YES

NOTE: input TRS is reduced

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

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

0.01