YES

linear polynomial interpretations on natural numbers:

  add_A(x1,x2) = x1 + x2
  s_A(x1) = x1
  0_A = 0
  gcd_A(x1,x2) = x1 + x2
  leq_A(x1,x2) = x1
  false_A = 1



the condition leq(0(),x1) ->> false() is unsatisfiable for all substitutions.