% Mizar problem: s2_glib_000,glib_000,742,17 
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(k16_glib_000_type, type, k16_glib_000: $i > $i).
thf(k17_glib_000_type, type, k17_glib_000: $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_numbers_type, type, k1_numbers: $i).
thf(k1_xboole_0_type, type, k1_xboole_0: $i).
thf(k1_zfmisc_1_type, type, k1_zfmisc_1: $i > $i).
thf(k2_glib_000_type, type, k2_glib_000: $i).
thf(k2_nat_1_type, type, k2_nat_1: $i > $i > $i).
thf(k2_xcmplx_0_type, type, k2_xcmplx_0: $i > $i > $i).
thf(k4_ordinal1_type, type, k4_ordinal1: $i).
thf(k4_xcmplx_0_type, type, k4_xcmplx_0: $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_glib_000_type, type, k7_glib_000: $i > $i).
thf(k7_xcmplx_0_type, type, k7_xcmplx_0: $i > $i > $i).
thf(m1_subset_1_type, type, m1_subset_1: $i > $i > $o).
thf(m2_subset_1_type, type, m2_subset_1: $i > $i > $i > $o).
thf(p1_s2_glib_000_type, type, p1_s2_glib_000: $i > $o).
thf(r1_tarski_type, type, r1_tarski: $i > $i > $o).
thf(v1_card_1_type, type, v1_card_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_funcop_1_type, type, v1_funcop_1: $i > $o).
thf(v1_funct_1_type, type, v1_funct_1: $i > $o).
thf(v1_glib_000_type, type, v1_glib_000: $i > $o).
thf(v1_ordinal1_type, type, v1_ordinal1: $i > $o).
thf(v1_relat_1_type, type, v1_relat_1: $i > $o).
thf(v1_subset_1_type, type, v1_subset_1: $i > $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_xxreal_0_type, type, v1_xxreal_0: $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_finseq_1_type, type, v2_finseq_1: $i > $o).
thf(v2_finset_1_type, type, v2_finset_1: $i > $o).
thf(v2_funcop_1_type, type, v2_funcop_1: $i > $o).
thf(v2_funct_1_type, type, v2_funct_1: $i > $o).
thf(v2_glib_000_type, type, v2_glib_000: $i > $o).
thf(v2_ordinal1_type, type, v2_ordinal1: $i > $o).
thf(v2_relat_1_type, type, v2_relat_1: $i > $o).
thf(v2_xxreal_0_type, type, v2_xxreal_0: $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_ordinal1_type, type, v3_ordinal1: $i > $o).
thf(v3_relat_1_type, type, v3_relat_1: $i > $o).
thf(v3_xxreal_0_type, type, v3_xxreal_0: $i > $o).
thf(v4_funct_1_type, type, v4_funct_1: $i > $o).
thf(v4_relat_1_type, type, v4_relat_1: $i > $i > $o).
thf(v5_finset_1_type, type, v5_finset_1: $i > $o).
thf(v5_ordinal1_type, type, v5_ordinal1: $i > $o).
thf(v6_ordinal1_type, type, v6_ordinal1: $i > $o).
thf(v7_ordinal1_type, type, v7_ordinal1: $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_ordinal1, axiom,  (! [A: $i] :  ( (v6_ordinal1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v6_ordinal1 @ B) ) ) ) ) , file(ordinal1, cc10_ordinal1)).
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(cc1_card_1, axiom,  (! [A: $i] :  ( (v1_card_1 @ A)  =>  (v3_ordinal1 @ A) ) ) , file(card_1, cc1_card_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_nat_1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  ( (v3_ordinal1 @ A)  &  (v7_ordinal1 @ A) ) ) ) , file(nat_1, cc1_nat_1)).
thf(cc1_ordinal1, axiom,  (! [A: $i] :  ( (v3_ordinal1 @ A)  =>  ( (v1_ordinal1 @ A)  &  (v2_ordinal1 @ A) ) ) ) , file(ordinal1, cc1_ordinal1)).
thf(cc1_relat_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v1_relat_1 @ A) ) ) , file(relat_1, cc1_relat_1)).
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_xreal_0, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ k1_numbers)  =>  (v1_xreal_0 @ A) ) ) , file(xreal_0, cc1_xreal_0)).
thf(cc2_card_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v1_card_1 @ A) ) ) , file(card_1, cc2_card_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_finset_1, axiom,  (! [A: $i] :  ( (v1_finset_1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v1_finset_1 @ B) ) ) ) ) , file(finset_1, cc2_finset_1)).
thf(cc2_funcop_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_funcop_1 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_funcop_1 @ A) ) ) ) ) , file(funcop_1, cc2_funcop_1)).
thf(cc2_funct_1, axiom,  (! [A: $i] :  ( ( (v1_xboole_0 @ A)  &  ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_funct_1 @ A) ) ) ) ) , file(funct_1, cc2_funct_1)).
thf(cc2_nat_1, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ k5_numbers)  =>  ~ ( (v3_xxreal_0 @ A) ) ) ) , file(nat_1, cc2_nat_1)).
thf(cc2_ordinal1, axiom,  (! [A: $i] :  ( ( (v1_ordinal1 @ A)  &  (v2_ordinal1 @ A) )  =>  (v3_ordinal1 @ A) ) ) , file(ordinal1, cc2_ordinal1)).
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_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_xreal_0, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (v1_xreal_0 @ A) ) ) , file(xreal_0, cc2_xreal_0)).
thf(cc3_card_1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (v1_card_1 @ A) ) ) , file(card_1, cc3_card_1)).
thf(cc3_funcop_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_xboole_0 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_funcop_1 @ A) ) ) ) ) , file(funcop_1, cc3_funcop_1)).
thf(cc3_funct_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v1_funct_1 @ B) ) ) ) ) , file(funct_1, cc3_funct_1)).
thf(cc3_nat_1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  ( (v7_ordinal1 @ A)  &  ~ ( (v3_xxreal_0 @ A) ) ) ) ) , file(nat_1, cc3_nat_1)).
thf(cc3_ordinal1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v3_ordinal1 @ A) ) ) , file(ordinal1, cc3_ordinal1)).
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_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_xreal_0, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (v1_xcmplx_0 @ A) ) ) , file(xreal_0, cc3_xreal_0)).
thf(cc4_card_1, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ k4_ordinal1)  =>  (v1_finset_1 @ A) ) ) , file(card_1, cc4_card_1)).
thf(cc4_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_ordinal1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v5_ordinal1 @ A) ) ) , file(ordinal1, cc4_ordinal1)).
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_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_xreal_0, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (v1_xxreal_0 @ A) ) ) , file(xreal_0, cc4_xreal_0)).
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_ordinal1, axiom,  (! [A: $i] :  ( (v3_ordinal1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v3_ordinal1 @ B) ) ) ) ) , file(ordinal1, cc5_ordinal1)).
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_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(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_ordinal1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (v3_ordinal1 @ A) ) ) , file(ordinal1, cc6_ordinal1)).
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_ordinal1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v7_ordinal1 @ A) ) ) , file(ordinal1, cc7_ordinal1)).
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(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_ordinal1, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ k4_ordinal1)  =>  (v7_ordinal1 @ A) ) ) , file(ordinal1, cc8_ordinal1)).
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_ordinal1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v6_ordinal1 @ A) ) ) , file(ordinal1, cc9_ordinal1)).
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_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(d25_glib_000, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  ( (v1_finset_1 @ A)  &  (v1_glib_000 @ A) ) ) ) )  =>  ( (= @  (k16_glib_000 @ A) )  @  (k1_card_1 @  (k7_glib_000 @ A) ) ) ) ) , file(glib_000, d25_glib_000)).
thf(d2_glib_000, axiom,  ( (= @ k2_glib_000)  @ np__2) , file(glib_000, d2_glib_000)).
thf(d7_glib_000, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  (v1_finset_1 @ A) ) ) )  =>  ( (= @  (k7_glib_000 @ A) )  @  ( (k1_funct_1 @ A)  @ k2_glib_000) ) ) ) , file(glib_000, d7_glib_000)).
thf(dt_k16_glib_000, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  ( (v1_finset_1 @ A)  &  (v1_glib_000 @ A) ) ) ) )  =>  (v1_card_1 @  (k16_glib_000 @ A) ) ) ) , file(glib_000, k16_glib_000)).
thf(dt_k17_glib_000, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  ( (v1_finset_1 @ A)  &  ( (v1_glib_000 @ A)  &  (v2_glib_000 @ A) ) ) ) ) )  =>  ( (m1_subset_1 @  (k17_glib_000 @ A) )  @ k5_numbers) ) ) , file(glib_000, k17_glib_000)).
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_numbers, axiom, $true, file(numbers, k1_numbers)).
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_glib_000, axiom,  ( (m1_subset_1 @ k2_glib_000)  @ k5_numbers) , file(glib_000, k2_glib_000)).
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_xcmplx_0, axiom, $true, file(xcmplx_0, k2_xcmplx_0)).
thf(dt_k4_ordinal1, axiom, $true, file(ordinal1, k4_ordinal1)).
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_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_glib_000, axiom, $true, file(glib_000, k7_glib_000)).
thf(dt_k7_xcmplx_0, axiom, $true, file(xcmplx_0, k7_xcmplx_0)).
thf(dt_m1_subset_1, axiom, $true, file(subset_1, m1_subset_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(existence_m1_subset_1, axiom,  (! [A: $i] :  (? [B: $i] :  ( (m1_subset_1 @ B)  @ A) ) ) , file(subset_1, m1_subset_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_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_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(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_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_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_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_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_finset_1, axiom,  (! [A: $i] :  ( (v1_finset_1 @ A)  =>  (v1_finset_1 @  (k1_zfmisc_1 @ A) ) ) ) , file(finset_1, fc17_finset_1)).
thf(fc17_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v3_xxreal_0 @  ( (k6_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc17_xreal_0)).
thf(fc18_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_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_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_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_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_subset_1, axiom,  (! [A: $i] :  ~ ( (v1_xboole_0 @  (k1_zfmisc_1 @ A) ) ) ) , file(subset_1, fc1_subset_1)).
thf(fc1_xboole_0, axiom,  (v1_xboole_0 @ k1_xboole_0) , file(xboole_0, fc1_xboole_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_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(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(fc31_finset_1, axiom,  (! [A: $i] :  ( (v1_finset_1 @ A)  =>  (v5_finset_1 @  (k1_zfmisc_1 @ A) ) ) ) , file(finset_1, fc31_finset_1)).
thf(fc31_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v2_xxreal_0 @  ( (k7_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc31_xreal_0)).
thf(fc32_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v2_xxreal_0 @  ( (k7_xcmplx_0 @ B)  @ A) ) ) ) ) , file(xreal_0, fc32_xreal_0)).
thf(fc33_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v3_xxreal_0 @  ( (k7_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc33_xreal_0)).
thf(fc34_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v3_xxreal_0 @  ( (k7_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc34_xreal_0)).
thf(fc35_finset_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_finset_1 @ A) ) )  =>  (v1_finset_1 @  ( (k1_funct_1 @ A)  @ B) ) ) ) , file(finset_1, fc35_finset_1)).
thf(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_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_glib_000, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  ( (v1_finset_1 @ A)  &  ( (v1_glib_000 @ A)  &  (v2_glib_000 @ A) ) ) ) ) )  =>  (v1_finset_1 @  (k7_glib_000 @ A) ) ) ) , file(glib_000, fc4_glib_000)).
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(fc5_card_1, axiom,  (v2_card_1 @ k4_ordinal1) , file(card_1, fc5_card_1)).
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(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_ordinal1, axiom,  ( ~ ( (v1_xboole_0 @ k4_ordinal1) )  &  (v3_ordinal1 @ k4_ordinal1) ) , file(ordinal1, fc6_ordinal1)).
thf(fc7_card_1, axiom,  ~ ( (v1_finset_1 @ k4_ordinal1) ) , file(card_1, fc7_card_1)).
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(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_funcop_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_funcop_1 @ A) ) )  =>  ( (v1_relat_1 @  ( (k1_funct_1 @ A)  @ B) )  &  (v1_funct_1 @  ( (k1_funct_1 @ A)  @ B) ) ) ) ) , file(funcop_1, fc8_funcop_1)).
thf(fc8_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xreal_0 @ A)  &  (v1_xreal_0 @ B) )  =>  (v1_xreal_0 @  ( (k7_xcmplx_0 @ A)  @ B) ) ) ) , file(xreal_0, fc8_xreal_0)).
thf(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_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(rc1_card_1, axiom,  (? [A: $i] :  (v1_card_1 @ A) ) , file(card_1, rc1_card_1)).
thf(rc1_finset_1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v1_finset_1 @ A) ) ) , file(finset_1, rc1_finset_1)).
thf(rc1_funcop_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_funcop_1 @ A) ) ) ) , file(funcop_1, rc1_funcop_1)).
thf(rc1_funct_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) ) ) , file(funct_1, rc1_funct_1)).
thf(rc1_glib_000, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  (v1_finset_1 @ A) ) ) ) ) , file(glib_000, rc1_glib_000)).
thf(rc1_nat_1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_ordinal1 @ A)  &  ( (v2_ordinal1 @ A)  &  ( (v3_ordinal1 @ A)  &  ( (v7_ordinal1 @ A)  &  ( (v1_xcmplx_0 @ A)  &  ( (v1_xxreal_0 @ A)  &  ( (v1_xreal_0 @ A)  &  ( (v1_finset_1 @ A)  &  (v1_card_1 @ A) ) ) ) ) ) ) ) ) ) ) , file(nat_1, rc1_nat_1)).
thf(rc1_ordinal1, axiom,  (? [A: $i] :  (v3_ordinal1 @ A) ) , file(ordinal1, rc1_ordinal1)).
thf(rc1_relat_1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v1_relat_1 @ A) ) ) , file(relat_1, rc1_relat_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_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(rc2_card_1, axiom,  (? [A: $i] :  ( (v1_ordinal1 @ A)  &  ( (v2_ordinal1 @ A)  &  ( (v3_ordinal1 @ A)  &  ( (v1_finset_1 @ A)  &  (v1_card_1 @ A) ) ) ) ) ) , file(card_1, rc2_card_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_funcop_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v3_funct_1 @ A)  &  ~ ( (v1_xboole_0 @ A) ) ) ) ) ) , file(funcop_1, rc2_funcop_1)).
thf(rc2_funct_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_funct_1 @ A) ) ) ) , file(funct_1, rc2_funct_1)).
thf(rc2_glib_000, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  ( (v1_finset_1 @ A)  &  (v1_glib_000 @ A) ) ) ) ) ) , file(glib_000, rc2_glib_000)).
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_ordinal1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_ordinal1 @ A)  &  ( (v2_ordinal1 @ A)  &  (v3_ordinal1 @ A) ) ) ) ) , file(ordinal1, rc2_ordinal1)).
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_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(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_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_nat_1, axiom,  (? [A: $i] :  ( ( (m1_subset_1 @ A)  @ k5_numbers)  &  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_ordinal1 @ A)  &  ( (v2_ordinal1 @ A)  &  ( (v3_ordinal1 @ A)  &  ( (v7_ordinal1 @ A)  &  ( (v1_xcmplx_0 @ A)  &  ( (v1_xxreal_0 @ A)  &  ( (v1_xreal_0 @ A)  &  ( (v1_finset_1 @ A)  &  (v1_card_1 @ A) ) ) ) ) ) ) ) ) ) ) ) , file(nat_1, rc3_nat_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_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(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_ordinal1, axiom,  (? [A: $i] :  (v7_ordinal1 @ A) ) , file(ordinal1, rc4_ordinal1)).
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_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(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_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_ordinal1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v7_ordinal1 @ A) ) ) , file(ordinal1, rc5_ordinal1)).
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(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_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(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(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(rc9_finset_1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_finset_1 @ A) ) ) ) ) , file(finset_1, rc9_finset_1)).
thf(rc9_funct_1, axiom,  (! [A: $i] :  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  (v1_funct_1 @ B) ) ) ) ) ) , file(funct_1, rc9_funct_1)).
thf(redefinition_k17_glib_000, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  ( (v1_finset_1 @ A)  &  ( (v1_glib_000 @ A)  &  (v2_glib_000 @ A) ) ) ) ) )  =>  ( (= @  (k17_glib_000 @ A) )  @  (k16_glib_000 @ A) ) ) ) , file(glib_000, k17_glib_000)).
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_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_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(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_rm1_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @  (k4_xcmplx_0 @ np__1) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rm1_rm1)).
thf(rqRealAdd__k2_xcmplx_0__r0_rm2_rm2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @  (k4_xcmplx_0 @ np__2) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rm2_rm2)).
thf(rqRealAdd__k2_xcmplx_0__r0_rm3_rm3, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @  (k4_xcmplx_0 @ np__3) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rm3_rm3)).
thf(rqRealAdd__k2_xcmplx_0__r0_rn1d2_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rn1d2_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__r0_rn2d3_rn2d3, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rn2d3_rn2d3)).
thf(rqRealAdd__k2_xcmplx_0__r0_rn3d2_rn3d2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rn3d2_rn3d2)).
thf(rqRealAdd__k2_xcmplx_0__r0_rnm1d2_rnm1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rnm1d2_rnm1d2)).
thf(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @ np__0) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_r0_r1)).
thf(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @ np__1) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_r1_r2)).
thf(rqRealAdd__k2_xcmplx_0__r1_r2_r3, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @ np__2) )  @ np__3) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_r2_r3)).
thf(rqRealAdd__k2_xcmplx_0__r1_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_rn1d2_rn3d2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rn1d2_rn3d2)).
thf(rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__r1_rnm1d3_rn2d3, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rnm1d3_rn2d3)).
thf(rqRealAdd__k2_xcmplx_0__r1_rnm2d3_rn1d3, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rnm2d3_rn1d3)).
thf(rqRealAdd__k2_xcmplx_0__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_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_rnm1d2_rn3d2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_rnm1d2_rn3d2)).
thf(rqRealAdd__k2_xcmplx_0__r2_rnm3d2_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_rnm3d2_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__r3_r0_r3, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__3)  @ np__0) )  @ np__3) , file(arithm, rqRealAdd__k2_xcmplx_0__r3_r0_r3)).
thf(rqRealAdd__k2_xcmplx_0__r3_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__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_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_rn1d2_rnm1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_rn1d2_rnm1d2)).
thf(rqRealAdd__k2_xcmplx_0__rm1_rn2d3_rnm1d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_rn2d3_rnm1d3)).
thf(rqRealAdd__k2_xcmplx_0__rm1_rn3d2_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_rn3d2_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__rm1_rnm1d2_rnm3d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_rnm1d2_rnm3d2)).
thf(rqRealAdd__k2_xcmplx_0__rm2_r1_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__1) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_r1_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rm2_r2_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__2) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_r2_r0)).
thf(rqRealAdd__k2_xcmplx_0__rm2_r3_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_r3_r1)).
thf(rqRealAdd__k2_xcmplx_0__rm2_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_rn3d2_rnm1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_rn3d2_rnm1d2)).
thf(rqRealAdd__k2_xcmplx_0__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_rn3d2_rnm3d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm3_rn3d2_rnm3d2)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_r0_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__0) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_r0_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_r1_rn3d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_r1_rn3d2)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_rm1_rnm1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rm1_rnm1d2)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_rm2_rnm3d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rm2_rnm3d2)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_rn1d2_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rn1d2_r1)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_rn3d2_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rn3d2_r2)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d2_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d2_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rn1d3_rn1d3_rn2d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d3_rn1d3_rn2d3)).
thf(rqRealAdd__k2_xcmplx_0__rn1d3_rn2d3_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d3_rn2d3_r1)).
thf(rqRealAdd__k2_xcmplx_0__rn1d3_rnm1d3_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d3_rnm1d3_r0)).
thf(rqRealAdd__k2_xcmplx_0__rn1d3_rnm2d3_rnm1d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d3_rnm2d3_rnm1d3)).
thf(rqRealAdd__k2_xcmplx_0__rn2d3_r0_rn2d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @ np__0) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn2d3_r0_rn2d3)).
thf(rqRealAdd__k2_xcmplx_0__rn2d3_rn1d3_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rn2d3_rn1d3_r1)).
thf(rqRealAdd__k2_xcmplx_0__rn2d3_rnm1d3_rn1d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn2d3_rnm1d3_rn1d3)).
thf(rqRealAdd__k2_xcmplx_0__rn2d3_rnm2d3_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rn2d3_rnm2d3_r0)).
thf(rqRealAdd__k2_xcmplx_0__rn3d2_r0_rn3d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @ np__0) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d2_r0_rn3d2)).
thf(rqRealAdd__k2_xcmplx_0__rn3d2_rm1_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d2_rm1_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__rn3d2_rm2_rnm1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d2_rm2_rnm1d2)).
thf(rqRealAdd__k2_xcmplx_0__rn3d2_rn1d2_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d2_rn1d2_r2)).
thf(rqRealAdd__k2_xcmplx_0__rn3d2_rn3d2_r3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @ np__3) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d2_rn3d2_r3)).
thf(rqRealAdd__k2_xcmplx_0__rn3d2_rnm1d2_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d2_rnm1d2_r1)).
thf(rqRealAdd__k2_xcmplx_0__rn3d2_rnm3d2_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d2_rnm3d2_r0)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d2_r1_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_r1_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d2_r2_rn3d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_r2_rn3d2)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d2_rm1_rnm3d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_rm1_rnm3d2)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d2_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d2_r0)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d2_rn3d2_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_rn3d2_r1)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d2_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d2_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d2_rnm3d2_rm2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_rnm3d2_rm2)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d3_r1_rn2d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d3_r1_rn2d3)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d3_rn1d3_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d3_rn1d3_r0)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d3_rn2d3_rn1d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d3_rn2d3_rn1d3)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d3_rnm1d3_rnm2d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d3_rnm1d3_rnm2d3)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d3_rnm2d3_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d3_rnm2d3_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rnm2d3_r1_rn1d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm2d3_r1_rn1d3)).
thf(rqRealAdd__k2_xcmplx_0__rnm2d3_rn2d3_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm2d3_rn2d3_r0)).
thf(rqRealAdd__k2_xcmplx_0__rnm2d3_rnm1d3_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm2d3_rnm1d3_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rnm3d2_r1_rnm1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d2_r1_rnm1d2)).
thf(rqRealAdd__k2_xcmplx_0__rnm3d2_r2_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d2_r2_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__rnm3d2_rn1d2_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d2_rn1d2_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rnm3d2_rn3d2_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d2_rn3d2_r0)).
thf(rqRealAdd__k2_xcmplx_0__rnm3d2_rnm3d2_rm3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d2_rnm3d2_rm3)).
thf(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_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_rn1d2_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__r0_rn1d3_rnm1d3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rn1d3_rnm1d3)).
thf(rqRealDiff__k6_xcmplx_0__r0_rn2d3_rnm2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rn2d3_rnm2d3)).
thf(rqRealDiff__k6_xcmplx_0__r0_rn3d2_rnm3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rn3d2_rnm3d2)).
thf(rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__r0_rnm3d2_rn3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rnm3d2_rn3d2)).
thf(rqRealDiff__k6_xcmplx_0__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_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_rn1d2_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__r1_rn1d3_rn2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rn1d3_rn2d3)).
thf(rqRealDiff__k6_xcmplx_0__r1_rn2d3_rn1d3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rn2d3_rn1d3)).
thf(rqRealDiff__k6_xcmplx_0__r1_rn3d2_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rn3d2_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__r1_rnm1d2_rn3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rnm1d2_rn3d2)).
thf(rqRealDiff__k6_xcmplx_0__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_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_rn1d2_rn3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_rn1d2_rn3d2)).
thf(rqRealDiff__k6_xcmplx_0__r2_rn3d2_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_rn3d2_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__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_rn3d2_rn3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__3)  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r3_rn3d2_rn3d2)).
thf(rqRealDiff__k6_xcmplx_0__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_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_rn1d2_rnm3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rn1d2_rnm3d2)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rnm1d3_rnm2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rnm1d3_rnm2d3)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rnm2d3_rnm1d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rnm2d3_rnm1d3)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rnm3d2_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rnm3d2_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__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_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_rnm1d2_rnm3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_rnm1d2_rnm3d2)).
thf(rqRealDiff__k6_xcmplx_0__rm2_rnm3d2_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_rnm3d2_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__rm3_r0_rm3, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__0) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm3_r0_rm3)).
thf(rqRealDiff__k6_xcmplx_0__rm3_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_rnm3d2_rnm3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm3_rnm3d2_rnm3d2)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__0) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_r2_rnm3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_r2_rnm3d2)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_rm1_rn3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rm1_rn3d2)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_rn3d2_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rn3d2_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_rnm3d2_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @ np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rnm3d2_r2)).
thf(rqRealDiff__k6_xcmplx_0__rn1d3_r0_rn1d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @ np__0) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d3_r0_rn1d3)).
thf(rqRealDiff__k6_xcmplx_0__rn1d3_r1_rnm2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d3_r1_rnm2d3)).
thf(rqRealDiff__k6_xcmplx_0__rn1d3_rn1d3_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d3_rn1d3_r0)).
thf(rqRealDiff__k6_xcmplx_0__rn1d3_rn2d3_rnm1d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d3_rn2d3_rnm1d3)).
thf(rqRealDiff__k6_xcmplx_0__rn1d3_rnm1d3_rn2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d3_rnm1d3_rn2d3)).
thf(rqRealDiff__k6_xcmplx_0__rn1d3_rnm2d3_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d3_rnm2d3_r1)).
thf(rqRealDiff__k6_xcmplx_0__rn2d3_r0_rn2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @ np__0) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn2d3_r0_rn2d3)).
thf(rqRealDiff__k6_xcmplx_0__rn2d3_r1_rnm1d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn2d3_r1_rnm1d3)).
thf(rqRealDiff__k6_xcmplx_0__rn2d3_rn1d3_rn1d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn2d3_rn1d3_rn1d3)).
thf(rqRealDiff__k6_xcmplx_0__rn2d3_rn2d3_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rn2d3_rn2d3_r0)).
thf(rqRealDiff__k6_xcmplx_0__rn2d3_rnm1d3_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rn2d3_rnm1d3_r1)).
thf(rqRealDiff__k6_xcmplx_0__rn3d2_r0_rn3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @ np__0) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d2_r0_rn3d2)).
thf(rqRealDiff__k6_xcmplx_0__rn3d2_r1_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d2_r1_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__rn3d2_r2_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d2_r2_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__rn3d2_r3_rnm3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d2_r3_rnm3d2)).
thf(rqRealDiff__k6_xcmplx_0__rn3d2_rn1d2_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d2_rn1d2_r1)).
thf(rqRealDiff__k6_xcmplx_0__rn3d2_rn3d2_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d2_rn3d2_r0)).
thf(rqRealDiff__k6_xcmplx_0__rn3d2_rnm1d2_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @ np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d2_rnm1d2_r2)).
thf(rqRealDiff__k6_xcmplx_0__rn3d2_rnm3d2_r3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @ np__3) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d2_rnm3d2_r3)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__0) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_r1_rnm3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_r1_rnm3d2)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_rm2_rn3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rm2_rn3d2)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_rn3d2_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rn3d2_rm2)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d2_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d2_r1)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d3_r0_rnm1d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @ np__0) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d3_r0_rnm1d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d3_rm1_rn2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d3_rm1_rn2d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d3_rn1d3_rnm2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d3_rn1d3_rnm2d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d3_rn2d3_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d3_rn2d3_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm1d3_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d3_rnm1d3_r0)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm2d3_rn1d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d3_rnm2d3_rn1d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm2d3_rm1_rn1d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm2d3_rm1_rn1d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm2d3_rn1d3_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm2d3_rn1d3_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm1d3_rnm1d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm2d3_rnm1d3_rnm1d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm2d3_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm2d3_rnm2d3_r0)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d2_r0_rnm3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @ np__0) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d2_r0_rnm3d2)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d2_rm1_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d2_rm1_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d2_rm2_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d2_rm2_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d2_rm3_rn3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  (k4_xcmplx_0 @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d2_rm3_rn3d2)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d2_rn1d2_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d2_rn1d2_rm2)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d2_rn3d2_rm3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d2_rn3d2_rm3)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm1d2_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d2_rnm1d2_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm3d2_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d2_rnm3d2_r0)).
thf(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @ np__1) )  @ np__1) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_r1_r1)).
thf(rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2)).
thf(rqRealDiv__k7_xcmplx_0__r1_r3_rn1d3, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_r3_rn1d3)).
thf(rqRealDiv__k7_xcmplx_0__r1_rm1_rm1, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__1) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rm1_rm1)).
thf(rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2)).
thf(rqRealDiv__k7_xcmplx_0__r1_rm3_rnm1d3, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rm3_rnm1d3)).
thf(rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @ np__2) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2)).
thf(rqRealDiv__k7_xcmplx_0__r1_rn1d3_r3, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @ np__3) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rn1d3_r3)).
thf(rqRealDiv__k7_xcmplx_0__r1_rn2d3_rn3d2, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rn2d3_rn3d2)).
thf(rqRealDiv__k7_xcmplx_0__r1_rn3d2_rn2d3, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rn3d2_rn2d3)).
thf(rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2)).
thf(rqRealDiv__k7_xcmplx_0__r1_rnm1d3_rm3, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rnm1d3_rm3)).
thf(rqRealDiv__k7_xcmplx_0__r1_rnm3d2_rnm2d3, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rnm3d2_rnm2d3)).
thf(rqRealDiv__k7_xcmplx_0__r2_r1_r2, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__2)  @ np__1) )  @ np__2) , file(arithm, rqRealDiv__k7_xcmplx_0__r2_r1_r2)).
thf(rqRealDiv__k7_xcmplx_0__r2_r2_r1, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__2)  @ np__2) )  @ np__1) , file(arithm, rqRealDiv__k7_xcmplx_0__r2_r2_r1)).
thf(rqRealDiv__k7_xcmplx_0__r2_r3_rn2d3, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r2_r3_rn2d3)).
thf(rqRealDiv__k7_xcmplx_0__r3_r2_rn3d2, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r3_r2_rn3d2)).
thf(rqRealDiv__k7_xcmplx_0__r3_r3_r1, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__3)  @ np__3) )  @ np__1) , file(arithm, rqRealDiv__k7_xcmplx_0__r3_r3_r1)).
thf(rqRealDiv__k7_xcmplx_0__rm1_r1_rm1, axiom,  ( (= @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__1) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiv__k7_xcmplx_0__rm1_r1_rm1)).
thf(rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2, axiom,  ( (= @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2)).
thf(rqRealDiv__k7_xcmplx_0__rm2_r2_rm1, axiom,  ( (= @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiv__k7_xcmplx_0__rm2_r2_rm1)).
thf(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__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__rn1d2_rnm1d2, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2)).
thf(rqRealNeg__k4_xcmplx_0__rn1d3_rnm1d3, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rn1d3_rnm1d3)).
thf(rqRealNeg__k4_xcmplx_0__rn2d3_rnm2d3, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rn2d3_rnm2d3)).
thf(rqRealNeg__k4_xcmplx_0__rn3d2_rnm3d2, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rn3d2_rnm3d2)).
thf(rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2)).
thf(rqRealNeg__k4_xcmplx_0__rnm1d3_rn1d3, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rnm1d3_rn1d3)).
thf(rqRealNeg__k4_xcmplx_0__rnm2d3_rn2d3, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rnm2d3_rn2d3)).
thf(rqRealNeg__k4_xcmplx_0__rnm3d2_rn3d2, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rnm3d2_rn3d2)).
thf(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_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(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(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(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_subset, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (r2_hidden @ A)  @ B)  =>  ( (m1_subset_1 @ A)  @ B) ) ) ) , file(subset, t1_subset)).
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_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_subset, axiom,  (! [A: $i] :  (! [B: $i] :  (! [C: $i] :  ( ( ( (r2_hidden @ A)  @ B)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ C) ) )  =>  ( (m1_subset_1 @ A)  @ C) ) ) ) ) , file(subset, t4_subset)).
thf(t5_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k7_xcmplx_0 @ k6_numbers)  @ A) )  @ k6_numbers) ) ) , file(arithm, t5_arithm)).
thf(t5_subset, axiom,  (! [A: $i] :  (! [B: $i] :  (! [C: $i] :  ~ ( ( ( (r2_hidden @ A)  @ B)  &  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ C) )  &  (v1_xboole_0 @ C) ) ) ) ) ) ) , file(subset, t5_subset)).
thf(t6_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k7_xcmplx_0 @ A)  @ np__1) )  @ A) ) ) , file(arithm, t6_arithm)).
thf(t6_boole, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  ( (= @ A)  @ k1_xboole_0) ) ) , file(boole, t6_boole)).
thf(t7_boole, axiom,  (! [A: $i] :  (! [B: $i] :  ~ ( ( ( (r2_hidden @ A)  @ B)  &  (v1_xboole_0 @ B) ) ) ) ) , file(boole, t7_boole)).
thf(t8_boole, axiom,  (! [A: $i] :  (! [B: $i] :  ~ ( ( (v1_xboole_0 @ A)  &  ( ~ ( ( (= @ A)  @ B) )  &  (v1_xboole_0 @ B) ) ) ) ) ) , file(boole, t8_boole)).
thf(s1_nat_1, axiom,  (! [A: $i > $o] :  ( ( (A @ k6_numbers)  &  (! [B: $i] :  ( ( ( (m2_subset_1 @ B)  @ k1_numbers)  @ k5_numbers)  =>  ( (A @ B)  =>  (A @  ( (k2_nat_1 @ B)  @ np__1) ) ) ) ) )  =>  (! [B: $i] :  ( ( ( (m2_subset_1 @ B)  @ k1_numbers)  @ k5_numbers)  =>  (A @ B) ) ) ) ) , file(nat_1, s1_nat_1)).
thf(s2_glib_000, conjecture,  ( ( (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  ( (v1_finset_1 @ A)  &  ( (v1_glib_000 @ A)  &  (v2_glib_000 @ A) ) ) ) ) )  =>  ( ( (= @  (k17_glib_000 @ A) )  @ k6_numbers)  =>  (p1_s2_glib_000 @ A) ) ) )  &  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ k5_numbers)  =>  ( (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ k5_numbers)  &  ( (v1_funct_1 @ B)  &  ( (v1_finset_1 @ B)  &  ( (v1_glib_000 @ B)  &  (v2_glib_000 @ B) ) ) ) ) )  =>  ( ( (= @  (k17_glib_000 @ B) )  @ A)  =>  (p1_s2_glib_000 @ B) ) ) )  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ k5_numbers)  &  ( (v1_funct_1 @ B)  &  ( (v1_finset_1 @ B)  &  ( (v1_glib_000 @ B)  &  (v2_glib_000 @ B) ) ) ) ) )  =>  ( ( (= @  (k17_glib_000 @ B) )  @  ( (k2_nat_1 @ A)  @ np__1) )  =>  (p1_s2_glib_000 @ B) ) ) ) ) ) ) )  =>  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  ( (v1_finset_1 @ A)  &  ( (v1_glib_000 @ A)  &  (v2_glib_000 @ A) ) ) ) ) )  =>  (p1_s2_glib_000 @ A) ) ) ) , file(glib_000, s2_glib_000)).
