Theorem. (
t17_autgroup)
∀v2_struct_0 : set → prop, ∀k4_autgroup : set → set, ∀v15_algstr_0 : set → prop, ∀v3_group_1 : set → prop, ∀k9_funct_2 : set → set → set, ∀m2_funct_2 : set → set → set → set → prop, ∀m1_funct_2 : set → set → set → prop, ∀l3_algstr_0 : set → prop, ∀v2_group_1 : set → prop, ∀k3_funct_2 : set → set → set → set → set, ∀u1_struct_0 : set → set, ∀esk8_4 : set → set → set → set → set, ∀k2_group_3 : set → set → set → set, ∀r2_hidden : set → set → prop, ∀esk7_3 : set → set → set → set, ∀k5_binop_1 : set → set → set → set → set, ∀v1_funct_2 : set → set → set → prop, ∀k1_binop_1 : set → set → set → set, ∀esk5_1 : set → set, ∀esk6_1 : set → set, ∀esk4_1 : set → set, ∀k6_algstr_0 : set → set → set → set, ∀esk16_3 : set → set → set → set, ∀u2_algstr_0 : set → set, ∀k1_xboole_0 : set, ∀v1_relat_1 : set → prop, ∀v1_partfun1 : set → set → prop, ∀k1_tarski : set → set, ∀k2_tarski : set → set → set, ∀v1_group_1 : set → prop, ∀v5_relat_1 : set → set → prop, ∀v4_funct_1 : set → prop, ∀v2_funct_1 : set → prop, ∀v7_struct_0 : set → prop, ∀esk24_1 : set → set, ∀l1_struct_0 : set → prop, ∀esk23_1 : set → set, ∀v1_setwiseo : set → set → prop, ∀v1_zfmisc_1 : set → prop, ∀v3_funct_1 : set → prop, ∀esk31_0 : set, ∀esk20_0 : set, ∀esk21_2 : set → set → set, ∀esk14_2 : set → set → set, ∀esk30_2 : set → set → set, ∀esk17_0 : set, ∀esk22_0 : set, ∀esk13_0 : set, ∀esk12_0 : set, ∀esk25_0 : set, ∀esk15_1 : set → set, ∀esk18_2 : set → set → set, ∀esk19_0 : set, ∀esk27_0 : set, ∀esk26_0 : set, ∀esk29_0 : set, ∀esk2_0 : set, ∀esk3_0 : set, ∀esk1_0 : set, ∀v1_finset_1 : set → prop, ∀v8_struct_0 : set → prop, ∀np__1 : set, ∀v13_struct_0 : set → set → prop, ∀v2_binop_1 : set → set → prop, ∀r1_tarski : set → set → prop, ∀esk28_1 : set → set, ∀v1_finseqop : set → set → prop, ∀v4_relat_1 : set → set → prop, ∀k1_funct_2 : set → set → set, ∀k2_group_1 : set → set → set, ∀g3_algstr_0 : set → set → set, ∀k1_funct_1 : set → set → set, ∀esk11_2 : set → set → set, ∀v1_xboole_0 : set → prop, ∀esk9_2 : set → set → set, ∀esk10_3 : set → set → set → set, ∀k3_relat_1 : set → set → set, ∀k1_partfun1 : set → set → set → set → set → set → set, ∀m1_subset_1 : set → set → prop, ∀k1_zfmisc_1 : set → set, ∀k2_zfmisc_1 : set → set → set, ∀v1_funct_1 : set → prop, (∀X5 X3 X4 X1 X2 X6, (m1_subset_1 (k1_partfun1 X1 X2 X3 X4 X5 X6) (k1_zfmisc_1 (k2_zfmisc_1 X1 X4)) → False) → v1_funct_1 X6 → v1_funct_1 X5 → m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4)) → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → (∀X5 X3 X4 X1 X2 X6, (v1_funct_1 (k1_partfun1 X1 X2 X3 X4 X5 X6) → False) → v1_funct_1 X6 → v1_funct_1 X5 → m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4)) → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → (∀X1 X5 X6 X2 X3 X4, ((k1_partfun1 X2 X3 X5 X6 X1 X4) = (k3_relat_1 X1 X4) → False) → v1_funct_1 X4 → v1_funct_1 X1 → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X5 X6)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X3 X2 X4 X1, (v2_struct_0 X1 → False) → (r2_hidden X2 X3 → False) → X3 = (k4_autgroup X1) → (k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X2 (esk8_4 X1 X3 X2 X4)) = (k2_group_3 X1 (esk8_4 X1 X3 X2 X4) X4) → v15_algstr_0 X1 → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → m1_subset_1 X4 (u1_struct_0 X1) → m1_funct_2 X3 (u1_struct_0 X1) (u1_struct_0 X1) → m2_funct_2 X2 (u1_struct_0 X1) (u1_struct_0 X1) (k9_funct_2 (u1_struct_0 X1) (u1_struct_0 X1)) → False) → (∀X2 X3 X4 X1, (v2_struct_0 X1 → False) → (r2_hidden X3 X2 → False) → (m1_subset_1 (esk8_4 X1 X2 X3 X4) (u1_struct_0 X1) → False) → X2 = (k4_autgroup X1) → v15_algstr_0 X1 → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → m1_subset_1 X4 (u1_struct_0 X1) → m1_funct_2 X2 (u1_struct_0 X1) (u1_struct_0 X1) → m2_funct_2 X3 (u1_struct_0 X1) (u1_struct_0 X1) (k9_funct_2 (u1_struct_0 X1) (u1_struct_0 X1)) → False) → (∀X4 X1 X3 X2, ((k3_funct_2 (u1_struct_0 X2) (u1_struct_0 X2) X3 X1) = (k2_group_3 X2 X1 (esk7_3 X2 X4 X3)) → False) → (v2_struct_0 X2 → False) → X4 = (k4_autgroup X2) → v15_algstr_0 X2 → v2_group_1 X2 → v3_group_1 X2 → l3_algstr_0 X2 → r2_hidden X3 X4 → m1_subset_1 X1 (u1_struct_0 X2) → m1_funct_2 X4 (u1_struct_0 X2) (u1_struct_0 X2) → m2_funct_2 X3 (u1_struct_0 X2) (u1_struct_0 X2) (k9_funct_2 (u1_struct_0 X2) (u1_struct_0 X2)) → False) → (∀X3 X2 X1, (X2 = (k4_autgroup X1) → False) → (v2_struct_0 X1 → False) → (k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) (esk9_2 X1 X2) (esk10_3 X1 X2 X3)) = (k2_group_3 X1 (esk10_3 X1 X2 X3) X3) → v15_algstr_0 X1 → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → m1_subset_1 X3 (u1_struct_0 X1) → r2_hidden (esk9_2 X1 X2) X2 → m1_funct_2 X2 (u1_struct_0 X1) (u1_struct_0 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 X3 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk7_3 X1 X2 X3) (u1_struct_0 X1) → False) → X2 = (k4_autgroup X1) → v15_algstr_0 X1 → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → r2_hidden X3 X2 → m1_funct_2 X2 (u1_struct_0 X1) (u1_struct_0 X1) → m2_funct_2 X3 (u1_struct_0 X1) (u1_struct_0 X1) (k9_funct_2 (u1_struct_0 X1) (u1_struct_0 X1)) → 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 X3 X4 X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (k3_funct_2 X1 X3 X2 X4) X3 → False) → v1_funct_1 X2 → m1_subset_1 X4 X1 → v1_funct_2 X2 X1 X3 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → False) → (∀X1, (v3_group_1 X1 → False) → (k6_algstr_0 X1 (k6_algstr_0 X1 (esk4_1 X1) (esk5_1 X1)) (esk6_1 X1)) = (k6_algstr_0 X1 (esk4_1 X1) (k6_algstr_0 X1 (esk5_1 X1) (esk6_1 X1))) → l3_algstr_0 X1 → False) → (∀X1 X3 X2, (X3 = (k4_autgroup X2) → False) → ((k3_funct_2 (u1_struct_0 X2) (u1_struct_0 X2) (esk9_2 X2 X3) X1) = (k2_group_3 X2 X1 (esk11_2 X2 X3)) → False) → (v2_struct_0 X2 → False) → (r2_hidden (esk9_2 X2 X3) X3 → False) → v15_algstr_0 X2 → v2_group_1 X2 → v3_group_1 X2 → l3_algstr_0 X2 → m1_subset_1 X1 (u1_struct_0 X2) → m1_funct_2 X3 (u1_struct_0 X2) (u1_struct_0 X2) → False) → (∀X1 X2 X4 X3, (v1_xboole_0 X3 → False) → (m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → m1_funct_2 X4 X2 X3 → m2_funct_2 X1 X2 X3 X4 → False) → (∀X1 X2 X4 X3, (v1_xboole_0 X3 → False) → (v1_funct_2 X1 X2 X3 → False) → m1_funct_2 X4 X2 X3 → m2_funct_2 X1 X2 X3 X4 → False) → (∀X4 X3 X1 X2 X5, (v1_xboole_0 X5 → False) → (v1_funct_2 (k3_relat_1 X1 X2) X3 X4 → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_funct_2 X2 X5 X4 → v1_funct_2 X1 X3 X5 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X5 X4)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X5)) → False) → (∀X2 X3 X4 X1, ((k3_funct_2 X1 X3 X2 X4) = (k1_funct_1 X2 X4) → False) → (v1_xboole_0 X1 → False) → v1_funct_1 X2 → m1_subset_1 X4 X1 → v1_funct_2 X2 X1 X3 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → False) → (∀X1 X4 X3 X2, (v1_funct_2 (k3_relat_1 X1 X2) X3 X4 → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_funct_2 X2 X3 X4 → v1_funct_2 X1 X3 X3 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X3)) → False) → (∀X1 X3 X4 X2, (v1_funct_2 (k3_relat_1 X1 X2) X3 X4 → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_funct_2 X2 X4 X4 → v1_funct_2 X1 X3 X4 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X4 X4)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4)) → False) → (∀X4 X1 X2 X3, (v1_xboole_0 X3 → False) → (m1_subset_1 X1 X4 → False) → m1_funct_2 X4 X2 X3 → m2_funct_2 X1 X2 X3 X4 → False) → (∀X1 X2 X4 X3, (v1_xboole_0 X3 → False) → (v1_funct_1 X1 → False) → m1_funct_2 X4 X2 X3 → m2_funct_2 X1 X2 X3 X4 → False) → (∀X2 X1, (X2 = (k4_autgroup X1) → False) → (v2_struct_0 X1 → False) → (m2_funct_2 (esk9_2 X1 X2) (u1_struct_0 X1) (u1_struct_0 X1) (k9_funct_2 (u1_struct_0 X1) (u1_struct_0 X1)) → False) → v15_algstr_0 X1 → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → m1_funct_2 X2 (u1_struct_0 X1) (u1_struct_0 X1) → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (g3_algstr_0 X1 X3) = (g3_algstr_0 X2 X4) → v1_funct_1 X3 → v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1 → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (g3_algstr_0 X3 X1) = (g3_algstr_0 X4 X2) → v1_funct_1 X1 → v1_funct_2 X1 (k2_zfmisc_1 X3 X3) X3 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X3 X3) X3)) → False) → (∀X1 X2 X4 X5 X3, (v1_xboole_0 X3 → False) → (v1_funct_1 (k3_relat_1 X1 X2) → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_funct_2 X2 X3 X5 → v1_funct_2 X1 X4 X3 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X5)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X4 X3)) → False) → (∀X3 X2 X1, (v1_xboole_0 X1 → False) → (m2_funct_2 (esk16_3 X3 X1 X2) X3 X1 X2 → False) → m1_funct_2 X2 X3 X1 → False) → (∀X3 X4 X2 X1, (v1_funct_1 (k3_relat_1 X1 X2) → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_funct_2 X2 X3 X3 → v1_funct_2 X1 X4 X3 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X3)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X4 X3)) → False) → (∀X3 X4 X2 X1, (v1_funct_1 (k3_relat_1 X1 X2) → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_funct_2 X2 X3 X4 → v1_funct_2 X1 X3 X3 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X3)) → False) → (∀X1 X2, (l3_algstr_0 (g3_algstr_0 X1 X2) → False) → v1_funct_1 X2 → v1_funct_2 X2 (k2_zfmisc_1 X1 X1) X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → False) → (∀X1 X2, (v15_algstr_0 (g3_algstr_0 X1 X2) → False) → v1_funct_1 X2 → v1_funct_2 X2 (k2_zfmisc_1 X1 X1) X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → False) → (∀X2 X3 X4 X1, ((k6_algstr_0 X1 (k6_algstr_0 X1 X2 X3) X4) = (k6_algstr_0 X1 X2 (k6_algstr_0 X1 X3 X4)) → False) → v3_group_1 X1 → l3_algstr_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) → False) → (∀X2 X3 X1, ((k5_binop_1 (u1_struct_0 X1) (u2_algstr_0 X1) X2 X3) = (k6_algstr_0 X1 X2 X3) → False) → l3_algstr_0 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X3 X2 X1, (X2 = (k4_autgroup X1) → False) → (v2_struct_0 X1 → False) → (m1_subset_1 (esk10_3 X1 X2 X3) (u1_struct_0 X1) → False) → v15_algstr_0 X1 → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → m1_subset_1 X3 (u1_struct_0 X1) → r2_hidden (esk9_2 X1 X2) X2 → m1_funct_2 X2 (u1_struct_0 X1) (u1_struct_0 X1) → False) → (∀X2 X1 X3 X4, (v1_xboole_0 X4 → False) → (m2_funct_2 X1 X3 X4 X2 → False) → m1_subset_1 X1 X2 → m1_funct_2 X2 X3 X4 → False) → (∀X3 X2 X1, ((k6_algstr_0 X1 (k6_algstr_0 X1 (k2_group_1 X1 X3) X2) X3) = (k2_group_3 X1 X2 X3) → False) → (v2_struct_0 X1 → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X1 X5 X4 X2 X3, (X3 = k1_xboole_0 → False) → ((k1_funct_1 (k3_relat_1 X1 X4) X5) = (k1_funct_1 X4 (k1_funct_1 X1 X5)) → False) → v1_funct_1 X4 → v1_funct_1 X1 → v1_relat_1 X4 → r2_hidden X5 X2 → v1_funct_2 X1 X2 X3 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X3 X2 X1, ((k6_algstr_0 X1 (k2_group_1 X1 X3) (k2_group_1 X1 X2)) = (k2_group_1 X1 (k6_algstr_0 X1 X2 X3)) → False) → (v2_struct_0 X1 → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X1, (m1_subset_1 (u2_algstr_0 X1) (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)) (u1_struct_0 X1))) → False) → l3_algstr_0 X1 → False) → (∀X2 X1, (r2_hidden X1 (k1_funct_2 X2 X2) → False) → v1_funct_1 X1 → v1_funct_2 X1 X2 X2 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X2)) → False) → (∀X2 X1, (X2 = (k4_autgroup X1) → False) → (v2_struct_0 X1 → False) → (r2_hidden (esk9_2 X1 X2) X2 → False) → (m1_subset_1 (esk11_2 X1 X2) (u1_struct_0 X1) → False) → v15_algstr_0 X1 → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → m1_funct_2 X2 (u1_struct_0 X1) (u1_struct_0 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) → (∀X3 X2 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (k2_group_3 X1 X2 X3) (u1_struct_0 X1) → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 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) → (∀X2 X3 X1, (m1_subset_1 (k6_algstr_0 X1 X2 X3) (u1_struct_0 X1) → False) → l3_algstr_0 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → 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) → (∀X1, (v2_struct_0 X1 → False) → (v1_funct_2 (u2_algstr_0 X1) (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)) (u1_struct_0 X1) → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_funct_2 (u2_algstr_0 X1) (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)) (u1_struct_0 X1) → False) → l3_algstr_0 X1 → v1_group_1 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_funct_2 (u2_algstr_0 X1) (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)) (u1_struct_0 X1) → False) → v3_group_1 X1 → l3_algstr_0 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) → (∀X1, (v1_funct_2 (u2_algstr_0 X1) (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)) (u1_struct_0 X1) → False) → l3_algstr_0 X1 → False) → (∀X3 X2 X1, (v1_relat_1 X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_funct_2 (k4_autgroup X1) (u1_struct_0 X1) (u1_struct_0 X1) → False) → v15_algstr_0 X1 → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → False) → (∀X2 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (k2_group_1 X1 X2) (u1_struct_0 X1) → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X1, ((k2_group_1 X1 (k2_group_1 X1 X2)) = X2 → False) → (v2_struct_0 X1 → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X3 X2 X1, v1_xboole_0 X1 → m1_funct_2 X1 X2 X3 → False) → (∀X3 X2 X1, (v4_funct_1 X1 → False) → m1_funct_2 X1 X2 X3 → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (m1_funct_2 (k9_funct_2 X2 X1) X2 X1 → False) → 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 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 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_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, (v2_struct_0 X1 → False) → (v1_finseqop (u2_algstr_0 X1) (u1_struct_0 X1) → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (k1_funct_2 X2 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, (v7_struct_0 X1 → False) → (m1_subset_1 (esk24_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk28_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk23_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, (v2_struct_0 X1 → False) → (v1_setwiseo (u2_algstr_0 X1) (u1_struct_0 X1) → False) → l3_algstr_0 X1 → v1_group_1 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v2_binop_1 (u2_algstr_0 X1) (u1_struct_0 X1) → False) → v3_group_1 X1 → l3_algstr_0 X1 → 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) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v1_xboole_0 (k1_funct_2 X1 X2) → False) → v1_xboole_0 X2 → False) → (∀X1, ((g3_algstr_0 (u1_struct_0 X1) (u2_algstr_0 X1)) = X1 → False) → v15_algstr_0 X1 → l3_algstr_0 X1 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X1, (v3_group_1 X1 → False) → (m1_subset_1 (esk6_1 X1) (u1_struct_0 X1) → False) → l3_algstr_0 X1 → False) → (∀X1, (v3_group_1 X1 → False) → (m1_subset_1 (esk5_1 X1) (u1_struct_0 X1) → False) → l3_algstr_0 X1 → False) → (∀X1, (v3_group_1 X1 → False) → (m1_subset_1 (esk4_1 X1) (u1_struct_0 X1) → False) → l3_algstr_0 X1 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_funct_1 (u2_algstr_0 X1) → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → False) → (∀X1, v2_struct_0 X1 → l1_struct_0 X1 → v13_struct_0 X1 np__1 → 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) → (∀X2 X1, ((k9_funct_2 X2 X1) = (k1_funct_2 X2 X1) → False) → (v1_xboole_0 X1 → False) → 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, (v2_struct_0 X1 → False) → (v1_funct_1 (u2_algstr_0 X1) → False) → l3_algstr_0 X1 → v1_group_1 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_funct_1 (u2_algstr_0 X1) → False) → v3_group_1 X1 → l3_algstr_0 X1 → 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 (esk24_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 (esk28_1 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (esk23_1 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, (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_finset_1 (u1_struct_0 X1) → False) → l1_struct_0 X1 → v8_struct_0 X1 → False) → (∀X1, (v4_funct_1 (k1_tarski X1) → False) → v1_funct_1 X1 → v1_relat_1 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 (esk23_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, (v1_group_1 X1 → False) → v2_group_1 X1 → l3_algstr_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) → (∀X1, (v1_funct_1 (u2_algstr_0 X1) → False) → l3_algstr_0 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, (l1_struct_0 X1 → False) → l3_algstr_0 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (m2_funct_2 (k1_partfun1 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) esk3_0 esk2_0) (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) (k4_autgroup esk1_0) → False) → (∀X1, v1_xboole_0 (k1_funct_2 X1 X1) → False) → (∀X1 X2, v1_xboole_0 (k2_tarski X1 X2) → False) → (∀X1, v1_xboole_0 (k1_tarski X1) → False) → (v3_funct_1 esk29_0 → False) → (v1_xboole_0 esk31_0 → False) → (v1_xboole_0 esk26_0 → False) → (v1_xboole_0 np__1 → False) → (v2_struct_0 esk27_0 → False) → (v2_struct_0 esk20_0 → False) → (v2_struct_0 esk19_0 → False) → (v2_struct_0 esk1_0 → False) → ((m2_funct_2 esk3_0 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) (k4_autgroup esk1_0) → False) → False) → ((m2_funct_2 esk2_0 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) (k4_autgroup esk1_0) → False) → False) → (∀X1 X2, (v1_funct_1 (k1_tarski (k2_tarski (k2_tarski X1 X2) (k1_tarski X1))) → False) → False) → (∀X2 X1, (m1_subset_1 (esk21_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → False) → (∀X2 X1, (m1_subset_1 (esk18_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → False) → (∀X2 X1, (m1_funct_2 (esk14_2 X1 X2) X1 X2 → False) → False) → (∀X2 X1, (v1_funct_2 (esk18_2 X1 X2) X1 X2 → False) → False) → (∀X2 X1, (v5_relat_1 (esk30_2 X1 X2) X2 → False) → False) → (∀X2 X1, (v5_relat_1 (esk21_2 X1 X2) X2 → False) → False) → (∀X2 X1, (v5_relat_1 (esk18_2 X1 X2) X2 → False) → False) → (∀X1 X2, (v4_relat_1 (esk30_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v4_relat_1 (esk21_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v4_relat_1 (esk18_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v4_funct_1 (k1_funct_2 X1 X2) → False) → False) → (∀X1 X2, (v1_relat_1 (esk30_2 X1 X2) → False) → False) → (∀X1 X2, (v1_relat_1 (