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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:01a0a104-ab63-7184-b571-149a182799d8,g:02d38df6-a639-4553-b94d-fbf0132aa858-->
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  <xs:import namespace="http://www.xbrl.org/2003/linkbase" schemaLocation="http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd"/>
  <xs:import namespace="http://www.xbrl.org/dtr/type/2024-01-31" schemaLocation="https://www.xbrl.org/dtr/type/2024-01-31/types.xsd"/>
  <xs:import namespace="http://xbrl.sec.gov/country/2026" schemaLocation="https://xbrl.sec.gov/country/2026/country-2026.xsd"/>
  <xs:import namespace="http://xbrl.sec.gov/dei/2026" schemaLocation="https://xbrl.sec.gov/dei/2026/dei-2026.xsd"/>
  <xs:import namespace="http://xbrl.sec.gov/rxp/2026" schemaLocation="https://xbrl.sec.gov/rxp/2026/rxp-2026.xsd"/>
  <xs:import namespace="http://xbrl.sec.gov/snj/2026" schemaLocation="https://xbrl.sec.gov/snj/2026/snj-2026.xsd"/>
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        <link:roleRef roleURI="http://xbrl.sec.gov/rxp/role/ByGovernment" xlink:type="simple" xlink:href="https://xbrl.sec.gov/rxp/2026/rxp-2026.xsd#ByGovernment"/>
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        <link:definitionLink xlink:role="http://xbrl.sec.gov/rxp/role/GovernmentsOnly" xlink:type="extended">
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        <link:roleRef roleURI="http://xbrl.sec.gov/rxp/role/ResourcesOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/rxp/2026/rxp-2026.xsd#ResourcesOnly"/>
        <link:definitionLink xlink:role="http://xbrl.sec.gov/rxp/role/ResourcesOnly" xlink:type="extended">
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          <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_rxp_AllResourcesMember" xlink:to="loc_pr_OilNaturalGasMember_01a0a104-ab63-7335-9f33-a4189a1a979f" xlink:type="arc" order="1"/>
        </link:definitionLink>
        <link:roleRef roleURI="http://www.xbrl.org/2009/role/negatedPeriodStartLabel" xlink:type="simple" xlink:href="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd#negatedPeriodStartLabel"/>
        <link:roleRef roleURI="http://www.xbrl.org/2009/role/netLabel" xlink:type="simple" xlink:href="http://www.xbrl.org/lrr/role/net-2009-12-16.xsd#netLabel"/>
        <link:roleRef roleURI="http://www.xbrl.org/2009/role/negatedNetLabel" xlink:type="simple" xlink:href="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd#negatedNetLabel"/>
        <link:roleRef roleURI="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="simple" xlink:href="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd#negatedTerseLabel"/>
        <link:roleRef roleURI="http://www.xbrl.org/2009/role/negatedPeriodEndLabel" xlink:type="simple" xlink:href="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd#negatedPeriodEndLabel"/>
        <link:roleRef roleURI="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="simple" xlink:href="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd#negatedLabel"/>
        <link:roleRef roleURI="http://www.xbrl.org/2009/role/negatedTotalLabel" xlink:type="simple" xlink:href="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd#negatedTotalLabel"/>
        <link:labelLink xlink:role="http://www.xbrl.org/2003/role/link" xlink:type="extended">
          <link:label id="lab_pr_NMPermianBasinMember_label_en-US" xlink:label="lab_pr_NMPermianBasinMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">NM - Permian Basin [Member]</link:label>
          <link:loc xlink:type="locator" xlink:label="loc_pr_NMPermianBasinMember" xlink:href="pr-20251231.xsd#pr_NMPermianBasinMember"/>
          <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_pr_NMPermianBasinMember" xlink:to="lab_pr_NMPermianBasinMember" xlink:type="arc" order="1"/>
          <link:label id="lab_pr_U.S.FederalGovernmentMember_label_en-US" xlink:label="lab_pr_U.S.FederalGovernmentMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">U.S. Federal Government [Member]</link:label>
          <link:loc xlink:type="locator" xlink:label="loc_pr_U.S.FederalGovernmentMember" xlink:href="pr-20251231.xsd#pr_U.S.FederalGovernmentMember"/>
          <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_pr_U.S.FederalGovernmentMember" xlink:to="lab_pr_U.S.FederalGovernmentMember" xlink:type="arc" order="1"/>
          <link:label id="lab_pr_EntityLevelPaymentUSMember_label_en-US" xlink:label="lab_pr_EntityLevelPaymentUSMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Entity Level Payment US [Member]</link:label>
          <link:loc xlink:type="locator" xlink:label="loc_pr_EntityLevelPaymentUSMember" xlink:href="pr-20251231.xsd#pr_EntityLevelPaymentUSMember"/>
          <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_pr_EntityLevelPaymentUSMember" xlink:to="lab_pr_EntityLevelPaymentUSMember" xlink:type="arc" order="1"/>
          <link:label id="lab_country_US_label_en-US" xlink:label="lab_country_US" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">UNITED STATES</link:label>
          <link:loc xlink:type="locator" xlink:label="loc_country_US" xlink:href="https://xbrl.sec.gov/country/2026/country-2026.xsd#country_US"/>
          <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_country_US" xlink:to="lab_country_US" xlink:type="arc" order="1"/>
          <link:label id="lab_pr_OilNaturalGasMember_label_en-US" xlink:label="lab_pr_OilNaturalGasMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Oil, Natural Gas [Member]</link:label>
          <link:loc xlink:type="locator" xlink:label="loc_pr_OilNaturalGasMember" xlink:href="pr-20251231.xsd#pr_OilNaturalGasMember"/>
          <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_pr_OilNaturalGasMember" xlink:to="lab_pr_OilNaturalGasMember" xlink:type="arc" order="1"/>
        </link:labelLink>
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  <xs:element id="pr_EntityLevelPaymentUSMember" abstract="true" name="EntityLevelPaymentUSMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="pr_NMPermianBasinMember" abstract="true" name="NMPermianBasinMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="pr_U.S.FederalGovernmentMember" abstract="true" name="U.S.FederalGovernmentMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="pr_OilNaturalGasMember" abstract="true" name="OilNaturalGasMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
</xs:schema>
