Theorem. (
t3_urysohn1)
∀esk2_3 : set → set → set → set, ∀esk4_2 : set → set → set, ∀m2_subset_1 : set → set → set → prop, ∀v1_int_1 : set → prop, ∀v5_membered : set → prop, ∀v1_xreal_0 : set → prop, ∀v3_membered : set → prop, ∀v1_xcmplx_0 : set → prop, ∀v1_membered : set → prop, ∀esk24_2 : set → set → set, ∀esk6_2 : set → set → set, ∀v2_xxreal_0 : set → prop, ∀k1_newton : set → set → set, ∀v1_subset_1 : set → set → prop, ∀esk21_1 : set → set, ∀v7_membered : set → prop, ∀np__0 : set, ∀v1_finset_1 : set → prop, ∀esk14_0 : set, ∀esk7_0 : set, ∀esk13_1 : set → set, ∀k4_ordinal1 : set, ∀esk20_0 : set, ∀esk16_0 : set, ∀esk22_0 : set, ∀esk10_0 : set, ∀esk11_0 : set, ∀o_0_0_xboole_0 : set, ∀esk9_0 : set, ∀esk23_0 : set, ∀esk15_0 : set, ∀esk19_0 : set, ∀esk5_1 : set → set, ∀esk12_0 : set, ∀esk17_0 : set, ∀esk18_1 : set → set, ∀k1_xboole_0 : set, ∀k6_numbers : set, ∀esk8_1 : set → set, ∀r1_tarski : set → set → prop, ∀k10_real_1 : set → set → set, ∀v3_xxreal_0 : set → prop, ∀k7_xcmplx_0 : set → set → set, ∀k2_nat_1 : set → set → set, ∀np__1 : set, ∀k1_nat_1 : set → set → set, ∀k13_newton : set → set → set, ∀k3_xcmplx_0 : set → set → set, ∀k2_xcmplx_0 : set → set → set, ∀v6_membered : set → prop, ∀v2_membered : set → prop, ∀v1_xxreal_0 : set → prop, ∀v4_membered : set → prop, ∀v1_rat_1 : set → prop, ∀esk3_2 : set → set → set, ∀k6_real_1 : set → set → set, ∀k2_newton : set → set → set, ∀np__2 : set, ∀k5_numbers : set, ∀r1_xxreal_0 : set → set → prop, ∀k1_numbers : set, ∀v7_ordinal1 : set → prop, ∀k1_urysohn1 : set → set, ∀m1_subset_1 : set → set → prop, ∀k1_zfmisc_1 : set → set, ∀k8_domain_1 : set → set → set → set → set, ∀v1_xboole_0 : set → prop, ∀esk1_4 : set → set → set → set → set, ∀r2_hidden : set → set → prop, ∀k1_enumset1 : set → set → set → set, (∀X4 X2 X3 X1, (X4 = (k1_enumset1 X1 X2 X3) → False) → ((esk1_4 X1 X2 X3 X4) = X3 → False) → ((esk1_4 X1 X2 X3 X4) = X2 → False) → ((esk1_4 X1 X2 X3 X4) = X1 → False) → (r2_hidden (esk1_4 X1 X2 X3 X4) X4 → False) → False) → (∀X4 X2 X3 X1, (X4 = (k1_enumset1 X1 X2 X3) → False) → (esk1_4 X1 X2 X3 X4) = X1 → r2_hidden (esk1_4 X1 X2 X3 X4) X4 → False) → (∀X4 X2 X3 X1, (X4 = (k1_enumset1 X1 X2 X3) → False) → (esk1_4 X1 X2 X3 X4) = X2 → r2_hidden (esk1_4 X1 X2 X3 X4) X4 → False) → (∀X4 X2 X3 X1, (X4 = (k1_enumset1 X1 X2 X3) → False) → (esk1_4 X1 X2 X3 X4) = X3 → r2_hidden (esk1_4 X1 X2 X3 X4) X4 → False) → (∀X4 X3 X2 X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (k8_domain_1 X1 X2 X3 X4) (k1_zfmisc_1 X1) → False) → m1_subset_1 X4 X1 → m1_subset_1 X3 X1 → m1_subset_1 X2 X1 → False) → (∀X4 X3 X2 X1, ((k8_domain_1 X1 X2 X3 X4) = (k1_enumset1 X2 X3 X4) → False) → (v1_xboole_0 X1 → False) → m1_subset_1 X4 X1 → m1_subset_1 X3 X1 → m1_subset_1 X2 X1 → False) → (∀X3 X2 X1, (X2 = (k1_urysohn1 X1) → False) → (esk3_2 X1 X2) = (k6_real_1 X3 (k2_newton np__2 X1)) → v7_ordinal1 X1 → m1_subset_1 X3 k5_numbers → m1_subset_1 X2 (k1_zfmisc_1 k1_numbers) → r2_hidden (esk3_2 X1 X2) X2 → r1_xxreal_0 X3 (k2_newton np__2 X1) → False) → (∀X1 X3 X2, ((k6_real_1 (esk2_3 X2 X3 X1) (k2_newton np__2 X2)) = X1 → False) → X3 = (k1_urysohn1 X2) → v7_ordinal1 X2 → r2_hidden X1 X3 → m1_subset_1 X1 k1_numbers → m1_subset_1 X3 (k1_zfmisc_1 k1_numbers) → False) → (∀X3 X2 X1, (r1_xxreal_0 (esk2_3 X1 X2 X3) (k2_newton np__2 X1) → False) → X2 = (k1_urysohn1 X1) → v7_ordinal1 X1 → r2_hidden X3 X2 → m1_subset_1 X3 k1_numbers → m1_subset_1 X2 (k1_zfmisc_1 k1_numbers) → False) → (∀X2 X1 X3 X4, (r2_hidden X3 X4 → False) → X4 = (k1_urysohn1 X2) → X3 = (k6_real_1 X1 (k2_newton np__2 X2)) → v7_ordinal1 X2 → m1_subset_1 X3 k1_numbers → m1_subset_1 X1 k5_numbers → m1_subset_1 X4 (k1_zfmisc_1 k1_numbers) → r1_xxreal_0 X1 (k2_newton np__2 X2) → False) → (∀X3 X2 X1, (m1_subset_1 (esk2_3 X1 X2 X3) k5_numbers → False) → X2 = (k1_urysohn1 X1) → v7_ordinal1 X1 → r2_hidden X3 X2 → m1_subset_1 X3 k1_numbers → m1_subset_1 X2 (k1_zfmisc_1 k1_numbers) → False) → (∀X1 X2, (X2 = (k1_urysohn1 X1) → False) → ((k6_real_1 (esk4_2 X1 X2) (k2_newton np__2 X1)) = (esk3_2 X1 X2) → False) → (r2_hidden (esk3_2 X1 X2) X2 → False) → v7_ordinal1 X1 → m1_subset_1 X2 (k1_zfmisc_1 k1_numbers) → False) → (∀X1 X2, (X2 = (k1_urysohn1 X1) → False) → (r2_hidden (esk3_2 X1 X2) X2 → False) → (r1_xxreal_0 (esk4_2 X1 X2) (k2_newton np__2 X1) → False) → v7_ordinal1 X1 → m1_subset_1 X2 (k1_zfmisc_1 k1_numbers) → False) → (∀X1 X3 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m1_subset_1 X3 X1 → False) → m2_subset_1 X3 X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1 X3, (v1_xboole_0 X3 → False) → (v1_xboole_0 X2 → False) → (m1_subset_1 X1 X3 → False) → m2_subset_1 X1 X2 X3 → m1_subset_1 X3 (k1_zfmisc_1 X2) → False) → (∀X1 X2 X3, (v5_membered (k1_enumset1 X1 X2 X3) → False) → v1_int_1 X3 → v1_int_1 X2 → v1_int_1 X1 → False) → (∀X1 X2 X3, (v4_membered (k1_enumset1 X1 X2 X3) → False) → v1_rat_1 X3 → v1_rat_1 X2 → v1_rat_1 X1 → False) → (∀X1 X2 X3, (v3_membered (k1_enumset1 X1 X2 X3) → False) → v1_xreal_0 X3 → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X1 X2 X3, (v2_membered (k1_enumset1 X1 X2 X3) → False) → v1_xxreal_0 X3 → v1_xxreal_0 X2 → v1_xxreal_0 X1 → False) → (∀X1 X2 X3, (v1_membered (k1_enumset1 X1 X2 X3) → False) → v1_xcmplx_0 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2 X3, (v6_membered (k1_enumset1 X1 X2 X3) → False) → v7_ordinal1 X3 → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X1 X2, (X1 = X2 → False) → r2_hidden (esk24_2 X1 X2) X2 → r2_hidden (esk24_2 X1 X2) X1 → False) → (∀X1 X2 X3, ((k2_xcmplx_0 (k3_xcmplx_0 X1 X3) (k3_xcmplx_0 X2 X3)) = (k3_xcmplx_0 (k2_xcmplx_0 X1 X2) X3) → False) → v1_xcmplx_0 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m2_subset_1 (esk6_2 X1 X2) X1 X2 → False) → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (X2 = (k1_urysohn1 X1) → False) → (r2_hidden (esk3_2 X1 X2) X2 → False) → (m1_subset_1 (esk4_2 X1 X2) k5_numbers → False) → v7_ordinal1 X1 → m1_subset_1 X2 (k1_zfmisc_1 k1_numbers) → False) → (∀X2 X1 X3, (v1_xboole_0 X3 → False) → (v1_xboole_0 X2 → False) → (m2_subset_1 X1 X3 X2 → False) → m1_subset_1 X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X2 X1, (m2_subset_1 (k13_newton X1 X2) k1_numbers k5_numbers → False) → m1_subset_1 X2 k5_numbers → m1_subset_1 X1 k5_numbers → False) → (∀X4 X2 X3 X1 X5, (X1 = X5 → False) → (X1 = X4 → False) → (X1 = X3 → False) → X2 = (k1_enumset1 X3 X4 X5) → r2_hidden X1 X2 → False) → (∀X1 X2, (X1 = X2 → False) → (X2 = (k1_nat_1 X1 np__1) → False) → v7_ordinal1 X2 → v7_ordinal1 X1 → r1_xxreal_0 X1 X2 → r1_xxreal_0 X2 (k1_nat_1 X1 np__1) → False) → (∀X2 X4 X5 X1 X3, (r2_hidden X1 X3 → False) → X1 = X2 → X3 = (k1_enumset1 X2 X4 X5) → False) → (∀X2 X4 X5 X1 X3, (r2_hidden X1 X3 → False) → X1 = X2 → X3 = (k1_enumset1 X4 X2 X5) → False) → (∀X2 X4 X5 X1 X3, (r2_hidden X1 X3 → False) → X1 = X2 → X3 = (k1_enumset1 X4 X5 X2) → False) → (∀X2 X1, (m2_subset_1 (k2_nat_1 X1 X2) k1_numbers k5_numbers → False) → v7_ordinal1 X2 → m1_subset_1 X1 k5_numbers → False) → (∀X1 X2, (m2_subset_1 (k1_nat_1 X1 X2) k1_numbers k5_numbers → False) → v7_ordinal1 X1 → m1_subset_1 X2 k5_numbers → False) → (∀X1 X2 X3, ((k3_xcmplx_0 (k3_xcmplx_0 X1 X2) X3) = (k3_xcmplx_0 X1 (k3_xcmplx_0 X2 X3)) → False) → v1_xcmplx_0 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2 X3, ((k2_xcmplx_0 (k2_xcmplx_0 X1 X2) X3) = (k2_xcmplx_0 X1 (k2_xcmplx_0 X2 X3)) → False) → v1_xcmplx_0 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2 X3, ((k7_xcmplx_0 (k3_xcmplx_0 X1 X2) X3) = (k3_xcmplx_0 X1 (k7_xcmplx_0 X2 X3)) → False) → v1_xcmplx_0 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2, (X1 = (k1_nat_1 X2 np__1) → False) → (r1_xxreal_0 X1 X2 → False) → v7_ordinal1 X2 → v7_ordinal1 X1 → r1_xxreal_0 X1 (k1_nat_1 X2 np__1) → False) → (∀X1 X2, (X1 = X2 → False) → (r2_hidden (esk24_2 X1 X2) X2 → False) → (r2_hidden (esk24_2 X1 X2) X1 → False) → False) → (∀X1 X2, (X2 = (k1_urysohn1 X1) → False) → (m1_subset_1 (esk3_2 X1 X2) k1_numbers → False) → v7_ordinal1 X1 → m1_subset_1 X2 (k1_zfmisc_1 k1_numbers) → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k7_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k3_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k2_xcmplx_0 X1 X2) → False) → (∀X2 X1, (v2_xxreal_0 X1 → False) → (v3_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k3_xcmplx_0 X1 X2) → False) → (∀X2 X1, (v2_xxreal_0 X1 → False) → (v3_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k3_xcmplx_0 X2 X1) → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k7_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k7_xcmplx_0 X2 X1) → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v2_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k7_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v2_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k3_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v2_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k2_xcmplx_0 X1 X2) → False) → (∀X2 X1 X3, (m1_subset_1 X1 X3 → False) → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X2 X1, ((k13_newton X1 X2) = (k1_newton X1 X2) → False) → m1_subset_1 X2 k5_numbers → m1_subset_1 X1 k5_numbers → False) → (∀X1 X2, (m1_subset_1 (k6_real_1 X1 X2) k1_numbers → False) → v1_xreal_0 X1 → m1_subset_1 X2 k1_numbers → False) → (∀X2 X1, (m1_subset_1 (k2_newton X1 X2) k1_numbers → False) → v7_ordinal1 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, (m1_subset_1 (k10_real_1 X1 X2) k1_numbers → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, v1_xboole_0 X1 → v1_subset_1 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v1_subset_1 X2 X1 → False) → v1_xboole_0 X2 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v1_subset_1 X2 X1 → False) → v1_xboole_0 X2 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v2_xxreal_0 (k2_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v2_xxreal_0 (k2_xcmplx_0 X2 X1) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v3_xxreal_0 (k2_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v3_xxreal_0 (k2_xcmplx_0 X2 X1) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X1 X2, ((k6_real_1 X1 X2) = (k7_xcmplx_0 X1 X2) → False) → v1_xreal_0 X1 → m1_subset_1 X2 k1_numbers → False) → (∀X2 X1, ((k10_real_1 X1 X2) = (k7_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, ((k2_newton X1 X2) = (k1_newton X1 X2) → False) → v7_ordinal1 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, ((k2_nat_1 X1 X2) = (k2_xcmplx_0 X1 X2) → False) → v7_ordinal1 X2 → m1_subset_1 X1 k5_numbers → False) → (∀X1 X2, ((k1_nat_1 X1 X2) = (k2_xcmplx_0 X1 X2) → False) → v7_ordinal1 X1 → m1_subset_1 X2 k5_numbers → False) → (∀X2 X1, ((k2_nat_1 X1 X2) = (k2_nat_1 X2 X1) → False) → v7_ordinal1 X2 → m1_subset_1 X1 k5_numbers → False) → (∀X1 X2, ((k1_nat_1 X1 X2) = (k1_nat_1 X2 X1) → False) → v7_ordinal1 X1 → m1_subset_1 X2 k5_numbers → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v2_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v2_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X2 X1, (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 X2 → r1_xxreal_0 X1 X2 → False) → (∀X2 X1, (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 X2 → r1_xxreal_0 X1 X2 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden X1 X2 → False) → (∀X2 X1, (v7_ordinal1 (k1_newton X1 X2) → False) → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X2 X1, (v1_xreal_0 (k7_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X1 X2, (v1_xreal_0 (k1_newton X1 X2) → False) → v1_xreal_0 X1 → v7_ordinal1 X2 → False) → (∀X2 X1, (v1_xreal_0 (k3_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (v1_xreal_0 (k2_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X1 X2, (v1_xcmplx_0 (k1_newton X1 X2) → False) → v1_xcmplx_0 X1 → v7_ordinal1 X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v5_membered X2 → False) → v5_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v4_membered X2 → False) → v4_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v3_membered X2 → False) → v3_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v2_membered X2 → False) → v2_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_membered X2 → False) → v1_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v6_membered X2 → False) → v6_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (r1_xxreal_0 X2 X1 → False) → (r1_xxreal_0 X1 X2 → False) → v1_xxreal_0 X2 → v1_xxreal_0 X1 → False) → (∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → r1_tarski X1 X2 → False) → (∀X2 X1, ((k3_xcmplx_0 X1 X2) = (k3_xcmplx_0 X2 X1) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, ((k2_xcmplx_0 X1 X2) = (k2_xcmplx_0 X2 X1) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X2 X1, (v2_xxreal_0 X1 → False) → (v3_xxreal_0 X2 → False) → (r1_xxreal_0 X1 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (v2_xxreal_0 X1 → False) → (v3_xxreal_0 X2 → False) → (r1_xxreal_0 X1 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1 X2, (v7_ordinal1 X2 → False) → v6_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_int_1 X2 → False) → v5_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_rat_1 X2 → False) → v4_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_xreal_0 X2 → False) → v3_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_xxreal_0 X2 → False) → v2_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_xcmplx_0 X2 → False) → v1_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1, (v3_membered X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 k1_numbers) → False) → (∀X1, (v6_membered X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 k5_numbers) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk21_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk8_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (k1_urysohn1 X1) (k1_zfmisc_1 k1_numbers) → False) → v7_ordinal1 X1 → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X2 X1, (r1_xxreal_0 X1 X1 → False) → v1_xxreal_0 X2 → v1_xxreal_0 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_subset_1 (esk21_1 X1) X1 → False) → False) → (∀X1, (v1_xreal_0 X1 → False) → m1_subset_1 X1 k1_numbers → False) → (∀X1, (v6_membered X1 → False) → m1_subset_1 X1 k5_numbers → False) → (∀X1, v1_xxreal_0 X1 → v2_xxreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X1, v1_xxreal_0 X1 → v2_xxreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X1, v1_xxreal_0 X1 → v1_xboole_0 X1 → v3_xxreal_0 X1 → False) → (∀X1, v1_xxreal_0 X1 → v1_xboole_0 X1 → v3_xxreal_0 X1 → False) → (∀X1, v1_xxreal_0 X1 → v1_xboole_0 X1 → v2_xxreal_0 X1 → False) → (∀X1, v1_xxreal_0 X1 → v1_xboole_0 X1 → v2_xxreal_0 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk8_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → (v2_xxreal_0 X1 → False) → (v3_xxreal_0 X1 → False) → v1_xxreal_0 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v2_xxreal_0 X1 → False) → (v3_xxreal_0 X1 → False) → v1_xxreal_0 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v2_xxreal_0 X1 → False) → (v3_xxreal_0 X1 → False) → v1_xxreal_0 X1 → False) → (∀X1, ((k3_xcmplx_0 np__1 X1) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k7_xcmplx_0 X1 np__1) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k1_newton X1 np__1) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k2_xcmplx_0 X1 k6_numbers) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, (r1_xxreal_0 k6_numbers X1 → False) → v7_ordinal1 X1 → False) → (∀X1, ((k7_xcmplx_0 k6_numbers X1) = k6_numbers → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k3_xcmplx_0 X1 k6_numbers) = k6_numbers → False) → v1_xcmplx_0 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (v7_membered X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v5_membered X1 → False) → v6_membered X1 → False) → (∀X1, (v4_membered X1 → False) → v5_membered X1 → False) → (∀X1, (v1_xreal_0 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v3_membered X1 → False) → v4_membered X1 → False) → (∀X1, (v1_xxreal_0 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v1_xxreal_0 X1 → False) → v1_xreal_0 X1 → False) → (∀X1, (v2_membered X1 → False) → v3_membered X1 → False) → (∀X1, (v1_xcmplx_0 X1 → False) → v1_xreal_0 X1 → False) → (∀X1, (v1_membered X1 → False) → v3_membered X1 → False) → (∀X1, (v6_membered X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → ((k8_domain_1 k1_numbers k6_numbers (k10_real_1 np__1 np__2) np__1) = (k1_urysohn1 np__1) → False) → (∀X3 X2 X1, v1_xboole_0 (k1_enumset1 X1 X2 X3) → False) → (r1_xxreal_0 (k7_xcmplx_0 np__1 np__2) np__0 → False) → (r1_xxreal_0 np__2 (k7_xcmplx_0 np__1 np__2) → False) → (r1_xxreal_0 np__1 (k7_xcmplx_0 np__1 np__2) → False) → (∀X1, v1_subset_1 (esk18_1 X1) X1 → False) → (r1_xxreal_0 np__2 np__0 → False) → (r1_xxreal_0 np__2 np__1 → False) → (r1_xxreal_0 np__1 np__0 → False) → (∀X1, v1_xboole_0 (k1_zfmisc_1 X1) → False) → (v1_finset_1 k1_numbers → False) → (v1_xboole_0 esk17_0 → False) → (v1_xboole_0 esk14_0 → False) → (v1_xboole_0 esk12_0 → False) → (v1_xboole_0 esk7_0 → False) → (v1_xboole_0 np__2 → False) → (v1_xboole_0 k1_numbers → False) → (v1_xboole_0 np__1 → False) → ((r1_xxreal_0 (k7_xcmplx_0 np__1 np__2) (k7_xcmplx_0 np__1 np__2) → False) → False) → (((k2_xcmplx_0 (k7_xcmplx_0 np__1 np__2) (k7_xcmplx_0 np__1 np__2)) = np__1 → False) → False) → ((m2_subset_1 np__0 k1_numbers k5_numbers → False) → False) → ((m2_subset_1 np__2 k1_numbers k5_numbers → False) → False) → ((m2_subset_1 k6_numbers k1_numbers k5_numbers → False) → False) → ((m2_subset_1 np__1 k1_numbers k5_numbers → False) → False) → (((k3_xcmplx_0 (