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