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" (assert) nil nil)) nil)) nil)
                 ("2" (skeep 2)
                  (("2" (inst? 1)
                    (("1" (assert) nil nil) ("2" (assert) nil 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-decl"( ?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
                                                   &bsp;    (("" (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))
               &nbsbsp;                            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
&nb                                 ((""
                          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))
                              &n)
                                  (("1"
                                    (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>=0")
                          (("1" (rewrite "sign_eq_1")
                            (("1" (cancel-by -5 "s")
                              (("1"
                                (case "ns >= s")
                                (("1"
                                  (rewrite "sign_eq_1" 2)
                                  (("1"
                                    (assert)
                                    (("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))
                            nil)
                           ("2" (rewrite "sign_eq_neg1")
                            (("2" (cancel-by -4 "s")
                              (("2"
                                (case "ns <= s")
                                (("1"
                                  (rewrite "sign_eq_neg1" 4)
                                  (("1"
                                    (assert)
                                    (("1" (neg-formula 4) 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))
                    nil))
                  nil))
                nil))
              nil))
            nil))
          nil))
        nil))
      nil))
    nil)
   ((sign_abs formula-decl nil sign "reals/")
    (Sign type-eq-decl nil sign "reals/")
    (sign_eq_neg1 formula-decl nil sign "reals/")
    (sign_eq_1 formula-decl nil sign "reals/"))
   nil)))