Theorem. (
t4_pralg_3)
∀k9_xtuple_0 : set → set, ∀v1_relat_1 : set → prop, ∀esk8_3 : set → set → set → set, ∀esk7_3 : set → set → set → set, ∀k1_xboole_0 : set, ∀k10_funct_6 : set → set, ∀m1_subset_1 : set → set → prop, ∀esk9_3 : set → set → set → set, ∀esk10_2 : set → set → set, ∀esk13_3 : set → set → set → set, ∀v2_relat_1 : set → prop, ∀esk15_2 : set → set → set, ∀esk12_2 : set → set → set, ∀k1_relset_1 : set → set → set, ∀v1_setfam_1 : set → prop, ∀v3_funct_1 : set → prop, ∀esk43_1 : set → set, ∀esk24_1 : set → set, ∀v2_funct_1 : set → prop, ∀v1_card_3 : set → prop, ∀v2_setfam_1 : set → prop, ∀esk36_1 : set → set, ∀esk37_1 : set → set, ∀esk42_0 : set, ∀esk45_0 : set, ∀esk33_0 : set, ∀esk26_0 : set, ∀esk22_0 : set, ∀esk1_0 : set, ∀esk31_1 : set → set, ∀esk40_1 : set → set, ∀esk35_1 : set → set, ∀esk21_1 : set → set, ∀esk34_0 : set, ∀esk18_0 : set, ∀esk19_0 : set, ∀esk25_0 : set, ∀o_0_0_xboole_0 : set, ∀esk20_0 : set, ∀esk29_0 : set, ∀esk27_0 : set, ∀esk46_1 : set → set, ∀esk28_1 : set → set, ∀esk38_1 : set → set, ∀esk16_1 : set → set, ∀esk3_0 : set, ∀esk23_0 : set, ∀esk32_0 : set, ∀esk39_0 : set, ∀esk30_0 : set, ∀esk5_0 : set, ∀esk4_0 : set, ∀esk2_0 : set, ∀v2_funcop_1 : set → prop, ∀esk41_1 : set → set, ∀esk44_1 : set → set, ∀v1_zfmisc_1 : set → prop, ∀k9_card_3 : set → set, ∀v2_card_3 : set → prop, ∀v4_funct_1 : set → prop, ∀v1_subset_1 : set → set → prop, ∀k1_zfmisc_1 : set → set, ∀v3_relat_1 : set → prop, ∀esk47_2 : set → set → set, ∀esk11_2 : set → set → set, ∀esk14_2 : set → set → set, ∀k3_tarski : set → set, ∀v1_xboole_0 : set → prop, ∀v4_relat_1 : set → set → prop, ∀a_2_0_pralg_3 : set → set → set, ∀v1_partfun1 : set → set → prop, ∀v1_funcop_1 : set → prop, ∀esk17_3 : set → set → set → set, ∀k1_funct_1 : set → set → set, ∀v1_funct_1 : set → prop, ∀r1_tarski : set → set → prop, ∀esk6_4 : set → set → set → set → set, ∀k10_xtuple_0 : set → set, ∀k1_funct_2 : set → set → set, ∀r2_hidden : set → set → prop, (∀X2 X1 X3 X4, (r1_tarski (k10_xtuple_0 (esk6_4 X1 X2 X3 X4)) X2 → False) → X3 = (k1_funct_2 X1 X2) → r2_hidden X4 X3 → False) → (∀X2 X1 X3 X4, ((k9_xtuple_0 (esk6_4 X1 X2 X3 X4)) = X1 → False) → X3 = (k1_funct_2 X1 X2) → r2_hidden X4 X3 → False) → (∀X2 X1 X3 X4, (v1_funct_1 (esk6_4 X1 X2 X3 X4) → False) → X3 = (k1_funct_2 X1 X2) → r2_hidden X4 X3 → False) → (∀X2 X1 X3 X4, (v1_relat_1 (esk6_4 X1 X2 X3 X4) → False) → X3 = (k1_funct_2 X1 X2) → r2_hidden X4 X3 → False) → (∀X2 X1 X3, ((k10_xtuple_0 (k1_funct_1 X2 (esk17_3 X1 X3 X2))) = X1 → False) → (v1_xboole_0 X3 → False) → v1_relat_1 X2 → v1_funct_1 X2 → v1_funcop_1 X2 → v4_relat_1 X2 X3 → v1_partfun1 X2 X3 → r2_hidden X1 (a_2_0_pralg_3 X3 X2) → False) → (∀X2 X1 X3, (X3 = (k1_funct_2 X1 X2) → False) → (r2_hidden (esk7_3 X1 X2 X3) X3 → False) → (r1_tarski (k10_xtuple_0 (esk8_3 X1 X2 X3)) X2 → False) → False) → (∀X4 X1 X2 X3, (X3 = (k1_funct_2 X1 X2) → False) → (k9_xtuple_0 X4) = X1 → (esk7_3 X1 X2 X3) = X4 → v1_relat_1 X4 → v1_funct_1 X4 → r1_tarski (k10_xtuple_0 X4) X2 → r2_hidden (esk7_3 X1 X2 X3) X3 → False) → (∀X5 X7 X8 X2 X1 X4 X3 X6, (X6 = k1_xboole_0 → False) → (X5 = k1_xboole_0 → False) → ((k1_funct_1 X1 X2) = (k1_funct_1 X3 X4) → False) → (k1_funct_1 X7 X2) = X3 → (k1_funct_1 (k10_funct_6 X7) X4) = X1 → v1_relat_1 X7 → v1_relat_1 X3 → v1_relat_1 X1 → v1_funct_1 X7 → v1_funct_1 X3 → v1_funct_1 X1 → r2_hidden X4 X6 → r2_hidden X2 X5 → r2_hidden X7 (k1_funct_2 X5 (k1_funct_2 X6 X8)) → False) → (∀X4 X7 X3 X5 X8 X1 X2 X6, (X6 = k1_xboole_0 → False) → (X4 = k1_xboole_0 → False) → (r1_tarski (k10_xtuple_0 X1) X2 → False) → (k1_funct_1 X7 X3) = X1 → (k1_funct_1 (k10_funct_6 X7) X5) = X8 → v1_relat_1 X8 → v1_relat_1 X7 → v1_relat_1 X1 → v1_funct_1 X8 → v1_funct_1 X7 → v1_funct_1 X1 → r2_hidden X5 X6 → r2_hidden X3 X4 → r2_hidden X7 (k1_funct_2 X4 (k1_funct_2 X6 X2)) → False) → (∀X4 X8 X7 X3 X5 X1 X2 X6, (X6 = k1_xboole_0 → False) → (X4 = k1_xboole_0 → False) → (r1_tarski (k10_xtuple_0 X1) X2 → False) → (k1_funct_1 X7 X3) = X8 → (k1_funct_1 (k10_funct_6 X7) X5) = X1 → v1_relat_1 X8 → v1_relat_1 X7 → v1_relat_1 X1 → v1_funct_1 X8 → v1_funct_1 X7 → v1_funct_1 X1 → r2_hidden X5 X6 → r2_hidden X3 X4 → r2_hidden X7 (k1_funct_2 X4 (k1_funct_2 X6 X2)) → False) → (∀X2 X6 X3 X8 X5 X7 X1 X4, (X4 = k1_xboole_0 → False) → (X2 = k1_xboole_0 → False) → ((k9_xtuple_0 X1) = X2 → False) → (k1_funct_1 X6 X3) = X1 → (k1_funct_1 (k10_funct_6 X6) X5) = X7 → v1_relat_1 X7 → v1_relat_1 X6 → v1_relat_1 X1 → v1_funct_1 X7 → v1_funct_1 X6 → v1_funct_1 X1 → r2_hidden X5 X2 → r2_hidden X3 X4 → r2_hidden X6 (k1_funct_2 X4 (k1_funct_2 X2 X8)) → False) → (∀X2 X7 X6 X3 X8 X4 X1 X5, (X5 = k1_xboole_0 → False) → (X2 = k1_xboole_0 → False) → ((k9_xtuple_0 X1) = X2 → False) → (k1_funct_1 X6 X3) = X7 → (k1_funct_1 (k10_funct_6 X6) X4) = X1 → v1_relat_1 X7 → v1_relat_1 X6 → v1_relat_1 X1 → v1_funct_1 X7 → v1_funct_1 X6 → v1_funct_1 X1 → r2_hidden X4 X5 → r2_hidden X3 X2 → r2_hidden X6 (k1_funct_2 X2 (k1_funct_2 X5 X8)) → False) → (∀X3 X2 X4 X1, ((esk6_4 X2 X3 X4 X1) = X1 → False) → X4 = (k1_funct_2 X2 X3) → r2_hidden X1 X4 → False) → (∀X3 X1 X2, (v1_xboole_0 X2 → False) → (m1_subset_1 (esk17_3 X1 X2 X3) X2 → False) → v1_relat_1 X3 → v1_funct_1 X3 → v1_funcop_1 X3 → v4_relat_1 X3 X2 → v1_partfun1 X3 X2 → r2_hidden X1 (a_2_0_pralg_3 X2 X3) → False) → (∀X3 X2 X1, (X3 = (k1_funct_2 X1 X2) → False) → ((k9_xtuple_0 (esk8_3 X1 X2 X3)) = X1 → False) → (r2_hidden (esk7_3 X1 X2 X3) X3 → False) → False) → (∀X3 X2 X1, (X3 = (k1_funct_2 X1 X2) → False) → (v1_funct_1 (esk8_3 X1 X2 X3) → False) → (r2_hidden (esk7_3 X1 X2 X3) X3 → False) → False) → (∀X3 X2 X1, (X3 = (k1_funct_2 X1 X2) → False) → (v1_relat_1 (esk8_3 X1 X2 X3) → False) → (r2_hidden (esk7_3 X1 X2 X3) X3 → False) → False) → (∀X3 X2 X1, (X3 = (k1_funct_2 X1 X2) → False) → ((esk7_3 X1 X2 X3) = (esk8_3 X1 X2 X3) → False) → (r2_hidden (esk7_3 X1 X2 X3) X3 → False) → False) → (∀X3 X4 X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X3 (a_2_0_pralg_3 X2 X4) → False) → X3 = (k10_xtuple_0 (k1_funct_1 X4 X1)) → v1_relat_1 X4 → v1_funct_1 X4 → v1_funcop_1 X4 → v4_relat_1 X4 X2 → v1_partfun1 X4 X2 → m1_subset_1 X1 X2 → False) → (∀X3 X2 X1, (r2_hidden (esk9_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 (esk9_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) → (esk10_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 (esk10_2 X1 X2) X2 → False) → (∀X3 X2 X1, (X2 = (k3_tarski X1) → False) → r2_hidden X3 X1 → r2_hidden (esk14_2 X1 X2) X3 → r2_hidden (esk14_2 X1 X2) X2 → False) → (∀X1 X2 X3, (r2_hidden (esk13_3 X1 X2 X3) X1 → False) → X2 = (k3_tarski X1) → r2_hidden X3 X2 → False) → (∀X2 X3 X1, (r2_hidden X1 (esk13_3 X2 X3 X1) → False) → X3 = (k3_tarski X2) → r2_hidden X1 X3 → False) → (∀X2 X3 X1, (v1_xboole_0 X1 → False) → v1_relat_1 X2 → v1_funct_1 X2 → v2_relat_1 X2 → v4_relat_1 X2 X1 → v1_partfun1 X2 X1 → m1_subset_1 X3 X1 → v1_xboole_0 (k1_funct_1 X2 X3) → False) → (∀X2 X1, (X2 = (k10_xtuple_0 X1) → False) → ((k1_funct_1 X1 (esk11_2 X1 X2)) = (esk10_2 X1 X2) → False) → (r2_hidden (esk10_2 X1 X2) X2 → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1 X2, (X2 = (k3_tarski X1) → False) → (r2_hidden (esk14_2 X1 X2) X2 → False) → (r2_hidden (esk14_2 X1 X2) (esk15_2 X1 X2) → False) → False) → (∀X1 X3 X2, r2_hidden X3 X2 → r2_hidden X1 X2 → r2_hidden X1 (esk47_2 X3 X2) → False) → (∀X2 X1, (X2 = (k10_xtuple_0 X1) → False) → (r2_hidden (esk10_2 X1 X2) X2 → False) → (r2_hidden (esk11_2 X1 X2) (k9_xtuple_0 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v2_relat_1 X1 → v1_xboole_0 (k1_funct_1 X1 X2) → m1_subset_1 X2 (k9_xtuple_0 X1) → False) → (∀X1 X4 X3 X2 X5, (r2_hidden X2 X5 → False) → X1 = X2 → (k9_xtuple_0 X1) = X3 → X5 = (k1_funct_2 X3 X4) → v1_relat_1 X1 → v1_funct_1 X1 → r1_tarski (k10_xtuple_0 X1) X4 → 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) → (∀X1 X2, (X2 = (k3_tarski X1) → False) → (r2_hidden (esk14_2 X1 X2) X2 → False) → (r2_hidden (esk15_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v2_relat_1 X1 → v3_relat_1 X1 → v4_relat_1 X1 X2 → v1_partfun1 X1 X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v2_relat_1 X1 → v3_relat_1 X1 → v4_relat_1 X1 X2 → v1_partfun1 X1 X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v2_relat_1 X1 → v3_relat_1 X1 → v4_relat_1 X1 X2 → v1_partfun1 X1 X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → r2_hidden (esk12_2 X1 X2) X2 → False) → (∀X1 X3 X2, (v4_relat_1 X3 X2 → False) → v1_relat_1 X1 → v4_relat_1 X1 X2 → m1_subset_1 X3 (k1_zfmisc_1 X1) → 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) → (∀X1 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → v1_relat_1 X1 → v1_funct_1 X1 → v4_relat_1 X1 X2 → v1_partfun1 X1 X2 → False) → (∀X2 X1 X3, (m1_subset_1 X1 X3 → False) → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X1 X2, (v1_partfun1 X2 X1 → False) → (k1_relset_1 X1 X2) = X1 → v1_relat_1 X2 → v4_relat_1 X2 X1 → False) → (∀X3 X2 X1 X4, (r2_hidden X1 X4 → False) → X4 = (k3_tarski X3) → r2_hidden X2 X3 → r2_hidden X1 X2 → False) → (∀X2 X1, ((k1_relset_1 X2 X1) = X2 → False) → v1_relat_1 X1 → v4_relat_1 X1 X2 → v1_partfun1 X1 X2 → False) → (∀X2 X1, (r2_hidden (esk47_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, (v1_xboole_0 X1 → False) → (v1_partfun1 X2 (k9_card_3 X1) → False) → v4_funct_1 X1 → v2_card_3 X1 → m1_subset_1 X2 X1 → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v4_relat_1 X2 (k9_card_3 X1) → False) → v4_funct_1 X1 → v2_card_3 X1 → m1_subset_1 X2 X1 → False) → (∀X1 X3 X2, (r2_hidden X3 X2 → False) → r2_hidden X3 X1 → r1_tarski X1 X2 → False) → (∀X1 X2, ((k9_xtuple_0 X2) = (k9_card_3 X1) → False) → v1_relat_1 X2 → v1_funct_1 X2 → v4_funct_1 X1 → v2_card_3 X1 → r2_hidden X2 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) → (v1_subset_1 X2 X1 → False) → v1_xboole_0 X2 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (r1_tarski X1 X2 → False) → (r2_hidden (esk12_2 X1 X2) X1 → False) → 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) → (∀X2 X1, (v1_xboole_0 (k1_funct_1 X1 X2) → False) → v1_relat_1 X1 → v1_funct_1 X1 → v3_relat_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, ((k1_relset_1 X2 X1) = (k9_xtuple_0 X1) → False) → v1_relat_1 X1 → v4_relat_1 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) → (∀X1 X2, (v1_zfmisc_1 X2 → False) → v1_zfmisc_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v2_card_3 X2 → False) → v2_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_relat_1 X2 → False) → v1_relat_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) → (∀X2 X1, (v1_xboole_0 X1 → False) → v1_xboole_0 X2 → v1_setfam_1 X1 → m1_subset_1 X2 X1 → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → v1_xboole_0 X2 → v1_relat_1 X1 → v4_relat_1 X1 X2 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_zfmisc_1 (k9_xtuple_0 X1) → False) → (∀X1, (v3_funct_1 X1 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_zfmisc_1 (k10_xtuple_0 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_setfam_1 (k10_xtuple_0 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → v2_relat_1 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (m1_subset_1 (esk44_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk43_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk41_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk24_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_setfam_1 X1 → v1_xboole_0 (k3_tarski X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_relat_1 X1 → v1_xboole_0 (k9_xtuple_0 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_relat_1 X1 → v1_xboole_0 (k10_xtuple_0 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_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_card_3 X1 → False) → v1_xboole_0 X1 → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v1_funcop_1 X1 → False) → v1_xboole_0 X1 → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v2_setfam_1 X1 → False) → (m1_subset_1 (esk36_1 X1) X1 → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_subset_1 (esk41_1 X1) X1 → False) → False) → (∀X1, (v1_zfmisc_1 (k9_xtuple_0 X1) → False) → v1_relat_1 X1 → v1_zfmisc_1 X1 → False) → (∀X1, (v1_zfmisc_1 (k10_xtuple_0 X1) → False) → v1_relat_1 X1 → v1_zfmisc_1 X1 → False) → (∀X1, (v1_funcop_1 (k10_funct_6 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v1_funct_1 (k10_funct_6 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v1_relat_1 (k10_funct_6 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_zfmisc_1 (esk44_1 X1) → False) → (∀X1, (v2_setfam_1 X1 → False) → v1_xboole_0 (esk36_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk43_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk24_1 X1) → False) → (∀X1, (v3_relat_1 X1 → False) → v1_xboole_0 X1 → v1_relat_1 X1 → False) → (∀X1, (v2_relat_1 X1 → False) → v1_xboole_0 X1 → v1_relat_1 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_setfam_1 X1 → v2_setfam_1 X1 → False) → (∀X1, (v1_xboole_0 (k9_xtuple_0 X1) → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_xboole_0 (k9_card_3 X1) → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_xboole_0 (k10_xtuple_0 X1) → False) → v1_xboole_0 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_zfmisc_1 (esk43_1 X1) → False) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v2_setfam_1 X1 → False) → (∀X1, (v2_setfam_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v4_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_relat_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → ((k1_funct_1 (k1_funct_1 (k10_funct_6 esk2_0) esk5_0) esk4_0) = (k1_funct_1 (k1_funct_1 esk2_0 esk4_0) esk5_0) → False) → (∀X1, v1_subset_1 (esk37_1 X1) X1 → False) → (∀X1, v1_xboole_0 (k1_zfmisc_1 X1) → False) → (v3_funct_1 esk42_0 → False) → (v2_setfam_1 esk30_0 → False) → (v1_xboole_0 esk45_0 → False) → (v1_xboole_0 esk39_0 → False) → (v1_xboole_0 esk33_0 → False) → (v1_xboole_0 esk32_0 → False) → (v1_xboole_0 esk26_0 → False) → (v1_xboole_0 esk23_0 → False) → (v1_xboole_0 esk22_0 → False) → (v1_xboole_0 esk3_0 → False) → (v1_xboole_0 esk1_0 → False) → (∀X1, (m1_subset_1 (esk37_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk31_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk16_1 X1) X1 → False) → False) → (∀X1, (v1_partfun1 (esk40_1 X1) X1 → False) → False) → (∀X1, (v1_partfun1 (esk38_1 X1) X1 → False) → False) → (∀X1, (v1_partfun1 (esk35_1 X1) X1 → False) → False) → (∀X1, (v1_partfun1 (esk28_1 X1) X1 → False) → False) → (∀X1, (v1_partfun1 (esk21_1 X1) X1 → False) → False) → (∀X1, (v4_relat_1 (esk46_1 X1) X1 → False) → False) → (∀X1, (v4_relat_1 (esk40_1 X1) X1 → False) → False) → (∀X1, (v4_relat_1 (esk38_1 X1) X1 → False) → False) → (∀X1, (v4_relat_1 (esk35_1 X1) X1 → False) → False) → (∀X1, (v4_relat_1 (esk28_1 X1) X1 → False) → False) → (∀X1, (v4_relat_1 (esk21_1 X1) X1 → False) → False) → ((r2_hidden esk5_0 (k9_card_3 esk3_0) → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → ((m1_subset_1 esk4_0 esk1_0 → False) → False) → ((v1_partfun1 esk2_0 esk1_0 → False) → False) → ((v4_relat_1 esk2_0 esk1_0 → False) → False) → (∀X1, (v3_relat_1 (esk28_1 X1) → False) → False) → (∀X1, (v2_relat_1 (esk46_1 X1) → False) → False) → (∀X1, (v2_relat_1 (esk38_1 X1) → False) → False) → (∀X1, (v2_relat_1 (esk35_1 X1) → False) → False) → (∀X1, (v1_funcop_1 (esk40_1 X1) → False) → False) → (∀X1, (v1_funct_1 (esk46_1 X1) → False) → False) → (∀X1, (v1_funct_1 (esk40_1 X1) → False) → False) → (∀X1, (v1_funct_1 (esk38_1 X1) → False) → False) → (∀X1, (v1_funct_1 (esk35_1 X1) → False) → False) → (∀X1, (v1_funct_1 (esk28_1 X1) → False) → False) → (∀X1, (v1_funct_1 (