MAYBE

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

Strict Trs:
  { active(zeros()) -> mark(cons(0(), zeros()))
  , active(cons(X1, X2)) -> cons(active(X1), X2)
  , active(U11(X1, X2)) -> U11(active(X1), X2)
  , active(U11(tt(), L)) -> mark(U12(tt(), L))
  , active(U12(X1, X2)) -> U12(active(X1), X2)
  , active(U12(tt(), L)) -> mark(s(length(L)))
  , active(s(X)) -> s(active(X))
  , active(length(X)) -> length(active(X))
  , active(length(cons(N, L))) -> mark(U11(tt(), L))
  , active(length(nil())) -> mark(0())
  , active(U21(X1, X2, X3, X4)) -> U21(active(X1), X2, X3, X4)
  , active(U21(tt(), IL, M, N)) -> mark(U22(tt(), IL, M, N))
  , active(U22(X1, X2, X3, X4)) -> U22(active(X1), X2, X3, X4)
  , active(U22(tt(), IL, M, N)) -> mark(U23(tt(), IL, M, N))
  , active(U23(X1, X2, X3, X4)) -> U23(active(X1), X2, X3, X4)
  , active(U23(tt(), IL, M, N)) -> mark(cons(N, take(M, IL)))
  , active(take(X1, X2)) -> take(X1, active(X2))
  , active(take(X1, X2)) -> take(active(X1), X2)
  , active(take(0(), IL)) -> mark(nil())
  , active(take(s(M), cons(N, IL))) -> mark(U21(tt(), IL, M, N))
  , cons(mark(X1), X2) -> mark(cons(X1, X2))
  , cons(ok(X1), ok(X2)) -> ok(cons(X1, X2))
  , U11(mark(X1), X2) -> mark(U11(X1, X2))
  , U11(ok(X1), ok(X2)) -> ok(U11(X1, X2))
  , U12(mark(X1), X2) -> mark(U12(X1, X2))
  , U12(ok(X1), ok(X2)) -> ok(U12(X1, X2))
  , s(mark(X)) -> mark(s(X))
  , s(ok(X)) -> ok(s(X))
  , length(mark(X)) -> mark(length(X))
  , length(ok(X)) -> ok(length(X))
  , U21(mark(X1), X2, X3, X4) -> mark(U21(X1, X2, X3, X4))
  , U21(ok(X1), ok(X2), ok(X3), ok(X4)) -> ok(U21(X1, X2, X3, X4))
  , U22(mark(X1), X2, X3, X4) -> mark(U22(X1, X2, X3, X4))
  , U22(ok(X1), ok(X2), ok(X3), ok(X4)) -> ok(U22(X1, X2, X3, X4))
  , U23(mark(X1), X2, X3, X4) -> mark(U23(X1, X2, X3, X4))
  , U23(ok(X1), ok(X2), ok(X3), ok(X4)) -> ok(U23(X1, X2, X3, X4))
  , take(X1, mark(X2)) -> mark(take(X1, X2))
  , take(mark(X1), X2) -> mark(take(X1, X2))
  , take(ok(X1), ok(X2)) -> ok(take(X1, X2))
  , proper(zeros()) -> ok(zeros())
  , proper(cons(X1, X2)) -> cons(proper(X1), proper(X2))
  , proper(0()) -> ok(0())
  , proper(U11(X1, X2)) -> U11(proper(X1), proper(X2))
  , proper(tt()) -> ok(tt())
  , proper(U12(X1, X2)) -> U12(proper(X1), proper(X2))
  , proper(s(X)) -> s(proper(X))
  , proper(length(X)) -> length(proper(X))
  , proper(U21(X1, X2, X3, X4)) ->
    U21(proper(X1), proper(X2), proper(X3), proper(X4))
  , proper(U22(X1, X2, X3, X4)) ->
    U22(proper(X1), proper(X2), proper(X3), proper(X4))
  , proper(U23(X1, X2, X3, X4)) ->
    U23(proper(X1), proper(X2), proper(X3), proper(X4))
  , proper(take(X1, X2)) -> take(proper(X1), proper(X2))
  , proper(nil()) -> ok(nil())
  , 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) 'Fastest (timeout of 5 seconds) (timeout of 60 seconds)' failed
         due to the following reason:
         
         Computation stopped due to timeout after 5.0 seconds.
      
      3) '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
         
      
   


Arrrr..