MAYBE

Problem:
 c(c(c(a(x,y)))) -> b(c(c(c(c(y)))),x)
 c(c(b(c(y),0()))) -> a(0(),c(c(a(y,0()))))
 c(c(a(a(y,0()),x))) -> c(y)

Proof:
 DP Processor:
  DPs:
   c#(c(c(a(x,y)))) -> c#(y)
   c#(c(c(a(x,y)))) -> c#(c(y))
   c#(c(c(a(x,y)))) -> c#(c(c(y)))
   c#(c(c(a(x,y)))) -> c#(c(c(c(y))))
   c#(c(b(c(y),0()))) -> c#(a(y,0()))
   c#(c(b(c(y),0()))) -> c#(c(a(y,0())))
   c#(c(a(a(y,0()),x))) -> c#(y)
  TRS:
   c(c(c(a(x,y)))) -> b(c(c(c(c(y)))),x)
   c(c(b(c(y),0()))) -> a(0(),c(c(a(y,0()))))
   c(c(a(a(y,0()),x))) -> c(y)
  CDG Processor:
   DPs:
    c#(c(c(a(x,y)))) -> c#(y)
    c#(c(c(a(x,y)))) -> c#(c(y))
    c#(c(c(a(x,y)))) -> c#(c(c(y)))
    c#(c(c(a(x,y)))) -> c#(c(c(c(y))))
    c#(c(b(c(y),0()))) -> c#(a(y,0()))
    c#(c(b(c(y),0()))) -> c#(c(a(y,0())))
    c#(c(a(a(y,0()),x))) -> c#(y)
   TRS:
    c(c(c(a(x,y)))) -> b(c(c(c(c(y)))),x)
    c(c(b(c(y),0()))) -> a(0(),c(c(a(y,0()))))
    c(c(a(a(y,0()),x))) -> c(y)
   graph:
    c#(c(b(c(y),0()))) -> c#(c(a(y,0()))) ->
    c#(c(c(a(x,y)))) -> c#(y)
    c#(c(b(c(y),0()))) -> c#(c(a(y,0()))) ->
    c#(c(c(a(x,y)))) -> c#(c(y))
    c#(c(b(c(y),0()))) -> c#(c(a(y,0()))) ->
    c#(c(c(a(x,y)))) -> c#(c(c(y)))
    c#(c(b(c(y),0()))) -> c#(c(a(y,0()))) ->
    c#(c(c(a(x,y)))) -> c#(c(c(c(y))))
    c#(c(b(c(y),0()))) -> c#(c(a(y,0()))) ->
    c#(c(b(c(y),0()))) -> c#(a(y,0()))
    c#(c(b(c(y),0()))) -> c#(c(a(y,0()))) ->
    c#(c(b(c(y),0()))) -> c#(c(a(y,0())))
    c#(c(b(c(y),0()))) -> c#(c(a(y,0()))) ->
    c#(c(a(a(y,0()),x))) -> c#(y)
    c#(c(c(a(x,y)))) -> c#(c(c(c(y)))) ->
    c#(c(c(a(x,y)))) -> c#(y)
    c#(c(c(a(x,y)))) -> c#(c(c(c(y)))) ->
    c#(c(c(a(x,y)))) -> c#(c(y))
    c#(c(c(a(x,y)))) -> c#(c(c(c(y)))) ->
    c#(c(c(a(x,y)))) -> c#(c(c(y)))
    c#(c(c(a(x,y)))) -> c#(c(c(c(y)))) ->
    c#(c(c(a(x,y)))) -> c#(c(c(c(y))))
    c#(c(c(a(x,y)))) -> c#(c(c(c(y)))) ->
    c#(c(b(c(y),0()))) -> c#(a(y,0()))
    c#(c(c(a(x,y)))) -> c#(c(c(c(y)))) ->
    c#(c(b(c(y),0()))) -> c#(c(a(y,0())))
    c#(c(c(a(x,y)))) -> c#(c(c(c(y)))) ->
    c#(c(a(a(y,0()),x))) -> c#(y)
    c#(c(c(a(x,y)))) -> c#(c(c(y))) -> c#(c(c(a(x,y)))) -> c#(y)
    c#(c(c(a(x,y)))) -> c#(c(c(y))) -> c#(c(c(a(x,y)))) -> c#(c(y))
    c#(c(c(a(x,y)))) -> c#(c(c(y))) ->
    c#(c(c(a(x,y)))) -> c#(c(c(y)))
    c#(c(c(a(x,y)))) -> c#(c(c(y))) ->
    c#(c(c(a(x,y)))) -> c#(c(c(c(y))))
    c#(c(c(a(x,y)))) -> c#(c(c(y))) ->
    c#(c(b(c(y),0()))) -> c#(a(y,0()))
    c#(c(c(a(x,y)))) -> c#(c(c(y))) ->
    c#(c(b(c(y),0()))) -> c#(c(a(y,0())))
    c#(c(c(a(x,y)))) -> c#(c(c(y))) -> c#(c(a(a(y,0()),x))) -> c#(y)
    c#(c(c(a(x,y)))) -> c#(c(y)) -> c#(c(c(a(x,y)))) -> c#(y)
    c#(c(c(a(x,y)))) -> c#(c(y)) -> c#(c(c(a(x,y)))) -> c#(c(y))
    c#(c(c(a(x,y)))) -> c#(c(y)) -> c#(c(c(a(x,y)))) -> c#(c(c(y)))
    c#(c(c(a(x,y)))) -> c#(c(y)) -> c#(c(c(a(x,y)))) -> c#(c(c(c(y))))
    c#(c(c(a(x,y)))) -> c#(c(y)) -> c#(c(b(c(y),0()))) -> c#(a(y,0()))
    c#(c(c(a(x,y)))) -> c#(c(y)) ->
    c#(c(b(c(y),0()))) -> c#(c(a(y,0())))
    c#(c(c(a(x,y)))) -> c#(c(y)) -> c#(c(a(a(y,0()),x))) -> c#(y)
    c#(c(c(a(x,y)))) -> c#(y) -> c#(c(c(a(x,y)))) -> c#(y)
    c#(c(c(a(x,y)))) -> c#(y) -> c#(c(c(a(x,y)))) -> c#(c(y))
    c#(c(c(a(x,y)))) -> c#(y) -> c#(c(c(a(x,y)))) -> c#(c(c(y)))
    c#(c(c(a(x,y)))) -> c#(y) -> c#(c(c(a(x,y)))) -> c#(c(c(c(y))))
    c#(c(c(a(x,y)))) -> c#(y) -> c#(c(b(c(y),0()))) -> c#(a(y,0()))
    c#(c(c(a(x,y)))) -> c#(y) -> c#(c(b(c(y),0()))) -> c#(c(a(y,0())))
    c#(c(c(a(x,y)))) -> c#(y) -> c#(c(a(a(y,0()),x))) -> c#(y)
    c#(c(a(a(y,0()),x))) -> c#(y) -> c#(c(c(a(x,y)))) -> c#(y)
    c#(c(a(a(y,0()),x))) -> c#(y) -> c#(c(c(a(x,y)))) -> c#(c(y))
    c#(c(a(a(y,0()),x))) -> c#(y) -> c#(c(c(a(x,y)))) -> c#(c(c(y)))
    c#(c(a(a(y,0()),x))) -> c#(y) ->
    c#(c(c(a(x,y)))) -> c#(c(c(c(y))))
    c#(c(a(a(y,0()),x))) -> c#(y) ->
    c#(c(b(c(y),0()))) -> c#(a(y,0()))
    c#(c(a(a(y,0()),x))) -> c#(y) ->
    c#(c(b(c(y),0()))) -> c#(c(a(y,0())))
    c#(c(a(a(y,0()),x))) -> c#(y) -> c#(c(a(a(y,0()),x))) -> c#(y)
   SCC Processor:
    #sccs: 1
    #rules: 6
    #arcs: 42/49
    DPs:
     c#(c(b(c(y),0()))) -> c#(c(a(y,0())))
     c#(c(a(a(y,0()),x))) -> c#(y)
     c#(c(c(a(x,y)))) -> c#(c(c(c(y))))
     c#(c(c(a(x,y)))) -> c#(c(c(y)))
     c#(c(c(a(x,y)))) -> c#(c(y))
     c#(c(c(a(x,y)))) -> c#(y)
    TRS:
     c(c(c(a(x,y)))) -> b(c(c(c(c(y)))),x)
     c(c(b(c(y),0()))) -> a(0(),c(c(a(y,0()))))
     c(c(a(a(y,0()),x))) -> c(y)
    Open