% Mizar problem: t26_number05,number05,3198,7 
fof(t26_number05, conjecture, r2_number05(116)).
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_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A))  => v3_card_1(A, 1)) ) ).
fof(cc10_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_int_1(B)) ) ) ) ).
fof(cc10_ordinal5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_ordinal2(A) & v6_ordinal5(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_ordinal2(A) & v1_ordinal5(A)) ) ) ) ) ) ).
fof(cc11_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_card_1(A))  =>  (! [B] :  (v3_card_1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(cc11_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v7_ordinal1(B)) ) ) ) ).
fof(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(cc12_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v6_membered(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_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k3_finseq_2(A)) => v1_xboole_0(B)) ) ) ) ).
fof(cc16_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc17_fomodel0, axiom,  (! [A] :  (v1_setfam_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  ~ (v1_xboole_0(B)) ) )  =>  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  & v5_relat_1(B, A)) ) ) ) ) ) ).
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_fomodel0, axiom,  (! [A] :  ( (v1_int_1(A) & v2_xxreal_0(A))  =>  (v7_ordinal1(A) & v1_int_1(A)) ) ) ).
fof(cc19_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v7_membered(A)) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc1_abian, axiom,  (! [A] :  (v2_setfam_1(A) => v1_zfmisc_1(A)) ) ).
fof(cc1_card_1, axiom,  (! [A] :  (v1_card_1(A) => v3_ordinal1(A)) ) ).
fof(cc1_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_finset_1(A)) ) ).
fof(cc1_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => v2_setfam_1(A)) ) ).
fof(cc1_int_1, axiom,  (! [A] :  (m1_subset_1(A, k4_numbers) => v1_int_1(A)) ) ).
fof(cc1_int_2, axiom,  (! [A] :  ( (v1_int_1(A) & v1_int_2(A))  =>  (v7_ordinal1(A) & v1_int_1(A)) ) ) ).
fof(cc1_membered, axiom,  (! [A] :  (v6_membered(A) => v5_membered(A)) ) ).
fof(cc1_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v3_ordinal1(A) & v7_ordinal1(A)) ) ) ).
fof(cc1_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A)) ) ) ).
fof(cc1_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (v7_ordinal1(A) &  ~ (v1_pythtrip(A)) ) ) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc1_ordinal5, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v1_xboole_0(A) & v1_ordinal2(A)) ) ) ).
fof(cc1_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_relat_1(A)) ) ).
fof(cc1_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v5_valued_0(A)) ) ) ).
fof(cc1_xcmplx_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xcmplx_0(A)) ) ).
fof(cc1_xreal_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => v1_xreal_0(A)) ) ).
fof(cc1_xxreal_0, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) => v1_xxreal_0(A)) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc21_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  (m1_subset_1(B, A) => v1_xtuple_0(B)) ) ) ) ).
fof(cc22_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_zfmisc_1(A) & v2_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) &  (v7_valued_0(A) & v8_valued_0(A)) ) ) ) ) ) ).
fof(cc23_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v7_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v9_valued_0(A)) ) ) ) ) ).
fof(cc24_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v10_valued_0(A)) ) ) ) ) ).
fof(cc25_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v2_abian(A)) ) ) ) ) ).
fof(cc26_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => v5_fomodel0(A)) ) ).
fof(cc27_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v5_fomodel0(A)) ) ) ) ).
fof(cc28_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_fomodel0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) ) ) ) ).
fof(cc28_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k2_numbers))  =>  (v1_relat_1(A) & v1_valued_0(A)) ) ) ).
fof(cc29_fomodel0, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(cc29_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k2_numbers)) ) ) ).
fof(cc2_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_card_1(A)) ) ).
fof(cc2_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_int_1(A)) ) ).
fof(cc2_membered, axiom,  (! [A] :  (v5_membered(A) => v4_membered(A)) ) ).
fof(cc2_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc2_newton03, axiom,  (! [A] :  ( (v1_int_1(A) & v1_int_2(A))  =>  (v1_int_1(A) &  ~ (v1_pythtrip(A)) ) ) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_ordinal5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_ordinal2(A) & v2_ordinal2(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_ordinal2(A) & v2_ordinal5(A)) ) ) ) ) ) ).
fof(cc2_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc2_xcmplx_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => v1_xcmplx_0(A)) ) ).
fof(cc2_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
fof(cc2_xxreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xxreal_0(A)) ) ).
fof(cc30_fomodel0, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  =>  (v1_relat_1(B) &  (v1_funct_1(B) & v3_funct_1(B)) ) ) ) ) ) ).
fof(cc30_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k6_numbers))  =>  (v1_relat_1(A) & v2_valued_0(A)) ) ) ).
fof(cc31_fomodel0, axiom,  (! [A] :  (v5_fomodel0(A) => v1_funct_1(A)) ) ).
fof(cc31_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k6_numbers)) ) ) ).
fof(cc32_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k1_numbers))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc33_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k1_numbers)) ) ) ).
fof(cc34_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k3_numbers))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc35_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k3_numbers)) ) ) ).
fof(cc36_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_numbers))  =>  (v1_relat_1(A) & v5_valued_0(A)) ) ) ).
fof(cc37_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k4_numbers)) ) ) ).
fof(cc38_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_ordinal1))  =>  (v1_relat_1(A) & v6_valued_0(A)) ) ) ).
fof(cc39_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k4_ordinal1)) ) ) ).
fof(cc3_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_card_1(A)) ) ).
fof(cc3_int_1, axiom,  (! [A] :  (v1_int_1(A) => v1_xreal_0(A)) ) ).
fof(cc3_membered, axiom,  (! [A] :  (v4_membered(A) => v3_membered(A)) ) ).
fof(cc3_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc3_nat_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_ec_pf_2(B, k2_xcmplx_0(A, 1)))  =>  (v7_ordinal1(B) & v1_ec_pf_2(B, A)) ) ) ) ) ).
fof(cc3_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (v1_zfmisc_1(A) & v7_ordinal1(A)) ) ) ).
fof(cc3_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_ordinal1(A)) ) ).
fof(cc3_ordinal5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_ordinal2(A) & v1_ordinal5(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_ordinal2(A) & v3_ordinal5(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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc3_xcmplx_0, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) => v1_xcmplx_0(A)) ) ).
fof(cc3_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xcmplx_0(A)) ) ).
fof(cc3_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v2_xxreal_0(A))  =>  ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc40_valued_0, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k2_numbers)) ) ) ) ) ).
fof(cc41_valued_0, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v1_valued_0(B)) ) ) ) ) ).
fof(cc42_valued_0, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k6_numbers)) ) ) ) ) ).
fof(cc43_valued_0, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v2_valued_0(B)) ) ) ) ) ).
fof(cc44_valued_0, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k1_numbers)) ) ) ) ) ).
fof(cc45_valued_0, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v3_valued_0(B)) ) ) ) ) ).
fof(cc46_valued_0, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k3_numbers)) ) ) ) ) ).
fof(cc47_valued_0, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v4_valued_0(B)) ) ) ) ) ).
fof(cc48_valued_0, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k4_numbers)) ) ) ) ) ).
fof(cc49_valued_0, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_valued_0(B)) ) ) ) ) ).
fof(cc4_card_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v1_finset_1(A)) ) ).
fof(cc4_finset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) => v1_finset_1(A)) ) ).
fof(cc4_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v2_int_1(A)) ) ).
fof(cc4_membered, axiom,  (! [A] :  (v3_membered(A) => v2_membered(A)) ) ).
fof(cc4_nat_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (v7_ordinal1(A) &  ~ (v2_xxreal_0(A)) ) ) ) ).
fof(cc4_newton03, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v7_ordinal1(A))  =>  (v7_ordinal1(A) & v1_pythtrip(A)) ) ) ).
fof(cc4_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_ordinal1(A)) ) ).
fof(cc4_ordinal5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_ordinal5(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc4_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xxreal_0(A)) ) ).
fof(cc4_xxreal_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ) ).
fof(cc50_valued_0, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k4_ordinal1)) ) ) ) ) ).
fof(cc51_valued_0, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v6_valued_0(B)) ) ) ) ) ).
fof(cc5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(A)) ) ).
fof(cc5_finset_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_zfmisc_1(A)) ) ) ).
fof(cc5_int_1, axiom,  (! [A] :  (v2_int_1(A) => v1_int_1(A)) ) ).
fof(cc5_membered, axiom,  (! [A] :  (v3_membered(A) => v1_membered(A)) ) ).
fof(cc5_nat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v8_ordinal1(A)) ) ).
fof(cc5_newton03, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_pythtrip(A)) )  =>  ( ~ (v8_ordinal1(A))  & v1_int_1(A)) ) ) ).
fof(cc5_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(B)) ) ) ) ).
fof(cc5_ordinal5, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v1_xboole_0(A) &  (v2_ordinal2(A) & v1_ordinal5(A)) ) ) ) ).
fof(cc5_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v2_valued_0(A)) ) ) ).
fof(cc5_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v3_xxreal_0(A))  =>  ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) ) ) ) ).
fof(cc6_card_1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v1_finset_1(A))  => v7_ordinal1(A)) ) ).
fof(cc6_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_finset_1(A)) ) ).
fof(cc6_fomodel0, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k3_finseq_2(A)) => v5_relat_1(B, A)) ) ) ).
fof(cc6_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xcmplx_0(B)) ) ) ) ).
fof(cc6_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc6_nat_6, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (! [B] :  ( (v7_ordinal1(B) & v1_ec_pf_2(B, A))  =>  ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B)) ) ) ) ) ).
fof(cc6_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_ordinal1(A)) ) ).
fof(cc6_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v1_valued_0(A)) ) ) ).
fof(cc6_xxreal_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ) ).
fof(cc7_card_1, axiom,  (! [A] :  (v3_card_1(A, k5_ordinal1) => v1_xboole_0(A)) ) ).
fof(cc7_finset_1, axiom,  (! [A] :  (v5_finset_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finset_1(B)) ) ) ) ).
fof(cc7_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k1_tarski(k1_xboole_0)))  =>  (v1_relat_1(A) & v3_relat_1(A)) ) ) ).
fof(cc7_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xxreal_0(B)) ) ) ) ).
fof(cc7_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_ec_pf_2(A, 2))  =>  ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A)) ) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc7_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc7_xxreal_0, axiom,  (! [A] :  ( (v8_ordinal1(A) & v1_xxreal_0(A))  =>  (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc8_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_card_1(A, k5_ordinal1)) ) ).
fof(cc8_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_relat_1(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k1_tarski(k1_xboole_0))) ) ) ).
fof(cc8_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xreal_0(B)) ) ) ) ).
fof(cc8_nat_6, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (v7_ordinal1(A) & v1_ec_pf_2(A, 2)) ) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
fof(cc8_ordinal5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_xboole_0(A) &  (v5_ordinal1(A) & v1_ordinal2(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_ordinal2(A) & v6_ordinal5(A)) ) ) ) ) ) ).
fof(cc8_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_xboole_0(B) &  (v1_relat_1(B) & v5_relat_1(B, A)) ) ) ) ) ) ).
fof(cc8_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc8_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) )  =>  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ) ).
fof(cc9_card_1, axiom,  (! [A] :  (v3_card_1(A, 1) =>  ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A)) ) ) ).
fof(cc9_finset_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_finset_1(A)) ) ) ).
fof(cc9_fomodel0, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v3_xxreal_0(A)) )  =>  (v7_ordinal1(A) & v1_int_1(A)) ) ) ).
fof(cc9_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_rat_1(B)) ) ) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(cc9_ordinal5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_ordinal2(A) & v6_ordinal5(A)) ) ) )  =>  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_ordinal2(A)) ) ) ) ) ) ).
fof(cc9_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v6_valued_0(A)) ) ) ).
fof(commutativity_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => k1_nat_1(A, B)=k1_nat_1(B, A)) ) ).
fof(commutativity_k2_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(A, B)=k2_xcmplx_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(d13_ordinal1, axiom, k5_ordinal1=k1_xboole_0).
fof(d3_number05, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r2_number05(A) <=>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  ( ~ (r1_xxreal_0(k1_nat_1(A, 10), B))  & v1_int_2(B)) ) ) ) ) ) ) ) ).
fof(dt_k13_finseq_1, axiom, $true).
fof(dt_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => m1_subset_1(k1_nat_1(A, B), k4_ordinal1)) ) ).
fof(dt_k1_numbers, axiom, $true).
fof(dt_k1_tarski, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k2_numbers, axiom, $true).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k3_finseq_2, axiom,  (! [A] : m1_finseq_2(k3_finseq_2(A), A)) ).
fof(dt_k3_numbers, axiom, $true).
fof(dt_k4_numbers, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k6_numbers, axiom, $true).
fof(dt_m1_finseq_2, axiom, $true).
fof(dt_m1_subset_1, axiom, $true).
fof(existence_m1_finseq_2, axiom,  (! [A] :  (? [B] : m1_finseq_2(B, A)) ) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(fc10_membered, axiom,  (! [A] :  (v1_rat_1(A) => v4_membered(k1_tarski(A))) ) ).
fof(fc10_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k2_xcmplx_0(A, B))) ) ) ).
fof(fc11_membered, axiom,  (! [A] :  (v1_int_1(A) => v5_membered(k1_tarski(A))) ) ).
fof(fc11_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  => v1_setfam_1(k1_tarski(A))) ) ).
fof(fc11_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc12_membered, axiom,  (! [A] :  (v7_ordinal1(A) => v6_membered(k1_tarski(A))) ) ).
fof(fc12_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k2_xcmplx_0(B, A))) ) ).
fof(fc13_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc14_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k2_xcmplx_0(B, A))) ) ).
fof(fc16_card_1, axiom,  (! [A] : v3_card_1(k1_tarski(A), 1)) ).
fof(fc1_finset_1, axiom,  (! [A] : v1_finset_1(k1_tarski(A))) ).
fof(fc1_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_membered, axiom, v1_membered(k2_numbers)).
fof(fc1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_ordinal5, axiom, v4_ordinal1(k4_ordinal1)).
fof(fc2_membered, axiom, v2_membered(k6_numbers)).
fof(fc2_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_xcmplx_0(k2_xcmplx_0(A, B))) ) ).
fof(fc30_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v5_finset_1(k1_tarski(A))) ) ).
fof(fc38_newton03, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_int_1(A) & v1_pythtrip(A)) )  =>  ~ (v1_pythtrip(k2_xcmplx_0(A, 1))) ) ) ).
fof(fc39_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  & v1_pythtrip(A)) )  =>  ~ (v1_pythtrip(k2_xcmplx_0(A, 1))) ) ) ).
fof(fc3_membered, axiom, v3_membered(k1_numbers)).
fof(fc3_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(A, B))) ) ) ).
fof(fc4_membered, axiom, v4_membered(k3_numbers)).
fof(fc4_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(B, A))) ) ) ).
fof(fc52_newton03, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v1_zfmisc_1(k2_xcmplx_0(A, B))) ) ) ).
fof(fc55_membered, axiom, v7_membered(k2_numbers)).
fof(fc56_membered, axiom, v7_membered(k1_numbers)).
fof(fc57_membered, axiom, v7_membered(k3_numbers)).
fof(fc58_membered, axiom, v7_membered(k4_numbers)).
fof(fc59_membered, axiom, v7_membered(k4_ordinal1)).
fof(fc5_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => v2_setfam_1(k1_tarski(A))) ) ).
fof(fc5_membered, axiom, v5_membered(k4_numbers)).
fof(fc5_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc6_card_1, axiom, v1_card_1(k4_ordinal1)).
fof(fc6_membered, axiom, v6_membered(k4_ordinal1)).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc7_card_1, axiom, v2_card_1(k4_ordinal1)).
fof(fc7_int_1, axiom,  (! [A] :  (v2_int_1(A) => v7_ordinal1(k2_xcmplx_0(A, 1))) ) ).
fof(fc7_membered, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_membered(k1_tarski(A))) ) ).
fof(fc81_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_finset_1(k13_finseq_1(A))) ) ) ).
fof(fc82_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v2_setfam_1(k13_finseq_1(A))) ) ) ).
fof(fc8_int_1, axiom,  (! [A, B] :  ( (v2_int_1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc8_membered, axiom,  (! [A] :  (v1_xxreal_0(A) => v2_membered(k1_tarski(A))) ) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(fc9_card_1, axiom,  ~ (v1_finset_1(k4_ordinal1)) ).
fof(fc9_membered, axiom,  (! [A] :  (v1_xreal_0(A) => v3_membered(k1_tarski(A))) ) ).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
fof(fc9_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k2_xcmplx_0(A, B))) ) ) ).
fof(ie1_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => k3_finseq_2(A)=k1_tarski(A)) ) ).
fof(ie2_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => k1_tarski(A)=k3_finseq_2(A)) ) ).
fof(rc10_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) ) ) ) ).
fof(rc10_newton03, axiom,  (? [A] :  ( ~ (v1_zfmisc_1(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  & v1_pythtrip(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_fomodel0, axiom,  (? [A] :  (v1_xreal_0(A) &  (v1_int_1(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) & v1_xcmplx_0(A)) ) ) ) ) ).
fof(rc13_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) &  ~ (v9_ordinal1(A)) ) ) ).
fof(rc19_fomodel0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_xboole_0(A) &  ~ (v2_abian(A)) ) ) ) ) ).
fof(rc1_card_1, axiom,  (? [A] : v1_card_1(A)) ).
fof(rc1_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_finset_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_int_2, axiom,  (? [A] :  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_finset_1(A) &  (v1_card_1(A) & v1_int_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc1_nat_1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc1_newton, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_int_2(A) &  (v1_finset_1(A) &  (v1_card_1(A) & v1_rat_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
fof(rc1_ordinal5, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) ) ) ).
fof(rc1_relat_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_relat_1(A)) ) ).
fof(rc1_valued_0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v6_valued_0(A)) ) ) ).
fof(rc1_xcmplx_0, axiom,  (? [A] : v1_xcmplx_0(A)) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc1_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc20_fomodel0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_xboole_0(A) & v5_fomodel0(A)) ) ) ) ).
fof(rc2_card_1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v1_finset_1(A) & v1_card_1(A)) ) ) ) ) ).
fof(rc2_int_1, axiom,  (? [A] : v1_int_1(A)) ).
fof(rc2_int_2, axiom,  (? [A] :  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_finset_1(A) &  (v1_card_1(A) &  ~ (v1_int_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc2_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) & v8_ordinal1(A)) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_ordinal5, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v5_ordinal1(A) &  (v1_finset_1(A) &  (v1_ordinal2(A) &  (v2_ordinal2(A) &  (v1_ordinal5(A) &  (v2_ordinal5(A) & v3_ordinal5(A)) ) ) ) ) ) ) ) ) ) ).
fof(rc2_relat_1, axiom,  (? [A] :  (v1_relat_1(A) & v2_relat_1(A)) ) ).
fof(rc2_valued_0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v4_valued_0(A) &  (v5_valued_0(A) & v6_valued_0(A)) ) ) ) ) ) ) ).
fof(rc2_xcmplx_0, axiom,  (? [A] : v1_xcmplx_0(A)) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc2_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc3_card_1, axiom,  (? [A] :  ~ (v1_finset_1(A)) ) ).
fof(rc3_int_1, axiom,  (? [A] : v2_int_1(A)) ).
fof(rc3_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v6_membered(A) & v7_membered(A)) ) ) ).
fof(rc3_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc3_newton03, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  ~ (v1_pythtrip(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(rc3_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc3_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ).
fof(rc4_card_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc4_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(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(rc4_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc4_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ).
fof(rc5_card_1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  & v1_card_1(A)) ) ) ) ) ) ).
fof(rc5_nat_1, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v1_xreal_0(A) &  (v1_finset_1(A) & v1_card_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc5_ordinal5, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v5_ordinal1(A) &  (v1_ordinal2(A) & v6_ordinal5(A)) ) ) ) ) ) ).
fof(rc5_xcmplx_0, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A)) ) ).
fof(rc5_xreal_0, axiom,  (? [A] :  (v8_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc5_xxreal_0, axiom,  (? [A] :  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ).
fof(rc6_newton03, axiom,  (? [A] :  (v1_xreal_0(A) &  (v1_int_1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ~ (v1_pythtrip(A)) ) ) ) ) ) ).
fof(rc6_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc7_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] : v3_card_1(B, A)) ) ) ).
fof(rc7_newton03, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  & v1_pythtrip(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc7_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(rc8_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (v1_relat_1(B) &  (v1_funct_1(B) & v3_card_1(B, A)) ) ) ) ) ).
fof(rc8_newton03, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc9_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v5_finset_1(A)) ) ) ).
fof(rc9_newton03, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  ( ~ (v1_zfmisc_1(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  & v1_pythtrip(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc9_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(redefinition_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => k1_nat_1(A, B)=k2_xcmplx_0(A, B)) ) ).
fof(redefinition_k3_finseq_2, axiom,  (! [A] : k3_finseq_2(A)=k13_finseq_1(A)) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
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_r116, axiom, r1_xxreal_0(10, 116)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r117, axiom, r1_xxreal_0(10, 117)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r118, axiom, r1_xxreal_0(10, 118)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r119, axiom, r1_xxreal_0(10, 119)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r120, axiom, r1_xxreal_0(10, 120)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r121, axiom, r1_xxreal_0(10, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r122, axiom, r1_xxreal_0(10, 122)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r123, axiom, r1_xxreal_0(10, 123)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r124, axiom, r1_xxreal_0(10, 124)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r125, axiom, r1_xxreal_0(10, 125)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r126, axiom, r1_xxreal_0(10, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r2, axiom,  ~ (r1_xxreal_0(10, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r116_r1, axiom,  ~ (r1_xxreal_0(116, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r116_r10, axiom,  ~ (r1_xxreal_0(116, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r116_r116, axiom, r1_xxreal_0(116, 116)).
fof(rqLessOrEqual__r1_xxreal_0__r116_r117, axiom, r1_xxreal_0(116, 117)).
fof(rqLessOrEqual__r1_xxreal_0__r116_r118, axiom, r1_xxreal_0(116, 118)).
fof(rqLessOrEqual__r1_xxreal_0__r116_r119, axiom, r1_xxreal_0(116, 119)).
fof(rqLessOrEqual__r1_xxreal_0__r116_r120, axiom, r1_xxreal_0(116, 120)).
fof(rqLessOrEqual__r1_xxreal_0__r116_r121, axiom, r1_xxreal_0(116, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r116_r122, axiom, r1_xxreal_0(116, 122)).
fof(rqLessOrEqual__r1_xxreal_0__r116_r123, axiom, r1_xxreal_0(116, 123)).
fof(rqLessOrEqual__r1_xxreal_0__r116_r124, axiom, r1_xxreal_0(116, 124)).
fof(rqLessOrEqual__r1_xxreal_0__r116_r125, axiom, r1_xxreal_0(116, 125)).
fof(rqLessOrEqual__r1_xxreal_0__r116_r126, axiom, r1_xxreal_0(116, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r116_r2, axiom,  ~ (r1_xxreal_0(116, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r117_r1, axiom,  ~ (r1_xxreal_0(117, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r117_r10, axiom,  ~ (r1_xxreal_0(117, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r117_r116, axiom,  ~ (r1_xxreal_0(117, 116)) ).
fof(rqLessOrEqual__r1_xxreal_0__r117_r117, axiom, r1_xxreal_0(117, 117)).
fof(rqLessOrEqual__r1_xxreal_0__r117_r118, axiom, r1_xxreal_0(117, 118)).
fof(rqLessOrEqual__r1_xxreal_0__r117_r119, axiom, r1_xxreal_0(117, 119)).
fof(rqLessOrEqual__r1_xxreal_0__r117_r120, axiom, r1_xxreal_0(117, 120)).
fof(rqLessOrEqual__r1_xxreal_0__r117_r121, axiom, r1_xxreal_0(117, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r117_r122, axiom, r1_xxreal_0(117, 122)).
fof(rqLessOrEqual__r1_xxreal_0__r117_r123, axiom, r1_xxreal_0(117, 123)).
fof(rqLessOrEqual__r1_xxreal_0__r117_r124, axiom, r1_xxreal_0(117, 124)).
fof(rqLessOrEqual__r1_xxreal_0__r117_r125, axiom, r1_xxreal_0(117, 125)).
fof(rqLessOrEqual__r1_xxreal_0__r117_r126, axiom, r1_xxreal_0(117, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r117_r2, axiom,  ~ (r1_xxreal_0(117, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r118_r1, axiom,  ~ (r1_xxreal_0(118, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r118_r10, axiom,  ~ (r1_xxreal_0(118, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r118_r116, axiom,  ~ (r1_xxreal_0(118, 116)) ).
fof(rqLessOrEqual__r1_xxreal_0__r118_r117, axiom,  ~ (r1_xxreal_0(118, 117)) ).
fof(rqLessOrEqual__r1_xxreal_0__r118_r118, axiom, r1_xxreal_0(118, 118)).
fof(rqLessOrEqual__r1_xxreal_0__r118_r119, axiom, r1_xxreal_0(118, 119)).
fof(rqLessOrEqual__r1_xxreal_0__r118_r120, axiom, r1_xxreal_0(118, 120)).
fof(rqLessOrEqual__r1_xxreal_0__r118_r121, axiom, r1_xxreal_0(118, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r118_r122, axiom, r1_xxreal_0(118, 122)).
fof(rqLessOrEqual__r1_xxreal_0__r118_r123, axiom, r1_xxreal_0(118, 123)).
fof(rqLessOrEqual__r1_xxreal_0__r118_r124, axiom, r1_xxreal_0(118, 124)).
fof(rqLessOrEqual__r1_xxreal_0__r118_r125, axiom, r1_xxreal_0(118, 125)).
fof(rqLessOrEqual__r1_xxreal_0__r118_r126, axiom, r1_xxreal_0(118, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r118_r2, axiom,  ~ (r1_xxreal_0(118, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r119_r1, axiom,  ~ (r1_xxreal_0(119, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r119_r10, axiom,  ~ (r1_xxreal_0(119, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r119_r116, axiom,  ~ (r1_xxreal_0(119, 116)) ).
fof(rqLessOrEqual__r1_xxreal_0__r119_r117, axiom,  ~ (r1_xxreal_0(119, 117)) ).
fof(rqLessOrEqual__r1_xxreal_0__r119_r119, axiom, r1_xxreal_0(119, 119)).
fof(rqLessOrEqual__r1_xxreal_0__r119_r120, axiom, r1_xxreal_0(119, 120)).
fof(rqLessOrEqual__r1_xxreal_0__r119_r121, axiom, r1_xxreal_0(119, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r119_r122, axiom, r1_xxreal_0(119, 122)).
fof(rqLessOrEqual__r1_xxreal_0__r119_r123, axiom, r1_xxreal_0(119, 123)).
fof(rqLessOrEqual__r1_xxreal_0__r119_r124, axiom, r1_xxreal_0(119, 124)).
fof(rqLessOrEqual__r1_xxreal_0__r119_r125, axiom, r1_xxreal_0(119, 125)).
fof(rqLessOrEqual__r1_xxreal_0__r119_r126, axiom, r1_xxreal_0(119, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r119_r2, axiom,  ~ (r1_xxreal_0(119, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r120_r1, axiom,  ~ (r1_xxreal_0(120, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r120_r10, axiom,  ~ (r1_xxreal_0(120, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r120_r116, axiom,  ~ (r1_xxreal_0(120, 116)) ).
fof(rqLessOrEqual__r1_xxreal_0__r120_r117, axiom,  ~ (r1_xxreal_0(120, 117)) ).
fof(rqLessOrEqual__r1_xxreal_0__r120_r120, axiom, r1_xxreal_0(120, 120)).
fof(rqLessOrEqual__r1_xxreal_0__r120_r121, axiom, r1_xxreal_0(120, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r120_r122, axiom, r1_xxreal_0(120, 122)).
fof(rqLessOrEqual__r1_xxreal_0__r120_r123, axiom, r1_xxreal_0(120, 123)).
fof(rqLessOrEqual__r1_xxreal_0__r120_r124, axiom, r1_xxreal_0(120, 124)).
fof(rqLessOrEqual__r1_xxreal_0__r120_r125, axiom, r1_xxreal_0(120, 125)).
fof(rqLessOrEqual__r1_xxreal_0__r120_r126, axiom, r1_xxreal_0(120, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r120_r2, axiom,  ~ (r1_xxreal_0(120, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r1, axiom,  ~ (r1_xxreal_0(121, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r10, axiom,  ~ (r1_xxreal_0(121, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r116, axiom,  ~ (r1_xxreal_0(121, 116)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r117, axiom,  ~ (r1_xxreal_0(121, 117)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r120, axiom,  ~ (r1_xxreal_0(121, 120)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r121, axiom, r1_xxreal_0(121, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r121_r122, axiom, r1_xxreal_0(121, 122)).
fof(rqLessOrEqual__r1_xxreal_0__r121_r123, axiom, r1_xxreal_0(121, 123)).
fof(rqLessOrEqual__r1_xxreal_0__r121_r124, axiom, r1_xxreal_0(121, 124)).
fof(rqLessOrEqual__r1_xxreal_0__r121_r125, axiom, r1_xxreal_0(121, 125)).
fof(rqLessOrEqual__r1_xxreal_0__r121_r126, axiom, r1_xxreal_0(121, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r121_r2, axiom,  ~ (r1_xxreal_0(121, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r122_r1, axiom,  ~ (r1_xxreal_0(122, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r122_r10, axiom,  ~ (r1_xxreal_0(122, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r122_r116, axiom,  ~ (r1_xxreal_0(122, 116)) ).
fof(rqLessOrEqual__r1_xxreal_0__r122_r117, axiom,  ~ (r1_xxreal_0(122, 117)) ).
fof(rqLessOrEqual__r1_xxreal_0__r122_r120, axiom,  ~ (r1_xxreal_0(122, 120)) ).
fof(rqLessOrEqual__r1_xxreal_0__r122_r121, axiom,  ~ (r1_xxreal_0(122, 121)) ).
fof(rqLessOrEqual__r1_xxreal_0__r122_r122, axiom, r1_xxreal_0(122, 122)).
fof(rqLessOrEqual__r1_xxreal_0__r122_r123, axiom, r1_xxreal_0(122, 123)).
fof(rqLessOrEqual__r1_xxreal_0__r122_r124, axiom, r1_xxreal_0(122, 124)).
fof(rqLessOrEqual__r1_xxreal_0__r122_r125, axiom, r1_xxreal_0(122, 125)).
fof(rqLessOrEqual__r1_xxreal_0__r122_r126, axiom, r1_xxreal_0(122, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r122_r2, axiom,  ~ (r1_xxreal_0(122, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r123_r1, axiom,  ~ (r1_xxreal_0(123, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r123_r10, axiom,  ~ (r1_xxreal_0(123, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r123_r116, axiom,  ~ (r1_xxreal_0(123, 116)) ).
fof(rqLessOrEqual__r1_xxreal_0__r123_r117, axiom,  ~ (r1_xxreal_0(123, 117)) ).
fof(rqLessOrEqual__r1_xxreal_0__r123_r120, axiom,  ~ (r1_xxreal_0(123, 120)) ).
fof(rqLessOrEqual__r1_xxreal_0__r123_r121, axiom,  ~ (r1_xxreal_0(123, 121)) ).
fof(rqLessOrEqual__r1_xxreal_0__r123_r122, axiom,  ~ (r1_xxreal_0(123, 122)) ).
fof(rqLessOrEqual__r1_xxreal_0__r123_r123, axiom, r1_xxreal_0(123, 123)).
fof(rqLessOrEqual__r1_xxreal_0__r123_r124, axiom, r1_xxreal_0(123, 124)).
fof(rqLessOrEqual__r1_xxreal_0__r123_r125, axiom, r1_xxreal_0(123, 125)).
fof(rqLessOrEqual__r1_xxreal_0__r123_r126, axiom, r1_xxreal_0(123, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r123_r2, axiom,  ~ (r1_xxreal_0(123, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r124_r1, axiom,  ~ (r1_xxreal_0(124, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r124_r10, axiom,  ~ (r1_xxreal_0(124, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r124_r116, axiom,  ~ (r1_xxreal_0(124, 116)) ).
fof(rqLessOrEqual__r1_xxreal_0__r124_r117, axiom,  ~ (r1_xxreal_0(124, 117)) ).
fof(rqLessOrEqual__r1_xxreal_0__r124_r120, axiom,  ~ (r1_xxreal_0(124, 120)) ).
fof(rqLessOrEqual__r1_xxreal_0__r124_r121, axiom,  ~ (r1_xxreal_0(124, 121)) ).
fof(rqLessOrEqual__r1_xxreal_0__r124_r122, axiom,  ~ (r1_xxreal_0(124, 122)) ).
fof(rqLessOrEqual__r1_xxreal_0__r124_r123, axiom,  ~ (r1_xxreal_0(124, 123)) ).
fof(rqLessOrEqual__r1_xxreal_0__r124_r124, axiom, r1_xxreal_0(124, 124)).
fof(rqLessOrEqual__r1_xxreal_0__r124_r125, axiom, r1_xxreal_0(124, 125)).
fof(rqLessOrEqual__r1_xxreal_0__r124_r126, axiom, r1_xxreal_0(124, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r124_r2, axiom,  ~ (r1_xxreal_0(124, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r125_r1, axiom,  ~ (r1_xxreal_0(125, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r125_r10, axiom,  ~ (r1_xxreal_0(125, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r125_r116, axiom,  ~ (r1_xxreal_0(125, 116)) ).
fof(rqLessOrEqual__r1_xxreal_0__r125_r117, axiom,  ~ (r1_xxreal_0(125, 117)) ).
fof(rqLessOrEqual__r1_xxreal_0__r125_r120, axiom,  ~ (r1_xxreal_0(125, 120)) ).
fof(rqLessOrEqual__r1_xxreal_0__r125_r121, axiom,  ~ (r1_xxreal_0(125, 121)) ).
fof(rqLessOrEqual__r1_xxreal_0__r125_r122, axiom,  ~ (r1_xxreal_0(125, 122)) ).
fof(rqLessOrEqual__r1_xxreal_0__r125_r123, axiom,  ~ (r1_xxreal_0(125, 123)) ).
fof(rqLessOrEqual__r1_xxreal_0__r125_r124, axiom,  ~ (r1_xxreal_0(125, 124)) ).
fof(rqLessOrEqual__r1_xxreal_0__r125_r125, axiom, r1_xxreal_0(125, 125)).
fof(rqLessOrEqual__r1_xxreal_0__r125_r126, axiom, r1_xxreal_0(125, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r125_r2, axiom,  ~ (r1_xxreal_0(125, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r1, axiom,  ~ (r1_xxreal_0(126, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r10, axiom,  ~ (r1_xxreal_0(126, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r116, axiom,  ~ (r1_xxreal_0(126, 116)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r117, axiom,  ~ (r1_xxreal_0(126, 117)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r118, axiom,  ~ (r1_xxreal_0(126, 118)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r120, axiom,  ~ (r1_xxreal_0(126, 120)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r121, axiom,  ~ (r1_xxreal_0(126, 121)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r122, axiom,  ~ (r1_xxreal_0(126, 122)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r123, axiom,  ~ (r1_xxreal_0(126, 123)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r124, axiom,  ~ (r1_xxreal_0(126, 124)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r125, axiom,  ~ (r1_xxreal_0(126, 125)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r126, axiom, r1_xxreal_0(126, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r126_r2, axiom,  ~ (r1_xxreal_0(126, 2)) ).
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_r116, axiom, r1_xxreal_0(1, 116)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r117, axiom, r1_xxreal_0(1, 117)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r118, axiom, r1_xxreal_0(1, 118)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r119, axiom, r1_xxreal_0(1, 119)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r120, axiom, r1_xxreal_0(1, 120)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r121, axiom, r1_xxreal_0(1, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r122, axiom, r1_xxreal_0(1, 122)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r123, axiom, r1_xxreal_0(1, 123)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r124, axiom, r1_xxreal_0(1, 124)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r125, axiom, r1_xxreal_0(1, 125)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r126, axiom, r1_xxreal_0(1, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r2, axiom, r1_xxreal_0(1, 2)).
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_r116, axiom, r1_xxreal_0(2, 116)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r117, axiom, r1_xxreal_0(2, 117)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r118, axiom, r1_xxreal_0(2, 118)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r119, axiom, r1_xxreal_0(2, 119)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r120, axiom, r1_xxreal_0(2, 120)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r121, axiom, r1_xxreal_0(2, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r122, axiom, r1_xxreal_0(2, 122)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r123, axiom, r1_xxreal_0(2, 123)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r124, axiom, r1_xxreal_0(2, 124)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r125, axiom, r1_xxreal_0(2, 125)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r126, axiom, r1_xxreal_0(2, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r2, axiom, r1_xxreal_0(2, 2)).
fof(rqRealAdd__k2_xcmplx_0__r10_r116_r126, axiom, k2_xcmplx_0(10, 116)=126).
fof(rqRealAdd__k2_xcmplx_0__r116_r10_r126, axiom, k2_xcmplx_0(116, 10)=126).
fof(rqRealAdd__k2_xcmplx_0__r116_r1_r117, axiom, k2_xcmplx_0(116, 1)=117).
fof(rqRealAdd__k2_xcmplx_0__r116_r2_r118, axiom, k2_xcmplx_0(116, 2)=118).
fof(rqRealAdd__k2_xcmplx_0__r117_r1_r118, axiom, k2_xcmplx_0(117, 1)=118).
fof(rqRealAdd__k2_xcmplx_0__r117_r2_r119, axiom, k2_xcmplx_0(117, 2)=119).
fof(rqRealAdd__k2_xcmplx_0__r118_r1_r119, axiom, k2_xcmplx_0(118, 1)=119).
fof(rqRealAdd__k2_xcmplx_0__r119_r1_r120, axiom, k2_xcmplx_0(119, 1)=120).
fof(rqRealAdd__k2_xcmplx_0__r120_r1_r121, axiom, k2_xcmplx_0(120, 1)=121).
fof(rqRealAdd__k2_xcmplx_0__r120_r2_r122, axiom, k2_xcmplx_0(120, 2)=122).
fof(rqRealAdd__k2_xcmplx_0__r121_r1_r122, axiom, k2_xcmplx_0(121, 1)=122).
fof(rqRealAdd__k2_xcmplx_0__r121_r2_r123, axiom, k2_xcmplx_0(121, 2)=123).
fof(rqRealAdd__k2_xcmplx_0__r122_r1_r123, axiom, k2_xcmplx_0(122, 1)=123).
fof(rqRealAdd__k2_xcmplx_0__r123_r1_r124, axiom, k2_xcmplx_0(123, 1)=124).
fof(rqRealAdd__k2_xcmplx_0__r124_r1_r125, axiom, k2_xcmplx_0(124, 1)=125).
fof(rqRealAdd__k2_xcmplx_0__r124_r2_r126, axiom, k2_xcmplx_0(124, 2)=126).
fof(rqRealAdd__k2_xcmplx_0__r125_r1_r126, axiom, k2_xcmplx_0(125, 1)=126).
fof(rqRealAdd__k2_xcmplx_0__r1_r116_r117, axiom, k2_xcmplx_0(1, 116)=117).
fof(rqRealAdd__k2_xcmplx_0__r1_r117_r118, axiom, k2_xcmplx_0(1, 117)=118).
fof(rqRealAdd__k2_xcmplx_0__r1_r118_r119, axiom, k2_xcmplx_0(1, 118)=119).
fof(rqRealAdd__k2_xcmplx_0__r1_r119_r120, axiom, k2_xcmplx_0(1, 119)=120).
fof(rqRealAdd__k2_xcmplx_0__r1_r120_r121, axiom, k2_xcmplx_0(1, 120)=121).
fof(rqRealAdd__k2_xcmplx_0__r1_r121_r122, axiom, k2_xcmplx_0(1, 121)=122).
fof(rqRealAdd__k2_xcmplx_0__r1_r122_r123, axiom, k2_xcmplx_0(1, 122)=123).
fof(rqRealAdd__k2_xcmplx_0__r1_r123_r124, axiom, k2_xcmplx_0(1, 123)=124).
fof(rqRealAdd__k2_xcmplx_0__r1_r124_r125, axiom, k2_xcmplx_0(1, 124)=125).
fof(rqRealAdd__k2_xcmplx_0__r1_r125_r126, axiom, k2_xcmplx_0(1, 125)=126).
fof(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom, k2_xcmplx_0(1, 1)=2).
fof(rqRealAdd__k2_xcmplx_0__r2_r116_r118, axiom, k2_xcmplx_0(2, 116)=118).
fof(rqRealAdd__k2_xcmplx_0__r2_r117_r119, axiom, k2_xcmplx_0(2, 117)=119).
fof(rqRealAdd__k2_xcmplx_0__r2_r118_r120, axiom, k2_xcmplx_0(2, 118)=120).
fof(rqRealAdd__k2_xcmplx_0__r2_r119_r121, axiom, k2_xcmplx_0(2, 119)=121).
fof(rqRealAdd__k2_xcmplx_0__r2_r120_r122, axiom, k2_xcmplx_0(2, 120)=122).
fof(rqRealAdd__k2_xcmplx_0__r2_r121_r123, axiom, k2_xcmplx_0(2, 121)=123).
fof(rqRealAdd__k2_xcmplx_0__r2_r122_r124, axiom, k2_xcmplx_0(2, 122)=124).
fof(rqRealAdd__k2_xcmplx_0__r2_r124_r126, axiom, k2_xcmplx_0(2, 124)=126).
fof(spc10_boole, axiom,  ~ (v1_xboole_0(10)) ).
fof(spc10_numerals, axiom,  (v2_xxreal_0(10) & m1_subset_1(10, k4_ordinal1)) ).
fof(spc116_boole, axiom,  ~ (v1_xboole_0(116)) ).
fof(spc116_numerals, axiom,  (v2_xxreal_0(116) & m1_subset_1(116, k4_ordinal1)) ).
fof(spc117_boole, axiom,  ~ (v1_xboole_0(117)) ).
fof(spc117_numerals, axiom,  (v2_xxreal_0(117) & m1_subset_1(117, k4_ordinal1)) ).
fof(spc118_boole, axiom,  ~ (v1_xboole_0(118)) ).
fof(spc118_numerals, axiom,  (v2_xxreal_0(118) & m1_subset_1(118, k4_ordinal1)) ).
fof(spc119_boole, axiom,  ~ (v1_xboole_0(119)) ).
fof(spc119_numerals, axiom,  (v2_xxreal_0(119) & m1_subset_1(119, k4_ordinal1)) ).
fof(spc120_boole, axiom,  ~ (v1_xboole_0(120)) ).
fof(spc120_numerals, axiom,  (v2_xxreal_0(120) & m1_subset_1(120, k4_ordinal1)) ).
fof(spc121_boole, axiom,  ~ (v1_xboole_0(121)) ).
fof(spc121_numerals, axiom,  (v2_xxreal_0(121) & m1_subset_1(121, k4_ordinal1)) ).
fof(spc122_boole, axiom,  ~ (v1_xboole_0(122)) ).
fof(spc122_numerals, axiom,  (v2_xxreal_0(122) & m1_subset_1(122, k4_ordinal1)) ).
fof(spc123_boole, axiom,  ~ (v1_xboole_0(123)) ).
fof(spc123_numerals, axiom,  (v2_xxreal_0(123) & m1_subset_1(123, k4_ordinal1)) ).
fof(spc124_boole, axiom,  ~ (v1_xboole_0(124)) ).
fof(spc124_numerals, axiom,  (v2_xxreal_0(124) & m1_subset_1(124, k4_ordinal1)) ).
fof(spc125_boole, axiom,  ~ (v1_xboole_0(125)) ).
fof(spc125_numerals, axiom,  (v2_xxreal_0(125) & m1_subset_1(125, k4_ordinal1)) ).
fof(spc126_boole, axiom,  ~ (v1_xboole_0(126)) ).
fof(spc126_numerals, axiom,  (v2_xxreal_0(126) & m1_subset_1(126, 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(spc6_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k2_xcmplx_0(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(A, k2_xcmplx_0(B, C))) ) ).
fof(t117_xprimes0, axiom,  ~ (v1_int_2(117)) ).
fof(t118_xprimes0, axiom,  ~ (v1_int_2(118)) ).
fof(t119_xprimes0, axiom,  ~ (v1_int_2(119)) ).
fof(t120_xprimes0, axiom,  ~ (v1_int_2(120)) ).
fof(t121_xprimes0, axiom,  ~ (v1_int_2(121)) ).
fof(t122_xprimes0, axiom,  ~ (v1_int_2(122)) ).
fof(t123_xprimes0, axiom,  ~ (v1_int_2(123)) ).
fof(t124_xprimes0, axiom,  ~ (v1_int_2(124)) ).
fof(t125_xprimes0, axiom,  ~ (v1_int_2(125)) ).
fof(t13_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(k1_nat_1(B, 1), A))  <=> r1_xxreal_0(A, B)) ) ) ) ) ).
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_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(A, B) & v3_xxreal_0(B))  => v3_xxreal_0(A)) ) ) ) ) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t3_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v3_xxreal_0(A))  & v3_xxreal_0(B)) ) ) ) ) ) ) ).
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(t5_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(B) |  (v3_xxreal_0(A) | v2_xxreal_0(B)) ) ) ) ) ) ) ).
fof(t6_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
fof(t6_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(A) |  (v2_xxreal_0(B) | v3_xxreal_0(A)) ) ) ) ) ) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t7_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(B)) ) ) ) ) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
fof(t8_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v3_xxreal_0(B))  &  ~ (v2_xxreal_0(A)) ) ) ) ) ) ) ) ).
