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()}
     UR:
      {b() -> c()}
      BOUND:
       Bound: match(-raise)-DP-bounded by 0
       Automaton:
        {     c_0() -> 9* | 7 | 6
              b_0() -> 7*
              a_0() -> 8*
         f#_0(8, 9) -> 5*
         f#_0(8, 7) -> 5*}
       Strict:
        {}
       Qed