Think here that a 5HP motor, partly loaded, on single phase domestic supply might well empty your mains supply at start up! Lights go dim and possibly the main supply fuse will be activated if the wife has the oven and a few other loads in operation at the same time. My large stick welder or 2HP compressor both noticeably dim the lights momentarily at switch on.
You would likely need a rolled steel magnet framed generator, not a rotating field genny, to avoid a stall situation at start up. To be safe, I would hazard a guess at ten times running current? That is why most larger motors are three phase. I would guess that a three phase motor would start with much less overload capcity but I don't know how much less.
Soft start, such as a VFD could provide, is a definite advantage. I would suggest borrowing, or even hiring, a generator to check out suitability, after seeking advice from a generator hire company.