The beginning (0:00-1:13) are the following lyrics in order (Brihadaranyaka Upanishad 1.3.28 - बृहदारण्यक उपनिषद् 1.3.28.): 

asato ma sad gamaya - असतो मा सद्गमय
asato ma sad gamaya - असतो मा सद्गमय
tamaso ma jyotir gamaya - तमसो मा ज्योतिर्गमय
mrtyor mamrtam gamaya - मृत्योर् मामृतं गमय

asato ma sad gamaya - असतो मा सद्गमय
asato ma sad gamaya - असतो मा सद्गमय
tamaso ma jyotir gamaya - तमसो मा ज्योतिर्गमय
mrtyor mamrtam gamaya - मृत्योर् मामृतं गमय

Translated into English: 

From delusion lead me to [bad word] 
From delusion lead me to [bad word] 
From darkness lead me to light 
From death lead me to immortality. 

From delusion lead me to [bad word] 
From delusion lead me to [bad word] 
From darkness lead me to light 
From death lead me to immortality. 

**The women's lyrics (1:45-1:59) remain unknown.** 

Also, somewhere in the middle (2:45-2:56) they say: 

Om shanti shanti shanti - ॐ शान्ति शान्ति शान्ति 
Om shanti shanti shanti - ॐ शान्ति शान्ति शान्ति 
Om shanti shanti shanti om... - ॐ शान्ति शान्ति शान्ति   ॐ

Which translated means in English: 

Let there be peace everywhere. Shanti means peace in Sanskrit. 

(They repeat this) 

**chant (3:17-3:36): 
Ohm Aditya ya namo namaha - ॐ अदित्य या नमो नमः
Ohm Aditya ya namo namaha - ॐ अदित्य या नमो नमः
Ohm Aditya ya namo namaha - ॐ अदित्य या नमो नमः

Then the men sing this prayer (6:33-6:50) that goes (Vishnu Gayatri Mantra  विष्णु गायत्री मंत्र): 

om naarayanaya vidmahe ... - नारायण विधमह
vaasudevaya dimahe ... - वासुदेवाय धीमहि
tanno visnoh pacodayat ... - तन्नो विष्णु प्रचोदयात

Translation is something like this: 

I offer my respects to Naarayana 
I meditate on Vaasudeva 
Please Visnu give me enthusiasm 

Naarayana = father of mankind, place of mankind 
Vaasudeva = Son of Vasudeva (the son of Vasudeva is Krishna) 
Visnu = the God, the lord of goodness 

**The women's unknown lyrics (7:08-7:22) show up again.** 

Also, the climactic last 30 seconds(8:25-8:51) they say (Katha Upanisad 2.6.10 - कठ उपनिषद 2.6.10): 

jnanani manasa saha - ज्ञाना