Quelle  vz_criteria.prf   Sprache: Lisp

(vz_criteria
 (vertical_exit_independence 0
  (vertical_exit_independence-1 nil 3431703025
   ("" (skeep)
    (("" (expand "vertical_exit_criterion?")
      (("" (lemma "vertical_sep_dir")
        (("" (inst?)
          (("" (replaces -1)
            (("" (expand "vertical_conflict?")
              (("" (ground)
                (("1" (skeep -2)
                  (("1" (inst? -1) (("1" (assert) nil nil)) nil)) nil)
                 ("2" (skeep 2)
                  (("2" (inst? 1)
                    (("1" (assert) nil nil) ("2" (assert) nil nil))
                    nil))
                  nil))
                nil))
              nil))
            nil))
          nil))
        )
        (vertical nil33173025
    nil)
   ((real_times_real_is_real application-judgement "real" reals nil)
(? const-decl "bool" vz_criteria nil
rational_pred [ -boolean )
    (rational nonempty-type-from-decl" )
    (integer_pred const-decl "[rational -> boolean]" integers nil)
(  -
    (/=             " ?)
(    )
    (OR const-decl("( 2java.lang.StringIndexOutOfBoundsException: Index 32 out of bounds for length 32
   const-decl, > equalitiesnil
            ))
    (- const-decl "[numfield -> numfield]" number_fields nil)
    (Sign type-eq-decl nil sign "reals/"      nil))
    (AND 
(  {   >  =- 
         nil)
java.lang.StringIndexOutOfBoundsException: Range [46, 39) out of bounds for length 39
" nil
    (t skolem-const-decl "real"( T  >]java.lang.StringIndexOutOfBoundsException: Index 53 out of bounds for length 53
    (  [,-"nil
       {   = >m java.lang.StringIndexOutOfBoundsException: Index 69 out of bounds for length 69
    rjava.lang.StringIndexOutOfBoundsException: Index 20 out of bounds for length 20
     ( numbers
    ( 
     " [ -boolean"java.lang.StringIndexOutOfBoundsException: Index 69 out of bounds for length 69
    ="  
    (real_plus_real_is_real  )
    (vertical_sep_dir  java.lang.StringIndexOutOfBoundsException: Index 35 out of bounds for length 35
 )
    (booleaninst")
    (number_field_pred const-decl "[number -> boolean]" number_fields
     "1
              vertical_exit_criterion
field]nil
    (real nonempty-type-from-decl nil 
    (bool nonempty-type-eq-decl nil booleans nil)
    (java.lang.StringIndexOutOfBoundsException: Index 11 out of bounds for length 11
nonneg_real)
    (  bool)
    ( ()
 )
     realjava.lang.StringIndexOutOfBoundsException: Index 67 out of bounds for length 67
   {  >m -
  ()
       " "njava.lang.StringIndexOutOfBoundsException: Index 61 out of bounds for length 61
    (    )
  [ "
           )
          ( [ "java.lang.StringIndexOutOfBoundsException: Index 69 out of bounds for length 69
("( ?java.lang.StringIndexOutOfBoundsException: Index 52 out of bounds for length 52
( ))nil
            nil))
nil
        nil))
)
        
   nil
      realnil
    (   ((Spz type-eq-decl))java.lang.StringIndexOutOfBoundsException: Index 46 out of bounds for length 46
          " "szhidejava.lang.StringIndexOutOfBoundsException: Index 54 out of bounds for length 54
    ( "
    (real_ge_is_total_order                   java.lang.StringIndexOutOfBoundsException: Index 32 out of bounds for length 32
     real_props (" )
    ((1
    (Spz(:?t)
    (H formal-const-decl "posreal"(1
      nil )
    (> const-decl "bool(1
    ((case="
         nil(1
    (- const-decl "[numfield -> (rewrite ""2
    (numfield((1
    (AND const-decl "[bool, (assert)
    ( (("1"(grind-reals )
    (>= const-declnil)
                                          
     nonempty-type-from-decl)
    (real_pred const-decl "((2
(  nil)
    (number_field_pred const-decl "("nil)
niljava.lang.StringIndexOutOfBoundsException: Index 45 out of bounds for length 45
  nil
    (number nonempty-type-decl "
)
  (vertical_exit_coordination-1 nil (java.lang.StringIndexOutOfBoundsException: Index 37 out of bounds for length 37
 )
    (("" (lemma  )
      java.lang.StringIndexOutOfBoundsException: Range [38, 36) out of bounds for length 43
        ("
(java.lang.StringIndexOutOfBoundsException: Index 46 out of bounds for length 46
2) java.lang.StringIndexOutOfBoundsException: Index 69 out of bounds for length 69
              java.lang.StringIndexOutOfBoundsException: Index 41 out of bounds for length 41
nil
          nil))
        nil)"1
      nil))
    nil)
   ((Spz type-eq-decl" >0java.lang.StringIndexOutOfBoundsException: Index 43 out of bounds for length 43
 c5java.lang.StringIndexOutOfBoundsException: Index 50 out of bounds for length 50
 38
   ("" (skeep)
    "(s""hide)
      (("" ()
        (("("java.lang.StringIndexOutOfBoundsException: Index 43 out of bounds for length 43
          (nil
            (("" "
              (("(java.lang.StringIndexOutOfBoundsException: Index 41 out of bounds for length 41
                ()
                  (("" (hide -1)
                    (("java.lang.StringIndexOutOfBoundsException: Range [36, 32) out of bounds for length 41
                      " ?)
                         -"
                           "
                            (("1" (rewrite(("java.lang.StringIndexOutOfBoundsException: Index 41 out of bounds for length 41
                              (("1niljava.lang.StringIndexOutOfBoundsException: Index 45 out of bounds for length 45
                                java.lang.StringIndexOutOfBoundsException: Index 41 out of bounds for length 41
                                                                     )
                                  (nil
     1
                                    (case "ns >= s")
                                    )
                                      (rewrite "sign_eq_1" 2)
                                      (nil)
                                        (assert)
                                        (("1" (grind-reals) nil nil))
                                        nil))
                                      nil)))
                                     ("2"
                                      (hide   ( nonempty-type-decln nil
                                      (("2"( "[,T >boolean] niljava.lang.StringIndexOutOfBoundsException: Index 53 out of bounds for length 53
( - - : rl
                                        (("2" (grind-reals) nil nil))
                                        nil))
                                      nil))
                                    nil))
nil
                                nil))
                              nil    nil )
(  java.lang.StringIndexOutOfBoundsException: Index 44 out of bounds for length 44
(2
                                (real-props :simple? t)
                                   "> )
                                     )
                                  ((rational java.lang.StringIndexOutOfBoundsException: Index 56 out of bounds for length 56
                                     ,>"nil
                                           
                                       "
("
                                        (assert)
                                        " )
                                        
(    java.lang.StringIndexOutOfBoundsException: Index 57 out of bounds for length 57
(
                                      (hide 5)
                                      java.lang.StringIndexOutOfBoundsException: Index 49 out of bounds for length 49
                                        (replaces
                                        /[-] 
                                        nil  e
                                      
                                    nil))
              
                                nilname-judgement
                              nil))
)
                          nil))
   java.lang.StringIndexOutOfBoundsException: Index 48 out of bounds for length 48
                       ("2mult_divides2 () )
                          java.lang.StringIndexOutOfBoundsException: Index 47 out of bounds for length 47
( "
                            (("1" (real-props :simple   
("
                                (cancel-by -5  "realsjava.lang.StringIndexOutOfBoundsException: Index 68 out of bounds for length 68
("
                                  (case "ns >= s")
(" +nnt*"?
                                    (rewrite (beta
1
                                      (java.lang.StringIndexOutOfBoundsException: Range [29, 27) out of bounds for length 39
                                      (("1(1 case "=
 (java.lang.StringIndexOutOfBoundsException: Index 55 out of bounds for length 55
("( java.lang.StringIndexOutOfBoundsException: Index 69 out of bounds for length 69
                                        nil))
nil))
                                    nil)
                                   ("2"
                                    (hide 3)
                                    (("2"
                                      (replaces (-4                                     ""
                                      (("2"nil
( )
                                    nil))
                                  nil))
                                nil))
                              (())
                            nil)
                           ("2" nil
                            nil))
                              ((" 2( ""
                                4)
                                (nsjava.lang.StringIndexOutOfBoundsException: Index 50 out of bounds for length 50
                                   )
)
                                    (rewrite niljava.lang.StringIndexOutOfBoundsException: Index 40 out of bounds for length 40
("
                                      (assert)
(("1
                                        (neg-formula 4)
                                        )java.lang.StringIndexOutOfBoundsException: Index 41 out of bounds for length 41
                                        nil))
                                      nil))
                                    nil)
(
                                    (hide 5)
                                    (("2"
                                      ((java.lang.StringIndexOutOfBoundsException: Index 35 out of bounds for length 35
                                      (("2assert)
                                      nil))
                                    nil))
                                  
                                nil)("
                              nil))("(nil)java.lang.StringIndexOutOfBoundsException: Index 65 out of bounds for length 65
                            nil))
                          nil))
nil)
                      nil))
                    nil))
                  nil))
                nil))
              nil)
            nil))
          nil))
        nil))
      nil))
    nil)
   ((number nonempty-type-decl nil("
    (boolean nonempty-type-decl nil                                  " 4java.lang.StringIndexOutOfBoundsException: Index 60 out of bounds for length 60
    (= const-decl "[T, T (""neg-formula ))
    (number_field_pred const-decl "[number -> boolean]" java.lang.StringIndexOutOfBoundsException: Index 65 out of bounds for length 38
     nil)
    numfield nilnumber_fieldsnil
    (+ const-decl "[numfield, numfield -> numfield]" java.lang.StringIndexOutOfBoundsException: Index 54 out of bounds for length 39
    ( nonempty-type-from-decl number_fields)
    (real_pred const-decl "[number_field -> boolean]" reals nil)
    (("2() nil )java.lang.StringIndexOutOfBoundsException: Index 65 out of bounds for length 65
    (* const-decl "[numfield, numfield -nil))
    (bool nonempty-type-eq-decl nil booleans nil                                  
    (>= const-decl "bool" reals nil
    (nnreal type-eq-decl))
    (sign_abs formula-decl nil sign "reals/nil)java.lang.StringIndexOutOfBoundsException: Index 31 out of bounds for length 31
( name-judgement(otal_orderreal"
     real_props nil)
    Signtype-eq-decl nil sign "/"
    (- const-decl "[numfield -> numfield]" number_fieldsnil)
    (nil)
    (nzint nonempty-type-eq-decl nil integers nil)
    int nil integers )
    (integer_pred nil))
    (rational nonempty-type-from-decl nil rationals))
    (rational_pred const-decl "[real -> boolean]" rationalsnil
    (=const-declboolean  niljava.lang.StringIndexOutOfBoundsException: Index 42 out of bounds for length 42
    ( const-decl" > bool"booleans)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (negreal nonempty-type-eq-decl nil real_types nil)
    (  "bool" reals)
    (nonpos_real nonempty-type-eq-decl nil real_types nil)
    (< const-decl bool nil
    (sign_eq_neg1 formula-decl nil sign "reals/")
    (minus_odd_is_odd application-judgement "odd_int" integers nil)
    (CBD_57 skolem-const-decl "real" vz_criteria nil)
    (both_sides_times_neg_ge1_imp formula-decl nil extra_real_props
     nil)
    (div_mult_neg_le1 formula-decl nil real_props nil)
    (both_sides_plus_le1 formula-decl nil real_props nil)
    (both_sides_times_pos_le2 formula-decl nil real_props nil)
    (minus_real_is_real application-judgement "real" reals nil)
    (neg_one_times formula-decl nil extra_tegies nil)
    (sign_eq_1 formula-decl nil sign "reals/")
    (> const-decl "bool" reals nil)
    (real_gt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (TRUE const-decl "bool" booleans nil)
    (id const-decl "(bijective?[T, T])" identity nil)
    (bijective? const-decl "bool" functions nil)
    (CBD_56 skolem-const-decl "real" vz_criteria nil)
    (nznum nonempty-type-eq-decl nil number_fields nil)
    (/ const-decl "[numfield, nznum -> numfield]" number_fields nil)
    (nonneg_real nonempty-type-eq-decl nil real_types nil)
    (both_sides_times_pos_ge1_imp formula-decl nil extra_real_props
     nil)
    (nzreal_div_nzreal_is_nzreal application-judgement "nzreal"
     real_types nil)
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (div_mult_pos_ge1 formula-decl nil real_props nil)
    (zero_times1 formula-decl nil real_props nil)
    (real_div_nzreal_is_real application-judgement "real" reals nil)
    (zero_div formula-decl nil extra_tegies nil)
    (ge_times_ge_pos formula-decl nil real_props nil)
    (ge_plus_ge formula-decl nil real_props nil)
    (pos_times_ge formula-decl nil real_props nil)
    (one_times formula-decl nil extra_tegies nil)
    (neg_times_ge formula-decl nil real_props nil)
    (both_sides_times_neg_ge1 formula-decl nil real_props nil)
    (mult_divides2 application-judgement "(divides(m))" divides nil)
    (mult_divides1 application-judgement "(divides(n))" divides nil)
    (even_times_int_is_even application-judgement "even_int" integers
     nil)
    (mult_neg formula-decl nil extra_tegies nil)
    (neg_neg formula-decl nil extra_tegies nil)
    (both_sides_times_pos_ge2 formula-decl nil real_props nil)
    (both_sides_plus_ge1 formula-decl nil real_props nil)
    (CBD_58 skolem-const-decl "real" vz_criteria nil)
    (neg_ge formula-decl nil real_props nil)
    (le_plus_le formula-decl nil real_props nil)
    (le_times_le_pos formula-decl nil real_props nil)
    (CBD_59 skolem-const-decl "real" vz_criteria nil)
    (real_times_real_is_real application-judgement "real" reals nil)
    (real_plus_real_is_real application-judgement "real" reals nil))
   shostak)
  (vertical_sep_dir_at-1 nil 3432124634
   ("" (skeep)
    (("" (name-replace "s" "sz+nnt*vz" :hide? nil)
      (("" (name-replace "ns" "sz+nnt*nvz" :hide? nil)
        (("" (beta)
          (("" (flatten)
            (("" (rewrite "sign_abs")
              (("" (rewrite "sign_abs")
                (("" (typepred "dir")
                  (("" (hide -1)
                    (("" (split)
                      (("1" (replaces -1)
                        (("1" (hide -5)
                          (("1" (case "s>=0")
                            (("1" (rewrite "sign_eq_1")
(vz_criteria
                                (cancel-by -5 "")
                                (("1"
                                  (case "ns >= s")
                                  (("1"
                                    (rewritesign_eq_1 2
                                    (("1"
                                      ("1" (inst?-)("" (  ) nil)nil
                                      (("1" (grind-reals(""(assert )(2 ()nil))
                                     
                                    nil)
                                   
                                    hide)
                                    (2
                                      (replaces (-4 -5) :dir( nonempty-type-from-decl  niljava.lang.StringIndexOutOfBoundsException: Index 56 out of bounds for length 56
                                      (("2" (grind-reals) nil nil))
                                      nil))
                                    (  "numfield->numfield] niljava.lang.StringIndexOutOfBoundsException: Index 61 out of bounds for length 61
                                  nil    abs "{n: nonneg_real |n>= AND n >=-} real_defs
                                nil))
                              java.lang.StringIndexOutOfBoundsException: Index 34 out of bounds for length 34
             ("( ""
                              ((""
                                (cancel-byreal_props)
((""
                                  (case "ns <= s")
                                  (("1"
                                    vertical_sep_dirformula-declverticalniljava.lang.StringIndexOutOfBoundsException: Index 52 out of bounds for length 52
                                    (1

                                      ""()  nil)
                                             booleans nil)
                                    nil
                                   
                                    hide5)
java.lang.StringIndexOutOfBoundsException: Range [50, 36) out of bounds for length 41
                                      (   " skeep
                                      (("2" (
                                      nil))
                                    nil)
                                  nil)            (""expand?"
                                nil))            )
                              nil)
                            nil "real realsniljava.lang.StringIndexOutOfBoundsException: Index 68 out of bounds for length 68
nil)
                        nil)
                       ("2" (replaces -1)
                        (("2" (case "s>=0")
((1 rewritesign_eq_1
                            ("cancel-by - s)
                              (("1"
                                (case "ns >= s")(  posreal nil
                                ( const-decl "" )
                                  (rewrite "sign_eq_1" 2)
                                  ""
                                    (assert)
                                    (("1" (neg-formula 2) nil nil))
                                    nil))
                                  )
                                 ""
(hide
                                  (("2"
                                   (45 dir)
                                    ""()nil)
                                    )
                                 )
                                )
                              nil)
                            nil)
                           ("2" (rewrite "sign_eq_neg1")
                                  ("( 1""""java.lang.StringIndexOutOfBoundsException: Index 36 out of bounds for length 36
                              (("2"
                                (case "ns <= s")
                                (("1"
                                  (rewrite "sign_eq_neg1" 4)
                                  (("1"
                                    
                                    "1" (neg-formula4)nilnil)
                                    nil))
                                  nil)
                                 ("2"
                                  (hide 5)
                                  (("2"
                                    ))
(("2 ()nilnil)
                                    nil))
                                  nil))
                                nil))
                              nil))
                            )java.lang.StringIndexOutOfBoundsException: Index 33 out of bounds for length 33
      (("" (nam" ("""+*":?nil)
                        nil))
                      nil))          ("()
                    nil))
                  nil))
                nil))
              nil))
            nil))
          nil))
        nil))
      )
    nil
   (   sign/)
    (Sign  ((1
    ( formula-declnilsignreals)
    (sign_eq_1 nilsign"eals/")
   nil)))