Theorem. (
t12_card_1)
∀k1_xboole_0 : set, ∀esk44_2 : set → set → set, ∀k10_xtuple_0 : set → set, ∀esk43_2 : set → set → set, ∀k2_funct_1 : set → set, ∀esk40_2 : set → set → set, ∀esk42_2 : set → set → set, ∀esk5_3 : set → set → set → set, ∀esk6_2 : set → set → set, ∀k3_relat_1 : set → set → set, ∀r1_ordinal1 : set → set → prop, ∀k1_card_1 : set → set, ∀esk46_2 : set → set → set, ∀r1_tarski : set → set → prop, ∀esk45_2 : set → set → set, ∀k1_tarski : set → set, ∀esk2_0 : set, ∀esk1_0 : set, ∀m1_subset_1 : set → set → prop, ∀k1_zfmisc_1 : set → set, ∀v1_finset_1 : set → prop, ∀v2_finset_1 : set → prop, ∀v5_finset_1 : set → prop, ∀v6_ordinal1 : set → prop, ∀v3_funct_1 : set → prop, ∀esk36_1 : set → set, ∀esk34_1 : set → set, ∀esk21_1 : set → set, ∀v1_ordinal1 : set → prop, ∀v2_ordinal1 : set → prop, ∀esk29_1 : set → set, ∀esk27_0 : set, ∀esk38_0 : set, ∀esk33_0 : set, ∀esk26_0 : set, ∀esk22_0 : set, ∀esk14_0 : set, ∀esk12_1 : set → set, ∀esk30_0 : set, ∀esk15_0 : set, ∀o_0_0_xboole_0 : set, ∀esk13_0 : set, ∀esk16_0 : set, ∀esk17_0 : set, ∀esk19_0 : set, ∀esk23_0 : set, ∀esk25_1 : set → set, ∀esk20_0 : set, ∀esk24_0 : set, ∀esk28_0 : set, ∀esk37_0 : set, ∀esk39_0 : set, ∀esk32_0 : set, ∀v7_ordinal1 : set → prop, ∀v1_card_1 : set → prop, ∀v2_funcop_1 : set → prop, ∀esk18_1 : set → set, ∀esk31_1 : set → set, ∀esk35_1 : set → set, ∀v5_ordinal1 : set → prop, ∀esk3_0 : set, ∀v1_zfmisc_1 : set → prop, ∀v4_funct_1 : set → prop, ∀v3_ordinal1 : set → prop, ∀esk9_1 : set → set, ∀esk10_1 : set → set, ∀v1_subset_1 : set → set → prop, ∀v1_xboole_0 : set → prop, ∀v1_funcop_1 : set → prop, ∀esk8_2 : set → set → set, ∀esk4_2 : set → set → set, ∀esk48_1 : set → set, ∀esk47_1 : set → set, ∀esk7_2 : set → set → set, ∀v2_funct_1 : set → prop, ∀esk41_2 : set → set → set, ∀v1_relat_1 : set → prop, ∀esk11_3 : set → set → set → set, ∀r2_hidden : set → set → prop, ∀k9_xtuple_0 : set → set, ∀k1_funct_1 : set → set → set, ∀v1_funct_1 : set → prop, ∀k8_relat_1 : set → set → set, (∀X2 X3 X1, (X3 = (k8_relat_1 X1 X2) → False) → v1_relat_1 X1 → v1_funct_1 X1 → r2_hidden (esk11_3 X1 X2 X3) X3 → r2_hidden (esk11_3 X1 X2 X3) (k9_xtuple_0 X1) → r2_hidden (k1_funct_1 X1 (esk11_3 X1 X2 X3)) X2 → False) → (∀X4 X3 X1 X2, ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = (k1_funct_1 (k2_funct_1 X2) X3) → False) → X4 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X4 X3 X1 X2, ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = (k1_funct_1 (k2_funct_1 X2) X3) → False) → X4 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X1 X4 X2 X3, ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X3 X2)) = (esk42_2 X3 X2) → False) → ((k1_funct_1 (esk44_2 X3 X2) X1) = (k1_funct_1 (k2_funct_1 X2) X1) → False) → X4 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X3 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 X3 → r2_hidden X1 (k10_xtuple_0 X2) → r2_hidden (esk40_2 X3 X2) (k10_xtuple_0 X2) → r2_hidden (esk43_2 X3 X2) (k10_xtuple_0 X2) → False) → (∀X1 X4 X2 X3, ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X3 X2)) = (esk41_2 X3 X2) → False) → ((k1_funct_1 (esk44_2 X3 X2) X1) = (k1_funct_1 (k2_funct_1 X2) X1) → False) → X4 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X3 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 X3 → r2_hidden X1 (k10_xtuple_0 X2) → r2_hidden (esk40_2 X3 X2) (k10_xtuple_0 X2) → r2_hidden (esk43_2 X3 X2) (k10_xtuple_0 X2) → False) → (∀X2 X3 X1, (X3 = (k8_relat_1 X1 X2) → False) → (r2_hidden (esk11_3 X1 X2 X3) X3 → False) → (r2_hidden (k1_funct_1 X1 (esk11_3 X1 X2 X3)) X2 → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X4 X3 X1 X2, ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → (r2_hidden X3 (k10_xtuple_0 X2) → False) → X4 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X4 X3 X1 X2, ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → (r2_hidden X3 (k10_xtuple_0 X2) → False) → X4 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X4 X2 X1, ((esk42_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = (k1_funct_1 (k2_funct_1 X2) X3) → False) → X4 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X4 X2 X1, ((esk41_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = (k1_funct_1 (k2_funct_1 X2) X3) → False) → X4 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X4 X1 X2 X3, ((esk42_2 X3 X2) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X3 X2)) = (esk42_2 X3 X2) → False) → ((k1_funct_1 (esk44_2 X3 X2) X1) = (k1_funct_1 (k2_funct_1 X2) X1) → False) → X4 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X3 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 X3 → r2_hidden X1 (k10_xtuple_0 X2) → r2_hidden (esk43_2 X3 X2) (k10_xtuple_0 X2) → False) → (∀X4 X1 X2 X3, ((esk41_2 X3 X2) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X3 X2)) = (esk41_2 X3 X2) → False) → ((k1_funct_1 (esk44_2 X3 X2) X1) = (k1_funct_1 (k2_funct_1 X2) X1) → False) → X4 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X3 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 X3 → r2_hidden X1 (k10_xtuple_0 X2) → r2_hidden (esk43_2 X3 X2) (k10_xtuple_0 X2) → False) → (∀X3 X4 X2 X1, ((esk42_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = (k1_funct_1 (k2_funct_1 X2) X3) → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → X4 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X4 X2 X1, ((esk41_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = (k1_funct_1 (k2_funct_1 X2) X3) → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → X4 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X1 X4 X2 X3, ((esk42_2 X3 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X3 X2) X1) = (k1_funct_1 (k2_funct_1 X2) X1) → False) → (r2_hidden (esk40_2 X3 X2) (k10_xtuple_0 X2) → False) → X4 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X3 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 X3 → r2_hidden X1 (k10_xtuple_0 X2) → r2_hidden (esk43_2 X3 X2) (k10_xtuple_0 X2) → False) → (∀X1 X4 X2 X3, ((esk41_2 X3 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X3 X2) X1) = (k1_funct_1 (k2_funct_1 X2) X1) → False) → (r2_hidden (esk40_2 X3 X2) (k10_xtuple_0 X2) → False) → X4 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X3 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 X3 → r2_hidden X1 (k10_xtuple_0 X2) → r2_hidden (esk43_2 X3 X2) (k10_xtuple_0 X2) → False) → (∀X4 X3 X1 X2, ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = (k1_funct_1 (k2_funct_1 X2) X3) → False) → (esk42_2 X1 X2) = (esk41_2 X1 X2) → X4 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((k9_xtuple_0 (esk44_2 X1 X2)) = X1 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → X3 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((k9_xtuple_0 (esk44_2 X1 X2)) = X1 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → X3 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X4 X3 X1 X2, ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = (k1_funct_1 (k2_funct_1 X2) X3) → False) → (r2_hidden (esk40_2 X1 X2) X1 → False) → X4 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → (v1_funct_1 (esk44_2 X1 X2) → False) → X3 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → (v1_relat_1 (esk44_2 X1 X2) → False) → X3 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → (v1_funct_1 (esk44_2 X1 X2) → False) → X3 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → (v1_relat_1 (esk44_2 X1 X2) → False) → X3 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X4 X3 X1 X2, ((k1_funct_1 (esk44_2 X3 X2) X1) = (k1_funct_1 (k2_funct_1 X2) X1) → False) → (esk42_2 X3 X2) = (esk41_2 X3 X2) → X4 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X3 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 X3 → r2_hidden X1 (k10_xtuple_0 X2) → r2_hidden (esk43_2 X3 X2) (k10_xtuple_0 X2) → False) → (∀X3 X4 X2 X1, ((esk42_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → (r2_hidden X3 (k10_xtuple_0 X2) → False) → X4 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X4 X2 X1, ((esk41_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → (r2_hidden X3 (k10_xtuple_0 X2) → False) → X4 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X4 X3 X1 X2, ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = (k1_funct_1 (k2_funct_1 X2) X3) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X4 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X4 X3 X1 X2, ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = (k1_funct_1 (k2_funct_1 X2) X3) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X4 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X4 X3 X1 X2, ((k1_funct_1 (esk44_2 X3 X2) X1) = (k1_funct_1 (k2_funct_1 X2) X1) → False) → (r2_hidden (esk40_2 X3 X2) X3 → False) → X4 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X3 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 X3 → r2_hidden X1 (k10_xtuple_0 X2) → r2_hidden (esk43_2 X3 X2) (k10_xtuple_0 X2) → False) → (∀X1 X4 X2 X3, ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X3 X2)) = (esk42_2 X3 X2) → False) → ((k1_funct_1 (esk44_2 X3 X2) X1) = (k1_funct_1 (k2_funct_1 X2) X1) → False) → (r2_hidden (esk43_2 X3 X2) (k10_xtuple_0 X2) → False) → X4 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 X3 → r2_hidden X1 (k10_xtuple_0 X2) → r2_hidden (esk40_2 X3 X2) (k10_xtuple_0 X2) → False) → (∀X1 X4 X2 X3, ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X3 X2)) = (esk41_2 X3 X2) → False) → ((k1_funct_1 (esk44_2 X3 X2) X1) = (k1_funct_1 (k2_funct_1 X2) X1) → False) → (r2_hidden (esk43_2 X3 X2) (k10_xtuple_0 X2) → False) → X4 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 X3 → r2_hidden X1 (k10_xtuple_0 X2) → r2_hidden (esk40_2 X3 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = (k1_funct_1 (k2_funct_1 X2) X3) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = (k1_funct_1 (k2_funct_1 X2) X3) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X4 X2 X1, ((esk42_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → (r2_hidden X3 (k10_xtuple_0 X2) → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → X4 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X4 X2 X1, ((esk41_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → (r2_hidden X3 (k10_xtuple_0 X2) → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → X4 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X1 X2 X3, ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X3 X2)) = (esk42_2 X3 X2) → False) → ((k1_funct_1 (esk44_2 X3 X2) X1) = (k1_funct_1 (k2_funct_1 X2) X1) → False) → (r2_hidden (esk43_2 X3 X2) X3 → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 X3 → r2_hidden X1 (k10_xtuple_0 X2) → r2_hidden (esk40_2 X3 X2) (k10_xtuple_0 X2) → False) → (∀X1 X2 X3, ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X3 X2)) = (esk41_2 X3 X2) → False) → ((k1_funct_1 (esk44_2 X3 X2) X1) = (k1_funct_1 (k2_funct_1 X2) X1) → False) → (r2_hidden (esk43_2 X3 X2) X3 → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 X3 → r2_hidden X1 (k10_xtuple_0 X2) → r2_hidden (esk40_2 X3 X2) (k10_xtuple_0 X2) → False) → (∀X4 X3 X1 X2, ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → (r2_hidden X3 (k10_xtuple_0 X2) → False) → (esk42_2 X1 X2) = (esk41_2 X1 X2) → X4 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X4 X3 X1 X2, ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → (r2_hidden X3 (k10_xtuple_0 X2) → False) → (r2_hidden (esk40_2 X1 X2) X1 → False) → X4 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X4 X3 X1 X2, ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → (r2_hidden X3 (k10_xtuple_0 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X4 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X4 X3 X1 X2, ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → (r2_hidden X3 (k10_xtuple_0 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X4 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, (X3 = (k8_relat_1 X1 X2) → False) → (r2_hidden (esk11_3 X1 X2 X3) X3 → False) → (r2_hidden (esk11_3 X1 X2 X3) (k9_xtuple_0 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X3 X2 X1, ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → (r2_hidden X3 (k10_xtuple_0 X2) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → (r2_hidden X3 (k10_xtuple_0 X2) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((esk42_2 X1 X2) = k1_xboole_0 → False) → ((k9_xtuple_0 (esk44_2 X1 X2)) = X1 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → X3 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((esk41_2 X1 X2) = k1_xboole_0 → False) → ((k9_xtuple_0 (esk44_2 X1 X2)) = X1 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → X3 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((esk42_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → (v1_funct_1 (esk44_2 X1 X2) → False) → X3 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((esk42_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → (v1_relat_1 (esk44_2 X1 X2) → False) → X3 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((esk41_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → (v1_funct_1 (esk44_2 X1 X2) → False) → X3 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((esk41_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → (v1_relat_1 (esk44_2 X1 X2) → False) → X3 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X4 X2 X1, ((esk42_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = (k1_funct_1 (k2_funct_1 X2) X3) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X4 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → False) → (∀X3 X4 X2 X1, ((esk41_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = (k1_funct_1 (k2_funct_1 X2) X3) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X4 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → False) → (∀X3 X2 X1, ((esk42_2 X1 X2) = k1_xboole_0 → False) → ((k9_xtuple_0 (esk44_2 X1 X2)) = X1 → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((esk41_2 X1 X2) = k1_xboole_0 → False) → ((k9_xtuple_0 (esk44_2 X1 X2)) = X1 → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X4 X1 X2 X3, ((esk42_2 X3 X2) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X3 X2)) = (esk42_2 X3 X2) → False) → ((k1_funct_1 (esk44_2 X3 X2) X1) = (k1_funct_1 (k2_funct_1 X2) X1) → False) → (r2_hidden (esk43_2 X3 X2) (k10_xtuple_0 X2) → False) → X4 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 X3 → r2_hidden X1 (k10_xtuple_0 X2) → False) → (∀X4 X1 X2 X3, ((esk41_2 X3 X2) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X3 X2)) = (esk41_2 X3 X2) → False) → ((k1_funct_1 (esk44_2 X3 X2) X1) = (k1_funct_1 (k2_funct_1 X2) X1) → False) → (r2_hidden (esk43_2 X3 X2) (k10_xtuple_0 X2) → False) → X4 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 X3 → r2_hidden X1 (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((esk42_2 X1 X2) = k1_xboole_0 → False) → (v1_funct_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((esk42_2 X1 X2) = k1_xboole_0 → False) → (v1_relat_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((esk41_2 X1 X2) = k1_xboole_0 → False) → (v1_funct_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((esk41_2 X1 X2) = k1_xboole_0 → False) → (v1_relat_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((esk42_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = (k1_funct_1 (k2_funct_1 X2) X3) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → False) → (∀X3 X2 X1, ((esk41_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = (k1_funct_1 (k2_funct_1 X2) X3) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → False) → (∀X3 X4 X2 X1, ((esk42_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = (k1_funct_1 (k2_funct_1 X2) X3) → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X4 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → False) → (∀X3 X4 X2 X1, ((esk41_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = (k1_funct_1 (k2_funct_1 X2) X3) → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X4 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → False) → (∀X1 X2 X3, ((esk42_2 X3 X2) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X3 X2)) = (esk42_2 X3 X2) → False) → ((k1_funct_1 (esk44_2 X3 X2) X1) = (k1_funct_1 (k2_funct_1 X2) X1) → False) → (r2_hidden (esk43_2 X3 X2) X3 → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 X3 → r2_hidden X1 (k10_xtuple_0 X2) → False) → (∀X1 X2 X3, ((esk41_2 X3 X2) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X3 X2)) = (esk41_2 X3 X2) → False) → ((k1_funct_1 (esk44_2 X3 X2) X1) = (k1_funct_1 (k2_funct_1 X2) X1) → False) → (r2_hidden (esk43_2 X3 X2) X3 → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 X3 → r2_hidden X1 (k10_xtuple_0 X2) → False) → (∀X1 X4 X2 X3, ((esk42_2 X3 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X3 X2) X1) = (k1_funct_1 (k2_funct_1 X2) X1) → False) → (r2_hidden (esk40_2 X3 X2) (k10_xtuple_0 X2) → False) → (r2_hidden (esk43_2 X3 X2) (k10_xtuple_0 X2) → False) → X4 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 X3 → r2_hidden X1 (k10_xtuple_0 X2) → False) → (∀X1 X4 X2 X3, ((esk41_2 X3 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X3 X2) X1) = (k1_funct_1 (k2_funct_1 X2) X1) → False) → (r2_hidden (esk40_2 X3 X2) (k10_xtuple_0 X2) → False) → (r2_hidden (esk43_2 X3 X2) (k10_xtuple_0 X2) → False) → X4 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 X3 → r2_hidden X1 (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((esk42_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = (k1_funct_1 (k2_funct_1 X2) X3) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → False) → (∀X3 X2 X1, ((esk41_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = (k1_funct_1 (k2_funct_1 X2) X3) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → False) → (∀X3 X2 X1, ((k9_xtuple_0 (esk44_2 X1 X2)) = X1 → False) → (esk42_2 X1 X2) = (esk41_2 X1 X2) → X3 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, (v1_funct_1 (esk44_2 X1 X2) → False) → (esk42_2 X1 X2) = (esk41_2 X1 X2) → X3 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, (v1_relat_1 (esk44_2 X1 X2) → False) → (esk42_2 X1 X2) = (esk41_2 X1 X2) → X3 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((k9_xtuple_0 (esk44_2 X1 X2)) = X1 → False) → (r2_hidden (esk40_2 X1 X2) X1 → False) → X3 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, (v1_funct_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk40_2 X1 X2) X1 → False) → X3 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, (v1_relat_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk40_2 X1 X2) X1 → False) → X3 = (k1_funct_1 (k2_funct_1 X2) (esk43_2 X1 X2)) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X1 X2 X3, ((esk42_2 X3 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X3 X2) X1) = (k1_funct_1 (k2_funct_1 X2) X1) → False) → (r2_hidden (esk43_2 X3 X2) X3 → False) → (r2_hidden (esk40_2 X3 X2) (k10_xtuple_0 X2) → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 X3 → r2_hidden X1 (k10_xtuple_0 X2) → False) → (∀X1 X2 X3, ((esk41_2 X3 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X3 X2) X1) = (k1_funct_1 (k2_funct_1 X2) X1) → False) → (r2_hidden (esk43_2 X3 X2) X3 → False) → (r2_hidden (esk40_2 X3 X2) (k10_xtuple_0 X2) → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 X3 → r2_hidden X1 (k10_xtuple_0 X2) → False) → (∀X4 X3 X1 X2, ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = (k1_funct_1 (k2_funct_1 X2) X3) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X4 = k1_xboole_0 → (esk42_2 X1 X2) = (esk41_2 X1 X2) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → False) → (∀X3 X2 X1, ((k9_xtuple_0 (esk44_2 X1 X2)) = X1 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((k9_xtuple_0 (esk44_2 X1 X2)) = X1 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X4 X3 X1 X2, ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = (k1_funct_1 (k2_funct_1 X2) X3) → False) → (r2_hidden (esk40_2 X1 X2) X1 → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X4 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → False) → (∀X3 X2 X1, ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → (v1_funct_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → (v1_relat_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → (v1_funct_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → (v1_relat_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X4 X3 X1 X2, ((k1_funct_1 (esk44_2 X3 X2) X1) = (k1_funct_1 (k2_funct_1 X2) X1) → False) → (r2_hidden (esk43_2 X3 X2) (k10_xtuple_0 X2) → False) → X4 = k1_xboole_0 → (esk42_2 X3 X2) = (esk41_2 X3 X2) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 X3 → r2_hidden X1 (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = (k1_funct_1 (k2_funct_1 X2) X3) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → (esk42_2 X1 X2) = (esk41_2 X1 X2) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → False) → (∀X3 X4 X2 X1, ((esk42_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → (r2_hidden X3 (k10_xtuple_0 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X4 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → False) → (∀X3 X4 X2 X1, ((esk41_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → (r2_hidden X3 (k10_xtuple_0 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X4 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → False) → (∀X1 X2, ((k9_xtuple_0 (esk44_2 X1 X2)) = X1 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X1 X2, ((k9_xtuple_0 (esk44_2 X1 X2)) = X1 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X4 X3 X1 X2, ((k1_funct_1 (esk44_2 X3 X2) X1) = (k1_funct_1 (k2_funct_1 X2) X1) → False) → (r2_hidden (esk40_2 X3 X2) X3 → False) → (r2_hidden (esk43_2 X3 X2) (k10_xtuple_0 X2) → False) → X4 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 X3 → r2_hidden X1 (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = (k1_funct_1 (k2_funct_1 X2) X3) → False) → (r2_hidden (esk40_2 X1 X2) X1 → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → False) → (∀X1 X2, ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → (v1_funct_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X1 X2, ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → (v1_relat_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X1 X2, ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → (v1_funct_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X1 X2, ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → (v1_relat_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (∀X1 X2 X3, ((k1_funct_1 (esk44_2 X3 X2) X1) = (k1_funct_1 (k2_funct_1 X2) X1) → False) → (r2_hidden (esk43_2 X3 X2) X3 → False) → (esk42_2 X3 X2) = (esk41_2 X3 X2) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 X3 → r2_hidden X1 (k10_xtuple_0 X2) → False) → (∀X3 X2 X1, ((esk42_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → (r2_hidden X3 (k10_xtuple_0 X2) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → False) → (∀X3 X2 X1, ((esk41_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → (r2_hidden X3 (k10_xtuple_0 X2) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → False) → (∀X1 X2 X3, ((k1_funct_1 (esk44_2 X3 X2) X1) = (k1_funct_1 (k2_funct_1 X2) X1) → False) → (r2_hidden (esk40_2 X3 X2) X3 → False) → (r2_hidden (esk43_2 X3 X2) X3 → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 X3 → r2_hidden X1 (k10_xtuple_0 X2) → False) → (∀X3 X4 X2 X1, ((esk42_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → (r2_hidden X3 (k10_xtuple_0 X2) → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X4 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → False) → (∀X3 X4 X2 X1, ((esk41_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → (r2_hidden X3 (k10_xtuple_0 X2) → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X4 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → False) → (∀X3 X2 X1, ((esk42_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → (r2_hidden X3 (k10_xtuple_0 X2) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → False) → (∀X3 X2 X1, ((esk41_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → (r2_hidden X3 (k10_xtuple_0 X2) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → False) → (∀X4 X3 X1 X2, ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → (r2_hidden X3 (k10_xtuple_0 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X4 = k1_xboole_0 → (esk42_2 X1 X2) = (esk41_2 X1 X2) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → False) → (∀X4 X3 X1 X2, ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → (r2_hidden X3 (k10_xtuple_0 X2) → False) → (r2_hidden (esk40_2 X1 X2) X1 → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X4 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → False) → (∀X1 X3 X2, ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → (r2_hidden X3 (k10_xtuple_0 X2) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → (esk42_2 X1 X2) = (esk41_2 X1 X2) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 X1 → False) → (∀X1 X3 X2, ((k1_funct_1 (esk44_2 X1 X2) X3) = k1_xboole_0 → False) → (r2_hidden X3 (k10_xtuple_0 X2) → False) → (r2_hidden (esk40_2 X1 X2) X1 → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X3 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) → (∀X3 X2 X1, ((esk42_2 X1 X2) = k1_xboole_0 → False) → ((k9_xtuple_0 (esk44_2 X1 X2)) = X1 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X3 X2 X1, ((esk41_2 X1 X2) = k1_xboole_0 → False) → ((k9_xtuple_0 (esk44_2 X1 X2)) = X1 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X3 X2 X1, ((esk42_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → (v1_funct_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X3 X2 X1, ((esk42_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → (v1_relat_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X3 X2 X1, ((esk41_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → (v1_funct_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X3 X2 X1, ((esk41_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → (v1_relat_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → 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) → (∀X1 X2, ((esk42_2 X1 X2) = k1_xboole_0 → False) → ((k9_xtuple_0 (esk44_2 X1 X2)) = X1 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X1 X2, ((esk41_2 X1 X2) = k1_xboole_0 → False) → ((k9_xtuple_0 (esk44_2 X1 X2)) = X1 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X1 X2, ((esk42_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → (v1_funct_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X1 X2, ((esk42_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk42_2 X1 X2) → False) → (v1_relat_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X1 X2, ((esk41_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → (v1_funct_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X1 X2, ((esk41_2 X1 X2) = k1_xboole_0 → False) → ((k1_funct_1 (k2_funct_1 X2) (esk40_2 X1 X2)) = (esk41_2 X1 X2) → False) → (v1_relat_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → v1_relat_1 X2 → v1_funct_1 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, ((esk42_2 X1 X2) = k1_xboole_0 → False) → ((k9_xtuple_0 (esk44_2 X1 X2)) = X1 → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X3 X2 X1, ((esk41_2 X1 X2) = k1_xboole_0 → False) → ((k9_xtuple_0 (esk44_2 X1 X2)) = X1 → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X3 X2 X1, ((esk42_2 X1 X2) = k1_xboole_0 → False) → (v1_funct_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X3 X2 X1, ((esk42_2 X1 X2) = k1_xboole_0 → False) → (v1_relat_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X3 X2 X1, ((esk41_2 X1 X2) = k1_xboole_0 → False) → (v1_funct_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X3 X2 X1, ((esk41_2 X1 X2) = k1_xboole_0 → False) → (v1_relat_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 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, ((esk42_2 X1 X2) = k1_xboole_0 → False) → ((k9_xtuple_0 (esk44_2 X1 X2)) = X1 → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X1 X2, ((esk41_2 X1 X2) = k1_xboole_0 → False) → ((k9_xtuple_0 (esk44_2 X1 X2)) = X1 → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X1 X2, ((esk42_2 X1 X2) = k1_xboole_0 → False) → (v1_funct_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X1 X2, ((esk42_2 X1 X2) = k1_xboole_0 → False) → (v1_relat_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X1 X2, ((esk41_2 X1 X2) = k1_xboole_0 → False) → (v1_funct_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X1 X2, ((esk41_2 X1 X2) = k1_xboole_0 → False) → (v1_relat_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → (r2_hidden (esk40_2 X1 X2) (k10_xtuple_0 X2) → False) → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X1 X3 X2, ((k1_funct_1 (k3_relat_1 X1 X2) X3) = (k1_funct_1 X2 (k1_funct_1 X1 X3)) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → r2_hidden X3 (k9_xtuple_0 X1) → False) → (∀X3 X2 X1, ((k9_xtuple_0 (esk44_2 X1 X2)) = X1 → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = k1_xboole_0 → (esk42_2 X1 X2) = (esk41_2 X1 X2) → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X3 X2 X1, (v1_funct_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = k1_xboole_0 → (esk42_2 X1 X2) = (esk41_2 X1 X2) → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X3 X2 X1, (v1_relat_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = k1_xboole_0 → (esk42_2 X1 X2) = (esk41_2 X1 X2) → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X3 X2 X1, ((k9_xtuple_0 (esk44_2 X1 X2)) = X1 → False) → (r2_hidden (esk40_2 X1 X2) X1 → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X3 X2 X1, (v1_funct_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk40_2 X1 X2) X1 → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X3 X2 X1, (v1_relat_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk40_2 X1 X2) X1 → False) → (r2_hidden (esk43_2 X1 X2) (k10_xtuple_0 X2) → False) → X3 = k1_xboole_0 → v1_relat_1 X2 → v1_funct_1 X2 → 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) → (∀X1 X2, ((k9_xtuple_0 (esk44_2 X1 X2)) = X1 → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → (esk42_2 X1 X2) = (esk41_2 X1 X2) → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X1 X2, (v1_funct_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → (esk42_2 X1 X2) = (esk41_2 X1 X2) → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X1 X2, (v1_relat_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → (esk42_2 X1 X2) = (esk41_2 X1 X2) → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X1 X2, ((k9_xtuple_0 (esk44_2 X1 X2)) = X1 → False) → (r2_hidden (esk40_2 X1 X2) X1 → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X1 X2, (v1_funct_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk40_2 X1 X2) X1 → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X1 X2, (v1_relat_1 (esk44_2 X1 X2) → False) → (r2_hidden (esk40_2 X1 X2) X1 → False) → (r2_hidden (esk43_2 X1 X2) X1 → False) → v1_relat_1 X2 → v1_funct_1 X2 → False) → (∀X2 X1, (r1_tarski (k10_xtuple_0 (esk46_2 X1 X2)) X2 → False) → r1_ordinal1 (k1_card_1 X1) (k1_card_1 X2) → False) → (∀X2 X1, (X2 = (k10_xtuple_0 X1) → False) → ((k1_funct_1 X1 (