Almost two years ago I was working on a test profile for The Talos Principle, but only recently got around to restoring it and making it available on OpenBenchmarking.org for automated benchmarking via the Phoronix Test Suite. With Steam installed and owning the rights to the game, it should be as easy as phoronix-test-suite benchmark talos-principle.
For testing out the new test profile, I ran tests on a range of different NVIDIA modern graphics cards. If there is enough interest on this game for the AMD Linux side, I can see about doing some open vs. closed-source benchmarks on that front. Let me know if you would be interested in that, particularly if you are a premium subscriber.
See the OB result file for all of the system hardware/software details. And for making the data more interesting (and always looking to further stress the Phoronix Test Suite / OpenBenchmarking.org Git paths), also the GPU thermal, GPU usage, and CPU usage (as easy as setting MONITOR=gpu.usage,gpu.temp,cpu.usage as an environment variable prior to running the Phoronix Test Suite) while running this fresh round of Talos Principle benchmarks:
Explore more of this Linux graphics card test data via this OpenBenchmarking.org result file.