Theorem. (t13_catalan1)
∀k10_real_1 : setsetset, ∀v1_xcmplx_0 : setprop, ∀k3_xcmplx_0 : setsetset, ∀k4_xcmplx_0 : setset, ∀r1_tarski : setsetprop, ∀v5_membered : setprop, ∀v3_membered : setprop, ∀v1_membered : setprop, ∀v1_xxreal_0 : setprop, ∀k4_newton : setsetset, ∀v3_ordinal1 : setprop, ∀np__0 : set, ∀esk1_0 : set, ∀esk12_0 : set, ∀esk10_0 : set, ∀esk4_0 : set, ∀esk14_0 : set, ∀esk17_0 : set, ∀esk19_0 : set, ∀esk6_0 : set, ∀esk7_0 : set, ∀esk9_0 : set, ∀esk8_0 : set, ∀esk18_0 : set, ∀esk16_0 : set, ∀esk13_0 : set, ∀k4_ordinal1 : set, ∀esk2_1 : setset, ∀esk5_0 : set, ∀esk11_0 : set, ∀esk15_0 : set, ∀k1_xboole_0 : set, ∀v7_membered : setprop, ∀k6_numbers : set, ∀v1_rat_1 : setprop, ∀v6_membered : setprop, ∀v2_membered : setprop, ∀v4_membered : setprop, ∀v1_int_1 : setprop, ∀k1_xreal_0 : setsetset, ∀r2_hidden : setsetprop, ∀k6_xcmplx_0 : setsetset, ∀v3_xxreal_0 : setprop, ∀v1_xreal_0 : setprop, ∀v2_xxreal_0 : setprop, ∀k7_xcmplx_0 : setsetset, ∀k1_numbers : set, ∀k5_numbers : set, ∀esk3_2 : setsetset, ∀m2_subset_1 : setsetsetprop, ∀k1_zfmisc_1 : setset, ∀m1_subset_1 : setsetprop, ∀v1_xboole_0 : setprop, ∀k1_catalan1 : setset, ∀k7_nat_d : setsetset, ∀np__2 : set, ∀k4_nat_1 : setsetset, ∀k6_newton : setsetset, ∀np__4 : set, ∀np__3 : set, ∀k9_real_1 : setsetset, ∀np__1 : set, ∀r1_xxreal_0 : setsetprop, ∀v7_ordinal1 : setprop, (∀X1, ((k9_real_1 (k4_nat_1 np__4 (k6_newton (k7_nat_d X1 np__1) (k7_nat_d (k4_nat_1 np__2 X1) np__3))) (k6_newton (k7_nat_d X1 np__1) (k7_nat_d (k4_nat_1 np__2 X1) np__1))) = (k1_catalan1 X1)False)(r1_xxreal_0 X1 np__1False)v7_ordinal1 X1False)(∀X1, ((k10_real_1 (k6_newton (k7_nat_d X1 np__1) (k7_nat_d (k4_nat_1 np__2 X1) np__2)) X1) = (k1_catalan1 X1)False)v7_ordinal1 X1False)(∀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 (esk3_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, (m2_subset_1 (k4_nat_1 X1 X2) k1_numbers k5_numbersFalse)v7_ordinal1 X2m1_subset_1 X1 k5_numbersFalse)(∀X1 X2 X3, ((k3_xcmplx_0 (k3_xcmplx_0 X1 X2) X3) = (k3_xcmplx_0 X1 (k3_xcmplx_0 X2 X3))False)v1_xcmplx_0 X3v1_xcmplx_0 X2v1_xcmplx_0 X1False)(∀X1 X2 X3, ((k7_xcmplx_0 (k3_xcmplx_0 X1 X2) X3) = (k3_xcmplx_0 X1 (k7_xcmplx_0 X2 X3))False)v1_xcmplx_0 X3v1_xcmplx_0 X2v1_xcmplx_0 X1False)(∀X2 X1, (m2_subset_1 (k6_newton X1 X2) k1_numbers k5_numbersFalse)v7_ordinal1 X2v7_ordinal1 X1False)(∀X1 X2, (v2_xxreal_0 X2False)(v2_xxreal_0 X1False)v1_xreal_0 X2v1_xreal_0 X1v3_xxreal_0 (k7_xcmplx_0 X1 X2)False)(∀X1 X2, (v2_xxreal_0 X2False)(v2_xxreal_0 X1False)v1_xreal_0 X2v1_xreal_0 X1v3_xxreal_0 (k3_xcmplx_0 X1 X2)False)(∀X2 X1, (v3_xxreal_0 X1False)(v2_xxreal_0 X2False)v1_xreal_0 X2v1_xreal_0 X1v2_xxreal_0 (k7_xcmplx_0 X1 X2)False)(∀X2 X1, (v3_xxreal_0 X1False)(v2_xxreal_0 X2False)v1_xreal_0 X2v1_xreal_0 X1v2_xxreal_0 (k7_xcmplx_0 X2 X1)False)(∀X2 X1, (v3_xxreal_0 X1False)(v2_xxreal_0 X2False)v1_xreal_0 X2v1_xreal_0 X1v2_xxreal_0 (k6_xcmplx_0 X2 X1)False)(∀X2 X1, (v3_xxreal_0 X1False)(v2_xxreal_0 X2False)v1_xreal_0 X2v1_xreal_0 X1v3_xxreal_0 (k6_xcmplx_0 X1 X2)False)(∀X1 X2, (v3_xxreal_0 X2False)(v2_xxreal_0 X1False)v1_xreal_0 X2v1_xreal_0 X1v2_xxreal_0 (k3_xcmplx_0 X1 X2)False)(∀X1 X2, (v3_xxreal_0 X2False)(v2_xxreal_0 X1False)v1_xreal_0 X2v1_xreal_0 X1v2_xxreal_0 (k3_xcmplx_0 X2 X1)False)(∀X1 X2, (v3_xxreal_0 X2False)(v3_xxreal_0 X1False)v1_xreal_0 X2v1_xreal_0 X1v3_xxreal_0 (k7_xcmplx_0 X1 X2)False)(∀X1 X2, (v3_xxreal_0 X2False)(v3_xxreal_0 X1False)v1_xreal_0 X2v1_xreal_0 X1v3_xxreal_0 (k3_xcmplx_0 X1 X2)False)(∀X2 X1 X3, (m1_subset_1 X1 X3False)r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X2 X1, (m1_subset_1 (k9_real_1 X1 X2) k1_numbersFalse)v1_xreal_0 X2m1_subset_1 X1 k1_numbersFalse)(∀X2 X1, (m1_subset_1 (k10_real_1 X1 X2) k1_numbersFalse)v1_xreal_0 X2m1_subset_1 X1 k1_numbersFalse)(∀X2 X1 X3, v1_xboole_0 X3r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X1 X2, v1_xreal_0 X2v1_xreal_0 X1v3_xxreal_0 (k1_xreal_0 X1 X2)False)(∀X1 X2, (v2_xxreal_0 X2False)(v2_xxreal_0 (k6_xcmplx_0 X1 X2)False)v1_xreal_0 X2v1_xreal_0 X1v2_xxreal_0 X1False)(∀X1 X2, (v2_xxreal_0 X2False)(v3_xxreal_0 (k6_xcmplx_0 X2 X1)False)v1_xreal_0 X2v1_xreal_0 X1v2_xxreal_0 X1False)(∀X1 X2, (v3_xxreal_0 X2False)(v2_xxreal_0 (k6_xcmplx_0 X2 X1)False)v1_xreal_0 X2v1_xreal_0 X1v3_xxreal_0 X1False)(∀X1 X2, (v3_xxreal_0 X2False)(v3_xxreal_0 (k6_xcmplx_0 X1 X2)False)v1_xreal_0 X2v1_xreal_0 X1v3_xxreal_0 X1False)(∀X2 X1, ((k10_real_1 X1 X2) = (k7_xcmplx_0 X1 X2)False)v1_xreal_0 X2m1_subset_1 X1 k1_numbersFalse)(∀X2 X1, ((k9_real_1 X1 X2) = (k6_xcmplx_0 X1 X2)False)v1_xreal_0 X2m1_subset_1 X1 k1_numbersFalse)(∀X2 X1, ((k4_nat_1 X1 X2) = (k4_nat_1 X2 X1)False)v7_ordinal1 X2m1_subset_1 X1 k5_numbersFalse)(∀X2 X1, ((k4_nat_1 X1 X2) = (k3_xcmplx_0 X1 X2)False)v7_ordinal1 X2m1_subset_1 X1 k5_numbersFalse)(∀X2 X1, ((k6_xcmplx_0 (k4_xcmplx_0 X1) (k4_xcmplx_0 X2)) = (k6_xcmplx_0 X2 X1)False)v1_xcmplx_0 X2v1_xcmplx_0 X1False)(∀X2 X1, (m1_subset_1 (k7_nat_d X1 X2) k5_numbersFalse)v7_ordinal1 X2v7_ordinal1 X1False)(∀X2 X1, (v1_xboole_0 X1False)(v3_xxreal_0 X1False)(v2_xxreal_0 X2False)v1_xreal_0 X2v1_xreal_0 X1r1_xxreal_0 X1 X2False)(∀X1 X2, (v1_xboole_0 X2False)(v3_xxreal_0 X1False)(v2_xxreal_0 X2False)v1_xreal_0 X2v1_xreal_0 X1r1_xxreal_0 X1 X2False)(∀X1 X2, (v2_xxreal_0 X2False)v1_xreal_0 X2v1_xreal_0 X1v2_xxreal_0 X1r1_xxreal_0 X1 X2False)(∀X1 X2, (v2_xxreal_0 X2False)v1_xreal_0 X2v1_xreal_0 X1v2_xxreal_0 X1r1_xxreal_0 X1 X2False)(∀X2 X1, (v3_xxreal_0 X1False)v1_xreal_0 X2v1_xreal_0 X1v3_xxreal_0 X2r1_xxreal_0 X1 X2False)(∀X2 X1, (v3_xxreal_0 X1False)v1_xreal_0 X2v1_xreal_0 X1v3_xxreal_0 X2r1_xxreal_0 X1 X2False)(∀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, (v1_xreal_0 (k1_xreal_0 X1 X2)False)v1_xreal_0 X2v1_xreal_0 X1False)(∀X2 X1, (v1_xreal_0 (k1_xreal_0 X1 X2)False)v1_xreal_0 X2v1_xreal_0 X1False)(∀X2 X1, (v1_xreal_0 (k7_xcmplx_0 X1 X2)False)v1_xreal_0 X2v1_xreal_0 X1False)(∀X2 X1, (v1_xreal_0 (k6_xcmplx_0 X1 X2)False)v1_xreal_0 X2v1_xreal_0 X1False)(∀X2 X1, (v1_xreal_0 (k3_xcmplx_0 X1 X2)False)v1_xreal_0 X2v1_xreal_0 X1False)(∀X2 X1, (v1_int_1 (k6_xcmplx_0 X1 X2)False)v1_int_1 X2v1_int_1 X1False)(∀X2 X1, (v1_int_1 (k3_xcmplx_0 X1 X2)False)v1_int_1 X2v1_int_1 X1False)(∀X2 X1, (v7_ordinal1 (k3_xcmplx_0 X1 X2)False)v7_ordinal1 X2v7_ordinal1 X1False)(∀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, (r1_xxreal_0 X2 X1False)(r1_xxreal_0 X1 X2False)v1_xxreal_0 X2v1_xxreal_0 X1False)(∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2)False)r1_tarski X1 X2False)(∀X2 X1, ((k4_newton X1 X2) = (k6_newton X1 X2)False)v7_ordinal1 X2v7_ordinal1 X1False)(∀X2 X1, ((k1_xreal_0 X1 X2) = (k7_nat_d X1 X2)False)v7_ordinal1 X2v7_ordinal1 X1False)(∀X2 X1, ((k3_xcmplx_0 X1 X2) = (k3_xcmplx_0 X2 X1)False)v1_xcmplx_0 X2v1_xcmplx_0 X1False)(∀X1 X2, (v1_xboole_0 X2False)(r2_hidden X1 X2False)m1_subset_1 X1 X2False)(∀X1 X2, (v3_xxreal_0 X2False)(v2_xxreal_0 X1False)(r1_xxreal_0 X1 X2False)v1_xreal_0 X2v1_xreal_0 X1False)(∀X1 X2, (v3_xxreal_0 X2False)(v2_xxreal_0 X1False)(r1_xxreal_0 X1 X2False)v1_xreal_0 X2v1_xreal_0 X1False)(∀X2 X1, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀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 X2, (v1_int_1 X2False)v5_membered X1m1_subset_1 X2 X1False)(∀X1 X2, (v7_ordinal1 X2False)v6_membered X1m1_subset_1 X2 X1False)(∀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, (X1 = np__1False)(X1 = k6_numbersFalse)v7_ordinal1 X1r1_xxreal_0 X1 np__1False)(∀X1 X2, v1_xboole_0 X2r2_hidden X1 X2False)(∀X2 X1, (r1_xxreal_0 X1 X1False)v1_xxreal_0 X2v1_xxreal_0 X1False)(∀X1, (v2_xxreal_0 X1False)v1_xreal_0 X1v3_xxreal_0 (k4_xcmplx_0 X1)False)(∀X1, (v3_xxreal_0 X1False)v1_xreal_0 X1v2_xxreal_0 (k4_xcmplx_0 X1)False)(∀X1, ((k3_xcmplx_0 X1 (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 X1)False)v1_xcmplx_0 X1False)(∀X1, v3_xxreal_0 X1m1_subset_1 X1 k5_numbersFalse)(∀X1, (m1_subset_1 (k1_catalan1 X1) k1_numbersFalse)v7_ordinal1 X1False)(∀X1, (v1_xreal_0 X1False)m1_subset_1 X1 k1_numbersFalse)(∀X1, (v6_membered X1False)m1_subset_1 X1 k5_numbersFalse)(∀X1, (v2_xxreal_0 X1False)(v1_xcmplx_0 (k4_xcmplx_0 X1)False)v1_xreal_0 X1False)(∀X1, (v3_xxreal_0 X1False)(v1_xcmplx_0 (k4_xcmplx_0 X1)False)v1_xreal_0 X1False)(∀X1, v1_xxreal_0 X1v3_xxreal_0 X1v2_xxreal_0 X1False)(∀X1, v1_xxreal_0 X1v3_xxreal_0 X1v2_xxreal_0 X1False)(∀X1, v1_xxreal_0 X1v1_xboole_0 X1v2_xxreal_0 X1False)(∀X1, v1_xxreal_0 X1v1_xboole_0 X1v2_xxreal_0 X1False)(∀X1, v1_xxreal_0 X1v1_xboole_0 X1v3_xxreal_0 X1False)(∀X1, v1_xxreal_0 X1v1_xboole_0 X1v3_xxreal_0 X1False)(∀X1, (v1_xboole_0 X1False)(v3_xxreal_0 X1False)(v2_xxreal_0 X1False)v1_xxreal_0 X1False)(∀X1, (v1_xboole_0 X1False)(v3_xxreal_0 X1False)(v2_xxreal_0 X1False)v1_xxreal_0 X1False)(∀X1, (v1_xboole_0 X1False)(v3_xxreal_0 X1False)(v2_xxreal_0 X1False)v1_xxreal_0 X1False)(∀X1, ((k3_xcmplx_0 np__1 X1) = X1False)v1_xcmplx_0 X1False)(∀X1, ((k7_xcmplx_0 X1 np__1) = X1False)v1_xcmplx_0 X1False)(∀X1, ((k6_xcmplx_0 X1 k6_numbers) = X1False)v1_xcmplx_0 X1False)(∀X1, ((k7_xcmplx_0 k6_numbers X1) = k6_numbersFalse)v1_xcmplx_0 X1False)(∀X1, ((k3_xcmplx_0 X1 k6_numbers) = k6_numbersFalse)v1_xcmplx_0 X1False)(∀X1, ((k4_xcmplx_0 (k4_xcmplx_0 X1)) = X1False)v1_xcmplx_0 X1False)(∀X1, (v1_xreal_0 (k4_xcmplx_0 X1)False)v1_xreal_0 X1False)(∀X1, (v1_xcmplx_0 (k4_xcmplx_0 X1)False)v1_xreal_0 X1False)(∀X1, (v1_xcmplx_0 (k4_xcmplx_0 X1)False)v1_xcmplx_0 X1False)(∀X1, (v1_xcmplx_0 (k4_xcmplx_0 X1)False)v1_int_1 X1False)(∀X1, (v1_int_1 (k4_xcmplx_0 X1)False)v1_int_1 X1False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)(∀X1, v7_ordinal1 X1v3_xxreal_0 X1False)(∀X1, (v7_membered X1False)v1_xboole_0 X1False)(∀X1, (v3_ordinal1 X1False)v7_ordinal1 X1False)(∀X1, (v5_membered X1False)v6_membered X1False)(∀X1, (v4_membered X1False)v5_membered X1False)(∀X1, (v1_xreal_0 X1False)v1_int_1 X1False)(∀X1, (v1_xreal_0 X1False)v7_ordinal1 X1False)(∀X1, (v3_membered X1False)v4_membered X1False)(∀X1, (v1_xxreal_0 X1False)v1_xreal_0 X1False)(∀X1, (v1_xxreal_0 X1False)v7_ordinal1 X1False)(∀X1, (v2_membered X1False)v3_membered X1False)(∀X1, (v1_xcmplx_0 X1False)v1_xreal_0 X1False)(∀X1, (v1_membered X1False)v3_membered X1False)(∀X1, (v6_membered X1False)v1_xboole_0 X1False)(∀X1, (v1_int_1 X1False)v7_ordinal1 X1False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)(r1_xxreal_0 (k7_xcmplx_0 np__1 np__2) np__0False)(r1_xxreal_0 np__2 (k7_xcmplx_0 np__1 np__2)False)(r1_xxreal_0 np__1 (k7_xcmplx_0 np__1 np__2)False)(r1_xxreal_0 np__0 (k4_xcmplx_0 np__1)False)(r1_xxreal_0 np__2 (k4_xcmplx_0 np__1)False)(r1_xxreal_0 np__1 (k4_xcmplx_0 np__1)False)(r1_xxreal_0 np__4 np__3False)(r1_xxreal_0 np__4 np__0False)(r1_xxreal_0 np__4 np__2False)(r1_xxreal_0 np__4 np__1False)(r1_xxreal_0 np__3 np__0False)(r1_xxreal_0 np__3 np__2False)(r1_xxreal_0 np__3 np__1False)(r1_xxreal_0 np__2 np__0False)(r1_xxreal_0 np__2 np__1False)(r1_xxreal_0 np__1 np__0False)(v1_int_1 (k1_catalan1 esk1_0)False)(v1_xboole_0 esk15_0False)(v1_xboole_0 esk12_0False)(v1_xboole_0 esk11_0False)(v1_xboole_0 esk10_0False)(v1_xboole_0 esk5_0False)(v1_xboole_0 np__4False)(v1_xboole_0 np__3False)(v1_xboole_0 np__2False)(v1_xboole_0 np__1False)(((k6_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__3) np__2) (k7_xcmplx_0 (k4_xcmplx_0 np__3) np__2)) = np__0False)False)(((k6_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) (k7_xcmplx_0 (k4_xcmplx_0 np__3) np__2)) = np__1False)False)(((k6_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = np__0False)False)(((k6_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__3) np__2) (k7_xcmplx_0 np__1 np__2)) = (k4_xcmplx_0 np__2)False)False)(((k6_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) (k7_xcmplx_0 np__3 np__2)) = (k4_xcmplx_0 np__2)False)False)(((k6_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) (k7_xcmplx_0 np__1 np__2)) = (k4_xcmplx_0 np__1)False)False)(((k6_xcmplx_0 (k7_xcmplx_0 np__1 np__2) (k7_xcmplx_0 (k4_xcmplx_0 np__3) np__2)) = np__2False)False)(((k6_xcmplx_0 (k7_xcmplx_0 np__1 np__2) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = np__1False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__2) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = (k7_xcmplx_0 (k4_xcmplx_0 np__3) np__2)False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__1) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)False)False)(((k6_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) (k4_xcmplx_0 np__1)) = (k7_xcmplx_0 np__1 np__2)False)False)(((k6_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) np__1) = (k7_xcmplx_0 (k4_xcmplx_0 np__3) np__2)False)False)(((k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__3) np__2) np__1) = (k7_xcmplx_0 (k4_xcmplx_0 np__3) np__2)False)False)(((k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) np__1) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)False)False)((r1_xxreal_0 (k7_xcmplx_0 np__1 np__2) (k7_xcmplx_0 np__1 np__2)False)False)(((k6_xcmplx_0 (k7_xcmplx_0 np__3 np__2) (k7_xcmplx_0 np__3 np__2)) = np__0False)False)(((k6_xcmplx_0 (k7_xcmplx_0 np__3 np__2) (k7_xcmplx_0 np__1 np__2)) = np__1False)False)(((k6_xcmplx_0 (k7_xcmplx_0 np__1 np__2) (k7_xcmplx_0 np__1 np__2)) = np__0False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__1) (k7_xcmplx_0 np__1 np__2)) = (k7_xcmplx_0 (k4_xcmplx_0 np__3) np__2)False)False)(((k6_xcmplx_0 np__1 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = (k7_xcmplx_0 np__3 np__2)False)False)((m2_subset_1 np__4 k1_numbers k5_numbersFalse)False)((m2_subset_1 np__3 k1_numbers k5_numbersFalse)False)((m2_subset_1 np__0 k1_numbers k5_numbersFalse)False)((m2_subset_1 k6_numbers k1_numbers k5_numbersFalse)False)((m2_subset_1 np__2 k1_numbers k5_numbersFalse)False)((m2_subset_1 np__1 k1_numbers k5_numbersFalse)False)(((k6_xcmplx_0 (k7_xcmplx_0 np__1 np__2) (k4_xcmplx_0 np__1)) = (k7_xcmplx_0 np__3 np__2)False)False)(((k6_xcmplx_0 (k7_xcmplx_0 np__1 np__2) np__2) = (k7_xcmplx_0 (k4_xcmplx_0 np__3) np__2)False)False)(((k6_xcmplx_0 (k7_xcmplx_0 np__1 np__2) np__1) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)False)False)(((k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__3) np__2) (k4_xcmplx_0 np__2)) = np__3False)False)(((k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) (k4_xcmplx_0 np__2)) = np__1False)False)(((k3_xcmplx_0 (k4_xcmplx_0 np__4) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = np__2False)False)(((k3_xcmplx_0 (k4_xcmplx_0 np__2) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = np__1False)False)(((k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) np__2) = (k4_xcmplx_0 np__1)False)False)(((k7_xcmplx_0 np__1 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = (k4_xcmplx_0 np__2)False)False)(((k3_xcmplx_0 np__4 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = (k4_xcmplx_0 np__2)False)False)(((k3_xcmplx_0 np__2 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = (k4_xcmplx_0 np__1)False)False)(((k4_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = (k7_xcmplx_0 np__1 np__2)False)False)(((k3_xcmplx_0 (k7_xcmplx_0 np__3 np__4) np__1) = (k7_xcmplx_0 np__3 np__4)False)False)(((k3_xcmplx_0 (k7_xcmplx_0 np__3 np__2) np__1) = (k7_xcmplx_0 np__3 np__2)False)False)(((k3_xcmplx_0 (k7_xcmplx_0 np__2 np__3) np__1) = (k7_xcmplx_0 np__2 np__3)False)False)(((k3_xcmplx_0 (k7_xcmplx_0 np__1 np__4) np__2) = (k7_xcmplx_0 np__1 np__2)False)False)(((k3_xcmplx_0 (k7_xcmplx_0 np__1 np__4) np__1) = (k7_xcmplx_0 np__1 np__4)False)False)(((k3_xcmplx_0 (k7_xcmplx_0 np__1 np__3) np__2) = (k7_xcmplx_0 np__2 np__3)False)False)(((k3_xcmplx_0 (k7_xcmplx_0 np__1 np__3) np__1) = (k7_xcmplx_0 np__1 np__3)False)False)(((k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) np__1) = (k7_xcmplx_0 np__1 np__2)False)False)(((k6_xcmplx_0 np__1 (k7_xcmplx_0 np__1 np__2)) = (k7_xcmplx_0 np__1 np__2)False)False)(((k3_xcmplx_0 np__3 (k7_xcmplx_0 np__1 np__4)) = (k7_xcmplx_0 np__3 np__4)False)False)(((k3_xcmplx_0 np__2 (k7_xcmplx_0 np__1 np__4)) = (k7_xcmplx_0 np__1 np__2)False)False)(((k3_xcmplx_0 np__2 (k7_xcmplx_0 np__1 np__3)) = (k7_xcmplx_0 np__2 np__3)False)False)(((k3_xcmplx_0 np__1 (k7_xcmplx_0 np__1 np__2)) = (k7_xcmplx_0 np__1 np__2)False)False)(((k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) (k4_xcmplx_0 np__2)) = (k4_xcmplx_0 np__1)False)False)(((k3_xcmplx_0 (k4_xcmplx_0 np__4) (k7_xcmplx_0 np__1 np__2)) = (k4_xcmplx_0 np__2)False)False)(((k3_xcmplx_0 (k4_xcmplx_0 np__2) (k7_xcmplx_0 np__1 np__2)) = (k4_xcmplx_0 np__1)False)False)(((k4_xcmplx_0 (k7_xcmplx_0 np__3 np__2)) = (k7_xcmplx_0 (k4_xcmplx_0 np__3) np__2)False)False)(((k4_xcmplx_0 (k7_xcmplx_0 np__1 np__2)) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)False)False)((r1_xxreal_0 (k7_xcmplx_0 np__1 np__2) np__2False)False)((r1_xxreal_0 (k7_xcmplx_0 np__1 np__2) np__1False)False)((r1_xxreal_0 np__0 (k7_xcmplx_0 np__1 np__2)False)False)(((k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) np__4) = np__2False)False)(((k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) np__2) = np__1False)False)(((k7_xcmplx_0 np__1 (k7_xcmplx_0 np__1 np__2)) = np__2False)False)(((k3_xcmplx_0 np__4 (k7_xcmplx_0 np__1 np__4)) = np__1False)False)(((k3_xcmplx_0 np__4 (k7_xcmplx_0 np__1 np__2)) = np__2False)False)(((k3_xcmplx_0 np__3 (k7_xcmplx_0 np__1 np__3)) = np__1False)False)(((k3_xcmplx_0 np__2 (k7_xcmplx_0 np__1 np__2)) = np__1False)False)(((k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) = (k7_xcmplx_0 np__1 (k4_xcmplx_0 np__2))False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__4) (k4_xcmplx_0 np__3)) = (k4_xcmplx_0 np__1)False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__4) (k4_xcmplx_0 np__2)) = (k4_xcmplx_0 np__2)False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__4) (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 np__3)False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__3) (k4_xcmplx_0 np__2)) = (k4_xcmplx_0 np__1)False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__3) (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 np__2)False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__2) (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 np__1)False)False)((r1_xxreal_0 (k4_xcmplx_0 np__1) (k4_xcmplx_0 np__1)False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__4) (k4_xcmplx_0 np__4)) = np__0False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__3) (k4_xcmplx_0 np__4)) = np__1False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__3) (k4_xcmplx_0 np__3)) = np__0False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__2) (k4_xcmplx_0 np__4)) = np__2False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__2) (k4_xcmplx_0 np__3)) = np__1False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__2) (k4_xcmplx_0 np__2)) = np__0False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__1) (k4_xcmplx_0 np__4)) = np__3False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__1) (k4_xcmplx_0 np__3)) = np__2False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__1) (k4_xcmplx_0 np__2)) = np__1False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__1) (k4_xcmplx_0 np__1)) = np__0False)False)(((k3_xcmplx_0 (k4_xcmplx_0 np__2) (k4_xcmplx_0 np__2)) = np__4False)False)(∀X1, (m1_subset_1 (esk2_1 X1) X1False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__3) np__1) = (k4_xcmplx_0 np__4)False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__2) np__0) = (k4_xcmplx_0 np__2)False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__2) np__2) = (k4_xcmplx_0 np__4)False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__2) np__1) = (k4_xcmplx_0 np__3)False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__1) np__3) = (k4_xcmplx_0 np__4)False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__1) np__0) = (k4_xcmplx_0 np__1)False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__1) np__2) = (k4_xcmplx_0 np__3)False)False)(((k6_xcmplx_0 (k4_xcmplx_0 np__1) np__1) = (k4_xcmplx_0 np__2)False)False)(((k3_xcmplx_0 (k4_xcmplx_0 np__4) np__1) = (k4_xcmplx_0 np__4)False)False)(((k3_xcmplx_0 (k4_xcmplx_0 np__2) np__1) = (k4_xcmplx_0 np__2)False)False)(((k7_xcmplx_0 np__1 (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 np__1)False)False)(((k3_xcmplx_0 np__2 (k4_xcmplx_0 np__2)) = (k4_xcmplx_0 np__4)False)False)(((k3_xcmplx_0 np__1 (k4_xcmplx_0 np__2)) = (k4_xcmplx_0 np__2)False)False)((r1_xxreal_0 (k4_xcmplx_0 np__1) np__0False)False)((r1_xxreal_0 (k4_xcmplx_0 np__1) np__2False)False)((r1_xxreal_0 (k4_xcmplx_0 np__1) np__1False)False)((m1_subset_1 esk11_0 (k1_zfmisc_1 k1_numbers)False)False)((m1_subset_1 k5_numbers (k1_zfmisc_1 k1_numbers)False)False)(((k6_xcmplx_0 np__0 (k4_xcmplx_0 np__2)) = np__2False)False)(((k6_xcmplx_0 np__0 (k4_xcmplx_0 np__1)) = np__1False)False)(((k6_xcmplx_0 np__2 (k4_xcmplx_0 np__2)) = np__4False)False)(((k6_xcmplx_0 np__2 (k4_xcmplx_0 np__1)) = np__3False)False)(((k6_xcmplx_0 np__1 (k4_xcmplx_0 np__2)) = np__3False)False)(((k6_xcmplx_0 np__1 (k4_xcmplx_0 np__1)) = np__2False)False)(∀X1, (r1_tarski X1 X1False)False)(((k6_xcmplx_0 np__3 np__4) = (k4_xcmplx_0 np__1)False)False)(((k6_xcmplx_0 np__0 np__4) = (k4_xcmplx_0 np__4)False)False)(((k6_xcmplx_0 np__0 np__3) = (k4_xcmplx_0 np__3)False)False)(((k6_xcmplx_0 np__0 np__2) = (k4_xcmplx_0 np__2)False)False)(((k6_xcmplx_0 np__0 np__1) = (k4_xcmplx_0 np__1)False)False)(((k6_xcmplx_0 np__2 np__4) = (k4_xcmplx_0 np__2)False)False)(((k6_xcmplx_0 np__2 np__3) = (k4_xcmplx_0 np__1)False)False)(((k6_xcmplx_0 np__1 np__4) = (k4_xcmplx_0 np__3)False)False)(((k6_xcmplx_0 np__1 np__3) = (k4_xcmplx_0 np__2)False)False)(((k6_xcmplx_0 np__1 np__2) = (k4_xcmplx_0 np__1)False)False)((r1_xxreal_0 np__4 np__4False)False)((r1_xxreal_0 np__3 np__4False)False)((r1_xxreal_0 np__3 np__3False)False)((r1_xxreal_0 np__0 np__4False)False)((r1_xxreal_0 np__0 np__3False)False)((r1_xxreal_0 np__0 np__0False)False)((r1_xxreal_0 np__0 np__2False)False)((r1_xxreal_0 np__0 np__1False)False)((r1_xxreal_0 np__2 np__4False)False)((r1_xxreal_0 np__2 np__3False)False)((r1_xxreal_0 np__2 np__2False)False)((r1_xxreal_0 np__1 np__4False)False)((r1_xxreal_0 np__1 np__3False)False)((r1_xxreal_0 np__1 np__2False)False)((r1_xxreal_0 np__1 np__1False)False)((m1_subset_1 esk4_0 k1_numbersFalse)False)((m1_subset_1 np__4 k1_numbersFalse)False)((m1_subset_1 np__4 k5_numbersFalse)False)((m1_subset_1 np__3 k1_numbersFalse)False)((m1_subset_1 np__3 k5_numbersFalse)False)((m1_subset_1 np__0 k1_numbersFalse)False)((m1_subset_1 np__0 k5_numbersFalse)False)((m1_subset_1 k1_xboole_0 k4_ordinal1False)False)((m1_subset_1 np__2 k1_numbersFalse)False)((m1_subset_1 np__2 k5_numbersFalse)False)((m1_subset_1 np__1 k1_numbersFalse)False)((m1_subset_1 np__1 k5_numbersFalse)False)(((k7_xcmplx_0 np__4 np__2) = np__2False)False)(((k7_xcmplx_0 np__2 np__2) = np__1False)False)(((k7_xcmplx_0 np__1 np__1) = np__1False)False)(((k6_xcmplx_0 np__4 np__4) = np__0False)False)(((k6_xcmplx_0 np__4 np__3) = np__1False)False)(((k6_xcmplx_0 np__4 np__0) = np__4False)False)(((k6_xcmplx_0 np__4 np__2) = np__2False)False)(((k6_xcmplx_0 np__4 np__1) = np__3False)False)(((k6_xcmplx_0 np__3 np__3) = np__0False)False)(((k6_xcmplx_0 np__3 np__0) = np__3False)False)(((k6_xcmplx_0 np__3 np__2) = np__1False)False)(((k6_xcmplx_0 np__3 np__1) = np__2False)False)(((k6_xcmplx_0 np__2 np__0) = np__2False)False)(((k6_xcmplx_0 np__2 np__2) = np__0False)False)(((k6_xcmplx_0 np__2 np__1) = np__1False)False)(((k6_xcmplx_0 np__1 np__0) = np__1False)False)(((k6_xcmplx_0 np__1 np__1) = np__0False)False)(((k3_xcmplx_0 np__4 np__1) = np__4False)False)(((k3_xcmplx_0 np__3 np__1) = np__3False)False)(((k3_xcmplx_0 np__0 np__0) = np__0False)False)(((k3_xcmplx_0 np__0 np__2) = np__0False)False)(((k3_xcmplx_0 np__0 np__1) = np__0False)False)(((k3_xcmplx_0 np__2 np__0) = np__0False)False)(((k3_xcmplx_0 np__2 np__2) = np__4False)False)(((k3_xcmplx_0 np__2 np__1) = np__2False)False)(((k3_xcmplx_0 np__1 np__4) = np__4False)False)(((k3_xcmplx_0 np__1 np__3) = np__3False)False)(((k3_xcmplx_0 np__1 np__0) = np__0False)False)(((k3_xcmplx_0 np__1 np__2) = np__2False)False)(((k3_xcmplx_0 np__1 np__1) = np__1False)False)(((k4_xcmplx_0 (k4_xcmplx_0 np__4)) = np__4False)False)(((k4_xcmplx_0 (k4_xcmplx_0 np__3)) = np__3False)False)(((k4_xcmplx_0 (k4_xcmplx_0 np__2)) = np__2False)False)(((k4_xcmplx_0 (k4_xcmplx_0 np__1)) = np__1False)False)((v2_xxreal_0 esk14_0False)False)((v2_xxreal_0 esk13_0False)False)((v2_xxreal_0 np__4False)False)((v2_xxreal_0 np__3False)False)((v2_xxreal_0 np__2False)False)((v2_xxreal_0 np__1False)False)((v3_xxreal_0 esk17_0False)False)((v3_xxreal_0 esk16_0False)False)((v7_membered esk15_0False)False)((v7_membered k4_ordinal1False)False)((v7_membered k1_numbersFalse)False)((v3_ordinal1 esk11_0False)False)((v1_xboole_0 esk19_0False)False)((v1_xboole_0 esk18_0False)False)((v1_xboole_0 esk6_0False)False)((v1_xboole_0 np__0False)False)((v1_xboole_0 k1_xboole_0False)False)((v1_xreal_0 esk18_0False)False)((v1_xreal_0 esk16_0False)False)((v1_xreal_0 esk13_0False)False)((v1_xreal_0 esk7_0False)False)((v1_xreal_0 esk4_0False)False)((v3_membered k1_numbersFalse)False)((v1_xxreal_0 esk19_0False)False)((v1_xxreal_0 esk18_0False)False)((v1_xxreal_0 esk17_0False)False)((v1_xxreal_0 esk16_0False)False)((v1_xxreal_0 esk14_0False)False)((v1_xxreal_0 esk13_0False)False)((v1_xxreal_0 esk8_0False)False)((v1_xxreal_0 esk4_0False)False)((v1_xcmplx_0 esk18_0False)False)((v1_xcmplx_0 esk16_0False)False)((v1_xcmplx_0 esk13_0False)False)((v1_xcmplx_0 esk4_0False)False)((v6_membered esk15_0False)False)((v6_membered esk10_0False)False)((v6_membered esk5_0False)False)((v6_membered k4_ordinal1False)False)((v1_int_1 esk9_0False)False)((v1_int_1 esk4_0False)False)((v7_ordinal1 esk1_0False)False)(((k4_xcmplx_0 np__0) = np__0False)False)((k5_numbers = k4_ordinal1False)False)((k1_xboole_0 = k6_numbersFalse)False)False
Proof:
The rest of the proof is missing.