Theorem. (
t34_partit1)
∀esk12_5 : set → set → set → set → set → set, ∀esk15_3 : set → set → set → set, ∀k4_relat_1 : set → set, ∀v1_relat_1 : set → prop, ∀esk2_2 : set → set → set, ∀esk3_2 : set → set → set, ∀k1_xboole_0 : set, ∀esk7_2 : set → set → set, ∀k5_setfam_1 : set → set → set, ∀esk8_2 : set → set → set, ∀r1_xboole_0 : set → set → prop, ∀k8_eqrel_1 : set → set → set, ∀k3_tarski : set → set, ∀esk10_2 : set → set → set, ∀v5_relat_1 : set → set → prop, ∀esk11_2 : set → set → set, ∀k6_domain_1 : set → set → set, ∀esk18_2 : set → set → set, ∀a_1_0_eqrel_1 : set → set, ∀v1_int_1 : set → prop, ∀v5_membered : set → prop, ∀v1_xreal_0 : set → prop, ∀v3_membered : set → prop, ∀v1_xcmplx_0 : set → prop, ∀v1_membered : set → prop, ∀esk32_1 : set → set, ∀v1_relat_2 : set → prop, ∀esk31_1 : set → set, ∀v7_membered : set → prop, ∀esk1_0 : set, ∀esk30_1 : set → set, ∀esk28_0 : set, ∀esk20_0 : set, ∀esk21_2 : set → set → set, ∀esk27_1 : set → set, ∀esk17_1 : set → set, ∀v4_relat_2 : set → prop, ∀esk23_0 : set, ∀esk16_1 : set → set, ∀esk26_1 : set → set, ∀esk25_0 : set, ∀esk29_0 : set, ∀esk24_1 : set → set, ∀esk22_1 : set → set, ∀v2_membered : set → prop, ∀v1_xxreal_0 : set → prop, ∀v4_membered : set → prop, ∀v1_rat_1 : set → prop, ∀v6_membered : set → prop, ∀v7_ordinal1 : set → prop, ∀v1_subset_1 : set → set → prop, ∀a_1_2_partit1 : set → set, ∀esk19_2 : set → set → set, ∀esk4_2 : set → set → set, ∀esk33_2 : set → set → set, ∀v4_relat_1 : set → set → prop, ∀esk9_3 : set → set → set → set, ∀v1_setfam_1 : set → prop, ∀k7_eqrel_1 : set → set → set, ∀esk6_2 : set → set → set, ∀esk5_2 : set → set → set, ∀r1_tarski : set → set → prop, ∀v1_xboole_0 : set → prop, ∀v8_relat_2 : set → prop, ∀m1_eqrel_1 : set → set → prop, ∀k1_zfmisc_1 : set → set, ∀m1_subset_1 : set → set → prop, ∀esk14_3 : set → set → set → set, ∀k1_tarski : set → set, ∀k2_tarski : set → set → set, ∀k2_zfmisc_1 : set → set → set, ∀esk13_3 : set → set → set → set, ∀v1_partfun1 : set → set → prop, ∀r2_hidden : set → set → prop, ∀v3_relat_2 : set → prop, ∀k4_partit1 : set → set → set, (∀X4 X1 X2 X3, (X3 = (k4_partit1 X1 X2) → False) → (v1_xboole_0 X1 → False) → v3_relat_2 X3 → v8_relat_2 X3 → r2_hidden X4 X2 → m1_eqrel_1 X2 X1 → v1_partfun1 X3 X1 → m1_subset_1 X4 (k1_zfmisc_1 X1) → r2_hidden (esk13_3 X1 X2 X3) X4 → r2_hidden (esk14_3 X1 X2 X3) X4 → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1)) → r2_hidden (k2_tarski (k2_tarski (esk13_3 X1 X2 X3) (esk14_3 X1 X2 X3)) (k1_tarski (esk13_3 X1 X2 X3))) X3 → False) → (∀X3 X2 X4 X5 X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk12_5 X1 X2 X3 X4 X5) (k1_zfmisc_1 X1) → False) → X3 = (k4_partit1 X1 X2) → v3_relat_2 X3 → v8_relat_2 X3 → m1_eqrel_1 X2 X1 → v1_partfun1 X3 X1 → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1)) → r2_hidden (k2_tarski (k2_tarski X4 X5) (k1_tarski X4)) X3 → False) → (∀X3 X2 X4 X5 X1, (v1_xboole_0 X1 → False) → (r2_hidden (esk12_5 X1 X2 X3 X4 X5) X2 → False) → X3 = (k4_partit1 X1 X2) → v3_relat_2 X3 → v8_relat_2 X3 → m1_eqrel_1 X2 X1 → v1_partfun1 X3 X1 → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1)) → r2_hidden (k2_tarski (k2_tarski X4 X5) (k1_tarski X4)) X3 → False) → (∀X4 X3 X1 X5 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 (esk12_5 X2 X3 X4 X1 X5) → False) → X4 = (k4_partit1 X2 X3) → v3_relat_2 X4 → v8_relat_2 X4 → m1_eqrel_1 X3 X2 → v1_partfun1 X4 X2 → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X2)) → r2_hidden (k2_tarski (k2_tarski X1 X5) (k1_tarski X1)) X4 → False) → (∀X4 X3 X5 X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 (esk12_5 X2 X3 X4 X5 X1) → False) → X4 = (k4_partit1 X2 X3) → v3_relat_2 X4 → v8_relat_2 X4 → m1_eqrel_1 X3 X2 → v1_partfun1 X4 X2 → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X2)) → r2_hidden (k2_tarski (k2_tarski X5 X1) (k1_tarski X5)) X4 → False) → (∀X3 X2 X1, (X3 = (k4_partit1 X1 X2) → False) → (v1_xboole_0 X1 → False) → (r2_hidden (esk14_3 X1 X2 X3) (esk15_3 X1 X2 X3) → False) → (r2_hidden (k2_tarski (k2_tarski (esk13_3 X1 X2 X3) (esk14_3 X1 X2 X3)) (k1_tarski (esk13_3 X1 X2 X3))) X3 → False) → v3_relat_2 X3 → v8_relat_2 X3 → m1_eqrel_1 X2 X1 → v1_partfun1 X3 X1 → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1)) → False) → (∀X3 X2 X1, (X3 = (k4_partit1 X1 X2) → False) → (v1_xboole_0 X1 → False) → (r2_hidden (esk13_3 X1 X2 X3) (esk15_3 X1 X2 X3) → False) → (r2_hidden (k2_tarski (k2_tarski (esk13_3 X1 X2 X3) (esk14_3 X1 X2 X3)) (k1_tarski (esk13_3 X1 X2 X3))) X3 → False) → v3_relat_2 X3 → v8_relat_2 X3 → m1_eqrel_1 X2 X1 → v1_partfun1 X3 X1 → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1)) → False) → (∀X3 X2 X1, (X3 = (k4_partit1 X1 X2) → False) → (v1_xboole_0 X1 → False) → (m1_subset_1 (esk15_3 X1 X2 X3) (k1_zfmisc_1 X1) → False) → (r2_hidden (k2_tarski (k2_tarski (esk13_3 X1 X2 X3) (esk14_3 X1 X2 X3)) (k1_tarski (esk13_3 X1 X2 X3))) X3 → False) → v3_relat_2 X3 → v8_relat_2 X3 → m1_eqrel_1 X2 X1 → v1_partfun1 X3 X1 → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1)) → False) → (∀X3 X2 X1, (X3 = (k4_partit1 X1 X2) → False) → (v1_xboole_0 X1 → False) → (r2_hidden (esk15_3 X1 X2 X3) X2 → False) → (r2_hidden (k2_tarski (k2_tarski (esk13_3 X1 X2 X3) (esk14_3 X1 X2 X3)) (k1_tarski (esk13_3 X1 X2 X3))) X3 → False) → v3_relat_2 X3 → v8_relat_2 X3 → m1_eqrel_1 X2 X1 → v1_partfun1 X3 X1 → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1)) → False) → (∀X1 X2, (X2 = (k4_relat_1 X1) → False) → (esk2_2 X1 X2) = (esk3_2 X1 X2) → v1_relat_1 X2 → r2_hidden (esk2_2 X1 X2) X1 → r2_hidden (k2_tarski (k2_tarski (esk2_2 X1 X2) (esk3_2 X1 X2)) (k1_tarski (esk2_2 X1 X2))) X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → v1_relat_1 X1 → r2_hidden (k2_tarski (k2_tarski (esk5_2 X1 X2) (esk6_2 X1 X2)) (k1_tarski (esk5_2 X1 X2))) X2 → False) → (∀X1 X2, (X2 = (k4_relat_1 X1) → False) → (r2_hidden (esk2_2 X1 X2) X1 → False) → (r2_hidden (k2_tarski (k2_tarski (esk2_2 X1 X2) (esk3_2 X1 X2)) (k1_tarski (esk2_2 X1 X2))) X2 → False) → v1_relat_1 X2 → False) → (∀X1 X2, (X2 = (k4_relat_1 X1) → False) → ((esk2_2 X1 X2) = (esk3_2 X1 X2) → False) → (r2_hidden (k2_tarski (k2_tarski (esk2_2 X1 X2) (esk3_2 X1 X2)) (k1_tarski (esk2_2 X1 X2))) X2 → False) → v1_relat_1 X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → (r2_hidden (k2_tarski (k2_tarski (esk5_2 X1 X2) (esk6_2 X1 X2)) (k1_tarski (esk5_2 X1 X2))) X1 → False) → v1_relat_1 X1 → False) → (∀X6 X5 X4 X1 X3 X2, (v1_xboole_0 X2 → False) → (r2_hidden (k2_tarski (k2_tarski X4 X5) (k1_tarski X4)) X6 → False) → X6 = (k4_partit1 X2 X3) → v3_relat_2 X6 → v8_relat_2 X6 → r2_hidden X5 X1 → r2_hidden X4 X1 → r2_hidden X1 X3 → m1_eqrel_1 X3 X2 → v1_partfun1 X6 X2 → m1_subset_1 X1 (k1_zfmisc_1 X2) → m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X2 X2)) → False) → (∀X1 X3 X4 X2, (r2_hidden (k2_tarski (k2_tarski X3 X4) (k1_tarski X3)) X2 → False) → v1_relat_1 X1 → r1_tarski X1 X2 → r2_hidden (k2_tarski (k2_tarski X3 X4) (k1_tarski X3)) X1 → False) → (∀X2 X1, (m1_subset_1 (k7_eqrel_1 X2 X1) (k1_zfmisc_1 (k1_zfmisc_1 X2)) → False) → v3_relat_2 X1 → v8_relat_2 X1 → v1_partfun1 X1 X2 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X2)) → False) → (∀X1 X2, ((esk7_2 X1 X2) = k1_xboole_0 → False) → (m1_eqrel_1 X2 X1 → False) → (k5_setfam_1 X1 X2) = X1 → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → r1_xboole_0 (esk7_2 X1 X2) (esk8_2 X1 X2) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → v3_relat_2 X2 → v8_relat_2 X2 → v1_partfun1 X2 X1 → v1_xboole_0 (k7_eqrel_1 X1 X2) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1)) → False) → (∀X2 X3 X1 X4, (X1 = X4 → False) → (r1_xboole_0 X4 X1 → False) → r2_hidden X4 X3 → r2_hidden X1 X3 → m1_eqrel_1 X3 X2 → m1_subset_1 X4 (k1_zfmisc_1 X2) → m1_subset_1 X1 (k1_zfmisc_1 X2) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → False) → (∀X4 X3 X1 X2, (r2_hidden X1 X2 → False) → X4 = (k4_relat_1 X2) → v1_relat_1 X4 → r2_hidden (k2_tarski (k2_tarski X1 X3) (k1_tarski X1)) X4 → False) → (∀X2 X1, (m1_eqrel_1 (k8_eqrel_1 X2 X1) X2 → False) → v3_relat_2 X1 → v8_relat_2 X1 → v1_partfun1 X1 X2 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X2)) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v1_setfam_1 (k7_eqrel_1 X1 X2) → False) → v3_relat_2 X2 → v8_relat_2 X2 → v1_partfun1 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1)) → False) → (∀X4 X3 X1 X2, (X1 = X2 → False) → X3 = (k4_relat_1 X4) → v1_relat_1 X3 → r2_hidden (k2_tarski (k2_tarski X1 X2) (k1_tarski X1)) X3 → False) → (∀X2 X1, ((k7_eqrel_1 X2 X1) = (k8_eqrel_1 X2 X1) → False) → v3_relat_2 X1 → v8_relat_2 X1 → v1_partfun1 X1 X2 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X2)) → False) → (∀X3 X2 X1, (X2 = (k3_tarski X1) → False) → r2_hidden X3 X1 → r2_hidden (esk10_2 X1 X2) X3 → r2_hidden (esk10_2 X1 X2) X2 → False) → (∀X1 X2 X3, (r2_hidden (esk9_3 X1 X2 X3) X1 → False) → X2 = (k3_tarski X1) → r2_hidden X3 X2 → False) → (∀X2 X3 X1, (r2_hidden X1 (esk9_3 X2 X3 X1) → False) → X3 = (k3_tarski X2) → r2_hidden X1 X3 → False) → (∀X1 X2, ((esk7_2 X1 X2) = k1_xboole_0 → False) → (m1_eqrel_1 X2 X1 → False) → (m1_subset_1 (esk8_2 X1 X2) (k1_zfmisc_1 X1) → False) → (k5_setfam_1 X1 X2) = X1 → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X1 X2, ((esk7_2 X1 X2) = k1_xboole_0 → False) → (m1_eqrel_1 X2 X1 → False) → (k5_setfam_1 X1 X2) = X1 → (esk8_2 X1 X2) = (esk7_2 X1 X2) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X2 X3 X1, (v1_xboole_0 X1 → False) → v1_xboole_0 X2 → v1_partfun1 X3 X1 → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → (∀X2 X1 X3 X4, (r2_hidden (k2_tarski (k2_tarski X1 X3) (k1_tarski X1)) X4 → False) → X1 = X3 → X4 = (k4_relat_1 X2) → v1_relat_1 X4 → r2_hidden X1 X2 → False) → (∀X1 X2, ((esk7_2 X1 X2) = k1_xboole_0 → False) → (m1_eqrel_1 X2 X1 → False) → (r2_hidden (esk8_2 X1 X2) X2 → False) → (k5_setfam_1 X1 X2) = X1 → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X1 X2, (m1_eqrel_1 X2 X1 → False) → (m1_subset_1 (esk7_2 X1 X2) (k1_zfmisc_1 X1) → False) → (k5_setfam_1 X1 X2) = X1 → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X3 X2 X1, (v1_partfun1 X2 X1 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → False) → (∀X2 X3 X1, X1 = k1_xboole_0 → r2_hidden X1 X2 → m1_eqrel_1 X2 X3 → m1_subset_1 X1 (k1_zfmisc_1 X3) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X3)) → False) → (∀X1 X2, (m1_eqrel_1 X2 X1 → False) → (r2_hidden (esk7_2 X1 X2) X2 → False) → (k5_setfam_1 X1 X2) = X1 → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X3 X1 X2, (v5_relat_1 X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X2)) → False) → (∀X3 X1 X2, (v4_relat_1 X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (k4_partit1 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X1)) → False) → m1_eqrel_1 X2 X1 → False) → (∀X1 X3 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → False) → (∀X1 X3 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X3 X2 X1, (v1_relat_1 X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X1 X2, (X2 = (k3_tarski X1) → False) → (r2_hidden (esk10_2 X1 X2) X2 → False) → (r2_hidden (esk10_2 X1 X2) (esk11_2 X1 X2) → False) → False) → (∀X1 X3 X2, r2_hidden X3 X2 → r2_hidden X1 X2 → r2_hidden X1 (esk33_2 X3 X2) → False) → (∀X2 X1, (m1_subset_1 (k5_setfam_1 X2 X1) (k1_zfmisc_1 X2) → False) → m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → False) → (∀X2 X1, (X2 = (k1_tarski X1) → False) → (esk4_2 X1 X2) = X1 → r2_hidden (esk4_2 X1 X2) X2 → False) → (∀X1 X2, ((k5_setfam_1 X1 X2) = X1 → False) → m1_eqrel_1 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X1 X2, (X2 = (k3_tarski X1) → False) → (r2_hidden (esk10_2 X1 X2) X2 → False) → (r2_hidden (esk11_2 X1 X2) X1 → False) → False) → (∀X1 X2, ((k6_domain_1 X2 (esk18_2 X1 X2)) = X1 → False) → (v1_xboole_0 X2 → False) → r2_hidden X1 (a_1_0_eqrel_1 X2) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (m1_subset_1 (esk19_2 X1 X2) X2 → False) → r2_hidden X1 (a_1_2_partit1 X2) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (m1_subset_1 (esk18_2 X1 X2) X2 → False) → r2_hidden X1 (a_1_0_eqrel_1 X2) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (k6_domain_1 X1 X2) (k1_zfmisc_1 X1) → False) → m1_subset_1 X2 X1 → False) → (∀X3 X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X3 (a_1_0_eqrel_1 X2) → False) → X3 = (k6_domain_1 X2 X1) → m1_subset_1 X1 X2 → False) → (∀X2 X1, ((k5_setfam_1 X2 X1) = (k3_tarski X1) → False) → m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → False) → (∀X2 X1 X3, (m1_subset_1 X1 X3 → False) → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X3 X2 X1 X4, (r2_hidden X1 X4 → False) → X4 = (k3_tarski X3) → r2_hidden X2 X3 → r2_hidden X1 X2 → False) → (∀X1 X2, ((k1_tarski (esk19_2 X1 X2)) = X1 → False) → (v1_xboole_0 X2 → False) → r2_hidden X1 (a_1_2_partit1 X2) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v1_partfun1 (k4_partit1 X1 X2) X1 → False) → m1_eqrel_1 X2 X1 → False) → (∀X2 X1, (r2_hidden (esk33_2 X1 X2) X2 → False) → r2_hidden X1 X2 → False) → (∀X2 X1, v1_xboole_0 X1 → v1_subset_1 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X2 X1, (X2 = (k1_tarski X1) → False) → ((esk4_2 X1 X2) = X1 → False) → (r2_hidden (esk4_2 X1 X2) X2 → False) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v1_subset_1 X2 X1 → False) → v1_xboole_0 X2 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v1_subset_1 X2 X1 → False) → v1_xboole_0 X2 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v8_relat_2 (k4_partit1 X1 X2) → False) → m1_eqrel_1 X2 X1 → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v3_relat_2 (k4_partit1 X1 X2) → False) → m1_eqrel_1 X2 X1 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → v1_xboole_0 (k2_zfmisc_1 X1 X2) → False) → (∀X3 X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X3 (a_1_2_partit1 X2) → False) → X3 = (k1_tarski X1) → m1_subset_1 X1 X2 → False) → (∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → False) → m1_eqrel_1 X1 X2 → False) → (∀X2 X1, (X1 = X2 → False) → r1_tarski X2 X1 → r1_tarski X1 X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1, ((k6_domain_1 X1 X2) = (k1_tarski X2) → False) → (v1_xboole_0 X1 → False) → m1_subset_1 X2 X1 → False) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden X1 X2 → False) → (∀X2 X1, (v6_membered (k2_tarski X1 X2) → False) → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X2 X1, (v5_membered (k2_tarski X1 X2) → False) → v1_int_1 X2 → v1_int_1 X1 → False) → (∀X2 X1, (v4_membered (k2_tarski X1 X2) → False) → v1_rat_1 X2 → v1_rat_1 X1 → False) → (∀X2 X1, (v3_membered (k2_tarski X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (v2_membered (k2_tarski X1 X2) → False) → v1_xxreal_0 X2 → v1_xxreal_0 X1 → False) → (∀X2 X1, (v1_membered (k2_tarski X1 X2) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2, (v6_membered X2 → False) → v6_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v5_membered X2 → False) → v5_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v4_membered X2 → False) → v4_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v3_membered X2 → False) → v3_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v2_membered X2 → False) → v2_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_membered X2 → False) → v1_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → r1_tarski X1 X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X2 X1, (r1_xboole_0 X2 X1 → False) → r1_xboole_0 X1 X2 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1 X2, (v7_ordinal1 X2 → False) → v6_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_int_1 X2 → False) → v5_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_rat_1 X2 → False) → v4_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_xreal_0 X2 → False) → v3_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_xxreal_0 X2 → False) → v2_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_xcmplx_0 X2 → False) → v1_membered X1 → m1_subset_1 X2 X1 → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → v1_xboole_0 X2 → m1_eqrel_1 X2 X1 → False) → (∀X2 X1 X3, (X1 = X3 → False) → X2 = (k1_tarski X3) → r2_hidden X1 X2 → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk32_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk22_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X1, ((k8_eqrel_1 X1 (k4_relat_1 X1)) = (a_1_0_eqrel_1 X1) → False) → (v1_xboole_0 X1 → False) → False) → (∀X2 X1, (v1_setfam_1 X1 → False) → m1_eqrel_1 X1 X2 → False) → (∀X2 X1 X3, (r2_hidden X1 X3 → False) → X1 = X2 → X3 = (k1_tarski X2) → False) → (∀X1, (v1_relat_2 X1 → False) → v1_relat_1 X1 → v3_relat_2 X1 → v8_relat_2 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_subset_1 (esk32_1 X1) X1 → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_eqrel_1 (esk31_1 X1) X1 → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_eqrel_1 (esk24_1 X1) X1 → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk31_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk24_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk22_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (k4_relat_1 X1) → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → X1 = X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → X1 = X2 → False) → (∀X1, (v6_membered (k1_tarski X1) → False) → v7_ordinal1 X1 → False) → (∀X1, (v5_membered (k1_tarski X1) → False) → v1_int_1 X1 → False) → (∀X1, (v4_membered (k1_tarski X1) → False) → v1_rat_1 X1 → False) → (∀X1, (v3_membered (k1_tarski X1) → False) → v1_xreal_0 X1 → False) → (∀X1, (v2_membered (k1_tarski X1) → False) → v1_xxreal_0 X1 → False) → (∀X1, (v1_membered (k1_tarski X1) → False) → v1_xcmplx_0 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_setfam_1 (esk31_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_setfam_1 (esk24_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_relat_1 (k4_relat_1 X1) → False) → False) → (∀X1, (v7_membered X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v6_membered X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v5_membered X1 → False) → v6_membered X1 → False) → (∀X1, (v4_membered X1 → False) → v5_membered X1 → False) → (∀X1, (v3_membered X1 → False) → v4_membered X1 → False) → (∀X1, (v2_membered X1 → False) → v3_membered X1 → False) → (∀X1, (v1_membered X1 → False) → v3_membered X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → ((k4_partit1 esk1_0 (k8_eqrel_1 esk1_0 (k4_relat_1 esk1_0))) = (k4_relat_1 esk1_0) → False) → (∀X1 X2, v1_xboole_0 (k2_tarski X1 X2) → False) → (∀X1, v1_subset_1 (esk30_1 X1) X1 → False) → (∀X1, v1_xboole_0 (k1_tarski X1) → False) → (∀X1, v1_xboole_0 (k1_zfmisc_1 X1) → False) → (v1_xboole_0 esk29_0 → False) → (v1_xboole_0 esk28_0 → False) → (v1_xboole_0 esk25_0 → False) → (v1_xboole_0 esk20_0 → False) → (v1_xboole_0 esk1_0 → False) → (∀X2 X1, (m1_subset_1 (esk21_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → False) → (∀X1, (m1_subset_1 (esk26_1 X1) (k1_zfmisc_1 (k2_zfmisc_1 X1 X1)) → False) → False) → (∀X1, (m1_subset_1 (k4_relat_1 X1) (k1_zfmisc_1 (k2_zfmisc_1 X1 X1)) → False) → False) → (∀X1, (m1_eqrel_1 (k8_eqrel_1 X1 (k4_relat_1 X1)) X1 → False) → False) → (∀X2 X1, (v5_relat_1 (esk21_2 X1 X2) X2 → False) → False) → (∀X1 X2, (v4_relat_1 (esk21_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v1_relat_1 (esk21_2 X1 X2) → False) → False) → (∀X1 X2, (v1_xboole_0 (esk21_2 X1 X2) → False) → False) → (∀X2 X1, ((k2_tarski X1 X2) = (k2_tarski X2 X1) → False) → False) → (∀X1, (m1_subset_1 (esk30_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk27_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v5_relat_1 (esk26_1 X1) X1 → False) → False) → (∀X1, (v4_relat_1 (esk26_1 X1) X1 → False) → False) → (∀X1, (v1_partfun1 (esk26_1 X1) X1 → False) → False) → (∀X1, (v1_partfun1 (k4_relat_1 X1) X1 → False) → False) → (∀X1, (m1_eqrel_1 (esk16_1 X1) X1 → False) → False) → (∀X1, (m1_subset_1 (esk17_1 X1) X1 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → (∀X1, (v4_relat_2 (esk26_1 X1) → False) → False) → (∀X1, (v4_relat_2 (k4_relat_1 X1) → False) → False) → (∀X1, (v1_relat_2 (esk26_1 X1) → False) → False) → (∀X1, (v8_relat_2 (esk26_1 X1) → False) → False) → (∀X1, (v8_relat_2 (