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In this paper, we analyze the argument made by Kumar in the technical report"Necessary and Sufficient Condition for Satisfiability of a Boolean Formula inCNF and Its Implications on P versus NP problem." The paper claims to present apolynomial-time algorithm that decides CNF-SAT. We show that the paper'sanalysis is flawed and that the fundamental underpinning of its algorithmrequires an exponential number of steps on infinitely many inputs.

A Critique of Kumar's "Necessary and Sufficient Condition for  Satisfiability of a Boolean Formula in CNF and Its Implications on P versus  NP problem."