YES

NOTE: input TRS is reduced

original is
   3: c2() -> g0(f0(c1(),c1()))
   4: c2() -> c1()
   5: c1() -> c1()
   6: c2() -> c0()

reduced to
   3: c2() -> g0(f0(c1(),c1()))
   4: c2() -> c1()
   6: c2() -> c0()

NOTE: input TRS is reduced

original is
   1: c1() -> c2()
   2: c0() -> c0()

reduced to
   1: c1() -> c2()

0.01