YES

NOTE: input TRS is reduced

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

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

0.15