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Income Taxes (Provision for Income Taxes Differed from Amounts Computed by the U.S. Federal Income Tax Rate) (Details) - USD ($) | 12 Months Ended
--- | ---
Jul. 31, 2024 | Jul. 31, 2023 | Jul. 31, 2022
Amount |  |  |
Computed "expected" tax benefit | $ (21,059,000) | $ (6,478,000) | $ (7,786,000)
State and local income taxes, net of federal benefit | (127,000) | 440,000 | 227,000
Stock-based compensation | 1,891,000 | 692,000 | 1,049,000
Research and experimentation credits | (1,251,000) | (2,576,000) | (1,484,000)
Foreign-derived intangible income deduction | 43,000 | (517,000) | 0
Revaluation of convertible preferred stock option liability | 0 | 0 | (211,000)
Revaluation of warrants | (897,000) | 0 | 0
Nondeductible executive compensation | 0 | 1,484,000 | 2,801,000
PST Divestiture | 1,384,000 | 0 | 0
Change in valuation allowance | 10,177,000 | 2,834,000 | 2,009,000
Remeasurement of deferred taxes | 0 | 0 | (396,000)
Foreign income taxes | (389,000) | (269,000) | (478,000)
Goodwill impairment | 9,549,000 | 0 | 0
Other, net | 384,000 | 442,000 | 246,000
Benefit from income taxes | $ (295,000) | $ (3,948,000) | $ (4,023,000)
Rate |  |  |
Computed "expected" tax benefit | 21.00% | 21.00% | 21.00%
State and local income taxes, net of federal benefit | 0.10% | (1.40%) | (0.60%)
Stock-based compensation | (1.90%) | (2.20%) | (2.80%)
Research and experimentation credits | 1.20% | 8.40% | 4.00%
Foreign-derived intangible income deduction | 0.00% | 1.70% | 0.00%
Revaluation of convertible preferred stock option liability | 0.00% | 0.00% | 0.60%
Revaluation of warrants | 0.90% | 0.00% | 0.00%
Nondeductible executive compensation | 0.00% | (4.80%) | (7.60%)
PST Divestiture | (1.40%) | 0.00% | 0.00%
Change in valuation allowance | (10.00%) | (9.20%) | (5.40%)
Remeasurement of deferred taxes | 0.00% | 0.00% | 1.10%
Foreign income taxes | 0.40% | 0.90% | 1.30%
Goodwill impairment | (9.50%) | 0.00% | 0.00%
Other, net | (0.50%) | (1.60%) | (0.70%)
Benefit from income taxes | 0.30% | 12.80% | 10.90%

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