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() -> 3*
             b_0() -> 3*
             a_0() -> 2*
        f#_0(2, 3) -> 1*}
      Strict:
       {}
      Qed