Let x0 of type ι → ο be given.
Let x1 of type ι → ι → ι be given.
Let x2 of type ι → ι → ι be given.
Let x3 of type ι be given.
Let x4 of type ι be given.
Let x5 of type ι → ι → ι be given.
Let x6 of type ι be given.
Let x7 of type ι → ο be given.
Let x8 of type ι be given.
Let x9 of type ι → ο be given.
Let x10 of type ι be given.
Let x11 of type ι → ο be given.
Let x12 of type ι be given.
Let x13 of type ι be given.
Let x14 of type ι → ο be given.
Let x15 of type ι be given.
Let x16 of type ι → ο 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 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 be given.
Let x27 of type ι be given.
Let x28 of type ι → ο be given.
Let x29 of type ι → ο be given.
Let x30 of type ι → ι be given.
Let x31 of type ι → ο be given.
Let x32 of type ι → ο be given.
Let x33 of type ι → ο be given.
Let x34 of type ι → ο be given.
Let x35 of type ι → ο be given.
Let x36 of type ι be given.
Let x37 of type ι be given.
Let x38 of type ι be given.
Let x39 of type ι be given.
Let x40 of type ι → ο be given.
Let x41 of type ι → ο be given.
Let x42 of type ι → ο be given.
Let x43 of type ι → ο be given.
Let x44 of type ι → ι → ι be given.
Let x45 of type ι be given.
Let x46 of type ι be given.
Let x47 of type ι → ι be given.
Let x48 of type ι be given.
Let x49 of type ι be given.
Let x50 of type ι be given.
Let x51 of type ι → ο be given.
Let x52 of type ι be given.
Let x53 of type ι → ο be given.
Let x54 of type ι → ι be given.
Let x55 of type ι be given.
Let x56 of type ι → ο 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 be given.
Let x61 of type ι → ι → ο be given.
Let x62 of type ι → ι be given.
Let x63 of type ι be given.
Let x64 of type ι be given.
Let x65 of type ι → ο be given.
Let x66 of type ι → ι → ι be given.
Let x67 of type ι → ο be given.
Let x68 of type ι → ι → ι be given.
Let x69 of type ι → ι → ι → ο be given.
Let x70 of type ι be given.
Let x71 of type ι → ι be given.
Let x72 of type ι → ι → ι be given.
Let x73 of type ι → ι be given.
Let x74 of type ι → ι → ο be given.
Let x75 of type ι → ι → ο be given.
Let x76 of type ι → ι be given.
Let x77 of type ι be given.
Let x78 of type ι → ι → ο be given.
Let x79 of type ι → ο be given.
Assume H5:
∀ x80 x81 . x79 x81 ⟶ (x81 = x80 ⟶ False) ⟶ x79 x80 ⟶ False.
Assume H6:
∀ x80 x81 x82 x83 . x0 x83 ⟶ x0 x80 ⟶ x0 x82 ⟶ x0 x81 ⟶ (x2 (x2 x83 x80) (x2 x82 x81) = x2 (x1 x83 x81) (x1 x80 x82) ⟶ False) ⟶ False.
Assume H7:
∀ x80 x81 . x78 x80 x81 ⟶ x79 x81 ⟶ False.
Assume H8:
∀ x80 x81 x82 x83 . x0 x83 ⟶ x0 x80 ⟶ x0 x82 ⟶ x0 x81 ⟶ (x1 (x2 x83 x80) (x2 x82 x81) = x2 (x1 x83 x82) (x1 x80 x81) ⟶ False) ⟶ False.
Assume H9:
∀ x80 . x79 x80 ⟶ (x80 = x77 ⟶ False) ⟶ False.
Assume H10:
∀ x80 . x0 x80 ⟶ (x2 x80 x3 = x80 ⟶ False) ⟶ False.
Assume H11:
∀ x80 x81 x82 . x78 x80 x81 ⟶ x75 x81 (x76 x82) ⟶ x79 x82 ⟶ False.
Assume H12:
∀ x80 x81 x82 . x78 x81 x82 ⟶ x75 x82 (x76 x80) ⟶ (x75 x81 x80 ⟶ False) ⟶ False.
Assume H13:
∀ x80 x81 . x74 x81 x80 ⟶ (x75 x81 (x76 x80) ⟶ False) ⟶ False.
Assume H14:
∀ x80 x81 . x75 x81 (x76 x80) ⟶ (x74 x81 x80 ⟶ False) ⟶ False.
Assume H15:
∀ x80 . x0 x80 ⟶ (x1 x3 x80 = x80 ⟶ False) ⟶ False.
Assume H16:
∀ x80 x81 . x75 x80 x81 ⟶ (x79 x81 ⟶ False) ⟶ (x78 x80 x81 ⟶ False) ⟶ False.
Assume H17:
∀ x80 x81 . x78 x81 x80 ⟶ (x75 x81 x80 ⟶ False) ⟶ False.
Assume H19:
∀ x80 x81 . x0 x81 ⟶ x0 x80 ⟶ (x72 (x73 x81) (x73 x80) = x72 x80 x81 ⟶ False) ⟶ False.
Assume H20:
∀ x80 x81 . x0 x81 ⟶ x0 x80 ⟶ (x5 (x73 x81) (x73 x80) = x73 (x5 x81 x80) ⟶ False) ⟶ False.
Assume H21:
∀ x80 x81 x82 . ... ⟶ ... ⟶ ... ⟶ (x1 (x1 x82 ...) ... = ... ⟶ False) ⟶ False.