VerifyRealRoots

A MATLAB package for computing real verified solutions of polynomial systems of equations and inequalities

Zhengfeng Yang and Lihong Zhi

Polynomial systems of equations and inequalities

The examples are all from Meti-Tarski Project.
Reference: Behzad Akbarpour and L. C. Paulson. MetiTarski: An automatic theorem prover for real-valued special functions. J. Automated Reasoning 44 3 (2010), 175–205.
Performance summary