% Mizar problem: l22_number09,number09,149,46 
fof(l22_number09, conjecture, k11_newton(2, 15)=k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(2, 2), 2), 2), 2), 2), 2), 2), 2), 2), 2), 2), 2), 2), 2)).
fof(cc11_xxreal_2, axiom,  (! [A] :  ( (v3_membered(A) & v2_xxreal_2(A))  =>  (v3_membered(A) & v4_xxreal_2(A)) ) ) ).
fof(cc13_xxreal_2, axiom,  (! [A] :  ( (v6_membered(A) & v4_xxreal_2(A))  =>  (v6_membered(A) &  (v1_finset_1(A) & v4_xxreal_2(A)) ) ) ) ).
fof(cc17_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) & v2_xxreal_2(A))  =>  (v2_membered(A) &  ~ (v1_xboole_0(A)) ) ) ) ).
fof(cc5_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) &  (v3_xxreal_2(A) & v4_xxreal_2(A)) )  =>  (v2_membered(A) & v5_xxreal_2(A)) ) ) ).
fof(cc7_xxreal_2, axiom,  (! [A] :  ( (v5_membered(A) &  ( ~ (v1_xboole_0(A))  & v4_xxreal_2(A)) )  =>  (v5_membered(A) &  ( ~ (v1_xboole_0(A))  & v2_xxreal_2(A)) ) ) ) ).
fof(rc1_xxreal_2, axiom,  (? [A] :  (v1_membered(A) &  (v2_membered(A) &  (v3_membered(A) &  (v4_membered(A) &  (v5_membered(A) &  (v6_membered(A) &  ( ~ (v1_xboole_0(A))  &  (v1_xxreal_2(A) & v2_xxreal_2(A)) ) ) ) ) ) ) ) ) ).
fof(rc4_xxreal_2, axiom,  (? [A] :  (v2_membered(A) &  ( ~ (v1_xboole_0(A))  & v6_xxreal_2(A)) ) ) ).
fof(rc5_xxreal_2, axiom,  (? [A] :  (v2_membered(A) &  (v1_xxreal_2(A) &  (v2_xxreal_2(A) & v6_xxreal_2(A)) ) ) ) ).
fof(rc6_xxreal_2, axiom,  (? [A] :  (v2_membered(A) &  ( ~ (v1_xxreal_2(A))  &  (v2_xxreal_2(A) & v6_xxreal_2(A)) ) ) ) ).
fof(rc7_xxreal_2, axiom,  (? [A] :  (v2_membered(A) &  (v1_xxreal_2(A) &  ( ~ (v2_xxreal_2(A))  & v6_xxreal_2(A)) ) ) ) ).
fof(rc8_xxreal_2, axiom,  (? [A] :  (v2_membered(A) &  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xxreal_2(A))  &  ( ~ (v2_xxreal_2(A))  & v6_xxreal_2(A)) ) ) ) ) ).
fof(cc12_xxreal_2, axiom,  (! [A] :  ( (v5_membered(A) & v5_xxreal_2(A))  =>  (v5_membered(A) & v1_finset_1(A)) ) ) ).
fof(cc14_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) & v5_xxreal_2(A))  =>  (v2_membered(A) & v3_membered(A)) ) ) ).
fof(cc15_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) & v1_xboole_0(A))  =>  (v2_membered(A) & v6_xxreal_2(A)) ) ) ).
fof(cc16_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) & v1_xxreal_2(A))  =>  (v2_membered(A) &  ~ (v1_xboole_0(A)) ) ) ) ).
fof(cc2_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) &  (v1_finset_1(A) &  ~ (v1_xboole_0(A)) ) )  =>  (v2_membered(A) &  ( ~ (v1_xboole_0(A))  &  (v1_xxreal_2(A) & v2_xxreal_2(A)) ) ) ) ) ).
fof(cc4_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) & v5_xxreal_2(A))  =>  (v2_membered(A) &  (v3_xxreal_2(A) & v4_xxreal_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(rc3_xxreal_2, axiom,  (? [A] :  (v1_membered(A) &  (v2_membered(A) &  (v3_membered(A) &  (v4_membered(A) &  (v5_membered(A) &  (v6_membered(A) &  ( ~ (v1_xboole_0(A))  &  (v1_xxreal_2(A) & v5_xxreal_2(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_xxreal_2, axiom,  (! [A] :  ( (v3_membered(A) & v1_xxreal_2(A))  =>  (v3_membered(A) & v3_xxreal_2(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(cc6_xxreal_2, axiom,  (! [A] :  ( (v3_membered(A) & v1_finset_1(A))  =>  (v3_membered(A) & v5_xxreal_2(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(fc2_abian, axiom,  (! [A] :  ( (v1_int_1(A) & v1_abian(A))  =>  ~ (v1_abian(k2_xcmplx_0(A, 1))) ) ) ).
fof(fc2_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_xcmplx_0(k2_xcmplx_0(A, B))) ) ).
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(fc48_number08, axiom,  (! [A, B] :  ( (v1_rat_1(A) & v7_ordinal1(B))  => v1_rat_1(k1_newton(A, B))) ) ).
fof(fc4_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(B, A))) ) ) ).
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(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(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(rqRealAdd__k2_xcmplx_0__r1024_r1024_r2048, axiom, k2_xcmplx_0(1024, 1024)=2048).
fof(rqRealAdd__k2_xcmplx_0__r128_r128_r256, axiom, k2_xcmplx_0(128, 128)=256).
fof(rqRealAdd__k2_xcmplx_0__r15_r1_r16, axiom, k2_xcmplx_0(15, 1)=16).
fof(rqRealAdd__k2_xcmplx_0__r16384_r16384_r32768, axiom, k2_xcmplx_0(16384, 16384)=32768).
fof(rqRealAdd__k2_xcmplx_0__r16_r16_r32, axiom, k2_xcmplx_0(16, 16)=32).
fof(rqRealAdd__k2_xcmplx_0__r1_r15_r16, axiom, k2_xcmplx_0(1, 15)=16).
fof(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom, k2_xcmplx_0(1, 1)=2).
fof(rqRealAdd__k2_xcmplx_0__r2_r2_r4, axiom, k2_xcmplx_0(2, 2)=4).
fof(rqRealAdd__k2_xcmplx_0__r32_r32_r64, axiom, k2_xcmplx_0(32, 32)=64).
fof(rqRealAdd__k2_xcmplx_0__r4096_r4096_r8192, axiom, k2_xcmplx_0(4096, 4096)=8192).
fof(rqRealAdd__k2_xcmplx_0__r4_r4_r8, axiom, k2_xcmplx_0(4, 4)=8).
fof(rqRealAdd__k2_xcmplx_0__r64_r64_r128, axiom, k2_xcmplx_0(64, 64)=128).
fof(rqRealAdd__k2_xcmplx_0__r8192_r8192_r16384, axiom, k2_xcmplx_0(8192, 8192)=16384).
fof(rqRealAdd__k2_xcmplx_0__r8_r8_r16, axiom, k2_xcmplx_0(8, 8)=16).
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(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(cc3_membered, axiom,  (! [A] :  (v4_membered(A) => v3_membered(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(cc7_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_ec_pf_2(A, 2))  =>  ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A)) ) ) ).
fof(cc9_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_rat_1(B)) ) ) ) ).
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(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(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(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(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(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(cc8_nat_6, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (v7_ordinal1(A) & v1_ec_pf_2(A, 2)) ) ) ).
fof(cc8_xxreal_2, axiom,  (! [A] :  ( (v5_membered(A) &  ( ~ (v1_xboole_0(A))  & v3_xxreal_2(A)) )  =>  (v5_membered(A) &  ( ~ (v1_xboole_0(A))  & v1_xxreal_2(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(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(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(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(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(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_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(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(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(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(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(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(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(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(cc3_int_1, axiom,  (! [A] :  (v1_int_1(A) => v1_xreal_0(A)) ) ).
fof(cc3_number08, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (v7_ordinal1(A) &  ~ (v1_number08(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(cc3_xxreal_2, axiom,  (! [A] :  ( (v6_membered(A) &  ~ (v1_xboole_0(A)) )  =>  (v6_membered(A) &  ( ~ (v1_xboole_0(A))  & v1_xxreal_2(A)) ) ) ) ).
fof(cc4_nat_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (v7_ordinal1(A) &  ~ (v2_xxreal_0(A)) ) ) ) ).
fof(cc4_number08, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (v7_ordinal1(A) & v2_number08(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_xxreal_2, axiom,  (! [A] :  (v6_membered(A) =>  (v6_membered(A) & v3_xxreal_2(A)) ) ) ).
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(fc1_nat_3, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  & v7_ordinal1(B))  =>  ~ (v8_ordinal1(k1_newton(A, B))) ) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
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(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_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(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_number08, axiom,  (? [A] :  ( ~ (v1_finset_1(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(rc2_xxreal_2, axiom,  (? [A] :  (v6_membered(A) &  (v1_finset_1(A) &  ~ (v1_xboole_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_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(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(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(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__r1024_r16_r16384, axiom, k3_xcmplx_0(1024, 16)=16384).
fof(rqRealMult__k3_xcmplx_0__r1024_r1_r1024, axiom, k3_xcmplx_0(1024, 1)=1024).
fof(rqRealMult__k3_xcmplx_0__r1024_r32_r32768, axiom, k3_xcmplx_0(1024, 32)=32768).
fof(rqRealMult__k3_xcmplx_0__r1024_r4_r4096, axiom, k3_xcmplx_0(1024, 4)=4096).
fof(rqRealMult__k3_xcmplx_0__r1024_r8_r8192, axiom, k3_xcmplx_0(1024, 8)=8192).
fof(rqRealMult__k3_xcmplx_0__r128_r128_r16384, axiom, k3_xcmplx_0(128, 128)=16384).
fof(rqRealMult__k3_xcmplx_0__r128_r16_r2048, axiom, k3_xcmplx_0(128, 16)=2048).
fof(rqRealMult__k3_xcmplx_0__r128_r1_r128, axiom, k3_xcmplx_0(128, 1)=128).
fof(rqRealMult__k3_xcmplx_0__r128_r256_r32768, axiom, k3_xcmplx_0(128, 256)=32768).
fof(rqRealMult__k3_xcmplx_0__r128_r4_r512, axiom, k3_xcmplx_0(128, 4)=512).
fof(rqRealMult__k3_xcmplx_0__r128_r64_r8192, axiom, k3_xcmplx_0(128, 64)=8192).
fof(rqRealMult__k3_xcmplx_0__r15_r1_r15, axiom, k3_xcmplx_0(15, 1)=15).
fof(rqRealMult__k3_xcmplx_0__r16384_r1_r16384, axiom, k3_xcmplx_0(16384, 1)=16384).
fof(rqRealMult__k3_xcmplx_0__r16_r128_r2048, axiom, k3_xcmplx_0(16, 128)=2048).
fof(rqRealMult__k3_xcmplx_0__r16_r16_r256, axiom, k3_xcmplx_0(16, 16)=256).
fof(rqRealMult__k3_xcmplx_0__r16_r1_r16, axiom, k3_xcmplx_0(16, 1)=16).
fof(rqRealMult__k3_xcmplx_0__r16_r256_r4096, axiom, k3_xcmplx_0(16, 256)=4096).
fof(rqRealMult__k3_xcmplx_0__r16_r32_r512, axiom, k3_xcmplx_0(16, 32)=512).
fof(rqRealMult__k3_xcmplx_0__r16_r4_r64, axiom, k3_xcmplx_0(16, 4)=64).
fof(rqRealMult__k3_xcmplx_0__r16_r512_r8192, axiom, k3_xcmplx_0(16, 512)=8192).
fof(rqRealMult__k3_xcmplx_0__r16_r64_r1024, axiom, k3_xcmplx_0(16, 64)=1024).
fof(rqRealMult__k3_xcmplx_0__r16_r8_r128, axiom, k3_xcmplx_0(16, 8)=128).
fof(rqRealMult__k3_xcmplx_0__r1_r1024_r1024, axiom, k3_xcmplx_0(1, 1024)=1024).
fof(rqRealMult__k3_xcmplx_0__r1_r128_r128, axiom, k3_xcmplx_0(1, 128)=128).
fof(rqRealMult__k3_xcmplx_0__r1_r15_r15, axiom, k3_xcmplx_0(1, 15)=15).
fof(rqRealMult__k3_xcmplx_0__r1_r16_r16, axiom, k3_xcmplx_0(1, 16)=16).
fof(rqRealMult__k3_xcmplx_0__r1_r2048_r2048, axiom, k3_xcmplx_0(1, 2048)=2048).
fof(rqRealMult__k3_xcmplx_0__r1_r256_r256, axiom, k3_xcmplx_0(1, 256)=256).
fof(rqRealMult__k3_xcmplx_0__r1_r32_r32, axiom, k3_xcmplx_0(1, 32)=32).
fof(rqRealMult__k3_xcmplx_0__r1_r4096_r4096, axiom, k3_xcmplx_0(1, 4096)=4096).
fof(rqRealMult__k3_xcmplx_0__r1_r4_r4, axiom, k3_xcmplx_0(1, 4)=4).
fof(rqRealMult__k3_xcmplx_0__r1_r512_r512, axiom, k3_xcmplx_0(1, 512)=512).
fof(rqRealMult__k3_xcmplx_0__r1_r64_r64, axiom, k3_xcmplx_0(1, 64)=64).
fof(rqRealMult__k3_xcmplx_0__r1_r8192_r8192, axiom, k3_xcmplx_0(1, 8192)=8192).
fof(rqRealMult__k3_xcmplx_0__r1_r8_r8, axiom, k3_xcmplx_0(1, 8)=8).
fof(rqRealMult__k3_xcmplx_0__r2048_r1_r2048, axiom, k3_xcmplx_0(2048, 1)=2048).
fof(rqRealMult__k3_xcmplx_0__r2048_r4_r8192, axiom, k3_xcmplx_0(2048, 4)=8192).
fof(rqRealMult__k3_xcmplx_0__r256_r128_r32768, axiom, k3_xcmplx_0(256, 128)=32768).
fof(rqRealMult__k3_xcmplx_0__r256_r16_r4096, axiom, k3_xcmplx_0(256, 16)=4096).
fof(rqRealMult__k3_xcmplx_0__r256_r1_r256, axiom, k3_xcmplx_0(256, 1)=256).
fof(rqRealMult__k3_xcmplx_0__r256_r32_r8192, axiom, k3_xcmplx_0(256, 32)=8192).
fof(rqRealMult__k3_xcmplx_0__r256_r4_r1024, axiom, k3_xcmplx_0(256, 4)=1024).
fof(rqRealMult__k3_xcmplx_0__r256_r64_r16384, axiom, k3_xcmplx_0(256, 64)=16384).
fof(rqRealMult__k3_xcmplx_0__r256_r8_r2048, axiom, k3_xcmplx_0(256, 8)=2048).
fof(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom, k3_xcmplx_0(2, 1)=2).
fof(rqRealMult__k3_xcmplx_0__r32768_r1_r32768, axiom, k3_xcmplx_0(32768, 1)=32768).
fof(rqRealMult__k3_xcmplx_0__r32_r1024_r32768, axiom, k3_xcmplx_0(32, 1024)=32768).
fof(rqRealMult__k3_xcmplx_0__r32_r128_r4096, axiom, k3_xcmplx_0(32, 128)=4096).
fof(rqRealMult__k3_xcmplx_0__r32_r16_r512, axiom, k3_xcmplx_0(32, 16)=512).
fof(rqRealMult__k3_xcmplx_0__r32_r1_r32, axiom, k3_xcmplx_0(32, 1)=32).
fof(rqRealMult__k3_xcmplx_0__r32_r256_r8192, axiom, k3_xcmplx_0(32, 256)=8192).
fof(rqRealMult__k3_xcmplx_0__r32_r32_r1024, axiom, k3_xcmplx_0(32, 32)=1024).
fof(rqRealMult__k3_xcmplx_0__r32_r4_r128, axiom, k3_xcmplx_0(32, 4)=128).
fof(rqRealMult__k3_xcmplx_0__r32_r512_r16384, axiom, k3_xcmplx_0(32, 512)=16384).
fof(rqRealMult__k3_xcmplx_0__r32_r64_r2048, axiom, k3_xcmplx_0(32, 64)=2048).
fof(rqRealMult__k3_xcmplx_0__r32_r8_r256, axiom, k3_xcmplx_0(32, 8)=256).
fof(rqRealMult__k3_xcmplx_0__r4096_r1_r4096, axiom, k3_xcmplx_0(4096, 1)=4096).
fof(rqRealMult__k3_xcmplx_0__r4096_r4_r16384, axiom, k3_xcmplx_0(4096, 4)=16384).
fof(rqRealMult__k3_xcmplx_0__r4096_r8_r32768, axiom, k3_xcmplx_0(4096, 8)=32768).
fof(rqRealMult__k3_xcmplx_0__r4_r1024_r4096, axiom, k3_xcmplx_0(4, 1024)=4096).
fof(rqRealMult__k3_xcmplx_0__r4_r128_r512, axiom, k3_xcmplx_0(4, 128)=512).
fof(rqRealMult__k3_xcmplx_0__r4_r16_r64, axiom, k3_xcmplx_0(4, 16)=64).
fof(rqRealMult__k3_xcmplx_0__r4_r1_r4, axiom, k3_xcmplx_0(4, 1)=4).
fof(rqRealMult__k3_xcmplx_0__r4_r256_r1024, axiom, k3_xcmplx_0(4, 256)=1024).
fof(rqRealMult__k3_xcmplx_0__r4_r32_r128, axiom, k3_xcmplx_0(4, 32)=128).
fof(rqRealMult__k3_xcmplx_0__r4_r4096_r16384, axiom, k3_xcmplx_0(4, 4096)=16384).
fof(rqRealMult__k3_xcmplx_0__r4_r4_r16, axiom, k3_xcmplx_0(4, 4)=16).
fof(rqRealMult__k3_xcmplx_0__r4_r512_r2048, axiom, k3_xcmplx_0(4, 512)=2048).
fof(rqRealMult__k3_xcmplx_0__r4_r64_r256, axiom, k3_xcmplx_0(4, 64)=256).
fof(rqRealMult__k3_xcmplx_0__r4_r8_r32, axiom, k3_xcmplx_0(4, 8)=32).
fof(rqRealMult__k3_xcmplx_0__r512_r16_r8192, axiom, k3_xcmplx_0(512, 16)=8192).
fof(rqRealMult__k3_xcmplx_0__r512_r1_r512, axiom, k3_xcmplx_0(512, 1)=512).
fof(rqRealMult__k3_xcmplx_0__r512_r4_r2048, axiom, k3_xcmplx_0(512, 4)=2048).
fof(rqRealMult__k3_xcmplx_0__r512_r64_r32768, axiom, k3_xcmplx_0(512, 64)=32768).
fof(rqRealMult__k3_xcmplx_0__r512_r8_r4096, axiom, k3_xcmplx_0(512, 8)=4096).
fof(rqRealMult__k3_xcmplx_0__r64_r128_r8192, axiom, k3_xcmplx_0(64, 128)=8192).
fof(rqRealMult__k3_xcmplx_0__r64_r16_r1024, axiom, k3_xcmplx_0(64, 16)=1024).
fof(rqRealMult__k3_xcmplx_0__r64_r1_r64, axiom, k3_xcmplx_0(64, 1)=64).
fof(rqRealMult__k3_xcmplx_0__r64_r256_r16384, axiom, k3_xcmplx_0(64, 256)=16384).
fof(rqRealMult__k3_xcmplx_0__r64_r32_r2048, axiom, k3_xcmplx_0(64, 32)=2048).
fof(rqRealMult__k3_xcmplx_0__r64_r4_r256, axiom, k3_xcmplx_0(64, 4)=256).
fof(rqRealMult__k3_xcmplx_0__r64_r512_r32768, axiom, k3_xcmplx_0(64, 512)=32768).
fof(rqRealMult__k3_xcmplx_0__r64_r64_r4096, axiom, k3_xcmplx_0(64, 64)=4096).
fof(rqRealMult__k3_xcmplx_0__r64_r8_r512, axiom, k3_xcmplx_0(64, 8)=512).
fof(rqRealMult__k3_xcmplx_0__r8192_r1_r8192, axiom, k3_xcmplx_0(8192, 1)=8192).
fof(rqRealMult__k3_xcmplx_0__r8_r1024_r8192, axiom, k3_xcmplx_0(8, 1024)=8192).
fof(rqRealMult__k3_xcmplx_0__r8_r16_r128, axiom, k3_xcmplx_0(8, 16)=128).
fof(rqRealMult__k3_xcmplx_0__r8_r1_r8, axiom, k3_xcmplx_0(8, 1)=8).
fof(rqRealMult__k3_xcmplx_0__r8_r256_r2048, axiom, k3_xcmplx_0(8, 256)=2048).
fof(rqRealMult__k3_xcmplx_0__r8_r32_r256, axiom, k3_xcmplx_0(8, 32)=256).
fof(rqRealMult__k3_xcmplx_0__r8_r4096_r32768, axiom, k3_xcmplx_0(8, 4096)=32768).
fof(rqRealMult__k3_xcmplx_0__r8_r4_r32, axiom, k3_xcmplx_0(8, 4)=32).
fof(rqRealMult__k3_xcmplx_0__r8_r512_r4096, axiom, k3_xcmplx_0(8, 512)=4096).
fof(rqRealMult__k3_xcmplx_0__r8_r64_r512, axiom, k3_xcmplx_0(8, 64)=512).
fof(rqRealMult__k3_xcmplx_0__r8_r8_r64, axiom, k3_xcmplx_0(8, 8)=64).
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(spc2_numerals, axiom,  (v2_xxreal_0(2) & m1_subset_1(2, k4_ordinal1)) ).
fof(spc4_numerals, axiom,  (v2_xxreal_0(4) & m1_subset_1(4, k4_ordinal1)) ).
fof(spc8_numerals, axiom,  (v2_xxreal_0(8) & m1_subset_1(8, k4_ordinal1)) ).
fof(spc15_numerals, axiom,  (v2_xxreal_0(15) & m1_subset_1(15, k4_ordinal1)) ).
fof(spc16_numerals, axiom,  (v2_xxreal_0(16) & m1_subset_1(16, k4_ordinal1)) ).
fof(spc32_numerals, axiom,  (v2_xxreal_0(32) & m1_subset_1(32, k4_ordinal1)) ).
fof(spc64_numerals, axiom,  (v2_xxreal_0(64) & m1_subset_1(64, k4_ordinal1)) ).
fof(spc128_numerals, axiom,  (v2_xxreal_0(128) & m1_subset_1(128, k4_ordinal1)) ).
fof(spc256_numerals, axiom,  (v2_xxreal_0(256) & m1_subset_1(256, k4_ordinal1)) ).
fof(spc512_numerals, axiom,  (v2_xxreal_0(512) & m1_subset_1(512, k4_ordinal1)) ).
fof(spc1024_numerals, axiom,  (v2_xxreal_0(1024) & m1_subset_1(1024, k4_ordinal1)) ).
fof(spc2048_numerals, axiom,  (v2_xxreal_0(2048) & m1_subset_1(2048, k4_ordinal1)) ).
fof(spc4096_numerals, axiom,  (v2_xxreal_0(4096) & m1_subset_1(4096, k4_ordinal1)) ).
fof(spc8192_numerals, axiom,  (v2_xxreal_0(8192) & m1_subset_1(8192, k4_ordinal1)) ).
fof(spc16384_numerals, axiom,  (v2_xxreal_0(16384) & m1_subset_1(16384, k4_ordinal1)) ).
fof(spc32768_numerals, axiom,  (v2_xxreal_0(32768) & m1_subset_1(32768, k4_ordinal1)) ).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(spc2_boole, axiom,  ~ (v1_xboole_0(2)) ).
fof(spc4_boole, axiom,  ~ (v1_xboole_0(4)) ).
fof(spc8_boole, axiom,  ~ (v1_xboole_0(8)) ).
fof(spc15_boole, axiom,  ~ (v1_xboole_0(15)) ).
fof(spc16_boole, axiom,  ~ (v1_xboole_0(16)) ).
fof(spc32_boole, axiom,  ~ (v1_xboole_0(32)) ).
fof(spc64_boole, axiom,  ~ (v1_xboole_0(64)) ).
fof(spc128_boole, axiom,  ~ (v1_xboole_0(128)) ).
fof(spc256_boole, axiom,  ~ (v1_xboole_0(256)) ).
fof(spc512_boole, axiom,  ~ (v1_xboole_0(512)) ).
fof(spc1024_boole, axiom,  ~ (v1_xboole_0(1024)) ).
fof(spc2048_boole, axiom,  ~ (v1_xboole_0(2048)) ).
fof(spc4096_boole, axiom,  ~ (v1_xboole_0(4096)) ).
fof(spc8192_boole, axiom,  ~ (v1_xboole_0(8192)) ).
fof(spc16384_boole, axiom,  ~ (v1_xboole_0(16384)) ).
fof(spc32768_boole, axiom,  ~ (v1_xboole_0(32768)) ).
fof(t5_number09, axiom,  (! [A] :  (v1_xcmplx_0(A) => k1_newton(A, 15)=k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(A, A), A), A), A), A), A), A), A), A), A), A), A), A), A)) ) ).
fof(rqRealMult__k3_xcmplx_0__r8192_r2_r16384, axiom, k3_xcmplx_0(8192, 2)=16384).
fof(rqRealMult__k3_xcmplx_0__r16384_r2_r32768, axiom, k3_xcmplx_0(16384, 2)=32768).
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_r2_r4, axiom, k3_xcmplx_0(2, 2)=4).
fof(rqRealMult__k3_xcmplx_0__r2_r4_r8, axiom, k3_xcmplx_0(2, 4)=8).
fof(rqRealMult__k3_xcmplx_0__r2_r8_r16, axiom, k3_xcmplx_0(2, 8)=16).
fof(rqRealMult__k3_xcmplx_0__r2_r16_r32, axiom, k3_xcmplx_0(2, 16)=32).
fof(rqRealMult__k3_xcmplx_0__r2_r32_r64, axiom, k3_xcmplx_0(2, 32)=64).
fof(rqRealMult__k3_xcmplx_0__r2_r64_r128, axiom, k3_xcmplx_0(2, 64)=128).
fof(rqRealMult__k3_xcmplx_0__r2_r128_r256, axiom, k3_xcmplx_0(2, 128)=256).
fof(rqRealMult__k3_xcmplx_0__r2_r256_r512, axiom, k3_xcmplx_0(2, 256)=512).
fof(rqRealMult__k3_xcmplx_0__r2_r512_r1024, axiom, k3_xcmplx_0(2, 512)=1024).
fof(rqRealMult__k3_xcmplx_0__r2_r1024_r2048, axiom, k3_xcmplx_0(2, 1024)=2048).
fof(rqRealMult__k3_xcmplx_0__r2_r2048_r4096, axiom, k3_xcmplx_0(2, 2048)=4096).
fof(rqRealMult__k3_xcmplx_0__r2_r4096_r8192, axiom, k3_xcmplx_0(2, 4096)=8192).
fof(rqRealMult__k3_xcmplx_0__r2_r8192_r16384, axiom, k3_xcmplx_0(2, 8192)=16384).
fof(rqRealMult__k3_xcmplx_0__r2_r16384_r32768, axiom, k3_xcmplx_0(2, 16384)=32768).
fof(rqRealMult__k3_xcmplx_0__r4096_r2_r8192, axiom, k3_xcmplx_0(4096, 2)=8192).
fof(rqRealMult__k3_xcmplx_0__r2048_r2_r4096, axiom, k3_xcmplx_0(2048, 2)=4096).
fof(rqRealMult__k3_xcmplx_0__r1024_r2_r2048, axiom, k3_xcmplx_0(1024, 2)=2048).
fof(rqRealMult__k3_xcmplx_0__r512_r2_r1024, axiom, k3_xcmplx_0(512, 2)=1024).
fof(rqRealMult__k3_xcmplx_0__r256_r2_r512, axiom, k3_xcmplx_0(256, 2)=512).
fof(rqRealMult__k3_xcmplx_0__r128_r2_r256, axiom, k3_xcmplx_0(128, 2)=256).
fof(rqRealMult__k3_xcmplx_0__r64_r2_r128, axiom, k3_xcmplx_0(64, 2)=128).
fof(rqRealMult__k3_xcmplx_0__r32_r2_r64, axiom, k3_xcmplx_0(32, 2)=64).
fof(rqRealMult__k3_xcmplx_0__r16_r2_r32, axiom, k3_xcmplx_0(16, 2)=32).
fof(rqRealMult__k3_xcmplx_0__r8_r2_r16, axiom, k3_xcmplx_0(8, 2)=16).
fof(rqRealMult__k3_xcmplx_0__r4_r2_r8, axiom, k3_xcmplx_0(4, 2)=8).
