MAYBE

Problem:
 minus(x,x) -> 0()
 minus(s(x),s(y)) -> minus(x,y)
 minus(0(),x) -> 0()
 minus(x,0()) -> x
 div(s(x),s(y)) -> s(div(minus(x,y),s(y)))
 div(0(),s(y)) -> 0()
 f(x,0(),b) -> x
 f(x,s(y),b) -> div(f(x,minus(s(y),s(0())),b),b)

Proof:
 DP Processor:
  DPs:
   minus#(s(x),s(y)) -> minus#(x,y)
   div#(s(x),s(y)) -> minus#(x,y)
   div#(s(x),s(y)) -> div#(minus(x,y),s(y))
   f#(x,s(y),b) -> minus#(s(y),s(0()))
   f#(x,s(y),b) -> f#(x,minus(s(y),s(0())),b)
   f#(x,s(y),b) -> div#(f(x,minus(s(y),s(0())),b),b)
  TRS:
   minus(x,x) -> 0()
   minus(s(x),s(y)) -> minus(x,y)
   minus(0(),x) -> 0()
   minus(x,0()) -> x
   div(s(x),s(y)) -> s(div(minus(x,y),s(y)))
   div(0(),s(y)) -> 0()
   f(x,0(),b) -> x
   f(x,s(y),b) -> div(f(x,minus(s(y),s(0())),b),b)
  Open