The correlation function of p$-\pi^-$ pairs for common and non-common ancestor obtained with PYTHIA 8.2 (Monash 2013 Tune) together with GEANT3 as a function of the pair relative momentum $k^*$ in several intervals of the pair $m_{\rm T}$: (a) $[0.54, 0.75)$ GeV/$c^2$, (b) $[0.75, 0.95)$ GeV/$c^2$, (c) $[0.95, 1.2)$ GeV/$c^2$, (d) $[1.2, 1.5)$ GeV/$c^2$, (e) $[1.5, 2.0)$ GeV/$c^2$, and (f) $[2.0, 2.5)$ GeV/$c^2$. The lines represent the statistical uncertainties. Resonance contributions such as the $\Delta^0$ have been explicitly removed in the common ancestor correlation functions as these contributions are modeled separately.