A system for additively manufacturing an object comprises a source of a feedstock line, a rigidizing mechanism that receives the feedstock line from the source and transforms the resin from a first at least partially uncured state to a rigid at least partially uncured state, a delivery guide that deposits the feedstock line along a print path, a feed mechanism that feeds the feedstock line through the delivery guide, a de-rigidizing mechanism that transforms the resin from the rigid at least partially uncured state to a second at least partially uncured state, and a curing mechanism that transforms the resin from the second at least partially uncured state to an at least partially cured state.