Theorem. (t17_autgroup)
∀v2_struct_0 : setprop, ∀k4_autgroup : setset, ∀v15_algstr_0 : setprop, ∀v3_group_1 : setprop, ∀k9_funct_2 : setsetset, ∀m2_funct_2 : setsetsetsetprop, ∀m1_funct_2 : setsetsetprop, ∀l3_algstr_0 : setprop, ∀v2_group_1 : setprop, ∀k3_funct_2 : setsetsetsetset, ∀u1_struct_0 : setset, ∀esk8_4 : setsetsetsetset, ∀k2_group_3 : setsetsetset, ∀r2_hidden : setsetprop, ∀esk7_3 : setsetsetset, ∀k5_binop_1 : setsetsetsetset, ∀v1_funct_2 : setsetsetprop, ∀k1_binop_1 : setsetsetset, ∀esk5_1 : setset, ∀esk6_1 : setset, ∀esk4_1 : setset, ∀k6_algstr_0 : setsetsetset, ∀esk16_3 : setsetsetset, ∀u2_algstr_0 : setset, ∀k1_xboole_0 : set, ∀v1_relat_1 : setprop, ∀v1_partfun1 : setsetprop, ∀k1_tarski : setset, ∀k2_tarski : setsetset, ∀v1_group_1 : setprop, ∀v5_relat_1 : setsetprop, ∀v4_funct_1 : setprop, ∀v2_funct_1 : setprop, ∀v7_struct_0 : setprop, ∀esk24_1 : setset, ∀l1_struct_0 : setprop, ∀esk23_1 : setset, ∀v1_setwiseo : setsetprop, ∀v1_zfmisc_1 : setprop, ∀v3_funct_1 : setprop, ∀esk31_0 : set, ∀esk20_0 : set, ∀esk21_2 : setsetset, ∀esk14_2 : setsetset, ∀esk30_2 : setsetset, ∀esk17_0 : set, ∀esk22_0 : set, ∀esk13_0 : set, ∀esk12_0 : set, ∀esk25_0 : set, ∀esk15_1 : setset, ∀esk18_2 : setsetset, ∀esk19_0 : set, ∀esk27_0 : set, ∀esk26_0 : set, ∀esk29_0 : set, ∀esk2_0 : set, ∀esk3_0 : set, ∀esk1_0 : set, ∀v1_finset_1 : setprop, ∀v8_struct_0 : setprop, ∀np__1 : set, ∀v13_struct_0 : setsetprop, ∀v2_binop_1 : setsetprop, ∀r1_tarski : setsetprop, ∀esk28_1 : setset, ∀v1_finseqop : setsetprop, ∀v4_relat_1 : setsetprop, ∀k1_funct_2 : setsetset, ∀k2_group_1 : setsetset, ∀g3_algstr_0 : setsetset, ∀k1_funct_1 : setsetset, ∀esk11_2 : setsetset, ∀v1_xboole_0 : setprop, ∀esk9_2 : setsetset, ∀esk10_3 : setsetsetset, ∀k3_relat_1 : setsetset, ∀k1_partfun1 : setsetsetsetsetsetset, ∀m1_subset_1 : setsetprop, ∀k1_zfmisc_1 : setset, ∀k2_zfmisc_1 : setsetset, ∀v1_funct_1 : setprop, (∀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 X6v1_funct_1 X5m1_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 X6v1_funct_1 X5m1_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 X4v1_funct_1 X1m1_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 X1False)(r2_hidden X2 X3False)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 X1v2_group_1 X1v3_group_1 X1l3_algstr_0 X1m1_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 X1False)(r2_hidden X3 X2False)(m1_subset_1 (esk8_4 X1 X2 X3 X4) (u1_struct_0 X1)False)X2 = (k4_autgroup X1)v15_algstr_0 X1v2_group_1 X1v3_group_1 X1l3_algstr_0 X1m1_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 X2False)X4 = (k4_autgroup X2)v15_algstr_0 X2v2_group_1 X2v3_group_1 X2l3_algstr_0 X2r2_hidden X3 X4m1_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 X1False)(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 X1v2_group_1 X1v3_group_1 X1l3_algstr_0 X1m1_subset_1 X3 (u1_struct_0 X1)r2_hidden (esk9_2 X1 X2) X2m1_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) X2False)v1_funct_1 X1m1_subset_1 X4 X2m1_subset_1 X3 X2v1_funct_2 X1 (k2_zfmisc_1 X2 X2) X2m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2))False)(∀X2 X3 X1, (v2_struct_0 X1False)(m1_subset_1 (esk7_3 X1 X2 X3) (u1_struct_0 X1)False)X2 = (k4_autgroup X1)v15_algstr_0 X1v2_group_1 X1v3_group_1 X1l3_algstr_0 X1r2_hidden X3 X2m1_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 X1m1_subset_1 X4 X2m1_subset_1 X3 X2v1_funct_2 X1 (k2_zfmisc_1 X2 X2) X2m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2))False)(∀X2 X3 X4 X1, (v1_xboole_0 X1False)(m1_subset_1 (k3_funct_2 X1 X3 X2 X4) X3False)v1_funct_1 X2m1_subset_1 X4 X1v1_funct_2 X2 X1 X3m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X1, (v3_group_1 X1False)(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 X1False)(∀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 X2False)(r2_hidden (esk9_2 X2 X3) X3False)v15_algstr_0 X2v2_group_1 X2v3_group_1 X2l3_algstr_0 X2m1_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 X3False)(m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)m1_funct_2 X4 X2 X3m2_funct_2 X1 X2 X3 X4False)(∀X1 X2 X4 X3, (v1_xboole_0 X3False)(v1_funct_2 X1 X2 X3False)m1_funct_2 X4 X2 X3m2_funct_2 X1 X2 X3 X4False)(∀X4 X3 X1 X2 X5, (v1_xboole_0 X5False)(v1_funct_2 (k3_relat_1 X1 X2) X3 X4False)v1_funct_1 X2v1_funct_1 X1v1_funct_2 X2 X5 X4v1_funct_2 X1 X3 X5m1_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 X1False)v1_funct_1 X2m1_subset_1 X4 X1v1_funct_2 X2 X1 X3m1_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 X4False)v1_funct_1 X2v1_funct_1 X1v1_funct_2 X2 X3 X4v1_funct_2 X1 X3 X3m1_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 X4False)v1_funct_1 X2v1_funct_1 X1v1_funct_2 X2 X4 X4v1_funct_2 X1 X3 X4m1_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 X3False)(m1_subset_1 X1 X4False)m1_funct_2 X4 X2 X3m2_funct_2 X1 X2 X3 X4False)(∀X1 X2 X4 X3, (v1_xboole_0 X3False)(v1_funct_1 X1False)m1_funct_2 X4 X2 X3m2_funct_2 X1 X2 X3 X4False)(∀X2 X1, (X2 = (k4_autgroup X1)False)(v2_struct_0 X1False)(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 X1v2_group_1 X1v3_group_1 X1l3_algstr_0 X1m1_funct_2 X2 (u1_struct_0 X1) (u1_struct_0 X1)False)(∀X3 X4 X1 X2, (X1 = X2False)(g3_algstr_0 X1 X3) = (g3_algstr_0 X2 X4)v1_funct_1 X3v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1))False)(∀X3 X4 X1 X2, (X1 = X2False)(g3_algstr_0 X3 X1) = (g3_algstr_0 X4 X2)v1_funct_1 X1v1_funct_2 X1 (k2_zfmisc_1 X3 X3) X3m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X3 X3) X3))False)(∀X1 X2 X4 X5 X3, (v1_xboole_0 X3False)(v1_funct_1 (k3_relat_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_funct_2 X2 X3 X5v1_funct_2 X1 X4 X3m1_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 X1False)(m2_funct_2 (esk16_3 X3 X1 X2) X3 X1 X2False)m1_funct_2 X2 X3 X1False)(∀X3 X4 X2 X1, (v1_funct_1 (k3_relat_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_funct_2 X2 X3 X3v1_funct_2 X1 X4 X3m1_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 X2v1_funct_1 X1v1_funct_2 X2 X3 X4v1_funct_2 X1 X3 X3m1_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 X2v1_funct_2 X2 (k2_zfmisc_1 X1 X1) X1m1_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 X2v1_funct_2 X2 (k2_zfmisc_1 X1 X1) X1m1_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 X1l3_algstr_0 X1m1_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 X1m1_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 X1False)(m1_subset_1 (esk10_3 X1 X2 X3) (u1_struct_0 X1)False)v15_algstr_0 X1v2_group_1 X1v3_group_1 X1l3_algstr_0 X1m1_subset_1 X3 (u1_struct_0 X1)r2_hidden (esk9_2 X1 X2) X2m1_funct_2 X2 (u1_struct_0 X1) (u1_struct_0 X1)False)(∀X2 X1 X3 X4, (v1_xboole_0 X4False)(m2_funct_2 X1 X3 X4 X2False)m1_subset_1 X1 X2m1_funct_2 X2 X3 X4False)(∀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 X1False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X1 X5 X4 X2 X3, (X3 = k1_xboole_0False)((k1_funct_1 (k3_relat_1 X1 X4) X5) = (k1_funct_1 X4 (k1_funct_1 X1 X5))False)v1_funct_1 X4v1_funct_1 X1v1_relat_1 X4r2_hidden X5 X2v1_funct_2 X1 X2 X3m1_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 X1False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1m1_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 X1False)(∀X2 X1, (r2_hidden X1 (k1_funct_2 X2 X2)False)v1_funct_1 X1v1_funct_2 X1 X2 X2m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X2))False)(∀X2 X1, (X2 = (k4_autgroup X1)False)(v2_struct_0 X1False)(r2_hidden (esk9_2 X1 X2) X2False)(m1_subset_1 (esk11_2 X1 X2) (u1_struct_0 X1)False)v15_algstr_0 X1v2_group_1 X1v3_group_1 X1l3_algstr_0 X1m1_funct_2 X2 (u1_struct_0 X1) (u1_struct_0 X1)False)(∀X2 X1 X3, (v1_xboole_0 X3False)(v1_xboole_0 X2False)v1_xboole_0 X1v1_funct_1 X1v1_funct_2 X1 X2 X3m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X3 X2 X1, (v1_partfun1 X2 X1False)v1_xboole_0 X1v1_funct_2 X2 X1 X3m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X3 X2 X1, (v1_xboole_0 X1False)(v1_partfun1 X2 X3False)v1_funct_2 X2 X3 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1))False)(∀X3 X2 X1, (v2_struct_0 X1False)(m1_subset_1 (k2_group_3 X1 X2 X3) (u1_struct_0 X1)False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X1, (v1_partfun1 X1 X2False)v1_funct_2 X1 X2 X2m1_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 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X3 X1 X2, (v1_funct_2 X1 X2 X3False)v1_partfun1 X1 X2m1_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 X1v1_relat_1 X1False)(∀X1, (v2_struct_0 X1False)(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 X1v3_group_1 X1l3_algstr_0 X1False)(∀X1, (v2_struct_0 X1False)(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 X1v1_group_1 X1False)(∀X1, (v2_struct_0 X1False)(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 X1l3_algstr_0 X1False)(∀X3 X1 X2, (v5_relat_1 X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X2))False)(∀X3 X1 X2, (v4_relat_1 X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X1 X3 X2, (v1_xboole_0 X2False)v1_xboole_0 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X1 X3 X2, (v1_xboole_0 X2False)v1_xboole_0 X1m1_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 X1False)(∀X3 X2 X1, (v1_relat_1 X1False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X1, (v2_struct_0 X1False)(m1_funct_2 (k4_autgroup X1) (u1_struct_0 X1) (u1_struct_0 X1)False)v15_algstr_0 X1v2_group_1 X1v3_group_1 X1l3_algstr_0 X1False)(∀X2 X1, (v2_struct_0 X1False)(m1_subset_1 (k2_group_1 X1 X2) (u1_struct_0 X1)False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X1, ((k2_group_1 X1 (k2_group_1 X1 X2)) = X2False)(v2_struct_0 X1False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1m1_subset_1 X2 (u1_struct_0 X1)False)(∀X3 X2 X1, v1_xboole_0 X1m1_funct_2 X1 X2 X3False)(∀X3 X2 X1, (v4_funct_1 X1False)m1_funct_2 X1 X2 X3False)(∀X2 X1, (v1_xboole_0 X1False)(m1_funct_2 (k9_funct_2 X2 X1) X2 X1False)False)(∀X2 X3 X1, (v1_relat_1 (k1_funct_1 X1 X2)False)v1_funct_1 X1v1_relat_1 X1v4_funct_1 X3v5_relat_1 X1 X3False)(∀X2 X3 X1, (v1_funct_1 (k1_funct_1 X1 X2)False)v1_funct_1 X1v1_relat_1 X1v4_funct_1 X3v5_relat_1 X1 X3False)(∀X1 X2, (v2_funct_1 (k3_relat_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v2_funct_1 X2v2_funct_1 X1False)(∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v2_funct_1 X2v2_funct_1 X1False)(∀X2 X1 X3, (m1_subset_1 X1 X3False)r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X2 X1 X3, v1_xboole_0 X3r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X1 X2, (v4_funct_1 (k2_tarski X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1False)(∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1False)(∀X1 X2, (v1_funct_1 (k3_relat_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1False)(∀X1, (v2_struct_0 X1False)(v1_finseqop (u2_algstr_0 X1) (u1_struct_0 X1)False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1False)(∀X2 X1, (v1_xboole_0 X1False)v1_xboole_0 (k1_funct_2 X2 X1)False)(∀X1 X2, (v1_funct_1 X2False)v1_funct_1 X1v1_relat_1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1, (v7_struct_0 X1False)(m1_subset_1 (esk24_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk28_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk23_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X2 X1, (r1_tarski X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X1, (v2_struct_0 X1False)(v1_setwiseo (u2_algstr_0 X1) (u1_struct_0 X1)False)l3_algstr_0 X1v1_group_1 X1False)(∀X1, (v2_struct_0 X1False)(v2_binop_1 (u2_algstr_0 X1) (u1_struct_0 X1)False)v3_group_1 X1l3_algstr_0 X1False)(∀X2 X1, r2_hidden X2 X1r2_hidden X1 X2False)(∀X1 X2, (v4_funct_1 X2False)v4_funct_1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2)False)r1_tarski X1 X2False)(∀X2 X1, (v1_xboole_0 X1False)(v1_xboole_0 (k1_funct_2 X1 X2)False)v1_xboole_0 X2False)(∀X1, ((g3_algstr_0 (u1_struct_0 X1) (u2_algstr_0 X1)) = X1False)v15_algstr_0 X1l3_algstr_0 X1False)(∀X1 X2, (v1_xboole_0 X2False)(r2_hidden X1 X2False)m1_subset_1 X1 X2False)(∀X1, (v3_group_1 X1False)(m1_subset_1 (esk6_1 X1) (u1_struct_0 X1)False)l3_algstr_0 X1False)(∀X1, (v3_group_1 X1False)(m1_subset_1 (esk5_1 X1) (u1_struct_0 X1)False)l3_algstr_0 X1False)(∀X1, (v3_group_1 X1False)(m1_subset_1 (esk4_1 X1) (u1_struct_0 X1)False)l3_algstr_0 X1False)(∀X2 X1, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀X1, (v2_struct_0 X1False)(v1_funct_1 (u2_algstr_0 X1)False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1False)(∀X1, v2_struct_0 X1l1_struct_0 X1v13_struct_0 X1 np__1False)(∀X2 X1, (v1_relat_1 X1False)v4_funct_1 X2m1_subset_1 X1 X2False)(∀X2 X1, (v1_funct_1 X1False)v4_funct_1 X2m1_subset_1 X1 X2False)(∀X2 X1, ((k9_funct_2 X2 X1) = (k1_funct_2 X2 X1)False)(v1_xboole_0 X1False)False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v13_struct_0 X1 np__1False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v13_struct_0 X1 k1_xboole_0False)(∀X1, (v2_struct_0 X1False)(v13_struct_0 X1 np__1False)l1_struct_0 X1v7_struct_0 X1False)(∀X1 X2, v1_xboole_0 X2r2_hidden X1 X2False)(∀X1, (v2_struct_0 X1False)(v1_funct_1 (u2_algstr_0 X1)False)l3_algstr_0 X1v1_group_1 X1False)(∀X1, (v2_struct_0 X1False)(v1_funct_1 (u2_algstr_0 X1)False)v3_group_1 X1l3_algstr_0 X1False)(∀X1, (v8_struct_0 X1False)l1_struct_0 X1v1_finset_1 (u1_struct_0 X1)False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v1_zfmisc_1 (esk24_1 X1)False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v1_zfmisc_1 (u1_struct_0 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (esk28_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (esk23_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (u1_struct_0 X1)False)(∀X1, (v13_struct_0 X1 k1_xboole_0False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v3_funct_1 X1False)v1_funct_1 X1v1_relat_1 X1v1_zfmisc_1 X1False)(∀X1, (v3_funct_1 X1False)v1_funct_1 X1v1_relat_1 X1v1_zfmisc_1 X1False)(∀X1, (v3_funct_1 X1False)v1_xboole_0 X1v1_funct_1 X1v1_relat_1 X1False)(∀X1, (v2_funct_1 X1False)v1_xboole_0 X1v1_funct_1 X1v1_relat_1 X1False)(∀X1, (v1_finset_1 (u1_struct_0 X1)False)l1_struct_0 X1v8_struct_0 X1False)(∀X1, (v4_funct_1 (k1_tarski X1)False)v1_funct_1 X1v1_relat_1 X1False)(∀X1, (v1_zfmisc_1 (u1_struct_0 X1)False)l1_struct_0 X1v7_struct_0 X1False)(∀X1, (v1_xboole_0 (u1_struct_0 X1)False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(v1_zfmisc_1 (esk23_1 X1)False)l1_struct_0 X1False)(∀X1, (v8_struct_0 X1False)l1_struct_0 X1v7_struct_0 X1False)(∀X1, (v8_struct_0 X1False)l1_struct_0 X1v7_struct_0 X1False)(∀X1, (v8_struct_0 X1False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v8_struct_0 X1False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v1_group_1 X1False)v2_group_1 X1l3_algstr_0 X1False)(∀X1, (v7_struct_0 X1False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v7_struct_0 X1False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v7_struct_0 X1False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v1_funct_1 (u2_algstr_0 X1)False)l3_algstr_0 X1False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)(∀X1, (v4_funct_1 X1False)v1_xboole_0 X1False)(∀X1, (v1_funct_1 X1False)v1_xboole_0 X1False)(∀X1, (l1_struct_0 X1False)l3_algstr_0 X1False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)(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_0False)(v1_xboole_0 esk31_0False)(v1_xboole_0 esk26_0False)(v1_xboole_0 np__1False)(v2_struct_0 esk27_0False)(v2_struct_0 esk20_0False)(v2_struct_0 esk19_0False)(v2_struct_0 esk1_0False)((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 X2False)False)(∀X2 X1, (v1_funct_2 (esk18_2 X1 X2) X1 X2False)False)(∀X2 X1, (v5_relat_1 (esk30_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk21_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk18_2 X1 X2) X2False)False)(∀X1 X2, (v4_relat_1 (esk30_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk21_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk18_2 X1 X2) X1False)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 (esk21_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk18_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2)False)False)(∀X1 X2, (v1_funct_1 (esk30_2 X1 X2)False)False)(∀X1 X2, (v1_funct_1 (esk18_2 X1 X2)False)False)(∀X1 X2, (v1_xboole_0 (esk21_2 X1 X2)False)False)(∀X2 X1, ((k2_tarski X1 X2) = (k2_tarski X2 X1)False)False)(∀X1, (m1_subset_1 (esk15_1 X1) X1False)False)(∀X1, (r1_tarski X1 X1False)False)((v4_funct_1 esk31_0False)False)((v8_struct_0 esk27_0False)False)((v2_funct_1 esk25_0False)False)((v1_relat_1 esk29_0False)False)((v1_relat_1 esk25_0False)False)((v1_relat_1 esk17_0False)False)((v1_group_1 esk27_0False)False)((v1_group_1 esk20_0False)False)((v1_funct_1 esk29_0False)False)((v1_funct_1 esk25_0False)False)((v1_funct_1 esk17_0False)False)((v1_xboole_0 esk22_0False)False)((v1_xboole_0 k1_xboole_0False)False)((v7_struct_0 esk20_0False)False)((l1_struct_0 esk12_0False)False)((l3_algstr_0 esk27_0False)False)((l3_algstr_0 esk20_0False)False)((l3_algstr_0 esk19_0False)False)((l3_algstr_0 esk13_0False)False)((l3_algstr_0 esk1_0False)False)((v3_group_1 esk27_0False)False)((v3_group_1 esk20_0False)False)((v3_group_1 esk19_0False)False)((v3_group_1 esk1_0False)False)((v2_group_1 esk27_0False)False)((v2_group_1 esk20_0False)False)((v2_group_1 esk19_0False)False)((v2_group_1 esk1_0False)False)((v15_algstr_0 esk27_0False)False)((v15_algstr_0 esk20_0False)False)((v15_algstr_0 esk19_0False)False)((v15_algstr_0 esk1_0False)False)False
Proof:
The rest of the proof is missing.