Received Termination Letter From Previous Employer

Hi
currently I am working in an MNC for past 4 years, before that I have worked in another MNC for 1 year but not relieved properly. Even though I served Notice period and did Exit Formalities, I have been terminated.
Now I want search again, I am confused whether to show that 1 year Previous employment.
Can you please suggest, I go ahead with 4 + 1 experience. Will the new employer accept my 1 year past experience without Relieving letter?
I got all Payslips, Form16, Service Certificate, Resignation mail from previous employer except Relieving letter.

If you dont show one year experience,you may need to explain gap.
If you show as terminated,you will need to explain the reasons in cogent manner to current employer.
New employers if convinced can take you without relieving letter.