YES
TRS:
 {f(x, x) -> f(a(), b()),
      b() -> c()}
 DP:
  Strict:
   {f#(x, x) -> f#(a(), b()),
    f#(x, x) -> b#()}
  Weak:
  {f(x, x) -> f(a(), b()),
       b() -> c()}
  EDG:
   {(f#(x, x) -> f#(a(), b()), f#(x, x) -> b#())
    (f#(x, x) -> f#(a(), b()), f#(x, x) -> f#(a(), b()))}
   SCCS:
    Scc:
     {f#(x, x) -> f#(a(), b())}
    SCC:
     Strict:
      {f#(x, x) -> f#(a(), b())}
     Weak:
     {f(x, x) -> f(a(), b()),
          b() -> c()}
     BOUND:
      Bound: match(-raise)-DP-bounded by 0
      Automaton:
       {       c_0() -> 11* | 9 | 8
               b_0() -> 9*
               a_0() -> 10*
        f#_0(10, 11) -> 6*
         f#_0(10, 9) -> 6*
         f_0(11, 11) -> 7*
         f_0(11, 10) -> 7*
          f_0(11, 9) -> 7*
          f_0(11, 8) -> 7*
          f_0(11, 7) -> 7*
         f_0(10, 11) -> 7*
         f_0(10, 10) -> 7*
          f_0(10, 9) -> 7*
          f_0(10, 8) -> 7*
          f_0(10, 7) -> 7*
          f_0(9, 11) -> 7*
          f_0(9, 10) -> 7*
           f_0(9, 9) -> 7*
           f_0(9, 8) -> 7*
           f_0(9, 7) -> 7*
          f_0(8, 11) -> 7*
          f_0(8, 10) -> 7*
           f_0(8, 9) -> 7*
           f_0(8, 8) -> 7*
           f_0(8, 7) -> 7*
          f_0(7, 11) -> 7*
          f_0(7, 10) -> 7*
           f_0(7, 9) -> 7*
           f_0(7, 8) -> 7*
           f_0(7, 7) -> 7*}
      Strict:
       {}
      Qed