Use the tools discussed in this section to reduce the number of terms in the following syllogism. Then use the six rules to determine whether the syllogism is valid or invalid under the modern interpretation.
All C are B.
All B are A.
All A are non-C.
Some B are non-C.
Some C are not A.
No B are non-A.
No C are A.
No A are C.
Some C are not non-B.
No C are B.
Some A are B.
Some C are A.
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