MAYBE

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

Proof:
 DP Processor:
  DPs:
   half#(s(s(x))) -> half#(x)
   log#(s(s(x))) -> half#(x)
   log#(s(s(x))) -> log#(s(half(x)))
  TRS:
   half(0()) -> 0()
   half(s(s(x))) -> s(half(x))
   log(s(0())) -> 0()
   log(s(s(x))) -> s(log(s(half(x))))
  Usable Rule Processor:
   DPs:
    half#(s(s(x))) -> half#(x)
    log#(s(s(x))) -> half#(x)
    log#(s(s(x))) -> log#(s(half(x)))
   TRS:
    half(0()) -> 0()
    half(s(s(x))) -> s(half(x))
   CDG Processor:
    DPs:
     half#(s(s(x))) -> half#(x)
     log#(s(s(x))) -> half#(x)
     log#(s(s(x))) -> log#(s(half(x)))
    TRS:
     half(0()) -> 0()
     half(s(s(x))) -> s(half(x))
    graph:
     log#(s(s(x))) -> log#(s(half(x))) ->
     log#(s(s(x))) -> half#(x)
     log#(s(s(x))) -> log#(s(half(x))) -> log#(s(s(x))) -> log#(s(half(x)))
    Restore Modifier:
     DPs:
      half#(s(s(x))) -> half#(x)
      log#(s(s(x))) -> half#(x)
      log#(s(s(x))) -> log#(s(half(x)))
     TRS:
      half(0()) -> 0()
      half(s(s(x))) -> s(half(x))
      log(s(0())) -> 0()
      log(s(s(x))) -> s(log(s(half(x))))
     SCC Processor:
      #sccs: 1
      #rules: 1
      #arcs: 2/9
      DPs:
       log#(s(s(x))) -> log#(s(half(x)))
      TRS:
       half(0()) -> 0()
       half(s(s(x))) -> s(half(x))
       log(s(0())) -> 0()
       log(s(s(x))) -> s(log(s(half(x))))
      Open