MAYBE

Problem:
 lt(0(),s(x)) -> true()
 lt(x,0()) -> false()
 lt(s(x),s(y)) -> lt(x,y)
 minus(x,y) -> help(lt(y,x),x,y)
 help(true(),x,y) -> s(minus(x,s(y)))
 help(false(),x,y) -> 0()

Proof:
 DP Processor:
  DPs:
   lt#(s(x),s(y)) -> lt#(x,y)
   minus#(x,y) -> lt#(y,x)
   minus#(x,y) -> help#(lt(y,x),x,y)
   help#(true(),x,y) -> minus#(x,s(y))
  TRS:
   lt(0(),s(x)) -> true()
   lt(x,0()) -> false()
   lt(s(x),s(y)) -> lt(x,y)
   minus(x,y) -> help(lt(y,x),x,y)
   help(true(),x,y) -> s(minus(x,s(y)))
   help(false(),x,y) -> 0()
  Open