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 → ο be given.
Let x5 of type ι → ι → ι → ο be given.
Let x6 of type ι → ι → ι → ι be given.
Let x7 of type ι → ι be given.
Let x8 of type ι → ι → ι be given.
Let x9 of type ι → ι → ι → ι → ι be given.
Let x10 of type ι → ι → ο be given.
Let x11 of type ι → ι be given.
Let x12 of type ι → ο 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 → ι be given.
Let x17 of type ι → ι → ι be given.
Let x18 of type ι → ι → ι be given.
Let x19 of type ι be given.
Let x20 of type ι → ι → ι → ο be given.
Let x21 of type ι → ι → ι be given.
Let x22 of type ι → ι → ι be given.
Let x23 of type ι → ο be given.
Let x24 of type ι → ι be given.
Let x25 of type ι → ο be given.
Let x26 of type ι 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 → ο be given.
Let x32 of type ι → ο be given.
Let x33 of type ι → ι be given.
Let x34 of type ι → ι be given.
Let x35 of type ι → ι → ο be given.
Let x36 of type ι → ι → ι be given.
Let x37 of type ι → ο be given.
Let x38 of type ι → ο be given.
Let x39 of type ι → ο be given.
Let x40 of type ι → 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 → ι be given.
Let x45 of type ι → ι be given.
Let x46 of type ι be given.
Let x47 of type ι → ι → ι be given.
Let x48 of type ι → ι → ι → ι → ι be given.
Let x49 of type ι be given.
Let x50 of type ι be given.
Let x51 of type ι be given.
Let x52 of type ι be given.
Let x53 of type ι → ι → ο be given.
Let x54 of type ι → ι → ο be given.
Let x55 of type ι → ι → ι → ι be given.
Let x56 of type ι → ι → ι be given.
Let x57 of type ι → ι be given.
Let x58 of type ι be given.
Let x59 of type ι be given.
Let x60 of type ι → ι → ι → ι be given.
Let x61 of type ι → ι → ι → ι → ο be given.
Let x62 of type ι → ι → ι be given.
Let x63 of type ι → ι → ι → ι → ι → ι be given.
Let x64 of type ι be given.
Let x65 of type ι → ι → ι be given.
Let x66 of type ι → ι → ο be given.
Let x67 of type ι be given.
Let x68 of type ι → ο be given.
Let x69 of type ι be given.
Let x70 of type ι → ο be given.
Let x71 of type ι → ι be given.
Let x72 of type ι → ι → ι → ι → ι be given.
Let x73 of type ι → ι → ο be given.
Let x74 of type ι → ι be given.
Let x75 of type ι be given.
Let x76 of type ι → ο be given.
Assume H5:
∀ x77 x78 . x76 x78 ⟶ (x78 = x77 ⟶ False) ⟶ x76 x77 ⟶ False.
Assume H6:
∀ x77 x78 . x0 x77 x78 ⟶ x76 x78 ⟶ False.
Assume H7:
∀ x77 . x76 x77 ⟶ (x77 = x75 ⟶ False) ⟶ False.
Assume H8:
∀ x77 x78 x79 x80 . (x1 x80 ⟶ False) ⟶ (x15 x80 ⟶ False) ⟶ x2 x80 ⟶ x14 x80 ⟶ x3 x80 ⟶ x13 x80 ⟶ x4 x80 ⟶ x12 x80 ⟶ (x1 x79 ⟶ False) ⟶ (x15 x79 ⟶ False) ⟶ x2 x79 ⟶ x14 x79 ⟶ x3 x79 ⟶ x13 x79 ⟶ x4 x79 ⟶ x12 x79 ⟶ x5 x78 x80 x79 ⟶ x10 x77 (x11 x80) ⟶ (x9 (x7 x80) (x7 x79) x78 (x8 x80 x77) = x8 x79 (x9 (x11 x80) (x11 x79) (x6 x80 x79 x78) x77) ⟶ False) ⟶ False.
Assume H9:
∀ x77 x78 x79 . x0 x77 x78 ⟶ x10 x78 (x74 x79) ⟶ x76 x79 ⟶ False.
Assume H10:
∀ x77 x78 x79 . x0 x78 x79 ⟶ x10 x79 (x74 x77) ⟶ (x10 x78 x77 ⟶ False) ⟶ False.
Assume H11:
∀ x77 x78 . x73 x78 x77 ⟶ (x10 x78 (x74 x77) ⟶ False) ⟶ False.
Assume H12:
∀ x77 x78 . x10 x78 (x74 x77) ⟶ (x73 x78 x77 ⟶ False) ⟶ False.
Assume H13:
∀ x77 x78 . x10 x77 x78 ⟶ (x76 x78 ⟶ False) ⟶ (x0 x77 x78 ⟶ False) ⟶ False.
Assume H14:
∀ x77 x78 . (x1 x78 ⟶ False) ⟶ (x15 x78 ⟶ False) ⟶ x2 x78 ⟶ x14 x78 ⟶ x3 x78 ⟶ x13 x78 ⟶ x4 x78 ⟶ x12 x78 ⟶ x10 x77 (x11 (x16 x78)) ⟶ (x18 x78 (x8 (x16 x78) x77) = x8 x78 (x17 x78 x77) ⟶ False) ⟶ False.
Assume H15:
∀ x77 x78 . x0 x78 x77 ⟶ (x10 x78 x77 ⟶ False) ⟶ False.
Assume H16:
x76 x19 ⟶ False.
Assume H17:
∀ x77 . (x73 x77 x77 ⟶ False) ⟶ False.
Assume H18: ∀ x77 x78 x79 x80 . ....