Phinn made no mistake with half an hour gone to put Dunfermline 2-0 up from Greg Ross' inviting centre.
But Paul Lawson hammered Richard Brittain's cross into the bottom corner and Steven Watt levelled before Graeme Holmes saw red for violent conduct.
Ross County: McGovern, Miller, Scott (Kettlewell 46), Boyd, Morrison, Watt, Gardyne, Lawson, Brittain, Di Giacomo (Vigurs 46), Wood (Barrowman 70). Subs Not Used: Malin, Craig.
Booked: Miller, Morrison, Lawson, Watt.
Goals: Lawson 54, Watt 85.
Dunfermline: Fleming, Ross, Bell, McGregor, McCann, Dowie, Gibson (Holmes 70), Phinn, Cardle (Muirhead 83), Burke, David Graham. Subs Not Used: Paterson, Mason, McIntyre.
Sent Off: Holmes (89). Booked: Cardle, Ross.
Goals: Phinn 10, 32.
Att: 2,213
Ref: J McKendrick
Source: BBC Sport
Source: BBC Sport