Theorem. (
t12_projred2)
∀u2_incsp_1 : set → set, ∀k1_projred1 : set → set → set → set → set, ∀k3_relat_1 : set → set → set, ∀k9_xtuple_0 : set → set, ∀v1_incproj : set → prop, ∀v3_incproj : set → prop, ∀v5_incproj : set → prop, ∀l1_incsp_1 : set → prop, ∀v9_incproj : set → prop, ∀v4_incproj : set → prop, ∀v2_incproj : set → prop, ∀v6_incsp_1 : set → prop, ∀k1_zfmisc_1 : set → set, ∀k2_zfmisc_1 : set → set → set, ∀v1_funct_1 : set → prop, ∀k1_projred2 : set → set → set, ∀v1_relat_1 : set → prop, ∀esk9_3 : set → set → set → set, ∀esk11_1 : set → set, ∀esk10_1 : set → set, ∀esk7_1 : set → set, ∀esk8_1 : set → set, ∀v5_relat_1 : set → set → prop, ∀v1_xboole_0 : set → prop, ∀v1_zfmisc_1 : set → prop, ∀esk5_0 : set, ∀esk3_0 : set, ∀esk4_0 : set, ∀esk2_0 : set, ∀esk1_0 : set, ∀esk18_0 : set, ∀esk16_2 : set → set → set, ∀esk13_1 : set → set, ∀esk15_0 : set, ∀esk12_0 : set, ∀esk17_0 : set, ∀esk19_2 : set → set → set, ∀esk20_0 : set, ∀k1_xboole_0 : set, ∀v3_funct_1 : set → prop, ∀v2_funct_1 : set → prop, ∀v4_funct_1 : set → prop, ∀esk22_2 : set → set → set, ∀v4_relat_1 : set → set → prop, ∀esk21_2 : set → set → set, ∀esk6_3 : set → set → set → set, ∀a_2_0_projred2 : set → set → set, ∀esk14_3 : set → set → set → set, ∀k10_xtuple_0 : set → set, ∀esk27_5 : set → set → set → set → set → set, ∀esk26_5 : set → set → set → set → set → set, ∀esk25_5 : set → set → set → set → set → set, ∀esk24_5 : set → set → set → set → set → set, ∀r2_hidden : set → set → prop, ∀k1_relset_1 : set → set → set, ∀r1_tarski : set → set → prop, ∀k1_funct_1 : set → set → set, ∀epred1_5 : set → set → set → set → set → prop, ∀m1_subset_1 : set → set → prop, ∀u1_incsp_1 : set → set, ∀r1_incsp_1 : set → set → set → prop, ∀esk23_7 : set → set → set → set → set → set → set → set, (∀X1 X4 X2 X5 X6 X3 X7, (r1_incsp_1 X1 X2 (esk23_7 X3 X2 X4 X5 X1 X6 X7) → False) → (k1_funct_1 X3 X6) = X7 → r1_incsp_1 X1 X7 X4 → r1_incsp_1 X1 X6 X5 → m1_subset_1 X7 (u1_incsp_1 X1) → m1_subset_1 X6 (u1_incsp_1 X1) → epred1_5 X1 X4 X2 X3 X5 → False) → (∀X1 X5 X4 X6 X2 X3 X7, (r1_incsp_1 X1 X2 (esk23_7 X3 X4 X5 X6 X1 X2 X7) → False) → (k1_funct_1 X3 X2) = X7 → r1_incsp_1 X1 X7 X5 → r1_incsp_1 X1 X2 X6 → m1_subset_1 X7 (u1_incsp_1 X1) → m1_subset_1 X2 (u1_incsp_1 X1) → epred1_5 X1 X5 X4 X3 X6 → False) → (∀X1 X6 X4 X5 X7 X3 X2, (r1_incsp_1 X1 X2 (esk23_7 X3 X4 X5 X6 X1 X7 X2) → False) → (k1_funct_1 X3 X7) = X2 → r1_incsp_1 X1 X7 X6 → r1_incsp_1 X1 X2 X5 → m1_subset_1 X7 (u1_incsp_1 X1) → m1_subset_1 X2 (u1_incsp_1 X1) → epred1_5 X1 X5 X4 X3 X6 → False) → (∀X5 X3 X2 X4 X6 X1 X7, (m1_subset_1 (esk23_7 X1 X2 X3 X4 X5 X6 X7) (u2_incsp_1 X5) → False) → (k1_funct_1 X1 X6) = X7 → r1_incsp_1 X5 X7 X3 → r1_incsp_1 X5 X6 X4 → m1_subset_1 X7 (u1_incsp_1 X5) → m1_subset_1 X6 (u1_incsp_1 X5) → epred1_5 X5 X3 X2 X1 X4 → False) → (∀X6 X3 X4 X1 X2 X5, (epred1_5 X5 X3 X2 X1 X4 → False) → (k1_funct_1 X1 (esk25_5 X1 X2 X3 X4 X5)) = (esk26_5 X1 X2 X3 X4 X5) → r1_incsp_1 X5 X2 X6 → m1_subset_1 X6 (u2_incsp_1 X5) → r1_tarski (k1_relset_1 (u1_incsp_1 X5) X1) (u1_incsp_1 X5) → r1_incsp_1 X5 (esk24_5 X1 X2 X3 X4 X5) X4 → r1_incsp_1 X5 (esk25_5 X1 X2 X3 X4 X5) X6 → r1_incsp_1 X5 (esk26_5 X1 X2 X3 X4 X5) X6 → r2_hidden (esk24_5 X1 X2 X3 X4 X5) (k1_relset_1 (u1_incsp_1 X5) X1) → False) → (∀X6 X3 X4 X1 X2 X5, (epred1_5 X5 X3 X2 X1 X4 → False) → (r1_incsp_1 X5 (esk24_5 X1 X2 X3 X4 X5) X4 → False) → (r2_hidden (esk24_5 X1 X2 X3 X4 X5) (k1_relset_1 (u1_incsp_1 X5) X1) → False) → (k1_funct_1 X1 (esk25_5 X1 X2 X3 X4 X5)) = (esk26_5 X1 X2 X3 X4 X5) → r1_incsp_1 X5 X2 X6 → m1_subset_1 X6 (u2_incsp_1 X5) → r1_tarski (k1_relset_1 (u1_incsp_1 X5) X1) (u1_incsp_1 X5) → r1_incsp_1 X5 (esk25_5 X1 X2 X3 X4 X5) X6 → r1_incsp_1 X5 (esk26_5 X1 X2 X3 X4 X5) X6 → False) → (∀X4 X5 X3 X2 X1, ((k1_funct_1 X2 (esk25_5 X2 X3 X4 X5 X1)) = (esk26_5 X2 X3 X4 X5 X1) → False) → (epred1_5 X1 X4 X3 X2 X5 → False) → (r1_incsp_1 X1 (esk26_5 X2 X3 X4 X5 X1) (esk27_5 X2 X3 X4 X5 X1) → False) → r1_tarski (k1_relset_1 (u1_incsp_1 X1) X2) (u1_incsp_1 X1) → r1_incsp_1 X1 (esk24_5 X2 X3 X4 X5 X1) X5 → r2_hidden (esk24_5 X2 X3 X4 X5 X1) (k1_relset_1 (u1_incsp_1 X1) X2) → False) → (∀X4 X5 X3 X2 X1, ((k1_funct_1 X2 (esk25_5 X2 X3 X4 X5 X1)) = (esk26_5 X2 X3 X4 X5 X1) → False) → (epred1_5 X1 X4 X3 X2 X5 → False) → (r1_incsp_1 X1 (esk25_5 X2 X3 X4 X5 X1) (esk27_5 X2 X3 X4 X5 X1) → False) → r1_tarski (k1_relset_1 (u1_incsp_1 X1) X2) (u1_incsp_1 X1) → r1_incsp_1 X1 (esk24_5 X2 X3 X4 X5 X1) X5 → r2_hidden (esk24_5 X2 X3 X4 X5 X1) (k1_relset_1 (u1_incsp_1 X1) X2) → False) → (∀X6 X3 X4 X1 X2 X5, (epred1_5 X5 X3 X2 X1 X4 → False) → (m1_subset_1 (esk24_5 X1 X2 X3 X4 X5) (u1_incsp_1 X5) → False) → (k1_funct_1 X1 (esk25_5 X1 X2 X3 X4 X5)) = (esk26_5 X1 X2 X3 X4 X5) → r1_incsp_1 X5 X2 X6 → m1_subset_1 X6 (u2_incsp_1 X5) → r1_tarski (k1_relset_1 (u1_incsp_1 X5) X1) (u1_incsp_1 X5) → r1_incsp_1 X5 (esk25_5 X1 X2 X3 X4 X5) X6 → r1_incsp_1 X5 (esk26_5 X1 X2 X3 X4 X5) X6 → False) → (∀X4 X5 X2 X3 X1, ((k1_funct_1 X3 (esk25_5 X3 X2 X4 X5 X1)) = (esk26_5 X3 X2 X4 X5 X1) → False) → (epred1_5 X1 X4 X2 X3 X5 → False) → (r1_incsp_1 X1 X2 (esk27_5 X3 X2 X4 X5 X1) → False) → r1_tarski (k1_relset_1 (u1_incsp_1 X1) X3) (u1_incsp_1 X1) → r1_incsp_1 X1 (esk24_5 X3 X2 X4 X5 X1) X5 → r2_hidden (esk24_5 X3 X2 X4 X5 X1) (k1_relset_1 (u1_incsp_1 X1) X3) → False) → (∀X3 X4 X2 X1 X5, ((k1_funct_1 X1 (esk25_5 X1 X2 X3 X4 X5)) = (esk26_5 X1 X2 X3 X4 X5) → False) → (epred1_5 X5 X3 X2 X1 X4 → False) → (m1_subset_1 (esk27_5 X1 X2 X3 X4 X5) (u2_incsp_1 X5) → False) → r1_tarski (k1_relset_1 (u1_incsp_1 X5) X1) (u1_incsp_1 X5) → r1_incsp_1 X5 (esk24_5 X1 X2 X3 X4 X5) X4 → r2_hidden (esk24_5 X1 X2 X3 X4 X5) (k1_relset_1 (u1_incsp_1 X5) X1) → False) → (∀X4 X5 X3 X1 X2, ((k1_funct_1 X2 (esk25_5 X2 X3 X4 X5 X1)) = (esk26_5 X2 X3 X4 X5 X1) → False) → (epred1_5 X1 X4 X3 X2 X5 → False) → (r1_incsp_1 X1 (esk24_5 X2 X3 X4 X5 X1) X5 → False) → (r2_hidden (esk24_5 X2 X3 X4 X5 X1) (k1_relset_1 (u1_incsp_1 X1) X2) → False) → (r1_incsp_1 X1 (esk26_5 X2 X3 X4 X5 X1) (esk27_5 X2 X3 X4 X5 X1) → False) → r1_tarski (k1_relset_1 (u1_incsp_1 X1) X2) (u1_incsp_1 X1) → False) → (∀X4 X5 X3 X1 X2, ((k1_funct_1 X2 (esk25_5 X2 X3 X4 X5 X1)) = (esk26_5 X2 X3 X4 X5 X1) → False) → (epred1_5 X1 X4 X3 X2 X5 → False) → (r1_incsp_1 X1 (esk24_5 X2 X3 X4 X5 X1) X5 → False) → (r2_hidden (esk24_5 X2 X3 X4 X5 X1) (k1_relset_1 (u1_incsp_1 X1) X2) → False) → (r1_incsp_1 X1 (esk25_5 X2 X3 X4 X5 X1) (esk27_5 X2 X3 X4 X5 X1) → False) → r1_tarski (k1_relset_1 (u1_incsp_1 X1) X2) (u1_incsp_1 X1) → False) → (∀X2 X5 X4 X1 X3, ((k1_funct_1 X3 (esk25_5 X3 X2 X4 X5 X1)) = (esk26_5 X3 X2 X4 X5 X1) → False) → (epred1_5 X1 X4 X2 X3 X5 → False) → (r1_incsp_1 X1 X2 (esk27_5 X3 X2 X4 X5 X1) → False) → (r1_incsp_1 X1 (esk24_5 X3 X2 X4 X5 X1) X5 → False) → (r2_hidden (esk24_5 X3 X2 X4 X5 X1) (k1_relset_1 (u1_incsp_1 X1) X3) → False) → r1_tarski (k1_relset_1 (u1_incsp_1 X1) X3) (u1_incsp_1 X1) → False) → (∀X2 X4 X3 X5 X1, ((k1_funct_1 X1 (esk25_5 X1 X2 X3 X4 X5)) = (esk26_5 X1 X2 X3 X4 X5) → False) → (epred1_5 X5 X3 X2 X1 X4 → False) → (r1_incsp_1 X5 (esk24_5 X1 X2 X3 X4 X5) X4 → False) → (m1_subset_1 (esk27_5 X1 X2 X3 X4 X5) (u2_incsp_1 X5) → False) → (r2_hidden (esk24_5 X1 X2 X3 X4 X5) (k1_relset_1 (u1_incsp_1 X5) X1) → False) → r1_tarski (k1_relset_1 (u1_incsp_1 X5) X1) (u1_incsp_1 X5) → False) → (∀X4 X5 X3 X1 X2, ((k1_funct_1 X2 (esk25_5 X2 X3 X4 X5 X1)) = (esk26_5 X2 X3 X4 X5 X1) → False) → (epred1_5 X1 X4 X3 X2 X5 → False) → (m1_subset_1 (esk24_5 X2 X3 X4 X5 X1) (u1_incsp_1 X1) → False) → (r1_incsp_1 X1 (esk26_5 X2 X3 X4 X5 X1) (esk27_5 X2 X3 X4 X5 X1) → False) → r1_tarski (k1_relset_1 (u1_incsp_1 X1) X2) (u1_incsp_1 X1) → False) → (∀X4 X5 X3 X1 X2, ((k1_funct_1 X2 (esk25_5 X2 X3 X4 X5 X1)) = (esk26_5 X2 X3 X4 X5 X1) → False) → (epred1_5 X1 X4 X3 X2 X5 → False) → (m1_subset_1 (esk24_5 X2 X3 X4 X5 X1) (u1_incsp_1 X1) → False) → (r1_incsp_1 X1 (esk25_5 X2 X3 X4 X5 X1) (esk27_5 X2 X3 X4 X5 X1) → False) → r1_tarski (k1_relset_1 (u1_incsp_1 X1) X2) (u1_incsp_1 X1) → False) → (∀X4 X5 X3 X2 X1, (epred1_5 X1 X4 X3 X2 X5 → False) → (r1_incsp_1 X1 (esk26_5 X2 X3 X4 X5 X1) X4 → False) → r1_tarski (k1_relset_1 (u1_incsp_1 X1) X2) (u1_incsp_1 X1) → r1_incsp_1 X1 (esk24_5 X2 X3 X4 X5 X1) X5 → r2_hidden (esk24_5 X2 X3 X4 X5 X1) (k1_relset_1 (u1_incsp_1 X1) X2) → False) → (∀X4 X5 X3 X2 X1, (epred1_5 X1 X4 X3 X2 X5 → False) → (r1_incsp_1 X1 (esk25_5 X2 X3 X4 X5 X1) X5 → False) → r1_tarski (k1_relset_1 (u1_incsp_1 X1) X2) (u1_incsp_1 X1) → r1_incsp_1 X1 (esk24_5 X2 X3 X4 X5 X1) X5 → r2_hidden (esk24_5 X2 X3 X4 X5 X1) (k1_relset_1 (u1_incsp_1 X1) X2) → False) → (∀X3 X4 X2 X1 X5, (epred1_5 X5 X3 X2 X1 X4 → False) → (m1_subset_1 (esk26_5 X1 X2 X3 X4 X5) (u1_incsp_1 X5) → False) → r1_tarski (k1_relset_1 (u1_incsp_1 X5) X1) (u1_incsp_1 X5) → r1_incsp_1 X5 (esk24_5 X1 X2 X3 X4 X5) X4 → r2_hidden (esk24_5 X1 X2 X3 X4 X5) (k1_relset_1 (u1_incsp_1 X5) X1) → False) → (∀X3 X4 X2 X1 X5, (epred1_5 X5 X3 X2 X1 X4 → False) → (m1_subset_1 (esk25_5 X1 X2 X3 X4 X5) (u1_incsp_1 X5) → False) → r1_tarski (k1_relset_1 (u1_incsp_1 X5) X1) (u1_incsp_1 X5) → r1_incsp_1 X5 (esk24_5 X1 X2 X3 X4 X5) X4 → r2_hidden (esk24_5 X1 X2 X3 X4 X5) (k1_relset_1 (u1_incsp_1 X5) X1) → False) → (∀X2 X5 X4 X1 X3, ((k1_funct_1 X3 (esk25_5 X3 X2 X4 X5 X1)) = (esk26_5 X3 X2 X4 X5 X1) → False) → (epred1_5 X1 X4 X2 X3 X5 → False) → (r1_incsp_1 X1 X2 (esk27_5 X3 X2 X4 X5 X1) → False) → (m1_subset_1 (esk24_5 X3 X2 X4 X5 X1) (u1_incsp_1 X1) → False) → r1_tarski (k1_relset_1 (u1_incsp_1 X1) X3) (u1_incsp_1 X1) → False) → (∀X2 X4 X3 X5 X1, ((k1_funct_1 X1 (esk25_5 X1 X2 X3 X4 X5)) = (esk26_5 X1 X2 X3 X4 X5) → False) → (epred1_5 X5 X3 X2 X1 X4 → False) → (m1_subset_1 (esk24_5 X1 X2 X3 X4 X5) (u1_incsp_1 X5) → False) → (m1_subset_1 (esk27_5 X1 X2 X3 X4 X5) (u2_incsp_1 X5) → False) → r1_tarski (k1_relset_1 (u1_incsp_1 X5) X1) (u1_incsp_1 X5) → False) → (∀X3 X5 X4 X1 X2, (epred1_5 X1 X4 X3 X2 X5 → False) → (r1_incsp_1 X1 (esk24_5 X2 X3 X4 X5 X1) X5 → False) → (r1_incsp_1 X1 (esk26_5 X2 X3 X4 X5 X1) X4 → False) → (r2_hidden (esk24_5 X2 X3 X4 X5 X1) (k1_relset_1 (u1_incsp_1 X1) X2) → False) → r1_tarski (k1_relset_1 (u1_incsp_1 X1) X2) (u1_incsp_1 X1) → False) → (∀X3 X5 X4 X1 X2, (epred1_5 X1 X4 X3 X2 X5 → False) → (r1_incsp_1 X1 (esk24_5 X2 X3 X4 X5 X1) X5 → False) → (r1_incsp_1 X1 (esk25_5 X2 X3 X4 X5 X1) X5 → False) → (r2_hidden (esk24_5 X2 X3 X4 X5 X1) (k1_relset_1 (u1_incsp_1 X1) X2) → False) → r1_tarski (k1_relset_1 (u1_incsp_1 X1) X2) (u1_incsp_1 X1) → False) → (∀X2 X4 X3 X5 X1, (epred1_5 X5 X3 X2 X1 X4 → False) → (r1_incsp_1 X5 (esk24_5 X1 X2 X3 X4 X5) X4 → False) → (m1_subset_1 (esk26_5 X1 X2 X3 X4 X5) (u1_incsp_1 X5) → False) → (r2_hidden (esk24_5 X1 X2 X3 X4 X5) (k1_relset_1 (u1_incsp_1 X5) X1) → False) → r1_tarski (k1_relset_1 (u1_incsp_1 X5) X1) (u1_incsp_1 X5) → False) → (∀X2 X4 X3 X5 X1, (epred1_5 X5 X3 X2 X1 X4 → False) → (r1_incsp_1 X5 (esk24_5 X1 X2 X3 X4 X5) X4 → False) → (m1_subset_1 (esk25_5 X1 X2 X3 X4 X5) (u1_incsp_1 X5) → False) → (r2_hidden (esk24_5 X1 X2 X3 X4 X5) (k1_relset_1 (u1_incsp_1 X5) X1) → False) → r1_tarski (k1_relset_1 (u1_incsp_1 X5) X1) (u1_incsp_1 X5) → False) → (∀X3 X5 X4 X1 X2, (epred1_5 X1 X4 X3 X2 X5 → False) → (r1_incsp_1 X1 (esk26_5 X2 X3 X4 X5 X1) X4 → False) → (m1_subset_1 (esk24_5 X2 X3 X4 X5 X1) (u1_incsp_1 X1) → False) → r1_tarski (k1_relset_1 (u1_incsp_1 X1) X2) (u1_incsp_1 X1) → False) → (∀X3 X5 X4 X1 X2, (epred1_5 X1 X4 X3 X2 X5 → False) → (r1_incsp_1 X1 (esk25_5 X2 X3 X4 X5 X1) X5 → False) → (m1_subset_1 (esk24_5 X2 X3 X4 X5 X1) (u1_incsp_1 X1) → False) → r1_tarski (k1_relset_1 (u1_incsp_1 X1) X2) (u1_incsp_1 X1) → False) → (∀X2 X4 X3 X5 X1, (epred1_5 X5 X3 X2 X1 X4 → False) → (m1_subset_1 (esk24_5 X1 X2 X3 X4 X5) (u1_incsp_1 X5) → False) → (m1_subset_1 (esk26_5 X1 X2 X3 X4 X5) (u1_incsp_1 X5) → False) → r1_tarski (k1_relset_1 (u1_incsp_1 X5) X1) (u1_incsp_1 X5) → False) → (∀X2 X4 X3 X5 X1, (epred1_5 X5 X3 X2 X1 X4 → False) → (m1_subset_1 (esk24_5 X1 X2 X3 X4 X5) (u1_incsp_1 X5) → False) → (m1_subset_1 (esk25_5 X1 X2 X3 X4 X5) (u1_incsp_1 X5) → False) → r1_tarski (k1_relset_1 (u1_incsp_1 X5) X1) (u1_incsp_1 X5) → False) → (∀X3 X2 X4 X5 X6 X1, ((k9_xtuple_0 (k3_relat_1 (k1_projred1 X1 X2 X3 X4) (k1_projred1 X1 X3 X5 X6))) = (k1_relset_1 (u1_incsp_1 X1) (k1_projred1 X1 X2 X3 X4)) → False) → (r1_incsp_1 X1 X6 X5 → False) → (r1_incsp_1 X1 X6 X3 → False) → (r1_incsp_1 X1 X4 X3 → False) → (r1_incsp_1 X1 X4 X2 → False) → v6_incsp_1 X1 → v1_incproj X1 → v2_incproj X1 → v3_incproj X1 → v4_incproj X1 → v5_incproj X1 → v9_incproj X1 → l1_incsp_1 X1 → m1_subset_1 X6 (u1_incsp_1 X1) → m1_subset_1 X5 (u2_incsp_1 X1) → m1_subset_1 X4 (u1_incsp_1 X1) → m1_subset_1 X3 (u2_incsp_1 X1) → m1_subset_1 X2 (u2_incsp_1 X1) → False) → (∀X3 X2 X4 X5 X6 X1, ((k10_xtuple_0 (k3_relat_1 (k1_projred1 X1 X2 X3 X4) (k1_projred1 X1 X3 X5 X6))) = (k10_xtuple_0 (k1_projred1 X1 X3 X5 X6)) → False) → (r1_incsp_1 X1 X6 X5 → False) → (r1_incsp_1 X1 X6 X3 → False) → (r1_incsp_1 X1 X4 X3 → False) → (r1_incsp_1 X1 X4 X2 → False) → v6_incsp_1 X1 → v1_incproj X1 → v2_incproj X1 → v3_incproj X1 → v4_incproj X1 → v5_incproj X1 → v9_incproj X1 → l1_incsp_1 X1 → m1_subset_1 X6 (u1_incsp_1 X1) → m1_subset_1 X5 (u2_incsp_1 X1) → m1_subset_1 X4 (u1_incsp_1 X1) → m1_subset_1 X3 (u2_incsp_1 X1) → m1_subset_1 X2 (u2_incsp_1 X1) → False) → (∀X2 X4 X5 X3 X1, (X4 = (k1_projred1 X1 X5 X2 X3) → False) → (r1_incsp_1 X1 X3 X5 → False) → (r1_incsp_1 X1 X3 X2 → False) → v6_incsp_1 X1 → v1_incproj X1 → v2_incproj X1 → v3_incproj X1 → v4_incproj X1 → v5_incproj X1 → v9_incproj X1 → l1_incsp_1 X1 → v1_funct_1 X4 → m1_subset_1 X5 (u2_incsp_1 X1) → m1_subset_1 X3 (u1_incsp_1 X1) → m1_subset_1 X2 (u2_incsp_1 X1) → epred1_5 X1 X2 X3 X4 X5 → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 (u1_incsp_1 X1) (u1_incsp_1 X1))) → False) → (∀X2 X8 X7 X3 X1 X4 X6 X5, ((k1_funct_1 X6 X4) = X5 → False) → r1_incsp_1 X2 X5 X8 → r1_incsp_1 X2 X5 X1 → r1_incsp_1 X2 X4 X7 → r1_incsp_1 X2 X4 X1 → r1_incsp_1 X2 X3 X1 → m1_subset_1 X5 (u1_incsp_1 X2) → m1_subset_1 X4 (u1_incsp_1 X2) → m1_subset_1 X1 (u2_incsp_1 X2) → epred1_5 X2 X8 X3 X6 X7 → False) → (∀X3 X5 X6 X1 X4 X2, (r2_hidden X2 (k1_relset_1 (u1_incsp_1 X1) X4) → False) → r1_incsp_1 X1 X2 X3 → m1_subset_1 X2 (u1_incsp_1 X1) → epred1_5 X1 X5 X6 X4 X3 → False) → (∀X6 X5 X3 X4 X1 X2, (r1_incsp_1 X2 X1 X4 → False) → m1_subset_1 X1 (u1_incsp_1 X2) → epred1_5 X2 X5 X6 X3 X4 → r2_hidden X1 (k1_relset_1 (u1_incsp_1 X2) X3) → False) → (∀X3 X1 X4 X5 X2, (r1_incsp_1 X2 X5 X4 → False) → (r1_incsp_1 X2 X5 X3 → False) → (epred1_5 X2 X4 X5 X1 X3 → False) → X1 = (k1_projred1 X2 X3 X4 X5) → v6_incsp_1 X2 → v1_incproj X2 → v2_incproj X2 → v3_incproj X2 → v4_incproj X2 → v5_incproj X2 → v9_incproj X2 → l1_incsp_1 X2 → v1_funct_1 X1 → m1_subset_1 X5 (u1_incsp_1 X2) → m1_subset_1 X4 (u2_incsp_1 X2) → m1_subset_1 X3 (u2_incsp_1 X2) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (u1_incsp_1 X2) (u1_incsp_1 X2))) → False) → (∀X3 X5 X4 X2 X1, (r1_tarski (k1_relset_1 (u1_incsp_1 X1) X2) (u1_incsp_1 X1) → False) → epred1_5 X1 X3 X4 X2 X5 → False) → (∀X3 X4 X2 X1, ((k1_relset_1 (u1_incsp_1 X1) (k1_projred1 X1 X3 X4 X2)) = (k1_projred2 X1 X3) → False) → (r1_incsp_1 X1 X2 X4 → False) → (r1_incsp_1 X1 X2 X3 → False) → v6_incsp_1 X1 → v1_incproj X1 → v2_incproj X1 → v3_incproj X1 → v4_incproj X1 → v5_incproj X1 → v9_incproj X1 → l1_incsp_1 X1 → m1_subset_1 X4 (u2_incsp_1 X1) → m1_subset_1 X3 (u2_incsp_1 X1) → m1_subset_1 X2 (u1_incsp_1 X1) → False) → (∀X2 X3 X4 X1, (m1_subset_1 (k1_projred1 X1 X2 X3 X4) (k1_zfmisc_1 (k2_zfmisc_1 (u1_incsp_1 X1) (u1_incsp_1 X1))) → False) → v6_incsp_1 X1 → v1_incproj X1 → v2_incproj X1 → v3_incproj X1 → v4_incproj X1 → v5_incproj X1 → v9_incproj X1 → l1_incsp_1 X1 → m1_subset_1 X4 (u1_incsp_1 X1) → m1_subset_1 X3 (u2_incsp_1 X1) → m1_subset_1 X2 (u2_incsp_1 X1) → False) → (∀X2 X3 X4 X1, (v1_funct_1 (k1_projred1 X1 X2 X3 X4) → False) → v6_incsp_1 X1 → v1_incproj X1 → v2_incproj X1 → v3_incproj X1 → v4_incproj X1 → v5_incproj X1 → v9_incproj X1 → l1_incsp_1 X1 → m1_subset_1 X4 (u1_incsp_1 X1) → m1_subset_1 X3 (u2_incsp_1 X1) → m1_subset_1 X2 (u2_incsp_1 X1) → False) → (∀X2 X3 X1, (r1_incsp_1 X1 (esk14_3 X2 X1 X3) X3 → False) → v6_incsp_1 X1 → v1_incproj X1 → v2_incproj X1 → v3_incproj X1 → v4_incproj X1 → l1_incsp_1 X1 → m1_subset_1 X3 (u2_incsp_1 X1) → r2_hidden X2 (a_2_0_projred2 X1 X3) → False) → (∀X4 X2 X3 X1, (v1_relat_1 (k9_xtuple_0 X1) → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X3) X4)) → False) → (∀X2 X4 X3 X1, (v1_relat_1 (k10_xtuple_0 X1) → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 (k2_zfmisc_1 X3 X4))) → False) → (∀X2 X3 X1, (r1_incsp_1 X1 (esk9_3 X1 X2 X3) X2 → False) → v6_incsp_1 X1 → v1_incproj X1 → v2_incproj X1 → v3_incproj X1 → v4_incproj X1 → v5_incproj X1 → l1_incsp_1 X1 → m1_subset_1 X3 (u2_incsp_1 X1) → m1_subset_1 X2 (u2_incsp_1 X1) → False) → (∀X2 X3 X1, (r1_incsp_1 X1 (esk9_3 X1 X2 X3) X3 → False) → v6_incsp_1 X1 → v1_incproj X1 → v2_incproj X1 → v3_incproj X1 → v4_incproj X1 → v5_incproj X1 → l1_incsp_1 X1 → m1_subset_1 X3 (u2_incsp_1 X1) → m1_subset_1 X2 (u2_incsp_1 X1) → False) → (∀X1 X2, (v5_incproj X2 → False) → v6_incsp_1 X2 → v1_incproj X2 → v2_incproj X2 → v3_incproj X2 → v4_incproj X2 → l1_incsp_1 X2 → m1_subset_1 X1 (u1_incsp_1 X2) → r1_incsp_1 X2 X1 (esk10_1 X2) → r1_incsp_1 X2 X1 (esk11_1 X2) → False) → (∀X1 X3 X2, (m1_subset_1 (esk14_3 X1 X2 X3) (u1_incsp_1 X2) → False) → v6_incsp_1 X2 → v1_incproj X2 → v2_incproj X2 → v3_incproj X2 → v4_incproj X2 → l1_incsp_1 X2 → m1_subset_1 X3 (u2_incsp_1 X2) → r2_hidden X1 (a_2_0_projred2 X2 X3) → False) → (∀X2 X3 X1, (m1_subset_1 (esk9_3 X1 X2 X3) (u1_incsp_1 X1) → False) → v6_incsp_1 X1 → v1_incproj X1 → v2_incproj X1 → v3_incproj X1 → v4_incproj X1 → v5_incproj X1 → l1_incsp_1 X1 → m1_subset_1 X3 (u2_incsp_1 X1) → m1_subset_1 X2 (u2_incsp_1 X1) → False) → (∀X3 X2 X1, (r1_incsp_1 X1 X2 (esk6_3 X1 X2 X3) → False) → v6_incsp_1 X1 → l1_incsp_1 X1 → m1_subset_1 X3 (u1_incsp_1 X1) → m1_subset_1 X2 (u1_incsp_1 X1) → False) → (∀X3 X2 X1, (r1_incsp_1 X1 X2 (esk6_3 X1 X3 X2) → False) → v6_incsp_1 X1 → l1_incsp_1 X1 → m1_subset_1 X3 (u1_incsp_1 X1) → m1_subset_1 X2 (u1_incsp_1 X1) → False) → (∀X1 X2 X4 X3, (r2_hidden X3 (a_2_0_projred2 X2 X4) → False) → X1 = X3 → v6_incsp_1 X2 → v1_incproj X2 → v2_incproj X2 → v3_incproj X2 → v4_incproj X2 → l1_incsp_1 X2 → r1_incsp_1 X2 X1 X4 → m1_subset_1 X4 (u2_incsp_1 X2) → m1_subset_1 X1 (u1_incsp_1 X2) → False) → (∀X1 X2, (v6_incsp_1 X2 → False) → l1_incsp_1 X2 → m1_subset_1 X1 (u2_incsp_1 X2) → r1_incsp_1 X2 (esk7_1 X2) X1 → r1_incsp_1 X2 (esk8_1 X2) X1 → False) → (∀X3 X2 X1, (m1_subset_1 (esk6_3 X1 X2 X3) (u2_incsp_1 X1) → False) → v6_incsp_1 X1 → l1_incsp_1 X1 → m1_subset_1 X3 (u1_incsp_1 X1) → m1_subset_1 X2 (u1_incsp_1 X1) → False) → (∀X1 X3 X2, ((esk14_3 X1 X2 X3) = X1 → False) → v6_incsp_1 X2 → v1_incproj X2 → v2_incproj X2 → v3_incproj X2 → v4_incproj X2 → l1_incsp_1 X2 → m1_subset_1 X3 (u2_incsp_1 X2) → r2_hidden X1 (a_2_0_projred2 X2 X3) → False) → (∀X1 X2, (X1 = X2 → False) → (k9_xtuple_0 X1) = (k9_xtuple_0 X2) → (k1_funct_1 X1 (esk21_2 X1 X2)) = (k1_funct_1 X2 (esk21_2 X1 X2)) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → False) → (∀X1 X3 X2, ((k1_funct_1 (k3_relat_1 X1 X2) X3) = (k1_funct_1 X2 (k1_funct_1 X1 X3)) → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → r2_hidden X3 (k9_xtuple_0 X1) → False) → (∀X2 X1, (m1_subset_1 (k1_projred2 X1 X2) (k1_zfmisc_1 (u1_incsp_1 X1)) → False) → v6_incsp_1 X1 → v1_incproj X1 → v2_incproj X1 → v3_incproj X1 → v4_incproj X1 → l1_incsp_1 X1 → m1_subset_1 X2 (u2_incsp_1 X1) → False) → (∀X3 X1 X2, (v5_relat_1 X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X2)) → False) → (∀X3 X1 X2, (v4_relat_1 X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X1 X3 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → False) → (∀X1 X3 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X3 X2 X1, (v1_relat_1 X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X1 X3 X2, r2_hidden X3 X2 → r2_hidden X1 X2 → r2_hidden X1 (esk22_2 X3 X2) → False) → (∀X2 X1, ((k1_projred2 X1 X2) = (a_2_0_projred2 X1 X2) → False) → v6_incsp_1 X1 → v1_incproj X1 → v2_incproj X1 → v3_incproj X1 → v4_incproj X1 → l1_incsp_1 X1 → m1_subset_1 X2 (u2_incsp_1 X1) → False) → (∀X1 X2, (X1 = X2 → False) → (r2_hidden (esk21_2 X1 X2) (k9_xtuple_0 X1) → False) → (k9_xtuple_0 X1) = (k9_xtuple_0 X2) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → False) → (∀X2 X1, (m1_subset_1 (k1_relset_1 X2 X1) (k1_zfmisc_1 X2) → False) → v1_relat_1 X1 → v4_relat_1 X1 X2 → False) → (∀X2 X3 X1, (v1_relat_1 (k1_funct_1 X1 X2) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v4_funct_1 X3 → v5_relat_1 X1 X3 → False) → (∀X2 X3 X1, (v1_funct_1 (k1_funct_1 X1 X2) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v4_funct_1 X3 → v5_relat_1 X1 X3 → False) → (∀X1, (v5_incproj X1 → False) → (m1_subset_1 (esk11_1 X1) (u2_incsp_1 X1) → False) → v6_incsp_1 X1 → v1_incproj X1 → v2_incproj X1 → v3_incproj X1 → v4_incproj X1 → l1_incsp_1 X1 → False) → (∀X1, (v5_incproj X1 → False) → (m1_subset_1 (esk10_1 X1) (u2_incsp_1 X1) → False) → v6_incsp_1 X1 → v1_incproj X1 → v2_incproj X1 → v3_incproj X1 → v4_incproj X1 → l1_incsp_1 X1 → False) → (∀X1 X2, (v2_funct_1 (k3_relat_1 X1 X2) → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → v2_funct_1 X2 → v2_funct_1 X1 → False) → (∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2) → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → v2_funct_1 X2 → v2_funct_1 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 (esk22_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 X2, (v1_relat_1 (k3_relat_1 X1 X2) → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → False) → (∀X1 X2, (v1_funct_1 (k3_relat_1 X1 X2) → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → False) → (∀X1 X2, (v1_funct_1 X2 → False) → v1_funct_1 X1 → v1_relat_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, ((k1_relset_1 X2 X1) = (k9_xtuple_0 X1) → False) → v1_relat_1 X1 → v4_relat_1 X1 X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden X1 X2 → False) → (∀X1 X2, (v4_funct_1 X2 → False) → v4_funct_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → 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) → (∀X1, (v6_incsp_1 X1 → False) → (m1_subset_1 (esk8_1 X1) (u1_incsp_1 X1) → False) → l1_incsp_1 X1 → False) → (∀X1, (v6_incsp_1 X1 → False) → (m1_subset_1 (esk7_1 X1) (u1_incsp_1 X1) → False) → l1_incsp_1 X1 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_funct_1 X1 → v1_relat_1 X1 → v1_zfmisc_1 (k9_xtuple_0 X1) → False) → (∀X1, (v3_funct_1 X1 → False) → v1_funct_1 X1 → v1_relat_1 X1 → v1_zfmisc_1 (k10_xtuple_0 X1) → False) → (∀X2 X1, (v1_relat_1 X1 → False) → v4_funct_1 X2 → m1_subset_1 X1 X2 → False) → (∀X2 X1, (v1_funct_1 X1 → False) → v4_funct_1 X2 → m1_subset_1 X1 X2 → False) → (∀X1, (v1_zfmisc_1 (k10_xtuple_0 X1) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v3_funct_1 X1 → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_funct_1 X1 → v1_relat_1 X1 → v1_zfmisc_1 X1 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_funct_1 X1 → v1_relat_1 X1 → v1_zfmisc_1 X1 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_xboole_0 X1 → v1_funct_1 X1 → v1_relat_1 X1 → False) → (∀X1, (v2_funct_1 X1 → False) → v1_xboole_0 X1 → v1_funct_1 X1 → v1_relat_1 X1 → False) → (∀X1, l1_incsp_1 X1 → v1_xboole_0 (u2_incsp_1 X1) → False) → (∀X1, l1_incsp_1 X1 → v1_xboole_0 (u1_incsp_1 X1) → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (v4_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → ((k3_relat_1 (k1_projred1 esk1_0 esk3_0 esk5_0 esk2_0) (k1_projred1 esk1_0 esk5_0 esk4_0 esk2_0)) = (k1_projred1 esk1_0 esk3_0 esk4_0 esk2_0) → False) → (r1_incsp_1 esk1_0 esk2_0 esk5_0 → False) → (r1_incsp_1 esk1_0 esk2_0 esk4_0 → False) → (r1_incsp_1 esk1_0 esk2_0 esk3_0 → False) → (v3_funct_1 esk18_0 → False) → (v1_xboole_0 esk20_0 → False) → (∀X2 X1, (m1_subset_1 (esk16_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → False) → (∀X2 X1, (v5_relat_1 (esk19_2 X1 X2) X2 → False) → False) → (∀X2 X1, (v5_relat_1 (esk16_2 X1 X2) X2 → False) → False) → (∀X1 X2, (v4_relat_1 (esk19_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v4_relat_1 (esk16_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v1_relat_1 (esk19_2 X1 X2) → False) → False) → (∀X1 X2, (v1_relat_1 (esk16_2 X1 X2) → False) → False) → (∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2) → False) → False) → (∀X1 X2, (v1_funct_1 (esk19_2 X1 X2) → False) → False) → (∀X1 X2, (v1_xboole_0 (esk16_2 X1 X2) → False) → False) → (∀X1, (m1_subset_1 (esk13_1 X1) X1 → False) → False) → ((m1_subset_1 esk5_0 (u2_incsp_1 esk1_0) → False) → False) → ((m1_subset_1 esk4_0 (u2_incsp_1 esk1_0) → False) → False) → ((m1_subset_1 esk3_0 (u2_incsp_1 esk1_0) → False) → False) → ((m1_subset_1 esk2_0 (u1_incsp_1 esk1_0) → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → ((v4_funct_1 esk20_0 → False) → False) → ((v2_funct_1 esk17_0 → False) → False) → ((v1_relat_1 esk18_0 → False) → False) → ((v1_relat_1 esk17_0 → False) → False) → ((v1_relat_1 esk15_0 → False) → False) → ((v1_funct_1 esk18_0 → False) → False) → ((v1_funct_1 esk17_0 → False) → False) → ((v1_funct_1 esk15_0 → False) → False) → ((l1_incsp_1 esk12_0 → False) → False) → ((l1_incsp_1 esk1_0 → False) → False) → ((v9_incproj esk1_0 → False) → False) → ((v5_incproj esk1_0 → False) → False) → ((v4_incproj esk1_0 → False) → False) → ((v3_incproj esk1_0 → False) → False) → ((v2_incproj esk1_0 → False) → False) → ((v1_incproj esk1_0 → False) → False) → ((v6_incsp_1 esk1_0 → False) → False) → False