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Datei: holder_scaf.pvs Sprache: Lisp

Original von: PVS^©

(event_sequences
(increasing_ind 0
  (increasing_ind-1 nil 3381416761
   ("" (induct "j")
    (("1" (assert)
      (("1" (skosimp*)
        (("1" (typepred "es!1")
          (("1" (expand "increasing?") (("1" (inst?) nil nil)) nil))
          nil))
        nil))
      nil)
     ("2" (skosimp*)
      (("2" (inst?)
        (("2" (typepred "es!1")
          (("2" (expand "increasing?")
            (("2" (inst - "i!1 + 1 + j!1") (("2" (assert) nil nil))
              nil))
            nil))
          nil))
        nil))
      nil))
    nil)
   ((real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (nnint_plus_posint_is_posint application-judgement "posint"
     integers nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (nat_induction formula-decl nil naturalnumbers nil)
    (+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (< const-decl "bool" reals nil)
    (event_sequence type-eq-decl nil event_sequences nil)
    (unbounded? const-decl "bool" event_sequences nil)
    (increasing? const-decl "bool" event_sequences nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (pred type-eq-decl nil defined_types nil)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (>= const-decl "bool" reals nil)
    (bool nonempty-type-eq-decl nil booleans 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)
    (real nonempty-type-from-decl nil reals nil)
    (real_pred const-decl "[number_field -> boolean]" reals nil)
    (number_field nonempty-type-from-decl nil number_fields nil)
    (number_field_pred const-decl "[number -> boolean]" number_fields
     nil)
    (boolean nonempty-type-decl nil booleans nil)
    (number nonempty-type-decl nil numbers nil)
    (posint_plus_nnint_is_posint application-judgement "posint"
     integers nil))
   shostak))
(nondecreasing 0
  (nondecreasing-1 nil 3399998653
   ("" (skosimp*)
    (("" (lemma "increasing_ind")
      (("" (inst - _ "i!1" "j!1 - i!1 - 1")
        (("1" (inst?) (("1" (assert) nil nil)) nil)
         ("2" (assert) nil nil))
        nil))
      nil))
    nil)
   ((increasing_ind formula-decl nil event_sequences nil)
    (nnint_plus_posint_is_posint application-judgement "posint"
     integers nil)
    (event_sequence type-eq-decl nil event_sequences nil)
    (unbounded? const-decl "bool" event_sequences nil)
    (increasing? const-decl "bool" event_sequences nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (int_plus_int_is_int application-judgement "int" integers nil)
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props 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)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (- const-decl "[numfield, numfield -> numfield]" number_fields 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)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (i!1 skolem-const-decl "nat" event_sequences nil)
    (j!1 skolem-const-decl "nat" event_sequences nil)
    (int_minus_int_is_int application-judgement "int" integers nil)
    (real_ge_is_total_order name-judgement "(total_order?[real])"
     real_props nil))
   shostak))
(future_events_nonempty 0
  (future_events_nonempty-2 nil 3399291236
   ("" (skosimp*)
    (("" (auto-rewrite-defs)
      (("" (typepred "es!1")
        (("" (assert)
          (("" (inst -2 "t!1")
            (("" (skosimp*)
              (("" (inst -3 "k!1")
                (("" (inst?) (("" (assert) nil nil)) nil)) nil))
              nil))
            nil))
          nil))
        nil))
      nil))
    nil)
   ((future_events const-decl "boolean" event_sequences nil)
    (member const-decl "bool" sets nil)
    (empty? const-decl "bool" sets nil)
    (nonempty? const-decl "bool" sets nil)
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (posint_plus_nnint_is_posint application-judgement "posint"
     integers 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)
    (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)
    (increasing? const-decl "bool" event_sequences nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (unbounded? const-decl "bool" event_sequences nil)
    (event_sequence type-eq-decl nil event_sequences nil))
   nil)
  (future_events_nonempty-1 nil 3399291132 ("" (judgement-tcc) nil nil)
   nil nil))
(index_le 0
  (index_le-1 nil 3381390698
   ("" (skosimp*)
    (("" (expand "index_of")
      (("" (invoke (name-replace "m" "%1") (! 1 l 1))
        (("" (case-replace "m = 0")
          (("" (typepred "m")
            (("" (inst - "m - 1")
              (("1" (expand "future_events") (("1" (assert) nil nil))
                nil)
               ("2" (assert) nil nil))
              nil))
            nil))
          nil))
        nil))
      nil))
    nil)
   ((index_of const-decl "nat" event_sequences nil)
    (real_ge_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (int_minus_int_is_int application-judgement "int" integers nil)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (- const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (es!1 skolem-const-decl "event_sequence" event_sequences nil)
    (t!1 skolem-const-decl "real" event_sequences nil)
    (m skolem-const-decl "{a |
         future_events(es!1)(t!1)(a) AND
          (FORALL (x: nat): future_events(es!1)(t!1)(x) IMPLIES a <= x)}"
     event_sequences nil)
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (posint_plus_nnint_is_posint application-judgement "posint"
     integers nil)
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (future_events_nonempty application-judgement "(nonempty?[nat])"
     event_sequences 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)
    (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)
    (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)
    (bool nonempty-type-eq-decl nil booleans nil)
    (>= const-decl "bool" reals nil)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (set type-eq-decl nil sets nil)
    (nonempty? const-decl "bool" sets nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
    (<= const-decl "bool" reals nil)
    (min const-decl "{a | S(a) AND (FORALL x: S(x) IMPLIES a <= x)}"
         min_nat nil)
    (increasing? const-decl "bool" event_sequences nil)
    (unbounded? const-decl "bool" event_sequences nil)
    (event_sequence type-eq-decl nil event_sequences nil)
    (future_events const-decl "boolean" event_sequences nil))
   shostak))
(lt_index 0
  (lt_index-2 "" 3399290589
   ("" (skosimp*)
    (("" (expand* "index_of" "future_events") (("" (assert) nil nil))
      nil))
    nil)
   ((future_events const-decl "boolean" event_sequences nil)
    (index_of const-decl "nat" event_sequences nil)
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (posint_plus_nnint_is_posint application-judgement "posint"
     integers nil))
   shostak)
  (lt_index-1 nil 3399290293
   ("" (skosimp*)
    (("" (invoke (name "K" "%1") (! 1 r 1 1))
      (("" (replace*)
        (("" (use "index_of_char") (("" (assert) nil nil)) nil)) nil))
      nil))
    nil)
   nil nil))
(index_le_alt 0
  (index_le_alt-1 nil 3399307062
   ("" (skosimp*)
    (("" (expand "index_of")
      (("" (invoke (name-replace "m" "%1") (! 1 l 1))
        (("" (typepred "m")
          (("" (inst - "m - 1")
            (("1" (expand "future_events") (("1" (assert) nil nil))
              nil)
             ("2" (assert) nil nil))
            nil))
          nil))
        nil))
      nil))
    nil)
   ((index_of const-decl "nat" event_sequences nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (posint_plus_nnint_is_posint application-judgement "posint"
     integers nil)
    (real_gt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (m skolem-const-decl "{a |
         future_events(es!1)(t!1)(a) AND
          (FORALL (x: nat): future_events(es!1)(t!1)(x) IMPLIES a <= x)}"
     event_sequences nil)
    (t!1 skolem-const-decl "real" event_sequences nil)
    (es!1 skolem-const-decl "event_sequence" event_sequences nil)
    (- const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (int_minus_int_is_int application-judgement "int" integers nil)
    (real_ge_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (future_events_nonempty application-judgement "(nonempty?[nat])"
     event_sequences 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)
    (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)
    (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)
    (bool nonempty-type-eq-decl nil booleans nil)
    (>= const-decl "bool" reals nil)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (set type-eq-decl nil sets nil)
    (nonempty? const-decl "bool" sets nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
    (<= const-decl "bool" reals nil)
    (min const-decl "{a | S(a) AND (FORALL x: S(x) IMPLIES a <= x)}"
         min_nat nil)
    (increasing? const-decl "bool" event_sequences nil)
    (unbounded? const-decl "bool" event_sequences nil)
    (event_sequence type-eq-decl nil event_sequences nil)
    (future_events const-decl "boolean" event_sequences nil))
   nil))
(index_rewrite 0
  (index_rewrite-1 nil 3399377491
   ("" (skosimp*)
    (("" (expand "index_of")
      (("" (rewrite "min_def")
        (("" (expand "minimum?")
          (("" (prop)
            (("1" (expand "future_events")
              (("1" (typepred "es!1")
                (("1" (expand "increasing?") (("1" (inst?) nil nil))
                  nil))
                nil))
              nil)
             ("2" (skosimp*)
              (("2" (expand "future_events")
                (("2" (lemma "nondecreasing")
                  (("2" (inst - "es!1" "x!1 + 1" "i!1")
                    (("2" (assert) nil nil)) nil))
                  nil))
                nil))
              nil))
            nil))
          nil))
        nil))
      nil))
    nil)
   ((index_of const-decl "nat" event_sequences nil)
    (minimum? const-decl "bool" min_nat nil)
    (nondecreasing formula-decl nil event_sequences nil)
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (posint_plus_nnint_is_posint application-judgement "posint"
     integers nil)
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (nnint_plus_posint_is_posint application-judgement "posint"
     integers nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (>= const-decl "bool" reals nil)
    (bool nonempty-type-eq-decl nil booleans 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)
    (real nonempty-type-from-decl nil reals nil)
    (real_pred const-decl "[number_field -> boolean]" reals nil)
    (number_field nonempty-type-from-decl nil number_fields nil)
    (number_field_pred const-decl "[number -> boolean]" number_fields
     nil)
    (boolean nonempty-type-decl nil booleans nil)
    (number nonempty-type-decl nil numbers nil)
    (future_events const-decl "boolean" event_sequences nil)
    (event_sequence type-eq-decl nil event_sequences nil)
    (unbounded? const-decl "bool" event_sequences nil)
    (increasing? const-decl "bool" event_sequences nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (nonempty? const-decl "bool" sets nil)
    (set type-eq-decl nil sets nil)
    (min_def formula-decl nil min_nat nil)
    (future_events_nonempty application-judgement "(nonempty?[nat])"
     event_sequences nil))
   shostak))
(index_conversion_left 0
  (index_conversion_left-1 nil 3399998729
   ("" (skosimp*)
    (("" (use "index_le_alt")
      (("" (assert)
        (("" (lemma "nondecreasing")
          (("" (inst - "es!1" "1 + k!1" "index_of(es!1)(t!1)")
            (("" (assert) nil nil)) nil))
          nil))
        nil))
      nil))
    nil)
   ((index_le_alt formula-decl nil event_sequences nil)
    (event_sequence type-eq-decl nil event_sequences nil)
    (unbounded? const-decl "bool" event_sequences nil)
    (increasing? const-decl "bool" event_sequences nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (>= const-decl "bool" reals nil)
    (bool nonempty-type-eq-decl nil booleans 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)
    (real nonempty-type-from-decl nil reals nil)
    (real_pred const-decl "[number_field -> boolean]" reals nil)
    (number_field nonempty-type-from-decl nil number_fields nil)
    (number_field_pred const-decl "[number -> boolean]" number_fields
     nil)
    (boolean nonempty-type-decl nil booleans nil)
    (number nonempty-type-decl nil numbers nil)
    (nondecreasing formula-decl nil event_sequences nil)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (index_of const-decl "nat" event_sequences nil)
    (posint_plus_nnint_is_posint application-judgement "posint"
     integers nil)
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (nnint_plus_posint_is_posint application-judgement "posint"
     integers nil)
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (real_gt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil))
   shostak))
(index_conversion_right 0
  (index_conversion_right-1 nil 3399998767
   ("" (skosimp*)
    (("" (use "lt_index")
      (("" (lemma "nondecreasing")
        (("" (inst - "es!1" "index_of(es!1)(t!1) + 1" "k!1")
          (("" (assert) nil nil)) nil))
        nil))
      nil))
    nil)
   ((lt_index formula-decl nil event_sequences nil)
    (event_sequence type-eq-decl nil event_sequences nil)
    (unbounded? const-decl "bool" event_sequences nil)
    (increasing? const-decl "bool" event_sequences nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (>= const-decl "bool" reals nil)
    (bool nonempty-type-eq-decl nil booleans 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)
    (real nonempty-type-from-decl nil reals nil)
    (real_pred const-decl "[number_field -> boolean]" reals nil)
    (number_field nonempty-type-from-decl nil number_fields nil)
    (number_field_pred const-decl "[number -> boolean]" number_fields
     nil)
    (boolean nonempty-type-decl nil booleans nil)
    (number nonempty-type-decl nil numbers nil)
    (int_minus_int_is_int application-judgement "int" integers nil)
    (real_minus_real_is_real application-judgement "real" reals nil)
    (odd_minus_odd_is_even application-judgement "even_int" integers
     nil)
    (nnint_plus_posint_is_posint application-judgement "posint"
     integers nil)
    (index_of const-decl "nat" event_sequences nil)
    (+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (nondecreasing formula-decl nil event_sequences nil))
   shostak))
(index_ordered 0
  (index_ordered-2 "" 3399305759
   ("" (skosimp*)
    (("" (rewrite "index_conversion_right")
      (("" (inst?)
        (("" (lemma "index_le_alt")
          (("" (inst - "es2!1" _)
            (("" (inst?) (("" (assert) nil nil)) nil)) nil))
          nil))
        nil))
      nil))
    nil)
   ((index_conversion_right formula-decl nil event_sequences 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)
    (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)
    (bool nonempty-type-eq-decl nil booleans nil)
    (>= const-decl "bool" reals nil)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (increasing? const-decl "bool" event_sequences nil)
    (unbounded? const-decl "bool" event_sequences nil)
    (event_sequence type-eq-decl nil event_sequences nil)
    (index_of const-decl "nat" event_sequences nil)
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (index_le_alt formula-decl nil event_sequences nil)
    (real_gt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil))
   shostak)
  (index_ordered-1 nil 3398707979
   ("" (skosimp*)
    (("" (invoke (name "K1" "%1") (! 1 r))
      (("" (invoke (name "K2" "%1") (! 1 l))
        (("" (replace*)
          (("" (rewrite "index_of_char")
            (("" (rewrite "index_of_char")
              (("" (assert)
                (("" (flatten)
                  (("" (case "t!1 < es1!1(1 + K1)")
                    (("1" (hide -4)
                      (("1" (inst - "K1 + 1")
                        (("1" (case "K2 = K1 + 1")
                          (("1" (assert) nil nil)
                           ("2" (lemma "increasing_ind")
                            (("2"
                              (inst - "es2!1" "K1 + 1" "K2 - K1 - 2")
                              (("1" (assert) nil nil)
                               ("2" (assert) nil nil))
                              nil))
                            nil))
                          nil))
                        nil))
                      nil)
                     ("2" (assert) nil nil))
                    nil))
                  nil))
                nil))
              nil))
            nil))
          nil))
        nil))
      nil))
    nil)
   nil shostak))
(cross_nondecreasing 0
  (cross_nondecreasing-1 nil 3400000731
   ("" (skosimp*)
    (("" (expand "nonoverlap?")
      (("" (inst?)
        (("" (lemma "nondecreasing")
          (("" (inst - "es2!1" "j!1 + 1" "k!1") (("" (assert) nil nil))
            nil))
          nil))
        nil))
      nil))
    nil)
   ((nonoverlap? const-decl "bool" event_sequences nil)
    (nondecreasing formula-decl nil event_sequences nil)
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (posint_plus_nnint_is_posint application-judgement "posint"
     integers nil)
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (event_sequence type-eq-decl nil event_sequences nil)
    (unbounded? const-decl "bool" event_sequences nil)
    (increasing? const-decl "bool" event_sequences nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (nnint_plus_posint_is_posint application-judgement "posint"
     integers nil)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (>= const-decl "bool" reals nil)
    (bool nonempty-type-eq-decl nil booleans 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)
    (real nonempty-type-from-decl nil reals nil)
    (real_pred const-decl "[number_field -> boolean]" reals nil)
    (number_field nonempty-type-from-decl nil number_fields nil)
    (number_field_pred const-decl "[number -> boolean]" number_fields
     nil)
    (boolean nonempty-type-decl nil booleans nil)
    (number nonempty-type-decl nil numbers nil)
    (int_minus_int_is_int application-judgement "int" integers nil))
   nil))
(nonoverlap_index_bound 0
  (nonoverlap_index_bound-1 nil 3294156560
   ("" (skosimp*)
    (("" (rewrite "index_conversion_left")
      (("" (use "lt_index")
        (("" (expand "nonoverlap?")
          (("" (inst?) (("" (assert) nil nil)) nil)) nil))
        nil))
      nil))
    nil)
   ((nnint_plus_posint_is_posint application-judgement "posint"
     integers nil)
    (index_conversion_left formula-decl nil event_sequences 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)
    (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)
    (bool nonempty-type-eq-decl nil booleans nil)
    (>= const-decl "bool" reals nil)
    (nat nonempty-type-eq-decl nil naturalnumbers nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (increasing? const-decl "bool" event_sequences nil)
    (unbounded? const-decl "bool" event_sequences nil)
    (event_sequence type-eq-decl nil event_sequences nil)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (index_of const-decl "nat" event_sequences nil)
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (posint_plus_nnint_is_posint application-judgement "posint"
     integers nil)
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (nonoverlap? const-decl "bool" event_sequences nil)
    (odd_minus_odd_is_even application-judgement "even_int" integers
     nil)
    (even_minus_odd_is_odd application-judgement "odd_int" integers
     nil)
    (real_minus_real_is_real application-judgement "real" reals nil)
    (int_minus_int_is_int application-judgement "int" integers nil)
    (lt_index formula-decl nil event_sequences nil))
   shostak)))

¤ Dauer der Verarbeitung: 0.31 Sekunden (vorverarbeitet) ¤

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