% Mizar problem: l61_number02,number02,1369,22 
fof(l61_number02, conjecture, k11_newton(5, 4)=k2_nat_1(k2_nat_1(k2_nat_1(5, 5), 5), 5)).
fof(cc1_number02, axiom,  (! [A] :  ( (v1_int_1(A) & v1_number02(A))  =>  (v2_xxreal_0(A) & v1_int_1(A)) ) ) ).
fof(cc3_number02, axiom,  (! [A] :  ( (v1_int_1(A) & v1_number02(A))  =>  (v1_int_1(A) &  ~ (v1_int_2(A)) ) ) ) ).
fof(cc6_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xcmplx_0(B)) ) ) ) ).
fof(cc7_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xxreal_0(B)) ) ) ) ).
fof(fc2_number02, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_number02(A))  &  (v1_int_1(B) & v1_number02(B)) )  => v1_number02(k3_xcmplx_0(A, B))) ) ).
fof(rc1_number02, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_xxreal_0(A) &  (v1_int_1(A) &  (v1_rat_1(A) & v1_number02(A)) ) ) ) ) ) ).
fof(rc2_number02, axiom,  (? [A] :  (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_finset_1(A) &  (v1_card_1(A) &  (v1_rat_1(A) & v1_number02(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(dt_k2_xcmplx_0, axiom, $true).
fof(cc10_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_nat_6(A, 2)) )  =>  (v7_ordinal1(A) &  (v1_int_2(A) &  ~ (v1_abian(A)) ) ) ) ) ).
fof(cc15_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  & v1_int_2(A)) ) ) ) ).
fof(cc1_int_2, axiom,  (! [A] :  ( (v1_int_1(A) & v1_int_2(A))  =>  (v7_ordinal1(A) & v1_int_1(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(cc2_newton03, axiom,  (! [A] :  ( (v1_int_1(A) & v1_int_2(A))  =>  (v1_int_1(A) &  ~ (v1_pythtrip(A)) ) ) ) ).
fof(cc2_number02, axiom,  (! [A] :  ( (v1_int_1(A) & v1_int_2(A))  =>  (v1_int_1(A) &  ~ (v1_number02(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(cc4_membered, axiom,  (! [A] :  (v3_membered(A) => v2_membered(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(cc5_membered, axiom,  (! [A] :  (v3_membered(A) => v1_membered(A)) ) ).
fof(cc8_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xreal_0(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_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(fc16_abian, axiom,  (! [A] :  ( (v1_int_1(A) & v1_abian(A))  => v1_abian(k2_xcmplx_0(A, 2))) ) ).
fof(fc17_abian, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  =>  ~ (v1_abian(k2_xcmplx_0(A, 2))) ) ) ).
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_number02, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  (v7_ordinal1(B) & v1_int_2(B)) )  =>  ~ (v1_int_2(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(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(fc2_abian, axiom,  (! [A] :  ( (v1_int_1(A) & v1_abian(A))  =>  ~ (v1_abian(k2_xcmplx_0(A, 1))) ) ) ).
fof(fc2_numpoly1, axiom,  (! [A] :  (v1_int_1(A) => v1_abian(k3_xcmplx_0(A, k2_xcmplx_0(A, 1)))) ) ).
fof(fc2_rat_1, axiom,  (! [A, B] :  ( (v1_rat_1(A) & v1_rat_1(B))  => v1_rat_1(k2_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(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(fc41_newton03, axiom,  (! [A, B, C] :  ( ( ( ~ (v8_ordinal1(A))  &  (v1_int_1(A) & v1_pythtrip(A)) )  &  (v7_ordinal1(B) & v7_ordinal1(C)) )  =>  ~ (v1_pythtrip(k2_xcmplx_0(k1_newton(A, B), k1_newton(A, C)))) ) ) ).
fof(fc42_newton03, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  & v1_pythtrip(A)) )  &  (v7_ordinal1(B) & v7_ordinal1(C)) )  =>  ~ (v1_pythtrip(k2_xcmplx_0(k1_newton(A, B), k1_newton(A, C)))) ) ) ).
fof(fc43_newton03, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  &  (v1_int_1(A) & v1_pythtrip(A)) )  &  (v7_ordinal1(B) & v1_int_2(B)) )  =>  ~ (v1_pythtrip(k3_xcmplx_0(B, 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(fc5_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc7_int_1, axiom,  (! [A] :  (v2_int_1(A) => v7_ordinal1(k2_xcmplx_0(A, 1))) ) ).
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(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_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(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_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(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(rc4_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_int_2(B) &  (v1_xxreal_0(B) &  ( ~ (v3_xxreal_0(B))  & v1_nat_6(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc8_numpoly1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_int_1(A) &  (v2_int_1(A) &  ~ (v1_int_2(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom, k2_xcmplx_0(1, 1)=2).
fof(rqRealAdd__k2_xcmplx_0__r1_r2_r3, axiom, k2_xcmplx_0(1, 2)=3).
fof(rqRealAdd__k2_xcmplx_0__r1_r3_r4, axiom, k2_xcmplx_0(1, 3)=4).
fof(rqRealAdd__k2_xcmplx_0__r1_r4_r5, axiom, k2_xcmplx_0(1, 4)=5).
fof(rqRealAdd__k2_xcmplx_0__r2_r1_r3, axiom, k2_xcmplx_0(2, 1)=3).
fof(rqRealAdd__k2_xcmplx_0__r2_r2_r4, axiom, k2_xcmplx_0(2, 2)=4).
fof(rqRealAdd__k2_xcmplx_0__r2_r3_r5, axiom, k2_xcmplx_0(2, 3)=5).
fof(rqRealAdd__k2_xcmplx_0__r3_r1_r4, axiom, k2_xcmplx_0(3, 1)=4).
fof(rqRealAdd__k2_xcmplx_0__r3_r2_r5, axiom, k2_xcmplx_0(3, 2)=5).
fof(rqRealAdd__k2_xcmplx_0__r4_r1_r5, axiom, k2_xcmplx_0(4, 1)=5).
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(cc11_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v2_numpoly1(A, 4))  =>  (v7_ordinal1(A) & v1_pythtrip(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_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_ec_pf_2(A, 2))  =>  ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A)) ) ) ).
fof(cc3_membered, axiom,  (! [A] :  (v4_membered(A) => v3_membered(A)) ) ).
fof(cc3_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_ec_pf_2(A, 4))  =>  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  & v1_ec_pf_2(A, 3)) ) ) ) ).
fof(cc4_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_ec_pf_2(A, 4))  =>  ( ~ (v1_zfmisc_1(A))  & v7_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(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_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v2_numpoly1(B, A) => v1_xreal_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_numpoly1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (! [B] :  (v2_numpoly1(B, A) => v7_ordinal1(B)) ) ) ) ).
fof(cc8_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_ec_pf_2(A, 4) & v1_numpoly1(A)) )  =>  (v7_ordinal1(A) &  ( ~ (v1_int_2(A))  & v1_ec_pf_2(A, 4)) ) ) ) ).
fof(cc9_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_rat_1(B)) ) ) ) ).
fof(cc9_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v2_numpoly1(A, 3))  =>  (v7_ordinal1(A) & v1_numpoly1(A)) ) ) ).
fof(fc14_newton03, axiom,  (! [A] :  (v1_int_1(A) => v1_pythtrip(k1_newton(A, 2))) ) ).
fof(fc1_abian, axiom,  (! [A] :  (v1_int_1(A) => v1_abian(k3_xcmplx_0(2, A))) ) ).
fof(fc1_jordan1d, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => v1_abian(k1_newton(2, A))) ) ).
fof(fc5_nat_6, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) & v2_xxreal_0(A))  &  (v7_ordinal1(B) &  (v7_ordinal1(C) & v1_ec_pf_2(C, B)) ) )  => v1_ec_pf_2(k1_newton(A, C), k1_newton(A, B))) ) ).
fof(fc6_nat_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  &  (v7_ordinal1(B) &  (v7_ordinal1(C) & v1_nat_6(C, B)) ) )  => v1_nat_6(k1_newton(A, C), k1_newton(A, B))) ) ).
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_numpoly1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (? [B] :  (v1_xreal_0(B) &  (v1_xcmplx_0(B) &  (v1_xxreal_0(B) & v1_ec_pf_2(B, 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_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_ordinal1(B) &  (v2_ordinal1(B) &  (v3_ordinal1(B) &  (v7_ordinal1(B) &  (v1_xreal_0(B) &  (v1_xcmplx_0(B) &  (v1_xxreal_0(B) &  ( ~ (v3_xxreal_0(B))  &  (v1_int_1(B) &  (v2_int_1(B) & v1_ec_pf_2(B, 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(rc4_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] : v2_numpoly1(B, A)) ) ) ).
fof(rc5_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (? [B] :  ( ~ (v8_ordinal1(B))  & v2_numpoly1(B, A)) ) ) ) ).
fof(rc6_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v2_xxreal_0(A))  =>  (? [B] :  (v1_ordinal1(B) &  (v2_ordinal1(B) &  (v3_ordinal1(B) &  (v7_ordinal1(B) &  ( ~ (v8_ordinal1(B))  &  (v1_xreal_0(B) &  (v1_xcmplx_0(B) &  (v1_xxreal_0(B) &  ( ~ (v3_xxreal_0(B))  &  (v1_int_1(B) &  (v2_int_1(B) & v1_ec_pf_2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, k3_xcmplx_0(1, 2)=2).
fof(rqRealMult__k3_xcmplx_0__r1_r3_r3, axiom, k3_xcmplx_0(1, 3)=3).
fof(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom, k3_xcmplx_0(2, 1)=2).
fof(rqRealMult__k3_xcmplx_0__r2_r2_r4, axiom, k3_xcmplx_0(2, 2)=4).
fof(rqRealMult__k3_xcmplx_0__r3_r1_r3, axiom, k3_xcmplx_0(3, 1)=3).
fof(spc2_numerals, axiom,  (v2_xxreal_0(2) & m1_subset_1(2, k4_ordinal1)) ).
fof(spc3_numerals, axiom,  (v2_xxreal_0(3) & m1_subset_1(3, k4_ordinal1)) ).
fof(spc2_boole, axiom,  ~ (v1_xboole_0(2)) ).
fof(spc3_boole, axiom,  ~ (v1_xboole_0(3)) ).
fof(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(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_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_numpoly1(A))  =>  (v7_ordinal1(A) & v2_numpoly1(A, 3)) ) ) ).
fof(cc12_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_pythtrip(A))  =>  (v7_ordinal1(A) & v2_numpoly1(A, 4)) ) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc1_numpoly1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (v7_ordinal1(A) & v1_ec_pf_2(A, 2)) ) ) ).
fof(cc1_rat_1, axiom,  (! [A] :  (v1_rat_1(A) => v1_xreal_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_membered, axiom,  (! [A] :  (v5_membered(A) => v4_membered(A)) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc4_finset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) => v1_finset_1(A)) ) ).
fof(cc4_newton03, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v7_ordinal1(A))  =>  (v7_ordinal1(A) & v1_pythtrip(A)) ) ) ).
fof(cc5_newton03, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_pythtrip(A)) )  =>  ( ~ (v8_ordinal1(A))  & v1_int_1(A)) ) ) ).
fof(cc5_numpoly1, axiom,  (! [A] :  (v1_numpoly1(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(cc9_nat_6, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v7_ordinal1(A) &  ~ (v1_abian(A)) ) )  =>  (v7_ordinal1(A) & v1_nat_6(A, 2)) ) ) ).
fof(fc1_newton02, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_xreal_0(A))  &  (v7_ordinal1(B) & v1_abian(B)) )  => v2_xxreal_0(k1_newton(A, B))) ) ).
fof(fc1_rat_1, axiom,  (! [A, B] :  ( (v1_rat_1(A) & v1_rat_1(B))  => v1_rat_1(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(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_jordan1d, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_abian(A))  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v1_abian(k1_newton(A, B))) ) ).
fof(fc2_newton01, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ~ (v1_abian(A)) )  & v7_ordinal1(B))  =>  ~ (v1_abian(k1_newton(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(fc33_newton03, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_pythtrip(A))  & v7_ordinal1(B))  => v1_pythtrip(k1_newton(A, B))) ) ).
fof(fc34_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_pythtrip(A))  & v7_ordinal1(B))  => v1_pythtrip(k1_newton(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(fc36_newton03, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) & v1_abian(B)) )  => v1_pythtrip(k1_newton(A, B))) ) ).
fof(fc37_newton03, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v1_pythtrip(A)) )  &  (v7_ordinal1(B) &  ~ (v1_abian(B)) ) )  =>  ~ (v1_pythtrip(k1_newton(A, B))) ) ) ).
fof(fc3_newton01, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v2_xxreal_0(A))  &  (v1_int_1(B) & v1_abian(B)) )  => v1_abian(k1_newton(B, A))) ) ).
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(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(fc57_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v1_abian(k1_newton(A, B))) ) ).
fof(fc5_newton03, axiom,  (! [A, B] :  ( ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v1_zfmisc_1(k1_newton(A, B))) ) ) ).
fof(fc60_newton03, axiom,  (! [A, B] :  ( (v1_xreal_0(A) &  (v7_ordinal1(B) & v1_abian(B)) )  =>  ~ (v3_xxreal_0(k1_newton(A, B))) ) ) ).
fof(fc61_newton03, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) & v3_xxreal_0(A))  &  (v7_ordinal1(B) &  ~ (v1_abian(B)) ) )  => v3_xxreal_0(k1_newton(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(fc7_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  & v1_int_1(B))  => v1_abian(k3_xcmplx_0(B, 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(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_fomodel0, axiom,  (? [A] :  (v4_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_zfmisc_1(A) &  (v5_finset_1(A) & v4_finseq_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_numpoly1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_pythtrip(A) & v1_numpoly1(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(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_nat_2, axiom,  (? [A] :  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  ( ~ (v1_zfmisc_1(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)) ) ) ) ) ) ) ) ) ) ) ).
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_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
fof(rc1_rat_1, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) & v1_rat_1(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_card_1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v1_finset_1(A) & v1_card_1(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_rat_1, axiom,  (? [A] : v1_rat_1(A)) ).
fof(rc3_abian, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (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_rat_1(A) & v1_abian(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_numpoly1, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  & v1_numpoly1(A)) ) ).
fof(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(rc4_abian, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (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_rat_1(A) &  ~ (v1_abian(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_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(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_newton03, axiom,  (? [A] :  (v1_xreal_0(A) &  (v1_int_1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ~ (v1_pythtrip(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(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(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(asymmetry_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) =>  ~ (r2_tarski(B, A)) ) ) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k5_ordinal1, axiom, $true).
fof(cc10_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v6_membered(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_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) => v4_funct_1(A)) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc13_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finseq_1(B)) ) ) ) ).
fof(cc14_fomodel0, axiom,  (! [A] :  (v4_finseq_1(A) => v5_finset_1(A)) ) ).
fof(cc16_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc17_numpoly1, axiom,  (! [A] :  (v8_ordinal1(A) =>  (v1_pythtrip(A) & v1_numpoly1(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(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_membered, axiom,  (! [A] :  (v6_membered(A) => v5_membered(A)) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc2_rat_1, axiom,  (! [A] :  (v1_int_1(A) => v1_rat_1(A)) ) ).
fof(cc31_fomodel0, axiom,  (! [A] :  (v5_fomodel0(A) => v1_funct_1(A)) ) ).
fof(cc3_int_1, axiom,  (! [A] :  (v1_int_1(A) => v1_xreal_0(A)) ) ).
fof(cc3_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (v1_zfmisc_1(A) & v7_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_nat_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (v7_ordinal1(A) &  ~ (v2_xxreal_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(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_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_card_1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v1_finset_1(A))  => v7_ordinal1(A)) ) ).
fof(cc6_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  =>  ~ (v1_xboole_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_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_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_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v1_finset_1(A)) ) ).
fof(cc9_fomodel0, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v3_xxreal_0(A)) )  =>  (v7_ordinal1(A) & v1_int_1(A)) ) ) ).
fof(fc10_newton03, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) & v2_xxreal_0(A))  & v7_ordinal1(B))  => v2_xxreal_0(k1_newton(A, B))) ) ).
fof(fc11_newton03, axiom,  (! [A] :  (v1_int_1(A) => v1_pythtrip(k3_xcmplx_0(A, A))) ) ).
fof(fc15_newton03, axiom,  (! [A] :  (v1_int_1(A) => v1_pythtrip(k3_xcmplx_0(A, A))) ) ).
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_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_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(fc2_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k3_xcmplx_0(A, B))) ) ).
fof(fc2_newton, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v7_ordinal1(B))  => v1_xreal_0(k1_newton(A, B))) ) ).
fof(fc4_newton03, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A))  & v7_ordinal1(B))  =>  ~ (v8_ordinal1(k1_newton(A, B))) ) ) ).
fof(fc58_newton03, axiom,  (! [A, B] :  ( (v1_int_1(A) &  (v7_ordinal1(B) & v8_ordinal1(B)) )  => v1_abian(k3_xcmplx_0(A, B))) ) ).
fof(fc59_newton03, axiom,  (! [A, B] :  ( (v1_int_1(A) &  (v7_ordinal1(B) & v8_ordinal1(B)) )  =>  ~ (v1_abian(k1_newton(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(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(fc9_newton03, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  & v7_ordinal1(B))  =>  ~ (v3_xxreal_0(k1_newton(A, B))) ) ) ).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
fof(rc10_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc11_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_finseq_1(A)) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_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(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_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc1_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc2_int_1, axiom,  (? [A] : v1_int_1(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_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_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_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_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v3_finseq_1(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(rc7_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] : v3_card_1(B, 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_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0, k4_ordinal1)).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_m1_subset_1, axiom, $true).
fof(cc11_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_finseq_1(A)) ) ).
fof(cc12_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v6_membered(A)) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc19_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v7_membered(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_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v3_ordinal1(A) & v7_ordinal1(A)) ) ) ).
fof(cc1_xcmplx_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xcmplx_0(A)) ) ).
fof(cc26_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => v5_fomodel0(A)) ) ).
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_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_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(cc3_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_card_1(A)) ) ).
fof(cc3_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc3_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_ordinal1(A)) ) ).
fof(cc4_card_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v1_finset_1(A)) ) ).
fof(cc4_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v2_int_1(A)) ) ).
fof(cc4_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_ordinal1(A)) ) ).
fof(cc5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(A)) ) ).
fof(cc5_nat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v8_ordinal1(A)) ) ).
fof(cc6_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_finset_1(A)) ) ).
fof(cc6_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_ordinal1(A)) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc8_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_card_1(A, k5_ordinal1)) ) ).
fof(cc8_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_finseq_1(A)) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(fc2_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k3_xcmplx_0(A, B))) ) ).
fof(fc3_newton, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v7_ordinal1(B))  => v1_xcmplx_0(k1_newton(A, B))) ) ).
fof(fc4_newton, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k1_newton(A, B))) ) ).
fof(fc59_membered, axiom, v7_membered(k4_ordinal1)).
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(fc9_card_1, axiom,  ~ (v1_finset_1(k4_ordinal1)) ).
fof(rc1_nat_1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc5_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc6_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc7_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(rd1_nat_6, axiom,  (! [A] :  (v7_ordinal1(A) => k1_newton(1, A)=1) ) ).
fof(rd2_newton, axiom,  (! [A] :  (v7_ordinal1(A) => k1_newton(1, A)=1) ) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t6_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
fof(commutativity_k2_nat_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => k2_nat_1(A, B)=k2_nat_1(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(redefinition_k11_newton, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => k11_newton(A, B)=k1_newton(A, B)) ) ).
fof(redefinition_k2_nat_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => k2_nat_1(A, B)=k3_xcmplx_0(A, B)) ) ).
fof(dt_k11_newton, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => m1_subset_1(k11_newton(A, B), k4_ordinal1)) ) ).
fof(dt_k1_newton, axiom, $true).
fof(dt_k2_nat_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => m1_subset_1(k2_nat_1(A, B), k4_ordinal1)) ) ).
fof(dt_k3_xcmplx_0, axiom, $true).
fof(fc3_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_xcmplx_0(k3_xcmplx_0(A, B))) ) ).
fof(rc1_xcmplx_0, axiom,  (? [A] : v1_xcmplx_0(A)) ).
fof(rc2_xcmplx_0, axiom,  (? [A] : v1_xcmplx_0(A)) ).
fof(rd1_newton, axiom,  (! [A] :  (v1_xcmplx_0(A) => k1_newton(A, 1)=A) ) ).
fof(rqRealMult__k3_xcmplx_0__r125_r1_r125, axiom, k3_xcmplx_0(125, 1)=125).
fof(rqRealMult__k3_xcmplx_0__r1_r125_r125, axiom, k3_xcmplx_0(1, 125)=125).
fof(rqRealMult__k3_xcmplx_0__r1_r25_r25, axiom, k3_xcmplx_0(1, 25)=25).
fof(rqRealMult__k3_xcmplx_0__r1_r4_r4, axiom, k3_xcmplx_0(1, 4)=4).
fof(rqRealMult__k3_xcmplx_0__r1_r625_r625, axiom, k3_xcmplx_0(1, 625)=625).
fof(rqRealMult__k3_xcmplx_0__r25_r1_r25, axiom, k3_xcmplx_0(25, 1)=25).
fof(rqRealMult__k3_xcmplx_0__r25_r25_r625, axiom, k3_xcmplx_0(25, 25)=625).
fof(rqRealMult__k3_xcmplx_0__r4_r1_r4, axiom, k3_xcmplx_0(4, 1)=4).
fof(rqRealMult__k3_xcmplx_0__r5_r1_r5, axiom, k3_xcmplx_0(5, 1)=5).
fof(rqRealMult__k3_xcmplx_0__r625_r1_r625, axiom, k3_xcmplx_0(625, 1)=625).
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(t3_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(1, A)=A) ) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc4_numerals, axiom,  (v2_xxreal_0(4) & m1_subset_1(4, k4_ordinal1)) ).
fof(spc5_numerals, axiom,  (v2_xxreal_0(5) & m1_subset_1(5, k4_ordinal1)) ).
fof(spc25_numerals, axiom,  (v2_xxreal_0(25) & m1_subset_1(25, k4_ordinal1)) ).
fof(spc125_numerals, axiom,  (v2_xxreal_0(125) & m1_subset_1(125, k4_ordinal1)) ).
fof(spc625_numerals, axiom,  (v2_xxreal_0(625) & m1_subset_1(625, k4_ordinal1)) ).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(spc4_boole, axiom,  ~ (v1_xboole_0(4)) ).
fof(spc5_boole, axiom,  ~ (v1_xboole_0(5)) ).
fof(spc25_boole, axiom,  ~ (v1_xboole_0(25)) ).
fof(spc125_boole, axiom,  ~ (v1_xboole_0(125)) ).
fof(spc625_boole, axiom,  ~ (v1_xboole_0(625)) ).
fof(t3_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(A, A), A), A)=k1_newton(A, 4)) ) ).
fof(rqRealMult__k3_xcmplx_0__r5_r5_r25, axiom, k3_xcmplx_0(5, 5)=25).
fof(rqRealMult__k3_xcmplx_0__r25_r5_r125, axiom, k3_xcmplx_0(25, 5)=125).
fof(rqRealMult__k3_xcmplx_0__r125_r5_r625, axiom, k3_xcmplx_0(125, 5)=625).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r5_r5, axiom, k3_xcmplx_0(1, 5)=5).
fof(rqRealMult__k3_xcmplx_0__r5_r25_r125, axiom, k3_xcmplx_0(5, 25)=125).
fof(rqRealMult__k3_xcmplx_0__r5_r125_r625, axiom, k3_xcmplx_0(5, 125)=625).
