Does the 3SAT problems have to have consistent operators?
3SAT is a problem of deciding satisfiability of boolean formula in 3CNF form: this means that


Each clause has either exactly 3 different literals in each clause or at most 3 literals in each clause, according to different definitions.
Only $\lor$ operators can be used inside clauses (not counting varible negations).
Only $\land$ operators can be used outside clauses.


[General] SAT problem does not have a limit on number of literals in a clause and Circuit SAT allows any boolean formula.