Prove invalidity by the method of assigning truth values to the simple statements involved $($i$.$e$.,$ abbreviated truth tables$).$ Use the letters in the order in which they are listed.

If Smith is intelligent and studies hard, then she will get good grades and pass her courses. If Sraith studies hard but lacks intelligence, then her efforts will be appreciated; and if her efforts are appreciated, then she will pass her courses. If Smith is intelligent, then she studies hard. Therefore Smith will pass her courses. $($I$,$ S$,$ G$,$ P$,$ A$)$