JLPT N1Idioms

横車を押す

Meaning
道理に合わないことを無理に押し通す
Explanation
"横車を押す" means forcibly pushing through something unreasonable. From the image of forcibly pushing a sideways cart forward, it is used in situations where one forces an illogical claim by sheer power. c2 "an inefficient method" only means mere inefficiency and lacks the nuance of "unreasonable/irrational" that is the core of this question.
Original Japanese explanation

「横車を押す」は道理に合わないことを強引に押し通すこと。横向きの車を無理に前へ押す様子から、筋の通らない主張を力ずくで通す場面で使う。c2「効率の悪い方法」は単なる非効率の意で、本問の核心である「無理・理不尽」のニュアンスを欠く。

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