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Summary of Significant Accounting Policies (Details 2) (USD $) | 12 Months Ended
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Dec. 31, 2013
Property, Plant, and Equipment |
Minimum project cost required for capitalization of interest | $ 1,000,000.0
Minimum period required for completion of project for capitalization of interest | 6 months
Aircraft |
Property, Plant, and Equipment |
Useful life | 20 years
Minimum | Improvements to land |
Property, Plant, and Equipment |
Useful life | 15 years
Minimum | Buildings |
Property, Plant, and Equipment |
Useful life | 20 years
Minimum | Machinery and equipment |
Property, Plant, and Equipment |
Useful life | 5 years
Minimum | Automotive equipment |
Property, Plant, and Equipment |
Useful life | 5 years
Minimum | Furniture and fixtures |
Property, Plant, and Equipment |
Useful life | 3 years
Minimum | Railcars |
Property, Plant, and Equipment |
Useful life | 25 years
Maximum | Improvements to land |
Property, Plant, and Equipment |
Useful life | 30 years
Maximum | Buildings |
Property, Plant, and Equipment |
Useful life | 30 years
Maximum | Machinery and equipment |
Property, Plant, and Equipment |
Useful life | 30 years
Maximum | Automotive equipment |
Property, Plant, and Equipment |
Useful life | 15 years
Maximum | Furniture and fixtures |
Property, Plant, and Equipment |
Useful life | 10 years
Maximum | Railcars |
Property, Plant, and Equipment |
Useful life | 40 years

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- Definition Represents the minimum period required for completion of project for capitalization of interest to project cost. + References No definition available. + Details
Name: | cvi_MinimumPeriodForCompletionOfProjectRequiredForCapitalizationOfInterest
Namespace Prefix: | cvi_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

X
- Definition Represents the minimum amount of project cost required for capitalization of interest to project cost. + References No definition available. + Details
Name: | cvi_MinimumProjectCostRequiredForCapitalizationOfInterest
Namespace Prefix: | cvi_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Details
Name: | us-gaap_PropertyPlantAndEquipmentLineItems
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

X
- Definition Useful life of long lived, physical assets used in the normal conduct of business and not intended for resale, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days. Examples include, but not limited to, land, buildings, machinery and equipment, office equipment, furniture and fixtures, and computer equipment. + References No definition available. + Details
Name: | us-gaap_PropertyPlantAndEquipmentUsefulLife
Namespace Prefix: | us-gaap_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration