The investigators previously identified three novel HLA-A\*2402-restricted epitope peptides, which were derived from three cancer-testis antigens, URLC10, CDCA1, and KIF20A, as targets for cancer vaccination against lung cancer. In this phase I trial, the investigators examine using a combination of these three peptides the safety, immunogenicity, and antitumor effect of vaccine treatment for HLA-A\*2402-positive advanced non-small cell lung cancer patients who failed to standard therapy.