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The $N=1$ supersymmetric Born-Infeld theory coupled to $N=1$ supergravity infour spacetime dimensions is studied in the presence of a cosmological termwith spontaneous supersymmetry breaking. The consistency is achieved bycompensating a negative contribution to the cosmological term from theBorn-Infeld theory by a positive contribution originating from the gravitinocondensate. This leads to an identification of the Born-Infeld scale with thesupersymmetry breaking scale. The dynamical formation of the gravitinocondensate in supergravity is reconsidered and the induced one-loop effectivepotential is derived. Slow roll cosmological inflation with the gravitinocondensate as the inflaton (near the maximum of the effective potential) isviable against the Planck 2018 data and can lead to the inflationary (Hubble)scale as high as $10^{12}$ GeV. Uplifting the Minkowski vacuum (afterinflation) to a de Sitter vacuum (dark energy) is possible by the use of thealternative Fayet-Iliopoulos term. Some major physical consequences of ourscenario to reheating are briefly discussed also.

Gravitino condensate in $N=1$ supergravity coupled to the $N=1$ supersymmetric Born-Infeld theory