Theorem. (
t39_funct_6)
∀k7_funct_6 : set → set, ∀esk17_2 : set → set → set, ∀k1_binop_1 : set → set → set → set, ∀k2_funct_5 : set → set, ∀esk18_3 : set → set → set → set, ∀k10_xtuple_0 : set → set, ∀k1_funct_6 : set → set, ∀k8_relat_1 : set → set → set, ∀k2_funct_6 : set → set, ∀esk15_3 : set → set → set → set, ∀esk42_4 : set → set → set → set → set, ∀esk10_3 : set → set → set → set, ∀esk4_2 : set → set → set, ∀k1_tarski : set → set, ∀k2_tarski : set → set → set, ∀esk14_2 : set → set → set, ∀esk5_3 : set → set → set → set, ∀esk43_2 : set → set → set, ∀k3_funct_6 : set → set, ∀esk9_1 : set → set, ∀esk8_1 : set → set, ∀esk1_0 : set, ∀v1_finset_1 : set → prop, ∀v3_relat_1 : set → prop, ∀k1_xboole_0 : set, ∀esk2_0 : set, ∀v2_funcop_1 : set → prop, ∀v1_ordinal1 : set → prop, ∀v2_ordinal1 : set → prop, ∀v6_ordinal1 : set → prop, ∀v7_ordinal1 : set → prop, ∀esk36_0 : set, ∀esk39_0 : set, ∀esk37_0 : set, ∀esk32_0 : set, ∀esk29_0 : set, ∀esk24_0 : set, ∀esk19_1 : set → set, ∀esk26_0 : set, ∀esk35_0 : set, ∀esk30_0 : set, ∀esk21_0 : set, ∀esk23_0 : set, ∀esk25_0 : set, ∀esk22_0 : set, ∀esk28_0 : set, ∀o_0_0_xboole_0 : set, ∀esk33_0 : set, ∀v1_xtuple_0 : set → prop, ∀esk20_0 : set, ∀esk27_0 : set, ∀esk31_0 : set, ∀esk34_0 : set, ∀esk38_0 : set, ∀esk40_0 : set, ∀v5_ordinal1 : set → prop, ∀v1_setfam_1 : set → prop, ∀v3_ordinal1 : set → prop, ∀v1_zfmisc_1 : set → prop, ∀v3_funct_1 : set → prop, ∀v5_finset_1 : set → prop, ∀v1_funcop_1 : set → prop, ∀v2_finset_1 : set → prop, ∀o_1_2_funct_6 : set → set, ∀v4_funct_1 : set → prop, ∀v2_relat_1 : set → prop, ∀m1_subset_1 : set → set → prop, ∀v1_xboole_0 : set → prop, ∀esk7_2 : set → set → set, ∀v2_funct_1 : set → prop, ∀esk6_2 : set → set → set, ∀esk3_2 : set → set → set, ∀esk41_4 : set → set → set → set → set, ∀esk16_3 : set → set → set → set, ∀esk12_2 : set → set → set, ∀esk13_3 : set → set → set → set, ∀k9_xtuple_0 : set → set, ∀esk11_4 : set → set → set → set → set, ∀k1_funct_1 : set → set → set, ∀v1_funct_1 : set → prop, ∀v1_relat_1 : set → prop, ∀k4_card_3 : set → set, ∀r2_hidden : set → set → prop, (∀X1 X2 X4 X3, (r2_hidden X4 X3 → False) → X1 = X4 → X3 = (k4_card_3 X2) → (k9_xtuple_0 X1) = (k9_xtuple_0 X2) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → r2_hidden (k1_funct_1 X1 (esk11_4 X2 X3 X4 X1)) (k1_funct_1 X2 (esk11_4 X2 X3 X4 X1)) → False) → (∀X1 X3 X2, (X3 = (k7_funct_6 X2) → False) → (k9_xtuple_0 X3) = (k4_card_3 (k2_funct_6 X2)) → (k1_funct_1 X3 (esk17_2 X2 X3)) = X1 → (k9_xtuple_0 X1) = (k8_relat_1 X2 (k1_funct_6 (k10_xtuple_0 X2))) → (k1_binop_1 (k2_funct_5 X2) (esk18_3 X2 X3 X1) (k1_funct_1 (esk17_2 X2 X3) (esk18_3 X2 X3 X1))) = (k1_funct_1 X1 (esk18_3 X2 X3 X1)) → v1_relat_1 X3 → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X1 X3 X2, (X3 = (k4_card_3 X2) → False) → (esk12_2 X2 X3) = X1 → (k9_xtuple_0 X1) = (k9_xtuple_0 X2) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → r2_hidden (esk12_2 X2 X3) X3 → r2_hidden (k1_funct_1 X1 (esk13_3 X2 X3 X1)) (k1_funct_1 X2 (esk13_3 X2 X3 X1)) → False) → (∀X2 X3 X1, (X3 = (k8_relat_1 X1 X2) → False) → v1_relat_1 X1 → v1_funct_1 X1 → r2_hidden (esk15_3 X1 X2 X3) X3 → r2_hidden (esk15_3 X1 X2 X3) (k9_xtuple_0 X1) → r2_hidden (k1_funct_1 X1 (esk15_3 X1 X2 X3)) X2 → False) → (∀X4 X1 X3 X2, ((k1_funct_1 (esk16_3 X2 X3 X4) X1) = (k1_binop_1 (k2_funct_5 X2) X1 (k1_funct_1 X4 X1)) → False) → X3 = (k7_funct_6 X2) → v1_relat_1 X4 → v1_relat_1 X3 → v1_relat_1 X2 → v1_funct_1 X4 → v1_funct_1 X3 → v1_funct_1 X2 → r2_hidden X4 (k4_card_3 (k2_funct_6 X2)) → r2_hidden X1 (k9_xtuple_0 (esk16_3 X2 X3 X4)) → False) → (∀X4 X3 X5 X1 X2, (X1 = X2 → False) → ((k1_funct_1 (esk42_4 X3 X4 X2 X5) X1) = (k1_funct_1 X4 X1) → False) → v1_relat_1 X4 → v1_relat_1 X3 → v1_funct_1 X4 → v1_funct_1 X3 → r2_hidden X1 (k8_relat_1 X3 (k1_funct_6 (k10_xtuple_0 X3))) → False) → (∀X4 X3 X5 X1 X2, (X1 = X2 → False) → ((k1_funct_1 (esk41_4 X3 X4 X2 X5) X1) = (k1_funct_1 X4 X1) → False) → v1_relat_1 X4 → v1_relat_1 X3 → v1_funct_1 X4 → v1_funct_1 X3 → r2_hidden X1 (k8_relat_1 X3 (k1_funct_6 (k10_xtuple_0 X3))) → False) → (∀X5 X4 X3 X1 X2, ((k1_funct_1 (esk42_4 X3 X4 X2 X5) X1) = X5 → False) → X1 = X2 → v1_relat_1 X4 → v1_relat_1 X3 → v1_funct_1 X4 → v1_funct_1 X3 → r2_hidden X1 (k8_relat_1 X3 (k1_funct_6 (k10_xtuple_0 X3))) → False) → (∀X5 X4 X3 X1 X2, ((k1_funct_1 (esk41_4 X3 X4 X2 X5) X1) = X5 → False) → X1 = X2 → v1_relat_1 X4 → v1_relat_1 X3 → v1_funct_1 X4 → v1_funct_1 X3 → r2_hidden X1 (k8_relat_1 X3 (k1_funct_6 (k10_xtuple_0 X3))) → False) → (∀X4 X1 X3 X2, (r2_hidden X3 X2 → False) → (r2_hidden (esk11_4 X1 X2 X3 X4) (k9_xtuple_0 X1) → False) → X3 = X4 → X2 = (k4_card_3 X1) → (k9_xtuple_0 X1) = (k9_xtuple_0 X4) → v1_relat_1 X4 → v1_relat_1 X1 → v1_funct_1 X4 → v1_funct_1 X1 → False) → (∀X4 X3 X1 X2, ((k9_xtuple_0 (esk42_4 X1 X2 X3 X4)) = (k8_relat_1 X1 (k1_funct_6 (k10_xtuple_0 X1))) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X4 X3 X1 X2, ((k9_xtuple_0 (esk41_4 X1 X2 X3 X4)) = (k8_relat_1 X1 (k1_funct_6 (k10_xtuple_0 X1))) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X3 X4 X1 X2, (v1_funct_1 (esk42_4 X1 X2 X3 X4) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X3 X4 X1 X2, (v1_funct_1 (esk41_4 X1 X2 X3 X4) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X3 X4 X1 X2, (v1_relat_1 (esk42_4 X1 X2 X3 X4) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X3 X4 X1 X2, (v1_relat_1 (esk41_4 X1 X2 X3 X4) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X2 X3 X1, (X3 = (k8_relat_1 X1 X2) → False) → (r2_hidden (esk15_3 X1 X2 X3) X3 → False) → (r2_hidden (k1_funct_1 X1 (esk15_3 X1 X2 X3)) X2 → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1 X4 X3 X2, (r2_hidden (k1_funct_1 (esk10_3 X2 X3 X4) X1) (k1_funct_1 X2 X1) → False) → X3 = (k4_card_3 X2) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X4 X3 → r2_hidden X1 (k9_xtuple_0 X2) → False) → (∀X3 X2 X1, (X2 = (k7_funct_6 X1) → False) → (r2_hidden (esk18_3 X1 X2 X3) (k9_xtuple_0 X3) → False) → (k9_xtuple_0 X2) = (k4_card_3 (k2_funct_6 X1)) → (k1_funct_1 X2 (esk17_2 X1 X2)) = X3 → (k9_xtuple_0 X3) = (k8_relat_1 X1 (k1_funct_6 (k10_xtuple_0 X1))) → v1_relat_1 X3 → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X1 X2, (X1 = (k2_funct_6 X2) → False) → (k9_xtuple_0 X1) = (k8_relat_1 X2 (k1_funct_6 (k10_xtuple_0 X2))) → (k1_funct_1 X1 (esk4_2 X2 X1)) = (k9_xtuple_0 (k1_funct_1 X2 (esk4_2 X2 X1))) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X3 X2 X1, (X3 = (k8_relat_1 X1 X2) → False) → (r2_hidden (esk15_3 X1 X2 X3) X3 → False) → (r2_hidden (esk15_3 X1 X2 X3) (k9_xtuple_0 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X3 X2 X1, (X2 = (k4_card_3 X1) → False) → (r2_hidden (esk13_3 X1 X2 X3) (k9_xtuple_0 X1) → False) → (esk12_2 X1 X2) = X3 → (k9_xtuple_0 X1) = (k9_xtuple_0 X3) → v1_relat_1 X3 → v1_relat_1 X1 → v1_funct_1 X3 → v1_funct_1 X1 → r2_hidden (esk12_2 X1 X2) X2 → False) → (∀X3 X2 X1, ((k9_xtuple_0 (esk16_3 X1 X2 X3)) = (k8_relat_1 X1 (k1_funct_6 (k10_xtuple_0 X1))) → False) → X2 = (k7_funct_6 X1) → v1_relat_1 X3 → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_1 X1 → r2_hidden X3 (k4_card_3 (k2_funct_6 X1)) → False) → (∀X4 X1 X2 X3, (r2_hidden (k2_tarski (k2_tarski X1 X2) (k1_tarski X1)) (k9_xtuple_0 (k2_funct_5 X3)) → False) → X4 = (k1_funct_1 X3 X1) → v1_relat_1 X4 → v1_relat_1 X3 → v1_funct_1 X4 → v1_funct_1 X3 → r2_hidden X2 (k9_xtuple_0 X4) → r2_hidden X1 (k9_xtuple_0 X3) → False) → (∀X1 X2, (X2 = (k1_funct_6 X1) → False) → v1_relat_1 (esk3_2 X1 X2) → v1_funct_1 (esk3_2 X1 X2) → r2_hidden (esk3_2 X1 X2) X2 → r2_hidden (esk3_2 X1 X2) X1 → False) → (∀X3 X2 X1, (v1_funct_1 (esk16_3 X1 X2 X3) → False) → X2 = (k7_funct_6 X1) → v1_relat_1 X3 → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_1 X1 → r2_hidden X3 (k4_card_3 (k2_funct_6 X1)) → False) → (∀X3 X2 X1, (v1_relat_1 (esk16_3 X1 X2 X3) → False) → X2 = (k7_funct_6 X1) → v1_relat_1 X3 → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_1 X1 → r2_hidden X3 (k4_card_3 (k2_funct_6 X1)) → False) → (∀X1 X3 X2, (X3 = (k4_card_3 X2) → False) → (r2_hidden (esk12_2 X2 X3) X3 → False) → (r2_hidden (k1_funct_1 (esk14_2 X2 X3) X1) (k1_funct_1 X2 X1) → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 (k9_xtuple_0 X2) → False) → (∀X1 X3 X2, ((k1_funct_1 X3 X1) = (k9_xtuple_0 (k1_funct_1 X2 X1)) → False) → X3 = (k2_funct_6 X2) → v1_relat_1 X3 → v1_relat_1 X2 → v1_funct_1 X3 → v1_funct_1 X2 → r2_hidden X1 (k8_relat_1 X2 (k1_funct_6 (k10_xtuple_0 X2))) → False) → (∀X1 X2, (X2 = (k2_funct_6 X1) → False) → (r2_hidden (esk4_2 X1 X2) (k8_relat_1 X1 (k1_funct_6 (k10_xtuple_0 X1))) → False) → (k9_xtuple_0 X2) = (k8_relat_1 X1 (k1_funct_6 (k10_xtuple_0 X1))) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X3 X1 X2 X4, ((k1_binop_1 (k2_funct_5 X1) X2 X3) = (k1_funct_1 X4 X3) → False) → X4 = (k1_funct_1 X1 X2) → v1_relat_1 X4 → v1_relat_1 X1 → v1_funct_1 X4 → v1_funct_1 X1 → r2_hidden X3 (k9_xtuple_0 X4) → r2_hidden X2 (k9_xtuple_0 X1) → False) → (∀X4 X2 X1 X3, (r2_hidden (k1_funct_1 X1 X2) (k10_xtuple_0 (k2_funct_5 X3)) → False) → X1 = (k1_funct_1 X3 X4) → v1_relat_1 X3 → v1_relat_1 X1 → v1_funct_1 X3 → v1_funct_1 X1 → r2_hidden X4 (k9_xtuple_0 X3) → r2_hidden X2 (k9_xtuple_0 X1) → False) → (∀X3 X2 X1, ((k1_funct_1 X1 (k2_tarski (k2_tarski X2 X3) (k1_tarski X2))) = (k1_binop_1 X1 X2 X3) → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X3 X2 X1, (r2_hidden (esk5_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) → (∀X2 X1 X3, ((esk16_3 X3 X1 X2) = (k1_funct_1 X1 X2) → False) → X1 = (k7_funct_6 X3) → v1_relat_1 X3 → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_1 X1 → r2_hidden X2 (k4_card_3 (k2_funct_6 X3)) → False) → (∀X1 X2, (X1 = X2 → False) → (k9_xtuple_0 X1) = (k9_xtuple_0 X2) → (k1_funct_1 X1 (esk43_2 X1 X2)) = (k1_funct_1 X2 (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X1 X3 X2, ((k1_funct_1 X2 (esk5_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, ((k9_xtuple_0 (esk10_3 X1 X2 X3)) = (k9_xtuple_0 X1) → False) → X2 = (k4_card_3 X1) → v1_relat_1 X1 → v1_funct_1 X1 → r2_hidden X3 X2 → False) → (∀X3 X2 X1, (X2 = (k10_xtuple_0 X1) → False) → (esk6_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 (esk6_2 X1 X2) X2 → False) → (∀X3 X2 X1, (v1_funct_1 (esk10_3 X1 X2 X3) → False) → X2 = (k4_card_3 X1) → v1_relat_1 X1 → v1_funct_1 X1 → r2_hidden X3 X2 → False) → (∀X3 X2 X1, (v1_relat_1 (esk10_3 X1 X2 X3) → False) → X2 = (k4_card_3 X1) → v1_relat_1 X1 → v1_funct_1 X1 → r2_hidden X3 X2 → False) → (∀X2 X3 X1 X4, (r2_hidden X1 X4 → False) → X4 = (k8_relat_1 X2 X3) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 (k9_xtuple_0 X2) → r2_hidden (k1_funct_1 X2 X1) X3 → False) → (∀X1 X2 X3, (X2 = X3 → False) → (k1_funct_1 X1 X2) = (k1_funct_1 X1 X3) → v1_relat_1 X1 → v1_funct_1 X1 → v2_funct_1 X1 → r2_hidden X3 (k9_xtuple_0 X1) → r2_hidden X2 (k9_xtuple_0 X1) → False) → (∀X3 X1 X2, (r2_hidden X1 (k9_xtuple_0 (k3_funct_6 X2)) → False) → X3 = (k1_funct_1 X2 X1) → v1_relat_1 X3 → v1_relat_1 X2 → v1_funct_1 X3 → v1_funct_1 X2 → r2_hidden X1 (k9_xtuple_0 X2) → False) → (∀X3 X1 X2, (r2_hidden X1 (k9_xtuple_0 (k2_funct_6 X2)) → False) → X3 = (k1_funct_1 X2 X1) → v1_relat_1 X3 → v1_relat_1 X2 → v1_funct_1 X3 → v1_funct_1 X2 → r2_hidden X1 (k9_xtuple_0 X2) → False) → (∀X1 X2, (X2 = (k7_funct_6 X1) → False) → (r2_hidden (esk17_2 X1 X2) (k4_card_3 (k2_funct_6 X1)) → False) → (k9_xtuple_0 X2) = (k4_card_3 (k2_funct_6 X1)) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X2 X1, (X2 = (k10_xtuple_0 X1) → False) → ((k1_funct_1 X1 (esk7_2 X1 X2)) = (esk6_2 X1 X2) → False) → (r2_hidden (esk6_2 X1 X2) X2 → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1 X2 X3, ((k1_funct_1 (k3_funct_6 X1) X2) = (k10_xtuple_0 X3) → False) → X3 = (k1_funct_1 X1 X2) → v1_relat_1 X3 → v1_relat_1 X1 → v1_funct_1 X3 → v1_funct_1 X1 → r2_hidden X2 (k9_xtuple_0 X1) → False) → (∀X1 X2 X3, ((k1_funct_1 (k2_funct_6 X1) X2) = (k9_xtuple_0 X3) → False) → X3 = (k1_funct_1 X1 X2) → v1_relat_1 X3 → v1_relat_1 X1 → v1_funct_1 X3 → v1_funct_1 X1 → r2_hidden X2 (k9_xtuple_0 X1) → False) → (∀X2 X1, (X2 = (k10_xtuple_0 X1) → False) → (r2_hidden (esk6_2 X1 X2) X2 → False) → (r2_hidden (esk7_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) → (∀X4 X2 X1 X3, (r2_hidden (k1_funct_1 X1 X2) X3 → False) → X4 = (k8_relat_1 X1 X3) → v1_relat_1 X1 → v1_funct_1 X1 → r2_hidden X2 X4 → False) → (∀X1 X3 X2, ((esk10_3 X2 X3 X1) = X1 → False) → X3 = (k4_card_3 X2) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 X3 → False) → (∀X2 X1, (X2 = (k4_card_3 X1) → False) → ((k9_xtuple_0 (esk14_2 X1 X2)) = (k9_xtuple_0 X1) → False) → (r2_hidden (esk12_2 X1 X2) X2 → False) → v1_relat_1 X1 → v1_funct_1 X1 → 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, (X1 = X2 → False) → (r2_hidden (esk43_2 X1 X2) (k9_xtuple_0 X1) → False) → (k9_xtuple_0 X1) = (k9_xtuple_0 X2) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X2 X1, (X2 = (k4_card_3 X1) → False) → (v1_funct_1 (esk14_2 X1 X2) → False) → (r2_hidden (esk12_2 X1 X2) X2 → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X2 X1, (X2 = (k4_card_3 X1) → False) → (v1_relat_1 (esk14_2 X1 X2) → False) → (r2_hidden (esk12_2 X1 X2) X2 → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X2 X1, (X2 = (k4_card_3 X1) → False) → ((esk12_2 X1 X2) = (esk14_2 X1 X2) → False) → (r2_hidden (esk12_2 X1 X2) X2 → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1 X2, (X2 = (k7_funct_6 X1) → False) → (v1_funct_1 (esk17_2 X1 X2) → False) → (k9_xtuple_0 X2) = (k4_card_3 (k2_funct_6 X1)) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X1 X2, (X2 = (k7_funct_6 X1) → False) → (v1_relat_1 (esk17_2 X1 X2) → False) → (k9_xtuple_0 X2) = (k4_card_3 (k2_funct_6 X1)) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X1 X2, (X2 = (k1_funct_6 X1) → False) → (r2_hidden (esk3_2 X1 X2) X2 → False) → (r2_hidden (esk3_2 X1 X2) X1 → False) → False) → (∀X3 X4 X1 X2, (r2_hidden X1 (k9_xtuple_0 X2) → False) → X3 = (k8_relat_1 X2 X4) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 X3 → False) → (∀X2 X1, (X2 = (k1_funct_6 X1) → False) → (v1_funct_1 (esk3_2 X1 X2) → False) → (r2_hidden (esk3_2 X1 X2) X2 → False) → False) → (∀X2 X1, (X2 = (k1_funct_6 X1) → False) → (v1_relat_1 (esk3_2 X1 X2) → False) → (r2_hidden (esk3_2 X1 X2) X2 → False) → False) → (∀X1 X2, ((k9_xtuple_0 X1) = (k8_relat_1 X2 (k1_funct_6 (k10_xtuple_0 X2))) → False) → X1 = (k2_funct_6 X2) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X2 X1 X3, (r2_hidden X1 X3 → False) → X3 = (k1_funct_6 X2) → v1_relat_1 X1 → v1_funct_1 X1 → r2_hidden X1 X2 → False) → (∀X1, ((k1_funct_1 X1 (esk9_1 X1)) = (k1_funct_1 X1 (esk8_1 X1)) → False) → (v2_funct_1 X1 → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1 X2, (v4_funct_1 (k2_tarski X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X1, (v2_funct_1 X1 → False) → (v2_funct_1 (k7_funct_6 esk1_0) → False) → v1_relat_1 X1 → v1_funct_1 X1 → r2_hidden X1 (k10_xtuple_0 esk1_0) → False) → (∀X1, (m1_subset_1 (o_1_2_funct_6 X1) (k4_card_3 (k2_funct_6 X1)) → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X2 X1, (v1_finset_1 (k8_relat_1 X1 X2) → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_finset_1 X1 → 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_xboole_0 (k1_funct_1 X1 X2) → False) → v1_relat_1 X1 → v1_funct_1 X1 → v3_relat_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, ((k9_xtuple_0 X1) = (k4_card_3 (k2_funct_6 X2)) → False) → X1 = (k7_funct_6 X2) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X1, ((k4_card_3 X1) = k1_xboole_0 → False) → v1_relat_1 X1 → v1_funct_1 X1 → r2_hidden k1_xboole_0 (k10_xtuple_0 X1) → False) → (∀X1, (v2_funct_1 X1 → False) → (r2_hidden (esk9_1 X1) (k9_xtuple_0 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v2_funct_1 X1 → False) → (r2_hidden (esk8_1 X1) (k9_xtuple_0 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X3 X1 X2, (r2_hidden X1 X2 → False) → X3 = (k1_funct_6 X2) → r2_hidden X1 X3 → False) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden X1 X2 → False) → (∀X2 X1, (v5_finset_1 (k2_tarski X1 X2) → False) → v1_finset_1 X2 → v1_finset_1 X1 → False) → (∀X2 X1, (v1_xboole_0 (k8_relat_1 X1 X2) → False) → v1_relat_1 X1 → v1_xboole_0 X1 → False) → (∀X1 X2, (v1_xboole_0 (k8_relat_1 X1 X2) → False) → v1_relat_1 X1 → v1_xboole_0 X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X1, (r2_hidden k1_xboole_0 (k10_xtuple_0 X1) → False) → (k4_card_3 X1) = k1_xboole_0 → v1_relat_1 X1 → v1_funct_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) → (∀X2 X3 X1, (v1_funct_1 X1 → False) → X2 = (k1_funct_6 X3) → r2_hidden X1 X2 → False) → (∀X2 X3 X1, (v1_relat_1 X1 → False) → X2 = (k1_funct_6 X3) → r2_hidden X1 X2 → False) → (∀X1 X2, (v3_ordinal1 X2 → False) → v3_ordinal1 X1 → m1_subset_1 X2 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_setfam_1 (k10_xtuple_0 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → v2_relat_1 X1 → False) → (∀X1, (v1_zfmisc_1 (k10_xtuple_0 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → v3_funct_1 X1 → False) → (∀X1, (v3_ordinal1 (k9_xtuple_0 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → v5_ordinal1 X1 → False) → (∀X1, (v2_funct_1 X1 → False) → (esk9_1 X1) = (esk8_1 X1) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → 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) → ((r2_hidden esk2_0 (k10_xtuple_0 esk1_0) → False) → v2_funct_1 (k7_funct_6 esk1_0) → 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_relat_1 X1 → v1_funct_1 X1 → v1_xboole_0 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_relat_1 X1 → v1_funct_1 X1 → v1_xboole_0 X1 → False) → (∀X1, (v2_funct_1 X1 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_xboole_0 X1 → False) → (∀X1, (v4_funct_1 (k1_tarski X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v5_finset_1 (k10_xtuple_0 X1) → False) → v1_relat_1 X1 → v2_finset_1 X1 → 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_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_funct_1 (k3_funct_6 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v1_funct_1 (k2_funct_5 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v1_funct_1 (k2_funct_6 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v1_funct_1 (k7_funct_6 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v1_relat_1 (k3_funct_6 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v1_relat_1 (k2_funct_5 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v1_relat_1 (k2_funct_6 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v1_relat_1 (k7_funct_6 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v2_finset_1 X1 → False) → v1_relat_1 X1 → v1_xboole_0 X1 → False) → (∀X1, (v2_relat_1 X1 → False) → v1_relat_1 X1 → v1_xboole_0 X1 → False) → (∀X1, (v3_relat_1 X1 → False) → v1_relat_1 X1 → v1_xboole_0 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_ordinal1 X1 → v2_ordinal1 X1 → False) → (∀X1, (v5_finset_1 (k1_tarski X1) → False) → v1_finset_1 X1 → False) → (∀X1, (v1_xboole_0 (k9_xtuple_0 X1) → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_xboole_0 (k9_xtuple_0 X1) → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_xboole_0 (k10_xtuple_0 X1) → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_xboole_0 (k10_xtuple_0 X1) → False) → v1_xboole_0 X1 → False) → (v2_funct_1 esk2_0 → v2_funct_1 (k7_funct_6 esk1_0) → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 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) → ((v1_funct_1 esk2_0 → False) → v2_funct_1 (k7_funct_6 esk1_0) → False) → ((v1_relat_1 esk2_0 → False) → v2_funct_1 (k7_funct_6 esk1_0) → False) → (∀X1, (v6_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v4_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v7_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v5_finset_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v5_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v2_ordinal1 X1 → False) → v3_ordinal1 X1 → False) → (∀X1, (v1_ordinal1 X1 → False) → v3_ordinal1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v3_ordinal1 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, (v1_relat_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (∀X1 X2, v1_xboole_0 (k2_tarski X1 X2) → False) → (r2_hidden k1_xboole_0 (k10_xtuple_0 esk1_0) → False) → (∀X1, v1_xboole_0 (k1_tarski X1) → False) → (v3_funct_1 esk36_0 → False) → (v1_xboole_0 esk40_0 → False) → (v1_xboole_0 esk39_0 → False) → (v1_xboole_0 esk38_0 → False) → (v1_xboole_0 esk37_0 → False) → (v1_xboole_0 esk34_0 → False) → (