% Mizar problem: t38_newton06,newton06,1439,7 
fof(t38_newton06, conjecture,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (k3_int_2(k3_xcmplx_0(A, B), k3_xcmplx_0(C, D))=1 => k3_int_2(A, C)=1) ) ) ) ) ) ) ) ) ).
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_complex3, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (v7_ordinal1(A) & v1_complex3(A)) ) ) ).
fof(cc11_complex3, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v3_complex3(A))  =>  (v1_xcmplx_0(A) &  ~ (v1_complex3(A)) ) ) ) ).
fof(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(cc12_complex3, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v2_complex3(A))  =>  (v1_xcmplx_0(A) &  ~ (v1_complex3(A)) ) ) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc13_complex3, axiom,  (! [A] :  ( ( ~ (v3_xxreal_0(A))  &  (v1_xreal_0(A) &  ~ (v2_complex3(A)) ) )  =>  (v2_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  & v1_xreal_0(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(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_complex3, axiom,  (! [A] :  ( (v8_ordinal1(A) & v1_xcmplx_0(A))  =>  (v1_xcmplx_0(A) & v3_complex3(A)) ) ) ).
fof(cc1_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v3_ordinal1(A) & v7_ordinal1(A)) ) ) ).
fof(cc1_newton05, axiom,  (! [A] :  ( (v1_zfmisc_1(A) &  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) )  =>  (v7_ordinal1(A) &  ~ (v1_abian(A)) ) ) ) ).
fof(cc1_newton06, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v3_complex3(A)) )  =>  (v1_int_1(A) & v1_complex3(A)) ) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc1_pythtrip, axiom,  (! [A] :  (v1_pythtrip(A) => v7_ordinal1(A)) ) ).
fof(cc1_xcmplx_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xcmplx_0(A)) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc2_abian, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  =>  ( ~ (v8_ordinal1(A))  & v1_int_1(A)) ) ) ).
fof(cc2_complex3, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v1_complex3(A))  =>  (v1_xcmplx_0(A) &  ~ (v2_complex3(A)) ) ) ) ).
fof(cc2_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_int_1(A)) ) ).
fof(cc2_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc2_nat_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_nat_6(B, A))  =>  (v7_ordinal1(B) & v1_ec_pf_2(B, A)) ) ) ) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(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(cc3_complex3, axiom,  (! [A] :  ( (v1_xcmplx_0(A) &  ~ (v2_complex3(A)) )  =>  ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A)) ) ) ).
fof(cc3_int_1, axiom,  (! [A] :  (v1_int_1(A) => v1_xreal_0(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_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(cc4_complex3, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v1_complex3(A))  =>  (v1_xcmplx_0(A) &  ~ (v3_complex3(A)) ) ) ) ).
fof(cc4_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v2_int_1(A)) ) ).
fof(cc4_nat_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (v7_ordinal1(A) &  ~ (v2_xxreal_0(A)) ) ) ) ).
fof(cc4_nat_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_nat_6(B, k2_xcmplx_0(A, 1)))  =>  (v7_ordinal1(B) & v1_nat_6(B, 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_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(cc5_complex3, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) & v2_complex3(A)) )  =>  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  ~ (v3_complex3(A)) ) ) ) ) ).
fof(cc5_int_1, axiom,  (! [A] :  (v2_int_1(A) => v1_int_1(A)) ) ).
fof(cc5_nat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v8_ordinal1(A)) ) ).
fof(cc5_nat_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_nat_6(B, A))  =>  (v7_ordinal1(B) & v1_ec_pf_2(B, k2_xcmplx_0(A, 1))) ) ) ) ) ).
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_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_complex3, axiom,  (! [A] :  ( (v1_int_1(A) & v2_complex3(A))  =>  (v8_ordinal1(A) & v1_int_1(A)) ) ) ).
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_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_complex3, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v7_ordinal1(A))  =>  (v7_ordinal1(A) & v3_complex3(A)) ) ) ).
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_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_complex3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_complex3(A)) )  =>  (v1_zfmisc_1(A) & v7_ordinal1(A)) ) ) ).
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_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_complex3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v7_ordinal1(A) &  ~ (v2_complex3(A)) ) ) ) ).
fof(cc9_nat_6, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v7_ordinal1(A) &  ~ (v1_abian(A)) ) )  =>  (v7_ordinal1(A) & v1_nat_6(A, 2)) ) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(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(commutativity_k3_int_2, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => k3_int_2(A, B)=k3_int_2(B, A)) ) ).
fof(commutativity_k3_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k3_xcmplx_0(A, B)=k3_xcmplx_0(B, A)) ) ).
fof(commutativity_k6_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k6_nat_d(A, B)=k6_nat_d(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(d3_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (r1_int_2(A, B) <=> k3_int_2(A, B)=1) ) ) ) ) ).
fof(dt_k1_int_2, axiom,  (! [A] :  (v1_int_1(A) => m1_subset_1(k1_int_2(A), k4_ordinal1)) ) ).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k3_int_2, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v7_ordinal1(k3_int_2(A, B))) ) ).
fof(dt_k3_xcmplx_0, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k6_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => m1_subset_1(k6_nat_d(A, B), k4_ordinal1)) ) ).
fof(dt_k9_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xreal_0(k9_complex1(A))) ) ).
fof(dt_m1_subset_1, axiom, $true).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(fc100_complex3, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) &  (v1_xreal_0(A) & v2_complex3(A)) )  &  (v3_xxreal_0(B) &  (v1_xreal_0(B) & v2_complex3(B)) ) )  => v2_complex3(k2_xcmplx_0(A, B))) ) ).
fof(fc101_complex3, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) &  (v1_xreal_0(A) &  ~ (v1_complex3(A)) ) )  &  (v3_xxreal_0(B) &  (v1_xreal_0(B) &  ~ (v1_complex3(B)) ) ) )  =>  ~ (v1_complex3(k2_xcmplx_0(A, B))) ) ) ).
fof(fc10_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  =>  ~ (v1_abian(k2_xcmplx_0(A, B))) ) ) ).
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_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  =>  ~ (v1_abian(k2_xcmplx_0(B, A))) ) ) ).
fof(fc11_newton03, axiom,  (! [A] :  (v1_int_1(A) => v1_pythtrip(k3_xcmplx_0(A, 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_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ~ (v1_abian(A)) )  &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  => v1_abian(k2_xcmplx_0(A, B))) ) ).
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(fc15_newton03, axiom,  (! [A] :  (v1_int_1(A) => v1_pythtrip(k3_xcmplx_0(A, A))) ) ).
fof(fc16_abian, axiom,  (! [A] :  ( (v1_int_1(A) & v1_abian(A))  => v1_abian(k2_xcmplx_0(A, 2))) ) ).
fof(fc16_newton03, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_pythtrip(A))  &  (v7_ordinal1(B) & v1_pythtrip(B)) )  =>  (v7_ordinal1(k3_int_2(A, B)) & v1_pythtrip(k3_int_2(A, B))) ) ) ).
fof(fc17_abian, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  =>  ~ (v1_abian(k2_xcmplx_0(A, 2))) ) ) ).
fof(fc18_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_pythtrip(A))  &  (v1_int_1(B) & v1_pythtrip(B)) )  =>  (v7_ordinal1(k3_int_2(A, B)) & v1_pythtrip(k3_int_2(A, B))) ) ) ).
fof(fc1_abian, axiom,  (! [A] :  (v1_int_1(A) => v1_abian(k3_xcmplx_0(2, 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_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_newton06, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v3_complex3(A))  =>  (v1_xreal_0(k9_complex1(A)) & v3_complex3(k9_complex1(A))) ) ) ).
fof(fc20_newton03, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  =>  (v1_xreal_0(k9_complex1(A)) &  ~ (v1_abian(k9_complex1(A))) ) ) ) ).
fof(fc20_newton06, axiom,  (! [A, B] :  ( ( (v1_xcmplx_0(A) &  ~ (v1_int_1(A)) )  &  ( ~ (v8_ordinal1(B))  & v1_int_1(B)) )  =>  ~ (v1_int_1(k2_xcmplx_0(A, B))) ) ) ).
fof(fc22_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v1_int_1(B) & v1_abian(B)) )  =>  (v7_ordinal1(k3_int_2(A, B)) & v1_abian(k3_int_2(A, B))) ) ) ).
fof(fc23_newton03, axiom,  (! [A, B] :  ( (v1_int_1(A) &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  =>  (v7_ordinal1(k3_int_2(A, B)) &  ~ (v1_abian(k3_int_2(A, B))) ) ) ) ).
fof(fc23_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc24_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v1_int_1(B) & v1_abian(B)) )  => v1_abian(k2_xcmplx_0(A, B))) ) ).
fof(fc24_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k3_xcmplx_0(B, A))) ) ) ).
fof(fc25_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc26_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v1_int_1(B) & v1_abian(B)) )  => v1_abian(k3_xcmplx_0(A, B))) ) ).
fof(fc26_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc27_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ~ (v1_abian(A)) )  &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  => v1_abian(k2_xcmplx_0(A, B))) ) ).
fof(fc29_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ~ (v1_abian(A)) )  &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  =>  ~ (v1_abian(k3_xcmplx_0(A, B))) ) ) ).
fof(fc2_abian, axiom,  (! [A] :  ( (v1_int_1(A) & v1_abian(A))  =>  ~ (v1_abian(k2_xcmplx_0(A, 1))) ) ) ).
fof(fc2_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k3_xcmplx_0(A, B))) ) ).
fof(fc2_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k3_xcmplx_0(A, B))) ) ).
fof(fc2_newton06, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v2_complex3(A))  =>  (v1_xreal_0(k9_complex1(A)) & v2_complex3(k9_complex1(A))) ) ) ).
fof(fc2_pythtrip, axiom,  (! [A, B] :  ( (v1_pythtrip(A) & v1_pythtrip(B))  => v1_pythtrip(k3_xcmplx_0(A, B))) ) ).
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_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ~ (v1_abian(A)) )  &  (v1_int_1(B) & v1_abian(B)) )  =>  ~ (v1_abian(k2_xcmplx_0(A, B))) ) ) ).
fof(fc32_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ~ (v1_abian(A)) )  &  (v1_int_1(B) & v1_abian(B)) )  => v1_abian(k3_xcmplx_0(A, B))) ) ).
fof(fc35_newton03, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  &  (v1_int_1(A) & v1_pythtrip(A)) )  &  (v1_int_1(B) &  ~ (v1_pythtrip(B)) ) )  =>  ~ (v1_pythtrip(k3_xcmplx_0(A, B))) ) ) ).
fof(fc37_newton05, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  =>  ~ (v1_pythtrip(k3_xcmplx_0(2, 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_abian, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  => v1_abian(k2_xcmplx_0(A, 1))) ) ).
fof(fc3_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(A, B))) ) ) ).
fof(fc3_newton03, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  & v1_int_1(B))  =>  (v7_ordinal1(k3_int_2(A, B)) &  ~ (v8_ordinal1(k3_int_2(A, B))) ) ) ) ).
fof(fc3_newton06, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v1_complex3(A))  =>  (v1_xreal_0(k9_complex1(A)) & v1_complex3(k9_complex1(A))) ) ) ).
fof(fc3_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_xcmplx_0(k3_xcmplx_0(A, B))) ) ).
fof(fc40_newton03, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_pythtrip(A))  &  (v7_ordinal1(B) &  ~ (v1_pythtrip(B)) ) )  =>  ~ (v1_pythtrip(k3_xcmplx_0(A, B))) ) ) ).
fof(fc45_newton03, axiom,  (! [A] :  ( (v1_int_1(A) & v1_pythtrip(A))  =>  (v1_xreal_0(k9_complex1(A)) & v1_pythtrip(k9_complex1(A))) ) ) ).
fof(fc46_newton03, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  =>  ( ~ (v8_ordinal1(k9_complex1(A)))  & v1_xreal_0(k9_complex1(A))) ) ) ).
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(fc52_newton06, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_int_1(A) & v1_pythtrip(A)) )  =>  ~ (v1_pythtrip(k3_xcmplx_0(2, A))) ) ) ).
fof(fc53_newton06, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_int_1(A) & v1_pythtrip(A)) )  =>  ~ (v1_pythtrip(k2_xcmplx_0(A, A))) ) ) ).
fof(fc56_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v1_abian(k3_xcmplx_0(A, B))) ) ).
fof(fc58_complex3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ (v3_xxreal_0(k2_xcmplx_0(k9_complex1(A), A))) ) ) ).
fof(fc58_newton03, axiom,  (! [A, B] :  ( (v1_int_1(A) &  (v7_ordinal1(B) & v8_ordinal1(B)) )  => v1_abian(k3_xcmplx_0(A, B))) ) ).
fof(fc5_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc64_complex3, axiom,  (! [A, B] :  ( ( (v1_xcmplx_0(A) & v1_complex3(A))  &  (v1_xcmplx_0(B) &  ~ (v2_complex3(B)) ) )  => v1_complex3(k3_xcmplx_0(A, B))) ) ).
fof(fc65_complex3, axiom,  (! [A, B] :  ( ( (v1_xcmplx_0(A) &  ~ (v2_complex3(A)) )  &  (v1_xcmplx_0(B) &  ~ (v2_complex3(B)) ) )  =>  ~ (v2_complex3(k3_xcmplx_0(A, B))) ) ) ).
fof(fc66_complex3, axiom,  (! [A, B] :  ( ( (v1_xcmplx_0(A) & v2_complex3(A))  &  (v1_xcmplx_0(B) &  ~ (v1_complex3(B)) ) )  => v2_complex3(k3_xcmplx_0(A, B))) ) ).
fof(fc67_complex3, axiom,  (! [A, B] :  ( ( (v1_xcmplx_0(A) &  ~ (v1_complex3(A)) )  &  (v1_xcmplx_0(B) &  ~ (v1_complex3(B)) ) )  =>  ~ (v1_complex3(k3_xcmplx_0(A, B))) ) ) ).
fof(fc68_complex3, axiom,  (! [A, B] :  ( ( (v1_xcmplx_0(A) & v3_complex3(A))  &  (v1_xcmplx_0(B) & v3_complex3(B)) )  => v3_complex3(k3_xcmplx_0(A, B))) ) ).
fof(fc6_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  & v1_int_1(B))  => v1_abian(k3_xcmplx_0(A, B))) ) ).
fof(fc6_newton03, axiom,  (! [A] :  (v1_int_1(A) =>  (v7_ordinal1(k9_complex1(A)) & v1_xreal_0(k9_complex1(A))) ) ) ).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc6_pythtrip, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ( ~ (v1_abian(A))  & v1_pythtrip(A)) )  &  (v1_int_1(B) &  ( ~ (v1_abian(B))  & v1_pythtrip(B)) ) )  =>  ~ (v1_pythtrip(k2_xcmplx_0(A, B))) ) ) ).
fof(fc6_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k3_xcmplx_0(A, B))) ) ).
fof(fc7_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  & v1_int_1(B))  => v1_abian(k3_xcmplx_0(B, A))) ) ).
fof(fc7_int_1, axiom,  (! [A] :  (v2_int_1(A) => v7_ordinal1(k2_xcmplx_0(A, 1))) ) ).
fof(fc7_newton03, axiom,  (! [A] :  ( (v1_int_1(A) & v1_abian(A))  =>  (v1_xreal_0(k9_complex1(A)) & v1_abian(k9_complex1(A))) ) ) ).
fof(fc8_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ~ (v1_abian(A)) )  &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  =>  ~ (v1_abian(k3_xcmplx_0(A, B))) ) ) ).
fof(fc8_complex3, axiom,  (! [A] :  ( (v1_xcmplx_0(A) &  ~ (v3_complex3(A)) )  =>  (v2_xxreal_0(k9_complex1(A)) & v1_xreal_0(k9_complex1(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_newton03, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  & v1_int_1(B))  =>  (v7_ordinal1(k3_int_2(A, B)) & v2_xxreal_0(k3_int_2(A, B))) ) ) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(fc8_xcmplx_0, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A))  &  ( ~ (v8_ordinal1(B))  & v1_xcmplx_0(B)) )  =>  ~ (v8_ordinal1(k3_xcmplx_0(A, B))) ) ) ).
fof(fc90_complex3, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) &  (v1_xreal_0(A) & v1_complex3(A)) )  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v1_complex3(k2_xcmplx_0(A, B))) ) ).
fof(fc91_complex3, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) &  (v1_xreal_0(A) & v1_complex3(A)) )  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v1_complex3(k2_xcmplx_0(A, B))) ) ).
fof(fc92_complex3, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) &  (v1_xreal_0(A) &  ~ (v2_complex3(A)) ) )  &  (v2_xxreal_0(B) & v1_xreal_0(B)) )  => v1_complex3(k2_xcmplx_0(A, B))) ) ).
fof(fc93_complex3, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) &  (v1_xreal_0(A) &  ~ (v2_complex3(A)) ) )  &  (v3_xxreal_0(B) & v1_xreal_0(B)) )  => v1_complex3(k2_xcmplx_0(A, B))) ) ).
fof(fc94_complex3, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) &  ~ (v1_complex3(A)) )  &  (v2_xxreal_0(B) &  (v1_xreal_0(B) & v1_complex3(B)) ) )  => v2_xxreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc95_complex3, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) & v2_complex3(A))  &  (v2_xxreal_0(B) &  (v1_xreal_0(B) &  ~ (v2_complex3(B)) ) ) )  => v2_xxreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc96_complex3, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) &  ~ (v1_complex3(A)) )  &  (v2_xxreal_0(B) &  (v1_xreal_0(B) &  ~ (v2_complex3(B)) ) ) )  =>  ~ (v3_xxreal_0(k2_xcmplx_0(A, B))) ) ) ).
fof(fc97_complex3, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) &  ~ (v1_complex3(A)) )  &  (v3_xxreal_0(B) &  (v1_xreal_0(B) & v1_complex3(B)) ) )  => v3_xxreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc98_complex3, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) & v2_complex3(A))  &  (v3_xxreal_0(B) &  (v1_xreal_0(B) &  ~ (v2_complex3(B)) ) ) )  => v3_xxreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc99_complex3, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) &  ~ (v1_complex3(A)) )  &  (v3_xxreal_0(B) &  (v1_xreal_0(B) &  ~ (v2_complex3(B)) ) ) )  =>  ~ (v2_xxreal_0(k2_xcmplx_0(A, B))) ) ) ).
fof(fc9_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v1_int_1(B) & v1_abian(B)) )  => v1_abian(k2_xcmplx_0(A, B))) ) ).
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(projectivity_k1_int_2, axiom,  (! [A] :  (v1_int_1(A) => k1_int_2(k1_int_2(A))=k1_int_2(A)) ) ).
fof(projectivity_k9_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k9_complex1(k9_complex1(A))=k9_complex1(A)) ) ).
fof(rc10_abian, 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_abian(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_newton06, axiom,  (? [A] :  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_abian(A) &  (v1_pythtrip(A) &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(rc10_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc11_newton03, axiom,  (? [A] :  (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_abian(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc11_newton06, axiom,  (? [A] :  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  ( ~ (v1_abian(A))  &  (v1_pythtrip(A) &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
fof(rc12_newton06, axiom,  (? [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_abian(A) &  (v1_pythtrip(A) &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_abian, 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_abian(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_complex3, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_xreal_0(A) & v1_complex3(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_nat_1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc1_nat_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (? [B] :  (v1_xcmplx_0(B) &  (v1_xreal_0(B) &  (v1_xxreal_0(B) & v1_nat_6(B, A)) ) ) ) ) ) ).
fof(rc1_newton03, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (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_abian(A))  &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_newton05, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_xxreal_0(A) &  (v1_int_1(A) & v1_abian(A)) ) ) ) ) ) ).
fof(rc1_newton06, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v1_abian(A) &  (v1_xxreal_0(A) & v3_complex3(A)) ) ) ) ) ) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
fof(rc1_pythtrip, 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_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_abian(A) & v1_pythtrip(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(rc2_abian, 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_abian(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_complex3, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  (v3_xxreal_0(A) &  (v1_xreal_0(A) & v1_complex3(A)) ) ) ) ) ) ) ).
fof(rc2_int_1, axiom,  (? [A] : v1_int_1(A)) ).
fof(rc2_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) & v8_ordinal1(A)) ) ).
fof(rc2_nat_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_ordinal1(B) &  (v2_ordinal1(B) &  (v3_ordinal1(B) &  (v7_ordinal1(B) &  (v1_xcmplx_0(B) &  (v1_xreal_0(B) &  (v1_int_1(B) &  (v2_int_1(B) &  ( ~ (v1_abian(B))  &  (v1_xxreal_0(B) &  ( ~ (v3_xxreal_0(B))  & v1_nat_6(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_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_abian(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_newton05, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(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_xxreal_0(A) &  (v2_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_int_1(A) &  (v2_int_1(A) &  ~ (v1_abian(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_newton06, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  ( ~ (v1_abian(A))  &  (v1_xxreal_0(A) & v3_complex3(A)) ) ) ) ) ) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_pythtrip, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_abian(A) & v1_pythtrip(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_complex3, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_xreal_0(A) & v2_complex3(A)) ) ) ) ) ) ) ).
fof(rc3_int_1, axiom,  (? [A] : v2_int_1(A)) ).
fof(rc3_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc3_nat_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_ordinal1(B) &  (v2_ordinal1(B) &  (v3_ordinal1(B) &  (v7_ordinal1(B) &  (v1_xcmplx_0(B) &  (v1_xreal_0(B) &  (v1_int_1(B) &  (v2_int_1(B) &  (v1_abian(B) &  (v1_xxreal_0(B) &  ( ~ (v3_xxreal_0(B))  & v1_nat_6(B, 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_newton06, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v1_xxreal_0(A) & v1_complex3(A)) ) ) ) ) ).
fof(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(rc3_pythtrip, 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_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  ( ~ (v1_abian(A))  & v1_pythtrip(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_complex3, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  (v3_xxreal_0(A) &  (v1_xreal_0(A) & v2_complex3(A)) ) ) ) ) ) ) ).
fof(rc4_newton06, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  ( ~ (v1_abian(A))  &  (v1_xxreal_0(A) & v1_complex3(A)) ) ) ) ) ) ) ).
fof(rc4_pythtrip, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  ( ~ (v1_abian(A))  & v1_pythtrip(A)) ) ) ) ) ) ) ) ) ) ) ) ).
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_abian, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) & v1_abian(A)) ) ) ) ) ).
fof(rc5_complex3, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  ( ~ (v1_complex3(A))  & v3_complex3(A)) ) ) ) ) ) ) ).
fof(rc5_newton06, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v1_abian(A) &  (v1_xxreal_0(A) & v1_complex3(A)) ) ) ) ) ) ).
fof(rc5_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc5_pythtrip, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v1_abian(A) & v1_pythtrip(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_abian, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  ~ (v1_abian(A)) ) ) ) ) ) ).
fof(rc6_complex3, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  ( ~ (v1_complex3(A))  & v3_complex3(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_newton06, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  & v1_complex3(A)) ) ) ) ) ) ) ) ).
fof(rc6_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc6_pythtrip, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  ( ~ (v1_abian(A))  & v1_pythtrip(A)) ) ) ) ) ) ).
fof(rc7_complex3, axiom,  (? [A] :  (v1_zfmisc_1(A) &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_xreal_0(A) &  (v1_int_1(A) & v2_int_1(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_newton06, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  (v3_xxreal_0(A) & v1_complex3(A)) ) ) ) ) ) ) ) ).
fof(rc7_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(rc8_complex3, axiom,  (? [A] :  (v1_zfmisc_1(A) &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_xreal_0(A) &  (v1_int_1(A) & v2_int_1(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_newton06, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  ( ~ (v1_int_1(A))  & v1_xxreal_0(A)) ) ) ) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc9_abian, 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_abian(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_newton06, axiom,  (? [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_abian(A))  &  (v1_pythtrip(A) &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc9_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rd17_newton03, axiom,  (! [A] :  (v7_ordinal1(A) => k1_int_2(A)=A) ) ).
fof(rd3_newton02, axiom,  (! [A] :  (v7_ordinal1(A) => k9_complex1(A)=A) ) ).
fof(rd4_newton02, axiom,  (! [A] :  (v7_ordinal1(A) => k3_int_2(A, k5_numbers)=A) ) ).
fof(redefinition_k1_int_2, axiom,  (! [A] :  (v1_int_1(A) => k1_int_2(A)=k9_complex1(A)) ) ).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1).
fof(redefinition_k6_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k6_nat_d(A, B)=k3_int_2(A, B)) ) ).
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__r0_r0, axiom, r1_xxreal_0(0, 0)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r1, axiom, r1_xxreal_0(0, 1)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r2, axiom, r1_xxreal_0(0, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r0, axiom,  ~ (r1_xxreal_0(1, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r1, axiom, r1_xxreal_0(1, 1)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r2, axiom, r1_xxreal_0(1, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r0, axiom,  ~ (r1_xxreal_0(2, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r1, axiom,  ~ (r1_xxreal_0(2, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r2, axiom, r1_xxreal_0(2, 2)).
fof(rqRealAdd__k2_xcmplx_0__r0_r0_r0, axiom, k2_xcmplx_0(0, 0)=0).
fof(rqRealAdd__k2_xcmplx_0__r0_r1_r1, axiom, k2_xcmplx_0(0, 1)=1).
fof(rqRealAdd__k2_xcmplx_0__r0_r2_r2, axiom, k2_xcmplx_0(0, 2)=2).
fof(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom, k2_xcmplx_0(1, 0)=1).
fof(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom, k2_xcmplx_0(1, 1)=2).
fof(rqRealAdd__k2_xcmplx_0__r2_r0_r2, axiom, k2_xcmplx_0(2, 0)=2).
fof(rqRealMult__k3_xcmplx_0__r0_r0_r0, axiom, k3_xcmplx_0(0, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom, k3_xcmplx_0(0, 1)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r2_r0, axiom, k3_xcmplx_0(0, 2)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, k3_xcmplx_0(1, 2)=2).
fof(rqRealMult__k3_xcmplx_0__r2_r0_r0, axiom, k3_xcmplx_0(2, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom, k3_xcmplx_0(2, 1)=2).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc2_numerals, axiom,  (v2_xxreal_0(2) & m1_subset_1(2, k4_ordinal1)) ).
fof(spc5_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(k3_xcmplx_0(A, C), k3_xcmplx_0(B, C))) ) ).
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(spc7_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(k3_xcmplx_0(A, B), C)=k3_xcmplx_0(A, k3_xcmplx_0(B, C))) ) ).
fof(symmetry_r1_int_2, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  =>  (r1_int_2(A, B) => r1_int_2(B, A)) ) ) ).
fof(t1_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_xcmplx_0(A, k5_numbers)=A) ) ).
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_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k5_numbers)=k5_numbers) ) ).
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(t34_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) => k3_int_2(A, B)=k3_int_2(k1_int_2(A), k1_int_2(B))) ) ) ) ).
fof(t3_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(1, A)=A) ) ).
fof(t3_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (r1_xxreal_0(k5_numbers, A) => r2_hidden(A, k4_ordinal1)) ) ) ).
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(t41_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_int_2(k3_xcmplx_0(A, B), k3_xcmplx_0(C, D)) => r1_int_2(A, C)) ) ) ) ) ) ) ) ) ).
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(t65_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k9_complex1(k3_xcmplx_0(A, B))=k3_xcmplx_0(k9_complex1(A), k9_complex1(B))) ) ) ) ).
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_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_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)) ) ) ) ) ) ) ) ).
