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We study the chiral gauge model (11112) of four left-movers and oneright-mover with strong interactions in the 1+1 dimensional lattice. Exactcomputations of relevant $S$-matrix elements demonstrate a loophole that soconstructed model and its dynamics can possibly evade the ``no-go'' theorem ofNielsen and Ninomiya.Comment: 15 pages, 1 fig. to appear in Phys. Rev.

(11112) model on a (1+1)-dimensional lattice