java.lang.StringIndexOutOfBoundsException: Index 13 out of bounds for length 13"( ) "" (lemma( nil nil "" ( nil )nil )") nil reals nil )"[Vect2 -> Vect2]" limit_vect2_vect2 nil ))nil 3445171923"" (skeep)"" (expand (numbernonempty-type-decl nil "" (inst?)" const_vfun)(" propax ) )nil ))nil )nil ))nil )nil )"[number_fieldjava.lang.StringIndexOutOfBoundsException: Range [0, 41) out of bounds for length 20 nil java.lang.StringIndexOutOfBoundsException: Index 64 out of bounds for length 64"number_field >boolean" )h 9nil numbers nil )nil cont_real_vect2 nil )" assert nil 3473 (" "" (skeep)"" (lemma "cont_vect2_real.const_cont_vr_fun" ) "" (expand "continuous_vr" )"" (inst?)" expand const_fun" )("(ropax) nil) nil)nil) nil ))nil ))nil )nil cont_vect2_real nil )"" "[number_field -> boolean]" reals nil )nil )"[number -> boolean]" number_fieldsnil )"" nil numbers nil ))nil )nil 3445171947"" (skeep"" (lemma "cont_vect2_real.const_cont_fun" (rewrite "" (expand "continuous_vr" sq_div") "" (expand "const_fun" ) (("" nil ))nil )"[Vect2 -> real]" vect2_fun_ops "vectors/" ))case "" (skeep)"" "sqv(( x =rr1(x!1 :=rr2x1 )- "" (typepred "rr2" )"( continuous_rv" )"" (expand "continuous((" 1java.lang.StringIndexOutOfBoundsException: Index 73 out of bounds for length 73"" (expand "continuous_rv?" )" skeep) "" (expand "continuous_rv?" )"" (skosimp*)"" (inst)"" (inst?)"" (expand continuousjava.lang.StringIndexOutOfBoundsException: Index 51 out of bounds for length 51"" (inst - "epsilon!1/sqrt(2)" )" "min(delta!1,delta!2)" )"" "" "x! ((" 2" "x!1" )"" assert "" "sq_lt" 1)" assert )"" nil ))nil ))rewrite sq_norm"" nil )java.lang.StringIndexOutOfBoundsException: Index 57 out of bounds for length 57th 49"" nil )"" "" "" "" nil java.lang.StringIndexOutOfBoundsException: Range [64, 65) out of bounds for length 64"sq_div" )"" nil "" case nil java.lang.StringIndexOutOfBoundsException: Index 58 out of bounds for length 58"1" assert )nil "nnznnreal|nnz * = }" sqrt/)"2" "2" nil nil nil )nil ))nil ))nil ))nil ))nil ))th 64nil ))nil ))nil ))" ) nil ))nil ))nil ))nil ))nil ))nil ))nil )nil ))nil ))nil ))nil ))nil ))"" " nil "analysis/" )"/" java.lang.StringIndexOutOfBoundsException: Index 68 out of bounds for length 68nil nil )bounds for length 47"" ()"number- boolean" number_fieldsnil numbers nil )"" nil booleans nil )"posreal" "posreal" sqrt "reals/" )"bool" reals nil )" "bool" reals nil )nil )nil number_fields nil )"boolean" notequal nil )nil number_fields)"[numfield, nznum -> numfield]" number_fields nil )nil real_types nil )"[T ((" "[numfield, numfield -> numfield]" "java.lang.StringIndexOutOfBoundsException: Index 69 out of bounds for length 69 "Vector" vectors_2D "vectors/" )"nnreal " /java.lang.StringIndexOutOfBoundsException: Index 52 out of bounds for length 52"bool" reals nil )"(bijective?[T, T])" identity nil )"bool" functions nil )"[numfield, numfield ((" " assert java.lang.StringIndexOutOfBoundsException: Index 60 out of bounds for length 60"[numfield -> numfield]" number_fields nil )nil sq "reals/" )" rewrite nil )"nnreal" vectors_2D "vectors/" )"[numfield, numfield -> numfield]" number_fields )"nonneg_real" sq "reals/" )"" vectors_2D"vectors/" java.lang.StringIndexOutOfBoundsException: Index 47 out of bounds for length 47"real" reals nil )"real" nil java.lang.StringIndexOutOfBoundsException: Index 67 out of bounds for length 67nil sq "reals/" )nil vectors_2D "vectors/" )"posreal" sq "reals/" )"(strict_total_order?[real]) real_props nil) "(total_order?[real])" nil )AND const-decl "[bool, bool -> bool]" booleans nil )"bool realsniljava.lang.StringIndexOutOfBoundsException: Range [36, 37) out of bounds for length 36 min "sq_ltjava.lang.StringIndexOutOfBoundsException: Index 70 out of bounds for length 70 "{z: posreal | z <= x AND z <= y}" real_defs nil )"bool" continuous_functions "analysis/" )"bool" cont_real_vect2 nil )"real" reals nil )"bool" cont_real_vect2 nil ))nil )nil 344535813java.lang.StringIndexOutOfBoundsException: Index 32 out of bounds for length 32"" (skeep)"" (typepred "rr1" )" (typepred " rr2)"" (expand "continuous_rv" )"" (expand "" (skeep)"" (inst?)"" (inst?)"" (expand "continuous?" )"" (expand "convergence" )"" (expand "convergence" )"" (flatten(("" "" hide" (expand fullset" java.lang.StringIndexOutOfBoundsException: Index 51 out of bounds for length 51"" "sqrt(epsilon!1/2)" )"" "sqrt(epsilon!1/2)" )"" "" "min(delta!1,delta!2)" )"" "" "x!1" )"" "x!1" )"" assert )"sq_lt 1java.lang.StringIndexOutOfBoundsException: Index 70 out of bounds for length 70 " assert )"" "" rewrite "sq_norm" )" "sq_lt" "" "" " "" assert inst"" case "sqv((# x := rr1(x!1), y := rr2( (" ;;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" expand fullset"1" " "1" "2" nil ))))))))))))))))))))))))))))))))) *nil )nil nil )";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" "(assert) "rr1" )";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" "rr2" )expand "continuous_rv" )expand "continuous?" )";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" ";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" ";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" ";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" expand "continuous?" );;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" expand "convergence" )";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" expand "convergence" )";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" ";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" ";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" expand "fullset" )";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" ";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" "sqrt(epsilon!1)/2" )";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" "sqrt(epsilon!1)/2" )";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" ";; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" "min(delta!1,delta!2)" )";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" ";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" "x!1" )";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" "x!1" )";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" assert )";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" "sq_lt" 1)";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" assert ";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" rewrite ";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" assert "sq_lt" replace ";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" assert )";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" "sq_lt" ";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" assert )";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" ";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" nil ";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" case "(#x: (x!), = (x!)#) - "( " ?assert )"1" replace "1" expand "" java.lang.StringIndexOutOfBoundsException: Index 51 out of bounds for length 51"2" nil -"(!/)) ";;; developed with shostak decision procedures") nil nil )nil inst+"(delta1delta2)java.lang.StringIndexOutOfBoundsException: Index 71 out of bounds for length 71 "" (skeep)"" (typepred "rr1" )"" (expand "continuous_rv" )"( " continuous)"" (skeep)"" (inst?)"" (inst?)"" (expand inst 2x!") "" (expand "convergence" )" (xpand" convergence)"" (flatten)"" (hide -1 -3)"" (expand "fullset" )"" "" "" ") "" "sqrt(epsilon!1/2)" )"" "" "min(delta!1,2" "" "" "x!1" ) "" "x! ((" " assert )" "" "sq_lt" 1)"" assert )"" "" rewrite "sq_norm" )"" " "" assert )"" "sq_lt" "" assert )"" " "" case "sqv((# x := rr1(x!1), y := rr2(x!1) #) - "1" assert )"1" replace "1" nil nil ))nil ))nil )"2" nil nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil )nil ))nil ))nil )nil shostak))nil 3445358259"" (skeep )"" (typepred "vr1" )"" (typepred "vr2" )"" (expand "continuous_vr" )"" ( ("" (ypepredvr1)"" (expand "continuous_vv?" )"" (expand "continuous_vr?" )"" (skeep)"" (expand "continuous_vv?" )"" (expand "continuous_vr?" )"" (inst - "x0" )"" (inst -2 "x0" )"" (skosimp*)"" (inst - "epsilon!1/sqrt(2)" )"" "!1/qrt2)" java.lang.StringIndexOutOfBoundsException: Index 60 out of bounds for length 60"" " "min (*) "" "mindelta!1,elta!)" "" "x!1" )"" "x!) "" assert )"" "sq_lt" 1)"" assert )"" "" rewrite "sq_norm" )"" "sq_lt" "" assert )"" "sq_lt" "" "" "" "" rewrite "sq_div" )"" case "sqv((# x := vr1(x!1), y := vr2(x!1) #) - " assert ) nil nil )"2" case "2java.lang.StringIndexOutOfBoundsException: Index 75 out of bounds for length 75 nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil nil nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil )nil cont_vect2_real nil )"bool" cont_vect2_realnil ))"[ > boolean]" reals nil java.lang.StringIndexOutOfBoundsException: Index 64 out of bounds for length 64nil number_fields nil )"[number -> boolean]" number_fieldsnil )nil numbers)nil reals nil )NOT const-decl "[bool -> bool]" booleans nil )nil booleans nil )nil booleans nil )"bool" cont_vect2_vect2 nil )"real" reals nil )"bool" cont_vect2_real nil )"posreal" nil )"posreal" sqrt "reals/" )"bool" reals nil )nil real_types nil )"bool" reals nil )nil real_types nil )nil number_fields nil )"" notequalnil )nil number_fields nil )"[numfield, nznum -> numfield]" number_fields nil )nil real_types nil )"[T, T -> boolean]" equalities nil )"[numfield, numfield -> numfield]" number_fields nil )"{nnz: nnreal | nnz * nnz = nnx}" sqrt "reals/" )"Vector-decl " bool" cont_vect2_real nil) "/) nil vectors_2D "vectors/" )"bool" reals nil )" identitynil) "bool" functions nil )nil sq "reals/" )nil )"{n: nonneg_real | n >= m AND n >= -m}" real_defsnil )"[umfield ->numfield" number_fieldsnil )nil sq "reals/" )"/) "posreal" "real" reals nil )"real" vectors_2D "vectors/" )"nonneg_real sq" reals") "[numfield, numfield -> numfield]" number_fields (nonneg_real nonempty-type-eq-decl real_typesnil )"nnreal" vectors_2D "vectors/" )"nnreal" nil )nil real_typesnil nil vectors_2D "vectors/" )" nil )nil )"strict_total_order[])" real_propsnil AND const-decl ( )"T,T->boolean" equalities)min nst-decl "[, numfield - numfield]" number_fieldsnil )"{z: posreal | z <= x AND z <= y}" real_defs nil )"bool" cont_vect2_vect2 nil ))nil ))nil 3459094140"" expand continuous_vr"java.lang.StringIndexOutOfBoundsException: Index 32 out of bounds for length 32 " (skeep) "" (expand "continuous_vr?" )"" skosimp"" (inst ( const-decl"bijective[,T]" identity )"" (skosimp)"" (expand "norm" )"" "numfield, numfield -> numfield]" number_fieldsnil java.lang.StringIndexOutOfBoundsException: Index 71 out of bounds for length 71"1" (assert ) nil nil )"2" (hide-all-but 1)"2" (lemma "sq_le" )"2" "abs(x(x!1)-x(x0))" "sqrt(sqv(x!1-x0))" )"2" (assert )nil sqrtreals" "2" (rewrite "sqv_sos" )"2" expand "sos" )"2" "2" expand "-" )"2" (assert ) nil nil ))nil vectors_2Dvectors)nil )java.lang.StringIndexOutOfBoundsException: Index 39 out of bounds for length 39nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil )"nnreal" vectors_2D "vectors/" )nil ") "{nnz: nnreal | nnz * nnz = nnx}" sqrt "reals/" )"[numfield ->numfield" number_fieldsnil "[T, T -> boolean]_le" )"2" ") "[numfield, numfield -> numfield]" number_fields sqrtsqv1x0" "{n: nonneg_real | n >= m AND ((" "( " sqv_sos)nil )"[numfield -> numfield]" number_fields nil )nil number_fields nil )AND const-decl "[bool, bool -> bool]" booleans nil )"bool" reals nil )"(total_order?[real])" nil )expand "" )nil )"(strict_total_order?[real])" real_props nil )nil sq "reals/" )nil sq "reals/" )nil sqrt "reals/" )nil vectors_2D "vectors/" )"nnreal" nil )"nnreal" vectors_2D "vectors/" )" nil) nil real_types nil )" reals nil) nil real_types nil )"bool" reals nil )nil booleans nil )nil reals nil )"[number_field nil) nil number_fields nil )"[number -> boolean]" number_fieldsnil )nil booleans nil )nil numbers nil )"bool cont_vect2_real nil) "real" reals nil )"ool cont_vect2_real ) nil 3459094540"" (expand "continuous_vr?" )"" (skeep)"" (expand "continuous_vr?" )"" (skosimp)"" (inst 1 "epsilon!1" )"" (skosimp)"" (expand "norm" )"" case " abs(y(x!1) - y(x0)) <= sqrt(sqv(x!1 -x0))" )"1" (assert ) nil nil )"2" (hide-all-but 1)"2" (lemma "sq_le" )"2" "abs(y(x!1)-y(x0))" "sqrt(sqv(x!1-x0))" )"assert) "2" (hide 2)"2" (rewrite "sqv_sos" )"2" expand "sos" )"2 assert )"2" expand "-" )"2" (assert ) nil nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil )"Vector" vectors_2D "vectors/" )"nnreal" vectors_2D "vectors/" )nil vectors_2D "vectors/" )"{nnz: nnreal | nnz * nnz = nnx}" sqrt "reals/" )"[numfield, numfield -> numfield]" number_fields nil )"[T, T -> boolean]java.lang.StringIndexOutOfBoundsException: Index 52 out of bounds for length 52 nil )nil vectors_2D_def/java.lang.StringIndexOutOfBoundsException: Index 54 out of bounds for length 54"[numfield, numfield -> numfield]" number_fields nil )AND n>-"real_defs "[numfield -> numfield]" number_fields nil )nil number_fields nil )AND const-decl"bool reals nil) "(total_order?[real])" nil )"ool" cont_vect2_real )"(strict_total_order?[real])" real_props nil )nil sq "reals/" )nil sq ( 0nil sqrt "reals (" ( continuous_vr" nil vectors_2D "vectors/" )"nnreal" nil "nnreal" vectors_2D "vectors/" )nil real_types nil )"bool" reals nil )nil real_types nil )"bool" reals nil )nil booleansnil nil ( -"(y(!)-(x0)java.lang.StringIndexOutOfBoundsException: Range [52, 53) out of bounds for length 52 "[number_field -> boolean]" reals nil )"[number -> boolean]" number_fieldsnil booleans nil )"bool" cont_vect2_real nil )" "bool" cont_vect2_real nil ))nil ))s for length 30"" (lemma "cont_vect2_vect2.id_cont_vv_fun" )" assert) "" (expand java.lang.StringIndexOutOfBoundsException: Index 29 out of bounds for length 29nil )nil )nil 3445173571"" (skeep)"" (typepred "vr1" )"" ))"" (lemma "cont_vect2_real.prod_cont_vr_fun" )nil ))"propax)nilnil) nil) )) nil ))nil ))nil ))nil )nil cont_vect2_real nil )"bool" cont_vect2_real nil )"[number_field -> boolean]" reals nil )nil number_fields nil ) for length 69nil )nil " ) th 48"bool - ] nil) nil booleans nil )nil nil cont_vect2_real nil )"real" reals nil )nil 3443885824" skeep) "( mult_cont_vr" "/) "" (rewrite "const_cont_vr" ) nil nil )) nil ))nil ))" nil th 49"bool" cont_vect2_real nil )nil booleans nil )"[number_field -> boolean]" reals nil )nil number_fields nil )"[number -> boolean]" number_fieldsnil )nil " lemma cont_vect2_vect2." )nil vectors_2D_def "vectors/" )nil reals nil ))nil 3445180419"" (skeep)"" (typepred ( nil 44737"" (expand "continuous_vr" )"" (lemma "cont_vect2_real" typepred") "" (inst - "vr" "vnz" )"" (assert )"" (expand "/" ) (("" (propax) nil nil )nil ))nil ))nil ))nil ))nil )nil cont_vect2_real ( "/java.lang.StringIndexOutOfBoundsException: Index 54 out of bounds for length 54 " vectors" java.lang.StringIndexOutOfBoundsException: Index 62 out of bounds for length 62"() nil number_fields nil )gth 69nil )nil numbers nil )nil "/java.lang.StringIndexOutOfBoundsException: Index 54 out of bounds for length 54 nil reals nil )NOT const-decl "[bool -> bool]" booleans nil )nil number_fieldsnil )nil booleans nil )"boolean" notequal nil )nil )"[Vect2 -> real]" vect2_fun_ops "vectors/" )"real" reals nil )nil cont_vect2_real nil ))nil ))nil 34851" skeep) "" (lemma "div_cont_vr" )"" (inst -1 "vr" "LAMBDA(v):nzx" )( nil 458"()(" rewrite )nil nil )nil )nil ))nil ))nil )nil vect_cont_2D nil "real" reals nil )nil vect_cont_2D nil )nil reals nil )"boolean" notequal nil )nil cont_vect2_real nil )nil nil booleans nil )"reals niljava.lang.StringIndexOutOfBoundsException: Index 64 out of bounds for length 64 nil nil )nil booleans nil )nil nil vectors_2D_def nzrealnonempty-type-eq-declnil )nil reals nil ))nil 3443885989"" scal_div1_cont_vr-1 34851"" (lemma "div_cont_vr" )"" (inst- vr"()" "1" (assert ) nil nil )"2" (rewrite "const_cont_vr" ))nil ))nil ))nil )nil nil "real" reals nil )nil reals nil )"boolean" notequal nil )nil cont_vect2_real nil )nil reals nil )nil vectors_2D_def "vectors/" )nil numbers nil real_pred [ >] nil java.lang.StringIndexOutOfBoundsException: Index 64 out of bounds for length 64nil )"number_field-boolean] niljava.lang.StringIndexOutOfBoundsException: Index 64 out of bounds for length 64 nil booleans nil )"bool" cont_vect2_real nil )"real" vect_cont_2D nil ))nil ))nil 3445172614"(skeep) "" (typepred "vv1" )"" ( nonempty-type-eq-decl reals)"" notequal)"" (inst - "vv1" "vv2" )"( +" - ("propax nil) nil))nil)) nil ))nil ))nil ))nil )nil cont_vect2_vect2 nil )"bool" cont_vect2_vect2 nil )nil vectors_2D_def "vectors/" number_fieldnonempty-type-from-decl nil nil java.lang.StringIndexOutOfBoundsException: Index 64 out of bounds for length 64nil reals)NOT const-decl "[bool -> bool]" booleans (continuous_vr const-decl "" cont_vect2_real)nil booleans nil )nil booleans nil )"[Vect2 -> Vect2]" limit_vect2_vect2 nil ))nil 3473598983"" (("( vv1" "vv2" )"" (typepred "vr1" )"" (typepred "vr2" )"" (lemma "sum_cont_vr_fun" )" inst -vr1" "vr2" )"" (expand "+ " -1) (("" (propax) nil nil )) nil )) nil ( nonempty-type-eq-decl cont_vect2_vect2 )nil ))nil ))nil ))nil )nil nil java.lang.StringIndexOutOfBoundsException: Index 69 out of bounds for length 69"[number_field -> boolean]" reals nil )nil nilnil ( lemma" nil vectors_2D_def "vectors/" )nil reals nil )nil )nil booleans nil )nil cont_vect2_real nil )nil 3445172848"" (skeep)"" (typepred "vr1" )"" (typepred"vr2" )"" (expand "continuous_vr" )"" (lemma "cont_vect2_real.sum_cont_fun" )"" (inst sum_cont_vr_fun nil "" (assert )"" (expand "+ " ) (("" (propax) nil nil )) nil )) nil ))nil ") nil ))nil ))nil )"inst " vr1"[Vect2 -> real]" vect2_fun_ops "vectors/" ))nil ))nil 3445172935"" (typepred "rv1" )" typepred" " "" (expand "continuous_rv" )"" (lemma "sum_cont_rv_fun" )"" (inst?) (("" (assert ) nil nil )) nil )) nil ))nil ))nil ))nil )"" (typepredrv1"" typepredrv2") nil vectors_2D_def "vectors/" )nil reals nil )"[number_field -> boolean]" reals nil )nil number_fields)"[number -> boolean]" number_fieldsnil )nil numbers nil )NOT const-decl "[bool -> bool]" booleans nil )nil real_predconst-declnil booleans number_field_predconst-decl"number- boolean" number_fieldsnil cont_real_vect2 nil ))nil ))NOT [ -bjava.lang.StringIndexOutOfBoundsException: Range [35, 34) out of bounds for length 50" expand" "java.lang.StringIndexOutOfBoundsException: Index 37 out of bounds for length 37 n: Index 27 out of bounds for length 27dex 60 out of bounds for length 60r length 9dsException: Index 58 out of bounds for length 58gIndexOutOfBoundsException: Index 48 out of bounds for length 48
Messung V0.5 C=98 H=100 G=98
ndsException: Index 64 out of bounds for length 64 Messung V0.5 C=98 H=100 G=98
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