Theorem. (
t91_arytm_3)
∀k2_tarski : set → set → set, ∀r2_hidden : set → set → prop, ∀esk9_3 : set → set → set → set, ∀v1_xboole_0 : set → prop, ∀k1_zfmisc_1 : set → set, ∀m2_subset_1 : set → set → set → prop, ∀esk11_2 : set → set → set, ∀esk29_1 : set → set, ∀esk28_1 : set → set, ∀esk31_2 : set → set → set, ∀esk4_2 : set → set → set, ∀r3_arytm_3 : set → set → prop, ∀a_0_1_arytm_3 : set, ∀esk8_2 : set → set → set, ∀k10_ordinal2 : set → set → set, ∀k5_ordinal3 : set → set → set, ∀v7_ordinal1 : set → prop, ∀v1_subset_1 : set → set → prop, ∀v6_ordinal1 : set → prop, ∀esk18_1 : set → set, ∀v5_ordinal1 : set → prop, ∀esk24_1 : set → set, ∀esk23_0 : set, ∀esk15_0 : set, ∀k1_numbers : set, ∀k5_numbers : set, ∀esk22_1 : set → set, ∀esk20_0 : set, ∀k11_arytm_3 : set, ∀esk17_0 : set, ∀esk25_0 : set, ∀esk19_0 : set, ∀esk16_0 : set, ∀v2_xxreal_0 : set → prop, ∀esk10_1 : set → set, ∀k6_subset_1 : set → set → set, ∀esk21_0 : set, ∀esk27_0 : set, ∀v2_ordinal1 : set → prop, ∀v1_ordinal1 : set → prop, ∀esk26_1 : set → set, ∀esk30_1 : set → set, ∀r1_tarski : set → set → prop, ∀esk3_1 : set → set, ∀v4_ordinal1 : set → prop, ∀esk2_1 : set → set, ∀esk1_0 : set, ∀esk14_1 : set → set, ∀esk5_2 : set → set → set, ∀esk7_2 : set → set → set, ∀esk6_2 : set → set → set, ∀esk12_1 : set → set, ∀esk13_1 : set → set, ∀k11_ordinal2 : set → set → set, ∀np__1 : set, ∀v3_ordinal1 : set → prop, ∀k2_xboole_0 : set → set → set, ∀r1_ordinal1 : set → set → prop, ∀a_0_0_arytm_3 : set, ∀r1_arytm_3 : set → set → prop, ∀k4_ordinal1 : set, ∀k1_tarski : set → set, ∀k1_xboole_0 : set, ∀k9_arytm_3 : set → set → set, ∀k9_ordinal3 : set → set → set, ∀k7_arytm_3 : set → set, ∀k6_arytm_3 : set → set, ∀k8_ordinal3 : set → set → set, ∀k8_arytm_3 : set → set → set, ∀k5_arytm_3 : set, ∀m1_subset_1 : set → set → prop, (∀X2 X1, ((k8_arytm_3 (k8_ordinal3 (k9_ordinal3 (k6_arytm_3 X1) (k7_arytm_3 X2)) (k9_ordinal3 (k6_arytm_3 X2) (k7_arytm_3 X1))) (k9_ordinal3 (k7_arytm_3 X1) (k7_arytm_3 X2))) = (k9_arytm_3 X1 X2) → False) → m1_subset_1 X2 k5_arytm_3 → m1_subset_1 X1 k5_arytm_3 → False) → (∀X3 X2 X1, (X3 = (k2_tarski X1 X2) → False) → (esk9_3 X1 X2 X3) = X1 → r2_hidden (esk9_3 X1 X2 X3) X3 → False) → (∀X3 X2 X1, (X3 = (k2_tarski X1 X2) → False) → (esk9_3 X1 X2 X3) = X2 → r2_hidden (esk9_3 X1 X2 X3) X3 → False) → (∀X3 X2 X1, (X3 = (k2_tarski X1 X2) → False) → ((esk9_3 X1 X2 X3) = X2 → False) → ((esk9_3 X1 X2 X3) = X1 → False) → (r2_hidden (esk9_3 X1 X2 X3) X3 → False) → False) → (∀X3 X1 X2, (X2 = k1_xboole_0 → False) → (r2_hidden X3 a_0_0_arytm_3 → False) → X3 = (k2_tarski (k2_tarski X1 X2) (k1_tarski X1)) → r1_arytm_3 X1 X2 → m1_subset_1 X2 k4_ordinal1 → m1_subset_1 X1 k4_ordinal1 → 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, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m2_subset_1 (esk11_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) → (∀X1, ((k2_tarski (k2_tarski (esk28_1 X1) (esk29_1 X1)) (k1_tarski (esk28_1 X1))) = X1 → False) → (r2_hidden X1 k4_ordinal1 → False) → m1_subset_1 X1 k5_arytm_3 → False) → (∀X1 X2, (r1_ordinal1 X1 X2 → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → r2_hidden X1 (k2_xboole_0 X2 (k1_tarski X2)) → False) → (∀X1 X3 X2, r2_hidden X3 X2 → r2_hidden X1 X2 → r2_hidden X1 (esk31_2 X3 X2) → False) → (∀X2 X5 X4 X1 X3, (X3 = np__1 → False) → X2 = (k11_ordinal2 X3 X5) → X1 = (k11_ordinal2 X3 X4) → v3_ordinal1 X5 → v3_ordinal1 X4 → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → r1_arytm_3 X1 X2 → False) → (∀X2 X1, ((k9_arytm_3 X2 (esk4_2 X2 X1)) = X1 → False) → r3_arytm_3 X2 X1 → m1_subset_1 X2 k5_arytm_3 → m1_subset_1 X1 k5_arytm_3 → False) → (∀X1, ((k2_tarski (k2_tarski (esk12_1 X1) (esk13_1 X1)) (k1_tarski (esk12_1 X1))) = X1 → False) → r2_hidden X1 a_0_0_arytm_3 → False) → (∀X1 X2, (r2_hidden X2 a_0_1_arytm_3 → False) → X2 = (k2_tarski (k2_tarski X1 np__1) (k1_tarski X1)) → m1_subset_1 X1 k4_ordinal1 → False) → (∀X2 X1, (m1_subset_1 (esk4_2 X1 X2) k5_arytm_3 → False) → r3_arytm_3 X1 X2 → m1_subset_1 X2 k5_arytm_3 → m1_subset_1 X1 k5_arytm_3 → False) → (∀X1 X3 X2, (r3_arytm_3 X3 X2 → False) → X2 = (k9_arytm_3 X3 X1) → m1_subset_1 X3 k5_arytm_3 → m1_subset_1 X2 k5_arytm_3 → m1_subset_1 X1 k5_arytm_3 → False) → (∀X2 X1, ((k11_ordinal2 (esk6_2 X1 X2) (esk7_2 X1 X2)) = X1 → False) → (r1_arytm_3 X1 X2 → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, ((k11_ordinal2 (esk6_2 X2 X1) (esk8_2 X2 X1)) = X1 → False) → (r1_arytm_3 X2 X1 → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, (X2 = (k1_tarski X1) → False) → (esk5_2 X1 X2) = X1 → r2_hidden (esk5_2 X1 X2) X2 → False) → (∀X1 X2, (r2_hidden X1 (k2_xboole_0 X2 (k1_tarski X2)) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → r1_ordinal1 X1 X2 → False) → (∀X1, ((k2_tarski (k2_tarski (esk14_1 X1) np__1) (k1_tarski (esk14_1 X1))) = X1 → False) → r2_hidden X1 a_0_1_arytm_3 → False) → (∀X2 X1 X3, (X2 = (k10_ordinal2 X3 X1) → False) → X1 = (k5_ordinal3 X2 X3) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → r1_ordinal1 X3 X2 → False) → (∀X2 X1 X3, (X3 = (k5_ordinal3 X1 X2) → False) → X1 = (k10_ordinal2 X2 X3) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → r1_ordinal1 X2 X1 → False) → (∀X1 X2, ((k8_ordinal3 X1 X2) = (k9_arytm_3 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → m1_subset_1 X2 k5_arytm_3 → m1_subset_1 X1 k5_arytm_3 → False) → (∀X2 X1, (m1_subset_1 (k9_arytm_3 X1 X2) k5_arytm_3 → False) → m1_subset_1 X2 k5_arytm_3 → m1_subset_1 X1 k5_arytm_3 → False) → (∀X1, v3_ordinal1 X1 → v1_xboole_0 (k2_xboole_0 X1 (k1_tarski X1)) → False) → (∀X1, m1_subset_1 X1 k5_arytm_3 → r2_hidden X1 esk1_0 → r3_arytm_3 (esk2_1 X1) X1 → False) → (∀X2 X1, (r3_arytm_3 X2 X1 → False) → (r3_arytm_3 X1 X2 → False) → m1_subset_1 X2 k5_arytm_3 → m1_subset_1 X1 k5_arytm_3 → 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, ((k9_arytm_3 X1 X2) = (k9_arytm_3 X2 X1) → False) → m1_subset_1 X2 k5_arytm_3 → m1_subset_1 X1 k5_arytm_3 → False) → (∀X1, (X1 = k4_ordinal1 → False) → v3_ordinal1 X1 → v4_ordinal1 X1 → r2_hidden k1_xboole_0 X1 → r1_tarski X1 (esk3_1 X1) → False) → (∀X1 X2, (m1_subset_1 (k8_arytm_3 X1 X2) k5_arytm_3 → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X2 X1, (r2_hidden (esk31_2 X1 X2) X2 → False) → r2_hidden X1 X2 → 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 X3 X1, (X1 = k1_xboole_0 → False) → (r1_ordinal1 X3 X2 → False) → X1 = (k5_ordinal3 X2 X3) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, (X2 = (k1_tarski X1) → False) → ((esk5_2 X1 X2) = X1 → False) → (r2_hidden (esk5_2 X1 X2) X2 → False) → False) → (∀X1, (r2_hidden X1 k4_ordinal1 → False) → (r1_arytm_3 (esk28_1 X1) (esk29_1 X1) → False) → m1_subset_1 X1 k5_arytm_3 → False) → (∀X1, (r2_hidden (esk2_1 X1) esk1_0 → False) → m1_subset_1 X1 k5_arytm_3 → r2_hidden X1 esk1_0 → False) → (∀X1, (m1_subset_1 (esk2_1 X1) k5_arytm_3 → False) → m1_subset_1 X1 k5_arytm_3 → r2_hidden X1 esk1_0 → False) → (∀X2 X1, (r1_arytm_3 X1 X2 → False) → (v3_ordinal1 (esk8_2 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, (r1_arytm_3 X1 X2 → False) → (v3_ordinal1 (esk7_2 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, (r1_arytm_3 X1 X2 → False) → (v3_ordinal1 (esk6_2 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X1 X2, (v7_ordinal1 (k5_ordinal3 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X1 X2, (v7_ordinal1 (k11_ordinal2 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X1 X2, (v3_ordinal1 (k5_ordinal3 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X1 X2, (v3_ordinal1 (k11_ordinal2 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X1 X2, (v3_ordinal1 (k9_ordinal3 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X1 X2, (v3_ordinal1 (k8_ordinal3 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → v7_ordinal1 X2 → v7_ordinal1 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) → (∀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, (v7_ordinal1 (k2_xboole_0 X1 (k1_tarski X1)) → False) → v3_ordinal1 X1 → v7_ordinal1 X1 → False) → (∀X1 X2, ((k8_ordinal3 X1 X2) = (k10_ordinal2 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X1 X2, ((k9_ordinal3 X1 X2) = (k11_ordinal2 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X1 X2, ((k9_ordinal3 X1 X2) = (k9_ordinal3 X2 X1) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X1 X2, ((k8_ordinal3 X1 X2) = (k8_ordinal3 X2 X1) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X1, (X1 = k4_ordinal1 → False) → (r2_hidden k1_xboole_0 (esk3_1 X1) → False) → v3_ordinal1 X1 → v4_ordinal1 X1 → r2_hidden k1_xboole_0 X1 → False) → (∀X1 X2, X2 = (k2_xboole_0 X1 (k1_tarski X1)) → v3_ordinal1 X2 → v3_ordinal1 X1 → v4_ordinal1 X2 → False) → (∀X1 X3 X2, (X1 = (k5_ordinal3 X2 X3) → False) → (r1_ordinal1 X3 X2 → False) → X1 = k1_xboole_0 → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → 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, (r2_hidden X1 k4_ordinal1 → False) → (m1_subset_1 (esk29_1 X1) k4_ordinal1 → False) → m1_subset_1 X1 k5_arytm_3 → False) → (∀X1, (r2_hidden X1 k4_ordinal1 → False) → (m1_subset_1 (esk28_1 X1) k4_ordinal1 → False) → m1_subset_1 X1 k5_arytm_3 → False) → (∀X2 X1, (r1_tarski X2 X1 → False) → X2 = k4_ordinal1 → v3_ordinal1 X1 → v4_ordinal1 X1 → r2_hidden k1_xboole_0 X1 → False) → (∀X1 X2, (r1_arytm_3 X2 X1 → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → r1_arytm_3 X1 X2 → False) → (∀X1 X2, (r1_tarski X1 X2 → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → r1_ordinal1 X1 X2 → False) → (∀X1 X2, (r1_ordinal1 X1 X2 → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → r1_tarski X1 X2 → False) → (∀X2 X1, (r1_arytm_3 X1 X2 → False) → (esk6_2 X1 X2) = np__1 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X1, ((k2_xboole_0 (esk30_1 X1) (k1_tarski (esk30_1 X1))) = X1 → False) → (v4_ordinal1 X1 → False) → v3_ordinal1 X1 → False) → (∀X3 X2 X1 X4, (X1 = X4 → False) → (X1 = X3 → False) → X2 = (k2_tarski X3 X4) → r2_hidden X1 X2 → False) → (∀X1, (v3_ordinal1 (k2_xboole_0 X1 (k1_tarski X1)) → False) → v3_ordinal1 X1 → False) → (∀X1, (r1_arytm_3 (esk12_1 X1) (esk13_1 X1) → False) → r2_hidden X1 a_0_0_arytm_3 → False) → (∀X1, (X1 = k4_ordinal1 → False) → (v4_ordinal1 (esk3_1 X1) → False) → v3_ordinal1 X1 → v4_ordinal1 X1 → r2_hidden k1_xboole_0 X1 → False) → (∀X1, (X1 = k4_ordinal1 → False) → (v3_ordinal1 (esk3_1 X1) → False) → v3_ordinal1 X1 → v4_ordinal1 X1 → r2_hidden k1_xboole_0 X1 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X1 X2, r2_hidden X1 X2 → r1_tarski X2 X1 → False) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden X1 X2 → False) → (∀X2 X1, (v7_ordinal1 (k10_ordinal2 X1 X2) → False) → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X2 X1, (v3_ordinal1 (k10_ordinal2 X1 X2) → False) → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X2 X1, (v3_ordinal1 (k10_ordinal2 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, (v3_ordinal1 (k5_ordinal3 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, (v3_ordinal1 (k11_ordinal2 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, (v3_ordinal1 (k2_xboole_0 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X1 X2, (v6_ordinal1 X2 → False) → v6_ordinal1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (r1_ordinal1 X2 X1 → False) → (r1_ordinal1 X1 X2 → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → r1_tarski X1 X2 → False) → (∀X2 X4 X1 X3, (r2_hidden X1 X3 → False) → X1 = X2 → X3 = (k2_tarski X2 X4) → False) → (∀X2 X4 X1 X3, (r2_hidden X1 X3 → False) → X1 = X2 → X3 = (k2_tarski X4 X2) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X1, (r2_hidden X1 k4_ordinal1 → False) → (esk29_1 X1) = np__1 → m1_subset_1 X1 k5_arytm_3 → False) → (∀X1, (r2_hidden X1 k4_ordinal1 → False) → (esk29_1 X1) = k1_xboole_0 → m1_subset_1 X1 k5_arytm_3 → False) → (∀X1, (m1_subset_1 (esk14_1 X1) k4_ordinal1 → False) → r2_hidden X1 a_0_1_arytm_3 → False) → (∀X1, (m1_subset_1 (esk13_1 X1) k4_ordinal1 → False) → r2_hidden X1 a_0_0_arytm_3 → False) → (∀X1, (m1_subset_1 (esk12_1 X1) k4_ordinal1 → False) → r2_hidden X1 a_0_0_arytm_3 → False) → (∀X1, (m1_subset_1 (k7_arytm_3 X1) k4_ordinal1 → False) → m1_subset_1 X1 k5_arytm_3 → False) → (∀X1, (m1_subset_1 (k6_arytm_3 X1) k4_ordinal1 → False) → m1_subset_1 X1 k5_arytm_3 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1 X2, (v3_ordinal1 X2 → False) → v3_ordinal1 X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v3_ordinal1 X2 → False) → v3_ordinal1 X1 → m1_subset_1 X2 X1 → False) → (∀X2 X1 X3, (X1 = X3 → False) → X2 = (k1_tarski X3) → r2_hidden X1 X2 → False) → (∀X1, (v7_ordinal1 X1 → False) → v3_ordinal1 X1 → m1_subset_1 X1 k5_arytm_3 → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk26_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk18_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X1, (X1 = np__1 → False) → v3_ordinal1 X1 → r1_arytm_3 k1_xboole_0 X1 → False) → (∀X2 X1, (r1_ordinal1 X1 X1 → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X1, (esk13_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, (v1_xboole_0 X1 → False) → (v1_subset_1 (esk26_1 X1) X1 → False) → False) → (∀X1, (v7_ordinal1 X1 → False) → r2_hidden X1 k4_ordinal1 → False) → (∀X1, (v7_ordinal1 X1 → False) → m1_subset_1 X1 k4_ordinal1 → False) → (∀X1, (v4_ordinal1 X1 → False) → (v3_ordinal1 (esk30_1 X1) → False) → v3_ordinal1 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → (r2_hidden k1_xboole_0 X1 → False) → v3_ordinal1 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk18_1 X1) → False) → (∀X1, ((k11_ordinal2 np__1 X1) = X1 → False) → v3_ordinal1 X1 → False) → (∀X1, ((k11_ordinal2 X1 np__1) = X1 → False) → v3_ordinal1 X1 → False) → (∀X1, (r2_hidden X1 k4_ordinal1 → False) → v7_ordinal1 X1 → 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, (r2_hidden k1_xboole_0 X1 → False) → X1 = k4_ordinal1 → False) → (∀X1, (v5_ordinal1 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, (v7_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v3_ordinal1 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) → (∀X1, (v4_ordinal1 X1 → False) → X1 = k4_ordinal1 → False) → (∀X1, (v3_ordinal1 X1 → False) → X1 = k4_ordinal1 → False) → (∀X1, v1_xboole_0 (k2_xboole_0 X1 (k1_tarski X1)) → False) → (∀X1 X2, v1_xboole_0 (k2_tarski X1 X2) → False) → (∀X1, v1_subset_1 (esk24_1 X1) X1 → False) → (∀X1, v1_xboole_0 (k1_tarski X1) → False) → (∀X1, v1_xboole_0 (k1_zfmisc_1 X1) → False) → (v1_xboole_0 esk27_0 → False) → (v1_xboole_0 esk23_0 → False) → (v1_xboole_0 esk21_0 → False) → (v1_xboole_0 esk15_0 → False) → (v1_xboole_0 esk1_0 → False) → (v1_xboole_0 np__1 → False) → (v1_xboole_0 k4_ordinal1 → False) → (v1_xboole_0 k5_arytm_3 → False) → (∀X1, (r2_hidden X1 (k2_xboole_0 X1 (k1_tarski X1)) → False) → False) → ((m2_subset_1 np__1 k1_numbers k5_numbers → False) → False) → (∀X1 X2, (m1_subset_1 (k6_subset_1 X1 X2) (k1_zfmisc_1 X1) → False) → False) → (((k2_xboole_0 (k6_subset_1 a_0_0_arytm_3 a_0_1_arytm_3) k4_ordinal1) = k5_arytm_3 → False) → False) → (∀X2 X1, ((k2_xboole_0 X1 X2) = (k2_xboole_0 X2 X1) → False) → False) → (∀X2 X1, ((k2_tarski X1 X2) = (k2_tarski X2 X1) → False) → False) → (∀X1, (m1_subset_1 (esk24_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk22_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk10_1 X1) X1 → False) → False) → ((m1_subset_1 esk1_0 (k1_zfmisc_1 k5_arytm_3) → False) → False) → (∀X1, ((k2_xboole_0 X1 X1) = X1 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → (∀X1, ((k6_subset_1 X1 k1_xboole_0) = X1 → False) → False) → (∀X1, ((k2_xboole_0 X1 k1_xboole_0) = X1 → False) → False) → (∀X1, ((k6_subset_1 k1_xboole_0 X1) = k1_xboole_0 → False) → False) → ((r1_tarski k4_ordinal1 k5_arytm_3 → False) → False) → ((r2_hidden esk1_0 k5_arytm_3 → False) → False) → ((m1_subset_1 esk20_0 k5_arytm_3 → False) → False) → ((m1_subset_1 esk15_0 k5_arytm_3 → False) → False) → ((m1_subset_1 k11_arytm_3 k5_arytm_3 → False) → False) → ((m1_subset_1 np__1 k5_numbers → False) → False) → ((m1_subset_1 np__1 k1_numbers → False) → False) → ((m1_subset_1 k1_xboole_0 k4_ordinal1 → False) → False) → (∀X1, (v1_xboole_0 (esk22_1 X1) → False) → False) → ((v2_xxreal_0 np__1 → False) → False) → ((v4_ordinal1 esk17_0 → False) → False) → ((v2_ordinal1 esk21_0 → False) → False) → ((