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Federal Income Taxes (Details) - Schedule of federal income taxes on earnings differs from that computed at the statutory corporate tax rate - USD ($)
$ in Thousands
12 Months Ended
Jun. 30, 2020
Jun. 30, 2019
Schedule of federal income taxes on earnings differs from that computed at the statutory corporate tax rate [Abstract]    
Federal income taxes at the statutory rate $ (2,579) $ 200
Increase (decrease) resulting primarily from:    
Cash surrender value of life insurance (16) (15)
Deferred tax liability adjustment, net, resulting from Kentucky tax legislation 14 (63)
Goodwill impairment 2,848  
Other (3) 19
Total federal income taxes $ 264 $ 141