Theorem. (
t23_yellow_2)
∀r2_yellow_0 : set → set → prop, ∀esk11_3 : set → set → set → set, ∀r1_lattice3 : set → set → set → prop, ∀esk12_3 : set → set → set → set, ∀esk4_2 : set → set → set, ∀esk5_3 : set → set → set → set, ∀esk8_3 : set → set → set → set, ∀a_2_2_yellow_2 : set → set → set, ∀esk18_3 : set → set → set → set, ∀v1_xboole_0 : set → prop, ∀esk3_0 : set, ∀esk1_0 : set, ∀esk2_0 : set, ∀v7_struct_0 : set → prop, ∀v8_struct_0 : set → prop, ∀v1_finset_1 : set → prop, ∀esk20_0 : set, ∀esk19_0 : set, ∀esk15_0 : set, ∀esk14_0 : set, ∀esk16_1 : set → set, ∀v1_zfmisc_1 : set → prop, ∀k1_xboole_0 : set, ∀l1_struct_0 : set → prop, ∀np__1 : set, ∀v13_struct_0 : set → set → prop, ∀esk21_2 : set → set → set, ∀esk17_3 : set → set → set → set, ∀r2_hidden : set → set → prop, ∀a_2_1_yellow_2 : set → set → set, ∀v2_struct_0 : set → prop, ∀esk13_3 : set → set → set → set, ∀esk10_3 : set → set → set → set, ∀esk9_2 : set → set → set, ∀esk7_3 : set → set → set → set, ∀r1_orders_2 : set → set → set → prop, ∀r2_lattice3 : set → set → set → prop, ∀u1_struct_0 : set → set, ∀m1_subset_1 : set → set → prop, ∀esk6_3 : set → set → set → set, ∀l1_orders_2 : set → prop, ∀r1_yellow_0 : set → set → prop, (∀X1 X4 X2 X3, (r1_yellow_0 X2 X3 → False) → (r1_orders_2 X2 (esk7_3 X2 X3 X4) X1 → False) → l1_orders_2 X2 → r2_lattice3 X2 X3 X4 → r2_lattice3 X2 X3 X1 → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X1 (u1_struct_0 X2) → r1_orders_2 X2 X4 (esk6_3 X2 X3 X4) → False) → (∀X1 X4 X2 X3, (r2_yellow_0 X2 X3 → False) → (r1_orders_2 X2 X1 (esk12_3 X2 X3 X4) → False) → l1_orders_2 X2 → r1_lattice3 X2 X3 X4 → r1_lattice3 X2 X3 X1 → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X1 (u1_struct_0 X2) → r1_orders_2 X2 (esk11_3 X2 X3 X4) X4 → False) → (∀X4 X1 X2 X3, (r1_yellow_0 X2 X3 → False) → (r2_lattice3 X2 X3 (esk6_3 X2 X3 X4) → False) → (r1_orders_2 X2 (esk7_3 X2 X3 X4) X1 → False) → l1_orders_2 X2 → r2_lattice3 X2 X3 X4 → r2_lattice3 X2 X3 X1 → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X1 (u1_struct_0 X2) → False) → (∀X4 X1 X2 X3, (r2_yellow_0 X2 X3 → False) → (r1_orders_2 X2 X1 (esk12_3 X2 X3 X4) → False) → (r1_lattice3 X2 X3 (esk11_3 X2 X3 X4) → False) → l1_orders_2 X2 → r1_lattice3 X2 X3 X4 → r1_lattice3 X2 X3 X1 → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X1 (u1_struct_0 X2) → False) → (∀X3 X1 X2, (r2_yellow_0 X1 X2 → False) → (r1_lattice3 X1 X2 (esk12_3 X1 X2 X3) → False) → l1_orders_2 X1 → r1_lattice3 X1 X2 X3 → m1_subset_1 X3 (u1_struct_0 X1) → r1_orders_2 X1 (esk11_3 X1 X2 X3) X3 → False) → (∀X3 X1 X2, (r1_yellow_0 X1 X2 → False) → (r2_lattice3 X1 X2 (esk7_3 X1 X2 X3) → False) → l1_orders_2 X1 → r2_lattice3 X1 X2 X3 → m1_subset_1 X3 (u1_struct_0 X1) → r1_orders_2 X1 X3 (esk6_3 X1 X2 X3) → False) → (∀X4 X1 X2 X3, (r1_yellow_0 X2 X3 → False) → (r1_orders_2 X2 (esk7_3 X2 X3 X4) X1 → False) → (m1_subset_1 (esk6_3 X2 X3 X4) (u1_struct_0 X2) → False) → l1_orders_2 X2 → r2_lattice3 X2 X3 X4 → r2_lattice3 X2 X3 X1 → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X1 (u1_struct_0 X2) → False) → (∀X4 X1 X2 X3, (r2_yellow_0 X2 X3 → False) → (r1_orders_2 X2 X1 (esk12_3 X2 X3 X4) → False) → (m1_subset_1 (esk11_3 X2 X3 X4) (u1_struct_0 X2) → False) → l1_orders_2 X2 → r1_lattice3 X2 X3 X4 → r1_lattice3 X2 X3 X1 → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X1 (u1_struct_0 X2) → False) → (∀X3 X1 X2, (r2_yellow_0 X1 X2 → False) → (m1_subset_1 (esk12_3 X1 X2 X3) (u1_struct_0 X1) → False) → l1_orders_2 X1 → r1_lattice3 X1 X2 X3 → m1_subset_1 X3 (u1_struct_0 X1) → r1_orders_2 X1 (esk11_3 X1 X2 X3) X3 → False) → (∀X3 X1 X2, (r1_yellow_0 X1 X2 → False) → (m1_subset_1 (esk7_3 X1 X2 X3) (u1_struct_0 X1) → False) → l1_orders_2 X1 → r2_lattice3 X1 X2 X3 → m1_subset_1 X3 (u1_struct_0 X1) → r1_orders_2 X1 X3 (esk6_3 X1 X2 X3) → False) → (∀X3 X1 X2, (r2_yellow_0 X1 X2 → False) → (esk12_3 X1 X2 X3) = X3 → l1_orders_2 X1 → r1_lattice3 X1 X2 X3 → m1_subset_1 X3 (u1_struct_0 X1) → r1_orders_2 X1 (esk11_3 X1 X2 X3) X3 → False) → (∀X3 X1 X2, (r1_yellow_0 X1 X2 → False) → (esk7_3 X1 X2 X3) = X3 → l1_orders_2 X1 → r2_lattice3 X1 X2 X3 → m1_subset_1 X3 (u1_struct_0 X1) → r1_orders_2 X1 X3 (esk6_3 X1 X2 X3) → False) → (∀X3 X1 X2, (r2_yellow_0 X1 X2 → False) → (r1_lattice3 X1 X2 (esk11_3 X1 X2 X3) → False) → (r1_lattice3 X1 X2 (esk12_3 X1 X2 X3) → False) → l1_orders_2 X1 → r1_lattice3 X1 X2 X3 → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X3 X1 X2, (r1_yellow_0 X1 X2 → False) → (r2_lattice3 X1 X2 (esk6_3 X1 X2 X3) → False) → (r2_lattice3 X1 X2 (esk7_3 X1 X2 X3) → False) → l1_orders_2 X1 → r2_lattice3 X1 X2 X3 → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X3 X1 X2, (r2_yellow_0 X1 X2 → False) → (r1_lattice3 X1 X2 (esk12_3 X1 X2 X3) → False) → (m1_subset_1 (esk11_3 X1 X2 X3) (u1_struct_0 X1) → False) → l1_orders_2 X1 → r1_lattice3 X1 X2 X3 → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X3 X1 X2, (r2_yellow_0 X1 X2 → False) → (r1_lattice3 X1 X2 (esk11_3 X1 X2 X3) → False) → (m1_subset_1 (esk12_3 X1 X2 X3) (u1_struct_0 X1) → False) → l1_orders_2 X1 → r1_lattice3 X1 X2 X3 → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X3 X1 X2, (r1_yellow_0 X1 X2 → False) → (r2_lattice3 X1 X2 (esk7_3 X1 X2 X3) → False) → (m1_subset_1 (esk6_3 X1 X2 X3) (u1_struct_0 X1) → False) → l1_orders_2 X1 → r2_lattice3 X1 X2 X3 → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X3 X1 X2, (r1_yellow_0 X1 X2 → False) → (r2_lattice3 X1 X2 (esk6_3 X1 X2 X3) → False) → (m1_subset_1 (esk7_3 X1 X2 X3) (u1_struct_0 X1) → False) → l1_orders_2 X1 → r2_lattice3 X1 X2 X3 → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X2 X3 X1, (X3 = (esk9_2 X1 X2) → False) → l1_orders_2 X1 → r2_yellow_0 X1 X2 → r1_lattice3 X1 X2 X3 → m1_subset_1 X3 (u1_struct_0 X1) → r1_orders_2 X1 (esk10_3 X1 X2 X3) X3 → False) → (∀X3 X2 X1, (X2 = (esk4_2 X1 X3) → False) → l1_orders_2 X1 → r1_yellow_0 X1 X3 → r2_lattice3 X1 X3 X2 → m1_subset_1 X2 (u1_struct_0 X1) → r1_orders_2 X1 X2 (esk5_3 X1 X3 X2) → False) → (∀X3 X1 X2, (r2_yellow_0 X1 X2 → False) → (m1_subset_1 (esk11_3 X1 X2 X3) (u1_struct_0 X1) → False) → (m1_subset_1 (esk12_3 X1 X2 X3) (u1_struct_0 X1) → False) → l1_orders_2 X1 → r1_lattice3 X1 X2 X3 → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X3 X1 X2, (r1_yellow_0 X1 X2 → False) → (m1_subset_1 (esk6_3 X1 X2 X3) (u1_struct_0 X1) → False) → (m1_subset_1 (esk7_3 X1 X2 X3) (u1_struct_0 X1) → False) → l1_orders_2 X1 → r2_lattice3 X1 X2 X3 → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X3 X1 X2, (r2_yellow_0 X1 X2 → False) → (r1_lattice3 X1 X2 (esk11_3 X1 X2 X3) → False) → (esk12_3 X1 X2 X3) = X3 → l1_orders_2 X1 → r1_lattice3 X1 X2 X3 → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X3 X1 X2, (r1_yellow_0 X1 X2 → False) → (r2_lattice3 X1 X2 (esk6_3 X1 X2 X3) → False) → (esk7_3 X1 X2 X3) = X3 → l1_orders_2 X1 → r2_lattice3 X1 X2 X3 → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X3 X1 X2, (r2_yellow_0 X1 X2 → False) → (m1_subset_1 (esk11_3 X1 X2 X3) (u1_struct_0 X1) → False) → (esk12_3 X1 X2 X3) = X3 → l1_orders_2 X1 → r1_lattice3 X1 X2 X3 → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X3 X1 X2, (r1_yellow_0 X1 X2 → False) → (m1_subset_1 (esk6_3 X1 X2 X3) (u1_struct_0 X1) → False) → (esk7_3 X1 X2 X3) = X3 → l1_orders_2 X1 → r2_lattice3 X1 X2 X3 → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X3 X2 X1, (r2_lattice3 X1 X2 X3 → False) → l1_orders_2 X1 → m1_subset_1 X3 (u1_struct_0 X1) → r1_orders_2 X1 (esk13_3 X1 X2 X3) X3 → False) → (∀X2 X3 X1, (r1_lattice3 X1 X3 X2 → False) → l1_orders_2 X1 → m1_subset_1 X2 (u1_struct_0 X1) → r1_orders_2 X1 X2 (esk8_3 X1 X3 X2) → False) → (∀X2 X3 X1, (X3 = (esk9_2 X1 X2) → False) → (r1_lattice3 X1 X2 (esk10_3 X1 X2 X3) → False) → l1_orders_2 X1 → r2_yellow_0 X1 X2 → r1_lattice3 X1 X2 X3 → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X2 X3 X1, (X3 = (esk4_2 X1 X2) → False) → (r2_lattice3 X1 X2 (esk5_3 X1 X2 X3) → False) → l1_orders_2 X1 → r1_yellow_0 X1 X2 → r2_lattice3 X1 X2 X3 → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X2 X3 X1, (X3 = (esk9_2 X1 X2) → False) → (m1_subset_1 (esk10_3 X1 X2 X3) (u1_struct_0 X1) → False) → l1_orders_2 X1 → r2_yellow_0 X1 X2 → r1_lattice3 X1 X2 X3 → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X2 X3 X1, (X3 = (esk4_2 X1 X2) → False) → (m1_subset_1 (esk5_3 X1 X2 X3) (u1_struct_0 X1) → False) → l1_orders_2 X1 → r1_yellow_0 X1 X2 → r2_lattice3 X1 X2 X3 → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X3 X2 X1, (v2_struct_0 X1 → False) → (r1_lattice3 X1 X2 (esk17_3 X3 X1 X2) → False) → l1_orders_2 X1 → r2_hidden X3 (a_2_1_yellow_2 X1 X2) → False) → (∀X3 X2 X1, (v2_struct_0 X1 → False) → (r2_lattice3 X1 X2 (esk18_3 X3 X1 X2) → False) → l1_orders_2 X1 → r2_hidden X3 (a_2_2_yellow_2 X1 X2) → False) → (∀X2 X4 X3 X1, (r1_orders_2 X1 X3 X4 → False) → l1_orders_2 X1 → r2_hidden X4 X2 → r1_lattice3 X1 X2 X3 → m1_subset_1 X4 (u1_struct_0 X1) → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X2 X3 X4 X1, (r1_orders_2 X1 X4 X3 → False) → l1_orders_2 X1 → r2_hidden X4 X2 → r2_lattice3 X1 X2 X3 → m1_subset_1 X4 (u1_struct_0 X1) → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X3 X1 X2, (r1_orders_2 X2 (esk4_2 X2 X3) X1 → False) → l1_orders_2 X2 → r1_yellow_0 X2 X3 → r2_lattice3 X2 X3 X1 → m1_subset_1 X1 (u1_struct_0 X2) → False) → (∀X3 X1 X2, (r1_orders_2 X2 X1 (esk9_2 X2 X3) → False) → l1_orders_2 X2 → r2_yellow_0 X2 X3 → r1_lattice3 X2 X3 X1 → m1_subset_1 X1 (u1_struct_0 X2) → False) → (∀X2 X3 X1, (r1_lattice3 X1 X2 X3 → False) → (m1_subset_1 (esk8_3 X1 X2 X3) (u1_struct_0 X1) → False) → l1_orders_2 X1 → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X2 X3 X1, (r2_lattice3 X1 X2 X3 → False) → (m1_subset_1 (esk13_3 X1 X2 X3) (u1_struct_0 X1) → False) → l1_orders_2 X1 → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X2 X3 X1, (r1_lattice3 X1 X2 X3 → False) → (r2_hidden (esk8_3 X1 X2 X3) X2 → False) → l1_orders_2 X1 → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X2 X3 X1, (r2_lattice3 X1 X2 X3 → False) → (r2_hidden (esk13_3 X1 X2 X3) X2 → False) → l1_orders_2 X1 → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X1 X3 X2, (v2_struct_0 X2 → False) → (m1_subset_1 (esk18_3 X1 X2 X3) (u1_struct_0 X2) → False) → l1_orders_2 X2 → r2_hidden X1 (a_2_2_yellow_2 X2 X3) → False) → (∀X1 X3 X2, (v2_struct_0 X2 → False) → (m1_subset_1 (esk17_3 X1 X2 X3) (u1_struct_0 X2) → False) → l1_orders_2 X2 → r2_hidden X1 (a_2_1_yellow_2 X2 X3) → False) → (∀X3 X4 X1 X2, (v2_struct_0 X2 → False) → (r2_hidden X3 (a_2_2_yellow_2 X2 X4) → False) → X1 = X3 → l1_orders_2 X2 → r2_lattice3 X2 X4 X1 → m1_subset_1 X1 (u1_struct_0 X2) → False) → (∀X3 X4 X1 X2, (v2_struct_0 X2 → False) → (r2_hidden X3 (a_2_1_yellow_2 X2 X4) → False) → X1 = X3 → l1_orders_2 X2 → r1_lattice3 X2 X4 X1 → m1_subset_1 X1 (u1_struct_0 X2) → False) → (∀X1 X3 X2, ((esk18_3 X1 X2 X3) = X1 → False) → (v2_struct_0 X2 → False) → l1_orders_2 X2 → r2_hidden X1 (a_2_2_yellow_2 X2 X3) → False) → (∀X1 X3 X2, ((esk17_3 X1 X2 X3) = X1 → False) → (v2_struct_0 X2 → False) → l1_orders_2 X2 → r2_hidden X1 (a_2_1_yellow_2 X2 X3) → False) → (∀X2 X1, (r1_lattice3 X1 X2 (esk9_2 X1 X2) → False) → l1_orders_2 X1 → r2_yellow_0 X1 X2 → False) → (∀X2 X1, (r2_lattice3 X1 X2 (esk4_2 X1 X2) → False) → l1_orders_2 X1 → r1_yellow_0 X1 X2 → False) → (∀X1 X3 X2, r2_hidden X3 X2 → r2_hidden X1 X2 → r2_hidden X1 (esk21_2 X3 X2) → False) → (∀X2 X1, (m1_subset_1 (esk9_2 X1 X2) (u1_struct_0 X1) → False) → l1_orders_2 X1 → r2_yellow_0 X1 X2 → False) → (∀X2 X1, (m1_subset_1 (esk4_2 X1 X2) (u1_struct_0 X1) → False) → l1_orders_2 X1 → r1_yellow_0 X1 X2 → False) → (∀X2 X1, (r2_hidden (esk21_2 X1 X2) X2 → False) → r2_hidden X1 X2 → False) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden 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) → (r1_yellow_0 esk1_0 esk2_0 → r2_yellow_0 esk1_0 esk3_0 → 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 (u1_struct_0 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (u1_struct_0 X1) → False) → (∀X1, (v13_struct_0 X1 k1_xboole_0 → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1 X2, (r1_yellow_0 esk1_0 X1 → False) → (r2_yellow_0 esk1_0 X2 → False) → 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, (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) → (v1_xboole_0 esk20_0 → False) → (v1_xboole_0 np__1 → False) → (v2_struct_0 esk1_0 → False) → (∀X1, (m1_subset_1 (esk16_1 X1) X1 → False) → False) → ((v1_xboole_0 esk19_0 → False) → False) → ((v1_xboole_0 k1_xboole_0 → False) → False) → ((l1_struct_0 esk15_0 → False) → False) → ((l1_orders_2 esk14_0 → False) → False) → ((l1_orders_2 esk1_0 → False) → False) → False