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Derivative Instruments - Fair Value of Derivative Instruments and Effect of Derivative Instruments on Statements of Income and Expenses (Detail) - USD ($)
3 Months Ended
Mar. 31, 2019
Mar. 31, 2018
Derivative Instruments, Gain (Loss) [Line Items]    
Futures Contracts, Realized Gain (Loss) $ (13,814,281) $ (17,710,712)
Futures Contracts, Unrealized Gain (Loss) (1,220,892) 16,220,187
Commodity Futures Contract [Member] | Not Designated as Hedging Instrument [Member]    
Derivative Instruments, Gain (Loss) [Line Items]    
Futures Contracts, Realized Gain (Loss) (13,814,281) (17,710,712)
Futures Contracts, Unrealized Gain (Loss) (1,220,892) 16,220,187
Net Realized and Net Change in Unrealized Gain (Loss) on United States Treasury Obligations, Affiliated Investments and Commodity Futures Contracts $ (15,035,173) $ (1,490,525)