  Over the last decade, evidence has mounted that the solar system's observed
state can be favorably reproduced in the context of an instability-driven
dynamical evolution model, such as the "Nice" model. To date, all successful
realizations of instability models have concentrated on evolving the four giant
planets onto their current orbits from a more compact configuration.
Simultaneously, the possibility of forming and ejecting additional planets has
been discussed, but never successfully implemented. Here we show that a large
array of 5-planet (2 gas giants + 3 ice giants) multi-resonant initial states
can lead to an adequate formation of the outer solar system, featuring an
ejection of an ice giant during a phase of instability. Particularly, our
simulations demonstrate that the eigenmodes which characterize the outer solar
system's secular dynamics can be closely matched with a 5-planet model.
Furthermore, provided that the ejection timescale of the extra planet is short,
orbital excitation of a primordial cold classical Kuiper belt can also be
avoided in this scenario. Thus the solar system is one of many possible
outcomes of dynamical relaxation and can originate from a wide variety of
initial states. This deems the construction of a unique model of solar system's
early dynamical evolution impossible.
