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Commitments and Contingencies (Tables)
12 Months Ended
Dec. 31, 2017
Commitments and Contingencies Disclosure [Abstract]  
Summary of the entity's capital lease activity
The tables below summarize our capital lease activity:
 
Years Ended December 31,
 
2017
 
2016
 
2015
 
(Dollars in millions)
Assets acquired through capital leases
$
19

 
10

 
10

Depreciation expense
9

 
5

 
19

Cash payments towards capital leases
8

 
6

 
20

 
As of December 31,
 
2017
 
2016
 
(Dollars in millions)
Assets included in property, plant and equipment
$
57

 
40

Accumulated depreciation
24

 
22

Schedule of future annual minimum payments under capital lease
The future annual minimum payments under capital lease arrangements as of December 31, 2017 were as follows:
 
Future Minimum
Payments
 
(Dollars in millions)
Capital lease obligations:
 
2018
$
14

2019
10

2020
6

2021
2

2022
1

2023 and thereafter
3

Total minimum payments
36

Less: amount representing interest and executory costs
(6
)
Present value of minimum payments
30

Less: current portion
(12
)
Long-term portion
$
18

Schedule of future minimum payments under operating leases
At December 31, 2017, our future rental commitments for operating leases were as follows:
 
Future Minimum
Payments
 
(Dollars in millions)
Operating leases:
 
2018
$
36

2019
31

2020
24

2021
22

2022
18

2023 and thereafter
46

Total future minimum payments(1)
$
177

_______________________________________________________________________________
(1) 
Minimum payments have not been reduced by minimum sublease rentals of $22 million due in the future under non-cancelable subleases.