details

property	value
status	complete
benchmark	juHashMapCreatePut.jar-obl-10.smt2
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n093.star.cs.uiowa.edu
space	From_AProVE_2014

run statistics

property	value
solver	Ctrl
configuration	Transition
runtime (wallclock)	85.4049727917 seconds
cpu usage	89.613761107
max memory	2.500608E7

stage attributes

key	value
output-size	86423
starexec-result	YES

output

/export/starexec/sandbox/solver/bin/starexec_run_Transition /export/starexec/sandbox/benchmark/theBenchmark.smt2 /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES DP problem for innermost termination. P = init#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f1#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13) f9#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f8#(I13, I14, I15, I2 + 1, I7, I8, I12, I9, I16, I17, I18, I19, I20) [I11 + 2 <= I4 /\ I10 + 2 <= I4 /\ I8 + 3 <= I0 /\ I7 + 3 <= I0 /\ 0 <= I15 - 1 /\ 0 <= I14 - 1 /\ 3 <= I13 - 1 /\ 0 <= I5 - 1 /\ 1 <= I4 - 1 /\ -1 <= I3 - 1 /\ 0 <= I1 - 1 /\ 3 <= I0 - 1 /\ I15 <= I5 /\ I15 + 1 <= I4 /\ I15 - 1 <= I3 /\ I15 <= I1 /\ I15 + 3 <= I0 /\ I14 <= I5 /\ I14 + 1 <= I4 /\ I14 - 1 <= I3 /\ I14 <= I1 /\ I14 + 3 <= I0 /\ I13 <= I0 /\ I6 <= I12 - 1 /\ -1 <= I9 - 1] f8#(I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) -> f8#(I34, I35, I36, I24 + 1, I25, I26, I27, I28, I37, I38, I39, I40, I41) [I26 + 3 <= I21 /\ I25 + 3 <= I21 /\ 0 <= I36 - 1 /\ 0 <= I35 - 1 /\ 3 <= I34 - 1 /\ 0 <= I23 - 1 /\ 0 <= I22 - 1 /\ 3 <= I21 - 1 /\ I36 <= I23 /\ I36 <= I22 /\ I36 + 3 <= I21 /\ I35 <= I23 /\ I35 <= I22 /\ I35 + 3 <= I21 /\ I34 <= I21 /\ I24 <= I28 - 1 /\ -1 <= I28 - 1] f9#(I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f9#(I55, I56, I44, I57, I58, I59, I60, I49, I50, I51, I61, I62, I54) [I53 + 2 <= I46 /\ I62 + 4 <= I46 /\ I61 + 4 <= I46 /\ I52 + 2 <= I46 /\ I62 + 2 <= I45 /\ I61 + 2 <= I45 /\ I50 + 3 <= I42 /\ I49 + 3 <= I42 /\ 0 <= I59 - 1 /\ 0 <= I58 - 1 /\ -1 <= I57 - 1 /\ 0 <= I56 - 1 /\ 3 <= I55 - 1 /\ 0 <= I47 - 1 /\ 2 <= I46 - 1 /\ 0 <= I45 - 1 /\ 0 <= I43 - 1 /\ 3 <= I42 - 1 /\ I59 <= I47 /\ I59 + 2 <= I46 /\ I59 <= I45 /\ I59 <= I43 /\ I59 + 3 <= I42 /\ I58 + 2 <= I46 /\ I58 <= I45 /\ I57 + 3 <= I46 /\ I57 + 1 <= I45 /\ I56 <= I47 /\ I56 + 2 <= I46 /\ I56 <= I45 /\ I56 <= I43 /\ I56 + 3 <= I42 /\ I55 <= I42 /\ 0 <= I54 - 1 /\ I48 <= I54 - 1] f8#(I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f9#(I76, I77, I66, I78, I79, I80, I81, I67, I68, I70, I82, I83, I69) [I68 + 3 <= I63 /\ I67 + 3 <= I63 /\ 0 <= I80 - 1 /\ 0 <= I79 - 1 /\ -1 <= I78 - 1 /\ 0 <= I77 - 1 /\ 3 <= I76 - 1 /\ 0 <= I65 - 1 /\ 0 <= I64 - 1 /\ 3 <= I63 - 1 /\ I80 <= I65 /\ I80 <= I64 /\ I80 + 3 <= I63 /\ I77 <= I65 /\ I77 <= I64 /\ I77 + 3 <= I63 /\ I76 <= I63 /\ I66 <= I70 - 1 /\ 0 <= I69 - 1] f6#(I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96) -> f8#(I97, I98, I99, 0, I89 + 1, I90, 2 * I88, I88, I100, I101, I102, I103, I104) [I90 + 3 <= I84 /\ I89 + 3 <= I84 /\ 0 <= I99 - 1 /\ 0 <= I98 - 1 /\ 3 <= I97 - 1 /\ -1 <= I87 - 1 /\ 3 <= I84 - 1 /\ I99 - 1 <= I87 /\ I99 + 3 <= I84 /\ I98 - 1 <= I87 /\ I98 + 3 <= I84 /\ I97 - 1 <= I84 /\ I90 <= I89 /\ 0 <= 2 * I88 /\ 1073741824 <= I88 - 1 /\ I86 <= I88 - 1] f6#(I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117) -> f8#(I118, I119, I120, 0, I110 + 1, I111, 2 * I109, I109, I121, I122, I123, I124, I125) [I111 + 3 <= I105 /\ I110 + 3 <= I105 /\ 0 <= I120 - 1 /\ 0 <= I119 - 1 /\ 3 <= I118 - 1 /\ -1 <= I108 - 1 /\ 3 <= I105 - 1 /\ I120 - 1 <= I108 /\ I120 + 3 <= I105 /\ I119 - 1 <= I108 /\ I119 + 3 <= I105 /\ I118 - 1 <= I105 /\ I109 <= 1073741823 /\ 0 <= 2 * I109 /\ I111 <= I110 /\ 1 <= I109 - 1 /\ I107 <= I109 - 1] f7#(I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f6#(I139, I133, I127, I140, I130, I131, I132, I141, I142, I143, I144, I145, I146) [0 = I129 /\ I135 + 4 <= I128 /\ I133 + 2 <= I128 /\ I132 + 3 <= I126 /\ I131 + 3 <= I126 /\ -1 <= I140 - 1 /\ 3 <= I139 - 1 /\ -1 <= I134 - 1 /\ 2 <= I128 - 1 /\ 3 <= I126 - 1 /\ I140 <= I134 /\ I140 + 2 <= I128 /\ I139 <= I126] f6#(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) -> f6#(I160, I148, I149, I161, I151, I152, I153, I162, I163, I164, I165, I166, I167) [I148 + 2 <= I150 /\ I153 + 3 <= I147 /\ I152 + 3 <= I147 /\ -1 <= I161 - 1 /\ 3 <= I160 - 1 /\ 2 <= I150 - 1 /\ 3 <= I147 - 1 /\ I161 + 2 <= I150 /\ 1 <= I151 - 1 /\ I160 <= I147] f6#(I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180) -> f6#(I181, I169, I170, I182, I172, I173, I174, I183, I184, I185, I186, I187, I188) [I169 + 2 <= I171 /\ I174 + 3 <= I168 /\ I173 + 3 <= I168 /\ -1 <= I182 - 1 /\ 3 <= I181 - 1 /\ 1 <= I171 - 1 /\ 3 <= I168 - 1 /\ I182 + 2 <= I171 /\ 1 <= I172 - 1 /\ I181 <= I168] f6#(I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201) -> f6#(I202, I190, I191, I203, I193, I194, I195, I204, I205, I206, I207, I208, I209) [I202 <= I189 /\ I190 <= y1 - 1 /\ I203 + 1 <= I192 /\ 3 <= I189 - 1 /\ 0 <= I192 - 1 /\ 3 <= I202 - 1 /\ -1 <= I203 - 1 /\ I194 + 3 <= I189 /\ I195 + 3 <= I189] f6#(I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222) -> f6#(I223, I211, I212, I224, I214, I215, I216, I225, I226, I227, I228, I229, I230) [I223 <= I210 /\ I231 <= I211 - 1 /\ I224 + 1 <= I213 /\ 3 <= I210 - 1 /\ 0 <= I213 - 1 /\ 3 <= I223 - 1 /\ -1 <= I224 - 1 /\ I215 + 3 <= I210 /\ I216 + 3 <= I210] f6#(I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244) -> f7#(I245, I234, I246, 1, I236, I237, I238, I233, I247, I248, I249, I250, I251) [I248 + 4 <= I235 /\ I233 + 2 <= I235 /\ I238 + 3 <= I232 /\ I237 + 3 <= I232 /\ -1 <= I247 - 1 /\ 2 <= I246 - 1 /\ 3 <= I245 - 1 /\ 2 <= I235 - 1 /\ 3 <= I232 - 1 /\ I247 + 2 <= I235 /\ I246 <= I235 /\ 1 <= I236 - 1 /\ I245 <= I232] f6#(I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264) -> f7#(I265, I254, I266, 0, I256, I257, I258, I253, I267, I268, I269, I270, I271) [I268 + 4 <= I255 /\ I253 + 2 <= I255 /\ I258 + 3 <= I252 /\ I257 + 3 <= I252 /\ -1 <= I267 - 1 /\ 2 <= I266 - 1 /\ 3 <= I265 - 1 /\ 2 <= I255 - 1 /\ 3 <= I252 - 1 /\ I267 + 2 <= I255 /\ I266 <= I255 /\ 1 <= I256 - 1 /\ I265 <= I252] f5#(I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284) -> f6#(I285, I286, I287, I288, I273, I274, I275, I289, I290, I291, I292, I293, I294) [I274 + 3 <= I272 /\ I275 + 3 <= I272 /\ -1 <= I288 - 1 /\ 3 <= I285 - 1 /\ 3 <= I272 - 1 /\ I285 <= I272 /\ 1 <= I273 - 1 /\ I287 <= I273 - 1] f4#(I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307) -> f5#(I308, I299, I300, I301, I309, I310, I311, I312, I313, I314, I315, I316, I317) [0 <= I296 - 1 /\ I298 + 1 <= I297 - 1 /\ -1 <= I297 - 1 /\ -1 <= I298 - 1 /\ -1 <= I318 - 1 /\ -1 <= y2 - 1 /\ 1 <= I299 - 1 /\ I308 <= I295 /\ 3 <= I295 - 1 /\ 3 <= I308 - 1 /\ I301 + 3 <= I295 /\ I300 + 3 <= I295] f2#(I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331) -> f5#(I332, I321, I322, I323, I333, I334, I335, I336, I337, I338, I339, I340, I341) [-1 <= I342 - 1 /\ I342 + 1 <= I320 - 1 /\ -1 <= I343 - 1 /\ -1 <= y3 - 1 /\ 0 <= I320 - 1 /\ 1 <= I321 - 1 /\ I332 <= I319 /\ 3 <= I319 - 1 /\ 3 <= I332 - 1 /\ I323 + 3 <= I319 /\ I322 + 3 <= I319] f4#(I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356) -> f4#(I357, I345 - 1, I346, I347 + 2, I358, I359, I360, I361, I362, I363, I364, I365, I366) [0 <= I345 - 1 /\ I347 + 1 <= I346 - 1 /\ -1 <= I346 - 1 /\ -1 <= I347 - 1 /\ -1 <= I367 - 1 /\ -1 <= I368 - 1 /\ 1 <= I348 - 1 /\ 3 <= I344 - 1 /\ 3 <= I357 - 1 /\ I350 + 3 <= I344 /\ I349 + 3 <= I344] f1#(I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379, I380, I381) -> f4#(I382, I383, I370, 1, 16, 0, 12, I384, I385, I386, I387, I388, I389) [14 <= I382 - 1 /\ 0 <= I369 - 1 /\ I382 - 14 <= I369 /\ 0 <= I370 - 1 /\ -1 <= I383 - 1] f3#(I390, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400, I401, I402) -> f2#(I403, I404, 16, I394, 12, I405, I406, I407, I408, I409, I410, I411, I412) [12 = I395 /\ 16 = I393 /\ I394 + 3 <= I391 /\ 14 <= I403 - 1 /\ 14 <= I391 - 1 /\ 0 <= I390 - 1 /\ I403 <= I391] f1#(I413, I414, I415, I416, I417, I418, I419, I420, I421, I422, I423, I424, I425) -> f2#(I426, I414, I427, I428, I429, I430, I431, I432, I433, I434, I435, I436, I437) [-1 <= I438 - 1 /\ 0 <= I414 - 1 /\ 0 <= I413 - 1 /\ 3 <= I426 - 1] R = init(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13) f9(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f8(I13, I14, I15, I2 + 1, I7, I8, I12, I9, I16, I17, I18, I19, I20) [I11 + 2 <= I4 /\ I10 + 2 <= I4 /\ I8 + 3 <= I0 /\ I7 + 3 <= I0 /\ 0 <= I15 - 1 /\ 0 <= I14 - 1 /\ 3 <= I13 - 1 /\ 0 <= I5 - 1 /\ 1 <= I4 - 1 /\ -1 <= I3 - 1 /\ 0 <= I1 - 1 /\ 3 <= I0 - 1 /\ I15 <= I5 /\ I15 + 1 <= I4 /\ I15 - 1 <= I3 /\ I15 <= I1 /\ I15 + 3 <= I0 /\ I14 <= I5 /\ I14 + 1 <= I4 /\ I14 - 1 <= I3 /\ I14 <= I1 /\ I14 + 3 <= I0 /\ I13 <= I0 /\ I6 <= I12 - 1 /\ -1 <= I9 - 1] f8(I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) -> f8(I34, I35, I36, I24 + 1, I25, I26, I27, I28, I37, I38, I39, I40, I41) [I26 + 3 <= I21 /\ I25 + 3 <= I21 /\ 0 <= I36 - 1 /\ 0 <= I35 - 1 /\ 3 <= I34 - 1 /\ 0 <= I23 - 1 /\ 0 <= I22 - 1 /\ 3 <= I21 - 1 /\ I36 <= I23 /\ I36 <= I22 /\ I36 + 3 <= I21 /\ I35 <= I23 /\ I35 <= I22 /\ I35 + 3 <= I21 /\ I34 <= I21 /\ I24 <= I28 - 1 /\ -1 <= I28 - 1] f9(I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f9(I55, I56, I44, I57, I58, I59, I60, I49, I50, I51, I61, I62, I54) [I53 + 2 <= I46 /\ I62 + 4 <= I46 /\ I61 + 4 <= I46 /\ I52 + 2 <= I46 /\ I62 + 2 <= I45 /\ I61 + 2 <= I45 /\ I50 + 3 <= I42 /\ I49 + 3 <= I42 /\ 0 <= I59 - 1 /\ 0 <= I58 - 1 /\ -1 <= I57 - 1 /\ 0 <= I56 - 1 /\ 3 <= I55 - 1 /\ 0 <= I47 - 1 /\ 2 <= I46 - 1 /\ 0 <= I45 - 1 /\ 0 <= I43 - 1 /\ 3 <= I42 - 1 /\ I59 <= I47 /\ I59 + 2 <= I46 /\ I59 <= I45 /\ I59 <= I43 /\ I59 + 3 <= I42 /\ I58 + 2 <= I46 /\ I58 <= I45 /\ I57 + 3 <= I46 /\ I57 + 1 <= I45 /\ I56 <= I47 /\ I56 + 2 <= I46 /\ I56 <= I45 /\ I56 <= I43 /\ I56 + 3 <= I42 /\ I55 <= I42 /\ 0 <= I54 - 1 /\ I48 <= I54 - 1] f8(I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f9(I76, I77, I66, I78, I79, I80, I81, I67, I68, I70, I82, I83, I69) [I68 + 3 <= I63 /\ I67 + 3 <= I63 /\ 0 <= I80 - 1 /\ 0 <= I79 - 1 /\ -1 <= I78 - 1 /\ 0 <= I77 - 1 /\ 3 <= I76 - 1 /\ 0 <= I65 - 1 /\ 0 <= I64 - 1 /\ 3 <= I63 - 1 /\ I80 <= I65 /\ I80 <= I64 /\ I80 + 3 <= I63 /\ I77 <= I65 /\ I77 <= I64 /\ I77 + 3 <= I63 /\ I76 <= I63 /\ I66 <= I70 - 1 /\ 0 <= I69 - 1] f6(I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96) -> f8(I97, I98, I99, 0, I89 + 1, I90, 2 * I88, I88, I100, I101, I102, I103, I104) [I90 + 3 <= I84 /\ I89 + 3 <= I84 /\ 0 <= I99 - 1 /\ 0 <= I98 - 1 /\ 3 <= I97 - 1 /\ -1 <= I87 - 1 /\ 3 <= I84 - 1 /\ I99 - 1 <= I87 /\ I99 + 3 <= I84 /\ I98 - 1 <= I87 /\ I98 + 3 <= I84 /\ I97 - 1 <= I84 /\ I90 <= I89 /\ 0 <= 2 * I88 /\ 1073741824 <= I88 - 1 /\ I86 <= I88 - 1] f6(I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117) -> f8(I118, I119, I120, 0, I110 + 1, I111, 2 * I109, I109, I121, I122, I123, I124, I125) [I111 + 3 <= I105 /\ I110 + 3 <= I105 /\ 0 <= I120 - 1 /\ 0 <= I119 - 1 /\ 3 <= I118 - 1 /\ -1 <= I108 - 1 /\ 3 <= I105 - 1 /\ I120 - 1 <= I108 /\ I120 + 3 <= I105 /\ I119 - 1 <= I108 /\ I119 + 3 <= I105 /\ I118 - 1 <= I105 /\ I109 <= 1073741823 /\ 0 <= 2 * I109 /\ I111 <= I110 /\ 1 <= I109 - 1 /\ I107 <= I109 - 1] f7(I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f6(I139, I133, I127, I140, I130, I131, I132, I141, I142, I143, I144, I145, I146) [0 = I129 /\ I135 + 4 <= I128 /\ I133 + 2 <= I128 /\ I132 + 3 <= I126 /\ I131 + 3 <= I126 /\ -1 <= I140 - 1 /\ 3 <= I139 - 1 /\ -1 <= I134 - 1 /\ 2 <= I128 - 1 /\ 3 <= I126 - 1 /\ I140 <= I134 /\ I140 + 2 <= I128 /\ I139 <= I126] f6(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) -> f6(I160, I148, I149, I161, I151, I152, I153, I162, I163, I164, I165, I166, I167) [I148 + 2 <= I150 /\ I153 + 3 <= I147 /\ I152 + 3 <= I147 /\ -1 <= I161 - 1 /\ 3 <= I160 - 1 /\ 2 <= I150 - 1 /\ 3 <= I147 - 1 /\ I161 + 2 <= I150 /\ 1 <= I151 - 1 /\ I160 <= I147] f6(I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180) -> f6(I181, I169, I170, I182, I172, I173, I174, I183, I184, I185, I186, I187, I188) [I169 + 2 <= I171 /\ I174 + 3 <= I168 /\ I173 + 3 <= I168 /\ -1 <= I182 - 1 /\ 3 <= I181 - 1 /\ 1 <= I171 - 1 /\ 3 <= I168 - 1 /\ I182 + 2 <= I171 /\ 1 <= I172 - 1 /\ I181 <= I168] f6(I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201) -> f6(I202, I190, I191, I203, I193, I194, I195, I204, I205, I206, I207, I208, I209) [I202 <= I189 /\ I190 <= y1 - 1 /\ I203 + 1 <= I192 /\ 3 <= I189 - 1 /\ 0 <= I192 - 1 /\ 3 <= I202 - 1 /\ -1 <= I203 - 1 /\ I194 + 3 <= I189 /\ I195 + 3 <= I189] f6(I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222) -> f6(I223, I211, I212, I224, I214, I215, I216, I225, I226, I227, I228, I229, I230) [I223 <= I210 /\ I231 <= I211 - 1 /\ I224 + 1 <= I213 /\ 3 <= I210 - 1 /\ 0 <= I213 - 1 /\ 3 <= I223 - 1 /\ -1 <= I224 - 1 /\ I215 + 3 <= I210 /\ I216 + 3 <= I210] f6(I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244) -> f7(I245, I234, I246, 1, I236, I237, I238, I233, I247, I248, I249, I250, I251) [I248 + 4 <= I235 /\ I233 + 2 <= I235 /\ I238 + 3 <= I232 /\ I237 + 3 <= I232 /\ -1 <= I247 - 1 /\ 2 <= I246 - 1 /\ 3 <= I245 - 1 /\ 2 <= I235 - 1 /\ 3 <= I232 - 1 /\ I247 + 2 <= I235 /\ I246 <= I235 /\ 1 <= I236 - 1 /\ I245 <= I232] f6(I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264) -> f7(I265, I254, I266, 0, I256, I257, I258, I253, I267, I268, I269, I270, I271) [I268 + 4 <= I255 /\ I253 + 2 <= I255 /\ I258 + 3 <= I252 /\ I257 + 3 <= I252 /\ -1 <= I267 - 1 /\ 2 <= I266 - 1 /\ 3 <= I265 - 1 /\ 2 <= I255 - 1 /\ 3 <= I252 - 1 /\ I267 + 2 <= I255 /\ I266 <= I255 /\ 1 <= I256 - 1 /\ I265 <= I252] f5(I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284) -> f6(I285, I286, I287, I288, I273, I274, I275, I289, I290, I291, I292, I293, I294) [I274 + 3 <= I272 /\ I275 + 3 <= I272 /\ -1 <= I288 - 1 /\ 3 <= I285 - 1 /\ 3 <= I272 - 1 /\ I285 <= I272 /\ 1 <= I273 - 1 /\ I287 <= I273 - 1] f4(I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307) -> f5(I308, I299, I300, I301, I309, I310, I311, I312, I313, I314, I315, I316, I317) [0 <= I296 - 1 /\ I298 + 1 <= I297 - 1 /\ -1 <= I297 - 1 /\ -1 <= I298 - 1 /\ -1 <= I318 - 1 /\ -1 <= y2 - 1 /\ 1 <= I299 - 1 /\ I308 <= I295 /\ 3 <= I295 - 1 /\ 3 <= I308 - 1 /\ I301 + 3 <= I295 /\ I300 + 3 <= I295] f2(I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331) -> f5(I332, I321, I322, I323, I333, I334, I335, I336, I337, I338, I339, I340, I341) [-1 <= I342 - 1 /\ I342 + 1 <= I320 - 1 /\ -1 <= I343 - 1 /\ -1 <= y3 - 1 /\ 0 <= I320 - 1 /\ 1 <= I321 - 1 /\ I332 <= I319 /\ 3 <= I319 - 1 /\ 3 <= I332 - 1 /\ I323 + 3 <= I319 /\ I322 + 3 <= I319] f4(I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356) -> f4(I357, I345 - 1, I346, I347 + 2, I358, I359, I360, I361, I362, I363, I364, I365, I366) [0 <= I345 - 1 /\ I347 + 1 <= I346 - 1 /\ -1 <= I346 - 1 /\ -1 <= I347 - 1 /\ -1 <= I367 - 1 /\ -1 <= I368 - 1 /\ 1 <= I348 - 1 /\ 3 <= I344 - 1 /\ 3 <= I357 - 1 /\ I350 + 3 <= I344 /\ I349 + 3 <= I344] f1(I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379, I380, I381) -> f4(I382, I383, I370, 1, 16, 0, 12, I384, I385, I386, I387, I388, I389) [14 <= I382 - 1 /\ 0 <= I369 - 1 /\ I382 - 14 <= I369 /\ 0 <= I370 - 1 /\ -1 <= I383 - 1] f3(I390, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400, I401, I402) -> f2(I403, I404, 16, I394, 12, I405, I406, I407, I408, I409, I410, I411, I412) [12 = I395 /\ 16 = I393 /\ I394 + 3 <= I391 /\ 14 <= I403 - 1 /\ 14 <= I391 - 1 /\ 0 <= I390 - 1 /\ I403 <= I391] f1(I413, I414, I415, I416, I417, I418, I419, I420, I421, I422, I423, I424, I425) -> f2(I426, I414, I427, I428, I429, I430, I431, I432, I433, I434, I435, I436, I437) [-1 <= I438 - 1 /\ 0 <= I414 - 1 /\ 0 <= I413 - 1 /\ 3 <= I426 - 1] The dependency graph for this problem is: 0 -> 18, 20 1 -> 2, 4 2 -> 2, 4 3 -> 1, 3 4 -> 1, 3 5 -> 2, 4 6 -> 2, 4 7 -> 5, 6, 8, 9, 10, 11, 12, 13 8 -> 5, 6, 8, 9, 10, 11, 12, 13 9 -> 5, 6, 8, 9, 10, 11, 12, 13 10 -> 5, 6, 8, 9, 10, 11, 12, 13 11 -> 5, 6, 8, 9, 10, 11, 12, 13 12 -> 13 -> 7 14 -> 5, 6, 8, 9, 10, 11, 12, 13 15 -> 14 16 -> 14 17 -> 15, 17 18 -> 15, 17 19 -> 16 20 -> 16 Where: 0) init#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f1#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13) 1) f9#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f8#(I13, I14, I15, I2 + 1, I7, I8, I12, I9, I16, I17, I18, I19, I20) [I11 + 2 <= I4 /\ I10 + 2 <= I4 /\ I8 + 3 <= I0 /\ I7 + 3 <= I0 /\ 0 <= I15 - 1 /\ 0 <= I14 - 1 /\ 3 <= I13 - 1 /\ 0 <= I5 - 1 /\ 1 <= I4 - 1 /\ -1 <= I3 - 1 /\ 0 <= I1 - 1 /\ 3 <= I0 - 1 /\ I15 <= I5 /\ I15 + 1 <= I4 /\ I15 - 1 <= I3 /\ I15 <= I1 /\ I15 + 3 <= I0 /\ I14 <= I5 /\ I14 + 1 <= I4 /\ I14 - 1 <= I3 /\ I14 <= I1 /\ I14 + 3 <= I0 /\ I13 <= I0 /\ I6 <= I12 - 1 /\ -1 <= I9 - 1] 2) f8#(I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) -> f8#(I34, I35, I36, I24 + 1, I25, I26, I27, I28, I37, I38, I39, I40, I41) [I26 + 3 <= I21 /\ I25 + 3 <= I21 /\ 0 <= I36 - 1 /\ 0 <= I35 - 1 /\ 3 <= I34 - 1 /\ 0 <= I23 - 1 /\ 0 <= I22 - 1 /\ 3 <= I21 - 1 /\ I36 <= I23 /\ I36 <= I22 /\ I36 + 3 <= I21 /\ I35 <= I23 /\ I35 <= I22 /\ I35 + 3 <= I21 /\ I34 <= I21 /\ I24 <= I28 - 1 /\ -1 <= I28 - 1] 3) f9#(I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f9#(I55, I56, I44, I57, I58, I59, I60, I49, I50, I51, I61, I62, I54) [I53 + 2 <= I46 /\ I62 + 4 <= I46 /\ I61 + 4 <= I46 /\ I52 + 2 <= I46 /\ I62 + 2 <= I45 /\ I61 + 2 <= I45 /\ I50 + 3 <= I42 /\ I49 + 3 <= I42 /\ 0 <= I59 - 1 /\ 0 <= I58 - 1 /\ -1 <= I57 - 1 /\ 0 <= I56 - 1 /\ 3 <= I55 - 1 /\ 0 <= I47 - 1 /\ 2 <= I46 - 1 /\ 0 <= I45 - 1 /\ 0 <= I43 - 1 /\ 3 <= I42 - 1 /\ I59 <= I47 /\ I59 + 2 <= I46 /\ I59 <= I45 /\ I59 <= I43 /\ I59 + 3 <= I42 /\ I58 + 2 <= I46 /\ I58 <= I45 /\ I57 + 3 <= I46 /\ I57 + 1 <= I45 /\ I56 <= I47 /\ I56 + 2 <= I46 /\ I56 <= I45 /\ I56 <= I43 /\ I56 + 3 <= I42 /\ I55 <= I42 /\ 0 <= I54 - 1 /\ I48 <= I54 - 1] 4) f8#(I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f9#(I76, I77, I66, I78, I79, I80, I81, I67, I68, I70, I82, I83, I69) [I68 + 3 <= I63 /\ I67 + 3 <= I63 /\ 0 <= I80 - 1 /\ 0 <= I79 - 1 /\ -1 <= I78 - 1 /\ 0 <= I77 - 1 /\ 3 <= I76 - 1 /\ 0 <= I65 - 1 /\ 0 <= I64 - 1 /\ 3 <= I63 - 1 /\ I80 <= I65 /\ I80 <= I64 /\ I80 + 3 <= I63 /\ I77 <= I65 /\ I77 <= I64 /\ I77 + 3 <= I63 /\ I76 <= I63 /\ I66 <= I70 - 1 /\ 0 <= I69 - 1] 5) f6#(I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96) -> f8#(I97, I98, I99, 0, I89 + 1, I90, 2 * I88, I88, I100, I101, I102, I103, I104) [I90 + 3 <= I84 /\ I89 + 3 <= I84 /\ 0 <= I99 - 1 /\ 0 <= I98 - 1 /\ 3 <= I97 - 1 /\ -1 <= I87 - 1 /\ 3 <= I84 - 1 /\ I99 - 1 <= I87 /\ I99 + 3 <= I84 /\ I98 - 1 <= I87 /\ I98 + 3 <= I84 /\ I97 - 1 <= I84 /\ I90 <= I89 /\ 0 <= 2 * I88 /\ 1073741824 <= I88 - 1 /\ I86 <= I88 - 1] 6) f6#(I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117) -> f8#(I118, I119, I120, 0, I110 + 1, I111, 2 * I109, I109, I121, I122, I123, I124, I125) [I111 + 3 <= I105 /\ I110 + 3 <= I105 /\ 0 <= I120 - 1 /\ 0 <= I119 - 1 /\ 3 <= I118 - 1 /\ -1 <= I108 - 1 /\ 3 <= I105 - 1 /\ I120 - 1 <= I108 /\ I120 + 3 <= I105 /\ I119 - 1 <= I108 /\ I119 + 3 <= I105 /\ I118 - 1 <= I105 /\ I109 <= 1073741823 /\ 0 <= 2 * I109 /\ I111 <= I110 /\ 1 <= I109 - 1 /\ I107 <= I109 - 1] 7) f7#(I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f6#(I139, I133, I127, I140, I130, I131, I132, I141, I142, I143, I144, I145, I146) [0 = I129 /\ I135 + 4 <= I128 /\ I133 + 2 <= I128 /\ I132 + 3 <= I126 /\ I131 + 3 <= I126 /\ -1 <= I140 - 1 /\ 3 <= I139 - 1 /\ -1 <= I134 - 1 /\ 2 <= I128 - 1 /\ 3 <= I126 - 1 /\ I140 <= I134 /\ I140 + 2 <= I128 /\ I139 <= I126] 8) f6#(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) -> f6#(I160, I148, I149, I161, I151, I152, I153, I162, I163, I164, I165, I166, I167) [I148 + 2 <= I150 /\ I153 + 3 <= I147 /\ I152 + 3 <= I147 /\ -1 <= I161 - 1 /\ 3 <= I160 - 1 /\ 2 <= I150 - 1 /\ 3 <= I147 - 1 /\ I161 + 2 <= I150 /\ 1 <= I151 - 1 /\ I160 <= I147] 9) f6#(I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180) -> f6#(I181, I169, I170, I182, I172, I173, I174, I183, I184, I185, I186, I187, I188) [I169 + 2 <= I171 /\ I174 + 3 <= I168 /\ I173 + 3 <= I168 /\ -1 <= I182 - 1 /\ 3 <= I181 - 1 /\ 1 <= I171 - 1 /\ 3 <= I168 - 1 /\ I182 + 2 <= I171 /\ 1 <= I172 - 1 /\ I181 <= I168] 10) f6#(I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201) -> f6#(I202, I190, I191, I203, I193, I194, I195, I204, I205, I206, I207, I208, I209) [I202 <= I189 /\ I190 <= y1 - 1 /\ I203 + 1 <= I192 /\ 3 <= I189 - 1 /\ 0 <= I192 - 1 /\ 3 <= I202 - 1 /\ -1 <= I203 - 1 /\ I194 + 3 <= I189 /\ I195 + 3 <= I189] 11) f6#(I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222) -> f6#(I223, I211, I212, I224, I214, I215, I216, I225, I226, I227, I228, I229, I230) [I223 <= I210 /\ I231 <= I211 - 1 /\ I224 + 1 <= I213 /\ 3 <= I210 - 1 /\ 0 <= I213 - 1 /\ 3 <= I223 - 1 /\ -1 <= I224 - 1 /\ I215 + 3 <= I210 /\ I216 + 3 <= I210] 12) f6#(I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244) -> f7#(I245, I234, I246, 1, I236, I237, I238, I233, I247, I248, I249, I250, I251) [I248 + 4 <= I235 /\ I233 + 2 <= I235 /\ I238 + 3 <= I232 /\ I237 + 3 <= I232 /\ -1 <= I247 - 1 /\ 2 <= I246 - 1 /\ 3 <= I245 - 1 /\ 2 <= I235 - 1 /\ 3 <= I232 - 1 /\ I247 + 2 <= I235 /\ I246 <= I235 /\ 1 <= I236 - 1 /\ I245 <= I232] 13) f6#(I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264) -> f7#(I265, I254, I266, 0, I256, I257, I258, I253, I267, I268, I269, I270, I271) [I268 + 4 <= I255 /\ I253 + 2 <= I255 /\ I258 + 3 <= I252 /\ I257 + 3 <= I252 /\ -1 <= I267 - 1 /\ 2 <= I266 - 1 /\ 3 <= I265 - 1 /\ 2 <= I255 - 1 /\ 3 <= I252 - 1 /\ I267 + 2 <= I255 /\ I266 <= I255 /\ 1 <= I256 - 1 /\ I265 <= I252] 14) f5#(I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284) -> f6#(I285, I286, I287, I288, I273, I274, I275, I289, I290, I291, I292, I293, I294) [I274 + 3 <= I272 /\ I275 + 3 <= I272 /\ -1 <= I288 - 1 /\ 3 <= I285 - 1 /\ 3 <= I272 - 1 /\ I285 <= I272 /\ 1 <= I273 - 1 /\ I287 <= I273 - 1] 15) f4#(I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307) -> f5#(I308, I299, I300, I301, I309, I310, I311, I312, I313, I314, I315, I316, I317) [0 <= I296 - 1 /\ I298 + 1 <= I297 - 1 /\ -1 <= I297 - 1 /\ -1 <= I298 - 1 /\ -1 <= I318 - 1 /\ -1 <= y2 - 1 /\ 1 <= I299 - 1 /\ I308 <= I295 /\ 3 <= I295 - 1 /\ 3 <= I308 - 1 /\ I301 + 3 <= I295 /\ I300 + 3 <= I295] 16) f2#(I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331) -> f5#(I332, I321, I322, I323, I333, I334, I335, I336, I337, I338, I339, I340, I341) [-1 <= I342 - 1 /\ I342 + 1 <= I320 - 1 /\ -1 <= I343 - 1 /\ -1 <= y3 - 1 /\ 0 <= I320 - 1 /\ 1 <= I321 - 1 /\ I332 <= I319 /\ 3 <= I319 - 1 /\ 3 <= I332 - 1 /\ I323 + 3 <= I319 /\ I322 + 3 <= I319] 17) f4#(I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356) -> f4#(I357, I345 - 1, I346, I347 + 2, I358, I359, I360, I361, I362, I363, I364, I365, I366) [0 <= I345 - 1 /\ I347 + 1 <= I346 - 1 /\ -1 <= I346 - 1 /\ -1 <= I347 - 1 /\ -1 <= I367 - 1 /\ -1 <= I368 - 1 /\ 1 <= I348 - 1 /\ 3 <= I344 - 1 /\ 3 <= I357 - 1 /\ I350 + 3 <= I344 /\ I349 + 3 <= I344] 18) f1#(I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379, I380, I381) -> f4#(I382, I383, I370, 1, 16, 0, 12, I384, I385, I386, I387, I388, I389) [14 <= I382 - 1 /\ 0 <= I369 - 1 /\ I382 - 14 <= I369 /\ 0 <= I370 - 1 /\ -1 <= I383 - 1] 19) f3#(I390, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400, I401, I402) -> f2#(I403, I404, 16, I394, 12, I405, I406, I407, I408, I409, I410, I411, I412) [12 = I395 /\ 16 = I393 /\ I394 + 3 <= I391 /\ 14 <= I403 - 1 /\ 14 <= I391 - 1 /\ 0 <= I390 - 1 /\ I403 <= I391] 20) f1#(I413, I414, I415, I416, I417, I418, I419, I420, I421, I422, I423, I424, I425) -> f2#(I426, I414, I427, I428, I429, I430, I431, I432, I433, I434, I435, I436, I437) [-1 <= I438 - 1 /\ 0 <= I414 - 1 /\ 0 <= I413 - 1 /\ 3 <= I426 - 1] We have the following SCCs. popout

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