irrefutably
adverb/ˌɪrɪˈfjuːtəbli/, /ɪˈrefjətəbli/
/ˌɪrɪˈfjuːtəbli/, /ɪˈrefjətəbli/
(formal)- in a way that cannot be proved wrong and that must therefore be accepted
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irrefutably
Definition of irrefutably adverb from the Oxford Advanced Learner's Dictionary