Let x0 of type ι → ι → ο be given.
Let x1 of type ι → ι → ο be given.
Let x2 of type ι → ο 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 → ο be given.
Let x7 of type ι be given.
Let x8 of type ι be given.
Let x9 of type ι → ι be given.
Let x10 of type ι → ι → ι be given.
Let x11 of type ι → ι → ι be given.
Let x12 of type ι → ι be given.
Let x13 of type ι → ι be given.
Let x14 of type ι → ι → ι → ι be given.
Let x15 of type ι → 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 → ι → ι be given.
Let x19 of type ι be given.
Let x20 of type ι be given.
Let x21 of type ι be given.
Let x22 of type ι → ι → ι → ι be given.
Let x23 of type ι → ι → ι → ι be given.
Let x24 of type ι be given.
Let x25 of type ι → ο be given.
Let x26 of type ι → ο be given.
Let x27 of type ι → ι → ι be given.
Let x28 of type ι → ο be given.
Let x29 of type ι → 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 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 → ο be given.
Let x38 of type ι → ο be given.
Let x39 of type 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.
Let x43 of type ι → ι → ι be given.
Let x44 of type ι be given.
Let x45 of type ι → ο be given.
Assume H5:
∀ x46 x47 . x45 x47 ⟶ (x47 = x46 ⟶ False) ⟶ x45 x46 ⟶ False.
Assume H6:
∀ x46 x47 . x0 x46 x47 ⟶ x45 x47 ⟶ False.
Assume H7:
∀ x46 . x45 x46 ⟶ (x46 = x44 ⟶ False) ⟶ False.
Assume H8:
∀ x46 x47 . x1 x46 x47 ⟶ (x45 x47 ⟶ False) ⟶ (x0 x46 x47 ⟶ False) ⟶ False.
Assume H9:
∀ x46 . (x43 x46 x44 = x44 ⟶ False) ⟶ False.
Assume H10:
∀ x46 x47 . x0 x47 x46 ⟶ (x1 x47 x46 ⟶ False) ⟶ False.
Assume H11:
(x42 x41 ⟶ False) ⟶ False.
Assume H12:
x45 x41 ⟶ False.
Assume H13:
x40 x39 ⟶ False.
Assume H15:
(x38 x39 ⟶ False) ⟶ False.
Assume H19:
x45 x3 ⟶ False.
Assume H23:
x45 x36 ⟶ False.
Assume H29:
(x35 x34 ⟶ False) ⟶ False.
Assume H31:
(x38 x33 ⟶ False) ⟶ False.
Assume H32:
x45 x33 ⟶ False.
Assume H34:
(x38 x32 ⟶ False) ⟶ False.
Assume H35:
∀ x46 . (x43 x46 x46 = x46 ⟶ False) ⟶ False.
Assume H36:
∀ x46 . (x45 x46 ⟶ False) ⟶ x38 x46 ⟶ x45 (x9 x46) ⟶ False.
Assume H37:
∀ x46 . (x45 x46 ⟶ False) ⟶ x38 x46 ⟶ x45 (x31 x46) ⟶ False.
Assume H38:
∀ x46 x47 x48 x49 . (x38 (x10 (x11 x47 x46) (x11 x49 x48)) ⟶ False) ⟶ False.
Assume H39:
∀ x46 x47 . (x38 (x30 x46 x47) ⟶ False) ⟶ False.
Assume H40:
∀ x46 . x45 x46 ⟶ (x45 (x9 x46) ⟶ False) ⟶ False.
Assume H41:
∀ x46 x47 . (x38 (x29 (x11 x47 x46)) ⟶ False) ⟶ False.
Assume H42:
∀ x46 . ... ⟶ (x45 ... ⟶ False) ⟶ False.