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#Mathematica (削除) 62 47 (削除ここまで) 33 bytes

With 14 bytes saved thanks to MartinE.

FreeQ[#⋂#2&Partition[#,2,1],{}]&

---

FreeQ[#⋂#2&Partition[#,2,1],{}]&[{{1},{1,2},{2,0,3},{0},{3,1}}]

False

FreeQ[#⋂#2&Partition[#,2,1],{}]&[{{1},{1,2},{2,0,3},{0},{3,0}}]

True