YES

NOTE: input TRS is reduced

original is
   3: i0(c0(),c0(),c1(),c1()) -> i0(c2(),c2(),c2(),c2())
   4: c0() -> c1()
   5: c0() -> c2()
   6: c1() -> c0()
   7: c1() -> c2()

reduced to
   4: c0() -> c1()
   6: c1() -> c0()
   7: c1() -> c2()

0.02