Theorem. (
t8_pasch)
∀v2_struct_0 : set → prop, ∀l1_struct_0 : set → prop, ∀v13_struct_0 : set → set → prop, ∀np__1 : set, ∀v8_struct_0 : set → prop, ∀v1_finset_1 : set → prop, ∀v1_zfmisc_1 : set → prop, ∀esk6_0 : set, ∀esk4_0 : set, ∀esk7_0 : set, ∀esk8_0 : set, ∀esk9_1 : set → set, ∀esk2_0 : set, ∀esk5_0 : set, ∀esk3_0 : set, ∀esk1_0 : set, ∀v1_xboole_0 : set → prop, ∀k1_xboole_0 : set, ∀r1_diraf : set → set → set → set → prop, ∀r3_diraf : set → set → set → set → prop, ∀v7_struct_0 : set → prop, ∀v2_analoaf : set → prop, ∀u1_struct_0 : set → set, ∀m1_subset_1 : set → set → prop, ∀l1_analoaf : set → prop, ∀r2_diraf : set → set → set → set → set → prop, ∀esk10_5 : set → set → set → set → set → set, (∀X1 X2 X5 X3 X4, (X3 = X4 → False) → (v7_struct_0 X1 → False) → (r2_diraf X1 X2 X3 X3 (esk10_5 X1 X4 X3 X5 X2) → False) → v2_analoaf X1 → l1_analoaf X1 → m1_subset_1 X5 (u1_struct_0 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) → r2_diraf X1 X4 X3 X3 X5 → False) → (∀X1 X4 X2 X3 X5, (X3 = X5 → False) → (v7_struct_0 X1 → False) → (r2_diraf X1 X2 X3 X4 (esk10_5 X1 X3 X5 X4 X2) → False) → v2_analoaf X1 → l1_analoaf X1 → m1_subset_1 X5 (u1_struct_0 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) → r2_diraf X1 X3 X5 X5 X4 → False) → (∀X1 X5 X2 X3 X4 X6 X7, (X6 = X7 → False) → (v7_struct_0 X1 → False) → (r3_diraf X1 X2 X3 X4 → False) → v2_analoaf X1 → l1_analoaf X1 → m1_subset_1 X7 (u1_struct_0 X1) → m1_subset_1 X6 (u1_struct_0 X1) → m1_subset_1 X5 (u1_struct_0 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) → r3_diraf X1 X2 X4 X5 → r3_diraf X1 X2 X3 X7 → r3_diraf X1 X2 X3 X6 → r2_diraf X1 X3 X4 X5 X7 → r2_diraf X1 X3 X4 X5 X6 → False) → (∀X1 X4 X7 X6 X5 X2 X3, (X2 = X3 → False) → (v7_struct_0 X1 → False) → (r2_diraf X1 X4 X5 X6 X7 → False) → v2_analoaf X1 → l1_analoaf X1 → m1_subset_1 X7 (u1_struct_0 X1) → m1_subset_1 X6 (u1_struct_0 X1) → m1_subset_1 X5 (u1_struct_0 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) → r2_diraf X1 X2 X3 X6 X7 → r2_diraf X1 X2 X3 X4 X5 → False) → (∀X1 X4 X7 X6 X5 X2 X3, (X2 = X3 → False) → (v7_struct_0 X1 → False) → (r2_diraf X1 X4 X5 X6 X7 → False) → v2_analoaf X1 → l1_analoaf X1 → m1_subset_1 X7 (u1_struct_0 X1) → m1_subset_1 X6 (u1_struct_0 X1) → m1_subset_1 X5 (u1_struct_0 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) → r2_diraf X1 X6 X7 X2 X3 → r2_diraf X1 X2 X3 X4 X5 → False) → (∀X1 X2 X7 X6 X3 X4 X5, (X4 = X5 → False) → (v7_struct_0 X1 → False) → (r2_diraf X1 X2 X3 X6 X7 → False) → v2_analoaf X1 → l1_analoaf X1 → m1_subset_1 X7 (u1_struct_0 X1) → m1_subset_1 X6 (u1_struct_0 X1) → m1_subset_1 X5 (u1_struct_0 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) → r2_diraf X1 X4 X5 X6 X7 → r2_diraf X1 X2 X3 X4 X5 → False) → (∀X1 X2 X7 X6 X3 X4 X5, (X4 = X5 → False) → (v7_struct_0 X1 → False) → (r2_diraf X1 X2 X3 X6 X7 → False) → v2_analoaf X1 → l1_analoaf X1 → m1_subset_1 X7 (u1_struct_0 X1) → m1_subset_1 X6 (u1_struct_0 X1) → m1_subset_1 X5 (u1_struct_0 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) → r2_diraf X1 X6 X7 X4 X5 → r2_diraf X1 X2 X3 X4 X5 → False) → (∀X1 X4 X5 X2 X3, (X2 = X3 → False) → (v7_struct_0 X1 → False) → (m1_subset_1 (esk10_5 X1 X2 X3 X4 X5) (u1_struct_0 X1) → False) → v2_analoaf X1 → l1_analoaf X1 → m1_subset_1 X5 (u1_struct_0 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) → r2_diraf X1 X2 X3 X3 X4 → False) → (∀X6 X2 X4 X5 X3 X1, (v7_struct_0 X1 → False) → (r1_diraf X1 X4 X2 X6 → False) → (r3_diraf X1 X2 X3 X4 → False) → v2_analoaf X1 → l1_analoaf X1 → m1_subset_1 X6 (u1_struct_0 X1) → m1_subset_1 X5 (u1_struct_0 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) → r1_diraf X1 X3 X2 X5 → r3_diraf X1 X2 X4 X6 → r2_diraf X1 X3 X4 X6 X5 → False) → (∀X5 X3 X2 X4 X1, (v7_struct_0 X1 → False) → (r2_diraf X1 X2 X3 X4 X5 → False) → v2_analoaf X1 → l1_analoaf X1 → m1_subset_1 X5 (u1_struct_0 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) → r2_diraf X1 X2 X3 X5 X4 → False) → (∀X5 X3 X2 X4 X1, (v7_struct_0 X1 → False) → (r2_diraf X1 X2 X3 X4 X5 → False) → v2_analoaf X1 → l1_analoaf X1 → m1_subset_1 X5 (u1_struct_0 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) → r2_diraf X1 X3 X2 X4 X5 → False) → (∀X5 X3 X2 X4 X1, (v7_struct_0 X1 → False) → (r2_diraf X1 X2 X3 X4 X5 → False) → v2_analoaf X1 → l1_analoaf X1 → m1_subset_1 X5 (u1_struct_0 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) → r2_diraf X1 X3 X2 X5 X4 → False) → (∀X5 X3 X2 X4 X1, (v7_struct_0 X1 → False) → (r2_diraf X1 X2 X3 X4 X5 → False) → v2_analoaf X1 → l1_analoaf X1 → m1_subset_1 X5 (u1_struct_0 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) → r2_diraf X1 X4 X5 X2 X3 → False) → (∀X5 X3 X2 X4 X1, (v7_struct_0 X1 → False) → (r2_diraf X1 X2 X3 X4 X5 → False) → v2_analoaf X1 → l1_analoaf X1 → m1_subset_1 X5 (u1_struct_0 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) → r2_diraf X1 X4 X5 X3 X2 → False) → (∀X5 X3 X2 X4 X1, (v7_struct_0 X1 → False) → (r2_diraf X1 X2 X3 X4 X5 → False) → v2_analoaf X1 → l1_analoaf X1 → m1_subset_1 X5 (u1_struct_0 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) → r2_diraf X1 X5 X4 X2 X3 → False) → (∀X5 X3 X2 X4 X1, (v7_struct_0 X1 → False) → (r2_diraf X1 X2 X3 X4 X5 → False) → v2_analoaf X1 → l1_analoaf X1 → m1_subset_1 X5 (u1_struct_0 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) → r2_diraf X1 X5 X4 X3 X2 → False) → (∀X1 X4 X5 X2 X3, (X2 = X3 → False) → (v7_struct_0 X1 → False) → (r3_diraf X1 X2 X3 X5 → False) → v2_analoaf X1 → l1_analoaf X1 → m1_subset_1 X5 (u1_struct_0 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) → r3_diraf X1 X2 X3 X4 → r2_diraf X1 X2 X3 X4 X5 → False) → (∀X3 X2 X4 X1, (v2_struct_0 X1 → False) → (r3_diraf X1 X2 X3 X4 → False) → l1_analoaf 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) → r2_diraf X1 X2 X3 X2 X4 → False) → (∀X3 X2 X4 X1, (v2_struct_0 X1 → False) → (r2_diraf X1 X2 X3 X2 X4 → False) → l1_analoaf 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) → r3_diraf X1 X2 X3 X4 → False) → (∀X1 X4 X5 X6 X2 X3, (X2 = X3 → False) → (v7_struct_0 X1 → False) → (r3_diraf X1 X4 X5 X6 → False) → v2_analoaf X1 → l1_analoaf X1 → m1_subset_1 X6 (u1_struct_0 X1) → m1_subset_1 X5 (u1_struct_0 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) → r3_diraf X1 X2 X3 X6 → r3_diraf X1 X2 X3 X5 → r3_diraf X1 X2 X3 X4 → False) → (∀X2 X3 X1, (v7_struct_0 X1 → False) → (r2_diraf X1 X2 X3 X2 X3 → False) → v2_analoaf X1 → l1_analoaf X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, (v7_struct_0 X1 → False) → (r2_diraf X1 X2 X3 X3 X2 → False) → v2_analoaf X1 → l1_analoaf X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X4 X2 X3 X1, (v7_struct_0 X1 → False) → (r1_diraf X1 X3 X2 X4 → False) → (r1_diraf X1 X2 X4 X3 → False) → (r1_diraf X1 X2 X3 X4 → False) → v2_analoaf X1 → l1_analoaf 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) → r3_diraf X1 X2 X3 X4 → False) → (∀X1 X4 X2 X3, (X2 = X3 → False) → (v7_struct_0 X1 → False) → v2_analoaf X1 → l1_analoaf 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) → r1_diraf X1 X3 X2 X4 → r1_diraf X1 X2 X3 X4 → False) → (∀X4 X2 X3 X1, (v7_struct_0 X1 → False) → (r3_diraf X1 X2 X3 X4 → False) → v2_analoaf X1 → l1_analoaf 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) → r3_diraf X1 X2 X4 X3 → False) → (∀X4 X2 X3 X1, (v7_struct_0 X1 → False) → (r3_diraf X1 X2 X3 X4 → False) → v2_analoaf X1 → l1_analoaf 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) → r3_diraf X1 X3 X2 X4 → False) → (∀X4 X2 X3 X1, (v7_struct_0 X1 → False) → (r3_diraf X1 X2 X3 X4 → False) → v2_analoaf X1 → l1_analoaf 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) → r3_diraf X1 X3 X4 X2 → False) → (∀X4 X2 X3 X1, (v7_struct_0 X1 → False) → (r3_diraf X1 X2 X3 X4 → False) → v2_analoaf X1 → l1_analoaf 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) → r3_diraf X1 X4 X2 X3 → False) → (∀X4 X2 X3 X1, (v7_struct_0 X1 → False) → (r3_diraf X1 X2 X3 X4 → False) → v2_analoaf X1 → l1_analoaf 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) → r3_diraf X1 X4 X3 X2 → False) → (∀X4 X2 X3 X1, (v7_struct_0 X1 → False) → (r3_diraf X1 X2 X3 X4 → False) → v2_analoaf X1 → l1_analoaf 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) → r1_diraf X1 X2 X3 X4 → False) → (∀X4 X2 X3 X1, (v7_struct_0 X1 → False) → (r1_diraf X1 X4 X3 X2 → False) → v2_analoaf X1 → l1_analoaf 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) → r1_diraf X1 X2 X3 X4 → False) → (∀X1 X2 X3, (X2 = X3 → False) → (v7_struct_0 X1 → False) → v2_analoaf X1 → l1_analoaf X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → r1_diraf X1 X2 X3 X2 → False) → (∀X2 X3 X1, (v7_struct_0 X1 → False) → (r3_diraf X1 X2 X2 X3 → False) → v2_analoaf X1 → l1_analoaf X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, (v7_struct_0 X1 → False) → (r3_diraf X1 X2 X3 X2 → False) → v2_analoaf X1 → l1_analoaf X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, (v7_struct_0 X1 → False) → (r3_diraf X1 X2 X3 X3 → False) → v2_analoaf X1 → l1_analoaf X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, (v7_struct_0 X1 → False) → (r1_diraf X1 X2 X2 X3 → False) → v2_analoaf X1 → l1_analoaf X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, (v7_struct_0 X1 → False) → (r1_diraf X1 X2 X3 X3 → False) → v2_analoaf X1 → l1_analoaf X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X1, l1_struct_0 X1 → v2_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, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v13_struct_0 X1 np__1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v13_struct_0 X1 np__1 → False) → v7_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → l1_struct_0 X1 → v1_finset_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, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v1_zfmisc_1 (u1_struct_0 X1) → False) → (∀X1, (v13_struct_0 X1 k1_xboole_0 → False) → l1_struct_0 X1 → v2_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) → v7_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v1_xboole_0 (u1_struct_0 X1) → False) → l1_struct_0 X1 → v2_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → l1_struct_0 X1 → v2_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → l1_struct_0 X1 → v2_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → v7_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → v7_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v2_struct_0 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v2_struct_0 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v2_struct_0 X1 → False) → (∀X1, (l1_struct_0 X1 → False) → l1_analoaf X1 → False) → (r3_diraf esk1_0 esk2_0 esk5_0 esk3_0 → False) → (r1_diraf esk1_0 esk2_0 esk5_0 esk6_0 → False) → (v7_struct_0 esk1_0 → False) → ((r2_diraf esk1_0 esk5_0 esk3_0 esk4_0 esk6_0 → False) → False) → ((r3_diraf esk1_0 esk2_0 esk5_0 esk6_0 → False) → False) → ((r1_diraf esk1_0 esk2_0 esk3_0 esk4_0 → False) → False) → (∀X1, (m1_subset_1 (esk9_1 X1) X1 → False) → False) → ((m1_subset_1 esk6_0 (u1_struct_0 esk1_0) → False) → False) → ((m1_subset_1 esk5_0 (u1_struct_0 esk1_0) → 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) → ((l1_struct_0 esk8_0 → False) → False) → ((l1_analoaf esk7_0 → False) → False) → ((l1_analoaf esk1_0 → False) → False) → ((v2_analoaf esk1_0 → False) → False) → False