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From a global optimization perspective, a model without an objective is not relevant for Alpine, as it can always be solved to feasibility using any local solver. But, the error message can be better.
I am not familiar with the code base but in principle i would be highly surprised if Alpine couldn't also help a local solver find solutions faster on difficult feasibility problems by excluding parts of the search space based on relaxations and focusing the non linear solver on regions of suspected feasibility.
I have not narrowed this down to a minimal example yet.
I get this error output:
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