YES

TRS:

  f(c(s(x),y)) -> f(c(x,s(y)))
  g(c(x,s(y))) -> g(c(s(x),y))
  g(s(f(x))) -> g(f(x))

max/plus interpretations on N:

  f_A(x1) = max{14, 9}
  f#_A(x1) = max{0, 10}
  c_A(x1,x2) = max{3, 1, 2 + x2}
  c#_A(x1,x2) = max{7, 2, 9}
  s_A(x1) = max{15, 4 + x1}
  s#_A(x1) = max{1, -1}
  g_A(x1) = max{0, 0}
  g#_A(x1) = max{6, 2 + x1}

precedence:

  g > f > c > s