Theorem. (
l10_parsp_2)
∀v3_rlvect_1 : set → prop, ∀esk8_1 : set → set, ∀esk9_1 : set → set, ∀esk7_1 : set → set, ∀l1_algstr_0 : set → prop, ∀k4_algstr_0 : set → set → set, ∀v13_algstr_0 : set → prop, ∀v4_rlvect_1 : set → prop, ∀v2_vectsp_1 : set → prop, ∀v5_group_1 : set → prop, ∀l3_algstr_0 : set → prop, ∀k8_group_1 : set → set → set → set, ∀k3_rlvect_1 : set → set → set → set, ∀v2_rlvect_1 : set → prop, ∀k4_struct_0 : set → set, ∀l4_algstr_0 : set → prop, ∀k5_struct_0 : set → set, ∀esk13_1 : set → set, ∀v6_vectsp_1 : set → prop, ∀v6_struct_0 : set → prop, ∀l4_struct_0 : set → prop, ∀esk26_1 : set → set, ∀l3_struct_0 : set → prop, ∀v8_struct_0 : set → prop, ∀v1_finset_1 : set → prop, ∀v1_xboole_0 : set → prop, ∀esk31_0 : set, ∀esk33_0 : set, ∀esk30_0 : set, ∀esk25_0 : set, ∀esk22_0 : set, ∀esk16_0 : set, ∀esk18_0 : set, ∀esk21_0 : set, ∀esk15_0 : set, ∀v33_algstr_0 : set → prop, ∀v3_group_1 : set → prop, ∀esk23_0 : set, ∀esk20_0 : set, ∀esk14_0 : set, ∀esk17_0 : set, ∀esk19_0 : set, ∀esk28_0 : set, ∀esk24_1 : set → set, ∀esk29_0 : set, ∀esk32_0 : set, ∀esk1_0 : set, ∀esk2_0 : set, ∀esk4_0 : set, ∀esk3_0 : set, ∀esk5_0 : set, ∀esk6_0 : set, ∀l5_algstr_0 : set → prop, ∀v4_vectsp_1 : set → prop, ∀v1_zfmisc_1 : set → prop, ∀v1_vectsp_1 : set → prop, ∀v1_group_1 : set → prop, ∀v3_vectsp_1 : set → prop, ∀k1_xboole_0 : set, ∀k1_group_1 : set → set, ∀l1_struct_0 : set → prop, ∀np__1 : set, ∀v13_struct_0 : set → set → prop, ∀l2_struct_0 : set → prop, ∀esk27_1 : set → set, ∀v9_struct_0 : set → set → prop, ∀v7_struct_0 : set → prop, ∀l2_algstr_0 : set → prop, ∀k5_algstr_0 : set → set → set → set, ∀u1_struct_0 : set → set, ∀m1_subset_1 : set → set → prop, ∀v5_vectsp_1 : set → prop, ∀l6_algstr_0 : set → prop, ∀k6_algstr_0 : set → set → set → set, ∀esk10_1 : set → set, ∀k1_algstr_0 : set → set → set → set, ∀esk12_1 : set → set, ∀esk11_1 : set → set, ∀v2_struct_0 : set → prop, (∀X1, (v2_struct_0 X1 → False) → (v5_vectsp_1 X1 → False) → (k1_algstr_0 X1 (k6_algstr_0 X1 (esk10_1 X1) (esk11_1 X1)) (k6_algstr_0 X1 (esk10_1 X1) (esk12_1 X1))) = (k6_algstr_0 X1 (esk10_1 X1) (k1_algstr_0 X1 (esk11_1 X1) (esk12_1 X1))) → (k1_algstr_0 X1 (k6_algstr_0 X1 (esk11_1 X1) (esk10_1 X1)) (k6_algstr_0 X1 (esk12_1 X1) (esk10_1 X1))) = (k6_algstr_0 X1 (k1_algstr_0 X1 (esk11_1 X1) (esk12_1 X1)) (esk10_1 X1)) → l6_algstr_0 X1 → False) → (∀X1, (v3_rlvect_1 X1 → False) → (k1_algstr_0 X1 (k1_algstr_0 X1 (esk7_1 X1) (esk8_1 X1)) (esk9_1 X1)) = (k1_algstr_0 X1 (esk7_1 X1) (k1_algstr_0 X1 (esk8_1 X1) (esk9_1 X1))) → l1_algstr_0 X1 → False) → (∀X4 X3 X2 X1, ((k1_algstr_0 X1 (k6_algstr_0 X1 X2 X4) (k6_algstr_0 X1 X3 X4)) = (k6_algstr_0 X1 (k1_algstr_0 X1 X2 X3) X4) → False) → (v2_struct_0 X1 → False) → v5_vectsp_1 X1 → l6_algstr_0 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_algstr_0 X1 (k6_algstr_0 X1 X2 X3) (k6_algstr_0 X1 X2 X4)) = (k6_algstr_0 X1 X2 (k1_algstr_0 X1 X3 X4)) → False) → (v2_struct_0 X1 → False) → v5_vectsp_1 X1 → l6_algstr_0 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, ((k1_algstr_0 X1 (k1_algstr_0 X1 X2 X3) X4) = (k1_algstr_0 X1 X2 (k1_algstr_0 X1 X3 X4)) → False) → v3_rlvect_1 X1 → l1_algstr_0 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) → (∀X3 X2 X1, ((k6_algstr_0 X1 (k4_algstr_0 X1 X2) X3) = (k4_algstr_0 X1 (k6_algstr_0 X1 X2 X3)) → False) → (v2_struct_0 X1 → False) → v13_algstr_0 X1 → v3_rlvect_1 X1 → v4_rlvect_1 X1 → l6_algstr_0 X1 → v2_vectsp_1 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, ((k1_algstr_0 X1 X3 (k4_algstr_0 X1 X2)) = (k4_algstr_0 X1 (k5_algstr_0 X1 X2 X3)) → False) → (v2_struct_0 X1 → False) → v13_algstr_0 X1 → v3_rlvect_1 X1 → v4_rlvect_1 X1 → l2_algstr_0 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (k8_group_1 X1 X2 X3) (u1_struct_0 X1) → False) → v5_group_1 X1 → l3_algstr_0 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, ((k1_algstr_0 X1 X2 (k4_algstr_0 X1 X3)) = (k5_algstr_0 X1 X2 X3) → False) → l2_algstr_0 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X3 X2 X1, (m1_subset_1 (k3_rlvect_1 X1 X2 X3) (u1_struct_0 X1) → False) → v2_rlvect_1 X1 → l1_algstr_0 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, (m1_subset_1 (k6_algstr_0 X1 X2 X3) (u1_struct_0 X1) → False) → l3_algstr_0 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, (m1_subset_1 (k1_algstr_0 X1 X2 X3) (u1_struct_0 X1) → False) → l1_algstr_0 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, (m1_subset_1 (k5_algstr_0 X1 X2 X3) (u1_struct_0 X1) → False) → l2_algstr_0 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, ((k6_algstr_0 X1 X2 X3) = (k8_group_1 X1 X2 X3) → False) → (v2_struct_0 X1 → False) → v5_group_1 X1 → l3_algstr_0 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, ((k8_group_1 X1 X2 X3) = (k8_group_1 X1 X3 X2) → False) → (v2_struct_0 X1 → False) → v5_group_1 X1 → l3_algstr_0 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X3 X2 X1, ((k3_rlvect_1 X1 X2 X3) = (k1_algstr_0 X1 X2 X3) → False) → v2_rlvect_1 X1 → l1_algstr_0 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X3 X2 X1, ((k3_rlvect_1 X1 X2 X3) = (k3_rlvect_1 X1 X3 X2) → False) → v2_rlvect_1 X1 → l1_algstr_0 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X1, ((k1_algstr_0 X1 (k4_algstr_0 X1 X2) X2) = (k4_struct_0 X1) → False) → (v2_struct_0 X1 → False) → v13_algstr_0 X1 → v3_rlvect_1 X1 → v4_rlvect_1 X1 → l2_algstr_0 X1 → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X1, ((k1_algstr_0 X1 X2 (k4_algstr_0 X1 X2)) = (k4_struct_0 X1) → False) → (v2_struct_0 X1 → False) → v13_algstr_0 X1 → v3_rlvect_1 X1 → v4_rlvect_1 X1 → l2_algstr_0 X1 → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → (v6_vectsp_1 X1 → False) → (k6_algstr_0 X1 (k5_struct_0 X1) (esk13_1 X1)) = (esk13_1 X1) → l4_algstr_0 X1 → False) → (∀X2 X1, ((k1_algstr_0 X1 (k4_struct_0 X1) X2) = X2 → False) → (v2_struct_0 X1 → False) → v13_algstr_0 X1 → v3_rlvect_1 X1 → v4_rlvect_1 X1 → l2_algstr_0 X1 → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X1, ((k1_algstr_0 X1 X2 (k4_struct_0 X1)) = X2 → False) → (v2_struct_0 X1 → False) → v13_algstr_0 X1 → v3_rlvect_1 X1 → v4_rlvect_1 X1 → l2_algstr_0 X1 → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X1, ((k6_algstr_0 X1 (k5_struct_0 X1) X2) = X2 → False) → (v2_struct_0 X1 → False) → l4_algstr_0 X1 → v6_vectsp_1 X1 → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X1, (m1_subset_1 (k4_algstr_0 X1 X2) (u1_struct_0 X1) → False) → l2_algstr_0 X1 → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X1, (v7_struct_0 X1 → False) → l2_struct_0 X1 → v9_struct_0 (esk27_1 X1) X1 → False) → (∀X1, (v6_struct_0 X1 → False) → l4_struct_0 X1 → v9_struct_0 (k5_struct_0 X1) X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v6_vectsp_1 X1 → False) → (m1_subset_1 (esk13_1 X1) (u1_struct_0 X1) → False) → l4_algstr_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v5_vectsp_1 X1 → False) → (m1_subset_1 (esk12_1 X1) (u1_struct_0 X1) → False) → l6_algstr_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v5_vectsp_1 X1 → False) → (m1_subset_1 (esk11_1 X1) (u1_struct_0 X1) → False) → l6_algstr_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v5_vectsp_1 X1 → False) → (m1_subset_1 (esk10_1 X1) (u1_struct_0 X1) → False) → l6_algstr_0 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → (m1_subset_1 (esk27_1 X1) (u1_struct_0 X1) → False) → l2_struct_0 X1 → False) → (∀X1, (v3_rlvect_1 X1 → False) → (m1_subset_1 (esk9_1 X1) (u1_struct_0 X1) → False) → l1_algstr_0 X1 → False) → (∀X1, (v3_rlvect_1 X1 → False) → (m1_subset_1 (esk8_1 X1) (u1_struct_0 X1) → False) → l1_algstr_0 X1 → False) → (∀X1, (v3_rlvect_1 X1 → False) → (m1_subset_1 (esk7_1 X1) (u1_struct_0 X1) → False) → l1_algstr_0 X1 → False) → (∀X1, v2_struct_0 X1 → l1_struct_0 X1 → v13_struct_0 X1 np__1 → False) → (∀X1, (m1_subset_1 (esk26_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, (m1_subset_1 (k5_struct_0 X1) (u1_struct_0 X1) → False) → l3_struct_0 X1 → False) → (∀X1, (m1_subset_1 (k1_group_1 X1) (u1_struct_0 X1) → False) → l3_algstr_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, (v2_struct_0 X1 → False) → (v1_group_1 X1 → False) → l4_algstr_0 X1 → v3_vectsp_1 X1 → v6_vectsp_1 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v3_vectsp_1 X1 → False) → v5_group_1 X1 → l4_algstr_0 X1 → v6_vectsp_1 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v5_vectsp_1 X1 → False) → l6_algstr_0 X1 → v1_vectsp_1 X1 → v2_vectsp_1 X1 → 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 (u1_struct_0 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (u1_struct_0 X1) → False) → (∀X1, (v9_struct_0 (esk26_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, ((k5_struct_0 X1) = (k1_group_1 X1) → False) → (v2_struct_0 X1 → False) → v4_vectsp_1 X1 → l4_algstr_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_group_1 X1 → False) → v4_vectsp_1 X1 → l4_algstr_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v6_vectsp_1 X1 → False) → v4_vectsp_1 X1 → l4_algstr_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v3_vectsp_1 X1 → False) → v4_vectsp_1 X1 → l4_algstr_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v2_vectsp_1 X1 → False) → v5_vectsp_1 X1 → l6_algstr_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_vectsp_1 X1 → False) → v5_vectsp_1 X1 → l6_algstr_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, (v6_struct_0 X1 → False) → v7_struct_0 X1 → l4_struct_0 X1 → False) → (∀X1, (l5_algstr_0 X1 → False) → l6_algstr_0 X1 → False) → (∀X1, (l3_struct_0 X1 → False) → l4_algstr_0 X1 → False) → (∀X1, (l3_struct_0 X1 → False) → l4_struct_0 X1 → False) → (∀X1, (l2_struct_0 X1 → False) → l2_algstr_0 X1 → False) → (∀X1, (l2_struct_0 X1 → False) → l4_struct_0 X1 → False) → (∀X1, (l2_algstr_0 X1 → False) → l6_algstr_0 X1 → False) → (∀X1, (l3_algstr_0 X1 → False) → l4_algstr_0 X1 → False) → (∀X1, (l1_algstr_0 X1 → False) → l2_algstr_0 X1 → False) → (∀X1, (l4_algstr_0 X1 → False) → l5_algstr_0 X1 → False) → (∀X1, (l4_struct_0 X1 → False) → l5_algstr_0 X1 → False) → (∀X1, (l1_struct_0 X1 → False) → l3_struct_0 X1 → False) → (∀X1, (l1_struct_0 X1 → False) → l2_struct_0 X1 → False) → (∀X1, (l1_struct_0 X1 → False) → l3_algstr_0 X1 → False) → (∀X1, (l1_struct_0 X1 → False) → l1_algstr_0 X1 → False) → ((k8_group_1 esk1_0 (k3_rlvect_1 esk1_0 esk5_0 (k4_algstr_0 esk1_0 (k1_group_1 esk1_0))) (k5_algstr_0 esk1_0 esk3_0 esk6_0)) = (k8_group_1 esk1_0 (k3_rlvect_1 esk1_0 esk2_0 (k4_algstr_0 esk1_0 (k1_group_1 esk1_0))) (k5_algstr_0 esk1_0 esk3_0 esk4_0)) → False) → (v1_xboole_0 esk31_0 → False) → (v6_struct_0 esk1_0 → False) → (v2_struct_0 esk33_0 → False) → (v2_struct_0 esk32_0 → False) → (v2_struct_0 esk30_0 → False) → (v2_struct_0 esk29_0 → False) → (v2_struct_0 esk25_0 → False) → (v2_struct_0 esk1_0 → False) → (((k5_algstr_0 esk1_0 (k8_group_1 esk1_0 esk2_0 (k5_algstr_0 esk1_0 esk3_0 esk4_0)) (k8_group_1 esk1_0 esk5_0 (k5_algstr_0 esk1_0 esk3_0 esk6_0))) = (k5_algstr_0 esk1_0 esk6_0 esk4_0) → False) → False) → (∀X1, (m1_subset_1 (esk24_1 X1) X1 → False) → False) → ((m1_subset_1 esk6_0 (u1_struct_0 esk1_0) → False) → False) → ((m1_subset_1 esk5_0 (u1_struct_0 esk1_0) → False) → False) → ((m1_subset_1 esk4_0 (u1_struct_0 esk1_0) → False) → False) → ((m1_subset_1 esk3_0 (u1_struct_0 esk1_0) → False) → False) → ((m1_subset_1 esk2_0 (u1_struct_0 esk1_0) → False) → False) → ((v1_xboole_0 esk28_0 → False) → False) → ((v1_xboole_0 k1_xboole_0 → False) → False) → ((l5_algstr_0 esk30_0 → False) → False) → ((l5_algstr_0 esk22_0 → False) → False) → ((l3_struct_0 esk19_0 → False) → False) → ((l2_struct_0 esk29_0 → False) → False) → ((l2_struct_0 esk17_0 → False) → False) → ((l2_algstr_0 esk16_0 → False) → False) → ((l3_algstr_0 esk32_0 → False) → False) → ((l3_algstr_0 esk18_0 → False) → False) → ((l1_algstr_0 esk14_0 → False) → False) → ((v1_group_1 esk33_0 → False) → False) → ((l4_algstr_0 esk33_0 → False) → False) → ((l4_algstr_0 esk25_0 → False) → False) → ((l4_algstr_0 esk20_0 → False) → False) → ((l4_struct_0 esk21_0 → False) → False) → ((v7_struct_0 esk29_0 → False) → False) → ((l1_struct_0 esk15_0 → False) → False) → ((l6_algstr_0 esk23_0 → False) → False) → ((l6_algstr_0 esk1_0 → False) → False) → ((v4_rlvect_1 esk1_0 → False) → False) → ((v3_rlvect_1 esk1_0 → False) → False) → ((v2_rlvect_1 esk1_0 → False) → False) → ((v5_vectsp_1 esk1_0 → False) → False) → ((v4_vectsp_1 esk30_0 → False) → False) → ((v4_vectsp_1 esk25_0 → False) → False) → ((v4_vectsp_1 esk1_0 → False) → False) → ((v5_group_1 esk33_0 → False) → False) → ((v5_group_1 esk32_0 → False) → False) → ((v5_group_1 esk1_0 → False) → False) → ((v3_group_1 esk33_0 → False) → False) → ((v3_group_1 esk32_0 → False) → False) → ((v3_group_1 esk1_0 → False) → False) → ((v33_algstr_0 esk1_0 → False) → False) → ((v13_algstr_0 esk1_0 → False) → False) → False