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Additional Valuation Information - Summary of the Tiered Valuation Input Levels (Detail) - USD ($)
Sep. 30, 2022
Dec. 31, 2021
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
United States Treasury Obligations $ 191,355,788 $ 112,005,375
Exchange-Traded Fund 20,001,124 36,070,938
Money Market Mutual Fund 205,040,366 281,668,913
Total Investments in Securities 416,397,278 429,745,226
Commodity Futures Contracts, Appreciation   51,567,124
Other Investments:    
Commodity Futures Contracts, Unrealized Appreciation (Depreciation) (82,594,821)  
Total Investments 333,802,457 481,312,350
Level 1 [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Exchange-Traded Fund 20,001,124 36,070,938
Money Market Mutual Fund 205,040,366 281,668,913
Total Investments in Securities 225,041,490 317,739,851
Commodity Futures Contracts, Appreciation   51,567,124
Other Investments:    
Commodity Futures Contracts, Unrealized Appreciation (Depreciation) (82,594,821)  
Total Investments 142,446,669 369,306,975
Level 2 [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
United States Treasury Obligations 191,355,788 112,005,375
Total Investments in Securities 191,355,788 112,005,375
Other Investments:    
Total Investments $ 191,355,788 $ 112,005,375