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The CMI Millennium "P vs NP Problem" can be resolved e.g. if one shows atleast one counterexample to the conjecture "P is equal to NP". A certain classof problems being such counterexamples is formulated. This implies therejection of the hypothesis "P is equal to NP" for any conditions satisfyingthe formulation of the problem. Thus, the solution "P is different from NP" ofthe problem is proved. The class of counterexamples can be interpreted as anyquantum superposition of any finite set of quantum states. The Kochen-Speckertheorem is involved. Any fundamentally random choice among a finite set ofalternatives belong to NP, but not to P. The conjecture that the set complementof P to NP can be described by that kind of choice is formulated exhaustively.

A class of examples demonstrating that P is different from NP in the "P vs NP" problem