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CVC4 is an efficient open-source automatic theorem prover for satisfiability modulo theories (SMT) problems.

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(set-logic QF_SLIA)
(set-info :status unsat)
(declare-fun x () String)
(assert (str.in_re x (re.inter (re.comp (re.++ re.allchar (re.* re.allchar))) (re.++ (str.to_re "a") (re.* re.allchar)))))
(check-sat)

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