YES
Time: 0.001438
TRS:
 {times(x, 0()) -> 0(),
  times(x, s y) -> plus(times(x, y), x),
   plus(x, 0()) -> x,
   plus(x, s y) -> s plus(x, y),
   plus(0(), x) -> x,
   plus(s x, y) -> s plus(x, y)}
 DP:
  DP:
   {times#(x, s y) -> times#(x, y),
    times#(x, s y) -> plus#(times(x, y), x),
     plus#(x, s y) -> plus#(x, y),
     plus#(s x, y) -> plus#(x, y)}
  TRS:
  {times(x, 0()) -> 0(),
   times(x, s y) -> plus(times(x, y), x),
    plus(x, 0()) -> x,
    plus(x, s y) -> s plus(x, y),
    plus(0(), x) -> x,
    plus(s x, y) -> s plus(x, y)}
  EDG:
   {(times#(x, s y) -> times#(x, y), times#(x, s y) -> plus#(times(x, y), x))
    (times#(x, s y) -> times#(x, y), times#(x, s y) -> times#(x, y))
    (plus#(s x, y) -> plus#(x, y), plus#(s x, y) -> plus#(x, y))
    (plus#(s x, y) -> plus#(x, y), plus#(x, s y) -> plus#(x, y))
    (plus#(x, s y) -> plus#(x, y), plus#(x, s y) -> plus#(x, y))
    (plus#(x, s y) -> plus#(x, y), plus#(s x, y) -> plus#(x, y))
    (times#(x, s y) -> plus#(times(x, y), x), plus#(x, s y) -> plus#(x, y))
    (times#(x, s y) -> plus#(times(x, y), x), plus#(s x, y) -> plus#(x, y))}
   SCCS (2):
    Scc:
     {plus#(x, s y) -> plus#(x, y),
      plus#(s x, y) -> plus#(x, y)}
    Scc:
     {times#(x, s y) -> times#(x, y)}
    SCC (2):
     Strict:
      {plus#(x, s y) -> plus#(x, y),
       plus#(s x, y) -> plus#(x, y)}
     Weak:
     {times(x, 0()) -> 0(),
      times(x, s y) -> plus(times(x, y), x),
       plus(x, 0()) -> x,
       plus(x, s y) -> s plus(x, y),
       plus(0(), x) -> x,
       plus(s x, y) -> s plus(x, y)}
     SPSC:
      Simple Projection:
       pi(plus#) = 1
      Strict:
       {plus#(s x, y) -> plus#(x, y)}
      EDG:
       {(plus#(s x, y) -> plus#(x, y), plus#(s x, y) -> plus#(x, y))}
       SCCS (1):
        Scc:
         {plus#(s x, y) -> plus#(x, y)}
        SCC (1):
         Strict:
          {plus#(s x, y) -> plus#(x, y)}
         Weak:
         {times(x, 0()) -> 0(),
          times(x, s y) -> plus(times(x, y), x),
           plus(x, 0()) -> x,
           plus(x, s y) -> s plus(x, y),
           plus(0(), x) -> x,
           plus(s x, y) -> s plus(x, y)}
         SPSC:
          Simple Projection:
           pi(plus#) = 0
          Strict:
           {}
          Qed
    SCC (1):
     Strict:
      {times#(x, s y) -> times#(x, y)}
     Weak:
     {times(x, 0()) -> 0(),
      times(x, s y) -> plus(times(x, y), x),
       plus(x, 0()) -> x,
       plus(x, s y) -> s plus(x, y),
       plus(0(), x) -> x,
       plus(s x, y) -> s plus(x, y)}
     SPSC:
      Simple Projection:
       pi(times#) = 1
      Strict:
       {}
      Qed