Theorem. (t11_cantor_1)
∀k10_xtuple_0 : set → set, ∀k13_prob_1 : set → set → set → set → set → set, ∀esk42_3 : set → set → set → set, ∀r1_tarski : set → set → prop, ∀esk5_3 : set → set → set → set, ∀v4_relat_1 : set → set → prop, ∀esk11_2 : set → set → set, ∀v1_subset_1 : set → set → prop, ∀esk34_2 : set → set → set, ∀v2_finset_1 : set → prop, ∀v5_finset_1 : set → prop, ∀v4_card_3 : set → prop, ∀esk37_1 : set → set, ∀esk32_1 : set → set, ∀esk21_1 : set → set, ∀v2_funct_1 : set → prop, ∀esk27_1 : set → set, ∀esk31_0 : set, ∀esk40_0 : set, ∀esk38_0 : set, ∀esk25_0 : set, ∀esk15_0 : set, ∀esk35_2 : set → set → set, ∀esk29_0 : set, ∀esk16_0 : set, ∀esk17_0 : set, ∀esk20_0 : set, ∀o_0_0_xboole_0 : set, ∀esk14_0 : set, ∀esk23_0 : set, ∀esk10_1 : set → set, ∀esk24_1 : set → set, ∀esk30_2 : set → set → set, ∀esk18_2 : set → set → set, ∀esk22_0 : set, ∀esk26_0 : set, ∀esk39_0 : set, ∀esk33_0 : set, ∀esk2_0 : set, ∀esk1_0 : set, ∀v5_card_3 : set → prop, ∀v1_card_3 : set → prop, ∀v2_funcop_1 : set → prop, ∀esk19_1 : set → set, ∀esk28_1 : set → set, ∀esk36_1 : set → set, ∀v3_funct_1 : set → prop, ∀esk45_1 : set → set, ∀v1_zfmisc_1 : set → prop, ∀v1_funcop_1 : set → prop, ∀k3_tarski : set → set, ∀v4_funct_1 : set → prop, ∀esk9_2 : set → set → set, ∀esk44_2 : set → set → set, ∀esk8_2 : set → set → set, ∀v5_relat_1 : set → set → prop, ∀esk7_2 : set → set → set, ∀esk6_3 : set → set → set → set, ∀k1_relset_1 : set → set → set, ∀k1_xboole_0 : set, ∀k5_setfam_1 : set → set → set, ∀v1_relat_1 : set → prop, ∀k9_xtuple_0 : set → set, ∀m2_subset_1 : set → set → set → prop, ∀esk12_3 : set → set → set → set, ∀a_2_0_cantor_1 : set → set → set, ∀v1_xboole_0 : set → prop, ∀esk4_3 : set → set → set → set, ∀k2_cantor_1 : set → set → set, ∀esk3_4 : set → set → set → set → set, ∀v1_finset_1 : set → prop, ∀esk41_3 : set → set → set → set, ∀esk43_4 : set → set → set → set → set, ∀k1_funct_1 : set → set → set, ∀k8_setfam_1 : set → set → set, ∀v1_funct_1 : set → prop, ∀a_4_0_cantor_1 : set → set → set → set → set, ∀r2_hidden : set → set → prop, ∀k2_zfmisc_1 : set → set → set, ∀v1_funct_2 : set → set → set → prop, ∀k1_zfmisc_1 : set → set, ∀esk13_5 : set → set → set → set → set → set, ∀m1_subset_1 : set → set → prop, (∀X4 X3 X1 X2 X5, (m1_subset_1 (esk13_5 X1 X2 X3 X4 X5) (k1_zfmisc_1 (k1_zfmisc_1 X2)) → False) → v1_funct_1 X5 → v1_funct_2 X5 X4 (k1_zfmisc_1 X3) → m1_subset_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → r2_hidden X1 (a_4_0_cantor_1 X2 X3 X4 X5) → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 (k1_zfmisc_1 X3))) → False) → (∀X4 X3 X1 X2 X5, (r2_hidden (esk13_5 X1 X2 X3 X4 X5) (k10_xtuple_0 X5) → False) → v1_funct_1 X5 → v1_funct_2 X5 X4 (k1_zfmisc_1 X3) → m1_subset_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → r2_hidden X1 (a_4_0_cantor_1 X2 X3 X4 X5) → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 (k1_zfmisc_1 X3))) → False) → (∀X4 X3 X1 X2 X5, ((k8_setfam_1 X2 (esk13_5 X1 X2 X3 X4 X5)) = X1 → False) → v1_funct_1 X5 → v1_funct_2 X5 X4 (k1_zfmisc_1 X3) → m1_subset_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → r2_hidden X1 (a_4_0_cantor_1 X2 X3 X4 X5) → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 (k1_zfmisc_1 X3))) → False) → (∀X5 X4 X1 X2 X3, (m1_subset_1 (k13_prob_1 X2 X4 X1 X3 X5) (k1_zfmisc_1 (k1_zfmisc_1 X2)) → False) → v1_funct_1 X3 → v1_funct_2 X3 X4 (k1_zfmisc_1 X1) → m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X4 (k1_zfmisc_1 X1))) → False) → (∀X5 X4 X1 X2 X3, ((k13_prob_1 X2 X4 X1 X3 X5) = (k1_funct_1 X3 X5) → False) → v1_funct_1 X3 → v1_funct_2 X3 X4 (k1_zfmisc_1 X1) → m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X4 (k1_zfmisc_1 X1))) → False) → (∀X1 X5 X6 X4 X2 X3, (r2_hidden X3 (a_4_0_cantor_1 X2 X5 X6 X4) → False) → X3 = (k8_setfam_1 X2 X1) → v1_funct_1 X4 → r2_hidden X1 (k10_xtuple_0 X4) → v1_funct_2 X4 X6 (k1_zfmisc_1 X5) → m1_subset_1 X6 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → m1_subset_1 X5 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X6 (k1_zfmisc_1 X5))) → False) → (∀X6 X5 X4 X3 X2 X1, (m1_subset_1 (esk43_4 X1 X2 X3 X4) (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → X5 = X6 → (esk41_3 X1 X2 X3) = (k8_setfam_1 X1 X6) → v1_finset_1 X5 → r2_hidden X4 X3 → r2_hidden X5 (k1_zfmisc_1 X2) → m1_subset_1 X6 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X6 X5 X2 X4 X3 X1, ((k8_setfam_1 X2 (esk43_4 X2 X3 X4 X1)) = X1 → False) → X5 = X6 → (esk41_3 X2 X3 X4) = (k8_setfam_1 X2 X6) → v1_finset_1 X5 → r2_hidden X1 X4 → r2_hidden X5 (k1_zfmisc_1 X3) → m1_subset_1 X6 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → m1_subset_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → False) → (∀X4 X1 X2 X3, (r2_hidden (esk41_3 X1 X2 X3) X3 → False) → (m1_subset_1 (esk43_4 X1 X2 X3 X4) (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → r2_hidden X4 X3 → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X1 X2 X3 X4, ((k8_setfam_1 X2 (esk43_4 X2 X3 X4 X1)) = X1 → False) → (r2_hidden (esk41_3 X2 X3 X4) X4 → False) → r2_hidden X1 X4 → m1_subset_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → False) → (∀X4 X1 X2 X3, (m1_subset_1 (esk3_4 X1 X2 X3 X4) (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → X3 = (k2_cantor_1 X1 X2) → r2_hidden X4 X3 → m1_subset_1 X4 (k1_zfmisc_1 X1) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X6 X5 X1 X4 X3 X2, ((k1_funct_1 (esk42_3 X1 X2 X3) X4) = (esk43_4 X1 X2 X3 X4) → False) → X5 = X6 → (esk41_3 X1 X2 X3) = (k8_setfam_1 X1 X6) → v1_finset_1 X5 → r2_hidden X4 X3 → r2_hidden X5 (k1_zfmisc_1 X2) → m1_subset_1 X6 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X1 X2 X3 X4, ((k8_setfam_1 X2 (esk3_4 X2 X3 X4 X1)) = X1 → False) → X4 = (k2_cantor_1 X2 X3) → r2_hidden X1 X4 → m1_subset_1 X1 (k1_zfmisc_1 X2) → m1_subset_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → False) → (∀X4 X1 X2 X3, (r1_tarski (esk3_4 X1 X2 X3 X4) X2 → False) → X3 = (k2_cantor_1 X1 X2) → r2_hidden X4 X3 → m1_subset_1 X4 (k1_zfmisc_1 X1) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X4 X1 X2 X3, (v1_finset_1 (esk3_4 X1 X2 X3 X4) → False) → X3 = (k2_cantor_1 X1 X2) → r2_hidden X4 X3 → m1_subset_1 X4 (k1_zfmisc_1 X1) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X4 X1 X2 X3, ((k1_funct_1 (esk42_3 X1 X2 X3) X4) = (esk43_4 X1 X2 X3 X4) → False) → (r2_hidden (esk41_3 X1 X2 X3) X3 → False) → r2_hidden X4 X3 → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X6 X5 X4 X3 X2 X1, (v1_finset_1 (k1_funct_1 (esk42_3 X1 X2 X3) X4) → False) → X5 = X6 → (esk41_3 X1 X2 X3) = (k8_setfam_1 X1 X6) → v1_finset_1 X5 → r2_hidden X4 X3 → r2_hidden X5 (k1_zfmisc_1 X2) → m1_subset_1 X6 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X5 X4 X1 X3 X2, (m1_subset_1 (esk42_3 X1 X2 X3) (k1_zfmisc_1 (k2_zfmisc_1 X3 (k1_zfmisc_1 X2))) → False) → X4 = X5 → (esk41_3 X1 X2 X3) = (k8_setfam_1 X1 X5) → v1_finset_1 X4 → r2_hidden X4 (k1_zfmisc_1 X2) → m1_subset_1 X5 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X4 X1 X2 X3, (X3 = (k2_cantor_1 X1 X2) → False) → (esk4_3 X1 X2 X3) = (k8_setfam_1 X1 X4) → v1_finset_1 X4 → r1_tarski X4 X2 → m1_subset_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → r2_hidden (esk4_3 X1 X2 X3) X3 → False) → (∀X4 X1 X2 X3, (r2_hidden (esk41_3 X1 X2 X3) X3 → False) → (v1_finset_1 (k1_funct_1 (esk42_3 X1 X2 X3) X4) → False) → r2_hidden X4 X3 → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X5 X4 X1 X3 X2, (v1_funct_2 (esk42_3 X1 X2 X3) X3 (k1_zfmisc_1 X2) → False) → X4 = X5 → (esk41_3 X1 X2 X3) = (k8_setfam_1 X1 X5) → v1_finset_1 X4 → r2_hidden X4 (k1_zfmisc_1 X2) → m1_subset_1 X5 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X3 X1 X2, (r2_hidden (esk41_3 X1 X2 X3) X3 → False) → (m1_subset_1 (esk42_3 X1 X2 X3) (k1_zfmisc_1 (k2_zfmisc_1 X3 (k1_zfmisc_1 X2))) → False) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X5 X4 X1 X2 X3, (v1_funct_1 (esk42_3 X1 X2 X3) → False) → X4 = X5 → (esk41_3 X1 X2 X3) = (k8_setfam_1 X1 X5) → v1_finset_1 X4 → r2_hidden X4 (k1_zfmisc_1 X2) → m1_subset_1 X5 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X3 X1 X2, (X3 = (k2_cantor_1 X1 X2) → False) → ((k8_setfam_1 X1 (esk5_3 X1 X2 X3)) = (esk4_3 X1 X2 X3) → False) → (r2_hidden (esk4_3 X1 X2 X3) X3 → False) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X3 X1 X2, (r2_hidden (esk41_3 X1 X2 X3) X3 → False) → (v1_funct_2 (esk42_3 X1 X2 X3) X3 (k1_zfmisc_1 X2) → False) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X3 X1 X2, (X3 = (k2_cantor_1 X1 X2) → False) → (r2_hidden (esk4_3 X1 X2 X3) X3 → False) → (m1_subset_1 (esk5_3 X1 X2 X3) (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X3 X1 X2, (X3 = (k2_cantor_1 X1 X2) → False) → (r2_hidden (esk4_3 X1 X2 X3) X3 → False) → (r1_tarski (esk5_3 X1 X2 X3) X2 → False) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X3 X1 X2, (X3 = (k2_cantor_1 X1 X2) → False) → (v1_finset_1 (esk5_3 X1 X2 X3) → False) → (r2_hidden (esk4_3 X1 X2 X3) X3 → False) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X2 X1 X3, (v1_xboole_0 X3 → False) → (m2_subset_1 (esk12_3 X1 X2 X3) (k1_zfmisc_1 (k1_zfmisc_1 X2)) X3 → False) → r2_hidden X1 (a_2_0_cantor_1 X2 X3) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 (k1_zfmisc_1 X2))) → False) → (∀X3 X1 X2, (v1_funct_1 (esk42_3 X1 X2 X3) → False) → (r2_hidden (esk41_3 X1 X2 X3) X3 → False) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X4 X2 X3 X1, (v1_relat_1 (k9_xtuple_0 X1) → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X3) X4)) → False) → (∀X2 X4 X3 X1, (v1_relat_1 (k10_xtuple_0 X1) → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 (k2_zfmisc_1 X3 X4))) → False) → (∀X2 X1 X3, ((k8_setfam_1 X2 (esk12_3 X1 X2 X3)) = X1 → False) → (v1_xboole_0 X3 → False) → r2_hidden X1 (a_2_0_cantor_1 X2 X3) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 (k1_zfmisc_1 X2))) → False) → (∀X3 X2 X1 X4 X5, (r2_hidden X4 X5 → False) → X5 = (k2_cantor_1 X2 X3) → X4 = (k8_setfam_1 X2 X1) → v1_finset_1 X1 → r1_tarski X1 X3 → m1_subset_1 X4 (k1_zfmisc_1 X2) → m1_subset_1 X5 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → False) → (∀X4 X2 X1 X3, (v1_xboole_0 X3 → False) → (r2_hidden X4 (a_2_0_cantor_1 X2 X3) → False) → X4 = (k8_setfam_1 X2 X1) → m2_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2)) X3 → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 (k1_zfmisc_1 X2))) → False) → (∀X3 X1 X2, (X3 = (k2_cantor_1 X1 X2) → False) → (m1_subset_1 (esk4_3 X1 X2 X3) (k1_zfmisc_1 X1) → False) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → (∀X2 X3 X1, ((k8_setfam_1 X2 X3) = (k8_setfam_1 X2 (k5_setfam_1 (k1_zfmisc_1 X2) X1)) → False) → (v1_xboole_0 X1 → False) → X3 = (a_2_0_cantor_1 X2 X1) → m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 (k1_zfmisc_1 X2))) → False) → (∀X3 X2 X1, (v1_finset_1 X1 → False) → v1_funct_1 X1 → v1_finset_1 X2 → v1_funct_2 X1 X2 X3 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X2 X1 X3, (X3 = k1_xboole_0 → False) → ((k1_relset_1 X2 X1) = X2 → False) → v1_funct_2 X1 X2 X3 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X3 X2 X1, (X1 = k1_xboole_0 → False) → X3 = k1_xboole_0 → v1_funct_2 X1 X2 X3 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X1 X2 X3, (X3 = k1_xboole_0 → False) → (v1_funct_2 X2 X1 X3 → False) → (k1_relset_1 X1 X2) = X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → False) → (∀X1 X2 X3, (v1_funct_2 X1 X2 X3 → False) → X3 = k1_xboole_0 → X1 = k1_xboole_0 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X3 X2 X1, (r2_hidden (esk6_3 X1 X2 X3) (k9_xtuple_0 X1) → False) → X2 = (k10_xtuple_0 X1) → v1_relat_1 X1 → v1_funct_1 X1 → r2_hidden X3 X2 → False) → (∀X1 X3 X2, ((k1_funct_1 X2 (esk6_3 X2 X3 X1)) = X1 → False) → X3 = (k10_xtuple_0 X2) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 X3 → False) → (∀X3 X2 X1, (X2 = (k10_xtuple_0 X1) → False) → (esk7_2 X1 X2) = (k1_funct_1 X1 X3) → v1_relat_1 X1 → v1_funct_1 X1 → r2_hidden X3 (k9_xtuple_0 X1) → r2_hidden (esk7_2 X1 X2) X2 → False) → (∀X1 X3 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m1_subset_1 X3 X1 → False) → m2_subset_1 X3 X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1 X3, (v1_xboole_0 X3 → False) → (v1_xboole_0 X2 → False) → (m1_subset_1 X1 X3 → False) → m2_subset_1 X1 X2 X3 → m1_subset_1 X3 (k1_zfmisc_1 X2) → False) → (∀X3 X1 X2, (v4_relat_1 X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X3 X1 X2, (v5_relat_1 X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X2)) → 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) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m2_subset_1 (esk11_2 X1 X2) X1 X2 → False) → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1 X3, (v1_xboole_0 X3 → False) → (v1_xboole_0 X2 → False) → (m2_subset_1 X1 X3 X2 → False) → m1_subset_1 X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X3 X2 X1, (v1_relat_1 X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X2 X1, (X2 = (k10_xtuple_0 X1) → False) → ((k1_funct_1 X1 (esk8_2 X1 X2)) = (esk7_2 X1 X2) → False) → (r2_hidden (esk7_2 X1 X2) X2 → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X2 X1, (m1_subset_1 (k2_cantor_1 X2 X1) (k1_zfmisc_1 (k1_zfmisc_1 X2)) → False) → m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → False) → (∀X1 X3 X2, r2_hidden X3 X2 → r2_hidden X1 X2 → r2_hidden X1 (esk44_2 X3 X2) → False) → (∀X2 X1, (X2 = (k10_xtuple_0 X1) → False) → (r2_hidden (esk7_2 X1 X2) X2 → False) → (r2_hidden (esk8_2 X1 X2) (k9_xtuple_0 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → 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, (m1_subset_1 (k8_setfam_1 X2 X1) (k1_zfmisc_1 X2) → False) → m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → False) → (∀X2 X1 X3 X4, (r2_hidden X3 X4 → False) → X4 = (k10_xtuple_0 X2) → X3 = (k1_funct_1 X2 X1) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 (k9_xtuple_0 X2) → False) → (∀X2 X1, (r1_tarski X1 (k2_cantor_1 X2 X1) → False) → m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → r2_hidden (esk9_2 X1 X2) X2 → False) → (∀X2 X1, (m1_subset_1 (k1_relset_1 X2 X1) (k1_zfmisc_1 X2) → False) → v1_relat_1 X1 → v4_relat_1 X1 X2 → False) → (∀X2 X3 X1, (v1_funct_1 (k1_funct_1 X1 X2) → False) → v1_relat_1 X1 → v1_funct_1 X1 → v4_funct_1 X3 → v5_relat_1 X1 X3 → False) → (∀X2 X3 X1, (v1_relat_1 (k1_funct_1 X1 X2) → False) → v1_relat_1 X1 → v1_funct_1 X1 → v4_funct_1 X3 → v5_relat_1 X1 X3 → 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) → (∀X2 X1, (r2_hidden (esk44_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 X3, (r1_tarski X1 X3 → False) → r1_tarski X2 X3 → r1_tarski X1 X2 → False) → (∀X1 X3 X2, (r2_hidden X3 X2 → False) → r2_hidden X3 X1 → r1_tarski X1 X2 → 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) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → v1_xboole_0 (esk34_2 X1 X2) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → v1_xboole_0 (k2_zfmisc_1 X1 X2) → False) → (∀X1 X2, (r1_tarski X1 X2 → False) → (r2_hidden (esk9_2 X1 X2) X1 → False) → False) → (∀X2 X1, (v5_relat_1 X1 X2 → False) → v1_relat_1 X1 → r1_tarski (k10_xtuple_0 X1) X2 → False) → (∀X2 X1, (v1_finset_1 (k1_funct_1 X1 X2) → False) → v1_relat_1 X1 → v1_funct_1 X1 → v2_finset_1 X1 → False) → (∀X2 X1, (v1_funct_1 (k1_funct_1 X1 X2) → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_funcop_1 X1 → False) → (∀X2 X1, (v1_relat_1 (k1_funct_1 X1 X2) → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_funcop_1 X1 → False) → (∀X1 X2, (v1_funct_1 X2 → False) → v1_relat_1 X1 → v1_funct_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (r1_tarski (k10_xtuple_0 X1) X2 → False) → v1_relat_1 X1 → v5_relat_1 X1 X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v4_relat_1 (esk34_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v5_relat_1 (esk34_2 X1 X2) X2 → False) → False) → (∀X2 X1, (r1_tarski (k3_tarski X1) (k3_tarski X2) → False) → r1_tarski X1 X2 → False) → (∀X2 X1, (r1_tarski (k1_zfmisc_1 X1) (k1_zfmisc_1 X2) → False) → r1_tarski X1 X2 → False) → (∀X2 X1, (v1_funcop_1 X1 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v4_funct_1 X2 → v5_relat_1 X1 X2 → False) → (∀X2 X1, ((k1_relset_1 X2 X1) = (k9_xtuple_0 X1) → False) → v1_relat_1 X1 → v4_relat_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, r2_hidden X2 X1 → r2_hidden X1 X2 → False) → (∀X2 X1, (v1_finset_1 (k2_zfmisc_1 X1 X2) → False) → v1_finset_1 X2 → v1_finset_1 X1 → False) → (∀X2 X1, (v1_finset_1 X1 → False) → r2_hidden X1 X2 → v1_finset_1 (k3_tarski X2) → False) → (∀X1 X2, (v5_finset_1 X2 → False) → v5_finset_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_zfmisc_1 X2 → False) → v1_zfmisc_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v4_card_3 X2 → False) → v4_card_3 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v4_funct_1 X2 → False) → v4_funct_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_finset_1 X2 → False) → v1_finset_1 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) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v1_finset_1 (esk34_2 X1 X2) → False) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v1_funct_1 (esk34_2 X1 X2) → False) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v1_relat_1 (esk34_2 X1 X2) → False) → False) → (∀X1, (v1_finset_1 (k3_tarski X1) → False) → (r2_hidden (esk45_1 X1) X1 → False) → v1_finset_1 X1 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_zfmisc_1 (k10_xtuple_0 X1) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_zfmisc_1 (k9_xtuple_0 X1) → False) → (∀X1, (v1_finset_1 (k3_tarski X1) → False) → v1_finset_1 X1 → v1_finset_1 (esk45_1 X1) → False) → (∀X1 X2, (v1_finset_1 X2 → False) → v5_finset_1 X1 → m1_subset_1 X2 X1 → False) → (∀X2 X1, (v1_funct_1 X1 → False) → v4_funct_1 X2 → m1_subset_1 X1 X2 → False) → (∀X2 X1, (v1_relat_1 X1 → False) → v4_funct_1 X2 → m1_subset_1 X1 X2 → False) → (∀X1, (v1_zfmisc_1 (k10_xtuple_0 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → v3_funct_1 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (m1_subset_1 (esk37_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (m1_subset_1 (esk36_1 X1) (k1_zfmisc_1 X1) → False) → 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 (esk28_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk21_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk19_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_zfmisc_1 X1 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_zfmisc_1 X1 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_xboole_0 X1 → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v2_funct_1 X1 → False) → v1_xboole_0 X1 → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v2_funcop_1 X1 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_funcop_1 X1 → False) → (∀X1, (v1_funcop_1 X1 → False) → v1_xboole_0 X1 → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v1_card_3 X1 → False) → v1_xboole_0 X1 → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_subset_1 (esk28_1 X1) X1 → False) → False) → (∀X1, (v5_finset_1 (k10_xtuple_0 X1) → False) → v1_relat_1 X1 → v2_finset_1 X1 → False) → (∀X1, (v1_finset_1 (k3_tarski X1) → False) → v1_finset_1 X1 → v5_finset_1 X1 → False) → (∀X1, (v1_finset_1 (k9_xtuple_0 X1) → False) → v1_relat_1 X1 → v1_finset_1 X1 → False) → (∀X1, (v1_finset_1 (k10_xtuple_0 X1) → False) → v1_relat_1 X1 → v1_finset_1 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_zfmisc_1 (esk37_1 X1) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_zfmisc_1 (esk36_1 X1) → False) → (∀X1, (v1_finset_1 X1 → False) → v1_finset_1 (k3_tarski X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk32_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk21_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk19_1 X1) → False) → (∀X1, (v2_finset_1 X1 → False) → v1_xboole_0 X1 → v1_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, (v5_finset_1 (k1_zfmisc_1 X1) → False) → v1_finset_1 X1 → False) → (∀X1, (v1_finset_1 (k1_zfmisc_1 X1) → False) → v1_finset_1 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → (v5_card_3 X1 → False) → v4_card_3 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → (k9_xtuple_0 X1) = k1_xboole_0 → v1_relat_1 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → (k10_xtuple_0 X1) = k1_xboole_0 → v1_relat_1 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (v1_finset_1 (esk37_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_zfmisc_1 (esk32_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_finset_1 (esk21_1 X1) → False) → False) → (∀X1, v1_finset_1 X1 → v5_card_3 X1 → False) → (∀X1, (v5_finset_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v4_card_3 X1 → False) → v5_card_3 X1 → False) → (∀X1, (v4_card_3 X1 → False) → v1_finset_1 X1 → False) → (∀X1, (v4_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v1_zfmisc_1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v1_zfmisc_1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → ((k2_cantor_1 esk1_0 (k2_cantor_1 esk1_0 esk2_0)) = (k2_cantor_1 esk1_0 esk2_0) → False) → (∀X1, v1_subset_1 (esk27_1 X1) X1 → False) → (∀X1, v1_xboole_0 (k1_zfmisc_1 X1) → False) → (v3_funct_1 esk31_0 → False) → (v1_finset_1 esk33_0 → False) → (v1_xboole_0 esk40_0 → False) → (v1_xboole_0 esk39_0 → False) → (v1_xboole_0 esk38_0 → False) → (v1_xboole_0 esk26_0 → False) → (v1_xboole_0 esk25_0 → False) → (v1_xboole_0 esk22_0 → False) → (v1_xboole_0 esk15_0 → False) → (∀X2 X1, (m1_subset_1 (esk18_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → False) → (∀X1 X2, (v4_relat_1 (esk35_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v4_relat_1 (esk30_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v4_relat_1 (esk18_2 X1 X2) X1 → False) → False) → (∀X2 X1, (v5_relat_1 (esk35_2 X1 X2) X2 → False) → False) → (∀X2 X1, (v5_relat_1 (esk30_2 X1 X2) X2 → False) → False) → (∀X2 X1, (v5_relat_1 (esk18_2 X1 X2) X2 → False) → False) → (∀X1, (m1_subset_1 (k1_zfmisc_1 X1) (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → False) → (∀X1 X2, (v1_finset_1 (esk30_2 X1 X2) → False) → False) → (∀X1 X2, (v1_funct_1 (esk35_2 X1 X2) → False) → False) → (∀X1 X2, (v1_funct_1 (esk30_2 X1 X2) → False) → False) → (∀X1 X2, (v1_relat_1 (esk35_2 X1 X2) → False) → False) → (∀X1 X2, (v1_relat_1 (esk30_2 X1 X2) → False) → False) → (∀X1 X2, (v1_relat_1 (esk18_2 X1 X2) → False) → False) → (∀X1 X2, (v1_xboole_0 (esk18_2 X1 X2) → False) → False) → (∀X1, (m1_subset_1 (esk27_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk24_1 X1) (k1_zfmisc_1 X1) → False) → False) → ((m1_subset_1 esk2_0 (k1_zfmisc_1 (k1_zfmisc_1 esk1_0)) → False) → False) → (∀X1, (m1_subset_1 (esk10_1 X1) X1 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → (∀X1, ((k3_tarski (k1_zfmisc_1 X1)) = X1 → False) → False) → (∀X1, (v1_xboole_0 (esk24_1 X1) → False) → False) → ((v2_finset_1 esk40_0 → False) → False) → ((v5_finset_1 esk39_0 → False) → False) → ((v3_funct_1 esk22_0 → False) → False) → ((v5_card_3 esk29_0 → False) → False) → ((v2_funct_1 esk23_0 → False) → False) → ((v1_funcop_1 esk16_0 → False) → False) → ((v4_funct_1 esk38_0 → False) → False) → ((v1_finset_1 esk39_0 → False) → False) → ((v1_finset_1 esk26_0 → False) → False) → ((v1_finset_1 esk15_0 → False) → False) → ((v1_card_3 esk14_0 → False) → False) → ((v1_funct_1 esk40_0 → False) → False) → ((v1_funct_1 esk33_0 → False) → False) → ((v1_funct_1 esk31_0 → False) → False) → ((v1_funct_1 esk26_0 → False) → False) → ((v1_funct_1 esk23_0 → False) → False) → ((v1_funct_1 esk22_0 → False) → False) → ((v1_funct_1 esk17_0 → False) → False) → ((v1_funct_1 esk16_0 → False) → False) → ((v1_funct_1 esk14_0 → False) → False) → ((v1_relat_1 esk40_0 → False) → False) → ((v1_relat_1 esk33_0 → False) → False) → ((v1_relat_1 esk31_0 → False) → False) → ((v1_relat_1 esk26_0 → False) → False) → ((v1_relat_1 esk23_0 → False) → False) → ((v1_relat_1 esk22_0 → False) → False) → ((v1_relat_1 esk17_0 → False) → False) → ((v1_relat_1 esk16_0 → False) → False) → ((v1_relat_1 esk14_0 → False) → False) → ((v1_xboole_0 esk20_0 → False) → False) → ((v1_xboole_0 o_0_0_xboole_0 → False) → False) → ((v1_xboole_0 k1_xboole_0 → False) → False) → (((k3_tarski k1_xboole_0) = k1_xboole_0 → False) → False) → (((k9_xtuple_0 k1_xboole_0) = k1_xboole_0 → False) → False) → (((k10_xtuple_0 k1_xboole_0) = k1_xboole_0 → False) → False) → ((o_0_0_xboole_0 = k1_xboole_0 → False) → False) → False
In Proofgold the corresponding term root is fd462a... and proposition id is bab088...
Proof:
The rest of the proof is missing.