YES

TRS:

  cond(true(),x) -> cond(and(even(x),gr(x,0())),p(x))
  and(x,false()) -> false()
  and(false(),x) -> false()
  and(true(),true()) -> true()
  even(0()) -> true()
  even(s(0())) -> false()
  even(s(s(x))) -> even(x)
  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) = max{0, 1, -8 + x2}
  cond#_A(x1,x2) = max{19, 15 + x1, 9 + x2}
  true_A = 6
  true#_A = 5
  and_A(x1,x2) = max{0, -8 + x1, x2}
  and#_A(x1,x2) = max{8, x1, 0}
  even_A(x1) = max{1, -3 + x1}
  even#_A(x1) = max{8, 7 + x1}
  gr_A(x1,x2) = max{3, -10 + x1, -7}
  gr#_A(x1,x2) = max{2, 4, 3}
  0_A = 9
  0#_A = 4
  p_A(x1) = max{9, -1 + x1}
  p#_A(x1) = max{20, 3}
  false_A = 0
  false#_A = 1
  s_A(x1) = max{2, 16 + x1}
  s#_A(x1) = max{0, 6}
  y_A = 3
  y#_A = 5

precedence:

  cond > and > true = p > 0 > false > even > s > y > gr