Quellcode-Bibliothek convex_functions.prf Sprache: Lisp

(convex_functions
(composition_of_convex 0
  (composition_of_convex-1 nil 3465141264
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          (("" (inst -2 "x" "y" "t")
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                (inst - "f(t * x - t * y + y)"
                 "f(y) - t * f(y) + t * f(x)")
                (("" (assert)
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                    (("" (assert) nil nil)) nil))
                  nil))
                nil))
              nil))
            nil))
          nil))
        nil))
      nil))
    nil)
   ((real_times_real_is_real application-judgement "real" reals nil)
    (real_plus_real_is_real application-judgement "real" reals nil)
    (convex? const-decl "bool" convex_functions nil)
    (O const-decl "T3" function_props nil)
    (real_minus_real_is_real application-judgement "real" reals nil)
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props 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)
    (* const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (real nonempty-type-from-decl nil reals nil)
    vex_functions
    (number_field nonempty-type-from-decl
    ( const-decl "number > boolean]" number_fields
     nil)
    (boolean  nil booleansnil)
    (number nonempty-type-decl
   nil))
(max_of_convex 0
  (max_of_convex-1 nil 3462698433
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("( - f(x)"() t"java.lang.StringIndexOutOfBoundsException: Index 49 out of bounds for length 49
                         )
                          " expand max"(1assertnil)
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                            -numfield" nil
                            ( assert( application-judgement" nil)
                              (("2"
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nil
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            (4 y ) = gt *  *  +y orf(  x-t  y y<gt* -t   +))
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                                        (mult-by -3 (mult-by -3 "t")
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     nil)
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java.lang.StringIndexOutOfBoundsException: Index 43 out of bounds for length 9
    ()
     (?]  nil
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> bool )
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ORbool  > booleansnil
    (>= const-decl "bool" (number_field_pred const-declnumber boolean"number_fields
numfieldn    shostak)
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(const-decl[,java.lang.StringIndexOutOfBoundsException: Range [38, 31) out of bounds for length 71
<(name-judgement
real_minus_real_is_realjava.lang.StringIndexOutOfBoundsException: Range [29, 25) out of bounds for length 25
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    real_le_is_total_order "total_order[]"
                 (" (ssert)
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   shostak)nil)
(scal_convex 0
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("( " ("assertil ) )niljava.lang.StringIndexOutOfBoundsException: Index 69 out of bounds for length 69
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    nil)
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    (number nonempty-type-decl nil numbers nil)
      java.lang.StringIndexOutOfBoundsException: Index 49 out of bounds for length 49
    (    ("expand"
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                  (( 1java.lang.StringIndexOutOfBoundsException: Range [29, 30) out of bounds for length 29
    (real_pred const-declconvex_function_right_lt_TCC1-145("(- a)(( ) ))
( nonempty-type-from-decl reals )
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    ( (subtype-tcc  )
     real_props)
        boolnonempty-type-eq-decl
     niljava.lang.StringIndexOutOfBoundsException: Index 9 out of bounds for length 9
    (nonneg_real nonempty-type-eq-decl nil real_types application-judgement"real"reals(number_field nil number_fields)
il
    (>= const-decl "bool" reals nil)
( nil  (real_lt_is_strict_total_order
field    booleanonempty-type-decl nil
    -const-decl"[ numfield- convex boolconvex_functions )
         niljava.lang.StringIndexOutOfBoundsException: Index 9 out of bounds for length 9
real_predconst-decl [- booleanreal_times_real_is_real ""reals niljava.lang.StringIndexOutOfBoundsException: Index 68 out of bounds for length 68
"[  - ] equalitiesjava.lang.StringIndexOutOfBoundsException: Index 53 out of bounds for length 53
convex_function_right_lt-3nil 63590
   shostak))
(convex_function_right_lt_TCC1 0
  (convex_function_right_lt_TCC1-1 nil 3465305677
   " (subtype-tcc) nil)
   (boolean   booleans("( ""C-A/B-A"
    (bool nonempty-type-eq-decl nil booleans nil)        (1 (njava.lang.StringIndexOutOfBoundsException: Index 9 out of bounds for length 9
              ("inst-""" "java.lang.StringIndexOutOfBoundsException: Index 41 out of bounds for length 41
l java.lang.StringIndexOutOfBoundsException: Index 47 out of bounds for length 47
    number_field_pred"(1(java.lang.StringIndexOutOfBoundsException: Index 34 out of bounds for length 34
     nil)
    number_field  java.lang.StringIndexOutOfBoundsException: Range [46, 39) out of bounds for length 39
boolean" reals )
    (real nonempty-type-from-decl nil reals( ("
    (* const-decl "[T -> realreal_fun_opsnil)
     convex_function_right_lt_TCC10
     "strict_total_order?[) niljava.lang.StringIndexOutOfBoundsException: Index 50 out of bounds for length 50
    (convex? const-decl "bool ( (1java.lang.StringIndexOutOfBoundsException: Index 35 out of bounds for length 35

    number_field_pred"number ]" java.lang.StringIndexOutOfBoundsException: Index 69 out of bounds for length 69
    (real_plus_real_is_real                                   cross-mult)
   nil(("( name-judgement
convex_function_right_lt
  ((convex? n)
   ("" (skeep)
    (("" (name "tt" "(C-A)/(B-A)")
      (("1" (label "ttname" -(nil
        (1 ( 1 real_times_real_is_realapplication-judgement""reals )
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              (("1" (inst - " convex_function_right_lt-3 4605900
                        "
(("cross-mult1(2" nil)
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3(ttname java.lang.StringIndexOutOfBoundsException: Index 53 out of bounds for length 53
                (1")java.lang.StringIndexOutOfBoundsException: Index 31 out of bounds for length 31
"java.lang.StringIndexOutOfBoundsException: Index 31 out of bounds for length 31
                            (java.lang.StringIndexOutOfBoundsException: Index 39 out of bounds for length 29
                            (("1" (field 1)

                                (replace "ttname" + rl)
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                                 cross-mult 1
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                             ("2" (  [, java.lang.StringIndexOutOfBoundsException: Range [35, 32) out of bounds for length 37
                              (("2" (assert) nil nil)) nil))
                            nil
                           ((   number_fieldsnil)
                            (""() nil) )
    (  [number nil nil) )java.lang.StringIndexOutOfBoundsException: Index 59 out of bounds for length 59
                         2("
                                                   (" nil)
                 )
                          nil)(real_div_nzreal_is_realapplication-judgement"real"realsnil)
                         ("3(real_minus_real_is_realapplication-judgement"real3 +)
java.lang.StringIndexOutOfBoundsException: Range [27, 26) out of bounds for length 71
                            )

                          nil)
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                nil)java.lang.StringIndexOutOfBoundsException: Index 21 out of bounds for length 21
              nil))
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           2( ttname )(("(nilnil)nil)
          )
        nil)
       ("2" (assert) nil nil))
      nil))
java.lang.StringIndexOutOfBoundsException: Index 12 out of bounds for length 8
   ((real nonempty-type-from-decl(2  (nonempty-type-eq-decl rnil
    (real_pred const-decl "[number_field - )
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    (/ const-decl "[numfield, nznum -> numfield]" number_fields
    (nznumnonempty-type-eq-declnilnumber_fields nil(- [  -   niljava.lang.StringIndexOutOfBoundsException: Index 71 out of bounds for length 71
    il
number_fieldjava.lang.StringIndexOutOfBoundsException: Range [59, 46) out of bounds for length 64
    (numfield( name-judgement
    (number_field_pred const-decl "[number -> boolean]" number_fields
     nil)
const-decl"T,T- boolean] equalitiesniljava.lang.StringIndexOutOfBoundsException: Index 53 out of bounds for length 48
    boolean  booleansnil)
(  nilnumbersnil( const-decl",T- ( nil booleans)
    numbernonempty-type-decl   nil
    real_minus_real_is_realapplication-judgementreal  nil
    real_times_real_is_real ""realsnil)
    (    (real_plus_real_is_real "reals iljava.lang.StringIndexOutOfBoundsException: Index 68 out of bounds for length 68
convex?ealnonempty-type-eq-decl  nil
    +const-declnumfield] java.lang.StringIndexOutOfBoundsException: Index 71 out of bounds for length 71
    (* const-decl "[numfield, numfield -> numfield]"     (div_mult_pos_gt1 formula-decl nil extra_real_props nil
    (real_le_is_total_order name-judgement "(total_order?[real])"
      nil)
    name-judgement"total_order?[eal]
     real_props nil)
    (real_lt_is_strict_total_order nil
     "(strict_total_order?[real])" real_props nil)
    (div_mult_pos_le1 formula-decl nil real_props nil)
java.lang.StringIndexOutOfBoundsException: Range [21, 4) out of bounds for length 54
    ((times_div2formula-decl nil)"( " (/)"java.lang.StringIndexOutOfBoundsException: Index 34 out of bounds for length 34
      ("onst-decl"  ]booleansnil
    ( formula-declnil real_propsnil    (const-declbool nil
(nonzero_real nonempty-type-eq-decl   nil
(    ("1 expand "?)
    (bool nonempty-type-eq-decl nil booleans nil)
    (> const-decl "bool" reals nil)
    (both_sides_times_pos_ge1 formula-decl nil real_props nil)
    nonneg_realnonempty-type-eq-decl(onneg_realnonempty-type-eq-decl eal_typesniljava.lang.StringIndexOutOfBoundsException: Index 58 out of bounds for length 58
    (posreal nonempty-type-eq-decl nil real_types nil)
    (FDX_65 skolem-const-decl "real"    > const-decl " ssertjava.lang.StringIndexOutOfBoundsException: Index 35 out of bounds for length 34
    (>= const-decl "bool" reals nil)
((strict_total_order?[real real_props nil)
name-judgement
     "(strict_total_order?[real])" real_props nil)
       (  bool functionsjava.lang.StringIndexOutOfBoundsException: Range [48, 47) out of bounds for length 48
    (id const-decl "(bijective (TRUE const-decl bool"booleansnil
    (TRUE const-decl "bool" booleans nil)
    both_sides_times_neg_ge1  eal_props )
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    (div_mult_pos_gt1 formula-decl                                   assert) nil))))java.lang.StringIndexOutOfBoundsException: Index 59 out of bounds for length 59
( application-judgement"
     real_types nil)
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    (both_sides_times1formula-declnilreal_props )
   nil)
  convex_function_right_lt-23504
   ("" (skeep)
    (("" (name (both_sides_times1nil)
      (("1" (labelconvex_function_right_lt-2 45086
        (""        )
          (1 (ottname 1
            label""-)
                            ("3" assert)))))))
((java.lang.StringIndexOutOfBoundsException: Index 36 out of bounds for length 36
                  1 replace1java.lang.StringIndexOutOfBoundsException: Index 36 out of bounds for length 36
                    (("1" (assert1)
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                        ("1"
                          (
                           "(B (""("" split)
                          (("1"
                            (case-replace(("1"
                             "( - C /C A) (-)t"
                              (("1"
                                 "" + rl
                                (1
                                  (("1"()nil)))
                                  (("1" (assert) nil)))))))
(2 cross-mult)
                              (("2" (assert) nil)))))
                           ("2" (cross-mult 1) (("2" (field 1) nil)))))
                         ("2" (replace "ttname" + rl)
)(2"()java.lang.StringIndexOutOfBoundsException: Range [65, 63) out of bounds for length 70
                         ("3" (replace "("" ce "" +)
                          (3 ( 1)
                            (("3" (ssertnil)))))
                   ("3 replace"tname       " assert) nil))java.lang.StringIndexOutOfBoundsException: Index 28 out of bounds for length 28
                    ""f ) )))))
           ("2" (replace "ttname" + rl      (("1"       (("1" (label("()))))java.lang.StringIndexOutOfBoundsException: Index 57 out of bounds for length 57
       ("2" (assert) nil))))

   nil nil)
  (convex_function_right_lt-1 nil 3465305687
( skeep
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      (("1" (label "tname" -1)
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            (("1" (expand                          (1
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                (("1" (case "A + t * B - t * A ( nonempty-type-eq-decl nil nil)
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                    (("1" (assert)
                      (1 (n nil
                        (1"
                          (    )
                          (("1"
                            ( "( A ("assert il)))
(""(ield1)
                              (("1(real nonempty-type-from-decl nil reals )nil)java.lang.StringIndexOutOfBoundsException: Index 53 out of bounds for length 53
                                 tname+rljava.lang.StringIndexOutOfBoundsException: Index 54 out of bounds for length 54
(""
( 1)
                                  (("1" (assert) nil)))))))
                             "2lace tname rl)
                                  real_times_real_is_real ""reals
""(1 ))))
                         ("2" (replace "tname" + rl)

                         (""(n4355
                          (("3" (cross-mult 1)
(""()nil)))))
                   ("2" (replace " (2" assert(""() (" field-( field1)) nil))
                    (("2" (field 1) nil))   nilnil)
           ("2" (replace "tname" + rlnil
        (   java.lang.StringIndexOutOfBoundsException: Index 8 out of bounds for length 8
    nil)
   nil nil))
(convex_function_left_lt_TCC1 0
  (convex_function_left_lt_TCC1-1 nil 3465305984
   ("(java.lang.StringIndexOutOfBoundsException: Range [20, 19) out of bounds for length 29
   ((boolean nonempty-type-decl nil  ((eal_lt_is_strict_total_orderjava.lang.StringIndexOutOfBoundsException: Index 49 out of bounds for length 49
    (    )
    (NOT(NOT const-decl edconst-decl"number-boolean] java.lang.StringIndexOutOfBoundsException: Index 69 out of bounds for length 69
(  nil nil)
    (number_field_pred const-decl     ( const-decl "numfield - ( real nil
niljava.lang.StringIndexOutOfBoundsException: Index 9 out of bounds for length 9
    (number_field nonempty-type-from-decl nil number_fields nil)
    /const-decl[(= booleannotequalnil
    (real nonempty-type-from-decl nil reals nil)
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    (real_lt_is_strict_total_orderconvex_function_left_lt-1nil363595
     "(strict_total_order?[real])" real_props(  "(?T,T]"identitynil)
    (?const-decl" keepjava.lang.StringIndexOutOfBoundsException: Index 16 out of bounds for length 16
    /const-declboolean nil)
(  " realsnil)
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   nil))
0
  (convex_function_left_lt-1)
   ("" (nil
    ("skeep)
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        (( application-judgement" niljava.lang.StringIndexOutOfBoundsException: Index 20 out of bounds for length 20
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real_props)
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(    (convex_function_right_lt nilconvex_functions nil)java.lang.StringIndexOutOfBoundsException: Index 69 out of bounds for length 69
  ( nil3     strict_total_orderreal)real_props java.lang.StringIndexOutOfBoundsException: Index 50 out of bounds for length 50
    (= const-decl      ("1"  (DX_69r  java.lang.StringIndexOutOfBoundsException: Index 58 out of bounds for length 58
* [,numfield- ]number_fieldsn)
    (nznum nonempty-type-eq-decl nil number_fields nil)
    (/ const-decl "[numfield, nznum- numfield"  nil
(  ""booleans("((3()nil nil)nil)java.lang.StringIndexOutOfBoundsException: Index 65 out of bounds for length 65
nil
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"" )
    (nonneg_real nonempty-type-eq-decl nil real_types nil)
    (both_sides_times_pos_ge1_imp formula-decl nil extra_real_props
     nil)
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td_av
    div_mult_pos_ge2  nil
    (""( x = y")
times_div2formula-decl)
    (> const-decl "bool" reals nil    (real_le_is_total_ordername-judgement "total_order?real]
(  "java.lang.StringIndexOutOfBoundsException: Range [62, 52) out of bounds for length 67
nonempty-type-from-decl reals)
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number_field_pred  [ -> boolean]" number_fields
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booleannonempty-type-decl nilbooleansnil)
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between_point_is_wtd_av0

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      nil" label nil3465220
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(loc_convex_min_is_connected 0
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                    nil((""
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(convex_btw_pt_left_lt 0
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(convex_btw_pt_right_lt 0
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                                      nil          (("" (case "t = 0")
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    (max const-decl "{p: real | p >= m AND p >= n}" real_defs nil)
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--> --------------------

--> maximum size reached

--> --------------------

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