YES

TRS:

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

linear polynomial interpretations on N:

  c_A(x1) = 3
  c#_A(x1) = 1
  b_A(x1) = 1
  b#_A(x1) = x1 + 1
  a_A(x1) = 3
  a#_A(x1) = 3
  e_A = 0
  e#_A = 0

precedence:

  a > c > b > e