Theorem. (l15_yellow11)
∀k13_lattice3 : setsetsetset, ∀v1_lattice3 : setprop, ∀esk36_4 : setsetsetsetset, ∀r3_orders_2 : setsetsetprop, ∀v4_orders_2 : setprop, ∀v3_orders_2 : setprop, ∀v1_xboole_0 : setprop, ∀k1_zfmisc_1 : setset, ∀m2_subset_1 : setsetsetprop, ∀esk13_1 : setset, ∀esk14_1 : setset, ∀esk8_1 : setset, ∀r2_hidden : setsetprop, ∀esk3_0 : set, ∀v7_struct_0 : setprop, ∀esk23_1 : setset, ∀l1_struct_0 : setprop, ∀esk22_1 : setset, ∀esk28_1 : setset, ∀v1_zfmisc_1 : setprop, ∀v6_ordinal1 : setprop, ∀v3_lattice3 : setprop, ∀np__1 : set, ∀v13_struct_0 : setsetprop, ∀v3_ordinal1 : setprop, ∀k1_xboole_0 : set, ∀esk35_1 : setset, ∀esk32_1 : setset, ∀v1_ordinal1 : setprop, ∀v2_ordinal1 : setprop, ∀v5_ordinal1 : setprop, ∀esk29_1 : setset, ∀esk33_0 : set, ∀esk24_0 : set, ∀k1_numbers : set, ∀k5_numbers : set, ∀esk25_1 : setset, ∀v2_xxreal_0 : setprop, ∀esk30_0 : set, ∀esk21_0 : set, ∀esk19_0 : set, ∀esk15_0 : set, ∀esk16_0 : set, ∀o_0_0_xboole_0 : set, ∀esk17_1 : setset, ∀esk27_0 : set, ∀esk26_0 : set, ∀v2_orders_2 : setprop, ∀k4_ordinal1 : set, ∀v7_ordinal1 : setprop, ∀v1_yellow_0 : setprop, ∀v2_yellow_0 : setprop, ∀v3_yellow_0 : setprop, ∀v1_finset_1 : setprop, ∀v8_struct_0 : setprop, ∀esk20_1 : setset, ∀esk34_1 : setset, ∀r1_tarski : setsetprop, ∀esk31_1 : setset, ∀esk2_0 : set, ∀esk6_0 : set, ∀esk4_0 : set, ∀esk5_0 : set, ∀v1_subset_1 : setsetprop, ∀v6_orders_2 : setsetprop, ∀esk9_1 : setset, ∀esk7_1 : setset, ∀esk18_2 : setsetset, ∀v2_struct_0 : setprop, ∀k10_lattice3 : setsetsetset, ∀esk11_1 : setset, ∀esk10_1 : setset, ∀esk12_1 : setset, ∀k11_lattice3 : setsetsetset, ∀v1_yellow11 : setprop, ∀esk1_0 : set, ∀v5_orders_2 : setprop, ∀l1_orders_2 : setprop, ∀esk37_4 : setsetsetsetset, ∀m1_subset_1 : setsetprop, ∀u1_struct_0 : setset, ∀r1_orders_2 : setsetsetprop, ∀v2_lattice3 : setprop, ∀k12_lattice3 : setsetsetset, (∀X4 X3 X2 X1, (X4 = (k12_lattice3 X1 X2 X3)False)v5_orders_2 X1v2_lattice3 X1l1_orders_2 X1r1_orders_2 X1 X4 X3r1_orders_2 X1 X4 X2m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r1_orders_2 X1 (esk37_4 X1 X2 X3 X4) X4False)(∀X4 X2 X3 X1, (X2 = (k13_lattice3 X1 X3 X4)False)v5_orders_2 X1v1_lattice3 X1l1_orders_2 X1r1_orders_2 X1 X4 X2r1_orders_2 X1 X3 X2m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r1_orders_2 X1 X2 (esk36_4 X1 X3 X4 X2)False)(∀X3 X2 X1 X4 X5, (X4 = X5False)(X3 = X5False)(X3 = X4False)(X2 = X5False)(X2 = X4False)(X2 = X3False)(X1 = X5False)(X1 = X4False)(X1 = X3False)(X1 = X2False)(v1_yellow11 esk1_0False)(k12_lattice3 esk1_0 X4 X5) = X4(k12_lattice3 esk1_0 X3 X5) = X3(k12_lattice3 esk1_0 X3 X4) = X1(k12_lattice3 esk1_0 X2 X4) = X2(k12_lattice3 esk1_0 X2 X3) = X1(k12_lattice3 esk1_0 X1 X3) = X1(k12_lattice3 esk1_0 X1 X2) = X1(k13_lattice3 esk1_0 X3 X4) = X5(k13_lattice3 esk1_0 X2 X3) = X5m1_subset_1 X5 (u1_struct_0 esk1_0)m1_subset_1 X4 (u1_struct_0 esk1_0)m1_subset_1 X3 (u1_struct_0 esk1_0)m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X3 X4 X2 X1, (r3_orders_2 X1 (k13_lattice3 X1 X2 (k12_lattice3 X1 X3 X4)) (k12_lattice3 X1 (k13_lattice3 X1 X2 X3) X4)False)v3_orders_2 X1v4_orders_2 X1v5_orders_2 X1v1_lattice3 X1v2_lattice3 X1l1_orders_2 X1r3_orders_2 X1 X2 X4m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X4 X3 X2 X1, (X4 = (k12_lattice3 X1 X2 X3)False)(r1_orders_2 X1 (esk37_4 X1 X2 X3 X4) X2False)v5_orders_2 X1v2_lattice3 X1l1_orders_2 X1r1_orders_2 X1 X4 X3r1_orders_2 X1 X4 X2m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X4 X3 X2 X1, (X4 = (k12_lattice3 X1 X2 X3)False)(r1_orders_2 X1 (esk37_4 X1 X2 X3 X4) X3False)v5_orders_2 X1v2_lattice3 X1l1_orders_2 X1r1_orders_2 X1 X4 X3r1_orders_2 X1 X4 X2m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X3 X4 X2 X1, (X4 = (k13_lattice3 X1 X2 X3)False)(r1_orders_2 X1 X2 (esk36_4 X1 X2 X3 X4)False)v5_orders_2 X1v1_lattice3 X1l1_orders_2 X1r1_orders_2 X1 X3 X4r1_orders_2 X1 X2 X4m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X3 X4 X2 X1, (X4 = (k13_lattice3 X1 X3 X2)False)(r1_orders_2 X1 X2 (esk36_4 X1 X3 X2 X4)False)v5_orders_2 X1v1_lattice3 X1l1_orders_2 X1r1_orders_2 X1 X3 X4r1_orders_2 X1 X2 X4m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X3 X4 X2 X1, (X4 = (k13_lattice3 X1 X2 X3)False)(m1_subset_1 (esk36_4 X1 X2 X3 X4) (u1_struct_0 X1)False)v5_orders_2 X1v1_lattice3 X1l1_orders_2 X1r1_orders_2 X1 X3 X4r1_orders_2 X1 X2 X4m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X4 X3 X2 X1, (X4 = (k12_lattice3 X1 X2 X3)False)(m1_subset_1 (esk37_4 X1 X2 X3 X4) (u1_struct_0 X1)False)v5_orders_2 X1v2_lattice3 X1l1_orders_2 X1r1_orders_2 X1 X4 X3r1_orders_2 X1 X4 X2m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X1, (v1_yellow11 X1False)(v2_struct_0 X1False)(k10_lattice3 X1 (esk10_1 X1) (k11_lattice3 X1 (esk11_1 X1) (esk12_1 X1))) = (k11_lattice3 X1 (k10_lattice3 X1 (esk10_1 X1) (esk11_1 X1)) (esk12_1 X1))l1_orders_2 X1False)(∀X2 X4 X5 X3 X1, (r1_orders_2 X1 (k12_lattice3 X1 X2 X3) (k12_lattice3 X1 X4 X5)False)v4_orders_2 X1v5_orders_2 X1v2_lattice3 X1l1_orders_2 X1r1_orders_2 X1 X3 X5r1_orders_2 X1 X2 X4m1_subset_1 X5 (u1_struct_0 X1)m1_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 X4 X3 X1, ((k10_lattice3 X1 X2 (k11_lattice3 X1 X3 X4)) = (k11_lattice3 X1 (k10_lattice3 X1 X2 X3) X4)False)(v2_struct_0 X1False)l1_orders_2 X1v1_yellow11 X1r1_orders_2 X1 X2 X4m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X4 X3 X2 X1, (r1_orders_2 X1 (k13_lattice3 X1 X2 X4) (k13_lattice3 X1 X3 X4)False)v4_orders_2 X1v5_orders_2 X1v1_lattice3 X1l1_orders_2 X1r1_orders_2 X1 X2 X3m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X3 X4 X2 X1, (r3_orders_2 X1 (k13_lattice3 X1 X2 X3) X4False)v3_orders_2 X1v4_orders_2 X1v5_orders_2 X1v1_lattice3 X1l1_orders_2 X1r3_orders_2 X1 X3 X4r3_orders_2 X1 X2 X4m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X3 X4 X5 X1 X2, (r1_orders_2 X2 X1 X5False)X5 = (k12_lattice3 X2 X3 X4)v5_orders_2 X2v2_lattice3 X2l1_orders_2 X2r1_orders_2 X2 X1 X4r1_orders_2 X2 X1 X3m1_subset_1 X5 (u1_struct_0 X2)m1_subset_1 X4 (u1_struct_0 X2)m1_subset_1 X3 (u1_struct_0 X2)m1_subset_1 X1 (u1_struct_0 X2)False)(∀X3 X4 X1 X5 X2, (r1_orders_2 X2 X5 X1False)X5 = (k13_lattice3 X2 X3 X4)v5_orders_2 X2v1_lattice3 X2l1_orders_2 X2r1_orders_2 X2 X4 X1r1_orders_2 X2 X3 X1m1_subset_1 X5 (u1_struct_0 X2)m1_subset_1 X4 (u1_struct_0 X2)m1_subset_1 X3 (u1_struct_0 X2)m1_subset_1 X1 (u1_struct_0 X2)False)(∀X2 X3 X4 X1, ((k10_lattice3 X1 (k10_lattice3 X1 X2 X3) X4) = (k10_lattice3 X1 X2 (k10_lattice3 X1 X3 X4))False)v4_orders_2 X1v5_orders_2 X1v1_lattice3 X1l1_orders_2 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 X4 X1, ((k11_lattice3 X1 (k11_lattice3 X1 X2 X3) X4) = (k11_lattice3 X1 X2 (k11_lattice3 X1 X3 X4))False)v4_orders_2 X1v5_orders_2 X1v2_lattice3 X1l1_orders_2 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)(∀X3 X4 X2 X1, (r1_orders_2 X1 X2 X4False)v4_orders_2 X1l1_orders_2 X1r1_orders_2 X1 X3 X4r1_orders_2 X1 X2 X3m1_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, ((k13_lattice3 X1 (k12_lattice3 X1 X2 X3) X3) = X3False)v3_orders_2 X1v5_orders_2 X1v1_lattice3 X1v2_lattice3 X1l1_orders_2 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X3 X1, ((k12_lattice3 X1 X2 (k13_lattice3 X1 X2 X3)) = X2False)v3_orders_2 X1v5_orders_2 X1v1_lattice3 X1v2_lattice3 X1l1_orders_2 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X4 X3 X2 X1, (r1_orders_2 X1 X2 X3False)X2 = (k12_lattice3 X1 X3 X4)v5_orders_2 X1v2_lattice3 X1l1_orders_2 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)(∀X4 X3 X2 X1, (r1_orders_2 X1 X2 X3False)X2 = (k12_lattice3 X1 X4 X3)v5_orders_2 X1v2_lattice3 X1l1_orders_2 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)(∀X4 X3 X2 X1, (r1_orders_2 X1 X2 X3False)X3 = (k13_lattice3 X1 X2 X4)v5_orders_2 X1v1_lattice3 X1l1_orders_2 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)(∀X4 X3 X2 X1, (r1_orders_2 X1 X2 X3False)X3 = (k13_lattice3 X1 X4 X2)v5_orders_2 X1v1_lattice3 X1l1_orders_2 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)(∀X1 X2 X3, (X2 = X3False)v5_orders_2 X1l1_orders_2 X1r1_orders_2 X1 X3 X2r1_orders_2 X1 X2 X3m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X3 X1, ((k13_lattice3 X1 X2 X3) = X2False)(k12_lattice3 X1 X2 X3) = X3v3_orders_2 X1v5_orders_2 X1v1_lattice3 X1v2_lattice3 X1l1_orders_2 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X3 X1, ((k12_lattice3 X1 X2 X3) = X3False)(k13_lattice3 X1 X2 X3) = X2v3_orders_2 X1v5_orders_2 X1v1_lattice3 X1v2_lattice3 X1l1_orders_2 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X3 X1, ((k13_lattice3 X1 X2 X3) = X3False)v3_orders_2 X1v4_orders_2 X1v5_orders_2 X1v1_lattice3 X1l1_orders_2 X1r3_orders_2 X1 X2 X3m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X3 X1, ((k12_lattice3 X1 X2 X3) = X3False)v3_orders_2 X1v4_orders_2 X1v5_orders_2 X1v2_lattice3 X1l1_orders_2 X1r3_orders_2 X1 X3 X2m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X3 X1, (v2_struct_0 X1False)(r3_orders_2 X1 X2 X3False)v3_orders_2 X1l1_orders_2 X1r1_orders_2 X1 X2 X3m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X3 X1, (v2_struct_0 X1False)(r1_orders_2 X1 X2 X3False)v3_orders_2 X1l1_orders_2 X1r3_orders_2 X1 X2 X3m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X3 X1, (m1_subset_1 (k13_lattice3 X1 X2 X3) (u1_struct_0 X1)False)v5_orders_2 X1v1_lattice3 X1l1_orders_2 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X3 X1, (m1_subset_1 (k12_lattice3 X1 X2 X3) (u1_struct_0 X1)False)v5_orders_2 X1v2_lattice3 X1l1_orders_2 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X3 X1, (m1_subset_1 (k10_lattice3 X1 X2 X3) (u1_struct_0 X1)False)l1_orders_2 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X3 X1, (m1_subset_1 (k11_lattice3 X1 X2 X3) (u1_struct_0 X1)False)l1_orders_2 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X3 X1, ((k10_lattice3 X1 X2 X3) = (k13_lattice3 X1 X2 X3)False)v5_orders_2 X1v1_lattice3 X1l1_orders_2 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X3 X1, ((k11_lattice3 X1 X2 X3) = (k12_lattice3 X1 X2 X3)False)v5_orders_2 X1v2_lattice3 X1l1_orders_2 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X3 X1, ((k13_lattice3 X1 X2 X3) = (k13_lattice3 X1 X3 X2)False)v5_orders_2 X1v1_lattice3 X1l1_orders_2 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X3 X1, ((k12_lattice3 X1 X2 X3) = (k12_lattice3 X1 X3 X2)False)v5_orders_2 X1v2_lattice3 X1l1_orders_2 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X1 X3 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(m1_subset_1 X3 X1False)m2_subset_1 X3 X1 X2m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1 X3, (v1_xboole_0 X3False)(v1_xboole_0 X2False)(m1_subset_1 X1 X3False)m2_subset_1 X1 X2 X3m1_subset_1 X3 (k1_zfmisc_1 X2)False)(∀X2 X3 X1, (v2_struct_0 X1False)(r3_orders_2 X1 X2 X2False)v3_orders_2 X1l1_orders_2 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(m2_subset_1 (esk18_2 X1 X2) X1 X2False)m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1 X3, (v1_xboole_0 X3False)(v1_xboole_0 X2False)(m2_subset_1 X1 X3 X2False)m1_subset_1 X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X1, (v4_orders_2 X1False)l1_orders_2 X1r1_orders_2 X1 (esk7_1 X1) (esk9_1 X1)False)(∀X2 X1, ((k13_lattice3 X1 X2 X2) = X2False)v3_orders_2 X1v5_orders_2 X1v1_lattice3 X1l1_orders_2 X1m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X1, ((k12_lattice3 X1 X2 X2) = X2False)v3_orders_2 X1v5_orders_2 X1v2_lattice3 X1l1_orders_2 X1m1_subset_1 X2 (u1_struct_0 X1)False)(∀X1, (v1_yellow11 X1False)(v2_struct_0 X1False)(r1_orders_2 X1 (esk10_1 X1) (esk12_1 X1)False)l1_orders_2 X1False)(∀X2 X1, (v6_orders_2 X2 X1False)l1_orders_2 X1v1_xboole_0 X2m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X1, (v5_orders_2 X1False)(r1_orders_2 X1 (esk14_1 X1) (esk13_1 X1)False)l1_orders_2 X1False)(∀X1, (v5_orders_2 X1False)(r1_orders_2 X1 (esk13_1 X1) (esk14_1 X1)False)l1_orders_2 X1False)(∀X1, (v4_orders_2 X1False)(r1_orders_2 X1 (esk8_1 X1) (esk9_1 X1)False)l1_orders_2 X1False)(∀X1, (v4_orders_2 X1False)(r1_orders_2 X1 (esk7_1 X1) (esk8_1 X1)False)l1_orders_2 X1False)(∀X2 X1 X3, (m1_subset_1 X1 X3False)r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)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)(∀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)(((k13_lattice3 esk1_0 esk4_0 esk5_0) = esk6_0False)v1_yellow11 esk1_0False)(((k13_lattice3 esk1_0 esk3_0 esk4_0) = esk6_0False)v1_yellow11 esk1_0False)(((k12_lattice3 esk1_0 esk5_0 esk6_0) = esk5_0False)v1_yellow11 esk1_0False)(((k12_lattice3 esk1_0 esk4_0 esk6_0) = esk4_0False)v1_yellow11 esk1_0False)(((k12_lattice3 esk1_0 esk4_0 esk5_0) = esk2_0False)v1_yellow11 esk1_0False)(((k12_lattice3 esk1_0 esk3_0 esk5_0) = esk3_0False)v1_yellow11 esk1_0False)(((k12_lattice3 esk1_0 esk3_0 esk4_0) = esk2_0False)v1_yellow11 esk1_0False)(((k12_lattice3 esk1_0 esk2_0 esk4_0) = esk2_0False)v1_yellow11 esk1_0False)(((k12_lattice3 esk1_0 esk2_0 esk3_0) = esk2_0False)v1_yellow11 esk1_0False)(∀X1, (v7_struct_0 X1False)(m1_subset_1 (esk23_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk31_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)(∀X2 X1, (r1_tarski X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X1, (m1_subset_1 (esk28_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_orders_2 X1False)(∀X2 X1, r2_hidden X2 X1r2_hidden X1 X2False)(∀X1 X2, (v1_zfmisc_1 X2False)v1_zfmisc_1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v1_xboole_0 X2False)v1_xboole_0 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v6_ordinal1 X2False)v6_ordinal1 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, (v1_yellow11 X1False)(v2_struct_0 X1False)(m1_subset_1 (esk12_1 X1) (u1_struct_0 X1)False)l1_orders_2 X1False)(∀X1, (v1_yellow11 X1False)(v2_struct_0 X1False)(m1_subset_1 (esk11_1 X1) (u1_struct_0 X1)False)l1_orders_2 X1False)(∀X1, (v1_yellow11 X1False)(v2_struct_0 X1False)(m1_subset_1 (esk10_1 X1) (u1_struct_0 X1)False)l1_orders_2 X1False)(∀X1 X2, (v1_xboole_0 X2False)(r2_hidden X1 X2False)m1_subset_1 X1 X2False)(∀X1, (v3_lattice3 X1False)v3_orders_2 X1l1_orders_2 X1v13_struct_0 X1 np__1False)(∀X1, (v5_orders_2 X1False)v3_orders_2 X1l1_orders_2 X1v13_struct_0 X1 np__1False)(∀X1, (v4_orders_2 X1False)v3_orders_2 X1l1_orders_2 X1v13_struct_0 X1 np__1False)(∀X1, (v5_orders_2 X1False)(m1_subset_1 (esk14_1 X1) (u1_struct_0 X1)False)l1_orders_2 X1False)(∀X1, (v5_orders_2 X1False)(m1_subset_1 (esk13_1 X1) (u1_struct_0 X1)False)l1_orders_2 X1False)(∀X1, (v4_orders_2 X1False)(m1_subset_1 (esk9_1 X1) (u1_struct_0 X1)False)l1_orders_2 X1False)(∀X1, (v4_orders_2 X1False)(m1_subset_1 (esk8_1 X1) (u1_struct_0 X1)False)l1_orders_2 X1False)(∀X1, (v4_orders_2 X1False)(m1_subset_1 (esk7_1 X1) (u1_struct_0 X1)False)l1_orders_2 X1False)(∀X2 X1, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀X1, l1_struct_0 X1v2_struct_0 X1v13_struct_0 X1 np__1False)(∀X1 X2, (v3_ordinal1 X2False)v3_ordinal1 X1m1_subset_1 X2 X1False)(∀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, (v1_zfmisc_1 X1False)(m1_subset_1 (esk35_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk34_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk32_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk20_1 X1) (k1_zfmisc_1 X1)False)False)(∀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, (v7_struct_0 X1False)l1_struct_0 X1v1_zfmisc_1 (esk23_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 (esk31_1 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 (u1_struct_0 X1)False)(∀X1, (v6_orders_2 (esk28_1 X1) X1False)l1_orders_2 X1False)(∀X1, (v13_struct_0 X1 k1_xboole_0False)l1_struct_0 X1v2_struct_0 X1False)(∀X1, (v3_yellow_0 X1False)l1_orders_2 X1v1_yellow_0 X1v2_yellow_0 X1False)(∀X1, (v1_xboole_0 X1False)(v1_subset_1 (esk32_1 X1) X1False)False)(∀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)l1_struct_0 X1v2_struct_0 X1False)(∀X1, (v5_orders_2 X1False)(esk14_1 X1) = (esk13_1 X1)l1_orders_2 X1False)(∀X1, (v7_ordinal1 X1False)m1_subset_1 X1 k4_ordinal1False)(∀X1, (v2_struct_0 X1False)(v3_yellow_0 X1False)l1_orders_2 X1v3_lattice3 X1False)(∀X1, (v2_lattice3 X1False)(v2_struct_0 X1False)l1_orders_2 X1v3_lattice3 X1False)(∀X1, (v1_lattice3 X1False)(v2_struct_0 X1False)l1_orders_2 X1v3_lattice3 X1False)(∀X1, (v2_struct_0 X1False)(v1_zfmisc_1 (esk22_1 X1)False)l1_struct_0 X1False)(∀X1, v2_lattice3 X1l1_orders_2 X1v2_struct_0 X1False)(∀X1, v1_lattice3 X1l1_orders_2 X1v2_struct_0 X1False)(∀X1, (v1_zfmisc_1 X1False)v1_zfmisc_1 (esk35_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk34_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk20_1 X1)False)((m1_subset_1 esk6_0 (u1_struct_0 esk1_0)False)v1_yellow11 esk1_0False)((m1_subset_1 esk5_0 (u1_struct_0 esk1_0)False)v1_yellow11 esk1_0False)((m1_subset_1 esk4_0 (u1_struct_0 esk1_0)False)v1_yellow11 esk1_0False)((m1_subset_1 esk3_0 (u1_struct_0 esk1_0)False)v1_yellow11 esk1_0False)((m1_subset_1 esk2_0 (u1_struct_0 esk1_0)False)v1_yellow11 esk1_0False)(∀X1, (v2_yellow_0 X1False)l1_orders_2 X1v3_yellow_0 X1False)(∀X1, (v1_yellow_0 X1False)l1_orders_2 X1v3_yellow_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)l1_struct_0 X1v2_struct_0 X1False)(∀X1, (v8_struct_0 X1False)l1_struct_0 X1v2_struct_0 X1False)(∀X1, (v3_ordinal1 X1False)v1_ordinal1 X1v2_ordinal1 X1False)(∀X1, (v2_orders_2 X1False)v3_orders_2 X1l1_orders_2 X1False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v2_struct_0 X1False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v2_struct_0 X1False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v2_struct_0 X1False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)(∀X1, (v1_xboole_0 X1False)(v1_zfmisc_1 (esk34_1 X1)False)False)(∀X1, (v7_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (v5_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (v2_ordinal1 X1False)v3_ordinal1 X1False)(∀X1, (v1_ordinal1 X1False)v3_ordinal1 X1False)(∀X1, (v3_ordinal1 X1False)v7_ordinal1 X1False)(∀X1, (v3_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (l1_struct_0 X1False)l1_orders_2 X1False)(∀X1, (v6_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)(esk6_0 = esk5_0v1_yellow11 esk1_0False)(esk6_0 = esk4_0v1_yellow11 esk1_0False)(esk6_0 = esk3_0v1_yellow11 esk1_0False)(esk6_0 = esk2_0v1_yellow11 esk1_0False)(esk5_0 = esk4_0v1_yellow11 esk1_0False)(esk5_0 = esk3_0v1_yellow11 esk1_0False)(esk5_0 = esk2_0v1_yellow11 esk1_0False)(esk4_0 = esk3_0v1_yellow11 esk1_0False)(esk4_0 = esk2_0v1_yellow11 esk1_0False)(esk3_0 = esk2_0v1_yellow11 esk1_0False)(∀X1, v1_subset_1 (esk29_1 X1) X1False)(∀X1, v1_xboole_0 (k1_zfmisc_1 X1)False)(v1_xboole_0 esk33_0False)(v1_xboole_0 esk26_0False)(v1_xboole_0 esk24_0False)(v1_xboole_0 k4_ordinal1False)(v1_xboole_0 np__1False)(v2_struct_0 esk27_0False)((m2_subset_1 np__1 k1_numbers k5_numbersFalse)False)(∀X1, (m1_subset_1 (esk29_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk25_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk17_1 X1) X1False)False)((m1_subset_1 k5_numbers (k1_zfmisc_1 k1_numbers)False)False)(∀X1, (r1_tarski X1 X1False)False)((m1_subset_1 k1_xboole_0 k4_ordinal1False)False)((m1_subset_1 np__1 k1_numbersFalse)False)((m1_subset_1 np__1 k5_numbersFalse)False)(∀X1, (v1_xboole_0 (esk25_1 X1)False)False)((v2_xxreal_0 np__1False)False)((v7_ordinal1 esk33_0False)False)((v7_ordinal1 esk30_0False)False)((v3_lattice3 esk27_0False)False)((v1_xboole_0 esk21_0False)False)((v1_xboole_0 o_0_0_xboole_0False)False)((v1_xboole_0 k1_xboole_0False)False)((v2_ordinal1 esk24_0False)False)((v1_ordinal1 esk24_0False)False)((v3_ordinal1 esk24_0False)False)((v3_ordinal1 esk19_0False)False)((v3_ordinal1 k4_ordinal1False)False)((v2_orders_2 esk27_0False)False)((l1_struct_0 esk16_0False)False)((l1_orders_2 esk27_0False)False)((l1_orders_2 esk15_0False)False)((l1_orders_2 esk1_0False)False)((v2_lattice3 esk1_0False)False)((v1_lattice3 esk1_0False)False)((v5_orders_2 esk27_0False)False)((v5_orders_2 esk1_0False)False)((v4_orders_2 esk27_0False)False)((v4_orders_2 esk1_0False)False)((v3_orders_2 esk27_0False)False)((v3_orders_2 esk1_0False)False)((k4_ordinal1 = k5_numbersFalse)False)((o_0_0_xboole_0 = k1_xboole_0False)False)False
Proof:
The rest of the proof is missing.