In a supersymmetric (SUSY) theory, the IR-contributions to the Higgs mass are calculable below the mediation scale $Lambda_{text{UV}}$ in terms of the IR field content and parameters. However, logarithmic sensitivity to physics at $Lambda_{text{UV}}$ remains. In this work we present a first example of a framework, dictated by symmetries, to supersoften these logarithms from the matter sector. The result is a model with finite, IR-calculable corrections to the Higgs mass. This requires the introduction of new fields -- the `lumberjacks -- whose role is to screen the UV-sensitive logs. These models have considerably reduced fine-tuning, by more than an order of magnitude for high scale supersymmetry. This impacts interpretations of the natural parameter space, suggesting it may be premature to declare a naturalness crisis for high-scale SUSY.
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