Mike Mroczka of Argyle, and Barry Knott, a D.C. policeman, shared top honors after the first day of the two day Heroes, Inc., golf tournament on the Chief Course at Indian Springs yesterday. Mroczka took the gross prize with a two-over-par 73 while Knott won low net with 74-11-63.

A total of 121 golfers teed it up yesterday, but some 300 more are to play both the Valley and Chief courses at Indian Spring today.

The tournament is being run under a new and complicated handicap format called the Scheerer system, named for inventor William Scheerer, director of physical education at Wofford College in Spartanburg, S.C. Under the format, handicap strokes are deducted from the player's score according to how well he has played certain holes. The system rewards those who perform well on the tougher holes.

Mroczka was out in 36 and home in 37. He was even par until the 16th when he took a double bogey. He had two birdies, making a 25-footer on the 11th and a 10-footer on the 12th.

George Dropo, a Connecticut high school principal and younger brother of Walt Dropo, former major league slugger, scored the only eagle of the day, a three on the 470-yard 12th. He required a drive, a three-wood and a 10-foot putt.