details

property	value
status	complete
benchmark	juLinkedListCreateGetFirst.jar-obl-8.smt2
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	From_AProVE_2014

run statistics

property	value
solver	Ctrl
configuration	Transition
runtime (wallclock)	2.47047 seconds
cpu usage	2.4912
user time	1.77411
system time	0.717088
max virtual memory	720188.0
max residence set size	12776.0

stage attributes

key	value
starexec-result	YES

output

YES DP problem for innermost termination. P = init#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25) -> f3#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13, rnd14, rnd15, rnd16, rnd17, rnd18, rnd19, rnd20, rnd21, rnd22, rnd23, rnd24, rnd25) f8#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24) -> f8#(I25, I1 - 1, 0, 1, 1, I26, I27, I7, I28, I9, I29, I11, 0, I30, 2, I31, I32, I33, I34, I19 + 1, I20 + 1, I35, I36, I37, I24 + 1) [0 <= I1 - 1 /\ -1 <= y1 - 1 /\ 0 <= I5 - 1 /\ 0 <= I2 - 1 /\ -1 <= I19 - 1 /\ I19 <= y1 - 1 /\ 0 <= I9 - 1 /\ 0 <= I11 - 1 /\ -1 <= y2 - 1 /\ 0 <= I18 - 1 /\ 0 <= I17 - 1 /\ 0 <= I16 - 1 /\ 0 <= I7 - 1 /\ -1 <= I24 - 1 /\ -1 <= I20 - 1 /\ 11 <= I0 - 1 /\ 13 <= I25 - 1 /\ I20 + 5 <= I0 /\ I21 + 9 <= I0 /\ I22 + 9 <= I0 /\ I24 + 3 <= I0 /\ I23 + 9 <= I0 /\ I7 = I8 /\ I9 = I10 /\ I11 = I12 /\ I6 = I15] f8#(I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f8#(I63, I39 - 1, I40, I64, I65, I43, I44, I45, I66, I47, I67, I49, I68, I69, I70, I71, I72, I73, I74, I57 + 1, I58 + 1, I75, I76, I77, I62 + 1) [0 <= I39 - 1 /\ -1 <= I78 - 1 /\ 0 <= I43 - 1 /\ 0 <= I40 - 1 /\ -1 <= I57 - 1 /\ I57 <= I78 - 1 /\ 0 <= I47 - 1 /\ 0 <= I41 - 1 /\ 0 <= I50 - 1 /\ 0 <= I48 - 1 /\ 0 <= I49 - 1 /\ -1 <= I79 - 1 /\ 0 <= I46 - 1 /\ 0 <= I42 - 1 /\ 0 <= I56 - 1 /\ 0 <= I51 - 1 /\ 0 <= I55 - 1 /\ 0 <= I54 - 1 /\ 0 <= I52 - 1 /\ 0 <= I53 - 1 /\ -1 <= I62 - 1 /\ -1 <= I58 - 1 /\ 9 <= I38 - 1 /\ 9 <= I63 - 1 /\ I58 + 5 <= I38 /\ I59 + 9 <= I38 /\ I60 + 9 <= I38 /\ I62 + 3 <= I38 /\ I61 + 9 <= I38] f2#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104) -> f8#(I105, I80, I92, I90, I86, I91, I85, I106, I82, I93, I84, 0, I83, I87, I88, I89, I94, I95, I96, I98, I99, I107, I108, I109, I102) [I101 + 9 <= I81 /\ I102 + 3 <= I81 /\ I100 + 9 <= I81 /\ I99 + 5 <= I81 /\ 11 <= I105 - 1 /\ 11 <= I81 - 1] f3#(I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134) -> f1#(I135, I136, I137, I138, 1, 0, 0, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156) [7 <= I136 - 1 /\ 0 <= I110 - 1 /\ I136 - 7 <= I110 /\ 0 <= I111 - 1 /\ -1 <= I135 - 1] f4#(I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379, I380, I381, I382, I383, I384, I385) -> f6#(I386, I387, I388, I389, I390, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410) [-1 <= I362 - 1 /\ 0 <= I411 - 1 /\ I411 <= I362 - 1 /\ I412 <= I363 - 1 /\ -1 <= I363 - 1 /\ 0 <= I364 - 1 /\ I411 <= y3 - 1 /\ I387 <= y3 - 1 /\ -1 <= y3 - 1 /\ 6 <= I361 - 1 /\ 2 <= I386 - 1 /\ I364 + 5 <= I361 /\ I365 + 7 <= I361 /\ I367 + 3 <= I361 /\ I366 + 7 <= I361] f4#(I413, I414, I415, I416, I417, I418, I419, I420, I421, I422, I423, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I435, I436, I437) -> f6#(I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450, I451, I452, I453, I454, I455, I456, I457, I458, I459, I460, I461, I462) [-1 <= I414 - 1 /\ 0 <= I463 - 1 /\ I463 <= I414 - 1 /\ I464 <= I415 - 1 /\ -1 <= I415 - 1 /\ 0 <= I416 - 1 /\ I463 <= I465 - 1 /\ 0 <= I464 - 1 /\ I439 <= I465 - 1 /\ -1 <= I465 - 1 /\ 6 <= I413 - 1 /\ 2 <= I438 - 1 /\ I416 + 5 <= I413 /\ I417 + 7 <= I413 /\ I419 + 3 <= I413 /\ I418 + 7 <= I413] f5#(I466, I467, I468, I469, I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485, I486, I487, I488, I489, I490) -> f4#(I491, I467, I468, I469, I492, I493, I472, I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508, I509, I510, I511) [I471 + 7 <= I466 /\ I472 + 3 <= I466 /\ I470 + 7 <= I466 /\ I469 + 5 <= I466 /\ 6 <= I491 - 1 /\ 6 <= I466 - 1] f3#(I512, I513, I514, I515, I516, I517, I518, I519, I520, I521, I522, I523, I524, I525, I526, I527, I528, I529, I530, I531, I532, I533, I534, I535, I536) -> f4#(I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556, I557, I558, I559, I560, I561) [-1 <= I562 - 1 /\ 0 <= I513 - 1 /\ 0 <= I512 - 1 /\ 6 <= I537 - 1] f1#(I563, I564, I565, I566, I567, I568, I569, I570, I571, I572, I573, I574, I575, I576, I577, I578, I579, I580, I581, I582, I583, I584, I585, I586, I587) -> f2#(I563, I588, 0, 0, I565, I589, I590, 0, 0, 0, I591, I592, I593, I594, I565, I566, I566, I595, I567, I568, I596, I597, I569, I598, I599) [I589 = I590 /\ I569 + 3 <= I564 /\ I568 + 5 <= I564 /\ 9 <= I588 - 1 /\ 9 <= I564 - 1] R = init(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25) -> f3(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13, rnd14, rnd15, rnd16, rnd17, rnd18, rnd19, rnd20, rnd21, rnd22, rnd23, rnd24, rnd25) f8(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24) -> f8(I25, I1 - 1, 0, 1, 1, I26, I27, I7, I28, I9, I29, I11, 0, I30, 2, I31, I32, I33, I34, I19 + 1, I20 + 1, I35, I36, I37, I24 + 1) [0 <= I1 - 1 /\ -1 <= y1 - 1 /\ 0 <= I5 - 1 /\ 0 <= I2 - 1 /\ -1 <= I19 - 1 /\ I19 <= y1 - 1 /\ 0 <= I9 - 1 /\ 0 <= I11 - 1 /\ -1 <= y2 - 1 /\ 0 <= I18 - 1 /\ 0 <= I17 - 1 /\ 0 <= I16 - 1 /\ 0 <= I7 - 1 /\ -1 <= I24 - 1 /\ -1 <= I20 - 1 /\ 11 <= I0 - 1 /\ 13 <= I25 - 1 /\ I20 + 5 <= I0 /\ I21 + 9 <= I0 /\ I22 + 9 <= I0 /\ I24 + 3 <= I0 /\ I23 + 9 <= I0 /\ I7 = I8 /\ I9 = I10 /\ I11 = I12 /\ I6 = I15] f8(I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f8(I63, I39 - 1, I40, I64, I65, I43, I44, I45, I66, I47, I67, I49, I68, I69, I70, I71, I72, I73, I74, I57 + 1, I58 + 1, I75, I76, I77, I62 + 1) [0 <= I39 - 1 /\ -1 <= I78 - 1 /\ 0 <= I43 - 1 /\ 0 <= I40 - 1 /\ -1 <= I57 - 1 /\ I57 <= I78 - 1 /\ 0 <= I47 - 1 /\ 0 <= I41 - 1 /\ 0 <= I50 - 1 /\ 0 <= I48 - 1 /\ 0 <= I49 - 1 /\ -1 <= I79 - 1 /\ 0 <= I46 - 1 /\ 0 <= I42 - 1 /\ 0 <= I56 - 1 /\ 0 <= I51 - 1 /\ 0 <= I55 - 1 /\ 0 <= I54 - 1 /\ 0 <= I52 - 1 /\ 0 <= I53 - 1 /\ -1 <= I62 - 1 /\ -1 <= I58 - 1 /\ 9 <= I38 - 1 /\ 9 <= I63 - 1 /\ I58 + 5 <= I38 /\ I59 + 9 <= I38 /\ I60 + 9 <= I38 /\ I62 + 3 <= I38 /\ I61 + 9 <= I38] f2(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104) -> f8(I105, I80, I92, I90, I86, I91, I85, I106, I82, I93, I84, 0, I83, I87, I88, I89, I94, I95, I96, I98, I99, I107, I108, I109, I102) [I101 + 9 <= I81 /\ I102 + 3 <= I81 /\ I100 + 9 <= I81 /\ I99 + 5 <= I81 /\ 11 <= I105 - 1 /\ 11 <= I81 - 1] f3(I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134) -> f1(I135, I136, I137, I138, 1, 0, 0, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156) [7 <= I136 - 1 /\ 0 <= I110 - 1 /\ I136 - 7 <= I110 /\ 0 <= I111 - 1 /\ -1 <= I135 - 1] f6(I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181) -> f7(I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) [I159 + 2 <= I157 /\ I160 + 2 <= I157 /\ 0 <= I182 - 1 /\ 2 <= I157 - 1 /\ 0 <= I158 - 1 /\ I182 + 2 <= I157] f4(I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231) -> f7(I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256) [I257 <= I208 - 1 /\ -1 <= I208 - 1 /\ I258 <= I209 - 1 /\ -1 <= I209 - 1 /\ 0 <= I258 - 1 /\ 0 <= I210 - 1 /\ I232 + 6 <= I207 /\ I233 + 7 <= I207 /\ 6 <= I207 - 1 /\ 0 <= I232 - 1 /\ -1 <= I233 - 1 /\ I210 + 5 <= I207 /\ I211 + 7 <= I207 /\ I213 + 3 <= I207 /\ I212 + 7 <= I207] f4(I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283) -> f7(I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307, I308) [I309 <= I260 - 1 /\ -1 <= I260 - 1 /\ I310 <= I261 - 1 /\ 0 <= I262 - 1 /\ -1 <= I261 - 1 /\ I284 + 6 <= I259 /\ I285 + 7 <= I259 /\ 6 <= I259 - 1 /\ 0 <= I284 - 1 /\ -1 <= I285 - 1 /\ I262 + 5 <= I259 /\ I263 + 7 <= I259 /\ I265 + 3 <= I259 /\ I264 + 7 <= I259] f6(I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335) -> f7(I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360) [I313 + 2 <= I311 /\ I314 + 2 <= I311 /\ 0 <= I336 - 1 /\ 2 <= I311 - 1 /\ I336 + 2 <= I311] f4(I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379, I380, I381, I382, I383, I384, I385) -> f6(I386, I387, I388, I389, I390, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410) [-1 <= I362 - 1 /\ 0 <= I411 - 1 /\ I411 <= I362 - 1 /\ I412 <= I363 - 1 /\ -1 <= I363 - 1 /\ 0 <= I364 - 1 /\ I411 <= y3 - 1 /\ I387 <= y3 - 1 /\ -1 <= y3 - 1 /\ 6 <= I361 - 1 /\ 2 <= I386 - 1 /\ I364 + 5 <= I361 /\ I365 + 7 <= I361 /\ I367 + 3 <= I361 /\ I366 + 7 <= I361] f4(I413, I414, I415, I416, I417, I418, I419, I420, I421, I422, I423, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I435, I436, I437) -> f6(I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450, I451, I452, I453, I454, I455, I456, I457, I458, I459, I460, I461, I462) [-1 <= I414 - 1 /\ 0 <= I463 - 1 /\ I463 <= I414 - 1 /\ I464 <= I415 - 1 /\ -1 <= I415 - 1 /\ 0 <= I416 - 1 /\ I463 <= I465 - 1 /\ 0 <= I464 - 1 /\ I439 <= I465 - 1 /\ -1 <= I465 - 1 /\ 6 <= I413 - 1 /\ 2 <= I438 - 1 /\ I416 + 5 <= I413 /\ I417 + 7 <= I413 /\ I419 + 3 <= I413 /\ I418 + 7 <= I413] f5(I466, I467, I468, I469, I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485, I486, I487, I488, I489, I490) -> f4(I491, I467, I468, I469, I492, I493, I472, I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508, I509, I510, I511) [I471 + 7 <= I466 /\ I472 + 3 <= I466 /\ I470 + 7 <= I466 /\ I469 + 5 <= I466 /\ 6 <= I491 - 1 /\ 6 <= I466 - 1] f3(I512, I513, I514, I515, I516, I517, I518, I519, I520, I521, I522, I523, I524, I525, I526, I527, I528, I529, I530, I531, I532, I533, I534, I535, I536) -> f4(I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556, I557, I558, I559, I560, I561) [-1 <= I562 - 1 /\ 0 <= I513 - 1 /\ 0 <= I512 - 1 /\ 6 <= I537 - 1] f1(I563, I564, I565, I566, I567, I568, I569, I570, I571, I572, I573, I574, I575, I576, I577, I578, I579, I580, I581, I582, I583, I584, I585, I586, I587) -> f2(I563, I588, 0, 0, I565, I589, I590, 0, 0, 0, I591, I592, I593, I594, I565, I566, I566, I595, I567, I568, I596, I597, I569, I598, I599) [I589 = I590 /\ I569 + 3 <= I564 /\ I568 + 5 <= I564 /\ 9 <= I588 - 1 /\ 9 <= I564 - 1] The dependency graph for this problem is: 0 -> 4, 8 1 -> 2 -> 1, 2 3 -> 4 -> 9 5 -> 6 -> 7 -> 5, 6 8 -> 5, 6 9 -> 3 Where: 0) init#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25) -> f3#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13, rnd14, rnd15, rnd16, rnd17, rnd18, rnd19, rnd20, rnd21, rnd22, rnd23, rnd24, rnd25) 1) f8#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24) -> f8#(I25, I1 - 1, 0, 1, 1, I26, I27, I7, I28, I9, I29, I11, 0, I30, 2, I31, I32, I33, I34, I19 + 1, I20 + 1, I35, I36, I37, I24 + 1) [0 <= I1 - 1 /\ -1 <= y1 - 1 /\ 0 <= I5 - 1 /\ 0 <= I2 - 1 /\ -1 <= I19 - 1 /\ I19 <= y1 - 1 /\ 0 <= I9 - 1 /\ 0 <= I11 - 1 /\ -1 <= y2 - 1 /\ 0 <= I18 - 1 /\ 0 <= I17 - 1 /\ 0 <= I16 - 1 /\ 0 <= I7 - 1 /\ -1 <= I24 - 1 /\ -1 <= I20 - 1 /\ 11 <= I0 - 1 /\ 13 <= I25 - 1 /\ I20 + 5 <= I0 /\ I21 + 9 <= I0 /\ I22 + 9 <= I0 /\ I24 + 3 <= I0 /\ I23 + 9 <= I0 /\ I7 = I8 /\ I9 = I10 /\ I11 = I12 /\ I6 = I15] 2) f8#(I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f8#(I63, I39 - 1, I40, I64, I65, I43, I44, I45, I66, I47, I67, I49, I68, I69, I70, I71, I72, I73, I74, I57 + 1, I58 + 1, I75, I76, I77, I62 + 1) [0 <= I39 - 1 /\ -1 <= I78 - 1 /\ 0 <= I43 - 1 /\ 0 <= I40 - 1 /\ -1 <= I57 - 1 /\ I57 <= I78 - 1 /\ 0 <= I47 - 1 /\ 0 <= I41 - 1 /\ 0 <= I50 - 1 /\ 0 <= I48 - 1 /\ 0 <= I49 - 1 /\ -1 <= I79 - 1 /\ 0 <= I46 - 1 /\ 0 <= I42 - 1 /\ 0 <= I56 - 1 /\ 0 <= I51 - 1 /\ 0 <= I55 - 1 /\ 0 <= I54 - 1 /\ 0 <= I52 - 1 /\ 0 <= I53 - 1 /\ -1 <= I62 - 1 /\ -1 <= I58 - 1 /\ 9 <= I38 - 1 /\ 9 <= I63 - 1 /\ I58 + 5 <= I38 /\ I59 + 9 <= I38 /\ I60 + 9 <= I38 /\ I62 + 3 <= I38 /\ I61 + 9 <= I38] 3) f2#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104) -> f8#(I105, I80, I92, I90, I86, I91, I85, I106, I82, I93, I84, 0, I83, I87, I88, I89, I94, I95, I96, I98, I99, I107, I108, I109, I102) [I101 + 9 <= I81 /\ I102 + 3 <= I81 /\ I100 + 9 <= I81 /\ I99 + 5 <= I81 /\ 11 <= I105 - 1 /\ 11 <= I81 - 1] 4) f3#(I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134) -> f1#(I135, I136, I137, I138, 1, 0, 0, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156) [7 <= I136 - 1 /\ 0 <= I110 - 1 /\ I136 - 7 <= I110 /\ 0 <= I111 - 1 /\ -1 <= I135 - 1] 5) f4#(I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379, I380, I381, I382, I383, I384, I385) -> f6#(I386, I387, I388, I389, I390, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410) [-1 <= I362 - 1 /\ 0 <= I411 - 1 /\ I411 <= I362 - 1 /\ I412 <= I363 - 1 /\ -1 <= I363 - 1 /\ 0 <= I364 - 1 /\ I411 <= y3 - 1 /\ I387 <= y3 - 1 /\ -1 <= y3 - 1 /\ 6 <= I361 - 1 /\ 2 <= I386 - 1 /\ I364 + 5 <= I361 /\ I365 + 7 <= I361 /\ I367 + 3 <= I361 /\ I366 + 7 <= I361] 6) f4#(I413, I414, I415, I416, I417, I418, I419, I420, I421, I422, I423, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I435, I436, I437) -> f6#(I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450, I451, I452, I453, I454, I455, I456, I457, I458, I459, I460, I461, I462) [-1 <= I414 - 1 /\ 0 <= I463 - 1 /\ I463 <= I414 - 1 /\ I464 <= I415 - 1 /\ -1 <= I415 - 1 /\ 0 <= I416 - 1 /\ I463 <= I465 - 1 /\ 0 <= I464 - 1 /\ I439 <= I465 - 1 /\ -1 <= I465 - 1 /\ 6 <= I413 - 1 /\ 2 <= I438 - 1 /\ I416 + 5 <= I413 /\ I417 + 7 <= I413 /\ I419 + 3 <= I413 /\ I418 + 7 <= I413] 7) f5#(I466, I467, I468, I469, I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485, I486, I487, I488, I489, I490) -> f4#(I491, I467, I468, I469, I492, I493, I472, I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508, I509, I510, I511) [I471 + 7 <= I466 /\ I472 + 3 <= I466 /\ I470 + 7 <= I466 /\ I469 + 5 <= I466 /\ 6 <= I491 - 1 /\ 6 <= I466 - 1] 8) f3#(I512, I513, I514, I515, I516, I517, I518, I519, I520, I521, I522, I523, I524, I525, I526, I527, I528, I529, I530, I531, I532, I533, I534, I535, I536) -> f4#(I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556, I557, I558, I559, I560, I561) [-1 <= I562 - 1 /\ 0 <= I513 - 1 /\ 0 <= I512 - 1 /\ 6 <= I537 - 1] 9) f1#(I563, I564, I565, I566, I567, I568, I569, I570, I571, I572, I573, I574, I575, I576, I577, I578, I579, I580, I581, I582, I583, I584, I585, I586, I587) -> f2#(I563, I588, 0, 0, I565, I589, I590, 0, 0, 0, I591, I592, I593, I594, I565, I566, I566, I595, I567, I568, I596, I597, I569, I598, I599) [I589 = I590 /\ I569 + 3 <= I564 /\ I568 + 5 <= I564 /\ 9 <= I588 - 1 /\ 9 <= I564 - 1] We have the following SCCs. { 2 } DP problem for innermost termination. P = f8#(I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f8#(I63, I39 - 1, I40, I64, I65, I43, I44, I45, I66, I47, I67, I49, I68, I69, I70, I71, I72, I73, I74, I57 + 1, I58 + 1, I75, I76, I77, I62 + 1) [0 <= I39 - 1 /\ -1 <= I78 - 1 /\ 0 <= I43 - 1 /\ 0 <= I40 - 1 /\ -1 <= I57 - 1 /\ I57 <= I78 - 1 /\ 0 <= I47 - 1 /\ 0 <= I41 - 1 /\ 0 <= I50 - 1 /\ 0 <= I48 - 1 /\ 0 <= I49 - 1 /\ -1 <= I79 - 1 /\ 0 <= I46 - 1 /\ 0 <= I42 - 1 /\ 0 <= I56 - 1 /\ 0 <= I51 - 1 /\ 0 <= I55 - 1 /\ 0 <= I54 - 1 /\ 0 <= I52 - 1 /\ 0 <= I53 - 1 /\ -1 <= I62 - 1 /\ -1 <= I58 - 1 /\ 9 <= I38 - 1 /\ 9 <= I63 - 1 /\ I58 + 5 <= I38 /\ I59 + 9 <= I38 /\ I60 + 9 <= I38 /\ I62 + 3 <= I38 /\ I61 + 9 <= I38] R = init(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25) -> f3(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13, rnd14, rnd15, rnd16, rnd17, rnd18, rnd19, rnd20, rnd21, rnd22, rnd23, rnd24, rnd25) f8(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24) -> f8(I25, I1 - 1, 0, 1, 1, I26, I27, I7, I28, I9, I29, I11, 0, I30, 2, I31, I32, I33, I34, I19 + 1, I20 + 1, I35, I36, I37, I24 + 1) [0 <= I1 - 1 /\ -1 <= y1 - 1 /\ 0 <= I5 - 1 /\ 0 <= I2 - 1 /\ -1 <= I19 - 1 /\ I19 <= y1 - 1 /\ 0 <= I9 - 1 /\ 0 <= I11 - 1 /\ -1 <= y2 - 1 /\ 0 <= I18 - 1 /\ 0 <= I17 - 1 /\ 0 <= I16 - 1 /\ 0 <= I7 - 1 /\ -1 <= I24 - 1 /\ -1 <= I20 - 1 /\ 11 <= I0 - 1 /\ 13 <= I25 - 1 /\ I20 + 5 <= I0 /\ I21 + 9 <= I0 /\ I22 + 9 <= I0 /\ I24 + 3 <= I0 /\ I23 + 9 <= I0 /\ I7 = I8 /\ I9 = I10 /\ I11 = I12 /\ I6 = I15] f8(I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f8(I63, I39 - 1, I40, I64, I65, I43, I44, I45, I66, I47, I67, I49, I68, I69, I70, I71, I72, I73, I74, I57 + 1, I58 + 1, I75, I76, I77, I62 + 1) [0 <= I39 - 1 /\ -1 <= I78 - 1 /\ 0 <= I43 - 1 /\ 0 <= I40 - 1 /\ -1 <= I57 - 1 /\ I57 <= I78 - 1 /\ 0 <= I47 - 1 /\ 0 <= I41 - 1 /\ 0 <= I50 - 1 /\ 0 <= I48 - 1 /\ 0 <= I49 - 1 /\ -1 <= I79 - 1 /\ 0 <= I46 - 1 /\ 0 <= I42 - 1 /\ 0 <= I56 - 1 /\ 0 <= I51 - 1 /\ 0 <= I55 - 1 /\ 0 <= I54 - 1 /\ 0 <= I52 - 1 /\ 0 <= I53 - 1 /\ -1 <= I62 - 1 /\ -1 <= I58 - 1 /\ 9 <= I38 - 1 /\ 9 <= I63 - 1 /\ I58 + 5 <= I38 /\ I59 + 9 <= I38 /\ I60 + 9 <= I38 /\ I62 + 3 <= I38 /\ I61 + 9 <= I38] f2(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104) -> f8(I105, I80, I92, I90, I86, I91, I85, I106, I82, I93, I84, 0, I83, I87, I88, I89, I94, I95, I96, I98, I99, I107, I108, I109, I102) [I101 + 9 <= I81 /\ I102 + 3 <= I81 /\ I100 + 9 <= I81 /\ I99 + 5 <= I81 /\ 11 <= I105 - 1 /\ 11 <= I81 - 1] f3(I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134) -> f1(I135, I136, I137, I138, 1, 0, 0, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156) [7 <= I136 - 1 /\ 0 <= I110 - 1 /\ I136 - 7 <= I110 /\ 0 <= I111 - 1 /\ -1 <= I135 - 1] f6(I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181) -> f7(I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) [I159 + 2 <= I157 /\ I160 + 2 <= I157 /\ 0 <= I182 - 1 /\ 2 <= I157 - 1 /\ 0 <= I158 - 1 /\ I182 + 2 <= I157] f4(I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231) -> f7(I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256) [I257 <= I208 - 1 /\ -1 <= I208 - 1 /\ I258 <= I209 - 1 /\ -1 <= I209 - 1 /\ 0 <= I258 - 1 /\ 0 <= I210 - 1 /\ I232 + 6 <= I207 /\ I233 + 7 <= I207 /\ 6 <= I207 - 1 /\ 0 <= I232 - 1 /\ -1 <= I233 - 1 /\ I210 + 5 <= I207 /\ I211 + 7 <= I207 /\ I213 + 3 <= I207 /\ I212 + 7 <= I207] f4(I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283) -> f7(I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307, I308) [I309 <= I260 - 1 /\ -1 <= I260 - 1 /\ I310 <= I261 - 1 /\ 0 <= I262 - 1 /\ -1 <= I261 - 1 /\ I284 + 6 <= I259 /\ I285 + 7 <= I259 /\ 6 <= I259 - 1 /\ 0 <= I284 - 1 /\ -1 <= I285 - 1 /\ I262 + 5 <= I259 /\ I263 + 7 <= I259 /\ I265 + 3 <= I259 /\ I264 + 7 <= I259] f6(I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335) -> f7(I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360) [I313 + 2 <= I311 /\ I314 + 2 <= I311 /\ 0 <= I336 - 1 /\ 2 <= I311 - 1 /\ I336 + 2 <= I311] f4(I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379, I380, I381, I382, I383, I384, I385) -> f6(I386, I387, I388, I389, I390, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410) [-1 <= I362 - 1 /\ 0 <= I411 - 1 /\ I411 <= I362 - 1 /\ I412 <= I363 - 1 /\ -1 <= I363 - 1 /\ 0 <= I364 - 1 /\ I411 <= y3 - 1 /\ I387 <= y3 - 1 /\ -1 <= y3 - 1 /\ 6 <= I361 - 1 /\ 2 <= I386 - 1 /\ I364 + 5 <= I361 /\ I365 + 7 <= I361 /\ I367 + 3 <= I361 /\ I366 + 7 <= I361] f4(I413, I414, I415, I416, I417, I418, I419, I420, I421, I422, I423, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I435, I436, I437) -> f6(I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450, I451, I452, I453, I454, I455, I456, I457, I458, I459, I460, I461, I462) [-1 <= I414 - 1 /\ 0 <= I463 - 1 /\ I463 <= I414 - 1 /\ I464 <= I415 - 1 /\ -1 <= I415 - 1 /\ 0 <= I416 - 1 /\ I463 <= I465 - 1 /\ 0 <= I464 - 1 /\ I439 <= I465 - 1 /\ -1 <= I465 - 1 /\ 6 <= I413 - 1 /\ 2 <= I438 - 1 /\ I416 + 5 <= I413 /\ I417 + 7 <= I413 /\ I419 + 3 <= I413 /\ I418 + 7 <= I413] f5(I466, I467, I468, I469, I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485, I486, I487, I488, I489, I490) -> f4(I491, I467, I468, I469, I492, I493, I472, I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508, I509, I510, I511) [I471 + 7 <= I466 /\ I472 + 3 <= I466 /\ I470 + 7 <= I466 /\ I469 + 5 <= I466 /\ 6 <= I491 - 1 /\ 6 <= I466 - 1] f3(I512, I513, I514, I515, I516, I517, I518, I519, I520, I521, I522, I523, I524, I525, I526, I527, I528, I529, I530, I531, I532, I533, I534, I535, I536) -> f4(I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556, I557, I558, I559, I560, I561) [-1 <= I562 - 1 /\ 0 <= I513 - 1 /\ 0 <= I512 - 1 /\ 6 <= I537 - 1] f1(I563, I564, I565, I566, I567, I568, I569, I570, I571, I572, I573, I574, I575, I576, I577, I578, I579, I580, I581, I582, I583, I584, I585, I586, I587) -> f2(I563, I588, 0, 0, I565, I589, I590, 0, 0, 0, I591, I592, I593, I594, I565, I566, I566, I595, I567, I568, I596, I597, I569, I598, I599) [I589 = I590 /\ I569 + 3 <= I564 /\ I568 + 5 <= I564 /\ 9 <= I588 - 1 /\ 9 <= I564 - 1] We use the basic value criterion with the projection function NU: NU[f8#(z1,z2,z3,z4,z5,z6,z7,z8,z9,z10,z11,z12,z13,z14,z15,z16,z17,z18,z19,z20,z21,z22,z23,z24,z25)] = z2 This gives the following inequalities: 0 <= I39 - 1 /\ -1 <= I78 - 1 /\ 0 <= I43 - 1 /\ 0 <= I40 - 1 /\ -1 <= I57 - 1 /\ I57 <= I78 - 1 /\ 0 <= I47 - 1 /\ 0 <= I41 - 1 /\ 0 <= I50 - 1 /\ 0 <= I48 - 1 /\ 0 <= I49 - 1 /\ -1 <= I79 - 1 /\ 0 <= I46 - 1 /\ 0 <= I42 - 1 /\ 0 <= I56 - 1 /\ 0 <= I51 - 1 /\ 0 <= I55 - 1 /\ 0 <= I54 - 1 /\ 0 <= I52 - 1 /\ 0 <= I53 - 1 /\ -1 <= I62 - 1 /\ -1 <= I58 - 1 /\ 9 <= I38 - 1 /\ 9 <= I63 - 1 /\ I58 + 5 <= I38 /\ I59 + 9 <= I38 /\ I60 + 9 <= I38 /\ I62 + 3 <= I38 /\ I61 + 9 <= I38 ==> I39 >! I39 - 1 All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed. popout

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