YES

TRS:

  cond(true(),x) -> cond(odd(x),p(p(p(x))))
  odd(0()) -> false()
  odd(s(0())) -> true()
  odd(s(s(x))) -> odd(x)
  p(0()) -> 0()
  p(s(x)) -> x

max/plus interpretations on N:

  cond_A(x1,x2) = max{3, 2, x2}
  cond#_A(x1,x2) = max{10, 7 + x1, 11 + x2}
  true_A = 8
  true#_A = 2
  odd_A(x1) = max{1, -1 + x1}
  odd#_A(x1) = max{15, 1}
  p_A(x1) = max{3, -5 + x1}
  p#_A(x1) = max{15, 15}
  0_A = 3
  0#_A = 14
  false_A = 2
  false#_A = 0
  s_A(x1) = max{9, 5 + x1}
  s#_A(x1) = max{0, 0}

precedence:

  cond > p > odd = 0 > true = false > s