TOPEKA, Kan. (AP) — Plaintiffs in the ongoing Kansas school finance lawsuit have told the state Supreme Court that some student test scores show the state is failing to fund its public schools adequately. But attorneys for the state counter that funding is at record levels, that all schools are meeting state accreditation standards, and a court order for additional funding would be "a flagrant violation of the separation of powers." Both sides in the dispute filed briefs with the state's high court on Friday. The Supreme Court could have a lot to say about what that new formula looks like and how much money needs to go into it when it weighs the two sides' arguments and rules on the lawsuit later this year. This is the second phase of the school funding lawsuit. The plaintiffs, a group of school districts, won the first phase of the trial when the high court ruled that the state was failing to equitably distribute school aid. This second half of the case deals with adequacy -- whether the state is spending enough money in total on public education. Oral arguments are scheduled for September 21.