The following dialogue contains eight arguments. Translate each into symbolic form and then use the first thirteen rules of inference to derive the conclusion of each.

New Cradle

Chloe, with youngster in tow, is strolling across campus when she bumps into her friend Dylan. “Hi,” she says. “You must be coming from class.”
“Yes, I am,” he says. “Social psychology. And who is the little one?”
“This is my niece Ashley. She was three last month. Ashley, say “Hi” to Dylan. We’re heading over to the campus day-care center. Do you want to join us?”

“Sure,” he says. “At least as far as the cafeteria.”
“You know, kids are really a kick in the pants,” she says. “That’s why my heart goes out to a same-sex couple I know.”

“And why is that?” Dylan asks.
“They’re trying to adopt a baby, but the only adoption agency in this small town refuses to help them because the agency is religiously affiliated. I’m talking about the New Cradle agency. Those people at New Cradle think same-sex marriage is sinful.”

“Well, in light of this religious freedom legislation that’s been coming down the pike lately, the people at New Cradle may be within their rights.”
“How is that?” Chloe asks.

“It goes like this,” he says. “If religious freedom is a right, then the people at New Cradle have a right to practice it as they choose. And if they have a right to practice it as they choose, then if they think same-sex marriage violates their religion, then they can refuse to help same-sex couples adopt a baby. Now religious freedom is a right and those people think same-sex marriage violates their religion. Hence they can refuse to help same-sex couples adopt a baby.”

“But wait just a minute,” Chloe says. “New Cradle is engaged in a commercial activity, just like a restaurant, and some of its babies come from out of state. So I would offer you this argument. If New Cradle receives government support or is engaged in interstate commerce, then if it discriminates against same-sex couples, then it violates those couple’s civil rights. Now if New Cradle refuses to help same-sex couples adopt, then it discriminates. New Cradle is engaged in interstate commerce and it refuses to help same-sex couples adopt. Thus, New Cradle violates those couples’ civil rights.”