Let x0 of type ι → ι → ι be given.
Let x1 of type ι → ι → ο be given.
Let x2 of type ι → ι be given.
Let x3 of type ι → ι → ο be given.
Let x4 of type ι → ι → ο be given.
Let x5 of type ι be given.
Let x6 of type ι → ι be given.
Let x7 of type ι → ι → ι be given.
Let x8 of type ι be given.
Let x9 of type ι → ο 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 be given.
Let x16 of type ι be given.
Let x17 of type ι be given.
Let x18 of type ι be given.
Let x19 of type ι → ο be given.
Let x20 of type ι → ι → ι be given.
Let x21 of type ι → ο be given.
Let x22 of type ι → ο be given.
Let x23 of type ι → ο be given.
Let x24 of type ι be given.
Let x25 of type ι → ο be given.
Let x26 of type ι → ο be given.
Let x27 of type ι → ο be given.
Let x28 of type ι → ο be given.
Let x29 of type ι → ι be given.
Let x30 of type ι → ο be given.
Let x31 of type ι be given.
Let x32 of type ι be given.
Let x33 of type ι be given.
Let x34 of type ι be given.
Let x35 of type ι be given.
Let x36 of type ι → ο be given.
Let x37 of type ι be given.
Let x38 of type ι be given.
Let x39 of type ι → ο be given.
Let x40 of type ι be given.
Let x41 of type ι be given.
Let x42 of type ι → ο be given.
Let x43 of type ι → ι be given.
Let x44 of type ι → ι be given.
Let x45 of type ι → ι be given.
Let x46 of type ι be given.
Let x47 of type ι → ι → ι → ο be given.
Let x48 of type ι be given.
Let x49 of type ι be given.
Let x50 of type ι → ι → ι be given.
Let x51 of type ι be given.
Let x52 of type ι be given.
Let x53 of type ι → ο be given.
Let x54 of type ι → ι → ι be given.
Let x55 of type ι → ι be given.
Let x56 of type ι → ι → ι be given.
Let x57 of type ι → ι → ι be given.
Let x58 of type ι → ι be given.
Let x59 of type ι → ο be given.
Assume H5:
∀ x60 x61 . x59 x61 ⟶ x59 x60 ⟶ (x55 (x54 x61 x60) = x56 (x57 (x58 x61) (x55 x60)) (x57 (x58 x60) (x55 x61)) ⟶ False) ⟶ False.
Assume H6:
∀ x60 x61 . x59 x61 ⟶ x59 x60 ⟶ (x58 (x54 x61 x60) = x0 (x57 (x58 x61) (x58 x60)) (x57 (x55 x61) (x55 x60)) ⟶ False) ⟶ False.
Assume H7:
∀ x60 x61 . x53 x61 ⟶ (x61 = x60 ⟶ False) ⟶ x53 x60 ⟶ False.
Assume H8:
∀ x60 x61 . x1 x60 x61 ⟶ x53 x61 ⟶ False.
Assume H9:
∀ x60 . x53 x60 ⟶ (x60 = x52 ⟶ False) ⟶ False.
Assume H10:
∀ x60 x61 x62 . x1 x60 x61 ⟶ x3 x61 (x2 x62) ⟶ x53 x62 ⟶ False.
Assume H11:
∀ x60 x61 x62 . x1 x61 x62 ⟶ x3 x62 (x2 x60) ⟶ (x3 x61 x60 ⟶ False) ⟶ False.
Assume H12:
∀ x60 x61 . x4 x61 x60 ⟶ (x3 x61 (x2 x60) ⟶ False) ⟶ False.
Assume H13:
∀ x60 x61 . x3 x61 (x2 x60) ⟶ (x4 x61 x60 ⟶ False) ⟶ False.
Assume H14:
∀ x60 . x59 x60 ⟶ (x54 x5 x60 = x60 ⟶ False) ⟶ False.
Assume H15:
∀ x60 x61 . x3 x60 x61 ⟶ (x53 x61 ⟶ False) ⟶ (x1 x60 x61 ⟶ False) ⟶ False.
Assume H16:
∀ x60 x61 . x1 x61 x60 ⟶ (x3 x61 x60 ⟶ False) ⟶ False.
Assume H18:
∀ x60 x61 . x59 x61 ⟶ x59 x60 ⟶ (x7 (x6 x61) (x6 x60) = x7 x60 x61 ⟶ False) ⟶ False.
Assume H19:
∀ x60 x61 . x59 x61 ⟶ x59 x60 ⟶ (x50 (x6 x61) (x6 x60) = x6 (x50 x61 x60) ⟶ False) ⟶ False.
Assume H20:
∀ x60 x61 x62 . x59 x62 ⟶ x59 x60 ⟶ x59 x61 ⟶ (x54 (x54 x62 x60) x61 = x54 x62 (x54 x60 x61) ⟶ False) ⟶ False.
Assume H21:
∀ x60 x61 x62 . ... ⟶ ... ⟶ ... ⟶ (x50 (x50 x62 x60) x61 = x50 x62 (x50 x60 ...) ⟶ False) ⟶ False.