YES

linear polynomial interpretations on natural numbers:

  odd_A(x1) = 2
  s_A(x1) = 1
  false_A = 1
  true_A = 2
  even_A(x1) = x1 + 2
  zero_A(x1) = x1
  0_A = 2



the condition zero(s(x)) ->> true() is unsatisfiable for all substitutions.