Let x0 of type ι → ι → ο be given.
Let x1 of type ι → ι → ι be given.
Let x2 of type ι be given.
Let x3 of type ι → ι → ι be given.
Let x4 of type ι be given.
Let x5 of type ι → ι → ι be given.
Let x6 of type ι → ι → ι → ι be given.
Let x7 of type ι → ι → ι → ι be given.
Let x8 of type ι → ι → ι → ι be given.
Let x9 of type ι be given.
Let x10 of type 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 → ι be given.
Let x14 of type ι → ι → ι → ι → ι be given.
Let x15 of type ι → ι be given.
Let x16 of type ι be given.
Let x17 of type ι be given.
Let x18 of type ι → ο be given.
Assume H5:
∀ x19 x20 . x18 x20 ⟶ (x20 = x19 ⟶ False) ⟶ x18 x19 ⟶ False.
Assume H6:
∀ x19 x20 . x0 x19 x20 ⟶ x18 x20 ⟶ False.
Assume H7:
∀ x19 . x18 x19 ⟶ (x19 = x17 ⟶ False) ⟶ False.
Assume H8:
∀ x19 x20 x21 x22 . x1 x20 x22 = x1 x19 x21 ⟶ (x22 = x21 ⟶ False) ⟶ False.
Assume H9:
∀ x19 x20 x21 x22 . x1 x22 x20 = x1 x21 x19 ⟶ (x22 = x21 ⟶ False) ⟶ False.
Assume H10:
x18 x2 ⟶ False.
Assume H12:
∀ x19 x20 . x18 (x3 x19 x20) ⟶ False.
Assume H13:
∀ x19 . x18 (x15 x19) ⟶ False.
Assume H14:
∀ x19 x20 . x18 (x1 x19 x20) ⟶ False.
Assume H17:
∀ x19 x20 . (x1 x20 x19 = x3 (x3 x20 x19) (x15 x20) ⟶ False) ⟶ False.
Assume H18:
∀ x19 x20 x21 . (x6 x19 x20 x21 = x1 (x8 x19 x20 x21) (x7 x19 x20 x21) ⟶ False) ⟶ (x0 (x6 x19 x20 x21) x19 ⟶ False) ⟶ (x19 = x5 x21 x20 ⟶ False) ⟶ False.
Assume H19:
∀ x19 x20 x21 . (x0 (x7 x19 x20 x21) x20 ⟶ False) ⟶ (x0 (x6 x19 x20 x21) x19 ⟶ False) ⟶ (x19 = x5 x21 x20 ⟶ False) ⟶ False.
Assume H20:
∀ x19 x20 x21 . (x0 (x8 x19 x20 x21) x21 ⟶ False) ⟶ (x0 (x6 x19 x20 x21) x19 ⟶ False) ⟶ (x19 = x5 x21 x20 ⟶ False) ⟶ False.
Assume H21:
∀ x19 x20 x21 x22 x23 . x0 (x6 x23 x21 x22) x23 ⟶ x0 x19 x22 ⟶ x0 x20 x21 ⟶ x6 x23 x21 x22 = x1 x19 x20 ⟶ (x23 = x5 x22 x21 ⟶ False) ⟶ False.
Assume H22:
∀ x19 x20 x21 x22 x23 x24 . x24 = x5 x22 x23 ⟶ x0 x19 x22 ⟶ x0 x21 x23 ⟶ x20 = x1 x19 x21 ⟶ (x0 x20 x24 ⟶ False) ⟶ False.
Assume H23:
∀ x19 x20 x21 x22 . ... = ... ⟶ x0 x19 x22 ⟶ (x19 = x1 (x13 x19 x22 x21 x20) (x14 x19 x22 x21 x20) ⟶ False) ⟶ False.