Theorem. (
t4_closure1)
∀k15_pralg_1 : set → set → set, ∀esk5_3 : set → set → set → set, ∀esk37_3 : set → set → set → set, ∀v1_xboole_0 : set → prop, ∀m1_subset_1 : set → set → prop, ∀v2_relat_1 : set → prop, ∀v3_relat_1 : set → prop, ∀k1_relset_1 : set → set → set, ∀v2_finset_1 : set → prop, ∀v1_finset_1 : set → prop, ∀v1_subset_1 : set → set → prop, ∀r1_tarski : set → set → prop, ∀v4_funct_1 : set → prop, ∀v1_zfmisc_1 : set → prop, ∀esk31_1 : set → set, ∀esk28_1 : set → set, ∀esk14_1 : set → set, ∀k1_xboole_0 : set, ∀esk24_1 : set → set, ∀esk29_0 : set, ∀esk34_0 : set, ∀esk26_0 : set, ∀esk16_0 : set, ∀esk9_0 : set, ∀esk8_1 : set → set, ∀esk25_1 : set → set, ∀esk18_1 : set → set, ∀esk36_1 : set → set, ∀esk17_0 : set, ∀esk22_0 : set, ∀o_0_0_xboole_0 : set, ∀esk11_0 : set, ∀esk10_0 : set, ∀esk19_0 : set, ∀esk12_1 : set → set, ∀esk23_1 : set → set, ∀esk27_1 : set → set, ∀esk20_1 : set → set, ∀esk13_0 : set, ∀esk21_0 : set, ∀esk33_0 : set, ∀esk35_0 : set, ∀esk4_0 : set, ∀esk2_0 : set, ∀esk3_0 : set, ∀esk1_0 : set, ∀v2_funcop_1 : set → prop, ∀v3_funct_1 : set → prop, ∀esk15_1 : set → set, ∀esk30_1 : set → set, ∀esk32_1 : set → set, ∀v5_finset_1 : set → prop, ∀v2_funct_1 : set → prop, ∀k1_zfmisc_1 : set → set, ∀k2_funct_6 : set → set, ∀k16_pralg_1 : set → set → set → set, ∀v4_relat_1 : set → set → prop, ∀v1_partfun1 : set → set → prop, ∀esk7_3 : set → set → set → set, ∀r2_hidden : set → set → prop, ∀r1_pboole : set → set → set → prop, ∀k9_xtuple_0 : set → set, ∀k3_xboole_0 : set → set → set, ∀k1_funct_1 : set → set → set, ∀esk6_3 : set → set → set → set, ∀k3_relat_1 : set → set → set, ∀v1_funct_1 : set → prop, ∀v1_funcop_1 : set → prop, ∀v1_relat_1 : set → prop, ∀k8_pboole : set → set → set, (∀X2 X1 X3, (X1 = (k8_pboole X2 X3) → False) → (k9_xtuple_0 X1) = (k3_xboole_0 (k9_xtuple_0 X2) (k9_xtuple_0 X3)) → (k3_relat_1 (k1_funct_1 X2 (esk6_3 X2 X3 X1)) (k1_funct_1 X3 (esk6_3 X2 X3 X1))) = (k1_funct_1 X1 (esk6_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 → v1_funcop_1 X3 → v1_funcop_1 X2 → False) → (∀X3 X1 X2, (X1 = (k15_pralg_1 X2 X3) → False) → (k9_xtuple_0 X1) = (k9_xtuple_0 X2) → (k1_funct_1 (k1_funct_1 X2 (esk5_3 X2 X3 X1)) (k1_funct_1 X3 (esk5_3 X2 X3 X1))) = (k1_funct_1 X1 (esk5_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 → v1_funcop_1 X2 → False) → (∀X1 X2 X3, (r1_pboole X2 X1 X3 → False) → v1_relat_1 X3 → v1_relat_1 X1 → v1_funct_1 X3 → v1_funct_1 X1 → v4_relat_1 X3 X2 → v4_relat_1 X1 X2 → v1_partfun1 X3 X2 → v1_partfun1 X1 X2 → r2_hidden (k1_funct_1 X1 (esk7_3 X2 X1 X3)) (k1_funct_1 X3 (esk7_3 X2 X1 X3)) → False) → (∀X2 X1 X3, (X1 = X3 → False) → (k1_funct_1 X1 (esk37_3 X2 X1 X3)) = (k1_funct_1 X3 (esk37_3 X2 X1 X3)) → v1_relat_1 X3 → v1_relat_1 X1 → v1_funct_1 X3 → v1_funct_1 X1 → v4_relat_1 X3 X2 → v4_relat_1 X1 X2 → v1_partfun1 X3 X2 → v1_partfun1 X1 X2 → False) → (∀X2 X1 X3, (r1_pboole X1 X2 X3 → False) → (r2_hidden (esk7_3 X1 X2 X3) X1 → False) → v1_relat_1 X3 → v1_relat_1 X2 → v1_funct_1 X3 → v1_funct_1 X2 → v4_relat_1 X3 X1 → v4_relat_1 X2 X1 → v1_partfun1 X3 X1 → v1_partfun1 X2 X1 → False) → (∀X1 X2 X4 X3, (r2_hidden (k1_funct_1 X2 X4) (k1_funct_1 X3 X4) → False) → v1_relat_1 X3 → v1_relat_1 X2 → v1_funct_1 X3 → v1_funct_1 X2 → v4_relat_1 X3 X1 → v4_relat_1 X2 X1 → v1_partfun1 X3 X1 → v1_partfun1 X2 X1 → r2_hidden X4 X1 → r1_pboole X1 X2 X3 → False) → (∀X2 X1 X3, (X3 = (k8_pboole X1 X2) → False) → (r2_hidden (esk6_3 X1 X2 X3) (k9_xtuple_0 X3) → False) → (k9_xtuple_0 X3) = (k3_xboole_0 (k9_xtuple_0 X1) (k9_xtuple_0 X2)) → v1_relat_1 X3 → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_1 X1 → v1_funcop_1 X2 → v1_funcop_1 X1 → False) → (∀X1 X2 X3, (X2 = X3 → False) → (r2_hidden (esk37_3 X1 X2 X3) X1 → False) → v1_relat_1 X3 → v1_relat_1 X2 → v1_funct_1 X3 → v1_funct_1 X2 → v4_relat_1 X3 X1 → v4_relat_1 X2 X1 → v1_partfun1 X3 X1 → v1_partfun1 X2 X1 → False) → (∀X2 X1 X3, (v1_funct_1 (k16_pralg_1 X1 X2 X3) → False) → v1_relat_1 X3 → v1_relat_1 X2 → v1_funct_1 X3 → v1_funct_1 X2 → v1_funcop_1 X2 → v4_relat_1 X3 X1 → v4_relat_1 X2 X1 → v1_partfun1 X3 X1 → v1_partfun1 X2 X1 → False) → (∀X2 X1 X3, (v1_relat_1 (k16_pralg_1 X1 X2 X3) → False) → v1_relat_1 X3 → v1_relat_1 X2 → v1_funct_1 X3 → v1_funct_1 X2 → v1_funcop_1 X2 → v4_relat_1 X3 X1 → v4_relat_1 X2 X1 → v1_partfun1 X3 X1 → v1_partfun1 X2 X1 → False) → (∀X2 X1 X3, (X3 = (k15_pralg_1 X1 X2) → False) → (r2_hidden (esk5_3 X1 X2 X3) (k9_xtuple_0 X1) → False) → (k9_xtuple_0 X1) = (k9_xtuple_0 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 → v1_funcop_1 X1 → False) → (∀X1 X2 X3, ((k16_pralg_1 X2 X1 X3) = (k15_pralg_1 X1 X3) → False) → v1_relat_1 X3 → v1_relat_1 X1 → v1_funct_1 X3 → v1_funct_1 X1 → v1_funcop_1 X1 → v4_relat_1 X3 X2 → v4_relat_1 X1 X2 → v1_partfun1 X3 X2 → v1_partfun1 X1 X2 → False) → (∀X1 X3 X4 X2, ((k1_funct_1 X2 X1) = (k3_relat_1 (k1_funct_1 X3 X1) (k1_funct_1 X4 X1)) → False) → X2 = (k8_pboole X3 X4) → v1_relat_1 X4 → v1_relat_1 X3 → v1_relat_1 X2 → v1_funct_1 X4 → v1_funct_1 X3 → v1_funct_1 X2 → v1_funcop_1 X4 → v1_funcop_1 X3 → r2_hidden X1 (k9_xtuple_0 X2) → False) → (∀X1 X2 X4 X3, ((k1_funct_1 X3 X1) = (k1_funct_1 (k1_funct_1 X2 X1) (k1_funct_1 X4 X1)) → False) → X3 = (k15_pralg_1 X2 X4) → v1_relat_1 X4 → v1_relat_1 X3 → v1_relat_1 X2 → v1_funct_1 X4 → v1_funct_1 X3 → v1_funct_1 X2 → v1_funcop_1 X2 → r2_hidden X1 (k9_xtuple_0 X2) → False) → (∀X1 X3 X2, (v1_partfun1 (k8_pboole X1 X2) X3 → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_funcop_1 X2 → v1_funcop_1 X1 → v4_relat_1 X2 X3 → v4_relat_1 X1 X3 → v1_partfun1 X2 X3 → v1_partfun1 X1 X3 → False) → (∀X1 X3 X2, (v4_relat_1 (k8_pboole X1 X2) X3 → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_funcop_1 X2 → v1_funcop_1 X1 → v4_relat_1 X2 X3 → v4_relat_1 X1 X3 → v1_partfun1 X2 X3 → v1_partfun1 X1 X3 → False) → (∀X1 X3 X2, (v1_partfun1 (k15_pralg_1 X1 X2) X3 → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_funcop_1 X1 → v4_relat_1 X2 X3 → v4_relat_1 X1 X3 → v1_partfun1 X2 X3 → v1_partfun1 X1 X3 → False) → (∀X1 X3 X2, (v1_partfun1 (k15_pralg_1 X1 X2) X3 → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_funcop_1 X1 → v4_relat_1 X2 X3 → v4_relat_1 X1 X3 → v1_partfun1 X2 X3 → v1_partfun1 X1 X3 → False) → (∀X1 X3 X2, (v4_relat_1 (k15_pralg_1 X1 X2) X3 → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_funcop_1 X1 → v4_relat_1 X2 X3 → v4_relat_1 X1 X3 → v1_partfun1 X2 X3 → v1_partfun1 X1 X3 → False) → (∀X1 X3 X2, (v4_relat_1 (k15_pralg_1 X1 X2) X3 → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_funcop_1 X1 → v4_relat_1 X2 X3 → v4_relat_1 X1 X3 → v1_partfun1 X2 X3 → v1_partfun1 X1 X3 → False) → (∀X1 X3 X2, (v4_relat_1 (k15_pralg_1 X1 X2) X3 → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_funcop_1 X1 → v4_relat_1 X2 X3 → v4_relat_1 X1 X3 → v1_partfun1 X2 X3 → v1_partfun1 X1 X3 → False) → (∀X3 X2 X1, (v1_funcop_1 (k8_pboole X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_funcop_1 X2 → v1_funcop_1 X1 → v4_relat_1 X2 X3 → v4_relat_1 X1 X3 → v1_partfun1 X2 X3 → v1_partfun1 X1 X3 → False) → (∀X3 X2 X1, (v1_funct_1 (k8_pboole X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_funcop_1 X2 → v1_funcop_1 X1 → v4_relat_1 X2 X3 → v4_relat_1 X1 X3 → v1_partfun1 X2 X3 → v1_partfun1 X1 X3 → False) → (∀X3 X2 X1, (v1_relat_1 (k8_pboole X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_funcop_1 X2 → v1_funcop_1 X1 → v4_relat_1 X2 X3 → v4_relat_1 X1 X3 → v1_partfun1 X2 X3 → v1_partfun1 X1 X3 → False) → (∀X3 X2 X1, (v1_funct_1 (k15_pralg_1 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_funcop_1 X1 → v4_relat_1 X2 X3 → v4_relat_1 X1 X3 → v1_partfun1 X2 X3 → v1_partfun1 X1 X3 → False) → (∀X3 X2 X1, (v1_funct_1 (k15_pralg_1 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_funcop_1 X1 → v4_relat_1 X2 X3 → v4_relat_1 X1 X3 → v1_partfun1 X2 X3 → v1_partfun1 X1 X3 → False) → (∀X3 X2 X1, (v1_funct_1 (k15_pralg_1 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_funcop_1 X1 → v4_relat_1 X2 X3 → v4_relat_1 X1 X3 → v1_partfun1 X2 X3 → v1_partfun1 X1 X3 → False) → (∀X3 X2 X1, (v1_relat_1 (k15_pralg_1 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_funcop_1 X1 → v4_relat_1 X2 X3 → v4_relat_1 X1 X3 → v1_partfun1 X2 X3 → v1_partfun1 X1 X3 → False) → (∀X3 X2 X1, (v1_relat_1 (k15_pralg_1 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_funcop_1 X1 → v4_relat_1 X2 X3 → v4_relat_1 X1 X3 → v1_partfun1 X2 X3 → v1_partfun1 X1 X3 → False) → (∀X3 X2 X1, (v1_relat_1 (k15_pralg_1 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_funcop_1 X1 → v4_relat_1 X2 X3 → v4_relat_1 X1 X3 → v1_partfun1 X2 X3 → v1_partfun1 X1 X3 → False) → (∀X2 X4 X1 X3, ((k1_funct_1 (k2_funct_6 X1) X4) = (k9_xtuple_0 X3) → False) → X3 = (k1_funct_1 X1 X4) → v1_relat_1 X3 → v1_relat_1 X1 → v1_funct_1 X3 → v1_funct_1 X1 → v1_funcop_1 X1 → v4_relat_1 X1 X2 → v1_partfun1 X1 X2 → r2_hidden X4 X2 → False) → (∀X2 X3 X1, (v1_xboole_0 X1 → False) → v1_relat_1 X2 → v1_funct_1 X2 → v2_relat_1 X2 → v4_relat_1 X2 X1 → v1_partfun1 X2 X1 → m1_subset_1 X3 X1 → v1_xboole_0 (k1_funct_1 X2 X3) → False) → (∀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) → (∀X2 X1 X3, ((k9_xtuple_0 X1) = (k3_xboole_0 (k9_xtuple_0 X2) (k9_xtuple_0 X3)) → False) → X1 = (k8_pboole X2 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 → v1_funcop_1 X3 → v1_funcop_1 X2 → 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) → (∀X2 X1, (v1_partfun1 (k2_funct_6 X1) X2 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_funcop_1 X1 → v4_relat_1 X1 X2 → v1_partfun1 X1 X2 → False) → (∀X2 X1, (v4_relat_1 (k2_funct_6 X1) X2 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_funcop_1 X1 → v4_relat_1 X1 X2 → v1_partfun1 X1 X2 → False) → (∀X2 X1, (v4_relat_1 (k2_funct_6 X1) X2 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_funcop_1 X1 → v4_relat_1 X1 X2 → v1_partfun1 X1 X2 → False) → (∀X3 X1 X2, ((k9_xtuple_0 X1) = (k9_xtuple_0 X2) → False) → X1 = (k15_pralg_1 X2 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 → v1_funcop_1 X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v3_relat_1 X1 → v2_relat_1 X1 → v4_relat_1 X1 X2 → v1_partfun1 X1 X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v3_relat_1 X1 → v2_relat_1 X1 → v4_relat_1 X1 X2 → v1_partfun1 X1 X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v3_relat_1 X1 → v2_relat_1 X1 → v4_relat_1 X1 X2 → v1_partfun1 X1 X2 → False) → (∀X2 X1, (v1_funct_1 (k2_funct_6 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_funcop_1 X1 → v4_relat_1 X1 X2 → v1_partfun1 X1 X2 → False) → (∀X2 X1, (v1_funct_1 (k2_funct_6 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_funcop_1 X1 → v4_relat_1 X1 X2 → v1_partfun1 X1 X2 → False) → (∀X2 X1, (v1_relat_1 (k2_funct_6 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_funcop_1 X1 → v4_relat_1 X1 X2 → v1_partfun1 X1 X2 → False) → (∀X2 X1, (v1_relat_1 (k2_funct_6 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_funcop_1 X1 → v4_relat_1 X1 X2 → v1_partfun1 X1 X2 → False) → (∀X1 X3 X2, (v4_relat_1 (k3_relat_1 X1 X2) X3 → False) → v1_relat_1 X2 → v1_relat_1 X1 → v4_relat_1 X1 X3 → False) → (∀X1 X2 X3, (v4_relat_1 (k3_xboole_0 X1 X3) X2 → False) → v1_relat_1 X3 → v1_relat_1 X1 → v4_relat_1 X1 X2 → False) → (∀X1 X3 X2, (v4_relat_1 X3 X2 → False) → v1_relat_1 X1 → v4_relat_1 X1 X2 → m1_subset_1 X3 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (m1_subset_1 (k1_relset_1 X2 X1) (k1_zfmisc_1 X2) → False) → v1_relat_1 X1 → v4_relat_1 X1 X2 → False) → (∀X1 X2, (v2_funct_1 (k3_relat_1 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v2_funct_1 X2 → v2_funct_1 X1 → False) → (∀X1 X2, (v1_funcop_1 (k8_pboole X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_funcop_1 X2 → v1_funcop_1 X1 → False) → (∀X1 X2, (v1_funct_1 (k8_pboole X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_funcop_1 X2 → v1_funcop_1 X1 → False) → (∀X1 X2, (v1_funct_1 (k8_pboole X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_funcop_1 X2 → v1_funcop_1 X1 → False) → (∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v2_funct_1 X2 → v2_funct_1 X1 → False) → (∀X1 X2, (v1_relat_1 (k8_pboole X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_funcop_1 X2 → v1_funcop_1 X1 → False) → (∀X1 X2, (v1_relat_1 (k8_pboole X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_funcop_1 X2 → v1_funcop_1 X1 → False) → (∀X2 X1, (v2_finset_1 X1 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v3_relat_1 X1 → v4_relat_1 X1 X2 → v1_partfun1 X1 X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_xboole_0 X1 → v4_relat_1 X1 X2 → v1_partfun1 X1 X2 → False) → (∀X2 X1 X3, (m1_subset_1 X1 X3 → False) → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X1 X2, (v1_partfun1 X2 X1 → False) → (k1_relset_1 X1 X2) = X1 → v1_relat_1 X2 → v4_relat_1 X2 X1 → False) → (∀X2 X1, ((k1_relset_1 X2 X1) = X2 → False) → v1_relat_1 X1 → v4_relat_1 X1 X2 → v1_partfun1 X1 X2 → False) → (∀X3 X2 X1, (v1_relat_1 (k3_relat_1 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v4_relat_1 X1 X3 → False) → (∀X1 X2, (v1_finset_1 (k3_relat_1 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_finset_1 X1 → False) → (∀X1 X2, (v1_funcop_1 (k3_relat_1 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_funcop_1 X2 → False) → (∀X1 X2, (v1_funct_1 (k15_pralg_1 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_funcop_1 X1 → False) → (∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_finset_1 X1 → False) → (∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_funcop_1 X2 → False) → (∀X1 X2, (v1_relat_1 (k15_pralg_1 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_funcop_1 X1 → False) → (∀X2 X1, v1_xboole_0 X1 → v1_subset_1 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X1 X2, (v1_funct_1 (k3_relat_1 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v1_subset_1 X2 X1 → False) → v1_xboole_0 X2 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v1_subset_1 X2 X1 → False) → v1_xboole_0 X2 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v2_relat_1 (k3_relat_1 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v2_relat_1 X2 → False) → (∀X2 X1, (v1_finset_1 (k1_funct_1 X1 X2) → False) → v1_relat_1 X1 → v1_funct_1 X1 → v2_finset_1 X1 → False) → (∀X2 X1, (v1_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) → (∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v2_relat_1 X2 → False) → (∀X2 X1, (v1_relat_1 (k1_funct_1 X1 X2) → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_funcop_1 X1 → False) → (∀X1 X2, (v1_funct_1 X2 → False) → v1_relat_1 X1 → v1_funct_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, ((k1_relset_1 X2 X1) = (k9_xtuple_0 X1) → False) → v1_relat_1 X1 → v4_relat_1 X1 X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden X1 X2 → False) → (∀X1 X2, (v1_xboole_0 (k3_relat_1 X1 X2) → False) → v1_relat_1 X1 → v1_xboole_0 X2 → False) → (∀X2 X1, (v1_xboole_0 (k3_relat_1 X1 X2) → False) → v1_relat_1 X2 → v1_xboole_0 X1 → False) → (∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2) → False) → v1_relat_1 X1 → v1_xboole_0 X2 → False) → (∀X2 X1, (v1_relat_1 (k3_relat_1 X1 X2) → False) → v1_relat_1 X2 → v1_xboole_0 X1 → False) → (∀X1 X2, (v4_funct_1 X2 → False) → v4_funct_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v5_finset_1 X2 → False) → v5_finset_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_zfmisc_1 X2 → False) → v1_zfmisc_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_finset_1 X2 → False) → v1_finset_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_relat_1 X2 → False) → v1_relat_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → r1_tarski X1 X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → v1_relat_1 X1 → v1_xboole_0 X2 → v4_relat_1 X1 X2 → False) → (∀X2 X1, (v1_finset_1 (k3_xboole_0 X1 X2) → False) → v1_finset_1 X1 → False) → (∀X2 X1, (v1_finset_1 (k3_xboole_0 X2 X1) → False) → v1_finset_1 X1 → False) → (∀X2 X1, (v1_relat_1 (k3_xboole_0 X1 X2) → False) → v1_relat_1 X1 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_zfmisc_1 (k9_xtuple_0 X1) → False) → (∀X1 X2, (v1_finset_1 X2 → False) → v5_finset_1 X1 → m1_subset_1 X2 X1 → False) → (∀X2 X1, (v1_funct_1 X1 → False) → v4_funct_1 X2 → m1_subset_1 X1 X2 → False) → (∀X2 X1, (v1_relat_1 X1 → False) → v4_funct_1 X2 → m1_subset_1 X1 X2 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (m1_subset_1 (esk32_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (m1_subset_1 (esk31_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk30_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk28_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk15_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk14_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_relat_1 X1 → v1_xboole_0 (k9_xtuple_0 X1) → False) → (∀X1, (v3_funct_1 X1 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_zfmisc_1 X1 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_zfmisc_1 X1 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_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, (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, (v1_xboole_0 X1 → False) → (v1_subset_1 (esk28_1 X1) X1 → False) → False) → (∀X1, (v1_zfmisc_1 (k9_xtuple_0 X1) → False) → v1_relat_1 X1 → v1_zfmisc_1 X1 → False) → (∀X1, (v1_finset_1 (k9_xtuple_0 X1) → False) → v1_relat_1 X1 → v1_finset_1 X1 → False) → (∀X1, (v1_funct_1 (k2_funct_6 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_zfmisc_1 X1 → False) → v1_zfmisc_1 (esk32_1 X1) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_zfmisc_1 (esk31_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk30_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk15_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk14_1 X1) → False) → (∀X1, (v2_relat_1 X1 → False) → v1_relat_1 X1 → v1_xboole_0 X1 → False) → (∀X1, (v2_finset_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, (v5_finset_1 (k1_zfmisc_1 X1) → False) → v1_finset_1 X1 → False) → (∀X1, (v1_finset_1 (k1_zfmisc_1 X1) → False) → v1_finset_1 X1 → False) → (∀X1, (v1_xboole_0 (k9_xtuple_0 X1) → False) → v1_xboole_0 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (v1_finset_1 (esk32_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_zfmisc_1 (esk30_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_finset_1 (esk15_1 X1) → False) → False) → (∀X1, (v4_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v5_finset_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v1_zfmisc_1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v1_zfmisc_1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_relat_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → ((k16_pralg_1 esk1_0 esk2_0 (k16_pralg_1 esk1_0 esk3_0 esk4_0)) = (k15_pralg_1 (k8_pboole esk3_0 esk2_0) esk4_0) → False) → (∀X1, v1_subset_1 (esk24_1 X1) X1 → False) → (∀X1, v1_xboole_0 (k1_zfmisc_1 X1) → False) → (v3_funct_1 esk29_0 → False) → (v1_xboole_0 esk35_0 → False) → (v1_xboole_0 esk34_0 → False) → (v1_xboole_0 esk33_0 → False) → (v1_xboole_0 esk26_0 → False) → (v1_xboole_0 esk21_0 → False) → (v1_xboole_0 esk16_0 → False) → (v1_xboole_0 esk13_0 → False) → (v1_xboole_0 esk9_0 → False) → ((r1_pboole esk1_0 esk4_0 (k2_funct_6 esk3_0) → False) → False) → (∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2) → False) → False) → (∀X2 X1, ((k3_xboole_0 X1 X2) = (k3_xboole_0 X2 X1) → False) → False) → (∀X1, (m1_subset_1 (esk24_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk20_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk8_1 X1) X1 → False) → False) → (∀X1, (v1_partfun1 (esk27_1 X1) X1 → False) → False) → (∀X1, (v1_partfun1 (esk25_1 X1) X1 → False) → False) → (∀X1, (v1_partfun1 (esk23_1 X1) X1 → False) → False) → (∀X1, (v1_partfun1 (esk18_1 X1) X1 → False) → False) → (∀X1, (v1_partfun1 (