The tool looks to be one of the 5-piece set sold by Proxxon (for a mere 64 quid!) for use with the PD400. I too bought the set because I knew almost nothing about lathe tooling when I bought the lathe, so reckoned I should start with 'proper' tools. I was confused by the Form 1 thing – I assumed that it must be a standard designation, but it seems to be a Proxxon thing. Except for the parting tool they work well – a 3mm DOC in mild steel with the tool shown is possible, though perhaps not advisable on this light machine.
13Sigs – if it was the parting tool in this set you broke it's unlikely that the problem was with sharpness (all the tools are sharp OOTB). More likely it jammed – the saddle/cross-slide assembly on this machine is insufficiently rigid to take the cutting forces with such a wide blade, although the spindle has the power to drive it. Well, that was my experience anyhow.
Regards, Robin