Inequality and Nyman-Beurling-Baez-Duarte criteria

We proposed a proof of the Riemann hypothesis. The proof is based on the Nyman-Beurling-Baez-Duarte condition. By proving existence of the solution for a system of inequalities, we can show that there is a sequence, which act as the coefficient of Beurling's sequence, can approximate the constant vector in a weighted Hilbert space.
Comment: 9 pages, version 1 is wrong. Version 2 fixed an argument in the proof. This is version 4