Let x0 of type ι 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 → ι → ι be given.
Let x4 of type ι be given.
Let x5 of type ι → ι → ι be given.
Let x6 of type ι → ι → ι → ι be given.
Let x7 of type ι → ι → ι be given.
Let x8 of type ι → ι → ι → ι be given.
Let x9 of type ι → ι → ι → ι be given.
Let x10 of type ι → ι → ι be given.
Let x11 of type ι → ι → ι be given.
Let x12 of type ι → ι → ι be given.
Let x13 of type ι → ι → ι be given.
Let x14 of type ο be given.
Assume H2:
∀ x15 . ... ⟶ ∀ x16 . ... ⟶ ∀ x17 . ... ⟶ ∀ x18 . ... ⟶ ∀ x19 . ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ (∀ x20 . ... ⟶ ∀ x21 . In x21 x0 ⟶ ∀ x22 . In x22 x0 ⟶ In (x9 x20 x21 x22) x0) ⟶ (∀ x20 . In x20 x0 ⟶ ∀ x21 . In x21 x0 ⟶ x10 x20 x21 = x1 x20 (x1 x21 (x2 x20 x4))) ⟶ (∀ x20 . In x20 x0 ⟶ ∀ x21 . In x21 x0 ⟶ In (x10 x20 x21) x0) ⟶ (∀ x20 . In x20 x0 ⟶ ∀ x21 . In x21 x0 ⟶ x12 x20 x21 = x1 (x2 x20 x21) (x2 (x2 x20 x4) x4)) ⟶ (∀ x20 . In x20 x0 ⟶ ∀ x21 . In x21 x0 ⟶ In (x12 x20 x21) x0) ⟶ (∀ x20 . In x20 x0 ⟶ ∀ x21 . In x21 x0 ⟶ x11 x20 x21 = x1 (x1 (x3 x4 x20) x21) x20) ⟶ (∀ x20 . In x20 x0 ⟶ ∀ x21 . In x21 x0 ⟶ In (x11 x20 x21) x0) ⟶ (∀ x20 . In x20 x0 ⟶ ∀ x21 . In x21 x0 ⟶ x13 x20 x21 = x1 (x3 x4 (x3 x4 x20)) (x3 x21 x20)) ⟶ (∀ x20 . In x20 x0 ⟶ ∀ x21 . In x21 x0 ⟶ In (x13 x20 x21) x0) ⟶ (∀ x20 . In x20 x0 ⟶ x1 x4 x20 = x20) ⟶ (∀ x20 . In x20 x0 ⟶ x1 x20 x4 = x20) ⟶ (∀ x20 . In x20 x0 ⟶ ∀ x21 . In x21 x0 ⟶ x2 x20 (x1 x20 x21) = x21) ⟶ (∀ x20 . In x20 x0 ⟶ ∀ x21 . In x21 x0 ⟶ x1 x20 (x2 x20 x21) = x21) ⟶ (∀ x20 . In x20 x0 ⟶ ∀ x21 . In x21 x0 ⟶ x3 (x1 x20 x21) x21 = x20) ⟶ (∀ x20 . In x20 x0 ⟶ ∀ x21 . In x21 x0 ⟶ x1 (x3 x20 x21) x21 = x20) ⟶ x14.