Theorem. (
t74_group_11)
∀esk9_4 : set → set → set → set → set, ∀esk10_4 : set → set → set → set → set, ∀k6_algstr_0 : set → set → set → set, ∀a_3_0_group_2 : set → set → set → set, ∀u1_struct_0 : set → set, ∀k1_zfmisc_1 : set → set, ∀m1_subset_1 : set → set → prop, ∀esk22_4 : set → set → set → set → set, ∀esk24_2 : set → set → set, ∀v1_group_3 : set → set → prop, ∀v1_funct_1 : set → prop, ∀v1_funct_2 : set → set → set → prop, ∀k2_zfmisc_1 : set → set → set, ∀g3_algstr_0 : set → set → set, ∀k3_group_11 : set → set → set → set, ∀esk26_3 : set → set → set → set, ∀k4_group_2 : set → set → set → set, ∀k6_domain_1 : set → set → set, ∀esk25_2 : set → set → set, ∀esk4_2 : set → set → set, ∀v8_struct_0 : set → prop, ∀v7_struct_0 : set → prop, ∀esk17_1 : set → set, ∀esk16_1 : set → set, ∀esk18_1 : set → set, ∀esk13_1 : set → set, ∀v1_setwiseo : set → set → prop, ∀k1_tarski : set → set, ∀esk7_1 : set → set, ∀v13_struct_0 : set → set → prop, ∀np__1 : set, ∀k1_xboole_0 : set, ∀v1_zfmisc_1 : set → prop, ∀esk12_0 : set, ∀esk8_1 : set → set, ∀o_0_0_xboole_0 : set, ∀esk5_0 : set, ∀esk6_0 : set, ∀esk15_0 : set, ∀esk20_0 : set, ∀esk19_0 : set, ∀v1_finset_1 : set → prop, ∀v2_binop_1 : set → set → prop, ∀esk14_1 : set → set, ∀esk21_1 : set → set, ∀v1_finseqop : set → set → prop, ∀l1_struct_0 : set → prop, ∀v1_xboole_0 : set → prop, ∀esk3_0 : set, ∀esk2_0 : set, ∀esk1_0 : set, ∀v1_group_1 : set → prop, ∀k5_group_2 : set → set → set → set, ∀k2_group_2 : set → set → set → set, ∀u2_algstr_0 : set → set, ∀v15_algstr_0 : set → prop, ∀k2_group_1 : set → set → set, ∀r1_struct_0 : set → set → prop, ∀k14_group_2 : set → set → set → set, ∀esk23_4 : set → set → set → set → set, ∀r1_tarski : set → set → prop, ∀esk11_4 : set → set → set → set → set, ∀k13_group_2 : set → set → set → set, ∀k8_group_2 : set → set → set, ∀v3_group_1 : set → prop, ∀m1_group_2 : set → set → prop, ∀r2_hidden : set → set → prop, ∀a_3_2_group_11 : set → set → set → set, ∀l3_algstr_0 : set → prop, ∀v2_group_1 : set → prop, ∀v2_struct_0 : set → prop, (∀X2 X3 X4 X1, (v2_struct_0 X1 → False) → (r1_tarski (k13_group_2 X1 X2 (esk11_4 X3 X1 X4 X2)) (k8_group_2 X1 X4) → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → m1_group_2 X4 X1 → m1_group_2 X2 X1 → r2_hidden X3 (a_3_2_group_11 X1 X4 X2) → False) → (∀X3 X1 X4 X2, ((k6_algstr_0 X2 (esk9_4 X1 X2 X3 X4) (esk10_4 X1 X2 X3 X4)) = X1 → False) → (v2_struct_0 X2 → False) → l3_algstr_0 X2 → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → r2_hidden X1 (a_3_0_group_2 X2 X3 X4) → False) → (∀X3 X1 X4 X2, ((k6_algstr_0 X2 (esk23_4 X1 X2 X3 X4) X3) = X1 → False) → (v2_struct_0 X2 → False) → v2_group_1 X2 → v3_group_1 X2 → l3_algstr_0 X2 → m1_group_2 X4 X2 → m1_subset_1 X3 (u1_struct_0 X2) → r2_hidden X1 (k14_group_2 X2 X4 X3) → False) → (∀X3 X1 X4 X2, ((k6_algstr_0 X2 X3 (esk22_4 X1 X2 X3 X4)) = X1 → False) → (v2_struct_0 X2 → False) → v2_group_1 X2 → v3_group_1 X2 → l3_algstr_0 X2 → m1_group_2 X4 X2 → m1_subset_1 X3 (u1_struct_0 X2) → r2_hidden X1 (k13_group_2 X2 X4 X3) → False) → (∀X3 X1 X4 X2, (v2_struct_0 X2 → False) → (m1_subset_1 (esk10_4 X1 X2 X3 X4) (u1_struct_0 X2) → False) → l3_algstr_0 X2 → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → r2_hidden X1 (a_3_0_group_2 X2 X3 X4) → False) → (∀X3 X1 X4 X2, (v2_struct_0 X2 → False) → (m1_subset_1 (esk9_4 X1 X2 X3 X4) (u1_struct_0 X2) → False) → l3_algstr_0 X2 → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → r2_hidden X1 (a_3_0_group_2 X2 X3 X4) → False) → (∀X3 X1 X4 X2, (v2_struct_0 X2 → False) → (r2_hidden (esk10_4 X1 X2 X3 X4) X4 → False) → l3_algstr_0 X2 → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → r2_hidden X1 (a_3_0_group_2 X2 X3 X4) → False) → (∀X3 X1 X4 X2, (v2_struct_0 X2 → False) → (r2_hidden (esk9_4 X1 X2 X3 X4) X3 → False) → l3_algstr_0 X2 → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → r2_hidden X1 (a_3_0_group_2 X2 X3 X4) → False) → (∀X3 X1 X4 X2, (v2_struct_0 X2 → False) → (m1_subset_1 (esk23_4 X1 X2 X3 X4) (u1_struct_0 X2) → False) → v2_group_1 X2 → v3_group_1 X2 → l3_algstr_0 X2 → m1_group_2 X4 X2 → m1_subset_1 X3 (u1_struct_0 X2) → r2_hidden X1 (k14_group_2 X2 X4 X3) → False) → (∀X3 X1 X4 X2, (v2_struct_0 X2 → False) → (m1_subset_1 (esk22_4 X1 X2 X3 X4) (u1_struct_0 X2) → False) → v2_group_1 X2 → v3_group_1 X2 → l3_algstr_0 X2 → m1_group_2 X4 X2 → m1_subset_1 X3 (u1_struct_0 X2) → r2_hidden X1 (k13_group_2 X2 X4 X3) → False) → (∀X4 X2 X1 X3, (v2_struct_0 X3 → False) → (r1_struct_0 X1 (esk23_4 X2 X3 X4 X1) → False) → v2_group_1 X3 → v3_group_1 X3 → l3_algstr_0 X3 → m1_group_2 X1 X3 → m1_subset_1 X4 (u1_struct_0 X3) → r2_hidden X2 (k14_group_2 X3 X1 X4) → False) → (∀X4 X2 X1 X3, (v2_struct_0 X3 → False) → (r1_struct_0 X1 (esk22_4 X2 X3 X4 X1) → False) → v2_group_1 X3 → v3_group_1 X3 → l3_algstr_0 X3 → m1_group_2 X1 X3 → m1_subset_1 X4 (u1_struct_0 X3) → r2_hidden X2 (k13_group_2 X3 X1 X4) → False) → (∀X3 X1 X4 X2, (v2_struct_0 X2 → False) → (m1_subset_1 (esk11_4 X1 X2 X3 X4) (u1_struct_0 X2) → False) → v2_group_1 X2 → v3_group_1 X2 → l3_algstr_0 X2 → m1_group_2 X4 X2 → m1_group_2 X3 X2 → r2_hidden X1 (a_3_2_group_11 X2 X3 X4) → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (v1_group_3 X1 X2 → False) → v2_group_1 X2 → v3_group_1 X2 → l3_algstr_0 X2 → m1_group_2 X1 X2 → r1_tarski (k13_group_2 X2 X1 (esk24_2 X2 X1)) (k14_group_2 X2 X1 (esk24_2 X2 X1)) → False) → (∀X2 X3 X4 X1, (v2_struct_0 X1 → False) → (r1_struct_0 X4 (k6_algstr_0 X1 (k6_algstr_0 X1 X2 X3) (k2_group_1 X1 X2)) → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → v1_group_3 X4 X1 → m1_group_2 X4 X1 → r1_struct_0 X4 X3 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X3 X1 X4 X2, ((esk11_4 X1 X2 X3 X4) = X1 → False) → (v2_struct_0 X2 → False) → v2_group_1 X2 → v3_group_1 X2 → l3_algstr_0 X2 → m1_group_2 X4 X2 → m1_group_2 X3 X2 → r2_hidden X1 (a_3_2_group_11 X2 X3 X4) → False) → (∀X3 X5 X4 X1 X2, (v2_struct_0 X2 → False) → (r2_hidden X3 (a_3_2_group_11 X2 X5 X4) → False) → X1 = X3 → v2_group_1 X2 → v3_group_1 X2 → l3_algstr_0 X2 → m1_group_2 X5 X2 → m1_group_2 X4 X2 → m1_subset_1 X1 (u1_struct_0 X2) → r1_tarski (k13_group_2 X2 X4 X1) (k8_group_2 X2 X5) → 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) → (∀X2 X4 X3 X1, (v2_struct_0 X1 → False) → (r1_tarski (k13_group_2 X1 X2 X4) (k8_group_2 X1 X3) → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → m1_group_2 X3 X1 → m1_group_2 X2 X1 → m1_subset_1 X4 (u1_struct_0 X1) → r2_hidden X4 (k3_group_11 X1 X3 X2) → 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) → (∀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) → (∀X4 X5 X6 X3 X1 X2, (v2_struct_0 X2 → False) → (r2_hidden X4 (a_3_0_group_2 X2 X5 X6) → False) → X4 = (k6_algstr_0 X2 X1 X3) → l3_algstr_0 X2 → r2_hidden X3 X6 → r2_hidden X1 X5 → m1_subset_1 X3 (u1_struct_0 X2) → m1_subset_1 X1 (u1_struct_0 X2) → m1_subset_1 X6 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X2 X3 X4 X1, (v2_struct_0 X1 → False) → (r1_tarski (k14_group_2 X1 X2 X3) (k14_group_2 X1 X4 X3) → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → m1_group_2 X4 X1 → m1_group_2 X2 X4 → m1_group_2 X2 X1 → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X2 X3 X4 X1, (v2_struct_0 X1 → False) → (r1_tarski (k13_group_2 X1 X2 X3) (k13_group_2 X1 X4 X3) → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → m1_group_2 X4 X1 → m1_group_2 X2 X4 → m1_group_2 X2 X1 → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X3 X5 X4 X1 X2, (v2_struct_0 X2 → False) → (r2_hidden X3 (k14_group_2 X2 X5 X4) → False) → X3 = (k6_algstr_0 X2 X1 X4) → v2_group_1 X2 → v3_group_1 X2 → l3_algstr_0 X2 → m1_group_2 X5 X2 → r1_struct_0 X5 X1 → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X1 (u1_struct_0 X2) → False) → (∀X3 X5 X4 X1 X2, (v2_struct_0 X2 → False) → (r2_hidden X3 (k13_group_2 X2 X5 X4) → False) → X3 = (k6_algstr_0 X2 X4 X1) → v2_group_1 X2 → v3_group_1 X2 → l3_algstr_0 X2 → m1_group_2 X5 X2 → r1_struct_0 X5 X1 → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X1 (u1_struct_0 X2) → False) → (∀X3 X1 X2, (v2_struct_0 X2 → False) → (r1_tarski (k13_group_2 X2 X1 X3) (k14_group_2 X2 X1 X3) → False) → v2_group_1 X2 → v3_group_1 X2 → l3_algstr_0 X2 → v1_group_3 X1 X2 → m1_group_2 X1 X2 → m1_subset_1 X3 (u1_struct_0 X2) → 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) → (∀X3 X2 X1, ((k6_algstr_0 X1 (k6_algstr_0 X1 (k2_group_1 X1 X2) X2) X3) = 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) → (∀X3 X2 X1, ((k6_algstr_0 X1 (k6_algstr_0 X1 X2 (k2_group_1 X1 X2)) X3) = 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) → (∀X3 X2 X1, ((k6_algstr_0 X1 (k6_algstr_0 X1 X2 (k2_group_1 X1 X3)) X3) = X2 → 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) → (∀X3 X2 X1, ((k6_algstr_0 X1 X2 (k6_algstr_0 X1 (k2_group_1 X1 X2) X3)) = 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) → (∀X3 X2 X1, ((k6_algstr_0 X1 X2 (k6_algstr_0 X1 (k2_group_1 X1 X3) X3)) = X2 → 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) → (∀X3 X2 X1, ((k6_algstr_0 X1 X2 (k6_algstr_0 X1 X3 (k2_group_1 X1 X3))) = X2 → 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) → (∀X2 X3 X1, ((u1_struct_0 (esk26_3 X1 X2 X3)) = (k3_group_11 X1 X2 X3) → False) → (v2_struct_0 X1 → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → v1_group_3 X3 X1 → m1_group_2 X3 X2 → m1_group_2 X3 X1 → m1_group_2 X2 X1 → False) → (∀X3 X2 X1, ((k6_algstr_0 X1 (k6_algstr_0 X1 X2 X3) (k2_group_1 X1 X3)) = X2 → 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) → (∀X3 X2 X1, ((k6_algstr_0 X1 (k2_group_1 X1 X2) (k6_algstr_0 X1 X2 X3)) = 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) → (∀X3 X2 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (k2_group_2 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l3_algstr_0 X1 → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X3 X1, ((k2_group_2 X1 (k6_domain_1 (u1_struct_0 X1) X2) X3) = (k4_group_2 X1 X2 X3) → False) → (v2_struct_0 X1 → False) → l3_algstr_0 X1 → m1_subset_1 X2 (u1_struct_0 X1) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X3 X1, ((k2_group_2 X1 X3 (k6_domain_1 (u1_struct_0 X1) X2)) = (k5_group_2 X1 X2 X3) → False) → (v2_struct_0 X1 → False) → l3_algstr_0 X1 → m1_subset_1 X2 (u1_struct_0 X1) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X3 X1, (v2_struct_0 X1 → False) → (m1_group_2 (esk26_3 X1 X2 X3) X1 → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → v1_group_3 X3 X1 → m1_group_2 X3 X2 → m1_group_2 X3 X1 → m1_group_2 X2 X1 → False) → (∀X2 X3 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (k5_group_2 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l3_algstr_0 X1 → m1_subset_1 X2 (u1_struct_0 X1) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X3 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (k4_group_2 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l3_algstr_0 X1 → m1_subset_1 X2 (u1_struct_0 X1) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X3 X1, (v2_struct_0 X1 → False) → (v15_algstr_0 (esk26_3 X1 X2 X3) → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → v1_group_3 X3 X1 → m1_group_2 X3 X2 → m1_group_2 X3 X1 → m1_group_2 X2 X1 → False) → (∀X3 X2 X1, ((k2_group_2 X1 X2 X3) = (a_3_0_group_2 X1 X2 X3) → False) → (v2_struct_0 X1 → False) → l3_algstr_0 X1 → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X3 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (k14_group_2 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → m1_group_2 X2 X1 → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X2 X3 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (k13_group_2 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → m1_group_2 X2 X1 → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X2 X3 X1, ((k5_group_2 X1 X3 (k8_group_2 X1 X2)) = (k14_group_2 X1 X2 X3) → False) → (v2_struct_0 X1 → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → m1_group_2 X2 X1 → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X2 X3 X1, ((k4_group_2 X1 X3 (k8_group_2 X1 X2)) = (k13_group_2 X1 X2 X3) → False) → (v2_struct_0 X1 → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → m1_group_2 X2 X1 → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X3 X2 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (k3_group_11 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → m1_group_2 X3 X1 → m1_group_2 X2 X1 → False) → (∀X3 X2 X1, (v2_struct_0 X1 → False) → (r1_struct_0 X2 X3 → False) → (k13_group_2 X1 X2 X3) = (k8_group_2 X1 X2) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → m1_group_2 X2 X1 → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X3 X1 X2, (v2_struct_0 X2 → False) → (r2_hidden X1 (k14_group_2 X2 X3 X1) → False) → v2_group_1 X2 → v3_group_1 X2 → l3_algstr_0 X2 → m1_group_2 X3 X2 → m1_subset_1 X1 (u1_struct_0 X2) → False) → (∀X3 X1 X2, (v2_struct_0 X2 → False) → (r2_hidden X1 (k13_group_2 X2 X3 X1) → False) → v2_group_1 X2 → v3_group_1 X2 → l3_algstr_0 X2 → m1_group_2 X3 X2 → m1_subset_1 X1 (u1_struct_0 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 X2 X1, ((k3_group_11 X1 X2 X3) = (a_3_2_group_11 X1 X2 X3) → False) → (v2_struct_0 X1 → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → m1_group_2 X3 X1 → m1_group_2 X2 X1 → False) → (∀X2 X1 X3, ((k13_group_2 X3 X1 X2) = (k8_group_2 X3 X1) → False) → (v2_struct_0 X3 → False) → v2_group_1 X3 → v3_group_1 X3 → l3_algstr_0 X3 → m1_group_2 X1 X3 → r1_struct_0 X1 X2 → m1_subset_1 X2 (u1_struct_0 X3) → 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) → (∀X1, (u1_struct_0 X1) = (k3_group_11 esk1_0 esk2_0 esk3_0) → v15_algstr_0 X1 → v1_group_3 X1 esk1_0 → m1_group_2 X1 esk1_0 → 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) → (∀X1 X2, (v2_struct_0 X2 → False) → (v1_group_3 X1 X2 → False) → (m1_subset_1 (esk24_2 X2 X1) (u1_struct_0 X2) → False) → v2_group_1 X2 → v3_group_1 X2 → l3_algstr_0 X2 → m1_group_2 X1 X2 → False) → (∀X1 X3 X2, r2_hidden X3 X2 → r2_hidden X1 X2 → r2_hidden X1 (esk25_2 X3 X2) → False) → (∀X2 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (k8_group_2 X1 X2) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → m1_group_2 X2 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) → (∀X2 X1, (r1_tarski X1 X2 → False) → r2_hidden (esk4_2 X1 X2) X2 → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (k6_domain_1 X1 X2) (k1_zfmisc_1 X1) → False) → m1_subset_1 X2 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, ((k8_group_2 X1 X2) = (u1_struct_0 X2) → False) → (v2_struct_0 X1 → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → m1_group_2 X2 X1 → False) → (∀X2 X1, (r2_hidden (esk25_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) → (∀X2 X1, (v2_struct_0 X1 → False) → (v8_struct_0 X2 → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → v8_struct_0 X1 → m1_group_2 X2 X1 → False) → (∀X1 X3 X2, (r2_hidden X3 X2 → False) → r2_hidden X3 X1 → r1_tarski X1 X2 → False) → (∀X1 X2, (r1_tarski X1 X2 → False) → (r2_hidden (esk4_2 X1 X2) X1 → False) → False) → (∀X1 X2, (r1_struct_0 X2 X1 → False) → l1_struct_0 X2 → r2_hidden X1 (u1_struct_0 X2) → False) → (∀X2 X1, (v2_struct_0 X1 → False) → (v3_group_1 X2 → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → m1_group_2 X2 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) → (∀X1, (v7_struct_0 X1 → False) → (m1_subset_1 (esk17_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk21_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk16_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → False) → (∀X2 X1, (r2_hidden X2 (u1_struct_0 X1) → False) → l1_struct_0 X1 → r1_struct_0 X1 X2 → False) → (∀X1 X2, (v2_struct_0 X2 → False) → v2_struct_0 X1 → v2_group_1 X2 → l3_algstr_0 X2 → m1_group_2 X1 X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_group_2 (esk18_1 X1) X1 → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_group_2 (esk14_1 X1) X1 → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_group_2 (esk13_1 X1) X1 → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_group_3 (esk14_1 X1) X1 → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (l3_algstr_0 X1 → False) → v2_group_1 X2 → l3_algstr_0 X2 → m1_group_2 X1 X2 → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (v2_group_1 X1 → False) → v2_group_1 X2 → l3_algstr_0 X2 → m1_group_2 X1 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, ((k6_domain_1 X1 X2) = (k1_tarski X2) → False) → (v1_xboole_0 X1 → False) → m1_subset_1 X2 X1 → False) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden X1 X2 → False) → (∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → r1_tarski X1 X2 → False) → (∀X1, (v2_struct_0 X1 → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → v2_struct_0 (esk18_1 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → v2_struct_0 (esk14_1 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → v2_struct_0 (esk13_1 X1) → False) → (∀X1, ((g3_algstr_0 (u1_struct_0 X1) (u2_algstr_0 X1)) = X1 → False) → l3_algstr_0 X1 → v15_algstr_0 X1 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_group_2 (esk7_1 X1) X1 → False) → v2_group_1 X1 → 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 → False) → (v8_struct_0 (esk18_1 X1) → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_group_1 (esk18_1 X1) → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_group_1 (esk14_1 X1) → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_group_1 (esk13_1 X1) → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v15_algstr_0 (esk18_1 X1) → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v15_algstr_0 (esk14_1 X1) → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v15_algstr_0 (esk13_1 X1) → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v3_group_1 (esk18_1 X1) → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v3_group_1 (esk14_1 X1) → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v3_group_1 (esk13_1 X1) → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v2_group_1 (esk18_1 X1) → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v2_group_1 (esk14_1 X1) → False) → v2_group_1 X1 → v3_group_1 X1 → l3_algstr_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v2_group_1 (esk13_1 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) → (∀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 (esk17_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 (esk21_1 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (esk16_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, (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, (v2_struct_0 X1 → False) → (v1_zfmisc_1 (esk16_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, (l1_struct_0 X1 → False) → l3_algstr_0 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (∀X1, v1_xboole_0 (k1_tarski X1) → False) → (v1_xboole_0 esk19_0 → False) → (v1_xboole_0 np__1 → False) → (v2_struct_0 esk20_0 → False) → (v2_struct_0 esk12_0 → False) → (v2_struct_0 esk1_0 → False) → (∀X1, (m1_subset_1 (esk8_1 X1) X1 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → ((m1_group_2 esk3_0 esk2_0 → False) → False) → ((m1_group_2 esk3_0 esk1_0 → False) → False) → ((m1_group_2 esk2_0 esk1_0 → False) → False) → ((v1_group_3 esk3_0 esk1_0 → False) → False) → ((v1_group_3 esk2_0 esk1_0 → False) → False) → ((v1_xboole_0 esk15_0 → False) → False) → ((v1_xboole_0 o_0_0_xboole_0 → False) → False) → ((v1_xboole_0 k1_xboole_0 → False) → False) → ((v8_struct_0 esk20_0 → False) → False) → ((v1_group_1 esk20_0 → False) → False) → ((l1_struct_0 esk5_0 → False) → False) → ((v15_algstr_0 esk20_0 → False) → False) → ((v15_algstr_0 esk12_0 → False) → False) → ((l3_algstr_0 esk20_0 → False) → False) → ((l3_algstr_0 esk12_0 → False) → False) → ((l3_algstr_0 esk6_0 → False) → False) → ((l3_algstr_0 esk1_0 → False) → False) → ((v3_group_1 esk20_0 → False) → False) → ((