MAYBE

Problem:
 f(0(),1(),g(x,y),z) -> f(g(x,y),g(x,y),g(x,y),h(x))
 g(0(),1()) -> 0()
 g(0(),1()) -> 1()
 h(g(x,y)) -> h(x)

Proof:
 DP Processor:
  DPs:
   f#(0(),1(),g(x,y),z) -> h#(x)
   f#(0(),1(),g(x,y),z) -> f#(g(x,y),g(x,y),g(x,y),h(x))
   h#(g(x,y)) -> h#(x)
  TRS:
   f(0(),1(),g(x,y),z) -> f(g(x,y),g(x,y),g(x,y),h(x))
   g(0(),1()) -> 0()
   g(0(),1()) -> 1()
   h(g(x,y)) -> h(x)
  CDG Processor:
   DPs:
    f#(0(),1(),g(x,y),z) -> h#(x)
    f#(0(),1(),g(x,y),z) -> f#(g(x,y),g(x,y),g(x,y),h(x))
    h#(g(x,y)) -> h#(x)
   TRS:
    f(0(),1(),g(x,y),z) -> f(g(x,y),g(x,y),g(x,y),h(x))
    g(0(),1()) -> 0()
    g(0(),1()) -> 1()
    h(g(x,y)) -> h(x)
   graph:
    h#(g(x,y)) -> h#(x) -> h#(g(x,y)) -> h#(x)
    f#(0(),1(),g(x,y),z) -> h#(x) ->
    h#(g(x,y)) -> h#(x)
    f#(0(),1(),g(x,y),z) -> f#(g(x,y),g(x,y),g(x,y),h(x)) ->
    f#(0(),1(),g(x,y),z) -> h#(x)
    f#(0(),1(),g(x,y),z) -> f#(g(x,y),g(x,y),g(x,y),h(x)) ->
    f#(0(),1(),g(x,y),z) -> f#(g(x,y),g(x,y),g(x,y),h(x))
   SCC Processor:
    #sccs: 2
    #rules: 2
    #arcs: 4/9
    DPs:
     f#(0(),1(),g(x,y),z) -> f#(g(x,y),g(x,y),g(x,y),h(x))
    TRS:
     f(0(),1(),g(x,y),z) -> f(g(x,y),g(x,y),g(x,y),h(x))
     g(0(),1()) -> 0()
     g(0(),1()) -> 1()
     h(g(x,y)) -> h(x)
    Open
    
    DPs:
     h#(g(x,y)) -> h#(x)
    TRS:
     f(0(),1(),g(x,y),z) -> f(g(x,y),g(x,y),g(x,y),h(x))
     g(0(),1()) -> 0()
     g(0(),1()) -> 1()
     h(g(x,y)) -> h(x)
    Open