Theorem. (t39_isocat_1)
∀k4_isocat_1 : setsetsetsetsetsetsetset, ∀k5_isocat_1 : setsetsetsetsetsetsetset, ∀k7_nattra_1 : setsetsetsetsetsetsetset, ∀epred2_1 : setprop, ∀epred5_1 : setprop, ∀v1_funct_2 : setsetsetprop, ∀esk18_4 : setsetsetsetset, ∀k3_relat_1 : setsetset, ∀v1_xboole_0 : setprop, ∀esk20_2 : setsetset, ∀v4_relat_1 : setsetprop, ∀v7_struct_0 : setprop, ∀esk25_1 : setset, ∀l1_struct_0 : setprop, ∀esk24_1 : setset, ∀v13_struct_0 : setsetprop, ∀np__1 : set, ∀k1_xboole_0 : set, ∀v15_struct_0 : setprop, ∀v1_zfmisc_1 : setprop, ∀l5_struct_0 : setprop, ∀v14_struct_0 : setprop, ∀esk27_0 : set, ∀esk23_2 : setsetset, ∀esk19_1 : setset, ∀esk15_0 : set, ∀esk16_0 : set, ∀esk14_0 : set, ∀esk17_0 : set, ∀o_0_0_xboole_0 : set, ∀esk22_2 : setsetset, ∀esk26_0 : set, ∀esk4_0 : set, ∀esk2_0 : set, ∀esk5_0 : set, ∀esk3_0 : set, ∀esk9_0 : set, ∀esk7_0 : set, ∀esk11_0 : set, ∀esk13_0 : set, ∀esk12_0 : set, ∀esk8_0 : set, ∀esk10_0 : set, ∀esk6_0 : set, ∀esk1_0 : set, ∀l1_graph_1 : setprop, ∀v1_finset_1 : setprop, ∀v8_struct_0 : setprop, ∀r1_tarski : setsetprop, ∀esk28_1 : setset, ∀r2_hidden : setsetprop, ∀v1_relat_1 : setprop, ∀v5_relat_1 : setsetprop, ∀v1_partfun1 : setsetprop, ∀esk21_4 : setsetsetsetset, ∀v1_funct_1 : setprop, ∀k1_zfmisc_1 : setset, ∀k2_zfmisc_1 : setsetset, ∀m1_subset_1 : setsetprop, ∀m1_nattra_1 : setsetsetsetsetprop, ∀epred3_1 : setprop, ∀epred4_1 : setprop, ∀epred1_1 : setprop, ∀r2_nattra_1 : setsetsetsetprop, ∀u1_struct_0 : setset, ∀u4_struct_0 : setset, ∀r2_funct_2 : setsetsetsetprop, ∀v11_struct_0 : setprop, ∀v2_cat_1 : setprop, ∀v4_cat_1 : setprop, ∀v6_cat_1 : setprop, ∀m2_cat_1 : setsetsetprop, ∀l1_cat_1 : setprop, ∀v5_cat_1 : setprop, ∀v3_cat_1 : setprop, ∀k9_cat_1 : setsetsetsetsetset, ∀k6_isocat_1 : setsetsetsetsetsetsetsetsetset, ∀m2_nattra_1 : setsetsetsetsetprop, ∀v2_struct_0 : setprop, (∀X2 X6 X4 X9 X8 X5 X7 X1 X3, (v2_struct_0 X3False)(v2_struct_0 X2False)(v2_struct_0 X1False)(v11_struct_0 X3False)(v11_struct_0 X2False)(v11_struct_0 X1False)(m2_nattra_1 (k6_isocat_1 X1 X2 X3 X4 X5 X6 X7 X8 X9) X1 X3 (k9_cat_1 X1 X2 X3 X4 X6) (k9_cat_1 X1 X2 X3 X5 X7)False)v2_cat_1 X3v2_cat_1 X2v2_cat_1 X1v3_cat_1 X3v3_cat_1 X2v3_cat_1 X1v4_cat_1 X3v4_cat_1 X2v4_cat_1 X1v5_cat_1 X3v5_cat_1 X2v5_cat_1 X1v6_cat_1 X3v6_cat_1 X2v6_cat_1 X1l1_cat_1 X3l1_cat_1 X2l1_cat_1 X1m2_cat_1 X7 X2 X3m2_cat_1 X6 X2 X3m2_cat_1 X5 X1 X2m2_cat_1 X4 X1 X2m2_nattra_1 X9 X2 X3 X6 X7m2_nattra_1 X8 X1 X2 X4 X5False)(∀X2 X6 X4 X9 X8 X5 X7 X1 X3, ((k7_nattra_1 X1 X3 (k9_cat_1 X1 X2 X3 X4 X6) (k9_cat_1 X1 X2 X3 X5 X6) (k9_cat_1 X1 X2 X3 X5 X7) (k4_isocat_1 X1 X2 X3 X4 X5 X8 X6) (k5_isocat_1 X1 X2 X3 X6 X7 X5 X9)) = (k6_isocat_1 X1 X2 X3 X4 X5 X6 X7 X8 X9)False)(v2_struct_0 X3False)(v2_struct_0 X2False)(v2_struct_0 X1False)(v11_struct_0 X3False)(v11_struct_0 X2False)(v11_struct_0 X1False)v2_cat_1 X3v2_cat_1 X2v2_cat_1 X1v3_cat_1 X3v3_cat_1 X2v3_cat_1 X1v4_cat_1 X3v4_cat_1 X2v4_cat_1 X1v5_cat_1 X3v5_cat_1 X2v5_cat_1 X1v6_cat_1 X3v6_cat_1 X2v6_cat_1 X1l1_cat_1 X3l1_cat_1 X2l1_cat_1 X1m2_cat_1 X7 X2 X3m2_cat_1 X6 X2 X3m2_cat_1 X5 X1 X2m2_cat_1 X4 X1 X2m2_nattra_1 X9 X2 X3 X6 X7m2_nattra_1 X8 X1 X2 X4 X5False)(∀X2 X7 X5 X8 X9 X4 X6 X1 X3, (v2_struct_0 X3False)(v2_struct_0 X2False)(v11_struct_0 X3False)(v11_struct_0 X2False)(r2_funct_2 (u1_struct_0 X2) (u4_struct_0 X1) (k4_isocat_1 X2 X3 X1 X4 X6 (k7_nattra_1 X2 X3 X4 X5 X6 X8 X9) X7) (k7_nattra_1 X2 X1 (k9_cat_1 X2 X3 X1 X4 X7) (k9_cat_1 X2 X3 X1 X5 X7) (k9_cat_1 X2 X3 X1 X6 X7) (k4_isocat_1 X2 X3 X1 X4 X5 X8 X7) (k4_isocat_1 X2 X3 X1 X5 X6 X9 X7))False)v2_cat_1 X3v2_cat_1 X2v3_cat_1 X3v3_cat_1 X2v4_cat_1 X3v4_cat_1 X2v5_cat_1 X3v5_cat_1 X2v6_cat_1 X3v6_cat_1 X2l1_cat_1 X3l1_cat_1 X2epred1_1 X1m2_cat_1 X7 X3 X1m2_cat_1 X6 X2 X3m2_cat_1 X5 X2 X3m2_cat_1 X4 X2 X3r2_nattra_1 X2 X3 X5 X6r2_nattra_1 X2 X3 X4 X5m2_nattra_1 X9 X2 X3 X5 X6m2_nattra_1 X8 X2 X3 X4 X5False)(∀X2 X7 X5 X8 X9 X4 X6 X1 X3, (v2_struct_0 X3False)(v2_struct_0 X2False)(v11_struct_0 X3False)(v11_struct_0 X2False)(r2_funct_2 (u1_struct_0 X1) (u4_struct_0 X3) (k5_isocat_1 X1 X2 X3 X5 X7 X4 (k7_nattra_1 X2 X3 X5 X6 X7 X8 X9)) (k7_nattra_1 X1 X3 (k9_cat_1 X1 X2 X3 X4 X5) (k9_cat_1 X1 X2 X3 X4 X6) (k9_cat_1 X1 X2 X3 X4 X7) (k5_isocat_1 X1 X2 X3 X5 X6 X4 X8) (k5_isocat_1 X1 X2 X3 X6 X7 X4 X9))False)v2_cat_1 X3v2_cat_1 X2v3_cat_1 X3v3_cat_1 X2v4_cat_1 X3v4_cat_1 X2v5_cat_1 X3v5_cat_1 X2v6_cat_1 X3v6_cat_1 X2l1_cat_1 X3l1_cat_1 X2epred2_1 X1m2_cat_1 X7 X2 X3m2_cat_1 X6 X2 X3m2_cat_1 X5 X2 X3m2_cat_1 X4 X1 X2r2_nattra_1 X2 X3 X6 X7r2_nattra_1 X2 X3 X5 X6m2_nattra_1 X9 X2 X3 X6 X7m2_nattra_1 X8 X2 X3 X5 X6False)(∀X3 X8 X6 X9 X5 X7 X1 X2 X4, (v2_struct_0 X4False)(v2_struct_0 X3False)(v2_struct_0 X2False)(v11_struct_0 X4False)(v11_struct_0 X3False)(v11_struct_0 X2False)(r2_funct_2 (u1_struct_0 X1) (u4_struct_0 X2) (k5_isocat_1 X1 X3 X2 (k9_cat_1 X3 X4 X2 X6 X8) (k9_cat_1 X3 X4 X2 X7 X8) X5 (k4_isocat_1 X3 X4 X2 X6 X7 X9 X8)) (k4_isocat_1 X1 X4 X2 (k9_cat_1 X1 X3 X4 X5 X6) (k9_cat_1 X1 X3 X4 X5 X7) (k5_isocat_1 X1 X3 X4 X6 X7 X5 X9) X8)False)v2_cat_1 X4v2_cat_1 X3v2_cat_1 X2v3_cat_1 X4v3_cat_1 X3v3_cat_1 X2v4_cat_1 X4v4_cat_1 X3v4_cat_1 X2v5_cat_1 X4v5_cat_1 X3v5_cat_1 X2v6_cat_1 X4v6_cat_1 X3v6_cat_1 X2l1_cat_1 X4l1_cat_1 X3l1_cat_1 X2epred4_1 X1m2_cat_1 X8 X4 X2m2_cat_1 X7 X3 X4m2_cat_1 X6 X3 X4m2_cat_1 X5 X1 X3r2_nattra_1 X3 X4 X6 X7m2_nattra_1 X9 X3 X4 X6 X7False)(∀X1 X5 X3 X9 X8 X7 X4 X6 X2, (v2_struct_0 X2False)(v2_struct_0 X1False)(v11_struct_0 X2False)(v11_struct_0 X1False)(r2_funct_2 (u1_struct_0 X1) (u4_struct_0 X2) (k7_nattra_1 X1 X2 X3 X4 X6 X7 (k7_nattra_1 X1 X2 X4 X5 X6 X8 X9)) (k7_nattra_1 X1 X2 X3 X5 X6 (k7_nattra_1 X1 X2 X3 X4 X5 X7 X8) X9)False)v2_cat_1 X2v2_cat_1 X1v3_cat_1 X2v3_cat_1 X1v4_cat_1 X2v4_cat_1 X1v5_cat_1 X2v5_cat_1 X1v6_cat_1 X2v6_cat_1 X1l1_cat_1 X2l1_cat_1 X1m2_cat_1 X6 X1 X2m2_cat_1 X5 X1 X2m2_cat_1 X4 X1 X2m2_cat_1 X3 X1 X2r2_nattra_1 X1 X2 X5 X6r2_nattra_1 X1 X2 X4 X5r2_nattra_1 X1 X2 X3 X4m2_nattra_1 X9 X1 X2 X5 X6m2_nattra_1 X8 X1 X2 X4 X5m2_nattra_1 X7 X1 X2 X3 X4False)(∀X3 X8 X6 X9 X5 X7 X1 X2 X4, (v2_struct_0 X4False)(v2_struct_0 X3False)(v2_struct_0 X2False)(v11_struct_0 X4False)(v11_struct_0 X3False)(v11_struct_0 X2False)(r2_funct_2 (u1_struct_0 X1) (u4_struct_0 X4) (k5_isocat_1 X1 X2 X4 (k9_cat_1 X2 X3 X4 X6 X7) (k9_cat_1 X2 X3 X4 X6 X8) X5 (k5_isocat_1 X2 X3 X4 X7 X8 X6 X9)) (k5_isocat_1 X1 X3 X4 X7 X8 (k9_cat_1 X1 X2 X3 X5 X6) X9)False)v2_cat_1 X4v2_cat_1 X3v2_cat_1 X2v3_cat_1 X4v3_cat_1 X3v3_cat_1 X2v4_cat_1 X4v4_cat_1 X3v4_cat_1 X2v5_cat_1 X4v5_cat_1 X3v5_cat_1 X2v6_cat_1 X4v6_cat_1 X3v6_cat_1 X2l1_cat_1 X4l1_cat_1 X3l1_cat_1 X2epred3_1 X1m2_cat_1 X8 X3 X4m2_cat_1 X7 X3 X4m2_cat_1 X6 X2 X3m2_cat_1 X5 X1 X2r2_nattra_1 X3 X4 X7 X8m2_nattra_1 X9 X3 X4 X7 X8False)(∀X3 X8 X6 X9 X5 X7 X1 X2 X4, (v2_struct_0 X4False)(v2_struct_0 X3False)(v2_struct_0 X2False)(v11_struct_0 X4False)(v11_struct_0 X3False)(v11_struct_0 X2False)(r2_funct_2 (u1_struct_0 X3) (u4_struct_0 X2) (k4_isocat_1 X3 X4 X2 X5 X6 X9 (k9_cat_1 X4 X1 X2 X7 X8)) (k4_isocat_1 X3 X1 X2 (k9_cat_1 X3 X4 X1 X5 X7) (k9_cat_1 X3 X4 X1 X6 X7) (k4_isocat_1 X3 X4 X1 X5 X6 X9 X7) X8)False)v2_cat_1 X4v2_cat_1 X3v2_cat_1 X2v3_cat_1 X4v3_cat_1 X3v3_cat_1 X2v4_cat_1 X4v4_cat_1 X3v4_cat_1 X2v5_cat_1 X4v5_cat_1 X3v5_cat_1 X2v6_cat_1 X4v6_cat_1 X3v6_cat_1 X2l1_cat_1 X4l1_cat_1 X3l1_cat_1 X2epred5_1 X1m2_cat_1 X8 X1 X2m2_cat_1 X7 X4 X1m2_cat_1 X6 X3 X4m2_cat_1 X5 X3 X4r2_nattra_1 X3 X4 X5 X6m2_nattra_1 X9 X3 X4 X5 X6False)(∀X2 X5 X7 X4 X6 X1 X3, (v2_struct_0 X3False)(v2_struct_0 X2False)(v2_struct_0 X1False)(v11_struct_0 X3False)(v11_struct_0 X2False)(v11_struct_0 X1False)(m2_nattra_1 (k5_isocat_1 X1 X2 X3 X4 X5 X6 X7) X1 X3 (k9_cat_1 X1 X2 X3 X6 X4) (k9_cat_1 X1 X2 X3 X6 X5)False)v2_cat_1 X3v2_cat_1 X2v2_cat_1 X1v3_cat_1 X3v3_cat_1 X2v3_cat_1 X1v4_cat_1 X3v4_cat_1 X2v4_cat_1 X1v5_cat_1 X3v5_cat_1 X2v5_cat_1 X1v6_cat_1 X3v6_cat_1 X2v6_cat_1 X1l1_cat_1 X3l1_cat_1 X2l1_cat_1 X1m2_cat_1 X6 X1 X2m2_cat_1 X5 X2 X3m2_cat_1 X4 X2 X3m2_nattra_1 X7 X2 X3 X4 X5False)(∀X2 X5 X6 X4 X7 X1 X3, (v2_struct_0 X3False)(v2_struct_0 X2False)(v2_struct_0 X1False)(v11_struct_0 X3False)(v11_struct_0 X2False)(v11_struct_0 X1False)(m2_nattra_1 (k4_isocat_1 X1 X2 X3 X4 X5 X6 X7) X1 X3 (k9_cat_1 X1 X2 X3 X4 X7) (k9_cat_1 X1 X2 X3 X5 X7)False)v2_cat_1 X3v2_cat_1 X2v2_cat_1 X1v3_cat_1 X3v3_cat_1 X2v3_cat_1 X1v4_cat_1 X3v4_cat_1 X2v4_cat_1 X1v5_cat_1 X3v5_cat_1 X2v5_cat_1 X1v6_cat_1 X3v6_cat_1 X2v6_cat_1 X1l1_cat_1 X3l1_cat_1 X2l1_cat_1 X1m2_cat_1 X7 X2 X3m2_cat_1 X5 X1 X2m2_cat_1 X4 X1 X2m2_nattra_1 X6 X1 X2 X4 X5False)(∀X1 X4 X6 X7 X3 X5 X2, (v2_struct_0 X2False)(v2_struct_0 X1False)(v11_struct_0 X2False)(v11_struct_0 X1False)(m2_nattra_1 (k7_nattra_1 X1 X2 X3 X4 X5 X6 X7) X1 X2 X3 X5False)v2_cat_1 X2v2_cat_1 X1v3_cat_1 X2v3_cat_1 X1v4_cat_1 X2v4_cat_1 X1v5_cat_1 X2v5_cat_1 X1v6_cat_1 X2v6_cat_1 X1l1_cat_1 X2l1_cat_1 X1m2_cat_1 X5 X1 X2m2_cat_1 X4 X1 X2m2_cat_1 X3 X1 X2m2_nattra_1 X7 X1 X2 X4 X5m2_nattra_1 X6 X1 X2 X3 X4False)(∀X2 X6 X4 X5 X7 X1 X3, (v2_struct_0 X3False)(v2_struct_0 X2False)(v2_struct_0 X1False)(v11_struct_0 X3False)(v11_struct_0 X2False)(v11_struct_0 X1False)(r2_nattra_1 X1 X3 (k9_cat_1 X1 X2 X3 X4 X6) (k9_cat_1 X1 X2 X3 X5 X7)False)v2_cat_1 X3v2_cat_1 X2v2_cat_1 X1v3_cat_1 X3v3_cat_1 X2v3_cat_1 X1v4_cat_1 X3v4_cat_1 X2v4_cat_1 X1v5_cat_1 X3v5_cat_1 X2v5_cat_1 X1v6_cat_1 X3v6_cat_1 X2v6_cat_1 X1l1_cat_1 X3l1_cat_1 X2l1_cat_1 X1m2_cat_1 X7 X2 X3m2_cat_1 X6 X2 X3m2_cat_1 X5 X1 X2m2_cat_1 X4 X1 X2r2_nattra_1 X2 X3 X6 X7r2_nattra_1 X1 X2 X4 X5False)(∀X1 X3 X5 X4 X2, (v2_struct_0 X2False)(v2_struct_0 X1False)(v11_struct_0 X2False)(v11_struct_0 X1False)(m1_nattra_1 X5 X1 X2 X3 X4False)v2_cat_1 X2v2_cat_1 X1v3_cat_1 X2v3_cat_1 X1v4_cat_1 X2v4_cat_1 X1v5_cat_1 X2v5_cat_1 X1v6_cat_1 X2v6_cat_1 X1l1_cat_1 X2l1_cat_1 X1m2_cat_1 X4 X1 X2m2_cat_1 X3 X1 X2m2_nattra_1 X5 X1 X2 X3 X4False)(∀X2 X5 X4 X1 X3, (v2_struct_0 X3False)(v2_struct_0 X2False)(v2_struct_0 X1False)(v11_struct_0 X3False)(v11_struct_0 X2False)(v11_struct_0 X1False)(m2_cat_1 (k9_cat_1 X1 X2 X3 X4 X5) X1 X3False)v2_cat_1 X3v2_cat_1 X2v2_cat_1 X1v3_cat_1 X3v3_cat_1 X2v3_cat_1 X1v4_cat_1 X3v4_cat_1 X2v4_cat_1 X1v5_cat_1 X3v5_cat_1 X2v5_cat_1 X1v6_cat_1 X3v6_cat_1 X2v6_cat_1 X1l1_cat_1 X3l1_cat_1 X2l1_cat_1 X1m2_cat_1 X5 X2 X3m2_cat_1 X4 X1 X2False)(∀X2 X5 X4 X1 X3, (v2_struct_0 X3False)(v2_struct_0 X2False)(v11_struct_0 X3False)(v11_struct_0 X2False)(m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (u1_struct_0 X2) (u4_struct_0 X3)))False)v2_cat_1 X3v2_cat_1 X2v3_cat_1 X3v3_cat_1 X2v4_cat_1 X3v4_cat_1 X2v5_cat_1 X3v5_cat_1 X2v6_cat_1 X3v6_cat_1 X2l1_cat_1 X3l1_cat_1 X2m2_cat_1 X5 X2 X3m2_cat_1 X4 X2 X3m1_nattra_1 X1 X2 X3 X4 X5False)(∀X2 X5 X4 X1 X3, (v2_struct_0 X3False)(v2_struct_0 X2False)(v11_struct_0 X3False)(v11_struct_0 X2False)(v1_funct_2 X1 (u1_struct_0 X2) (u4_struct_0 X3)False)v2_cat_1 X3v2_cat_1 X2v3_cat_1 X3v3_cat_1 X2v4_cat_1 X3v4_cat_1 X2v5_cat_1 X3v5_cat_1 X2v6_cat_1 X3v6_cat_1 X2l1_cat_1 X3l1_cat_1 X2m2_cat_1 X5 X2 X3m2_cat_1 X4 X2 X3m1_nattra_1 X1 X2 X3 X4 X5False)(∀X2 X5 X4 X1 X3, (v2_struct_0 X3False)(v2_struct_0 X2False)(v11_struct_0 X3False)(v11_struct_0 X2False)(v1_funct_1 X1False)v2_cat_1 X3v2_cat_1 X2v3_cat_1 X3v3_cat_1 X2v4_cat_1 X3v4_cat_1 X2v5_cat_1 X3v5_cat_1 X2v6_cat_1 X3v6_cat_1 X2l1_cat_1 X3l1_cat_1 X2m2_cat_1 X5 X2 X3m2_cat_1 X4 X2 X3m1_nattra_1 X1 X2 X3 X4 X5False)(∀X1 X4 X3 X2, (v2_struct_0 X2False)(v2_struct_0 X1False)(v11_struct_0 X2False)(v11_struct_0 X1False)(m1_nattra_1 (esk18_4 X1 X2 X3 X4) X1 X2 X3 X4False)v2_cat_1 X2v2_cat_1 X1v3_cat_1 X2v3_cat_1 X1v4_cat_1 X2v4_cat_1 X1v5_cat_1 X2v5_cat_1 X1v6_cat_1 X2v6_cat_1 X1l1_cat_1 X2l1_cat_1 X1m2_cat_1 X4 X1 X2m2_cat_1 X3 X1 X2False)(∀X1 X4 X3 X2, (v2_struct_0 X2False)(v2_struct_0 X1False)(v11_struct_0 X2False)(v11_struct_0 X1False)(m2_nattra_1 (esk21_4 X1 X2 X3 X4) X1 X2 X3 X4False)v2_cat_1 X2v2_cat_1 X1v3_cat_1 X2v3_cat_1 X1v4_cat_1 X2v4_cat_1 X1v5_cat_1 X2v5_cat_1 X1v6_cat_1 X2v6_cat_1 X1l1_cat_1 X2l1_cat_1 X1m2_cat_1 X4 X1 X2m2_cat_1 X3 X1 X2False)(∀X2 X5 X4 X1 X3, ((k9_cat_1 X1 X2 X3 X4 X5) = (k3_relat_1 X4 X5)False)(v2_struct_0 X3False)(v2_struct_0 X2False)(v2_struct_0 X1False)(v11_struct_0 X3False)(v11_struct_0 X2False)(v11_struct_0 X1False)v2_cat_1 X3v2_cat_1 X2v2_cat_1 X1v3_cat_1 X3v3_cat_1 X2v3_cat_1 X1v4_cat_1 X3v4_cat_1 X2v4_cat_1 X1v5_cat_1 X3v5_cat_1 X2v5_cat_1 X1v6_cat_1 X3v6_cat_1 X2v6_cat_1 X1l1_cat_1 X3l1_cat_1 X2l1_cat_1 X1m2_cat_1 X5 X2 X3m2_cat_1 X4 X1 X2False)(∀X1 X3 X2 X4, (r2_funct_2 X2 X3 X4 X1False)v1_funct_1 X4v1_funct_1 X1v1_funct_2 X4 X2 X3v1_funct_2 X1 X2 X3r2_funct_2 X2 X3 X1 X4m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X1 X2 X3 X4, (X3 = X4False)v1_funct_1 X4v1_funct_1 X3v1_funct_2 X4 X1 X2v1_funct_2 X3 X1 X2r2_funct_2 X1 X2 X3 X4m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X3 X4 X1 X2, (r2_funct_2 X3 X4 X1 X2False)X1 = X2v1_funct_1 X2v1_funct_1 X1v1_funct_2 X2 X3 X4v1_funct_2 X1 X3 X4m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4))False)(∀X4 X1 X3 X2, (r2_funct_2 X2 X3 X1 X1False)v1_funct_1 X4v1_funct_1 X1v1_funct_2 X4 X2 X3v1_funct_2 X1 X2 X3m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X1 X4 X3 X2, (v2_struct_0 X2False)(v2_struct_0 X1False)(v11_struct_0 X2False)(v11_struct_0 X1False)(r2_nattra_1 X1 X2 X3 X3False)v2_cat_1 X2v2_cat_1 X1v3_cat_1 X2v3_cat_1 X1v4_cat_1 X2v4_cat_1 X1v5_cat_1 X2v5_cat_1 X1v6_cat_1 X2v6_cat_1 X1l1_cat_1 X2l1_cat_1 X1m2_cat_1 X4 X1 X2m2_cat_1 X3 X1 X2False)(∀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)(∀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)(∀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 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)(∀X2 X1 X3, (v2_struct_0 X3False)(v2_struct_0 X2False)(v11_struct_0 X3False)(v11_struct_0 X2False)(m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (u4_struct_0 X2) (u4_struct_0 X3)))False)v2_cat_1 X3v2_cat_1 X2v3_cat_1 X3v3_cat_1 X2v4_cat_1 X3v4_cat_1 X2v5_cat_1 X3v5_cat_1 X2v6_cat_1 X3v6_cat_1 X2l1_cat_1 X3l1_cat_1 X2m2_cat_1 X1 X2 X3False)(∀X2 X1 X3, (v2_struct_0 X3False)(v2_struct_0 X2False)(v11_struct_0 X3False)(v11_struct_0 X2False)(v1_funct_2 X1 (u4_struct_0 X2) (u4_struct_0 X3)False)v2_cat_1 X3v2_cat_1 X2v3_cat_1 X3v3_cat_1 X2v4_cat_1 X3v4_cat_1 X2v5_cat_1 X3v5_cat_1 X2v6_cat_1 X3v6_cat_1 X2l1_cat_1 X3l1_cat_1 X2m2_cat_1 X1 X2 X3False)(∀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)(∀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 X1 X3, (v2_struct_0 X3False)(v2_struct_0 X2False)(v11_struct_0 X3False)(v11_struct_0 X2False)(v1_funct_1 X1False)v2_cat_1 X3v2_cat_1 X2v3_cat_1 X3v3_cat_1 X2v4_cat_1 X3v4_cat_1 X2v5_cat_1 X3v5_cat_1 X2v6_cat_1 X3v6_cat_1 X2l1_cat_1 X3l1_cat_1 X2m2_cat_1 X1 X2 X3False)(∀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)(∀X1 X2, (v2_struct_0 X2False)(v2_struct_0 X1False)(v11_struct_0 X2False)(v11_struct_0 X1False)(m2_cat_1 (esk20_2 X1 X2) X1 X2False)v2_cat_1 X2v2_cat_1 X1v3_cat_1 X2v3_cat_1 X1v4_cat_1 X2v4_cat_1 X1v5_cat_1 X2v5_cat_1 X1v6_cat_1 X2v6_cat_1 X1l1_cat_1 X2l1_cat_1 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)(∀X3 X2 X1, (v1_relat_1 X1False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X1 X2 X3, ((k3_relat_1 (k3_relat_1 X1 X2) X3) = (k3_relat_1 X1 (k3_relat_1 X2 X3))False)v1_relat_1 X3v1_relat_1 X2v1_relat_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, (v2_struct_0 X1False)(v11_struct_0 X1False)(epred5_1 X1False)v2_cat_1 X1v3_cat_1 X1v4_cat_1 X1v5_cat_1 X1v6_cat_1 X1l1_cat_1 X1False)(∀X1, (v2_struct_0 X1False)(v11_struct_0 X1False)(epred4_1 X1False)v2_cat_1 X1v3_cat_1 X1v4_cat_1 X1v5_cat_1 X1v6_cat_1 X1l1_cat_1 X1False)(∀X1, (v2_struct_0 X1False)(v11_struct_0 X1False)(epred3_1 X1False)v2_cat_1 X1v3_cat_1 X1v4_cat_1 X1v5_cat_1 X1v6_cat_1 X1l1_cat_1 X1False)(∀X1, (v2_struct_0 X1False)(v11_struct_0 X1False)(epred2_1 X1False)v2_cat_1 X1v3_cat_1 X1v4_cat_1 X1v5_cat_1 X1v6_cat_1 X1l1_cat_1 X1False)(∀X1, (v2_struct_0 X1False)(v11_struct_0 X1False)(epred1_1 X1False)v2_cat_1 X1v3_cat_1 X1v4_cat_1 X1v5_cat_1 X1v6_cat_1 X1l1_cat_1 X1False)(∀X1, (v7_struct_0 X1False)(m1_subset_1 (esk25_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 (esk24_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)(∀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 X2, (v1_xboole_0 X2False)(r2_hidden X1 X2False)m1_subset_1 X1 X2False)(∀X2 X1, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀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, (v8_struct_0 X1False)l1_struct_0 X1v1_finset_1 (u1_struct_0 X1)False)(∀X1, (v15_struct_0 X1False)l5_struct_0 X1v1_zfmisc_1 (u4_struct_0 X1)False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v1_zfmisc_1 (esk25_1 X1)False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v1_zfmisc_1 (u1_struct_0 X1)False)(∀X1, (v11_struct_0 X1False)l5_struct_0 X1v1_xboole_0 (u4_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 (esk24_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (u1_struct_0 X1)False)(∀X1, (v2_struct_0 X1False)(v11_struct_0 X1False)(v6_cat_1 X1False)l1_cat_1 X1v15_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(v11_struct_0 X1False)(v5_cat_1 X1False)l1_cat_1 X1v7_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(v11_struct_0 X1False)(v4_cat_1 X1False)l1_cat_1 X1v15_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(v11_struct_0 X1False)(v3_cat_1 X1False)l1_cat_1 X1v7_struct_0 X1False)(∀X1, (v13_struct_0 X1 k1_xboole_0False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v11_struct_0 X1False)v2_struct_0 X1l5_struct_0 X1v14_struct_0 X1False)(∀X1, (v11_struct_0 X1False)v2_struct_0 X1l5_struct_0 X1v14_struct_0 X1False)(∀X1, (v1_finset_1 (u1_struct_0 X1)False)l1_struct_0 X1v8_struct_0 X1False)(∀X1, (v1_zfmisc_1 (u4_struct_0 X1)False)l5_struct_0 X1v15_struct_0 X1False)(∀X1, (v1_zfmisc_1 (u1_struct_0 X1)False)l1_struct_0 X1v7_struct_0 X1False)(∀X1, (v1_xboole_0 (u4_struct_0 X1)False)v11_struct_0 X1l5_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 (esk24_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, (v15_struct_0 X1False)v11_struct_0 X1l5_struct_0 X1False)(∀X1, (v14_struct_0 X1False)v11_struct_0 X1l5_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, (v7_struct_0 X1False)v2_struct_0 X1l1_struct_0 X1False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)(∀X1, (v2_struct_0 X1False)(v14_struct_0 X1False)l5_struct_0 X1False)(∀X1, (l1_graph_1 X1False)l1_cat_1 X1False)(∀X1, (l5_struct_0 X1False)l1_graph_1 X1False)(∀X1, (l1_struct_0 X1False)l5_struct_0 X1False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)(r2_funct_2 (u1_struct_0 esk1_0) (u4_struct_0 esk4_0) (k6_isocat_1 esk1_0 esk3_0 esk4_0 (k9_cat_1 esk1_0 esk2_0 esk3_0 esk5_0 esk7_0) (k9_cat_1 esk1_0 esk2_0 esk3_0 esk6_0 esk8_0) esk9_0 esk10_0 (k6_isocat_1 esk1_0 esk2_0 esk3_0 esk5_0 esk6_0 esk7_0 esk8_0 esk11_0 esk12_0) esk13_0) (k6_isocat_1 esk1_0 esk2_0 esk4_0 esk5_0 esk6_0 (k9_cat_1 esk2_0 esk3_0 esk4_0 esk7_0 esk9_0) (k9_cat_1 esk2_0 esk3_0 esk4_0 esk8_0 esk10_0) esk11_0 (k6_isocat_1 esk2_0 esk3_0 esk4_0 esk7_0 esk8_0 esk9_0 esk10_0 esk12_0 esk13_0))False)(v1_xboole_0 np__1False)(v15_struct_0 esk26_0False)(v11_struct_0 esk27_0False)(v11_struct_0 esk4_0False)(v11_struct_0 esk3_0False)(v11_struct_0 esk2_0False)(v11_struct_0 esk1_0False)(v2_struct_0 esk27_0False)(v2_struct_0 esk4_0False)(v2_struct_0 esk3_0False)(v2_struct_0 esk2_0False)(v2_struct_0 esk1_0False)((m2_nattra_1 esk13_0 esk3_0 esk4_0 esk9_0 esk10_0False)False)((m2_nattra_1 esk12_0 esk2_0 esk3_0 esk7_0 esk8_0False)False)((m2_nattra_1 esk11_0 esk1_0 esk2_0 esk5_0 esk6_0False)False)((r2_nattra_1 esk3_0 esk4_0 esk9_0 esk10_0False)False)((r2_nattra_1 esk2_0 esk3_0 esk7_0 esk8_0False)False)((r2_nattra_1 esk1_0 esk2_0 esk5_0 esk6_0False)False)(∀X2 X1, (m1_subset_1 (esk23_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)(∀X2 X1, (m1_subset_1 (esk22_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)(∀X2 X1, (v1_funct_2 (esk22_2 X1 X2) X1 X2False)False)((m2_cat_1 esk10_0 esk3_0 esk4_0False)False)((m2_cat_1 esk9_0 esk3_0 esk4_0False)False)((m2_cat_1 esk8_0 esk2_0 esk3_0False)False)((m2_cat_1 esk7_0 esk2_0 esk3_0False)False)((m2_cat_1 esk6_0 esk1_0 esk2_0False)False)((m2_cat_1 esk5_0 esk1_0 esk2_0False)False)(∀X2 X1, (v5_relat_1 (esk23_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk22_2 X1 X2) X2False)False)(∀X1 X2, (v4_relat_1 (esk23_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk22_2 X1 X2) X1False)False)(∀X1 X2, (v1_funct_1 (esk22_2 X1 X2)False)False)(∀X1 X2, (v1_xboole_0 (esk23_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk23_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk22_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2)False)False)(∀X1, (m1_subset_1 (esk19_1 X1) X1False)False)(∀X1, (r1_tarski X1 X1False)False)((l1_graph_1 esk15_0False)False)((v1_xboole_0 o_0_0_xboole_0False)False)((l5_struct_0 esk26_0False)False)((l5_struct_0 esk17_0False)False)((l1_struct_0 esk16_0False)False)((l1_cat_1 esk27_0False)False)((l1_cat_1 esk14_0False)False)((l1_cat_1 esk4_0False)False)((l1_cat_1 esk3_0False)False)((l1_cat_1 esk2_0False)False)((l1_cat_1 esk1_0False)False)((v6_cat_1 esk4_0False)False)((v6_cat_1 esk3_0False)False)((v6_cat_1 esk2_0False)False)((v6_cat_1 esk1_0False)False)((v5_cat_1 esk4_0False)False)((v5_cat_1 esk3_0False)False)((v5_cat_1 esk2_0False)False)((v5_cat_1 esk1_0False)False)((v4_cat_1 esk4_0False)False)((v4_cat_1 esk3_0False)False)((v4_cat_1 esk2_0False)False)((v4_cat_1 esk1_0False)False)((v3_cat_1 esk4_0False)False)((v3_cat_1 esk3_0False)False)((v3_cat_1 esk2_0False)False)((v3_cat_1 esk1_0False)False)((v2_cat_1 esk4_0False)False)((v2_cat_1 esk3_0False)False)((v2_cat_1 esk2_0False)False)((v2_cat_1 esk1_0False)False)((o_0_0_xboole_0 = k1_xboole_0False)False)False
Proof:
The rest of the proof is missing.