  In this paper we will study the complete equations of motion for a ghost free
quadratic curvature infinite derivative gravity. We will argue that within the
scale of non-locality, Schwarzschild-type singular metric solution is not {\it
permissible}. Therefore, Schwarzschild-type vacuum solution which is a
prediction in Einstein-Hilbert gravity may {\it not} persist within the region
of non-locality. We will also show that just quadratic curvature gravity,
without infinite derivatives, always allows Schwarzschild-type singular metric
solution.
