Let x0 of type ι → ι → ο be given.
Let x1 of type ι → ι → ι be given.
Let x2 of type ι → ι → ι be given.
Let x3 of type ι be given.
Let x4 of type ι → ι → ο be given.
Let x5 of type ι → ι → ι be given.
Let x6 of type ι → ι be given.
Let x7 of type ι → ο be given.
Let x8 of type ι be given.
Let x9 of type ι be given.
Let x10 of type ι → ι 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 → 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 → ι be given.
Let x21 of type ι → ι be given.
Let x22 of type ι be given.
Let x23 of type ι be given.
Let x24 of type ι → ο be given.
Let x25 of type ι be given.
Let x26 of type ι → ι be given.
Let x27 of type ι → ο be given.
Let x28 of type ι be given.
Let x29 of type ι → ι be given.
Let x30 of type ι → ι → ο be given.
Let x31 of type ι → ι be given.
Let x32 of type ι → ι → ο be given.
Let x33 of type ι → ο be given.
Let x34 of type ι → ι be given.
Let x35 of type ι → ι be given.
Let x36 of type ι → ο be given.
Let x37 of type ι → ι → ο be given.
Let x38 of type ι → ι be given.
Let x39 of type ι → ο be given.
Assume H5:
∀ x40 x41 . x39 x41 ⟶ (x41 = x40 ⟶ False) ⟶ x39 x40 ⟶ False.
Assume H6:
∀ x40 x41 x42 x43 . x0 x42 x43 ⟶ x0 x41 x40 ⟶ (x0 (x2 x42 x41) (x1 x43 x40) ⟶ False) ⟶ False.
Assume H7:
∀ x40 x41 x42 x43 . x0 (x2 x41 x43) (x1 x40 x42) ⟶ (x0 x43 x42 ⟶ False) ⟶ False.
Assume H8:
∀ x40 x41 x42 x43 . x0 (x2 x43 x41) (x1 x42 x40) ⟶ (x0 x43 x42 ⟶ False) ⟶ False.
Assume H9:
∀ x40 x41 . x0 x40 x41 ⟶ x39 x41 ⟶ False.
Assume H10:
∀ x40 . x39 x40 ⟶ (x40 = x3 ⟶ False) ⟶ False.
Assume H11:
∀ x40 x41 x42 . x0 x40 x41 ⟶ x37 x41 (x38 x42) ⟶ x39 x42 ⟶ False.
Assume H12:
∀ x40 x41 x42 . x0 x41 x42 ⟶ x37 x42 (x38 x40) ⟶ (x37 x41 x40 ⟶ False) ⟶ False.
Assume H13:
∀ x40 x41 . x36 x41 ⟶ x33 x41 ⟶ x0 x40 (x34 x41) ⟶ x0 x40 (x35 x41) ⟶ False.
Assume H14:
∀ x40 x41 . x4 x41 x40 ⟶ (x37 x41 (x38 x40) ⟶ False) ⟶ False.
Assume H15:
∀ x40 x41 . x37 x41 (x38 x40) ⟶ (x4 x41 x40 ⟶ False) ⟶ False.
Assume H16:
∀ x40 x41 . x37 x40 x41 ⟶ (x39 x41 ⟶ False) ⟶ (x0 x40 x41 ⟶ False) ⟶ False.
Assume H17:
∀ x40 x41 . x0 x41 x40 ⟶ (x37 x41 x40 ⟶ False) ⟶ False.
Assume H18:
∀ x40 . (x5 x40 x3 = x40 ⟶ False) ⟶ False.
Assume H19:
∀ x40 x41 . x32 x40 x41 ⟶ (x32 x41 x40 ⟶ False) ⟶ False.
Assume H21:
∀ x40 . (x39 x40 ⟶ False) ⟶ (x30 (x31 x40) x40 ⟶ False) ⟶ False.
Assume H22:
∀ x40 . (x39 x40 ⟶ False) ⟶ (x37 (x31 x40) (x38 x40) ⟶ False) ⟶ False.
Assume H23:
∀ x40 . x30 (x29 x40) x40 ⟶ False.
Assume H24:
∀ x40 . (x37 (x29 x40) (x38 x40) ⟶ False) ⟶ False.
Assume H25:
x39 x28 ⟶ False.
Assume H26:
∀ x40 . (x39 (x6 x40) ⟶ False) ⟶ False.
Assume H27:
∀ x40 . (x37 (x6 x40) (x38 x40) ⟶ False) ⟶ False.