| 45044 |      1 |            /*********************************************************/
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|  |      2 |                            /*Proof Rule Declarations*/
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|  |      3 |     /*Examiner Pro Edition, Version 9.1.0, Build Date 20101119, Build 19039*/
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|  |      4 |              /*Copyright (C) 2010 Altran Praxis Limited, Bath, U.K.*/
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|  |      5 |            /*********************************************************/
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|  |      6 | 
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|  |      7 | 
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|  |      8 |                         /*DATE : 22-SEP-2011 11:10:50.42*/
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|  |      9 | 
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|  |     10 |                        /*procedure Loop_Invariant.Proc2*/
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|  |     11 | 
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|  |     12 | 
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|  |     13 | rule_family proc2_rules:
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|  |     14 |      X      requires [X:any] &
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|  |     15 |      X <= Y requires [X:ire, Y:ire] &
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|  |     16 |      X >= Y requires [X:ire, Y:ire].
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|  |     17 | 
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|  |     18 | proc2_rules(1): integer__size >= 0 may_be_deduced.
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|  |     19 | proc2_rules(2): integer__first may_be_replaced_by -2147483648.
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|  |     20 | proc2_rules(3): integer__last may_be_replaced_by 2147483647.
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|  |     21 | proc2_rules(4): integer__base__first may_be_replaced_by -2147483648.
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|  |     22 | proc2_rules(5): integer__base__last may_be_replaced_by 2147483647.
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|  |     23 | proc2_rules(6): natural__size >= 0 may_be_deduced.
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|  |     24 | proc2_rules(7): natural__first may_be_replaced_by 0.
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|  |     25 | proc2_rules(8): natural__last may_be_replaced_by 2147483647.
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|  |     26 | proc2_rules(9): natural__base__first may_be_replaced_by -2147483648.
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|  |     27 | proc2_rules(10): natural__base__last may_be_replaced_by 2147483647.
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|  |     28 | proc2_rules(11): word32__size >= 0 may_be_deduced.
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|  |     29 | proc2_rules(12): word32__first may_be_replaced_by 0.
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|  |     30 | proc2_rules(13): word32__last may_be_replaced_by 4294967295.
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|  |     31 | proc2_rules(14): word32__base__first may_be_replaced_by 0.
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|  |     32 | proc2_rules(15): word32__base__last may_be_replaced_by 4294967295.
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|  |     33 | proc2_rules(16): word32__modulus may_be_replaced_by 4294967296.
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