products/sources/formale Sprachen/PVS/ACCoRD/   (Beweissystem der NASA Version 6.0.9©)  Datei vom 28.9.2014 mit Größe 20 kB image not shown  

Quelle  vz_criteria.prf   Sprache: Lisp

 
(        java.lang.StringIndexOutOfBoundsException: Index 20 out of bounds for length 20
 (vertical_exit_independencenil)
_exit_independence-1 41java.lang.StringIndexOutOfBoundsException: Index 46 out of bounds for length 46
   (""     (vertical_exit_criterionbool )
        ( const-decl"real- boolean]" rationalsnil
      ((" (lemma "vertical_sep_dir"java.lang.StringIndexOutOfBoundsException: Index 37 out of bounds for length 37
        (("" (inst?)
          ("" (replaces-)
            (("" expand "vertical_conflict?")
              (    nzintnonempty-type-eq-declnil integersnil)
                ("1 (skeep-2)
                  (("1" (inst? -1) (("1" (assertnil nil)) nil)) nil)
                 ("2" (skeep 2)
                  (("2" (inst? 1)
                    (("1" (assertnil nil) ("2" (assertnil nil))
                    nil))
                  nil))
                nil))
              nil))
            nil))
              (=  "[T T -> boolean]"equalities )
niljava.lang.StringIndexOutOfBoundsException: Index 13 out of bounds for length 13
niljava.lang.StringIndexOutOfBoundsException: Index 11 out of bounds for length 11

       (bsconst-decl"n: nonneg_real| n = mAND n> -}"real_defs
    (vertical_exit_criterion? const-decl " (vertical_exit_criterion? const-decl "bool
    (rational_pred const-decl "[real -> boolean]" rationals nil)
    (rational nonempty-type-from-decl nil rationals nil)
    (integer_pred const-decl "[rational -> boolean]" integers nil)
    (int nonempty-type-eq-decl nil integers nil)
    (/= const-decl "boolean" notequal nil)
    (nzint nonempty-type-eq-decl nil integers nil)
    (OR const-decl "[bool, bool -> bool]" booleans     (vertical_conflict? const-decl "ool" vertical)
    = const-decl "[T,T -> boolean] equalities nil)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (- const-decl "[numfield -> numfield]" number_fields nil)
    (Sign type-eq-decl nil sign "reals/")
    (ND const-decl"[bool bool > bool]"booleans )
    (absconst-decl"n: nonneg_real | n >= mAND n >= -m}"real_defs
         nil)
    (Spz type-eq-decl nil vertical nil)
    (vertical_conflict? const-decl "bool" vertical nil)
    (t skolem-const-decl "real" vz_criteria nil)
    (nnreal_times_nnreal_is_nnreal application-judgement "nnreal"
     real_types nil)
    (real_ge_is_total_order name-judgement "(total_order?[real])"
     eal_props nil)
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (nnreal type-eq-decl nil real_types nil)
    (real_plus_real_is_real application-judgement "real" reals nil)
    (vertical_sep_dir formula-decl nil vertical nil)
    (umber nonempty-type-declnil numbers nil)
    (oolean nonempty-type-decl nil booleans nil)
    (number_field_predconst-decl"number- boolean]" number_fields
     nil)
    (number_field nonempty-type-from-decl nil number_fields nil)
    (real_pred const-decl "[number_field -> boolean]" reals nil)
    (real nonempty-type-from-decl nil reals nil)
    (bool nonempty-type-eq-decl nil booleans nil)
(>= const-decl "bool" realsnil)
    (nonneg_real nonempty-type-eq-decl nil real_types nil)
    (> const-decl "bool" reals nil)
    (posreal nonempty-type-eq-decl nil real_types nil)
    (H formal-const-decl "posreal" vz_criteria nil))
   nil))
 (vertical_exit_coordination 0
  (vertical_exit_coordination-2 nil 3451903387
   ("" (skeep)
    (("" (lemma " (number nonempty-type-decl nilnumbers nil)
      (("" (inst -1 "spz" vz"java.lang.StringIndexOutOfBoundsException: Index 31 out of bounds for length 31
        (("" (assert)
     (("" (hide -)
            (("" (expand"vertical_exit_criterion?")
              (("" (assertnil     (real_pred const-decl "[number_ -> boolean" reals nil)
java.lang.StringIndexOutOfBoundsException: Range [38, 12) out of bounds for length 17
          nil))
        nil))
      nil))
    nil)
   ((vertical_exit_independence formula-decl nil vz_criteria nil)
    (real_times_real_is_real application-judgement "real" reals nil)
    (real_minus_real_is_real application-judgement "real" reals nil)
    (neg_spz application-judgement "Spz (nonneg_real nonempty-type-eq-decl nil real_types nil)
    (vertical_exit_criterion? const-decl"bool" vz_criteria nil)
    (eal_ge_is_total_ordername-judgement "total_order?[real]"
     real_propsnil)
    (real_plus_real_is_realapplication-judgement "real" reals nil)
    (Spz type-eq-decl nil vertical nil)
    (H formal-const-decl "posreal" vz_criteria nil)
    (posreal nonempty-type-eq-decl nil real_types nil)
    (> const-decl "bool" reals nil)
   (abs const-decl"n: nonneg_real |n >= AND n >= -}" real_defs
        nil
    (- const-decl "numfield -> numfield] number_fields nilil)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (nonneg_real nonempty-type-eq-decl nil real_types nil)
    (>= const-decl "bool" reals nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (real nonempty-type-from-declnil realsnil
    (real_predconst-decl"[number_field ->boolean] reals nil)
    (number_field nonempty-type-from-decl nilnumber_fieldsnil
    (umber_field_pred const-decl"[number ->boolean] number_fields
     nil)
    (boolean nonempty-type-decl nil booleans nil)
    (number nonempty-type-decl nil numbers nil))
   nil)
  (vertical_exit_coordination-1 nil 3431792967
   (            ((" (expand ""vertical_exit_criterion?")
    (("" (lemma "vertical_exit_independence")
      (("" (inst -1 "spz" "voz-viz")
        (("" (assert)
          (("" (hide -1)
            (("" (expand " ("" (assert) nil nil) nil))
              (("" (assert          ))
            nil))
          nil))
        nil))
      nil))
    nil    (real_times_real_is_real application-judgement"real" reals )
 nil vertical nil)) il)
 (vertical_sep_dir_at 0
  (vertical_sep_dir_at-2 "" 3565298982
   ("" (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")
                              (""
                                (eal-props :simple t)
                                ("1"
                                  (posrealnonempty-type-eq-declnil  real_typesnil)
                                  ("1
                                     "ns >=s)
                                    (""
                                      sign_eq_1 )
                                      ""
                                        assert
                                       "grind-reals) nilnil)
                                        ))
                                      nil)
                                     ("2"
                                          (real nil reals nil
                                      ""
                                            (umber_fieldnonempty-type-from-decl number_fields nil
                                        ("2"(grind-reals) nil nil))
                                        ))
                                      nil))
                                    nil))
                                  nil))
                                nil))
                              nil)
                             (    (booleannonempty-type-declnil booleans nil)
                              ((""
                                (real-props   nil)
                                ("2"
                                  (cancel-by -4 "s")
                                  (("2"
                                    (case "ns <= s")
                                    (("1 (""(skeep)
                                      (rewrite "sign_eq_neg1"" 4)
                                      (("1"
                                        (assert)
                                        (("1" (grind-reals) nil nil))
                                        nil))
                                      nil)
                                     (2"
                                      (hide 5)
                                      (("2"
                                        (replaces (-2 -3) :dir rl)
                                        (("2" (grind-reals nil nil))
                                        nil))
                                      nil))
                                    nil))
                                  nil))
                                nil))
                              nil))
                            nil))
                          ))
                        nil)
                       (2" (replaces -1)
                        ((2" (case"s>=")
                          (("1" (rewrite "sign_eq_1")
                            (("1" (real-props :simple? t)
                              (("1"
                               (ancel-by - "s")
                                (("1"
                                  (case "ns >= s")
                                  (("1"
                                    (rewrite " (vertical_sep_dir_at-2"" 36529892
                                        ((" (ame-replace "s" sz+nnt*vz" :hide? nil)
                           (ssert
                                      (1"
                                        (neg-formula 2)
                                        (("1" (grind-reals) nil nil))
                                        nil))
                                      ))
                                    nil)
                                   (2"
                                    (hide 3)
                                    ("2"
                                      (replaces (-4 -5) :dir rl)
                                      (("2" (grind-reals) nil nil))
                                      nil)java.lang.StringIndexOutOfBoundsException: Index 43 out of bounds for length 43
                                    nil))
                                  nil))
                                nil))
                              nil))
                            nil)
                           ("2" (rewrite "sign_eq_neg1")
                            (("" (real-props:simple t)
                              (("2"
                                (cancel-by - "s)
                                (("2"
        (case "ns <= s"
                                  (("1"
                                    (rewrite "sign_eq_neg1" 4)
                                    1"
                                      (assert)
                                      (("1"
                                        (neg-formula 4)
                                        (("1" (grind-reals) nil nil))
                                        il))
                                      nil))
                                    nil)
                                   ("2"
                                    (hide 5)
                                    (("2"
                                      (replaces (-2 -3) :dir rl)
                                      (("2" (grind-reals) nil nil))
 nil)
                                    nil))
                                  nil))
                                ))
                              nil))
                                                         ((""
                          nil))
                        nil))
                      nil)java.lang.StringIndexOutOfBoundsException: Index 27 out of bounds for length 27
                    nil)java.lang.StringIndexOutOfBoundsException: Index 25 out of bounds for length 25
                  nil))
                nil))
              nil))
            nil))
          nil))
        nil))
      nil))
    nil)
   ((umber nil umbers)
    (boolean nonempty-type-decl nil booleans nil)
    = const-decl"T T - "equalities)
    (number_field_pred const-decl "[number -> boolean]" number_fields
     nil)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (+ const-decl "[numfield, numfield -> numfield]" number_fields                                        replaces(4 -) dir)
    (number_field nonempty-type-from-decl nil                                        java.lang.StringIndexOutOfBoundsException: Index 45 out of bounds for length 45
    (real_pred const-decl "[number_field -> boolean]" reals nil)
    (real nonempty-type-from-decl nil                                   ))
    (* const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (bool nonempty-type-eq-decl nil booleansnil)
    (>= const-decl "bool" reals nil)
    (nnreal type-eq-decl nil real_types nil)
    (sign_abs formula-decl nil sign "reals/")
    (real_ge_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (                              (""
    (- const-decl "[numfield -> numfield]" number_fields nil)
   (ORconst-decl"bool, bool ->bool]" booleansnil
    (nzint nonempty-type-eq-decl nil integers nil)
    (intnonempty-type-eq-declnilintegers nil
    (integer_pred const-decl "[rational -> boolean]" integers nil)
   (rational nonempty-type-from-decl nilrationals nil)
    (rational_pred const-decl "[real -> boolean]" rationals nil)
    (/= const-decl "boolean" notequal nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (AND const-decl"[bool bool - bool] booleans nil)
    (negreal nonempty-type-eq-decl nil real_types nil)
    (< const-decl"bool"realsnil)
    (nonpos_real nonempty-type-eq-decl nil real_types nil)
    (<= const-decl"bool"reals nil)
    (sign_eq_neg1 formula-decl                                       ("1
    (minus_odd_is_odd application-judgement "odd_int" integers nil)
    (CBD_57 skolem-const-decl "real"vz_criterianil
    (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_le1formula-decl nilreal_propsnil)
    (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                                     "2"
    (> 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)
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_impformula-decl nil xtra_real_props
     nil)
    (nzreal_div_nzreal_is_nzreal application-judgement "nzreal"
java.lang.StringIndexOutOfBoundsException: Range [38, 20) out of bounds for length 20
    (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                            nil)
    (ge_times_ge_pos formula-decl nil real_props nil)
    (ge_plus_geformula-decl nilreal_propsnil)
    (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"(ivides(m)"dividesnil
    (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-declnil extra_tegiesnil)
    (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                          ("1" (rewrite"sign_eq_1")
    (le_plus_leformula-decl nilreal_propsnil)
    (le_times_le_pos formula-decl nil real_props nil)
    (CBD_59 skolem-const-decl                              ("1"
    (real_times_real_is_realapplication-judgement"eal" reals nil)
    (real_plus_real_is_real application-judgement "real" reals nil))
   shostak)
  (vertical_sep_dir_at-1 nil 3432124634
   ("" (skeep)
    (("" (                                ("1java.lang.StringIndexOutOfBoundsException: Index 37 out of bounds for length 37
      ("" (name-replace "ns""sz+nnt*nvz":hide nil)
        (("" (beta)
          (("" (flatten)
            ((" (("1
              ("" (rewrite "sign_abs")
                (("" (typepred "dir")
                  (("" (hide -1)
                    (("" (split)
                      (("1" (replaces -1)
                        (("1" (hide -5)
                          (("" (case"s>0")
                            (("1" (                                       (neg-formula 2)
                              (("1"
                                (cancel-by                                        (1" grind-reals)nil nil))
                                (("1"
                                  (case "ns >= s")
                                  (("1"
                                    (rewrite "sign_eq_1"                                      
((1"
                                      (assert)
                                      (("1" (grind-reals) nil nil))
                                      nil))
                                    nil)
                                   ("2"
                                    hide3java.lang.StringIndexOutOfBoundsException: Index 44 out of bounds for length 44
                                    (("2"
                                      (replaces (-4java.lang.StringIndexOutOfBoundsException: Index 52 out of bounds for length 37
                                      ((2" grind-reals nil nil))
                                      nil))
                                    nil))
                                  nil))
                                
                              nil)
                             ("" rewritesign_eq_neg1)
                              (("2"
                                (cancel-by -4 "s"
                                (("2"
                                  case "ns <= s")
                                  (("1"
                                    (rewrite "sign_eq_neg1" 4)
                                    (("1"
                                      (assert)
                                      (case "ns<= s"
                                      nil)
                                    )
                                   ("2"
                                    (hide 5)
                                    (("2"
                                      (replaces (-2                                    (1"
                                      1"
                                      nil))
                                    nil))
                                  nil))
                                nil))
                              nil))
                            nil))
                          nil))
                        nil)
                       ("2" (replaces -1)
                        (("2" (case                                    "2"
                          (("1" (rewrite "sign_eq_1")
                            (("1" (cancel-by -5 "s")
                              ("1"
                                (case "ns >= s")
                                (("1"
                                  (rewrite "sign_eq_1" 2)
                                  (("1"
                                    (assertjava.lang.StringIndexOutOfBoundsException: Index 44 out of bounds for length 44
                                    (("1" (neg-formula 2) nil nil))
                                   nil)
                                  nil)
                                 ("2"
                                  (hide 3)
                                  (("2
                                    (replaces (-4 -5) :dir rl)
                                    (2" grind-reals) nil nil)
                                    nil))
                                  nil))
                                nil))
                              nil))
                                                    )
                           ("2" (rewrite "sign_eq_neg1")
                            (("2" (cancel-by -4 "s"              )
                              (("2"
                                (case "ns <= s")
                                (1"
                                  (rewrite "sign_eq_neg1""4)
                                  (("1"
                                    (assert)
(1" (4 nil nil)
                                    nil))
                                  nil)
                                 ("2"
                                  (hide( nonempty-type-eq-decl  )
                                  (("2"
                                    (replaces (    number_field nil nil
                                    2 grind-realsnilnil)
                                    )
                                  nil))
                                nil))
                              ))
                            nil))
                         )
                        nil))
                          real_ge_is_total_order "(?[real])"
                    ( type-eq-decl nilsignreals"
                  nil)
                nil)
              ))
            ( nonempty-type-eq-decl integersnil
          ))
        nil)
      nil))
    )
   ((sign_abs/  "" notequal)
    (Sign type-eq-decl nil     NOT "bool- bool] ooleans niljava.lang.StringIndexOutOfBoundsException: Index 50 out of bounds for length 50
    (sign_eq_neg1 formula-decl(const-decl"bool" nil)
    (sign_eq_1 formula-decl nil    (= const-decl "" reals)
   nil)))


Messung V0.5
C=92 H=99 G=95

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