The present invention relates to BET protein-inhibitory, especially BRD4-inhibitory, dihydropyridopyrazinones of the general formula (I)in which A, X, R1, R2, R3, R4, R4, R6, R7 and n have the meanings given in the description, to intermediates for preparation of the compounds according to the invention, to pharmaceutical compositions comprising the compounds according to the invention, and to the prophylactic and therapeutic use thereof in the case of hyperproliferative disorders, especially in the case of neoplastic disorders.This invention further relates to the use of BET protein inhibitors in viral infections, in neurodegenerative disorders, in inflammation diseases, in atherosclerotic disorders and in male fertility control.