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 → ι be given.
Let x4 of type ι → ι → ι be given.
Let x5 of type ι be given.
Let x6 of type ι → ο be given.
Let x7 of type ι → ι → ο be given.
Let x8 of type ι be given.
Let x9 of type ι → ο be given.
Let x10 of type ι → ι be given.
Let x11 of type ι be given.
Let x12 of type ι → ο be given.
Let x13 of type ι be given.
Let x14 of type ι → ι be given.
Let x15 of type ι be given.
Let x16 of type ι → ι be given.
Let x17 of type ι be given.
Let x18 of type ι → ι be given.
Let x19 of type ι → ι → ι be given.
Let x20 of type ι → ι → ι be given.
Let x21 of type ι → ι → ο be given.
Let x22 of type ι be given.
Let x23 of type ι → ι be given.
Let x24 of type ι → ο be given.
Let x25 of type ι → ο be given.
Let x26 of type ι be given.
Let x27 of type ι be given.
Let x28 of type ι → ι → ι be given.
Let x29 of type ι be given.
Let x30 of type ι → ι → ι be given.
Let x31 of type ι → ι be given.
Let x32 of type ι → ι → ι be given.
Let x33 of type ι → ι be given.
Let x34 of type ι → ι → ι be given.
Let x35 of type ι → ι be given.
Let x36 of type ι be given.
Let x37 of type ι → ι → ι be given.
Let x38 of type ι be given.
Let x39 of type ι be given.
Let x40 of type ι be given.
Let x41 of type ι → ο be given.
Let x42 of type ι be given.
Let x43 of type ι → ι be given.
Let x44 of type ι be given.
Let x45 of type ι → ι → ο be given.
Let x46 of type ι → ι be given.
Let x47 of type ι be given.
Let x48 of type ι → ο be given.
Let x49 of type ι → ι → ι be given.
Let x50 of type ι → ι → ι → ο be given.
Let x51 of type ι be given.
Let x52 of type ι be given.
Let x53 of type ι → ι → ι be given.
Let x54 of type ι → ι → ο be given.
Let x55 of type ι be given.
Let x56 of type ι → ο be given.
Assume H5:
∀ x57 x58 . x56 x58 ⟶ (x58 = x57 ⟶ False) ⟶ x56 x57 ⟶ False.
Assume H6:
∀ x57 x58 . x0 x57 x58 ⟶ x56 x58 ⟶ False.
Assume H7:
∀ x57 . x56 x57 ⟶ (x57 = x55 ⟶ False) ⟶ False.
Assume H8:
∀ x57 x58 x59 . x0 x57 x58 ⟶ x2 x58 (x1 x59) ⟶ x56 x59 ⟶ False.
Assume H9:
∀ x57 x58 x59 . x0 x58 x59 ⟶ x2 x59 (x1 x57) ⟶ (x2 x58 x57 ⟶ False) ⟶ False.
Assume H10:
∀ x57 . (x3 x55 x57 = x55 ⟶ False) ⟶ False.
Assume H11:
∀ x57 x58 . x54 x58 x57 ⟶ (x2 x58 (x1 x57) ⟶ False) ⟶ False.
Assume H12:
∀ x57 x58 . x2 x58 (x1 x57) ⟶ (x54 x58 x57 ⟶ False) ⟶ False.
Assume H13:
∀ x57 . (x3 x57 x55 = x57 ⟶ False) ⟶ False.
Assume H14:
∀ x57 x58 x59 . x0 x58 x59 ⟶ x0 x57 x59 ⟶ x0 x57 (x4 x59 x58) ⟶ False.
Assume H15:
∀ x57 x58 . x0 x58 x57 ⟶ (x0 (x4 x57 x58) x57 ⟶ False) ⟶ False.
Assume H16:
∀ x57 x58 . x2 x57 x58 ⟶ (x56 x58 ⟶ False) ⟶ (x0 x57 x58 ⟶ False) ⟶ False.
Assume H17:
∀ x57 x58 . x0 x58 x57 ⟶ (x2 x58 x57 ⟶ False) ⟶ False.
Assume H19:
∀ x57 . (x53 x57 x55 = x57 ⟶ False) ⟶ False.
Assume H20:
∀ x57 x58 . x6 x58 ⟶ x6 x57 ⟶ x7 x58 x57 ⟶ (x7 x57 x58 ⟶ False) ⟶ False.
Assume H25:
x56 x51 ⟶ False.
Assume H26:
∀ x57 . (x54 x57 x57 ⟶ False) ⟶ False.
Assume H27:
∀ x57 x58 x59 . (x56 x59 ⟶ False) ⟶ (x56 x57 ⟶ False) ⟶ x2 x57 (x1 x59) ⟶ x2 x58 x57 ⟶ (x50 x58 x59 x57 ⟶ False) ⟶ False.
Assume H28:
∀ x57 x58 x59 . ... ⟶ ... ⟶ ... ⟶ x50 x58 ... ... ⟶ (x2 x58 x57 ⟶ False) ⟶ False.