MAYBE

'Pop* (timeout of 60.0 seconds)'
--------------------------------
Answer:           MAYBE
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  dx(X) -> one()
     , dx(a()) -> zero()
     , dx(plus(ALPHA, BETA)) -> plus(dx(ALPHA), dx(BETA))
     , dx(times(ALPHA, BETA)) ->
       plus(times(BETA, dx(ALPHA)), times(ALPHA, dx(BETA)))
     , dx(minus(ALPHA, BETA)) -> minus(dx(ALPHA), dx(BETA))
     , dx(neg(ALPHA)) -> neg(dx(ALPHA))
     , dx(div(ALPHA, BETA)) ->
       minus(div(dx(ALPHA), BETA),
             times(ALPHA, div(dx(BETA), exp(BETA, two()))))
     , dx(ln(ALPHA)) -> div(dx(ALPHA), ALPHA)
     , dx(exp(ALPHA, BETA)) ->
       plus(times(BETA, times(exp(ALPHA, minus(BETA, one())), dx(ALPHA))),
            times(exp(ALPHA, BETA), times(ln(ALPHA), dx(BETA))))}

Proof Output:    
  The input cannot be shown compatible