MAYBE

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

Strict Trs:
  { a__sel(X1, X2) -> sel(X1, X2)
  , a__sel(s(X), cons(Y, Z)) -> a__sel(mark(X), mark(Z))
  , a__sel(0(), cons(X, Z)) -> mark(X)
  , mark(s(X)) -> s(mark(X))
  , mark(cons(X1, X2)) -> cons(mark(X1), X2)
  , mark(0()) -> 0()
  , mark(nil()) -> nil()
  , mark(first(X1, X2)) -> a__first(mark(X1), mark(X2))
  , mark(from(X)) -> a__from(mark(X))
  , mark(nil1()) -> nil1()
  , mark(cons1(X1, X2)) -> cons1(mark(X1), mark(X2))
  , mark(01()) -> 01()
  , mark(s1(X)) -> s1(mark(X))
  , mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2))
  , mark(sel1(X1, X2)) -> a__sel1(mark(X1), mark(X2))
  , mark(quote(X)) -> a__quote(X)
  , mark(first1(X1, X2)) -> a__first1(mark(X1), mark(X2))
  , mark(quote1(X)) -> a__quote1(X)
  , mark(unquote(X)) -> a__unquote(mark(X))
  , mark(unquote1(X)) -> a__unquote1(mark(X))
  , mark(fcons(X1, X2)) -> a__fcons(mark(X1), mark(X2))
  , a__first(X1, X2) -> first(X1, X2)
  , a__first(s(X), cons(Y, Z)) -> cons(mark(Y), first(X, Z))
  , a__first(0(), Z) -> nil()
  , a__from(X) -> cons(mark(X), from(s(X)))
  , a__from(X) -> from(X)
  , a__sel1(X1, X2) -> sel1(X1, X2)
  , a__sel1(s(X), cons(Y, Z)) -> a__sel1(mark(X), mark(Z))
  , a__sel1(0(), cons(X, Z)) -> a__quote(X)
  , a__quote(X) -> quote(X)
  , a__quote(s(X)) -> s1(a__quote(X))
  , a__quote(0()) -> 01()
  , a__quote(sel(X, Z)) -> a__sel1(mark(X), mark(Z))
  , a__first1(X1, X2) -> first1(X1, X2)
  , a__first1(s(X), cons(Y, Z)) ->
    cons1(a__quote(Y), a__first1(mark(X), mark(Z)))
  , a__first1(0(), Z) -> nil1()
  , a__quote1(X) -> quote1(X)
  , a__quote1(cons(X, Z)) -> cons1(a__quote(X), a__quote1(Z))
  , a__quote1(nil()) -> nil1()
  , a__quote1(first(X, Z)) -> a__first1(mark(X), mark(Z))
  , a__unquote(X) -> unquote(X)
  , a__unquote(01()) -> 0()
  , a__unquote(s1(X)) -> s(a__unquote(mark(X)))
  , a__unquote1(X) -> unquote1(X)
  , a__unquote1(nil1()) -> nil()
  , a__unquote1(cons1(X, Z)) ->
    a__fcons(a__unquote(mark(X)), a__unquote1(mark(Z)))
  , a__fcons(X, Z) -> cons(mark(X), Z)
  , a__fcons(X1, X2) -> fcons(X1, X2) }
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) 'Polynomial Path Order (PS) (timeout of 60 seconds)' failed due
            to the following reason:
            
            The input cannot be shown compatible
         
         2) 'bsearch-popstar (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..