Theorem. (
t27_filter_1)
∀esk7_3 : set → set → set → set, ∀esk8_3 : set → set → set → set, ∀esk9_3 : set → set → set → set, ∀k3_binop_1 : set → set → set → set → set, ∀r4_binop_1 : set → set → set → prop, ∀esk4_0 : set, ∀esk3_0 : set, ∀esk1_0 : set, ∀esk2_0 : set, ∀esk5_0 : set, ∀esk6_0 : set, ∀k1_tarski : set → set, ∀k2_tarski : set → set → set, ∀v1_partfun1 : set → set → prop, ∀v1_relat_1 : set → prop, ∀k1_funct_1 : set → set → set, ∀v4_relat_1 : set → set → prop, ∀esk21_2 : set → set → set, ∀v1_subset_1 : set → set → prop, ∀v1_zfmisc_1 : set → prop, ∀esk29_1 : set → set, ∀esk25_1 : set → set, ∀v2_funct_1 : set → prop, ∀o_1_0_filter_1 : set → set, ∀k1_xboole_0 : set, ∀esk30_0 : set, ∀esk14_0 : set, ∀esk15_2 : set → set → set, ∀esk12_2 : set → set → set, ∀esk28_2 : set → set → set, ∀esk19_1 : set → set, ∀esk10_1 : set → set, ∀esk20_0 : set, ∀esk17_0 : set, ∀o_0_0_xboole_0 : set, ∀esk11_0 : set, ∀esk18_0 : set, ∀esk31_1 : set → set, ∀esk22_2 : set → set → set, ∀esk13_2 : set → set → set, ∀esk24_0 : set, ∀esk26_0 : set, ∀esk23_1 : set → set, ∀v2_relat_1 : set → prop, ∀v3_funct_1 : set → prop, ∀esk16_1 : set → set, ∀esk27_1 : set → set, ∀r1_tarski : set → set → prop, ∀v3_relat_1 : set → prop, ∀r2_hidden : set → set → prop, ∀v4_funct_1 : set → prop, ∀v5_relat_1 : set → set → prop, ∀k3_funct_4 : set → set → set, ∀k5_binop_1 : set → set → set → set → set, ∀v1_xboole_0 : set → prop, ∀v1_funct_1 : set → prop, ∀k2_zfmisc_1 : set → set → set, ∀m1_subset_1 : set → set → prop, ∀k1_zfmisc_1 : set → set, ∀v1_funct_2 : set → set → set → prop, ∀k1_domain_1 : set → set → set → set → set, ∀esk32_6 : set → set → set → set → set → set → set, ∀esk35_6 : set → set → set → set → set → set → set, ∀esk37_6 : set → set → set → set → set → set → set, ∀esk34_6 : set → set → set → set → set → set → set, ∀esk36_6 : set → set → set → set → set → set → set, ∀esk33_6 : set → set → set → set → set → set → set, ∀k1_binop_1 : set → set → set → set, ∀k6_filter_1 : set → set → set → set → set, (∀X1 X9 X7 X8 X4 X3 X6 X5 X2, ((k1_binop_1 (k6_filter_1 X1 X2 X5 X6) (k1_binop_1 (k6_filter_1 X1 X2 X3 X4) X7 X8) (k1_binop_1 (k6_filter_1 X1 X2 X3 X4) X7 X9)) = (k1_binop_1 (k6_filter_1 X1 X2 X3 X4) X7 (k1_binop_1 (k6_filter_1 X1 X2 X5 X6) X8 X9)) → False) → (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (k1_binop_1 (k6_filter_1 X1 X2 X5 X6) (k1_binop_1 (k6_filter_1 X1 X2 X3 X4) (k1_domain_1 X1 X2 (esk32_6 X1 X2 X3 X5 X4 X6) (esk35_6 X1 X2 X3 X5 X4 X6)) (k1_domain_1 X1 X2 (esk33_6 X1 X2 X3 X5 X4 X6) (esk36_6 X1 X2 X3 X5 X4 X6))) (k1_binop_1 (k6_filter_1 X1 X2 X3 X4) (k1_domain_1 X1 X2 (esk32_6 X1 X2 X3 X5 X4 X6) (esk35_6 X1 X2 X3 X5 X4 X6)) (k1_domain_1 X1 X2 (esk34_6 X1 X2 X3 X5 X4 X6) (esk37_6 X1 X2 X3 X5 X4 X6)))) = (k1_binop_1 (k6_filter_1 X1 X2 X3 X4) (k1_domain_1 X1 X2 (esk32_6 X1 X2 X3 X5 X4 X6) (esk35_6 X1 X2 X3 X5 X4 X6)) (k1_binop_1 (k6_filter_1 X1 X2 X5 X6) (k1_domain_1 X1 X2 (esk33_6 X1 X2 X3 X5 X4 X6) (esk36_6 X1 X2 X3 X5 X4 X6)) (k1_domain_1 X1 X2 (esk34_6 X1 X2 X3 X5 X4 X6) (esk37_6 X1 X2 X3 X5 X4 X6)))) → v1_funct_1 X6 → v1_funct_1 X5 → v1_funct_1 X4 → v1_funct_1 X3 → m1_subset_1 X9 (k2_zfmisc_1 X1 X2) → m1_subset_1 X8 (k2_zfmisc_1 X1 X2) → m1_subset_1 X7 (k2_zfmisc_1 X1 X2) → v1_funct_2 X6 (k2_zfmisc_1 X2 X2) X2 → v1_funct_2 X5 (k2_zfmisc_1 X1 X1) X1 → v1_funct_2 X4 (k2_zfmisc_1 X2 X2) X2 → v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1 → m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2)) → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → False) → (∀X1 X9 X7 X8 X3 X6 X5 X4 X2, ((k1_binop_1 (k6_filter_1 X1 X2 X4 X6) (k1_binop_1 (k6_filter_1 X1 X2 X3 X5) X7 X8) (k1_binop_1 (k6_filter_1 X1 X2 X3 X5) X7 X9)) = (k1_binop_1 (k6_filter_1 X1 X2 X3 X5) X7 (k1_binop_1 (k6_filter_1 X1 X2 X4 X6) X8 X9)) → False) → (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m1_subset_1 (esk37_6 X1 X2 X3 X4 X5 X6) X2 → False) → v1_funct_1 X6 → v1_funct_1 X5 → v1_funct_1 X4 → v1_funct_1 X3 → m1_subset_1 X9 (k2_zfmisc_1 X1 X2) → m1_subset_1 X8 (k2_zfmisc_1 X1 X2) → m1_subset_1 X7 (k2_zfmisc_1 X1 X2) → v1_funct_2 X6 (k2_zfmisc_1 X2 X2) X2 → v1_funct_2 X5 (k2_zfmisc_1 X2 X2) X2 → v1_funct_2 X4 (k2_zfmisc_1 X1 X1) X1 → v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1 → m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2)) → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2)) → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → False) → (∀X1 X9 X7 X8 X3 X6 X5 X4 X2, ((k1_binop_1 (k6_filter_1 X1 X2 X4 X6) (k1_binop_1 (k6_filter_1 X1 X2 X3 X5) X7 X8) (k1_binop_1 (k6_filter_1 X1 X2 X3 X5) X7 X9)) = (k1_binop_1 (k6_filter_1 X1 X2 X3 X5) X7 (k1_binop_1 (k6_filter_1 X1 X2 X4 X6) X8 X9)) → False) → (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m1_subset_1 (esk36_6 X1 X2 X3 X4 X5 X6) X2 → False) → v1_funct_1 X6 → v1_funct_1 X5 → v1_funct_1 X4 → v1_funct_1 X3 → m1_subset_1 X9 (k2_zfmisc_1 X1 X2) → m1_subset_1 X8 (k2_zfmisc_1 X1 X2) → m1_subset_1 X7 (k2_zfmisc_1 X1 X2) → v1_funct_2 X6 (k2_zfmisc_1 X2 X2) X2 → v1_funct_2 X5 (k2_zfmisc_1 X2 X2) X2 → v1_funct_2 X4 (k2_zfmisc_1 X1 X1) X1 → v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1 → m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2)) → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2)) → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → False) → (∀X1 X9 X7 X8 X3 X6 X5 X4 X2, ((k1_binop_1 (k6_filter_1 X1 X2 X4 X6) (k1_binop_1 (k6_filter_1 X1 X2 X3 X5) X7 X8) (k1_binop_1 (k6_filter_1 X1 X2 X3 X5) X7 X9)) = (k1_binop_1 (k6_filter_1 X1 X2 X3 X5) X7 (k1_binop_1 (k6_filter_1 X1 X2 X4 X6) X8 X9)) → False) → (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m1_subset_1 (esk35_6 X1 X2 X3 X4 X5 X6) X2 → False) → v1_funct_1 X6 → v1_funct_1 X5 → v1_funct_1 X4 → v1_funct_1 X3 → m1_subset_1 X9 (k2_zfmisc_1 X1 X2) → m1_subset_1 X8 (k2_zfmisc_1 X1 X2) → m1_subset_1 X7 (k2_zfmisc_1 X1 X2) → v1_funct_2 X6 (k2_zfmisc_1 X2 X2) X2 → v1_funct_2 X5 (k2_zfmisc_1 X2 X2) X2 → v1_funct_2 X4 (k2_zfmisc_1 X1 X1) X1 → v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1 → m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2)) → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2)) → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → False) → (∀X1 X9 X7 X8 X3 X6 X5 X4 X2, ((k1_binop_1 (k6_filter_1 X1 X2 X4 X6) (k1_binop_1 (k6_filter_1 X1 X2 X3 X5) X7 X8) (k1_binop_1 (k6_filter_1 X1 X2 X3 X5) X7 X9)) = (k1_binop_1 (k6_filter_1 X1 X2 X3 X5) X7 (k1_binop_1 (k6_filter_1 X1 X2 X4 X6) X8 X9)) → False) → (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m1_subset_1 (esk34_6 X1 X2 X3 X4 X5 X6) X1 → False) → v1_funct_1 X6 → v1_funct_1 X5 → v1_funct_1 X4 → v1_funct_1 X3 → m1_subset_1 X9 (k2_zfmisc_1 X1 X2) → m1_subset_1 X8 (k2_zfmisc_1 X1 X2) → m1_subset_1 X7 (k2_zfmisc_1 X1 X2) → v1_funct_2 X6 (k2_zfmisc_1 X2 X2) X2 → v1_funct_2 X5 (k2_zfmisc_1 X2 X2) X2 → v1_funct_2 X4 (k2_zfmisc_1 X1 X1) X1 → v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1 → m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2)) → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2)) → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → False) → (∀X1 X9 X7 X8 X3 X6 X5 X4 X2, ((k1_binop_1 (k6_filter_1 X1 X2 X4 X6) (k1_binop_1 (k6_filter_1 X1 X2 X3 X5) X7 X8) (k1_binop_1 (k6_filter_1 X1 X2 X3 X5) X7 X9)) = (k1_binop_1 (k6_filter_1 X1 X2 X3 X5) X7 (k1_binop_1 (k6_filter_1 X1 X2 X4 X6) X8 X9)) → False) → (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m1_subset_1 (esk33_6 X1 X2 X3 X4 X5 X6) X1 → False) → v1_funct_1 X6 → v1_funct_1 X5 → v1_funct_1 X4 → v1_funct_1 X3 → m1_subset_1 X9 (k2_zfmisc_1 X1 X2) → m1_subset_1 X8 (k2_zfmisc_1 X1 X2) → m1_subset_1 X7 (k2_zfmisc_1 X1 X2) → v1_funct_2 X6 (k2_zfmisc_1 X2 X2) X2 → v1_funct_2 X5 (k2_zfmisc_1 X2 X2) X2 → v1_funct_2 X4 (k2_zfmisc_1 X1 X1) X1 → v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1 → m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2)) → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2)) → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → False) → (∀X1 X9 X7 X8 X3 X6 X5 X4 X2, ((k1_binop_1 (k6_filter_1 X1 X2 X4 X6) (k1_binop_1 (k6_filter_1 X1 X2 X3 X5) X7 X8) (k1_binop_1 (k6_filter_1 X1 X2 X3 X5) X7 X9)) = (k1_binop_1 (k6_filter_1 X1 X2 X3 X5) X7 (k1_binop_1 (k6_filter_1 X1 X2 X4 X6) X8 X9)) → False) → (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m1_subset_1 (esk32_6 X1 X2 X3 X4 X5 X6) X1 → False) → v1_funct_1 X6 → v1_funct_1 X5 → v1_funct_1 X4 → v1_funct_1 X3 → m1_subset_1 X9 (k2_zfmisc_1 X1 X2) → m1_subset_1 X8 (k2_zfmisc_1 X1 X2) → m1_subset_1 X7 (k2_zfmisc_1 X1 X2) → v1_funct_2 X6 (k2_zfmisc_1 X2 X2) X2 → v1_funct_2 X5 (k2_zfmisc_1 X2 X2) X2 → v1_funct_2 X4 (k2_zfmisc_1 X1 X1) X1 → v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1 → m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2)) → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2)) → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → False) → (∀X3 X2 X1, (v1_xboole_0 X1 → False) → (r4_binop_1 X1 X2 X3 → False) → (k3_binop_1 X1 X3 (k3_binop_1 X1 X2 (esk7_3 X1 X2 X3) (esk8_3 X1 X2 X3)) (k3_binop_1 X1 X2 (esk7_3 X1 X2 X3) (esk9_3 X1 X2 X3))) = (k3_binop_1 X1 X2 (esk7_3 X1 X2 X3) (k3_binop_1 X1 X3 (esk8_3 X1 X2 X3) (esk9_3 X1 X2 X3))) → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1 → v1_funct_2 X2 (k2_zfmisc_1 X1 X1) X1 → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → False) → (∀X1 X7 X5 X3 X4 X6 X8 X2, ((k5_binop_1 (k2_zfmisc_1 X1 X2) (k6_filter_1 X1 X2 X7 X8) (k1_domain_1 X1 X2 X3 X5) (k1_domain_1 X1 X2 X4 X6)) = (k1_domain_1 X1 X2 (k5_binop_1 X1 X7 X3 X4) (k5_binop_1 X2 X8 X5 X6)) → False) → (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → v1_funct_1 X8 → v1_funct_1 X7 → m1_subset_1 X6 X2 → m1_subset_1 X5 X2 → m1_subset_1 X4 X1 → m1_subset_1 X3 X1 → v1_funct_2 X8 (k2_zfmisc_1 X2 X2) X2 → v1_funct_2 X7 (k2_zfmisc_1 X1 X1) X1 → m1_subset_1 X8 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2)) → m1_subset_1 X7 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → False) → (∀X3 X6 X4 X5 X2 X1, ((k3_binop_1 X1 X3 (k3_binop_1 X1 X2 X4 X5) (k3_binop_1 X1 X2 X4 X6)) = (k3_binop_1 X1 X2 X4 (k3_binop_1 X1 X3 X5 X6)) → False) → (v1_xboole_0 X1 → False) → v1_funct_1 X3 → v1_funct_1 X2 → m1_subset_1 X6 X1 → m1_subset_1 X5 X1 → m1_subset_1 X4 X1 → r4_binop_1 X1 X2 X3 → v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1 → v1_funct_2 X2 (k2_zfmisc_1 X1 X1) X1 → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → False) → (∀X3 X1 X2 X4, (m1_subset_1 (k6_filter_1 X1 X2 X3 X4) (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X2) (k2_zfmisc_1 X1 X2)) (k2_zfmisc_1 X1 X2))) → False) → v1_funct_1 X4 → v1_funct_1 X3 → v1_funct_2 X4 (k2_zfmisc_1 X2 X2) X2 → v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1 → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → False) → (r4_binop_1 esk1_0 esk3_0 esk4_0 → r4_binop_1 esk2_0 esk5_0 esk6_0 → r4_binop_1 (k2_zfmisc_1 esk1_0 esk2_0) (k6_filter_1 esk1_0 esk2_0 esk3_0 esk5_0) (k6_filter_1 esk1_0 esk2_0 esk4_0 esk6_0) → False) → (∀X3 X1 X2 X4, (v1_funct_2 (k6_filter_1 X1 X2 X3 X4) (k2_zfmisc_1 (k2_zfmisc_1 X1 X2) (k2_zfmisc_1 X1 X2)) (k2_zfmisc_1 X1 X2) → False) → v1_funct_1 X4 → v1_funct_1 X3 → v1_funct_2 X4 (k2_zfmisc_1 X2 X2) X2 → v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1 → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → False) → (∀X3 X1 X2 X4, (v1_funct_1 (k6_filter_1 X1 X2 X3 X4) → False) → v1_funct_1 X4 → v1_funct_1 X3 → v1_funct_2 X4 (k2_zfmisc_1 X2 X2) X2 → v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1 → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → False) → ((r4_binop_1 esk2_0 esk5_0 esk6_0 → False) → (r4_binop_1 (k2_zfmisc_1 esk1_0 esk2_0) (k6_filter_1 esk1_0 esk2_0 esk3_0 esk5_0) (k6_filter_1 esk1_0 esk2_0 esk4_0 esk6_0) → False) → False) → ((r4_binop_1 esk1_0 esk3_0 esk4_0 → False) → (r4_binop_1 (k2_zfmisc_1 esk1_0 esk2_0) (k6_filter_1 esk1_0 esk2_0 esk3_0 esk5_0) (k6_filter_1 esk1_0 esk2_0 esk4_0 esk6_0) → False) → False) → (∀X1 X2 X4 X3, ((k6_filter_1 X2 X4 X1 X3) = (k3_funct_4 X1 X3) → False) → v1_funct_1 X3 → v1_funct_1 X1 → v1_funct_2 X3 (k2_zfmisc_1 X4 X4) X4 → v1_funct_2 X1 (k2_zfmisc_1 X2 X2) X2 → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X4 X4) X4)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2)) → False) → (∀X3 X2 X1, (v1_xboole_0 X1 → False) → (r4_binop_1 X1 X2 X3 → False) → (m1_subset_1 (esk9_3 X1 X2 X3) X1 → False) → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1 → v1_funct_2 X2 (k2_zfmisc_1 X1 X1) X1 → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → False) → (∀X3 X2 X1, (v1_xboole_0 X1 → False) → (r4_binop_1 X1 X2 X3 → False) → (m1_subset_1 (esk8_3 X1 X2 X3) X1 → False) → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1 → v1_funct_2 X2 (k2_zfmisc_1 X1 X1) X1 → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → False) → (∀X3 X2 X1, (v1_xboole_0 X1 → False) → (r4_binop_1 X1 X2 X3 → False) → (m1_subset_1 (esk7_3 X1 X2 X3) X1 → False) → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1 → v1_funct_2 X2 (k2_zfmisc_1 X1 X1) X1 → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → False) → (∀X2 X4 X3 X1, (m1_subset_1 (k5_binop_1 X2 X1 X3 X4) X2 → False) → v1_funct_1 X1 → m1_subset_1 X4 X2 → m1_subset_1 X3 X2 → v1_funct_2 X1 (k2_zfmisc_1 X2 X2) X2 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2)) → False) → (∀X2 X4 X3 X1, (m1_subset_1 (k3_binop_1 X2 X1 X3 X4) X2 → False) → v1_funct_1 X1 → m1_subset_1 X4 X2 → m1_subset_1 X3 X2 → v1_funct_2 X1 (k2_zfmisc_1 X2 X2) X2 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2)) → False) → (∀X2 X4 X3 X1, ((k5_binop_1 X2 X1 X3 X4) = (k1_binop_1 X1 X3 X4) → False) → v1_funct_1 X1 → m1_subset_1 X4 X2 → m1_subset_1 X3 X2 → v1_funct_2 X1 (k2_zfmisc_1 X2 X2) X2 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2)) → False) → (∀X2 X4 X3 X1, ((k3_binop_1 X2 X1 X3 X4) = (k1_binop_1 X1 X3 X4) → False) → v1_funct_1 X1 → m1_subset_1 X4 X2 → m1_subset_1 X3 X2 → v1_funct_2 X1 (k2_zfmisc_1 X2 X2) X2 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2)) → False) → (∀X1 X4 X3 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m1_subset_1 (k1_domain_1 X1 X2 X3 X4) (k2_zfmisc_1 X1 X2) → False) → m1_subset_1 X4 X2 → m1_subset_1 X3 X1 → False) → (∀X1 X4 X3 X2, ((k1_domain_1 X1 X2 X3 X4) = (k2_tarski (k2_tarski X3 X4) (k1_tarski X3)) → False) → (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → m1_subset_1 X4 X2 → m1_subset_1 X3 X1 → False) → (∀X2 X1 X3, (v1_xboole_0 X3 → False) → (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → v1_funct_1 X1 → v1_funct_2 X1 X2 X3 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X3 X2 X1, (v1_partfun1 X2 X1 → False) → v1_xboole_0 X1 → v1_funct_2 X2 X1 X3 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → False) → (∀X3 X2 X1, (v1_xboole_0 X1 → False) → (v1_partfun1 X2 X3 → False) → v1_funct_2 X2 X3 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X2 X1, (v1_partfun1 X1 X2 → False) → v1_funct_2 X1 X2 X2 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X2)) → False) → (∀X3 X1 X2, (v1_funct_2 X1 X2 X3 → False) → v1_partfun1 X1 X2 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X3 X2 X1, ((k1_funct_1 X1 (k2_tarski (k2_tarski X2 X3) (k1_tarski X2))) = (k1_binop_1 X1 X2 X3) → False) → v1_funct_1 X1 → v1_relat_1 X1 → False) → (∀X2 X3 X1, (v1_xboole_0 X1 → False) → v1_xboole_0 X2 → v1_partfun1 X3 X1 → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (k2_tarski (k2_tarski X1 X3) (k1_tarski X1)) = (k2_tarski (k2_tarski X2 X4) (k1_tarski X2)) → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (k2_tarski (k2_tarski X3 X1) (k1_tarski X3)) = (k2_tarski (k2_tarski X4 X2) (k1_tarski X4)) → False) → (∀X3 X2 X1, (v1_partfun1 X2 X1 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → 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 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m1_subset_1 (esk21_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → False) → (∀X1 X3 X2, (v5_relat_1 X3 X2 → False) → v1_relat_1 X1 → v5_relat_1 X1 X2 → m1_subset_1 X3 (k1_zfmisc_1 X1) → False) → (∀X1 X3 X2, (v4_relat_1 X3 X2 → False) → v1_relat_1 X1 → v4_relat_1 X1 X2 → m1_subset_1 X3 (k1_zfmisc_1 X1) → 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) → (∀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) → (∀X1 X2, (v4_funct_1 (k2_tarski X1 X2) → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → False) → (∀X1 X2, (v1_relat_1 (k3_funct_4 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_funct_4 X1 X2) → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_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_subset_1 X2 X1 → False) → v1_xboole_0 X2 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → v1_xboole_0 (esk21_2 X1 X2) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → v1_xboole_0 (k2_zfmisc_1 X1 X2) → False) → (∀X2 X1, (v1_xboole_0 (k1_funct_1 X1 X2) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v3_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) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v5_relat_1 (esk21_2 X1 X2) X2 → False) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v4_relat_1 (esk21_2 X1 X2) X1 → False) → 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) → (∀X1 X2, (v1_zfmisc_1 X2 → False) → v1_zfmisc_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_relat_1 X2 → False) → v1_relat_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, (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, (v1_xboole_0 X1 → False) → v1_xboole_0 X2 → v1_relat_1 X1 → v5_relat_1 X1 X2 → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → v1_xboole_0 X2 → v1_relat_1 X1 → v4_relat_1 X1 X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v1_relat_1 (esk21_2 X1 X2) → False) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v1_funct_1 (esk21_2 X1 X2) → False) → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → 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 X1 → False) → (m1_subset_1 (esk29_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk27_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk25_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk16_1 X1) (k1_zfmisc_1 X1) → False) → 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, (v1_xboole_0 X1 → False) → (v1_subset_1 (esk25_1 X1) X1 → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (o_1_0_filter_1 X1) X1 → False) → False) → (∀X1, (v4_funct_1 (k1_tarski X1) → False) → v1_funct_1 X1 → v1_relat_1 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_zfmisc_1 (esk29_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk27_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk16_1 X1) → False) → (∀X1, (v2_relat_1 X1 → False) → v1_xboole_0 X1 → v1_relat_1 X1 → False) → (∀X1, (v3_relat_1 X1 → False) → v1_xboole_0 X1 → v1_relat_1 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_zfmisc_1 (esk27_1 X1) → False) → False) → (∀X1, (v4_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_relat_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) → (∀X1, v1_subset_1 (esk23_1 X1) X1 → False) → (∀X1, v1_xboole_0 (k1_zfmisc_1 X1) → False) → (v3_funct_1 esk26_0 → False) → (v1_xboole_0 esk30_0 → False) → (v1_xboole_0 esk24_0 → False) → (v1_xboole_0 esk14_0 → False) → (v1_xboole_0 esk2_0 → False) → (v1_xboole_0 esk1_0 → False) → (∀X1 X2 X3 X4, (v1_relat_1 (k2_tarski (k2_tarski (k2_tarski X1 X2) (k1_tarski X1)) (k2_tarski (k2_tarski X3 X4) (k1_tarski X3))) → False) → False) → (∀X1 X2, (v1_relat_1 (k1_tarski (k2_tarski (k2_tarski X1 X2) (k1_tarski X1))) → False) → False) → (∀X1 X2, (v1_funct_1 (k1_tarski (k2_tarski (k2_tarski X1 X2) (k1_tarski X1))) → False) → False) → ((m1_subset_1 esk6_0 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 esk2_0 esk2_0) esk2_0)) → False) → False) → ((m1_subset_1 esk5_0 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 esk2_0 esk2_0) esk2_0)) → False) → False) → ((m1_subset_1 esk4_0 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 esk1_0 esk1_0) esk1_0)) → False) → False) → ((m1_subset_1 esk3_0 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 esk1_0 esk1_0) esk1_0)) → False) → False) → (∀X2 X1, (m1_subset_1 (esk15_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → False) → (∀X2 X1, (m1_subset_1 (esk13_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → False) → (∀X2 X1, (m1_subset_1 (esk12_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → False) → (∀X2 X1, (v1_funct_2 (esk12_2 X1 X2) X1 X2 → False) → False) → ((v1_funct_2 esk6_0 (k2_zfmisc_1 esk2_0 esk2_0) esk2_0 → False) → False) → ((v1_funct_2 esk5_0 (k2_zfmisc_1 esk2_0 esk2_0) esk2_0 → False) → False) → ((v1_funct_2 esk4_0 (k2_zfmisc_1 esk1_0 esk1_0) esk1_0 → False) → False) → ((v1_funct_2 esk3_0 (k2_zfmisc_1 esk1_0 esk1_0) esk1_0 → False) → False) → (∀X2 X1, (v5_relat_1 (esk28_2 X1 X2) X2 → False) → False) → (∀X2 X1, (v5_relat_1 (esk22_2 X1 X2) X2 → False) → False) → (∀X2 X1, (v5_relat_1 (esk15_2 X1 X2) X2 → False) → False) → (∀X2 X1, (v5_relat_1 (esk13_2 X1 X2) X2 → False) → False) → (∀X2 X1, (v5_relat_1 (esk12_2 X1 X2) X2 → False) → False) → (∀X1 X2, (v4_relat_1 (esk28_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v4_relat_1 (esk22_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v4_relat_1 (esk15_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v4_relat_1 (esk13_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v4_relat_1 (esk12_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v1_relat_1 (esk28_2 X1 X2) → False) → False) → (∀X1 X2, (v1_relat_1 (esk22_2 X1 X2) → False) → False) → (∀X1 X2, (v1_relat_1 (esk15_2 X1 X2) → False) → False) → (∀X1 X2, (v1_relat_1 (esk13_2 X1 X2) → False) → False) → (∀X1 X2, (v1_relat_1 (esk12_2 X1 X2) → False) → False) → (∀X1 X2, (v1_relat_1 (k2_zfmisc_1 X1 X2) → False) → False) → (∀X1 X2, (v1_funct_1 (esk28_2 X1 X2) → False) → False) → (∀X1 X2, (v1_funct_1 (esk13_2 X1 X2) → False) → False) → (∀X1 X2, (v1_funct_1 (esk12_2 X1 X2) → False) → False) → (∀X1 X2, (v1_xboole_0 (esk15_2 X1 X2) → False) → False) → (∀X2 X1, ((k2_tarski X1 X2) = (k2_tarski X2 X1) → False) → False) → (∀X1, (m1_subset_1 (esk23_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk19_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v4_relat_1 (esk31_1 X1) X1 → False) → False) → (∀X1, (m1_subset_1 (esk10_1 X1) X1 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → (∀X1, (v2_relat_1 (esk31_1 X1) → False) → False) → (∀X1, (v1_relat_1 (esk31_1 X1) → False) → False) → (∀X1, (v1_funct_1 (esk31_1 X1) → False) → False) → (∀X1, (v1_xboole_0 (esk19_1 X1) → False) → False) → ((v4_funct_1 esk30_0 → False) → False) → ((v2_relat_1 esk24_0 → False) → False) → ((v2_relat_1 esk20_0 → False) → False) → ((v2_relat_1 esk18_0 → False) → False) → ((v2_funct_1 esk17_0 → False) → False) → ((v1_relat_1 esk26_0 → False) → False) → ((v1_relat_1 esk24_0 → False) → False) → ((v1_relat_1 esk20_0 → False) → False) → ((v1_relat_1 esk18_0 → False) → False) → ((v1_relat_1 esk17_0 → False) → False) → ((v1_relat_1 esk14_0 → False) → False) → ((v1_relat_1 esk11_0 → False) → False) → ((v1_funct_1 esk26_0 → False) → False) → ((v1_funct_1 esk24_0 → False) → False) → ((v1_funct_1 esk20_0 → False) → False) → ((v1_funct_1 esk17_0 → False) → False) → ((v1_funct_1 esk11_0 → False) → False) → ((v1_funct_1 esk6_0 → False) → False) → ((v1_funct_1 esk5_0 → False) → False) → ((v1_funct_1 esk4_0 → False) → False) → ((v1_funct_1 esk3_0 → False) → False) → ((v1_xboole_0 o_0_0_xboole_0 → False) → False) → ((o_0_0_xboole_0 = k1_xboole_0 → False) → False) → False