  The CMS+TOTEM Precision Proton Spectrometer operated for the first time in
2016, collecting data during $pp$ collisions at $\sqrt{s} = 13$ TeV at the CERN
Large Hadron Collider. Procedures for the detector alignment, optics
corrections, and background estimations were developed, and applied to an
analysis of the process $pp \rightarrow p \mu^{+}\mu^{-} p^{(*)}$ with dimuon
masses larger than 110 GeV. A total of 12 candidate events are observed,
corresponding to an excess of $>4\sigma$ over the background prediction. This
constitutes the first evidence for this process at such masses, and
demonstrates the good performance of CT-PPS.
