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Show which literals can be inferred from the following knowledge bases, using both reasoning patterns and truth tables. Show all steps in your reasoning and explain your answers.

1) P & Q
2) Q →R v S
3) P → ~R

This is from my reasoning pattern tutorial, my text book shows similar question except that there is a single literal with workings, so I can somehow read through but I'm not familiar with some terms. I don't understand how I can infer all literals with the above information. I also don't fully understand what is and-elimination, modus ponens and unit resolution.

Is there anyone who is kind enough to use the above question as an example so that I can have a clearer picture?

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    $\begingroup$ I would like to note that the problem is not to infer all literals, but to show which literals can be inferred. $\endgroup$
    – nbro
    Feb 13, 2019 at 23:02

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