MAYBE

Problem:
 half(0()) -> 0()
 half(s(0())) -> 0()
 half(s(s(x))) -> s(half(x))
 s(log(0())) -> s(0())
 log(s(x)) -> s(log(half(s(x))))

Proof:
 DP Processor:
  DPs:
   half#(s(s(x))) -> half#(x)
   half#(s(s(x))) -> s#(half(x))
   s#(log(0())) -> s#(0())
   log#(s(x)) -> half#(s(x))
   log#(s(x)) -> log#(half(s(x)))
   log#(s(x)) -> s#(log(half(s(x))))
  TRS:
   half(0()) -> 0()
   half(s(0())) -> 0()
   half(s(s(x))) -> s(half(x))
   s(log(0())) -> s(0())
   log(s(x)) -> s(log(half(s(x))))
  CDG Processor:
   DPs:
    half#(s(s(x))) -> half#(x)
    half#(s(s(x))) -> s#(half(x))
    s#(log(0())) -> s#(0())
    log#(s(x)) -> half#(s(x))
    log#(s(x)) -> log#(half(s(x)))
    log#(s(x)) -> s#(log(half(s(x))))
   TRS:
    half(0()) -> 0()
    half(s(0())) -> 0()
    half(s(s(x))) -> s(half(x))
    s(log(0())) -> s(0())
    log(s(x)) -> s(log(half(s(x))))
   graph:
    log#(s(x)) -> log#(half(s(x))) -> log#(s(x)) -> half#(s(x))
    log#(s(x)) -> log#(half(s(x))) -> log#(s(x)) -> log#(half(s(x)))
    log#(s(x)) -> log#(half(s(x))) ->
    log#(s(x)) -> s#(log(half(s(x))))
    log#(s(x)) -> s#(log(half(s(x)))) -> s#(log(0())) -> s#(0())
   SCC Processor:
    #sccs: 1
    #rules: 1
    #arcs: 4/36
    DPs:
     log#(s(x)) -> log#(half(s(x)))
    TRS:
     half(0()) -> 0()
     half(s(0())) -> 0()
     half(s(s(x))) -> s(half(x))
     s(log(0())) -> s(0())
     log(s(x)) -> s(log(half(s(x))))
    Open