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Consider the Boolean function $F(w,x,y,z) = wy + xy + \overline{w}\:xyz + \overline{w}\:\overline{x}\:y + xz + \overline{x}\:\overline{y}\:\overline{z}.$ Which one of  the following is the complete set of essential prime implicants?

1. $w,y,xz,\overline{x}\:\overline{z}$
2. $w,y,xz$
3. $y, \overline{x}\:\overline{y}\:\overline{z}$
4. $y,xz,\overline{x}\:\overline{z}$

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