MAYBE

Problem:
 half(0()) -> 0()
 half(s(0())) -> 0()
 half(s(s(x))) -> s(half(x))
 lastbit(0()) -> 0()
 lastbit(s(0())) -> s(0())
 lastbit(s(s(x))) -> lastbit(x)
 conv(0()) -> cons(nil(),0())
 conv(s(x)) -> cons(conv(half(s(x))),lastbit(s(x)))

Proof:
 DP Processor:
  DPs:
   half#(s(s(x))) -> half#(x)
   lastbit#(s(s(x))) -> lastbit#(x)
   conv#(s(x)) -> lastbit#(s(x))
   conv#(s(x)) -> half#(s(x))
   conv#(s(x)) -> conv#(half(s(x)))
  TRS:
   half(0()) -> 0()
   half(s(0())) -> 0()
   half(s(s(x))) -> s(half(x))
   lastbit(0()) -> 0()
   lastbit(s(0())) -> s(0())
   lastbit(s(s(x))) -> lastbit(x)
   conv(0()) -> cons(nil(),0())
   conv(s(x)) -> cons(conv(half(s(x))),lastbit(s(x)))
  ADG Processor:
   DPs:
    half#(s(s(x))) -> half#(x)
    lastbit#(s(s(x))) -> lastbit#(x)
    conv#(s(x)) -> lastbit#(s(x))
    conv#(s(x)) -> half#(s(x))
    conv#(s(x)) -> conv#(half(s(x)))
   TRS:
    half(0()) -> 0()
    half(s(0())) -> 0()
    half(s(s(x))) -> s(half(x))
    lastbit(0()) -> 0()
    lastbit(s(0())) -> s(0())
    lastbit(s(s(x))) -> lastbit(x)
    conv(0()) -> cons(nil(),0())
    conv(s(x)) -> cons(conv(half(s(x))),lastbit(s(x)))
   graph:
    conv#(s(x)) -> conv#(half(s(x))) ->
    conv#(s(x)) -> lastbit#(s(x))
    conv#(s(x)) -> conv#(half(s(x))) -> conv#(s(x)) -> half#(s(x))
    conv#(s(x)) -> conv#(half(s(x))) ->
    conv#(s(x)) -> conv#(half(s(x)))
    conv#(s(x)) -> lastbit#(s(x)) -> lastbit#(s(s(x))) -> lastbit#(x)
    conv#(s(x)) -> half#(s(x)) -> half#(s(s(x))) -> half#(x)
    lastbit#(s(s(x))) -> lastbit#(x) -> lastbit#(s(s(x))) -> lastbit#(x)
    half#(s(s(x))) -> half#(x) -> half#(s(s(x))) -> half#(x)
   SCC Processor:
    #sccs: 3
    #rules: 3
    #arcs: 7/25
    DPs:
     conv#(s(x)) -> conv#(half(s(x)))
    TRS:
     half(0()) -> 0()
     half(s(0())) -> 0()
     half(s(s(x))) -> s(half(x))
     lastbit(0()) -> 0()
     lastbit(s(0())) -> s(0())
     lastbit(s(s(x))) -> lastbit(x)
     conv(0()) -> cons(nil(),0())
     conv(s(x)) -> cons(conv(half(s(x))),lastbit(s(x)))
    Open
    
    DPs:
     lastbit#(s(s(x))) -> lastbit#(x)
    TRS:
     half(0()) -> 0()
     half(s(0())) -> 0()
     half(s(s(x))) -> s(half(x))
     lastbit(0()) -> 0()
     lastbit(s(0())) -> s(0())
     lastbit(s(s(x))) -> lastbit(x)
     conv(0()) -> cons(nil(),0())
     conv(s(x)) -> cons(conv(half(s(x))),lastbit(s(x)))
    Open
    
    DPs:
     half#(s(s(x))) -> half#(x)
    TRS:
     half(0()) -> 0()
     half(s(0())) -> 0()
     half(s(s(x))) -> s(half(x))
     lastbit(0()) -> 0()
     lastbit(s(0())) -> s(0())
     lastbit(s(s(x))) -> lastbit(x)
     conv(0()) -> cons(nil(),0())
     conv(s(x)) -> cons(conv(half(s(x))),lastbit(s(x)))
    Open