Theorem. (
t10_compts_1)
∀r1_tarski : set → set → prop, ∀v1_finset_1 : set → prop, ∀k4_subset_1 : set → set → set → set, ∀k5_setfam_1 : set → set → set, ∀v2_tops_1 : set → set → prop, ∀v1_xboole_0 : set → prop, ∀k3_tarski : set → set, ∀v1_subset_1 : set → set → prop, ∀v1_zfmisc_1 : set → prop, ∀esk21_1 : set → set, ∀esk18_1 : set → set, ∀esk13_1 : set → set, ∀k1_xboole_0 : set, ∀esk16_1 : set → set, ∀esk22_0 : set, ∀esk10_0 : set, ∀esk8_1 : set → set, ∀esk7_0 : set, ∀esk12_0 : set, ∀esk6_0 : set, ∀o_0_0_xboole_0 : set, ∀esk9_1 : set → set, ∀esk14_1 : set → set, ∀esk15_0 : set, ∀esk2_0 : set, ∀esk3_0 : set, ∀esk1_0 : set, ∀l1_struct_0 : set → prop, ∀esk11_1 : set → set, ∀esk17_1 : set → set, ∀esk20_1 : set → set, ∀v5_finset_1 : set → prop, ∀esk19_1 : set → set, ∀r2_hidden : set → set → prop, ∀k2_xboole_0 : set → set → set, ∀esk5_2 : set → set → set, ∀l1_pre_topc : set → prop, ∀m1_setfam_1 : set → set → prop, ∀v1_tops_2 : set → set → prop, ∀v2_compts_1 : set → set → prop, ∀esk4_3 : set → set → set → set, ∀k1_zfmisc_1 : set → set, ∀u1_struct_0 : set → set, ∀m1_subset_1 : set → set → prop, (∀X2 X3 X1, (m1_subset_1 (esk4_3 X1 X2 X3) (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X1))) → False) → l1_pre_topc X1 → v2_compts_1 X2 X1 → m1_setfam_1 X3 X2 → v1_tops_2 X3 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X1))) → False) → (∀X2 X3 X1, (r1_tarski (esk4_3 X1 X2 X3) X3 → False) → l1_pre_topc X1 → v2_compts_1 X2 X1 → m1_setfam_1 X3 X2 → v1_tops_2 X3 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X1))) → False) → (∀X2 X3 X1, (m1_setfam_1 (esk4_3 X1 X2 X3) X2 → False) → l1_pre_topc X1 → v2_compts_1 X2 X1 → m1_setfam_1 X3 X2 → v1_tops_2 X3 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X1))) → False) → (∀X2 X3 X1, (v1_finset_1 (esk4_3 X1 X2 X3) → False) → l1_pre_topc X1 → v2_compts_1 X2 X1 → m1_setfam_1 X3 X2 → v1_tops_2 X3 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X1))) → False) → (∀X1 X3 X2, (v2_compts_1 X3 X2 → False) → l1_pre_topc X2 → v1_finset_1 X1 → m1_setfam_1 X1 X3 → r1_tarski X1 (esk5_2 X2 X3) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X2))) → False) → (∀X3 X2 X1, (m1_subset_1 (k4_subset_1 X2 X1 X3) (k1_zfmisc_1 X2) → False) → m1_subset_1 X3 (k1_zfmisc_1 X2) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X3 X2 X1, ((k4_subset_1 X2 X1 X3) = (k4_subset_1 X2 X3 X1) → False) → m1_subset_1 X3 (k1_zfmisc_1 X2) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1, (v2_compts_1 X2 X1 → False) → (m1_subset_1 (esk5_2 X1 X2) (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X1))) → False) → l1_pre_topc X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X3 X2 X1, ((k4_subset_1 X2 X1 X3) = (k2_xboole_0 X1 X3) → False) → m1_subset_1 X3 (k1_zfmisc_1 X2) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X3 X2 X1, ((k4_subset_1 X2 X1 X1) = X1 → False) → m1_subset_1 X3 (k1_zfmisc_1 X2) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1, (v2_compts_1 X2 X1 → False) → (v1_tops_2 (esk5_2 X1 X2) X1 → False) → l1_pre_topc X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1, (v2_compts_1 X2 X1 → False) → (m1_setfam_1 (esk5_2 X1 X2) X2 → False) → l1_pre_topc X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X4 X3 X2 X1, (r1_tarski (k2_xboole_0 X1 X3) (k2_xboole_0 X2 X4) → False) → r1_tarski X3 X4 → r1_tarski X1 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) → (∀X3 X2 X1, (r1_tarski (k2_xboole_0 X1 X3) X2 → False) → r1_tarski X3 X2 → r1_tarski X1 X2 → 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) → (∀X2 X1, (v2_compts_1 X2 X1 → False) → l1_pre_topc X1 → v1_xboole_0 X2 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 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) → (∀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 X3, (r1_tarski X1 X3 → False) → r1_tarski X2 X3 → 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, (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) → (∀X2 X1, (r1_tarski X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1, (m1_setfam_1 X2 X1 → False) → r1_tarski X1 (k3_tarski X2) → False) → (∀X1, (m1_subset_1 (esk19_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) → (∀X2 X1, (v5_finset_1 (k2_xboole_0 X1 X2) → False) → v5_finset_1 X2 → v5_finset_1 X1 → False) → (∀X2 X1, (v1_finset_1 (k2_xboole_0 X1 X2) → False) → v1_finset_1 X2 → v1_finset_1 X1 → 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_finset_1 X2 → False) → v1_finset_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) → (∀X2 X1, (r1_tarski X2 (k3_tarski X1) → False) → m1_setfam_1 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 (esk21_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (m1_subset_1 (esk20_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, (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 (esk13_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk11_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X1, (v2_tops_1 (esk19_1 X1) X1 → False) → l1_pre_topc X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_subset_1 (esk17_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 (esk21_1 X1) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_zfmisc_1 (esk20_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk18_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk13_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk11_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 (esk21_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_zfmisc_1 (esk18_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_finset_1 (esk13_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_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, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (v2_compts_1 (k4_subset_1 (u1_struct_0 esk1_0) esk2_0 esk3_0) esk1_0 → False) → (∀X1, v1_subset_1 (esk16_1 X1) X1 → False) → (∀X1, v1_xboole_0 (k1_zfmisc_1 X1) → False) → (v1_xboole_0 esk22_0 → False) → (v1_xboole_0 esk15_0 → False) → (v1_xboole_0 esk10_0 → False) → (∀X2 X1, ((k2_xboole_0 (k3_tarski X1) (k3_tarski X2)) = (k3_tarski (k2_xboole_0 X1 X2)) → False) → False) → (∀X1 X2, (r1_tarski X1 (k2_xboole_0 X1 X2) → False) → False) → (∀X2 X1, ((k2_xboole_0 X1 X2) = (k2_xboole_0 X2 X1) → False) → False) → (∀X1, (m1_subset_1 (esk16_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk14_1 X1) (k1_zfmisc_1 X1) → False) → False) → ((m1_subset_1 esk3_0 (k1_zfmisc_1 (u1_struct_0 esk1_0)) → False) → False) → ((m1_subset_1 esk2_0 (k1_zfmisc_1 (u1_struct_0 esk1_0)) → False) → False) → (∀X1, (m1_setfam_1 (esk8_1 X1) X1 → False) → False) → (∀X1, (m1_subset_1 (esk9_1 X1) X1 → False) → False) → (∀X1, ((k2_xboole_0 X1 X1) = X1 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → (∀X1, ((k2_xboole_0 X1 k1_xboole_0) = X1 → False) → False) → ((v2_compts_1 esk3_0 esk1_0 → False) → False) → ((v2_compts_1 esk2_0 esk1_0 → False) → False) → (∀X1, (v1_xboole_0 (esk14_1 X1) → False) → False) → ((l1_struct_0 esk7_0 → False) → False) → ((v5_finset_1 esk22_0 → False) → False) → ((v1_finset_1 esk22_0 → False) → False) → ((v1_finset_1 esk10_0 → False) → False) → ((v1_xboole_0 esk12_0 → False) → False) → ((v1_xboole_0 o_0_0_xboole_0 → False) → False) → ((v1_xboole_0 k1_xboole_0 → False) → False) → ((l1_pre_topc esk6_0 → False) → False) → ((l1_pre_topc esk1_0 → False) → False) → ((o_0_0_xboole_0 = k1_xboole_0 → False) → False) → False