Explanation
This approach uses SUMPRODUCT to count the occurrence of every value in the table, one row at a time. Only when the same value appears in the same location in all three rows is a count generated. For cell B4, the formula is solved like this:
=SUMPRODUCT(($B$4:$E$4=B$4)*($B$5:$E$5=B$5)*($B$6:$E$6=B$6))>1
=SUMPRODUCT(({1,1,1,1})*({1,0,1,0})*({1,0,1,0}))>1
=SUMPRODUCT({1,0,1,0})>1
=2>1
=TRUE
Note that row references are fully absolute, while cell references are mixed, with only the row locked.
With a helper row
If you don't mind adding a helper row to your data, you can simplify the conditional formatting formula quite a bit. In a helper row, concatenate all values in the column. Then you can use COUNTIF on that one row to count values that appear more than once, and use the result to trigger conditional formatting in the entire column.