Let x0 of type ι → ι → ο be given.
Let x1 of type ι → ι → ο be given.
Let x2 of type ι → ι → ι be given.
Let x3 of type ι → ο be given.
Let x4 of type ι be given.
Let x5 of type ι be given.
Let x6 of type ι → ι → ι be given.
Let x7 of type ι → ι → ι be given.
Let x8 of type ι → ι be given.
Let x9 of type ι → ι be given.
Let x10 of type ι → ι → ι → ι be given.
Let x11 of type ι be given.
Let x12 of type ι be given.
Let x13 of type ι → ι → ι → ι be given.
Let x14 of type ι → ι → ι → ι be given.
Let x15 of type ι → ι → ι → ι → ι be given.
Let x16 of type ι → ι → ι → ι be given.
Let x17 of type ι → ι → ι → ι be given.
Let x18 of type ι → ι → ι be given.
Let x19 of type ι → ι → ι be given.
Let x20 of type ι → ι → ι be given.
Let x21 of type ι be given.
Let x22 of type ι → ι be given.
Let x23 of type ι be given.
Let x24 of type ι be given.
Let x25 of type ι → ο be given.
Let x26 of type ι be given.
Let x27 of type ι be given.
Let x28 of type ι → ο be given.
Let x29 of type ι → ι → ι be given.
Let x30 of type ι be given.
Let x31 of type ι → ο be given.
Assume H5:
∀ x32 x33 . x31 x33 ⟶ (x33 = x32 ⟶ False) ⟶ x31 x32 ⟶ False.
Assume H6:
∀ x32 x33 . x0 x32 x33 ⟶ x31 x33 ⟶ False.
Assume H7:
∀ x32 . x31 x32 ⟶ (x32 = x30 ⟶ False) ⟶ False.
Assume H8:
∀ x32 x33 . x1 x32 x33 ⟶ (x31 x33 ⟶ False) ⟶ (x0 x32 x33 ⟶ False) ⟶ False.
Assume H9:
∀ x32 x33 . (x0 (x29 x32 x33) x32 ⟶ False) ⟶ (x0 (x29 x32 x33) x33 ⟶ False) ⟶ (x33 = x32 ⟶ False) ⟶ False.
Assume H10:
∀ x32 x33 . x0 (x29 x32 x33) x33 ⟶ x0 (x29 x32 x33) x32 ⟶ (x33 = x32 ⟶ False) ⟶ False.
Assume H11:
∀ x32 x33 . x0 x33 x32 ⟶ (x1 x33 x32 ⟶ False) ⟶ False.
Assume H12:
∀ x32 x33 . x3 x33 ⟶ (x2 (x2 x33 x32) x32 = x2 x33 x32 ⟶ False) ⟶ False.
Assume H13:
x28 x27 ⟶ False.
Assume H14:
x31 x4 ⟶ False.
Assume H16:
x31 x26 ⟶ False.
Assume H20:
x31 x23 ⟶ False.
Assume H21:
∀ x32 . (x31 x32 ⟶ False) ⟶ x3 x32 ⟶ x31 (x22 x32) ⟶ False.
Assume H22:
∀ x32 x33 x34 x35 . (x3 (x6 (x7 x33 x32) (x7 x35 x34)) ⟶ False) ⟶ False.
Assume H23:
∀ x32 . x31 x32 ⟶ (x31 (x22 x32) ⟶ False) ⟶ False.
Assume H24:
∀ x32 x33 . (x3 (x8 (x7 x33 x32)) ⟶ False) ⟶ False.
Assume H25:
∀ x32 x33 . x31 (x6 x32 x33) ⟶ False.
Assume H26:
∀ x32 . (x28 (x8 x32) ⟶ False) ⟶ False.
Assume H27:
∀ x32 . x31 (x8 x32) ⟶ False.
Assume H28:
∀ x32 x33 . x31 (x7 x32 x33) ⟶ False.
Assume H29:
∀ x32 x33 . (x25 (x7 x32 x33) ⟶ False) ⟶ False.
Assume H31:
∀ x32 x33 . x31 x33 ⟶ x3 x33 ⟶ (x3 (x2 x33 x32) ⟶ False) ⟶ False.
Assume H32:
∀ x32 x33 . x31 x33 ⟶ x3 x33 ⟶ (x31 (x2 x33 x32) ⟶ False) ⟶ False.
Assume H33:
∀ x32 x33 . ... ⟶ x31 ... ⟶ (x3 (x2 x33 x32) ⟶ False) ⟶ False.