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The fluence-response curve of LiF:Mg,Ti (TLD-100) exposed to 0.7, 1.5 and 3 MeV protons has been measured in the 107-1012 protons.cm-2 fluence range. The total TL signal and glow curve peaks show in all cases a linear-supralinear response and the degree of supralinearity increases with the energy of the incident beam and the temperature of the TL peak. The possible effect on the results of alternative glow curve deconvolutions has been studied, finding only minor differences in the supralinearity functions for individual peaks. Measurements for peaks 5 and 8 have been compared with track interaction model (TIM and UNIM) predictions, and it is concluded that the assumption that O scales with LET fails to describe the observed energy dependence of the supralinearity.