Let A be Xiao Wang's science student, B be Xiao Wang's liberal arts student, C be Xiao Wang's good math score, and ~ right and wrong operation.

The meaning of this question is:

(AC + ~A )( ~BA + B )( ~CB + C)

= ( A~BC + ABC + ~AB )( B~C + C)

= A~BC + ABC + ~AB~C + ~ABC

So, there are four possible situations,

1, Xiao Wang is a science student with good grades in mathematics, not a liberal arts student.

Xiao Wang is both a science student and a liberal arts student, and his math scores are very good.

Xiao Wang is a liberal arts student, not a science student, and his math performance is not good.

4. Xiao Wang is a liberal arts student with good math scores, not a science student.

None of the above four items are contradictory.