MAYBE

Problem:
 f(x,0()) -> s(0())
 f(s(x),s(y)) -> s(f(x,y))
 g(0(),x) -> g(f(x,x),x)

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