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Summary of Significant Accounting Policies (Details 2) (USD $)	12 Months Ended
	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

X

- 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

X

- 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