Let x0 of type ι → ι → ι be given.
Let x1 of type ι → ι → ι → ι 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 be given.
Let x5 of type ι → ι be given.
Let x6 of type ι → ι be given.
Let x7 of type ι → ι be given.
Let x8 of type ι → ι → ι be given.
Let x9 of type ι → ι be given.
Let x10 of type ι be given.
Let x11 of type ι → ι → ι be given.
Let x12 of type ι → ι → ι be given.
Let x13 of type ι be given.
Let x14 of type ι be given.
Let x15 of type ι → ι → ο be given.
Let x16 of type ι → ι → ι be given.
Let x17 of type ι be given.
Let x18 of type ι → ο be given.
Let x19 of type ι → ι → ι be given.
Let x20 of type ι → ι be given.
Let x21 of type ι → ι be given.
Let x22 of type ι → ι → ο be given.
Let x23 of type ι → ι be given.
Let x24 of type ι → ι → ο be given.
Let x25 of type ι → ι be given.
Let x26 of type ι → ι be given.
Let x27 of type ι → 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 → ι → ο be given.
Let x31 of type ι → ο be given.
Let x32 of type ι → ι → ι → ι be given.
Let x33 of type ι → ι → ι be given.
Let x34 of type ι → ι → ο be given.
Let x35 of type ι → ο be given.
Let x36 of type ι → ι → ο be given.
Let x37 of type ι → ι be given.
Let x38 of type ι → ι → ο be given.
Assume H5:
∀ x39 x40 x41 . x38 x39 x40 ⟶ x36 x40 (x37 x41) ⟶ x35 x41 ⟶ False.
Assume H6:
∀ x39 x40 x41 . x38 x40 x41 ⟶ x36 x41 (x37 x39) ⟶ (x36 x40 x39 ⟶ False) ⟶ False.
Assume H7:
∀ x39 x40 . x34 x40 x39 ⟶ (x36 x40 (x37 x39) ⟶ False) ⟶ False.
Assume H8:
∀ x39 x40 . x36 x40 (x37 x39) ⟶ (x34 x40 x39 ⟶ False) ⟶ False.
Assume H9:
∀ x39 x40 . x36 x39 x40 ⟶ (x35 x40 ⟶ False) ⟶ (x38 x39 x40 ⟶ False) ⟶ False.
Assume H10:
∀ x39 x40 . x34 x39 x40 ⟶ (x0 x39 x40 = x39 ⟶ False) ⟶ False.
Assume H11:
∀ x39 x40 x41 . (x0 x41 (x33 x39 x40) = x33 (x0 x41 x39) (x0 x41 x40) ⟶ False) ⟶ False.
Assume H12:
∀ x39 x40 . x38 x40 x39 ⟶ (x36 x40 x39 ⟶ False) ⟶ False.
Assume H13:
∀ x39 x40 . (x34 (x0 x39 x40) x39 ⟶ False) ⟶ False.
Assume H14:
∀ x39 . (x34 x39 x39 ⟶ False) ⟶ False.
Assume H15:
∀ x39 x40 x41 . x36 x40 (x37 x41) ⟶ (x32 x41 x39 x40 = x0 x39 x40 ⟶ False) ⟶ False.
Assume H16:
∀ x39 x40 x41 . x36 x40 (x37 x41) ⟶ x36 x39 (x37 x41) ⟶ (x1 x41 x40 x39 = x33 x40 x39 ⟶ False) ⟶ False.
Assume H17:
∀ x39 . x31 x39 ⟶ x28 x39 ⟶ (x30 (x29 x39) x39 ⟶ False) ⟶ False.
Assume H18:
∀ x39 . x31 x39 ⟶ x28 x39 ⟶ (x36 (x29 x39) (x37 (x2 x39)) ⟶ False) ⟶ False.
Assume H19:
∀ x39 . x31 x39 ⟶ x28 x39 ⟶ (x27 (x26 x39) x39 ⟶ False) ⟶ False.
Assume H20:
∀ x39 . x31 x39 ⟶ x28 x39 ⟶ (x36 (x26 x39) (x37 (x2 x39)) ⟶ False) ⟶ False.
Assume H21:
∀ x39 . x28 x39 ⟶ (x24 (x25 x39) x39 ⟶ False) ⟶ False.
Assume H22:
∀ x39 . x28 x39 ⟶ (x36 (x25 x39) (x37 (x2 x39)) ⟶ False) ⟶ False.
Assume H23:
∀ x39 . (x35 x39 ⟶ False) ⟶ (x22 (x23 x39) x39 ⟶ False) ⟶ False.
Assume H24:
∀ x39 . ... ⟶ (x36 (x23 ...) ... ⟶ False) ⟶ False.