YES

TRS:

  rev(nil()) -> nil()
  rev(.(x,y)) -> ++(rev(y),.(x,nil()))
  car(.(x,y)) -> x
  cdr(.(x,y)) -> y
  null(nil()) -> true()
  null(.(x,y)) -> false()
  ++(nil(),y) -> y
  ++(.(x,y),z) -> .(x,++(y,z))

max/plus interpretations on N:

  rev_A(x1) = max{10, 1 + x1}
  rev#_A(x1) = max{0, 1 + x1}
  nil_A = 9
  nil#_A = 7
  ._A(x1,x2) = max{4, 8 + x1, x2}
  .#_A(x1,x2) = max{6, 3, 2}
  ++_A(x1,x2) = max{10, x1, 1 + x2}
  ++#_A(x1,x2) = max{7, 8, 4}
  car_A(x1) = max{0, -8 + x1}
  car#_A(x1) = max{0, x1}
  cdr_A(x1) = max{0, x1}
  cdr#_A(x1) = max{0, x1}
  null_A(x1) = max{0, -1}
  null#_A(x1) = max{3, 5}
  true_A = 0
  true#_A = 4
  false_A = 0
  false#_A = 4

precedence:

  nil = null > rev = . = car = cdr = true > ++ = false