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Income Taxes - Reconciliation of Financial Statement Net Income to Taxable Income (Detail) (USD $)
3 Months Ended 12 Months Ended
Dec. 31, 2014
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2013
Sep. 30, 2013
Jun. 30, 2013
Mar. 31, 2013
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Income Tax Disclosure [Abstract]                      
Net income per financial statements $ 178,296us-gaap_NetIncomeLoss $ 178,597us-gaap_NetIncomeLoss $ 177,911us-gaap_NetIncomeLoss $ 142,722us-gaap_NetIncomeLoss $ 174,494us-gaap_NetIncomeLoss $ 176,260us-gaap_NetIncomeLoss $ 173,203us-gaap_NetIncomeLoss $ 134,918us-gaap_NetIncomeLoss $ 677,526us-gaap_NetIncomeLoss $ 658,875us-gaap_NetIncomeLoss $ 634,162us-gaap_NetIncomeLoss
Excess book depreciation                 17,328dtrpi_ExcessBookDepreciation 17,328dtrpi_ExcessBookDepreciation 17,328dtrpi_ExcessBookDepreciation
Taxable income                 $ 694,854dtrpi_TaxableIncome $ 676,203dtrpi_TaxableIncome $ 651,490dtrpi_TaxableIncome