  We study the correlator of temporal Wilson lines at non-zero temperature in
2+1 flavor lattice QCD with the aim to define the heavy quark-antiquark
potential at non-zero temperature. For temperatures $153~{\rm MeV} \leq T \leq
352~{\rm MeV}$ the spectral representation of this correlator is consistent
with a broadened peak in the spectral function, position or width of which then
defines the real or imaginary parts of the heavy quark-antiquark potential at
non-zero temperature, respectively. We find that the potential's real part is
not screened contrary to the widely-held expectations. We comment on how this
fact may modify the picture of quarkonium melting in the quark-gluon plasma.
