Let x0 of type ι → ι → ο be given.
Let x1 of type ι → ο be given.
Let x2 of type ι → ι → ι be given.
Let x3 of type ι be given.
Let x4 of type ι be given.
Let x5 of type ι be given.
Let x6 of type ι → ι → ι → ο be given.
Let x7 of type ι → ο be given.
Let x8 of type ι be given.
Let x9 of type ι → ο be given.
Let x10 of type ι be given.
Let x11 of type ι → ο be given.
Let x12 of type ι 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 → ο be given.
Let x17 of type 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 → ο be given.
Let x22 of type ι → ο 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 be given.
Let x28 of type ι be given.
Let x29 of type ι be given.
Let x30 of type ι → ο be given.
Let x31 of type ι be given.
Let x32 of type ι be given.
Let x33 of type ι be given.
Let x34 of type ι be given.
Let x35 of type ι be given.
Let x36 of type ι be given.
Let x37 of type ι → ο be given.
Let x38 of type ι → ο be given.
Let x39 of type ι be given.
Let x40 of type ι → ι be given.
Let x41 of type ι → ι → ι be given.
Let x42 of type ι → ι → ο be given.
Let x43 of type ι → ι → ο be given.
Let x44 of type ι → ι be given.
Let x45 of type ι be given.
Let x46 of type ι → ο be given.
Assume H5:
∀ x47 x48 . x46 x48 ⟶ (x48 = x47 ⟶ False) ⟶ x46 x47 ⟶ False.
Assume H6:
∀ x47 x48 . x0 x47 x48 ⟶ x46 x48 ⟶ False.
Assume H7:
∀ x47 . x46 x47 ⟶ (x47 = x45 ⟶ False) ⟶ False.
Assume H8:
∀ x47 . x1 x47 ⟶ (x2 x47 x3 = x47 ⟶ False) ⟶ False.
Assume H9:
∀ x47 x48 x49 . x0 x47 x48 ⟶ x43 x48 (x44 x49) ⟶ x46 x49 ⟶ False.
Assume H10:
∀ x47 x48 x49 . x0 x48 x49 ⟶ x43 x49 (x44 x47) ⟶ (x43 x48 x47 ⟶ False) ⟶ False.
Assume H11:
∀ x47 x48 . x42 x48 x47 ⟶ (x43 x48 (x44 x47) ⟶ False) ⟶ False.
Assume H12:
∀ x47 x48 . x43 x48 (x44 x47) ⟶ (x42 x48 x47 ⟶ False) ⟶ False.
Assume H13:
∀ x47 . x1 x47 ⟶ (x41 x3 x47 = x47 ⟶ False) ⟶ False.
Assume H14:
∀ x47 x48 . x43 x47 x48 ⟶ (x46 x48 ⟶ False) ⟶ (x0 x47 x48 ⟶ False) ⟶ False.
Assume H15:
∀ x47 x48 . x0 x48 x47 ⟶ (x43 x48 x47 ⟶ False) ⟶ False.
Assume H17:
∀ x47 x48 x49 . x1 x49 ⟶ x1 x47 ⟶ x1 x48 ⟶ (x41 (x41 x49 x47) x48 = x41 x49 (x41 x47 x48) ⟶ False) ⟶ False.
Assume H18:
∀ x47 x48 x49 . x1 x49 ⟶ x1 x47 ⟶ x1 x48 ⟶ (x41 x49 (x2 x47 x48) = x2 (x41 x49 x47) x48 ⟶ False) ⟶ False.
Assume H19:
∀ x47 . x1 x47 ⟶ (x2 x3 x47 = x40 x47 ⟶ False) ⟶ False.
Assume H24:
x46 x3 ⟶ False.
Assume H25:
∀ x47 x48 . x1 x48 ⟶ x1 x47 ⟶ (x41 x48 (x40 x47) = x2 x48 x47 ⟶ False) ⟶ False.
Assume H26:
∀ x47 x48 . x1 x48 ⟶ x1 x47 ⟶ (x2 (x40 x48) (x40 x47) = x2 x47 x48 ⟶ False) ⟶ False.