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