Let x0 of type ι → ι → ι be given.
Let x1 of type ι be given.
Let x2 of type ι → ι → ι be given.
Let x3 of type ι → ο be given.
Let x4 of type ι → ι → ι be given.
Let x5 of type ι → ο be given.
Let x6 of type ι → ι → ο be given.
Let x7 of type ι → ο be given.
Let x8 of type ι → ο be given.
Let x9 of type ι → ι → ο be given.
Let x10 of type ι → ο be given.
Let x11 of type ι be given.
Let x12 of type ι be given.
Let x13 of type ι → ο be given.
Let x14 of type ι be given.
Let x15 of type ι → ο 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 be given.
Let x20 of type ι → ο be given.
Let x21 of type ι → ι be given.
Let x22 of type ι → ο be given.
Let x23 of type ι be given.
Let x24 of type ι be given.
Let x25 of type ι be given.
Let x26 of type ι → ο be given.
Let x27 of type ι → ο be given.
Let x28 of type ι be given.
Let x29 of type ι → ο be given.
Let x30 of type 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 be given.
Let x34 of type ι → ο be given.
Let x35 of type ι → ι → ι be given.
Let x36 of type ι be given.
Let x37 of type ι be given.
Let x38 of type ι → ι be given.
Let x39 of type ι → ι → ι be given.
Assume H5:
(x39 x37 (x38 x37) = x36 ⟶ False) ⟶ False.
Assume H7:
(x0 (x38 x1) (x38 x1) = x36 ⟶ False) ⟶ False.
Assume H9:
(x35 (x38 x1) x37 = x38 x1 ⟶ False) ⟶ False.
Assume H10:
(x0 (x38 x37) (x38 x1) = x37 ⟶ False) ⟶ False.
Assume H14:
(x0 (x38 x37) x37 = x38 x1 ⟶ False) ⟶ False.
Assume H15:
(x0 x37 (x38 x37) = x1 ⟶ False) ⟶ False.
Assume H16:
(x2 x37 (x38 x37) = x38 x37 ⟶ False) ⟶ False.
Assume H17:
(x0 (x38 x37) (x38 x37) = x36 ⟶ False) ⟶ False.
Assume H19:
(x38 (x38 x37) = x37 ⟶ False) ⟶ False.
Assume H22:
x3 x1 ⟶ False.
Assume H23:
x3 x37 ⟶ False.
Assume H25:
∀ x40 x41 . x34 x41 ⟶ x34 x40 ⟶ (x31 x41 x40 = x33 (x32 x41 x40) ⟶ False) ⟶ False.
Assume H26:
∀ x40 x41 . x34 x41 ⟶ x34 x40 ⟶ (x32 x41 x40 = x33 (x4 (x33 x41) (x33 x40)) ⟶ False) ⟶ False.
Assume H27:
∀ x40 . x34 x40 ⟶ (x33 x40 = x0 x37 x40 ⟶ False) ⟶ False.
Assume H28:
(x38 (x2 (x38 x37) x1) = x2 x37 x1 ⟶ False) ⟶ False.
Assume H29:
(x38 (x2 x37 x1) = x2 (x38 x37) x1 ⟶ False) ⟶ False.
Assume H31:
(x35 (x2 (x38 x37) x1) (x38 x1) = x37 ⟶ False) ⟶ False.