Theorem. (t26_geomtrap)
∀r1_analmetr : setsetsetprop, ∀r1_geomtrap : setsetsetsetsetprop, ∀v1_subset_1 : setsetprop, ∀v7_struct_0 : setprop, ∀esk19_1 : setset, ∀l1_struct_0 : setprop, ∀esk18_1 : setset, ∀v4_membered : setprop, ∀v2_membered : setprop, ∀v6_membered : setprop, ∀v13_struct_0 : setsetprop, ∀np__1 : set, ∀v1_int_1 : setprop, ∀v1_xreal_0 : setprop, ∀v1_xcmplx_0 : setprop, ∀k1_xboole_0 : set, ∀k5_numbers : set, ∀esk27_1 : setset, ∀esk25_1 : setset, ∀l2_algstr_0 : setprop, ∀l2_struct_0 : setprop, ∀l1_algstr_0 : setprop, ∀esk23_1 : setset, ∀esk22_0 : set, ∀esk15_0 : set, ∀esk17_0 : set, ∀esk21_1 : setset, ∀k4_ordinal1 : set, ∀v2_xxreal_0 : setprop, ∀esk12_0 : set, ∀esk8_0 : set, ∀esk10_0 : set, ∀esk9_0 : set, ∀esk11_0 : set, ∀esk13_1 : setset, ∀esk20_0 : set, ∀esk2_0 : set, ∀esk4_0 : set, ∀esk7_0 : set, ∀esk6_0 : set, ∀esk5_0 : set, ∀esk3_0 : set, ∀esk1_0 : set, ∀v7_membered : setprop, ∀v1_finset_1 : setprop, ∀v8_struct_0 : setprop, ∀esk16_1 : setset, ∀esk26_1 : setset, ∀k1_numbers : set, ∀v1_xxreal_0 : setprop, ∀v1_rat_1 : setprop, ∀v7_ordinal1 : setprop, ∀v1_membered : setprop, ∀v3_membered : setprop, ∀v5_membered : setprop, ∀v1_zfmisc_1 : setprop, ∀r1_tarski : setsetprop, ∀esk24_1 : setset, ∀r2_hidden : setsetprop, ∀esk14_2 : setsetset, ∀m2_subset_1 : setsetsetprop, ∀k1_zfmisc_1 : setset, ∀v1_xboole_0 : setprop, ∀r2_geomtrap : setsetsetsetsetsetsetprop, ∀v2_rlvect_1 : setprop, ∀v4_rlvect_1 : setprop, ∀v6_rlvect_1 : setprop, ∀v8_rlvect_1 : setprop, ∀u1_struct_0 : setset, ∀m1_subset_1 : setsetprop, ∀r1_analoaf : setsetsetsetsetprop, ∀k1_geomtrap : setsetsetset, ∀r3_analmetr : setsetsetsetsetsetsetprop, ∀l1_rlvect_1 : setprop, ∀v7_rlvect_1 : setprop, ∀v5_rlvect_1 : setprop, ∀v3_rlvect_1 : setprop, ∀v13_algstr_0 : setprop, ∀v2_struct_0 : setprop, (∀X6 X4 X2 X3 X5 X7 X1, (v2_struct_0 X1False)(r2_geomtrap X1 X6 X7 X2 X3 X4 X5False)v13_algstr_0 X1v2_rlvect_1 X1v3_rlvect_1 X1v4_rlvect_1 X1v5_rlvect_1 X1v6_rlvect_1 X1v7_rlvect_1 X1v8_rlvect_1 X1l1_rlvect_1 X1m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_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)r1_analoaf X1 X2 X3 X4 X5r3_analmetr X1 X4 X5 (k1_geomtrap X1 X2 X3) (k1_geomtrap X1 X4 X5) X6 X7r3_analmetr X1 X2 X3 (k1_geomtrap X1 X2 X3) (k1_geomtrap X1 X4 X5) X6 X7False)(∀X1 X2 X4 X7 X6 X5 X3 X8 X9, (X8 = X9False)(v2_struct_0 X1False)(r3_analmetr X1 X2 X3 X4 X5 X6 X7False)v13_algstr_0 X1v2_rlvect_1 X1v3_rlvect_1 X1v4_rlvect_1 X1v5_rlvect_1 X1v6_rlvect_1 X1v7_rlvect_1 X1v8_rlvect_1 X1l1_rlvect_1 X1r1_analmetr X1 X6 X7m1_subset_1 X9 (u1_struct_0 X1)m1_subset_1 X8 (u1_struct_0 X1)m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_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)r1_geomtrap X1 X2 X3 X8 X9r3_analmetr X1 X4 X5 X8 X9 X6 X7False)(∀X1 X2 X4 X7 X6 X5 X3 X8 X9, (X8 = X9False)(v2_struct_0 X1False)(r3_analmetr X1 X2 X3 X4 X5 X6 X7False)v13_algstr_0 X1v2_rlvect_1 X1v3_rlvect_1 X1v4_rlvect_1 X1v5_rlvect_1 X1v6_rlvect_1 X1v7_rlvect_1 X1v8_rlvect_1 X1l1_rlvect_1 X1r1_analmetr X1 X6 X7m1_subset_1 X9 (u1_struct_0 X1)m1_subset_1 X8 (u1_struct_0 X1)m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_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)r1_geomtrap X1 X2 X3 X8 X9r3_analmetr X1 X8 X9 X4 X5 X6 X7False)(∀X1 X2 X4 X7 X6 X5 X3 X8 X9, (X8 = X9False)(v2_struct_0 X1False)(r3_analmetr X1 X2 X3 X4 X5 X6 X7False)v13_algstr_0 X1v2_rlvect_1 X1v3_rlvect_1 X1v4_rlvect_1 X1v5_rlvect_1 X1v6_rlvect_1 X1v7_rlvect_1 X1v8_rlvect_1 X1l1_rlvect_1 X1r1_analmetr X1 X6 X7m1_subset_1 X9 (u1_struct_0 X1)m1_subset_1 X8 (u1_struct_0 X1)m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_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)r1_geomtrap X1 X4 X5 X8 X9r3_analmetr X1 X2 X3 X8 X9 X6 X7False)(∀X1 X2 X4 X7 X6 X5 X3 X8 X9, (X8 = X9False)(v2_struct_0 X1False)(r3_analmetr X1 X2 X3 X4 X5 X6 X7False)v13_algstr_0 X1v2_rlvect_1 X1v3_rlvect_1 X1v4_rlvect_1 X1v5_rlvect_1 X1v6_rlvect_1 X1v7_rlvect_1 X1v8_rlvect_1 X1l1_rlvect_1 X1r1_analmetr X1 X6 X7m1_subset_1 X9 (u1_struct_0 X1)m1_subset_1 X8 (u1_struct_0 X1)m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_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)r1_geomtrap X1 X4 X5 X8 X9r3_analmetr X1 X8 X9 X2 X3 X6 X7False)(∀X1 X2 X4 X7 X6 X5 X3 X8 X9, (X8 = X9False)(v2_struct_0 X1False)(r3_analmetr X1 X2 X3 X4 X5 X6 X7False)v13_algstr_0 X1v2_rlvect_1 X1v3_rlvect_1 X1v4_rlvect_1 X1v5_rlvect_1 X1v6_rlvect_1 X1v7_rlvect_1 X1v8_rlvect_1 X1l1_rlvect_1 X1r1_analmetr X1 X6 X7m1_subset_1 X9 (u1_struct_0 X1)m1_subset_1 X8 (u1_struct_0 X1)m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_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)r1_geomtrap X1 X8 X9 X2 X3r3_analmetr X1 X4 X5 X8 X9 X6 X7False)(∀X1 X2 X4 X7 X6 X5 X3 X8 X9, (X8 = X9False)(v2_struct_0 X1False)(r3_analmetr X1 X2 X3 X4 X5 X6 X7False)v13_algstr_0 X1v2_rlvect_1 X1v3_rlvect_1 X1v4_rlvect_1 X1v5_rlvect_1 X1v6_rlvect_1 X1v7_rlvect_1 X1v8_rlvect_1 X1l1_rlvect_1 X1r1_analmetr X1 X6 X7m1_subset_1 X9 (u1_struct_0 X1)m1_subset_1 X8 (u1_struct_0 X1)m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_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)r1_geomtrap X1 X8 X9 X2 X3r3_analmetr X1 X8 X9 X4 X5 X6 X7False)(∀X1 X2 X4 X7 X6 X5 X3 X8 X9, (X8 = X9False)(v2_struct_0 X1False)(r3_analmetr X1 X2 X3 X4 X5 X6 X7False)v13_algstr_0 X1v2_rlvect_1 X1v3_rlvect_1 X1v4_rlvect_1 X1v5_rlvect_1 X1v6_rlvect_1 X1v7_rlvect_1 X1v8_rlvect_1 X1l1_rlvect_1 X1r1_analmetr X1 X6 X7m1_subset_1 X9 (u1_struct_0 X1)m1_subset_1 X8 (u1_struct_0 X1)m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_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)r1_geomtrap X1 X8 X9 X4 X5r3_analmetr X1 X2 X3 X8 X9 X6 X7False)(∀X1 X2 X4 X7 X6 X5 X3 X8 X9, (X8 = X9False)(v2_struct_0 X1False)(r3_analmetr X1 X2 X3 X4 X5 X6 X7False)v13_algstr_0 X1v2_rlvect_1 X1v3_rlvect_1 X1v4_rlvect_1 X1v5_rlvect_1 X1v6_rlvect_1 X1v7_rlvect_1 X1v8_rlvect_1 X1l1_rlvect_1 X1r1_analmetr X1 X6 X7m1_subset_1 X9 (u1_struct_0 X1)m1_subset_1 X8 (u1_struct_0 X1)m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_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)r1_geomtrap X1 X8 X9 X4 X5r3_analmetr X1 X8 X9 X2 X3 X6 X7False)(∀X6 X4 X2 X3 X5 X7 X1, (v2_struct_0 X1False)(r3_analmetr X1 X2 X3 (k1_geomtrap X1 X2 X3) (k1_geomtrap X1 X4 X5) X6 X7False)v13_algstr_0 X1v2_rlvect_1 X1v3_rlvect_1 X1v4_rlvect_1 X1v5_rlvect_1 X1v6_rlvect_1 X1v7_rlvect_1 X1v8_rlvect_1 X1l1_rlvect_1 X1m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_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)r2_geomtrap X1 X6 X7 X2 X3 X4 X5False)(∀X6 X4 X2 X3 X5 X7 X1, (v2_struct_0 X1False)(r3_analmetr X1 X2 X3 (k1_geomtrap X1 X4 X5) (k1_geomtrap X1 X2 X3) X6 X7False)v13_algstr_0 X1v2_rlvect_1 X1v3_rlvect_1 X1v4_rlvect_1 X1v5_rlvect_1 X1v6_rlvect_1 X1v7_rlvect_1 X1v8_rlvect_1 X1l1_rlvect_1 X1m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_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)r2_geomtrap X1 X6 X7 X4 X5 X2 X3False)(∀X3 X4 X5 X2 X7 X6 X1, (v2_struct_0 X1False)(r1_analoaf X1 X2 X3 X4 X5False)v13_algstr_0 X1v2_rlvect_1 X1v3_rlvect_1 X1v4_rlvect_1 X1v5_rlvect_1 X1v6_rlvect_1 X1v7_rlvect_1 X1v8_rlvect_1 X1l1_rlvect_1 X1m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_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)r2_geomtrap X1 X6 X7 X2 X3 X4 X5False)(∀X4 X3 X2 X6 X5 X1, (v2_struct_0 X1False)(r3_analmetr X1 X2 X2 X3 X4 X5 X6False)v13_algstr_0 X1v2_rlvect_1 X1v3_rlvect_1 X1v4_rlvect_1 X1v5_rlvect_1 X1v6_rlvect_1 X1v7_rlvect_1 X1v8_rlvect_1 X1l1_rlvect_1 X1r1_analmetr X1 X5 X6m1_subset_1 X6 (u1_struct_0 X1)m1_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)(∀X4 X3 X2 X6 X5 X1, (v2_struct_0 X1False)(r3_analmetr X1 X2 X3 X4 X4 X5 X6False)v13_algstr_0 X1v2_rlvect_1 X1v3_rlvect_1 X1v4_rlvect_1 X1v5_rlvect_1 X1v6_rlvect_1 X1v7_rlvect_1 X1v8_rlvect_1 X1l1_rlvect_1 X1r1_analmetr X1 X5 X6m1_subset_1 X6 (u1_struct_0 X1)m1_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)(∀X4 X2 X3 X5 X1, (v2_struct_0 X1False)(r1_analoaf X1 X2 X3 X5 X4False)(r1_analoaf X1 X2 X3 X4 X5False)v13_algstr_0 X1v2_rlvect_1 X1v3_rlvect_1 X1v4_rlvect_1 X1v5_rlvect_1 X1v6_rlvect_1 X1v7_rlvect_1 X1v8_rlvect_1 X1l1_rlvect_1 X1m1_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)r1_geomtrap X1 X2 X3 X4 X5False)(∀X4 X2 X3 X5 X1, (v2_struct_0 X1False)(r1_analoaf X1 X2 X3 (k1_geomtrap X1 X2 X4) (k1_geomtrap X1 X3 X5)False)v13_algstr_0 X1v2_rlvect_1 X1v3_rlvect_1 X1v4_rlvect_1 X1v5_rlvect_1 X1v6_rlvect_1 X1v7_rlvect_1 X1v8_rlvect_1 X1l1_rlvect_1 X1m1_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)r1_analoaf X1 X2 X3 X4 X5False)(∀X4 X2 X3 X5 X1, (v2_struct_0 X1False)(r1_analoaf X1 X2 X3 X4 X5False)v13_algstr_0 X1v2_rlvect_1 X1v3_rlvect_1 X1v4_rlvect_1 X1v5_rlvect_1 X1v6_rlvect_1 X1v7_rlvect_1 X1v8_rlvect_1 X1l1_rlvect_1 X1m1_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)r1_analoaf X1 X3 X2 X5 X4False)(∀X4 X2 X3 X5 X1, (v2_struct_0 X1False)(r1_analoaf X1 X2 X3 X4 X5False)v13_algstr_0 X1v2_rlvect_1 X1v3_rlvect_1 X1v4_rlvect_1 X1v5_rlvect_1 X1v6_rlvect_1 X1v7_rlvect_1 X1v8_rlvect_1 X1l1_rlvect_1 X1m1_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)r1_analoaf X1 X4 X5 X2 X3False)(∀X4 X2 X3 X5 X1, (v2_struct_0 X1False)(r1_geomtrap X1 X2 X3 X4 X5False)v13_algstr_0 X1v2_rlvect_1 X1v3_rlvect_1 X1v4_rlvect_1 X1v5_rlvect_1 X1v6_rlvect_1 X1v7_rlvect_1 X1v8_rlvect_1 X1l1_rlvect_1 X1m1_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)r1_analoaf X1 X2 X3 X4 X5False)(∀X4 X2 X3 X5 X1, (v2_struct_0 X1False)(r1_geomtrap X1 X2 X3 X5 X4False)v13_algstr_0 X1v2_rlvect_1 X1v3_rlvect_1 X1v4_rlvect_1 X1v5_rlvect_1 X1v6_rlvect_1 X1v7_rlvect_1 X1v8_rlvect_1 X1l1_rlvect_1 X1m1_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)r1_analoaf X1 X2 X3 X4 X5False)(∀X3 X2 X1, (v2_struct_0 X1False)(r1_analoaf X1 X2 X3 (k1_geomtrap X1 X2 X3) X3False)v13_algstr_0 X1v2_rlvect_1 X1v3_rlvect_1 X1v4_rlvect_1 X1v5_rlvect_1 X1v6_rlvect_1 X1v7_rlvect_1 X1v8_rlvect_1 X1l1_rlvect_1 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X3 X2 X1, (v2_struct_0 X1False)(r1_analoaf X1 X2 X3 X2 (k1_geomtrap X1 X2 X3)False)v13_algstr_0 X1v2_rlvect_1 X1v3_rlvect_1 X1v4_rlvect_1 X1v5_rlvect_1 X1v6_rlvect_1 X1v7_rlvect_1 X1v8_rlvect_1 X1l1_rlvect_1 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X4 X3 X2 X5 X1, ((k1_geomtrap X1 (k1_geomtrap X1 X2 X3) (k1_geomtrap X1 X4 X5)) = (k1_geomtrap X1 (k1_geomtrap X1 X2 X4) (k1_geomtrap X1 X3 X5))False)(v2_struct_0 X1False)v13_algstr_0 X1v2_rlvect_1 X1v3_rlvect_1 X1v4_rlvect_1 X1v5_rlvect_1 X1v6_rlvect_1 X1v7_rlvect_1 X1v8_rlvect_1 X1l1_rlvect_1 X1m1_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)(∀X3 X2 X1, (v2_struct_0 X1False)(m1_subset_1 (k1_geomtrap X1 X2 X3) (u1_struct_0 X1)False)v13_algstr_0 X1v2_rlvect_1 X1v3_rlvect_1 X1v4_rlvect_1 X1v5_rlvect_1 X1v6_rlvect_1 X1v7_rlvect_1 X1v8_rlvect_1 X1l1_rlvect_1 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X3 X2 X1, ((k1_geomtrap X1 X2 X3) = (k1_geomtrap X1 X3 X2)False)(v2_struct_0 X1False)v13_algstr_0 X1v2_rlvect_1 X1v3_rlvect_1 X1v4_rlvect_1 X1v5_rlvect_1 X1v6_rlvect_1 X1v7_rlvect_1 X1v8_rlvect_1 X1l1_rlvect_1 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X3 X1 X2, ((k1_geomtrap X1 X2 X2) = X2False)(v2_struct_0 X1False)v13_algstr_0 X1v2_rlvect_1 X1v3_rlvect_1 X1v4_rlvect_1 X1v5_rlvect_1 X1v6_rlvect_1 X1v7_rlvect_1 X1v8_rlvect_1 X1l1_rlvect_1 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)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(m2_subset_1 (esk14_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)(∀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)(∀X1, (v7_struct_0 X1False)(m1_subset_1 (esk19_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)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk18_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)(∀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, (v5_membered X2False)v5_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v4_membered X2False)v4_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v3_membered X2False)v3_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v2_membered X2False)v2_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v1_membered X2False)v1_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v6_membered X2False)v6_membered 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, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀X1, v2_struct_0 X1l1_struct_0 X1v13_struct_0 X1 np__1False)(∀X1 X2, (v7_ordinal1 X2False)v6_membered X1m1_subset_1 X2 X1False)(∀X1 X2, (v1_int_1 X2False)v5_membered X1m1_subset_1 X2 X1False)(∀X1 X2, (v1_rat_1 X2False)v4_membered X1m1_subset_1 X2 X1False)(∀X1 X2, (v1_xreal_0 X2False)v3_membered X1m1_subset_1 X2 X1False)(∀X1 X2, (v1_xxreal_0 X2False)v2_membered X1m1_subset_1 X2 X1False)(∀X1 X2, (v1_xcmplx_0 X2False)v1_membered 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, (v3_membered X1False)m1_subset_1 X1 (k1_zfmisc_1 k1_numbers)False)(∀X1, (v6_membered X1False)m1_subset_1 X1 (k1_zfmisc_1 k5_numbers)False)(∀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 (esk27_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk26_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk25_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk16_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 (esk19_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 (esk24_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (esk18_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (u1_struct_0 X1)False)(∀X1, (v13_struct_0 X1 k1_xboole_0False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v1_xboole_0 X1False)(v1_subset_1 (esk25_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)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v6_membered X1False)m1_subset_1 X1 k5_numbersFalse)(∀X1, (v2_struct_0 X1False)(v1_zfmisc_1 (esk18_1 X1)False)l1_struct_0 X1False)(∀X1, (v1_zfmisc_1 X1False)v1_zfmisc_1 (esk27_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk26_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk16_1 X1)False)(∀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, (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, (v1_xboole_0 X1False)(v1_zfmisc_1 (esk26_1 X1)False)False)(∀X1, (l2_struct_0 X1False)l2_algstr_0 X1False)(∀X1, (l2_algstr_0 X1False)l1_rlvect_1 X1False)(∀X1, (l1_algstr_0 X1False)l2_algstr_0 X1False)(∀X1, (v7_membered X1False)v1_xboole_0 X1False)(∀X1, (v5_membered X1False)v6_membered X1False)(∀X1, (v4_membered X1False)v5_membered X1False)(∀X1, (v3_membered X1False)v4_membered X1False)(∀X1, (v2_membered X1False)v3_membered X1False)(∀X1, (v1_membered X1False)v3_membered X1False)(∀X1, (v6_membered X1False)v1_xboole_0 X1False)(∀X1, (l1_struct_0 X1False)l2_struct_0 X1False)(∀X1, (l1_struct_0 X1False)l1_algstr_0 X1False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)(r2_geomtrap esk1_0 esk2_0 esk3_0 esk4_0 esk5_0 (k1_geomtrap esk1_0 esk4_0 esk6_0) (k1_geomtrap esk1_0 esk5_0 esk7_0)False)(∀X1, v1_subset_1 (esk23_1 X1) X1False)(∀X1, v1_xboole_0 (k1_zfmisc_1 X1)False)(v1_xboole_0 esk22_0False)(v1_xboole_0 esk20_0False)(v1_xboole_0 esk15_0False)(v1_xboole_0 np__1False)(v2_struct_0 esk17_0False)(v2_struct_0 esk1_0False)((r2_geomtrap esk1_0 esk2_0 esk3_0 esk4_0 esk5_0 esk6_0 esk7_0False)False)((m2_subset_1 np__1 k1_numbers k5_numbersFalse)False)((r1_analmetr esk1_0 esk2_0 esk3_0False)False)(∀X1, (m1_subset_1 (esk23_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk21_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk13_1 X1) X1False)False)((m1_subset_1 esk7_0 (u1_struct_0 esk1_0)False)False)((m1_subset_1 esk6_0 (u1_struct_0 esk1_0)False)False)((m1_subset_1 esk5_0 (u1_struct_0 esk1_0)False)False)((m1_subset_1 esk4_0 (u1_struct_0 esk1_0)False)False)((m1_subset_1 esk3_0 (u1_struct_0 esk1_0)False)False)((m1_subset_1 esk2_0 (u1_struct_0 esk1_0)False)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 (esk21_1 X1)False)False)((v2_xxreal_0 np__1False)False)((l2_struct_0 esk17_0False)False)((l2_struct_0 esk12_0False)False)((l2_algstr_0 esk11_0False)False)((l1_algstr_0 esk8_0False)False)((v7_membered esk22_0False)False)((v7_membered k4_ordinal1False)False)((v7_membered k1_numbersFalse)False)((v3_membered k1_numbersFalse)False)((v6_membered esk22_0False)False)((v6_membered esk20_0False)False)((v6_membered esk15_0False)False)((v6_membered k4_ordinal1False)False)((v7_struct_0 esk17_0False)False)((l1_struct_0 esk10_0False)False)((l1_rlvect_1 esk9_0False)False)((l1_rlvect_1 esk1_0False)False)((v8_rlvect_1 esk1_0False)False)((v7_rlvect_1 esk1_0False)False)((v6_rlvect_1 esk1_0False)False)((v5_rlvect_1 esk1_0False)False)((v4_rlvect_1 esk1_0False)False)((v3_rlvect_1 esk1_0False)False)((v2_rlvect_1 esk1_0False)False)((v13_algstr_0 esk1_0False)False)((k4_ordinal1 = k5_numbersFalse)False)False
Proof:
The rest of the proof is missing.