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Circuit lower bounds are important since it is believed that asuper-polynomial circuit lower bound for a problem in NP implies that P!=NP.Razborov has proved superpolynomial lower bounds for monotone circuits by usingmethod of approximation. By extending this approach, researchers have provedexponential lower bounds for the monotone network complexity of severaldifferent functions. But until now, no one could prove a non-linear lower boundfor the non-monotone complexity of any Boolean function in NP. While we showthat in this paper by replacement of each Not gates into constant 1equivalently in standard circuit for clique problem, it can be proved thatnon-monotone network has the same or higher lower bound compared to themonotone one for computing the clique function. This indicates that thenon-monotone network complexity of the clique function is super-polynomialwhich implies that P!=NP.

A Solution of the P versus NP Problem based on specific property of clique function