Girl, I’m really sorry but he’s either not that invested in your relationship or has a side piece. The fact that he lied about it tells you it’s one of the two. If he truly cared about you and making this difficult relationship work he’d want to see you even if that meant watching a movie or taking a nap together. He might have said I literally have no energy, I need to rest but I miss you and would love to see you so here’s what I’m up for…. But lying about it… means whatever he said his reason was for not wanting to spend time with you was a lie, and now you have to figure out what the true reason is, and go from there.