YES(?,O(n^2))
TRS:
 {
       or(x, x) -> x,
      and(x, x) -> x,
   not or(x, y) -> and(not x, not y),
  not and(x, y) -> or(not x, not y),
      not not x -> x
 }
 DUP: We consider a non-duplicating system.
  Trs:
   {
         or(x, x) -> x,
        and(x, x) -> x,
     not or(x, y) -> and(not x, not y),
    not and(x, y) -> or(not x, not y),
        not not x -> x
   }
  Matrix Interpretation:
   Interpretation class: triangular
         [X1]    [1 2][X1]   [1]
   [not]([X0]) = [0 1][X0] + [0]
   
         [X3]  [X1]    [1 0][X3]   [1 0][X1]   [1]
   [and]([X2], [X0]) = [0 1][X2] + [0 1][X0] + [1]
   
        [X3]  [X1]    [1 0][X3]   [1 0][X1]   [1]
   [or]([X2], [X0]) = [0 1][X2] + [0 1][X0] + [1]
   
   
   Qed