MAYBE

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

Proof:
 DP Processor:
  DPs:
   f#(0(),1(),x) -> f#(s(x),x,x)
   f#(x,y,s(z)) -> f#(0(),1(),z)
  TRS:
   g(x,y) -> x
   g(x,y) -> y
   f(0(),1(),x) -> f(s(x),x,x)
   f(x,y,s(z)) -> s(f(0(),1(),z))
  ADG Processor:
   DPs:
    f#(0(),1(),x) -> f#(s(x),x,x)
    f#(x,y,s(z)) -> f#(0(),1(),z)
   TRS:
    g(x,y) -> x
    g(x,y) -> y
    f(0(),1(),x) -> f(s(x),x,x)
    f(x,y,s(z)) -> s(f(0(),1(),z))
   graph:
    f#(0(),1(),x) -> f#(s(x),x,x) -> f#(x,y,s(z)) -> f#(0(),1(),z)
    f#(x,y,s(z)) -> f#(0(),1(),z) -> f#(0(),1(),x) -> f#(s(x),x,x)
    f#(x,y,s(z)) -> f#(0(),1(),z) -> f#(x,y,s(z)) -> f#(0(),1(),z)
   SCC Processor:
    #sccs: 1
    #rules: 2
    #arcs: 3/4
    DPs:
     f#(0(),1(),x) -> f#(s(x),x,x)
     f#(x,y,s(z)) -> f#(0(),1(),z)
    TRS:
     g(x,y) -> x
     g(x,y) -> y
     f(0(),1(),x) -> f(s(x),x,x)
     f(x,y,s(z)) -> s(f(0(),1(),z))
    Open