SMT / Z3 AUTOMATED THEOREM PROVER ENGINE

Automated Formal Verification Proof Runner

Compile Solidity smart contracts into mathematical first-order logic. Prove state invariant correctness across an infinite search space of transaction permutations.

THM-01✓ PROVEN

Solvency Conservation (No Infinite Minting)

∀ state s: sum(userBalances[all]) ≤ totalCollateralDeposited

THM-02✕ COUNTEREXAMPLE

Reentrancy State Mutation Monotonicity

∀ external_call e: state_updated_before(e) == TRUE

THM-03✓ PROVEN

Admin Role Immutability Under Execution

∀ tx t: t.sender ≠ owner ⇒ owner(s_post) == owner(s_pre)

SMT-LIB2 Mathematical Logic Query

(declare-sort State)
(declare-fun balance (State Address) Int)
(declare-fun total_supply (State) Int)
(assert (forall ((s State) (a Address)) (>= (balance s a) 0)))
(assert (> (sum_balances s) (total_supply s)))
(check-sat)

Mathematical Invariant

Solvency Conservation (No Infinite Minting)

∀ state s: sum(userBalances[all]) ≤ totalCollateralDeposited

Mathematically guarantees that total token debt never exceeds reserve vault assets across any possible permutation of transactions.

Solver Execution: 142msSearch Depth: 32 steps