YES
TRS:
 {      *(x, x) -> x,
  *(x, *(y, z)) -> *(*(x, y), z)}
 DP:
  Strict:
   {*#(x, *(y, z)) -> *#(x, y),
    *#(x, *(y, z)) -> *#(*(x, y), z)}
  Weak:
  {      *(x, x) -> x,
   *(x, *(y, z)) -> *(*(x, y), z)}
  EDG:
   {(*#(x, *(y, z)) -> *#(*(x, y), z), *#(x, *(y, z)) -> *#(*(x, y), z))
    (*#(x, *(y, z)) -> *#(*(x, y), z), *#(x, *(y, z)) -> *#(x, y))
    (*#(x, *(y, z)) -> *#(x, y), *#(x, *(y, z)) -> *#(x, y))
    (*#(x, *(y, z)) -> *#(x, y), *#(x, *(y, z)) -> *#(*(x, y), z))}
   SCCS:
    Scc:
     {*#(x, *(y, z)) -> *#(x, y),
      *#(x, *(y, z)) -> *#(*(x, y), z)}
    SCC:
     Strict:
      {*#(x, *(y, z)) -> *#(x, y),
       *#(x, *(y, z)) -> *#(*(x, y), z)}
     Weak:
     {      *(x, x) -> x,
      *(x, *(y, z)) -> *(*(x, y), z)}
     SPSC:
      Simple Projection:
       pi(*#) = 1
      Strict:
       {*#(x, *(y, z)) -> *#(*(x, y), z)}
      EDG:
       {(*#(x, *(y, z)) -> *#(*(x, y), z), *#(x, *(y, z)) -> *#(*(x, y), z))}
       SCCS:
        Scc:
         {*#(x, *(y, z)) -> *#(*(x, y), z)}
        SCC:
         Strict:
          {*#(x, *(y, z)) -> *#(*(x, y), z)}
         Weak:
         {      *(x, x) -> x,
          *(x, *(y, z)) -> *(*(x, y), z)}
         SPSC:
          Simple Projection:
           pi(*#) = 1
          Strict:
           {}
          Qed