Theorem. (t8_arytm_2)
∀k6_subset_1 : set → set → set, ∀esk10_3 : set → set → set → set, ∀a_0_0_arytm_2 : set, ∀esk16_2 : set → set → set, ∀k1_zfmisc_1 : set → set, ∀m1_subset_1 : set → set → prop, ∀k5_arytm_3 : set, ∀r3_arytm_3 : set → set → prop, ∀esk15_2 : set → set → set, ∀k7_subset_1 : set → set → set → set, ∀k1_xboole_0 : set, ∀k2_tarski : set → set → set, ∀k1_tarski : set → set, ∀k4_ordinal1 : set, ∀r1_arytm_3 : set → set → prop, ∀a_0_0_arytm_3 : set, ∀v1_xboole_0 : set → prop, ∀m2_subset_1 : set → set → set → prop, ∀esk14_2 : set → set → set, ∀esk18_1 : set → set, ∀esk17_1 : set → set, ∀esk22_2 : set → set → set, ∀esk6_2 : set → set → set, ∀esk19_1 : set → set, ∀r1_tarski : set → set → prop, ∀esk5_1 : set → set, ∀esk4_1 : set → set, ∀esk7_2 : set → set → set, ∀v1_subset_1 : set → set → prop, ∀v6_ordinal1 : set → prop, ∀v7_ordinal1 : set → prop, ∀esk36_1 : set → set, ∀esk34_1 : set → set, ∀esk33_0 : set, ∀esk26_0 : set, ∀k1_arytm_2 : set, ∀k1_numbers : set, ∀k5_numbers : set, ∀esk30_0 : set, ∀v2_xxreal_0 : set → prop, ∀esk29_0 : set, ∀esk35_0 : set, ∀esk27_0 : set, ∀o_0_0_xboole_0 : set, ∀esk3_0 : set, ∀esk11_1 : set → set, ∀esk32_1 : set → set, ∀esk31_0 : set, ∀esk37_0 : set, ∀v5_ordinal1 : set → prop, ∀v2_ordinal1 : set → prop, ∀v1_ordinal1 : set → prop, ∀esk28_1 : set → set, ∀esk20_1 : set → set, ∀a_0_2_arytm_2 : set, ∀k11_arytm_3 : set, ∀v3_ordinal1 : set → prop, ∀esk1_0 : set, ∀esk2_0 : set, ∀esk38_2 : set → set → set, ∀np__1 : set, ∀a_0_1_arytm_3 : set, ∀esk39_2 : set → set → set, ∀esk21_2 : set → set → set, ∀a_1_0_arytm_2 : set → set, ∀esk25_2 : set → set → set, ∀esk12_2 : set → set → set, ∀esk13_1 : set → set, ∀epred1_2 : set → set → prop, ∀esk41_2 : set → set → set, ∀esk40_2 : set → set → set, ∀k8_subset_1 : set → set → set → set, ∀esk24_2 : set → set → set, ∀esk23_2 : set → set → set, ∀r1_arytm_2 : set → set → prop, ∀k2_arytm_2 : set, ∀a_1_1_arytm_2 : set → set, ∀esk8_3 : set → set → set → set, ∀k2_xboole_0 : set → set → set, ∀r2_hidden : set → set → prop, ∀esk9_3 : set → set → set → set, ∀k3_xboole_0 : set → set → set, (∀X1 X3 X2, (X3 = (k3_xboole_0 X1 X2) → False) → r2_hidden (esk9_3 X1 X2 X3) X3 → r2_hidden (esk9_3 X1 X2 X3) X2 → r2_hidden (esk9_3 X1 X2 X3) X1 → False) → (∀X1 X3 X2, (X3 = (k6_subset_1 X1 X2) → False) → (r2_hidden (esk10_3 X1 X2 X3) X2 → False) → r2_hidden (esk10_3 X1 X2 X3) X3 → r2_hidden (esk10_3 X1 X2 X3) X1 → False) → (∀X1 X3 X2, (X3 = (k2_xboole_0 X1 X2) → False) → r2_hidden (esk8_3 X1 X2 X3) X3 → r2_hidden (esk8_3 X1 X2 X3) X1 → False) → (∀X2 X3 X1, (X3 = (k2_xboole_0 X1 X2) → False) → r2_hidden (esk8_3 X1 X2 X3) X3 → r2_hidden (esk8_3 X1 X2 X3) X2 → False) → (∀X1 X3 X2, (X3 = (k2_xboole_0 X1 X2) → False) → (r2_hidden (esk8_3 X1 X2 X3) X3 → False) → (r2_hidden (esk8_3 X1 X2 X3) X2 → False) → (r2_hidden (esk8_3 X1 X2 X3) X1 → False) → False) → (∀X2 X3 X1, (X3 = (k6_subset_1 X1 X2) → False) → (r2_hidden (esk10_3 X1 X2 X3) X3 → False) → r2_hidden (esk10_3 X1 X2 X3) X2 → False) → (∀X1 X3 X2, (X3 = (k6_subset_1 X1 X2) → False) → (r2_hidden (esk10_3 X1 X2 X3) X3 → False) → (r2_hidden (esk10_3 X1 X2 X3) X1 → False) → False) → (∀X1 X3 X2, (X3 = (k3_xboole_0 X1 X2) → False) → (r2_hidden (esk9_3 X1 X2 X3) X3 → False) → (r2_hidden (esk9_3 X1 X2 X3) X1 → False) → False) → (∀X2 X3 X1, (X3 = (k3_xboole_0 X1 X2) → False) → (r2_hidden (esk9_3 X1 X2 X3) X3 → False) → (r2_hidden (esk9_3 X1 X2 X3) X2 → False) → False) → (∀X2 X3 X1, (r2_hidden X1 a_0_0_arytm_2 → False) → (r3_arytm_3 X3 (esk15_2 X1 X2) → False) → (r3_arytm_3 (esk16_2 X1 X2) (esk15_2 X1 X2) → False) → X1 = X2 → r2_hidden X3 X2 → m1_subset_1 X3 k5_arytm_3 → m1_subset_1 X2 (k1_zfmisc_1 k5_arytm_3) → False) → (∀X2 X3 X1, (r2_hidden X1 a_0_0_arytm_2 → False) → (r3_arytm_3 X3 (esk15_2 X1 X2) → False) → X1 = X2 → r2_hidden X3 X2 → m1_subset_1 X3 k5_arytm_3 → m1_subset_1 X2 (k1_zfmisc_1 k5_arytm_3) → r2_hidden (esk16_2 X1 X2) X2 → False) → (∀X2 X3 X1, (r2_hidden X1 a_0_0_arytm_2 → False) → (r3_arytm_3 X3 (esk15_2 X1 X2) → False) → (m1_subset_1 (esk16_2 X1 X2) k5_arytm_3 → False) → X1 = X2 → r2_hidden X3 X2 → m1_subset_1 X3 k5_arytm_3 → m1_subset_1 X2 (k1_zfmisc_1 k5_arytm_3) → False) → (∀X1 X2, r2_hidden X1 (a_1_1_arytm_2 X2) → m1_subset_1 X2 (k1_zfmisc_1 k2_arytm_2) → r1_arytm_2 (esk23_2 X1 X2) (esk24_2 X1 X2) → False) → (∀X3 X2 X1, (m1_subset_1 (k7_subset_1 X2 X1 X3) (k1_zfmisc_1 X2) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X3 X2 X1, (m1_subset_1 (k8_subset_1 X2 X1 X3) (k1_zfmisc_1 X2) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X5 X2 X1 X3 X4, (r1_arytm_2 X3 X4 → False) → (r2_hidden X2 (a_1_1_arytm_2 X5) → False) → X1 = X4 → X1 = X2 → r2_hidden X3 X5 → m1_subset_1 X4 k2_arytm_2 → m1_subset_1 X3 k2_arytm_2 → m1_subset_1 X1 k5_arytm_3 → m1_subset_1 X5 (k1_zfmisc_1 k2_arytm_2) → False) → (∀X2 X1, (r3_arytm_3 (esk40_2 X1 X2) (esk41_2 X1 X2) → False) → r1_arytm_2 X2 X1 → epred1_2 X2 X1 → r2_hidden X2 k5_arytm_3 → r2_hidden X1 k5_arytm_3 → 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) → (∀X2 X1 X3 X4, (r1_arytm_2 X3 X4 → False) → X2 = X4 → X1 = X3 → r3_arytm_3 X1 X2 → epred1_2 X3 X4 → m1_subset_1 X2 k5_arytm_3 → m1_subset_1 X1 k5_arytm_3 → r2_hidden X4 k5_arytm_3 → r2_hidden X3 k5_arytm_3 → 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) → (∀X3 X2 X1, ((k8_subset_1 X2 X1 X3) = (k8_subset_1 X2 X3 X1) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1 X3, (r2_hidden X1 (esk13_1 X3) → False) → r3_arytm_3 X1 X2 → m1_subset_1 X2 k5_arytm_3 → m1_subset_1 X1 k5_arytm_3 → r2_hidden X3 a_0_0_arytm_2 → r2_hidden X2 (esk13_1 X3) → False) → (∀X1 X2, m1_subset_1 X2 k5_arytm_3 → r2_hidden X1 a_0_0_arytm_2 → r2_hidden X2 (esk13_1 X1) → r3_arytm_3 (esk14_2 X1 X2) X2 → False) → (∀X2 X1 X3 X4, (r3_arytm_3 X3 X4 → False) → X2 = X4 → X1 = X3 → r1_arytm_2 X1 X2 → m1_subset_1 X4 k5_arytm_3 → m1_subset_1 X3 k5_arytm_3 → m1_subset_1 X2 k2_arytm_2 → m1_subset_1 X1 k2_arytm_2 → False) → (∀X2 X1 X3 X4, (r1_arytm_2 X3 X4 → False) → X2 = X4 → X1 = X3 → r3_arytm_3 X1 X2 → m1_subset_1 X4 k2_arytm_2 → m1_subset_1 X3 k2_arytm_2 → m1_subset_1 X2 k5_arytm_3 → m1_subset_1 X1 k5_arytm_3 → False) → (∀X2 X1, (m1_subset_1 (esk41_2 X1 X2) k5_arytm_3 → False) → r1_arytm_2 X2 X1 → epred1_2 X2 X1 → r2_hidden X2 k5_arytm_3 → r2_hidden X1 k5_arytm_3 → False) → (∀X2 X1, (m1_subset_1 (esk40_2 X1 X2) k5_arytm_3 → False) → r1_arytm_2 X2 X1 → epred1_2 X2 X1 → r2_hidden X2 k5_arytm_3 → r2_hidden X1 k5_arytm_3 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m2_subset_1 (esk12_2 X1 X2) X1 X2 → False) → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1 X3, (r1_arytm_2 X1 X3 → False) → r1_arytm_2 X2 X3 → r1_arytm_2 X1 X2 → m1_subset_1 X3 k2_arytm_2 → m1_subset_1 X2 k2_arytm_2 → m1_subset_1 X1 k2_arytm_2 → False) → (∀X1 X2, (r2_hidden (esk14_2 X1 X2) (esk13_1 X1) → False) → m1_subset_1 X2 k5_arytm_3 → r2_hidden X1 a_0_0_arytm_2 → r2_hidden X2 (esk13_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 X2, (r1_arytm_2 X2 X1 → False) → m1_subset_1 X2 k2_arytm_2 → m1_subset_1 X1 k2_arytm_2 → r1_arytm_2 (esk25_2 X1 X2) X1 → False) → (∀X1 X2, (r1_arytm_2 X1 X2 → False) → m1_subset_1 X2 k2_arytm_2 → m1_subset_1 X1 k2_arytm_2 → r1_arytm_2 X1 (esk25_2 X2 X1) → False) → (∀X2 X1, m1_subset_1 X1 k5_arytm_3 → r2_hidden X2 (a_1_0_arytm_2 X1) → r3_arytm_3 X1 (esk21_2 X2 X1) → False) → (∀X1 X2, (m1_subset_1 (esk14_2 X1 X2) k5_arytm_3 → False) → m1_subset_1 X2 k5_arytm_3 → r2_hidden X1 a_0_0_arytm_2 → r2_hidden X2 (esk13_1 X1) → False) → (∀X1 X3 X2, r2_hidden X3 X2 → r2_hidden X1 X2 → r2_hidden X1 (esk39_2 X3 X2) → False) → (∀X1, ((k2_tarski (k2_tarski (esk17_1 X1) (esk18_1 X1)) (k1_tarski (esk17_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, (r2_hidden X1 k5_arytm_3 → False) → r2_hidden X2 X1 → r1_arytm_2 X1 X2 → epred1_2 X1 X2 → r2_hidden X2 k5_arytm_3 → False) → (∀X2 X1, ((esk41_2 X1 X2) = X1 → False) → r1_arytm_2 X2 X1 → epred1_2 X2 X1 → r2_hidden X2 k5_arytm_3 → r2_hidden X1 k5_arytm_3 → False) → (∀X2 X1, ((esk40_2 X2 X1) = X1 → False) → r1_arytm_2 X1 X2 → epred1_2 X1 X2 → r2_hidden X2 k5_arytm_3 → r2_hidden X1 k5_arytm_3 → False) → (∀X3 X2 X1, ((k7_subset_1 X2 X1 X3) = (k6_subset_1 X1 X3) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X3 X2 X1, ((k8_subset_1 X2 X1 X3) = (k3_xboole_0 X1 X3) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X1 X2, (r2_hidden (esk23_2 X1 X2) X2 → False) → r2_hidden X1 (a_1_1_arytm_2 X2) → m1_subset_1 X2 (k1_zfmisc_1 k2_arytm_2) → False) → (∀X1 X2, (m1_subset_1 (esk24_2 X1 X2) k2_arytm_2 → False) → r2_hidden X1 (a_1_1_arytm_2 X2) → m1_subset_1 X2 (k1_zfmisc_1 k2_arytm_2) → False) → (∀X1 X2, (m1_subset_1 (esk23_2 X1 X2) k2_arytm_2 → False) → r2_hidden X1 (a_1_1_arytm_2 X2) → m1_subset_1 X2 (k1_zfmisc_1 k2_arytm_2) → False) → (∀X1 X2, (m1_subset_1 (esk22_2 X1 X2) k5_arytm_3 → False) → r2_hidden X1 (a_1_1_arytm_2 X2) → m1_subset_1 X2 (k1_zfmisc_1 k2_arytm_2) → False) → (∀X2 X1, (X1 = X2 → False) → m1_subset_1 X2 (k1_zfmisc_1 X1) → r2_hidden (esk38_2 X1 X2) X2 → False) → (∀X3 X1 X2, (r2_hidden X1 X2 → False) → r2_hidden X1 (k6_subset_1 X2 (k1_tarski X3)) → False) → (∀X1 X2, (r1_arytm_2 X1 X2 → False) → m1_subset_1 X2 k2_arytm_2 → m1_subset_1 X1 k2_arytm_2 → r2_hidden X2 esk2_0 → r2_hidden X1 esk1_0 → False) → (∀X2 X1, (r1_arytm_2 X2 X1 → False) → (r2_hidden (esk25_2 X1 X2) k5_arytm_3 → False) → m1_subset_1 X2 k2_arytm_2 → m1_subset_1 X1 k2_arytm_2 → False) → (∀X2 X1, (r1_arytm_2 X2 X1 → False) → (m1_subset_1 (esk25_2 X1 X2) k2_arytm_2 → False) → m1_subset_1 X2 k2_arytm_2 → m1_subset_1 X1 k2_arytm_2 → False) → (∀X1 X2, (r1_arytm_2 X1 X2 → False) → (r2_hidden X2 k5_arytm_3 → False) → r2_hidden X1 X2 → epred1_2 X1 X2 → r2_hidden X1 k5_arytm_3 → False) → (∀X1 X2, (r2_hidden X1 X2 → False) → (r2_hidden X2 k5_arytm_3 → False) → r1_arytm_2 X1 X2 → epred1_2 X1 X2 → r2_hidden X1 k5_arytm_3 → False) → (∀X2 X1, (X2 = (k1_tarski X1) → False) → (esk6_2 X1 X2) = X1 → r2_hidden (esk6_2 X1 X2) X2 → False) → (∀X1 X2, (m1_subset_1 (esk21_2 X1 X2) k5_arytm_3 → False) → m1_subset_1 X2 k5_arytm_3 → r2_hidden X1 (a_1_0_arytm_2 X2) → False) → (∀X1, ((k2_tarski (k2_tarski (esk19_1 X1) np__1) (k1_tarski (esk19_1 X1))) = X1 → False) → r2_hidden X1 a_0_1_arytm_3 → False) → (∀X1 X2, ((esk24_2 X1 X2) = (esk22_2 X1 X2) → False) → r2_hidden X1 (a_1_1_arytm_2 X2) → m1_subset_1 X2 (k1_zfmisc_1 k2_arytm_2) → False) → (∀X2 X1, ((k8_subset_1 X2 X1 X1) = X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X3 X1 X2, X1 = X2 → r2_hidden X1 (k6_subset_1 X3 (k1_tarski X2)) → False) → (∀X1 X2, (r1_tarski X1 X2 → False) → (r2_hidden X2 k5_arytm_3 → False) → (r2_hidden X1 k5_arytm_3 → False) → r1_arytm_2 X1 X2 → epred1_2 X1 X2 → False) → (∀X1 X2, (r1_tarski X1 X2 → False) → (r2_hidden X2 k5_arytm_3 → False) → (r2_hidden X1 k5_arytm_3 → False) → r1_arytm_2 X1 X2 → epred1_2 X1 X2 → False) → (∀X1 X2, (r1_arytm_2 X1 X2 → False) → (r2_hidden X2 k5_arytm_3 → False) → (r2_hidden X1 k5_arytm_3 → False) → r1_tarski X1 X2 → epred1_2 X1 X2 → False) → (∀X1 X2, (r1_arytm_2 X1 X2 → False) → (r2_hidden X2 k5_arytm_3 → False) → (r2_hidden X1 k5_arytm_3 → False) → r1_tarski X1 X2 → epred1_2 X1 X2 → False) → (∀X1, m1_subset_1 X1 k2_arytm_2 → r1_arytm_2 X1 (esk5_1 X1) → r1_arytm_2 (esk4_1 X1) X1 → False) → (∀X1 X2, (r2_hidden X1 X2 → False) → (r1_arytm_2 X2 X1 → False) → (r2_hidden X2 k5_arytm_3 → False) → epred1_2 X2 X1 → r2_hidden X1 k5_arytm_3 → False) → (∀X2 X1, (r2_hidden X1 a_0_0_arytm_2 → False) → (r2_hidden (esk15_2 X1 X2) X2 → False) → X1 = X2 → m1_subset_1 X2 (k1_zfmisc_1 k5_arytm_3) → False) → (∀X2 X3 X1 X4, (r2_hidden X1 X4 → False) → X4 = (k3_xboole_0 X2 X3) → r2_hidden X1 X3 → r2_hidden X1 X2 → False) → (∀X2 X1, (r2_hidden X1 a_0_0_arytm_2 → False) → (m1_subset_1 (esk15_2 X1 X2) k5_arytm_3 → False) → X1 = X2 → m1_subset_1 X2 (k1_zfmisc_1 k5_arytm_3) → False) → (∀X2 X3 X1, (r3_arytm_3 X3 X1 → False) → (r2_hidden X2 (a_1_0_arytm_2 X3) → False) → X1 = X2 → m1_subset_1 X3 k5_arytm_3 → m1_subset_1 X1 k5_arytm_3 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → r2_hidden (esk7_2 X1 X2) X2 → False) → (∀X2 X1 X3, (X1 = X3 → False) → (r2_hidden X1 (k6_subset_1 X2 (k1_tarski X3)) → False) → r2_hidden X1 X2 → 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) → (∀X1 X2, ((esk22_2 X1 X2) = X1 → False) → r2_hidden X1 (a_1_1_arytm_2 X2) → m1_subset_1 X2 (k1_zfmisc_1 k2_arytm_2) → False) → (∀X1 X2, (X1 = X2 → False) → (m1_subset_1 (esk38_2 X1 X2) X1 → False) → m1_subset_1 X2 (k1_zfmisc_1 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, (r1_arytm_2 X2 X1 → False) → (r1_arytm_2 X1 X2 → False) → m1_subset_1 X2 k2_arytm_2 → m1_subset_1 X1 k2_arytm_2 → 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) → (∀X1 X2, ((esk21_2 X1 X2) = X1 → False) → m1_subset_1 X2 k5_arytm_3 → r2_hidden X1 (a_1_0_arytm_2 X2) → False) → (∀X2 X1, (r2_hidden (esk39_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) → (∀X3 X4 X1 X2, (r2_hidden X1 X2 → False) → X3 = (k6_subset_1 X2 X4) → r2_hidden X1 X3 → False) → (∀X3 X4 X1 X2, (r2_hidden X1 X2 → False) → X3 = (k3_xboole_0 X2 X4) → r2_hidden X1 X3 → False) → (∀X3 X4 X1 X2, (r2_hidden X1 X2 → False) → X3 = (k3_xboole_0 X4 X2) → 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) → ((esk6_2 X1 X2) = X1 → False) → (r2_hidden (esk6_2 X1 X2) X2 → False) → False) → (∀X1 X3 X2, (r2_hidden X3 X2 → False) → r2_hidden X3 X1 → r1_tarski X1 X2 → 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) → (∀X2 X1, (epred1_2 X1 X2 → False) → m1_subset_1 X2 k2_arytm_2 → m1_subset_1 X1 k2_arytm_2 → False) → (∀X1 X2, (r1_tarski X1 X2 → False) → (r2_hidden (esk7_2 X1 X2) X1 → False) → 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, (r1_arytm_3 (esk17_1 X1) (esk18_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) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden X1 X2 → False) → (∀X2 X1, (v3_ordinal1 (k3_xboole_0 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, (v1_xboole_0 X2 → False) → v1_xboole_0 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) → (∀X1, (m1_subset_1 (esk13_1 X1) (k1_zfmisc_1 k5_arytm_3) → False) → r2_hidden X1 a_0_0_arytm_2 → False) → (∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → r1_tarski X1 X2 → False) → (∀X2 X1, (X1 = k11_arytm_3 → False) → (r2_hidden X2 a_0_2_arytm_2 → False) → X2 = (a_1_0_arytm_2 X1) → m1_subset_1 X1 k5_arytm_3 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X1, (r2_hidden (esk5_1 X1) esk2_0 → False) → m1_subset_1 X1 k2_arytm_2 → False) → (∀X1, (r2_hidden (esk4_1 X1) esk1_0 → False) → m1_subset_1 X1 k2_arytm_2 → False) → (∀X1, (m1_subset_1 (esk20_1 X1) k5_arytm_3 → False) → r2_hidden X1 a_0_2_arytm_2 → False) → (∀X1, (m1_subset_1 (esk19_1 X1) k4_ordinal1 → False) → r2_hidden X1 a_0_1_arytm_3 → False) → (∀X1, (m1_subset_1 (esk18_1 X1) k4_ordinal1 → False) → r2_hidden X1 a_0_0_arytm_3 → False) → (∀X1, (m1_subset_1 (esk17_1 X1) k4_ordinal1 → False) → r2_hidden X1 a_0_0_arytm_3 → False) → (∀X1, (m1_subset_1 (esk5_1 X1) k2_arytm_2 → False) → m1_subset_1 X1 k2_arytm_2 → False) → (∀X1, (m1_subset_1 (esk4_1 X1) k2_arytm_2 → False) → m1_subset_1 X1 k2_arytm_2 → 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, (r3_arytm_3 k11_arytm_3 X1 → False) → m1_subset_1 X1 k5_arytm_3 → False) → (∀X1, (v7_ordinal1 X1 → False) → v3_ordinal1 X1 → m1_subset_1 X1 k5_arytm_3 → False) → (∀X1, ((a_1_0_arytm_2 (esk20_1 X1)) = X1 → False) → r2_hidden X1 a_0_2_arytm_2 → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk36_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk28_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X1, (esk20_1 X1) = k11_arytm_3 → r2_hidden X1 a_0_2_arytm_2 → False) → (∀X1, (esk18_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, ((esk13_1 X1) = X1 → False) → r2_hidden X1 a_0_0_arytm_2 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_subset_1 (esk36_1 X1) X1 → False) → False) → (∀X1, (v7_ordinal1 X1 → False) → m1_subset_1 X1 k4_ordinal1 → False) → (∀X1, X1 = k5_arytm_3 → r2_hidden X1 k2_arytm_2 → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk28_1 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, (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) → v1_xboole_0 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v6_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (∀X1 X2, v1_xboole_0 (k2_tarski X1 X2) → False) → (∀X1, v1_subset_1 (esk34_1 X1) X1 → False) → (∀X1, v1_xboole_0 (k1_tarski X1) → False) → (∀X1, v1_xboole_0 (k1_zfmisc_1 X1) → False) → (v1_xboole_0 esk37_0 → False) → (v1_xboole_0 esk33_0 → False) → (v1_xboole_0 esk31_0 → False) → (v1_xboole_0 esk26_0 → False) → (v1_xboole_0 np__1 → False) → (v1_xboole_0 k1_arytm_2 → False) → (v1_xboole_0 k4_ordinal1 → False) → (v1_xboole_0 k5_arytm_3 → False) → (v1_xboole_0 k2_arytm_2 → False) → ((r1_tarski (k7_subset_1 (k1_zfmisc_1 k5_arytm_3) k1_arytm_2 a_0_2_arytm_2) k2_arytm_2 → False) → False) → (((k8_subset_1 (k1_zfmisc_1 k5_arytm_3) k1_arytm_2 k5_arytm_3) = (k1_tarski k11_arytm_3) → 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) → ((r1_tarski k2_arytm_2 (k2_xboole_0 k5_arytm_3 a_0_0_arytm_2) → 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) → (((k6_subset_1 (k2_xboole_0 k5_arytm_3 k1_arytm_2) a_0_2_arytm_2) = k2_arytm_2 → False) → False) → (∀X2 X1, ((k3_xboole_0 X1 X2) = (k3_xboole_0 X2 X1) → 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 (esk34_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk32_1 X1) (k1_zfmisc_1 X1) → False) → False) → ((m1_subset_1 k1_arytm_2 (k1_zfmisc_1 (k1_zfmisc_1 k5_arytm_3)) → False) → False) → (∀X1, (m1_subset_1 (esk11_1 X1) X1 → False) → False) → ((m1_subset_1 esk2_0 (k1_zfmisc_1 k2_arytm_2) → False) → False) → ((m1_subset_1 esk1_0 (k1_zfmisc_1 k2_arytm_2) → False) → False) → (((k6_subset_1 a_0_0_arytm_2 (k1_tarski k5_arytm_3)) = k1_arytm_2 → False) → False) → (∀X1, ((k3_xboole_0 X1 X1) = X1 → 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) → (∀X1, ((k3_xboole_0 X1 k1_xboole_0) = k1_xboole_0 → False) → False) → ((r1_tarski k5_arytm_3 k2_arytm_2 → False) → False) → ((r2_hidden esk3_0 esk2_0 → False) → False) → ((m1_subset_1 esk30_0 k5_arytm_3 → False) → False) → ((m1_subset_1 esk26_0 k5_arytm_3 → False) → False) → ((m1_subset_1 esk3_0 k2_arytm_2 → False) → False) → ((m1_subset_1 np__1 k5_numbers → False) → False) → ((m1_subset_1 np__1 k1_numbers → False) → False) → ((m1_subset_1 k11_arytm_3 k5_arytm_3 → False) → False) → ((m1_subset_1 k1_xboole_0 k4_ordinal1 → False) → False) → (∀X1, (v1_xboole_0 (esk32_1 X1) → False) → False) → ((v2_xxreal_0 np__1 → False) → False) → ((v1_xboole_0 esk30_0 → False) → False) → ((v1_xboole_0 esk29_0 → False) → False) → ((v1_xboole_0 o_0_0_xboole_0 → False) → False) → ((v1_xboole_0 k1_xboole_0 → False) → False) → ((v2_ordinal1 esk31_0 → False) → False) → ((v1_ordinal1 esk31_0 → False) → False) → ((v7_ordinal1 esk37_0 → False) → False) → ((v7_ordinal1 esk35_0 → False) → False) → ((v3_ordinal1 esk31_0 → False) → False) → ((v3_ordinal1 esk27_0 → False) → False) → ((v3_ordinal1 esk26_0 → False) → False) → ((v3_ordinal1 k4_ordinal1 → False) → False) → ((k11_arytm_3 = k1_xboole_0 → False) → False) → ((o_0_0_xboole_0 = k1_xboole_0 → False) → False) → False
In Proofgold the corresponding term root is a0acf1... and proposition id is 64e28f...
Proof:
The rest of the proof is missing.