This dataset contains the necessary atomic structure and input files to use the R-Matrix with Time-dependence code suite (open source and freely available) to replicate the results presented in "Triple-resolution of spectral phases via semi-relativistic ab-initio RABBITT simulations". Additionally, the output photoelectron momentum spectra data output from the RMT simulations are provided, to allow replication of the post-processing and spectral phase extraction processes in the absence of access to a large HPC cluster. Finally, a link is provided to a git repository hosted on gitlab.com where post-processing, spectral phase extraction, and visualisation tools are available to operate on these momentum spectra, and an interactive example is provided via a webhosted (via mybinder) Python Jupyter notebook.