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

Schwarzschild $1/r$-singularity is not permissible in ghost free quadratic curvature infinite derivative gravity