YES

TRS:

  c(b(a(X))) -> a(a(b(b(c(c(X))))))
  a(X) -> e()
  b(X) -> e()
  c(X) -> e()

max/plus interpretations on N:

  c_A(x1) = max{22, -43 + x1}
  c#_A(x1) = max{6, -2}
  b_A(x1) = max{12, 54 + x1}
  b#_A(x1) = max{0, 28 + x1}
  a_A(x1) = max{79, -20 + x1}
  a#_A(x1) = max{4, -3}
  e_A = 13
  e#_A = 2

precedence:

  b > c > e > a