Question $6.$ Consider the following Boolean expression:

$\backslash$phi $($x$1,$ x$2,$ x$3,$ x$4)=($x$1$ x$3$ x$4)($x$1$ x$2$x$4)($x$1$x$3$x$4)($x$1$x$3$ x$4)($x$1$ x$3$x$4)$

$$ Give the graph G corresponding to $\backslash$phi in the reduction of $3-$SAT to the Independent Set Problem

$$ Give an independent set of size five in G and the corresponding truth assignment which satisfies $\backslash$phi