% Mizar problem: t11_scmpds_2,scmpds_2,218,5 
fof(t11_scmpds_2, conjecture,  (! [A] :  (! [B] :  (m2_subset_1(B, k1_ami_2, k2_ami_2) =>  (! [C] :  (m2_subset_1(C, k1_ami_2, k2_ami_2) =>  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v1_int_1(E) =>  (r2_tarski(A, k3_enumset1(9, 10, 11, 12, 13)) => r2_hidden(k3_xtuple_0(A, k1_xboole_0, k7_finseq_4(B, C, D, E)), k1_scmpds_i)) ) ) ) ) ) ) ) ) ) ).
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_card_3, axiom,  (! [A] :  ( ~ (v4_card_3(A))  =>  ~ (v1_xboole_0(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_card_3, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) ) ) ) ).
fof(cc1_compos_0, axiom,  (! [A] :  (v1_compos_0(A) => v1_relat_1(A)) ) ).
fof(cc1_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_funct_1(A)) ) ).
fof(cc1_int_1, axiom,  (! [A] :  (m1_subset_1(A, k4_numbers) => v1_int_1(A)) ) ).
fof(cc1_measure6, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ( (v6_ordinal1(B) &  ( ~ (v1_xboole_0(B))  & v1_setfam_1(B)) )  => v3_finset_1(B)) ) ) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc1_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_relat_1(A)) ) ).
fof(cc1_setfam_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_setfam_1(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(cc1_xtuple_0, axiom,  (! [A] :  (v2_xtuple_0(A) => v1_xtuple_0(A)) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc2_compos_0, axiom,  (! [A] :  (v5_compos_0(A) =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc2_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funcop_1(A)) ) ) ) ).
fof(cc2_funct_1, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ) ).
fof(cc2_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_int_1(A)) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_relat_1(B)) ) ) ) ).
fof(cc2_setfam_1, axiom,  (! [A] :  ( ~ (v2_setfam_1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc2_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
fof(cc3_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) ) ) ).
fof(cc3_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_funct_1(B)) ) ) ) ).
fof(cc3_int_1, axiom,  (! [A] :  (v1_int_1(A) => v1_xreal_0(A)) ) ).
fof(cc3_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_ordinal1(A)) ) ).
fof(cc3_relat_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v3_relat_1(A)) ) ) ).
fof(cc3_setfam_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_setfam_1(A))  =>  ~ (v2_setfam_1(A)) ) ) ).
fof(cc3_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xcmplx_0(A)) ) ).
fof(cc4_card_3, axiom,  (! [A] :  (v5_card_3(A) =>  ( ~ (v1_finset_1(A))  & v4_card_3(A)) ) ) ).
fof(cc4_funct_1, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) ) ) ) ).
fof(cc4_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v2_int_1(A)) ) ).
fof(cc4_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_ordinal1(A)) ) ).
fof(cc4_relat_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_relat_1(A)) ) ) ).
fof(cc4_setfam_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v2_setfam_1(A)) ) ) ).
fof(cc4_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xxreal_0(A)) ) ).
fof(cc5_card_3, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v4_card_3(A))  => v5_card_3(A)) ) ).
fof(cc5_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) )  =>  ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) & v1_funct_1(A)) ) ) ) ).
fof(cc5_int_1, axiom,  (! [A] :  (v2_int_1(A) => v1_int_1(A)) ) ).
fof(cc5_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(B)) ) ) ) ).
fof(cc6_card_3, axiom,  (! [A] :  (v1_finset_1(A) => v4_card_3(A)) ) ).
fof(cc6_funct_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) ) ) ) ).
fof(cc6_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_ordinal1(A)) ) ).
fof(cc7_card_3, axiom,  (! [A] :  (v4_card_3(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_card_3(B)) ) ) ) ).
fof(cc7_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_funct_1(A)) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc8_card_3, axiom,  (! [A] :  (v2_card_3(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_card_3(B)) ) ) ) ).
fof(cc8_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, A) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
fof(cc9_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_funct_1(B)) ) ) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(commutativity_k2_tarski, axiom,  (! [A, B] : k2_tarski(A, B)=k2_tarski(B, A)) ).
fof(commutativity_k2_xboole_0, axiom,  (! [A, B] : k2_xboole_0(A, B)=k2_xboole_0(B, A)) ).
fof(connectedness_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  =>  (r1_xxreal_0(A, B) | r1_xxreal_0(B, A)) ) ) ).
fof(d1_ami_2, axiom, k1_ami_2=k2_xboole_0(k1_tarski(k4_ordinal1), k2_scm_inst)).
fof(d1_scmpds_i, axiom, k1_scmpds_i=k2_xboole_0(k2_xboole_0(k2_xboole_0(k2_xboole_0(k2_xboole_0(k1_tarski(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0)), a_0_0_scmpds_i), a_0_1_scmpds_i), a_0_2_scmpds_i), a_0_3_scmpds_i), a_0_4_scmpds_i)).
fof(d2_int_1, axiom,  (! [A] :  (v1_int_1(A) <=> r2_hidden(A, k4_numbers)) ) ).
fof(d3_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (F=k3_enumset1(A, B, C, D, E) <=>  (! [G] :  (r2_hidden(G, F) <=>  ~ ( ( ~ (G=A)  &  ( ~ (G=B)  &  ( ~ (G=C)  &  ( ~ (G=D)  &  ~ (G=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_xboole_0, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k2_xboole_0(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, A) | r2_hidden(D, B)) ) ) ) ) ) ) ).
fof(dt_k10_finseq_1, axiom, $true).
fof(dt_k11_finseq_1, axiom, $true).
fof(dt_k12_finseq_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => m2_finseq_1(k12_finseq_1(A, B), A)) ) ).
fof(dt_k1_ami_2, axiom, $true).
fof(dt_k1_scmpds_i, axiom, $true).
fof(dt_k1_tarski, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_ami_2, axiom, m1_subset_1(k2_ami_2, k1_zfmisc_1(k1_ami_2))).
fof(dt_k2_scm_inst, axiom, $true).
fof(dt_k2_tarski, axiom, $true).
fof(dt_k2_xboole_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_enumset1, axiom, $true).
fof(dt_k3_xtuple_0, axiom, $true).
fof(dt_k4_numbers, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k5_card_1(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k5_finseq_1, axiom, $true).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k6_ordinal1, axiom, $true).
fof(dt_k7_finseq_4, axiom, $true).
fof(dt_m1_finseq_1, axiom,  (! [A] :  (! [B] :  (m1_finseq_1(B, A) =>  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) ) ).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_m2_finseq_1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (v1_funct_1(B) &  (v1_finseq_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) ) ) ) ) ).
fof(dt_m2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  (! [C] :  (m2_subset_1(C, A, B) => m1_subset_1(C, A)) ) ) ) ).
fof(existence_m1_finseq_1, axiom,  (! [A] :  (? [B] : m1_finseq_1(B, A)) ) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(existence_m2_finseq_1, axiom,  (! [A] :  (? [B] : m2_finseq_1(B, A)) ) ).
fof(existence_m2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  (? [C] : m2_subset_1(C, A, B)) ) ) ).
fof(fc10_card_3, axiom, v5_card_3(k4_ordinal1)).
fof(fc11_compos_0, axiom,  (v2_compos_0(k1_tarski(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0))) & v3_compos_0(k1_tarski(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0)))) ).
fof(fc12_setfam_1, axiom,  (! [A, B] :  ( (v1_setfam_1(A) & v1_setfam_1(B))  => v1_setfam_1(k2_xboole_0(A, B))) ) ).
fof(fc13_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) => v3_ordinal1(k6_ordinal1(A))) ) ).
fof(fc14_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v4_funct_1(k1_tarski(A))) ) ).
fof(fc14_ordinal1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v8_ordinal1(A))  => v1_xboole_0(k6_ordinal1(A))) ) ).
fof(fc15_funct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => v4_funct_1(k2_tarski(A, B))) ) ).
fof(fc16_compos_0, axiom, v1_compos_0(k2_tarski(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0), k3_xtuple_0(1, k1_xboole_0, k1_xboole_0)))).
fof(fc17_compos_0, axiom,  (v2_compos_0(k2_tarski(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0), k3_xtuple_0(1, k1_xboole_0, k1_xboole_0))) & v3_compos_0(k2_tarski(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0), k3_xtuple_0(1, k1_xboole_0, k1_xboole_0)))) ).
fof(fc18_compos_0, axiom, v5_compos_0(k1_tarski(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0)))).
fof(fc19_compos_0, axiom, v5_compos_0(k2_tarski(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0), k3_xtuple_0(1, k1_xboole_0, k1_xboole_0)))).
fof(fc1_ami_2, axiom,  ~ (v1_xboole_0(k1_ami_2)) ).
fof(fc1_ami_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (v1_setfam_1(k6_ordinal1(A))) ) ) ).
fof(fc1_compos_0, axiom, v1_compos_0(k1_tarski(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0)))).
fof(fc1_scm_inst, axiom,  ~ (v1_xboole_0(k2_scm_inst)) ).
fof(fc1_scmpds_i, axiom,  ~ (v1_xboole_0(k1_scmpds_i)) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc2_compos_0, axiom, v1_compos_0(k1_tarski(k3_xtuple_0(1, k1_xboole_0, k1_xboole_0)))).
fof(fc2_measure6, axiom,  ~ (v1_setfam_1(k4_ordinal1)) ).
fof(fc2_setfam_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => v1_setfam_1(k1_tarski(A))) ) ).
fof(fc2_xboole_0, axiom,  (! [A] :  ~ (v1_xboole_0(k1_tarski(A))) ) ).
fof(fc2_xtuple_0, axiom,  (! [A, B, C] : v2_xtuple_0(k3_xtuple_0(A, B, C))) ).
fof(fc3_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  => v1_relat_1(k2_xboole_0(A, B))) ) ).
fof(fc3_scmpds_i, axiom, v1_compos_0(k1_scmpds_i)).
fof(fc3_setfam_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  => v1_setfam_1(k2_tarski(A, B))) ) ).
fof(fc3_xboole_0, axiom,  (! [A, B] :  ~ (v1_xboole_0(k2_tarski(A, B))) ) ).
fof(fc4_scmpds_i, axiom, v2_compos_0(k1_scmpds_i)).
fof(fc4_xboole_0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_xboole_0(A, B))) ) ) ).
fof(fc5_scmpds_i, axiom, v3_compos_0(k1_scmpds_i)).
fof(fc5_xboole_0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_xboole_0(B, A))) ) ) ).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc6_relat_1, axiom,  (! [A, B] : v1_relat_1(k2_zfmisc_1(A, B))) ).
fof(fc6_scmpds_i, axiom, v5_compos_0(k1_scmpds_i)).
fof(fc6_setfam_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ~ (v1_xboole_0(E)) ) ) ) )  => v1_setfam_1(k3_enumset1(A, B, C, D, E))) ) ).
fof(fc7_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v2_card_3(k1_tarski(A))) ) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
fof(fraenkel_a_0_0_scmpds_i, axiom,  (! [A] :  (r2_hidden(A, a_0_0_scmpds_i) <=>  (? [B] :  (m1_subset_1(B, k4_numbers) & A=k3_xtuple_0(14, k1_xboole_0, k12_finseq_1(k4_numbers, B))) ) ) ) ).
fof(fraenkel_a_0_1_scmpds_i, axiom,  (! [A] :  (r2_hidden(A, a_0_1_scmpds_i) <=>  (? [B] :  (m1_subset_1(B, k2_scm_inst) & A=k3_xtuple_0(1, k1_xboole_0, k12_finseq_1(k2_scm_inst, B))) ) ) ) ).
fof(fraenkel_a_0_2_scmpds_i, axiom,  (! [A] :  (r2_hidden(A, a_0_2_scmpds_i) <=>  (? [B, C, D] :  ( (m2_subset_1(B, k4_ordinal1, k5_card_1(15)) &  (m1_subset_1(C, k2_scm_inst) & m1_subset_1(D, k4_numbers)) )  &  (A=k3_xtuple_0(B, k1_xboole_0, k10_finseq_1(C, D)) & r2_tarski(B, k2_tarski(2, 3))) ) ) ) ) ).
fof(fraenkel_a_0_3_scmpds_i, axiom,  (! [A] :  (r2_hidden(A, a_0_3_scmpds_i) <=>  (? [B, C, D, E] :  ( (m2_subset_1(B, k4_ordinal1, k5_card_1(15)) &  (m1_subset_1(C, k2_scm_inst) &  (m1_subset_1(D, k4_numbers) & m1_subset_1(E, k4_numbers)) ) )  &  (A=k3_xtuple_0(B, k1_xboole_0, k11_finseq_1(C, D, E)) & r2_tarski(B, k3_enumset1(4, 5, 6, 7, 8))) ) ) ) ) ).
fof(fraenkel_a_0_4_scmpds_i, axiom,  (! [A] :  (r2_hidden(A, a_0_4_scmpds_i) <=>  (? [B, C, D, E, F] :  ( (m2_subset_1(B, k4_ordinal1, k5_card_1(15)) &  (m1_subset_1(C, k2_scm_inst) &  (m1_subset_1(D, k2_scm_inst) &  (m1_subset_1(E, k4_numbers) & m1_subset_1(F, k4_numbers)) ) ) )  &  (A=k3_xtuple_0(B, k1_xboole_0, k7_finseq_4(C, D, E, F)) & r2_tarski(B, k3_enumset1(9, 10, 11, 12, 13))) ) ) ) ) ).
fof(fraenkel_a_0_5_scmpds_2, axiom,  (! [A] :  (r2_hidden(A, a_0_5_scmpds_2) <=>  (? [B, C, D, E, F] :  ( (m1_subset_1(B, k5_card_1(15)) &  (m2_subset_1(C, k1_ami_2, k2_ami_2) &  (m2_subset_1(D, k1_ami_2, k2_ami_2) &  (m1_subset_1(E, k4_numbers) & m1_subset_1(F, k4_numbers)) ) ) )  &  (A=k3_xtuple_0(B, k1_xboole_0, k7_finseq_4(C, D, E, F)) & r2_tarski(B, k3_enumset1(9, 10, 11, 12, 13))) ) ) ) ) ).
fof(idempotence_k2_xboole_0, axiom,  (! [A, B] : k2_xboole_0(A, A)=A) ).
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_card_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) ) ) ).
fof(rc1_compos_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_compos_0(A)) ) ).
fof(rc1_funcop_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) ) ).
fof(rc1_funct_1, axiom,  (? [A] :  (v1_relat_1(A) & v1_funct_1(A)) ) ).
fof(rc1_int_1, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) & v1_int_1(A)) ) ) ) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
fof(rc1_relat_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_relat_1(A)) ) ).
fof(rc1_setfam_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_setfam_1(A)) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc1_xtuple_0, axiom,  (? [A] : v1_xtuple_0(A)) ).
fof(rc2_compos_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_compos_0(A) &  (v2_compos_0(A) & v3_compos_0(A)) ) ) ) ) ).
fof(rc2_funcop_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) ) ) ).
fof(rc2_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ).
fof(rc2_int_1, axiom,  (? [A] : v1_int_1(A)) ).
fof(rc2_measure6, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_setfam_1(A)) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_relat_1, axiom,  (? [A] :  (v1_relat_1(A) & v2_relat_1(A)) ) ).
fof(rc2_setfam_1, axiom,  (? [A] :  ~ (v2_setfam_1(A)) ) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc2_xtuple_0, axiom,  (? [A] : v2_xtuple_0(A)) ).
fof(rc3_card_3, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v4_funct_1(A) & v2_card_3(A)) ) ) ).
fof(rc3_compos_0, axiom,  (? [A] :  (v1_compos_0(A) & v5_compos_0(A)) ) ).
fof(rc3_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) ) ).
fof(rc3_int_1, axiom,  (? [A] : v2_int_1(A)) ).
fof(rc3_measure6, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) ) ) ).
fof(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(rc3_setfam_1, axiom,  (! [A] :  ( ~ (v2_setfam_1(A))  =>  (? [B] :  (m1_subset_1(B, A) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(rc3_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc4_compos_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_compos_0(A) &  (v2_compos_0(A) &  (v3_compos_0(A) & v5_compos_0(A)) ) ) ) ) ) ).
fof(rc4_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) ) ) ).
fof(rc5_card_3, axiom,  (? [A] : v5_card_3(A)) ).
fof(rc5_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) ) ) ).
fof(rc5_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc5_xreal_0, axiom,  (? [A] :  (v8_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc6_card_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v1_finset_1(A)) ) ) ) ).
fof(rc6_compos_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) &  (v1_compos_0(A) &  (v2_compos_0(A) &  (v3_compos_0(A) & v5_compos_0(A)) ) ) ) ) ) ) ).
fof(rc6_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc7_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_funct_1(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_k12_finseq_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => k12_finseq_1(A, B)=k5_finseq_1(B)) ) ).
fof(redefinition_k2_ami_2, axiom, k2_ami_2=k2_scm_inst).
fof(redefinition_k5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => k5_card_1(A)=k6_ordinal1(A)) ) ).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1).
fof(redefinition_m2_finseq_1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) <=> m1_finseq_1(B, A)) ) ) ).
fof(redefinition_m2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  (! [C] :  (m2_subset_1(C, A, B) <=> m1_subset_1(C, 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_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => r1_xxreal_0(A, A)) ) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r1, axiom,  ~ (r1_xxreal_0(10, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r10, axiom, r1_xxreal_0(10, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r11, axiom, r1_xxreal_0(10, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r12, axiom, r1_xxreal_0(10, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r13, axiom, r1_xxreal_0(10, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r14, axiom, r1_xxreal_0(10, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r15, axiom, r1_xxreal_0(10, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r2, axiom,  ~ (r1_xxreal_0(10, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r3, axiom,  ~ (r1_xxreal_0(10, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r4, axiom,  ~ (r1_xxreal_0(10, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r5, axiom,  ~ (r1_xxreal_0(10, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r6, axiom,  ~ (r1_xxreal_0(10, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r7, axiom,  ~ (r1_xxreal_0(10, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r8, axiom,  ~ (r1_xxreal_0(10, 8)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r9, axiom,  ~ (r1_xxreal_0(10, 9)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r1, axiom,  ~ (r1_xxreal_0(11, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r10, axiom,  ~ (r1_xxreal_0(11, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r11, axiom, r1_xxreal_0(11, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r11_r12, axiom, r1_xxreal_0(11, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r11_r13, axiom, r1_xxreal_0(11, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r11_r14, axiom, r1_xxreal_0(11, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r11_r15, axiom, r1_xxreal_0(11, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r11_r2, axiom,  ~ (r1_xxreal_0(11, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r3, axiom,  ~ (r1_xxreal_0(11, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r4, axiom,  ~ (r1_xxreal_0(11, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r5, axiom,  ~ (r1_xxreal_0(11, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r6, axiom,  ~ (r1_xxreal_0(11, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r7, axiom,  ~ (r1_xxreal_0(11, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r8, axiom,  ~ (r1_xxreal_0(11, 8)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r9, axiom,  ~ (r1_xxreal_0(11, 9)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r1, axiom,  ~ (r1_xxreal_0(12, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r10, axiom,  ~ (r1_xxreal_0(12, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r11, axiom,  ~ (r1_xxreal_0(12, 11)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r12, axiom, r1_xxreal_0(12, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r12_r13, axiom, r1_xxreal_0(12, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r12_r14, axiom, r1_xxreal_0(12, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r12_r15, axiom, r1_xxreal_0(12, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r12_r2, axiom,  ~ (r1_xxreal_0(12, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r3, axiom,  ~ (r1_xxreal_0(12, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r4, axiom,  ~ (r1_xxreal_0(12, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r5, axiom,  ~ (r1_xxreal_0(12, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r6, axiom,  ~ (r1_xxreal_0(12, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r7, axiom,  ~ (r1_xxreal_0(12, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r8, axiom,  ~ (r1_xxreal_0(12, 8)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r9, axiom,  ~ (r1_xxreal_0(12, 9)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r1, axiom,  ~ (r1_xxreal_0(13, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r10, axiom,  ~ (r1_xxreal_0(13, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r11, axiom,  ~ (r1_xxreal_0(13, 11)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r12, axiom,  ~ (r1_xxreal_0(13, 12)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r13, axiom, r1_xxreal_0(13, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r13_r14, axiom, r1_xxreal_0(13, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r13_r15, axiom, r1_xxreal_0(13, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r13_r2, axiom,  ~ (r1_xxreal_0(13, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r3, axiom,  ~ (r1_xxreal_0(13, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r4, axiom,  ~ (r1_xxreal_0(13, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r5, axiom,  ~ (r1_xxreal_0(13, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r6, axiom,  ~ (r1_xxreal_0(13, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r7, axiom,  ~ (r1_xxreal_0(13, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r8, axiom,  ~ (r1_xxreal_0(13, 8)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r9, axiom,  ~ (r1_xxreal_0(13, 9)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r1, axiom,  ~ (r1_xxreal_0(14, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r10, axiom,  ~ (r1_xxreal_0(14, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r11, axiom,  ~ (r1_xxreal_0(14, 11)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r12, axiom,  ~ (r1_xxreal_0(14, 12)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r13, axiom,  ~ (r1_xxreal_0(14, 13)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r14, axiom, r1_xxreal_0(14, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r14_r15, axiom, r1_xxreal_0(14, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r14_r2, axiom,  ~ (r1_xxreal_0(14, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r3, axiom,  ~ (r1_xxreal_0(14, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r4, axiom,  ~ (r1_xxreal_0(14, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r5, axiom,  ~ (r1_xxreal_0(14, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r6, axiom,  ~ (r1_xxreal_0(14, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r7, axiom,  ~ (r1_xxreal_0(14, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r8, axiom,  ~ (r1_xxreal_0(14, 8)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r9, axiom,  ~ (r1_xxreal_0(14, 9)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r1, axiom,  ~ (r1_xxreal_0(15, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r10, axiom,  ~ (r1_xxreal_0(15, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r11, axiom,  ~ (r1_xxreal_0(15, 11)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r12, axiom,  ~ (r1_xxreal_0(15, 12)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r13, axiom,  ~ (r1_xxreal_0(15, 13)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r14, axiom,  ~ (r1_xxreal_0(15, 14)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r15, axiom, r1_xxreal_0(15, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r15_r2, axiom,  ~ (r1_xxreal_0(15, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r3, axiom,  ~ (r1_xxreal_0(15, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r4, axiom,  ~ (r1_xxreal_0(15, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r5, axiom,  ~ (r1_xxreal_0(15, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r6, axiom,  ~ (r1_xxreal_0(15, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r7, axiom,  ~ (r1_xxreal_0(15, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r8, axiom,  ~ (r1_xxreal_0(15, 8)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r9, axiom,  ~ (r1_xxreal_0(15, 9)) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r1, axiom, r1_xxreal_0(1, 1)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r10, axiom, r1_xxreal_0(1, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r11, axiom, r1_xxreal_0(1, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r12, axiom, r1_xxreal_0(1, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r13, axiom, r1_xxreal_0(1, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r14, axiom, r1_xxreal_0(1, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r15, axiom, r1_xxreal_0(1, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r2, axiom, r1_xxreal_0(1, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r3, axiom, r1_xxreal_0(1, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r4, axiom, r1_xxreal_0(1, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r5, axiom, r1_xxreal_0(1, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r6, axiom, r1_xxreal_0(1, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r7, axiom, r1_xxreal_0(1, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r8, axiom, r1_xxreal_0(1, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r9, axiom, r1_xxreal_0(1, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r1, axiom,  ~ (r1_xxreal_0(2, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r10, axiom, r1_xxreal_0(2, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r11, axiom, r1_xxreal_0(2, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r12, axiom, r1_xxreal_0(2, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r13, axiom, r1_xxreal_0(2, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r14, axiom, r1_xxreal_0(2, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r15, axiom, r1_xxreal_0(2, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r2, axiom, r1_xxreal_0(2, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r3, axiom, r1_xxreal_0(2, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r4, axiom, r1_xxreal_0(2, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r5, axiom, r1_xxreal_0(2, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r6, axiom, r1_xxreal_0(2, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r7, axiom, r1_xxreal_0(2, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r8, axiom, r1_xxreal_0(2, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r9, axiom, r1_xxreal_0(2, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r1, axiom,  ~ (r1_xxreal_0(3, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r10, axiom, r1_xxreal_0(3, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r11, axiom, r1_xxreal_0(3, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r12, axiom, r1_xxreal_0(3, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r13, axiom, r1_xxreal_0(3, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r14, axiom, r1_xxreal_0(3, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r15, axiom, r1_xxreal_0(3, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r2, axiom,  ~ (r1_xxreal_0(3, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r3, axiom, r1_xxreal_0(3, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r4, axiom, r1_xxreal_0(3, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r5, axiom, r1_xxreal_0(3, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r6, axiom, r1_xxreal_0(3, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r7, axiom, r1_xxreal_0(3, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r8, axiom, r1_xxreal_0(3, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r9, axiom, r1_xxreal_0(3, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r1, axiom,  ~ (r1_xxreal_0(4, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r10, axiom, r1_xxreal_0(4, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r11, axiom, r1_xxreal_0(4, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r12, axiom, r1_xxreal_0(4, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r13, axiom, r1_xxreal_0(4, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r14, axiom, r1_xxreal_0(4, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r15, axiom, r1_xxreal_0(4, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r2, axiom,  ~ (r1_xxreal_0(4, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r3, axiom,  ~ (r1_xxreal_0(4, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r4, axiom, r1_xxreal_0(4, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r5, axiom, r1_xxreal_0(4, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r6, axiom, r1_xxreal_0(4, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r7, axiom, r1_xxreal_0(4, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r8, axiom, r1_xxreal_0(4, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r9, axiom, r1_xxreal_0(4, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r1, axiom,  ~ (r1_xxreal_0(5, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r10, axiom, r1_xxreal_0(5, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r11, axiom, r1_xxreal_0(5, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r12, axiom, r1_xxreal_0(5, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r13, axiom, r1_xxreal_0(5, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r14, axiom, r1_xxreal_0(5, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r15, axiom, r1_xxreal_0(5, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r2, axiom,  ~ (r1_xxreal_0(5, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r3, axiom,  ~ (r1_xxreal_0(5, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r4, axiom,  ~ (r1_xxreal_0(5, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r5, axiom, r1_xxreal_0(5, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r6, axiom, r1_xxreal_0(5, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r7, axiom, r1_xxreal_0(5, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r8, axiom, r1_xxreal_0(5, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r9, axiom, r1_xxreal_0(5, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r1, axiom,  ~ (r1_xxreal_0(6, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r10, axiom, r1_xxreal_0(6, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r11, axiom, r1_xxreal_0(6, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r12, axiom, r1_xxreal_0(6, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r13, axiom, r1_xxreal_0(6, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r14, axiom, r1_xxreal_0(6, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r15, axiom, r1_xxreal_0(6, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r2, axiom,  ~ (r1_xxreal_0(6, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r3, axiom,  ~ (r1_xxreal_0(6, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r4, axiom,  ~ (r1_xxreal_0(6, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r5, axiom,  ~ (r1_xxreal_0(6, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r6, axiom, r1_xxreal_0(6, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r7, axiom, r1_xxreal_0(6, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r8, axiom, r1_xxreal_0(6, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r9, axiom, r1_xxreal_0(6, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r1, axiom,  ~ (r1_xxreal_0(7, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r10, axiom, r1_xxreal_0(7, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r11, axiom, r1_xxreal_0(7, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r12, axiom, r1_xxreal_0(7, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r13, axiom, r1_xxreal_0(7, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r14, axiom, r1_xxreal_0(7, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r15, axiom, r1_xxreal_0(7, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r2, axiom,  ~ (r1_xxreal_0(7, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r3, axiom,  ~ (r1_xxreal_0(7, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r4, axiom,  ~ (r1_xxreal_0(7, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r5, axiom,  ~ (r1_xxreal_0(7, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r6, axiom,  ~ (r1_xxreal_0(7, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r7, axiom, r1_xxreal_0(7, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r8, axiom, r1_xxreal_0(7, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r9, axiom, r1_xxreal_0(7, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r8_r1, axiom,  ~ (r1_xxreal_0(8, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r10, axiom, r1_xxreal_0(8, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r8_r11, axiom, r1_xxreal_0(8, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r8_r12, axiom, r1_xxreal_0(8, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r8_r13, axiom, r1_xxreal_0(8, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r8_r14, axiom, r1_xxreal_0(8, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r8_r15, axiom, r1_xxreal_0(8, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r8_r2, axiom,  ~ (r1_xxreal_0(8, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r3, axiom,  ~ (r1_xxreal_0(8, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r4, axiom,  ~ (r1_xxreal_0(8, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r5, axiom,  ~ (r1_xxreal_0(8, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r6, axiom,  ~ (r1_xxreal_0(8, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r7, axiom,  ~ (r1_xxreal_0(8, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r8, axiom, r1_xxreal_0(8, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r8_r9, axiom, r1_xxreal_0(8, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r9_r1, axiom,  ~ (r1_xxreal_0(9, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r10, axiom, r1_xxreal_0(9, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r9_r11, axiom, r1_xxreal_0(9, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r9_r12, axiom, r1_xxreal_0(9, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r9_r13, axiom, r1_xxreal_0(9, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r9_r14, axiom, r1_xxreal_0(9, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r9_r15, axiom, r1_xxreal_0(9, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r9_r2, axiom,  ~ (r1_xxreal_0(9, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r3, axiom,  ~ (r1_xxreal_0(9, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r4, axiom,  ~ (r1_xxreal_0(9, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r5, axiom,  ~ (r1_xxreal_0(9, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r6, axiom,  ~ (r1_xxreal_0(9, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r7, axiom,  ~ (r1_xxreal_0(9, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r8, axiom,  ~ (r1_xxreal_0(9, 8)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r9, axiom, r1_xxreal_0(9, 9)).
fof(spc10_boole, axiom,  ~ (v1_xboole_0(10)) ).
fof(spc10_numerals, axiom,  (v2_xxreal_0(10) & m1_subset_1(10, k4_ordinal1)) ).
fof(spc11_boole, axiom,  ~ (v1_xboole_0(11)) ).
fof(spc11_numerals, axiom,  (v2_xxreal_0(11) & m1_subset_1(11, k4_ordinal1)) ).
fof(spc12_boole, axiom,  ~ (v1_xboole_0(12)) ).
fof(spc12_numerals, axiom,  (v2_xxreal_0(12) & m1_subset_1(12, k4_ordinal1)) ).
fof(spc13_boole, axiom,  ~ (v1_xboole_0(13)) ).
fof(spc13_numerals, axiom,  (v2_xxreal_0(13) & m1_subset_1(13, k4_ordinal1)) ).
fof(spc14_boole, axiom,  ~ (v1_xboole_0(14)) ).
fof(spc14_numerals, axiom,  (v2_xxreal_0(14) & m1_subset_1(14, k4_ordinal1)) ).
fof(spc15_boole, axiom,  ~ (v1_xboole_0(15)) ).
fof(spc15_numerals, axiom,  (v2_xxreal_0(15) & m1_subset_1(15, k4_ordinal1)) ).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc2_boole, axiom,  ~ (v1_xboole_0(2)) ).
fof(spc2_numerals, axiom,  (v2_xxreal_0(2) & m1_subset_1(2, 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(spc5_boole, axiom,  ~ (v1_xboole_0(5)) ).
fof(spc5_numerals, axiom,  (v2_xxreal_0(5) & m1_subset_1(5, k4_ordinal1)) ).
fof(spc6_boole, axiom,  ~ (v1_xboole_0(6)) ).
fof(spc6_numerals, axiom,  (v2_xxreal_0(6) & m1_subset_1(6, k4_ordinal1)) ).
fof(spc7_boole, axiom,  ~ (v1_xboole_0(7)) ).
fof(spc7_numerals, axiom,  (v2_xxreal_0(7) & m1_subset_1(7, k4_ordinal1)) ).
fof(spc8_boole, axiom,  ~ (v1_xboole_0(8)) ).
fof(spc8_numerals, axiom,  (v2_xxreal_0(8) & m1_subset_1(8, k4_ordinal1)) ).
fof(spc9_boole, axiom,  ~ (v1_xboole_0(9)) ).
fof(spc9_numerals, axiom,  (v2_xxreal_0(9) & m1_subset_1(9, k4_ordinal1)) ).
fof(t1_boole, axiom,  (! [A] : k2_xboole_0(A, k1_xboole_0)=A) ).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0, k4_ordinal1)).
fof(t1_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(A, B) & v2_xxreal_0(A))  => v2_xxreal_0(B)) ) ) ) ) ).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
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(t44_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_hidden(A, k5_card_1(B)) <=>  ~ (r1_xxreal_0(B, A)) ) ) ) ) ) ).
fof(t4_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v2_xxreal_0(B))  & v2_xxreal_0(A)) ) ) ) ) ) ) ).
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)) ) ) ) ) ).
