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 T2)
: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 (not (let (?x4 (uf_1 (+ 1 (uf_2 uf_3)))) (flet ($x5 (if_then_else (< 0 (uf_2 ?x4)) true false)) (or (iff $x5 (= (uf_1 (- (uf_2 ?x4) 1)) uf_3)) $x5))))
:formula true
)