Theorem. (
t9_yellow_8)
∀r1_tarski : set → set → prop, ∀esk4_4 : set → set → set → set → set, ∀k1_cantor_1 : set → set → set, ∀esk5_3 : set → set → set → set, ∀esk6_3 : set → set → set → set, ∀esk7_3 : set → set → set → set, ∀esk9_2 : set → set → set, ∀esk29_2 : set → set → set, ∀esk25_1 : set → set, ∀v5_finset_1 : set → prop, ∀esk26_1 : set → set, ∀esk23_1 : set → set, ∀esk15_1 : set → set, ∀v4_finsub_1 : set → prop, ∀v1_finsub_1 : set → prop, ∀v3_finsub_1 : set → prop, ∀esk2_0 : set, ∀esk1_0 : set, ∀esk3_0 : set, ∀esk28_0 : set, ∀esk14_0 : set, ∀esk11_0 : set, ∀esk16_0 : set, ∀esk10_0 : set, ∀o_0_0_xboole_0 : set, ∀esk12_1 : set → set, ∀esk19_1 : set → set, ∀esk20_0 : set, ∀esk18_0 : set, ∀esk22_1 : set → set, ∀k1_xboole_0 : set, ∀l1_struct_0 : set → prop, ∀esk21_1 : set → set, ∀v2_setfam_1 : set → prop, ∀esk17_1 : set → set, ∀esk24_1 : set → set, ∀esk27_1 : set → set, ∀v1_finset_1 : set → prop, ∀v1_zfmisc_1 : set → prop, ∀v1_subset_1 : set → set → prop, ∀v1_xboole_0 : set → prop, ∀v2_tops_1 : set → set → prop, ∀v3_pre_topc : set → set → prop, ∀esk8_2 : set → set → set, ∀k3_tarski : set → set, ∀u1_pre_topc : set → set, ∀k5_setfam_1 : set → set → set, ∀l1_pre_topc : set → prop, ∀v1_tops_2 : set → set → prop, ∀a_3_0_yellow_8 : set → set → set → set, ∀r2_hidden : set → set → prop, ∀v1_cantor_1 : set → set → prop, ∀esk13_4 : set → set → set → set → set, ∀u1_struct_0 : set → set, ∀k1_zfmisc_1 : set → set, ∀m1_subset_1 : set → set → prop, (∀X3 X4 X1 X2, (m1_subset_1 (esk13_4 X1 X2 X3 X4) (k1_zfmisc_1 (u1_struct_0 X2)) → False) → l1_pre_topc X2 → v1_cantor_1 X3 X2 → v1_tops_2 X3 X2 → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2)) → r2_hidden X1 (a_3_0_yellow_8 X2 X3 X4) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X2))) → False) → (∀X3 X4 X1 X2, (r1_tarski (esk13_4 X1 X2 X3 X4) X4 → False) → l1_pre_topc X2 → v1_cantor_1 X3 X2 → v1_tops_2 X3 X2 → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2)) → r2_hidden X1 (a_3_0_yellow_8 X2 X3 X4) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X2))) → False) → (∀X3 X4 X1 X2, (r2_hidden (esk13_4 X1 X2 X3 X4) X3 → False) → l1_pre_topc X2 → v1_cantor_1 X3 X2 → v1_tops_2 X3 X2 → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2)) → r2_hidden X1 (a_3_0_yellow_8 X2 X3 X4) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X2))) → False) → (∀X4 X1 X2 X3, (m1_subset_1 (esk4_4 X1 X2 X3 X4) (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → X3 = (k1_cantor_1 X1 X2) → r2_hidden X4 X3 → m1_subset_1 X4 (k1_zfmisc_1 X1) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X1 X2 X3 X4, ((k5_setfam_1 X2 (esk4_4 X2 X3 X4 X1)) = X1 → False) → X4 = (k1_cantor_1 X2 X3) → r2_hidden X1 X4 → m1_subset_1 X1 (k1_zfmisc_1 X2) → m1_subset_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → False) → (∀X4 X1 X2 X3, (r1_tarski (esk4_4 X1 X2 X3 X4) X2 → False) → X3 = (k1_cantor_1 X1 X2) → r2_hidden X4 X3 → m1_subset_1 X4 (k1_zfmisc_1 X1) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X3 X4 X1 X2, ((esk13_4 X1 X2 X3 X4) = X1 → False) → l1_pre_topc X2 → v1_cantor_1 X3 X2 → v1_tops_2 X3 X2 → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2)) → r2_hidden X1 (a_3_0_yellow_8 X2 X3 X4) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X2))) → False) → (∀X4 X1 X2 X3, (X3 = (k1_cantor_1 X1 X2) → False) → (esk5_3 X1 X2 X3) = (k5_setfam_1 X1 X4) → r1_tarski X4 X2 → m1_subset_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → r2_hidden (esk5_3 X1 X2 X3) X3 → False) → (∀X1 X5 X4 X2 X3, (r2_hidden X3 (a_3_0_yellow_8 X2 X4 X5) → False) → X1 = X3 → l1_pre_topc X2 → v1_cantor_1 X4 X2 → v1_tops_2 X4 X2 → r2_hidden X1 X4 → r1_tarski X1 X5 → m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X2))) → False) → (∀X3 X1 X2, (X3 = (k1_cantor_1 X1 X2) → False) → ((k5_setfam_1 X1 (esk6_3 X1 X2 X3)) = (esk5_3 X1 X2 X3) → False) → (r2_hidden (esk5_3 X1 X2 X3) X3 → False) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X3 X1 X2, (X3 = (k1_cantor_1 X1 X2) → False) → (r2_hidden (esk5_3 X1 X2 X3) X3 → False) → (m1_subset_1 (esk6_3 X1 X2 X3) (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X3 X1 X2, (X3 = (k1_cantor_1 X1 X2) → False) → (r2_hidden (esk5_3 X1 X2 X3) X3 → False) → (r1_tarski (esk6_3 X1 X2 X3) X2 → False) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X3 X2 X1 X4 X5, (r2_hidden X4 X5 → False) → X5 = (k1_cantor_1 X2 X3) → X4 = (k5_setfam_1 X2 X1) → r1_tarski X1 X3 → m1_subset_1 X4 (k1_zfmisc_1 X2) → m1_subset_1 X5 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → False) → (∀X3 X1 X2, (X3 = (k1_cantor_1 X1 X2) → False) → (m1_subset_1 (esk5_3 X1 X2 X3) (k1_zfmisc_1 X1) → False) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X2 X1, (v1_cantor_1 X2 X1 → False) → l1_pre_topc X1 → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X1))) → r1_tarski (u1_pre_topc X1) (k1_cantor_1 (u1_struct_0 X1) X2) → False) → (∀X1 X2, (r1_tarski (u1_pre_topc X2) (k1_cantor_1 (u1_struct_0 X2) X1) → False) → l1_pre_topc X2 → v1_cantor_1 X1 X2 → m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X2))) → False) → (∀X3 X2 X1, (X2 = (k3_tarski X1) → False) → r2_hidden X3 X1 → r2_hidden (esk8_2 X1 X2) X3 → r2_hidden (esk8_2 X1 X2) X2 → False) → (∀X1 X2 X3, (r2_hidden (esk7_3 X1 X2 X3) X1 → False) → X2 = (k3_tarski X1) → r2_hidden X3 X2 → False) → (∀X2 X3 X1, (r2_hidden X1 (esk7_3 X2 X3 X1) → False) → X3 = (k3_tarski X2) → r2_hidden X1 X3 → False) → (∀X1 X2, (X2 = (k3_tarski X1) → False) → (r2_hidden (esk8_2 X1 X2) X2 → False) → (r2_hidden (esk8_2 X1 X2) (esk9_2 X1 X2) → False) → False) → (∀X2 X1, (m1_subset_1 (k1_cantor_1 X2 X1) (k1_zfmisc_1 (k1_zfmisc_1 X2)) → False) → m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → False) → (∀X1 X3 X2, r2_hidden X3 X2 → r2_hidden X1 X2 → r2_hidden X1 (esk29_2 X3 X2) → False) → (∀X1 X2, (v3_pre_topc X1 X2 → False) → l1_pre_topc X2 → r2_hidden X1 (u1_pre_topc X2) → m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X1 X2, (r2_hidden X1 (u1_pre_topc X2) → False) → l1_pre_topc X2 → v3_pre_topc X1 X2 → m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X2 X1, (m1_subset_1 (k5_setfam_1 X2 X1) (k1_zfmisc_1 X2) → False) → m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → False) → (∀X1 X2, (X2 = (k3_tarski X1) → False) → (r2_hidden (esk8_2 X1 X2) X2 → False) → (r2_hidden (esk9_2 X1 X2) X1 → False) → False) → (∀X2 X1, (v2_tops_1 X2 X1 → False) → l1_pre_topc X1 → v1_xboole_0 X2 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X1, (m1_subset_1 (u1_pre_topc X1) (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X1))) → False) → l1_pre_topc X1 → False) → (∀X2 X1, ((k5_setfam_1 X2 X1) = (k3_tarski X1) → False) → m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → False) → (∀X2 X1 X3, (m1_subset_1 X1 X3 → False) → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X3 X2 X1 X4, (r2_hidden X1 X4 → False) → X4 = (k3_tarski X3) → r2_hidden X2 X3 → r2_hidden X1 X2 → False) → (∀X2 X1, (r2_hidden (esk29_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 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, (r1_tarski X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X1, (m1_subset_1 (esk25_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_pre_topc X1 → False) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden X1 X2 → False) → (∀X1 X2, (v5_finset_1 X2 → False) → v5_finset_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_zfmisc_1 X2 → False) → v1_zfmisc_1 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) → (∀X1 X2, (v1_finset_1 X2 → False) → v1_finset_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (r1_tarski X1 (k3_tarski X2) → False) → r2_hidden X1 X2 → 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) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1 X2, (v1_finset_1 X2 → False) → v5_finset_1 X1 → m1_subset_1 X2 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (m1_subset_1 (esk27_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (m1_subset_1 (esk26_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk24_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk23_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk17_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk15_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X1, (v2_tops_1 (esk25_1 X1) X1 → False) → l1_pre_topc X1 → False) → (∀X1, (v2_setfam_1 X1 → False) → (m1_subset_1 (esk21_1 X1) X1 → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_subset_1 (esk23_1 X1) X1 → False) → False) → (∀X1, (v1_finset_1 (k3_tarski X1) → False) → v1_finset_1 X1 → v5_finset_1 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_zfmisc_1 (esk27_1 X1) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_zfmisc_1 (esk26_1 X1) → False) → (∀X1, (v2_setfam_1 X1 → False) → v1_xboole_0 (esk21_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk24_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk17_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk15_1 X1) → False) → (∀X1, (v4_finsub_1 X1 → False) → v1_finsub_1 X1 → v3_finsub_1 X1 → False) → (∀X1, (v5_finset_1 (k1_zfmisc_1 X1) → False) → v1_finset_1 X1 → False) → (∀X1, (v1_finset_1 (k1_zfmisc_1 X1) → False) → v1_finset_1 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (v1_finset_1 (esk27_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_zfmisc_1 (esk24_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_finset_1 (esk17_1 X1) → False) → False) → (∀X1, (l1_struct_0 X1 → False) → l1_pre_topc X1 → False) → (∀X1, (v5_finset_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v2_setfam_1 X1 → False) → (∀X1, (v2_setfam_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v3_finsub_1 X1 → False) → v4_finsub_1 X1 → False) → (∀X1, (v1_finsub_1 X1 → False) → v4_finsub_1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v1_zfmisc_1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v1_zfmisc_1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → ((k3_tarski (a_3_0_yellow_8 esk1_0 esk2_0 esk3_0)) = esk3_0 → False) → (∀X1, v1_subset_1 (esk22_1 X1) X1 → False) → (∀X1, v1_xboole_0 (k1_zfmisc_1 X1) → False) → (v2_setfam_1 esk18_0 → False) → (v1_xboole_0 esk28_0 → False) → (v1_xboole_0 esk20_0 → False) → (v1_xboole_0 esk14_0 → False) → ((m1_subset_1 esk2_0 (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 esk1_0))) → False) → False) → (∀X1, (m1_subset_1 (esk22_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk19_1 X1) (k1_zfmisc_1 X1) → False) → False) → ((m1_subset_1 esk3_0 (k1_zfmisc_1 (u1_struct_0 esk1_0)) → False) → False) → (∀X1, (m1_subset_1 (esk12_1 X1) X1 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → ((v3_pre_topc esk3_0 esk1_0 → False) → False) → ((v1_tops_2 esk2_0 esk1_0 → False) → False) → ((v1_cantor_1 esk2_0 esk1_0 → False) → False) → (∀X1, (v4_finsub_1 (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 (esk19_1 X1) → False) → False) → ((l1_struct_0 esk11_0 → False) → False) → ((v5_finset_1 esk28_0 → False) → False) → ((v1_xboole_0 esk16_0 → False) → False) → ((v1_xboole_0 o_0_0_xboole_0 → False) → False) → ((v1_xboole_0 k1_xboole_0 → False) → False) → ((v1_finset_1 esk28_0 → False) → False) → ((v1_finset_1 esk14_0 → False) → False) → ((l1_pre_topc esk10_0 → False) → False) → ((l1_pre_topc esk1_0 → False) → False) → ((o_0_0_xboole_0 = k1_xboole_0 → False) → False) → False