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 → ι → ι be given.
Let x5 of type ι → ι → ι → ι be given.
Let x6 of type ι → ι → ι → ι be given.
Let x7 of type ι → ι be given.
Let x8 of type ι → ι → ο be given.
Let x9 of type ι → ι be given.
Let x10 of type ι → ι be given.
Let x11 of type ι → ι be given.
Let x12 of type ι → ι → ι → ι be given.
Let x13 of type ι → ι be given.
Let x14 of type ι → ι → ι be given.
Let x15 of type ι → ι → 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 → ι → ι → ι → ι be given.
Let x20 of type ι be given.
Let x21 of type ι → ι be given.
Let x22 of type ι → ι → ι → ι → ι be given.
Let x23 of type ι → ι → ο be given.
Let x24 of type ι be given.
Let x25 of type ι be given.
Let x26 of type ι → ι be given.
Let x27 of type ι → ι → ο be given.
Let x28 of type ι → ι be given.
Let x29 of type ι be given.
Let x30 of type ι → ο be given.
Assume H5:
∀ x31 x32 . x30 x32 ⟶ (x32 = x31 ⟶ False) ⟶ x30 x31 ⟶ False.
Assume H6:
∀ x31 x32 . x0 x31 x32 ⟶ x30 x32 ⟶ False.
Assume H7:
∀ x31 . x30 x31 ⟶ (x31 = x29 ⟶ False) ⟶ False.
Assume H8:
∀ x31 x32 x33 . x0 x31 x32 ⟶ x2 x32 (x1 x33) ⟶ x30 x33 ⟶ False.
Assume H9:
∀ x31 x32 x33 . x0 x32 x33 ⟶ x2 x33 (x1 x31) ⟶ (x2 x32 x31 ⟶ False) ⟶ False.
Assume H10:
∀ x31 x32 . x3 x32 x31 ⟶ (x2 x32 (x1 x31) ⟶ False) ⟶ False.
Assume H11:
∀ x31 x32 . x2 x32 (x1 x31) ⟶ (x3 x32 x31 ⟶ False) ⟶ False.
Assume H12:
∀ x31 x32 x33 . x0 x32 x33 ⟶ x0 x31 x33 ⟶ x0 x31 (x4 x33 x32) ⟶ False.
Assume H13:
∀ x31 x32 . x0 x32 x31 ⟶ (x0 (x4 x31 x32) x31 ⟶ False) ⟶ False.
Assume H14:
∀ x31 x32 . x2 x31 x32 ⟶ (x30 x32 ⟶ False) ⟶ (x0 x31 x32 ⟶ False) ⟶ False.
Assume H15:
∀ x31 x32 . x0 x32 x31 ⟶ (x2 x32 x31 ⟶ False) ⟶ False.
Assume H16:
∀ x31 x32 x33 x34 . x2 x33 (x1 x34) ⟶ x2 x31 (x1 x34) ⟶ x3 x33 x32 ⟶ x3 x32 x31 ⟶ (x0 x32 (x5 x34 x33 x31) ⟶ False) ⟶ False.
Assume H17:
∀ x31 x32 x33 x34 . x2 x33 (x1 x34) ⟶ x2 x31 (x1 x34) ⟶ x0 x32 (x5 x34 x33 x31) ⟶ (x3 x32 x31 ⟶ False) ⟶ False.
Assume H18:
∀ x31 x32 x33 x34 . x2 x33 (x1 x34) ⟶ x2 x31 (x1 x34) ⟶ x0 x32 (x5 x34 x33 x31) ⟶ (x3 x33 x32 ⟶ False) ⟶ False.
Assume H20:
∀ x31 x32 x33 . x2 x32 (x1 x33) ⟶ x2 x31 (x1 x33) ⟶ (x6 x33 x32 x31 = x5 x33 x32 x31 ⟶ False) ⟶ False.
Assume H21:
∀ x31 . (x30 x31 ⟶ False) ⟶ (x27 (x28 x31) x31 ⟶ False) ⟶ False.
Assume H22:
∀ x31 . (x30 x31 ⟶ False) ⟶ (x2 (x28 x31) (x1 x31) ⟶ False) ⟶ False.
Assume H23:
∀ x31 . x27 ... ... ⟶ False.