Theorem. (t18_bcialg_3)
∀m1_subset_1 : setsetprop, ∀u1_struct_0 : setset, ∀esk1_0 : set, ∀esk3_0 : set, ∀esk4_0 : set, ∀l1_bcialg_1 : setprop, ∀k5_binop_1 : setsetsetsetset, ∀u1_bcialg_1 : setset, ∀a_2_0_bcialg_1 : setsetset, ∀r1_bcialg_1 : setsetsetprop, ∀esk17_3 : setsetsetset, ∀esk5_1 : setset, ∀esk6_1 : setset, ∀k1_zfmisc_1 : setset, ∀k2_zfmisc_1 : setsetset, ∀k2_bcialg_1 : setsetset, ∀v1_xboole_0 : setprop, ∀esk7_1 : setset, ∀esk15_2 : setsetset, ∀v10_bcialg_1 : setsetprop, ∀a_1_1_bcialg_1 : setset, ∀esk8_1 : setset, ∀esk9_1 : setset, ∀esk2_0 : set, ∀v7_struct_0 : setprop, ∀esk22_1 : setset, ∀l1_struct_0 : setprop, ∀esk21_1 : setset, ∀r1_tarski : setsetprop, ∀v9_struct_0 : setsetprop, ∀esk19_1 : setset, ∀l2_struct_0 : setprop, ∀v13_struct_0 : setsetprop, ∀np__1 : set, ∀k1_xboole_0 : set, ∀v1_zfmisc_1 : setprop, ∀esk20_0 : set, ∀esk14_1 : setset, ∀esk10_0 : set, ∀esk11_0 : set, ∀esk12_0 : set, ∀esk13_0 : set, ∀v1_funct_1 : setprop, ∀v1_finset_1 : setprop, ∀v8_struct_0 : setprop, ∀esk18_1 : setset, ∀esk23_1 : setset, ∀esk26_2 : setsetset, ∀esk16_2 : setsetset, ∀v1_funct_2 : setsetsetprop, ∀r2_hidden : setsetprop, ∀k7_bcialg_1 : setsetset, ∀k6_bcialg_1 : setsetsetset, ∀m2_subset_1 : setsetsetprop, ∀k5_bcialg_1 : setset, ∀v4_bcialg_3 : setprop, ∀v3_bcialg_1 : setprop, ∀v5_bcialg_1 : setprop, ∀v7_bcialg_1 : setprop, ∀l2_bcialg_1 : setprop, ∀v4_bcialg_1 : setprop, ∀k4_struct_0 : setset, ∀esk25_1 : setset, ∀esk24_1 : setset, ∀k1_bcialg_1 : setsetsetset, ∀v2_struct_0 : setprop, (∀X1, (v2_struct_0 X1False)(v4_bcialg_3 X1False)(k1_bcialg_1 X1 (k1_bcialg_1 X1 (esk24_1 X1) (k1_bcialg_1 X1 (esk24_1 X1) (esk25_1 X1))) (k1_bcialg_1 X1 (esk25_1 X1) (k1_bcialg_1 X1 (esk25_1 X1) (esk24_1 X1)))) = (k1_bcialg_1 X1 (k4_struct_0 X1) (k1_bcialg_1 X1 (esk24_1 X1) (esk25_1 X1)))v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1l2_bcialg_1 X1False)(∀X2 X3 X1, ((k1_bcialg_1 X1 (k1_bcialg_1 X1 X2 (k1_bcialg_1 X1 X2 X3)) (k1_bcialg_1 X1 X3 (k1_bcialg_1 X1 X3 X2))) = (k1_bcialg_1 X1 (k4_struct_0 X1) (k1_bcialg_1 X1 X2 X3))False)(v2_struct_0 X1False)v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1l2_bcialg_1 X1v4_bcialg_3 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X5 X4 X3 X1, (v2_struct_0 X1False)(r2_hidden (k1_bcialg_1 X1 X4 X5) (k7_bcialg_1 X1 (k6_bcialg_1 X1 X2 X3))False)v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1l2_bcialg_1 X1m2_subset_1 X3 (u1_struct_0 X1) (k5_bcialg_1 X1)m2_subset_1 X2 (u1_struct_0 X1) (k5_bcialg_1 X1)m2_subset_1 X5 (u1_struct_0 X1) (k7_bcialg_1 X1 X3)m2_subset_1 X4 (u1_struct_0 X1) (k7_bcialg_1 X1 X2)False)(∀X1 X2 X3, ((k1_bcialg_1 esk1_0 X2 (k1_bcialg_1 esk1_0 X2 X3)) = (k1_bcialg_1 esk1_0 X3 (k1_bcialg_1 esk1_0 X3 X2))False)(v4_bcialg_3 esk1_0False)m2_subset_1 X1 (u1_struct_0 esk1_0) (k5_bcialg_1 esk1_0)m2_subset_1 X3 (u1_struct_0 esk1_0) (k7_bcialg_1 esk1_0 X1)m2_subset_1 X2 (u1_struct_0 esk1_0) (k7_bcialg_1 esk1_0 X1)False)(∀X3 X2 X1, ((k1_bcialg_1 X1 X2 (k1_bcialg_1 X1 X2 (k1_bcialg_1 X1 X2 X3))) = (k1_bcialg_1 X1 X2 X3)False)(v2_struct_0 X1False)v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1l2_bcialg_1 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)((k1_bcialg_1 esk1_0 esk4_0 (k1_bcialg_1 esk1_0 esk4_0 esk3_0)) = (k1_bcialg_1 esk1_0 esk3_0 (k1_bcialg_1 esk1_0 esk3_0 esk4_0))v4_bcialg_3 esk1_0False)(∀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)v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1l2_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, ((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)(∀X3 X2 X4 X1, ((k1_bcialg_1 X1 X2 X4) = (k4_struct_0 X1)False)(v2_struct_0 X1False)(k1_bcialg_1 X1 X3 X4) = (k4_struct_0 X1)(k1_bcialg_1 X1 X2 X3) = (k4_struct_0 X1)v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1l2_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)(∀X3 X2 X1, (v2_struct_0 X1False)(r1_bcialg_1 X1 X2 (esk17_3 X3 X1 X2)False)v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1l2_bcialg_1 X1r2_hidden X3 (a_2_0_bcialg_1 X1 X2)m2_subset_1 X2 (u1_struct_0 X1) (k5_bcialg_1 X1)False)(∀X2 X3 X1, ((k1_bcialg_1 X1 X3 (k1_bcialg_1 X1 X3 X2)) = X2False)(v2_struct_0 X1False)(k1_bcialg_1 X1 X2 X3) = (k4_struct_0 X1)v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1l2_bcialg_1 X1v4_bcialg_3 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X1, (v2_struct_0 X1False)(v4_bcialg_3 X1False)(k1_bcialg_1 X1 (esk6_1 X1) (k1_bcialg_1 X1 (esk6_1 X1) (esk5_1 X1))) = (esk5_1 X1)v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1l2_bcialg_1 X1False)(∀X1 X3 X2, (v2_struct_0 X2False)(m1_subset_1 (esk17_3 X1 X2 X3) (u1_struct_0 X2)False)v3_bcialg_1 X2v4_bcialg_1 X2v5_bcialg_1 X2v7_bcialg_1 X2l2_bcialg_1 X2r2_hidden X1 (a_2_0_bcialg_1 X2 X3)m2_subset_1 X3 (u1_struct_0 X2) (k5_bcialg_1 X2)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 X4 X1 X2, (v2_struct_0 X2False)(r2_hidden X3 (a_2_0_bcialg_1 X2 X4)False)X1 = X3v3_bcialg_1 X2v4_bcialg_1 X2v5_bcialg_1 X2v7_bcialg_1 X2l2_bcialg_1 X2r1_bcialg_1 X2 X4 X1m1_subset_1 X1 (u1_struct_0 X2)m2_subset_1 X4 (u1_struct_0 X2) (k5_bcialg_1 X2)False)(∀X3 X2 X1, (v2_struct_0 X1False)(m2_subset_1 (k6_bcialg_1 X1 X2 X3) (u1_struct_0 X1) (k5_bcialg_1 X1)False)v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1l2_bcialg_1 X1m1_subset_1 X3 (k5_bcialg_1 X1)m1_subset_1 X2 (k5_bcialg_1 X1)False)(∀X1 X2 X3, (X2 = X3False)(v2_struct_0 X1False)(k1_bcialg_1 X1 X3 X2) = (k4_struct_0 X1)(k1_bcialg_1 X1 X2 X3) = (k4_struct_0 X1)v7_bcialg_1 X1l2_bcialg_1 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X1 X3 X2, ((esk17_3 X1 X2 X3) = X1False)(v2_struct_0 X2False)v3_bcialg_1 X2v4_bcialg_1 X2v5_bcialg_1 X2v7_bcialg_1 X2l2_bcialg_1 X2r2_hidden X1 (a_2_0_bcialg_1 X2 X3)m2_subset_1 X3 (u1_struct_0 X2) (k5_bcialg_1 X2)False)(∀X3 X2 X1, (v2_struct_0 X1False)(r1_bcialg_1 X1 X2 X3False)(k1_bcialg_1 X1 X2 X3) = (k4_struct_0 X1)l2_bcialg_1 X1m1_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 X1False)l2_bcialg_1 X1r1_bcialg_1 X1 X2 X3m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X3 X2 X1, ((k6_bcialg_1 X1 X2 X3) = (k1_bcialg_1 X1 X2 X3)False)(v2_struct_0 X1False)v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1l2_bcialg_1 X1m1_subset_1 X3 (k5_bcialg_1 X1)m1_subset_1 X2 (k5_bcialg_1 X1)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, ((a_2_0_bcialg_1 X1 X2) = (k7_bcialg_1 X1 X2)False)(v2_struct_0 X1False)v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1l2_bcialg_1 X1m2_subset_1 X2 (u1_struct_0 X1) (k5_bcialg_1 X1)False)(∀X2 X1, (v2_struct_0 X1False)(r2_hidden X2 (k5_bcialg_1 X1)False)(k2_bcialg_1 X1 (k2_bcialg_1 X1 X2)) = X2v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1l2_bcialg_1 X1m1_subset_1 X2 (u1_struct_0 X1)False)(∀X1 X2, ((k2_bcialg_1 X2 (k2_bcialg_1 X2 X1)) = X1False)(v2_struct_0 X2False)v3_bcialg_1 X2v4_bcialg_1 X2v5_bcialg_1 X2v7_bcialg_1 X2l2_bcialg_1 X2r2_hidden X1 (k5_bcialg_1 X2)m1_subset_1 X1 (u1_struct_0 X2)False)(∀X1 X3 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(m1_subset_1 X3 X1False)m2_subset_1 X3 X1 X2m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1 X3, (v1_xboole_0 X3False)(v1_xboole_0 X2False)(m1_subset_1 X1 X3False)m2_subset_1 X1 X2 X3m1_subset_1 X3 (k1_zfmisc_1 X2)False)(∀X2 X1, ((k1_bcialg_1 X1 X2 (k4_struct_0 X1)) = X2False)(v2_struct_0 X1False)v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1l2_bcialg_1 X1m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X1, (v2_struct_0 X1False)(m1_subset_1 (k7_bcialg_1 X1 X2) (k1_zfmisc_1 (u1_struct_0 X1))False)v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1l2_bcialg_1 X1m1_subset_1 X2 (k5_bcialg_1 X1)False)(∀X1, (v2_struct_0 X1False)(v5_bcialg_1 X1False)(k1_bcialg_1 X1 (esk7_1 X1) (esk7_1 X1)) = (k4_struct_0 X1)l2_bcialg_1 X1False)(∀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)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(m2_subset_1 (esk15_2 X1 X2) X1 X2False)m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1, (v2_struct_0 X1False)v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1l2_bcialg_1 X1v1_xboole_0 (k7_bcialg_1 X1 X2)m1_subset_1 X2 (k5_bcialg_1 X1)False)(∀X3 X1 X2, (v2_struct_0 X2False)(r2_hidden X3 (a_1_1_bcialg_1 X2)False)X1 = X3v3_bcialg_1 X2v4_bcialg_1 X2v5_bcialg_1 X2v7_bcialg_1 X2l2_bcialg_1 X2v10_bcialg_1 X1 X2m1_subset_1 X1 (u1_struct_0 X2)False)(∀X1 X2, (v2_struct_0 X2False)(m1_subset_1 (esk16_2 X1 X2) (u1_struct_0 X2)False)v3_bcialg_1 X2v4_bcialg_1 X2v5_bcialg_1 X2v7_bcialg_1 X2l2_bcialg_1 X2r2_hidden X1 (a_1_1_bcialg_1 X2)False)(∀X2 X1 X3, (v1_xboole_0 X3False)(v1_xboole_0 X2False)(m2_subset_1 X1 X3 X2False)m1_subset_1 X1 X2m1_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 X1False)l2_bcialg_1 X1m1_subset_1 X2 (u1_struct_0 X1)False)(∀X1, ((k1_bcialg_1 X1 (esk5_1 X1) (esk6_1 X1)) = (k4_struct_0 X1)False)(v2_struct_0 X1False)(v4_bcialg_3 X1False)v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1l2_bcialg_1 X1False)(∀X1 X2, (v2_struct_0 X2False)(v10_bcialg_1 (esk16_2 X1 X2) X2False)v3_bcialg_1 X2v4_bcialg_1 X2v5_bcialg_1 X2v7_bcialg_1 X2l2_bcialg_1 X2r2_hidden X1 (a_1_1_bcialg_1 X2)False)(∀X2 X1, ((k1_bcialg_1 X1 X2 X2) = (k4_struct_0 X1)False)(v2_struct_0 X1False)v5_bcialg_1 X1l2_bcialg_1 X1m1_subset_1 X2 (u1_struct_0 X1)False)(∀X1 X3 X2, r2_hidden X3 X2r2_hidden X1 X2r2_hidden X1 (esk26_2 X3 X2)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 X2, ((esk16_2 X1 X2) = X1False)(v2_struct_0 X2False)v3_bcialg_1 X2v4_bcialg_1 X2v5_bcialg_1 X2v7_bcialg_1 X2l2_bcialg_1 X2r2_hidden X1 (a_1_1_bcialg_1 X2)False)(∀X1, ((k1_bcialg_1 X1 (esk9_1 X1) (esk8_1 X1)) = (k4_struct_0 X1)False)(v2_struct_0 X1False)(v7_bcialg_1 X1False)l2_bcialg_1 X1False)(∀X1, ((k1_bcialg_1 X1 (esk8_1 X1) (esk9_1 X1)) = (k4_struct_0 X1)False)(v2_struct_0 X1False)(v7_bcialg_1 X1False)l2_bcialg_1 X1False)((m2_subset_1 esk4_0 (u1_struct_0 esk1_0) (k7_bcialg_1 esk1_0 esk2_0)False)v4_bcialg_3 esk1_0False)((m2_subset_1 esk3_0 (u1_struct_0 esk1_0) (k7_bcialg_1 esk1_0 esk2_0)False)v4_bcialg_3 esk1_0False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (k5_bcialg_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v4_bcialg_3 X1False)(m1_subset_1 (esk25_1 X1) (u1_struct_0 X1)False)v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v4_bcialg_3 X1False)(m1_subset_1 (esk24_1 X1) (u1_struct_0 X1)False)v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v4_bcialg_3 X1False)(m1_subset_1 (esk6_1 X1) (u1_struct_0 X1)False)v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v4_bcialg_3 X1False)(m1_subset_1 (esk5_1 X1) (u1_struct_0 X1)False)v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1l2_bcialg_1 X1False)(∀X2 X1 X3, (m1_subset_1 X1 X3False)r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)((m2_subset_1 esk2_0 (u1_struct_0 esk1_0) (k5_bcialg_1 esk1_0)False)v4_bcialg_3 esk1_0False)(∀X2 X1, (r2_hidden (esk26_2 X1 X2) X2False)r2_hidden X1 X2False)(∀X2 X1 X3, v1_xboole_0 X3r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X1, (v2_struct_0 X1False)v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1l2_bcialg_1 X1v1_xboole_0 (k5_bcialg_1 X1)False)(∀X1, (v7_struct_0 X1False)(m1_subset_1 (esk22_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk23_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, ((a_1_1_bcialg_1 X1) = (k5_bcialg_1 X1)False)(v2_struct_0 X1False)v3_bcialg_1 X1v4_bcialg_1 X1v5_bcialg_1 X1v7_bcialg_1 X1l2_bcialg_1 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 (esk19_1 X1) X1False)(∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2)False)r1_tarski X1 X2False)(∀X1, (v2_struct_0 X1False)(v7_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 (esk8_1 X1) (u1_struct_0 X1)False)l2_bcialg_1 X1False)(∀X1, (v2_struct_0 X1False)(v5_bcialg_1 X1False)(m1_subset_1 (esk7_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 (esk19_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 (esk18_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, (v2_struct_0 X1False)(v7_bcialg_1 X1False)(esk9_1 X1) = (esk8_1 X1)l2_bcialg_1 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 (esk22_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 (esk23_1 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 (u1_struct_0 X1)False)(∀X1, (v9_struct_0 (esk18_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 (esk21_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 esk20_0False)(v2_struct_0 esk1_0False)(∀X1, (m1_subset_1 (esk14_1 X1) X1False)False)(∀X1, (r1_tarski X1 X1False)False)((l2_struct_0 esk20_0False)False)((l2_struct_0 esk13_0False)False)((l1_bcialg_1 esk10_0False)False)((v7_struct_0 esk20_0False)False)((l1_struct_0 esk11_0False)False)((l2_bcialg_1 esk12_0False)False)((l2_bcialg_1 esk1_0False)False)((v7_bcialg_1 esk1_0False)False)((v5_bcialg_1 esk1_0False)False)((v4_bcialg_1 esk1_0False)False)((v3_bcialg_1 esk1_0False)False)False
Proof:
The rest of the proof is missing.