Theorem. (
t13_arytm_0)
∀esk29_3 : set → set → set → set, ∀esk30_3 : set → set → set → set, ∀esk31_3 : set → set → set → set, ∀esk32_3 : set → set → set → set, ∀epred1_2 : set → set → prop, ∀esk8_2 : set → set → set, ∀k1_numbers : set, ∀esk24_2 : set → set → set, ∀esk4_2 : set → set → set, ∀a_0_1_arytm_3 : set, ∀np__1 : set, ∀v1_funct_1 : set → prop, ∀v1_relat_1 : set → prop, ∀v6_ordinal1 : set → prop, ∀v3_funct_1 : set → prop, ∀v1_zfmisc_1 : set → prop, ∀v1_ordinal1 : set → prop, ∀v2_ordinal1 : set → prop, ∀v5_ordinal1 : set → prop, ∀esk3_0 : set, ∀esk2_0 : set, ∀esk1_0 : set, ∀v1_finset_1 : set → prop, ∀esk19_0 : set, ∀esk22_0 : set, ∀esk17_0 : set, ∀k5_arytm_3 : set, ∀esk7_1 : set → set, ∀c2__arytm_0 : set, ∀esk20_0 : set, ∀esk12_0 : set, ∀esk14_0 : set, ∀esk13_0 : set, ∀esk16_0 : set, ∀v2_xxreal_0 : set → prop, ∀k5_numbers : set, ∀esk15_0 : set, ∀esk18_0 : set, ∀esk23_0 : set, ∀esk21_0 : set, ∀v7_ordinal1 : set → prop, ∀v2_funct_1 : set → prop, ∀esk11_1 : set → set, ∀v4_funct_1 : set → prop, ∀r1_tarski : set → set → prop, ∀esk10_1 : set → set, ∀esk9_1 : set → set, ∀v3_ordinal1 : set → prop, ∀k11_arytm_3 : set, ∀a_0_0_arytm_3 : set, ∀r1_arytm_3 : set → set → prop, ∀k4_ordinal1 : set, ∀k1_xboole_0 : set, ∀m2_subset_1 : set → set → set → prop, ∀k1_zfmisc_1 : set → set, ∀v1_xboole_0 : set → prop, ∀m1_subset_1 : set → set → prop, ∀esk25_3 : set → set → set → set, ∀esk26_3 : set → set → set → set, ∀esk5_3 : set → set → set → set, ∀k2_xboole_0 : set → set → set, ∀esk6_3 : set → set → set → set, ∀k6_subset_1 : set → set → set, ∀k8_arytm_2 : set → set → set, ∀esk27_3 : set → set → set → set, ∀esk28_3 : set → set → set → set, ∀k4_tarski : set → set → set, ∀k2_arytm_2 : set, ∀r2_hidden : set → set → prop, ∀k2_zfmisc_1 : set → set → set, ∀k1_tarski : set → set, ∀epred2_3 : set → set → set → prop, ∀k2_arytm_0 : set → set → set, ∀k6_numbers : set, (∀X1 X3 X2, (X2 = k6_numbers → False) → ((k4_tarski k6_numbers (k8_arytm_2 (esk27_3 X2 X3 X1) (esk28_3 X2 X3 X1))) = X1 → False) → X1 = (k2_arytm_0 X2 X3) → r2_hidden X2 k2_arytm_2 → epred2_3 X1 X3 X2 → r2_hidden X3 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (∀X1 X2 X3, (X3 = k6_numbers → False) → ((k4_tarski k6_numbers (k8_arytm_2 (esk30_3 X2 X3 X1) (esk29_3 X2 X3 X1))) = X1 → False) → X1 = (k2_arytm_0 X2 X3) → r2_hidden X3 k2_arytm_2 → epred2_3 X1 X3 X2 → r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (∀X1 X3 X2, (X3 = (k6_subset_1 X1 X2) → False) → (r2_hidden (esk6_3 X1 X2 X3) X2 → False) → r2_hidden (esk6_3 X1 X2 X3) X3 → r2_hidden (esk6_3 X1 X2 X3) X1 → False) → (∀X1 X3 X2, ((k8_arytm_2 (esk32_3 X2 X3 X1) (esk31_3 X2 X3 X1)) = X1 → False) → X1 = (k2_arytm_0 X2 X3) → epred2_3 X1 X3 X2 → r2_hidden X3 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (∀X1 X3 X2, (X3 = (k2_xboole_0 X1 X2) → False) → r2_hidden (esk5_3 X1 X2 X3) X3 → r2_hidden (esk5_3 X1 X2 X3) X1 → False) → (∀X2 X3 X1, (X3 = (k2_xboole_0 X1 X2) → False) → r2_hidden (esk5_3 X1 X2 X3) X3 → r2_hidden (esk5_3 X1 X2 X3) X2 → False) → (∀X2 X1 X3, ((k8_arytm_2 (esk25_3 X2 X3 X1) (esk26_3 X2 X3 X1)) = X1 → False) → X1 = (k2_arytm_0 X2 X3) → r2_hidden X3 k2_arytm_2 → r2_hidden X2 k2_arytm_2 → epred2_3 X1 X3 X2 → False) → (∀X1 X3 X2, (X3 = (k2_xboole_0 X1 X2) → False) → (r2_hidden (esk5_3 X1 X2 X3) X3 → False) → (r2_hidden (esk5_3 X1 X2 X3) X2 → False) → (r2_hidden (esk5_3 X1 X2 X3) X1 → False) → False) → (∀X3 X2 X1, ((k4_tarski k6_numbers (esk32_3 X2 X1 X3)) = X1 → False) → X3 = (k2_arytm_0 X2 X1) → epred2_3 X3 X1 X2 → r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (∀X3 X2 X1, ((k4_tarski k6_numbers (esk31_3 X1 X2 X3)) = X1 → False) → X3 = (k2_arytm_0 X1 X2) → epred2_3 X3 X2 X1 → r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (∀X3 X2 X1, (m1_subset_1 (esk32_3 X1 X2 X3) k2_arytm_2 → False) → X3 = (k2_arytm_0 X1 X2) → epred2_3 X3 X2 X1 → r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (∀X3 X2 X1, (m1_subset_1 (esk31_3 X1 X2 X3) k2_arytm_2 → False) → X3 = (k2_arytm_0 X1 X2) → epred2_3 X3 X2 X1 → r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (∀X1 X2 X3 X4 X5, (X5 = (k2_arytm_0 X3 X4) → False) → X5 = (k8_arytm_2 X2 X1) → X4 = (k4_tarski k6_numbers X2) → X3 = (k4_tarski k6_numbers X1) → m1_subset_1 X2 k2_arytm_2 → m1_subset_1 X1 k2_arytm_2 → epred2_3 X5 X4 X3 → r2_hidden X4 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → r2_hidden X3 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (∀X2 X3 X1, (X3 = (k6_subset_1 X1 X2) → False) → (r2_hidden (esk6_3 X1 X2 X3) X3 → False) → r2_hidden (esk6_3 X1 X2 X3) X2 → False) → (∀X3 X1 X2, (X2 = k6_numbers → False) → ((k4_tarski k6_numbers (esk29_3 X1 X2 X3)) = X1 → False) → X3 = (k2_arytm_0 X1 X2) → r2_hidden X2 k2_arytm_2 → epred2_3 X3 X2 X1 → r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (∀X3 X1 X2, (X2 = k6_numbers → False) → ((k4_tarski k6_numbers (esk28_3 X2 X1 X3)) = X1 → False) → X3 = (k2_arytm_0 X2 X1) → r2_hidden X2 k2_arytm_2 → epred2_3 X3 X1 X2 → r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (∀X3 X2 X1, (X1 = k6_numbers → False) → (m1_subset_1 (esk28_3 X1 X2 X3) k2_arytm_2 → False) → X3 = (k2_arytm_0 X1 X2) → r2_hidden X1 k2_arytm_2 → epred2_3 X3 X2 X1 → r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (∀X3 X2 X1, (X1 = k6_numbers → False) → (m1_subset_1 (esk27_3 X1 X2 X3) k2_arytm_2 → False) → X3 = (k2_arytm_0 X1 X2) → r2_hidden X1 k2_arytm_2 → epred2_3 X3 X2 X1 → r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (∀X3 X1 X2, (X2 = k6_numbers → False) → (m1_subset_1 (esk30_3 X1 X2 X3) k2_arytm_2 → False) → X3 = (k2_arytm_0 X1 X2) → r2_hidden X2 k2_arytm_2 → epred2_3 X3 X2 X1 → r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (∀X3 X1 X2, (X2 = k6_numbers → False) → (m1_subset_1 (esk29_3 X1 X2 X3) k2_arytm_2 → False) → X3 = (k2_arytm_0 X1 X2) → r2_hidden X2 k2_arytm_2 → epred2_3 X3 X2 X1 → r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (∀X5 X4 X2 X1 X3, (X3 = k6_numbers → False) → (X5 = (k2_arytm_0 X3 X4) → False) → X1 = X3 → X4 = (k4_tarski k6_numbers X2) → X5 = (k4_tarski k6_numbers (k8_arytm_2 X1 X2)) → m1_subset_1 X2 k2_arytm_2 → m1_subset_1 X1 k2_arytm_2 → r2_hidden X3 k2_arytm_2 → epred2_3 X5 X4 X3 → r2_hidden X4 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (∀X5 X3 X1 X2 X4, (X4 = k6_numbers → False) → (X5 = (k2_arytm_0 X3 X4) → False) → X2 = X4 → X3 = (k4_tarski k6_numbers X1) → X5 = (k4_tarski k6_numbers (k8_arytm_2 X2 X1)) → m1_subset_1 X2 k2_arytm_2 → m1_subset_1 X1 k2_arytm_2 → r2_hidden X4 k2_arytm_2 → epred2_3 X5 X4 X3 → r2_hidden X3 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (∀X1 X3 X2, (m1_subset_1 (esk26_3 X1 X2 X3) k2_arytm_2 → False) → X3 = (k2_arytm_0 X1 X2) → r2_hidden X2 k2_arytm_2 → r2_hidden X1 k2_arytm_2 → epred2_3 X3 X2 X1 → False) → (∀X1 X3 X2, (m1_subset_1 (esk25_3 X1 X2 X3) k2_arytm_2 → False) → X3 = (k2_arytm_0 X1 X2) → r2_hidden X2 k2_arytm_2 → r2_hidden X1 k2_arytm_2 → epred2_3 X3 X2 X1 → False) → (∀X1 X3 X2, (X3 = (k6_subset_1 X1 X2) → False) → (r2_hidden (esk6_3 X1 X2 X3) X3 → False) → (r2_hidden (esk6_3 X1 X2 X3) X1 → False) → False) → (∀X3 X2 X1, (X1 = k6_numbers → False) → ((esk30_3 X2 X1 X3) = X1 → False) → X3 = (k2_arytm_0 X2 X1) → r2_hidden X1 k2_arytm_2 → epred2_3 X3 X1 X2 → r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (∀X3 X2 X1, (X1 = k6_numbers → False) → ((esk27_3 X1 X2 X3) = X1 → False) → X3 = (k2_arytm_0 X1 X2) → r2_hidden X1 k2_arytm_2 → epred2_3 X3 X2 X1 → r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (∀X2 X1 X3 X4 X5, (X5 = (k2_arytm_0 X3 X4) → False) → X2 = X4 → X1 = X3 → X5 = (k8_arytm_2 X1 X2) → m1_subset_1 X2 k2_arytm_2 → m1_subset_1 X1 k2_arytm_2 → r2_hidden X4 k2_arytm_2 → r2_hidden X3 k2_arytm_2 → epred2_3 X5 X4 X3 → False) → (∀X1 X3 X2, ((esk26_3 X2 X1 X3) = X1 → False) → X3 = (k2_arytm_0 X2 X1) → r2_hidden X2 k2_arytm_2 → r2_hidden X1 k2_arytm_2 → epred2_3 X3 X1 X2 → False) → (∀X1 X3 X2, ((esk25_3 X1 X2 X3) = X1 → False) → X3 = (k2_arytm_0 X1 X2) → r2_hidden X2 k2_arytm_2 → r2_hidden X1 k2_arytm_2 → epred2_3 X3 X2 X1 → 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, ((k8_arytm_2 (k8_arytm_2 X1 X2) X3) = (k8_arytm_2 X1 (k8_arytm_2 X2 X3)) → False) → m1_subset_1 X3 k2_arytm_2 → m1_subset_1 X2 k2_arytm_2 → m1_subset_1 X1 k2_arytm_2 → False) → (∀X2 X3 X1, (X1 = k6_numbers → False) → X1 = (k2_arytm_0 X2 X3) → epred1_2 X3 X2 → epred2_3 X1 X3 X2 → False) → (∀X1 X2, (epred1_2 X1 X2 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → False) → (∀X1 X2, (epred1_2 X2 X1 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → False) → (∀X2 X3 X1, (X1 = (k2_arytm_0 X2 X3) → False) → X1 = k6_numbers → epred1_2 X3 X2 → epred2_3 X1 X3 X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m2_subset_1 (esk8_2 X1 X2) X1 X2 → False) → m1_subset_1 X2 (k1_zfmisc_1 X1) → 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) → (∀X3 X4 X1 X2, (r2_hidden X1 X2 → False) → r2_hidden (k4_tarski X1 X3) (k2_zfmisc_1 X2 X4) → False) → (∀X3 X4 X1 X2, (r2_hidden X1 X2 → False) → r2_hidden (k4_tarski X3 X1) (k2_zfmisc_1 X4 X2) → False) → (∀X2 X1, (epred1_2 X1 X2 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → X2 = k6_numbers → False) → (∀X1 X2, (epred1_2 X1 X2 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → X2 = k6_numbers → False) → (∀X2 X1, (epred1_2 X2 X1 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → X2 = k6_numbers → False) → (∀X1 X2, (epred1_2 X2 X1 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → X2 = k6_numbers → False) → (∀X1 X2 X3, (epred2_3 X3 X2 X1 → False) → m1_subset_1 X3 k1_numbers → m1_subset_1 X2 k1_numbers → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, (epred1_2 X1 X2 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → False) → (∀X1 X2, (epred1_2 X1 X2 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → False) → (∀X1 X2, (epred1_2 X1 X2 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → False) → (∀X2 X1, (epred1_2 X2 X1 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → False) → (∀X1 X2, (epred1_2 X2 X1 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → False) → (∀X1 X2, (epred1_2 X2 X1 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → False) → (∀X4 X3 X2 X1, (r2_hidden (k4_tarski X1 X3) (k2_zfmisc_1 X2 X4) → False) → r2_hidden X3 X4 → r2_hidden X1 X2 → False) → (∀X1 X3 X2, r2_hidden X3 X2 → r2_hidden X1 X2 → r2_hidden X1 (esk24_2 X3 X2) → False) → (∀X3 X1 X2, (X2 = k1_xboole_0 → False) → (r2_hidden X3 a_0_0_arytm_3 → False) → X3 = (k4_tarski X1 X2) → r1_arytm_3 X1 X2 → m1_subset_1 X2 k4_ordinal1 → m1_subset_1 X1 k4_ordinal1 → False) → (∀X2 X1, (X2 = (k1_tarski X1) → False) → (esk4_2 X1 X2) = X1 → r2_hidden (esk4_2 X1 X2) X2 → False) → (∀X2 X1, (epred1_2 X1 X2 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → X1 = k6_numbers → False) → (∀X1 X2, (epred1_2 X1 X2 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → X2 = k6_numbers → False) → (∀X2 X1, (epred1_2 X2 X1 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → X1 = k6_numbers → False) → (∀X1 X2, (epred1_2 X2 X1 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → X2 = k6_numbers → False) → (∀X2 X1, (epred1_2 X1 X2 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → False) → (∀X2 X1, (epred1_2 X1 X2 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → False) → (∀X2 X1, (epred1_2 X1 X2 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → False) → (∀X2 X1, (epred1_2 X2 X1 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → False) → (∀X2 X1, (epred1_2 X2 X1 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → False) → (∀X2 X1, (epred1_2 X2 X1 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → False) → (∀X2 X1, (m1_subset_1 (k8_arytm_2 X1 X2) k2_arytm_2 → False) → m1_subset_1 X2 k2_arytm_2 → m1_subset_1 X1 k2_arytm_2 → False) → (∀X2 X1, (m1_subset_1 (k2_arytm_0 X1 X2) k1_numbers → False) → m1_subset_1 X2 k1_numbers → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, (epred1_2 X1 X2 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → X2 = k6_numbers → X1 = k6_numbers → False) → (∀X1 X2, (epred1_2 X1 X2 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → X2 = k6_numbers → X1 = k6_numbers → False) → (∀X2 X1, (epred1_2 X2 X1 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → X2 = k6_numbers → X1 = k6_numbers → False) → (∀X1 X2, (epred1_2 X2 X1 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → X2 = k6_numbers → X1 = k6_numbers → False) → (∀X3 X2 X1 X4, (r2_hidden X1 X4 → False) → (r2_hidden X1 X3 → False) → X2 = (k2_xboole_0 X3 X4) → r2_hidden X1 X2 → False) → (∀X3 X2 X1 X4, (r2_hidden X1 X4 → False) → (r2_hidden X1 X3 → False) → X4 = (k6_subset_1 X2 X3) → r2_hidden X1 X2 → False) → (∀X2 X1, (epred1_2 X1 X2 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → X1 = k6_numbers → False) → (∀X2 X1, (epred1_2 X1 X2 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → X2 = k6_numbers → False) → (∀X2 X1, (epred1_2 X1 X2 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → X1 = k6_numbers → False) → (∀X2 X1, (epred1_2 X1 X2 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → X1 = k6_numbers → False) → (∀X2 X1, (epred1_2 X2 X1 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → X1 = k6_numbers → False) → (∀X2 X1, (epred1_2 X2 X1 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → X2 = k6_numbers → False) → (∀X2 X1, (epred1_2 X2 X1 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → X1 = k6_numbers → False) → (∀X2 X1, (epred1_2 X2 X1 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → X1 = k6_numbers → False) → (∀X2 X1, (epred1_2 X1 X2 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → False) → (∀X2 X1, (epred1_2 X2 X1 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → False) → (∀X2 X1 X3, (m1_subset_1 X1 X3 → False) → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X4 X3 X2 X1, X3 = (k6_subset_1 X4 X2) → r2_hidden X1 X3 → r2_hidden X1 X2 → False) → (∀X2 X1, ((k8_arytm_2 X1 X2) = (k8_arytm_2 X2 X1) → False) → m1_subset_1 X2 k2_arytm_2 → m1_subset_1 X1 k2_arytm_2 → False) → (∀X2 X1, ((k2_arytm_0 X1 X2) = (k2_arytm_0 X2 X1) → False) → m1_subset_1 X2 k1_numbers → m1_subset_1 X1 k1_numbers → False) → (∀X1 X2, (X2 = k11_arytm_3 → False) → (X1 = k11_arytm_3 → False) → (k8_arytm_2 X1 X2) = k11_arytm_3 → m1_subset_1 X2 k2_arytm_2 → m1_subset_1 X1 k2_arytm_2 → False) → (∀X2 X1, (r2_hidden (esk24_2 X1 X2) X2 → False) → r2_hidden X1 X2 → False) → (∀X2 X1 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X3 X4 X1 X2, (r2_hidden X1 X2 → False) → X3 = (k6_subset_1 X2 X4) → r2_hidden X1 X3 → False) → (∀X2 X4 X1 X3, (r2_hidden X1 X3 → False) → X3 = (k2_xboole_0 X2 X4) → r2_hidden X1 X2 → False) → (∀X2 X4 X1 X3, (r2_hidden X1 X3 → False) → X3 = (k2_xboole_0 X4 X2) → r2_hidden X1 X2 → False) → (∀X2 X1, (X2 = (k1_tarski X1) → False) → ((esk4_2 X1 X2) = X1 → False) → (r2_hidden (esk4_2 X1 X2) X2 → False) → False) → (∀X1 X2, ((k2_arytm_0 X1 X2) = k6_numbers → False) → X2 = k6_numbers → m1_subset_1 X2 k1_numbers → m1_subset_1 X1 k1_numbers → False) → (∀X1 X2, (k6_subset_1 X1 (k1_tarski X2)) = X1 → r2_hidden X2 X1 → False) → (∀X1 X2, (r2_hidden X2 a_0_1_arytm_3 → False) → X2 = (k4_tarski X1 np__1) → m1_subset_1 X1 k4_ordinal1 → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (k2_xboole_0 X1 X2) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (k2_xboole_0 X2 X1) → False) → (∀X1 X2, (r1_arytm_3 X2 X1 → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → r1_arytm_3 X1 X2 → False) → (∀X1 X2, (v1_funct_1 X2 → False) → v1_funct_1 X1 → v1_relat_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1, ((k4_tarski (esk9_1 X1) (esk10_1 X1)) = X1 → False) → r2_hidden X1 a_0_0_arytm_3 → False) → (∀X1, (r1_arytm_3 (esk9_1 X1) (esk10_1 X1) → False) → r2_hidden X1 a_0_0_arytm_3 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (k4_tarski X1 X3) = (k4_tarski X2 X4) → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (k4_tarski X3 X1) = (k4_tarski X4 X2) → False) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden X1 X2 → False) → (∀X1 X2, (v4_funct_1 X2 → False) → v4_funct_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v6_ordinal1 X2 → False) → v6_ordinal1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → r1_tarski X1 X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X1, ((k4_tarski (esk11_1 X1) np__1) = X1 → False) → r2_hidden X1 a_0_1_arytm_3 → False) → (∀X1, (m1_subset_1 (esk11_1 X1) k4_ordinal1 → False) → r2_hidden X1 a_0_1_arytm_3 → False) → (∀X1, (m1_subset_1 (esk10_1 X1) k4_ordinal1 → False) → r2_hidden X1 a_0_0_arytm_3 → False) → (∀X1, (m1_subset_1 (esk9_1 X1) k4_ordinal1 → False) → r2_hidden X1 a_0_0_arytm_3 → False) → (∀X2 X1, (v1_xboole_0 (k2_zfmisc_1 X1 X2) → False) → v1_xboole_0 X1 → False) → (∀X2 X1, (v1_xboole_0 (k2_zfmisc_1 X2 X1) → False) → v1_xboole_0 X1 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X2 X1, ((k6_subset_1 X2 (k1_tarski X1)) = X2 → False) → (r2_hidden X1 X2 → False) → False) → (∀X2 X1, (v1_relat_1 X1 → False) → v4_funct_1 X2 → m1_subset_1 X1 X2 → False) → (∀X1 X2, (v3_ordinal1 X2 → False) → v3_ordinal1 X1 → m1_subset_1 X2 X1 → False) → (∀X2 X1, (v1_funct_1 X1 → False) → v4_funct_1 X2 → m1_subset_1 X1 X2 → False) → (∀X2 X1 X3, (X1 = X3 → False) → X2 = (k1_tarski X3) → r2_hidden X1 X2 → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X1, (esk10_1 X1) = k1_xboole_0 → r2_hidden X1 a_0_0_arytm_3 → False) → (∀X2 X1 X3, (r2_hidden X1 X3 → False) → X1 = X2 → X3 = (k1_tarski X2) → False) → (∀X1, (v3_funct_1 X1 → False) → v1_funct_1 X1 → v1_zfmisc_1 X1 → v1_relat_1 X1 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_funct_1 X1 → v1_zfmisc_1 X1 → v1_relat_1 X1 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_xboole_0 X1 → v1_funct_1 X1 → v1_relat_1 X1 → False) → (∀X1, (v2_funct_1 X1 → False) → v1_xboole_0 X1 → v1_funct_1 X1 → v1_relat_1 X1 → False) → (∀X1, (v4_funct_1 (k1_tarski X1) → False) → v1_funct_1 X1 → v1_relat_1 X1 → False) → (∀X1, (v7_ordinal1 X1 → False) → m1_subset_1 X1 k4_ordinal1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_ordinal1 X1 → v2_ordinal1 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (v4_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v7_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v5_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v2_ordinal1 X1 → False) → v3_ordinal1 X1 → False) → (∀X1, (v1_ordinal1 X1 → False) → v3_ordinal1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v6_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → ((k2_arytm_0 (k2_arytm_0 esk1_0 esk2_0) esk3_0) = (k2_arytm_0 esk1_0 (k2_arytm_0 esk2_0 esk3_0)) → False) → (∀X1, r2_hidden (k4_tarski k11_arytm_3 X1) k2_arytm_2 → False) → (∀X1 X2, v1_xboole_0 (k4_tarski X1 X2) → False) → (∀X1, v1_xboole_0 (k1_tarski X1) → False) → (v1_finset_1 k1_numbers → False) → (v3_funct_1 esk21_0 → False) → (v1_zfmisc_1 esk19_0 → False) → (v1_xboole_0 esk23_0 → False) → (v1_xboole_0 esk22_0 → False) → (v1_xboole_0 esk18_0 → False) → (v1_xboole_0 esk17_0 → False) → (v1_xboole_0 esk15_0 → False) → (v1_xboole_0 np__1 → False) → (v1_xboole_0 k2_arytm_2 → False) → (v1_xboole_0 k4_ordinal1 → False) → (v1_xboole_0 k1_numbers → False) → (((k6_subset_1 (k2_xboole_0 k2_arytm_2 (