You are plain wrong with this claim "If you and your partner(s) use condoms and birth control CORRECTLY for five years, you will get pregnant."
"Are condoms effective at preventing pregnancy?
Yes. When used consistently and correctly condoms* are 98% effective at preventing pregnancy. This is according to leading health authorities such as the U.S. Centers for Disease Control and Prevention (CDC).1,2
Are condoms effective at preventing sexually transmitted infections?
Yes. Condoms have been proven to provide protection against sexually transmitted infections (STIs). In fact, condoms are the only contraceptive method that also provides STI protection. Condoms provide different levels of risk reduction for different STIs because infections are spread differently—some are spread by contact with bodily fluids while others are spread by skin to skin contact.
In general, research shows that condoms are most effective in preventing those STIs that are spread by bodily fluids, such as chlamydia, gonorrhea, and HIV. Condoms also can reduce the risk of contracting diseases spread by skin-to-skin contact, such as herpes and HPV. However, condoms only can protect against these diseases if the sores are in areas covered by the condom.3
Do condoms provide protection against HIV?
Yes. Long-term studies involving couples where one partner is HIV-positive and the other is not (called serodiscordant couples) allow researchers to estimate the incidence of transmission among condom users and nonusers. Studies of these couples have found that consistent condom use reduces the risk of HIV transmission by between 80 and 94%.3,4
Do condoms break and slip off frequently?
No. When used consistently and correctly, condoms are 98% effective in preventing pregnancy and are the only form of birth control that also can prevent STIs.3,7,8 This is why it’s important to follow directions for correct use."
http://factsaboutcondoms.com/pdf/Condom Effectiveness FAQ 2.4.13.pdf
The perfect (proper) use pregnancy rate of COCPs (birth control pills) is 0.3% per year.
Trussell, James; Robert Anthony Hatcher, Felicia Stewart (2007). "Contraceptive Efficacy". In Hatcher, Robert A., et al. Contraceptive Technology (19th rev. ed.). New York: Ardent Media. ISBN 0-9664902-0-7.