The petal-number bound for torus knots

Let $r$ and $s$ be relatively prime integers with $1 < r < s$, and let $T_{r,s}$ denote the corresponding torus knot. The petal-number bound for torus knots.

$$p(T_{r,s})\leq 2s-2\Big\lfloor \frac{s}{r} \Big\rfloor+1.$$

The authors are led to this conjecture by the cases established earlier in the paper, including $r=2$ and the condition of their main theorem; its status is not resolved in the supplied source.