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