src/HOL/SPARK/Examples/RIPEMD-160/rmd/s_l.siv
author wenzelm
Mon, 20 May 2024 15:43:51 +0200
changeset 80182 29f2b8ff84f3
parent 41561 d1318f3c86ba
permissions -rw-r--r--
proper support for "isabelle update -D DIR": avoid accidental exclusion of select_dirs (amending e5dafe9e120f);
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*****************************************************************************
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                       Semantic Analysis of SPARK Text
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    Examiner Pro Edition, Version 9.1.0, Build Date 20101119, Build 19039
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             Copyright (C) 2010 Altran Praxis Limited, Bath, U.K.
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*****************************************************************************
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CREATED 29-NOV-2010, 14:30:19  SIMPLIFIED 29-NOV-2010, 14:30:29
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SPARK Simplifier Pro Edition, Version 9.1.0, Build Date 20101119, Build 19039
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Copyright (C) 2010 Altran Praxis Limited, Bath, U.K.
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function RMD.S_L
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For path(s) from start to run-time check associated with statement of line 87:
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function_s_l_1.
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*** true .          /* all conclusions proved */
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For path(s) from start to finish:
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function_s_l_2.
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H1:    j >= 0 .
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H2:    j <= 79 .
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H3:    integer__size >= 0 .
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H4:    round_index__size >= 0 .
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H5:    round_index__base__first <= round_index__base__last .
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H6:    rotate_amount__size >= 0 .
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H7:    round_index__base__first <= 0 .
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H8:    round_index__base__last >= 79 .
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       ->
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C1:    element(mk__rotate_definition([0] := 11, [1] := 14, [2] := 15, [3] := 
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          12, [4] := 5, [5] := 8, [6] := 7, [7] := 9, [8] := 11, [9] := 13, [10]
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           := 14, [11] := 15, [12] := 6, [13] := 7, [14] := 9, [15] := 8, [16] 
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          := 7, [17] := 6, [18] := 8, [19] := 13, [20] := 11, [21] := 9, [22] 
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          := 7, [23] := 15, [24] := 7, [25] := 12, [26] := 15, [27] := 9, [28] 
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          := 11, [29] := 7, [30] := 13, [31] := 12, [32] := 11, [33] := 13, [34]
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           := 6, [35] := 7, [36] := 14, [37] := 9, [38] := 13, [39] := 15, [40] 
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          := 14, [41] := 8, [42] := 13, [43] := 6, [44] := 5, [45] := 12, [46] 
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          := 7, [47] := 5, [48] := 11, [49] := 12, [50] := 14, [51] := 15, [52] 
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          := 14, [53] := 15, [54] := 9, [55] := 8, [56] := 9, [57] := 14, [58] 
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          := 5, [59] := 6, [60] := 8, [61] := 6, [62] := 5, [63] := 12, [64] := 
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          9, [65] := 15, [66] := 5, [67] := 11, [68] := 6, [69] := 8, [70] := 
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          13, [71] := 12, [72] := 5, [73] := 12, [74] := 13, [75] := 14, [76] 
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          := 11, [77] := 8, [78] := 5, [79] := 6), [j]) = s_l_spec(j) .
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C2:    element(mk__rotate_definition([0] := 11, [1] := 14, [2] := 15, [3] := 
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          12, [4] := 5, [5] := 8, [6] := 7, [7] := 9, [8] := 11, [9] := 13, [10]
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           := 14, [11] := 15, [12] := 6, [13] := 7, [14] := 9, [15] := 8, [16] 
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          := 7, [17] := 6, [18] := 8, [19] := 13, [20] := 11, [21] := 9, [22] 
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          := 7, [23] := 15, [24] := 7, [25] := 12, [26] := 15, [27] := 9, [28] 
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          := 11, [29] := 7, [30] := 13, [31] := 12, [32] := 11, [33] := 13, [34]
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           := 6, [35] := 7, [36] := 14, [37] := 9, [38] := 13, [39] := 15, [40] 
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          := 14, [41] := 8, [42] := 13, [43] := 6, [44] := 5, [45] := 12, [46] 
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          := 7, [47] := 5, [48] := 11, [49] := 12, [50] := 14, [51] := 15, [52] 
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          := 14, [53] := 15, [54] := 9, [55] := 8, [56] := 9, [57] := 14, [58] 
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          := 5, [59] := 6, [60] := 8, [61] := 6, [62] := 5, [63] := 12, [64] := 
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          9, [65] := 15, [66] := 5, [67] := 11, [68] := 6, [69] := 8, [70] := 
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          13, [71] := 12, [72] := 5, [73] := 12, [74] := 13, [75] := 14, [76] 
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          := 11, [77] := 8, [78] := 5, [79] := 6), [j]) >= 0 .
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C3:    element(mk__rotate_definition([0] := 11, [1] := 14, [2] := 15, [3] := 
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          12, [4] := 5, [5] := 8, [6] := 7, [7] := 9, [8] := 11, [9] := 13, [10]
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           := 14, [11] := 15, [12] := 6, [13] := 7, [14] := 9, [15] := 8, [16] 
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          := 7, [17] := 6, [18] := 8, [19] := 13, [20] := 11, [21] := 9, [22] 
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          := 7, [23] := 15, [24] := 7, [25] := 12, [26] := 15, [27] := 9, [28] 
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          := 11, [29] := 7, [30] := 13, [31] := 12, [32] := 11, [33] := 13, [34]
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           := 6, [35] := 7, [36] := 14, [37] := 9, [38] := 13, [39] := 15, [40] 
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          := 14, [41] := 8, [42] := 13, [43] := 6, [44] := 5, [45] := 12, [46] 
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          := 7, [47] := 5, [48] := 11, [49] := 12, [50] := 14, [51] := 15, [52] 
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          := 14, [53] := 15, [54] := 9, [55] := 8, [56] := 9, [57] := 14, [58] 
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          := 5, [59] := 6, [60] := 8, [61] := 6, [62] := 5, [63] := 12, [64] := 
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          9, [65] := 15, [66] := 5, [67] := 11, [68] := 6, [69] := 8, [70] := 
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          13, [71] := 12, [72] := 5, [73] := 12, [74] := 13, [75] := 14, [76] 
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          := 11, [77] := 8, [78] := 5, [79] := 6), [j]) <= 15 .
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