MAYBE
* Step 1: Failure MAYBE
  + Considered Problem:
      - Strict TRS:
          ack(0(),x) -> plus(x,s(0()))
          ack(0(),x) -> s(x)
          ack(s(x),0()) -> ack(x,s(0()))
          ack(s(x),s(y)) -> ack(x,ack(s(x),y))
          div(x,y) -> quot(x,y,0())
          minus(x,0()) -> x
          minus(0(),y) -> 0()
          minus(minus(x,y),z) -> minus(x,plus(y,z))
          minus(s(x),s(y)) -> minus(x,y)
          p(0()) -> 0()
          p(s(x)) -> x
          plus(0(),y) -> y
          plus(s(x),y) -> plus(x,s(y))
          plus(s(x),y) -> s(plus(y,x))
          quot(0(),s(y),z) -> z
          quot(s(x),s(y),z) -> quot(minus(p(ack(0(),x)),y),s(y),s(z))
          zero(0()) -> true()
          zero(s(x)) -> false()
      - Signature:
          {ack/2,div/2,minus/2,p/1,plus/2,quot/3,zero/1} / {0/0,false/0,s/1,true/0}
      - Obligation:
          innermost runtime complexity wrt. defined symbols {ack,div,minus,p,plus,quot,zero} and constructors {0,false
          ,s,true}
  + Applied Processor:
      EmptyProcessor
  + Details:
      The problem is still open.
MAYBE