MAYBE

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

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