YES

NOTE: input TRS is reduced

original is
   3: f0(f0(c2(),c0()),c1()) -> c1()
   4: c0() -> f0(c0(),c1())
   5: c0() -> c0()

reduced to
   3: f0(f0(c2(),c0()),c1()) -> c1()
   4: c0() -> f0(c0(),c1())

0.02