details

property	value
status	complete
benchmark	juLinkedListCreateToArray.jar-obl-9.smt2
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n150.star.cs.uiowa.edu
space	From_AProVE_2014

run statistics

property	value
solver	Ctrl
configuration	Transition
runtime (wallclock)	8.12319612503 seconds
cpu usage	8.474761624
max memory	1.947648E7

stage attributes

key	value
output-size	35206
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_Transition /export/starexec/sandbox2/benchmark/theBenchmark.smt2 /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- 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) -> f5#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13, rnd14, rnd15, rnd16, rnd17, rnd18, rnd19, rnd20, rnd21, rnd22, rnd23) f7#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22) -> f7#(I23, I1 - 1, I2, I3, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I15 + 1, I16 + 1, I35, I36, I37, I38, I39, I22 + 1) [0 <= I1 - 1 /\ -1 <= y1 - 1 /\ 0 <= I15 - 1 /\ I15 <= y1 - 1 /\ 0 <= I3 - 1 /\ 0 <= I2 - 1 /\ 0 <= I6 - 1 /\ 0 <= I5 - 1 /\ 0 <= I4 - 1 /\ 0 <= I13 - 1 /\ -1 <= y2 - 1 /\ 0 <= I8 - 1 /\ 0 <= I11 - 1 /\ 0 <= I9 - 1 /\ 0 <= I14 - 1 /\ 0 <= I12 - 1 /\ 0 <= I10 - 1 /\ 0 <= I7 - 1 /\ -1 <= I22 - 1 /\ -1 <= I16 - 1 /\ 11 <= I0 - 1 /\ 11 <= I23 - 1 /\ I16 + 5 <= I0 /\ I17 + 11 <= I0 /\ I18 + 11 <= I0 /\ I19 + 9 <= I0 /\ I20 + 9 <= I0 /\ I22 + 3 <= I0 /\ I21 + 9 <= I0] f2#(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f7#(I63, I40, I43, I44, I50, I49, I42, I45, I46, I47, I48, I51, I52, I53, I54, I56, I57, I64, I65, I66, I67, I68, I60) [I59 + 9 <= I41 /\ I60 + 3 <= I41 /\ I58 + 9 <= I41 /\ I57 + 5 <= I41 /\ 11 <= I63 - 1 /\ 11 <= I41 - 1] f5#(I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f1#(I92, I93, I94, I95, 1, 0, 0, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111) [7 <= I93 - 1 /\ 0 <= I69 - 1 /\ I93 - 7 <= I69 /\ 0 <= I70 - 1 /\ -1 <= I92 - 1] f6#(I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134) -> f6#(I135, I136, I114 + 1, I137, 0, I138, I139, 1, I120, I121, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152) [I115 = I117 /\ I120 + 3 <= I112 /\ I121 + 5 <= I112 /\ 0 <= I136 - 1 /\ 9 <= I135 - 1 /\ 0 <= I113 - 1 /\ 9 <= I112 - 1 /\ I136 <= I113 /\ I136 + 9 <= I112 /\ -1 <= I116 - 1 /\ I114 <= I121 - 1 /\ I139 <= I116 - 1 /\ 0 <= I115 - 1 /\ I138 <= I115 - 1] f6#(I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175) -> f6#(I176, I177, I155 + 1, I156, I157, I178, I179, I180, I161, I162, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193) [I161 + 3 <= I153 /\ I162 + 5 <= I153 /\ 0 <= I177 - 1 /\ 7 <= I176 - 1 /\ 0 <= I154 - 1 /\ 7 <= I153 - 1 /\ I177 <= I154 /\ I177 + 7 <= I153 /\ I160 <= I157 - 1 /\ I155 <= I162 - 1 /\ I179 <= I159 - 1 /\ I160 <= I156 - 1 /\ 0 <= I157 - 1 /\ I178 <= I158 - 1 /\ I160 <= I180 - 1 /\ 0 <= I158 - 1 /\ 0 <= I159 - 1 /\ 0 <= I160 - 1] f4#(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216) -> f6#(I217, I218, 0, I196, 0, I196, 0, 0, I199, I200, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231) [I199 + 3 <= I194 /\ I198 + 8 <= I194 /\ I200 + 5 <= I194 /\ 0 <= I218 - 1 /\ 7 <= I217 - 1 /\ 0 <= I195 - 1 /\ 7 <= I194 - 1 /\ I218 <= I195 /\ I218 + 7 <= I194 /\ I217 <= I194 /\ 0 <= I196 - 1 /\ 0 <= I197 - 1] f4#(I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254) -> f6#(I255, I256, 0, I234, 0, I234, 0, 0, I237, I238, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269) [I237 + 3 <= I232 /\ I236 + 8 <= I232 /\ I238 + 5 <= I232 /\ 0 <= I256 - 1 /\ 7 <= I255 - 1 /\ 0 <= I233 - 1 /\ 7 <= I232 - 1 /\ I256 <= I233 /\ I256 + 7 <= I232 /\ 0 <= I234 - 1 /\ I255 <= I232] f5#(I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292) -> f4#(I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307, I308, I309, I310, I311, I312, I313, I314, I315) [-1 <= I316 - 1 /\ 0 <= I271 - 1 /\ -1 <= I317 - 1 /\ I295 <= I317 - 1 /\ -1 <= y3 - 1 /\ I296 <= y3 - 1 /\ I294 <= I270 /\ 0 <= I270 - 1 /\ 7 <= I293 - 1 /\ 0 <= I294 - 1] f3#(I318, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340) -> f4#(I341, I342, I343, I344, I345, I324, I321, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360, I361) [I323 + 7 <= I318 /\ I324 + 3 <= I318 /\ I322 + 7 <= I318 /\ I321 + 5 <= I318 /\ 0 <= I342 - 1 /\ 7 <= I341 - 1 /\ 6 <= I318 - 1 /\ I342 + 6 <= I318 /\ I344 <= I320 - 1 /\ -1 <= I320 - 1 /\ -1 <= I319 - 1 /\ I343 <= I319 - 1] f1#(I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379, I380, I381, I382, I383, I384) -> f2#(I362, I385, 0, 0, I365, I386, 0, 0, 0, I387, I388, I389, I364, I364, I365, I390, I366, I367, I391, I392, I368, I393, I394) [I368 + 3 <= I363 /\ I367 + 5 <= I363 /\ 9 <= I385 - 1 /\ 9 <= I363 - 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) -> f5(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13, rnd14, rnd15, rnd16, rnd17, rnd18, rnd19, rnd20, rnd21, rnd22, rnd23) f7(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22) -> f7(I23, I1 - 1, I2, I3, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I15 + 1, I16 + 1, I35, I36, I37, I38, I39, I22 + 1) [0 <= I1 - 1 /\ -1 <= y1 - 1 /\ 0 <= I15 - 1 /\ I15 <= y1 - 1 /\ 0 <= I3 - 1 /\ 0 <= I2 - 1 /\ 0 <= I6 - 1 /\ 0 <= I5 - 1 /\ 0 <= I4 - 1 /\ 0 <= I13 - 1 /\ -1 <= y2 - 1 /\ 0 <= I8 - 1 /\ 0 <= I11 - 1 /\ 0 <= I9 - 1 /\ 0 <= I14 - 1 /\ 0 <= I12 - 1 /\ 0 <= I10 - 1 /\ 0 <= I7 - 1 /\ -1 <= I22 - 1 /\ -1 <= I16 - 1 /\ 11 <= I0 - 1 /\ 11 <= I23 - 1 /\ I16 + 5 <= I0 /\ I17 + 11 <= I0 /\ I18 + 11 <= I0 /\ I19 + 9 <= I0 /\ I20 + 9 <= I0 /\ I22 + 3 <= I0 /\ I21 + 9 <= I0] f2(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f7(I63, I40, I43, I44, I50, I49, I42, I45, I46, I47, I48, I51, I52, I53, I54, I56, I57, I64, I65, I66, I67, I68, I60) [I59 + 9 <= I41 /\ I60 + 3 <= I41 /\ I58 + 9 <= I41 /\ I57 + 5 <= I41 /\ 11 <= I63 - 1 /\ 11 <= I41 - 1] f5(I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f1(I92, I93, I94, I95, 1, 0, 0, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111) [7 <= I93 - 1 /\ 0 <= I69 - 1 /\ I93 - 7 <= I69 /\ 0 <= I70 - 1 /\ -1 <= I92 - 1] f6(I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134) -> f6(I135, I136, I114 + 1, I137, 0, I138, I139, 1, I120, I121, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152) [I115 = I117 /\ I120 + 3 <= I112 /\ I121 + 5 <= I112 /\ 0 <= I136 - 1 /\ 9 <= I135 - 1 /\ 0 <= I113 - 1 /\ 9 <= I112 - 1 /\ I136 <= I113 /\ I136 + 9 <= I112 /\ -1 <= I116 - 1 /\ I114 <= I121 - 1 /\ I139 <= I116 - 1 /\ 0 <= I115 - 1 /\ I138 <= I115 - 1] f6(I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175) -> f6(I176, I177, I155 + 1, I156, I157, I178, I179, I180, I161, I162, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193) [I161 + 3 <= I153 /\ I162 + 5 <= I153 /\ 0 <= I177 - 1 /\ 7 <= I176 - 1 /\ 0 <= I154 - 1 /\ 7 <= I153 - 1 /\ I177 <= I154 /\ I177 + 7 <= I153 /\ I160 <= I157 - 1 /\ I155 <= I162 - 1 /\ I179 <= I159 - 1 /\ I160 <= I156 - 1 /\ 0 <= I157 - 1 /\ I178 <= I158 - 1 /\ I160 <= I180 - 1 /\ 0 <= I158 - 1 /\ 0 <= I159 - 1 /\ 0 <= I160 - 1] f4(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216) -> f6(I217, I218, 0, I196, 0, I196, 0, 0, I199, I200, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231) [I199 + 3 <= I194 /\ I198 + 8 <= I194 /\ I200 + 5 <= I194 /\ 0 <= I218 - 1 /\ 7 <= I217 - 1 /\ 0 <= I195 - 1 /\ 7 <= I194 - 1 /\ I218 <= I195 /\ I218 + 7 <= I194 /\ I217 <= I194 /\ 0 <= I196 - 1 /\ 0 <= I197 - 1] f4(I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254) -> f6(I255, I256, 0, I234, 0, I234, 0, 0, I237, I238, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269) [I237 + 3 <= I232 /\ I236 + 8 <= I232 /\ I238 + 5 <= I232 /\ 0 <= I256 - 1 /\ 7 <= I255 - 1 /\ 0 <= I233 - 1 /\ 7 <= I232 - 1 /\ I256 <= I233 /\ I256 + 7 <= I232 /\ 0 <= I234 - 1 /\ I255 <= I232] f5(I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292) -> f4(I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307, I308, I309, I310, I311, I312, I313, I314, I315) [-1 <= I316 - 1 /\ 0 <= I271 - 1 /\ -1 <= I317 - 1 /\ I295 <= I317 - 1 /\ -1 <= y3 - 1 /\ I296 <= y3 - 1 /\ I294 <= I270 /\ 0 <= I270 - 1 /\ 7 <= I293 - 1 /\ 0 <= I294 - 1] f3(I318, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340) -> f4(I341, I342, I343, I344, I345, I324, I321, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360, I361) [I323 + 7 <= I318 /\ I324 + 3 <= I318 /\ I322 + 7 <= I318 /\ I321 + 5 <= I318 /\ 0 <= I342 - 1 /\ 7 <= I341 - 1 /\ 6 <= I318 - 1 /\ I342 + 6 <= I318 /\ I344 <= I320 - 1 /\ -1 <= I320 - 1 /\ -1 <= I319 - 1 /\ I343 <= I319 - 1] f1(I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379, I380, I381, I382, I383, I384) -> f2(I362, I385, 0, 0, I365, I386, 0, 0, 0, I387, I388, I389, I364, I364, I365, I390, I366, I367, I391, I392, I368, I393, I394) [I368 + 3 <= I363 /\ I367 + 5 <= I363 /\ 9 <= I385 - 1 /\ 9 <= I363 - 1] The dependency graph for this problem is: 0 -> 3, 8 1 -> 1 2 -> 1 3 -> 10 4 -> 4 5 -> 4, 5 6 -> 4 7 -> 4 8 -> 6, 7 9 -> 6, 7 10 -> 2 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) -> f5#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13, rnd14, rnd15, rnd16, rnd17, rnd18, rnd19, rnd20, rnd21, rnd22, rnd23) 1) f7#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22) -> f7#(I23, I1 - 1, I2, I3, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I15 + 1, I16 + 1, I35, I36, I37, I38, I39, I22 + 1) [0 <= I1 - 1 /\ -1 <= y1 - 1 /\ 0 <= I15 - 1 /\ I15 <= y1 - 1 /\ 0 <= I3 - 1 /\ 0 <= I2 - 1 /\ 0 <= I6 - 1 /\ 0 <= I5 - 1 /\ 0 <= I4 - 1 /\ 0 <= I13 - 1 /\ -1 <= y2 - 1 /\ 0 <= I8 - 1 /\ 0 <= I11 - 1 /\ 0 <= I9 - 1 /\ 0 <= I14 - 1 /\ 0 <= I12 - 1 /\ 0 <= I10 - 1 /\ 0 <= I7 - 1 /\ -1 <= I22 - 1 /\ -1 <= I16 - 1 /\ 11 <= I0 - 1 /\ 11 <= I23 - 1 /\ I16 + 5 <= I0 /\ I17 + 11 <= I0 /\ I18 + 11 <= I0 /\ I19 + 9 <= I0 /\ I20 + 9 <= I0 /\ I22 + 3 <= I0 /\ I21 + 9 <= I0] 2) f2#(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f7#(I63, I40, I43, I44, I50, I49, I42, I45, I46, I47, I48, I51, I52, I53, I54, I56, I57, I64, I65, I66, I67, I68, I60) [I59 + 9 <= I41 /\ I60 + 3 <= I41 /\ I58 + 9 <= I41 /\ I57 + 5 <= I41 /\ 11 <= I63 - 1 /\ 11 <= I41 - 1] 3) f5#(I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f1#(I92, I93, I94, I95, 1, 0, 0, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111) [7 <= I93 - 1 /\ 0 <= I69 - 1 /\ I93 - 7 <= I69 /\ 0 <= I70 - 1 /\ -1 <= I92 - 1] 4) f6#(I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134) -> f6#(I135, I136, I114 + 1, I137, 0, I138, I139, 1, I120, I121, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152) [I115 = I117 /\ I120 + 3 <= I112 /\ I121 + 5 <= I112 /\ 0 <= I136 - 1 /\ 9 <= I135 - 1 /\ 0 <= I113 - 1 /\ 9 <= I112 - 1 /\ I136 <= I113 /\ I136 + 9 <= I112 /\ -1 <= I116 - 1 /\ I114 <= I121 - 1 /\ I139 <= I116 - 1 /\ 0 <= I115 - 1 /\ I138 <= I115 - 1] 5) f6#(I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175) -> f6#(I176, I177, I155 + 1, I156, I157, I178, I179, I180, I161, I162, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193) [I161 + 3 <= I153 /\ I162 + 5 <= I153 /\ 0 <= I177 - 1 /\ 7 <= I176 - 1 /\ 0 <= I154 - 1 /\ 7 <= I153 - 1 /\ I177 <= I154 /\ I177 + 7 <= I153 /\ I160 <= I157 - 1 /\ I155 <= I162 - 1 /\ I179 <= I159 - 1 /\ I160 <= I156 - 1 /\ 0 <= I157 - 1 /\ I178 <= I158 - 1 /\ I160 <= I180 - 1 /\ 0 <= I158 - 1 /\ 0 <= I159 - 1 /\ 0 <= I160 - 1] 6) f4#(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216) -> f6#(I217, I218, 0, I196, 0, I196, 0, 0, I199, I200, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231) [I199 + 3 <= I194 /\ I198 + 8 <= I194 /\ I200 + 5 <= I194 /\ 0 <= I218 - 1 /\ 7 <= I217 - 1 /\ 0 <= I195 - 1 /\ 7 <= I194 - 1 /\ I218 <= I195 /\ I218 + 7 <= I194 /\ I217 <= I194 /\ 0 <= I196 - 1 /\ 0 <= I197 - 1] 7) f4#(I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254) -> f6#(I255, I256, 0, I234, 0, I234, 0, 0, I237, I238, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269) [I237 + 3 <= I232 /\ I236 + 8 <= I232 /\ I238 + 5 <= I232 /\ 0 <= I256 - 1 /\ 7 <= I255 - 1 /\ 0 <= I233 - 1 /\ 7 <= I232 - 1 /\ I256 <= I233 /\ I256 + 7 <= I232 /\ 0 <= I234 - 1 /\ I255 <= I232] 8) f5#(I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292) -> f4#(I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307, I308, I309, I310, I311, I312, I313, I314, I315) [-1 <= I316 - 1 /\ 0 <= I271 - 1 /\ -1 <= I317 - 1 /\ I295 <= I317 - 1 /\ -1 <= y3 - 1 /\ I296 <= y3 - 1 /\ I294 <= I270 /\ 0 <= I270 - 1 /\ 7 <= I293 - 1 /\ 0 <= I294 - 1] 9) f3#(I318, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340) -> f4#(I341, I342, I343, I344, I345, I324, I321, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360, I361) [I323 + 7 <= I318 /\ I324 + 3 <= I318 /\ I322 + 7 <= I318 /\ I321 + 5 <= I318 /\ 0 <= I342 - 1 /\ 7 <= I341 - 1 /\ 6 <= I318 - 1 /\ I342 + 6 <= I318 /\ I344 <= I320 - 1 /\ -1 <= I320 - 1 /\ -1 <= I319 - 1 /\ I343 <= I319 - 1] 10) f1#(I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379, I380, I381, I382, I383, I384) -> f2#(I362, I385, 0, 0, I365, I386, 0, 0, 0, I387, I388, I389, I364, I364, I365, I390, I366, I367, I391, I392, I368, I393, I394) [I368 + 3 <= I363 /\ I367 + 5 <= I363 /\ 9 <= I385 - 1 /\ 9 <= I363 - 1] We have the following SCCs. { 5 } { 4 } { 1 } DP problem for innermost termination. P = f7#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22) -> f7#(I23, I1 - 1, I2, I3, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I15 + 1, I16 + 1, I35, I36, I37, I38, I39, I22 + 1) [0 <= I1 - 1 /\ -1 <= y1 - 1 /\ 0 <= I15 - 1 /\ I15 <= y1 - 1 /\ 0 <= I3 - 1 /\ 0 <= I2 - 1 /\ 0 <= I6 - 1 /\ 0 <= I5 - 1 /\ 0 <= I4 - 1 /\ 0 <= I13 - 1 /\ -1 <= y2 - 1 /\ 0 <= I8 - 1 /\ 0 <= I11 - 1 /\ 0 <= I9 - 1 /\ 0 <= I14 - 1 /\ 0 <= I12 - 1 /\ 0 <= I10 - 1 /\ 0 <= I7 - 1 /\ -1 <= I22 - 1 /\ -1 <= I16 - 1 /\ 11 <= I0 - 1 /\ 11 <= I23 - 1 /\ I16 + 5 <= I0 /\ I17 + 11 <= I0 /\ I18 + 11 <= I0 /\ I19 + 9 <= I0 /\ I20 + 9 <= I0 /\ I22 + 3 <= I0 /\ I21 + 9 <= I0] 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) -> f5(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13, rnd14, rnd15, rnd16, rnd17, rnd18, rnd19, rnd20, rnd21, rnd22, rnd23) f7(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22) -> f7(I23, I1 - 1, I2, I3, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I15 + 1, I16 + 1, I35, I36, I37, I38, I39, I22 + 1) [0 <= I1 - 1 /\ -1 <= y1 - 1 /\ 0 <= I15 - 1 /\ I15 <= y1 - 1 /\ 0 <= I3 - 1 /\ 0 <= I2 - 1 /\ 0 <= I6 - 1 /\ 0 <= I5 - 1 /\ 0 <= I4 - 1 /\ 0 <= I13 - 1 /\ -1 <= y2 - 1 /\ 0 <= I8 - 1 /\ 0 <= I11 - 1 /\ 0 <= I9 - 1 /\ 0 <= I14 - 1 /\ 0 <= I12 - 1 /\ 0 <= I10 - 1 /\ 0 <= I7 - 1 /\ -1 <= I22 - 1 /\ -1 <= I16 - 1 /\ 11 <= I0 - 1 /\ 11 <= I23 - 1 /\ I16 + 5 <= I0 /\ I17 + 11 <= I0 /\ I18 + 11 <= I0 /\ I19 + 9 <= I0 /\ I20 + 9 <= I0 /\ I22 + 3 <= I0 /\ I21 + 9 <= I0] f2(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f7(I63, I40, I43, I44, I50, I49, I42, I45, I46, I47, I48, I51, I52, I53, I54, I56, I57, I64, I65, I66, I67, I68, I60) [I59 + 9 <= I41 /\ I60 + 3 <= I41 /\ I58 + 9 <= I41 /\ I57 + 5 <= I41 /\ 11 <= I63 - 1 /\ 11 <= I41 - 1] f5(I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f1(I92, I93, I94, I95, 1, 0, 0, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111) [7 <= I93 - 1 /\ 0 <= I69 - 1 /\ I93 - 7 <= I69 /\ 0 <= I70 - 1 /\ -1 <= I92 - 1] f6(I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134) -> f6(I135, I136, I114 + 1, I137, 0, I138, I139, 1, I120, I121, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152) [I115 = I117 /\ I120 + 3 <= I112 /\ I121 + 5 <= I112 /\ 0 <= I136 - 1 /\ 9 <= I135 - 1 /\ 0 <= I113 - 1 /\ 9 <= I112 - 1 /\ I136 <= I113 /\ I136 + 9 <= I112 /\ -1 <= I116 - 1 /\ I114 <= I121 - 1 /\ I139 <= I116 - 1 /\ 0 <= I115 - 1 /\ I138 <= I115 - 1] f6(I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175) -> f6(I176, I177, I155 + 1, I156, I157, I178, I179, I180, I161, I162, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193) [I161 + 3 <= I153 /\ I162 + 5 <= I153 /\ 0 <= I177 - 1 /\ 7 <= I176 - 1 /\ 0 <= I154 - 1 /\ 7 <= I153 - 1 /\ I177 <= I154 /\ I177 + 7 <= I153 /\ I160 <= I157 - 1 /\ I155 <= I162 - 1 /\ I179 <= I159 - 1 /\ I160 <= I156 - 1 /\ 0 <= I157 - 1 /\ I178 <= I158 - 1 /\ I160 <= I180 - 1 /\ 0 <= I158 - 1 /\ 0 <= I159 - 1 /\ 0 <= I160 - 1] f4(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216) -> f6(I217, I218, 0, I196, 0, I196, 0, 0, I199, I200, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231) [I199 + 3 <= I194 /\ I198 + 8 <= I194 /\ I200 + 5 <= I194 /\ 0 <= I218 - 1 /\ 7 <= I217 - 1 /\ 0 <= I195 - 1 /\ 7 <= I194 - 1 /\ I218 <= I195 /\ I218 + 7 <= I194 /\ I217 <= I194 /\ 0 <= I196 - 1 /\ 0 <= I197 - 1] f4(I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254) -> f6(I255, I256, 0, I234, 0, I234, 0, 0, I237, I238, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269) [I237 + 3 <= I232 /\ I236 + 8 <= I232 /\ I238 + 5 <= I232 /\ 0 <= I256 - 1 /\ 7 <= I255 - 1 /\ 0 <= I233 - 1 /\ 7 <= I232 - 1 /\ I256 <= I233 /\ I256 + 7 <= I232 /\ 0 <= I234 - 1 /\ I255 <= I232] f5(I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292) -> f4(I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307, I308, I309, I310, I311, I312, I313, I314, I315) [-1 <= I316 - 1 /\ 0 <= I271 - 1 /\ -1 <= I317 - 1 /\ I295 <= I317 - 1 /\ -1 <= y3 - 1 /\ I296 <= y3 - 1 /\ I294 <= I270 /\ 0 <= I270 - 1 /\ 7 <= I293 - 1 /\ 0 <= I294 - 1] f3(I318, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340) -> f4(I341, I342, I343, I344, I345, I324, I321, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360, I361) [I323 + 7 <= I318 /\ I324 + 3 <= I318 /\ I322 + 7 <= I318 /\ I321 + 5 <= I318 /\ 0 <= I342 - 1 /\ 7 <= I341 - 1 /\ 6 <= I318 - 1 /\ I342 + 6 <= I318 /\ I344 <= I320 - 1 /\ -1 <= I320 - 1 /\ -1 <= I319 - 1 /\ I343 <= I319 - 1] f1(I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379, I380, I381, I382, I383, I384) -> f2(I362, I385, 0, 0, I365, I386, 0, 0, 0, I387, I388, I389, I364, I364, I365, I390, I366, I367, I391, I392, I368, I393, I394) [I368 + 3 <= I363 /\ I367 + 5 <= I363 /\ 9 <= I385 - 1 /\ 9 <= I363 - 1] We use the basic value criterion with the projection function NU: NU[f7#(z1,z2,z3,z4,z5,z6,z7,z8,z9,z10,z11,z12,z13,z14,z15,z16,z17,z18,z19,z20,z21,z22,z23)] = z2 This gives the following inequalities: 0 <= I1 - 1 /\ -1 <= y1 - 1 /\ 0 <= I15 - 1 /\ I15 <= y1 - 1 /\ 0 <= I3 - 1 /\ 0 <= I2 - 1 /\ 0 <= I6 - 1 /\ 0 <= I5 - 1 /\ 0 <= I4 - 1 /\ 0 <= I13 - 1 /\ -1 <= y2 - 1 /\ 0 <= I8 - 1 /\ 0 <= I11 - 1 /\ 0 <= I9 - 1 /\ 0 <= I14 - 1 /\ 0 <= I12 - 1 /\ 0 <= I10 - 1 /\ 0 <= I7 - 1 /\ -1 <= I22 - 1 /\ -1 <= I16 - 1 /\ 11 <= I0 - 1 /\ 11 <= I23 - 1 /\ I16 + 5 <= I0 /\ I17 + 11 <= I0 /\ I18 + 11 <= I0 /\ I19 + 9 <= I0 /\ I20 + 9 <= I0 /\ I22 + 3 <= I0 /\ I21 + 9 <= I0 ==> I1 >! I1 - 1 All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed. DP problem for innermost termination. P = f6#(I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134) -> f6#(I135, I136, I114 + 1, I137, 0, I138, I139, 1, I120, I121, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152) [I115 = I117 /\ I120 + 3 <= I112 /\ I121 + 5 <= I112 /\ 0 <= I136 - 1 /\ 9 <= I135 - 1 /\ 0 <= I113 - 1 /\ 9 <= I112 - 1 /\ I136 <= I113 /\ I136 + 9 <= I112 /\ -1 <= I116 - 1 /\ I114 <= I121 - 1 /\ I139 <= I116 - 1 /\ 0 <= I115 - 1 /\ I138 <= I115 - 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) -> f5(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13, rnd14, rnd15, rnd16, rnd17, rnd18, rnd19, rnd20, rnd21, rnd22, rnd23) f7(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22) -> f7(I23, I1 - 1, I2, I3, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I15 + 1, I16 + 1, I35, I36, I37, I38, I39, I22 + 1) [0 <= I1 - 1 /\ -1 <= y1 - 1 /\ 0 <= I15 - 1 /\ I15 <= y1 - 1 /\ 0 <= I3 - 1 /\ 0 <= I2 - 1 /\ 0 <= I6 - 1 /\ 0 <= I5 - 1 /\ 0 <= I4 - 1 /\ 0 <= I13 - 1 /\ -1 <= y2 - 1 /\ 0 <= I8 - 1 /\ 0 <= I11 - 1 /\ 0 <= I9 - 1 /\ 0 <= I14 - 1 /\ 0 <= I12 - 1 /\ 0 <= I10 - 1 /\ 0 <= I7 - 1 /\ -1 <= I22 - 1 /\ -1 <= I16 - 1 /\ 11 <= I0 - 1 /\ 11 <= I23 - 1 /\ I16 + 5 <= I0 /\ I17 + 11 <= I0 /\ I18 + 11 <= I0 /\ I19 + 9 <= I0 /\ I20 + 9 <= I0 /\ I22 + 3 <= I0 /\ I21 + 9 <= I0] f2(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f7(I63, I40, I43, I44, I50, I49, I42, I45, I46, I47, I48, I51, I52, I53, I54, I56, I57, I64, I65, I66, I67, I68, I60) [I59 + 9 <= I41 /\ I60 + 3 <= I41 /\ I58 + 9 <= I41 /\ I57 + 5 <= I41 /\ 11 <= I63 - 1 /\ 11 <= I41 - 1] f5(I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f1(I92, I93, I94, I95, 1, 0, 0, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111) [7 <= I93 - 1 /\ 0 <= I69 - 1 /\ I93 - 7 <= I69 /\ 0 <= I70 - 1 /\ -1 <= I92 - 1] f6(I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134) -> f6(I135, I136, I114 + 1, I137, 0, I138, I139, 1, I120, I121, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152) [I115 = I117 /\ I120 + 3 <= I112 /\ I121 + 5 <= I112 /\ 0 <= I136 - 1 /\ 9 <= I135 - 1 /\ 0 <= I113 - 1 /\ 9 <= I112 - 1 /\ I136 <= I113 /\ I136 + 9 <= I112 /\ -1 <= I116 - 1 /\ I114 <= I121 - 1 /\ I139 <= I116 - 1 /\ 0 <= I115 - 1 /\ I138 <= I115 - 1] f6(I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175) -> f6(I176, I177, I155 + 1, I156, I157, I178, I179, I180, I161, I162, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193) [I161 + 3 <= I153 /\ I162 + 5 <= I153 /\ 0 <= I177 - 1 /\ 7 <= I176 - 1 /\ 0 <= I154 - 1 /\ 7 <= I153 - 1 /\ I177 <= I154 /\ I177 + 7 <= I153 /\ I160 <= I157 - 1 /\ I155 <= I162 - 1 /\ I179 <= I159 - 1 /\ I160 <= I156 - 1 /\ 0 <= I157 - 1 /\ I178 <= I158 - 1 /\ I160 <= I180 - 1 /\ 0 <= I158 - 1 /\ 0 <= I159 - 1 /\ 0 <= I160 - 1] f4(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216) -> f6(I217, I218, 0, I196, 0, I196, 0, 0, I199, I200, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231) [I199 + 3 <= I194 /\ I198 + 8 <= I194 /\ I200 + 5 <= I194 /\ 0 <= I218 - 1 /\ 7 <= I217 - 1 /\ 0 <= I195 - 1 /\ 7 <= I194 - 1 /\ I218 <= I195 /\ I218 + 7 <= I194 /\ I217 <= I194 /\ 0 <= I196 - 1 /\ 0 <= I197 - 1] f4(I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254) -> f6(I255, I256, 0, I234, 0, I234, 0, 0, I237, I238, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269) [I237 + 3 <= I232 /\ I236 + 8 <= I232 /\ I238 + 5 <= I232 /\ 0 <= I256 - 1 /\ 7 <= I255 - 1 /\ 0 <= I233 - 1 /\ 7 <= I232 - 1 /\ I256 <= I233 /\ I256 + 7 <= I232 /\ 0 <= I234 - 1 /\ I255 <= I232] popout

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