。
I argued to refute the falsehood.
Literal
I [topic-は] falsehood [object-を] refute-[volitional-よう]-[quotative-と] debated.
虚偽 (きょぎ, 'falsehood, deception') — a formal Sino-Japanese word. 論破する (ろんぱ, 'to refute, demolish an argument'). 論争する (ろんそう, 'to argue, debate'). ~しようと ('trying to') uses volitional + と for purpose.