Let x0 of type ι → ο be given.
Let x1 of type ι → ι → ι → ι → ο be given.
Let x2 of type ι → ι → ι → ι → ο be given.
Assume H0: ∀ x3 x4 x5 x6 . x0 x3 ⟶ x0 x4 ⟶ x0 x5 ⟶ x0 x6 ⟶ ∀ x7 : ο . (x1 x3 x4 x5 x6 ⟶ x7) ⟶ (x2 x3 x4 x5 x6 ⟶ x7) ⟶ (x1 x5 x6 x3 x4 ⟶ x7) ⟶ x7.
Assume H1: ∀ x3 x4 x5 x6 . x0 x3 ⟶ x0 x4 ⟶ x0 x5 ⟶ x0 x6 ⟶ x2 x3 x4 x5 x6 ⟶ x2 x5 x6 x3 x4.
Let x3 of type ι be given.
Assume H2: x0 x3.
Let x4 of type ι be given.
Assume H3: x0 x4.
Let x5 of type ι be given.
Assume H4: x0 x5.
Let x6 of type ι be given.
Assume H5: x0 x6.
Let x7 of type ι be given.
Assume H6: x0 x7.
Let x8 of type ι be given.
Assume H7: x0 x8.
Let x9 of type ι be given.
Assume H8: x0 x9.
Let x10 of type ι be given.
Assume H9: x0 x10.
Let x11 of type ι be given.
Assume H10: x0 x11.
Let x12 of type ι be given.
Assume H11: x0 x12.
Let x13 of type ι be given.
Assume H12: x0 x13.
Let x14 of type ι be given.
Assume H13: x0 x14.
Assume H14:
not (x2 x3 x4 x5 x6).
Assume H15:
not (x2 x3 x4 x7 x8).
Assume H16:
not (x2 x3 x4 x9 x10).
Assume H17:
not (x2 x3 x4 x11 x12).
Assume H18:
not (x2 x3 x4 x13 x14).
Assume H19:
not (x2 x5 x6 x7 x8).
Assume H20:
not (x2 x5 x6 x9 x10).
Assume H21:
not (x2 x5 x6 x11 x12).
Assume H22:
not (x2 x5 x6 x13 x14).
Assume H23:
not (x2 x7 x8 x9 x10).
Assume H24:
not (x2 x7 x8 x11 x12).
Assume H25:
not (x2 x7 x8 x13 x14).
Assume H26:
not (x2 x9 x10 x11 x12).
Assume H27:
not (x2 x9 x10 x13 x14).
Assume H28:
not (x2 x11 x12 x13 x14).
Let x15 of type ο be given.
Assume H29:
∀ x16 . ... ⟶ ∀ x17 . ... ⟶ ∀ x18 . ... ⟶ ∀ x19 . ... ⟶ ∀ x20 . ... ⟶ ∀ x21 . ... ⟶ ∀ x22 . ... ⟶ ∀ x23 . ... ⟶ ∀ x24 . ... ⟶ ∀ x25 . ... ⟶ ∀ x26 . ... ⟶ ∀ x27 . ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ not (x2 ... ... ... ...) ⟶ not (x2 x22 x23 x24 x25) ⟶ not (x2 x22 x23 x26 x27) ⟶ not (x2 x24 x25 x26 x27) ⟶ (∀ x28 : ο . (x16 = x3 ⟶ x17 = x4 ⟶ x28) ⟶ (x18 = x3 ⟶ x19 = x4 ⟶ x28) ⟶ (x20 = x3 ⟶ x21 = x4 ⟶ x28) ⟶ (x22 = x3 ⟶ x23 = x4 ⟶ x28) ⟶ (x24 = x3 ⟶ x25 = x4 ⟶ x28) ⟶ (x26 = x3 ⟶ x27 = x4 ⟶ x28) ⟶ x28) ⟶ x15.