COMMITMENTS AND CONTINGENCIES (Details) $ in Millions	12 Months Ended
Jun. 30, 2025 USD ($) employee	Jun. 30, 2024 USD ($)
COMMITMENTS AND CONTINGENCIES
Employer matching contributions (as a percent)	4.00%
Total contributions by the company \| $	$ 0.5	$ 0.4
Employment Agreements
COMMITMENTS AND CONTINGENCIES
Number of officers \| employee	3
Number of employees \| employee	1
Aggregate annual base salaries \| $	$ 2.0
Employment Agreements \| Chief Executive Officer And Chief Medical Officer \| Minimum
COMMITMENTS AND CONTINGENCIES
Vesting period, change in control event	12 months
Exercisable period, change in control event and without cause	6 months
Exercisable period, change in control event	6 months
Employment Agreements \| Chief Executive Officer And Chief Medical Officer \| Maximum
COMMITMENTS AND CONTINGENCIES
Vesting period, change in control event	18 months
Exercisable period, change in control event and without cause	12 months
Exercisable period, change in control event	12 months
Employment Agreements \| Chief Medical Officer
COMMITMENTS AND CONTINGENCIES
Severance payment based on term of salary	12 months
Term of health insurance coverage other than change in control event	12 months
Unvested stock options, vesting period, change in control event	12 months
Unvested stock options, exercisable period, change in control event	6 months
Severance payment based on term of salary, change of control event	18 months
Term of health insurance coverage, change in control	18 months

Represents the aggregate annual base salaries.

No definition available.

Name:	rzlt_AggregateAnnualBaseSalaries
Namespace Prefix:	rzlt_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

The line items identify information about the commitments and contingencies.

+ References

No definition available.

+ Details

Name:	rzlt_CommitmentsAndContingenciesLineItems
Namespace Prefix:	rzlt_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

Term of health insurance coverage other than change in control event under employment agreement.

+ References

No definition available.

+ Details

Name:	rzlt_EmploymentAgreementHealthInsuranceCoverageTermOtherThanChangeInControlEvent
Namespace Prefix:	rzlt_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

- Definition

Term of salary for calculation of severance payment other than change in control event under employment agreement.

+ References

No definition available.

+ Details

Name:	rzlt_EmploymentAgreementSeverancePaymentBasedOnTermOfSalaryOtherThanChangeInControlEvent
Namespace Prefix:	rzlt_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

- Definition

Period during which stock options will remain exercisable if either of individuals is terminated outside of a change in control event, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

+ References

No definition available.

+ Details

Name:	rzlt_EmploymentAgreementTerminationExercisablePeriodChangeInControlEvent
Namespace Prefix:	rzlt_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

- Definition

Period during which stock options will remain exercisable if either of individuals is terminated outside of a change in control event and without cause, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

+ References

No definition available.

+ Details

Name:	rzlt_EmploymentAgreementTerminationExercisablePeriodChangeInControlEventAndWithoutCause
Namespace Prefix:	rzlt_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

- Definition

Term of salary for calculation of severance payment on termination of employment agreement due to change of control event.

+ References

No definition available.

+ Details

Name:	rzlt_EmploymentAgreementTerminationSeverancePaymentBasedOnTermOfSalaryChangeOfControlEvent
Namespace Prefix:	rzlt_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

- Definition

Term of health insurance coverage following termination of employment agreement due to change of control event.

+ References

No definition available.

+ Details

Name:	rzlt_EmploymentAgreementTerminationTermOfHealthInsuranceCoverageDueToChangeOfControlEvent
Namespace Prefix:	rzlt_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

- Definition

Period during which unvested stock options will remain exercisable if either of individuals is terminated outside of a change in control event, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

+ References

No definition available.

+ Details

Name:	rzlt_EmploymentAgreementTerminationUnvestedStockOptionsExercisablePeriodChangeInControlEvent
Namespace Prefix:	rzlt_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

- Definition

Period during which unvested stock options will immediately vest if either of individuals is terminated outside of a change in control event, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

+ References

No definition available.

+ Details

Name:	rzlt_EmploymentAgreementTerminationUnvestedStockOptionsVestingPeriodChangeInControlEvent
Namespace Prefix:	rzlt_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

- Definition

Period during which stock options will immediately vest if either of individuals is terminated outside of a change in control event and without cause, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

+ References

No definition available.

+ Details

Name:	rzlt_EmploymentAgreementTerminationVestingPeriodChangeInControlEventAndWithoutCause
Namespace Prefix:	rzlt_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

- Definition

Represents information pertaining to number of employees.

+ References

No definition available.

+ Details

Name:	rzlt_NumberOfEmployees
Namespace Prefix:	rzlt_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	duration

- Definition

Represents information pertaining to number of officers.

+ References

No definition available.

+ Details

Name:	rzlt_NumberOfOfficers
Namespace Prefix:	rzlt_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	duration

- Definition

Amount of discretionary contributions made by an employer to a defined contribution plan.

+ References

No definition available.

+ Details

Name:	us-gaap_DefinedContributionPlanEmployerDiscretionaryContributionAmount
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Percentage employer matches of the employee's percentage contribution matched.

+ References

No definition available.

+ Details

Name:	us-gaap_DefinedContributionPlanEmployerMatchingContributionPercentOfMatch
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Details

Name:	us-gaap_OtherCommitmentsAxis=rzlt_EmploymentAgreementsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	srt_TitleOfIndividualAxis=rzlt_ChiefExecutiveOfficerAndChiefMedicalOfficerMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	srt_RangeAxis=srt_MinimumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	srt_RangeAxis=srt_MaximumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	srt_TitleOfIndividualAxis=rzlt_ChiefMedicalOfficerMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: