You are indeed violating Google's TOSbr
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Quote:
b AdSense for Search./b If You have elected to receive Search Results, You will display on Your Site(s) a Google search box (a "biSearch Box/i/b")
in accordance with the specifications provided by Google. Each Web
page(s) that contains a Search Box must also contain other content
related to Your Site. Except for related Google queries, all search
queries (including queries entered into an Ad search box) must
originate from individual human end users inputting data directly into
a Search Box (or Ad search box, as applicable) on Your Site(s). You
will send any and all queries (without editing, modifying, or filtering
such queries individually or in the aggregate) to Google and Google
will use commercially reasonable efforts to provide You with
corresponding Search Results and/or Ads, as applicable and as
available. Search Results and any accompanying Ads will be displayed on
Web pages hosted by Google (each, a "biSearch Results Page/i/b"), the format, look and feel of which may be modified by Google from time to time.
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https://www.google.com/adsense/termsbr
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You do not have content unique to your webpage, your site is merely a portal to hold google's search box.br