What condition is indicated by painless lesions that are soft and papillary, rather than smooth or raised?

The presence of painless lesions that are soft and papillary in appearance is characteristic of genital warts, which are caused by certain strains of the human papillomavirus (HPV). These lesions typically appear as small, flesh-colored or gray swellings and may have a cauliflower-like texture, distinguishing them from other types of lesions that can be associated with various sexually transmitted infections.

Molluscum contagiosum, while it can present with papular lesions, typically has a smooth, domed shape with a central pit. Gonorrhea primarily manifests with symptoms involving urethritis, cervicitis, or pharyngitis, rather than specific painless soft lesions. Herpes simplex virus type 2 (HSV-2) often results in painful ulcers and lesions, not soft and papillary ones, differentiating it from genital warts. Therefore, the description of the lesions in this question aligns closely with the characteristics of genital warts caused by HPV.