% Mizar problem: s8_recdef_2,recdef_2,623,14 
include('Axioms/SET010^0.ax').
thf(n0_type, type, np__0: $i).
thf(n1_type, type, np__1: $i).
thf(n2_type, type, np__2: $i).
thf(n3_type, type, np__3: $i).
thf(n4_type, type, np__4: $i).
thf(n5_type, type, np__5: $i).
thf(f1_s8_recdef_2_type, type, f1_s8_recdef_2: $i).
thf(f2_s8_recdef_2_type, type, f2_s8_recdef_2: $i).
thf(f3_s8_recdef_2_type, type, f3_s8_recdef_2: $i).
thf(f4_s8_recdef_2_type, type, f4_s8_recdef_2: $i > $i > $i > $i > $i).
thf(k1_funct_1_type, type, k1_funct_1: $i > $i > $i).
thf(k1_funct_7_type, type, k1_funct_7: $i > $i > $i).
thf(k1_nat_1_type, type, k1_nat_1: $i > $i > $i).
thf(k1_numbers_type, type, k1_numbers: $i).
thf(k1_tarski_type, type, k1_tarski: $i > $i).
thf(k1_xboole_0_type, type, k1_xboole_0: $i).
thf(k1_xreal_0_type, type, k1_xreal_0: $i > $i > $i).
thf(k1_xtuple_0_type, type, k1_xtuple_0: $i > $i).
thf(k1_zfmisc_1_type, type, k1_zfmisc_1: $i > $i).
thf(k2_nat_1_type, type, k2_nat_1: $i > $i > $i).
thf(k2_tarski_type, type, k2_tarski: $i > $i > $i).
thf(k2_xcmplx_0_type, type, k2_xcmplx_0: $i > $i > $i).
thf(k2_xtuple_0_type, type, k2_xtuple_0: $i > $i).
thf(k3_xcmplx_0_type, type, k3_xcmplx_0: $i > $i > $i).
thf(k3_xtuple_0_type, type, k3_xtuple_0: $i > $i > $i > $i).
thf(k4_ordinal1_type, type, k4_ordinal1: $i).
thf(k4_tarski_type, type, k4_tarski: $i > $i > $i).
thf(k4_xcmplx_0_type, type, k4_xcmplx_0: $i > $i).
thf(k5_numbers_type, type, k5_numbers: $i).
thf(k5_xtuple_0_type, type, k5_xtuple_0: $i > $i).
thf(k6_numbers_type, type, k6_numbers: $i).
thf(k6_xcmplx_0_type, type, k6_xcmplx_0: $i > $i > $i).
thf(k6_xtuple_0_type, type, k6_xtuple_0: $i > $i > $i > $i > $i).
thf(k7_nat_d_type, type, k7_nat_d: $i > $i > $i).
thf(k7_xcmplx_0_type, type, k7_xcmplx_0: $i > $i > $i).
thf(k7_xtuple_0_type, type, k7_xtuple_0: $i > $i).
thf(k8_xtuple_0_type, type, k8_xtuple_0: $i > $i).
thf(k9_xtuple_0_type, type, k9_xtuple_0: $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(r1_tarski_type, type, r1_tarski: $i > $i > $o).
thf(r1_xxreal_0_type, type, r1_xxreal_0: $i > $i > $o).
thf(v1_funct_1_type, type, v1_funct_1: $i > $o).
thf(v1_int_1_type, type, v1_int_1: $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_xtuple_0_type, type, v1_xtuple_0: $i > $o).
thf(v1_xxreal_0_type, type, v1_xxreal_0: $i > $o).
thf(v2_ordinal1_type, type, v2_ordinal1: $i > $o).
thf(v2_xtuple_0_type, type, v2_xtuple_0: $i > $o).
thf(v2_xxreal_0_type, type, v2_xxreal_0: $i > $o).
thf(v3_ordinal1_type, type, v3_ordinal1: $i > $o).
thf(v3_xtuple_0_type, type, v3_xtuple_0: $i > $o).
thf(v3_xxreal_0_type, type, v3_xxreal_0: $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_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(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_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(cc1_xtuple_0, axiom,  (! [A: $i] :  ( (v2_xtuple_0 @ A)  =>  (v1_xtuple_0 @ A) ) ) , file(xtuple_0, cc1_xtuple_0)).
thf(cc2_int_1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (v1_int_1 @ A) ) ) , file(int_1, cc2_int_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_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(cc2_xtuple_0, axiom,  (! [A: $i] :  ( (v3_xtuple_0 @ A)  =>  (v2_xtuple_0 @ A) ) ) , file(xtuple_0, cc2_xtuple_0)).
thf(cc3_int_1, axiom,  (! [A: $i] :  ( (v1_int_1 @ A)  =>  (v1_xreal_0 @ A) ) ) , file(int_1, cc3_int_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_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_ordinal1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v5_ordinal1 @ A) ) ) , file(ordinal1, cc4_ordinal1)).
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_ordinal1, axiom,  (! [A: $i] :  ( (v3_ordinal1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v3_ordinal1 @ B) ) ) ) ) , file(ordinal1, cc5_ordinal1)).
thf(cc6_ordinal1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (v3_ordinal1 @ A) ) ) , file(ordinal1, cc6_ordinal1)).
thf(cc7_ordinal1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v7_ordinal1 @ A) ) ) , file(ordinal1, cc7_ordinal1)).
thf(cc8_ordinal1, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ k4_ordinal1)  =>  (v7_ordinal1 @ A) ) ) , file(ordinal1, cc8_ordinal1)).
thf(cc9_ordinal1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v6_ordinal1 @ A) ) ) , file(ordinal1, cc9_ordinal1)).
thf(commutativity_k1_nat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v7_ordinal1 @ A)  &  ( (m1_subset_1 @ B)  @ k5_numbers) )  =>  ( (= @  ( (k1_nat_1 @ A)  @ B) )  @  ( (k1_nat_1 @ B)  @ A) ) ) ) , file(nat_1, k1_nat_1)).
thf(commutativity_k2_nat_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (m1_subset_1 @ A)  @ k5_numbers)  &  (v7_ordinal1 @ B) )  =>  ( (= @  ( (k2_nat_1 @ A)  @ B) )  @  ( (k2_nat_1 @ B)  @ A) ) ) ) , file(nat_1, k2_nat_1)).
thf(commutativity_k2_tarski, axiom,  (! [A: $i, B: $i] :  ( (= @  ( (k2_tarski @ A)  @ B) )  @  ( (k2_tarski @ B)  @ A) ) ) , file(tarski, k2_tarski)).
thf(commutativity_k2_xcmplx_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  ( (= @  ( (k2_xcmplx_0 @ A)  @ B) )  @  ( (k2_xcmplx_0 @ B)  @ A) ) ) ) , file(xcmplx_0, k2_xcmplx_0)).
thf(commutativity_k3_xcmplx_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  ( (= @  ( (k3_xcmplx_0 @ A)  @ B) )  @  ( (k3_xcmplx_0 @ B)  @ A) ) ) ) , file(xcmplx_0, k3_xcmplx_0)).
thf(connectedness_r1_xxreal_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xxreal_0 @ A)  &  (v1_xxreal_0 @ B) )  =>  ( ( (r1_xxreal_0 @ A)  @ B)  |  ( (r1_xxreal_0 @ B)  @ A) ) ) ) , file(xxreal_0, r1_xxreal_0)).
thf(d10_xtuple_0, axiom,  (! [A: $i] :  ( (= @  (k7_xtuple_0 @ A) )  @  (k1_xtuple_0 @  (k1_xtuple_0 @  (k1_xtuple_0 @ A) ) ) ) ) , file(xtuple_0, d10_xtuple_0)).
thf(d11_xtuple_0, axiom,  (! [A: $i] :  ( (= @  (k8_xtuple_0 @ A) )  @  (k2_xtuple_0 @  (k1_xtuple_0 @  (k1_xtuple_0 @ A) ) ) ) ) , file(xtuple_0, d11_xtuple_0)).
thf(d1_funct_7, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (r2_hidden @ A)  @ B)  =>  ( (= @  ( (k1_funct_7 @ A)  @ B) )  @ A) ) ) ) , file(funct_7, d1_funct_7)).
thf(d2_xboole_0, axiom,  ( (= @ k1_xboole_0)  @  (eps @  (^ [A: $i] :  (v1_xboole_0 @ A) ) ) ) , file(xboole_0, d2_xboole_0)).
thf(d2_xreal_0, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ( ( ( (r1_xxreal_0 @ k6_numbers)  @  ( (k6_xcmplx_0 @ A)  @ B) )  =>  ( (= @  ( (k1_xreal_0 @ A)  @ B) )  @  ( (k6_xcmplx_0 @ A)  @ B) ) )  &  ( ~ ( ( (r1_xxreal_0 @ k6_numbers)  @  ( (k6_xcmplx_0 @ A)  @ B) ) )  =>  ( (= @  ( (k1_xreal_0 @ A)  @ B) )  @ k6_numbers) ) ) ) ) ) ) , file(xreal_0, d2_xreal_0)).
thf(d4_recdef_2, axiom,  (! [A: $i] :  ( (v3_xtuple_0 @ A)  =>  (! [B: $i] :  ( ( (= @ B)  @  (k7_xtuple_0 @ A) )  <=>  (! [C: $i] :  (! [D: $i] :  (! [E: $i] :  (! [F: $i] :  ( ( (= @ A)  @  ( ( ( (k6_xtuple_0 @ C)  @ D)  @ E)  @ F) )  =>  ( (= @ B)  @ C) ) ) ) ) ) ) ) ) ) , file(recdef_2, d4_recdef_2)).
thf(d4_xtuple_0, axiom,  (! [A: $i] :  (! [B: $i] :  (! [C: $i] :  ( (= @  ( ( (k3_xtuple_0 @ A)  @ B)  @ C) )  @  ( (k4_tarski @  ( (k4_tarski @ A)  @ B) )  @ C) ) ) ) ) , file(xtuple_0, d4_xtuple_0)).
thf(d5_recdef_2, axiom,  (! [A: $i] :  ( (v3_xtuple_0 @ A)  =>  (! [B: $i] :  ( ( (= @ B)  @  (k8_xtuple_0 @ A) )  <=>  (! [C: $i] :  (! [D: $i] :  (! [E: $i] :  (! [F: $i] :  ( ( (= @ A)  @  ( ( ( (k6_xtuple_0 @ C)  @ D)  @ E)  @ F) )  =>  ( (= @ B)  @ D) ) ) ) ) ) ) ) ) ) , file(recdef_2, d5_recdef_2)).
thf(d5_tarski, axiom,  (! [A: $i] :  (! [B: $i] :  ( (= @  ( (k4_tarski @ A)  @ B) )  @  ( (k2_tarski @  ( (k2_tarski @ A)  @ B) )  @  (k1_tarski @ A) ) ) ) ) , file(tarski, d5_tarski)).
thf(d6_recdef_2, axiom,  (! [A: $i] :  ( (v3_xtuple_0 @ A)  =>  (! [B: $i] :  ( ( (= @ B)  @  (k5_xtuple_0 @ A) )  <=>  (! [C: $i] :  (! [D: $i] :  (! [E: $i] :  (! [F: $i] :  ( ( (= @ A)  @  ( ( ( (k6_xtuple_0 @ C)  @ D)  @ E)  @ F) )  =>  ( (= @ B)  @ E) ) ) ) ) ) ) ) ) ) , file(recdef_2, d6_recdef_2)).
thf(d7_recdef_2, axiom,  (! [A: $i] :  ( (v3_xtuple_0 @ A)  =>  (! [B: $i] :  ( ( (= @ B)  @  (k2_xtuple_0 @ A) )  <=>  (! [C: $i] :  (! [D: $i] :  (! [E: $i] :  (! [F: $i] :  ( ( (= @ A)  @  ( ( ( (k6_xtuple_0 @ C)  @ D)  @ E)  @ F) )  =>  ( (= @ B)  @ F) ) ) ) ) ) ) ) ) ) , file(recdef_2, d7_recdef_2)).
thf(d7_xtuple_0, axiom,  (! [A: $i] :  ( (= @  (k5_xtuple_0 @ A) )  @  (k2_xtuple_0 @  (k1_xtuple_0 @ A) ) ) ) , file(xtuple_0, d7_xtuple_0)).
thf(d8_xtuple_0, axiom,  (! [A: $i] :  (! [B: $i] :  (! [C: $i] :  (! [D: $i] :  ( (= @  ( ( ( (k6_xtuple_0 @ A)  @ B)  @ C)  @ D) )  @  ( (k4_tarski @  ( ( (k3_xtuple_0 @ A)  @ B)  @ C) )  @ D) ) ) ) ) ) , file(xtuple_0, d8_xtuple_0)).
thf(dt_f1_s8_recdef_2, axiom, $true, file(recdef_2, f1_s8_recdef_2)).
thf(dt_f2_s8_recdef_2, axiom, $true, file(recdef_2, f2_s8_recdef_2)).
thf(dt_f3_s8_recdef_2, axiom, $true, file(recdef_2, f3_s8_recdef_2)).
thf(dt_f4_s8_recdef_2, axiom, $true, file(recdef_2, f4_s8_recdef_2)).
thf(dt_k1_funct_1, axiom, $true, file(funct_1, k1_funct_1)).
thf(dt_k1_funct_7, axiom,  (! [A: $i, B: $i] :  ( (m1_subset_1 @  ( (k1_funct_7 @ A)  @ B) )  @ B) ) , file(funct_7, k1_funct_7)).
thf(dt_k1_nat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v7_ordinal1 @ A)  &  ( (m1_subset_1 @ B)  @ k5_numbers) )  =>  ( ( (m2_subset_1 @  ( (k1_nat_1 @ A)  @ B) )  @ k1_numbers)  @ k5_numbers) ) ) , file(nat_1, k1_nat_1)).
thf(dt_k1_numbers, axiom, $true, file(numbers, k1_numbers)).
thf(dt_k1_tarski, axiom, $true, file(tarski, k1_tarski)).
thf(dt_k1_xboole_0, axiom, $true, file(xboole_0, k1_xboole_0)).
thf(dt_k1_xreal_0, axiom, $true, file(xreal_0, k1_xreal_0)).
thf(dt_k1_xtuple_0, axiom, $true, file(xtuple_0, k1_xtuple_0)).
thf(dt_k1_zfmisc_1, axiom, $true, file(zfmisc_1, k1_zfmisc_1)).
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_tarski, axiom, $true, file(tarski, k2_tarski)).
thf(dt_k2_xcmplx_0, axiom, $true, file(xcmplx_0, k2_xcmplx_0)).
thf(dt_k2_xtuple_0, axiom, $true, file(xtuple_0, k2_xtuple_0)).
thf(dt_k3_xcmplx_0, axiom, $true, file(xcmplx_0, k3_xcmplx_0)).
thf(dt_k3_xtuple_0, axiom, $true, file(xtuple_0, k3_xtuple_0)).
thf(dt_k4_ordinal1, axiom, $true, file(ordinal1, k4_ordinal1)).
thf(dt_k4_tarski, axiom, $true, file(tarski, k4_tarski)).
thf(dt_k4_xcmplx_0, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  (v1_xcmplx_0 @  (k4_xcmplx_0 @ A) ) ) ) , file(xcmplx_0, k4_xcmplx_0)).
thf(dt_k5_numbers, axiom,  ( (m1_subset_1 @ k5_numbers)  @  (k1_zfmisc_1 @ k1_numbers) ) , file(numbers, k5_numbers)).
thf(dt_k5_xtuple_0, axiom, $true, file(xtuple_0, k5_xtuple_0)).
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_k6_xtuple_0, axiom, $true, file(xtuple_0, k6_xtuple_0)).
thf(dt_k7_nat_d, axiom,  (! [A: $i, B: $i] :  ( ( (v7_ordinal1 @ A)  &  (v7_ordinal1 @ B) )  =>  ( (m1_subset_1 @  ( (k7_nat_d @ A)  @ B) )  @ k5_numbers) ) ) , file(nat_d, k7_nat_d)).
thf(dt_k7_xcmplx_0, axiom, $true, file(xcmplx_0, k7_xcmplx_0)).
thf(dt_k7_xtuple_0, axiom, $true, file(xtuple_0, k7_xtuple_0)).
thf(dt_k8_xtuple_0, axiom, $true, file(xtuple_0, k8_xtuple_0)).
thf(dt_k9_xtuple_0, axiom, $true, file(xtuple_0, k9_xtuple_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_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_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_int_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_int_1 @ A)  &  (v1_int_1 @ B) )  =>  (v1_int_1 @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) , file(int_1, fc1_int_1)).
thf(fc1_nat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v7_ordinal1 @ A)  &  (v7_ordinal1 @ B) )  =>  (v7_ordinal1 @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) , file(nat_1, fc1_nat_1)).
thf(fc1_subset_1, axiom,  (! [A: $i] :  ~ ( (v1_xboole_0 @  (k1_zfmisc_1 @ A) ) ) ) , file(subset_1, fc1_subset_1)).
thf(fc1_xtuple_0, axiom,  (! [A: $i, B: $i] :  (v1_xtuple_0 @  ( (k4_tarski @ A)  @ B) ) ) , file(xtuple_0, fc1_xtuple_0)).
thf(fc20_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v2_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  (v3_xxreal_0 @  ( (k6_xcmplx_0 @ B)  @ A) ) ) ) , file(xreal_0, fc20_xreal_0)).
thf(fc21_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v3_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  (v3_xxreal_0 @  ( (k6_xcmplx_0 @ A)  @ B) ) ) ) , file(xreal_0, fc21_xreal_0)).
thf(fc22_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v3_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  (v2_xxreal_0 @  ( (k6_xcmplx_0 @ B)  @ A) ) ) ) , file(xreal_0, fc22_xreal_0)).
thf(fc23_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v2_xxreal_0 @  ( (k3_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc23_xreal_0)).
thf(fc24_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v2_xxreal_0 @  ( (k3_xcmplx_0 @ B)  @ A) ) ) ) ) , file(xreal_0, fc24_xreal_0)).
thf(fc25_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v3_xxreal_0 @  ( (k3_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc25_xreal_0)).
thf(fc26_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v3_xxreal_0 @  ( (k3_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc26_xreal_0)).
thf(fc2_int_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_int_1 @ A)  &  (v1_int_1 @ B) )  =>  (v1_int_1 @  ( (k3_xcmplx_0 @ A)  @ B) ) ) ) , file(int_1, fc2_int_1)).
thf(fc2_nat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v7_ordinal1 @ A)  &  (v7_ordinal1 @ B) )  =>  (v7_ordinal1 @  ( (k3_xcmplx_0 @ A)  @ B) ) ) ) , file(nat_1, fc2_nat_1)).
thf(fc2_xtuple_0, axiom,  (! [A: $i, B: $i, C: $i] :  (v2_xtuple_0 @  ( ( (k3_xtuple_0 @ A)  @ B)  @ C) ) ) , file(xtuple_0, fc2_xtuple_0)).
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(fc37_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xreal_0 @ A)  &  (v1_xreal_0 @ B) )  =>  (v1_xreal_0 @  ( (k1_xreal_0 @ A)  @ B) ) ) ) , file(xreal_0, fc37_xreal_0)).
thf(fc38_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xreal_0 @ A)  &  (v1_xreal_0 @ B) )  =>  ( ~ ( (v3_xxreal_0 @  ( (k1_xreal_0 @ A)  @ B) ) )  &  (v1_xreal_0 @  ( (k1_xreal_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc38_xreal_0)).
thf(fc3_int_1, axiom,  (! [A: $i] :  ( (v1_int_1 @ A)  =>  ( (v1_xcmplx_0 @  (k4_xcmplx_0 @ A) )  &  (v1_int_1 @  (k4_xcmplx_0 @ A) ) ) ) ) , file(int_1, fc3_int_1)).
thf(fc3_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(fc3_xtuple_0, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  (v3_xtuple_0 @  ( ( ( (k6_xtuple_0 @ A)  @ B)  @ C)  @ D) ) ) , file(xtuple_0, fc3_xtuple_0)).
thf(fc4_int_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_int_1 @ A)  &  (v1_int_1 @ B) )  =>  (v1_int_1 @  ( (k6_xcmplx_0 @ A)  @ B) ) ) ) , file(int_1, fc4_int_1)).
thf(fc4_nat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v7_ordinal1 @ A)  &  ( ~ ( (v1_xboole_0 @ B) )  &  (v7_ordinal1 @ B) ) )  =>  ~ ( (v1_xboole_0 @  ( (k2_xcmplx_0 @ B)  @ A) ) ) ) ) , file(nat_1, fc4_nat_1)).
thf(fc4_ordinal1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v5_ordinal1 @ A) ) )  =>  (v3_ordinal1 @  (k9_xtuple_0 @ A) ) ) ) , file(ordinal1, fc4_ordinal1)).
thf(fc4_xtuple_0, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v1_xboole_0 @  (k9_xtuple_0 @ A) ) ) ) , file(xtuple_0, fc4_xtuple_0)).
thf(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_ordinal1, axiom,  ( ~ ( (v1_xboole_0 @ k4_ordinal1) )  &  (v3_ordinal1 @ k4_ordinal1) ) , file(ordinal1, fc6_ordinal1)).
thf(fc6_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xreal_0 @ A)  &  (v1_xreal_0 @ B) )  =>  (v1_xreal_0 @  ( (k3_xcmplx_0 @ A)  @ B) ) ) ) , file(xreal_0, fc6_xreal_0)).
thf(fc7_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_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_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(rc1_int_1, axiom,  (? [A: $i] :  ( ( (m1_subset_1 @ A)  @ k1_numbers)  &  ( (v1_xxreal_0 @ A)  &  ( (v1_xcmplx_0 @ A)  &  ( (v1_xreal_0 @ A)  &  (v1_int_1 @ A) ) ) ) ) ) , file(int_1, rc1_int_1)).
thf(rc1_ordinal1, axiom,  (? [A: $i] :  (v3_ordinal1 @ A) ) , file(ordinal1, rc1_ordinal1)).
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_xreal_0, axiom,  (? [A: $i] :  (v1_xreal_0 @ A) ) , file(xreal_0, rc1_xreal_0)).
thf(rc1_xtuple_0, axiom,  (? [A: $i] :  (v1_xtuple_0 @ A) ) , file(xtuple_0, rc1_xtuple_0)).
thf(rc2_int_1, axiom,  (? [A: $i] :  (v1_int_1 @ A) ) , file(int_1, rc2_int_1)).
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_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_xreal_0, axiom,  (? [A: $i] :  ( (v1_xcmplx_0 @ A)  &  ( (v1_xxreal_0 @ A)  &  ( (v2_xxreal_0 @ A)  &  (v1_xreal_0 @ A) ) ) ) ) , file(xreal_0, rc2_xreal_0)).
thf(rc2_xtuple_0, axiom,  (? [A: $i] :  (v2_xtuple_0 @ A) ) , file(xtuple_0, rc2_xtuple_0)).
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(rc3_xtuple_0, axiom,  (? [A: $i] :  (v3_xtuple_0 @ A) ) , file(xtuple_0, rc3_xtuple_0)).
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_ordinal1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v7_ordinal1 @ A) ) ) , file(ordinal1, rc5_ordinal1)).
thf(rd10_xtuple_0, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( (= @  (k5_xtuple_0 @  ( ( ( (k6_xtuple_0 @ A)  @ B)  @ C)  @ D) ) )  @ C) ) , file(xtuple_0, rd10_xtuple_0)).
thf(rd11_xtuple_0, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( (= @  (k2_xtuple_0 @  ( ( ( (k6_xtuple_0 @ A)  @ B)  @ C)  @ D) ) )  @ D) ) , file(xtuple_0, rd11_xtuple_0)).
thf(rd12_xtuple_0, axiom,  (! [A: $i] :  ( (v3_xtuple_0 @ A)  =>  ( (= @  ( ( ( (k6_xtuple_0 @  (k7_xtuple_0 @ A) )  @  (k8_xtuple_0 @ A) )  @  (k5_xtuple_0 @ A) )  @  (k2_xtuple_0 @ A) ) )  @ A) ) ) , file(xtuple_0, rd12_xtuple_0)).
thf(rd1_xtuple_0, axiom,  (! [A: $i, B: $i] :  ( (= @  (k1_xtuple_0 @  ( (k4_tarski @ A)  @ B) ) )  @ A) ) , file(xtuple_0, rd1_xtuple_0)).
thf(rd2_xtuple_0, axiom,  (! [A: $i, B: $i] :  ( (= @  (k2_xtuple_0 @  ( (k4_tarski @ A)  @ B) ) )  @ B) ) , file(xtuple_0, rd2_xtuple_0)).
thf(rd3_xtuple_0, axiom,  (! [A: $i] :  ( (v1_xtuple_0 @ A)  =>  ( (= @  ( (k4_tarski @  (k1_xtuple_0 @ A) )  @  (k2_xtuple_0 @ A) ) )  @ A) ) ) , file(xtuple_0, rd3_xtuple_0)).
thf(rd5_xtuple_0, axiom,  (! [A: $i, B: $i, C: $i] :  ( (= @  (k5_xtuple_0 @  ( ( (k3_xtuple_0 @ A)  @ B)  @ C) ) )  @ B) ) , file(xtuple_0, rd5_xtuple_0)).
thf(rd6_xtuple_0, axiom,  (! [A: $i, B: $i, C: $i] :  ( (= @  (k2_xtuple_0 @  ( ( (k3_xtuple_0 @ A)  @ B)  @ C) ) )  @ C) ) , file(xtuple_0, rd6_xtuple_0)).
thf(rd8_xtuple_0, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( (= @  (k7_xtuple_0 @  ( ( ( (k6_xtuple_0 @ A)  @ B)  @ C)  @ D) ) )  @ A) ) , file(xtuple_0, rd8_xtuple_0)).
thf(rd9_xtuple_0, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( (= @  (k8_xtuple_0 @  ( ( ( (k6_xtuple_0 @ A)  @ B)  @ C)  @ D) ) )  @ B) ) , file(xtuple_0, rd9_xtuple_0)).
thf(redefinition_k1_nat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v7_ordinal1 @ A)  &  ( (m1_subset_1 @ B)  @ k5_numbers) )  =>  ( (= @  ( (k1_nat_1 @ A)  @ B) )  @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) , file(nat_1, k1_nat_1)).
thf(redefinition_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_k7_nat_d, axiom,  (! [A: $i, B: $i] :  ( ( (v7_ordinal1 @ A)  &  (v7_ordinal1 @ B) )  =>  ( (= @  ( (k7_nat_d @ A)  @ B) )  @  ( (k1_xreal_0 @ A)  @ B) ) ) ) , file(nat_d, k7_nat_d)).
thf(redefinition_m2_subset_1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) ) ) )  =>  (! [C: $i] :  ( ( ( (m2_subset_1 @ C)  @ A)  @ B)  <=>  ( (m1_subset_1 @ C)  @ B) ) ) ) ) , file(subset_1, m2_subset_1)).
thf(reflexivity_r1_tarski, axiom,  (! [A: $i, B: $i] :  ( (r1_tarski @ A)  @ A) ) , file(tarski, r1_tarski)).
thf(reflexivity_r1_xxreal_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xxreal_0 @ A)  &  (v1_xxreal_0 @ B) )  =>  ( (r1_xxreal_0 @ A)  @ A) ) ) , file(xxreal_0, r1_xxreal_0)).
thf(rqLessOrEqual__r1_xxreal_0__r0_r0, axiom,  ( (r1_xxreal_0 @ np__0)  @ np__0) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_r0)).
thf(rqLessOrEqual__r1_xxreal_0__r0_r1, axiom,  ( (r1_xxreal_0 @ np__0)  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_r1)).
thf(rqLessOrEqual__r1_xxreal_0__r0_r2, axiom,  ( (r1_xxreal_0 @ np__0)  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_r2)).
thf(rqLessOrEqual__r1_xxreal_0__r0_r3, axiom,  ( (r1_xxreal_0 @ np__0)  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_r3)).
thf(rqLessOrEqual__r1_xxreal_0__r0_r4, axiom,  ( (r1_xxreal_0 @ np__0)  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_r4)).
thf(rqLessOrEqual__r1_xxreal_0__r0_r5, axiom,  ( (r1_xxreal_0 @ np__0)  @ np__5) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_r5)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rm1, axiom,  ~ ( ( (r1_xxreal_0 @ np__0)  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rm2, axiom,  ~ ( ( (r1_xxreal_0 @ np__0)  @  (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rm3, axiom,  ~ ( ( (r1_xxreal_0 @ np__0)  @  (k4_xcmplx_0 @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rm4, axiom,  ~ ( ( (r1_xxreal_0 @ np__0)  @  (k4_xcmplx_0 @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rm4)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rm5, axiom,  ~ ( ( (r1_xxreal_0 @ np__0)  @  (k4_xcmplx_0 @ np__5) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rm5)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rn1d2, axiom,  ( (r1_xxreal_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rn1d3, axiom,  ( (r1_xxreal_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rn1d3)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rn1d4, axiom,  ( (r1_xxreal_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rn2d3, axiom,  ( (r1_xxreal_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rn2d3)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rn3d2, axiom,  ( (r1_xxreal_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rn3d2)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rn3d4, axiom,  ( (r1_xxreal_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rn3d4)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rn3d5, axiom,  ( (r1_xxreal_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__3)  @ np__5) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rn3d5)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rn4d3, axiom,  ( (r1_xxreal_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rn4d3)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rn4d5, axiom,  ( (r1_xxreal_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__4)  @ np__5) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rn4d5)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rn5d2, axiom,  ( (r1_xxreal_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rn5d2)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rn5d4, axiom,  ( (r1_xxreal_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rn5d4)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rnm1d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__0)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rnm1d3, axiom,  ~ ( ( (r1_xxreal_0 @ np__0)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rnm1d3)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rnm1d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__0)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rnm1d4)).
thf(rqLessOrEqual__r1_xxreal_0__r1_r0, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @ np__0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_r0)).
thf(rqLessOrEqual__r1_xxreal_0__r1_r1, axiom,  ( (r1_xxreal_0 @ np__1)  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_r1)).
thf(rqLessOrEqual__r1_xxreal_0__r1_r2, axiom,  ( (r1_xxreal_0 @ np__1)  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_r2)).
thf(rqLessOrEqual__r1_xxreal_0__r1_r3, axiom,  ( (r1_xxreal_0 @ np__1)  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_r3)).
thf(rqLessOrEqual__r1_xxreal_0__r1_r4, axiom,  ( (r1_xxreal_0 @ np__1)  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_r4)).
thf(rqLessOrEqual__r1_xxreal_0__r1_r5, axiom,  ( (r1_xxreal_0 @ np__1)  @ np__5) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_r5)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rm1, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rm2, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rm3, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  (k4_xcmplx_0 @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rm4, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  (k4_xcmplx_0 @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rm4)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rm5, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  (k4_xcmplx_0 @ np__5) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rm5)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rn1d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rn1d3, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rn1d3)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rn1d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rn2d3, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rn2d3)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rn3d2, axiom,  ( (r1_xxreal_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rn3d2)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rn3d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rn3d4)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rn3d5, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__3)  @ np__5) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rn3d5)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rn4d3, axiom,  ( (r1_xxreal_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rn4d3)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rn5d4, axiom,  ( (r1_xxreal_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rn5d4)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rnm1d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rnm1d3, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rnm1d3)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rnm1d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rnm1d4)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rnm3d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rnm3d4)).
thf(rqLessOrEqual__r1_xxreal_0__r2_r0, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @ np__0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_r0)).
thf(rqLessOrEqual__r1_xxreal_0__r2_r1, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @ np__1) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_r1)).
thf(rqLessOrEqual__r1_xxreal_0__r2_r2, axiom,  ( (r1_xxreal_0 @ np__2)  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_r2)).
thf(rqLessOrEqual__r1_xxreal_0__r2_r3, axiom,  ( (r1_xxreal_0 @ np__2)  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_r3)).
thf(rqLessOrEqual__r1_xxreal_0__r2_r4, axiom,  ( (r1_xxreal_0 @ np__2)  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_r4)).
thf(rqLessOrEqual__r1_xxreal_0__r2_r5, axiom,  ( (r1_xxreal_0 @ np__2)  @ np__5) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_r5)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rm1, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rm2, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rm3, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  (k4_xcmplx_0 @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rm4, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  (k4_xcmplx_0 @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rm4)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rm5, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  (k4_xcmplx_0 @ np__5) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rm5)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rn1d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rn1d3, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rn1d3)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rn1d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rn2d3, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rn2d3)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rn3d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rn3d2)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rn3d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rn3d4)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rn3d5, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__3)  @ np__5) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rn3d5)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rn4d5, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__4)  @ np__5) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rn4d5)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rn5d2, axiom,  ( (r1_xxreal_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rn5d2)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rn5d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rn5d4)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rnm1d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rnm1d3, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rnm1d3)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rnm1d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rnm1d4)).
thf(rqLessOrEqual__r1_xxreal_0__r3_r0, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @ np__0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_r0)).
thf(rqLessOrEqual__r1_xxreal_0__r3_r1, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @ np__1) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_r1)).
thf(rqLessOrEqual__r1_xxreal_0__r3_r2, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_r2)).
thf(rqLessOrEqual__r1_xxreal_0__r3_r3, axiom,  ( (r1_xxreal_0 @ np__3)  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_r3)).
thf(rqLessOrEqual__r1_xxreal_0__r3_r4, axiom,  ( (r1_xxreal_0 @ np__3)  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_r4)).
thf(rqLessOrEqual__r1_xxreal_0__r3_r5, axiom,  ( (r1_xxreal_0 @ np__3)  @ np__5) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_r5)).
thf(rqLessOrEqual__r1_xxreal_0__r3_rm1, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__r3_rm2, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @  (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__r3_rm3, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @  (k4_xcmplx_0 @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__r3_rn1d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r3_rn1d3, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_rn1d3)).
thf(rqLessOrEqual__r1_xxreal_0__r3_rn1d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__r3_rn2d3, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_rn2d3)).
thf(rqLessOrEqual__r1_xxreal_0__r3_rn3d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_rn3d2)).
thf(rqLessOrEqual__r1_xxreal_0__r3_rn3d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_rn3d4)).
thf(rqLessOrEqual__r1_xxreal_0__r3_rn3d5, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @  ( (k7_xcmplx_0 @ np__3)  @ np__5) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_rn3d5)).
thf(rqLessOrEqual__r1_xxreal_0__r3_rn4d5, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @  ( (k7_xcmplx_0 @ np__4)  @ np__5) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_rn4d5)).
thf(rqLessOrEqual__r1_xxreal_0__r3_rnm1d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r3_rnm1d3, axiom,  ~ ( ( (r1_xxreal_0 @ np__3)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r3_rnm1d3)).
thf(rqLessOrEqual__r1_xxreal_0__r4_r0, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @ np__0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_r0)).
thf(rqLessOrEqual__r1_xxreal_0__r4_r1, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @ np__1) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_r1)).
thf(rqLessOrEqual__r1_xxreal_0__r4_r2, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_r2)).
thf(rqLessOrEqual__r1_xxreal_0__r4_r3, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_r3)).
thf(rqLessOrEqual__r1_xxreal_0__r4_r4, axiom,  ( (r1_xxreal_0 @ np__4)  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_r4)).
thf(rqLessOrEqual__r1_xxreal_0__r4_r5, axiom,  ( (r1_xxreal_0 @ np__4)  @ np__5) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_r5)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rm1, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rm2, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @  (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rm3, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @  (k4_xcmplx_0 @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rm4, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @  (k4_xcmplx_0 @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_rm4)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rm5, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @  (k4_xcmplx_0 @ np__5) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_rm5)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rn1d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rn1d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rn3d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_rn3d2)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rn3d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_rn3d4)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rn4d5, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @  ( (k7_xcmplx_0 @ np__4)  @ np__5) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_rn4d5)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rn5d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_rn5d4)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rnm1d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rnm1d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_rnm1d4)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rnm3d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__4)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r4_rnm3d4)).
thf(rqLessOrEqual__r1_xxreal_0__r5_r0, axiom,  ~ ( ( (r1_xxreal_0 @ np__5)  @ np__0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r5_r0)).
thf(rqLessOrEqual__r1_xxreal_0__r5_r1, axiom,  ~ ( ( (r1_xxreal_0 @ np__5)  @ np__1) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r5_r1)).
thf(rqLessOrEqual__r1_xxreal_0__r5_r2, axiom,  ~ ( ( (r1_xxreal_0 @ np__5)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r5_r2)).
thf(rqLessOrEqual__r1_xxreal_0__r5_r3, axiom,  ~ ( ( (r1_xxreal_0 @ np__5)  @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r5_r3)).
thf(rqLessOrEqual__r1_xxreal_0__r5_r4, axiom,  ~ ( ( (r1_xxreal_0 @ np__5)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r5_r4)).
thf(rqLessOrEqual__r1_xxreal_0__r5_r5, axiom,  ( (r1_xxreal_0 @ np__5)  @ np__5) , file(arithm, rqLessOrEqual__r1_xxreal_0__r5_r5)).
thf(rqLessOrEqual__r1_xxreal_0__r5_rm1, axiom,  ~ ( ( (r1_xxreal_0 @ np__5)  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r5_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__r5_rm2, axiom,  ~ ( ( (r1_xxreal_0 @ np__5)  @  (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r5_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__r5_rm3, axiom,  ~ ( ( (r1_xxreal_0 @ np__5)  @  (k4_xcmplx_0 @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r5_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__r5_rm4, axiom,  ~ ( ( (r1_xxreal_0 @ np__5)  @  (k4_xcmplx_0 @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r5_rm4)).
thf(rqLessOrEqual__r1_xxreal_0__r5_rm5, axiom,  ~ ( ( (r1_xxreal_0 @ np__5)  @  (k4_xcmplx_0 @ np__5) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r5_rm5)).
thf(rqLessOrEqual__r1_xxreal_0__r5_rn1d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__5)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r5_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r5_rn1d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__5)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r5_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__r5_rn3d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__5)  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r5_rn3d2)).
thf(rqLessOrEqual__r1_xxreal_0__r5_rn3d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__5)  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r5_rn3d4)).
thf(rqLessOrEqual__r1_xxreal_0__r5_rn3d5, axiom,  ~ ( ( (r1_xxreal_0 @ np__5)  @  ( (k7_xcmplx_0 @ np__3)  @ np__5) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r5_rn3d5)).
thf(rqLessOrEqual__r1_xxreal_0__r5_rn4d5, axiom,  ~ ( ( (r1_xxreal_0 @ np__5)  @  ( (k7_xcmplx_0 @ np__4)  @ np__5) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r5_rn4d5)).
thf(rqLessOrEqual__r1_xxreal_0__r5_rn5d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__5)  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r5_rn5d2)).
thf(rqLessOrEqual__r1_xxreal_0__r5_rn5d4, axiom,  ~ ( ( (r1_xxreal_0 @ np__5)  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r5_rn5d4)).
thf(rqLessOrEqual__r1_xxreal_0__r5_rnm1d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__5)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r5_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_r0, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @ np__0) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_r1, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_r2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_r3, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_r4, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_r4)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_r5, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_r5)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rm1, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rm2, axiom,  ~ ( ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rm3, axiom,  ~ ( ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rm4, axiom,  ~ ( ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rm4)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rm5, axiom,  ~ ( ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__5) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rm5)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rn1d2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rn1d3, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rn1d3)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rn1d4, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rn2d3, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rn2d3)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rn3d2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rn3d2)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rn3d4, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rn3d4)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rnm1d2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rnm1d3, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rnm1d3)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rnm1d4, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rnm1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_r0, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__2) )  @ np__0) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_r1, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__2) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_r2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__2) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_r3, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_r4, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__2) )  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_r4)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_r5, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_r5)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_rm1, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_rm2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_rm3, axiom,  ~ ( ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__2) )  @  (k4_xcmplx_0 @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_rn1d2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_rn1d4, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_r0, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__3) )  @ np__0) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm3_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_r1, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__3) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm3_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_r2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm3_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_r3, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__3) )  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm3_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_r4, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm3_r4)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_rm1, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__3) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm3_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_rm2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__3) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm3_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_rm3, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__3) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm3_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_rn1d2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm3_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_rn1d4, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm3_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_rnm3d4, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm3_rnm3d4)).
thf(rqLessOrEqual__r1_xxreal_0__rm4_r0, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__4) )  @ np__0) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm4_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rm4_r1, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__4) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm4_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rm4_r2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__4) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm4_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rm4_r4, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__4) )  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm4_r4)).
thf(rqLessOrEqual__r1_xxreal_0__rm4_r5, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__4) )  @ np__5) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm4_r5)).
thf(rqLessOrEqual__r1_xxreal_0__rm4_rm1, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__4) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm4_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rm4_rm2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__4) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm4_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__rm4_rm4, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__4) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm4_rm4)).
thf(rqLessOrEqual__r1_xxreal_0__rm5_r1, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__5) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm5_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rm5_r2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm5_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rm5_r4, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm5_r4)).
thf(rqLessOrEqual__r1_xxreal_0__rm5_r5, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__5) )  @ np__5) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm5_r5)).
thf(rqLessOrEqual__r1_xxreal_0__rm5_rm1, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__5) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm5_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rm5_rm5, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__5) )  @  (k4_xcmplx_0 @ np__5) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm5_rm5)).
thf(rqLessOrEqual__r1_xxreal_0__rm5_rn5d2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__5) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm5_rn5d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_r0, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_r1, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_r2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_r3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_r4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_r4)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_r5, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__5) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_r5)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_rm1, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_rm2, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_rm3, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  (k4_xcmplx_0 @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d4, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_rn2d3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rn2d3)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_rn3d2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rn3d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_rn3d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rn3d4)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_rn3d5, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__5) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rn3d5)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_rnm1d2, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_rnm1d4, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rnm1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d3_r0, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @ np__0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d3_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d3_r1, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d3_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d3_r2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d3_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d3_r3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d3_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d3_rm1, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d3_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d3_rn1d3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d3_rn1d3)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d3_rn2d3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d3_rn2d3)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d3_rnm1d3, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d3_rnm1d3)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_r0, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_r1, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_r2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_r3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_r4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_r4)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_r5, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__5) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_r5)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_rm1, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_rm2, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_rm3, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  (k4_xcmplx_0 @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_rn1d2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_rn1d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_rn3d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_rn3d4)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_rn5d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_rn5d4)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_rnm1d2, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_rnm1d4, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_rnm1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d4_rnm3d4, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d4_rnm3d4)).
thf(rqLessOrEqual__r1_xxreal_0__rn2d3_r0, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @ np__0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn2d3_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rn2d3_r1, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn2d3_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rn2d3_r2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn2d3_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rn2d3_r3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn2d3_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rn2d3_rm1, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn2d3_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rn2d3_rn1d2, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn2d3_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn2d3_rn1d3, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn2d3_rn1d3)).
thf(rqLessOrEqual__r1_xxreal_0__rn2d3_rn2d3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn2d3_rn2d3)).
thf(rqLessOrEqual__r1_xxreal_0__rn2d3_rnm1d3, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn2d3_rnm1d3)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d2_r0, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @ np__0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d2_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d2_r1, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @ np__1) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d2_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d2_r2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d2_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d2_r3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d2_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d2_r4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d2_r4)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d2_r5, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @ np__5) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d2_r5)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d2_rm1, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d2_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d2_rn1d2, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d2_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d2_rn3d2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d2_rn3d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d2_rn3d4, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d2_rn3d4)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d2_rn3d5, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__5) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d2_rn3d5)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d2_rnm1d2, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d2_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d4_r0, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @ np__0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d4_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d4_r1, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d4_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d4_r2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d4_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d4_r3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d4_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d4_r4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d4_r4)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d4_r5, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @ np__5) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d4_r5)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d4_rm1, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d4_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d4_rn1d2, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d4_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d4_rn1d4, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d4_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d4_rn3d2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d4_rn3d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d4_rn3d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d4_rn3d4)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d4_rnm1d2, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d4_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d4_rnm1d4, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d4_rnm1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d4_rnm3d4, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d4_rnm3d4)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d5_r0, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__5) )  @ np__0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d5_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d5_r1, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__5) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d5_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d5_r2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__5) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d5_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d5_r3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__5) )  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d5_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d5_r5, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__5) )  @ np__5) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d5_r5)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d5_rn1d2, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__5) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d5_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d5_rn3d2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__5) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d5_rn3d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn3d5_rn3d5, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__5) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__5) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn3d5_rn3d5)).
thf(rqLessOrEqual__r1_xxreal_0__rn4d5_r0, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__5) )  @ np__0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn4d5_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rn4d5_r2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__5) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn4d5_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rn4d5_r3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__5) )  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn4d5_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rn4d5_r4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__5) )  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn4d5_r4)).
thf(rqLessOrEqual__r1_xxreal_0__rn4d5_r5, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__5) )  @ np__5) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn4d5_r5)).
thf(rqLessOrEqual__r1_xxreal_0__rn4d5_rn4d5, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__5) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__5) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn4d5_rn4d5)).
thf(rqLessOrEqual__r1_xxreal_0__rn5d2_r0, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__2) )  @ np__0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn5d2_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rn5d2_r2, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__2) )  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn5d2_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rn5d2_r5, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__2) )  @ np__5) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn5d2_r5)).
thf(rqLessOrEqual__r1_xxreal_0__rn5d2_rm5, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__2) )  @  (k4_xcmplx_0 @ np__5) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn5d2_rm5)).
thf(rqLessOrEqual__r1_xxreal_0__rn5d2_rn5d2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn5d2_rn5d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn5d4_r0, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__4) )  @ np__0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn5d4_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rn5d4_r1, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__4) )  @ np__1) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn5d4_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rn5d4_r4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__4) )  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn5d4_r4)).
thf(rqLessOrEqual__r1_xxreal_0__rn5d4_rn1d4, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn5d4_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rn5d4_rn5d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn5d4_rn5d4)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_r0, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__0) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_r1, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_r2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_r3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_r4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_r4)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_r5, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__5) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_r5)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_rm1, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_rm5, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  (k4_xcmplx_0 @ np__5) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_rm5)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn1d2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn1d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn3d2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_rn3d2)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn3d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_rn3d4)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_rnm1d2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_rnm1d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_rnm1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d3_r0, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @ np__0) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d3_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d3_r1, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d3_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d3_r2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d3_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d3_r3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d3_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d3_rm1, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d3_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d3_rn1d3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d3_rn1d3)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d3_rn2d3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d3_rn2d3)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d3_rnm1d3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d3_rnm1d3)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d4_r0, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @ np__0) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d4_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d4_r1, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d4_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d4_r2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d4_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d4_r3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d4_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d4_r4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d4_r4)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d4_rm1, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d4_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d4_rn1d2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d4_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d4_rn1d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d4_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d4_rn3d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d4_rn3d4)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d4_rnm1d2, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d4_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d4_rnm1d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d4_rnm1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d4_rnm3d4, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d4_rnm3d4)).
thf(rqLessOrEqual__r1_xxreal_0__rnm3d4_r0, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @ np__0) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm3d4_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rnm3d4_r1, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm3d4_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rnm3d4_r3, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @ np__3) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm3d4_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rnm3d4_r4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @ np__4) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm3d4_r4)).
thf(rqLessOrEqual__r1_xxreal_0__rnm3d4_rm3, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  (k4_xcmplx_0 @ np__3) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm3d4_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__rnm3d4_rn1d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm3d4_rn1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rnm3d4_rn3d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm3d4_rn3d4)).
thf(rqLessOrEqual__r1_xxreal_0__rnm3d4_rnm1d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm3d4_rnm1d4)).
thf(rqLessOrEqual__r1_xxreal_0__rnm3d4_rnm3d4, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm3d4_rnm3d4)).
thf(rqRealAdd__k2_xcmplx_0__r0_r0_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @ np__0) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_r0_r0)).
thf(rqRealAdd__k2_xcmplx_0__r0_r1_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @ np__1) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_r1_r1)).
thf(rqRealAdd__k2_xcmplx_0__r0_r2_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @ np__2) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_r2_r2)).
thf(rqRealAdd__k2_xcmplx_0__r0_r3_r3, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @ np__3) )  @ np__3) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_r3_r3)).
thf(rqRealAdd__k2_xcmplx_0__r0_r4_r4, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @ np__4) )  @ np__4) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_r4_r4)).
thf(rqRealAdd__k2_xcmplx_0__r0_r5_r5, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @ np__5) )  @ np__5) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_r5_r5)).
thf(rqRealAdd__k2_xcmplx_0__r0_rm1_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @  (k4_xcmplx_0 @ np__1) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rm1_rm1)).
thf(rqRealAdd__k2_xcmplx_0__r0_rm2_rm2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @  (k4_xcmplx_0 @ np__2) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rm2_rm2)).
thf(rqRealAdd__k2_xcmplx_0__r0_rm3_rm3, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @  (k4_xcmplx_0 @ np__3) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rm3_rm3)).
thf(rqRealAdd__k2_xcmplx_0__r0_rn1d2_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rn1d2_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__r0_rn1d4_rn1d4, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rn1d4_rn1d4)).
thf(rqRealAdd__k2_xcmplx_0__r0_rn2d3_rn2d3, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rn2d3_rn2d3)).
thf(rqRealAdd__k2_xcmplx_0__r0_rn3d2_rn3d2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rn3d2_rn3d2)).
thf(rqRealAdd__k2_xcmplx_0__r0_rnm1d2_rnm1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rnm1d2_rnm1d2)).
thf(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @ np__0) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_r0_r1)).
thf(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @ np__1) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_r1_r2)).
thf(rqRealAdd__k2_xcmplx_0__r1_r2_r3, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @ np__2) )  @ np__3) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_r2_r3)).
thf(rqRealAdd__k2_xcmplx_0__r1_r3_r4, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @ np__3) )  @ np__4) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_r3_r4)).
thf(rqRealAdd__k2_xcmplx_0__r1_r4_r5, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @ np__4) )  @ np__5) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_r4_r5)).
thf(rqRealAdd__k2_xcmplx_0__r1_rm1_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__1) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rm1_r0)).
thf(rqRealAdd__k2_xcmplx_0__r1_rm2_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rm2_rm1)).
thf(rqRealAdd__k2_xcmplx_0__r1_rm3_rm2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__3) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rm3_rm2)).
thf(rqRealAdd__k2_xcmplx_0__r1_rm4_rm3, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__4) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rm4_rm3)).
thf(rqRealAdd__k2_xcmplx_0__r1_rm5_rm4, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__5) ) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rm5_rm4)).
thf(rqRealAdd__k2_xcmplx_0__r1_rn1d2_rn3d2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rn1d2_rn3d2)).
thf(rqRealAdd__k2_xcmplx_0__r1_rn1d3_rn4d3, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rn1d3_rn4d3)).
thf(rqRealAdd__k2_xcmplx_0__r1_rn1d4_rn5d4, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rn1d4_rn5d4)).
thf(rqRealAdd__k2_xcmplx_0__r1_rn2d3_rn5d3, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rn2d3_rn5d3)).
thf(rqRealAdd__k2_xcmplx_0__r1_rn3d2_rn5d2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rn3d2_rn5d2)).
thf(rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__r1_rnm1d3_rn2d3, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rnm1d3_rn2d3)).
thf(rqRealAdd__k2_xcmplx_0__r1_rnm1d4_rn3d4, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rnm1d4_rn3d4)).
thf(rqRealAdd__k2_xcmplx_0__r1_rnm2d3_rn1d3, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rnm2d3_rn1d3)).
thf(rqRealAdd__k2_xcmplx_0__r1_rnm3d4_rn1d4, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rnm3d4_rn1d4)).
thf(rqRealAdd__k2_xcmplx_0__r2_r0_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__2)  @ np__0) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_r0_r2)).
thf(rqRealAdd__k2_xcmplx_0__r2_r1_r3, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__2)  @ np__1) )  @ np__3) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_r1_r3)).
thf(rqRealAdd__k2_xcmplx_0__r2_r2_r4, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__2)  @ np__2) )  @ np__4) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_r2_r4)).
thf(rqRealAdd__k2_xcmplx_0__r2_r3_r5, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__2)  @ np__3) )  @ np__5) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_r3_r5)).
thf(rqRealAdd__k2_xcmplx_0__r2_rm1_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__2)  @  (k4_xcmplx_0 @ np__1) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_rm1_r1)).
thf(rqRealAdd__k2_xcmplx_0__r2_rm2_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__2)  @  (k4_xcmplx_0 @ np__2) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_rm2_r0)).
thf(rqRealAdd__k2_xcmplx_0__r2_rm3_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__2)  @  (k4_xcmplx_0 @ np__3) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_rm3_rm1)).
thf(rqRealAdd__k2_xcmplx_0__r2_rm4_rm2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__2)  @  (k4_xcmplx_0 @ np__4) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_rm4_rm2)).
thf(rqRealAdd__k2_xcmplx_0__r2_rm5_rm3, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__2)  @  (k4_xcmplx_0 @ np__5) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_rm5_rm3)).
thf(rqRealAdd__k2_xcmplx_0__r2_rn1d2_rn5d2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_rn1d2_rn5d2)).
thf(rqRealAdd__k2_xcmplx_0__r2_rnm1d2_rn3d2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_rnm1d2_rn3d2)).
thf(rqRealAdd__k2_xcmplx_0__r2_rnm3d2_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_rnm3d2_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__r3_r0_r3, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__3)  @ np__0) )  @ np__3) , file(arithm, rqRealAdd__k2_xcmplx_0__r3_r0_r3)).
thf(rqRealAdd__k2_xcmplx_0__r3_r1_r4, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__3)  @ np__1) )  @ np__4) , file(arithm, rqRealAdd__k2_xcmplx_0__r3_r1_r4)).
thf(rqRealAdd__k2_xcmplx_0__r3_r2_r5, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__3)  @ np__2) )  @ np__5) , file(arithm, rqRealAdd__k2_xcmplx_0__r3_r2_r5)).
thf(rqRealAdd__k2_xcmplx_0__r3_rm1_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__3)  @  (k4_xcmplx_0 @ np__1) ) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__r3_rm1_r2)).
thf(rqRealAdd__k2_xcmplx_0__r3_rm2_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__3)  @  (k4_xcmplx_0 @ np__2) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__r3_rm2_r1)).
thf(rqRealAdd__k2_xcmplx_0__r3_rm3_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__3)  @  (k4_xcmplx_0 @ np__3) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__r3_rm3_r0)).
thf(rqRealAdd__k2_xcmplx_0__r3_rm4_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__3)  @  (k4_xcmplx_0 @ np__4) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r3_rm4_rm1)).
thf(rqRealAdd__k2_xcmplx_0__r3_rm5_rm2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__3)  @  (k4_xcmplx_0 @ np__5) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r3_rm5_rm2)).
thf(rqRealAdd__k2_xcmplx_0__r3_rnm1d2_rn5d2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__3)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r3_rnm1d2_rn5d2)).
thf(rqRealAdd__k2_xcmplx_0__r4_r0_r4, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__4)  @ np__0) )  @ np__4) , file(arithm, rqRealAdd__k2_xcmplx_0__r4_r0_r4)).
thf(rqRealAdd__k2_xcmplx_0__r4_r1_r5, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__4)  @ np__1) )  @ np__5) , file(arithm, rqRealAdd__k2_xcmplx_0__r4_r1_r5)).
thf(rqRealAdd__k2_xcmplx_0__r4_rm1_r3, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__4)  @  (k4_xcmplx_0 @ np__1) ) )  @ np__3) , file(arithm, rqRealAdd__k2_xcmplx_0__r4_rm1_r3)).
thf(rqRealAdd__k2_xcmplx_0__r4_rm2_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__4)  @  (k4_xcmplx_0 @ np__2) ) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__r4_rm2_r2)).
thf(rqRealAdd__k2_xcmplx_0__r4_rm3_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__4)  @  (k4_xcmplx_0 @ np__3) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__r4_rm3_r1)).
thf(rqRealAdd__k2_xcmplx_0__r4_rm4_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__4)  @  (k4_xcmplx_0 @ np__4) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__r4_rm4_r0)).
thf(rqRealAdd__k2_xcmplx_0__r4_rm5_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__4)  @  (k4_xcmplx_0 @ np__5) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r4_rm5_rm1)).
thf(rqRealAdd__k2_xcmplx_0__r5_r0_r5, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__5)  @ np__0) )  @ np__5) , file(arithm, rqRealAdd__k2_xcmplx_0__r5_r0_r5)).
thf(rqRealAdd__k2_xcmplx_0__r5_rm1_r4, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__5)  @  (k4_xcmplx_0 @ np__1) ) )  @ np__4) , file(arithm, rqRealAdd__k2_xcmplx_0__r5_rm1_r4)).
thf(rqRealAdd__k2_xcmplx_0__r5_rm2_r3, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__5)  @  (k4_xcmplx_0 @ np__2) ) )  @ np__3) , file(arithm, rqRealAdd__k2_xcmplx_0__r5_rm2_r3)).
thf(rqRealAdd__k2_xcmplx_0__r5_rm3_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__5)  @  (k4_xcmplx_0 @ np__3) ) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__r5_rm3_r2)).
thf(rqRealAdd__k2_xcmplx_0__r5_rm4_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__5)  @  (k4_xcmplx_0 @ np__4) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__r5_rm4_r1)).
thf(rqRealAdd__k2_xcmplx_0__r5_rm5_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__5)  @  (k4_xcmplx_0 @ np__5) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__r5_rm5_r0)).
thf(rqRealAdd__k2_xcmplx_0__rm1_r0_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__0) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_r0_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rm1_r1_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__1) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_r1_r0)).
thf(rqRealAdd__k2_xcmplx_0__rm1_r2_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_r2_r1)).
thf(rqRealAdd__k2_xcmplx_0__rm1_r3_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_r3_r2)).
thf(rqRealAdd__k2_xcmplx_0__rm1_r4_r3, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @ np__3) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_r4_r3)).
thf(rqRealAdd__k2_xcmplx_0__rm1_r5_r4, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) )  @ np__4) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_r5_r4)).
thf(rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__1) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2)).
thf(rqRealAdd__k2_xcmplx_0__rm1_rm2_rm3, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__2) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_rm2_rm3)).
thf(rqRealAdd__k2_xcmplx_0__rm1_rm3_rm4, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__3) ) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_rm3_rm4)).
thf(rqRealAdd__k2_xcmplx_0__rm1_rm4_rm5, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__4) ) )  @  (k4_xcmplx_0 @ np__5) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_rm4_rm5)).
thf(rqRealAdd__k2_xcmplx_0__rm1_rn1d2_rnm1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_rn1d2_rnm1d2)).
thf(rqRealAdd__k2_xcmplx_0__rm1_rn1d4_rnm3d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_rn1d4_rnm3d4)).
thf(rqRealAdd__k2_xcmplx_0__rm1_rn2d3_rnm1d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_rn2d3_rnm1d3)).
thf(rqRealAdd__k2_xcmplx_0__rm1_rn3d2_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_rn3d2_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__rm1_rn4d5_rnm1d5, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__5) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_rn4d5_rnm1d5)).
thf(rqRealAdd__k2_xcmplx_0__rm1_rnm1d2_rnm3d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_rnm1d2_rnm3d2)).
thf(rqRealAdd__k2_xcmplx_0__rm2_r1_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__1) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_r1_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rm2_r2_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__2) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_r2_r0)).
thf(rqRealAdd__k2_xcmplx_0__rm2_r3_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_r3_r1)).
thf(rqRealAdd__k2_xcmplx_0__rm2_r4_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__4) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_r4_r2)).
thf(rqRealAdd__k2_xcmplx_0__rm2_r5_r3, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) )  @ np__3) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_r5_r3)).
thf(rqRealAdd__k2_xcmplx_0__rm2_rm1_rm3, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_rm1_rm3)).
thf(rqRealAdd__k2_xcmplx_0__rm2_rm2_rm4, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_rm2_rm4)).
thf(rqRealAdd__k2_xcmplx_0__rm2_rm3_rm5, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  (k4_xcmplx_0 @ np__3) ) )  @  (k4_xcmplx_0 @ np__5) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_rm3_rm5)).
thf(rqRealAdd__k2_xcmplx_0__rm2_rn2d3_rnm4d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_rn2d3_rnm4d3)).
thf(rqRealAdd__k2_xcmplx_0__rm2_rn3d2_rnm1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_rn3d2_rnm1d2)).
thf(rqRealAdd__k2_xcmplx_0__rm2_rn4d3_rnm2d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_rn4d3_rnm2d3)).
thf(rqRealAdd__k2_xcmplx_0__rm2_rnm1d2_rnm5d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_rnm1d2_rnm5d2)).
thf(rqRealAdd__k2_xcmplx_0__rm3_r1_rm2, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__1) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm3_r1_rm2)).
thf(rqRealAdd__k2_xcmplx_0__rm3_r2_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm3_r2_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rm3_r3_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__3) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rm3_r3_r0)).
thf(rqRealAdd__k2_xcmplx_0__rm3_r4_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rm3_r4_r1)).
thf(rqRealAdd__k2_xcmplx_0__rm3_r5_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__5) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__rm3_r5_r2)).
thf(rqRealAdd__k2_xcmplx_0__rm3_rm1_rm4, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @  (k4_xcmplx_0 @ np__1) ) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm3_rm1_rm4)).
thf(rqRealAdd__k2_xcmplx_0__rm3_rm2_rm5, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @  (k4_xcmplx_0 @ np__2) ) )  @  (k4_xcmplx_0 @ np__5) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm3_rm2_rm5)).
thf(rqRealAdd__k2_xcmplx_0__rm3_rn3d2_rnm3d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm3_rn3d2_rnm3d2)).
thf(rqRealAdd__k2_xcmplx_0__rm4_r1_rm3, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__1) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm4_r1_rm3)).
thf(rqRealAdd__k2_xcmplx_0__rm4_r2_rm2, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm4_r2_rm2)).
thf(rqRealAdd__k2_xcmplx_0__rm4_r3_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm4_r3_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rm4_r4_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__4) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rm4_r4_r0)).
thf(rqRealAdd__k2_xcmplx_0__rm4_r5_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__5) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rm4_r5_r1)).
thf(rqRealAdd__k2_xcmplx_0__rm4_rm1_rm5, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @  (k4_xcmplx_0 @ np__1) ) )  @  (k4_xcmplx_0 @ np__5) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm4_rm1_rm5)).
thf(rqRealAdd__k2_xcmplx_0__rm5_r1_rm4, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__1) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm5_r1_rm4)).
thf(rqRealAdd__k2_xcmplx_0__rm5_r2_rm3, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm5_r2_rm3)).
thf(rqRealAdd__k2_xcmplx_0__rm5_r3_rm2, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__3) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm5_r3_rm2)).
thf(rqRealAdd__k2_xcmplx_0__rm5_r4_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm5_r4_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rm5_r5_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__5) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rm5_r5_r0)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_r0_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__0) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_r0_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_r1_rn3d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_r1_rn3d2)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_r2_rn5d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_r2_rn5d2)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_rm1_rnm1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rm1_rnm1d2)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_rm2_rnm3d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rm2_rnm3d2)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_rn1d2_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rn1d2_r1)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_rn1d4_rn3d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rn1d4_rn3d4)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_rn3d2_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rn3d2_r2)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_rn3d4_rn5d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rn3d4_rn5d4)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_rn5d2_r3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) )  @ np__3) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rn5d2_r3)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d4_rn1d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d4_rn1d4)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d2_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d2_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d4_rnm1d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d4_rnm1d4)).
thf(rqRealAdd__k2_xcmplx_0__rn1d3_r1_rn4d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d3_r1_rn4d3)).
thf(rqRealAdd__k2_xcmplx_0__rn1d3_rn1d3_rn2d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d3_rn1d3_rn2d3)).
thf(rqRealAdd__k2_xcmplx_0__rn1d3_rn2d3_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d3_rn2d3_r1)).
thf(rqRealAdd__k2_xcmplx_0__rn1d3_rn4d3_rn5d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d3_rn4d3_rn5d3)).
thf(rqRealAdd__k2_xcmplx_0__rn1d3_rnm1d3_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d3_rnm1d3_r0)).
thf(rqRealAdd__k2_xcmplx_0__rn1d3_rnm2d3_rnm1d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d3_rnm2d3_rnm1d3)).
thf(rqRealAdd__k2_xcmplx_0__rn1d4_r0_rn1d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__0) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d4_r0_rn1d4)).
thf(rqRealAdd__k2_xcmplx_0__rn1d4_r1_rn5d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d4_r1_rn5d4)).
thf(rqRealAdd__k2_xcmplx_0__rn1d4_rm1_rnm3d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d4_rm1_rnm3d4)).
thf(rqRealAdd__k2_xcmplx_0__rn1d4_rn1d2_rn3d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d4_rn1d2_rn3d4)).
thf(rqRealAdd__k2_xcmplx_0__rn1d4_rn1d4_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d4_rn1d4_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__rn1d4_rn3d4_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d4_rn3d4_r1)).
thf(rqRealAdd__k2_xcmplx_0__rn1d4_rn5d4_rn3d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d4_rn5d4_rn3d2)).
thf(rqRealAdd__k2_xcmplx_0__rn1d4_rnm1d2_rnm1d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d4_rnm1d2_rnm1d4)).
thf(rqRealAdd__k2_xcmplx_0__rn1d4_rnm1d4_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d4_rnm1d4_r0)).
thf(rqRealAdd__k2_xcmplx_0__rn1d4_rnm3d4_rnm1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d4_rnm3d4_rnm1d2)).
thf(rqRealAdd__k2_xcmplx_0__rn1d5_rn1d5_rn2d5, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__5) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__5) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d5_rn1d5_rn2d5)).
thf(rqRealAdd__k2_xcmplx_0__rn1d5_rn2d5_rn3d5, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__5) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__5) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d5_rn2d5_rn3d5)).
thf(rqRealAdd__k2_xcmplx_0__rn1d5_rn4d5_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__5) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__5) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d5_rn4d5_r1)).
thf(rqRealAdd__k2_xcmplx_0__rn2d3_r0_rn2d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @ np__0) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn2d3_r0_rn2d3)).
thf(rqRealAdd__k2_xcmplx_0__rn2d3_rn1d3_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rn2d3_rn1d3_r1)).
thf(rqRealAdd__k2_xcmplx_0__rn2d3_rn2d3_rn4d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn2d3_rn2d3_rn4d3)).
thf(rqRealAdd__k2_xcmplx_0__rn2d3_rn4d3_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__rn2d3_rn4d3_r2)).
thf(rqRealAdd__k2_xcmplx_0__rn2d3_rnm1d3_rn1d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn2d3_rnm1d3_rn1d3)).
thf(rqRealAdd__k2_xcmplx_0__rn2d3_rnm2d3_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rn2d3_rnm2d3_r0)).
thf(rqRealAdd__k2_xcmplx_0__rn2d5_rn1d5_rn3d5, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__5) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__5) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn2d5_rn1d5_rn3d5)).
thf(rqRealAdd__k2_xcmplx_0__rn2d5_rn2d5_rn4d5, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__5) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__5) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn2d5_rn2d5_rn4d5)).
thf(rqRealAdd__k2_xcmplx_0__rn3d2_r0_rn3d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @ np__0) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d2_r0_rn3d2)).
thf(rqRealAdd__k2_xcmplx_0__rn3d2_rm1_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d2_rm1_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__rn3d2_rm2_rnm1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d2_rm2_rnm1d2)).
thf(rqRealAdd__k2_xcmplx_0__rn3d2_rn1d2_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d2_rn1d2_r2)).
thf(rqRealAdd__k2_xcmplx_0__rn3d2_rn3d2_r3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @ np__3) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d2_rn3d2_r3)).
thf(rqRealAdd__k2_xcmplx_0__rn3d2_rnm1d2_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d2_rnm1d2_r1)).
thf(rqRealAdd__k2_xcmplx_0__rn3d2_rnm3d2_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d2_rnm3d2_r0)).
thf(rqRealAdd__k2_xcmplx_0__rn3d4_rn1d2_rn5d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d4_rn1d2_rn5d4)).
thf(rqRealAdd__k2_xcmplx_0__rn3d4_rn1d4_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d4_rn1d4_r1)).
thf(rqRealAdd__k2_xcmplx_0__rn3d4_rn3d4_rn3d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d4_rn3d4_rn3d2)).
thf(rqRealAdd__k2_xcmplx_0__rn3d4_rnm1d2_rn1d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d4_rnm1d2_rn1d4)).
thf(rqRealAdd__k2_xcmplx_0__rn3d4_rnm1d4_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d4_rnm1d4_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__rn3d4_rnm3d2_rnm3d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d4_rnm3d2_rnm3d4)).
thf(rqRealAdd__k2_xcmplx_0__rn3d4_rnm3d4_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rn3d4_rnm3d4_r0)).
thf(rqRealAdd__k2_xcmplx_0__rn4d3_rn2d3_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__rn4d3_rn2d3_r2)).
thf(rqRealAdd__k2_xcmplx_0__rn4d3_rnm1d3_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rn4d3_rnm1d3_r1)).
thf(rqRealAdd__k2_xcmplx_0__rn4d5_rm1_rnm1d5, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__5) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn4d5_rm1_rnm1d5)).
thf(rqRealAdd__k2_xcmplx_0__rn4d5_rn1d5_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__5) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__5) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rn4d5_rn1d5_r1)).
thf(rqRealAdd__k2_xcmplx_0__rn5d2_rm2_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn5d2_rm2_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__rn5d2_rn1d2_r3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @ np__3) , file(arithm, rqRealAdd__k2_xcmplx_0__rn5d2_rn1d2_r3)).
thf(rqRealAdd__k2_xcmplx_0__rn5d4_rn1d4_rn3d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn5d4_rn1d4_rn3d2)).
thf(rqRealAdd__k2_xcmplx_0__rn5d4_rn3d4_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__rn5d4_rn3d4_r2)).
thf(rqRealAdd__k2_xcmplx_0__rn5d4_rn5d4_rn5d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn5d4_rn5d4_rn5d2)).
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_rm2_rnm5d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_rm2_rnm5d2)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d2_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d2_r0)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d4_rnm1d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d4_rnm1d4)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d2_rn3d2_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_rn3d2_r1)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d2_rn5d4_rn3d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_rn5d4_rn3d4)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d2_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d2_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d4_rnm3d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d4_rnm3d4)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d2_rnm3d2_rm2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_rnm3d2_rm2)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d3_r1_rn2d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d3_r1_rn2d3)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d3_rn1d3_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d3_rn1d3_r0)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d3_rn2d3_rn1d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d3_rn2d3_rn1d3)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d3_rn4d3_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d3_rn4d3_r1)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d3_rnm1d3_rnm2d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d3_rnm1d3_rnm2d3)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d3_rnm2d3_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d3_rnm2d3_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d4_r1_rn3d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d4_r1_rn3d4)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d4_rn1d2_rn1d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d4_rn1d2_rn1d4)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d4_rn1d4_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d4_rn1d4_r0)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d4_rn3d4_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d4_rn3d4_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d4_rnm1d2_rnm3d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d4_rnm1d2_rnm3d4)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d4_rnm1d4_rnm1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d4_rnm1d4_rnm1d2)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d4_rnm3d4_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d4_rnm3d4_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d5_rn3d5_rn2d5, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__5) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d5_rn3d5_rn2d5)).
thf(rqRealAdd__k2_xcmplx_0__rnm2d3_r1_rn1d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm2d3_r1_rn1d3)).
thf(rqRealAdd__k2_xcmplx_0__rnm2d3_rn2d3_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm2d3_rn2d3_r0)).
thf(rqRealAdd__k2_xcmplx_0__rnm2d3_rnm1d3_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm2d3_rnm1d3_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rnm2d3_rnm2d3_rnm4d3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm2d3_rnm2d3_rnm4d3)).
thf(rqRealAdd__k2_xcmplx_0__rnm3d2_r1_rnm1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d2_r1_rnm1d2)).
thf(rqRealAdd__k2_xcmplx_0__rnm3d2_r2_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d2_r2_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__rnm3d2_rn1d2_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d2_rn1d2_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rnm3d2_rn3d2_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d2_rn3d2_r0)).
thf(rqRealAdd__k2_xcmplx_0__rnm3d2_rn3d4_rnm3d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d2_rn3d4_rnm3d4)).
thf(rqRealAdd__k2_xcmplx_0__rnm3d2_rnm3d2_rm3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d2_rnm3d2_rm3)).
thf(rqRealAdd__k2_xcmplx_0__rnm3d4_r1_rn1d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d4_r1_rn1d4)).
thf(rqRealAdd__k2_xcmplx_0__rnm3d4_rn1d2_rnm1d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d4_rn1d2_rnm1d4)).
thf(rqRealAdd__k2_xcmplx_0__rnm3d4_rn3d2_rn3d4, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d4_rn3d2_rn3d4)).
thf(rqRealAdd__k2_xcmplx_0__rnm3d4_rn3d4_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d4_rn3d4_r0)).
thf(rqRealAdd__k2_xcmplx_0__rnm3d4_rnm1d4_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d4_rnm1d4_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rnm3d4_rnm3d4_rnm3d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm3d4_rnm3d4_rnm3d2)).
thf(rqRealAdd__k2_xcmplx_0__rnm5d2_r2_rnm1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm5d2_r2_rnm1d2)).
thf(rqRealAdd__k2_xcmplx_0__rnm5d2_rnm1d2_rm3, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm5d2_rnm1d2_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_r4_rm4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @ np__4) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_r4_rm4)).
thf(rqRealDiff__k6_xcmplx_0__r0_r5_rm5, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @ np__5) )  @  (k4_xcmplx_0 @ np__5) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_r5_rm5)).
thf(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  (k4_xcmplx_0 @ np__1) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rm1_r1)).
thf(rqRealDiff__k6_xcmplx_0__r0_rm2_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  (k4_xcmplx_0 @ np__2) ) )  @ np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rm2_r2)).
thf(rqRealDiff__k6_xcmplx_0__r0_rm3_r3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  (k4_xcmplx_0 @ np__3) ) )  @ np__3) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rm3_r3)).
thf(rqRealDiff__k6_xcmplx_0__r0_rm4_r4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  (k4_xcmplx_0 @ np__4) ) )  @ np__4) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rm4_r4)).
thf(rqRealDiff__k6_xcmplx_0__r0_rm5_r5, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  (k4_xcmplx_0 @ np__5) ) )  @ np__5) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rm5_r5)).
thf(rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__r0_rn1d3_rnm1d3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rn1d3_rnm1d3)).
thf(rqRealDiff__k6_xcmplx_0__r0_rn1d4_rnm1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rn1d4_rnm1d4)).
thf(rqRealDiff__k6_xcmplx_0__r0_rn2d3_rnm2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rn2d3_rnm2d3)).
thf(rqRealDiff__k6_xcmplx_0__r0_rn3d2_rnm3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rn3d2_rnm3d2)).
thf(rqRealDiff__k6_xcmplx_0__r0_rn3d4_rnm3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rn3d4_rnm3d4)).
thf(rqRealDiff__k6_xcmplx_0__r0_rn5d2_rnm5d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rn5d2_rnm5d2)).
thf(rqRealDiff__k6_xcmplx_0__r0_rn5d4_rnm5d4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rn5d4_rnm5d4)).
thf(rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__r0_rnm1d4_rn1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rnm1d4_rn1d4)).
thf(rqRealDiff__k6_xcmplx_0__r0_rnm3d2_rn3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rnm3d2_rn3d2)).
thf(rqRealDiff__k6_xcmplx_0__r0_rnm3d4_rn3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rnm3d4_rn3d4)).
thf(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @ np__0) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_r0_r1)).
thf(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @ np__1) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_r1_r0)).
thf(rqRealDiff__k6_xcmplx_0__r1_r2_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_r2_rm1)).
thf(rqRealDiff__k6_xcmplx_0__r1_r3_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @ np__3) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_r3_rm2)).
thf(rqRealDiff__k6_xcmplx_0__r1_r4_rm3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @ np__4) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_r4_rm3)).
thf(rqRealDiff__k6_xcmplx_0__r1_r5_rm4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @ np__5) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_r5_rm4)).
thf(rqRealDiff__k6_xcmplx_0__r1_rm1_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__1) ) )  @ np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rm1_r2)).
thf(rqRealDiff__k6_xcmplx_0__r1_rm2_r3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__2) ) )  @ np__3) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rm2_r3)).
thf(rqRealDiff__k6_xcmplx_0__r1_rm3_r4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__3) ) )  @ np__4) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rm3_r4)).
thf(rqRealDiff__k6_xcmplx_0__r1_rm4_r5, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__4) ) )  @ np__5) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rm4_r5)).
thf(rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__r1_rn1d3_rn2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rn1d3_rn2d3)).
thf(rqRealDiff__k6_xcmplx_0__r1_rn1d4_rn3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rn1d4_rn3d4)).
thf(rqRealDiff__k6_xcmplx_0__r1_rn1d5_rn4d5, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__5) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rn1d5_rn4d5)).
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_rn2d5_rn3d5, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__2)  @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__5) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rn2d5_rn3d5)).
thf(rqRealDiff__k6_xcmplx_0__r1_rn3d2_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rn3d2_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__r1_rn3d4_rn1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rn3d4_rn1d4)).
thf(rqRealDiff__k6_xcmplx_0__r1_rn3d5_rn2d5, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__3)  @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__5) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rn3d5_rn2d5)).
thf(rqRealDiff__k6_xcmplx_0__r1_rn4d3_rnm1d3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rn4d3_rnm1d3)).
thf(rqRealDiff__k6_xcmplx_0__r1_rn4d5_rn1d5, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__4)  @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__5) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rn4d5_rn1d5)).
thf(rqRealDiff__k6_xcmplx_0__r1_rn5d2_rnm3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rn5d2_rnm3d2)).
thf(rqRealDiff__k6_xcmplx_0__r1_rn5d3_rnm2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__5)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rn5d3_rnm2d3)).
thf(rqRealDiff__k6_xcmplx_0__r1_rn5d4_rnm1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rn5d4_rnm1d4)).
thf(rqRealDiff__k6_xcmplx_0__r1_rnm1d2_rn3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rnm1d2_rn3d2)).
thf(rqRealDiff__k6_xcmplx_0__r1_rnm1d3_rn4d3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rnm1d3_rn4d3)).
thf(rqRealDiff__k6_xcmplx_0__r1_rnm1d4_rn5d4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rnm1d4_rn5d4)).
thf(rqRealDiff__k6_xcmplx_0__r1_rnm2d3_rn5d3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rnm2d3_rn5d3)).
thf(rqRealDiff__k6_xcmplx_0__r1_rnm3d2_rn5d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rnm3d2_rn5d2)).
thf(rqRealDiff__k6_xcmplx_0__r2_r0_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @ np__0) )  @ np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_r0_r2)).
thf(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @ np__1) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_r1_r1)).
thf(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @ np__2) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_r2_r0)).
thf(rqRealDiff__k6_xcmplx_0__r2_r3_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @ np__3) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_r3_rm1)).
thf(rqRealDiff__k6_xcmplx_0__r2_r4_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @ np__4) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_r4_rm2)).
thf(rqRealDiff__k6_xcmplx_0__r2_r5_rm3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @ np__5) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_r5_rm3)).
thf(rqRealDiff__k6_xcmplx_0__r2_rm1_r3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @  (k4_xcmplx_0 @ np__1) ) )  @ np__3) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_rm1_r3)).
thf(rqRealDiff__k6_xcmplx_0__r2_rm2_r4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @  (k4_xcmplx_0 @ np__2) ) )  @ np__4) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_rm2_r4)).
thf(rqRealDiff__k6_xcmplx_0__r2_rm3_r5, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @  (k4_xcmplx_0 @ np__3) ) )  @ np__5) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_rm3_r5)).
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_rn1d3_rn5d3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_rn1d3_rn5d3)).
thf(rqRealDiff__k6_xcmplx_0__r2_rn2d3_rn4d3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_rn2d3_rn4d3)).
thf(rqRealDiff__k6_xcmplx_0__r2_rn3d2_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_rn3d2_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__r2_rn3d4_rn5d4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_rn3d4_rn5d4)).
thf(rqRealDiff__k6_xcmplx_0__r2_rn4d3_rn2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_rn4d3_rn2d3)).
thf(rqRealDiff__k6_xcmplx_0__r2_rn5d2_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_rn5d2_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__r2_rn5d4_rn3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_rn5d4_rn3d4)).
thf(rqRealDiff__k6_xcmplx_0__r2_rnm1d2_rn5d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_rnm1d2_rn5d2)).
thf(rqRealDiff__k6_xcmplx_0__r3_r0_r3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__3)  @ np__0) )  @ np__3) , file(arithm, rqRealDiff__k6_xcmplx_0__r3_r0_r3)).
thf(rqRealDiff__k6_xcmplx_0__r3_r1_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__3)  @ np__1) )  @ np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__r3_r1_r2)).
thf(rqRealDiff__k6_xcmplx_0__r3_r2_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__3)  @ np__2) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__r3_r2_r1)).
thf(rqRealDiff__k6_xcmplx_0__r3_r3_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__3)  @ np__3) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__r3_r3_r0)).
thf(rqRealDiff__k6_xcmplx_0__r3_r4_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__3)  @ np__4) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r3_r4_rm1)).
thf(rqRealDiff__k6_xcmplx_0__r3_r5_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__3)  @ np__5) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r3_r5_rm2)).
thf(rqRealDiff__k6_xcmplx_0__r3_rm1_r4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__3)  @  (k4_xcmplx_0 @ np__1) ) )  @ np__4) , file(arithm, rqRealDiff__k6_xcmplx_0__r3_rm1_r4)).
thf(rqRealDiff__k6_xcmplx_0__r3_rm2_r5, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__3)  @  (k4_xcmplx_0 @ np__2) ) )  @ np__5) , file(arithm, rqRealDiff__k6_xcmplx_0__r3_rm2_r5)).
thf(rqRealDiff__k6_xcmplx_0__r3_rn1d2_rn5d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__3)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r3_rn1d2_rn5d2)).
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__r3_rn5d2_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__3)  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r3_rn5d2_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__r4_r0_r4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__4)  @ np__0) )  @ np__4) , file(arithm, rqRealDiff__k6_xcmplx_0__r4_r0_r4)).
thf(rqRealDiff__k6_xcmplx_0__r4_r1_r3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__4)  @ np__1) )  @ np__3) , file(arithm, rqRealDiff__k6_xcmplx_0__r4_r1_r3)).
thf(rqRealDiff__k6_xcmplx_0__r4_r2_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__4)  @ np__2) )  @ np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__r4_r2_r2)).
thf(rqRealDiff__k6_xcmplx_0__r4_r3_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__4)  @ np__3) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__r4_r3_r1)).
thf(rqRealDiff__k6_xcmplx_0__r4_r4_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__4)  @ np__4) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__r4_r4_r0)).
thf(rqRealDiff__k6_xcmplx_0__r4_r5_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__4)  @ np__5) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r4_r5_rm1)).
thf(rqRealDiff__k6_xcmplx_0__r4_rm1_r5, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__4)  @  (k4_xcmplx_0 @ np__1) ) )  @ np__5) , file(arithm, rqRealDiff__k6_xcmplx_0__r4_rm1_r5)).
thf(rqRealDiff__k6_xcmplx_0__r4_rn3d2_rn5d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__4)  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r4_rn3d2_rn5d2)).
thf(rqRealDiff__k6_xcmplx_0__r4_rn5d2_rn3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__4)  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r4_rn5d2_rn3d2)).
thf(rqRealDiff__k6_xcmplx_0__r5_r0_r5, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__5)  @ np__0) )  @ np__5) , file(arithm, rqRealDiff__k6_xcmplx_0__r5_r0_r5)).
thf(rqRealDiff__k6_xcmplx_0__r5_r1_r4, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__5)  @ np__1) )  @ np__4) , file(arithm, rqRealDiff__k6_xcmplx_0__r5_r1_r4)).
thf(rqRealDiff__k6_xcmplx_0__r5_r2_r3, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__5)  @ np__2) )  @ np__3) , file(arithm, rqRealDiff__k6_xcmplx_0__r5_r2_r3)).
thf(rqRealDiff__k6_xcmplx_0__r5_r3_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__5)  @ np__3) )  @ np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__r5_r3_r2)).
thf(rqRealDiff__k6_xcmplx_0__r5_r4_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__5)  @ np__4) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__r5_r4_r1)).
thf(rqRealDiff__k6_xcmplx_0__r5_r5_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__5)  @ np__5) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__r5_r5_r0)).
thf(rqRealDiff__k6_xcmplx_0__r5_rn5d2_rn5d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__5)  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r5_rn5d2_rn5d2)).
thf(rqRealDiff__k6_xcmplx_0__rm1_r0_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__0) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_r0_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rm1_r1_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__1) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_r1_rm2)).
thf(rqRealDiff__k6_xcmplx_0__rm1_r2_rm3, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_r2_rm3)).
thf(rqRealDiff__k6_xcmplx_0__rm1_r3_rm4, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_r3_rm4)).
thf(rqRealDiff__k6_xcmplx_0__rm1_r4_rm5, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  (k4_xcmplx_0 @ np__5) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_r4_rm5)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rm1_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__1) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rm1_r0)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rm2_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__2) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rm2_r1)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rm3_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__3) ) )  @ np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rm3_r2)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rm4_r3, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__4) ) )  @ np__3) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rm4_r3)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rm5_r4, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__5) ) )  @ np__4) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rm5_r4)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rn1d2_rnm3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rn1d2_rnm3d2)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rn1d3_rnm4d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rn1d3_rnm4d3)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rn1d4_rnm5d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rn1d4_rnm5d4)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rn2d3_rnm5d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rn2d3_rnm5d3)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rn3d2_rnm5d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rn3d2_rnm5d2)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rnm1d3_rnm2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rnm1d3_rnm2d3)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rnm1d4_rnm3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rnm1d4_rnm3d4)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rnm1d5_rnm4d5, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__5) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rnm1d5_rnm4d5)).
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_rnm2d5_rnm3d5, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__5) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rnm2d5_rnm3d5)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rnm3d2_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rnm3d2_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rnm3d4_rnm1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rnm3d4_rnm1d4)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rnm3d5_rnm2d5, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__5) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rnm3d5_rnm2d5)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rnm4d3_rn1d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rnm4d3_rn1d3)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rnm4d5_rnm1d5, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__5) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rnm4d5_rnm1d5)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rnm5d2_rn3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rnm5d2_rn3d2)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rnm5d3_rn2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rnm5d3_rn2d3)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rnm5d4_rn1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rnm5d4_rn1d4)).
thf(rqRealDiff__k6_xcmplx_0__rm2_r0_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__0) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_r0_rm2)).
thf(rqRealDiff__k6_xcmplx_0__rm2_r1_rm3, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__1) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_r1_rm3)).
thf(rqRealDiff__k6_xcmplx_0__rm2_r2_rm4, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__2) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_r2_rm4)).
thf(rqRealDiff__k6_xcmplx_0__rm2_r3_rm5, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  (k4_xcmplx_0 @ np__5) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_r3_rm5)).
thf(rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rm2_rm2_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_rm2_r0)).
thf(rqRealDiff__k6_xcmplx_0__rm2_rm3_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  (k4_xcmplx_0 @ np__3) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_rm3_r1)).
thf(rqRealDiff__k6_xcmplx_0__rm2_rm4_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  (k4_xcmplx_0 @ np__4) ) )  @ np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_rm4_r2)).
thf(rqRealDiff__k6_xcmplx_0__rm2_rm5_r3, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  (k4_xcmplx_0 @ np__5) ) )  @ np__3) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_rm5_r3)).
thf(rqRealDiff__k6_xcmplx_0__rm2_rn1d2_rnm5d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_rn1d2_rnm5d2)).
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_rnm1d3_rnm5d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_rnm1d3_rnm5d3)).
thf(rqRealDiff__k6_xcmplx_0__rm2_rnm2d3_rnm4d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_rnm2d3_rnm4d3)).
thf(rqRealDiff__k6_xcmplx_0__rm2_rnm3d2_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_rnm3d2_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__rm2_rnm3d4_rnm5d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_rnm3d4_rnm5d4)).
thf(rqRealDiff__k6_xcmplx_0__rm2_rnm5d2_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_rnm5d2_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__rm2_rnm5d4_rnm3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_rnm5d4_rnm3d4)).
thf(rqRealDiff__k6_xcmplx_0__rm3_r0_rm3, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__0) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm3_r0_rm3)).
thf(rqRealDiff__k6_xcmplx_0__rm3_r1_rm4, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__1) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm3_r1_rm4)).
thf(rqRealDiff__k6_xcmplx_0__rm3_r2_rm5, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  (k4_xcmplx_0 @ np__5) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm3_r2_rm5)).
thf(rqRealDiff__k6_xcmplx_0__rm3_rm1_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @  (k4_xcmplx_0 @ np__1) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm3_rm1_rm2)).
thf(rqRealDiff__k6_xcmplx_0__rm3_rm2_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @  (k4_xcmplx_0 @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm3_rm2_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rm3_rm3_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @  (k4_xcmplx_0 @ np__3) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rm3_rm3_r0)).
thf(rqRealDiff__k6_xcmplx_0__rm3_rm4_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @  (k4_xcmplx_0 @ np__4) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rm3_rm4_r1)).
thf(rqRealDiff__k6_xcmplx_0__rm3_rm5_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @  (k4_xcmplx_0 @ np__5) ) )  @ np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__rm3_rm5_r2)).
thf(rqRealDiff__k6_xcmplx_0__rm3_rnm1d2_rnm5d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm3_rnm1d2_rnm5d2)).
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__rm3_rnm5d2_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm3_rnm5d2_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__rm4_r0_rm4, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__0) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm4_r0_rm4)).
thf(rqRealDiff__k6_xcmplx_0__rm4_r1_rm5, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__1) )  @  (k4_xcmplx_0 @ np__5) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm4_r1_rm5)).
thf(rqRealDiff__k6_xcmplx_0__rm4_rm1_rm3, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @  (k4_xcmplx_0 @ np__1) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm4_rm1_rm3)).
thf(rqRealDiff__k6_xcmplx_0__rm4_rm2_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @  (k4_xcmplx_0 @ np__2) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm4_rm2_rm2)).
thf(rqRealDiff__k6_xcmplx_0__rm4_rm3_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @  (k4_xcmplx_0 @ np__3) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm4_rm3_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rm4_rm4_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @  (k4_xcmplx_0 @ np__4) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rm4_rm4_r0)).
thf(rqRealDiff__k6_xcmplx_0__rm4_rm5_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @  (k4_xcmplx_0 @ np__5) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rm4_rm5_r1)).
thf(rqRealDiff__k6_xcmplx_0__rm4_rnm3d2_rnm5d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm4_rnm3d2_rnm5d2)).
thf(rqRealDiff__k6_xcmplx_0__rm4_rnm5d2_rnm3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm4_rnm5d2_rnm3d2)).
thf(rqRealDiff__k6_xcmplx_0__rm5_r0_rm5, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__0) )  @  (k4_xcmplx_0 @ np__5) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm5_r0_rm5)).
thf(rqRealDiff__k6_xcmplx_0__rm5_rm1_rm4, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @  (k4_xcmplx_0 @ np__1) ) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm5_rm1_rm4)).
thf(rqRealDiff__k6_xcmplx_0__rm5_rm2_rm3, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @  (k4_xcmplx_0 @ np__2) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm5_rm2_rm3)).
thf(rqRealDiff__k6_xcmplx_0__rm5_rm3_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @  (k4_xcmplx_0 @ np__3) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm5_rm3_rm2)).
thf(rqRealDiff__k6_xcmplx_0__rm5_rm4_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @  (k4_xcmplx_0 @ np__4) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm5_rm4_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rm5_rm5_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @  (k4_xcmplx_0 @ np__5) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rm5_rm5_r0)).
thf(rqRealDiff__k6_xcmplx_0__rm5_rnm5d2_rnm5d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm5_rnm5d2_rnm5d2)).
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_r3_rnm5d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_r3_rnm5d2)).
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_rm2_rn5d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rm2_rn5d2)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d4_rn1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rn1d4_rn1d4)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_rn3d2_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rn3d2_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_rn3d4_rnm1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rn3d4_rnm1d4)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_rn5d2_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rn5d2_rm2)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_rn5d4_rnm3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rn5d4_rnm3d4)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d4_rn3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d4_rn3d4)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_rnm3d2_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @ np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rnm3d2_r2)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_rnm3d4_rn5d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rnm3d4_rn5d4)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_rnm5d2_r3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) )  @ np__3) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rnm5d2_r3)).
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_r2_rnm5d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d3_r2_rnm5d3)).
thf(rqRealDiff__k6_xcmplx_0__rn1d3_rm1_rn4d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d3_rm1_rn4d3)).
thf(rqRealDiff__k6_xcmplx_0__rn1d3_rn1d3_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d3_rn1d3_r0)).
thf(rqRealDiff__k6_xcmplx_0__rn1d3_rn2d3_rnm1d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d3_rn2d3_rnm1d3)).
thf(rqRealDiff__k6_xcmplx_0__rn1d3_rn4d3_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d3_rn4d3_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rn1d3_rnm1d3_rn2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d3_rnm1d3_rn2d3)).
thf(rqRealDiff__k6_xcmplx_0__rn1d3_rnm2d3_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d3_rnm2d3_r1)).
thf(rqRealDiff__k6_xcmplx_0__rn1d4_r0_rn1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__0) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d4_r0_rn1d4)).
thf(rqRealDiff__k6_xcmplx_0__rn1d4_r1_rnm3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d4_r1_rnm3d4)).
thf(rqRealDiff__k6_xcmplx_0__rn1d4_rm1_rn5d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d4_rm1_rn5d4)).
thf(rqRealDiff__k6_xcmplx_0__rn1d4_rn1d2_rnm1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d4_rn1d2_rnm1d4)).
thf(rqRealDiff__k6_xcmplx_0__rn1d4_rn1d4_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d4_rn1d4_r0)).
thf(rqRealDiff__k6_xcmplx_0__rn1d4_rn3d2_rnm5d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d4_rn3d2_rnm5d4)).
thf(rqRealDiff__k6_xcmplx_0__rn1d4_rn3d4_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d4_rn3d4_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__rn1d4_rn5d4_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d4_rn5d4_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rn1d4_rnm1d2_rn3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d4_rnm1d2_rn3d4)).
thf(rqRealDiff__k6_xcmplx_0__rn1d4_rnm1d4_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d4_rnm1d4_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__rn1d4_rnm3d4_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d4_rnm3d4_r1)).
thf(rqRealDiff__k6_xcmplx_0__rn1d4_rnm5d4_rn3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d4_rnm5d4_rn3d2)).
thf(rqRealDiff__k6_xcmplx_0__rn1d5_r1_rnm4d5, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__5) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__5) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d5_r1_rnm4d5)).
thf(rqRealDiff__k6_xcmplx_0__rn1d5_rn1d5_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__5) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__5) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d5_rn1d5_r0)).
thf(rqRealDiff__k6_xcmplx_0__rn1d5_rnm4d5_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__5) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__5) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d5_rnm4d5_r1)).
thf(rqRealDiff__k6_xcmplx_0__rn2d3_r0_rn2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @ np__0) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn2d3_r0_rn2d3)).
thf(rqRealDiff__k6_xcmplx_0__rn2d3_r1_rnm1d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn2d3_r1_rnm1d3)).
thf(rqRealDiff__k6_xcmplx_0__rn2d3_r2_rnm4d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn2d3_r2_rnm4d3)).
thf(rqRealDiff__k6_xcmplx_0__rn2d3_rm1_rn5d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn2d3_rm1_rn5d3)).
thf(rqRealDiff__k6_xcmplx_0__rn2d3_rn1d3_rn1d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn2d3_rn1d3_rn1d3)).
thf(rqRealDiff__k6_xcmplx_0__rn2d3_rn2d3_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rn2d3_rn2d3_r0)).
thf(rqRealDiff__k6_xcmplx_0__rn2d3_rn4d3_rnm2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn2d3_rn4d3_rnm2d3)).
thf(rqRealDiff__k6_xcmplx_0__rn2d3_rnm1d3_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rn2d3_rnm1d3_r1)).
thf(rqRealDiff__k6_xcmplx_0__rn2d3_rnm2d3_rn4d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn2d3_rnm2d3_rn4d3)).
thf(rqRealDiff__k6_xcmplx_0__rn2d5_r1_rnm3d5, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__5) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__5) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn2d5_r1_rnm3d5)).
thf(rqRealDiff__k6_xcmplx_0__rn2d5_rn2d5_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__5) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__5) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rn2d5_rn2d5_r0)).
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_r4_rnm5d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d2_r4_rnm5d2)).
thf(rqRealDiff__k6_xcmplx_0__rn3d2_rm1_rn5d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d2_rm1_rn5d2)).
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_rn1d4_rn5d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d2_rn1d4_rn5d4)).
thf(rqRealDiff__k6_xcmplx_0__rn3d2_rn3d2_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d2_rn3d2_r0)).
thf(rqRealDiff__k6_xcmplx_0__rn3d2_rn3d4_rn3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d2_rn3d4_rn3d4)).
thf(rqRealDiff__k6_xcmplx_0__rn3d2_rn5d2_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d2_rn5d2_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rn3d2_rn5d4_rn1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d2_rn5d4_rn1d4)).
thf(rqRealDiff__k6_xcmplx_0__rn3d2_rnm1d2_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @ np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d2_rnm1d2_r2)).
thf(rqRealDiff__k6_xcmplx_0__rn3d2_rnm3d2_r3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @ np__3) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d2_rnm3d2_r3)).
thf(rqRealDiff__k6_xcmplx_0__rn3d4_r0_rn3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @ np__0) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d4_r0_rn3d4)).
thf(rqRealDiff__k6_xcmplx_0__rn3d4_r1_rnm1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d4_r1_rnm1d4)).
thf(rqRealDiff__k6_xcmplx_0__rn3d4_r2_rnm5d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d4_r2_rnm5d4)).
thf(rqRealDiff__k6_xcmplx_0__rn3d4_rn1d2_rn1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d4_rn1d2_rn1d4)).
thf(rqRealDiff__k6_xcmplx_0__rn3d4_rn1d4_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d4_rn1d4_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__rn3d4_rn3d2_rnm3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d4_rn3d2_rnm3d4)).
thf(rqRealDiff__k6_xcmplx_0__rn3d4_rn3d4_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d4_rn3d4_r0)).
thf(rqRealDiff__k6_xcmplx_0__rn3d4_rn5d4_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d4_rn5d4_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__rn3d4_rnm1d2_rn5d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d4_rnm1d2_rn5d4)).
thf(rqRealDiff__k6_xcmplx_0__rn3d4_rnm1d4_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d4_rnm1d4_r1)).
thf(rqRealDiff__k6_xcmplx_0__rn3d4_rnm3d4_rn3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d4_rnm3d4_rn3d2)).
thf(rqRealDiff__k6_xcmplx_0__rn3d4_rnm5d4_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) ) )  @ np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d4_rnm5d4_r2)).
thf(rqRealDiff__k6_xcmplx_0__rn3d5_r1_rnm2d5, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__5) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d5_r1_rnm2d5)).
thf(rqRealDiff__k6_xcmplx_0__rn3d5_rn3d5_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__5) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__5) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rn3d5_rn3d5_r0)).
thf(rqRealDiff__k6_xcmplx_0__rn4d3_r0_rn4d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @ np__0) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn4d3_r0_rn4d3)).
thf(rqRealDiff__k6_xcmplx_0__rn4d3_r1_rn1d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn4d3_r1_rn1d3)).
thf(rqRealDiff__k6_xcmplx_0__rn4d3_r2_rnm2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn4d3_r2_rnm2d3)).
thf(rqRealDiff__k6_xcmplx_0__rn4d3_r3_rnm5d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn4d3_r3_rnm5d3)).
thf(rqRealDiff__k6_xcmplx_0__rn4d3_rn1d3_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rn4d3_rn1d3_r1)).
thf(rqRealDiff__k6_xcmplx_0__rn4d3_rn2d3_rn2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn4d3_rn2d3_rn2d3)).
thf(rqRealDiff__k6_xcmplx_0__rn4d3_rn4d3_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rn4d3_rn4d3_r0)).
thf(rqRealDiff__k6_xcmplx_0__rn4d3_rnm1d3_rn5d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn4d3_rnm1d3_rn5d3)).
thf(rqRealDiff__k6_xcmplx_0__rn4d5_rn4d5_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__5) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__5) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rn4d5_rn4d5_r0)).
thf(rqRealDiff__k6_xcmplx_0__rn5d2_r0_rn5d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__2) )  @ np__0) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn5d2_r0_rn5d2)).
thf(rqRealDiff__k6_xcmplx_0__rn5d2_r1_rn3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__2) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn5d2_r1_rn3d2)).
thf(rqRealDiff__k6_xcmplx_0__rn5d2_r2_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__2) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn5d2_r2_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__rn5d2_r3_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn5d2_r3_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__rn5d2_r4_rnm3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__2) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn5d2_r4_rnm3d2)).
thf(rqRealDiff__k6_xcmplx_0__rn5d2_r5_rnm5d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__2) )  @ np__5) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn5d2_r5_rnm5d2)).
thf(rqRealDiff__k6_xcmplx_0__rn5d2_rn1d2_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @ np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__rn5d2_rn1d2_r2)).
thf(rqRealDiff__k6_xcmplx_0__rn5d2_rn3d2_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rn5d2_rn3d2_r1)).
thf(rqRealDiff__k6_xcmplx_0__rn5d2_rn5d2_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rn5d2_rn5d2_r0)).
thf(rqRealDiff__k6_xcmplx_0__rn5d2_rnm1d2_r3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @ np__3) , file(arithm, rqRealDiff__k6_xcmplx_0__rn5d2_rnm1d2_r3)).
thf(rqRealDiff__k6_xcmplx_0__rn5d3_r1_rn2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__3) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn5d3_r1_rn2d3)).
thf(rqRealDiff__k6_xcmplx_0__rn5d3_rn1d3_rn4d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn5d3_rn1d3_rn4d3)).
thf(rqRealDiff__k6_xcmplx_0__rn5d3_rn2d3_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rn5d3_rn2d3_r1)).
thf(rqRealDiff__k6_xcmplx_0__rn5d3_rn5d3_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__3) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rn5d3_rn5d3_r0)).
thf(rqRealDiff__k6_xcmplx_0__rn5d4_r1_rn1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__4) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn5d4_r1_rn1d4)).
thf(rqRealDiff__k6_xcmplx_0__rn5d4_r2_rnm3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__4) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn5d4_r2_rnm3d4)).
thf(rqRealDiff__k6_xcmplx_0__rn5d4_rn1d2_rn3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn5d4_rn1d2_rn3d4)).
thf(rqRealDiff__k6_xcmplx_0__rn5d4_rn1d4_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rn5d4_rn1d4_r1)).
thf(rqRealDiff__k6_xcmplx_0__rn5d4_rn3d2_rnm1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn5d4_rn3d2_rnm1d4)).
thf(rqRealDiff__k6_xcmplx_0__rn5d4_rn5d2_rnm5d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn5d4_rn5d2_rnm5d4)).
thf(rqRealDiff__k6_xcmplx_0__rn5d4_rn5d4_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rn5d4_rn5d4_r0)).
thf(rqRealDiff__k6_xcmplx_0__rn5d4_rnm3d4_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @ np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__rn5d4_rnm3d4_r2)).
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_r2_rnm5d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_r2_rnm5d2)).
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_rm3_rn5d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  (k4_xcmplx_0 @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rm3_rn5d2)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d4_rnm3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d4_rnm3d4)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_rn3d2_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rn3d2_rm2)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_rn3d4_rnm5d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rn3d4_rnm5d4)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_rn5d2_rm3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rn5d2_rm3)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d4_rnm1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d4_rnm1d4)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d2_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d2_r1)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d4_rn1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d4_rn1d4)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm5d2_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) )  @ np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rnm5d2_r2)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d3_r0_rnm1d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @ np__0) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d3_r0_rnm1d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d3_r1_rnm4d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d3_r1_rnm4d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d3_rm1_rn2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d3_rm1_rn2d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d3_rm2_rn5d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d3_rm2_rn5d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d3_rn1d3_rnm2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d3_rn1d3_rnm2d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d3_rn2d3_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d3_rn2d3_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm1d3_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d3_rnm1d3_r0)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm2d3_rn1d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d3_rnm2d3_rn1d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d4_r0_rnm1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @ np__0) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d4_r0_rnm1d4)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d4_r1_rnm5d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d4_r1_rnm5d4)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d4_rm1_rn3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d4_rm1_rn3d4)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d4_rn1d2_rnm3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d4_rn1d2_rnm3d4)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d4_rn1d4_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d4_rn1d4_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d4_rn3d4_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d4_rn3d4_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d4_rn5d4_rnm3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d4_rn5d4_rnm3d2)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm1d2_rn1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d4_rnm1d2_rn1d4)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm1d4_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d4_rnm1d4_r0)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm3d4_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d4_rnm3d4_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm5d4_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d4_rnm5d4_r1)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d5_rm1_rn4d5, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__5) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d5_rm1_rn4d5)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d5_rnm1d5_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d5_rnm1d5_r0)).
thf(rqRealDiff__k6_xcmplx_0__rnm2d3_r1_rnm5d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm2d3_r1_rnm5d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm2d3_rm1_rn1d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm2d3_rm1_rn1d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm2d3_rm2_rn4d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm2d3_rm2_rn4d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm2d3_rn1d3_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm2d3_rn1d3_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rnm2d3_rn2d3_rnm4d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm2d3_rn2d3_rnm4d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm2d3_rn4d3_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm2d3_rn4d3_rm2)).
thf(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm1d3_rnm1d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm2d3_rnm1d3_rnm1d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm2d3_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm2d3_rnm2d3_r0)).
thf(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm4d3_rn2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm2d3_rnm4d3_rn2d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm5d3_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__3) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm2d3_rnm5d3_r1)).
thf(rqRealDiff__k6_xcmplx_0__rnm2d5_rn3d5_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__5) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm2d5_rn3d5_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rnm2d5_rnm2d5_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm2d5_rnm2d5_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_r1_rnm5d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d2_r1_rnm5d2)).
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_rn5d2_rm4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d2_rn5d2_rm4)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm1d2_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d2_rnm1d2_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm3d2_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d2_rnm3d2_r0)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm3d4_rnm3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d2_rnm3d4_rnm3d4)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm5d2_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d2_rnm5d2_r1)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d4_rm1_rn1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d4_rm1_rn1d4)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d4_rm2_rn5d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d4_rm2_rn5d4)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d4_rn1d2_rnm5d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d4_rn1d2_rnm5d4)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d4_rn1d4_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d4_rn1d4_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d4_rn3d4_rnm3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d4_rn3d4_rnm3d2)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d4_rn5d4_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d4_rn5d4_rm2)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm1d2_rnm1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d4_rnm1d2_rnm1d4)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm1d4_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d4_rnm1d4_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm3d2_rn3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d4_rnm3d2_rn3d4)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm3d4_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d4_rnm3d4_r0)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm5d4_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d4_rnm5d4_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__rnm3d5_rn2d5_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__5) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__5) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm3d5_rn2d5_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rnm4d3_rm1_rnm1d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm4d3_rm1_rnm1d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm4d3_rm2_rn2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm4d3_rm2_rn2d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm4d3_rnm1d3_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm4d3_rnm1d3_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rnm4d3_rnm2d3_rnm2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm4d3_rnm2d3_rnm2d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm4d3_rnm4d3_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm4d3_rnm4d3_r0)).
thf(rqRealDiff__k6_xcmplx_0__rnm4d5_rn1d5_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__5) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__5) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm4d5_rn1d5_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rnm4d5_rnm4d5_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__5) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__5) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm4d5_rnm4d5_r0)).
thf(rqRealDiff__k6_xcmplx_0__rnm5d2_rm1_rnm3d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm5d2_rm1_rnm3d2)).
thf(rqRealDiff__k6_xcmplx_0__rnm5d2_rm5_rn5d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) )  @  (k4_xcmplx_0 @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm5d2_rm5_rn5d2)).
thf(rqRealDiff__k6_xcmplx_0__rnm5d2_rn3d2_rm4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm5d2_rn3d2_rm4)).
thf(rqRealDiff__k6_xcmplx_0__rnm5d2_rnm1d2_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm5d2_rnm1d2_rm2)).
thf(rqRealDiff__k6_xcmplx_0__rnm5d2_rnm3d2_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm5d2_rnm3d2_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rnm5d2_rnm5d2_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm5d2_rnm5d2_r0)).
thf(rqRealDiff__k6_xcmplx_0__rnm5d3_rm1_rnm2d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__3) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm5d3_rm1_rnm2d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm5d3_rnm1d3_rnm4d3, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm5d3_rnm1d3_rnm4d3)).
thf(rqRealDiff__k6_xcmplx_0__rnm5d3_rnm2d3_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm5d3_rnm2d3_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rnm5d3_rnm5d3_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__3) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm5d3_rnm5d3_r0)).
thf(rqRealDiff__k6_xcmplx_0__rnm5d4_rm1_rnm1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm5d4_rm1_rnm1d4)).
thf(rqRealDiff__k6_xcmplx_0__rnm5d4_rn3d4_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm5d4_rn3d4_rm2)).
thf(rqRealDiff__k6_xcmplx_0__rnm5d4_rnm1d2_rnm3d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm5d4_rnm1d2_rnm3d4)).
thf(rqRealDiff__k6_xcmplx_0__rnm5d4_rnm1d4_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm5d4_rnm1d4_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rnm5d4_rnm3d2_rn1d4, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm5d4_rnm3d2_rn1d4)).
thf(rqRealDiff__k6_xcmplx_0__rnm5d4_rnm3d4_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm5d4_rnm3d4_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__rnm5d4_rnm5d4_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm5d4_rnm5d4_r0)).
thf(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @ np__1) )  @ np__1) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_r1_r1)).
thf(rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2)).
thf(rqRealDiv__k7_xcmplx_0__r1_r3_rn1d3, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_r3_rn1d3)).
thf(rqRealDiv__k7_xcmplx_0__r1_r4_rn1d4, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_r4_rn1d4)).
thf(rqRealDiv__k7_xcmplx_0__r1_r5_rn1d5, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @ np__5) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__5) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_r5_rn1d5)).
thf(rqRealDiv__k7_xcmplx_0__r1_rm1_rm1, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__1) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rm1_rm1)).
thf(rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2)).
thf(rqRealDiv__k7_xcmplx_0__r1_rm3_rnm1d3, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rm3_rnm1d3)).
thf(rqRealDiv__k7_xcmplx_0__r1_rm4_rnm1d4, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rm4_rnm1d4)).
thf(rqRealDiv__k7_xcmplx_0__r1_rm5_rnm1d5, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__5) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rm5_rnm1d5)).
thf(rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @ np__2) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2)).
thf(rqRealDiv__k7_xcmplx_0__r1_rn1d3_r3, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @ np__3) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rn1d3_r3)).
thf(rqRealDiv__k7_xcmplx_0__r1_rn1d4_r4, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @ np__4) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rn1d4_r4)).
thf(rqRealDiv__k7_xcmplx_0__r1_rn2d3_rn3d2, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rn2d3_rn3d2)).
thf(rqRealDiv__k7_xcmplx_0__r1_rn3d2_rn2d3, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rn3d2_rn2d3)).
thf(rqRealDiv__k7_xcmplx_0__r1_rn3d4_rn4d3, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rn3d4_rn4d3)).
thf(rqRealDiv__k7_xcmplx_0__r1_rn4d5_rn5d4, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__4)  @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rn4d5_rn5d4)).
thf(rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2)).
thf(rqRealDiv__k7_xcmplx_0__r1_rnm1d3_rm3, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rnm1d3_rm3)).
thf(rqRealDiv__k7_xcmplx_0__r1_rnm1d4_rm4, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rnm1d4_rm4)).
thf(rqRealDiv__k7_xcmplx_0__r1_rnm1d5_rm5, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) ) )  @  (k4_xcmplx_0 @ np__5) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rnm1d5_rm5)).
thf(rqRealDiv__k7_xcmplx_0__r1_rnm2d5_rnm5d2, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rnm2d5_rnm5d2)).
thf(rqRealDiv__k7_xcmplx_0__r1_rnm3d2_rnm2d3, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rnm3d2_rnm2d3)).
thf(rqRealDiv__k7_xcmplx_0__r1_rnm3d4_rnm4d3, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rnm3d4_rnm4d3)).
thf(rqRealDiv__k7_xcmplx_0__r1_rnm4d3_rnm3d4, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rnm4d3_rnm3d4)).
thf(rqRealDiv__k7_xcmplx_0__r1_rnm5d2_rnm2d5, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rnm5d2_rnm2d5)).
thf(rqRealDiv__k7_xcmplx_0__r1_rnm5d3_rnm3d5, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__5) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rnm5d3_rnm3d5)).
thf(rqRealDiv__k7_xcmplx_0__r2_r1_r2, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__2)  @ np__1) )  @ np__2) , file(arithm, rqRealDiv__k7_xcmplx_0__r2_r1_r2)).
thf(rqRealDiv__k7_xcmplx_0__r2_r2_r1, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__2)  @ np__2) )  @ np__1) , file(arithm, rqRealDiv__k7_xcmplx_0__r2_r2_r1)).
thf(rqRealDiv__k7_xcmplx_0__r2_r3_rn2d3, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r2_r3_rn2d3)).
thf(rqRealDiv__k7_xcmplx_0__r2_r5_rn2d5, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__2)  @ np__5) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__5) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r2_r5_rn2d5)).
thf(rqRealDiv__k7_xcmplx_0__r2_rn1d2_r4, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @ np__4) , file(arithm, rqRealDiv__k7_xcmplx_0__r2_rn1d2_r4)).
thf(rqRealDiv__k7_xcmplx_0__r3_r2_rn3d2, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r3_r2_rn3d2)).
thf(rqRealDiv__k7_xcmplx_0__r3_r3_r1, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__3)  @ np__3) )  @ np__1) , file(arithm, rqRealDiv__k7_xcmplx_0__r3_r3_r1)).
thf(rqRealDiv__k7_xcmplx_0__r3_r4_rn3d4, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r3_r4_rn3d4)).
thf(rqRealDiv__k7_xcmplx_0__r4_r2_r2, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__4)  @ np__2) )  @ np__2) , file(arithm, rqRealDiv__k7_xcmplx_0__r4_r2_r2)).
thf(rqRealDiv__k7_xcmplx_0__r4_r3_rn4d3, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r4_r3_rn4d3)).
thf(rqRealDiv__k7_xcmplx_0__r4_r4_r1, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__4)  @ np__4) )  @ np__1) , file(arithm, rqRealDiv__k7_xcmplx_0__r4_r4_r1)).
thf(rqRealDiv__k7_xcmplx_0__r4_r5_rn4d5, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__4)  @ np__5) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__5) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r4_r5_rn4d5)).
thf(rqRealDiv__k7_xcmplx_0__r5_r2_rn5d2, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__5)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r5_r2_rn5d2)).
thf(rqRealDiv__k7_xcmplx_0__r5_r4_rn5d4, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__5)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r5_r4_rn5d4)).
thf(rqRealDiv__k7_xcmplx_0__rm1_r1_rm1, axiom,  ( (= @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__1) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiv__k7_xcmplx_0__rm1_r1_rm1)).
thf(rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2, axiom,  ( (= @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2)).
thf(rqRealDiv__k7_xcmplx_0__rm2_r2_rm1, axiom,  ( (= @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiv__k7_xcmplx_0__rm2_r2_rm1)).
thf(rqRealMult__k3_xcmplx_0__r0_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @ np__0) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @ np__1) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_r1_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_r2_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @ np__2) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_r2_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_r3_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @ np__3) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_r3_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_r4_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @ np__4) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_r4_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_r5_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @ np__5) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_r5_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_rm2_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @  (k4_xcmplx_0 @ np__2) ) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_rm2_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_rm3_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @  (k4_xcmplx_0 @ np__3) ) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_rm3_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_rn1d2_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_rn1d2_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_rn1d3_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_rn1d3_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_rn1d4_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_rn1d4_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_rn1d5_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__1)  @ np__5) ) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_rn1d5_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_rn2d3_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_rn2d3_r0)).
thf(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @ np__0) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r1_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @ np__1) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__r1_r1_r1)).
thf(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @ np__2) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__r1_r2_r2)).
thf(rqRealMult__k3_xcmplx_0__r1_r3_r3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @ np__3) )  @ np__3) , file(arithm, rqRealMult__k3_xcmplx_0__r1_r3_r3)).
thf(rqRealMult__k3_xcmplx_0__r1_r4_r4, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @ np__4) )  @ np__4) , file(arithm, rqRealMult__k3_xcmplx_0__r1_r4_r4)).
thf(rqRealMult__k3_xcmplx_0__r1_r5_r5, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @ np__5) )  @ np__5) , file(arithm, rqRealMult__k3_xcmplx_0__r1_r5_r5)).
thf(rqRealMult__k3_xcmplx_0__r1_rm2_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__2) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rm2_rm2)).
thf(rqRealMult__k3_xcmplx_0__r1_rm3_rm3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__3) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rm3_rm3)).
thf(rqRealMult__k3_xcmplx_0__r1_rm4_rm4, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__4) ) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rm4_rm4)).
thf(rqRealMult__k3_xcmplx_0__r1_rm5_rm5, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__5) ) )  @  (k4_xcmplx_0 @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rm5_rm5)).
thf(rqRealMult__k3_xcmplx_0__r1_rn1d2_rn1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rn1d2_rn1d2)).
thf(rqRealMult__k3_xcmplx_0__r1_rn1d3_rn1d3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rn1d3_rn1d3)).
thf(rqRealMult__k3_xcmplx_0__r1_rn1d4_rn1d4, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rn1d4_rn1d4)).
thf(rqRealMult__k3_xcmplx_0__r1_rn1d5_rn1d5, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rn1d5_rn1d5)).
thf(rqRealMult__k3_xcmplx_0__r1_rn2d3_rn2d3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rn2d3_rn2d3)).
thf(rqRealMult__k3_xcmplx_0__r1_rn3d2_rn3d2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rn3d2_rn3d2)).
thf(rqRealMult__k3_xcmplx_0__r1_rn3d4_rn3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rn3d4_rn3d4)).
thf(rqRealMult__k3_xcmplx_0__r1_rn3d5_rn3d5, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__3)  @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rn3d5_rn3d5)).
thf(rqRealMult__k3_xcmplx_0__r1_rnm1d2_rnm1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rnm1d2_rnm1d2)).
thf(rqRealMult__k3_xcmplx_0__r1_rnm1d3_rnm1d3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rnm1d3_rnm1d3)).
thf(rqRealMult__k3_xcmplx_0__r1_rnm1d4_rnm1d4, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rnm1d4_rnm1d4)).
thf(rqRealMult__k3_xcmplx_0__r1_rnm2d3_rnm2d3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rnm2d3_rnm2d3)).
thf(rqRealMult__k3_xcmplx_0__r1_rnm3d2_rnm3d2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rnm3d2_rnm3d2)).
thf(rqRealMult__k3_xcmplx_0__r2_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @ np__0) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r2_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @ np__1) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__r2_r1_r2)).
thf(rqRealMult__k3_xcmplx_0__r2_r2_r4, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @ np__2) )  @ np__4) , file(arithm, rqRealMult__k3_xcmplx_0__r2_r2_r4)).
thf(rqRealMult__k3_xcmplx_0__r2_rm2_rm4, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @  (k4_xcmplx_0 @ np__2) ) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rm2_rm4)).
thf(rqRealMult__k3_xcmplx_0__r2_rn1d2_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rn1d2_r1)).
thf(rqRealMult__k3_xcmplx_0__r2_rn1d3_rn2d3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rn1d3_rn2d3)).
thf(rqRealMult__k3_xcmplx_0__r2_rn1d4_rn1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rn1d4_rn1d2)).
thf(rqRealMult__k3_xcmplx_0__r2_rn1d5_rn2d5, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__1)  @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rn1d5_rn2d5)).
thf(rqRealMult__k3_xcmplx_0__r2_rn2d3_rn4d3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rn2d3_rn4d3)).
thf(rqRealMult__k3_xcmplx_0__r2_rn2d5_rn4d5, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__2)  @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rn2d5_rn4d5)).
thf(rqRealMult__k3_xcmplx_0__r2_rn3d2_r3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @ np__3) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rn3d2_r3)).
thf(rqRealMult__k3_xcmplx_0__r2_rn3d4_rn3d2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rn3d4_rn3d2)).
thf(rqRealMult__k3_xcmplx_0__r2_rn5d2_r5, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) )  @ np__5) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rn5d2_r5)).
thf(rqRealMult__k3_xcmplx_0__r2_rnm1d2_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rnm1d2_rm1)).
thf(rqRealMult__k3_xcmplx_0__r2_rnm1d3_rnm2d3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rnm1d3_rnm2d3)).
thf(rqRealMult__k3_xcmplx_0__r2_rnm1d4_rnm1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rnm1d4_rnm1d2)).
thf(rqRealMult__k3_xcmplx_0__r2_rnm1d5_rnm2d5, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rnm1d5_rnm2d5)).
thf(rqRealMult__k3_xcmplx_0__r2_rnm2d3_rnm4d3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rnm2d3_rnm4d3)).
thf(rqRealMult__k3_xcmplx_0__r2_rnm3d2_rm3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rnm3d2_rm3)).
thf(rqRealMult__k3_xcmplx_0__r2_rnm5d2_rm5, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) )  @  (k4_xcmplx_0 @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rnm5d2_rm5)).
thf(rqRealMult__k3_xcmplx_0__r3_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__3)  @ np__0) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r3_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__r3_r1_r3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__3)  @ np__1) )  @ np__3) , file(arithm, rqRealMult__k3_xcmplx_0__r3_r1_r3)).
thf(rqRealMult__k3_xcmplx_0__r3_rn1d2_rn3d2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__3)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__r3_rn1d2_rn3d2)).
thf(rqRealMult__k3_xcmplx_0__r3_rn1d3_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__3)  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__r3_rn1d3_r1)).
thf(rqRealMult__k3_xcmplx_0__r3_rn1d4_rn3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__3)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__r3_rn1d4_rn3d4)).
thf(rqRealMult__k3_xcmplx_0__r3_rn1d5_rn3d5, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__3)  @  ( (k7_xcmplx_0 @ np__1)  @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__r3_rn1d5_rn3d5)).
thf(rqRealMult__k3_xcmplx_0__r3_rn2d3_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__3)  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__r3_rn2d3_r2)).
thf(rqRealMult__k3_xcmplx_0__r3_rnm1d2_rnm3d2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__3)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__r3_rnm1d2_rnm3d2)).
thf(rqRealMult__k3_xcmplx_0__r3_rnm1d3_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__3)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__r3_rnm1d3_rm1)).
thf(rqRealMult__k3_xcmplx_0__r3_rnm1d4_rnm3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__3)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__r3_rnm1d4_rnm3d4)).
thf(rqRealMult__k3_xcmplx_0__r3_rnm1d5_rnm3d5, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__3)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__r3_rnm1d5_rnm3d5)).
thf(rqRealMult__k3_xcmplx_0__r3_rnm2d3_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__3)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__r3_rnm2d3_rm2)).
thf(rqRealMult__k3_xcmplx_0__r3_rnm4d3_rm4, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__3)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__r3_rnm4d3_rm4)).
thf(rqRealMult__k3_xcmplx_0__r4_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__4)  @ np__0) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r4_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__r4_r1_r4, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__4)  @ np__1) )  @ np__4) , file(arithm, rqRealMult__k3_xcmplx_0__r4_r1_r4)).
thf(rqRealMult__k3_xcmplx_0__r4_rn1d2_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__4)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__r4_rn1d2_r2)).
thf(rqRealMult__k3_xcmplx_0__r4_rn1d3_rn4d3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__4)  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__r4_rn1d3_rn4d3)).
thf(rqRealMult__k3_xcmplx_0__r4_rn1d4_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__4)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__r4_rn1d4_r1)).
thf(rqRealMult__k3_xcmplx_0__r4_rn1d5_rn4d5, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__4)  @  ( (k7_xcmplx_0 @ np__1)  @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__r4_rn1d5_rn4d5)).
thf(rqRealMult__k3_xcmplx_0__r4_rn3d4_r3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__4)  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @ np__3) , file(arithm, rqRealMult__k3_xcmplx_0__r4_rn3d4_r3)).
thf(rqRealMult__k3_xcmplx_0__r4_rn5d4_r5, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__4)  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) )  @ np__5) , file(arithm, rqRealMult__k3_xcmplx_0__r4_rn5d4_r5)).
thf(rqRealMult__k3_xcmplx_0__r4_rnm1d2_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__4)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__r4_rnm1d2_rm2)).
thf(rqRealMult__k3_xcmplx_0__r4_rnm1d3_rnm4d3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__4)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__r4_rnm1d3_rnm4d3)).
thf(rqRealMult__k3_xcmplx_0__r4_rnm1d4_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__4)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__r4_rnm1d4_rm1)).
thf(rqRealMult__k3_xcmplx_0__r4_rnm1d5_rnm4d5, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__4)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__r4_rnm1d5_rnm4d5)).
thf(rqRealMult__k3_xcmplx_0__r4_rnm3d4_rm3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__4)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__r4_rnm3d4_rm3)).
thf(rqRealMult__k3_xcmplx_0__r5_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__5)  @ np__0) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r5_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__r5_r1_r5, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__5)  @ np__1) )  @ np__5) , file(arithm, rqRealMult__k3_xcmplx_0__r5_r1_r5)).
thf(rqRealMult__k3_xcmplx_0__r5_rn1d2_rn5d2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__5)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__r5_rn1d2_rn5d2)).
thf(rqRealMult__k3_xcmplx_0__r5_rn1d4_rn5d4, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__5)  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__r5_rn1d4_rn5d4)).
thf(rqRealMult__k3_xcmplx_0__r5_rn1d5_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__5)  @  ( (k7_xcmplx_0 @ np__1)  @ np__5) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__r5_rn1d5_r1)).
thf(rqRealMult__k3_xcmplx_0__r5_rn2d5_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__5)  @  ( (k7_xcmplx_0 @ np__2)  @ np__5) ) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__r5_rn2d5_r2)).
thf(rqRealMult__k3_xcmplx_0__r5_rn3d5_r3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__5)  @  ( (k7_xcmplx_0 @ np__3)  @ np__5) ) )  @ np__3) , file(arithm, rqRealMult__k3_xcmplx_0__r5_rn3d5_r3)).
thf(rqRealMult__k3_xcmplx_0__r5_rn4d5_r4, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__5)  @  ( (k7_xcmplx_0 @ np__4)  @ np__5) ) )  @ np__4) , file(arithm, rqRealMult__k3_xcmplx_0__r5_rn4d5_r4)).
thf(rqRealMult__k3_xcmplx_0__r5_rnm1d2_rnm5d2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__5)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__r5_rnm1d2_rnm5d2)).
thf(rqRealMult__k3_xcmplx_0__r5_rnm1d3_rnm5d3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__5)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__r5_rnm1d3_rnm5d3)).
thf(rqRealMult__k3_xcmplx_0__r5_rnm1d4_rnm5d4, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__5)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__r5_rnm1d4_rnm5d4)).
thf(rqRealMult__k3_xcmplx_0__r5_rnm1d5_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__5)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__r5_rnm1d5_rm1)).
thf(rqRealMult__k3_xcmplx_0__r5_rnm2d5_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__5)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__r5_rnm2d5_rm2)).
thf(rqRealMult__k3_xcmplx_0__r5_rnm3d5_rm3, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__5)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__5) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__r5_rnm3d5_rm3)).
thf(rqRealMult__k3_xcmplx_0__r5_rnm4d5_rm4, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__5)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__5) ) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__r5_rnm4d5_rm4)).
thf(rqRealMult__k3_xcmplx_0__rm2_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__0) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__rm2_r1_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__1) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_r1_rm2)).
thf(rqRealMult__k3_xcmplx_0__rm2_r2_rm4, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__2) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_r2_rm4)).
thf(rqRealMult__k3_xcmplx_0__rm2_rm2_r4, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) )  @ np__4) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rm2_r4)).
thf(rqRealMult__k3_xcmplx_0__rm2_rn1d2_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rn1d2_rm1)).
thf(rqRealMult__k3_xcmplx_0__rm2_rn1d3_rnm2d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rn1d3_rnm2d3)).
thf(rqRealMult__k3_xcmplx_0__rm2_rn1d4_rnm1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rn1d4_rnm1d2)).
thf(rqRealMult__k3_xcmplx_0__rm2_rn1d5_rnm2d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__5) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rn1d5_rnm2d5)).
thf(rqRealMult__k3_xcmplx_0__rm2_rn2d3_rnm4d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rn2d3_rnm4d3)).
thf(rqRealMult__k3_xcmplx_0__rm2_rn2d5_rnm4d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__5) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rn2d5_rnm4d5)).
thf(rqRealMult__k3_xcmplx_0__rm2_rn3d2_rm3, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rn3d2_rm3)).
thf(rqRealMult__k3_xcmplx_0__rm2_rn3d4_rnm3d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rn3d4_rnm3d2)).
thf(rqRealMult__k3_xcmplx_0__rm2_rn5d2_rm5, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) )  @  (k4_xcmplx_0 @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rn5d2_rm5)).
thf(rqRealMult__k3_xcmplx_0__rm2_rnm1d2_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rnm1d2_r1)).
thf(rqRealMult__k3_xcmplx_0__rm2_rnm1d3_rn2d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rnm1d3_rn2d3)).
thf(rqRealMult__k3_xcmplx_0__rm2_rnm1d4_rn1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rnm1d4_rn1d2)).
thf(rqRealMult__k3_xcmplx_0__rm2_rnm1d5_rn2d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rnm1d5_rn2d5)).
thf(rqRealMult__k3_xcmplx_0__rm2_rnm3d2_r3, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @ np__3) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rnm3d2_r3)).
thf(rqRealMult__k3_xcmplx_0__rm2_rnm5d2_r5, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) )  @ np__5) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rnm5d2_r5)).
thf(rqRealMult__k3_xcmplx_0__rm3_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__0) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__rm3_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__rm3_r1_rm3, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__1) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm3_r1_rm3)).
thf(rqRealMult__k3_xcmplx_0__rm3_rn1d2_rnm3d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm3_rn1d2_rnm3d2)).
thf(rqRealMult__k3_xcmplx_0__rm3_rn1d3_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm3_rn1d3_rm1)).
thf(rqRealMult__k3_xcmplx_0__rm3_rn1d4_rnm3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm3_rn1d4_rnm3d4)).
thf(rqRealMult__k3_xcmplx_0__rm3_rn2d3_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm3_rn2d3_rm2)).
thf(rqRealMult__k3_xcmplx_0__rm3_rnm1d2_rn3d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm3_rnm1d2_rn3d2)).
thf(rqRealMult__k3_xcmplx_0__rm3_rnm1d3_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rm3_rnm1d3_r1)).
thf(rqRealMult__k3_xcmplx_0__rm3_rnm1d4_rn3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm3_rnm1d4_rn3d4)).
thf(rqRealMult__k3_xcmplx_0__rm3_rnm1d5_rn3d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm3_rnm1d5_rn3d5)).
thf(rqRealMult__k3_xcmplx_0__rm3_rnm2d3_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__rm3_rnm2d3_r2)).
thf(rqRealMult__k3_xcmplx_0__rm3_rnm4d3_r4, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @ np__4) , file(arithm, rqRealMult__k3_xcmplx_0__rm3_rnm4d3_r4)).
thf(rqRealMult__k3_xcmplx_0__rm4_r1_rm4, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__1) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm4_r1_rm4)).
thf(rqRealMult__k3_xcmplx_0__rm4_rn1d2_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm4_rn1d2_rm2)).
thf(rqRealMult__k3_xcmplx_0__rm4_rn1d4_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm4_rn1d4_rm1)).
thf(rqRealMult__k3_xcmplx_0__rm4_rn1d5_rnm4d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__5) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm4_rn1d5_rnm4d5)).
thf(rqRealMult__k3_xcmplx_0__rm4_rn3d4_rm3, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm4_rn3d4_rm3)).
thf(rqRealMult__k3_xcmplx_0__rm4_rn5d4_rm5, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) )  @  (k4_xcmplx_0 @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm4_rn5d4_rm5)).
thf(rqRealMult__k3_xcmplx_0__rm4_rnm1d2_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__rm4_rnm1d2_r2)).
thf(rqRealMult__k3_xcmplx_0__rm4_rnm1d4_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rm4_rnm1d4_r1)).
thf(rqRealMult__k3_xcmplx_0__rm4_rnm1d5_rn4d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm4_rnm1d5_rn4d5)).
thf(rqRealMult__k3_xcmplx_0__rm4_rnm3d4_r3, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @ np__3) , file(arithm, rqRealMult__k3_xcmplx_0__rm4_rnm3d4_r3)).
thf(rqRealMult__k3_xcmplx_0__rm5_r1_rm5, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__1) )  @  (k4_xcmplx_0 @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm5_r1_rm5)).
thf(rqRealMult__k3_xcmplx_0__rm5_rn1d2_rnm5d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm5_rn1d2_rnm5d2)).
thf(rqRealMult__k3_xcmplx_0__rm5_rn1d4_rnm5d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm5_rn1d4_rnm5d4)).
thf(rqRealMult__k3_xcmplx_0__rm5_rn1d5_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__5) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm5_rn1d5_rm1)).
thf(rqRealMult__k3_xcmplx_0__rm5_rn2d5_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__5) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm5_rn2d5_rm2)).
thf(rqRealMult__k3_xcmplx_0__rm5_rn3d5_rm3, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__5) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm5_rn3d5_rm3)).
thf(rqRealMult__k3_xcmplx_0__rm5_rn4d5_rm4, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__5) ) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm5_rn4d5_rm4)).
thf(rqRealMult__k3_xcmplx_0__rm5_rnm1d2_rn5d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm5_rnm1d2_rn5d2)).
thf(rqRealMult__k3_xcmplx_0__rm5_rnm1d3_rn5d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm5_rnm1d3_rn5d3)).
thf(rqRealMult__k3_xcmplx_0__rm5_rnm1d4_rn5d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm5_rnm1d4_rn5d4)).
thf(rqRealMult__k3_xcmplx_0__rm5_rnm1d5_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rm5_rnm1d5_r1)).
thf(rqRealMult__k3_xcmplx_0__rm5_rnm2d5_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) ) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__rm5_rnm2d5_r2)).
thf(rqRealMult__k3_xcmplx_0__rm5_rnm3d5_r3, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__5) ) )  @ np__3) , file(arithm, rqRealMult__k3_xcmplx_0__rm5_rnm3d5_r3)).
thf(rqRealMult__k3_xcmplx_0__rm5_rnm4d5_r4, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__5) ) )  @ np__4) , file(arithm, rqRealMult__k3_xcmplx_0__rm5_rnm4d5_r4)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__0) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_r1_rn1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_r1_rn1d2)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_r2_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__2) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_r2_r1)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_r3_rn3d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_r3_rn3d2)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_r4_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__4) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_r4_r2)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_r5_rn5d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__5) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_r5_rn5d2)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_rm2_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_rm2_rm1)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_rm3_rnm3d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  (k4_xcmplx_0 @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_rm3_rnm3d2)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_rm4_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  (k4_xcmplx_0 @ np__4) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_rm4_rm2)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_rm5_rnm5d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  (k4_xcmplx_0 @ np__5) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_rm5_rnm5d2)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_rn1d2_rn1d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_rn1d2_rn1d4)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_rn2d3_rn1d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_rn2d3_rn1d3)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_rn3d2_rn3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_rn3d2_rn3d4)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_rnm1d2_rnm1d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_rnm1d2_rnm1d4)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_rnm2d3_rnm1d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_rnm2d3_rnm1d3)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_rnm4d3_rnm2d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_rnm4d3_rnm2d3)).
thf(rqRealMult__k3_xcmplx_0__rn1d3_r1_rn1d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d3_r1_rn1d3)).
thf(rqRealMult__k3_xcmplx_0__rn1d3_r2_rn2d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d3_r2_rn2d3)).
thf(rqRealMult__k3_xcmplx_0__rn1d3_r3_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @ np__3) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d3_r3_r1)).
thf(rqRealMult__k3_xcmplx_0__rn1d3_r4_rn4d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d3_r4_rn4d3)).
thf(rqRealMult__k3_xcmplx_0__rn1d3_rm2_rnm2d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d3_rm2_rnm2d3)).
thf(rqRealMult__k3_xcmplx_0__rn1d3_rm3_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  (k4_xcmplx_0 @ np__3) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d3_rm3_rm1)).
thf(rqRealMult__k3_xcmplx_0__rn1d3_rn3d2_rn1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d3_rn3d2_rn1d2)).
thf(rqRealMult__k3_xcmplx_0__rn1d3_rn3d4_rn1d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d3_rn3d4_rn1d4)).
thf(rqRealMult__k3_xcmplx_0__rn1d3_rnm3d2_rnm1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d3_rnm3d2_rnm1d2)).
thf(rqRealMult__k3_xcmplx_0__rn1d4_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__0) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d4_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__rn1d4_r1_rn1d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d4_r1_rn1d4)).
thf(rqRealMult__k3_xcmplx_0__rn1d4_r2_rn1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d4_r2_rn1d2)).
thf(rqRealMult__k3_xcmplx_0__rn1d4_r3_rn3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d4_r3_rn3d4)).
thf(rqRealMult__k3_xcmplx_0__rn1d4_r4_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__4) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d4_r4_r1)).
thf(rqRealMult__k3_xcmplx_0__rn1d4_r5_rn5d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @ np__5) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d4_r5_rn5d4)).
thf(rqRealMult__k3_xcmplx_0__rn1d4_rm2_rnm1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d4_rm2_rnm1d2)).
thf(rqRealMult__k3_xcmplx_0__rn1d4_rm3_rnm3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  (k4_xcmplx_0 @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d4_rm3_rnm3d4)).
thf(rqRealMult__k3_xcmplx_0__rn1d4_rm4_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  (k4_xcmplx_0 @ np__4) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d4_rm4_rm1)).
thf(rqRealMult__k3_xcmplx_0__rn1d4_rm5_rnm5d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  (k4_xcmplx_0 @ np__5) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d4_rm5_rnm5d4)).
thf(rqRealMult__k3_xcmplx_0__rn1d4_rnm4d3_rnm1d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d4_rnm4d3_rnm1d3)).
thf(rqRealMult__k3_xcmplx_0__rn1d5_r1_rn1d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__5) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d5_r1_rn1d5)).
thf(rqRealMult__k3_xcmplx_0__rn1d5_r2_rn2d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__5) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d5_r2_rn2d5)).
thf(rqRealMult__k3_xcmplx_0__rn1d5_r3_rn3d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__5) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d5_r3_rn3d5)).
thf(rqRealMult__k3_xcmplx_0__rn1d5_r4_rn4d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__5) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d5_r4_rn4d5)).
thf(rqRealMult__k3_xcmplx_0__rn1d5_r5_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__5) )  @ np__5) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d5_r5_r1)).
thf(rqRealMult__k3_xcmplx_0__rn1d5_rm2_rnm2d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__5) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d5_rm2_rnm2d5)).
thf(rqRealMult__k3_xcmplx_0__rn1d5_rm5_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__5) )  @  (k4_xcmplx_0 @ np__5) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d5_rm5_rm1)).
thf(rqRealMult__k3_xcmplx_0__rn2d3_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @ np__0) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__rn2d3_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__rn2d3_r1_rn2d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn2d3_r1_rn2d3)).
thf(rqRealMult__k3_xcmplx_0__rn2d3_r2_rn4d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn2d3_r2_rn4d3)).
thf(rqRealMult__k3_xcmplx_0__rn2d3_r3_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @ np__3) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__rn2d3_r3_r2)).
thf(rqRealMult__k3_xcmplx_0__rn2d3_rm3_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  (k4_xcmplx_0 @ np__3) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn2d3_rm3_rm2)).
thf(rqRealMult__k3_xcmplx_0__rn2d3_rn1d2_rn1d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn2d3_rn1d2_rn1d3)).
thf(rqRealMult__k3_xcmplx_0__rn2d3_rn3d2_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rn2d3_rn3d2_r1)).
thf(rqRealMult__k3_xcmplx_0__rn2d3_rn3d4_rn1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn2d3_rn3d4_rn1d2)).
thf(rqRealMult__k3_xcmplx_0__rn2d3_rnm1d2_rnm1d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn2d3_rnm1d2_rnm1d3)).
thf(rqRealMult__k3_xcmplx_0__rn2d3_rnm3d2_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn2d3_rnm3d2_rm1)).
thf(rqRealMult__k3_xcmplx_0__rn2d5_r1_rn2d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__5) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn2d5_r1_rn2d5)).
thf(rqRealMult__k3_xcmplx_0__rn2d5_r2_rn4d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__5) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn2d5_r2_rn4d5)).
thf(rqRealMult__k3_xcmplx_0__rn3d2_r1_rn3d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d2_r1_rn3d2)).
thf(rqRealMult__k3_xcmplx_0__rn3d2_r2_r3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @ np__2) )  @ np__3) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d2_r2_r3)).
thf(rqRealMult__k3_xcmplx_0__rn3d2_rm2_rm3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d2_rm2_rm3)).
thf(rqRealMult__k3_xcmplx_0__rn3d2_rn1d2_rn3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d2_rn1d2_rn3d4)).
thf(rqRealMult__k3_xcmplx_0__rn3d2_rn1d3_rn1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d2_rn1d3_rn1d2)).
thf(rqRealMult__k3_xcmplx_0__rn3d2_rn2d3_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d2_rn2d3_r1)).
thf(rqRealMult__k3_xcmplx_0__rn3d2_rn4d3_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d2_rn4d3_r2)).
thf(rqRealMult__k3_xcmplx_0__rn3d2_rnm1d2_rnm3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d2_rnm1d2_rnm3d4)).
thf(rqRealMult__k3_xcmplx_0__rn3d2_rnm1d3_rnm1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d2_rnm1d3_rnm1d2)).
thf(rqRealMult__k3_xcmplx_0__rn3d2_rnm2d3_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d2_rnm2d3_rm1)).
thf(rqRealMult__k3_xcmplx_0__rn3d2_rnm4d3_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d2_rnm4d3_rm2)).
thf(rqRealMult__k3_xcmplx_0__rn3d4_r1_rn3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d4_r1_rn3d4)).
thf(rqRealMult__k3_xcmplx_0__rn3d4_r2_rn3d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d4_r2_rn3d2)).
thf(rqRealMult__k3_xcmplx_0__rn3d4_r4_r3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @ np__4) )  @ np__3) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d4_r4_r3)).
thf(rqRealMult__k3_xcmplx_0__rn3d4_rm2_rnm3d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d4_rm2_rnm3d2)).
thf(rqRealMult__k3_xcmplx_0__rn3d4_rm4_rm3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  (k4_xcmplx_0 @ np__4) ) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d4_rm4_rm3)).
thf(rqRealMult__k3_xcmplx_0__rn3d4_rn4d3_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d4_rn4d3_r1)).
thf(rqRealMult__k3_xcmplx_0__rn3d4_rnm4d3_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d4_rnm4d3_rm1)).
thf(rqRealMult__k3_xcmplx_0__rn3d5_r1_rn3d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__5) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn3d5_r1_rn3d5)).
thf(rqRealMult__k3_xcmplx_0__rn4d3_r1_rn4d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn4d3_r1_rn4d3)).
thf(rqRealMult__k3_xcmplx_0__rn4d3_r3_r4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @ np__3) )  @ np__4) , file(arithm, rqRealMult__k3_xcmplx_0__rn4d3_r3_r4)).
thf(rqRealMult__k3_xcmplx_0__rn4d3_rn1d2_rn2d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn4d3_rn1d2_rn2d3)).
thf(rqRealMult__k3_xcmplx_0__rn4d3_rn3d2_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__rn4d3_rn3d2_r2)).
thf(rqRealMult__k3_xcmplx_0__rn4d3_rn3d4_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rn4d3_rn3d4_r1)).
thf(rqRealMult__k3_xcmplx_0__rn4d3_rnm1d2_rnm2d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn4d3_rnm1d2_rnm2d3)).
thf(rqRealMult__k3_xcmplx_0__rn4d3_rnm1d4_rnm1d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn4d3_rnm1d4_rnm1d3)).
thf(rqRealMult__k3_xcmplx_0__rn4d3_rnm3d2_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn4d3_rnm3d2_rm2)).
thf(rqRealMult__k3_xcmplx_0__rn4d3_rnm3d4_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn4d3_rnm3d4_rm1)).
thf(rqRealMult__k3_xcmplx_0__rn4d5_r1_rn4d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__5) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn4d5_r1_rn4d5)).
thf(rqRealMult__k3_xcmplx_0__rn4d5_rm5_rm4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__5) )  @  (k4_xcmplx_0 @ np__5) ) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn4d5_rm5_rm4)).
thf(rqRealMult__k3_xcmplx_0__rn5d2_r1_rn5d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__2) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn5d2_r1_rn5d2)).
thf(rqRealMult__k3_xcmplx_0__rn5d2_r2_r5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__2) )  @ np__2) )  @ np__5) , file(arithm, rqRealMult__k3_xcmplx_0__rn5d2_r2_r5)).
thf(rqRealMult__k3_xcmplx_0__rn5d2_rn1d2_rn5d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn5d2_rn1d2_rn5d4)).
thf(rqRealMult__k3_xcmplx_0__rn5d2_rn1d5_rn1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn5d2_rn1d5_rn1d2)).
thf(rqRealMult__k3_xcmplx_0__rn5d2_rnm1d2_rnm5d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn5d2_rnm1d2_rnm5d4)).
thf(rqRealMult__k3_xcmplx_0__rn5d2_rnm2d5_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn5d2_rnm2d5_rm1)).
thf(rqRealMult__k3_xcmplx_0__rn5d3_r1_rn5d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__3) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn5d3_r1_rn5d3)).
thf(rqRealMult__k3_xcmplx_0__rn5d3_r3_r5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__3) )  @ np__3) )  @ np__5) , file(arithm, rqRealMult__k3_xcmplx_0__rn5d3_r3_r5)).
thf(rqRealMult__k3_xcmplx_0__rn5d3_rn3d2_rn5d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__3) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn5d3_rn3d2_rn5d2)).
thf(rqRealMult__k3_xcmplx_0__rn5d4_r1_rn5d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__4) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn5d4_r1_rn5d4)).
thf(rqRealMult__k3_xcmplx_0__rn5d4_rn4d5_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__4) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__5) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rn5d4_rn4d5_r1)).
thf(rqRealMult__k3_xcmplx_0__rn5d4_rnm1d5_rnm1d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn5d4_rnm1d5_rnm1d4)).
thf(rqRealMult__k3_xcmplx_0__rn5d4_rnm2d5_rnm1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn5d4_rnm2d5_rnm1d2)).
thf(rqRealMult__k3_xcmplx_0__rn5d4_rnm4d3_rnm5d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn5d4_rnm4d3_rnm5d3)).
thf(rqRealMult__k3_xcmplx_0__rnm1d2_r1_rnm1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_r1_rnm1d2)).
thf(rqRealMult__k3_xcmplx_0__rnm1d2_r2_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_r2_rm1)).
thf(rqRealMult__k3_xcmplx_0__rnm1d2_r3_rnm3d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_r3_rnm3d2)).
thf(rqRealMult__k3_xcmplx_0__rnm1d2_r4_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__4) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_r4_rm2)).
thf(rqRealMult__k3_xcmplx_0__rnm1d2_r5_rnm5d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__5) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_r5_rnm5d2)).
thf(rqRealMult__k3_xcmplx_0__rnm1d2_rm2_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_rm2_r1)).
thf(rqRealMult__k3_xcmplx_0__rnm1d2_rm3_rn3d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  (k4_xcmplx_0 @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_rm3_rn3d2)).
thf(rqRealMult__k3_xcmplx_0__rnm1d2_rm4_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  (k4_xcmplx_0 @ np__4) ) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_rm4_r2)).
thf(rqRealMult__k3_xcmplx_0__rnm1d2_rm5_rn5d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  (k4_xcmplx_0 @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_rm5_rn5d2)).
thf(rqRealMult__k3_xcmplx_0__rnm1d2_rn1d2_rnm1d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_rn1d2_rnm1d4)).
thf(rqRealMult__k3_xcmplx_0__rnm1d2_rn2d3_rnm1d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_rn2d3_rnm1d3)).
thf(rqRealMult__k3_xcmplx_0__rnm1d2_rn2d5_rnm1d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__5) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_rn2d5_rnm1d5)).
thf(rqRealMult__k3_xcmplx_0__rnm1d2_rnm1d2_rn1d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_rnm1d2_rn1d4)).
thf(rqRealMult__k3_xcmplx_0__rnm1d2_rnm2d5_rn1d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_rnm2d5_rn1d5)).
thf(rqRealMult__k3_xcmplx_0__rnm1d2_rnm3d2_rn3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_rnm3d2_rn3d4)).
thf(rqRealMult__k3_xcmplx_0__rnm1d2_rnm4d3_rn2d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_rnm4d3_rn2d3)).
thf(rqRealMult__k3_xcmplx_0__rnm1d3_r1_rnm1d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d3_r1_rnm1d3)).
thf(rqRealMult__k3_xcmplx_0__rnm1d3_r2_rnm2d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d3_r2_rnm2d3)).
thf(rqRealMult__k3_xcmplx_0__rnm1d3_r3_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @ np__3) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d3_r3_rm1)).
thf(rqRealMult__k3_xcmplx_0__rnm1d3_rm2_rn2d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d3_rm2_rn2d3)).
thf(rqRealMult__k3_xcmplx_0__rnm1d3_rm3_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  (k4_xcmplx_0 @ np__3) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d3_rm3_r1)).
thf(rqRealMult__k3_xcmplx_0__rnm1d3_rn3d2_rnm1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d3_rn3d2_rnm1d2)).
thf(rqRealMult__k3_xcmplx_0__rnm1d3_rn3d4_rnm1d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d3_rn3d4_rnm1d4)).
thf(rqRealMult__k3_xcmplx_0__rnm1d3_rnm3d2_rn1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d3_rnm3d2_rn1d2)).
thf(rqRealMult__k3_xcmplx_0__rnm1d3_rnm3d4_rn1d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d3_rnm3d4_rn1d4)).
thf(rqRealMult__k3_xcmplx_0__rnm1d4_r1_rnm1d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d4_r1_rnm1d4)).
thf(rqRealMult__k3_xcmplx_0__rnm1d4_r2_rnm1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d4_r2_rnm1d2)).
thf(rqRealMult__k3_xcmplx_0__rnm1d4_r3_rnm3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d4_r3_rnm3d4)).
thf(rqRealMult__k3_xcmplx_0__rnm1d4_r4_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @ np__4) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d4_r4_rm1)).
thf(rqRealMult__k3_xcmplx_0__rnm1d4_rm2_rn1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d4_rm2_rn1d2)).
thf(rqRealMult__k3_xcmplx_0__rnm1d4_rm3_rn3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  (k4_xcmplx_0 @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d4_rm3_rn3d4)).
thf(rqRealMult__k3_xcmplx_0__rnm1d4_rm4_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  (k4_xcmplx_0 @ np__4) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d4_rm4_r1)).
thf(rqRealMult__k3_xcmplx_0__rnm1d4_rm5_rn5d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  (k4_xcmplx_0 @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d4_rm5_rn5d4)).
thf(rqRealMult__k3_xcmplx_0__rnm1d4_rnm4d3_rn1d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d4_rnm4d3_rn1d3)).
thf(rqRealMult__k3_xcmplx_0__rnm1d5_r1_rnm1d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d5_r1_rnm1d5)).
thf(rqRealMult__k3_xcmplx_0__rnm1d5_r2_rnm2d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d5_r2_rnm2d5)).
thf(rqRealMult__k3_xcmplx_0__rnm1d5_r3_rnm3d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d5_r3_rnm3d5)).
thf(rqRealMult__k3_xcmplx_0__rnm1d5_r4_rnm4d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d5_r4_rnm4d5)).
thf(rqRealMult__k3_xcmplx_0__rnm1d5_r5_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) )  @ np__5) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d5_r5_rm1)).
thf(rqRealMult__k3_xcmplx_0__rnm1d5_rm2_rn2d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d5_rm2_rn2d5)).
thf(rqRealMult__k3_xcmplx_0__rnm1d5_rm3_rn3d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) )  @  (k4_xcmplx_0 @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d5_rm3_rn3d5)).
thf(rqRealMult__k3_xcmplx_0__rnm1d5_rm4_rn4d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) )  @  (k4_xcmplx_0 @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d5_rm4_rn4d5)).
thf(rqRealMult__k3_xcmplx_0__rnm1d5_rm5_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) )  @  (k4_xcmplx_0 @ np__5) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d5_rm5_r1)).
thf(rqRealMult__k3_xcmplx_0__rnm1d5_rn5d4_rnm1d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d5_rn5d4_rnm1d4)).
thf(rqRealMult__k3_xcmplx_0__rnm2d3_r1_rnm2d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d3_r1_rnm2d3)).
thf(rqRealMult__k3_xcmplx_0__rnm2d3_r2_rnm4d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d3_r2_rnm4d3)).
thf(rqRealMult__k3_xcmplx_0__rnm2d3_r3_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @ np__3) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d3_r3_rm2)).
thf(rqRealMult__k3_xcmplx_0__rnm2d3_rm2_rn4d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d3_rm2_rn4d3)).
thf(rqRealMult__k3_xcmplx_0__rnm2d3_rm3_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  (k4_xcmplx_0 @ np__3) ) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d3_rm3_r2)).
thf(rqRealMult__k3_xcmplx_0__rnm2d3_rn1d2_rnm1d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d3_rn1d2_rnm1d3)).
thf(rqRealMult__k3_xcmplx_0__rnm2d3_rn3d2_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d3_rn3d2_rm1)).
thf(rqRealMult__k3_xcmplx_0__rnm2d3_rn3d4_rnm1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d3_rn3d4_rnm1d2)).
thf(rqRealMult__k3_xcmplx_0__rnm2d3_rnm1d2_rn1d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d3_rnm1d2_rn1d3)).
thf(rqRealMult__k3_xcmplx_0__rnm2d3_rnm3d2_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d3_rnm3d2_r1)).
thf(rqRealMult__k3_xcmplx_0__rnm2d3_rnm3d4_rn1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d3_rnm3d4_rn1d2)).
thf(rqRealMult__k3_xcmplx_0__rnm2d5_r1_rnm2d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d5_r1_rnm2d5)).
thf(rqRealMult__k3_xcmplx_0__rnm2d5_rm2_rn4d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d5_rm2_rn4d5)).
thf(rqRealMult__k3_xcmplx_0__rnm2d5_rm5_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) )  @  (k4_xcmplx_0 @ np__5) ) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d5_rm5_r2)).
thf(rqRealMult__k3_xcmplx_0__rnm2d5_rn1d2_rnm1d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d5_rn1d2_rnm1d5)).
thf(rqRealMult__k3_xcmplx_0__rnm2d5_rn5d2_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d5_rn5d2_rm1)).
thf(rqRealMult__k3_xcmplx_0__rnm2d5_rnm1d2_rn1d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d5_rnm1d2_rn1d5)).
thf(rqRealMult__k3_xcmplx_0__rnm2d5_rnm5d2_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rnm2d5_rnm5d2_r1)).
thf(rqRealMult__k3_xcmplx_0__rnm3d2_r1_rnm3d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d2_r1_rnm3d2)).
thf(rqRealMult__k3_xcmplx_0__rnm3d2_r2_rm3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @ np__2) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d2_r2_rm3)).
thf(rqRealMult__k3_xcmplx_0__rnm3d2_rm2_r3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) )  @ np__3) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d2_rm2_r3)).
thf(rqRealMult__k3_xcmplx_0__rnm3d2_rn1d2_rnm3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d2_rn1d2_rnm3d4)).
thf(rqRealMult__k3_xcmplx_0__rnm3d2_rn1d3_rnm1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d2_rn1d3_rnm1d2)).
thf(rqRealMult__k3_xcmplx_0__rnm3d2_rn2d3_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d2_rn2d3_rm1)).
thf(rqRealMult__k3_xcmplx_0__rnm3d2_rn4d3_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d2_rn4d3_rm2)).
thf(rqRealMult__k3_xcmplx_0__rnm3d2_rnm1d2_rn3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d2_rnm1d2_rn3d4)).
thf(rqRealMult__k3_xcmplx_0__rnm3d2_rnm1d3_rn1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d2_rnm1d3_rn1d2)).
thf(rqRealMult__k3_xcmplx_0__rnm3d2_rnm2d3_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d2_rnm2d3_r1)).
thf(rqRealMult__k3_xcmplx_0__rnm3d2_rnm2d5_rn3d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d2_rnm2d5_rn3d5)).
thf(rqRealMult__k3_xcmplx_0__rnm3d2_rnm4d3_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d2_rnm4d3_r2)).
thf(rqRealMult__k3_xcmplx_0__rnm3d4_r1_rnm3d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d4_r1_rnm3d4)).
thf(rqRealMult__k3_xcmplx_0__rnm3d4_r2_rnm3d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d4_r2_rnm3d2)).
thf(rqRealMult__k3_xcmplx_0__rnm3d4_r4_rm3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @ np__4) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d4_r4_rm3)).
thf(rqRealMult__k3_xcmplx_0__rnm3d4_rm2_rn3d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d4_rm2_rn3d2)).
thf(rqRealMult__k3_xcmplx_0__rnm3d4_rm4_r3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  (k4_xcmplx_0 @ np__4) ) )  @ np__3) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d4_rm4_r3)).
thf(rqRealMult__k3_xcmplx_0__rnm3d4_rn1d3_rnm1d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d4_rn1d3_rnm1d4)).
thf(rqRealMult__k3_xcmplx_0__rnm3d4_rn2d3_rnm1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d4_rn2d3_rnm1d2)).
thf(rqRealMult__k3_xcmplx_0__rnm3d4_rn4d3_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d4_rn4d3_rm1)).
thf(rqRealMult__k3_xcmplx_0__rnm3d4_rnm1d3_rn1d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d4_rnm1d3_rn1d4)).
thf(rqRealMult__k3_xcmplx_0__rnm3d4_rnm4d3_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d4_rnm4d3_r1)).
thf(rqRealMult__k3_xcmplx_0__rnm3d5_rn1d3_rnm1d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__5) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d5_rn1d3_rnm1d5)).
thf(rqRealMult__k3_xcmplx_0__rnm3d5_rn2d3_rnm2d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__5) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d5_rn2d3_rnm2d5)).
thf(rqRealMult__k3_xcmplx_0__rnm3d5_rnm5d3_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__5) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__3) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rnm3d5_rnm5d3_r1)).
thf(rqRealMult__k3_xcmplx_0__rnm4d3_r1_rnm4d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm4d3_r1_rnm4d3)).
thf(rqRealMult__k3_xcmplx_0__rnm4d3_r3_rm4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) )  @ np__3) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm4d3_r3_rm4)).
thf(rqRealMult__k3_xcmplx_0__rnm4d3_rn1d2_rnm2d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm4d3_rn1d2_rnm2d3)).
thf(rqRealMult__k3_xcmplx_0__rnm4d3_rn3d2_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm4d3_rn3d2_rm2)).
thf(rqRealMult__k3_xcmplx_0__rnm4d3_rnm1d2_rn2d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm4d3_rnm1d2_rn2d3)).
thf(rqRealMult__k3_xcmplx_0__rnm4d3_rnm1d4_rn1d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm4d3_rnm1d4_rn1d3)).
thf(rqRealMult__k3_xcmplx_0__rnm4d3_rnm3d2_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__rnm4d3_rnm3d2_r2)).
thf(rqRealMult__k3_xcmplx_0__rnm4d3_rnm3d4_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rnm4d3_rnm3d4_r1)).
thf(rqRealMult__k3_xcmplx_0__rnm4d5_r1_rnm4d5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__5) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm4d5_r1_rnm4d5)).
thf(rqRealMult__k3_xcmplx_0__rnm4d5_rm5_r4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__5) )  @  (k4_xcmplx_0 @ np__5) ) )  @ np__4) , file(arithm, rqRealMult__k3_xcmplx_0__rnm4d5_rm5_r4)).
thf(rqRealMult__k3_xcmplx_0__rnm5d2_r1_rnm5d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm5d2_r1_rnm5d2)).
thf(rqRealMult__k3_xcmplx_0__rnm5d2_r2_rm5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) )  @ np__2) )  @  (k4_xcmplx_0 @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm5d2_r2_rm5)).
thf(rqRealMult__k3_xcmplx_0__rnm5d2_rn1d2_rnm5d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm5d2_rn1d2_rnm5d4)).
thf(rqRealMult__k3_xcmplx_0__rnm5d2_rn1d5_rnm1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__5) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm5d2_rn1d5_rnm1d2)).
thf(rqRealMult__k3_xcmplx_0__rnm5d2_rn2d5_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__5) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm5d2_rn2d5_rm1)).
thf(rqRealMult__k3_xcmplx_0__rnm5d2_rnm1d2_rn5d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm5d2_rnm1d2_rn5d4)).
thf(rqRealMult__k3_xcmplx_0__rnm5d2_rnm1d5_rn1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm5d2_rnm1d5_rn1d2)).
thf(rqRealMult__k3_xcmplx_0__rnm5d2_rnm2d5_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rnm5d2_rnm2d5_r1)).
thf(rqRealMult__k3_xcmplx_0__rnm5d4_r1_rnm5d4, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm5d4_r1_rnm5d4)).
thf(rqRealMult__k3_xcmplx_0__rnm5d4_r2_rnm5d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm5d4_r2_rnm5d2)).
thf(rqRealMult__k3_xcmplx_0__rnm5d4_r4_rm5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) )  @ np__4) )  @  (k4_xcmplx_0 @ np__5) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm5d4_r4_rm5)).
thf(rqRealMult__k3_xcmplx_0__rnm5d4_rm4_r5, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) )  @  (k4_xcmplx_0 @ np__4) ) )  @ np__5) , file(arithm, rqRealMult__k3_xcmplx_0__rnm5d4_rm4_r5)).
thf(rqRealMult__k3_xcmplx_0__rnm5d4_rnm4d3_rn5d3, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__3) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm5d4_rnm4d3_rn5d3)).
thf(rqRealNeg__k4_xcmplx_0__r0_r0, axiom,  ( (= @  (k4_xcmplx_0 @ np__0) )  @ np__0) , file(arithm, rqRealNeg__k4_xcmplx_0__r0_r0)).
thf(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom,  ( (= @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealNeg__k4_xcmplx_0__r1_rm1)).
thf(rqRealNeg__k4_xcmplx_0__r2_rm2, axiom,  ( (= @  (k4_xcmplx_0 @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealNeg__k4_xcmplx_0__r2_rm2)).
thf(rqRealNeg__k4_xcmplx_0__r3_rm3, axiom,  ( (= @  (k4_xcmplx_0 @ np__3) )  @  (k4_xcmplx_0 @ np__3) ) , file(arithm, rqRealNeg__k4_xcmplx_0__r3_rm3)).
thf(rqRealNeg__k4_xcmplx_0__r4_rm4, axiom,  ( (= @  (k4_xcmplx_0 @ np__4) )  @  (k4_xcmplx_0 @ np__4) ) , file(arithm, rqRealNeg__k4_xcmplx_0__r4_rm4)).
thf(rqRealNeg__k4_xcmplx_0__r5_rm5, axiom,  ( (= @  (k4_xcmplx_0 @ np__5) )  @  (k4_xcmplx_0 @ np__5) ) , file(arithm, rqRealNeg__k4_xcmplx_0__r5_rm5)).
thf(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom,  ( (= @  (k4_xcmplx_0 @  (k4_xcmplx_0 @ np__1) ) )  @ np__1) , file(arithm, rqRealNeg__k4_xcmplx_0__rm1_r1)).
thf(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom,  ( (= @  (k4_xcmplx_0 @  (k4_xcmplx_0 @ np__2) ) )  @ np__2) , file(arithm, rqRealNeg__k4_xcmplx_0__rm2_r2)).
thf(rqRealNeg__k4_xcmplx_0__rm3_r3, axiom,  ( (= @  (k4_xcmplx_0 @  (k4_xcmplx_0 @ np__3) ) )  @ np__3) , file(arithm, rqRealNeg__k4_xcmplx_0__rm3_r3)).
thf(rqRealNeg__k4_xcmplx_0__rm4_r4, axiom,  ( (= @  (k4_xcmplx_0 @  (k4_xcmplx_0 @ np__4) ) )  @ np__4) , file(arithm, rqRealNeg__k4_xcmplx_0__rm4_r4)).
thf(rqRealNeg__k4_xcmplx_0__rm5_r5, axiom,  ( (= @  (k4_xcmplx_0 @  (k4_xcmplx_0 @ np__5) ) )  @ np__5) , file(arithm, rqRealNeg__k4_xcmplx_0__rm5_r5)).
thf(rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2)).
thf(rqRealNeg__k4_xcmplx_0__rn1d3_rnm1d3, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rn1d3_rnm1d3)).
thf(rqRealNeg__k4_xcmplx_0__rn1d4_rnm1d4, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rn1d4_rnm1d4)).
thf(rqRealNeg__k4_xcmplx_0__rn1d5_rnm1d5, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__5) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rn1d5_rnm1d5)).
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__rn2d5_rnm2d5, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @ np__2)  @ np__5) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rn2d5_rnm2d5)).
thf(rqRealNeg__k4_xcmplx_0__rn3d2_rnm3d2, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rn3d2_rnm3d2)).
thf(rqRealNeg__k4_xcmplx_0__rn3d4_rnm3d4, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rn3d4_rnm3d4)).
thf(rqRealNeg__k4_xcmplx_0__rn3d5_rnm3d5, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @ np__3)  @ np__5) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__5) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rn3d5_rnm3d5)).
thf(rqRealNeg__k4_xcmplx_0__rn4d3_rnm4d3, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rn4d3_rnm4d3)).
thf(rqRealNeg__k4_xcmplx_0__rn4d5_rnm4d5, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @ np__4)  @ np__5) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__5) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rn4d5_rnm4d5)).
thf(rqRealNeg__k4_xcmplx_0__rn5d2_rnm5d2, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rn5d2_rnm5d2)).
thf(rqRealNeg__k4_xcmplx_0__rn5d3_rnm5d3, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__3) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__3) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rn5d3_rnm5d3)).
thf(rqRealNeg__k4_xcmplx_0__rn5d4_rnm5d4, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rn5d4_rnm5d4)).
thf(rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2)).
thf(rqRealNeg__k4_xcmplx_0__rnm1d3_rn1d3, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__3) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rnm1d3_rn1d3)).
thf(rqRealNeg__k4_xcmplx_0__rnm1d4_rn1d4, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__4) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rnm1d4_rn1d4)).
thf(rqRealNeg__k4_xcmplx_0__rnm1d5_rn1d5, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__5) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rnm1d5_rn1d5)).
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__rnm2d5_rn2d5, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__2)  @ np__5) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rnm2d5_rn2d5)).
thf(rqRealNeg__k4_xcmplx_0__rnm3d2_rn3d2, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__2) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rnm3d2_rn3d2)).
thf(rqRealNeg__k4_xcmplx_0__rnm3d4_rn3d4, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__4) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rnm3d4_rn3d4)).
thf(rqRealNeg__k4_xcmplx_0__rnm3d5_rn3d5, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__3) )  @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__3)  @ np__5) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rnm3d5_rn3d5)).
thf(rqRealNeg__k4_xcmplx_0__rnm4d3_rn4d3, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__3) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rnm4d3_rn4d3)).
thf(rqRealNeg__k4_xcmplx_0__rnm4d5_rn4d5, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__4) )  @ np__5) ) )  @  ( (k7_xcmplx_0 @ np__4)  @ np__5) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rnm4d5_rn4d5)).
thf(rqRealNeg__k4_xcmplx_0__rnm5d2_rn5d2, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__2) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rnm5d2_rn5d2)).
thf(rqRealNeg__k4_xcmplx_0__rnm5d3_rn5d3, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__3) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__3) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rnm5d3_rn5d3)).
thf(rqRealNeg__k4_xcmplx_0__rnm5d4_rn5d4, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__5) )  @ np__4) ) )  @  ( (k7_xcmplx_0 @ np__5)  @ np__4) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rnm5d4_rn5d4)).
thf(spc0_boole, axiom,  (v1_xboole_0 @ np__0) , file(boole, spc0_boole)).
thf(spc0_numerals, axiom,  ( ( ( (m2_subset_1 @ np__0)  @ k1_numbers)  @ k5_numbers)  &  ( ( (m1_subset_1 @ np__0)  @ k5_numbers)  &  ( (m1_subset_1 @ np__0)  @ k1_numbers) ) ) , file(numerals, spc0_numerals)).
thf(spc1_arithm, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  ( (= @  ( (k2_xcmplx_0 @ A)  @  (k4_xcmplx_0 @ B) ) )  @  ( (k6_xcmplx_0 @ A)  @ B) ) ) ) , file(arithm, spc1_arithm)).
thf(spc1_boole, axiom,  ~ ( (v1_xboole_0 @ np__1) ) , file(boole, spc1_boole)).
thf(spc1_numerals, axiom,  ( ( (v2_xxreal_0 @ np__1)  &  ( ( (m2_subset_1 @ np__1)  @ k1_numbers)  @ k5_numbers) )  &  ( ( (m1_subset_1 @ np__1)  @ k5_numbers)  &  ( (m1_subset_1 @ np__1)  @ k1_numbers) ) ) , file(numerals, spc1_numerals)).
thf(spc2_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k3_xcmplx_0 @ A)  @  (k4_xcmplx_0 @ np__1) ) )  @  (k4_xcmplx_0 @ A) ) ) ) , file(arithm, spc2_arithm)).
thf(spc2_boole, axiom,  ~ ( (v1_xboole_0 @ np__2) ) , file(boole, spc2_boole)).
thf(spc2_numerals, axiom,  ( ( (v2_xxreal_0 @ np__2)  &  ( ( (m2_subset_1 @ np__2)  @ k1_numbers)  @ k5_numbers) )  &  ( ( (m1_subset_1 @ np__2)  @ k5_numbers)  &  ( (m1_subset_1 @ np__2)  @ k1_numbers) ) ) , file(numerals, spc2_numerals)).
thf(spc3_boole, axiom,  ~ ( (v1_xboole_0 @ np__3) ) , file(boole, spc3_boole)).
thf(spc3_numerals, axiom,  ( ( (v2_xxreal_0 @ np__3)  &  ( ( (m2_subset_1 @ np__3)  @ k1_numbers)  @ k5_numbers) )  &  ( ( (m1_subset_1 @ np__3)  @ k5_numbers)  &  ( (m1_subset_1 @ np__3)  @ k1_numbers) ) ) , file(numerals, spc3_numerals)).
thf(spc4_arithm, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (v1_xcmplx_0 @ A)  &  ( (v1_xcmplx_0 @ B)  &  (v1_xcmplx_0 @ C) ) )  =>  ( (= @  ( (k3_xcmplx_0 @ A)  @  ( (k7_xcmplx_0 @ B)  @ C) ) )  @  ( (k7_xcmplx_0 @  ( (k3_xcmplx_0 @ A)  @ B) )  @ C) ) ) ) , file(arithm, spc4_arithm)).
thf(spc4_boole, axiom,  ~ ( (v1_xboole_0 @ np__4) ) , file(boole, spc4_boole)).
thf(spc4_numerals, axiom,  ( ( (v2_xxreal_0 @ np__4)  &  ( ( (m2_subset_1 @ np__4)  @ k1_numbers)  @ k5_numbers) )  &  ( ( (m1_subset_1 @ np__4)  @ k5_numbers)  &  ( (m1_subset_1 @ np__4)  @ k1_numbers) ) ) , file(numerals, spc4_numerals)).
thf(spc5_arithm, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (v1_xcmplx_0 @ A)  &  ( (v1_xcmplx_0 @ B)  &  (v1_xcmplx_0 @ C) ) )  =>  ( (= @  ( (k3_xcmplx_0 @  ( (k2_xcmplx_0 @ A)  @ B) )  @ C) )  @  ( (k2_xcmplx_0 @  ( (k3_xcmplx_0 @ A)  @ C) )  @  ( (k3_xcmplx_0 @ B)  @ C) ) ) ) ) , file(arithm, spc5_arithm)).
thf(spc5_boole, axiom,  ~ ( (v1_xboole_0 @ np__5) ) , file(boole, spc5_boole)).
thf(spc5_numerals, axiom,  ( ( (v2_xxreal_0 @ np__5)  &  ( ( (m2_subset_1 @ np__5)  @ k1_numbers)  @ k5_numbers) )  &  ( ( (m1_subset_1 @ np__5)  @ k5_numbers)  &  ( (m1_subset_1 @ np__5)  @ k1_numbers) ) ) , file(numerals, spc5_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(spc7_arithm, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (v1_xcmplx_0 @ A)  &  ( (v1_xcmplx_0 @ B)  &  (v1_xcmplx_0 @ C) ) )  =>  ( (= @  ( (k3_xcmplx_0 @  ( (k3_xcmplx_0 @ A)  @ B) )  @ C) )  @  ( (k3_xcmplx_0 @ A)  @  ( (k3_xcmplx_0 @ B)  @ C) ) ) ) ) , file(arithm, spc6_arithm)).
thf(spc8_arithm, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ A) )  @  (k4_xcmplx_0 @ B) ) )  @  (k4_xcmplx_0 @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) ) , file(arithm, spc8_arithm)).
thf(spc9_arithm, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ A) )  @  (k4_xcmplx_0 @ B) ) )  @  ( (k6_xcmplx_0 @ B)  @ A) ) ) ) , file(arithm, spc9_arithm)).
thf(t13_nat_1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (! [B: $i] :  ( (v7_ordinal1 @ B)  =>  ( ~ ( ( (r1_xxreal_0 @  ( (k1_nat_1 @ B)  @ np__1) )  @ A) )  <=>  ( (r1_xxreal_0 @ A)  @ B) ) ) ) ) ) , file(nat_1, t13_nat_1)).
thf(t13_xreal_1, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  (! [C: $i] :  ( (v1_xreal_0 @ C)  =>  (! [D: $i] :  ( (v1_xreal_0 @ D)  =>  ( ( ( (r1_xxreal_0 @ A)  @ B)  &  ( (r1_xxreal_0 @ C)  @ D) )  =>  ( (r1_xxreal_0 @  ( (k6_xcmplx_0 @ A)  @ D) )  @  ( (k6_xcmplx_0 @ B)  @ C) ) ) ) ) ) ) ) ) ) ) , file(xreal_1, t13_xreal_1)).
thf(t1_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k2_xcmplx_0 @ A)  @ k6_numbers) )  @ A) ) ) , file(arithm, t1_arithm)).
thf(t1_numerals, axiom,  ( (m1_subset_1 @ k1_xboole_0)  @ k4_ordinal1) , file(numerals, t1_numerals)).
thf(t1_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ( ( ( (r1_xxreal_0 @ A)  @ B)  &  (v2_xxreal_0 @ A) )  =>  (v2_xxreal_0 @ B) ) ) ) ) ) , file(real, t1_real)).
thf(t1_subset, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (r2_hidden @ A)  @ B)  =>  ( (m1_subset_1 @ A)  @ B) ) ) ) , file(subset, t1_subset)).
thf(t232_xreal_1, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  ( (= @  ( (k1_xreal_0 @ A)  @ A) )  @ k6_numbers) ) ) , file(xreal_1, t232_xreal_1)).
thf(t235_xreal_1, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ( ( (r1_xxreal_0 @ B)  @ A)  =>  ( (= @  ( (k2_xcmplx_0 @  ( (k1_xreal_0 @ A)  @ B) )  @ B) )  @ A) ) ) ) ) ) , file(xreal_1, t235_xreal_1)).
thf(t25_nat_1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  ~ ( ( ( (r1_xxreal_0 @ A)  @ np__1)  &  ( ~ ( ( (= @ A)  @ k6_numbers) )  &  ~ ( ( (= @ A)  @ np__1) ) ) ) ) ) ) , file(nat_1, t25_nat_1)).
thf(t2_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k3_xcmplx_0 @ A)  @ k6_numbers) )  @ k6_numbers) ) ) , file(arithm, t2_arithm)).
thf(t2_nat_1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  ( (r1_xxreal_0 @ k6_numbers)  @ A) ) ) , file(nat_1, t2_nat_1)).
thf(t2_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ( ( ( (r1_xxreal_0 @ A)  @ B)  &  (v3_xxreal_0 @ B) )  =>  (v3_xxreal_0 @ A) ) ) ) ) ) , file(real, t2_real)).
thf(t2_subset, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (m1_subset_1 @ A)  @ B)  =>  ( (v1_xboole_0 @ B)  |  ( (r2_hidden @ A)  @ B) ) ) ) ) , file(subset, t2_subset)).
thf(t34_nat_d, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (! [B: $i] :  ( (v7_ordinal1 @ B)  =>  ( (= @  ( (k7_nat_d @  ( (k2_xcmplx_0 @ A)  @ B) )  @ B) )  @ A) ) ) ) ) , file(nat_d, t34_nat_d)).
thf(t3_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k3_xcmplx_0 @ np__1)  @ A) )  @ A) ) ) , file(arithm, t3_arithm)).
thf(t3_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ~ ( ( ( (r1_xxreal_0 @ A)  @ B)  &  ( ~ ( (v3_xxreal_0 @ A) )  &  (v3_xxreal_0 @ B) ) ) ) ) ) ) ) , file(real, t3_real)).
thf(t3_subset, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @ B) )  <=>  ( (r1_tarski @ A)  @ B) ) ) ) , file(subset, t3_subset)).
thf(t4_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k6_xcmplx_0 @ A)  @ k6_numbers) )  @ A) ) ) , file(arithm, t4_arithm)).
thf(t4_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ~ ( ( ( (r1_xxreal_0 @ A)  @ B)  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v2_xxreal_0 @ A) ) ) ) ) ) ) ) , file(real, t4_real)).
thf(t4_subset, axiom,  (! [A: $i] :  (! [B: $i] :  (! [C: $i] :  ( ( ( (r2_hidden @ A)  @ B)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ C) ) )  =>  ( (m1_subset_1 @ A)  @ C) ) ) ) ) , file(subset, t4_subset)).
thf(t5_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k7_xcmplx_0 @ k6_numbers)  @ A) )  @ k6_numbers) ) ) , file(arithm, t5_arithm)).
thf(t5_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ( ( (r1_xxreal_0 @ A)  @ B)  =>  ( (v1_xboole_0 @ B)  |  ( (v3_xxreal_0 @ A)  |  (v2_xxreal_0 @ B) ) ) ) ) ) ) ) , file(real, t5_real)).
thf(t5_subset, axiom,  (! [A: $i] :  (! [B: $i] :  (! [C: $i] :  ~ ( ( ( (r2_hidden @ A)  @ B)  &  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ C) )  &  (v1_xboole_0 @ C) ) ) ) ) ) ) , file(subset, t5_subset)).
thf(t6_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k7_xcmplx_0 @ A)  @ np__1) )  @ A) ) ) , file(arithm, t6_arithm)).
thf(t6_boole, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  ( (= @ A)  @ k1_xboole_0) ) ) , file(boole, t6_boole)).
thf(t6_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ( ( (r1_xxreal_0 @ A)  @ B)  =>  ( (v1_xboole_0 @ A)  |  ( (v2_xxreal_0 @ B)  |  (v3_xxreal_0 @ A) ) ) ) ) ) ) ) , file(real, t6_real)).
thf(t7_boole, axiom,  (! [A: $i] :  (! [B: $i] :  ~ ( ( ( (r2_hidden @ A)  @ B)  &  (v1_xboole_0 @ B) ) ) ) ) , file(boole, t7_boole)).
thf(t7_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ~ ( ( ~ ( ( (r1_xxreal_0 @ A)  @ B) )  &  ( ~ ( (v2_xxreal_0 @ A) )  &  ~ ( (v3_xxreal_0 @ B) ) ) ) ) ) ) ) ) , file(real, t7_real)).
thf(t8_boole, axiom,  (! [A: $i] :  (! [B: $i] :  ~ ( ( (v1_xboole_0 @ A)  &  ( ~ ( ( (= @ A)  @ B) )  &  (v1_xboole_0 @ B) ) ) ) ) ) , file(boole, t8_boole)).
thf(t8_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ~ ( ( ~ ( ( (r1_xxreal_0 @ A)  @ B) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  ~ ( (v2_xxreal_0 @ A) ) ) ) ) ) ) ) ) , file(real, t8_real)).
thf(t8_xreal_1, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  (! [C: $i] :  ( (v1_xreal_0 @ C)  =>  (! [D: $i] :  ( (v1_xreal_0 @ D)  =>  ~ ( ( ~ ( ( (r1_xxreal_0 @ B)  @ A) )  &  ( ( (r1_xxreal_0 @ C)  @ D)  &  ( (r1_xxreal_0 @  ( (k2_xcmplx_0 @ B)  @ D) )  @  ( (k2_xcmplx_0 @ A)  @ C) ) ) ) ) ) ) ) ) ) ) ) ) , file(xreal_1, t8_xreal_1)).
thf(s11_nat_1, axiom,  (! [A: $i > $i > $i] :  (! [B: $i] :  (? [C: $i] :  ( ( (v1_relat_1 @ C)  &  (v1_funct_1 @ C) )  &  ( ( (= @  (k9_xtuple_0 @ C) )  @ k5_numbers)  &  ( ( (= @  ( (k1_funct_1 @ C)  @ k6_numbers) )  @ B)  &  (! [D: $i] :  ( (v7_ordinal1 @ D)  =>  ( (= @  ( (k1_funct_1 @ C)  @  ( (k1_nat_1 @ D)  @ np__1) ) )  @  ( (A @ D)  @  ( (k1_funct_1 @ C)  @ D) ) ) ) ) ) ) ) ) ) ) , file(nat_1, s11_nat_1)).
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(s1_recdef_2, axiom,  (! [A: $i > $i] :  (! [B: $i > $i] :  (! [C: $i > $i] :  (! [D: $i > $o] :  (! [E: $i > $o] :  (! [F: $i > $o] :  (! [G: $i] :  ( ( (! [H: $i] :  ( ( (r2_hidden @ H)  @ G)  =>  ( ~ ( ( (F @ H)  &  (E @ H) ) )  &  ( ~ ( ( (F @ H)  &  (D @ H) ) )  &  ~ ( ( (E @ H)  &  (D @ H) ) ) ) ) ) )  &  (! [H: $i] :  ~ ( ( ( (r2_hidden @ H)  @ G)  &  ( ~ ( (F @ H) )  &  ( ~ ( (E @ H) )  &  ~ ( (D @ H) ) ) ) ) ) ) )  =>  (? [H: $i] :  ( ( (v1_relat_1 @ H)  &  (v1_funct_1 @ H) )  &  ( ( (= @  (k9_xtuple_0 @ H) )  @ G)  &  (! [I: $i] :  ( ( (r2_hidden @ I)  @ G)  =>  ( ( (F @ I)  =>  ( (= @  ( (k1_funct_1 @ H)  @ I) )  @  (C @ I) ) )  &  ( ( (E @ I)  =>  ( (= @  ( (k1_funct_1 @ H)  @ I) )  @  (B @ I) ) )  &  ( (D @ I)  =>  ( (= @  ( (k1_funct_1 @ H)  @ I) )  @  (A @ I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(recdef_2, s1_recdef_2)).
thf(s4_funct_1, axiom,  (! [A: $i > $i] :  (! [B: $i] :  (? [C: $i] :  ( ( (v1_relat_1 @ C)  &  (v1_funct_1 @ C) )  &  ( ( (= @  (k9_xtuple_0 @ C) )  @ B)  &  (! [D: $i] :  ( ( (m1_subset_1 @ D)  @ B)  =>  ( (= @  ( (k1_funct_1 @ C)  @ D) )  @  (A @ D) ) ) ) ) ) ) ) ) , file(funct_1, s4_funct_1)).
thf(s8_recdef_2, conjecture,  (? [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) )  &  ( ( (= @  (k9_xtuple_0 @ A) )  @ k5_numbers)  &  ( ( (= @  ( (k1_funct_1 @ A)  @ k6_numbers) )  @ f1_s8_recdef_2)  &  ( ( (= @  ( (k1_funct_1 @ A)  @ np__1) )  @ f2_s8_recdef_2)  &  ( ( (= @  ( (k1_funct_1 @ A)  @ np__2) )  @ f3_s8_recdef_2)  &  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ k5_numbers)  =>  ( (= @  ( (k1_funct_1 @ A)  @  ( (k2_nat_1 @ B)  @ np__3) ) )  @  ( ( ( (f4_s8_recdef_2 @ B)  @  ( (k1_funct_1 @ A)  @ B) )  @  ( (k1_funct_1 @ A)  @  ( (k2_nat_1 @ B)  @ np__1) ) )  @  ( (k1_funct_1 @ A)  @  ( (k2_nat_1 @ B)  @ np__2) ) ) ) ) ) ) ) ) ) ) ) , file(recdef_2, s8_recdef_2)).
