z3 produces unknown for assertions without quantifiers

Question

I have some simple constraints involving multiplication of reals in z3 that are producing unknown. The problem seems to be that they are wrapped in a datatype,

Answer 1

Your examples are in non-linear arithmetic. Z3 4.0 is able to solve problems with only non-linear arithmetic assertions, but not along with uninterpreted functions and other theories. That explains why it produces unknown in the first example. This limitation is likely to be addressed in Z3's future versions.