People have human love, filios, but agape is the kind that lays His Life down for you. If you experience His Love for you and accept Him you get His love in your heart, which enables you to love unlovable people, like Corrie ten Boom who forgave and could really love the nazi from the concentration camp where her sister got killed. She herself first hated him, but God did that in her when she let Him.
That doesn't sound like it's impossible for people to experience when you literally gave an example of a person doing just that.
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