YES

NOTE: input TRS is reduced

original is
   5: i0(c0(),c0(),c1(),c1()) -> i0(c2(),c2(),c2(),c2())
   6: c0() -> c1()
   7: c0() -> c2()
   8: c1() -> c0()
   9: c1() -> c2()

reduced to
   6: c0() -> c1()
   8: c1() -> c0()
   9: c1() -> c2()

NOTE: input TRS is reduced

original is
   1: c2() -> g0(f0(c1(),c1()))
   2: c2() -> c1()
   3: c1() -> c1()
   4: c2() -> c0()

reduced to
   1: c2() -> g0(f0(c1(),c1()))
   2: c2() -> c1()
   4: c2() -> c0()

0.01