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Stock-Based Compensation (Tables)
9 Months Ended
Apr. 30, 2020
Share-based Payment Arrangement [Abstract]  
Common stock options granted, forfeited or expired and exercised

The following is a summary of the common stock options granted, forfeited or expired and exercised under the Plan:

    Options   Weighted Average Exercise Price per Share   Weighted Average Remaining Life (Years)   Aggregate Intrinsic Value
Outstanding - July 31, 2019     8,116,495     $ 0.84       7.21     $ 15,961,391  
Granted     1,404,200     $ 1.49       4.42       —    
Forfeited or expired     (642,500 )   $ 0.79       5.78       —    
Exercised     —         —         —         —    
Outstanding – April 30, 2020     8,878,195     $ 0.93       6.20     $ 439,979  
Fair value assumptions used in Black-Scholes option-pricing

The following assumptions were used in the Black-Scholes option-pricing model:

    April 30, 2020
Exercise price     $1.44 – 1.49  
Time to expiration     5 years  
Risk-free interest rate     1.51% - 1.59 %
Estimated volatility     153.4 %
Expected dividend     —    
Stock price at valuation date     $1.44 – 1.49