src/HOL/SMT/Examples/cert/z3_nat_arith_07
author boehmes
Tue, 20 Oct 2009 10:11:30 +0200
changeset 33010 39f73a59e855
permissions -rw-r--r--
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)
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
33010
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset
     1
(benchmark Isabelle
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset
     2
:extrasorts ( T1 T2)
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset
     3
:extrafuns (
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset
     4
  (uf_1 Int T1)
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset
     5
  (uf_2 T1 Int)
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset
     6
  (uf_5 T1)
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset
     7
 )
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset
     8
:extrapreds (
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset
     9
  (up_3 T1)
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset
    10
  (up_4 T1 T1)
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset
    11
 )
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset
    12
:assumption (forall (?x1 T1) (= (uf_1 (uf_2 ?x1)) ?x1))
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset
    13
:assumption (forall (?x2 Int) (implies (<= 0 ?x2) (= (uf_2 (uf_1 ?x2)) ?x2)))
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset
    14
:assumption (forall (?x3 Int) (implies (< ?x3 0) (= (uf_2 (uf_1 ?x3)) 0)))
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset
    15
:assumption (forall (?x4 T1) (iff (up_3 ?x4) (and (< 1 (uf_2 ?x4)) (forall (?x5 T1) (implies (up_4 ?x5 ?x4) (or (= ?x5 (uf_1 1)) (= ?x5 ?x4)))))))
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset
    16
:assumption (up_3 (uf_1 (+ (uf_2 (uf_1 (* 4 (uf_2 uf_5)))) 1)))
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset
    17
:assumption (not (<= 1 (uf_2 uf_5)))
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset
    18
:formula true
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset
    19
)