。
She insists that the conditions are unfair.
Literal
She [topic-は] conditions [subject-が] unfair [quotative-と] insists.
言い張る (いいはる) is a compound verb meaning 'to insist, to assert stubbornly' — 言う ('say') + 張る ('stretch, persist'). It implies she won't back down from her position. 不公平 (ふこうへい, 'unfair') is a na-adjective using the prefix 不 (negation) + 公平 ('fair'). The と marks her claim as quoted content.