Two superconducting phases in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">CeRh</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>−</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi mathvariant="normal">Ir</mml:mi></mml:mrow><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mrow><mml:mi mathvariant="normal">In</mml:mi></mml:mrow><mml:mn>5</mml:mn></mml:msub></mml:mrow></mml:math>

Pressure studies of ${\mathrm{CeRh}}_{1\ensuremath{-}x}{\mathrm{Ir}}_{x}{\mathrm{In}}_{5}$ indicate two superconducting phases as a function of $x$, one with ${T}_{c}\ensuremath{\geqslant}2\phantom{\rule{0.3em}{0ex}}\mathrm{K}$ for $x&lt;0.9$ and the other with ${T}_{c}&lt;1.2\phantom{\rule{0.3em}{0ex}}\mathrm{K}$ for $x&gt;0.9$. The higher ${T}_{c}$ phase, phase 1, emerges in proximity to an antiferromagnetic quantum-critical point; whereas, Cooper pairing in the lower ${T}_{c}$ phase 2 is inferred to arise from fluctuations of a yet to be found magnetic state. The $T\text{\ensuremath{-}}x\text{\ensuremath{-}}P$ phase diagram of ${\mathrm{CeRh}}_{1\ensuremath{-}x}{\mathrm{Ir}}_{x}{\mathrm{In}}_{5}$, though qualitatively similar, is distinctly different from that of ${\mathrm{CeCu}}_{2}{({\mathrm{Si}}_{1\ensuremath{-}x}{\mathrm{Ge}}_{x})}_{2}$.