MAYBE

Problem:
 f(g(a())) -> f(s(g(b())))
 f(f(x)) -> b()
 g(x) -> f(g(x))

Proof:
 DP Processor:
  DPs:
   f#(g(a())) -> g#(b())
   f#(g(a())) -> f#(s(g(b())))
   g#(x) -> g#(x)
   g#(x) -> f#(g(x))
  TRS:
   f(g(a())) -> f(s(g(b())))
   f(f(x)) -> b()
   g(x) -> f(g(x))
  EDG Processor:
   DPs:
    f#(g(a())) -> g#(b())
    f#(g(a())) -> f#(s(g(b())))
    g#(x) -> g#(x)
    g#(x) -> f#(g(x))
   TRS:
    f(g(a())) -> f(s(g(b())))
    f(f(x)) -> b()
    g(x) -> f(g(x))
   graph:
    g#(x) -> g#(x) -> g#(x) -> g#(x)
    g#(x) -> g#(x) -> g#(x) -> f#(g(x))
    g#(x) -> f#(g(x)) -> f#(g(a())) -> g#(b())
    g#(x) -> f#(g(x)) -> f#(g(a())) -> f#(s(g(b())))
    f#(g(a())) -> g#(b()) -> g#(x) -> g#(x)
    f#(g(a())) -> g#(b()) -> g#(x) -> f#(g(x))
   Restore Modifier:
    DPs:
     f#(g(a())) -> g#(b())
     f#(g(a())) -> f#(s(g(b())))
     g#(x) -> g#(x)
     g#(x) -> f#(g(x))
    TRS:
     f(g(a())) -> f(s(g(b())))
     f(f(x)) -> b()
     g(x) -> f(g(x))
    SCC Processor:
     #sccs: 1
     #rules: 3
     #arcs: 6/16
     DPs:
      g#(x) -> g#(x)
      g#(x) -> f#(g(x))
      f#(g(a())) -> g#(b())
     TRS:
      f(g(a())) -> f(s(g(b())))
      f(f(x)) -> b()
      g(x) -> f(g(x))
     Open