  TRAPPIST-1 is a late M-dwarf orbited by seven Earth-sized planets with
orbital period ratios near a chain of mean motion resonances. Due to uncertain
system parameters, most orbital configurations drawn from the inferred
posterior distribution are unstable on short timescales of $\sim$ 0.5 Myr, even
when including the eccentricity damping effect of tides. By contrast, we show
that most physically plausible resonant configurations generated through disk
migration are stable even without tidal dissipation on timescales of at least
50 Myr ($10^{10}$ orbits), an increase of at least two orders of magnitude.
This result, together with the remarkable chain of period ratios in the system,
provide strong evidence for convergent migration naturally emplacing the system
near an equilibrium configuration forced by the resonant chain. We provide an
openly available database of physically plausible initial conditions for
TRAPPIST-1 generated through parametrized planet-disk interactions, as well as
bit-by-bit reproducible N-body integrations over $10^9-10^{10}$ orbits.
