Construct System of Equations

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A system can be represented in the form of AND, OR, NOT and XOR gates/equations. The total number of equations of my system is around 650000 with 15000 unknown variables. Theoretically, if the number of equations is greater than the unknown variables, the system of equations become solvable. Practically, is it possible to construct and solve a system of equations of 650000 with 15000 unknown variables with some equation system solver?