Theorem. (
t32_bcialg_5)
∀v7_bcialg_1 : set → prop, ∀v4_bcialg_1 : set → prop, ∀l2_bcialg_1 : set → prop, ∀esk23_4 : set → set → set → set → set, ∀v1_xboole_0 : set → prop, ∀k1_zfmisc_1 : set → set, ∀v1_xcmplx_0 : set → prop, ∀k2_xcmplx_0 : set → set → set, ∀k3_xcmplx_0 : set → set → set, ∀v3_xxreal_0 : set → prop, ∀r2_hidden : set → set → prop, ∀r1_tarski : set → set → prop, ∀v1_xxreal_0 : set → prop, ∀l1_struct_0 : set → prop, ∀v13_struct_0 : set → set → prop, ∀np__1 : set, ∀v7_struct_0 : set → prop, ∀v8_struct_0 : set → prop, ∀v1_ordinal1 : set → prop, ∀v2_ordinal1 : set → prop, ∀l2_struct_0 : set → prop, ∀v5_ordinal1 : set → prop, ∀v1_finset_1 : set → prop, ∀esk20_0 : set, ∀esk18_0 : set, ∀esk10_0 : set, ∀esk22_0 : set, ∀esk27_0 : set, ∀o_0_0_xboole_0 : set, ∀esk15_0 : set, ∀esk9_0 : set, ∀esk26_0 : set, ∀esk16_0 : set, ∀esk17_0 : set, ∀esk25_0 : set, ∀esk28_0 : set, ∀esk24_0 : set, ∀esk21_0 : set, ∀esk8_0 : set, ∀esk11_0 : set, ∀esk13_1 : set → set, ∀esk1_0 : set, ∀esk4_0 : set, ∀esk3_0 : set, ∀esk2_0 : set, ∀esk19_0 : set, ∀esk29_0 : set, ∀np__2 : set, ∀np__0 : set, ∀l1_bcialg_1 : set → prop, ∀k4_ordinal1 : set, ∀k1_xboole_0 : set, ∀v3_ordinal1 : set → prop, ∀v6_ordinal1 : set → prop, ∀k9_real_1 : set → set → set, ∀k4_xcmplx_0 : set → set, ∀v1_xreal_0 : set → prop, ∀v2_xxreal_0 : set → prop, ∀k6_xcmplx_0 : set → set → set, ∀r1_xxreal_0 : set → set → prop, ∀v7_ordinal1 : set → prop, ∀esk14_2 : set → set → set, ∀esk12_4 : set → set → set → set → set, ∀esk5_0 : set, ∀esk6_0 : set, ∀esk7_0 : set, ∀v3_bcialg_1 : set → prop, ∀v5_bcialg_1 : set → prop, ∀m1_subset_1 : set → set → prop, ∀v2_struct_0 : set → prop, ∀v8_bcialg_1 : set → prop, ∀k1_numbers : set, ∀k5_numbers : set, ∀m2_subset_1 : set → set → set → prop, ∀m1_bcialg_5 : set → set → set → set → set → prop, ∀k2_nat_1 : set → set → set, (∀X6 X4 X2 X3 X5 X1, (m1_bcialg_5 X1 (k2_nat_1 X2 X3) X4 X5 (k2_nat_1 X6 X3) → False) → v8_bcialg_1 X1 → m2_subset_1 X6 k1_numbers k5_numbers → m2_subset_1 X5 k1_numbers k5_numbers → m2_subset_1 X4 k1_numbers k5_numbers → m2_subset_1 X3 k1_numbers k5_numbers → m2_subset_1 X2 k1_numbers k5_numbers → m1_bcialg_5 X1 X2 X4 X5 X6 → False) → (∀X6 X4 X2 X3 X5 X1, (m1_bcialg_5 X1 X2 (k2_nat_1 X3 X4) (k2_nat_1 X5 X4) X6 → False) → v8_bcialg_1 X1 → m2_subset_1 X6 k1_numbers k5_numbers → m2_subset_1 X5 k1_numbers k5_numbers → m2_subset_1 X4 k1_numbers k5_numbers → m2_subset_1 X3 k1_numbers k5_numbers → m2_subset_1 X2 k1_numbers k5_numbers → m1_bcialg_5 X1 X2 X3 X5 X6 → False) → (∀X5 X2 X4 X3 X1, (m1_bcialg_5 X1 X2 X3 X3 X4 → False) → v8_bcialg_1 X1 → m2_subset_1 X5 k1_numbers k5_numbers → m2_subset_1 X4 k1_numbers k5_numbers → m2_subset_1 X3 k1_numbers k5_numbers → m2_subset_1 X2 k1_numbers k5_numbers → m1_bcialg_5 X1 X2 X3 X5 X4 → False) → (∀X5 X2 X4 X3 X1, (m1_bcialg_5 X1 X2 X3 X4 X2 → False) → v8_bcialg_1 X1 → m2_subset_1 X5 k1_numbers k5_numbers → m2_subset_1 X4 k1_numbers k5_numbers → m2_subset_1 X3 k1_numbers k5_numbers → m2_subset_1 X2 k1_numbers k5_numbers → m1_bcialg_5 X1 X5 X3 X4 X2 → False) → (∀X5 X3 X2 X4 X1, v2_struct_0 X1 → m1_subset_1 X5 k5_numbers → m1_subset_1 X4 k5_numbers → m1_subset_1 X3 k5_numbers → m1_subset_1 X2 k5_numbers → m1_bcialg_5 X1 X2 X3 X4 X5 → False) → (∀X5 X3 X2 X4 X1, (v7_bcialg_1 X1 → False) → m1_subset_1 X5 k5_numbers → m1_subset_1 X4 k5_numbers → m1_subset_1 X3 k5_numbers → m1_subset_1 X2 k5_numbers → m1_bcialg_5 X1 X2 X3 X4 X5 → False) → (∀X5 X3 X2 X4 X1, (v5_bcialg_1 X1 → False) → m1_subset_1 X5 k5_numbers → m1_subset_1 X4 k5_numbers → m1_subset_1 X3 k5_numbers → m1_subset_1 X2 k5_numbers → m1_bcialg_5 X1 X2 X3 X4 X5 → False) → (∀X5 X3 X2 X4 X1, (v4_bcialg_1 X1 → False) → m1_subset_1 X5 k5_numbers → m1_subset_1 X4 k5_numbers → m1_subset_1 X3 k5_numbers → m1_subset_1 X2 k5_numbers → m1_bcialg_5 X1 X2 X3 X4 X5 → False) → (∀X5 X3 X2 X4 X1, (v3_bcialg_1 X1 → False) → m1_subset_1 X5 k5_numbers → m1_subset_1 X4 k5_numbers → m1_subset_1 X3 k5_numbers → m1_subset_1 X2 k5_numbers → m1_bcialg_5 X1 X2 X3 X4 X5 → False) → (∀X5 X3 X2 X4 X1, (l2_bcialg_1 X1 → False) → m1_subset_1 X5 k5_numbers → m1_subset_1 X4 k5_numbers → m1_subset_1 X3 k5_numbers → m1_subset_1 X2 k5_numbers → m1_bcialg_5 X1 X2 X3 X4 X5 → False) → (v8_bcialg_1 esk7_0 → m1_bcialg_5 esk7_0 esk6_0 esk5_0 esk5_0 esk6_0 → False) → (∀X3 X2 X1 X4, (m1_bcialg_5 (esk23_4 X1 X2 X3 X4) X1 X2 X3 X4 → False) → m1_subset_1 X4 k5_numbers → m1_subset_1 X3 k5_numbers → m1_subset_1 X2 k5_numbers → m1_subset_1 X1 k5_numbers → False) → (∀X3 X2 X1 X4, (m1_bcialg_5 (esk12_4 X1 X2 X3 X4) X1 X2 X3 X4 → False) → m1_subset_1 X4 k5_numbers → m1_subset_1 X3 k5_numbers → m1_subset_1 X2 k5_numbers → m1_subset_1 X1 k5_numbers → False) → (∀X3 X1 X2 X4, m1_subset_1 X4 k5_numbers → m1_subset_1 X3 k5_numbers → m1_subset_1 X2 k5_numbers → m1_subset_1 X1 k5_numbers → v2_struct_0 (esk23_4 X1 X2 X3 X4) → False) → (∀X3 X2 X1 X4, (v7_bcialg_1 (esk23_4 X1 X2 X3 X4) → False) → m1_subset_1 X4 k5_numbers → m1_subset_1 X3 k5_numbers → m1_subset_1 X2 k5_numbers → m1_subset_1 X1 k5_numbers → False) → (∀X3 X2 X1 X4, (v5_bcialg_1 (esk23_4 X1 X2 X3 X4) → False) → m1_subset_1 X4 k5_numbers → m1_subset_1 X3 k5_numbers → m1_subset_1 X2 k5_numbers → m1_subset_1 X1 k5_numbers → False) → (∀X3 X2 X1 X4, (v4_bcialg_1 (esk23_4 X1 X2 X3 X4) → False) → m1_subset_1 X4 k5_numbers → m1_subset_1 X3 k5_numbers → m1_subset_1 X2 k5_numbers → m1_subset_1 X1 k5_numbers → False) → (∀X3 X2 X1 X4, (v3_bcialg_1 (esk23_4 X1 X2 X3 X4) → False) → m1_subset_1 X4 k5_numbers → m1_subset_1 X3 k5_numbers → m1_subset_1 X2 k5_numbers → m1_subset_1 X1 k5_numbers → False) → (∀X3 X2 X1 X4, (v8_bcialg_1 (esk23_4 X1 X2 X3 X4) → False) → m1_subset_1 X4 k5_numbers → m1_subset_1 X3 k5_numbers → m1_subset_1 X2 k5_numbers → m1_subset_1 X1 k5_numbers → False) → (∀X1 X3 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m1_subset_1 X3 X1 → False) → m2_subset_1 X3 X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1 X3, (v1_xboole_0 X3 → False) → (v1_xboole_0 X2 → False) → (m1_subset_1 X1 X3 → False) → m2_subset_1 X1 X2 X3 → m1_subset_1 X3 (k1_zfmisc_1 X2) → False) → (∀X1 X2 X3, ((k2_xcmplx_0 (k3_xcmplx_0 X1 X3) (k3_xcmplx_0 X2 X3)) = (k3_xcmplx_0 (k2_xcmplx_0 X1 X2) X3) → False) → v1_xcmplx_0 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m2_subset_1 (esk14_2 X1 X2) X1 X2 → False) → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1 X3, (v1_xboole_0 X3 → False) → (v1_xboole_0 X2 → False) → (m2_subset_1 X1 X3 X2 → False) → m1_subset_1 X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X1 X2, (m2_subset_1 (k6_xcmplx_0 X2 X1) k1_numbers k5_numbers → False) → v7_ordinal1 X2 → v7_ordinal1 X1 → r1_xxreal_0 X1 X2 → False) → (∀X2 X1, (m2_subset_1 (k2_nat_1 X1 X2) k1_numbers k5_numbers → False) → v7_ordinal1 X2 → m1_subset_1 X1 k5_numbers → False) → (∀X1 X2 X3, ((k3_xcmplx_0 (k3_xcmplx_0 X1 X2) X3) = (k3_xcmplx_0 X1 (k3_xcmplx_0 X2 X3)) → False) → v1_xcmplx_0 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2 X3, ((k2_xcmplx_0 (k2_xcmplx_0 X1 X2) X3) = (k2_xcmplx_0 X1 (k2_xcmplx_0 X2 X3)) → False) → v1_xcmplx_0 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v2_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k2_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v2_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k3_xcmplx_0 X1 X2) → False) → (∀X2 X1, (v3_xxreal_0 X1 → False) → (v2_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k6_xcmplx_0 X2 X1) → False) → (∀X2 X1, (v3_xxreal_0 X1 → False) → (v2_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k6_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v2_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k3_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v2_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k3_xcmplx_0 X2 X1) → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k3_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k2_xcmplx_0 X1 X2) → False) → (∀X2 X1, ((k2_xcmplx_0 (k4_xcmplx_0 X1) (k4_xcmplx_0 X2)) = (k4_xcmplx_0 (k2_xcmplx_0 X1 X2)) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → 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_xboole_0 X2 → False) → v7_ordinal1 X2 → v7_ordinal1 X1 → v1_xboole_0 (k2_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → v7_ordinal1 X2 → v7_ordinal1 X1 → v1_xboole_0 (k2_xcmplx_0 X2 X1) → False) → (∀X2 X1, (m1_subset_1 (k9_real_1 X1 X2) k1_numbers → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v2_xxreal_0 (k6_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v3_xxreal_0 (k6_xcmplx_0 X2 X1) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v3_xxreal_0 (k2_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v3_xxreal_0 (k2_xcmplx_0 X2 X1) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v2_xxreal_0 (k6_xcmplx_0 X2 X1) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v2_xxreal_0 (k2_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v2_xxreal_0 (k2_xcmplx_0 X2 X1) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v3_xxreal_0 (k6_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X2 X1, ((k9_real_1 X1 X2) = (k6_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, ((k2_nat_1 X1 X2) = (k2_xcmplx_0 X1 X2) → False) → v7_ordinal1 X2 → m1_subset_1 X1 k5_numbers → False) → (∀X2 X1, ((k2_nat_1 X1 X2) = (k2_nat_1 X2 X1) → False) → v7_ordinal1 X2 → m1_subset_1 X1 k5_numbers → False) → (∀X2 X1, ((k6_xcmplx_0 (k4_xcmplx_0 X1) (k4_xcmplx_0 X2)) = (k6_xcmplx_0 X2 X1) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, (v3_xxreal_0 X1 → False) → (v1_xboole_0 X1 → False) → (v2_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X2 X1, (v3_xxreal_0 X1 → False) → (v1_xboole_0 X2 → False) → (v2_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X2 X1, (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 X2 → r1_xxreal_0 X1 X2 → False) → (∀X2 X1, (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 X2 → r1_xxreal_0 X1 X2 → False) → (∀X2 X1, ((k2_xcmplx_0 X1 (k4_xcmplx_0 X2)) = (k6_xcmplx_0 X1 X2) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → 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, (v1_xreal_0 (k6_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (v1_xreal_0 (k3_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (v1_xreal_0 (k2_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (v7_ordinal1 (k3_xcmplx_0 X1 X2) → False) → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X2 X1, (v7_ordinal1 (k2_xcmplx_0 X1 X2) → False) → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X1 X2, (v6_ordinal1 X2 → False) → v6_ordinal1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (r1_xxreal_0 X2 X1 → False) → (r1_xxreal_0 X1 X2 → False) → v1_xxreal_0 X2 → v1_xxreal_0 X1 → False) → (∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → r1_tarski X1 X2 → False) → (∀X2 X1, ((k3_xcmplx_0 X1 X2) = (k3_xcmplx_0 X2 X1) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, ((k2_xcmplx_0 X1 X2) = (k2_xcmplx_0 X2 X1) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v2_xxreal_0 X1 → False) → (r1_xxreal_0 X1 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v2_xxreal_0 X1 → False) → (r1_xxreal_0 X1 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1, l1_struct_0 X1 → v2_struct_0 X1 → v13_struct_0 X1 np__1 → False) → (∀X1 X2, (v3_ordinal1 X2 → False) → v3_ordinal1 X1 → m1_subset_1 X2 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v13_struct_0 X1 np__1 → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v13_struct_0 X1 k1_xboole_0 → False) → (∀X1, (v2_struct_0 X1 → False) → (v13_struct_0 X1 np__1 → False) → l1_struct_0 X1 → v7_struct_0 X1 → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X2 X1, (r1_xxreal_0 X1 X1 → False) → v1_xxreal_0 X2 → v1_xxreal_0 X1 → False) → (∀X1, (v2_xxreal_0 X1 → False) → v1_xreal_0 X1 → v3_xxreal_0 (k4_xcmplx_0 X1) → False) → (∀X1, (v3_xxreal_0 X1 → False) → v1_xreal_0 X1 → v2_xxreal_0 (k4_xcmplx_0 X1) → False) → (∀X1, ((k3_xcmplx_0 X1 (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 X1) → False) → v1_xcmplx_0 X1 → False) → (∀X1, v3_xxreal_0 X1 → m1_subset_1 X1 k5_numbers → False) → (∀X1, (v13_struct_0 X1 k1_xboole_0 → False) → l1_struct_0 X1 → v2_struct_0 X1 → False) → (∀X1, (v1_xreal_0 X1 → False) → m1_subset_1 X1 k1_numbers → False) → (∀X1, (v7_ordinal1 X1 → False) → m1_subset_1 X1 k4_ordinal1 → False) → (∀X1, (v2_xxreal_0 X1 → False) → (v1_xcmplx_0 (k4_xcmplx_0 X1) → False) → v1_xreal_0 X1 → False) → (∀X1, (v3_xxreal_0 X1 → False) → (v1_xcmplx_0 (k4_xcmplx_0 X1) → False) → v1_xreal_0 X1 → False) → (∀X1, v1_xxreal_0 X1 → v1_xboole_0 X1 → v2_xxreal_0 X1 → False) → (∀X1, v1_xxreal_0 X1 → v1_xboole_0 X1 → v2_xxreal_0 X1 → False) → (∀X1, v3_xxreal_0 X1 → v1_xxreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1, v3_xxreal_0 X1 → v1_xxreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1, v3_xxreal_0 X1 → v1_xxreal_0 X1 → v1_xboole_0 X1 → False) → (∀X1, v3_xxreal_0 X1 → v1_xxreal_0 X1 → v1_xboole_0 X1 → False) → (∀X1, (v3_xxreal_0 X1 → False) → (v1_xboole_0 X1 → False) → (v2_xxreal_0 X1 → False) → v1_xxreal_0 X1 → False) → (∀X1, (v3_xxreal_0 X1 → False) → (v1_xboole_0 X1 → False) → (v2_xxreal_0 X1 → False) → v1_xxreal_0 X1 → False) → (∀X1, (v3_xxreal_0 X1 → False) → (v1_xboole_0 X1 → False) → (v2_xxreal_0 X1 → False) → v1_xxreal_0 X1 → False) → (∀X1, ((k3_xcmplx_0 np__1 X1) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → l1_struct_0 X1 → v7_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → l1_struct_0 X1 → v7_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → l1_struct_0 X1 → v2_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → l1_struct_0 X1 → v2_struct_0 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_ordinal1 X1 → v2_ordinal1 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v2_struct_0 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v2_struct_0 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v2_struct_0 X1 → False) → (∀X1, ((k4_xcmplx_0 (k4_xcmplx_0 X1)) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, (v1_xcmplx_0 (k4_xcmplx_0 X1) → False) → v1_xcmplx_0 X1 → False) → (∀X1, (v1_xcmplx_0 (k4_xcmplx_0 X1) → False) → v1_xreal_0 X1 → False) → (∀X1, (v1_xreal_0 (k4_xcmplx_0 X1) → False) → v1_xreal_0 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, v7_ordinal1 X1 → v3_xxreal_0 X1 → False) → (∀X1, (l2_struct_0 X1 → False) → l2_bcialg_1 X1 → False) → (∀X1, (l1_bcialg_1 X1 → False) → l2_bcialg_1 X1 → False) → (∀X1, (v5_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_xcmplx_0 X1 → False) → v1_xreal_0 X1 → False) → (∀X1, (v1_xxreal_0 X1 → False) → v1_xreal_0 X1 → False) → (∀X1, (v1_xxreal_0 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v1_xreal_0 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v2_ordinal1 X1 → False) → v3_ordinal1 X1 → False) → (∀X1, (v1_ordinal1 X1 → False) → v3_ordinal1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v7_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (l1_struct_0 X1 → False) → l2_struct_0 X1 → False) → (∀X1, (l1_struct_0 X1 → False) → l1_bcialg_1 X1 → False) → (∀X1, (v6_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (r1_xxreal_0 np__0 (k4_xcmplx_0 np__1) → False) → (r1_xxreal_0 np__1 (k4_xcmplx_0 np__1) → False) → (r1_xxreal_0 np__2 np__0 → False) → (r1_xxreal_0 np__2 np__1 → False) → (r1_xxreal_0 np__1 np__0 → False) → (v1_finset_1 k1_numbers → False) → (v1_xboole_0 esk29_0 → False) → (v1_xboole_0 esk20_0 → False) → (v1_xboole_0 esk19_0 → False) → (v1_xboole_0 np__2 → False) → (v1_xboole_0 k4_ordinal1 → False) → (v1_xboole_0 np__1 → False) → (v1_xboole_0 k1_numbers → False) → (v2_struct_0 esk18_0 → False) → ((m1_bcialg_5 esk7_0 esk1_0 esk2_0 esk3_0 esk4_0 → False) → False) → ((m2_subset_1 esk6_0 k1_numbers k5_numbers → False) → False) → ((m2_subset_1 esk5_0 k1_numbers k5_numbers → False) → False) → ((m2_subset_1 esk4_0 k1_numbers k5_numbers → False) → False) → ((m2_subset_1 esk3_0 k1_numbers k5_numbers → False) → False) → ((m2_subset_1 esk2_0 k1_numbers k5_numbers → False) → False) → ((m2_subset_1 esk1_0 k1_numbers k5_numbers → False) → False) → ((m2_subset_1 np__2 k1_numbers k5_numbers → False) → False) → ((m2_subset_1 np__0 k1_numbers k5_numbers → False) → False) → ((m2_subset_1 np__1 k1_numbers k5_numbers → False) → False) → (((k6_xcmplx_0 (k4_xcmplx_0 np__2) (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 np__1) → False) → False) → (((k2_xcmplx_0 (k4_xcmplx_0 np__1) (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 np__2) → False) → False) → ((r1_xxreal_0 (k4_xcmplx_0 np__1) (k4_xcmplx_0 np__1) → False) → False) → (((k6_xcmplx_0 (k4_xcmplx_0 np__2) (k4_xcmplx_0 np__2)) = np__0 → False) → False) → (((k6_xcmplx_0 (k4_xcmplx_0 np__1) (k4_xcmplx_0 np__2)) = np__1 → False) → False) → (((k6_xcmplx_0 (