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 → ο be given.
Let x7 of type ι be given.
Let x8 of type ι be given.
Let x9 of type ι → ο be given.
Let x10 of type ι → ι → ι be given.
Let x11 of type ι be given.
Let x12 of type ι → ι → 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 be given.
Let x16 of type ι → ο be given.
Let x17 of type ι → ι be given.
Let x18 of type ι be given.
Let x19 of type ι be given.
Let x20 of type ι → ι be given.
Let x21 of type ι be given.
Let x22 of type ι → ο be given.
Let x23 of type ι be given.
Let x24 of type ι → ι be given.
Let x25 of type ι be given.
Let x26 of type ι → ι be given.
Let x27 of type ι be given.
Let x28 of type ι → ι → ο be given.
Let x29 of type ι → ι be given.
Let x30 of type 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.
Let x35 of type ι → ο be given.
Let x36 of type ι → ι be given.
Let x37 of type ι → ι → ι be given.
Let x38 of type ι → ι → ι be given.
Let x39 of type ι → ι be given.
Let x40 of type ι → ο be given.
Let x41 of type ι be given.
Let x42 of type ι → ο be given.
Assume H5:
∀ x43 x44 . x42 x44 ⟶ (x44 = x43 ⟶ False) ⟶ x42 x43 ⟶ False.
Assume H6:
∀ x43 x44 . x0 x43 x44 ⟶ x42 x44 ⟶ False.
Assume H7:
∀ x43 . x42 x43 ⟶ (x43 = x41 ⟶ False) ⟶ False.
Assume H8:
∀ x43 x44 x45 . x0 x43 x44 ⟶ x2 x44 (x1 x45) ⟶ x42 x45 ⟶ False.
Assume H9:
∀ x43 x44 x45 . x0 x44 x45 ⟶ x2 x45 (x1 x43) ⟶ (x2 x44 x43 ⟶ False) ⟶ False.
Assume H10:
∀ x43 x44 . x3 x44 x43 ⟶ (x2 x44 (x1 x43) ⟶ False) ⟶ False.
Assume H11:
∀ x43 x44 . x2 x44 (x1 x43) ⟶ (x3 x44 x43 ⟶ False) ⟶ False.
Assume H12:
∀ x43 x44 . x2 x43 x44 ⟶ (x42 x44 ⟶ False) ⟶ (x0 x43 x44 ⟶ False) ⟶ False.
Assume H13:
∀ x43 x44 . x40 x44 ⟶ x35 x44 ⟶ x0 x43 (x36 (x39 x44)) ⟶ (x38 (x39 x44) x43 = x37 x44 x43 ⟶ False) ⟶ False.
Assume H14:
∀ x43 x44 . x0 x44 x43 ⟶ (x2 x44 x43 ⟶ False) ⟶ False.
Assume H15:
∀ x43 x44 . x40 x44 ⟶ (x3 (x37 x44 x43) (x36 x44) ⟶ False) ⟶ False.
Assume H18:
x42 x33 ⟶ False.
Assume H19:
∀ x43 . (x32 x43 ⟶ False) ⟶ x32 (x31 x43) ⟶ False.
Assume H20:
∀ x43 . (x32 x43 ⟶ False) ⟶ (x2 (x31 x43) (x1 x43) ⟶ False) ⟶ False.
Assume H22:
∀ x43 . (x42 x43 ⟶ False) ⟶ x42 (x30 x43) ⟶ False.
Assume H23:
∀ x43 . (x42 x43 ⟶ False) ⟶ (x2 (x30 x43) (x1 x43) ⟶ False) ⟶ False.
Assume H24:
x4 x5 ⟶ False.
Assume H27:
∀ x43 . (x42 x43 ⟶ False) ⟶ (x28 (x29 x43) x43 ⟶ False) ⟶ False.
Assume H28:
∀ x43 . (x42 x43 ⟶ False) ⟶ (x2 (x29 x43) (x1 x43) ⟶ False) ⟶ False.
Assume H30: ....