Let x0 of type ι → ι → ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Let x3 of type ι → ι be given.
Let x4 of type ι → ι → ο be given.
Let x5 of type ι be given.
Let x6 of type ι → ι 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 → ο be given.
Let x11 of type ι → ο be given.
Let x12 of type ι → ι → ι be given.
Let x13 of type ι → ι → ι be given.
Let x14 of type ι → ο be given.
Let x15 of type ι → ο be given.
Let x16 of type ι → ο be given.
Let x17 of type ι → ο be given.
Let x18 of type ι be given.
Let x19 of type ι → ο be given.
Let x20 of type ι → ι → ι be given.
Let x21 of type ι be given.
Let x22 of type ι → ι → ο be given.
Let x23 of type ι → ι be given.
Let x24 of type ι → ι → ι be given.
Let x25 of type ι → ι → ι be given.
Let x26 of type ι → ι be given.
Let x27 of type ι be given.
Let x28 of type ι → ι → ο be given.
Let x29 of type ι → ο be given.
Let x30 of type ι → ι → ο be given.
Let x31 of type ι → ι be given.
Assume H5:
∀ x32 x33 x34 . (x30 x33 (x31 x34) ⟶ False) ⟶ x32 = x33 ⟶ x29 x34 ⟶ x22 x32 x21 ⟶ x28 x32 (x25 (x26 x34) x27) ⟶ x28 (x24 (x23 (x26 x34)) x27) x32 ⟶ False.
Assume H6:
∀ x32 x33 . (x0 x32 x33 = x24 x32 x33 ⟶ False) ⟶ x29 x32 ⟶ x22 x33 x1 ⟶ False.
Assume H7:
∀ x32 x33 . (x20 x32 x33 = x32 ⟶ False) ⟶ x29 x33 ⟶ x30 x32 (x31 x33) ⟶ False.
Assume H8:
∀ x32 . (x22 (x26 x32) x1 ⟶ False) ⟶ x29 x32 ⟶ False.
Assume H9:
∀ x32 . (x23 (x23 x32) = x32 ⟶ False) ⟶ x19 x32 ⟶ False.
Assume H10:
x4 (x3 x2) (x3 (x24 x2 x27)) ⟶ False.
Assume H11:
x28 x18 x27 ⟶ False.
Assume H12:
(x22 x1 (x6 x5) ⟶ False) ⟶ False.
Assume H13:
(x22 x18 x5 ⟶ False) ⟶ False.
Assume H14:
(x22 x27 x1 ⟶ False) ⟶ False.
Assume H15:
(x22 x27 x5 ⟶ False) ⟶ False.
Assume H17:
(x17 x21 ⟶ False) ⟶ False.
Assume H20:
(x8 = x1 ⟶ False) ⟶ False.
Assume H21:
(x16 x8 ⟶ False) ⟶ x9 x8 ⟶ False.
Assume H22:
(x10 x21 ⟶ False) ⟶ x9 x21 ⟶ False.
Assume H23:
(x14 x2 ⟶ False) ⟶ x15 x2 ⟶ False.
Assume H24:
(x14 (x24 (x23 (x26 (x24 x2 x27))) x27) ⟶ False) ⟶ x15 (x24 (x23 (x26 (x24 x2 x27))) x27) ⟶ False.
Assume H25:
(x14 (x25 (x26 x2) x27) ⟶ False) ⟶ x15 (x25 (x26 x2) x27) ⟶ False.
Assume H26:
(x14 (x25 (x26 (x24 x2 x27)) x27) ⟶ False) ⟶ x15 (x25 (x26 (x24 x2 x27)) x27) ⟶ False.
Assume H27:
(x14 (x24 (x23 (x26 x2)) x27) ⟶ False) ⟶ x15 (x24 (x23 (x26 x2)) x27) ⟶ False.
Assume H28:
(x9 x21 ⟶ False) ⟶ x11 x21 ⟶ False.
Assume H29:
(x15 x2 ⟶ False) ⟶ x29 x2 ⟶ False.
Assume H30:
(... ⟶ False) ⟶ x17 x21 ⟶ False.