YES
O(n^5)
TRS:
 {
       implies(x, or(y, z)) -> or(y, implies(x, z)),
         implies(not(x), y) -> or(x, y),
  implies(not(x), or(y, z)) -> implies(y, or(x, z))
 }
 DUP: We consider a non-duplicating system.
  Trs:
   {
         implies(x, or(y, z)) -> or(y, implies(x, z)),
           implies(not(x), y) -> or(x, y),
    implies(not(x), or(y, z)) -> implies(y, or(x, z))
   }
  Matrix Interpretation:
   Interpretation class: triangular
         [X4]    [1 0 0 0 0][X4]   [1]
         [X3]    [0 0 0 0 0][X3]   [0]
   [not]([X2]) = [0 0 0 0 0][X2] + [0]
         [X1]    [0 0 0 0 0][X1]   [0]
         [X0]    [0 0 0 0 0][X0]   [0]
   
             [X9]  [X4]    [1 0 0 0 0][X9]   [1 1 0 0 0][X4]   [0]
             [X8]  [X3]    [0 0 0 0 0][X8]   [0 1 0 0 0][X3]   [1]
   [implies]([X7], [X2]) = [0 0 0 0 0][X7] + [0 0 0 0 0][X2] + [0]
             [X6]  [X1]    [0 0 0 0 0][X6]   [0 0 0 0 0][X1]   [0]
             [X5]  [X0]    [0 0 0 0 0][X5]   [0 0 0 0 0][X0]   [0]
   
        [X9]  [X4]    [1 0 0 0 0][X9]   [1 0 0 0 0][X4]   [0]
        [X8]  [X3]    [0 0 0 0 0][X8]   [0 1 0 0 0][X3]   [1]
   [or]([X7], [X2]) = [0 0 0 0 0][X7] + [0 0 0 0 0][X2] + [0]
        [X6]  [X1]    [0 0 0 0 0][X6]   [0 0 0 0 0][X1]   [0]
        [X5]  [X0]    [0 0 0 0 0][X5]   [0 0 0 0 0][X0]   [0]
   
   
   Qed