YES
O(n^5)
TRS:
 {
      b(y, 0()) -> y,
  c(b(y, c(x))) -> c(c(b(a(0(), 0()), y))),
        a(x, y) -> b(x, b(0(), c(y)))
 }
 DUP: We consider a non-duplicating system.
  Trs:
   {
        b(y, 0()) -> y,
    c(b(y, c(x))) -> c(c(b(a(0(), 0()), y))),
          a(x, y) -> b(x, b(0(), c(y)))
   }
  Matrix Interpretation:
   Interpretation class: triangular
       [X9]  [X4]    [1 2 2 2 2][X9]   [1 1 3 2 2][X4]   [3]
       [X8]  [X3]    [0 1 1 0 2][X8]   [0 0 0 2 2][X3]   [1]
   [a]([X7], [X2]) = [0 0 1 3 2][X7] + [0 0 0 0 0][X2] + [0]
       [X6]  [X1]    [0 0 0 1 0][X6]   [0 0 0 0 0][X1]   [0]
       [X5]  [X0]    [0 0 0 0 1][X5]   [0 0 0 0 0][X0]   [0]
   
       [X4]    [1 0 2 0 0][X4]   [0]
       [X3]    [0 0 0 0 0][X3]   [0]
   [c]([X2]) = [0 0 0 0 0][X2] + [0]
       [X1]    [0 0 0 0 0][X1]   [3]
       [X0]    [0 0 0 0 0][X0]   [0]
   
         [1]
         [0]
   [0] = [0]
         [0]
         [0]
   
       [X9]  [X4]    [1 1 0 2 0][X9]   [1 0 0 0 0][X4]   [0]
       [X8]  [X3]    [0 1 0 0 0][X8]   [0 0 0 0 0][X3]   [0]
   [b]([X7], [X2]) = [0 0 1 2 0][X7] + [0 0 0 3 0][X2] + [0]
       [X6]  [X1]    [0 0 0 1 0][X6]   [0 0 0 0 0][X1]   [0]
       [X5]  [X0]    [0 0 0 0 1][X5]   [0 0 0 0 0][X0]   [0]
   
   
   Qed