vz_criteria.prf   Interaktion und
PortierbarkeitLisp

 (vertical_exit_independence 5 sjava.lang.StringIndexOutOfBoundsException: Index 50 out of bounds for length 50
  (vertical_exit_independence-1 nil 343170                                     "")
   ("" (skeep)
    (("" (expand "vertical_exit_criterion?")
      (("" (lemma "vertical_sep_dir")
        (("" (inst?)
          (("" (replaces -1)
            (("" (expand "vertical_conflict?")
              (("" (ground)
                (("1" (skeep -2)
                  (1 inst - (1" (assert) nilnil) nil) )
                 ("2" (skeep 2)
                  (("2" (inst? 1)
                    (1 assert)nil nil ""assert  nil)
                     nil))
                  nil))
                nil))
              nil))
            nil))
          nil))
        nil))
      nil))
    nil)
   ((real_times_real_is_real application-judgement "real" reals nil( 3
    ((""
    (rational_pred const-decl "[real -> boolean]" rationals nil)
    (ational nilrationals)
    (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 nil)
    (= const-decl "[T, T -> boolean]" equalities nil)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    -const-decl[ - "number_fields)
    (Sign type-eq-decl nil sign "reals/")
    (AND const-decl "[bool, bool -> bool]" booleans nil)
( const-declnnonneg_real| =mAND> m"real_defs
         nil)
    (Spz type-eq-decl nil vertical nil)
    (vertical_conflict? const-decl "bool" vertical nil)
    (t skolem-const-declnil)
    (nnreal_times_nnreal_is_nnreal application-judgement "nnreal"
     real_types              "2 rewritesign_eq_neg1)
    (                              ("2
      nil
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
                                2java.lang.StringIndexOutOfBoundsException: Index 37 out of bounds for length 37
    (real_plus_real_is_real application-judgement "real" reals nil)
    (vertical_sep_dir  nil vertical nil)
    (number nonempty-type-decl nil numbers nil)
    (boolean nonempty-type-decl nil booleans nil)
    (number_field_pred const-decl((""
     nil)
    (number_field nonempty-type-from-decl nil 
    (real_pred((1 grind-realsnil nil)
    (real nonempty-type-from-decl nil reals nil)
(boolnonempty-type-eq-declnilbooleans nil)
    (>= const-decl "bool" reals nil)
                                        )
    (> const-decl "("2"
    (posreal nonempty-type-eq-decl( 5)
    (H formal-const-decl "posreal" vz_criteria nil
   nil))
 (vertical_exit_coordination 0
  (vertical_exit_coordination-2 nil 3451903387
("()
    (("" (lemma "vertical_exit_independence")

        (("" (assert)
          (("" (hide                        )
(" ( "vertical_exit_criterion)
              (("" (assert) nil nil)) nil))
nil)
          nil))
        nil))
      nil))
    nil)
   (                              nil)
plication-judgement" )
    (real_minus_real_is_real application-judgement "real" reals nil)
    (neg_spz application-judgement "Spz" vz_criteria nil)
    (vertical_exit_criterion? const-decl "bool" vz_criteria nil)                          )java.lang.StringIndexOutOfBoundsException: Index 31 out of bounds for length 31
    (real_ge_is_total_order name-judgement                          ""( "sign_eq_1")
     real_props((1 (cancel-by-""
    (real_plus_real_is_real application-judgement "real" reals nil)
    (Spz type-eq-decl nil vertical nil)
    (formal-const-decl"" vz_criterianil)
    (posreal nonempty-type-eq-decl nil real_types nil)
    >const-decl "bool realsniljava.lang.StringIndexOutOfBoundsException: Index 35 out of bounds for length 35
    (abs const-decl "{n: nonneg_real | n((1
         nil)
                                        assertjava.lang.StringIndexOutOfBoundsException: Index 44 out of bounds for length 44
    (nil
    (AND const-decl "[(2
    (nonneg_real nonempty-type-eq-decl nil real_types nil)
    (>= const-decl "bool" reals nil)
    (bool                                   hide 3)
    (real nonempty-type-from-decl nil reals nil)
    (real_pred const-decl  (replaces - -): rl
    (number_field nonempty-type-from-decl nil number_fields nil)
    (number_field_pred const-decl "[ (("2 (grind-reals  nil)
     nil)
    (boolean nonempty-type-decl nil booleans nilnil)
    (number nonempty-type-decl  nil)
   nil)
  (vertical_exit_coordination-1 nil 34nil))
   ("" (skeep)
    ((                              )java.lang.StringIndexOutOfBoundsException: Index 35 out of bounds for length 35
      (" inst- spz voz-viz)
        (("" (assert)
          (("" (hide -1)
            (("" (expand (assert)
              ((" (1 neg-formula 4 )java.lang.StringIndexOutOfBoundsException: Index 67 out of bounds for length 67
            nil))
          nil))
        nil))
      nil)
    nil)
   ((Spz type-eq-decl nil vertical nil))                                    "grind-reals) )java.lang.StringIndexOutOfBoundsException: Index 65 out of bounds for length 65
 (vertical_sep_dir_at 0
  (vertical_sep_dir_at-2 "" 356529nil)
   ("" (skeep)
    (("" (name-replace "s" "sz+nnt*vz" :hide? nil)
      (("name-replace ns sz+ntnvz hide?niljava.lang.StringIndexOutOfBoundsException: Index 54 out of bounds for length 54
        (("" (beta)
          (" flattenjava.lang.StringIndexOutOfBoundsException: Index 24 out of bounds for length 24
            (("" (rewrite "sign_abs")
              (("" (rewrite "sign_abs")
                (("" (typepred "dir")
                  (("" (hide -1)
                    (("" (split)
                      (("1" (replaces -1)
                        (("1" nil)
                          )
                            ((" (sign_absformula-declnilsign "reals")
                             ""
                                sign_eq_neg1   "/")
                                 formula-decl  "eals/")
                                  
                                  (("1"
                                    (case "ns >= s")
                                    (("1"
                                      (rewrite "sign_eq_1" 2)
                                      (("1"
                                        (assert)
                                        (("1" (grind-reals) nil nil))
                                        nil))
                                      nil)
                                     ("2"
                                      (hide 3)
                                      (("2"
                                        (replaces (-4 -5) :dir rl)
                                        (("2" (grind-reals) nil nil))
                                        nil))
                                      nil))
                                    nil))
                                  nil))
                                nil))
                              nil)
                             ("2" (rewrite "sign_eq_neg1")
                              (("2"
                                (real-props :simple? t)
                                (("2"
                                  (cancel-by -4 "s")
                                  (("2"
                                    (case "ns <= s")
                                    (("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))
                        nil)
                       ("2" (replaces -1)
                        (("2" (case "s>=0")
                          (("1" (rewrite "sign_eq_1")
                            (("1" (real-props :simple? t)
                              (("1"
                                (cancel-by -5 "s")
                                (("1"
                                  (case "ns >= s")
                                  (("1"
                                    (rewrite "sign_eq_1" 2)
                                    (("1"
                                      (assert)
                                      (("1"
                                        (neg-formula 2)
                                        (("1" (grind-reals) nil nil))
                                        nil))
                                      nil))
                                    nil)
                                   ("2"
                                    (hide 3)
                                    (("2"
                                      (replaces (-4 -5) :dir rl)
                                      (("2" (grind-reals) nil nil))
                                      nil))
                                    nil))
                                  nil))
                                nil))
                              nil))
                            nil)
                           ("2" (rewrite "sign_eq_neg1")
                            (("2" (real-props :simple? t)
                              (("2"
                                (cancel-by -4 "s")
                                (("2"
                                  (case "ns <= s")
                                  (("1"
                                    (rewrite "sign_eq_neg1" 4)
                                    (("1"
                                      (assert)
                                      (("1"
                                        (neg-formula 4)
                                        (("1" (grind-reals) nil 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))
    nil)
   ((number nonempty-type-decl nil numbers nil)
    (boolean nonempty-type-decl nil booleans nil)
    (= const-decl "[T, T -> boolean]" equalities nil)
    (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 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)
    (* const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (>= 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)
    (Sign type-eq-decl nil sign "reals/")
    (- const-decl "[numfield -> numfield]" number_fields nil)
    (OR const-decl "[bool, bool -> bool]" booleans nil)
    (nzint nonempty-type-eq-decl nil integers nil)
    (int nonempty-type-eq-decl nil integers nil)
    (integer_pred const-decl "[rational -> boolean]" integers nil)
    (rational nonempty-type-from-decl nil rationals 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" reals nil)
    (nonpos_real nonempty-type-eq-decl nil real_types nil)
    (<= const-decl "bool" reals 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")
                              (("1"
                                (cancel-by -5 "s")
                                (("1"
                                  (case "ns >= s")
                                  (("1"
                                    (rewrite "sign_eq_1" 2)
                                    (("1"
                                      (assert)
                                      (("1" (grind-reals) 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" (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)))