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 → ο be given.
Let x5 of type ι be given.
Let x6 of type ι be given.
Let x7 of type ι → ο be given.
Let x8 of type ι be given.
Let x9 of type ι → ι → ι be given.
Let x10 of type ι → ι → ι be given.
Let x11 of type ι → ι be given.
Let x12 of type ι → ι be given.
Let x13 of type ι → ι → ι be given.
Let x14 of type ι → ι → ι be given.
Let x15 of type ι → ι → ι be given.
Let x16 of type ι → ι → ι be given.
Let x17 of type ι → ι → ι be given.
Let x18 of type ι be given.
Let x19 of type ι be given.
Let x20 of type ι → ι → ι → ι be given.
Let x21 of type ι → ι → ι → ι be given.
Let x22 of type ι → ι → ι → ι → ι → ι be given.
Let x23 of type ι → ι → ι → ι be given.
Let x24 of type ι → ι → ι → ι be given.
Let x25 of type ι → ι → ι → ι be given.
Let x26 of type ι be given.
Let x27 of type ι → ι be given.
Let x28 of type 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 → ο be given.
Let x33 of type ι be given.
Let x34 of type ι → ο be given.
Assume H5:
∀ x35 x36 . x34 x36 ⟶ (x36 = x35 ⟶ False) ⟶ x34 x35 ⟶ False.
Assume H6:
∀ x35 x36 . x0 x35 x36 ⟶ x34 x36 ⟶ False.
Assume H7:
∀ x35 . x34 x35 ⟶ (x35 = x33 ⟶ False) ⟶ False.
Assume H8:
∀ x35 x36 x37 . x0 x35 x36 ⟶ x2 x36 (x1 x37) ⟶ x34 x37 ⟶ False.
Assume H9:
∀ x35 x36 x37 . x0 x36 x37 ⟶ x2 x37 (x1 x35) ⟶ (x2 x36 x35 ⟶ False) ⟶ False.
Assume H10:
∀ x35 x36 . x3 x36 x35 ⟶ (x2 x36 (x1 x35) ⟶ False) ⟶ False.
Assume H11:
∀ x35 x36 . x2 x36 (x1 x35) ⟶ (x3 x36 x35 ⟶ False) ⟶ False.
Assume H12:
∀ x35 x36 . x2 x35 x36 ⟶ (x34 x36 ⟶ False) ⟶ (x0 x35 x36 ⟶ False) ⟶ False.
Assume H13:
∀ x35 x36 . x32 x36 ⟶ x32 x35 ⟶ (x3 (x31 (x30 x36 x35)) (x31 x35) ⟶ False) ⟶ False.
Assume H14:
∀ x35 x36 . x0 x36 x35 ⟶ (x2 x36 x35 ⟶ False) ⟶ False.
Assume H16:
x4 x5 ⟶ False.
Assume H17:
x34 x29 ⟶ False.
Assume H19:
x34 x6 ⟶ False.
Assume H22:
∀ x35 x36 x37 x38 . (x32 (x9 (x10 x36 x35) (x10 x38 x37)) ⟶ False) ⟶ False.
Assume H23:
∀ x35 . x34 x35 ⟶ (x34 (x31 x35) ⟶ False) ⟶ False.
Assume H24:
∀ x35 x36 . (x32 (x11 (x10 x36 x35)) ⟶ False) ⟶ False.
Assume H25:
∀ x35 . x34 x35 ⟶ (x34 (x27 x35) ⟶ False) ⟶ False.
Assume H26:
∀ x35 x36 . x34 (x9 x35 x36) ⟶ False.
Assume H27:
∀ x35 . (x4 (x11 x35) ⟶ False) ⟶ False.
Assume H28:
∀ x35 . x34 (x11 x35) ⟶ False.
Assume H29:
∀ x35 x36 . x34 (x10 x35 x36) ⟶ False.
Assume H30:
∀ x35 x36 . (x7 (x10 x35 x36) ⟶ False) ⟶ False.
Assume H32:
∀ x35 . (x2 (x12 x35) x35 ⟶ False) ⟶ False.
Assume H34:
∀ x35 x36 . (x32 (x30 x35 x36) ⟶ False) ⟶ False.
Assume H35: ....