Apply unknownprop_e284d5f5a7c3a1c03631041619c4ddee06de72330506f5f6d9d6b18df929e48c with
∀ x0 : (ι → ι) → ((ι → ι) → ι → ι → ι) → ι → ο . ∀ x1 : (ι → ((ι → ι → ι) → ι) → ι) → (ι → ι → ι → ι) → ο . ∀ x2 : (ι → ι → ι) → ι → ο . ∀ x3 : (((ι → ι) → ((ι → ι) → ι → ι) → ι → ι → ι) → ((ι → ι → ι) → (ι → ι) → ι) → ι) → ι → ι → ο . ... ⟶ ... ⟶ (∀ x4 : (ι → (ι → ι) → ι → ι) → (ι → ι) → ι → ι → ι . ∀ x5 : ι → (ι → ι) → ι . ∀ x6 : (ι → (ι → ι) → ι) → (ι → ι → ι) → ι . ∀ x7 : (ι → (ι → ι) → ι) → ((ι → ι) → ι → ι) → ι . In (x5 0 (λ x8 . Inj1 x8)) (Inj1 (x4 (λ x8 . λ x9 : ι → ι . λ x10 . Inj0 (Inj1 0)) (λ x8 . 0) ... 0)) ⟶ x2 (λ x8 x9 . Inj1 (setsum (x6 (λ x10 . λ x11 : ι → ι . Inj1 0) (λ x10 x11 . 0)) (x6 (λ x10 . λ x11 : ι → ι . 0) (λ x10 x11 . x9)))) (setsum (setsum (setsum (setsum 0 0) (setsum 0 0)) (setsum (Inj1 0) (Inj1 0))) 0)) ⟶ (∀ x4 : ι → (ι → ι) → ι . ∀ x5 . ∀ x6 : ((ι → ι) → ι → ι → ι) → ι . ∀ x7 . x2 (λ x8 x9 . setsum x9 (Inj1 (setsum (setsum 0 0) 0))) (setsum (x4 (setsum (Inj1 0) (setsum 0 0)) (λ x8 . Inj0 x5)) (setsum (x4 (Inj1 0) (λ x8 . Inj0 0)) (Inj1 0))) ⟶ x3 (λ x8 : (ι → ι) → ((ι → ι) → ι → ι) → ι → ι → ι . λ x9 : (ι → ι → ι) → (ι → ι) → ι . Inj0 (x8 (λ x10 . 0) (λ x10 : ι → ι . λ x11 . 0) 0 (Inj1 (Inj1 0)))) (setsum (setsum (Inj0 (setsum 0 0)) x7) x5) 0) ⟶ (∀ x4 . ∀ x5 : ι → ι . ∀ x6 . ∀ x7 : (ι → ι) → ι → ι . In (Inj0 (x7 (λ x8 . 0) 0)) (Inj1 (Inj0 x4)) ⟶ x1 (λ x8 . λ x9 : (ι → ι → ι) → ι . 0) (λ x8 x9 x10 . 0)) ⟶ (∀ x4 x5 . ∀ x6 x7 : ι → ι . In (setsum 0 (setsum (x7 0) x5)) (Inj1 0) ⟶ x1 (λ x8 . λ x9 : (ι → ι → ι) → ι . 0) (λ x8 x9 x10 . Inj1 0) ⟶ x1 (λ x8 . λ x9 : (ι → ι → ι) → ι . 0) (λ x8 x9 x10 . Inj1 x8)) ⟶ (∀ x4 : ι → ((ι → ι) → ι) → (ι → ι) → ι . ∀ x5 x6 . ∀ x7 : (ι → ι) → ι . In (x4 (Inj0 (Inj1 x5)) (λ x8 : ι → ι . setsum (x7 (λ x9 . x8 0)) (x8 (setsum 0 0))) (λ x8 . 0)) (setsum (Inj1 x6) x6) ⟶ x2 (λ x8 x9 . Inj1 x9) (x7 (λ x8 . x7 (λ x9 . 0))) ⟶ x0 (λ x8 . 0) (λ x8 : ι → ι . λ x9 x10 . setsum (setsum (Inj0 x9) (Inj1 (Inj1 0))) (Inj0 (setsum (Inj0 0) (x8 0)))) (setsum x5 (setsum (setsum 0 (Inj1 0)) (x4 0 (λ x8 : ι → ι . Inj0 0) (λ x8 . x6))))) ⟶ (∀ x4 : (((ι → ι) → ι) → ι) → (ι → ι) → ι . ∀ x5 : ((ι → ι → ι) → ι) → ((ι → ι) → ι) → ι . ∀ x6 x7 . x0 (λ x8 . 0) (λ x8 : ι → ι . λ x9 x10 . setsum 0 x10) x6 ⟶ x0 (λ x8 . x7) (λ x8 : ι → ι . λ x9 x10 . x7) (setsum (Inj0 (Inj1 (x4 (λ x8 : (ι → ι) → ι . 0) (λ x8 . 0)))) (x4 (λ x8 : (ι → ι) → ι . 0) (λ x8 . Inj1 x8)))) ⟶ False.