details

property	value
status	complete
benchmark	juLinkedListCreatePeekLast.jar-obl-8.smt2
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n005.star.cs.uiowa.edu
space	From_AProVE_2014

run statistics

property	value
solver	Ctrl
configuration	Transition
runtime (wallclock)	1.81831789017 seconds
cpu usage	1.87832406
max memory	1.9144704E7

stage attributes

key	value
output-size	19274
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, 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) f7#(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) -> f7#(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 /\ I23 + 9 <= I0 /\ I24 + 3 <= I0 /\ I7 = I8 /\ I9 = I10 /\ I11 = I12 /\ I6 = I15] f7#(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) -> f7#(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) -> f7#(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) [I102 + 3 <= I81 /\ I101 + 9 <= 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] f5#(I262, I263, I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286) -> f4#(I287, I263, I264, I265, I288, I289, I268, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307) [I267 + 7 <= I262 /\ I268 + 3 <= I262 /\ I266 + 7 <= I262 /\ I265 + 5 <= I262 /\ 6 <= I287 - 1 /\ 6 <= I262 - 1] f3#(I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331, I332) -> f4#(I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357) [-1 <= I358 - 1 /\ 0 <= I309 - 1 /\ 0 <= I308 - 1 /\ 6 <= I333 - 1] f1#(I359, I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379, I380, I381, I382, I383) -> f2#(I359, I384, 0, 0, I361, I385, I386, 0, 0, 0, I387, I388, I389, I390, I361, I362, I362, I391, I363, I364, I392, I393, I365, I394, I395) [I385 = I386 /\ I365 + 3 <= I360 /\ I364 + 5 <= I360 /\ 9 <= I384 - 1 /\ 9 <= I360 - 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) f7(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) -> f7(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 /\ I23 + 9 <= I0 /\ I24 + 3 <= I0 /\ I7 = I8 /\ I9 = I10 /\ I11 = I12 /\ I6 = I15] f7(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) -> f7(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) -> f7(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) [I102 + 3 <= I81 /\ I101 + 9 <= 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(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) -> f6(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) [-1 <= I158 - 1 /\ 0 <= I207 - 1 /\ I208 <= I158 - 1 /\ I207 <= I159 - 1 /\ -1 <= I159 - 1 /\ 0 <= I160 - 1 /\ I207 <= y3 - 1 /\ I183 <= y3 - 1 /\ -1 <= y3 - 1 /\ I182 + 6 <= I157 /\ 6 <= I157 - 1 /\ 0 <= I182 - 1 /\ I160 + 5 <= I157 /\ I161 + 7 <= I157 /\ I163 + 3 <= I157 /\ I162 + 7 <= I157] f4(I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232, I233) -> f6(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258) [-1 <= I210 - 1 /\ 0 <= I259 - 1 /\ I260 <= I210 - 1 /\ I259 <= I211 - 1 /\ -1 <= I211 - 1 /\ 0 <= I212 - 1 /\ 0 <= I260 - 1 /\ I259 <= I261 - 1 /\ I235 <= I261 - 1 /\ -1 <= I261 - 1 /\ I234 + 6 <= I209 /\ 6 <= I209 - 1 /\ 0 <= I234 - 1 /\ I212 + 5 <= I209 /\ I213 + 7 <= I209 /\ I215 + 3 <= I209 /\ I214 + 7 <= I209] f5(I262, I263, I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286) -> f4(I287, I263, I264, I265, I288, I289, I268, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307) [I267 + 7 <= I262 /\ I268 + 3 <= I262 /\ I266 + 7 <= I262 /\ I265 + 5 <= I262 /\ 6 <= I287 - 1 /\ 6 <= I262 - 1] f3(I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331, I332) -> f4(I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357) [-1 <= I358 - 1 /\ 0 <= I309 - 1 /\ 0 <= I308 - 1 /\ 6 <= I333 - 1] f1(I359, I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379, I380, I381, I382, I383) -> f2(I359, I384, 0, 0, I361, I385, I386, 0, 0, 0, I387, I388, I389, I390, I361, I362, I362, I391, I363, I364, I392, I393, I365, I394, I395) [I385 = I386 /\ I365 + 3 <= I360 /\ I364 + 5 <= I360 /\ 9 <= I384 - 1 /\ 9 <= I360 - 1] The dependency graph for this problem is: 0 -> 4, 6 1 -> 2 -> 1, 2 3 -> 4 -> 7 5 -> 6 -> 7 -> 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) f7#(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) -> f7#(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 /\ I23 + 9 <= I0 /\ I24 + 3 <= I0 /\ I7 = I8 /\ I9 = I10 /\ I11 = I12 /\ I6 = I15] 2) f7#(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) -> f7#(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) -> f7#(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) [I102 + 3 <= I81 /\ I101 + 9 <= 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) f5#(I262, I263, I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286) -> f4#(I287, I263, I264, I265, I288, I289, I268, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307) [I267 + 7 <= I262 /\ I268 + 3 <= I262 /\ I266 + 7 <= I262 /\ I265 + 5 <= I262 /\ 6 <= I287 - 1 /\ 6 <= I262 - 1] 6) f3#(I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331, I332) -> f4#(I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357) [-1 <= I358 - 1 /\ 0 <= I309 - 1 /\ 0 <= I308 - 1 /\ 6 <= I333 - 1] 7) f1#(I359, I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379, I380, I381, I382, I383) -> f2#(I359, I384, 0, 0, I361, I385, I386, 0, 0, 0, I387, I388, I389, I390, I361, I362, I362, I391, I363, I364, I392, I393, I365, I394, I395) [I385 = I386 /\ I365 + 3 <= I360 /\ I364 + 5 <= I360 /\ 9 <= I384 - 1 /\ 9 <= I360 - 1] We have the following SCCs. { 2 } DP problem for innermost termination. P = f7#(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) -> f7#(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) f7(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) -> f7(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 /\ I23 + 9 <= I0 /\ I24 + 3 <= I0 /\ I7 = I8 /\ I9 = I10 /\ I11 = I12 /\ I6 = I15] f7(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) -> f7(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) -> f7(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) [I102 + 3 <= I81 /\ I101 + 9 <= 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(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) -> f6(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) [-1 <= I158 - 1 /\ 0 <= I207 - 1 /\ I208 <= I158 - 1 /\ I207 <= I159 - 1 /\ -1 <= I159 - 1 /\ 0 <= I160 - 1 /\ I207 <= y3 - 1 /\ I183 <= y3 - 1 /\ -1 <= y3 - 1 /\ I182 + 6 <= I157 /\ 6 <= I157 - 1 /\ 0 <= I182 - 1 /\ I160 + 5 <= I157 /\ I161 + 7 <= I157 /\ I163 + 3 <= I157 /\ I162 + 7 <= I157] f4(I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232, I233) -> f6(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258) [-1 <= I210 - 1 /\ 0 <= I259 - 1 /\ I260 <= I210 - 1 /\ I259 <= I211 - 1 /\ -1 <= I211 - 1 /\ 0 <= I212 - 1 /\ 0 <= I260 - 1 /\ I259 <= I261 - 1 /\ I235 <= I261 - 1 /\ -1 <= I261 - 1 /\ I234 + 6 <= I209 /\ 6 <= I209 - 1 /\ 0 <= I234 - 1 /\ I212 + 5 <= I209 /\ I213 + 7 <= I209 /\ I215 + 3 <= I209 /\ I214 + 7 <= I209] f5(I262, I263, I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286) -> f4(I287, I263, I264, I265, I288, I289, I268, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307) [I267 + 7 <= I262 /\ I268 + 3 <= I262 /\ I266 + 7 <= I262 /\ I265 + 5 <= I262 /\ 6 <= I287 - 1 /\ 6 <= I262 - 1] f3(I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331, I332) -> f4(I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357) [-1 <= I358 - 1 /\ 0 <= I309 - 1 /\ 0 <= I308 - 1 /\ 6 <= I333 - 1] f1(I359, I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379, I380, I381, I382, I383) -> f2(I359, I384, 0, 0, I361, I385, I386, 0, 0, 0, I387, I388, I389, I390, I361, I362, I362, I391, I363, I364, I392, I393, I365, I394, I395) [I385 = I386 /\ I365 + 3 <= I360 /\ I364 + 5 <= I360 /\ 9 <= I384 - 1 /\ 9 <= I360 - 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,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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