Theorem. (
t20_yellow_4)
∀k7_domain_1 : set → set → set → set, ∀esk10_4 : set → set → set → set → set, ∀esk11_4 : set → set → set → set → set, ∀a_3_0_yellow_4 : set → set → set → set, ∀k1_zfmisc_1 : set → set, ∀k1_yellow_4 : set → set → set → set, ∀v1_xboole_0 : set → prop, ∀esk14_2 : set → set → set, ∀v1_waybel_0 : set → set → prop, ∀esk9_1 : set → set, ∀r1_tarski : set → set → prop, ∀k1_tarski : set → set, ∀v8_struct_0 : set → prop, ∀v1_finset_1 : set → prop, ∀esk8_0 : set, ∀esk12_0 : set, ∀o_0_0_xboole_0 : set, ∀esk13_1 : set → set, ∀esk1_0 : set, ∀esk3_0 : set, ∀esk4_0 : set, ∀esk2_0 : set, ∀v1_zfmisc_1 : set → prop, ∀k1_xboole_0 : set, ∀np__1 : set, ∀v13_struct_0 : set → set → prop, ∀esk7_1 : set → set, ∀esk5_1 : set → set, ∀l1_struct_0 : set → prop, ∀esk6_1 : set → set, ∀v7_struct_0 : set → prop, ∀v2_waybel_0 : set → set → prop, ∀k2_tarski : set → set → set, ∀k6_domain_1 : set → set → set, ∀v2_struct_0 : set → prop, ∀u1_struct_0 : set → set, ∀m1_subset_1 : set → set → prop, ∀r2_hidden : set → set → prop, ∀a_4_0_yellow_4 : set → set → set → set → set, ∀l1_orders_2 : set → prop, ∀k10_lattice3 : set → set → set → set, ∀esk16_5 : set → set → set → set → set → set, ∀esk15_5 : set → set → set → set → set → set, (∀X4 X1 X3 X5 X2, ((k10_lattice3 X2 (esk15_5 X1 X2 X3 X4 X5) (esk16_5 X1 X2 X3 X4 X5)) = X1 → False) → (v2_struct_0 X2 → False) → l1_orders_2 X2 → m1_subset_1 X5 (u1_struct_0 X2) → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X3 (u1_struct_0 X2) → r2_hidden X1 (a_4_0_yellow_4 X2 X3 X4 X5) → False) → (∀X4 X1 X3 X5 X2, (v2_struct_0 X2 → False) → (r2_hidden (esk16_5 X1 X2 X3 X4 X5) (k7_domain_1 (u1_struct_0 X2) X4 X5) → False) → l1_orders_2 X2 → m1_subset_1 X5 (u1_struct_0 X2) → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X3 (u1_struct_0 X2) → r2_hidden X1 (a_4_0_yellow_4 X2 X3 X4 X5) → False) → (∀X4 X1 X3 X5 X2, (v2_struct_0 X2 → False) → (r2_hidden (esk15_5 X1 X2 X3 X4 X5) (k6_domain_1 (u1_struct_0 X2) X3) → False) → l1_orders_2 X2 → m1_subset_1 X5 (u1_struct_0 X2) → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X3 (u1_struct_0 X2) → r2_hidden X1 (a_4_0_yellow_4 X2 X3 X4 X5) → False) → (∀X4 X1 X3 X5 X2, (v2_struct_0 X2 → False) → (m1_subset_1 (esk16_5 X1 X2 X3 X4 X5) (u1_struct_0 X2) → False) → l1_orders_2 X2 → m1_subset_1 X5 (u1_struct_0 X2) → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X3 (u1_struct_0 X2) → r2_hidden X1 (a_4_0_yellow_4 X2 X3 X4 X5) → False) → (∀X4 X1 X3 X5 X2, (v2_struct_0 X2 → False) → (m1_subset_1 (esk15_5 X1 X2 X3 X4 X5) (u1_struct_0 X2) → False) → l1_orders_2 X2 → m1_subset_1 X5 (u1_struct_0 X2) → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X3 (u1_struct_0 X2) → r2_hidden X1 (a_4_0_yellow_4 X2 X3 X4 X5) → False) → (∀X3 X1 X4 X2, ((k10_lattice3 X2 (esk10_4 X1 X2 X3 X4) (esk11_4 X1 X2 X3 X4)) = X1 → False) → (v2_struct_0 X2 → False) → l1_orders_2 X2 → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → r2_hidden X1 (a_3_0_yellow_4 X2 X3 X4) → False) → (∀X4 X7 X6 X5 X3 X1 X2, (v2_struct_0 X2 → False) → (r2_hidden X4 (a_4_0_yellow_4 X2 X5 X6 X7) → False) → X4 = (k10_lattice3 X2 X1 X3) → l1_orders_2 X2 → m1_subset_1 X7 (u1_struct_0 X2) → m1_subset_1 X6 (u1_struct_0 X2) → m1_subset_1 X5 (u1_struct_0 X2) → m1_subset_1 X3 (u1_struct_0 X2) → m1_subset_1 X1 (u1_struct_0 X2) → r2_hidden X1 (k6_domain_1 (u1_struct_0 X2) X5) → r2_hidden X3 (k7_domain_1 (u1_struct_0 X2) X6 X7) → False) → (∀X3 X1 X4 X2, (v2_struct_0 X2 → False) → (m1_subset_1 (esk11_4 X1 X2 X3 X4) (u1_struct_0 X2) → False) → l1_orders_2 X2 → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → r2_hidden X1 (a_3_0_yellow_4 X2 X3 X4) → False) → (∀X3 X1 X4 X2, (v2_struct_0 X2 → False) → (m1_subset_1 (esk10_4 X1 X2 X3 X4) (u1_struct_0 X2) → False) → l1_orders_2 X2 → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → r2_hidden X1 (a_3_0_yellow_4 X2 X3 X4) → False) → (∀X3 X1 X4 X2, (v2_struct_0 X2 → False) → (r2_hidden (esk11_4 X1 X2 X3 X4) X4 → False) → l1_orders_2 X2 → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → r2_hidden X1 (a_3_0_yellow_4 X2 X3 X4) → False) → (∀X3 X1 X4 X2, (v2_struct_0 X2 → False) → (r2_hidden (esk10_4 X1 X2 X3 X4) X3 → False) → l1_orders_2 X2 → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → r2_hidden X1 (a_3_0_yellow_4 X2 X3 X4) → False) → (∀X2 X3 X4 X1, ((k7_domain_1 (u1_struct_0 X1) (k10_lattice3 X1 X2 X3) (k10_lattice3 X1 X2 X4)) = (a_4_0_yellow_4 X1 X2 X3 X4) → False) → (v2_struct_0 X1 → False) → l1_orders_2 X1 → m1_subset_1 X4 (u1_struct_0 X1) → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X4 X5 X6 X3 X1 X2, (v2_struct_0 X2 → False) → (r2_hidden X4 (a_3_0_yellow_4 X2 X5 X6) → False) → X4 = (k10_lattice3 X2 X1 X3) → l1_orders_2 X2 → r2_hidden X3 X6 → r2_hidden X1 X5 → m1_subset_1 X3 (u1_struct_0 X2) → m1_subset_1 X1 (u1_struct_0 X2) → m1_subset_1 X6 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X3 X2 X1, (v2_struct_0 X1 → False) → (v1_xboole_0 X3 → False) → (v1_xboole_0 X2 → False) → l1_orders_2 X1 → v1_xboole_0 (k1_yellow_4 X1 X2 X3) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X3 X2 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (k1_yellow_4 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_orders_2 X1 → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X3 X2 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (k1_yellow_4 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_orders_2 X1 → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X3 X2 X1, ((k1_yellow_4 X1 X2 X3) = (a_3_0_yellow_4 X1 X2 X3) → False) → (v2_struct_0 X1 → False) → l1_orders_2 X1 → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X3 X1, (m1_subset_1 (k10_lattice3 X1 X2 X3) (u1_struct_0 X1) → False) → l1_orders_2 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (k7_domain_1 X1 X2 X3) (k1_zfmisc_1 X1) → False) → m1_subset_1 X3 X1 → m1_subset_1 X2 X1 → False) → (∀X2 X3 X1, ((k7_domain_1 X1 X2 X3) = (k7_domain_1 X1 X3 X2) → False) → (v1_xboole_0 X1 → False) → m1_subset_1 X3 X1 → m1_subset_1 X2 X1 → False) → (∀X2 X3 X1, ((k7_domain_1 X1 X2 X3) = (k2_tarski X2 X3) → False) → (v1_xboole_0 X1 → False) → m1_subset_1 X3 X1 → m1_subset_1 X2 X1 → False) → (∀X1 X3 X2, r2_hidden X3 X2 → r2_hidden X1 X2 → r2_hidden X1 (esk14_2 X3 X2) → False) → (∀X1 X2, (v2_waybel_0 X1 X2 → False) → l1_orders_2 X2 → v1_xboole_0 X1 → m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X1 X2, (v1_waybel_0 X1 X2 → False) → l1_orders_2 X2 → v1_xboole_0 X1 → m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (k6_domain_1 X1 X2) (k1_zfmisc_1 X1) → False) → m1_subset_1 X2 X1 → 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, (r2_hidden (esk14_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) → (∀X1, (v7_struct_0 X1 → False) → (m1_subset_1 (esk6_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk9_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk5_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X1, (m1_subset_1 (esk7_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_orders_2 X1 → False) → (∀X2 X1, ((k6_domain_1 X1 X2) = (k1_tarski X2) → False) → (v1_xboole_0 X1 → False) → m1_subset_1 X2 X1 → False) → (∀X2 X1, r2_hidden X2 X1 → 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, v2_struct_0 X1 → l1_struct_0 X1 → v13_struct_0 X1 np__1 → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v13_struct_0 X1 np__1 → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v13_struct_0 X1 k1_xboole_0 → False) → (∀X1, (v2_struct_0 X1 → False) → (v13_struct_0 X1 np__1 → False) → l1_struct_0 X1 → v7_struct_0 X1 → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X1, (v8_struct_0 X1 → False) → l1_struct_0 X1 → v1_finset_1 (u1_struct_0 X1) → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v1_zfmisc_1 (esk6_1 X1) → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v1_zfmisc_1 (u1_struct_0 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (esk9_1 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (esk5_1 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (u1_struct_0 X1) → False) → (∀X1, (v2_waybel_0 (esk7_1 X1) X1 → False) → l1_orders_2 X1 → False) → (∀X1, (v1_waybel_0 (esk7_1 X1) X1 → False) → l1_orders_2 X1 → False) → (∀X1, (v13_struct_0 X1 k1_xboole_0 → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v1_finset_1 (u1_struct_0 X1) → False) → l1_struct_0 X1 → v8_struct_0 X1 → False) → (∀X1, (v1_zfmisc_1 (u1_struct_0 X1) → False) → l1_struct_0 X1 → v7_struct_0 X1 → False) → (∀X1, (v1_xboole_0 (u1_struct_0 X1) → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_zfmisc_1 (esk5_1 X1) → False) → l1_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → l1_struct_0 X1 → v7_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → l1_struct_0 X1 → v7_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (l1_struct_0 X1 → False) → l1_orders_2 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → ((k1_yellow_4 esk1_0 (k6_domain_1 (u1_struct_0 esk1_0) esk2_0) (k7_domain_1 (u1_struct_0 esk1_0) esk3_0 esk4_0)) = (k7_domain_1 (u1_struct_0 esk1_0) (k10_lattice3 esk1_0 esk2_0 esk3_0) (k10_lattice3 esk1_0 esk2_0 esk4_0)) → False) → (v1_xboole_0 np__1 → False) → (v2_struct_0 esk1_0 → False) → (∀X2 X1, ((k2_tarski X1 X2) = (k2_tarski X2 X1) → False) → False) → (∀X1, (m1_subset_1 (esk13_1 X1) X1 → False) → False) → ((m1_subset_1 esk4_0 (u1_struct_0 esk1_0) → False) → False) → ((m1_subset_1 esk3_0 (u1_struct_0 esk1_0) → False) → False) → ((m1_subset_1 esk2_0 (u1_struct_0 esk1_0) → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → ((l1_struct_0 esk8_0 → False) → False) → ((v1_xboole_0 o_0_0_xboole_0 → False) → False) → ((l1_orders_2 esk12_0 → False) → False) → ((l1_orders_2 esk1_0 → False) → False) → ((k1_xboole_0 = o_0_0_xboole_0 → False) → False) → False