Theorem. (t37_closure1)
∀r2_pboole : setsetsetprop, ∀v4_mssubfam : setsetsetprop, ∀esk23_5 : setsetsetsetsetset, ∀v2_relat_1 : setprop, ∀v3_closure1 : setsetsetprop, ∀esk6_3 : setsetsetset, ∀v1_funcop_1 : setprop, ∀v6_mssubfam : setsetsetprop, ∀v2_mssubfam : setsetsetprop, ∀v3_mssubfam : setsetsetprop, ∀k3_mssubfam : setsetsetset, ∀esk14_2 : setsetset, ∀esk21_2 : setsetset, ∀esk10_2 : setsetset, ∀esk19_1 : setset, ∀esk17_1 : setset, ∀esk22_1 : setset, ∀esk16_0 : set, ∀esk12_0 : set, ∀esk15_0 : set, ∀esk11_0 : set, ∀esk13_1 : setset, ∀esk18_1 : setset, ∀v2_funcop_1 : setprop, ∀esk8_2 : setsetset, ∀esk20_2 : setsetset, ∀k16_pralg_1 : setsetsetset, ∀v1_mssubfam : setsetsetprop, ∀esk9_3 : setsetsetset, ∀esk7_3 : setsetsetset, ∀k15_pralg_1 : setsetset, ∀esk3_0 : set, ∀esk5_2 : setsetset, ∀esk1_0 : set, ∀esk4_0 : set, ∀esk2_0 : set, ∀esk24_4 : setsetsetsetset, ∀v1_relat_1 : setprop, ∀v4_relat_1 : setsetprop, ∀r1_pboole : setsetsetprop, ∀k1_mboolean : setsetset, ∀m3_pboole : setsetsetprop, ∀m2_pboole : setsetsetsetprop, ∀k4_mssubfam : setsetsetset, ∀esk26_5 : setsetsetsetsetset, ∀esk25_5 : setsetsetsetsetset, ∀m1_pboole : setsetsetprop, ∀k5_mssubfam : setsetset, ∀v5_mssubfam : setsetsetprop, ∀v1_partfun1 : setsetprop, ∀v1_funct_1 : setprop, ∀r6_pboole : setsetsetprop, ∀k2_closure1 : setsetsetsetset, (∀X4 X5 X2 X3 X1, (r6_pboole X1 (k2_closure1 X1 X2 X3 X5) X5False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1r1_pboole X1 X5 X4v5_mssubfam X4 X1 X2m3_pboole X4 X1 (k1_mboolean X1 X2)m1_pboole X5 X1 (k5_mssubfam X1 X2)m2_pboole X3 X1 (k5_mssubfam X1 X2) (k5_mssubfam X1 X2)r6_pboole X1 (k2_closure1 X1 X2 X3 (esk25_5 X1 X2 X4 X5 X3)) (k4_mssubfam X1 X2 (esk26_5 X1 X2 X4 X5 X3))False)(∀X2 X4 X3 X5 X1, (r2_pboole X1 X5 X3False)v1_relat_1 X2v1_funct_1 X2v2_relat_1 X5v4_relat_1 X2 X1v1_partfun1 X2 X1v4_mssubfam X3 X1 X2m3_pboole X5 X1 (k1_mboolean X1 X2)m3_pboole X3 X1 (k1_mboolean X1 X2)m1_pboole X4 X1 (k5_mssubfam X1 X2)r2_pboole X1 X4 (esk23_5 X1 X2 X3 X4 X5)r1_pboole X1 (esk23_5 X1 X2 X3 X4 X5) X5r1_pboole X1 (esk23_5 X1 X2 X3 X4 X5) X3False)(∀X3 X2 X5 X4 X6 X1, (r6_pboole X1 (k2_closure1 X1 X4 X6 X5) X5False)(r1_pboole X1 X2 (esk26_5 X1 X4 X3 X5 X6)False)v1_relat_1 X4v1_relat_1 X2v1_funct_1 X4v1_funct_1 X2v4_relat_1 X4 X1v4_relat_1 X2 X1v1_partfun1 X4 X1v1_partfun1 X2 X1r1_pboole X1 X5 X3r1_pboole X1 X2 X3v5_mssubfam X3 X1 X4m3_pboole X3 X1 (k1_mboolean X1 X4)m1_pboole X5 X1 (k5_mssubfam X1 X4)r2_pboole X1 (esk25_5 X1 X4 X3 X5 X6) X2m2_pboole X6 X1 (k5_mssubfam X1 X4) (k5_mssubfam X1 X4)False)(∀X6 X3 X4 X2 X5 X1, (r6_pboole X1 (k2_closure1 X1 X2 X5 X4) X4False)(r2_pboole X1 (esk25_5 X1 X2 X3 X4 X5) X6False)v1_relat_1 X6v1_relat_1 X2v1_funct_1 X6v1_funct_1 X2v4_relat_1 X6 X1v4_relat_1 X2 X1v1_partfun1 X6 X1v1_partfun1 X2 X1r1_pboole X1 X4 X3v5_mssubfam X3 X1 X2m3_pboole X3 X1 (k1_mboolean X1 X2)m1_pboole X4 X1 (k5_mssubfam X1 X2)r1_pboole X1 X6 (esk26_5 X1 X2 X3 X4 X5)m2_pboole X5 X1 (k5_mssubfam X1 X2) (k5_mssubfam X1 X2)False)(∀X2 X4 X3 X5 X1, (r2_pboole X1 X5 X3False)(r1_pboole X1 (esk23_5 X1 X2 X3 X4 X5) X5False)(r1_pboole X1 (esk23_5 X1 X2 X3 X4 X5) X3False)v1_relat_1 X2v1_funct_1 X2v2_relat_1 X5v4_relat_1 X2 X1v1_partfun1 X2 X1v4_mssubfam X3 X1 X2m3_pboole X5 X1 (k1_mboolean X1 X2)m3_pboole X3 X1 (k1_mboolean X1 X2)m1_pboole X4 X1 (k5_mssubfam X1 X2)False)(∀X3 X2 X4 X5 X1, (r2_pboole X1 X5 X4False)(r2_pboole X1 X2 (esk23_5 X1 X3 X4 X2 X5)False)(r1_pboole X1 (esk23_5 X1 X3 X4 X2 X5) X5False)v1_relat_1 X3v1_funct_1 X3v2_relat_1 X5v4_relat_1 X3 X1v1_partfun1 X3 X1v4_mssubfam X4 X1 X3m3_pboole X5 X1 (k1_mboolean X1 X3)m3_pboole X4 X1 (k1_mboolean X1 X3)m1_pboole X2 X1 (k5_mssubfam X1 X3)False)(∀X6 X4 X5 X3 X2 X1, (r1_pboole X1 X2 X3False)(r6_pboole X1 (k2_closure1 X1 X4 X6 X5) X5False)v1_relat_1 X4v1_relat_1 X2v1_funct_1 X4v1_funct_1 X2v4_relat_1 X4 X1v4_relat_1 X2 X1v1_partfun1 X4 X1v1_partfun1 X2 X1r1_pboole X1 X5 X3v5_mssubfam X3 X1 X4m3_pboole X3 X1 (k1_mboolean X1 X4)m1_pboole X5 X1 (k5_mssubfam X1 X4)r1_pboole X1 X2 (esk26_5 X1 X4 X3 X5 X6)m2_pboole X6 X1 (k5_mssubfam X1 X4) (k5_mssubfam X1 X4)False)(∀X3 X1 X2, (v3_closure1 X3 X1 X2False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1m2_pboole X3 X1 (k5_mssubfam X1 X2) (k5_mssubfam X1 X2)r6_pboole X1 (k2_closure1 X1 X2 X3 (esk6_3 X1 X2 X3)) (k2_closure1 X1 X2 X3 (k2_closure1 X1 X2 X3 (esk6_3 X1 X2 X3)))False)(∀X3 X4 X2 X5 X1, (r6_pboole X1 (k2_closure1 X1 X2 X5 X4) X4False)(m1_pboole (esk25_5 X1 X2 X3 X4 X5) X1 (k5_mssubfam X1 X2)False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1r1_pboole X1 X4 X3v5_mssubfam X3 X1 X2m3_pboole X3 X1 (k1_mboolean X1 X2)m1_pboole X4 X1 (k5_mssubfam X1 X2)m2_pboole X5 X1 (k5_mssubfam X1 X2) (k5_mssubfam X1 X2)False)(∀X3 X4 X2 X5 X1, (r6_pboole X1 (k2_closure1 X1 X2 X5 X4) X4False)(m3_pboole (esk26_5 X1 X2 X3 X4 X5) X1 (k1_mboolean X1 X2)False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1r1_pboole X1 X4 X3v5_mssubfam X3 X1 X2m3_pboole X3 X1 (k1_mboolean X1 X2)m1_pboole X4 X1 (k5_mssubfam X1 X2)m2_pboole X5 X1 (k5_mssubfam X1 X2) (k5_mssubfam X1 X2)False)(∀X3 X4 X2 X5 X1, (v2_relat_1 (esk26_5 X1 X2 X3 X4 X5)False)(r6_pboole X1 (k2_closure1 X1 X2 X5 X4) X4False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1r1_pboole X1 X4 X3v5_mssubfam X3 X1 X2m3_pboole X3 X1 (k1_mboolean X1 X2)m1_pboole X4 X1 (k5_mssubfam X1 X2)m2_pboole X5 X1 (k5_mssubfam X1 X2) (k5_mssubfam X1 X2)False)(∀X2 X4 X3 X5 X1, (r2_pboole X1 X5 X3False)(v1_partfun1 (esk23_5 X1 X2 X3 X4 X5) X1False)v1_relat_1 X2v1_funct_1 X2v2_relat_1 X5v4_relat_1 X2 X1v1_partfun1 X2 X1v4_mssubfam X3 X1 X2m3_pboole X5 X1 (k1_mboolean X1 X2)m3_pboole X3 X1 (k1_mboolean X1 X2)m1_pboole X4 X1 (k5_mssubfam X1 X2)False)(∀X2 X4 X3 X5 X1, (r2_pboole X1 X5 X3False)(v4_relat_1 (esk23_5 X1 X2 X3 X4 X5) X1False)v1_relat_1 X2v1_funct_1 X2v2_relat_1 X5v4_relat_1 X2 X1v1_partfun1 X2 X1v4_mssubfam X3 X1 X2m3_pboole X5 X1 (k1_mboolean X1 X2)m3_pboole X3 X1 (k1_mboolean X1 X2)m1_pboole X4 X1 (k5_mssubfam X1 X2)False)(∀X2 X4 X3 X5 X1, (r2_pboole X1 X5 X3False)(v1_funct_1 (esk23_5 X1 X2 X3 X4 X5)False)v1_relat_1 X2v1_funct_1 X2v2_relat_1 X5v4_relat_1 X2 X1v1_partfun1 X2 X1v4_mssubfam X3 X1 X2m3_pboole X5 X1 (k1_mboolean X1 X2)m3_pboole X3 X1 (k1_mboolean X1 X2)m1_pboole X4 X1 (k5_mssubfam X1 X2)False)(∀X2 X4 X3 X5 X1, (r2_pboole X1 X5 X3False)(v1_relat_1 (esk23_5 X1 X2 X3 X4 X5)False)v1_relat_1 X2v1_funct_1 X2v2_relat_1 X5v4_relat_1 X2 X1v1_partfun1 X2 X1v4_mssubfam X3 X1 X2m3_pboole X5 X1 (k1_mboolean X1 X2)m3_pboole X3 X1 (k1_mboolean X1 X2)m1_pboole X4 X1 (k5_mssubfam X1 X2)False)(∀X4 X1 X2 X3, (r6_pboole X2 (k2_closure1 X2 X3 X1 X4) (k2_closure1 X2 X3 X1 (k2_closure1 X2 X3 X1 X4))False)v1_relat_1 X3v1_funct_1 X3v4_relat_1 X3 X2v1_partfun1 X3 X2v3_closure1 X1 X2 X3m1_pboole X4 X2 (k5_mssubfam X2 X3)m2_pboole X1 X2 (k5_mssubfam X2 X3) (k5_mssubfam X2 X3)False)(∀X4 X5 X3 X2 X1, (r2_pboole X1 X2 X3False)v1_relat_1 X4v1_relat_1 X3v1_funct_1 X4v1_funct_1 X3v4_relat_1 X4 X1v4_relat_1 X3 X1v1_partfun1 X4 X1v1_partfun1 X3 X1v5_mssubfam X5 X1 X4m3_pboole X5 X1 (k1_mboolean X1 X4)m1_pboole X2 X1 (k5_mssubfam X1 X4)r1_pboole X1 X3 (esk24_4 X1 X4 X5 X2)False)(∀X4 X5 X3 X2 X1, (r1_pboole X1 X2 X3False)v1_relat_1 X4v1_relat_1 X2v1_funct_1 X4v1_funct_1 X2v4_relat_1 X4 X1v4_relat_1 X2 X1v1_partfun1 X4 X1v1_partfun1 X2 X1v5_mssubfam X3 X1 X4m3_pboole X3 X1 (k1_mboolean X1 X4)m1_pboole X5 X1 (k5_mssubfam X1 X4)r1_pboole X1 X2 (esk24_4 X1 X4 X3 X5)False)(∀X1 X2, (r6_pboole esk1_0 (k2_closure1 esk1_0 esk2_0 esk4_0 X1) (k4_mssubfam esk1_0 esk2_0 X2)False)v2_relat_1 X2r2_pboole esk1_0 X1 (esk5_2 X1 X2)r1_pboole esk1_0 (esk5_2 X1 X2) X2r1_pboole esk1_0 (esk5_2 X1 X2) esk3_0m3_pboole X2 esk1_0 (k1_mboolean esk1_0 esk2_0)m1_pboole X1 esk1_0 (k5_mssubfam esk1_0 esk2_0)False)(∀X4 X3 X2 X1, (m1_pboole (k2_closure1 X2 X1 X3 X4) X2 (k5_mssubfam X2 X1)False)v1_relat_1 X1v1_funct_1 X1v4_relat_1 X1 X2v1_partfun1 X1 X2m1_pboole X4 X2 (k5_mssubfam X2 X1)m2_pboole X3 X2 (k5_mssubfam X2 X1) (k5_mssubfam X2 X1)False)(∀X2 X4 X3 X1 X5, (r1_pboole X1 X2 (esk24_4 X1 X5 X3 X4)False)v1_relat_1 X5v1_relat_1 X2v1_funct_1 X5v1_funct_1 X2v4_relat_1 X5 X1v4_relat_1 X2 X1v1_partfun1 X5 X1v1_partfun1 X2 X1r1_pboole X1 X2 X3r2_pboole X1 X4 X2v5_mssubfam X3 X1 X5m3_pboole X3 X1 (k1_mboolean X1 X5)m1_pboole X4 X1 (k5_mssubfam X1 X5)False)(∀X1 X2, (r2_pboole esk1_0 X1 (esk5_2 X1 X2)False)(r1_pboole esk1_0 (esk5_2 X1 X2) X2False)(r6_pboole esk1_0 (k2_closure1 esk1_0 esk2_0 esk4_0 X1) (k4_mssubfam esk1_0 esk2_0 X2)False)v2_relat_1 X2m3_pboole X2 esk1_0 (k1_mboolean esk1_0 esk2_0)m1_pboole X1 esk1_0 (k5_mssubfam esk1_0 esk2_0)False)(∀X1 X2, (r1_pboole esk1_0 (esk5_2 X1 X2) X2False)(r1_pboole esk1_0 (esk5_2 X1 X2) esk3_0False)(r6_pboole esk1_0 (k2_closure1 esk1_0 esk2_0 esk4_0 X1) (k4_mssubfam esk1_0 esk2_0 X2)False)v2_relat_1 X2m3_pboole X2 esk1_0 (k1_mboolean esk1_0 esk2_0)m1_pboole X1 esk1_0 (k5_mssubfam esk1_0 esk2_0)False)(∀X4 X3 X1 X2, (m3_pboole (esk24_4 X1 X2 X3 X4) X1 (k1_mboolean X1 X2)False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1v5_mssubfam X3 X1 X2m3_pboole X3 X1 (k1_mboolean X1 X2)m1_pboole X4 X1 (k5_mssubfam X1 X2)False)(∀X4 X3 X2 X1, ((k2_closure1 X2 X1 X3 X4) = (k15_pralg_1 X3 X4)False)v1_relat_1 X1v1_funct_1 X1v4_relat_1 X1 X2v1_partfun1 X1 X2m1_pboole X4 X2 (k5_mssubfam X2 X1)m2_pboole X3 X2 (k5_mssubfam X2 X1) (k5_mssubfam X2 X1)False)(∀X1 X2, (v1_partfun1 (esk5_2 X1 X2) esk1_0False)(r6_pboole esk1_0 (k2_closure1 esk1_0 esk2_0 esk4_0 X1) (k4_mssubfam esk1_0 esk2_0 X2)False)v2_relat_1 X2m3_pboole X2 esk1_0 (k1_mboolean esk1_0 esk2_0)m1_pboole X1 esk1_0 (k5_mssubfam esk1_0 esk2_0)False)(∀X1 X2, (v4_relat_1 (esk5_2 X1 X2) esk1_0False)(r6_pboole esk1_0 (k2_closure1 esk1_0 esk2_0 esk4_0 X1) (k4_mssubfam esk1_0 esk2_0 X2)False)v2_relat_1 X2m3_pboole X2 esk1_0 (k1_mboolean esk1_0 esk2_0)m1_pboole X1 esk1_0 (k5_mssubfam esk1_0 esk2_0)False)(∀X1 X2, (v1_funct_1 (esk5_2 X1 X2)False)(r6_pboole esk1_0 (k2_closure1 esk1_0 esk2_0 esk4_0 X1) (k4_mssubfam esk1_0 esk2_0 X2)False)v2_relat_1 X2m3_pboole X2 esk1_0 (k1_mboolean esk1_0 esk2_0)m1_pboole X1 esk1_0 (k5_mssubfam esk1_0 esk2_0)False)(∀X1 X2, (v1_relat_1 (esk5_2 X1 X2)False)(r6_pboole esk1_0 (k2_closure1 esk1_0 esk2_0 esk4_0 X1) (k4_mssubfam esk1_0 esk2_0 X2)False)v2_relat_1 X2m3_pboole X2 esk1_0 (k1_mboolean esk1_0 esk2_0)m1_pboole X1 esk1_0 (k5_mssubfam esk1_0 esk2_0)False)(∀X4 X3 X1 X2, (v2_relat_1 (esk24_4 X1 X2 X3 X4)False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1v5_mssubfam X3 X1 X2m3_pboole X3 X1 (k1_mboolean X1 X2)m1_pboole X4 X1 (k5_mssubfam X1 X2)False)(∀X3 X1 X2, (v4_mssubfam X3 X1 X2False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1m3_pboole X3 X1 (k1_mboolean X1 X2)r1_pboole X1 (k4_mssubfam X1 X2 (esk7_3 X1 X2 X3)) X3False)(∀X3 X1 X2, (v3_closure1 X3 X1 X2False)(m1_pboole (esk6_3 X1 X2 X3) X1 (k5_mssubfam X1 X2)False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1m2_pboole X3 X1 (k5_mssubfam X1 X2) (k5_mssubfam X1 X2)False)(∀X4 X1 X2 X3, (r1_pboole X2 (k4_mssubfam X2 X3 X4) X1False)v1_relat_1 X3v1_funct_1 X3v4_relat_1 X3 X2v1_partfun1 X3 X2v4_mssubfam X1 X2 X3r2_pboole X2 X4 X1m3_pboole X4 X2 (k1_mboolean X2 X3)m3_pboole X1 X2 (k1_mboolean X2 X3)False)(∀X4 X3 X1 X2, (v1_partfun1 X1 X2False)v1_relat_1 X4v1_relat_1 X3v1_funct_1 X4v1_funct_1 X3v4_relat_1 X4 X2v4_relat_1 X3 X2v1_partfun1 X4 X2v1_partfun1 X3 X2m2_pboole X1 X2 X3 X4False)(∀X4 X3 X1 X2, (v4_relat_1 X1 X2False)v1_relat_1 X4v1_relat_1 X3v1_funct_1 X4v1_funct_1 X3v4_relat_1 X4 X2v4_relat_1 X3 X2v1_partfun1 X4 X2v1_partfun1 X3 X2m2_pboole X1 X2 X3 X4False)(∀X3 X2 X1 X4, (v1_funcop_1 X4False)v1_relat_1 X3v1_relat_1 X1v1_funct_1 X3v1_funct_1 X1v4_relat_1 X3 X2v4_relat_1 X1 X2v1_partfun1 X3 X2v1_partfun1 X1 X2m2_pboole X4 X2 X1 X3False)(∀X4 X2 X3 X1, (v1_funct_1 X1False)v1_relat_1 X4v1_relat_1 X3v1_funct_1 X4v1_funct_1 X3v4_relat_1 X4 X2v4_relat_1 X3 X2v1_partfun1 X4 X2v1_partfun1 X3 X2m2_pboole X1 X2 X3 X4False)(∀X4 X2 X3 X1, (v1_relat_1 X1False)v1_relat_1 X4v1_relat_1 X3v1_funct_1 X4v1_funct_1 X3v4_relat_1 X4 X2v4_relat_1 X3 X2v1_partfun1 X4 X2v1_partfun1 X3 X2m2_pboole X1 X2 X3 X4False)(∀X1 X2 X3, (m2_pboole (esk9_3 X2 X1 X3) X2 X1 X3False)v1_relat_1 X3v1_relat_1 X1v1_funct_1 X3v1_funct_1 X1v4_relat_1 X3 X2v4_relat_1 X1 X2v1_partfun1 X3 X2v1_partfun1 X1 X2False)(∀X3 X1 X2, (v4_mssubfam X3 X1 X2False)(m3_pboole (esk7_3 X1 X2 X3) X1 (k1_mboolean X1 X2)False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1m3_pboole X3 X1 (k1_mboolean X1 X2)False)(∀X3 X4 X1 X2, (r1_pboole X2 X1 X4False)v1_relat_1 X4v1_relat_1 X3v1_relat_1 X1v1_funct_1 X4v1_funct_1 X3v1_funct_1 X1v4_relat_1 X4 X2v4_relat_1 X3 X2v4_relat_1 X1 X2v1_partfun1 X4 X2v1_partfun1 X3 X2v1_partfun1 X1 X2r1_pboole X2 X1 X3r2_pboole X2 X3 X4False)(∀X3 X1 X2, (v4_mssubfam X3 X1 X2False)(r2_pboole X1 (esk7_3 X1 X2 X3) X3False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1m3_pboole X3 X1 (k1_mboolean X1 X2)False)(∀X3 X2 X1, (m3_pboole (k4_mssubfam X2 X1 X3) X2 X1False)v1_relat_1 X1v1_funct_1 X1v4_relat_1 X1 X2v1_partfun1 X1 X2m3_pboole X3 X2 (k1_mboolean X2 X1)False)(∀X3 X2 X1, (v6_mssubfam X3 X2 X1False)v1_relat_1 X1v1_funct_1 X1v4_relat_1 X1 X2v1_partfun1 X1 X2v2_mssubfam X3 X2 X1m3_pboole X3 X2 (k1_mboolean X2 X1)False)(∀X3 X2 X1, (v5_mssubfam X3 X2 X1False)v1_relat_1 X1v1_funct_1 X1v4_relat_1 X1 X2v1_partfun1 X1 X2v4_mssubfam X3 X2 X1m3_pboole X3 X2 (k1_mboolean X2 X1)False)(∀X3 X2 X1, (v3_mssubfam X3 X2 X1False)v1_relat_1 X1v1_funct_1 X1v4_relat_1 X1 X2v1_partfun1 X1 X2v4_mssubfam X3 X2 X1m3_pboole X3 X2 (k1_mboolean X2 X1)False)(∀X3 X2 X1, (v1_mssubfam X3 X2 X1False)v1_relat_1 X1v1_funct_1 X1v4_relat_1 X1 X2v1_partfun1 X1 X2v2_mssubfam X3 X2 X1m3_pboole X3 X2 (k1_mboolean X2 X1)False)(∀X3 X1 X2, (v1_partfun1 (k3_mssubfam X1 X2 X3) X1False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1m3_pboole X3 X1 (k1_mboolean X1 X2)False)(∀X3 X1 X2, (v4_relat_1 (k3_mssubfam X1 X2 X3) X1False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1m3_pboole X3 X1 (k1_mboolean X1 X2)False)(∀X3 X1 X2, (v1_funct_1 (k3_mssubfam X1 X2 X3)False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1m3_pboole X3 X1 (k1_mboolean X1 X2)False)(∀X3 X1 X2, (v1_relat_1 (k3_mssubfam X1 X2 X3)False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1m3_pboole X3 X1 (k1_mboolean X1 X2)False)(∀X3 X2 X1, ((k3_mssubfam X2 X1 X3) = (k4_mssubfam X2 X1 X3)False)v1_relat_1 X1v1_funct_1 X1v4_relat_1 X1 X2v1_partfun1 X1 X2m3_pboole X3 X2 (k1_mboolean X2 X1)False)(∀X1 X2 X3, (v2_relat_1 X3False)v1_relat_1 X1v1_funct_1 X1v4_relat_1 X1 X2v1_partfun1 X1 X2v6_mssubfam X3 X2 X1m3_pboole X3 X2 (k1_mboolean X2 X1)False)(∀X1 X2 X3, (v2_relat_1 X3False)v1_relat_1 X1v1_funct_1 X1v4_relat_1 X1 X2v1_partfun1 X1 X2v5_mssubfam X3 X2 X1m3_pboole X3 X2 (k1_mboolean X2 X1)False)(∀X1 X2 X3, (r6_pboole X2 X3 X1False)v1_relat_1 X3v1_relat_1 X1v1_funct_1 X3v1_funct_1 X1v4_relat_1 X3 X2v4_relat_1 X1 X2v1_partfun1 X3 X2v1_partfun1 X1 X2r6_pboole X2 X1 X3False)(∀X1 X2 X3, (r2_pboole X2 X1 X3False)v1_relat_1 X3v1_relat_1 X1v1_funct_1 X3v1_funct_1 X1v4_relat_1 X3 X2v4_relat_1 X1 X2v1_partfun1 X3 X2v1_partfun1 X1 X2m3_pboole X1 X2 X3False)(∀X1 X2 X3, (m1_pboole X1 X2 X3False)v1_relat_1 X3v1_relat_1 X1v1_funct_1 X3v1_funct_1 X1v4_relat_1 X3 X2v4_relat_1 X1 X2v1_partfun1 X3 X2v1_partfun1 X1 X2r1_pboole X2 X1 X3False)(∀X2 X1 X3, (m3_pboole X2 X1 X3False)v1_relat_1 X3v1_relat_1 X2v1_funct_1 X3v1_funct_1 X2v4_relat_1 X3 X1v4_relat_1 X2 X1v1_partfun1 X3 X1v1_partfun1 X2 X1r2_pboole X1 X2 X3False)(∀X2 X1 X3, (v1_funct_1 (k16_pralg_1 X1 X2 X3)False)v1_relat_1 X3v1_relat_1 X2v1_funct_1 X3v1_funct_1 X2v1_funcop_1 X2v4_relat_1 X3 X1v4_relat_1 X2 X1v1_partfun1 X3 X1v1_partfun1 X2 X1False)(∀X2 X1 X3, (v1_relat_1 (k16_pralg_1 X1 X2 X3)False)v1_relat_1 X3v1_relat_1 X2v1_funct_1 X3v1_funct_1 X2v1_funcop_1 X2v4_relat_1 X3 X1v4_relat_1 X2 X1v1_partfun1 X3 X1v1_partfun1 X2 X1False)(∀X1 X2 X3, (X2 = X3False)v1_relat_1 X3v1_relat_1 X2v1_funct_1 X3v1_funct_1 X2v4_relat_1 X3 X1v4_relat_1 X2 X1v1_partfun1 X3 X1v1_partfun1 X2 X1r6_pboole X1 X2 X3False)(∀X1 X2 X3, ((k16_pralg_1 X2 X1 X3) = (k15_pralg_1 X1 X3)False)v1_relat_1 X3v1_relat_1 X1v1_funct_1 X3v1_funct_1 X1v1_funcop_1 X1v4_relat_1 X3 X2v4_relat_1 X1 X2v1_partfun1 X3 X2v1_partfun1 X1 X2False)(∀X3 X1 X2, (r6_pboole X3 X1 X2False)X1 = X2v1_relat_1 X2v1_relat_1 X1v1_funct_1 X2v1_funct_1 X1v4_relat_1 X2 X3v4_relat_1 X1 X3v1_partfun1 X2 X3v1_partfun1 X1 X3False)(∀X3 X2 X1, (r6_pboole X2 X1 X1False)v1_relat_1 X3v1_relat_1 X1v1_funct_1 X3v1_funct_1 X1v4_relat_1 X3 X2v4_relat_1 X1 X2v1_partfun1 X3 X2v1_partfun1 X1 X2False)(∀X3 X2 X1, (r2_pboole X2 X1 X1False)v1_relat_1 X3v1_relat_1 X1v1_funct_1 X3v1_funct_1 X1v4_relat_1 X3 X2v4_relat_1 X1 X2v1_partfun1 X3 X2v1_partfun1 X1 X2False)(∀X1 X3 X2, (v1_partfun1 (k15_pralg_1 X1 X2) X3False)v1_relat_1 X2v1_relat_1 X1v1_funct_1 X2v1_funct_1 X1v1_funcop_1 X1v4_relat_1 X2 X3v4_relat_1 X1 X3v1_partfun1 X2 X3v1_partfun1 X1 X3False)(∀X1 X3 X2, (v1_partfun1 (k15_pralg_1 X1 X2) X3False)v1_relat_1 X2v1_relat_1 X1v1_funct_1 X2v1_funct_1 X1v1_funcop_1 X1v4_relat_1 X2 X3v4_relat_1 X1 X3v1_partfun1 X2 X3v1_partfun1 X1 X3False)(∀X1 X3 X2, (v4_relat_1 (k15_pralg_1 X1 X2) X3False)v1_relat_1 X2v1_relat_1 X1v1_funct_1 X2v1_funct_1 X1v1_funcop_1 X1v4_relat_1 X2 X3v4_relat_1 X1 X3v1_partfun1 X2 X3v1_partfun1 X1 X3False)(∀X1 X3 X2, (v4_relat_1 (k15_pralg_1 X1 X2) X3False)v1_relat_1 X2v1_relat_1 X1v1_funct_1 X2v1_funct_1 X1v1_funcop_1 X1v4_relat_1 X2 X3v4_relat_1 X1 X3v1_partfun1 X2 X3v1_partfun1 X1 X3False)(∀X1 X3 X2, (v4_relat_1 (k15_pralg_1 X1 X2) X3False)v1_relat_1 X2v1_relat_1 X1v1_funct_1 X2v1_funct_1 X1v1_funcop_1 X1v4_relat_1 X2 X3v4_relat_1 X1 X3v1_partfun1 X2 X3v1_partfun1 X1 X3False)(∀X1 X2, (m3_pboole (esk20_2 X1 X2) X1 (k1_mboolean X1 X2)False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (m3_pboole (esk14_2 X1 X2) X1 (k1_mboolean X1 X2)False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (m3_pboole (k5_mssubfam X1 X2) X1 (k1_mboolean X1 X2)False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X3 X1 X2, (v1_partfun1 X1 X2False)v1_relat_1 X3v1_funct_1 X3v4_relat_1 X3 X2v1_partfun1 X3 X2m1_pboole X1 X2 X3False)(∀X3 X1 X2, (v1_partfun1 X1 X2False)v1_relat_1 X3v1_funct_1 X3v4_relat_1 X3 X2v1_partfun1 X3 X2m3_pboole X1 X2 X3False)(∀X3 X1 X2, (v4_relat_1 X1 X2False)v1_relat_1 X3v1_funct_1 X3v4_relat_1 X3 X2v1_partfun1 X3 X2m1_pboole X1 X2 X3False)(∀X3 X1 X2, (v4_relat_1 X1 X2False)v1_relat_1 X3v1_funct_1 X3v4_relat_1 X3 X2v1_partfun1 X3 X2m3_pboole X1 X2 X3False)(∀X3 X2 X1, (v1_funct_1 (k15_pralg_1 X1 X2)False)v1_relat_1 X2v1_relat_1 X1v1_funct_1 X2v1_funct_1 X1v1_funcop_1 X1v4_relat_1 X2 X3v4_relat_1 X1 X3v1_partfun1 X2 X3v1_partfun1 X1 X3False)(∀X3 X2 X1, (v1_funct_1 (k15_pralg_1 X1 X2)False)v1_relat_1 X2v1_relat_1 X1v1_funct_1 X2v1_funct_1 X1v1_funcop_1 X1v4_relat_1 X2 X3v4_relat_1 X1 X3v1_partfun1 X2 X3v1_partfun1 X1 X3False)(∀X3 X2 X1, (v1_funct_1 (k15_pralg_1 X1 X2)False)v1_relat_1 X2v1_relat_1 X1v1_funct_1 X2v1_funct_1 X1v1_funcop_1 X1v4_relat_1 X2 X3v4_relat_1 X1 X3v1_partfun1 X2 X3v1_partfun1 X1 X3False)(∀X3 X2 X1, (v1_relat_1 (k15_pralg_1 X1 X2)False)v1_relat_1 X2v1_relat_1 X1v1_funct_1 X2v1_funct_1 X1v1_funcop_1 X1v4_relat_1 X2 X3v4_relat_1 X1 X3v1_partfun1 X2 X3v1_partfun1 X1 X3False)(∀X3 X2 X1, (v1_relat_1 (k15_pralg_1 X1 X2)False)v1_relat_1 X2v1_relat_1 X1v1_funct_1 X2v1_funct_1 X1v1_funcop_1 X1v4_relat_1 X2 X3v4_relat_1 X1 X3v1_partfun1 X2 X3v1_partfun1 X1 X3False)(∀X3 X2 X1, (v1_relat_1 (k15_pralg_1 X1 X2)False)v1_relat_1 X2v1_relat_1 X1v1_funct_1 X2v1_funct_1 X1v1_funcop_1 X1v4_relat_1 X2 X3v4_relat_1 X1 X3v1_partfun1 X2 X3v1_partfun1 X1 X3False)(∀X3 X2 X1, (v1_funct_1 X1False)v1_relat_1 X3v1_funct_1 X3v4_relat_1 X3 X2v1_partfun1 X3 X2m1_pboole X1 X2 X3False)(∀X3 X2 X1, (v1_funct_1 X1False)v1_relat_1 X3v1_funct_1 X3v4_relat_1 X3 X2v1_partfun1 X3 X2m3_pboole X1 X2 X3False)(∀X3 X2 X1, (v1_relat_1 X1False)v1_relat_1 X3v1_funct_1 X3v4_relat_1 X3 X2v1_partfun1 X3 X2m1_pboole X1 X2 X3False)(∀X3 X2 X1, (v1_relat_1 X1False)v1_relat_1 X3v1_funct_1 X3v4_relat_1 X3 X2v1_partfun1 X3 X2m3_pboole X1 X2 X3False)(∀X1 X2, (m3_pboole (esk21_2 X1 X2) X1 X2False)v1_relat_1 X2v1_funct_1 X2v2_relat_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v6_mssubfam (esk20_2 X1 X2) X1 X2False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v6_mssubfam (k5_mssubfam X1 X2) X1 X2False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v5_mssubfam (esk20_2 X1 X2) X1 X2False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v5_mssubfam (k5_mssubfam X1 X2) X1 X2False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v3_mssubfam (esk20_2 X1 X2) X1 X2False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v3_mssubfam (k5_mssubfam X1 X2) X1 X2False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v1_mssubfam (esk20_2 X1 X2) X1 X2False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v1_mssubfam (k5_mssubfam X1 X2) X1 X2False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v2_mssubfam (esk20_2 X1 X2) X1 X2False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v2_mssubfam (k5_mssubfam X1 X2) X1 X2False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X2 X1, (m1_pboole (esk8_2 X2 X1) X2 X1False)v1_relat_1 X1v1_funct_1 X1v4_relat_1 X1 X2v1_partfun1 X1 X2False)(∀X2 X1, (m3_pboole (esk10_2 X2 X1) X2 X1False)v1_relat_1 X1v1_funct_1 X1v4_relat_1 X1 X2v1_partfun1 X1 X2False)(∀X1 X2, (v4_mssubfam (esk20_2 X1 X2) X1 X2False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v4_mssubfam (k5_mssubfam X1 X2) X1 X2False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v1_partfun1 (esk21_2 X1 X2) X1False)v1_relat_1 X2v1_funct_1 X2v2_relat_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v4_relat_1 (esk21_2 X1 X2) X1False)v1_relat_1 X2v1_funct_1 X2v2_relat_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v1_partfun1 (esk20_2 X1 X2) X1False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v1_partfun1 (esk14_2 X1 X2) X1False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v1_partfun1 (k1_mboolean X1 X2) X1False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v4_relat_1 (esk20_2 X1 X2) X1False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v4_relat_1 (esk14_2 X1 X2) X1False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v4_relat_1 (k1_mboolean X1 X2) X1False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v2_relat_1 (esk21_2 X1 X2)False)v1_relat_1 X2v1_funct_1 X2v2_relat_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v1_funct_1 (esk21_2 X1 X2)False)v1_relat_1 X2v1_funct_1 X2v2_relat_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v1_relat_1 (esk21_2 X1 X2)False)v1_relat_1 X2v1_funct_1 X2v2_relat_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v2_relat_1 (esk20_2 X1 X2)False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v2_relat_1 (esk14_2 X1 X2)False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v1_funct_1 (esk20_2 X1 X2)False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v1_funct_1 (esk14_2 X1 X2)False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v1_funct_1 (k1_mboolean X1 X2)False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v1_relat_1 (esk20_2 X1 X2)False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v1_relat_1 (esk14_2 X1 X2)False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X1 X2, (v1_relat_1 (k1_mboolean X1 X2)False)v1_relat_1 X2v1_funct_1 X2v4_relat_1 X2 X1v1_partfun1 X2 X1False)(∀X2 X1, ((k5_mssubfam X2 X1) = (k1_mboolean X2 X1)False)v1_relat_1 X1v1_funct_1 X1v4_relat_1 X1 X2v1_partfun1 X1 X2False)(∀X1 X2, (v1_funct_1 (k15_pralg_1 X1 X2)False)v1_relat_1 X2v1_relat_1 X1v1_funct_1 X2v1_funct_1 X1v1_funcop_1 X1False)(∀X1 X2, (v1_relat_1 (k15_pralg_1 X1 X2)False)v1_relat_1 X2v1_relat_1 X1v1_funct_1 X2v1_funct_1 X1v1_funcop_1 X1False)(∀X1, (v2_funcop_1 X1False)v1_relat_1 X1v1_funct_1 X1v1_funcop_1 X1False)(v3_closure1 esk4_0 esk1_0 esk2_0False)((m2_pboole esk4_0 esk1_0 (k5_mssubfam esk1_0 esk2_0) (k5_mssubfam esk1_0 esk2_0)False)False)((m3_pboole esk3_0 esk1_0 (k1_mboolean esk1_0 esk2_0)False)False)((v4_mssubfam esk3_0 esk1_0 esk2_0False)False)(∀X1, (v1_partfun1 (esk19_1 X1) X1False)False)(∀X1, (v1_partfun1 (esk18_1 X1) X1False)False)(∀X1, (v1_partfun1 (esk17_1 X1) X1False)False)(∀X1, (v1_partfun1 (esk13_1 X1) X1False)False)(∀X1, (v4_relat_1 (esk22_1 X1) X1False)False)(∀X1, (v4_relat_1 (esk19_1 X1) X1False)False)(∀X1, (v4_relat_1 (esk18_1 X1) X1False)False)(∀X1, (v4_relat_1 (esk17_1 X1) X1False)False)(∀X1, (v4_relat_1 (esk13_1 X1) X1False)False)((v1_partfun1 esk2_0 esk1_0False)False)((v4_relat_1 esk2_0 esk1_0False)False)(∀X1, (v1_funcop_1 (esk19_1 X1)False)False)(∀X1, (v2_relat_1 (esk22_1 X1)False)False)(∀X1, (v2_relat_1 (esk18_1 X1)False)False)(∀X1, (v2_relat_1 (esk17_1 X1)False)False)(∀X1, (v1_funct_1 (esk22_1 X1)False)False)(∀X1, (v1_funct_1 (esk19_1 X1)False)False)(∀X1, (v1_funct_1 (esk18_1 X1)False)False)(∀X1, (v1_funct_1 (esk17_1 X1)False)False)(∀X1, (v1_funct_1 (esk13_1 X1)False)False)(∀X1, (v1_relat_1 (esk22_1 X1)False)False)(∀X1, (v1_relat_1 (esk19_1 X1)False)False)(∀X1, (v1_relat_1 (esk18_1 X1)False)False)(∀X1, (v1_relat_1 (esk17_1 X1)False)False)(∀X1, (v1_relat_1 (esk13_1 X1)False)False)((v1_funcop_1 esk11_0False)False)((v2_relat_1 esk16_0False)False)((v2_relat_1 esk15_0False)False)((v1_funct_1 esk16_0False)False)((v1_funct_1 esk12_0False)False)((v1_funct_1 esk11_0False)False)((v1_funct_1 esk2_0False)False)((v1_relat_1 esk16_0False)False)((v1_relat_1 esk15_0False)False)((v1_relat_1 esk12_0False)False)((v1_relat_1 esk11_0False)False)((v1_relat_1 esk2_0False)False)False
Proof:
The rest of the proof is missing.