Let x0 of type ι → ι → ι → ι be given.
Let x1 of type ι → ο be given.
Let x2 of type ι → ι → ι → ο be given.
Let x3 of type ι → ο be given.
Let x4 of type ι → ι → ι → ι be given.
Let x5 of type ι → ο be given.
Let x6 of type ι → ι be given.
Let x7 of type ι be given.
Let x8 of type ι be given.
Let x9 of type ι → ο be given.
Let x10 of type ι → ι be given.
Let x11 of type ι → ι be given.
Let x12 of type ι → ι be given.
Let x13 of type ι → ο be given.
Let x14 of type ι → ο be given.
Let x15 of type ι → ο 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 → ο be given.
Let x20 of type ι → ο be given.
Let x21 of type ι → ι → ι → ι be given.
Let x22 of type ι be given.
Let x23 of type ι → ο 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 → 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 → ι → ι → ο be given.
Let x31 of type ι → ι be given.
Let x32 of type ι → ο be given.
Let x33 of type ι → ο be given.
Let x34 of type ι → ο be given.
Let x35 of type ι → ι be given.
Let x36 of type ι → ι → ο be given.
Let x37 of type ι → ι → ι → ο be given.
Let x38 of type ι → ι → ι → ι be given.
Let x39 of type ι → ο be given.
Let x40 of type ι → ο be given.
Let x41 of type ι → ο be given.
Assume H5:
∀ x42 x43 x44 x45 . (x41 x45 ⟶ False) ⟶ x33 x45 ⟶ x40 x45 ⟶ x34 x45 ⟶ x39 x45 ⟶ x36 x42 (x35 x45) ⟶ x36 x44 (x35 x45) ⟶ x36 x43 (x35 x45) ⟶ x37 x45 x42 x44 ⟶ (x37 x45 (x38 x45 x42 x43) (x38 x45 x44 x43) ⟶ False) ⟶ False.
Assume H6:
∀ x42 x43 x44 . (x41 x44 ⟶ False) ⟶ x1 x44 ⟶ x40 x44 ⟶ x39 x44 ⟶ x36 x43 (x35 x44) ⟶ x36 x42 (x35 x44) ⟶ (x37 x44 (x0 x44 x43 x42) x43 ⟶ False) ⟶ False.
Assume H7:
∀ x42 x43 x44 . (x41 x44 ⟶ False) ⟶ x28 x44 ⟶ x32 x44 ⟶ x39 x44 ⟶ x36 x43 (x35 x44) ⟶ x36 x42 (x35 x44) ⟶ x30 x44 x43 (x29 x44 x42) ⟶ (x0 x44 x43 x42 = x31 x44 ⟶ False) ⟶ False.
Assume H8:
∀ x42 x43 x44 . (x41 x44 ⟶ False) ⟶ x28 x44 ⟶ x32 x44 ⟶ x39 x44 ⟶ x36 x43 (x35 x44) ⟶ x36 x42 (x35 x44) ⟶ x0 x44 x43 x42 = x31 x44 ⟶ (x30 x44 x43 (x29 x44 x42) ⟶ False) ⟶ False.
Assume H9:
∀ x42 x43 x44 . (x41 x44 ⟶ False) ⟶ x28 x44 ⟶ x32 x44 ⟶ x39 x44 ⟶ x36 x43 (x35 x44) ⟶ x36 x42 (x35 x44) ⟶ (x29 x44 (x0 x44 x43 x42) = x27 x44 (x29 x44 x43) (x29 x44 x42) ⟶ False) ⟶ False.
Assume H10:
∀ x42 x43 . (x41 x43 ⟶ False) ⟶ x28 x43 ⟶ x32 x43 ⟶ x39 x43 ⟶ x36 x42 (x35 x43) ⟶ (x0 x43 (x29 x43 x42) x42 = x31 x43 ⟶ False) ⟶ False.
Assume H11:
∀ x42 x43 . (x41 x43 ⟶ False) ⟶ x28 x43 ⟶ x26 x43 ⟶ x39 x43 ⟶ x36 x42 (x35 x43) ⟶ (x30 x43 (x31 x43) x42 ⟶ False) ⟶ False.
Assume H12:
∀ x42 x43 x44 . ... ⟶ ... ⟶ ... ⟶ ... ⟶ x36 x43 (x35 ...) ⟶ x2 x44 x42 x43 ⟶ (x2 x44 x43 x42 ⟶ False) ⟶ False.