Theorem. (
l19_hessenbe)
∀v2_struct_0 : set → prop, ∀v2_collsp : set → prop, ∀v4_collsp : set → prop, ∀v3_anproj_2 : set → prop, ∀v7_anproj_2 : set → prop, ∀l1_collsp : set → prop, ∀v6_anproj_2 : set → prop, ∀v2_anproj_2 : set → prop, ∀v3_collsp : set → prop, ∀esk19_1 : set → set, ∀esk1_0 : set, ∀esk10_0 : set, ∀esk11_0 : set, ∀esk9_0 : set, ∀esk8_0 : set, ∀esk6_0 : set, ∀esk22_1 : set → set, ∀esk20_0 : set, ∀esk21_0 : set, ∀esk3_0 : set, ∀esk5_0 : set, ∀esk7_0 : set, ∀esk23_0 : set, ∀esk4_0 : set, ∀esk2_0 : set, ∀l1_struct_0 : set → prop, ∀v5_anproj_2 : set → prop, ∀esk15_1 : set → set, ∀esk16_1 : set → set, ∀esk13_1 : set → set, ∀esk14_1 : set → set, ∀esk17_1 : set → set, ∀esk18_1 : set → set, ∀esk12_5 : set → set → set → set → set → set, ∀epred1_2 : set → set → prop, ∀epred2_10 : set → set → set → set → set → set → set → set → set → set → prop, ∀m1_subset_1 : set → set → prop, ∀u1_struct_0 : set → set, ∀r1_collsp : set → set → set → set → prop, (∀X7 X6 X2 X12 X3 X11 X4 X1 X5 X9 X8 X10, (X8 = X10 → False) → (X6 = X7 → False) → (X5 = X9 → False) → (X2 = X10 → False) → (X2 = X9 → False) → (X2 = X7 → False) → (r1_collsp X1 X3 X11 X4 → False) → (r1_collsp X1 X3 X4 X12 → False) → (r1_collsp X1 X2 X8 X6 → False) → (r1_collsp X1 X2 X8 X5 → False) → (r1_collsp X1 X2 X5 X6 → False) → (r1_collsp X1 X2 X3 X4 → False) → m1_subset_1 X12 (u1_struct_0 X1) → m1_subset_1 X11 (u1_struct_0 X1) → r1_collsp X1 X10 X9 X4 → r1_collsp X1 X10 X7 X11 → r1_collsp X1 X9 X7 X3 → r1_collsp X1 X8 X6 X12 → r1_collsp X1 X8 X6 X11 → r1_collsp X1 X8 X5 X4 → r1_collsp X1 X5 X6 X3 → r1_collsp X1 X2 X8 X10 → r1_collsp X1 X2 X6 X7 → r1_collsp X1 X2 X5 X12 → r1_collsp X1 X2 X5 X9 → epred2_10 X1 X2 X3 X4 X5 X6 X7 X8 X9 X10 → False) → (∀X10 X8 X6 X4 X3 X2 X5 X7 X9 X1, (v2_struct_0 X1 → False) → (epred2_10 X1 X2 X9 X10 X6 X8 X7 X4 X5 X3 → False) → v2_collsp X1 → v3_collsp X1 → v4_collsp X1 → v2_anproj_2 X1 → v3_anproj_2 X1 → v6_anproj_2 X1 → v7_anproj_2 X1 → l1_collsp X1 → m1_subset_1 X10 (u1_struct_0 X1) → m1_subset_1 X9 (u1_struct_0 X1) → m1_subset_1 X8 (u1_struct_0 X1) → m1_subset_1 X7 (u1_struct_0 X1) → m1_subset_1 X6 (u1_struct_0 X1) → m1_subset_1 X5 (u1_struct_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 X8 X7 X4 X6 X9 X10 X11 X1 X3 X5, (X3 = X5 → False) → (X2 = X5 → False) → (r1_collsp X1 X9 X10 X11 → False) → (r1_collsp X1 X5 X7 X8 → False) → (r1_collsp X1 X5 X6 X8 → False) → (r1_collsp X1 X5 X6 X7 → False) → epred1_2 X1 X5 → m1_subset_1 X11 (u1_struct_0 X1) → m1_subset_1 X10 (u1_struct_0 X1) → m1_subset_1 X9 (u1_struct_0 X1) → m1_subset_1 X8 (u1_struct_0 X1) → m1_subset_1 X7 (u1_struct_0 X1) → m1_subset_1 X6 (u1_struct_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) → r1_collsp X1 X7 X8 X9 → r1_collsp X1 X6 X8 X10 → r1_collsp X1 X6 X7 X11 → r1_collsp X1 X5 X8 X4 → r1_collsp X1 X5 X7 X3 → r1_collsp X1 X5 X6 X2 → r1_collsp X1 X3 X4 X9 → r1_collsp X1 X2 X4 X10 → r1_collsp X1 X2 X3 X11 → r1_collsp X1 X2 X3 X4 → False) → (∀X6 X4 X3 X11 X2 X8 X9 X10 X1 X5 X7, (X5 = X7 → False) → (X5 = X6 → False) → (r1_collsp X1 X8 X9 X10 → False) → (r1_collsp X1 X5 X3 X4 → False) → (r1_collsp X1 X5 X2 X4 → False) → (r1_collsp X1 X5 X2 X3 → False) → epred1_2 X1 X5 → m1_subset_1 X11 (u1_struct_0 X1) → m1_subset_1 X10 (u1_struct_0 X1) → m1_subset_1 X9 (u1_struct_0 X1) → m1_subset_1 X8 (u1_struct_0 X1) → m1_subset_1 X7 (u1_struct_0 X1) → m1_subset_1 X6 (u1_struct_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) → r1_collsp X1 X7 X11 X8 → r1_collsp X1 X6 X11 X9 → r1_collsp X1 X6 X7 X10 → r1_collsp X1 X5 X4 X11 → r1_collsp X1 X5 X3 X7 → r1_collsp X1 X5 X2 X6 → r1_collsp X1 X3 X4 X8 → r1_collsp X1 X2 X4 X9 → r1_collsp X1 X2 X3 X10 → r1_collsp X1 X2 X3 X4 → False) → (∀X4 X3 X2 X5 X1, (v2_struct_0 X1 → False) → (r1_collsp X1 X2 X3 (esk12_5 X1 X2 X3 X4 X5) → False) → v2_collsp X1 → v3_collsp X1 → v4_collsp X1 → v2_anproj_2 X1 → v3_anproj_2 X1 → v7_anproj_2 X1 → l1_collsp X1 → m1_subset_1 X5 (u1_struct_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 X5 X1, (v2_struct_0 X1 → False) → (r1_collsp X1 X2 X3 (esk12_5 X1 X4 X5 X2 X3) → False) → v2_collsp X1 → v3_collsp X1 → v4_collsp X1 → v2_anproj_2 X1 → v3_anproj_2 X1 → v7_anproj_2 X1 → l1_collsp X1 → m1_subset_1 X5 (u1_struct_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 X5 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk12_5 X1 X2 X3 X4 X5) (u1_struct_0 X1) → False) → v2_collsp X1 → v3_collsp X1 → v4_collsp X1 → v2_anproj_2 X1 → v3_anproj_2 X1 → v7_anproj_2 X1 → l1_collsp X1 → m1_subset_1 X5 (u1_struct_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) → (∀X5 X4 X1 X2 X3 X6 X7, (X6 = X7 → False) → (X4 = X5 → False) → (X2 = X3 → False) → (v2_struct_0 X1 → False) → (r1_collsp X1 X2 X3 X4 → False) → v2_collsp X1 → v3_collsp X1 → v4_collsp X1 → v2_anproj_2 X1 → v3_anproj_2 X1 → l1_collsp X1 → m1_subset_1 X7 (u1_struct_0 X1) → m1_subset_1 X6 (u1_struct_0 X1) → m1_subset_1 X5 (u1_struct_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) → r1_collsp X1 X4 X5 X7 → r1_collsp X1 X4 X5 X6 → r1_collsp X1 X2 X3 X7 → r1_collsp X1 X2 X3 X6 → False) → (∀X6 X2 X3 X7 X1 X4 X5, (X4 = X5 → False) → (X2 = X6 → False) → (v2_struct_0 X1 → False) → (r1_collsp X1 X2 X3 X4 → False) → X4 = X7 → v2_collsp X1 → v3_collsp X1 → v4_collsp X1 → v2_anproj_2 X1 → v3_anproj_2 X1 → l1_collsp X1 → m1_subset_1 X7 (u1_struct_0 X1) → m1_subset_1 X6 (u1_struct_0 X1) → m1_subset_1 X5 (u1_struct_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) → r1_collsp X1 X6 X5 X7 → r1_collsp X1 X2 X4 X5 → r1_collsp X1 X2 X3 X6 → False) → (∀X5 X4 X3 X1 X2 X6, (X2 = X6 → False) → (X2 = X5 → False) → (v2_struct_0 X1 → False) → (r1_collsp X1 X2 X3 X4 → False) → v2_collsp X1 → v3_collsp X1 → v4_collsp X1 → v2_anproj_2 X1 → v3_anproj_2 X1 → l1_collsp X1 → m1_subset_1 X6 (u1_struct_0 X1) → m1_subset_1 X5 (u1_struct_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) → r1_collsp X1 X2 X5 X6 → r1_collsp X1 X2 X4 X6 → r1_collsp X1 X2 X3 X5 → False) → (∀X1, (v2_struct_0 X1 → False) → (v2_collsp X1 → False) → l1_collsp X1 → r1_collsp X1 (esk17_1 X1) (esk17_1 X1) (esk18_1 X1) → r1_collsp X1 (esk17_1 X1) (esk18_1 X1) (esk17_1 X1) → r1_collsp X1 (esk17_1 X1) (esk18_1 X1) (esk18_1 X1) → False) → (∀X1 X4 X5 X2 X3, (X2 = X3 → False) → (v2_struct_0 X1 → False) → (r1_collsp X1 X2 X4 X5 → False) → v2_collsp X1 → v3_collsp X1 → v4_collsp X1 → v2_anproj_2 X1 → v3_anproj_2 X1 → l1_collsp X1 → m1_subset_1 X5 (u1_struct_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) → r1_collsp X1 X2 X3 X5 → r1_collsp X1 X2 X3 X4 → False) → (∀X1 X3 X4 X2 X5, (X2 = X5 → False) → (v2_struct_0 X1 → False) → (r1_collsp X1 X2 X3 X4 → False) → v2_collsp X1 → v3_collsp X1 → v4_collsp X1 → v2_anproj_2 X1 → v3_anproj_2 X1 → l1_collsp X1 → m1_subset_1 X5 (u1_struct_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) → r1_collsp X1 X2 X4 X5 → r1_collsp X1 X2 X3 X5 → False) → (∀X1 X3 X4 X2 X5, (X2 = X5 → False) → (v2_struct_0 X1 → False) → (r1_collsp X1 X2 X3 X4 → False) → v2_collsp X1 → v3_collsp X1 → v4_collsp X1 → v2_anproj_2 X1 → v3_anproj_2 X1 → l1_collsp X1 → m1_subset_1 X5 (u1_struct_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) → r1_collsp X1 X2 X5 X4 → r1_collsp X1 X2 X3 X5 → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (v7_anproj_2 X2 → False) → v2_collsp X2 → v3_collsp X2 → v4_collsp X2 → v2_anproj_2 X2 → v3_anproj_2 X2 → l1_collsp X2 → m1_subset_1 X1 (u1_struct_0 X2) → r1_collsp X2 (esk13_1 X2) (esk14_1 X2) X1 → r1_collsp X2 (esk15_1 X2) (esk16_1 X2) X1 → False) → (∀X4 X2 X3 X1, (v2_struct_0 X1 → False) → (r1_collsp X1 X2 X3 X4 → False) → v2_collsp X1 → v3_collsp X1 → v4_collsp X1 → v2_anproj_2 X1 → v3_anproj_2 X1 → l1_collsp 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) → r1_collsp X1 X2 X4 X3 → False) → (∀X4 X2 X3 X1, (v2_struct_0 X1 → False) → (r1_collsp X1 X2 X3 X4 → False) → v2_collsp X1 → v3_collsp X1 → v4_collsp X1 → v2_anproj_2 X1 → v3_anproj_2 X1 → l1_collsp 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) → r1_collsp X1 X3 X2 X4 → False) → (∀X4 X2 X3 X1, (v2_struct_0 X1 → False) → (r1_collsp X1 X2 X3 X4 → False) → v2_collsp X1 → v3_collsp X1 → v4_collsp X1 → v2_anproj_2 X1 → v3_anproj_2 X1 → l1_collsp 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) → r1_collsp X1 X3 X4 X2 → False) → (∀X4 X2 X3 X1, (v2_struct_0 X1 → False) → (r1_collsp X1 X2 X3 X4 → False) → v2_collsp X1 → v3_collsp X1 → v4_collsp X1 → v2_anproj_2 X1 → v3_anproj_2 X1 → l1_collsp 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) → r1_collsp X1 X4 X2 X3 → False) → (∀X4 X2 X3 X1, (v2_struct_0 X1 → False) → (r1_collsp X1 X2 X3 X4 → False) → v2_collsp X1 → v3_collsp X1 → v4_collsp X1 → v2_anproj_2 X1 → v3_anproj_2 X1 → l1_collsp 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) → r1_collsp X1 X4 X3 X2 → False) → (∀X3 X2 X4 X1, (v2_struct_0 X1 → False) → (r1_collsp X1 X2 X2 X3 → False) → v2_collsp X1 → l1_collsp 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 X4 X1, (v2_struct_0 X1 → False) → (r1_collsp X1 X2 X3 X2 → False) → v2_collsp X1 → l1_collsp 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_collsp X1 X2 X3 X3 → False) → v2_collsp X1 → l1_collsp 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) → (epred1_2 X1 X2 → False) → v2_collsp X1 → v3_collsp X1 → v4_collsp X1 → v2_anproj_2 X1 → v3_anproj_2 X1 → v6_anproj_2 X1 → v7_anproj_2 X1 → l1_collsp X1 → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → (v7_anproj_2 X1 → False) → (m1_subset_1 (esk16_1 X1) (u1_struct_0 X1) → False) → v2_collsp X1 → v3_collsp X1 → v4_collsp X1 → v2_anproj_2 X1 → v3_anproj_2 X1 → l1_collsp X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v7_anproj_2 X1 → False) → (m1_subset_1 (esk15_1 X1) (u1_struct_0 X1) → False) → v2_collsp X1 → v3_collsp X1 → v4_collsp X1 → v2_anproj_2 X1 → v3_anproj_2 X1 → l1_collsp X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v7_anproj_2 X1 → False) → (m1_subset_1 (esk14_1 X1) (u1_struct_0 X1) → False) → v2_collsp X1 → v3_collsp X1 → v4_collsp X1 → v2_anproj_2 X1 → v3_anproj_2 X1 → l1_collsp X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v7_anproj_2 X1 → False) → (m1_subset_1 (esk13_1 X1) (u1_struct_0 X1) → False) → v2_collsp X1 → v3_collsp X1 → v4_collsp X1 → v2_anproj_2 X1 → v3_anproj_2 X1 → l1_collsp X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v7_anproj_2 X1 → False) → (v5_anproj_2 X1 → False) → v2_collsp X1 → v3_collsp X1 → v4_collsp X1 → v2_anproj_2 X1 → v3_anproj_2 X1 → l1_collsp X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v2_collsp X1 → False) → (m1_subset_1 (esk19_1 X1) (u1_struct_0 X1) → False) → l1_collsp X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v2_collsp X1 → False) → (m1_subset_1 (esk18_1 X1) (u1_struct_0 X1) → False) → l1_collsp X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v2_collsp X1 → False) → (m1_subset_1 (esk17_1 X1) (u1_struct_0 X1) → False) → l1_collsp X1 → False) → (∀X1, (l1_struct_0 X1 → False) → l1_collsp X1 → False) → (r1_collsp esk1_0 esk9_0 esk11_0 esk10_0 → False) → (r1_collsp esk1_0 esk2_0 esk9_0 esk10_0 → False) → (r1_collsp esk1_0 esk2_0 esk6_0 esk8_0 → False) → (r1_collsp esk1_0 esk2_0 esk4_0 esk8_0 → False) → (r1_collsp esk1_0 esk2_0 esk4_0 esk6_0 → False) → (v2_struct_0 esk23_0 → False) → (v2_struct_0 esk1_0 → False) → (esk8_0 = esk7_0 → False) → (esk7_0 = esk2_0 → False) → (esk6_0 = esk5_0 → False) → (esk5_0 = esk2_0 → False) → (esk4_0 = esk3_0 → False) → (esk3_0 = esk2_0 → False) → ((r1_collsp esk1_0 esk6_0 esk8_0 esk9_0 → False) → False) → ((r1_collsp esk1_0 esk5_0 esk7_0 esk9_0 → False) → False) → ((r1_collsp esk1_0 esk4_0 esk8_0 esk11_0 → False) → False) → ((r1_collsp esk1_0 esk4_0 esk6_0 esk10_0 → False) → False) → ((r1_collsp esk1_0 esk3_0 esk7_0 esk11_0 → False) → False) → ((r1_collsp esk1_0 esk3_0 esk5_0 esk10_0 → False) → False) → ((r1_collsp esk1_0 esk2_0 esk8_0 esk7_0 → False) → False) → ((r1_collsp esk1_0 esk2_0 esk6_0 esk5_0 → False) → False) → ((r1_collsp esk1_0 esk2_0 esk4_0 esk3_0 → False) → False) → (∀X1, (m1_subset_1 (esk22_1 X1) X1 → False) → False) → ((m1_subset_1 esk11_0 (u1_struct_0 esk1_0) → False) → False) → ((m1_subset_1 esk10_0 (u1_struct_0 esk1_0) → False) → False) → ((m1_subset_1 esk9_0 (u1_struct_0 esk1_0) → False) → False) → ((m1_subset_1 esk8_0 (u1_struct_0 esk1_0) → False) → False) → ((m1_subset_1 esk7_0 (u1_struct_0 esk1_0) → 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) → ((l1_struct_0 esk21_0 → False) → False) → ((l1_collsp esk23_0 → False) → False) → ((l1_collsp esk20_0 → False) → False) → ((l1_collsp esk1_0 → False) → False) → ((v7_anproj_2 esk1_0 → False) → False) → ((v6_anproj_2 esk1_0 → False) → False) → ((v3_anproj_2 esk23_0 → False) → False) → ((v3_anproj_2 esk1_0 → False) → False) → ((v2_anproj_2 esk23_0 → False) → False) → ((v2_anproj_2 esk1_0 → False) → False) → ((v4_collsp esk23_0 → False) → False) → ((v4_collsp esk1_0 → False) → False) → ((v3_collsp esk23_0 → False) → False) → ((v3_collsp esk1_0 → False) → False) → ((v2_collsp esk23_0 → False) → False) → ((v2_collsp esk1_0 → False) → False) → False