Let x0 of type ι → ι → ο be given.
Let x1 of type ι → ο be given.
Let x2 of type ι → ο be given.
Let x3 of type ι → ο be given.
Let x4 of type ι → ι → ι → ι → ο be given.
Let x5 of type ι → ι → ι → ι → ο be given.
Let x6 of type ι → ι → ι → ι → ο be given.
Let x7 of type ι → ι → ι → ι be given.
Let x8 of type ι → ι → ο be given.
Let x9 of type ι → ι be given.
Let x10 of type ι → ο be given.
Let x11 of type ι → ο be given.
Let x12 of type ι → ι → ι → ι → ι → ι → ι be given.
Let x13 of type ι → ι → ι → 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 → ι be given.
Let x17 of type ι → ο be given.
Let x18 of type ι be given.
Let x19 of type ι be given.
Let x20 of type ι be given.
Let x21 of type ι be given.
Let x22 of type ι → ι be given.
Let x23 of type ι → ο be given.
Let x24 of type ι be given.
Let x25 of type ι → ι → ι → ι → ι be given.
Let x26 of type ι → ι → ι → ι → ι be given.
Let x27 of type ι → ι → ι → ι → ι be given.
Let x28 of type ι be given.
Let x29 of type ι be given.
Let x30 of type ι be given.
Let x31 of type ι be given.
Let x32 of type ι → ι → ι → ι be given.
Let x33 of type ι → ι → ι → ι be given.
Let x34 of type ι → ι → ι → ι → ι be given.
Let x35 of type ι → ι → ι → ι → ι → ο be given.
Let x36 of type ι → ι → ι → ι → ι be given.
Let x37 of type ι be given.
Let x38 of type ι → ο be given.
Let x39 of type ι be given.
Let x40 of type ι be given.
Let x41 of type ι be given.
Let x42 of type ι → ο be given.
Let x43 of type ι be given.
Let x44 of type ι → ο be given.
Let x45 of type ι be given.
Let x46 of type ι → ο be given.
Let x47 of type ι be given.
Let x48 of type ι → ο be given.
Let x49 of type ι → ι → ι be given.
Let x50 of type ι be given.
Let x51 of type ι → ο be given.
Assume H5:
∀ x52 x53 . x51 x53 ⟶ (x53 = x52 ⟶ False) ⟶ x51 x52 ⟶ False.
Assume H6:
∀ x52 x53 . x0 x52 x53 ⟶ x51 x53 ⟶ False.
Assume H7:
∀ x52 . x51 x52 ⟶ (x52 = x50 ⟶ False) ⟶ False.
Assume H8:
∀ x52 x53 x54 x55 . (x1 x55 ⟶ False) ⟶ x11 x55 ⟶ x2 x55 ⟶ x10 x55 ⟶ x3 x55 ⟶ x8 x52 (x9 x55) ⟶ x8 x54 (x9 x55) ⟶ (x7 x55 x52 x54 = x50 ⟶ False) ⟶ (x7 x55 x54 x52 = x50 ⟶ False) ⟶ x8 x53 (x7 x55 x52 x54) ⟶ x4 x53 x55 x52 x54 ⟶ x5 x53 x55 x52 x54 ⟶ (x6 x53 x55 x52 x54 ⟶ False) ⟶ False.
Assume H9:
∀ x52 x53 x54 x55 . (x1 x55 ⟶ False) ⟶ x11 x55 ⟶ x2 x55 ⟶ x10 x55 ⟶ x3 x55 ⟶ x8 x52 (x9 x55) ⟶ x8 x54 (x9 x55) ⟶ (x7 x55 x52 x54 = x50 ⟶ False) ⟶ (x7 x55 x54 x52 = x50 ⟶ False) ⟶ x8 x53 (x7 x55 x52 x54) ⟶ x6 x53 x55 x52 x54 ⟶ (x5 x53 x55 x52 x54 ⟶ False) ⟶ False.
Assume H10:
∀ x52 x53 x54 x55 . (x1 x55 ⟶ False) ⟶ x11 x55 ⟶ x2 x55 ⟶ x10 x55 ⟶ x3 x55 ⟶ x8 x52 (x9 x55) ⟶ x8 x54 (x9 x55) ⟶ (x7 x55 x52 x54 = x50 ⟶ False) ⟶ (x7 x55 x54 x52 = x50 ⟶ False) ⟶ x8 x53 (x7 x55 x52 x54) ⟶ x6 x53 x55 x52 x54 ⟶ (x4 x53 x55 x52 x54 ⟶ False) ⟶ False.
Assume H11:
∀ x52 x53 . x8 x52 x53 ⟶ (x51 x53 ⟶ False) ⟶ (x0 x52 x53 ⟶ False) ⟶ False.
Assume H12:
∀ x52 x53 x54 x55 x56 x57 x58 x59 . ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ (x12 x59 x58 x57 x53 (x12 x59 x58 x52 x57 x54 x56) x55 = x12 x59 x58 x52 x53 x54 (x12 x59 x52 x57 ... ... ...) ⟶ False) ⟶ False.