Never ever heard or read of four phase. I have worked on 3,4 & 5 wire TWO phase systems over 45 years ago. We had a 3 wire two phase 2300 volt transformer supplying two phase 240 volt power to another building. Good luck trying to find a new 30 or 60 amp safety switch nowadays. Here in Philly they still have some old two.phase services. In my mind to ever have 4 phase service you would need 8 conductors ( 2 per phase ). Worst thing with two phase power if you cross phased say a two phase 4 wire motor think you only get around 170 volts and burn the motor out. I have came across that a few times. We always marked one of the two phase windings with red tape and the other winding with blue tape.