YES
Time: 0.001778
TRS:
 {f(x, x) -> f(a(), b()),
      b() -> c()}
 DP:
  DP:
   {f#(x, x) -> f#(a(), b()),
    f#(x, x) -> b#()}
  TRS:
  {f(x, x) -> f(a(), b()),
       b() -> c()}
  EDG:
   {}
   STATUS:
    arrows: 1.000000
    SCCS (0):