YES

NOTE: input TRS is reduced

original is
   1: c0() -> c0()
   2: f0(c1(),c0()) -> f0(c0(),c1())
   3: f0(x1,c0()) -> c1()

reduced to
   2: f0(c1(),c0()) -> f0(c0(),c1())
   3: f0(x1,c0()) -> c1()

0.02