MAYBE

Problem:
 +(0(),y) -> y
 +(s(x),0()) -> s(x)
 +(s(x),s(y)) -> s(+(s(x),+(y,0())))

Proof:
 DP Processor:
  DPs:
   +#(s(x),s(y)) -> +#(y,0())
   +#(s(x),s(y)) -> +#(s(x),+(y,0()))
  TRS:
   +(0(),y) -> y
   +(s(x),0()) -> s(x)
   +(s(x),s(y)) -> s(+(s(x),+(y,0())))
  Usable Rule Processor:
   DPs:
    +#(s(x),s(y)) -> +#(y,0())
    +#(s(x),s(y)) -> +#(s(x),+(y,0()))
   TRS:
    +(0(),y) -> y
    +(s(x),0()) -> s(x)
   CDG Processor:
    DPs:
     +#(s(x),s(y)) -> +#(y,0())
     +#(s(x),s(y)) -> +#(s(x),+(y,0()))
    TRS:
     +(0(),y) -> y
     +(s(x),0()) -> s(x)
    graph:
     +#(s(x),s(y)) -> +#(s(x),+(y,0())) ->
     +#(s(x),s(y)) -> +#(y,0())
     +#(s(x),s(y)) -> +#(s(x),+(y,0())) -> +#(s(x),s(y)) -> +#(s(x),+(y,0()))
    Restore Modifier:
     DPs:
      +#(s(x),s(y)) -> +#(y,0())
      +#(s(x),s(y)) -> +#(s(x),+(y,0()))
     TRS:
      +(0(),y) -> y
      +(s(x),0()) -> s(x)
      +(s(x),s(y)) -> s(+(s(x),+(y,0())))
     SCC Processor:
      #sccs: 1
      #rules: 1
      #arcs: 2/4
      DPs:
       +#(s(x),s(y)) -> +#(s(x),+(y,0()))
      TRS:
       +(0(),y) -> y
       +(s(x),0()) -> s(x)
       +(s(x),s(y)) -> s(+(s(x),+(y,0())))
      Open