Theorem. (
t6_bvfunc11)
∀esk5_4 : set → set → set → set → set, ∀esk6_4 : set → set → set → set → set, ∀k4_funct_4 : set → set → set → set → set, ∀v4_relat_1 : set → set → prop, ∀k2_tarski : set → set → set, ∀esk10_3 : set → set → set → set, ∀esk11_3 : set → set → set → set, ∀k9_subset_1 : set → set → set → set, ∀esk13_2 : set → set → set, ∀esk14_2 : set → set → set, ∀k2_partit1 : set → set → set → set, ∀esk18_2 : set → set → set, ∀esk24_2 : set → set → set, ∀v1_funcop_1 : set → prop, ∀v1_setfam_1 : set → prop, ∀v2_funcop_1 : set → prop, ∀esk39_1 : set → set, ∀v2_card_3 : set → prop, ∀esk33_1 : set → set, ∀v1_eqrel_1 : set → set → prop, ∀esk32_1 : set → set, ∀esk34_0 : set, ∀o_0_0_xboole_0 : set, ∀esk35_0 : set, ∀esk31_1 : set → set, ∀esk37_0 : set, ∀esk38_1 : set → set, ∀esk2_0 : set, ∀esk1_0 : set, ∀esk3_0 : set, ∀esk4_0 : set, ∀esk36_1 : set → set, ∀esk20_2 : set → set → set, ∀r1_tarski : set → set → prop, ∀esk15_2 : set → set → set, ∀k6_setfam_1 : set → set → set, ∀esk19_2 : set → set → set, ∀k1_tarski : set → set, ∀esk17_3 : set → set → set → set, ∀esk23_2 : set → set → set, ∀esk12_3 : set → set → set → set, ∀k1_setfam_1 : set → set, ∀esk16_3 : set → set → set → set, ∀esk27_3 : set → set → set → set, ∀esk28_3 : set → set → set → set, ∀esk29_3 : set → set → set → set, ∀esk30_3 : set → set → set → set, ∀k6_subset_1 : set → set → set, ∀esk21_3 : set → set → set → set, ∀esk26_4 : set → set → set → set → set, ∀esk25_4 : set → set → set → set → set, ∀k3_xboole_0 : set → set → set, ∀k3_setfam_1 : set → set → set, ∀esk22_4 : set → set → set → set → set, ∀v2_bvfunc_2 : set → set → prop, ∀esk8_3 : set → set → set → set, ∀esk9_5 : set → set → set → set → set → set, ∀v1_xboole_0 : set → prop, ∀k9_xtuple_0 : set → set, ∀k8_setfam_1 : set → set → set, ∀v1_relat_1 : set → prop, ∀m1_eqrel_1 : set → set → prop, ∀esk7_6 : set → set → set → set → set → set → set, ∀k1_funct_1 : set → set → set, ∀k1_bvfunc_2 : set → set, ∀m1_subset_1 : set → set → prop, ∀k1_zfmisc_1 : set → set, ∀v1_funct_1 : set → prop, ∀k2_bvfunc_2 : set → set → set, ∀k10_xtuple_0 : set → set, ∀r2_hidden : set → set → prop, ∀k1_xboole_0 : set, (∀X2 X3 X1 X6 X4 X5, (X5 = k1_xboole_0 → False) → (v1_xboole_0 X2 → False) → (r2_hidden X5 X4 → False) → (k9_xtuple_0 X1) = X3 → (k10_xtuple_0 X1) = X6 → X5 = (k8_setfam_1 X2 X6) → X4 = (k2_bvfunc_2 X2 X3) → v1_relat_1 X1 → v1_funct_1 X1 → m1_eqrel_1 X4 X2 → m1_subset_1 X6 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k1_bvfunc_2 X2)) → r2_hidden (k1_funct_1 X1 (esk7_6 X2 X3 X4 X5 X1 X6)) (esk7_6 X2 X3 X4 X5 X1 X6) → False) → (∀X1 X2 X5 X6 X3 X4, (X4 = k1_xboole_0 → False) → (v1_xboole_0 X1 → False) → (r2_hidden X4 X3 → False) → (r2_hidden (esk7_6 X1 X2 X3 X4 X5 X6) X2 → False) → (k9_xtuple_0 X5) = X2 → (k10_xtuple_0 X5) = X6 → X4 = (k8_setfam_1 X1 X6) → X3 = (k2_bvfunc_2 X1 X2) → v1_relat_1 X5 → v1_funct_1 X5 → m1_eqrel_1 X3 X1 → m1_subset_1 X6 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1)) → False) → (∀X1 X5 X2 X3 X4, (X4 = (k2_bvfunc_2 X2 X3) → False) → ((esk8_3 X2 X3 X4) = k1_xboole_0 → False) → (v1_xboole_0 X2 → False) → (k9_xtuple_0 X1) = X3 → (k10_xtuple_0 X1) = X5 → (esk8_3 X2 X3 X4) = (k8_setfam_1 X2 X5) → v1_relat_1 X1 → v1_funct_1 X1 → m1_eqrel_1 X4 X2 → m1_subset_1 X5 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k1_bvfunc_2 X2)) → r2_hidden (esk8_3 X2 X3 X4) X4 → r2_hidden (k1_funct_1 X1 (esk9_5 X2 X3 X4 X1 X5)) (esk9_5 X2 X3 X4 X1 X5) → False) → (∀X4 X5 X1 X2 X3, (X3 = (k2_bvfunc_2 X1 X2) → False) → ((esk8_3 X1 X2 X3) = k1_xboole_0 → False) → (v1_xboole_0 X1 → False) → (r2_hidden (esk9_5 X1 X2 X3 X4 X5) X2 → False) → (k9_xtuple_0 X4) = X2 → (k10_xtuple_0 X4) = X5 → (esk8_3 X1 X2 X3) = (k8_setfam_1 X1 X5) → v1_relat_1 X4 → v1_funct_1 X4 → m1_eqrel_1 X3 X1 → m1_subset_1 X5 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1)) → r2_hidden (esk8_3 X1 X2 X3) X3 → False) → (∀X3 X1 X4 X2, (v1_xboole_0 X2 → False) → (k9_xtuple_0 X1) = X3 → (k10_xtuple_0 X1) = X4 → (k8_setfam_1 X2 X4) = k1_xboole_0 → v1_relat_1 X1 → v1_funct_1 X1 → v2_bvfunc_2 X3 X2 → m1_subset_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k1_bvfunc_2 X2)) → r2_hidden (k1_funct_1 X1 (esk22_4 X2 X3 X1 X4)) (esk22_4 X2 X3 X1 X4) → False) → (∀X4 X2 X5 X1 X3, (v1_xboole_0 X3 → False) → (r2_hidden (k1_funct_1 (esk5_4 X3 X2 X4 X5) X1) X1 → False) → X4 = (k2_bvfunc_2 X3 X2) → m1_eqrel_1 X4 X3 → r2_hidden X5 X4 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X3)) → False) → (∀X3 X2 X4 X1, ((k3_xboole_0 (esk25_4 X2 X3 X4 X1) (esk26_4 X2 X3 X4 X1)) = X1 → False) → X4 = (k3_setfam_1 X2 X3) → r2_hidden X1 X4 → False) → (∀X3 X2 X4 X1, ((k10_xtuple_0 (esk5_4 X1 X2 X3 X4)) = (esk6_4 X1 X2 X3 X4) → False) → (v1_xboole_0 X1 → False) → X3 = (k2_bvfunc_2 X1 X2) → m1_eqrel_1 X3 X1 → r2_hidden X4 X3 → m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1)) → False) → (∀X2 X3 X4 X1, (v1_xboole_0 X1 → False) → (r2_hidden (esk22_4 X1 X2 X3 X4) X2 → False) → (k9_xtuple_0 X3) = X2 → (k10_xtuple_0 X3) = X4 → (k8_setfam_1 X1 X4) = k1_xboole_0 → v1_relat_1 X3 → v1_funct_1 X3 → v2_bvfunc_2 X2 X1 → m1_subset_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1)) → False) → (∀X3 X2 X4 X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk6_4 X1 X2 X3 X4) (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → X3 = (k2_bvfunc_2 X1 X2) → m1_eqrel_1 X3 X1 → r2_hidden X4 X3 → m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1)) → False) → (∀X4 X3 X1 X2, ((k8_setfam_1 X2 (esk6_4 X2 X3 X4 X1)) = X1 → False) → (v1_xboole_0 X2 → False) → X4 = (k2_bvfunc_2 X2 X3) → m1_eqrel_1 X4 X2 → r2_hidden X1 X4 → m1_subset_1 X3 (k1_zfmisc_1 (k1_bvfunc_2 X2)) → False) → (∀X3 X2 X4 X1, ((k9_xtuple_0 (esk5_4 X1 X2 X3 X4)) = X2 → False) → (v1_xboole_0 X1 → False) → X3 = (k2_bvfunc_2 X1 X2) → m1_eqrel_1 X3 X1 → r2_hidden X4 X3 → m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1)) → False) → (∀X3 X2 X4 X1, (v1_xboole_0 X1 → False) → (v1_funct_1 (esk5_4 X1 X2 X3 X4) → False) → X3 = (k2_bvfunc_2 X1 X2) → m1_eqrel_1 X3 X1 → r2_hidden X4 X3 → m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1)) → False) → (∀X3 X2 X4 X1, (v1_xboole_0 X1 → False) → (v1_relat_1 (esk5_4 X1 X2 X3 X4) → False) → X3 = (k2_bvfunc_2 X1 X2) → m1_eqrel_1 X3 X1 → r2_hidden X4 X3 → m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1)) → False) → (∀X1 X3 X2, (X3 = (k3_xboole_0 X1 X2) → False) → r2_hidden (esk21_3 X1 X2 X3) X3 → r2_hidden (esk21_3 X1 X2 X3) X2 → r2_hidden (esk21_3 X1 X2 X3) X1 → False) → (∀X2 X3 X5 X4 X1, (v1_xboole_0 X1 → False) → (v4_relat_1 (k4_funct_4 X2 X3 X4 X5) X1 → False) → m1_subset_1 X3 X1 → m1_subset_1 X2 X1 → False) → (∀X2 X1 X3 X4, (r2_hidden (esk26_4 X1 X2 X3 X4) X2 → False) → X3 = (k3_setfam_1 X1 X2) → r2_hidden X4 X3 → False) → (∀X2 X1 X3 X4, (r2_hidden (esk25_4 X1 X2 X3 X4) X1 → False) → X3 = (k3_setfam_1 X1 X2) → r2_hidden X4 X3 → False) → (∀X1 X3 X2, (X3 = (k6_subset_1 X1 X2) → False) → (r2_hidden (esk30_3 X1 X2 X3) X2 → False) → r2_hidden (esk30_3 X1 X2 X3) X3 → r2_hidden (esk30_3 X1 X2 X3) X1 → False) → (∀X4 X3 X1 X2, (X1 = X2 → False) → ((k10_xtuple_0 (k4_funct_4 X1 X2 X3 X4)) = (k2_tarski X3 X4) → False) → False) → (∀X4 X3 X1 X2, (X1 = X2 → False) → ((k1_funct_1 (k4_funct_4 X1 X2 X3 X4) X1) = X3 → False) → False) → (∀X1 X3 X2 X4, (X4 = (k2_bvfunc_2 X3 X2) → False) → (v1_xboole_0 X3 → False) → (r2_hidden (esk8_3 X3 X2 X4) X4 → False) → (r2_hidden (k1_funct_1 (esk10_3 X3 X2 X4) X1) X1 → False) → m1_eqrel_1 X4 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X3)) → False) → (∀X3 X2 X1, (X3 = (k3_setfam_1 X1 X2) → False) → ((k3_xboole_0 (esk28_3 X1 X2 X3) (esk29_3 X1 X2 X3)) = (esk27_3 X1 X2 X3) → False) → (r2_hidden (esk27_3 X1 X2 X3) X3 → False) → False) → (∀X2 X3 X1, (X3 = (k2_bvfunc_2 X1 X2) → False) → ((k8_setfam_1 X1 (esk11_3 X1 X2 X3)) = (esk8_3 X1 X2 X3) → False) → (v1_xboole_0 X1 → False) → (r2_hidden (esk8_3 X1 X2 X3) X3 → False) → m1_eqrel_1 X3 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1)) → False) → (∀X2 X3 X1, (X3 = (k2_bvfunc_2 X1 X2) → False) → ((k10_xtuple_0 (esk10_3 X1 X2 X3)) = (esk11_3 X1 X2 X3) → False) → (v1_xboole_0 X1 → False) → (r2_hidden (esk8_3 X1 X2 X3) X3 → False) → m1_eqrel_1 X3 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1)) → False) → (∀X5 X4 X1 X2 X3, (X3 = (k3_setfam_1 X1 X2) → False) → (esk27_3 X1 X2 X3) = (k3_xboole_0 X4 X5) → r2_hidden X5 X2 → r2_hidden X4 X1 → r2_hidden (esk27_3 X1 X2 X3) X3 → False) → (∀X2 X3 X1, (X3 = (k2_bvfunc_2 X1 X2) → False) → (v1_xboole_0 X1 → False) → (r2_hidden (esk8_3 X1 X2 X3) X3 → False) → (m1_subset_1 (esk11_3 X1 X2 X3) (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → m1_eqrel_1 X3 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1)) → False) → (∀X2 X3 X1, (X3 = (k2_bvfunc_2 X1 X2) → False) → ((k9_xtuple_0 (esk10_3 X1 X2 X3)) = X2 → False) → (v1_xboole_0 X1 → False) → (r2_hidden (esk8_3 X1 X2 X3) X3 → False) → m1_eqrel_1 X3 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1)) → False) → (∀X2 X3 X1, (X3 = (k6_subset_1 X1 X2) → False) → (r2_hidden (esk30_3 X1 X2 X3) X3 → False) → r2_hidden (esk30_3 X1 X2 X3) X2 → False) → (∀X2 X3 X1, (X3 = (k2_bvfunc_2 X1 X2) → False) → (v1_xboole_0 X1 → False) → (v1_funct_1 (esk10_3 X1 X2 X3) → False) → (r2_hidden (esk8_3 X1 X2 X3) X3 → False) → m1_eqrel_1 X3 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1)) → False) → (∀X2 X3 X1, (X3 = (k2_bvfunc_2 X1 X2) → False) → (v1_xboole_0 X1 → False) → (v1_relat_1 (esk10_3 X1 X2 X3) → False) → (r2_hidden (esk8_3 X1 X2 X3) X3 → False) → m1_eqrel_1 X3 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1)) → False) → (∀X2 X3 X1, (X3 = (k2_bvfunc_2 X1 X2) → False) → (v1_xboole_0 X1 → False) → (r2_hidden (esk8_3 X1 X2 X3) X3 → False) → (esk8_3 X1 X2 X3) = k1_xboole_0 → m1_eqrel_1 X3 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1)) → False) → (∀X3 X2 X1, (X3 = (k2_tarski X1 X2) → False) → (esk16_3 X1 X2 X3) = X1 → r2_hidden (esk16_3 X1 X2 X3) X3 → False) → (∀X3 X2 X1, (X3 = (k2_tarski X1 X2) → False) → (esk16_3 X1 X2 X3) = X2 → r2_hidden (esk16_3 X1 X2 X3) X3 → False) → (∀X1 X3 X2, (X3 = (k6_subset_1 X1 X2) → False) → (r2_hidden (esk30_3 X1 X2 X3) X3 → False) → (r2_hidden (esk30_3 X1 X2 X3) X1 → False) → False) → (∀X1 X3 X2, (X3 = (k3_xboole_0 X1 X2) → False) → (r2_hidden (esk21_3 X1 X2 X3) X3 → False) → (r2_hidden (esk21_3 X1 X2 X3) X1 → False) → False) → (∀X2 X3 X1, (X3 = (k3_xboole_0 X1 X2) → False) → (r2_hidden (esk21_3 X1 X2 X3) X3 → False) → (r2_hidden (esk21_3 X1 X2 X3) X2 → False) → False) → (∀X2 X3 X1, (X3 = (k3_setfam_1 X1 X2) → False) → (r2_hidden (esk27_3 X1 X2 X3) X3 → False) → (r2_hidden (esk29_3 X1 X2 X3) X2 → False) → False) → (∀X1 X3 X2, (X3 = (k3_setfam_1 X1 X2) → False) → (r2_hidden (esk27_3 X1 X2 X3) X3 → False) → (r2_hidden (esk28_3 X1 X2 X3) X1 → False) → False) → (∀X3 X2 X1, (X3 = (k2_tarski X1 X2) → False) → ((esk16_3 X1 X2 X3) = X2 → False) → ((esk16_3 X1 X2 X3) = X1 → False) → (r2_hidden (esk16_3 X1 X2 X3) X3 → False) → False) → (∀X3 X1 X2, (X2 = k1_xboole_0 → False) → (r2_hidden X1 X3 → False) → X3 = (k1_setfam_1 X2) → r2_hidden X1 (esk12_3 X2 X3 X1) → False) → (∀X2 X3 X4 X1, ((k8_setfam_1 X2 X1) = (k9_subset_1 X2 X3 X4) → False) → X1 = (k2_tarski X3 X4) → m1_subset_1 X4 (k1_zfmisc_1 X2) → m1_subset_1 X3 (k1_zfmisc_1 X2) → m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → False) → (∀X2 X1 X3, (v1_xboole_0 X3 → False) → (v2_bvfunc_2 X2 X3 → False) → (r2_hidden (k1_funct_1 (esk23_2 X3 X2) X1) X1 → False) → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X3)) → False) → (∀X2 X1, (X1 = k1_xboole_0 → False) → (X2 = (k1_setfam_1 X1) → False) → r2_hidden (esk13_2 X1 X2) X2 → r2_hidden (esk13_2 X1 X2) (esk14_2 X1 X2) → False) → (∀X3 X2 X1, (r2_hidden (esk17_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 X3 X1, (v1_xboole_0 X1 → False) → (m1_eqrel_1 (k2_partit1 X1 X2 X3) X1 → False) → m1_eqrel_1 X3 X1 → m1_eqrel_1 X2 X1 → False) → (∀X1 X3 X2, ((k1_funct_1 X2 (esk17_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) → (esk18_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 (esk18_2 X1 X2) X2 → False) → (∀X3 X2 X1, (m1_subset_1 (k9_subset_1 X2 X3 X1) (k1_zfmisc_1 X2) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X3 X1, ((k2_partit1 X1 X2 X3) = (k2_partit1 X1 X3 X2) → False) → (v1_xboole_0 X1 → False) → m1_eqrel_1 X3 X1 → m1_eqrel_1 X2 X1 → False) → (∀X2 X3 X1, ((k2_partit1 X1 X2 X3) = (k6_subset_1 (k3_setfam_1 X2 X3) (k1_tarski k1_xboole_0)) → False) → (v1_xboole_0 X1 → False) → m1_eqrel_1 X3 X1 → m1_eqrel_1 X2 X1 → False) → (∀X2 X3 X1, (X1 = k1_xboole_0 → False) → (r2_hidden X3 X2 → False) → (r2_hidden (esk12_3 X1 X2 X3) X1 → False) → X2 = (k1_setfam_1 X1) → False) → (∀X3 X2 X1, ((k9_subset_1 X2 X1 X3) = (k9_subset_1 X2 X3 X1) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v2_bvfunc_2 X2 X1 → False) → (m1_subset_1 (esk24_2 X1 X2) (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1)) → False) → (∀X1 X4 X2 X3, (v1_xboole_0 X3 → False) → X1 = k1_xboole_0 → X2 = (k2_bvfunc_2 X3 X4) → m1_eqrel_1 X2 X3 → r2_hidden X1 X2 → m1_subset_1 X4 (k1_zfmisc_1 (k1_bvfunc_2 X3)) → False) → (∀X2 X1, ((k10_xtuple_0 (esk23_2 X1 X2)) = (esk24_2 X1 X2) → False) → (v1_xboole_0 X1 → False) → (v2_bvfunc_2 X2 X1 → False) → m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1)) → False) → (∀X2 X1, (X2 = (k10_xtuple_0 X1) → False) → ((k1_funct_1 X1 (esk19_2 X1 X2)) = (esk18_2 X1 X2) → False) → (r2_hidden (esk18_2 X1 X2) X2 → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X2 X1, ((k8_setfam_1 X1 (esk24_2 X1 X2)) = k1_xboole_0 → False) → (v1_xboole_0 X1 → False) → (v2_bvfunc_2 X2 X1 → False) → m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1)) → False) → (∀X2 X1, (X1 = k1_xboole_0 → False) → (X2 = (k1_setfam_1 X1) → False) → (r2_hidden (esk14_2 X1 X2) X1 → False) → r2_hidden (esk13_2 X1 X2) X2 → False) → (∀X2 X3 X1, (X1 = k1_xboole_0 → False) → (X2 = (k1_setfam_1 X1) → False) → (r2_hidden (esk13_2 X1 X2) X3 → False) → (r2_hidden (esk13_2 X1 X2) X2 → False) → r2_hidden X3 X1 → False) → (∀X4 X2 X1 X3 X5 X6, (r2_hidden X5 X6 → False) → X6 = (k3_setfam_1 X2 X4) → X5 = (k3_xboole_0 X1 X3) → r2_hidden X3 X4 → r2_hidden X1 X2 → False) → (∀X2 X1, (X2 = (k10_xtuple_0 X1) → False) → (r2_hidden (esk18_2 X1 X2) X2 → False) → (r2_hidden (esk19_2 X1 X2) (k9_xtuple_0 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X2 X1, ((k9_xtuple_0 (esk23_2 X1 X2)) = X2 → False) → (v1_xboole_0 X1 → False) → (v2_bvfunc_2 X2 X1 → False) → m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1)) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v2_bvfunc_2 X2 X1 → False) → (v1_funct_1 (esk23_2 X1 X2) → False) → m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1)) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v2_bvfunc_2 X2 X1 → False) → (v1_relat_1 (esk23_2 X1 X2) → False) → m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1)) → False) → (∀X3 X2 X1, ((k9_subset_1 X2 X3 X1) = (k3_xboole_0 X3 X1) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1, (m1_subset_1 (k6_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, (v1_xboole_0 X1 → False) → (m1_eqrel_1 (k2_bvfunc_2 X1 X2) X1 → False) → m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 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) → (∀X2 X1, (X2 = (k1_tarski X1) → False) → (esk15_2 X1 X2) = X1 → r2_hidden (esk15_2 X1 X2) X2 → False) → (∀X3 X2 X1, ((k9_subset_1 X2 X3 X3) = X3 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X3 X1 X4, (r2_hidden X1 X4 → False) → X4 = (k3_xboole_0 X2 X3) → r2_hidden X1 X3 → r2_hidden X1 X2 → False) → (∀X2 X1, (X1 = k1_xboole_0 → False) → ((k8_setfam_1 X2 X1) = (k6_setfam_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 (esk20_2 X1 X2) X2 → False) → (∀X3 X2 X1 X4, (r2_hidden X1 X4 → False) → (r2_hidden X1 X3 → False) → X4 = (k6_subset_1 X2 X3) → r2_hidden X1 X2 → False) → (∀X3 X1 X2 X4, (X4 = k1_xboole_0 → False) → (r2_hidden X1 X3 → False) → X2 = (k1_setfam_1 X4) → r2_hidden X3 X4 → r2_hidden X1 X2 → False) → (∀X2 X1, ((k6_setfam_1 X2 X1) = (k1_setfam_1 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) → (∀X4 X3 X2 X1, X3 = (k6_subset_1 X4 X2) → r2_hidden X1 X3 → r2_hidden X1 X2 → False) → (∀X2 X1, ((k8_setfam_1 X2 X1) = X2 → False) → X1 = k1_xboole_0 → m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → False) → (∀X2 X1 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X3 X4 X1 X2, (r2_hidden X1 X2 → False) → X3 = (k6_subset_1 X2 X4) → r2_hidden X1 X3 → False) → (∀X3 X4 X1 X2, (r2_hidden X1 X2 → False) → X3 = (k3_xboole_0 X2 X4) → r2_hidden X1 X3 → False) → (∀X3 X4 X1 X2, (r2_hidden X1 X2 → False) → X3 = (k3_xboole_0 X4 X2) → r2_hidden X1 X3 → False) → (∀X2 X1, (X2 = (k1_tarski X1) → False) → ((esk15_2 X1 X2) = X1 → False) → (r2_hidden (esk15_2 X1 X2) X2 → False) → False) → (∀X1 X3 X2, (r2_hidden X3 X2 → False) → r2_hidden X3 X1 → r1_tarski X1 X2 → False) → (∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2)) → False) → m1_eqrel_1 X1 X2 → False) → (∀X1 X2, (r1_tarski X1 X2 → False) → (r2_hidden (esk20_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) → (∀X3 X2 X1 X4, (X1 = X4 → False) → (X1 = X3 → False) → X2 = (k2_tarski X3 X4) → r2_hidden 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, (m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → r1_tarski X1 X2 → False) → (∀X2 X4 X1 X3, (r2_hidden X1 X3 → False) → X1 = X2 → X3 = (k2_tarski X2 X4) → False) → (∀X2 X4 X1 X3, (r2_hidden X1 X3 → False) → X1 = X2 → X3 = (k2_tarski X4 X2) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → v1_xboole_0 X2 → m1_eqrel_1 X2 X1 → False) → (∀X2 X1 X3, (X1 = X3 → False) → X2 = (k1_tarski X3) → r2_hidden X1 X2 → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X2 X1, (v1_setfam_1 X1 → False) → m1_eqrel_1 X1 X2 → False) → (∀X2 X1 X3, (r2_hidden X1 X3 → False) → X1 = X2 → X3 = (k1_tarski X2) → False) → (∀X1, (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_xboole_0 X1 → False) → (m1_eqrel_1 (esk39_1 X1) X1 → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_eqrel_1 (esk36_1 X1) X1 → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk39_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk36_1 X1) → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → X1 = X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → X1 = X2 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_setfam_1 (esk39_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_setfam_1 (esk36_1 X1) → False) → False) → (∀X2 X1, (X1 = k1_xboole_0 → False) → X2 = k1_xboole_0 → X1 = (k1_setfam_1 X2) → False) → (∀X1, (v2_card_3 X1 → False) → v1_xboole_0 X1 → False) → (∀X2 X1, (X1 = (k1_setfam_1 X2) → False) → X2 = k1_xboole_0 → X1 = k1_xboole_0 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → ((k2_partit1 esk1_0 esk3_0 esk4_0) = (k2_bvfunc_2 esk1_0 esk2_0) → False) → (∀X1 X2, v1_xboole_0 (k2_tarski X1 X2) → False) → (∀X1, v1_xboole_0 (esk38_1 X1) → False) → (∀X1, v1_xboole_0 (k1_tarski X1) → False) → (v1_xboole_0 esk37_0 → False) → (v1_xboole_0 esk1_0 → False) → (esk4_0 = esk3_0 → False) → (∀X3 X4 X1 X2, (r1_tarski (k10_xtuple_0 (k4_funct_4 X1 X2 X3 X4)) (k2_tarski X3 X4) → False) → False) → (∀X1 X2 X4 X3, ((k9_xtuple_0 (k4_funct_4 X1 X2 X3 X4)) = (k2_tarski X1 X2) → False) → False) → (∀X4 X1 X3 X2, ((k1_funct_1 (k4_funct_4 X1 X2 X3 X4) X2) = X4 → False) → False) → (∀X2 X3 X4 X1, (v1_funct_1 (k4_funct_4 X1 X2 X3 X4) → False) → False) → (∀X2 X3 X4 X1, (v1_relat_1 (k4_funct_4 X1 X2 X3 X4) → False) → False) → (∀X1, (m1_subset_1 (esk38_1 X1) (k1_zfmisc_1 (k1_zfmisc_1 (k1_zfmisc_1 X1))) → False) → False) → (∀X1, (m1_subset_1 (esk33_1 X1) (k1_zfmisc_1 (k1_zfmisc_1 (k1_zfmisc_1 X1))) → False) → False) → (∀X1, (m1_subset_1 (k1_bvfunc_2 X1) (k1_zfmisc_1 (k1_zfmisc_1 (k1_zfmisc_1 X1))) → False) → False) → (∀X1 X2, (m1_subset_1 (k6_subset_1 X1 X2) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (k1_zfmisc_1 X1) (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → False) → (∀X2 X1, ((k3_xboole_0 X1 X2) = (k3_xboole_0 X2 X1) → False) → False) → (∀X2 X1, ((k3_setfam_1 X1 X2) = (k3_setfam_1 X2 X1) → False) → False) → (∀X2 X1, ((k2_tarski X1 X2) = (k2_tarski X2 X1) → False) → False) → ((m1_subset_1 esk2_0 (k1_zfmisc_1 (k1_bvfunc_2 esk1_0)) → False) → False) → (∀X1, (v1_eqrel_1 (esk38_1 X1) X1 → False) → False) → (∀X1, (v1_eqrel_1 (esk33_1 X1) X1 → False) → False) → (∀X1, (v1_eqrel_1 (k1_bvfunc_2 X1) X1 → False) → False) → (∀X1, (m1_eqrel_1 (esk31_1 X1) X1 → False) → False) → (∀X1, (m1_subset_1 (esk32_1 X1) X1 → False) → False) → (∀X1, ((k3_xboole_0 X1 X1) = X1 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → (∀X1, ((k6_subset_1 X1 k1_xboole_0) = X1 → False) → False) → (∀X1, ((k6_subset_1 k1_xboole_0 X1) = k1_xboole_0 → False) → False) → (∀X1, ((k3_xboole_0 X1 k1_xboole_0) = k1_xboole_0 → False) → False) → ((v2_bvfunc_2 esk2_0 esk1_0 → False) → False) → ((m1_eqrel_1 esk4_0 esk1_0 → False) → False) → ((m1_eqrel_1 esk3_0 esk1_0 → False) → False) → (((k2_tarski esk3_0 esk4_0) = esk2_0 → False) → False) → ((v1_funcop_1 esk34_0 → False) → False) → ((v1_funct_1 esk34_0 → False) → False) → ((v1_relat_1 esk34_0 → False) → False) → ((v1_xboole_0 esk35_0 → False) → False) → ((v1_xboole_0 o_0_0_xboole_0 → False) → False) → ((v1_xboole_0 k1_xboole_0 → False) → False) → ((o_0_0_xboole_0 = k1_xboole_0 → False) → False) → False