Step 1: The clinical question is which laboratory test confirms involvement of the central nervous system by Treponema pallidum. The key sample here is the CSF, not serum.
Step 2: When CSF is analysed in suspected neurosyphilis, the findings include increased white cells (pleocytosis), elevated protein and a reactive VDRL. A reactive CSF VDRL is taken as confirmation of neurosyphilis.
Step 3: Because the CSF VDRL is highly specific but not very sensitive, a non-reactive result cannot exclude the disease; here the FTA-ABS test is added to back up the VDRL.
Step 4: RPR and TPI do not serve as the principal CSF confirmatory test, so among the choices VDRL is the diagnostic test of choice for neurosyphilis.
\[\boxed{\text{VDRL}}\]