YES

   1: -(0(),0()) -> 0()
   2: -(s(x1),0()) -> s(x1)
   3: -(x1,s(x2)) -> -(d(x1),x2)
   4: d(s(x1)) -> x1
   6: -(d(x1),x2) -> -(x1,s(x2))

@Rule Labeling
--- R
   1: -(0(),0()) -> 0()
   2: -(s(x1),0()) -> s(x1)
   3: -(x1,s(x2)) -> -(d(x1),x2)
   4: d(s(x1)) -> x1
   6: -(d(x1),x2) -> -(x1,s(x2))

--- S
   1: -(0(),0()) -> 0()
   2: -(s(x1),0()) -> s(x1)
   3: -(x1,s(x2)) -> -(d(x1),x2)
   4: d(s(x1)) -> x1
   6: -(d(x1),x2) -> -(x1,s(x2))


NOTE: input TRS is reduced

original is
   1: -(0(),0()) -> 0()
   2: -(s(x1),0()) -> s(x1)
   3: -(x1,s(x2)) -> -(d(x1),x2)
   4: d(s(x1)) -> x1
   5: -(s(x1),s(x2)) -> -(x1,x2)
   6: -(d(x1),x2) -> -(x1,s(x2))

reduced to
   1: -(0(),0()) -> 0()
   2: -(s(x1),0()) -> s(x1)
   3: -(x1,s(x2)) -> -(d(x1),x2)
   4: d(s(x1)) -> x1
   6: -(d(x1),x2) -> -(x1,s(x2))