% Mizar problem: s2_aofa_i00,aofa_i00,2945,20 
include('Axioms/SET010^2.ax').
thf(n0_type, type, np__0: $i).
thf(n1_type, type, np__1: $i).
thf(n2_type, type, np__2: $i).
thf(n3_type, type, np__3: $i).
thf(n4_type, type, np__4: $i).
thf(f10_s2_aofa_i00_type, type, f10_s2_aofa_i00: $i).
thf(f1_s2_aofa_i00_type, type, f1_s2_aofa_i00: $i).
thf(f2_s2_aofa_i00_type, type, f2_s2_aofa_i00: $i).
thf(f3_s2_aofa_i00_type, type, f3_s2_aofa_i00: $i).
thf(f4_s2_aofa_i00_type, type, f4_s2_aofa_i00: $i).
thf(f5_s2_aofa_i00_type, type, f5_s2_aofa_i00: $i).
thf(f6_s2_aofa_i00_type, type, f6_s2_aofa_i00: $i).
thf(f7_s2_aofa_i00_type, type, f7_s2_aofa_i00: $i).
thf(f8_s2_aofa_i00_type, type, f8_s2_aofa_i00: $i).
thf(f9_s2_aofa_i00_type, type, f9_s2_aofa_i00: $i).
thf(k10_finseq_1_type, type, k10_finseq_1: $i > $i > $i).
thf(k10_subset_1_type, type, k10_subset_1: $i > $i).
thf(k10_xtuple_0_type, type, k10_xtuple_0: $i > $i).
thf(k12_aofa_000_type, type, k12_aofa_000: $i > $i).
thf(k13_aofa_000_type, type, k13_aofa_000: $i > $i > $i > $i).
thf(k13_finseq_1_type, type, k13_finseq_1: $i > $i).
thf(k15_funct_7_type, type, k15_funct_7: $i > $i > $i > $i > $i > $i).
thf(k16_aofa_000_type, type, k16_aofa_000: $i > $i > $i > $i).
thf(k17_aofa_000_type, type, k17_aofa_000: $i > $i > $i > $i > $i > $i).
thf(k18_aofa_000_type, type, k18_aofa_000: $i > $i).
thf(k1_aofa_i00_type, type, k1_aofa_i00: $i > $i > $i > $i).
thf(k1_binop_1_type, type, k1_binop_1: $i > $i > $i > $i).
thf(k1_funct_1_type, type, k1_funct_1: $i > $i > $i).
thf(k1_funct_2_type, type, k1_funct_2: $i > $i > $i).
thf(k1_funct_7_type, type, k1_funct_7: $i > $i > $i).
thf(k1_nat_1_type, type, k1_nat_1: $i > $i > $i).
thf(k1_numbers_type, type, k1_numbers: $i).
thf(k1_pua2mss1_type, type, k1_pua2mss1: $i > $i > $i).
thf(k1_tarski_type, type, k1_tarski: $i > $i).
thf(k1_xboole_0_type, type, k1_xboole_0: $i).
thf(k1_zfmisc_1_type, type, k1_zfmisc_1: $i > $i).
thf(k21_aofa_i00_type, type, k21_aofa_i00: $i > $i > $i > $i > $i).
thf(k23_aofa_i00_type, type, k23_aofa_i00: $i > $i > $i).
thf(k24_aofa_i00_type, type, k24_aofa_i00: $i > $i > $i).
thf(k29_aofa_i00_type, type, k29_aofa_i00: $i > $i > $i > $i > $i > $i > $i).
thf(k2_binop_1_type, type, k2_binop_1: $i > $i > $i > $i > $i > $i > $i).
thf(k2_finseq_4_type, type, k2_finseq_4: $i > $i > $i > $i).
thf(k2_funcop_1_type, type, k2_funcop_1: $i > $i > $i).
thf(k2_funct_7_type, type, k2_funct_7: $i > $i > $i > $i).
thf(k2_nat_1_type, type, k2_nat_1: $i > $i > $i).
thf(k2_pua2mss1_type, type, k2_pua2mss1: $i > $i > $i).
thf(k2_relset_1_type, type, k2_relset_1: $i > $i > $i).
thf(k2_tarski_type, type, k2_tarski: $i > $i > $i).
thf(k2_xcmplx_0_type, type, k2_xcmplx_0: $i > $i > $i).
thf(k2_zfmisc_1_type, type, k2_zfmisc_1: $i > $i > $i).
thf(k37_aofa_i00_type, type, k37_aofa_i00: $i > $i > $i > $i > $i > $i > $i).
thf(k3_finseq_2_type, type, k3_finseq_2: $i > $i).
thf(k3_funct_2_type, type, k3_funct_2: $i > $i > $i > $i > $i).
thf(k3_numbers_type, type, k3_numbers: $i).
thf(k3_real_1_type, type, k3_real_1: $i > $i > $i).
thf(k3_xcmplx_0_type, type, k3_xcmplx_0: $i > $i > $i).
thf(k40_aofa_i00_type, type, k40_aofa_i00: $i > $i > $i > $i > $i > $i).
thf(k41_aofa_i00_type, type, k41_aofa_i00: $i > $i > $i > $i > $i > $i).
thf(k42_aofa_i00_type, type, k42_aofa_i00: $i > $i > $i > $i > $i > $i).
thf(k44_aofa_i00_type, type, k44_aofa_i00: $i > $i > $i > $i > $i > $i > $i).
thf(k47_aofa_i00_type, type, k47_aofa_i00: $i > $i > $i > $i > $i > $i > $i).
thf(k4_aofa_i00_type, type, k4_aofa_i00: $i > $i > $i).
thf(k4_finseq_1_type, type, k4_finseq_1: $i > $i).
thf(k4_numbers_type, type, k4_numbers: $i).
thf(k4_ordinal1_type, type, k4_ordinal1: $i).
thf(k4_partfun1_type, type, k4_partfun1: $i > $i > $i).
thf(k4_tarski_type, type, k4_tarski: $i > $i > $i).
thf(k4_xboole_0_type, type, k4_xboole_0: $i > $i > $i).
thf(k4_xcmplx_0_type, type, k4_xcmplx_0: $i > $i).
thf(k57_aofa_i00_type, type, k57_aofa_i00: $i > $i > $i > $i > $i > $i > $i).
thf(k5_numbers_type, type, k5_numbers: $i).
thf(k5_xcmplx_0_type, type, k5_xcmplx_0: $i > $i).
thf(k67_aofa_i00_type, type, k67_aofa_i00: $i > $i > $i > $i > $i > $i > $i).
thf(k6_numbers_type, type, k6_numbers: $i).
thf(k6_subset_1_type, type, k6_subset_1: $i > $i > $i).
thf(k6_xcmplx_0_type, type, k6_xcmplx_0: $i > $i > $i).
thf(k74_aofa_i00_type, type, k74_aofa_i00: $i > $i > $i > $i > $i > $i > $i).
thf(k7_subset_1_type, type, k7_subset_1: $i > $i > $i > $i).
thf(k7_valued_1_type, type, k7_valued_1: $i > $i > $i).
thf(k7_xcmplx_0_type, type, k7_xcmplx_0: $i > $i > $i).
thf(k8_funcop_1_type, type, k8_funcop_1: $i > $i > $i > $i).
thf(k9_funct_2_type, type, k9_funct_2: $i > $i > $i).
thf(k9_xtuple_0_type, type, k9_xtuple_0: $i > $i).
thf(u1_struct_0_type, type, u1_struct_0: $i > $i).
thf(u1_unialg_1_type, type, u1_unialg_1: $i > $i).
thf(r4_aofa_000_type, type, r4_aofa_000: $i > $i > $i > $i > $i > $i > $o).
thf(l1_struct_0_type, type, l1_struct_0: $i > $o).
thf(l1_unialg_1_type, type, l1_unialg_1: $i > $o).
thf(m1_aofa_000_type, type, m1_aofa_000: $i > $i > $i > $i > $o).
thf(m1_aofa_i00_type, type, m1_aofa_i00: $i > $i > $i > $i > $i > $o).
thf(m1_finseq_1_type, type, m1_finseq_1: $i > $i > $o).
thf(m1_finseq_2_type, type, m1_finseq_2: $i > $i > $o).
thf(m1_funct_2_type, type, m1_funct_2: $i > $i > $i > $o).
thf(m1_pua2mss1_type, type, m1_pua2mss1: $i > $i > $i > $i > $o).
thf(m1_subset_1_type, type, m1_subset_1: $i > $i > $o).
thf(m2_aofa_i00_type, type, m2_aofa_i00: $i > $i > $i > $i > $i > $o).
thf(m2_finseq_1_type, type, m2_finseq_1: $i > $i > $o).
thf(m2_funct_2_type, type, m2_funct_2: $i > $i > $i > $i > $o).
thf(m2_subset_1_type, type, m2_subset_1: $i > $i > $i > $o).
thf(m3_aofa_i00_type, type, m3_aofa_i00: $i > $i > $i > $i > $i > $o).
thf(p1_s2_aofa_i00_type, type, p1_s2_aofa_i00: $i > $o).
thf(r1_tarski_type, type, r1_tarski: $i > $i > $o).
thf(r1_xxreal_0_type, type, r1_xxreal_0: $i > $i > $o).
thf(r2_aofa_000_type, type, r2_aofa_000: $i > $i > $i > $i > $o).
thf(r3_aofa_000_type, type, r3_aofa_000: $i > $i > $i > $i > $o).
thf(v13_aofa_000_type, type, v13_aofa_000: $i > $i > $i > $o).
thf(v13_struct_0_type, type, v13_struct_0: $i > $i > $o).
thf(v14_aofa_000_type, type, v14_aofa_000: $i > $i > $i > $o).
thf(v15_aofa_000_type, type, v15_aofa_000: $i > $i > $o).
thf(v1_abian_type, type, v1_abian: $i > $o).
thf(v1_aofa_i00_type, type, v1_aofa_i00: $i > $i > $i > $i > $o).
thf(v1_card_1_type, type, v1_card_1: $i > $o).
thf(v1_card_3_type, type, v1_card_3: $i > $o).
thf(v1_finseq_1_type, type, v1_finseq_1: $i > $o).
thf(v1_finset_1_type, type, v1_finset_1: $i > $o).
thf(v1_freealg_type, type, v1_freealg: $i > $o).
thf(v1_funcop_1_type, type, v1_funcop_1: $i > $o).
thf(v1_funct_1_type, type, v1_funct_1: $i > $o).
thf(v1_funct_2_type, type, v1_funct_2: $i > $i > $i > $o).
thf(v1_int_1_type, type, v1_int_1: $i > $o).
thf(v1_membered_type, type, v1_membered: $i > $o).
thf(v1_partfun1_type, type, v1_partfun1: $i > $i > $o).
thf(v1_rat_1_type, type, v1_rat_1: $i > $o).
thf(v1_relat_1_type, type, v1_relat_1: $i > $o).
thf(v1_setfam_1_type, type, v1_setfam_1: $i > $o).
thf(v1_valued_0_type, type, v1_valued_0: $i > $o).
thf(v1_xboole_0_type, type, v1_xboole_0: $i > $o).
thf(v1_xcmplx_0_type, type, v1_xcmplx_0: $i > $o).
thf(v1_xreal_0_type, type, v1_xreal_0: $i > $o).
thf(v1_xtuple_0_type, type, v1_xtuple_0: $i > $o).
thf(v1_xxreal_0_type, type, v1_xxreal_0: $i > $o).
thf(v1_zfmisc_1_type, type, v1_zfmisc_1: $i > $o).
thf(v2_aofa_i00_type, type, v2_aofa_i00: $i > $o).
thf(v2_card_1_type, type, v2_card_1: $i > $o).
thf(v2_card_3_type, type, v2_card_3: $i > $o).
thf(v2_finset_1_type, type, v2_finset_1: $i > $o).
thf(v2_funcop_1_type, type, v2_funcop_1: $i > $o).
thf(v2_funct_1_type, type, v2_funct_1: $i > $o).
thf(v2_membered_type, type, v2_membered: $i > $o).
thf(v2_relat_1_type, type, v2_relat_1: $i > $o).
thf(v2_setfam_1_type, type, v2_setfam_1: $i > $o).
thf(v2_struct_0_type, type, v2_struct_0: $i > $o).
thf(v2_unialg_1_type, type, v2_unialg_1: $i > $o).
thf(v2_valued_0_type, type, v2_valued_0: $i > $o).
thf(v2_xxreal_0_type, type, v2_xxreal_0: $i > $o).
thf(v3_aofa_000_type, type, v3_aofa_000: $i > $o).
thf(v3_card_1_type, type, v3_card_1: $i > $i > $o).
thf(v3_funct_1_type, type, v3_funct_1: $i > $o).
thf(v3_membered_type, type, v3_membered: $i > $o).
thf(v3_ordinal1_type, type, v3_ordinal1: $i > $o).
thf(v3_unialg_1_type, type, v3_unialg_1: $i > $o).
thf(v3_valued_0_type, type, v3_valued_0: $i > $o).
thf(v3_xxreal_0_type, type, v3_xxreal_0: $i > $o).
thf(v4_aofa_000_type, type, v4_aofa_000: $i > $o).
thf(v4_card_3_type, type, v4_card_3: $i > $o).
thf(v4_funct_1_type, type, v4_funct_1: $i > $o).
thf(v4_membered_type, type, v4_membered: $i > $o).
thf(v4_relat_1_type, type, v4_relat_1: $i > $i > $o).
thf(v4_unialg_1_type, type, v4_unialg_1: $i > $o).
thf(v4_valued_0_type, type, v4_valued_0: $i > $o).
thf(v5_aofa_000_type, type, v5_aofa_000: $i > $o).
thf(v5_card_3_type, type, v5_card_3: $i > $o).
thf(v5_finset_1_type, type, v5_finset_1: $i > $o).
thf(v5_membered_type, type, v5_membered: $i > $o).
thf(v5_ordinal1_type, type, v5_ordinal1: $i > $o).
thf(v5_relat_1_type, type, v5_relat_1: $i > $i > $o).
thf(v5_valued_0_type, type, v5_valued_0: $i > $o).
thf(v6_aofa_000_type, type, v6_aofa_000: $i > $o).
thf(v6_membered_type, type, v6_membered: $i > $o).
thf(v6_valued_0_type, type, v6_valued_0: $i > $o).
thf(v7_membered_type, type, v7_membered: $i > $o).
thf(v7_ordinal1_type, type, v7_ordinal1: $i > $o).
thf(v7_struct_0_type, type, v7_struct_0: $i > $o).
thf(v7_valued_0_type, type, v7_valued_0: $i > $o).
thf(v8_struct_0_type, type, v8_struct_0: $i > $o).
thf(v8_valued_0_type, type, v8_valued_0: $i > $o).
thf(antisymmetry_r2_hidden, axiom,  (! [A: $i, B: $i] :  ( ( (r2_hidden @ A)  @ B)  =>  ~ ( ( (r2_hidden @ B)  @ A) ) ) ) , file(hidden, r2_hidden)).
thf(cc10_card_1, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v1_zfmisc_1 @ A) )  =>  ( (v3_card_1 @ A)  @ np__1) ) ) , file(card_1, cc10_card_1)).
thf(cc10_membered, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @ k4_numbers) )  =>  (v5_membered @ A) ) ) , file(membered, cc10_membered)).
thf(cc10_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( ( ~ ( (v2_struct_0 @ A) )  &  (v7_struct_0 @ A) )  =>  ( (v13_struct_0 @ A)  @ np__1) ) ) ) , file(struct_0, cc10_struct_0)).
thf(cc10_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_valued_0 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v1_valued_0 @ B) ) ) ) ) , file(valued_0, cc10_valued_0)).
thf(cc11_membered, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @ k5_numbers) )  =>  (v6_membered @ A) ) ) , file(membered, cc11_membered)).
thf(cc11_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( ( (v13_struct_0 @ A)  @ np__1)  =>  ( ~ ( (v2_struct_0 @ A) )  &  (v7_struct_0 @ A) ) ) ) ) , file(struct_0, cc11_struct_0)).
thf(cc11_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v2_valued_0 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v2_valued_0 @ B) ) ) ) ) , file(valued_0, cc11_valued_0)).
thf(cc12_membered, axiom,  (! [A: $i] :  ( (v1_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v1_xcmplx_0 @ B) ) ) ) ) , file(membered, cc12_membered)).
thf(cc12_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v3_valued_0 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v3_valued_0 @ B) ) ) ) ) , file(valued_0, cc12_valued_0)).
thf(cc13_membered, axiom,  (! [A: $i] :  ( (v2_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v1_xxreal_0 @ B) ) ) ) ) , file(membered, cc13_membered)).
thf(cc13_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k3_numbers) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  ( (v5_relat_1 @ B)  @ k3_numbers) ) ) ) ) , file(valued_0, cc13_valued_0)).
thf(cc14_membered, axiom,  (! [A: $i] :  ( (v3_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v1_xreal_0 @ B) ) ) ) ) , file(membered, cc14_membered)).
thf(cc14_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k4_numbers) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  ( (v5_relat_1 @ B)  @ k4_numbers) ) ) ) ) , file(valued_0, cc14_valued_0)).
thf(cc15_membered, axiom,  (! [A: $i] :  ( (v4_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v1_rat_1 @ B) ) ) ) ) , file(membered, cc15_membered)).
thf(cc15_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v4_valued_0 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v4_valued_0 @ B) ) ) ) ) , file(valued_0, cc15_valued_0)).
thf(cc16_membered, axiom,  (! [A: $i] :  ( (v5_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v1_int_1 @ B) ) ) ) ) , file(membered, cc16_membered)).
thf(cc16_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v1_membered @ B)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  (v1_valued_0 @ C) ) ) ) ) , file(valued_0, cc16_valued_0)).
thf(cc17_membered, axiom,  (! [A: $i] :  ( (v6_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v7_ordinal1 @ B) ) ) ) ) , file(membered, cc17_membered)).
thf(cc17_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( ~ ( (v7_struct_0 @ A) )  =>  ~ ( (v2_struct_0 @ A) ) ) ) ) , file(struct_0, cc17_struct_0)).
thf(cc17_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v2_membered @ B)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  (v2_valued_0 @ C) ) ) ) ) , file(valued_0, cc17_valued_0)).
thf(cc18_membered, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v6_membered @ A) ) ) , file(membered, cc18_membered)).
thf(cc18_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v3_membered @ B)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  (v3_valued_0 @ C) ) ) ) ) , file(valued_0, cc18_valued_0)).
thf(cc19_membered, axiom,  (! [A: $i] :  ( (v1_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v1_membered @ B) ) ) ) ) , file(membered, cc19_membered)).
thf(cc19_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v4_membered @ B)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ( (v5_relat_1 @ C)  @ k3_numbers) ) ) ) ) , file(valued_0, cc19_valued_0)).
thf(cc1_abian, axiom,  (! [A: $i] :  ( (v2_setfam_1 @ A)  =>  (v1_zfmisc_1 @ A) ) ) , file(abian, cc1_abian)).
thf(cc1_card_1, axiom,  (! [A: $i] :  ( (v1_card_1 @ A)  =>  (v3_ordinal1 @ A) ) ) , file(card_1, cc1_card_1)).
thf(cc1_card_3, axiom,  (! [A: $i] :  ( ( (v1_xboole_0 @ A)  &  ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_card_3 @ A) ) ) ) ) , file(card_3, cc1_card_3)).
thf(cc1_card_5, axiom,  (! [A: $i] :  ( ~ ( (v1_finset_1 @ A) )  =>  ~ ( (v1_xboole_0 @ A) ) ) ) , file(card_5, cc1_card_5)).
thf(cc1_finset_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v1_finset_1 @ A) ) ) , file(finset_1, cc1_finset_1)).
thf(cc1_funcop_1, axiom,  (! [A: $i] :  ( (v4_funct_1 @ A)  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( ( (v5_relat_1 @ B)  @ A)  &  (v1_funct_1 @ B) ) )  =>  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v1_funcop_1 @ B) ) ) ) ) ) ) , file(funcop_1, cc1_funcop_1)).
thf(cc1_funct_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v1_funct_1 @ A) ) ) , file(funct_1, cc1_funct_1)).
thf(cc1_funct_2, axiom,  (! [A: $i, B: $i] :  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ( ( (v1_partfun1 @ C)  @ A)  =>  ( ( (v1_funct_2 @ C)  @ A)  @ B) ) ) ) ) , file(funct_2, cc1_funct_2)).
thf(cc1_int_1, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ k4_numbers)  =>  (v1_int_1 @ A) ) ) , file(int_1, cc1_int_1)).
thf(cc1_membered, axiom,  (! [A: $i] :  ( (v6_membered @ A)  =>  (v5_membered @ A) ) ) , file(membered, cc1_membered)).
thf(cc1_nat_1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  ( (v3_ordinal1 @ A)  &  (v7_ordinal1 @ A) ) ) ) , file(nat_1, cc1_nat_1)).
thf(cc1_relset_1, axiom,  (! [A: $i, B: $i] :  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  (v1_relat_1 @ C) ) ) ) , file(relset_1, cc1_relset_1)).
thf(cc1_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( (v2_struct_0 @ A)  =>  (v7_struct_0 @ A) ) ) ) , file(struct_0, cc1_struct_0)).
thf(cc1_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v4_valued_0 @ A) )  =>  ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k4_numbers) ) ) ) , file(valued_0, cc1_valued_0)).
thf(cc1_xcmplx_0, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ k1_numbers)  =>  (v1_xcmplx_0 @ A) ) ) , file(xcmplx_0, cc1_xcmplx_0)).
thf(cc1_xreal_0, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ k1_numbers)  =>  (v1_xreal_0 @ A) ) ) , file(xreal_0, cc1_xreal_0)).
thf(cc20_membered, axiom,  (! [A: $i] :  ( (v2_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v2_membered @ B) ) ) ) ) , file(membered, cc20_membered)).
thf(cc20_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v5_membered @ B)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ( (v5_relat_1 @ C)  @ k4_numbers) ) ) ) ) , file(valued_0, cc20_valued_0)).
thf(cc21_membered, axiom,  (! [A: $i] :  ( (v3_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v3_membered @ B) ) ) ) ) , file(membered, cc21_membered)).
thf(cc21_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v6_membered @ B)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  (v4_valued_0 @ C) ) ) ) ) , file(valued_0, cc21_valued_0)).
thf(cc22_membered, axiom,  (! [A: $i] :  ( (v4_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v4_membered @ B) ) ) ) ) , file(membered, cc22_membered)).
thf(cc22_valued_0, axiom,  (! [A: $i] :  ( ( (v1_zfmisc_1 @ A)  &  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_valued_0 @ A) ) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v2_valued_0 @ A)  &  ( (v5_valued_0 @ A)  &  (v6_valued_0 @ A) ) ) ) ) ) ) , file(valued_0, cc22_valued_0)).
thf(cc23_membered, axiom,  (! [A: $i] :  ( (v5_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v5_membered @ B) ) ) ) ) , file(membered, cc23_membered)).
thf(cc23_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v2_valued_0 @ A)  &  (v5_valued_0 @ A) ) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v2_valued_0 @ A)  &  (v7_valued_0 @ A) ) ) ) ) ) , file(valued_0, cc23_valued_0)).
thf(cc24_membered, axiom,  (! [A: $i] :  ( (v6_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v6_membered @ B) ) ) ) ) , file(membered, cc24_membered)).
thf(cc24_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v2_valued_0 @ A)  &  (v6_valued_0 @ A) ) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v2_valued_0 @ A)  &  (v8_valued_0 @ A) ) ) ) ) ) , file(valued_0, cc24_valued_0)).
thf(cc25_membered, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ k5_numbers)  =>  (v6_membered @ A) ) ) , file(membered, cc25_membered)).
thf(cc26_membered, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v7_membered @ A) ) ) , file(membered, cc26_membered)).
thf(cc2_abian, axiom,  (! [A: $i] :  ( ( (v1_int_1 @ A)  &  ~ ( (v1_abian @ A) ) )  =>  ( ~ ( (v1_xboole_0 @ A) )  &  (v1_int_1 @ A) ) ) ) , file(abian, cc2_abian)).
thf(cc2_card_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v1_card_1 @ A) ) ) , file(card_1, cc2_card_1)).
thf(cc2_card_3, axiom,  (! [A: $i, B: $i] :  ( (v1_setfam_1 @ B)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ( ( (v1_funct_1 @ C)  &  ( ( (v1_funct_2 @ C)  @ A)  @ B) )  =>  ( (v2_relat_1 @ C)  &  ( (v1_funct_1 @ C)  &  ( ( (v1_funct_2 @ C)  @ A)  @ B) ) ) ) ) ) ) ) , file(card_3, cc2_card_3)).
thf(cc2_finset_1, axiom,  (! [A: $i] :  ( (v1_finset_1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v1_finset_1 @ B) ) ) ) ) , file(finset_1, cc2_finset_1)).
thf(cc2_funcop_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_funcop_1 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_funcop_1 @ A) ) ) ) ) , file(funcop_1, cc2_funcop_1)).
thf(cc2_funct_1, axiom,  (! [A: $i] :  ( ( (v1_xboole_0 @ A)  &  ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_funct_1 @ A) ) ) ) ) , file(funct_1, cc2_funct_1)).
thf(cc2_funct_2, axiom,  (! [A: $i, B: $i] :  ( (v1_xboole_0 @ A)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ( ( ( (v1_funct_2 @ C)  @ A)  @ B)  =>  ( (v1_partfun1 @ C)  @ A) ) ) ) ) ) , file(funct_2, cc2_funct_2)).
thf(cc2_int_1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (v1_int_1 @ A) ) ) , file(int_1, cc2_int_1)).
thf(cc2_membered, axiom,  (! [A: $i] :  ( (v5_membered @ A)  =>  (v4_membered @ A) ) ) , file(membered, cc2_membered)).
thf(cc2_nat_1, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ k5_numbers)  =>  ~ ( (v3_xxreal_0 @ A) ) ) ) , file(nat_1, cc2_nat_1)).
thf(cc2_relset_1, axiom,  (! [A: $i, B: $i] :  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v5_relat_1 @ C)  @ B) ) ) ) ) , file(relset_1, cc2_relset_1)).
thf(cc2_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( ~ ( (v7_struct_0 @ A) )  =>  ~ ( (v2_struct_0 @ A) ) ) ) ) , file(struct_0, cc2_struct_0)).
thf(cc2_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k4_numbers) )  =>  ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k3_numbers) ) ) ) , file(valued_0, cc2_valued_0)).
thf(cc2_xcmplx_0, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (v1_xcmplx_0 @ A) ) ) , file(xcmplx_0, cc2_xcmplx_0)).
thf(cc2_xreal_0, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (v1_xreal_0 @ A) ) ) , file(xreal_0, cc2_xreal_0)).
thf(cc2_xxreal_0, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (v1_xxreal_0 @ A) ) ) , file(xxreal_0, cc2_xxreal_0)).
thf(cc30_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k1_numbers) )  =>  ( (v1_relat_1 @ A)  &  (v3_valued_0 @ A) ) ) ) , file(valued_0, cc30_valued_0)).
thf(cc31_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k5_numbers) )  =>  ( (v1_relat_1 @ A)  &  (v4_valued_0 @ A) ) ) ) , file(valued_0, cc31_valued_0)).
thf(cc3_card_1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (v1_card_1 @ A) ) ) , file(card_1, cc3_card_1)).
thf(cc3_finset_1, axiom,  (! [A: $i, B: $i] :  ( (v1_finset_1 @ A)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ( ( (v1_funct_1 @ C)  &  ( ( (v1_funct_2 @ C)  @ A)  @ B) )  =>  ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ A)  @ B)  &  (v1_finset_1 @ C) ) ) ) ) ) ) ) , file(finset_1, cc3_finset_1)).
thf(cc3_funcop_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_xboole_0 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_funcop_1 @ A) ) ) ) ) , file(funcop_1, cc3_funcop_1)).
thf(cc3_funct_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v1_funct_1 @ B) ) ) ) ) , file(funct_1, cc3_funct_1)).
thf(cc3_funct_2, axiom,  (! [A: $i, B: $i] :  ( ~ ( (v1_xboole_0 @ B) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ( ( ( (v1_funct_2 @ C)  @ A)  @ B)  =>  ( (v1_partfun1 @ C)  @ A) ) ) ) ) ) , file(funct_2, cc3_funct_2)).
thf(cc3_int_1, axiom,  (! [A: $i] :  ( (v1_int_1 @ A)  =>  (v1_xreal_0 @ A) ) ) , file(int_1, cc3_int_1)).
thf(cc3_membered, axiom,  (! [A: $i] :  ( (v4_membered @ A)  =>  (v3_membered @ A) ) ) , file(membered, cc3_membered)).
thf(cc3_nat_1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  ( (v7_ordinal1 @ A)  &  ~ ( (v3_xxreal_0 @ A) ) ) ) ) , file(nat_1, cc3_nat_1)).
thf(cc3_relset_1, axiom,  (! [A: $i, B: $i] :  ( (v1_xboole_0 @ A)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  (v1_xboole_0 @ C) ) ) ) ) , file(relset_1, cc3_relset_1)).
thf(cc3_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k4_numbers) )  =>  ( (v1_relat_1 @ A)  &  (v3_valued_0 @ A) ) ) ) , file(valued_0, cc3_valued_0)).
thf(cc3_xreal_0, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (v1_xcmplx_0 @ A) ) ) , file(xreal_0, cc3_xreal_0)).
thf(cc3_xxreal_0, axiom,  (! [A: $i] :  ( ( (v1_xxreal_0 @ A)  &  (v2_xxreal_0 @ A) )  =>  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_xxreal_0 @ A)  &  ~ ( (v3_xxreal_0 @ A) ) ) ) ) ) , file(xxreal_0, cc3_xxreal_0)).
thf(cc4_card_1, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ k4_ordinal1)  =>  (v1_finset_1 @ A) ) ) , file(card_1, cc4_card_1)).
thf(cc4_card_3, axiom,  (! [A: $i] :  ( (v5_card_3 @ A)  =>  ( ~ ( (v1_finset_1 @ A) )  &  (v4_card_3 @ A) ) ) ) , file(card_3, cc4_card_3)).
thf(cc4_finset_1, axiom,  (! [A: $i] :  ( (v1_zfmisc_1 @ A)  =>  (v1_finset_1 @ A) ) ) , file(finset_1, cc4_finset_1)).
thf(cc4_funct_1, axiom,  (! [A: $i] :  ( ( (v1_xboole_0 @ A)  &  ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v3_funct_1 @ A) ) ) ) ) , file(funct_1, cc4_funct_1)).
thf(cc4_funct_2, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ A) ) )  =>  ( ( ( (v1_funct_2 @ B)  @ A)  @ A)  =>  ( (v1_partfun1 @ B)  @ A) ) ) ) ) , file(funct_2, cc4_funct_2)).
thf(cc4_membered, axiom,  (! [A: $i] :  ( (v3_membered @ A)  =>  (v2_membered @ A) ) ) , file(membered, cc4_membered)).
thf(cc4_relset_1, axiom,  (! [A: $i, B: $i] :  ( (v1_xboole_0 @ A)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ B)  @ A) ) )  =>  (v1_xboole_0 @ C) ) ) ) ) , file(relset_1, cc4_relset_1)).
thf(cc4_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( (v2_struct_0 @ A)  =>  ( (v2_struct_0 @ A)  &  (v8_struct_0 @ A) ) ) ) ) , file(struct_0, cc4_struct_0)).
thf(cc4_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k3_numbers) )  =>  ( (v1_relat_1 @ A)  &  (v3_valued_0 @ A) ) ) ) , file(valued_0, cc4_valued_0)).
thf(cc4_xreal_0, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (v1_xxreal_0 @ A) ) ) , file(xreal_0, cc4_xreal_0)).
thf(cc4_xxreal_0, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_xxreal_0 @ A)  &  ~ ( (v3_xxreal_0 @ A) ) ) )  =>  ( (v1_xxreal_0 @ A)  &  (v2_xxreal_0 @ A) ) ) ) , file(xxreal_0, cc4_xxreal_0)).
thf(cc5_aofa_000, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @ B) ) ) )  =>  (! [D: $i] :  ( ( ( ( (m1_aofa_000 @ D)  @ A)  @ B)  @ C)  =>  ( ( ( (v13_aofa_000 @ D)  @ A)  @ B)  &  ( ( (v14_aofa_000 @ D)  @ A)  @ B) ) ) ) ) ) , file(aofa_000, cc5_aofa_000)).
thf(cc5_card_1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (v1_finset_1 @ A) ) ) , file(card_1, cc5_card_1)).
thf(cc5_card_3, axiom,  (! [A: $i] :  ( ( ~ ( (v1_finset_1 @ A) )  &  (v4_card_3 @ A) )  =>  (v5_card_3 @ A) ) ) , file(card_3, cc5_card_3)).
thf(cc5_finset_1, axiom,  (! [A: $i] :  ( ~ ( (v1_finset_1 @ A) )  =>  ~ ( (v1_zfmisc_1 @ A) ) ) ) , file(finset_1, cc5_finset_1)).
thf(cc5_funct_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ~ ( (v3_funct_1 @ A) ) ) )  =>  ( ~ ( (v1_zfmisc_1 @ A) )  &  ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) ) ) ) ) , file(funct_1, cc5_funct_1)).
thf(cc5_membered, axiom,  (! [A: $i] :  ( (v3_membered @ A)  =>  (v1_membered @ A) ) ) , file(membered, cc5_membered)).
thf(cc5_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( ~ ( (v8_struct_0 @ A) )  =>  ( ~ ( (v2_struct_0 @ A) )  &  ~ ( (v8_struct_0 @ A) ) ) ) ) ) , file(struct_0, cc5_struct_0)).
thf(cc5_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v3_valued_0 @ A) )  =>  ( (v1_relat_1 @ A)  &  (v2_valued_0 @ A) ) ) ) , file(valued_0, cc5_valued_0)).
thf(cc5_xxreal_0, axiom,  (! [A: $i] :  ( ( (v1_xxreal_0 @ A)  &  (v3_xxreal_0 @ A) )  =>  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_xxreal_0 @ A)  &  ~ ( (v2_xxreal_0 @ A) ) ) ) ) ) , file(xxreal_0, cc5_xxreal_0)).
thf(cc6_card_1, axiom,  (! [A: $i] :  ( ( (v3_ordinal1 @ A)  &  (v1_finset_1 @ A) )  =>  (v7_ordinal1 @ A) ) ) , file(card_1, cc6_card_1)).
thf(cc6_card_3, axiom,  (! [A: $i] :  ( (v1_finset_1 @ A)  =>  (v4_card_3 @ A) ) ) , file(card_3, cc6_card_3)).
thf(cc6_finset_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v5_finset_1 @ A) ) ) , file(finset_1, cc6_finset_1)).
thf(cc6_funct_1, axiom,  (! [A: $i] :  ( ( (v1_zfmisc_1 @ A)  &  ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v3_funct_1 @ A) ) ) ) ) , file(funct_1, cc6_funct_1)).
thf(cc6_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( (v7_struct_0 @ A)  =>  (v8_struct_0 @ A) ) ) ) , file(struct_0, cc6_struct_0)).
thf(cc6_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v3_valued_0 @ A) )  =>  ( (v1_relat_1 @ A)  &  (v1_valued_0 @ A) ) ) ) , file(valued_0, cc6_valued_0)).
thf(cc6_xxreal_0, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_xxreal_0 @ A)  &  ~ ( (v2_xxreal_0 @ A) ) ) )  =>  ( (v1_xxreal_0 @ A)  &  (v3_xxreal_0 @ A) ) ) ) , file(xxreal_0, cc6_xxreal_0)).
thf(cc7_card_1, axiom,  (! [A: $i] :  ( ( (v3_card_1 @ A)  @ k1_xboole_0)  =>  (v1_xboole_0 @ A) ) ) , file(card_1, cc7_card_1)).
thf(cc7_card_3, axiom,  (! [A: $i] :  ( (v4_card_3 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v4_card_3 @ B) ) ) ) ) , file(card_3, cc7_card_3)).
thf(cc7_finset_1, axiom,  (! [A: $i] :  ( (v5_finset_1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v1_finset_1 @ B) ) ) ) ) , file(finset_1, cc7_finset_1)).
thf(cc7_funct_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v4_funct_1 @ A) ) ) , file(funct_1, cc7_funct_1)).
thf(cc7_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( ~ ( (v8_struct_0 @ A) )  =>  ~ ( (v7_struct_0 @ A) ) ) ) ) , file(struct_0, cc7_struct_0)).
thf(cc7_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v4_valued_0 @ A) )  =>  ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k3_numbers) ) ) ) , file(valued_0, cc7_valued_0)).
thf(cc7_xxreal_0, axiom,  (! [A: $i] :  ( ( (v1_xboole_0 @ A)  &  (v1_xxreal_0 @ A) )  =>  ( (v1_xxreal_0 @ A)  &  ( ~ ( (v2_xxreal_0 @ A) )  &  ~ ( (v3_xxreal_0 @ A) ) ) ) ) ) , file(xxreal_0, cc7_xxreal_0)).
thf(cc8_card_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  ( (v3_card_1 @ A)  @ k1_xboole_0) ) ) , file(card_1, cc8_card_1)).
thf(cc8_card_3, axiom,  (! [A: $i] :  ( (v2_card_3 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v2_card_3 @ B) ) ) ) ) , file(card_3, cc8_card_3)).
thf(cc8_finset_1, axiom,  (! [A: $i] :  ( (v5_finset_1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v5_finset_1 @ B) ) ) ) ) , file(finset_1, cc8_finset_1)).
thf(cc8_funct_1, axiom,  (! [A: $i] :  ( (v4_funct_1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  ( (v1_relat_1 @ B)  &  (v1_funct_1 @ B) ) ) ) ) ) , file(funct_1, cc8_funct_1)).
thf(cc8_funct_2, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ~ ( (v1_xboole_0 @ B) ) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ( ( (v1_funct_1 @ C)  &  ( ( (v1_funct_2 @ C)  @ A)  @ B) )  =>  ( (v1_funct_1 @ C)  &  ( ~ ( (v1_xboole_0 @ C) )  &  ( ( (v1_funct_2 @ C)  @ A)  @ B) ) ) ) ) ) ) ) , file(funct_2, cc8_funct_2)).
thf(cc8_membered, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @ k1_numbers) )  =>  (v3_membered @ A) ) ) , file(membered, cc8_membered)).
thf(cc8_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( (v2_struct_0 @ A)  =>  ( (v13_struct_0 @ A)  @ k1_xboole_0) ) ) ) , file(struct_0, cc8_struct_0)).
thf(cc8_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v4_valued_0 @ A) )  =>  ( (v1_relat_1 @ A)  &  (v3_valued_0 @ A) ) ) ) , file(valued_0, cc8_valued_0)).
thf(cc8_xxreal_0, axiom,  (! [A: $i] :  ( ( (v1_xxreal_0 @ A)  &  ( ~ ( (v2_xxreal_0 @ A) )  &  ~ ( (v3_xxreal_0 @ A) ) ) )  =>  ( (v1_xboole_0 @ A)  &  (v1_xxreal_0 @ A) ) ) ) , file(xxreal_0, cc8_xxreal_0)).
thf(cc9_card_1, axiom,  (! [A: $i] :  ( ( (v3_card_1 @ A)  @ np__1)  =>  ( ~ ( (v1_xboole_0 @ A) )  &  (v1_zfmisc_1 @ A) ) ) ) , file(card_1, cc9_card_1)).
thf(cc9_finset_1, axiom,  (! [A: $i] :  ( ( (v1_xboole_0 @ A)  &  (v1_relat_1 @ A) )  =>  ( (v1_relat_1 @ A)  &  (v2_finset_1 @ A) ) ) ) , file(finset_1, cc9_finset_1)).
thf(cc9_funct_1, axiom,  (! [A: $i] :  ( (v4_funct_1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v4_funct_1 @ B) ) ) ) ) , file(funct_1, cc9_funct_1)).
thf(cc9_funct_2, axiom,  (! [A: $i, B: $i] :  (! [C: $i] :  ( ( ( (m1_funct_2 @ C)  @ A)  @ B)  =>  (v4_funct_1 @ C) ) ) ) , file(funct_2, cc9_funct_2)).
thf(cc9_membered, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @ k3_numbers) )  =>  (v4_membered @ A) ) ) , file(membered, cc9_membered)).
thf(cc9_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( ( (v13_struct_0 @ A)  @ k1_xboole_0)  =>  (v2_struct_0 @ A) ) ) ) , file(struct_0, cc9_struct_0)).
thf(cc9_valued_0, axiom,  (! [A: $i] :  ( ( (v1_xboole_0 @ A)  &  (v1_relat_1 @ A) )  =>  ( (v1_relat_1 @ A)  &  (v4_valued_0 @ A) ) ) ) , file(valued_0, cc9_valued_0)).
thf(commutativity_k1_nat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v7_ordinal1 @ A)  &  ( (m1_subset_1 @ B)  @ k5_numbers) )  =>  ( (= @  ( (k1_nat_1 @ A)  @ B) )  @  ( (k1_nat_1 @ B)  @ A) ) ) ) , file(nat_1, k1_nat_1)).
thf(commutativity_k2_nat_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (m1_subset_1 @ A)  @ k5_numbers)  &  (v7_ordinal1 @ B) )  =>  ( (= @  ( (k2_nat_1 @ A)  @ B) )  @  ( (k2_nat_1 @ B)  @ A) ) ) ) , file(nat_1, k2_nat_1)).
thf(commutativity_k2_tarski, axiom,  (! [A: $i, B: $i] :  ( (= @  ( (k2_tarski @ A)  @ B) )  @  ( (k2_tarski @ B)  @ A) ) ) , file(tarski, k2_tarski)).
thf(commutativity_k2_xcmplx_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  ( (= @  ( (k2_xcmplx_0 @ A)  @ B) )  @  ( (k2_xcmplx_0 @ B)  @ A) ) ) ) , file(xcmplx_0, k2_xcmplx_0)).
thf(commutativity_k3_real_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xreal_0 @ A)  &  ( (m1_subset_1 @ B)  @ k1_numbers) )  =>  ( (= @  ( (k3_real_1 @ A)  @ B) )  @  ( (k3_real_1 @ B)  @ A) ) ) ) , file(real_1, k3_real_1)).
thf(commutativity_k3_xcmplx_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  ( (= @  ( (k3_xcmplx_0 @ A)  @ B) )  @  ( (k3_xcmplx_0 @ B)  @ A) ) ) ) , file(xcmplx_0, k3_xcmplx_0)).
thf(connectedness_r1_xxreal_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xxreal_0 @ A)  &  (v1_xxreal_0 @ B) )  =>  ( ( (r1_xxreal_0 @ A)  @ B)  |  ( (r1_xxreal_0 @ B)  @ A) ) ) ) , file(xxreal_0, r1_xxreal_0)).
thf(d16_aofa_000, axiom,  (! [A: $i] :  ( ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  (l1_unialg_1 @ A) ) )  =>  ( (= @  (k12_aofa_000 @ A) )  @  ( (k1_funct_1 @  ( (k2_pua2mss1 @ A)  @  ( (k1_funct_7 @ np__1)  @  (k4_finseq_1 @  (u1_unialg_1 @ A) ) ) ) )  @ k1_xboole_0) ) ) ) , file(aofa_000, d16_aofa_000)).
thf(d17_aofa_000, axiom,  (! [A: $i] :  ( ( (v4_unialg_1 @ A)  &  ( (v4_aofa_000 @ A)  &  (l1_unialg_1 @ A) ) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (u1_struct_0 @ A) )  =>  ( (= @  ( ( (k13_aofa_000 @ A)  @ B)  @ C) )  @  ( (k1_funct_1 @  ( (k2_pua2mss1 @ A)  @  ( (k1_funct_7 @ np__2)  @  (k4_finseq_1 @  (u1_unialg_1 @ A) ) ) ) )  @  ( ( (k2_finseq_4 @  (u1_struct_0 @ A) )  @ B)  @ C) ) ) ) ) ) ) ) ) , file(aofa_000, d17_aofa_000)).
thf(d1_aofa_i00, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v4_funct_1 @ A) )  =>  (! [B: $i] :  (! [C: $i] :  ( (= @  ( ( (k1_aofa_i00 @ A)  @ B)  @ C) )  @  ( ( (replSep1 @  (^ [D: $i] :  ( (m1_subset_1 @ D)  @ A) ) )  @  (^ [D: $i] : D) )  @  (^ [D: $i] :  ~ ( ( (= @  ( (k1_funct_1 @ D)  @ B) )  @ C) ) ) ) ) ) ) ) ) , file(aofa_i00, d1_aofa_i00)).
thf(d1_binop_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) )  =>  (! [B: $i] :  (! [C: $i] :  ( (= @  ( ( (k1_binop_1 @ A)  @ B)  @ C) )  @  ( (k1_funct_1 @ A)  @  ( (k4_tarski @ B)  @ C) ) ) ) ) ) ) , file(binop_1, d1_binop_1)).
thf(d1_funct_7, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (r2_hidden @ A)  @ B)  =>  ( (= @  ( (k1_funct_7 @ A)  @ B) )  @ A) ) ) ) , file(funct_7, d1_funct_7)).
thf(d20_aofa_000, axiom,  (! [A: $i] :  ( ( (v4_unialg_1 @ A)  &  ( (v6_aofa_000 @ A)  &  (l1_unialg_1 @ A) ) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (u1_struct_0 @ A) )  =>  ( (= @  ( ( (k16_aofa_000 @ A)  @ B)  @ C) )  @  ( (k1_funct_1 @  ( (k2_pua2mss1 @ A)  @  ( (k1_funct_7 @ np__4)  @  (k4_finseq_1 @  (u1_unialg_1 @ A) ) ) ) )  @  ( ( (k2_finseq_4 @  (u1_struct_0 @ A) )  @ B)  @ C) ) ) ) ) ) ) ) ) , file(aofa_000, d20_aofa_000)).
thf(d20_aofa_i00, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  ( (= @  ( (k24_aofa_i00 @ A)  @ B) )  @  ( ( (k8_funcop_1 @ A)  @  ( (k9_funct_2 @ A)  @ k4_numbers) )  @ B) ) ) ) ) ) , file(aofa_i00, d20_aofa_i00)).
thf(d21_aofa_000, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (u1_struct_0 @ A) )  =>  (! [D: $i] :  ( ( (m1_subset_1 @ D)  @  (u1_struct_0 @ A) )  =>  (! [E: $i] :  ( ( (m1_subset_1 @ E)  @  (u1_struct_0 @ A) )  =>  ( (= @  ( ( ( ( (k17_aofa_000 @ A)  @ B)  @ C)  @ D)  @ E) )  @  ( ( (k13_aofa_000 @ A)  @ B)  @  ( ( (k16_aofa_000 @ A)  @ C)  @  ( ( (k13_aofa_000 @ A)  @ D)  @ E) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(aofa_000, d21_aofa_000)).
thf(d22_aofa_000, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) )  =>  ( (= @  (k18_aofa_000 @ A) )  @  ( ( (k7_subset_1 @  (u1_struct_0 @ A) )  @  ( ( (k7_subset_1 @  (u1_struct_0 @ A) )  @  ( ( (k7_subset_1 @  (u1_struct_0 @ A) )  @  ( (k6_subset_1 @  (u1_struct_0 @ A) )  @  (k1_tarski @  (k12_aofa_000 @ A) ) ) )  @  ( (k2_relset_1 @  (u1_struct_0 @ A) )  @  ( (k2_pua2mss1 @ A)  @  ( (k1_funct_7 @ np__3)  @  (k4_finseq_1 @  (u1_unialg_1 @ A) ) ) ) ) ) )  @  ( (k2_relset_1 @  (u1_struct_0 @ A) )  @  ( (k2_pua2mss1 @ A)  @  ( (k1_funct_7 @ np__4)  @  (k4_finseq_1 @  (u1_unialg_1 @ A) ) ) ) ) ) )  @  ( ( ( (replSep2 @  (^ [B: $i] :  ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) ) ) )  @  (^ [B: $i] :  (^ [C: $i] :  ( (m1_subset_1 @ C)  @  (u1_struct_0 @ A) ) ) ) )  @  (^ [B: $i, C: $i] :  ( ( (k13_aofa_000 @ A)  @ B)  @ C) ) )  @  (^ [B: $i, C: $i] :  ( ~ ( ( (= @ B)  @  ( ( (k13_aofa_000 @ A)  @ B)  @ C) ) )  &  ~ ( ( (= @ C)  @  ( ( (k13_aofa_000 @ A)  @ B)  @ C) ) ) ) ) ) ) ) ) ) , file(aofa_000, d22_aofa_000)).
thf(d29_aofa_000, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) )  =>  (! [B: $i] :  ( ~ ( (v1_xboole_0 @ B) )  =>  (! [C: $i] :  ( ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @  ( (k2_zfmisc_1 @ B)  @  (u1_struct_0 @ A) ) )  @ B)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ B)  @  (u1_struct_0 @ A) ) )  @ B) ) ) ) )  =>  ( ( ( (v14_aofa_000 @ C)  @ A)  @ B)  <=>  (! [D: $i] :  ( ( (m1_subset_1 @ D)  @ B)  =>  (! [E: $i] :  ( ( (m1_subset_1 @ E)  @  (u1_struct_0 @ A) )  =>  (! [F: $i] :  ( ( (m1_subset_1 @ F)  @  (u1_struct_0 @ A) )  =>  ( (= @  ( ( ( ( ( (k2_binop_1 @ B)  @  (u1_struct_0 @ A) )  @ B)  @ C)  @ D)  @  ( ( (k13_aofa_000 @ A)  @ E)  @ F) ) )  @  ( ( ( ( ( (k2_binop_1 @ B)  @  (u1_struct_0 @ A) )  @ B)  @ C)  @  ( ( ( ( ( (k2_binop_1 @ B)  @  (u1_struct_0 @ A) )  @ B)  @ C)  @ D)  @ E) )  @ F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(aofa_000, d29_aofa_000)).
thf(d2_funcop_1, axiom,  (! [A: $i] :  (! [B: $i] :  ( (= @  ( (k2_funcop_1 @ A)  @ B) )  @  ( (k2_zfmisc_1 @ A)  @  (k1_tarski @ B) ) ) ) ) , file(funcop_1, d2_funcop_1)).
thf(d2_xboole_0, axiom,  ( (= @ k1_xboole_0)  @  (eps @  (^ [A: $i] :  (v1_xboole_0 @ A) ) ) ) , file(xboole_0, d2_xboole_0)).
thf(d31_aofa_000, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) )  =>  (! [B: $i] :  ( ~ ( (v1_xboole_0 @ B) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @ B) )  =>  (! [D: $i] :  ( ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @  ( (k2_zfmisc_1 @ B)  @  (u1_struct_0 @ A) ) )  @ B)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ B)  @  (u1_struct_0 @ A) ) )  @ B) ) ) ) )  =>  ( ( ( ( (r3_aofa_000 @ A)  @ B)  @ C)  @ D)  <=>  (! [E: $i] :  ( ( (m1_subset_1 @ E)  @ B)  =>  (! [F: $i] :  ( ( (m1_subset_1 @ F)  @  (u1_struct_0 @ A) )  =>  (! [G: $i] :  ( ( (m1_subset_1 @ G)  @  (u1_struct_0 @ A) )  =>  ( ( ( (r2_hidden @  ( ( ( ( ( (k2_binop_1 @ B)  @  (u1_struct_0 @ A) )  @ B)  @ D)  @ E)  @ F) )  @ C)  =>  ( (= @  ( ( ( ( ( (k2_binop_1 @ B)  @  (u1_struct_0 @ A) )  @ B)  @ D)  @ E)  @  ( ( (k16_aofa_000 @ A)  @ F)  @ G) ) )  @  ( ( ( ( ( (k2_binop_1 @ B)  @  (u1_struct_0 @ A) )  @ B)  @ D)  @  ( ( ( ( ( (k2_binop_1 @ B)  @  (u1_struct_0 @ A) )  @ B)  @ D)  @  ( ( ( ( ( (k2_binop_1 @ B)  @  (u1_struct_0 @ A) )  @ B)  @ D)  @ E)  @ F) )  @ G) )  @  ( ( (k16_aofa_000 @ A)  @ F)  @ G) ) ) )  &  ( ~ ( ( (r2_hidden @  ( ( ( ( ( (k2_binop_1 @ B)  @  (u1_struct_0 @ A) )  @ B)  @ D)  @ E)  @ F) )  @ C) )  =>  ( (= @  ( ( ( ( ( (k2_binop_1 @ B)  @  (u1_struct_0 @ A) )  @ B)  @ D)  @ E)  @  ( ( (k16_aofa_000 @ A)  @ F)  @ G) ) )  @  ( ( ( ( ( (k2_binop_1 @ B)  @  (u1_struct_0 @ A) )  @ B)  @ D)  @ E)  @ F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(aofa_000, d31_aofa_000)).
thf(d32_aofa_000, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) )  =>  (! [B: $i] :  ( ~ ( (v1_xboole_0 @ B) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @ B) )  =>  (! [D: $i] :  ( ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @  ( (k2_zfmisc_1 @ B)  @  (u1_struct_0 @ A) ) )  @ B)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ B)  @  (u1_struct_0 @ A) ) )  @ B) ) ) ) )  =>  ( ( ( ( (m1_aofa_000 @ D)  @ A)  @ B)  @ C)  <=>  ( ( ( (v13_aofa_000 @ D)  @ A)  @ B)  &  ( ( ( (v14_aofa_000 @ D)  @ A)  @ B)  &  ( ( ( ( (r2_aofa_000 @ A)  @ B)  @ C)  @ D)  &  ( ( ( (r3_aofa_000 @ A)  @ B)  @ C)  @ D) ) ) ) ) ) ) ) ) ) ) ) ) , file(aofa_000, d32_aofa_000)).
thf(d34_aofa_i00, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  ( (v2_aofa_i00 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) ) )  =>  (! [B: $i] :  ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_card_3 @ B) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) ) )  =>  (! [D: $i] :  ( ( ( ( ( (v1_aofa_i00 @ D)  @ A)  @ B)  @ C)  &  ( ( ( (m1_aofa_000 @ D)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C) )  =>  (! [E: $i] :  ( ( ( ( ( (m2_aofa_i00 @ E)  @ A)  @ B)  @ C)  @ D)  =>  ( (= @  ( ( ( ( (k40_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E) )  @  ( (k23_aofa_i00 @ B)  @ E) ) ) ) ) ) ) ) ) ) ) ) , file(aofa_i00, d34_aofa_i00)).
thf(d35_aofa_i00, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  ( (v2_aofa_i00 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) ) )  =>  (! [B: $i] :  ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_card_3 @ B) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) ) )  =>  (! [D: $i] :  ( ( ( ( ( (v1_aofa_i00 @ D)  @ A)  @ B)  @ C)  &  ( ( ( (m1_aofa_000 @ D)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C) )  =>  (! [E: $i] :  ( ( (m1_subset_1 @ E)  @ B)  =>  ( (= @  ( ( ( ( (k41_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E) )  @  ( (k24_aofa_i00 @ B)  @ E) ) ) ) ) ) ) ) ) ) ) ) , file(aofa_i00, d35_aofa_i00)).
thf(d36_aofa_i00, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  ( (v2_aofa_i00 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) ) )  =>  (! [B: $i] :  ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_card_3 @ B) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) ) )  =>  (! [D: $i] :  ( ( ( ( ( (v1_aofa_i00 @ D)  @ A)  @ B)  @ C)  &  ( ( ( (m1_aofa_000 @ D)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C) )  =>  (! [E: $i] :  ( ( ( ( ( (m1_aofa_i00 @ E)  @ B)  @  (u1_struct_0 @ A) )  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ D)  =>  ( (= @  ( ( ( ( (k42_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E) )  @  ( ( ( ( (k40_aofa_i00 @ A)  @ B)  @ C)  @ D)  @  ( ( ( ( (k41_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E) ) ) ) ) ) ) ) ) ) ) ) ) , file(aofa_i00, d36_aofa_i00)).
thf(d38_aofa_i00, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  ( (v2_aofa_i00 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) ) )  =>  (! [B: $i] :  ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_card_3 @ B) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) ) )  =>  (! [D: $i] :  ( ( ( ( ( (v1_aofa_i00 @ D)  @ A)  @ B)  @ C)  &  ( ( ( (m1_aofa_000 @ D)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C) )  =>  (! [E: $i] :  ( ( ( ( ( (m2_aofa_i00 @ E)  @ A)  @ B)  @ C)  @ D)  =>  (! [F: $i] :  ( ( ( ( ( (m3_aofa_i00 @ F)  @ A)  @ B)  @ C)  @ D)  =>  ( (= @  ( ( ( ( ( (k44_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E)  @ F) )  @  (k10_subset_1 @  ( ( (replSep1 @  (^ [G: $i] :  ( (m1_subset_1 @ G)  @  (u1_struct_0 @ A) ) ) )  @  (^ [G: $i] : G) )  @  (^ [G: $i] :  ( ( (r2_hidden @ G)  @  (k18_aofa_000 @ A) )  &  (! [H: $i] :  ( ( ( ( (m2_funct_2 @ H)  @ B)  @ k4_numbers)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  =>  ( (= @  ( ( ( ( ( (k2_binop_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @  (u1_struct_0 @ A) )  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ D)  @ H)  @ G) )  @  ( ( ( ( (k15_funct_7 @ B)  @ k4_numbers)  @ H)  @  ( ( ( (k3_funct_2 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ B)  @ E)  @ H) )  @  ( ( ( (k3_funct_2 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ k4_numbers)  @ F)  @ H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(aofa_i00, d38_aofa_i00)).
thf(d41_aofa_i00, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  ( (v2_aofa_i00 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) ) )  =>  (! [B: $i] :  ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_card_3 @ B) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) ) )  =>  (! [D: $i] :  ( ( ( ( ( (v1_aofa_i00 @ D)  @ A)  @ B)  @ C)  &  ( ( ( (m1_aofa_000 @ D)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C) )  =>  (! [E: $i] :  ( ( (m1_subset_1 @ E)  @ B)  =>  (! [F: $i] :  ( ( ( ( ( (m3_aofa_i00 @ F)  @ A)  @ B)  @ C)  @ D)  =>  ( (= @  ( ( ( ( ( (k47_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E)  @ F) )  @  ( ( ( ( ( (k44_aofa_i00 @ A)  @ B)  @ C)  @ D)  @  ( ( ( ( (k41_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E) )  @ F) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(aofa_i00, d41_aofa_i00)).
thf(d51_aofa_i00, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  ( (v2_aofa_i00 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) ) )  =>  (! [B: $i] :  ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_card_3 @ B) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) ) )  =>  (! [D: $i] :  ( ( ( ( ( (v1_aofa_i00 @ D)  @ A)  @ B)  @ C)  &  ( ( ( (m1_aofa_000 @ D)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C) )  =>  (! [E: $i] :  ( ( ( ( ( (m1_aofa_i00 @ E)  @ B)  @  (u1_struct_0 @ A) )  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ D)  =>  (! [F: $i] :  ( (v1_int_1 @ F)  =>  ( (= @  ( ( ( ( ( (k57_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E)  @ F) )  @  ( ( ( ( ( (k47_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E)  @  ( ( ( ( ( (k29_aofa_i00 @ A)  @ B)  @ C)  @ D)  @  ( ( ( ( (k42_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E) )  @ F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(aofa_i00, d51_aofa_i00)).
thf(d5_tarski, axiom,  (! [A: $i] :  (! [B: $i] :  ( (= @  ( (k4_tarski @ A)  @ B) )  @  ( (k2_tarski @  ( (k2_tarski @ A)  @ B) )  @  (k1_tarski @ A) ) ) ) ) , file(tarski, d5_tarski)).
thf(d61_aofa_i00, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  ( (v2_aofa_i00 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) ) )  =>  (! [B: $i] :  ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_card_3 @ B) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @ B)  =>  (! [D: $i] :  ( ( ( ( ( (v1_aofa_i00 @ D)  @ A)  @ B)  @  ( ( (k1_aofa_i00 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C)  @ k6_numbers) )  &  ( ( ( (m1_aofa_000 @ D)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @  ( ( (k1_aofa_i00 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C)  @ k6_numbers) ) )  =>  (! [E: $i] :  ( ( ( ( ( (m3_aofa_i00 @ E)  @ A)  @ B)  @  ( ( (k1_aofa_i00 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C)  @ k6_numbers) )  @ D)  =>  (! [F: $i] :  ( ( ( ( ( (m3_aofa_i00 @ F)  @ A)  @ B)  @  ( ( (k1_aofa_i00 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C)  @ k6_numbers) )  @ D)  =>  ( (= @  ( ( ( ( ( (k67_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E)  @ F) )  @  ( ( ( ( ( (k47_aofa_i00 @ A)  @ B)  @  ( ( (k1_aofa_i00 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C)  @ k6_numbers) )  @ D)  @ C)  @  ( ( ( ( ( (k37_aofa_i00 @ A)  @ B)  @  ( ( (k1_aofa_i00 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C)  @ k6_numbers) )  @ D)  @ E)  @ F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(aofa_i00, d61_aofa_i00)).
thf(d68_aofa_i00, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  ( (v2_aofa_i00 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) ) )  =>  (! [B: $i] :  ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_card_3 @ B) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @ B)  =>  (! [D: $i] :  ( ( ( ( ( (v1_aofa_i00 @ D)  @ A)  @ B)  @  ( ( (k1_aofa_i00 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C)  @ k6_numbers) )  &  ( ( ( (m1_aofa_000 @ D)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @  ( ( (k1_aofa_i00 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C)  @ k6_numbers) ) )  =>  (! [E: $i] :  ( ( ( ( ( (m1_aofa_i00 @ E)  @ B)  @  (u1_struct_0 @ A) )  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ D)  =>  (! [F: $i] :  ( ( ( ( ( (m1_aofa_i00 @ F)  @ B)  @  (u1_struct_0 @ A) )  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ D)  =>  ( (= @  ( ( ( ( ( (k74_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E)  @ F) )  @  ( ( ( ( ( (k67_aofa_i00 @ A)  @ B)  @ C)  @ D)  @  ( ( ( ( (k42_aofa_i00 @ A)  @ B)  @  ( ( (k1_aofa_i00 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C)  @ k6_numbers) )  @ D)  @ E) )  @  ( ( ( ( (k42_aofa_i00 @ A)  @ B)  @  ( ( (k1_aofa_i00 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C)  @ k6_numbers) )  @ D)  @ F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(aofa_i00, d68_aofa_i00)).
thf(d8_xcmplx_0, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  (! [B: $i] :  ( (v1_xcmplx_0 @ B)  =>  ( (= @  ( (k6_xcmplx_0 @ A)  @ B) )  @  ( (k2_xcmplx_0 @ A)  @  (k4_xcmplx_0 @ B) ) ) ) ) ) ) , file(xcmplx_0, d8_xcmplx_0)).
thf(d9_xcmplx_0, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  (! [B: $i] :  ( (v1_xcmplx_0 @ B)  =>  ( (= @  ( (k7_xcmplx_0 @ A)  @ B) )  @  ( (k3_xcmplx_0 @ A)  @  (k5_xcmplx_0 @ B) ) ) ) ) ) ) , file(xcmplx_0, d9_xcmplx_0)).
thf(dt_f10_s2_aofa_i00, axiom,  ( ( ( ( (m3_aofa_i00 @ f10_s2_aofa_i00)  @ f1_s2_aofa_i00)  @ f2_s2_aofa_i00)  @  ( ( (k1_aofa_i00 @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @ f3_s2_aofa_i00)  @ k6_numbers) )  @ f6_s2_aofa_i00) , file(aofa_i00, f10_s2_aofa_i00)).
thf(dt_f1_s2_aofa_i00, axiom,  ( ~ ( (v2_struct_0 @ f1_s2_aofa_i00) )  &  ( (v2_unialg_1 @ f1_s2_aofa_i00)  &  ( (v3_unialg_1 @ f1_s2_aofa_i00)  &  ( (v4_unialg_1 @ f1_s2_aofa_i00)  &  ( (v3_aofa_000 @ f1_s2_aofa_i00)  &  ( (v4_aofa_000 @ f1_s2_aofa_i00)  &  ( (v5_aofa_000 @ f1_s2_aofa_i00)  &  ( (v6_aofa_000 @ f1_s2_aofa_i00)  &  ( (v2_aofa_i00 @ f1_s2_aofa_i00)  &  (l1_unialg_1 @ f1_s2_aofa_i00) ) ) ) ) ) ) ) ) ) , file(aofa_i00, f1_s2_aofa_i00)).
thf(dt_f2_s2_aofa_i00, axiom,  ( ~ ( (v1_xboole_0 @ f2_s2_aofa_i00) )  &  (v4_card_3 @ f2_s2_aofa_i00) ) , file(aofa_i00, f2_s2_aofa_i00)).
thf(dt_f3_s2_aofa_i00, axiom,  ( (m1_subset_1 @ f3_s2_aofa_i00)  @ f2_s2_aofa_i00) , file(aofa_i00, f3_s2_aofa_i00)).
thf(dt_f4_s2_aofa_i00, axiom,  ( (m1_subset_1 @ f4_s2_aofa_i00)  @  (u1_struct_0 @ f1_s2_aofa_i00) ) , file(aofa_i00, f4_s2_aofa_i00)).
thf(dt_f5_s2_aofa_i00, axiom,  ( (m1_subset_1 @ f5_s2_aofa_i00)  @  (u1_struct_0 @ f1_s2_aofa_i00) ) , file(aofa_i00, f5_s2_aofa_i00)).
thf(dt_f6_s2_aofa_i00, axiom,  ( ( ( ( (v1_aofa_i00 @ f6_s2_aofa_i00)  @ f1_s2_aofa_i00)  @ f2_s2_aofa_i00)  @  ( ( (k1_aofa_i00 @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @ f3_s2_aofa_i00)  @ k6_numbers) )  &  ( ( ( (m1_aofa_000 @ f6_s2_aofa_i00)  @ f1_s2_aofa_i00)  @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @  ( ( (k1_aofa_i00 @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @ f3_s2_aofa_i00)  @ k6_numbers) ) ) , file(aofa_i00, f6_s2_aofa_i00)).
thf(dt_f7_s2_aofa_i00, axiom,  ( ( ( ( (m1_aofa_i00 @ f7_s2_aofa_i00)  @ f2_s2_aofa_i00)  @  (u1_struct_0 @ f1_s2_aofa_i00) )  @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @ f6_s2_aofa_i00) , file(aofa_i00, f7_s2_aofa_i00)).
thf(dt_f8_s2_aofa_i00, axiom,  ( ( ( ( (m1_aofa_i00 @ f8_s2_aofa_i00)  @ f2_s2_aofa_i00)  @  (u1_struct_0 @ f1_s2_aofa_i00) )  @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @ f6_s2_aofa_i00) , file(aofa_i00, f8_s2_aofa_i00)).
thf(dt_f9_s2_aofa_i00, axiom,  ( ( ( (m2_funct_2 @ f9_s2_aofa_i00)  @ f2_s2_aofa_i00)  @ k4_numbers)  @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) ) , file(aofa_i00, f9_s2_aofa_i00)).
thf(dt_k10_finseq_1, axiom, $true, file(finseq_1, k10_finseq_1)).
thf(dt_k10_subset_1, axiom,  (! [A: $i] :  ( (m1_subset_1 @  (k10_subset_1 @ A) )  @ A) ) , file(subset_1, k10_subset_1)).
thf(dt_k10_xtuple_0, axiom, $true, file(xtuple_0, k10_xtuple_0)).
thf(dt_k12_aofa_000, axiom,  (! [A: $i] :  ( ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  (l1_unialg_1 @ A) ) )  =>  ( (m1_subset_1 @  (k12_aofa_000 @ A) )  @  (u1_struct_0 @ A) ) ) ) , file(aofa_000, k12_aofa_000)).
thf(dt_k13_aofa_000, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v4_unialg_1 @ A)  &  ( (v4_aofa_000 @ A)  &  (l1_unialg_1 @ A) ) )  &  ( ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (m1_subset_1 @ C)  @  (u1_struct_0 @ A) ) ) )  =>  ( (m1_subset_1 @  ( ( (k13_aofa_000 @ A)  @ B)  @ C) )  @  (u1_struct_0 @ A) ) ) ) , file(aofa_000, k13_aofa_000)).
thf(dt_k13_finseq_1, axiom, $true, file(finseq_1, k13_finseq_1)).
thf(dt_k15_funct_7, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ A)  @ B)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  ( (m1_subset_1 @ E)  @ B) )  =>  ( (v1_funct_1 @  ( ( ( ( (k15_funct_7 @ A)  @ B)  @ C)  @ D)  @ E) )  &  ( ( ( (v1_funct_2 @  ( ( ( ( (k15_funct_7 @ A)  @ B)  @ C)  @ D)  @ E) )  @ A)  @ B)  &  ( (m1_subset_1 @  ( ( ( ( (k15_funct_7 @ A)  @ B)  @ C)  @ D)  @ E) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) ) ) ) , file(funct_7, k15_funct_7)).
thf(dt_k16_aofa_000, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v4_unialg_1 @ A)  &  ( (v6_aofa_000 @ A)  &  (l1_unialg_1 @ A) ) )  &  ( ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (m1_subset_1 @ C)  @  (u1_struct_0 @ A) ) ) )  =>  ( (m1_subset_1 @  ( ( (k16_aofa_000 @ A)  @ B)  @ C) )  @  (u1_struct_0 @ A) ) ) ) , file(aofa_000, k16_aofa_000)).
thf(dt_k17_aofa_000, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) )  &  ( ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) )  &  ( ( (m1_subset_1 @ C)  @  (u1_struct_0 @ A) )  &  ( ( (m1_subset_1 @ D)  @  (u1_struct_0 @ A) )  &  ( (m1_subset_1 @ E)  @  (u1_struct_0 @ A) ) ) ) ) )  =>  ( (m1_subset_1 @  ( ( ( ( (k17_aofa_000 @ A)  @ B)  @ C)  @ D)  @ E) )  @  (u1_struct_0 @ A) ) ) ) , file(aofa_000, k17_aofa_000)).
thf(dt_k18_aofa_000, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) )  =>  ( (m1_subset_1 @  (k18_aofa_000 @ A) )  @  (k1_zfmisc_1 @  (u1_struct_0 @ A) ) ) ) ) , file(aofa_000, k18_aofa_000)).
thf(dt_k1_aofa_i00, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v4_funct_1 @ A) )  =>  ( (m1_subset_1 @  ( ( (k1_aofa_i00 @ A)  @ B)  @ C) )  @  (k1_zfmisc_1 @ A) ) ) ) , file(aofa_i00, k1_aofa_i00)).
thf(dt_k1_binop_1, axiom, $true, file(binop_1, k1_binop_1)).
thf(dt_k1_funct_1, axiom, $true, file(funct_1, k1_funct_1)).
thf(dt_k1_funct_2, axiom, $true, file(funct_2, k1_funct_2)).
thf(dt_k1_funct_7, axiom,  (! [A: $i, B: $i] :  ( (m1_subset_1 @  ( (k1_funct_7 @ A)  @ B) )  @ B) ) , file(funct_7, k1_funct_7)).
thf(dt_k1_nat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v7_ordinal1 @ A)  &  ( (m1_subset_1 @ B)  @ k5_numbers) )  =>  ( ( (m2_subset_1 @  ( (k1_nat_1 @ A)  @ B) )  @ k1_numbers)  @ k5_numbers) ) ) , file(nat_1, k1_nat_1)).
thf(dt_k1_numbers, axiom, $true, file(numbers, k1_numbers)).
thf(dt_k1_pua2mss1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (m1_finseq_1 @ B)  @  ( (k4_partfun1 @  (k3_finseq_2 @ A) )  @ A) ) )  =>  ( (m1_subset_1 @  ( (k1_pua2mss1 @ A)  @ B) )  @  (k1_zfmisc_1 @  ( (k4_partfun1 @  (k3_finseq_2 @ A) )  @ A) ) ) ) ) , file(pua2mss1, k1_pua2mss1)).
thf(dt_k1_tarski, axiom, $true, file(tarski, k1_tarski)).
thf(dt_k1_xboole_0, axiom, $true, file(xboole_0, k1_xboole_0)).
thf(dt_k1_zfmisc_1, axiom, $true, file(zfmisc_1, k1_zfmisc_1)).
thf(dt_k21_aofa_i00, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( ( (m1_subset_1 @ C)  @  ( (k9_funct_2 @ A)  @ B) )  &  ( (m1_subset_1 @ D)  @ A) ) ) )  =>  ( (m1_subset_1 @  ( ( ( (k21_aofa_i00 @ A)  @ B)  @ C)  @ D) )  @ B) ) ) , file(aofa_i00, k21_aofa_i00)).
thf(dt_k23_aofa_i00, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( ( ( (v1_funct_2 @ B)  @  ( (k9_funct_2 @ A)  @ k4_numbers) )  @ A)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k9_funct_2 @ A)  @ k4_numbers) )  @ A) ) ) ) ) )  =>  ( (v1_funct_1 @  ( (k23_aofa_i00 @ A)  @ B) )  &  ( ( ( (v1_funct_2 @  ( (k23_aofa_i00 @ A)  @ B) )  @  ( (k9_funct_2 @ A)  @ k4_numbers) )  @ k4_numbers)  &  ( (m1_subset_1 @  ( (k23_aofa_i00 @ A)  @ B) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k9_funct_2 @ A)  @ k4_numbers) )  @ k4_numbers) ) ) ) ) ) ) , file(aofa_i00, k23_aofa_i00)).
thf(dt_k24_aofa_i00, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (m1_subset_1 @ B)  @ A) )  =>  ( (v1_funct_1 @  ( (k24_aofa_i00 @ A)  @ B) )  &  ( ( ( (v1_funct_2 @  ( (k24_aofa_i00 @ A)  @ B) )  @  ( (k9_funct_2 @ A)  @ k4_numbers) )  @ A)  &  ( (m1_subset_1 @  ( (k24_aofa_i00 @ A)  @ B) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k9_funct_2 @ A)  @ k4_numbers) )  @ A) ) ) ) ) ) ) , file(aofa_i00, k24_aofa_i00)).
thf(dt_k29_aofa_i00, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  ( (v2_aofa_i00 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) ) )  &  ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_card_3 @ B) )  &  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) ) )  &  ( ( ( ( ( (v1_aofa_i00 @ D)  @ A)  @ B)  @ C)  &  ( ( ( (m1_aofa_000 @ D)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C) )  &  ( ( ( ( ( (m3_aofa_i00 @ E)  @ A)  @ B)  @ C)  @ D)  &  (v1_int_1 @ F) ) ) ) ) )  =>  ( ( ( ( (m3_aofa_i00 @  ( ( ( ( ( (k29_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E)  @ F) )  @ A)  @ B)  @ C)  @ D) ) ) , file(aofa_i00, k29_aofa_i00)).
thf(dt_k2_binop_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @  ( (k2_zfmisc_1 @ A)  @ B) )  @ C)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) )  @ C) ) ) ) )  &  ( ( (m1_subset_1 @ E)  @ A)  &  ( (m1_subset_1 @ F)  @ B) ) ) ) )  =>  ( (m1_subset_1 @  ( ( ( ( ( (k2_binop_1 @ A)  @ B)  @ C)  @ D)  @ E)  @ F) )  @ C) ) ) , file(binop_1, k2_binop_1)).
thf(dt_k2_finseq_4, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ( (m1_subset_1 @ B)  @ A)  &  ( (m1_subset_1 @ C)  @ A) ) )  =>  ( (m2_finseq_1 @  ( ( (k2_finseq_4 @ A)  @ B)  @ C) )  @ A) ) ) , file(finseq_4, k2_finseq_4)).
thf(dt_k2_funcop_1, axiom, $true, file(funcop_1, k2_funcop_1)).
thf(dt_k2_funct_7, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) )  =>  ( (v1_relat_1 @  ( ( (k2_funct_7 @ A)  @ B)  @ C) )  &  (v1_funct_1 @  ( ( (k2_funct_7 @ A)  @ B)  @ C) ) ) ) ) , file(funct_7, k2_funct_7)).
thf(dt_k2_nat_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (m1_subset_1 @ A)  @ k5_numbers)  &  (v7_ordinal1 @ B) )  =>  ( ( (m2_subset_1 @  ( (k2_nat_1 @ A)  @ B) )  @ k1_numbers)  @ k5_numbers) ) ) , file(nat_1, k2_nat_1)).
thf(dt_k2_pua2mss1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v4_unialg_1 @ A)  &  (l1_unialg_1 @ A) )  &  ( (m1_subset_1 @ B)  @  (k4_finseq_1 @  (u1_unialg_1 @ A) ) ) )  =>  ( ( ( (m1_pua2mss1 @  ( (k2_pua2mss1 @ A)  @ B) )  @  (k3_finseq_2 @  (u1_struct_0 @ A) ) )  @  (u1_struct_0 @ A) )  @  ( (k1_pua2mss1 @  (u1_struct_0 @ A) )  @  (u1_unialg_1 @ A) ) ) ) ) , file(pua2mss1, k2_pua2mss1)).
thf(dt_k2_relset_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v5_relat_1 @ B)  @ A) )  =>  ( (m1_subset_1 @  ( (k2_relset_1 @ A)  @ B) )  @  (k1_zfmisc_1 @ A) ) ) ) , file(relset_1, k2_relset_1)).
thf(dt_k2_tarski, axiom, $true, file(tarski, k2_tarski)).
thf(dt_k2_xcmplx_0, axiom, $true, file(xcmplx_0, k2_xcmplx_0)).
thf(dt_k2_zfmisc_1, axiom, $true, file(zfmisc_1, k2_zfmisc_1)).
thf(dt_k37_aofa_i00, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  ( (v2_aofa_i00 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) ) )  &  ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_card_3 @ B) )  &  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) ) )  &  ( ( ( ( ( (v1_aofa_i00 @ D)  @ A)  @ B)  @ C)  &  ( ( ( (m1_aofa_000 @ D)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C) )  &  ( ( ( ( ( (m3_aofa_i00 @ E)  @ A)  @ B)  @ C)  @ D)  &  ( ( ( ( (m3_aofa_i00 @ F)  @ A)  @ B)  @ C)  @ D) ) ) ) ) )  =>  ( ( ( ( (m3_aofa_i00 @  ( ( ( ( ( (k37_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E)  @ F) )  @ A)  @ B)  @ C)  @ D) ) ) , file(aofa_i00, k37_aofa_i00)).
thf(dt_k3_finseq_2, axiom,  (! [A: $i] :  ( (m1_finseq_2 @  (k3_finseq_2 @ A) )  @ A) ) , file(finseq_2, k3_finseq_2)).
thf(dt_k3_funct_2, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ A)  @ B)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  ( (m1_subset_1 @ D)  @ A) ) )  =>  ( (m1_subset_1 @  ( ( ( (k3_funct_2 @ A)  @ B)  @ C)  @ D) )  @ B) ) ) , file(funct_2, k3_funct_2)).
thf(dt_k3_numbers, axiom, $true, file(numbers, k3_numbers)).
thf(dt_k3_real_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xreal_0 @ A)  &  ( (m1_subset_1 @ B)  @ k1_numbers) )  =>  ( (m1_subset_1 @  ( (k3_real_1 @ A)  @ B) )  @ k1_numbers) ) ) , file(real_1, k3_real_1)).
thf(dt_k3_xcmplx_0, axiom, $true, file(xcmplx_0, k3_xcmplx_0)).
thf(dt_k40_aofa_i00, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  ( (v2_aofa_i00 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) ) )  &  ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_card_3 @ B) )  &  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) ) )  &  ( ( ( ( ( (v1_aofa_i00 @ D)  @ A)  @ B)  @ C)  &  ( ( ( (m1_aofa_000 @ D)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C) )  &  ( ( ( ( (m2_aofa_i00 @ E)  @ A)  @ B)  @ C)  @ D) ) ) ) )  =>  ( ( ( ( (m3_aofa_i00 @  ( ( ( ( (k40_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E) )  @ A)  @ B)  @ C)  @ D) ) ) , file(aofa_i00, k40_aofa_i00)).
thf(dt_k41_aofa_i00, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  ( (v2_aofa_i00 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) ) )  &  ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_card_3 @ B) )  &  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) ) )  &  ( ( ( ( ( (v1_aofa_i00 @ D)  @ A)  @ B)  @ C)  &  ( ( ( (m1_aofa_000 @ D)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C) )  &  ( (m1_subset_1 @ E)  @ B) ) ) ) )  =>  ( ( ( ( (m2_aofa_i00 @  ( ( ( ( (k41_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E) )  @ A)  @ B)  @ C)  @ D) ) ) , file(aofa_i00, k41_aofa_i00)).
thf(dt_k42_aofa_i00, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  ( (v2_aofa_i00 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) ) )  &  ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_card_3 @ B) )  &  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) ) )  &  ( ( ( ( ( (v1_aofa_i00 @ D)  @ A)  @ B)  @ C)  &  ( ( ( (m1_aofa_000 @ D)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C) )  &  ( ( ( ( (m1_aofa_i00 @ E)  @ B)  @  (u1_struct_0 @ A) )  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ D) ) ) ) )  =>  ( ( ( ( (m3_aofa_i00 @  ( ( ( ( (k42_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E) )  @ A)  @ B)  @ C)  @ D) ) ) , file(aofa_i00, k42_aofa_i00)).
thf(dt_k44_aofa_i00, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  ( (v2_aofa_i00 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) ) )  &  ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_card_3 @ B) )  &  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) ) )  &  ( ( ( ( ( (v1_aofa_i00 @ D)  @ A)  @ B)  @ C)  &  ( ( ( (m1_aofa_000 @ D)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C) )  &  ( ( ( ( ( (m2_aofa_i00 @ E)  @ A)  @ B)  @ C)  @ D)  &  ( ( ( ( (m3_aofa_i00 @ F)  @ A)  @ B)  @ C)  @ D) ) ) ) ) )  =>  ( (m1_subset_1 @  ( ( ( ( ( (k44_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E)  @ F) )  @  (u1_struct_0 @ A) ) ) ) , file(aofa_i00, k44_aofa_i00)).
thf(dt_k47_aofa_i00, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  ( (v2_aofa_i00 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) ) )  &  ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_card_3 @ B) )  &  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) ) )  &  ( ( ( ( ( (v1_aofa_i00 @ D)  @ A)  @ B)  @ C)  &  ( ( ( (m1_aofa_000 @ D)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C) )  &  ( ( (m1_subset_1 @ E)  @ B)  &  ( ( ( ( (m3_aofa_i00 @ F)  @ A)  @ B)  @ C)  @ D) ) ) ) ) )  =>  ( ( (v15_aofa_000 @  ( ( ( ( ( (k47_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E)  @ F) )  @ A)  &  ( (m1_subset_1 @  ( ( ( ( ( (k47_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E)  @ F) )  @  (u1_struct_0 @ A) ) ) ) ) , file(aofa_i00, k47_aofa_i00)).
thf(dt_k4_aofa_i00, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( ( (v5_relat_1 @ A)  @ k4_numbers)  &  (v1_funct_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( ( (v5_relat_1 @ B)  @ k4_numbers)  &  (v1_funct_1 @ B) ) ) )  =>  ( (v1_relat_1 @  ( (k4_aofa_i00 @ A)  @ B) )  &  ( ( (v5_relat_1 @  ( (k4_aofa_i00 @ A)  @ B) )  @ k4_numbers)  &  (v1_funct_1 @  ( (k4_aofa_i00 @ A)  @ B) ) ) ) ) ) , file(aofa_i00, k4_aofa_i00)).
thf(dt_k4_finseq_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) )  =>  ( (m1_subset_1 @  (k4_finseq_1 @ A) )  @  (k1_zfmisc_1 @ k5_numbers) ) ) ) , file(finseq_1, k4_finseq_1)).
thf(dt_k4_numbers, axiom, $true, file(numbers, k4_numbers)).
thf(dt_k4_ordinal1, axiom, $true, file(ordinal1, k4_ordinal1)).
thf(dt_k4_partfun1, axiom, $true, file(partfun1, k4_partfun1)).
thf(dt_k4_tarski, axiom, $true, file(tarski, k4_tarski)).
thf(dt_k4_xboole_0, axiom, $true, file(xboole_0, k4_xboole_0)).
thf(dt_k4_xcmplx_0, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  (v1_xcmplx_0 @  (k4_xcmplx_0 @ A) ) ) ) , file(xcmplx_0, k4_xcmplx_0)).
thf(dt_k57_aofa_i00, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  ( (v2_aofa_i00 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) ) )  &  ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_card_3 @ B) )  &  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) ) )  &  ( ( ( ( ( (v1_aofa_i00 @ D)  @ A)  @ B)  @ C)  &  ( ( ( (m1_aofa_000 @ D)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C) )  &  ( ( ( ( ( (m1_aofa_i00 @ E)  @ B)  @  (u1_struct_0 @ A) )  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ D)  &  (v1_int_1 @ F) ) ) ) ) )  =>  ( ( (v15_aofa_000 @  ( ( ( ( ( (k57_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E)  @ F) )  @ A)  &  ( (m1_subset_1 @  ( ( ( ( ( (k57_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E)  @ F) )  @  (u1_struct_0 @ A) ) ) ) ) , file(aofa_i00, k57_aofa_i00)).
thf(dt_k5_numbers, axiom,  ( (m1_subset_1 @ k5_numbers)  @  (k1_zfmisc_1 @ k1_numbers) ) , file(numbers, k5_numbers)).
thf(dt_k5_xcmplx_0, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  (v1_xcmplx_0 @  (k5_xcmplx_0 @ A) ) ) ) , file(xcmplx_0, k5_xcmplx_0)).
thf(dt_k67_aofa_i00, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  ( (v2_aofa_i00 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) ) )  &  ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_card_3 @ B) )  &  ( ( (m1_subset_1 @ C)  @ B)  &  ( ( ( ( ( (v1_aofa_i00 @ D)  @ A)  @ B)  @  ( ( (k1_aofa_i00 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C)  @ k6_numbers) )  &  ( ( ( (m1_aofa_000 @ D)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @  ( ( (k1_aofa_i00 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C)  @ k6_numbers) ) )  &  ( ( ( ( ( (m3_aofa_i00 @ E)  @ A)  @ B)  @  ( ( (k1_aofa_i00 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C)  @ k6_numbers) )  @ D)  &  ( ( ( ( (m3_aofa_i00 @ F)  @ A)  @ B)  @  ( ( (k1_aofa_i00 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C)  @ k6_numbers) )  @ D) ) ) ) ) )  =>  ( ( (v15_aofa_000 @  ( ( ( ( ( (k67_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E)  @ F) )  @ A)  &  ( (m1_subset_1 @  ( ( ( ( ( (k67_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E)  @ F) )  @  (u1_struct_0 @ A) ) ) ) ) , file(aofa_i00, k67_aofa_i00)).
thf(dt_k6_numbers, axiom,  ( ( (m2_subset_1 @ k6_numbers)  @ k1_numbers)  @ k5_numbers) , file(numbers, k6_numbers)).
thf(dt_k6_subset_1, axiom,  (! [A: $i, B: $i] :  ( (m1_subset_1 @  ( (k6_subset_1 @ A)  @ B) )  @  (k1_zfmisc_1 @ A) ) ) , file(subset_1, k6_subset_1)).
thf(dt_k6_xcmplx_0, axiom, $true, file(xcmplx_0, k6_xcmplx_0)).
thf(dt_k74_aofa_i00, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  ( (v2_aofa_i00 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) ) )  &  ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_card_3 @ B) )  &  ( ( (m1_subset_1 @ C)  @ B)  &  ( ( ( ( ( (v1_aofa_i00 @ D)  @ A)  @ B)  @  ( ( (k1_aofa_i00 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C)  @ k6_numbers) )  &  ( ( ( (m1_aofa_000 @ D)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @  ( ( (k1_aofa_i00 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C)  @ k6_numbers) ) )  &  ( ( ( ( ( (m1_aofa_i00 @ E)  @ B)  @  (u1_struct_0 @ A) )  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ D)  &  ( ( ( ( (m1_aofa_i00 @ F)  @ B)  @  (u1_struct_0 @ A) )  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ D) ) ) ) ) )  =>  ( ( (v15_aofa_000 @  ( ( ( ( ( (k74_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E)  @ F) )  @ A)  &  ( (m1_subset_1 @  ( ( ( ( ( (k74_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E)  @ F) )  @  (u1_struct_0 @ A) ) ) ) ) , file(aofa_i00, k74_aofa_i00)).
thf(dt_k7_subset_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  ( (m1_subset_1 @  ( ( (k7_subset_1 @ A)  @ B)  @ C) )  @  (k1_zfmisc_1 @ A) ) ) ) , file(subset_1, k7_subset_1)).
thf(dt_k7_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_valued_0 @ A) ) )  &  (v1_xcmplx_0 @ B) )  =>  ( (v1_relat_1 @  ( (k7_valued_1 @ A)  @ B) )  &  (v1_funct_1 @  ( (k7_valued_1 @ A)  @ B) ) ) ) ) , file(valued_1, k7_valued_1)).
thf(dt_k7_xcmplx_0, axiom, $true, file(xcmplx_0, k7_xcmplx_0)).
thf(dt_k8_funcop_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (m1_subset_1 @ C)  @ A) )  =>  ( (v1_funct_1 @  ( ( (k8_funcop_1 @ A)  @ B)  @ C) )  &  ( ( ( (v1_funct_2 @  ( ( (k8_funcop_1 @ A)  @ B)  @ C) )  @ B)  @ A)  &  ( (m1_subset_1 @  ( ( (k8_funcop_1 @ A)  @ B)  @ C) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ B)  @ A) ) ) ) ) ) ) , file(funcop_1, k8_funcop_1)).
thf(dt_k9_funct_2, axiom,  (! [A: $i, B: $i] :  ( ~ ( (v1_xboole_0 @ B) )  =>  ( ( (m1_funct_2 @  ( (k9_funct_2 @ A)  @ B) )  @ A)  @ B) ) ) , file(funct_2, k9_funct_2)).
thf(dt_k9_xtuple_0, axiom, $true, file(xtuple_0, k9_xtuple_0)).
thf(dt_l1_struct_0, axiom, $true, file(struct_0, l1_struct_0)).
thf(dt_l1_unialg_1, axiom,  (! [A: $i] :  ( (l1_unialg_1 @ A)  =>  (l1_struct_0 @ A) ) ) , file(unialg_1, l1_unialg_1)).
thf(dt_m1_aofa_000, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @ B) ) ) )  =>  (! [D: $i] :  ( ( ( ( (m1_aofa_000 @ D)  @ A)  @ B)  @ C)  =>  ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @  ( (k2_zfmisc_1 @ B)  @  (u1_struct_0 @ A) ) )  @ B)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ B)  @  (u1_struct_0 @ A) ) )  @ B) ) ) ) ) ) ) ) ) , file(aofa_000, m1_aofa_000)).
thf(dt_m1_aofa_i00, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @  ( (k2_zfmisc_1 @  ( (k9_funct_2 @ A)  @ k4_numbers) )  @ B) )  @ C)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k9_funct_2 @ A)  @ k4_numbers) )  @ B) )  @ C) ) ) ) )  =>  (! [E: $i] :  ( ( ( ( ( (m1_aofa_i00 @ E)  @ A)  @ B)  @ C)  @ D)  =>  ( (m1_subset_1 @ E)  @ A) ) ) ) ) , file(aofa_i00, m1_aofa_i00)).
thf(dt_m1_finseq_1, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (m1_finseq_1 @ B)  @ A)  =>  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v1_finseq_1 @ B) ) ) ) ) ) , file(finseq_1, m1_finseq_1)).
thf(dt_m1_finseq_2, axiom, $true, file(finseq_2, m1_finseq_2)).
thf(dt_m1_funct_2, axiom,  (! [A: $i, B: $i] :  (! [C: $i] :  ( ( ( (m1_funct_2 @ C)  @ A)  @ B)  =>  ~ ( (v1_xboole_0 @ C) ) ) ) ) , file(funct_2, m1_funct_2)).
thf(dt_m1_pua2mss1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( ~ ( (v1_xboole_0 @ C) )  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k4_partfun1 @ A)  @ B) ) ) ) ) )  =>  (! [D: $i] :  ( ( ( ( (m1_pua2mss1 @ D)  @ A)  @ B)  @ C)  =>  ( (v1_funct_1 @ D)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) ) ) ) ) , file(pua2mss1, m1_pua2mss1)).
thf(dt_m1_subset_1, axiom, $true, file(subset_1, m1_subset_1)).
thf(dt_m2_aofa_i00, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) ) )  &  ( ( ( (m1_aofa_000 @ D)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C) ) ) )  =>  (! [E: $i] :  ( ( ( ( ( (m2_aofa_i00 @ E)  @ A)  @ B)  @ C)  @ D)  =>  ( (v1_funct_1 @ E)  &  ( ( ( (v1_funct_2 @ E)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ B)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ B) ) ) ) ) ) ) ) ) , file(aofa_i00, m2_aofa_i00)).
thf(dt_m2_finseq_1, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (m2_finseq_1 @ B)  @ A)  =>  ( (v1_funct_1 @ B)  &  ( (v1_finseq_1 @ B)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k5_numbers)  @ A) ) ) ) ) ) ) ) , file(finseq_1, m2_finseq_1)).
thf(dt_m2_funct_2, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ B) )  &  ( ( (m1_funct_2 @ C)  @ A)  @ B) )  =>  (! [D: $i] :  ( ( ( ( (m2_funct_2 @ D)  @ A)  @ B)  @ C)  =>  ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @ A)  @ B)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) ) ) ) ) ) , file(funct_2, m2_funct_2)).
thf(dt_m2_subset_1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) ) ) )  =>  (! [C: $i] :  ( ( ( (m2_subset_1 @ C)  @ A)  @ B)  =>  ( (m1_subset_1 @ C)  @ A) ) ) ) ) , file(subset_1, m2_subset_1)).
thf(dt_m3_aofa_i00, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) ) )  &  ( ( ( (m1_aofa_000 @ D)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C) ) ) )  =>  (! [E: $i] :  ( ( ( ( ( (m3_aofa_i00 @ E)  @ A)  @ B)  @ C)  @ D)  =>  ( (v1_funct_1 @ E)  &  ( ( ( (v1_funct_2 @ E)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ k4_numbers)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ k4_numbers) ) ) ) ) ) ) ) ) , file(aofa_i00, m3_aofa_i00)).
thf(dt_u1_struct_0, axiom, $true, file(struct_0, u1_struct_0)).
thf(dt_u1_unialg_1, axiom,  (! [A: $i] :  ( (l1_unialg_1 @ A)  =>  ( (m2_finseq_1 @  (u1_unialg_1 @ A) )  @  ( (k4_partfun1 @  (k3_finseq_2 @  (u1_struct_0 @ A) ) )  @  (u1_struct_0 @ A) ) ) ) ) , file(unialg_1, u1_unialg_1)).
thf(existence_l1_struct_0, axiom,  (? [A: $i] :  (l1_struct_0 @ A) ) , file(struct_0, l1_struct_0)).
thf(existence_l1_unialg_1, axiom,  (? [A: $i] :  (l1_unialg_1 @ A) ) , file(unialg_1, l1_unialg_1)).
thf(existence_m1_aofa_000, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @ B) ) ) )  =>  (? [D: $i] :  ( ( ( (m1_aofa_000 @ D)  @ A)  @ B)  @ C) ) ) ) , file(aofa_000, m1_aofa_000)).
thf(existence_m1_aofa_i00, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @  ( (k2_zfmisc_1 @  ( (k9_funct_2 @ A)  @ k4_numbers) )  @ B) )  @ C)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k9_funct_2 @ A)  @ k4_numbers) )  @ B) )  @ C) ) ) ) )  =>  (? [E: $i] :  ( ( ( ( (m1_aofa_i00 @ E)  @ A)  @ B)  @ C)  @ D) ) ) ) , file(aofa_i00, m1_aofa_i00)).
thf(existence_m1_finseq_1, axiom,  (! [A: $i] :  (? [B: $i] :  ( (m1_finseq_1 @ B)  @ A) ) ) , file(finseq_1, m1_finseq_1)).
thf(existence_m1_finseq_2, axiom,  (! [A: $i] :  (? [B: $i] :  ( (m1_finseq_2 @ B)  @ A) ) ) , file(finseq_2, m1_finseq_2)).
thf(existence_m1_funct_2, axiom,  (! [A: $i, B: $i] :  (? [C: $i] :  ( ( (m1_funct_2 @ C)  @ A)  @ B) ) ) , file(funct_2, m1_funct_2)).
thf(existence_m1_pua2mss1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( ~ ( (v1_xboole_0 @ C) )  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k4_partfun1 @ A)  @ B) ) ) ) ) )  =>  (? [D: $i] :  ( ( ( (m1_pua2mss1 @ D)  @ A)  @ B)  @ C) ) ) ) , file(pua2mss1, m1_pua2mss1)).
thf(existence_m1_subset_1, axiom,  (! [A: $i] :  (? [B: $i] :  ( (m1_subset_1 @ B)  @ A) ) ) , file(subset_1, m1_subset_1)).
thf(existence_m2_aofa_i00, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) ) )  &  ( ( ( (m1_aofa_000 @ D)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C) ) ) )  =>  (? [E: $i] :  ( ( ( ( (m2_aofa_i00 @ E)  @ A)  @ B)  @ C)  @ D) ) ) ) , file(aofa_i00, m2_aofa_i00)).
thf(existence_m2_finseq_1, axiom,  (! [A: $i] :  (? [B: $i] :  ( (m2_finseq_1 @ B)  @ A) ) ) , file(finseq_1, m2_finseq_1)).
thf(existence_m2_funct_2, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ B) )  &  ( ( (m1_funct_2 @ C)  @ A)  @ B) )  =>  (? [D: $i] :  ( ( ( (m2_funct_2 @ D)  @ A)  @ B)  @ C) ) ) ) , file(funct_2, m2_funct_2)).
thf(existence_m2_subset_1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) ) ) )  =>  (? [C: $i] :  ( ( (m2_subset_1 @ C)  @ A)  @ B) ) ) ) , file(subset_1, m2_subset_1)).
thf(existence_m3_aofa_i00, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) ) )  &  ( ( ( (m1_aofa_000 @ D)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C) ) ) )  =>  (? [E: $i] :  ( ( ( ( (m3_aofa_i00 @ E)  @ A)  @ B)  @ C)  @ D) ) ) ) , file(aofa_i00, m3_aofa_i00)).
thf(fc108_valued_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v4_relat_1 @ A)  @ k5_numbers) )  =>  (v6_membered @  (k9_xtuple_0 @ A) ) ) ) , file(valued_1, fc108_valued_1)).
thf(fc10_abian, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_int_1 @ A)  &  (v1_abian @ A) )  &  ( (v1_int_1 @ B)  &  ~ ( (v1_abian @ B) ) ) )  =>  ~ ( (v1_abian @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) ) , file(abian, fc10_abian)).
thf(fc10_card_1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_finset_1 @ A) )  &  ~ ( (v1_xboole_0 @ B) ) )  =>  ~ ( (v1_finset_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) ) , file(card_1, fc10_card_1)).
thf(fc10_card_3, axiom,  (v5_card_3 @ k4_ordinal1) , file(card_3, fc10_card_3)).
thf(fc10_funcop_1, axiom,  (! [A: $i, B: $i] :  ( ~ ( (v1_xboole_0 @ B) )  =>  (v2_relat_1 @  ( (k2_funcop_1 @ A)  @ B) ) ) ) , file(funcop_1, fc10_funcop_1)).
thf(fc10_funct_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v2_relat_1 @ A)  &  (v1_funct_1 @ A) ) )  =>  (v1_setfam_1 @  (k10_xtuple_0 @ A) ) ) ) , file(funct_1, fc10_funct_1)).
thf(fc10_funct_2, axiom,  (! [A: $i, B: $i] :  (v4_funct_1 @  ( (k1_funct_2 @ A)  @ B) ) ) , file(funct_2, fc10_funct_2)).
thf(fc10_membered, axiom,  (! [A: $i] :  ( (v1_rat_1 @ A)  =>  (v4_membered @  (k1_tarski @ A) ) ) ) , file(membered, fc10_membered)).
thf(fc10_nat_1, axiom,  (! [A: $i, B: $i] :  ( (v3_ordinal1 @ A)  =>  (v5_ordinal1 @  ( (k2_funcop_1 @ A)  @ B) ) ) ) , file(nat_1, fc10_nat_1)).
thf(fc10_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v2_xxreal_0 @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc10_xreal_0)).
thf(fc119_valued_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  (v1_valued_0 @ B) ) ) )  &  (v1_xcmplx_0 @ C) )  =>  ( (v1_relat_1 @  ( (k7_valued_1 @ B)  @ C) )  &  ( ( (v4_relat_1 @  ( (k7_valued_1 @ B)  @ C) )  @ A)  &  (v1_funct_1 @  ( (k7_valued_1 @ B)  @ C) ) ) ) ) ) , file(valued_1, fc119_valued_1)).
thf(fc11_abian, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_int_1 @ A)  &  (v1_abian @ A) )  &  ( (v1_int_1 @ B)  &  ~ ( (v1_abian @ B) ) ) )  =>  ~ ( (v1_abian @  ( (k2_xcmplx_0 @ B)  @ A) ) ) ) ) , file(abian, fc11_abian)).
thf(fc11_aofa_000, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) )  =>  ( (v15_aofa_000 @  (k12_aofa_000 @ A) )  @ A) ) ) , file(aofa_000, fc11_aofa_000)).
thf(fc11_card_1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_finset_1 @ A) )  &  ~ ( (v1_xboole_0 @ B) ) )  =>  ~ ( (v1_finset_1 @  ( (k2_zfmisc_1 @ B)  @ A) ) ) ) ) , file(card_1, fc11_card_1)).
thf(fc11_funct_1, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_relat_1 @ A)  &  ( (v2_relat_1 @ A)  &  (v1_funct_1 @ A) ) ) )  &  ( (m1_subset_1 @ B)  @  (k9_xtuple_0 @ A) ) )  =>  ~ ( (v1_xboole_0 @  ( (k1_funct_1 @ A)  @ B) ) ) ) ) , file(funct_1, fc11_funct_1)).
thf(fc11_membered, axiom,  (! [A: $i] :  ( (v1_int_1 @ A)  =>  (v5_membered @  (k1_tarski @ A) ) ) ) , file(membered, fc11_membered)).
thf(fc11_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v2_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  (v2_xxreal_0 @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) , file(xreal_0, fc11_xreal_0)).
thf(fc122_valued_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( ( (v1_partfun1 @ B)  @ A)  &  (v1_valued_0 @ B) ) ) ) )  &  (v1_xcmplx_0 @ C) )  =>  ( (v1_relat_1 @  ( (k7_valued_1 @ B)  @ C) )  &  ( (v1_funct_1 @  ( (k7_valued_1 @ B)  @ C) )  &  ( (v1_partfun1 @  ( (k7_valued_1 @ B)  @ C) )  @ A) ) ) ) ) , file(valued_1, fc122_valued_1)).
thf(fc12_abian, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_int_1 @ A)  &  ~ ( (v1_abian @ A) ) )  &  ( (v1_int_1 @ B)  &  ~ ( (v1_abian @ B) ) ) )  =>  (v1_abian @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) , file(abian, fc12_abian)).
thf(fc12_aofa_000, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) )  &  ( ( ( (v15_aofa_000 @ B)  @ A)  &  ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) ) )  &  ( ( (v15_aofa_000 @ C)  @ A)  &  ( (m1_subset_1 @ C)  @  (u1_struct_0 @ A) ) ) ) )  =>  ( (v15_aofa_000 @  ( ( (k13_aofa_000 @ A)  @ B)  @ C) )  @ A) ) ) , file(aofa_000, fc12_aofa_000)).
thf(fc12_finset_1, axiom,  (! [A: $i, B: $i] :  ( (v1_finset_1 @ A)  =>  (v1_finset_1 @  ( (k4_xboole_0 @ A)  @ B) ) ) ) , file(finset_1, fc12_finset_1)).
thf(fc12_funct_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v3_funct_1 @ A) ) )  =>  (v1_zfmisc_1 @  (k10_xtuple_0 @ A) ) ) ) , file(funct_1, fc12_funct_1)).
thf(fc12_membered, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (v6_membered @  (k1_tarski @ A) ) ) ) , file(membered, fc12_membered)).
thf(fc12_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v2_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  (v2_xxreal_0 @  ( (k2_xcmplx_0 @ B)  @ A) ) ) ) , file(xreal_0, fc12_xreal_0)).
thf(fc13_abian, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_int_1 @ A)  &  (v1_abian @ A) )  &  ( (v1_int_1 @ B)  &  ~ ( (v1_abian @ B) ) ) )  =>  ~ ( (v1_abian @  ( (k6_xcmplx_0 @ A)  @ B) ) ) ) ) , file(abian, fc13_abian)).
thf(fc13_card_1, axiom,  (! [A: $i] :  ( (v3_card_1 @  (k1_tarski @ A) )  @ np__1) ) , file(card_1, fc13_card_1)).
thf(fc13_card_3, axiom,  (! [A: $i, B: $i] :  ( ~ ( (v1_finset_1 @ A) )  =>  ~ ( (v1_finset_1 @  ( (k2_funcop_1 @ A)  @ B) ) ) ) ) , file(card_3, fc13_card_3)).
thf(fc13_funct_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ~ ( (v3_funct_1 @ A) ) ) )  =>  ~ ( (v1_zfmisc_1 @  (k10_xtuple_0 @ A) ) ) ) ) , file(funct_1, fc13_funct_1)).
thf(fc13_membered, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  (v1_membered @  ( (k2_tarski @ A)  @ B) ) ) ) , file(membered, fc13_membered)).
thf(fc13_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_valued_0 @ A) ) )  &  (v1_xcmplx_0 @ B) )  =>  ( (v1_relat_1 @  ( (k7_valued_1 @ A)  @ B) )  &  ( (v1_funct_1 @  ( (k7_valued_1 @ A)  @ B) )  &  (v1_valued_0 @  ( (k7_valued_1 @ A)  @ B) ) ) ) ) ) , file(valued_1, fc13_valued_1)).
thf(fc13_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v3_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  (v3_xxreal_0 @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) , file(xreal_0, fc13_xreal_0)).
thf(fc14_abian, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_int_1 @ A)  &  (v1_abian @ A) )  &  ( (v1_int_1 @ B)  &  ~ ( (v1_abian @ B) ) ) )  =>  ~ ( (v1_abian @  ( (k6_xcmplx_0 @ B)  @ A) ) ) ) ) , file(abian, fc14_abian)).
thf(fc14_card_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_card_1 @ A)  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  ( (v3_card_1 @ B)  @ A) ) ) )  =>  ( (v3_card_1 @  (k9_xtuple_0 @ B) )  @ A) ) ) , file(card_1, fc14_card_1)).
thf(fc14_finset_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_finset_1 @ A)  &  (v1_finset_1 @ B) )  =>  (v1_finset_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) , file(finset_1, fc14_finset_1)).
thf(fc14_funcop_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ B)  &  (v1_funct_1 @ B) )  =>  (v1_funcop_1 @  ( (k2_funcop_1 @ A)  @ B) ) ) ) , file(funcop_1, fc14_funcop_1)).
thf(fc14_funct_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) )  =>  (v4_funct_1 @  (k1_tarski @ A) ) ) ) , file(funct_1, fc14_funct_1)).
thf(fc14_membered, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xxreal_0 @ A)  &  (v1_xxreal_0 @ B) )  =>  (v2_membered @  ( (k2_tarski @ A)  @ B) ) ) ) , file(membered, fc14_membered)).
thf(fc14_valued_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  (v1_valued_0 @ A) )  &  (v1_relat_1 @ B) )  =>  (v1_valued_0 @  ( (k4_xboole_0 @ A)  @ B) ) ) ) , file(valued_0, fc14_valued_0)).
thf(fc14_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v3_valued_0 @ A) ) )  &  (v1_xreal_0 @ B) )  =>  ( (v1_relat_1 @  ( (k7_valued_1 @ A)  @ B) )  &  ( (v1_funct_1 @  ( (k7_valued_1 @ A)  @ B) )  &  (v3_valued_0 @  ( (k7_valued_1 @ A)  @ B) ) ) ) ) ) , file(valued_1, fc14_valued_1)).
thf(fc14_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v3_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  (v3_xxreal_0 @  ( (k2_xcmplx_0 @ B)  @ A) ) ) ) , file(xreal_0, fc14_xreal_0)).
thf(fc15_abian, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_int_1 @ A)  &  ~ ( (v1_abian @ A) ) )  &  ( (v1_int_1 @ B)  &  ~ ( (v1_abian @ B) ) ) )  =>  (v1_abian @  ( (k6_xcmplx_0 @ A)  @ B) ) ) ) , file(abian, fc15_abian)).
thf(fc15_funcop_1, axiom,  (! [A: $i, B: $i] :  (v3_funct_1 @  ( (k2_funcop_1 @ A)  @ B) ) ) , file(funcop_1, fc15_funcop_1)).
thf(fc15_funct_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) )  &  ( (v1_relat_1 @ B)  &  (v1_funct_1 @ B) ) )  =>  (v4_funct_1 @  ( (k2_tarski @ A)  @ B) ) ) ) , file(funct_1, fc15_funct_1)).
thf(fc15_membered, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xreal_0 @ A)  &  (v1_xreal_0 @ B) )  =>  (v3_membered @  ( (k2_tarski @ A)  @ B) ) ) ) , file(membered, fc15_membered)).
thf(fc15_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( ( (v5_relat_1 @ A)  @ k3_numbers)  &  (v1_funct_1 @ A) ) )  &  (v1_rat_1 @ B) )  =>  ( (v1_relat_1 @  ( (k7_valued_1 @ A)  @ B) )  &  ( ( (v5_relat_1 @  ( (k7_valued_1 @ A)  @ B) )  @ k3_numbers)  &  (v1_funct_1 @  ( (k7_valued_1 @ A)  @ B) ) ) ) ) ) , file(valued_1, fc15_valued_1)).
thf(fc15_xreal_0, axiom,  (! [A: $i] :  ( ( ~ ( (v2_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  =>  ( (v1_xcmplx_0 @  (k4_xcmplx_0 @ A) )  &  ~ ( (v3_xxreal_0 @  (k4_xcmplx_0 @ A) ) ) ) ) ) , file(xreal_0, fc15_xreal_0)).
thf(fc16_abian, axiom,  (! [A: $i] :  ( ( (v1_int_1 @ A)  &  (v1_abian @ A) )  =>  (v1_abian @  ( (k2_xcmplx_0 @ A)  @ np__2) ) ) ) , file(abian, fc16_abian)).
thf(fc16_membered, axiom,  (! [A: $i, B: $i] :  ( ( (v1_rat_1 @ A)  &  (v1_rat_1 @ B) )  =>  (v4_membered @  ( (k2_tarski @ A)  @ B) ) ) ) , file(membered, fc16_membered)).
thf(fc16_valued_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  (v2_valued_0 @ A) )  &  (v1_relat_1 @ B) )  =>  (v2_valued_0 @  ( (k4_xboole_0 @ A)  @ B) ) ) ) , file(valued_0, fc16_valued_0)).
thf(fc16_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( ( (v5_relat_1 @ A)  @ k4_numbers)  &  (v1_funct_1 @ A) ) )  &  (v1_int_1 @ B) )  =>  ( (v1_relat_1 @  ( (k7_valued_1 @ A)  @ B) )  &  ( ( (v5_relat_1 @  ( (k7_valued_1 @ A)  @ B) )  @ k4_numbers)  &  (v1_funct_1 @  ( (k7_valued_1 @ A)  @ B) ) ) ) ) ) , file(valued_1, fc16_valued_1)).
thf(fc16_xreal_0, axiom,  (! [A: $i] :  ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  =>  ( (v1_xcmplx_0 @  (k4_xcmplx_0 @ A) )  &  ~ ( (v2_xxreal_0 @  (k4_xcmplx_0 @ A) ) ) ) ) ) , file(xreal_0, fc16_xreal_0)).
thf(fc17_abian, axiom,  (! [A: $i] :  ( ( (v1_int_1 @ A)  &  ~ ( (v1_abian @ A) ) )  =>  ~ ( (v1_abian @  ( (k2_xcmplx_0 @ A)  @ np__2) ) ) ) ) , file(abian, fc17_abian)).
thf(fc17_finset_1, axiom,  (! [A: $i] :  ( (v1_finset_1 @ A)  =>  (v1_finset_1 @  (k1_zfmisc_1 @ A) ) ) ) , file(finset_1, fc17_finset_1)).
thf(fc17_funcop_1, axiom,  (! [A: $i, B: $i] :  ( (v4_relat_1 @  ( (k2_funcop_1 @ A)  @ B) )  @ A) ) , file(funcop_1, fc17_funcop_1)).
thf(fc17_funct_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (v4_funct_1 @ A)  &  ( (v1_relat_1 @ C)  &  ( ( (v5_relat_1 @ C)  @ A)  &  (v1_funct_1 @ C) ) ) )  =>  ( (v1_relat_1 @  ( (k1_funct_1 @ C)  @ B) )  &  (v1_funct_1 @  ( (k1_funct_1 @ C)  @ B) ) ) ) ) , file(funct_1, fc17_funct_1)).
thf(fc17_membered, axiom,  (! [A: $i, B: $i] :  ( ( (v1_int_1 @ A)  &  (v1_int_1 @ B) )  =>  (v5_membered @  ( (k2_tarski @ A)  @ B) ) ) ) , file(membered, fc17_membered)).
thf(fc17_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v4_valued_0 @ A) ) )  &  (v7_ordinal1 @ B) )  =>  ( (v1_relat_1 @  ( (k7_valued_1 @ A)  @ B) )  &  ( (v1_funct_1 @  ( (k7_valued_1 @ A)  @ B) )  &  (v4_valued_0 @  ( (k7_valued_1 @ A)  @ B) ) ) ) ) ) , file(valued_1, fc17_valued_1)).
thf(fc17_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v3_xxreal_0 @  ( (k6_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc17_xreal_0)).
thf(fc18_abian, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ~ ( (v2_setfam_1 @ B) )  &  ( ( (v2_relat_1 @ C)  &  ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ A)  @ B)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) ) )  &  ( (m1_subset_1 @ D)  @ A) ) ) )  =>  ~ ( (v1_xboole_0 @  ( (k1_funct_1 @ C)  @ D) ) ) ) ) , file(abian, fc18_abian)).
thf(fc18_funct_1, axiom,  (! [A: $i] :  ( ( ~ ( (v1_zfmisc_1 @ A) )  &  ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) ) )  =>  ~ ( (v1_zfmisc_1 @  (k9_xtuple_0 @ A) ) ) ) ) , file(funct_1, fc18_funct_1)).
thf(fc18_membered, axiom,  (! [A: $i, B: $i] :  ( ( (v7_ordinal1 @ A)  &  (v7_ordinal1 @ B) )  =>  (v6_membered @  ( (k2_tarski @ A)  @ B) ) ) ) , file(membered, fc18_membered)).
thf(fc18_valued_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  (v3_valued_0 @ A) )  &  (v1_relat_1 @ B) )  =>  (v3_valued_0 @  ( (k4_xboole_0 @ A)  @ B) ) ) ) , file(valued_0, fc18_valued_0)).
thf(fc18_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v1_membered @ B) )  &  ( ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ A)  @ B)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  (v1_xcmplx_0 @ D) ) )  =>  ( (v1_funct_1 @  ( (k7_valued_1 @ C)  @ D) )  &  ( (v1_partfun1 @  ( (k7_valued_1 @ C)  @ D) )  @ A) ) ) ) , file(valued_1, fc18_valued_1)).
thf(fc18_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v2_xxreal_0 @  ( (k6_xcmplx_0 @ B)  @ A) ) ) ) ) , file(xreal_0, fc18_xreal_0)).
thf(fc19_abian, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  ~ ( (v2_setfam_1 @  (k1_zfmisc_1 @ A) ) ) ) ) , file(abian, fc19_abian)).
thf(fc19_finset_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_finset_1 @ A) )  =>  (v1_finset_1 @  (k9_xtuple_0 @ A) ) ) ) , file(finset_1, fc19_finset_1)).
thf(fc19_struct_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_card_1 @ A)  &  ( ( (v13_struct_0 @ B)  @ A)  &  (l1_struct_0 @ B) ) )  =>  ( (v3_card_1 @  (u1_struct_0 @ B) )  @ A) ) ) , file(struct_0, fc19_struct_0)).
thf(fc19_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v3_membered @ B) )  &  ( ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ A)  @ B)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  (v1_xreal_0 @ D) ) )  =>  ( (v1_funct_1 @  ( (k7_valued_1 @ C)  @ D) )  &  ( (v1_partfun1 @  ( (k7_valued_1 @ C)  @ D) )  @ A) ) ) ) , file(valued_1, fc19_valued_1)).
thf(fc19_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v2_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  (v2_xxreal_0 @  ( (k6_xcmplx_0 @ A)  @ B) ) ) ) , file(xreal_0, fc19_xreal_0)).
thf(fc1_abian, axiom,  (! [A: $i] :  ( (v1_int_1 @ A)  =>  (v1_abian @  ( (k3_xcmplx_0 @ np__2)  @ A) ) ) ) , file(abian, fc1_abian)).
thf(fc1_aofa_000, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ~ ( (v1_xboole_0 @ B) ) )  =>  (v2_relat_1 @  ( (k10_finseq_1 @ A)  @ B) ) ) ) , file(aofa_000, fc1_aofa_000)).
thf(fc1_aofa_i00, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ~ ( (v1_finset_1 @ B) ) )  =>  ~ ( (v1_finset_1 @  ( (k1_funct_2 @ A)  @ B) ) ) ) ) , file(aofa_i00, fc1_aofa_i00)).
thf(fc1_finset_1, axiom,  (! [A: $i] :  (v1_finset_1 @  (k1_tarski @ A) ) ) , file(finset_1, fc1_finset_1)).
thf(fc1_funcop_1, axiom,  (! [A: $i, B: $i] :  ( (v1_relat_1 @  ( (k2_funcop_1 @ A)  @ B) )  &  (v1_funct_1 @  ( (k2_funcop_1 @ A)  @ B) ) ) ) , file(funcop_1, fc1_funcop_1)).
thf(fc1_funct_1, axiom,  (! [A: $i, B: $i] :  (v1_funct_1 @  (k1_tarski @  ( (k4_tarski @ A)  @ B) ) ) ) , file(funct_1, fc1_funct_1)).
thf(fc1_funct_2, axiom,  (! [A: $i, B: $i] :  ( ~ ( (v1_xboole_0 @ B) )  =>  ~ ( (v1_xboole_0 @  ( (k1_funct_2 @ A)  @ B) ) ) ) ) , file(funct_2, fc1_funct_2)).
thf(fc1_int_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_int_1 @ A)  &  (v1_int_1 @ B) )  =>  (v1_int_1 @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) , file(int_1, fc1_int_1)).
thf(fc1_nat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v7_ordinal1 @ A)  &  (v7_ordinal1 @ B) )  =>  (v7_ordinal1 @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) , file(nat_1, fc1_nat_1)).
thf(fc1_numbers, axiom,  ~ ( (v1_xboole_0 @ k1_numbers) ) , file(numbers, fc1_numbers)).
thf(fc1_struct_0, axiom,  (! [A: $i] :  ( ( (v2_struct_0 @ A)  &  (l1_struct_0 @ A) )  =>  (v1_xboole_0 @  (u1_struct_0 @ A) ) ) ) , file(struct_0, fc1_struct_0)).
thf(fc1_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_valued_0 @ A) )  =>  (v1_membered @  (k10_xtuple_0 @ A) ) ) ) , file(valued_0, fc1_valued_0)).
thf(fc1_xboole_0, axiom,  (v1_xboole_0 @ k1_xboole_0) , file(xboole_0, fc1_xboole_0)).
thf(fc1_xtuple_0, axiom,  (! [A: $i, B: $i] :  (v1_xtuple_0 @  ( (k4_tarski @ A)  @ B) ) ) , file(xtuple_0, fc1_xtuple_0)).
thf(fc20_funcop_1, axiom,  (! [A: $i, B: $i] :  ( (v1_relat_1 @  ( (k2_funcop_1 @ A)  @ B) )  &  ( ( (v4_relat_1 @  ( (k2_funcop_1 @ A)  @ B) )  @ A)  &  ( (v1_funct_1 @  ( (k2_funcop_1 @ A)  @ B) )  &  ( (v1_partfun1 @  ( (k2_funcop_1 @ A)  @ B) )  @ A) ) ) ) ) , file(funcop_1, fc20_funcop_1)).
thf(fc20_valued_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k3_numbers) )  &  (v1_relat_1 @ B) )  =>  ( (v5_relat_1 @  ( (k4_xboole_0 @ A)  @ B) )  @ k3_numbers) ) ) , file(valued_0, fc20_valued_0)).
thf(fc20_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_membered @ B) )  &  ( ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ A)  @ B)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  (v1_rat_1 @ D) ) )  =>  ( (v1_funct_1 @  ( (k7_valued_1 @ C)  @ D) )  &  ( (v1_partfun1 @  ( (k7_valued_1 @ C)  @ D) )  @ A) ) ) ) , file(valued_1, fc20_valued_1)).
thf(fc20_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v2_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  (v3_xxreal_0 @  ( (k6_xcmplx_0 @ B)  @ A) ) ) ) , file(xreal_0, fc20_xreal_0)).
thf(fc21_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v5_membered @ B) )  &  ( ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ A)  @ B)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  (v1_int_1 @ D) ) )  =>  ( (v1_funct_1 @  ( (k7_valued_1 @ C)  @ D) )  &  ( (v1_partfun1 @  ( (k7_valued_1 @ C)  @ D) )  @ A) ) ) ) , file(valued_1, fc21_valued_1)).
thf(fc21_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v3_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  (v3_xxreal_0 @  ( (k6_xcmplx_0 @ A)  @ B) ) ) ) , file(xreal_0, fc21_xreal_0)).
thf(fc22_finset_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_finset_1 @ A) )  =>  (v1_finset_1 @  (k10_xtuple_0 @ A) ) ) ) , file(finset_1, fc22_finset_1)).
thf(fc22_funcop_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ B) )  &  ( (m1_subset_1 @ C)  @ B) )  =>  ( (v5_relat_1 @  ( (k2_funcop_1 @ A)  @ C) )  @ B) ) ) , file(funcop_1, fc22_funcop_1)).
thf(fc22_valued_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k4_numbers) )  &  (v1_relat_1 @ B) )  =>  ( (v5_relat_1 @  ( (k4_xboole_0 @ A)  @ B) )  @ k4_numbers) ) ) , file(valued_0, fc22_valued_0)).
thf(fc22_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v6_membered @ B) )  &  ( ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ A)  @ B)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  (v7_ordinal1 @ D) ) )  =>  ( (v1_funct_1 @  ( (k7_valued_1 @ C)  @ D) )  &  ( (v1_partfun1 @  ( (k7_valued_1 @ C)  @ D) )  @ A) ) ) ) , file(valued_1, fc22_valued_1)).
thf(fc22_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v3_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  (v2_xxreal_0 @  ( (k6_xcmplx_0 @ B)  @ A) ) ) ) , file(xreal_0, fc22_xreal_0)).
thf(fc23_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v1_valued_0 @ A)  &  (v1_finseq_1 @ A) ) ) )  &  (v1_xcmplx_0 @ B) )  =>  ( (v1_relat_1 @  ( (k7_valued_1 @ A)  @ B) )  &  ( (v1_funct_1 @  ( (k7_valued_1 @ A)  @ B) )  &  (v1_finseq_1 @  ( (k7_valued_1 @ A)  @ B) ) ) ) ) ) , file(valued_1, fc23_valued_1)).
thf(fc23_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v2_xxreal_0 @  ( (k3_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc23_xreal_0)).
thf(fc24_valued_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  (v4_valued_0 @ A) )  &  (v1_relat_1 @ B) )  =>  (v4_valued_0 @  ( (k4_xboole_0 @ A)  @ B) ) ) ) , file(valued_0, fc24_valued_0)).
thf(fc24_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v2_xxreal_0 @  ( (k3_xcmplx_0 @ B)  @ A) ) ) ) ) , file(xreal_0, fc24_xreal_0)).
thf(fc25_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v3_xxreal_0 @  ( (k3_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc25_xreal_0)).
thf(fc26_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v3_xxreal_0 @  ( (k3_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc26_xreal_0)).
thf(fc27_xreal_0, axiom,  (! [A: $i] :  ( ( (v2_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  =>  ( (v1_xcmplx_0 @  (k5_xcmplx_0 @ A) )  &  (v2_xxreal_0 @  (k5_xcmplx_0 @ A) ) ) ) ) , file(xreal_0, fc27_xreal_0)).
thf(fc28_xreal_0, axiom,  (! [A: $i] :  ( ( ~ ( (v2_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  =>  ( (v1_xcmplx_0 @  (k5_xcmplx_0 @ A) )  &  ~ ( (v2_xxreal_0 @  (k5_xcmplx_0 @ A) ) ) ) ) ) , file(xreal_0, fc28_xreal_0)).
thf(fc29_xreal_0, axiom,  (! [A: $i] :  ( ( (v3_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  =>  ( (v1_xcmplx_0 @  (k5_xcmplx_0 @ A) )  &  (v3_xxreal_0 @  (k5_xcmplx_0 @ A) ) ) ) ) , file(xreal_0, fc29_xreal_0)).
thf(fc2_abian, axiom,  (! [A: $i] :  ( ( (v1_int_1 @ A)  &  (v1_abian @ A) )  =>  ~ ( (v1_abian @  ( (k2_xcmplx_0 @ A)  @ np__1) ) ) ) ) , file(abian, fc2_abian)).
thf(fc2_card_3, axiom,  (! [A: $i, B: $i] :  ( (v1_card_1 @ B)  =>  (v1_card_3 @  ( (k2_funcop_1 @ A)  @ B) ) ) ) , file(card_3, fc2_card_3)).
thf(fc2_finset_1, axiom,  (! [A: $i, B: $i] :  (v1_finset_1 @  ( (k2_tarski @ A)  @ B) ) ) , file(finset_1, fc2_finset_1)).
thf(fc2_funcop_1, axiom,  (! [A: $i] :  (v1_xboole_0 @  ( (k2_funcop_1 @ k1_xboole_0)  @ A) ) ) , file(funcop_1, fc2_funcop_1)).
thf(fc2_funct_2, axiom,  (! [A: $i] :  ~ ( (v1_xboole_0 @  ( (k1_funct_2 @ A)  @ A) ) ) ) , file(funct_2, fc2_funct_2)).
thf(fc2_int_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_int_1 @ A)  &  (v1_int_1 @ B) )  =>  (v1_int_1 @  ( (k3_xcmplx_0 @ A)  @ B) ) ) ) , file(int_1, fc2_int_1)).
thf(fc2_nat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v7_ordinal1 @ A)  &  (v7_ordinal1 @ B) )  =>  (v7_ordinal1 @  ( (k3_xcmplx_0 @ A)  @ B) ) ) ) , file(nat_1, fc2_nat_1)).
thf(fc2_struct_0, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_struct_0 @ A) )  =>  ~ ( (v1_xboole_0 @  (u1_struct_0 @ A) ) ) ) ) , file(struct_0, fc2_struct_0)).
thf(fc2_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v2_valued_0 @ A) )  =>  (v2_membered @  (k10_xtuple_0 @ A) ) ) ) , file(valued_0, fc2_valued_0)).
thf(fc2_xboole_0, axiom,  (! [A: $i] :  ~ ( (v1_xboole_0 @  (k1_tarski @ A) ) ) ) , file(xboole_0, fc2_xboole_0)).
thf(fc2_xcmplx_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  (v1_xcmplx_0 @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) , file(xcmplx_0, fc2_xcmplx_0)).
thf(fc30_finset_1, axiom,  (! [A: $i] :  ( (v1_finset_1 @ A)  =>  (v5_finset_1 @  (k1_tarski @ A) ) ) ) , file(finset_1, fc30_finset_1)).
thf(fc30_xreal_0, axiom,  (! [A: $i] :  ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  =>  ( (v1_xcmplx_0 @  (k5_xcmplx_0 @ A) )  &  ~ ( (v3_xxreal_0 @  (k5_xcmplx_0 @ A) ) ) ) ) ) , file(xreal_0, fc30_xreal_0)).
thf(fc31_finset_1, axiom,  (! [A: $i] :  ( (v1_finset_1 @ A)  =>  (v5_finset_1 @  (k1_zfmisc_1 @ A) ) ) ) , file(finset_1, fc31_finset_1)).
thf(fc31_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v2_xxreal_0 @  ( (k7_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc31_xreal_0)).
thf(fc32_finset_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_finset_1 @ A)  &  (v1_finset_1 @ B) )  =>  (v5_finset_1 @  ( (k2_tarski @ A)  @ B) ) ) ) , file(finset_1, fc32_finset_1)).
thf(fc32_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v2_xxreal_0 @  ( (k7_xcmplx_0 @ B)  @ A) ) ) ) ) , file(xreal_0, fc32_xreal_0)).
thf(fc33_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v3_xxreal_0 @  ( (k7_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc33_xreal_0)).
thf(fc34_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v3_xxreal_0 @  ( (k7_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc34_xreal_0)).
thf(fc35_finset_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_finset_1 @ A) ) )  =>  (v1_finset_1 @  ( (k1_funct_1 @ A)  @ B) ) ) ) , file(finset_1, fc35_finset_1)).
thf(fc36_finset_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v2_finset_1 @ A) )  =>  (v5_finset_1 @  (k10_xtuple_0 @ A) ) ) ) , file(finset_1, fc36_finset_1)).
thf(fc3_abian, axiom,  (! [A: $i] :  ( ( (v1_int_1 @ A)  &  ~ ( (v1_abian @ A) ) )  =>  (v1_abian @  ( (k2_xcmplx_0 @ A)  @ np__1) ) ) ) , file(abian, fc3_abian)).
thf(fc3_aofa_i00, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  ( (v2_aofa_i00 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) ) )  &  ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_card_3 @ B) )  &  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) ) )  &  ( ( ( ( ( (v1_aofa_i00 @ D)  @ A)  @ B)  @ C)  &  ( ( ( (m1_aofa_000 @ D)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C) )  &  ( ( ( ( ( (m2_aofa_i00 @ E)  @ A)  @ B)  @ C)  @ D)  &  ( ( ( ( (m3_aofa_i00 @ F)  @ A)  @ B)  @ C)  @ D) ) ) ) ) )  =>  ( (v15_aofa_000 @  ( ( ( ( ( (k44_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E)  @ F) )  @ A) ) ) , file(aofa_i00, fc3_aofa_i00)).
thf(fc3_funcop_1, axiom,  (! [A: $i, B: $i] :  ( (v1_xboole_0 @ B)  =>  (v1_xboole_0 @  ( (k2_funcop_1 @ B)  @ A) ) ) ) , file(funcop_1, fc3_funcop_1)).
thf(fc3_funct_2, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v1_xboole_0 @ B) )  =>  (v1_xboole_0 @  ( (k1_funct_2 @ A)  @ B) ) ) ) , file(funct_2, fc3_funct_2)).
thf(fc3_int_1, axiom,  (! [A: $i] :  ( (v1_int_1 @ A)  =>  ( (v1_xcmplx_0 @  (k4_xcmplx_0 @ A) )  &  (v1_int_1 @  (k4_xcmplx_0 @ A) ) ) ) ) , file(int_1, fc3_int_1)).
thf(fc3_membered, axiom,  (v3_membered @ k1_numbers) , file(membered, fc3_membered)).
thf(fc3_nat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v7_ordinal1 @ A)  &  ( ~ ( (v1_xboole_0 @ B) )  &  (v7_ordinal1 @ B) ) )  =>  ~ ( (v1_xboole_0 @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) ) , file(nat_1, fc3_nat_1)).
thf(fc3_numbers, axiom,  ~ ( (v1_xboole_0 @ k3_numbers) ) , file(numbers, fc3_numbers)).
thf(fc3_relset_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v1_relat_1 @ B)  &  ( (v4_relat_1 @ B)  @ A) )  &  (v1_relat_1 @ C) )  =>  ( (v4_relat_1 @  ( (k4_xboole_0 @ B)  @ C) )  @ A) ) ) , file(relset_1, fc3_relset_1)).
thf(fc3_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v3_valued_0 @ A) )  =>  (v3_membered @  (k10_xtuple_0 @ A) ) ) ) , file(valued_0, fc3_valued_0)).
thf(fc3_xboole_0, axiom,  (! [A: $i, B: $i] :  ~ ( (v1_xboole_0 @  ( (k2_tarski @ A)  @ B) ) ) ) , file(xboole_0, fc3_xboole_0)).
thf(fc3_xcmplx_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  (v1_xcmplx_0 @  ( (k3_xcmplx_0 @ A)  @ B) ) ) ) , file(xcmplx_0, fc3_xcmplx_0)).
thf(fc3_xreal_0, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  ( (v1_xcmplx_0 @  (k4_xcmplx_0 @ A) )  &  (v1_xreal_0 @  (k4_xcmplx_0 @ A) ) ) ) ) , file(xreal_0, fc3_xreal_0)).
thf(fc43_membered, axiom,  (! [A: $i, B: $i] :  ( (v1_membered @ A)  =>  (v1_membered @  ( (k4_xboole_0 @ A)  @ B) ) ) ) , file(membered, fc43_membered)).
thf(fc44_membered, axiom,  (! [A: $i, B: $i] :  ( (v2_membered @ A)  =>  (v2_membered @  ( (k4_xboole_0 @ A)  @ B) ) ) ) , file(membered, fc44_membered)).
thf(fc45_membered, axiom,  (! [A: $i, B: $i] :  ( (v3_membered @ A)  =>  (v3_membered @  ( (k4_xboole_0 @ A)  @ B) ) ) ) , file(membered, fc45_membered)).
thf(fc46_membered, axiom,  (! [A: $i, B: $i] :  ( (v4_membered @ A)  =>  (v4_membered @  ( (k4_xboole_0 @ A)  @ B) ) ) ) , file(membered, fc46_membered)).
thf(fc47_membered, axiom,  (! [A: $i, B: $i] :  ( (v5_membered @ A)  =>  (v5_membered @  ( (k4_xboole_0 @ A)  @ B) ) ) ) , file(membered, fc47_membered)).
thf(fc48_membered, axiom,  (! [A: $i, B: $i] :  ( (v6_membered @ A)  =>  (v6_membered @  ( (k4_xboole_0 @ A)  @ B) ) ) ) , file(membered, fc48_membered)).
thf(fc4_abian, axiom,  (! [A: $i] :  ( ( (v1_int_1 @ A)  &  (v1_abian @ A) )  =>  ~ ( (v1_abian @  ( (k6_xcmplx_0 @ A)  @ np__1) ) ) ) ) , file(abian, fc4_abian)).
thf(fc4_card_1, axiom,  (v1_card_1 @ k4_ordinal1) , file(card_1, fc4_card_1)).
thf(fc4_funcop_1, axiom,  (! [A: $i, B: $i] :  ( ~ ( (v1_xboole_0 @ B) )  =>  ~ ( (v1_xboole_0 @  ( (k2_funcop_1 @ B)  @ A) ) ) ) ) , file(funcop_1, fc4_funcop_1)).
thf(fc4_int_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_int_1 @ A)  &  (v1_int_1 @ B) )  =>  (v1_int_1 @  ( (k6_xcmplx_0 @ A)  @ B) ) ) ) , file(int_1, fc4_int_1)).
thf(fc4_membered, axiom,  (v4_membered @ k3_numbers) , file(membered, fc4_membered)).
thf(fc4_nat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v7_ordinal1 @ A)  &  ( ~ ( (v1_xboole_0 @ B) )  &  (v7_ordinal1 @ B) ) )  =>  ~ ( (v1_xboole_0 @  ( (k2_xcmplx_0 @ B)  @ A) ) ) ) ) , file(nat_1, fc4_nat_1)).
thf(fc4_numbers, axiom,  ~ ( (v1_xboole_0 @ k4_numbers) ) , file(numbers, fc4_numbers)).
thf(fc4_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k3_numbers) )  =>  (v4_membered @  (k10_xtuple_0 @ A) ) ) ) , file(valued_0, fc4_valued_0)).
thf(fc4_xcmplx_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  (v1_xcmplx_0 @  ( (k6_xcmplx_0 @ A)  @ B) ) ) ) , file(xcmplx_0, fc4_xcmplx_0)).
thf(fc4_xreal_0, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  ( (v1_xcmplx_0 @  (k5_xcmplx_0 @ A) )  &  (v1_xreal_0 @  (k5_xcmplx_0 @ A) ) ) ) ) , file(xreal_0, fc4_xreal_0)).
thf(fc4_xtuple_0, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v1_xboole_0 @  (k9_xtuple_0 @ A) ) ) ) , file(xtuple_0, fc4_xtuple_0)).
thf(fc56_membered, axiom,  (v7_membered @ k1_numbers) , file(membered, fc56_membered)).
thf(fc57_membered, axiom,  (v7_membered @ k3_numbers) , file(membered, fc57_membered)).
thf(fc58_membered, axiom,  (v7_membered @ k4_numbers) , file(membered, fc58_membered)).
thf(fc59_membered, axiom,  (v7_membered @ k4_ordinal1) , file(membered, fc59_membered)).
thf(fc5_abian, axiom,  (! [A: $i] :  ( ( (v1_int_1 @ A)  &  ~ ( (v1_abian @ A) ) )  =>  (v1_abian @  ( (k6_xcmplx_0 @ A)  @ np__1) ) ) ) , file(abian, fc5_abian)).
thf(fc5_card_1, axiom,  (v2_card_1 @ k4_ordinal1) , file(card_1, fc5_card_1)).
thf(fc5_membered, axiom,  (v5_membered @ k4_numbers) , file(membered, fc5_membered)).
thf(fc5_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k4_numbers) )  =>  (v5_membered @  (k10_xtuple_0 @ A) ) ) ) , file(valued_0, fc5_valued_0)).
thf(fc5_xcmplx_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  (v1_xcmplx_0 @  ( (k7_xcmplx_0 @ A)  @ B) ) ) ) , file(xcmplx_0, fc5_xcmplx_0)).
thf(fc5_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xreal_0 @ A)  &  (v1_xreal_0 @ B) )  =>  (v1_xreal_0 @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) , file(xreal_0, fc5_xreal_0)).
thf(fc5_xtuple_0, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v1_xboole_0 @  (k10_xtuple_0 @ A) ) ) ) , file(xtuple_0, fc5_xtuple_0)).
thf(fc61_valued_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_valued_0 @ A) ) )  =>  (v1_xcmplx_0 @  ( (k1_funct_1 @ A)  @ B) ) ) ) , file(valued_0, fc61_valued_0)).
thf(fc62_valued_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_valued_0 @ A) ) )  =>  (v1_xxreal_0 @  ( (k1_funct_1 @ A)  @ B) ) ) ) , file(valued_0, fc62_valued_0)).
thf(fc63_valued_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v3_valued_0 @ A) ) )  =>  (v1_xreal_0 @  ( (k1_funct_1 @ A)  @ B) ) ) ) , file(valued_0, fc63_valued_0)).
thf(fc64_valued_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  ( ( (v5_relat_1 @ A)  @ k3_numbers)  &  (v1_funct_1 @ A) ) )  =>  (v1_rat_1 @  ( (k1_funct_1 @ A)  @ B) ) ) ) , file(valued_0, fc64_valued_0)).
thf(fc65_valued_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  ( ( (v5_relat_1 @ A)  @ k4_numbers)  &  (v1_funct_1 @ A) ) )  =>  (v1_int_1 @  ( (k1_funct_1 @ A)  @ B) ) ) ) , file(valued_0, fc65_valued_0)).
thf(fc66_valued_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v4_valued_0 @ A) ) )  =>  (v7_ordinal1 @  ( (k1_funct_1 @ A)  @ B) ) ) ) , file(valued_0, fc66_valued_0)).
thf(fc67_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v1_xcmplx_0 @ B)  =>  (v1_valued_0 @  ( (k2_funcop_1 @ A)  @ B) ) ) ) , file(valued_0, fc67_valued_0)).
thf(fc68_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v1_xxreal_0 @ B)  =>  (v2_valued_0 @  ( (k2_funcop_1 @ A)  @ B) ) ) ) , file(valued_0, fc68_valued_0)).
thf(fc69_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v1_xreal_0 @ B)  =>  (v3_valued_0 @  ( (k2_funcop_1 @ A)  @ B) ) ) ) , file(valued_0, fc69_valued_0)).
thf(fc6_abian, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_int_1 @ A)  &  (v1_abian @ A) )  &  (v1_int_1 @ B) )  =>  (v1_abian @  ( (k3_xcmplx_0 @ A)  @ B) ) ) ) , file(abian, fc6_abian)).
thf(fc6_aofa_000, axiom,  (! [A: $i, B: $i] :  (v1_freealg @  ( (k2_zfmisc_1 @ A)  @ B) ) ) , file(aofa_000, fc6_aofa_000)).
thf(fc6_membered, axiom,  (v6_membered @ k4_ordinal1) , file(membered, fc6_membered)).
thf(fc6_numbers, axiom,  ~ ( (v1_finset_1 @ k4_numbers) ) , file(numbers, fc6_numbers)).
thf(fc6_relset_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v1_relat_1 @ B)  &  ( (v5_relat_1 @ B)  @ A) )  &  (v1_relat_1 @ C) )  =>  ( (v5_relat_1 @  ( (k4_xboole_0 @ B)  @ C) )  @ A) ) ) , file(relset_1, fc6_relset_1)).
thf(fc6_struct_0, axiom,  (! [A: $i] :  ( ( ~ ( (v7_struct_0 @ A) )  &  (l1_struct_0 @ A) )  =>  ~ ( (v1_zfmisc_1 @  (u1_struct_0 @ A) ) ) ) ) , file(struct_0, fc6_struct_0)).
thf(fc6_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v4_valued_0 @ A) )  =>  (v6_membered @  (k10_xtuple_0 @ A) ) ) ) , file(valued_0, fc6_valued_0)).
thf(fc6_xcmplx_0, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v1_xcmplx_0 @ A) )  =>  ( ~ ( (v1_xboole_0 @  (k4_xcmplx_0 @ A) ) )  &  (v1_xcmplx_0 @  (k4_xcmplx_0 @ A) ) ) ) ) , file(xcmplx_0, fc6_xcmplx_0)).
thf(fc6_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xreal_0 @ A)  &  (v1_xreal_0 @ B) )  =>  (v1_xreal_0 @  ( (k3_xcmplx_0 @ A)  @ B) ) ) ) , file(xreal_0, fc6_xreal_0)).
thf(fc70_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v1_rat_1 @ B)  =>  ( (v5_relat_1 @  ( (k2_funcop_1 @ A)  @ B) )  @ k3_numbers) ) ) , file(valued_0, fc70_valued_0)).
thf(fc71_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v1_int_1 @ B)  =>  ( (v5_relat_1 @  ( (k2_funcop_1 @ A)  @ B) )  @ k4_numbers) ) ) , file(valued_0, fc71_valued_0)).
thf(fc72_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v7_ordinal1 @ B)  =>  (v4_valued_0 @  ( (k2_funcop_1 @ A)  @ B) ) ) ) , file(valued_0, fc72_valued_0)).
thf(fc7_abian, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_int_1 @ A)  &  (v1_abian @ A) )  &  (v1_int_1 @ B) )  =>  (v1_abian @  ( (k3_xcmplx_0 @ B)  @ A) ) ) ) , file(abian, fc7_abian)).
thf(fc7_card_1, axiom,  ~ ( (v1_finset_1 @ k4_ordinal1) ) , file(card_1, fc7_card_1)).
thf(fc7_card_3, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) )  =>  (v2_card_3 @  (k1_tarski @ A) ) ) ) , file(card_3, fc7_card_3)).
thf(fc7_membered, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  (v1_membered @  (k1_tarski @ A) ) ) ) , file(membered, fc7_membered)).
thf(fc7_numbers, axiom,  ~ ( (v1_finset_1 @ k3_numbers) ) , file(numbers, fc7_numbers)).
thf(fc7_struct_0, axiom,  (! [A: $i] :  ( ( (v7_struct_0 @ A)  &  (l1_struct_0 @ A) )  =>  (v1_zfmisc_1 @  (u1_struct_0 @ A) ) ) ) , file(struct_0, fc7_struct_0)).
thf(fc7_xcmplx_0, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v1_xcmplx_0 @ A) )  =>  ( ~ ( (v1_xboole_0 @  (k5_xcmplx_0 @ A) ) )  &  (v1_xcmplx_0 @  (k5_xcmplx_0 @ A) ) ) ) ) , file(xcmplx_0, fc7_xcmplx_0)).
thf(fc7_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xreal_0 @ A)  &  (v1_xreal_0 @ B) )  =>  (v1_xreal_0 @  ( (k6_xcmplx_0 @ A)  @ B) ) ) ) , file(xreal_0, fc7_xreal_0)).
thf(fc85_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v1_membered @ B)  =>  (v1_valued_0 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) , file(valued_0, fc85_valued_0)).
thf(fc86_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v2_membered @ B)  =>  (v2_valued_0 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) , file(valued_0, fc86_valued_0)).
thf(fc87_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v3_membered @ B)  =>  (v3_valued_0 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) , file(valued_0, fc87_valued_0)).
thf(fc88_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v4_membered @ B)  =>  ( (v5_relat_1 @  ( (k2_zfmisc_1 @ A)  @ B) )  @ k3_numbers) ) ) , file(valued_0, fc88_valued_0)).
thf(fc89_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v5_membered @ B)  =>  ( (v5_relat_1 @  ( (k2_zfmisc_1 @ A)  @ B) )  @ k4_numbers) ) ) , file(valued_0, fc89_valued_0)).
thf(fc8_abian, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_int_1 @ A)  &  ~ ( (v1_abian @ A) ) )  &  ( (v1_int_1 @ B)  &  ~ ( (v1_abian @ B) ) ) )  =>  ~ ( (v1_abian @  ( (k3_xcmplx_0 @ A)  @ B) ) ) ) ) , file(abian, fc8_abian)).
thf(fc8_funcop_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_funcop_1 @ A) ) )  =>  ( (v1_relat_1 @  ( (k1_funct_1 @ A)  @ B) )  &  (v1_funct_1 @  ( (k1_funct_1 @ A)  @ B) ) ) ) ) , file(funcop_1, fc8_funcop_1)).
thf(fc8_membered, axiom,  (! [A: $i] :  ( (v1_xxreal_0 @ A)  =>  (v2_membered @  (k1_tarski @ A) ) ) ) , file(membered, fc8_membered)).
thf(fc8_numbers, axiom,  ~ ( (v1_finset_1 @ k1_numbers) ) , file(numbers, fc8_numbers)).
thf(fc8_relset_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) )  @ C) ) )  =>  (v1_relat_1 @  (k9_xtuple_0 @ D) ) ) ) , file(relset_1, fc8_relset_1)).
thf(fc8_struct_0, axiom,  (! [A: $i] :  ( ( (v8_struct_0 @ A)  &  (l1_struct_0 @ A) )  =>  (v1_finset_1 @  (u1_struct_0 @ A) ) ) ) , file(struct_0, fc8_struct_0)).
thf(fc8_xcmplx_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v1_xboole_0 @ A) )  &  (v1_xcmplx_0 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  (v1_xcmplx_0 @ B) ) )  =>  ~ ( (v1_xboole_0 @  ( (k3_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xcmplx_0, fc8_xcmplx_0)).
thf(fc8_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xreal_0 @ A)  &  (v1_xreal_0 @ B) )  =>  (v1_xreal_0 @  ( (k7_xcmplx_0 @ A)  @ B) ) ) ) , file(xreal_0, fc8_xreal_0)).
thf(fc90_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v6_membered @ B)  =>  (v4_valued_0 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) , file(valued_0, fc90_valued_0)).
thf(fc9_abian, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_int_1 @ A)  &  (v1_abian @ A) )  &  ( (v1_int_1 @ B)  &  (v1_abian @ B) ) )  =>  (v1_abian @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) , file(abian, fc9_abian)).
thf(fc9_card_1, axiom,  (! [A: $i] :  ( ~ ( (v1_finset_1 @ A) )  =>  ~ ( (v1_finset_1 @  (k1_zfmisc_1 @ A) ) ) ) ) , file(card_1, fc9_card_1)).
thf(fc9_membered, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (v3_membered @  (k1_tarski @ A) ) ) ) , file(membered, fc9_membered)).
thf(fc9_relset_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @  ( (k2_zfmisc_1 @ B)  @ C) ) ) )  =>  (v1_relat_1 @  (k10_xtuple_0 @ D) ) ) ) , file(relset_1, fc9_relset_1)).
thf(fc9_struct_0, axiom,  (! [A: $i] :  ( ( ~ ( (v8_struct_0 @ A) )  &  (l1_struct_0 @ A) )  =>  ~ ( (v1_finset_1 @  (u1_struct_0 @ A) ) ) ) ) , file(struct_0, fc9_struct_0)).
thf(fc9_xcmplx_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v1_xboole_0 @ A) )  &  (v1_xcmplx_0 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  (v1_xcmplx_0 @ B) ) )  =>  ~ ( (v1_xboole_0 @  ( (k7_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xcmplx_0, fc9_xcmplx_0)).
thf(fc9_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v3_xxreal_0 @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc9_xreal_0)).
thf(involutiveness_k4_xcmplx_0, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  (k4_xcmplx_0 @  (k4_xcmplx_0 @ A) ) )  @ A) ) ) , file(xcmplx_0, k4_xcmplx_0)).
thf(involutiveness_k5_xcmplx_0, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  (k5_xcmplx_0 @  (k5_xcmplx_0 @ A) ) )  @ A) ) ) , file(xcmplx_0, k5_xcmplx_0)).
thf(rc1_card_1, axiom,  (? [A: $i] :  (v1_card_1 @ A) ) , file(card_1, rc1_card_1)).
thf(rc1_card_3, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_card_3 @ A) ) ) ) , file(card_3, rc1_card_3)).
thf(rc1_finset_1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v1_finset_1 @ A) ) ) , file(finset_1, rc1_finset_1)).
thf(rc1_freealg, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v1_freealg @ A) ) ) , file(freealg, rc1_freealg)).
thf(rc1_funcop_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_funcop_1 @ A) ) ) ) , file(funcop_1, rc1_funcop_1)).
thf(rc1_funct_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) ) ) , file(funct_1, rc1_funct_1)).
thf(rc1_funct_2, axiom,  (! [A: $i, B: $i] :  (? [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  &  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( ( (v5_relat_1 @ C)  @ B)  &  ( (v1_funct_1 @ C)  &  ( ( (v1_funct_2 @ C)  @ A)  @ B) ) ) ) ) ) ) ) , file(funct_2, rc1_funct_2)).
thf(rc1_int_1, axiom,  (? [A: $i] :  ( ( (m1_subset_1 @ A)  @ k1_numbers)  &  ( (v1_xxreal_0 @ A)  &  ( (v1_xcmplx_0 @ A)  &  ( (v1_xreal_0 @ A)  &  (v1_int_1 @ A) ) ) ) ) ) , file(int_1, rc1_int_1)).
thf(rc1_membered, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v6_membered @ A) ) ) , file(membered, rc1_membered)).
thf(rc1_relset_1, axiom,  (! [A: $i, B: $i] :  (? [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  &  ( (v1_xboole_0 @ C)  &  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v5_relat_1 @ C)  @ B) ) ) ) ) ) ) , file(relset_1, rc1_relset_1)).
thf(rc1_valued_0, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v4_valued_0 @ A) ) ) ) , file(valued_0, rc1_valued_0)).
thf(rc1_valued_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v1_valued_0 @ A)  &  (v1_finseq_1 @ A) ) ) ) ) , file(valued_1, rc1_valued_1)).
thf(rc1_xboole_0, axiom,  (? [A: $i] :  (v1_xboole_0 @ A) ) , file(xboole_0, rc1_xboole_0)).
thf(rc1_xcmplx_0, axiom,  (? [A: $i] :  (v1_xcmplx_0 @ A) ) , file(xcmplx_0, rc1_xcmplx_0)).
thf(rc1_xreal_0, axiom,  (? [A: $i] :  (v1_xreal_0 @ A) ) , file(xreal_0, rc1_xreal_0)).
thf(rc1_xtuple_0, axiom,  (? [A: $i] :  (v1_xtuple_0 @ A) ) , file(xtuple_0, rc1_xtuple_0)).
thf(rc1_xxreal_0, axiom,  (? [A: $i] :  (v1_xxreal_0 @ A) ) , file(xxreal_0, rc1_xxreal_0)).
thf(rc21_struct_0, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_struct_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  (u1_struct_0 @ A) ) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  (v1_zfmisc_1 @ B) ) ) ) ) ) , file(struct_0, rc21_struct_0)).
thf(rc22_struct_0, axiom,  (! [A: $i] :  ( ( ~ ( (v7_struct_0 @ A) )  &  (l1_struct_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  (u1_struct_0 @ A) ) )  &  ~ ( (v1_zfmisc_1 @ B) ) ) ) ) ) , file(struct_0, rc22_struct_0)).
thf(rc23_struct_0, axiom,  (! [A: $i] :  ( (v1_card_1 @ A)  =>  (? [B: $i] :  ( (l1_struct_0 @ B)  &  ( (v13_struct_0 @ B)  @ A) ) ) ) ) , file(struct_0, rc23_struct_0)).
thf(rc2_finset_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  (v1_finset_1 @ B) ) ) ) ) ) , file(finset_1, rc2_finset_1)).
thf(rc2_funcop_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v3_funct_1 @ A)  &  ~ ( (v1_xboole_0 @ A) ) ) ) ) ) , file(funcop_1, rc2_funcop_1)).
thf(rc2_funct_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_funct_1 @ A) ) ) ) , file(funct_1, rc2_funct_1)).
thf(rc2_int_1, axiom,  (? [A: $i] :  (v1_int_1 @ A) ) , file(int_1, rc2_int_1)).
thf(rc2_membered, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v6_membered @ A) ) ) , file(membered, rc2_membered)).
thf(rc2_nat_1, axiom,  (? [A: $i] :  ( ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @ k1_numbers) )  &  ( ~ ( (v1_xboole_0 @ A) )  &  (v3_ordinal1 @ A) ) ) ) , file(nat_1, rc2_nat_1)).
thf(rc2_valued_0, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_relat_1 @ A)  &  ( ( (v5_relat_1 @ A)  @ k3_numbers)  &  ( ( (v5_relat_1 @ A)  @ k4_numbers)  &  ( (v1_funct_1 @ A)  &  ( (v3_funct_1 @ A)  &  (v4_valued_0 @ A) ) ) ) ) ) ) ) , file(valued_0, rc2_valued_0)).
thf(rc2_valued_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  ~ ( (v1_xboole_0 @ A) ) ) ) ) ) , file(valued_1, rc2_valued_1)).
thf(rc2_xboole_0, axiom,  (? [A: $i] :  ~ ( (v1_xboole_0 @ A) ) ) , file(xboole_0, rc2_xboole_0)).
thf(rc2_xcmplx_0, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v1_xcmplx_0 @ A) ) ) , file(xcmplx_0, rc2_xcmplx_0)).
thf(rc2_xreal_0, axiom,  (? [A: $i] :  ( (v1_xcmplx_0 @ A)  &  ( (v1_xxreal_0 @ A)  &  ( (v2_xxreal_0 @ A)  &  (v1_xreal_0 @ A) ) ) ) ) , file(xreal_0, rc2_xreal_0)).
thf(rc2_xxreal_0, axiom,  (? [A: $i] :  ( (v1_xxreal_0 @ A)  &  (v2_xxreal_0 @ A) ) ) , file(xxreal_0, rc2_xxreal_0)).
thf(rc3_abian, axiom,  (? [A: $i] :  ( (v1_xxreal_0 @ A)  &  ( (v1_xcmplx_0 @ A)  &  ( (v1_xreal_0 @ A)  &  ( (v1_int_1 @ A)  &  (v1_abian @ A) ) ) ) ) ) , file(abian, rc3_abian)).
thf(rc3_card_1, axiom,  (? [A: $i] :  ~ ( (v1_finset_1 @ A) ) ) , file(card_1, rc3_card_1)).
thf(rc3_card_3, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v4_funct_1 @ A)  &  (v2_card_3 @ A) ) ) ) , file(card_3, rc3_card_3)).
thf(rc3_finset_1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finset_1 @ A) ) ) ) ) , file(finset_1, rc3_finset_1)).
thf(rc3_funcop_1, axiom,  (! [A: $i, B: $i] :  ( ~ ( (v1_xboole_0 @ B) )  =>  (? [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  &  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( ( (v5_relat_1 @ C)  @ B)  &  ( (v1_funct_1 @ C)  &  ( (v1_partfun1 @ C)  @ A) ) ) ) ) ) ) ) ) , file(funcop_1, rc3_funcop_1)).
thf(rc3_funct_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v2_relat_1 @ A)  &  (v1_funct_1 @ A) ) ) ) , file(funct_1, rc3_funct_1)).
thf(rc3_membered, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v6_membered @ A)  &  (v7_membered @ A) ) ) ) , file(membered, rc3_membered)).
thf(rc3_valued_0, axiom,  (? [A: $i] :  ( ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k5_numbers)  @ k5_numbers) ) )  &  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( ( (v5_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  ( ( (v1_partfun1 @ A)  @ k5_numbers)  &  ( ( ( (v1_funct_2 @ A)  @ k5_numbers)  @ k5_numbers)  &  ( (v1_valued_0 @ A)  &  ( (v2_valued_0 @ A)  &  ( (v3_valued_0 @ A)  &  ( (v4_valued_0 @ A)  &  (v5_valued_0 @ A) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(valued_0, rc3_valued_0)).
thf(rc3_valued_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  (v1_finset_1 @ A) ) ) ) ) ) , file(valued_1, rc3_valued_1)).
thf(rc3_xreal_0, axiom,  (? [A: $i] :  ( (v1_xcmplx_0 @ A)  &  ( (v1_xxreal_0 @ A)  &  ( (v3_xxreal_0 @ A)  &  (v1_xreal_0 @ A) ) ) ) ) , file(xreal_0, rc3_xreal_0)).
thf(rc3_xxreal_0, axiom,  (? [A: $i] :  ( (v1_xxreal_0 @ A)  &  (v3_xxreal_0 @ A) ) ) , file(xxreal_0, rc3_xxreal_0)).
thf(rc4_abian, axiom,  (? [A: $i] :  ( (v1_xxreal_0 @ A)  &  ( (v1_xcmplx_0 @ A)  &  ( (v1_xreal_0 @ A)  &  ( (v1_int_1 @ A)  &  ~ ( (v1_abian @ A) ) ) ) ) ) ) , file(abian, rc4_abian)).
thf(rc4_aofa_i00, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  ( (v2_aofa_i00 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) ) )  &  ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_card_3 @ B) )  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) ) ) ) )  =>  (? [D: $i] :  ( ( ( ( (m1_aofa_000 @ D)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C)  &  ( ~ ( (v1_xboole_0 @ D) )  &  ( (v1_relat_1 @ D)  &  ( ( (v4_relat_1 @ D)  @  ( (k2_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @  (u1_struct_0 @ A) ) )  &  ( ( (v5_relat_1 @ D)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  &  ( (v1_funct_1 @ D)  &  ( ( (v1_partfun1 @ D)  @  ( (k2_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @  (u1_struct_0 @ A) ) )  &  ( ( ( (v1_funct_2 @ D)  @  ( (k2_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @  (u1_struct_0 @ A) ) )  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  &  ( (v1_funcop_1 @ D)  &  ( (v2_funcop_1 @ D)  &  ( ( ( (v13_aofa_000 @ D)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  &  ( ( ( (v14_aofa_000 @ D)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  &  ( ( ( (v1_aofa_i00 @ D)  @ A)  @ B)  @ C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(aofa_i00, rc4_aofa_i00)).
thf(rc4_card_1, axiom,  (! [A: $i] :  ( ~ ( (v1_finset_1 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  ~ ( (v1_finset_1 @ B) ) ) ) ) ) , file(card_1, rc4_card_1)).
thf(rc4_funcop_1, axiom,  (! [A: $i] :  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) ) ) ) ) , file(funcop_1, rc4_funcop_1)).
thf(rc4_funct_1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_relat_1 @ A)  &  ( (v2_relat_1 @ A)  &  (v1_funct_1 @ A) ) ) ) ) , file(funct_1, rc4_funct_1)).
thf(rc4_struct_0, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_struct_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  (u1_struct_0 @ A) ) )  &  ~ ( (v1_xboole_0 @ B) ) ) ) ) ) , file(struct_0, rc4_struct_0)).
thf(rc4_valued_0, axiom,  (! [A: $i] :  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k5_numbers)  @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ k5_numbers)  &  ( ( (v5_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v3_funct_1 @ B)  &  ( ( (v1_funct_2 @ B)  @ k5_numbers)  @ A) ) ) ) ) ) ) ) ) , file(valued_0, rc4_valued_0)).
thf(rc4_valued_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  ( (v1_finset_1 @ A)  &  ( (v3_card_1 @ A)  @ np__1) ) ) ) ) ) , file(valued_1, rc4_valued_1)).
thf(rc4_xreal_0, axiom,  (? [A: $i] :  ( (v1_xboole_0 @ A)  &  ( (v1_xcmplx_0 @ A)  &  ( (v1_xxreal_0 @ A)  &  (v1_xreal_0 @ A) ) ) ) ) , file(xreal_0, rc4_xreal_0)).
thf(rc4_xxreal_0, axiom,  (? [A: $i] :  ( (v1_xboole_0 @ A)  &  (v1_xxreal_0 @ A) ) ) , file(xxreal_0, rc4_xxreal_0)).
thf(rc5_aofa_000, axiom,  (? [A: $i] :  ( ~ ( (v1_finset_1 @ A) )  &  (v1_freealg @ A) ) ) , file(aofa_000, rc5_aofa_000)).
thf(rc5_card_1, axiom,  (! [A: $i] :  ( (v1_card_1 @ A)  =>  (? [B: $i] :  ( (v3_card_1 @ B)  @ A) ) ) ) , file(card_1, rc5_card_1)).
thf(rc5_card_3, axiom,  (? [A: $i] :  (v5_card_3 @ A) ) , file(card_3, rc5_card_3)).
thf(rc5_finset_1, axiom,  (! [A: $i, B: $i] :  (? [C: $i] :  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( ( (v5_relat_1 @ C)  @ B)  &  ( (v1_funct_1 @ C)  &  (v1_finset_1 @ C) ) ) ) ) ) ) , file(finset_1, rc5_finset_1)).
thf(rc5_funct_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ~ ( (v3_funct_1 @ A) ) ) ) ) , file(funct_1, rc5_funct_1)).
thf(rc5_valued_0, axiom,  (! [A: $i] :  ( ~ ( (v2_setfam_1 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k5_numbers)  @ A) ) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ k5_numbers)  &  ( ( (v5_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( ( (v1_partfun1 @ B)  @ k5_numbers)  &  ( ( (v1_funct_2 @ B)  @ k5_numbers)  @ A) ) ) ) ) ) ) ) ) ) ) ) , file(valued_0, rc5_valued_0)).
thf(rc5_valued_1, axiom,  (! [A: $i] :  (? [B: $i] :  ( (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) ) ) ) ) ) ) ) ) ) ) , file(valued_1, rc5_valued_1)).
thf(rc6_abian, axiom,  (! [A: $i, B: $i] :  ( ~ ( (v2_setfam_1 @ B) )  =>  (? [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  &  ( (v1_relat_1 @ C)  &  ( (v2_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( ( (v5_relat_1 @ C)  @ B)  &  ( (v1_funct_1 @ C)  &  ( ( (v1_funct_2 @ C)  @ A)  @ B) ) ) ) ) ) ) ) ) ) , file(abian, rc6_abian)).
thf(rc6_card_1, axiom,  (! [A: $i] :  ( (v1_card_1 @ A)  =>  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  ( (v3_card_1 @ B)  @ A) ) ) ) ) ) , file(card_1, rc6_card_1)).
thf(rc6_card_3, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ~ ( (v1_finset_1 @ A) ) ) ) ) , file(card_3, rc6_card_3)).
thf(rc6_finset_1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ~ ( (v1_xboole_0 @ B) ) )  =>  (? [C: $i] :  ( ~ ( (v1_xboole_0 @ C) )  &  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( ( (v5_relat_1 @ C)  @ B)  &  ( (v1_funct_1 @ C)  &  (v1_finset_1 @ C) ) ) ) ) ) ) ) ) , file(finset_1, rc6_finset_1)).
thf(rc6_funct_1, axiom,  (! [A: $i, B: $i] :  (? [C: $i] :  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( ( (v5_relat_1 @ C)  @ B)  &  (v1_funct_1 @ C) ) ) ) ) ) , file(funct_1, rc6_funct_1)).
thf(rc6_valued_0, axiom,  (! [A: $i] :  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( ( (v1_partfun1 @ B)  @ A)  &  (v4_valued_0 @ B) ) ) ) ) ) ) , file(valued_0, rc6_valued_0)).
thf(rc7_aofa_000, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v15_aofa_000 @ B)  @ A) ) ) ) ) , file(aofa_000, rc7_aofa_000)).
thf(rc7_card_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  ( (v3_card_1 @ B)  @ np__1) ) ) ) ) , file(card_1, rc7_card_1)).
thf(rc7_finset_1, axiom,  (! [A: $i] :  ( ~ ( (v1_zfmisc_1 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  ( ~ ( (v1_zfmisc_1 @ B) )  &  (v1_finset_1 @ B) ) ) ) ) ) , file(finset_1, rc7_finset_1)).
thf(rc7_funct_1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v4_funct_1 @ A) ) ) , file(funct_1, rc7_funct_1)).
thf(rc8_finset_1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_finset_1 @ A)  &  (v5_finset_1 @ A) ) ) ) , file(finset_1, rc8_finset_1)).
thf(rc9_finset_1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_finset_1 @ A) ) ) ) ) , file(finset_1, rc9_finset_1)).
thf(rc9_funct_1, axiom,  (! [A: $i] :  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  (v1_funct_1 @ B) ) ) ) ) ) , file(funct_1, rc9_funct_1)).
thf(redefinition_k15_funct_7, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ A)  @ B)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  ( (m1_subset_1 @ E)  @ B) )  =>  ( (= @  ( ( ( ( (k15_funct_7 @ A)  @ B)  @ C)  @ D)  @ E) )  @  ( ( (k2_funct_7 @ C)  @ D)  @ E) ) ) ) , file(funct_7, k15_funct_7)).
thf(redefinition_k1_nat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v7_ordinal1 @ A)  &  ( (m1_subset_1 @ B)  @ k5_numbers) )  =>  ( (= @  ( (k1_nat_1 @ A)  @ B) )  @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) , file(nat_1, k1_nat_1)).
thf(redefinition_k1_pua2mss1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (m1_finseq_1 @ B)  @  ( (k4_partfun1 @  (k3_finseq_2 @ A) )  @ A) ) )  =>  ( (= @  ( (k1_pua2mss1 @ A)  @ B) )  @  (k10_xtuple_0 @ B) ) ) ) , file(pua2mss1, k1_pua2mss1)).
thf(redefinition_k21_aofa_i00, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( ( (m1_subset_1 @ C)  @  ( (k9_funct_2 @ A)  @ B) )  &  ( (m1_subset_1 @ D)  @ A) ) ) )  =>  ( (= @  ( ( ( (k21_aofa_i00 @ A)  @ B)  @ C)  @ D) )  @  ( (k1_funct_1 @ C)  @ D) ) ) ) , file(aofa_i00, k21_aofa_i00)).
thf(redefinition_k29_aofa_i00, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  ( (v2_aofa_i00 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) ) )  &  ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_card_3 @ B) )  &  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) ) )  &  ( ( ( ( ( (v1_aofa_i00 @ D)  @ A)  @ B)  @ C)  &  ( ( ( (m1_aofa_000 @ D)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C) )  &  ( ( ( ( ( (m3_aofa_i00 @ E)  @ A)  @ B)  @ C)  @ D)  &  (v1_int_1 @ F) ) ) ) ) )  =>  ( (= @  ( ( ( ( ( (k29_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E)  @ F) )  @  ( (k7_valued_1 @ E)  @ F) ) ) ) , file(aofa_i00, k29_aofa_i00)).
thf(redefinition_k2_binop_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @  ( (k2_zfmisc_1 @ A)  @ B) )  @ C)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) )  @ C) ) ) ) )  &  ( ( (m1_subset_1 @ E)  @ A)  &  ( (m1_subset_1 @ F)  @ B) ) ) ) )  =>  ( (= @  ( ( ( ( ( (k2_binop_1 @ A)  @ B)  @ C)  @ D)  @ E)  @ F) )  @  ( ( (k1_binop_1 @ D)  @ E)  @ F) ) ) ) , file(binop_1, k2_binop_1)).
thf(redefinition_k2_finseq_4, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ( (m1_subset_1 @ B)  @ A)  &  ( (m1_subset_1 @ C)  @ A) ) )  =>  ( (= @  ( ( (k2_finseq_4 @ A)  @ B)  @ C) )  @  ( (k10_finseq_1 @ B)  @ C) ) ) ) , file(finseq_4, k2_finseq_4)).
thf(redefinition_k2_nat_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (m1_subset_1 @ A)  @ k5_numbers)  &  (v7_ordinal1 @ B) )  =>  ( (= @  ( (k2_nat_1 @ A)  @ B) )  @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) , file(nat_1, k2_nat_1)).
thf(redefinition_k2_relset_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v5_relat_1 @ B)  @ A) )  =>  ( (= @  ( (k2_relset_1 @ A)  @ B) )  @  (k10_xtuple_0 @ B) ) ) ) , file(relset_1, k2_relset_1)).
thf(redefinition_k37_aofa_i00, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  ( (v2_aofa_i00 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) ) )  &  ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_card_3 @ B) )  &  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) ) )  &  ( ( ( ( ( (v1_aofa_i00 @ D)  @ A)  @ B)  @ C)  &  ( ( ( (m1_aofa_000 @ D)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ C) )  &  ( ( ( ( ( (m3_aofa_i00 @ E)  @ A)  @ B)  @ C)  @ D)  &  ( ( ( ( (m3_aofa_i00 @ F)  @ A)  @ B)  @ C)  @ D) ) ) ) ) )  =>  ( (= @  ( ( ( ( ( (k37_aofa_i00 @ A)  @ B)  @ C)  @ D)  @ E)  @ F) )  @  ( (k4_aofa_i00 @ E)  @ F) ) ) ) , file(aofa_i00, k37_aofa_i00)).
thf(redefinition_k3_finseq_2, axiom,  (! [A: $i] :  ( (= @  (k3_finseq_2 @ A) )  @  (k13_finseq_1 @ A) ) ) , file(finseq_2, k3_finseq_2)).
thf(redefinition_k3_funct_2, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ A)  @ B)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  ( (m1_subset_1 @ D)  @ A) ) )  =>  ( (= @  ( ( ( (k3_funct_2 @ A)  @ B)  @ C)  @ D) )  @  ( (k1_funct_1 @ C)  @ D) ) ) ) , file(funct_2, k3_funct_2)).
thf(redefinition_k3_real_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xreal_0 @ A)  &  ( (m1_subset_1 @ B)  @ k1_numbers) )  =>  ( (= @  ( (k3_real_1 @ A)  @ B) )  @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) , file(real_1, k3_real_1)).
thf(redefinition_k4_finseq_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) )  =>  ( (= @  (k4_finseq_1 @ A) )  @  (k9_xtuple_0 @ A) ) ) ) , file(finseq_1, k4_finseq_1)).
thf(redefinition_k5_numbers, axiom,  ( (= @ k5_numbers)  @ k4_ordinal1) , file(numbers, k5_numbers)).
thf(redefinition_k6_numbers, axiom,  ( (= @ k6_numbers)  @ k1_xboole_0) , file(numbers, k6_numbers)).
thf(redefinition_k6_subset_1, axiom,  (! [A: $i, B: $i] :  ( (= @  ( (k6_subset_1 @ A)  @ B) )  @  ( (k4_xboole_0 @ A)  @ B) ) ) , file(subset_1, k6_subset_1)).
thf(redefinition_k7_subset_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  ( (= @  ( ( (k7_subset_1 @ A)  @ B)  @ C) )  @  ( (k4_xboole_0 @ B)  @ C) ) ) ) , file(subset_1, k7_subset_1)).
thf(redefinition_k8_funcop_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (m1_subset_1 @ C)  @ A) )  =>  ( (= @  ( ( (k8_funcop_1 @ A)  @ B)  @ C) )  @  ( (k2_funcop_1 @ B)  @ C) ) ) ) , file(funcop_1, k8_funcop_1)).
thf(redefinition_k9_funct_2, axiom,  (! [A: $i, B: $i] :  ( ~ ( (v1_xboole_0 @ B) )  =>  ( (= @  ( (k9_funct_2 @ A)  @ B) )  @  ( (k1_funct_2 @ A)  @ B) ) ) ) , file(funct_2, k9_funct_2)).
thf(redefinition_m1_pua2mss1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( ~ ( (v1_xboole_0 @ C) )  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k4_partfun1 @ A)  @ B) ) ) ) ) )  =>  (! [D: $i] :  ( ( ( ( (m1_pua2mss1 @ D)  @ A)  @ B)  @ C)  <=>  ( (m1_subset_1 @ D)  @ C) ) ) ) ) , file(pua2mss1, m1_pua2mss1)).
thf(redefinition_m2_finseq_1, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (m2_finseq_1 @ B)  @ A)  <=>  ( (m1_finseq_1 @ B)  @ A) ) ) ) , file(finseq_1, m2_finseq_1)).
thf(redefinition_m2_funct_2, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ B) )  &  ( ( (m1_funct_2 @ C)  @ A)  @ B) )  =>  (! [D: $i] :  ( ( ( ( (m2_funct_2 @ D)  @ A)  @ B)  @ C)  <=>  ( (m1_subset_1 @ D)  @ C) ) ) ) ) , file(funct_2, m2_funct_2)).
thf(redefinition_m2_subset_1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) ) ) )  =>  (! [C: $i] :  ( ( ( (m2_subset_1 @ C)  @ A)  @ B)  <=>  ( (m1_subset_1 @ C)  @ B) ) ) ) ) , file(subset_1, m2_subset_1)).
thf(reflexivity_r1_tarski, axiom,  (! [A: $i, B: $i] :  ( (r1_tarski @ A)  @ A) ) , file(tarski, r1_tarski)).
thf(reflexivity_r1_xxreal_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xxreal_0 @ A)  &  (v1_xxreal_0 @ B) )  =>  ( (r1_xxreal_0 @ A)  @ A) ) ) , file(xxreal_0, r1_xxreal_0)).
thf(rqLessOrEqual__r1_xxreal_0__r0_r0, axiom,  ( (r1_xxreal_0 @ np__0)  @ np__0) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_r0)).
thf(rqLessOrEqual__r1_xxreal_0__r0_r1, axiom,  ( (r1_xxreal_0 @ np__0)  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_r1)).
thf(rqLessOrEqual__r1_xxreal_0__r0_r2, axiom,  ( (r1_xxreal_0 @ np__0)  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_r2)).
thf(rqLessOrEqual__r1_xxreal_0__r0_r3, axiom,  ( (r1_xxreal_0 @ np__0)  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_r3)).
thf(rqLessOrEqual__r1_xxreal_0__r0_r4, axiom,  ( (r1_xxreal_0 @ np__0)  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_r4)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rm1, axiom,  ~ ( ( (r1_xxreal_0 @ np__0)  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rm2, axiom,  ~ ( ( (r1_xxreal_0 @ np__0)  @  (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rm3, axiom,  ~ ( ( (r1_xxreal_0 @ np__0)  @  (k4_xcmplx_0 @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rm4, axiom,  ~ ( ( (r1_xxreal_0 @ np__0)  @  (k4_xcmplx_0 @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rm4)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rn1d2, axiom,  ( (r1_xxreal_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rn1d3, axiom,  ( (r1_xxreal_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rn1d3)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rn1d4, axiom,  ( (r1_xxreal_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rn2d3, axiom,  ( (r1_xxreal_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rn2d3)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rn3d2, axiom,  ( (r1_xxreal_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rn3d2)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rn3d4, axiom,  ( (r1_xxreal_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rn3d4)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rn4d3, axiom,  ( (r1_xxreal_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rn4d3)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rnm1d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__0)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rnm1d3, axiom,  ~ ( ( (r1_xxreal_0 @ np__0)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rnm1d3)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rnm1d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__0)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rnm1d4)).
thf(rqLessOrEqual__r1_xxreal_0__r1_r0, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @ np__0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_r0)).
thf(rqLessOrEqual__r1_xxreal_0__r1_r1, axiom,  ( (r1_xxreal_0 @ np__1)  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_r1)).
thf(rqLessOrEqual__r1_xxreal_0__r1_r2, axiom,  ( (r1_xxreal_0 @ np__1)  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_r2)).
thf(rqLessOrEqual__r1_xxreal_0__r1_r3, axiom,  ( (r1_xxreal_0 @ np__1)  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_r3)).
thf(rqLessOrEqual__r1_xxreal_0__r1_r4, axiom,  ( (r1_xxreal_0 @ np__1)  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_r4)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rm1, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rm2, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rm3, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  (k4_xcmplx_0 @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rm4, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  (k4_xcmplx_0 @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rm4)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rn1d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rn1d3, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rn1d3)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rn1d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rn2d3, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rn2d3)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rn3d2, axiom,  ( (r1_xxreal_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rn3d2)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rn3d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rn3d4)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rn4d3, axiom,  ( (r1_xxreal_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rn4d3)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rnm1d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rnm1d3, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rnm1d3)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rnm1d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rnm1d4)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rnm3d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rnm3d4)).
thf(rqLessOrEqual__r1_xxreal_0__r2_r0, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @ np__0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_r0)).
thf(rqLessOrEqual__r1_xxreal_0__r2_r1, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @ np__1) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_r1)).
thf(rqLessOrEqual__r1_xxreal_0__r2_r2, axiom,  ( (r1_xxreal_0 @ np__2)  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_r2)).
thf(rqLessOrEqual__r1_xxreal_0__r2_r3, axiom,  ( (r1_xxreal_0 @ np__2)  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_r3)).
thf(rqLessOrEqual__r1_xxreal_0__r2_r4, axiom,  ( (r1_xxreal_0 @ np__2)  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_r4)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rm1, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rm2, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rm3, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  (k4_xcmplx_0 @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rm4, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  (k4_xcmplx_0 @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rm4)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rn1d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rn1d3, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rn1d3)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rn1d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rn2d3, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rn2d3)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rn3d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rn3d2)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rn3d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rn3d4)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rnm1d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rnm1d3, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rnm1d3)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rnm1d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rnm1d4)).
thf(rqLessOrEqual__r1_xxreal_0__r3_r0, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @ np__0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_r0)).
thf(rqLessOrEqual__r1_xxreal_0__r3_r1, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @ np__1) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_r1)).
thf(rqLessOrEqual__r1_xxreal_0__r3_r2, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_r2)).
thf(rqLessOrEqual__r1_xxreal_0__r3_r3, axiom,  ( (r1_xxreal_0 @ np__3)  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_r3)).
thf(rqLessOrEqual__r1_xxreal_0__r3_r4, axiom,  ( (r1_xxreal_0 @ np__3)  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_r4)).
thf(rqLessOrEqual__r1_xxreal_0__r3_rm1, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__r3_rm2, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @  (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__r3_rm3, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @  (k4_xcmplx_0 @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__r3_rn1d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r3_rn1d3, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_rn1d3)).
thf(rqLessOrEqual__r1_xxreal_0__r3_rn1d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__r3_rn2d3, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_rn2d3)).
thf(rqLessOrEqual__r1_xxreal_0__r3_rn3d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_rn3d2)).
thf(rqLessOrEqual__r1_xxreal_0__r3_rn3d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_rn3d4)).
thf(rqLessOrEqual__r1_xxreal_0__r3_rnm1d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r3_rnm1d3, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_rnm1d3)).
thf(rqLessOrEqual__r1_xxreal_0__r4_r0, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @ np__0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_r0)).
thf(rqLessOrEqual__r1_xxreal_0__r4_r1, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @ np__1) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_r1)).
thf(rqLessOrEqual__r1_xxreal_0__r4_r2, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_r2)).
thf(rqLessOrEqual__r1_xxreal_0__r4_r3, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_r3)).
thf(rqLessOrEqual__r1_xxreal_0__r4_r4, axiom,  ( (r1_xxreal_0 @ np__4)  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_r4)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rm1, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rm2, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @  (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rm3, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @  (k4_xcmplx_0 @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rm4, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @  (k4_xcmplx_0 @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_rm4)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rn1d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rn1d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rn3d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_rn3d2)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rn3d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_rn3d4)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rnm1d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rnm1d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_rnm1d4)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rnm3d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_rnm3d4)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_r0, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @ np__0) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_r1, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_r2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_r3, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_r4, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_r4)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rm1, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rm2, axiom,  ~ ( ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rm3, axiom,  ~ ( ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rm4, axiom,  ~ ( ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rm4)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rn1d2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rn1d3, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rn1d3)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rn1d4, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rn2d3, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rn2d3)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rn3d2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rn3d2)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rn3d4, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rn3d4)).
thf(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) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rnm1d2)).
thf(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) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rnm1d3)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rnm1d4, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rnm1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_r0, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__2) )  @ np__0) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_r1, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__2) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_r2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__2) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_r3, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_r4, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__2) )  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_r4)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_rm1, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_rm2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_rm3, axiom,  ~ ( ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__2) )  @  (k4_xcmplx_0 @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_rn1d2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_rn1d4, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_r0, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__3) )  @ np__0) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm3_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_r1, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__3) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm3_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_r2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm3_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_r3, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__3) )  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm3_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_r4, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm3_r4)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_rm1, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__3) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm3_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_rm2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__3) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm3_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_rm3, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__3) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm3_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_rn1d2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm3_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_rn1d4, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm3_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_rnm3d4, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm3_rnm3d4)).
thf(rqLessOrEqual__r1_xxreal_0__rm4_r0, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__4) )  @ np__0) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm4_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rm4_r1, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__4) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm4_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rm4_r2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__4) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm4_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rm4_r4, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__4) )  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm4_r4)).
thf(rqLessOrEqual__r1_xxreal_0__rm4_rm1, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__4) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm4_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rm4_rm2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__4) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm4_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__rm4_rm4, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__4) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm4_rm4)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_r0, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_r1, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_r2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_r3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_r4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_r4)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_rm1, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_rm2, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_rm3, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  (k4_xcmplx_0 @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d4, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_rn2d3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rn2d3)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_rn3d2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rn3d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_rn3d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rn3d4)).
thf(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) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_rnm1d4, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rnm1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d3_r0, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @ np__0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d3_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d3_r1, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d3_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d3_r2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d3_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d3_r3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d3_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d3_rm1, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d3_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d3_rn1d3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d3_rn1d3)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d3_rn2d3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d3_rn2d3)).
thf(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) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d3_rnm1d3)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_r0, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_r1, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_r2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_r3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_r4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_r4)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_rm1, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_rm2, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_rm3, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  (k4_xcmplx_0 @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_rn1d2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_rn1d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_rn3d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_rn3d4)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_rnm1d2, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_rnm1d4, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_rnm1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_rnm3d4, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_rnm3d4)).
thf(rqLessOrEqual__r1_xxreal_0__rn2d3_r0, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @ np__0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn2d3_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rn2d3_r1, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn2d3_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rn2d3_r2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn2d3_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rn2d3_r3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn2d3_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rn2d3_rm1, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn2d3_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rn2d3_rn1d2, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn2d3_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn2d3_rn1d3, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn2d3_rn1d3)).
thf(rqLessOrEqual__r1_xxreal_0__rn2d3_rn2d3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn2d3_rn2d3)).
thf(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) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn2d3_rnm1d3)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d2_r0, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @ np__0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d2_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d2_r1, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @ np__1) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d2_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d2_r2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d2_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d2_r3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d2_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d2_r4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d2_r4)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d2_rm1, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d2_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d2_rn1d2, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d2_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d2_rn3d2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d2_rn3d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d2_rn3d4, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d2_rn3d4)).
thf(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) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d2_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d4_r0, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @ np__0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d4_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d4_r1, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d4_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d4_r2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d4_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d4_r3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d4_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d4_r4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d4_r4)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d4_rm1, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d4_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d4_rn1d2, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d4_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d4_rn1d4, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d4_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d4_rn3d2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d4_rn3d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d4_rn3d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d4_rn3d4)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d4_rnm1d2, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d4_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d4_rnm1d4, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d4_rnm1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d4_rnm3d4, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d4_rnm3d4)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_r0, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__0) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_r1, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_r2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_r3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_r4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_r4)).
thf(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) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_rm1)).
thf(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) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn1d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_rn1d4)).
thf(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) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_rn3d2)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn3d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_rn3d4)).
thf(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) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_rnm1d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_rnm1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d3_r0, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @ np__0) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d3_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d3_r1, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d3_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d3_r2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d3_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d3_r3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d3_r3)).
thf(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) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d3_rm1)).
thf(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) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d3_rn1d3)).
thf(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) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d3_rn2d3)).
thf(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) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d3_rnm1d3)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d4_r0, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @ np__0) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d4_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d4_r1, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d4_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d4_r2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d4_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d4_r3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d4_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d4_r4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d4_r4)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d4_rm1, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d4_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d4_rn1d2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d4_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d4_rn1d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d4_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d4_rn3d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d4_rn3d4)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d4_rnm1d2, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d4_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d4_rnm1d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d4_rnm1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d4_rnm3d4, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d4_rnm3d4)).
thf(rqLessOrEqual__r1_xxreal_0__rnm3d4_r0, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @ np__0) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm3d4_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rnm3d4_r1, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm3d4_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rnm3d4_r3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm3d4_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rnm3d4_r4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm3d4_r4)).
thf(rqLessOrEqual__r1_xxreal_0__rnm3d4_rm3, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  (k4_xcmplx_0 @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm3d4_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__rnm3d4_rn1d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm3d4_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rnm3d4_rn3d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm3d4_rn3d4)).
thf(rqLessOrEqual__r1_xxreal_0__rnm3d4_rnm1d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm3d4_rnm1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rnm3d4_rnm3d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm3d4_rnm3d4)).
thf(rqRealAdd__k2_xcmplx_0__r0_r0_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @ np__0) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_r0_r0)).
thf(rqRealAdd__k2_xcmplx_0__r0_r1_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @ np__1) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_r1_r1)).
thf(rqRealAdd__k2_xcmplx_0__r0_r2_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @ np__2) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_r2_r2)).
thf(rqRealAdd__k2_xcmplx_0__r0_r3_r3, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @ np__3) )  @ np__3) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_r3_r3)).
thf(rqRealAdd__k2_xcmplx_0__r0_r4_r4, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @ np__4) )  @ np__4) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_r4_r4)).
thf(rqRealAdd__k2_xcmplx_0__r0_rm1_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @  (k4_xcmplx_0 @ np__1) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rm1_rm1)).
thf(rqRealAdd__k2_xcmplx_0__r0_rm2_rm2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @  (k4_xcmplx_0 @ np__2) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rm2_rm2)).
thf(rqRealAdd__k2_xcmplx_0__r0_rm3_rm3, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @  (k4_xcmplx_0 @ np__3) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rm3_rm3)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rn1d2_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__r0_rn1d4_rn1d4, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rn1d4_rn1d4)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rn2d3_rn2d3)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rn3d2_rn3d2)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rnm1d2_rnm1d2)).
thf(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @ np__0) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_r0_r1)).
thf(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @ np__1) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_r1_r2)).
thf(rqRealAdd__k2_xcmplx_0__r1_r2_r3, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @ np__2) )  @ np__3) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_r2_r3)).
thf(rqRealAdd__k2_xcmplx_0__r1_r3_r4, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @ np__3) )  @ np__4) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_r3_r4)).
thf(rqRealAdd__k2_xcmplx_0__r1_rm1_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__1) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rm1_r0)).
thf(rqRealAdd__k2_xcmplx_0__r1_rm2_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rm2_rm1)).
thf(rqRealAdd__k2_xcmplx_0__r1_rm3_rm2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__3) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rm3_rm2)).
thf(rqRealAdd__k2_xcmplx_0__r1_rm4_rm3, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__4) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rm4_rm3)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rn1d2_rn3d2)).
thf(rqRealAdd__k2_xcmplx_0__r1_rn1d3_rn4d3, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rn1d3_rn4d3)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rnm1d3_rn2d3)).
thf(rqRealAdd__k2_xcmplx_0__r1_rnm1d4_rn3d4, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rnm1d4_rn3d4)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rnm2d3_rn1d3)).
thf(rqRealAdd__k2_xcmplx_0__r1_rnm3d4_rn1d4, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rnm3d4_rn1d4)).
thf(rqRealAdd__k2_xcmplx_0__r2_r0_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__2)  @ np__0) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_r0_r2)).
thf(rqRealAdd__k2_xcmplx_0__r2_r1_r3, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__2)  @ np__1) )  @ np__3) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_r1_r3)).
thf(rqRealAdd__k2_xcmplx_0__r2_r2_r4, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__2)  @ np__2) )  @ np__4) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_r2_r4)).
thf(rqRealAdd__k2_xcmplx_0__r2_rm1_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__2)  @  (k4_xcmplx_0 @ np__1) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_rm1_r1)).
thf(rqRealAdd__k2_xcmplx_0__r2_rm2_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__2)  @  (k4_xcmplx_0 @ np__2) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_rm2_r0)).
thf(rqRealAdd__k2_xcmplx_0__r2_rm3_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__2)  @  (k4_xcmplx_0 @ np__3) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_rm3_rm1)).
thf(rqRealAdd__k2_xcmplx_0__r2_rm4_rm2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__2)  @  (k4_xcmplx_0 @ np__4) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_rm4_rm2)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_rnm1d2_rn3d2)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_rnm3d2_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__r3_r0_r3, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__3)  @ np__0) )  @ np__3) , file(arithm, rqRealAdd__k2_xcmplx_0__r3_r0_r3)).
thf(rqRealAdd__k2_xcmplx_0__r3_r1_r4, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__3)  @ np__1) )  @ np__4) , file(arithm, rqRealAdd__k2_xcmplx_0__r3_r1_r4)).
thf(rqRealAdd__k2_xcmplx_0__r3_rm1_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__3)  @  (k4_xcmplx_0 @ np__1) ) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__r3_rm1_r2)).
thf(rqRealAdd__k2_xcmplx_0__r3_rm2_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__3)  @  (k4_xcmplx_0 @ np__2) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__r3_rm2_r1)).
thf(rqRealAdd__k2_xcmplx_0__r3_rm3_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__3)  @  (k4_xcmplx_0 @ np__3) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__r3_rm3_r0)).
thf(rqRealAdd__k2_xcmplx_0__r3_rm4_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__3)  @  (k4_xcmplx_0 @ np__4) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r3_rm4_rm1)).
thf(rqRealAdd__k2_xcmplx_0__r4_r0_r4, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__4)  @ np__0) )  @ np__4) , file(arithm, rqRealAdd__k2_xcmplx_0__r4_r0_r4)).
thf(rqRealAdd__k2_xcmplx_0__r4_rm1_r3, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__4)  @  (k4_xcmplx_0 @ np__1) ) )  @ np__3) , file(arithm, rqRealAdd__k2_xcmplx_0__r4_rm1_r3)).
thf(rqRealAdd__k2_xcmplx_0__r4_rm2_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__4)  @  (k4_xcmplx_0 @ np__2) ) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__r4_rm2_r2)).
thf(rqRealAdd__k2_xcmplx_0__r4_rm3_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__4)  @  (k4_xcmplx_0 @ np__3) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__r4_rm3_r1)).
thf(rqRealAdd__k2_xcmplx_0__r4_rm4_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__4)  @  (k4_xcmplx_0 @ np__4) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__r4_rm4_r0)).
thf(rqRealAdd__k2_xcmplx_0__rm1_r0_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__0) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_r0_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rm1_r1_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__1) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_r1_r0)).
thf(rqRealAdd__k2_xcmplx_0__rm1_r2_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_r2_r1)).
thf(rqRealAdd__k2_xcmplx_0__rm1_r3_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_r3_r2)).
thf(rqRealAdd__k2_xcmplx_0__rm1_r4_r3, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @ np__3) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_r4_r3)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_rm2_rm3)).
thf(rqRealAdd__k2_xcmplx_0__rm1_rm3_rm4, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__3) ) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_rm3_rm4)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_rn1d2_rnm1d2)).
thf(rqRealAdd__k2_xcmplx_0__rm1_rn1d4_rnm3d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_rn1d4_rnm3d4)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_rn2d3_rnm1d3)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_rn3d2_rn1d2)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_rnm1d2_rnm3d2)).
thf(rqRealAdd__k2_xcmplx_0__rm2_r1_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__1) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_r1_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rm2_r2_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__2) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_r2_r0)).
thf(rqRealAdd__k2_xcmplx_0__rm2_r3_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_r3_r1)).
thf(rqRealAdd__k2_xcmplx_0__rm2_r4_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__4) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_r4_r2)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_rm1_rm3)).
thf(rqRealAdd__k2_xcmplx_0__rm2_rm2_rm4, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_rm2_rm4)).
thf(rqRealAdd__k2_xcmplx_0__rm2_rn2d3_rnm4d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_rn2d3_rnm4d3)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_rn3d2_rnm1d2)).
thf(rqRealAdd__k2_xcmplx_0__rm2_rn4d3_rnm2d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_rn4d3_rnm2d3)).
thf(rqRealAdd__k2_xcmplx_0__rm3_r1_rm2, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__1) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm3_r1_rm2)).
thf(rqRealAdd__k2_xcmplx_0__rm3_r2_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm3_r2_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rm3_r3_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__3) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rm3_r3_r0)).
thf(rqRealAdd__k2_xcmplx_0__rm3_r4_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rm3_r4_r1)).
thf(rqRealAdd__k2_xcmplx_0__rm3_rm1_rm4, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @  (k4_xcmplx_0 @ np__1) ) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm3_rm1_rm4)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm3_rn3d2_rnm3d2)).
thf(rqRealAdd__k2_xcmplx_0__rm4_r1_rm3, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__1) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm4_r1_rm3)).
thf(rqRealAdd__k2_xcmplx_0__rm4_r2_rm2, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm4_r2_rm2)).
thf(rqRealAdd__k2_xcmplx_0__rm4_r3_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm4_r3_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rm4_r4_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__4) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rm4_r4_r0)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_r0_rn1d2)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_r1_rn3d2)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rm1_rnm1d2)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rm2_rnm3d2)).
thf(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) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rn1d2_r1)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_rn1d4_rn3d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rn1d4_rn3d4)).
thf(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) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rn3d2_r2)).
thf(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) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d4_rn1d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d4_rn1d4)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d2_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d4_rnm1d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d4_rnm1d4)).
thf(rqRealAdd__k2_xcmplx_0__rn1d3_r1_rn4d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d3_r1_rn4d3)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d3_rn1d3_rn2d3)).
thf(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) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d3_rn2d3_r1)).
thf(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) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d3_rnm1d3_r0)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d3_rnm2d3_rnm1d3)).
thf(rqRealAdd__k2_xcmplx_0__rn1d4_r0_rn1d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__0) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d4_r0_rn1d4)).
thf(rqRealAdd__k2_xcmplx_0__rn1d4_rm1_rnm3d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d4_rm1_rnm3d4)).
thf(rqRealAdd__k2_xcmplx_0__rn1d4_rn1d2_rn3d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d4_rn1d2_rn3d4)).
thf(rqRealAdd__k2_xcmplx_0__rn1d4_rn1d4_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d4_rn1d4_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__rn1d4_rn3d4_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d4_rn3d4_r1)).
thf(rqRealAdd__k2_xcmplx_0__rn1d4_rnm1d2_rnm1d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d4_rnm1d2_rnm1d4)).
thf(rqRealAdd__k2_xcmplx_0__rn1d4_rnm1d4_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d4_rnm1d4_r0)).
thf(rqRealAdd__k2_xcmplx_0__rn1d4_rnm3d4_rnm1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d4_rnm3d4_rnm1d2)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn2d3_r0_rn2d3)).
thf(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) , file(arithm, rqRealAdd__k2_xcmplx_0__rn2d3_rn1d3_r1)).
thf(rqRealAdd__k2_xcmplx_0__rn2d3_rn2d3_rn4d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn2d3_rn2d3_rn4d3)).
thf(rqRealAdd__k2_xcmplx_0__rn2d3_rn4d3_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__rn2d3_rn4d3_r2)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn2d3_rnm1d3_rn1d3)).
thf(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) , file(arithm, rqRealAdd__k2_xcmplx_0__rn2d3_rnm2d3_r0)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d2_r0_rn3d2)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d2_rm1_rn1d2)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d2_rm2_rnm1d2)).
thf(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) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d2_rn1d2_r2)).
thf(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) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d2_rn3d2_r3)).
thf(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) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d2_rnm1d2_r1)).
thf(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) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d2_rnm3d2_r0)).
thf(rqRealAdd__k2_xcmplx_0__rn3d4_rn1d4_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d4_rn1d4_r1)).
thf(rqRealAdd__k2_xcmplx_0__rn3d4_rn3d4_rn3d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d4_rn3d4_rn3d2)).
thf(rqRealAdd__k2_xcmplx_0__rn3d4_rnm1d2_rn1d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d4_rnm1d2_rn1d4)).
thf(rqRealAdd__k2_xcmplx_0__rn3d4_rnm1d4_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d4_rnm1d4_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__rn3d4_rnm3d2_rnm3d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d4_rnm3d2_rnm3d4)).
thf(rqRealAdd__k2_xcmplx_0__rn3d4_rnm3d4_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d4_rnm3d4_r0)).
thf(rqRealAdd__k2_xcmplx_0__rn4d3_rn2d3_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__rn4d3_rn2d3_r2)).
thf(rqRealAdd__k2_xcmplx_0__rn4d3_rnm1d3_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rn4d3_rnm1d3_r1)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_r1_rn1d2)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_r2_rn3d2)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_rm1_rnm3d2)).
thf(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) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d2_r0)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d4_rnm1d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d4_rnm1d4)).
thf(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) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_rn3d2_r1)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d2_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d4_rnm3d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d4_rnm3d4)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_rnm3d2_rm2)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d3_r1_rn2d3)).
thf(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) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d3_rn1d3_r0)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d3_rn2d3_rn1d3)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d3_rn4d3_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d3_rn4d3_r1)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d3_rnm1d3_rnm2d3)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d3_rnm2d3_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d4_r1_rn3d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d4_r1_rn3d4)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d4_rn1d2_rn1d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d4_rn1d2_rn1d4)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d4_rn1d4_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d4_rn1d4_r0)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d4_rn3d4_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d4_rn3d4_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d4_rnm1d2_rnm3d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d4_rnm1d2_rnm3d4)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d4_rnm1d4_rnm1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d4_rnm1d4_rnm1d2)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d4_rnm3d4_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d4_rnm3d4_rm1)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm2d3_r1_rn1d3)).
thf(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) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm2d3_rn2d3_r0)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm2d3_rnm1d3_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rnm2d3_rnm2d3_rnm4d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm2d3_rnm2d3_rnm4d3)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d2_r1_rnm1d2)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d2_r2_rn1d2)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d2_rn1d2_rm1)).
thf(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) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d2_rn3d2_r0)).
thf(rqRealAdd__k2_xcmplx_0__rnm3d2_rn3d4_rnm3d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d2_rn3d4_rnm3d4)).
thf(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) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d2_rnm3d2_rm3)).
thf(rqRealAdd__k2_xcmplx_0__rnm3d4_r1_rn1d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d4_r1_rn1d4)).
thf(rqRealAdd__k2_xcmplx_0__rnm3d4_rn1d2_rnm1d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d4_rn1d2_rnm1d4)).
thf(rqRealAdd__k2_xcmplx_0__rnm3d4_rn3d2_rn3d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d4_rn3d2_rn3d4)).
thf(rqRealAdd__k2_xcmplx_0__rnm3d4_rn3d4_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d4_rn3d4_r0)).
thf(rqRealAdd__k2_xcmplx_0__rnm3d4_rnm1d4_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d4_rnm1d4_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rnm3d4_rnm3d4_rnm3d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d4_rnm3d4_rnm3d2)).
thf(rqRealDiff__k6_xcmplx_0__r0_r0_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @ np__0) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_r0_r0)).
thf(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @ np__1) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_r1_rm1)).
thf(rqRealDiff__k6_xcmplx_0__r0_r2_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_r2_rm2)).
thf(rqRealDiff__k6_xcmplx_0__r0_r3_rm3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @ np__3) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_r3_rm3)).
thf(rqRealDiff__k6_xcmplx_0__r0_r4_rm4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @ np__4) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_r4_rm4)).
thf(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  (k4_xcmplx_0 @ np__1) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rm1_r1)).
thf(rqRealDiff__k6_xcmplx_0__r0_rm2_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  (k4_xcmplx_0 @ np__2) ) )  @ np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rm2_r2)).
thf(rqRealDiff__k6_xcmplx_0__r0_rm3_r3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  (k4_xcmplx_0 @ np__3) ) )  @ np__3) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rm3_r3)).
thf(rqRealDiff__k6_xcmplx_0__r0_rm4_r4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  (k4_xcmplx_0 @ np__4) ) )  @ np__4) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rm4_r4)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rn1d3_rnm1d3)).
thf(rqRealDiff__k6_xcmplx_0__r0_rn1d4_rnm1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rn1d4_rnm1d4)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rn2d3_rnm2d3)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rn3d2_rnm3d2)).
thf(rqRealDiff__k6_xcmplx_0__r0_rn3d4_rnm3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rn3d4_rnm3d4)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__r0_rnm1d4_rn1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rnm1d4_rn1d4)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rnm3d2_rn3d2)).
thf(rqRealDiff__k6_xcmplx_0__r0_rnm3d4_rn3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rnm3d4_rn3d4)).
thf(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @ np__0) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_r0_r1)).
thf(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @ np__1) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_r1_r0)).
thf(rqRealDiff__k6_xcmplx_0__r1_r2_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_r2_rm1)).
thf(rqRealDiff__k6_xcmplx_0__r1_r3_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @ np__3) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_r3_rm2)).
thf(rqRealDiff__k6_xcmplx_0__r1_r4_rm3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @ np__4) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_r4_rm3)).
thf(rqRealDiff__k6_xcmplx_0__r1_rm1_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__1) ) )  @ np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rm1_r2)).
thf(rqRealDiff__k6_xcmplx_0__r1_rm2_r3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__2) ) )  @ np__3) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rm2_r3)).
thf(rqRealDiff__k6_xcmplx_0__r1_rm3_r4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__3) ) )  @ np__4) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rm3_r4)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rn1d3_rn2d3)).
thf(rqRealDiff__k6_xcmplx_0__r1_rn1d4_rn3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rn1d4_rn3d4)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rn2d3_rn1d3)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rn3d2_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__r1_rn3d4_rn1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rn3d4_rn1d4)).
thf(rqRealDiff__k6_xcmplx_0__r1_rn4d3_rnm1d3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rn4d3_rnm1d3)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rnm1d2_rn3d2)).
thf(rqRealDiff__k6_xcmplx_0__r1_rnm1d3_rn4d3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rnm1d3_rn4d3)).
thf(rqRealDiff__k6_xcmplx_0__r2_r0_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @ np__0) )  @ np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_r0_r2)).
thf(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @ np__1) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_r1_r1)).
thf(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @ np__2) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_r2_r0)).
thf(rqRealDiff__k6_xcmplx_0__r2_r3_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @ np__3) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_r3_rm1)).
thf(rqRealDiff__k6_xcmplx_0__r2_r4_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @ np__4) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_r4_rm2)).
thf(rqRealDiff__k6_xcmplx_0__r2_rm1_r3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @  (k4_xcmplx_0 @ np__1) ) )  @ np__3) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_rm1_r3)).
thf(rqRealDiff__k6_xcmplx_0__r2_rm2_r4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @  (k4_xcmplx_0 @ np__2) ) )  @ np__4) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_rm2_r4)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_rn1d2_rn3d2)).
thf(rqRealDiff__k6_xcmplx_0__r2_rn2d3_rn4d3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_rn2d3_rn4d3)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_rn3d2_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__r2_rn4d3_rn2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_rn4d3_rn2d3)).
thf(rqRealDiff__k6_xcmplx_0__r3_r0_r3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__3)  @ np__0) )  @ np__3) , file(arithm, rqRealDiff__k6_xcmplx_0__r3_r0_r3)).
thf(rqRealDiff__k6_xcmplx_0__r3_r1_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__3)  @ np__1) )  @ np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__r3_r1_r2)).
thf(rqRealDiff__k6_xcmplx_0__r3_r2_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__3)  @ np__2) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__r3_r2_r1)).
thf(rqRealDiff__k6_xcmplx_0__r3_r3_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__3)  @ np__3) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__r3_r3_r0)).
thf(rqRealDiff__k6_xcmplx_0__r3_r4_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__3)  @ np__4) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r3_r4_rm1)).
thf(rqRealDiff__k6_xcmplx_0__r3_rm1_r4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__3)  @  (k4_xcmplx_0 @ np__1) ) )  @ np__4) , file(arithm, rqRealDiff__k6_xcmplx_0__r3_rm1_r4)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r3_rn3d2_rn3d2)).
thf(rqRealDiff__k6_xcmplx_0__r4_r0_r4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__4)  @ np__0) )  @ np__4) , file(arithm, rqRealDiff__k6_xcmplx_0__r4_r0_r4)).
thf(rqRealDiff__k6_xcmplx_0__r4_r1_r3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__4)  @ np__1) )  @ np__3) , file(arithm, rqRealDiff__k6_xcmplx_0__r4_r1_r3)).
thf(rqRealDiff__k6_xcmplx_0__r4_r2_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__4)  @ np__2) )  @ np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__r4_r2_r2)).
thf(rqRealDiff__k6_xcmplx_0__r4_r3_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__4)  @ np__3) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__r4_r3_r1)).
thf(rqRealDiff__k6_xcmplx_0__r4_r4_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__4)  @ np__4) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__r4_r4_r0)).
thf(rqRealDiff__k6_xcmplx_0__rm1_r0_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__0) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_r0_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rm1_r1_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__1) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_r1_rm2)).
thf(rqRealDiff__k6_xcmplx_0__rm1_r2_rm3, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_r2_rm3)).
thf(rqRealDiff__k6_xcmplx_0__rm1_r3_rm4, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_r3_rm4)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rm1_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__1) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rm1_r0)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rm2_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__2) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rm2_r1)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rm3_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__3) ) )  @ np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rm3_r2)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rm4_r3, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__4) ) )  @ np__3) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rm4_r3)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rn1d2_rnm3d2)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rn1d3_rnm4d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rn1d3_rnm4d3)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rnm1d3_rnm2d3)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rnm1d4_rnm3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rnm1d4_rnm3d4)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rnm2d3_rnm1d3)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rnm3d2_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rnm3d4_rnm1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rnm3d4_rnm1d4)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rnm4d3_rn1d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rnm4d3_rn1d3)).
thf(rqRealDiff__k6_xcmplx_0__rm2_r0_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__0) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_r0_rm2)).
thf(rqRealDiff__k6_xcmplx_0__rm2_r1_rm3, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__1) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_r1_rm3)).
thf(rqRealDiff__k6_xcmplx_0__rm2_r2_rm4, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__2) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_r2_rm4)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rm2_rm2_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_rm2_r0)).
thf(rqRealDiff__k6_xcmplx_0__rm2_rm3_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  (k4_xcmplx_0 @ np__3) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_rm3_r1)).
thf(rqRealDiff__k6_xcmplx_0__rm2_rm4_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  (k4_xcmplx_0 @ np__4) ) )  @ np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_rm4_r2)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_rnm1d2_rnm3d2)).
thf(rqRealDiff__k6_xcmplx_0__rm2_rnm2d3_rnm4d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_rnm2d3_rnm4d3)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_rnm3d2_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__rm3_r0_rm3, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__0) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm3_r0_rm3)).
thf(rqRealDiff__k6_xcmplx_0__rm3_r1_rm4, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__1) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm3_r1_rm4)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm3_rm1_rm2)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm3_rm2_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rm3_rm3_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @  (k4_xcmplx_0 @ np__3) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rm3_rm3_r0)).
thf(rqRealDiff__k6_xcmplx_0__rm3_rm4_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @  (k4_xcmplx_0 @ np__4) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rm3_rm4_r1)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm3_rnm3d2_rnm3d2)).
thf(rqRealDiff__k6_xcmplx_0__rm4_r0_rm4, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__0) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm4_r0_rm4)).
thf(rqRealDiff__k6_xcmplx_0__rm4_rm1_rm3, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @  (k4_xcmplx_0 @ np__1) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm4_rm1_rm3)).
thf(rqRealDiff__k6_xcmplx_0__rm4_rm2_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @  (k4_xcmplx_0 @ np__2) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm4_rm2_rm2)).
thf(rqRealDiff__k6_xcmplx_0__rm4_rm3_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @  (k4_xcmplx_0 @ np__3) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm4_rm3_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rm4_rm4_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @  (k4_xcmplx_0 @ np__4) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rm4_rm4_r0)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_r2_rnm3d2)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rm1_rn3d2)).
thf(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) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d4_rn1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rn1d4_rn1d4)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rn3d2_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_rn3d4_rnm1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rn3d4_rnm1d4)).
thf(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) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d4_rn3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d4_rn3d4)).
thf(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) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rnm3d2_r2)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d3_r0_rn1d3)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d3_r1_rnm2d3)).
thf(rqRealDiff__k6_xcmplx_0__rn1d3_rm1_rn4d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d3_rm1_rn4d3)).
thf(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) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d3_rn1d3_r0)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d3_rn2d3_rnm1d3)).
thf(rqRealDiff__k6_xcmplx_0__rn1d3_rn4d3_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d3_rn4d3_rm1)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d3_rnm1d3_rn2d3)).
thf(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) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d3_rnm2d3_r1)).
thf(rqRealDiff__k6_xcmplx_0__rn1d4_r0_rn1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__0) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d4_r0_rn1d4)).
thf(rqRealDiff__k6_xcmplx_0__rn1d4_r1_rnm3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d4_r1_rnm3d4)).
thf(rqRealDiff__k6_xcmplx_0__rn1d4_rn1d2_rnm1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d4_rn1d2_rnm1d4)).
thf(rqRealDiff__k6_xcmplx_0__rn1d4_rn1d4_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d4_rn1d4_r0)).
thf(rqRealDiff__k6_xcmplx_0__rn1d4_rn3d4_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d4_rn3d4_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__rn1d4_rnm1d2_rn3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d4_rnm1d2_rn3d4)).
thf(rqRealDiff__k6_xcmplx_0__rn1d4_rnm1d4_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d4_rnm1d4_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__rn1d4_rnm3d4_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d4_rnm3d4_r1)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn2d3_r0_rn2d3)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn2d3_r1_rnm1d3)).
thf(rqRealDiff__k6_xcmplx_0__rn2d3_r2_rnm4d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn2d3_r2_rnm4d3)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn2d3_rn1d3_rn1d3)).
thf(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) , file(arithm, rqRealDiff__k6_xcmplx_0__rn2d3_rn2d3_r0)).
thf(rqRealDiff__k6_xcmplx_0__rn2d3_rn4d3_rnm2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn2d3_rn4d3_rnm2d3)).
thf(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) , file(arithm, rqRealDiff__k6_xcmplx_0__rn2d3_rnm1d3_r1)).
thf(rqRealDiff__k6_xcmplx_0__rn2d3_rnm2d3_rn4d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn2d3_rnm2d3_rn4d3)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d2_r0_rn3d2)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d2_r1_rn1d2)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d2_r2_rnm1d2)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d2_r3_rnm3d2)).
thf(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) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d2_rn1d2_r1)).
thf(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) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d2_rn3d2_r0)).
thf(rqRealDiff__k6_xcmplx_0__rn3d2_rn3d4_rn3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d2_rn3d4_rn3d4)).
thf(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) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d2_rnm1d2_r2)).
thf(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) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d2_rnm3d2_r3)).
thf(rqRealDiff__k6_xcmplx_0__rn3d4_r0_rn3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @ np__0) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d4_r0_rn3d4)).
thf(rqRealDiff__k6_xcmplx_0__rn3d4_r1_rnm1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d4_r1_rnm1d4)).
thf(rqRealDiff__k6_xcmplx_0__rn3d4_rn1d2_rn1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d4_rn1d2_rn1d4)).
thf(rqRealDiff__k6_xcmplx_0__rn3d4_rn1d4_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d4_rn1d4_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__rn3d4_rn3d2_rnm3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d4_rn3d2_rnm3d4)).
thf(rqRealDiff__k6_xcmplx_0__rn3d4_rn3d4_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d4_rn3d4_r0)).
thf(rqRealDiff__k6_xcmplx_0__rn3d4_rnm1d4_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d4_rnm1d4_r1)).
thf(rqRealDiff__k6_xcmplx_0__rn3d4_rnm3d4_rn3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d4_rnm3d4_rn3d2)).
thf(rqRealDiff__k6_xcmplx_0__rn4d3_r0_rn4d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @ np__0) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn4d3_r0_rn4d3)).
thf(rqRealDiff__k6_xcmplx_0__rn4d3_r1_rn1d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn4d3_r1_rn1d3)).
thf(rqRealDiff__k6_xcmplx_0__rn4d3_r2_rnm2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn4d3_r2_rnm2d3)).
thf(rqRealDiff__k6_xcmplx_0__rn4d3_rn1d3_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rn4d3_rn1d3_r1)).
thf(rqRealDiff__k6_xcmplx_0__rn4d3_rn2d3_rn2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn4d3_rn2d3_rn2d3)).
thf(rqRealDiff__k6_xcmplx_0__rn4d3_rn4d3_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rn4d3_rn4d3_r0)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_r1_rnm3d2)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rm2_rn3d2)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d4_rnm3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d4_rnm3d4)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rn3d2_rm2)).
thf(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) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d4_rnm1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d4_rnm1d4)).
thf(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) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d2_r1)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d4_rn1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d4_rn1d4)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d3_r0_rnm1d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d3_r1_rnm4d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d3_r1_rnm4d3)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d3_rm1_rn2d3)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d3_rn1d3_rnm2d3)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d3_rn2d3_rm1)).
thf(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) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d3_rnm1d3_r0)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d3_rnm2d3_rn1d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d4_r0_rnm1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @ np__0) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d4_r0_rnm1d4)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d4_rm1_rn3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d4_rm1_rn3d4)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d4_rn1d2_rnm3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d4_rn1d2_rnm3d4)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d4_rn1d4_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d4_rn1d4_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d4_rn3d4_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d4_rn3d4_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm1d2_rn1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d4_rnm1d2_rn1d4)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm1d4_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d4_rnm1d4_r0)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm3d4_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d4_rnm3d4_rn1d2)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm2d3_rm1_rn1d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm2d3_rm2_rn4d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm2d3_rm2_rn4d3)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm2d3_rn1d3_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rnm2d3_rn2d3_rnm4d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm2d3_rn2d3_rnm4d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm2d3_rn4d3_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm2d3_rn4d3_rm2)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm2d3_rnm1d3_rnm1d3)).
thf(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) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm2d3_rnm2d3_r0)).
thf(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm4d3_rn2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm2d3_rnm4d3_rn2d3)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d2_r0_rnm3d2)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d2_rm1_rnm1d2)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d2_rm2_rn1d2)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d2_rm3_rn3d2)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d2_rn1d2_rm2)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d2_rn3d2_rm3)).
thf(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) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d2_rnm1d2_rm1)).
thf(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) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d2_rnm3d2_r0)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm3d4_rnm3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d2_rnm3d4_rnm3d4)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d4_rm1_rn1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d4_rm1_rn1d4)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d4_rn1d4_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d4_rn1d4_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d4_rn3d4_rnm3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d4_rn3d4_rnm3d2)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm1d2_rnm1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d4_rnm1d2_rnm1d4)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm1d4_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d4_rnm1d4_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm3d2_rn3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d4_rnm3d2_rn3d4)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm3d4_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d4_rnm3d4_r0)).
thf(rqRealDiff__k6_xcmplx_0__rnm4d3_rm1_rnm1d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm4d3_rm1_rnm1d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm4d3_rm2_rn2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm4d3_rm2_rn2d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm4d3_rnm1d3_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm4d3_rnm1d3_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rnm4d3_rnm2d3_rnm2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm4d3_rnm2d3_rnm2d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm4d3_rnm4d3_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm4d3_rnm4d3_r0)).
thf(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @ np__1) )  @ np__1) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_r1_r1)).
thf(rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2)).
thf(rqRealDiv__k7_xcmplx_0__r1_r3_rn1d3, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_r3_rn1d3)).
thf(rqRealDiv__k7_xcmplx_0__r1_r4_rn1d4, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_r4_rn1d4)).
thf(rqRealDiv__k7_xcmplx_0__r1_rm1_rm1, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__1) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rm1_rm1)).
thf(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) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2)).
thf(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) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rm3_rnm1d3)).
thf(rqRealDiv__k7_xcmplx_0__r1_rm4_rnm1d4, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rm4_rnm1d4)).
thf(rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @ np__2) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2)).
thf(rqRealDiv__k7_xcmplx_0__r1_rn1d3_r3, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @ np__3) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rn1d3_r3)).
thf(rqRealDiv__k7_xcmplx_0__r1_rn1d4_r4, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @ np__4) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rn1d4_r4)).
thf(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) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rn2d3_rn3d2)).
thf(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) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rn3d2_rn2d3)).
thf(rqRealDiv__k7_xcmplx_0__r1_rn3d4_rn4d3, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rn3d4_rn4d3)).
thf(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) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2)).
thf(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) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rnm1d3_rm3)).
thf(rqRealDiv__k7_xcmplx_0__r1_rnm1d4_rm4, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rnm1d4_rm4)).
thf(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) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rnm3d2_rnm2d3)).
thf(rqRealDiv__k7_xcmplx_0__r1_rnm3d4_rnm4d3, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rnm3d4_rnm4d3)).
thf(rqRealDiv__k7_xcmplx_0__r1_rnm4d3_rnm3d4, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rnm4d3_rnm3d4)).
thf(rqRealDiv__k7_xcmplx_0__r2_r1_r2, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__2)  @ np__1) )  @ np__2) , file(arithm, rqRealDiv__k7_xcmplx_0__r2_r1_r2)).
thf(rqRealDiv__k7_xcmplx_0__r2_r2_r1, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__2)  @ np__2) )  @ np__1) , file(arithm, rqRealDiv__k7_xcmplx_0__r2_r2_r1)).
thf(rqRealDiv__k7_xcmplx_0__r2_r3_rn2d3, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r2_r3_rn2d3)).
thf(rqRealDiv__k7_xcmplx_0__r2_rn1d2_r4, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @ np__4) , file(arithm, rqRealDiv__k7_xcmplx_0__r2_rn1d2_r4)).
thf(rqRealDiv__k7_xcmplx_0__r3_r2_rn3d2, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r3_r2_rn3d2)).
thf(rqRealDiv__k7_xcmplx_0__r3_r3_r1, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__3)  @ np__3) )  @ np__1) , file(arithm, rqRealDiv__k7_xcmplx_0__r3_r3_r1)).
thf(rqRealDiv__k7_xcmplx_0__r3_r4_rn3d4, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r3_r4_rn3d4)).
thf(rqRealDiv__k7_xcmplx_0__r4_r2_r2, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__4)  @ np__2) )  @ np__2) , file(arithm, rqRealDiv__k7_xcmplx_0__r4_r2_r2)).
thf(rqRealDiv__k7_xcmplx_0__r4_r3_rn4d3, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r4_r3_rn4d3)).
thf(rqRealDiv__k7_xcmplx_0__r4_r4_r1, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__4)  @ np__4) )  @ np__1) , file(arithm, rqRealDiv__k7_xcmplx_0__r4_r4_r1)).
thf(rqRealDiv__k7_xcmplx_0__rm1_r1_rm1, axiom,  ( (= @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__1) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiv__k7_xcmplx_0__rm1_r1_rm1)).
thf(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) ) , file(arithm, rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2)).
thf(rqRealDiv__k7_xcmplx_0__rm2_r2_rm1, axiom,  ( (= @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiv__k7_xcmplx_0__rm2_r2_rm1)).
thf(rqRealMult__k3_xcmplx_0__r0_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @ np__0) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @ np__1) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_r1_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_r2_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @ np__2) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_r2_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_r3_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @ np__3) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_r3_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_r4_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @ np__4) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_r4_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_rm2_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @  (k4_xcmplx_0 @ np__2) ) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_rm2_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_rm3_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @  (k4_xcmplx_0 @ np__3) ) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_rm3_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_rn1d2_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_rn1d2_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_rn1d3_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_rn1d3_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_rn1d4_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_rn1d4_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_rn2d3_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_rn2d3_r0)).
thf(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @ np__0) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r1_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @ np__1) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__r1_r1_r1)).
thf(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @ np__2) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__r1_r2_r2)).
thf(rqRealMult__k3_xcmplx_0__r1_r3_r3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @ np__3) )  @ np__3) , file(arithm, rqRealMult__k3_xcmplx_0__r1_r3_r3)).
thf(rqRealMult__k3_xcmplx_0__r1_r4_r4, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @ np__4) )  @ np__4) , file(arithm, rqRealMult__k3_xcmplx_0__r1_r4_r4)).
thf(rqRealMult__k3_xcmplx_0__r1_rm2_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__2) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rm2_rm2)).
thf(rqRealMult__k3_xcmplx_0__r1_rm3_rm3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__3) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rm3_rm3)).
thf(rqRealMult__k3_xcmplx_0__r1_rm4_rm4, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__4) ) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rm4_rm4)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rn1d2_rn1d2)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rn1d3_rn1d3)).
thf(rqRealMult__k3_xcmplx_0__r1_rn1d4_rn1d4, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rn1d4_rn1d4)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rn2d3_rn2d3)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rn3d2_rn3d2)).
thf(rqRealMult__k3_xcmplx_0__r1_rn3d4_rn3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rn3d4_rn3d4)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rnm1d2_rnm1d2)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rnm1d3_rnm1d3)).
thf(rqRealMult__k3_xcmplx_0__r1_rnm1d4_rnm1d4, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rnm1d4_rnm1d4)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rnm2d3_rnm2d3)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rnm3d2_rnm3d2)).
thf(rqRealMult__k3_xcmplx_0__r2_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @ np__0) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r2_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @ np__1) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__r2_r1_r2)).
thf(rqRealMult__k3_xcmplx_0__r2_r2_r4, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @ np__2) )  @ np__4) , file(arithm, rqRealMult__k3_xcmplx_0__r2_r2_r4)).
thf(rqRealMult__k3_xcmplx_0__r2_rm2_rm4, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @  (k4_xcmplx_0 @ np__2) ) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rm2_rm4)).
thf(rqRealMult__k3_xcmplx_0__r2_rn1d2_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rn1d2_r1)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rn1d3_rn2d3)).
thf(rqRealMult__k3_xcmplx_0__r2_rn1d4_rn1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rn1d4_rn1d2)).
thf(rqRealMult__k3_xcmplx_0__r2_rn2d3_rn4d3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rn2d3_rn4d3)).
thf(rqRealMult__k3_xcmplx_0__r2_rn3d2_r3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @ np__3) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rn3d2_r3)).
thf(rqRealMult__k3_xcmplx_0__r2_rn3d4_rn3d2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rn3d4_rn3d2)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rnm1d2_rm1)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rnm1d3_rnm2d3)).
thf(rqRealMult__k3_xcmplx_0__r2_rnm1d4_rnm1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rnm1d4_rnm1d2)).
thf(rqRealMult__k3_xcmplx_0__r2_rnm2d3_rnm4d3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rnm2d3_rnm4d3)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rnm3d2_rm3)).
thf(rqRealMult__k3_xcmplx_0__r3_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__3)  @ np__0) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r3_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__r3_r1_r3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__3)  @ np__1) )  @ np__3) , file(arithm, rqRealMult__k3_xcmplx_0__r3_r1_r3)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__r3_rn1d2_rn3d2)).
thf(rqRealMult__k3_xcmplx_0__r3_rn1d3_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__3)  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__r3_rn1d3_r1)).
thf(rqRealMult__k3_xcmplx_0__r3_rn1d4_rn3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__3)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__r3_rn1d4_rn3d4)).
thf(rqRealMult__k3_xcmplx_0__r3_rn2d3_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__3)  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__r3_rn2d3_r2)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__r3_rnm1d2_rnm3d2)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__r3_rnm1d3_rm1)).
thf(rqRealMult__k3_xcmplx_0__r3_rnm1d4_rnm3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__3)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__r3_rnm1d4_rnm3d4)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__r3_rnm2d3_rm2)).
thf(rqRealMult__k3_xcmplx_0__r3_rnm4d3_rm4, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__3)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__r3_rnm4d3_rm4)).
thf(rqRealMult__k3_xcmplx_0__r4_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__4)  @ np__0) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r4_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__r4_r1_r4, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__4)  @ np__1) )  @ np__4) , file(arithm, rqRealMult__k3_xcmplx_0__r4_r1_r4)).
thf(rqRealMult__k3_xcmplx_0__r4_rn1d2_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__4)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__r4_rn1d2_r2)).
thf(rqRealMult__k3_xcmplx_0__r4_rn1d3_rn4d3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__4)  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__r4_rn1d3_rn4d3)).
thf(rqRealMult__k3_xcmplx_0__r4_rn1d4_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__4)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__r4_rn1d4_r1)).
thf(rqRealMult__k3_xcmplx_0__r4_rn3d4_r3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__4)  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @ np__3) , file(arithm, rqRealMult__k3_xcmplx_0__r4_rn3d4_r3)).
thf(rqRealMult__k3_xcmplx_0__r4_rnm1d2_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__4)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__r4_rnm1d2_rm2)).
thf(rqRealMult__k3_xcmplx_0__r4_rnm1d3_rnm4d3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__4)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__r4_rnm1d3_rnm4d3)).
thf(rqRealMult__k3_xcmplx_0__r4_rnm1d4_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__4)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__r4_rnm1d4_rm1)).
thf(rqRealMult__k3_xcmplx_0__r4_rnm3d4_rm3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__4)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__r4_rnm3d4_rm3)).
thf(rqRealMult__k3_xcmplx_0__rm2_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__0) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__rm2_r1_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__1) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_r1_rm2)).
thf(rqRealMult__k3_xcmplx_0__rm2_r2_rm4, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__2) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_r2_rm4)).
thf(rqRealMult__k3_xcmplx_0__rm2_rm2_r4, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) )  @ np__4) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rm2_r4)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rn1d2_rm1)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rn1d3_rnm2d3)).
thf(rqRealMult__k3_xcmplx_0__rm2_rn1d4_rnm1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rn1d4_rnm1d2)).
thf(rqRealMult__k3_xcmplx_0__rm2_rn2d3_rnm4d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rn2d3_rnm4d3)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rn3d2_rm3)).
thf(rqRealMult__k3_xcmplx_0__rm2_rn3d4_rnm3d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rn3d4_rnm3d2)).
thf(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) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rnm1d2_r1)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rnm1d3_rn2d3)).
thf(rqRealMult__k3_xcmplx_0__rm2_rnm1d4_rn1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rnm1d4_rn1d2)).
thf(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) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rnm3d2_r3)).
thf(rqRealMult__k3_xcmplx_0__rm3_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__0) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__rm3_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__rm3_r1_rm3, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__1) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm3_r1_rm3)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm3_rn1d2_rnm3d2)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm3_rn1d3_rm1)).
thf(rqRealMult__k3_xcmplx_0__rm3_rn1d4_rnm3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm3_rn1d4_rnm3d4)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm3_rn2d3_rm2)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm3_rnm1d2_rn3d2)).
thf(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) , file(arithm, rqRealMult__k3_xcmplx_0__rm3_rnm1d3_r1)).
thf(rqRealMult__k3_xcmplx_0__rm3_rnm1d4_rn3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm3_rnm1d4_rn3d4)).
thf(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) , file(arithm, rqRealMult__k3_xcmplx_0__rm3_rnm2d3_r2)).
thf(rqRealMult__k3_xcmplx_0__rm3_rnm4d3_r4, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @ np__4) , file(arithm, rqRealMult__k3_xcmplx_0__rm3_rnm4d3_r4)).
thf(rqRealMult__k3_xcmplx_0__rm4_r1_rm4, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__1) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm4_r1_rm4)).
thf(rqRealMult__k3_xcmplx_0__rm4_rn1d2_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm4_rn1d2_rm2)).
thf(rqRealMult__k3_xcmplx_0__rm4_rn1d4_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm4_rn1d4_rm1)).
thf(rqRealMult__k3_xcmplx_0__rm4_rn3d4_rm3, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm4_rn3d4_rm3)).
thf(rqRealMult__k3_xcmplx_0__rm4_rnm1d2_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__rm4_rnm1d2_r2)).
thf(rqRealMult__k3_xcmplx_0__rm4_rnm1d4_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rm4_rnm1d4_r1)).
thf(rqRealMult__k3_xcmplx_0__rm4_rnm3d4_r3, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @ np__3) , file(arithm, rqRealMult__k3_xcmplx_0__rm4_rnm3d4_r3)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__0) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_r0_r0)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_r1_rn1d2)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_r2_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__2) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_r2_r1)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_r3_rn3d2)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_r4_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__4) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_r4_r2)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_rm2_rm1)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_rm3_rnm3d2)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_rm4_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  (k4_xcmplx_0 @ np__4) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_rm4_rm2)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_rn1d2_rn1d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_rn1d2_rn1d4)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_rn2d3_rn1d3)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_rn3d2_rn3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_rn3d2_rn3d4)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_rnm1d2_rnm1d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_rnm1d2_rnm1d4)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_rnm2d3_rnm1d3)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_rnm4d3_rnm2d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_rnm4d3_rnm2d3)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d3_r1_rn1d3)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d3_r2_rn2d3)).
thf(rqRealMult__k3_xcmplx_0__rn1d3_r3_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @ np__3) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d3_r3_r1)).
thf(rqRealMult__k3_xcmplx_0__rn1d3_r4_rn4d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d3_r4_rn4d3)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d3_rm2_rnm2d3)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d3_rm3_rm1)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d3_rn3d2_rn1d2)).
thf(rqRealMult__k3_xcmplx_0__rn1d3_rn3d4_rn1d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d3_rn3d4_rn1d4)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d3_rnm3d2_rnm1d2)).
thf(rqRealMult__k3_xcmplx_0__rn1d4_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__0) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d4_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__rn1d4_r1_rn1d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d4_r1_rn1d4)).
thf(rqRealMult__k3_xcmplx_0__rn1d4_r2_rn1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d4_r2_rn1d2)).
thf(rqRealMult__k3_xcmplx_0__rn1d4_r3_rn3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d4_r3_rn3d4)).
thf(rqRealMult__k3_xcmplx_0__rn1d4_r4_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__4) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d4_r4_r1)).
thf(rqRealMult__k3_xcmplx_0__rn1d4_rm2_rnm1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d4_rm2_rnm1d2)).
thf(rqRealMult__k3_xcmplx_0__rn1d4_rm3_rnm3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  (k4_xcmplx_0 @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d4_rm3_rnm3d4)).
thf(rqRealMult__k3_xcmplx_0__rn1d4_rm4_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  (k4_xcmplx_0 @ np__4) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d4_rm4_rm1)).
thf(rqRealMult__k3_xcmplx_0__rn1d4_rnm4d3_rnm1d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d4_rnm4d3_rnm1d3)).
thf(rqRealMult__k3_xcmplx_0__rn2d3_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @ np__0) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__rn2d3_r0_r0)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn2d3_r1_rn2d3)).
thf(rqRealMult__k3_xcmplx_0__rn2d3_r2_rn4d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn2d3_r2_rn4d3)).
thf(rqRealMult__k3_xcmplx_0__rn2d3_r3_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @ np__3) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__rn2d3_r3_r2)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn2d3_rm3_rm2)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn2d3_rn1d2_rn1d3)).
thf(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) , file(arithm, rqRealMult__k3_xcmplx_0__rn2d3_rn3d2_r1)).
thf(rqRealMult__k3_xcmplx_0__rn2d3_rn3d4_rn1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn2d3_rn3d4_rn1d2)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn2d3_rnm1d2_rnm1d3)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn2d3_rnm3d2_rm1)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d2_r1_rn3d2)).
thf(rqRealMult__k3_xcmplx_0__rn3d2_r2_r3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @ np__2) )  @ np__3) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d2_r2_r3)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d2_rm2_rm3)).
thf(rqRealMult__k3_xcmplx_0__rn3d2_rn1d2_rn3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d2_rn1d2_rn3d4)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d2_rn1d3_rn1d2)).
thf(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) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d2_rn2d3_r1)).
thf(rqRealMult__k3_xcmplx_0__rn3d2_rn4d3_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d2_rn4d3_r2)).
thf(rqRealMult__k3_xcmplx_0__rn3d2_rnm1d2_rnm3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d2_rnm1d2_rnm3d4)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d2_rnm1d3_rnm1d2)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d2_rnm2d3_rm1)).
thf(rqRealMult__k3_xcmplx_0__rn3d2_rnm4d3_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d2_rnm4d3_rm2)).
thf(rqRealMult__k3_xcmplx_0__rn3d4_r1_rn3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d4_r1_rn3d4)).
thf(rqRealMult__k3_xcmplx_0__rn3d4_r2_rn3d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d4_r2_rn3d2)).
thf(rqRealMult__k3_xcmplx_0__rn3d4_r4_r3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @ np__4) )  @ np__3) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d4_r4_r3)).
thf(rqRealMult__k3_xcmplx_0__rn3d4_rm2_rnm3d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d4_rm2_rnm3d2)).
thf(rqRealMult__k3_xcmplx_0__rn3d4_rm4_rm3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  (k4_xcmplx_0 @ np__4) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d4_rm4_rm3)).
thf(rqRealMult__k3_xcmplx_0__rn3d4_rn4d3_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d4_rn4d3_r1)).
thf(rqRealMult__k3_xcmplx_0__rn3d4_rnm4d3_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d4_rnm4d3_rm1)).
thf(rqRealMult__k3_xcmplx_0__rn4d3_r1_rn4d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn4d3_r1_rn4d3)).
thf(rqRealMult__k3_xcmplx_0__rn4d3_r3_r4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @ np__3) )  @ np__4) , file(arithm, rqRealMult__k3_xcmplx_0__rn4d3_r3_r4)).
thf(rqRealMult__k3_xcmplx_0__rn4d3_rn1d2_rn2d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn4d3_rn1d2_rn2d3)).
thf(rqRealMult__k3_xcmplx_0__rn4d3_rn3d2_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__rn4d3_rn3d2_r2)).
thf(rqRealMult__k3_xcmplx_0__rn4d3_rn3d4_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rn4d3_rn3d4_r1)).
thf(rqRealMult__k3_xcmplx_0__rn4d3_rnm1d2_rnm2d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn4d3_rnm1d2_rnm2d3)).
thf(rqRealMult__k3_xcmplx_0__rn4d3_rnm1d4_rnm1d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn4d3_rnm1d4_rnm1d3)).
thf(rqRealMult__k3_xcmplx_0__rn4d3_rnm3d2_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn4d3_rnm3d2_rm2)).
thf(rqRealMult__k3_xcmplx_0__rn4d3_rnm3d4_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn4d3_rnm3d4_rm1)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_r1_rnm1d2)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_r2_rm1)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_r3_rnm3d2)).
thf(rqRealMult__k3_xcmplx_0__rnm1d2_r4_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__4) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_r4_rm2)).
thf(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) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_rm2_r1)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_rm3_rn3d2)).
thf(rqRealMult__k3_xcmplx_0__rnm1d2_rm4_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  (k4_xcmplx_0 @ np__4) ) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_rm4_r2)).
thf(rqRealMult__k3_xcmplx_0__rnm1d2_rn1d2_rnm1d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_rn1d2_rnm1d4)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_rn2d3_rnm1d3)).
thf(rqRealMult__k3_xcmplx_0__rnm1d2_rnm1d2_rn1d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_rnm1d2_rn1d4)).
thf(rqRealMult__k3_xcmplx_0__rnm1d2_rnm3d2_rn3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_rnm3d2_rn3d4)).
thf(rqRealMult__k3_xcmplx_0__rnm1d2_rnm4d3_rn2d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_rnm4d3_rn2d3)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d3_r1_rnm1d3)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d3_r2_rnm2d3)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d3_r3_rm1)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d3_rm2_rn2d3)).
thf(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) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d3_rm3_r1)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d3_rn3d2_rnm1d2)).
thf(rqRealMult__k3_xcmplx_0__rnm1d3_rn3d4_rnm1d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d3_rn3d4_rnm1d4)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d3_rnm3d2_rn1d2)).
thf(rqRealMult__k3_xcmplx_0__rnm1d3_rnm3d4_rn1d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d3_rnm3d4_rn1d4)).
thf(rqRealMult__k3_xcmplx_0__rnm1d4_r1_rnm1d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d4_r1_rnm1d4)).
thf(rqRealMult__k3_xcmplx_0__rnm1d4_r2_rnm1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d4_r2_rnm1d2)).
thf(rqRealMult__k3_xcmplx_0__rnm1d4_r3_rnm3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d4_r3_rnm3d4)).
thf(rqRealMult__k3_xcmplx_0__rnm1d4_r4_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @ np__4) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d4_r4_rm1)).
thf(rqRealMult__k3_xcmplx_0__rnm1d4_rm2_rn1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d4_rm2_rn1d2)).
thf(rqRealMult__k3_xcmplx_0__rnm1d4_rm3_rn3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  (k4_xcmplx_0 @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d4_rm3_rn3d4)).
thf(rqRealMult__k3_xcmplx_0__rnm1d4_rm4_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  (k4_xcmplx_0 @ np__4) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d4_rm4_r1)).
thf(rqRealMult__k3_xcmplx_0__rnm1d4_rnm4d3_rn1d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d4_rnm4d3_rn1d3)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d3_r1_rnm2d3)).
thf(rqRealMult__k3_xcmplx_0__rnm2d3_r2_rnm4d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d3_r2_rnm4d3)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d3_r3_rm2)).
thf(rqRealMult__k3_xcmplx_0__rnm2d3_rm2_rn4d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d3_rm2_rn4d3)).
thf(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) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d3_rm3_r2)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d3_rn1d2_rnm1d3)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d3_rn3d2_rm1)).
thf(rqRealMult__k3_xcmplx_0__rnm2d3_rn3d4_rnm1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d3_rn3d4_rnm1d2)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d3_rnm1d2_rn1d3)).
thf(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) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d3_rnm3d2_r1)).
thf(rqRealMult__k3_xcmplx_0__rnm2d3_rnm3d4_rn1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d3_rnm3d4_rn1d2)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d2_r1_rnm3d2)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d2_r2_rm3)).
thf(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) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d2_rm2_r3)).
thf(rqRealMult__k3_xcmplx_0__rnm3d2_rn1d2_rnm3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d2_rn1d2_rnm3d4)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d2_rn1d3_rnm1d2)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d2_rn2d3_rm1)).
thf(rqRealMult__k3_xcmplx_0__rnm3d2_rn4d3_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d2_rn4d3_rm2)).
thf(rqRealMult__k3_xcmplx_0__rnm3d2_rnm1d2_rn3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d2_rnm1d2_rn3d4)).
thf(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) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d2_rnm1d3_rn1d2)).
thf(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) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d2_rnm2d3_r1)).
thf(rqRealMult__k3_xcmplx_0__rnm3d2_rnm4d3_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d2_rnm4d3_r2)).
thf(rqRealMult__k3_xcmplx_0__rnm3d4_r1_rnm3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d4_r1_rnm3d4)).
thf(rqRealMult__k3_xcmplx_0__rnm3d4_r2_rnm3d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d4_r2_rnm3d2)).
thf(rqRealMult__k3_xcmplx_0__rnm3d4_r4_rm3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @ np__4) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d4_r4_rm3)).
thf(rqRealMult__k3_xcmplx_0__rnm3d4_rm2_rn3d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d4_rm2_rn3d2)).
thf(rqRealMult__k3_xcmplx_0__rnm3d4_rm4_r3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  (k4_xcmplx_0 @ np__4) ) )  @ np__3) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d4_rm4_r3)).
thf(rqRealMult__k3_xcmplx_0__rnm3d4_rn1d3_rnm1d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d4_rn1d3_rnm1d4)).
thf(rqRealMult__k3_xcmplx_0__rnm3d4_rn2d3_rnm1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d4_rn2d3_rnm1d2)).
thf(rqRealMult__k3_xcmplx_0__rnm3d4_rn4d3_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d4_rn4d3_rm1)).
thf(rqRealMult__k3_xcmplx_0__rnm3d4_rnm1d3_rn1d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d4_rnm1d3_rn1d4)).
thf(rqRealMult__k3_xcmplx_0__rnm3d4_rnm4d3_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d4_rnm4d3_r1)).
thf(rqRealMult__k3_xcmplx_0__rnm4d3_r1_rnm4d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm4d3_r1_rnm4d3)).
thf(rqRealMult__k3_xcmplx_0__rnm4d3_r3_rm4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) )  @ np__3) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm4d3_r3_rm4)).
thf(rqRealMult__k3_xcmplx_0__rnm4d3_rn1d2_rnm2d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm4d3_rn1d2_rnm2d3)).
thf(rqRealMult__k3_xcmplx_0__rnm4d3_rn3d2_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm4d3_rn3d2_rm2)).
thf(rqRealMult__k3_xcmplx_0__rnm4d3_rnm1d2_rn2d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm4d3_rnm1d2_rn2d3)).
thf(rqRealMult__k3_xcmplx_0__rnm4d3_rnm1d4_rn1d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm4d3_rnm1d4_rn1d3)).
thf(rqRealMult__k3_xcmplx_0__rnm4d3_rnm3d2_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__rnm4d3_rnm3d2_r2)).
thf(rqRealMult__k3_xcmplx_0__rnm4d3_rnm3d4_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rnm4d3_rnm3d4_r1)).
thf(rqRealNeg__k4_xcmplx_0__r0_r0, axiom,  ( (= @  (k4_xcmplx_0 @ np__0) )  @ np__0) , file(arithm, rqRealNeg__k4_xcmplx_0__r0_r0)).
thf(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom,  ( (= @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealNeg__k4_xcmplx_0__r1_rm1)).
thf(rqRealNeg__k4_xcmplx_0__r2_rm2, axiom,  ( (= @  (k4_xcmplx_0 @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealNeg__k4_xcmplx_0__r2_rm2)).
thf(rqRealNeg__k4_xcmplx_0__r3_rm3, axiom,  ( (= @  (k4_xcmplx_0 @ np__3) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealNeg__k4_xcmplx_0__r3_rm3)).
thf(rqRealNeg__k4_xcmplx_0__r4_rm4, axiom,  ( (= @  (k4_xcmplx_0 @ np__4) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealNeg__k4_xcmplx_0__r4_rm4)).
thf(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom,  ( (= @  (k4_xcmplx_0 @  (k4_xcmplx_0 @ np__1) ) )  @ np__1) , file(arithm, rqRealNeg__k4_xcmplx_0__rm1_r1)).
thf(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom,  ( (= @  (k4_xcmplx_0 @  (k4_xcmplx_0 @ np__2) ) )  @ np__2) , file(arithm, rqRealNeg__k4_xcmplx_0__rm2_r2)).
thf(rqRealNeg__k4_xcmplx_0__rm3_r3, axiom,  ( (= @  (k4_xcmplx_0 @  (k4_xcmplx_0 @ np__3) ) )  @ np__3) , file(arithm, rqRealNeg__k4_xcmplx_0__rm3_r3)).
thf(rqRealNeg__k4_xcmplx_0__rm4_r4, axiom,  ( (= @  (k4_xcmplx_0 @  (k4_xcmplx_0 @ np__4) ) )  @ np__4) , file(arithm, rqRealNeg__k4_xcmplx_0__rm4_r4)).
thf(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) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2)).
thf(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) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rn1d3_rnm1d3)).
thf(rqRealNeg__k4_xcmplx_0__rn1d4_rnm1d4, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rn1d4_rnm1d4)).
thf(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) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rn2d3_rnm2d3)).
thf(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) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rn3d2_rnm3d2)).
thf(rqRealNeg__k4_xcmplx_0__rn3d4_rnm3d4, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rn3d4_rnm3d4)).
thf(rqRealNeg__k4_xcmplx_0__rn4d3_rnm4d3, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rn4d3_rnm4d3)).
thf(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) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2)).
thf(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) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rnm1d3_rn1d3)).
thf(rqRealNeg__k4_xcmplx_0__rnm1d4_rn1d4, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rnm1d4_rn1d4)).
thf(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) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rnm2d3_rn2d3)).
thf(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) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rnm3d2_rn3d2)).
thf(rqRealNeg__k4_xcmplx_0__rnm3d4_rn3d4, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rnm3d4_rn3d4)).
thf(rqRealNeg__k4_xcmplx_0__rnm4d3_rn4d3, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rnm4d3_rn4d3)).
thf(spc0_boole, axiom,  (v1_xboole_0 @ np__0) , file(boole, spc0_boole)).
thf(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) ) ) , file(numerals, spc0_numerals)).
thf(spc10_arithm, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  ( (= @  ( (k3_xcmplx_0 @  (k5_xcmplx_0 @ A) )  @  (k5_xcmplx_0 @ B) ) )  @  (k5_xcmplx_0 @  ( (k3_xcmplx_0 @ A)  @ B) ) ) ) ) , file(arithm, spc10_arithm)).
thf(spc11_arithm, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  ( (= @  ( (k7_xcmplx_0 @  (k5_xcmplx_0 @ A) )  @  (k5_xcmplx_0 @ B) ) )  @  ( (k7_xcmplx_0 @ B)  @ A) ) ) ) , file(arithm, spc11_arithm)).
thf(spc12_arithm, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  ( (= @  ( (k3_xcmplx_0 @ A)  @  (k5_xcmplx_0 @ B) ) )  @  ( (k7_xcmplx_0 @ A)  @ B) ) ) ) , file(arithm, spc12_arithm)).
thf(spc1_arithm, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  ( (= @  ( (k2_xcmplx_0 @ A)  @  (k4_xcmplx_0 @ B) ) )  @  ( (k6_xcmplx_0 @ A)  @ B) ) ) ) , file(arithm, spc1_arithm)).
thf(spc1_boole, axiom,  ~ ( (v1_xboole_0 @ np__1) ) , file(boole, spc1_boole)).
thf(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) ) ) , file(numerals, spc1_numerals)).
thf(spc2_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k3_xcmplx_0 @ A)  @  (k4_xcmplx_0 @ np__1) ) )  @  (k4_xcmplx_0 @ A) ) ) ) , file(arithm, spc2_arithm)).
thf(spc2_boole, axiom,  ~ ( (v1_xboole_0 @ np__2) ) , file(boole, spc2_boole)).
thf(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) ) ) , file(numerals, spc2_numerals)).
thf(spc3_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k7_xcmplx_0 @ np__1)  @ A) )  @  (k5_xcmplx_0 @ A) ) ) ) , file(arithm, spc3_arithm)).
thf(spc3_boole, axiom,  ~ ( (v1_xboole_0 @ np__3) ) , file(boole, spc3_boole)).
thf(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) ) ) , file(numerals, spc3_numerals)).
thf(spc4_arithm, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (v1_xcmplx_0 @ A)  &  ( (v1_xcmplx_0 @ B)  &  (v1_xcmplx_0 @ C) ) )  =>  ( (= @  ( (k3_xcmplx_0 @ A)  @  ( (k7_xcmplx_0 @ B)  @ C) ) )  @  ( (k7_xcmplx_0 @  ( (k3_xcmplx_0 @ A)  @ B) )  @ C) ) ) ) , file(arithm, spc4_arithm)).
thf(spc4_boole, axiom,  ~ ( (v1_xboole_0 @ np__4) ) , file(boole, spc4_boole)).
thf(spc4_numerals, axiom,  ( ( (v2_xxreal_0 @ np__4)  &  ( ( (m2_subset_1 @ np__4)  @ k1_numbers)  @ k5_numbers) )  &  ( ( (m1_subset_1 @ np__4)  @ k5_numbers)  &  ( (m1_subset_1 @ np__4)  @ k1_numbers) ) ) , file(numerals, spc4_numerals)).
thf(spc5_arithm, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (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) ) ) ) ) , file(arithm, spc5_arithm)).
thf(spc6_arithm, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (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) ) ) ) ) , file(arithm, spc6_arithm)).
thf(spc7_arithm, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (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) ) ) ) ) , file(arithm, spc6_arithm)).
thf(spc8_arithm, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ A) )  @  (k4_xcmplx_0 @ B) ) )  @  (k4_xcmplx_0 @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) ) , file(arithm, spc8_arithm)).
thf(spc9_arithm, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ A) )  @  (k4_xcmplx_0 @ B) ) )  @  ( (k6_xcmplx_0 @ B)  @ A) ) ) ) , file(arithm, spc9_arithm)).
thf(t13_nat_1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (! [B: $i] :  ( (v7_ordinal1 @ B)  =>  ( ~ ( ( (r1_xxreal_0 @  ( (k1_nat_1 @ B)  @ np__1) )  @ A) )  <=>  ( (r1_xxreal_0 @ A)  @ B) ) ) ) ) ) , file(nat_1, t13_nat_1)).
thf(t1_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k2_xcmplx_0 @ A)  @ k6_numbers) )  @ A) ) ) , file(arithm, t1_arithm)).
thf(t1_numerals, axiom,  ( (m1_subset_1 @ k1_xboole_0)  @ k4_ordinal1) , file(numerals, t1_numerals)).
thf(t1_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ( ( ( (r1_xxreal_0 @ A)  @ B)  &  (v2_xxreal_0 @ A) )  =>  (v2_xxreal_0 @ B) ) ) ) ) ) , file(real, t1_real)).
thf(t1_subset, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (r2_hidden @ A)  @ B)  =>  ( (m1_subset_1 @ A)  @ B) ) ) ) , file(subset, t1_subset)).
thf(t1_xxreal_0, axiom,  (! [A: $i] :  ( (v1_xxreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xxreal_0 @ B)  =>  ( ( ( (r1_xxreal_0 @ A)  @ B)  &  ( (r1_xxreal_0 @ B)  @ A) )  =>  ( (= @ A)  @ B) ) ) ) ) ) , file(xxreal_0, t1_xxreal_0)).
thf(t26_aofa_i00, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  ( (v2_aofa_i00 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) ) )  =>  (! [B: $i] :  ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_card_3 @ B) )  =>  (! [C: $i] :  ( ( ( ( (m2_funct_2 @ C)  @ B)  @ k4_numbers)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  =>  (! [D: $i] :  ( ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) ) )  =>  (! [E: $i] :  ( ( ( ( ( (v1_aofa_i00 @ E)  @ A)  @ B)  @ D)  &  ( ( ( (m1_aofa_000 @ E)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ D) )  =>  (! [F: $i] :  ( ( ( ( ( (m1_aofa_i00 @ F)  @ B)  @  (u1_struct_0 @ A) )  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ E)  =>  (! [G: $i] :  ( ( ( ( ( (m3_aofa_i00 @ G)  @ A)  @ B)  @ D)  @ E)  =>  ( ( (= @  ( ( ( (k21_aofa_i00 @ B)  @ k4_numbers)  @  ( ( ( ( ( (k2_binop_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @  (u1_struct_0 @ A) )  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ E)  @ C)  @  ( ( ( ( ( (k47_aofa_i00 @ A)  @ B)  @ D)  @ E)  @ F)  @ G) ) )  @ F) )  @  ( ( ( (k3_funct_2 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ k4_numbers)  @ G)  @ C) )  &  (! [H: $i] :  ( ( (m1_subset_1 @ H)  @ B)  =>  ( ~ ( ( (= @ H)  @ F) )  =>  ( (= @  ( ( ( (k21_aofa_i00 @ B)  @ k4_numbers)  @  ( ( ( ( ( (k2_binop_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @  (u1_struct_0 @ A) )  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ E)  @ C)  @  ( ( ( ( ( (k47_aofa_i00 @ A)  @ B)  @ D)  @ E)  @ F)  @ G) ) )  @ H) )  @  ( ( ( (k21_aofa_i00 @ B)  @ k4_numbers)  @ C)  @ H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(aofa_i00, t26_aofa_i00)).
thf(t28_aofa_i00, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  ( (v2_aofa_i00 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) ) )  =>  (! [B: $i] :  ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_card_3 @ B) )  =>  (! [C: $i] :  ( ( ( ( (m2_funct_2 @ C)  @ B)  @ k4_numbers)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  =>  (! [D: $i] :  ( ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) ) )  =>  (! [E: $i] :  ( ( ( ( ( (v1_aofa_i00 @ E)  @ A)  @ B)  @ D)  &  ( ( ( (m1_aofa_000 @ E)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ D) )  =>  (! [F: $i] :  ( (v1_int_1 @ F)  =>  (! [G: $i] :  ( ( ( ( ( (m1_aofa_i00 @ G)  @ B)  @  (u1_struct_0 @ A) )  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ E)  =>  ( ( (= @  ( ( ( (k21_aofa_i00 @ B)  @ k4_numbers)  @  ( ( ( ( ( (k2_binop_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @  (u1_struct_0 @ A) )  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ E)  @ C)  @  ( ( ( ( ( (k57_aofa_i00 @ A)  @ B)  @ D)  @ E)  @ G)  @ F) ) )  @ G) )  @  ( (k2_xcmplx_0 @  ( ( ( (k21_aofa_i00 @ B)  @ k4_numbers)  @ C)  @ G) )  @ F) )  &  (! [H: $i] :  ( ( (m1_subset_1 @ H)  @ B)  =>  ( ~ ( ( (= @ H)  @ G) )  =>  ( (= @  ( ( ( (k21_aofa_i00 @ B)  @ k4_numbers)  @  ( ( ( ( ( (k2_binop_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @  (u1_struct_0 @ A) )  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ E)  @ C)  @  ( ( ( ( ( (k57_aofa_i00 @ A)  @ B)  @ D)  @ E)  @ G)  @ F) ) )  @ H) )  @  ( ( ( (k21_aofa_i00 @ B)  @ k4_numbers)  @ C)  @ H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(aofa_i00, t28_aofa_i00)).
thf(t2_aofa_i00, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v4_funct_1 @ A) )  =>  (! [B: $i] :  (! [C: $i] :  (! [D: $i] :  ( ( (m1_subset_1 @ D)  @ A)  =>  ( ( (r2_hidden @ D)  @  ( ( (k1_aofa_i00 @ A)  @ B)  @ C) )  <=>  ~ ( ( (= @  ( (k1_funct_1 @ D)  @ B) )  @ C) ) ) ) ) ) ) ) ) , file(aofa_i00, t2_aofa_i00)).
thf(t2_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k3_xcmplx_0 @ A)  @ k6_numbers) )  @ k6_numbers) ) ) , file(arithm, t2_arithm)).
thf(t2_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ( ( ( (r1_xxreal_0 @ A)  @ B)  &  (v3_xxreal_0 @ B) )  =>  (v3_xxreal_0 @ A) ) ) ) ) ) , file(real, t2_real)).
thf(t2_subset, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (m1_subset_1 @ A)  @ B)  =>  ( (v1_xboole_0 @ B)  |  ( (r2_hidden @ A)  @ B) ) ) ) ) , file(subset, t2_subset)).
thf(t35_aofa_i00, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  ( (v3_aofa_000 @ A)  &  ( (v4_aofa_000 @ A)  &  ( (v5_aofa_000 @ A)  &  ( (v6_aofa_000 @ A)  &  ( (v2_aofa_i00 @ A)  &  (l1_unialg_1 @ A) ) ) ) ) ) ) ) ) )  =>  (! [B: $i] :  ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_card_3 @ B) )  =>  (! [C: $i] :  ( ( ( ( (m2_funct_2 @ C)  @ B)  @ k4_numbers)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  =>  (! [D: $i] :  ( ( (m1_subset_1 @ D)  @ B)  =>  (! [E: $i] :  ( ( ( ( ( (v1_aofa_i00 @ E)  @ A)  @ B)  @  ( ( (k1_aofa_i00 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ D)  @ k6_numbers) )  &  ( ( ( (m1_aofa_000 @ E)  @ A)  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @  ( ( (k1_aofa_i00 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ D)  @ k6_numbers) ) )  =>  (! [F: $i] :  ( ( ( ( ( (m1_aofa_i00 @ F)  @ B)  @  (u1_struct_0 @ A) )  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ E)  =>  (! [G: $i] :  ( ( ( ( ( (m1_aofa_i00 @ G)  @ B)  @  (u1_struct_0 @ A) )  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ E)  =>  ( ( ( (r1_xxreal_0 @  ( ( ( (k21_aofa_i00 @ B)  @ k4_numbers)  @ C)  @ F) )  @  ( ( ( (k21_aofa_i00 @ B)  @ k4_numbers)  @ C)  @ G) )  =>  ( (= @  ( ( ( (k21_aofa_i00 @ B)  @ k4_numbers)  @  ( ( ( ( ( (k2_binop_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @  (u1_struct_0 @ A) )  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ E)  @ C)  @  ( ( ( ( ( (k74_aofa_i00 @ A)  @ B)  @ D)  @ E)  @ F)  @ G) ) )  @ D) )  @ np__1) )  &  ( ( ~ ( ( (r1_xxreal_0 @  ( ( ( (k21_aofa_i00 @ B)  @ k4_numbers)  @ C)  @ F) )  @  ( ( ( (k21_aofa_i00 @ B)  @ k4_numbers)  @ C)  @ G) ) )  =>  ( (= @  ( ( ( (k21_aofa_i00 @ B)  @ k4_numbers)  @  ( ( ( ( ( (k2_binop_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @  (u1_struct_0 @ A) )  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ E)  @ C)  @  ( ( ( ( ( (k74_aofa_i00 @ A)  @ B)  @ D)  @ E)  @ F)  @ G) ) )  @ D) )  @ k6_numbers) )  &  (! [H: $i] :  ( ( (m1_subset_1 @ H)  @ B)  =>  ( ~ ( ( (= @ H)  @ D) )  =>  ( (= @  ( ( ( (k21_aofa_i00 @ B)  @ k4_numbers)  @  ( ( ( ( ( (k2_binop_1 @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @  (u1_struct_0 @ A) )  @  ( (k9_funct_2 @ B)  @ k4_numbers) )  @ E)  @ C)  @  ( ( ( ( ( (k74_aofa_i00 @ A)  @ B)  @ D)  @ E)  @ F)  @ G) ) )  @ H) )  @  ( ( ( (k21_aofa_i00 @ B)  @ k4_numbers)  @ C)  @ H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(aofa_i00, t35_aofa_i00)).
thf(t39_xreal_1, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  (! [C: $i] :  ( (v1_xreal_0 @ C)  =>  ~ ( ( ~ ( ( (r1_xxreal_0 @ A)  @ k6_numbers) )  &  ( ( (r1_xxreal_0 @ B)  @ C)  &  ( (r1_xxreal_0 @  ( (k2_xcmplx_0 @ A)  @ C) )  @ B) ) ) ) ) ) ) ) ) ) , file(xreal_1, t39_xreal_1)).
thf(t3_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k3_xcmplx_0 @ np__1)  @ A) )  @ A) ) ) , file(arithm, t3_arithm)).
thf(t3_boole, axiom,  (! [A: $i] :  ( (= @  ( (k4_xboole_0 @ A)  @ k1_xboole_0) )  @ A) ) , file(boole, t3_boole)).
thf(t3_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ~ ( ( ( (r1_xxreal_0 @ A)  @ B)  &  ( ~ ( (v3_xxreal_0 @ A) )  &  (v3_xxreal_0 @ B) ) ) ) ) ) ) ) , file(real, t3_real)).
thf(t3_subset, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @ B) )  <=>  ( (r1_tarski @ A)  @ B) ) ) ) , file(subset, t3_subset)).
thf(t4_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k6_xcmplx_0 @ A)  @ k6_numbers) )  @ A) ) ) , file(arithm, t4_arithm)).
thf(t4_boole, axiom,  (! [A: $i] :  ( (= @  ( (k4_xboole_0 @ k1_xboole_0)  @ A) )  @ k1_xboole_0) ) , file(boole, t4_boole)).
thf(t4_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ~ ( ( ( (r1_xxreal_0 @ A)  @ B)  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v2_xxreal_0 @ A) ) ) ) ) ) ) ) , file(real, t4_real)).
thf(t4_subset, axiom,  (! [A: $i] :  (! [B: $i] :  (! [C: $i] :  ( ( ( (r2_hidden @ A)  @ B)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ C) ) )  =>  ( (m1_subset_1 @ A)  @ C) ) ) ) ) , file(subset, t4_subset)).
thf(t5_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k7_xcmplx_0 @ k6_numbers)  @ A) )  @ k6_numbers) ) ) , file(arithm, t5_arithm)).
thf(t5_int_1, axiom,  (! [A: $i] :  ( (v1_int_1 @ A)  =>  (! [B: $i] :  ( (v1_int_1 @ B)  =>  ( ( (r1_xxreal_0 @ A)  @ B)  =>  ( (r2_hidden @  ( (k6_xcmplx_0 @ B)  @ A) )  @ k5_numbers) ) ) ) ) ) , file(int_1, t5_int_1)).
thf(t5_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ( ( (r1_xxreal_0 @ A)  @ B)  =>  ( (v1_xboole_0 @ B)  |  ( (v3_xxreal_0 @ A)  |  (v2_xxreal_0 @ B) ) ) ) ) ) ) ) , file(real, t5_real)).
thf(t5_subset, axiom,  (! [A: $i] :  (! [B: $i] :  (! [C: $i] :  ~ ( ( ( (r2_hidden @ A)  @ B)  &  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ C) )  &  (v1_xboole_0 @ C) ) ) ) ) ) ) , file(subset, t5_subset)).
thf(t6_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k7_xcmplx_0 @ A)  @ np__1) )  @ A) ) ) , file(arithm, t6_arithm)).
thf(t6_boole, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  ( (= @ A)  @ k1_xboole_0) ) ) , file(boole, t6_boole)).
thf(t6_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ( ( (r1_xxreal_0 @ A)  @ B)  =>  ( (v1_xboole_0 @ A)  |  ( (v2_xxreal_0 @ B)  |  (v3_xxreal_0 @ A) ) ) ) ) ) ) ) , file(real, t6_real)).
thf(t7_boole, axiom,  (! [A: $i] :  (! [B: $i] :  ~ ( ( ( (r2_hidden @ A)  @ B)  &  (v1_xboole_0 @ B) ) ) ) ) , file(boole, t7_boole)).
thf(t7_int_1, axiom,  (! [A: $i] :  ( (v1_int_1 @ A)  =>  (! [B: $i] :  ( (v1_int_1 @ B)  =>  ( ~ ( ( (r1_xxreal_0 @ B)  @ A) )  =>  ( (r1_xxreal_0 @  ( (k3_real_1 @ A)  @ np__1) )  @ B) ) ) ) ) ) , file(int_1, t7_int_1)).
thf(t7_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ~ ( ( ~ ( ( (r1_xxreal_0 @ A)  @ B) )  &  ( ~ ( (v2_xxreal_0 @ A) )  &  ~ ( (v3_xxreal_0 @ B) ) ) ) ) ) ) ) ) , file(real, t7_real)).
thf(t8_boole, axiom,  (! [A: $i] :  (! [B: $i] :  ~ ( ( (v1_xboole_0 @ A)  &  ( ~ ( ( (= @ A)  @ B) )  &  (v1_xboole_0 @ B) ) ) ) ) ) , file(boole, t8_boole)).
thf(t8_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ~ ( ( ~ ( ( (r1_xxreal_0 @ A)  @ B) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  ~ ( (v2_xxreal_0 @ A) ) ) ) ) ) ) ) ) , file(real, t8_real)).
thf(s3_aofa_000, axiom,  (! [A: $i > $i] :  (! [B: $i] :  (! [C: $i] :  (! [D: $i] :  (! [E: $i] :  (! [F: $i > $o] :  (! [G: $i] :  (! [H: $i] :  ( ( ( ( (r2_hidden @ H)  @ G)  <=>  (F @ H) )  &  (! [I: $i] :  ( ( (m1_subset_1 @ I)  @ E)  =>  ( (F @ I)  =>  ( ( (F @  ( ( ( ( ( (k2_binop_1 @ E)  @  (u1_struct_0 @ D) )  @ E)  @ C)  @ I)  @ B) )  =>  ( (r2_hidden @  ( ( ( ( ( (k2_binop_1 @ E)  @  (u1_struct_0 @ D) )  @ E)  @ C)  @ I)  @ B) )  @ G) )  &  ( ( ( (r2_hidden @  ( ( ( ( ( (k2_binop_1 @ E)  @  (u1_struct_0 @ D) )  @ E)  @ C)  @ I)  @ B) )  @ G)  =>  (F @  ( ( ( ( ( (k2_binop_1 @ E)  @  (u1_struct_0 @ D) )  @ E)  @ C)  @ I)  @ B) ) )  &  ~ ( ( (r1_xxreal_0 @  (A @ I) )  @  (A @  ( ( ( ( ( (k2_binop_1 @ E)  @  (u1_struct_0 @ D) )  @ E)  @ C)  @ I)  @ B) ) ) ) ) ) ) ) ) )  =>  ( ( ( ( ( (r4_aofa_000 @ D)  @ B)  @ E)  @ H)  @ G)  @ C) ) ) ) ) ) ) ) ) ) , file(aofa_000, s3_aofa_000)).
thf(s5_aofa_000, axiom,  (! [A: $i > $o] :  (! [B: $i] :  (! [C: $i] :  (! [D: $i] :  (! [E: $i] :  (! [F: $i] :  (! [G: $i] :  (! [H: $i > $o] :  (! [I: $i] :  ( ( (H @ I)  &  ( ( ( ( ( ( (r4_aofa_000 @ G)  @  ( ( (k13_aofa_000 @ G)  @ F)  @ E) )  @ D)  @  ( ( ( ( ( (k2_binop_1 @ D)  @  (u1_struct_0 @ G) )  @ D)  @ C)  @ I)  @ E) )  @ B)  @ C)  &  ( (! [J: $i] :  ( ( (m1_subset_1 @ J)  @ D)  =>  ( ( (H @ J)  &  ( ( (r2_hidden @ J)  @ B)  &  (A @ J) ) )  =>  (H @  ( ( ( ( ( (k2_binop_1 @ D)  @  (u1_struct_0 @ G) )  @ D)  @ C)  @ J)  @ F) ) ) ) )  &  (! [J: $i] :  ( ( (m1_subset_1 @ J)  @ D)  =>  ( (H @ J)  =>  ( (H @  ( ( ( ( ( (k2_binop_1 @ D)  @  (u1_struct_0 @ G) )  @ D)  @ C)  @ J)  @ E) )  &  ( ( ( (r2_hidden @  ( ( ( ( ( (k2_binop_1 @ D)  @  (u1_struct_0 @ G) )  @ D)  @ C)  @ J)  @ E) )  @ B)  =>  (A @  ( ( ( ( ( (k2_binop_1 @ D)  @  (u1_struct_0 @ G) )  @ D)  @ C)  @ J)  @ E) ) )  &  ( (A @  ( ( ( ( ( (k2_binop_1 @ D)  @  (u1_struct_0 @ G) )  @ D)  @ C)  @ J)  @ E) )  =>  ( (r2_hidden @  ( ( ( ( ( (k2_binop_1 @ D)  @  (u1_struct_0 @ G) )  @ D)  @ C)  @ J)  @ E) )  @ B) ) ) ) ) ) ) ) ) )  =>  ( (H @  ( ( ( ( ( (k2_binop_1 @ D)  @  (u1_struct_0 @ G) )  @ D)  @ C)  @ I)  @  ( ( (k16_aofa_000 @ G)  @ E)  @ F) ) )  &  ~ ( (A @  ( ( ( ( ( (k2_binop_1 @ D)  @  (u1_struct_0 @ G) )  @ D)  @ C)  @ I)  @  ( ( (k16_aofa_000 @ G)  @ E)  @ F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(aofa_000, s5_aofa_000)).
thf(s2_aofa_i00, conjecture,  ( ( ( (= @ f5_s2_aofa_i00)  @  ( ( ( ( (k17_aofa_000 @ f1_s2_aofa_i00)  @  ( ( ( ( ( (k47_aofa_i00 @ f1_s2_aofa_i00)  @ f2_s2_aofa_i00)  @  ( ( (k1_aofa_i00 @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @ f3_s2_aofa_i00)  @ k6_numbers) )  @ f6_s2_aofa_i00)  @ f7_s2_aofa_i00)  @ f10_s2_aofa_i00) )  @  ( ( ( ( ( (k67_aofa_i00 @ f1_s2_aofa_i00)  @ f2_s2_aofa_i00)  @ f3_s2_aofa_i00)  @ f6_s2_aofa_i00)  @  ( ( ( ( (k42_aofa_i00 @ f1_s2_aofa_i00)  @ f2_s2_aofa_i00)  @  ( ( (k1_aofa_i00 @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @ f3_s2_aofa_i00)  @ k6_numbers) )  @ f6_s2_aofa_i00)  @ f8_s2_aofa_i00) )  @  ( ( ( ( (k42_aofa_i00 @ f1_s2_aofa_i00)  @ f2_s2_aofa_i00)  @  ( ( (k1_aofa_i00 @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @ f3_s2_aofa_i00)  @ k6_numbers) )  @ f6_s2_aofa_i00)  @ f7_s2_aofa_i00) ) )  @ f4_s2_aofa_i00)  @  ( ( ( ( ( (k57_aofa_i00 @ f1_s2_aofa_i00)  @ f2_s2_aofa_i00)  @  ( ( (k1_aofa_i00 @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @ f3_s2_aofa_i00)  @ k6_numbers) )  @ f6_s2_aofa_i00)  @ f7_s2_aofa_i00)  @  (k4_xcmplx_0 @ np__1) ) ) )  &  ( (p1_s2_aofa_i00 @  ( ( ( ( ( (k2_binop_1 @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @  (u1_struct_0 @ f1_s2_aofa_i00) )  @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @ f6_s2_aofa_i00)  @ f9_s2_aofa_i00)  @  ( ( ( ( ( (k47_aofa_i00 @ f1_s2_aofa_i00)  @ f2_s2_aofa_i00)  @  ( ( (k1_aofa_i00 @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @ f3_s2_aofa_i00)  @ k6_numbers) )  @ f6_s2_aofa_i00)  @ f7_s2_aofa_i00)  @ f10_s2_aofa_i00) ) )  &  ( (! [A: $i] :  ( ( ( ( (m2_funct_2 @ A)  @ f2_s2_aofa_i00)  @ k4_numbers)  @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  =>  ( (p1_s2_aofa_i00 @ A)  =>  ( (p1_s2_aofa_i00 @  ( ( ( ( ( (k2_binop_1 @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @  (u1_struct_0 @ f1_s2_aofa_i00) )  @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @ f6_s2_aofa_i00)  @ A)  @  ( ( (k13_aofa_000 @ f1_s2_aofa_i00)  @ f4_s2_aofa_i00)  @  ( ( ( ( ( (k57_aofa_i00 @ f1_s2_aofa_i00)  @ f2_s2_aofa_i00)  @  ( ( (k1_aofa_i00 @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @ f3_s2_aofa_i00)  @ k6_numbers) )  @ f6_s2_aofa_i00)  @ f7_s2_aofa_i00)  @  (k4_xcmplx_0 @ np__1) ) ) ) )  &  (p1_s2_aofa_i00 @  ( ( ( ( ( (k2_binop_1 @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @  (u1_struct_0 @ f1_s2_aofa_i00) )  @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @ f6_s2_aofa_i00)  @ A)  @  ( ( ( ( ( (k74_aofa_i00 @ f1_s2_aofa_i00)  @ f2_s2_aofa_i00)  @ f3_s2_aofa_i00)  @ f6_s2_aofa_i00)  @ f8_s2_aofa_i00)  @ f7_s2_aofa_i00) ) ) ) ) ) )  &  ( (! [A: $i] :  ( ( ( ( (m2_funct_2 @ A)  @ f2_s2_aofa_i00)  @ k4_numbers)  @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  =>  ( (p1_s2_aofa_i00 @ A)  =>  ( ( (= @  ( ( ( (k21_aofa_i00 @ f2_s2_aofa_i00)  @ k4_numbers)  @  ( ( ( ( ( (k2_binop_1 @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @  (u1_struct_0 @ f1_s2_aofa_i00) )  @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @ f6_s2_aofa_i00)  @ A)  @ f4_s2_aofa_i00) )  @ f7_s2_aofa_i00) )  @  ( ( ( (k21_aofa_i00 @ f2_s2_aofa_i00)  @ k4_numbers)  @ A)  @ f7_s2_aofa_i00) )  &  ( (= @  ( ( ( (k21_aofa_i00 @ f2_s2_aofa_i00)  @ k4_numbers)  @  ( ( ( ( ( (k2_binop_1 @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @  (u1_struct_0 @ f1_s2_aofa_i00) )  @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @ f6_s2_aofa_i00)  @ A)  @ f4_s2_aofa_i00) )  @ f8_s2_aofa_i00) )  @  ( ( ( (k21_aofa_i00 @ f2_s2_aofa_i00)  @ k4_numbers)  @ A)  @ f8_s2_aofa_i00) ) ) ) ) )  &  ( ~ ( ( (= @ f8_s2_aofa_i00)  @ f7_s2_aofa_i00) )  &  ( ~ ( ( (= @ f8_s2_aofa_i00)  @ f3_s2_aofa_i00) )  &  ~ ( ( (= @ f7_s2_aofa_i00)  @ f3_s2_aofa_i00) ) ) ) ) ) ) )  =>  ( (p1_s2_aofa_i00 @  ( ( ( ( ( (k2_binop_1 @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @  (u1_struct_0 @ f1_s2_aofa_i00) )  @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @ f6_s2_aofa_i00)  @ f9_s2_aofa_i00)  @ f5_s2_aofa_i00) )  &  ( ( ( (r1_xxreal_0 @  ( ( ( (k21_aofa_i00 @ f2_s2_aofa_i00)  @ k4_numbers)  @ f9_s2_aofa_i00)  @ f8_s2_aofa_i00) )  @  ( ( ( (k3_funct_2 @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @ k4_numbers)  @ f10_s2_aofa_i00)  @ f9_s2_aofa_i00) )  =>  ( (= @  ( ( ( (k21_aofa_i00 @ f2_s2_aofa_i00)  @ k4_numbers)  @  ( ( ( ( ( (k2_binop_1 @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @  (u1_struct_0 @ f1_s2_aofa_i00) )  @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @ f6_s2_aofa_i00)  @ f9_s2_aofa_i00)  @ f5_s2_aofa_i00) )  @ f7_s2_aofa_i00) )  @  ( (k6_xcmplx_0 @  ( ( ( (k21_aofa_i00 @ f2_s2_aofa_i00)  @ k4_numbers)  @ f9_s2_aofa_i00)  @ f8_s2_aofa_i00) )  @ np__1) ) )  &  ( ( ~ ( ( (r1_xxreal_0 @  ( ( ( (k21_aofa_i00 @ f2_s2_aofa_i00)  @ k4_numbers)  @ f9_s2_aofa_i00)  @ f8_s2_aofa_i00) )  @  ( ( ( (k3_funct_2 @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @ k4_numbers)  @ f10_s2_aofa_i00)  @ f9_s2_aofa_i00) ) )  =>  ( (= @  ( ( ( (k21_aofa_i00 @ f2_s2_aofa_i00)  @ k4_numbers)  @  ( ( ( ( ( (k2_binop_1 @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @  (u1_struct_0 @ f1_s2_aofa_i00) )  @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @ f6_s2_aofa_i00)  @ f9_s2_aofa_i00)  @ f5_s2_aofa_i00) )  @ f7_s2_aofa_i00) )  @  ( ( ( (k3_funct_2 @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @ k4_numbers)  @ f10_s2_aofa_i00)  @ f9_s2_aofa_i00) ) )  &  ( (= @  ( ( ( (k21_aofa_i00 @ f2_s2_aofa_i00)  @ k4_numbers)  @  ( ( ( ( ( (k2_binop_1 @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @  (u1_struct_0 @ f1_s2_aofa_i00) )  @  ( (k9_funct_2 @ f2_s2_aofa_i00)  @ k4_numbers) )  @ f6_s2_aofa_i00)  @ f9_s2_aofa_i00)  @ f5_s2_aofa_i00) )  @ f8_s2_aofa_i00) )  @  ( ( ( (k21_aofa_i00 @ f2_s2_aofa_i00)  @ k4_numbers)  @ f9_s2_aofa_i00)  @ f8_s2_aofa_i00) ) ) ) ) ) , file(aofa_i00, s2_aofa_i00)).
thf(sethood_m1_subset_1, axiom, ( ! [A: $i] :  ( sethood @ ( ^ [X: $i] : (m1_subset_1 @ X @ A) ) ) ) , file(subset_1, m1_subset_1)).
