"I feel sad."
"I don't believe you."
"Quit accusing me!"
"I'm not accusing you. I'm just not believing you."
"Well, when I think about what happened, I feel sad."
"And, I still don't believe you."
"Well, to heck with you. Now I'm mad." (This is the PG version).
Perhaps then, a more integrated way for the conversation to go would have been:
"I feel sad."
"I don't believe you."
"I get it. You don't believe me. And, I feel sad. Both are true."
"Yes, they are."
End of story.