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Quellcode-Bibliothek

© Kompilation durch diese Firma

[Weder Korrektheit noch Funktionsfähigkeit der Software werden zugesichert.]

Datei: NS_Public_Bad.thy   Sprache: Lisp

Original von: PVS©

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   ((boolean nonempty-type-decl nil booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (real nonempty-type-from-decl nil reals nil)
    (Interval type-eq-decl nil interval nil)
    (list type-decl nil list_adt nil) (Box type-eq-decl nil box nil)
    (ProperBox? const-decl "bool" box nil)
    (ProperBox type-eq-decl nil box nil)
    (OR const-decl "[bool, bool -> bool]" booleans nil)
    (IntervalExpr type-decl nil IntervalExpr_adt nil)
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    (bnot? adt-recognizer-decl "[IntervalExpr -> boolean]"
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    (band? adt-recognizer-decl "[IntervalExpr -> boolean]"
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    (bor? adt-recognizer-decl "[IntervalExpr -> boolean]"
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    (bimplies? adt-recognizer-decl "[IntervalExpr -> boolean]"
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    (brel? adt-recognizer-decl "[IntervalExpr -> boolean]"
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    (bincludes? adt-recognizer-decl "[IntervalExpr -> boolean]"
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    (bite? adt-recognizer-decl "[IntervalExpr -> boolean]"
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    (bletin? adt-recognizer-decl "[IntervalExpr -> boolean]"
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    (BoolExpr type-eq-decl nil IntervalExpr_adt nil)
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    (midpoint const-decl "real" interval nil)
    ([\|\|] const-decl "Interval" interval nil)
    (Midbox const-decl "listn[Interval](length(box))" box nil)
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    (val adt-accessor-decl "[(some?) -> T]" Maybe "structures/")
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    (<= const-decl "bool" reals nil)
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     integers nil)
    (real_le_is_total_order name-judgement "(total_order?[real])"
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    (le_realorder name-judgement "RealOrder" real_orders "reals/")
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    (gt_realorder name-judgement "RealOrder" real_orders "reals/")
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    (int_minus_int_is_int application-judgement "int" integers nil)
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    (number nonempty-type-decl nil numbers nil)
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    (>= const-decl "bool" reals nil)
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    (posnat nonempty-type-eq-decl nil integers nil)
    (< const-decl "bool" reals nil)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (below type-eq-decl nil naturalnumbers nil)
    (<= const-decl "bool" reals nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
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    (= const-decl "[T, T -> boolean]" equalities nil)
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    (+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
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    (list type-decl nil list_adt nil)
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    (Box type-eq-decl nil box nil)
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (le_realorder name-judgement "RealOrder" real_orders "reals/")
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (lt_realorder name-judgement "RealOrder" real_orders "reals/")
    (nnint_plus_posint_is_posint application-judgement "posint"
     integers nil)
    (real_gt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (gt_realorder name-judgement "RealOrder" real_orders "reals/")
    (real_minus_real_is_real application-judgement "real" reals nil)
    (size const-decl "real" interval nil))
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   ((boolean nonempty-type-decl nil booleans nil)
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    (NOT const-decl "[bool -> bool]" booleans nil)
    (number nonempty-type-decl nil numbers nil)
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    (integer_pred const-decl "[rational -> boolean]" integers nil)
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    (>= const-decl "bool" reals nil)
    (nonneg_int nonempty-type-eq-decl nil integers nil)
    (posnat nonempty-type-eq-decl nil integers nil)
    (< const-decl "bool" reals nil)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (below type-eq-decl nil naturalnumbers nil)
    (<= const-decl "bool" reals nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
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    (= const-decl "[T, T -> boolean]" equalities nil)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
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    (Box type-eq-decl nil box nil)
    (real_le_is_total_order name-judgement "(total_order?[real])"
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    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (lt_realorder name-judgement "RealOrder" real_orders "reals/")
    (nnint_plus_posint_is_posint application-judgement "posint"
     integers nil)
    (real_gt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (gt_realorder name-judgement "RealOrder" real_orders "reals/")
    (real_minus_real_is_real application-judgement "real" reals nil)
    (size const-decl "real" interval nil)
    (posint_plus_nnint_is_posint application-judgement "posint"
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    (posnat nonempty-type-eq-decl nil integers nil)
    (< const-decl "bool" reals nil)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (below type-eq-decl nil naturalnumbers nil)
    (<= const-decl "bool" reals nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
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     "(strict_total_order?[real])" real_props nil)
    (gt_realorder name-judgement "RealOrder" real_orders "reals/")
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    (posnat nonempty-type-eq-decl nil integers nil)
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    (below type-eq-decl nil naturalnumbers nil)
    (<= const-decl "bool" reals nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
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    (= const-decl "[T, T -> boolean]" equalities nil)
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    (+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
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    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
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     "(strict_total_order?[real])" real_props nil)
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    (nnint_plus_posint_is_posint application-judgement "posint"
     integers nil)
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     "(strict_total_order?[real])" real_props nil)
    (gt_realorder name-judgement "RealOrder" real_orders "reals/")
    (real_minus_real_is_real application-judgement "real" reals nil)
    (odd_minus_odd_is_even application-judgement "even_int" integers
     nil)
    (int_minus_int_is_int application-judgement "int" integers nil)
    (size const-decl "real" interval nil))
   nil))
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    (number_field_pred const-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)
    (> const-decl "bool" reals nil)
    (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 "bool" reals nil)
    (nonneg_int nonempty-type-eq-decl nil integers nil)
    (posnat nonempty-type-eq-decl nil integers nil)
    (< const-decl "bool" reals nil)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (below type-eq-decl nil naturalnumbers nil)
    (<= const-decl "bool" reals nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (subrange type-eq-decl nil integers nil)
    (= const-decl "[T, T -> boolean]" equalities nil)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (Interval type-eq-decl nil interval nil)
    (list type-decl nil list_adt nil)
    (length def-decl "nat" list_props nil)
    (Box type-eq-decl nil box nil)
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (le_realorder name-judgement "RealOrder" real_orders "reals/")
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (lt_realorder name-judgement "RealOrder" real_orders "reals/")
    (nnint_plus_posint_is_posint application-judgement "posint"
     integers nil)
    (real_gt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (gt_realorder name-judgement "RealOrder" real_orders "reals/")
    (real_minus_real_is_real application-judgement "real" reals nil)
    (size const-decl "real" interval nil))
   nil))
 (max_rec_TCC9 0
  (max_rec_TCC9-1 nil 3546365509 ("" (grind) nil nil)
   ((boolean nonempty-type-decl nil booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (number nonempty-type-decl nil numbers nil)
    (number_field_pred const-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)
    (> const-decl "bool" reals nil)
    (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 "bool" reals nil)
    (nonneg_int nonempty-type-eq-decl nil integers nil)
    (posnat nonempty-type-eq-decl nil integers nil)
    (< const-decl "bool" reals nil)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (below type-eq-decl nil naturalnumbers nil)
    (<= const-decl "bool" reals nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (subrange type-eq-decl nil integers nil)
    (= const-decl "[T, T -> boolean]" equalities nil)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (Interval type-eq-decl nil interval nil)
    (list type-decl nil list_adt nil)
    (length def-decl "nat" list_props nil)
    (Box type-eq-decl nil box nil)
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (le_realorder name-judgement "RealOrder" real_orders "reals/")
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (lt_realorder name-judgement "RealOrder" real_orders "reals/")
    (nnint_plus_posint_is_posint application-judgement "posint"
     integers nil)
    (real_gt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (gt_realorder name-judgement "RealOrder" real_orders "reals/")
    (real_minus_real_is_real application-judgement "real" reals nil)
    (size const-decl "real" interval nil)
    (posint_plus_nnint_is_posint application-judgement "posint"
     integers nil))
   nil))
 (max_rec_TCC10 0
  (max_rec_TCC10-1 nil 3546365509 ("" (grind) nil nil)
   ((boolean nonempty-type-decl nil booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (number nonempty-type-decl nil numbers nil)
    (number_field_pred const-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)
    (> const-decl "bool" reals nil)
    (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 "bool" reals nil)
    (nonneg_int nonempty-type-eq-decl nil integers nil)
    (posnat nonempty-type-eq-decl nil integers nil)
    (< const-decl "bool" reals nil)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (below type-eq-decl nil naturalnumbers nil)
    (<= const-decl "bool" reals nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (subrange type-eq-decl nil integers nil)
    (= const-decl "[T, T -> boolean]" equalities nil)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (Interval type-eq-decl nil interval nil)
    (list type-decl nil list_adt nil)
    (length def-decl "nat" list_props nil)
    (Box type-eq-decl nil box nil)
    (<< adt-def-decl "(strict_well_founded?[list])" list_adt nil)
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (le_realorder name-judgement "RealOrder" real_orders "reals/")
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (lt_realorder name-judgement "RealOrder" real_orders "reals/")
    (nnint_plus_posint_is_posint application-judgement "posint"
     integers nil)
    (real_gt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (gt_realorder name-judgement "RealOrder" real_orders "reals/")
    (real_minus_real_is_real application-judgement "real" reals nil)
    (size const-decl "real" interval nil))
   nil))
 (max_rec_TCC11 0
  (max_rec_TCC11-1 nil 3546365509 ("" (termination-tcc) nil nil)
   ((boolean nonempty-type-decl nil booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (number nonempty-type-decl nil numbers nil)
    (number_field_pred const-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)
    (> const-decl "bool" reals nil)
    (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 "bool" reals nil)
    (nonneg_int nonempty-type-eq-decl nil integers nil)
    (posnat nonempty-type-eq-decl nil integers nil)
    (< const-decl "bool" reals nil)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (below type-eq-decl nil naturalnumbers nil)
    (<= const-decl "bool" reals nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (subrange type-eq-decl nil integers nil)
    (= const-decl "[T, T -> boolean]" equalities nil)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (Interval type-eq-decl nil interval nil)
    (list type-decl nil list_adt nil)
    (length def-decl "nat" list_props nil)
    (Box type-eq-decl nil box nil)
    (gt_realorder name-judgement "RealOrder" real_orders "reals/")
    (real_gt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (nnint_plus_posint_is_posint application-judgement "posint"
     integers nil)
    (lt_realorder name-judgement "RealOrder" real_orders "reals/")
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (le_realorder name-judgement "RealOrder" real_orders "reals/")
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil))
   nil))
 (max_aux_TCC1 0
  (max_aux_TCC1-1 nil 3547134405 ("" (subtype-tcc) nil nil)
   ((boolean nonempty-type-decl nil booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (real nonempty-type-from-decl nil reals nil)
    (Interval type-eq-decl nil interval nil)
    (list type-decl nil list_adt nil) (Box type-eq-decl nil box nil)
    (ProperBox? const-decl "bool" box nil)
    (ProperBox type-eq-decl nil box nil)
    (real_gt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (gt_realorder name-judgement "RealOrder" real_orders "reals/")
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (le_realorder name-judgement "RealOrder" real_orders "reals/"))
   nil))
 (max_aux_TCC2 0
  (max_aux_TCC2-1 nil 3547134405
   ("" (skosimp*) (("" (typepred "box!1") (("" (grind) nil nil)) nil))
    nil)
   ((ProperBox type-eq-decl nil box nil)
    (ProperBox? const-decl "bool" box nil)
    (Box type-eq-decl nil box nil) (list type-decl nil list_adt nil)
    (Interval type-eq-decl nil interval nil)
    (real nonempty-type-from-decl nil reals nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (boolean nonempty-type-decl nil booleans nil)
    (every adt-def-decl "boolean" list_adt nil)
    (length def-decl "nat" list_props nil)
    (le_realorder name-judgement "RealOrder" real_orders "reals/")
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil))
   nil))
 (max_aux_TCC3 0
  (max_aux_TCC3-1 nil 3547134405 ("" (subtype-tcc) nil nil)
   ((boolean nonempty-type-decl nil booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (real nonempty-type-from-decl nil reals nil)
    (Interval type-eq-decl nil interval nil)
    (list type-decl nil list_adt nil) (Box type-eq-decl nil box nil)
    (ProperBox? const-decl "bool" box nil)
    (ProperBox type-eq-decl nil box nil)
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (lt_realorder name-judgement "RealOrder" real_orders "reals/")
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (le_realorder name-judgement "RealOrder" real_orders "reals/"))
   nil))
 (max_aux_TCC4 0
  (max_aux_TCC4-1 nil 3547134405
   ("" (skosimp*) (("" (typepred "box!1") (("" (grind) nil nil)) nil))
    nil)
   ((ProperBox type-eq-decl nil box nil)
    (ProperBox? const-decl "bool" box nil)
    (Box type-eq-decl nil box nil) (list type-decl nil list_adt nil)
    (Interval type-eq-decl nil interval nil)
    (real nonempty-type-from-decl nil reals nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (boolean nonempty-type-decl nil booleans nil)
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (le_realorder name-judgement "RealOrder" real_orders "reals/"))
   nil))
 (max_aux_TCC5 0
  (max_aux_TCC5-1 nil 3547134405
   ("" (skeep*)
    (("" (case-replace "box=null")
      (("1" (grind) nil nil) ("2" (grind) nil nil)) nil))
    nil)
   ((real nonempty-type-from-decl nil reals nil)
    (Interval type-eq-decl nil interval nil)
    (list type-decl nil list_adt nil) (Box type-eq-decl nil box nil)
    (boolean nonempty-type-decl nil booleans nil)
    (= const-decl "[T, T -> boolean]" equalities nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (ProperBox? const-decl "bool" box nil)
    (ProperBox type-eq-decl nil box nil)
    (null? adt-recognizer-decl "[list -> boolean]" list_adt nil)
    (null adt-constructor-decl "(null?)" list_adt nil)
    (length def-decl "nat" list_props nil)
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (le_realorder name-judgement "RealOrder" real_orders "reals/")
    (posint_plus_nnint_is_posint application-judgement "posint"
     integers nil)
    (nnint_plus_posint_is_posint application-judgement "posint"
     integers nil))
   nil))
 (altvar_TCC1 0
  (altvar_TCC1-1 nil 3547136696
   ("" (skeep :preds? t) (("" (grind) nil nil)) nil)
   ((ProperBox? const-decl "bool" box nil)
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (le_realorder name-judgement "RealOrder" real_orders "reals/"))
   nil))
 (altvar_TCC2 0
  (altvar_TCC2-1 nil 3547136696
   ("" (skeep :preds? t)
    (("" (lemma "mod_pos")
      (("" (inst?) (("1" (grind) nil nil) ("2" (assertnil nil)) nil))
      nil))
    nil)
   ((mod_pos formula-decl nil mod nil)
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (le_realorder name-judgement "RealOrder" real_orders "reals/")
    (posnat nonempty-type-eq-decl nil integers nil)
    (nonneg_int nonempty-type-eq-decl nil integers nil)
    (DirVarStack type-eq-decl nil branch_and_bound "structures/")
    (= const-decl "[T, T -> boolean]" equalities nil)
    (stack type-eq-decl nil stack "structures/")
    (DirVar type-eq-decl nil branch_and_bound "structures/")
    (IntervalOutput type-eq-decl nil interval_bandb nil)
    (val adt-accessor-decl "[(some?) -> T]" Maybe "structures/")
    (NOT const-decl "[bool -> bool]" booleans nil)
    (some? adt-recognizer-decl "[Maybe -> boolean]" Maybe
     "structures/")
    (cons? adt-recognizer-decl "[list -> boolean]" list_adt nil)
    (IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (every adt-def-decl "boolean" list_adt nil)
    (PRED type-eq-decl nil defined_types nil)
    (Maybe type-decl nil Maybe "structures/")
    (BoolExpr type-eq-decl nil IntervalExpr_adt nil)
    (bletin? adt-recognizer-decl "[IntervalExpr -> boolean]"
     IntervalExpr_adt nil)
    (bite? adt-recognizer-decl "[IntervalExpr -> boolean]"
     IntervalExpr_adt nil)
    (bincludes? adt-recognizer-decl "[IntervalExpr -> boolean]"
     IntervalExpr_adt nil)
    (brel? adt-recognizer-decl "[IntervalExpr -> boolean]"
     IntervalExpr_adt nil)
    (bimplies? adt-recognizer-decl "[IntervalExpr -> boolean]"
     IntervalExpr_adt nil)
    (bor? adt-recognizer-decl "[IntervalExpr -> boolean]"
     IntervalExpr_adt nil)
    (band? adt-recognizer-decl "[IntervalExpr -> boolean]"
     IntervalExpr_adt nil)
    (bnot? adt-recognizer-decl "[IntervalExpr -> boolean]"
     IntervalExpr_adt nil)
    (bconst? adt-recognizer-decl "[IntervalExpr -> boolean]"
     IntervalExpr_adt nil)
    (OR const-decl "[bool, bool -> bool]" booleans nil)
    (IntervalExpr type-decl nil IntervalExpr_adt nil)
    (number nonempty-type-decl nil numbers nil)
    (boolean nonempty-type-decl nil booleans nil)
    (number_field_pred const-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" reals nil)
    (Interval type-eq-decl nil interval nil)
    (list type-decl nil list_adt nil)
    (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 "bool" reals nil)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (length def-decl "nat" list_props nil)
    (Box type-eq-decl nil box nil)
    (ProperBox? const-decl "bool" box nil)
    (ProperBox type-eq-decl nil box nil)
    (box skolem-const-decl "ProperBox" interval_bandb nil)
    (gt_realorder name-judgement "RealOrder" real_orders "reals/")
    (real_gt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil))
   nil))
 (interval_soundness 0
  (interval_soundness-3 nil 3577544019
   ("" (skeep)
    (("" (lemma "b_and_b_id_sound")
      (("" (expand "interval")
        (("" (inst?)
          (("" (assert)
            (("" (hide 2)
              (("" (split)
                (("1" (expand "accomodates?")
                  (("1" (skeep)
                    (("1" (expand "sound?")
                      (("1" (flatten)
                        (("1"
                          (name-replace "ev" "evaluate(dom, obj)"
                           :hide? nil)
                          (("1" (copy -1)
                            (("1" (expand "evaluate" -1 :assert? none)
                              (("1"
                                (skoletin* -1)
                                (("1"
                                  (decompose-equality -1)
                                  (("1"
                                    (lemma "BEval_inclusion_Proper")
                                    (("1"
                                      (case "some?(bet)")
                                      (("1"
                                        (assert)
                                        (("1"
                                          (replaces -5)
                                          (("1"
                                            (inst? -)
                                            (("1"
                                              (assert)
                                              (("1"
                                                (flatten)
                                                (("1"
                                                  (typepred
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