added proof reconstructon for Z3,
added certificates for simpler re-checking of proofs (no need to invoke external solvers),
added examples and certificates for all examples,
removed Unsynchronized.ref (in smt_normalize.ML)
(benchmark Isabelle
:extrasorts ( T1)
:extrafuns (
(uf_1 Int T1)
(uf_2 T1 Int)
(uf_3 T1)
)
:assumption (forall (?x1 T1) (= (uf_1 (uf_2 ?x1)) ?x1))
:assumption (forall (?x2 Int) (implies (<= 0 ?x2) (= (uf_2 (uf_1 ?x2)) ?x2)))
:assumption (forall (?x3 Int) (implies (< ?x3 0) (= (uf_2 (uf_1 ?x3)) 0)))
:assumption (< (uf_2 uf_3) 3)
:assumption (not (< (uf_2 (uf_1 (* 2 (uf_2 uf_3)))) 7))
:formula true
)