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<!-- DFIN New ActiveDisclosure (SM) XBRL Schema Document - http://www.dfinsolutions.com/ -->
<!-- Creation Date :2023-02-16T13:10:16.3358+00:00 -->
<!-- Copyright (c) 2023 Donnelly Financial Solutions, Inc. All Rights Reserved. -->
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  <xsd:element id="cptp_NumberOfLongTermLandLeases" name="NumberOfLongTermLandLeases" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="cptp_NumberOfLongTermLandLeasesWithContingentRentReceivable" name="NumberOfLongTermLandLeasesWithContingentRentReceivable" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="cptp_NumberOfParcelsUponWhichImprovementsHaveBeenComplete" name="NumberOfParcelsUponWhichImprovementsHaveBeenComplete" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="cptp_NumberOfUnitsSubjectToOrAvailableForOperatingLease" name="NumberOfUnitsSubjectToOrAvailableForOperatingLease" type="xbrli:decimalItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="cptp_NumberOfWhollyOwnedSubsidiaries" name="NumberOfWhollyOwnedSubsidiaries" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cptp_OperatingLeasePercentageRent" name="OperatingLeasePercentageRent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cptp_OperatingLeasesIncomeStatementContingentRentalRevenue" name="OperatingLeasesIncomeStatementContingentRentalRevenue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cptp_OperatingLeasesIncomeStatementDecreaseInContingentRentalRevenue" name="OperatingLeasesIncomeStatementDecreaseInContingentRentalRevenue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cptp_PercentageOfAnnualIncrementInBaseRentOfLease" name="PercentageOfAnnualIncrementInBaseRentOfLease" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cptp_PercentageOfObligationOnCostInExcessOfActualCost" name="PercentageOfObligationOnCostInExcessOfActualCost" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cptp_PercentageOfParcelsAvailableForLease" name="PercentageOfParcelsAvailableForLease" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cptp_PercentageOfRevenueInExcessOfThresholdParkingRevenue" name="PercentageOfRevenueInExcessOfThresholdParkingRevenue" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cptp_PercentageOfRevenueReceivableDueInProportionOfGrossRevenueOfElectronicBillboard" name="PercentageOfRevenueReceivableDueInProportionOfGrossRevenueOfElectronicBillboard" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cptp_PercentageOfRevenueReceivableDueInProportionOfGrossRevenueOfStandardBillboard" name="PercentageOfRevenueReceivableDueInProportionOfGrossRevenueOfStandardBillboard" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cptp_PeriodForAdvanceReceiptOfPercentageOfGrossRevenueOnLeases" name="PeriodForAdvanceReceiptOfPercentageOfGrossRevenueOnLeases" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cptp_PeriodOfLease" name="PeriodOfLease" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cptp_PeriodToRecognizeSpecifiedLeaseRevenue" name="PeriodToRecognizeSpecifiedLeaseRevenue" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cptp_RealEstateTaxesPaidByTenant" name="RealEstateTaxesPaidByTenant" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cptp_RealPropertyTaxes" name="RealPropertyTaxes" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cptp_SharingArrangementPercentage" name="SharingArrangementPercentage" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cptp_ThresholdParkingRevenuePerMonthForScheduledRentalPaymentsByLessee" name="ThresholdParkingRevenuePerMonthForScheduledRentalPaymentsByLessee" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cptp_ScheduleOfAccountingPoliciesLineItems" name="ScheduleOfAccountingPoliciesLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cptp_BAnkRIMember" name="BAnkRIMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cptp_CityOfProvidenceMember" name="CityOfProvidenceMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cptp_EnvironmentalIncidentNineteenNinetyFourMember" name="EnvironmentalIncidentNineteenNinetyFourMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cptp_HGITCenterPlaceMember" name="HGITCenterPlaceMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cptp_LamarLeaseMember" name="LamarLeaseMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cptp_LamarOutdoorAdvertisingLlcMember" name="LamarOutdoorAdvertisingLlcMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cptp_LandImprovementsOnLeaseOrHeldForLeaseMember" name="LandImprovementsOnLeaseOrHeldForLeaseMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cptp_MetroparkLtdMember" name="MetroparkLtdMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cptp_OneSevenZeroOneRCSarasotaInvestLLCMember" name="OneSevenZeroOneRCSarasotaInvestLLCMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cptp_ParcelSixCMember" name="ParcelSixCMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cptp_ParcelsMember" name="ParcelsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cptp_ParcelTwoMember" name="ParcelTwoMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cptp_PropertiesOnLeaseOrHeldForLeaseLandAndLandImprovementsMember" name="PropertiesOnLeaseOrHeldForLeaseLandAndLandImprovementsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cptp_PropertiesOnLeaseOrHeldForLeaseOfficeEquipmentMember" name="PropertiesOnLeaseOrHeldForLeaseOfficeEquipmentMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cptp_PropertiesOnLeaseOrHeldForLeaseSteepleStreetPropertyMember" name="PropertiesOnLeaseOrHeldForLeaseSteepleStreetPropertyMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cptp_SaleOfPetroleumSegmentMember" name="SaleOfPetroleumSegmentMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cptp_SaleOfPetroleumStorageFacilityAndRelatedAssetsMember" name="SaleOfPetroleumStorageFacilityAndRelatedAssetsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cptp_TerminalMember" name="TerminalMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cptp_TerminationOfParcelTwentyLeaseMember" name="TerminationOfParcelTwentyLeaseMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cptp_TripleNetLeaseMember" name="TripleNetLeaseMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cptp_WaterplaceCondominiumsMember" name="WaterplaceCondominiumsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cptp_ScheduleOfAccountingPoliciesTable" name="ScheduleOfAccountingPoliciesTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cptp_DiscontinuedOperationsAndEnvironmentalIncidentTextBlock" name="DiscontinuedOperationsAndEnvironmentalIncidentTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cptp_RevenueRecognitionOperatingLeasesPolicy" name="RevenueRecognitionOperatingLeasesPolicy" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cptp_ScheduleOfLongTermLeaseMinimumFutureContractualRentalPaymentsToBeReceivedTableTextBlock" name="ScheduleOfLongTermLeaseMinimumFutureContractualRentalPaymentsToBeReceivedTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
</xsd:schema>
