TSTP Solution File: SEU332+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU332+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 : Tue Apr 30 20:41:59 EDT 2024
% Result : Theorem 48.74s 6.52s
% Output : CNFRefutation 49.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU332+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 20:10:47 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 48.74/6.52 % Refutation found
% 48.74/6.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 48.74/6.52 % SZS output start CNFRefutation for theBenchmark
% 48.74/6.52 fof(f1,conjecture,(
% 48.74/6.52 (! [A,B] :( ( one_sorted_str(A)& element(B,powerset(powerset(the_carrier(A)))) )=> (! [C] :(? [D] :(! [E] :( in(E,D)<=> ( in(E,cartesian_product2(B,C))& (? [F,G] :( ordered_pair(F,G) = E& in(F,B)& (! [H] :( element(H,powerset(the_carrier(A)))=> ( H = F=> G = subset_complement(the_carrier(A),H) ) ) )) )) ) )))) )),
% 48.74/6.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 48.74/6.52 fof(f2,negated_conjecture,(
% 48.74/6.52 ~((! [A,B] :( ( one_sorted_str(A)& element(B,powerset(powerset(the_carrier(A)))) )=> (! [C] :(? [D] :(! [E] :( in(E,D)<=> ( in(E,cartesian_product2(B,C))& (? [F,G] :( ordered_pair(F,G) = E& in(F,B)& (! [H] :( element(H,powerset(the_carrier(A)))=> ( H = F=> G = subset_complement(the_carrier(A),H) ) ) )) )) ) )))) ))),
% 48.74/6.52 inference(negated_conjecture,[status(cth)],[f1])).
% 48.74/6.52 fof(f7,axiom,(
% 48.74/6.52 (? [A] :( ~ empty(A)& v1_membered(A)& v2_membered(A)& v3_membered(A)& v4_membered(A)& v5_membered(A) ) )),
% 48.74/6.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 48.74/6.52 fof(f19,axiom,(
% 48.74/6.52 (! [A] :( ~ empty(A)=> (? [B] :( element(B,powerset(A))& ~ empty(B) ) )) )),
% 48.74/6.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 48.74/6.52 fof(f20,axiom,(
% 48.74/6.52 (! [A,B] :( ( ~ empty(A)& ~ empty(B) )=> ~ empty(cartesian_product2(A,B)) ) )),
% 48.74/6.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 48.74/6.52 fof(f21,axiom,(
% 48.74/6.52 (! [A] :(? [B] :( element(B,powerset(A))& empty(B) ) ))),
% 48.74/6.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 48.74/6.52 fof(f22,axiom,(
% 48.74/6.52 (! [A,B] :( element(B,powerset(A))=> subset_complement(A,subset_complement(A,B)) = B ) )),
% 48.74/6.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 48.74/6.52 fof(f23,axiom,(
% 48.74/6.52 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 48.74/6.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 48.74/6.52 fof(f26,axiom,(
% 48.74/6.52 (! [A,B] :( element(B,powerset(A))=> element(subset_complement(A,B),powerset(A)) ) )),
% 48.74/6.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 48.74/6.52 fof(f32,axiom,(
% 48.74/6.52 (! [A] : ~ empty(powerset(A)) )),
% 48.74/6.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 48.74/6.52 fof(f33,axiom,(
% 48.74/6.52 (! [A,B] :( ( one_sorted_str(A)& element(B,powerset(powerset(the_carrier(A)))) )=> (! [C] :( (! [D,E,F] :( ( D = E& (? [G,H] :( ordered_pair(G,H) = E& in(G,B)& (! [I] :( element(I,powerset(the_carrier(A)))=> ( I = G=> H = subset_complement(the_carrier(A),I) ) ) )))& D = F& (? [J,K] :( ordered_pair(J,K) = F& in(J,B)& (! [L] :( element(L,powerset(the_carrier(A)))=> ( L = J=> K = subset_complement(the_carrier(A),L) ) ) )) ))=> E = F ))=> (? [D] :(! [E] :( in(E,D)<=> (? [F] :( in(F,cartesian_product2(B,C))& F = E& (? [M,N] :( ordered_pair(M,N) = E& in(M,B)& (! [O] :( element(O,powerset(the_carrier(A)))=> ( O = M=> N = subset_complement(the_carrier(A),O) ) ) )) )) )) ))) )) )),
% 48.74/6.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 48.74/6.52 fof(f34,plain,(
% 48.74/6.52 (?[A,B]: ((one_sorted_str(A)&element(B,powerset(powerset(the_carrier(A)))))&(?[C]: ![D]: ?[E]: (in(E,D)<~>(in(E,cartesian_product2(B,C))&(?[F,G]: ((ordered_pair(F,G)=E&in(F,B))&(![H]: (~element(H,powerset(the_carrier(A)))|(~H=F|G=subset_complement(the_carrier(A),H)))))))))))),
% 48.74/6.52 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 48.74/6.52 fof(f35,plain,(
% 48.74/6.52 ?[A,B]: ((one_sorted_str(A)&element(B,powerset(powerset(the_carrier(A)))))&(?[C]: ![D]: ?[E]: ((in(E,D)|(in(E,cartesian_product2(B,C))&(?[F,G]: ((ordered_pair(F,G)=E&in(F,B))&(![H]: (~element(H,powerset(the_carrier(A)))|(~H=F|G=subset_complement(the_carrier(A),H))))))))&(~in(E,D)|(~in(E,cartesian_product2(B,C))|(![F,G]: ((~ordered_pair(F,G)=E|~in(F,B))|(?[H]: (element(H,powerset(the_carrier(A)))&(H=F&~G=subset_complement(the_carrier(A),H)))))))))))),
% 48.74/6.52 inference(NNF_transformation,[status(esa)],[f34])).
% 48.74/6.52 fof(f36,plain,(
% 48.74/6.52 ((one_sorted_str(sk0_0)&element(sk0_1,powerset(powerset(the_carrier(sk0_0)))))&![D]: ((in(sk0_3(D),D)|(in(sk0_3(D),cartesian_product2(sk0_1,sk0_2))&((ordered_pair(sk0_4(D),sk0_5(D))=sk0_3(D)&in(sk0_4(D),sk0_1))&(![H]: (~element(H,powerset(the_carrier(sk0_0)))|(~H=sk0_4(D)|sk0_5(D)=subset_complement(the_carrier(sk0_0),H)))))))&(~in(sk0_3(D),D)|(~in(sk0_3(D),cartesian_product2(sk0_1,sk0_2))|(![F,G]: ((~ordered_pair(F,G)=sk0_3(D)|~in(F,sk0_1))|(element(sk0_6(G,F,D),powerset(the_carrier(sk0_0)))&(sk0_6(G,F,D)=F&~G=subset_complement(the_carrier(sk0_0),sk0_6(G,F,D))))))))))),
% 48.74/6.52 inference(skolemization,[status(esa)],[f35])).
% 48.74/6.52 fof(f37,plain,(
% 48.74/6.52 one_sorted_str(sk0_0)),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f36])).
% 48.74/6.52 fof(f38,plain,(
% 48.74/6.52 element(sk0_1,powerset(powerset(the_carrier(sk0_0))))),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f36])).
% 48.74/6.52 fof(f39,plain,(
% 48.74/6.52 ![X0]: (in(sk0_3(X0),X0)|in(sk0_3(X0),cartesian_product2(sk0_1,sk0_2)))),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f36])).
% 48.74/6.52 fof(f40,plain,(
% 48.74/6.52 ![X0]: (in(sk0_3(X0),X0)|ordered_pair(sk0_4(X0),sk0_5(X0))=sk0_3(X0))),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f36])).
% 48.74/6.52 fof(f41,plain,(
% 48.74/6.52 ![X0]: (in(sk0_3(X0),X0)|in(sk0_4(X0),sk0_1))),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f36])).
% 48.74/6.52 fof(f42,plain,(
% 48.74/6.52 ![X0,X1]: (in(sk0_3(X0),X0)|~element(X1,powerset(the_carrier(sk0_0)))|~X1=sk0_4(X0)|sk0_5(X0)=subset_complement(the_carrier(sk0_0),X1))),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f36])).
% 48.74/6.52 fof(f43,plain,(
% 48.74/6.52 ![X0,X1,X2]: (~in(sk0_3(X0),X0)|~in(sk0_3(X0),cartesian_product2(sk0_1,sk0_2))|~ordered_pair(X1,X2)=sk0_3(X0)|~in(X1,sk0_1)|element(sk0_6(X2,X1,X0),powerset(the_carrier(sk0_0))))),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f36])).
% 48.74/6.52 fof(f44,plain,(
% 48.74/6.52 ![X0,X1,X2]: (~in(sk0_3(X0),X0)|~in(sk0_3(X0),cartesian_product2(sk0_1,sk0_2))|~ordered_pair(X1,X2)=sk0_3(X0)|~in(X1,sk0_1)|sk0_6(X2,X1,X0)=X1)),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f36])).
% 48.74/6.52 fof(f45,plain,(
% 48.74/6.52 ![X0,X1,X2]: (~in(sk0_3(X0),X0)|~in(sk0_3(X0),cartesian_product2(sk0_1,sk0_2))|~ordered_pair(X1,X2)=sk0_3(X0)|~in(X1,sk0_1)|~X2=subset_complement(the_carrier(sk0_0),sk0_6(X2,X1,X0)))),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f36])).
% 48.74/6.52 fof(f54,plain,(
% 48.74/6.52 (((((~empty(sk0_7)&v1_membered(sk0_7))&v2_membered(sk0_7))&v3_membered(sk0_7))&v4_membered(sk0_7))&v5_membered(sk0_7))),
% 48.74/6.52 inference(skolemization,[status(esa)],[f7])).
% 48.74/6.52 fof(f55,plain,(
% 48.74/6.52 ~empty(sk0_7)),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f54])).
% 48.74/6.52 fof(f107,plain,(
% 48.74/6.52 ![A]: (empty(A)|(?[B]: (element(B,powerset(A))&~empty(B))))),
% 48.74/6.52 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 48.74/6.52 fof(f108,plain,(
% 48.74/6.52 ![A]: (empty(A)|(element(sk0_8(A),powerset(A))&~empty(sk0_8(A))))),
% 48.74/6.52 inference(skolemization,[status(esa)],[f107])).
% 48.74/6.52 fof(f109,plain,(
% 48.74/6.52 ![X0]: (empty(X0)|element(sk0_8(X0),powerset(X0)))),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f108])).
% 48.74/6.52 fof(f110,plain,(
% 48.74/6.52 ![X0]: (empty(X0)|~empty(sk0_8(X0)))),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f108])).
% 48.74/6.52 fof(f111,plain,(
% 48.74/6.52 ![A,B]: ((empty(A)|empty(B))|~empty(cartesian_product2(A,B)))),
% 48.74/6.52 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 48.74/6.52 fof(f112,plain,(
% 48.74/6.52 ![X0,X1]: (empty(X0)|empty(X1)|~empty(cartesian_product2(X0,X1)))),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f111])).
% 48.74/6.52 fof(f113,plain,(
% 48.74/6.52 ![A]: (element(sk0_9(A),powerset(A))&empty(sk0_9(A)))),
% 48.74/6.52 inference(skolemization,[status(esa)],[f21])).
% 48.74/6.52 fof(f114,plain,(
% 48.74/6.52 ![X0]: (element(sk0_9(X0),powerset(X0)))),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f113])).
% 48.74/6.52 fof(f116,plain,(
% 48.74/6.52 ![A,B]: (~element(B,powerset(A))|subset_complement(A,subset_complement(A,B))=B)),
% 48.74/6.52 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 48.74/6.52 fof(f117,plain,(
% 48.74/6.52 ![X0,X1]: (~element(X0,powerset(X1))|subset_complement(X1,subset_complement(X1,X0))=X0)),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f116])).
% 48.74/6.52 fof(f118,plain,(
% 48.74/6.52 ![A,B]: (~in(A,B)|~in(B,A))),
% 48.74/6.52 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 48.74/6.52 fof(f119,plain,(
% 48.74/6.52 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f118])).
% 48.74/6.52 fof(f120,plain,(
% 48.74/6.52 ![A,B]: (~element(B,powerset(A))|element(subset_complement(A,B),powerset(A)))),
% 48.74/6.52 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 48.74/6.52 fof(f121,plain,(
% 48.74/6.52 ![X0,X1]: (~element(X0,powerset(X1))|element(subset_complement(X1,X0),powerset(X1)))),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f120])).
% 48.74/6.52 fof(f125,plain,(
% 48.74/6.52 ![X0]: (~empty(powerset(X0)))),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f32])).
% 48.74/6.52 fof(f126,plain,(
% 48.74/6.52 ![A,B]: ((~one_sorted_str(A)|~element(B,powerset(powerset(the_carrier(A)))))|(![C]: ((?[D,E,F]: ((((D=E&(?[G,H]: ((ordered_pair(G,H)=E&in(G,B))&(![I]: (~element(I,powerset(the_carrier(A)))|(~I=G|H=subset_complement(the_carrier(A),I)))))))&D=F)&(?[J,K]: ((ordered_pair(J,K)=F&in(J,B))&(![L]: (~element(L,powerset(the_carrier(A)))|(~L=J|K=subset_complement(the_carrier(A),L)))))))&~E=F))|(?[D]: ![E]: (in(E,D)<=>(?[F]: ((in(F,cartesian_product2(B,C))&F=E)&(?[M,N]: ((ordered_pair(M,N)=E&in(M,B))&(![O]: (~element(O,powerset(the_carrier(A)))|(~O=M|N=subset_complement(the_carrier(A),O)))))))))))))),
% 48.74/6.52 inference(pre_NNF_transformation,[status(esa)],[f33])).
% 48.74/6.52 fof(f127,plain,(
% 48.74/6.52 ![A,B,D,E,F]: (pd0_0(F,E,D,B,A)=>((((D=E&(?[G,H]: ((ordered_pair(G,H)=E&in(G,B))&(![I]: (~element(I,powerset(the_carrier(A)))|(~I=G|H=subset_complement(the_carrier(A),I)))))))&D=F)&(?[J,K]: ((ordered_pair(J,K)=F&in(J,B))&(![L]: (~element(L,powerset(the_carrier(A)))|(~L=J|K=subset_complement(the_carrier(A),L)))))))&~E=F))),
% 48.74/6.52 introduced(predicate_definition,[f126])).
% 48.74/6.52 fof(f128,plain,(
% 48.74/6.52 ![A,B]: ((~one_sorted_str(A)|~element(B,powerset(powerset(the_carrier(A)))))|(![C]: ((?[D,E,F]: pd0_0(F,E,D,B,A))|(?[D]: ![E]: (in(E,D)<=>(?[F]: ((in(F,cartesian_product2(B,C))&F=E)&(?[M,N]: ((ordered_pair(M,N)=E&in(M,B))&(![O]: (~element(O,powerset(the_carrier(A)))|(~O=M|N=subset_complement(the_carrier(A),O)))))))))))))),
% 48.74/6.52 inference(formula_renaming,[status(thm)],[f126,f127])).
% 48.74/6.52 fof(f129,plain,(
% 48.74/6.52 ![A,B]: ((~one_sorted_str(A)|~element(B,powerset(powerset(the_carrier(A)))))|(![C]: ((?[D,E,F]: pd0_0(F,E,D,B,A))|(?[D]: ![E]: ((~in(E,D)|(?[F]: ((in(F,cartesian_product2(B,C))&F=E)&(?[M,N]: ((ordered_pair(M,N)=E&in(M,B))&(![O]: (~element(O,powerset(the_carrier(A)))|(~O=M|N=subset_complement(the_carrier(A),O)))))))))&(in(E,D)|(![F]: ((~in(F,cartesian_product2(B,C))|~F=E)|(![M,N]: ((~ordered_pair(M,N)=E|~in(M,B))|(?[O]: (element(O,powerset(the_carrier(A)))&(O=M&~N=subset_complement(the_carrier(A),O))))))))))))))),
% 48.74/6.52 inference(NNF_transformation,[status(esa)],[f128])).
% 48.74/6.52 fof(f130,plain,(
% 48.74/6.52 ![A,B]: ((~one_sorted_str(A)|~element(B,powerset(powerset(the_carrier(A)))))|((?[D,E,F]: pd0_0(F,E,D,B,A))|(![C]: ?[D]: ((![E]: (~in(E,D)|((?[F]: (in(F,cartesian_product2(B,C))&F=E))&(?[M,N]: ((ordered_pair(M,N)=E&in(M,B))&(![O]: (~element(O,powerset(the_carrier(A)))|(~O=M|N=subset_complement(the_carrier(A),O)))))))))&(![E]: (in(E,D)|((![F]: (~in(F,cartesian_product2(B,C))|~F=E))|(![M,N]: ((~ordered_pair(M,N)=E|~in(M,B))|(?[O]: (element(O,powerset(the_carrier(A)))&(O=M&~N=subset_complement(the_carrier(A),O)))))))))))))),
% 48.74/6.52 inference(miniscoping,[status(esa)],[f129])).
% 48.74/6.52 fof(f131,plain,(
% 48.74/6.52 ![A,B]: ((~one_sorted_str(A)|~element(B,powerset(powerset(the_carrier(A)))))|(pd0_0(sk0_12(B,A),sk0_11(B,A),sk0_10(B,A),B,A)|(![C]: ((![E]: (~in(E,sk0_13(C,B,A))|((in(sk0_14(E,C,B,A),cartesian_product2(B,C))&sk0_14(E,C,B,A)=E)&((ordered_pair(sk0_15(E,C,B,A),sk0_16(E,C,B,A))=E&in(sk0_15(E,C,B,A),B))&(![O]: (~element(O,powerset(the_carrier(A)))|(~O=sk0_15(E,C,B,A)|sk0_16(E,C,B,A)=subset_complement(the_carrier(A),O))))))))&(![E]: (in(E,sk0_13(C,B,A))|((![F]: (~in(F,cartesian_product2(B,C))|~F=E))|(![M,N]: ((~ordered_pair(M,N)=E|~in(M,B))|(element(sk0_17(N,M,E,C,B,A),powerset(the_carrier(A)))&(sk0_17(N,M,E,C,B,A)=M&~N=subset_complement(the_carrier(A),sk0_17(N,M,E,C,B,A)))))))))))))),
% 48.74/6.52 inference(skolemization,[status(esa)],[f130])).
% 48.74/6.52 fof(f132,plain,(
% 48.74/6.52 ![X0,X1,X2,X3]: (~one_sorted_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(X1,X0),sk0_11(X1,X0),sk0_10(X1,X0),X1,X0)|~in(X2,sk0_13(X3,X1,X0))|in(sk0_14(X2,X3,X1,X0),cartesian_product2(X1,X3)))),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f131])).
% 48.74/6.52 fof(f133,plain,(
% 48.74/6.52 ![X0,X1,X2,X3]: (~one_sorted_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(X1,X0),sk0_11(X1,X0),sk0_10(X1,X0),X1,X0)|~in(X2,sk0_13(X3,X1,X0))|sk0_14(X2,X3,X1,X0)=X2)),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f131])).
% 48.74/6.52 fof(f134,plain,(
% 48.74/6.52 ![X0,X1,X2,X3]: (~one_sorted_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(X1,X0),sk0_11(X1,X0),sk0_10(X1,X0),X1,X0)|~in(X2,sk0_13(X3,X1,X0))|ordered_pair(sk0_15(X2,X3,X1,X0),sk0_16(X2,X3,X1,X0))=X2)),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f131])).
% 48.74/6.52 fof(f135,plain,(
% 48.74/6.52 ![X0,X1,X2,X3]: (~one_sorted_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(X1,X0),sk0_11(X1,X0),sk0_10(X1,X0),X1,X0)|~in(X2,sk0_13(X3,X1,X0))|in(sk0_15(X2,X3,X1,X0),X1))),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f131])).
% 48.74/6.52 fof(f136,plain,(
% 48.74/6.52 ![X0,X1,X2,X3,X4]: (~one_sorted_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(X1,X0),sk0_11(X1,X0),sk0_10(X1,X0),X1,X0)|~in(X2,sk0_13(X3,X1,X0))|~element(X4,powerset(the_carrier(X0)))|~X4=sk0_15(X2,X3,X1,X0)|sk0_16(X2,X3,X1,X0)=subset_complement(the_carrier(X0),X4))),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f131])).
% 48.74/6.52 fof(f137,plain,(
% 48.74/6.52 ![X0,X1,X2,X3,X4,X5,X6]: (~one_sorted_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(X1,X0),sk0_11(X1,X0),sk0_10(X1,X0),X1,X0)|in(X2,sk0_13(X3,X1,X0))|~in(X4,cartesian_product2(X1,X3))|~X4=X2|~ordered_pair(X5,X6)=X2|~in(X5,X1)|element(sk0_17(X6,X5,X2,X3,X1,X0),powerset(the_carrier(X0))))),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f131])).
% 48.74/6.52 fof(f138,plain,(
% 48.74/6.52 ![X0,X1,X2,X3,X4,X5,X6]: (~one_sorted_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(X1,X0),sk0_11(X1,X0),sk0_10(X1,X0),X1,X0)|in(X2,sk0_13(X3,X1,X0))|~in(X4,cartesian_product2(X1,X3))|~X4=X2|~ordered_pair(X5,X6)=X2|~in(X5,X1)|sk0_17(X6,X5,X2,X3,X1,X0)=X5)),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f131])).
% 48.74/6.52 fof(f139,plain,(
% 48.74/6.52 ![X0,X1,X2,X3,X4,X5,X6]: (~one_sorted_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(X1,X0),sk0_11(X1,X0),sk0_10(X1,X0),X1,X0)|in(X2,sk0_13(X3,X1,X0))|~in(X4,cartesian_product2(X1,X3))|~X4=X2|~ordered_pair(X5,X6)=X2|~in(X5,X1)|~X6=subset_complement(the_carrier(X0),sk0_17(X6,X5,X2,X3,X1,X0)))),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f131])).
% 48.74/6.52 fof(f140,plain,(
% 48.74/6.52 ![A,B,D,E,F]: (~pd0_0(F,E,D,B,A)|((((D=E&(?[G,H]: ((ordered_pair(G,H)=E&in(G,B))&(![I]: (~element(I,powerset(the_carrier(A)))|(~I=G|H=subset_complement(the_carrier(A),I)))))))&D=F)&(?[J,K]: ((ordered_pair(J,K)=F&in(J,B))&(![L]: (~element(L,powerset(the_carrier(A)))|(~L=J|K=subset_complement(the_carrier(A),L)))))))&~E=F))),
% 48.74/6.52 inference(pre_NNF_transformation,[status(esa)],[f127])).
% 48.74/6.52 fof(f141,plain,(
% 48.74/6.52 ![A,B,D,E,F]: (~pd0_0(F,E,D,B,A)|((((D=E&((ordered_pair(sk0_18(F,E,D,B,A),sk0_19(F,E,D,B,A))=E&in(sk0_18(F,E,D,B,A),B))&(![I]: (~element(I,powerset(the_carrier(A)))|(~I=sk0_18(F,E,D,B,A)|sk0_19(F,E,D,B,A)=subset_complement(the_carrier(A),I))))))&D=F)&((ordered_pair(sk0_20(F,E,D,B,A),sk0_21(F,E,D,B,A))=F&in(sk0_20(F,E,D,B,A),B))&(![L]: (~element(L,powerset(the_carrier(A)))|(~L=sk0_20(F,E,D,B,A)|sk0_21(F,E,D,B,A)=subset_complement(the_carrier(A),L))))))&~E=F))),
% 48.74/6.52 inference(skolemization,[status(esa)],[f140])).
% 48.74/6.52 fof(f142,plain,(
% 48.74/6.52 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|X2=X1)),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f141])).
% 48.74/6.52 fof(f146,plain,(
% 48.74/6.52 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|X2=X0)),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f141])).
% 48.74/6.52 fof(f150,plain,(
% 48.74/6.52 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|~X1=X0)),
% 48.74/6.52 inference(cnf_transformation,[status(esa)],[f141])).
% 48.74/6.52 fof(f151,plain,(
% 48.74/6.52 ![X0]: (in(sk0_3(X0),X0)|~element(sk0_4(X0),powerset(the_carrier(sk0_0)))|sk0_5(X0)=subset_complement(the_carrier(sk0_0),sk0_4(X0)))),
% 48.74/6.52 inference(destructive_equality_resolution,[status(esa)],[f42])).
% 48.74/6.52 fof(f152,plain,(
% 48.74/6.52 ![X0,X1,X2,X3]: (~one_sorted_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(X1,X0),sk0_11(X1,X0),sk0_10(X1,X0),X1,X0)|~in(X2,sk0_13(X3,X1,X0))|~element(sk0_15(X2,X3,X1,X0),powerset(the_carrier(X0)))|sk0_16(X2,X3,X1,X0)=subset_complement(the_carrier(X0),sk0_15(X2,X3,X1,X0)))),
% 48.74/6.52 inference(destructive_equality_resolution,[status(esa)],[f136])).
% 48.74/6.52 fof(f153,plain,(
% 48.74/6.52 ![X0,X1,X2,X3,X4]: (~one_sorted_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(X1,X0),sk0_11(X1,X0),sk0_10(X1,X0),X1,X0)|in(ordered_pair(X2,X3),sk0_13(X4,X1,X0))|~in(ordered_pair(X2,X3),cartesian_product2(X1,X4))|~in(X2,X1)|element(sk0_17(X3,X2,ordered_pair(X2,X3),X4,X1,X0),powerset(the_carrier(X0))))),
% 48.74/6.52 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 48.74/6.52 fof(f154,plain,(
% 48.74/6.52 ![X0,X1,X2,X3,X4]: (~one_sorted_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(X1,X0),sk0_11(X1,X0),sk0_10(X1,X0),X1,X0)|in(ordered_pair(X2,X3),sk0_13(X4,X1,X0))|~in(ordered_pair(X2,X3),cartesian_product2(X1,X4))|~in(X2,X1)|sk0_17(X3,X2,ordered_pair(X2,X3),X4,X1,X0)=X2)),
% 48.74/6.52 inference(destructive_equality_resolution,[status(esa)],[f138])).
% 48.74/6.52 fof(f155,plain,(
% 48.74/6.52 ![X0,X1,X2,X3,X4]: (~one_sorted_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(X1,X0),sk0_11(X1,X0),sk0_10(X1,X0),X1,X0)|in(ordered_pair(X2,X3),sk0_13(X4,X1,X0))|~in(ordered_pair(X2,X3),cartesian_product2(X1,X4))|~in(X2,X1)|~X3=subset_complement(the_carrier(X0),sk0_17(X3,X2,ordered_pair(X2,X3),X4,X1,X0)))),
% 48.74/6.52 inference(destructive_equality_resolution,[status(esa)],[f139])).
% 48.74/6.52 fof(f158,plain,(
% 48.74/6.52 ![X0,X1,X2,X3]: (~pd0_0(X0,X0,X1,X2,X3))),
% 48.74/6.52 inference(destructive_equality_resolution,[status(esa)],[f150])).
% 48.74/6.52 fof(f159,plain,(
% 48.74/6.52 spl0_0 <=> in(sk0_3(cartesian_product2(sk0_1,sk0_2)),cartesian_product2(sk0_1,sk0_2))),
% 48.74/6.52 introduced(split_symbol_definition)).
% 48.74/6.52 fof(f160,plain,(
% 48.74/6.52 in(sk0_3(cartesian_product2(sk0_1,sk0_2)),cartesian_product2(sk0_1,sk0_2))|~spl0_0),
% 48.74/6.52 inference(component_clause,[status(thm)],[f159])).
% 48.74/6.52 fof(f161,plain,(
% 48.74/6.52 ~in(sk0_3(cartesian_product2(sk0_1,sk0_2)),cartesian_product2(sk0_1,sk0_2))|spl0_0),
% 48.74/6.52 inference(component_clause,[status(thm)],[f159])).
% 48.74/6.52 fof(f162,plain,(
% 48.74/6.52 spl0_1 <=> ~ordered_pair(X0,X1)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X0,sk0_1)|sk0_6(X1,X0,cartesian_product2(sk0_1,sk0_2))=X0),
% 48.74/6.52 introduced(split_symbol_definition)).
% 48.74/6.52 fof(f163,plain,(
% 48.74/6.52 ![X0,X1]: (~ordered_pair(X0,X1)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X0,sk0_1)|sk0_6(X1,X0,cartesian_product2(sk0_1,sk0_2))=X0|~spl0_1)),
% 48.74/6.52 inference(component_clause,[status(thm)],[f162])).
% 48.74/6.52 fof(f170,plain,(
% 48.74/6.52 in(sk0_3(cartesian_product2(sk0_1,sk0_2)),cartesian_product2(sk0_1,sk0_2))|spl0_0),
% 48.74/6.52 inference(resolution,[status(thm)],[f161,f39])).
% 48.74/6.52 fof(f171,plain,(
% 48.74/6.52 $false|spl0_0),
% 48.74/6.52 inference(forward_subsumption_resolution,[status(thm)],[f170,f161])).
% 48.74/6.52 fof(f172,plain,(
% 48.74/6.52 spl0_0),
% 48.74/6.52 inference(contradiction_clause,[status(thm)],[f171])).
% 48.74/6.52 fof(f173,plain,(
% 48.74/6.52 ![X0,X1]: (~in(sk0_3(cartesian_product2(sk0_1,sk0_2)),cartesian_product2(sk0_1,sk0_2))|~ordered_pair(X0,X1)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X0,sk0_1)|sk0_6(X1,X0,cartesian_product2(sk0_1,sk0_2))=X0|~spl0_0)),
% 48.74/6.52 inference(resolution,[status(thm)],[f160,f44])).
% 48.74/6.52 fof(f174,plain,(
% 48.74/6.52 ~spl0_0|spl0_1),
% 48.74/6.52 inference(split_clause,[status(thm)],[f173,f159,f162])).
% 48.74/6.52 fof(f175,plain,(
% 48.74/6.52 spl0_3 <=> ~ordered_pair(X0,X1)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X0,sk0_1)|~X1=subset_complement(the_carrier(sk0_0),sk0_6(X1,X0,cartesian_product2(sk0_1,sk0_2)))),
% 48.74/6.52 introduced(split_symbol_definition)).
% 48.74/6.52 fof(f176,plain,(
% 48.74/6.52 ![X0,X1]: (~ordered_pair(X0,X1)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X0,sk0_1)|~X1=subset_complement(the_carrier(sk0_0),sk0_6(X1,X0,cartesian_product2(sk0_1,sk0_2)))|~spl0_3)),
% 48.74/6.52 inference(component_clause,[status(thm)],[f175])).
% 48.74/6.52 fof(f178,plain,(
% 48.74/6.52 ![X0,X1]: (~in(sk0_3(cartesian_product2(sk0_1,sk0_2)),cartesian_product2(sk0_1,sk0_2))|~ordered_pair(X0,X1)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X0,sk0_1)|~X1=subset_complement(the_carrier(sk0_0),sk0_6(X1,X0,cartesian_product2(sk0_1,sk0_2)))|~spl0_0)),
% 48.74/6.52 inference(resolution,[status(thm)],[f45,f160])).
% 48.74/6.52 fof(f179,plain,(
% 48.74/6.52 ~spl0_0|spl0_3),
% 48.74/6.52 inference(split_clause,[status(thm)],[f178,f159,f175])).
% 48.74/6.52 fof(f182,plain,(
% 48.74/6.52 spl0_4 <=> ~ordered_pair(X0,X1)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X0,sk0_1)|element(sk0_6(X1,X0,cartesian_product2(sk0_1,sk0_2)),powerset(the_carrier(sk0_0)))),
% 48.74/6.52 introduced(split_symbol_definition)).
% 48.74/6.52 fof(f183,plain,(
% 48.74/6.52 ![X0,X1]: (~ordered_pair(X0,X1)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X0,sk0_1)|element(sk0_6(X1,X0,cartesian_product2(sk0_1,sk0_2)),powerset(the_carrier(sk0_0)))|~spl0_4)),
% 48.74/6.53 inference(component_clause,[status(thm)],[f182])).
% 48.74/6.53 fof(f185,plain,(
% 48.74/6.53 ![X0,X1]: (~in(sk0_3(cartesian_product2(sk0_1,sk0_2)),cartesian_product2(sk0_1,sk0_2))|~ordered_pair(X0,X1)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X0,sk0_1)|element(sk0_6(X1,X0,cartesian_product2(sk0_1,sk0_2)),powerset(the_carrier(sk0_0)))|~spl0_0)),
% 48.74/6.53 inference(resolution,[status(thm)],[f43,f160])).
% 48.74/6.53 fof(f186,plain,(
% 48.74/6.53 ~spl0_0|spl0_4),
% 48.74/6.53 inference(split_clause,[status(thm)],[f185,f159,f182])).
% 48.74/6.53 fof(f193,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))=sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f117,f183])).
% 48.74/6.53 fof(f194,plain,(
% 48.74/6.53 subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1))=sk0_1),
% 48.74/6.53 inference(resolution,[status(thm)],[f117,f38])).
% 48.74/6.53 fof(f195,plain,(
% 48.74/6.53 ![X0,X1]: (~element(X0,powerset(X1))|subset_complement(X1,subset_complement(X1,subset_complement(X1,X0)))=subset_complement(X1,X0))),
% 48.74/6.53 inference(resolution,[status(thm)],[f121,f117])).
% 48.74/6.53 fof(f196,plain,(
% 48.74/6.53 spl0_5 <=> element(subset_complement(powerset(the_carrier(sk0_0)),sk0_1),powerset(powerset(the_carrier(sk0_0))))),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f198,plain,(
% 48.74/6.53 ~element(subset_complement(powerset(the_carrier(sk0_0)),sk0_1),powerset(powerset(the_carrier(sk0_0))))|spl0_5),
% 48.74/6.53 inference(component_clause,[status(thm)],[f196])).
% 48.74/6.53 fof(f199,plain,(
% 48.74/6.53 spl0_6 <=> element(sk0_1,powerset(powerset(the_carrier(sk0_0))))),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f202,plain,(
% 48.74/6.53 ~element(subset_complement(powerset(the_carrier(sk0_0)),sk0_1),powerset(powerset(the_carrier(sk0_0))))|element(sk0_1,powerset(powerset(the_carrier(sk0_0))))),
% 48.74/6.53 inference(paramodulation,[status(thm)],[f194,f121])).
% 48.74/6.53 fof(f203,plain,(
% 48.74/6.53 ~spl0_5|spl0_6),
% 48.74/6.53 inference(split_clause,[status(thm)],[f202,f196,f199])).
% 48.74/6.53 fof(f204,plain,(
% 48.74/6.53 ~element(sk0_1,powerset(powerset(the_carrier(sk0_0))))|spl0_5),
% 48.74/6.53 inference(resolution,[status(thm)],[f198,f121])).
% 48.74/6.53 fof(f205,plain,(
% 48.74/6.53 $false|spl0_5),
% 48.74/6.53 inference(forward_subsumption_resolution,[status(thm)],[f204,f38])).
% 48.74/6.53 fof(f206,plain,(
% 48.74/6.53 spl0_5),
% 48.74/6.53 inference(contradiction_clause,[status(thm)],[f205])).
% 48.74/6.53 fof(f209,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))=subset_complement(X0,subset_complement(X0,X1))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f195,f121])).
% 48.74/6.53 fof(f210,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))=subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f195,f183])).
% 48.74/6.53 fof(f213,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f209,f121])).
% 48.74/6.53 fof(f214,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f209,f183])).
% 48.74/6.53 fof(f217,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f213,f121])).
% 48.74/6.53 fof(f218,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f213,f183])).
% 48.74/6.53 fof(f221,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f217,f121])).
% 48.74/6.53 fof(f222,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f217,f183])).
% 48.74/6.53 fof(f225,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f221,f121])).
% 48.74/6.53 fof(f226,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f221,f183])).
% 48.74/6.53 fof(f229,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f225,f121])).
% 48.74/6.53 fof(f230,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f225,f183])).
% 48.74/6.53 fof(f233,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))))))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))))))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f229,f121])).
% 48.74/6.53 fof(f234,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f229,f183])).
% 48.74/6.53 fof(f237,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))))))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))))))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f233,f121])).
% 48.74/6.53 fof(f238,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f233,f183])).
% 48.74/6.53 fof(f241,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))))))))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))))))))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f237,f121])).
% 48.74/6.53 fof(f242,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f237,f183])).
% 48.74/6.53 fof(f245,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))))))))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))))))))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f241,f121])).
% 48.74/6.53 fof(f246,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))))))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f241,f183])).
% 48.74/6.53 fof(f249,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))))))))))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))))))))))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f245,f121])).
% 48.74/6.53 fof(f250,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))))))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f245,f183])).
% 48.74/6.53 fof(f253,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))))))))))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))))))))))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f249,f121])).
% 48.74/6.53 fof(f254,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))))))))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f249,f183])).
% 48.74/6.53 fof(f257,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))))))))))))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))))))))))))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f253,f121])).
% 48.74/6.53 fof(f258,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))))))))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f253,f183])).
% 48.74/6.53 fof(f261,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))))))))))))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))))))))))))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f257,f121])).
% 48.74/6.53 fof(f262,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))))))))))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f257,f183])).
% 48.74/6.53 fof(f265,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))))))))))))))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))))))))))))))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f261,f121])).
% 48.74/6.53 fof(f266,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))))))))))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f261,f183])).
% 48.74/6.53 fof(f269,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))))))))))))))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))))))))))))))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f265,f121])).
% 48.74/6.53 fof(f270,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))))))))))))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f265,f183])).
% 48.74/6.53 fof(f273,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))))))))))))))))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))))))))))))))))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f269,f121])).
% 48.74/6.53 fof(f274,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))))))))))))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f269,f183])).
% 48.74/6.53 fof(f277,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))))))))))))))))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))))))))))))))))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f273,f121])).
% 48.74/6.53 fof(f278,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))))))))))))))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f273,f183])).
% 48.74/6.53 fof(f281,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))))))))))))))))))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))))))))))))))))))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f277,f121])).
% 48.74/6.53 fof(f282,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f277,f183])).
% 48.74/6.53 fof(f285,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))))))))))))))))))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))))))))))))))))))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f281,f121])).
% 48.74/6.53 fof(f286,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f281,f183])).
% 48.74/6.53 fof(f289,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))))))))))))))))))))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))))))))))))))))))))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f285,f121])).
% 48.74/6.53 fof(f290,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f285,f183])).
% 48.74/6.53 fof(f293,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))))))))))))))))))))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))))))))))))))))))))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f289,f121])).
% 48.74/6.53 fof(f294,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f289,f183])).
% 48.74/6.53 fof(f297,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))))))))))))))))))))))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))))))))))))))))))))))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f293,f121])).
% 48.74/6.53 fof(f298,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f293,f183])).
% 48.74/6.53 fof(f301,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))))))))))))))))))))))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))))))))))))))))))))))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f297,f121])).
% 48.74/6.53 fof(f302,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f297,f183])).
% 48.74/6.53 fof(f305,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))))))))))))))))))))))))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))))))))))))))))))))))))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f301,f121])).
% 48.74/6.53 fof(f306,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f301,f183])).
% 48.74/6.53 fof(f309,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))))))))))))))))))))))))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))))))))))))))))))))))))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f305,f121])).
% 48.74/6.53 fof(f310,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f305,f183])).
% 48.74/6.53 fof(f313,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))))))))))))))))))))))))))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))))))))))))))))))))))))))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f309,f121])).
% 48.74/6.53 fof(f314,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f309,f183])).
% 48.74/6.53 fof(f317,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))))))))))))))))))))))))))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))))))))))))))))))))))))))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f313,f121])).
% 48.74/6.53 fof(f318,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))))))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f313,f183])).
% 48.74/6.53 fof(f321,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))))))))))))))))))))))))))))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1))))))))))))))))))))))))))))))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f317,f121])).
% 48.74/6.53 fof(f322,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))))))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f317,f183])).
% 48.74/6.53 fof(f325,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))))))))))))))))))))))))))))))=subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))))))))))))))))))))))))))))))|~element(X1,powerset(X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f321,f121])).
% 48.74/6.53 fof(f326,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))))))))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f321,f183])).
% 48.74/6.53 fof(f330,plain,(
% 48.74/6.53 ![X0,X1]: (subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X0,X1,cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))))))))))|~ordered_pair(X1,X0)=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(X1,sk0_1)|~spl0_4)),
% 48.74/6.53 inference(resolution,[status(thm)],[f325,f183])).
% 48.74/6.53 fof(f463,plain,(
% 48.74/6.53 ![X0]: (empty(X0)|subset_complement(X0,subset_complement(X0,sk0_8(X0)))=sk0_8(X0))),
% 48.74/6.53 inference(resolution,[status(thm)],[f109,f117])).
% 48.74/6.53 fof(f520,plain,(
% 48.74/6.53 ![X0]: (subset_complement(X0,subset_complement(X0,sk0_9(X0)))=sk0_9(X0))),
% 48.74/6.53 inference(resolution,[status(thm)],[f114,f117])).
% 48.74/6.53 fof(f522,plain,(
% 48.74/6.53 ![X0,X1,X2,X3]: (~one_sorted_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(X1,X0),sk0_11(X1,X0),sk0_10(X1,X0),X1,X0)|~in(X2,sk0_13(X3,X1,X0))|~in(cartesian_product2(X1,X3),sk0_14(X2,X3,X1,X0)))),
% 48.74/6.53 inference(resolution,[status(thm)],[f132,f119])).
% 48.74/6.53 fof(f523,plain,(
% 48.74/6.53 ![X0,X1,X2]: (~element(X0,powerset(powerset(the_carrier(sk0_0))))|pd0_0(sk0_12(X0,sk0_0),sk0_11(X0,sk0_0),sk0_10(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_13(X2,X0,sk0_0))|sk0_14(X1,X2,X0,sk0_0)=X1)),
% 48.74/6.53 inference(resolution,[status(thm)],[f133,f37])).
% 48.74/6.53 fof(f524,plain,(
% 48.74/6.53 ![X0,X1,X2]: (~element(X0,powerset(powerset(the_carrier(sk0_0))))|pd0_0(sk0_12(X0,sk0_0),sk0_11(X0,sk0_0),sk0_10(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_13(X2,X0,sk0_0))|ordered_pair(sk0_15(X1,X2,X0,sk0_0),sk0_16(X1,X2,X0,sk0_0))=X1)),
% 48.74/6.53 inference(resolution,[status(thm)],[f134,f37])).
% 48.74/6.53 fof(f525,plain,(
% 48.74/6.53 ![X0,X1,X2]: (~element(X0,powerset(powerset(the_carrier(sk0_0))))|pd0_0(sk0_12(X0,sk0_0),sk0_11(X0,sk0_0),sk0_10(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_13(X2,X0,sk0_0))|in(sk0_15(X1,X2,X0,sk0_0),X0))),
% 48.74/6.53 inference(resolution,[status(thm)],[f135,f37])).
% 48.74/6.53 fof(f527,plain,(
% 48.74/6.53 spl0_7 <=> pd0_0(sk0_12(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_11(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_10(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_9(powerset(the_carrier(sk0_0))),sk0_0)),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f528,plain,(
% 48.74/6.53 pd0_0(sk0_12(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_11(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_10(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_9(powerset(the_carrier(sk0_0))),sk0_0)|~spl0_7),
% 48.74/6.53 inference(component_clause,[status(thm)],[f527])).
% 48.74/6.53 fof(f529,plain,(
% 48.74/6.53 ~pd0_0(sk0_12(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_11(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_10(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_9(powerset(the_carrier(sk0_0))),sk0_0)|spl0_7),
% 48.74/6.53 inference(component_clause,[status(thm)],[f527])).
% 48.74/6.53 fof(f530,plain,(
% 48.74/6.53 spl0_8 <=> ~in(X0,sk0_13(X1,sk0_9(powerset(the_carrier(sk0_0))),sk0_0))|sk0_14(X0,X1,sk0_9(powerset(the_carrier(sk0_0))),sk0_0)=X0),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f533,plain,(
% 48.74/6.53 ![X0,X1]: (pd0_0(sk0_12(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_11(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_10(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_9(powerset(the_carrier(sk0_0))),sk0_0)|~in(X0,sk0_13(X1,sk0_9(powerset(the_carrier(sk0_0))),sk0_0))|sk0_14(X0,X1,sk0_9(powerset(the_carrier(sk0_0))),sk0_0)=X0)),
% 48.74/6.53 inference(resolution,[status(thm)],[f523,f114])).
% 48.74/6.53 fof(f534,plain,(
% 48.74/6.53 spl0_7|spl0_8),
% 48.74/6.53 inference(split_clause,[status(thm)],[f533,f527,f530])).
% 48.74/6.53 fof(f535,plain,(
% 48.74/6.53 spl0_9 <=> pd0_0(sk0_12(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_11(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_10(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_8(powerset(the_carrier(sk0_0))),sk0_0)),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f536,plain,(
% 48.74/6.53 pd0_0(sk0_12(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_11(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_10(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_8(powerset(the_carrier(sk0_0))),sk0_0)|~spl0_9),
% 48.74/6.53 inference(component_clause,[status(thm)],[f535])).
% 48.74/6.53 fof(f537,plain,(
% 48.74/6.53 ~pd0_0(sk0_12(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_11(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_10(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_8(powerset(the_carrier(sk0_0))),sk0_0)|spl0_9),
% 48.74/6.53 inference(component_clause,[status(thm)],[f535])).
% 48.74/6.53 fof(f538,plain,(
% 48.74/6.53 spl0_10 <=> ~in(X0,sk0_13(X1,sk0_8(powerset(the_carrier(sk0_0))),sk0_0))|sk0_14(X0,X1,sk0_8(powerset(the_carrier(sk0_0))),sk0_0)=X0),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f541,plain,(
% 48.74/6.53 spl0_11 <=> empty(powerset(the_carrier(sk0_0)))),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f542,plain,(
% 48.74/6.53 empty(powerset(the_carrier(sk0_0)))|~spl0_11),
% 48.74/6.53 inference(component_clause,[status(thm)],[f541])).
% 48.74/6.53 fof(f544,plain,(
% 48.74/6.53 ![X0,X1]: (pd0_0(sk0_12(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_11(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_10(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_8(powerset(the_carrier(sk0_0))),sk0_0)|~in(X0,sk0_13(X1,sk0_8(powerset(the_carrier(sk0_0))),sk0_0))|sk0_14(X0,X1,sk0_8(powerset(the_carrier(sk0_0))),sk0_0)=X0|empty(powerset(the_carrier(sk0_0))))),
% 48.74/6.53 inference(resolution,[status(thm)],[f523,f109])).
% 48.74/6.53 fof(f545,plain,(
% 48.74/6.53 spl0_9|spl0_10|spl0_11),
% 48.74/6.53 inference(split_clause,[status(thm)],[f544,f535,f538,f541])).
% 48.74/6.53 fof(f546,plain,(
% 48.74/6.53 spl0_12 <=> pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0)),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f547,plain,(
% 48.74/6.53 pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0)|~spl0_12),
% 48.74/6.53 inference(component_clause,[status(thm)],[f546])).
% 48.74/6.53 fof(f548,plain,(
% 48.74/6.53 ~pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0)|spl0_12),
% 48.74/6.53 inference(component_clause,[status(thm)],[f546])).
% 48.74/6.53 fof(f549,plain,(
% 48.74/6.53 spl0_13 <=> ~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0))|sk0_14(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0)=X0),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f554,plain,(
% 48.74/6.53 ![X0,X1,X2]: (pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),X0),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),X0),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),X0),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),X0),sk0_0)|~in(X1,sk0_13(X2,subset_complement(powerset(the_carrier(sk0_0)),X0),sk0_0))|sk0_14(X1,X2,subset_complement(powerset(the_carrier(sk0_0)),X0),sk0_0)=X1|~element(X0,powerset(powerset(the_carrier(sk0_0)))))),
% 48.74/6.53 inference(resolution,[status(thm)],[f523,f121])).
% 48.74/6.53 fof(f555,plain,(
% 48.74/6.53 spl0_14 <=> pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(sk0_1,sk0_0),sk0_10(sk0_1,sk0_0),sk0_1,sk0_0)),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f556,plain,(
% 48.74/6.53 pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(sk0_1,sk0_0),sk0_10(sk0_1,sk0_0),sk0_1,sk0_0)|~spl0_14),
% 48.74/6.53 inference(component_clause,[status(thm)],[f555])).
% 48.74/6.53 fof(f557,plain,(
% 48.74/6.53 ~pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(sk0_1,sk0_0),sk0_10(sk0_1,sk0_0),sk0_1,sk0_0)|spl0_14),
% 48.74/6.53 inference(component_clause,[status(thm)],[f555])).
% 48.74/6.53 fof(f558,plain,(
% 48.74/6.53 spl0_15 <=> ~in(X0,sk0_13(X1,sk0_1,sk0_0))|sk0_14(X0,X1,sk0_1,sk0_0)=X0),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f559,plain,(
% 48.74/6.53 ![X0,X1]: (~in(X0,sk0_13(X1,sk0_1,sk0_0))|sk0_14(X0,X1,sk0_1,sk0_0)=X0|~spl0_15)),
% 48.74/6.53 inference(component_clause,[status(thm)],[f558])).
% 48.74/6.53 fof(f561,plain,(
% 48.74/6.53 ![X0,X1]: (pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(sk0_1,sk0_0),sk0_10(sk0_1,sk0_0),sk0_1,sk0_0)|~in(X0,sk0_13(X1,sk0_1,sk0_0))|sk0_14(X0,X1,sk0_1,sk0_0)=X0)),
% 48.74/6.53 inference(resolution,[status(thm)],[f523,f38])).
% 48.74/6.53 fof(f562,plain,(
% 48.74/6.53 spl0_14|spl0_15),
% 48.74/6.53 inference(split_clause,[status(thm)],[f561,f555,f558])).
% 48.74/6.53 fof(f563,plain,(
% 48.74/6.53 $false|~spl0_11),
% 48.74/6.53 inference(forward_subsumption_resolution,[status(thm)],[f542,f125])).
% 48.74/6.53 fof(f564,plain,(
% 48.74/6.53 ~spl0_11),
% 48.74/6.53 inference(contradiction_clause,[status(thm)],[f563])).
% 48.74/6.53 fof(f567,plain,(
% 48.74/6.53 sk0_10(sk0_9(powerset(the_carrier(sk0_0))),sk0_0)=sk0_12(sk0_9(powerset(the_carrier(sk0_0))),sk0_0)|~spl0_7),
% 48.74/6.53 inference(resolution,[status(thm)],[f528,f146])).
% 48.74/6.53 fof(f568,plain,(
% 48.74/6.53 sk0_10(sk0_9(powerset(the_carrier(sk0_0))),sk0_0)=sk0_11(sk0_9(powerset(the_carrier(sk0_0))),sk0_0)|~spl0_7),
% 48.74/6.53 inference(resolution,[status(thm)],[f528,f142])).
% 48.74/6.53 fof(f569,plain,(
% 48.74/6.53 pd0_0(sk0_10(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_11(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_10(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_9(powerset(the_carrier(sk0_0))),sk0_0)|~spl0_7),
% 48.74/6.53 inference(backward_demodulation,[status(thm)],[f567,f528])).
% 48.74/6.53 fof(f570,plain,(
% 48.74/6.53 pd0_0(sk0_10(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_10(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_10(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_9(powerset(the_carrier(sk0_0))),sk0_0)|~spl0_7),
% 48.74/6.53 inference(forward_demodulation,[status(thm)],[f568,f569])).
% 48.74/6.53 fof(f571,plain,(
% 48.74/6.53 $false|~spl0_7),
% 48.74/6.53 inference(forward_subsumption_resolution,[status(thm)],[f570,f158])).
% 48.74/6.53 fof(f572,plain,(
% 48.74/6.53 ~spl0_7),
% 48.74/6.53 inference(contradiction_clause,[status(thm)],[f571])).
% 48.74/6.53 fof(f575,plain,(
% 48.74/6.53 sk0_10(sk0_8(powerset(the_carrier(sk0_0))),sk0_0)=sk0_12(sk0_8(powerset(the_carrier(sk0_0))),sk0_0)|~spl0_9),
% 48.74/6.53 inference(resolution,[status(thm)],[f536,f146])).
% 48.74/6.53 fof(f576,plain,(
% 48.74/6.53 sk0_10(sk0_8(powerset(the_carrier(sk0_0))),sk0_0)=sk0_11(sk0_8(powerset(the_carrier(sk0_0))),sk0_0)|~spl0_9),
% 48.74/6.53 inference(resolution,[status(thm)],[f536,f142])).
% 48.74/6.53 fof(f577,plain,(
% 48.74/6.53 pd0_0(sk0_10(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_11(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_10(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_8(powerset(the_carrier(sk0_0))),sk0_0)|~spl0_9),
% 48.74/6.53 inference(backward_demodulation,[status(thm)],[f575,f536])).
% 48.74/6.53 fof(f578,plain,(
% 48.74/6.53 pd0_0(sk0_10(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_10(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_10(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_8(powerset(the_carrier(sk0_0))),sk0_0)|~spl0_9),
% 48.74/6.53 inference(forward_demodulation,[status(thm)],[f576,f577])).
% 48.74/6.53 fof(f579,plain,(
% 48.74/6.53 $false|~spl0_9),
% 48.74/6.53 inference(forward_subsumption_resolution,[status(thm)],[f578,f158])).
% 48.74/6.53 fof(f580,plain,(
% 48.74/6.53 ~spl0_9),
% 48.74/6.53 inference(contradiction_clause,[status(thm)],[f579])).
% 48.74/6.53 fof(f581,plain,(
% 48.74/6.53 spl0_16 <=> ~in(X0,sk0_13(X1,sk0_9(powerset(the_carrier(sk0_0))),sk0_0))|ordered_pair(sk0_15(X0,X1,sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_16(X0,X1,sk0_9(powerset(the_carrier(sk0_0))),sk0_0))=X0),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f584,plain,(
% 48.74/6.53 ![X0,X1]: (pd0_0(sk0_12(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_11(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_10(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_9(powerset(the_carrier(sk0_0))),sk0_0)|~in(X0,sk0_13(X1,sk0_9(powerset(the_carrier(sk0_0))),sk0_0))|ordered_pair(sk0_15(X0,X1,sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_16(X0,X1,sk0_9(powerset(the_carrier(sk0_0))),sk0_0))=X0)),
% 48.74/6.53 inference(resolution,[status(thm)],[f524,f114])).
% 48.74/6.53 fof(f585,plain,(
% 48.74/6.53 spl0_7|spl0_16),
% 48.74/6.53 inference(split_clause,[status(thm)],[f584,f527,f581])).
% 48.74/6.53 fof(f586,plain,(
% 48.74/6.53 spl0_17 <=> ~in(X0,sk0_13(X1,sk0_8(powerset(the_carrier(sk0_0))),sk0_0))|ordered_pair(sk0_15(X0,X1,sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_16(X0,X1,sk0_8(powerset(the_carrier(sk0_0))),sk0_0))=X0),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f589,plain,(
% 48.74/6.53 ![X0,X1]: (pd0_0(sk0_12(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_11(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_10(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_8(powerset(the_carrier(sk0_0))),sk0_0)|~in(X0,sk0_13(X1,sk0_8(powerset(the_carrier(sk0_0))),sk0_0))|ordered_pair(sk0_15(X0,X1,sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_16(X0,X1,sk0_8(powerset(the_carrier(sk0_0))),sk0_0))=X0|empty(powerset(the_carrier(sk0_0))))),
% 48.74/6.53 inference(resolution,[status(thm)],[f524,f109])).
% 48.74/6.53 fof(f590,plain,(
% 48.74/6.53 spl0_9|spl0_17|spl0_11),
% 48.74/6.53 inference(split_clause,[status(thm)],[f589,f535,f586,f541])).
% 48.74/6.53 fof(f591,plain,(
% 48.74/6.53 spl0_18 <=> ~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0))|ordered_pair(sk0_15(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0),sk0_16(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0))=X0),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f596,plain,(
% 48.74/6.53 ![X0,X1,X2]: (pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),X0),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),X0),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),X0),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),X0),sk0_0)|~in(X1,sk0_13(X2,subset_complement(powerset(the_carrier(sk0_0)),X0),sk0_0))|ordered_pair(sk0_15(X1,X2,subset_complement(powerset(the_carrier(sk0_0)),X0),sk0_0),sk0_16(X1,X2,subset_complement(powerset(the_carrier(sk0_0)),X0),sk0_0))=X1|~element(X0,powerset(powerset(the_carrier(sk0_0)))))),
% 48.74/6.53 inference(resolution,[status(thm)],[f524,f121])).
% 48.74/6.53 fof(f597,plain,(
% 48.74/6.53 spl0_19 <=> ~in(X0,sk0_13(X1,sk0_1,sk0_0))|ordered_pair(sk0_15(X0,X1,sk0_1,sk0_0),sk0_16(X0,X1,sk0_1,sk0_0))=X0),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f598,plain,(
% 48.74/6.53 ![X0,X1]: (~in(X0,sk0_13(X1,sk0_1,sk0_0))|ordered_pair(sk0_15(X0,X1,sk0_1,sk0_0),sk0_16(X0,X1,sk0_1,sk0_0))=X0|~spl0_19)),
% 48.74/6.53 inference(component_clause,[status(thm)],[f597])).
% 48.74/6.53 fof(f600,plain,(
% 48.74/6.53 ![X0,X1]: (pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(sk0_1,sk0_0),sk0_10(sk0_1,sk0_0),sk0_1,sk0_0)|~in(X0,sk0_13(X1,sk0_1,sk0_0))|ordered_pair(sk0_15(X0,X1,sk0_1,sk0_0),sk0_16(X0,X1,sk0_1,sk0_0))=X0)),
% 48.74/6.53 inference(resolution,[status(thm)],[f524,f38])).
% 48.74/6.53 fof(f601,plain,(
% 48.74/6.53 spl0_14|spl0_19),
% 48.74/6.53 inference(split_clause,[status(thm)],[f600,f555,f597])).
% 48.74/6.53 fof(f604,plain,(
% 48.74/6.53 sk0_10(sk0_1,sk0_0)=sk0_12(sk0_1,sk0_0)|~spl0_14),
% 48.74/6.53 inference(resolution,[status(thm)],[f556,f146])).
% 48.74/6.53 fof(f605,plain,(
% 48.74/6.53 sk0_10(sk0_1,sk0_0)=sk0_11(sk0_1,sk0_0)|~spl0_14),
% 48.74/6.53 inference(resolution,[status(thm)],[f556,f142])).
% 48.74/6.53 fof(f606,plain,(
% 48.74/6.53 pd0_0(sk0_10(sk0_1,sk0_0),sk0_11(sk0_1,sk0_0),sk0_10(sk0_1,sk0_0),sk0_1,sk0_0)|~spl0_14),
% 48.74/6.53 inference(backward_demodulation,[status(thm)],[f604,f556])).
% 48.74/6.53 fof(f607,plain,(
% 48.74/6.53 pd0_0(sk0_10(sk0_1,sk0_0),sk0_10(sk0_1,sk0_0),sk0_10(sk0_1,sk0_0),sk0_1,sk0_0)|~spl0_14),
% 48.74/6.53 inference(forward_demodulation,[status(thm)],[f605,f606])).
% 48.74/6.53 fof(f608,plain,(
% 48.74/6.53 $false|~spl0_14),
% 48.74/6.53 inference(forward_subsumption_resolution,[status(thm)],[f607,f158])).
% 48.74/6.53 fof(f609,plain,(
% 48.74/6.53 ~spl0_14),
% 48.74/6.53 inference(contradiction_clause,[status(thm)],[f608])).
% 48.74/6.53 fof(f611,plain,(
% 48.74/6.53 ![X0]: (sk0_14(sk0_3(sk0_13(X0,sk0_1,sk0_0)),X0,sk0_1,sk0_0)=sk0_3(sk0_13(X0,sk0_1,sk0_0))|ordered_pair(sk0_4(sk0_13(X0,sk0_1,sk0_0)),sk0_5(sk0_13(X0,sk0_1,sk0_0)))=sk0_3(sk0_13(X0,sk0_1,sk0_0))|~spl0_15)),
% 48.74/6.53 inference(resolution,[status(thm)],[f559,f40])).
% 48.74/6.53 fof(f614,plain,(
% 48.74/6.53 ![X0,X1,X2,X3]: (~one_sorted_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(X1,X0),sk0_11(X1,X0),sk0_10(X1,X0),X1,X0)|in(ordered_pair(sk0_4(sk0_13(X2,sk0_1,sk0_0)),sk0_5(sk0_13(X2,sk0_1,sk0_0))),sk0_13(X3,X1,X0))|~in(sk0_3(sk0_13(X2,sk0_1,sk0_0)),cartesian_product2(X1,X3))|~in(sk0_4(sk0_13(X2,sk0_1,sk0_0)),X1)|element(sk0_17(sk0_5(sk0_13(X2,sk0_1,sk0_0)),sk0_4(sk0_13(X2,sk0_1,sk0_0)),ordered_pair(sk0_4(sk0_13(X2,sk0_1,sk0_0)),sk0_5(sk0_13(X2,sk0_1,sk0_0))),X3,X1,X0),powerset(the_carrier(X0)))|sk0_14(sk0_3(sk0_13(X2,sk0_1,sk0_0)),X2,sk0_1,sk0_0)=sk0_3(sk0_13(X2,sk0_1,sk0_0))|~spl0_15)),
% 48.74/6.53 inference(paramodulation,[status(thm)],[f611,f153])).
% 48.74/6.53 fof(f688,plain,(
% 48.74/6.53 spl0_20 <=> ~in(X0,sk0_13(X1,sk0_9(powerset(the_carrier(sk0_0))),sk0_0))|in(sk0_15(X0,X1,sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_9(powerset(the_carrier(sk0_0))))),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f691,plain,(
% 48.74/6.53 ![X0,X1]: (pd0_0(sk0_12(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_11(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_10(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_9(powerset(the_carrier(sk0_0))),sk0_0)|~in(X0,sk0_13(X1,sk0_9(powerset(the_carrier(sk0_0))),sk0_0))|in(sk0_15(X0,X1,sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_9(powerset(the_carrier(sk0_0)))))),
% 48.74/6.53 inference(resolution,[status(thm)],[f525,f114])).
% 48.74/6.53 fof(f692,plain,(
% 48.74/6.53 spl0_7|spl0_20),
% 48.74/6.53 inference(split_clause,[status(thm)],[f691,f527,f688])).
% 48.74/6.53 fof(f693,plain,(
% 48.74/6.53 spl0_21 <=> ~in(X0,sk0_13(X1,sk0_8(powerset(the_carrier(sk0_0))),sk0_0))|in(sk0_15(X0,X1,sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_8(powerset(the_carrier(sk0_0))))),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f696,plain,(
% 48.74/6.53 ![X0,X1]: (pd0_0(sk0_12(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_11(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_10(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_8(powerset(the_carrier(sk0_0))),sk0_0)|~in(X0,sk0_13(X1,sk0_8(powerset(the_carrier(sk0_0))),sk0_0))|in(sk0_15(X0,X1,sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_8(powerset(the_carrier(sk0_0))))|empty(powerset(the_carrier(sk0_0))))),
% 48.74/6.53 inference(resolution,[status(thm)],[f525,f109])).
% 48.74/6.53 fof(f697,plain,(
% 48.74/6.53 spl0_9|spl0_21|spl0_11),
% 48.74/6.53 inference(split_clause,[status(thm)],[f696,f535,f693,f541])).
% 48.74/6.53 fof(f698,plain,(
% 48.74/6.53 spl0_22 <=> ~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0))|in(sk0_15(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),sk0_1))),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f703,plain,(
% 48.74/6.53 ![X0,X1,X2]: (pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),X0),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),X0),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),X0),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),X0),sk0_0)|~in(X1,sk0_13(X2,subset_complement(powerset(the_carrier(sk0_0)),X0),sk0_0))|in(sk0_15(X1,X2,subset_complement(powerset(the_carrier(sk0_0)),X0),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),X0))|~element(X0,powerset(powerset(the_carrier(sk0_0)))))),
% 48.74/6.53 inference(resolution,[status(thm)],[f525,f121])).
% 48.74/6.53 fof(f704,plain,(
% 48.74/6.53 spl0_23 <=> ~in(X0,sk0_13(X1,sk0_1,sk0_0))|in(sk0_15(X0,X1,sk0_1,sk0_0),sk0_1)),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f705,plain,(
% 48.74/6.53 ![X0,X1]: (~in(X0,sk0_13(X1,sk0_1,sk0_0))|in(sk0_15(X0,X1,sk0_1,sk0_0),sk0_1)|~spl0_23)),
% 48.74/6.53 inference(component_clause,[status(thm)],[f704])).
% 48.74/6.53 fof(f707,plain,(
% 48.74/6.53 ![X0,X1]: (pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(sk0_1,sk0_0),sk0_10(sk0_1,sk0_0),sk0_1,sk0_0)|~in(X0,sk0_13(X1,sk0_1,sk0_0))|in(sk0_15(X0,X1,sk0_1,sk0_0),sk0_1))),
% 48.74/6.53 inference(resolution,[status(thm)],[f525,f38])).
% 48.74/6.53 fof(f708,plain,(
% 48.74/6.53 spl0_14|spl0_23),
% 48.74/6.53 inference(split_clause,[status(thm)],[f707,f555,f704])).
% 48.74/6.53 fof(f713,plain,(
% 48.74/6.53 spl0_24 <=> pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0)),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f714,plain,(
% 48.74/6.53 pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0)|~spl0_24),
% 48.74/6.53 inference(component_clause,[status(thm)],[f713])).
% 48.74/6.53 fof(f716,plain,(
% 48.74/6.53 spl0_25 <=> ~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0))|sk0_14(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0)=X0),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f719,plain,(
% 48.74/6.53 ![X0,X1]: (pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0)|~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0))|sk0_14(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0)=X0|~element(subset_complement(powerset(the_carrier(sk0_0)),sk0_1),powerset(powerset(the_carrier(sk0_0)))))),
% 48.74/6.53 inference(paramodulation,[status(thm)],[f194,f554])).
% 48.74/6.53 fof(f720,plain,(
% 48.74/6.53 spl0_24|spl0_25|~spl0_5),
% 48.74/6.53 inference(split_clause,[status(thm)],[f719,f713,f716,f196])).
% 48.74/6.53 fof(f724,plain,(
% 48.74/6.53 spl0_27 <=> ~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0))|sk0_14(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0)=X0),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f727,plain,(
% 48.74/6.53 spl0_28 <=> element(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),powerset(powerset(the_carrier(sk0_0))))),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f728,plain,(
% 48.74/6.53 element(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),powerset(powerset(the_carrier(sk0_0))))|~spl0_28),
% 48.74/6.53 inference(component_clause,[status(thm)],[f727])).
% 48.74/6.53 fof(f729,plain,(
% 48.74/6.53 ~element(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),powerset(powerset(the_carrier(sk0_0))))|spl0_28),
% 48.74/6.53 inference(component_clause,[status(thm)],[f727])).
% 48.74/6.53 fof(f732,plain,(
% 48.74/6.53 spl0_29 <=> pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),sk0_11(sk0_1,sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0)),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f733,plain,(
% 48.74/6.53 pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),sk0_11(sk0_1,sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0)|~spl0_29),
% 48.74/6.53 inference(component_clause,[status(thm)],[f732])).
% 48.74/6.53 fof(f737,plain,(
% 48.74/6.53 spl0_30 <=> pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0),sk0_11(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0)),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f738,plain,(
% 48.74/6.53 pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0),sk0_11(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0)|~spl0_30),
% 48.74/6.53 inference(component_clause,[status(thm)],[f737])).
% 48.74/6.53 fof(f740,plain,(
% 48.74/6.53 ![X0,X1]: (pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0),sk0_11(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0)|~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0))|sk0_14(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0)=X0|~element(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),powerset(powerset(the_carrier(sk0_0)))))),
% 48.74/6.53 inference(paramodulation,[status(thm)],[f520,f554])).
% 48.74/6.53 fof(f741,plain,(
% 48.74/6.53 spl0_30|spl0_27|~spl0_28),
% 48.74/6.53 inference(split_clause,[status(thm)],[f740,f737,f724,f727])).
% 48.74/6.53 fof(f742,plain,(
% 48.74/6.53 spl0_31 <=> pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),sk0_10(sk0_1,sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0)),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f743,plain,(
% 48.74/6.53 pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),sk0_10(sk0_1,sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0)|~spl0_31),
% 48.74/6.53 inference(component_clause,[status(thm)],[f742])).
% 48.74/6.53 fof(f752,plain,(
% 48.74/6.53 spl0_33 <=> pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),sk0_1,sk0_0)),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f753,plain,(
% 48.74/6.53 pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),sk0_1,sk0_0)|~spl0_33),
% 48.74/6.53 inference(component_clause,[status(thm)],[f752])).
% 48.74/6.53 fof(f763,plain,(
% 48.74/6.53 ~element(sk0_9(powerset(the_carrier(sk0_0))),powerset(powerset(the_carrier(sk0_0))))|spl0_28),
% 48.74/6.53 inference(resolution,[status(thm)],[f729,f121])).
% 48.74/6.53 fof(f764,plain,(
% 48.74/6.53 $false|spl0_28),
% 48.74/6.53 inference(forward_subsumption_resolution,[status(thm)],[f763,f114])).
% 48.74/6.53 fof(f765,plain,(
% 48.74/6.53 spl0_28),
% 48.74/6.53 inference(contradiction_clause,[status(thm)],[f764])).
% 48.74/6.53 fof(f767,plain,(
% 48.74/6.53 spl0_35 <=> pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0)),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f768,plain,(
% 48.74/6.53 pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0)|~spl0_35),
% 48.74/6.53 inference(component_clause,[status(thm)],[f767])).
% 48.74/6.53 fof(f770,plain,(
% 48.74/6.53 spl0_36 <=> ~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0))|in(sk0_15(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))))),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f773,plain,(
% 48.74/6.53 ![X0,X1]: (pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0)|~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0))|in(sk0_15(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))))|~spl0_28)),
% 48.74/6.53 inference(resolution,[status(thm)],[f728,f525])).
% 48.74/6.53 fof(f774,plain,(
% 48.74/6.53 spl0_35|spl0_36|~spl0_28),
% 48.74/6.53 inference(split_clause,[status(thm)],[f773,f767,f770,f727])).
% 48.74/6.53 fof(f775,plain,(
% 48.74/6.53 spl0_37 <=> ~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0))|ordered_pair(sk0_15(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0),sk0_16(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0))=X0),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f778,plain,(
% 48.74/6.53 ![X0,X1]: (pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0)|~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0))|ordered_pair(sk0_15(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0),sk0_16(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0))=X0|~spl0_28)),
% 48.74/6.53 inference(resolution,[status(thm)],[f728,f524])).
% 48.74/6.53 fof(f779,plain,(
% 48.74/6.53 spl0_35|spl0_37|~spl0_28),
% 48.74/6.53 inference(split_clause,[status(thm)],[f778,f767,f775,f727])).
% 48.74/6.53 fof(f780,plain,(
% 48.74/6.53 spl0_38 <=> ~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0))|sk0_14(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0)=X0),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f783,plain,(
% 48.74/6.53 ![X0,X1]: (pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0)|~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0))|sk0_14(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0)=X0|~spl0_28)),
% 48.74/6.53 inference(resolution,[status(thm)],[f728,f523])).
% 48.74/6.53 fof(f784,plain,(
% 48.74/6.53 spl0_35|spl0_38|~spl0_28),
% 48.74/6.53 inference(split_clause,[status(thm)],[f783,f767,f780,f727])).
% 48.74/6.53 fof(f839,plain,(
% 48.74/6.53 sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0)=sk0_12(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0)|~spl0_35),
% 48.74/6.53 inference(resolution,[status(thm)],[f768,f146])).
% 48.74/6.53 fof(f840,plain,(
% 48.74/6.53 sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0)=sk0_11(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0)|~spl0_35),
% 48.74/6.53 inference(resolution,[status(thm)],[f768,f142])).
% 48.74/6.53 fof(f841,plain,(
% 48.74/6.53 pd0_0(sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0)|~spl0_35),
% 48.74/6.53 inference(backward_demodulation,[status(thm)],[f839,f768])).
% 48.74/6.53 fof(f842,plain,(
% 48.74/6.53 pd0_0(sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),sk0_0)|~spl0_35),
% 48.74/6.53 inference(forward_demodulation,[status(thm)],[f840,f841])).
% 48.74/6.53 fof(f843,plain,(
% 48.74/6.53 $false|~spl0_35),
% 48.74/6.53 inference(forward_subsumption_resolution,[status(thm)],[f842,f158])).
% 48.74/6.53 fof(f844,plain,(
% 48.74/6.53 ~spl0_35),
% 48.74/6.53 inference(contradiction_clause,[status(thm)],[f843])).
% 48.74/6.53 fof(f845,plain,(
% 48.74/6.53 spl0_39 <=> element(sk0_9(powerset(the_carrier(sk0_0))),powerset(powerset(the_carrier(sk0_0))))),
% 48.74/6.53 introduced(split_symbol_definition)).
% 48.74/6.53 fof(f847,plain,(
% 48.74/6.53 ~element(sk0_9(powerset(the_carrier(sk0_0))),powerset(powerset(the_carrier(sk0_0))))|spl0_39),
% 48.74/6.53 inference(component_clause,[status(thm)],[f845])).
% 48.74/6.53 fof(f935,plain,(
% 48.74/6.53 spl0_40 <=> ~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0))|ordered_pair(sk0_15(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),sk0_16(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0))=X0),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f938,plain,(
% 48.93/6.53 ![X0,X1]: (pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0)|~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0))|ordered_pair(sk0_15(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),sk0_16(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0))=X0|~element(subset_complement(powerset(the_carrier(sk0_0)),sk0_1),powerset(powerset(the_carrier(sk0_0)))))),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f194,f596])).
% 48.93/6.53 fof(f939,plain,(
% 48.93/6.53 spl0_24|spl0_40|~spl0_5),
% 48.93/6.53 inference(split_clause,[status(thm)],[f938,f713,f935,f196])).
% 48.93/6.53 fof(f940,plain,(
% 48.93/6.53 spl0_41 <=> ~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0))|ordered_pair(sk0_15(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0),sk0_16(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0))=X0),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f947,plain,(
% 48.93/6.53 ![X0,X1]: (pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0),sk0_11(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0)|~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0))|ordered_pair(sk0_15(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0),sk0_16(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0))=X0|~element(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),powerset(powerset(the_carrier(sk0_0)))))),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f520,f596])).
% 48.93/6.53 fof(f948,plain,(
% 48.93/6.53 spl0_30|spl0_41|~spl0_28),
% 48.93/6.53 inference(split_clause,[status(thm)],[f947,f737,f940,f727])).
% 48.93/6.53 fof(f1082,plain,(
% 48.93/6.53 sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0)=sk0_12(subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0)|~spl0_12),
% 48.93/6.53 inference(resolution,[status(thm)],[f547,f146])).
% 48.93/6.53 fof(f1083,plain,(
% 48.93/6.53 sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0)=sk0_11(subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0)|~spl0_12),
% 48.93/6.53 inference(resolution,[status(thm)],[f547,f142])).
% 48.93/6.53 fof(f1084,plain,(
% 48.93/6.53 pd0_0(sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0)|~spl0_12),
% 48.93/6.53 inference(backward_demodulation,[status(thm)],[f1082,f547])).
% 48.93/6.53 fof(f1085,plain,(
% 48.93/6.53 pd0_0(sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0)|~spl0_12),
% 48.93/6.53 inference(forward_demodulation,[status(thm)],[f1083,f1084])).
% 48.93/6.53 fof(f1086,plain,(
% 48.93/6.53 $false|~spl0_12),
% 48.93/6.53 inference(forward_subsumption_resolution,[status(thm)],[f1085,f158])).
% 48.93/6.53 fof(f1087,plain,(
% 48.93/6.53 ~spl0_12),
% 48.93/6.53 inference(contradiction_clause,[status(thm)],[f1086])).
% 48.93/6.53 fof(f1134,plain,(
% 48.93/6.53 spl0_42 <=> ~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0))|in(sk0_15(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f1137,plain,(
% 48.93/6.53 ![X0,X1]: (pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0)|~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0))|in(sk0_15(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)))|~element(subset_complement(powerset(the_carrier(sk0_0)),sk0_1),powerset(powerset(the_carrier(sk0_0)))))),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f194,f703])).
% 48.93/6.53 fof(f1138,plain,(
% 48.93/6.53 spl0_24|spl0_42|~spl0_5),
% 48.93/6.53 inference(split_clause,[status(thm)],[f1137,f713,f1134,f196])).
% 48.93/6.53 fof(f1139,plain,(
% 48.93/6.53 spl0_43 <=> ~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0))|in(sk0_15(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f1146,plain,(
% 48.93/6.53 ![X0,X1]: (pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0),sk0_11(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0)|~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0))|in(sk0_15(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))))|~element(subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0)))),powerset(powerset(the_carrier(sk0_0)))))),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f520,f703])).
% 48.93/6.53 fof(f1147,plain,(
% 48.93/6.53 spl0_30|spl0_43|~spl0_28),
% 48.93/6.53 inference(split_clause,[status(thm)],[f1146,f737,f1139,f727])).
% 48.93/6.53 fof(f1165,plain,(
% 48.93/6.53 spl0_45 <=> ~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0))|sk0_14(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0)=X0),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f1241,plain,(
% 48.93/6.53 ![X0]: (subset_complement(sk0_8(X0),subset_complement(sk0_8(X0),sk0_8(sk0_8(X0))))=sk0_8(sk0_8(X0))|empty(X0))),
% 48.93/6.53 inference(resolution,[status(thm)],[f463,f110])).
% 48.93/6.53 fof(f1242,plain,(
% 48.93/6.53 ![X0]: (subset_complement(powerset(X0),subset_complement(powerset(X0),sk0_8(powerset(X0))))=sk0_8(powerset(X0)))),
% 48.93/6.53 inference(resolution,[status(thm)],[f463,f125])).
% 48.93/6.53 fof(f1243,plain,(
% 48.93/6.53 subset_complement(sk0_7,subset_complement(sk0_7,sk0_8(sk0_7)))=sk0_8(sk0_7)),
% 48.93/6.53 inference(resolution,[status(thm)],[f463,f55])).
% 48.93/6.53 fof(f1244,plain,(
% 48.93/6.53 ![X0,X1]: (subset_complement(cartesian_product2(X0,X1),subset_complement(cartesian_product2(X0,X1),sk0_8(cartesian_product2(X0,X1))))=sk0_8(cartesian_product2(X0,X1))|empty(X0)|empty(X1))),
% 48.93/6.53 inference(resolution,[status(thm)],[f463,f112])).
% 48.93/6.53 fof(f1250,plain,(
% 48.93/6.53 spl0_60 <=> element(subset_complement(sk0_7,sk0_8(sk0_7)),powerset(sk0_7))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f1252,plain,(
% 48.93/6.53 ~element(subset_complement(sk0_7,sk0_8(sk0_7)),powerset(sk0_7))|spl0_60),
% 48.93/6.53 inference(component_clause,[status(thm)],[f1250])).
% 48.93/6.53 fof(f1253,plain,(
% 48.93/6.53 spl0_61 <=> element(sk0_8(sk0_7),powerset(sk0_7))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f1256,plain,(
% 48.93/6.53 ~element(subset_complement(sk0_7,sk0_8(sk0_7)),powerset(sk0_7))|element(sk0_8(sk0_7),powerset(sk0_7))),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f1243,f121])).
% 48.93/6.53 fof(f1257,plain,(
% 48.93/6.53 ~spl0_60|spl0_61),
% 48.93/6.53 inference(split_clause,[status(thm)],[f1256,f1250,f1253])).
% 48.93/6.53 fof(f1258,plain,(
% 48.93/6.53 ~element(sk0_8(sk0_7),powerset(sk0_7))|spl0_60),
% 48.93/6.53 inference(resolution,[status(thm)],[f1252,f121])).
% 48.93/6.53 fof(f1259,plain,(
% 48.93/6.53 empty(sk0_7)|spl0_60),
% 48.93/6.53 inference(resolution,[status(thm)],[f1258,f109])).
% 48.93/6.53 fof(f1260,plain,(
% 48.93/6.53 $false|spl0_60),
% 48.93/6.53 inference(forward_subsumption_resolution,[status(thm)],[f1259,f55])).
% 48.93/6.53 fof(f1261,plain,(
% 48.93/6.53 spl0_60),
% 48.93/6.53 inference(contradiction_clause,[status(thm)],[f1260])).
% 48.93/6.53 fof(f1369,plain,(
% 48.93/6.53 spl0_63 <=> ~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0))|in(sk0_15(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f1372,plain,(
% 48.93/6.53 spl0_64 <=> element(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),powerset(powerset(the_carrier(sk0_0))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f1373,plain,(
% 48.93/6.53 element(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),powerset(powerset(the_carrier(sk0_0))))|~spl0_64),
% 48.93/6.53 inference(component_clause,[status(thm)],[f1372])).
% 48.93/6.53 fof(f1374,plain,(
% 48.93/6.53 ~element(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),powerset(powerset(the_carrier(sk0_0))))|spl0_64),
% 48.93/6.53 inference(component_clause,[status(thm)],[f1372])).
% 48.93/6.53 fof(f1377,plain,(
% 48.93/6.53 spl0_65 <=> pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0),sk0_10(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0)),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f1378,plain,(
% 48.93/6.53 pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0),sk0_10(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0)|~spl0_65),
% 48.93/6.53 inference(component_clause,[status(thm)],[f1377])).
% 48.93/6.53 fof(f1380,plain,(
% 48.93/6.53 ![X0,X1]: (pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0),sk0_10(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0)|~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0))|in(sk0_15(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))))|~element(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),powerset(powerset(the_carrier(sk0_0)))))),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f1242,f703])).
% 48.93/6.53 fof(f1381,plain,(
% 48.93/6.53 spl0_65|spl0_63|~spl0_64),
% 48.93/6.53 inference(split_clause,[status(thm)],[f1380,f1377,f1369,f1372])).
% 48.93/6.53 fof(f1392,plain,(
% 48.93/6.53 spl0_68 <=> ~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0))|ordered_pair(sk0_15(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0),sk0_16(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0))=X0),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f1397,plain,(
% 48.93/6.53 ![X0,X1]: (pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0),sk0_10(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0)|~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0))|ordered_pair(sk0_15(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0),sk0_16(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0))=X0|~element(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),powerset(powerset(the_carrier(sk0_0)))))),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f1242,f596])).
% 48.93/6.53 fof(f1398,plain,(
% 48.93/6.53 spl0_65|spl0_68|~spl0_64),
% 48.93/6.53 inference(split_clause,[status(thm)],[f1397,f1377,f1392,f1372])).
% 48.93/6.53 fof(f1403,plain,(
% 48.93/6.53 spl0_69 <=> ~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0))|sk0_14(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0)=X0),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f1408,plain,(
% 48.93/6.53 ![X0,X1]: (pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0),sk0_10(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0)|~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0))|sk0_14(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0)=X0|~element(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),powerset(powerset(the_carrier(sk0_0)))))),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f1242,f554])).
% 48.93/6.53 fof(f1409,plain,(
% 48.93/6.53 spl0_65|spl0_69|~spl0_64),
% 48.93/6.53 inference(split_clause,[status(thm)],[f1408,f1377,f1403,f1372])).
% 48.93/6.53 fof(f1415,plain,(
% 48.93/6.53 $false|spl0_39),
% 48.93/6.53 inference(forward_subsumption_resolution,[status(thm)],[f847,f114])).
% 48.93/6.53 fof(f1416,plain,(
% 48.93/6.53 spl0_39),
% 48.93/6.53 inference(contradiction_clause,[status(thm)],[f1415])).
% 48.93/6.53 fof(f1417,plain,(
% 48.93/6.53 ~element(sk0_8(powerset(the_carrier(sk0_0))),powerset(powerset(the_carrier(sk0_0))))|spl0_64),
% 48.93/6.53 inference(resolution,[status(thm)],[f1374,f121])).
% 48.93/6.53 fof(f1418,plain,(
% 48.93/6.53 empty(powerset(the_carrier(sk0_0)))|spl0_64),
% 48.93/6.53 inference(resolution,[status(thm)],[f1417,f109])).
% 48.93/6.53 fof(f1419,plain,(
% 48.93/6.53 spl0_11|spl0_64),
% 48.93/6.53 inference(split_clause,[status(thm)],[f1418,f541,f1372])).
% 48.93/6.53 fof(f1440,plain,(
% 48.93/6.53 spl0_73 <=> pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0)),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f1441,plain,(
% 48.93/6.53 pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0)|~spl0_73),
% 48.93/6.53 inference(component_clause,[status(thm)],[f1440])).
% 48.93/6.53 fof(f1443,plain,(
% 48.93/6.53 spl0_74 <=> ~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0))|in(sk0_15(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f1446,plain,(
% 48.93/6.53 ![X0,X1]: (pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0)|~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0))|in(sk0_15(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))))|~spl0_64)),
% 48.93/6.53 inference(resolution,[status(thm)],[f1373,f525])).
% 48.93/6.53 fof(f1447,plain,(
% 48.93/6.53 spl0_73|spl0_74|~spl0_64),
% 48.93/6.53 inference(split_clause,[status(thm)],[f1446,f1440,f1443,f1372])).
% 48.93/6.53 fof(f1448,plain,(
% 48.93/6.53 spl0_75 <=> ~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0))|ordered_pair(sk0_15(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0),sk0_16(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0))=X0),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f1451,plain,(
% 48.93/6.53 ![X0,X1]: (pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0)|~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0))|ordered_pair(sk0_15(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0),sk0_16(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0))=X0|~spl0_64)),
% 48.93/6.53 inference(resolution,[status(thm)],[f1373,f524])).
% 48.93/6.53 fof(f1452,plain,(
% 48.93/6.53 spl0_73|spl0_75|~spl0_64),
% 48.93/6.53 inference(split_clause,[status(thm)],[f1451,f1440,f1448,f1372])).
% 48.93/6.53 fof(f1453,plain,(
% 48.93/6.53 ![X0,X1]: (pd0_0(sk0_12(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0)|~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0))|sk0_14(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0)=X0|~spl0_64)),
% 48.93/6.53 inference(resolution,[status(thm)],[f1373,f523])).
% 48.93/6.53 fof(f1454,plain,(
% 48.93/6.53 spl0_73|spl0_45|~spl0_64),
% 48.93/6.53 inference(split_clause,[status(thm)],[f1453,f1440,f1165,f1372])).
% 48.93/6.53 fof(f1509,plain,(
% 48.93/6.53 sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0)=sk0_12(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0)|~spl0_73),
% 48.93/6.53 inference(resolution,[status(thm)],[f1441,f146])).
% 48.93/6.53 fof(f1510,plain,(
% 48.93/6.53 sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0)=sk0_11(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0)|~spl0_73),
% 48.93/6.53 inference(resolution,[status(thm)],[f1441,f142])).
% 48.93/6.53 fof(f1511,plain,(
% 48.93/6.53 pd0_0(sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0)|~spl0_73),
% 48.93/6.53 inference(backward_demodulation,[status(thm)],[f1509,f1441])).
% 48.93/6.53 fof(f1512,plain,(
% 48.93/6.53 pd0_0(sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0)))),sk0_0)|~spl0_73),
% 48.93/6.53 inference(forward_demodulation,[status(thm)],[f1510,f1511])).
% 48.93/6.53 fof(f1513,plain,(
% 48.93/6.53 $false|~spl0_73),
% 48.93/6.53 inference(forward_subsumption_resolution,[status(thm)],[f1512,f158])).
% 48.93/6.53 fof(f1514,plain,(
% 48.93/6.53 ~spl0_73),
% 48.93/6.53 inference(contradiction_clause,[status(thm)],[f1513])).
% 48.93/6.53 fof(f1515,plain,(
% 48.93/6.53 spl0_76 <=> element(sk0_8(powerset(the_carrier(sk0_0))),powerset(powerset(the_carrier(sk0_0))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f1517,plain,(
% 48.93/6.53 ~element(sk0_8(powerset(the_carrier(sk0_0))),powerset(powerset(the_carrier(sk0_0))))|spl0_76),
% 48.93/6.53 inference(component_clause,[status(thm)],[f1515])).
% 48.93/6.53 fof(f1533,plain,(
% 48.93/6.53 ![X0]: (subset_complement(sk0_8(sk0_8(X0)),subset_complement(sk0_8(sk0_8(X0)),sk0_8(sk0_8(sk0_8(X0)))))=sk0_8(sk0_8(sk0_8(X0)))|empty(X0))),
% 48.93/6.53 inference(resolution,[status(thm)],[f1241,f110])).
% 48.93/6.53 fof(f1535,plain,(
% 48.93/6.53 subset_complement(sk0_8(sk0_7),subset_complement(sk0_8(sk0_7),sk0_8(sk0_8(sk0_7))))=sk0_8(sk0_8(sk0_7))),
% 48.93/6.53 inference(resolution,[status(thm)],[f1241,f55])).
% 48.93/6.53 fof(f1542,plain,(
% 48.93/6.53 spl0_77 <=> element(subset_complement(sk0_8(sk0_7),sk0_8(sk0_8(sk0_7))),powerset(sk0_8(sk0_7)))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f1544,plain,(
% 48.93/6.53 ~element(subset_complement(sk0_8(sk0_7),sk0_8(sk0_8(sk0_7))),powerset(sk0_8(sk0_7)))|spl0_77),
% 48.93/6.53 inference(component_clause,[status(thm)],[f1542])).
% 48.93/6.53 fof(f1545,plain,(
% 48.93/6.53 spl0_78 <=> element(sk0_8(sk0_8(sk0_7)),powerset(sk0_8(sk0_7)))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f1548,plain,(
% 48.93/6.53 ~element(subset_complement(sk0_8(sk0_7),sk0_8(sk0_8(sk0_7))),powerset(sk0_8(sk0_7)))|element(sk0_8(sk0_8(sk0_7)),powerset(sk0_8(sk0_7)))),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f1535,f121])).
% 48.93/6.53 fof(f1549,plain,(
% 48.93/6.53 ~spl0_77|spl0_78),
% 48.93/6.53 inference(split_clause,[status(thm)],[f1548,f1542,f1545])).
% 48.93/6.53 fof(f1550,plain,(
% 48.93/6.53 ~element(sk0_8(sk0_8(sk0_7)),powerset(sk0_8(sk0_7)))|spl0_77),
% 48.93/6.53 inference(resolution,[status(thm)],[f1544,f121])).
% 48.93/6.53 fof(f1551,plain,(
% 48.93/6.53 empty(sk0_8(sk0_7))|spl0_77),
% 48.93/6.53 inference(resolution,[status(thm)],[f1550,f109])).
% 48.93/6.53 fof(f1552,plain,(
% 48.93/6.53 empty(sk0_7)|spl0_77),
% 48.93/6.53 inference(resolution,[status(thm)],[f1551,f110])).
% 48.93/6.53 fof(f1553,plain,(
% 48.93/6.53 $false|spl0_77),
% 48.93/6.53 inference(forward_subsumption_resolution,[status(thm)],[f1552,f55])).
% 48.93/6.53 fof(f1554,plain,(
% 48.93/6.53 spl0_77),
% 48.93/6.53 inference(contradiction_clause,[status(thm)],[f1553])).
% 48.93/6.53 fof(f1659,plain,(
% 48.93/6.53 ![X0]: (subset_complement(sk0_8(sk0_8(sk0_8(X0))),subset_complement(sk0_8(sk0_8(sk0_8(X0))),sk0_8(sk0_8(sk0_8(sk0_8(X0))))))=sk0_8(sk0_8(sk0_8(sk0_8(X0))))|empty(X0))),
% 48.93/6.53 inference(resolution,[status(thm)],[f1533,f110])).
% 48.93/6.53 fof(f1661,plain,(
% 48.93/6.53 subset_complement(sk0_8(sk0_8(sk0_7)),subset_complement(sk0_8(sk0_8(sk0_7)),sk0_8(sk0_8(sk0_8(sk0_7)))))=sk0_8(sk0_8(sk0_8(sk0_7)))),
% 48.93/6.53 inference(resolution,[status(thm)],[f1533,f55])).
% 48.93/6.53 fof(f1662,plain,(
% 48.93/6.53 ![X0,X1]: (subset_complement(sk0_8(sk0_8(cartesian_product2(X0,X1))),subset_complement(sk0_8(sk0_8(cartesian_product2(X0,X1))),sk0_8(sk0_8(sk0_8(cartesian_product2(X0,X1))))))=sk0_8(sk0_8(sk0_8(cartesian_product2(X0,X1))))|empty(X0)|empty(X1))),
% 48.93/6.53 inference(resolution,[status(thm)],[f1533,f112])).
% 48.93/6.53 fof(f1668,plain,(
% 48.93/6.53 spl0_79 <=> element(subset_complement(sk0_8(sk0_8(sk0_7)),sk0_8(sk0_8(sk0_8(sk0_7)))),powerset(sk0_8(sk0_8(sk0_7))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f1670,plain,(
% 48.93/6.53 ~element(subset_complement(sk0_8(sk0_8(sk0_7)),sk0_8(sk0_8(sk0_8(sk0_7)))),powerset(sk0_8(sk0_8(sk0_7))))|spl0_79),
% 48.93/6.53 inference(component_clause,[status(thm)],[f1668])).
% 48.93/6.53 fof(f1671,plain,(
% 48.93/6.53 spl0_80 <=> element(sk0_8(sk0_8(sk0_8(sk0_7))),powerset(sk0_8(sk0_8(sk0_7))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f1674,plain,(
% 48.93/6.53 ~element(subset_complement(sk0_8(sk0_8(sk0_7)),sk0_8(sk0_8(sk0_8(sk0_7)))),powerset(sk0_8(sk0_8(sk0_7))))|element(sk0_8(sk0_8(sk0_8(sk0_7))),powerset(sk0_8(sk0_8(sk0_7))))),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f1661,f121])).
% 48.93/6.53 fof(f1675,plain,(
% 48.93/6.53 ~spl0_79|spl0_80),
% 48.93/6.53 inference(split_clause,[status(thm)],[f1674,f1668,f1671])).
% 48.93/6.53 fof(f1676,plain,(
% 48.93/6.53 ~element(sk0_8(sk0_8(sk0_8(sk0_7))),powerset(sk0_8(sk0_8(sk0_7))))|spl0_79),
% 48.93/6.53 inference(resolution,[status(thm)],[f1670,f121])).
% 48.93/6.53 fof(f1677,plain,(
% 48.93/6.53 empty(sk0_8(sk0_8(sk0_7)))|spl0_79),
% 48.93/6.53 inference(resolution,[status(thm)],[f1676,f109])).
% 48.93/6.53 fof(f1678,plain,(
% 48.93/6.53 empty(sk0_8(sk0_7))|spl0_79),
% 48.93/6.53 inference(resolution,[status(thm)],[f1677,f110])).
% 48.93/6.53 fof(f1684,plain,(
% 48.93/6.53 empty(sk0_7)|spl0_79),
% 48.93/6.53 inference(resolution,[status(thm)],[f1678,f110])).
% 48.93/6.53 fof(f1685,plain,(
% 48.93/6.53 $false|spl0_79),
% 48.93/6.53 inference(forward_subsumption_resolution,[status(thm)],[f1684,f55])).
% 48.93/6.53 fof(f1686,plain,(
% 48.93/6.53 spl0_79),
% 48.93/6.53 inference(contradiction_clause,[status(thm)],[f1685])).
% 48.93/6.53 fof(f1792,plain,(
% 48.93/6.53 ![X0,X1]: (subset_complement(cartesian_product2(X0,sk0_8(X1)),subset_complement(cartesian_product2(X0,sk0_8(X1)),sk0_8(cartesian_product2(X0,sk0_8(X1)))))=sk0_8(cartesian_product2(X0,sk0_8(X1)))|empty(X0)|empty(X1))),
% 48.93/6.53 inference(resolution,[status(thm)],[f1244,f110])).
% 48.93/6.53 fof(f1794,plain,(
% 48.93/6.53 ![X0]: (subset_complement(cartesian_product2(X0,sk0_7),subset_complement(cartesian_product2(X0,sk0_7),sk0_8(cartesian_product2(X0,sk0_7))))=sk0_8(cartesian_product2(X0,sk0_7))|empty(X0))),
% 48.93/6.53 inference(resolution,[status(thm)],[f1244,f55])).
% 48.93/6.53 fof(f1867,plain,(
% 48.93/6.53 ![X0]: (subset_complement(sk0_8(sk0_8(sk0_8(sk0_8(X0)))),subset_complement(sk0_8(sk0_8(sk0_8(sk0_8(X0)))),sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(X0)))))))=sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(X0)))))|empty(X0))),
% 48.93/6.53 inference(resolution,[status(thm)],[f1659,f110])).
% 48.93/6.53 fof(f1869,plain,(
% 48.93/6.53 subset_complement(sk0_8(sk0_8(sk0_8(sk0_7))),subset_complement(sk0_8(sk0_8(sk0_8(sk0_7))),sk0_8(sk0_8(sk0_8(sk0_8(sk0_7))))))=sk0_8(sk0_8(sk0_8(sk0_8(sk0_7))))),
% 48.93/6.53 inference(resolution,[status(thm)],[f1659,f55])).
% 48.93/6.53 fof(f1870,plain,(
% 48.93/6.53 ![X0,X1]: (subset_complement(sk0_8(sk0_8(sk0_8(cartesian_product2(X0,X1)))),subset_complement(sk0_8(sk0_8(sk0_8(cartesian_product2(X0,X1)))),sk0_8(sk0_8(sk0_8(sk0_8(cartesian_product2(X0,X1)))))))=sk0_8(sk0_8(sk0_8(sk0_8(cartesian_product2(X0,X1)))))|empty(X0)|empty(X1))),
% 48.93/6.53 inference(resolution,[status(thm)],[f1659,f112])).
% 48.93/6.53 fof(f1876,plain,(
% 48.93/6.53 spl0_87 <=> element(subset_complement(sk0_8(sk0_8(sk0_8(sk0_7))),sk0_8(sk0_8(sk0_8(sk0_8(sk0_7))))),powerset(sk0_8(sk0_8(sk0_8(sk0_7)))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f1878,plain,(
% 48.93/6.53 ~element(subset_complement(sk0_8(sk0_8(sk0_8(sk0_7))),sk0_8(sk0_8(sk0_8(sk0_8(sk0_7))))),powerset(sk0_8(sk0_8(sk0_8(sk0_7)))))|spl0_87),
% 48.93/6.53 inference(component_clause,[status(thm)],[f1876])).
% 48.93/6.53 fof(f1879,plain,(
% 48.93/6.53 spl0_88 <=> element(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7)))),powerset(sk0_8(sk0_8(sk0_8(sk0_7)))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f1882,plain,(
% 48.93/6.53 ~element(subset_complement(sk0_8(sk0_8(sk0_8(sk0_7))),sk0_8(sk0_8(sk0_8(sk0_8(sk0_7))))),powerset(sk0_8(sk0_8(sk0_8(sk0_7)))))|element(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7)))),powerset(sk0_8(sk0_8(sk0_8(sk0_7)))))),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f1869,f121])).
% 48.93/6.53 fof(f1883,plain,(
% 48.93/6.53 ~spl0_87|spl0_88),
% 48.93/6.53 inference(split_clause,[status(thm)],[f1882,f1876,f1879])).
% 48.93/6.53 fof(f1884,plain,(
% 48.93/6.53 ~element(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7)))),powerset(sk0_8(sk0_8(sk0_8(sk0_7)))))|spl0_87),
% 48.93/6.53 inference(resolution,[status(thm)],[f1878,f121])).
% 48.93/6.53 fof(f1885,plain,(
% 48.93/6.53 empty(sk0_8(sk0_8(sk0_8(sk0_7))))|spl0_87),
% 48.93/6.53 inference(resolution,[status(thm)],[f1884,f109])).
% 48.93/6.53 fof(f1886,plain,(
% 48.93/6.53 empty(sk0_8(sk0_8(sk0_7)))|spl0_87),
% 48.93/6.53 inference(resolution,[status(thm)],[f1885,f110])).
% 48.93/6.53 fof(f1892,plain,(
% 48.93/6.53 empty(sk0_8(sk0_7))|spl0_87),
% 48.93/6.53 inference(resolution,[status(thm)],[f1886,f110])).
% 48.93/6.53 fof(f1898,plain,(
% 48.93/6.53 empty(sk0_7)|spl0_87),
% 48.93/6.53 inference(resolution,[status(thm)],[f1892,f110])).
% 48.93/6.53 fof(f1899,plain,(
% 48.93/6.53 $false|spl0_87),
% 48.93/6.53 inference(forward_subsumption_resolution,[status(thm)],[f1898,f55])).
% 48.93/6.53 fof(f1900,plain,(
% 48.93/6.53 spl0_87),
% 48.93/6.53 inference(contradiction_clause,[status(thm)],[f1899])).
% 48.93/6.53 fof(f2006,plain,(
% 48.93/6.53 ![X0,X1]: (subset_complement(sk0_8(sk0_8(cartesian_product2(X0,sk0_8(X1)))),subset_complement(sk0_8(sk0_8(cartesian_product2(X0,sk0_8(X1)))),sk0_8(sk0_8(sk0_8(cartesian_product2(X0,sk0_8(X1)))))))=sk0_8(sk0_8(sk0_8(cartesian_product2(X0,sk0_8(X1)))))|empty(X0)|empty(X1))),
% 48.93/6.53 inference(resolution,[status(thm)],[f1662,f110])).
% 48.93/6.53 fof(f2015,plain,(
% 48.93/6.53 ![X0]: (subset_complement(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(X0))))),subset_complement(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(X0))))),sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(X0))))))))=sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(X0))))))|empty(X0))),
% 48.93/6.53 inference(resolution,[status(thm)],[f1867,f110])).
% 48.93/6.53 fof(f2017,plain,(
% 48.93/6.53 subset_complement(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7)))),subset_complement(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7)))),sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7)))))))=sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7)))))),
% 48.93/6.53 inference(resolution,[status(thm)],[f1867,f55])).
% 48.93/6.53 fof(f2024,plain,(
% 48.93/6.53 spl0_89 <=> element(subset_complement(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7)))),sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7)))))),powerset(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7))))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f2026,plain,(
% 48.93/6.53 ~element(subset_complement(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7)))),sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7)))))),powerset(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7))))))|spl0_89),
% 48.93/6.53 inference(component_clause,[status(thm)],[f2024])).
% 48.93/6.53 fof(f2027,plain,(
% 48.93/6.53 spl0_90 <=> element(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7))))),powerset(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7))))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f2030,plain,(
% 48.93/6.53 ~element(subset_complement(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7)))),sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7)))))),powerset(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7))))))|element(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7))))),powerset(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7))))))),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f2017,f121])).
% 48.93/6.53 fof(f2031,plain,(
% 48.93/6.53 ~spl0_89|spl0_90),
% 48.93/6.53 inference(split_clause,[status(thm)],[f2030,f2024,f2027])).
% 48.93/6.53 fof(f2032,plain,(
% 48.93/6.53 ~element(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7))))),powerset(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7))))))|spl0_89),
% 48.93/6.53 inference(resolution,[status(thm)],[f2026,f121])).
% 48.93/6.53 fof(f2033,plain,(
% 48.93/6.53 empty(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7)))))|spl0_89),
% 48.93/6.53 inference(resolution,[status(thm)],[f2032,f109])).
% 48.93/6.53 fof(f2034,plain,(
% 48.93/6.53 empty(sk0_8(sk0_8(sk0_8(sk0_7))))|spl0_89),
% 48.93/6.53 inference(resolution,[status(thm)],[f2033,f110])).
% 48.93/6.53 fof(f2040,plain,(
% 48.93/6.53 empty(sk0_8(sk0_8(sk0_7)))|spl0_89),
% 48.93/6.53 inference(resolution,[status(thm)],[f2034,f110])).
% 48.93/6.53 fof(f2046,plain,(
% 48.93/6.53 empty(sk0_8(sk0_7))|spl0_89),
% 48.93/6.53 inference(resolution,[status(thm)],[f2040,f110])).
% 48.93/6.53 fof(f2052,plain,(
% 48.93/6.53 empty(sk0_7)|spl0_89),
% 48.93/6.53 inference(resolution,[status(thm)],[f2046,f110])).
% 48.93/6.53 fof(f2053,plain,(
% 48.93/6.53 $false|spl0_89),
% 48.93/6.53 inference(forward_subsumption_resolution,[status(thm)],[f2052,f55])).
% 48.93/6.53 fof(f2054,plain,(
% 48.93/6.53 spl0_89),
% 48.93/6.53 inference(contradiction_clause,[status(thm)],[f2053])).
% 48.93/6.53 fof(f2224,plain,(
% 48.93/6.53 ![X0]: (subset_complement(sk0_8(sk0_8(sk0_8(cartesian_product2(X0,sk0_7)))),subset_complement(sk0_8(sk0_8(sk0_8(cartesian_product2(X0,sk0_7)))),sk0_8(sk0_8(sk0_8(sk0_8(cartesian_product2(X0,sk0_7)))))))=sk0_8(sk0_8(sk0_8(sk0_8(cartesian_product2(X0,sk0_7)))))|empty(X0))),
% 48.93/6.53 inference(resolution,[status(thm)],[f1870,f55])).
% 48.93/6.53 fof(f2233,plain,(
% 48.93/6.53 ![X0]: (subset_complement(sk0_8(sk0_8(cartesian_product2(X0,sk0_8(sk0_7)))),subset_complement(sk0_8(sk0_8(cartesian_product2(X0,sk0_8(sk0_7)))),sk0_8(sk0_8(sk0_8(cartesian_product2(X0,sk0_8(sk0_7)))))))=sk0_8(sk0_8(sk0_8(cartesian_product2(X0,sk0_8(sk0_7)))))|empty(X0))),
% 48.93/6.53 inference(resolution,[status(thm)],[f2006,f55])).
% 48.93/6.53 fof(f2323,plain,(
% 48.93/6.53 ![X0,X1]: (~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0))|in(sk0_15(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),sk0_1))|~element(sk0_1,powerset(powerset(the_carrier(sk0_0))))|spl0_12)),
% 48.93/6.53 inference(resolution,[status(thm)],[f548,f703])).
% 48.93/6.53 fof(f2324,plain,(
% 48.93/6.53 spl0_22|~spl0_6|spl0_12),
% 48.93/6.53 inference(split_clause,[status(thm)],[f2323,f698,f199,f546])).
% 48.93/6.53 fof(f2325,plain,(
% 48.93/6.53 ![X0,X1]: (~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0))|ordered_pair(sk0_15(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0),sk0_16(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0))=X0|~element(sk0_1,powerset(powerset(the_carrier(sk0_0))))|spl0_12)),
% 48.93/6.53 inference(resolution,[status(thm)],[f548,f596])).
% 48.93/6.53 fof(f2326,plain,(
% 48.93/6.53 spl0_18|~spl0_6|spl0_12),
% 48.93/6.53 inference(split_clause,[status(thm)],[f2325,f591,f199,f546])).
% 48.93/6.53 fof(f2327,plain,(
% 48.93/6.53 ![X0,X1]: (~in(X0,sk0_13(X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0))|sk0_14(X0,X1,subset_complement(powerset(the_carrier(sk0_0)),sk0_1),sk0_0)=X0|~element(sk0_1,powerset(powerset(the_carrier(sk0_0))))|spl0_12)),
% 48.93/6.53 inference(resolution,[status(thm)],[f548,f554])).
% 48.93/6.53 fof(f2328,plain,(
% 48.93/6.53 spl0_13|~spl0_6|spl0_12),
% 48.93/6.53 inference(split_clause,[status(thm)],[f2327,f549,f199,f546])).
% 48.93/6.53 fof(f2646,plain,(
% 48.93/6.53 empty(powerset(the_carrier(sk0_0)))|spl0_76),
% 48.93/6.53 inference(resolution,[status(thm)],[f1517,f109])).
% 48.93/6.53 fof(f2647,plain,(
% 48.93/6.53 spl0_11|spl0_76),
% 48.93/6.53 inference(split_clause,[status(thm)],[f2646,f541,f1515])).
% 48.93/6.53 fof(f2819,plain,(
% 48.93/6.53 ![X0,X1]: (~one_sorted_str(X0)|~element(sk0_1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(sk0_1,X0),sk0_11(sk0_1,X0),sk0_10(sk0_1,X0),sk0_1,X0)|in(ordered_pair(sk0_4(sk0_13(X1,sk0_1,sk0_0)),sk0_5(sk0_13(X1,sk0_1,sk0_0))),sk0_13(sk0_2,sk0_1,X0))|~in(sk0_4(sk0_13(X1,sk0_1,sk0_0)),sk0_1)|element(sk0_17(sk0_5(sk0_13(X1,sk0_1,sk0_0)),sk0_4(sk0_13(X1,sk0_1,sk0_0)),ordered_pair(sk0_4(sk0_13(X1,sk0_1,sk0_0)),sk0_5(sk0_13(X1,sk0_1,sk0_0))),sk0_2,sk0_1,X0),powerset(the_carrier(X0)))|sk0_14(sk0_3(sk0_13(X1,sk0_1,sk0_0)),X1,sk0_1,sk0_0)=sk0_3(sk0_13(X1,sk0_1,sk0_0))|in(sk0_3(sk0_13(X1,sk0_1,sk0_0)),sk0_13(X1,sk0_1,sk0_0))|~spl0_15)),
% 48.93/6.53 inference(resolution,[status(thm)],[f614,f39])).
% 48.93/6.53 fof(f2820,plain,(
% 48.93/6.53 ![X0,X1]: (~one_sorted_str(X0)|~element(sk0_1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(sk0_1,X0),sk0_11(sk0_1,X0),sk0_10(sk0_1,X0),sk0_1,X0)|in(ordered_pair(sk0_4(sk0_13(X1,sk0_1,sk0_0)),sk0_5(sk0_13(X1,sk0_1,sk0_0))),sk0_13(sk0_2,sk0_1,X0))|element(sk0_17(sk0_5(sk0_13(X1,sk0_1,sk0_0)),sk0_4(sk0_13(X1,sk0_1,sk0_0)),ordered_pair(sk0_4(sk0_13(X1,sk0_1,sk0_0)),sk0_5(sk0_13(X1,sk0_1,sk0_0))),sk0_2,sk0_1,X0),powerset(the_carrier(X0)))|sk0_14(sk0_3(sk0_13(X1,sk0_1,sk0_0)),X1,sk0_1,sk0_0)=sk0_3(sk0_13(X1,sk0_1,sk0_0))|in(sk0_3(sk0_13(X1,sk0_1,sk0_0)),sk0_13(X1,sk0_1,sk0_0))|~spl0_15)),
% 48.93/6.53 inference(forward_subsumption_resolution,[status(thm)],[f2819,f41])).
% 48.93/6.53 fof(f2821,plain,(
% 48.93/6.53 spl0_133 <=> one_sorted_str(sk0_0)),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f2823,plain,(
% 48.93/6.53 ~one_sorted_str(sk0_0)|spl0_133),
% 48.93/6.53 inference(component_clause,[status(thm)],[f2821])).
% 48.93/6.53 fof(f2824,plain,(
% 48.93/6.53 spl0_134 <=> in(ordered_pair(sk0_4(sk0_13(X0,sk0_1,sk0_0)),sk0_5(sk0_13(X0,sk0_1,sk0_0))),sk0_13(sk0_2,sk0_1,sk0_0))|element(sk0_17(sk0_5(sk0_13(X0,sk0_1,sk0_0)),sk0_4(sk0_13(X0,sk0_1,sk0_0)),ordered_pair(sk0_4(sk0_13(X0,sk0_1,sk0_0)),sk0_5(sk0_13(X0,sk0_1,sk0_0))),sk0_2,sk0_1,sk0_0),powerset(the_carrier(sk0_0)))|sk0_14(sk0_3(sk0_13(X0,sk0_1,sk0_0)),X0,sk0_1,sk0_0)=sk0_3(sk0_13(X0,sk0_1,sk0_0))|in(sk0_3(sk0_13(X0,sk0_1,sk0_0)),sk0_13(X0,sk0_1,sk0_0))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f2825,plain,(
% 48.93/6.53 ![X0]: (in(ordered_pair(sk0_4(sk0_13(X0,sk0_1,sk0_0)),sk0_5(sk0_13(X0,sk0_1,sk0_0))),sk0_13(sk0_2,sk0_1,sk0_0))|element(sk0_17(sk0_5(sk0_13(X0,sk0_1,sk0_0)),sk0_4(sk0_13(X0,sk0_1,sk0_0)),ordered_pair(sk0_4(sk0_13(X0,sk0_1,sk0_0)),sk0_5(sk0_13(X0,sk0_1,sk0_0))),sk0_2,sk0_1,sk0_0),powerset(the_carrier(sk0_0)))|sk0_14(sk0_3(sk0_13(X0,sk0_1,sk0_0)),X0,sk0_1,sk0_0)=sk0_3(sk0_13(X0,sk0_1,sk0_0))|in(sk0_3(sk0_13(X0,sk0_1,sk0_0)),sk0_13(X0,sk0_1,sk0_0))|~spl0_134)),
% 48.93/6.53 inference(component_clause,[status(thm)],[f2824])).
% 48.93/6.53 fof(f2827,plain,(
% 48.93/6.53 ![X0]: (~one_sorted_str(sk0_0)|pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(sk0_1,sk0_0),sk0_10(sk0_1,sk0_0),sk0_1,sk0_0)|in(ordered_pair(sk0_4(sk0_13(X0,sk0_1,sk0_0)),sk0_5(sk0_13(X0,sk0_1,sk0_0))),sk0_13(sk0_2,sk0_1,sk0_0))|element(sk0_17(sk0_5(sk0_13(X0,sk0_1,sk0_0)),sk0_4(sk0_13(X0,sk0_1,sk0_0)),ordered_pair(sk0_4(sk0_13(X0,sk0_1,sk0_0)),sk0_5(sk0_13(X0,sk0_1,sk0_0))),sk0_2,sk0_1,sk0_0),powerset(the_carrier(sk0_0)))|sk0_14(sk0_3(sk0_13(X0,sk0_1,sk0_0)),X0,sk0_1,sk0_0)=sk0_3(sk0_13(X0,sk0_1,sk0_0))|in(sk0_3(sk0_13(X0,sk0_1,sk0_0)),sk0_13(X0,sk0_1,sk0_0))|~spl0_15)),
% 48.93/6.53 inference(resolution,[status(thm)],[f2820,f38])).
% 48.93/6.53 fof(f2828,plain,(
% 48.93/6.53 ~spl0_133|spl0_14|spl0_134|~spl0_15),
% 48.93/6.53 inference(split_clause,[status(thm)],[f2827,f2821,f555,f2824,f558])).
% 48.93/6.53 fof(f2829,plain,(
% 48.93/6.53 $false|spl0_133),
% 48.93/6.53 inference(forward_subsumption_resolution,[status(thm)],[f2823,f37])).
% 48.93/6.53 fof(f2830,plain,(
% 48.93/6.53 spl0_133),
% 48.93/6.53 inference(contradiction_clause,[status(thm)],[f2829])).
% 48.93/6.53 fof(f2831,plain,(
% 48.93/6.53 ![X0]: (in(ordered_pair(sk0_4(sk0_13(X0,sk0_1,sk0_0)),sk0_5(sk0_13(X0,sk0_1,sk0_0))),sk0_13(sk0_2,sk0_1,sk0_0))|element(sk0_17(sk0_5(sk0_13(X0,sk0_1,sk0_0)),sk0_4(sk0_13(X0,sk0_1,sk0_0)),ordered_pair(sk0_4(sk0_13(X0,sk0_1,sk0_0)),sk0_5(sk0_13(X0,sk0_1,sk0_0))),sk0_2,sk0_1,sk0_0),powerset(the_carrier(sk0_0)))|sk0_14(sk0_3(sk0_13(X0,sk0_1,sk0_0)),X0,sk0_1,sk0_0)=sk0_3(sk0_13(X0,sk0_1,sk0_0))|~spl0_15|~spl0_134)),
% 48.93/6.53 inference(forward_subsumption_resolution,[status(thm)],[f2825,f559])).
% 48.93/6.53 fof(f2836,plain,(
% 48.93/6.53 ![X0]: (in(sk0_3(sk0_13(X0,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,sk0_0))|element(sk0_17(sk0_5(sk0_13(X0,sk0_1,sk0_0)),sk0_4(sk0_13(X0,sk0_1,sk0_0)),ordered_pair(sk0_4(sk0_13(X0,sk0_1,sk0_0)),sk0_5(sk0_13(X0,sk0_1,sk0_0))),sk0_2,sk0_1,sk0_0),powerset(the_carrier(sk0_0)))|sk0_14(sk0_3(sk0_13(X0,sk0_1,sk0_0)),X0,sk0_1,sk0_0)=sk0_3(sk0_13(X0,sk0_1,sk0_0))|sk0_14(sk0_3(sk0_13(X0,sk0_1,sk0_0)),X0,sk0_1,sk0_0)=sk0_3(sk0_13(X0,sk0_1,sk0_0))|~spl0_134|~spl0_15)),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f611,f2831])).
% 48.93/6.53 fof(f2837,plain,(
% 48.93/6.53 ![X0]: (in(sk0_3(sk0_13(X0,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,sk0_0))|element(sk0_17(sk0_5(sk0_13(X0,sk0_1,sk0_0)),sk0_4(sk0_13(X0,sk0_1,sk0_0)),ordered_pair(sk0_4(sk0_13(X0,sk0_1,sk0_0)),sk0_5(sk0_13(X0,sk0_1,sk0_0))),sk0_2,sk0_1,sk0_0),powerset(the_carrier(sk0_0)))|sk0_14(sk0_3(sk0_13(X0,sk0_1,sk0_0)),X0,sk0_1,sk0_0)=sk0_3(sk0_13(X0,sk0_1,sk0_0))|~spl0_134|~spl0_15)),
% 48.93/6.53 inference(duplicate_literals_removal,[status(esa)],[f2836])).
% 48.93/6.53 fof(f2839,plain,(
% 48.93/6.53 ![X0]: (element(sk0_17(sk0_5(sk0_13(X0,sk0_1,sk0_0)),sk0_4(sk0_13(X0,sk0_1,sk0_0)),ordered_pair(sk0_4(sk0_13(X0,sk0_1,sk0_0)),sk0_5(sk0_13(X0,sk0_1,sk0_0))),sk0_2,sk0_1,sk0_0),powerset(the_carrier(sk0_0)))|sk0_14(sk0_3(sk0_13(X0,sk0_1,sk0_0)),X0,sk0_1,sk0_0)=sk0_3(sk0_13(X0,sk0_1,sk0_0))|sk0_14(sk0_3(sk0_13(X0,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=sk0_3(sk0_13(X0,sk0_1,sk0_0))|~spl0_134|~spl0_15)),
% 48.93/6.53 inference(resolution,[status(thm)],[f2837,f559])).
% 48.93/6.53 fof(f2894,plain,(
% 48.93/6.53 ![X0]: (element(sk0_17(sk0_5(sk0_13(X0,sk0_1,sk0_0)),sk0_4(sk0_13(X0,sk0_1,sk0_0)),sk0_3(sk0_13(X0,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),powerset(the_carrier(sk0_0)))|sk0_14(sk0_3(sk0_13(X0,sk0_1,sk0_0)),X0,sk0_1,sk0_0)=sk0_3(sk0_13(X0,sk0_1,sk0_0))|sk0_14(sk0_3(sk0_13(X0,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=sk0_3(sk0_13(X0,sk0_1,sk0_0))|sk0_14(sk0_3(sk0_13(X0,sk0_1,sk0_0)),X0,sk0_1,sk0_0)=sk0_3(sk0_13(X0,sk0_1,sk0_0))|~spl0_134|~spl0_15)),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f611,f2839])).
% 48.93/6.53 fof(f2895,plain,(
% 48.93/6.53 ![X0]: (element(sk0_17(sk0_5(sk0_13(X0,sk0_1,sk0_0)),sk0_4(sk0_13(X0,sk0_1,sk0_0)),sk0_3(sk0_13(X0,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),powerset(the_carrier(sk0_0)))|sk0_14(sk0_3(sk0_13(X0,sk0_1,sk0_0)),X0,sk0_1,sk0_0)=sk0_3(sk0_13(X0,sk0_1,sk0_0))|sk0_14(sk0_3(sk0_13(X0,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=sk0_3(sk0_13(X0,sk0_1,sk0_0))|~spl0_134|~spl0_15)),
% 48.93/6.53 inference(duplicate_literals_removal,[status(esa)],[f2894])).
% 48.93/6.53 fof(f2947,plain,(
% 48.93/6.53 ![X0]: (sk0_14(sk0_3(sk0_13(X0,sk0_1,sk0_0)),X0,sk0_1,sk0_0)=sk0_3(sk0_13(X0,sk0_1,sk0_0))|sk0_14(sk0_3(sk0_13(X0,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=sk0_3(sk0_13(X0,sk0_1,sk0_0))|subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_17(sk0_5(sk0_13(X0,sk0_1,sk0_0)),sk0_4(sk0_13(X0,sk0_1,sk0_0)),sk0_3(sk0_13(X0,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)))=sk0_17(sk0_5(sk0_13(X0,sk0_1,sk0_0)),sk0_4(sk0_13(X0,sk0_1,sk0_0)),sk0_3(sk0_13(X0,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)|~spl0_134|~spl0_15)),
% 48.93/6.53 inference(resolution,[status(thm)],[f2895,f117])).
% 48.93/6.53 fof(f3171,plain,(
% 48.93/6.53 spl0_135 <=> ~in(sk0_3(sk0_13(X0,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,sk0_0))|~in(cartesian_product2(sk0_1,sk0_2),sk0_3(sk0_13(X0,sk0_1,sk0_0)))|sk0_14(sk0_3(sk0_13(X0,sk0_1,sk0_0)),X0,sk0_1,sk0_0)=sk0_3(sk0_13(X0,sk0_1,sk0_0))|subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_17(sk0_5(sk0_13(X0,sk0_1,sk0_0)),sk0_4(sk0_13(X0,sk0_1,sk0_0)),sk0_3(sk0_13(X0,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)))=sk0_17(sk0_5(sk0_13(X0,sk0_1,sk0_0)),sk0_4(sk0_13(X0,sk0_1,sk0_0)),sk0_3(sk0_13(X0,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f3174,plain,(
% 48.93/6.53 ![X0]: (~one_sorted_str(sk0_0)|~element(sk0_1,powerset(powerset(the_carrier(sk0_0))))|pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(sk0_1,sk0_0),sk0_10(sk0_1,sk0_0),sk0_1,sk0_0)|~in(sk0_3(sk0_13(X0,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,sk0_0))|~in(cartesian_product2(sk0_1,sk0_2),sk0_3(sk0_13(X0,sk0_1,sk0_0)))|sk0_14(sk0_3(sk0_13(X0,sk0_1,sk0_0)),X0,sk0_1,sk0_0)=sk0_3(sk0_13(X0,sk0_1,sk0_0))|subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_17(sk0_5(sk0_13(X0,sk0_1,sk0_0)),sk0_4(sk0_13(X0,sk0_1,sk0_0)),sk0_3(sk0_13(X0,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)))=sk0_17(sk0_5(sk0_13(X0,sk0_1,sk0_0)),sk0_4(sk0_13(X0,sk0_1,sk0_0)),sk0_3(sk0_13(X0,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)|~spl0_134|~spl0_15)),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f2947,f522])).
% 48.93/6.53 fof(f3175,plain,(
% 48.93/6.53 ~spl0_133|~spl0_6|spl0_14|spl0_135|~spl0_134|~spl0_15),
% 48.93/6.53 inference(split_clause,[status(thm)],[f3174,f2821,f199,f555,f3171,f2824,f558])).
% 48.93/6.53 fof(f3176,plain,(
% 48.93/6.53 spl0_136 <=> ~in(sk0_3(sk0_13(X0,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,sk0_0))|in(sk0_3(sk0_13(X0,sk0_1,sk0_0)),cartesian_product2(sk0_1,sk0_2))|sk0_14(sk0_3(sk0_13(X0,sk0_1,sk0_0)),X0,sk0_1,sk0_0)=sk0_3(sk0_13(X0,sk0_1,sk0_0))|subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_17(sk0_5(sk0_13(X0,sk0_1,sk0_0)),sk0_4(sk0_13(X0,sk0_1,sk0_0)),sk0_3(sk0_13(X0,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)))=sk0_17(sk0_5(sk0_13(X0,sk0_1,sk0_0)),sk0_4(sk0_13(X0,sk0_1,sk0_0)),sk0_3(sk0_13(X0,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f3179,plain,(
% 48.93/6.53 ![X0]: (~one_sorted_str(sk0_0)|~element(sk0_1,powerset(powerset(the_carrier(sk0_0))))|pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(sk0_1,sk0_0),sk0_10(sk0_1,sk0_0),sk0_1,sk0_0)|~in(sk0_3(sk0_13(X0,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,sk0_0))|in(sk0_3(sk0_13(X0,sk0_1,sk0_0)),cartesian_product2(sk0_1,sk0_2))|sk0_14(sk0_3(sk0_13(X0,sk0_1,sk0_0)),X0,sk0_1,sk0_0)=sk0_3(sk0_13(X0,sk0_1,sk0_0))|subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_17(sk0_5(sk0_13(X0,sk0_1,sk0_0)),sk0_4(sk0_13(X0,sk0_1,sk0_0)),sk0_3(sk0_13(X0,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)))=sk0_17(sk0_5(sk0_13(X0,sk0_1,sk0_0)),sk0_4(sk0_13(X0,sk0_1,sk0_0)),sk0_3(sk0_13(X0,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)|~spl0_134|~spl0_15)),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f2947,f132])).
% 48.93/6.53 fof(f3180,plain,(
% 48.93/6.53 ~spl0_133|~spl0_6|spl0_14|spl0_136|~spl0_134|~spl0_15),
% 48.93/6.53 inference(split_clause,[status(thm)],[f3179,f2821,f199,f555,f3176,f2824,f558])).
% 48.93/6.53 fof(f3181,plain,(
% 48.93/6.53 spl0_137 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)))=sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f3182,plain,(
% 48.93/6.53 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)))=sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)|~spl0_137),
% 48.93/6.53 inference(component_clause,[status(thm)],[f3181])).
% 48.93/6.53 fof(f3184,plain,(
% 48.93/6.53 spl0_138 <=> sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f3186,plain,(
% 48.93/6.53 ~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))|spl0_138),
% 48.93/6.53 inference(component_clause,[status(thm)],[f3184])).
% 48.93/6.53 fof(f3187,plain,(
% 48.93/6.53 spl0_139 <=> sk0_14(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f3188,plain,(
% 48.93/6.53 sk0_14(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))|~spl0_139),
% 48.93/6.53 inference(component_clause,[status(thm)],[f3187])).
% 48.93/6.53 fof(f3190,plain,(
% 48.93/6.53 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)))=sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))|sk0_14(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))|~spl0_134|~spl0_15),
% 48.93/6.53 inference(equality_factoring,[status(esa)],[f2947])).
% 48.93/6.53 fof(f3191,plain,(
% 48.93/6.53 spl0_137|~spl0_138|spl0_139|~spl0_134|~spl0_15),
% 48.93/6.53 inference(split_clause,[status(thm)],[f3190,f3181,f3184,f3187,f2824,f558])).
% 48.93/6.53 fof(f3192,plain,(
% 48.93/6.53 $false|spl0_138),
% 48.93/6.53 inference(trivial_equality_resolution,[status(esa)],[f3186])).
% 48.93/6.53 fof(f3193,plain,(
% 48.93/6.53 spl0_138),
% 48.93/6.53 inference(contradiction_clause,[status(thm)],[f3192])).
% 48.93/6.53 fof(f3194,plain,(
% 48.93/6.53 spl0_140 <=> element(subset_complement(the_carrier(sk0_0),sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f3196,plain,(
% 48.93/6.53 ~element(subset_complement(the_carrier(sk0_0),sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))|spl0_140),
% 48.93/6.53 inference(component_clause,[status(thm)],[f3194])).
% 48.93/6.53 fof(f3197,plain,(
% 48.93/6.53 spl0_141 <=> element(sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),powerset(the_carrier(sk0_0)))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f3198,plain,(
% 48.93/6.53 element(sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),powerset(the_carrier(sk0_0)))|~spl0_141),
% 48.93/6.53 inference(component_clause,[status(thm)],[f3197])).
% 48.93/6.53 fof(f3200,plain,(
% 48.93/6.53 ~element(subset_complement(the_carrier(sk0_0),sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))|element(sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),powerset(the_carrier(sk0_0)))|~spl0_137),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f3182,f121])).
% 48.93/6.53 fof(f3201,plain,(
% 48.93/6.53 ~spl0_140|spl0_141|~spl0_137),
% 48.93/6.53 inference(split_clause,[status(thm)],[f3200,f3194,f3197,f3181])).
% 48.93/6.53 fof(f3206,plain,(
% 48.93/6.53 spl0_142 <=> in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,sk0_0))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f3207,plain,(
% 48.93/6.53 in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,sk0_0))|~spl0_142),
% 48.93/6.53 inference(component_clause,[status(thm)],[f3206])).
% 48.93/6.53 fof(f3208,plain,(
% 48.93/6.53 ~in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,sk0_0))|spl0_142),
% 48.93/6.53 inference(component_clause,[status(thm)],[f3206])).
% 48.93/6.53 fof(f3209,plain,(
% 48.93/6.53 spl0_143 <=> in(cartesian_product2(sk0_1,sk0_2),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f3212,plain,(
% 48.93/6.53 ~one_sorted_str(sk0_0)|~element(sk0_1,powerset(powerset(the_carrier(sk0_0))))|pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(sk0_1,sk0_0),sk0_10(sk0_1,sk0_0),sk0_1,sk0_0)|~in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,sk0_0))|~in(cartesian_product2(sk0_1,sk0_2),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)))|~spl0_139),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f3188,f522])).
% 48.93/6.53 fof(f3213,plain,(
% 48.93/6.53 ~spl0_133|~spl0_6|spl0_14|~spl0_142|~spl0_143|~spl0_139),
% 48.93/6.53 inference(split_clause,[status(thm)],[f3212,f2821,f199,f555,f3206,f3209,f3187])).
% 48.93/6.53 fof(f3214,plain,(
% 48.93/6.53 spl0_144 <=> in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),cartesian_product2(sk0_1,sk0_2))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f3215,plain,(
% 48.93/6.53 in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),cartesian_product2(sk0_1,sk0_2))|~spl0_144),
% 48.93/6.53 inference(component_clause,[status(thm)],[f3214])).
% 48.93/6.53 fof(f3217,plain,(
% 48.93/6.53 ~one_sorted_str(sk0_0)|~element(sk0_1,powerset(powerset(the_carrier(sk0_0))))|pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(sk0_1,sk0_0),sk0_10(sk0_1,sk0_0),sk0_1,sk0_0)|~in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,sk0_0))|in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),cartesian_product2(sk0_1,sk0_2))|~spl0_139),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f3188,f132])).
% 48.93/6.53 fof(f3218,plain,(
% 48.93/6.53 ~spl0_133|~spl0_6|spl0_14|~spl0_142|spl0_144|~spl0_139),
% 48.93/6.53 inference(split_clause,[status(thm)],[f3217,f2821,f199,f555,f3206,f3214,f3187])).
% 48.93/6.53 fof(f3224,plain,(
% 48.93/6.53 ordered_pair(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)))=sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))|spl0_142),
% 48.93/6.53 inference(resolution,[status(thm)],[f3208,f40])).
% 48.93/6.53 fof(f3262,plain,(
% 48.93/6.53 pd0_0(sk0_12(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0),sk0_10(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0)|~spl0_65),
% 48.93/6.53 inference(forward_demodulation,[status(thm)],[f1242,f1378])).
% 48.93/6.53 fof(f3275,plain,(
% 48.93/6.53 pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),sk0_1,sk0_0)|~spl0_33),
% 48.93/6.53 inference(forward_demodulation,[status(thm)],[f194,f753])).
% 48.93/6.53 fof(f3276,plain,(
% 48.93/6.53 pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(sk0_1,sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),sk0_1,sk0_0)|~spl0_33),
% 48.93/6.53 inference(forward_demodulation,[status(thm)],[f194,f3275])).
% 48.93/6.53 fof(f3283,plain,(
% 48.93/6.53 pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),sk0_10(sk0_1,sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0)|~spl0_31),
% 48.93/6.53 inference(forward_demodulation,[status(thm)],[f194,f743])).
% 48.93/6.53 fof(f3284,plain,(
% 48.93/6.53 pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(sk0_1,sk0_0),sk0_10(sk0_1,sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0)|~spl0_31),
% 48.93/6.53 inference(forward_demodulation,[status(thm)],[f194,f3283])).
% 48.93/6.53 fof(f3286,plain,(
% 48.93/6.53 pd0_0(sk0_12(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_11(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0)|~spl0_30),
% 48.93/6.53 inference(forward_demodulation,[status(thm)],[f520,f738])).
% 48.93/6.53 fof(f3289,plain,(
% 48.93/6.53 pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(sk0_1,sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0)|~spl0_29),
% 48.93/6.53 inference(forward_demodulation,[status(thm)],[f194,f733])).
% 48.93/6.53 fof(f3295,plain,(
% 48.93/6.53 pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(sk0_1,sk0_0),sk0_10(subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0)|~spl0_24),
% 48.93/6.53 inference(forward_demodulation,[status(thm)],[f194,f714])).
% 48.93/6.53 fof(f3901,plain,(
% 48.93/6.53 pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(sk0_1,sk0_0),sk0_10(sk0_1,sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0)|~spl0_24),
% 48.93/6.53 inference(forward_demodulation,[status(thm)],[f194,f3295])).
% 48.93/6.53 fof(f3902,plain,(
% 48.93/6.53 pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(sk0_1,sk0_0),sk0_10(sk0_1,sk0_0),sk0_1,sk0_0)|~spl0_24),
% 48.93/6.53 inference(forward_demodulation,[status(thm)],[f194,f3901])).
% 48.93/6.53 fof(f3903,plain,(
% 48.93/6.53 pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(sk0_1,sk0_0),sk0_10(sk0_1,sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_1)),sk0_0)|~spl0_29),
% 48.93/6.53 inference(forward_demodulation,[status(thm)],[f194,f3289])).
% 48.93/6.53 fof(f3905,plain,(
% 48.93/6.53 $false|~spl0_24|spl0_14),
% 48.93/6.53 inference(forward_subsumption_resolution,[status(thm)],[f557,f3902])).
% 48.93/6.53 fof(f3906,plain,(
% 48.93/6.53 ~spl0_24|spl0_14),
% 48.93/6.53 inference(contradiction_clause,[status(thm)],[f3905])).
% 48.93/6.53 fof(f3919,plain,(
% 48.93/6.53 pd0_0(sk0_12(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_11(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_10(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_8(powerset(the_carrier(sk0_0))))),sk0_0)|~spl0_65),
% 48.93/6.53 inference(forward_demodulation,[status(thm)],[f1242,f3262])).
% 48.93/6.53 fof(f3920,plain,(
% 48.93/6.53 pd0_0(sk0_12(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_11(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_10(sk0_8(powerset(the_carrier(sk0_0))),sk0_0),sk0_8(powerset(the_carrier(sk0_0))),sk0_0)|~spl0_65),
% 48.93/6.53 inference(forward_demodulation,[status(thm)],[f1242,f3919])).
% 48.93/6.53 fof(f3932,plain,(
% 48.93/6.53 pd0_0(sk0_12(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_11(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_10(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),subset_complement(powerset(the_carrier(sk0_0)),subset_complement(powerset(the_carrier(sk0_0)),sk0_9(powerset(the_carrier(sk0_0))))),sk0_0)|~spl0_30),
% 48.93/6.53 inference(forward_demodulation,[status(thm)],[f520,f3286])).
% 48.93/6.53 fof(f3933,plain,(
% 48.93/6.53 pd0_0(sk0_12(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_11(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_10(sk0_9(powerset(the_carrier(sk0_0))),sk0_0),sk0_9(powerset(the_carrier(sk0_0))),sk0_0)|~spl0_30),
% 48.93/6.53 inference(forward_demodulation,[status(thm)],[f520,f3932])).
% 48.93/6.53 fof(f3934,plain,(
% 48.93/6.53 pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(sk0_1,sk0_0),sk0_10(sk0_1,sk0_0),sk0_1,sk0_0)|~spl0_31),
% 48.93/6.53 inference(forward_demodulation,[status(thm)],[f194,f3284])).
% 48.93/6.53 fof(f3935,plain,(
% 48.93/6.53 spl0_14|~spl0_31),
% 48.93/6.53 inference(split_clause,[status(thm)],[f3934,f555,f742])).
% 48.93/6.53 fof(f3936,plain,(
% 48.93/6.53 pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(sk0_1,sk0_0),sk0_10(sk0_1,sk0_0),sk0_1,sk0_0)|~spl0_29),
% 48.93/6.53 inference(forward_demodulation,[status(thm)],[f194,f3903])).
% 48.93/6.53 fof(f3937,plain,(
% 48.93/6.53 spl0_14|~spl0_29),
% 48.93/6.53 inference(split_clause,[status(thm)],[f3936,f555,f732])).
% 48.93/6.53 fof(f3940,plain,(
% 48.93/6.53 $false|~spl0_65|spl0_9),
% 48.93/6.53 inference(forward_subsumption_resolution,[status(thm)],[f537,f3920])).
% 48.93/6.53 fof(f3941,plain,(
% 48.93/6.53 ~spl0_65|spl0_9),
% 48.93/6.53 inference(contradiction_clause,[status(thm)],[f3940])).
% 48.93/6.53 fof(f3946,plain,(
% 48.93/6.53 $false|~spl0_30|spl0_7),
% 48.93/6.53 inference(forward_subsumption_resolution,[status(thm)],[f529,f3933])).
% 48.93/6.53 fof(f3947,plain,(
% 48.93/6.53 ~spl0_30|spl0_7),
% 48.93/6.53 inference(contradiction_clause,[status(thm)],[f3946])).
% 48.93/6.53 fof(f3962,plain,(
% 48.93/6.53 spl0_147 <=> in(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_1)),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f3964,plain,(
% 48.93/6.53 ~in(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_1)|spl0_147),
% 48.93/6.53 inference(component_clause,[status(thm)],[f3962])).
% 48.93/6.53 fof(f3965,plain,(
% 48.93/6.53 spl0_148 <=> ordered_pair(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0))=sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f3966,plain,(
% 48.93/6.53 ordered_pair(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0))=sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))|~spl0_148),
% 48.93/6.53 inference(component_clause,[status(thm)],[f3965])).
% 48.93/6.53 fof(f3982,plain,(
% 48.93/6.53 spl0_151 <=> ~ordered_pair(X0,X1)=sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))|~in(X0,sk0_1)|element(sk0_6(X1,X0,sk0_13(sk0_2,sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f3983,plain,(
% 48.93/6.53 ![X0,X1]: (~ordered_pair(X0,X1)=sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))|~in(X0,sk0_1)|element(sk0_6(X1,X0,sk0_13(sk0_2,sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))|~spl0_151)),
% 48.93/6.53 inference(component_clause,[status(thm)],[f3982])).
% 48.93/6.53 fof(f3985,plain,(
% 48.93/6.53 ![X0,X1]: (~in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,sk0_0))|~ordered_pair(X0,X1)=sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))|~in(X0,sk0_1)|element(sk0_6(X1,X0,sk0_13(sk0_2,sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))|~spl0_144)),
% 48.93/6.53 inference(resolution,[status(thm)],[f3215,f43])).
% 48.93/6.53 fof(f3986,plain,(
% 48.93/6.53 ~spl0_142|spl0_151|~spl0_144),
% 48.93/6.53 inference(split_clause,[status(thm)],[f3985,f3206,f3982,f3214])).
% 48.93/6.53 fof(f3987,plain,(
% 48.93/6.53 spl0_152 <=> ~ordered_pair(X0,X1)=sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))|~in(X0,sk0_1)|~X1=subset_complement(the_carrier(sk0_0),sk0_6(X1,X0,sk0_13(sk0_2,sk0_1,sk0_0)))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f3988,plain,(
% 48.93/6.53 ![X0,X1]: (~ordered_pair(X0,X1)=sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))|~in(X0,sk0_1)|~X1=subset_complement(the_carrier(sk0_0),sk0_6(X1,X0,sk0_13(sk0_2,sk0_1,sk0_0)))|~spl0_152)),
% 48.93/6.53 inference(component_clause,[status(thm)],[f3987])).
% 48.93/6.53 fof(f3990,plain,(
% 48.93/6.53 ![X0,X1]: (~in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,sk0_0))|~ordered_pair(X0,X1)=sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))|~in(X0,sk0_1)|~X1=subset_complement(the_carrier(sk0_0),sk0_6(X1,X0,sk0_13(sk0_2,sk0_1,sk0_0)))|~spl0_144)),
% 48.93/6.53 inference(resolution,[status(thm)],[f3215,f45])).
% 48.93/6.53 fof(f3991,plain,(
% 48.93/6.53 ~spl0_142|spl0_152|~spl0_144),
% 48.93/6.53 inference(split_clause,[status(thm)],[f3990,f3206,f3987,f3214])).
% 48.93/6.53 fof(f3992,plain,(
% 48.93/6.53 spl0_153 <=> ~ordered_pair(X0,X1)=sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))|~in(X0,sk0_1)|sk0_6(X1,X0,sk0_13(sk0_2,sk0_1,sk0_0))=X0),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f3993,plain,(
% 48.93/6.53 ![X0,X1]: (~ordered_pair(X0,X1)=sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))|~in(X0,sk0_1)|sk0_6(X1,X0,sk0_13(sk0_2,sk0_1,sk0_0))=X0|~spl0_153)),
% 48.93/6.53 inference(component_clause,[status(thm)],[f3992])).
% 48.93/6.53 fof(f3995,plain,(
% 48.93/6.53 ![X0,X1]: (~in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,sk0_0))|~ordered_pair(X0,X1)=sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))|~in(X0,sk0_1)|sk0_6(X1,X0,sk0_13(sk0_2,sk0_1,sk0_0))=X0|~spl0_144)),
% 48.93/6.53 inference(resolution,[status(thm)],[f3215,f44])).
% 48.93/6.53 fof(f3996,plain,(
% 48.93/6.53 ~spl0_142|spl0_153|~spl0_144),
% 48.93/6.53 inference(split_clause,[status(thm)],[f3995,f3206,f3992,f3214])).
% 48.93/6.53 fof(f3997,plain,(
% 48.93/6.53 in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,sk0_0))|spl0_147),
% 48.93/6.53 inference(resolution,[status(thm)],[f3964,f41])).
% 48.93/6.53 fof(f3998,plain,(
% 48.93/6.53 $false|spl0_142|spl0_147),
% 48.93/6.53 inference(forward_subsumption_resolution,[status(thm)],[f3997,f3208])).
% 48.93/6.53 fof(f3999,plain,(
% 48.93/6.53 spl0_142|spl0_147),
% 48.93/6.53 inference(contradiction_clause,[status(thm)],[f3998])).
% 48.93/6.53 fof(f4051,plain,(
% 48.93/6.53 ![X0,X1,X2]: (~one_sorted_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(X1,X0),sk0_11(X1,X0),sk0_10(X1,X0),X1,X0)|in(ordered_pair(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_5(sk0_13(sk0_2,sk0_1,sk0_0))),sk0_13(X2,X1,X0))|~in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),cartesian_product2(X1,X2))|~in(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),X1)|~sk0_5(sk0_13(sk0_2,sk0_1,sk0_0))=subset_complement(the_carrier(X0),sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),ordered_pair(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_5(sk0_13(sk0_2,sk0_1,sk0_0))),X2,X1,X0))|spl0_142)),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f3224,f155])).
% 48.93/6.53 fof(f4052,plain,(
% 48.93/6.53 ![X0,X1,X2]: (~one_sorted_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(X1,X0),sk0_11(X1,X0),sk0_10(X1,X0),X1,X0)|in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(X2,X1,X0))|~in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),cartesian_product2(X1,X2))|~in(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),X1)|~sk0_5(sk0_13(sk0_2,sk0_1,sk0_0))=subset_complement(the_carrier(X0),sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),ordered_pair(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_5(sk0_13(sk0_2,sk0_1,sk0_0))),X2,X1,X0))|spl0_142)),
% 48.93/6.53 inference(forward_demodulation,[status(thm)],[f3224,f4051])).
% 48.93/6.53 fof(f4053,plain,(
% 48.93/6.53 ![X0,X1,X2]: (~one_sorted_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(X1,X0),sk0_11(X1,X0),sk0_10(X1,X0),X1,X0)|in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(X2,X1,X0))|~in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),cartesian_product2(X1,X2))|~in(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),X1)|~sk0_5(sk0_13(sk0_2,sk0_1,sk0_0))=subset_complement(the_carrier(X0),sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),X2,X1,X0))|spl0_142)),
% 48.93/6.53 inference(forward_demodulation,[status(thm)],[f3224,f4052])).
% 48.93/6.53 fof(f4054,plain,(
% 48.93/6.53 ![X0,X1,X2]: (~one_sorted_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(X1,X0),sk0_11(X1,X0),sk0_10(X1,X0),X1,X0)|in(ordered_pair(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_5(sk0_13(sk0_2,sk0_1,sk0_0))),sk0_13(X2,X1,X0))|~in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),cartesian_product2(X1,X2))|~in(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),X1)|sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),ordered_pair(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_5(sk0_13(sk0_2,sk0_1,sk0_0))),X2,X1,X0)=sk0_4(sk0_13(sk0_2,sk0_1,sk0_0))|spl0_142)),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f3224,f154])).
% 48.93/6.53 fof(f4055,plain,(
% 48.93/6.53 ![X0,X1,X2]: (~one_sorted_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(X1,X0),sk0_11(X1,X0),sk0_10(X1,X0),X1,X0)|in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(X2,X1,X0))|~in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),cartesian_product2(X1,X2))|~in(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),X1)|sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),ordered_pair(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_5(sk0_13(sk0_2,sk0_1,sk0_0))),X2,X1,X0)=sk0_4(sk0_13(sk0_2,sk0_1,sk0_0))|spl0_142)),
% 48.93/6.53 inference(forward_demodulation,[status(thm)],[f3224,f4054])).
% 48.93/6.53 fof(f4056,plain,(
% 48.93/6.53 ![X0,X1,X2]: (~one_sorted_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(X1,X0),sk0_11(X1,X0),sk0_10(X1,X0),X1,X0)|in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(X2,X1,X0))|~in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),cartesian_product2(X1,X2))|~in(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),X1)|sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),X2,X1,X0)=sk0_4(sk0_13(sk0_2,sk0_1,sk0_0))|spl0_142)),
% 48.93/6.53 inference(forward_demodulation,[status(thm)],[f3224,f4055])).
% 48.93/6.53 fof(f4057,plain,(
% 48.93/6.53 ![X0,X1,X2]: (~one_sorted_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(X1,X0),sk0_11(X1,X0),sk0_10(X1,X0),X1,X0)|in(ordered_pair(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_5(sk0_13(sk0_2,sk0_1,sk0_0))),sk0_13(X2,X1,X0))|~in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),cartesian_product2(X1,X2))|~in(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),X1)|element(sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),ordered_pair(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_5(sk0_13(sk0_2,sk0_1,sk0_0))),X2,X1,X0),powerset(the_carrier(X0)))|spl0_142)),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f3224,f153])).
% 48.93/6.53 fof(f4058,plain,(
% 48.93/6.53 ![X0,X1,X2]: (~one_sorted_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(X1,X0),sk0_11(X1,X0),sk0_10(X1,X0),X1,X0)|in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(X2,X1,X0))|~in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),cartesian_product2(X1,X2))|~in(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),X1)|element(sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),ordered_pair(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_5(sk0_13(sk0_2,sk0_1,sk0_0))),X2,X1,X0),powerset(the_carrier(X0)))|spl0_142)),
% 48.93/6.53 inference(forward_demodulation,[status(thm)],[f3224,f4057])).
% 48.93/6.53 fof(f4059,plain,(
% 48.93/6.53 ![X0,X1,X2]: (~one_sorted_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(X1,X0),sk0_11(X1,X0),sk0_10(X1,X0),X1,X0)|in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(X2,X1,X0))|~in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),cartesian_product2(X1,X2))|~in(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),X1)|element(sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),X2,X1,X0),powerset(the_carrier(X0)))|spl0_142)),
% 48.93/6.53 inference(forward_demodulation,[status(thm)],[f3224,f4058])).
% 48.93/6.53 fof(f4063,plain,(
% 48.93/6.53 spl0_157 <=> sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f4228,plain,(
% 48.93/6.53 spl0_190 <=> sk0_6(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),cartesian_product2(sk0_1,sk0_2))=sk0_4(sk0_13(sk0_2,sk0_1,sk0_0))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f4229,plain,(
% 48.93/6.53 sk0_6(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),cartesian_product2(sk0_1,sk0_2))=sk0_4(sk0_13(sk0_2,sk0_1,sk0_0))|~spl0_190),
% 48.93/6.53 inference(component_clause,[status(thm)],[f4228])).
% 48.93/6.53 fof(f4231,plain,(
% 48.93/6.53 ~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_1)|sk0_6(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),cartesian_product2(sk0_1,sk0_2))=sk0_4(sk0_13(sk0_2,sk0_1,sk0_0))|~spl0_1|spl0_142),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f3224,f163])).
% 48.93/6.53 fof(f4232,plain,(
% 48.93/6.53 ~spl0_157|~spl0_147|spl0_190|~spl0_1|spl0_142),
% 48.93/6.53 inference(split_clause,[status(thm)],[f4231,f4063,f3962,f4228,f162,f3206])).
% 48.93/6.53 fof(f4266,plain,(
% 48.93/6.53 spl0_191 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))))))))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f4269,plain,(
% 48.93/6.53 spl0_192 <=> in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f4271,plain,(
% 48.93/6.53 ~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|spl0_192),
% 48.93/6.53 inference(component_clause,[status(thm)],[f4269])).
% 48.93/6.53 fof(f4272,plain,(
% 48.93/6.53 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))))))))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f3966,f330])).
% 48.93/6.53 fof(f4273,plain,(
% 48.93/6.53 spl0_191|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.53 inference(split_clause,[status(thm)],[f4272,f4266,f4063,f4269,f182,f3965])).
% 48.93/6.53 fof(f4274,plain,(
% 48.93/6.53 spl0_193 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))))))))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f4277,plain,(
% 48.93/6.53 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))))))))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f3966,f326])).
% 48.93/6.53 fof(f4278,plain,(
% 48.93/6.53 spl0_193|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.53 inference(split_clause,[status(thm)],[f4277,f4274,f4063,f4269,f182,f3965])).
% 48.93/6.53 fof(f4279,plain,(
% 48.93/6.53 spl0_194 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))))))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f4282,plain,(
% 48.93/6.53 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))))))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f3966,f322])).
% 48.93/6.53 fof(f4283,plain,(
% 48.93/6.53 spl0_194|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.53 inference(split_clause,[status(thm)],[f4282,f4279,f4063,f4269,f182,f3965])).
% 48.93/6.53 fof(f4284,plain,(
% 48.93/6.53 spl0_195 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))))))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f4287,plain,(
% 48.93/6.53 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))))))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f3966,f318])).
% 48.93/6.53 fof(f4288,plain,(
% 48.93/6.53 spl0_195|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.53 inference(split_clause,[status(thm)],[f4287,f4284,f4063,f4269,f182,f3965])).
% 48.93/6.53 fof(f4289,plain,(
% 48.93/6.53 spl0_196 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f4292,plain,(
% 48.93/6.53 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f3966,f314])).
% 48.93/6.53 fof(f4293,plain,(
% 48.93/6.53 spl0_196|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.53 inference(split_clause,[status(thm)],[f4292,f4289,f4063,f4269,f182,f3965])).
% 48.93/6.53 fof(f4294,plain,(
% 48.93/6.53 spl0_197 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f4297,plain,(
% 48.93/6.53 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f3966,f310])).
% 48.93/6.53 fof(f4298,plain,(
% 48.93/6.53 spl0_197|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.53 inference(split_clause,[status(thm)],[f4297,f4294,f4063,f4269,f182,f3965])).
% 48.93/6.53 fof(f4299,plain,(
% 48.93/6.53 spl0_198 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f4302,plain,(
% 48.93/6.53 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f3966,f306])).
% 48.93/6.53 fof(f4303,plain,(
% 48.93/6.53 spl0_198|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.53 inference(split_clause,[status(thm)],[f4302,f4299,f4063,f4269,f182,f3965])).
% 48.93/6.53 fof(f4304,plain,(
% 48.93/6.53 spl0_199 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f4307,plain,(
% 48.93/6.53 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f3966,f302])).
% 48.93/6.53 fof(f4308,plain,(
% 48.93/6.53 spl0_199|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.53 inference(split_clause,[status(thm)],[f4307,f4304,f4063,f4269,f182,f3965])).
% 48.93/6.53 fof(f4309,plain,(
% 48.93/6.53 spl0_200 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f4312,plain,(
% 48.93/6.53 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f3966,f298])).
% 48.93/6.53 fof(f4313,plain,(
% 48.93/6.53 spl0_200|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.53 inference(split_clause,[status(thm)],[f4312,f4309,f4063,f4269,f182,f3965])).
% 48.93/6.53 fof(f4314,plain,(
% 48.93/6.53 spl0_201 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f4317,plain,(
% 48.93/6.53 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f3966,f294])).
% 48.93/6.53 fof(f4318,plain,(
% 48.93/6.53 spl0_201|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.53 inference(split_clause,[status(thm)],[f4317,f4314,f4063,f4269,f182,f3965])).
% 48.93/6.53 fof(f4319,plain,(
% 48.93/6.53 spl0_202 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f4322,plain,(
% 48.93/6.53 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f3966,f290])).
% 48.93/6.53 fof(f4323,plain,(
% 48.93/6.53 spl0_202|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.53 inference(split_clause,[status(thm)],[f4322,f4319,f4063,f4269,f182,f3965])).
% 48.93/6.53 fof(f4324,plain,(
% 48.93/6.53 spl0_203 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f4327,plain,(
% 48.93/6.53 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f3966,f286])).
% 48.93/6.53 fof(f4328,plain,(
% 48.93/6.53 spl0_203|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.53 inference(split_clause,[status(thm)],[f4327,f4324,f4063,f4269,f182,f3965])).
% 48.93/6.53 fof(f4329,plain,(
% 48.93/6.53 spl0_204 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f4332,plain,(
% 48.93/6.53 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f3966,f282])).
% 48.93/6.53 fof(f4333,plain,(
% 48.93/6.53 spl0_204|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.53 inference(split_clause,[status(thm)],[f4332,f4329,f4063,f4269,f182,f3965])).
% 48.93/6.53 fof(f4334,plain,(
% 48.93/6.53 spl0_205 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f4337,plain,(
% 48.93/6.53 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f3966,f278])).
% 48.93/6.53 fof(f4338,plain,(
% 48.93/6.53 spl0_205|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.53 inference(split_clause,[status(thm)],[f4337,f4334,f4063,f4269,f182,f3965])).
% 48.93/6.53 fof(f4339,plain,(
% 48.93/6.53 spl0_206 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f4342,plain,(
% 48.93/6.53 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f3966,f274])).
% 48.93/6.53 fof(f4343,plain,(
% 48.93/6.53 spl0_206|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.53 inference(split_clause,[status(thm)],[f4342,f4339,f4063,f4269,f182,f3965])).
% 48.93/6.53 fof(f4344,plain,(
% 48.93/6.53 spl0_207 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f4347,plain,(
% 48.93/6.53 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f3966,f270])).
% 48.93/6.53 fof(f4348,plain,(
% 48.93/6.53 spl0_207|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.53 inference(split_clause,[status(thm)],[f4347,f4344,f4063,f4269,f182,f3965])).
% 48.93/6.53 fof(f4349,plain,(
% 48.93/6.53 spl0_208 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f4352,plain,(
% 48.93/6.53 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f3966,f266])).
% 48.93/6.53 fof(f4353,plain,(
% 48.93/6.53 spl0_208|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.53 inference(split_clause,[status(thm)],[f4352,f4349,f4063,f4269,f182,f3965])).
% 48.93/6.53 fof(f4354,plain,(
% 48.93/6.53 spl0_209 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f4357,plain,(
% 48.93/6.53 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f3966,f262])).
% 48.93/6.53 fof(f4358,plain,(
% 48.93/6.53 spl0_209|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.53 inference(split_clause,[status(thm)],[f4357,f4354,f4063,f4269,f182,f3965])).
% 48.93/6.53 fof(f4359,plain,(
% 48.93/6.53 spl0_210 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f4362,plain,(
% 48.93/6.53 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f3966,f258])).
% 48.93/6.53 fof(f4363,plain,(
% 48.93/6.53 spl0_210|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.53 inference(split_clause,[status(thm)],[f4362,f4359,f4063,f4269,f182,f3965])).
% 48.93/6.53 fof(f4364,plain,(
% 48.93/6.53 spl0_211 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f4367,plain,(
% 48.93/6.53 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f3966,f254])).
% 48.93/6.53 fof(f4368,plain,(
% 48.93/6.53 spl0_211|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.53 inference(split_clause,[status(thm)],[f4367,f4364,f4063,f4269,f182,f3965])).
% 48.93/6.53 fof(f4369,plain,(
% 48.93/6.53 spl0_212 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f4372,plain,(
% 48.93/6.53 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.53 inference(paramodulation,[status(thm)],[f3966,f250])).
% 48.93/6.53 fof(f4373,plain,(
% 48.93/6.53 spl0_212|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.53 inference(split_clause,[status(thm)],[f4372,f4369,f4063,f4269,f182,f3965])).
% 48.93/6.53 fof(f4374,plain,(
% 48.93/6.53 spl0_213 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))),
% 48.93/6.53 introduced(split_symbol_definition)).
% 48.93/6.53 fof(f4377,plain,(
% 48.93/6.53 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.54 inference(paramodulation,[status(thm)],[f3966,f246])).
% 48.93/6.54 fof(f4378,plain,(
% 48.93/6.54 spl0_213|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.54 inference(split_clause,[status(thm)],[f4377,f4374,f4063,f4269,f182,f3965])).
% 48.93/6.54 fof(f4379,plain,(
% 48.93/6.54 spl0_214 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f4382,plain,(
% 48.93/6.54 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.54 inference(paramodulation,[status(thm)],[f3966,f242])).
% 48.93/6.54 fof(f4383,plain,(
% 48.93/6.54 spl0_214|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.54 inference(split_clause,[status(thm)],[f4382,f4379,f4063,f4269,f182,f3965])).
% 48.93/6.54 fof(f4384,plain,(
% 48.93/6.54 spl0_215 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f4387,plain,(
% 48.93/6.54 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.54 inference(paramodulation,[status(thm)],[f3966,f238])).
% 48.93/6.54 fof(f4388,plain,(
% 48.93/6.54 spl0_215|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.54 inference(split_clause,[status(thm)],[f4387,f4384,f4063,f4269,f182,f3965])).
% 48.93/6.54 fof(f4389,plain,(
% 48.93/6.54 spl0_216 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f4392,plain,(
% 48.93/6.54 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.54 inference(paramodulation,[status(thm)],[f3966,f234])).
% 48.93/6.54 fof(f4393,plain,(
% 48.93/6.54 spl0_216|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.54 inference(split_clause,[status(thm)],[f4392,f4389,f4063,f4269,f182,f3965])).
% 48.93/6.54 fof(f4394,plain,(
% 48.93/6.54 spl0_217 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f4397,plain,(
% 48.93/6.54 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.54 inference(paramodulation,[status(thm)],[f3966,f230])).
% 48.93/6.54 fof(f4398,plain,(
% 48.93/6.54 spl0_217|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.54 inference(split_clause,[status(thm)],[f4397,f4394,f4063,f4269,f182,f3965])).
% 48.93/6.54 fof(f4399,plain,(
% 48.93/6.54 spl0_218 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f4402,plain,(
% 48.93/6.54 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.54 inference(paramodulation,[status(thm)],[f3966,f226])).
% 48.93/6.54 fof(f4403,plain,(
% 48.93/6.54 spl0_218|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.54 inference(split_clause,[status(thm)],[f4402,f4399,f4063,f4269,f182,f3965])).
% 48.93/6.54 fof(f4404,plain,(
% 48.93/6.54 spl0_219 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f4407,plain,(
% 48.93/6.54 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.54 inference(paramodulation,[status(thm)],[f3966,f222])).
% 48.93/6.54 fof(f4408,plain,(
% 48.93/6.54 spl0_219|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.54 inference(split_clause,[status(thm)],[f4407,f4404,f4063,f4269,f182,f3965])).
% 48.93/6.54 fof(f4409,plain,(
% 48.93/6.54 spl0_220 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f4412,plain,(
% 48.93/6.54 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.54 inference(paramodulation,[status(thm)],[f3966,f218])).
% 48.93/6.54 fof(f4413,plain,(
% 48.93/6.54 spl0_220|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.54 inference(split_clause,[status(thm)],[f4412,f4409,f4063,f4269,f182,f3965])).
% 48.93/6.54 fof(f4414,plain,(
% 48.93/6.54 spl0_221 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f4417,plain,(
% 48.93/6.54 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))))=subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.54 inference(paramodulation,[status(thm)],[f3966,f214])).
% 48.93/6.54 fof(f4418,plain,(
% 48.93/6.54 spl0_221|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.54 inference(split_clause,[status(thm)],[f4417,f4414,f4063,f4269,f182,f3965])).
% 48.93/6.54 fof(f4419,plain,(
% 48.93/6.54 spl0_222 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))=subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f4422,plain,(
% 48.93/6.54 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))))=subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.54 inference(paramodulation,[status(thm)],[f3966,f210])).
% 48.93/6.54 fof(f4423,plain,(
% 48.93/6.54 spl0_222|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.54 inference(split_clause,[status(thm)],[f4422,f4419,f4063,f4269,f182,f3965])).
% 48.93/6.54 fof(f4424,plain,(
% 48.93/6.54 spl0_223 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))=sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f4425,plain,(
% 48.93/6.54 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))=sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))|~spl0_223),
% 48.93/6.54 inference(component_clause,[status(thm)],[f4424])).
% 48.93/6.54 fof(f4427,plain,(
% 48.93/6.54 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))))=sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))|~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~spl0_4|~spl0_148),
% 48.93/6.54 inference(paramodulation,[status(thm)],[f3966,f193])).
% 48.93/6.54 fof(f4428,plain,(
% 48.93/6.54 spl0_223|~spl0_157|~spl0_192|~spl0_4|~spl0_148),
% 48.93/6.54 inference(split_clause,[status(thm)],[f4427,f4424,f4063,f4269,f182,f3965])).
% 48.93/6.54 fof(f4429,plain,(
% 48.93/6.54 spl0_224 <=> sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f4432,plain,(
% 48.93/6.54 ~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2)))|~spl0_3|~spl0_148),
% 48.93/6.54 inference(paramodulation,[status(thm)],[f3966,f176])).
% 48.93/6.54 fof(f4433,plain,(
% 48.93/6.54 ~spl0_157|~spl0_192|~spl0_224|~spl0_3|~spl0_148),
% 48.93/6.54 inference(split_clause,[status(thm)],[f4432,f4063,f4269,f4429,f175,f3965])).
% 48.93/6.54 fof(f4434,plain,(
% 48.93/6.54 spl0_225 <=> sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))=sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f4435,plain,(
% 48.93/6.54 sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))=sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)|~spl0_225),
% 48.93/6.54 inference(component_clause,[status(thm)],[f4434])).
% 48.93/6.54 fof(f4437,plain,(
% 48.93/6.54 ~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))=sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)|~spl0_1|~spl0_148),
% 48.93/6.54 inference(paramodulation,[status(thm)],[f3966,f163])).
% 48.93/6.54 fof(f4438,plain,(
% 48.93/6.54 ~spl0_157|~spl0_192|spl0_225|~spl0_1|~spl0_148),
% 48.93/6.54 inference(split_clause,[status(thm)],[f4437,f4063,f4269,f4434,f162,f3965])).
% 48.93/6.54 fof(f4439,plain,(
% 48.93/6.54 ~element(sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),powerset(the_carrier(sk0_0)))|spl0_140),
% 48.93/6.54 inference(resolution,[status(thm)],[f3196,f121])).
% 48.93/6.54 fof(f4444,plain,(
% 48.93/6.54 sk0_14(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))|sk0_14(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))|spl0_140|~spl0_134|~spl0_15),
% 48.93/6.54 inference(resolution,[status(thm)],[f4439,f2895])).
% 48.93/6.54 fof(f4445,plain,(
% 48.93/6.54 spl0_139|spl0_140|~spl0_134|~spl0_15),
% 48.93/6.54 inference(split_clause,[status(thm)],[f4444,f3187,f3194,f2824,f558])).
% 48.93/6.54 fof(f4500,plain,(
% 48.93/6.54 subset_complement(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7))))),subset_complement(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7))))),sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7))))))))=sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7))))))),
% 48.93/6.54 inference(resolution,[status(thm)],[f2015,f55])).
% 48.93/6.54 fof(f4509,plain,(
% 48.93/6.54 subset_complement(sk0_8(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_7)))),subset_complement(sk0_8(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_7)))),sk0_8(sk0_8(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_7)))))))=sk0_8(sk0_8(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_7)))))),
% 48.93/6.54 inference(resolution,[status(thm)],[f2224,f55])).
% 48.93/6.54 fof(f4518,plain,(
% 48.93/6.54 subset_complement(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_7)))),subset_complement(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_7)))),sk0_8(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_7)))))))=sk0_8(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_7)))))),
% 48.93/6.54 inference(resolution,[status(thm)],[f2233,f55])).
% 48.93/6.54 fof(f4526,plain,(
% 48.93/6.54 spl0_226 <=> element(subset_complement(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7))))),sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7))))))),powerset(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7)))))))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f4528,plain,(
% 48.93/6.54 ~element(subset_complement(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7))))),sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7))))))),powerset(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7)))))))|spl0_226),
% 48.93/6.54 inference(component_clause,[status(thm)],[f4526])).
% 48.93/6.54 fof(f4529,plain,(
% 48.93/6.54 spl0_227 <=> element(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7)))))),powerset(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7)))))))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f4532,plain,(
% 48.93/6.54 ~element(subset_complement(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7))))),sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7))))))),powerset(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7)))))))|element(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7)))))),powerset(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7)))))))),
% 48.93/6.54 inference(paramodulation,[status(thm)],[f4500,f121])).
% 48.93/6.54 fof(f4533,plain,(
% 48.93/6.54 ~spl0_226|spl0_227),
% 48.93/6.54 inference(split_clause,[status(thm)],[f4532,f4526,f4529])).
% 48.93/6.54 fof(f4534,plain,(
% 48.93/6.54 ~element(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7)))))),powerset(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7)))))))|spl0_226),
% 48.93/6.54 inference(resolution,[status(thm)],[f4528,f121])).
% 48.93/6.54 fof(f4535,plain,(
% 48.93/6.54 empty(sk0_8(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7))))))|spl0_226),
% 48.93/6.54 inference(resolution,[status(thm)],[f4534,f109])).
% 48.93/6.54 fof(f4536,plain,(
% 48.93/6.54 empty(sk0_8(sk0_8(sk0_8(sk0_8(sk0_7)))))|spl0_226),
% 48.93/6.54 inference(resolution,[status(thm)],[f4535,f110])).
% 48.93/6.54 fof(f4655,plain,(
% 48.93/6.54 empty(sk0_8(sk0_8(sk0_8(sk0_7))))|spl0_226),
% 48.93/6.54 inference(resolution,[status(thm)],[f4536,f110])).
% 48.93/6.54 fof(f4661,plain,(
% 48.93/6.54 empty(sk0_8(sk0_8(sk0_7)))|spl0_226),
% 48.93/6.54 inference(resolution,[status(thm)],[f4655,f110])).
% 48.93/6.54 fof(f4667,plain,(
% 48.93/6.54 empty(sk0_8(sk0_7))|spl0_226),
% 48.93/6.54 inference(resolution,[status(thm)],[f4661,f110])).
% 48.93/6.54 fof(f4673,plain,(
% 48.93/6.54 empty(sk0_7)|spl0_226),
% 48.93/6.54 inference(resolution,[status(thm)],[f4667,f110])).
% 48.93/6.54 fof(f4674,plain,(
% 48.93/6.54 $false|spl0_226),
% 48.93/6.54 inference(forward_subsumption_resolution,[status(thm)],[f4673,f55])).
% 48.93/6.54 fof(f4675,plain,(
% 48.93/6.54 spl0_226),
% 48.93/6.54 inference(contradiction_clause,[status(thm)],[f4674])).
% 48.93/6.54 fof(f4809,plain,(
% 48.93/6.54 spl0_228 <=> element(subset_complement(sk0_8(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_7)))),sk0_8(sk0_8(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_7)))))),powerset(sk0_8(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_7))))))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f4811,plain,(
% 48.93/6.54 ~element(subset_complement(sk0_8(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_7)))),sk0_8(sk0_8(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_7)))))),powerset(sk0_8(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_7))))))|spl0_228),
% 48.93/6.54 inference(component_clause,[status(thm)],[f4809])).
% 48.93/6.54 fof(f4812,plain,(
% 48.93/6.54 spl0_229 <=> element(sk0_8(sk0_8(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_7))))),powerset(sk0_8(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_7))))))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f4815,plain,(
% 48.93/6.54 ~element(subset_complement(sk0_8(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_7)))),sk0_8(sk0_8(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_7)))))),powerset(sk0_8(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_7))))))|element(sk0_8(sk0_8(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_7))))),powerset(sk0_8(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_7))))))),
% 48.93/6.54 inference(paramodulation,[status(thm)],[f4509,f121])).
% 48.93/6.54 fof(f4816,plain,(
% 48.93/6.54 ~spl0_228|spl0_229),
% 48.93/6.54 inference(split_clause,[status(thm)],[f4815,f4809,f4812])).
% 48.93/6.54 fof(f4817,plain,(
% 48.93/6.54 ~element(sk0_8(sk0_8(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_7))))),powerset(sk0_8(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_7))))))|spl0_228),
% 48.93/6.54 inference(resolution,[status(thm)],[f4811,f121])).
% 48.93/6.54 fof(f4818,plain,(
% 48.93/6.54 empty(sk0_8(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_7)))))|spl0_228),
% 48.93/6.54 inference(resolution,[status(thm)],[f4817,f109])).
% 48.93/6.54 fof(f4819,plain,(
% 48.93/6.54 empty(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_7))))|spl0_228),
% 48.93/6.54 inference(resolution,[status(thm)],[f4818,f110])).
% 48.93/6.54 fof(f4825,plain,(
% 48.93/6.54 empty(sk0_8(cartesian_product2(sk0_7,sk0_7)))|spl0_228),
% 48.93/6.54 inference(resolution,[status(thm)],[f4819,f110])).
% 48.93/6.54 fof(f4831,plain,(
% 48.93/6.54 empty(cartesian_product2(sk0_7,sk0_7))|spl0_228),
% 48.93/6.54 inference(resolution,[status(thm)],[f4825,f110])).
% 48.93/6.54 fof(f4837,plain,(
% 48.93/6.54 spl0_230 <=> empty(sk0_7)),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f4838,plain,(
% 48.93/6.54 empty(sk0_7)|~spl0_230),
% 48.93/6.54 inference(component_clause,[status(thm)],[f4837])).
% 48.93/6.54 fof(f4840,plain,(
% 48.93/6.54 empty(sk0_7)|empty(sk0_7)|spl0_228),
% 48.93/6.54 inference(resolution,[status(thm)],[f4831,f112])).
% 48.93/6.54 fof(f4841,plain,(
% 48.93/6.54 spl0_230|spl0_228),
% 48.93/6.54 inference(split_clause,[status(thm)],[f4840,f4837,f4809])).
% 48.93/6.54 fof(f4847,plain,(
% 48.93/6.54 $false|~spl0_230),
% 48.93/6.54 inference(forward_subsumption_resolution,[status(thm)],[f4838,f55])).
% 48.93/6.54 fof(f4848,plain,(
% 48.93/6.54 ~spl0_230),
% 48.93/6.54 inference(contradiction_clause,[status(thm)],[f4847])).
% 48.93/6.54 fof(f4953,plain,(
% 48.93/6.54 spl0_231 <=> element(subset_complement(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_7)))),sk0_8(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_7)))))),powerset(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_7))))))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f4955,plain,(
% 48.93/6.54 ~element(subset_complement(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_7)))),sk0_8(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_7)))))),powerset(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_7))))))|spl0_231),
% 48.93/6.54 inference(component_clause,[status(thm)],[f4953])).
% 48.93/6.54 fof(f4956,plain,(
% 48.93/6.54 spl0_232 <=> element(sk0_8(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_7))))),powerset(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_7))))))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f4959,plain,(
% 48.93/6.54 ~element(subset_complement(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_7)))),sk0_8(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_7)))))),powerset(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_7))))))|element(sk0_8(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_7))))),powerset(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_7))))))),
% 48.93/6.54 inference(paramodulation,[status(thm)],[f4518,f121])).
% 48.93/6.54 fof(f4960,plain,(
% 48.93/6.54 ~spl0_231|spl0_232),
% 48.93/6.54 inference(split_clause,[status(thm)],[f4959,f4953,f4956])).
% 48.93/6.54 fof(f4961,plain,(
% 48.93/6.54 ~element(sk0_8(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_7))))),powerset(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_7))))))|spl0_231),
% 48.93/6.54 inference(resolution,[status(thm)],[f4955,f121])).
% 48.93/6.54 fof(f4962,plain,(
% 48.93/6.54 empty(sk0_8(sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_7)))))|spl0_231),
% 48.93/6.54 inference(resolution,[status(thm)],[f4961,f109])).
% 48.93/6.54 fof(f4963,plain,(
% 48.93/6.54 empty(sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_7))))|spl0_231),
% 48.93/6.54 inference(resolution,[status(thm)],[f4962,f110])).
% 48.93/6.54 fof(f4969,plain,(
% 48.93/6.54 empty(cartesian_product2(sk0_7,sk0_8(sk0_7)))|spl0_231),
% 48.93/6.54 inference(resolution,[status(thm)],[f4963,f110])).
% 48.93/6.54 fof(f4975,plain,(
% 48.93/6.54 spl0_233 <=> empty(sk0_8(sk0_7))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f4976,plain,(
% 48.93/6.54 empty(sk0_8(sk0_7))|~spl0_233),
% 48.93/6.54 inference(component_clause,[status(thm)],[f4975])).
% 48.93/6.54 fof(f4977,plain,(
% 48.93/6.54 ~empty(sk0_8(sk0_7))|spl0_233),
% 48.93/6.54 inference(component_clause,[status(thm)],[f4975])).
% 48.93/6.54 fof(f4978,plain,(
% 48.93/6.54 empty(sk0_7)|empty(sk0_8(sk0_7))|spl0_231),
% 48.93/6.54 inference(resolution,[status(thm)],[f4969,f112])).
% 48.93/6.54 fof(f4979,plain,(
% 48.93/6.54 spl0_230|spl0_233|spl0_231),
% 48.93/6.54 inference(split_clause,[status(thm)],[f4978,f4837,f4975,f4953])).
% 48.93/6.54 fof(f4985,plain,(
% 48.93/6.54 empty(sk0_7)|~spl0_233),
% 48.93/6.54 inference(resolution,[status(thm)],[f4976,f110])).
% 48.93/6.54 fof(f4986,plain,(
% 48.93/6.54 spl0_230|~spl0_233),
% 48.93/6.54 inference(split_clause,[status(thm)],[f4985,f4837,f4975])).
% 48.93/6.54 fof(f5219,plain,(
% 48.93/6.54 ![X0]: (subset_complement(cartesian_product2(X0,sk0_8(sk0_8(sk0_7))),subset_complement(cartesian_product2(X0,sk0_8(sk0_8(sk0_7))),sk0_8(cartesian_product2(X0,sk0_8(sk0_8(sk0_7))))))=sk0_8(cartesian_product2(X0,sk0_8(sk0_8(sk0_7))))|empty(X0)|spl0_233)),
% 48.93/6.54 inference(resolution,[status(thm)],[f1792,f4977])).
% 48.93/6.54 fof(f5351,plain,(
% 48.93/6.54 spl0_234 <=> ~one_sorted_str(X0)|~element(sk0_1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(sk0_1,X0),sk0_11(sk0_1,X0),sk0_10(sk0_1,X0),sk0_1,X0)|in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,X0))|element(sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,X0),powerset(the_carrier(X0)))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f5352,plain,(
% 48.93/6.54 ![X0]: (~one_sorted_str(X0)|~element(sk0_1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(sk0_1,X0),sk0_11(sk0_1,X0),sk0_10(sk0_1,X0),sk0_1,X0)|in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,X0))|element(sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,X0),powerset(the_carrier(X0)))|~spl0_234)),
% 48.93/6.54 inference(component_clause,[status(thm)],[f5351])).
% 48.93/6.54 fof(f5356,plain,(
% 48.93/6.54 ![X0]: (~one_sorted_str(X0)|~element(sk0_1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(sk0_1,X0),sk0_11(sk0_1,X0),sk0_10(sk0_1,X0),sk0_1,X0)|in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,X0))|~in(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_1)|element(sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,X0),powerset(the_carrier(X0)))|in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,sk0_0))|spl0_142)),
% 48.93/6.54 inference(resolution,[status(thm)],[f4059,f39])).
% 48.93/6.54 fof(f5357,plain,(
% 48.93/6.54 spl0_234|~spl0_147|spl0_142),
% 48.93/6.54 inference(split_clause,[status(thm)],[f5356,f5351,f3962,f3206])).
% 48.93/6.54 fof(f5358,plain,(
% 48.93/6.54 ~one_sorted_str(sk0_0)|~element(sk0_1,powerset(powerset(the_carrier(sk0_0))))|pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(sk0_1,sk0_0),sk0_10(sk0_1,sk0_0),sk0_1,sk0_0)|element(sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),powerset(the_carrier(sk0_0)))|~spl0_234|spl0_142),
% 48.93/6.54 inference(resolution,[status(thm)],[f5352,f3208])).
% 48.93/6.54 fof(f5359,plain,(
% 48.93/6.54 ~spl0_133|~spl0_6|spl0_14|spl0_141|~spl0_234|spl0_142),
% 48.93/6.54 inference(split_clause,[status(thm)],[f5358,f2821,f199,f555,f3197,f5351,f3206])).
% 48.93/6.54 fof(f5371,plain,(
% 48.93/6.54 spl0_235 <=> ~one_sorted_str(X0)|~element(sk0_1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(sk0_1,X0),sk0_11(sk0_1,X0),sk0_10(sk0_1,X0),sk0_1,X0)|in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,X0))|sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,X0)=sk0_4(sk0_13(sk0_2,sk0_1,sk0_0))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f5372,plain,(
% 48.93/6.54 ![X0]: (~one_sorted_str(X0)|~element(sk0_1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(sk0_1,X0),sk0_11(sk0_1,X0),sk0_10(sk0_1,X0),sk0_1,X0)|in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,X0))|sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,X0)=sk0_4(sk0_13(sk0_2,sk0_1,sk0_0))|~spl0_235)),
% 48.93/6.54 inference(component_clause,[status(thm)],[f5371])).
% 48.93/6.54 fof(f5376,plain,(
% 48.93/6.54 ![X0]: (~one_sorted_str(X0)|~element(sk0_1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(sk0_1,X0),sk0_11(sk0_1,X0),sk0_10(sk0_1,X0),sk0_1,X0)|in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,X0))|~in(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_1)|sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,X0)=sk0_4(sk0_13(sk0_2,sk0_1,sk0_0))|in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,sk0_0))|spl0_142)),
% 48.93/6.54 inference(resolution,[status(thm)],[f4056,f39])).
% 48.93/6.54 fof(f5377,plain,(
% 48.93/6.54 spl0_235|~spl0_147|spl0_142),
% 48.93/6.54 inference(split_clause,[status(thm)],[f5376,f5371,f3962,f3206])).
% 48.93/6.54 fof(f5378,plain,(
% 48.93/6.54 spl0_236 <=> sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=sk0_4(sk0_13(sk0_2,sk0_1,sk0_0))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f5379,plain,(
% 48.93/6.54 sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=sk0_4(sk0_13(sk0_2,sk0_1,sk0_0))|~spl0_236),
% 48.93/6.54 inference(component_clause,[status(thm)],[f5378])).
% 48.93/6.54 fof(f5381,plain,(
% 48.93/6.54 ~one_sorted_str(sk0_0)|~element(sk0_1,powerset(powerset(the_carrier(sk0_0))))|pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(sk0_1,sk0_0),sk0_10(sk0_1,sk0_0),sk0_1,sk0_0)|sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=sk0_4(sk0_13(sk0_2,sk0_1,sk0_0))|~spl0_235|spl0_142),
% 48.93/6.54 inference(resolution,[status(thm)],[f5372,f3208])).
% 48.93/6.54 fof(f5382,plain,(
% 48.93/6.54 ~spl0_133|~spl0_6|spl0_14|spl0_236|~spl0_235|spl0_142),
% 48.93/6.54 inference(split_clause,[status(thm)],[f5381,f2821,f199,f555,f5378,f5371,f3206])).
% 48.93/6.54 fof(f5390,plain,(
% 48.93/6.54 element(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))|~spl0_236|~spl0_141),
% 48.93/6.54 inference(backward_demodulation,[status(thm)],[f5379,f3198])).
% 48.93/6.54 fof(f5391,plain,(
% 48.93/6.54 spl0_237 <=> sk0_5(sk0_13(sk0_2,sk0_1,sk0_0))=subset_complement(the_carrier(sk0_0),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f5392,plain,(
% 48.93/6.54 sk0_5(sk0_13(sk0_2,sk0_1,sk0_0))=subset_complement(the_carrier(sk0_0),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)))|~spl0_237),
% 48.93/6.54 inference(component_clause,[status(thm)],[f5391])).
% 48.93/6.54 fof(f5394,plain,(
% 48.93/6.54 in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,sk0_0))|sk0_5(sk0_13(sk0_2,sk0_1,sk0_0))=subset_complement(the_carrier(sk0_0),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)))|~spl0_236|~spl0_141),
% 48.93/6.54 inference(resolution,[status(thm)],[f5390,f151])).
% 48.93/6.54 fof(f5395,plain,(
% 48.93/6.54 spl0_142|spl0_237|~spl0_236|~spl0_141),
% 48.93/6.54 inference(split_clause,[status(thm)],[f5394,f3206,f5391,f5378,f3197])).
% 48.93/6.54 fof(f5449,plain,(
% 48.93/6.54 spl0_238 <=> element(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f5450,plain,(
% 48.93/6.54 element(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))|~spl0_238),
% 48.93/6.54 inference(component_clause,[status(thm)],[f5449])).
% 48.93/6.54 fof(f5572,plain,(
% 48.93/6.54 spl0_240 <=> ~one_sorted_str(X0)|~element(sk0_1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(sk0_1,X0),sk0_11(sk0_1,X0),sk0_10(sk0_1,X0),sk0_1,X0)|in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,X0))|~sk0_5(sk0_13(sk0_2,sk0_1,sk0_0))=subset_complement(the_carrier(X0),sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,X0))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f5573,plain,(
% 48.93/6.54 ![X0]: (~one_sorted_str(X0)|~element(sk0_1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(sk0_1,X0),sk0_11(sk0_1,X0),sk0_10(sk0_1,X0),sk0_1,X0)|in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,X0))|~sk0_5(sk0_13(sk0_2,sk0_1,sk0_0))=subset_complement(the_carrier(X0),sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,X0))|~spl0_240)),
% 48.93/6.54 inference(component_clause,[status(thm)],[f5572])).
% 48.93/6.54 fof(f5577,plain,(
% 48.93/6.54 ![X0]: (~one_sorted_str(X0)|~element(sk0_1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_12(sk0_1,X0),sk0_11(sk0_1,X0),sk0_10(sk0_1,X0),sk0_1,X0)|in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,X0))|~in(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_1)|~sk0_5(sk0_13(sk0_2,sk0_1,sk0_0))=subset_complement(the_carrier(X0),sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,X0))|in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,sk0_0))|spl0_142)),
% 48.93/6.54 inference(resolution,[status(thm)],[f4053,f39])).
% 48.93/6.54 fof(f5578,plain,(
% 48.93/6.54 spl0_240|~spl0_147|spl0_142),
% 48.93/6.54 inference(split_clause,[status(thm)],[f5577,f5572,f3962,f3206])).
% 48.93/6.54 fof(f5579,plain,(
% 48.93/6.54 spl0_241 <=> sk0_5(sk0_13(sk0_2,sk0_1,sk0_0))=subset_complement(the_carrier(sk0_0),sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f5581,plain,(
% 48.93/6.54 ~sk0_5(sk0_13(sk0_2,sk0_1,sk0_0))=subset_complement(the_carrier(sk0_0),sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0))|spl0_241),
% 48.93/6.54 inference(component_clause,[status(thm)],[f5579])).
% 48.93/6.54 fof(f5582,plain,(
% 48.93/6.54 ~one_sorted_str(sk0_0)|~element(sk0_1,powerset(powerset(the_carrier(sk0_0))))|pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(sk0_1,sk0_0),sk0_10(sk0_1,sk0_0),sk0_1,sk0_0)|~sk0_5(sk0_13(sk0_2,sk0_1,sk0_0))=subset_complement(the_carrier(sk0_0),sk0_17(sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0))|~spl0_240|spl0_142),
% 48.93/6.54 inference(resolution,[status(thm)],[f5573,f3208])).
% 48.93/6.54 fof(f5583,plain,(
% 48.93/6.54 ~spl0_133|~spl0_6|spl0_14|~spl0_241|~spl0_240|spl0_142),
% 48.93/6.54 inference(split_clause,[status(thm)],[f5582,f2821,f199,f555,f5579,f5572,f3206])).
% 48.93/6.54 fof(f5589,plain,(
% 48.93/6.54 ~sk0_5(sk0_13(sk0_2,sk0_1,sk0_0))=subset_complement(the_carrier(sk0_0),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)))|~spl0_236|spl0_241),
% 48.93/6.54 inference(forward_demodulation,[status(thm)],[f5379,f5581])).
% 48.93/6.54 fof(f5590,plain,(
% 48.93/6.54 ~sk0_5(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_5(sk0_13(sk0_2,sk0_1,sk0_0))|~spl0_237|~spl0_236|spl0_241),
% 48.93/6.54 inference(forward_demodulation,[status(thm)],[f5392,f5589])).
% 48.93/6.54 fof(f5591,plain,(
% 48.93/6.54 $false|~spl0_237|~spl0_236|spl0_241),
% 48.93/6.54 inference(trivial_equality_resolution,[status(esa)],[f5590])).
% 48.93/6.54 fof(f5592,plain,(
% 48.93/6.54 ~spl0_237|~spl0_236|spl0_241),
% 48.93/6.54 inference(contradiction_clause,[status(thm)],[f5591])).
% 48.93/6.54 fof(f5629,plain,(
% 48.93/6.54 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)))=sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),cartesian_product2(sk0_1,sk0_2))|~spl0_225|~spl0_223),
% 48.93/6.54 inference(forward_demodulation,[status(thm)],[f4435,f4425])).
% 48.93/6.54 fof(f5630,plain,(
% 48.93/6.54 subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)))=sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)|~spl0_225|~spl0_223),
% 48.93/6.54 inference(forward_demodulation,[status(thm)],[f4435,f5629])).
% 48.93/6.54 fof(f7772,plain,(
% 48.93/6.54 ~in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,sk0_0))|spl0_192|~spl0_23),
% 48.93/6.54 inference(resolution,[status(thm)],[f4271,f705])).
% 48.93/6.54 fof(f7773,plain,(
% 48.93/6.54 ~spl0_142|spl0_192|~spl0_23),
% 48.93/6.54 inference(split_clause,[status(thm)],[f7772,f3206,f4269,f704])).
% 48.93/6.54 fof(f7794,plain,(
% 48.93/6.54 ordered_pair(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0))=sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))|spl0_147|~spl0_19),
% 48.93/6.54 inference(resolution,[status(thm)],[f3997,f598])).
% 48.93/6.54 fof(f7795,plain,(
% 48.93/6.54 spl0_148|spl0_147|~spl0_19),
% 48.93/6.54 inference(split_clause,[status(thm)],[f7794,f3965,f3962,f597])).
% 48.93/6.54 fof(f8008,plain,(
% 48.93/6.54 spl0_280 <=> sk0_3(cartesian_product2(sk0_1,sk0_2))=sk0_3(cartesian_product2(sk0_1,sk0_2))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f8010,plain,(
% 48.93/6.54 ~sk0_3(cartesian_product2(sk0_1,sk0_2))=sk0_3(cartesian_product2(sk0_1,sk0_2))|spl0_280),
% 48.93/6.54 inference(component_clause,[status(thm)],[f8008])).
% 48.93/6.54 fof(f8079,plain,(
% 48.93/6.54 $false|spl0_280),
% 48.93/6.54 inference(trivial_equality_resolution,[status(esa)],[f8010])).
% 48.93/6.54 fof(f8080,plain,(
% 48.93/6.54 spl0_280),
% 48.93/6.54 inference(contradiction_clause,[status(thm)],[f8079])).
% 48.93/6.54 fof(f8688,plain,(
% 48.93/6.54 in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,sk0_0))|sk0_5(sk0_13(sk0_2,sk0_1,sk0_0))=subset_complement(the_carrier(sk0_0),sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)))|~spl0_238),
% 48.93/6.54 inference(resolution,[status(thm)],[f5450,f151])).
% 48.93/6.54 fof(f8689,plain,(
% 48.93/6.54 spl0_142|spl0_237|~spl0_238),
% 48.93/6.54 inference(split_clause,[status(thm)],[f8688,f3206,f5391,f5449])).
% 48.93/6.54 fof(f8811,plain,(
% 48.93/6.54 ![X0,X1]: (~ordered_pair(X0,X1)=sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))|~in(X0,sk0_1)|subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(X1,X0,sk0_13(sk0_2,sk0_1,sk0_0))))=sk0_6(X1,X0,sk0_13(sk0_2,sk0_1,sk0_0))|~spl0_151)),
% 48.93/6.54 inference(resolution,[status(thm)],[f3983,f117])).
% 48.93/6.54 fof(f8831,plain,(
% 48.93/6.54 pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(sk0_1,sk0_0),sk0_10(sk0_1,sk0_0),sk0_1,sk0_0)|~spl0_33),
% 48.93/6.54 inference(forward_demodulation,[status(thm)],[f194,f3276])).
% 48.93/6.54 fof(f8832,plain,(
% 48.93/6.54 $false|spl0_14|~spl0_33),
% 48.93/6.54 inference(forward_subsumption_resolution,[status(thm)],[f8831,f557])).
% 48.93/6.54 fof(f8833,plain,(
% 48.93/6.54 spl0_14|~spl0_33),
% 48.93/6.54 inference(contradiction_clause,[status(thm)],[f8832])).
% 48.93/6.54 fof(f8929,plain,(
% 48.93/6.54 ordered_pair(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0))=sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))|~spl0_142|~spl0_19),
% 48.93/6.54 inference(resolution,[status(thm)],[f3207,f598])).
% 48.93/6.54 fof(f8930,plain,(
% 48.93/6.54 sk0_14(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))|~spl0_142|~spl0_15),
% 48.93/6.54 inference(resolution,[status(thm)],[f3207,f559])).
% 48.93/6.54 fof(f9391,plain,(
% 48.93/6.54 spl0_286 <=> ordered_pair(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)))=sk0_3(cartesian_product2(sk0_1,sk0_2))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f9392,plain,(
% 48.93/6.54 ordered_pair(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~spl0_286),
% 48.93/6.54 inference(component_clause,[status(thm)],[f9391])).
% 48.93/6.54 fof(f9393,plain,(
% 48.93/6.54 ~ordered_pair(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)))=sk0_3(cartesian_product2(sk0_1,sk0_2))|spl0_286),
% 48.93/6.54 inference(component_clause,[status(thm)],[f9391])).
% 48.93/6.54 fof(f9394,plain,(
% 48.93/6.54 ~ordered_pair(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_5(sk0_13(sk0_2,sk0_1,sk0_0)))=sk0_3(cartesian_product2(sk0_1,sk0_2))|~in(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_1)|element(sk0_4(sk0_13(sk0_2,sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))|~spl0_4|~spl0_190),
% 48.93/6.54 inference(paramodulation,[status(thm)],[f4229,f183])).
% 48.93/6.54 fof(f9395,plain,(
% 48.93/6.54 ~spl0_286|~spl0_147|spl0_238|~spl0_4|~spl0_190),
% 48.93/6.54 inference(split_clause,[status(thm)],[f9394,f9391,f3962,f5449,f182,f4228])).
% 48.93/6.54 fof(f9398,plain,(
% 48.93/6.54 ~sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|sk0_14(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))|spl0_286|~spl0_15),
% 48.93/6.54 inference(paramodulation,[status(thm)],[f611,f9393])).
% 48.93/6.54 fof(f9399,plain,(
% 48.93/6.54 ~spl0_157|spl0_139|spl0_286|~spl0_15),
% 48.93/6.54 inference(split_clause,[status(thm)],[f9398,f4063,f3187,f9391,f558])).
% 48.93/6.54 fof(f9479,plain,(
% 48.93/6.54 sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))=sk0_3(cartesian_product2(sk0_1,sk0_2))|sk0_14(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))|~spl0_286|~spl0_15),
% 48.93/6.54 inference(paramodulation,[status(thm)],[f611,f9392])).
% 48.93/6.54 fof(f9480,plain,(
% 48.93/6.54 spl0_157|spl0_139|~spl0_286|~spl0_15),
% 48.93/6.54 inference(split_clause,[status(thm)],[f9479,f4063,f3187,f9391,f558])).
% 48.93/6.54 fof(f10526,plain,(
% 48.93/6.54 subset_complement(cartesian_product2(sk0_7,sk0_8(sk0_8(sk0_7))),subset_complement(cartesian_product2(sk0_7,sk0_8(sk0_8(sk0_7))),sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_8(sk0_7))))))=sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_8(sk0_7))))|spl0_233),
% 48.93/6.54 inference(resolution,[status(thm)],[f5219,f55])).
% 48.93/6.54 fof(f10533,plain,(
% 48.93/6.54 spl0_328 <=> element(subset_complement(the_carrier(sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f10535,plain,(
% 48.93/6.54 ~element(subset_complement(the_carrier(sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))|spl0_328),
% 48.93/6.54 inference(component_clause,[status(thm)],[f10533])).
% 48.93/6.54 fof(f10536,plain,(
% 48.93/6.54 spl0_329 <=> element(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),powerset(the_carrier(sk0_0)))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f10537,plain,(
% 48.93/6.54 element(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),powerset(the_carrier(sk0_0)))|~spl0_329),
% 48.93/6.54 inference(component_clause,[status(thm)],[f10536])).
% 48.93/6.54 fof(f10539,plain,(
% 48.93/6.54 ~element(subset_complement(the_carrier(sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))|element(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),powerset(the_carrier(sk0_0)))|~spl0_225|~spl0_223),
% 48.93/6.54 inference(paramodulation,[status(thm)],[f5630,f121])).
% 48.93/6.54 fof(f10540,plain,(
% 48.93/6.54 ~spl0_328|spl0_329|~spl0_225|~spl0_223),
% 48.93/6.54 inference(split_clause,[status(thm)],[f10539,f10533,f10536,f4434,f4424])).
% 48.93/6.54 fof(f10541,plain,(
% 48.93/6.54 spl0_330 <=> sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=subset_complement(the_carrier(sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f10542,plain,(
% 48.93/6.54 sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=subset_complement(the_carrier(sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0))|~spl0_330),
% 48.93/6.54 inference(component_clause,[status(thm)],[f10541])).
% 48.93/6.54 fof(f10544,plain,(
% 48.93/6.54 ~one_sorted_str(sk0_0)|~element(sk0_1,powerset(powerset(the_carrier(sk0_0))))|pd0_0(sk0_12(sk0_1,sk0_0),sk0_11(sk0_1,sk0_0),sk0_10(sk0_1,sk0_0),sk0_1,sk0_0)|~in(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_13(sk0_2,sk0_1,sk0_0))|sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=subset_complement(the_carrier(sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0))|~spl0_329),
% 48.93/6.54 inference(resolution,[status(thm)],[f10537,f152])).
% 48.93/6.54 fof(f10545,plain,(
% 48.93/6.54 ~spl0_133|~spl0_6|spl0_14|~spl0_142|spl0_330|~spl0_329),
% 48.93/6.54 inference(split_clause,[status(thm)],[f10544,f2821,f199,f555,f3206,f10541,f10536])).
% 48.93/6.54 fof(f10598,plain,(
% 48.93/6.54 ~element(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),powerset(the_carrier(sk0_0)))|~spl0_330|spl0_328),
% 48.93/6.54 inference(backward_demodulation,[status(thm)],[f10542,f10535])).
% 48.93/6.54 fof(f10599,plain,(
% 48.93/6.54 spl0_331 <=> element(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),powerset(the_carrier(sk0_0)))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f10600,plain,(
% 48.93/6.54 element(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),powerset(the_carrier(sk0_0)))|~spl0_331),
% 48.93/6.54 inference(component_clause,[status(thm)],[f10599])).
% 48.93/6.54 fof(f10602,plain,(
% 48.93/6.54 ~element(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),powerset(the_carrier(sk0_0)))|element(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),powerset(the_carrier(sk0_0)))|~spl0_330),
% 48.93/6.54 inference(paramodulation,[status(thm)],[f10542,f121])).
% 48.93/6.54 fof(f10603,plain,(
% 48.93/6.54 ~spl0_329|spl0_331|~spl0_330),
% 48.93/6.54 inference(split_clause,[status(thm)],[f10602,f10536,f10599,f10541])).
% 48.93/6.54 fof(f10656,plain,(
% 48.93/6.54 spl0_332 <=> sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_13(sk0_2,sk0_1,sk0_0)))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f10658,plain,(
% 48.93/6.54 ~sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_13(sk0_2,sk0_1,sk0_0)))|spl0_332),
% 48.93/6.54 inference(component_clause,[status(thm)],[f10656])).
% 48.93/6.54 fof(f10659,plain,(
% 48.93/6.54 ~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|~sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_13(sk0_2,sk0_1,sk0_0)))|~spl0_148|~spl0_152),
% 48.93/6.54 inference(resolution,[status(thm)],[f3966,f3988])).
% 48.93/6.54 fof(f10660,plain,(
% 48.93/6.54 ~spl0_192|~spl0_332|~spl0_148|~spl0_152),
% 48.93/6.54 inference(split_clause,[status(thm)],[f10659,f4269,f10656,f3965,f3987])).
% 48.93/6.54 fof(f10661,plain,(
% 48.93/6.54 spl0_333 <=> sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_13(sk0_2,sk0_1,sk0_0))=sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f10662,plain,(
% 48.93/6.54 sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_13(sk0_2,sk0_1,sk0_0))=sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)|~spl0_333),
% 48.93/6.54 inference(component_clause,[status(thm)],[f10661])).
% 48.93/6.54 fof(f10664,plain,(
% 48.93/6.54 ~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_13(sk0_2,sk0_1,sk0_0))=sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)|~spl0_148|~spl0_153),
% 48.93/6.54 inference(resolution,[status(thm)],[f3966,f3993])).
% 48.93/6.54 fof(f10665,plain,(
% 48.93/6.54 ~spl0_192|spl0_333|~spl0_148|~spl0_153),
% 48.93/6.54 inference(split_clause,[status(thm)],[f10664,f4269,f10661,f3965,f3992])).
% 48.93/6.54 fof(f10750,plain,(
% 48.93/6.54 spl0_139|~spl0_142|~spl0_15),
% 48.93/6.54 inference(split_clause,[status(thm)],[f8930,f3187,f3206,f558])).
% 48.93/6.54 fof(f10752,plain,(
% 48.93/6.54 ~sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=subset_complement(the_carrier(sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0))|~spl0_333|spl0_332),
% 48.93/6.54 inference(backward_demodulation,[status(thm)],[f10662,f10658])).
% 48.93/6.54 fof(f10894,plain,(
% 48.93/6.54 spl0_334 <=> element(subset_complement(cartesian_product2(sk0_7,sk0_8(sk0_8(sk0_7))),sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_8(sk0_7))))),powerset(cartesian_product2(sk0_7,sk0_8(sk0_8(sk0_7)))))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f10896,plain,(
% 48.93/6.54 ~element(subset_complement(cartesian_product2(sk0_7,sk0_8(sk0_8(sk0_7))),sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_8(sk0_7))))),powerset(cartesian_product2(sk0_7,sk0_8(sk0_8(sk0_7)))))|spl0_334),
% 48.93/6.54 inference(component_clause,[status(thm)],[f10894])).
% 48.93/6.54 fof(f10897,plain,(
% 48.93/6.54 spl0_335 <=> element(sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_8(sk0_7)))),powerset(cartesian_product2(sk0_7,sk0_8(sk0_8(sk0_7)))))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f10900,plain,(
% 48.93/6.54 ~element(subset_complement(cartesian_product2(sk0_7,sk0_8(sk0_8(sk0_7))),sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_8(sk0_7))))),powerset(cartesian_product2(sk0_7,sk0_8(sk0_8(sk0_7)))))|element(sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_8(sk0_7)))),powerset(cartesian_product2(sk0_7,sk0_8(sk0_8(sk0_7)))))|spl0_233),
% 48.93/6.54 inference(paramodulation,[status(thm)],[f10526,f121])).
% 48.93/6.54 fof(f10901,plain,(
% 48.93/6.54 ~spl0_334|spl0_335|spl0_233),
% 48.93/6.54 inference(split_clause,[status(thm)],[f10900,f10894,f10897,f4975])).
% 48.93/6.54 fof(f10954,plain,(
% 48.93/6.54 ~element(sk0_8(cartesian_product2(sk0_7,sk0_8(sk0_8(sk0_7)))),powerset(cartesian_product2(sk0_7,sk0_8(sk0_8(sk0_7)))))|spl0_334),
% 48.93/6.54 inference(resolution,[status(thm)],[f10896,f121])).
% 48.93/6.54 fof(f10957,plain,(
% 48.93/6.54 empty(cartesian_product2(sk0_7,sk0_8(sk0_8(sk0_7))))|spl0_334),
% 48.93/6.54 inference(resolution,[status(thm)],[f10954,f109])).
% 48.93/6.54 fof(f10958,plain,(
% 48.93/6.54 spl0_336 <=> empty(sk0_8(sk0_8(sk0_7)))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f10959,plain,(
% 48.93/6.54 empty(sk0_8(sk0_8(sk0_7)))|~spl0_336),
% 48.93/6.54 inference(component_clause,[status(thm)],[f10958])).
% 48.93/6.54 fof(f10960,plain,(
% 48.93/6.54 ~empty(sk0_8(sk0_8(sk0_7)))|spl0_336),
% 48.93/6.54 inference(component_clause,[status(thm)],[f10958])).
% 48.93/6.54 fof(f10961,plain,(
% 48.93/6.54 empty(sk0_7)|empty(sk0_8(sk0_8(sk0_7)))|spl0_334),
% 48.93/6.54 inference(resolution,[status(thm)],[f10957,f112])).
% 48.93/6.54 fof(f10962,plain,(
% 48.93/6.54 spl0_230|spl0_336|spl0_334),
% 48.93/6.54 inference(split_clause,[status(thm)],[f10961,f4837,f10958,f10894])).
% 48.93/6.54 fof(f10968,plain,(
% 48.93/6.54 empty(sk0_8(sk0_7))|~spl0_336),
% 48.93/6.54 inference(resolution,[status(thm)],[f10959,f110])).
% 48.93/6.54 fof(f10969,plain,(
% 48.93/6.54 spl0_233|~spl0_336),
% 48.93/6.54 inference(split_clause,[status(thm)],[f10968,f4975,f10958])).
% 48.93/6.54 fof(f10986,plain,(
% 48.93/6.54 subset_complement(cartesian_product2(sk0_8(sk0_8(sk0_7)),sk0_7),subset_complement(cartesian_product2(sk0_8(sk0_8(sk0_7)),sk0_7),sk0_8(cartesian_product2(sk0_8(sk0_8(sk0_7)),sk0_7))))=sk0_8(cartesian_product2(sk0_8(sk0_8(sk0_7)),sk0_7))|spl0_336),
% 48.93/6.54 inference(resolution,[status(thm)],[f10960,f1794])).
% 48.93/6.54 fof(f11126,plain,(
% 48.93/6.54 spl0_338 <=> element(subset_complement(cartesian_product2(sk0_8(sk0_8(sk0_7)),sk0_7),sk0_8(cartesian_product2(sk0_8(sk0_8(sk0_7)),sk0_7))),powerset(cartesian_product2(sk0_8(sk0_8(sk0_7)),sk0_7)))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f11128,plain,(
% 48.93/6.54 ~element(subset_complement(cartesian_product2(sk0_8(sk0_8(sk0_7)),sk0_7),sk0_8(cartesian_product2(sk0_8(sk0_8(sk0_7)),sk0_7))),powerset(cartesian_product2(sk0_8(sk0_8(sk0_7)),sk0_7)))|spl0_338),
% 48.93/6.54 inference(component_clause,[status(thm)],[f11126])).
% 48.93/6.54 fof(f11129,plain,(
% 48.93/6.54 spl0_339 <=> element(sk0_8(cartesian_product2(sk0_8(sk0_8(sk0_7)),sk0_7)),powerset(cartesian_product2(sk0_8(sk0_8(sk0_7)),sk0_7)))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f11132,plain,(
% 48.93/6.54 ~element(subset_complement(cartesian_product2(sk0_8(sk0_8(sk0_7)),sk0_7),sk0_8(cartesian_product2(sk0_8(sk0_8(sk0_7)),sk0_7))),powerset(cartesian_product2(sk0_8(sk0_8(sk0_7)),sk0_7)))|element(sk0_8(cartesian_product2(sk0_8(sk0_8(sk0_7)),sk0_7)),powerset(cartesian_product2(sk0_8(sk0_8(sk0_7)),sk0_7)))|spl0_336),
% 48.93/6.54 inference(paramodulation,[status(thm)],[f10986,f121])).
% 48.93/6.54 fof(f11133,plain,(
% 48.93/6.54 ~spl0_338|spl0_339|spl0_336),
% 48.93/6.54 inference(split_clause,[status(thm)],[f11132,f11126,f11129,f10958])).
% 48.93/6.54 fof(f11186,plain,(
% 48.93/6.54 ~element(sk0_8(cartesian_product2(sk0_8(sk0_8(sk0_7)),sk0_7)),powerset(cartesian_product2(sk0_8(sk0_8(sk0_7)),sk0_7)))|spl0_338),
% 48.93/6.54 inference(resolution,[status(thm)],[f11128,f121])).
% 48.93/6.54 fof(f11189,plain,(
% 48.93/6.54 empty(cartesian_product2(sk0_8(sk0_8(sk0_7)),sk0_7))|spl0_338),
% 48.93/6.54 inference(resolution,[status(thm)],[f11186,f109])).
% 48.93/6.54 fof(f11190,plain,(
% 48.93/6.54 empty(sk0_8(sk0_8(sk0_7)))|empty(sk0_7)|spl0_338),
% 48.93/6.54 inference(resolution,[status(thm)],[f11189,f112])).
% 48.93/6.54 fof(f11191,plain,(
% 48.93/6.54 spl0_336|spl0_230|spl0_338),
% 48.93/6.54 inference(split_clause,[status(thm)],[f11190,f10958,f4837,f11126])).
% 48.93/6.54 fof(f11419,plain,(
% 48.93/6.54 spl0_344 <=> subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_13(sk0_2,sk0_1,sk0_0))))=sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_13(sk0_2,sk0_1,sk0_0))),
% 48.93/6.54 introduced(split_symbol_definition)).
% 48.93/6.54 fof(f11422,plain,(
% 48.93/6.54 ~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|subset_complement(the_carrier(sk0_0),subset_complement(the_carrier(sk0_0),sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_13(sk0_2,sk0_1,sk0_0))))=sk0_6(sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_13(sk0_2,sk0_1,sk0_0))|~spl0_151|~spl0_148),
% 48.93/6.54 inference(resolution,[status(thm)],[f8811,f3966])).
% 48.93/6.54 fof(f11423,plain,(
% 48.93/6.54 ~spl0_192|spl0_344|~spl0_151|~spl0_148),
% 48.93/6.54 inference(split_clause,[status(thm)],[f11422,f4269,f11419,f3982,f3965])).
% 48.93/6.54 fof(f11455,plain,(
% 48.93/6.54 $false|~spl0_331|~spl0_330|spl0_328),
% 48.93/6.54 inference(forward_subsumption_resolution,[status(thm)],[f10598,f10600])).
% 48.93/6.54 fof(f11456,plain,(
% 48.93/6.54 ~spl0_331|~spl0_330|spl0_328),
% 48.93/6.54 inference(contradiction_clause,[status(thm)],[f11455])).
% 48.93/6.54 fof(f14667,plain,(
% 48.93/6.54 ~ordered_pair(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_16(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0))=sk0_3(sk0_13(sk0_2,sk0_1,sk0_0))|~in(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_1)|element(sk0_15(sk0_3(sk0_13(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),powerset(the_carrier(sk0_0)))|~spl0_151|~spl0_333),
% 48.93/6.54 inference(paramodulation,[status(thm)],[f10662,f3983])).
% 48.93/6.54 fof(f14668,plain,(
% 48.93/6.54 ~spl0_148|~spl0_192|spl0_329|~spl0_151|~spl0_333),
% 48.93/6.54 inference(split_clause,[status(thm)],[f14667,f3965,f4269,f10536,f3982,f10661])).
% 48.93/6.54 fof(f14669,plain,(
% 48.93/6.54 $false|~spl0_333|spl0_332|~spl0_330),
% 48.93/6.54 inference(forward_subsumption_resolution,[status(thm)],[f10542,f10752])).
% 48.93/6.54 fof(f14670,plain,(
% 48.93/6.54 ~spl0_333|spl0_332|~spl0_330),
% 48.93/6.54 inference(contradiction_clause,[status(thm)],[f14669])).
% 48.93/6.54 fof(f14671,plain,(
% 48.93/6.54 spl0_148|~spl0_142|~spl0_19),
% 48.93/6.54 inference(split_clause,[status(thm)],[f8929,f3965,f3206,f597])).
% 48.93/6.54 fof(f14678,plain,(
% 48.93/6.54 $false),
% 48.93/6.54 inference(sat_refutation,[status(thm)],[f172,f174,f179,f186,f203,f206,f534,f545,f562,f564,f572,f580,f585,f590,f601,f609,f692,f697,f708,f720,f741,f765,f774,f779,f784,f844,f939,f948,f1087,f1138,f1147,f1257,f1261,f1381,f1398,f1409,f1416,f1419,f1447,f1452,f1454,f1514,f1549,f1554,f1675,f1686,f1883,f1900,f2031,f2054,f2324,f2326,f2328,f2647,f2828,f2830,f3175,f3180,f3191,f3193,f3201,f3213,f3218,f3906,f3935,f3937,f3941,f3947,f3986,f3991,f3996,f3999,f4232,f4273,f4278,f4283,f4288,f4293,f4298,f4303,f4308,f4313,f4318,f4323,f4328,f4333,f4338,f4343,f4348,f4353,f4358,f4363,f4368,f4373,f4378,f4383,f4388,f4393,f4398,f4403,f4408,f4413,f4418,f4423,f4428,f4433,f4438,f4445,f4533,f4675,f4816,f4841,f4848,f4960,f4979,f4986,f5357,f5359,f5377,f5382,f5395,f5578,f5583,f5592,f7773,f7795,f8080,f8689,f8833,f9395,f9399,f9480,f10540,f10545,f10603,f10660,f10665,f10750,f10901,f10962,f10969,f11133,f11191,f11423,f11456,f14668,f14670,f14671])).
% 49.65/6.63 % SZS output end CNFRefutation for theBenchmark.p
% 50.96/7.81 % Elapsed time: 7.236541 seconds
% 50.96/7.81 % CPU time: 46.702728 seconds
% 50.96/7.81 % Total memory used: 718.961 MB
% 50.96/7.81 % Net memory used: 711.803 MB
%------------------------------------------------------------------------------