Mercurial Mercurial > repos > isabelle / annotate
summary | shortlog | changelog | graph | tags | bookmarks | branches | files | changeset | file | latest | revisions | annotate | diff | comparison | raw | help
Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
src/HOL/SMT/Examples/cert/z3_linarith_11.proof
author bulwahn
Thu, 12 Nov 2009 21:14:42 +0100
changeset 33652 d7836058f52b
parent 33010 39f73a59e855
permissions -rw-r--r--
merged
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
33010
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
     1
 
#2 := false
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
     2
 
#11 := 4::real
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
     3
 
decl uf_2 :: real
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
     4
 
#8 := uf_2
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
     5
 
#7 := 7::real
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
     6
 
#9 := (* 7::real uf_2)
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
     7
 
decl uf_1 :: real
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
     8
 
#5 := uf_1
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
     9
 
#4 := 3::real
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    10
 
#6 := (* 3::real uf_1)
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    11
 
#10 := (+ #6 #9)
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    12
 
#41 := (>= #10 4::real)
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    13
 
#39 := (not #41)
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    14
 
#12 := (< #10 4::real)
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    15
 
#40 := (iff #12 #39)
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    16
 
#37 := [rewrite]: #40
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    17
 
#34 := [asserted]: #12
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    18
 
#38 := [mp #34 #37]: #39
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    19
 
#13 := 2::real
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    20
 
#14 := (* 2::real uf_1)
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    21
 
#43 := (<= #14 3::real)
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    22
 
#44 := (not #43)
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    23
 
#15 := (< 3::real #14)
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    24
 
#45 := (iff #15 #44)
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    25
 
#46 := [rewrite]: #45
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    26
 
#35 := [asserted]: #15
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    27
 
#47 := [mp #35 #46]: #44
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    28
 
#16 := 0::real
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    29
 
#51 := (>= uf_2 0::real)
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    30
 
#17 := (< uf_2 0::real)
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    31
 
#18 := (not #17)
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    32
 
#58 := (iff #18 #51)
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    33
 
#49 := (not #51)
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    34
 
#53 := (not #49)
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    35
 
#56 := (iff #53 #51)
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    36
 
#57 := [rewrite]: #56
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    37
 
#54 := (iff #18 #53)
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    38
 
#50 := (iff #17 #49)
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    39
 
#52 := [rewrite]: #50
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    40
 
#55 := [monotonicity #52]: #54
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    41
 
#59 := [trans #55 #57]: #58
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    42
 
#36 := [asserted]: #18
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    43
 
#60 := [mp #36 #59]: #51
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    44
 
[th-lemma #60 #47 #38]: false
39f73a59e855 added proof reconstructon for Z3,
boehmes
parents:
diff changeset 
    45
 
unsat
isabelle