MAYBE

Problem:
 active(g(X)) -> mark(h(X))
 active(c()) -> mark(d())
 active(h(d())) -> mark(g(c()))
 proper(g(X)) -> g(proper(X))
 proper(h(X)) -> h(proper(X))
 proper(c()) -> ok(c())
 proper(d()) -> ok(d())
 g(ok(X)) -> ok(g(X))
 h(ok(X)) -> ok(h(X))
 top(mark(X)) -> top(proper(X))
 top(ok(X)) -> top(active(X))

Proof:
 DP Processor:
  DPs:
   active#(g(X)) -> h#(X)
   active#(h(d())) -> g#(c())
   proper#(g(X)) -> proper#(X)
   proper#(g(X)) -> g#(proper(X))
   proper#(h(X)) -> proper#(X)
   proper#(h(X)) -> h#(proper(X))
   g#(ok(X)) -> g#(X)
   h#(ok(X)) -> h#(X)
   top#(mark(X)) -> proper#(X)
   top#(mark(X)) -> top#(proper(X))
   top#(ok(X)) -> active#(X)
   top#(ok(X)) -> top#(active(X))
  TRS:
   active(g(X)) -> mark(h(X))
   active(c()) -> mark(d())
   active(h(d())) -> mark(g(c()))
   proper(g(X)) -> g(proper(X))
   proper(h(X)) -> h(proper(X))
   proper(c()) -> ok(c())
   proper(d()) -> ok(d())
   g(ok(X)) -> ok(g(X))
   h(ok(X)) -> ok(h(X))
   top(mark(X)) -> top(proper(X))
   top(ok(X)) -> top(active(X))
  ADG Processor:
   DPs:
    active#(g(X)) -> h#(X)
    active#(h(d())) -> g#(c())
    proper#(g(X)) -> proper#(X)
    proper#(g(X)) -> g#(proper(X))
    proper#(h(X)) -> proper#(X)
    proper#(h(X)) -> h#(proper(X))
    g#(ok(X)) -> g#(X)
    h#(ok(X)) -> h#(X)
    top#(mark(X)) -> proper#(X)
    top#(mark(X)) -> top#(proper(X))
    top#(ok(X)) -> active#(X)
    top#(ok(X)) -> top#(active(X))
   TRS:
    active(g(X)) -> mark(h(X))
    active(c()) -> mark(d())
    active(h(d())) -> mark(g(c()))
    proper(g(X)) -> g(proper(X))
    proper(h(X)) -> h(proper(X))
    proper(c()) -> ok(c())
    proper(d()) -> ok(d())
    g(ok(X)) -> ok(g(X))
    h(ok(X)) -> ok(h(X))
    top(mark(X)) -> top(proper(X))
    top(ok(X)) -> top(active(X))
   graph:
    top#(ok(X)) -> top#(active(X)) -> top#(mark(X)) -> proper#(X)
    top#(ok(X)) -> top#(active(X)) ->
    top#(mark(X)) -> top#(proper(X))
    top#(ok(X)) -> top#(active(X)) -> top#(ok(X)) -> active#(X)
    top#(ok(X)) -> top#(active(X)) -> top#(ok(X)) -> top#(active(X))
    top#(ok(X)) -> active#(X) -> active#(g(X)) -> h#(X)
    top#(ok(X)) -> active#(X) -> active#(h(d())) -> g#(c())
    top#(mark(X)) -> top#(proper(X)) -> top#(mark(X)) -> proper#(X)
    top#(mark(X)) -> top#(proper(X)) ->
    top#(mark(X)) -> top#(proper(X))
    top#(mark(X)) -> top#(proper(X)) -> top#(ok(X)) -> active#(X)
    top#(mark(X)) -> top#(proper(X)) -> top#(ok(X)) -> top#(active(X))
    top#(mark(X)) -> proper#(X) -> proper#(g(X)) -> proper#(X)
    top#(mark(X)) -> proper#(X) -> proper#(g(X)) -> g#(proper(X))
    top#(mark(X)) -> proper#(X) -> proper#(h(X)) -> proper#(X)
    top#(mark(X)) -> proper#(X) -> proper#(h(X)) -> h#(proper(X))
    proper#(h(X)) -> proper#(X) -> proper#(g(X)) -> proper#(X)
    proper#(h(X)) -> proper#(X) -> proper#(g(X)) -> g#(proper(X))
    proper#(h(X)) -> proper#(X) -> proper#(h(X)) -> proper#(X)
    proper#(h(X)) -> proper#(X) -> proper#(h(X)) -> h#(proper(X))
    proper#(h(X)) -> h#(proper(X)) -> h#(ok(X)) -> h#(X)
    proper#(g(X)) -> proper#(X) -> proper#(g(X)) -> proper#(X)
    proper#(g(X)) -> proper#(X) -> proper#(g(X)) -> g#(proper(X))
    proper#(g(X)) -> proper#(X) -> proper#(h(X)) -> proper#(X)
    proper#(g(X)) -> proper#(X) -> proper#(h(X)) -> h#(proper(X))
    proper#(g(X)) -> g#(proper(X)) -> g#(ok(X)) -> g#(X)
    g#(ok(X)) -> g#(X) -> g#(ok(X)) -> g#(X)
    h#(ok(X)) -> h#(X) -> h#(ok(X)) -> h#(X)
    active#(g(X)) -> h#(X) -> h#(ok(X)) -> h#(X)
   SCC Processor:
    #sccs: 4
    #rules: 6
    #arcs: 27/144
    DPs:
     top#(ok(X)) -> top#(active(X))
     top#(mark(X)) -> top#(proper(X))
    TRS:
     active(g(X)) -> mark(h(X))
     active(c()) -> mark(d())
     active(h(d())) -> mark(g(c()))
     proper(g(X)) -> g(proper(X))
     proper(h(X)) -> h(proper(X))
     proper(c()) -> ok(c())
     proper(d()) -> ok(d())
     g(ok(X)) -> ok(g(X))
     h(ok(X)) -> ok(h(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     proper#(h(X)) -> proper#(X)
     proper#(g(X)) -> proper#(X)
    TRS:
     active(g(X)) -> mark(h(X))
     active(c()) -> mark(d())
     active(h(d())) -> mark(g(c()))
     proper(g(X)) -> g(proper(X))
     proper(h(X)) -> h(proper(X))
     proper(c()) -> ok(c())
     proper(d()) -> ok(d())
     g(ok(X)) -> ok(g(X))
     h(ok(X)) -> ok(h(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     g#(ok(X)) -> g#(X)
    TRS:
     active(g(X)) -> mark(h(X))
     active(c()) -> mark(d())
     active(h(d())) -> mark(g(c()))
     proper(g(X)) -> g(proper(X))
     proper(h(X)) -> h(proper(X))
     proper(c()) -> ok(c())
     proper(d()) -> ok(d())
     g(ok(X)) -> ok(g(X))
     h(ok(X)) -> ok(h(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open
    
    DPs:
     h#(ok(X)) -> h#(X)
    TRS:
     active(g(X)) -> mark(h(X))
     active(c()) -> mark(d())
     active(h(d())) -> mark(g(c()))
     proper(g(X)) -> g(proper(X))
     proper(h(X)) -> h(proper(X))
     proper(c()) -> ok(c())
     proper(d()) -> ok(d())
     g(ok(X)) -> ok(g(X))
     h(ok(X)) -> ok(h(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    Open