.13/2.96 inference(resolution,[status(thm)],[f1276,f692])).
% 21.13/2.96 fof(f1704,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|~ordinal(sk0_28(X1,X0))|in(sk0_28(X1,X0),omega)|sk0_24(X0)=sk0_25(X0)|~in(X1,sk0_27(X0))|sk0_28(X1,X0)=sk0_29(sk0_28(X1,X0),X0))),
% 21.13/2.96 inference(duplicate_literals_removal,[status(esa)],[f1703])).
% 21.13/2.96 fof(f1707,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|~ordinal(sk0_28(X1,X0))|in(sk0_28(X1,X0),omega)|sk0_24(X0)=sk0_25(X0)|~in(X1,sk0_27(X0))|sk0_24(X0)=sk0_25(X0)|~ordinal(X0)|ordinal(sk0_29(sk0_28(X1,X0),X0)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f1276,f695])).
% 21.13/2.96 fof(f1708,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|~ordinal(sk0_28(X1,X0))|in(sk0_28(X1,X0),omega)|sk0_24(X0)=sk0_25(X0)|~in(X1,sk0_27(X0))|ordinal(sk0_29(sk0_28(X1,X0),X0)))),
% 21.13/2.96 inference(duplicate_literals_removal,[status(esa)],[f1707])).
% 21.13/2.96 fof(f1709,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|~ordinal(sk0_28(X1,X0))|in(sk0_28(X1,X0),omega)|sk0_24(X0)=sk0_25(X0)|~in(X1,sk0_27(X0))|~in(sk0_27(X0),sk0_28(X1,X0)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f1276,f173])).
% 21.13/2.96 fof(f1710,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|~ordinal(sk0_28(X1,X0))|in(sk0_28(X1,X0),omega)|sk0_24(X0)=sk0_26(X0)|~in(X1,sk0_27(X0))|epsilon_connected(sk0_29(sk0_28(X1,X0),X0)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f1687,f195])).
% 21.13/2.96 fof(f1711,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|~ordinal(sk0_28(X1,X0))|in(sk0_28(X1,X0),omega)|sk0_24(X0)=sk0_26(X0)|~in(X1,sk0_27(X0))|epsilon_transitive(sk0_29(sk0_28(X1,X0),X0)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f1687,f194])).
% 21.13/2.96 fof(f1712,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|~ordinal(sk0_28(X1,X0))|in(sk0_28(X1,X0),omega)|sk0_24(X0)=sk0_25(X0)|~in(X1,sk0_27(X0))|epsilon_connected(sk0_29(sk0_28(X1,X0),X0)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f1708,f195])).
% 21.13/2.96 fof(f1713,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|~ordinal(sk0_28(X1,X0))|in(sk0_28(X1,X0),omega)|sk0_24(X0)=sk0_25(X0)|~in(X1,sk0_27(X0))|epsilon_transitive(sk0_29(sk0_28(X1,X0),X0)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f1708,f194])).
% 21.13/2.96 fof(f1718,plain,(
% 21.13/2.96 spl0_94 <=> in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~finite(powerset(X0))|finite(sk0_31(X0,X0,sk0_0))),
% 21.13/2.96 introduced(split_symbol_definition)).
% 21.13/2.96 fof(f1721,plain,(
% 21.13/2.96 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_24(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~finite(powerset(X0))|finite(sk0_31(X0,X0,sk0_0))|~spl0_31)),
% 21.13/2.96 inference(paramodulation,[status(thm)],[f724,f1225])).
% 21.13/2.96 fof(f1722,plain,(
% 21.13/2.96 ~spl0_7|spl0_36|spl0_94|~spl0_31),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1721,f354,f767,f1718,f723])).
% 21.13/2.96 fof(f1725,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(X2,X3))),X2,X3),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(X3)|pd0_0(sk0_26(X3),sk0_25(X3),sk0_24(X3))|~in(X2,sk0_27(X3))|~in(sk0_29(X2,X3),omega)|sk0_8(powerset(sk0_29(X2,X3)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_29(X2,X3))),X2,X3),X1,X1,X0),sk0_8(powerset(sk0_29(X2,X3))))|sk0_32(sk0_30(sk0_8(powerset(sk0_29(X2,X3))),X2,X3),X1,X1,X0)=sk0_30(sk0_8(powerset(sk0_29(X2,X3))),X2,X3))),
% 21.13/2.96 inference(resolution,[status(thm)],[f1230,f1206])).
% 21.13/2.96 fof(f1726,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(X2,X3))),X2,X3),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(X3)|pd0_0(sk0_26(X3),sk0_25(X3),sk0_24(X3))|~in(X2,sk0_27(X3))|~in(sk0_29(X2,X3),omega)|sk0_20(powerset(sk0_29(X2,X3)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_29(X2,X3))),X2,X3),X1,X1,X0),sk0_20(powerset(sk0_29(X2,X3))))|sk0_32(sk0_30(sk0_20(powerset(sk0_29(X2,X3))),X2,X3),X1,X1,X0)=sk0_30(sk0_20(powerset(sk0_29(X2,X3))),X2,X3))),
% 21.13/2.96 inference(resolution,[status(thm)],[f1230,f1204])).
% 21.13/2.96 fof(f1732,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_3(sk0_31(sk0_1(X2),sk0_1(X2),X3),X2),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(X3)|pd0_0(sk0_26(X3),sk0_25(X3),sk0_24(X3))|in(sk0_1(X2),sk0_27(X3))|~in(sk0_1(X2),succ(X3))|~ordinal(sk0_1(X2))|in(sk0_1(X2),X2)|~in(sk0_2(X2),omega)|~in(sk0_32(sk0_3(sk0_31(sk0_1(X2),sk0_1(X2),X3),X2),X1,X1,X0),sk0_31(sk0_1(X2),sk0_1(X2),X3))|sk0_32(sk0_3(sk0_31(sk0_1(X2),sk0_1(X2),X3),X2),X1,X1,X0)=sk0_3(sk0_31(sk0_1(X2),sk0_1(X2),X3),X2))),
% 21.13/2.96 inference(resolution,[status(thm)],[f1230,f1218])).
% 21.13/2.96 fof(f1734,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_3(sk0_31(sk0_2(X2),sk0_2(X2),X3),X2),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(X3)|pd0_0(sk0_26(X3),sk0_25(X3),sk0_24(X3))|in(sk0_2(X2),sk0_27(X3))|~in(sk0_2(X2),succ(X3))|in(sk0_1(X2),X2)|~in(sk0_2(X2),omega)|sk0_31(sk0_2(X2),sk0_2(X2),X3)=empty_set|~in(sk0_32(sk0_3(sk0_31(sk0_2(X2),sk0_2(X2),X3),X2),X1,X1,X0),sk0_31(sk0_2(X2),sk0_2(X2),X3))|sk0_32(sk0_3(sk0_31(sk0_2(X2),sk0_2(X2),X3),X2),X1,X1,X0)=sk0_3(sk0_31(sk0_2(X2),sk0_2(X2),X3),X2))),
% 21.13/2.96 inference(resolution,[status(thm)],[f1230,f1222])).
% 21.13/2.96 fof(f1747,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(X2,X3))),X2,X3),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~ordinal(X3)|pd0_0(sk0_26(X3),sk0_25(X3),sk0_24(X3))|~in(X2,sk0_27(X3))|~in(sk0_29(X2,X3),omega)|sk0_8(powerset(sk0_29(X2,X3)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_29(X2,X3))),X2,X3),X1,X1,X0),sk0_8(powerset(sk0_29(X2,X3))))|sk0_32(sk0_30(sk0_8(powerset(sk0_29(X2,X3))),X2,X3),X1,X1,X0)=sk0_30(sk0_8(powerset(sk0_29(X2,X3))),X2,X3))),
% 21.13/2.96 inference(resolution,[status(thm)],[f1231,f1206])).
% 21.13/2.96 fof(f1748,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(X2,X3))),X2,X3),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~ordinal(X3)|pd0_0(sk0_26(X3),sk0_25(X3),sk0_24(X3))|~in(X2,sk0_27(X3))|~in(sk0_29(X2,X3),omega)|sk0_20(powerset(sk0_29(X2,X3)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_29(X2,X3))),X2,X3),X1,X1,X0),sk0_20(powerset(sk0_29(X2,X3))))|sk0_32(sk0_30(sk0_20(powerset(sk0_29(X2,X3))),X2,X3),X1,X1,X0)=sk0_30(sk0_20(powerset(sk0_29(X2,X3))),X2,X3))),
% 21.13/2.96 inference(resolution,[status(thm)],[f1231,f1204])).
% 21.13/2.96 fof(f1756,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_3(sk0_31(sk0_2(X2),sk0_2(X2),X3),X2),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~ordinal(X3)|pd0_0(sk0_26(X3),sk0_25(X3),sk0_24(X3))|in(sk0_2(X2),sk0_27(X3))|~in(sk0_2(X2),succ(X3))|in(sk0_1(X2),X2)|~in(sk0_2(X2),omega)|sk0_31(sk0_2(X2),sk0_2(X2),X3)=empty_set|~in(sk0_32(sk0_3(sk0_31(sk0_2(X2),sk0_2(X2),X3),X2),X1,X1,X0),sk0_31(sk0_2(X2),sk0_2(X2),X3))|sk0_32(sk0_3(sk0_31(sk0_2(X2),sk0_2(X2),X3),X2),X1,X1,X0)=sk0_3(sk0_31(sk0_2(X2),sk0_2(X2),X3),X2))),
% 21.13/2.96 inference(resolution,[status(thm)],[f1231,f1222])).
% 21.13/2.96 fof(f1771,plain,(
% 21.13/2.96 spl0_95 <=> in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~ordinal(powerset(powerset(X0)))|epsilon_connected(sk0_31(X0,X0,sk0_0))),
% 21.13/2.96 introduced(split_symbol_definition)).
% 21.13/2.96 fof(f1774,plain,(
% 21.13/2.96 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_24(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~ordinal(powerset(powerset(X0)))|epsilon_connected(sk0_31(X0,X0,sk0_0))|~spl0_31)),
% 21.13/2.96 inference(paramodulation,[status(thm)],[f724,f1226])).
% 21.13/2.96 fof(f1775,plain,(
% 21.13/2.96 ~spl0_7|spl0_36|spl0_95|~spl0_31),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1774,f354,f767,f1771,f723])).
% 21.13/2.96 fof(f1780,plain,(
% 21.13/2.96 spl0_96 <=> in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~ordinal(powerset(powerset(X0)))|epsilon_transitive(sk0_31(X0,X0,sk0_0))),
% 21.13/2.96 introduced(split_symbol_definition)).
% 21.13/2.96 fof(f1783,plain,(
% 21.13/2.96 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_24(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~ordinal(powerset(powerset(X0)))|epsilon_transitive(sk0_31(X0,X0,sk0_0))|~spl0_31)),
% 21.13/2.96 inference(paramodulation,[status(thm)],[f724,f1227])).
% 21.13/2.96 fof(f1784,plain,(
% 21.13/2.96 ~spl0_7|spl0_36|spl0_96|~spl0_31),
% 21.13/2.96 inference(split_clause,[status(thm)],[f1783,f354,f767,f1780,f723])).
% 21.13/2.96 fof(f1787,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_21(powerset(sk0_29(X1,X0)))=empty_set|~in(sk0_21(powerset(sk0_29(X1,X0))),sk0_30(sk0_21(powerset(sk0_29(X1,X0))),X1,X0)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f1176,f173])).
% 21.13/2.96 fof(f1788,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_7(powerset(sk0_29(X1,X0)))=empty_set|~in(sk0_7(powerset(sk0_29(X1,X0))),sk0_30(sk0_7(powerset(sk0_29(X1,X0))),X1,X0)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f1181,f173])).
% 21.13/2.96 fof(f1789,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~in(sk0_33(X0,X1,X2),omega)|sk0_21(powerset(sk0_33(X0,X1,X2)))=empty_set|~in(sk0_32(sk0_34(sk0_21(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0),sk0_21(powerset(sk0_33(X0,X1,X2))))|sk0_32(sk0_34(sk0_21(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0)=sk0_34(sk0_21(powerset(sk0_33(X0,X1,X2))),X0,X1,X2)|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_34(sk0_21(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|~spl0_71)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1249,f1233])).
% 21.13/2.96 fof(f1794,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~in(sk0_33(X0,X1,X2),omega)|sk0_7(powerset(sk0_33(X0,X1,X2)))=empty_set|~in(sk0_32(sk0_34(sk0_7(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0),sk0_7(powerset(sk0_33(X0,X1,X2))))|sk0_32(sk0_34(sk0_7(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0)=sk0_34(sk0_7(powerset(sk0_33(X0,X1,X2))),X0,X1,X2)|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_34(sk0_7(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|~spl0_71)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1254,f1233])).
% 21.13/2.96 fof(f1799,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~in(sk0_35(X0,X1,X2),omega)|sk0_21(powerset(sk0_35(X0,X1,X2)))=empty_set|~in(sk0_32(sk0_36(sk0_21(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0),sk0_21(powerset(sk0_35(X0,X1,X2))))|sk0_32(sk0_36(sk0_21(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0)=sk0_36(sk0_21(powerset(sk0_35(X0,X1,X2))),X0,X1,X2)|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_36(sk0_21(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|~spl0_71)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1265,f1233])).
% 21.13/2.96 fof(f1804,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~in(sk0_35(X0,X1,X2),omega)|sk0_7(powerset(sk0_35(X0,X1,X2)))=empty_set|~in(sk0_32(sk0_36(sk0_7(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0),sk0_7(powerset(sk0_35(X0,X1,X2))))|sk0_32(sk0_36(sk0_7(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0)=sk0_36(sk0_7(powerset(sk0_35(X0,X1,X2))),X0,X1,X2)|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_36(sk0_7(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|~spl0_71)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1270,f1233])).
% 21.13/2.96 fof(f1809,plain,(
% 21.13/2.96 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_21(powerset(sk0_29(X1,X0)))=empty_set|~in(sk0_32(sk0_30(sk0_21(powerset(sk0_29(X1,X0))),X1,X0),X2,X2,sk0_0),sk0_21(powerset(sk0_29(X1,X0))))|sk0_32(sk0_30(sk0_21(powerset(sk0_29(X1,X0))),X1,X0),X2,X2,sk0_0)=sk0_30(sk0_21(powerset(sk0_29(X1,X0))),X1,X0)|in(X2,sk0_27(sk0_0))|~in(X2,succ(sk0_0))|~ordinal(X2)|~in(sk0_30(sk0_21(powerset(sk0_29(X1,X0))),X1,X0),sk0_31(X2,X2,sk0_0))|~spl0_71)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1202,f1233])).
% 21.13/2.96 fof(f1812,plain,(
% 21.13/2.96 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_21(powerset(sk0_29(X1,X0)))=empty_set|~in(sk0_5(sk0_30(sk0_21(powerset(sk0_29(X1,X0))),X1,X0),sk0_1(X2),X2),sk0_21(powerset(sk0_29(X1,X0))))|sk0_5(sk0_30(sk0_21(powerset(sk0_29(X1,X0))),X1,X0),sk0_1(X2),X2)=sk0_30(sk0_21(powerset(sk0_29(X1,X0))),X1,X0)|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_21(powerset(sk0_29(X1,X0))),X1,X0),sk0_4(sk0_1(X2),X2)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f1202,f246])).
% 21.13/2.96 fof(f1813,plain,(
% 21.13/2.96 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_21(powerset(sk0_29(X1,X0)))=empty_set|~in(sk0_5(sk0_30(sk0_21(powerset(sk0_29(X1,X0))),X1,X0),sk0_1(X2),X2),sk0_21(powerset(sk0_29(X1,X0))))|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_21(powerset(sk0_29(X1,X0))),X1,X0),sk0_4(sk0_1(X2),X2)))),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f1812,f247])).
% 21.13/2.96 fof(f1814,plain,(
% 21.13/2.96 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_7(powerset(sk0_29(X1,X0)))=empty_set|~in(sk0_32(sk0_30(sk0_7(powerset(sk0_29(X1,X0))),X1,X0),X2,X2,sk0_0),sk0_7(powerset(sk0_29(X1,X0))))|sk0_32(sk0_30(sk0_7(powerset(sk0_29(X1,X0))),X1,X0),X2,X2,sk0_0)=sk0_30(sk0_7(powerset(sk0_29(X1,X0))),X1,X0)|in(X2,sk0_27(sk0_0))|~in(X2,succ(sk0_0))|~ordinal(X2)|~in(sk0_30(sk0_7(powerset(sk0_29(X1,X0))),X1,X0),sk0_31(X2,X2,sk0_0))|~spl0_71)),
% 21.13/2.96 inference(resolution,[status(thm)],[f1207,f1233])).
% 21.13/2.96 fof(f1817,plain,(
% 21.13/2.96 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_7(powerset(sk0_29(X1,X0)))=empty_set|~in(sk0_5(sk0_30(sk0_7(powerset(sk0_29(X1,X0))),X1,X0),sk0_1(X2),X2),sk0_7(powerset(sk0_29(X1,X0))))|sk0_5(sk0_30(sk0_7(powerset(sk0_29(X1,X0))),X1,X0),sk0_1(X2),X2)=sk0_30(sk0_7(powerset(sk0_29(X1,X0))),X1,X0)|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_7(powerset(sk0_29(X1,X0))),X1,X0),sk0_4(sk0_1(X2),X2)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f1207,f246])).
% 21.13/2.96 fof(f1818,plain,(
% 21.13/2.96 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_7(powerset(sk0_29(X1,X0)))=empty_set|~in(sk0_5(sk0_30(sk0_7(powerset(sk0_29(X1,X0))),X1,X0),sk0_1(X2),X2),sk0_7(powerset(sk0_29(X1,X0))))|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_7(powerset(sk0_29(X1,X0))),X1,X0),sk0_4(sk0_1(X2),X2)))),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f1817,f247])).
% 21.13/2.96 fof(f1840,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X0)=empty_set|in(sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1),sk0_31(sk0_1(X1),sk0_1(X1),X0))|in(sk0_1(X1),X1))),
% 21.13/2.96 inference(paramodulation,[status(thm)],[f55,f1624])).
% 21.13/2.96 fof(f1841,plain,(
% 21.13/2.96 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X0)=empty_set|in(sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1),sk0_31(sk0_1(X1),sk0_1(X1),X0)))),
% 21.13/2.96 inference(duplicate_literals_removal,[status(esa)],[f1840])).
% 21.13/2.96 fof(f1871,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(X1,X2),sk0_27(X0))|~in(sk0_29(X1,X2),succ(X0))|~ordinal(X2)|pd0_0(sk0_26(X2),sk0_25(X2),sk0_24(X2))|~in(X1,sk0_27(X2))|~in(sk0_29(X1,X2),omega)|sk0_31(sk0_29(X1,X2),sk0_29(X1,X2),X0)=empty_set|~in(sk0_5(sk0_30(sk0_31(sk0_29(X1,X2),sk0_29(X1,X2),X0),X1,X2),sk0_1(X3),X3),sk0_31(sk0_29(X1,X2),sk0_29(X1,X2),X0))|sk0_5(sk0_30(sk0_31(sk0_29(X1,X2),sk0_29(X1,X2),X0),X1,X2),sk0_1(X3),X3)=sk0_30(sk0_31(sk0_29(X1,X2),sk0_29(X1,X2),X0),X1,X2)|~in(sk0_1(X3),X3)|~in(sk0_1(X3),succ(sk0_0))|~ordinal(sk0_1(X3))|~in(sk0_30(sk0_31(sk0_29(X1,X2),sk0_29(X1,X2),X0),X1,X2),sk0_4(sk0_1(X3),X3)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f1214,f246])).
% 21.13/2.96 fof(f1872,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(X1,X2),sk0_27(X0))|~in(sk0_29(X1,X2),succ(X0))|~ordinal(X2)|pd0_0(sk0_26(X2),sk0_25(X2),sk0_24(X2))|~in(X1,sk0_27(X2))|~in(sk0_29(X1,X2),omega)|sk0_31(sk0_29(X1,X2),sk0_29(X1,X2),X0)=empty_set|~in(sk0_5(sk0_30(sk0_31(sk0_29(X1,X2),sk0_29(X1,X2),X0),X1,X2),sk0_1(X3),X3),sk0_31(sk0_29(X1,X2),sk0_29(X1,X2),X0))|~in(sk0_1(X3),X3)|~in(sk0_1(X3),succ(sk0_0))|~ordinal(sk0_1(X3))|~in(sk0_30(sk0_31(sk0_29(X1,X2),sk0_29(X1,X2),X0),X1,X2),sk0_4(sk0_1(X3),X3)))),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f1871,f247])).
% 21.13/2.96 fof(f1873,plain,(
% 21.13/2.96 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(X1,X2),sk0_27(X0))|~in(sk0_29(X1,X2),succ(X0))|~ordinal(X2)|pd0_0(sk0_26(X2),sk0_25(X2),sk0_24(X2))|~in(X1,sk0_27(X2))|~in(sk0_29(X1,X2),omega)|sk0_31(sk0_29(X1,X2),sk0_29(X1,X2),X0)=empty_set|~in(sk0_31(sk0_29(X1,X2),sk0_29(X1,X2),X0),sk0_30(sk0_31(sk0_29(X1,X2),sk0_29(X1,X2),X0),X1,X2)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f1216,f173])).
% 21.13/2.96 fof(f1892,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(X2,X3))),X2,X3),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(X3)|pd0_0(sk0_26(X3),sk0_25(X3),sk0_24(X3))|~in(X2,sk0_27(X3))|~in(sk0_29(X2,X3),omega)|sk0_8(powerset(sk0_29(X2,X3)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_29(X2,X3))),X2,X3),X1,X1,X0),sk0_8(powerset(sk0_29(X2,X3))))|~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(X2,X3))),X2,X3),sk0_31(X1,X1,X0)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f1725,f254])).
% 21.13/2.96 fof(f1893,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(X2,X3))),X2,X3),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(X3)|pd0_0(sk0_26(X3),sk0_25(X3),sk0_24(X3))|~in(X2,sk0_27(X3))|~in(sk0_29(X2,X3),omega)|sk0_8(powerset(sk0_29(X2,X3)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_29(X2,X3))),X2,X3),X1,X1,X0),sk0_8(powerset(sk0_29(X2,X3))))|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0)))),
% 21.13/2.96 inference(duplicate_literals_removal,[status(esa)],[f1892])).
% 21.13/2.96 fof(f1894,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(X2,X3))),X2,X3),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(X3)|pd0_0(sk0_26(X3),sk0_25(X3),sk0_24(X3))|~in(X2,sk0_27(X3))|~in(sk0_29(X2,X3),omega)|sk0_8(powerset(sk0_29(X2,X3)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_29(X2,X3))),X2,X3),X1,X1,X0),sk0_8(powerset(sk0_29(X2,X3)))))),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f1893,f236])).
% 21.13/2.96 fof(f1895,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(X2,X3))),X2,X3),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(X3)|pd0_0(sk0_26(X3),sk0_25(X3),sk0_24(X3))|~in(X2,sk0_27(X3))|~in(sk0_29(X2,X3),omega)|sk0_20(powerset(sk0_29(X2,X3)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_29(X2,X3))),X2,X3),X1,X1,X0),sk0_20(powerset(sk0_29(X2,X3))))|~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(X2,X3))),X2,X3),sk0_31(X1,X1,X0)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f1726,f254])).
% 21.13/2.96 fof(f1896,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(X2,X3))),X2,X3),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(X3)|pd0_0(sk0_26(X3),sk0_25(X3),sk0_24(X3))|~in(X2,sk0_27(X3))|~in(sk0_29(X2,X3),omega)|sk0_20(powerset(sk0_29(X2,X3)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_29(X2,X3))),X2,X3),X1,X1,X0),sk0_20(powerset(sk0_29(X2,X3))))|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0)))),
% 21.13/2.96 inference(duplicate_literals_removal,[status(esa)],[f1895])).
% 21.13/2.96 fof(f1897,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(X2,X3))),X2,X3),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(X3)|pd0_0(sk0_26(X3),sk0_25(X3),sk0_24(X3))|~in(X2,sk0_27(X3))|~in(sk0_29(X2,X3),omega)|sk0_20(powerset(sk0_29(X2,X3)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_29(X2,X3))),X2,X3),X1,X1,X0),sk0_20(powerset(sk0_29(X2,X3)))))),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f1896,f236])).
% 21.13/2.96 fof(f1910,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_3(sk0_31(sk0_2(X2),sk0_2(X2),X3),X2),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(X3)|pd0_0(sk0_26(X3),sk0_25(X3),sk0_24(X3))|in(sk0_2(X2),sk0_27(X3))|~in(sk0_2(X2),succ(X3))|in(sk0_1(X2),X2)|~in(sk0_2(X2),omega)|sk0_31(sk0_2(X2),sk0_2(X2),X3)=empty_set|~in(sk0_32(sk0_3(sk0_31(sk0_2(X2),sk0_2(X2),X3),X2),X1,X1,X0),sk0_31(sk0_2(X2),sk0_2(X2),X3))|~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_3(sk0_31(sk0_2(X2),sk0_2(X2),X3),X2),sk0_31(X1,X1,X0)))),
% 21.13/2.96 inference(resolution,[status(thm)],[f1734,f254])).
% 21.13/2.96 fof(f1911,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_3(sk0_31(sk0_2(X2),sk0_2(X2),X3),X2),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(X3)|pd0_0(sk0_26(X3),sk0_25(X3),sk0_24(X3))|in(sk0_2(X2),sk0_27(X3))|~in(sk0_2(X2),succ(X3))|in(sk0_1(X2),X2)|~in(sk0_2(X2),omega)|sk0_31(sk0_2(X2),sk0_2(X2),X3)=empty_set|~in(sk0_32(sk0_3(sk0_31(sk0_2(X2),sk0_2(X2),X3),X2),X1,X1,X0),sk0_31(sk0_2(X2),sk0_2(X2),X3))|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0)))),
% 21.13/2.96 inference(duplicate_literals_removal,[status(esa)],[f1910])).
% 21.13/2.96 fof(f1912,plain,(
% 21.13/2.96 ![X0,X1,X2,X3]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_3(sk0_31(sk0_2(X2),sk0_2(X2),X3),X2),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(X3)|pd0_0(sk0_26(X3),sk0_25(X3),sk0_24(X3))|in(sk0_2(X2),sk0_27(X3))|~in(sk0_2(X2),succ(X3))|in(sk0_1(X2),X2)|~in(sk0_2(X2),omega)|sk0_31(sk0_2(X2),sk0_2(X2),X3)=empty_set|~in(sk0_32(sk0_3(sk0_31(sk0_2(X2),sk0_2(X2),X3),X2),X1,X1,X0),sk0_31(sk0_2(X2),sk0_2(X2),X3)))),
% 21.13/2.96 inference(forward_subsumption_resolution,[status(thm)],[f1911,f236])).
% 21.13/2.96 fof(f1940,plain,(
% 21.13/2.96 spl0_97 <=> in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_21(powerset(sk0_1(X1))),X1),sk0_31(X0,X0,sk0_0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_21(powerset(sk0_1(X1)))=empty_set|~in(sk0_32(sk0_3(sk0_21(powerset(sk0_1(X1))),X1),X0,X0,sk0_0),sk0_21(powerset(sk0_1(X1))))|in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_21(powerset(sk0_1(X1))),X1),sk0_31(X0,X0,sk0_0))),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f1943,plain,(
% 21.13/2.97 ![X0,X1]: (in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_21(powerset(sk0_1(X1))),X1),sk0_31(X0,X0,sk0_0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_21(powerset(sk0_1(X1)))=empty_set|~in(sk0_32(sk0_3(sk0_21(powerset(sk0_1(X1))),X1),X0,X0,sk0_0),sk0_21(powerset(sk0_1(X1))))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_21(powerset(sk0_1(X1))),X1),sk0_31(X0,X0,sk0_0))|~spl0_71)),
% 21.13/2.97 inference(resolution,[status(thm)],[f1398,f254])).
% 21.13/2.97 fof(f1944,plain,(
% 21.13/2.97 spl0_97|~spl0_7|spl0_67|~spl0_71),
% 21.13/2.97 inference(split_clause,[status(thm)],[f1943,f1940,f354,f1182,f1232])).
% 21.13/2.97 fof(f1972,plain,(
% 21.13/2.97 spl0_98 <=> in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_21(powerset(sk0_2(X1))),X1),sk0_31(X0,X0,sk0_0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_21(powerset(sk0_2(X1)))=empty_set|~in(sk0_32(sk0_3(sk0_21(powerset(sk0_2(X1))),X1),X0,X0,sk0_0),sk0_21(powerset(sk0_2(X1))))|in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_21(powerset(sk0_2(X1))),X1),sk0_31(X0,X0,sk0_0))),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f1975,plain,(
% 21.13/2.97 ![X0,X1]: (in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_21(powerset(sk0_2(X1))),X1),sk0_31(X0,X0,sk0_0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_21(powerset(sk0_2(X1)))=empty_set|~in(sk0_32(sk0_3(sk0_21(powerset(sk0_2(X1))),X1),X0,X0,sk0_0),sk0_21(powerset(sk0_2(X1))))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_21(powerset(sk0_2(X1))),X1),sk0_31(X0,X0,sk0_0))|~spl0_71)),
% 21.13/2.97 inference(resolution,[status(thm)],[f1399,f254])).
% 21.13/2.97 fof(f1976,plain,(
% 21.13/2.97 spl0_98|~spl0_7|spl0_67|~spl0_71),
% 21.13/2.97 inference(split_clause,[status(thm)],[f1975,f1972,f354,f1182,f1232])).
% 21.13/2.97 fof(f1993,plain,(
% 21.13/2.97 ![X0,X1,X2,X3]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_3(sk0_31(sk0_2(X2),sk0_2(X2),X3),X2),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~ordinal(X3)|pd0_0(sk0_26(X3),sk0_25(X3),sk0_24(X3))|in(sk0_2(X2),sk0_27(X3))|~in(sk0_2(X2),succ(X3))|in(sk0_1(X2),X2)|~in(sk0_2(X2),omega)|sk0_31(sk0_2(X2),sk0_2(X2),X3)=empty_set|~in(sk0_32(sk0_3(sk0_31(sk0_2(X2),sk0_2(X2),X3),X2),X1,X1,X0),sk0_31(sk0_2(X2),sk0_2(X2),X3))|~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_3(sk0_31(sk0_2(X2),sk0_2(X2),X3),X2),sk0_31(X1,X1,X0)))),
% 21.13/2.97 inference(resolution,[status(thm)],[f1756,f254])).
% 21.13/2.97 fof(f1994,plain,(
% 21.13/2.97 ![X0,X1,X2,X3]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_3(sk0_31(sk0_2(X2),sk0_2(X2),X3),X2),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~ordinal(X3)|pd0_0(sk0_26(X3),sk0_25(X3),sk0_24(X3))|in(sk0_2(X2),sk0_27(X3))|~in(sk0_2(X2),succ(X3))|in(sk0_1(X2),X2)|~in(sk0_2(X2),omega)|sk0_31(sk0_2(X2),sk0_2(X2),X3)=empty_set|~in(sk0_32(sk0_3(sk0_31(sk0_2(X2),sk0_2(X2),X3),X2),X1,X1,X0),sk0_31(sk0_2(X2),sk0_2(X2),X3))|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0)))),
% 21.13/2.97 inference(duplicate_literals_removal,[status(esa)],[f1993])).
% 21.13/2.97 fof(f1995,plain,(
% 21.13/2.97 ![X0,X1,X2,X3]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_3(sk0_31(sk0_2(X2),sk0_2(X2),X3),X2),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~ordinal(X3)|pd0_0(sk0_26(X3),sk0_25(X3),sk0_24(X3))|in(sk0_2(X2),sk0_27(X3))|~in(sk0_2(X2),succ(X3))|in(sk0_1(X2),X2)|~in(sk0_2(X2),omega)|sk0_31(sk0_2(X2),sk0_2(X2),X3)=empty_set|~in(sk0_32(sk0_3(sk0_31(sk0_2(X2),sk0_2(X2),X3),X2),X1,X1,X0),sk0_31(sk0_2(X2),sk0_2(X2),X3)))),
% 21.13/2.97 inference(forward_subsumption_resolution,[status(thm)],[f1994,f231])).
% 21.13/2.97 fof(f2021,plain,(
% 21.13/2.97 spl0_99 <=> in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_20(powerset(sk0_1(X1))),X1),sk0_31(X0,X0,sk0_0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_20(powerset(sk0_1(X1)))=empty_set|~in(sk0_32(sk0_3(sk0_20(powerset(sk0_1(X1))),X1),X0,X0,sk0_0),sk0_20(powerset(sk0_1(X1))))|in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_20(powerset(sk0_1(X1))),X1),sk0_31(X0,X0,sk0_0))),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2024,plain,(
% 21.13/2.97 ![X0,X1]: (in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_20(powerset(sk0_1(X1))),X1),sk0_31(X0,X0,sk0_0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_20(powerset(sk0_1(X1)))=empty_set|~in(sk0_32(sk0_3(sk0_20(powerset(sk0_1(X1))),X1),X0,X0,sk0_0),sk0_20(powerset(sk0_1(X1))))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_20(powerset(sk0_1(X1))),X1),sk0_31(X0,X0,sk0_0))|~spl0_71)),
% 21.13/2.97 inference(resolution,[status(thm)],[f1401,f254])).
% 21.13/2.97 fof(f2025,plain,(
% 21.13/2.97 spl0_99|~spl0_7|spl0_67|~spl0_71),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2024,f2021,f354,f1182,f1232])).
% 21.13/2.97 fof(f2027,plain,(
% 21.13/2.97 spl0_100 <=> in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_20(powerset(sk0_2(X1))),X1),sk0_31(X0,X0,sk0_0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_20(powerset(sk0_2(X1)))=empty_set|~in(sk0_32(sk0_3(sk0_20(powerset(sk0_2(X1))),X1),X0,X0,sk0_0),sk0_20(powerset(sk0_2(X1))))|in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_20(powerset(sk0_2(X1))),X1),sk0_31(X0,X0,sk0_0))),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2030,plain,(
% 21.13/2.97 ![X0,X1]: (in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_20(powerset(sk0_2(X1))),X1),sk0_31(X0,X0,sk0_0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_20(powerset(sk0_2(X1)))=empty_set|~in(sk0_32(sk0_3(sk0_20(powerset(sk0_2(X1))),X1),X0,X0,sk0_0),sk0_20(powerset(sk0_2(X1))))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_20(powerset(sk0_2(X1))),X1),sk0_31(X0,X0,sk0_0))|~spl0_71)),
% 21.13/2.97 inference(resolution,[status(thm)],[f1402,f254])).
% 21.13/2.97 fof(f2031,plain,(
% 21.13/2.97 spl0_100|~spl0_7|spl0_67|~spl0_71),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2030,f2027,f354,f1182,f1232])).
% 21.13/2.97 fof(f2043,plain,(
% 21.13/2.97 spl0_101 <=> in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_8(powerset(sk0_1(X1))),X1),sk0_31(X0,X0,sk0_0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_8(powerset(sk0_1(X1)))=empty_set|~in(sk0_32(sk0_3(sk0_8(powerset(sk0_1(X1))),X1),X0,X0,sk0_0),sk0_8(powerset(sk0_1(X1))))|in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_8(powerset(sk0_1(X1))),X1),sk0_31(X0,X0,sk0_0))),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2046,plain,(
% 21.13/2.97 ![X0,X1]: (in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_8(powerset(sk0_1(X1))),X1),sk0_31(X0,X0,sk0_0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_8(powerset(sk0_1(X1)))=empty_set|~in(sk0_32(sk0_3(sk0_8(powerset(sk0_1(X1))),X1),X0,X0,sk0_0),sk0_8(powerset(sk0_1(X1))))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_8(powerset(sk0_1(X1))),X1),sk0_31(X0,X0,sk0_0))|~spl0_71)),
% 21.13/2.97 inference(resolution,[status(thm)],[f1404,f254])).
% 21.13/2.97 fof(f2047,plain,(
% 21.13/2.97 spl0_101|~spl0_7|spl0_67|~spl0_71),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2046,f2043,f354,f1182,f1232])).
% 21.13/2.97 fof(f2049,plain,(
% 21.13/2.97 spl0_102 <=> in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_8(powerset(sk0_2(X1))),X1),sk0_31(X0,X0,sk0_0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_8(powerset(sk0_2(X1)))=empty_set|~in(sk0_32(sk0_3(sk0_8(powerset(sk0_2(X1))),X1),X0,X0,sk0_0),sk0_8(powerset(sk0_2(X1))))|in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_8(powerset(sk0_2(X1))),X1),sk0_31(X0,X0,sk0_0))),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2052,plain,(
% 21.13/2.97 ![X0,X1]: (in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_8(powerset(sk0_2(X1))),X1),sk0_31(X0,X0,sk0_0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_8(powerset(sk0_2(X1)))=empty_set|~in(sk0_32(sk0_3(sk0_8(powerset(sk0_2(X1))),X1),X0,X0,sk0_0),sk0_8(powerset(sk0_2(X1))))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_8(powerset(sk0_2(X1))),X1),sk0_31(X0,X0,sk0_0))|~spl0_71)),
% 21.13/2.97 inference(resolution,[status(thm)],[f1405,f254])).
% 21.13/2.97 fof(f2053,plain,(
% 21.13/2.97 spl0_102|~spl0_7|spl0_67|~spl0_71),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2052,f2049,f354,f1182,f1232])).
% 21.13/2.97 fof(f2104,plain,(
% 21.13/2.97 spl0_103 <=> in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_7(powerset(sk0_2(X1))),X1),sk0_31(X0,X0,sk0_0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_7(powerset(sk0_2(X1)))=empty_set|~in(sk0_32(sk0_3(sk0_7(powerset(sk0_2(X1))),X1),X0,X0,sk0_0),sk0_7(powerset(sk0_2(X1))))|in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_7(powerset(sk0_2(X1))),X1),sk0_31(X0,X0,sk0_0))),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2107,plain,(
% 21.13/2.97 ![X0,X1]: (in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_7(powerset(sk0_2(X1))),X1),sk0_31(X0,X0,sk0_0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_7(powerset(sk0_2(X1)))=empty_set|~in(sk0_32(sk0_3(sk0_7(powerset(sk0_2(X1))),X1),X0,X0,sk0_0),sk0_7(powerset(sk0_2(X1))))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_7(powerset(sk0_2(X1))),X1),sk0_31(X0,X0,sk0_0))|~spl0_71)),
% 21.13/2.97 inference(resolution,[status(thm)],[f1406,f254])).
% 21.13/2.97 fof(f2108,plain,(
% 21.13/2.97 spl0_103|~spl0_7|spl0_67|~spl0_71),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2107,f2104,f354,f1182,f1232])).
% 21.13/2.97 fof(f2120,plain,(
% 21.13/2.97 spl0_104 <=> in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_7(powerset(sk0_1(X1))),X1),sk0_31(X0,X0,sk0_0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_7(powerset(sk0_1(X1)))=empty_set|~in(sk0_32(sk0_3(sk0_7(powerset(sk0_1(X1))),X1),X0,X0,sk0_0),sk0_7(powerset(sk0_1(X1))))|in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_7(powerset(sk0_1(X1))),X1),sk0_31(X0,X0,sk0_0))),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2123,plain,(
% 21.13/2.97 ![X0,X1]: (in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_7(powerset(sk0_1(X1))),X1),sk0_31(X0,X0,sk0_0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_7(powerset(sk0_1(X1)))=empty_set|~in(sk0_32(sk0_3(sk0_7(powerset(sk0_1(X1))),X1),X0,X0,sk0_0),sk0_7(powerset(sk0_1(X1))))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_7(powerset(sk0_1(X1))),X1),sk0_31(X0,X0,sk0_0))|~spl0_71)),
% 21.13/2.97 inference(resolution,[status(thm)],[f1408,f254])).
% 21.13/2.97 fof(f2124,plain,(
% 21.13/2.97 spl0_104|~spl0_7|spl0_67|~spl0_71),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2123,f2120,f354,f1182,f1232])).
% 21.13/2.97 fof(f2135,plain,(
% 21.13/2.97 ![X0,X1,X2,X3]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(X2,X3))),X2,X3),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~ordinal(X3)|pd0_0(sk0_26(X3),sk0_25(X3),sk0_24(X3))|~in(X2,sk0_27(X3))|~in(sk0_29(X2,X3),omega)|sk0_8(powerset(sk0_29(X2,X3)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_29(X2,X3))),X2,X3),X1,X1,X0),sk0_8(powerset(sk0_29(X2,X3))))|~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(X2,X3))),X2,X3),sk0_31(X1,X1,X0)))),
% 21.13/2.97 inference(resolution,[status(thm)],[f1747,f254])).
% 21.13/2.97 fof(f2136,plain,(
% 21.13/2.97 ![X0,X1,X2,X3]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(X2,X3))),X2,X3),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~ordinal(X3)|pd0_0(sk0_26(X3),sk0_25(X3),sk0_24(X3))|~in(X2,sk0_27(X3))|~in(sk0_29(X2,X3),omega)|sk0_8(powerset(sk0_29(X2,X3)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_29(X2,X3))),X2,X3),X1,X1,X0),sk0_8(powerset(sk0_29(X2,X3))))|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0)))),
% 21.13/2.97 inference(duplicate_literals_removal,[status(esa)],[f2135])).
% 21.13/2.97 fof(f2137,plain,(
% 21.13/2.97 ![X0,X1,X2,X3]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(X2,X3))),X2,X3),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~ordinal(X3)|pd0_0(sk0_26(X3),sk0_25(X3),sk0_24(X3))|~in(X2,sk0_27(X3))|~in(sk0_29(X2,X3),omega)|sk0_8(powerset(sk0_29(X2,X3)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_29(X2,X3))),X2,X3),X1,X1,X0),sk0_8(powerset(sk0_29(X2,X3)))))),
% 21.13/2.97 inference(forward_subsumption_resolution,[status(thm)],[f2136,f231])).
% 21.13/2.97 fof(f2138,plain,(
% 21.13/2.97 ![X0,X1,X2,X3]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(X2,X3))),X2,X3),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~ordinal(X3)|pd0_0(sk0_26(X3),sk0_25(X3),sk0_24(X3))|~in(X2,sk0_27(X3))|~in(sk0_29(X2,X3),omega)|sk0_20(powerset(sk0_29(X2,X3)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_29(X2,X3))),X2,X3),X1,X1,X0),sk0_20(powerset(sk0_29(X2,X3))))|~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(X2,X3))),X2,X3),sk0_31(X1,X1,X0)))),
% 21.13/2.97 inference(resolution,[status(thm)],[f1748,f254])).
% 21.13/2.97 fof(f2139,plain,(
% 21.13/2.97 ![X0,X1,X2,X3]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(X2,X3))),X2,X3),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~ordinal(X3)|pd0_0(sk0_26(X3),sk0_25(X3),sk0_24(X3))|~in(X2,sk0_27(X3))|~in(sk0_29(X2,X3),omega)|sk0_20(powerset(sk0_29(X2,X3)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_29(X2,X3))),X2,X3),X1,X1,X0),sk0_20(powerset(sk0_29(X2,X3))))|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0)))),
% 21.13/2.97 inference(duplicate_literals_removal,[status(esa)],[f2138])).
% 21.13/2.97 fof(f2140,plain,(
% 21.13/2.97 ![X0,X1,X2,X3]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(X2,X3))),X2,X3),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~ordinal(X3)|pd0_0(sk0_26(X3),sk0_25(X3),sk0_24(X3))|~in(X2,sk0_27(X3))|~in(sk0_29(X2,X3),omega)|sk0_20(powerset(sk0_29(X2,X3)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_29(X2,X3))),X2,X3),X1,X1,X0),sk0_20(powerset(sk0_29(X2,X3)))))),
% 21.13/2.97 inference(forward_subsumption_resolution,[status(thm)],[f2139,f231])).
% 21.13/2.97 fof(f2212,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|~ordinal(sk0_2(X1))|~in(sk0_3(sk0_31(sk0_2(X1),sk0_2(X1),X0),X1),sk0_31(sk0_2(X1),sk0_2(X1),X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X0)=empty_set|~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|~ordinal(sk0_2(X1))|~in(sk0_3(sk0_31(sk0_2(X1),sk0_2(X1),X0),X1),sk0_31(sk0_2(X1),sk0_2(X1),X0)))),
% 21.13/2.97 inference(resolution,[status(thm)],[f1912,f252])).
% 21.13/2.97 fof(f2213,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|~ordinal(sk0_2(X1))|~in(sk0_3(sk0_31(sk0_2(X1),sk0_2(X1),X0),X1),sk0_31(sk0_2(X1),sk0_2(X1),X0))|sk0_24(X0)=sk0_26(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X0)=empty_set)),
% 21.13/2.97 inference(duplicate_literals_removal,[status(esa)],[f2212])).
% 21.13/2.97 fof(f2214,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|~in(sk0_3(sk0_31(sk0_2(X1),sk0_2(X1),X0),X1),sk0_31(sk0_2(X1),sk0_2(X1),X0))|sk0_24(X0)=sk0_26(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X0)=empty_set)),
% 21.13/2.97 inference(forward_subsumption_resolution,[status(thm)],[f2213,f54])).
% 21.13/2.97 fof(f2223,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|sk0_24(X0)=sk0_26(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X0)=empty_set|~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X0)=empty_set)),
% 21.13/2.97 inference(resolution,[status(thm)],[f2214,f1224])).
% 21.13/2.97 fof(f2224,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|sk0_24(X0)=sk0_26(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X0)=empty_set)),
% 21.13/2.97 inference(duplicate_literals_removal,[status(esa)],[f2223])).
% 21.13/2.97 fof(f2225,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|sk0_24(X0)=sk0_26(X0)|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X0)=empty_set)),
% 21.13/2.97 inference(forward_subsumption_resolution,[status(thm)],[f2224,f236])).
% 21.13/2.97 fof(f2234,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|sk0_24(X0)=sk0_26(X0)|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|~ordinal(sk0_2(X1)))),
% 21.13/2.97 inference(resolution,[status(thm)],[f2225,f251])).
% 21.13/2.97 fof(f2235,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|sk0_24(X0)=sk0_26(X0)|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~ordinal(sk0_2(X1)))),
% 21.13/2.97 inference(duplicate_literals_removal,[status(esa)],[f2234])).
% 21.13/2.97 fof(f2236,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|sk0_24(X0)=sk0_26(X0)|in(sk0_1(X1),X1)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~ordinal(sk0_2(X1)))),
% 21.13/2.97 inference(forward_subsumption_resolution,[status(thm)],[f2235,f714])).
% 21.13/2.97 fof(f2241,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|sk0_24(X0)=sk0_26(X0)|in(sk0_1(X1),X1)|~ordinal(sk0_2(X1))|sk0_24(X0)=sk0_26(X0))),
% 21.13/2.97 inference(resolution,[status(thm)],[f2236,f236])).
% 21.13/2.97 fof(f2242,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|sk0_24(X0)=sk0_26(X0)|in(sk0_1(X1),X1)|~ordinal(sk0_2(X1)))),
% 21.13/2.97 inference(duplicate_literals_removal,[status(esa)],[f2241])).
% 21.13/2.97 fof(f2243,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|sk0_24(X0)=sk0_26(X0)|in(sk0_1(X1),X1))),
% 21.13/2.97 inference(forward_subsumption_resolution,[status(thm)],[f2242,f54])).
% 21.13/2.97 fof(f2245,plain,(
% 21.13/2.97 spl0_105 <=> in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_2(X0),succ(sk0_0))|in(sk0_1(X0),X0)|~ordinal(sk0_2(X0))),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2252,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_2(X1),sk0_27(X0))|~in(sk0_1(X1),succ(X0))|sk0_24(X0)=sk0_26(X0)|in(sk0_1(X1),X1)|in(sk0_1(X1),X1))),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f55,f2243])).
% 21.13/2.97 fof(f2253,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_2(X1),sk0_27(X0))|~in(sk0_1(X1),succ(X0))|sk0_24(X0)=sk0_26(X0)|in(sk0_1(X1),X1))),
% 21.13/2.97 inference(duplicate_literals_removal,[status(esa)],[f2252])).
% 21.13/2.97 fof(f2259,plain,(
% 21.13/2.97 spl0_107 <=> in(sk0_2(X0),sk0_27(sk0_0))|in(sk0_1(X0),X0)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2260,plain,(
% 21.13/2.97 ![X0]: (in(sk0_2(X0),sk0_27(sk0_0))|in(sk0_1(X0),X0)|in(sk0_1(X0),X0)|~spl0_107)),
% 21.13/2.97 inference(component_clause,[status(thm)],[f2259])).
% 21.13/2.97 fof(f2262,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|in(sk0_2(X0),sk0_27(sk0_0))|sk0_24(sk0_0)=sk0_26(sk0_0)|in(sk0_1(X0),X0)|in(sk0_1(X0),X0))),
% 21.13/2.97 inference(resolution,[status(thm)],[f2253,f53])).
% 21.13/2.97 fof(f2263,plain,(
% 21.13/2.97 ~spl0_7|spl0_107|spl0_31),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2262,f354,f2259,f723])).
% 21.13/2.97 fof(f2265,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|~ordinal(sk0_2(X1))|~in(sk0_3(sk0_31(sk0_2(X1),sk0_2(X1),X0),X1),sk0_31(sk0_2(X1),sk0_2(X1),X0))|sk0_24(X0)=sk0_25(X0)|~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X0)=empty_set|~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|~ordinal(sk0_2(X1))|~in(sk0_3(sk0_31(sk0_2(X1),sk0_2(X1),X0),X1),sk0_31(sk0_2(X1),sk0_2(X1),X0)))),
% 21.13/2.97 inference(resolution,[status(thm)],[f1995,f252])).
% 21.13/2.97 fof(f2266,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|~ordinal(sk0_2(X1))|~in(sk0_3(sk0_31(sk0_2(X1),sk0_2(X1),X0),X1),sk0_31(sk0_2(X1),sk0_2(X1),X0))|sk0_24(X0)=sk0_25(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X0)=empty_set)),
% 21.13/2.97 inference(duplicate_literals_removal,[status(esa)],[f2265])).
% 21.13/2.97 fof(f2267,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|~in(sk0_3(sk0_31(sk0_2(X1),sk0_2(X1),X0),X1),sk0_31(sk0_2(X1),sk0_2(X1),X0))|sk0_24(X0)=sk0_25(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X0)=empty_set)),
% 21.13/2.97 inference(forward_subsumption_resolution,[status(thm)],[f2266,f54])).
% 21.13/2.97 fof(f2276,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|sk0_24(X0)=sk0_25(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X0)=empty_set|~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X0)=empty_set)),
% 21.13/2.97 inference(resolution,[status(thm)],[f2267,f1224])).
% 21.13/2.97 fof(f2277,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|sk0_24(X0)=sk0_25(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X0)=empty_set)),
% 21.13/2.97 inference(duplicate_literals_removal,[status(esa)],[f2276])).
% 21.13/2.97 fof(f2278,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|sk0_24(X0)=sk0_25(X0)|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X0)=empty_set)),
% 21.13/2.97 inference(forward_subsumption_resolution,[status(thm)],[f2277,f231])).
% 21.13/2.97 fof(f2287,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|sk0_24(X0)=sk0_25(X0)|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|~ordinal(sk0_2(X1)))),
% 21.13/2.97 inference(resolution,[status(thm)],[f2278,f251])).
% 21.13/2.97 fof(f2288,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|sk0_24(X0)=sk0_25(X0)|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~ordinal(sk0_2(X1)))),
% 21.13/2.97 inference(duplicate_literals_removal,[status(esa)],[f2287])).
% 21.13/2.97 fof(f2289,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|sk0_24(X0)=sk0_25(X0)|in(sk0_1(X1),X1)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~ordinal(sk0_2(X1)))),
% 21.13/2.97 inference(forward_subsumption_resolution,[status(thm)],[f2288,f715])).
% 21.13/2.97 fof(f2295,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|sk0_24(X0)=sk0_25(X0)|in(sk0_1(X1),X1)|~ordinal(sk0_2(X1))|sk0_24(X0)=sk0_25(X0))),
% 21.13/2.97 inference(resolution,[status(thm)],[f2289,f231])).
% 21.13/2.97 fof(f2296,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|sk0_24(X0)=sk0_25(X0)|in(sk0_1(X1),X1)|~ordinal(sk0_2(X1)))),
% 21.13/2.97 inference(duplicate_literals_removal,[status(esa)],[f2295])).
% 21.13/2.97 fof(f2297,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_2(X1),sk0_27(X0))|~in(sk0_2(X1),succ(X0))|sk0_24(X0)=sk0_25(X0)|in(sk0_1(X1),X1))),
% 21.13/2.97 inference(forward_subsumption_resolution,[status(thm)],[f2296,f54])).
% 21.13/2.97 fof(f2298,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_2(X0),succ(sk0_0))|sk0_24(sk0_0)=sk0_25(sk0_0)|in(sk0_1(X0),X0)|pd0_0(sk0_24(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~ordinal(sk0_2(X0))|~spl0_31)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f724,f2289])).
% 21.13/2.97 fof(f2299,plain,(
% 21.13/2.97 ~spl0_7|spl0_105|spl0_34|spl0_36|~spl0_31),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2298,f354,f2245,f739,f767,f723])).
% 21.13/2.97 fof(f2302,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_2(X1),sk0_27(X0))|~in(sk0_1(X1),succ(X0))|sk0_24(X0)=sk0_25(X0)|in(sk0_1(X1),X1)|in(sk0_1(X1),X1))),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f55,f2297])).
% 21.13/2.97 fof(f2303,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_2(X1),sk0_27(X0))|~in(sk0_1(X1),succ(X0))|sk0_24(X0)=sk0_25(X0)|in(sk0_1(X1),X1))),
% 21.13/2.97 inference(duplicate_literals_removal,[status(esa)],[f2302])).
% 21.13/2.97 fof(f2306,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|in(sk0_2(X0),sk0_27(sk0_0))|sk0_24(sk0_0)=sk0_25(sk0_0)|in(sk0_1(X0),X0)|in(sk0_1(X0),X0))),
% 21.13/2.97 inference(resolution,[status(thm)],[f2303,f53])).
% 21.13/2.97 fof(f2307,plain,(
% 21.13/2.97 ~spl0_7|spl0_107|spl0_34),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2306,f354,f2259,f739])).
% 21.13/2.97 fof(f2491,plain,(
% 21.13/2.97 spl0_108 <=> ~pd0_0(X0,X1,X2)|~in(sk0_33(X0,X1,X2),omega)|sk0_20(powerset(sk0_33(X0,X1,X2)))=empty_set|~in(sk0_32(sk0_34(sk0_20(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0),sk0_20(powerset(sk0_33(X0,X1,X2))))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_34(sk0_20(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_34(sk0_20(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2494,plain,(
% 21.13/2.97 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~in(sk0_33(X0,X1,X2),omega)|sk0_20(powerset(sk0_33(X0,X1,X2)))=empty_set|~in(sk0_32(sk0_34(sk0_20(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0),sk0_20(powerset(sk0_33(X0,X1,X2))))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_34(sk0_20(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_34(sk0_20(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|~spl0_71)),
% 21.13/2.97 inference(resolution,[status(thm)],[f1580,f254])).
% 21.13/2.97 fof(f2495,plain,(
% 21.13/2.97 spl0_108|~spl0_7|spl0_67|~spl0_71),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2494,f2491,f354,f1182,f1232])).
% 21.13/2.97 fof(f2497,plain,(
% 21.13/2.97 spl0_109 <=> ~pd0_0(X0,X1,X2)|~in(sk0_33(X0,X1,X2),omega)|sk0_8(powerset(sk0_33(X0,X1,X2)))=empty_set|~in(sk0_32(sk0_34(sk0_8(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0),sk0_8(powerset(sk0_33(X0,X1,X2))))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_34(sk0_8(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_34(sk0_8(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2500,plain,(
% 21.13/2.97 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~in(sk0_33(X0,X1,X2),omega)|sk0_8(powerset(sk0_33(X0,X1,X2)))=empty_set|~in(sk0_32(sk0_34(sk0_8(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0),sk0_8(powerset(sk0_33(X0,X1,X2))))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_34(sk0_8(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_34(sk0_8(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|~spl0_71)),
% 21.13/2.97 inference(resolution,[status(thm)],[f1583,f254])).
% 21.13/2.97 fof(f2501,plain,(
% 21.13/2.97 spl0_109|~spl0_7|spl0_67|~spl0_71),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2500,f2497,f354,f1182,f1232])).
% 21.13/2.97 fof(f2503,plain,(
% 21.13/2.97 spl0_110 <=> ~pd0_0(X0,X1,X2)|~in(sk0_35(X0,X1,X2),omega)|sk0_20(powerset(sk0_35(X0,X1,X2)))=empty_set|~in(sk0_32(sk0_36(sk0_20(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0),sk0_20(powerset(sk0_35(X0,X1,X2))))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_36(sk0_20(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_36(sk0_20(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2506,plain,(
% 21.13/2.97 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~in(sk0_35(X0,X1,X2),omega)|sk0_20(powerset(sk0_35(X0,X1,X2)))=empty_set|~in(sk0_32(sk0_36(sk0_20(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0),sk0_20(powerset(sk0_35(X0,X1,X2))))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_36(sk0_20(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_36(sk0_20(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|~spl0_71)),
% 21.13/2.97 inference(resolution,[status(thm)],[f1586,f254])).
% 21.13/2.97 fof(f2507,plain,(
% 21.13/2.97 spl0_110|~spl0_7|spl0_67|~spl0_71),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2506,f2503,f354,f1182,f1232])).
% 21.13/2.97 fof(f2509,plain,(
% 21.13/2.97 spl0_111 <=> ~pd0_0(X0,X1,X2)|~in(sk0_35(X0,X1,X2),omega)|sk0_8(powerset(sk0_35(X0,X1,X2)))=empty_set|~in(sk0_32(sk0_36(sk0_8(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0),sk0_8(powerset(sk0_35(X0,X1,X2))))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_36(sk0_8(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_36(sk0_8(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2512,plain,(
% 21.13/2.97 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~in(sk0_35(X0,X1,X2),omega)|sk0_8(powerset(sk0_35(X0,X1,X2)))=empty_set|~in(sk0_32(sk0_36(sk0_8(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0),sk0_8(powerset(sk0_35(X0,X1,X2))))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_36(sk0_8(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_36(sk0_8(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|~spl0_71)),
% 21.13/2.97 inference(resolution,[status(thm)],[f1589,f254])).
% 21.13/2.97 fof(f2513,plain,(
% 21.13/2.97 spl0_111|~spl0_7|spl0_67|~spl0_71),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2512,f2509,f354,f1182,f1232])).
% 21.13/2.97 fof(f2515,plain,(
% 21.13/2.97 spl0_112 <=> ~pd0_0(X0,X1,X2)|~in(sk0_33(X0,X1,X2),omega)|sk0_21(powerset(sk0_33(X0,X1,X2)))=empty_set|~in(sk0_32(sk0_34(sk0_21(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0),sk0_21(powerset(sk0_33(X0,X1,X2))))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_34(sk0_21(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_34(sk0_21(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2518,plain,(
% 21.13/2.97 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~in(sk0_33(X0,X1,X2),omega)|sk0_21(powerset(sk0_33(X0,X1,X2)))=empty_set|~in(sk0_32(sk0_34(sk0_21(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0),sk0_21(powerset(sk0_33(X0,X1,X2))))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_34(sk0_21(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_34(sk0_21(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|~spl0_71)),
% 21.13/2.97 inference(resolution,[status(thm)],[f1789,f254])).
% 21.13/2.97 fof(f2519,plain,(
% 21.13/2.97 spl0_112|~spl0_7|spl0_67|~spl0_71),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2518,f2515,f354,f1182,f1232])).
% 21.13/2.97 fof(f2521,plain,(
% 21.13/2.97 spl0_113 <=> ~pd0_0(X0,X1,X2)|~in(sk0_33(X0,X1,X2),omega)|sk0_7(powerset(sk0_33(X0,X1,X2)))=empty_set|~in(sk0_32(sk0_34(sk0_7(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0),sk0_7(powerset(sk0_33(X0,X1,X2))))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_34(sk0_7(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_34(sk0_7(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2524,plain,(
% 21.13/2.97 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~in(sk0_33(X0,X1,X2),omega)|sk0_7(powerset(sk0_33(X0,X1,X2)))=empty_set|~in(sk0_32(sk0_34(sk0_7(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0),sk0_7(powerset(sk0_33(X0,X1,X2))))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_34(sk0_7(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_34(sk0_7(powerset(sk0_33(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|~spl0_71)),
% 21.13/2.97 inference(resolution,[status(thm)],[f1794,f254])).
% 21.13/2.97 fof(f2525,plain,(
% 21.13/2.97 spl0_113|~spl0_7|spl0_67|~spl0_71),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2524,f2521,f354,f1182,f1232])).
% 21.13/2.97 fof(f2527,plain,(
% 21.13/2.97 ![X0,X1,X2,X3]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_3(sk0_31(sk0_1(X2),sk0_1(X2),X3),X2),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(X3)|pd0_0(sk0_26(X3),sk0_25(X3),sk0_24(X3))|in(sk0_1(X2),sk0_27(X3))|~in(sk0_1(X2),succ(X3))|~ordinal(sk0_1(X2))|in(sk0_1(X2),X2)|~in(sk0_2(X2),omega)|~in(sk0_32(sk0_3(sk0_31(sk0_1(X2),sk0_1(X2),X3),X2),X1,X1,X0),sk0_31(sk0_1(X2),sk0_1(X2),X3))|~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_3(sk0_31(sk0_1(X2),sk0_1(X2),X3),X2),sk0_31(X1,X1,X0)))),
% 21.13/2.97 inference(resolution,[status(thm)],[f1732,f254])).
% 21.13/2.97 fof(f2528,plain,(
% 21.13/2.97 ![X0,X1,X2,X3]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_3(sk0_31(sk0_1(X2),sk0_1(X2),X3),X2),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(X3)|pd0_0(sk0_26(X3),sk0_25(X3),sk0_24(X3))|in(sk0_1(X2),sk0_27(X3))|~in(sk0_1(X2),succ(X3))|~ordinal(sk0_1(X2))|in(sk0_1(X2),X2)|~in(sk0_2(X2),omega)|~in(sk0_32(sk0_3(sk0_31(sk0_1(X2),sk0_1(X2),X3),X2),X1,X1,X0),sk0_31(sk0_1(X2),sk0_1(X2),X3))|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0)))),
% 21.13/2.97 inference(duplicate_literals_removal,[status(esa)],[f2527])).
% 21.13/2.97 fof(f2529,plain,(
% 21.13/2.97 ![X0,X1,X2,X3]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_3(sk0_31(sk0_1(X2),sk0_1(X2),X3),X2),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(X3)|pd0_0(sk0_26(X3),sk0_25(X3),sk0_24(X3))|in(sk0_1(X2),sk0_27(X3))|~in(sk0_1(X2),succ(X3))|~ordinal(sk0_1(X2))|in(sk0_1(X2),X2)|~in(sk0_2(X2),omega)|~in(sk0_32(sk0_3(sk0_31(sk0_1(X2),sk0_1(X2),X3),X2),X1,X1,X0),sk0_31(sk0_1(X2),sk0_1(X2),X3)))),
% 21.13/2.97 inference(forward_subsumption_resolution,[status(thm)],[f2528,f236])).
% 21.13/2.97 fof(f2534,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_1(X1),sk0_27(X0))|~in(sk0_1(X1),succ(X0))|~ordinal(sk0_1(X1))|~in(sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1),sk0_31(sk0_1(X1),sk0_1(X1),X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_1(X1),sk0_27(X0))|~in(sk0_1(X1),succ(X0))|~ordinal(sk0_1(X1))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_1(X1),sk0_27(X0))|~in(sk0_1(X1),succ(X0))|~ordinal(sk0_1(X1))|~in(sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1),sk0_31(sk0_1(X1),sk0_1(X1),X0)))),
% 21.13/2.97 inference(resolution,[status(thm)],[f2529,f252])).
% 21.13/2.97 fof(f2535,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_1(X1),sk0_27(X0))|~in(sk0_1(X1),succ(X0))|~ordinal(sk0_1(X1))|~in(sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1),sk0_31(sk0_1(X1),sk0_1(X1),X0))|sk0_24(X0)=sk0_26(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega))),
% 21.13/2.97 inference(duplicate_literals_removal,[status(esa)],[f2534])).
% 21.13/2.97 fof(f2536,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_1(X1),sk0_27(X0))|~in(sk0_1(X1),succ(X0))|~ordinal(sk0_1(X1))|sk0_24(X0)=sk0_26(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega))),
% 21.13/2.97 inference(forward_subsumption_resolution,[status(thm)],[f2535,f1220])).
% 21.13/2.97 fof(f2537,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_1(X1),sk0_27(X0))|~in(sk0_1(X1),succ(X0))|~ordinal(sk0_1(X1))|sk0_24(X0)=sk0_26(X0)|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_24(X0)=sk0_26(X0))),
% 21.13/2.97 inference(resolution,[status(thm)],[f2536,f236])).
% 21.13/2.97 fof(f2538,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|in(sk0_1(X1),sk0_27(X0))|~in(sk0_1(X1),succ(X0))|~ordinal(sk0_1(X1))|sk0_24(X0)=sk0_26(X0)|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega))),
% 21.13/2.97 inference(duplicate_literals_removal,[status(esa)],[f2537])).
% 21.13/2.97 fof(f2552,plain,(
% 21.13/2.97 spl0_116 <=> in(sk0_1(X0),sk0_27(sk0_0))|~ordinal(sk0_1(X0))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2555,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|in(sk0_1(X0),sk0_27(sk0_0))|~ordinal(sk0_1(X0))|sk0_24(sk0_0)=sk0_26(sk0_0)|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|in(sk0_1(X0),X0))),
% 21.13/2.97 inference(resolution,[status(thm)],[f2538,f53])).
% 21.13/2.97 fof(f2556,plain,(
% 21.13/2.97 ~spl0_7|spl0_116|spl0_31),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2555,f354,f2552,f723])).
% 21.13/2.97 fof(f2558,plain,(
% 21.13/2.97 spl0_117 <=> ~pd0_0(X0,X1,X2)|~in(sk0_35(X0,X1,X2),omega)|sk0_21(powerset(sk0_35(X0,X1,X2)))=empty_set|~in(sk0_32(sk0_36(sk0_21(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0),sk0_21(powerset(sk0_35(X0,X1,X2))))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_36(sk0_21(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_36(sk0_21(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2561,plain,(
% 21.13/2.97 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~in(sk0_35(X0,X1,X2),omega)|sk0_21(powerset(sk0_35(X0,X1,X2)))=empty_set|~in(sk0_32(sk0_36(sk0_21(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0),sk0_21(powerset(sk0_35(X0,X1,X2))))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_36(sk0_21(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_36(sk0_21(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|~spl0_71)),
% 21.13/2.97 inference(resolution,[status(thm)],[f1799,f254])).
% 21.13/2.97 fof(f2562,plain,(
% 21.13/2.97 spl0_117|~spl0_7|spl0_67|~spl0_71),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2561,f2558,f354,f1182,f1232])).
% 21.13/2.97 fof(f2564,plain,(
% 21.13/2.97 spl0_118 <=> ~pd0_0(X0,X1,X2)|~in(sk0_35(X0,X1,X2),omega)|sk0_7(powerset(sk0_35(X0,X1,X2)))=empty_set|~in(sk0_32(sk0_36(sk0_7(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0),sk0_7(powerset(sk0_35(X0,X1,X2))))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_36(sk0_7(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_36(sk0_7(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2567,plain,(
% 21.13/2.97 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2)|~in(sk0_35(X0,X1,X2),omega)|sk0_7(powerset(sk0_35(X0,X1,X2)))=empty_set|~in(sk0_32(sk0_36(sk0_7(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),X3,X3,sk0_0),sk0_7(powerset(sk0_35(X0,X1,X2))))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_36(sk0_7(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(X3,sk0_27(sk0_0))|~in(X3,succ(sk0_0))|~ordinal(X3)|~in(sk0_36(sk0_7(powerset(sk0_35(X0,X1,X2))),X0,X1,X2),sk0_31(X3,X3,sk0_0))|~spl0_71)),
% 21.13/2.97 inference(resolution,[status(thm)],[f1804,f254])).
% 21.13/2.97 fof(f2568,plain,(
% 21.13/2.97 spl0_118|~spl0_7|spl0_67|~spl0_71),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2567,f2564,f354,f1182,f1232])).
% 21.13/2.97 fof(f2570,plain,(
% 21.13/2.97 spl0_119 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_20(powerset(sk0_29(X1,X0)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_29(X1,X0))),X1,X0),X2,X2,sk0_0),sk0_20(powerset(sk0_29(X1,X0))))|in(X2,sk0_27(sk0_0))|~in(X2,succ(sk0_0))|~ordinal(X2)|~in(sk0_30(sk0_20(powerset(sk0_29(X1,X0))),X1,X0),sk0_31(X2,X2,sk0_0))|in(X2,sk0_27(sk0_0))|~in(X2,succ(sk0_0))|~ordinal(X2)|~in(sk0_30(sk0_20(powerset(sk0_29(X1,X0))),X1,X0),sk0_31(X2,X2,sk0_0))),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2573,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_20(powerset(sk0_29(X1,X0)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_29(X1,X0))),X1,X0),X2,X2,sk0_0),sk0_20(powerset(sk0_29(X1,X0))))|in(X2,sk0_27(sk0_0))|~in(X2,succ(sk0_0))|~ordinal(X2)|~in(sk0_30(sk0_20(powerset(sk0_29(X1,X0))),X1,X0),sk0_31(X2,X2,sk0_0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(X2,sk0_27(sk0_0))|~in(X2,succ(sk0_0))|~ordinal(X2)|~in(sk0_30(sk0_20(powerset(sk0_29(X1,X0))),X1,X0),sk0_31(X2,X2,sk0_0))|~spl0_71)),
% 21.13/2.97 inference(resolution,[status(thm)],[f1592,f254])).
% 21.13/2.97 fof(f2574,plain,(
% 21.13/2.97 spl0_119|~spl0_7|spl0_67|~spl0_71),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2573,f2570,f354,f1182,f1232])).
% 21.13/2.97 fof(f2576,plain,(
% 21.13/2.97 spl0_120 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_8(powerset(sk0_29(X1,X0)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_29(X1,X0))),X1,X0),X2,X2,sk0_0),sk0_8(powerset(sk0_29(X1,X0))))|in(X2,sk0_27(sk0_0))|~in(X2,succ(sk0_0))|~ordinal(X2)|~in(sk0_30(sk0_8(powerset(sk0_29(X1,X0))),X1,X0),sk0_31(X2,X2,sk0_0))|in(X2,sk0_27(sk0_0))|~in(X2,succ(sk0_0))|~ordinal(X2)|~in(sk0_30(sk0_8(powerset(sk0_29(X1,X0))),X1,X0),sk0_31(X2,X2,sk0_0))),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2579,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_8(powerset(sk0_29(X1,X0)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_29(X1,X0))),X1,X0),X2,X2,sk0_0),sk0_8(powerset(sk0_29(X1,X0))))|in(X2,sk0_27(sk0_0))|~in(X2,succ(sk0_0))|~ordinal(X2)|~in(sk0_30(sk0_8(powerset(sk0_29(X1,X0))),X1,X0),sk0_31(X2,X2,sk0_0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(X2,sk0_27(sk0_0))|~in(X2,succ(sk0_0))|~ordinal(X2)|~in(sk0_30(sk0_8(powerset(sk0_29(X1,X0))),X1,X0),sk0_31(X2,X2,sk0_0))|~spl0_71)),
% 21.13/2.97 inference(resolution,[status(thm)],[f1595,f254])).
% 21.13/2.97 fof(f2580,plain,(
% 21.13/2.97 spl0_120|~spl0_7|spl0_67|~spl0_71),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2579,f2576,f354,f1182,f1232])).
% 21.13/2.97 fof(f2582,plain,(
% 21.13/2.97 spl0_121 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_21(powerset(sk0_29(X1,X0)))=empty_set|~in(sk0_32(sk0_30(sk0_21(powerset(sk0_29(X1,X0))),X1,X0),X2,X2,sk0_0),sk0_21(powerset(sk0_29(X1,X0))))|in(X2,sk0_27(sk0_0))|~in(X2,succ(sk0_0))|~ordinal(X2)|~in(sk0_30(sk0_21(powerset(sk0_29(X1,X0))),X1,X0),sk0_31(X2,X2,sk0_0))|in(X2,sk0_27(sk0_0))|~in(X2,succ(sk0_0))|~ordinal(X2)|~in(sk0_30(sk0_21(powerset(sk0_29(X1,X0))),X1,X0),sk0_31(X2,X2,sk0_0))),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2585,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_21(powerset(sk0_29(X1,X0)))=empty_set|~in(sk0_32(sk0_30(sk0_21(powerset(sk0_29(X1,X0))),X1,X0),X2,X2,sk0_0),sk0_21(powerset(sk0_29(X1,X0))))|in(X2,sk0_27(sk0_0))|~in(X2,succ(sk0_0))|~ordinal(X2)|~in(sk0_30(sk0_21(powerset(sk0_29(X1,X0))),X1,X0),sk0_31(X2,X2,sk0_0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(X2,sk0_27(sk0_0))|~in(X2,succ(sk0_0))|~ordinal(X2)|~in(sk0_30(sk0_21(powerset(sk0_29(X1,X0))),X1,X0),sk0_31(X2,X2,sk0_0))|~spl0_71)),
% 21.13/2.97 inference(resolution,[status(thm)],[f1809,f254])).
% 21.13/2.97 fof(f2586,plain,(
% 21.13/2.97 spl0_121|~spl0_7|spl0_67|~spl0_71),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2585,f2582,f354,f1182,f1232])).
% 21.13/2.97 fof(f2588,plain,(
% 21.13/2.97 spl0_122 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_7(powerset(sk0_29(X1,X0)))=empty_set|~in(sk0_32(sk0_30(sk0_7(powerset(sk0_29(X1,X0))),X1,X0),X2,X2,sk0_0),sk0_7(powerset(sk0_29(X1,X0))))|in(X2,sk0_27(sk0_0))|~in(X2,succ(sk0_0))|~ordinal(X2)|~in(sk0_30(sk0_7(powerset(sk0_29(X1,X0))),X1,X0),sk0_31(X2,X2,sk0_0))|in(X2,sk0_27(sk0_0))|~in(X2,succ(sk0_0))|~ordinal(X2)|~in(sk0_30(sk0_7(powerset(sk0_29(X1,X0))),X1,X0),sk0_31(X2,X2,sk0_0))),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2591,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|~in(X1,sk0_27(X0))|~in(sk0_29(X1,X0),omega)|sk0_7(powerset(sk0_29(X1,X0)))=empty_set|~in(sk0_32(sk0_30(sk0_7(powerset(sk0_29(X1,X0))),X1,X0),X2,X2,sk0_0),sk0_7(powerset(sk0_29(X1,X0))))|in(X2,sk0_27(sk0_0))|~in(X2,succ(sk0_0))|~ordinal(X2)|~in(sk0_30(sk0_7(powerset(sk0_29(X1,X0))),X1,X0),sk0_31(X2,X2,sk0_0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(X2,sk0_27(sk0_0))|~in(X2,succ(sk0_0))|~ordinal(X2)|~in(sk0_30(sk0_7(powerset(sk0_29(X1,X0))),X1,X0),sk0_31(X2,X2,sk0_0))|~spl0_71)),
% 21.13/2.97 inference(resolution,[status(thm)],[f1814,f254])).
% 21.13/2.97 fof(f2592,plain,(
% 21.13/2.97 spl0_122|~spl0_7|spl0_67|~spl0_71),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2591,f2588,f354,f1182,f1232])).
% 21.13/2.97 fof(f2594,plain,(
% 21.13/2.97 spl0_123 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_1(X1),sk0_27(X0))|~in(sk0_1(X1),succ(X0))|~ordinal(sk0_1(X1))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|~in(sk0_32(sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1),X2,X2,sk0_0),sk0_31(sk0_1(X1),sk0_1(X1),X0))|in(X2,sk0_27(sk0_0))|~in(X2,succ(sk0_0))|~ordinal(X2)|~in(sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1),sk0_31(X2,X2,sk0_0))|in(X2,sk0_27(sk0_0))|~in(X2,succ(sk0_0))|~ordinal(X2)|~in(sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1),sk0_31(X2,X2,sk0_0))),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2595,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_1(X1),sk0_27(X0))|~in(sk0_1(X1),succ(X0))|~ordinal(sk0_1(X1))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|~in(sk0_32(sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1),X2,X2,sk0_0),sk0_31(sk0_1(X1),sk0_1(X1),X0))|in(X2,sk0_27(sk0_0))|~in(X2,succ(sk0_0))|~ordinal(X2)|~in(sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1),sk0_31(X2,X2,sk0_0))|in(X2,sk0_27(sk0_0))|~in(X2,succ(sk0_0))|~ordinal(X2)|~in(sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1),sk0_31(X2,X2,sk0_0))|~spl0_123)),
% 21.13/2.97 inference(component_clause,[status(thm)],[f2594])).
% 21.13/2.97 fof(f2597,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_1(X1),sk0_27(X0))|~in(sk0_1(X1),succ(X0))|~ordinal(sk0_1(X1))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|~in(sk0_32(sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1),X2,X2,sk0_0),sk0_31(sk0_1(X1),sk0_1(X1),X0))|in(X2,sk0_27(sk0_0))|~in(X2,succ(sk0_0))|~ordinal(X2)|~in(sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1),sk0_31(X2,X2,sk0_0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(X2,sk0_27(sk0_0))|~in(X2,succ(sk0_0))|~ordinal(X2)|~in(sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1),sk0_31(X2,X2,sk0_0))|~spl0_71)),
% 21.13/2.97 inference(resolution,[status(thm)],[f1429,f254])).
% 21.13/2.97 fof(f2598,plain,(
% 21.13/2.97 spl0_123|~spl0_7|spl0_67|~spl0_71),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2597,f2594,f354,f1182,f1232])).
% 21.13/2.97 fof(f2599,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_1(X1),sk0_27(X0))|~in(sk0_1(X1),succ(X0))|~ordinal(sk0_1(X1))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|~in(sk0_32(sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1),X2,X2,sk0_0),sk0_31(sk0_1(X1),sk0_1(X1),X0))|in(X2,sk0_27(sk0_0))|~in(X2,succ(sk0_0))|~ordinal(X2)|~in(sk0_3(sk0_31(sk0_1(X1),sk0_1(X1),X0),X1),sk0_31(X2,X2,sk0_0))|~spl0_123)),
% 21.13/2.97 inference(duplicate_literals_removal,[status(esa)],[f2595])).
% 21.13/2.97 fof(f2600,plain,(
% 21.13/2.97 spl0_124 <=> in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_1(X0),succ(sk0_0))|~ordinal(sk0_1(X0))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_1(X0),succ(sk0_0))|~ordinal(sk0_1(X0))|~in(sk0_3(sk0_31(sk0_1(X0),sk0_1(X0),sk0_0),X0),sk0_31(sk0_1(X0),sk0_1(X0),sk0_0))|in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_1(X0),succ(sk0_0))|~ordinal(sk0_1(X0))|~in(sk0_3(sk0_31(sk0_1(X0),sk0_1(X0),sk0_0),X0),sk0_31(sk0_1(X0),sk0_1(X0),sk0_0))),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2601,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_1(X0),succ(sk0_0))|~ordinal(sk0_1(X0))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_1(X0),succ(sk0_0))|~ordinal(sk0_1(X0))|~in(sk0_3(sk0_31(sk0_1(X0),sk0_1(X0),sk0_0),X0),sk0_31(sk0_1(X0),sk0_1(X0),sk0_0))|in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_1(X0),succ(sk0_0))|~ordinal(sk0_1(X0))|~in(sk0_3(sk0_31(sk0_1(X0),sk0_1(X0),sk0_0),X0),sk0_31(sk0_1(X0),sk0_1(X0),sk0_0))|~spl0_124)),
% 21.13/2.97 inference(component_clause,[status(thm)],[f2600])).
% 21.13/2.97 fof(f2603,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_1(X0),succ(sk0_0))|~ordinal(sk0_1(X0))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_1(X0),succ(sk0_0))|~ordinal(sk0_1(X0))|~in(sk0_3(sk0_31(sk0_1(X0),sk0_1(X0),sk0_0),X0),sk0_31(sk0_1(X0),sk0_1(X0),sk0_0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_1(X0),succ(sk0_0))|~ordinal(sk0_1(X0))|~in(sk0_3(sk0_31(sk0_1(X0),sk0_1(X0),sk0_0),X0),sk0_31(sk0_1(X0),sk0_1(X0),sk0_0))|~spl0_123)),
% 21.13/2.97 inference(resolution,[status(thm)],[f2599,f252])).
% 21.13/2.97 fof(f2604,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_124|~spl0_123),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2603,f354,f1182,f2600,f2594])).
% 21.13/2.97 fof(f2605,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_1(X0),succ(sk0_0))|~ordinal(sk0_1(X0))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|~in(sk0_3(sk0_31(sk0_1(X0),sk0_1(X0),sk0_0),X0),sk0_31(sk0_1(X0),sk0_1(X0),sk0_0))|~spl0_124)),
% 21.13/2.97 inference(duplicate_literals_removal,[status(esa)],[f2601])).
% 21.13/2.97 fof(f2606,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),sk0_27(sk0_0))|~ordinal(sk0_1(X0))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|~in(sk0_3(sk0_31(sk0_1(X0),sk0_1(X0),sk0_0),X0),sk0_31(sk0_1(X0),sk0_1(X0),sk0_0))|~spl0_124)),
% 21.13/2.97 inference(forward_subsumption_resolution,[status(thm)],[f2605,f53])).
% 21.13/2.97 fof(f2607,plain,(
% 21.13/2.97 spl0_125 <=> in(sk0_1(X0),sk0_27(sk0_0))|~ordinal(sk0_1(X0))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_2(X0),succ(sk0_0))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|sk0_31(sk0_2(X0),sk0_2(X0),sk0_0)=empty_set),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2610,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),sk0_27(sk0_0))|~ordinal(sk0_1(X0))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_2(X0),succ(sk0_0))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|sk0_31(sk0_2(X0),sk0_2(X0),sk0_0)=empty_set|~spl0_124)),
% 21.13/2.97 inference(resolution,[status(thm)],[f2606,f1841])).
% 21.13/2.97 fof(f2611,plain,(
% 21.13/2.97 spl0_125|~spl0_7|spl0_67|~spl0_124),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2610,f2607,f354,f1182,f2600])).
% 21.13/2.97 fof(f2612,plain,(
% 21.13/2.97 spl0_126 <=> in(sk0_1(X0),sk0_27(sk0_0))|~ordinal(sk0_1(X0))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_1(X0),succ(sk0_0))|~ordinal(sk0_1(X0))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2613,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),sk0_27(sk0_0))|~ordinal(sk0_1(X0))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_1(X0),succ(sk0_0))|~ordinal(sk0_1(X0))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|~spl0_126)),
% 21.13/2.97 inference(component_clause,[status(thm)],[f2612])).
% 21.13/2.97 fof(f2615,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),sk0_27(sk0_0))|~ordinal(sk0_1(X0))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_1(X0),succ(sk0_0))|~ordinal(sk0_1(X0))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|~spl0_124)),
% 21.13/2.97 inference(resolution,[status(thm)],[f2606,f1220])).
% 21.13/2.97 fof(f2616,plain,(
% 21.13/2.97 spl0_126|~spl0_7|spl0_67|~spl0_124),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2615,f2612,f354,f1182,f2600])).
% 21.13/2.97 fof(f2618,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),sk0_27(sk0_0))|~ordinal(sk0_1(X0))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|~in(sk0_1(X0),succ(sk0_0))|~spl0_126)),
% 21.13/2.97 inference(duplicate_literals_removal,[status(esa)],[f2613])).
% 21.13/2.97 fof(f2619,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),sk0_27(sk0_0))|~ordinal(sk0_1(X0))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|~spl0_126)),
% 21.13/2.97 inference(forward_subsumption_resolution,[status(thm)],[f2618,f53])).
% 21.13/2.97 fof(f2620,plain,(
% 21.13/2.97 spl0_127 <=> in(sk0_2(sk0_27(sk0_0)),omega)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2622,plain,(
% 21.13/2.97 ~in(sk0_2(sk0_27(sk0_0)),omega)|spl0_127),
% 21.13/2.97 inference(component_clause,[status(thm)],[f2620])).
% 21.13/2.97 fof(f2623,plain,(
% 21.13/2.97 ~ordinal(sk0_1(sk0_27(sk0_0)))|in(sk0_1(sk0_27(sk0_0)),sk0_27(sk0_0))|~in(sk0_2(sk0_27(sk0_0)),omega)|~spl0_126|spl0_51),
% 21.13/2.97 inference(resolution,[status(thm)],[f2619,f885])).
% 21.13/2.97 fof(f2624,plain,(
% 21.13/2.97 ~spl0_49|spl0_51|~spl0_127|~spl0_126),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2623,f869,f883,f2620,f2612])).
% 21.13/2.97 fof(f2628,plain,(
% 21.13/2.97 spl0_128 <=> ~ordinal(sk0_1(X0))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|sk0_28(sk0_1(X0),sk0_0)=sk0_1(X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2631,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_1(X0))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|sk0_28(sk0_1(X0),sk0_0)=sk0_1(X0)|~spl0_126)),
% 21.13/2.97 inference(resolution,[status(thm)],[f2619,f701])).
% 21.13/2.97 fof(f2632,plain,(
% 21.13/2.97 spl0_128|spl0_31|~spl0_7|~spl0_126),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2631,f2628,f723,f354,f2612])).
% 21.13/2.97 fof(f2633,plain,(
% 21.13/2.97 spl0_129 <=> ~ordinal(sk0_1(X0))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|sk0_1(X0)=sk0_29(sk0_1(X0),sk0_0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2636,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_1(X0))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|sk0_1(X0)=sk0_29(sk0_1(X0),sk0_0)|~spl0_126)),
% 21.13/2.97 inference(resolution,[status(thm)],[f2619,f700])).
% 21.13/2.97 fof(f2637,plain,(
% 21.13/2.97 spl0_129|spl0_31|~spl0_7|~spl0_126),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2636,f2633,f723,f354,f2612])).
% 21.13/2.97 fof(f2638,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_1(X0))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|sk0_24(sk0_0)=sk0_25(sk0_0)|~ordinal(sk0_0)|sk0_28(sk0_1(X0),sk0_0)=sk0_1(X0)|~spl0_126)),
% 21.13/2.97 inference(resolution,[status(thm)],[f2619,f693])).
% 21.13/2.97 fof(f2639,plain,(
% 21.13/2.97 spl0_128|spl0_34|~spl0_7|~spl0_126),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2638,f2628,f739,f354,f2612])).
% 21.13/2.97 fof(f2640,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_1(X0))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|sk0_24(sk0_0)=sk0_25(sk0_0)|~ordinal(sk0_0)|sk0_1(X0)=sk0_29(sk0_1(X0),sk0_0)|~spl0_126)),
% 21.13/2.97 inference(resolution,[status(thm)],[f2619,f692])).
% 21.13/2.97 fof(f2641,plain,(
% 21.13/2.97 spl0_129|spl0_34|~spl0_7|~spl0_126),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2640,f2633,f739,f354,f2612])).
% 21.13/2.97 fof(f2642,plain,(
% 21.13/2.97 spl0_130 <=> ~ordinal(sk0_1(X0))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|ordinal(sk0_29(sk0_1(X0),sk0_0))),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2645,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_1(X0))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|ordinal(sk0_29(sk0_1(X0),sk0_0))|~spl0_126)),
% 21.13/2.97 inference(resolution,[status(thm)],[f2619,f703])).
% 21.13/2.97 fof(f2646,plain,(
% 21.13/2.97 spl0_130|spl0_31|~spl0_7|~spl0_126),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2645,f2642,f723,f354,f2612])).
% 21.13/2.97 fof(f2647,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_1(X0))|in(sk0_1(X0),X0)|~in(sk0_2(X0),omega)|sk0_24(sk0_0)=sk0_25(sk0_0)|~ordinal(sk0_0)|ordinal(sk0_29(sk0_1(X0),sk0_0))|~spl0_126)),
% 21.13/2.97 inference(resolution,[status(thm)],[f2619,f695])).
% 21.13/2.97 fof(f2648,plain,(
% 21.13/2.97 spl0_130|spl0_34|~spl0_7|~spl0_126),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2647,f2642,f739,f354,f2612])).
% 21.13/2.97 fof(f2655,plain,(
% 21.13/2.97 spl0_131 <=> in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_31(sk0_2(X1),sk0_2(X1),X2),X1),sk0_31(X0,X0,sk0_0))|~ordinal(X2)|pd0_0(sk0_26(X2),sk0_25(X2),sk0_24(X2))|in(sk0_2(X1),sk0_27(X2))|~in(sk0_2(X1),succ(X2))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X2)=empty_set|~in(sk0_32(sk0_3(sk0_31(sk0_2(X1),sk0_2(X1),X2),X1),X0,X0,sk0_0),sk0_31(sk0_2(X1),sk0_2(X1),X2))|in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_31(sk0_2(X1),sk0_2(X1),X2),X1),sk0_31(X0,X0,sk0_0))),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2658,plain,(
% 21.13/2.97 ![X0,X1,X2]: (in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_31(sk0_2(X1),sk0_2(X1),X2),X1),sk0_31(X0,X0,sk0_0))|~ordinal(X2)|pd0_0(sk0_26(X2),sk0_25(X2),sk0_24(X2))|in(sk0_2(X1),sk0_27(X2))|~in(sk0_2(X1),succ(X2))|in(sk0_1(X1),X1)|~in(sk0_2(X1),omega)|sk0_31(sk0_2(X1),sk0_2(X1),X2)=empty_set|~in(sk0_32(sk0_3(sk0_31(sk0_2(X1),sk0_2(X1),X2),X1),X0,X0,sk0_0),sk0_31(sk0_2(X1),sk0_2(X1),X2))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|in(X0,sk0_27(sk0_0))|~in(X0,succ(sk0_0))|~ordinal(X0)|~in(sk0_3(sk0_31(sk0_2(X1),sk0_2(X1),X2),X1),sk0_31(X0,X0,sk0_0))|~spl0_71)),
% 21.13/2.97 inference(resolution,[status(thm)],[f1396,f254])).
% 21.13/2.97 fof(f2659,plain,(
% 21.13/2.97 spl0_131|~spl0_7|spl0_67|~spl0_71),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2658,f2655,f354,f1182,f1232])).
% 21.13/2.97 fof(f2671,plain,(
% 21.13/2.97 ~in(sk0_1(sk0_27(sk0_0)),omega)|in(sk0_1(sk0_27(sk0_0)),sk0_27(sk0_0))|spl0_127),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f55,f2622])).
% 21.13/2.97 fof(f2672,plain,(
% 21.13/2.97 ~spl0_50|spl0_51|spl0_127),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2671,f880,f883,f2620])).
% 21.13/2.97 fof(f2673,plain,(
% 21.13/2.97 ordinal(sk0_1(sk0_27(sk0_0)))|~spl0_44|~spl0_51|~spl0_41),
% 21.13/2.97 inference(backward_demodulation,[status(thm)],[f845,f1042])).
% 21.13/2.97 fof(f2674,plain,(
% 21.13/2.97 spl0_49|~spl0_44|~spl0_51|~spl0_41),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2673,f869,f844,f883,f790])).
% 21.13/2.97 fof(f2677,plain,(
% 21.13/2.97 spl0_55|~spl0_51|~spl0_41),
% 21.13/2.97 inference(split_clause,[status(thm)],[f1042,f948,f883,f790])).
% 21.13/2.97 fof(f2683,plain,(
% 21.13/2.97 ![X0]: (in(sk0_2(X0),sk0_27(sk0_0))|in(sk0_1(X0),X0)|~spl0_107)),
% 21.13/2.97 inference(duplicate_literals_removal,[status(esa)],[f2260])).
% 21.13/2.97 fof(f2689,plain,(
% 21.13/2.97 spl0_36|~spl0_31|~spl0_67),
% 21.13/2.97 inference(split_clause,[status(thm)],[f1196,f767,f723,f1182])).
% 21.13/2.97 fof(f2695,plain,(
% 21.13/2.97 spl0_132 <=> in(sk0_1(X0),X0)|sk0_28(sk0_2(X0),sk0_0)=sk0_2(X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2696,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),X0)|sk0_28(sk0_2(X0),sk0_0)=sk0_2(X0)|~spl0_132)),
% 21.13/2.97 inference(component_clause,[status(thm)],[f2695])).
% 21.13/2.97 fof(f2698,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),X0)|sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|sk0_28(sk0_2(X0),sk0_0)=sk0_2(X0)|~spl0_107)),
% 21.13/2.97 inference(resolution,[status(thm)],[f2683,f701])).
% 21.13/2.97 fof(f2699,plain,(
% 21.13/2.97 spl0_132|spl0_31|~spl0_7|~spl0_107),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2698,f2695,f723,f354,f2259])).
% 21.13/2.97 fof(f2700,plain,(
% 21.13/2.97 spl0_133 <=> in(sk0_1(X0),X0)|sk0_2(X0)=sk0_29(sk0_2(X0),sk0_0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2701,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),X0)|sk0_2(X0)=sk0_29(sk0_2(X0),sk0_0)|~spl0_133)),
% 21.13/2.97 inference(component_clause,[status(thm)],[f2700])).
% 21.13/2.97 fof(f2703,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),X0)|sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|sk0_2(X0)=sk0_29(sk0_2(X0),sk0_0)|~spl0_107)),
% 21.13/2.97 inference(resolution,[status(thm)],[f2683,f700])).
% 21.13/2.97 fof(f2704,plain,(
% 21.13/2.97 spl0_133|spl0_31|~spl0_7|~spl0_107),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2703,f2700,f723,f354,f2259])).
% 21.13/2.97 fof(f2705,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),X0)|sk0_24(sk0_0)=sk0_25(sk0_0)|~ordinal(sk0_0)|sk0_28(sk0_2(X0),sk0_0)=sk0_2(X0)|~spl0_107)),
% 21.13/2.97 inference(resolution,[status(thm)],[f2683,f693])).
% 21.13/2.97 fof(f2706,plain,(
% 21.13/2.97 spl0_132|spl0_34|~spl0_7|~spl0_107),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2705,f2695,f739,f354,f2259])).
% 21.13/2.97 fof(f2707,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),X0)|sk0_24(sk0_0)=sk0_25(sk0_0)|~ordinal(sk0_0)|sk0_2(X0)=sk0_29(sk0_2(X0),sk0_0)|~spl0_107)),
% 21.13/2.97 inference(resolution,[status(thm)],[f2683,f692])).
% 21.13/2.97 fof(f2708,plain,(
% 21.13/2.97 spl0_133|spl0_34|~spl0_7|~spl0_107),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2707,f2700,f739,f354,f2259])).
% 21.13/2.97 fof(f2709,plain,(
% 21.13/2.97 spl0_134 <=> in(sk0_1(X0),X0)|ordinal(sk0_29(sk0_2(X0),sk0_0))),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2712,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),X0)|sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|ordinal(sk0_29(sk0_2(X0),sk0_0))|~spl0_107)),
% 21.13/2.97 inference(resolution,[status(thm)],[f2683,f703])).
% 21.13/2.97 fof(f2713,plain,(
% 21.13/2.97 spl0_134|spl0_31|~spl0_7|~spl0_107),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2712,f2709,f723,f354,f2259])).
% 21.13/2.97 fof(f2714,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),X0)|sk0_24(sk0_0)=sk0_25(sk0_0)|~ordinal(sk0_0)|ordinal(sk0_29(sk0_2(X0),sk0_0))|~spl0_107)),
% 21.13/2.97 inference(resolution,[status(thm)],[f2683,f695])).
% 21.13/2.97 fof(f2715,plain,(
% 21.13/2.97 spl0_134|spl0_34|~spl0_7|~spl0_107),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2714,f2709,f739,f354,f2259])).
% 21.13/2.97 fof(f2717,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),sk0_27(sk0_0))|in(sk0_1(X0),X0)|in(sk0_1(X0),X0)|~spl0_107)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f55,f2683])).
% 21.13/2.97 fof(f2718,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),sk0_27(sk0_0))|in(sk0_1(X0),X0)|~spl0_107)),
% 21.13/2.97 inference(duplicate_literals_removal,[status(esa)],[f2717])).
% 21.13/2.97 fof(f2719,plain,(
% 21.13/2.97 spl0_135 <=> in(sk0_1(X0),X0)|sk0_28(sk0_1(X0),sk0_0)=sk0_1(X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2720,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),X0)|sk0_28(sk0_1(X0),sk0_0)=sk0_1(X0)|~spl0_135)),
% 21.13/2.97 inference(component_clause,[status(thm)],[f2719])).
% 21.13/2.97 fof(f2722,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),X0)|sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|sk0_28(sk0_1(X0),sk0_0)=sk0_1(X0)|~spl0_107)),
% 21.13/2.97 inference(resolution,[status(thm)],[f2718,f701])).
% 21.13/2.97 fof(f2723,plain,(
% 21.13/2.97 spl0_135|spl0_31|~spl0_7|~spl0_107),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2722,f2719,f723,f354,f2259])).
% 21.13/2.97 fof(f2724,plain,(
% 21.13/2.97 spl0_136 <=> in(sk0_1(X0),X0)|sk0_1(X0)=sk0_29(sk0_1(X0),sk0_0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2725,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),X0)|sk0_1(X0)=sk0_29(sk0_1(X0),sk0_0)|~spl0_136)),
% 21.13/2.97 inference(component_clause,[status(thm)],[f2724])).
% 21.13/2.97 fof(f2727,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),X0)|sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|sk0_1(X0)=sk0_29(sk0_1(X0),sk0_0)|~spl0_107)),
% 21.13/2.97 inference(resolution,[status(thm)],[f2718,f700])).
% 21.13/2.97 fof(f2728,plain,(
% 21.13/2.97 spl0_136|spl0_31|~spl0_7|~spl0_107),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2727,f2724,f723,f354,f2259])).
% 21.13/2.97 fof(f2729,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),X0)|sk0_24(sk0_0)=sk0_25(sk0_0)|~ordinal(sk0_0)|sk0_28(sk0_1(X0),sk0_0)=sk0_1(X0)|~spl0_107)),
% 21.13/2.97 inference(resolution,[status(thm)],[f2718,f693])).
% 21.13/2.97 fof(f2730,plain,(
% 21.13/2.97 spl0_135|spl0_34|~spl0_7|~spl0_107),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2729,f2719,f739,f354,f2259])).
% 21.13/2.97 fof(f2731,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),X0)|sk0_24(sk0_0)=sk0_25(sk0_0)|~ordinal(sk0_0)|sk0_1(X0)=sk0_29(sk0_1(X0),sk0_0)|~spl0_107)),
% 21.13/2.97 inference(resolution,[status(thm)],[f2718,f692])).
% 21.13/2.97 fof(f2732,plain,(
% 21.13/2.97 spl0_136|spl0_34|~spl0_7|~spl0_107),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2731,f2724,f739,f354,f2259])).
% 21.13/2.97 fof(f2733,plain,(
% 21.13/2.97 spl0_137 <=> in(sk0_1(X0),X0)|ordinal(sk0_29(sk0_1(X0),sk0_0))),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f2736,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),X0)|sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|ordinal(sk0_29(sk0_1(X0),sk0_0))|~spl0_107)),
% 21.13/2.97 inference(resolution,[status(thm)],[f2718,f703])).
% 21.13/2.97 fof(f2737,plain,(
% 21.13/2.97 spl0_137|spl0_31|~spl0_7|~spl0_107),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2736,f2733,f723,f354,f2259])).
% 21.13/2.97 fof(f2738,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),X0)|sk0_24(sk0_0)=sk0_25(sk0_0)|~ordinal(sk0_0)|ordinal(sk0_29(sk0_1(X0),sk0_0))|~spl0_107)),
% 21.13/2.97 inference(resolution,[status(thm)],[f2718,f695])).
% 21.13/2.97 fof(f2739,plain,(
% 21.13/2.97 spl0_137|spl0_34|~spl0_7|~spl0_107),
% 21.13/2.97 inference(split_clause,[status(thm)],[f2738,f2733,f739,f354,f2259])).
% 21.13/2.97 fof(f3071,plain,(
% 21.13/2.97 ordinal(sk0_2(sk0_27(sk0_0)))|spl0_51),
% 21.13/2.97 inference(resolution,[status(thm)],[f885,f54])).
% 21.13/2.97 fof(f3072,plain,(
% 21.13/2.97 spl0_45|spl0_51),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3071,f847,f883])).
% 21.13/2.97 fof(f3079,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),X0)|sk0_28(sk0_1(X0),sk0_0)=sk0_2(X0)|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f55,f2696])).
% 21.13/2.97 fof(f3080,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),X0)|sk0_28(sk0_1(X0),sk0_0)=sk0_2(X0)|~spl0_132)),
% 21.13/2.97 inference(duplicate_literals_removal,[status(esa)],[f3079])).
% 21.13/2.97 fof(f3081,plain,(
% 21.13/2.97 spl0_192 <=> ~ordinal(sk0_28(sk0_2(X0),sk0_0))|in(sk0_28(sk0_2(X0),sk0_0),omega)|~in(sk0_2(X0),sk0_27(sk0_0))|sk0_28(sk0_2(X0),sk0_0)=sk0_29(sk0_2(X0),sk0_0)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3084,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_2(X0),sk0_0))|in(sk0_28(sk0_2(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_25(sk0_0)|~in(sk0_2(X0),sk0_27(sk0_0))|sk0_28(sk0_2(X0),sk0_0)=sk0_29(sk0_2(X0),sk0_0)|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2696,f1704])).
% 21.13/2.97 fof(f3085,plain,(
% 21.13/2.97 ~spl0_7|spl0_192|spl0_34|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3084,f354,f3081,f739,f2695])).
% 21.13/2.97 fof(f3086,plain,(
% 21.13/2.97 spl0_193 <=> ~ordinal(sk0_28(sk0_2(X0),sk0_0))|in(sk0_28(sk0_2(X0),sk0_0),omega)|~in(sk0_2(X0),sk0_27(sk0_0))|sk0_28(sk0_2(X0),sk0_0)=sk0_28(sk0_2(X0),sk0_0)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3089,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_2(X0),sk0_0))|in(sk0_28(sk0_2(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_25(sk0_0)|~in(sk0_2(X0),sk0_27(sk0_0))|sk0_28(sk0_2(X0),sk0_0)=sk0_28(sk0_2(X0),sk0_0)|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2696,f1702])).
% 21.13/2.97 fof(f3090,plain,(
% 21.13/2.97 ~spl0_7|spl0_193|spl0_34|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3089,f354,f3086,f739,f2695])).
% 21.13/2.97 fof(f3091,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_2(X0),sk0_0))|in(sk0_28(sk0_2(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~in(sk0_2(X0),sk0_27(sk0_0))|sk0_28(sk0_2(X0),sk0_0)=sk0_29(sk0_2(X0),sk0_0)|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2696,f1681])).
% 21.13/2.97 fof(f3092,plain,(
% 21.13/2.97 ~spl0_7|spl0_192|spl0_31|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3091,f354,f3081,f723,f2695])).
% 21.13/2.97 fof(f3093,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_2(X0),sk0_0))|in(sk0_28(sk0_2(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~in(sk0_2(X0),sk0_27(sk0_0))|sk0_28(sk0_2(X0),sk0_0)=sk0_28(sk0_2(X0),sk0_0)|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2696,f1679])).
% 21.13/2.97 fof(f3094,plain,(
% 21.13/2.97 ~spl0_7|spl0_193|spl0_31|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3093,f354,f3086,f723,f2695])).
% 21.13/2.97 fof(f3095,plain,(
% 21.13/2.97 spl0_194 <=> ~ordinal(sk0_28(sk0_2(X0),sk0_0))|in(sk0_28(sk0_2(X0),sk0_0),omega)|~in(sk0_2(X0),sk0_27(sk0_0))|epsilon_transitive(sk0_29(sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3098,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_2(X0),sk0_0))|in(sk0_28(sk0_2(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_25(sk0_0)|~in(sk0_2(X0),sk0_27(sk0_0))|epsilon_transitive(sk0_29(sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2696,f1713])).
% 21.13/2.97 fof(f3099,plain,(
% 21.13/2.97 ~spl0_7|spl0_194|spl0_34|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3098,f354,f3095,f739,f2695])).
% 21.13/2.97 fof(f3100,plain,(
% 21.13/2.97 spl0_195 <=> ~ordinal(sk0_28(sk0_2(X0),sk0_0))|in(sk0_28(sk0_2(X0),sk0_0),omega)|~in(sk0_2(X0),sk0_27(sk0_0))|epsilon_connected(sk0_29(sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3103,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_2(X0),sk0_0))|in(sk0_28(sk0_2(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_25(sk0_0)|~in(sk0_2(X0),sk0_27(sk0_0))|epsilon_connected(sk0_29(sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2696,f1712])).
% 21.13/2.97 fof(f3104,plain,(
% 21.13/2.97 ~spl0_7|spl0_195|spl0_34|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3103,f354,f3100,f739,f2695])).
% 21.13/2.97 fof(f3105,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_2(X0),sk0_0))|in(sk0_28(sk0_2(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~in(sk0_2(X0),sk0_27(sk0_0))|epsilon_transitive(sk0_29(sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2696,f1711])).
% 21.13/2.97 fof(f3106,plain,(
% 21.13/2.97 ~spl0_7|spl0_194|spl0_31|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3105,f354,f3095,f723,f2695])).
% 21.13/2.97 fof(f3107,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_2(X0),sk0_0))|in(sk0_28(sk0_2(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~in(sk0_2(X0),sk0_27(sk0_0))|epsilon_connected(sk0_29(sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2696,f1710])).
% 21.13/2.97 fof(f3108,plain,(
% 21.13/2.97 ~spl0_7|spl0_195|spl0_31|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3107,f354,f3100,f723,f2695])).
% 21.13/2.97 fof(f3109,plain,(
% 21.13/2.97 spl0_196 <=> ~ordinal(sk0_28(sk0_2(X0),sk0_0))|in(sk0_28(sk0_2(X0),sk0_0),omega)|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_27(sk0_0),sk0_2(X0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3112,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_2(X0),sk0_0))|in(sk0_28(sk0_2(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_25(sk0_0)|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_27(sk0_0),sk0_2(X0))|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2696,f1709])).
% 21.13/2.97 fof(f3113,plain,(
% 21.13/2.97 ~spl0_7|spl0_196|spl0_34|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3112,f354,f3109,f739,f2695])).
% 21.13/2.97 fof(f3114,plain,(
% 21.13/2.97 spl0_197 <=> ~ordinal(sk0_28(sk0_2(X0),sk0_0))|in(sk0_28(sk0_2(X0),sk0_0),omega)|~in(sk0_2(X0),sk0_27(sk0_0))|ordinal(sk0_29(sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3117,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_2(X0),sk0_0))|in(sk0_28(sk0_2(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_25(sk0_0)|~in(sk0_2(X0),sk0_27(sk0_0))|ordinal(sk0_29(sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2696,f1708])).
% 21.13/2.97 fof(f3118,plain,(
% 21.13/2.97 ~spl0_7|spl0_197|spl0_34|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3117,f354,f3114,f739,f2695])).
% 21.13/2.97 fof(f3119,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_2(X0),sk0_0))|in(sk0_28(sk0_2(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_27(sk0_0),sk0_2(X0))|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2696,f1690])).
% 21.13/2.97 fof(f3120,plain,(
% 21.13/2.97 ~spl0_7|spl0_196|spl0_31|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3119,f354,f3109,f723,f2695])).
% 21.13/2.97 fof(f3121,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_2(X0),sk0_0))|in(sk0_28(sk0_2(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~in(sk0_2(X0),sk0_27(sk0_0))|ordinal(sk0_29(sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2696,f1687])).
% 21.13/2.97 fof(f3122,plain,(
% 21.13/2.97 ~spl0_7|spl0_197|spl0_31|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3121,f354,f3114,f723,f2695])).
% 21.13/2.97 fof(f3123,plain,(
% 21.13/2.97 spl0_198 <=> in(sk0_2(X0),sk0_27(sk0_0))|~ordinal(sk0_28(sk0_2(X0),sk0_0))|in(sk0_28(sk0_2(X0),sk0_0),omega)|~in(sk0_2(X0),sk0_27(sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3126,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|in(sk0_2(X0),sk0_27(sk0_0))|~ordinal(sk0_28(sk0_2(X0),sk0_0))|in(sk0_28(sk0_2(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_25(sk0_0)|~in(sk0_2(X0),sk0_27(sk0_0))|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2696,f1276])).
% 21.13/2.97 fof(f3127,plain,(
% 21.13/2.97 ~spl0_7|spl0_198|spl0_34|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3126,f354,f3123,f739,f2695])).
% 21.13/2.97 fof(f3128,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|in(sk0_2(X0),sk0_27(sk0_0))|~ordinal(sk0_28(sk0_2(X0),sk0_0))|in(sk0_28(sk0_2(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~in(sk0_2(X0),sk0_27(sk0_0))|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2696,f717])).
% 21.13/2.97 fof(f3129,plain,(
% 21.13/2.97 ~spl0_7|spl0_198|spl0_31|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3128,f354,f3123,f723,f2695])).
% 21.13/2.97 fof(f3130,plain,(
% 21.13/2.97 spl0_199 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(succ(sk0_0),sk0_2(X0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3133,plain,(
% 21.13/2.97 ![X0]: (sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|~in(sk0_2(X0),sk0_27(sk0_0))|~in(succ(sk0_0),sk0_2(X0))|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2696,f713])).
% 21.13/2.97 fof(f3134,plain,(
% 21.13/2.97 spl0_31|~spl0_7|spl0_199|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3133,f723,f354,f3130,f2695])).
% 21.13/2.97 fof(f3135,plain,(
% 21.13/2.97 spl0_200 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|in(sk0_2(X0),succ(sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3138,plain,(
% 21.13/2.97 ![X0]: (sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|~in(sk0_2(X0),sk0_27(sk0_0))|in(sk0_2(X0),succ(sk0_0))|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2696,f702])).
% 21.13/2.97 fof(f3139,plain,(
% 21.13/2.97 spl0_31|~spl0_7|spl0_200|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3138,f723,f354,f3135,f2695])).
% 21.13/2.97 fof(f3140,plain,(
% 21.13/2.97 ![X0]: (sk0_24(sk0_0)=sk0_25(sk0_0)|~ordinal(sk0_0)|~in(sk0_2(X0),sk0_27(sk0_0))|~in(succ(sk0_0),sk0_2(X0))|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2696,f712])).
% 21.13/2.97 fof(f3141,plain,(
% 21.13/2.97 spl0_34|~spl0_7|spl0_199|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3140,f739,f354,f3130,f2695])).
% 21.13/2.97 fof(f3142,plain,(
% 21.13/2.97 ![X0]: (sk0_24(sk0_0)=sk0_25(sk0_0)|~ordinal(sk0_0)|~in(sk0_2(X0),sk0_27(sk0_0))|in(sk0_2(X0),succ(sk0_0))|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2696,f694])).
% 21.13/2.97 fof(f3143,plain,(
% 21.13/2.97 spl0_34|~spl0_7|spl0_200|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3142,f739,f354,f3135,f2695])).
% 21.13/2.97 fof(f3144,plain,(
% 21.13/2.97 spl0_201 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|sk0_2(X0)=sk0_2(X0)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3147,plain,(
% 21.13/2.97 ![X0]: (sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|~in(sk0_2(X0),sk0_27(sk0_0))|sk0_2(X0)=sk0_2(X0)|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2696,f701])).
% 21.13/2.97 fof(f3148,plain,(
% 21.13/2.97 spl0_31|~spl0_7|spl0_201|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3147,f723,f354,f3144,f2695])).
% 21.13/2.97 fof(f3149,plain,(
% 21.13/2.97 ![X0]: (sk0_24(sk0_0)=sk0_25(sk0_0)|~ordinal(sk0_0)|~in(sk0_2(X0),sk0_27(sk0_0))|sk0_2(X0)=sk0_2(X0)|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2696,f693])).
% 21.13/2.97 fof(f3150,plain,(
% 21.13/2.97 spl0_34|~spl0_7|spl0_201|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3149,f739,f354,f3144,f2695])).
% 21.13/2.97 fof(f3156,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),X0)|sk0_2(X0)=sk0_29(sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f55,f2701])).
% 21.13/2.97 fof(f3157,plain,(
% 21.13/2.97 ![X0]: (in(sk0_1(X0),X0)|sk0_2(X0)=sk0_29(sk0_1(X0),sk0_0)|~spl0_133)),
% 21.13/2.97 inference(duplicate_literals_removal,[status(esa)],[f3156])).
% 21.13/2.97 fof(f3158,plain,(
% 21.13/2.97 spl0_202 <=> ~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_2(X2),sk0_0))),sk0_2(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~in(sk0_2(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X2),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_2(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_29(sk0_2(X2),sk0_0))),sk0_2(X2),sk0_0),X1,X1,X0),sk0_20(powerset(sk0_2(X2))))|in(sk0_1(X2),X2)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3161,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_2(X2),sk0_0))),sk0_2(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X2),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_2(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_29(sk0_2(X2),sk0_0))),sk0_2(X2),sk0_0),X1,X1,X0),sk0_20(powerset(sk0_2(X2))))|in(sk0_1(X2),X2)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f2140])).
% 21.13/2.97 fof(f3162,plain,(
% 21.13/2.97 spl0_202|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3161,f3158,f354,f1182,f2700])).
% 21.13/2.97 fof(f3163,plain,(
% 21.13/2.97 spl0_203 <=> ~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_2(X2),sk0_0))),sk0_2(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~in(sk0_2(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X2),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_2(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_2(X2))),sk0_2(X2),sk0_0),X1,X1,X0),sk0_20(powerset(sk0_29(sk0_2(X2),sk0_0))))|in(sk0_1(X2),X2)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3166,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_2(X2),sk0_0))),sk0_2(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X2),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_2(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_2(X2))),sk0_2(X2),sk0_0),X1,X1,X0),sk0_20(powerset(sk0_29(sk0_2(X2),sk0_0))))|in(sk0_1(X2),X2)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f2140])).
% 21.13/2.97 fof(f3167,plain,(
% 21.13/2.97 spl0_203|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3166,f3163,f354,f1182,f2700])).
% 21.13/2.97 fof(f3168,plain,(
% 21.13/2.97 spl0_204 <=> ~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_2(X2),sk0_0))),sk0_2(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~in(sk0_2(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X2),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_2(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_29(sk0_2(X2),sk0_0))),sk0_2(X2),sk0_0),X1,X1,X0),sk0_8(powerset(sk0_2(X2))))|in(sk0_1(X2),X2)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3171,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_2(X2),sk0_0))),sk0_2(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X2),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_2(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_29(sk0_2(X2),sk0_0))),sk0_2(X2),sk0_0),X1,X1,X0),sk0_8(powerset(sk0_2(X2))))|in(sk0_1(X2),X2)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f2137])).
% 21.13/2.97 fof(f3172,plain,(
% 21.13/2.97 spl0_204|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3171,f3168,f354,f1182,f2700])).
% 21.13/2.97 fof(f3173,plain,(
% 21.13/2.97 spl0_205 <=> ~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_2(X2),sk0_0))),sk0_2(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~in(sk0_2(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X2),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_2(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_2(X2))),sk0_2(X2),sk0_0),X1,X1,X0),sk0_8(powerset(sk0_29(sk0_2(X2),sk0_0))))|in(sk0_1(X2),X2)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3176,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_2(X2),sk0_0))),sk0_2(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X2),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_2(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_2(X2))),sk0_2(X2),sk0_0),X1,X1,X0),sk0_8(powerset(sk0_29(sk0_2(X2),sk0_0))))|in(sk0_1(X2),X2)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f2137])).
% 21.13/2.97 fof(f3177,plain,(
% 21.13/2.97 spl0_205|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3176,f3173,f354,f1182,f2700])).
% 21.13/2.97 fof(f3178,plain,(
% 21.13/2.97 spl0_206 <=> ~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_2(X2),sk0_0))),sk0_2(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~in(sk0_2(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X2),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_2(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_29(sk0_2(X2),sk0_0))),sk0_2(X2),sk0_0),X1,X1,X0),sk0_20(powerset(sk0_2(X2))))|in(sk0_1(X2),X2)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3181,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_2(X2),sk0_0))),sk0_2(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X2),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_2(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_29(sk0_2(X2),sk0_0))),sk0_2(X2),sk0_0),X1,X1,X0),sk0_20(powerset(sk0_2(X2))))|in(sk0_1(X2),X2)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1897])).
% 21.13/2.97 fof(f3182,plain,(
% 21.13/2.97 spl0_206|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3181,f3178,f354,f1182,f2700])).
% 21.13/2.97 fof(f3183,plain,(
% 21.13/2.97 spl0_207 <=> ~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_2(X2),sk0_0))),sk0_2(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~in(sk0_2(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X2),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_2(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_2(X2))),sk0_2(X2),sk0_0),X1,X1,X0),sk0_20(powerset(sk0_29(sk0_2(X2),sk0_0))))|in(sk0_1(X2),X2)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3186,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_2(X2),sk0_0))),sk0_2(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X2),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_2(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_2(X2))),sk0_2(X2),sk0_0),X1,X1,X0),sk0_20(powerset(sk0_29(sk0_2(X2),sk0_0))))|in(sk0_1(X2),X2)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1897])).
% 21.13/2.97 fof(f3187,plain,(
% 21.13/2.97 spl0_207|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3186,f3183,f354,f1182,f2700])).
% 21.13/2.97 fof(f3188,plain,(
% 21.13/2.97 spl0_208 <=> ~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_2(X2),sk0_0))),sk0_2(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~in(sk0_2(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X2),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_2(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_29(sk0_2(X2),sk0_0))),sk0_2(X2),sk0_0),X1,X1,X0),sk0_8(powerset(sk0_2(X2))))|in(sk0_1(X2),X2)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3191,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_2(X2),sk0_0))),sk0_2(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X2),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_2(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_29(sk0_2(X2),sk0_0))),sk0_2(X2),sk0_0),X1,X1,X0),sk0_8(powerset(sk0_2(X2))))|in(sk0_1(X2),X2)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1894])).
% 21.13/2.97 fof(f3192,plain,(
% 21.13/2.97 spl0_208|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3191,f3188,f354,f1182,f2700])).
% 21.13/2.97 fof(f3193,plain,(
% 21.13/2.97 spl0_209 <=> ~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_2(X2),sk0_0))),sk0_2(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~in(sk0_2(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X2),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_2(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_2(X2))),sk0_2(X2),sk0_0),X1,X1,X0),sk0_8(powerset(sk0_29(sk0_2(X2),sk0_0))))|in(sk0_1(X2),X2)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3196,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_2(X2),sk0_0))),sk0_2(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X2),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_2(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_2(X2))),sk0_2(X2),sk0_0),X1,X1,X0),sk0_8(powerset(sk0_29(sk0_2(X2),sk0_0))))|in(sk0_1(X2),X2)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1894])).
% 21.13/2.97 fof(f3197,plain,(
% 21.13/2.97 spl0_209|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3196,f3193,f354,f1182,f2700])).
% 21.13/2.97 fof(f3198,plain,(
% 21.13/2.97 spl0_210 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_2(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_2(X1),sk0_0),succ(X0))|~in(sk0_2(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0)=empty_set|~in(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0),sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_2(X1),X0),sk0_2(X1),sk0_0))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3201,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_2(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_2(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0)=empty_set|~in(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0),sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_2(X1),X0),sk0_2(X1),sk0_0))|in(sk0_1(X1),X1)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1873])).
% 21.13/2.97 fof(f3202,plain,(
% 21.13/2.97 spl0_210|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3201,f3198,f354,f1182,f2700])).
% 21.13/2.97 fof(f3203,plain,(
% 21.13/2.97 spl0_211 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_2(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_2(X1),sk0_0),succ(X0))|~in(sk0_2(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0)=empty_set|~in(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0),sk0_30(sk0_31(sk0_2(X1),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3206,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_2(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_2(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0)=empty_set|~in(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0),sk0_30(sk0_31(sk0_2(X1),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0))|in(sk0_1(X1),X1)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1873])).
% 21.13/2.97 fof(f3207,plain,(
% 21.13/2.97 spl0_211|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3206,f3203,f354,f1182,f2700])).
% 21.13/2.97 fof(f3208,plain,(
% 21.13/2.97 spl0_212 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_2(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_2(X1),sk0_0),succ(X0))|~in(sk0_2(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0)=empty_set|~in(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_2(X1),X0),sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3211,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_2(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_2(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0)=empty_set|~in(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_2(X1),X0),sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0))|in(sk0_1(X1),X1)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1873])).
% 21.13/2.97 fof(f3212,plain,(
% 21.13/2.97 spl0_212|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3211,f3208,f354,f1182,f2700])).
% 21.13/2.97 fof(f3213,plain,(
% 21.13/2.97 spl0_213 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_2(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_2(X1),sk0_0),succ(X0))|~in(sk0_2(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0)=empty_set|~in(sk0_31(sk0_2(X1),sk0_29(sk0_2(X1),sk0_0),X0),sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3216,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_2(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_2(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0)=empty_set|~in(sk0_31(sk0_2(X1),sk0_29(sk0_2(X1),sk0_0),X0),sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0))|in(sk0_1(X1),X1)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1873])).
% 21.13/2.97 fof(f3217,plain,(
% 21.13/2.97 spl0_213|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3216,f3213,f354,f1182,f2700])).
% 21.13/2.97 fof(f3218,plain,(
% 21.13/2.97 spl0_214 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_2(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_2(X1),sk0_0),succ(X0))|~in(sk0_2(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0)=empty_set|~in(sk0_5(sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0),sk0_1(X2),X2),sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_2(X1),X0))|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0),sk0_4(sk0_1(X2),X2))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3221,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_2(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_2(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0)=empty_set|~in(sk0_5(sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0),sk0_1(X2),X2),sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_2(X1),X0))|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0),sk0_4(sk0_1(X2),X2))|in(sk0_1(X1),X1)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1872])).
% 21.13/2.97 fof(f3222,plain,(
% 21.13/2.97 spl0_214|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3221,f3218,f354,f1182,f2700])).
% 21.13/2.97 fof(f3223,plain,(
% 21.13/2.97 spl0_215 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_2(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_2(X1),sk0_0),succ(X0))|~in(sk0_2(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0)=empty_set|~in(sk0_5(sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0),sk0_1(X2),X2),sk0_31(sk0_2(X1),sk0_29(sk0_2(X1),sk0_0),X0))|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0),sk0_4(sk0_1(X2),X2))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3226,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_2(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_2(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0)=empty_set|~in(sk0_5(sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0),sk0_1(X2),X2),sk0_31(sk0_2(X1),sk0_29(sk0_2(X1),sk0_0),X0))|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0),sk0_4(sk0_1(X2),X2))|in(sk0_1(X1),X1)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1872])).
% 21.13/2.97 fof(f3227,plain,(
% 21.13/2.97 spl0_215|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3226,f3223,f354,f1182,f2700])).
% 21.13/2.97 fof(f3228,plain,(
% 21.13/2.97 spl0_216 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_2(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_2(X1),sk0_0),succ(X0))|~in(sk0_2(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0)=empty_set|~in(sk0_5(sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_2(X1),X0),sk0_2(X1),sk0_0),sk0_1(X2),X2),sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0))|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0),sk0_4(sk0_1(X2),X2))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3231,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_2(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_2(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0)=empty_set|~in(sk0_5(sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_2(X1),X0),sk0_2(X1),sk0_0),sk0_1(X2),X2),sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0))|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0),sk0_4(sk0_1(X2),X2))|in(sk0_1(X1),X1)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1872])).
% 21.13/2.97 fof(f3232,plain,(
% 21.13/2.97 spl0_216|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3231,f3228,f354,f1182,f2700])).
% 21.13/2.97 fof(f3233,plain,(
% 21.13/2.97 spl0_217 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_2(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_2(X1),sk0_0),succ(X0))|~in(sk0_2(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0)=empty_set|~in(sk0_5(sk0_30(sk0_31(sk0_2(X1),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0),sk0_1(X2),X2),sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0))|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0),sk0_4(sk0_1(X2),X2))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3236,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_2(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_2(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0)=empty_set|~in(sk0_5(sk0_30(sk0_31(sk0_2(X1),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0),sk0_1(X2),X2),sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0))|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0),sk0_4(sk0_1(X2),X2))|in(sk0_1(X1),X1)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1872])).
% 21.13/2.97 fof(f3237,plain,(
% 21.13/2.97 spl0_217|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3236,f3233,f354,f1182,f2700])).
% 21.13/2.97 fof(f3238,plain,(
% 21.13/2.97 spl0_218 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_1(X1),X1),sk0_7(powerset(sk0_2(X0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3241,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_1(X1),X1),sk0_7(powerset(sk0_2(X0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1818])).
% 21.13/2.97 fof(f3242,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_218|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3241,f354,f1182,f3238,f2700])).
% 21.13/2.97 fof(f3243,plain,(
% 21.13/2.97 spl0_219 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_7(powerset(sk0_2(X0))),sk0_2(X0),sk0_0),sk0_1(X1),X1),sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3246,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_7(powerset(sk0_2(X0))),sk0_2(X0),sk0_0),sk0_1(X1),X1),sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1818])).
% 21.13/2.97 fof(f3247,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_219|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3246,f354,f1182,f3243,f2700])).
% 21.13/2.97 fof(f3248,plain,(
% 21.13/2.97 spl0_220 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_1(X1),X1),sk0_21(powerset(sk0_2(X0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3251,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_1(X1),X1),sk0_21(powerset(sk0_2(X0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1813])).
% 21.13/2.97 fof(f3252,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_220|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3251,f354,f1182,f3248,f2700])).
% 21.13/2.97 fof(f3253,plain,(
% 21.13/2.97 spl0_221 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_21(powerset(sk0_2(X0))),sk0_2(X0),sk0_0),sk0_1(X1),X1),sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3256,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_21(powerset(sk0_2(X0))),sk0_2(X0),sk0_0),sk0_1(X1),X1),sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1813])).
% 21.13/2.97 fof(f3257,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_221|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3256,f354,f1182,f3253,f2700])).
% 21.13/2.97 fof(f3258,plain,(
% 21.13/2.97 spl0_222 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_2(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_2(X1),sk0_0),succ(X0))|~in(sk0_2(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0)=empty_set|in(sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0),sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_2(X1),X0))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3261,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_2(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_2(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0)=empty_set|in(sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0),sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_2(X1),X0))|in(sk0_1(X1),X1)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1216])).
% 21.13/2.97 fof(f3262,plain,(
% 21.13/2.97 spl0_222|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3261,f3258,f354,f1182,f2700])).
% 21.13/2.97 fof(f3263,plain,(
% 21.13/2.97 spl0_223 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_2(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_2(X1),sk0_0),succ(X0))|~in(sk0_2(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0)=empty_set|in(sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0),sk0_31(sk0_2(X1),sk0_29(sk0_2(X1),sk0_0),X0))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3266,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_2(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_2(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0)=empty_set|in(sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0),sk0_31(sk0_2(X1),sk0_29(sk0_2(X1),sk0_0),X0))|in(sk0_1(X1),X1)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1216])).
% 21.13/2.97 fof(f3267,plain,(
% 21.13/2.97 spl0_223|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3266,f3263,f354,f1182,f2700])).
% 21.13/2.97 fof(f3268,plain,(
% 21.13/2.97 spl0_224 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_2(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_2(X1),sk0_0),succ(X0))|~in(sk0_2(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0)=empty_set|in(sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_2(X1),X0),sk0_2(X1),sk0_0),sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3271,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_2(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_2(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0)=empty_set|in(sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_2(X1),X0),sk0_2(X1),sk0_0),sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0))|in(sk0_1(X1),X1)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1216])).
% 21.13/2.97 fof(f3272,plain,(
% 21.13/2.97 spl0_224|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3271,f3268,f354,f1182,f2700])).
% 21.13/2.97 fof(f3273,plain,(
% 21.13/2.97 spl0_225 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_2(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_2(X1),sk0_0),succ(X0))|~in(sk0_2(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0)=empty_set|in(sk0_30(sk0_31(sk0_2(X1),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0),sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3276,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_2(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_2(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0)=empty_set|in(sk0_30(sk0_31(sk0_2(X1),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0),sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0))|in(sk0_1(X1),X1)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1216])).
% 21.13/2.97 fof(f3277,plain,(
% 21.13/2.97 spl0_225|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3276,f3273,f354,f1182,f2700])).
% 21.13/2.97 fof(f3278,plain,(
% 21.13/2.97 spl0_226 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_2(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_2(X1),sk0_0),succ(X0))|~in(sk0_2(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0)=empty_set|~in(X2,sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0))|~subset(sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_2(X1),X0),sk0_2(X1),sk0_0),X2)|X2=sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0)|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3281,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_2(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_2(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0)=empty_set|~in(X2,sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0))|~subset(sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_2(X1),X0),sk0_2(X1),sk0_0),X2)|X2=sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0)|in(sk0_1(X1),X1)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1214])).
% 21.13/2.97 fof(f3282,plain,(
% 21.13/2.97 spl0_226|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3281,f3278,f354,f1182,f2700])).
% 21.13/2.97 fof(f3283,plain,(
% 21.13/2.97 spl0_227 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_2(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_2(X1),sk0_0),succ(X0))|~in(sk0_2(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0)=empty_set|~in(X2,sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0))|~subset(sk0_30(sk0_31(sk0_2(X1),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0),X2)|X2=sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0)|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3286,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_2(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_2(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0)=empty_set|~in(X2,sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0))|~subset(sk0_30(sk0_31(sk0_2(X1),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0),X2)|X2=sk0_30(sk0_31(sk0_29(sk0_2(X1),sk0_0),sk0_29(sk0_2(X1),sk0_0),X0),sk0_2(X1),sk0_0)|in(sk0_1(X1),X1)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1214])).
% 21.13/2.97 fof(f3287,plain,(
% 21.13/2.97 spl0_227|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3286,f3283,f354,f1182,f2700])).
% 21.13/2.97 fof(f3288,plain,(
% 21.13/2.97 spl0_228 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(X1,sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0))))|~subset(sk0_30(sk0_7(powerset(sk0_2(X0))),sk0_2(X0),sk0_0),X1)|X1=sk0_30(sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3291,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(X1,sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0))))|~subset(sk0_30(sk0_7(powerset(sk0_2(X0))),sk0_2(X0),sk0_0),X1)|X1=sk0_30(sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0)|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1207])).
% 21.13/2.97 fof(f3292,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_228|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3291,f354,f1182,f3288,f2700])).
% 21.13/2.97 fof(f3293,plain,(
% 21.13/2.97 spl0_229 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(X1,sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0))))|~subset(sk0_30(sk0_21(powerset(sk0_2(X0))),sk0_2(X0),sk0_0),X1)|X1=sk0_30(sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3296,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(X1,sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0))))|~subset(sk0_30(sk0_21(powerset(sk0_2(X0))),sk0_2(X0),sk0_0),X1)|X1=sk0_30(sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0)|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1202])).
% 21.13/2.97 fof(f3297,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_229|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3296,f354,f1182,f3293,f2700])).
% 21.13/2.97 fof(f3298,plain,(
% 21.13/2.97 spl0_230 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_30(sk0_7(powerset(sk0_2(X0))),sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3301,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_30(sk0_7(powerset(sk0_2(X0))),sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1788])).
% 21.13/2.97 fof(f3302,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_230|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3301,f354,f1182,f3298,f2700])).
% 21.13/2.97 fof(f3303,plain,(
% 21.13/2.97 spl0_231 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_7(powerset(sk0_2(X0))),sk0_30(sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3306,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_7(powerset(sk0_2(X0))),sk0_30(sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1788])).
% 21.13/2.97 fof(f3307,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_231|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3306,f354,f1182,f3303,f2700])).
% 21.13/2.97 fof(f3308,plain,(
% 21.13/2.97 spl0_232 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_30(sk0_21(powerset(sk0_2(X0))),sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3311,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_30(sk0_21(powerset(sk0_2(X0))),sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1787])).
% 21.13/2.97 fof(f3312,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_232|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3311,f354,f1182,f3308,f2700])).
% 21.13/2.97 fof(f3313,plain,(
% 21.13/2.97 spl0_233 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_21(powerset(sk0_2(X0))),sk0_30(sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3316,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_21(powerset(sk0_2(X0))),sk0_30(sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1787])).
% 21.13/2.97 fof(f3317,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_233|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3316,f354,f1182,f3313,f2700])).
% 21.13/2.97 fof(f3318,plain,(
% 21.13/2.97 spl0_234 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|in(sk0_30(sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_7(powerset(sk0_2(X0))))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3321,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|in(sk0_30(sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_7(powerset(sk0_2(X0))))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1181])).
% 21.13/2.97 fof(f3322,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_234|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3321,f354,f1182,f3318,f2700])).
% 21.13/2.97 fof(f3323,plain,(
% 21.13/2.97 spl0_235 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|in(sk0_30(sk0_7(powerset(sk0_2(X0))),sk0_2(X0),sk0_0),sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0))))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3326,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|in(sk0_30(sk0_7(powerset(sk0_2(X0))),sk0_2(X0),sk0_0),sk0_7(powerset(sk0_29(sk0_2(X0),sk0_0))))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1181])).
% 21.13/2.97 fof(f3327,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_235|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3326,f354,f1182,f3323,f2700])).
% 21.13/2.97 fof(f3328,plain,(
% 21.13/2.97 spl0_236 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|in(sk0_30(sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_21(powerset(sk0_2(X0))))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3331,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|in(sk0_30(sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_21(powerset(sk0_2(X0))))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1176])).
% 21.13/2.97 fof(f3332,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_236|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3331,f354,f1182,f3328,f2700])).
% 21.13/2.97 fof(f3333,plain,(
% 21.13/2.97 spl0_237 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|in(sk0_30(sk0_21(powerset(sk0_2(X0))),sk0_2(X0),sk0_0),sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0))))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3336,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|in(sk0_30(sk0_21(powerset(sk0_2(X0))),sk0_2(X0),sk0_0),sk0_21(powerset(sk0_29(sk0_2(X0),sk0_0))))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1176])).
% 21.13/2.97 fof(f3337,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_237|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3336,f354,f1182,f3333,f2700])).
% 21.13/2.97 fof(f3338,plain,(
% 21.13/2.97 spl0_238 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_1(X1),X1),sk0_8(powerset(sk0_2(X0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3341,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_1(X1),X1),sk0_8(powerset(sk0_2(X0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1597])).
% 21.13/2.97 fof(f3342,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_238|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3341,f354,f1182,f3338,f2700])).
% 21.13/2.97 fof(f3343,plain,(
% 21.13/2.97 spl0_239 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_8(powerset(sk0_2(X0))),sk0_2(X0),sk0_0),sk0_1(X1),X1),sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3346,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_8(powerset(sk0_2(X0))),sk0_2(X0),sk0_0),sk0_1(X1),X1),sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1597])).
% 21.13/2.97 fof(f3347,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_239|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3346,f354,f1182,f3343,f2700])).
% 21.13/2.97 fof(f3348,plain,(
% 21.13/2.97 spl0_240 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_1(X1),X1),sk0_20(powerset(sk0_2(X0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3351,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_1(X1),X1),sk0_20(powerset(sk0_2(X0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1594])).
% 21.13/2.97 fof(f3352,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_240|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3351,f354,f1182,f3348,f2700])).
% 21.13/2.97 fof(f3353,plain,(
% 21.13/2.97 spl0_241 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_20(powerset(sk0_2(X0))),sk0_2(X0),sk0_0),sk0_1(X1),X1),sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3356,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_20(powerset(sk0_2(X0))),sk0_2(X0),sk0_0),sk0_1(X1),X1),sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1594])).
% 21.13/2.97 fof(f3357,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_241|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3356,f354,f1182,f3353,f2700])).
% 21.13/2.97 fof(f3358,plain,(
% 21.13/2.97 spl0_242 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(X1,sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0))))|~subset(sk0_30(sk0_8(powerset(sk0_2(X0))),sk0_2(X0),sk0_0),X1)|X1=sk0_30(sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3361,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(X1,sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0))))|~subset(sk0_30(sk0_8(powerset(sk0_2(X0))),sk0_2(X0),sk0_0),X1)|X1=sk0_30(sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0)|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1206])).
% 21.13/2.97 fof(f3362,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_242|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3361,f354,f1182,f3358,f2700])).
% 21.13/2.97 fof(f3363,plain,(
% 21.13/2.97 spl0_243 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(X1,sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0))))|~subset(sk0_30(sk0_20(powerset(sk0_2(X0))),sk0_2(X0),sk0_0),X1)|X1=sk0_30(sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3366,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(X1,sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0))))|~subset(sk0_30(sk0_20(powerset(sk0_2(X0))),sk0_2(X0),sk0_0),X1)|X1=sk0_30(sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0)|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1204])).
% 21.13/2.97 fof(f3367,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_243|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3366,f354,f1182,f3363,f2700])).
% 21.13/2.97 fof(f3368,plain,(
% 21.13/2.97 spl0_244 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_30(sk0_8(powerset(sk0_2(X0))),sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3371,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_30(sk0_8(powerset(sk0_2(X0))),sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1579])).
% 21.13/2.97 fof(f3372,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_244|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3371,f354,f1182,f3368,f2700])).
% 21.13/2.97 fof(f3373,plain,(
% 21.13/2.97 spl0_245 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_8(powerset(sk0_2(X0))),sk0_30(sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3376,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_8(powerset(sk0_2(X0))),sk0_30(sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1579])).
% 21.13/2.97 fof(f3377,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_245|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3376,f354,f1182,f3373,f2700])).
% 21.13/2.97 fof(f3378,plain,(
% 21.13/2.97 spl0_246 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_30(sk0_20(powerset(sk0_2(X0))),sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3381,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_30(sk0_20(powerset(sk0_2(X0))),sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1578])).
% 21.13/2.97 fof(f3382,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_246|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3381,f354,f1182,f3378,f2700])).
% 21.13/2.97 fof(f3383,plain,(
% 21.13/2.97 spl0_247 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_20(powerset(sk0_2(X0))),sk0_30(sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3386,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|~in(sk0_20(powerset(sk0_2(X0))),sk0_30(sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1578])).
% 21.13/2.97 fof(f3387,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_247|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3386,f354,f1182,f3383,f2700])).
% 21.13/2.97 fof(f3388,plain,(
% 21.13/2.97 spl0_248 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|in(sk0_30(sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_8(powerset(sk0_2(X0))))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3391,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|in(sk0_30(sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_8(powerset(sk0_2(X0))))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1180])).
% 21.13/2.97 fof(f3392,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_248|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3391,f354,f1182,f3388,f2700])).
% 21.13/2.97 fof(f3393,plain,(
% 21.13/2.97 spl0_249 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|in(sk0_30(sk0_8(powerset(sk0_2(X0))),sk0_2(X0),sk0_0),sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0))))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3396,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|in(sk0_30(sk0_8(powerset(sk0_2(X0))),sk0_2(X0),sk0_0),sk0_8(powerset(sk0_29(sk0_2(X0),sk0_0))))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1180])).
% 21.13/2.97 fof(f3397,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_249|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3396,f354,f1182,f3393,f2700])).
% 21.13/2.97 fof(f3398,plain,(
% 21.13/2.97 spl0_250 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|in(sk0_30(sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_20(powerset(sk0_2(X0))))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3401,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|in(sk0_30(sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0))),sk0_2(X0),sk0_0),sk0_20(powerset(sk0_2(X0))))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1178])).
% 21.13/2.97 fof(f3402,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_250|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3401,f354,f1182,f3398,f2700])).
% 21.13/2.97 fof(f3403,plain,(
% 21.13/2.97 spl0_251 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|in(sk0_30(sk0_20(powerset(sk0_2(X0))),sk0_2(X0),sk0_0),sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0))))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3406,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0)))=empty_set|in(sk0_30(sk0_20(powerset(sk0_2(X0))),sk0_2(X0),sk0_0),sk0_20(powerset(sk0_29(sk0_2(X0),sk0_0))))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f1178])).
% 21.13/2.97 fof(f3407,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_251|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3406,f354,f1182,f3403,f2700])).
% 21.13/2.97 fof(f3408,plain,(
% 21.13/2.97 spl0_252 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|~element(X1,powerset(powerset(sk0_2(X0))))|X1=empty_set|~in(X2,X1)|~subset(sk0_30(X1,sk0_2(X0),sk0_0),X2)|X2=sk0_30(X1,sk0_2(X0),sk0_0)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3411,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|~element(X1,powerset(powerset(sk0_2(X0))))|X1=empty_set|~in(X2,X1)|~subset(sk0_30(X1,sk0_2(X0),sk0_0),X2)|X2=sk0_30(X1,sk0_2(X0),sk0_0)|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f222])).
% 21.13/2.97 fof(f3412,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_252|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3411,f354,f1182,f3408,f2700])).
% 21.13/2.97 fof(f3413,plain,(
% 21.13/2.97 spl0_253 <=> ~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|~element(X1,powerset(powerset(sk0_2(X0))))|X1=empty_set|in(sk0_30(X1,sk0_2(X0),sk0_0),X1)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3416,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_2(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_2(X0),sk0_0),omega)|~element(X1,powerset(powerset(sk0_2(X0))))|X1=empty_set|in(sk0_30(X1,sk0_2(X0),sk0_0),X1)|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2701,f221])).
% 21.13/2.97 fof(f3417,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_253|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3416,f354,f1182,f3413,f2700])).
% 21.13/2.97 fof(f3422,plain,(
% 21.13/2.97 in(sk0_1(sk0_27(sk0_0)),sk0_27(sk0_0))|sk0_1(sk0_27(sk0_0))=sk0_1(sk0_27(sk0_0))|~spl0_135|~spl0_54),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f938,f2720])).
% 21.13/2.97 fof(f3423,plain,(
% 21.13/2.97 spl0_51|spl0_46|~spl0_135|~spl0_54),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3422,f883,f852,f2719,f937])).
% 21.13/2.97 fof(f3437,plain,(
% 21.13/2.97 spl0_255 <=> ~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|~in(sk0_1(X0),sk0_27(sk0_0))|sk0_28(sk0_1(X0),sk0_0)=sk0_29(sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3440,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_25(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|sk0_28(sk0_1(X0),sk0_0)=sk0_29(sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)|~spl0_135)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2720,f1704])).
% 21.13/2.97 fof(f3441,plain,(
% 21.13/2.97 ~spl0_7|spl0_255|spl0_34|~spl0_135),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3440,f354,f3437,f739,f2719])).
% 21.13/2.97 fof(f3442,plain,(
% 21.13/2.97 spl0_256 <=> ~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|~in(sk0_1(X0),sk0_27(sk0_0))|sk0_28(sk0_1(X0),sk0_0)=sk0_28(sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3445,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_25(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|sk0_28(sk0_1(X0),sk0_0)=sk0_28(sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)|~spl0_135)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2720,f1702])).
% 21.13/2.97 fof(f3446,plain,(
% 21.13/2.97 ~spl0_7|spl0_256|spl0_34|~spl0_135),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3445,f354,f3442,f739,f2719])).
% 21.13/2.97 fof(f3447,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|sk0_28(sk0_1(X0),sk0_0)=sk0_29(sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)|~spl0_135)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2720,f1681])).
% 21.13/2.97 fof(f3448,plain,(
% 21.13/2.97 ~spl0_7|spl0_255|spl0_31|~spl0_135),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3447,f354,f3437,f723,f2719])).
% 21.13/2.97 fof(f3449,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|sk0_28(sk0_1(X0),sk0_0)=sk0_28(sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)|~spl0_135)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2720,f1679])).
% 21.13/2.97 fof(f3450,plain,(
% 21.13/2.97 ~spl0_7|spl0_256|spl0_31|~spl0_135),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3449,f354,f3442,f723,f2719])).
% 21.13/2.97 fof(f3451,plain,(
% 21.13/2.97 spl0_257 <=> ~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|~in(sk0_1(X0),sk0_27(sk0_0))|epsilon_transitive(sk0_29(sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3454,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_25(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|epsilon_transitive(sk0_29(sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_135)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2720,f1713])).
% 21.13/2.97 fof(f3455,plain,(
% 21.13/2.97 ~spl0_7|spl0_257|spl0_34|~spl0_135),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3454,f354,f3451,f739,f2719])).
% 21.13/2.97 fof(f3456,plain,(
% 21.13/2.97 spl0_258 <=> ~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|~in(sk0_1(X0),sk0_27(sk0_0))|epsilon_connected(sk0_29(sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3459,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_25(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|epsilon_connected(sk0_29(sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_135)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2720,f1712])).
% 21.13/2.97 fof(f3460,plain,(
% 21.13/2.97 ~spl0_7|spl0_258|spl0_34|~spl0_135),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3459,f354,f3456,f739,f2719])).
% 21.13/2.97 fof(f3461,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|epsilon_transitive(sk0_29(sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_135)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2720,f1711])).
% 21.13/2.97 fof(f3462,plain,(
% 21.13/2.97 ~spl0_7|spl0_257|spl0_31|~spl0_135),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3461,f354,f3451,f723,f2719])).
% 21.13/2.97 fof(f3463,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|epsilon_connected(sk0_29(sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_135)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2720,f1710])).
% 21.13/2.97 fof(f3464,plain,(
% 21.13/2.97 ~spl0_7|spl0_258|spl0_31|~spl0_135),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3463,f354,f3456,f723,f2719])).
% 21.13/2.97 fof(f3465,plain,(
% 21.13/2.97 spl0_259 <=> ~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_27(sk0_0),sk0_1(X0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3468,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_25(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_27(sk0_0),sk0_1(X0))|in(sk0_1(X0),X0)|~spl0_135)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2720,f1709])).
% 21.13/2.97 fof(f3469,plain,(
% 21.13/2.97 ~spl0_7|spl0_259|spl0_34|~spl0_135),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3468,f354,f3465,f739,f2719])).
% 21.13/2.97 fof(f3470,plain,(
% 21.13/2.97 spl0_260 <=> ~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|~in(sk0_1(X0),sk0_27(sk0_0))|ordinal(sk0_29(sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3473,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_25(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|ordinal(sk0_29(sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_135)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2720,f1708])).
% 21.13/2.97 fof(f3474,plain,(
% 21.13/2.97 ~spl0_7|spl0_260|spl0_34|~spl0_135),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3473,f354,f3470,f739,f2719])).
% 21.13/2.97 fof(f3475,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_27(sk0_0),sk0_1(X0))|in(sk0_1(X0),X0)|~spl0_135)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2720,f1690])).
% 21.13/2.97 fof(f3476,plain,(
% 21.13/2.97 ~spl0_7|spl0_259|spl0_31|~spl0_135),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3475,f354,f3465,f723,f2719])).
% 21.13/2.97 fof(f3477,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|ordinal(sk0_29(sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_135)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2720,f1687])).
% 21.13/2.97 fof(f3478,plain,(
% 21.13/2.97 ~spl0_7|spl0_260|spl0_31|~spl0_135),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3477,f354,f3470,f723,f2719])).
% 21.13/2.97 fof(f3479,plain,(
% 21.13/2.97 spl0_261 <=> in(sk0_1(X0),sk0_27(sk0_0))|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|~in(sk0_1(X0),sk0_27(sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3482,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|in(sk0_1(X0),sk0_27(sk0_0))|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_25(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|in(sk0_1(X0),X0)|~spl0_135)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2720,f1276])).
% 21.13/2.97 fof(f3483,plain,(
% 21.13/2.97 ~spl0_7|spl0_261|spl0_34|~spl0_135),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3482,f354,f3479,f739,f2719])).
% 21.13/2.97 fof(f3484,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|in(sk0_1(X0),sk0_27(sk0_0))|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|in(sk0_1(X0),X0)|~spl0_135)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2720,f717])).
% 21.13/2.97 fof(f3485,plain,(
% 21.13/2.97 ~spl0_7|spl0_261|spl0_31|~spl0_135),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3484,f354,f3479,f723,f2719])).
% 21.13/2.97 fof(f3486,plain,(
% 21.13/2.97 spl0_262 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(succ(sk0_0),sk0_1(X0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3489,plain,(
% 21.13/2.97 ![X0]: (sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|~in(succ(sk0_0),sk0_1(X0))|in(sk0_1(X0),X0)|~spl0_135)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2720,f713])).
% 21.13/2.97 fof(f3490,plain,(
% 21.13/2.97 spl0_31|~spl0_7|spl0_262|~spl0_135),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3489,f723,f354,f3486,f2719])).
% 21.13/2.97 fof(f3491,plain,(
% 21.13/2.97 spl0_263 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|in(sk0_1(X0),succ(sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3494,plain,(
% 21.13/2.97 ![X0]: (sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|in(sk0_1(X0),succ(sk0_0))|in(sk0_1(X0),X0)|~spl0_135)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2720,f702])).
% 21.13/2.97 fof(f3495,plain,(
% 21.13/2.97 spl0_31|~spl0_7|spl0_263|~spl0_135),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3494,f723,f354,f3491,f2719])).
% 21.13/2.97 fof(f3496,plain,(
% 21.13/2.97 ![X0]: (sk0_24(sk0_0)=sk0_25(sk0_0)|~ordinal(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|~in(succ(sk0_0),sk0_1(X0))|in(sk0_1(X0),X0)|~spl0_135)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2720,f712])).
% 21.13/2.97 fof(f3497,plain,(
% 21.13/2.97 spl0_34|~spl0_7|spl0_262|~spl0_135),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3496,f739,f354,f3486,f2719])).
% 21.13/2.97 fof(f3498,plain,(
% 21.13/2.97 ![X0]: (sk0_24(sk0_0)=sk0_25(sk0_0)|~ordinal(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|in(sk0_1(X0),succ(sk0_0))|in(sk0_1(X0),X0)|~spl0_135)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2720,f694])).
% 21.13/2.97 fof(f3499,plain,(
% 21.13/2.97 spl0_34|~spl0_7|spl0_263|~spl0_135),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3498,f739,f354,f3491,f2719])).
% 21.13/2.97 fof(f3500,plain,(
% 21.13/2.97 spl0_264 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|sk0_1(X0)=sk0_1(X0)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3503,plain,(
% 21.13/2.97 ![X0]: (sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|sk0_1(X0)=sk0_1(X0)|in(sk0_1(X0),X0)|~spl0_135)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2720,f701])).
% 21.13/2.97 fof(f3504,plain,(
% 21.13/2.97 spl0_31|~spl0_7|spl0_264|~spl0_135),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3503,f723,f354,f3500,f2719])).
% 21.13/2.97 fof(f3505,plain,(
% 21.13/2.97 ![X0]: (sk0_24(sk0_0)=sk0_25(sk0_0)|~ordinal(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|sk0_1(X0)=sk0_1(X0)|in(sk0_1(X0),X0)|~spl0_135)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2720,f693])).
% 21.13/2.97 fof(f3506,plain,(
% 21.13/2.97 spl0_34|~spl0_7|spl0_264|~spl0_135),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3505,f739,f354,f3500,f2719])).
% 21.13/2.97 fof(f3548,plain,(
% 21.13/2.97 spl0_267 <=> ~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_20(powerset(sk0_1(X2))))|in(sk0_1(X2),X2)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3551,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_20(powerset(sk0_1(X2))))|in(sk0_1(X2),X2)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f2140])).
% 21.13/2.97 fof(f3552,plain,(
% 21.13/2.97 spl0_267|~spl0_7|spl0_67|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3551,f3548,f354,f1182,f2724])).
% 21.13/2.97 fof(f3553,plain,(
% 21.13/2.97 spl0_268 <=> ~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_1(X2))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))))|in(sk0_1(X2),X2)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3556,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_1(X2))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))))|in(sk0_1(X2),X2)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f2140])).
% 21.13/2.97 fof(f3557,plain,(
% 21.13/2.97 spl0_268|~spl0_7|spl0_67|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3556,f3553,f354,f1182,f2724])).
% 21.13/2.97 fof(f3558,plain,(
% 21.13/2.97 spl0_269 <=> ~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_8(powerset(sk0_1(X2))))|in(sk0_1(X2),X2)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3561,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_8(powerset(sk0_1(X2))))|in(sk0_1(X2),X2)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f2137])).
% 21.13/2.97 fof(f3562,plain,(
% 21.13/2.97 spl0_269|~spl0_7|spl0_67|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3561,f3558,f354,f1182,f2724])).
% 21.13/2.97 fof(f3563,plain,(
% 21.13/2.97 spl0_270 <=> ~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_1(X2))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))))|in(sk0_1(X2),X2)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3566,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_1(X2))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))))|in(sk0_1(X2),X2)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f2137])).
% 21.13/2.97 fof(f3567,plain,(
% 21.13/2.97 spl0_270|~spl0_7|spl0_67|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3566,f3563,f354,f1182,f2724])).
% 21.13/2.97 fof(f3568,plain,(
% 21.13/2.97 spl0_271 <=> ~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_20(powerset(sk0_1(X2))))|in(sk0_1(X2),X2)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3571,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_20(powerset(sk0_1(X2))))|in(sk0_1(X2),X2)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1897])).
% 21.13/2.97 fof(f3572,plain,(
% 21.13/2.97 spl0_271|~spl0_7|spl0_67|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3571,f3568,f354,f1182,f2724])).
% 21.13/2.97 fof(f3573,plain,(
% 21.13/2.97 spl0_272 <=> ~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_1(X2))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))))|in(sk0_1(X2),X2)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3576,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_1(X2))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))))|in(sk0_1(X2),X2)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1897])).
% 21.13/2.97 fof(f3577,plain,(
% 21.13/2.97 spl0_272|~spl0_7|spl0_67|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3576,f3573,f354,f1182,f2724])).
% 21.13/2.97 fof(f3578,plain,(
% 21.13/2.97 spl0_273 <=> ~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_8(powerset(sk0_1(X2))))|in(sk0_1(X2),X2)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3581,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_8(powerset(sk0_1(X2))))|in(sk0_1(X2),X2)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1894])).
% 21.13/2.97 fof(f3582,plain,(
% 21.13/2.97 spl0_273|~spl0_7|spl0_67|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3581,f3578,f354,f1182,f2724])).
% 21.13/2.97 fof(f3583,plain,(
% 21.13/2.97 spl0_274 <=> ~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_1(X2))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))))|in(sk0_1(X2),X2)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3586,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_1(X2))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))))|in(sk0_1(X2),X2)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1894])).
% 21.13/2.97 fof(f3587,plain,(
% 21.13/2.97 spl0_274|~spl0_7|spl0_67|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3586,f3583,f354,f1182,f2724])).
% 21.13/2.97 fof(f3588,plain,(
% 21.13/2.97 spl0_275 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_1(X1),X0),sk0_1(X1),sk0_0))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3591,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_1(X1),X0),sk0_1(X1),sk0_0))|in(sk0_1(X1),X1)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1873])).
% 21.13/2.97 fof(f3592,plain,(
% 21.13/2.97 spl0_275|~spl0_7|spl0_67|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3591,f3588,f354,f1182,f2724])).
% 21.13/2.97 fof(f3593,plain,(
% 21.13/2.97 spl0_276 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_30(sk0_31(sk0_1(X1),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3596,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_30(sk0_31(sk0_1(X1),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0))|in(sk0_1(X1),X1)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1873])).
% 21.13/2.97 fof(f3597,plain,(
% 21.13/2.97 spl0_276|~spl0_7|spl0_67|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3596,f3593,f354,f1182,f2724])).
% 21.13/2.97 fof(f3598,plain,(
% 21.13/2.97 spl0_277 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_1(X1),X0),sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3601,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_1(X1),X0),sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0))|in(sk0_1(X1),X1)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1873])).
% 21.13/2.97 fof(f3602,plain,(
% 21.13/2.97 spl0_277|~spl0_7|spl0_67|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3601,f3598,f354,f1182,f2724])).
% 21.13/2.97 fof(f3603,plain,(
% 21.13/2.97 spl0_278 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_31(sk0_1(X1),sk0_29(sk0_1(X1),sk0_0),X0),sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3606,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_31(sk0_1(X1),sk0_29(sk0_1(X1),sk0_0),X0),sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0))|in(sk0_1(X1),X1)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1873])).
% 21.13/2.97 fof(f3607,plain,(
% 21.13/2.97 spl0_278|~spl0_7|spl0_67|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3606,f3603,f354,f1182,f2724])).
% 21.13/2.97 fof(f3608,plain,(
% 21.13/2.97 spl0_279 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_5(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_1(X2),X2),sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_1(X1),X0))|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_4(sk0_1(X2),X2))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3611,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_5(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_1(X2),X2),sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_1(X1),X0))|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_4(sk0_1(X2),X2))|in(sk0_1(X1),X1)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1872])).
% 21.13/2.97 fof(f3612,plain,(
% 21.13/2.97 spl0_279|~spl0_7|spl0_67|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3611,f3608,f354,f1182,f2724])).
% 21.13/2.97 fof(f3613,plain,(
% 21.13/2.97 spl0_280 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_5(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_1(X2),X2),sk0_31(sk0_1(X1),sk0_29(sk0_1(X1),sk0_0),X0))|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_4(sk0_1(X2),X2))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3616,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_5(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_1(X2),X2),sk0_31(sk0_1(X1),sk0_29(sk0_1(X1),sk0_0),X0))|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_4(sk0_1(X2),X2))|in(sk0_1(X1),X1)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1872])).
% 21.13/2.97 fof(f3617,plain,(
% 21.13/2.97 spl0_280|~spl0_7|spl0_67|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3616,f3613,f354,f1182,f2724])).
% 21.13/2.97 fof(f3618,plain,(
% 21.13/2.97 spl0_281 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_5(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_1(X1),X0),sk0_1(X1),sk0_0),sk0_1(X2),X2),sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0))|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_4(sk0_1(X2),X2))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3621,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_5(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_1(X1),X0),sk0_1(X1),sk0_0),sk0_1(X2),X2),sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0))|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_4(sk0_1(X2),X2))|in(sk0_1(X1),X1)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1872])).
% 21.13/2.97 fof(f3622,plain,(
% 21.13/2.97 spl0_281|~spl0_7|spl0_67|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3621,f3618,f354,f1182,f2724])).
% 21.13/2.97 fof(f3623,plain,(
% 21.13/2.97 spl0_282 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_5(sk0_30(sk0_31(sk0_1(X1),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_1(X2),X2),sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0))|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_4(sk0_1(X2),X2))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3626,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_5(sk0_30(sk0_31(sk0_1(X1),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_1(X2),X2),sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0))|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_4(sk0_1(X2),X2))|in(sk0_1(X1),X1)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1872])).
% 21.13/2.97 fof(f3627,plain,(
% 21.13/2.97 spl0_282|~spl0_7|spl0_67|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3626,f3623,f354,f1182,f2724])).
% 21.13/2.97 fof(f3628,plain,(
% 21.13/2.97 spl0_283 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_7(powerset(sk0_1(X0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3631,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_7(powerset(sk0_1(X0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1818])).
% 21.13/2.97 fof(f3632,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_283|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3631,f354,f1182,f3628,f2724])).
% 21.13/2.97 fof(f3633,plain,(
% 21.13/2.97 spl0_284 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_7(powerset(sk0_1(X0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3636,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_7(powerset(sk0_1(X0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1818])).
% 21.13/2.97 fof(f3637,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_284|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3636,f354,f1182,f3633,f2724])).
% 21.13/2.97 fof(f3638,plain,(
% 21.13/2.97 spl0_285 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_21(powerset(sk0_1(X0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3641,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_21(powerset(sk0_1(X0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1813])).
% 21.13/2.97 fof(f3642,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_285|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3641,f354,f1182,f3638,f2724])).
% 21.13/2.97 fof(f3643,plain,(
% 21.13/2.97 spl0_286 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_21(powerset(sk0_1(X0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3646,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_21(powerset(sk0_1(X0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1813])).
% 21.13/2.97 fof(f3647,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_286|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3646,f354,f1182,f3643,f2724])).
% 21.13/2.97 fof(f3648,plain,(
% 21.13/2.97 spl0_287 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|in(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_1(X1),X0))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3651,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|in(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_1(X1),X0))|in(sk0_1(X1),X1)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1216])).
% 21.13/2.97 fof(f3652,plain,(
% 21.13/2.97 spl0_287|~spl0_7|spl0_67|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3651,f3648,f354,f1182,f2724])).
% 21.13/2.97 fof(f3653,plain,(
% 21.13/2.97 spl0_288 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|in(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_31(sk0_1(X1),sk0_29(sk0_1(X1),sk0_0),X0))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3656,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|in(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_31(sk0_1(X1),sk0_29(sk0_1(X1),sk0_0),X0))|in(sk0_1(X1),X1)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1216])).
% 21.13/2.97 fof(f3657,plain,(
% 21.13/2.97 spl0_288|~spl0_7|spl0_67|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3656,f3653,f354,f1182,f2724])).
% 21.13/2.97 fof(f3658,plain,(
% 21.13/2.97 spl0_289 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|in(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_1(X1),X0),sk0_1(X1),sk0_0),sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3661,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|in(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_1(X1),X0),sk0_1(X1),sk0_0),sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0))|in(sk0_1(X1),X1)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1216])).
% 21.13/2.97 fof(f3662,plain,(
% 21.13/2.97 spl0_289|~spl0_7|spl0_67|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3661,f3658,f354,f1182,f2724])).
% 21.13/2.97 fof(f3663,plain,(
% 21.13/2.97 spl0_290 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|in(sk0_30(sk0_31(sk0_1(X1),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3666,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|in(sk0_30(sk0_31(sk0_1(X1),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0))|in(sk0_1(X1),X1)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1216])).
% 21.13/2.97 fof(f3667,plain,(
% 21.13/2.97 spl0_290|~spl0_7|spl0_67|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3666,f3663,f354,f1182,f2724])).
% 21.13/2.97 fof(f3668,plain,(
% 21.13/2.97 spl0_291 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(X2,sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0))|~subset(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_1(X1),X0),sk0_1(X1),sk0_0),X2)|X2=sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0)|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3671,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(X2,sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0))|~subset(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_1(X1),X0),sk0_1(X1),sk0_0),X2)|X2=sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0)|in(sk0_1(X1),X1)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1214])).
% 21.13/2.97 fof(f3672,plain,(
% 21.13/2.97 spl0_291|~spl0_7|spl0_67|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3671,f3668,f354,f1182,f2724])).
% 21.13/2.97 fof(f3673,plain,(
% 21.13/2.97 spl0_292 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(X2,sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0))|~subset(sk0_30(sk0_31(sk0_1(X1),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),X2)|X2=sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0)|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3676,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(X2,sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0))|~subset(sk0_30(sk0_31(sk0_1(X1),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),X2)|X2=sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0)|in(sk0_1(X1),X1)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1214])).
% 21.13/2.97 fof(f3677,plain,(
% 21.13/2.97 spl0_292|~spl0_7|spl0_67|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3676,f3673,f354,f1182,f2724])).
% 21.13/2.97 fof(f3678,plain,(
% 21.13/2.97 spl0_293 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(X1,sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))))|~subset(sk0_30(sk0_7(powerset(sk0_1(X0))),sk0_1(X0),sk0_0),X1)|X1=sk0_30(sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3681,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(X1,sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))))|~subset(sk0_30(sk0_7(powerset(sk0_1(X0))),sk0_1(X0),sk0_0),X1)|X1=sk0_30(sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1207])).
% 21.13/2.97 fof(f3682,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_293|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3681,f354,f1182,f3678,f2724])).
% 21.13/2.97 fof(f3683,plain,(
% 21.13/2.97 spl0_294 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(X1,sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))))|~subset(sk0_30(sk0_21(powerset(sk0_1(X0))),sk0_1(X0),sk0_0),X1)|X1=sk0_30(sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3686,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(X1,sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))))|~subset(sk0_30(sk0_21(powerset(sk0_1(X0))),sk0_1(X0),sk0_0),X1)|X1=sk0_30(sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1202])).
% 21.13/2.97 fof(f3687,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_294|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3686,f354,f1182,f3683,f2724])).
% 21.13/2.97 fof(f3688,plain,(
% 21.13/2.97 spl0_295 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_30(sk0_7(powerset(sk0_1(X0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3691,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_30(sk0_7(powerset(sk0_1(X0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1788])).
% 21.13/2.97 fof(f3692,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_295|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3691,f354,f1182,f3688,f2724])).
% 21.13/2.97 fof(f3693,plain,(
% 21.13/2.97 spl0_296 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_7(powerset(sk0_1(X0))),sk0_30(sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3696,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_7(powerset(sk0_1(X0))),sk0_30(sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1788])).
% 21.13/2.97 fof(f3697,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_296|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3696,f354,f1182,f3693,f2724])).
% 21.13/2.97 fof(f3698,plain,(
% 21.13/2.97 spl0_297 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_30(sk0_21(powerset(sk0_1(X0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3701,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_30(sk0_21(powerset(sk0_1(X0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1787])).
% 21.13/2.97 fof(f3702,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_297|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3701,f354,f1182,f3698,f2724])).
% 21.13/2.97 fof(f3703,plain,(
% 21.13/2.97 spl0_298 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_21(powerset(sk0_1(X0))),sk0_30(sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3706,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_21(powerset(sk0_1(X0))),sk0_30(sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1787])).
% 21.13/2.97 fof(f3707,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_298|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3706,f354,f1182,f3703,f2724])).
% 21.13/2.97 fof(f3708,plain,(
% 21.13/2.97 spl0_299 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_7(powerset(sk0_1(X0))))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3711,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_7(powerset(sk0_1(X0))))|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1181])).
% 21.13/2.97 fof(f3712,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_299|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3711,f354,f1182,f3708,f2724])).
% 21.13/2.97 fof(f3713,plain,(
% 21.13/2.97 spl0_300 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_7(powerset(sk0_1(X0))),sk0_1(X0),sk0_0),sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3716,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_7(powerset(sk0_1(X0))),sk0_1(X0),sk0_0),sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))))|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1181])).
% 21.13/2.97 fof(f3717,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_300|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3716,f354,f1182,f3713,f2724])).
% 21.13/2.97 fof(f3718,plain,(
% 21.13/2.97 spl0_301 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_21(powerset(sk0_1(X0))))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3721,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_21(powerset(sk0_1(X0))))|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1176])).
% 21.13/2.97 fof(f3722,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_301|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3721,f354,f1182,f3718,f2724])).
% 21.13/2.97 fof(f3723,plain,(
% 21.13/2.97 spl0_302 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_21(powerset(sk0_1(X0))),sk0_1(X0),sk0_0),sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3726,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_21(powerset(sk0_1(X0))),sk0_1(X0),sk0_0),sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))))|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1176])).
% 21.13/2.97 fof(f3727,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_302|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3726,f354,f1182,f3723,f2724])).
% 21.13/2.97 fof(f3728,plain,(
% 21.13/2.97 spl0_303 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_8(powerset(sk0_1(X0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3731,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_8(powerset(sk0_1(X0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1597])).
% 21.13/2.97 fof(f3732,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_303|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3731,f354,f1182,f3728,f2724])).
% 21.13/2.97 fof(f3733,plain,(
% 21.13/2.97 spl0_304 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_8(powerset(sk0_1(X0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3736,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_8(powerset(sk0_1(X0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1597])).
% 21.13/2.97 fof(f3737,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_304|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3736,f354,f1182,f3733,f2724])).
% 21.13/2.97 fof(f3738,plain,(
% 21.13/2.97 spl0_305 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_20(powerset(sk0_1(X0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3741,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_20(powerset(sk0_1(X0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1594])).
% 21.13/2.97 fof(f3742,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_305|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3741,f354,f1182,f3738,f2724])).
% 21.13/2.97 fof(f3743,plain,(
% 21.13/2.97 spl0_306 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_20(powerset(sk0_1(X0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3746,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_20(powerset(sk0_1(X0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1594])).
% 21.13/2.97 fof(f3747,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_306|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3746,f354,f1182,f3743,f2724])).
% 21.13/2.97 fof(f3748,plain,(
% 21.13/2.97 spl0_307 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(X1,sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))))|~subset(sk0_30(sk0_8(powerset(sk0_1(X0))),sk0_1(X0),sk0_0),X1)|X1=sk0_30(sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3751,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(X1,sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))))|~subset(sk0_30(sk0_8(powerset(sk0_1(X0))),sk0_1(X0),sk0_0),X1)|X1=sk0_30(sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1206])).
% 21.13/2.97 fof(f3752,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_307|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3751,f354,f1182,f3748,f2724])).
% 21.13/2.97 fof(f3753,plain,(
% 21.13/2.97 spl0_308 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(X1,sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))))|~subset(sk0_30(sk0_20(powerset(sk0_1(X0))),sk0_1(X0),sk0_0),X1)|X1=sk0_30(sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3756,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(X1,sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))))|~subset(sk0_30(sk0_20(powerset(sk0_1(X0))),sk0_1(X0),sk0_0),X1)|X1=sk0_30(sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1204])).
% 21.13/2.97 fof(f3757,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_308|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3756,f354,f1182,f3753,f2724])).
% 21.13/2.97 fof(f3758,plain,(
% 21.13/2.97 spl0_309 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_30(sk0_8(powerset(sk0_1(X0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3761,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_30(sk0_8(powerset(sk0_1(X0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1579])).
% 21.13/2.97 fof(f3762,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_309|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3761,f354,f1182,f3758,f2724])).
% 21.13/2.97 fof(f3763,plain,(
% 21.13/2.97 spl0_310 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_8(powerset(sk0_1(X0))),sk0_30(sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3766,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_8(powerset(sk0_1(X0))),sk0_30(sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1579])).
% 21.13/2.97 fof(f3767,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_310|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3766,f354,f1182,f3763,f2724])).
% 21.13/2.97 fof(f3768,plain,(
% 21.13/2.97 spl0_311 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_30(sk0_20(powerset(sk0_1(X0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3771,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_30(sk0_20(powerset(sk0_1(X0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1578])).
% 21.13/2.97 fof(f3772,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_311|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3771,f354,f1182,f3768,f2724])).
% 21.13/2.97 fof(f3773,plain,(
% 21.13/2.97 spl0_312 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_20(powerset(sk0_1(X0))),sk0_30(sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3776,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_20(powerset(sk0_1(X0))),sk0_30(sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1578])).
% 21.13/2.97 fof(f3777,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_312|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3776,f354,f1182,f3773,f2724])).
% 21.13/2.97 fof(f3778,plain,(
% 21.13/2.97 spl0_313 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_8(powerset(sk0_1(X0))))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3781,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_8(powerset(sk0_1(X0))))|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1180])).
% 21.13/2.97 fof(f3782,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_313|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3781,f354,f1182,f3778,f2724])).
% 21.13/2.97 fof(f3783,plain,(
% 21.13/2.97 spl0_314 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_8(powerset(sk0_1(X0))),sk0_1(X0),sk0_0),sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3786,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_8(powerset(sk0_1(X0))),sk0_1(X0),sk0_0),sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))))|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1180])).
% 21.13/2.97 fof(f3787,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_314|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3786,f354,f1182,f3783,f2724])).
% 21.13/2.97 fof(f3788,plain,(
% 21.13/2.97 spl0_315 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_20(powerset(sk0_1(X0))))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3791,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_20(powerset(sk0_1(X0))))|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1178])).
% 21.13/2.97 fof(f3792,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_315|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3791,f354,f1182,f3788,f2724])).
% 21.13/2.97 fof(f3793,plain,(
% 21.13/2.97 spl0_316 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_20(powerset(sk0_1(X0))),sk0_1(X0),sk0_0),sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3796,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_20(powerset(sk0_1(X0))),sk0_1(X0),sk0_0),sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))))|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f1178])).
% 21.13/2.97 fof(f3797,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_316|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3796,f354,f1182,f3793,f2724])).
% 21.13/2.97 fof(f3798,plain,(
% 21.13/2.97 spl0_317 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|~element(X1,powerset(powerset(sk0_1(X0))))|X1=empty_set|~in(X2,X1)|~subset(sk0_30(X1,sk0_1(X0),sk0_0),X2)|X2=sk0_30(X1,sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3801,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|~element(X1,powerset(powerset(sk0_1(X0))))|X1=empty_set|~in(X2,X1)|~subset(sk0_30(X1,sk0_1(X0),sk0_0),X2)|X2=sk0_30(X1,sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f222])).
% 21.13/2.97 fof(f3802,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_317|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3801,f354,f1182,f3798,f2724])).
% 21.13/2.97 fof(f3803,plain,(
% 21.13/2.97 spl0_318 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|~element(X1,powerset(powerset(sk0_1(X0))))|X1=empty_set|in(sk0_30(X1,sk0_1(X0),sk0_0),X1)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3806,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|~element(X1,powerset(powerset(sk0_1(X0))))|X1=empty_set|in(sk0_30(X1,sk0_1(X0),sk0_0),X1)|in(sk0_1(X0),X0)|~spl0_136)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f2725,f221])).
% 21.13/2.97 fof(f3807,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_318|~spl0_136),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3806,f354,f1182,f3803,f2724])).
% 21.13/2.97 fof(f3825,plain,(
% 21.13/2.97 spl0_319 <=> sk0_1(sk0_27(sk0_0))=sk0_2(sk0_27(sk0_0))),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3826,plain,(
% 21.13/2.97 sk0_1(sk0_27(sk0_0))=sk0_2(sk0_27(sk0_0))|~spl0_319),
% 21.13/2.97 inference(component_clause,[status(thm)],[f3825])).
% 21.13/2.97 fof(f3827,plain,(
% 21.13/2.97 ~sk0_1(sk0_27(sk0_0))=sk0_2(sk0_27(sk0_0))|spl0_319),
% 21.13/2.97 inference(component_clause,[status(thm)],[f3825])).
% 21.13/2.97 fof(f3847,plain,(
% 21.13/2.97 spl0_321 <=> ~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|~in(sk0_1(X0),sk0_27(sk0_0))|sk0_28(sk0_1(X0),sk0_0)=sk0_29(sk0_2(X0),sk0_0)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3850,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_25(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|sk0_28(sk0_1(X0),sk0_0)=sk0_29(sk0_2(X0),sk0_0)|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3080,f1704])).
% 21.13/2.97 fof(f3851,plain,(
% 21.13/2.97 ~spl0_7|spl0_321|spl0_34|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3850,f354,f3847,f739,f2695])).
% 21.13/2.97 fof(f3852,plain,(
% 21.13/2.97 spl0_322 <=> ~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|~in(sk0_1(X0),sk0_27(sk0_0))|sk0_28(sk0_2(X0),sk0_0)=sk0_28(sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3855,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_25(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|sk0_28(sk0_2(X0),sk0_0)=sk0_28(sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3080,f1702])).
% 21.13/2.97 fof(f3856,plain,(
% 21.13/2.97 ~spl0_7|spl0_322|spl0_34|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3855,f354,f3852,f739,f2695])).
% 21.13/2.97 fof(f3857,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|sk0_28(sk0_1(X0),sk0_0)=sk0_29(sk0_2(X0),sk0_0)|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3080,f1681])).
% 21.13/2.97 fof(f3858,plain,(
% 21.13/2.97 ~spl0_7|spl0_321|spl0_31|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3857,f354,f3847,f723,f2695])).
% 21.13/2.97 fof(f3859,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|sk0_28(sk0_2(X0),sk0_0)=sk0_28(sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3080,f1679])).
% 21.13/2.97 fof(f3860,plain,(
% 21.13/2.97 ~spl0_7|spl0_322|spl0_31|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3859,f354,f3852,f723,f2695])).
% 21.13/2.97 fof(f3861,plain,(
% 21.13/2.97 spl0_323 <=> ~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|~in(sk0_1(X0),sk0_27(sk0_0))|epsilon_transitive(sk0_29(sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3864,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_25(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|epsilon_transitive(sk0_29(sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3080,f1713])).
% 21.13/2.97 fof(f3865,plain,(
% 21.13/2.97 ~spl0_7|spl0_323|spl0_34|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3864,f354,f3861,f739,f2695])).
% 21.13/2.97 fof(f3866,plain,(
% 21.13/2.97 spl0_324 <=> ~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|~in(sk0_1(X0),sk0_27(sk0_0))|epsilon_connected(sk0_29(sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3869,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_25(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|epsilon_connected(sk0_29(sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3080,f1712])).
% 21.13/2.97 fof(f3870,plain,(
% 21.13/2.97 ~spl0_7|spl0_324|spl0_34|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3869,f354,f3866,f739,f2695])).
% 21.13/2.97 fof(f3871,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|epsilon_transitive(sk0_29(sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3080,f1711])).
% 21.13/2.97 fof(f3872,plain,(
% 21.13/2.97 ~spl0_7|spl0_323|spl0_31|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3871,f354,f3861,f723,f2695])).
% 21.13/2.97 fof(f3873,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|epsilon_connected(sk0_29(sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3080,f1710])).
% 21.13/2.97 fof(f3874,plain,(
% 21.13/2.97 ~spl0_7|spl0_324|spl0_31|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3873,f354,f3866,f723,f2695])).
% 21.13/2.97 fof(f3875,plain,(
% 21.13/2.97 spl0_325 <=> ~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_27(sk0_0),sk0_2(X0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3878,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_25(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_27(sk0_0),sk0_2(X0))|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3080,f1709])).
% 21.13/2.97 fof(f3879,plain,(
% 21.13/2.97 ~spl0_7|spl0_325|spl0_34|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3878,f354,f3875,f739,f2695])).
% 21.13/2.97 fof(f3880,plain,(
% 21.13/2.97 spl0_326 <=> ~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|~in(sk0_1(X0),sk0_27(sk0_0))|ordinal(sk0_29(sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3883,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_25(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|ordinal(sk0_29(sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3080,f1708])).
% 21.13/2.97 fof(f3884,plain,(
% 21.13/2.97 ~spl0_7|spl0_326|spl0_34|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3883,f354,f3880,f739,f2695])).
% 21.13/2.97 fof(f3885,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_27(sk0_0),sk0_2(X0))|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3080,f1690])).
% 21.13/2.97 fof(f3886,plain,(
% 21.13/2.97 ~spl0_7|spl0_325|spl0_31|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3885,f354,f3875,f723,f2695])).
% 21.13/2.97 fof(f3887,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|ordinal(sk0_29(sk0_2(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3080,f1687])).
% 21.13/2.97 fof(f3888,plain,(
% 21.13/2.97 ~spl0_7|spl0_326|spl0_31|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3887,f354,f3880,f723,f2695])).
% 21.13/2.97 fof(f3889,plain,(
% 21.13/2.97 spl0_327 <=> in(sk0_2(X0),sk0_27(sk0_0))|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|~in(sk0_1(X0),sk0_27(sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3892,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|in(sk0_2(X0),sk0_27(sk0_0))|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_25(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3080,f1276])).
% 21.13/2.97 fof(f3893,plain,(
% 21.13/2.97 ~spl0_7|spl0_327|spl0_34|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3892,f354,f3889,f739,f2695])).
% 21.13/2.97 fof(f3894,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|in(sk0_2(X0),sk0_27(sk0_0))|~ordinal(sk0_28(sk0_1(X0),sk0_0))|in(sk0_28(sk0_1(X0),sk0_0),omega)|sk0_24(sk0_0)=sk0_26(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3080,f717])).
% 21.13/2.97 fof(f3895,plain,(
% 21.13/2.97 ~spl0_7|spl0_327|spl0_31|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3894,f354,f3889,f723,f2695])).
% 21.13/2.97 fof(f3896,plain,(
% 21.13/2.97 spl0_328 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(succ(sk0_0),sk0_2(X0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3899,plain,(
% 21.13/2.97 ![X0]: (sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|~in(succ(sk0_0),sk0_2(X0))|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3080,f713])).
% 21.13/2.97 fof(f3900,plain,(
% 21.13/2.97 spl0_31|~spl0_7|spl0_328|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3899,f723,f354,f3896,f2695])).
% 21.13/2.97 fof(f3901,plain,(
% 21.13/2.97 spl0_329 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|in(sk0_2(X0),succ(sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3904,plain,(
% 21.13/2.97 ![X0]: (sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|in(sk0_2(X0),succ(sk0_0))|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3080,f702])).
% 21.13/2.97 fof(f3905,plain,(
% 21.13/2.97 spl0_31|~spl0_7|spl0_329|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3904,f723,f354,f3901,f2695])).
% 21.13/2.97 fof(f3906,plain,(
% 21.13/2.97 ![X0]: (sk0_24(sk0_0)=sk0_25(sk0_0)|~ordinal(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|~in(succ(sk0_0),sk0_2(X0))|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3080,f712])).
% 21.13/2.97 fof(f3907,plain,(
% 21.13/2.97 spl0_34|~spl0_7|spl0_328|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3906,f739,f354,f3896,f2695])).
% 21.13/2.97 fof(f3908,plain,(
% 21.13/2.97 ![X0]: (sk0_24(sk0_0)=sk0_25(sk0_0)|~ordinal(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|in(sk0_2(X0),succ(sk0_0))|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3080,f694])).
% 21.13/2.97 fof(f3909,plain,(
% 21.13/2.97 spl0_34|~spl0_7|spl0_329|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3908,f739,f354,f3901,f2695])).
% 21.13/2.97 fof(f3910,plain,(
% 21.13/2.97 spl0_330 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|sk0_2(X0)=sk0_1(X0)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3913,plain,(
% 21.13/2.97 ![X0]: (sk0_24(sk0_0)=sk0_26(sk0_0)|~ordinal(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|sk0_2(X0)=sk0_1(X0)|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3080,f701])).
% 21.13/2.97 fof(f3914,plain,(
% 21.13/2.97 spl0_31|~spl0_7|spl0_330|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3913,f723,f354,f3910,f2695])).
% 21.13/2.97 fof(f3915,plain,(
% 21.13/2.97 ![X0]: (sk0_24(sk0_0)=sk0_25(sk0_0)|~ordinal(sk0_0)|~in(sk0_1(X0),sk0_27(sk0_0))|sk0_2(X0)=sk0_1(X0)|in(sk0_1(X0),X0)|~spl0_132)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3080,f693])).
% 21.13/2.97 fof(f3916,plain,(
% 21.13/2.97 spl0_34|~spl0_7|spl0_330|~spl0_132),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3915,f739,f354,f3910,f2695])).
% 21.13/2.97 fof(f3966,plain,(
% 21.13/2.97 spl0_334 <=> ~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_20(powerset(sk0_2(X2))))|in(sk0_1(X2),X2)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3969,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_20(powerset(sk0_2(X2))))|in(sk0_1(X2),X2)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f2140])).
% 21.13/2.97 fof(f3970,plain,(
% 21.13/2.97 spl0_334|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3969,f3966,f354,f1182,f2700])).
% 21.13/2.97 fof(f3971,plain,(
% 21.13/2.97 spl0_335 <=> ~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_2(X2))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))))|in(sk0_1(X2),X2)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3974,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_2(X2))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))))|in(sk0_1(X2),X2)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f2140])).
% 21.13/2.97 fof(f3975,plain,(
% 21.13/2.97 spl0_335|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3974,f3971,f354,f1182,f2700])).
% 21.13/2.97 fof(f3976,plain,(
% 21.13/2.97 spl0_336 <=> ~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_8(powerset(sk0_2(X2))))|in(sk0_1(X2),X2)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3979,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_8(powerset(sk0_2(X2))))|in(sk0_1(X2),X2)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f2137])).
% 21.13/2.97 fof(f3980,plain,(
% 21.13/2.97 spl0_336|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3979,f3976,f354,f1182,f2700])).
% 21.13/2.97 fof(f3981,plain,(
% 21.13/2.97 spl0_337 <=> ~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_2(X2))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))))|in(sk0_1(X2),X2)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3984,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_25(X0)|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_2(X2))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))))|in(sk0_1(X2),X2)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f2137])).
% 21.13/2.97 fof(f3985,plain,(
% 21.13/2.97 spl0_337|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3984,f3981,f354,f1182,f2700])).
% 21.13/2.97 fof(f3986,plain,(
% 21.13/2.97 spl0_338 <=> ~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_20(powerset(sk0_2(X2))))|in(sk0_1(X2),X2)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3989,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_20(powerset(sk0_2(X2))))|in(sk0_1(X2),X2)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1897])).
% 21.13/2.97 fof(f3990,plain,(
% 21.13/2.97 spl0_338|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3989,f3986,f354,f1182,f2700])).
% 21.13/2.97 fof(f3991,plain,(
% 21.13/2.97 spl0_339 <=> ~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_2(X2))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))))|in(sk0_1(X2),X2)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3994,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_20(powerset(sk0_2(X2))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_20(powerset(sk0_29(sk0_1(X2),sk0_0))))|in(sk0_1(X2),X2)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1897])).
% 21.13/2.97 fof(f3995,plain,(
% 21.13/2.97 spl0_339|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3994,f3991,f354,f1182,f2700])).
% 21.13/2.97 fof(f3996,plain,(
% 21.13/2.97 spl0_340 <=> ~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_8(powerset(sk0_2(X2))))|in(sk0_1(X2),X2)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f3999,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_8(powerset(sk0_2(X2))))|in(sk0_1(X2),X2)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1894])).
% 21.13/2.97 fof(f4000,plain,(
% 21.13/2.97 spl0_340|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f3999,f3996,f354,f1182,f2700])).
% 21.13/2.97 fof(f4001,plain,(
% 21.13/2.97 spl0_341 <=> ~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_2(X2))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))))|in(sk0_1(X2),X2)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4004,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|in(X1,sk0_27(X0))|~in(X1,succ(X0))|~ordinal(X1)|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))),sk0_1(X2),sk0_0),sk0_31(X1,X1,X0))|sk0_24(X0)=sk0_26(X0)|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X2),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X2),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0)))=empty_set|~in(sk0_32(sk0_30(sk0_8(powerset(sk0_2(X2))),sk0_1(X2),sk0_0),X1,X1,X0),sk0_8(powerset(sk0_29(sk0_1(X2),sk0_0))))|in(sk0_1(X2),X2)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1894])).
% 21.13/2.97 fof(f4005,plain,(
% 21.13/2.97 spl0_341|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4004,f4001,f354,f1182,f2700])).
% 21.13/2.97 fof(f4006,plain,(
% 21.13/2.97 spl0_342 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_2(X1),X0),sk0_1(X1),sk0_0))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4009,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_2(X1),X0),sk0_1(X1),sk0_0))|in(sk0_1(X1),X1)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1873])).
% 21.13/2.97 fof(f4010,plain,(
% 21.13/2.97 spl0_342|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4009,f4006,f354,f1182,f2700])).
% 21.13/2.97 fof(f4011,plain,(
% 21.13/2.97 spl0_343 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_30(sk0_31(sk0_2(X1),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4014,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_30(sk0_31(sk0_2(X1),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0))|in(sk0_1(X1),X1)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1873])).
% 21.13/2.97 fof(f4015,plain,(
% 21.13/2.97 spl0_343|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4014,f4011,f354,f1182,f2700])).
% 21.13/2.97 fof(f4016,plain,(
% 21.13/2.97 spl0_344 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_2(X1),X0),sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4019,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_2(X1),X0),sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0))|in(sk0_1(X1),X1)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1873])).
% 21.13/2.97 fof(f4020,plain,(
% 21.13/2.97 spl0_344|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4019,f4016,f354,f1182,f2700])).
% 21.13/2.97 fof(f4021,plain,(
% 21.13/2.97 spl0_345 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_31(sk0_2(X1),sk0_29(sk0_1(X1),sk0_0),X0),sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4024,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_31(sk0_2(X1),sk0_29(sk0_1(X1),sk0_0),X0),sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0))|in(sk0_1(X1),X1)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1873])).
% 21.13/2.97 fof(f4025,plain,(
% 21.13/2.97 spl0_345|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4024,f4021,f354,f1182,f2700])).
% 21.13/2.97 fof(f4026,plain,(
% 21.13/2.97 spl0_346 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_5(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_1(X2),X2),sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_2(X1),X0))|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_4(sk0_1(X2),X2))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4029,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_5(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_1(X2),X2),sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_2(X1),X0))|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_4(sk0_1(X2),X2))|in(sk0_1(X1),X1)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1872])).
% 21.13/2.97 fof(f4030,plain,(
% 21.13/2.97 spl0_346|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4029,f4026,f354,f1182,f2700])).
% 21.13/2.97 fof(f4031,plain,(
% 21.13/2.97 spl0_347 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_5(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_1(X2),X2),sk0_31(sk0_2(X1),sk0_29(sk0_1(X1),sk0_0),X0))|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_4(sk0_1(X2),X2))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4034,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_5(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_1(X2),X2),sk0_31(sk0_2(X1),sk0_29(sk0_1(X1),sk0_0),X0))|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_4(sk0_1(X2),X2))|in(sk0_1(X1),X1)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1872])).
% 21.13/2.97 fof(f4035,plain,(
% 21.13/2.97 spl0_347|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4034,f4031,f354,f1182,f2700])).
% 21.13/2.97 fof(f4036,plain,(
% 21.13/2.97 spl0_348 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_5(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_2(X1),X0),sk0_1(X1),sk0_0),sk0_1(X2),X2),sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0))|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_4(sk0_1(X2),X2))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4039,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_5(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_2(X1),X0),sk0_1(X1),sk0_0),sk0_1(X2),X2),sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0))|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_4(sk0_1(X2),X2))|in(sk0_1(X1),X1)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1872])).
% 21.13/2.97 fof(f4040,plain,(
% 21.13/2.97 spl0_348|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4039,f4036,f354,f1182,f2700])).
% 21.13/2.97 fof(f4041,plain,(
% 21.13/2.97 spl0_349 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_5(sk0_30(sk0_31(sk0_2(X1),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_1(X2),X2),sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0))|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_4(sk0_1(X2),X2))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4044,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(sk0_5(sk0_30(sk0_31(sk0_2(X1),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_1(X2),X2),sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0))|~in(sk0_1(X2),X2)|~in(sk0_1(X2),succ(sk0_0))|~ordinal(sk0_1(X2))|~in(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_4(sk0_1(X2),X2))|in(sk0_1(X1),X1)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1872])).
% 21.13/2.97 fof(f4045,plain,(
% 21.13/2.97 spl0_349|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4044,f4041,f354,f1182,f2700])).
% 21.13/2.97 fof(f4046,plain,(
% 21.13/2.97 spl0_350 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_7(powerset(sk0_2(X0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4049,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_7(powerset(sk0_2(X0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1818])).
% 21.13/2.97 fof(f4050,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_350|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4049,f354,f1182,f4046,f2700])).
% 21.13/2.97 fof(f4051,plain,(
% 21.13/2.97 spl0_351 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_7(powerset(sk0_2(X0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4054,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_7(powerset(sk0_2(X0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1818])).
% 21.13/2.97 fof(f4055,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_351|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4054,f354,f1182,f4051,f2700])).
% 21.13/2.97 fof(f4056,plain,(
% 21.13/2.97 spl0_352 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_21(powerset(sk0_2(X0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4059,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_21(powerset(sk0_2(X0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1813])).
% 21.13/2.97 fof(f4060,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_352|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4059,f354,f1182,f4056,f2700])).
% 21.13/2.97 fof(f4061,plain,(
% 21.13/2.97 spl0_353 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_21(powerset(sk0_2(X0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4064,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_21(powerset(sk0_2(X0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1813])).
% 21.13/2.97 fof(f4065,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_353|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4064,f354,f1182,f4061,f2700])).
% 21.13/2.97 fof(f4066,plain,(
% 21.13/2.97 spl0_354 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|in(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_2(X1),X0))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4069,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|in(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_2(X1),X0))|in(sk0_1(X1),X1)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1216])).
% 21.13/2.97 fof(f4070,plain,(
% 21.13/2.97 spl0_354|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4069,f4066,f354,f1182,f2700])).
% 21.13/2.97 fof(f4071,plain,(
% 21.13/2.97 spl0_355 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|in(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_31(sk0_2(X1),sk0_29(sk0_1(X1),sk0_0),X0))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4074,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|in(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_31(sk0_2(X1),sk0_29(sk0_1(X1),sk0_0),X0))|in(sk0_1(X1),X1)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1216])).
% 21.13/2.97 fof(f4075,plain,(
% 21.13/2.97 spl0_355|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4074,f4071,f354,f1182,f2700])).
% 21.13/2.97 fof(f4076,plain,(
% 21.13/2.97 spl0_356 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|in(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_2(X1),X0),sk0_1(X1),sk0_0),sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4079,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|in(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_2(X1),X0),sk0_1(X1),sk0_0),sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0))|in(sk0_1(X1),X1)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1216])).
% 21.13/2.97 fof(f4080,plain,(
% 21.13/2.97 spl0_356|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4079,f4076,f354,f1182,f2700])).
% 21.13/2.97 fof(f4081,plain,(
% 21.13/2.97 spl0_357 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|in(sk0_30(sk0_31(sk0_2(X1),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0))|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4084,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|in(sk0_30(sk0_31(sk0_2(X1),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0))|in(sk0_1(X1),X1)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1216])).
% 21.13/2.97 fof(f4085,plain,(
% 21.13/2.97 spl0_357|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4084,f4081,f354,f1182,f2700])).
% 21.13/2.97 fof(f4086,plain,(
% 21.13/2.97 spl0_358 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(X2,sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0))|~subset(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_2(X1),X0),sk0_1(X1),sk0_0),X2)|X2=sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0)|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4089,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(X2,sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0))|~subset(sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_2(X1),X0),sk0_1(X1),sk0_0),X2)|X2=sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0)|in(sk0_1(X1),X1)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1214])).
% 21.13/2.97 fof(f4090,plain,(
% 21.13/2.97 spl0_358|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4089,f4086,f354,f1182,f2700])).
% 21.13/2.97 fof(f4091,plain,(
% 21.13/2.97 spl0_359 <=> ~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(X2,sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0))|~subset(sk0_30(sk0_31(sk0_2(X1),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),X2)|X2=sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0)|in(sk0_1(X1),X1)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4094,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(X0)|pd0_0(sk0_26(X0),sk0_25(X0),sk0_24(X0))|in(sk0_29(sk0_1(X1),sk0_0),sk0_27(X0))|~in(sk0_29(sk0_1(X1),sk0_0),succ(X0))|~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X1),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X1),sk0_0),omega)|sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0)=empty_set|~in(X2,sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0))|~subset(sk0_30(sk0_31(sk0_2(X1),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0),X2)|X2=sk0_30(sk0_31(sk0_29(sk0_1(X1),sk0_0),sk0_29(sk0_1(X1),sk0_0),X0),sk0_1(X1),sk0_0)|in(sk0_1(X1),X1)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1214])).
% 21.13/2.97 fof(f4095,plain,(
% 21.13/2.97 spl0_359|~spl0_7|spl0_67|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4094,f4091,f354,f1182,f2700])).
% 21.13/2.97 fof(f4096,plain,(
% 21.13/2.97 spl0_360 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(X1,sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))))|~subset(sk0_30(sk0_7(powerset(sk0_2(X0))),sk0_1(X0),sk0_0),X1)|X1=sk0_30(sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4099,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(X1,sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))))|~subset(sk0_30(sk0_7(powerset(sk0_2(X0))),sk0_1(X0),sk0_0),X1)|X1=sk0_30(sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1207])).
% 21.13/2.97 fof(f4100,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_360|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4099,f354,f1182,f4096,f2700])).
% 21.13/2.97 fof(f4101,plain,(
% 21.13/2.97 spl0_361 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(X1,sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))))|~subset(sk0_30(sk0_21(powerset(sk0_2(X0))),sk0_1(X0),sk0_0),X1)|X1=sk0_30(sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4104,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(X1,sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))))|~subset(sk0_30(sk0_21(powerset(sk0_2(X0))),sk0_1(X0),sk0_0),X1)|X1=sk0_30(sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1202])).
% 21.13/2.97 fof(f4105,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_361|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4104,f354,f1182,f4101,f2700])).
% 21.13/2.97 fof(f4106,plain,(
% 21.13/2.97 spl0_362 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_30(sk0_7(powerset(sk0_2(X0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4109,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_30(sk0_7(powerset(sk0_2(X0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1788])).
% 21.13/2.97 fof(f4110,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_362|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4109,f354,f1182,f4106,f2700])).
% 21.13/2.97 fof(f4111,plain,(
% 21.13/2.97 spl0_363 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_7(powerset(sk0_2(X0))),sk0_30(sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4114,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_7(powerset(sk0_2(X0))),sk0_30(sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1788])).
% 21.13/2.97 fof(f4115,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_363|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4114,f354,f1182,f4111,f2700])).
% 21.13/2.97 fof(f4116,plain,(
% 21.13/2.97 spl0_364 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_30(sk0_21(powerset(sk0_2(X0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4119,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_30(sk0_21(powerset(sk0_2(X0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1787])).
% 21.13/2.97 fof(f4120,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_364|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4119,f354,f1182,f4116,f2700])).
% 21.13/2.97 fof(f4121,plain,(
% 21.13/2.97 spl0_365 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_21(powerset(sk0_2(X0))),sk0_30(sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4124,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_21(powerset(sk0_2(X0))),sk0_30(sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1787])).
% 21.13/2.97 fof(f4125,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_365|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4124,f354,f1182,f4121,f2700])).
% 21.13/2.97 fof(f4126,plain,(
% 21.13/2.97 spl0_366 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_7(powerset(sk0_2(X0))))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4129,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_7(powerset(sk0_2(X0))))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1181])).
% 21.13/2.97 fof(f4130,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_366|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4129,f354,f1182,f4126,f2700])).
% 21.13/2.97 fof(f4131,plain,(
% 21.13/2.97 spl0_367 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_7(powerset(sk0_2(X0))),sk0_1(X0),sk0_0),sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4134,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_7(powerset(sk0_2(X0))),sk0_1(X0),sk0_0),sk0_7(powerset(sk0_29(sk0_1(X0),sk0_0))))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1181])).
% 21.13/2.97 fof(f4135,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_367|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4134,f354,f1182,f4131,f2700])).
% 21.13/2.97 fof(f4136,plain,(
% 21.13/2.97 spl0_368 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_21(powerset(sk0_2(X0))))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4139,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_21(powerset(sk0_2(X0))))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1176])).
% 21.13/2.97 fof(f4140,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_368|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4139,f354,f1182,f4136,f2700])).
% 21.13/2.97 fof(f4141,plain,(
% 21.13/2.97 spl0_369 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_21(powerset(sk0_2(X0))),sk0_1(X0),sk0_0),sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4144,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_21(powerset(sk0_2(X0))),sk0_1(X0),sk0_0),sk0_21(powerset(sk0_29(sk0_1(X0),sk0_0))))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1176])).
% 21.13/2.97 fof(f4145,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_369|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4144,f354,f1182,f4141,f2700])).
% 21.13/2.97 fof(f4146,plain,(
% 21.13/2.97 spl0_370 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_8(powerset(sk0_2(X0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4149,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_8(powerset(sk0_2(X0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1597])).
% 21.13/2.97 fof(f4150,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_370|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4149,f354,f1182,f4146,f2700])).
% 21.13/2.97 fof(f4151,plain,(
% 21.13/2.97 spl0_371 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_8(powerset(sk0_2(X0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4154,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_8(powerset(sk0_2(X0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1597])).
% 21.13/2.97 fof(f4155,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_371|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4154,f354,f1182,f4151,f2700])).
% 21.13/2.97 fof(f4156,plain,(
% 21.13/2.97 spl0_372 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_20(powerset(sk0_2(X0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4159,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_20(powerset(sk0_2(X0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1594])).
% 21.13/2.97 fof(f4160,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_372|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4159,f354,f1182,f4156,f2700])).
% 21.13/2.97 fof(f4161,plain,(
% 21.13/2.97 spl0_373 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_20(powerset(sk0_2(X0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4164,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_5(sk0_30(sk0_20(powerset(sk0_2(X0))),sk0_1(X0),sk0_0),sk0_1(X1),X1),sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))))|~in(sk0_1(X1),X1)|~in(sk0_1(X1),succ(sk0_0))|~ordinal(sk0_1(X1))|~in(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_4(sk0_1(X1),X1))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1594])).
% 21.13/2.97 fof(f4165,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_373|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4164,f354,f1182,f4161,f2700])).
% 21.13/2.97 fof(f4166,plain,(
% 21.13/2.97 spl0_374 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(X1,sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))))|~subset(sk0_30(sk0_8(powerset(sk0_2(X0))),sk0_1(X0),sk0_0),X1)|X1=sk0_30(sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4169,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(X1,sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))))|~subset(sk0_30(sk0_8(powerset(sk0_2(X0))),sk0_1(X0),sk0_0),X1)|X1=sk0_30(sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1206])).
% 21.13/2.97 fof(f4170,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_374|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4169,f354,f1182,f4166,f2700])).
% 21.13/2.97 fof(f4171,plain,(
% 21.13/2.97 spl0_375 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(X1,sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))))|~subset(sk0_30(sk0_20(powerset(sk0_2(X0))),sk0_1(X0),sk0_0),X1)|X1=sk0_30(sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4174,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(X1,sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))))|~subset(sk0_30(sk0_20(powerset(sk0_2(X0))),sk0_1(X0),sk0_0),X1)|X1=sk0_30(sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1204])).
% 21.13/2.97 fof(f4175,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_375|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4174,f354,f1182,f4171,f2700])).
% 21.13/2.97 fof(f4176,plain,(
% 21.13/2.97 spl0_376 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_30(sk0_8(powerset(sk0_2(X0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4179,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_30(sk0_8(powerset(sk0_2(X0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1579])).
% 21.13/2.97 fof(f4180,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_376|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4179,f354,f1182,f4176,f2700])).
% 21.13/2.97 fof(f4181,plain,(
% 21.13/2.97 spl0_377 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_8(powerset(sk0_2(X0))),sk0_30(sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4184,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_8(powerset(sk0_2(X0))),sk0_30(sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1579])).
% 21.13/2.97 fof(f4185,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_377|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4184,f354,f1182,f4181,f2700])).
% 21.13/2.97 fof(f4186,plain,(
% 21.13/2.97 spl0_378 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_30(sk0_20(powerset(sk0_2(X0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4189,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_30(sk0_20(powerset(sk0_2(X0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1578])).
% 21.13/2.97 fof(f4190,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_378|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4189,f354,f1182,f4186,f2700])).
% 21.13/2.97 fof(f4191,plain,(
% 21.13/2.97 spl0_379 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_20(powerset(sk0_2(X0))),sk0_30(sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4194,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|~in(sk0_20(powerset(sk0_2(X0))),sk0_30(sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1578])).
% 21.13/2.97 fof(f4195,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_379|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4194,f354,f1182,f4191,f2700])).
% 21.13/2.97 fof(f4196,plain,(
% 21.13/2.97 spl0_380 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_8(powerset(sk0_2(X0))))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4199,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_8(powerset(sk0_2(X0))))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1180])).
% 21.13/2.97 fof(f4200,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_380|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4199,f354,f1182,f4196,f2700])).
% 21.13/2.97 fof(f4201,plain,(
% 21.13/2.97 spl0_381 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_8(powerset(sk0_2(X0))),sk0_1(X0),sk0_0),sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4204,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_8(powerset(sk0_2(X0))),sk0_1(X0),sk0_0),sk0_8(powerset(sk0_29(sk0_1(X0),sk0_0))))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1180])).
% 21.13/2.97 fof(f4205,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_381|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4204,f354,f1182,f4201,f2700])).
% 21.13/2.97 fof(f4206,plain,(
% 21.13/2.97 spl0_382 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_20(powerset(sk0_2(X0))))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4209,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))),sk0_1(X0),sk0_0),sk0_20(powerset(sk0_2(X0))))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1178])).
% 21.13/2.97 fof(f4210,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_382|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4209,f354,f1182,f4206,f2700])).
% 21.13/2.97 fof(f4211,plain,(
% 21.13/2.97 spl0_383 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_20(powerset(sk0_2(X0))),sk0_1(X0),sk0_0),sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))))|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4214,plain,(
% 21.13/2.97 ![X0]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0)))=empty_set|in(sk0_30(sk0_20(powerset(sk0_2(X0))),sk0_1(X0),sk0_0),sk0_20(powerset(sk0_29(sk0_1(X0),sk0_0))))|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f1178])).
% 21.13/2.97 fof(f4215,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_383|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4214,f354,f1182,f4211,f2700])).
% 21.13/2.97 fof(f4216,plain,(
% 21.13/2.97 spl0_384 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|~element(X1,powerset(powerset(sk0_2(X0))))|X1=empty_set|~in(X2,X1)|~subset(sk0_30(X1,sk0_1(X0),sk0_0),X2)|X2=sk0_30(X1,sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4219,plain,(
% 21.13/2.97 ![X0,X1,X2]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|~element(X1,powerset(powerset(sk0_2(X0))))|X1=empty_set|~in(X2,X1)|~subset(sk0_30(X1,sk0_1(X0),sk0_0),X2)|X2=sk0_30(X1,sk0_1(X0),sk0_0)|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f222])).
% 21.13/2.97 fof(f4220,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_384|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4219,f354,f1182,f4216,f2700])).
% 21.13/2.97 fof(f4221,plain,(
% 21.13/2.97 spl0_385 <=> ~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|~element(X1,powerset(powerset(sk0_2(X0))))|X1=empty_set|in(sk0_30(X1,sk0_1(X0),sk0_0),X1)|in(sk0_1(X0),X0)),
% 21.13/2.97 introduced(split_symbol_definition)).
% 21.13/2.97 fof(f4224,plain,(
% 21.13/2.97 ![X0,X1]: (~ordinal(sk0_0)|pd0_0(sk0_26(sk0_0),sk0_25(sk0_0),sk0_24(sk0_0))|~in(sk0_1(X0),sk0_27(sk0_0))|~in(sk0_29(sk0_1(X0),sk0_0),omega)|~element(X1,powerset(powerset(sk0_2(X0))))|X1=empty_set|in(sk0_30(X1,sk0_1(X0),sk0_0),X1)|in(sk0_1(X0),X0)|~spl0_133)),
% 21.13/2.97 inference(paramodulation,[status(thm)],[f3157,f221])).
% 21.13/2.97 fof(f4225,plain,(
% 21.13/2.97 ~spl0_7|spl0_67|spl0_385|~spl0_133),
% 21.13/2.97 inference(split_clause,[status(thm)],[f4224,f354,f1182,f4221,f2700])).
% 21.13/2.98 fof(f4397,plain,(
% 21.13/2.98 sk0_24(sk0_0)=sk0_26(sk0_0)|~spl0_67),
% 21.13/2.98 inference(resolution,[status(thm)],[f1183,f236])).
% 21.13/2.98 fof(f4398,plain,(
% 21.13/2.98 spl0_31|~spl0_67),
% 21.13/2.98 inference(split_clause,[status(thm)],[f4397,f723,f1182])).
% 21.13/2.98 fof(f4569,plain,(
% 21.13/2.98 in(sk0_1(sk0_27(sk0_0)),sk0_27(sk0_0))|in(sk0_1(sk0_27(sk0_0)),sk0_27(sk0_0))|~spl0_107|~spl0_319),
% 21.13/2.98 inference(paramodulation,[status(thm)],[f3826,f2683])).
% 21.13/2.98 fof(f4570,plain,(
% 21.13/2.98 spl0_51|~spl0_107|~spl0_319),
% 21.13/2.98 inference(split_clause,[status(thm)],[f4569,f883,f2259,f3825])).
% 21.13/2.98 fof(f5617,plain,(
% 21.13/2.98 in(sk0_1(sk0_27(sk0_0)),sk0_27(sk0_0))|spl0_319),
% 21.13/2.98 inference(resolution,[status(thm)],[f3827,f55])).
% 21.13/2.98 fof(f5618,plain,(
% 21.13/2.98 spl0_51|spl0_319),
% 21.13/2.98 inference(split_clause,[status(thm)],[f5617,f883,f3825])).
% 21.13/2.98 fof(f5619,plain,(
% 21.13/2.98 ~sk0_1(sk0_27(sk0_0))=sk0_1(sk0_27(sk0_0))|in(sk0_1(sk0_27(sk0_0)),sk0_27(sk0_0))|spl0_319),
% 21.13/2.98 inference(paramodulation,[status(thm)],[f55,f3827])).
% 21.13/2.98 fof(f5620,plain,(
% 21.13/2.98 ~spl0_46|spl0_51|spl0_319),
% 21.13/2.98 inference(split_clause,[status(thm)],[f5619,f852,f883,f3825])).
% 21.13/2.98 fof(f5621,plain,(
% 21.13/2.98 ![X0]: (in(sk0_1(X0),sk0_27(sk0_0))|~ordinal(sk0_1(X0))|in(sk0_1(X0),omega)|in(sk0_1(X0),X0)|~spl0_37)),
% 21.13/2.98 inference(resolution,[status(thm)],[f771,f53])).
% 21.13/2.98 fof(f5622,plain,(
% 21.13/2.98 spl0_30|~spl0_37),
% 21.13/2.98 inference(split_clause,[status(thm)],[f5621,f720,f770])).
% 21.13/2.98 fof(f5632,plain,(
% 21.13/2.98 $false),
% 21.13/2.98 inference(sat_refutation,[status(thm)],[f358,f361,f409,f411,f419,f421,f430,f432,f440,f442,f453,f455,f463,f465,f473,f475,f483,f485,f493,f495,f727,f733,f738,f743,f745,f750,f752,f774,f779,f784,f789,f794,f797,f801,f804,f851,f863,f868,f897,f902,f904,f908,f913,f941,f943,f945,f947,f952,f974,f978,f986,f988,f1016,f1027,f1030,f1032,f1040,f1064,f1067,f1072,f1081,f1083,f1192,f1195,f1212,f1236,f1238,f1272,f1282,f1344,f1349,f1358,f1360,f1376,f1379,f1487,f1499,f1566,f1673,f1675,f1677,f1694,f1696,f1722,f1775,f1784,f1944,f1976,f2025,f2031,f2047,f2053,f2108,f2124,f2263,f2299,f2307,f2495,f2501,f2507,f2513,f2519,f2525,f2556,f2562,f2568,f2574,f2580,f2586,f2592,f2598,f2604,f2611,f2616,f2624,f2632,f2637,f2639,f2641,f2646,f2648,f2659,f2672,f2674,f2677,f2689,f2699,f2704,f2706,f2708,f2713,f2715,f2723,f2728,f2730,f2732,f2737,f2739,f3072,f3085,f3090,f3092,f3094,f3099,f3104,f3106,f3108,f3113,f3118,f3120,f3122,f3127,f3129,f3134,f3139,f3141,f3143,f3148,f3150,f3162,f3167,f3172,f3177,f3182,f3187,f3192,f3197,f3202,f3207,f3212,f3217,f3222,f3227,f3232,f3237,f3242,f3247,f3252,f3257,f3262,f3267,f3272,f3277,f3282,f3287,f3292,f3297,f3302,f3307,f3312,f3317,f3322,f3327,f3332,f3337,f3342,f3347,f3352,f3357,f3362,f3367,f3372,f3377,f3382,f3387,f3392,f3397,f3402,f3407,f3412,f3417,f3423,f3441,f3446,f3448,f3450,f3455,f3460,f3462,f3464,f3469,f3474,f3476,f3478,f3483,f3485,f3490,f3495,f3497,f3499,f3504,f3506,f3552,f3557,f3562,f3567,f3572,f3577,f3582,f3587,f3592,f3597,f3602,f3607,f3612,f3617,f3622,f3627,f3632,f3637,f3642,f3647,f3652,f3657,f3662,f3667,f3672,f3677,f3682,f3687,f3692,f3697,f3702,f3707,f3712,f3717,f3722,f3727,f3732,f3737,f3742,f3747,f3752,f3757,f3762,f3767,f3772,f3777,f3782,f3787,f3792,f3797,f3802,f3807,f3851,f3856,f3858,f3860,f3865,f3870,f3872,f3874,f3879,f3884,f3886,f3888,f3893,f3895,f3900,f3905,f3907,f3909,f3914,f3916,f3970,f3975,f3980,f3985,f3990,f3995,f4000,f4005,f4010,f4015,f4020,f4025,f4030,f4035,f4040,f4045,f4050,f4055,f4060,f4065,f4070,f4075,f4080,f4085,f4090,f4095,f4100,f4105,f4110,f4115,f4120,f4125,f4130,f4135,f4140,f4145,f4150,f4155,f4160,f4165,f4170,f4175,f4180,f4185,f4190,f4195,f4200,f4205,f4210,f4215,f4220,f4225,f4398,f4570,f5618,f5620,f5622])).
% 21.13/2.98 % SZS output end CNFRefutation for theBenchmark.p
% 21.13/2.99 % Elapsed time: 2.708581 seconds
% 21.13/2.99 % CPU time: 21.349535 seconds
% 21.13/2.99 % Memory used: 303.880 MB
%------------------------------------------------------------------------------