Tāmen duì zhōngjí rénmín fǎyuàn de pànjué tíqǐ shàngsù.
They appealed the Intermediate People's Court's ruling.
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China's court system has four tiers from bottom up: 基层 (basic) to 中级 (intermediate) to 高级 (high) to 最高人民法院 (Supreme). The Intermediate courts sit at prefecture-city level.