MAYBE

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

Strict Trs:
  { a__terms(N) -> cons(recip(a__sqr(mark(N))), terms(s(N)))
  , a__terms(X) -> terms(X)
  , a__sqr(X) -> sqr(X)
  , a__sqr(s(X)) -> s(a__add(a__sqr(mark(X)), a__dbl(mark(X))))
  , a__sqr(0()) -> 0()
  , mark(cons(X1, X2)) -> cons(mark(X1), X2)
  , mark(recip(X)) -> recip(mark(X))
  , mark(terms(X)) -> a__terms(mark(X))
  , mark(s(X)) -> s(mark(X))
  , mark(0()) -> 0()
  , mark(nil()) -> nil()
  , mark(first(X1, X2)) -> a__first(mark(X1), mark(X2))
  , mark(dbl(X)) -> a__dbl(mark(X))
  , mark(sqr(X)) -> a__sqr(mark(X))
  , mark(add(X1, X2)) -> a__add(mark(X1), mark(X2))
  , mark(half(X)) -> a__half(mark(X))
  , a__add(X1, X2) -> add(X1, X2)
  , a__add(s(X), Y) -> s(a__add(mark(X), mark(Y)))
  , a__add(0(), X) -> mark(X)
  , a__dbl(X) -> dbl(X)
  , a__dbl(s(X)) -> s(s(a__dbl(mark(X))))
  , a__dbl(0()) -> 0()
  , a__first(X1, X2) -> first(X1, X2)
  , a__first(s(X), cons(Y, Z)) -> cons(mark(Y), first(X, Z))
  , a__first(0(), X) -> nil()
  , a__half(X) -> half(X)
  , a__half(s(s(X))) -> s(a__half(mark(X)))
  , a__half(s(0())) -> 0()
  , a__half(0()) -> 0()
  , a__half(dbl(X)) -> mark(X) }
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 perSymbol-enrichment and initial automaton 'match''
            failed due to the following reason:
            
            match-boundness of the problem could not be verified.
         
         2) 'Bounds with minimal-enrichment and initial automaton 'match''
            failed due to the following reason:
            
            match-boundness of the problem could not be verified.
         
      
   


Arrrr..