Let x0 of type ι → ι → ο be given.
Let x1 of type ι → ι be given.
Let x2 of type ι → ι → ο be given.
Let x3 of type ι → ι → ο be given.
Let x4 of type ι be given.
Let x5 of type ι → ι → ι → ο be given.
Let x6 of type ι → ι → ι be given.
Let x7 of type ι → ι be given.
Let x8 of type ι → ο be given.
Let x9 of type ι be given.
Let x10 of type ι → ο be given.
Let x11 of type ι → ι be given.
Let x12 of type ι → ο be given.
Let x13 of type ι be given.
Let x14 of type ι be given.
Let x15 of type ι → ο be given.
Let x16 of type ι → ι be given.
Let x17 of type ι → ι be given.
Let x18 of type ι → ι be given.
Let x19 of type ι be given.
Let x20 of type ι be given.
Let x21 of type ι → ο be given.
Let x22 of type ι be given.
Let x23 of type ι → ι be given.
Let x24 of type ι → ι → ι be given.
Let x25 of type ι → ι → ι be given.
Let x26 of type ι → ι → ι be given.
Let x27 of type ι be given.
Let x28 of type ι be given.
Let x29 of type ι be given.
Let x30 of type ι → ο be given.
Let x31 of type ι → ο be given.
Let x32 of type ι → ι → ο be given.
Let x33 of type ι be given.
Let x34 of type ι be given.
Let x35 of type ι → ι → ι be given.
Let x36 of type ι → ο be given.
Let x37 of type ι → ο be given.
Let x38 of type ι be given.
Let x39 of type ι be given.
Let x40 of type ι → ο be given.
Let x41 of type ι be given.
Let x42 of type ι → ι be given.
Let x43 of type ι be given.
Let x44 of type ι → ι be given.
Let x45 of type ι be given.
Let x46 of type ι → ο be given.
Let x47 of type ι → ι be given.
Let x48 of type ι → ο be given.
Let x49 of type ι → ι → ο be given.
Let x50 of type ι → ι be given.
Let x51 of type ι → ο be given.
Let x52 of type ι → ι be given.
Let x53 of type ι → ι be given.
Let x54 of type ι → ο be given.
Let x55 of type ι be given.
Let x56 of type ι → ο be given.
Let x57 of type ι be given.
Let x58 of type ι → ο be given.
Assume H5:
∀ x59 x60 . x58 x60 ⟶ (x60 = x59 ⟶ False) ⟶ x58 x59 ⟶ False.
Assume H6:
∀ x59 x60 . x0 x59 x60 ⟶ x58 x60 ⟶ False.
Assume H7:
∀ x59 . x58 x59 ⟶ (x59 = x57 ⟶ False) ⟶ False.
Assume H8:
∀ x59 x60 x61 . x0 x59 x60 ⟶ x2 x60 (x1 x61) ⟶ x58 x61 ⟶ False.
Assume H9:
∀ x59 x60 x61 . x0 x60 x61 ⟶ x2 x61 (x1 x59) ⟶ (x2 x60 x59 ⟶ False) ⟶ False.
Assume H10:
∀ x59 x60 . x3 x60 x59 ⟶ (x2 x60 (x1 x59) ⟶ False) ⟶ False.
Assume H11:
∀ x59 x60 . x2 x60 (x1 x59) ⟶ (x3 x60 x59 ⟶ False) ⟶ False.
Assume H12:
∀ x59 x60 . x2 x59 x60 ⟶ (x58 x60 ⟶ False) ⟶ (x0 x59 x60 ⟶ False) ⟶ False.
Assume H13:
∀ x59 x60 . x0 x60 x59 ⟶ (x2 x60 x59 ⟶ False) ⟶ False.
Assume H14:
x58 x4 ⟶ False.
Assume H16:
∀ x59 x60 x61 . (x58 x61 ⟶ False) ⟶ (x58 x59 ⟶ False) ⟶ x2 x59 (x1 x61) ⟶ x2 x60 x59 ⟶ (x5 x60 x61 x59 ⟶ False) ⟶ False.
Assume H17:
∀ x59 x60 x61 . (x58 x61 ⟶ False) ⟶ (x58 x59 ⟶ False) ⟶ x2 x59 (x1 x61) ⟶ x5 x60 x61 x59 ⟶ (x2 x60 x59 ⟶ False) ⟶ False.
Assume H18:
∀ x59 x60 . (x58 x60 ⟶ False) ⟶ x2 x59 x60 ⟶ (x6 x60 x59 = x7 x59 ⟶ False) ⟶ False.
Assume H20:
x58 x55 ⟶ False.
Assume H21:
∀ x59 . (x54 x59 ⟶ False) ⟶ x54 (x53 x59) ⟶ False.
Assume H22:
∀ x59 . (x54 x59 ⟶ False) ⟶ (x2 (x53 x59) (x1 x59) ⟶ False) ⟶ False.
Assume H24:
∀ x59 . (x58 x59 ⟶ False) ⟶ x58 (x52 x59) ⟶ False.
Assume H25:
∀ x59 . (x58 x59 ⟶ False) ⟶ (x2 (x52 x59) (x1 x59) ⟶ False) ⟶ False.
Assume H26:
x8 x9 ⟶ False.