MAYBE

'epo* (timeout of 60.0 seconds)'
--------------------------------
Answer:           MAYBE
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  a__and(true(), X) -> mark(X)
     , a__and(false(), Y) -> false()
     , a__if(true(), X, Y) -> mark(X)
     , a__if(false(), X, Y) -> mark(Y)
     , a__add(0(), X) -> mark(X)
     , a__add(s(X), Y) -> s(add(X, Y))
     , a__first(0(), X) -> nil()
     , a__first(s(X), cons(Y, Z)) -> cons(Y, first(X, Z))
     , a__from(X) -> cons(X, from(s(X)))
     , mark(and(X1, X2)) -> a__and(mark(X1), X2)
     , mark(if(X1, X2, X3)) -> a__if(mark(X1), X2, X3)
     , mark(add(X1, X2)) -> a__add(mark(X1), X2)
     , mark(first(X1, X2)) -> a__first(mark(X1), mark(X2))
     , mark(from(X)) -> a__from(X)
     , mark(true()) -> true()
     , mark(false()) -> false()
     , mark(0()) -> 0()
     , mark(s(X)) -> s(X)
     , mark(nil()) -> nil()
     , mark(cons(X1, X2)) -> cons(X1, X2)
     , a__and(X1, X2) -> and(X1, X2)
     , a__if(X1, X2, X3) -> if(X1, X2, X3)
     , a__add(X1, X2) -> add(X1, X2)
     , a__first(X1, X2) -> first(X1, X2)
     , a__from(X) -> from(X)}

Proof Output:    
  The input cannot be shown compatible