Theorem. (t69_group_11)
∀esk10_4 : setsetsetsetset, ∀esk11_4 : setsetsetsetset, ∀k6_algstr_0 : setsetsetset, ∀a_3_0_group_2 : setsetsetset, ∀u1_struct_0 : setset, ∀k1_zfmisc_1 : setset, ∀m1_subset_1 : setsetprop, ∀v1_funct_1 : setprop, ∀v1_funct_2 : setsetsetprop, ∀k2_zfmisc_1 : setsetset, ∀g3_algstr_0 : setsetset, ∀u2_algstr_0 : setset, ∀k4_group_2 : setsetsetset, ∀k6_domain_1 : setsetset, ∀v1_group_1 : setprop, ∀v1_xboole_0 : setprop, ∀v8_struct_0 : setprop, ∀esk24_2 : setsetset, ∀v1_finseqop : setsetprop, ∀esk22_1 : setset, ∀esk15_1 : setset, ∀v1_setwiseo : setsetprop, ∀k1_tarski : setset, ∀esk8_1 : setset, ∀v1_finset_1 : setprop, ∀esk20_0 : set, ∀esk21_0 : set, ∀esk16_0 : set, ∀esk7_0 : set, ∀esk6_0 : set, ∀o_0_0_xboole_0 : set, ∀esk9_1 : setset, ∀esk13_0 : set, ∀v1_zfmisc_1 : setprop, ∀k1_xboole_0 : set, ∀np__1 : set, ∀v13_struct_0 : setsetprop, ∀v2_binop_1 : setsetprop, ∀esk14_1 : setset, ∀esk19_1 : setset, ∀esk17_1 : setset, ∀l1_struct_0 : setprop, ∀esk18_1 : setset, ∀v7_struct_0 : setprop, ∀esk5_2 : setsetset, ∀esk23_2 : setsetset, ∀esk25_3 : setsetsetset, ∀v15_algstr_0 : setprop, ∀v1_group_3 : setsetprop, ∀r1_tarski : setsetprop, ∀k2_group_2 : setsetsetset, ∀k4_group_11 : setsetsetset, ∀esk2_0 : set, ∀esk1_0 : set, ∀esk3_0 : set, ∀esk4_0 : set, ∀k7_group_4 : setsetsetset, ∀v2_group_1 : setprop, ∀l3_algstr_0 : setprop, ∀k8_group_2 : setsetset, ∀k13_group_2 : setsetsetset, ∀esk12_4 : setsetsetsetset, ∀r1_xboole_0 : setsetprop, ∀r2_hidden : setsetprop, ∀a_3_3_group_11 : setsetsetset, ∀m1_group_2 : setsetprop, ∀v3_group_1 : setprop, ∀v2_struct_0 : setprop, (∀X2 X3 X4 X1, (v2_struct_0 X1False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1m1_group_2 X4 X1m1_group_2 X2 X1r2_hidden X3 (a_3_3_group_11 X1 X4 X2)r1_xboole_0 (k13_group_2 X1 X2 (esk12_4 X3 X1 X4 X2)) (k8_group_2 X1 X4)False)(∀X3 X1 X4 X2, ((k6_algstr_0 X2 (esk10_4 X1 X2 X3 X4) (esk11_4 X1 X2 X3 X4)) = X1False)(v2_struct_0 X2False)l3_algstr_0 X2m1_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)(∀X1, (u1_struct_0 X1) = (k7_group_4 esk1_0 esk3_0 esk4_0)v15_algstr_0 X1m1_group_2 X1 esk1_0v1_group_3 X1 esk1_0r1_tarski (k2_group_2 esk1_0 (k4_group_11 esk1_0 esk2_0 esk3_0) (k4_group_11 esk1_0 esk2_0 esk4_0)) (k4_group_11 esk1_0 esk2_0 X1)False)(∀X3 X1 X4 X2, (v2_struct_0 X2False)(m1_subset_1 (esk11_4 X1 X2 X3 X4) (u1_struct_0 X2)False)l3_algstr_0 X2m1_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 X2False)(m1_subset_1 (esk10_4 X1 X2 X3 X4) (u1_struct_0 X2)False)l3_algstr_0 X2m1_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 X2False)(r2_hidden (esk11_4 X1 X2 X3 X4) X4False)l3_algstr_0 X2m1_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 X2False)(r2_hidden (esk10_4 X1 X2 X3 X4) X3False)l3_algstr_0 X2m1_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 X2False)(m1_subset_1 (esk12_4 X1 X2 X3 X4) (u1_struct_0 X2)False)v2_group_1 X2v3_group_1 X2l3_algstr_0 X2m1_group_2 X4 X2m1_group_2 X3 X2r2_hidden X1 (a_3_3_group_11 X2 X3 X4)False)(∀X2 X3 X4 X5 X6 X1, ((k2_group_2 X1 (k13_group_2 X1 X3 X5) (k13_group_2 X1 X4 X6)) = (k13_group_2 X1 X2 (k6_algstr_0 X1 X5 X6))False)(v2_struct_0 X1False)(u1_struct_0 X2) = (k7_group_4 X1 X3 X4)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1m1_group_2 X4 X1m1_group_2 X3 X1m1_group_2 X2 X1v1_group_3 X4 X1v1_group_3 X3 X1v1_group_3 X2 X1m1_subset_1 X6 (u1_struct_0 X1)m1_subset_1 X5 (u1_struct_0 X1)False)(∀X2 X4 X3 X1, (v2_struct_0 X1False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1m1_group_2 X3 X1m1_group_2 X2 X1m1_subset_1 X4 (u1_struct_0 X1)r2_hidden X4 (k4_group_11 X1 X3 X2)r1_xboole_0 (k13_group_2 X1 X2 X4) (k8_group_2 X1 X3)False)(∀X3 X1 X4 X2, ((esk12_4 X1 X2 X3 X4) = X1False)(v2_struct_0 X2False)v2_group_1 X2v3_group_1 X2l3_algstr_0 X2m1_group_2 X4 X2m1_group_2 X3 X2r2_hidden X1 (a_3_3_group_11 X2 X3 X4)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, (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)(∀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)(∀X4 X5 X6 X3 X1 X2, (v2_struct_0 X2False)(r2_hidden X4 (a_3_0_group_2 X2 X5 X6)False)X4 = (k6_algstr_0 X2 X1 X3)l3_algstr_0 X2r2_hidden X3 X6r2_hidden X1 X5m1_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)(∀X3 X5 X4 X1 X2, (v2_struct_0 X2False)(r2_hidden X3 (a_3_3_group_11 X2 X5 X4)False)(r1_xboole_0 (k13_group_2 X2 X4 X1) (k8_group_2 X2 X5)False)X1 = X3v2_group_1 X2v3_group_1 X2l3_algstr_0 X2m1_group_2 X5 X2m1_group_2 X4 X2m1_subset_1 X1 (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 X1False)(∀X2 X3 X1, ((u1_struct_0 (esk25_3 X1 X2 X3)) = (k7_group_4 X1 X2 X3)False)(v2_struct_0 X1False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1v15_algstr_0 X3v15_algstr_0 X2m1_group_2 X3 X1m1_group_2 X2 X1v1_group_3 X3 X1v1_group_3 X2 X1False)(∀X3 X2 X1, (v2_struct_0 X1False)(m1_subset_1 (k2_group_2 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1))False)l3_algstr_0 X1m1_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 X1False)(v1_group_3 (esk25_3 X1 X2 X3) X1False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1v15_algstr_0 X3v15_algstr_0 X2m1_group_2 X3 X1m1_group_2 X2 X1v1_group_3 X3 X1v1_group_3 X2 X1False)(∀X2 X3 X1, (v2_struct_0 X1False)(m1_group_2 (esk25_3 X1 X2 X3) X1False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1v15_algstr_0 X3v15_algstr_0 X2m1_group_2 X3 X1m1_group_2 X2 X1v1_group_3 X3 X1v1_group_3 X2 X1False)(∀X2 X3 X1, (v2_struct_0 X1False)(v15_algstr_0 (esk25_3 X1 X2 X3)False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1v15_algstr_0 X3v15_algstr_0 X2m1_group_2 X3 X1m1_group_2 X2 X1v1_group_3 X3 X1v1_group_3 X2 X1False)(∀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 X1False)l3_algstr_0 X1m1_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 X1False)(m1_subset_1 (k4_group_2 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1))False)l3_algstr_0 X1m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X2 X1, ((k2_group_2 X1 (k8_group_2 X1 X2) (k8_group_2 X1 X3)) = (k7_group_4 X1 X2 X3)False)(v2_struct_0 X1False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1m1_group_2 X3 X1m1_group_2 X2 X1False)(∀X3 X2 X1, ((k2_group_2 X1 X2 X3) = (a_3_0_group_2 X1 X2 X3)False)(v2_struct_0 X1False)l3_algstr_0 X1m1_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 X1False)(m1_subset_1 (k13_group_2 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1m1_group_2 X2 X1m1_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 X1False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1m1_group_2 X2 X1m1_subset_1 X3 (u1_struct_0 X1)False)(∀X3 X2 X1, (v2_struct_0 X1False)(m1_subset_1 (k4_group_11 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1m1_group_2 X3 X1m1_group_2 X2 X1False)(∀X3 X2 X1, (v2_struct_0 X1False)(m1_subset_1 (k7_group_4 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1m1_group_2 X3 X1m1_group_2 X2 X1False)(∀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 X2 X1, ((k4_group_11 X1 X2 X3) = (a_3_3_group_11 X1 X2 X3)False)(v2_struct_0 X1False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1m1_group_2 X3 X1m1_group_2 X2 X1False)(∀X2 X1, ((k2_group_2 X1 (k8_group_2 X1 X2) (k8_group_2 X1 X2)) = (k8_group_2 X1 X2)False)(v2_struct_0 X1False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1m1_group_2 X2 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)(∀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)(∀X1 X3 X2, r2_hidden X3 X2r2_hidden X1 X2r2_hidden X1 (esk23_2 X3 X2)False)(∀X2 X1, (v2_struct_0 X1False)(m1_subset_1 (k8_group_2 X1 X2) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1m1_group_2 X2 X1False)(∀X2 X1, (r1_tarski X1 X2False)r2_hidden (esk5_2 X1 X2) X2False)(∀X2 X1, (v1_xboole_0 X1False)(m1_subset_1 (k6_domain_1 X1 X2) (k1_zfmisc_1 X1)False)m1_subset_1 X2 X1False)(∀X2 X1 X3, (m1_subset_1 X1 X3False)r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X2 X1 X3, r2_hidden X1 X3r2_hidden X1 X2r1_xboole_0 X2 X3False)(∀X2 X1, ((k8_group_2 X1 X2) = (u1_struct_0 X2)False)(v2_struct_0 X1False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1m1_group_2 X2 X1False)(∀X2 X1, (r2_hidden (esk23_2 X1 X2) X2False)r2_hidden X1 X2False)(∀X2 X1 X3, v1_xboole_0 X3r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X2 X1, (v2_struct_0 X1False)(v8_struct_0 X2False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1v8_struct_0 X1m1_group_2 X2 X1False)(∀X1 X3 X2, (r2_hidden X3 X2False)r1_tarski X1 X2r2_hidden X3 X1False)(∀X1 X2, (r1_xboole_0 X1 X2False)(r2_hidden (esk24_2 X1 X2) X1False)False)(∀X2 X1, (r1_xboole_0 X1 X2False)(r2_hidden (esk24_2 X1 X2) X2False)False)(∀X1 X2, (r1_tarski X1 X2False)(r2_hidden (esk5_2 X1 X2) X1False)False)(∀X2 X1, (v2_struct_0 X1False)(v3_group_1 X2False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1m1_group_2 X2 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)(∀X1, (v7_struct_0 X1False)(m1_subset_1 (esk18_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk22_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk17_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1 X2, (v2_struct_0 X2False)v2_struct_0 X1v2_group_1 X2l3_algstr_0 X2m1_group_2 X1 X2False)(∀X2 X1, (r1_tarski X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X1, (v2_struct_0 X1False)(v1_group_3 (esk15_1 X1) X1False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1False)(∀X1, (v2_struct_0 X1False)(m1_group_2 (esk19_1 X1) X1False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1False)(∀X1, (v2_struct_0 X1False)(m1_group_2 (esk15_1 X1) X1False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1False)(∀X1, (v2_struct_0 X1False)(m1_group_2 (esk14_1 X1) X1False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1False)(∀X1 X2, (v2_struct_0 X2False)(l3_algstr_0 X1False)v2_group_1 X2l3_algstr_0 X2m1_group_2 X1 X2False)(∀X1 X2, (v2_struct_0 X2False)(v2_group_1 X1False)v2_group_1 X2l3_algstr_0 X2m1_group_2 X1 X2False)(∀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, ((k6_domain_1 X1 X2) = (k1_tarski X2)False)(v1_xboole_0 X1False)m1_subset_1 X2 X1False)(∀X2 X1, r2_hidden X2 X1r2_hidden X1 X2False)(∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2)False)r1_tarski X1 X2False)(∀X1, (v2_struct_0 X1False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1v2_struct_0 (esk19_1 X1)False)(∀X1, (v2_struct_0 X1False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1v2_struct_0 (esk15_1 X1)False)(∀X1, (v2_struct_0 X1False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1v2_struct_0 (esk14_1 X1)False)(∀X1, ((g3_algstr_0 (u1_struct_0 X1) (u2_algstr_0 X1)) = X1False)l3_algstr_0 X1v15_algstr_0 X1False)(∀X1 X2, (v1_xboole_0 X2False)(r2_hidden X1 X2False)m1_subset_1 X1 X2False)(∀X1, (v2_struct_0 X1False)(m1_group_2 (esk8_1 X1) X1False)v2_group_1 X1l3_algstr_0 X1False)(∀X2 X1, (r1_xboole_0 X2 X1False)r1_xboole_0 X1 X2False)(∀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 X1False)(v8_struct_0 (esk19_1 X1)False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1False)(∀X1, (v2_struct_0 X1False)(v1_group_1 (esk19_1 X1)False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1False)(∀X1, (v2_struct_0 X1False)(v1_group_1 (esk15_1 X1)False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1False)(∀X1, (v2_struct_0 X1False)(v1_group_1 (esk14_1 X1)False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1False)(∀X1, (v2_struct_0 X1False)(v15_algstr_0 (esk19_1 X1)False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1False)(∀X1, (v2_struct_0 X1False)(v15_algstr_0 (esk15_1 X1)False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1False)(∀X1, (v2_struct_0 X1False)(v15_algstr_0 (esk14_1 X1)False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1False)(∀X1, (v2_struct_0 X1False)(v3_group_1 (esk19_1 X1)False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1False)(∀X1, (v2_struct_0 X1False)(v3_group_1 (esk15_1 X1)False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1False)(∀X1, (v2_struct_0 X1False)(v3_group_1 (esk14_1 X1)False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1False)(∀X1, (v2_struct_0 X1False)(v2_group_1 (esk19_1 X1)False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1False)(∀X1, (v2_struct_0 X1False)(v2_group_1 (esk15_1 X1)False)v2_group_1 X1v3_group_1 X1l3_algstr_0 X1False)(∀X1, (v2_struct_0 X1False)(v2_group_1 (esk14_1 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)(∀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 (esk18_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 (esk22_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (esk17_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, (v1_finset_1 (u1_struct_0 X1)False)l1_struct_0 X1v8_struct_0 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 (esk17_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, (l1_struct_0 X1False)l3_algstr_0 X1False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)(∀X1, v1_xboole_0 (k1_tarski X1)False)(v1_xboole_0 esk20_0False)(v1_xboole_0 np__1False)(v2_struct_0 esk21_0False)(v2_struct_0 esk13_0False)(v2_struct_0 esk1_0False)(∀X1, (m1_subset_1 (esk9_1 X1) X1False)False)(∀X1, (r1_tarski X1 X1False)False)((v1_group_3 esk4_0 esk1_0False)False)((v1_group_3 esk3_0 esk1_0False)False)((m1_group_2 esk4_0 esk1_0False)False)((m1_group_2 esk3_0 esk1_0False)False)((m1_group_2 esk2_0 esk1_0False)False)((v1_xboole_0 esk16_0False)False)((v1_xboole_0 o_0_0_xboole_0False)False)((v1_xboole_0 k1_xboole_0False)False)((v8_struct_0 esk21_0False)False)((v1_group_1 esk21_0False)False)((l1_struct_0 esk6_0False)False)((v15_algstr_0 esk21_0False)False)((v15_algstr_0 esk13_0False)False)((v15_algstr_0 esk4_0False)False)((v15_algstr_0 esk3_0False)False)((l3_algstr_0 esk21_0False)False)((l3_algstr_0 esk13_0False)False)((l3_algstr_0 esk7_0False)False)((l3_algstr_0 esk1_0False)False)((v3_group_1 esk21_0False)False)((v3_group_1 esk13_0False)False)((v3_group_1 esk1_0False)False)((v2_group_1 esk21_0False)False)((v2_group_1 esk13_0False)False)((v2_group_1 esk1_0False)False)((o_0_0_xboole_0 = k1_xboole_0False)False)False
Proof:
The rest of the proof is missing.