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We study the superconductivity in the three-dimensional multiband d-p model, in which a CuO-ladder layer and a CuO-chain layer are alternately stacked, as a model of the superconducting spin-chain ladder cuprate. -Wave-like triplet superconductivity is found to be the most stable, and its dependence on interlayer coupling can explain the superconducting transition temperature dependence on pressure in real superconducting spin-chain ladder cuprates. The superconductivity may be enhanced if hole transfer from the chain layer to the ladder layer can be promoted beyond the typical transfer rate.

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