<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019e4b2b-c9ac-7fa1-ae34-1aba3f3cbc75,g:45029c0a-2041-4a82-b33b-acd298f57d02-->
<link:linkbase xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xbrldt="http://xbrl.org/2005/xbrldt" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:arcroleRef arcroleURI="http://xbrl.org/int/dim/arcrole/all" xlink:type="simple" xlink:href="http://www.xbrl.org/2005/xbrldt-2005.xsd#all"/>
  <link:arcroleRef arcroleURI="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:type="simple" xlink:href="http://www.xbrl.org/2005/xbrldt-2005.xsd#hypercube-dimension"/>
  <link:arcroleRef arcroleURI="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:type="simple" xlink:href="http://www.xbrl.org/2005/xbrldt-2005.xsd#dimension-default"/>
  <link:arcroleRef arcroleURI="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:type="simple" xlink:href="http://www.xbrl.org/2005/xbrldt-2005.xsd#dimension-domain"/>
  <link:arcroleRef arcroleURI="http://xbrl.org/int/dim/arcrole/domain-member" xlink:type="simple" xlink:href="http://www.xbrl.org/2005/xbrldt-2005.xsd#domain-member"/>
  <link:roleRef roleURI="http://rileypermian.com/role/CONDENSEDCONSOLIDATEDSTATEMENTSOFOPERATIONS" xlink:type="simple" xlink:href="rep-20260630.xsd#CONDENSEDCONSOLIDATEDSTATEMENTSOFOPERATIONS"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/CONDENSEDCONSOLIDATEDSTATEMENTSOFOPERATIONS" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementLineItems_019e4b2b-cc29-7170-9ec3-c417b0b5704d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StatementLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementTable_019e4b2b-cc29-7334-b25a-0672881b5197" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StatementTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_StatementLineItems_019e4b2b-cc29-7170-9ec3-c417b0b5704d" xlink:to="loc_us-gaap_StatementTable_019e4b2b-cc29-7334-b25a-0672881b5197" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ProductOrServiceAxis_019e4b2b-cc29-7001-aa1a-aa629d62d8ad" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ProductOrServiceAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_StatementTable_019e4b2b-cc29-7334-b25a-0672881b5197" xlink:to="loc_srt_ProductOrServiceAxis_019e4b2b-cc29-7001-aa1a-aa629d62d8ad" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ProductsAndServicesDomain_019e4b2b-cc29-7001-aa1a-aa629d62d8ad_default" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ProductsAndServicesDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_srt_ProductOrServiceAxis_019e4b2b-cc29-7001-aa1a-aa629d62d8ad" xlink:to="loc_srt_ProductsAndServicesDomain_019e4b2b-cc29-7001-aa1a-aa629d62d8ad_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ProductsAndServicesDomain_019e4b2b-cc29-7b05-b5e0-779e9e975d8b" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ProductsAndServicesDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_srt_ProductOrServiceAxis_019e4b2b-cc29-7001-aa1a-aa629d62d8ad" xlink:to="loc_srt_ProductsAndServicesDomain_019e4b2b-cc29-7b05-b5e0-779e9e975d8b" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OilAndGasMember_019e4b2b-cc29-7e3b-a6ce-6c5ec80498be" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OilAndGasMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_srt_ProductsAndServicesDomain_019e4b2b-cc29-7b05-b5e0-779e9e975d8b" xlink:to="loc_us-gaap_OilAndGasMember_019e4b2b-cc29-7e3b-a6ce-6c5ec80498be" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenuesAbstract_019e4b2b-cc29-71b1-b483-2b79580d99c9" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RevenuesAbstract"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_StatementLineItems_019e4b2b-cc29-7170-9ec3-c417b0b5704d" xlink:to="loc_us-gaap_RevenuesAbstract_019e4b2b-cc29-71b1-b483-2b79580d99c9" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_019e4b2b-cc29-7a92-b1c1-f0a4d92ce5c8" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_RevenuesAbstract_019e4b2b-cc29-71b1-b483-2b79580d99c9" xlink:to="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_019e4b2b-cc29-7a92-b1c1-f0a4d92ce5c8" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CostsAndExpensesAbstract_019e4b2b-cc29-7a2d-9003-865e8b91d4d1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CostsAndExpensesAbstract"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_StatementLineItems_019e4b2b-cc29-7170-9ec3-c417b0b5704d" xlink:to="loc_us-gaap_CostsAndExpensesAbstract_019e4b2b-cc29-7a2d-9003-865e8b91d4d1" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseExpense_019e4b2b-cc29-72bc-9f45-9ab12a3517a6" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OperatingLeaseExpense"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_CostsAndExpensesAbstract_019e4b2b-cc29-7a2d-9003-865e8b91d4d1" xlink:to="loc_us-gaap_OperatingLeaseExpense_019e4b2b-cc29-72bc-9f45-9ab12a3517a6" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProductionTaxExpense_019e4b2b-cc29-77ac-a4f3-dc9e2f09536a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProductionTaxExpense"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_CostsAndExpensesAbstract_019e4b2b-cc29-7a2d-9003-865e8b91d4d1" xlink:to="loc_us-gaap_ProductionTaxExpense_019e4b2b-cc29-77ac-a4f3-dc9e2f09536a" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ExplorationExpense_019e4b2b-cc29-7afd-8da7-1f776ff3123a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ExplorationExpense"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_CostsAndExpensesAbstract_019e4b2b-cc29-7a2d-9003-865e8b91d4d1" xlink:to="loc_us-gaap_ExplorationExpense_019e4b2b-cc29-7afd-8da7-1f776ff3123a" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DepreciationDepletionAndAmortization_019e4b2b-cc29-7a8a-840b-5fdd7d1c656d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DepreciationDepletionAndAmortization"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_CostsAndExpensesAbstract_019e4b2b-cc29-7a2d-9003-865e8b91d4d1" xlink:to="loc_us-gaap_DepreciationDepletionAndAmortization_019e4b2b-cc29-7a8a-840b-5fdd7d1c656d" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ImpairmentOfOilAndGasProperties_019f36d3-22b3-7c06-937d-1096566f7451" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ImpairmentOfOilAndGasProperties"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_CostsAndExpensesAbstract_019e4b2b-cc29-7a2d-9003-865e8b91d4d1" xlink:to="loc_us-gaap_ImpairmentOfOilAndGasProperties_019f36d3-22b3-7c06-937d-1096566f7451" xlink:type="arc" order="5"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SellingGeneralAndAdministrativeExpenseAbstract_019e4b2b-cc29-753a-b8cf-ee9f68683e9a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SellingGeneralAndAdministrativeExpenseAbstract"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_CostsAndExpensesAbstract_019e4b2b-cc29-7a2d-9003-865e8b91d4d1" xlink:to="loc_us-gaap_SellingGeneralAndAdministrativeExpenseAbstract_019e4b2b-cc29-753a-b8cf-ee9f68683e9a" xlink:type="arc" order="6"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherGeneralAndAdministrativeExpense_019e4b2b-cc29-73c3-8e0d-7f9808081afe" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherGeneralAndAdministrativeExpense"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_SellingGeneralAndAdministrativeExpenseAbstract_019e4b2b-cc29-753a-b8cf-ee9f68683e9a" xlink:to="loc_us-gaap_OtherGeneralAndAdministrativeExpense_019e4b2b-cc29-73c3-8e0d-7f9808081afe" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AllocatedShareBasedCompensationExpense_019e4b2b-cc29-7a55-9226-25c772a4bb61" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AllocatedShareBasedCompensationExpense"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_SellingGeneralAndAdministrativeExpenseAbstract_019e4b2b-cc29-753a-b8cf-ee9f68683e9a" xlink:to="loc_us-gaap_AllocatedShareBasedCompensationExpense_019e4b2b-cc29-7a55-9226-25c772a4bb61" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationAcquisitionRelatedCosts_019f36d4-31af-76a9-91e9-41bad04f7998" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationAcquisitionRelatedCosts"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_SellingGeneralAndAdministrativeExpenseAbstract_019e4b2b-cc29-753a-b8cf-ee9f68683e9a" xlink:to="loc_us-gaap_BusinessCombinationAcquisitionRelatedCosts_019f36d4-31af-76a9-91e9-41bad04f7998" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CostsAndExpenses_019e4b2b-cc29-7804-89d7-68dbb05e42ab" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CostsAndExpenses"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_CostsAndExpensesAbstract_019e4b2b-cc29-7a2d-9003-865e8b91d4d1" xlink:to="loc_us-gaap_CostsAndExpenses_019e4b2b-cc29-7804-89d7-68dbb05e42ab" xlink:type="arc" order="7"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingIncomeLoss_019e4b2b-cc29-76f4-9468-ca15e3f66cad" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OperatingIncomeLoss"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_StatementLineItems_019e4b2b-cc29-7170-9ec3-c417b0b5704d" xlink:to="loc_us-gaap_OperatingIncomeLoss_019e4b2b-cc29-76f4-9468-ca15e3f66cad" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NonoperatingIncomeExpenseAbstract_019e4b2b-cc29-7855-af76-5a9a09cd6a81" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NonoperatingIncomeExpenseAbstract"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_StatementLineItems_019e4b2b-cc29-7170-9ec3-c417b0b5704d" xlink:to="loc_us-gaap_NonoperatingIncomeExpenseAbstract_019e4b2b-cc29-7855-af76-5a9a09cd6a81" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseNonoperating_019e4b2b-cc29-7698-bf3a-54988ad5ec0c" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestExpenseNonoperating"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_NonoperatingIncomeExpenseAbstract_019e4b2b-cc29-7855-af76-5a9a09cd6a81" xlink:to="loc_us-gaap_InterestExpenseNonoperating_019e4b2b-cc29-7698-bf3a-54988ad5ec0c" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GainLossOnDerivativeInstrumentsNetPretax_019e4b2b-cc29-72ba-adcd-c694a884ad53" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_GainLossOnDerivativeInstrumentsNetPretax"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_NonoperatingIncomeExpenseAbstract_019e4b2b-cc29-7855-af76-5a9a09cd6a81" xlink:to="loc_us-gaap_GainLossOnDerivativeInstrumentsNetPretax_019e4b2b-cc29-72ba-adcd-c694a884ad53" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromEquityMethodInvestments_019e4b2b-cc29-7d59-b79d-86c8bc1e73cb" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeLossFromEquityMethodInvestments"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_NonoperatingIncomeExpenseAbstract_019e4b2b-cc29-7855-af76-5a9a09cd6a81" xlink:to="loc_us-gaap_IncomeLossFromEquityMethodInvestments_019e4b2b-cc29-7d59-b79d-86c8bc1e73cb" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_GainLossOnAcquisitionsAndDivestitures_019e4b2b-cc29-725f-be3f-d4327bdf5088" xlink:href="rep-20260630.xsd#rep_GainLossOnAcquisitionsAndDivestitures"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_NonoperatingIncomeExpenseAbstract_019e4b2b-cc29-7855-af76-5a9a09cd6a81" xlink:to="loc_rep_GainLossOnAcquisitionsAndDivestitures_019e4b2b-cc29-725f-be3f-d4327bdf5088" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NonoperatingIncomeExpense_019e4b2b-cc29-72b7-84ab-3b5c7e502497" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NonoperatingIncomeExpense"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_NonoperatingIncomeExpenseAbstract_019e4b2b-cc29-7855-af76-5a9a09cd6a81" xlink:to="loc_us-gaap_NonoperatingIncomeExpense_019e4b2b-cc29-72b7-84ab-3b5c7e502497" xlink:type="arc" order="5"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_019e4b2b-cc29-792c-8d3d-029b66f84aeb" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_StatementLineItems_019e4b2b-cc29-7170-9ec3-c417b0b5704d" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_019e4b2b-cc29-792c-8d3d-029b66f84aeb" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxExpenseBenefit_019e4b2b-cc29-7bee-bc15-6e6247b9499f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_StatementLineItems_019e4b2b-cc29-7170-9ec3-c417b0b5704d" xlink:to="loc_us-gaap_IncomeTaxExpenseBenefit_019e4b2b-cc29-7bee-bc15-6e6247b9499f" xlink:type="arc" order="5"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_019e4b2b-cc29-7aee-9c48-85c350ec66be" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetIncomeLoss"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_StatementLineItems_019e4b2b-cc29-7170-9ec3-c417b0b5704d" xlink:to="loc_us-gaap_NetIncomeLoss_019e4b2b-cc29-7aee-9c48-85c350ec66be" xlink:type="arc" order="6"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EarningsPerShareAbstract_019e4b2b-cc29-78e6-9d62-94e14f8c48c6" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EarningsPerShareAbstract"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_StatementLineItems_019e4b2b-cc29-7170-9ec3-c417b0b5704d" xlink:to="loc_us-gaap_EarningsPerShareAbstract_019e4b2b-cc29-78e6-9d62-94e14f8c48c6" xlink:type="arc" order="7"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EarningsPerShareBasic_019e4b2b-cc29-7e89-9b51-d6c94d287492" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EarningsPerShareBasic"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_EarningsPerShareAbstract_019e4b2b-cc29-78e6-9d62-94e14f8c48c6" xlink:to="loc_us-gaap_EarningsPerShareBasic_019e4b2b-cc29-7e89-9b51-d6c94d287492" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EarningsPerShareDiluted_019e4b2b-cc29-7b63-a627-6b4c57ca01f3" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EarningsPerShareDiluted"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_EarningsPerShareAbstract_019e4b2b-cc29-78e6-9d62-94e14f8c48c6" xlink:to="loc_us-gaap_EarningsPerShareDiluted_019e4b2b-cc29-7b63-a627-6b4c57ca01f3" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingAbstract_019e4b2b-cc29-755f-b205-4e7fc9fdcda1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_WeightedAverageNumberOfSharesOutstandingAbstract"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_StatementLineItems_019e4b2b-cc29-7170-9ec3-c417b0b5704d" xlink:to="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingAbstract_019e4b2b-cc29-755f-b205-4e7fc9fdcda1" xlink:type="arc" order="8"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_019e4b2b-cc29-750d-be52-73f4ede5d665" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_WeightedAverageNumberOfSharesOutstandingBasic"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingAbstract_019e4b2b-cc29-755f-b205-4e7fc9fdcda1" xlink:to="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_019e4b2b-cc29-750d-be52-73f4ede5d665" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_019e4b2b-cc29-7bb6-aed0-13fc7f1dca39" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingAbstract_019e4b2b-cc29-755f-b205-4e7fc9fdcda1" xlink:to="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_019e4b2b-cc29-7bb6-aed0-13fc7f1dca39" xlink:type="arc" order="2"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/CONDENSEDCONSOLIDATEDSTATEMENTSOFCHANGESINSHAREHOLDERSEQUITY" xlink:type="simple" xlink:href="rep-20260630.xsd#CONDENSEDCONSOLIDATEDSTATEMENTSOFCHANGESINSHAREHOLDERSEQUITY"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/CONDENSEDCONSOLIDATEDSTATEMENTSOFCHANGESINSHAREHOLDERSEQUITY" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementLineItems_019e4b2b-cc29-7fe2-8217-435621236d1e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StatementLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementTable_019e4b2b-cc29-7912-a4ce-e47d90a35cfe" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StatementTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_StatementLineItems_019e4b2b-cc29-7fe2-8217-435621236d1e" xlink:to="loc_us-gaap_StatementTable_019e4b2b-cc29-7912-a4ce-e47d90a35cfe" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementEquityComponentsAxis_019e4b2b-cc29-7ab9-b7b8-e0ec8efef06f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StatementEquityComponentsAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_StatementTable_019e4b2b-cc29-7912-a4ce-e47d90a35cfe" xlink:to="loc_us-gaap_StatementEquityComponentsAxis_019e4b2b-cc29-7ab9-b7b8-e0ec8efef06f" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityComponentDomain_019e4b2b-cc29-7ab9-b7b8-e0ec8efef06f_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EquityComponentDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_StatementEquityComponentsAxis_019e4b2b-cc29-7ab9-b7b8-e0ec8efef06f" xlink:to="loc_us-gaap_EquityComponentDomain_019e4b2b-cc29-7ab9-b7b8-e0ec8efef06f_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityComponentDomain_019e4b2b-cc29-7fbd-9e5f-f03bd7cc7399" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EquityComponentDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_StatementEquityComponentsAxis_019e4b2b-cc29-7ab9-b7b8-e0ec8efef06f" xlink:to="loc_us-gaap_EquityComponentDomain_019e4b2b-cc29-7fbd-9e5f-f03bd7cc7399" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockMember_019e4b2b-cc29-77e7-ab42-90afb7233cda" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonStockMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_EquityComponentDomain_019e4b2b-cc29-7fbd-9e5f-f03bd7cc7399" xlink:to="loc_us-gaap_CommonStockMember_019e4b2b-cc29-77e7-ab42-90afb7233cda" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdditionalPaidInCapitalMember_019e4b2b-cc29-7227-a585-9cec152a355d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AdditionalPaidInCapitalMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_EquityComponentDomain_019e4b2b-cc29-7fbd-9e5f-f03bd7cc7399" xlink:to="loc_us-gaap_AdditionalPaidInCapitalMember_019e4b2b-cc29-7227-a585-9cec152a355d" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RetainedEarningsMember_019e4b2b-cc29-7037-bffd-2507bde5762e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RetainedEarningsMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_EquityComponentDomain_019e4b2b-cc29-7fbd-9e5f-f03bd7cc7399" xlink:to="loc_us-gaap_RetainedEarningsMember_019e4b2b-cc29-7037-bffd-2507bde5762e" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_019e4b2b-cc29-7cfc-aa08-2cc5c203ca36" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInStockholdersEquityRollForward"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_StatementLineItems_019e4b2b-cc29-7fe2-8217-435621236d1e" xlink:to="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_019e4b2b-cc29-7cfc-aa08-2cc5c203ca36" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockSharesOutstanding_019e4b2b-cc29-7746-81ef-5cdca2c19867" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonStockSharesOutstanding"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_019e4b2b-cc29-7cfc-aa08-2cc5c203ca36" xlink:to="loc_us-gaap_CommonStockSharesOutstanding_019e4b2b-cc29-7746-81ef-5cdca2c19867" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_019e4b2b-cc29-7fe7-b4ec-9b97338627f6" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockholdersEquity"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_019e4b2b-cc29-7cfc-aa08-2cc5c203ca36" xlink:to="loc_us-gaap_StockholdersEquity_019e4b2b-cc29-7fe7-b4ec-9b97338627f6" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation_019e4b2b-cc29-7dc6-b2a9-10727c1007d3" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_019e4b2b-cc29-7cfc-aa08-2cc5c203ca36" xlink:to="loc_us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation_019e4b2b-cc29-7dc6-b2a9-10727c1007d3" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation_019e4b2b-cc29-75fc-a4b2-520a5348adf4" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_019e4b2b-cc29-7cfc-aa08-2cc5c203ca36" xlink:to="loc_us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation_019e4b2b-cc29-75fc-a4b2-520a5348adf4" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SharesPaidForTaxWithholdingForShareBasedCompensation_019e4b2b-cc29-763c-8296-95e9ea4561f1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SharesPaidForTaxWithholdingForShareBasedCompensation"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_019e4b2b-cc29-7cfc-aa08-2cc5c203ca36" xlink:to="loc_us-gaap_SharesPaidForTaxWithholdingForShareBasedCompensation_019e4b2b-cc29-763c-8296-95e9ea4561f1" xlink:type="arc" order="5"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdjustmentsRelatedToTaxWithholdingForShareBasedCompensation_019e4b2b-cc29-71b4-88a3-a9b08ac63b12" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AdjustmentsRelatedToTaxWithholdingForShareBasedCompensation"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_019e4b2b-cc29-7cfc-aa08-2cc5c203ca36" xlink:to="loc_us-gaap_AdjustmentsRelatedToTaxWithholdingForShareBasedCompensation_019e4b2b-cc29-71b4-88a3-a9b08ac63b12" xlink:type="arc" order="6"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockRepurchasedAndRetiredDuringPeriodShares_019e4b2b-cc29-7b1d-9542-c5dd22adb18f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockRepurchasedAndRetiredDuringPeriodShares"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_019e4b2b-cc29-7cfc-aa08-2cc5c203ca36" xlink:to="loc_us-gaap_StockRepurchasedAndRetiredDuringPeriodShares_019e4b2b-cc29-7b1d-9542-c5dd22adb18f" xlink:type="arc" order="7"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockRepurchasedAndRetiredDuringPeriodValue_019e4b2b-cc29-71cc-b264-b0c50c2f1357" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockRepurchasedAndRetiredDuringPeriodValue"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_019e4b2b-cc29-7cfc-aa08-2cc5c203ca36" xlink:to="loc_us-gaap_StockRepurchasedAndRetiredDuringPeriodValue_019e4b2b-cc29-71cc-b264-b0c50c2f1357" xlink:type="arc" order="8"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DividendsCommonStockCash_019e4b2b-cc29-7a1c-b829-9acca31ea476" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DividendsCommonStockCash"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_019e4b2b-cc29-7cfc-aa08-2cc5c203ca36" xlink:to="loc_us-gaap_DividendsCommonStockCash_019e4b2b-cc29-7a1c-b829-9acca31ea476" xlink:type="arc" order="9"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_019e4b2b-cc29-78c0-99f3-358a1487303b" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetIncomeLoss"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_019e4b2b-cc29-7cfc-aa08-2cc5c203ca36" xlink:to="loc_us-gaap_NetIncomeLoss_019e4b2b-cc29-78c0-99f3-358a1487303b" xlink:type="arc" order="10"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockSharesOutstanding_019e4b2b-cc29-7853-bf89-3f42239de3ae" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonStockSharesOutstanding"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_019e4b2b-cc29-7bb2-a1e1-42fabba868e0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockholdersEquity"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/SummaryofSignificantAccountingPoliciesScheduleofOtherPropertyandEquipmentDetails" xlink:type="simple" xlink:href="rep-20260630.xsd#SummaryofSignificantAccountingPoliciesScheduleofOtherPropertyandEquipmentDetails"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/SummaryofSignificantAccountingPoliciesScheduleofOtherPropertyandEquipmentDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentLineItems_019e4b2b-cc29-7d82-8e1c-6ede3e2fe76b" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PropertyPlantAndEquipmentLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfPropertyPlantAndEquipmentTable_019e4b2b-cc29-773e-aca4-c039146180c0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfPropertyPlantAndEquipmentTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentLineItems_019e4b2b-cc29-7d82-8e1c-6ede3e2fe76b" xlink:to="loc_us-gaap_ScheduleOfPropertyPlantAndEquipmentTable_019e4b2b-cc29-773e-aca4-c039146180c0" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentByTypeAxis_019e4b2b-cc29-7ef3-8f03-7a8afb0186f3" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PropertyPlantAndEquipmentByTypeAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_ScheduleOfPropertyPlantAndEquipmentTable_019e4b2b-cc29-773e-aca4-c039146180c0" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentByTypeAxis_019e4b2b-cc29-7ef3-8f03-7a8afb0186f3" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentTypeDomain_019e4b2b-cc29-7ef3-8f03-7a8afb0186f3_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PropertyPlantAndEquipmentTypeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentByTypeAxis_019e4b2b-cc29-7ef3-8f03-7a8afb0186f3" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentTypeDomain_019e4b2b-cc29-7ef3-8f03-7a8afb0186f3_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentTypeDomain_019e4b2b-cc29-7ab9-85f0-b3cfe234cf6a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PropertyPlantAndEquipmentTypeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentByTypeAxis_019e4b2b-cc29-7ef3-8f03-7a8afb0186f3" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentTypeDomain_019e4b2b-cc29-7ab9-85f0-b3cfe234cf6a" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_FurnitureFixturesAndOtherMember_019e4b2b-cc29-71f2-a243-2ff1ba138903" xlink:href="rep-20260630.xsd#rep_FurnitureFixturesAndOtherMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentTypeDomain_019e4b2b-cc29-7ab9-85f0-b3cfe234cf6a" xlink:to="loc_rep_FurnitureFixturesAndOtherMember_019e4b2b-cc29-71f2-a243-2ff1ba138903" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LandMember_019e4b2b-cc29-74f5-9713-b3e80bae6702" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LandMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentTypeDomain_019e4b2b-cc29-7ab9-85f0-b3cfe234cf6a" xlink:to="loc_us-gaap_LandMember_019e4b2b-cc29-74f5-9713-b3e80bae6702" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentGross_019e4b2b-cc29-7b02-91d0-ae719691ee09" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PropertyPlantAndEquipmentGross"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentLineItems_019e4b2b-cc29-7d82-8e1c-6ede3e2fe76b" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentGross_019e4b2b-cc29-7b02-91d0-ae719691ee09" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_019e4b2b-cc29-7122-84aa-05f42470c0fe" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentLineItems_019e4b2b-cc29-7d82-8e1c-6ede3e2fe76b" xlink:to="loc_us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_019e4b2b-cc29-7122-84aa-05f42470c0fe" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentNet_019e4b2b-cc29-7e5c-a71c-f38c21906f42" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PropertyPlantAndEquipmentNet"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentLineItems_019e4b2b-cc29-7d82-8e1c-6ede3e2fe76b" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentNet_019e4b2b-cc29-7e5c-a71c-f38c21906f42" xlink:type="arc" order="2"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/SummaryofSignificantAccountingPoliciesScheduleofRevenueDetails" xlink:type="simple" xlink:href="rep-20260630.xsd#SummaryofSignificantAccountingPoliciesScheduleofRevenueDetails"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/SummaryofSignificantAccountingPoliciesScheduleofRevenueDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisaggregationOfRevenueLineItems_019e4b2b-cc29-76e9-babe-5ac288e7741e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DisaggregationOfRevenueLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisaggregationOfRevenueTable_019e4b2b-cc29-7933-91b3-4f93e608a1e2" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DisaggregationOfRevenueTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_DisaggregationOfRevenueLineItems_019e4b2b-cc29-76e9-babe-5ac288e7741e" xlink:to="loc_us-gaap_DisaggregationOfRevenueTable_019e4b2b-cc29-7933-91b3-4f93e608a1e2" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ProductOrServiceAxis_019e4b2b-cc29-7fdf-89db-606619967279" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ProductOrServiceAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_DisaggregationOfRevenueTable_019e4b2b-cc29-7933-91b3-4f93e608a1e2" xlink:to="loc_srt_ProductOrServiceAxis_019e4b2b-cc29-7fdf-89db-606619967279" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ProductsAndServicesDomain_019e4b2b-cc29-7fdf-89db-606619967279_default" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ProductsAndServicesDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_srt_ProductOrServiceAxis_019e4b2b-cc29-7fdf-89db-606619967279" xlink:to="loc_srt_ProductsAndServicesDomain_019e4b2b-cc29-7fdf-89db-606619967279_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ProductsAndServicesDomain_019e4b2b-cc29-7937-b585-315096d0970c" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ProductsAndServicesDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_srt_ProductOrServiceAxis_019e4b2b-cc29-7fdf-89db-606619967279" xlink:to="loc_srt_ProductsAndServicesDomain_019e4b2b-cc29-7937-b585-315096d0970c" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OilAndGasMember_019e4b2b-cc29-7292-b1ed-e7db0f71e9ae" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OilAndGasMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_srt_ProductsAndServicesDomain_019e4b2b-cc29-7937-b585-315096d0970c" xlink:to="loc_us-gaap_OilAndGasMember_019e4b2b-cc29-7292-b1ed-e7db0f71e9ae" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_OilReservesMember_019e4b2b-cc29-79f6-8243-e9a94756c096" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_OilReservesMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_OilAndGasMember_019e4b2b-cc29-7292-b1ed-e7db0f71e9ae" xlink:to="loc_srt_OilReservesMember_019e4b2b-cc29-79f6-8243-e9a94756c096" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_NaturalGasReservesMember_019e4b2b-cc29-7e91-97e2-be2f9f225c84" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_NaturalGasReservesMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_OilAndGasMember_019e4b2b-cc29-7292-b1ed-e7db0f71e9ae" xlink:to="loc_srt_NaturalGasReservesMember_019e4b2b-cc29-7e91-97e2-be2f9f225c84" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_NaturalGasLiquidsReservesMember_019e4b2b-cc29-73e9-9029-a908c5e821c2" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_NaturalGasLiquidsReservesMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_OilAndGasMember_019e4b2b-cc29-7292-b1ed-e7db0f71e9ae" xlink:to="loc_srt_NaturalGasLiquidsReservesMember_019e4b2b-cc29-73e9-9029-a908c5e821c2" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_019e4b2b-cc29-79cc-a702-79f0e0b2b575" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DisaggregationOfRevenueLineItems_019e4b2b-cc29-76e9-babe-5ac288e7741e" xlink:to="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_019e4b2b-cc29-79cc-a702-79f0e0b2b575" xlink:type="arc" order="0"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/AcquisitionsandDivestituresNarrativeDetails" xlink:type="simple" xlink:href="rep-20260630.xsd#AcquisitionsandDivestituresNarrativeDetails"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/AcquisitionsandDivestituresNarrativeDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionLineItems_019e4b2b-cc29-7ccd-b338-d9ec89f8f9bc" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_019e4b2b-cc29-7e87-ae46-dbd48b86bceb" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_019e4b2b-cc29-7ccd-b338-d9ec89f8f9bc" xlink:to="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_019e4b2b-cc29-7e87-ae46-dbd48b86bceb" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAxis_019e4b2b-cc29-7075-98fa-8d87730f0b1b" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_019e4b2b-cc29-7e87-ae46-dbd48b86bceb" xlink:to="loc_us-gaap_BusinessAcquisitionAxis_019e4b2b-cc29-7075-98fa-8d87730f0b1b" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-7075-98fa-8d87730f0b1b_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_019e4b2b-cc29-7075-98fa-8d87730f0b1b" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-7075-98fa-8d87730f0b1b_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-78d3-89ae-ed0f5b546305" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_019e4b2b-cc29-7075-98fa-8d87730f0b1b" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-78d3-89ae-ed0f5b546305" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_SilverbackAcquisitionMember_019e4b2b-cc29-7e7b-a22c-3a14a712be30" xlink:href="rep-20260630.xsd#rep_SilverbackAcquisitionMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-78d3-89ae-ed0f5b546305" xlink:to="loc_rep_SilverbackAcquisitionMember_019e4b2b-cc29-7e7b-a22c-3a14a712be30" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContingentConsiderationByTypeAxis_019e4b2b-cc29-7946-94c3-2b61986db1c9" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ContingentConsiderationByTypeAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_019e4b2b-cc29-7e87-ae46-dbd48b86bceb" xlink:to="loc_us-gaap_ContingentConsiderationByTypeAxis_019e4b2b-cc29-7946-94c3-2b61986db1c9" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContingentConsiderationTypeDomain_019e4b2b-cc29-7946-94c3-2b61986db1c9_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ContingentConsiderationTypeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_ContingentConsiderationByTypeAxis_019e4b2b-cc29-7946-94c3-2b61986db1c9" xlink:to="loc_us-gaap_ContingentConsiderationTypeDomain_019e4b2b-cc29-7946-94c3-2b61986db1c9_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContingentConsiderationTypeDomain_019e4b2b-cc29-74de-9cc1-bab8a848ee39" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ContingentConsiderationTypeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_ContingentConsiderationByTypeAxis_019e4b2b-cc29-7946-94c3-2b61986db1c9" xlink:to="loc_us-gaap_ContingentConsiderationTypeDomain_019e4b2b-cc29-74de-9cc1-bab8a848ee39" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_EscrowForSellersMember_019e4b2b-cc29-7a87-b5ae-b6dc572b1be3" xlink:href="rep-20260630.xsd#rep_EscrowForSellersMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ContingentConsiderationTypeDomain_019e4b2b-cc29-74de-9cc1-bab8a848ee39" xlink:to="loc_rep_EscrowForSellersMember_019e4b2b-cc29-7a87-b5ae-b6dc572b1be3" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_EscrowForTitleDefectsMember_019e4b2b-cc29-76b5-aa48-39e75553c92a" xlink:href="rep-20260630.xsd#rep_EscrowForTitleDefectsMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ContingentConsiderationTypeDomain_019e4b2b-cc29-74de-9cc1-bab8a848ee39" xlink:to="loc_rep_EscrowForTitleDefectsMember_019e4b2b-cc29-76b5-aa48-39e75553c92a" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeAxis_019e4b2b-cc29-7510-8e0a-9d734a215e2d" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RangeAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_019e4b2b-cc29-7e87-ae46-dbd48b86bceb" xlink:to="loc_srt_RangeAxis_019e4b2b-cc29-7510-8e0a-9d734a215e2d" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeMember_019e4b2b-cc29-7510-8e0a-9d734a215e2d_default" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RangeMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_srt_RangeAxis_019e4b2b-cc29-7510-8e0a-9d734a215e2d" xlink:to="loc_srt_RangeMember_019e4b2b-cc29-7510-8e0a-9d734a215e2d_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeMember_019e4b2b-cc29-7d2b-a0b5-503f843a65ab" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RangeMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_srt_RangeAxis_019e4b2b-cc29-7510-8e0a-9d734a215e2d" xlink:to="loc_srt_RangeMember_019e4b2b-cc29-7d2b-a0b5-503f843a65ab" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MinimumMember_019e4b2b-cc29-7996-805a-8aec677b7ef6" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_MinimumMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_srt_RangeMember_019e4b2b-cc29-7d2b-a0b5-503f843a65ab" xlink:to="loc_srt_MinimumMember_019e4b2b-cc29-7996-805a-8aec677b7ef6" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MaximumMember_019e4b2b-cc29-798a-b028-95e2d49e7412" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_MaximumMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_srt_RangeMember_019e4b2b-cc29-7d2b-a0b5-503f843a65ab" xlink:to="loc_srt_MaximumMember_019e4b2b-cc29-798a-b028-95e2d49e7412" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_WeightedAverageMember_019e4b2b-cc29-78ea-94bd-591871c07719" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_WeightedAverageMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_srt_RangeMember_019e4b2b-cc29-7d2b-a0b5-503f843a65ab" xlink:to="loc_srt_WeightedAverageMember_019e4b2b-cc29-78ea-94bd-591871c07719" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeAxis_019fae7c-4f10-7612-9c05-a938630614fb" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubsequentEventTypeAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_019e4b2b-cc29-7e87-ae46-dbd48b86bceb" xlink:to="loc_us-gaap_SubsequentEventTypeAxis_019fae7c-4f10-7612-9c05-a938630614fb" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeDomain_019fae7c-4f10-7612-9c05-a938630614fb_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubsequentEventTypeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_SubsequentEventTypeAxis_019fae7c-4f10-7612-9c05-a938630614fb" xlink:to="loc_us-gaap_SubsequentEventTypeDomain_019fae7c-4f10-7612-9c05-a938630614fb_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeDomain_019fae7c-4f10-7624-92f0-55825e26c8b4" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubsequentEventTypeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_SubsequentEventTypeAxis_019fae7c-4f10-7612-9c05-a938630614fb" xlink:to="loc_us-gaap_SubsequentEventTypeDomain_019fae7c-4f10-7624-92f0-55825e26c8b4" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventMember_019fae7c-6c07-7f03-9b10-bac23ad998d9" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubsequentEventMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_SubsequentEventTypeDomain_019fae7c-4f10-7624-92f0-55825e26c8b4" xlink:to="loc_us-gaap_SubsequentEventMember_019fae7c-6c07-7f03-9b10-bac23ad998d9" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionPercentageOfVotingInterestsAcquired_019e4b2b-cc29-7799-a244-b1d364d7b5a0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionPercentageOfVotingInterestsAcquired"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_019e4b2b-cc29-7ccd-b338-d9ec89f8f9bc" xlink:to="loc_us-gaap_BusinessAcquisitionPercentageOfVotingInterestsAcquired_019e4b2b-cc29-7799-a244-b1d364d7b5a0" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationConsiderationTransferred1_019e4b2b-cc29-7c49-9179-6dfb046ed864" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationConsiderationTransferred1"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_019e4b2b-cc29-7ccd-b338-d9ec89f8f9bc" xlink:to="loc_us-gaap_BusinessCombinationConsiderationTransferred1_019e4b2b-cc29-7c49-9179-6dfb046ed864" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquireBusinessesGross_019e4b2b-cc29-7695-9216-576afb827d63" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsToAcquireBusinessesGross"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_019e4b2b-cc29-7ccd-b338-d9ec89f8f9bc" xlink:to="loc_us-gaap_PaymentsToAcquireBusinessesGross_019e4b2b-cc29-7695-9216-576afb827d63" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationContingentConsiderationLiability_019e4b2b-cc29-7fba-9afd-0ca16f8ae453" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationContingentConsiderationLiability"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_019e4b2b-cc29-7ccd-b338-d9ec89f8f9bc" xlink:to="loc_us-gaap_BusinessCombinationContingentConsiderationLiability_019e4b2b-cc29-7fba-9afd-0ca16f8ae453" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EscrowDeposit_019e4b2b-cc29-7d1b-94ef-8e1379c9feda" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EscrowDeposit"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_019e4b2b-cc29-7ccd-b338-d9ec89f8f9bc" xlink:to="loc_us-gaap_EscrowDeposit_019e4b2b-cc29-7d1b-94ef-8e1379c9feda" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_BusinessCombinationConsiderationReturnedAsEscrowDeposit_019e4b2b-cc29-7f14-86c9-8b6e9322540a" xlink:href="rep-20260630.xsd#rep_BusinessCombinationConsiderationReturnedAsEscrowDeposit"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_019e4b2b-cc29-7ccd-b338-d9ec89f8f9bc" xlink:to="loc_rep_BusinessCombinationConsiderationReturnedAsEscrowDeposit_019e4b2b-cc29-7f14-86c9-8b6e9322540a" xlink:type="arc" order="5"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_BusinessCombinationConsiderationPaidToSellersAsEscrowDeposit_019e4b2b-cc29-7f1a-b0a1-a4ec4cc084d2" xlink:href="rep-20260630.xsd#rep_BusinessCombinationConsiderationPaidToSellersAsEscrowDeposit"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_019e4b2b-cc29-7ccd-b338-d9ec89f8f9bc" xlink:to="loc_rep_BusinessCombinationConsiderationPaidToSellersAsEscrowDeposit_019e4b2b-cc29-7f1a-b0a1-a4ec4cc084d2" xlink:type="arc" order="6"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_BusinessCombinationEscrowDepositConsideration_019e4b2b-cc29-7723-b54a-f40f708be5d9" xlink:href="rep-20260630.xsd#rep_BusinessCombinationEscrowDepositConsideration"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_019e4b2b-cc29-7ccd-b338-d9ec89f8f9bc" xlink:to="loc_rep_BusinessCombinationEscrowDepositConsideration_019e4b2b-cc29-7723-b54a-f40f708be5d9" xlink:type="arc" order="7"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_BusinessCombinationContingentConsiderationLiabilityQuarterlyPayment_019e4b2b-cc29-7b70-be92-6ce8dbaed4bb" xlink:href="rep-20260630.xsd#rep_BusinessCombinationContingentConsiderationLiabilityQuarterlyPayment"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_019e4b2b-cc29-7ccd-b338-d9ec89f8f9bc" xlink:to="loc_rep_BusinessCombinationContingentConsiderationLiabilityQuarterlyPayment_019e4b2b-cc29-7b70-be92-6ce8dbaed4bb" xlink:type="arc" order="8"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_BusinessCombinationContingentConsiderationThresholdPricePerBarrel_019e4b2b-cc29-77e9-b33b-87c38d90422d" xlink:href="rep-20260630.xsd#rep_BusinessCombinationContingentConsiderationThresholdPricePerBarrel"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_019e4b2b-cc29-7ccd-b338-d9ec89f8f9bc" xlink:to="loc_rep_BusinessCombinationContingentConsiderationThresholdPricePerBarrel_019e4b2b-cc29-77e9-b33b-87c38d90422d" xlink:type="arc" order="9"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_GainLossOnEarnoutLiabilityPayments_019e4b2b-cc29-75be-aec4-5dfd77443a19" xlink:href="rep-20260630.xsd#rep_GainLossOnEarnoutLiabilityPayments"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_019e4b2b-cc29-7ccd-b338-d9ec89f8f9bc" xlink:to="loc_rep_GainLossOnEarnoutLiabilityPayments_019e4b2b-cc29-75be-aec4-5dfd77443a19" xlink:type="arc" order="10"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationContingentConsiderationArrangementsChangeInAmountOfContingentConsiderationLiability1_019fc82d-e4f1-777e-af79-a6482f8e1362" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationContingentConsiderationArrangementsChangeInAmountOfContingentConsiderationLiability1"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_019e4b2b-cc29-7ccd-b338-d9ec89f8f9bc" xlink:to="loc_us-gaap_BusinessCombinationContingentConsiderationArrangementsChangeInAmountOfContingentConsiderationLiability1_019fc82d-e4f1-777e-af79-a6482f8e1362" xlink:type="arc" order="11"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_BusinessCombinationContingentConsiderationLiabilityPayment_019e4b2b-cc29-7421-a1b0-49bfe3c4b15c" xlink:href="rep-20260630.xsd#rep_BusinessCombinationContingentConsiderationLiabilityPayment"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_019e4b2b-cc29-7ccd-b338-d9ec89f8f9bc" xlink:to="loc_rep_BusinessCombinationContingentConsiderationLiabilityPayment_019e4b2b-cc29-7421-a1b0-49bfe3c4b15c" xlink:type="arc" order="12"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationProFormaInformationRevenueOfAcquireeSinceAcquisitionDateActual_019e4b2b-cc29-7dbf-a6b0-279ff55c140d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationProFormaInformationRevenueOfAcquireeSinceAcquisitionDateActual"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_019e4b2b-cc29-7ccd-b338-d9ec89f8f9bc" xlink:to="loc_us-gaap_BusinessCombinationProFormaInformationRevenueOfAcquireeSinceAcquisitionDateActual_019e4b2b-cc29-7dbf-a6b0-279ff55c140d" xlink:type="arc" order="13"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationProFormaInformationEarningsOrLossOfAcquireeSinceAcquisitionDateActual_019e4b2b-cc29-7821-b391-647be8362ae0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationProFormaInformationEarningsOrLossOfAcquireeSinceAcquisitionDateActual"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_019e4b2b-cc29-7ccd-b338-d9ec89f8f9bc" xlink:to="loc_us-gaap_BusinessCombinationProFormaInformationEarningsOrLossOfAcquireeSinceAcquisitionDateActual_019e4b2b-cc29-7821-b391-647be8362ae0" xlink:type="arc" order="14"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_BusinessCombinationProFormaInformationTaxRate_019e4b2b-cc29-784a-a490-01ef389b9260" xlink:href="rep-20260630.xsd#rep_BusinessCombinationProFormaInformationTaxRate"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_019e4b2b-cc29-7ccd-b338-d9ec89f8f9bc" xlink:to="loc_rep_BusinessCombinationProFormaInformationTaxRate_019e4b2b-cc29-784a-a490-01ef389b9260" xlink:type="arc" order="15"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/AcquisitionsandDivestituresScheduleofRecognizedIdentifiedAssetsAcquiredandLiabilitiesAssumedDetails" xlink:type="simple" xlink:href="rep-20260630.xsd#AcquisitionsandDivestituresScheduleofRecognizedIdentifiedAssetsAcquiredandLiabilitiesAssumedDetails"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/AcquisitionsandDivestituresScheduleofRecognizedIdentifiedAssetsAcquiredandLiabilitiesAssumedDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionLineItems_019e4b2b-cc29-76b9-979b-f19a835d30db" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_019e4b2b-cc29-709c-8e13-f079f7db94e1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_019e4b2b-cc29-76b9-979b-f19a835d30db" xlink:to="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_019e4b2b-cc29-709c-8e13-f079f7db94e1" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAxis_019e4b2b-cc29-72a4-b88c-30cf4201684f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_019e4b2b-cc29-709c-8e13-f079f7db94e1" xlink:to="loc_us-gaap_BusinessAcquisitionAxis_019e4b2b-cc29-72a4-b88c-30cf4201684f" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-72a4-b88c-30cf4201684f_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_019e4b2b-cc29-72a4-b88c-30cf4201684f" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-72a4-b88c-30cf4201684f_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-710a-b134-a755780b5c56" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_019e4b2b-cc29-72a4-b88c-30cf4201684f" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-710a-b134-a755780b5c56" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_SilverbackAcquisitionMember_019e4b2b-cc29-7f3a-b95d-84dbf9434550" xlink:href="rep-20260630.xsd#rep_SilverbackAcquisitionMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-710a-b134-a755780b5c56" xlink:to="loc_rep_SilverbackAcquisitionMember_019e4b2b-cc29-7f3a-b95d-84dbf9434550" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationConsiderationTransferredAbstract_019e4b2b-cc29-7cf4-a23d-292bc70888ef" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationConsiderationTransferredAbstract"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_019e4b2b-cc29-76b9-979b-f19a835d30db" xlink:to="loc_us-gaap_BusinessCombinationConsiderationTransferredAbstract_019e4b2b-cc29-7cf4-a23d-292bc70888ef" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquireBusinessesGross_019e4b2b-cc29-7181-adc3-fa5253647afc" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsToAcquireBusinessesGross"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessCombinationConsiderationTransferredAbstract_019e4b2b-cc29-7cf4-a23d-292bc70888ef" xlink:to="loc_us-gaap_PaymentsToAcquireBusinessesGross_019e4b2b-cc29-7181-adc3-fa5253647afc" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_BusinessCombinationContingentConsiderationLiabilityEarnoutPayment_019e4b2b-cc29-7641-8454-c40eb767106c" xlink:href="rep-20260630.xsd#rep_BusinessCombinationContingentConsiderationLiabilityEarnoutPayment"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessCombinationConsiderationTransferredAbstract_019e4b2b-cc29-7cf4-a23d-292bc70888ef" xlink:to="loc_rep_BusinessCombinationContingentConsiderationLiabilityEarnoutPayment_019e4b2b-cc29-7641-8454-c40eb767106c" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationConsiderationTransferred1_019e4b2b-cc29-7e94-bab7-475fe928ed10" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationConsiderationTransferred1"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessCombinationConsiderationTransferredAbstract_019e4b2b-cc29-7cf4-a23d-292bc70888ef" xlink:to="loc_us-gaap_BusinessCombinationConsiderationTransferred1_019e4b2b-cc29-7e94-bab7-475fe928ed10" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract_019e4b2b-cc29-765f-94ef-c07fdead7ac1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_019e4b2b-cc29-76b9-979b-f19a835d30db" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract_019e4b2b-cc29-765f-94ef-c07fdead7ac1" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents_019e4b2b-cc29-79a1-bb25-7c7a5d08310a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract_019e4b2b-cc29-765f-94ef-c07fdead7ac1" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents_019e4b2b-cc29-79a1-bb25-7c7a5d08310a" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables_019e4b2b-cc29-7cc6-9b17-3345daf9a5b0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract_019e4b2b-cc29-765f-94ef-c07fdead7ac1" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables_019e4b2b-cc29-7cc6-9b17-3345daf9a5b0" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsPrepaidExpenseAndOtherAssets_019e4b2b-cc29-7116-bff3-7b0e98b0226b" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsPrepaidExpenseAndOtherAssets"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract_019e4b2b-cc29-765f-94ef-c07fdead7ac1" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsPrepaidExpenseAndOtherAssets_019e4b2b-cc29-7116-bff3-7b0e98b0226b" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedInventory_019e4b2b-cc29-7306-8466-9ea87608246d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedInventory"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract_019e4b2b-cc29-765f-94ef-c07fdead7ac1" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedInventory_019e4b2b-cc29-7306-8466-9ea87608246d" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_BusinessCombinationRecognizedAssetAcquiredDerivativeAssetCurrent_019e4b2b-cc29-73ca-86c1-e8a78eb1860a" xlink:href="rep-20260630.xsd#rep_BusinessCombinationRecognizedAssetAcquiredDerivativeAssetCurrent"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract_019e4b2b-cc29-765f-94ef-c07fdead7ac1" xlink:to="loc_rep_BusinessCombinationRecognizedAssetAcquiredDerivativeAssetCurrent_019e4b2b-cc29-73ca-86c1-e8a78eb1860a" xlink:type="arc" order="5"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_BusinessCombinationRecognizedAssetAcquiredOilAndGasSuccessfulEffortsMethodPropertyAndEquipmentAfterAccumulatedDepreciationDepletionAmortizationAndImpairment_019e4b2b-cc29-7fea-a45c-dd9f0cb513b7" xlink:href="rep-20260630.xsd#rep_BusinessCombinationRecognizedAssetAcquiredOilAndGasSuccessfulEffortsMethodPropertyAndEquipmentAfterAccumulatedDepreciationDepletionAmortizationAndImpairment"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract_019e4b2b-cc29-765f-94ef-c07fdead7ac1" xlink:to="loc_rep_BusinessCombinationRecognizedAssetAcquiredOilAndGasSuccessfulEffortsMethodPropertyAndEquipmentAfterAccumulatedDepreciationDepletionAmortizationAndImpairment_019e4b2b-cc29-7fea-a45c-dd9f0cb513b7" xlink:type="arc" order="6"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment_019e4b2b-cc29-739e-adf4-0e139ebfa82f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract_019e4b2b-cc29-765f-94ef-c07fdead7ac1" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment_019e4b2b-cc29-739e-adf4-0e139ebfa82f" xlink:type="arc" order="7"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets_019e4b2b-cc29-7c92-8fcb-24cf000ecbb9" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract_019e4b2b-cc29-765f-94ef-c07fdead7ac1" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets_019e4b2b-cc29-7c92-8fcb-24cf000ecbb9" xlink:type="arc" order="8"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets_019e4b2b-cc29-7d3e-a70a-167f1a281a98" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract_019e4b2b-cc29-765f-94ef-c07fdead7ac1" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets_019e4b2b-cc29-7d3e-a70a-167f1a281a98" xlink:type="arc" order="9"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract_019e4b2b-cc29-7969-b7e7-8d0863abe23f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_019e4b2b-cc29-76b9-979b-f19a835d30db" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract_019e4b2b-cc29-7969-b7e7-8d0863abe23f" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccountsPayable_019e4b2b-cc29-772b-a30b-db8de79bde9a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccountsPayable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract_019e4b2b-cc29-7969-b7e7-8d0863abe23f" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccountsPayable_019e4b2b-cc29-772b-a30b-db8de79bde9a" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_BusinessCombinationRecognizedLiabilityAssumedAccruedLiabilitiesCurrent_019e4b2b-cc29-7028-a944-cdb931e9f10d" xlink:href="rep-20260630.xsd#rep_BusinessCombinationRecognizedLiabilityAssumedAccruedLiabilitiesCurrent"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract_019e4b2b-cc29-7969-b7e7-8d0863abe23f" xlink:to="loc_rep_BusinessCombinationRecognizedLiabilityAssumedAccruedLiabilitiesCurrent_019e4b2b-cc29-7028-a944-cdb931e9f10d" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesOther_019e4b2b-cc29-7ce2-9d4e-9cdbf9f0834e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesOther"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract_019e4b2b-cc29-7969-b7e7-8d0863abe23f" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesOther_019e4b2b-cc29-7ce2-9d4e-9cdbf9f0834e" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_BusinessCombinationRecognizedLiabilityAssumedAssetRetirementObligationsNoncurrent_019e4b2b-cc29-7832-81ee-abdb6daf1291" xlink:href="rep-20260630.xsd#rep_BusinessCombinationRecognizedLiabilityAssumedAssetRetirementObligationsNoncurrent"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract_019e4b2b-cc29-7969-b7e7-8d0863abe23f" xlink:to="loc_rep_BusinessCombinationRecognizedLiabilityAssumedAssetRetirementObligationsNoncurrent_019e4b2b-cc29-7832-81ee-abdb6daf1291" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities_019e4b2b-cc29-7b46-ba6d-80f1e85ae5c2" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract_019e4b2b-cc29-7969-b7e7-8d0863abe23f" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities_019e4b2b-cc29-7b46-ba6d-80f1e85ae5c2" xlink:type="arc" order="5"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_019e4b2b-cc29-7a50-8007-a4dc3c7bee57" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_019e4b2b-cc29-76b9-979b-f19a835d30db" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_019e4b2b-cc29-7a50-8007-a4dc3c7bee57" xlink:type="arc" order="3"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/AcquisitionsandDivestituresScheduleofBusinessAcquisitionProFormaInformationDetails" xlink:type="simple" xlink:href="rep-20260630.xsd#AcquisitionsandDivestituresScheduleofBusinessAcquisitionProFormaInformationDetails"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/AcquisitionsandDivestituresScheduleofBusinessAcquisitionProFormaInformationDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems_019e4b2b-cc29-7315-8269-0406fc878ee8" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentsTable_019e4b2b-cc29-7b9c-805b-8a2a483436b8" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentsTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems_019e4b2b-cc29-7315-8269-0406fc878ee8" xlink:to="loc_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentsTable_019e4b2b-cc29-7b9c-805b-8a2a483436b8" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAxis_019e4b2b-cc29-75f9-b299-35c9005f78d4" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentsTable_019e4b2b-cc29-7b9c-805b-8a2a483436b8" xlink:to="loc_us-gaap_BusinessAcquisitionAxis_019e4b2b-cc29-75f9-b299-35c9005f78d4" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-75f9-b299-35c9005f78d4_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_019e4b2b-cc29-75f9-b299-35c9005f78d4" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-75f9-b299-35c9005f78d4_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-75cc-b612-47e458a088eb" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_019e4b2b-cc29-75f9-b299-35c9005f78d4" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-75cc-b612-47e458a088eb" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_SilverbackAcquisitionMember_019e4b2b-cc29-75e4-9f4d-d08792267307" xlink:href="rep-20260630.xsd#rep_SilverbackAcquisitionMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-75cc-b612-47e458a088eb" xlink:to="loc_rep_SilverbackAcquisitionMember_019e4b2b-cc29-75e4-9f4d-d08792267307" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionsProFormaRevenue_019e4b2b-cc29-71b3-b858-ba078c0f3016" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionsProFormaRevenue"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems_019e4b2b-cc29-7315-8269-0406fc878ee8" xlink:to="loc_us-gaap_BusinessAcquisitionsProFormaRevenue_019e4b2b-cc29-71b3-b858-ba078c0f3016" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionsProFormaNetIncomeLoss_019e4b2b-cc29-7b2b-9199-93708d4156ef" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionsProFormaNetIncomeLoss"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems_019e4b2b-cc29-7315-8269-0406fc878ee8" xlink:to="loc_us-gaap_BusinessAcquisitionsProFormaNetIncomeLoss_019e4b2b-cc29-7b2b-9199-93708d4156ef" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionProFormaEarningsPerShareBasic_019e4b2b-cc29-7d20-8168-ffcfcf39de1a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionProFormaEarningsPerShareBasic"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems_019e4b2b-cc29-7315-8269-0406fc878ee8" xlink:to="loc_us-gaap_BusinessAcquisitionProFormaEarningsPerShareBasic_019e4b2b-cc29-7d20-8168-ffcfcf39de1a" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionProFormaEarningsPerShareDiluted_019e4b2b-cc29-778d-b2e5-0713474f55eb" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionProFormaEarningsPerShareDiluted"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems_019e4b2b-cc29-7315-8269-0406fc878ee8" xlink:to="loc_us-gaap_BusinessAcquisitionProFormaEarningsPerShareDiluted_019e4b2b-cc29-778d-b2e5-0713474f55eb" xlink:type="arc" order="3"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/DerivativeInstrumentsScheduleofNotionalAmountsCrudeOilandNaturalGasDetails" xlink:type="simple" xlink:href="rep-20260630.xsd#DerivativeInstrumentsScheduleofNotionalAmountsCrudeOilandNaturalGasDetails"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/DerivativeInstrumentsScheduleofNotionalAmountsCrudeOilandNaturalGasDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-7fbd-97c1-230f8d9b9202" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeTable_019e4b2b-cc29-7a04-95cb-b97c74bba247" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-7fbd-97c1-230f8d9b9202" xlink:to="loc_us-gaap_DerivativeTable_019e4b2b-cc29-7a04-95cb-b97c74bba247" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentRiskAxis_019e4b2b-cc29-782e-86c9-2302a816eeca" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeInstrumentRiskAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_DerivativeTable_019e4b2b-cc29-7a04-95cb-b97c74bba247" xlink:to="loc_us-gaap_DerivativeInstrumentRiskAxis_019e4b2b-cc29-782e-86c9-2302a816eeca" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-782e-86c9-2302a816eeca_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeContractTypeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_DerivativeInstrumentRiskAxis_019e4b2b-cc29-782e-86c9-2302a816eeca" xlink:to="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-782e-86c9-2302a816eeca_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeContractTypeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_DerivativeInstrumentRiskAxis_019e4b2b-cc29-782e-86c9-2302a816eeca" xlink:to="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_OilSwapsQ32026Member_019e4b2b-cc29-7d18-8b1c-ec7c99ff32d6" xlink:href="rep-20260630.xsd#rep_OilSwapsQ32026Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:to="loc_rep_OilSwapsQ32026Member_019e4b2b-cc29-7d18-8b1c-ec7c99ff32d6" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_OilSwapsQ42026Member_019e4b2b-cc29-7a5c-8833-cb05eff68c6b" xlink:href="rep-20260630.xsd#rep_OilSwapsQ42026Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:to="loc_rep_OilSwapsQ42026Member_019e4b2b-cc29-7a5c-8833-cb05eff68c6b" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_OilSwapsQ12027Member_019e4b2b-cc29-7563-8f2c-dea6407075b0" xlink:href="rep-20260630.xsd#rep_OilSwapsQ12027Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:to="loc_rep_OilSwapsQ12027Member_019e4b2b-cc29-7563-8f2c-dea6407075b0" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_OilSwapsQ22027Member_019e4b2b-cc29-7417-a341-a3b5885bbe6d" xlink:href="rep-20260630.xsd#rep_OilSwapsQ22027Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:to="loc_rep_OilSwapsQ22027Member_019e4b2b-cc29-7417-a341-a3b5885bbe6d" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_OilSwapsQ32027Member_019e4b2b-cc29-7c78-80c0-7ee539175b8b" xlink:href="rep-20260630.xsd#rep_OilSwapsQ32027Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:to="loc_rep_OilSwapsQ32027Member_019e4b2b-cc29-7c78-80c0-7ee539175b8b" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_OilSwapsQ42027Member_019e4b2b-cc29-773a-87b3-bc797cc49de0" xlink:href="rep-20260630.xsd#rep_OilSwapsQ42027Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:to="loc_rep_OilSwapsQ42027Member_019e4b2b-cc29-773a-87b3-bc797cc49de0" xlink:type="arc" order="5"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_OilSwapsQ12028Member_019e4b2b-cc29-7161-aef2-6ae1c0e7ecda" xlink:href="rep-20260630.xsd#rep_OilSwapsQ12028Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:to="loc_rep_OilSwapsQ12028Member_019e4b2b-cc29-7161-aef2-6ae1c0e7ecda" xlink:type="arc" order="6"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_OilCollarsQ32026Member_019e4b2b-cc29-7969-916c-79a96e5111fe" xlink:href="rep-20260630.xsd#rep_OilCollarsQ32026Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:to="loc_rep_OilCollarsQ32026Member_019e4b2b-cc29-7969-916c-79a96e5111fe" xlink:type="arc" order="7"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_OilCollarsQ42026Member_019e4b2b-cc29-7def-b007-a9d01e825fff" xlink:href="rep-20260630.xsd#rep_OilCollarsQ42026Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:to="loc_rep_OilCollarsQ42026Member_019e4b2b-cc29-7def-b007-a9d01e825fff" xlink:type="arc" order="8"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_OilCollarsQ12027Member_019e4b2b-cc29-7347-84ad-edc4791359fe" xlink:href="rep-20260630.xsd#rep_OilCollarsQ12027Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:to="loc_rep_OilCollarsQ12027Member_019e4b2b-cc29-7347-84ad-edc4791359fe" xlink:type="arc" order="9"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_OilCollarsQ22027Member_019e4b2b-cc29-71be-96cf-6c6cd78f9eef" xlink:href="rep-20260630.xsd#rep_OilCollarsQ22027Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:to="loc_rep_OilCollarsQ22027Member_019e4b2b-cc29-71be-96cf-6c6cd78f9eef" xlink:type="arc" order="10"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_OilCollarsQ32027Member_019e4b2b-cc29-76db-9d01-cd514c29fb55" xlink:href="rep-20260630.xsd#rep_OilCollarsQ32027Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:to="loc_rep_OilCollarsQ32027Member_019e4b2b-cc29-76db-9d01-cd514c29fb55" xlink:type="arc" order="11"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_OilCollarsQ42027Member_019e4b2b-cc29-759b-ab98-9576a30be537" xlink:href="rep-20260630.xsd#rep_OilCollarsQ42027Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:to="loc_rep_OilCollarsQ42027Member_019e4b2b-cc29-759b-ab98-9576a30be537" xlink:type="arc" order="12"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_OilCollarsQ12028Member_019e4b2b-cc29-7aaf-9e82-77442a23312b" xlink:href="rep-20260630.xsd#rep_OilCollarsQ12028Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:to="loc_rep_OilCollarsQ12028Member_019e4b2b-cc29-7aaf-9e82-77442a23312b" xlink:type="arc" order="13"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_NaturalGasSwapsQ32026Member_019e4b2b-cc29-7d34-be74-451f4353fe18" xlink:href="rep-20260630.xsd#rep_NaturalGasSwapsQ32026Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:to="loc_rep_NaturalGasSwapsQ32026Member_019e4b2b-cc29-7d34-be74-451f4353fe18" xlink:type="arc" order="14"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_NaturalGasSwapsQ42026Member_019e4b2b-cc29-7c63-9e25-1753ee38c06c" xlink:href="rep-20260630.xsd#rep_NaturalGasSwapsQ42026Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:to="loc_rep_NaturalGasSwapsQ42026Member_019e4b2b-cc29-7c63-9e25-1753ee38c06c" xlink:type="arc" order="15"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_NaturalGasSwapsQ12027Member_019e4b2b-cc29-7695-8eb8-e25a347281c4" xlink:href="rep-20260630.xsd#rep_NaturalGasSwapsQ12027Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:to="loc_rep_NaturalGasSwapsQ12027Member_019e4b2b-cc29-7695-8eb8-e25a347281c4" xlink:type="arc" order="16"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_NaturalGasCollarsQ32026Member_019e4b2b-cc29-7568-b83a-9612e37794eb" xlink:href="rep-20260630.xsd#rep_NaturalGasCollarsQ32026Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:to="loc_rep_NaturalGasCollarsQ32026Member_019e4b2b-cc29-7568-b83a-9612e37794eb" xlink:type="arc" order="17"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_NaturalGasCollarsQ42026Member_019e4b2b-cc29-78eb-ad0f-bf2c008972fd" xlink:href="rep-20260630.xsd#rep_NaturalGasCollarsQ42026Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:to="loc_rep_NaturalGasCollarsQ42026Member_019e4b2b-cc29-78eb-ad0f-bf2c008972fd" xlink:type="arc" order="18"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_NaturalGasCollarsQ12027Member_019e4b2b-cc29-7f43-9bd5-eb78f3b5d9cb" xlink:href="rep-20260630.xsd#rep_NaturalGasCollarsQ12027Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:to="loc_rep_NaturalGasCollarsQ12027Member_019e4b2b-cc29-7f43-9bd5-eb78f3b5d9cb" xlink:type="arc" order="19"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_WahaBasisSwapsQ32026Member_019e4b2b-cc29-79eb-976f-a1e3535287ca" xlink:href="rep-20260630.xsd#rep_WahaBasisSwapsQ32026Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:to="loc_rep_WahaBasisSwapsQ32026Member_019e4b2b-cc29-79eb-976f-a1e3535287ca" xlink:type="arc" order="20"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_WahaBasisSwapsQ42026Member_019e4b2b-cc29-7150-82a1-8dab8cfae9fe" xlink:href="rep-20260630.xsd#rep_WahaBasisSwapsQ42026Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:to="loc_rep_WahaBasisSwapsQ42026Member_019e4b2b-cc29-7150-82a1-8dab8cfae9fe" xlink:type="arc" order="21"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_WahaBasisSwapsQ12027Member_019e4b2b-cc29-740c-acf2-358ce14e6451" xlink:href="rep-20260630.xsd#rep_WahaBasisSwapsQ12027Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:to="loc_rep_WahaBasisSwapsQ12027Member_019e4b2b-cc29-740c-acf2-358ce14e6451" xlink:type="arc" order="22"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_WahaBasisSwapsQ22027Member_019e4b2b-cc29-7a40-aa9d-d92dbdc89bca" xlink:href="rep-20260630.xsd#rep_WahaBasisSwapsQ22027Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:to="loc_rep_WahaBasisSwapsQ22027Member_019e4b2b-cc29-7a40-aa9d-d92dbdc89bca" xlink:type="arc" order="23"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_WahaBasisSwapsQ32027Member_019e4b2b-cc29-70c6-ac36-3a336a277d97" xlink:href="rep-20260630.xsd#rep_WahaBasisSwapsQ32027Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:to="loc_rep_WahaBasisSwapsQ32027Member_019e4b2b-cc29-70c6-ac36-3a336a277d97" xlink:type="arc" order="24"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_WahaBasisSwapsQ42027Member_019e4b2b-cc29-7905-8c6e-531f787d99b0" xlink:href="rep-20260630.xsd#rep_WahaBasisSwapsQ42027Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:to="loc_rep_WahaBasisSwapsQ42027Member_019e4b2b-cc29-7905-8c6e-531f787d99b0" xlink:type="arc" order="25"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_WahaBasisSwapsQ12028Member_019e4b2b-cc29-77cd-857a-787da52df74d" xlink:href="rep-20260630.xsd#rep_WahaBasisSwapsQ12028Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7c69-a75c-ba30394018a0" xlink:to="loc_rep_WahaBasisSwapsQ12028Member_019e4b2b-cc29-77cd-857a-787da52df74d" xlink:type="arc" order="26"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeNonmonetaryNotionalAmountVolume_019e4b2b-cc29-7517-98b4-80bc2f5766cf" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeNonmonetaryNotionalAmountVolume"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-7fbd-97c1-230f8d9b9202" xlink:to="loc_us-gaap_DerivativeNonmonetaryNotionalAmountVolume_019e4b2b-cc29-7517-98b4-80bc2f5766cf" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeSwapTypeFixedPrice_019e4b2b-cc29-7d0e-84a2-7022a23e4df4" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeSwapTypeFixedPrice"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-7fbd-97c1-230f8d9b9202" xlink:to="loc_us-gaap_DerivativeSwapTypeFixedPrice_019e4b2b-cc29-7d0e-84a2-7022a23e4df4" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeNonmonetaryNotionalAmountEnergyMeasure_019e4b2b-cc29-7135-8905-69474389791e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeNonmonetaryNotionalAmountEnergyMeasure"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-7fbd-97c1-230f8d9b9202" xlink:to="loc_us-gaap_DerivativeNonmonetaryNotionalAmountEnergyMeasure_019e4b2b-cc29-7135-8905-69474389791e" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeAverageFloorPrice_019e4b2b-cc29-7558-b793-84f4985562db" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeAverageFloorPrice"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-7fbd-97c1-230f8d9b9202" xlink:to="loc_us-gaap_DerivativeAverageFloorPrice_019e4b2b-cc29-7558-b793-84f4985562db" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeAverageCapPrice_019e4b2b-cc29-730c-99c5-edd7dcd1b2fd" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeAverageCapPrice"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-7fbd-97c1-230f8d9b9202" xlink:to="loc_us-gaap_DerivativeAverageCapPrice_019e4b2b-cc29-730c-99c5-edd7dcd1b2fd" xlink:type="arc" order="4"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/DerivativeInstrumentsScheduleofNotionalAmountsInterestRateContractsDetails" xlink:type="simple" xlink:href="rep-20260630.xsd#DerivativeInstrumentsScheduleofNotionalAmountsInterestRateContractsDetails"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/DerivativeInstrumentsScheduleofNotionalAmountsInterestRateContractsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-75a9-beaa-bc28ebc42274" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeTable_019e4b2b-cc29-7aa1-865c-672e4339cb86" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-75a9-beaa-bc28ebc42274" xlink:to="loc_us-gaap_DerivativeTable_019e4b2b-cc29-7aa1-865c-672e4339cb86" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentRiskAxis_019e4b2b-cc29-7cc4-82a9-34685845b8ef" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeInstrumentRiskAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_DerivativeTable_019e4b2b-cc29-7aa1-865c-672e4339cb86" xlink:to="loc_us-gaap_DerivativeInstrumentRiskAxis_019e4b2b-cc29-7cc4-82a9-34685845b8ef" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7cc4-82a9-34685845b8ef_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeContractTypeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_DerivativeInstrumentRiskAxis_019e4b2b-cc29-7cc4-82a9-34685845b8ef" xlink:to="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-7cc4-82a9-34685845b8ef_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-717c-bd39-590e50e04d9f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeContractTypeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_DerivativeInstrumentRiskAxis_019e4b2b-cc29-7cc4-82a9-34685845b8ef" xlink:to="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-717c-bd39-590e50e04d9f" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_FloatingToFixedInterestRateSwapsJuly2026ToApril2027Member_019e4b2b-cc29-7cea-b555-8c003a96bc67" xlink:href="rep-20260630.xsd#rep_FloatingToFixedInterestRateSwapsJuly2026ToApril2027Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-717c-bd39-590e50e04d9f" xlink:to="loc_rep_FloatingToFixedInterestRateSwapsJuly2026ToApril2027Member_019e4b2b-cc29-7cea-b555-8c003a96bc67" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeNotionalAmount_019e4b2b-cc29-7e12-9be7-c69801a97d21" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeNotionalAmount"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-75a9-beaa-bc28ebc42274" xlink:to="loc_us-gaap_DerivativeNotionalAmount_019e4b2b-cc29-7e12-9be7-c69801a97d21" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeFixedInterestRate_019e4b2b-cc29-73b9-8ffb-73cc8f545b1b" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeFixedInterestRate"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-75a9-beaa-bc28ebc42274" xlink:to="loc_us-gaap_DerivativeFixedInterestRate_019e4b2b-cc29-73b9-8ffb-73cc8f545b1b" xlink:type="arc" order="1"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/DerivativeInstrumentsStatementofFinancialPositionDetails" xlink:type="simple" xlink:href="rep-20260630.xsd#DerivativeInstrumentsStatementofFinancialPositionDetails"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/DerivativeInstrumentsStatementofFinancialPositionDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-7cc3-94ab-5a501c3acce5" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeTable_019e4b2b-cc29-75d3-8316-20c1c73bba48" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-7cc3-94ab-5a501c3acce5" xlink:to="loc_us-gaap_DerivativeTable_019e4b2b-cc29-75d3-8316-20c1c73bba48" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementOfFinancialPositionLocationBalanceAxis_019e4b2b-cc29-7089-8ea6-4c112b922d9b" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StatementOfFinancialPositionLocationBalanceAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_DerivativeTable_019e4b2b-cc29-75d3-8316-20c1c73bba48" xlink:to="loc_us-gaap_StatementOfFinancialPositionLocationBalanceAxis_019e4b2b-cc29-7089-8ea6-4c112b922d9b" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeAssetFairValueGrossAssetIncludingNotSubjectToMasterNettingArrangement_019e4b2b-cc29-7f8c-891e-a55a9f9deb89" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeAssetFairValueGrossAssetIncludingNotSubjectToMasterNettingArrangement"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-7cc3-94ab-5a501c3acce5" xlink:to="loc_us-gaap_DerivativeAssetFairValueGrossAssetIncludingNotSubjectToMasterNettingArrangement_019e4b2b-cc29-7f8c-891e-a55a9f9deb89" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeAssetFairValueGrossLiability_019e4b2b-cc29-716d-bd9d-c8f69eac52e5" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeAssetFairValueGrossLiability"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-7cc3-94ab-5a501c3acce5" xlink:to="loc_us-gaap_DerivativeAssetFairValueGrossLiability_019e4b2b-cc29-716d-bd9d-c8f69eac52e5" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeAssets_019e4b2b-cc29-7cd2-ba24-0912f53e48b1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeAssets"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-7cc3-94ab-5a501c3acce5" xlink:to="loc_us-gaap_DerivativeAssets_019e4b2b-cc29-7cd2-ba24-0912f53e48b1" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLiabilityFairValueGrossLiabilityIncludingNotSubjectToMasterNettingArrangement_019e4b2b-cc29-74e6-80ff-19e4706ea863" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeLiabilityFairValueGrossLiabilityIncludingNotSubjectToMasterNettingArrangement"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-7cc3-94ab-5a501c3acce5" xlink:to="loc_us-gaap_DerivativeLiabilityFairValueGrossLiabilityIncludingNotSubjectToMasterNettingArrangement_019e4b2b-cc29-74e6-80ff-19e4706ea863" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLiabilityFairValueGrossAsset_019e4b2b-cc29-70cb-b6b1-285041160426" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeLiabilityFairValueGrossAsset"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-7cc3-94ab-5a501c3acce5" xlink:to="loc_us-gaap_DerivativeLiabilityFairValueGrossAsset_019e4b2b-cc29-70cb-b6b1-285041160426" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLiabilities_019e4b2b-cc29-7679-9ee8-1502793d374a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeLiabilities"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-7cc3-94ab-5a501c3acce5" xlink:to="loc_us-gaap_DerivativeLiabilities_019e4b2b-cc29-7679-9ee8-1502793d374a" xlink:type="arc" order="5"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_DerivativeAssetFairValueAmountNotOffsetAgainstCollateralIncludingNotSubjectToMasterNettingArrangement_019e4b2b-cc29-7c29-8359-26c974c53c58" xlink:href="rep-20260630.xsd#rep_DerivativeAssetFairValueAmountNotOffsetAgainstCollateralIncludingNotSubjectToMasterNettingArrangement"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-7cc3-94ab-5a501c3acce5" xlink:to="loc_rep_DerivativeAssetFairValueAmountNotOffsetAgainstCollateralIncludingNotSubjectToMasterNettingArrangement_019e4b2b-cc29-7c29-8359-26c974c53c58" xlink:type="arc" order="6"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeAssetsLiabilitiesAtFairValueNet_019e4b2b-cc29-7b33-b9ae-c9991bd6dd51" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeAssetsLiabilitiesAtFairValueNet"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-7cc3-94ab-5a501c3acce5" xlink:to="loc_us-gaap_DerivativeAssetsLiabilitiesAtFairValueNet_019e4b2b-cc29-7b33-b9ae-c9991bd6dd51" xlink:type="arc" order="7"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/DerivativeInstrumentsStatementofFinancialPositionDetails_1" xlink:type="simple" xlink:href="rep-20260630.xsd#DerivativeInstrumentsStatementofFinancialPositionDetails_1"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/DerivativeInstrumentsStatementofFinancialPositionDetails_1" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-7cc3-94ab-5a501c3acce5" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeTable_019e4b2b-cc29-75d3-8316-20c1c73bba48" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-7cc3-94ab-5a501c3acce5" xlink:to="loc_us-gaap_DerivativeTable_019e4b2b-cc29-75d3-8316-20c1c73bba48" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeAssetFairValueGrossAssetIncludingNotSubjectToMasterNettingArrangement_019e4b2b-cc29-7f8c-891e-a55a9f9deb89" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeAssetFairValueGrossAssetIncludingNotSubjectToMasterNettingArrangement"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-7cc3-94ab-5a501c3acce5" xlink:to="loc_us-gaap_DerivativeAssetFairValueGrossAssetIncludingNotSubjectToMasterNettingArrangement_019e4b2b-cc29-7f8c-891e-a55a9f9deb89" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeAssetFairValueGrossLiability_019e4b2b-cc29-716d-bd9d-c8f69eac52e5" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeAssetFairValueGrossLiability"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-7cc3-94ab-5a501c3acce5" xlink:to="loc_us-gaap_DerivativeAssetFairValueGrossLiability_019e4b2b-cc29-716d-bd9d-c8f69eac52e5" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeAssets_019e4b2b-cc29-7cd2-ba24-0912f53e48b1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeAssets"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-7cc3-94ab-5a501c3acce5" xlink:to="loc_us-gaap_DerivativeAssets_019e4b2b-cc29-7cd2-ba24-0912f53e48b1" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLiabilityFairValueGrossLiabilityIncludingNotSubjectToMasterNettingArrangement_019e4b2b-cc29-74e6-80ff-19e4706ea863" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeLiabilityFairValueGrossLiabilityIncludingNotSubjectToMasterNettingArrangement"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-7cc3-94ab-5a501c3acce5" xlink:to="loc_us-gaap_DerivativeLiabilityFairValueGrossLiabilityIncludingNotSubjectToMasterNettingArrangement_019e4b2b-cc29-74e6-80ff-19e4706ea863" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLiabilityFairValueGrossAsset_019e4b2b-cc29-70cb-b6b1-285041160426" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeLiabilityFairValueGrossAsset"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-7cc3-94ab-5a501c3acce5" xlink:to="loc_us-gaap_DerivativeLiabilityFairValueGrossAsset_019e4b2b-cc29-70cb-b6b1-285041160426" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLiabilities_019e4b2b-cc29-7679-9ee8-1502793d374a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeLiabilities"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-7cc3-94ab-5a501c3acce5" xlink:to="loc_us-gaap_DerivativeLiabilities_019e4b2b-cc29-7679-9ee8-1502793d374a" xlink:type="arc" order="5"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_DerivativeAssetFairValueAmountNotOffsetAgainstCollateralIncludingNotSubjectToMasterNettingArrangement_019e4b2b-cc29-7c29-8359-26c974c53c58" xlink:href="rep-20260630.xsd#rep_DerivativeAssetFairValueAmountNotOffsetAgainstCollateralIncludingNotSubjectToMasterNettingArrangement"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-7cc3-94ab-5a501c3acce5" xlink:to="loc_rep_DerivativeAssetFairValueAmountNotOffsetAgainstCollateralIncludingNotSubjectToMasterNettingArrangement_019e4b2b-cc29-7c29-8359-26c974c53c58" xlink:type="arc" order="6"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeAssetsLiabilitiesAtFairValueNet_019e4b2b-cc29-7b33-b9ae-c9991bd6dd51" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeAssetsLiabilitiesAtFairValueNet"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeLineItems_019e4b2b-cc29-7cc3-94ab-5a501c3acce5" xlink:to="loc_us-gaap_DerivativeAssetsLiabilitiesAtFairValueNet_019e4b2b-cc29-7b33-b9ae-c9991bd6dd51" xlink:type="arc" order="7"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/FairValueMeasurementsScheduleofFairValueAssetsandLiabilitiesMeasuredonRecurringBasisDetails" xlink:type="simple" xlink:href="rep-20260630.xsd#FairValueMeasurementsScheduleofFairValueAssetsandLiabilitiesMeasuredonRecurringBasisDetails"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/FairValueMeasurementsScheduleofFairValueAssetsandLiabilitiesMeasuredonRecurringBasisDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_019e4b2b-cc29-7af1-8d41-2818ff8811d3" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_019e4b2b-cc29-73cd-85d0-dd0410441ed7" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_019e4b2b-cc29-7af1-8d41-2818ff8811d3" xlink:to="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_019e4b2b-cc29-73cd-85d0-dd0410441ed7" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentRiskAxis_019e4b2b-cc29-75ce-a05f-a8c8d0c475bb" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeInstrumentRiskAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_019e4b2b-cc29-73cd-85d0-dd0410441ed7" xlink:to="loc_us-gaap_DerivativeInstrumentRiskAxis_019e4b2b-cc29-75ce-a05f-a8c8d0c475bb" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-75ce-a05f-a8c8d0c475bb_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeContractTypeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_DerivativeInstrumentRiskAxis_019e4b2b-cc29-75ce-a05f-a8c8d0c475bb" xlink:to="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-75ce-a05f-a8c8d0c475bb_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-77ef-b648-d28adf8340bb" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeContractTypeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_DerivativeInstrumentRiskAxis_019e4b2b-cc29-75ce-a05f-a8c8d0c475bb" xlink:to="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-77ef-b648-d28adf8340bb" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommodityContractMember_019e4b2b-cc29-766a-91fa-35febb842210" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommodityContractMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-77ef-b648-d28adf8340bb" xlink:to="loc_us-gaap_CommodityContractMember_019e4b2b-cc29-766a-91fa-35febb842210" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestRateContractMember_019e4b2b-cc29-7185-b65d-e2c047909e60" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestRateContractMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-77ef-b648-d28adf8340bb" xlink:to="loc_us-gaap_InterestRateContractMember_019e4b2b-cc29-7185-b65d-e2c047909e60" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_EarnoutPaymentLiabilitiesMember_019e4b2b-cc29-7a87-9426-9a740c8889db" xlink:href="rep-20260630.xsd#rep_EarnoutPaymentLiabilitiesMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_019e4b2b-cc29-77ef-b648-d28adf8340bb" xlink:to="loc_rep_EarnoutPaymentLiabilitiesMember_019e4b2b-cc29-7a87-9426-9a740c8889db" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_019e4b2b-cc29-75ee-8381-3cdd356809ce" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueByFairValueHierarchyLevelAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_019e4b2b-cc29-73cd-85d0-dd0410441ed7" xlink:to="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_019e4b2b-cc29-75ee-8381-3cdd356809ce" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_019e4b2b-cc29-75ee-8381-3cdd356809ce_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueMeasurementsFairValueHierarchyDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_019e4b2b-cc29-75ee-8381-3cdd356809ce" xlink:to="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_019e4b2b-cc29-75ee-8381-3cdd356809ce_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_019e4b2b-cc29-7299-9e50-84050d074396" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueMeasurementsFairValueHierarchyDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_019e4b2b-cc29-75ee-8381-3cdd356809ce" xlink:to="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_019e4b2b-cc29-7299-9e50-84050d074396" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInputsLevel1Member_019e4b2b-cc29-7e83-98ba-b0c7a368c9e8" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueInputsLevel1Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_019e4b2b-cc29-7299-9e50-84050d074396" xlink:to="loc_us-gaap_FairValueInputsLevel1Member_019e4b2b-cc29-7e83-98ba-b0c7a368c9e8" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInputsLevel2Member_019e4b2b-cc29-7fb2-bba0-43bd059a5f3a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueInputsLevel2Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_019e4b2b-cc29-7299-9e50-84050d074396" xlink:to="loc_us-gaap_FairValueInputsLevel2Member_019e4b2b-cc29-7fb2-bba0-43bd059a5f3a" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInputsLevel3Member_019e4b2b-cc29-7dc3-a75c-9658898202ab" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueInputsLevel3Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_019e4b2b-cc29-7299-9e50-84050d074396" xlink:to="loc_us-gaap_FairValueInputsLevel3Member_019e4b2b-cc29-7dc3-a75c-9658898202ab" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityAxis_019e4b2b-cc29-7e44-b78f-50c7bf167c02" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CreditFacilityAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_019e4b2b-cc29-73cd-85d0-dd0410441ed7" xlink:to="loc_us-gaap_CreditFacilityAxis_019e4b2b-cc29-7e44-b78f-50c7bf167c02" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityDomain_019e4b2b-cc29-7e44-b78f-50c7bf167c02_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CreditFacilityDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_CreditFacilityAxis_019e4b2b-cc29-7e44-b78f-50c7bf167c02" xlink:to="loc_us-gaap_CreditFacilityDomain_019e4b2b-cc29-7e44-b78f-50c7bf167c02_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityDomain_019e4b2b-cc29-72ed-be56-e11003a8afcf" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CreditFacilityDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_CreditFacilityAxis_019e4b2b-cc29-7e44-b78f-50c7bf167c02" xlink:to="loc_us-gaap_CreditFacilityDomain_019e4b2b-cc29-72ed-be56-e11003a8afcf" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevolvingCreditFacilityMember_019e4b2b-cc29-793f-b06e-8c140cc9e3b0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RevolvingCreditFacilityMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_CreditFacilityDomain_019e4b2b-cc29-72ed-be56-e11003a8afcf" xlink:to="loc_us-gaap_RevolvingCreditFacilityMember_019e4b2b-cc29-793f-b06e-8c140cc9e3b0" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByMeasurementBasisAxis_019e4b2b-cc29-71bc-b8ac-636ed8210b62" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueByMeasurementBasisAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_019e4b2b-cc29-73cd-85d0-dd0410441ed7" xlink:to="loc_us-gaap_FairValueByMeasurementBasisAxis_019e4b2b-cc29-71bc-b8ac-636ed8210b62" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PortionAtFairValueFairValueDisclosureMember_019e4b2b-cc29-71bc-b8ac-636ed8210b62_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PortionAtFairValueFairValueDisclosureMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_FairValueByMeasurementBasisAxis_019e4b2b-cc29-71bc-b8ac-636ed8210b62" xlink:to="loc_us-gaap_PortionAtFairValueFairValueDisclosureMember_019e4b2b-cc29-71bc-b8ac-636ed8210b62_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueDisclosureItemAmountsDomain_019e4b2b-cc29-7015-9b67-8755a4719e50" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueDisclosureItemAmountsDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_FairValueByMeasurementBasisAxis_019e4b2b-cc29-71bc-b8ac-636ed8210b62" xlink:to="loc_us-gaap_FairValueDisclosureItemAmountsDomain_019e4b2b-cc29-7015-9b67-8755a4719e50" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PortionAtFairValueFairValueDisclosureMember_019e4b2b-cc29-7d0e-9423-1812b0386a43" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PortionAtFairValueFairValueDisclosureMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_FairValueDisclosureItemAmountsDomain_019e4b2b-cc29-7015-9b67-8755a4719e50" xlink:to="loc_us-gaap_PortionAtFairValueFairValueDisclosureMember_019e4b2b-cc29-7d0e-9423-1812b0386a43" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CarryingReportedAmountFairValueDisclosureMember_019e4b2b-cc29-7a96-be17-9418e481a44a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CarryingReportedAmountFairValueDisclosureMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_PortionAtFairValueFairValueDisclosureMember_019e4b2b-cc29-7d0e-9423-1812b0386a43" xlink:to="loc_us-gaap_CarryingReportedAmountFairValueDisclosureMember_019e4b2b-cc29-7a96-be17-9418e481a44a" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EstimateOfFairValueFairValueDisclosureMember_019e4b2b-cc29-7f28-bfcc-1c50a78b0837" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EstimateOfFairValueFairValueDisclosureMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_PortionAtFairValueFairValueDisclosureMember_019e4b2b-cc29-7d0e-9423-1812b0386a43" xlink:to="loc_us-gaap_EstimateOfFairValueFairValueDisclosureMember_019e4b2b-cc29-7f28-bfcc-1c50a78b0837" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeAxis_019e4b2b-cc29-76a3-9097-8bef9021b0f8" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongtermDebtTypeAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_019e4b2b-cc29-73cd-85d0-dd0410441ed7" xlink:to="loc_us-gaap_LongtermDebtTypeAxis_019e4b2b-cc29-76a3-9097-8bef9021b0f8" xlink:type="arc" order="5"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-76a3-9097-8bef9021b0f8_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongtermDebtTypeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_LongtermDebtTypeAxis_019e4b2b-cc29-76a3-9097-8bef9021b0f8" xlink:to="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-76a3-9097-8bef9021b0f8_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-7a7a-b8b3-886aaa4c637d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongtermDebtTypeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_LongtermDebtTypeAxis_019e4b2b-cc29-76a3-9097-8bef9021b0f8" xlink:to="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-7a7a-b8b3-886aaa4c637d" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditMember_019e4b2b-cc29-7b03-89d8-3282c2751feb" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-7a7a-b8b3-886aaa4c637d" xlink:to="loc_us-gaap_LineOfCreditMember_019e4b2b-cc29-7b03-89d8-3282c2751feb" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SeniorNotesMember_019e4b2b-cc29-79e8-8330-3485c4e339ad" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SeniorNotesMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-7a7a-b8b3-886aaa4c637d" xlink:to="loc_us-gaap_SeniorNotesMember_019e4b2b-cc29-79e8-8330-3485c4e339ad" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentAxis_019e4b2b-cc29-73a1-a582-4622594ea3e9" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_019e4b2b-cc29-73cd-85d0-dd0410441ed7" xlink:to="loc_us-gaap_DebtInstrumentAxis_019e4b2b-cc29-73a1-a582-4622594ea3e9" xlink:type="arc" order="6"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentNameDomain_019e4b2b-cc29-73a1-a582-4622594ea3e9_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentNameDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_DebtInstrumentAxis_019e4b2b-cc29-73a1-a582-4622594ea3e9" xlink:to="loc_us-gaap_DebtInstrumentNameDomain_019e4b2b-cc29-73a1-a582-4622594ea3e9_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentNameDomain_019e4b2b-cc29-7d2a-b64d-5cae6c42a30f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentNameDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_DebtInstrumentAxis_019e4b2b-cc29-73a1-a582-4622594ea3e9" xlink:to="loc_us-gaap_DebtInstrumentNameDomain_019e4b2b-cc29-7d2a-b64d-5cae6c42a30f" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_SeniorUnsecuredNotes1050Due2028Member_019e4b2b-cc29-7352-a327-2ce47ea14e0e" xlink:href="rep-20260630.xsd#rep_SeniorUnsecuredNotes1050Due2028Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DebtInstrumentNameDomain_019e4b2b-cc29-7d2a-b64d-5cae6c42a30f" xlink:to="loc_rep_SeniorUnsecuredNotes1050Due2028Member_019e4b2b-cc29-7352-a327-2ce47ea14e0e" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeAssets_019e4b2b-cc29-75ae-a50d-aeeba4aba1bd" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeAssets"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_019e4b2b-cc29-7af1-8d41-2818ff8811d3" xlink:to="loc_us-gaap_DerivativeAssets_019e4b2b-cc29-75ae-a50d-aeeba4aba1bd" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLiabilities_019e4b2b-cc29-7095-ab16-b6b28cabf0c5" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeLiabilities"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_019e4b2b-cc29-7af1-8d41-2818ff8811d3" xlink:to="loc_us-gaap_DerivativeLiabilities_019e4b2b-cc29-7095-ab16-b6b28cabf0c5" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebt_019e4b2b-cc29-7db3-b170-93c34d30133e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongTermDebt"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_019e4b2b-cc29-7af1-8d41-2818ff8811d3" xlink:to="loc_us-gaap_LongTermDebt_019e4b2b-cc29-7db3-b170-93c34d30133e" xlink:type="arc" order="2"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/FairValueMeasurementsNarrativeDetails" xlink:type="simple" xlink:href="rep-20260630.xsd#FairValueMeasurementsNarrativeDetails"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/FairValueMeasurementsNarrativeDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_019e4b2b-cc29-7263-a76f-dd5799003c3d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_019e4b2b-cc29-7e2d-8430-a9cab75b9131" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_019e4b2b-cc29-7263-a76f-dd5799003c3d" xlink:to="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_019e4b2b-cc29-7e2d-8430-a9cab75b9131" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAxis_019e4b2b-cc29-7e39-aa68-26cebe1f3b5a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_019e4b2b-cc29-7e2d-8430-a9cab75b9131" xlink:to="loc_us-gaap_BusinessAcquisitionAxis_019e4b2b-cc29-7e39-aa68-26cebe1f3b5a" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-7e39-aa68-26cebe1f3b5a_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_019e4b2b-cc29-7e39-aa68-26cebe1f3b5a" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-7e39-aa68-26cebe1f3b5a_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-73e5-a5c0-18fc78200912" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_019e4b2b-cc29-7e39-aa68-26cebe1f3b5a" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-73e5-a5c0-18fc78200912" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_SilverbackAcquisitionMember_019e4b2b-cc29-79eb-a606-e89ab33081db" xlink:href="rep-20260630.xsd#rep_SilverbackAcquisitionMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-73e5-a5c0-18fc78200912" xlink:to="loc_rep_SilverbackAcquisitionMember_019e4b2b-cc29-79eb-a606-e89ab33081db" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementOfFinancialPositionLocationBalanceAxis_019e4b2b-cc29-7e5c-b796-6f3bc9cccafd" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StatementOfFinancialPositionLocationBalanceAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_019e4b2b-cc29-7e2d-8430-a9cab75b9131" xlink:to="loc_us-gaap_StatementOfFinancialPositionLocationBalanceAxis_019e4b2b-cc29-7e5c-b796-6f3bc9cccafd" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_BusinessCombinationContingentConsiderationLiabilityPayment_019fa5af-c3e3-730e-abfd-1bb0d6a1328b" xlink:href="rep-20260630.xsd#rep_BusinessCombinationContingentConsiderationLiabilityPayment"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_019e4b2b-cc29-7263-a76f-dd5799003c3d" xlink:to="loc_rep_BusinessCombinationContingentConsiderationLiabilityPayment_019fa5af-c3e3-730e-abfd-1bb0d6a1328b" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue_019e4b2b-cc29-72ce-a67d-38c7d98be8af" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_019e4b2b-cc29-7263-a76f-dd5799003c3d" xlink:to="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue_019e4b2b-cc29-72ce-a67d-38c7d98be8af" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInEarningsRealized_019e4b2b-cc29-7276-bf06-7d99750bbb49" xlink:href="rep-20260630.xsd#rep_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInEarningsRealized"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_019e4b2b-cc29-7263-a76f-dd5799003c3d" xlink:to="loc_rep_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInEarningsRealized_019e4b2b-cc29-7276-bf06-7d99750bbb49" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInEarningsUnrealized_019e4b2b-cc29-7b2f-9254-af0398fd8851" xlink:href="rep-20260630.xsd#rep_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInEarningsUnrealized"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_019e4b2b-cc29-7263-a76f-dd5799003c3d" xlink:to="loc_rep_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInEarningsUnrealized_019e4b2b-cc29-7b2f-9254-af0398fd8851" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationContingentConsiderationArrangementsChangeInAmountOfContingentConsiderationLiability1_019fae82-8916-73e7-9403-85f694ca8f62" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationContingentConsiderationArrangementsChangeInAmountOfContingentConsiderationLiability1"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_019e4b2b-cc29-7263-a76f-dd5799003c3d" xlink:to="loc_us-gaap_BusinessCombinationContingentConsiderationArrangementsChangeInAmountOfContingentConsiderationLiability1_019fae82-8916-73e7-9403-85f694ca8f62" xlink:type="arc" order="4"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/FairValueMeasurementsNarrativeDetails_1" xlink:type="simple" xlink:href="rep-20260630.xsd#FairValueMeasurementsNarrativeDetails_1"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/FairValueMeasurementsNarrativeDetails_1" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_019e4b2b-cc29-7263-a76f-dd5799003c3d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_019e4b2b-cc29-7e2d-8430-a9cab75b9131" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_019e4b2b-cc29-7263-a76f-dd5799003c3d" xlink:to="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_019e4b2b-cc29-7e2d-8430-a9cab75b9131" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAxis_019e4b2b-cc29-7e39-aa68-26cebe1f3b5a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_019e4b2b-cc29-7e2d-8430-a9cab75b9131" xlink:to="loc_us-gaap_BusinessAcquisitionAxis_019e4b2b-cc29-7e39-aa68-26cebe1f3b5a" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-7e39-aa68-26cebe1f3b5a_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_019e4b2b-cc29-7e39-aa68-26cebe1f3b5a" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-7e39-aa68-26cebe1f3b5a_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-73e5-a5c0-18fc78200912" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_019e4b2b-cc29-7e39-aa68-26cebe1f3b5a" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-73e5-a5c0-18fc78200912" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_SilverbackAcquisitionMember_019e4b2b-cc29-79eb-a606-e89ab33081db" xlink:href="rep-20260630.xsd#rep_SilverbackAcquisitionMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-73e5-a5c0-18fc78200912" xlink:to="loc_rep_SilverbackAcquisitionMember_019e4b2b-cc29-79eb-a606-e89ab33081db" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_BusinessCombinationContingentConsiderationLiabilityPayment_019fa5af-c3e3-730e-abfd-1bb0d6a1328b" xlink:href="rep-20260630.xsd#rep_BusinessCombinationContingentConsiderationLiabilityPayment"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_019e4b2b-cc29-7263-a76f-dd5799003c3d" xlink:to="loc_rep_BusinessCombinationContingentConsiderationLiabilityPayment_019fa5af-c3e3-730e-abfd-1bb0d6a1328b" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue_019e4b2b-cc29-72ce-a67d-38c7d98be8af" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_019e4b2b-cc29-7263-a76f-dd5799003c3d" xlink:to="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue_019e4b2b-cc29-72ce-a67d-38c7d98be8af" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInEarningsRealized_019e4b2b-cc29-7276-bf06-7d99750bbb49" xlink:href="rep-20260630.xsd#rep_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInEarningsRealized"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_019e4b2b-cc29-7263-a76f-dd5799003c3d" xlink:to="loc_rep_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInEarningsRealized_019e4b2b-cc29-7276-bf06-7d99750bbb49" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInEarningsUnrealized_019e4b2b-cc29-7b2f-9254-af0398fd8851" xlink:href="rep-20260630.xsd#rep_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInEarningsUnrealized"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_019e4b2b-cc29-7263-a76f-dd5799003c3d" xlink:to="loc_rep_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInEarningsUnrealized_019e4b2b-cc29-7b2f-9254-af0398fd8851" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationContingentConsiderationArrangementsChangeInAmountOfContingentConsiderationLiability1_019fae82-8916-73e7-9403-85f694ca8f62" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationContingentConsiderationArrangementsChangeInAmountOfContingentConsiderationLiability1"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_019e4b2b-cc29-7263-a76f-dd5799003c3d" xlink:to="loc_us-gaap_BusinessCombinationContingentConsiderationArrangementsChangeInAmountOfContingentConsiderationLiability1_019fae82-8916-73e7-9403-85f694ca8f62" xlink:type="arc" order="4"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/FairValueMeasurementsScheduleofFairValueofEarnoutPaymentsDetails" xlink:type="simple" xlink:href="rep-20260630.xsd#FairValueMeasurementsScheduleofFairValueofEarnoutPaymentsDetails"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/FairValueMeasurementsScheduleofFairValueofEarnoutPaymentsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_019e4b2b-cc29-7d65-b87d-462bbc0582b4" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_019e4b2b-cc29-75cb-9b14-29f2eb382d1c" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_019e4b2b-cc29-7d65-b87d-462bbc0582b4" xlink:to="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_019e4b2b-cc29-75cb-9b14-29f2eb382d1c" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAxis_019e4b2b-cc29-7e50-ad55-569d9f891b3d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_019e4b2b-cc29-75cb-9b14-29f2eb382d1c" xlink:to="loc_us-gaap_BusinessAcquisitionAxis_019e4b2b-cc29-7e50-ad55-569d9f891b3d" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-7e50-ad55-569d9f891b3d_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_019e4b2b-cc29-7e50-ad55-569d9f891b3d" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-7e50-ad55-569d9f891b3d_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-7938-bc6c-5101b955e793" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_019e4b2b-cc29-7e50-ad55-569d9f891b3d" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-7938-bc6c-5101b955e793" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_SilverbackAcquisitionMember_019e4b2b-cc29-7255-bf6c-b04eb2e4e19d" xlink:href="rep-20260630.xsd#rep_SilverbackAcquisitionMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_019e4b2b-cc29-7938-bc6c-5101b955e793" xlink:to="loc_rep_SilverbackAcquisitionMember_019e4b2b-cc29-7255-bf6c-b04eb2e4e19d" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_019e4b2b-cc29-7af5-990c-eff546621098" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueByFairValueHierarchyLevelAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_019e4b2b-cc29-75cb-9b14-29f2eb382d1c" xlink:to="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_019e4b2b-cc29-7af5-990c-eff546621098" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_019e4b2b-cc29-7af5-990c-eff546621098_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueMeasurementsFairValueHierarchyDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_019e4b2b-cc29-7af5-990c-eff546621098" xlink:to="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_019e4b2b-cc29-7af5-990c-eff546621098_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_019e4b2b-cc29-7ee2-a32c-6c54344e597c" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueMeasurementsFairValueHierarchyDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_019e4b2b-cc29-7af5-990c-eff546621098" xlink:to="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_019e4b2b-cc29-7ee2-a32c-6c54344e597c" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInputsLevel3Member_019e4b2b-cc29-767a-a078-ad8a098bce1f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueInputsLevel3Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_019e4b2b-cc29-7ee2-a32c-6c54344e597c" xlink:to="loc_us-gaap_FairValueInputsLevel3Member_019e4b2b-cc29-767a-a078-ad8a098bce1f" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeAxis_019e4b2b-cc29-7afd-9391-ba557d25062e" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RangeAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_019e4b2b-cc29-75cb-9b14-29f2eb382d1c" xlink:to="loc_srt_RangeAxis_019e4b2b-cc29-7afd-9391-ba557d25062e" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeMember_019e4b2b-cc29-7afd-9391-ba557d25062e_default" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RangeMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_srt_RangeAxis_019e4b2b-cc29-7afd-9391-ba557d25062e" xlink:to="loc_srt_RangeMember_019e4b2b-cc29-7afd-9391-ba557d25062e_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeMember_019e4b2b-cc29-7bd6-87ac-20773082c13e" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RangeMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_srt_RangeAxis_019e4b2b-cc29-7afd-9391-ba557d25062e" xlink:to="loc_srt_RangeMember_019e4b2b-cc29-7bd6-87ac-20773082c13e" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MinimumMember_019e4b2b-cc29-7a83-9894-625851b6deaa" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_MinimumMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_srt_RangeMember_019e4b2b-cc29-7bd6-87ac-20773082c13e" xlink:to="loc_srt_MinimumMember_019e4b2b-cc29-7a83-9894-625851b6deaa" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MaximumMember_019e4b2b-cc29-7388-8251-8bf27bef6a6a" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_MaximumMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_srt_RangeMember_019e4b2b-cc29-7bd6-87ac-20773082c13e" xlink:to="loc_srt_MaximumMember_019e4b2b-cc29-7388-8251-8bf27bef6a6a" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_WeightedAverageMember_019e4b2b-cc29-7b60-9a62-831d4285879f" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_WeightedAverageMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_srt_RangeMember_019e4b2b-cc29-7bd6-87ac-20773082c13e" xlink:to="loc_srt_WeightedAverageMember_019e4b2b-cc29-7b60-9a62-831d4285879f" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward_019e4b2b-cc29-7a84-806a-07ed25cb6651" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_019e4b2b-cc29-7d65-b87d-462bbc0582b4" xlink:to="loc_us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward_019e4b2b-cc29-7a84-806a-07ed25cb6651" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue_019e4b2b-cc29-7fbf-9cdb-e5177ae7c308" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward_019e4b2b-cc29-7a84-806a-07ed25cb6651" xlink:to="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue_019e4b2b-cc29-7fbf-9cdb-e5177ae7c308" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInEarnings_019e4b2b-cc29-7ae7-a188-8a24cab02f8f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInEarnings"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward_019e4b2b-cc29-7a84-806a-07ed25cb6651" xlink:to="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInEarnings_019e4b2b-cc29-7ae7-a188-8a24cab02f8f" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilitySettlements_019f37a9-7047-793a-ae66-cc5fbf54a890" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilitySettlements"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward_019e4b2b-cc29-7a84-806a-07ed25cb6651" xlink:to="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilitySettlements_019f37a9-7047-793a-ae66-cc5fbf54a890" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue_019e4b2b-cc29-78dd-baaf-7188c851a028" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationContingentConsiderationLiabilityMeasurementInput_019e4b2b-cc29-715b-aac2-5b29e78f05df" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationContingentConsiderationLiabilityMeasurementInput"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward_019e4b2b-cc29-7a84-806a-07ed25cb6651" xlink:to="loc_us-gaap_BusinessCombinationContingentConsiderationLiabilityMeasurementInput_019e4b2b-cc29-715b-aac2-5b29e78f05df" xlink:type="arc" order="5"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/EquityMethodInvestmentNarrativeDetails" xlink:type="simple" xlink:href="rep-20260630.xsd#EquityMethodInvestmentNarrativeDetails"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/EquityMethodInvestmentNarrativeDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_019e4b2b-cc29-775e-87da-c61a2a013dde" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfEquityMethodInvestmentsLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfEquityMethodInvestmentsTable_019e4b2b-cc29-707d-a58a-f35592aa0ca9" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfEquityMethodInvestmentsTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_019e4b2b-cc29-775e-87da-c61a2a013dde" xlink:to="loc_us-gaap_ScheduleOfEquityMethodInvestmentsTable_019e4b2b-cc29-707d-a58a-f35592aa0ca9" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis_019e4b2b-cc29-7a03-8449-0b91aa8ae251" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsTable_019e4b2b-cc29-707d-a58a-f35592aa0ca9" xlink:to="loc_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis_019e4b2b-cc29-7a03-8449-0b91aa8ae251" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_EquityMethodInvesteeNameDomain_019e4b2b-cc29-7a03-8449-0b91aa8ae251_default" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_EquityMethodInvesteeNameDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis_019e4b2b-cc29-7a03-8449-0b91aa8ae251" xlink:to="loc_srt_EquityMethodInvesteeNameDomain_019e4b2b-cc29-7a03-8449-0b91aa8ae251_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_EquityMethodInvesteeNameDomain_019e4b2b-cc29-797f-9727-0b79f5ff43d1" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_EquityMethodInvesteeNameDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis_019e4b2b-cc29-7a03-8449-0b91aa8ae251" xlink:to="loc_srt_EquityMethodInvesteeNameDomain_019e4b2b-cc29-797f-9727-0b79f5ff43d1" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_RPCPowerLLCMember_019e4b2b-cc29-75e2-b8c7-ce24a867ce86" xlink:href="rep-20260630.xsd#rep_RPCPowerLLCMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_srt_EquityMethodInvesteeNameDomain_019e4b2b-cc29-797f-9727-0b79f5ff43d1" xlink:to="loc_rep_RPCPowerLLCMember_019e4b2b-cc29-75e2-b8c7-ce24a867ce86" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_RPCPowerLLCProjectOneMember_019e4b2b-cc29-78a1-acad-eb53ec214e5f" xlink:href="rep-20260630.xsd#rep_RPCPowerLLCProjectOneMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_rep_RPCPowerLLCMember_019e4b2b-cc29-75e2-b8c7-ce24a867ce86" xlink:to="loc_rep_RPCPowerLLCProjectOneMember_019e4b2b-cc29-78a1-acad-eb53ec214e5f" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_RPCPowerLLCProjectTwoMember_019e4b2b-cc29-7613-879e-9da483da685a" xlink:href="rep-20260630.xsd#rep_RPCPowerLLCProjectTwoMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_rep_RPCPowerLLCMember_019e4b2b-cc29-75e2-b8c7-ce24a867ce86" xlink:to="loc_rep_RPCPowerLLCProjectTwoMember_019e4b2b-cc29-7613-879e-9da483da685a" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LegalEntityAxis_019e4b2b-cc29-7f22-83b9-261b1d1362ef" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_LegalEntityAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsTable_019e4b2b-cc29-707d-a58a-f35592aa0ca9" xlink:to="loc_dei_LegalEntityAxis_019e4b2b-cc29-7f22-83b9-261b1d1362ef" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityDomain_019e4b2b-cc29-7f22-83b9-261b1d1362ef_default" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_dei_LegalEntityAxis_019e4b2b-cc29-7f22-83b9-261b1d1362ef" xlink:to="loc_dei_EntityDomain_019e4b2b-cc29-7f22-83b9-261b1d1362ef_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityDomain_019e4b2b-cc29-7c9c-9edc-9adcd1b55e42" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_dei_LegalEntityAxis_019e4b2b-cc29-7f22-83b9-261b1d1362ef" xlink:to="loc_dei_EntityDomain_019e4b2b-cc29-7c9c-9edc-9adcd1b55e42" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_RileyExplorationMember_019e4b2b-cc29-77ab-9b12-a7a96097625e" xlink:href="rep-20260630.xsd#rep_RileyExplorationMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityDomain_019e4b2b-cc29-7c9c-9edc-9adcd1b55e42" xlink:to="loc_rep_RileyExplorationMember_019e4b2b-cc29-77ab-9b12-a7a96097625e" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityMethodInvestmentOwnershipPercentage_019e4b2b-cc29-723e-a297-168ba9e9aac9" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EquityMethodInvestmentOwnershipPercentage"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_019e4b2b-cc29-775e-87da-c61a2a013dde" xlink:to="loc_us-gaap_EquityMethodInvestmentOwnershipPercentage_019e4b2b-cc29-723e-a297-168ba9e9aac9" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_EquityMethodInvestmentNumberOfProjects_019e4b2b-cc29-7bcd-a9c9-4c5c36659d90" xlink:href="rep-20260630.xsd#rep_EquityMethodInvestmentNumberOfProjects"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_019e4b2b-cc29-775e-87da-c61a2a013dde" xlink:to="loc_rep_EquityMethodInvestmentNumberOfProjects_019e4b2b-cc29-7bcd-a9c9-4c5c36659d90" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_EquityMethodInvestmentNumberOfSites_019e4b2b-cc29-7ae6-8c75-2721f5bace8e" xlink:href="rep-20260630.xsd#rep_EquityMethodInvestmentNumberOfSites"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_019e4b2b-cc29-775e-87da-c61a2a013dde" xlink:to="loc_rep_EquityMethodInvestmentNumberOfSites_019e4b2b-cc29-7ae6-8c75-2721f5bace8e" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityMethodInvestments_019f8854-e438-7b14-b34d-aa181c8dd656" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EquityMethodInvestments"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_019e4b2b-cc29-775e-87da-c61a2a013dde" xlink:to="loc_us-gaap_EquityMethodInvestments_019f8854-e438-7b14-b34d-aa181c8dd656" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquireEquityMethodInvestments_019f3ade-690d-7be4-b928-77d1cbc0882e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsToAcquireEquityMethodInvestments"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_019e4b2b-cc29-775e-87da-c61a2a013dde" xlink:to="loc_us-gaap_PaymentsToAcquireEquityMethodInvestments_019f3ade-690d-7be4-b928-77d1cbc0882e" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_NoncashOrPartNoncashAcquisitionContributionOfAssets_019e4b2b-cc29-73c1-9818-8b9fa7e91a37" xlink:href="rep-20260630.xsd#rep_NoncashOrPartNoncashAcquisitionContributionOfAssets"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_019e4b2b-cc29-775e-87da-c61a2a013dde" xlink:to="loc_rep_NoncashOrPartNoncashAcquisitionContributionOfAssets_019e4b2b-cc29-73c1-9818-8b9fa7e91a37" xlink:type="arc" order="5"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_EquityMethodInvestmentsCommitmentAmount_019e4b2b-cc29-7fdb-b40a-22164bc0a7ab" xlink:href="rep-20260630.xsd#rep_EquityMethodInvestmentsCommitmentAmount"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_019e4b2b-cc29-775e-87da-c61a2a013dde" xlink:to="loc_rep_EquityMethodInvestmentsCommitmentAmount_019e4b2b-cc29-7fdb-b40a-22164bc0a7ab" xlink:type="arc" order="6"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Dividends_019e4b2b-cc29-7f97-a7b5-c91b8b0e3509" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Dividends"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_019e4b2b-cc29-775e-87da-c61a2a013dde" xlink:to="loc_us-gaap_Dividends_019e4b2b-cc29-7f97-a7b5-c91b8b0e3509" xlink:type="arc" order="7"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/TransactionswithRelatedPartiesDetails" xlink:type="simple" xlink:href="rep-20260630.xsd#TransactionswithRelatedPartiesDetails"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/TransactionswithRelatedPartiesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionLineItems_019e4b2b-cc29-79d8-ad26-3a7f34f6b691" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RelatedPartyTransactionLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_019e4b2b-cc29-7d01-b0de-2ea96c3ceafd" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_RelatedPartyTransactionLineItems_019e4b2b-cc29-79d8-ad26-3a7f34f6b691" xlink:to="loc_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_019e4b2b-cc29-7d01-b0de-2ea96c3ceafd" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis_019f6ed3-693c-7d70-aba1-851375e32835" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_019e4b2b-cc29-7d01-b0de-2ea96c3ceafd" xlink:to="loc_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis_019f6ed3-693c-7d70-aba1-851375e32835" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_EquityMethodInvesteeNameDomain_019f6ed3-693c-7d70-aba1-851375e32835_default" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_EquityMethodInvesteeNameDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis_019f6ed3-693c-7d70-aba1-851375e32835" xlink:to="loc_srt_EquityMethodInvesteeNameDomain_019f6ed3-693c-7d70-aba1-851375e32835_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_EquityMethodInvesteeNameDomain_019f6ed3-693c-7022-9157-c46b143bca02" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_EquityMethodInvesteeNameDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis_019f6ed3-693c-7d70-aba1-851375e32835" xlink:to="loc_srt_EquityMethodInvesteeNameDomain_019f6ed3-693c-7022-9157-c46b143bca02" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_RPCPowerLLCMember_019f6ed3-693c-7679-a8be-d7d1c23abf9d" xlink:href="rep-20260630.xsd#rep_RPCPowerLLCMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_srt_EquityMethodInvesteeNameDomain_019f6ed3-693c-7022-9157-c46b143bca02" xlink:to="loc_rep_RPCPowerLLCMember_019f6ed3-693c-7679-a8be-d7d1c23abf9d" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionAxis_019f6ed3-693c-719b-97d9-9821572283d5" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RelatedPartyTransactionAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_019e4b2b-cc29-7d01-b0de-2ea96c3ceafd" xlink:to="loc_us-gaap_RelatedPartyTransactionAxis_019f6ed3-693c-719b-97d9-9821572283d5" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionDomain_019f6ed3-693c-719b-97d9-9821572283d5_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RelatedPartyTransactionDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_RelatedPartyTransactionAxis_019f6ed3-693c-719b-97d9-9821572283d5" xlink:to="loc_us-gaap_RelatedPartyTransactionDomain_019f6ed3-693c-719b-97d9-9821572283d5_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionDomain_019f6ed3-693c-765b-b7ef-7df681f4be98" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RelatedPartyTransactionDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_RelatedPartyTransactionAxis_019f6ed3-693c-719b-97d9-9821572283d5" xlink:to="loc_us-gaap_RelatedPartyTransactionDomain_019f6ed3-693c-765b-b7ef-7df681f4be98" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_TollingAgreementMember_019f6ed3-693c-720f-be39-5ca7ee128fe3" xlink:href="rep-20260630.xsd#rep_TollingAgreementMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_RelatedPartyTransactionDomain_019f6ed3-693c-765b-b7ef-7df681f4be98" xlink:to="loc_rep_TollingAgreementMember_019f6ed3-693c-720f-be39-5ca7ee128fe3" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SupplyCommitmentMember_019f6ed3-693c-744c-ad8b-b719e2036903" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SupplyCommitmentMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_RelatedPartyTransactionDomain_019f6ed3-693c-765b-b7ef-7df681f4be98" xlink:to="loc_us-gaap_SupplyCommitmentMember_019f6ed3-693c-744c-ad8b-b719e2036903" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_LeaseOperatingExpensesMember_019f6ed3-693c-76a1-9cce-f63e8dbf472b" xlink:href="rep-20260630.xsd#rep_LeaseOperatingExpensesMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_RelatedPartyTransactionDomain_019f6ed3-693c-765b-b7ef-7df681f4be98" xlink:to="loc_rep_LeaseOperatingExpensesMember_019f6ed3-693c-76a1-9cce-f63e8dbf472b" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_NetPaymentsUnderSupplyAgreementMember_019f6ed3-693c-770f-a6ab-eee44bc4bfb1" xlink:href="rep-20260630.xsd#rep_NetPaymentsUnderSupplyAgreementMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_RelatedPartyTransactionDomain_019f6ed3-693c-765b-b7ef-7df681f4be98" xlink:to="loc_rep_NetPaymentsUnderSupplyAgreementMember_019f6ed3-693c-770f-a6ab-eee44bc4bfb1" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_LegalServicesMember_019f6ed3-693c-78e0-a2f9-cf9b2b99a42a" xlink:href="rep-20260630.xsd#rep_LegalServicesMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_RelatedPartyTransactionDomain_019f6ed3-693c-765b-b7ef-7df681f4be98" xlink:to="loc_rep_LegalServicesMember_019f6ed3-693c-78e0-a2f9-cf9b2b99a42a" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_019f6ed3-693c-70ac-a9ea-e8a52a0b9318" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RelatedPartyTransactionsByRelatedPartyAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_019e4b2b-cc29-7d01-b0de-2ea96c3ceafd" xlink:to="loc_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_019f6ed3-693c-70ac-a9ea-e8a52a0b9318" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyDomain_019f6ed3-693c-70ac-a9ea-e8a52a0b9318_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RelatedPartyDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_019f6ed3-693c-70ac-a9ea-e8a52a0b9318" xlink:to="loc_us-gaap_RelatedPartyDomain_019f6ed3-693c-70ac-a9ea-e8a52a0b9318_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyDomain_019f6ed3-693c-762c-8740-e3542cbf5e8c" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RelatedPartyDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_019f6ed3-693c-70ac-a9ea-e8a52a0b9318" xlink:to="loc_us-gaap_RelatedPartyDomain_019f6ed3-693c-762c-8740-e3542cbf5e8c" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityMethodInvesteeMember_019f6ed3-693c-7bac-8d98-7d3125cce1fd" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EquityMethodInvesteeMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_RelatedPartyDomain_019f6ed3-693c-762c-8740-e3542cbf5e8c" xlink:to="loc_us-gaap_EquityMethodInvesteeMember_019f6ed3-693c-7bac-8d98-7d3125cce1fd" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyMember_019f6ed3-693c-7791-923d-6148773633ec" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RelatedPartyMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_RelatedPartyDomain_019f6ed3-693c-762c-8740-e3542cbf5e8c" xlink:to="loc_us-gaap_RelatedPartyMember_019f6ed3-693c-7791-923d-6148773633ec" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_CounterpartyNameAxis_019f6ed3-693c-7571-a2f1-f4c950b58e7e" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_CounterpartyNameAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_019e4b2b-cc29-7d01-b0de-2ea96c3ceafd" xlink:to="loc_srt_CounterpartyNameAxis_019f6ed3-693c-7571-a2f1-f4c950b58e7e" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RepurchaseAgreementCounterpartyNameDomain_019f6ed3-693c-7571-a2f1-f4c950b58e7e_default" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RepurchaseAgreementCounterpartyNameDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_srt_CounterpartyNameAxis_019f6ed3-693c-7571-a2f1-f4c950b58e7e" xlink:to="loc_srt_RepurchaseAgreementCounterpartyNameDomain_019f6ed3-693c-7571-a2f1-f4c950b58e7e_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RepurchaseAgreementCounterpartyNameDomain_019f6ed3-693c-7115-b8a1-1a5856503767" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RepurchaseAgreementCounterpartyNameDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_srt_CounterpartyNameAxis_019f6ed3-693c-7571-a2f1-f4c950b58e7e" xlink:to="loc_srt_RepurchaseAgreementCounterpartyNameDomain_019f6ed3-693c-7115-b8a1-1a5856503767" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_DiSantoLawPLLCMember_019f6ed3-693c-79b4-8888-0f60b4b1edcb" xlink:href="rep-20260630.xsd#rep_DiSantoLawPLLCMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_srt_RepurchaseAgreementCounterpartyNameDomain_019f6ed3-693c-7115-b8a1-1a5856503767" xlink:to="loc_rep_DiSantoLawPLLCMember_019f6ed3-693c-79b4-8888-0f60b4b1edcb" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_TitleOfIndividualAxis_019f6ed3-693c-7c0a-822e-1bd09b187811" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_TitleOfIndividualAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_019e4b2b-cc29-7d01-b0de-2ea96c3ceafd" xlink:to="loc_srt_TitleOfIndividualAxis_019f6ed3-693c-7c0a-822e-1bd09b187811" xlink:type="arc" order="5"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_TitleOfIndividualWithRelationshipToEntityDomain_019f6ed3-693c-7c0a-822e-1bd09b187811_default" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_TitleOfIndividualWithRelationshipToEntityDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_srt_TitleOfIndividualAxis_019f6ed3-693c-7c0a-822e-1bd09b187811" xlink:to="loc_srt_TitleOfIndividualWithRelationshipToEntityDomain_019f6ed3-693c-7c0a-822e-1bd09b187811_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_TitleOfIndividualWithRelationshipToEntityDomain_019f6ed3-693c-772b-8206-755986e291cd" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_TitleOfIndividualWithRelationshipToEntityDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_srt_TitleOfIndividualAxis_019f6ed3-693c-7c0a-822e-1bd09b187811" xlink:to="loc_srt_TitleOfIndividualWithRelationshipToEntityDomain_019f6ed3-693c-772b-8206-755986e291cd" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_DirectorMember_019f6ed3-693c-7867-9e6a-d6e7945127d8" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_DirectorMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_srt_TitleOfIndividualWithRelationshipToEntityDomain_019f6ed3-693c-772b-8206-755986e291cd" xlink:to="loc_srt_DirectorMember_019f6ed3-693c-7867-9e6a-d6e7945127d8" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermPurchaseCommitmentPeriod_019f6ed3-693c-7395-8481-96ed23118cbc" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongtermPurchaseCommitmentPeriod"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_RelatedPartyTransactionLineItems_019e4b2b-cc29-79d8-ad26-3a7f34f6b691" xlink:to="loc_us-gaap_LongtermPurchaseCommitmentPeriod_019f6ed3-693c-7395-8481-96ed23118cbc" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_LongTermPurchaseCommitmentNumberOfAncillaryAgreements_019f6ed3-693c-7e55-b488-e2f0f723b08d" xlink:href="rep-20260630.xsd#rep_LongTermPurchaseCommitmentNumberOfAncillaryAgreements"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_RelatedPartyTransactionLineItems_019e4b2b-cc29-79d8-ad26-3a7f34f6b691" xlink:to="loc_rep_LongTermPurchaseCommitmentNumberOfAncillaryAgreements_019f6ed3-693c-7e55-b488-e2f0f723b08d" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_NumberOfSitesExpectedToBePlacedInService_019fa204-437b-7e01-b8c3-fc1e816becd7" xlink:href="rep-20260630.xsd#rep_NumberOfSitesExpectedToBePlacedInService"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_RelatedPartyTransactionLineItems_019e4b2b-cc29-79d8-ad26-3a7f34f6b691" xlink:to="loc_rep_NumberOfSitesExpectedToBePlacedInService_019fa204-437b-7e01-b8c3-fc1e816becd7" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseExpense_019f6ed3-693c-772b-81c0-5c3dea7a1338" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OperatingLeaseExpense"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_RelatedPartyTransactionLineItems_019e4b2b-cc29-79d8-ad26-3a7f34f6b691" xlink:to="loc_us-gaap_OperatingLeaseExpense_019f6ed3-693c-772b-81c0-5c3dea7a1338" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccruedLiabilitiesCurrent_019f6ed3-693c-7c3e-97b8-0017bbe99083" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccruedLiabilitiesCurrent"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_RelatedPartyTransactionLineItems_019e4b2b-cc29-79d8-ad26-3a7f34f6b691" xlink:to="loc_us-gaap_AccruedLiabilitiesCurrent_019f6ed3-693c-7c3e-97b8-0017bbe99083" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionAmountsOfTransaction_019f6ed3-693c-714e-a1d1-2b4ea9d2f050" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RelatedPartyTransactionAmountsOfTransaction"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_RelatedPartyTransactionLineItems_019e4b2b-cc29-79d8-ad26-3a7f34f6b691" xlink:to="loc_us-gaap_RelatedPartyTransactionAmountsOfTransaction_019f6ed3-693c-714e-a1d1-2b4ea9d2f050" xlink:type="arc" order="5"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherLiabilitiesCurrent_019f6ed3-693c-7dac-a1ff-a93e4fa15d1a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherLiabilitiesCurrent"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_RelatedPartyTransactionLineItems_019e4b2b-cc29-79d8-ad26-3a7f34f6b691" xlink:to="loc_us-gaap_OtherLiabilitiesCurrent_019f6ed3-693c-7dac-a1ff-a93e4fa15d1a" xlink:type="arc" order="6"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/LongTermDebtScheduleofOutstandingDebtDetails" xlink:type="simple" xlink:href="rep-20260630.xsd#LongTermDebtScheduleofOutstandingDebtDetails"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/LongTermDebtScheduleofOutstandingDebtDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-7602-b59b-e5c210d988ca" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditFacilityLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityTable_019e4b2b-cc29-7365-86eb-585eb0800c87" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditFacilityTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-7602-b59b-e5c210d988ca" xlink:to="loc_us-gaap_LineOfCreditFacilityTable_019e4b2b-cc29-7365-86eb-585eb0800c87" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityAxis_019e4b2b-cc29-7ef4-8514-33b8766c94c5" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CreditFacilityAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_LineOfCreditFacilityTable_019e4b2b-cc29-7365-86eb-585eb0800c87" xlink:to="loc_us-gaap_CreditFacilityAxis_019e4b2b-cc29-7ef4-8514-33b8766c94c5" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityDomain_019e4b2b-cc29-7ef4-8514-33b8766c94c5_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CreditFacilityDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_CreditFacilityAxis_019e4b2b-cc29-7ef4-8514-33b8766c94c5" xlink:to="loc_us-gaap_CreditFacilityDomain_019e4b2b-cc29-7ef4-8514-33b8766c94c5_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityDomain_019e4b2b-cc29-71a6-bc75-15f4e1fcc092" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CreditFacilityDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_CreditFacilityAxis_019e4b2b-cc29-7ef4-8514-33b8766c94c5" xlink:to="loc_us-gaap_CreditFacilityDomain_019e4b2b-cc29-71a6-bc75-15f4e1fcc092" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevolvingCreditFacilityMember_019e4b2b-cc29-7f72-8f11-d9665532e108" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RevolvingCreditFacilityMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_CreditFacilityDomain_019e4b2b-cc29-71a6-bc75-15f4e1fcc092" xlink:to="loc_us-gaap_RevolvingCreditFacilityMember_019e4b2b-cc29-7f72-8f11-d9665532e108" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeAxis_019e4b2b-cc29-7721-8778-e317b86e5125" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongtermDebtTypeAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_LineOfCreditFacilityTable_019e4b2b-cc29-7365-86eb-585eb0800c87" xlink:to="loc_us-gaap_LongtermDebtTypeAxis_019e4b2b-cc29-7721-8778-e317b86e5125" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-7721-8778-e317b86e5125_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongtermDebtTypeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_LongtermDebtTypeAxis_019e4b2b-cc29-7721-8778-e317b86e5125" xlink:to="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-7721-8778-e317b86e5125_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-72f0-9c06-e6122609f0d3" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongtermDebtTypeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_LongtermDebtTypeAxis_019e4b2b-cc29-7721-8778-e317b86e5125" xlink:to="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-72f0-9c06-e6122609f0d3" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditMember_019e4b2b-cc29-7754-9417-fd18da8d7911" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-72f0-9c06-e6122609f0d3" xlink:to="loc_us-gaap_LineOfCreditMember_019e4b2b-cc29-7754-9417-fd18da8d7911" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SeniorNotesMember_019e4b2b-cc29-705a-9bf3-19cd0176787d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SeniorNotesMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-72f0-9c06-e6122609f0d3" xlink:to="loc_us-gaap_SeniorNotesMember_019e4b2b-cc29-705a-9bf3-19cd0176787d" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebt_019e4b2b-cc29-7d5e-9c43-1dc0334a5bde" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongTermDebt"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-7602-b59b-e5c210d988ca" xlink:to="loc_us-gaap_LongTermDebt_019e4b2b-cc29-7d5e-9c43-1dc0334a5bde" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentCarryingAmount_019e4b2b-cc29-7d66-b450-52f6931e003e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentCarryingAmount"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-7602-b59b-e5c210d988ca" xlink:to="loc_us-gaap_DebtInstrumentCarryingAmount_019e4b2b-cc29-7d66-b450-52f6931e003e" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentUnamortizedDiscount_019e4b2b-cc29-749a-8ce4-fa44d48d7e6f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentUnamortizedDiscount"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-7602-b59b-e5c210d988ca" xlink:to="loc_us-gaap_DebtInstrumentUnamortizedDiscount_019e4b2b-cc29-749a-8ce4-fa44d48d7e6f" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredFinanceCostsNet_019e4b2b-cc29-72ce-9bb4-1dcc559ab453" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredFinanceCostsNet"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-7602-b59b-e5c210d988ca" xlink:to="loc_us-gaap_DeferredFinanceCostsNet_019e4b2b-cc29-72ce-9bb4-1dcc559ab453" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtCurrent_019e4b2b-cc29-7b8e-b182-cd46e989f92a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongTermDebtCurrent"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-7602-b59b-e5c210d988ca" xlink:to="loc_us-gaap_LongTermDebtCurrent_019e4b2b-cc29-7b8e-b182-cd46e989f92a" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtNoncurrent_019e4b2b-cc29-79d0-9700-1e2b95f0ebde" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongTermDebtNoncurrent"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-7602-b59b-e5c210d988ca" xlink:to="loc_us-gaap_LongTermDebtNoncurrent_019e4b2b-cc29-79d0-9700-1e2b95f0ebde" xlink:type="arc" order="5"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/LongTermDebtNarrativeDetails" xlink:type="simple" xlink:href="rep-20260630.xsd#LongTermDebtNarrativeDetails"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/LongTermDebtNarrativeDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-71c4-80ac-3e4fef7a5b20" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditFacilityLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityTable_019e4b2b-cc29-79b7-8265-48e972cd4dac" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditFacilityTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-71c4-80ac-3e4fef7a5b20" xlink:to="loc_us-gaap_LineOfCreditFacilityTable_019e4b2b-cc29-79b7-8265-48e972cd4dac" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityAxis_019e4b2b-cc29-7845-ae38-9122c616b769" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CreditFacilityAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_LineOfCreditFacilityTable_019e4b2b-cc29-79b7-8265-48e972cd4dac" xlink:to="loc_us-gaap_CreditFacilityAxis_019e4b2b-cc29-7845-ae38-9122c616b769" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityDomain_019e4b2b-cc29-7845-ae38-9122c616b769_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CreditFacilityDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_CreditFacilityAxis_019e4b2b-cc29-7845-ae38-9122c616b769" xlink:to="loc_us-gaap_CreditFacilityDomain_019e4b2b-cc29-7845-ae38-9122c616b769_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityDomain_019e4b2b-cc29-7fa0-87b0-7c96cc91e1ba" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CreditFacilityDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_CreditFacilityAxis_019e4b2b-cc29-7845-ae38-9122c616b769" xlink:to="loc_us-gaap_CreditFacilityDomain_019e4b2b-cc29-7fa0-87b0-7c96cc91e1ba" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevolvingCreditFacilityMember_019e4b2b-cc29-7ae0-a882-8ec5ac65fe60" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RevolvingCreditFacilityMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_CreditFacilityDomain_019e4b2b-cc29-7fa0-87b0-7c96cc91e1ba" xlink:to="loc_us-gaap_RevolvingCreditFacilityMember_019e4b2b-cc29-7ae0-a882-8ec5ac65fe60" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeAxis_019e4b2b-cc29-7b02-ab74-afc56a9b945d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongtermDebtTypeAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_LineOfCreditFacilityTable_019e4b2b-cc29-79b7-8265-48e972cd4dac" xlink:to="loc_us-gaap_LongtermDebtTypeAxis_019e4b2b-cc29-7b02-ab74-afc56a9b945d" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-7b02-ab74-afc56a9b945d_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongtermDebtTypeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_LongtermDebtTypeAxis_019e4b2b-cc29-7b02-ab74-afc56a9b945d" xlink:to="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-7b02-ab74-afc56a9b945d_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-710e-9606-458561428f60" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongtermDebtTypeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_LongtermDebtTypeAxis_019e4b2b-cc29-7b02-ab74-afc56a9b945d" xlink:to="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-710e-9606-458561428f60" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditMember_019e4b2b-cc29-7f8c-81c5-c55f7ccfc4a9" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-710e-9606-458561428f60" xlink:to="loc_us-gaap_LineOfCreditMember_019e4b2b-cc29-7f8c-81c5-c55f7ccfc4a9" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SeniorNotesMember_019e4b2b-cc29-79ba-8443-a18b86afa01e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SeniorNotesMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-710e-9606-458561428f60" xlink:to="loc_us-gaap_SeniorNotesMember_019e4b2b-cc29-79ba-8443-a18b86afa01e" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeAxis_019e4b2b-cc29-75c5-bdaa-0cc3e5dc9ebb" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RangeAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_LineOfCreditFacilityTable_019e4b2b-cc29-79b7-8265-48e972cd4dac" xlink:to="loc_srt_RangeAxis_019e4b2b-cc29-75c5-bdaa-0cc3e5dc9ebb" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeMember_019e4b2b-cc29-75c5-bdaa-0cc3e5dc9ebb_default" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RangeMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_srt_RangeAxis_019e4b2b-cc29-75c5-bdaa-0cc3e5dc9ebb" xlink:to="loc_srt_RangeMember_019e4b2b-cc29-75c5-bdaa-0cc3e5dc9ebb_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeMember_019e4b2b-cc29-7135-9990-9b7bbb9d6419" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RangeMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_srt_RangeAxis_019e4b2b-cc29-75c5-bdaa-0cc3e5dc9ebb" xlink:to="loc_srt_RangeMember_019e4b2b-cc29-7135-9990-9b7bbb9d6419" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MaximumMember_019e4b2b-cc29-7295-ad2c-babe3fe5f455" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_MaximumMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_srt_RangeMember_019e4b2b-cc29-7135-9990-9b7bbb9d6419" xlink:to="loc_srt_MaximumMember_019e4b2b-cc29-7295-ad2c-babe3fe5f455" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MinimumMember_019e4b2b-cc29-7f3a-ab9d-38f7e55f2233" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_MinimumMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_srt_RangeMember_019e4b2b-cc29-7135-9990-9b7bbb9d6419" xlink:to="loc_srt_MinimumMember_019e4b2b-cc29-7f3a-ab9d-38f7e55f2233" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentAxis_019e4b2b-cc29-78e7-b745-09190c605aed" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_LineOfCreditFacilityTable_019e4b2b-cc29-79b7-8265-48e972cd4dac" xlink:to="loc_us-gaap_DebtInstrumentAxis_019e4b2b-cc29-78e7-b745-09190c605aed" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentNameDomain_019e4b2b-cc29-78e7-b745-09190c605aed_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentNameDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_DebtInstrumentAxis_019e4b2b-cc29-78e7-b745-09190c605aed" xlink:to="loc_us-gaap_DebtInstrumentNameDomain_019e4b2b-cc29-78e7-b745-09190c605aed_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentNameDomain_019e4b2b-cc29-7d28-9b89-e277ebcd1f4b" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentNameDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_DebtInstrumentAxis_019e4b2b-cc29-78e7-b745-09190c605aed" xlink:to="loc_us-gaap_DebtInstrumentNameDomain_019e4b2b-cc29-7d28-9b89-e277ebcd1f4b" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_SeniorUnsecuredNotes1050Due2028Member_019e4b2b-cc29-74ac-a840-06efea567e5a" xlink:href="rep-20260630.xsd#rep_SeniorUnsecuredNotes1050Due2028Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DebtInstrumentNameDomain_019e4b2b-cc29-7d28-9b89-e277ebcd1f4b" xlink:to="loc_rep_SeniorUnsecuredNotes1050Due2028Member_019e4b2b-cc29-74ac-a840-06efea567e5a" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentRedemptionPeriodAxis_019e4b2b-cc29-7d3a-a800-dc6e9394a45d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentRedemptionPeriodAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_LineOfCreditFacilityTable_019e4b2b-cc29-79b7-8265-48e972cd4dac" xlink:to="loc_us-gaap_DebtInstrumentRedemptionPeriodAxis_019e4b2b-cc29-7d3a-a800-dc6e9394a45d" xlink:type="arc" order="5"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentRedemptionPeriodDomain_019e4b2b-cc29-7d3a-a800-dc6e9394a45d_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentRedemptionPeriodDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_DebtInstrumentRedemptionPeriodAxis_019e4b2b-cc29-7d3a-a800-dc6e9394a45d" xlink:to="loc_us-gaap_DebtInstrumentRedemptionPeriodDomain_019e4b2b-cc29-7d3a-a800-dc6e9394a45d_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentRedemptionPeriodDomain_019e4b2b-cc29-7929-962b-63766f7c154e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentRedemptionPeriodDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_DebtInstrumentRedemptionPeriodAxis_019e4b2b-cc29-7d3a-a800-dc6e9394a45d" xlink:to="loc_us-gaap_DebtInstrumentRedemptionPeriodDomain_019e4b2b-cc29-7929-962b-63766f7c154e" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentRedemptionPeriodTwoMember_019e4b2b-cc29-7d9f-a75d-723844f0e3c7" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentRedemptionPeriodTwoMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DebtInstrumentRedemptionPeriodDomain_019e4b2b-cc29-7929-962b-63766f7c154e" xlink:to="loc_us-gaap_DebtInstrumentRedemptionPeriodTwoMember_019e4b2b-cc29-7d9f-a75d-723844f0e3c7" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentRedemptionPeriodThreeMember_019e4b2b-cc29-77ce-abf3-1c72f369bc1a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentRedemptionPeriodThreeMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DebtInstrumentRedemptionPeriodDomain_019e4b2b-cc29-7929-962b-63766f7c154e" xlink:to="loc_us-gaap_DebtInstrumentRedemptionPeriodThreeMember_019e4b2b-cc29-77ce-abf3-1c72f369bc1a" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_019fa5ab-03d6-79a9-b26c-df67db63fba0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-71c4-80ac-3e4fef7a5b20" xlink:to="loc_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_019fa5ab-03d6-79a9-b26c-df67db63fba0" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityCurrentBorrowingCapacity_019e4b2b-cc29-7ff6-b9e4-a989c1d6c1b1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditFacilityCurrentBorrowingCapacity"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-71c4-80ac-3e4fef7a5b20" xlink:to="loc_us-gaap_LineOfCreditFacilityCurrentBorrowingCapacity_019e4b2b-cc29-7ff6-b9e4-a989c1d6c1b1" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_DebtInstrumentExtendedMaturityEarlierPeriodTerm_019e4b2b-cc29-73da-b53d-bb50bf18e5f3" xlink:href="rep-20260630.xsd#rep_DebtInstrumentExtendedMaturityEarlierPeriodTerm"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-71c4-80ac-3e4fef7a5b20" xlink:to="loc_rep_DebtInstrumentExtendedMaturityEarlierPeriodTerm_019e4b2b-cc29-73da-b53d-bb50bf18e5f3" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_DebtInstrumentCovenantLeverageRatio_019e4b2b-cc29-7106-950a-66b3bcf12c85" xlink:href="rep-20260630.xsd#rep_DebtInstrumentCovenantLeverageRatio"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-71c4-80ac-3e4fef7a5b20" xlink:to="loc_rep_DebtInstrumentCovenantLeverageRatio_019e4b2b-cc29-7106-950a-66b3bcf12c85" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_DebtInstrumentCovenantCurrentRatio_019e4b2b-cc29-79c5-a793-0b26316846d3" xlink:href="rep-20260630.xsd#rep_DebtInstrumentCovenantCurrentRatio"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-71c4-80ac-3e4fef7a5b20" xlink:to="loc_rep_DebtInstrumentCovenantCurrentRatio_019e4b2b-cc29-79c5-a793-0b26316846d3" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_DebtInstrumentCovenantLeverageRatioForRestrictedPayments_019e4b2b-cc29-7642-94d6-4ed0a8c858f0" xlink:href="rep-20260630.xsd#rep_DebtInstrumentCovenantLeverageRatioForRestrictedPayments"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-71c4-80ac-3e4fef7a5b20" xlink:to="loc_rep_DebtInstrumentCovenantLeverageRatioForRestrictedPayments_019e4b2b-cc29-7642-94d6-4ed0a8c858f0" xlink:type="arc" order="5"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_DebtInstrumentCovenantLeverageRatioForRestrictedPaymentsAfterProFormaEffect_019e4b2b-cc29-752a-a93c-5e86915d5488" xlink:href="rep-20260630.xsd#rep_DebtInstrumentCovenantLeverageRatioForRestrictedPaymentsAfterProFormaEffect"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-71c4-80ac-3e4fef7a5b20" xlink:to="loc_rep_DebtInstrumentCovenantLeverageRatioForRestrictedPaymentsAfterProFormaEffect_019e4b2b-cc29-752a-a93c-5e86915d5488" xlink:type="arc" order="6"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_DebtInstrumentCovenantOutstandingBalancePercentage_019e4b2b-cc29-76ee-a107-c2c548d9e557" xlink:href="rep-20260630.xsd#rep_DebtInstrumentCovenantOutstandingBalancePercentage"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-71c4-80ac-3e4fef7a5b20" xlink:to="loc_rep_DebtInstrumentCovenantOutstandingBalancePercentage_019e4b2b-cc29-76ee-a107-c2c548d9e557" xlink:type="arc" order="7"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_DebtInstrumentCovenantHedgingRequirementRatioTerm_019e4b2b-cc29-79ac-b119-ccec7b82e7a2" xlink:href="rep-20260630.xsd#rep_DebtInstrumentCovenantHedgingRequirementRatioTerm"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-71c4-80ac-3e4fef7a5b20" xlink:to="loc_rep_DebtInstrumentCovenantHedgingRequirementRatioTerm_019e4b2b-cc29-79ac-b119-ccec7b82e7a2" xlink:type="arc" order="8"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentFaceAmount_019e4b2b-cc29-7b38-a989-dc84ae30e1b0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentFaceAmount"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-71c4-80ac-3e4fef7a5b20" xlink:to="loc_us-gaap_DebtInstrumentFaceAmount_019e4b2b-cc29-7b38-a989-dc84ae30e1b0" xlink:type="arc" order="9"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentInterestRateStatedPercentage_019e4b2b-cc29-7b2d-bb44-a39a450a2cd3" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentInterestRateStatedPercentage"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-71c4-80ac-3e4fef7a5b20" xlink:to="loc_us-gaap_DebtInstrumentInterestRateStatedPercentage_019e4b2b-cc29-7b2d-bb44-a39a450a2cd3" xlink:type="arc" order="10"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_DebtInstrumentDiscountPercentage_019e4b2b-cc29-7bc2-8537-3a4f6d478a66" xlink:href="rep-20260630.xsd#rep_DebtInstrumentDiscountPercentage"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-71c4-80ac-3e4fef7a5b20" xlink:to="loc_rep_DebtInstrumentDiscountPercentage_019e4b2b-cc29-7bc2-8537-3a4f6d478a66" xlink:type="arc" order="11"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_DebtInstrumentPeriodicPaymentPrincipalPercentage_019e4b2b-cc29-7303-9e81-0a6e398b6a6b" xlink:href="rep-20260630.xsd#rep_DebtInstrumentPeriodicPaymentPrincipalPercentage"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-71c4-80ac-3e4fef7a5b20" xlink:to="loc_rep_DebtInstrumentPeriodicPaymentPrincipalPercentage_019e4b2b-cc29-7303-9e81-0a6e398b6a6b" xlink:type="arc" order="12"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentPeriodicPaymentPrincipal_019e4b2b-cc29-7518-a4c3-4fbe5c382003" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentPeriodicPaymentPrincipal"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-71c4-80ac-3e4fef7a5b20" xlink:to="loc_us-gaap_DebtInstrumentPeriodicPaymentPrincipal_019e4b2b-cc29-7518-a4c3-4fbe5c382003" xlink:type="arc" order="13"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtCurrent_019e4b2b-cc29-7615-9a99-6e8647bd9b6d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongTermDebtCurrent"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-71c4-80ac-3e4fef7a5b20" xlink:to="loc_us-gaap_LongTermDebtCurrent_019e4b2b-cc29-7615-9a99-6e8647bd9b6d" xlink:type="arc" order="14"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentRedemptionPricePercentage_019e4b2b-cc29-7aeb-b519-94f17b5e9183" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentRedemptionPricePercentage"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-71c4-80ac-3e4fef7a5b20" xlink:to="loc_us-gaap_DebtInstrumentRedemptionPricePercentage_019e4b2b-cc29-7aeb-b519-94f17b5e9183" xlink:type="arc" order="15"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_DebtInstrumentPremiumPercentage_019e4b2b-cc29-7fca-a8f4-91ed178b0471" xlink:href="rep-20260630.xsd#rep_DebtInstrumentPremiumPercentage"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-71c4-80ac-3e4fef7a5b20" xlink:to="loc_rep_DebtInstrumentPremiumPercentage_019e4b2b-cc29-7fca-a8f4-91ed178b0471" xlink:type="arc" order="16"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_DebtInstrumentCovenantAssetCoverageRatio_019e4b2b-cc29-7834-a0d4-0126e6682ed9" xlink:href="rep-20260630.xsd#rep_DebtInstrumentCovenantAssetCoverageRatio"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-71c4-80ac-3e4fef7a5b20" xlink:to="loc_rep_DebtInstrumentCovenantAssetCoverageRatio_019e4b2b-cc29-7834-a0d4-0126e6682ed9" xlink:type="arc" order="17"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_DebtInstrumentCovenantLeverageRatioRestrictedPayments_019e4b2b-cc29-7b4d-a462-12362a1a91e1" xlink:href="rep-20260630.xsd#rep_DebtInstrumentCovenantLeverageRatioRestrictedPayments"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-71c4-80ac-3e4fef7a5b20" xlink:to="loc_rep_DebtInstrumentCovenantLeverageRatioRestrictedPayments_019e4b2b-cc29-7b4d-a462-12362a1a91e1" xlink:type="arc" order="18"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_DebtInstrumentCovenantAssetCoverageRatioForRestrictedPaymentsAfterProFormaEffect_019e4b2b-cc29-74bb-9cbe-1c46bac4dc6a" xlink:href="rep-20260630.xsd#rep_DebtInstrumentCovenantAssetCoverageRatioForRestrictedPaymentsAfterProFormaEffect"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-71c4-80ac-3e4fef7a5b20" xlink:to="loc_rep_DebtInstrumentCovenantAssetCoverageRatioForRestrictedPaymentsAfterProFormaEffect_019e4b2b-cc29-74bb-9cbe-1c46bac4dc6a" xlink:type="arc" order="19"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_DebtInstrumentCovenantHedgingRequirementMinimumTerm_019e4b2b-cc29-72ed-b0c3-a4187ec28c95" xlink:href="rep-20260630.xsd#rep_DebtInstrumentCovenantHedgingRequirementMinimumTerm"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-71c4-80ac-3e4fef7a5b20" xlink:to="loc_rep_DebtInstrumentCovenantHedgingRequirementMinimumTerm_019e4b2b-cc29-72ed-b0c3-a4187ec28c95" xlink:type="arc" order="20"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtWeightedAverageInterestRate_019e4b2b-cc29-7a49-bb22-a2d4d1b570ba" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtWeightedAverageInterestRate"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-71c4-80ac-3e4fef7a5b20" xlink:to="loc_us-gaap_DebtWeightedAverageInterestRate_019e4b2b-cc29-7a49-bb22-a2d4d1b570ba" xlink:type="arc" order="21"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentUnamortizedDiscount_019e4b2b-cc29-7349-b68c-ad5d13902e09" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentUnamortizedDiscount"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-71c4-80ac-3e4fef7a5b20" xlink:to="loc_us-gaap_DebtInstrumentUnamortizedDiscount_019e4b2b-cc29-7349-b68c-ad5d13902e09" xlink:type="arc" order="22"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredFinanceCostsNet_019e4b2b-cc29-7026-b784-8643e4579171" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredFinanceCostsNet"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-71c4-80ac-3e4fef7a5b20" xlink:to="loc_us-gaap_DeferredFinanceCostsNet_019e4b2b-cc29-7026-b784-8643e4579171" xlink:type="arc" order="23"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentInterestRateEffectivePercentage_019e4b2b-cc29-73bc-9219-6a0f4244e2c1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentInterestRateEffectivePercentage"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-71c4-80ac-3e4fef7a5b20" xlink:to="loc_us-gaap_DebtInstrumentInterestRateEffectivePercentage_019e4b2b-cc29-73bc-9219-6a0f4244e2c1" xlink:type="arc" order="24"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/LongTermDebtSummaryofCreditFacilityBalancesDetails" xlink:type="simple" xlink:href="rep-20260630.xsd#LongTermDebtSummaryofCreditFacilityBalancesDetails"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/LongTermDebtSummaryofCreditFacilityBalancesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-7e64-85de-8ce5d57da905" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditFacilityLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityTable_019e4b2b-cc29-7320-b44d-b93c867d2a53" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditFacilityTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-7e64-85de-8ce5d57da905" xlink:to="loc_us-gaap_LineOfCreditFacilityTable_019e4b2b-cc29-7320-b44d-b93c867d2a53" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityAxis_019e4b2b-cc29-7769-a9ed-d2e91455a98f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CreditFacilityAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_LineOfCreditFacilityTable_019e4b2b-cc29-7320-b44d-b93c867d2a53" xlink:to="loc_us-gaap_CreditFacilityAxis_019e4b2b-cc29-7769-a9ed-d2e91455a98f" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityDomain_019e4b2b-cc29-7769-a9ed-d2e91455a98f_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CreditFacilityDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_CreditFacilityAxis_019e4b2b-cc29-7769-a9ed-d2e91455a98f" xlink:to="loc_us-gaap_CreditFacilityDomain_019e4b2b-cc29-7769-a9ed-d2e91455a98f_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityDomain_019e4b2b-cc29-7278-8f40-d0577d50b311" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CreditFacilityDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_CreditFacilityAxis_019e4b2b-cc29-7769-a9ed-d2e91455a98f" xlink:to="loc_us-gaap_CreditFacilityDomain_019e4b2b-cc29-7278-8f40-d0577d50b311" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevolvingCreditFacilityMember_019e4b2b-cc29-7b87-afbe-e7d0079279ea" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RevolvingCreditFacilityMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_CreditFacilityDomain_019e4b2b-cc29-7278-8f40-d0577d50b311" xlink:to="loc_us-gaap_RevolvingCreditFacilityMember_019e4b2b-cc29-7b87-afbe-e7d0079279ea" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeAxis_019e4b2b-cc29-799d-932e-f85be9ad4fea" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongtermDebtTypeAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_LineOfCreditFacilityTable_019e4b2b-cc29-7320-b44d-b93c867d2a53" xlink:to="loc_us-gaap_LongtermDebtTypeAxis_019e4b2b-cc29-799d-932e-f85be9ad4fea" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-799d-932e-f85be9ad4fea_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongtermDebtTypeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_LongtermDebtTypeAxis_019e4b2b-cc29-799d-932e-f85be9ad4fea" xlink:to="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-799d-932e-f85be9ad4fea_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-7164-9651-46b60cf6103b" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongtermDebtTypeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_LongtermDebtTypeAxis_019e4b2b-cc29-799d-932e-f85be9ad4fea" xlink:to="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-7164-9651-46b60cf6103b" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditMember_019e4b2b-cc29-7151-9dd6-20793810a6fb" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-7164-9651-46b60cf6103b" xlink:to="loc_us-gaap_LineOfCreditMember_019e4b2b-cc29-7151-9dd6-20793810a6fb" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermLineOfCredit_019e4b2b-cc29-75e1-b12c-44c53ba21196" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongTermLineOfCredit"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-7e64-85de-8ce5d57da905" xlink:to="loc_us-gaap_LongTermLineOfCredit_019e4b2b-cc29-75e1-b12c-44c53ba21196" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity_019e4b2b-cc29-7ec5-b274-6e602bde6223" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-7e64-85de-8ce5d57da905" xlink:to="loc_us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity_019e4b2b-cc29-7ec5-b274-6e602bde6223" xlink:type="arc" order="1"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/LongTermDebtScheduleofComponentsofInterestExpenseDetails" xlink:type="simple" xlink:href="rep-20260630.xsd#LongTermDebtScheduleofComponentsofInterestExpenseDetails"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/LongTermDebtScheduleofComponentsofInterestExpenseDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-7503-91eb-4cb91d289ea5" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditFacilityLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityTable_019e4b2b-cc29-79fe-b1ba-19b5c5e2c20b" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditFacilityTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-7503-91eb-4cb91d289ea5" xlink:to="loc_us-gaap_LineOfCreditFacilityTable_019e4b2b-cc29-79fe-b1ba-19b5c5e2c20b" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentAxis_019e4b2b-cc29-77fc-840c-8ea973ed3494" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_LineOfCreditFacilityTable_019e4b2b-cc29-79fe-b1ba-19b5c5e2c20b" xlink:to="loc_us-gaap_DebtInstrumentAxis_019e4b2b-cc29-77fc-840c-8ea973ed3494" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentNameDomain_019e4b2b-cc29-77fc-840c-8ea973ed3494_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentNameDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_DebtInstrumentAxis_019e4b2b-cc29-77fc-840c-8ea973ed3494" xlink:to="loc_us-gaap_DebtInstrumentNameDomain_019e4b2b-cc29-77fc-840c-8ea973ed3494_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentNameDomain_019e4b2b-cc29-708c-86d6-6f012a4b3785" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentNameDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_DebtInstrumentAxis_019e4b2b-cc29-77fc-840c-8ea973ed3494" xlink:to="loc_us-gaap_DebtInstrumentNameDomain_019e4b2b-cc29-708c-86d6-6f012a4b3785" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_SeniorUnsecuredNotes1050Due2028Member_019e4b2b-cc29-74b5-a3ea-8d82ef8c6505" xlink:href="rep-20260630.xsd#rep_SeniorUnsecuredNotes1050Due2028Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_DebtInstrumentNameDomain_019e4b2b-cc29-708c-86d6-6f012a4b3785" xlink:to="loc_rep_SeniorUnsecuredNotes1050Due2028Member_019e4b2b-cc29-74b5-a3ea-8d82ef8c6505" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeAxis_019e4b2b-cc29-7549-85af-f767ef0b2c92" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongtermDebtTypeAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_LineOfCreditFacilityTable_019e4b2b-cc29-79fe-b1ba-19b5c5e2c20b" xlink:to="loc_us-gaap_LongtermDebtTypeAxis_019e4b2b-cc29-7549-85af-f767ef0b2c92" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-7549-85af-f767ef0b2c92_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongtermDebtTypeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_LongtermDebtTypeAxis_019e4b2b-cc29-7549-85af-f767ef0b2c92" xlink:to="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-7549-85af-f767ef0b2c92_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-7f8e-9dd4-4c2d0c7a0110" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongtermDebtTypeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_LongtermDebtTypeAxis_019e4b2b-cc29-7549-85af-f767ef0b2c92" xlink:to="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-7f8e-9dd4-4c2d0c7a0110" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SeniorNotesMember_019e4b2b-cc29-7973-b446-63381295d2fb" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SeniorNotesMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-7f8e-9dd4-4c2d0c7a0110" xlink:to="loc_us-gaap_SeniorNotesMember_019e4b2b-cc29-7973-b446-63381295d2fb" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditMember_019e4b2b-cc29-7ad7-b708-0de4f993e81d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LongtermDebtTypeDomain_019e4b2b-cc29-7f8e-9dd4-4c2d0c7a0110" xlink:to="loc_us-gaap_LineOfCreditMember_019e4b2b-cc29-7ad7-b708-0de4f993e81d" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityAxis_019e4b2b-cc29-7553-b055-57763b778179" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CreditFacilityAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_LineOfCreditFacilityTable_019e4b2b-cc29-79fe-b1ba-19b5c5e2c20b" xlink:to="loc_us-gaap_CreditFacilityAxis_019e4b2b-cc29-7553-b055-57763b778179" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityDomain_019e4b2b-cc29-7553-b055-57763b778179_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CreditFacilityDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_CreditFacilityAxis_019e4b2b-cc29-7553-b055-57763b778179" xlink:to="loc_us-gaap_CreditFacilityDomain_019e4b2b-cc29-7553-b055-57763b778179_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityDomain_019e4b2b-cc29-79ec-9036-bb4169113a04" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CreditFacilityDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_CreditFacilityAxis_019e4b2b-cc29-7553-b055-57763b778179" xlink:to="loc_us-gaap_CreditFacilityDomain_019e4b2b-cc29-79ec-9036-bb4169113a04" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevolvingCreditFacilityMember_019e4b2b-cc29-7cab-b872-d00f91c7a3c3" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RevolvingCreditFacilityMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_CreditFacilityDomain_019e4b2b-cc29-79ec-9036-bb4169113a04" xlink:to="loc_us-gaap_RevolvingCreditFacilityMember_019e4b2b-cc29-7cab-b872-d00f91c7a3c3" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseDebt_019e4b2b-cc29-7d3e-8a25-acb2b57964cc" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestExpenseDebt"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-7503-91eb-4cb91d289ea5" xlink:to="loc_us-gaap_InterestExpenseDebt_019e4b2b-cc29-7d3e-8a25-acb2b57964cc" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_InterestIncomeDebt_019e4b2b-cc29-74fd-931b-bee8eee6c7d3" xlink:href="rep-20260630.xsd#rep_InterestIncomeDebt"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-7503-91eb-4cb91d289ea5" xlink:to="loc_rep_InterestIncomeDebt_019e4b2b-cc29-74fd-931b-bee8eee6c7d3" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestCostsCapitalizedAdjustment_019e4b2b-cc29-7fa9-a755-976c4affcb0d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestCostsCapitalizedAdjustment"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-7503-91eb-4cb91d289ea5" xlink:to="loc_us-gaap_InterestCostsCapitalizedAdjustment_019e4b2b-cc29-7fa9-a755-976c4affcb0d" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AmortizationOfFinancingCosts_019e4b2b-cc29-78d3-82d1-c53a7934bbf4" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AmortizationOfFinancingCosts"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-7503-91eb-4cb91d289ea5" xlink:to="loc_us-gaap_AmortizationOfFinancingCosts_019e4b2b-cc29-78d3-82d1-c53a7934bbf4" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AmortizationOfDebtDiscountPremium_019e4b2b-cc29-7a44-a8b1-86f8512d62ac" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AmortizationOfDebtDiscountPremium"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-7503-91eb-4cb91d289ea5" xlink:to="loc_us-gaap_AmortizationOfDebtDiscountPremium_019e4b2b-cc29-7a44-a8b1-86f8512d62ac" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentUnusedBorrowingCapacityFee_019e4b2b-cc29-74c4-a01b-eb0c7ae09de4" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentUnusedBorrowingCapacityFee"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-7503-91eb-4cb91d289ea5" xlink:to="loc_us-gaap_DebtInstrumentUnusedBorrowingCapacityFee_019e4b2b-cc29-74c4-a01b-eb0c7ae09de4" xlink:type="arc" order="5"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestAndDebtExpense_019e4b2b-cc29-7c46-b03a-fe40e5b36657" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestAndDebtExpense"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems_019e4b2b-cc29-7503-91eb-4cb91d289ea5" xlink:to="loc_us-gaap_InterestAndDebtExpense_019e4b2b-cc29-7c46-b03a-fe40e5b36657" xlink:type="arc" order="6"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/ShareholdersEquityNarrativeDetails" xlink:type="simple" xlink:href="rep-20260630.xsd#ShareholdersEquityNarrativeDetails"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/ShareholdersEquityNarrativeDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ClassOfStockLineItems_019e4b2b-cc29-71ea-b3b6-a5947ca4bd66" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ClassOfStockLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfStockByClassTable_019e4b2b-cc29-7e91-a53c-5e439bee4782" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfStockByClassTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_ClassOfStockLineItems_019e4b2b-cc29-71ea-b3b6-a5947ca4bd66" xlink:to="loc_us-gaap_ScheduleOfStockByClassTable_019e4b2b-cc29-7e91-a53c-5e439bee4782" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PlanNameAxis_019e4b2b-cc29-7f30-8cd2-a7fba1fbf073" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PlanNameAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_ScheduleOfStockByClassTable_019e4b2b-cc29-7e91-a53c-5e439bee4782" xlink:to="loc_us-gaap_PlanNameAxis_019e4b2b-cc29-7f30-8cd2-a7fba1fbf073" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PlanNameDomain_019e4b2b-cc29-7f30-8cd2-a7fba1fbf073_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PlanNameDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_PlanNameAxis_019e4b2b-cc29-7f30-8cd2-a7fba1fbf073" xlink:to="loc_us-gaap_PlanNameDomain_019e4b2b-cc29-7f30-8cd2-a7fba1fbf073_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PlanNameDomain_019e4b2b-cc29-7596-91e0-30db1976050b" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PlanNameDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_PlanNameAxis_019e4b2b-cc29-7f30-8cd2-a7fba1fbf073" xlink:to="loc_us-gaap_PlanNameDomain_019e4b2b-cc29-7596-91e0-30db1976050b" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_ARLongTermInvestmentPlanMember_019e4b2b-cc29-76d5-a70f-37286396ccf2" xlink:href="rep-20260630.xsd#rep_ARLongTermInvestmentPlanMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_PlanNameDomain_019e4b2b-cc29-7596-91e0-30db1976050b" xlink:to="loc_rep_ARLongTermInvestmentPlanMember_019e4b2b-cc29-76d5-a70f-37286396ccf2" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AwardTypeAxis_019e4b2b-cc29-7b6d-859e-bb1e34fdffe9" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AwardTypeAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_ScheduleOfStockByClassTable_019e4b2b-cc29-7e91-a53c-5e439bee4782" xlink:to="loc_us-gaap_AwardTypeAxis_019e4b2b-cc29-7b6d-859e-bb1e34fdffe9" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_019e4b2b-cc29-7b6d-859e-bb1e34fdffe9_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_AwardTypeAxis_019e4b2b-cc29-7b6d-859e-bb1e34fdffe9" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_019e4b2b-cc29-7b6d-859e-bb1e34fdffe9_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_019e4b2b-cc29-7c8d-9317-3c0b67235a71" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_AwardTypeAxis_019e4b2b-cc29-7b6d-859e-bb1e34fdffe9" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_019e4b2b-cc29-7c8d-9317-3c0b67235a71" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PerformanceSharesMember_019e4b2b-cc29-7a41-b06c-bf25e23cfd01" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PerformanceSharesMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_019e4b2b-cc29-7c8d-9317-3c0b67235a71" xlink:to="loc_us-gaap_PerformanceSharesMember_019e4b2b-cc29-7a41-b06c-bf25e23cfd01" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeAxis_019e4b2b-cc29-7412-a27e-e236cad9f107" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RangeAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_ScheduleOfStockByClassTable_019e4b2b-cc29-7e91-a53c-5e439bee4782" xlink:to="loc_srt_RangeAxis_019e4b2b-cc29-7412-a27e-e236cad9f107" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeMember_019e4b2b-cc29-7412-a27e-e236cad9f107_default" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RangeMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_srt_RangeAxis_019e4b2b-cc29-7412-a27e-e236cad9f107" xlink:to="loc_srt_RangeMember_019e4b2b-cc29-7412-a27e-e236cad9f107_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeMember_019e4b2b-cc29-76a7-99e3-84ae93c38bc6" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_RangeMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_srt_RangeAxis_019e4b2b-cc29-7412-a27e-e236cad9f107" xlink:to="loc_srt_RangeMember_019e4b2b-cc29-76a7-99e3-84ae93c38bc6" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MinimumMember_019e4b2b-cc29-7783-a3a2-d3e5c43f6b0d" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_MinimumMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_srt_RangeMember_019e4b2b-cc29-76a7-99e3-84ae93c38bc6" xlink:to="loc_srt_MinimumMember_019e4b2b-cc29-7783-a3a2-d3e5c43f6b0d" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MaximumMember_019e4b2b-cc29-700b-9696-9ca5ac8a81b7" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_MaximumMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_srt_RangeMember_019e4b2b-cc29-76a7-99e3-84ae93c38bc6" xlink:to="loc_srt_MaximumMember_019e4b2b-cc29-700b-9696-9ca5ac8a81b7" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ShareRepurchaseProgramAxis_019e4b2b-cc29-7736-9214-ed4774230dcf" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ShareRepurchaseProgramAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_ScheduleOfStockByClassTable_019e4b2b-cc29-7e91-a53c-5e439bee4782" xlink:to="loc_srt_ShareRepurchaseProgramAxis_019e4b2b-cc29-7736-9214-ed4774230dcf" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ShareRepurchaseProgramDomain_019e4b2b-cc29-7736-9214-ed4774230dcf_default" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ShareRepurchaseProgramDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_srt_ShareRepurchaseProgramAxis_019e4b2b-cc29-7736-9214-ed4774230dcf" xlink:to="loc_srt_ShareRepurchaseProgramDomain_019e4b2b-cc29-7736-9214-ed4774230dcf_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ShareRepurchaseProgramDomain_019e4b2b-cc29-7932-b98b-754cf0197ccd" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ShareRepurchaseProgramDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_srt_ShareRepurchaseProgramAxis_019e4b2b-cc29-7736-9214-ed4774230dcf" xlink:to="loc_srt_ShareRepurchaseProgramDomain_019e4b2b-cc29-7932-b98b-754cf0197ccd" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_RepurchaseProgramMember_019e4b2b-cc29-71bb-9214-e2a5f9f57788" xlink:href="rep-20260630.xsd#rep_RepurchaseProgramMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_srt_ShareRepurchaseProgramDomain_019e4b2b-cc29-7932-b98b-754cf0197ccd" xlink:to="loc_rep_RepurchaseProgramMember_019e4b2b-cc29-71bb-9214-e2a5f9f57788" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DividendsCommonStockCash_019e4b2b-cc29-77b8-9ad1-b22aaee9ae3e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DividendsCommonStockCash"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ClassOfStockLineItems_019e4b2b-cc29-71ea-b3b6-a5947ca4bd66" xlink:to="loc_us-gaap_DividendsCommonStockCash_019e4b2b-cc29-77b8-9ad1-b22aaee9ae3e" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized_019e4b2b-cc29-7b12-bb2c-ef9aa7d2809e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ClassOfStockLineItems_019e4b2b-cc29-71ea-b3b6-a5947ca4bd66" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized_019e4b2b-cc29-7b12-bb2c-ef9aa7d2809e" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockSharesOutstanding_019e4b2b-cc29-781b-a263-70b08ae7973a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonStockSharesOutstanding"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ClassOfStockLineItems_019e4b2b-cc29-71ea-b3b6-a5947ca4bd66" xlink:to="loc_us-gaap_CommonStockSharesOutstanding_019e4b2b-cc29-781b-a263-70b08ae7973a" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1_019e4b2b-cc29-7231-a725-9d56658ab287" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ClassOfStockLineItems_019e4b2b-cc29-71ea-b3b6-a5947ca4bd66" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1_019e4b2b-cc29-7231-a725-9d56658ab287" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_ShareBasedCompensationArrangementByShareBasedPaymentAwardPayoutPercentage_019e4b2b-cc29-7f69-b451-7c6b3d6f2041" xlink:href="rep-20260630.xsd#rep_ShareBasedCompensationArrangementByShareBasedPaymentAwardPayoutPercentage"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ClassOfStockLineItems_019e4b2b-cc29-71ea-b3b6-a5947ca4bd66" xlink:to="loc_rep_ShareBasedCompensationArrangementByShareBasedPaymentAwardPayoutPercentage_019e4b2b-cc29-7f69-b451-7c6b3d6f2041" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_ShareBasedCompensationArrangementByShareBasedPaymentAwardCliffVestingTerm_019e4b2b-cc29-7ab7-8f52-aecbf479d458" xlink:href="rep-20260630.xsd#rep_ShareBasedCompensationArrangementByShareBasedPaymentAwardCliffVestingTerm"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ClassOfStockLineItems_019e4b2b-cc29-71ea-b3b6-a5947ca4bd66" xlink:to="loc_rep_ShareBasedCompensationArrangementByShareBasedPaymentAwardCliffVestingTerm_019e4b2b-cc29-7ab7-8f52-aecbf479d458" xlink:type="arc" order="5"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrantDecrease_019f85af-f737-70f0-885b-5a7d2ffb5fa0" xlink:href="rep-20260630.xsd#rep_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrantDecrease"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ClassOfStockLineItems_019e4b2b-cc29-71ea-b3b6-a5947ca4bd66" xlink:to="loc_rep_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrantDecrease_019f85af-f737-70f0-885b-5a7d2ffb5fa0" xlink:type="arc" order="6"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber_019e4b2b-cc29-78a9-a72c-c36a74d5f927" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ClassOfStockLineItems_019e4b2b-cc29-71ea-b3b6-a5947ca4bd66" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber_019e4b2b-cc29-78a9-a72c-c36a74d5f927" xlink:type="arc" order="7"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AllocatedShareBasedCompensationExpense_019e4b2b-cc29-7e0a-b32f-339f0a67b278" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AllocatedShareBasedCompensationExpense"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ClassOfStockLineItems_019e4b2b-cc29-71ea-b3b6-a5947ca4bd66" xlink:to="loc_us-gaap_AllocatedShareBasedCompensationExpense_019e4b2b-cc29-7e0a-b32f-339f0a67b278" xlink:type="arc" order="8"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_StockRepurchaseProgramAuthorizedAmount1_019e4b2b-cc29-7e03-bf07-bdc8441e99a5" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_StockRepurchaseProgramAuthorizedAmount1"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ClassOfStockLineItems_019e4b2b-cc29-71ea-b3b6-a5947ca4bd66" xlink:to="loc_srt_StockRepurchaseProgramAuthorizedAmount1_019e4b2b-cc29-7e03-bf07-bdc8441e99a5" xlink:type="arc" order="9"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_ShareRepurchaseProgramTerm_019e4b2b-cc29-7c3b-b801-6d8bf5b35d90" xlink:href="rep-20260630.xsd#rep_ShareRepurchaseProgramTerm"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ClassOfStockLineItems_019e4b2b-cc29-71ea-b3b6-a5947ca4bd66" xlink:to="loc_rep_ShareRepurchaseProgramTerm_019e4b2b-cc29-7c3b-b801-6d8bf5b35d90" xlink:type="arc" order="10"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockRepurchasedDuringPeriodShares_019e4b2b-cc29-784b-810f-8345497a6a23" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockRepurchasedDuringPeriodShares"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ClassOfStockLineItems_019e4b2b-cc29-71ea-b3b6-a5947ca4bd66" xlink:to="loc_us-gaap_StockRepurchasedDuringPeriodShares_019e4b2b-cc29-784b-810f-8345497a6a23" xlink:type="arc" order="11"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1_019e4b2b-cc29-7884-8918-b3577f4075f7" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ClassOfStockLineItems_019e4b2b-cc29-71ea-b3b6-a5947ca4bd66" xlink:to="loc_us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1_019e4b2b-cc29-7884-8918-b3577f4075f7" xlink:type="arc" order="12"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/ShareholdersEquityScheduleofSharebasedCompensationArrangementbySharebasedPaymentAwardPerformanceVestingPercentageDetails" xlink:type="simple" xlink:href="rep-20260630.xsd#ShareholdersEquityScheduleofSharebasedCompensationArrangementbySharebasedPaymentAwardPerformanceVestingPercentageDetails"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/ShareholdersEquityScheduleofSharebasedCompensationArrangementbySharebasedPaymentAwardPerformanceVestingPercentageDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_019e4b2b-ccf2-7b1c-a43a-db259e3f1e47" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_019e4b2b-ccf2-72d4-bd0b-83dc1f383227" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_019e4b2b-ccf2-7b1c-a43a-db259e3f1e47" xlink:to="loc_us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_019e4b2b-ccf2-72d4-bd0b-83dc1f383227" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AwardTypeAxis_019e4b2b-ccf2-7e83-a42a-56388c826cac" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AwardTypeAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_019e4b2b-ccf2-72d4-bd0b-83dc1f383227" xlink:to="loc_us-gaap_AwardTypeAxis_019e4b2b-ccf2-7e83-a42a-56388c826cac" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_019e4b2b-ccf2-7e83-a42a-56388c826cac_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_AwardTypeAxis_019e4b2b-ccf2-7e83-a42a-56388c826cac" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_019e4b2b-ccf2-7e83-a42a-56388c826cac_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_019e4b2b-ccf2-7744-beff-4a71474af5b1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_AwardTypeAxis_019e4b2b-ccf2-7e83-a42a-56388c826cac" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_019e4b2b-ccf2-7744-beff-4a71474af5b1" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PerformanceSharesMember_019e4b2b-ccf2-715d-a020-34b3efbf7afe" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PerformanceSharesMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_019e4b2b-ccf2-7744-beff-4a71474af5b1" xlink:to="loc_us-gaap_PerformanceSharesMember_019e4b2b-ccf2-715d-a020-34b3efbf7afe" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExercisePrice_019e4b2b-ccf2-7b26-9992-f8822513e7cc" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExercisePrice"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_019e4b2b-ccf2-7b1c-a43a-db259e3f1e47" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExercisePrice_019e4b2b-ccf2-7b26-9992-f8822513e7cc" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate_019e4b2b-ccf2-74dd-98b8-e2b3726fa510" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_019e4b2b-ccf2-7b1c-a43a-db259e3f1e47" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate_019e4b2b-ccf2-74dd-98b8-e2b3726fa510" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate_019e4b2b-ccf2-7134-b5d4-aeffb7bb8a60" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_019e4b2b-ccf2-7b1c-a43a-db259e3f1e47" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate_019e4b2b-ccf2-7134-b5d4-aeffb7bb8a60" xlink:type="arc" order="2"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/ShareholdersEquityScheduleofRestrictedStockActivityDetails" xlink:type="simple" xlink:href="rep-20260630.xsd#ShareholdersEquityScheduleofRestrictedStockActivityDetails"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/ShareholdersEquityScheduleofRestrictedStockActivityDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_019e4b2b-ccf2-7756-a066-4f2eb6a74c83" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_019e4b2b-ccf2-74ec-93f9-7a09d368f087" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_019e4b2b-ccf2-7756-a066-4f2eb6a74c83" xlink:to="loc_us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_019e4b2b-ccf2-74ec-93f9-7a09d368f087" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AwardTypeAxis_019e4b2b-ccf2-7b12-aa37-4d4536d2cc39" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AwardTypeAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_019e4b2b-ccf2-74ec-93f9-7a09d368f087" xlink:to="loc_us-gaap_AwardTypeAxis_019e4b2b-ccf2-7b12-aa37-4d4536d2cc39" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_019e4b2b-ccf2-7b12-aa37-4d4536d2cc39_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_AwardTypeAxis_019e4b2b-ccf2-7b12-aa37-4d4536d2cc39" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_019e4b2b-ccf2-7b12-aa37-4d4536d2cc39_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_019e4b2b-ccf2-7d26-846e-31cf0d0f0ebb" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_AwardTypeAxis_019e4b2b-ccf2-7b12-aa37-4d4536d2cc39" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_019e4b2b-ccf2-7d26-846e-31cf0d0f0ebb" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedStockMember_019e4b2b-ccf2-722c-8d99-c139dfc53014" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RestrictedStockMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_019e4b2b-ccf2-7d26-846e-31cf0d0f0ebb" xlink:to="loc_us-gaap_RestrictedStockMember_019e4b2b-ccf2-722c-8d99-c139dfc53014" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PlanNameAxis_019e4b2b-ccf2-78cf-a8d8-ef0cbda7536c" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PlanNameAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_019e4b2b-ccf2-74ec-93f9-7a09d368f087" xlink:to="loc_us-gaap_PlanNameAxis_019e4b2b-ccf2-78cf-a8d8-ef0cbda7536c" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PlanNameDomain_019e4b2b-ccf2-78cf-a8d8-ef0cbda7536c_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PlanNameDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_PlanNameAxis_019e4b2b-ccf2-78cf-a8d8-ef0cbda7536c" xlink:to="loc_us-gaap_PlanNameDomain_019e4b2b-ccf2-78cf-a8d8-ef0cbda7536c_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PlanNameDomain_019e4b2b-ccf2-7341-8c16-3c8a5c1af33a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PlanNameDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_PlanNameAxis_019e4b2b-ccf2-78cf-a8d8-ef0cbda7536c" xlink:to="loc_us-gaap_PlanNameDomain_019e4b2b-ccf2-7341-8c16-3c8a5c1af33a" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_LongTermInvestmentPlan2021Member_019e4b2b-ccf2-76ed-b43d-7069cf255f0f" xlink:href="rep-20260630.xsd#rep_LongTermInvestmentPlan2021Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_PlanNameDomain_019e4b2b-ccf2-7341-8c16-3c8a5c1af33a" xlink:to="loc_rep_LongTermInvestmentPlan2021Member_019e4b2b-ccf2-76ed-b43d-7069cf255f0f" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedRollForward_019e4b2b-ccf2-7b1e-b583-ded7d38fe812" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedRollForward"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_019e4b2b-ccf2-7756-a066-4f2eb6a74c83" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedRollForward_019e4b2b-ccf2-7b1e-b583-ded7d38fe812" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber_019e4b2b-ccf2-7330-b427-f8d26c8dc045" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedRollForward_019e4b2b-ccf2-7b1e-b583-ded7d38fe812" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber_019e4b2b-ccf2-7330-b427-f8d26c8dc045" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod_019e4b2b-ccf2-79ee-961f-02f247711078" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedRollForward_019e4b2b-ccf2-7b1e-b583-ded7d38fe812" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod_019e4b2b-ccf2-79ee-961f-02f247711078" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod_019e4b2b-ccf2-7d8d-91b7-55d926d61bf2" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedRollForward_019e4b2b-ccf2-7b1e-b583-ded7d38fe812" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod_019e4b2b-ccf2-7d8d-91b7-55d926d61bf2" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod_019e4b2b-ccf2-76c8-be1e-bf28fb12ea5c" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedRollForward_019e4b2b-ccf2-7b1e-b583-ded7d38fe812" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod_019e4b2b-ccf2-76c8-be1e-bf28fb12ea5c" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber_019e4b2b-ccf2-7ce0-9913-4159a261f276" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValueRollForward_019e4b2b-ccf2-76f8-917a-a379fa8457ca" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValueRollForward"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_019e4b2b-ccf2-7756-a066-4f2eb6a74c83" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValueRollForward_019e4b2b-ccf2-76f8-917a-a379fa8457ca" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue_019e4b2b-ccf2-7d8c-8ec1-f6720c295084" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValueRollForward_019e4b2b-ccf2-76f8-917a-a379fa8457ca" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue_019e4b2b-ccf2-7d8c-8ec1-f6720c295084" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_019e4b2b-ccf2-7031-8fea-551bfadbdc63" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValueRollForward_019e4b2b-ccf2-76f8-917a-a379fa8457ca" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_019e4b2b-ccf2-7031-8fea-551bfadbdc63" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodWeightedAverageGrantDateFairValue_019e4b2b-ccf2-712f-b56e-b986ada33ae4" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodWeightedAverageGrantDateFairValue"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValueRollForward_019e4b2b-ccf2-76f8-917a-a379fa8457ca" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodWeightedAverageGrantDateFairValue_019e4b2b-ccf2-712f-b56e-b986ada33ae4" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeituresWeightedAverageGrantDateFairValue_019e4b2b-ccf2-7c0a-943c-30e2dae25d38" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeituresWeightedAverageGrantDateFairValue"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValueRollForward_019e4b2b-ccf2-76f8-917a-a379fa8457ca" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeituresWeightedAverageGrantDateFairValue_019e4b2b-ccf2-7c0a-943c-30e2dae25d38" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue_019e4b2b-ccf2-70bf-b9dd-6ad102733cf1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/ShareholdersEquityScheduleofUnrecognizedShareBasedCompensationExpenseDetails" xlink:type="simple" xlink:href="rep-20260630.xsd#ShareholdersEquityScheduleofUnrecognizedShareBasedCompensationExpenseDetails"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/ShareholdersEquityScheduleofUnrecognizedShareBasedCompensationExpenseDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_019e4b2b-ccf2-71a4-bf30-007365806ab9" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_019e4b2b-ccf2-75b9-b7bd-a3c196bba50c" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_019e4b2b-ccf2-71a4-bf30-007365806ab9" xlink:to="loc_us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_019e4b2b-ccf2-75b9-b7bd-a3c196bba50c" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AwardTypeAxis_019e4b2b-ccf2-7ed1-8779-12f3f8000fe7" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AwardTypeAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_019e4b2b-ccf2-75b9-b7bd-a3c196bba50c" xlink:to="loc_us-gaap_AwardTypeAxis_019e4b2b-ccf2-7ed1-8779-12f3f8000fe7" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_019e4b2b-ccf2-7ed1-8779-12f3f8000fe7_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_AwardTypeAxis_019e4b2b-ccf2-7ed1-8779-12f3f8000fe7" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_019e4b2b-ccf2-7ed1-8779-12f3f8000fe7_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_019e4b2b-ccf2-7456-86e7-81f050b46ea6" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_AwardTypeAxis_019e4b2b-ccf2-7ed1-8779-12f3f8000fe7" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_019e4b2b-ccf2-7456-86e7-81f050b46ea6" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedStockMember_019e4b2b-ccf2-71fa-8cf8-5898e39e78cc" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RestrictedStockMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_019e4b2b-ccf2-7456-86e7-81f050b46ea6" xlink:to="loc_us-gaap_RestrictedStockMember_019e4b2b-ccf2-71fa-8cf8-5898e39e78cc" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PerformanceSharesMember_019e4b2b-ccf2-735c-aec1-b849a437f67f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PerformanceSharesMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_019e4b2b-ccf2-7456-86e7-81f050b46ea6" xlink:to="loc_us-gaap_PerformanceSharesMember_019e4b2b-ccf2-735c-aec1-b849a437f67f" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized_019e4b2b-ccf2-751a-a612-73bfd521d387" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_019e4b2b-ccf2-71a4-bf30-007365806ab9" xlink:to="loc_us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized_019e4b2b-ccf2-751a-a612-73bfd521d387" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1_019e4b2b-ccf2-7573-8969-2a41395fb1bd" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_019e4b2b-ccf2-71a4-bf30-007365806ab9" xlink:to="loc_us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1_019e4b2b-ccf2-7573-8969-2a41395fb1bd" xlink:type="arc" order="1"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/IncomeTaxesScheduleofIncomeTaxesNetofRefundDetails" xlink:type="simple" xlink:href="rep-20260630.xsd#IncomeTaxesScheduleofIncomeTaxesNetofRefundDetails"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/IncomeTaxesScheduleofIncomeTaxesNetofRefundDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxPaidByIndividualJurisdictionLineItems_019f37d5-fdea-7702-a905-9c7a82c385f3" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxPaidByIndividualJurisdictionLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxPaidByIndividualJurisdictionTable_019f37d5-fdea-7aa1-8cc1-096fc71f9cdf" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxPaidByIndividualJurisdictionTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_IncomeTaxPaidByIndividualJurisdictionLineItems_019f37d5-fdea-7702-a905-9c7a82c385f3" xlink:to="loc_us-gaap_IncomeTaxPaidByIndividualJurisdictionTable_019f37d5-fdea-7aa1-8cc1-096fc71f9cdf" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxAuthorityAxis_019f37d5-fdea-74a4-9b5a-3f049156ce61" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxAuthorityAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_IncomeTaxPaidByIndividualJurisdictionTable_019f37d5-fdea-7aa1-8cc1-096fc71f9cdf" xlink:to="loc_us-gaap_IncomeTaxAuthorityAxis_019f37d5-fdea-74a4-9b5a-3f049156ce61" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxAuthorityDomain_019f37d5-fdea-74a4-9b5a-3f049156ce61_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxAuthorityDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_IncomeTaxAuthorityAxis_019f37d5-fdea-74a4-9b5a-3f049156ce61" xlink:to="loc_us-gaap_IncomeTaxAuthorityDomain_019f37d5-fdea-74a4-9b5a-3f049156ce61_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxAuthorityDomain_019f37d5-fdea-7d99-8ead-5adad4222fe3" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxAuthorityDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_IncomeTaxAuthorityAxis_019f37d5-fdea-74a4-9b5a-3f049156ce61" xlink:to="loc_us-gaap_IncomeTaxAuthorityDomain_019f37d5-fdea-7d99-8ead-5adad4222fe3" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StateAndLocalJurisdictionMember_019f6ed6-c24d-7bdd-908e-aba621325736" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StateAndLocalJurisdictionMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_IncomeTaxAuthorityDomain_019f37d5-fdea-7d99-8ead-5adad4222fe3" xlink:to="loc_us-gaap_StateAndLocalJurisdictionMember_019f6ed6-c24d-7bdd-908e-aba621325736" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_stpr_NM_019f37d5-fdea-7418-98e0-d6ca905edcfb" xlink:href="https://xbrl.sec.gov/stpr/2026/stpr-2026.xsd#stpr_NM"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_StateAndLocalJurisdictionMember_019f6ed6-c24d-7bdd-908e-aba621325736" xlink:to="loc_stpr_NM_019f37d5-fdea-7418-98e0-d6ca905edcfb" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_stpr_TX_019f37d5-fdea-7218-bec9-924572426aae" xlink:href="https://xbrl.sec.gov/stpr/2026/stpr-2026.xsd#stpr_TX"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_StateAndLocalJurisdictionMember_019f6ed6-c24d-7bdd-908e-aba621325736" xlink:to="loc_stpr_TX_019f37d5-fdea-7218-bec9-924572426aae" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxPaidFederalAfterRefundReceived_019f37d5-fdea-7900-b0b8-4e3f1a8278ff" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxPaidFederalAfterRefundReceived"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_IncomeTaxPaidByIndividualJurisdictionLineItems_019f37d5-fdea-7702-a905-9c7a82c385f3" xlink:to="loc_us-gaap_IncomeTaxPaidFederalAfterRefundReceived_019f37d5-fdea-7900-b0b8-4e3f1a8278ff" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxPaidStateAndLocalAfterRefundReceived_019f37d5-fdea-72dd-a216-ce4c2e2d3bfb" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxPaidStateAndLocalAfterRefundReceived"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_IncomeTaxPaidByIndividualJurisdictionLineItems_019f37d5-fdea-7702-a905-9c7a82c385f3" xlink:to="loc_us-gaap_IncomeTaxPaidStateAndLocalAfterRefundReceived_019f37d5-fdea-72dd-a216-ce4c2e2d3bfb" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxesPaidNet_019f37d5-fdea-7b9a-a726-a77d67ffee0c" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxesPaidNet"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_IncomeTaxPaidByIndividualJurisdictionLineItems_019f37d5-fdea-7702-a905-9c7a82c385f3" xlink:to="loc_us-gaap_IncomeTaxesPaidNet_019f37d5-fdea-7b9a-a726-a77d67ffee0c" xlink:type="arc" order="2"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/NetIncomePerShareScheduleofAntiDilutiveSharesDetails" xlink:type="simple" xlink:href="rep-20260630.xsd#NetIncomePerShareScheduleofAntiDilutiveSharesDetails"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/NetIncomePerShareScheduleofAntiDilutiveSharesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareLineItems_019e4b2b-ccf2-7e92-9720-0193f1c50d81" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTable_019e4b2b-ccf2-7900-9b05-45f76aad6f80" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareLineItems_019e4b2b-ccf2-7e92-9720-0193f1c50d81" xlink:to="loc_us-gaap_ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTable_019e4b2b-ccf2-7900-9b05-45f76aad6f80" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis_019e4b2b-ccf2-7582-8f21-00d6eab1f678" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTable_019e4b2b-ccf2-7900-9b05-45f76aad6f80" xlink:to="loc_us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis_019e4b2b-ccf2-7582-8f21-00d6eab1f678" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AntidilutiveSecuritiesNameDomain_019e4b2b-ccf2-7582-8f21-00d6eab1f678_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AntidilutiveSecuritiesNameDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis_019e4b2b-ccf2-7582-8f21-00d6eab1f678" xlink:to="loc_us-gaap_AntidilutiveSecuritiesNameDomain_019e4b2b-ccf2-7582-8f21-00d6eab1f678_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AntidilutiveSecuritiesNameDomain_019e4b2b-ccf2-75bd-801c-091af7c1d644" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AntidilutiveSecuritiesNameDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis_019e4b2b-ccf2-7582-8f21-00d6eab1f678" xlink:to="loc_us-gaap_AntidilutiveSecuritiesNameDomain_019e4b2b-ccf2-75bd-801c-091af7c1d644" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedStockMember_019e4b2b-ccf2-70b8-af06-8ed50a1246fa" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RestrictedStockMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_AntidilutiveSecuritiesNameDomain_019e4b2b-ccf2-75bd-801c-091af7c1d644" xlink:to="loc_us-gaap_RestrictedStockMember_019e4b2b-ccf2-70b8-af06-8ed50a1246fa" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount_019e4b2b-ccf2-7ef1-9e45-6d4bdd3f14d9" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareLineItems_019e4b2b-ccf2-7e92-9720-0193f1c50d81" xlink:to="loc_us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount_019e4b2b-ccf2-7ef1-9e45-6d4bdd3f14d9" xlink:type="arc" order="0"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/SegmentsScheduleofSegmentReportingInformationbySegmentDetails" xlink:type="simple" xlink:href="rep-20260630.xsd#SegmentsScheduleofSegmentReportingInformationbySegmentDetails"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/SegmentsScheduleofSegmentReportingInformationbySegmentDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EntityWideRevenueMajorCustomerLineItems_019e4b2b-ccf2-783e-93f0-dfa1c67f782a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EntityWideRevenueMajorCustomerLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfEntityWideRevenueByMajorCustomersByReportingSegmentsTable_019e4b2b-ccf2-7a81-a7ee-b619103750a0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfEntityWideRevenueByMajorCustomersByReportingSegmentsTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_EntityWideRevenueMajorCustomerLineItems_019e4b2b-ccf2-783e-93f0-dfa1c67f782a" xlink:to="loc_us-gaap_ScheduleOfEntityWideRevenueByMajorCustomersByReportingSegmentsTable_019e4b2b-ccf2-7a81-a7ee-b619103750a0" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementBusinessSegmentsAxis_019e4b2b-ccf2-7156-b703-6ae0c27a1619" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StatementBusinessSegmentsAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_ScheduleOfEntityWideRevenueByMajorCustomersByReportingSegmentsTable_019e4b2b-ccf2-7a81-a7ee-b619103750a0" xlink:to="loc_us-gaap_StatementBusinessSegmentsAxis_019e4b2b-ccf2-7156-b703-6ae0c27a1619" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentDomain_019e4b2b-ccf2-7156-b703-6ae0c27a1619_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SegmentDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_StatementBusinessSegmentsAxis_019e4b2b-ccf2-7156-b703-6ae0c27a1619" xlink:to="loc_us-gaap_SegmentDomain_019e4b2b-ccf2-7156-b703-6ae0c27a1619_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentDomain_019e4b2b-ccf2-7597-911b-2fc37f0dc698" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SegmentDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_StatementBusinessSegmentsAxis_019e4b2b-ccf2-7156-b703-6ae0c27a1619" xlink:to="loc_us-gaap_SegmentDomain_019e4b2b-ccf2-7597-911b-2fc37f0dc698" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_ReportableSegmentMember_019e4b2b-ccf2-74ff-8771-4019ab863e0c" xlink:href="rep-20260630.xsd#rep_ReportableSegmentMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_SegmentDomain_019e4b2b-ccf2-7597-911b-2fc37f0dc698" xlink:to="loc_rep_ReportableSegmentMember_019e4b2b-ccf2-74ff-8771-4019ab863e0c" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_019e4b2b-ccf2-7668-9482-1f11ae105474" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_EntityWideRevenueMajorCustomerLineItems_019e4b2b-ccf2-783e-93f0-dfa1c67f782a" xlink:to="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_019e4b2b-ccf2-7668-9482-1f11ae105474" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReconciliationFromSegmentTotalsToConsolidatedAbstract_019e4b2b-ccf2-7f0b-b2ff-e56741f9696a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ReconciliationFromSegmentTotalsToConsolidatedAbstract"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_EntityWideRevenueMajorCustomerLineItems_019e4b2b-ccf2-783e-93f0-dfa1c67f782a" xlink:to="loc_us-gaap_ReconciliationFromSegmentTotalsToConsolidatedAbstract_019e4b2b-ccf2-7f0b-b2ff-e56741f9696a" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseExpense_019e4b2b-ccf2-755b-9cee-f4ba1d4563a8" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OperatingLeaseExpense"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ReconciliationFromSegmentTotalsToConsolidatedAbstract_019e4b2b-ccf2-7f0b-b2ff-e56741f9696a" xlink:to="loc_us-gaap_OperatingLeaseExpense_019e4b2b-ccf2-755b-9cee-f4ba1d4563a8" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProductionTaxExpense_019e4b2b-ccf2-72db-a2b6-ad188734b53c" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProductionTaxExpense"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ReconciliationFromSegmentTotalsToConsolidatedAbstract_019e4b2b-ccf2-7f0b-b2ff-e56741f9696a" xlink:to="loc_us-gaap_ProductionTaxExpense_019e4b2b-ccf2-72db-a2b6-ad188734b53c" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ExplorationExpense_019e4b2b-ccf2-7c35-83a8-d61ab8ebba4d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ExplorationExpense"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ReconciliationFromSegmentTotalsToConsolidatedAbstract_019e4b2b-ccf2-7f0b-b2ff-e56741f9696a" xlink:to="loc_us-gaap_ExplorationExpense_019e4b2b-ccf2-7c35-83a8-d61ab8ebba4d" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DepreciationDepletionAndAmortization_019e4b2b-ccf2-7bcd-abe8-3a7bbd9958ba" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DepreciationDepletionAndAmortization"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ReconciliationFromSegmentTotalsToConsolidatedAbstract_019e4b2b-ccf2-7f0b-b2ff-e56741f9696a" xlink:to="loc_us-gaap_DepreciationDepletionAndAmortization_019e4b2b-ccf2-7bcd-abe8-3a7bbd9958ba" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ImpairmentOfOilAndGasProperties_019f3bd6-d33c-7a79-9a45-dc9f25ff50b0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ImpairmentOfOilAndGasProperties"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ReconciliationFromSegmentTotalsToConsolidatedAbstract_019e4b2b-ccf2-7f0b-b2ff-e56741f9696a" xlink:to="loc_us-gaap_ImpairmentOfOilAndGasProperties_019f3bd6-d33c-7a79-9a45-dc9f25ff50b0" xlink:type="arc" order="5"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherGeneralAndAdministrativeExpense_019e4b2b-ccf2-7121-b50d-78fb60e9690d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherGeneralAndAdministrativeExpense"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ReconciliationFromSegmentTotalsToConsolidatedAbstract_019e4b2b-ccf2-7f0b-b2ff-e56741f9696a" xlink:to="loc_us-gaap_OtherGeneralAndAdministrativeExpense_019e4b2b-ccf2-7121-b50d-78fb60e9690d" xlink:type="arc" order="6"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AllocatedShareBasedCompensationExpense_019e4b2b-ccf2-7b55-aa5e-76906edccdf1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AllocatedShareBasedCompensationExpense"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ReconciliationFromSegmentTotalsToConsolidatedAbstract_019e4b2b-ccf2-7f0b-b2ff-e56741f9696a" xlink:to="loc_us-gaap_AllocatedShareBasedCompensationExpense_019e4b2b-ccf2-7b55-aa5e-76906edccdf1" xlink:type="arc" order="7"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationAcquisitionRelatedCosts_019f3bdc-ed28-777a-97e8-b0229451f0f0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BusinessCombinationAcquisitionRelatedCosts"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ReconciliationFromSegmentTotalsToConsolidatedAbstract_019e4b2b-ccf2-7f0b-b2ff-e56741f9696a" xlink:to="loc_us-gaap_BusinessCombinationAcquisitionRelatedCosts_019f3bdc-ed28-777a-97e8-b0229451f0f0" xlink:type="arc" order="8"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_InterestExpenseNetNonoperating_019e4b2b-ccf2-726b-b02d-37140f9bb5fb" xlink:href="rep-20260630.xsd#rep_InterestExpenseNetNonoperating"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ReconciliationFromSegmentTotalsToConsolidatedAbstract_019e4b2b-ccf2-7f0b-b2ff-e56741f9696a" xlink:to="loc_rep_InterestExpenseNetNonoperating_019e4b2b-ccf2-726b-b02d-37140f9bb5fb" xlink:type="arc" order="9"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeOperating_019e4b2b-ccf2-70e5-b26e-604af186d81a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestIncomeOperating"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ReconciliationFromSegmentTotalsToConsolidatedAbstract_019e4b2b-ccf2-7f0b-b2ff-e56741f9696a" xlink:to="loc_us-gaap_InterestIncomeOperating_019e4b2b-ccf2-70e5-b26e-604af186d81a" xlink:type="arc" order="10"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GainLossOnDerivativeInstrumentsNetPretax_019e4b2b-ccf2-7a28-b7f8-e3ce11d2029a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_GainLossOnDerivativeInstrumentsNetPretax"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ReconciliationFromSegmentTotalsToConsolidatedAbstract_019e4b2b-ccf2-7f0b-b2ff-e56741f9696a" xlink:to="loc_us-gaap_GainLossOnDerivativeInstrumentsNetPretax_019e4b2b-ccf2-7a28-b7f8-e3ce11d2029a" xlink:type="arc" order="11"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromEquityMethodInvestments_019e4b2b-ccf2-7039-ae7c-b42857aa953d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeLossFromEquityMethodInvestments"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ReconciliationFromSegmentTotalsToConsolidatedAbstract_019e4b2b-ccf2-7f0b-b2ff-e56741f9696a" xlink:to="loc_us-gaap_IncomeLossFromEquityMethodInvestments_019e4b2b-ccf2-7039-ae7c-b42857aa953d" xlink:type="arc" order="12"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_GainLossOnAcquisitionsAndDivestitures_019e4b2b-ccf2-7d8e-93ba-5786530b820b" xlink:href="rep-20260630.xsd#rep_GainLossOnAcquisitionsAndDivestitures"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ReconciliationFromSegmentTotalsToConsolidatedAbstract_019e4b2b-ccf2-7f0b-b2ff-e56741f9696a" xlink:to="loc_rep_GainLossOnAcquisitionsAndDivestitures_019e4b2b-ccf2-7d8e-93ba-5786530b820b" xlink:type="arc" order="13"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxExpenseBenefit_019e4b2b-ccf2-7acb-9cfa-ccb3d1972165" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ReconciliationFromSegmentTotalsToConsolidatedAbstract_019e4b2b-ccf2-7f0b-b2ff-e56741f9696a" xlink:to="loc_us-gaap_IncomeTaxExpenseBenefit_019e4b2b-ccf2-7acb-9cfa-ccb3d1972165" xlink:type="arc" order="14"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_019e4b2b-ccf2-7b84-9394-5f04521c87e4" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetIncomeLoss"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_EntityWideRevenueMajorCustomerLineItems_019e4b2b-ccf2-783e-93f0-dfa1c67f782a" xlink:to="loc_us-gaap_NetIncomeLoss_019e4b2b-ccf2-7b84-9394-5f04521c87e4" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Assets_019e4b2b-ccf2-7bd2-b2f5-2edad52a85c8" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Assets"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_EntityWideRevenueMajorCustomerLineItems_019e4b2b-ccf2-783e-93f0-dfa1c67f782a" xlink:to="loc_us-gaap_Assets_019e4b2b-ccf2-7bd2-b2f5-2edad52a85c8" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentExpenditureAdditionToLongLivedAssets_019e4b2b-ccf2-7cfb-aa1e-f8f5a5ecae3f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SegmentExpenditureAdditionToLongLivedAssets"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_EntityWideRevenueMajorCustomerLineItems_019e4b2b-ccf2-783e-93f0-dfa1c67f782a" xlink:to="loc_us-gaap_SegmentExpenditureAdditionToLongLivedAssets_019e4b2b-ccf2-7cfb-aa1e-f8f5a5ecae3f" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityMethodInvestments_019e4b2b-ccf2-7c5e-a8c0-87f404a883f1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EquityMethodInvestments"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_EntityWideRevenueMajorCustomerLineItems_019e4b2b-ccf2-783e-93f0-dfa1c67f782a" xlink:to="loc_us-gaap_EquityMethodInvestments_019e4b2b-ccf2-7c5e-a8c0-87f404a883f1" xlink:type="arc" order="5"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/CommitmentandContingenciesDetails" xlink:type="simple" xlink:href="rep-20260630.xsd#CommitmentandContingenciesDetails"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/CommitmentandContingenciesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherCommitmentsLineItems_019f41d8-a0e8-73fa-9873-8306c8a745f1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherCommitmentsLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherCommitmentsTable_019f41d8-a0e8-78b5-9226-0499a55bbc20" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherCommitmentsTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_OtherCommitmentsLineItems_019f41d8-a0e8-73fa-9873-8306c8a745f1" xlink:to="loc_us-gaap_OtherCommitmentsTable_019f41d8-a0e8-78b5-9226-0499a55bbc20" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CapitalizedCostsOfUnprovedPropertiesExcludedFromAmortizationByPropertyOrProjectAxis_019f41d8-e8bf-7da9-baa6-d18ddda78415" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CapitalizedCostsOfUnprovedPropertiesExcludedFromAmortizationByPropertyOrProjectAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_OtherCommitmentsTable_019f41d8-a0e8-78b5-9226-0499a55bbc20" xlink:to="loc_us-gaap_CapitalizedCostsOfUnprovedPropertiesExcludedFromAmortizationByPropertyOrProjectAxis_019f41d8-e8bf-7da9-baa6-d18ddda78415" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProjectMember_019f41d8-e8bf-7da9-baa6-d18ddda78415_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProjectMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_CapitalizedCostsOfUnprovedPropertiesExcludedFromAmortizationByPropertyOrProjectAxis_019f41d8-e8bf-7da9-baa6-d18ddda78415" xlink:to="loc_us-gaap_ProjectMember_019f41d8-e8bf-7da9-baa6-d18ddda78415_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProjectMember_019f41d8-e8bf-7c74-a3e3-2b0f49353b5a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProjectMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_CapitalizedCostsOfUnprovedPropertiesExcludedFromAmortizationByPropertyOrProjectAxis_019f41d8-e8bf-7da9-baa6-d18ddda78415" xlink:to="loc_us-gaap_ProjectMember_019f41d8-e8bf-7c74-a3e3-2b0f49353b5a" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_MidstreamGasPurchaseAgreementMember_019f41d8-e8bf-76c8-b1ef-361b55ff870c" xlink:href="rep-20260630.xsd#rep_MidstreamGasPurchaseAgreementMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ProjectMember_019f41d8-e8bf-7c74-a3e3-2b0f49353b5a" xlink:to="loc_rep_MidstreamGasPurchaseAgreementMember_019f41d8-e8bf-76c8-b1ef-361b55ff870c" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_WaterbridgeMember_019f41d8-e8bf-7af4-bf2c-7d7a9c3bd419" xlink:href="rep-20260630.xsd#rep_WaterbridgeMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ProjectMember_019f41d8-e8bf-7c74-a3e3-2b0f49353b5a" xlink:to="loc_rep_WaterbridgeMember_019f41d8-e8bf-7af4-bf2c-7d7a9c3bd419" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccrualForEnvironmentalLossContingencies_019f41d8-a0e8-737b-a5c0-ca071217e371" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccrualForEnvironmentalLossContingencies"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_OtherCommitmentsLineItems_019f41d8-a0e8-73fa-9873-8306c8a745f1" xlink:to="loc_us-gaap_AccrualForEnvironmentalLossContingencies_019f41d8-a0e8-737b-a5c0-ca071217e371" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_LongTermPurchaseCommitmentQuarterlyVolumePeriod_019f6edc-985c-7c43-abbc-34375179f192" xlink:href="rep-20260630.xsd#rep_LongTermPurchaseCommitmentQuarterlyVolumePeriod"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_OtherCommitmentsLineItems_019f41d8-a0e8-73fa-9873-8306c8a745f1" xlink:to="loc_rep_LongTermPurchaseCommitmentQuarterlyVolumePeriod_019f6edc-985c-7c43-abbc-34375179f192" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermPurchaseCommitmentPeriod_019f41d8-e8bf-7e2f-a620-bbe98b891441" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongtermPurchaseCommitmentPeriod"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_OtherCommitmentsLineItems_019f41d8-a0e8-73fa-9873-8306c8a745f1" xlink:to="loc_us-gaap_LongtermPurchaseCommitmentPeriod_019f41d8-e8bf-7e2f-a620-bbe98b891441" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_rep_LongTermPurchaseCommitmentAnnualAndCumulativeVolumePeriod_019f41d8-e8bf-7ce1-8523-9c6a9946a56c" xlink:href="rep-20260630.xsd#rep_LongTermPurchaseCommitmentAnnualAndCumulativeVolumePeriod"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_OtherCommitmentsLineItems_019f41d8-a0e8-73fa-9873-8306c8a745f1" xlink:to="loc_rep_LongTermPurchaseCommitmentAnnualAndCumulativeVolumePeriod_019f41d8-e8bf-7ce1-8523-9c6a9946a56c" xlink:type="arc" order="3"/>
  </link:definitionLink>
  <link:roleRef roleURI="http://rileypermian.com/role/SubsequentEventsDetails" xlink:type="simple" xlink:href="rep-20260630.xsd#SubsequentEventsDetails"/>
  <link:definitionLink xlink:role="http://rileypermian.com/role/SubsequentEventsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventLineItems_019e4b2b-ccf2-7d6b-ae18-913711b60e2b" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubsequentEventLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTable_019e4b2b-ccf2-7e91-b2c8-f16eb7fafb2b" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubsequentEventTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_us-gaap_SubsequentEventLineItems_019e4b2b-ccf2-7d6b-ae18-913711b60e2b" xlink:to="loc_us-gaap_SubsequentEventTable_019e4b2b-ccf2-7e91-b2c8-f16eb7fafb2b" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeAxis_019e4b2b-ccf2-7f0c-9144-a35ac4317174" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubsequentEventTypeAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_us-gaap_SubsequentEventTable_019e4b2b-ccf2-7e91-b2c8-f16eb7fafb2b" xlink:to="loc_us-gaap_SubsequentEventTypeAxis_019e4b2b-ccf2-7f0c-9144-a35ac4317174" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeDomain_019e4b2b-ccf2-7f0c-9144-a35ac4317174_default" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubsequentEventTypeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_SubsequentEventTypeAxis_019e4b2b-ccf2-7f0c-9144-a35ac4317174" xlink:to="loc_us-gaap_SubsequentEventTypeDomain_019e4b2b-ccf2-7f0c-9144-a35ac4317174_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeDomain_019e4b2b-ccf2-7861-888e-16e71ad9de63" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubsequentEventTypeDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_SubsequentEventTypeAxis_019e4b2b-ccf2-7f0c-9144-a35ac4317174" xlink:to="loc_us-gaap_SubsequentEventTypeDomain_019e4b2b-ccf2-7861-888e-16e71ad9de63" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventMember_019e4b2b-ccf2-7eaf-b011-fc42fd1e360b" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SubsequentEventMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_SubsequentEventTypeDomain_019e4b2b-ccf2-7861-888e-16e71ad9de63" xlink:to="loc_us-gaap_SubsequentEventMember_019e4b2b-ccf2-7eaf-b011-fc42fd1e360b" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockDividendsPerShareDeclared_019e4b2b-ccf2-747f-80b8-3f1313634e3d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonStockDividendsPerShareDeclared"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_SubsequentEventLineItems_019e4b2b-ccf2-7d6b-ae18-913711b60e2b" xlink:to="loc_us-gaap_CommonStockDividendsPerShareDeclared_019e4b2b-ccf2-747f-80b8-3f1313634e3d" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DividendsPayableAmountPerShare_019e4b2b-ccf2-7001-8f7a-9733505a96f1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DividendsPayableAmountPerShare"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_SubsequentEventLineItems_019e4b2b-ccf2-7d6b-ae18-913711b60e2b" xlink:to="loc_us-gaap_DividendsPayableAmountPerShare_019e4b2b-ccf2-7001-8f7a-9733505a96f1" xlink:type="arc" order="1"/>
  </link:definitionLink>
</link:linkbase>
