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