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Within the quasi-two-body decay model, we study the localized $CP$ violationand branching fraction of the four-body decay $\bar{B}^0\rightarrow[K^-\pi^+]_{S/V}[\pi^+\pi^-]_{V/S} \rightarrow K^-\pi^+\pi^-\pi^+$ when$K^-\pi^+$ and $\pi^-\pi^+$ pair invariant masses are $0.35<m_{K^-\pi^+}<2.04\, \mathrm{GeV}$ and $0<m_{\pi^-\pi^+}<1.06\, \mathrm{GeV}$, with the pairsbeing dominated by the $\bar{K}^*_0(700)^0$, $\bar{K}^*(892)^0$,$\bar{K}^*(1410)^0$, $\bar{K}^*_0(1430)$ and $\bar{K}^*(1680)^0$, and$f_0(500)$, $\rho^0(770)$ , $\omega(782)$ and $f_0(980)$ resonances,respectively. When dealing with the dynamical functions of these resonances,$f_0(500)$, $\rho^0(770)$, $f_0(980)$ and $\bar{K}^*_0(1430)$ are modeled withthe Bugg model, Gounaris-Sakurai function, Flatt$\acute{\mathrm{e}}$ formalismand LASS lineshape, respectively, while others are described by therelativistic Breit-Wigner function. Adopting the end point divergenceparameters $\rho_A\in[0,0.5]$ and $\phi_A\in[0,2\pi]$, our predicted resultsare $\mathcal{A_{CP}}(\bar{B}^0\rightarrowK^-\pi^+\pi^+\pi^-)\in[-0.383,0.421]$ and $\mathcal{B}(\bar{B}^0\rightarrowK^-\pi^+\pi^+\pi^-)\in[7.36,199.69]\times10^{-8}$ based on the hypothetical$q\bar{q}$ structures for the scalar mesons in the QCD factorization approach.Meanwhile, we calculate the $CP$ violating asymmetries and branching fractionsof the two-body decays $\bar{B}^0\rightarrow SV(VS)$ and all the individualfour-body decays $\bar{B}^0\rightarrow SV(VS) \rightarrow K^-\pi^+\pi^-\pi^+$,respectively. Our theoretical results for the two-body decays$\bar{B}^0\rightarrow \bar{K}^*(892)^0$$f_0(980)$, $\bar{B}^0\rightarrow\bar{K}^*_0(1430)^0$$\omega(782)$, $\bar{B}^0\rightarrow\bar{K}^*(892)^0f_0(980)$, $\bar{B}^0\rightarrow\bar{K}^*_0(1430)^0\rho$,

Phenomenological studies on the $\bar{B}^0\rightarrow [K^-\pi^+]_{S/V}[\pi^+\pi^-]_{V/S} \rightarrow K^-\pi^+\pi^+\pi^-$ decay