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 ( T2 T1)
:extrafuns (
(uf_2 T1)
(uf_3 T2)
(uf_4 T1)
)
:extrapreds (
(up_1 T1 T2)
)
:assumption (forall (?x1 T1) (?x2 T2) (iff (up_1 ?x1 ?x2) (= ?x1 uf_2)))
:assumption (iff (forall (?x3 T1) (exists (?x4 T2) (up_1 ?x3 ?x4))) (forall (?x5 T1) (up_1 ?x5 uf_3)))
:assumption (not (iff (exists (?x6 T2) (up_1 uf_4 ?x6)) (up_1 uf_4 uf_3)))
:formula true
)