YES
O(n^5)
TRS:
 {
        a(X) -> e(),
        b(X) -> e(),
        c(X) -> e(),
  c(b(a(X))) -> a(a(b(b(c(c(X))))))
 }
 DUP: We consider a non-duplicating system.
  Trs:
   {
          a(X) -> e(),
          b(X) -> e(),
          c(X) -> e(),
    c(b(a(X))) -> a(a(b(b(c(c(X))))))
   }
  Matrix Interpretation:
   Interpretation class: triangular
         [0]
         [0]
   [e] = [0]
         [0]
         [0]
   
       [X4]    [1 0 1 1 0][X4]   [1]
       [X3]    [0 0 1 1 0][X3]   [0]
   [c]([X2]) = [0 0 0 1 0][X2] + [0]
       [X1]    [0 0 0 0 0][X1]   [0]
       [X0]    [0 0 0 0 0][X0]   [1]
   
       [X4]    [1 1 0 0 0][X4]   [1]
       [X3]    [0 0 0 0 0][X3]   [0]
   [b]([X2]) = [0 0 1 1 1][X2] + [1]
       [X1]    [0 0 0 0 1][X1]   [0]
       [X0]    [0 0 0 0 0][X0]   [0]
   
       [X4]    [1 0 0 0 1][X4]   [1]
       [X3]    [0 0 1 1 1][X3]   [1]
   [a]([X2]) = [0 0 0 1 0][X2] + [1]
       [X1]    [0 0 0 1 0][X1]   [0]
       [X0]    [0 0 0 0 0][X0]   [1]
   
   
   Qed