% Mizar problem: s5_aofa_000,aofa_000,5019,19 
include('Axioms/SET010^0.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(f1_s5_aofa_000_type, type, f1_s5_aofa_000: $i).
thf(f2_s5_aofa_000_type, type, f2_s5_aofa_000: $i).
thf(f3_s5_aofa_000_type, type, f3_s5_aofa_000: $i).
thf(f4_s5_aofa_000_type, type, f4_s5_aofa_000: $i).
thf(f5_s5_aofa_000_type, type, f5_s5_aofa_000: $i).
thf(f6_s5_aofa_000_type, type, f6_s5_aofa_000: $i).
thf(f7_s5_aofa_000_type, type, f7_s5_aofa_000: $i).
thf(k10_finseq_1_type, type, k10_finseq_1: $i > $i > $i).
thf(k10_xtuple_0_type, type, k10_xtuple_0: $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(k16_aofa_000_type, type, k16_aofa_000: $i > $i > $i > $i).
thf(k1_binop_1_type, type, k1_binop_1: $i > $i > $i > $i).
thf(k1_card_1_type, type, k1_card_1: $i > $i).
thf(k1_funct_1_type, type, k1_funct_1: $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_relset_1_type, type, k1_relset_1: $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(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_nat_1_type, type, k2_nat_1: $i > $i > $i).
thf(k2_pua2mss1_type, type, k2_pua2mss1: $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(k3_finseq_1_type, type, k3_finseq_1: $i > $i).
thf(k3_finseq_2_type, type, k3_finseq_2: $i > $i).
thf(k3_numbers_type, type, k3_numbers: $i).
thf(k3_xcmplx_0_type, type, k3_xcmplx_0: $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_xcmplx_0_type, type, k4_xcmplx_0: $i > $i).
thf(k5_finseq_1_type, type, k5_finseq_1: $i > $i).
thf(k5_numbers_type, type, k5_numbers: $i).
thf(k6_numbers_type, type, k6_numbers: $i).
thf(k6_xcmplx_0_type, type, k6_xcmplx_0: $i > $i > $i).
thf(k7_finseq_1_type, type, k7_finseq_1: $i > $i > $i).
thf(k9_finseq_1_type, type, k9_finseq_1: $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(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_finseq_1_type, type, m1_finseq_1: $i > $i > $o).
thf(m1_finseq_2_type, type, m1_finseq_2: $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_finseq_1_type, type, m2_finseq_1: $i > $i > $o).
thf(m2_subset_1_type, type, m2_subset_1: $i > $i > $i > $o).
thf(p1_s5_aofa_000_type, type, p1_s5_aofa_000: $i > $o).
thf(p2_s5_aofa_000_type, type, p2_s5_aofa_000: $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(r4_aofa_000_type, type, r4_aofa_000: $i > $i > $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(v1_card_1_type, type, v1_card_1: $i > $o).
thf(v1_facirc_1_type, type, v1_facirc_1: $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_funct_7_type, type, v1_funct_7: $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_subset_1_type, type, v1_subset_1: $i > $i > $o).
thf(v1_trees_1_type, type, v1_trees_1: $i > $o).
thf(v1_trees_3_type, type, v1_trees_3: $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_xxreal_2_type, type, v1_xxreal_2: $i > $o).
thf(v1_zfmisc_1_type, type, v1_zfmisc_1: $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_facirc_1_type, type, v2_facirc_1: $i > $o).
thf(v2_finseq_1_type, type, v2_finseq_1: $i > $o).
thf(v2_finset_1_type, type, v2_finset_1: $i > $o).
thf(v2_funct_1_type, type, v2_funct_1: $i > $o).
thf(v2_margrel1_type, type, v2_margrel1: $i > $o).
thf(v2_membered_type, type, v2_membered: $i > $o).
thf(v2_relat_1_type, type, v2_relat_1: $i > $o).
thf(v2_struct_0_type, type, v2_struct_0: $i > $o).
thf(v2_trees_3_type, type, v2_trees_3: $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(v2_xxreal_2_type, type, v2_xxreal_2: $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_finseq_1_type, type, v3_finseq_1: $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_relat_1_type, type, v3_relat_1: $i > $o).
thf(v3_trees_2_type, type, v3_trees_2: $i > $o).
thf(v3_trees_3_type, type, v3_trees_3: $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(v3_xxreal_2_type, type, v3_xxreal_2: $i > $o).
thf(v4_aofa_000_type, type, v4_aofa_000: $i > $o).
thf(v4_funct_1_type, type, v4_funct_1: $i > $o).
thf(v4_margrel1_type, type, v4_margrel1: $i > $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_trees_3_type, type, v4_trees_3: $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(v4_xxreal_2_type, type, v4_xxreal_2: $i > $o).
thf(v5_aofa_000_type, type, v5_aofa_000: $i > $o).
thf(v5_finset_1_type, type, v5_finset_1: $i > $o).
thf(v5_margrel1_type, type, v5_margrel1: $i > $i > $o).
thf(v5_membered_type, type, v5_membered: $i > $o).
thf(v5_relat_1_type, type, v5_relat_1: $i > $i > $o).
thf(v5_trees_3_type, type, v5_trees_3: $i > $o).
thf(v5_valued_0_type, type, v5_valued_0: $i > $o).
thf(v5_xxreal_2_type, type, v5_xxreal_2: $i > $o).
thf(v6_aofa_000_type, type, v6_aofa_000: $i > $o).
thf(v6_membered_type, type, v6_membered: $i > $o).
thf(v6_trees_3_type, type, v6_trees_3: $i > $o).
thf(v6_valued_0_type, type, v6_valued_0: $i > $o).
thf(v6_xxreal_2_type, type, v6_xxreal_2: $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_finseq_1, axiom,  (! [A: $i] :  ( (v3_finseq_1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v1_finseq_1 @ B) ) ) ) ) , file(finseq_1, cc10_finseq_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(cc10_xxreal_2, axiom,  (! [A: $i] :  ( ( (v3_membered @ A)  &  (v1_xxreal_2 @ A) )  =>  ( (v3_membered @ A)  &  (v3_xxreal_2 @ A) ) ) ) , file(xxreal_2, cc10_xxreal_2)).
thf(cc11_finseq_1, axiom,  (! [A: $i] :  ( (v3_finseq_1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v3_finseq_1 @ B) ) ) ) ) , file(finseq_1, cc11_finseq_1)).
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(cc11_xxreal_2, axiom,  (! [A: $i] :  ( ( (v3_membered @ A)  &  (v2_xxreal_2 @ A) )  =>  ( (v3_membered @ A)  &  (v4_xxreal_2 @ A) ) ) ) , file(xxreal_2, cc11_xxreal_2)).
thf(cc12_finseq_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v3_valued_0 @ A)  &  ( (v5_valued_0 @ A)  &  (v1_finseq_1 @ A) ) ) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v2_funct_1 @ A)  &  ( (v3_valued_0 @ A)  &  (v1_finseq_1 @ A) ) ) ) ) ) ) , file(finseq_1, cc12_finseq_1)).
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_trees_3, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v1_xboole_0 @ A) )  &  (v1_trees_1 @ 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_funct_2 @ C)  @ A)  @ B)  &  (v3_trees_2 @ C) ) ) ) ) ) ) ) , file(trees_3, cc12_trees_3)).
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(cc12_xxreal_2, axiom,  (! [A: $i] :  ( ( (v5_membered @ A)  &  (v5_xxreal_2 @ A) )  =>  ( (v5_membered @ A)  &  (v1_finset_1 @ A) ) ) ) , file(xxreal_2, cc12_xxreal_2)).
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_trees_3, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_xboole_0 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v4_trees_3 @ A)  &  ( (v5_trees_3 @ A)  &  (v6_trees_3 @ A) ) ) ) ) ) ) , file(trees_3, cc13_trees_3)).
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(cc13_xxreal_2, axiom,  (! [A: $i] :  ( ( (v6_membered @ A)  &  (v4_xxreal_2 @ A) )  =>  ( (v6_membered @ A)  &  ( (v1_finset_1 @ A)  &  (v4_xxreal_2 @ A) ) ) ) ) , file(xxreal_2, cc13_xxreal_2)).
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_trees_3, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v5_trees_3 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v4_trees_3 @ A) ) ) ) ) , file(trees_3, cc14_trees_3)).
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(cc14_xxreal_2, axiom,  (! [A: $i] :  ( ( (v2_membered @ A)  &  (v5_xxreal_2 @ A) )  =>  ( (v2_membered @ A)  &  (v3_membered @ A) ) ) ) , file(xxreal_2, cc14_xxreal_2)).
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_trees_3, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v1_trees_3 @ A) )  =>  (! [B: $i] :  ( ( (m1_finseq_1 @ B)  @ A)  =>  (v4_trees_3 @ B) ) ) ) ) , file(trees_3, cc15_trees_3)).
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(cc15_xxreal_2, axiom,  (! [A: $i] :  ( ( (v2_membered @ A)  &  (v1_xboole_0 @ A) )  =>  ( (v2_membered @ A)  &  (v6_xxreal_2 @ A) ) ) ) , file(xxreal_2, cc15_xxreal_2)).
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_trees_3, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v2_trees_3 @ A) )  =>  (! [B: $i] :  ( ( (m1_finseq_1 @ B)  @ A)  =>  (v5_trees_3 @ B) ) ) ) ) , file(trees_3, cc16_trees_3)).
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(cc16_xxreal_2, axiom,  (! [A: $i] :  ( ( (v2_membered @ A)  &  (v1_xxreal_2 @ A) )  =>  ( (v2_membered @ A)  &  ~ ( (v1_xboole_0 @ A) ) ) ) ) , file(xxreal_2, cc16_xxreal_2)).
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_trees_3, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v3_trees_3 @ A) )  =>  (! [B: $i] :  ( ( (m1_finseq_1 @ B)  @ A)  =>  (v6_trees_3 @ B) ) ) ) ) , file(trees_3, cc17_trees_3)).
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(cc17_xxreal_2, axiom,  (! [A: $i] :  ( ( (v2_membered @ A)  &  (v2_xxreal_2 @ A) )  =>  ( (v2_membered @ A)  &  ~ ( (v1_xboole_0 @ A) ) ) ) ) , file(xxreal_2, cc17_xxreal_2)).
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_card_1, axiom,  (! [A: $i] :  ( (v1_card_1 @ A)  =>  (v3_ordinal1 @ A) ) ) , file(card_1, cc1_card_1)).
thf(cc1_card_5, axiom,  (! [A: $i] :  ( ~ ( (v1_finset_1 @ A) )  =>  ~ ( (v1_xboole_0 @ A) ) ) ) , file(card_5, cc1_card_5)).
thf(cc1_facirc_1, axiom,  (! [A: $i] :  ( (v1_xtuple_0 @ A)  =>  ~ ( (v1_xboole_0 @ A) ) ) ) , file(facirc_1, cc1_facirc_1)).
thf(cc1_finseq_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_xboole_0 @ A) )  =>  ( (v1_relat_1 @ A)  &  (v1_finseq_1 @ A) ) ) ) , file(finseq_1, cc1_finseq_1)).
thf(cc1_finset_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v1_finset_1 @ A) ) ) , file(finset_1, cc1_finset_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_funct_7, axiom,  (! [A: $i] :  ( ( (v1_xboole_0 @ A)  &  ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_funcop_1 @ A) ) ) ) ) , file(funct_7, cc1_funct_7)).
thf(cc1_margrel1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v2_card_3 @ A) ) ) , file(margrel1, cc1_margrel1)).
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_pua2mss1, axiom,  (! [A: $i] :  ( (v1_setfam_1 @ A)  =>  (! [B: $i] :  ( ( (m1_finseq_1 @ B)  @ A)  =>  (v2_relat_1 @ B) ) ) ) ) , file(pua2mss1, cc1_pua2mss1)).
thf(cc1_relat_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v1_relat_1 @ A) ) ) , file(relat_1, cc1_relat_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_subset_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v1_xboole_0 @ B) ) ) ) ) , file(subset_1, cc1_subset_1)).
thf(cc1_trees_3, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  ( (v1_trees_3 @ A)  &  ( (v2_trees_3 @ A)  &  (v3_trees_3 @ A) ) ) ) ) , file(trees_3, cc1_trees_3)).
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_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_card_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v1_card_1 @ A) ) ) , file(card_1, cc2_card_1)).
thf(cc2_facirc_1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  ( (v7_ordinal1 @ A)  &  ~ ( (v1_xtuple_0 @ A) ) ) ) ) , file(facirc_1, cc2_facirc_1)).
thf(cc2_finseq_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finset_1 @ A) ) ) ) ) , file(finseq_1, cc2_finseq_1)).
thf(cc2_finseq_2, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (m1_finseq_2 @ B)  @ A)  =>  (v4_funct_1 @ B) ) ) ) , file(finseq_2, cc2_finseq_2)).
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_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_funct_7, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v1_finseq_1 @ A)  &  (v1_funct_7 @ A) ) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v1_funcop_1 @ A)  &  (v1_finseq_1 @ A) ) ) ) ) ) , file(funct_7, cc2_funct_7)).
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_pua2mss1, axiom,  (! [A: $i] :  ( (l1_unialg_1 @ A)  =>  ( (v4_unialg_1 @ A)  =>  ~ ( (v2_struct_0 @ A) ) ) ) ) , file(pua2mss1, cc2_pua2mss1)).
thf(cc2_relat_1, axiom,  (! [A: $i] :  ( (v1_relat_1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v1_relat_1 @ B) ) ) ) ) , file(relat_1, cc2_relat_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_subset_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  ( ~ ( ( (v1_subset_1 @ B)  @ A) )  =>  ~ ( (v1_xboole_0 @ B) ) ) ) ) ) ) , file(subset_1, cc2_subset_1)).
thf(cc2_trees_3, axiom,  (! [A: $i] :  ( (v2_trees_3 @ A)  =>  (v1_trees_3 @ A) ) ) , file(trees_3, cc2_trees_3)).
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_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(cc2_xxreal_2, axiom,  (! [A: $i] :  ( ( (v2_membered @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  (v1_finset_1 @ A) ) )  =>  ( (v2_membered @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_xxreal_2 @ A)  &  (v2_xxreal_2 @ A) ) ) ) ) ) , file(xxreal_2, cc2_xxreal_2)).
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_facirc_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  ~ ( (v1_facirc_1 @ A) ) ) ) , file(facirc_1, cc3_facirc_1)).
thf(cc3_finseq_1, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (m1_finseq_1 @ B)  @ A)  =>  ( (v5_relat_1 @ B)  @ A) ) ) ) , file(finseq_1, cc3_finseq_1)).
thf(cc3_finseq_2, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (m1_finseq_2 @ B)  @ A)  =>  (v3_finseq_1 @ B) ) ) ) , file(finseq_2, cc3_finseq_2)).
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_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_funct_7, axiom,  (! [A: $i] :  ( ( (v1_xboole_0 @ A)  &  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v1_finseq_1 @ A)  &  (v1_funct_7 @ A) ) ) ) ) ) , file(funct_7, cc3_funct_7)).
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_relat_1, axiom,  (! [A: $i] :  ( ( (v1_xboole_0 @ A)  &  (v1_relat_1 @ A) )  =>  ( (v1_relat_1 @ A)  &  (v3_relat_1 @ A) ) ) ) , file(relat_1, cc3_relat_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_subset_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  ( (v1_xboole_0 @ B)  =>  ( (v1_subset_1 @ B)  @ A) ) ) ) ) ) , file(subset_1, cc3_subset_1)).
thf(cc3_trees_3, axiom,  (! [A: $i] :  ( (v1_trees_3 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v1_trees_3 @ B) ) ) ) ) , file(trees_3, cc3_trees_3)).
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(cc3_xxreal_2, axiom,  (! [A: $i] :  ( ( (v6_membered @ A)  &  ~ ( (v1_xboole_0 @ A) ) )  =>  ( (v6_membered @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  (v1_xxreal_2 @ A) ) ) ) ) , file(xxreal_2, cc3_xxreal_2)).
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_facirc_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ~ ( (v1_facirc_1 @ A) ) )  =>  (v1_xboole_0 @ A) ) ) , file(facirc_1, cc4_facirc_1)).
thf(cc4_finseq_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_xboole_0 @ A) )  =>  ( (v1_relat_1 @ A)  &  (v1_finseq_1 @ A) ) ) ) , file(finseq_1, cc4_finseq_1)).
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_relat_1, axiom,  (! [A: $i] :  ( ( (v1_xboole_0 @ A)  &  (v1_relat_1 @ A) )  =>  ( (v1_relat_1 @ A)  &  (v2_relat_1 @ A) ) ) ) , file(relat_1, cc4_relat_1)).
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_subset_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  ~ ( ( (v1_subset_1 @ B)  @ A) ) ) ) ) ) , file(subset_1, cc4_subset_1)).
thf(cc4_trees_3, axiom,  (! [A: $i] :  ( (v2_trees_3 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v2_trees_3 @ B) ) ) ) ) , file(trees_3, cc4_trees_3)).
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(cc4_xxreal_2, axiom,  (! [A: $i] :  ( ( (v2_membered @ A)  &  (v5_xxreal_2 @ A) )  =>  ( (v2_membered @ A)  &  ( (v3_xxreal_2 @ A)  &  (v4_xxreal_2 @ A) ) ) ) ) , file(xxreal_2, cc4_xxreal_2)).
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_finseq_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) ) ) ) ) , file(finseq_1, cc5_finseq_1)).
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_relat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v4_relat_1 @ B)  @ A) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @ B) )  =>  ( (v4_relat_1 @ C)  @ A) ) ) ) ) , file(relat_1, cc5_relat_1)).
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_subset_1, axiom,  (! [A: $i] :  ( (v1_zfmisc_1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v1_zfmisc_1 @ B) ) ) ) ) , file(subset_1, cc5_subset_1)).
thf(cc5_trees_3, axiom,  (! [A: $i] :  ( (v3_trees_3 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v3_trees_3 @ B) ) ) ) ) , file(trees_3, cc5_trees_3)).
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(cc5_xxreal_2, axiom,  (! [A: $i] :  ( ( (v2_membered @ A)  &  ( (v3_xxreal_2 @ A)  &  (v4_xxreal_2 @ A) ) )  =>  ( (v2_membered @ A)  &  (v5_xxreal_2 @ A) ) ) ) , file(xxreal_2, cc5_xxreal_2)).
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_finseq_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_finseq_1 @ A) ) ) ) ) , file(finseq_1, cc6_finseq_1)).
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_relat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v5_relat_1 @ B)  @ A) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @ B) )  =>  ( (v5_relat_1 @ C)  @ A) ) ) ) ) , file(relat_1, cc6_relat_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_trees_3, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v1_trees_3 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  ( ~ ( (v1_xboole_0 @ B) )  &  (v1_trees_1 @ B) ) ) ) ) ) , file(trees_3, cc6_trees_3)).
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(cc6_xxreal_2, axiom,  (! [A: $i] :  ( ( (v3_membered @ A)  &  (v1_finset_1 @ A) )  =>  ( (v3_membered @ A)  &  (v5_xxreal_2 @ A) ) ) ) , file(xxreal_2, cc6_xxreal_2)).
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_finseq_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_finseq_1 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  (v2_finseq_1 @ A) ) ) ) ) ) , file(finseq_1, cc7_finseq_1)).
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_relat_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v4_relat_1 @ B)  @ A) )  =>  ( (v1_xboole_0 @ B)  &  ( (v1_relat_1 @ B)  &  ( (v4_relat_1 @ B)  @ A) ) ) ) ) ) ) , file(relat_1, cc7_relat_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_trees_3, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v2_trees_3 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v1_finset_1 @ B) ) ) ) ) , file(trees_3, cc7_trees_3)).
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(cc7_xxreal_2, axiom,  (! [A: $i] :  ( ( (v5_membered @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  (v4_xxreal_2 @ A) ) )  =>  ( (v5_membered @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  (v2_xxreal_2 @ A) ) ) ) ) , file(xxreal_2, cc7_xxreal_2)).
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_finseq_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v3_finseq_1 @ A) ) ) , file(finseq_1, cc8_finseq_1)).
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_relat_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v5_relat_1 @ B)  @ A) )  =>  ( (v1_xboole_0 @ B)  &  ( (v1_relat_1 @ B)  &  ( (v5_relat_1 @ B)  @ A) ) ) ) ) ) ) , file(relat_1, cc8_relat_1)).
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_trees_3, axiom,  (! [A: $i] :  ( (v3_trees_3 @ A)  =>  (v4_funct_1 @ A) ) ) , file(trees_3, cc8_trees_3)).
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(cc8_xxreal_2, axiom,  (! [A: $i] :  ( ( (v5_membered @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  (v3_xxreal_2 @ A) ) )  =>  ( (v5_membered @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  (v1_xxreal_2 @ A) ) ) ) ) , file(xxreal_2, cc8_xxreal_2)).
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_finseq_1, axiom,  (! [A: $i] :  ( (v3_finseq_1 @ A)  =>  (v4_funct_1 @ A) ) ) , file(finseq_1, cc9_finseq_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_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_trees_3, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v3_trees_3 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v3_trees_2 @ B) ) ) ) ) , file(trees_3, cc9_trees_3)).
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(cc9_xxreal_2, axiom,  (! [A: $i] :  ( (v6_membered @ A)  =>  ( (v6_membered @ A)  &  (v3_xxreal_2 @ A) ) ) ) , file(xxreal_2, cc9_xxreal_2)).
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_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(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_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_pua2mss1, axiom,  (! [A: $i] :  ( ( (v4_unialg_1 @ A)  &  (l1_unialg_1 @ A) )  =>  (! [B: $i] :  ( ( ( (m2_subset_1 @ B)  @ k5_numbers)  @  (k4_finseq_1 @  (u1_unialg_1 @ A) ) )  =>  ( (= @  ( (k2_pua2mss1 @ A)  @ B) )  @  ( (k1_funct_1 @  (u1_unialg_1 @ A) )  @ B) ) ) ) ) ) , file(pua2mss1, d1_pua2mss1)).
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(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_xboole_0, axiom,  ( (= @ k1_xboole_0)  @  (eps @  (^ [A: $i] :  (v1_xboole_0 @ A) ) ) ) , file(xboole_0, d2_xboole_0)).
thf(d33_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] :  ( ~ ( (v1_xboole_0 @ C) )  =>  (! [D: $i] :  ( ( (m1_subset_1 @ D)  @ C)  =>  (! [E: $i] :  ( ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @ C) )  =>  (! [F: $i] :  ( ( ( ( (m1_aofa_000 @ F)  @ A)  @ C)  @ E)  =>  ( ( ( ( ( ( (r4_aofa_000 @ A)  @ B)  @ C)  @ D)  @ E)  @ F)  <=>  (? [G: $i] :  ( ( ~ ( (v1_xboole_0 @ G) )  &  ( (m2_finseq_1 @ G)  @ C) )  &  ( ( (= @  ( (k1_funct_1 @ G)  @ np__1) )  @ D)  &  ( ~ ( ( (r2_hidden @  ( (k1_funct_1 @ G)  @  (k3_finseq_1 @ G) ) )  @ E) )  &  (! [H: $i] :  ( (v7_ordinal1 @ H)  =>  ( ( (r1_xxreal_0 @ np__1)  @ H)  =>  ( ( (r1_xxreal_0 @  (k3_finseq_1 @ G) )  @ H)  |  ( ( (r2_hidden @  ( (k1_funct_1 @ G)  @ H) )  @ E)  &  ( (= @  ( (k1_funct_1 @ G)  @  ( (k1_nat_1 @ H)  @ np__1) ) )  @  ( ( (k1_binop_1 @ F)  @  ( (k1_funct_1 @ G)  @ H) )  @ B) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(aofa_000, d33_aofa_000)).
thf(d5_finseq_1, axiom,  (! [A: $i] :  ( (= @  (k5_finseq_1 @ A) )  @  (k1_tarski @  ( (k4_tarski @ np__1)  @ A) ) ) ) , file(finseq_1, d5_finseq_1)).
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(d9_finseq_1, axiom,  (! [A: $i] :  (! [B: $i] :  ( (= @  ( (k10_finseq_1 @ A)  @ B) )  @  ( (k7_finseq_1 @  (k9_finseq_1 @ A) )  @  (k9_finseq_1 @ B) ) ) ) ) , file(finseq_1, d9_finseq_1)).
thf(dt_f1_s5_aofa_000, axiom,  ( ~ ( (v2_struct_0 @ f1_s5_aofa_000) )  &  ( (v2_unialg_1 @ f1_s5_aofa_000)  &  ( (v3_unialg_1 @ f1_s5_aofa_000)  &  ( (v4_unialg_1 @ f1_s5_aofa_000)  &  ( (v3_aofa_000 @ f1_s5_aofa_000)  &  ( (v4_aofa_000 @ f1_s5_aofa_000)  &  ( (v5_aofa_000 @ f1_s5_aofa_000)  &  ( (v6_aofa_000 @ f1_s5_aofa_000)  &  (l1_unialg_1 @ f1_s5_aofa_000) ) ) ) ) ) ) ) ) , file(aofa_000, f1_s5_aofa_000)).
thf(dt_f2_s5_aofa_000, axiom,  ( (m1_subset_1 @ f2_s5_aofa_000)  @  (u1_struct_0 @ f1_s5_aofa_000) ) , file(aofa_000, f2_s5_aofa_000)).
thf(dt_f3_s5_aofa_000, axiom,  ( (m1_subset_1 @ f3_s5_aofa_000)  @  (u1_struct_0 @ f1_s5_aofa_000) ) , file(aofa_000, f3_s5_aofa_000)).
thf(dt_f4_s5_aofa_000, axiom,  ~ ( (v1_xboole_0 @ f4_s5_aofa_000) ) , file(aofa_000, f4_s5_aofa_000)).
thf(dt_f5_s5_aofa_000, axiom,  ( (m1_subset_1 @ f5_s5_aofa_000)  @ f4_s5_aofa_000) , file(aofa_000, f5_s5_aofa_000)).
thf(dt_f6_s5_aofa_000, axiom,  ( (m1_subset_1 @ f6_s5_aofa_000)  @  (k1_zfmisc_1 @ f4_s5_aofa_000) ) , file(aofa_000, f6_s5_aofa_000)).
thf(dt_f7_s5_aofa_000, axiom,  ( ( ( (m1_aofa_000 @ f7_s5_aofa_000)  @ f1_s5_aofa_000)  @ f4_s5_aofa_000)  @ f6_s5_aofa_000) , file(aofa_000, f7_s5_aofa_000)).
thf(dt_k10_finseq_1, axiom, $true, file(finseq_1, k10_finseq_1)).
thf(dt_k10_xtuple_0, axiom, $true, file(xtuple_0, k10_xtuple_0)).
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_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_k1_binop_1, axiom, $true, file(binop_1, k1_binop_1)).
thf(dt_k1_card_1, axiom,  (! [A: $i] :  (v1_card_1 @  (k1_card_1 @ A) ) ) , file(card_1, k1_card_1)).
thf(dt_k1_funct_1, axiom, $true, file(funct_1, k1_funct_1)).
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_relset_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v4_relat_1 @ B)  @ A) )  =>  ( (m1_subset_1 @  ( (k1_relset_1 @ A)  @ B) )  @  (k1_zfmisc_1 @ A) ) ) ) , file(relset_1, k1_relset_1)).
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_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_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_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_k3_finseq_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) )  =>  ( ( (m2_subset_1 @  (k3_finseq_1 @ A) )  @ k1_numbers)  @ k5_numbers) ) ) , file(finseq_1, k3_finseq_1)).
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_numbers, axiom, $true, file(numbers, k3_numbers)).
thf(dt_k3_xcmplx_0, axiom, $true, file(xcmplx_0, k3_xcmplx_0)).
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_xcmplx_0, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  (v1_xcmplx_0 @  (k4_xcmplx_0 @ A) ) ) ) , file(xcmplx_0, k4_xcmplx_0)).
thf(dt_k5_finseq_1, axiom, $true, file(finseq_1, k5_finseq_1)).
thf(dt_k5_numbers, axiom,  ( (m1_subset_1 @ k5_numbers)  @  (k1_zfmisc_1 @ k1_numbers) ) , file(numbers, k5_numbers)).
thf(dt_k6_numbers, axiom,  ( ( (m2_subset_1 @ k6_numbers)  @ k1_numbers)  @ k5_numbers) , file(numbers, k6_numbers)).
thf(dt_k6_xcmplx_0, axiom, $true, file(xcmplx_0, k6_xcmplx_0)).
thf(dt_k7_finseq_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v1_finseq_1 @ B) ) ) )  =>  ( (v1_relat_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  ( (v1_funct_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  (v1_finseq_1 @  ( (k7_finseq_1 @ A)  @ B) ) ) ) ) ) , file(finseq_1, k7_finseq_1)).
thf(dt_k9_finseq_1, axiom,  (! [A: $i] :  ( (v1_relat_1 @  (k9_finseq_1 @ A) )  &  (v1_funct_1 @  (k9_finseq_1 @ A) ) ) ) , file(finseq_1, k9_finseq_1)).
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_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_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_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_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_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_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_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_finseq_1, axiom,  (! [A: $i] :  (? [B: $i] :  ( (m2_finseq_1 @ B)  @ A) ) ) , file(finseq_1, m2_finseq_1)).
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(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_finseq_1, axiom,  (! [A: $i, B: $i] :  (v1_finseq_1 @  ( (k10_finseq_1 @ A)  @ B) ) ) , file(finseq_1, fc10_finseq_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_membered, axiom,  (! [A: $i] :  ( (v1_rat_1 @ A)  =>  (v4_membered @  (k1_tarski @ A) ) ) ) , file(membered, fc10_membered)).
thf(fc10_relat_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v1_xboole_0 @  (k9_xtuple_0 @ A) ) ) ) , file(relat_1, fc10_relat_1)).
thf(fc10_subset_1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ~ ( (v1_xboole_0 @ B) ) )  =>  ~ ( (v1_xboole_0 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) ) , file(subset_1, fc10_subset_1)).
thf(fc10_trees_3, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v1_xboole_0 @ A) )  &  (v1_trees_1 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  (v1_trees_1 @ B) ) )  =>  ( ~ ( (v1_xboole_0 @  ( (k10_finseq_1 @ A)  @ B) ) )  &  (v4_trees_3 @  ( (k10_finseq_1 @ A)  @ B) ) ) ) ) , file(trees_3, fc10_trees_3)).
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(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_facirc_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xtuple_0 @ A) )  =>  (v2_facirc_1 @  (k5_finseq_1 @ A) ) ) ) , file(facirc_1, fc11_facirc_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_relat_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v1_xboole_0 @  (k10_xtuple_0 @ A) ) ) ) , file(relat_1, fc11_relat_1)).
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(fc11_xxreal_2, axiom,  ( ~ ( (v3_xxreal_2 @ k1_numbers) )  &  ~ ( (v4_xxreal_2 @ k1_numbers) ) ) , file(xxreal_2, fc11_xxreal_2)).
thf(fc12_facirc_1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xtuple_0 @ A) )  &  ~ ( (v1_xtuple_0 @ B) ) )  =>  (v2_facirc_1 @  ( (k10_finseq_1 @ A)  @ B) ) ) ) , file(facirc_1, fc12_facirc_1)).
thf(fc12_finseq_1, axiom,  (! [A: $i] :  ~ ( (v1_xboole_0 @  (k13_finseq_1 @ A) ) ) ) , file(finseq_1, fc12_finseq_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_trees_3, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_finset_1 @ A)  &  (v1_trees_1 @ A) ) )  =>  (v5_trees_3 @  (k5_finseq_1 @ A) ) ) ) , file(trees_3, fc12_trees_3)).
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_card_1, axiom,  (! [A: $i] :  ( (v3_card_1 @  (k1_tarski @ A) )  @ np__1) ) , file(card_1, fc13_card_1)).
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_trees_3, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_finset_1 @ A)  &  (v1_trees_1 @ A) ) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( (v1_finset_1 @ B)  &  (v1_trees_1 @ B) ) ) )  =>  (v5_trees_3 @  ( (k10_finseq_1 @ A)  @ B) ) ) ) , file(trees_3, fc13_trees_3)).
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_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_facirc_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_facirc_1 @ A) ) )  =>  ~ ( (v1_facirc_1 @  (k10_xtuple_0 @ A) ) ) ) ) , file(facirc_1, fc14_facirc_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_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_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_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_trees_3, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v3_trees_2 @ A) ) )  =>  ( ~ ( (v1_xboole_0 @  (k5_finseq_1 @ A) ) )  &  (v6_trees_3 @  (k5_finseq_1 @ A) ) ) ) ) , file(trees_3, fc15_trees_3)).
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_finseq_1, axiom,  (! [A: $i] :  ~ ( (v1_xboole_0 @  (k5_finseq_1 @ A) ) ) ) , file(finseq_1, fc16_finseq_1)).
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_trees_3, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v3_trees_2 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v3_trees_2 @ B) ) ) )  =>  ( ~ ( (v1_xboole_0 @  ( (k10_finseq_1 @ A)  @ B) ) )  &  (v6_trees_3 @  ( (k10_finseq_1 @ A)  @ B) ) ) ) ) , file(trees_3, fc16_trees_3)).
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_finseq_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  ( ~ ( (v1_xboole_0 @ B) )  &  (v1_finseq_1 @ B) ) ) ) )  =>  ( (v1_relat_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  ( (v1_funct_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  ( ~ ( (v1_xboole_0 @  ( (k7_finseq_1 @ A)  @ B) ) )  &  (v1_finseq_1 @  ( (k7_finseq_1 @ A)  @ B) ) ) ) ) ) ) , file(finseq_1, fc17_finseq_1)).
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_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_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(fc17_xxreal_2, axiom,  (v6_xxreal_2 @ k1_numbers) , file(xxreal_2, fc17_xxreal_2)).
thf(fc18_finseq_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  ( ~ ( (v1_xboole_0 @ B) )  &  (v1_finseq_1 @ B) ) ) ) )  =>  ( (v1_relat_1 @  ( (k7_finseq_1 @ B)  @ A) )  &  ( (v1_funct_1 @  ( (k7_finseq_1 @ B)  @ A) )  &  ( ~ ( (v1_xboole_0 @  ( (k7_finseq_1 @ B)  @ A) ) )  &  (v1_finseq_1 @  ( (k7_finseq_1 @ B)  @ A) ) ) ) ) ) ) , file(finseq_1, fc18_finseq_1)).
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_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_finseq_1, axiom,  (! [A: $i, B: $i] :  ~ ( (v1_xboole_0 @  ( (k10_finseq_1 @ A)  @ B) ) ) ) , file(finseq_1, fc19_finseq_1)).
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_funct_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v3_relat_1 @ A)  &  (v1_funct_1 @ A) ) )  =>  (v1_xboole_0 @  ( (k1_funct_1 @ A)  @ B) ) ) ) , file(funct_1, fc19_funct_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_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_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_card_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  ( (v1_xboole_0 @  (k1_card_1 @ A) )  &  (v1_card_1 @  (k1_card_1 @ A) ) ) ) ) , file(card_1, fc1_card_1)).
thf(fc1_facirc_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xtuple_0 @ A) )  =>  ~ ( (v1_facirc_1 @  (k1_tarski @ A) ) ) ) ) , file(facirc_1, fc1_facirc_1)).
thf(fc1_finset_1, axiom,  (! [A: $i] :  (v1_finset_1 @  (k1_tarski @ A) ) ) , file(finset_1, fc1_finset_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_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_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_subset_1, axiom,  (! [A: $i] :  ~ ( (v1_xboole_0 @  (k1_zfmisc_1 @ A) ) ) ) , file(subset_1, fc1_subset_1)).
thf(fc1_trees_1, axiom,  (v1_trees_1 @  (k1_tarski @ k1_xboole_0) ) , file(trees_1, fc1_trees_1)).
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_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_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_finseq_1, axiom,  (! [A: $i] :  (v4_funct_1 @  (k13_finseq_1 @ A) ) ) , file(finseq_1, fc22_finseq_1)).
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_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_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_finseq_1, axiom,  (! [A: $i] :  ( (v3_card_1 @  (k5_finseq_1 @ A) )  @ np__1) ) , file(finseq_1, fc24_finseq_1)).
thf(fc24_relat_1, axiom,  (! [A: $i] :  ( ( (v1_zfmisc_1 @ A)  &  (v1_relat_1 @ A) )  =>  (v1_zfmisc_1 @  (k9_xtuple_0 @ A) ) ) ) , file(relat_1, fc24_relat_1)).
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_finseq_1, axiom,  (! [A: $i, B: $i] :  ( (v3_card_1 @  ( (k10_finseq_1 @ A)  @ B) )  @ np__2) ) , file(finseq_1, fc25_finseq_1)).
thf(fc25_relat_1, axiom,  (! [A: $i] :  ( ( (v1_zfmisc_1 @ A)  &  (v1_relat_1 @ A) )  =>  (v1_zfmisc_1 @  (k10_xtuple_0 @ A) ) ) ) , file(relat_1, fc25_relat_1)).
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_finseq_1, axiom,  (! [A: $i] :  (v3_finseq_1 @  (k13_finseq_1 @ A) ) ) , file(finseq_1, fc27_finseq_1)).
thf(fc28_finseq_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( (v7_ordinal1 @ A)  &  ( ( (m1_subset_1 @ B)  @ k5_numbers)  &  ( ( (v1_relat_1 @ C)  &  ( (v1_funct_1 @ C)  &  ( ( (v3_card_1 @ C)  @ A)  &  (v1_finseq_1 @ C) ) ) )  &  ( (v1_relat_1 @ D)  &  ( (v1_funct_1 @ D)  &  ( ( (v3_card_1 @ D)  @ B)  &  (v1_finseq_1 @ D) ) ) ) ) ) )  =>  ( (v1_relat_1 @  ( (k7_finseq_1 @ C)  @ D) )  &  ( (v1_funct_1 @  ( (k7_finseq_1 @ C)  @ D) )  &  ( ( (v3_card_1 @  ( (k7_finseq_1 @ C)  @ D) )  @  ( (k1_nat_1 @ A)  @ B) )  &  (v1_finseq_1 @  ( (k7_finseq_1 @ C)  @ D) ) ) ) ) ) ) , file(finseq_1, fc28_finseq_1)).
thf(fc29_finseq_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (v3_finseq_1 @ A)  &  ( (v1_relat_1 @ B)  &  ( ( (v5_relat_1 @ B)  @ A)  &  (v1_funct_1 @ B) ) ) )  =>  (v1_finseq_1 @  ( (k1_funct_1 @ B)  @ C) ) ) ) , file(finseq_1, fc29_finseq_1)).
thf(fc2_aofa_000, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v2_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) ) )  &  ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v1_finseq_1 @ B) ) ) ) )  =>  ( (v1_relat_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  ( (v2_relat_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  ( (v1_funct_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  (v1_finseq_1 @  ( (k7_finseq_1 @ A)  @ B) ) ) ) ) ) ) , file(aofa_000, fc2_aofa_000)).
thf(fc2_card_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  ( ~ ( (v1_xboole_0 @  (k1_card_1 @ A) ) )  &  (v1_card_1 @  (k1_card_1 @ A) ) ) ) ) , file(card_1, fc2_card_1)).
thf(fc2_facirc_1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xtuple_0 @ A) )  &  ~ ( (v1_xtuple_0 @ B) ) )  =>  ~ ( (v1_facirc_1 @  ( (k2_tarski @ A)  @ B) ) ) ) ) , file(facirc_1, fc2_facirc_1)).
thf(fc2_finset_1, axiom,  (! [A: $i, B: $i] :  (v1_finset_1 @  ( (k2_tarski @ A)  @ B) ) ) , file(finset_1, fc2_finset_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_trees_2, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v3_trees_2 @ A) ) )  =>  ( ~ ( (v1_xboole_0 @  (k9_xtuple_0 @ A) ) )  &  (v1_trees_1 @  (k9_xtuple_0 @ A) ) ) ) ) , file(trees_2, fc2_trees_2)).
thf(fc2_unialg_1, axiom,  (! [A: $i] :  ( ( (v2_unialg_1 @ A)  &  (l1_unialg_1 @ A) )  =>  ( (v4_margrel1 @  (u1_unialg_1 @ A) )  @  (u1_struct_0 @ A) ) ) ) , file(unialg_1, fc2_unialg_1)).
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(fc30_finset_1, axiom,  (! [A: $i] :  ( (v1_finset_1 @ A)  =>  (v5_finset_1 @  (k1_tarski @ A) ) ) ) , file(finset_1, fc30_finset_1)).
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(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(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_funct_7, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) )  =>  (v1_funcop_1 @  (k5_finseq_1 @ A) ) ) ) , file(funct_7, fc3_funct_7)).
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_unialg_1, axiom,  (! [A: $i] :  ( ( (v3_unialg_1 @ A)  &  (l1_unialg_1 @ A) )  =>  ( (v5_margrel1 @  (u1_unialg_1 @ A) )  @  (u1_struct_0 @ A) ) ) ) , file(unialg_1, fc3_unialg_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_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(fc4_card_1, axiom,  (v1_card_1 @ k4_ordinal1) , file(card_1, fc4_card_1)).
thf(fc4_funct_7, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) )  &  ( (v1_relat_1 @ B)  &  (v1_funct_1 @ B) ) )  =>  (v1_funcop_1 @  ( (k10_finseq_1 @ A)  @ B) ) ) ) , file(funct_7, fc4_funct_7)).
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_unialg_1, axiom,  (! [A: $i] :  ( ( (v4_unialg_1 @ A)  &  (l1_unialg_1 @ A) )  =>  ( (v2_relat_1 @  (u1_unialg_1 @ A) )  &  ~ ( (v1_xboole_0 @  (u1_unialg_1 @ A) ) ) ) ) ) , file(unialg_1, fc4_unialg_1)).
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_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_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_relat_1, axiom,  (! [A: $i, B: $i] :  (v1_relat_1 @  (k1_tarski @  ( (k4_tarski @ A)  @ B) ) ) ) , file(relat_1, fc5_relat_1)).
thf(fc5_unialg_1, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_unialg_1 @ A)  &  ( (v3_unialg_1 @ A)  &  ( (v4_unialg_1 @ A)  &  (l1_unialg_1 @ A) ) ) ) )  =>  (v1_funcop_1 @  (u1_unialg_1 @ A) ) ) ) , file(unialg_1, fc5_unialg_1)).
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_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(fc6_aofa_000, axiom,  (! [A: $i, B: $i] :  (v1_freealg @  ( (k2_zfmisc_1 @ A)  @ B) ) ) , file(aofa_000, fc6_aofa_000)).
thf(fc6_card_1, axiom,  (! [A: $i] :  ( (v1_finset_1 @ A)  =>  ( (v1_finset_1 @  (k1_card_1 @ A) )  &  (v1_card_1 @  (k1_card_1 @ A) ) ) ) ) , file(card_1, fc6_card_1)).
thf(fc6_finseq_1, axiom,  (! [A: $i] :  ( (v1_relat_1 @  (k5_finseq_1 @ A) )  &  (v1_funct_1 @  (k5_finseq_1 @ A) ) ) ) , file(finseq_1, fc6_finseq_1)).
thf(fc6_margrel1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  (k3_finseq_2 @ A) )  @ A) ) ) ) )  =>  (v3_finseq_1 @  (k9_xtuple_0 @ B) ) ) ) , file(margrel1, fc6_margrel1)).
thf(fc6_membered, axiom,  (v6_membered @ k4_ordinal1) , file(membered, fc6_membered)).
thf(fc6_relat_1, axiom,  (! [A: $i, B: $i] :  (v1_relat_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) , file(relat_1, fc6_relat_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_trees_3, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v1_finseq_1 @ A)  &  (v4_trees_3 @ A) ) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  ( (v1_finseq_1 @ B)  &  (v4_trees_3 @ B) ) ) ) )  =>  ( (v1_relat_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  ( (v1_funct_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  ( (v1_finseq_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  (v4_trees_3 @  ( (k7_finseq_1 @ A)  @ B) ) ) ) ) ) ) , file(trees_3, fc6_trees_3)).
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_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(fc7_card_1, axiom,  ~ ( (v1_finset_1 @ k4_ordinal1) ) , file(card_1, fc7_card_1)).
thf(fc7_finseq_1, axiom,  (! [A: $i] :  (v1_finseq_1 @  (k5_finseq_1 @ A) ) ) , file(finseq_1, fc7_finseq_1)).
thf(fc7_funct_7, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v1_funcop_1 @ A)  &  (v1_finseq_1 @ A) ) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  ( (v1_funcop_1 @ B)  &  (v1_finseq_1 @ B) ) ) ) )  =>  ( (v1_relat_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  ( (v1_funct_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  ( (v1_funcop_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  (v1_finseq_1 @  ( (k7_finseq_1 @ A)  @ B) ) ) ) ) ) ) , file(funct_7, fc7_funct_7)).
thf(fc7_margrel1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v2_margrel1 @ A) )  =>  (v2_card_3 @  (k9_xtuple_0 @ A) ) ) ) , file(margrel1, fc7_margrel1)).
thf(fc7_membered, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  (v1_membered @  (k1_tarski @ A) ) ) ) , file(membered, fc7_membered)).
thf(fc7_relat_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  (v1_relat_1 @  ( (k2_tarski @  ( (k4_tarski @ A)  @ B) )  @  ( (k4_tarski @ C)  @ D) ) ) ) , file(relat_1, fc7_relat_1)).
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_trees_3, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v1_finseq_1 @ A)  &  (v5_trees_3 @ A) ) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  ( (v1_finseq_1 @ B)  &  (v5_trees_3 @ B) ) ) ) )  =>  ( (v1_relat_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  ( (v1_funct_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  ( (v1_finseq_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  (v5_trees_3 @  ( (k7_finseq_1 @ A)  @ B) ) ) ) ) ) ) , file(trees_3, fc7_trees_3)).
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_card_1, axiom,  (! [A: $i] :  ( ~ ( (v1_finset_1 @ A) )  =>  ( ~ ( (v1_finset_1 @  (k1_card_1 @ A) ) )  &  (v1_card_1 @  (k1_card_1 @ A) ) ) ) ) , file(card_1, fc8_card_1)).
thf(fc8_facirc_1, axiom,  (! [A: $i] :  ( (v1_xtuple_0 @ A)  =>  (v1_relat_1 @  (k1_tarski @ A) ) ) ) , file(facirc_1, fc8_facirc_1)).
thf(fc8_finseq_1, axiom,  (! [A: $i, B: $i] :  ( (v1_relat_1 @  ( (k10_finseq_1 @ A)  @ B) )  &  (v1_funct_1 @  ( (k10_finseq_1 @ A)  @ B) ) ) ) , file(finseq_1, fc8_finseq_1)).
thf(fc8_margrel1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ( (v4_margrel1 @ B)  @ A)  &  ( (m1_finseq_1 @ B)  @  ( (k4_partfun1 @  (k3_finseq_2 @ A) )  @ A) ) ) )  =>  (v2_margrel1 @  ( (k1_funct_1 @ B)  @ C) ) ) ) , file(margrel1, fc8_margrel1)).
thf(fc8_membered, axiom,  (! [A: $i] :  ( (v1_xxreal_0 @ A)  =>  (v2_membered @  (k1_tarski @ A) ) ) ) , file(membered, fc8_membered)).
thf(fc8_relat_1, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v1_relat_1 @ A) )  =>  ~ ( (v1_xboole_0 @  (k9_xtuple_0 @ A) ) ) ) ) , file(relat_1, fc8_relat_1)).
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_trees_3, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v1_finseq_1 @ A)  &  (v6_trees_3 @ A) ) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  ( (v1_finseq_1 @ B)  &  (v6_trees_3 @ B) ) ) ) )  =>  ( (v1_relat_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  ( (v1_funct_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  ( (v1_finseq_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  (v6_trees_3 @  ( (k7_finseq_1 @ A)  @ B) ) ) ) ) ) ) , file(trees_3, fc8_trees_3)).
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_card_1, axiom,  (! [A: $i] :  ( ~ ( (v1_finset_1 @ A) )  =>  ~ ( (v1_finset_1 @  (k1_zfmisc_1 @ A) ) ) ) ) , file(card_1, fc9_card_1)).
thf(fc9_facirc_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xtuple_0 @ A)  &  (v1_xtuple_0 @ B) )  =>  (v1_relat_1 @  ( (k2_tarski @ A)  @ B) ) ) ) , file(facirc_1, fc9_facirc_1)).
thf(fc9_funct_7, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) )  =>  (v1_funct_7 @  (k5_finseq_1 @ A) ) ) ) , file(funct_7, fc9_funct_7)).
thf(fc9_membered, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (v3_membered @  (k1_tarski @ A) ) ) ) , file(membered, fc9_membered)).
thf(fc9_relat_1, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v1_relat_1 @ A) )  =>  ~ ( (v1_xboole_0 @  (k10_xtuple_0 @ A) ) ) ) ) , file(relat_1, fc9_relat_1)).
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_trees_3, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v1_trees_1 @ A) )  =>  ( ~ ( (v1_xboole_0 @  (k5_finseq_1 @ A) ) )  &  (v4_trees_3 @  (k5_finseq_1 @ A) ) ) ) ) , file(trees_3, fc9_trees_3)).
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(projectivity_k1_card_1, axiom,  (! [A: $i] :  ( (= @  (k1_card_1 @  (k1_card_1 @ A) ) )  @  (k1_card_1 @ A) ) ) , file(card_1, k1_card_1)).
thf(projectivity_k3_finseq_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) )  =>  ( (= @  (k3_finseq_1 @  (k3_finseq_1 @ A) ) )  @  (k3_finseq_1 @ A) ) ) ) , file(finseq_1, k3_finseq_1)).
thf(rc1_card_1, axiom,  (? [A: $i] :  (v1_card_1 @ A) ) , file(card_1, rc1_card_1)).
thf(rc1_facirc_1, axiom,  (? [A: $i] :  ~ ( (v1_xtuple_0 @ A) ) ) , file(facirc_1, rc1_facirc_1)).
thf(rc1_finseq_1, 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)  &  (v1_finseq_1 @ B) ) ) ) ) ) ) ) , file(finseq_1, rc1_finseq_1)).
thf(rc1_finseq_2, axiom,  (! [A: $i] :  (? [B: $i] :  ( ( (m1_finseq_2 @ B)  @ A)  &  ~ ( (v1_xboole_0 @ B) ) ) ) ) , file(finseq_2, rc1_finseq_2)).
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_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_funct_7, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_relat_1 @ A)  &  ( (v2_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  ( (v1_funcop_1 @ A)  &  ( (v1_finset_1 @ A)  &  ( (v1_finseq_1 @ A)  &  (v2_finseq_1 @ A) ) ) ) ) ) ) ) ) ) , file(funct_7, rc1_funct_7)).
thf(rc1_margrel1, axiom,  (? [A: $i] :  ( (v3_finseq_1 @ A)  &  (v2_card_3 @ A) ) ) , file(margrel1, rc1_margrel1)).
thf(rc1_membered, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v6_membered @ A) ) ) , file(membered, rc1_membered)).
thf(rc1_relat_1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v1_relat_1 @ A) ) ) , file(relat_1, rc1_relat_1)).
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_subset_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  ~ ( (v1_xboole_0 @ B) ) ) ) ) ) , file(subset_1, rc1_subset_1)).
thf(rc1_trees_1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v1_trees_1 @ A) ) ) , file(trees_1, rc1_trees_1)).
thf(rc1_trees_3, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_finset_1 @ A)  &  ( (v1_trees_3 @ A)  &  (v2_trees_3 @ A) ) ) ) ) , file(trees_3, rc1_trees_3)).
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_xboole_0, axiom,  (? [A: $i] :  (v1_xboole_0 @ A) ) , file(xboole_0, rc1_xboole_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(rc1_xxreal_2, axiom,  (? [A: $i] :  ( (v1_membered @ A)  &  ( (v2_membered @ A)  &  ( (v3_membered @ A)  &  ( (v4_membered @ A)  &  ( (v5_membered @ A)  &  ( (v6_membered @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_xxreal_2 @ A)  &  (v2_xxreal_2 @ A) ) ) ) ) ) ) ) ) ) , file(xxreal_2, rc1_xxreal_2)).
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_facirc_1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ~ ( (v1_facirc_1 @ A) ) ) ) , file(facirc_1, rc2_facirc_1)).
thf(rc2_finseq_1, axiom,  (! [A: $i] :  (? [B: $i] :  ( ( (m1_finseq_1 @ B)  @ A)  &  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ k5_numbers)  &  ( ( (v5_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_xboole_0 @ B)  &  ( (v1_finset_1 @ B)  &  (v1_finseq_1 @ B) ) ) ) ) ) ) ) ) ) , file(finseq_1, rc2_finseq_1)).
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_freealg, axiom,  (? [A: $i] :  ( ( (m1_finseq_1 @ A)  @ k5_numbers)  &  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_relat_1 @ A)  &  ( ~ ( (v2_relat_1 @ A) )  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( ( (v5_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  ( (v1_finset_1 @ A)  &  ( (v1_finseq_1 @ A)  &  (v2_finseq_1 @ A) ) ) ) ) ) ) ) ) ) ) , file(freealg, rc2_freealg)).
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_funct_7, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_relat_1 @ A)  &  ( (v2_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  ( (v1_finset_1 @ A)  &  ( (v1_finseq_1 @ A)  &  ( (v2_finseq_1 @ A)  &  (v1_funct_7 @ A) ) ) ) ) ) ) ) ) ) , file(funct_7, rc2_funct_7)).
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_relat_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  (v2_relat_1 @ A) ) ) , file(relat_1, rc2_relat_1)).
thf(rc2_subset_1, axiom,  (! [A: $i] :  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  (v1_xboole_0 @ B) ) ) ) , file(subset_1, rc2_subset_1)).
thf(rc2_trees_1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_finset_1 @ A)  &  (v1_trees_1 @ A) ) ) ) , file(trees_1, rc2_trees_1)).
thf(rc2_trees_3, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_finset_1 @ A)  &  (v3_trees_3 @ A) ) ) ) , file(trees_3, rc2_trees_3)).
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_xboole_0, axiom,  (? [A: $i] :  ~ ( (v1_xboole_0 @ A) ) ) , file(xboole_0, rc2_xboole_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(rc2_xxreal_2, axiom,  (? [A: $i] :  ( (v6_membered @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  (v1_finset_1 @ A) ) ) ) , file(xxreal_2, rc2_xxreal_2)).
thf(rc3_card_1, axiom,  (? [A: $i] :  ~ ( (v1_finset_1 @ A) ) ) , file(card_1, rc3_card_1)).
thf(rc3_finseq_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_finseq_1 @ A) ) ) ) , file(finseq_1, rc3_finseq_1)).
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_freealg, axiom,  (? [A: $i] :  ( ( (m1_finseq_1 @ A)  @ k5_numbers)  &  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_relat_1 @ A)  &  ( (v2_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( ( (v5_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  ( (v1_finset_1 @ A)  &  ( (v1_finseq_1 @ A)  &  (v2_finseq_1 @ A) ) ) ) ) ) ) ) ) ) ) , file(freealg, rc3_freealg)).
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_relat_1, axiom,  (! [A: $i, B: $i] :  (? [C: $i] :  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v5_relat_1 @ C)  @ B) ) ) ) ) , file(relat_1, rc3_relat_1)).
thf(rc3_subset_1, axiom,  (! [A: $i] :  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  ~ ( ( (v1_subset_1 @ B)  @ A) ) ) ) ) , file(subset_1, rc3_subset_1)).
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_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(rc3_xxreal_2, axiom,  (? [A: $i] :  ( (v1_membered @ A)  &  ( (v2_membered @ A)  &  ( (v3_membered @ A)  &  ( (v4_membered @ A)  &  ( (v5_membered @ A)  &  ( (v6_membered @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_xxreal_2 @ A)  &  (v5_xxreal_2 @ A) ) ) ) ) ) ) ) ) ) , file(xxreal_2, rc3_xxreal_2)).
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_finseq_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)  &  ( (v1_finseq_1 @ A)  &  (v2_finseq_1 @ A) ) ) ) ) ) ) ) , file(finseq_1, rc4_finseq_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_margrel1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  (v2_margrel1 @ A) ) ) ) ) , file(margrel1, rc4_margrel1)).
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_subset_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  ( (v1_subset_1 @ B)  @ A) ) ) ) ) , file(subset_1, rc4_subset_1)).
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_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(rc4_xxreal_2, axiom,  (? [A: $i] :  ( (v2_membered @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  (v6_xxreal_2 @ A) ) ) ) , file(xxreal_2, rc4_xxreal_2)).
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_finseq_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v2_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_finset_1 @ A)  &  ( (v1_finseq_1 @ A)  &  (v2_finseq_1 @ A) ) ) ) ) ) ) ) ) , file(finseq_1, rc5_finseq_1)).
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_subset_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  (v1_zfmisc_1 @ B) ) ) ) ) ) , file(subset_1, rc5_subset_1)).
thf(rc5_trees_2, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v3_trees_2 @ A) ) ) ) , file(trees_2, rc5_trees_2)).
thf(rc5_trees_3, 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)  &  ( (v1_finseq_1 @ A)  &  ( (v2_finseq_1 @ A)  &  ( (v4_trees_3 @ A)  &  (v5_trees_3 @ A) ) ) ) ) ) ) ) ) ) , file(trees_3, rc5_trees_3)).
thf(rc5_xxreal_2, axiom,  (? [A: $i] :  ( (v2_membered @ A)  &  ( (v1_xxreal_2 @ A)  &  ( (v2_xxreal_2 @ A)  &  (v6_xxreal_2 @ A) ) ) ) ) , file(xxreal_2, rc5_xxreal_2)).
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_finseq_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_finseq_1 @ B)  @ A)  &  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ k5_numbers)  &  ( ( (v5_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( (v1_finset_1 @ B)  &  ( (v1_finseq_1 @ B)  &  (v2_finseq_1 @ B) ) ) ) ) ) ) ) ) ) ) ) , file(finseq_1, rc6_finseq_1)).
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_subset_1, axiom,  (! [A: $i] :  ( ~ ( (v1_zfmisc_1 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  ~ ( (v1_zfmisc_1 @ B) ) ) ) ) ) , file(subset_1, rc6_subset_1)).
thf(rc6_trees_2, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( ( (v5_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  (v3_trees_2 @ B) ) ) ) ) ) ) , file(trees_2, rc6_trees_2)).
thf(rc6_trees_3, 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)  &  ( (v1_finseq_1 @ A)  &  ( (v2_finseq_1 @ A)  &  (v6_trees_3 @ A) ) ) ) ) ) ) ) ) , file(trees_3, rc6_trees_3)).
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(rc6_xxreal_2, axiom,  (? [A: $i] :  ( (v2_membered @ A)  &  ( ~ ( (v1_xxreal_2 @ A) )  &  ( (v2_xxreal_2 @ A)  &  (v6_xxreal_2 @ A) ) ) ) ) , file(xxreal_2, rc6_xxreal_2)).
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_finseq_1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ k5_numbers)  &  ( (v1_funct_1 @ B)  &  ( (v1_finset_1 @ B)  &  ( ( (v3_card_1 @ B)  @ A)  &  ( (v1_finseq_1 @ B)  &  (v2_finseq_1 @ B) ) ) ) ) ) ) ) ) ) , file(finseq_1, rc7_finseq_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(rc7_trees_2, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v1_finset_1 @ A)  &  (v3_trees_2 @ A) ) ) ) ) , file(trees_2, rc7_trees_2)).
thf(rc7_trees_3, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v4_trees_3 @ A)  &  (v5_trees_3 @ A) ) ) ) ) ) , file(trees_3, rc7_trees_3)).
thf(rc7_xxreal_2, axiom,  (? [A: $i] :  ( (v2_membered @ A)  &  ( (v1_xxreal_2 @ A)  &  ( ~ ( (v2_xxreal_2 @ A) )  &  (v6_xxreal_2 @ A) ) ) ) ) , file(xxreal_2, rc7_xxreal_2)).
thf(rc8_finseq_1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v3_finseq_1 @ A) ) ) , file(finseq_1, rc8_finseq_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(rc8_trees_2, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( ( (v5_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_finset_1 @ B)  &  (v3_trees_2 @ B) ) ) ) ) ) ) ) , file(trees_2, rc8_trees_2)).
thf(rc8_trees_3, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  (v6_trees_3 @ A) ) ) ) ) , file(trees_3, rc8_trees_3)).
thf(rc8_xxreal_2, axiom,  (? [A: $i] :  ( (v2_membered @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  ( ~ ( (v1_xxreal_2 @ A) )  &  ( ~ ( (v2_xxreal_2 @ A) )  &  (v6_xxreal_2 @ A) ) ) ) ) ) , file(xxreal_2, rc8_xxreal_2)).
thf(rc9_finseq_1, axiom,  (! [A: $i] :  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ k5_numbers)  &  ( ( (v5_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_finset_1 @ B)  &  ( (v1_finseq_1 @ B)  &  (v2_finseq_1 @ B) ) ) ) ) ) ) ) ) , file(finseq_1, rc9_finseq_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(rc9_trees_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_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( ( (v5_relat_1 @ C)  @ B)  &  ~ ( (v1_xboole_0 @ C) ) ) ) ) ) ) ) ) , file(trees_2, rc9_trees_2)).
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_k1_relset_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v4_relat_1 @ B)  @ A) )  =>  ( (= @  ( (k1_relset_1 @ A)  @ B) )  @  (k9_xtuple_0 @ B) ) ) ) , file(relset_1, k1_relset_1)).
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_k3_finseq_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) )  =>  ( (= @  (k3_finseq_1 @ A) )  @  (k1_card_1 @ A) ) ) ) , file(finseq_1, k3_finseq_1)).
thf(redefinition_k3_finseq_2, axiom,  (! [A: $i] :  ( (= @  (k3_finseq_2 @ A) )  @  (k13_finseq_1 @ A) ) ) , file(finseq_2, k3_finseq_2)).
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_k9_finseq_1, axiom,  (! [A: $i] :  ( (= @  (k9_finseq_1 @ A) )  @  (k5_finseq_1 @ A) ) ) , file(finseq_1, k9_finseq_1)).
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_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__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__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__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__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__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__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__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__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(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__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__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__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__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__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__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(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__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__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__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__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__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__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__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(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__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__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__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__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__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__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__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(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(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(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_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_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(t10_nat_1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (! [B: $i] :  ( (v7_ordinal1 @ B)  =>  ~ ( ( ( (r1_xxreal_0 @ A)  @ B)  &  (! [C: $i] :  ( (v7_ordinal1 @ C)  =>  ~ ( ( (= @ B)  @  ( (k2_xcmplx_0 @ A)  @ C) ) ) ) ) ) ) ) ) ) ) , file(nat_1, t10_nat_1)).
thf(t11_nat_1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (! [B: $i] :  ( (v7_ordinal1 @ B)  =>  ( (r1_xxreal_0 @ A)  @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) ) ) , file(nat_1, t11_nat_1)).
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(t25_finseq_3, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) )  =>  (! [B: $i] :  ( (v7_ordinal1 @ B)  =>  ( ( (r2_hidden @ B)  @  ( (k1_relset_1 @ k5_numbers)  @ A) )  <=>  ( ( (r1_xxreal_0 @ np__1)  @ B)  &  ( (r1_xxreal_0 @ B)  @  (k3_finseq_1 @ A) ) ) ) ) ) ) ) , file(finseq_3, t25_finseq_3)).
thf(t2_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k3_xcmplx_0 @ A)  @ k6_numbers) )  @ k6_numbers) ) ) , file(arithm, t2_arithm)).
thf(t2_dtconstr, axiom,  (! [A: $i] :  (! [B: $i] :  (! [C: $i] :  ( ( (m2_finseq_1 @ C)  @ A)  =>  ( ( (r2_hidden @ B)  @  (k4_finseq_1 @ C) )  =>  ( (r2_hidden @  ( (k1_funct_1 @ C)  @ B) )  @ A) ) ) ) ) ) , file(dtconstr, t2_dtconstr)).
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(t3_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k3_xcmplx_0 @ np__1)  @ A) )  @ A) ) ) , file(arithm, t3_arithm)).
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_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_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_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_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(t86_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] :  ( ~ ( (v1_xboole_0 @ D) )  =>  (! [E: $i] :  ( ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @ D) )  =>  (! [F: $i] :  ( ( (m1_subset_1 @ F)  @ D)  =>  (! [G: $i] :  ( ( ( ( (m1_aofa_000 @ G)  @ A)  @ D)  @ E)  =>  (! [H: $i] :  ( ( ~ ( (v1_xboole_0 @ H) )  &  ( (m2_finseq_1 @ H)  @ D) )  =>  ( ( ( (= @  ( (k1_funct_1 @ H)  @ np__1) )  @  ( ( ( ( ( (k2_binop_1 @ D)  @  (u1_struct_0 @ A) )  @ D)  @ G)  @ F)  @ B) )  &  (! [I: $i] :  ( (v7_ordinal1 @ I)  =>  ( ( (r1_xxreal_0 @ np__1)  @ I)  =>  ( ( (r1_xxreal_0 @  (k3_finseq_1 @ H) )  @ I)  |  ( ( (r2_hidden @  ( (k1_funct_1 @ H)  @ I) )  @ E)  &  ( (= @  ( (k1_funct_1 @ H)  @  ( (k1_nat_1 @ I)  @ np__1) ) )  @  ( ( (k1_binop_1 @ G)  @  ( (k1_funct_1 @ H)  @ I) )  @  ( ( (k13_aofa_000 @ A)  @ C)  @ B) ) ) ) ) ) ) ) )  =>  ( ( (r2_hidden @  ( (k1_funct_1 @ H)  @  (k3_finseq_1 @ H) ) )  @ E)  |  ( (= @  ( ( ( ( ( (k2_binop_1 @ D)  @  (u1_struct_0 @ A) )  @ D)  @ G)  @ F)  @  ( ( (k16_aofa_000 @ A)  @ B)  @ C) ) )  @  ( (k1_funct_1 @ H)  @  (k3_finseq_1 @ H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(aofa_000, t86_aofa_000)).
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(s2_nat_1, axiom,  (! [A: $i > $o] :  ( ( (A @ k6_numbers)  &  (! [B: $i] :  ( (v7_ordinal1 @ B)  =>  ( (A @ B)  =>  (A @  ( (k1_nat_1 @ B)  @ np__1) ) ) ) ) )  =>  (! [B: $i] :  ( (v7_ordinal1 @ B)  =>  (A @ B) ) ) ) ) , file(nat_1, s2_nat_1)).
thf(s5_aofa_000, conjecture,  ( ( (p1_s5_aofa_000 @ f5_s5_aofa_000)  &  ( ( ( ( ( ( (r4_aofa_000 @ f1_s5_aofa_000)  @  ( ( (k13_aofa_000 @ f1_s5_aofa_000)  @ f3_s5_aofa_000)  @ f2_s5_aofa_000) )  @ f4_s5_aofa_000)  @  ( ( ( ( ( (k2_binop_1 @ f4_s5_aofa_000)  @  (u1_struct_0 @ f1_s5_aofa_000) )  @ f4_s5_aofa_000)  @ f7_s5_aofa_000)  @ f5_s5_aofa_000)  @ f2_s5_aofa_000) )  @ f6_s5_aofa_000)  @ f7_s5_aofa_000)  &  ( (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ f4_s5_aofa_000)  =>  ( ( (p1_s5_aofa_000 @ A)  &  ( ( (r2_hidden @ A)  @ f6_s5_aofa_000)  &  (p2_s5_aofa_000 @ A) ) )  =>  (p1_s5_aofa_000 @  ( ( ( ( ( (k2_binop_1 @ f4_s5_aofa_000)  @  (u1_struct_0 @ f1_s5_aofa_000) )  @ f4_s5_aofa_000)  @ f7_s5_aofa_000)  @ A)  @ f3_s5_aofa_000) ) ) ) )  &  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ f4_s5_aofa_000)  =>  ( (p1_s5_aofa_000 @ A)  =>  ( (p1_s5_aofa_000 @  ( ( ( ( ( (k2_binop_1 @ f4_s5_aofa_000)  @  (u1_struct_0 @ f1_s5_aofa_000) )  @ f4_s5_aofa_000)  @ f7_s5_aofa_000)  @ A)  @ f2_s5_aofa_000) )  &  ( ( ( (r2_hidden @  ( ( ( ( ( (k2_binop_1 @ f4_s5_aofa_000)  @  (u1_struct_0 @ f1_s5_aofa_000) )  @ f4_s5_aofa_000)  @ f7_s5_aofa_000)  @ A)  @ f2_s5_aofa_000) )  @ f6_s5_aofa_000)  =>  (p2_s5_aofa_000 @  ( ( ( ( ( (k2_binop_1 @ f4_s5_aofa_000)  @  (u1_struct_0 @ f1_s5_aofa_000) )  @ f4_s5_aofa_000)  @ f7_s5_aofa_000)  @ A)  @ f2_s5_aofa_000) ) )  &  ( (p2_s5_aofa_000 @  ( ( ( ( ( (k2_binop_1 @ f4_s5_aofa_000)  @  (u1_struct_0 @ f1_s5_aofa_000) )  @ f4_s5_aofa_000)  @ f7_s5_aofa_000)  @ A)  @ f2_s5_aofa_000) )  =>  ( (r2_hidden @  ( ( ( ( ( (k2_binop_1 @ f4_s5_aofa_000)  @  (u1_struct_0 @ f1_s5_aofa_000) )  @ f4_s5_aofa_000)  @ f7_s5_aofa_000)  @ A)  @ f2_s5_aofa_000) )  @ f6_s5_aofa_000) ) ) ) ) ) ) ) ) )  =>  ( (p1_s5_aofa_000 @  ( ( ( ( ( (k2_binop_1 @ f4_s5_aofa_000)  @  (u1_struct_0 @ f1_s5_aofa_000) )  @ f4_s5_aofa_000)  @ f7_s5_aofa_000)  @ f5_s5_aofa_000)  @  ( ( (k16_aofa_000 @ f1_s5_aofa_000)  @ f2_s5_aofa_000)  @ f3_s5_aofa_000) ) )  &  ~ ( (p2_s5_aofa_000 @  ( ( ( ( ( (k2_binop_1 @ f4_s5_aofa_000)  @  (u1_struct_0 @ f1_s5_aofa_000) )  @ f4_s5_aofa_000)  @ f7_s5_aofa_000)  @ f5_s5_aofa_000)  @  ( ( (k16_aofa_000 @ f1_s5_aofa_000)  @ f2_s5_aofa_000)  @ f3_s5_aofa_000) ) ) ) ) ) , file(aofa_000, s5_aofa_000)).
