A method and system for processing a heated flexible sheet, with oppositely facing surfaces, that is advanced in a processing path. A first cooling roll has a first peripheral surface for contacting one of the sheet surfaces. A second cooling roll has a second peripheral surface for contacting the other sheet surface. The system is configured so that the first and second cooling rolls are selectively movable in relationship to each other in a manner, other than by moving one or both of the first and second cooling rolls towards or away from the flexible sheet, between: a) a first relationship wherein the first sheet surface is caused to engage the first peripheral surface over a first circumferential extent as the flexible sheet is advanced in the processing path; and b) a second relationship wherein the first sheet surface is caused to engage the first peripheral surface over a second circumferential extent that is different than the first circumferential extent as the flexible sheet is advanced in the processing path.