Theorem. (t36_bcialg_3)
∀esk24_1 : setset, ∀esk25_1 : setset, ∀esk26_1 : setset, ∀v1_bcialg_3 : setprop, ∀esk22_1 : setset, ∀esk23_1 : setset, ∀l1_bcialg_1 : setprop, ∀k5_binop_1 : setsetsetsetset, ∀u1_bcialg_1 : setset, ∀k2_bcialg_1 : setsetset, ∀v10_bcialg_3 : setprop, ∀epred1_1 : setprop, ∀r2_hidden : setsetprop, ∀esk9_1 : setset, ∀esk21_1 : setset, ∀r1_tarski : setsetprop, ∀v9_struct_0 : setsetprop, ∀esk16_1 : setset, ∀l2_struct_0 : setprop, ∀v13_struct_0 : setsetprop, ∀np__1 : set, ∀k1_xboole_0 : set, ∀v8_struct_0 : setprop, ∀v1_finset_1 : setprop, ∀v1_funct_1 : setprop, ∀esk17_0 : set, ∀esk14_1 : setset, ∀esk12_0 : set, ∀esk11_0 : set, ∀esk10_0 : set, ∀esk13_0 : set, ∀esk18_0 : set, ∀v1_zfmisc_1 : setprop, ∀esk15_1 : setset, ∀esk19_1 : setset, ∀l1_struct_0 : setprop, ∀esk20_1 : setset, ∀v7_struct_0 : setprop, ∀v1_xboole_0 : setprop, ∀v1_funct_2 : setsetsetprop, ∀k2_zfmisc_1 : setsetset, ∀k1_zfmisc_1 : setset, ∀esk6_1 : setset, ∀esk5_1 : setset, ∀esk8_1 : setset, ∀esk7_1 : setset, ∀m1_subset_1 : setsetprop, ∀u1_struct_0 : setset, ∀esk2_0 : set, ∀k4_struct_0 : setset, ∀esk3_0 : set, ∀k1_bcialg_1 : setsetsetset, ∀l2_bcialg_1 : setprop, ∀v4_bcialg_1 : setprop, ∀v7_bcialg_1 : setprop, ∀v8_bcialg_1 : setprop, ∀v11_bcialg_3 : setprop, ∀v5_bcialg_1 : setprop, ∀v3_bcialg_1 : setprop, ∀esk4_0 : set, ∀v2_struct_0 : setprop, ∀esk1_0 : set, ((v2_struct_0 esk1_0False)(k1_bcialg_1 esk1_0 esk2_0 (k1_bcialg_1 esk1_0 (k4_struct_0 esk1_0) esk3_0)) = esk2_0(k1_bcialg_1 esk1_0 (k1_bcialg_1 esk1_0 (k1_bcialg_1 esk1_0 esk3_0 esk4_0) (k1_bcialg_1 esk1_0 esk3_0 esk2_0)) (k1_bcialg_1 esk1_0 esk2_0 esk3_0)) = (k1_bcialg_1 esk1_0 (k1_bcialg_1 esk1_0 esk2_0 esk4_0) (k1_bcialg_1 esk1_0 esk2_0 esk3_0))l2_bcialg_1 esk1_0v3_bcialg_1 esk1_0v4_bcialg_1 esk1_0v5_bcialg_1 esk1_0v7_bcialg_1 esk1_0v8_bcialg_1 esk1_0v11_bcialg_3 esk1_0False)(∀X1, (v2_struct_0 X1False)(v1_bcialg_3 X1False)(k1_bcialg_1 X1 (esk24_1 X1) (k1_bcialg_1 X1 (k4_struct_0 X1) (esk25_1 X1))) = (esk24_1 X1)(k1_bcialg_1 X1 (k1_bcialg_1 X1 (esk25_1 X1) (esk26_1 X1)) (k1_bcialg_1 X1 (esk25_1 X1) (esk24_1 X1))) = (k1_bcialg_1 X1 (k1_bcialg_1 X1 (esk24_1 X1) (esk26_1 X1)) (k1_bcialg_1 X1 (esk24_1 X1) (esk25_1 X1)))l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v8_bcialg_1 X1False)(k1_bcialg_1 X1 (esk24_1 X1) (k1_bcialg_1 X1 (k4_struct_0 X1) (esk25_1 X1))) = (esk24_1 X1)(k1_bcialg_1 X1 (k1_bcialg_1 X1 (esk25_1 X1) (esk26_1 X1)) (k1_bcialg_1 X1 (esk25_1 X1) (esk24_1 X1))) = (k1_bcialg_1 X1 (k1_bcialg_1 X1 (esk24_1 X1) (esk26_1 X1)) (k1_bcialg_1 X1 (esk24_1 X1) (esk25_1 X1)))l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v7_bcialg_1 X1False)(k1_bcialg_1 X1 (esk24_1 X1) (k1_bcialg_1 X1 (k4_struct_0 X1) (esk25_1 X1))) = (esk24_1 X1)(k1_bcialg_1 X1 (k1_bcialg_1 X1 (esk25_1 X1) (esk26_1 X1)) (k1_bcialg_1 X1 (esk25_1 X1) (esk24_1 X1))) = (k1_bcialg_1 X1 (k1_bcialg_1 X1 (esk24_1 X1) (esk26_1 X1)) (k1_bcialg_1 X1 (esk24_1 X1) (esk25_1 X1)))l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v5_bcialg_1 X1False)(k1_bcialg_1 X1 (esk24_1 X1) (k1_bcialg_1 X1 (k4_struct_0 X1) (esk25_1 X1))) = (esk24_1 X1)(k1_bcialg_1 X1 (k1_bcialg_1 X1 (esk25_1 X1) (esk26_1 X1)) (k1_bcialg_1 X1 (esk25_1 X1) (esk24_1 X1))) = (k1_bcialg_1 X1 (k1_bcialg_1 X1 (esk24_1 X1) (esk26_1 X1)) (k1_bcialg_1 X1 (esk24_1 X1) (esk25_1 X1)))l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v4_bcialg_1 X1False)(k1_bcialg_1 X1 (esk24_1 X1) (k1_bcialg_1 X1 (k4_struct_0 X1) (esk25_1 X1))) = (esk24_1 X1)(k1_bcialg_1 X1 (k1_bcialg_1 X1 (esk25_1 X1) (esk26_1 X1)) (k1_bcialg_1 X1 (esk25_1 X1) (esk24_1 X1))) = (k1_bcialg_1 X1 (k1_bcialg_1 X1 (esk24_1 X1) (esk26_1 X1)) (k1_bcialg_1 X1 (esk24_1 X1) (esk25_1 X1)))l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v3_bcialg_1 X1False)(k1_bcialg_1 X1 (esk24_1 X1) (k1_bcialg_1 X1 (k4_struct_0 X1) (esk25_1 X1))) = (esk24_1 X1)(k1_bcialg_1 X1 (k1_bcialg_1 X1 (esk25_1 X1) (esk26_1 X1)) (k1_bcialg_1 X1 (esk25_1 X1) (esk24_1 X1))) = (k1_bcialg_1 X1 (k1_bcialg_1 X1 (esk24_1 X1) (esk26_1 X1)) (k1_bcialg_1 X1 (esk24_1 X1) (esk25_1 X1)))l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v11_bcialg_3 X1False)(k1_bcialg_1 X1 (k1_bcialg_1 X1 (esk22_1 X1) (k1_bcialg_1 X1 (esk22_1 X1) (esk23_1 X1))) (k1_bcialg_1 X1 (esk22_1 X1) (esk23_1 X1))) = (k1_bcialg_1 X1 (esk23_1 X1) (k1_bcialg_1 X1 (esk23_1 X1) (esk22_1 X1)))l2_bcialg_1 X1v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1v8_bcialg_1 X1False)(∀X3 X2 X1, ((k1_bcialg_1 esk1_0 (k1_bcialg_1 esk1_0 (k1_bcialg_1 esk1_0 X3 X2) (k1_bcialg_1 esk1_0 X3 X1)) (k1_bcialg_1 esk1_0 X1 X3)) = (k1_bcialg_1 esk1_0 (k1_bcialg_1 esk1_0 X1 X2) (k1_bcialg_1 esk1_0 X1 X3))False)v2_struct_0 esk1_0m1_subset_1 X3 (u1_struct_0 esk1_0)m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X3 X2 X1, ((k1_bcialg_1 esk1_0 (k1_bcialg_1 esk1_0 (k1_bcialg_1 esk1_0 X3 X2) (k1_bcialg_1 esk1_0 X3 X1)) (k1_bcialg_1 esk1_0 X1 X3)) = (k1_bcialg_1 esk1_0 (k1_bcialg_1 esk1_0 X1 X2) (k1_bcialg_1 esk1_0 X1 X3))False)(v11_bcialg_3 esk1_0False)m1_subset_1 X3 (u1_struct_0 esk1_0)m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X3 X2 X1, ((k1_bcialg_1 esk1_0 (k1_bcialg_1 esk1_0 (k1_bcialg_1 esk1_0 X3 X2) (k1_bcialg_1 esk1_0 X3 X1)) (k1_bcialg_1 esk1_0 X1 X3)) = (k1_bcialg_1 esk1_0 (k1_bcialg_1 esk1_0 X1 X2) (k1_bcialg_1 esk1_0 X1 X3))False)(v8_bcialg_1 esk1_0False)m1_subset_1 X3 (u1_struct_0 esk1_0)m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X3 X2 X1, ((k1_bcialg_1 esk1_0 (k1_bcialg_1 esk1_0 (k1_bcialg_1 esk1_0 X3 X2) (k1_bcialg_1 esk1_0 X3 X1)) (k1_bcialg_1 esk1_0 X1 X3)) = (k1_bcialg_1 esk1_0 (k1_bcialg_1 esk1_0 X1 X2) (k1_bcialg_1 esk1_0 X1 X3))False)(v7_bcialg_1 esk1_0False)m1_subset_1 X3 (u1_struct_0 esk1_0)m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X3 X2 X1, ((k1_bcialg_1 esk1_0 (k1_bcialg_1 esk1_0 (k1_bcialg_1 esk1_0 X3 X2) (k1_bcialg_1 esk1_0 X3 X1)) (k1_bcialg_1 esk1_0 X1 X3)) = (k1_bcialg_1 esk1_0 (k1_bcialg_1 esk1_0 X1 X2) (k1_bcialg_1 esk1_0 X1 X3))False)(v5_bcialg_1 esk1_0False)m1_subset_1 X3 (u1_struct_0 esk1_0)m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X3 X2 X1, ((k1_bcialg_1 esk1_0 (k1_bcialg_1 esk1_0 (k1_bcialg_1 esk1_0 X3 X2) (k1_bcialg_1 esk1_0 X3 X1)) (k1_bcialg_1 esk1_0 X1 X3)) = (k1_bcialg_1 esk1_0 (k1_bcialg_1 esk1_0 X1 X2) (k1_bcialg_1 esk1_0 X1 X3))False)(v4_bcialg_1 esk1_0False)m1_subset_1 X3 (u1_struct_0 esk1_0)m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X3 X2 X1, ((k1_bcialg_1 esk1_0 (k1_bcialg_1 esk1_0 (k1_bcialg_1 esk1_0 X3 X2) (k1_bcialg_1 esk1_0 X3 X1)) (k1_bcialg_1 esk1_0 X1 X3)) = (k1_bcialg_1 esk1_0 (k1_bcialg_1 esk1_0 X1 X2) (k1_bcialg_1 esk1_0 X1 X3))False)(v3_bcialg_1 esk1_0False)m1_subset_1 X3 (u1_struct_0 esk1_0)m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X3 X2 X1, ((k1_bcialg_1 esk1_0 (k1_bcialg_1 esk1_0 (k1_bcialg_1 esk1_0 X3 X2) (k1_bcialg_1 esk1_0 X3 X1)) (k1_bcialg_1 esk1_0 X1 X3)) = (k1_bcialg_1 esk1_0 (k1_bcialg_1 esk1_0 X1 X2) (k1_bcialg_1 esk1_0 X1 X3))False)(l2_bcialg_1 esk1_0False)m1_subset_1 X3 (u1_struct_0 esk1_0)m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X3 X2 X1, ((k1_bcialg_1 X1 (k1_bcialg_1 X1 X2 (k1_bcialg_1 X1 X2 X3)) (k1_bcialg_1 X1 X2 X3)) = (k1_bcialg_1 X1 X3 (k1_bcialg_1 X1 X3 X2))False)(v2_struct_0 X1False)l2_bcialg_1 X1v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1v8_bcialg_1 X1v11_bcialg_3 X1m1_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) (k1_bcialg_1 X1 X2 X4)) = (k1_bcialg_1 X1 (k1_bcialg_1 X1 X4 X3) (k1_bcialg_1 X1 X4 X2))False)(v2_struct_0 X1False)l2_bcialg_1 X1v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1v8_bcialg_1 X1v1_bcialg_3 X1m1_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, (v2_struct_0 X1False)(v1_bcialg_3 X1False)(k1_bcialg_1 X1 (esk8_1 X1) (k1_bcialg_1 X1 (esk8_1 X1) (esk7_1 X1))) = (k1_bcialg_1 X1 (esk7_1 X1) (k1_bcialg_1 X1 (esk7_1 X1) (esk8_1 X1)))l2_bcialg_1 X1False)(∀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 X1False)l2_bcialg_1 X1v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1m1_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 X1, ((k1_bcialg_1 X1 X2 (k1_bcialg_1 X1 X2 X3)) = (k1_bcialg_1 X1 X3 (k1_bcialg_1 X1 X3 X2))False)(v2_struct_0 X1False)l2_bcialg_1 X1v1_bcialg_3 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)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 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X1, (v2_struct_0 X1False)(v11_bcialg_3 X1False)(k1_bcialg_1 X1 (esk5_1 X1) (k1_bcialg_1 X1 (esk6_1 X1) (esk5_1 X1))) = (esk5_1 X1)l2_bcialg_1 X1v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1v8_bcialg_1 X1False)(∀X4 X1 X3 X2, ((k1_bcialg_1 X1 X2 (k1_bcialg_1 X1 (k4_struct_0 X1) X3)) = X2False)(v2_struct_0 X1False)l2_bcialg_1 X1v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1v8_bcialg_1 X1v1_bcialg_3 X1m1_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, (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 X1False)(∀X3 X2 X1, ((k1_bcialg_1 X1 X2 (k1_bcialg_1 X1 X3 X2)) = X2False)(v2_struct_0 X1False)l2_bcialg_1 X1v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1v8_bcialg_1 X1v11_bcialg_3 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X3 X2 X1, ((k1_bcialg_1 esk1_0 X1 (k1_bcialg_1 esk1_0 (k4_struct_0 esk1_0) X2)) = X1False)v2_struct_0 esk1_0m1_subset_1 X3 (u1_struct_0 esk1_0)m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X3 X2 X1, ((k1_bcialg_1 esk1_0 X1 (k1_bcialg_1 esk1_0 (k4_struct_0 esk1_0) X2)) = X1False)(v11_bcialg_3 esk1_0False)m1_subset_1 X3 (u1_struct_0 esk1_0)m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X3 X2 X1, ((k1_bcialg_1 esk1_0 X1 (k1_bcialg_1 esk1_0 (k4_struct_0 esk1_0) X2)) = X1False)(v8_bcialg_1 esk1_0False)m1_subset_1 X3 (u1_struct_0 esk1_0)m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X3 X2 X1, ((k1_bcialg_1 esk1_0 X1 (k1_bcialg_1 esk1_0 (k4_struct_0 esk1_0) X2)) = X1False)(v7_bcialg_1 esk1_0False)m1_subset_1 X3 (u1_struct_0 esk1_0)m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X3 X2 X1, ((k1_bcialg_1 esk1_0 X1 (k1_bcialg_1 esk1_0 (k4_struct_0 esk1_0) X2)) = X1False)(v5_bcialg_1 esk1_0False)m1_subset_1 X3 (u1_struct_0 esk1_0)m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X3 X2 X1, ((k1_bcialg_1 esk1_0 X1 (k1_bcialg_1 esk1_0 (k4_struct_0 esk1_0) X2)) = X1False)(v4_bcialg_1 esk1_0False)m1_subset_1 X3 (u1_struct_0 esk1_0)m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X3 X2 X1, ((k1_bcialg_1 esk1_0 X1 (k1_bcialg_1 esk1_0 (k4_struct_0 esk1_0) X2)) = X1False)(v3_bcialg_1 esk1_0False)m1_subset_1 X3 (u1_struct_0 esk1_0)m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X3 X2 X1, ((k1_bcialg_1 esk1_0 X1 (k1_bcialg_1 esk1_0 (k4_struct_0 esk1_0) X2)) = X1False)(l2_bcialg_1 esk1_0False)m1_subset_1 X3 (u1_struct_0 esk1_0)m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X2 X3 X1, (m1_subset_1 (k1_bcialg_1 X1 X2 X3) (u1_struct_0 X1)False)l1_bcialg_1 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X1, ((k1_bcialg_1 X1 X2 (k4_struct_0 X1)) = X2False)(v2_struct_0 X1False)l2_bcialg_1 X1v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1m1_subset_1 X2 (u1_struct_0 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 X1False)(∀X2 X1, ((k1_bcialg_1 X1 (k4_struct_0 X1) X2) = (k2_bcialg_1 X1 X2)False)(v2_struct_0 X1False)l2_bcialg_1 X1m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X1, (v2_struct_0 X1False)(m1_subset_1 (k2_bcialg_1 X1 X2) (u1_struct_0 X1)False)l2_bcialg_1 X1m1_subset_1 X2 (u1_struct_0 X1)False)(∀X1, (v2_struct_0 X1False)(v11_bcialg_3 X1False)(m1_subset_1 (esk23_1 X1) (u1_struct_0 X1)False)l2_bcialg_1 X1v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1v8_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v11_bcialg_3 X1False)(m1_subset_1 (esk22_1 X1) (u1_struct_0 X1)False)l2_bcialg_1 X1v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1v8_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v11_bcialg_3 X1False)(m1_subset_1 (esk6_1 X1) (u1_struct_0 X1)False)l2_bcialg_1 X1v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1v8_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v11_bcialg_3 X1False)(m1_subset_1 (esk5_1 X1) (u1_struct_0 X1)False)l2_bcialg_1 X1v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1v8_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v11_bcialg_3 X1False)l2_bcialg_1 X1v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1v8_bcialg_1 X1v1_bcialg_3 X1v10_bcialg_3 X1epred1_1 X1False)(∀X2 X1, ((k2_bcialg_1 X1 X2) = (k4_struct_0 X1)False)(v2_struct_0 X1False)l2_bcialg_1 X1v8_bcialg_1 X1m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X1 X3, (m1_subset_1 X1 X3False)r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X1, (v2_struct_0 X1False)(v10_bcialg_3 X1False)l2_bcialg_1 X1v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1v8_bcialg_1 X1v11_bcialg_3 X1epred1_1 X1False)(∀X1, (v2_struct_0 X1False)(v1_bcialg_3 X1False)l2_bcialg_1 X1v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1v8_bcialg_1 X1v11_bcialg_3 X1epred1_1 X1False)(∀X2 X1 X3, v1_xboole_0 X3r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X1, (v2_struct_0 X1False)(v8_bcialg_1 X1False)(k2_bcialg_1 X1 (esk9_1 X1)) = (k4_struct_0 X1)l2_bcialg_1 X1False)((v2_struct_0 esk1_0False)(m1_subset_1 esk4_0 (u1_struct_0 esk1_0)False)l2_bcialg_1 esk1_0v3_bcialg_1 esk1_0v4_bcialg_1 esk1_0v5_bcialg_1 esk1_0v7_bcialg_1 esk1_0v8_bcialg_1 esk1_0v11_bcialg_3 esk1_0False)((v2_struct_0 esk1_0False)(m1_subset_1 esk3_0 (u1_struct_0 esk1_0)False)l2_bcialg_1 esk1_0v3_bcialg_1 esk1_0v4_bcialg_1 esk1_0v5_bcialg_1 esk1_0v7_bcialg_1 esk1_0v8_bcialg_1 esk1_0v11_bcialg_3 esk1_0False)((v2_struct_0 esk1_0False)(m1_subset_1 esk2_0 (u1_struct_0 esk1_0)False)l2_bcialg_1 esk1_0v3_bcialg_1 esk1_0v4_bcialg_1 esk1_0v5_bcialg_1 esk1_0v7_bcialg_1 esk1_0v8_bcialg_1 esk1_0v11_bcialg_3 esk1_0False)(∀X1, (v2_struct_0 X1False)(epred1_1 X1False)l2_bcialg_1 X1v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1v8_bcialg_1 X1False)(∀X1, (v7_struct_0 X1False)(m1_subset_1 (esk20_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk21_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk19_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X2 X1, (r1_tarski X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1, r2_hidden X2 X1r2_hidden X1 X2False)(∀X1, (v7_struct_0 X1False)l2_struct_0 X1v9_struct_0 (esk16_1 X1) X1False)(∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2)False)r1_tarski X1 X2False)(∀X1, (v2_struct_0 X1False)(v1_bcialg_3 X1False)(m1_subset_1 (esk26_1 X1) (u1_struct_0 X1)False)l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v1_bcialg_3 X1False)(m1_subset_1 (esk25_1 X1) (u1_struct_0 X1)False)l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v1_bcialg_3 X1False)(m1_subset_1 (esk24_1 X1) (u1_struct_0 X1)False)l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v1_bcialg_3 X1False)(m1_subset_1 (esk8_1 X1) (u1_struct_0 X1)False)l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v1_bcialg_3 X1False)(m1_subset_1 (esk7_1 X1) (u1_struct_0 X1)False)l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v8_bcialg_1 X1False)(m1_subset_1 (esk26_1 X1) (u1_struct_0 X1)False)l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v8_bcialg_1 X1False)(m1_subset_1 (esk25_1 X1) (u1_struct_0 X1)False)l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v8_bcialg_1 X1False)(m1_subset_1 (esk24_1 X1) (u1_struct_0 X1)False)l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v8_bcialg_1 X1False)(m1_subset_1 (esk9_1 X1) (u1_struct_0 X1)False)l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v7_bcialg_1 X1False)(m1_subset_1 (esk26_1 X1) (u1_struct_0 X1)False)l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v7_bcialg_1 X1False)(m1_subset_1 (esk25_1 X1) (u1_struct_0 X1)False)l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v7_bcialg_1 X1False)(m1_subset_1 (esk24_1 X1) (u1_struct_0 X1)False)l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v5_bcialg_1 X1False)(m1_subset_1 (esk26_1 X1) (u1_struct_0 X1)False)l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v5_bcialg_1 X1False)(m1_subset_1 (esk25_1 X1) (u1_struct_0 X1)False)l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v5_bcialg_1 X1False)(m1_subset_1 (esk24_1 X1) (u1_struct_0 X1)False)l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v4_bcialg_1 X1False)(m1_subset_1 (esk26_1 X1) (u1_struct_0 X1)False)l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v4_bcialg_1 X1False)(m1_subset_1 (esk25_1 X1) (u1_struct_0 X1)False)l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v4_bcialg_1 X1False)(m1_subset_1 (esk24_1 X1) (u1_struct_0 X1)False)l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v3_bcialg_1 X1False)(m1_subset_1 (esk26_1 X1) (u1_struct_0 X1)False)l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v3_bcialg_1 X1False)(m1_subset_1 (esk25_1 X1) (u1_struct_0 X1)False)l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v3_bcialg_1 X1False)(m1_subset_1 (esk24_1 X1) (u1_struct_0 X1)False)l2_bcialg_1 X1False)(∀X1 X2, (v1_xboole_0 X2False)(r2_hidden X1 X2False)m1_subset_1 X1 X2False)(∀X1, (v7_struct_0 X1False)(m1_subset_1 (esk16_1 X1) (u1_struct_0 X1)False)l2_struct_0 X1False)(∀X2 X1, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀X1, v2_struct_0 X1l1_struct_0 X1v13_struct_0 X1 np__1False)(∀X1, (m1_subset_1 (esk15_1 X1) (u1_struct_0 X1)False)l2_struct_0 X1False)(∀X1, (m1_subset_1 (k4_struct_0 X1) (u1_struct_0 X1)False)l2_struct_0 X1False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v13_struct_0 X1 np__1False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v13_struct_0 X1 k1_xboole_0False)(∀X1, (v2_struct_0 X1False)(v13_struct_0 X1 np__1False)l1_struct_0 X1v7_struct_0 X1False)(∀X1, (v8_struct_0 X1False)l1_struct_0 X1v1_finset_1 (u1_struct_0 X1)False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v1_zfmisc_1 (esk20_1 X1)False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v1_zfmisc_1 (u1_struct_0 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (esk21_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (esk19_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (u1_struct_0 X1)False)(∀X1, (v9_struct_0 (esk15_1 X1) X1False)l2_struct_0 X1False)(∀X1, (v9_struct_0 (k4_struct_0 X1) X1False)l2_struct_0 X1False)(∀X1, (v13_struct_0 X1 k1_xboole_0False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v1_finset_1 (u1_struct_0 X1)False)l1_struct_0 X1v8_struct_0 X1False)(∀X1, (v1_zfmisc_1 (u1_struct_0 X1)False)l1_struct_0 X1v7_struct_0 X1False)(∀X1, (v1_xboole_0 (u1_struct_0 X1)False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(v1_zfmisc_1 (esk19_1 X1)False)l1_struct_0 X1False)(∀X1, (v8_struct_0 X1False)l1_struct_0 X1v7_struct_0 X1False)(∀X1, (v8_struct_0 X1False)l1_struct_0 X1v7_struct_0 X1False)(∀X1, (v8_struct_0 X1False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v8_struct_0 X1False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v7_struct_0 X1False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v7_struct_0 X1False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v7_struct_0 X1False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v1_funct_1 (u1_bcialg_1 X1)False)l1_bcialg_1 X1False)(∀X1, (l2_struct_0 X1False)l2_bcialg_1 X1False)(∀X1, (l1_bcialg_1 X1False)l2_bcialg_1 X1False)(∀X1, (l1_struct_0 X1False)l2_struct_0 X1False)(∀X1, (l1_struct_0 X1False)l1_bcialg_1 X1False)(v2_struct_0 esk18_0False)(v2_struct_0 esk17_0False)(v2_struct_0 esk1_0False)(∀X1, (m1_subset_1 (esk14_1 X1) X1False)False)(∀X1, (r1_tarski X1 X1False)False)((l2_struct_0 esk18_0False)False)((l2_struct_0 esk13_0False)False)((v1_bcialg_3 esk17_0False)False)((l1_bcialg_1 esk10_0False)False)((v7_struct_0 esk18_0False)False)((l1_struct_0 esk11_0False)False)((v8_bcialg_1 esk17_0False)False)((v7_bcialg_1 esk17_0False)False)((v5_bcialg_1 esk17_0False)False)((v4_bcialg_1 esk17_0False)False)((v3_bcialg_1 esk17_0False)False)((l2_bcialg_1 esk17_0False)False)((l2_bcialg_1 esk12_0False)False)((l2_bcialg_1 esk1_0False)False)False
Proof:
The rest of the proof is missing.