MAYBE

Problem:
 minus(X,0()) -> X
 minus(s(X),s(Y)) -> p(minus(X,Y))
 p(s(X)) -> X
 div(0(),s(Y)) -> 0()
 div(s(X),s(Y)) -> s(div(minus(X,Y),s(Y)))

Proof:
 DP Processor:
  DPs:
   minus#(s(X),s(Y)) -> minus#(X,Y)
   minus#(s(X),s(Y)) -> p#(minus(X,Y))
   div#(s(X),s(Y)) -> minus#(X,Y)
   div#(s(X),s(Y)) -> div#(minus(X,Y),s(Y))
  TRS:
   minus(X,0()) -> X
   minus(s(X),s(Y)) -> p(minus(X,Y))
   p(s(X)) -> X
   div(0(),s(Y)) -> 0()
   div(s(X),s(Y)) -> s(div(minus(X,Y),s(Y)))
  Usable Rule Processor:
   DPs:
    minus#(s(X),s(Y)) -> minus#(X,Y)
    minus#(s(X),s(Y)) -> p#(minus(X,Y))
    div#(s(X),s(Y)) -> minus#(X,Y)
    div#(s(X),s(Y)) -> div#(minus(X,Y),s(Y))
   TRS:
    f8(x,y) -> x
    f8(x,y) -> y
    minus(X,0()) -> X
    minus(s(X),s(Y)) -> p(minus(X,Y))
    p(s(X)) -> X
   CDG Processor:
    DPs:
     minus#(s(X),s(Y)) -> minus#(X,Y)
     minus#(s(X),s(Y)) -> p#(minus(X,Y))
     div#(s(X),s(Y)) -> minus#(X,Y)
     div#(s(X),s(Y)) -> div#(minus(X,Y),s(Y))
    TRS:
     f8(x,y) -> x
     f8(x,y) -> y
     minus(X,0()) -> X
     minus(s(X),s(Y)) -> p(minus(X,Y))
     p(s(X)) -> X
    graph:
     div#(s(X),s(Y)) -> div#(minus(X,Y),s(Y)) ->
     div#(s(X),s(Y)) -> minus#(X,Y)
     div#(s(X),s(Y)) -> div#(minus(X,Y),s(Y)) ->
     div#(s(X),s(Y)) -> div#(minus(X,Y),s(Y))
     div#(s(X),s(Y)) -> minus#(X,Y) ->
     minus#(s(X),s(Y)) -> minus#(X,Y)
     div#(s(X),s(Y)) -> minus#(X,Y) ->
     minus#(s(X),s(Y)) -> p#(minus(X,Y))
     minus#(s(X),s(Y)) -> minus#(X,Y) ->
     minus#(s(X),s(Y)) -> minus#(X,Y)
     minus#(s(X),s(Y)) -> minus#(X,Y) -> minus#(s(X),s(Y)) -> p#(minus(X,Y))
    Restore Modifier:
     DPs:
      minus#(s(X),s(Y)) -> minus#(X,Y)
      minus#(s(X),s(Y)) -> p#(minus(X,Y))
      div#(s(X),s(Y)) -> minus#(X,Y)
      div#(s(X),s(Y)) -> div#(minus(X,Y),s(Y))
     TRS:
      minus(X,0()) -> X
      minus(s(X),s(Y)) -> p(minus(X,Y))
      p(s(X)) -> X
      div(0(),s(Y)) -> 0()
      div(s(X),s(Y)) -> s(div(minus(X,Y),s(Y)))
     SCC Processor:
      #sccs: 2
      #rules: 2
      #arcs: 6/16
      DPs:
       div#(s(X),s(Y)) -> div#(minus(X,Y),s(Y))
      TRS:
       minus(X,0()) -> X
       minus(s(X),s(Y)) -> p(minus(X,Y))
       p(s(X)) -> X
       div(0(),s(Y)) -> 0()
       div(s(X),s(Y)) -> s(div(minus(X,Y),s(Y)))
      Open
      
      DPs:
       minus#(s(X),s(Y)) -> minus#(X,Y)
      TRS:
       minus(X,0()) -> X
       minus(s(X),s(Y)) -> p(minus(X,Y))
       p(s(X)) -> X
       div(0(),s(Y)) -> 0()
       div(s(X),s(Y)) -> s(div(minus(X,Y),s(Y)))
      Open