Set: pp::colors
  Set: pp::unicode
  Assumed: p
  Assumed: f
  Assumed: g
¬ (∀ x : ℕ, (∃ y : ℕ, p x y ∨ p (f x) (f y)) ∨ f 0 = 1)
====>
(∃ x : ℕ, (∀ x::1 : ℕ, ¬ p x x::1) ∧ (∀ x::1 : ℕ, ¬ p (f x) (f x::1))) ∧ ¬ f 0 = 1