YES

TRS:

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

max/plus interpretations on N:

  cond_A(x1,x2,x3) = max{0, 3, 1, 2}
  cond#_A(x1,x2,x3) = max{9, -1 + x1, 5 + x2, 1}
  true_A = 14
  true#_A = 3
  gr_A(x1,x2) = max{1, -1 + x1, 1}
  gr#_A(x1,x2) = max{13, 4, 2}
  p_A(x1) = max{3, -5 + x1}
  p#_A(x1) = max{12, 10}
  s_A(x1) = max{15, 5 + x1}
  s#_A(x1) = max{0, 4}
  0_A = 3
  0#_A = 11
  false_A = 2
  false#_A = 5

precedence:

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