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Summary of Significant Accounting Policies - Fair Value of Derivative Instruments (Detail) - Commodity Futures Contract [Member] - USD ($)
Jun. 30, 2016
Dec. 31, 2015
Derivatives, Fair Value [Line Items]    
Assets $ 260,815,126 $ 355,260,235
Liabilities (256,806,819) (373,040,379)
Not Designated as Hedging Instrument [Member]    
Derivatives, Fair Value [Line Items]    
Assets 260,815,126 21,760,386
Liabilities $ (41,115,333) $ (373,040,379)