We consider what occurs when we remove one of the compositeness conditions
proposed by Bardeen, Hill and Lindner that leads to predictions for the top
quark mass conflicting with the experimental value. Through this consideration
the condition for the Higgs particle to be the composite particle is
reconsidered. We show that in this case, (I) the Higgs-Yukawa system of the
standard model becomes equivalent to a non-local four-fermi system at a
high-energy scale $\Lambda$, (II) The Higgs-Yukawa sector of the model becomes
useless above the scale because the vacuum state cannot be defined. We regard
the two phenomena as indications of the compositeness of the Higgs particle. It
is suggested that the new physics above $\Lambda$ contains bi-local fields.