YES
Time: 0.001376
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:
   {(f#(x, x) -> f#(a(), b()), f#(x, x) -> f#(a(), b()))
    (f#(x, x) -> f#(a(), b()), f#(x, x) -> b#())}
   EDG:
    {}
    EDG:
     {}
     STATUS:
      arrows: 1.000000
      SCCS (0):