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