YES

TRS:

  cond(true(),x) -> cond(odd(x),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{0, 2, 1}
  cond#_A(x1,x2) = max{3, 1 + x1, 5 + x2}
  true_A = 6
  true#_A = 3
  odd_A(x1) = max{1, -1 + x1}
  odd#_A(x1) = max{2, 4}
  p_A(x1) = max{1, -3 + x1}
  p#_A(x1) = max{7, 2}
  0_A = 1
  0#_A = 1
  false_A = 1
  false#_A = 0
  s_A(x1) = max{7, 3 + x1}
  s#_A(x1) = max{5, 5}

precedence:

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