YES
Time: 0.000803
TRS:
 {              merge(x, nil()) -> x,
                merge(nil(), y) -> y,
  merge(++(x, y), ++(u(), v())) -> ++(x, merge(y, ++(u(), v()))),
  merge(++(x, y), ++(u(), v())) -> ++(u(), merge(++(x, y), v()))}
 RUF:
  Strict:
   {merge(++(x, y), ++(u(), v())) -> ++(x, merge(y, ++(u(), v()))),
    merge(++(x, y), ++(u(), v())) -> ++(u(), merge(++(x, y), v()))}
  Weak:
   {}
  DP:
   DP:
    {merge#(++(x, y), ++(u(), v())) -> merge#(y, ++(u(), v())),
     merge#(++(x, y), ++(u(), v())) -> merge#(++(x, y), v())}
   TRS:
   {merge(++(x, y), ++(u(), v())) -> ++(x, merge(y, ++(u(), v()))),
    merge(++(x, y), ++(u(), v())) -> ++(u(), merge(++(x, y), v()))}
   EDG:
    {(merge#(++(x, y), ++(u(), v())) -> merge#(y, ++(u(), v())), merge#(++(x, y), ++(u(), v())) -> merge#(y, ++(u(), v())))
     (merge#(++(x, y), ++(u(), v())) -> merge#(y, ++(u(), v())), merge#(++(x, y), ++(u(), v())) -> merge#(++(x, y), v()))}
    SCCS (1):
     Scc:
      {merge#(++(x, y), ++(u(), v())) -> merge#(y, ++(u(), v()))}
     SCC (1):
      Strict:
       {merge#(++(x, y), ++(u(), v())) -> merge#(y, ++(u(), v()))}
      Weak:
      {merge(++(x, y), ++(u(), v())) -> ++(x, merge(y, ++(u(), v()))),
       merge(++(x, y), ++(u(), v())) -> ++(u(), merge(++(x, y), v()))}
      SPSC:
       Simple Projection:
        pi(merge#) = 0
       Strict:
        {}
       Qed