% Mizar problem: t12_nomin_5,nomin_5,953,7 
fof(t12_nomin_5, conjecture,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, A) & v1_funct_1(D)) )  =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_nomin_4(A, B) &  (! [F] :  (m2_nomin_1(F, A, B) =>  (r4_nomin_4(A, B, F, k7_partfun1(A, D, 1)) & r4_nomin_4(A, B, F, k7_partfun1(A, D, 3))) ) ) )  =>  (v1_xboole_0(A) | m1_subset_1(k11_finseq_1(k6_partpr_1(k3_nomin_1(A, B), k5_nomin_4(A, B, k7_partfun1(A, D, 1), k7_partfun1(A, D, 3)), k16_nomin_5(A, B, D, E)), k6_nomin_2(A, B, C, k18_nomin_1(A, B, k7_partfun1(A, D, 4))), k15_nomin_5(A, B, C, E)), k1_nomin_3(k3_nomin_1(A, B)))) ) ) ) ) ) ) ) ) ) ).
fof(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(B, A)) ) ) ).
fof(asymmetry_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) =>  ~ (r2_tarski(B, A)) ) ) ).
fof(cc10_ordinal1, axiom,  (! [A] :  (v6_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_ordinal1(B)) ) ) ) ).
fof(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc15_ordinal1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v9_ordinal1(A)) ) ) ).
fof(cc16_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc17_ordinal1, axiom,  (! [A] :  ( ~ (v10_ordinal1(A))  => v1_setfam_1(A)) ) ).
fof(cc18_ordinal1, axiom,  (! [A] :  (v10_ordinal1(A) =>  ~ (v1_setfam_1(A)) ) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc1_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v3_ordinal1(A) & v7_ordinal1(A)) ) ) ).
fof(cc1_nomin_1, axiom,  (! [A, B] :  (! [C] :  (m1_nomin_1(C, A, B) => v1_finset_1(C)) ) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc1_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_relat_1(C)) ) ) ).
fof(cc1_xcmplx_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xcmplx_0(A)) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc2_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(cc3_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc3_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_ordinal1(A)) ) ).
fof(cc3_relset_1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_xboole_0(C)) ) ) ) ).
fof(cc4_nat_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (v7_ordinal1(A) &  ~ (v2_xxreal_0(A)) ) ) ) ).
fof(cc4_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_ordinal1(A)) ) ).
fof(cc4_relset_1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A))) => v1_xboole_0(C)) ) ) ) ).
fof(cc5_nat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v8_ordinal1(A)) ) ).
fof(cc5_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(B)) ) ) ) ).
fof(cc6_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc6_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_ordinal1(A)) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(commutativity_k5_partpr_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  => k5_partpr_1(A, B, C)=k5_partpr_1(A, C, B)) ) ).
fof(commutativity_k6_partpr_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  => k6_partpr_1(A, B, C)=k6_partpr_1(A, C, B)) ) ).
fof(d10_nomin_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) => k5_nomin_4(A, B, C, D)=k2_nomin_4(A, B, C, D, k4_nomin_4(B))) ) ) ) ) ) ).
fof(d12_nomin_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k5_margrel1))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B)))))  => k10_nomin_2(A, B, C, D, E)=k1_binop_1(k9_nomin_2(A, B, C), D, E)) ) ) ) ) ) ) ).
fof(d1_binop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] : k1_binop_1(A, B, C)=k1_funct_1(A, k4_tarski(B, C))) ) ) ) ).
fof(d1_partpr_1, axiom,  (! [A] : k1_partpr_1(A)=k4_partfun1(A, k5_margrel1)) ).
fof(d2_nomin_4, axiom,  (! [A] :  (! [B] : k1_nomin_4(A, B)=a_2_0_nomin_4(A, B)) ) ).
fof(d2_partpr_2, axiom,  (! [A] : k2_partpr_2(A)=k3_rfunct_3(A, A)) ).
fof(d3_nomin_4, axiom,  (! [A] :  (! [B] :  (r1_nomin_4(A, B) <=> r1_xboole_0(B, k1_nomin_4(A, B))) ) ) ).
fof(d3_partpr_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k3_partpr_1(A, B)=k1_funct_1(k2_partpr_1(A), B)) ) ) ).
fof(d5_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k5_partpr_1(A, B, C)=k1_binop_1(k4_partpr_1(A), B, C)) ) ) ) ) ) ).
fof(d6_nomin_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (m2_nomin_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, A) =>  (r4_nomin_4(A, B, C, D) <=> r2_tarski(k1_funct_1(k18_nomin_1(A, B, D), C), B)) ) ) ) ) ) ) ).
fof(d6_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k6_partpr_1(A, B, C)=k3_partpr_1(A, k5_partpr_1(A, k3_partpr_1(A, B), k3_partpr_1(A, C)))) ) ) ) ) ) ).
fof(d7_nomin_1, axiom,  (! [A] :  (! [B] : k3_nomin_1(A, B)=a_2_1_nomin_1(A, B)) ) ).
fof(d7_nomin_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, B), k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), k5_margrel1)))) )  => k2_nomin_4(A, B, C, D, E)=k3_relat_1(k13_funct_3(k18_nomin_1(A, B, C), k18_nomin_1(A, B, D)), E)) ) ) ) ) ) ) ) ).
fof(d8_nomin_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B)))))  => k6_nomin_2(A, B, C, D)=k1_funct_1(k5_nomin_2(A, B, C), D)) ) ) ) ) ).
fof(dt_k10_nomin_2, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k5_margrel1))))  &  (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B))))) )  =>  (v1_funct_1(k10_nomin_2(A, B, C, D, E)) & m1_subset_1(k10_nomin_2(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k5_margrel1)))) ) ) ).
fof(dt_k11_finseq_1, axiom, $true).
fof(dt_k13_funct_3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k13_funct_3(A, B)) & v1_funct_1(k13_funct_3(A, B))) ) ) ).
fof(dt_k15_nomin_5, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, A) & v7_ordinal1(D))  =>  (v1_funct_1(k15_nomin_5(A, B, C, D)) & m1_subset_1(k15_nomin_5(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k5_margrel1)))) ) ) ).
fof(dt_k16_nomin_5, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) )  & v7_ordinal1(D))  =>  (v1_funct_1(k16_nomin_5(A, B, C, D)) & m1_subset_1(k16_nomin_5(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k5_margrel1)))) ) ) ).
fof(dt_k18_nomin_1, axiom,  (! [A, B, C] :  (v1_funct_1(k18_nomin_1(A, B, C)) & m1_subset_1(k18_nomin_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B))))) ) ).
fof(dt_k1_binop_1, axiom, $true).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_nomin_3, axiom, $true).
fof(dt_k1_nomin_4, axiom, $true).
fof(dt_k1_partpr_1, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_nomin_4, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(C, A) &  (m1_subset_1(D, A) &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, B), k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), k5_margrel1)))) ) ) )  =>  (v1_funct_1(k2_nomin_4(A, B, C, D, E)) & m1_subset_1(k2_nomin_4(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k5_margrel1)))) ) ) ).
fof(dt_k2_partpr_1, axiom,  (! [A] :  (v1_funct_1(k2_partpr_1(A)) &  (v1_funct_2(k2_partpr_1(A), k1_partpr_1(A), k1_partpr_1(A)) & m1_subset_1(k2_partpr_1(A), k1_zfmisc_1(k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A))))) ) ) ).
fof(dt_k2_partpr_2, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_nomin_1, axiom, $true).
fof(dt_k3_partpr_1, axiom,  (! [A, B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (v1_funct_1(k3_partpr_1(A, B)) & m1_subset_1(k3_partpr_1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ).
fof(dt_k3_relat_1, axiom,  (! [A, B] : v1_relat_1(k3_relat_1(A, B))) ).
fof(dt_k3_rfunct_3, axiom,  (! [A, B] : m1_rfunct_3(k3_rfunct_3(A, B), A, B)) ).
fof(dt_k4_nomin_4, axiom,  (! [A] :  (v1_funct_1(k4_nomin_4(A)) &  (v1_funct_2(k4_nomin_4(A), k2_zfmisc_1(A, A), k5_margrel1) & m1_subset_1(k4_nomin_4(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k5_margrel1)))) ) ) ).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_partfun1, axiom, $true).
fof(dt_k4_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k4_partpr_1(A)) &  (v1_funct_2(k4_partpr_1(A), k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A)), k1_partpr_1(A)) & m1_subset_1(k4_partpr_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A)), k1_partpr_1(A))))) ) ) ) ).
fof(dt_k4_tarski, axiom, $true).
fof(dt_k5_margrel1, axiom, $true).
fof(dt_k5_nomin_2, axiom,  (! [A, B, C] :  (v1_funct_1(k5_nomin_2(A, B, C)) &  (v1_funct_2(k5_nomin_2(A, B, C), k2_partpr_2(k3_nomin_1(A, B)), k2_partpr_2(k3_nomin_1(A, B))) & m1_subset_1(k5_nomin_2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_partpr_2(k3_nomin_1(A, B)), k2_partpr_2(k3_nomin_1(A, B)))))) ) ) ).
fof(dt_k5_nomin_4, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, A) & m1_subset_1(D, A))  =>  (v1_funct_1(k5_nomin_4(A, B, C, D)) & m1_subset_1(k5_nomin_4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k5_margrel1)))) ) ) ).
fof(dt_k5_partpr_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  =>  (v1_funct_1(k5_partpr_1(A, B, C)) & m1_subset_1(k5_partpr_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ).
fof(dt_k6_nomin_2, axiom,  (! [A, B, C, D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B)))))  =>  (v1_funct_1(k6_nomin_2(A, B, C, D)) & m1_subset_1(k6_nomin_2(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B))))) ) ) ).
fof(dt_k6_partpr_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  =>  (v1_funct_1(k6_partpr_1(A, B, C)) & m1_subset_1(k6_partpr_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ).
fof(dt_k7_partfun1, axiom,  (! [A, B, C] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  => m1_subset_1(k7_partfun1(A, B, C), A)) ) ).
fof(dt_k9_nomin_2, axiom,  (! [A, B, C] :  (v1_funct_1(k9_nomin_2(A, B, C)) &  (v1_funct_2(k9_nomin_2(A, B, C), k2_zfmisc_1(k1_partpr_1(k3_nomin_1(A, B)), k2_partpr_2(k3_nomin_1(A, B))), k1_partpr_1(k3_nomin_1(A, B))) & m1_subset_1(k9_nomin_2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_partpr_1(k3_nomin_1(A, B)), k2_partpr_2(k3_nomin_1(A, B))), k1_partpr_1(k3_nomin_1(A, B)))))) ) ) ).
fof(dt_m1_nomin_1, axiom,  (! [A, B] :  (! [C] :  (m1_nomin_1(C, A, B) =>  (v1_relat_1(C) & v1_funct_1(C)) ) ) ) ).
fof(dt_m1_rfunct_3, axiom, $true).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_m2_nomin_1, axiom, $true).
fof(dt_m3_nomin_1, axiom,  (! [A, B] :  (! [C] :  (m3_nomin_1(C, A, B) =>  (v1_relat_1(C) &  (v1_funct_1(C) & m2_nomin_1(C, A, B)) ) ) ) ) ).
fof(existence_m1_nomin_1, axiom,  (! [A, B] :  (? [C] : m1_nomin_1(C, A, B)) ) ).
fof(existence_m1_rfunct_3, axiom,  (! [A, B] :  (? [C] : m1_rfunct_3(C, A, B)) ) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(existence_m2_nomin_1, axiom,  (! [A, B] :  (? [C] : m2_nomin_1(C, A, B)) ) ).
fof(existence_m3_nomin_1, axiom,  (! [A, B] :  (? [C] : m3_nomin_1(C, A, B)) ) ).
fof(fc12_ordinal1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v9_ordinal1(A))  & v1_relat_1(B))  =>  (v1_relat_1(k3_relat_1(B, A)) & v9_ordinal1(k3_relat_1(B, A))) ) ) ).
fof(fc13_nomin_2, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B)))))  &  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B)))))  &  (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B))))) ) )  => v1_nomin_2(k11_finseq_1(C, D, E), A, B)) ) ).
fof(fc15_nomin_2, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B)))))  & m1_nomin_1(E, A, B))  =>  (v1_relat_1(k1_funct_1(k6_nomin_2(A, B, D, C), E)) & v1_funct_1(k1_funct_1(k6_nomin_2(A, B, D, C), E))) ) ) ).
fof(fc2_nomin_5, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) )  & v7_ordinal1(D))  =>  (v1_funct_1(k16_nomin_5(A, B, C, D)) & v1_partfun1(k16_nomin_5(A, B, C, D), k3_nomin_1(A, B))) ) ) ).
fof(fc3_nomin_2, axiom,  (! [A, B] :  ~ (v1_setfam_1(k3_nomin_1(A, B))) ) ).
fof(fc5_nomin_1, axiom,  (! [A, B] :  ~ (v1_xboole_0(k3_nomin_1(A, B))) ) ).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc8_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) ) )  =>  (v1_relat_1(k3_relat_1(A, C)) &  (v4_relat_1(k3_relat_1(A, C), k4_ordinal1) &  (v5_relat_1(k3_relat_1(A, C), B) & v1_funct_1(k3_relat_1(A, C))) ) ) ) ) ).
fof(fc9_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) ) )  =>  (v1_relat_1(k3_relat_1(A, C)) & v1_partfun1(k3_relat_1(A, C), k4_ordinal1)) ) ) ).
fof(fraenkel_a_2_0_nomin_4, axiom,  (! [A, B, C] :  (r2_hidden(A, a_2_0_nomin_4(B, C)) <=>  (? [D] :  (m3_nomin_1(D, B, C) & A=D) ) ) ) ).
fof(fraenkel_a_2_1_nomin_1, axiom,  (! [A, B, C] :  (r2_hidden(A, a_2_1_nomin_1(B, C)) <=>  (? [D] :  (m2_nomin_1(D, B, C) & A=D) ) ) ) ).
fof(idempotence_k5_partpr_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  => k5_partpr_1(A, B, B)=B) ) ).
fof(idempotence_k6_partpr_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  => k6_partpr_1(A, B, B)=B) ) ).
fof(involutiveness_k3_partpr_1, axiom,  (! [A, B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k3_partpr_1(A, k3_partpr_1(A, B))=B) ) ).
fof(rc10_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
fof(rc12_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) & v9_ordinal1(A)) ) ).
fof(rc13_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) &  ~ (v9_ordinal1(A)) ) ) ).
fof(rc1_nat_1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc1_nomin_1, axiom,  (! [A, B] :  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) ) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
fof(rc1_relset_1, axiom,  (! [A, B] :  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ) ) ).
fof(rc1_xcmplx_0, axiom,  (? [A] : v1_xcmplx_0(A)) ).
fof(rc2_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) & v8_ordinal1(A)) ) ).
fof(rc2_nomin_1, axiom,  (! [A, B] :  (? [C] :  (m2_nomin_1(C, A, B) &  (v1_relat_1(C) & v1_funct_1(C)) ) ) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_xcmplx_0, axiom,  (? [A] : v1_xcmplx_0(A)) ).
fof(rc3_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(rc3_xcmplx_0, axiom,  (? [A] :  (v8_ordinal1(A) & v1_xcmplx_0(A)) ) ).
fof(rc4_ordinal1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v5_ordinal1(B)) ) ) ) ) ).
fof(rc4_xcmplx_0, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A)) ) ).
fof(rc5_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc5_xcmplx_0, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A)) ) ).
fof(rc6_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc7_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc9_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(redefinition_k3_rfunct_3, axiom,  (! [A, B] : k3_rfunct_3(A, B)=k4_partfun1(A, B)) ).
fof(redefinition_m3_nomin_1, axiom,  (! [A, B] :  (! [C] :  (m3_nomin_1(C, A, B) <=> m1_nomin_1(C, A, B)) ) ) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(reflexivity_r3_nomin_3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r3_nomin_3(A, B, B)) ) ).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc3_boole, axiom,  ~ (v1_xboole_0(3)) ).
fof(spc3_numerals, axiom,  (v2_xxreal_0(3) & m1_subset_1(3, k4_ordinal1)) ).
fof(spc4_boole, axiom,  ~ (v1_xboole_0(4)) ).
fof(spc4_numerals, axiom,  (v2_xxreal_0(4) & m1_subset_1(4, k4_ordinal1)) ).
fof(symmetry_r1_xboole_0, axiom,  (! [A, B] :  (r1_xboole_0(A, B) => r1_xboole_0(B, A)) ) ).
fof(t11_nomin_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, A) & v1_funct_1(D)) )  =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_nomin_4(A, B) &  (! [F] :  (m2_nomin_1(F, A, B) =>  (r4_nomin_4(A, B, F, k7_partfun1(A, D, 1)) & r4_nomin_4(A, B, F, k7_partfun1(A, D, 3))) ) ) )  =>  (v1_xboole_0(A) | r3_nomin_3(k3_nomin_1(A, B), k6_partpr_1(k3_nomin_1(A, B), k5_nomin_4(A, B, k7_partfun1(A, D, 1), k7_partfun1(A, D, 3)), k16_nomin_5(A, B, D, E)), k10_nomin_2(A, B, C, k15_nomin_5(A, B, C, E), k18_nomin_1(A, B, k7_partfun1(A, D, 4))))) ) ) ) ) ) ) ) ) ) ).
fof(t15_nomin_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  ( (m1_subset_1(k11_finseq_1(C, B, D), k1_nomin_3(A)) & r3_nomin_3(A, E, C))  => m1_subset_1(k11_finseq_1(E, B, D), k1_nomin_3(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0, k4_ordinal1)).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t29_nomin_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(B, C), k5_margrel1))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(B, C), k3_nomin_1(B, C)))))  => m1_subset_1(k11_finseq_1(k10_nomin_2(B, C, A, D, E), k6_nomin_2(B, C, A, E), D), k1_nomin_3(k3_nomin_1(B, C)))) ) ) ) ) ) ) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t2_tarski, axiom,  (! [A] :  (! [B] :  ( (! [C] :  (r2_hidden(C, A) <=> r2_hidden(C, B)) )  => A=B) ) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t4_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(A, B) & m1_subset_1(B, k1_zfmisc_1(C)))  => m1_subset_1(A, C)) ) ) ) ).
fof(t5_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r2_tarski(A, B) &  (m1_subset_1(B, k1_zfmisc_1(C)) & v1_xboole_0(C)) ) ) ) ) ) ).
fof(t6_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
