Let x0 of type ι → ι → ο be given.
Let x1 of type ι → ο be given.
Let x2 of type ι → ι be given.
Let x3 of type ι → ι → ι → ι be given.
Let x4 of type ι → ι → ι be given.
Let x5 of type ι → ι be given.
Let x6 of type ι → ο be given.
Let x7 of type ι → ι → ο be given.
Let x8 of type ι → ο be given.
Let x9 of type ι be given.
Let x10 of type ι → ο be given.
Let x11 of type ι be given.
Let x12 of type ι → ο be given.
Let x13 of type ι be given.
Let x14 of type ι → ο 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 → ι → ι be given.
Let x19 of type ι → ι be given.
Let x20 of type ι → ο be given.
Let x21 of type ι → ο be given.
Let x22 of type ι be given.
Let x23 of type ι be given.
Let x24 of type ι be given.
Let x25 of type ι be given.
Let x26 of type ι be given.
Let x27 of type ι → ι → ι → ι be given.
Let x28 of type ι → ι → ι be given.
Let x29 of type ι → 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 be given.
Let x35 of type ι → ο be given.
Let x36 of type ι be given.
Let x37 of type ι be given.
Let x38 of type ι be given.
Let x39 of type ι → ι → ι be given.
Let x40 of type ι → ι be given.
Let x41 of type ι → ι be given.
Let x42 of type ι be given.
Let x43 of type ι → ο be given.
Assume H5:
∀ x44 x45 . x43 x45 ⟶ (x45 = x44 ⟶ False) ⟶ x43 x44 ⟶ False.
Assume H6:
∀ x44 x45 . x0 x44 x45 ⟶ x43 x45 ⟶ False.
Assume H7:
∀ x44 . x43 x44 ⟶ (x44 = x42 ⟶ False) ⟶ False.
Assume H8:
∀ x44 x45 x46 . x1 x46 ⟶ x6 x46 ⟶ x0 (x4 x44 x45) (x5 (x2 x46)) ⟶ (x3 (x2 x46) x44 x45 = x3 x46 x45 x44 ⟶ False) ⟶ False.
Assume H9:
∀ x44 x45 x46 . x1 x46 ⟶ x6 x46 ⟶ x0 (x4 x45 x44) (x5 (x2 x46)) ⟶ (x0 (x4 x44 x45) (x5 x46) ⟶ False) ⟶ False.
Assume H10:
∀ x44 x45 x46 . x1 x46 ⟶ x6 x46 ⟶ x0 (x4 x45 x44) (x5 x46) ⟶ (x0 (x4 x44 x45) (x5 (x2 x46)) ⟶ False) ⟶ False.
Assume H11:
∀ x44 x45 x46 x47 . x1 x47 ⟶ x6 x47 ⟶ x1 x46 ⟶ x6 x46 ⟶ x0 x45 (x5 x47) ⟶ x46 = x39 x47 x45 ⟶ x0 x44 (x5 x46) ⟶ (x0 (x39 x46 x44) (x41 (x40 x47)) ⟶ False) ⟶ False.
Assume H12:
∀ x44 x45 x46 x47 . x1 x47 ⟶ x6 x47 ⟶ x1 x46 ⟶ x6 x46 ⟶ x0 x45 (x5 x47) ⟶ x46 = x39 x47 x45 ⟶ x0 x44 (x5 x46) ⟶ (x3 (x40 x47) x45 x44 = x39 x46 x44 ⟶ False) ⟶ False.
Assume H13:
∀ x44 x45 x46 x47 . x1 x47 ⟶ x6 x47 ⟶ x1 x46 ⟶ x6 x46 ⟶ x0 x45 (x5 x47) ⟶ x46 = x39 x47 x45 ⟶ x0 x44 (x5 x46) ⟶ (x0 (x4 x45 x44) (x5 (x40 x47)) ⟶ False) ⟶ False.
Assume H14:
∀ x44 x45 . x7 x44 x45 ⟶ (x43 x45 ⟶ False) ⟶ (x0 x44 x45 ⟶ False) ⟶ False.
Assume H15:
∀ x44 x45 . x0 x45 x44 ⟶ (x7 x45 x44 ⟶ False) ⟶ False.
Assume H17:
x43 x9 ⟶ False.
Assume H18:
x10 x11 ⟶ False.
Assume H21: ....