Hacking To The Gate by Kanoko Itou
This video includes both opening themes.
Lyrics(Romaji): ---------------------------------------------------------------------
Suujuuoku mono  kodou no kazu sae 
anata ni wa matataki teido no saji na toukyuu 
kako ni torawarete  mirai wo nageku mo 
chiri hitotsu  gosan wo yurusanu hitsuzen
"Mugen" ni hirogaru yume mo  egaku mirai mo 
bokutachi ni yurusareta  kyoei no genri 
"Yuugen" sore wa futatsu no  hari ga shimesu 
zankoku na yakujou to sentaku e  Hacking to the Gate---
Dakara ima ichibyou goto ni sekaisen wo koete 
kimi no sono egao  mamoritai no sa 
soshite mata kanashimi no nai jikan no RUUPU e to 
nomikomarete yuku  kodoku no kansokusha
Inochi no shuchou to  muimi no shoumei 
anata ni wa taikutsu shinogi ni taranu kokkei 
shihaisha kidori no  oroka na shuzoku wa 
unuboreta  chisetsu na teiri wo narabeta
"Mugen" to shinjita ai mo  sora no kanata mo 
bokutachi ni shimesareta  kasou no jiyuu 
"Yuugen" sore wa mujihi ni  toki wo kizami 
asu sae mo hitei suru sentaku e  Hacking to the Gate---
Ikutsu mono kagayakeru hibi nakama to no yakusoku 
nakatta koto ni wa  shite wa ikenai 
sono tame ni toki wo azamuku  nokosareta shikake ni 
mou mayoi wa nai  kodoku no kansokusha
Dakara ima ichibyou goto ni  sekaisen wo koete 
kimi no sono egao  mamoritai no sa 
soshite mata kanashimi no nai jikan no RUUPU e to 
nomikomarete yuku  kodoku no kansokusha
 
English Translation: ---------------------------------------------------------------
Even the number of the billions of the heartbeats, 
to you, is a trifle no more than a blink of the eye. 
Although I'm trapped in the past and lamenting at the future, 
I must not allow even a dust-sized miscalculation.
We have been given the theory of the right to brag vainly about 
both our "infinitely" expanding dream and our sketched future. 
The two hands of the clock point out the "finite" factor. 
I head towards a cruel contract and choice, hacking to the gate--
That's why, at this very moment, in the interval of a second, 
I wish to cross the world lines and protect your smile. 
Then, once again into a time loop devoid of misery, 
I will be swallowed as a lonely observer.
Even life's viewpoints and meaningless proofs, 
to you, are so laughable that you can't even use them to relieve your boredom. 
The foolish people of that race, acting as if they were the rulers of all, 
have presented childish theorems that reek of their conceitedness.
We have been shown the freedom to imagine things 
such as "infinite" love and what's beyond the sky. 
The "finite" is what's mercilessly allowing time to flow on, 
as I head towards my choice to deny even tomorrow, hacking to the gate-
I must not pretend that I've never made any promise 
with my friends back in those brilliant days. 
Therefore, I am a lonely observer with no more doubt 
in my remaining tricks that I will use to deceive time.
That's why, at this very moment, in the interval of a second, 
I wish to cross the world lines and protect your smile. 
Then, once again into a time loop devoid of misery, 
I will be swallowed as a lonely observer.
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