Theorem. (
t57_bciideal)
∀k4_struct_0 : set → set, ∀esk31_1 : set → set, ∀esk32_1 : set → set, ∀esk33_1 : set → set, ∀epred1_1 : set → prop, ∀esk3_1 : set → set, ∀esk5_1 : set → set, ∀esk4_1 : set → set, ∀m4_bciideal : set → set → prop, ∀esk30_2 : set → set → set, ∀esk29_2 : set → set → set, ∀k1_zfmisc_1 : set → set, ∀k2_zfmisc_1 : set → set → set, ∀m2_subset_1 : set → set → set → prop, ∀esk6_1 : set → set, ∀esk14_2 : set → set → set, ∀k2_bcialg_1 : set → set → set, ∀esk23_1 : set → set, ∀v5_bcialg_2 : set → set → prop, ∀esk13_1 : set → set, ∀esk7_1 : set → set, ∀esk24_1 : set → set, ∀r1_tarski : set → set → prop, ∀v9_struct_0 : set → set → prop, ∀esk18_1 : set → set, ∀l2_struct_0 : set → prop, ∀v13_struct_0 : set → set → prop, ∀np__1 : set, ∀k1_xboole_0 : set, ∀v1_zfmisc_1 : set → prop, ∀esk20_0 : set, ∀esk12_1 : set → set, ∀o_0_0_xboole_0 : set, ∀esk11_0 : set, ∀esk10_0 : set, ∀esk9_0 : set, ∀esk8_0 : set, ∀v1_funct_1 : set → prop, ∀v1_finset_1 : set → prop, ∀v8_struct_0 : set → prop, ∀esk17_1 : set → set, ∀esk21_1 : set → set, ∀l1_struct_0 : set → prop, ∀esk22_1 : set → set, ∀v7_struct_0 : set → prop, ∀esk1_0 : set, ∀esk2_0 : set, ∀v10_bcialg_1 : set → set → prop, ∀v1_bcialg_2 : set → set → prop, ∀esk19_1 : set → set, ∀esk15_1 : set → set, ∀esk16_1 : set → set, ∀v1_funct_2 : set → set → set → prop, ∀v1_xboole_0 : set → prop, ∀u1_bcialg_1 : set → set, ∀k5_binop_1 : set → set → set → set → set, ∀l1_bcialg_1 : set → prop, ∀r1_bcialg_1 : set → set → set → prop, ∀esk28_2 : set → set → set, ∀esk27_2 : set → set → set, ∀m3_bciideal : set → set → prop, ∀m1_subset_1 : set → set → prop, ∀u1_struct_0 : set → set, ∀v3_bciideal : set → set → prop, ∀v4_bcialg_1 : set → prop, ∀v7_bcialg_1 : set → prop, ∀l2_bcialg_1 : set → prop, ∀esk26_2 : set → set → set, ∀esk25_2 : set → set → set, ∀k1_bcialg_1 : set → set → set → set, ∀r2_hidden : set → set → prop, ∀m2_bcialg_1 : set → set → prop, ∀v8_bcialg_1 : set → prop, ∀v5_bcialg_1 : set → prop, ∀v3_bcialg_1 : set → prop, ∀v2_struct_0 : set → prop, (∀X1 X2, (v2_struct_0 X2 → False) → (v3_bciideal X1 X2 → False) → v3_bcialg_1 X2 → v4_bcialg_1 X2 → v5_bcialg_1 X2 → v7_bcialg_1 X2 → v8_bcialg_1 X2 → l2_bcialg_1 X2 → m2_bcialg_1 X1 X2 → r2_hidden (k1_bcialg_1 X2 (esk25_2 X2 X1) (k1_bcialg_1 X2 (esk26_2 X2 X1) (k1_bcialg_1 X2 (esk26_2 X2 X1) (esk25_2 X2 X1)))) X1 → False) → (∀X1, (k1_bcialg_1 X1 (k1_bcialg_1 X1 (esk31_1 X1) (k1_bcialg_1 X1 (esk31_1 X1) (esk32_1 X1))) (esk32_1 X1)) = (k4_struct_0 X1) → (k1_bcialg_1 X1 (k1_bcialg_1 X1 (k1_bcialg_1 X1 (esk31_1 X1) (esk32_1 X1)) (k1_bcialg_1 X1 (esk31_1 X1) (esk33_1 X1))) (k1_bcialg_1 X1 (esk33_1 X1) (esk32_1 X1))) = (k4_struct_0 X1) → v2_struct_0 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → epred1_1 X1 → False) → (∀X1, (l2_bcialg_1 X1 → False) → (k1_bcialg_1 X1 (k1_bcialg_1 X1 (esk31_1 X1) (k1_bcialg_1 X1 (esk31_1 X1) (esk32_1 X1))) (esk32_1 X1)) = (k4_struct_0 X1) → (k1_bcialg_1 X1 (k1_bcialg_1 X1 (k1_bcialg_1 X1 (esk31_1 X1) (esk32_1 X1)) (k1_bcialg_1 X1 (esk31_1 X1) (esk33_1 X1))) (k1_bcialg_1 X1 (esk33_1 X1) (esk32_1 X1))) = (k4_struct_0 X1) → v5_bcialg_1 X1 → v7_bcialg_1 X1 → epred1_1 X1 → False) → (∀X1, (v4_bcialg_1 X1 → False) → (k1_bcialg_1 X1 (k1_bcialg_1 X1 (esk31_1 X1) (k1_bcialg_1 X1 (esk31_1 X1) (esk32_1 X1))) (esk32_1 X1)) = (k4_struct_0 X1) → (k1_bcialg_1 X1 (k1_bcialg_1 X1 (k1_bcialg_1 X1 (esk31_1 X1) (esk32_1 X1)) (k1_bcialg_1 X1 (esk31_1 X1) (esk33_1 X1))) (k1_bcialg_1 X1 (esk33_1 X1) (esk32_1 X1))) = (k4_struct_0 X1) → v5_bcialg_1 X1 → v7_bcialg_1 X1 → epred1_1 X1 → False) → (∀X1, (v3_bcialg_1 X1 → False) → (k1_bcialg_1 X1 (k1_bcialg_1 X1 (esk31_1 X1) (k1_bcialg_1 X1 (esk31_1 X1) (esk32_1 X1))) (esk32_1 X1)) = (k4_struct_0 X1) → (k1_bcialg_1 X1 (k1_bcialg_1 X1 (k1_bcialg_1 X1 (esk31_1 X1) (esk32_1 X1)) (k1_bcialg_1 X1 (esk31_1 X1) (esk33_1 X1))) (k1_bcialg_1 X1 (esk33_1 X1) (esk32_1 X1))) = (k4_struct_0 X1) → v5_bcialg_1 X1 → v7_bcialg_1 X1 → epred1_1 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v3_bcialg_1 X1 → False) → (k1_bcialg_1 X1 (k1_bcialg_1 X1 (k1_bcialg_1 X1 (esk3_1 X1) (esk4_1 X1)) (k1_bcialg_1 X1 (esk5_1 X1) (esk4_1 X1))) (k1_bcialg_1 X1 (esk3_1 X1) (esk5_1 X1))) = (k4_struct_0 X1) → l2_bcialg_1 X1 → False) → (∀X1 X4 X3 X2, (v2_struct_0 X2 → False) → (r2_hidden (k1_bcialg_1 X2 X3 (k1_bcialg_1 X2 X4 (k1_bcialg_1 X2 X4 X3))) X1 → False) → v3_bcialg_1 X2 → v4_bcialg_1 X2 → v5_bcialg_1 X2 → v7_bcialg_1 X2 → v8_bcialg_1 X2 → l2_bcialg_1 X2 → m2_bcialg_1 X1 X2 → v3_bciideal X1 X2 → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X3 (u1_struct_0 X2) → r2_hidden (k1_bcialg_1 X2 X3 X4) X1 → False) → (∀X4 X3 X2 X1, ((k1_bcialg_1 X1 (k1_bcialg_1 X1 (k1_bcialg_1 X1 X2 X3) (k1_bcialg_1 X1 X2 X4)) (k1_bcialg_1 X1 X4 X3)) = (k4_struct_0 X1) → False) → (v2_struct_0 X1 → False) → v3_bcialg_1 X1 → v4_bcialg_1 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → l2_bcialg_1 X1 → epred1_1 X1 → m1_subset_1 X4 (u1_struct_0 X1) → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X4 X3 X2 X1, ((k1_bcialg_1 X1 (k1_bcialg_1 X1 (k1_bcialg_1 X1 X2 X3) (k1_bcialg_1 X1 X4 X3)) (k1_bcialg_1 X1 X2 X4)) = (k4_struct_0 X1) → False) → (v2_struct_0 X1 → False) → v3_bcialg_1 X1 → l2_bcialg_1 X1 → m1_subset_1 X4 (u1_struct_0 X1) → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X1 X4 X3 X2, (v2_struct_0 X2 → False) → (r2_hidden (k1_bcialg_1 X2 X3 X4) X1 → False) → v3_bcialg_1 X2 → v4_bcialg_1 X2 → v5_bcialg_1 X2 → v7_bcialg_1 X2 → v8_bcialg_1 X2 → l2_bcialg_1 X2 → m2_bcialg_1 X1 X2 → m4_bciideal X1 X2 → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X3 (u1_struct_0 X2) → r2_hidden (k1_bcialg_1 X2 (k1_bcialg_1 X2 X3 X4) X4) X1 → False) → (∀X1 X3 X4 X2, (v2_struct_0 X2 → False) → (r2_hidden X3 X1 → False) → v3_bcialg_1 X2 → v4_bcialg_1 X2 → v5_bcialg_1 X2 → v7_bcialg_1 X2 → v8_bcialg_1 X2 → l2_bcialg_1 X2 → m2_bcialg_1 X1 X2 → m3_bciideal X1 X2 → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X3 (u1_struct_0 X2) → r2_hidden (k1_bcialg_1 X2 X3 (k1_bcialg_1 X2 X4 X3)) X1 → False) → (∀X2 X1, (v2_struct_0 X1 → False) → (m4_bciideal X2 X1 → False) → (r2_hidden (k1_bcialg_1 X1 (k1_bcialg_1 X1 (esk29_2 X1 X2) (esk30_2 X1 X2)) (esk30_2 X1 X2)) X2 → False) → v3_bcialg_1 X1 → v4_bcialg_1 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → v8_bcialg_1 X1 → l2_bcialg_1 X1 → m2_bcialg_1 X2 X1 → False) → (∀X2 X1, (v2_struct_0 X1 → False) → (m3_bciideal X2 X1 → False) → (r2_hidden (k1_bcialg_1 X1 (esk27_2 X1 X2) (k1_bcialg_1 X1 (esk28_2 X1 X2) (esk27_2 X1 X2))) X2 → False) → v3_bcialg_1 X1 → v4_bcialg_1 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → v8_bcialg_1 X1 → l2_bcialg_1 X1 → m2_bcialg_1 X2 X1 → False) → (∀X4 X2 X3 X1, ((k1_bcialg_1 X1 (k1_bcialg_1 X1 X2 (k1_bcialg_1 X1 X2 X3)) X3) = (k4_struct_0 X1) → False) → (v2_struct_0 X1 → False) → v3_bcialg_1 X1 → v4_bcialg_1 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → l2_bcialg_1 X1 → epred1_1 X1 → m1_subset_1 X4 (u1_struct_0 X1) → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X4 X1, (v2_struct_0 X1 → False) → (r1_bcialg_1 X1 (k1_bcialg_1 X1 X2 X3) (k1_bcialg_1 X1 X2 X4) → False) → v3_bcialg_1 X1 → v4_bcialg_1 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → l2_bcialg_1 X1 → r1_bcialg_1 X1 X4 X3 → m1_subset_1 X4 (u1_struct_0 X1) → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X3 X4 X2 X1, (v2_struct_0 X1 → False) → (r1_bcialg_1 X1 (k1_bcialg_1 X1 X2 X3) (k1_bcialg_1 X1 X4 X3) → False) → v3_bcialg_1 X1 → v4_bcialg_1 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → l2_bcialg_1 X1 → r1_bcialg_1 X1 X2 X4 → m1_subset_1 X4 (u1_struct_0 X1) → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X4 X1, ((k1_bcialg_1 X1 (k1_bcialg_1 X1 X2 X3) X4) = (k1_bcialg_1 X1 (k1_bcialg_1 X1 X2 X4) X3) → False) → (v2_struct_0 X1 → False) → v3_bcialg_1 X1 → v4_bcialg_1 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → l2_bcialg_1 X1 → m1_subset_1 X4 (u1_struct_0 X1) → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X1, (v2_struct_0 X1 → False) → (m4_bciideal X2 X1 → False) → v3_bcialg_1 X1 → v4_bcialg_1 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → v8_bcialg_1 X1 → l2_bcialg_1 X1 → m2_bcialg_1 X2 X1 → r2_hidden (k1_bcialg_1 X1 (esk29_2 X1 X2) (esk30_2 X1 X2)) X2 → False) → (∀X2 X3 X1, ((k5_binop_1 (u1_struct_0 X1) (u1_bcialg_1 X1) X2 X3) = (k1_bcialg_1 X1 X2 X3) → False) → l1_bcialg_1 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X1, (m1_subset_1 (u1_bcialg_1 X1) (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)) (u1_struct_0 X1))) → False) → l1_bcialg_1 X1 → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (v3_bciideal X1 X2 → False) → (r2_hidden (k1_bcialg_1 X2 (esk25_2 X2 X1) (esk26_2 X2 X1)) X1 → False) → v3_bcialg_1 X2 → v4_bcialg_1 X2 → v5_bcialg_1 X2 → v7_bcialg_1 X2 → v8_bcialg_1 X2 → l2_bcialg_1 X2 → m2_bcialg_1 X1 X2 → False) → (∀X2 X3 X4 X1, (v2_struct_0 X1 → False) → (r2_hidden X3 X2 → False) → v3_bcialg_1 X1 → v4_bcialg_1 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → l2_bcialg_1 X1 → m2_bcialg_1 X2 X1 → r1_bcialg_1 X1 X3 X4 → m1_subset_1 X3 (u1_struct_0 X1) → m2_subset_1 X4 (u1_struct_0 X1) X2 → False) → (∀X3 X2 X1, (v2_struct_0 X1 → False) → (r1_bcialg_1 X1 X2 X3 → False) → (k1_bcialg_1 X1 X2 X3) = (k4_struct_0 X1) → l2_bcialg_1 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X3 X2 X1, ((k1_bcialg_1 X1 X2 X3) = (k4_struct_0 X1) → False) → (v2_struct_0 X1 → False) → l2_bcialg_1 X1 → r1_bcialg_1 X1 X2 X3 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, (m1_subset_1 (k1_bcialg_1 X1 X2 X3) (u1_struct_0 X1) → False) → l1_bcialg_1 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X1, (v2_struct_0 X1 → False) → (m3_bciideal X2 X1 → False) → v3_bcialg_1 X1 → v4_bcialg_1 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → v8_bcialg_1 X1 → l2_bcialg_1 X1 → m2_bcialg_1 X2 X1 → r2_hidden (esk27_2 X1 X2) X2 → 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) → (∀X2 X1, ((k1_bcialg_1 X1 X2 (k4_struct_0 X1)) = X2 → False) → (v2_struct_0 X1 → False) → v3_bcialg_1 X1 → v4_bcialg_1 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → l2_bcialg_1 X1 → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X1, (v2_struct_0 X1 → False) → (m4_bciideal X2 X1 → False) → (m1_subset_1 (esk30_2 X1 X2) (u1_struct_0 X1) → False) → v3_bcialg_1 X1 → v4_bcialg_1 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → v8_bcialg_1 X1 → l2_bcialg_1 X1 → m2_bcialg_1 X2 X1 → False) → (∀X2 X1, (v2_struct_0 X1 → False) → (m4_bciideal X2 X1 → False) → (m1_subset_1 (esk29_2 X1 X2) (u1_struct_0 X1) → False) → v3_bcialg_1 X1 → v4_bcialg_1 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → v8_bcialg_1 X1 → l2_bcialg_1 X1 → m2_bcialg_1 X2 X1 → False) → (∀X2 X1, (v2_struct_0 X1 → False) → (m3_bciideal X2 X1 → False) → (m1_subset_1 (esk28_2 X1 X2) (u1_struct_0 X1) → False) → v3_bcialg_1 X1 → v4_bcialg_1 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → v8_bcialg_1 X1 → l2_bcialg_1 X1 → m2_bcialg_1 X2 X1 → False) → (∀X2 X1, (v2_struct_0 X1 → False) → (m3_bciideal X2 X1 → False) → (m1_subset_1 (esk27_2 X1 X2) (u1_struct_0 X1) → False) → v3_bcialg_1 X1 → v4_bcialg_1 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → v8_bcialg_1 X1 → l2_bcialg_1 X1 → m2_bcialg_1 X2 X1 → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (v3_bciideal X1 X2 → False) → (m1_subset_1 (esk26_2 X2 X1) (u1_struct_0 X2) → False) → v3_bcialg_1 X2 → v4_bcialg_1 X2 → v5_bcialg_1 X2 → v7_bcialg_1 X2 → v8_bcialg_1 X2 → l2_bcialg_1 X2 → m2_bcialg_1 X1 X2 → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (v3_bciideal X1 X2 → False) → (m1_subset_1 (esk25_2 X2 X1) (u1_struct_0 X2) → False) → v3_bcialg_1 X2 → v4_bcialg_1 X2 → v5_bcialg_1 X2 → v7_bcialg_1 X2 → v8_bcialg_1 X2 → l2_bcialg_1 X2 → m2_bcialg_1 X1 X2 → False) → (∀X1, (v2_struct_0 X1 → False) → (v5_bcialg_1 X1 → False) → (k1_bcialg_1 X1 (esk6_1 X1) (esk6_1 X1)) = (k4_struct_0 X1) → l2_bcialg_1 X1 → False) → (∀X1, (v1_funct_2 (u1_bcialg_1 X1) (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)) (u1_struct_0 X1) → False) → l1_bcialg_1 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) → (∀X2 X1, ((k1_bcialg_1 X1 (k4_struct_0 X1) X2) = (k2_bcialg_1 X1 X2) → False) → (v2_struct_0 X1 → False) → l2_bcialg_1 X1 → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X1, ((k1_bcialg_1 X1 X2 X2) = (k4_struct_0 X1) → False) → (v2_struct_0 X1 → False) → v5_bcialg_1 X1 → l2_bcialg_1 X1 → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → v3_bcialg_1 X2 → v4_bcialg_1 X2 → v5_bcialg_1 X2 → v7_bcialg_1 X2 → v8_bcialg_1 X2 → l2_bcialg_1 X2 → m4_bciideal X1 X2 → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → v3_bcialg_1 X2 → v4_bcialg_1 X2 → v5_bcialg_1 X2 → v7_bcialg_1 X2 → v8_bcialg_1 X2 → l2_bcialg_1 X2 → m3_bciideal X1 X2 → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → v3_bcialg_1 X2 → v4_bcialg_1 X2 → v5_bcialg_1 X2 → v7_bcialg_1 X2 → l2_bcialg_1 X2 → m2_bcialg_1 X1 X2 → False) → (∀X2 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (k2_bcialg_1 X1 X2) (u1_struct_0 X1) → False) → l2_bcialg_1 X1 → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X1 X2, (v2_struct_0 X2 → False) → v3_bcialg_1 X2 → v4_bcialg_1 X2 → v5_bcialg_1 X2 → v7_bcialg_1 X2 → v8_bcialg_1 X2 → l2_bcialg_1 X2 → v1_xboole_0 X1 → m4_bciideal X1 X2 → False) → (∀X1 X2, (v2_struct_0 X2 → False) → v3_bcialg_1 X2 → v4_bcialg_1 X2 → v5_bcialg_1 X2 → v7_bcialg_1 X2 → v8_bcialg_1 X2 → l2_bcialg_1 X2 → v1_xboole_0 X1 → m3_bciideal X1 X2 → False) → (∀X1 X2, (v2_struct_0 X2 → False) → v3_bcialg_1 X2 → v4_bcialg_1 X2 → v5_bcialg_1 X2 → v7_bcialg_1 X2 → l2_bcialg_1 X2 → v1_xboole_0 X1 → m2_bcialg_1 X1 X2 → False) → (∀X2 X1, ((k2_bcialg_1 X1 X2) = (k4_struct_0 X1) → False) → (v2_struct_0 X1 → False) → v8_bcialg_1 X1 → l2_bcialg_1 X1 → m1_subset_1 X2 (u1_struct_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, (v2_struct_0 X1 → False) → (m4_bciideal (esk16_1 X1) X1 → False) → v3_bcialg_1 X1 → v4_bcialg_1 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → v8_bcialg_1 X1 → l2_bcialg_1 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v3_bciideal (esk23_1 X1) X1 → False) → v3_bcialg_1 X1 → v4_bcialg_1 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → v8_bcialg_1 X1 → l2_bcialg_1 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m3_bciideal (esk15_1 X1) X1 → False) → v3_bcialg_1 X1 → v4_bcialg_1 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → v8_bcialg_1 X1 → l2_bcialg_1 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m2_bcialg_1 (esk23_1 X1) X1 → False) → v3_bcialg_1 X1 → v4_bcialg_1 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → v8_bcialg_1 X1 → l2_bcialg_1 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk19_1 X1) (u1_struct_0 X1) → False) → v3_bcialg_1 X1 → v4_bcialg_1 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → l2_bcialg_1 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → v3_bcialg_1 X1 → v4_bcialg_1 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → v8_bcialg_1 X1 → l2_bcialg_1 X1 → v1_xboole_0 (esk23_1 X1) → False) → (∀X2 X1 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X1, (v2_struct_0 X1 → False) → (v5_bcialg_2 (k4_struct_0 X1) X1 → False) → v3_bcialg_1 X1 → v4_bcialg_1 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → l2_bcialg_1 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_bcialg_2 (esk19_1 X1) X1 → False) → v3_bcialg_1 X1 → v4_bcialg_1 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → l2_bcialg_1 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_bcialg_2 (k4_struct_0 X1) X1 → False) → v3_bcialg_1 X1 → v4_bcialg_1 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → l2_bcialg_1 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v10_bcialg_1 (k4_struct_0 X1) X1 → False) → v3_bcialg_1 X1 → v4_bcialg_1 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → l2_bcialg_1 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m2_bcialg_1 (esk13_1 X1) X1 → False) → v3_bcialg_1 X1 → v4_bcialg_1 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → l2_bcialg_1 X1 → False) → (∀X1, (m1_subset_1 (esk33_1 X1) (u1_struct_0 X1) → False) → v2_struct_0 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → epred1_1 X1 → False) → (∀X1, (m1_subset_1 (esk32_1 X1) (u1_struct_0 X1) → False) → v2_struct_0 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → epred1_1 X1 → False) → (∀X1, (m1_subset_1 (esk31_1 X1) (u1_struct_0 X1) → False) → v2_struct_0 X1 → v5_bcialg_1 X1 → v7_bcialg_1 X1 → epred1_1 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v8_bcialg_1 X1 → False) → (k2_bcialg_1 X1 (esk7_1 X1)) = (k4_struct_0 X1) → l2_bcialg_1 X1 → False) → (m2_bcialg_1 esk2_0 esk1_0 → v3_bciideal esk2_0 esk1_0 → m4_bciideal esk2_0 esk1_0 → False) → (∀X1, (l2_bcialg_1 X1 → False) → (m1_subset_1 (esk33_1 X1) (u1_struct_0 X1) → False) → v5_bcialg_1 X1 → v7_bcialg_1 X1 → epred1_1 X1 → False) → (∀X1, (l2_bcialg_1 X1 → False) → (m1_subset_1 (esk32_1 X1) (u1_struct_0 X1) → False) → v5_bcialg_1 X1 → v7_bcialg_1 X1 → epred1_1 X1 → False) → (∀X1, (l2_bcialg_1 X1 → False) → (m1_subset_1 (esk31_1 X1) (u1_struct_0 X1) → False) → v5_bcialg_1 X1 → v7_bcialg_1 X1 → epred1_1 X1 → False) → (∀X1, (v4_bcialg_1 X1 → False) → (m1_subset_1 (esk33_1 X1) (u1_struct_0 X1) → False) → v5_bcialg_1 X1 → v7_bcialg_1 X1 → epred1_1 X1 → False) → (∀X1, (v4_bcialg_1 X1 → False) → (m1_subset_1 (esk32_1 X1) (u1_struct_0 X1) → False) → v5_bcialg_1 X1 → v7_bcialg_1 X1 → epred1_1 X1 → False) → (∀X1, (v4_bcialg_1 X1 → False) → (m1_subset_1 (esk31_1 X1) (u1_struct_0 X1) → False) → v5_bcialg_1 X1 → v7_bcialg_1 X1 → epred1_1 X1 → False) → (∀X1, (v3_bcialg_1 X1 → False) → (m1_subset_1 (esk33_1 X1) (u1_struct_0 X1) → False) → v5_bcialg_1 X1 → v7_bcialg_1 X1 → epred1_1 X1 → False) → (∀X1, (v3_bcialg_1 X1 → False) → (m1_subset_1 (esk32_1 X1) (u1_struct_0 X1) → False) → v5_bcialg_1 X1 → v7_bcialg_1 X1 → epred1_1 X1 → False) → (∀X1, (v3_bcialg_1 X1 → False) → (m1_subset_1 (esk31_1 X1) (u1_struct_0 X1) → False) → v5_bcialg_1 X1 → v7_bcialg_1 X1 → epred1_1 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → (m1_subset_1 (esk22_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk24_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk21_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_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) → (∀X1, (v7_struct_0 X1 → False) → l2_struct_0 X1 → v9_struct_0 (esk18_1 X1) X1 → False) → (∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → r1_tarski X1 X2 → False) → (∀X1, (v2_struct_0 X1 → False) → (v8_bcialg_1 X1 → False) → (m1_subset_1 (esk7_1 X1) (u1_struct_0 X1) → False) → l2_bcialg_1 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v5_bcialg_1 X1 → False) → (m1_subset_1 (esk6_1 X1) (u1_struct_0 X1) → False) → l2_bcialg_1 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v3_bcialg_1 X1 → False) → (m1_subset_1 (esk5_1 X1) (u1_struct_0 X1) → False) → l2_bcialg_1 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v3_bcialg_1 X1 → False) → (m1_subset_1 (esk4_1 X1) (u1_struct_0 X1) → False) → l2_bcialg_1 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v3_bcialg_1 X1 → False) → (m1_subset_1 (esk3_1 X1) (u1_struct_0 X1) → False) → l2_bcialg_1 X1 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X1, (v7_struct_0 X1 → False) → (m1_subset_1 (esk18_1 X1) (u1_struct_0 X1) → False) → l2_struct_0 X1 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1, v2_struct_0 X1 → l1_struct_0 X1 → v13_struct_0 X1 np__1 → False) → (∀X1, (m1_subset_1 (esk17_1 X1) (u1_struct_0 X1) → False) → l2_struct_0 X1 → False) → (∀X1, (m1_subset_1 (k4_struct_0 X1) (u1_struct_0 X1) → False) → l2_struct_0 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) → (∀X1, (v8_struct_0 X1 → False) → l1_struct_0 X1 → v1_finset_1 (u1_struct_0 X1) → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v1_zfmisc_1 (esk22_1 X1) → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v1_zfmisc_1 (u1_struct_0 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (esk24_1 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (esk21_1 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (u1_struct_0 X1) → False) → (∀X1, (v9_struct_0 (esk17_1 X1) X1 → False) → l2_struct_0 X1 → False) → (∀X1, (v9_struct_0 (k4_struct_0 X1) X1 → False) → l2_struct_0 X1 → False) → (∀X1, (v13_struct_0 X1 k1_xboole_0 → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v1_finset_1 (u1_struct_0 X1) → False) → l1_struct_0 X1 → v8_struct_0 X1 → False) → (∀X1, (v1_zfmisc_1 (u1_struct_0 X1) → False) → l1_struct_0 X1 → v7_struct_0 X1 → False) → (∀X1, (v1_xboole_0 (u1_struct_0 X1) → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_zfmisc_1 (esk21_1 X1) → False) → l1_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 → v7_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v1_funct_1 (u1_bcialg_1 X1) → False) → l1_bcialg_1 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (epred1_1 X1 → False) → l2_bcialg_1 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, (l1_struct_0 X1 → False) → l2_struct_0 X1 → False) → (∀X1, (l1_struct_0 X1 → False) → l1_bcialg_1 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (v1_xboole_0 np__1 → False) → (v2_struct_0 esk20_0 → False) → (v2_struct_0 esk1_0 → False) → (∀X1, (m1_subset_1 (esk12_1 X1) X1 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → ((m3_bciideal esk2_0 esk1_0 → False) → False) → ((m2_bcialg_1 esk2_0 esk1_0 → False) → False) → ((v1_xboole_0 o_0_0_xboole_0 → False) → False) → ((l2_struct_0 esk20_0 → False) → False) → ((l2_struct_0 esk11_0 → False) → False) → ((l1_bcialg_1 esk8_0 → False) → False) → ((v7_struct_0 esk20_0 → False) → False) → ((l1_struct_0 esk9_0 → False) → False) → ((l2_bcialg_1 esk10_0 → False) → False) → ((l2_bcialg_1 esk1_0 → False) → False) → ((v8_bcialg_1 esk1_0 → False) → False) → ((v7_bcialg_1 esk1_0 → False) → False) → ((v5_bcialg_1 esk1_0 → False) → False) → ((v4_bcialg_1 esk1_0 → False) → False) → ((v3_bcialg_1 esk1_0 → False) → False) → ((o_0_0_xboole_0 = k1_xboole_0 → False) → False) → False