Step 1: Reading the acronym makes the answer obvious - CASPAR is built from the words Classification criteria for Psoriatic Arthritis, pointing directly to psoriatic arthropathy.
Step 2: The rule requires inflammatory disease of a joint, the spine or an enthesis, and then a tally of 3 or more points drawn from a short checklist.
Step 3: Points are earned for psoriasis (present or by history), psoriatic nail changes, a negative rheumatoid factor, sausage-like dactylitis, and X-ray evidence of new bone near the joints of the hand or foot.
Step 4: Because rheumatoid arthritis and ankylosing spondylitis have their own separate criteria sets, CASPAR belongs squarely to psoriatic arthritis.
\[\boxed{\text{Psoriatic arthritis}}\]