Theorem. (t4_bvfunc14)
∀k3_setfam_1 : setsetset, ∀k3_xboole_0 : setsetset, ∀esk25_4 : setsetsetsetset, ∀esk26_4 : setsetsetsetset, ∀k4_funct_4 : setsetsetsetset, ∀v4_relat_1 : setsetprop, ∀k6_subset_1 : setsetset, ∀esk30_3 : setsetsetset, ∀esk11_3 : setsetsetset, ∀esk12_3 : setsetsetset, ∀esk17_3 : setsetsetset, ∀k4_bvfunc_2 : setsetset, ∀k7_subset_1 : setsetsetset, ∀k5_bvfunc_2 : setsetsetset, ∀esk22_2 : setsetset, ∀k5_setfam_1 : setsetset, ∀esk23_2 : setsetset, ∀r1_xboole_0 : setsetprop, ∀esk14_2 : setsetset, ∀esk15_2 : setsetset, ∀k2_partit1 : setsetsetset, ∀esk19_2 : setsetset, ∀esk16_2 : setsetset, ∀r1_tarski : setsetprop, ∀esk21_2 : setsetset, ∀k3_tarski : setset, ∀v1_subset_1 : setsetprop, ∀esk43_1 : setset, ∀esk42_1 : setset, ∀esk41_1 : setset, ∀esk39_0 : set, ∀esk33_1 : setset, ∀esk31_1 : setset, ∀esk36_0 : set, ∀esk34_0 : set, ∀esk32_1 : setset, ∀v1_eqrel_1 : setsetprop, ∀esk38_1 : setset, ∀esk40_1 : setset, ∀esk1_0 : set, ∀esk4_0 : set, ∀esk5_0 : set, ∀esk3_0 : set, ∀esk2_0 : set, ∀esk37_1 : setset, ∀v2_funcop_1 : setprop, ∀v1_setfam_1 : setprop, ∀esk35_1 : setset, ∀v1_funcop_1 : setprop, ∀k2_xboole_0 : setsetset, ∀k6_setfam_1 : setsetset, ∀esk20_2 : setsetset, ∀k1_tarski : setset, ∀esk18_3 : setsetsetset, ∀esk13_3 : setsetsetset, ∀k1_setfam_1 : setset, ∀esk27_3 : setsetsetset, ∀esk28_3 : setsetsetset, ∀esk29_3 : setsetsetset, ∀k1_enumset1 : setsetsetset, ∀esk24_3 : setsetsetset, ∀esk7_4 : setsetsetsetset, ∀esk6_4 : setsetsetsetset, ∀esk9_3 : setsetsetset, ∀esk10_5 : setsetsetsetsetset, ∀v1_xboole_0 : setprop, ∀k9_xtuple_0 : setset, ∀k8_setfam_1 : setsetset, ∀v1_relat_1 : setprop, ∀m1_eqrel_1 : setsetprop, ∀esk8_6 : setsetsetsetsetsetset, ∀k1_funct_1 : setsetset, ∀k1_bvfunc_2 : setset, ∀m1_subset_1 : setsetprop, ∀k1_zfmisc_1 : setset, ∀v1_funct_1 : setprop, ∀k2_bvfunc_2 : setsetset, ∀k10_xtuple_0 : setset, ∀r2_hidden : setsetprop, ∀k1_xboole_0 : set, (∀X2 X3 X1 X6 X4 X5, (X5 = k1_xboole_0False)(v1_xboole_0 X2False)(r2_hidden X5 X4False)(k9_xtuple_0 X1) = X3(k10_xtuple_0 X1) = X6X5 = (k8_setfam_1 X2 X6)X4 = (k2_bvfunc_2 X2 X3)v1_relat_1 X1v1_funct_1 X1m1_eqrel_1 X4 X2m1_subset_1 X6 (k1_zfmisc_1 (k1_zfmisc_1 X2))m1_subset_1 X3 (k1_zfmisc_1 (k1_bvfunc_2 X2))r2_hidden (k1_funct_1 X1 (esk8_6 X2 X3 X4 X5 X1 X6)) (esk8_6 X2 X3 X4 X5 X1 X6)False)(∀X1 X2 X5 X6 X3 X4, (X4 = k1_xboole_0False)(v1_xboole_0 X1False)(r2_hidden X4 X3False)(r2_hidden (esk8_6 X1 X2 X3 X4 X5 X6) X2False)(k9_xtuple_0 X5) = X2(k10_xtuple_0 X5) = X6X4 = (k8_setfam_1 X1 X6)X3 = (k2_bvfunc_2 X1 X2)v1_relat_1 X5v1_funct_1 X5m1_eqrel_1 X3 X1m1_subset_1 X6 (k1_zfmisc_1 (k1_zfmisc_1 X1))m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))False)(∀X1 X5 X2 X3 X4, (X4 = (k2_bvfunc_2 X2 X3)False)((esk9_3 X2 X3 X4) = k1_xboole_0False)(v1_xboole_0 X2False)(k9_xtuple_0 X1) = X3(k10_xtuple_0 X1) = X5(esk9_3 X2 X3 X4) = (k8_setfam_1 X2 X5)v1_relat_1 X1v1_funct_1 X1m1_eqrel_1 X4 X2m1_subset_1 X5 (k1_zfmisc_1 (k1_zfmisc_1 X2))m1_subset_1 X3 (k1_zfmisc_1 (k1_bvfunc_2 X2))r2_hidden (esk9_3 X2 X3 X4) X4r2_hidden (k1_funct_1 X1 (esk10_5 X2 X3 X4 X1 X5)) (esk10_5 X2 X3 X4 X1 X5)False)(∀X4 X5 X1 X2 X3, (X3 = (k2_bvfunc_2 X1 X2)False)((esk9_3 X1 X2 X3) = k1_xboole_0False)(v1_xboole_0 X1False)(r2_hidden (esk10_5 X1 X2 X3 X4 X5) X2False)(k9_xtuple_0 X4) = X2(k10_xtuple_0 X4) = X5(esk9_3 X1 X2 X3) = (k8_setfam_1 X1 X5)v1_relat_1 X4v1_funct_1 X4m1_eqrel_1 X3 X1m1_subset_1 X5 (k1_zfmisc_1 (k1_zfmisc_1 X1))m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))r2_hidden (esk9_3 X1 X2 X3) X3False)(∀X4 X2 X5 X1 X3, (v1_xboole_0 X3False)(r2_hidden (k1_funct_1 (esk6_4 X3 X2 X4 X5) X1) X1False)X4 = (k2_bvfunc_2 X3 X2)m1_eqrel_1 X4 X3r2_hidden X5 X4r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X3))False)(∀X3 X2 X4 X1, ((k3_xboole_0 (esk25_4 X2 X3 X4 X1) (esk26_4 X2 X3 X4 X1)) = X1False)X4 = (k3_setfam_1 X2 X3)r2_hidden X1 X4False)(∀X3 X2 X4 X1, ((k10_xtuple_0 (esk6_4 X1 X2 X3 X4)) = (esk7_4 X1 X2 X3 X4)False)(v1_xboole_0 X1False)X3 = (k2_bvfunc_2 X1 X2)m1_eqrel_1 X3 X1r2_hidden X4 X3m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))False)(∀X3 X2 X4 X1, (v1_xboole_0 X1False)(m1_subset_1 (esk7_4 X1 X2 X3 X4) (k1_zfmisc_1 (k1_zfmisc_1 X1))False)X3 = (k2_bvfunc_2 X1 X2)m1_eqrel_1 X3 X1r2_hidden X4 X3m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))False)(∀X4 X3 X1 X2, ((k8_setfam_1 X2 (esk7_4 X2 X3 X4 X1)) = X1False)(v1_xboole_0 X2False)X4 = (k2_bvfunc_2 X2 X3)m1_eqrel_1 X4 X2r2_hidden X1 X4m1_subset_1 X3 (k1_zfmisc_1 (k1_bvfunc_2 X2))False)(∀X3 X2 X4 X1, ((k9_xtuple_0 (esk6_4 X1 X2 X3 X4)) = X2False)(v1_xboole_0 X1False)X3 = (k2_bvfunc_2 X1 X2)m1_eqrel_1 X3 X1r2_hidden X4 X3m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))False)(∀X3 X2 X4 X1, (v1_xboole_0 X1False)(v1_funct_1 (esk6_4 X1 X2 X3 X4)False)X3 = (k2_bvfunc_2 X1 X2)m1_eqrel_1 X3 X1r2_hidden X4 X3m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))False)(∀X3 X2 X4 X1, (v1_xboole_0 X1False)(v1_relat_1 (esk6_4 X1 X2 X3 X4)False)X3 = (k2_bvfunc_2 X1 X2)m1_eqrel_1 X3 X1r2_hidden X4 X3m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))False)(∀X1 X3 X2, (X3 = (k3_xboole_0 X1 X2)False)r2_hidden (esk24_3 X1 X2 X3) X3r2_hidden (esk24_3 X1 X2 X3) X2r2_hidden (esk24_3 X1 X2 X3) X1False)(∀X2 X3 X5 X4 X1, (v1_xboole_0 X1False)(v4_relat_1 (k4_funct_4 X2 X3 X4 X5) X1False)m1_subset_1 X3 X1m1_subset_1 X2 X1False)(∀X2 X1 X3 X4, (r2_hidden (esk26_4 X1 X2 X3 X4) X2False)X3 = (k3_setfam_1 X1 X2)r2_hidden X4 X3False)(∀X2 X1 X3 X4, (r2_hidden (esk25_4 X1 X2 X3 X4) X1False)X3 = (k3_setfam_1 X1 X2)r2_hidden X4 X3False)(∀X3 X4 X1 X2, (X1 = X2False)((k10_xtuple_0 (k4_funct_4 X1 X2 X3 X4)) = (k1_enumset1 X3 X3 X4)False)False)(∀X1 X3 X2, (X3 = (k6_subset_1 X1 X2)False)(r2_hidden (esk30_3 X1 X2 X3) X2False)r2_hidden (esk30_3 X1 X2 X3) X3r2_hidden (esk30_3 X1 X2 X3) X1False)(∀X4 X3 X1 X2, (X1 = X2False)((k1_funct_1 (k4_funct_4 X1 X2 X3 X4) X1) = X3False)False)(∀X1 X3 X2 X4, (X4 = (k2_bvfunc_2 X3 X2)False)(v1_xboole_0 X3False)(r2_hidden (esk9_3 X3 X2 X4) X4False)(r2_hidden (k1_funct_1 (esk11_3 X3 X2 X4) X1) X1False)m1_eqrel_1 X4 X3r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X3))False)(∀X3 X2 X1, (X3 = (k3_setfam_1 X1 X2)False)((k3_xboole_0 (esk28_3 X1 X2 X3) (esk29_3 X1 X2 X3)) = (esk27_3 X1 X2 X3)False)(r2_hidden (esk27_3 X1 X2 X3) X3False)False)(∀X2 X3 X1, (X3 = (k2_bvfunc_2 X1 X2)False)((k8_setfam_1 X1 (esk12_3 X1 X2 X3)) = (esk9_3 X1 X2 X3)False)(v1_xboole_0 X1False)(r2_hidden (esk9_3 X1 X2 X3) X3False)m1_eqrel_1 X3 X1m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))False)(∀X2 X3 X1, (X3 = (k2_bvfunc_2 X1 X2)False)((k10_xtuple_0 (esk11_3 X1 X2 X3)) = (esk12_3 X1 X2 X3)False)(v1_xboole_0 X1False)(r2_hidden (esk9_3 X1 X2 X3) X3False)m1_eqrel_1 X3 X1m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))False)(∀X5 X4 X1 X2 X3, (X3 = (k3_setfam_1 X1 X2)False)(esk27_3 X1 X2 X3) = (k3_xboole_0 X4 X5)r2_hidden X5 X2r2_hidden X4 X1r2_hidden (esk27_3 X1 X2 X3) X3False)(∀X2 X3 X1, (X3 = (k2_bvfunc_2 X1 X2)False)(v1_xboole_0 X1False)(r2_hidden (esk9_3 X1 X2 X3) X3False)(m1_subset_1 (esk12_3 X1 X2 X3) (k1_zfmisc_1 (k1_zfmisc_1 X1))False)m1_eqrel_1 X3 X1m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))False)(∀X3 X2 X1, (X3 = (k1_enumset1 X1 X1 X2)False)(esk17_3 X1 X2 X3) = X1r2_hidden (esk17_3 X1 X2 X3) X3False)(∀X3 X2 X1, (X3 = (k1_enumset1 X1 X1 X2)False)(esk17_3 X1 X2 X3) = X2r2_hidden (esk17_3 X1 X2 X3) X3False)(∀X2 X3 X1, (X3 = (k2_bvfunc_2 X1 X2)False)((k9_xtuple_0 (esk11_3 X1 X2 X3)) = X2False)(v1_xboole_0 X1False)(r2_hidden (esk9_3 X1 X2 X3) X3False)m1_eqrel_1 X3 X1m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))False)(∀X2 X3 X1, (X3 = (k6_subset_1 X1 X2)False)(r2_hidden (esk30_3 X1 X2 X3) X3False)r2_hidden (esk30_3 X1 X2 X3) X2False)(∀X2 X3 X1, (X3 = (k2_bvfunc_2 X1 X2)False)(v1_xboole_0 X1False)(v1_funct_1 (esk11_3 X1 X2 X3)False)(r2_hidden (esk9_3 X1 X2 X3) X3False)m1_eqrel_1 X3 X1m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))False)(∀X2 X3 X1, (X3 = (k2_bvfunc_2 X1 X2)False)(v1_xboole_0 X1False)(v1_relat_1 (esk11_3 X1 X2 X3)False)(r2_hidden (esk9_3 X1 X2 X3) X3False)m1_eqrel_1 X3 X1m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))False)(∀X3 X2 X1, ((k2_bvfunc_2 X1 (k7_subset_1 (k1_bvfunc_2 X1) X3 (k4_bvfunc_2 X1 X2))) = (k5_bvfunc_2 X1 X2 X3)False)(v1_xboole_0 X1False)m1_eqrel_1 X2 X1m1_subset_1 X3 (k1_zfmisc_1 (k1_bvfunc_2 X1))False)(∀X2 X3 X1, (X3 = (k2_bvfunc_2 X1 X2)False)(v1_xboole_0 X1False)(r2_hidden (esk9_3 X1 X2 X3) X3False)(esk9_3 X1 X2 X3) = k1_xboole_0m1_eqrel_1 X3 X1m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))False)(∀X3 X2 X1, (k6_subset_1 (k1_enumset1 X1 X1 X3) X2) = (k1_enumset1 X1 X1 X3)r2_hidden X1 X2False)(∀X3 X2 X1, (k6_subset_1 (k1_enumset1 X3 X3 X1) X2) = (k1_enumset1 X3 X3 X1)r2_hidden X1 X2False)(∀X3 X2 X1, (X3 = (k1_enumset1 X1 X1 X2)False)((esk17_3 X1 X2 X3) = X2False)((esk17_3 X1 X2 X3) = X1False)(r2_hidden (esk17_3 X1 X2 X3) X3False)False)(∀X1 X3 X2, (X3 = (k6_subset_1 X1 X2)False)(r2_hidden (esk30_3 X1 X2 X3) X3False)(r2_hidden (esk30_3 X1 X2 X3) X1False)False)(∀X1 X3 X2, (X3 = (k3_xboole_0 X1 X2)False)(r2_hidden (esk24_3 X1 X2 X3) X3False)(r2_hidden (esk24_3 X1 X2 X3) X1False)False)(∀X2 X3 X1, (X3 = (k3_xboole_0 X1 X2)False)(r2_hidden (esk24_3 X1 X2 X3) X3False)(r2_hidden (esk24_3 X1 X2 X3) X2False)False)(∀X2 X3 X1, (X3 = (k3_setfam_1 X1 X2)False)(r2_hidden (esk27_3 X1 X2 X3) X3False)(r2_hidden (esk29_3 X1 X2 X3) X2False)False)(∀X1 X3 X2, (X3 = (k3_setfam_1 X1 X2)False)(r2_hidden (esk27_3 X1 X2 X3) X3False)(r2_hidden (esk28_3 X1 X2 X3) X1False)False)(∀X1 X2 X3 X4, (X3 = X4False)((k5_bvfunc_2 X1 X3 X2) = X4False)(v1_xboole_0 X1False)X2 = (k1_enumset1 X3 X3 X4)m1_eqrel_1 X4 X1m1_eqrel_1 X3 X1m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))False)(∀X3 X1 X2, (X2 = k1_xboole_0False)(r2_hidden X1 X3False)X3 = (k1_setfam_1 X2)r2_hidden X1 (esk13_3 X2 X3 X1)False)(∀X1 X2, ((esk22_2 X1 X2) = k1_xboole_0False)(m1_eqrel_1 X2 X1False)(k5_setfam_1 X1 X2) = X1m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1))r1_xboole_0 (esk22_2 X1 X2) (esk23_2 X1 X2)False)(∀X3 X2 X1, ((k6_subset_1 (k1_enumset1 X1 X1 X3) X2) = (k1_enumset1 X1 X1 X3)False)(r2_hidden X3 X2False)(r2_hidden X1 X2False)False)(∀X3 X2 X1 X4, (X1 = X4False)(r1_xboole_0 X4 X1False)m1_eqrel_1 X3 X2r2_hidden X4 X3r2_hidden X1 X3m1_subset_1 X4 (k1_zfmisc_1 X2)m1_subset_1 X1 (k1_zfmisc_1 X2)m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X2))False)(∀X3 X2 X1, (v1_xboole_0 X1False)(m1_eqrel_1 (k5_bvfunc_2 X1 X2 X3) X1False)m1_eqrel_1 X2 X1m1_subset_1 X3 (k1_zfmisc_1 (k1_bvfunc_2 X1))False)(∀X2 X1, (X1 = k1_xboole_0False)(X2 = (k1_setfam_1 X1)False)r2_hidden (esk14_2 X1 X2) X2r2_hidden (esk14_2 X1 X2) (esk15_2 X1 X2)False)(∀X3 X2 X1, (r2_hidden (esk18_3 X1 X2 X3) (k9_xtuple_0 X1)False)X2 = (k10_xtuple_0 X1)v1_relat_1 X1v1_funct_1 X1r2_hidden X3 X2False)(∀X2 X3 X1, (v1_xboole_0 X1False)(m1_eqrel_1 (k2_partit1 X1 X2 X3) X1False)m1_eqrel_1 X3 X1m1_eqrel_1 X2 X1False)(∀X1 X3 X2, ((k1_funct_1 X2 (esk18_3 X2 X3 X1)) = X1False)X3 = (k10_xtuple_0 X2)v1_relat_1 X2v1_funct_1 X2r2_hidden X1 X3False)(∀X3 X2 X1, (X2 = (k10_xtuple_0 X1)False)(esk19_2 X1 X2) = (k1_funct_1 X1 X3)v1_relat_1 X1v1_funct_1 X1r2_hidden X3 (k9_xtuple_0 X1)r2_hidden (esk19_2 X1 X2) X2False)(∀X3 X2 X1, (m1_subset_1 (k7_subset_1 X2 X1 X3) (k1_zfmisc_1 X2)False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X3 X1, ((k2_partit1 X1 X2 X3) = (k2_partit1 X1 X3 X2)False)(v1_xboole_0 X1False)m1_eqrel_1 X3 X1m1_eqrel_1 X2 X1False)(∀X1 X2, ((esk22_2 X1 X2) = k1_xboole_0False)(m1_eqrel_1 X2 X1False)(m1_subset_1 (esk23_2 X1 X2) (k1_zfmisc_1 X1)False)(k5_setfam_1 X1 X2) = X1m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1))False)(∀X1 X2, ((esk22_2 X1 X2) = k1_xboole_0False)(m1_eqrel_1 X2 X1False)(k5_setfam_1 X1 X2) = X1(esk23_2 X1 X2) = (esk22_2 X1 X2)m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1))False)(∀X2 X3 X1, ((k2_partit1 X1 X2 X3) = (k6_subset_1 (k3_setfam_1 X2 X3) (k1_tarski k1_xboole_0))False)(v1_xboole_0 X1False)m1_eqrel_1 X3 X1m1_eqrel_1 X2 X1False)(∀X2 X3 X1, (X1 = k1_xboole_0False)(r2_hidden X3 X2False)(r2_hidden (esk13_3 X1 X2 X3) X1False)X2 = (k1_setfam_1 X1)False)(∀X1 X2, ((esk22_2 X1 X2) = k1_xboole_0False)(m1_eqrel_1 X2 X1False)(r2_hidden (esk23_2 X1 X2) X2False)(k5_setfam_1 X1 X2) = X1m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1))False)(∀X1 X2, (m1_eqrel_1 X2 X1False)(m1_subset_1 (esk22_2 X1 X2) (k1_zfmisc_1 X1)False)(k5_setfam_1 X1 X2) = X1m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1))False)(∀X3 X2 X1, X1 = k1_xboole_0m1_eqrel_1 X2 X3r2_hidden X1 X2m1_subset_1 X1 (k1_zfmisc_1 X3)m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X3))False)(∀X1 X2, (m1_eqrel_1 X2 X1False)(r2_hidden (esk22_2 X1 X2) X2False)(k5_setfam_1 X1 X2) = X1m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1))False)(∀X1 X4 X2 X3, (v1_xboole_0 X3False)X1 = k1_xboole_0X2 = (k2_bvfunc_2 X3 X4)m1_eqrel_1 X2 X3r2_hidden X1 X2m1_subset_1 X4 (k1_zfmisc_1 (k1_bvfunc_2 X3))False)(∀X3 X2 X1 X4, (X1 = X4False)(X1 = X3False)X2 = (k1_enumset1 X3 X3 X4)r2_hidden X1 X2False)(∀X2 X1, (X2 = (k10_xtuple_0 X1)False)((k1_funct_1 X1 (esk20_2 X1 X2)) = (esk19_2 X1 X2)False)(r2_hidden (esk19_2 X1 X2) X2False)v1_relat_1 X1v1_funct_1 X1False)(∀X2 X1, (X1 = k1_xboole_0False)(X2 = (k1_setfam_1 X1)False)(r2_hidden (esk15_2 X1 X2) X1False)r2_hidden (esk14_2 X1 X2) X2False)(∀X2 X3 X1, (X1 = k1_xboole_0False)(X2 = (k1_setfam_1 X1)False)(r2_hidden (esk14_2 X1 X2) X3False)(r2_hidden (esk14_2 X1 X2) X2False)r2_hidden X3 X1False)(∀X4 X2 X1 X3 X5 X6, (r2_hidden X5 X6False)X6 = (k3_setfam_1 X2 X4)X5 = (k3_xboole_0 X1 X3)r2_hidden X3 X4r2_hidden X1 X2False)(∀X2 X1, (X2 = (k10_xtuple_0 X1)False)(r2_hidden (esk19_2 X1 X2) X2False)(r2_hidden (esk20_2 X1 X2) (k9_xtuple_0 X1)False)v1_relat_1 X1v1_funct_1 X1False)(∀X2 X4 X1 X3, (r2_hidden X1 X3False)X1 = X2X3 = (k1_enumset1 X2 X2 X4)False)(∀X2 X4 X1 X3, (r2_hidden X1 X3False)X1 = X2X3 = (k1_enumset1 X4 X4 X2)False)(∀X3 X2 X1, ((k7_subset_1 X2 X1 X3) = (k6_subset_1 X1 X3)False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1, (m1_subset_1 (k6_setfam_1 X2 X1) (k1_zfmisc_1 X2)False)m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2))False)(∀X2 X1, (m1_subset_1 (k5_setfam_1 X2 X1) (k1_zfmisc_1 X2)False)m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2))False)(∀X2 X1, (m1_subset_1 (k8_setfam_1 X2 X1) (k1_zfmisc_1 X2)False)m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2))False)(∀X2 X1, (v1_xboole_0 X1False)(m1_eqrel_1 (k2_bvfunc_2 X1 X2) X1False)m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))False)(∀X2 X1 X3 X4, (r2_hidden X3 X4False)X4 = (k10_xtuple_0 X2)X3 = (k1_funct_1 X2 X1)v1_relat_1 X2v1_funct_1 X2r2_hidden X1 (k9_xtuple_0 X2)False)(∀X2 X1, (X2 = (k1_tarski X1)False)(esk16_2 X1 X2) = X1r2_hidden (esk16_2 X1 X2) X2False)(∀X1 X2, ((k5_setfam_1 X1 X2) = X1False)m1_eqrel_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1))False)(∀X2 X1, (v1_xboole_0 X1False)(m1_subset_1 (k4_bvfunc_2 X1 X2) (k1_zfmisc_1 (k1_bvfunc_2 X1))False)m1_eqrel_1 X2 X1False)(∀X2 X3 X1 X4, (r2_hidden X1 X4False)X4 = (k3_xboole_0 X2 X3)r2_hidden X1 X3r2_hidden X1 X2False)(∀X2 X1, ((k2_partit1 X1 X2 X2) = X2False)(v1_xboole_0 X1False)m1_eqrel_1 X2 X1False)(∀X2 X1, (X1 = k1_xboole_0False)((k8_setfam_1 X2 X1) = (k6_setfam_1 X2 X1)False)m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2))False)(∀X2 X1, (r1_tarski X1 X2False)r2_hidden (esk21_2 X1 X2) X2False)(∀X3 X2 X1 X4, (r2_hidden X1 X4False)(r2_hidden X1 X3False)X4 = (k6_subset_1 X2 X3)r2_hidden X1 X2False)(∀X3 X1 X2 X4, (X4 = k1_xboole_0False)(r2_hidden X1 X3False)X2 = (k1_setfam_1 X4)r2_hidden X3 X4r2_hidden X1 X2False)(∀X2 X1, ((k6_setfam_1 X2 X1) = (k1_setfam_1 X1)False)m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2))False)(∀X2 X1, ((k5_setfam_1 X2 X1) = (k3_tarski X1)False)m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2))False)(∀X2 X1 X3, (m1_subset_1 X1 X3False)r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X4 X3 X2 X1, X3 = (k6_subset_1 X4 X2)r2_hidden X1 X3r2_hidden X1 X2False)(∀X2 X1, ((k8_setfam_1 X2 X1) = X2False)X1 = k1_xboole_0m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2))False)(∀X2 X1, v1_xboole_0 X1v1_subset_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1 X3, v1_xboole_0 X3r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X3 X4 X1 X2, (r2_hidden X1 X2False)X3 = (k6_subset_1 X2 X4)r2_hidden X1 X3False)(∀X3 X4 X1 X2, (r2_hidden X1 X2False)X3 = (k3_xboole_0 X2 X4)r2_hidden X1 X3False)(∀X3 X4 X1 X2, (r2_hidden X1 X2False)X3 = (k3_xboole_0 X4 X2)r2_hidden X1 X3False)(∀X2 X1, (X2 = (k1_tarski X1)False)((esk16_2 X1 X2) = X1False)(r2_hidden (esk16_2 X1 X2) X2False)False)(∀X1 X3 X2, (r2_hidden X3 X2False)r2_hidden X3 X1r1_tarski X1 X2False)(∀X2 X1, (v1_xboole_0 X1False)(v1_subset_1 X2 X1False)v1_xboole_0 X2m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1, (v1_xboole_0 X1False)(v1_subset_1 X2 X1False)v1_xboole_0 X2m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2))False)m1_eqrel_1 X1 X2False)(∀X1 X2, (r1_tarski X1 X2False)(r2_hidden (esk21_2 X1 X2) X1False)False)(∀X2 X1, (v1_xboole_0 X1False)v1_xboole_0 (k2_xboole_0 X1 X2)False)(∀X2 X1, (v1_xboole_0 X1False)v1_xboole_0 (k2_xboole_0 X2 X1)False)(∀X2 X1, (v1_funct_1 (k1_funct_1 X1 X2)False)v1_relat_1 X1v1_funct_1 X1v1_funcop_1 X1False)(∀X2 X1, (v1_relat_1 (k1_funct_1 X1 X2)False)v1_relat_1 X1v1_funct_1 X1v1_funcop_1 X1False)(∀X2 X1, (X1 = X2False)r1_tarski X2 X1r1_tarski X1 X2False)(∀X2 X1, (r1_tarski X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1, ((k4_bvfunc_2 X1 X2) = (k1_tarski X2)False)(v1_xboole_0 X1False)m1_eqrel_1 X2 X1False)(∀X2 X1, r2_hidden X2 X1r2_hidden X1 X2False)(∀X1 X2, (v1_xboole_0 X2False)v1_xboole_0 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀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, (r1_xboole_0 X2 X1False)r1_xboole_0 X1 X2False)(∀X2 X1, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀X1 X2, (r1_tarski X1 X2False)(k6_subset_1 X1 X2) = k1_xboole_0False)(∀X2 X1, ((k6_subset_1 X1 X2) = k1_xboole_0False)r1_tarski X1 X2False)(∀X2 X1, (v1_xboole_0 X1False)v1_xboole_0 X2m1_eqrel_1 X2 X1False)(∀X2 X1 X3, (X1 = X3False)X2 = (k1_tarski X3)r2_hidden X1 X2False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk43_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk35_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1 X2, v1_xboole_0 X2r2_hidden X1 X2False)(∀X2 X1, (v1_setfam_1 X1False)m1_eqrel_1 X1 X2False)(∀X2 X1 X3, (r2_hidden X1 X3False)X1 = X2X3 = (k1_tarski X2)False)(∀X1, (v2_funcop_1 X1False)v1_relat_1 X1v1_funct_1 X1v1_funcop_1 X1False)(∀X1, (v1_funcop_1 X1False)v1_xboole_0 X1v1_relat_1 X1v1_funct_1 X1False)(∀X1, (v1_xboole_0 X1False)(v1_subset_1 (esk43_1 X1) X1False)False)(∀X1, (v1_xboole_0 X1False)(m1_eqrel_1 (esk42_1 X1) X1False)False)(∀X1, (v1_xboole_0 X1False)(m1_eqrel_1 (esk37_1 X1) X1False)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk42_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk37_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk35_1 X1)False)(∀X2 X1, (r1_tarski X1 X2False)X1 = X2False)(∀X2 X1, (r1_tarski X1 X2False)X1 = X2False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)(∀X1, (v1_xboole_0 X1False)(v1_setfam_1 (esk42_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(v1_setfam_1 (esk37_1 X1)False)False)(∀X2 X1, (X1 = k1_xboole_0False)X2 = k1_xboole_0X1 = (k1_setfam_1 X2)False)(∀X2 X1, (X1 = (k1_setfam_1 X2)False)X2 = k1_xboole_0X1 = k1_xboole_0False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)(∀X2 X1, v1_xboole_0 (k1_enumset1 X1 X1 X2)False)(∀X3 X2 X1, v1_xboole_0 (k1_enumset1 X1 X2 X3)False)((k5_bvfunc_2 esk1_0 esk3_0 esk2_0) = (k2_partit1 esk1_0 esk4_0 esk5_0)False)(∀X1, v1_subset_1 (esk41_1 X1) X1False)(∀X1, v1_xboole_0 (esk40_1 X1)False)(∀X1, v1_xboole_0 (k1_tarski X1)False)(∀X1, v1_xboole_0 (k1_zfmisc_1 X1)False)(v1_xboole_0 esk39_0False)(v1_xboole_0 esk1_0False)(esk5_0 = esk3_0False)(esk4_0 = esk3_0False)(∀X4 X3 X1 X2, (r1_tarski (k10_xtuple_0 (k4_funct_4 X1 X2 X3 X4)) (k1_enumset1 X3 X3 X4)False)False)(∀X2 X1 X4 X3, ((k9_xtuple_0 (k4_funct_4 X1 X2 X3 X4)) = (k1_enumset1 X1 X1 X2)False)False)(∀X4 X1 X3 X2, ((k1_funct_1 (k4_funct_4 X1 X2 X3 X4) X2) = X4False)False)(∀X2 X3 X4 X1, (v1_funct_1 (k4_funct_4 X1 X2 X3 X4)False)False)(∀X2 X3 X4 X1, (v1_relat_1 (k4_funct_4 X1 X2 X3 X4)False)False)(∀X3 X2 X1, ((k2_xboole_0 (k1_tarski X1) (k1_enumset1 X2 X2 X3)) = (k1_enumset1 X1 X2 X3)False)False)(∀X1 X2, ((k1_enumset1 X1 X1 X2) = (k1_enumset1 X2 X2 X1)False)False)(∀X1 X3 X2, ((k1_enumset1 X1 X2 X3) = (k1_enumset1 X2 X3 X1)False)False)(∀X2 X1 X3, ((k2_xboole_0 (k6_subset_1 X1 X3) (k6_subset_1 X2 X3)) = (k6_subset_1 (k2_xboole_0 X1 X2) X3)False)False)(∀X1, (m1_subset_1 (esk40_1 X1) (k1_zfmisc_1 (k1_zfmisc_1 (k1_zfmisc_1 X1)))False)False)(∀X1, (m1_subset_1 (esk33_1 X1) (k1_zfmisc_1 (k1_zfmisc_1 (k1_zfmisc_1 X1)))False)False)(∀X1, (m1_subset_1 (k1_bvfunc_2 X1) (k1_zfmisc_1 (k1_zfmisc_1 (k1_zfmisc_1 X1)))False)False)(((k1_enumset1 esk3_0 esk4_0 esk5_0) = esk2_0False)False)(∀X1 X2, (m1_subset_1 (k6_subset_1 X1 X2) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (k1_zfmisc_1 X1) (k1_zfmisc_1 (k1_zfmisc_1 X1))False)False)(∀X2 X1, ((k3_xboole_0 X1 X2) = (k3_xboole_0 X2 X1)False)False)(∀X2 X1, ((k3_setfam_1 X1 X2) = (k3_setfam_1 X2 X1)False)False)(∀X2 X1, ((k2_xboole_0 X1 X2) = (k2_xboole_0 X2 X1)False)False)(∀X1, (m1_subset_1 (esk41_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk38_1 X1) (k1_zfmisc_1 X1)False)False)((m1_subset_1 esk2_0 (k1_zfmisc_1 (k1_bvfunc_2 esk1_0))False)False)(∀X1, (v1_eqrel_1 (esk40_1 X1) X1False)False)(∀X1, (v1_eqrel_1 (esk33_1 X1) X1False)False)(∀X1, (v1_eqrel_1 (k1_bvfunc_2 X1) X1False)False)(∀X1, (m1_eqrel_1 (esk31_1 X1) X1False)False)(∀X1, (m1_subset_1 (esk32_1 X1) X1False)False)(∀X1, ((k3_xboole_0 X1 X1) = X1False)False)(∀X1, ((k2_xboole_0 X1 X1) = X1False)False)(∀X1, (r1_tarski X1 X1False)False)(∀X1, ((k6_subset_1 X1 k1_xboole_0) = X1False)False)(∀X1, ((k2_xboole_0 X1 k1_xboole_0) = X1False)False)(∀X1, ((k6_subset_1 k1_xboole_0 X1) = k1_xboole_0False)False)(∀X1, ((k3_xboole_0 X1 k1_xboole_0) = k1_xboole_0False)False)((m1_eqrel_1 esk5_0 esk1_0False)False)((m1_eqrel_1 esk4_0 esk1_0False)False)((m1_eqrel_1 esk3_0 esk1_0False)False)(∀X1, (v1_xboole_0 (esk38_1 X1)False)False)((v1_funcop_1 esk34_0False)False)((v1_funct_1 esk34_0False)False)((v1_relat_1 esk34_0False)False)((v1_xboole_0 esk36_0False)False)((v1_xboole_0 k1_xboole_0False)False)False
Proof:
The rest of the proof is missing.