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