Ideally, TRS --> TS with R not being connected (cable stock: coaxial type). (With a merely impedance-balanced output, TS --> TS would be exactly equivalent. Check device specs and/or block diagrams.) And don't be too surprised if you run into ground loop issues, it is an unbalanced connection after all and the S1 Pro at least appears to be IEC Class I. If XLR inputs 1/2 are already tied up otherwise, you may have a problem. An external converter with ADAT or SPDIF output may be needed then (and chances are you'd want to sync the clocking to it as well), or, well, another interface with more balanced (line) inputs to begin with.
You may still be able to make everything work by reshuffling connections, but you'll pretty much need to have a plan of the ground / earth connections around the unbalanced interconnect (computer power supply, mixer, S1, potential non-mic sources on inputs 1/2). A ground loop buster (line isolator) like the trusty Behringer HD400 or similar may end up coming in super handy... probably the least expensive way of getting the situation under control. Just make sure that the number of ground connections to the interface does not drop to zero either. (Otherwise you may end up with hum on a guitar or bass if that were to be plugged into 3/4. You always want the signal ground potential on such an instrument to agree with your body's potential, or else capacitive coupling between you and the internal wiring may introduce hum.)
You can probably tell why the "all balanced connections and every device grounded" approach is so popular in setups of any complexity. At least devices only need to conform to AES48-2005.