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Quellcodebibliothek Statistik Leitseite products/Sources/formale Sprachen/PVS/reals/   (Beweissystem der NASA Version 6.0.9©)  Datei vom 28.9.2014 mit Größe 587 kB image not shown  

Quellcode-Bibliothek convex_functions.prf   Sprache: Lisp

 

java.lang.StringIndexOutOfBoundsException: Range [41, 25) out of bounds for length 25
1
   (("( - x"f) ""
    (" (expand"convex
      (("" (skeep)
        (("" (expand)
          (("(inst -2"x y"""java.lang.StringIndexOutOfBoundsException: Index 36 out of bounds for length 36
            (("" (assert)
              ((""
                (inst - "f(t * x - t * y + y)"
      "f(y) *f(y)+ t * f()"java.lang.StringIndexOutOfBoundsException: Index 46 out of bounds for length 46
                (("" (assert)
                  (" inst -f" fy""")
                    (" (assert)nil il)nil)java.lang.StringIndexOutOfBoundsException: Index 49 out of bounds for length 49
                                    ( (expand)("() nil ))
                nil)
              nil))
            nil))
          nil))
        nil))
      nild, ->]number_fieldsnil
    nil((2 )
   real_times_real_is_realapplication-judgement""reals)
    (real_plus_real_is_real application-judgement "real" reals nil)
    (convex?                    mult-by2 (                                (mult-by -2 "(1-tnumber_fieldsnil
("2 ) nil nil)
    (real_minus_real_is_real application-judgement "real" reals nil)
    (real_le_is_total_order name-judgement "()
     real_props    (real_prednil))
    numfieldnonempty-type-eq-decl number_fieldsnil)
    (+ const-decl "[numfield, ("3"( "max"java.lang.StringIndexOutOfBoundsException: Index 46 out of bounds for length 46
    (                                ( - (t"java.lang.StringIndexOutOfBoundsException: Index 52 out of bounds for length 52
(*const-decly-type-decl nilnumbersnil)
    (real nonempty-type-from-decl nil reals nil)
    ( const-decl [ >boolean"realsnil)
    (number_field""(skeep)
    (number_field_pred                                ))
     nil)
    (boolean                nil
    ( nonempty-type-declnil numbersnil)java.lang.StringIndexOutOfBoundsException: Index 48 out of bounds for length 48
   )
 (mult-by - java.lang.StringIndexOutOfBoundsException: Range [45, 22) out of bounds for length 22
  (max_of_convex-1("4java.lang.StringIndexOutOfBoundsException: Index 37 out of bounds for length 37
   (""(mult-by -3 "t")
    ((""expand"convex?")
      (("" (skeep)
(" inst?java.lang.StringIndexOutOfBoundsException: Index 20 out of bounds for length 20
          (                      (""  y>(*xt y+)orf t y+)<gt -java.lang.StringIndexOutOfBoundsException: Range [110, 109) out of bounds for length 120
            ((nil
( (" ")(""()nilnil)
                (("" (hide -3)
                  ((""
(t*                            5 assert
                    1 fy = g(y orfy) << gy))
(""("()>= g ((("java.lang.StringIndexOutOfBoundsException: Index 37 out of bounds for length 37
                        " ()
(1 (expand(") nil )
                                  )
                                  mult-by3"nilil)
                            (("2"java.lang.StringIndexOutOfBoundsException: Index 42 out of bounds for length 42
                              (("2"
                                 nil))
                                mult-by- ")
                                  (mult-by3""java.lang.StringIndexOutOfBoundsException: Index 50 out of bounds for length 50
                                  ((                            )
                                  nil(("
                                nil))
                              nil))
                            
" expand"max
                            (("3" (assert)
                              3
                                (                                  )                                  7) java.lang.StringIndexOutOfBoundsException: Index 58 out of bounds for length 58
                                ((                            )
                                  (mult-bynil
                                  (("3" (assert) nil nil))
)
                                nil))
                              nil))
                            nil)
                           ("4" (expand "max")
                            (("4" (assert)
                              (("4"
                                (mult-by -2 "(1-t) (("" ((grind))nil)java.lang.StringIndexOutOfBoundsException: Index 57 out of bounds for length 57
                                (("4"
( 3 t)
                                  (("4" (assert) nil nil))
                                  nil))
                                nil))                      nil)
                              nil))
                            nil)
                           ("5" (expand "max")
)
                                                              nil)
                                real_times_real_is_real ""   nil)java.lang.StringIndexOutOfBoundsException: Index 39 out of bounds for length 39
                                (5
                                  (mult-by -3 "t")
                                  (("5" (assert) nil nil))
                                  nil    numbernonempty-type-decl nil                                  (mult-by- ()
                                nil))
                              nil))
                            )
                           ("6" (expand "max")
                            (("6" (assert)
                              (("6"
                                (mult-by -2 "(1-t)")
                                ((""
                                 mult-by -3 "t")
                                  (("6" (assert) nil nil))
                                  nil))
                                nil))
                              nil))
                            )
                           ("7" (expand "max")
                            (("7" (assert)
((""
                                (mult-by -2 "(1-t)")
                                (("7"
                                  mult-by-"t)
                                  (("7" (assert) nil nil))
                                  nil))
                                ("6 (expand "max)
                              nil)
                            nil)
                           ("8" (expand " (mult-by -2 (1-")
                            nil                                  mult-by-3 "t")
                          nil)
                         ("2" (mult-by -3 "t")
                          (("2" (hide-all-but 1)
                            ((2" grind)nilnil))nil))
                          nil)java.lang.StringIndexOutOfBoundsException: Index 37 out of bounds for length 37
                        nil)
                       ("2" (hide-all-but 1) (("2" (grind) nil nil))
                        nil))
                      nil)
                     "" hide-all-but )("2(grind nilnil)
                      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)
sniljava.lang.StringIndexOutOfBoundsException: Index 52 out of bounds for length 52
    ( nonempty-type-declnil numbers nil)
    (boolean nonempty-type-decl nil booleans nil                                ))
    (number_field_pred const-decl                           (8 expand max" (" assert nilnil nil))
     nil)
    (number_field nonempty-type-from-decl nil number_fields nil)
    real_predconst-decl" -]"realsniljava.lang.StringIndexOutOfBoundsException: Index 64 out of bounds for length 64
    real nil n)
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_propsnil)real_props nil)
    both_sides_times_pos_le1_impformula-decl nilextra_real_props
     )
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props                          ))
( (?real
     real_props nil)
(  { | =mp=n"real_defsnil)
java.lang.StringIndexOutOfBoundsException: Range [38, 4) out of bounds for length 58
    (both_sides_times_pos_ge1_imp formula-decl"(strict_total_order?real] "nil)
niljava.lang.StringIndexOutOfBoundsException: Index 9 out of bounds for length 9
    nil
     "(strict_total_order?[real] nilreal_typesnil)
    (posreal nonempty-type-eq-decl nil real_types nil)
    >const-decl"bool" nil)
    both_sides_times_pos_lt1 formula-decl 
    (bool nonempty-type-eq-decl nil booleans nil)
    (OR const-decl "[bool, bool -> bool]" booleans nil)
    (>= const-decl "bool" reals      nil)
    (ljava.lang.StringIndexOutOfBoundsException: Index 8 out of bounds for length 8
    (+ const-decl "[ (> const-decl """ reals nil
    (- const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (const-declnumfield   numfield number_fields nil)
        booleannonempty-type-decl ( const-decl"[ bool - bool]" booleans )
    (real_minus_real_is_realboolean] java.lang.StringIndexOutOfBoundsException: Index 69 out of bounds for length 69
   shostak)
 sum_of_convex0
5417
eep
    ( * numfieldnumfield -numfield" nil)
      (("" (skeep)
        (("" (inst - "x"     (oth_sides_times_pos_le1_impformula-decl 
              ( (real_lt_is_strict_total_ordername-judgement
java.lang.StringIndexOutOfBoundsException: Index 29 out of bounds for length 25
              (("real_propsil)
java.lang.StringIndexOutOfBoundsException: Range [15, 12) out of bounds for length 17
  sum_of_convex-1nil44190
        neg_real  nil  )
      nil)e(" skeepjava.lang.StringIndexOutOfBoundsException: Index 14 out of bounds for length 14
    nil)
   (real_times_real_is_real posrealnonempty-type-eq-declnil real_types)
    ( application-judgement ""realrealsniljava.lang.StringIndexOutOfBoundsException: Index 67 out of bounds for length 67
    (convex? const-decl "bool" convex_functions nil)
empty-type-decl nilnumbers nil)
    (boolean nonempty-type-decl nil booleans nil)nil)
    number_field_predconst-decl"number -boolean"number_fields
     nil
        > const-declbool     niljava.lang.StringIndexOutOfBoundsException: Index 11 out of bounds for length 11
    (real_predconst-decl [- ] reals nil((real_times_real_is_realapplication-judgement "real reals)
(realnonempty-type-from-decl nil reals 
    (real_minus_real_is_real application-judgement "real (*const-decl "[ application-judgementreal" )
    (  "(total_order?[real]convex? "bool convex_functions)
     real_props nil)
    (+ const-decl "[T -> real]"    numbernonempty-type-decl nil numbersnil)
hostak)
 (scal_convex sum_of_convex0
  nil 6431java.lang.StringIndexOutOfBoundsException: Index 31 out of bounds for length 31
   (skeep
    (" (java.lang.StringIndexOutOfBoundsException: Range [17, 16) out of bounds for length 27
      ( (skeepjava.lang.StringIndexOutOfBoundsException: Index 18 out of bounds for length 18
                  (real_le_is_total_order java.lang.StringIndexOutOfBoundsException: Range [43, 42) out of bounds for length 65
          (("" (expand "*")
("assert)
              (("" (factor 1)
                (("" (mult-by -1 "aaa") ((""java.lang.StringIndexOutOfBoundsException: Index 45 out of bounds for length 17
                niljava.lang.StringIndexOutOfBoundsException: Range [19, 20) out of bounds for length 12
              nil)
            nil))
)
        nil))
      )
    nil)
(real_times_real_is_real "" niljava.lang.StringIndexOutOfBoundsException: Index 68 out of bounds for length 68
    (real_plus_real_is_real application-judgement "real" reals nil    convex?const-decl"bool"  nil)
    (?const-decl""convex_functions           " (ssert)
    (number nonempty-type-decl     (                ""( 1") (("()n nil)nilnil)
    (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 nil))
    (real nonempty-type-from-decl nil reals nil)
    real_minus_real_is_realapplication-judgement"real reals nil)
    (real_le_is_total_order name-judgement "(total_order?[real])"
      nil)
    (both_sides_times_pos_le1_imp formula-decl     real_minus_real_is_realapplication-judgement"eal" reals nil)
java.lang.StringIndexOutOfBoundsException: Index 27 out of bounds for length 9
    (nonneg_real nonempty-type-eq-decl nil real_types nil)
    (nnreal type-eq-decl    +const-decl "T >real]"  )
    ( ((scal_convex 0
    boolnonempty-type-eq-decl  booleansnil)
    (* ( " boolean nonempty-type-decl nil booleans nil
    (-      (" ()
    ( const-decl[ numfield -- numfield  nil)
    numfield    ("( ")
    (= const-decl ( "" )
    (* const-decl "[T -> real]" real_fun_ops nil))
   shostak))
 (convex_function_right_lt_TCC1 0
  ( nil 36((" - ""aaa) (""assert)) nilnilnil))java.lang.StringIndexOutOfBoundsException: Index 69 out of bounds for length 69
"(subtype-tcc) nil nil)
   real_props nil
    ( 
    (NOT     nil)
    (number nonempty-type-decl         )
    (number_field_pred const-decl " nil)
     niljava.lang.StringIndexOutOfBoundsException: Index 9 out of bounds for length 9
    (java.lang.StringIndexOutOfBoundsException: Range [42, 41) out of bounds for length 64
(  [)
    (real nonempty-type-from-decl nil reals nil)
    (real_minus_real_is_real application-judgement "real" reals nil)
    (real_lt_is_strict_total_order
     "(strict_total_order?[real])"     (* const-decl "[numfield, numfield -> numn nilbooleansnil)
      convex const-decl"" convex_functions niljava.lang.StringIndexOutOfBoundsException: Range [53, 52) out of bounds for length 52
    (/= const-decl "boolean" notequal nil)
    java.lang.StringIndexOutOfBoundsException: Range [29, 28) out of bounds for length 68
    (real_plus_real_is_real  (realnonempty-type-from-decl)
   nil)    ( application-judgement" (=const-decl "[,T- boolean" equalities il)
    real_le_is_total_ordername-judgement "?real]]"
  (convex_function_right_lt-3 nil345350java.lang.StringIndexOutOfBoundsException: Index 44 out of bounds for length 44
   (""    (" ( nil
 ("namett (C-A)(B-A))
      (("1" (label "ttname" -1)
        ("" case     nil)
          (("1" (label "ottname" -1)
            (("1" (expand "convex?")
("1"( " A"""java.lang.StringIndexOutOfBoundsException: Index 41 out of bounds for length 41
(""(ase"A numbers nil)
                  (("1" (replace -1)
( assert
                      (("1" (split)
                             nil)
java.lang.StringIndexOutOfBoundsException: Range [46, 26) out of bounds for length 39
                           "(B - C) / (C - boolean]]"  nil
                          "1
                            (case-replace "(B - A) / (C - A) (real_minus_real_is_real]"  )
                            (("1 (convex_function_right_lt_TCC1-1(?real]" eal_propsniljava.lang.StringIndexOutOfBoundsException: Index 50 out of bounds for length 50
                             "
replacettname" + rl)
                                ((    number nilnumbers java.lang.StringIndexOutOfBoundsException: Range [46, 42) out of bounds for length 42
(                                  (cross-mult
                                   name-judgement
                                  nil))
         nil)java.lang.StringIndexOutOfBoundsException: Index 37 out of bounds for length 37
                              nil)
                             otequalnil)
                              (("2" (assert) nil("1"(case"-tt=( application-judgement"real realsjava.lang.StringIndexOutOfBoundsException: Index 68 out of bounds for length 68
                            nil)
                                                ""()
                            ((2 (field 1) nil nil)nil)java.lang.StringIndexOutOfBoundsException: Index 59 out of bounds for length 59
                          nil)
                        (""replace"+)
((  ("java.lang.StringIndexOutOfBoundsException: Index 71 out of bounds for length 71
)
                          nil)
"""(replace " rl)
                          (("3" (cross-mult 1) (("3" (assert) nil nil))
                            nil))
                          )
                        nil))
                            (1java.lang.StringIndexOutOfBoundsException: Index 31 out of bounds for length 31
                   )
                   ("2" (replace "ttname" + rl)
                    (("2" (field 1) nil nil)) java.lang.StringIndexOutOfBoundsException: Index 49 out of bounds for length 35
                  nil))
                nil))
java.lang.StringIndexOutOfBoundsException: Range [28, 19) out of bounds for length 43
            nil
           ("2" (replace "ttname"                                 "" +java.lang.StringIndexOutOfBoundsException: Index 55 out of bounds for length 55
          )
       )
       ("2" (assert) nil nil))
      nil))
    nil)
   ((real nonempty-type-from-decl nil reals nil)
    (real_pred const-decl                              nil
    -const-decl"numfield numfieldnil))
    (/ const-decl "[numfield, nznum ->(2 cross-mult )
    )
                                )
    number_fieldnonempty-type-from-decl nil nil
    (numfield nonempty-type-eq-decl nilnil                             (2" field nil )nil))
(number_field_predconst-decl"[) nil nil) nil)
     nil)
(= const-decl "[, T - boolean" equalities nil""  ""+rl
booleanjava.lang.StringIndexOutOfBoundsException: Range [35, 31) out of bounds for length 49
    (           nil)
    real_div_nzreal_is_real application-judgement "real reals niljava.lang.StringIndexOutOfBoundsException: Index 68 out of bounds for length 68
    (  real(3replace ""+rjava.lang.StringIndexOutOfBoundsException: Index 53 out of bounds for length 53
    ( pplication-judgement"real"realsnil
    (real_plus_real_is_realnil))
    (convex? const-decl "bool" nil))
nil)
    (* const-decl "[numfield, numfield -> numfield]" number_fields nil)
                    niljava.lang.StringIndexOutOfBoundsException: Index 24 out of bounds for length 24
     real_props nil)
    (real_ge_is_total_order((2 field)nilnil))nil)niljava.lang.StringIndexOutOfBoundsException: Index 23 out of bounds for length 23
     real_props nil)
    (real_lt_is_strict_total_order             )
                 nil)
               "(replace"java.lang.StringIndexOutOfBoundsException: Range [33, 32) out of bounds for length 71
    (div_mult_pos_le2 formula-declnil)
    (div_cancel3 formula-decl nil real_props nil)
    (div_cancel4 formula-decl nil real_props nil)
    (times_div2 formula-decl nil real_props nil)
        nonempty-type-eq-decl  
    (NOT )
    bool nonempty-type-eq-decl booleans )
   >const-decl - reals )
    (both_sides_times_pos_ge1 formula-decl nil real_props nil)

    (posreal(nznum    nil(const-decl,numfield>numfield number_fields)
    (FDX_65 skolem-const-decl "real" convex_functions nil)
    (>= const-decl "bool" reals nil)
    (AND const-decl    /  booleannotequal nil)
    real_gt_is_strict_total_order
java.lang.StringIndexOutOfBoundsException: Range [57, 50) out of bounds for length 50
    bijectiveconst-decl bool functions nil)
    (boolean nonempty-type-declnilbooleans nil
    (TRUE    numbernonempty-type-decl nil      ( const-decl T   boolean" equalitiesnil
    (ljava.lang.StringIndexOutOfBoundsException: Range [51, 50) out of bounds for length 68
ealnreal_types)
    ( const-decl[, > )
    (< const-decl "bool" reals nil) (<= const-decl(  (["
)
    (nzreal_div_nzreal_is_nzreal      nil)
     real_types nil)
    (minus_odd_is_odd application-judgementreal_props nilreal_ge_is_total_ordername-judgement"total_orderr]"
java.lang.StringIndexOutOfBoundsException: Range [45, 35) out of bounds for length 50
   nil)
  convex_function_right_lt-234650586
   ("" (skeep)
   ( name" )java.lang.StringIndexOutOfBoundsException: Index 34 out of bounds for length 34
      (1 bool-" )
    times_div2 nilreal_props >  bool )
          (("1" (label "ottname" -1)    nonempty-type-eq-decl nilreals nil)
        ("convex"java.lang.StringIndexOutOfBoundsException: Index 36 out of bounds for length 36
              (("1" (inst - "B( nonempty-type-eq-decl onneg_realnonempty-type-eq-decl nilr )
                (("1" (case "A + tt * B - tt * A = FDX_65skolem-const-decl real convex_functions)
                  (("1" (replace -1)
"()
                      ANDconst-decl [boolbool-]"booleansnil)
("1
    real)real_propsnil
                           "rdername-judgement
                          ((" bijective?const-decl""functions nil)
("(B-A (C ) tjava.lang.StringIndexOutOfBoundsException: Index 69 out of bounds for length 69
                            (("1" (field 1)
                              (("1"
( (both_sides_times_neg_ge1 nileal_propsnil)
                                "1
java.lang.StringIndexOutOfBoundsException: Index 53 out of bounds for length 48
(("1"(ssertnil))))
    (< const-decl "bool" real= boolreals)
                              ((div_mult_pos_gt1formula-decl   java.lang.StringIndexOutOfBoundsException: Index 60 out of bounds for length 60
                               both_sides_times1  real_propsnil
(  ( nil4638java.lang.StringIndexOutOfBoundsException: Index 44 out of bounds for length 44
                          (("2" (cross-mult 1) (("2" (assert) niljava.lang.StringIndexOutOfBoundsException: Index 7 out of bounds for length 7
(1 skeep
                          ("" cross-mult(" label"ottname-java.lang.StringIndexOutOfBoundsException: Index 36 out of bounds for length 36
                            (3 () nil)))))))
                   ("2" (replace                (((label"ottname-java.lang.StringIndexOutOfBoundsException: Index 36 out of bounds for length 36
("1"(replace)
           (" ( (("1" (replace -)
       ("2" (assert) nil))))
    nil)
   nil           (case-replace
6067
   ("" (skeep)
    (("" (name "t" "(C-A)/(B-A)")
      (("1" (label "tname" -1)
        (("1" (case "1-t = (B-C)/ ((""
          (("1" (label "otname" -1)
(1"(expand "convex?)
              (("1" (inst - "B" "A" "t")
                (("1" (((""
-
                    "(assertjava.lang.StringIndexOutOfBoundsException: Index 34 out of bounds for length 34
("1(splitjava.lang.StringIndexOutOfBoundsException: Index 35 out of bounds for length 35
                        1
ase-replace( )/( -A) =(1t/"
("1"
                            (case-replace "(B - A) / (C - A) = 1/t")
                            (("1" (field 1)
((""
                                (replace "tname" +                              
                                (("1"
                                (""
                                  (1" assert )))))java.lang.StringIndexOutOfBoundsException: Index 59 out of bounds for length 59
                             ("2""3"  "2(1java.lang.StringIndexOutOfBoundsException: Index 48 out of bounds for length 48
                              (("2" (assert) nil)))))
                          2 (                           ("2" (cross-mult"2 assert nil))java.lang.StringIndexOutOfBoundsException: Index 70 out of bounds for length 70
                        2  "ttname +rl)
                          (("2" (cross-mult 1) (("2" (assert) nil                          (("3(cross-mult
                         "( "tname"("assert)java.lang.StringIndexOutOfBoundsException: Index 28 out of bounds for length 28
"( (" ( 1 )))))java.lang.StringIndexOutOfBoundsException: Index 50 out of bounds for length 50
(" assert )))))java.lang.StringIndexOutOfBoundsException: Index 57 out of bounds for length 57
                   "2 (replace "tname+rl
                    (("2" (field(""java.lang.StringIndexOutOfBoundsException: Index 18 out of bounds for length 8
           ("2"   (" ()
       (""       ("2" (1"inst-B"A t"java.lang.StringIndexOutOfBoundsException: Index 40 out of bounds for length 40
    nil)
   nil))
 (convex_function_left_lt_TCC1 0          ((1         ("
  convex_function_left_lt_TCC1-13463058java.lang.StringIndexOutOfBoundsException: Index 48 out of bounds for length 48
   " subtype-tcc nil (" field1
   ((boolean nonempty-type-decl nil booleans nil)
    boolnonempty-type-eq-decl booleansniljava.lang.StringIndexOutOfBoundsException: Index 49 out of bounds for length 49
( const-decl(("1java.lang.StringIndexOutOfBoundsException: Index 35 out of bounds for length 35
  )
    (number_field_pred const-decl "[number - ((1"
    nil
    (number_field nonempty-type-from-decl
    (real_pred const-decl "[ (case-replace"B-)" )n)))java.lang.StringIndexOutOfBoundsException: Index 59 out of bounds for length 59
                                     ("2"(("2" (assert)))
    (real_minus_real_is_real application-judgement "real" reals nil)
    (real_lt_is_strict_total_order(   )
     "(strict_total_order?[real])" real_props nil)
    (convex? const-decl "bool"                                (1java.lang.StringIndexOutOfBoundsException: Index 37 out of bounds for length 37
    (/= const-decl("" lacetname+rljava.lang.StringIndexOutOfBoundsException: Index 52 out of bounds for length 52
( application-judgementreal reals nil
    (real_plus_real_is_realapplication-judgement2 field) nil)))java.lang.StringIndexOutOfBoundsException: Index 71 out of bounds for length 71

 (convex_function_left_lt 0
  convex_function_left_lt-1 nil35085
   ("" (lemma "convex_function_right_lt")
    (("" (skeep)
      (("" (                            (3"assert)))))))))
        ((assert (( ( 1 ("(java.lang.StringIndexOutOfBoundsException: Range [50, 49) out of bounds for length 68
          nil))
        ))
      nil))
   )
   ((real_div_nzreal_is_real( nil 
(real_times_real_is_realapplication-judgement real realsnil)
    (java.lang.StringIndexOutOfBoundsException: Index 24 out of bounds for length 12
    (real_ge_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    r
     "( (number numbers )
    (boolnonempty-type-eq-declnilbooleansnil
    NOTconst-decl  "[ - number_fields
    (/= const-decl "boolean(number_field nonempty-type-from-decl nil number_fields nil)
    (numfield nonempty-type-eq-decl     numbernonempty-type-decl numbersnil
- [,numfield>numfield]" number_fields nil(real_minus_real_is_realapplication-judgement""reals)
     nil)
    (* const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (nznum nonempty-type-eq-decl nil number_fields nil)
( const-decl " /const-decl"" niljava.lang.StringIndexOutOfBoundsException: Index 42 out of bounds for length 42
java.lang.StringIndexOutOfBoundsException: Range [3, 2) out of bounds for length 43
    idconst-decl"bijective?T,T) identity nil)
    (bijectiveconvex ("()
    (real_gt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (=  "" notequalnil)
-     pplication-judgement""realsnil
    (nonneg_real nonempty-type-eq-decl nil real_types nil)
    ( (convex_function_left_lt
     nilnil)
    (real_plus_real_is_real application-judgement "real(real_div_nzreal_is_real application-judgement "real(" skeep)
    (real_le_is_total_order name-judgement "(total_order?[real])"
     java.lang.StringIndexOutOfBoundsException: Range [16, 15) out of bounds for length 20
          nil))
    (div_distributes_minus formula-decl nil(real_lt_is_strict_total_order)java.lang.StringIndexOutOfBoundsException: Index 11 out of bounds for length 11
times_div2  real_props)
    (> const-decl "bool" reals nil)
( application-judgementodd_int integers (nonempty-type-eq-decl number_fields)
(real nonempty-type-from-decl  reals )
    (real_pred const-decl "[number_field -> boolean]" reals nil)
    (number_field nonempty-type-from-decl nil number_fields nil)
        ( name-judgement
java.lang.StringIndexOutOfBoundsException: Range [6, 5) out of bounds for length 9
    (  " )
    (number nonempty-type-decl nil numbers    (/ const-declbooleannotequalnil
    ( formula-decl convex_functionsnil)
   shostak))
 (between_point_is_wtd_av     (bijective const-decl "bool functions nil
between_point_is_wtd_av-1 "?] )
   ("" (skeep)
    (("" (case "x = y")
(1"((DX_69 eal )
       (" ( nilreal_types )
        (("1" (prop)    (*const-decl"numfield ->numfield] iljava.lang.StringIndexOutOfBoundsException: Index 71 out of bounds for length 71
          (("1" (cross-mult 1) (("1" (    real_le_is_total_orderTRUE"bool booleansnil)
               (iv_mult_pos_ge2formula-decl nil nil)
("(mult-by 1 (y-x) ("field )nil
          nil)
         ("2" (assert) nil nil))
        nil))
      nil))
)
   ((    (number_fieldnonempty-type-from-decl nil number_fieldsnil)
    real_predconst-decl[ booleanFDX_69skolem-const-decl "realconvex_functionsniljava.lang.StringIndexOutOfBoundsException: Index 58 out of bounds for length 58
    number_field nilnumber_fieldsnil)
    (    real_le_is_total_order name-judgement "(otal_order?numbern )
     nil)
        convex_function_right_lt  nil)
    (     real_propsis_w0
type-declniln
( "total_order?[]"
            (2"( minus_odd_is_odd "odd_int )
    (real_times_real_is_real application-judgement "real" reals nil(( ) (1 ()  nilnil)( nil  niljava.lang.StringIndexOutOfBoundsException: Index 48 out of bounds for length 48
    (real_gt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)    ( nil  nil
( ame-judgement"?real)"
     real_props nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    ( 
(between_point_is_wtd_av-1  36815java.lang.StringIndexOutOfBoundsException: Index 43 out of bounds for length 43
    (posreal    nil      (1  +0 (1(assertnil nil)niljava.lang.StringIndexOutOfBoundsException: Index 52 out of bounds for length 52
(nonempty-type-eq-declnil
    (div_mult_pos_le2 formula-decl nil            ("2"c  (""(assert nil) nil)
( nil real_props nil)
           (3" mult-by 1"y-x (     )
    bijectiveconst-decl bool functions )
    (id const-decl "(bijective?[T, T ("" asserttype-decl )
    (TRUE const-decl "bool" booleans nil)
    (minus_odd_is_odd)
    NOT [ - "booleansil)
    (real_plus_real_is_real application-judgement "real" reals nil)
    (* const-decl "numfield - numfield]"  il)
    (+ const-decl " const-decl "[ -boolean" realsnil)
( nonempty-type-eq-decl  )
    (both_sides_times1 formula-declr )
    (/ const-decl "[numfield, nznum -> numfield]" number_fields nil)
decl n )
    (/= const-decl    (nonempty-type-decl)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (- const-decl "[numfield, numfield -> numfieldorder?realjava.lang.StringIndexOutOfBoundsException: Index 65 out of bounds for length 65
    (y skolem-const-declreal_propsjava.lang.StringIndexOutOfBoundsException: Range [5, 4) out of bounds for length 56
    ( skolem-const-decl"convex_functions iljava.lang.StringIndexOutOfBoundsException: Index 53 out of bounds for length 53
    (real_minus_real_is_real application-judgement "real" reals nil)
    ( application-judgementrealreals)
   shostak)    (real_ge_is_total_order (div_mult_pos_le2 real_propsnil
 (between_point_is_wtd_av2 0
  ( nil]number_fields nil
   ("(skeep)
    (("" (lemma "between_point_is_wtd_av")
"inst """z)
(" )
          (("" (skosimp*(application-judgementodd_int integers)
java.lang.StringIndexOutOfBoundsException: Range [13, 12) out of bounds for length 71
          nil
        nil)    bijective?const-decl"bool c [,,>] )
      nil))
    nil    id "] )
   ((between_point_is_wtd_av formula-decl nil convex_functions nil)
    (real_minus_real_is_real application-judgement "real" reals     /const-decl"numfieldnnumfield number_fields nil)
 real nil
    ()java.lang.StringIndexOutOfBoundsException: Index 12 out of bounds for length 12
     (" ( real_props java.lang.StringIndexOutOfBoundsException: Index 55 out of bounds for length 55
    -const-decl"numfield numfield - numfield]"number_fieldsnil
field  number_fields)
    (real_plus_real_is_real application-judgement    ((""(*java.lang.StringIndexOutOfBoundsException: Index 25 out of bounds for length 25
    (real     (/= const-decl "boolean" nil
    (real_pred const-decl "[number_field -> boolean]" reals (  java.lang.StringIndexOutOfBoundsException: Index 11 out of bounds for length 11
    ((  ""       realr nil
    (number_field_pred (real_minus_real_is_real ""realsnil
     nil)real_props)
    (boolean nonempty-type-decl nil booleans nil)
       (nonempty-type-decl    ))
   shostak))
 (convex_const_on_connected_min 0
  (convex_const_on_connected_min-1 nil 34628   ( (skeep
   ( (skosimp*)
    (("" (case      (" (instnumber_fieldnonempty-type-from-decl java.lang.StringIndexOutOfBoundsException: Index 64 out of bounds for length 64
      ("1"(      (("1" (expand java.lang.StringIndexOutOfBoundsException: Index 12 out of bounds for length 12
        (("1" (name "ttt" "(y!1-x!1)/(w!1-x!1)")
          (("1" (label "tname" -1)
            (("1"(  w1 "!""")
              (("1" (prop)
                (("1" (case "x!1 + ttt * w!1nil)
                  (("1" (replace -1)
                    (("1" (label ( java.lang.StringIndexOutOfBoundsException: Index 39 out of bounds for length 28
                      name-judgementtotal_order[])java.lang.StringIndexOutOfBoundsException: Index 65 out of bounds for length 65
                        (("1" (assert)numfieldnonempty-type-eq-decl   )
          (1 (abel"tname" -)
                            ((""
                              (both-sides )
                               -2)
                              (("1"
                                (assert)
                                (("1"
                                  cancel-by -"]number_fields
                                  (("1"
                                    (replace "tname" + rl)
                                    (("1"
                                      (cross-mult 1)
                                      (("1" (assert) nil nil))
         ))
                                    nil))
                                  nil))
                                nil))
                              nil))
                           nil
                          nil))
                        nil))
                      nil))
                    (cancel-by- ""
                   ("2 (replace(1java.lang.StringIndexOutOfBoundsException: Index 40 out of bounds for length 39
    (""(                    ("java.lang.StringIndexOutOfBoundsException: Index 41 out of bounds for length 41
                      (("2"                   (1()nilnil)
                        (("2" (assertnil-)
                          (("2" (grind) (("2" (field("1 (assertnil)
                          nil))
                        nil))
                      nil))
                    nil                        )
                  nil)
                 ("2" (replace "tname" + rl)
                  (("2" (cross-mult 1) ((                                (2( 1
                  nil)
                 ("3" (replace "tname" + rl)
                  (("3"(replace"nil)
                  ))
                nil))
              nil))
            nil
           ("2" (assert) nil nil))
          nil))
        niljava.lang.StringIndexOutOfBoundsException: Index 12 out of bounds for length 12
                                      nil))
        (("1" (expandnil))
          (""(("(replace ""+ java.lang.StringIndexOutOfBoundsException: Index 44 out of bounds for length 44
            (("1" (nil)
              (("1" (inst)
                (("1" (prop)
                  (("nil)
                    (("1" (replace -                   2 replace"name"+)
                      (("1" (label "xname" -1)
                        (1"""(asejava.lang.StringIndexOutOfBoundsException: Range [20, 18) out of bounds for length 30
                          (("()
                            ((            (2()
                              (("1"
both-sides"""tttf(!" 2
                                (("1"
                                  
(                  w+ttty! -tt w=x!"java.lang.StringIndexOutOfBoundsException: Index 66 out of bounds for length 66
                                    (factor -2)
                                    (("1"
                                      (name "GEE" "(1-ttt)"java.lang.StringIndexOutOfBoundsException: Index 59 out of bounds for length 44
                                      (("1"
                 "3 replace tname )
                                        (""( )( (("java.lang.StringIndexOutOfBoundsException: Index 35 out of bounds for length 35
                                          (div-by -3 "GEE")
                                          (("1"
                                            ( GEE"1-))
                                            " (expand"?)
                                             (                                        " java.lang.StringIndexOutOfBoundsException: Range [22, 21) out of bounds for length 50
                                              div-by-"EE)
                                              (("2"
                                                (cross-mult 1)
                                                ""
                                                                      (1 replace-)
                                                  
                                                  nil                                                  (2
                                              2
                                              nil)
                                            
                                          
                                        nil))
                                      nil)
                                    nil))
                                  nil)                                              nil))
                                nil))
                              nil))nil))
                            nil))
                          )java.lang.StringIndexOutOfBoundsException: Index 31 out of bounds for length 31
                        nil))
                      nil)
                     ("2" nil                                   java.lang.StringIndexOutOfBoundsException: Range [64, 63) out of bounds for length 68
                      (("2" (mult-by 1 "(y!1 - w!1)")
                        (("2" (field 1) nil nil))                                                   (as
                      nil))
                    nil)
                   ("2" (replace "tname" + rl)
                    (("2" (cross-mult 1) (("2" (assert) nil nil)) nil))
                    nil)
                   (                                          )
                    (("3" nil)""(replace"name"+)
                    )                    ""( )(2 assertnilnil nil)
                  nil))
                nil))
              nil)
             ("2" (assert) nil nil))
            nil))

(2 (inst w1) (""(  nil)nil)
        nil))
      nil))
    nil)
   ((>= const-decl "bool" reals nil)
    (bool nonempty-type-eq-decl nil booleans 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 " ((2 cross-mult1 ""()n nil))
     nil)
    boolean nilbooleansnil))nil
    (number nonempty-type-decl((" cross-mult 1)
    (real_minus_real_is_real application-judgement "real" reals nil)
    (real_div_nzreal_is_real application-judgement "real" reals nil)
    (= const-decl "[T, T( nilr
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (/                  (al_predconst-decl number_field- niljava.lang.StringIndexOutOfBoundsException: Index 64 out of bounds for length 64
    nznumnonempty-type-eq-decl nil
    number  numbersnil)
    (- const-decl "[numfield, numfield -> numfield]" number_fields(""( -"!" (a ""  java.lang.StringIndexOutOfBoundsException: Index 68 out of bounds for length 68
    (div_mult_pos_le1 java.lang.StringIndexOutOfBoundsException: Index 30 out of bounds for length 8
    (AND const-decl "[bool, bool ->( nilrealsnil)
eal_pred  number_field>boolean]"realsniljava.lang.StringIndexOutOfBoundsException: Index 64 out of bounds for length 64
    x!skolem-const-declrealconvex_functionsnil
    (div_mult_pos_le2 formula-decl nil real_props nil)
    (+ const-decl "[numfield, numfield -> numfield]" number_fields java.lang.StringIndexOutOfBoundsException: Index 68 out of bounds for length 56
    (* const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    ((div_mult_pos_le2 nil " )
     real_props nil)
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (<= const-decl "bool" reals nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (both_sides_minus_le1 formula-decl nil real_props nil)
    (both_sides_plus_le2 formula-decl nil real_props nil)
    ( java.lang.StringIndexOutOfBoundsException: Index 49 out of bounds for length 49
     "(strict_total_order?[real])" real_props nil)
    ( const-decl "bool" reals nil)
    ( application-judgement ""
     real_types nil)
    ( formula-declnil java.lang.StringIndexOutOfBoundsException: Index 67 out of bounds for length 67
   )
    (nonneg_real nonempty-type-eq-decl nil real_types nil)
    (- const-decl "[numfield -> numfield]" number_fields nil)
    (CBD_77 skolem-const-decl "real" convex_functions nil)
    bijectiveconst-decl bool )
    (id const-decl "(bijective?[T, T])" identity nil)
    (TRUEconst-decl boolbooleansnil
    (minus_even_is_even application-judgement "even_int" integers nil)
java.lang.StringIndexOutOfBoundsException: Index 69 out of bounds for length 69
    (zero_times1 formula-decl nil real_props nil)
    (div_mult_pos_ge1 formula-decl nil real_props nil)
    (nonpos_real nonempty-type-eq-decl nil real_types nil)
    (both_sides_times_neg_le1_imp formula-decl nil extra_real_propsnil(=const-decl oolreals)
     niljava.lang.StringIndexOutOfBoundsException: Index 9 out of bounds for length 9
    (div_mult_neg_le1 formula-decl nil real_props)
 application-judgementrealreals )
    (neg_one_times formula-decl nil extra_tegies nil)
    (div_mult_pos_gt1 formula-decl nil extra_real_props         (minus_evens_even application-judgementeven_intintegers)
    ( nonempty-type-eq-decl( formula-decl extra_real_props
    (minus_odd_is_odd application-judgement "odd_int" integers nil)
    (nonzero_real nonempty-type-eq-decl nil reals nil)
( nilreal_propsnil
    (convex? const-decl "bool" convex_functions nil)
    (real_plus_real_is_real application-judgement "real" reals nil)
    (real_times_real_is_real application-judgement "real" reals nil)
    (both_sides_div_pos_le1 formula-decl nil real_props nil)
GEEskolem-const-declreal n real_types)
    (formula-declnil extra_real_props)
    (div_mult_pos_lt1 formula-decl nil( nonempty-type-eq-declnil  java.lang.StringIndexOutOfBoundsException: Index 54 out of bounds for length 54
    (y!1 skolem-const-decl "real" convex_functions nil)
    (< const-decl "bool" reals nil))
   shostak))
 ( 0
  (convex_min_is_connected-1 nil 3462871047
   ("" (skeep)
    (("" (skeep)
      (("" (lemma "between_point_is_wtd_av")
        (("" (inst - "x" "y" "w")
          (("" (assert)
( formula-declnilextra_real_propsnil)
              ((""    (posreal nonemp nilreal_typesnil)
                (""""!"java.lang.StringIndexOutOfBoundsException: Index 43 out of bounds for length 43
                  (" (assert)
                    (("" (replace -3 - rl)
                      (("" (inst)
                        ((""
                          ((" (skeepjava.lang.StringIndexOutOfBoundsException: Index 16 out of bounds for length 16
                           "f(y) - t!1*f(y) = (1-t!1)*f(y)")
                          (( (" )
                          nil))
                        nil)
                      nil))
                    nil
                  nil))
                nil))
              nil))
            nil))
          nil))
        nil
      nil))
    nil)
   ((  nil )
    (boolean nonempty-type-decl nil booleans                             -1f() =(-!)f())
     const-decl"[ >boolean] (1()n )("()nil)
     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 niljava.lang.StringIndexOutOfBoundsException: Index 27 out of bounds for length 27
    (minus_odd_is_odd application-judgement "odd_int" integers nil)
    (* const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (- const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (= const-decl "[T, T -> boolean]" equalities nil)
    (convex? const-decl "bool" convex_functions nil)
    (real_plus_real_is_real application-judgement "real" reals 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)
    (real_times_real_is_real application-judgement "real" reals nil)
    (real_minus_real_is_real application-judgement "real" reals nil)
    (between_point_is_wtd_av formula-decl nil convex_functions nil))
   shostak))
 (loc_convex_min_is_connected 0
  (loc_convex_min_is_connected-1 nil 3462873854
   ("" (skeep)
    (("" (skeep)
      (("" (lemma "between_point_is_wtd_av")
        (("" (inst - "x" "y" "w")
          (("" (assert)
            (("" (skosimp*)
("( )
                (("" (  (loc_convex_min_is_connected-1 nil 3462873854
                  (("" (assert)
                    (("" (replace -3 - rl)(" replace- -"x""""w)
                      (("" (inst(( (  java.lang.StringIndexOutOfBoundsException: Index 37 out of bounds for length 37
                      nil))
                    ))
                  ))
l)java.lang.StringIndexOutOfBoundsException: Index 21 out of bounds for length 21
              nil))
            nil))
          nil))
        nil))
      nil))
    nil)
   )java.lang.StringIndexOutOfBoundsException: Index 13 out of bounds for length 13
    (boolean nonempty-type-decl nil booleans nil)
    (number_field_pred const-decl "[number -> nil)java.lang.StringIndexOutOfBoundsException: Index 13 out of bounds for length 13
     nil
(number_fieldnonempty-type-from-decl  nil
    ( const-decl[ - ] java.lang.StringIndexOutOfBoundsException: Index 69 out of bounds for length 69
    (real nonempty-type-from-decl nil reals nil)
    (minus_odd_is_odd application-judgement "odd_int (real nonempty-type-from-decl nil )
    (convex? const-decl "bool" convex_functions nilconvexconst-decl"convex_functions)
    (real_plus_real_is_real application-judgement "real" reals nil)
    ( name-judgement?[real
     real_props nil)
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
      nilconvex_functionsnil
    (real_minus_real_is_real application-judgement "real" reals nil)
ecl convex_functionsnil)
stak
 (convex_btw_pt_left_lt 0
 620
   ("" (skeep)
    (("" (label "convexf" -1)
      (("(boolean nil java.lang.StringIndexOutOfBoundsException: Range [45, 44) out of bounds for length 49
                    ("" (
          (("" (label "fac" -4)
            (("" (label "fbc" -5)
              (("" (label "fxc" 1)
                (("" (lemma "between_point_is_wtd_av2")
                  (("" (label "bpwa" -1)
                    (("" (inst((" expand "convex")
                      ( ()
                        (("" (skosimp*)
                          (("" (expand "convex?")
                            (("" (inst                                ("
                              ((""
                                (assert
                                ((""
                                  (copy "fac")
                                  ((""
                                    (mult-by -1 "1-t!1")
                                    ((""
nil)
                                      ((""
                                        (mult-by -1 "t!1")
nil
                                          (add-formulas -1 -2)
                                          nil
                                          
                                        nil))
                                      nil(between_point_is_wtd_av2formula-declnilconvex_functionsnil
                                    nil))
                                  nil))
                                
                              nil)    (( const-decl"numfield,numfield >numfield" java.lang.StringIndexOutOfBoundsException: Index 71 out of bounds for length 71
                            nil))
                          nil))
    (both_sides_times_pos_lt1 formula-decl nil real_props    (= const-decl "[T, T -> boolean]" equalities    (real_ge_is_total_order name-judgement " (convex? const-decl "bool" convex_functions nil)
                      nil    (numfield nonempty-type-eq-decl nil number_fields      "(strict_total_order?[real])" real_props nil)
                    nil))
                      (both_sides_times_pos_le1_imp formula-decl nil extra_real_props
                nil))
                 shostak))
                (real_le_is_total_order name-judgement  (loc_convex_min_is_connected-1 nil 3462873854
          nil))
        nil))
      nil))
    nil)
   ((between_point_is_wtd_av2 formula-decl nil convex_functions (convex_btw_pt_right_lt 0
    (number nonempty-type-decl nil numbers nil)
    (boolean nonempty-type-decl nil booleans nil)
    (number_field_pred const-decl "[ (("      (("" (label "Ax" -2)
     nil)
    (number_field nonempty-type-from-decl            (("" (label "fbc" -5)
    (real_pred const-decl "[number_field -> boolean]" reals nil)
    (real                  (("" (label "bpwa" -1)
    (< const-decl "bool" reals                       (("" (assert)
    (+ const-decl "[numfield, numfield -> ("  "w ("()nilnil nil)
    (* const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (real_gt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (posreal nonempty-type-eq-decl nil real_types nil)
    (> const-decl "bool" reals nil)
    (both_sides_times_pos_lt1 formula-decl nil real_props nil)
    (real_ge_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)
    (nonneg_real nonempty-type-eq-decl nil real_types nil)
    (>= const-decl "bool" reals nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (both_sides_times_pos_le1_imp formula-decl nil extra_real_props
     nil)
    (real_minus_real_is_real application-judgement "real" reals nil)
    (convex? const-decl "bool" convex_functions 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)
    (real_times_real_is_real application-judgement "real" reals nil)
    (real_plus_real_is_real application-judgement "real" reals nil))
   shostak))
 (convex_btw_pt_right_lt 0
  (convex_btw_pt_right_lt-1 nil 3465122644
   ("" (skeep)
    (("" (label "convexf" -1)
      (("" (label "Ax" -2)
        (("" (label "Bx" -3)
          (("" (label "fac" -4)
            (("" (label "fbc" -5)
              (("" (label "fxc" 1)
                (("" (lemma "between_point_is_wtd_av2")
                  (("" (label "bpwa" -1)
                    (("" (inst - "A" "B" "x")
                      (("" (assert)
                        (("" (skosimp*)
(expandjava.lang.StringIndexOutOfBoundsException: Index 12 out of bounds for length 12
                            (("" (inst - "Bjava.lang.StringIndexOutOfBoundsException: Range [43, 44) out of bounds for length 9
   "java.lang.StringIndexOutOfBoundsException: Index 34 out of bounds for length 34
                                (assert)
                                ((""
copy"java.lang.StringIndexOutOfBoundsException: Index 46 out of bounds for length 46
                                  ((""
                                    (mult-by -1 "1-t!1")
                                    ((java.lang.StringIndexOutOfBoundsException: Index 40 out of bounds for length 40
                                      (""( "bpwa real_propsniljava.lang.StringIndexOutOfBoundsException: Index 20 out of bounds for length 20
    (numfield nonempty-type-eq-decl nil number_fields nil)
                                        (mult-by -1 "t!1")
                  (""    (nonneg_real nonempty-type-eq-decl nil real_types nil)
                                          (add-formulas     (bool nonempty-type-eq-decl nil booleans nil)
                                          nil
                                          nil)    (real_le_is_total_order name-judgement "(total_order?[real])"
                                        nil))
                                      nil))
                                    nil))
                                  ))
                                nil))
                              nil))
                            nil))
                          nil)            (("" (mult-by -2 "t")
                        nil)                ((                                      "
                      nil))
                    nil      nil))
                  nil))
                nil)
              nil    number_field_predconst-decl"[ -boolean]"number_fields
                (number_field nonempty-type-from-decl nil number_fields nil)
          nil))
        nil))
      nil))
    nil)
    (  nilreal_typesnil)
    (number nonempty-type-decl    (number nonempty-type-decl ecl nil real_types nil)
    (boolean nonempty-type-decl nil      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 "ool reals nil)
    (+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (* const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (both_sides_times_pos_le1_imp formula-decl nil extra_real_props
     nil)
    (real_gt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (real_ge_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)
    (posreal nonempty-type-eq-decl nil real_types nil)
    (> const-decl "bool" reals nil)
    (nonneg_real nonempty-type-eq-decl nil real_types nil)
    (>= const-decl "bool" reals nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (both_sides_times_pos_lt1 formula-decl nil real_props nil)
    (real_minus_real_is_real application-judgement "real" reals nil)
    (convex? const-decl "bool" convex_functions 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)
    (real_times_real_is_real application-judgement "real" reals nil)
    (real_plus_real_is_real application-judgement "real" reals nil))
   nil))
 (convex_wtd_av_lt 0
  (convex_wtd_av_lt-1 nil 3466357784
   ("" (skeep)
    (("" (skeep)
      (("" (expand "convex?")
        (("" (inst - "x" "y" "t")
          (("" (assert)
            (("" (mult-by -2 "t")
              (("" (mult-by -3 "1-t")
                (("" (add-formulas -2 -3) nil nil)) nil))
              nil))
            nil))
          nil))
        nil))
      nil))
    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)
    (both_sides_times_pos_lt1 formula-decl nil real_props nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (>= const-decl "bool" reals nil)
    (nonneg_real nonempty-type-eq-decl nil real_types nil)
    (> const-decl "bool" reals nil)
    (posreal nonempty-type-eq-decl nil real_types nil)
    (real_ge_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)
    (< const-decl "bool" reals 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)
    (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)
    (real_minus_real_is_real application-judgement "real" reals nil)
    (convex? const-decl "bool" convex_functions nil)
    (real_plus_real_is_real application-judgement "real" reals nil)
    (real_times_real_is_real application-judgement "real" reals nil))
   nil))
 (convex_increasing 0
  (convex_increasing-1 nil 3487678404
   ("" (skeep)
    (("" (lemma "convex_btw_pt_left_lt")
      (("" (inst - "x" "w" "f(w) + (f(v)-f(w))/2" "f" "v")
        (("" (assert)
          (("" (split)
            (("1" (case "x = v")
              (("1" (replace -1) (("1" (inst - "w") nil nil)) nil)
               ("2" (assert) nil nil))
              nil)
             ("2" (inst - "w") (("2" (assert) nil nil)) nil))
            nil))
          nil))
        nil))
      nil))
    nil)
   ((convex_btw_pt_left_lt formula-decl nil convex_functions nil)
    (real_minus_real_is_real application-judgement "real" reals nil)
    (real_div_nzreal_is_real application-judgement "real" reals 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)
    (real_ge_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (= const-decl "[T, T -> boolean]" equalities nil)
    (- const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (/ const-decl "[numfield, nznum -> numfield]" number_fields nil)
    (nznum nonempty-type-eq-decl nil number_fields nil)
    (/= const-decl "boolean" notequal nil)
    (+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (numfield nonempty-type-eq-decl nil number_fields 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)
    (real_plus_real_is_real application-judgement "real" reals nil))
   shostak))
 (convex_decreasing 0
  (convex_decreasing-1 nil 3487678783
   ("" (skeep)
    (("" (lemma "convex_btw_pt_left_lt")
      (("" (inst - "w" "x" "(f(v)-f(w))/2 + f(w)" "f" "v")
        (("" (assert) (("" (inst - "w") (("" (assert) nil nil)) nil))
          nil))
        nil))
      nil))
    nil)
   ((convex_btw_pt_left_lt formula-decl nil convex_functions nil)
    (real_minus_real_is_real application-judgement "real" reals nil)
    (real_div_nzreal_is_real application-judgement "real" reals nil)
    (real_lt_is_strict_total_order name-judgement
     "(strict_total_order?[real])" real_props nil)
    (real_ge_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (- const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (/ const-decl "[numfield, nznum -> numfield]" number_fields nil)
    (nznum nonempty-type-eq-decl nil number_fields nil)
    (/= const-decl "boolean" notequal nil)
    (+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (numfield nonempty-type-eq-decl nil number_fields 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)
    (real_plus_real_is_real application-judgement "real" reals nil))
   shostak))
 (strictly_convex_implies_convex 0
  (strictly_convex_implies_convex-1 nil 3466438530
   ("" (skeep)
    (("" (expand "strictly_convex?")
      (("" (expand "convex?")
        (("" (skeep)
          (("" (case "t = 0")
            (("1" (replace -1) (("1" (assert) nil nil)) nil)
             ("2" (case "t = 1")
              (("1" (replace -1) (("1" (assert) nil nil)) nil)
               ("2" (inst - "x" "y" "t") (("2" (assert) 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)
    (strictly_convex? const-decl "bool" convex_functions 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)
    (real_minus_real_is_real application-judgement "real" reals 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)
    (convex? const-decl "bool" convex_functions nil))
   shostak))
 (strictly_convex_unique_min 0
  (strictly_convex_unique_min-1 nil 3462701259
   ("" (skosimp*)
    (("" (    (/     (/ const-decl
      (("" (inst    (real_minus_real_is_real application-judgement "real" reals nil)
        (("" (assert)
          (("" (inst - "1 / 2 * x!1 - 1 / 2 * y!1 + y!1")
           (" (grind) nil nil) nil)java.lang.StringIndexOutOfBoundsException: Index 40 out of bounds for length 40
              (numfield nonempty-type-eq-decl nil number_fields nil)
        nil(    )
      nil))
    nil)
   ((real_times_real_is_real application-judgement " (boolean nonempty-type-decl nil booleans nil)
    (shostak
    strictly_convex const-decl "bool" convex_functions)
    (    (real_lt_is_strict_total_order
     "(strict_total_order?[real])" real_props ("(java.lang.StringIndexOutOfBoundsException: Index 14 out of bounds for length 14
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (real_minus_real_is_real      nil))
    + "numfield -( formula-decl nil)
    (- const-decl "[((""
    (* const-decl "[numfield, numfield -> numfield]" number_fields nil)  "t*(real_lt_is_strict_total_order
    (/ const-decl "[numfield, nznum -> numfield]" number_fields nil)
    (nznum nonempty-type-eq-decl nil number_fields nil)
    (/= const-decl "boolean" notequal nil)
    (numfield nonempty-type-eq-decl nil number_fields 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)
    (posrat_div_posrat_is_posrat application-judgement "posrat"
     rationals nil))
   shostak))
 (strictly_conv_uniq_intv_min 0
  (strictly_conv_uniq_intv_min-1 nil 3462701814
   ("" (skosimp*)
    (("" (expand " (real_minus_real_is_real application-judgement "real" reals nil)
      (("" (prop)
        (("" (inst - "x!1" "y!1" "1/2")
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    (number nonempty-type-decl nil numbers nil)
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    (number_field_pred const-decl "[number -> boolean]" number_fields
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    (O const-decl "T3" function_props nil)
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                      (("1" (case "f(x) >= g(x) or f(x) < g(x)")
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    (both_sides_times_pos_ge1_imp formula-decl nil extra_real_props
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     "(strict_total_order?[real])" real_props nil)
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--> --------------------

--> maximum size reached

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

100%


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