YES

NOTE: input TRS is reduced

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

reduced to
   5: c0() -> c2()
   6: g0(c0()) -> c1()
   7: c1() -> f0(c1(),f0(c2(),c0()))

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