I've run into this problem before. You've got both versions of CPLEX installed, and cobrapy is not finding the right one. Here's what I did.
1. In the conda environment where cobrapy is running, type "cplex" at the command prompt. That will show you which version of CPLEX your environment has access to, so you can know when you've fixed the problem.
3. Then type "cplex" at the command prompt again. You should see that you're accessing the full version of the solver.
-Dan