% Mizar problem: t44_seqfunc,seqfunc,1465,5 fof(t44_seqfunc, conjecture, (! [A] : (! [B] : ( (r3_seqfunc(k1_numbers, B, A) & (! [C] : v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, B, C), A))) ) => v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k11_seqfunc(k1_numbers, B, A), A))) ) ) ). fof(antisymmetry_r2_hidden, axiom, (! [A, B] : (r2_hidden(A, B) => ~ (r2_hidden(B, A)) ) ) ). fof(cc10_membered, axiom, (! [A] : ($true => v5_membered(A)) ) ). fof(cc10_ordinal1, axiom, (! [A] : (! [B] : ($true => v6_ordinal1(B)) ) ) ). fof(cc10_valued_0, axiom, (! [A] : (! [B] : ($true => v1_valued_0(B)) ) ) ). fof(cc11_membered, axiom, (! [A] : ($true => v6_membered(A)) ) ). fof(cc11_valued_0, axiom, (! [A] : (! [B] : ($true => v2_valued_0(B)) ) ) ). fof(cc12_membered, axiom, (! [A] : (! [B] : ($true => v1_xcmplx_0(B)) ) ) ). fof(cc12_valued_0, axiom, (! [A] : (! [B] : ($true => v3_valued_0(B)) ) ) ). fof(cc13_membered, axiom, (! [A] : (! [B] : ($true => v1_xxreal_0(B)) ) ) ). fof(cc13_valued_0, axiom, (! [A] : (! [B] : ($true => v5_relat_1(B, k3_numbers)) ) ) ). fof(cc14_membered, axiom, (! [A] : (! [B] : ($true => v1_xreal_0(B)) ) ) ). fof(cc14_valued_0, axiom, (! [A] : (! [B] : ($true => v5_relat_1(B, k4_numbers)) ) ) ). fof(cc15_membered, axiom, (! [A] : (! [B] : ($true => v1_rat_1(B)) ) ) ). fof(cc15_valued_0, axiom, (! [A] : (! [B] : ($true => v4_valued_0(B)) ) ) ). fof(cc16_membered, axiom, (! [A] : (! [B] : ($true => v1_int_1(B)) ) ) ). fof(cc16_valued_0, axiom, (! [A, B] : (! [C] : ($true => v1_valued_0(C)) ) ) ). fof(cc17_membered, axiom, (! [A] : (! [B] : ($true => v7_ordinal1(B)) ) ) ). fof(cc17_valued_0, axiom, (! [A, B] : (! [C] : ($true => v2_valued_0(C)) ) ) ). fof(cc18_membered, axiom, (! [A] : (v1_xboole_0(A) => v6_membered(A)) ) ). fof(cc18_valued_0, axiom, (! [A, B] : (! [C] : ($true => v3_valued_0(C)) ) ) ). fof(cc19_membered, axiom, (! [A] : (! [B] : ($true => v1_membered(B)) ) ) ). fof(cc19_valued_0, axiom, (! [A, B] : (! [C] : ($true => v5_relat_1(C, k3_numbers)) ) ) ). fof(cc1_funct_2, axiom, (! [A, B] : (! [C] : (v1_partfun1(C, A) => v1_funct_2(C, A, B)) ) ) ). 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(cc1_partfun1, axiom, (! [A, B] : (! [C] : ($true => v1_partfun1(C, A)) ) ) ). fof(cc1_relset_1, axiom, (! [A, B] : (! [C] : ($true => v1_relat_1(C)) ) ) ). fof(cc1_valued_0, axiom, (! [A] : ( (v1_relat_1(A) & v4_valued_0(A)) => (v1_relat_1(A) & v5_relat_1(A, k4_numbers)) ) ) ). fof(cc1_xreal_0, axiom, (! [A] : ($true => v1_xreal_0(A)) ) ). fof(cc20_membered, axiom, (! [A] : (! [B] : ($true => v2_membered(B)) ) ) ). fof(cc20_valued_0, axiom, (! [A, B] : (! [C] : ($true => v5_relat_1(C, k4_numbers)) ) ) ). fof(cc21_membered, axiom, (! [A] : (! [B] : ($true => v3_membered(B)) ) ) ). fof(cc21_valued_0, axiom, (! [A, B] : (! [C] : ($true => v4_valued_0(C)) ) ) ). fof(cc22_membered, axiom, (! [A] : (! [B] : ($true => v4_membered(B)) ) ) ). fof(cc23_membered, axiom, (! [A] : (! [B] : ($true => v5_membered(B)) ) ) ). fof(cc24_membered, axiom, (! [A] : (! [B] : ($true => v6_membered(B)) ) ) ). fof(cc25_membered, axiom, (! [A] : ($true => v6_membered(A)) ) ). fof(cc26_membered, axiom, (! [A] : (v1_xboole_0(A) => v7_membered(A)) ) ). fof(cc2_funct_2, axiom, (! [A, B] : (! [C] : (v1_funct_2(C, A, B) => v1_partfun1(C, A)) ) ) ). fof(cc2_membered, axiom, (! [A] : (v5_membered(A) => v4_membered(A)) ) ). fof(cc2_ordinal1, axiom, (! [A] : ( (v1_ordinal1(A) & v2_ordinal1(A)) => v3_ordinal1(A)) ) ). fof(cc2_partfun1, axiom, (! [A, B] : (! [C] : ($true => ~ (v1_partfun1(C, A)) ) ) ) ). fof(cc2_relset_1, axiom, (! [A, B] : (! [C] : ($true => (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ). fof(cc2_valued_0, axiom, (! [A] : ( (v1_relat_1(A) & v5_relat_1(A, k4_numbers)) => (v1_relat_1(A) & v5_relat_1(A, k3_numbers)) ) ) ). fof(cc2_xreal_0, axiom, (! [A] : (v7_ordinal1(A) => v1_xreal_0(A)) ) ). fof(cc30_valued_0, axiom, (! [A] : ( (v1_relat_1(A) & v5_relat_1(A, k1_numbers)) => (v1_relat_1(A) & v3_valued_0(A)) ) ) ). fof(cc31_valued_0, axiom, (! [A] : ( (v1_relat_1(A) & v5_relat_1(A, k5_numbers)) => (v1_relat_1(A) & v4_valued_0(A)) ) ) ). fof(cc3_funct_2, axiom, (! [A, B] : (! [C] : (v1_funct_2(C, A, B) => v1_partfun1(C, A)) ) ) ). fof(cc3_membered, axiom, (! [A] : (v4_membered(A) => v3_membered(A)) ) ). fof(cc3_ordinal1, axiom, (! [A] : (v1_xboole_0(A) => v3_ordinal1(A)) ) ). fof(cc3_relset_1, axiom, (! [A, B] : (! [C] : ($true => v1_xboole_0(C)) ) ) ). fof(cc3_valued_0, axiom, (! [A] : ( (v1_relat_1(A) & v5_relat_1(A, k4_numbers)) => (v1_relat_1(A) & v3_valued_0(A)) ) ) ). fof(cc3_xreal_0, axiom, (! [A] : (v1_xreal_0(A) => v1_xcmplx_0(A)) ) ). fof(cc4_funct_2, axiom, (! [A] : (! [B] : (v1_funct_2(B, A, A) => v1_partfun1(B, A)) ) ) ). fof(cc4_membered, axiom, (! [A] : (v3_membered(A) => v2_membered(A)) ) ). fof(cc4_ordinal1, axiom, (! [A] : (v1_xboole_0(A) => v5_ordinal1(A)) ) ). fof(cc4_relset_1, axiom, (! [A, B] : (! [C] : ($true => v1_xboole_0(C)) ) ) ). fof(cc4_valued_0, axiom, (! [A] : ( (v1_relat_1(A) & v5_relat_1(A, k3_numbers)) => (v1_relat_1(A) & v3_valued_0(A)) ) ) ). fof(cc4_xreal_0, axiom, (! [A] : (v1_xreal_0(A) => v1_xxreal_0(A)) ) ). fof(cc5_membered, axiom, (! [A] : (v3_membered(A) => v1_membered(A)) ) ). fof(cc5_ordinal1, axiom, (! [A] : (! [B] : ($true => v3_ordinal1(B)) ) ) ). fof(cc5_valued_0, axiom, (! [A] : ( (v1_relat_1(A) & v3_valued_0(A)) => (v1_relat_1(A) & v2_valued_0(A)) ) ) ). fof(cc6_ordinal1, axiom, (! [A] : (v7_ordinal1(A) => v3_ordinal1(A)) ) ). fof(cc6_valued_0, axiom, (! [A] : ( (v1_relat_1(A) & v3_valued_0(A)) => (v1_relat_1(A) & v1_valued_0(A)) ) ) ). fof(cc7_ordinal1, axiom, (! [A] : (v1_xboole_0(A) => v7_ordinal1(A)) ) ). fof(cc7_valued_0, axiom, (! [A] : ( (v1_relat_1(A) & v4_valued_0(A)) => (v1_relat_1(A) & v5_relat_1(A, k3_numbers)) ) ) ). fof(cc8_funct_2, axiom, (! [A, B] : (! [C] : ( (v1_funct_1(C) & v1_funct_2(C, A, B)) => (v1_funct_1(C) & ( ~ (v1_xboole_0(C)) & v1_funct_2(C, A, B)) ) ) ) ) ). fof(cc8_membered, axiom, (! [A] : ($true => v3_membered(A)) ) ). fof(cc8_ordinal1, axiom, (! [A] : ($true => v7_ordinal1(A)) ) ). fof(cc8_valued_0, axiom, (! [A] : ( (v1_relat_1(A) & v4_valued_0(A)) => (v1_relat_1(A) & v3_valued_0(A)) ) ) ). fof(cc9_membered, axiom, (! [A] : ($true => v4_membered(A)) ) ). fof(cc9_ordinal1, axiom, (! [A] : (v1_xboole_0(A) => v6_ordinal1(A)) ) ). fof(cc9_valued_0, axiom, (! [A] : ( (v1_xboole_0(A) & v1_relat_1(A)) => (v1_relat_1(A) & v4_valued_0(A)) ) ) ). fof(commutativity_k2_xcmplx_0, axiom, (! [A, B] : k2_xcmplx_0(A, B)=k2_xcmplx_0(B, A)) ). fof(commutativity_k3_xboole_0, axiom, (! [A, B] : k3_xboole_0(A, B)=k3_xboole_0(B, A)) ). fof(commutativity_k3_xcmplx_0, axiom, (! [A, B] : k3_xcmplx_0(A, B)=k3_xcmplx_0(B, A)) ). fof(commutativity_k4_xxreal_0, axiom, (! [A, B] : k4_xxreal_0(A, B)=k4_xxreal_0(B, A)) ). fof(commutativity_k7_nat_1, axiom, (! [A, B] : k7_nat_1(A, B)=k7_nat_1(B, A)) ). fof(commutativity_k7_real_1, axiom, (! [A, B] : k7_real_1(A, B)=k7_real_1(B, A)) ). fof(commutativity_k8_subset_1, axiom, (! [A, B, C] : k8_subset_1(A, B, C)=k8_subset_1(A, C, B)) ). fof(connectedness_r1_xxreal_0, axiom, (! [A, B] : (r1_xxreal_0(A, B) | r1_xxreal_0(B, A)) ) ). fof(d12_seqfunc, axiom, (! [A] : (! [B] : (! [C] : (r3_seqfunc(A, B, C) <=> (r1_seqfunc(A, k1_numbers, B, C) & (? [D] : (C=k1_relset_1(A, D) & (! [E] : ~ ( ( ~ (r1_xxreal_0(E, k6_numbers)) & (! [F] : (? [G] : (? [H] : (r1_xxreal_0(F, G) & (r2_hidden(H, C) & r1_xxreal_0(E, k18_complex1(k9_real_1(k1_seq_1(k1_seqfunc(A, k1_numbers, B, G), H), k1_seq_1(D, H))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ). fof(d13_seqfunc, axiom, (! [A] : (! [B] : (! [C] : (r2_seqfunc(A, B, C) => (! [D] : (D=k11_seqfunc(A, B, C) <=> (k1_relset_1(A, D)=C & (! [E] : (r2_hidden(E, k1_relset_1(A, D)) => k1_seq_1(D, E)=k2_seq_2(k10_seqfunc(A, B, E))) ) ) ) ) ) ) ) ) ). fof(d1_xreal_0, axiom, (! [A] : (v1_xreal_0(A) <=> r2_hidden(A, k1_numbers)) ) ). fof(d2_fcont_1, axiom, (! [A] : (v1_fcont_1(A) <=> (! [B] : (r2_hidden(B, k1_relset_1(k1_numbers, A)) => r1_fcont_1(A, B)) ) ) ) ). fof(d2_xboole_0, axiom, k1_xboole_0=the(v1_xboole_0)). fof(d9_seqfunc, axiom, (! [A] : (! [B] : (! [C] : (! [D] : (r1_seqfunc(A, B, C, D) <=> ( ~ (D=k1_xboole_0) & (! [E] : r1_tarski(D, k1_relset_1(A, k1_seqfunc(A, B, C, E)))) ) ) ) ) ) ) ). fof(dt_k10_real_1, axiom, (! [A, B] : m1_subset_1(k10_real_1(A, B), k1_numbers)) ). fof(dt_k10_seqfunc, axiom, (! [A, B, C] : (v1_funct_1(k10_seqfunc(A, B, C)) & (v1_funct_2(k10_seqfunc(A, B, C), k5_numbers, k1_numbers) & m1_subset_1(k10_seqfunc(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k5_numbers, k1_numbers)))) ) ) ). fof(dt_k10_xtuple_0, axiom, (! [A] : $true) ). fof(dt_k11_seqfunc, axiom, (! [A, B, C] : (v1_funct_1(k11_seqfunc(A, B, C)) & m1_subset_1(k11_seqfunc(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ). fof(dt_k16_complex1, axiom, (! [A] : v1_xreal_0(k16_complex1(A))) ). fof(dt_k17_complex1, axiom, (! [A] : m1_subset_1(k17_complex1(A), k1_numbers)) ). fof(dt_k18_complex1, axiom, (! [A] : m1_subset_1(k18_complex1(A), k1_numbers)) ). fof(dt_k1_funct_1, axiom, (! [A, B] : $true) ). fof(dt_k1_numbers, axiom, $true). fof(dt_k1_real_1, axiom, (! [A] : m1_subset_1(k1_real_1(A), k1_numbers)) ). fof(dt_k1_relset_1, axiom, (! [A, B] : m1_subset_1(k1_relset_1(A, B), k1_zfmisc_1(A))) ). fof(dt_k1_seq_1, axiom, (! [A, B] : m1_subset_1(k1_seq_1(A, B), k1_numbers)) ). fof(dt_k1_seq_2, axiom, (! [A] : v1_xreal_0(k1_seq_2(A))) ). fof(dt_k1_seqfunc, axiom, (! [A, B, C, D] : (v1_funct_1(k1_seqfunc(A, B, C, D)) & m1_subset_1(k1_seqfunc(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ). fof(dt_k1_xboole_0, axiom, $true). fof(dt_k1_zfmisc_1, axiom, (! [A] : $true) ). fof(dt_k2_partfun1, axiom, (! [A, B, C, D] : (v1_funct_1(k2_partfun1(A, B, C, D)) & m1_subset_1(k2_partfun1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ). fof(dt_k2_seq_2, axiom, (! [A] : m1_subset_1(k2_seq_2(A), k1_numbers)) ). fof(dt_k2_xcmplx_0, axiom, (! [A, B] : $true) ). fof(dt_k2_zfmisc_1, axiom, (! [A, B] : $true) ). fof(dt_k3_numbers, axiom, $true). fof(dt_k3_xboole_0, axiom, (! [A, B] : $true) ). fof(dt_k3_xcmplx_0, axiom, (! [A, B] : $true) ). fof(dt_k4_numbers, axiom, $true). fof(dt_k4_ordinal1, axiom, $true). fof(dt_k4_partfun1, axiom, (! [A, B] : $true) ). fof(dt_k4_xcmplx_0, axiom, (! [A] : v1_xcmplx_0(k4_xcmplx_0(A))) ). fof(dt_k4_xxreal_0, axiom, (! [A, B] : $true) ). fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k1_zfmisc_1(k1_numbers))). fof(dt_k5_real_1, axiom, (! [A, B] : m1_subset_1(k5_real_1(A, B), k1_numbers)) ). fof(dt_k5_relat_1, axiom, (! [A, B] : v1_relat_1(k5_relat_1(A, B))) ). fof(dt_k6_numbers, axiom, m2_subset_1(k6_numbers, k1_numbers, k5_numbers)). fof(dt_k6_real_1, axiom, (! [A, B] : m1_subset_1(k6_real_1(A, B), k1_numbers)) ). fof(dt_k6_xcmplx_0, axiom, (! [A, B] : $true) ). fof(dt_k7_nat_1, axiom, (! [A, B] : m2_subset_1(k7_nat_1(A, B), k1_numbers, k5_numbers)) ). fof(dt_k7_real_1, axiom, (! [A, B] : m1_subset_1(k7_real_1(A, B), k1_numbers)) ). fof(dt_k7_xcmplx_0, axiom, (! [A, B] : $true) ). fof(dt_k8_subset_1, axiom, (! [A, B, C] : m1_subset_1(k8_subset_1(A, B, C), k1_zfmisc_1(A))) ). fof(dt_k9_real_1, axiom, (! [A, B] : m1_subset_1(k9_real_1(A, B), k1_numbers)) ). fof(dt_k9_xtuple_0, axiom, (! [A] : $true) ). fof(dt_m1_subset_1, axiom, (! [A] : (! [B] : (m1_subset_1(B, A) => $true) ) ) ). fof(dt_m2_subset_1, axiom, (! [A, B] : (! [C] : (m2_subset_1(C, A, B) => m1_subset_1(C, A)) ) ) ). fof(existence_m1_subset_1, axiom, (! [A] : (? [B] : m1_subset_1(B, A)) ) ). fof(existence_m2_subset_1, axiom, (! [A, B] : (? [C] : m2_subset_1(C, A, B)) ) ). fof(fc108_valued_1, axiom, (! [A] : v6_membered(k9_xtuple_0(A))) ). fof(fc10_relset_1, axiom, (! [A, B] : ( ~ (v1_xboole_0(k5_relat_1(A, B))) & v1_relat_1(k5_relat_1(A, B))) ) ). fof(fc10_xreal_0, axiom, (! [A, B] : ~ (v2_xxreal_0(k2_xcmplx_0(A, B))) ) ). fof(fc11_xreal_0, axiom, (! [A, B] : v2_xxreal_0(k2_xcmplx_0(A, B))) ). fof(fc12_xreal_0, axiom, (! [A, B] : v2_xxreal_0(k2_xcmplx_0(B, A))) ). fof(fc13_valued_0, axiom, (! [A, B] : v1_valued_0(k3_xboole_0(A, B))) ). fof(fc13_xreal_0, axiom, (! [A, B] : v3_xxreal_0(k2_xcmplx_0(A, B))) ). fof(fc14_xreal_0, axiom, (! [A, B] : v3_xxreal_0(k2_xcmplx_0(B, A))) ). fof(fc15_valued_0, axiom, (! [A, B] : v2_valued_0(k3_xboole_0(A, B))) ). fof(fc15_xreal_0, axiom, (! [A] : (v1_xcmplx_0(k4_xcmplx_0(A)) & ~ (v3_xxreal_0(k4_xcmplx_0(A))) ) ) ). fof(fc16_xreal_0, axiom, (! [A] : (v1_xcmplx_0(k4_xcmplx_0(A)) & ~ (v2_xxreal_0(k4_xcmplx_0(A))) ) ) ). fof(fc17_valued_0, axiom, (! [A, B] : v3_valued_0(k3_xboole_0(A, B))) ). fof(fc17_xreal_0, axiom, (! [A, B] : ~ (v3_xxreal_0(k6_xcmplx_0(A, B))) ) ). fof(fc18_xreal_0, axiom, (! [A, B] : ~ (v2_xxreal_0(k6_xcmplx_0(B, A))) ) ). fof(fc19_valued_0, axiom, (! [A, B] : v5_relat_1(k3_xboole_0(A, B), k3_numbers)) ). fof(fc19_xreal_0, axiom, (! [A, B] : v2_xxreal_0(k6_xcmplx_0(A, B))) ). fof(fc1_numbers, axiom, ~ (v1_xboole_0(k1_numbers)) ). fof(fc1_partfun1, axiom, (! [A, B] : ~ (v1_xboole_0(k4_partfun1(A, B))) ) ). fof(fc1_valued_0, axiom, (! [A] : v1_membered(k10_xtuple_0(A))) ). fof(fc1_valued_1, axiom, (! [A] : (v1_xreal_0(k16_complex1(A)) & v1_rat_1(k16_complex1(A))) ) ). fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)). fof(fc20_xreal_0, axiom, (! [A, B] : v3_xxreal_0(k6_xcmplx_0(B, A))) ). fof(fc21_valued_0, axiom, (! [A, B] : v5_relat_1(k3_xboole_0(A, B), k4_numbers)) ). fof(fc21_xreal_0, axiom, (! [A, B] : v3_xxreal_0(k6_xcmplx_0(A, B))) ). fof(fc22_xreal_0, axiom, (! [A, B] : v2_xxreal_0(k6_xcmplx_0(B, A))) ). fof(fc23_valued_0, axiom, (! [A, B] : v4_valued_0(k3_xboole_0(A, B))) ). fof(fc23_xreal_0, axiom, (! [A, B] : ~ (v2_xxreal_0(k3_xcmplx_0(A, B))) ) ). fof(fc24_xreal_0, axiom, (! [A, B] : ~ (v2_xxreal_0(k3_xcmplx_0(B, A))) ) ). fof(fc25_xreal_0, axiom, (! [A, B] : ~ (v3_xxreal_0(k3_xcmplx_0(A, B))) ) ). fof(fc26_xreal_0, axiom, (! [A, B] : ~ (v3_xxreal_0(k3_xcmplx_0(A, B))) ) ). fof(fc2_relset_1, axiom, (! [A, B, C] : v4_relat_1(k3_xboole_0(B, C), A)) ). fof(fc2_valued_0, axiom, (! [A] : v2_membered(k10_xtuple_0(A))) ). fof(fc31_membered, axiom, (! [A, B] : v1_membered(k3_xboole_0(A, B))) ). fof(fc31_xreal_0, axiom, (! [A, B] : ~ (v2_xxreal_0(k7_xcmplx_0(A, B))) ) ). fof(fc32_membered, axiom, (! [A, B] : v1_membered(k3_xboole_0(B, A))) ). fof(fc32_xreal_0, axiom, (! [A, B] : ~ (v2_xxreal_0(k7_xcmplx_0(B, A))) ) ). fof(fc33_membered, axiom, (! [A, B] : v2_membered(k3_xboole_0(A, B))) ). fof(fc33_xreal_0, axiom, (! [A, B] : ~ (v3_xxreal_0(k7_xcmplx_0(A, B))) ) ). fof(fc34_membered, axiom, (! [A, B] : v2_membered(k3_xboole_0(B, A))) ). fof(fc34_xreal_0, axiom, (! [A, B] : ~ (v3_xxreal_0(k7_xcmplx_0(A, B))) ) ). fof(fc35_membered, axiom, (! [A, B] : v3_membered(k3_xboole_0(A, B))) ). fof(fc36_membered, axiom, (! [A, B] : v3_membered(k3_xboole_0(B, A))) ). fof(fc36_xreal_0, axiom, (! [A, B] : v1_xreal_0(k4_xxreal_0(A, B))) ). fof(fc37_membered, axiom, (! [A, B] : v4_membered(k3_xboole_0(A, B))) ). fof(fc38_membered, axiom, (! [A, B] : v4_membered(k3_xboole_0(B, A))) ). fof(fc39_membered, axiom, (! [A, B] : v5_membered(k3_xboole_0(A, B))) ). fof(fc3_membered, axiom, v3_membered(k1_numbers)). fof(fc3_numbers, axiom, ~ (v1_xboole_0(k3_numbers)) ). fof(fc3_valued_0, axiom, (! [A] : v3_membered(k10_xtuple_0(A))) ). fof(fc3_xreal_0, axiom, (! [A] : (v1_xcmplx_0(k4_xcmplx_0(A)) & v1_xreal_0(k4_xcmplx_0(A))) ) ). fof(fc40_membered, axiom, (! [A, B] : v5_membered(k3_xboole_0(B, A))) ). fof(fc41_membered, axiom, (! [A, B] : v6_membered(k3_xboole_0(A, B))) ). fof(fc42_membered, axiom, (! [A, B] : v6_membered(k3_xboole_0(B, A))) ). fof(fc43_valued_0, axiom, (! [A, B] : (v1_relat_1(k5_relat_1(A, B)) & v1_valued_0(k5_relat_1(A, B))) ) ). fof(fc44_valued_0, axiom, (! [A, B] : (v1_relat_1(k5_relat_1(A, B)) & v2_valued_0(k5_relat_1(A, B))) ) ). fof(fc45_valued_0, axiom, (! [A, B] : (v1_relat_1(k5_relat_1(A, B)) & v3_valued_0(k5_relat_1(A, B))) ) ). fof(fc46_valued_0, axiom, (! [A, B] : (v1_relat_1(k5_relat_1(A, B)) & v5_relat_1(k5_relat_1(A, B), k3_numbers)) ) ). fof(fc47_valued_0, axiom, (! [A, B] : (v1_relat_1(k5_relat_1(A, B)) & v5_relat_1(k5_relat_1(A, B), k4_numbers)) ) ). fof(fc48_valued_0, axiom, (! [A, B] : (v1_relat_1(k5_relat_1(A, B)) & v4_valued_0(k5_relat_1(A, B))) ) ). fof(fc4_membered, axiom, v4_membered(k3_numbers)). fof(fc4_numbers, axiom, ~ (v1_xboole_0(k4_numbers)) ). fof(fc4_ordinal1, axiom, (! [A] : v3_ordinal1(k9_xtuple_0(A))) ). fof(fc4_partfun1, axiom, (! [A, B] : v4_funct_1(k4_partfun1(A, B))) ). fof(fc4_valued_0, axiom, (! [A] : v4_membered(k10_xtuple_0(A))) ). fof(fc56_membered, axiom, v7_membered(k1_numbers)). fof(fc57_membered, axiom, v7_membered(k3_numbers)). fof(fc58_membered, axiom, v7_membered(k4_numbers)). fof(fc59_membered, axiom, v7_membered(k4_ordinal1)). fof(fc5_membered, axiom, v5_membered(k4_numbers)). fof(fc5_ordinal1, axiom, (! [A, B] : (v1_relat_1(k5_relat_1(A, B)) & (v5_relat_1(k5_relat_1(A, B), k10_xtuple_0(A)) & v5_ordinal1(k5_relat_1(A, B))) ) ) ). fof(fc5_relset_1, axiom, (! [A, B, C] : v5_relat_1(k3_xboole_0(B, C), A)) ). fof(fc5_valued_0, axiom, (! [A] : v5_membered(k10_xtuple_0(A))) ). fof(fc5_xreal_0, axiom, (! [A, B] : v1_xreal_0(k2_xcmplx_0(A, B))) ). fof(fc61_valued_0, axiom, (! [A, B] : v1_xcmplx_0(k1_funct_1(A, B))) ). fof(fc62_valued_0, axiom, (! [A, B] : v1_xxreal_0(k1_funct_1(A, B))) ). fof(fc63_valued_0, axiom, (! [A, B] : v1_xreal_0(k1_funct_1(A, B))) ). fof(fc64_valued_0, axiom, (! [A, B] : v1_rat_1(k1_funct_1(A, B))) ). fof(fc65_valued_0, axiom, (! [A, B] : v1_int_1(k1_funct_1(A, B))) ). fof(fc66_valued_0, axiom, (! [A, B] : v7_ordinal1(k1_funct_1(A, B))) ). fof(fc6_membered, axiom, v6_membered(k4_ordinal1)). fof(fc6_numbers, axiom, ~ (v1_finset_1(k4_numbers)) ). fof(fc6_ordinal1, axiom, ( ~ (v1_xboole_0(k4_ordinal1)) & v3_ordinal1(k4_ordinal1)) ). fof(fc6_valued_0, axiom, (! [A] : v6_membered(k10_xtuple_0(A))) ). fof(fc6_xreal_0, axiom, (! [A, B] : v1_xreal_0(k3_xcmplx_0(A, B))) ). fof(fc7_numbers, axiom, ~ (v1_finset_1(k3_numbers)) ). fof(fc7_xreal_0, axiom, (! [A, B] : v1_xreal_0(k6_xcmplx_0(A, B))) ). fof(fc85_valued_0, axiom, (! [A, B] : v1_valued_0(k2_zfmisc_1(A, B))) ). fof(fc86_valued_0, axiom, (! [A, B] : v2_valued_0(k2_zfmisc_1(A, B))) ). fof(fc87_valued_0, axiom, (! [A, B] : v3_valued_0(k2_zfmisc_1(A, B))) ). fof(fc88_valued_0, axiom, (! [A, B] : v5_relat_1(k2_zfmisc_1(A, B), k3_numbers)) ). fof(fc89_valued_0, axiom, (! [A, B] : v5_relat_1(k2_zfmisc_1(A, B), k4_numbers)) ). fof(fc8_numbers, axiom, ~ (v1_finset_1(k1_numbers)) ). fof(fc8_relset_1, axiom, (! [A, B, C, D] : v1_relat_1(k9_xtuple_0(D))) ). fof(fc8_xreal_0, axiom, (! [A, B] : v1_xreal_0(k7_xcmplx_0(A, B))) ). fof(fc90_valued_0, axiom, (! [A, B] : v4_valued_0(k2_zfmisc_1(A, B))) ). fof(fc9_relset_1, axiom, (! [A, B, C, D] : v1_relat_1(k10_xtuple_0(D))) ). fof(fc9_xreal_0, axiom, (! [A, B] : ~ (v3_xxreal_0(k2_xcmplx_0(A, B))) ) ). fof(idempotence_k3_xboole_0, axiom, (! [A, B] : k3_xboole_0(A, A)=A) ). fof(idempotence_k4_xxreal_0, axiom, (! [A, B] : k4_xxreal_0(A, A)=A) ). fof(idempotence_k7_nat_1, axiom, (! [A, B] : k7_nat_1(A, A)=A) ). fof(idempotence_k8_subset_1, axiom, (! [A, B, C] : k8_subset_1(A, B, B)=B) ). fof(involutiveness_k1_real_1, axiom, (! [A] : k1_real_1(k1_real_1(A))=A) ). fof(involutiveness_k4_xcmplx_0, axiom, (! [A] : k4_xcmplx_0(k4_xcmplx_0(A))=A) ). fof(projectivity_k16_complex1, axiom, (! [A] : k16_complex1(k16_complex1(A))=k16_complex1(A)) ). fof(projectivity_k17_complex1, axiom, (! [A] : k17_complex1(k17_complex1(A))=k17_complex1(A)) ). fof(projectivity_k18_complex1, axiom, (! [A] : k18_complex1(k18_complex1(A))=k18_complex1(A)) ). fof(rc1_funct_2, axiom, (! [A, B] : (? [C] : (v1_relat_1(C) & (v4_relat_1(C, A) & (v5_relat_1(C, B) & (v1_funct_1(C) & v1_funct_2(C, A, B)) ) ) ) ) ) ). fof(rc1_membered, axiom, (? [A] : ( ~ (v1_xboole_0(A)) & v6_membered(A)) ) ). fof(rc1_ordinal1, axiom, (? [A] : v3_ordinal1(A)) ). fof(rc1_partfun1, axiom, (! [A, B] : (? [C] : (v1_relat_1(C) & (v4_relat_1(C, A) & (v5_relat_1(C, B) & v1_funct_1(C)) ) ) ) ) ). fof(rc1_relset_1, axiom, (! [A, B] : (? [C] : (v1_xboole_0(C) & (v1_relat_1(C) & (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ) ). fof(rc1_valued_0, axiom, (? [A] : (v1_relat_1(A) & (v1_funct_1(A) & v4_valued_0(A)) ) ) ). fof(rc1_xboole_0, axiom, (? [A] : v1_xboole_0(A)) ). fof(rc1_xreal_0, axiom, (? [A] : v1_xreal_0(A)) ). fof(rc2_membered, axiom, (? [A] : ( ~ (v1_xboole_0(A)) & v6_membered(A)) ) ). fof(rc2_ordinal1, axiom, (? [A] : ( ~ (v1_xboole_0(A)) & (v1_ordinal1(A) & (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ). fof(rc2_valued_1, axiom, (? [A] : (v1_relat_1(A) & (v4_relat_1(A, k5_numbers) & (v1_funct_1(A) & ~ (v1_xboole_0(A)) ) ) ) ) ). fof(rc2_xboole_0, axiom, (? [A] : ~ (v1_xboole_0(A)) ) ). fof(rc2_xreal_0, axiom, (? [A] : (v1_xcmplx_0(A) & (v1_xxreal_0(A) & (v2_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ). fof(rc3_membered, axiom, (? [A] : ( ~ (v1_xboole_0(A)) & (v6_membered(A) & v7_membered(A)) ) ) ). fof(rc3_ordinal1, axiom, (! [A] : (? [B] : (v1_relat_1(B) & (v5_relat_1(B, A) & (v1_funct_1(B) & v5_ordinal1(B)) ) ) ) ) ). fof(rc3_partfun1, axiom, (! [A, B] : (? [C] : (v1_relat_1(C) & (v4_relat_1(C, A) & (v5_relat_1(C, B) & (v1_funct_1(C) & ~ (v1_xboole_0(C)) ) ) ) ) ) ) ). fof(rc3_valued_1, axiom, (? [A] : (v1_relat_1(A) & (v4_relat_1(A, k5_numbers) & (v1_funct_1(A) & ( ~ (v1_xboole_0(A)) & v1_finset_1(A)) ) ) ) ) ). fof(rc3_xreal_0, axiom, (? [A] : (v1_xcmplx_0(A) & (v1_xxreal_0(A) & (v3_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ). fof(rc4_ordinal1, axiom, (? [A] : v7_ordinal1(A)) ). fof(rc4_xreal_0, axiom, (? [A] : (v1_xboole_0(A) & (v1_xcmplx_0(A) & (v1_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ). fof(rc5_ordinal1, axiom, (? [A] : ( ~ (v1_xboole_0(A)) & v7_ordinal1(A)) ) ). fof(rc5_valued_1, axiom, (! [A] : (? [B] : (v1_relat_1(B) & (v4_relat_1(B, A) & (v5_relat_1(B, k3_numbers) & (v1_funct_1(B) & (v1_partfun1(B, A) & (v1_valued_0(B) & (v2_valued_0(B) & (v3_valued_0(B) & v4_valued_0(B)) ) ) ) ) ) ) ) ) ) ). fof(rc6_valued_0, axiom, (! [A] : (? [B] : (v1_relat_1(B) & (v4_relat_1(B, A) & (v1_funct_1(B) & (v1_partfun1(B, A) & v4_valued_0(B)) ) ) ) ) ) ). fof(redefinition_k10_real_1, axiom, (! [A, B] : k10_real_1(A, B)=k7_xcmplx_0(A, B)) ). fof(redefinition_k17_complex1, axiom, (! [A] : k17_complex1(A)=k16_complex1(A)) ). fof(redefinition_k18_complex1, axiom, (! [A] : k18_complex1(A)=k16_complex1(A)) ). fof(redefinition_k1_real_1, axiom, (! [A] : k1_real_1(A)=k4_xcmplx_0(A)) ). fof(redefinition_k1_relset_1, axiom, (! [A, B] : k1_relset_1(A, B)=k9_xtuple_0(B)) ). fof(redefinition_k1_seq_1, axiom, (! [A, B] : k1_seq_1(A, B)=k1_funct_1(A, B)) ). fof(redefinition_k1_seqfunc, axiom, (! [A, B, C, D] : k1_seqfunc(A, B, C, D)=k1_funct_1(C, D)) ). fof(redefinition_k2_partfun1, axiom, (! [A, B, C, D] : k2_partfun1(A, B, C, D)=k5_relat_1(C, D)) ). fof(redefinition_k2_seq_2, axiom, (! [A] : k2_seq_2(A)=k1_seq_2(A)) ). fof(redefinition_k5_numbers, axiom, k5_numbers=k4_ordinal1). fof(redefinition_k5_real_1, axiom, (! [A, B] : k5_real_1(A, B)=k6_xcmplx_0(A, B)) ). fof(redefinition_k6_numbers, axiom, k6_numbers=k1_xboole_0). fof(redefinition_k6_real_1, axiom, (! [A, B] : k6_real_1(A, B)=k7_xcmplx_0(A, B)) ). fof(redefinition_k7_nat_1, axiom, (! [A, B] : k7_nat_1(A, B)=k4_xxreal_0(A, B)) ). fof(redefinition_k7_real_1, axiom, (! [A, B] : k7_real_1(A, B)=k2_xcmplx_0(A, B)) ). fof(redefinition_k8_subset_1, axiom, (! [A, B, C] : k8_subset_1(A, B, C)=k3_xboole_0(B, C)) ). fof(redefinition_k9_real_1, axiom, (! [A, B] : k9_real_1(A, B)=k6_xcmplx_0(A, B)) ). fof(redefinition_m2_subset_1, axiom, (! [A, B] : (! [C] : (m2_subset_1(C, A, B) <=> m1_subset_1(C, B)) ) ) ). fof(redefinition_r2_relset_1, axiom, (! [A, B, C, D] : (r2_relset_1(A, B, C, D) <=> C=D) ) ). fof(reflexivity_r1_tarski, axiom, (! [A, B] : r1_tarski(A, A)) ). fof(reflexivity_r1_xxreal_0, axiom, (! [A, B] : r1_xxreal_0(A, A)) ). fof(reflexivity_r2_relset_1, axiom, (! [A, B, C, D] : r2_relset_1(A, B, C, C)) ). fof(rqLessOrEqual__r1_xxreal_0__r0_r0, axiom, r1_xxreal_0(np__0, np__0)). fof(rqLessOrEqual__r1_xxreal_0__r0_r1, axiom, r1_xxreal_0(np__0, np__1)). fof(rqLessOrEqual__r1_xxreal_0__r0_r2, axiom, r1_xxreal_0(np__0, np__2)). fof(rqLessOrEqual__r1_xxreal_0__r0_r3, axiom, r1_xxreal_0(np__0, np__3)). fof(rqLessOrEqual__r1_xxreal_0__r0_rm1, axiom, ~ (r1_xxreal_0(np__0, k4_xcmplx_0(np__1))) ). fof(rqLessOrEqual__r1_xxreal_0__r0_rm2, axiom, ~ (r1_xxreal_0(np__0, k4_xcmplx_0(np__2))) ). fof(rqLessOrEqual__r1_xxreal_0__r0_rm3, axiom, ~ (r1_xxreal_0(np__0, k4_xcmplx_0(np__3))) ). fof(rqLessOrEqual__r1_xxreal_0__r0_rn1d2, axiom, r1_xxreal_0(np__0, k7_xcmplx_0(np__1, np__2))). fof(rqLessOrEqual__r1_xxreal_0__r0_rn1d3, axiom, r1_xxreal_0(np__0, k7_xcmplx_0(np__1, np__3))). fof(rqLessOrEqual__r1_xxreal_0__r0_rn2d3, axiom, r1_xxreal_0(np__0, k7_xcmplx_0(np__2, np__3))). fof(rqLessOrEqual__r1_xxreal_0__r0_rn3d2, axiom, r1_xxreal_0(np__0, k7_xcmplx_0(np__3, np__2))). fof(rqLessOrEqual__r1_xxreal_0__r0_rnm1d2, axiom, ~ (r1_xxreal_0(np__0, k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))) ). fof(rqLessOrEqual__r1_xxreal_0__r0_rnm1d3, axiom, ~ (r1_xxreal_0(np__0, k7_xcmplx_0(k4_xcmplx_0(np__1), np__3))) ). fof(rqLessOrEqual__r1_xxreal_0__r1_r0, axiom, ~ (r1_xxreal_0(np__1, np__0)) ). fof(rqLessOrEqual__r1_xxreal_0__r1_r1, axiom, r1_xxreal_0(np__1, np__1)). fof(rqLessOrEqual__r1_xxreal_0__r1_r2, axiom, r1_xxreal_0(np__1, np__2)). fof(rqLessOrEqual__r1_xxreal_0__r1_r3, axiom, r1_xxreal_0(np__1, np__3)). fof(rqLessOrEqual__r1_xxreal_0__r1_rm1, axiom, ~ (r1_xxreal_0(np__1, k4_xcmplx_0(np__1))) ). fof(rqLessOrEqual__r1_xxreal_0__r1_rm2, axiom, ~ (r1_xxreal_0(np__1, k4_xcmplx_0(np__2))) ). fof(rqLessOrEqual__r1_xxreal_0__r1_rm3, axiom, ~ (r1_xxreal_0(np__1, k4_xcmplx_0(np__3))) ). fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d2, axiom, ~ (r1_xxreal_0(np__1, k7_xcmplx_0(np__1, np__2))) ). fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d3, axiom, ~ (r1_xxreal_0(np__1, k7_xcmplx_0(np__1, np__3))) ). fof(rqLessOrEqual__r1_xxreal_0__r1_rn2d3, axiom, ~ (r1_xxreal_0(np__1, k7_xcmplx_0(np__2, np__3))) ). fof(rqLessOrEqual__r1_xxreal_0__r1_rn3d2, axiom, r1_xxreal_0(np__1, k7_xcmplx_0(np__3, np__2))). fof(rqLessOrEqual__r1_xxreal_0__r1_rnm1d2, axiom, ~ (r1_xxreal_0(np__1, k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))) ). fof(rqLessOrEqual__r1_xxreal_0__r1_rnm1d3, axiom, ~ (r1_xxreal_0(np__1, k7_xcmplx_0(k4_xcmplx_0(np__1), np__3))) ). fof(rqLessOrEqual__r1_xxreal_0__r2_r0, axiom, ~ (r1_xxreal_0(np__2, np__0)) ). fof(rqLessOrEqual__r1_xxreal_0__r2_r1, axiom, ~ (r1_xxreal_0(np__2, np__1)) ). fof(rqLessOrEqual__r1_xxreal_0__r2_r2, axiom, r1_xxreal_0(np__2, np__2)). fof(rqLessOrEqual__r1_xxreal_0__r2_r3, axiom, r1_xxreal_0(np__2, np__3)). fof(rqLessOrEqual__r1_xxreal_0__r2_rm1, axiom, ~ (r1_xxreal_0(np__2, k4_xcmplx_0(np__1))) ). fof(rqLessOrEqual__r1_xxreal_0__r2_rm2, axiom, ~ (r1_xxreal_0(np__2, k4_xcmplx_0(np__2))) ). fof(rqLessOrEqual__r1_xxreal_0__r2_rm3, axiom, ~ (r1_xxreal_0(np__2, k4_xcmplx_0(np__3))) ). fof(rqLessOrEqual__r1_xxreal_0__r2_rn1d2, axiom, ~ (r1_xxreal_0(np__2, k7_xcmplx_0(np__1, np__2))) ). fof(rqLessOrEqual__r1_xxreal_0__r2_rn1d3, axiom, ~ (r1_xxreal_0(np__2, k7_xcmplx_0(np__1, np__3))) ). fof(rqLessOrEqual__r1_xxreal_0__r2_rn2d3, axiom, ~ (r1_xxreal_0(np__2, k7_xcmplx_0(np__2, np__3))) ). fof(rqLessOrEqual__r1_xxreal_0__r2_rn3d2, axiom, ~ (r1_xxreal_0(np__2, k7_xcmplx_0(np__3, np__2))) ). fof(rqLessOrEqual__r1_xxreal_0__r2_rnm1d2, axiom, ~ (r1_xxreal_0(np__2, k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))) ). fof(rqLessOrEqual__r1_xxreal_0__r2_rnm1d3, axiom, ~ (r1_xxreal_0(np__2, k7_xcmplx_0(k4_xcmplx_0(np__1), np__3))) ). fof(rqLessOrEqual__r1_xxreal_0__r3_r0, axiom, ~ (r1_xxreal_0(np__3, np__0)) ). fof(rqLessOrEqual__r1_xxreal_0__r3_r1, axiom, ~ (r1_xxreal_0(np__3, np__1)) ). fof(rqLessOrEqual__r1_xxreal_0__r3_r2, axiom, ~ (r1_xxreal_0(np__3, np__2)) ). fof(rqLessOrEqual__r1_xxreal_0__r3_r3, axiom, r1_xxreal_0(np__3, np__3)). fof(rqLessOrEqual__r1_xxreal_0__r3_rm1, axiom, ~ (r1_xxreal_0(np__3, k4_xcmplx_0(np__1))) ). fof(rqLessOrEqual__r1_xxreal_0__r3_rm2, axiom, ~ (r1_xxreal_0(np__3, k4_xcmplx_0(np__2))) ). fof(rqLessOrEqual__r1_xxreal_0__r3_rm3, axiom, ~ (r1_xxreal_0(np__3, k4_xcmplx_0(np__3))) ). fof(rqLessOrEqual__r1_xxreal_0__r3_rn1d2, axiom, ~ (r1_xxreal_0(np__3, k7_xcmplx_0(np__1, np__2))) ). fof(rqLessOrEqual__r1_xxreal_0__r3_rn1d3, axiom, ~ (r1_xxreal_0(np__3, k7_xcmplx_0(np__1, np__3))) ). fof(rqLessOrEqual__r1_xxreal_0__r3_rn2d3, axiom, ~ (r1_xxreal_0(np__3, k7_xcmplx_0(np__2, np__3))) ). fof(rqLessOrEqual__r1_xxreal_0__r3_rn3d2, axiom, ~ (r1_xxreal_0(np__3, k7_xcmplx_0(np__3, np__2))) ). fof(rqLessOrEqual__r1_xxreal_0__r3_rnm1d2, axiom, ~ (r1_xxreal_0(np__3, k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))) ). fof(rqLessOrEqual__r1_xxreal_0__r3_rnm1d3, axiom, ~ (r1_xxreal_0(np__3, k7_xcmplx_0(k4_xcmplx_0(np__1), np__3))) ). fof(rqLessOrEqual__r1_xxreal_0__rm1_r0, axiom, r1_xxreal_0(k4_xcmplx_0(np__1), np__0)). fof(rqLessOrEqual__r1_xxreal_0__rm1_r1, axiom, r1_xxreal_0(k4_xcmplx_0(np__1), np__1)). fof(rqLessOrEqual__r1_xxreal_0__rm1_r2, axiom, r1_xxreal_0(k4_xcmplx_0(np__1), np__2)). fof(rqLessOrEqual__r1_xxreal_0__rm1_r3, axiom, r1_xxreal_0(k4_xcmplx_0(np__1), np__3)). fof(rqLessOrEqual__r1_xxreal_0__rm1_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(np__1), k4_xcmplx_0(np__1))). fof(rqLessOrEqual__r1_xxreal_0__rm1_rm2, axiom, ~ (r1_xxreal_0(k4_xcmplx_0(np__1), k4_xcmplx_0(np__2))) ). fof(rqLessOrEqual__r1_xxreal_0__rm1_rm3, axiom, ~ (r1_xxreal_0(k4_xcmplx_0(np__1), k4_xcmplx_0(np__3))) ). fof(rqLessOrEqual__r1_xxreal_0__rm1_rn1d2, axiom, r1_xxreal_0(k4_xcmplx_0(np__1), k7_xcmplx_0(np__1, np__2))). fof(rqLessOrEqual__r1_xxreal_0__rm1_rn1d3, axiom, r1_xxreal_0(k4_xcmplx_0(np__1), k7_xcmplx_0(np__1, np__3))). fof(rqLessOrEqual__r1_xxreal_0__rm1_rn2d3, axiom, r1_xxreal_0(k4_xcmplx_0(np__1), k7_xcmplx_0(np__2, np__3))). fof(rqLessOrEqual__r1_xxreal_0__rm1_rn3d2, axiom, r1_xxreal_0(k4_xcmplx_0(np__1), k7_xcmplx_0(np__3, np__2))). fof(rqLessOrEqual__r1_xxreal_0__rm1_rnm1d2, axiom, r1_xxreal_0(k4_xcmplx_0(np__1), k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))). fof(rqLessOrEqual__r1_xxreal_0__rm1_rnm1d3, axiom, r1_xxreal_0(k4_xcmplx_0(np__1), k7_xcmplx_0(k4_xcmplx_0(np__1), np__3))). fof(rqLessOrEqual__r1_xxreal_0__rm2_r0, axiom, r1_xxreal_0(k4_xcmplx_0(np__2), np__0)). fof(rqLessOrEqual__r1_xxreal_0__rm2_r1, axiom, r1_xxreal_0(k4_xcmplx_0(np__2), np__1)). fof(rqLessOrEqual__r1_xxreal_0__rm2_r2, axiom, r1_xxreal_0(k4_xcmplx_0(np__2), np__2)). fof(rqLessOrEqual__r1_xxreal_0__rm2_r3, axiom, r1_xxreal_0(k4_xcmplx_0(np__2), np__3)). fof(rqLessOrEqual__r1_xxreal_0__rm2_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(np__2), k4_xcmplx_0(np__1))). fof(rqLessOrEqual__r1_xxreal_0__rm2_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(np__2), k4_xcmplx_0(np__2))). fof(rqLessOrEqual__r1_xxreal_0__rm2_rm3, axiom, ~ (r1_xxreal_0(k4_xcmplx_0(np__2), k4_xcmplx_0(np__3))) ). fof(rqLessOrEqual__r1_xxreal_0__rm2_rn1d2, axiom, r1_xxreal_0(k4_xcmplx_0(np__2), k7_xcmplx_0(np__1, np__2))). fof(rqLessOrEqual__r1_xxreal_0__rm3_r0, axiom, r1_xxreal_0(k4_xcmplx_0(np__3), np__0)). fof(rqLessOrEqual__r1_xxreal_0__rm3_r1, axiom, r1_xxreal_0(k4_xcmplx_0(np__3), np__1)). fof(rqLessOrEqual__r1_xxreal_0__rm3_r2, axiom, r1_xxreal_0(k4_xcmplx_0(np__3), np__2)). fof(rqLessOrEqual__r1_xxreal_0__rm3_r3, axiom, r1_xxreal_0(k4_xcmplx_0(np__3), np__3)). fof(rqLessOrEqual__r1_xxreal_0__rm3_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(np__3), k4_xcmplx_0(np__1))). fof(rqLessOrEqual__r1_xxreal_0__rm3_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(np__3), k4_xcmplx_0(np__2))). fof(rqLessOrEqual__r1_xxreal_0__rm3_rm3, axiom, r1_xxreal_0(k4_xcmplx_0(np__3), k4_xcmplx_0(np__3))). fof(rqLessOrEqual__r1_xxreal_0__rm3_rn1d2, axiom, r1_xxreal_0(k4_xcmplx_0(np__3), k7_xcmplx_0(np__1, np__2))). fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r0, axiom, ~ (r1_xxreal_0(k7_xcmplx_0(np__1, np__2), np__0)) ). fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r1, axiom, r1_xxreal_0(k7_xcmplx_0(np__1, np__2), np__1)). fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r2, axiom, r1_xxreal_0(k7_xcmplx_0(np__1, np__2), np__2)). fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r3, axiom, r1_xxreal_0(k7_xcmplx_0(np__1, np__2), np__3)). fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rm1, axiom, ~ (r1_xxreal_0(k7_xcmplx_0(np__1, np__2), k4_xcmplx_0(np__1))) ). fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rm2, axiom, ~ (r1_xxreal_0(k7_xcmplx_0(np__1, np__2), k4_xcmplx_0(np__2))) ). fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rm3, axiom, ~ (r1_xxreal_0(k7_xcmplx_0(np__1, np__2), k4_xcmplx_0(np__3))) ). fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(np__1, np__2), k7_xcmplx_0(np__1, np__2))). fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn2d3, axiom, r1_xxreal_0(k7_xcmplx_0(np__1, np__2), k7_xcmplx_0(np__2, np__3))). fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn3d2, axiom, r1_xxreal_0(k7_xcmplx_0(np__1, np__2), k7_xcmplx_0(np__3, np__2))). fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rnm1d2, axiom, ~ (r1_xxreal_0(k7_xcmplx_0(np__1, np__2), k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))) ). fof(rqLessOrEqual__r1_xxreal_0__rn1d3_r0, axiom, ~ (r1_xxreal_0(k7_xcmplx_0(np__1, np__3), np__0)) ). fof(rqLessOrEqual__r1_xxreal_0__rn1d3_r1, axiom, r1_xxreal_0(k7_xcmplx_0(np__1, np__3), np__1)). fof(rqLessOrEqual__r1_xxreal_0__rn1d3_r2, axiom, r1_xxreal_0(k7_xcmplx_0(np__1, np__3), np__2)). fof(rqLessOrEqual__r1_xxreal_0__rn1d3_r3, axiom, r1_xxreal_0(k7_xcmplx_0(np__1, np__3), np__3)). fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rm1, axiom, ~ (r1_xxreal_0(k7_xcmplx_0(np__1, np__3), k4_xcmplx_0(np__1))) ). fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rn1d3, axiom, r1_xxreal_0(k7_xcmplx_0(np__1, np__3), k7_xcmplx_0(np__1, np__3))). fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rn2d3, axiom, r1_xxreal_0(k7_xcmplx_0(np__1, np__3), k7_xcmplx_0(np__2, np__3))). fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rnm1d3, axiom, ~ (r1_xxreal_0(k7_xcmplx_0(np__1, np__3), k7_xcmplx_0(k4_xcmplx_0(np__1), np__3))) ). fof(rqLessOrEqual__r1_xxreal_0__rn2d3_r0, axiom, ~ (r1_xxreal_0(k7_xcmplx_0(np__2, np__3), np__0)) ). fof(rqLessOrEqual__r1_xxreal_0__rn2d3_r1, axiom, r1_xxreal_0(k7_xcmplx_0(np__2, np__3), np__1)). fof(rqLessOrEqual__r1_xxreal_0__rn2d3_r2, axiom, r1_xxreal_0(k7_xcmplx_0(np__2, np__3), np__2)). fof(rqLessOrEqual__r1_xxreal_0__rn2d3_r3, axiom, r1_xxreal_0(k7_xcmplx_0(np__2, np__3), np__3)). fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rm1, axiom, ~ (r1_xxreal_0(k7_xcmplx_0(np__2, np__3), k4_xcmplx_0(np__1))) ). fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rn1d2, axiom, ~ (r1_xxreal_0(k7_xcmplx_0(np__2, np__3), k7_xcmplx_0(np__1, np__2))) ). fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rn1d3, axiom, ~ (r1_xxreal_0(k7_xcmplx_0(np__2, np__3), k7_xcmplx_0(np__1, np__3))) ). fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rn2d3, axiom, r1_xxreal_0(k7_xcmplx_0(np__2, np__3), k7_xcmplx_0(np__2, np__3))). fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rnm1d3, axiom, ~ (r1_xxreal_0(k7_xcmplx_0(np__2, np__3), k7_xcmplx_0(k4_xcmplx_0(np__1), np__3))) ). fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r0, axiom, ~ (r1_xxreal_0(k7_xcmplx_0(np__3, np__2), np__0)) ). fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r1, axiom, ~ (r1_xxreal_0(k7_xcmplx_0(np__3, np__2), np__1)) ). fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r2, axiom, r1_xxreal_0(k7_xcmplx_0(np__3, np__2), np__2)). fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r3, axiom, r1_xxreal_0(k7_xcmplx_0(np__3, np__2), np__3)). fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rm1, axiom, ~ (r1_xxreal_0(k7_xcmplx_0(np__3, np__2), k4_xcmplx_0(np__1))) ). fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn1d2, axiom, ~ (r1_xxreal_0(k7_xcmplx_0(np__3, np__2), k7_xcmplx_0(np__1, np__2))) ). fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn3d2, axiom, r1_xxreal_0(k7_xcmplx_0(np__3, np__2), k7_xcmplx_0(np__3, np__2))). fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rnm1d2, axiom, ~ (r1_xxreal_0(k7_xcmplx_0(np__3, np__2), k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))) ). fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r0, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), np__0)). fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), np__1)). fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), np__2)). fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), np__3)). fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rm1, axiom, ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), k4_xcmplx_0(np__1))) ). fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), k7_xcmplx_0(np__1, np__2))). fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn3d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), k7_xcmplx_0(np__3, np__2))). fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rnm1d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))). fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_r0, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__3), np__0)). fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_r1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__3), np__1)). fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_r2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__3), np__2)). fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_r3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__3), np__3)). fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rm1, axiom, ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__3), k4_xcmplx_0(np__1))) ). fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rn1d3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__3), k7_xcmplx_0(np__1, np__3))). fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rn2d3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__3), k7_xcmplx_0(np__2, np__3))). fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rnm1d3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__3), k7_xcmplx_0(k4_xcmplx_0(np__1), np__3))). fof(rqRealAdd__k2_xcmplx_0__r0_r0_r0, axiom, k2_xcmplx_0(np__0, np__0)=np__0). fof(rqRealAdd__k2_xcmplx_0__r0_r1_r1, axiom, k2_xcmplx_0(np__0, np__1)=np__1). fof(rqRealAdd__k2_xcmplx_0__r0_r2_r2, axiom, k2_xcmplx_0(np__0, np__2)=np__2). fof(rqRealAdd__k2_xcmplx_0__r0_r3_r3, axiom, k2_xcmplx_0(np__0, np__3)=np__3). fof(rqRealAdd__k2_xcmplx_0__r0_rm1_rm1, axiom, k2_xcmplx_0(np__0, k4_xcmplx_0(np__1))=k4_xcmplx_0(np__1)). fof(rqRealAdd__k2_xcmplx_0__r0_rm2_rm2, axiom, k2_xcmplx_0(np__0, k4_xcmplx_0(np__2))=k4_xcmplx_0(np__2)). fof(rqRealAdd__k2_xcmplx_0__r0_rm3_rm3, axiom, k2_xcmplx_0(np__0, k4_xcmplx_0(np__3))=k4_xcmplx_0(np__3)). fof(rqRealAdd__k2_xcmplx_0__r0_rn1d2_rn1d2, axiom, k2_xcmplx_0(np__0, k7_xcmplx_0(np__1, np__2))=k7_xcmplx_0(np__1, np__2)). fof(rqRealAdd__k2_xcmplx_0__r0_rn2d3_rn2d3, axiom, k2_xcmplx_0(np__0, k7_xcmplx_0(np__2, np__3))=k7_xcmplx_0(np__2, np__3)). fof(rqRealAdd__k2_xcmplx_0__r0_rn3d2_rn3d2, axiom, k2_xcmplx_0(np__0, k7_xcmplx_0(np__3, np__2))=k7_xcmplx_0(np__3, np__2)). fof(rqRealAdd__k2_xcmplx_0__r0_rnm1d2_rnm1d2, axiom, k2_xcmplx_0(np__0, k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__2)). fof(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom, k2_xcmplx_0(np__1, np__0)=np__1). fof(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom, k2_xcmplx_0(np__1, np__1)=np__2). fof(rqRealAdd__k2_xcmplx_0__r1_r2_r3, axiom, k2_xcmplx_0(np__1, np__2)=np__3). fof(rqRealAdd__k2_xcmplx_0__r1_rm1_r0, axiom, k2_xcmplx_0(np__1, k4_xcmplx_0(np__1))=np__0). fof(rqRealAdd__k2_xcmplx_0__r1_rm2_rm1, axiom, k2_xcmplx_0(np__1, k4_xcmplx_0(np__2))=k4_xcmplx_0(np__1)). fof(rqRealAdd__k2_xcmplx_0__r1_rm3_rm2, axiom, k2_xcmplx_0(np__1, k4_xcmplx_0(np__3))=k4_xcmplx_0(np__2)). fof(rqRealAdd__k2_xcmplx_0__r1_rn1d2_rn3d2, axiom, k2_xcmplx_0(np__1, k7_xcmplx_0(np__1, np__2))=k7_xcmplx_0(np__3, np__2)). fof(rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2, axiom, k2_xcmplx_0(np__1, k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))=k7_xcmplx_0(np__1, np__2)). fof(rqRealAdd__k2_xcmplx_0__r1_rnm1d3_rn2d3, axiom, k2_xcmplx_0(np__1, k7_xcmplx_0(k4_xcmplx_0(np__1), np__3))=k7_xcmplx_0(np__2, np__3)). fof(rqRealAdd__k2_xcmplx_0__r1_rnm2d3_rn1d3, axiom, k2_xcmplx_0(np__1, k7_xcmplx_0(k4_xcmplx_0(np__2), np__3))=k7_xcmplx_0(np__1, np__3)). fof(rqRealAdd__k2_xcmplx_0__r2_r0_r2, axiom, k2_xcmplx_0(np__2, np__0)=np__2). fof(rqRealAdd__k2_xcmplx_0__r2_r1_r3, axiom, k2_xcmplx_0(np__2, np__1)=np__3). fof(rqRealAdd__k2_xcmplx_0__r2_rm1_r1, axiom, k2_xcmplx_0(np__2, k4_xcmplx_0(np__1))=np__1). fof(rqRealAdd__k2_xcmplx_0__r2_rm2_r0, axiom, k2_xcmplx_0(np__2, k4_xcmplx_0(np__2))=np__0). fof(rqRealAdd__k2_xcmplx_0__r2_rm3_rm1, axiom, k2_xcmplx_0(np__2, k4_xcmplx_0(np__3))=k4_xcmplx_0(np__1)). fof(rqRealAdd__k2_xcmplx_0__r2_rnm1d2_rn3d2, axiom, k2_xcmplx_0(np__2, k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))=k7_xcmplx_0(np__3, np__2)). fof(rqRealAdd__k2_xcmplx_0__r2_rnm3d2_rn1d2, axiom, k2_xcmplx_0(np__2, k7_xcmplx_0(k4_xcmplx_0(np__3), np__2))=k7_xcmplx_0(np__1, np__2)). fof(rqRealAdd__k2_xcmplx_0__r3_r0_r3, axiom, k2_xcmplx_0(np__3, np__0)=np__3). fof(rqRealAdd__k2_xcmplx_0__r3_rm1_r2, axiom, k2_xcmplx_0(np__3, k4_xcmplx_0(np__1))=np__2). fof(rqRealAdd__k2_xcmplx_0__r3_rm2_r1, axiom, k2_xcmplx_0(np__3, k4_xcmplx_0(np__2))=np__1). fof(rqRealAdd__k2_xcmplx_0__r3_rm3_r0, axiom, k2_xcmplx_0(np__3, k4_xcmplx_0(np__3))=np__0). fof(rqRealAdd__k2_xcmplx_0__rm1_r0_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(np__1), np__0)=k4_xcmplx_0(np__1)). fof(rqRealAdd__k2_xcmplx_0__rm1_r1_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(np__1), np__1)=np__0). fof(rqRealAdd__k2_xcmplx_0__rm1_r2_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(np__1), np__2)=np__1). fof(rqRealAdd__k2_xcmplx_0__rm1_r3_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(np__1), np__3)=np__2). fof(rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(np__1), k4_xcmplx_0(np__1))=k4_xcmplx_0(np__2)). fof(rqRealAdd__k2_xcmplx_0__rm1_rm2_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(np__1), k4_xcmplx_0(np__2))=k4_xcmplx_0(np__3)). fof(rqRealAdd__k2_xcmplx_0__rm1_rn1d2_rnm1d2, axiom, k2_xcmplx_0(k4_xcmplx_0(np__1), k7_xcmplx_0(np__1, np__2))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__2)). fof(rqRealAdd__k2_xcmplx_0__rm1_rn2d3_rnm1d3, axiom, k2_xcmplx_0(k4_xcmplx_0(np__1), k7_xcmplx_0(np__2, np__3))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__3)). fof(rqRealAdd__k2_xcmplx_0__rm1_rn3d2_rn1d2, axiom, k2_xcmplx_0(k4_xcmplx_0(np__1), k7_xcmplx_0(np__3, np__2))=k7_xcmplx_0(np__1, np__2)). fof(rqRealAdd__k2_xcmplx_0__rm1_rnm1d2_rnm3d2, axiom, k2_xcmplx_0(k4_xcmplx_0(np__1), k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))=k7_xcmplx_0(k4_xcmplx_0(np__3), np__2)). fof(rqRealAdd__k2_xcmplx_0__rm2_r1_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(np__2), np__1)=k4_xcmplx_0(np__1)). fof(rqRealAdd__k2_xcmplx_0__rm2_r2_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(np__2), np__2)=np__0). fof(rqRealAdd__k2_xcmplx_0__rm2_r3_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(np__2), np__3)=np__1). fof(rqRealAdd__k2_xcmplx_0__rm2_rm1_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(np__2), k4_xcmplx_0(np__1))=k4_xcmplx_0(np__3)). fof(rqRealAdd__k2_xcmplx_0__rm2_rn3d2_rnm1d2, axiom, k2_xcmplx_0(k4_xcmplx_0(np__2), k7_xcmplx_0(np__3, np__2))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__2)). fof(rqRealAdd__k2_xcmplx_0__rm3_r1_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(np__3), np__1)=k4_xcmplx_0(np__2)). fof(rqRealAdd__k2_xcmplx_0__rm3_r2_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(np__3), np__2)=k4_xcmplx_0(np__1)). fof(rqRealAdd__k2_xcmplx_0__rm3_r3_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(np__3), np__3)=np__0). fof(rqRealAdd__k2_xcmplx_0__rm3_rn3d2_rnm3d2, axiom, k2_xcmplx_0(k4_xcmplx_0(np__3), k7_xcmplx_0(np__3, np__2))=k7_xcmplx_0(k4_xcmplx_0(np__3), np__2)). fof(rqRealAdd__k2_xcmplx_0__rn1d2_r0_rn1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(np__1, np__2), np__0)=k7_xcmplx_0(np__1, np__2)). fof(rqRealAdd__k2_xcmplx_0__rn1d2_r1_rn3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(np__1, np__2), np__1)=k7_xcmplx_0(np__3, np__2)). fof(rqRealAdd__k2_xcmplx_0__rn1d2_rm1_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(np__1, np__2), k4_xcmplx_0(np__1))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__2)). fof(rqRealAdd__k2_xcmplx_0__rn1d2_rm2_rnm3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(np__1, np__2), k4_xcmplx_0(np__2))=k7_xcmplx_0(k4_xcmplx_0(np__3), np__2)). fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn1d2_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(np__1, np__2), k7_xcmplx_0(np__1, np__2))=np__1). fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn3d2_r2, axiom, k2_xcmplx_0(k7_xcmplx_0(np__1, np__2), k7_xcmplx_0(np__3, np__2))=np__2). fof(rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(np__1, np__2), k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))=np__0). fof(rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d2_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(np__1, np__2), k7_xcmplx_0(k4_xcmplx_0(np__3), np__2))=k4_xcmplx_0(np__1)). fof(rqRealAdd__k2_xcmplx_0__rn1d3_rn1d3_rn2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(np__1, np__3), k7_xcmplx_0(np__1, np__3))=k7_xcmplx_0(np__2, np__3)). fof(rqRealAdd__k2_xcmplx_0__rn1d3_rn2d3_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(np__1, np__3), k7_xcmplx_0(np__2, np__3))=np__1). fof(rqRealAdd__k2_xcmplx_0__rn1d3_rnm1d3_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(np__1, np__3), k7_xcmplx_0(k4_xcmplx_0(np__1), np__3))=np__0). fof(rqRealAdd__k2_xcmplx_0__rn1d3_rnm2d3_rnm1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(np__1, np__3), k7_xcmplx_0(k4_xcmplx_0(np__2), np__3))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__3)). fof(rqRealAdd__k2_xcmplx_0__rn2d3_r0_rn2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(np__2, np__3), np__0)=k7_xcmplx_0(np__2, np__3)). fof(rqRealAdd__k2_xcmplx_0__rn2d3_rn1d3_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(np__2, np__3), k7_xcmplx_0(np__1, np__3))=np__1). fof(rqRealAdd__k2_xcmplx_0__rn2d3_rnm1d3_rn1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(np__2, np__3), k7_xcmplx_0(k4_xcmplx_0(np__1), np__3))=k7_xcmplx_0(np__1, np__3)). fof(rqRealAdd__k2_xcmplx_0__rn2d3_rnm2d3_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(np__2, np__3), k7_xcmplx_0(k4_xcmplx_0(np__2), np__3))=np__0). fof(rqRealAdd__k2_xcmplx_0__rn3d2_r0_rn3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(np__3, np__2), np__0)=k7_xcmplx_0(np__3, np__2)). fof(rqRealAdd__k2_xcmplx_0__rn3d2_rm1_rn1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(np__3, np__2), k4_xcmplx_0(np__1))=k7_xcmplx_0(np__1, np__2)). fof(rqRealAdd__k2_xcmplx_0__rn3d2_rm2_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(np__3, np__2), k4_xcmplx_0(np__2))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__2)). fof(rqRealAdd__k2_xcmplx_0__rn3d2_rn1d2_r2, axiom, k2_xcmplx_0(k7_xcmplx_0(np__3, np__2), k7_xcmplx_0(np__1, np__2))=np__2). fof(rqRealAdd__k2_xcmplx_0__rn3d2_rn3d2_r3, axiom, k2_xcmplx_0(k7_xcmplx_0(np__3, np__2), k7_xcmplx_0(np__3, np__2))=np__3). fof(rqRealAdd__k2_xcmplx_0__rn3d2_rnm1d2_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(np__3, np__2), k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))=np__1). fof(rqRealAdd__k2_xcmplx_0__rn3d2_rnm3d2_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(np__3, np__2), k7_xcmplx_0(k4_xcmplx_0(np__3), np__2))=np__0). fof(rqRealAdd__k2_xcmplx_0__rnm1d2_r1_rn1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), np__1)=k7_xcmplx_0(np__1, np__2)). fof(rqRealAdd__k2_xcmplx_0__rnm1d2_r2_rn3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), np__2)=k7_xcmplx_0(np__3, np__2)). fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rm1_rnm3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), k4_xcmplx_0(np__1))=k7_xcmplx_0(k4_xcmplx_0(np__3), np__2)). fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d2_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), k7_xcmplx_0(np__1, np__2))=np__0). fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rn3d2_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), k7_xcmplx_0(np__3, np__2))=np__1). fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d2_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))=k4_xcmplx_0(np__1)). fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rnm3d2_rm2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), k7_xcmplx_0(k4_xcmplx_0(np__3), np__2))=k4_xcmplx_0(np__2)). fof(rqRealAdd__k2_xcmplx_0__rnm1d3_r1_rn2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__3), np__1)=k7_xcmplx_0(np__2, np__3)). fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rn1d3_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__3), k7_xcmplx_0(np__1, np__3))=np__0). fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rn2d3_rn1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__3), k7_xcmplx_0(np__2, np__3))=k7_xcmplx_0(np__1, np__3)). fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rnm1d3_rnm2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__3), k7_xcmplx_0(k4_xcmplx_0(np__1), np__3))=k7_xcmplx_0(k4_xcmplx_0(np__2), np__3)). fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rnm2d3_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__3), k7_xcmplx_0(k4_xcmplx_0(np__2), np__3))=k4_xcmplx_0(np__1)). fof(rqRealAdd__k2_xcmplx_0__rnm2d3_r1_rn1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__2), np__3), np__1)=k7_xcmplx_0(np__1, np__3)). fof(rqRealAdd__k2_xcmplx_0__rnm2d3_rn2d3_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__2), np__3), k7_xcmplx_0(np__2, np__3))=np__0). fof(rqRealAdd__k2_xcmplx_0__rnm2d3_rnm1d3_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__2), np__3), k7_xcmplx_0(k4_xcmplx_0(np__1), np__3))=k4_xcmplx_0(np__1)). fof(rqRealAdd__k2_xcmplx_0__rnm3d2_r1_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__3), np__2), np__1)=k7_xcmplx_0(k4_xcmplx_0(np__1), np__2)). fof(rqRealAdd__k2_xcmplx_0__rnm3d2_r2_rn1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__3), np__2), np__2)=k7_xcmplx_0(np__1, np__2)). fof(rqRealAdd__k2_xcmplx_0__rnm3d2_rn1d2_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__3), np__2), k7_xcmplx_0(np__1, np__2))=k4_xcmplx_0(np__1)). fof(rqRealAdd__k2_xcmplx_0__rnm3d2_rn3d2_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__3), np__2), k7_xcmplx_0(np__3, np__2))=np__0). fof(rqRealAdd__k2_xcmplx_0__rnm3d2_rnm3d2_rm3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__3), np__2), k7_xcmplx_0(k4_xcmplx_0(np__3), np__2))=k4_xcmplx_0(np__3)). fof(rqRealDiff__k6_xcmplx_0__r0_r0_r0, axiom, k6_xcmplx_0(np__0, np__0)=np__0). fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(np__0, np__1)=k4_xcmplx_0(np__1)). fof(rqRealDiff__k6_xcmplx_0__r0_r2_rm2, axiom, k6_xcmplx_0(np__0, np__2)=k4_xcmplx_0(np__2)). fof(rqRealDiff__k6_xcmplx_0__r0_r3_rm3, axiom, k6_xcmplx_0(np__0, np__3)=k4_xcmplx_0(np__3)). fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(np__0, k4_xcmplx_0(np__1))=np__1). fof(rqRealDiff__k6_xcmplx_0__r0_rm2_r2, axiom, k6_xcmplx_0(np__0, k4_xcmplx_0(np__2))=np__2). fof(rqRealDiff__k6_xcmplx_0__r0_rm3_r3, axiom, k6_xcmplx_0(np__0, k4_xcmplx_0(np__3))=np__3). fof(rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2, axiom, k6_xcmplx_0(np__0, k7_xcmplx_0(np__1, np__2))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__2)). fof(rqRealDiff__k6_xcmplx_0__r0_rn1d3_rnm1d3, axiom, k6_xcmplx_0(np__0, k7_xcmplx_0(np__1, np__3))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__3)). fof(rqRealDiff__k6_xcmplx_0__r0_rn2d3_rnm2d3, axiom, k6_xcmplx_0(np__0, k7_xcmplx_0(np__2, np__3))=k7_xcmplx_0(k4_xcmplx_0(np__2), np__3)). fof(rqRealDiff__k6_xcmplx_0__r0_rn3d2_rnm3d2, axiom, k6_xcmplx_0(np__0, k7_xcmplx_0(np__3, np__2))=k7_xcmplx_0(k4_xcmplx_0(np__3), np__2)). fof(rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2, axiom, k6_xcmplx_0(np__0, k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))=k7_xcmplx_0(np__1, np__2)). fof(rqRealDiff__k6_xcmplx_0__r0_rnm3d2_rn3d2, axiom, k6_xcmplx_0(np__0, k7_xcmplx_0(k4_xcmplx_0(np__3), np__2))=k7_xcmplx_0(np__3, np__2)). fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(np__1, np__0)=np__1). fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(np__1, np__1)=np__0). fof(rqRealDiff__k6_xcmplx_0__r1_r2_rm1, axiom, k6_xcmplx_0(np__1, np__2)=k4_xcmplx_0(np__1)). fof(rqRealDiff__k6_xcmplx_0__r1_r3_rm2, axiom, k6_xcmplx_0(np__1, np__3)=k4_xcmplx_0(np__2)). fof(rqRealDiff__k6_xcmplx_0__r1_rm1_r2, axiom, k6_xcmplx_0(np__1, k4_xcmplx_0(np__1))=np__2). fof(rqRealDiff__k6_xcmplx_0__r1_rm2_r3, axiom, k6_xcmplx_0(np__1, k4_xcmplx_0(np__2))=np__3). fof(rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2, axiom, k6_xcmplx_0(np__1, k7_xcmplx_0(np__1, np__2))=k7_xcmplx_0(np__1, np__2)). fof(rqRealDiff__k6_xcmplx_0__r1_rn1d3_rn2d3, axiom, k6_xcmplx_0(np__1, k7_xcmplx_0(np__1, np__3))=k7_xcmplx_0(np__2, np__3)). fof(rqRealDiff__k6_xcmplx_0__r1_rn2d3_rn1d3, axiom, k6_xcmplx_0(np__1, k7_xcmplx_0(np__2, np__3))=k7_xcmplx_0(np__1, np__3)). fof(rqRealDiff__k6_xcmplx_0__r1_rn3d2_rnm1d2, axiom, k6_xcmplx_0(np__1, k7_xcmplx_0(np__3, np__2))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__2)). fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d2_rn3d2, axiom, k6_xcmplx_0(np__1, k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))=k7_xcmplx_0(np__3, np__2)). fof(rqRealDiff__k6_xcmplx_0__r2_r0_r2, axiom, k6_xcmplx_0(np__2, np__0)=np__2). fof(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom, k6_xcmplx_0(np__2, np__1)=np__1). fof(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom, k6_xcmplx_0(np__2, np__2)=np__0). fof(rqRealDiff__k6_xcmplx_0__r2_r3_rm1, axiom, k6_xcmplx_0(np__2, np__3)=k4_xcmplx_0(np__1)). fof(rqRealDiff__k6_xcmplx_0__r2_rm1_r3, axiom, k6_xcmplx_0(np__2, k4_xcmplx_0(np__1))=np__3). fof(rqRealDiff__k6_xcmplx_0__r2_rn1d2_rn3d2, axiom, k6_xcmplx_0(np__2, k7_xcmplx_0(np__1, np__2))=k7_xcmplx_0(np__3, np__2)). fof(rqRealDiff__k6_xcmplx_0__r2_rn3d2_rn1d2, axiom, k6_xcmplx_0(np__2, k7_xcmplx_0(np__3, np__2))=k7_xcmplx_0(np__1, np__2)). fof(rqRealDiff__k6_xcmplx_0__r3_r0_r3, axiom, k6_xcmplx_0(np__3, np__0)=np__3). fof(rqRealDiff__k6_xcmplx_0__r3_r1_r2, axiom, k6_xcmplx_0(np__3, np__1)=np__2). fof(rqRealDiff__k6_xcmplx_0__r3_r2_r1, axiom, k6_xcmplx_0(np__3, np__2)=np__1). fof(rqRealDiff__k6_xcmplx_0__r3_r3_r0, axiom, k6_xcmplx_0(np__3, np__3)=np__0). fof(rqRealDiff__k6_xcmplx_0__r3_rn3d2_rn3d2, axiom, k6_xcmplx_0(np__3, k7_xcmplx_0(np__3, np__2))=k7_xcmplx_0(np__3, np__2)). fof(rqRealDiff__k6_xcmplx_0__rm1_r0_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(np__1), np__0)=k4_xcmplx_0(np__1)). fof(rqRealDiff__k6_xcmplx_0__rm1_r1_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(np__1), np__1)=k4_xcmplx_0(np__2)). fof(rqRealDiff__k6_xcmplx_0__rm1_r2_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(np__1), np__2)=k4_xcmplx_0(np__3)). fof(rqRealDiff__k6_xcmplx_0__rm1_rm1_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(np__1), k4_xcmplx_0(np__1))=np__0). fof(rqRealDiff__k6_xcmplx_0__rm1_rm2_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(np__1), k4_xcmplx_0(np__2))=np__1). fof(rqRealDiff__k6_xcmplx_0__rm1_rm3_r2, axiom, k6_xcmplx_0(k4_xcmplx_0(np__1), k4_xcmplx_0(np__3))=np__2). fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d2_rnm3d2, axiom, k6_xcmplx_0(k4_xcmplx_0(np__1), k7_xcmplx_0(np__1, np__2))=k7_xcmplx_0(k4_xcmplx_0(np__3), np__2)). fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2, axiom, k6_xcmplx_0(k4_xcmplx_0(np__1), k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__2)). fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d3_rnm2d3, axiom, k6_xcmplx_0(k4_xcmplx_0(np__1), k7_xcmplx_0(k4_xcmplx_0(np__1), np__3))=k7_xcmplx_0(k4_xcmplx_0(np__2), np__3)). fof(rqRealDiff__k6_xcmplx_0__rm1_rnm2d3_rnm1d3, axiom, k6_xcmplx_0(k4_xcmplx_0(np__1), k7_xcmplx_0(k4_xcmplx_0(np__2), np__3))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__3)). fof(rqRealDiff__k6_xcmplx_0__rm1_rnm3d2_rn1d2, axiom, k6_xcmplx_0(k4_xcmplx_0(np__1), k7_xcmplx_0(k4_xcmplx_0(np__3), np__2))=k7_xcmplx_0(np__1, np__2)). fof(rqRealDiff__k6_xcmplx_0__rm2_r0_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(np__2), np__0)=k4_xcmplx_0(np__2)). fof(rqRealDiff__k6_xcmplx_0__rm2_r1_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(np__2), np__1)=k4_xcmplx_0(np__3)). fof(rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(np__2), k4_xcmplx_0(np__1))=k4_xcmplx_0(np__1)). fof(rqRealDiff__k6_xcmplx_0__rm2_rm2_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(np__2), k4_xcmplx_0(np__2))=np__0). fof(rqRealDiff__k6_xcmplx_0__rm2_rm3_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(np__2), k4_xcmplx_0(np__3))=np__1). fof(rqRealDiff__k6_xcmplx_0__rm2_rnm1d2_rnm3d2, axiom, k6_xcmplx_0(k4_xcmplx_0(np__2), k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))=k7_xcmplx_0(k4_xcmplx_0(np__3), np__2)). fof(rqRealDiff__k6_xcmplx_0__rm2_rnm3d2_rnm1d2, axiom, k6_xcmplx_0(k4_xcmplx_0(np__2), k7_xcmplx_0(k4_xcmplx_0(np__3), np__2))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__2)). fof(rqRealDiff__k6_xcmplx_0__rm3_r0_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(np__3), np__0)=k4_xcmplx_0(np__3)). fof(rqRealDiff__k6_xcmplx_0__rm3_rm1_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(np__3), k4_xcmplx_0(np__1))=k4_xcmplx_0(np__2)). fof(rqRealDiff__k6_xcmplx_0__rm3_rm2_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(np__3), k4_xcmplx_0(np__2))=k4_xcmplx_0(np__1)). fof(rqRealDiff__k6_xcmplx_0__rm3_rm3_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(np__3), k4_xcmplx_0(np__3))=np__0). fof(rqRealDiff__k6_xcmplx_0__rm3_rnm3d2_rnm3d2, axiom, k6_xcmplx_0(k4_xcmplx_0(np__3), k7_xcmplx_0(k4_xcmplx_0(np__3), np__2))=k7_xcmplx_0(k4_xcmplx_0(np__3), np__2)). fof(rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(np__1, np__2), np__0)=k7_xcmplx_0(np__1, np__2)). fof(rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(np__1, np__2), np__1)=k7_xcmplx_0(k4_xcmplx_0(np__1), np__2)). fof(rqRealDiff__k6_xcmplx_0__rn1d2_r2_rnm3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(np__1, np__2), np__2)=k7_xcmplx_0(k4_xcmplx_0(np__3), np__2)). fof(rqRealDiff__k6_xcmplx_0__rn1d2_rm1_rn3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(np__1, np__2), k4_xcmplx_0(np__1))=k7_xcmplx_0(np__3, np__2)). fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(np__1, np__2), k7_xcmplx_0(np__1, np__2))=np__0). fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn3d2_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(np__1, np__2), k7_xcmplx_0(np__3, np__2))=k4_xcmplx_0(np__1)). fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(np__1, np__2), k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))=np__1). fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm3d2_r2, axiom, k6_xcmplx_0(k7_xcmplx_0(np__1, np__2), k7_xcmplx_0(k4_xcmplx_0(np__3), np__2))=np__2). fof(rqRealDiff__k6_xcmplx_0__rn1d3_r0_rn1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(np__1, np__3), np__0)=k7_xcmplx_0(np__1, np__3)). fof(rqRealDiff__k6_xcmplx_0__rn1d3_r1_rnm2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(np__1, np__3), np__1)=k7_xcmplx_0(k4_xcmplx_0(np__2), np__3)). fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn1d3_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(np__1, np__3), k7_xcmplx_0(np__1, np__3))=np__0). fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn2d3_rnm1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(np__1, np__3), k7_xcmplx_0(np__2, np__3))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__3)). fof(rqRealDiff__k6_xcmplx_0__rn1d3_rnm1d3_rn2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(np__1, np__3), k7_xcmplx_0(k4_xcmplx_0(np__1), np__3))=k7_xcmplx_0(np__2, np__3)). fof(rqRealDiff__k6_xcmplx_0__rn1d3_rnm2d3_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(np__1, np__3), k7_xcmplx_0(k4_xcmplx_0(np__2), np__3))=np__1). fof(rqRealDiff__k6_xcmplx_0__rn2d3_r0_rn2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(np__2, np__3), np__0)=k7_xcmplx_0(np__2, np__3)). fof(rqRealDiff__k6_xcmplx_0__rn2d3_r1_rnm1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(np__2, np__3), np__1)=k7_xcmplx_0(k4_xcmplx_0(np__1), np__3)). fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn1d3_rn1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(np__2, np__3), k7_xcmplx_0(np__1, np__3))=k7_xcmplx_0(np__1, np__3)). fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn2d3_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(np__2, np__3), k7_xcmplx_0(np__2, np__3))=np__0). fof(rqRealDiff__k6_xcmplx_0__rn2d3_rnm1d3_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(np__2, np__3), k7_xcmplx_0(k4_xcmplx_0(np__1), np__3))=np__1). fof(rqRealDiff__k6_xcmplx_0__rn3d2_r0_rn3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(np__3, np__2), np__0)=k7_xcmplx_0(np__3, np__2)). fof(rqRealDiff__k6_xcmplx_0__rn3d2_r1_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(np__3, np__2), np__1)=k7_xcmplx_0(np__1, np__2)). fof(rqRealDiff__k6_xcmplx_0__rn3d2_r2_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(np__3, np__2), np__2)=k7_xcmplx_0(k4_xcmplx_0(np__1), np__2)). fof(rqRealDiff__k6_xcmplx_0__rn3d2_r3_rnm3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(np__3, np__2), np__3)=k7_xcmplx_0(k4_xcmplx_0(np__3), np__2)). fof(rqRealDiff__k6_xcmplx_0__rn3d2_rn1d2_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(np__3, np__2), k7_xcmplx_0(np__1, np__2))=np__1). fof(rqRealDiff__k6_xcmplx_0__rn3d2_rn3d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(np__3, np__2), k7_xcmplx_0(np__3, np__2))=np__0). fof(rqRealDiff__k6_xcmplx_0__rn3d2_rnm1d2_r2, axiom, k6_xcmplx_0(k7_xcmplx_0(np__3, np__2), k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))=np__2). fof(rqRealDiff__k6_xcmplx_0__rn3d2_rnm3d2_r3, axiom, k6_xcmplx_0(k7_xcmplx_0(np__3, np__2), k7_xcmplx_0(k4_xcmplx_0(np__3), np__2))=np__3). fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), np__0)=k7_xcmplx_0(k4_xcmplx_0(np__1), np__2)). fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r1_rnm3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), np__1)=k7_xcmplx_0(k4_xcmplx_0(np__3), np__2)). fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), k4_xcmplx_0(np__1))=k7_xcmplx_0(np__1, np__2)). fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rm2_rn3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), k4_xcmplx_0(np__2))=k7_xcmplx_0(np__3, np__2)). fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), k7_xcmplx_0(np__1, np__2))=k4_xcmplx_0(np__1)). fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn3d2_rm2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), k7_xcmplx_0(np__3, np__2))=k4_xcmplx_0(np__2)). fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))=np__0). fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d2_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), k7_xcmplx_0(k4_xcmplx_0(np__3), np__2))=np__1). fof(rqRealDiff__k6_xcmplx_0__rnm1d3_r0_rnm1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__3), np__0)=k7_xcmplx_0(k4_xcmplx_0(np__1), np__3)). fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rm1_rn2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__3), k4_xcmplx_0(np__1))=k7_xcmplx_0(np__2, np__3)). fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rn1d3_rnm2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__3), k7_xcmplx_0(np__1, np__3))=k7_xcmplx_0(k4_xcmplx_0(np__2), np__3)). fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rn2d3_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__3), k7_xcmplx_0(np__2, np__3))=k4_xcmplx_0(np__1)). fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm1d3_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__3), k7_xcmplx_0(k4_xcmplx_0(np__1), np__3))=np__0). fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm2d3_rn1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__3), k7_xcmplx_0(k4_xcmplx_0(np__2), np__3))=k7_xcmplx_0(np__1, np__3)). fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rm1_rn1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__2), np__3), k4_xcmplx_0(np__1))=k7_xcmplx_0(np__1, np__3)). fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rn1d3_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__2), np__3), k7_xcmplx_0(np__1, np__3))=k4_xcmplx_0(np__1)). fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm1d3_rnm1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__2), np__3), k7_xcmplx_0(k4_xcmplx_0(np__1), np__3))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__3)). fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm2d3_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__2), np__3), k7_xcmplx_0(k4_xcmplx_0(np__2), np__3))=np__0). fof(rqRealDiff__k6_xcmplx_0__rnm3d2_r0_rnm3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__3), np__2), np__0)=k7_xcmplx_0(k4_xcmplx_0(np__3), np__2)). fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rm1_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__3), np__2), k4_xcmplx_0(np__1))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__2)). fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rm2_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__3), np__2), k4_xcmplx_0(np__2))=k7_xcmplx_0(np__1, np__2)). fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rm3_rn3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__3), np__2), k4_xcmplx_0(np__3))=k7_xcmplx_0(np__3, np__2)). fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rn1d2_rm2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__3), np__2), k7_xcmplx_0(np__1, np__2))=k4_xcmplx_0(np__2)). fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rn3d2_rm3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__3), np__2), k7_xcmplx_0(np__3, np__2))=k4_xcmplx_0(np__3)). fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm1d2_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__3), np__2), k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))=k4_xcmplx_0(np__1)). fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm3d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__3), np__2), k7_xcmplx_0(k4_xcmplx_0(np__3), np__2))=np__0). fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(np__1, np__1)=np__1). fof(rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2, axiom, k7_xcmplx_0(np__1, np__2)=k7_xcmplx_0(np__1, np__2)). fof(rqRealDiv__k7_xcmplx_0__r1_r3_rn1d3, axiom, k7_xcmplx_0(np__1, np__3)=k7_xcmplx_0(np__1, np__3)). fof(rqRealDiv__k7_xcmplx_0__r1_rm1_rm1, axiom, k7_xcmplx_0(np__1, k4_xcmplx_0(np__1))=k4_xcmplx_0(np__1)). fof(rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2, axiom, k7_xcmplx_0(np__1, k4_xcmplx_0(np__2))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__2)). fof(rqRealDiv__k7_xcmplx_0__r1_rm3_rnm1d3, axiom, k7_xcmplx_0(np__1, k4_xcmplx_0(np__3))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__3)). fof(rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2, axiom, k7_xcmplx_0(np__1, k7_xcmplx_0(np__1, np__2))=np__2). fof(rqRealDiv__k7_xcmplx_0__r1_rn1d3_r3, axiom, k7_xcmplx_0(np__1, k7_xcmplx_0(np__1, np__3))=np__3). fof(rqRealDiv__k7_xcmplx_0__r1_rn2d3_rn3d2, axiom, k7_xcmplx_0(np__1, k7_xcmplx_0(np__2, np__3))=k7_xcmplx_0(np__3, np__2)). fof(rqRealDiv__k7_xcmplx_0__r1_rn3d2_rn2d3, axiom, k7_xcmplx_0(np__1, k7_xcmplx_0(np__3, np__2))=k7_xcmplx_0(np__2, np__3)). fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2, axiom, k7_xcmplx_0(np__1, k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))=k4_xcmplx_0(np__2)). fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d3_rm3, axiom, k7_xcmplx_0(np__1, k7_xcmplx_0(k4_xcmplx_0(np__1), np__3))=k4_xcmplx_0(np__3)). fof(rqRealDiv__k7_xcmplx_0__r1_rnm3d2_rnm2d3, axiom, k7_xcmplx_0(np__1, k7_xcmplx_0(k4_xcmplx_0(np__3), np__2))=k7_xcmplx_0(k4_xcmplx_0(np__2), np__3)). fof(rqRealDiv__k7_xcmplx_0__r2_r1_r2, axiom, k7_xcmplx_0(np__2, np__1)=np__2). fof(rqRealDiv__k7_xcmplx_0__r2_r2_r1, axiom, k7_xcmplx_0(np__2, np__2)=np__1). fof(rqRealDiv__k7_xcmplx_0__r2_r3_rn2d3, axiom, k7_xcmplx_0(np__2, np__3)=k7_xcmplx_0(np__2, np__3)). fof(rqRealDiv__k7_xcmplx_0__r3_r2_rn3d2, axiom, k7_xcmplx_0(np__3, np__2)=k7_xcmplx_0(np__3, np__2)). fof(rqRealDiv__k7_xcmplx_0__r3_r3_r1, axiom, k7_xcmplx_0(np__3, np__3)=np__1). fof(rqRealDiv__k7_xcmplx_0__rm1_r1_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(np__1), np__1)=k4_xcmplx_0(np__1)). fof(rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2, axiom, k7_xcmplx_0(k4_xcmplx_0(np__1), np__2)=k7_xcmplx_0(k4_xcmplx_0(np__1), np__2)). fof(rqRealDiv__k7_xcmplx_0__rm2_r2_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(np__2), np__2)=k4_xcmplx_0(np__1)). fof(rqRealMult__k3_xcmplx_0__r0_r0_r0, axiom, k3_xcmplx_0(np__0, np__0)=np__0). fof(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom, k3_xcmplx_0(np__0, np__1)=np__0). fof(rqRealMult__k3_xcmplx_0__r0_r2_r0, axiom, k3_xcmplx_0(np__0, np__2)=np__0). fof(rqRealMult__k3_xcmplx_0__r0_r3_r0, axiom, k3_xcmplx_0(np__0, np__3)=np__0). fof(rqRealMult__k3_xcmplx_0__r0_rm2_r0, axiom, k3_xcmplx_0(np__0, k4_xcmplx_0(np__2))=np__0). fof(rqRealMult__k3_xcmplx_0__r0_rm3_r0, axiom, k3_xcmplx_0(np__0, k4_xcmplx_0(np__3))=np__0). fof(rqRealMult__k3_xcmplx_0__r0_rn1d2_r0, axiom, k3_xcmplx_0(np__0, k7_xcmplx_0(np__1, np__2))=np__0). fof(rqRealMult__k3_xcmplx_0__r0_rn1d3_r0, axiom, k3_xcmplx_0(np__0, k7_xcmplx_0(np__1, np__3))=np__0). fof(rqRealMult__k3_xcmplx_0__r0_rn2d3_r0, axiom, k3_xcmplx_0(np__0, k7_xcmplx_0(np__2, np__3))=np__0). fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(np__1, np__0)=np__0). fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(np__1, np__1)=np__1). fof(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, k3_xcmplx_0(np__1, np__2)=np__2). fof(rqRealMult__k3_xcmplx_0__r1_r3_r3, axiom, k3_xcmplx_0(np__1, np__3)=np__3). fof(rqRealMult__k3_xcmplx_0__r1_rm2_rm2, axiom, k3_xcmplx_0(np__1, k4_xcmplx_0(np__2))=k4_xcmplx_0(np__2)). fof(rqRealMult__k3_xcmplx_0__r1_rm3_rm3, axiom, k3_xcmplx_0(np__1, k4_xcmplx_0(np__3))=k4_xcmplx_0(np__3)). fof(rqRealMult__k3_xcmplx_0__r1_rn1d2_rn1d2, axiom, k3_xcmplx_0(np__1, k7_xcmplx_0(np__1, np__2))=k7_xcmplx_0(np__1, np__2)). fof(rqRealMult__k3_xcmplx_0__r1_rn1d3_rn1d3, axiom, k3_xcmplx_0(np__1, k7_xcmplx_0(np__1, np__3))=k7_xcmplx_0(np__1, np__3)). fof(rqRealMult__k3_xcmplx_0__r1_rn2d3_rn2d3, axiom, k3_xcmplx_0(np__1, k7_xcmplx_0(np__2, np__3))=k7_xcmplx_0(np__2, np__3)). fof(rqRealMult__k3_xcmplx_0__r1_rn3d2_rn3d2, axiom, k3_xcmplx_0(np__1, k7_xcmplx_0(np__3, np__2))=k7_xcmplx_0(np__3, np__2)). fof(rqRealMult__k3_xcmplx_0__r1_rnm1d2_rnm1d2, axiom, k3_xcmplx_0(np__1, k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__2)). fof(rqRealMult__k3_xcmplx_0__r1_rnm1d3_rnm1d3, axiom, k3_xcmplx_0(np__1, k7_xcmplx_0(k4_xcmplx_0(np__1), np__3))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__3)). fof(rqRealMult__k3_xcmplx_0__r1_rnm2d3_rnm2d3, axiom, k3_xcmplx_0(np__1, k7_xcmplx_0(k4_xcmplx_0(np__2), np__3))=k7_xcmplx_0(k4_xcmplx_0(np__2), np__3)). fof(rqRealMult__k3_xcmplx_0__r1_rnm3d2_rnm3d2, axiom, k3_xcmplx_0(np__1, k7_xcmplx_0(k4_xcmplx_0(np__3), np__2))=k7_xcmplx_0(k4_xcmplx_0(np__3), np__2)). fof(rqRealMult__k3_xcmplx_0__r2_r0_r0, axiom, k3_xcmplx_0(np__2, np__0)=np__0). fof(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom, k3_xcmplx_0(np__2, np__1)=np__2). fof(rqRealMult__k3_xcmplx_0__r2_rn1d2_r1, axiom, k3_xcmplx_0(np__2, k7_xcmplx_0(np__1, np__2))=np__1). fof(rqRealMult__k3_xcmplx_0__r2_rn1d3_rn2d3, axiom, k3_xcmplx_0(np__2, k7_xcmplx_0(np__1, np__3))=k7_xcmplx_0(np__2, np__3)). fof(rqRealMult__k3_xcmplx_0__r2_rn3d2_r3, axiom, k3_xcmplx_0(np__2, k7_xcmplx_0(np__3, np__2))=np__3). fof(rqRealMult__k3_xcmplx_0__r2_rnm1d2_rm1, axiom, k3_xcmplx_0(np__2, k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))=k4_xcmplx_0(np__1)). fof(rqRealMult__k3_xcmplx_0__r2_rnm1d3_rnm2d3, axiom, k3_xcmplx_0(np__2, k7_xcmplx_0(k4_xcmplx_0(np__1), np__3))=k7_xcmplx_0(k4_xcmplx_0(np__2), np__3)). fof(rqRealMult__k3_xcmplx_0__r2_rnm3d2_rm3, axiom, k3_xcmplx_0(np__2, k7_xcmplx_0(k4_xcmplx_0(np__3), np__2))=k4_xcmplx_0(np__3)). fof(rqRealMult__k3_xcmplx_0__r3_r0_r0, axiom, k3_xcmplx_0(np__3, np__0)=np__0). fof(rqRealMult__k3_xcmplx_0__r3_r1_r3, axiom, k3_xcmplx_0(np__3, np__1)=np__3). fof(rqRealMult__k3_xcmplx_0__r3_rn1d2_rn3d2, axiom, k3_xcmplx_0(np__3, k7_xcmplx_0(np__1, np__2))=k7_xcmplx_0(np__3, np__2)). fof(rqRealMult__k3_xcmplx_0__r3_rn1d3_r1, axiom, k3_xcmplx_0(np__3, k7_xcmplx_0(np__1, np__3))=np__1). fof(rqRealMult__k3_xcmplx_0__r3_rn2d3_r2, axiom, k3_xcmplx_0(np__3, k7_xcmplx_0(np__2, np__3))=np__2). fof(rqRealMult__k3_xcmplx_0__r3_rnm1d2_rnm3d2, axiom, k3_xcmplx_0(np__3, k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))=k7_xcmplx_0(k4_xcmplx_0(np__3), np__2)). fof(rqRealMult__k3_xcmplx_0__r3_rnm1d3_rm1, axiom, k3_xcmplx_0(np__3, k7_xcmplx_0(k4_xcmplx_0(np__1), np__3))=k4_xcmplx_0(np__1)). fof(rqRealMult__k3_xcmplx_0__r3_rnm2d3_rm2, axiom, k3_xcmplx_0(np__3, k7_xcmplx_0(k4_xcmplx_0(np__2), np__3))=k4_xcmplx_0(np__2)). fof(rqRealMult__k3_xcmplx_0__rm2_r0_r0, axiom, k3_xcmplx_0(k4_xcmplx_0(np__2), np__0)=np__0). fof(rqRealMult__k3_xcmplx_0__rm2_r1_rm2, axiom, k3_xcmplx_0(k4_xcmplx_0(np__2), np__1)=k4_xcmplx_0(np__2)). fof(rqRealMult__k3_xcmplx_0__rm2_rn1d2_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(np__2), k7_xcmplx_0(np__1, np__2))=k4_xcmplx_0(np__1)). fof(rqRealMult__k3_xcmplx_0__rm2_rn1d3_rnm2d3, axiom, k3_xcmplx_0(k4_xcmplx_0(np__2), k7_xcmplx_0(np__1, np__3))=k7_xcmplx_0(k4_xcmplx_0(np__2), np__3)). fof(rqRealMult__k3_xcmplx_0__rm2_rn3d2_rm3, axiom, k3_xcmplx_0(k4_xcmplx_0(np__2), k7_xcmplx_0(np__3, np__2))=k4_xcmplx_0(np__3)). fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d2_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(np__2), k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))=np__1). fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d3_rn2d3, axiom, k3_xcmplx_0(k4_xcmplx_0(np__2), k7_xcmplx_0(k4_xcmplx_0(np__1), np__3))=k7_xcmplx_0(np__2, np__3)). fof(rqRealMult__k3_xcmplx_0__rm2_rnm3d2_r3, axiom, k3_xcmplx_0(k4_xcmplx_0(np__2), k7_xcmplx_0(k4_xcmplx_0(np__3), np__2))=np__3). fof(rqRealMult__k3_xcmplx_0__rm3_r0_r0, axiom, k3_xcmplx_0(k4_xcmplx_0(np__3), np__0)=np__0). fof(rqRealMult__k3_xcmplx_0__rm3_r1_rm3, axiom, k3_xcmplx_0(k4_xcmplx_0(np__3), np__1)=k4_xcmplx_0(np__3)). fof(rqRealMult__k3_xcmplx_0__rm3_rn1d2_rnm3d2, axiom, k3_xcmplx_0(k4_xcmplx_0(np__3), k7_xcmplx_0(np__1, np__2))=k7_xcmplx_0(k4_xcmplx_0(np__3), np__2)). fof(rqRealMult__k3_xcmplx_0__rm3_rn1d3_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(np__3), k7_xcmplx_0(np__1, np__3))=k4_xcmplx_0(np__1)). fof(rqRealMult__k3_xcmplx_0__rm3_rn2d3_rm2, axiom, k3_xcmplx_0(k4_xcmplx_0(np__3), k7_xcmplx_0(np__2, np__3))=k4_xcmplx_0(np__2)). fof(rqRealMult__k3_xcmplx_0__rm3_rnm1d2_rn3d2, axiom, k3_xcmplx_0(k4_xcmplx_0(np__3), k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))=k7_xcmplx_0(np__3, np__2)). fof(rqRealMult__k3_xcmplx_0__rm3_rnm1d3_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(np__3), k7_xcmplx_0(k4_xcmplx_0(np__1), np__3))=np__1). fof(rqRealMult__k3_xcmplx_0__rm3_rnm2d3_r2, axiom, k3_xcmplx_0(k4_xcmplx_0(np__3), k7_xcmplx_0(k4_xcmplx_0(np__2), np__3))=np__2). fof(rqRealMult__k3_xcmplx_0__rn1d2_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(np__1, np__2), np__0)=np__0). fof(rqRealMult__k3_xcmplx_0__rn1d2_r1_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(np__1, np__2), np__1)=k7_xcmplx_0(np__1, np__2)). fof(rqRealMult__k3_xcmplx_0__rn1d2_r2_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(np__1, np__2), np__2)=np__1). fof(rqRealMult__k3_xcmplx_0__rn1d2_r3_rn3d2, axiom, k3_xcmplx_0(k7_xcmplx_0(np__1, np__2), np__3)=k7_xcmplx_0(np__3, np__2)). fof(rqRealMult__k3_xcmplx_0__rn1d2_rm2_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(np__1, np__2), k4_xcmplx_0(np__2))=k4_xcmplx_0(np__1)). fof(rqRealMult__k3_xcmplx_0__rn1d2_rm3_rnm3d2, axiom, k3_xcmplx_0(k7_xcmplx_0(np__1, np__2), k4_xcmplx_0(np__3))=k7_xcmplx_0(k4_xcmplx_0(np__3), np__2)). fof(rqRealMult__k3_xcmplx_0__rn1d2_rn2d3_rn1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(np__1, np__2), k7_xcmplx_0(np__2, np__3))=k7_xcmplx_0(np__1, np__3)). fof(rqRealMult__k3_xcmplx_0__rn1d2_rnm2d3_rnm1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(np__1, np__2), k7_xcmplx_0(k4_xcmplx_0(np__2), np__3))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__3)). fof(rqRealMult__k3_xcmplx_0__rn1d3_r1_rn1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(np__1, np__3), np__1)=k7_xcmplx_0(np__1, np__3)). fof(rqRealMult__k3_xcmplx_0__rn1d3_r2_rn2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(np__1, np__3), np__2)=k7_xcmplx_0(np__2, np__3)). fof(rqRealMult__k3_xcmplx_0__rn1d3_r3_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(np__1, np__3), np__3)=np__1). fof(rqRealMult__k3_xcmplx_0__rn1d3_rm2_rnm2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(np__1, np__3), k4_xcmplx_0(np__2))=k7_xcmplx_0(k4_xcmplx_0(np__2), np__3)). fof(rqRealMult__k3_xcmplx_0__rn1d3_rm3_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(np__1, np__3), k4_xcmplx_0(np__3))=k4_xcmplx_0(np__1)). fof(rqRealMult__k3_xcmplx_0__rn1d3_rn3d2_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(np__1, np__3), k7_xcmplx_0(np__3, np__2))=k7_xcmplx_0(np__1, np__2)). fof(rqRealMult__k3_xcmplx_0__rn1d3_rnm3d2_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(np__1, np__3), k7_xcmplx_0(k4_xcmplx_0(np__3), np__2))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__2)). fof(rqRealMult__k3_xcmplx_0__rn2d3_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(np__2, np__3), np__0)=np__0). fof(rqRealMult__k3_xcmplx_0__rn2d3_r1_rn2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(np__2, np__3), np__1)=k7_xcmplx_0(np__2, np__3)). fof(rqRealMult__k3_xcmplx_0__rn2d3_r3_r2, axiom, k3_xcmplx_0(k7_xcmplx_0(np__2, np__3), np__3)=np__2). fof(rqRealMult__k3_xcmplx_0__rn2d3_rm3_rm2, axiom, k3_xcmplx_0(k7_xcmplx_0(np__2, np__3), k4_xcmplx_0(np__3))=k4_xcmplx_0(np__2)). fof(rqRealMult__k3_xcmplx_0__rn2d3_rn1d2_rn1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(np__2, np__3), k7_xcmplx_0(np__1, np__2))=k7_xcmplx_0(np__1, np__3)). fof(rqRealMult__k3_xcmplx_0__rn2d3_rn3d2_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(np__2, np__3), k7_xcmplx_0(np__3, np__2))=np__1). fof(rqRealMult__k3_xcmplx_0__rn2d3_rnm1d2_rnm1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(np__2, np__3), k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__3)). fof(rqRealMult__k3_xcmplx_0__rn2d3_rnm3d2_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(np__2, np__3), k7_xcmplx_0(k4_xcmplx_0(np__3), np__2))=k4_xcmplx_0(np__1)). fof(rqRealMult__k3_xcmplx_0__rn3d2_r1_rn3d2, axiom, k3_xcmplx_0(k7_xcmplx_0(np__3, np__2), np__1)=k7_xcmplx_0(np__3, np__2)). fof(rqRealMult__k3_xcmplx_0__rn3d2_r2_r3, axiom, k3_xcmplx_0(k7_xcmplx_0(np__3, np__2), np__2)=np__3). fof(rqRealMult__k3_xcmplx_0__rn3d2_rm2_rm3, axiom, k3_xcmplx_0(k7_xcmplx_0(np__3, np__2), k4_xcmplx_0(np__2))=k4_xcmplx_0(np__3)). fof(rqRealMult__k3_xcmplx_0__rn3d2_rn1d3_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(np__3, np__2), k7_xcmplx_0(np__1, np__3))=k7_xcmplx_0(np__1, np__2)). fof(rqRealMult__k3_xcmplx_0__rn3d2_rn2d3_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(np__3, np__2), k7_xcmplx_0(np__2, np__3))=np__1). fof(rqRealMult__k3_xcmplx_0__rn3d2_rnm1d3_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(np__3, np__2), k7_xcmplx_0(k4_xcmplx_0(np__1), np__3))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__2)). fof(rqRealMult__k3_xcmplx_0__rn3d2_rnm2d3_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(np__3, np__2), k7_xcmplx_0(k4_xcmplx_0(np__2), np__3))=k4_xcmplx_0(np__1)). fof(rqRealMult__k3_xcmplx_0__rnm1d2_r1_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), np__1)=k7_xcmplx_0(k4_xcmplx_0(np__1), np__2)). fof(rqRealMult__k3_xcmplx_0__rnm1d2_r2_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), np__2)=k4_xcmplx_0(np__1)). fof(rqRealMult__k3_xcmplx_0__rnm1d2_r3_rnm3d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), np__3)=k7_xcmplx_0(k4_xcmplx_0(np__3), np__2)). fof(rqRealMult__k3_xcmplx_0__rnm1d2_rm2_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), k4_xcmplx_0(np__2))=np__1). fof(rqRealMult__k3_xcmplx_0__rnm1d2_rm3_rn3d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), k4_xcmplx_0(np__3))=k7_xcmplx_0(np__3, np__2)). fof(rqRealMult__k3_xcmplx_0__rnm1d2_rn2d3_rnm1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2), k7_xcmplx_0(np__2, np__3))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__3)). fof(rqRealMult__k3_xcmplx_0__rnm1d3_r1_rnm1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__3), np__1)=k7_xcmplx_0(k4_xcmplx_0(np__1), np__3)). fof(rqRealMult__k3_xcmplx_0__rnm1d3_r2_rnm2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__3), np__2)=k7_xcmplx_0(k4_xcmplx_0(np__2), np__3)). fof(rqRealMult__k3_xcmplx_0__rnm1d3_r3_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__3), np__3)=k4_xcmplx_0(np__1)). fof(rqRealMult__k3_xcmplx_0__rnm1d3_rm2_rn2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__3), k4_xcmplx_0(np__2))=k7_xcmplx_0(np__2, np__3)). fof(rqRealMult__k3_xcmplx_0__rnm1d3_rm3_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__3), k4_xcmplx_0(np__3))=np__1). fof(rqRealMult__k3_xcmplx_0__rnm1d3_rn3d2_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__3), k7_xcmplx_0(np__3, np__2))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__2)). fof(rqRealMult__k3_xcmplx_0__rnm1d3_rnm3d2_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__3), k7_xcmplx_0(k4_xcmplx_0(np__3), np__2))=k7_xcmplx_0(np__1, np__2)). fof(rqRealMult__k3_xcmplx_0__rnm2d3_r1_rnm2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__2), np__3), np__1)=k7_xcmplx_0(k4_xcmplx_0(np__2), np__3)). fof(rqRealMult__k3_xcmplx_0__rnm2d3_r3_rm2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__2), np__3), np__3)=k4_xcmplx_0(np__2)). fof(rqRealMult__k3_xcmplx_0__rnm2d3_rm3_r2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__2), np__3), k4_xcmplx_0(np__3))=np__2). fof(rqRealMult__k3_xcmplx_0__rnm2d3_rn1d2_rnm1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__2), np__3), k7_xcmplx_0(np__1, np__2))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__3)). fof(rqRealMult__k3_xcmplx_0__rnm2d3_rn3d2_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__2), np__3), k7_xcmplx_0(np__3, np__2))=k4_xcmplx_0(np__1)). fof(rqRealMult__k3_xcmplx_0__rnm2d3_rnm1d2_rn1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__2), np__3), k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))=k7_xcmplx_0(np__1, np__3)). fof(rqRealMult__k3_xcmplx_0__rnm2d3_rnm3d2_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__2), np__3), k7_xcmplx_0(k4_xcmplx_0(np__3), np__2))=np__1). fof(rqRealMult__k3_xcmplx_0__rnm3d2_r1_rnm3d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__3), np__2), np__1)=k7_xcmplx_0(k4_xcmplx_0(np__3), np__2)). fof(rqRealMult__k3_xcmplx_0__rnm3d2_r2_rm3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__3), np__2), np__2)=k4_xcmplx_0(np__3)). fof(rqRealMult__k3_xcmplx_0__rnm3d2_rm2_r3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__3), np__2), k4_xcmplx_0(np__2))=np__3). fof(rqRealMult__k3_xcmplx_0__rnm3d2_rn1d3_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__3), np__2), k7_xcmplx_0(np__1, np__3))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__2)). fof(rqRealMult__k3_xcmplx_0__rnm3d2_rn2d3_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__3), np__2), k7_xcmplx_0(np__2, np__3))=k4_xcmplx_0(np__1)). fof(rqRealMult__k3_xcmplx_0__rnm3d2_rnm1d3_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__3), np__2), k7_xcmplx_0(k4_xcmplx_0(np__1), np__3))=k7_xcmplx_0(np__1, np__2)). fof(rqRealMult__k3_xcmplx_0__rnm3d2_rnm2d3_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__3), np__2), k7_xcmplx_0(k4_xcmplx_0(np__2), np__3))=np__1). fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(np__0)=np__0). fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(np__1)=k4_xcmplx_0(np__1)). fof(rqRealNeg__k4_xcmplx_0__r2_rm2, axiom, k4_xcmplx_0(np__2)=k4_xcmplx_0(np__2)). fof(rqRealNeg__k4_xcmplx_0__r3_rm3, axiom, k4_xcmplx_0(np__3)=k4_xcmplx_0(np__3)). fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(np__1))=np__1). fof(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom, k4_xcmplx_0(k4_xcmplx_0(np__2))=np__2). fof(rqRealNeg__k4_xcmplx_0__rm3_r3, axiom, k4_xcmplx_0(k4_xcmplx_0(np__3))=np__3). fof(rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2, axiom, k4_xcmplx_0(k7_xcmplx_0(np__1, np__2))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__2)). fof(rqRealNeg__k4_xcmplx_0__rn1d3_rnm1d3, axiom, k4_xcmplx_0(k7_xcmplx_0(np__1, np__3))=k7_xcmplx_0(k4_xcmplx_0(np__1), np__3)). fof(rqRealNeg__k4_xcmplx_0__rn2d3_rnm2d3, axiom, k4_xcmplx_0(k7_xcmplx_0(np__2, np__3))=k7_xcmplx_0(k4_xcmplx_0(np__2), np__3)). fof(rqRealNeg__k4_xcmplx_0__rn3d2_rnm3d2, axiom, k4_xcmplx_0(k7_xcmplx_0(np__3, np__2))=k7_xcmplx_0(k4_xcmplx_0(np__3), np__2)). fof(rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__2))=k7_xcmplx_0(np__1, np__2)). fof(rqRealNeg__k4_xcmplx_0__rnm1d3_rn1d3, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__1), np__3))=k7_xcmplx_0(np__1, np__3)). fof(rqRealNeg__k4_xcmplx_0__rnm2d3_rn2d3, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__2), np__3))=k7_xcmplx_0(np__2, np__3)). fof(rqRealNeg__k4_xcmplx_0__rnm3d2_rn3d2, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(np__3), np__2))=k7_xcmplx_0(np__3, np__2)). fof(spc0_boole, axiom, v1_xboole_0(np__0)). fof(spc0_numerals, axiom, (m2_subset_1(np__0, k1_numbers, k5_numbers) & (m1_subset_1(np__0, k5_numbers) & m1_subset_1(np__0, k1_numbers)) ) ). fof(spc1_arithm, axiom, (! [A, B] : k2_xcmplx_0(A, k4_xcmplx_0(B))=k6_xcmplx_0(A, B)) ). fof(spc1_boole, axiom, ~ (v1_xboole_0(np__1)) ). fof(spc1_numerals, axiom, ( (v2_xxreal_0(np__1) & m2_subset_1(np__1, k1_numbers, k5_numbers)) & (m1_subset_1(np__1, k5_numbers) & m1_subset_1(np__1, k1_numbers)) ) ). fof(spc2_arithm, axiom, (! [A] : k3_xcmplx_0(A, k4_xcmplx_0(np__1))=k4_xcmplx_0(A)) ). fof(spc2_boole, axiom, ~ (v1_xboole_0(np__2)) ). fof(spc2_numerals, axiom, ( (v2_xxreal_0(np__2) & m2_subset_1(np__2, k1_numbers, k5_numbers)) & (m1_subset_1(np__2, k5_numbers) & m1_subset_1(np__2, k1_numbers)) ) ). fof(spc3_boole, axiom, ~ (v1_xboole_0(np__3)) ). fof(spc3_numerals, axiom, ( (v2_xxreal_0(np__3) & m2_subset_1(np__3, k1_numbers, k5_numbers)) & (m1_subset_1(np__3, k5_numbers) & m1_subset_1(np__3, k1_numbers)) ) ). fof(spc4_arithm, axiom, (! [A, B, C] : k3_xcmplx_0(A, k7_xcmplx_0(B, C))=k7_xcmplx_0(k3_xcmplx_0(A, B), C)) ). fof(spc5_arithm, axiom, (! [A, B, 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] : 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] : k3_xcmplx_0(k3_xcmplx_0(A, B), C)=k3_xcmplx_0(A, k3_xcmplx_0(B, C))) ). fof(spc8_arithm, axiom, (! [A, B] : k2_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k4_xcmplx_0(k2_xcmplx_0(A, B))) ). fof(spc9_arithm, axiom, (! [A, B] : k6_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k6_xcmplx_0(B, A)) ). fof(symmetry_r2_relset_1, axiom, (! [A, B, C, D] : (r2_relset_1(A, B, C, D) => r2_relset_1(A, B, D, C)) ) ). fof(t1_arithm, axiom, (! [A] : k2_xcmplx_0(A, k6_numbers)=A) ). fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0, k4_ordinal1)). fof(t1_subset, axiom, (! [A] : (! [B] : (r2_hidden(A, B) => m1_subset_1(A, B)) ) ) ). fof(t21_seqfunc, axiom, (! [A] : (! [B] : (! [C] : (! [D] : (r2_seqfunc(A, B, C) => (r2_relset_1(A, k1_numbers, D, k11_seqfunc(A, B, C)) <=> (k1_relset_1(A, D)=C & (! [E] : (r2_hidden(E, C) => (! [F] : ~ ( ( ~ (r1_xxreal_0(F, k6_numbers)) & (! [G] : (? [H] : (r1_xxreal_0(G, H) & r1_xxreal_0(F, k18_complex1(k9_real_1(k1_seq_1(k1_seqfunc(A, k1_numbers, B, H), E), k1_seq_1(D, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ). fof(t222_xreal_1, axiom, (! [A] : ~ ( ( ~ (r1_xxreal_0(A, k6_numbers)) & r1_xxreal_0(k7_xcmplx_0(A, np__3), k6_numbers)) ) ) ). fof(t22_seqfunc, axiom, (! [A] : (! [B] : (! [C] : (r3_seqfunc(A, B, C) => r2_seqfunc(A, B, C)) ) ) ) ). fof(t25_xxreal_0, axiom, (! [A] : (! [B] : r1_xxreal_0(A, k4_xxreal_0(A, B))) ) ). fof(t28_xboole_1, axiom, (! [A] : (! [B] : (r1_tarski(A, B) => k3_xboole_0(A, B)=A) ) ) ). fof(t2_arithm, axiom, (! [A] : k3_xcmplx_0(A, k6_numbers)=k6_numbers) ). fof(t2_boole, axiom, (! [A] : k3_xboole_0(A, k1_xboole_0)=k1_xboole_0) ). fof(t2_subset, axiom, (! [A] : (! [B] : (m1_subset_1(A, B) => (v1_xboole_0(B) | r2_hidden(A, B)) ) ) ) ). fof(t2_xxreal_0, axiom, (! [A] : (! [B] : (! [C] : ( (r1_xxreal_0(A, B) & r1_xxreal_0(B, C)) => r1_xxreal_0(A, C)) ) ) ) ). fof(t3_arithm, axiom, (! [A] : k3_xcmplx_0(np__1, A)=A) ). fof(t3_fcont_1, axiom, (! [A] : (! [B] : (r1_fcont_1(B, A) <=> (! [C] : ~ ( ( ~ (r1_xxreal_0(C, k6_numbers)) & (! [D] : ~ ( ( ~ (r1_xxreal_0(D, k6_numbers)) & (! [E] : ~ ( (r2_hidden(E, k1_relset_1(k1_numbers, B)) & ( ~ (r1_xxreal_0(D, k18_complex1(k6_xcmplx_0(E, A)))) & r1_xxreal_0(C, k18_complex1(k9_real_1(k1_seq_1(B, E), k1_seq_1(B, A))))) ) ) ) ) ) ) ) ) ) ) ) ) ). fof(t3_subset, axiom, (! [A] : (! [B] : (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ). fof(t43_seqfunc, axiom, (! [A] : (! [B] : (! [C] : (r3_seqfunc(A, B, C) <=> (r1_seqfunc(A, k1_numbers, B, C) & (r2_seqfunc(A, B, C) & (! [D] : ~ ( ( ~ (r1_xxreal_0(D, k6_numbers)) & (! [E] : (? [F] : (? [G] : (r1_xxreal_0(E, F) & (r2_hidden(G, C) & r1_xxreal_0(D, k18_complex1(k9_real_1(k1_seq_1(k1_seqfunc(A, k1_numbers, B, F), G), k1_seq_1(k11_seqfunc(A, B, C), G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ). fof(t47_funct_1, axiom, (! [A] : (! [B] : (! [C] : (r2_hidden(A, k9_xtuple_0(k5_relat_1(C, B))) => k1_funct_1(k5_relat_1(C, B), A)=k1_funct_1(C, A)) ) ) ) ). fof(t49_funct_1, axiom, (! [A] : (! [B] : (! [C] : (r2_hidden(A, B) => k1_funct_1(k5_relat_1(C, B), A)=k1_funct_1(C, A)) ) ) ) ). fof(t4_arithm, axiom, (! [A] : k6_xcmplx_0(A, k6_numbers)=A) ). fof(t4_subset, axiom, (! [A] : (! [B] : (! [C] : ( (r2_hidden(A, B) & m1_subset_1(B, k1_zfmisc_1(C))) => m1_subset_1(A, C)) ) ) ) ). fof(t52_complex1, axiom, (! [A] : k17_complex1(k4_xcmplx_0(A))=k17_complex1(A)) ). fof(t56_complex1, axiom, (! [A] : (! [B] : r1_xxreal_0(k17_complex1(k2_xcmplx_0(A, B)), k7_real_1(k17_complex1(A), k17_complex1(B)))) ) ). fof(t57_relat_1, axiom, (! [A] : (! [B] : (! [C] : (r2_hidden(A, k9_xtuple_0(k5_relat_1(C, B))) <=> (r2_hidden(A, B) & r2_hidden(A, k9_xtuple_0(C))) ) ) ) ) ). fof(t5_arithm, axiom, (! [A] : k7_xcmplx_0(k6_numbers, A)=k6_numbers) ). fof(t5_subset, axiom, (! [A] : (! [B] : (! [C] : ~ ( (r2_hidden(A, B) & (m1_subset_1(B, k1_zfmisc_1(C)) & v1_xboole_0(C)) ) ) ) ) ) ). fof(t61_relat_1, axiom, (! [A] : (! [B] : k9_xtuple_0(k5_relat_1(B, A))=k3_xboole_0(k9_xtuple_0(B), A)) ) ). fof(t68_relat_1, axiom, (! [A] : (! [B] : (r1_tarski(k9_xtuple_0(B), A) => k5_relat_1(B, A)=B) ) ) ). fof(t6_arithm, axiom, (! [A] : k7_xcmplx_0(A, np__1)=A) ). fof(t6_boole, axiom, (! [A] : (v1_xboole_0(A) => A=k1_xboole_0) ) ). fof(t7_boole, axiom, (! [A] : (! [B] : ~ ( (r2_hidden(A, B) & v1_xboole_0(B)) ) ) ) ). fof(t8_boole, axiom, (! [A] : (! [B] : ~ ( (v1_xboole_0(A) & ( ~ (A=B) & v1_xboole_0(B)) ) ) ) ) ). fof(t8_xreal_1, axiom, (! [A] : (! [B] : (! [C] : (! [D] : ~ ( ( ~ (r1_xxreal_0(B, A)) & (r1_xxreal_0(C, D) & r1_xxreal_0(k2_xcmplx_0(B, D), k2_xcmplx_0(A, C))) ) ) ) ) ) ) ).