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The main purpose of this paper is to provide an infinite family of counterexamples of the open problem mentioned in [2]. In particular, we present aninfinite family of a particular Legendrian $(4,-(2n+5))$-torus knot, for each$n \geq 0$, which has only 1 normal ruling, but do not satisfy the even numberof clasps condition of Theorem 3 of [2]. Thus, these normal rulings cannotimply the existence of a decomposable exact Lagrandian filling.

$(4,-(2n+5))$-torus knot with only 1 normal ruling