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We perform a detailed ab initio study of all known states in s- and p-shell nuclei with a width not exceeding 300 keV using a realistic JISP16 NN interaction [1]. This interaction was obtained in the J-matrix inverse scattering approach [2] and fitted by phase-equivalent transformations to reproduce properties of light nuclei without three-nucleon forces. The effect of three-nucleon interaction is mimicked by off-shell properties of JISP16. The calculations of nuclear observables are performed in the No-core Shell Model [3] using modern supercomputers and largest attainable basis spaces. The results for energies of ground and excited states are extrapolated to the infinite basis space (the so-called No-core Full Configuration (NCFC) approach [3]) using various extrapolation techniques. The NCFC approach makes it possible to estimate the uncertainty of theoretical predictions for energies. It is shown that the JISP16 NN interaction provides an accurate description of binding energies and spectra of nuclei with A ≤ 12. The NCFC extrapolation technique and new generation of supercomputers which make it possible to increase basis spaces in NCSM calculations, reveals a drawback of JISP16 interaction: it overbinds nuclei at the end of p shell. I discuss a recent progress in fully microscopic description of light nuclei and further development of NN interaction of JISP type. [1] A.M.Shirokov, J.P.Vary, A.I.Mazur, T.A.Weber // Phys. Lett. B. 2007. V. 644. P. 33. [2] A.M.Shirokov, A.I.Mazur, S.A.Zaytsev, J.P.Vary, T.A.Weber // Phys. Rev. C. 2004. V. 70. 044005. [3] P.Maris, J.P.Vary, A.M.Shirokov // Phys. Rev. C. 2009. V. 79. 014308.