MAYBE

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

Strict Trs:
  { active(dbl(X)) -> dbl(active(X))
  , active(dbl(0())) -> mark(0())
  , active(dbl(s(X))) -> mark(s(s(dbl(X))))
  , active(dbls(X)) -> dbls(active(X))
  , active(dbls(nil())) -> mark(nil())
  , active(dbls(cons(X, Y))) -> mark(cons(dbl(X), dbls(Y)))
  , active(sel(X1, X2)) -> sel(X1, active(X2))
  , active(sel(X1, X2)) -> sel(active(X1), X2)
  , active(sel(0(), cons(X, Y))) -> mark(X)
  , active(sel(s(X), cons(Y, Z))) -> mark(sel(X, Z))
  , active(indx(X1, X2)) -> indx(active(X1), X2)
  , active(indx(nil(), X)) -> mark(nil())
  , active(indx(cons(X, Y), Z)) -> mark(cons(sel(X, Z), indx(Y, Z)))
  , active(from(X)) -> mark(cons(X, from(s(X))))
  , active(dbl1(X)) -> dbl1(active(X))
  , active(dbl1(0())) -> mark(01())
  , active(dbl1(s(X))) -> mark(s1(s1(dbl1(X))))
  , active(s1(X)) -> s1(active(X))
  , active(sel1(X1, X2)) -> sel1(X1, active(X2))
  , active(sel1(X1, X2)) -> sel1(active(X1), X2)
  , active(sel1(0(), cons(X, Y))) -> mark(X)
  , active(sel1(s(X), cons(Y, Z))) -> mark(sel1(X, Z))
  , active(quote(X)) -> quote(active(X))
  , active(quote(dbl(X))) -> mark(dbl1(X))
  , active(quote(0())) -> mark(01())
  , active(quote(s(X))) -> mark(s1(quote(X)))
  , active(quote(sel(X, Y))) -> mark(sel1(X, Y))
  , dbl(mark(X)) -> mark(dbl(X))
  , dbl(ok(X)) -> ok(dbl(X))
  , s(ok(X)) -> ok(s(X))
  , dbls(mark(X)) -> mark(dbls(X))
  , dbls(ok(X)) -> ok(dbls(X))
  , cons(ok(X1), ok(X2)) -> ok(cons(X1, X2))
  , sel(X1, mark(X2)) -> mark(sel(X1, X2))
  , sel(mark(X1), X2) -> mark(sel(X1, X2))
  , sel(ok(X1), ok(X2)) -> ok(sel(X1, X2))
  , indx(mark(X1), X2) -> mark(indx(X1, X2))
  , indx(ok(X1), ok(X2)) -> ok(indx(X1, X2))
  , from(ok(X)) -> ok(from(X))
  , dbl1(mark(X)) -> mark(dbl1(X))
  , dbl1(ok(X)) -> ok(dbl1(X))
  , s1(mark(X)) -> mark(s1(X))
  , s1(ok(X)) -> ok(s1(X))
  , sel1(X1, mark(X2)) -> mark(sel1(X1, X2))
  , sel1(mark(X1), X2) -> mark(sel1(X1, X2))
  , sel1(ok(X1), ok(X2)) -> ok(sel1(X1, X2))
  , quote(mark(X)) -> mark(quote(X))
  , quote(ok(X)) -> ok(quote(X))
  , proper(dbl(X)) -> dbl(proper(X))
  , proper(0()) -> ok(0())
  , proper(s(X)) -> s(proper(X))
  , proper(dbls(X)) -> dbls(proper(X))
  , proper(nil()) -> ok(nil())
  , proper(cons(X1, X2)) -> cons(proper(X1), proper(X2))
  , proper(sel(X1, X2)) -> sel(proper(X1), proper(X2))
  , proper(indx(X1, X2)) -> indx(proper(X1), proper(X2))
  , proper(from(X)) -> from(proper(X))
  , proper(dbl1(X)) -> dbl1(proper(X))
  , proper(01()) -> ok(01())
  , proper(s1(X)) -> s1(proper(X))
  , proper(sel1(X1, X2)) -> sel1(proper(X1), proper(X2))
  , proper(quote(X)) -> quote(proper(X))
  , top(mark(X)) -> top(proper(X))
  , top(ok(X)) -> top(active(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..