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  <xsd:element id="cccs_DeferredFinanceCostsWrittenOffOfDueToEarlyExtinguishmentOfDebt" name="DeferredFinanceCostsWrittenOffOfDueToEarlyExtinguishmentOfDebt" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_DeferredFinancingFeesRevolverNetNonCurrent" name="DeferredFinancingFeesRevolverNetNonCurrent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cccs_DeferredIncomeTaxExpenseBenefitChangeInValuationAllowance" name="DeferredIncomeTaxExpenseBenefitChangeInValuationAllowance" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_DeferredRevenueRevenueRecognized" name="DeferredRevenueRevenueRecognized" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_DeferredTaxAssetSalesAllowanceAndDoubtfulAccounts" name="DeferredTaxAssetSalesAllowanceAndDoubtfulAccounts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cccs_DeferredTaxAssetsCapitalizedRAndENetOfAmortization" name="DeferredTaxAssetsCapitalizedRAndENetOfAmortization" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cccs_DeferredTaxAssetsInterestExpenseLimitation" name="DeferredTaxAssetsInterestExpenseLimitation" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cccs_DeferredTaxLiabilitiesDeferredExpenseDeferredContractCosts" name="DeferredTaxLiabilitiesDeferredExpenseDeferredContractCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_DeferredTaxLiabilitiesIntangibleAssetAmortization" name="DeferredTaxLiabilitiesIntangibleAssetAmortization" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_DefferedIncomeTaxLiabilityInterestRateCap" name="DefferedIncomeTaxLiabilityInterestRateCap" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_DiscountRateBasedOnCostOfDebt" name="DiscountRateBasedOnCostOfDebt" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_EffectiveIncomeTaxRateReconciliationExecutiveCompensationAmount" name="EffectiveIncomeTaxRateReconciliationExecutiveCompensationAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cccs_EffectiveIncomeTaxRateReconciliationExecutiveCompensationPercent" name="EffectiveIncomeTaxRateReconciliationExecutiveCompensationPercent" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_EffectiveIncomeTaxRateReconciliationFairValueOfWarrantsAmount" name="EffectiveIncomeTaxRateReconciliationFairValueOfWarrantsAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cccs_EffectiveIncomeTaxRateReconciliationFairValueOfWarrantsPercent" name="EffectiveIncomeTaxRateReconciliationFairValueOfWarrantsPercent" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_EffectiveIncomeTaxRateReconciliationImpactOfForeignOperationsAmount" name="EffectiveIncomeTaxRateReconciliationImpactOfForeignOperationsAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cccs_EffectiveIncomeTaxRateReconciliationImpactOfForeignOperationsPercent" name="EffectiveIncomeTaxRateReconciliationImpactOfForeignOperationsPercent" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_EffectiveIncomeTaxRateReconciliationUncertainTaxPositions" name="EffectiveIncomeTaxRateReconciliationUncertainTaxPositions" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_ExchangeRatioEstablishedInTheBusinessCombination" name="ExchangeRatioEstablishedInTheBusinessCombination" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_FairValueOfAssumedPublicWarrantsExercised" name="FairValueOfAssumedPublicWarrantsExercised" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_FairValueOfTheSharesReservedChargedToAdditionalPaidInCapital" name="FairValueOfTheSharesReservedChargedToAdditionalPaidInCapital" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_GainLossOnCostMethodInvestment" name="GainLossOnCostMethodInvestment" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_IncomeTaxReconciliationUncertainTaxPositions" name="IncomeTaxReconciliationUncertainTaxPositions" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cccs_IncreaseDecreaseInDeferredCostsCurrent" name="IncreaseDecreaseInDeferredCostsCurrent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_IncreaseDecreaseInDeferredCostsNonCurrent" name="IncreaseDecreaseInDeferredCostsNonCurrent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_IncreaseDecreaseInExtinguishmentOfInterestRateSwapLiability" name="IncreaseDecreaseInExtinguishmentOfInterestRateSwapLiability" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_IncreaseDecreaseInOperatingLeaseAssets" name="IncreaseDecreaseInOperatingLeaseAssets" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_IncreaseDecreaseInOperatingLeaseLiabilities" name="IncreaseDecreaseInOperatingLeaseLiabilities" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cccs_IntangibleAssetsAccumulatedAmortization" name="IntangibleAssetsAccumulatedAmortization" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_LeaseCommencateMothYear" name="LeaseCommencateMothYear" type="xbrli:gYearMonthItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_LeaseholdImprovementsAcquiredByTenantImprovementAllowance" name="LeaseholdImprovementsAcquiredByTenantImprovementAllowance" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_LeaseTerminationFee" name="LeaseTerminationFee" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cccs_LeverageRatio" name="LeverageRatio" type="xbrli:pureItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="cccs_LongTermDebtFloorRatePercentage" name="LongTermDebtFloorRatePercentage" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="cccs_LongTermLicensingAgreementNetCurrent" name="LongTermLicensingAgreementNetCurrent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_LongTermLicensingAgreementNetNonCurrent" name="LongTermLicensingAgreementNetNonCurrent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_LongTermPurchaseCommitementMonthOfExpiry" name="LongTermPurchaseCommitementMonthOfExpiry" type="xbrli:gYearItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_NetProceedsFromTheBusinessCombination" name="NetProceedsFromTheBusinessCombination" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cccs_NonCashFairValueOfWarrants" name="NonCashFairValueOfWarrants" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_NoncashLeaseExpense" name="NoncashLeaseExpense" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cccs_NumberOfConsecutiveTradingDaysUsedToDetermineTheSharePrice" name="NumberOfConsecutiveTradingDaysUsedToDetermineTheSharePrice" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_NumberOfForwardPurchaseUnitsIssuedDuringPeriodSharesNewIssues" name="NumberOfForwardPurchaseUnitsIssuedDuringPeriodSharesNewIssues" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_NumberOfSharesBecomeNontransferableAndSubjectToForfeiture" name="NumberOfSharesBecomeNontransferableAndSubjectToForfeiture" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_NumberOfTradingDaysUsedToDetermineTheSharePrice" name="NumberOfTradingDaysUsedToDetermineTheSharePrice" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_OperatingLossCarryforwardsExpirationPeriod" name="OperatingLossCarryforwardsExpirationPeriod" type="xbrli:gYearItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_PaymentOfDebtDiscount" name="PaymentOfDebtDiscount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_PaymentsForExtinguishTheInterestRateSwaps" name="PaymentsForExtinguishTheInterestRateSwaps" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_PaymentsOfDeemedDistributionToCccisOptionHolders" name="PaymentsOfDeemedDistributionToCccisOptionHolders" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_PercentageOfAggregateCommitmentsOnBorrowings" name="PercentageOfAggregateCommitmentsOnBorrowings" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="cccs_PercentageOfAnnualExcessCashFlowOnLineOfCredit" name="PercentageOfAnnualExcessCashFlowOnLineOfCredit" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_PercentageOfCompoundInterestPerAnnumOnThePreferredShareIssuePrice" name="PercentageOfCompoundInterestPerAnnumOnThePreferredShareIssuePrice" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_PercentageOfRateOfPayrollDeductionOfCompensationOfEligibleEmployees" name="PercentageOfRateOfPayrollDeductionOfCompensationOfEligibleEmployees" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_PercentageOfSharesReservedForIssuanceUnderEmployeeIncentivePlan" name="PercentageOfSharesReservedForIssuanceUnderEmployeeIncentivePlan" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_PercentageOfValuationAllowanceEqualToIncomeTaxBenefit" name="PercentageOfValuationAllowanceEqualToIncomeTaxBenefit" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="cccs_PercentageOfWeightedAverageCostOfCapital" name="PercentageOfWeightedAverageCostOfCapital" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="cccs_PrepaidSaasCosts" name="PrepaidSaasCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cccs_PrepaidServiceFee" name="PrepaidServiceFee" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cccs_PrepaidSoftwareAndEquipmentMaintenance" name="PrepaidSoftwareAndEquipmentMaintenance" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cccs_ProceedsFromEquityInfusionFromTheBusinessCombination" name="ProceedsFromEquityInfusionFromTheBusinessCombination" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cccs_ProceedsFromThirdPartyBuyerUnderAssetPurchaseAgreement" name="ProceedsFromThirdPartyBuyerUnderAssetPurchaseAgreement" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_RevenueRecognitionAllocatedDirectlyToEquityCumulativeEffectOfChangeInAccountingPrinciple" name="RevenueRecognitionAllocatedDirectlyToEquityCumulativeEffectOfChangeInAccountingPrinciple" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_RevenueRemainingPerformanceObligationRevenueToBeRecognizedThereafter" name="RevenueRemainingPerformanceObligationRevenueToBeRecognizedThereafter" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_RevenueRemainingPerformanceObligationRevenueToBeRecognizedYearOne" name="RevenueRemainingPerformanceObligationRevenueToBeRecognizedYearOne" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfAdditionalSharesOfCommonStockProvidedRightToPurchase" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfAdditionalSharesOfCommonStockProvidedRightToPurchase" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_ShareBasedCompensationArrangementpaymentForVestingOfShares" name="ShareBasedCompensationArrangementpaymentForVestingOfShares" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_ShareBasedCompensationByShareBasedArrangementNonVestedOptionsOutstandingAggregateIntrinsicValue" name="ShareBasedCompensationByShareBasedArrangementNonVestedOptionsOutstandingAggregateIntrinsicValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cccs_ShareBasedCompensationByShareBasedArrangementNonVestedOptionsOutstandingWeightedAverageRemainingContractualTerm" name="ShareBasedCompensationByShareBasedArrangementNonVestedOptionsOutstandingWeightedAverageRemainingContractualTerm" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_ShareBasedCompensationByShareBasedAwardOptionsExcercisedIssuedSharesIssuedNetOfTaxWitholdingObligation" name="ShareBasedCompensationByShareBasedAwardOptionsExcercisedIssuedSharesIssuedNetOfTaxWitholdingObligation" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_ShareBasedCompensationByShareBasedPaymentAwardNonVestedOptionsOutstandingWeightedAverageExercisePrice" name="ShareBasedCompensationByShareBasedPaymentAwardNonVestedOptionsOutstandingWeightedAverageExercisePrice" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="cccs_SharesAuthorizedTotal" name="SharesAuthorizedTotal" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_SoftwareLicenseAgreementCurrent" name="SoftwareLicenseAgreementCurrent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_SoftwareLicenseAgreementNoncurrent" name="SoftwareLicenseAgreementNoncurrent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_StockIssuedDuringPeriodSharesRetrospectiveApplicationOfTheRecapitalizationDueToBusinessCombination" name="StockIssuedDuringPeriodSharesRetrospectiveApplicationOfTheRecapitalizationDueToBusinessCombination" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_StockIssuedDuringPeriodSharesStockOptionsExercisedNetOfTaxBenefitExpense" name="StockIssuedDuringPeriodSharesStockOptionsExercisedNetOfTaxBenefitExpense" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_StockIssuedDuringPeriodValueRetrospectiveApplicationOfTheRecapitalizationDueToBusinessCombination" name="StockIssuedDuringPeriodValueRetrospectiveApplicationOfTheRecapitalizationDueToBusinessCombination" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_TaxEffectOfBusinessCombinationTransactionCosts" name="TaxEffectOfBusinessCombinationTransactionCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cccs_ThresholdPercentageOfLessorOfTheFairMarketValueOfCommonStockToPurchasePriceOfSharesOfCommonStockPurchasedUnderPlan" name="ThresholdPercentageOfLessorOfTheFairMarketValueOfCommonStockToPurchasePriceOfSharesOfCommonStockPurchasedUnderPlan" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_UnamortizedFinancingCosts" name="UnamortizedFinancingCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cccs_WarrantLiablity" name="WarrantLiablity" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cccs_AgreementDomain" name="AgreementDomain" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_AmendmentDomain" name="AmendmentDomain" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_ClassesOfNonCurrentAssetDomain" name="ClassesOfNonCurrentAssetDomain" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_EventDomain" name="EventDomain" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_InvestorDomain" name="InvestorDomain" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_LongTermPurchaseCommitementDomain" name="LongTermPurchaseCommitementDomain" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_ModificationOfVestingTermsDomain" name="ModificationOfVestingTermsDomain" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_ReverseRecapitalizationDomain" name="ReverseRecapitalizationDomain" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_SharePriceTrigerringWarrantRedemptionDomain" name="SharePriceTrigerringWarrantRedemptionDomain" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_SharePriceTriggeringEventDomain" name="SharePriceTriggeringEventDomain" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_SharesReservedForFutureIssuanceDomain" name="SharesReservedForFutureIssuanceDomain" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_TypeOfAgreementDomain" name="TypeOfAgreementDomain" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_TypeOfFinancingDomain" name="TypeOfFinancingDomain" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_VestingCriteriaDomain" name="VestingCriteriaDomain" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_AccountingPoliciesLineItems" name="AccountingPoliciesLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_ComponentsOfDeferredTaxAssetsAndLiabilitiesLineItems" name="ComponentsOfDeferredTaxAssetsAndLiabilitiesLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_ContractWithCustomerAssetAndLiabilityLineItems" name="ContractWithCustomerAssetAndLiabilityLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_DebtInstrumentUnamortizedDiscountPremiumAndDebtIssuanceCostsNetLineItems" name="DebtInstrumentUnamortizedDiscountPremiumAndDebtIssuanceCostsNetLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_FiniteLivedIntangibleAssetsFutureAmortizationExpenseLineItems" name="FiniteLivedIntangibleAssetsFutureAmortizationExpenseLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_GoodwillAndIntangibleAssetsDisclosureLineItems" name="GoodwillAndIntangibleAssetsDisclosureLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_IncomeTaxDisclosureLineItems" name="IncomeTaxDisclosureLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_LeasesLineItems" name="LeasesLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_LongtermLicensingAgreementLineItems" name="LongtermLicensingAgreementLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_PrepaidExpenseAndOtherAssetsCurrentLineItems" name="PrepaidExpenseAndOtherAssetsCurrentLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_ScheduleOfIntangibleAssetsLineItems" name="ScheduleOfIntangibleAssetsLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_AcquiredTechnologiesMember" name="AcquiredTechnologiesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_AfterTheBusinessCombinationMember" name="AfterTheBusinessCombinationMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_AssetPurchaseAgreementMember" name="AssetPurchaseAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_BoardOfDirectorFeesForServicesIncludingRelatedTravelAndOutOfPocketReimbursementsMember" name="BoardOfDirectorFeesForServicesIncludingRelatedTravelAndOutOfPocketReimbursementsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_BusinessCombinationMember" name="BusinessCombinationMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_CaymanEquityIncentivePlanMember" name="CaymanEquityIncentivePlanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_Ccc2021EmployeeStockPurchasePlanMember" name="Ccc2021EmployeeStockPurchasePlanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_CccCaymanMember" name="CccCaymanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_CccFourHundredAndOneKRetirementSavingsAndInvestmentPlanMember" name="CccFourHundredAndOneKRetirementSavingsAndInvestmentPlanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_CccisIssuedCommonStockMember" name="CccisIssuedCommonStockMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_CccisOptionHoldersMember" name="CccisOptionHoldersMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_CccisShareholdersMember" name="CccisShareholdersMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_CccstwoThousandAndTwentyOneEquityIncentivePlanMemberMember" name="CccstwoThousandAndTwentyOneEquityIncentivePlanMemberMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_CompanyEarnoutSharesMember" name="CompanyEarnoutSharesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_ContingentConsiderationRelatedToBusinessAcquisitionMember" name="ContingentConsiderationRelatedToBusinessAcquisitionMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_CorporateHeadquartersChicagoLllinoisMember" name="CorporateHeadquartersChicagoLllinoisMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_CorporateOfficeMember" name="CorporateOfficeMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_CreditCardProcessingMember" name="CreditCardProcessingMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_CustomerAMember" name="CustomerAMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_CustomerBMember" name="CustomerBMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_CustomerOneMember" name="CustomerOneMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_DollarRevolvingCreditFacilityMember" name="DollarRevolvingCreditFacilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_DragoneerGrowthOpportunitiesCorpMember" name="DragoneerGrowthOpportunitiesCorpMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_DragoneerPublicShareholderAndSponsorMember" name="DragoneerPublicShareholderAndSponsorMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_EmployeeHealthInsuranceBenefitsExpensesMember" name="EmployeeHealthInsuranceBenefitsExpensesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_EquipmentLeasesMember" name="EquipmentLeasesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_ExtendedCreditFacilityMember" name="ExtendedCreditFacilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_ExtendedDollarRevolvingCreditFacilityMember" name="ExtendedDollarRevolvingCreditFacilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_ExtendedMulticurrencyRevolvingCreditFacilityMember" name="ExtendedMulticurrencyRevolvingCreditFacilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_FavorableLeaseTermsMember" name="FavorableLeaseTermsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_FeesAndExpensesMember" name="FeesAndExpensesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_FirstLienAmendmentMember" name="FirstLienAmendmentMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_FirstLienCreditAgreementMember" name="FirstLienCreditAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_FirstLienRevolversCreditFacilityMember" name="FirstLienRevolversCreditFacilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_FirstLienRevolversMember" name="FirstLienRevolversMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_FirstLienTermLoanMember" name="FirstLienTermLoanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_ForwardPurchaseAgreementMember" name="ForwardPurchaseAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_ForwardPurchasesMember" name="ForwardPurchasesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_HumanResourceSupportServicesMember" name="HumanResourceSupportServicesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_IncrementalTermLoanMember" name="IncrementalTermLoanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_LegacyCccShareholdersMember" name="LegacyCccShareholdersMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_LicensingAgreementMember" name="LicensingAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_LimitedPartnershipMember" name="LimitedPartnershipMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_LongTermPurchasingAgreementRelatingToLicensingDataUsedMember" name="LongTermPurchasingAgreementRelatingToLicensingDataUsedMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_MeasurementInputFairValueAtValuationDateMember" name="MeasurementInputFairValueAtValuationDateMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_MulticurrencyRevolvingCreditFacilityMember" name="MulticurrencyRevolvingCreditFacilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_NonExtendedCreditFacilityMember" name="NonExtendedCreditFacilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_NonExtendedDollarRevolvingMember" name="NonExtendedDollarRevolvingMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_NonExtendedMulticurrencyRevolverMember" name="NonExtendedMulticurrencyRevolverMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_NoSingleCustomerMember" name="NoSingleCustomerMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_NotesReceivableAgreementMember" name="NotesReceivableAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_OfficeSpaceAndDataCenterFacilitiesMember" name="OfficeSpaceAndDataCenterFacilitiesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_OtherServicesMember" name="OtherServicesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_OwnershipInterestMember" name="OwnershipInterestMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_PerformanceAndMarketBasedVestingConditionsMember" name="PerformanceAndMarketBasedVestingConditionsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_PerformanceBasedAwardsMember" name="PerformanceBasedAwardsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_PerformanceBasedVestingRequirementsMember" name="PerformanceBasedVestingRequirementsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_PhantomPlanMember" name="PhantomPlanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_PipeFinancingMember" name="PipeFinancingMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_PipeInvestorsMember" name="PipeInvestorsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_PriorToReverseRecapitalizationMember" name="PriorToReverseRecapitalizationMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_PriorToTheClosingMember" name="PriorToTheClosingMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_PrivateEquitySponsorMember" name="PrivateEquitySponsorMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_PrivateWarrantsMember" name="PrivateWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_PropertyPlantAndEquipmentNetMember" name="PropertyPlantAndEquipmentNetMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_PublicWarrantsMember" name="PublicWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_RelatedTravelAndOutOfPocketExpensesMember" name="RelatedTravelAndOutOfPocketExpensesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_ReservedForEmployeeStockPurchasePlanMember" name="ReservedForEmployeeStockPurchasePlanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_RestrictedStockUnitsAvailableForFutureGrantMember" name="RestrictedStockUnitsAvailableForFutureGrantMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_RetroactivelyRestatedBasedOnSharesMember" name="RetroactivelyRestatedBasedOnSharesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_SafekeepincMember" name="SafekeepincMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_SalesTaxProcessingServicesMember" name="SalesTaxProcessingServicesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_SecondLienCreditAgreementMember" name="SecondLienCreditAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_SecondLienTermLoanMember" name="SecondLienTermLoanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_SeriesACccisIssuedCommonStockMember" name="SeriesACccisIssuedCommonStockMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_SeriesBCccisIssuedCommonStockMember" name="SeriesBCccisIssuedCommonStockMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_SharePriceGreaterThanOrEqualToUsdFifteenPerShareMember" name="SharePriceGreaterThanOrEqualToUsdFifteenPerShareMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_SharePriceGreaterThanOrEqualToUsdThirteenPerShareMember" name="SharePriceGreaterThanOrEqualToUsdThirteenPerShareMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_SoftwareLicensesAndDatabaseMember" name="SoftwareLicensesAndDatabaseMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_SoftwareSubscriptionsMember" name="SoftwareSubscriptionsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_SponsorVestingSharesMember" name="SponsorVestingSharesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_SubscriptionAgreementMember" name="SubscriptionAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_TechnologyCompanyMember" name="TechnologyCompanyMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_TermBLoanMember" name="TermBLoanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_TermLoansMember" name="TermLoansMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_TimeBasedVestingConditionsMember" name="TimeBasedVestingConditionsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_TimeBasedVestingMember" name="TimeBasedVestingMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_TimeBasedVestingRequirementsMember" name="TimeBasedVestingRequirementsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_TriggeringSharePriceOneMember" name="TriggeringSharePriceOneMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_TriggeringSharePriceTwoMember" name="TriggeringSharePriceTwoMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_TwentyTwentyRefinancingMember" name="TwentyTwentyRefinancingMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_TwoThousandAndTwentyOneCreditAgreementMember" name="TwoThousandAndTwentyOneCreditAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_TwoThousandAndTwentyOneEquityIncentivePlanMember" name="TwoThousandAndTwentyOneEquityIncentivePlanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_TwoThousandAndTwentyOneRevolvingCreditFacilityMember" name="TwoThousandAndTwentyOneRevolvingCreditFacilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_TwoThousandSeventeenStockPlanMember" name="TwoThousandSeventeenStockPlanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_AccountingPoliciesTable" name="AccountingPoliciesTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_AccountsReceivableAllowanceForCreditLossTable" name="AccountsReceivableAllowanceForCreditLossTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_ComponentsOfDeferredTaxAssetsAndLiabilitiesTable" name="ComponentsOfDeferredTaxAssetsAndLiabilitiesTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_ContractWithCustomerAssetAndLiabilityTable" name="ContractWithCustomerAssetAndLiabilityTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_DebtInstrumentUnamortizedDiscountPremiumAndDebtIssuanceCostsNetTable" name="DebtInstrumentUnamortizedDiscountPremiumAndDebtIssuanceCostsNetTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_FiniteLivedIntangibleAssetsFutureAmortizationExpenseTable" name="FiniteLivedIntangibleAssetsFutureAmortizationExpenseTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_GoodwillAndIntangibleAssetsDisclosureTable" name="GoodwillAndIntangibleAssetsDisclosureTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_IncomeTaxDisclosureTable" name="IncomeTaxDisclosureTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_LeasesTable" name="LeasesTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_LongtermLicensingAgreementTable" name="LongtermLicensingAgreementTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_PrepaidExpenseAndOtherAssetsCurrentTable" name="PrepaidExpenseAndOtherAssetsCurrentTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_ScheduleOfIntangibleAssetsTable" name="ScheduleOfIntangibleAssetsTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cccs_AmortizationOfIntangibleAssetsPolicyTextBlock" name="AmortizationOfIntangibleAssetsPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_BasisOfAccountingPolicyTextBlock" name="BasisOfAccountingPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_BusinessAcquisitionDisclosureTextBlock" name="BusinessAcquisitionDisclosureTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_ContractWithCustomerLiabilityTableTextBlock" name="ContractWithCustomerLiabilityTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_DeferredFinancingCostsPolicyTextBlock" name="DeferredFinancingCostsPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_LeasesDisclosureOfLesseeTextBlock" name="LeasesDisclosureOfLesseeTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_RecentlyAdoptedAccountingPronouncementsPolicyTextBlock" name="RecentlyAdoptedAccountingPronouncementsPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_RedeemableNoncontrollingInterestTextBlock" name="RedeemableNoncontrollingInterestTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_ScheduleOfDebtInstrumentUnamortizedDiscountPremiumAndDebtIssuanceCostsTableTextBlock" name="ScheduleOfDebtInstrumentUnamortizedDiscountPremiumAndDebtIssuanceCostsTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_ScheduleOfEstimatedUsefulLifeOfPropertyPlantAndEquipmentTableTextBlock" name="ScheduleOfEstimatedUsefulLifeOfPropertyPlantAndEquipmentTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_ScheduleOfGrossAmountAccumulatedImpairmentLossAndCarryingAmountOfGoodwillTableTextBlock" name="ScheduleOfGrossAmountAccumulatedImpairmentLossAndCarryingAmountOfGoodwillTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_ScheduleOfIntangibleAssetsTableTextBlock" name="ScheduleOfIntangibleAssetsTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_ScheduleOfNumberOfSharesOfCommonStockOutstandingImmediatelyFollowingTheBusinessCombinationTableTextBlock" name="ScheduleOfNumberOfSharesOfCommonStockOutstandingImmediatelyFollowingTheBusinessCombinationTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_ScheduleOfReconciliationOfElementsOfBusinessCombinationToStatementOfCashFlowsAndMezzanineAndStockholdersEquityTableTextBlock" name="ScheduleOfReconciliationOfElementsOfBusinessCombinationToStatementOfCashFlowsAndMezzanineAndStockholdersEquityTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_ScheduleOfRevenueByMajorCustomersByReportingSegmentsByServiceTableTextBlock" name="ScheduleOfRevenueByMajorCustomersByReportingSegmentsByServiceTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_ScheduleOfSharesOfCommonStockReservedForFutureIssuancesTableTextBlock" name="ScheduleOfSharesOfCommonStockReservedForFutureIssuancesTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_ScheduleOfSupplementalCashFlowAndOtherInformationRelatedToLeasesTableTextBlock" name="ScheduleOfSupplementalCashFlowAndOtherInformationRelatedToLeasesTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_SellingAndMarketingPolicyTextBlock" name="SellingAndMarketingPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_WarrantLiabilityPolicyTextBlock" name="WarrantLiabilityPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cccs_WarrantsTextBlock" name="WarrantsTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
</xsd:schema>
