MAYBE

We are left with following problem, upon which TcT provides the
certificate MAYBE.

Strict Trs:
  { isEmpty(cons(x, xs)) -> false()
  , isEmpty(nil()) -> true()
  , isZero(0()) -> true()
  , isZero(s(x)) -> false()
  , head(cons(x, xs)) -> x
  , tail(cons(x, xs)) -> xs
  , tail(nil()) -> nil()
  , p(0()) -> 0()
  , p(s(0())) -> 0()
  , p(s(s(x))) -> s(p(s(x)))
  , inc(0()) -> s(0())
  , inc(s(x)) -> s(inc(x))
  , sumList(xs, y) ->
    if(isEmpty(xs),
       isZero(head(xs)),
       y,
       tail(xs),
       cons(p(head(xs)), tail(xs)),
       inc(y))
  , if(false(), false(), y, xs, ys, x) -> sumList(ys, x)
  , if(false(), true(), y, xs, ys, x) -> sumList(xs, y)
  , if(true(), b, y, xs, ys, x) -> y
  , sum(xs) -> sumList(xs, 0()) }
Obligation:
  innermost runtime complexity
Answer:
  MAYBE

None of the processors succeeded.

Details of failed attempt(s):
-----------------------------
1) 'empty' failed due to the following reason:
   
   Empty strict component of the problem is NOT empty.

2) 'Best' failed due to the following reason:
   
   None of the processors succeeded.
   
   Details of failed attempt(s):
   -----------------------------
   1) 'WithProblem (timeout of 60 seconds)' failed due to the
      following reason:
      
      Computation stopped due to timeout after 60.0 seconds.
   
   2) 'Best' failed due to the following reason:
      
      None of the processors succeeded.
      
      Details of failed attempt(s):
      -----------------------------
      1) 'WithProblem (timeout of 30 seconds) (timeout of 60 seconds)'
         failed due to the following reason:
         
         Computation stopped due to timeout after 30.0 seconds.
      
      2) 'Best' failed due to the following reason:
         
         None of the processors succeeded.
         
         Details of failed attempt(s):
         -----------------------------
         1) 'bsearch-popstar (timeout of 60 seconds)' failed due to the
            following reason:
            
            The input cannot be shown compatible
         
         2) 'Polynomial Path Order (PS) (timeout of 60 seconds)' failed due
            to the following reason:
            
            The input cannot be shown compatible
         
      
      3) 'Fastest (timeout of 5 seconds) (timeout of 60 seconds)' failed
         due to the following reason:
         
         None of the processors succeeded.
         
         Details of failed attempt(s):
         -----------------------------
         1) 'Bounds with minimal-enrichment and initial automaton 'match''
            failed due to the following reason:
            
            match-boundness of the problem could not be verified.
         
         2) 'Bounds with perSymbol-enrichment and initial automaton 'match''
            failed due to the following reason:
            
            match-boundness of the problem could not be verified.
         
      
   


Arrrr..