Define the SMT problem and constraints
Choose the SMT logic to use
Encode the problem into formulas
Convert formulas into suitable normal form if needed
Build or select a SAT solver
Build or select a theory solver
Integrate SAT and theory solving
Implement Boolean abstraction of theory atoms
Add conflict detection in the theory solver
Add theory propagation in the theory solver
Add conflict clauses from theory conflicts
Add theory lemmas to the SAT solver
Implement decision heuristics
Implement backtracking and clause learning
Implement consistency checking between solvers
Test on benchmark SMT instances
Optimize performance and memory usage
Validate correctness against known results