Let x0 of type ι → ι → ο be given.
Let x1 of type ι → ο be given.
Let x2 of type ι → ι → ο be given.
Let x3 of type ι → ι be given.
Let x4 of type ι → ι → ι be given.
Let x5 of type ι → ι → ι be given.
Let x6 of type ι → ι → ι → ι → ι be given.
Let x7 of type ι → ι → ι → ι → ο be given.
Let x8 of type ι → ι → ι → ο be given.
Let x9 of type ι → ι → ο be given.
Let x10 of type ι → ι → ι → ι → ι → ι be given.
Let x11 of type ι → ι be given.
Let x12 of type ι → ι → ι → ι → ο be given.
Let x13 of type ι → ι → ι be given.
Let x14 of type ι → ι → ι → ι → ι be given.
Let x15 of type ι → ι → ι → ι → ι be given.
Let x16 of type ι be given.
Let x17 of type ι → ι → ι be given.
Let x18 of type ι → ι → ι → ι → ο be given.
Let x19 of type ι → ι → ι → ι be given.
Let x20 of type ι be given.
Let x21 of type ι → ι → ο be given.
Let x22 of type ι → ι → ι be given.
Let x23 of type ι → ο be given.
Let x24 of type ι → ι be given.
Let x25 of type ι be given.
Let x26 of type ι be given.
Let x27 of type ι be given.
Let x28 of type ι → ι → ι be given.
Let x29 of type ι → ι → ι be given.
Let x30 of type ι → ι → ι → ι be given.
Let x31 of type ι → ο be given.
Let x32 of type ι → ι → ο be given.
Let x33 of type ι be given.
Let x34 of type ι be given.
Let x35 of type ι be given.
Let x36 of type ι → ι → ι be given.
Let x37 of type ι → ι → ι → ο be given.
Let x38 of type ι → ι → ι be given.
Let x39 of type ι → ο be given.
Let x40 of type ι be given.
Let x41 of type ι → ο be given.
Assume H5:
∀ x42 x43 . x41 x43 ⟶ (x43 = x42 ⟶ False) ⟶ x41 x42 ⟶ False.
Assume H6:
∀ x42 x43 . x0 x42 x43 ⟶ x41 x43 ⟶ False.
Assume H7:
∀ x42 . x41 x42 ⟶ (x42 = x40 ⟶ False) ⟶ False.
Assume H8:
∀ x42 x43 x44 x45 . x1 x45 ⟶ x8 x45 x42 x43 ⟶ x2 x45 (x3 (x4 x42 x43)) ⟶ x1 x44 ⟶ x8 x44 x42 x43 ⟶ x2 x44 (x3 (x4 x42 x43)) ⟶ x5 x45 (x6 x44 x45 x43 x42) = x5 x44 (x6 x44 x45 x43 x42) ⟶ (x7 x42 x43 x45 x44 ⟶ False) ⟶ False.
Assume H9:
∀ x42 x43 x44 x45 . x1 x45 ⟶ x8 x45 x42 x43 ⟶ x2 x45 (x3 (x4 x42 x43)) ⟶ x1 x44 ⟶ x8 x44 x42 x43 ⟶ x2 x44 (x3 (x4 x42 x43)) ⟶ (x2 (x6 x44 x45 x43 x42) x42 ⟶ False) ⟶ (x7 x42 x43 x45 x44 ⟶ False) ⟶ False.
Assume H10:
∀ x42 x43 x44 . x0 x42 x43 ⟶ x2 x43 (x3 x44) ⟶ x41 x44 ⟶ False.
Assume H11:
∀ x42 x43 x44 . x0 x43 x44 ⟶ x2 x44 (x3 x42) ⟶ (x2 x43 x42 ⟶ False) ⟶ False.
Assume H12:
∀ x42 x43 . x9 x43 x42 ⟶ (x2 x43 (x3 x42) ⟶ False) ⟶ False.
Assume H13:
∀ x42 x43 . x2 x43 (x3 x42) ⟶ (x9 x43 x42 ⟶ False) ⟶ False.
Assume H14:
∀ x42 x43 . x2 x42 x43 ⟶ (x41 x43 ⟶ False) ⟶ (x0 x42 x43 ⟶ False) ⟶ False.
Assume H15:
∀ x42 x43 . x0 x43 x42 ⟶ (x2 x43 x42 ⟶ False) ⟶ False.
Assume H16:
∀ x42 x43 x44 x45 . ... ⟶ ... ⟶ ... ⟶ x18 x43 x45 x16 (x17 x45 ...) ⟶ x15 x45 x16 x42 (x14 x43 x44 x42 x45) = x13 (x15 x45 x16 x44 (x14 x43 x44 x42 x45)) (x15 x45 x16 x43 (x14 x43 x44 x42 x45)) ⟶ (x12 x45 x16 x42 (x10 x45 x16 (x11 x45) x44 x43) ⟶ False) ⟶ False.