Using MYCIN approach for computing the certainty value, show step by step the inference mechanism. Assume the inference priority is first matched rule and proceed with depth first $($one you match the rule go in deep with its conclusion to the next rule$)$

Facts:

A:$0\mathrm{.}7,$ E:$0\mathrm{.}7,$ N:$0\mathrm{.}5,$ B:$0\mathrm{.}8,$ M:$0\mathrm{.}4,$ R:$0\mathrm{.}6,$ Z:$0\mathrm{.}7,$ F:$0\mathrm{.}4$

Rules:

Rule$1$: IF E or N then A $(0\mathrm{.}5)$

Rule$2$: IF M or R then K $(0\mathrm{.}7)$

Rule$3$: IF A and B then G $(0\mathrm{.}4)$

Rule$4$: IF $G$ and $Z$ then $M(0\mathrm{.}8)$

Rule $5$: IF K or F:$0\mathrm{.}2$ then G $(0\mathrm{.}9)$