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What is happening is: an ideal with generators $x_i^2 + x_i$ etc. plus your generators is created in the polynomial ring over GF(2) with lexicographic ordering, and a Groebner basis of this has to be computed, and for this Singular chooses an algorithm which doesn't work here. I think it's not easy to work around this on the SageMath level, so I reported it on the Singular trac.
