Are you that he has been lying to me what comes in blank either inferring or implying give me the correct word?

"Infer" and "imply" are often confused. "Implying" means "suggesting" or "indicating", and "inferring" means "concluding" or "deducing". If Bob says something to Lou that implies that Lou is bluffing, and Lou figures out that this is what Bob means (even though Bob has not said so explicitly), then Lou has inferred that Bob thinks he is bluffing.

It makes sense to say, "Are you suggesting that he has been lying to me?" This means that the Word you should use is implying: "Are you implying that he has been lying to me?"

Note that it is possible that in a different situation it would be correct to say "Are you inferring that he has been lying to me," if the circumstances were such that the person being asked could have arrived at the conclusion that someone was lying. However, this would be an unusual situation.

"Implying" is much more likely to be the correct Word to use in the example you have given.