10.48/10.77	YES
10.48/10.77	
10.48/10.77	DP problem for innermost termination.
10.48/10.77	P =
10.48/10.77	  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) 
10.48/10.77	  f8#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22) -> f8#(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 + 9 <= I0 /\ I18 + 9 <= I0 /\ I19 + 9 <= I0 /\ I20 + 11 <= I0 /\ I22 + 3 <= I0 /\ I21 + 11 <= I0]
10.48/10.77	  f2#(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, I40, I43, I44, I50, I49, I42, I45, I46, I47, I48, I51, I52, I53, I54, I56, I57, I64, I65, I66, I67, I68, I60) [I60 + 3 <= I41 /\ I59 + 9 <= I41 /\ I58 + 9 <= I41 /\ I57 + 5 <= I41 /\ 11 <= I63 - 1 /\ 11 <= I41 - 1]
10.48/10.77	  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]
10.48/10.77	  f7#(I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134) -> f7#(I112 + 1, I113, 1, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154) [I112 <= I113 /\ I155 <= I114 - 1 /\ -1 <= I114 - 1]
10.48/10.77	  f7#(I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178) -> f7#(I156 + 1, I157, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199) [-1 <= I158 - 1 /\ 0 <= I200 - 1 /\ I200 <= I158 - 1 /\ I156 <= I157 /\ I200 <= I179 - 1]
10.48/10.77	  f4#(I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223) -> f7#(0, I224, I202, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244) [I245 <= I204 - 1 /\ 0 <= I245 - 1 /\ -1 <= I224 - 1 /\ I224 <= I246 - 1 /\ I224 <= I205 - 1 /\ 6 <= I201 - 1 /\ I205 + 5 <= I201 /\ I206 + 7 <= I201 /\ I208 + 3 <= I201 /\ I207 + 7 <= I201]
10.48/10.77	  f6#(I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269) -> f6#(I247 - 1, I248, 1, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289) [I248 <= I247 - 1 /\ I290 <= I249 - 1 /\ -1 <= I249 - 1]
10.48/10.77	  f6#(I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307, I308, I309, I310, I311, I312, I313) -> f6#(I291 - 1, I292, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334) [-1 <= I293 - 1 /\ 0 <= I335 - 1 /\ I335 <= I293 - 1 /\ I292 <= I291 - 1 /\ I335 <= I314 - 1]
10.48/10.77	  f4#(I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358) -> f6#(I340, I359, I338, I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379) [I380 <= I339 - 1 /\ 0 <= I380 - 1 /\ -1 <= I359 - 1 /\ I381 <= I359 /\ I359 <= I340 - 1 /\ 6 <= I336 - 1 /\ I340 + 5 <= I336 /\ I341 + 7 <= I336 /\ I343 + 3 <= I336 /\ I342 + 7 <= I336]
10.48/10.77	  f5#(I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400, I401, I402, I403, I404) -> f4#(I405, I406, I407, I383, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417, I418, I419, I420, I421, I422, I423, I424, I425, I426) [-1 <= I427 - 1 /\ 0 <= I383 - 1 /\ 0 <= I382 - 1 /\ 6 <= I405 - 1]
10.48/10.77	  f3#(I428, I429, I430, I431, I432, I433, I434, I435, I436, I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450) -> f4#(I451, I430, I431, I452, I433, I453, I454, I436, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469) [I435 + 7 <= I429 /\ I436 + 3 <= I429 /\ I434 + 7 <= I429 /\ I433 + 5 <= I429 /\ 6 <= I451 - 1 /\ 6 <= I429 - 1 /\ 0 <= I428 - 1]
10.48/10.77	  f1#(I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485, I486, I487, I488, I489, I490, I491, I492) -> f2#(I470, I493, 0, 0, I473, I494, 0, 0, 0, I495, I496, I497, I472, I472, I473, I498, I474, I475, I499, I500, I476, I501, I502) [I476 + 3 <= I471 /\ I475 + 5 <= I471 /\ 9 <= I493 - 1 /\ 9 <= I471 - 1]
10.48/10.77	R = 
10.48/10.77	  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) 
10.48/10.77	  f8(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22) -> f8(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 + 9 <= I0 /\ I18 + 9 <= I0 /\ I19 + 9 <= I0 /\ I20 + 11 <= I0 /\ I22 + 3 <= I0 /\ I21 + 11 <= I0]
10.48/10.77	  f2(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, I40, I43, I44, I50, I49, I42, I45, I46, I47, I48, I51, I52, I53, I54, I56, I57, I64, I65, I66, I67, I68, I60) [I60 + 3 <= I41 /\ I59 + 9 <= I41 /\ I58 + 9 <= I41 /\ I57 + 5 <= I41 /\ 11 <= I63 - 1 /\ 11 <= I41 - 1]
10.48/10.77	  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]
10.48/10.77	  f7(I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134) -> f7(I112 + 1, I113, 1, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154) [I112 <= I113 /\ I155 <= I114 - 1 /\ -1 <= I114 - 1]
10.48/10.77	  f7(I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178) -> f7(I156 + 1, I157, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199) [-1 <= I158 - 1 /\ 0 <= I200 - 1 /\ I200 <= I158 - 1 /\ I156 <= I157 /\ I200 <= I179 - 1]
10.48/10.77	  f4(I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223) -> f7(0, I224, I202, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244) [I245 <= I204 - 1 /\ 0 <= I245 - 1 /\ -1 <= I224 - 1 /\ I224 <= I246 - 1 /\ I224 <= I205 - 1 /\ 6 <= I201 - 1 /\ I205 + 5 <= I201 /\ I206 + 7 <= I201 /\ I208 + 3 <= I201 /\ I207 + 7 <= I201]
10.48/10.77	  f6(I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269) -> f6(I247 - 1, I248, 1, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289) [I248 <= I247 - 1 /\ I290 <= I249 - 1 /\ -1 <= I249 - 1]
10.48/10.77	  f6(I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307, I308, I309, I310, I311, I312, I313) -> f6(I291 - 1, I292, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334) [-1 <= I293 - 1 /\ 0 <= I335 - 1 /\ I335 <= I293 - 1 /\ I292 <= I291 - 1 /\ I335 <= I314 - 1]
10.48/10.77	  f4(I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358) -> f6(I340, I359, I338, I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379) [I380 <= I339 - 1 /\ 0 <= I380 - 1 /\ -1 <= I359 - 1 /\ I381 <= I359 /\ I359 <= I340 - 1 /\ 6 <= I336 - 1 /\ I340 + 5 <= I336 /\ I341 + 7 <= I336 /\ I343 + 3 <= I336 /\ I342 + 7 <= I336]
10.48/10.77	  f5(I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400, I401, I402, I403, I404) -> f4(I405, I406, I407, I383, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417, I418, I419, I420, I421, I422, I423, I424, I425, I426) [-1 <= I427 - 1 /\ 0 <= I383 - 1 /\ 0 <= I382 - 1 /\ 6 <= I405 - 1]
10.48/10.77	  f3(I428, I429, I430, I431, I432, I433, I434, I435, I436, I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450) -> f4(I451, I430, I431, I452, I433, I453, I454, I436, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469) [I435 + 7 <= I429 /\ I436 + 3 <= I429 /\ I434 + 7 <= I429 /\ I433 + 5 <= I429 /\ 6 <= I451 - 1 /\ 6 <= I429 - 1 /\ 0 <= I428 - 1]
10.48/10.77	  f1(I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485, I486, I487, I488, I489, I490, I491, I492) -> f2(I470, I493, 0, 0, I473, I494, 0, 0, 0, I495, I496, I497, I472, I472, I473, I498, I474, I475, I499, I500, I476, I501, I502) [I476 + 3 <= I471 /\ I475 + 5 <= I471 /\ 9 <= I493 - 1 /\ 9 <= I471 - 1]
10.48/10.77	
10.48/10.77	The dependency graph for this problem is:
10.48/10.77	  0 -> 3, 10
10.48/10.77	  1 -> 1
10.48/10.77	  2 -> 1
10.48/10.77	  3 -> 12
10.48/10.77	  4 -> 4
10.48/10.77	  5 -> 4, 5
10.48/10.77	  6 -> 4, 5
10.48/10.77	  7 -> 7
10.48/10.77	  8 -> 7, 8
10.48/10.77	  9 -> 7, 8
10.48/10.77	  10 -> 6, 9
10.48/10.77	  11 -> 6, 9
10.48/10.77	  12 -> 2
10.48/10.77	Where:
10.48/10.77	  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) 
10.48/10.77	  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) -> f8#(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 + 9 <= I0 /\ I18 + 9 <= I0 /\ I19 + 9 <= I0 /\ I20 + 11 <= I0 /\ I22 + 3 <= I0 /\ I21 + 11 <= I0]
10.48/10.77	  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) -> f8#(I63, I40, I43, I44, I50, I49, I42, I45, I46, I47, I48, I51, I52, I53, I54, I56, I57, I64, I65, I66, I67, I68, I60) [I60 + 3 <= I41 /\ I59 + 9 <= I41 /\ I58 + 9 <= I41 /\ I57 + 5 <= I41 /\ 11 <= I63 - 1 /\ 11 <= I41 - 1]
10.48/10.77	  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]
10.48/10.77	  4) f7#(I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134) -> f7#(I112 + 1, I113, 1, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154) [I112 <= I113 /\ I155 <= I114 - 1 /\ -1 <= I114 - 1]
10.48/10.77	  5) f7#(I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178) -> f7#(I156 + 1, I157, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199) [-1 <= I158 - 1 /\ 0 <= I200 - 1 /\ I200 <= I158 - 1 /\ I156 <= I157 /\ I200 <= I179 - 1]
10.48/10.77	  6) f4#(I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223) -> f7#(0, I224, I202, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244) [I245 <= I204 - 1 /\ 0 <= I245 - 1 /\ -1 <= I224 - 1 /\ I224 <= I246 - 1 /\ I224 <= I205 - 1 /\ 6 <= I201 - 1 /\ I205 + 5 <= I201 /\ I206 + 7 <= I201 /\ I208 + 3 <= I201 /\ I207 + 7 <= I201]
10.48/10.77	  7) f6#(I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269) -> f6#(I247 - 1, I248, 1, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289) [I248 <= I247 - 1 /\ I290 <= I249 - 1 /\ -1 <= I249 - 1]
10.48/10.77	  8) f6#(I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307, I308, I309, I310, I311, I312, I313) -> f6#(I291 - 1, I292, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334) [-1 <= I293 - 1 /\ 0 <= I335 - 1 /\ I335 <= I293 - 1 /\ I292 <= I291 - 1 /\ I335 <= I314 - 1]
10.48/10.77	  9) f4#(I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358) -> f6#(I340, I359, I338, I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379) [I380 <= I339 - 1 /\ 0 <= I380 - 1 /\ -1 <= I359 - 1 /\ I381 <= I359 /\ I359 <= I340 - 1 /\ 6 <= I336 - 1 /\ I340 + 5 <= I336 /\ I341 + 7 <= I336 /\ I343 + 3 <= I336 /\ I342 + 7 <= I336]
10.48/10.77	  10) f5#(I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400, I401, I402, I403, I404) -> f4#(I405, I406, I407, I383, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417, I418, I419, I420, I421, I422, I423, I424, I425, I426) [-1 <= I427 - 1 /\ 0 <= I383 - 1 /\ 0 <= I382 - 1 /\ 6 <= I405 - 1]
10.48/10.77	  11) f3#(I428, I429, I430, I431, I432, I433, I434, I435, I436, I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450) -> f4#(I451, I430, I431, I452, I433, I453, I454, I436, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469) [I435 + 7 <= I429 /\ I436 + 3 <= I429 /\ I434 + 7 <= I429 /\ I433 + 5 <= I429 /\ 6 <= I451 - 1 /\ 6 <= I429 - 1 /\ 0 <= I428 - 1]
10.48/10.77	  12) f1#(I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485, I486, I487, I488, I489, I490, I491, I492) -> f2#(I470, I493, 0, 0, I473, I494, 0, 0, 0, I495, I496, I497, I472, I472, I473, I498, I474, I475, I499, I500, I476, I501, I502) [I476 + 3 <= I471 /\ I475 + 5 <= I471 /\ 9 <= I493 - 1 /\ 9 <= I471 - 1]
10.48/10.77	
10.48/10.77	We have the following SCCs.
10.48/10.77	  { 8 }
10.48/10.77	  { 7 }
10.48/10.77	  { 5 }
10.48/10.77	  { 4 }
10.48/10.77	  { 1 }
10.48/10.77	
10.48/10.77	DP problem for innermost termination.
10.48/10.77	P =
10.48/10.77	  f8#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22) -> f8#(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 + 9 <= I0 /\ I18 + 9 <= I0 /\ I19 + 9 <= I0 /\ I20 + 11 <= I0 /\ I22 + 3 <= I0 /\ I21 + 11 <= I0]
10.48/10.77	R = 
10.48/10.77	  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) 
10.48/10.77	  f8(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22) -> f8(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 + 9 <= I0 /\ I18 + 9 <= I0 /\ I19 + 9 <= I0 /\ I20 + 11 <= I0 /\ I22 + 3 <= I0 /\ I21 + 11 <= I0]
10.48/10.77	  f2(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, I40, I43, I44, I50, I49, I42, I45, I46, I47, I48, I51, I52, I53, I54, I56, I57, I64, I65, I66, I67, I68, I60) [I60 + 3 <= I41 /\ I59 + 9 <= I41 /\ I58 + 9 <= I41 /\ I57 + 5 <= I41 /\ 11 <= I63 - 1 /\ 11 <= I41 - 1]
10.48/10.77	  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]
10.48/10.77	  f7(I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134) -> f7(I112 + 1, I113, 1, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154) [I112 <= I113 /\ I155 <= I114 - 1 /\ -1 <= I114 - 1]
10.48/10.77	  f7(I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178) -> f7(I156 + 1, I157, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199) [-1 <= I158 - 1 /\ 0 <= I200 - 1 /\ I200 <= I158 - 1 /\ I156 <= I157 /\ I200 <= I179 - 1]
10.48/10.77	  f4(I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223) -> f7(0, I224, I202, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244) [I245 <= I204 - 1 /\ 0 <= I245 - 1 /\ -1 <= I224 - 1 /\ I224 <= I246 - 1 /\ I224 <= I205 - 1 /\ 6 <= I201 - 1 /\ I205 + 5 <= I201 /\ I206 + 7 <= I201 /\ I208 + 3 <= I201 /\ I207 + 7 <= I201]
10.48/10.77	  f6(I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269) -> f6(I247 - 1, I248, 1, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289) [I248 <= I247 - 1 /\ I290 <= I249 - 1 /\ -1 <= I249 - 1]
10.48/10.77	  f6(I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307, I308, I309, I310, I311, I312, I313) -> f6(I291 - 1, I292, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334) [-1 <= I293 - 1 /\ 0 <= I335 - 1 /\ I335 <= I293 - 1 /\ I292 <= I291 - 1 /\ I335 <= I314 - 1]
10.48/10.77	  f4(I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358) -> f6(I340, I359, I338, I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379) [I380 <= I339 - 1 /\ 0 <= I380 - 1 /\ -1 <= I359 - 1 /\ I381 <= I359 /\ I359 <= I340 - 1 /\ 6 <= I336 - 1 /\ I340 + 5 <= I336 /\ I341 + 7 <= I336 /\ I343 + 3 <= I336 /\ I342 + 7 <= I336]
10.48/10.77	  f5(I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400, I401, I402, I403, I404) -> f4(I405, I406, I407, I383, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417, I418, I419, I420, I421, I422, I423, I424, I425, I426) [-1 <= I427 - 1 /\ 0 <= I383 - 1 /\ 0 <= I382 - 1 /\ 6 <= I405 - 1]
10.48/10.77	  f3(I428, I429, I430, I431, I432, I433, I434, I435, I436, I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450) -> f4(I451, I430, I431, I452, I433, I453, I454, I436, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469) [I435 + 7 <= I429 /\ I436 + 3 <= I429 /\ I434 + 7 <= I429 /\ I433 + 5 <= I429 /\ 6 <= I451 - 1 /\ 6 <= I429 - 1 /\ 0 <= I428 - 1]
10.48/10.77	  f1(I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485, I486, I487, I488, I489, I490, I491, I492) -> f2(I470, I493, 0, 0, I473, I494, 0, 0, 0, I495, I496, I497, I472, I472, I473, I498, I474, I475, I499, I500, I476, I501, I502) [I476 + 3 <= I471 /\ I475 + 5 <= I471 /\ 9 <= I493 - 1 /\ 9 <= I471 - 1]
10.48/10.77	
10.48/10.77	We use the basic value criterion with the projection function NU:
10.48/10.77	  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)] = z2
10.48/10.77	
10.48/10.77	This gives the following inequalities:
10.48/10.77	  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 + 9 <= I0 /\ I18 + 9 <= I0 /\ I19 + 9 <= I0 /\ I20 + 11 <= I0 /\ I22 + 3 <= I0 /\ I21 + 11 <= I0  ==>  I1 >! I1 - 1
10.48/10.77	
10.48/10.77	All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed.
10.48/10.77	
10.48/10.77	DP problem for innermost termination.
10.48/10.77	P =
10.48/10.77	  f7#(I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134) -> f7#(I112 + 1, I113, 1, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154) [I112 <= I113 /\ I155 <= I114 - 1 /\ -1 <= I114 - 1]
10.48/10.77	R = 
10.48/10.77	  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) 
10.48/10.77	  f8(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22) -> f8(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 + 9 <= I0 /\ I18 + 9 <= I0 /\ I19 + 9 <= I0 /\ I20 + 11 <= I0 /\ I22 + 3 <= I0 /\ I21 + 11 <= I0]
10.48/10.77	  f2(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, I40, I43, I44, I50, I49, I42, I45, I46, I47, I48, I51, I52, I53, I54, I56, I57, I64, I65, I66, I67, I68, I60) [I60 + 3 <= I41 /\ I59 + 9 <= I41 /\ I58 + 9 <= I41 /\ I57 + 5 <= I41 /\ 11 <= I63 - 1 /\ 11 <= I41 - 1]
10.48/10.77	  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]
10.48/10.77	  f7(I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134) -> f7(I112 + 1, I113, 1, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154) [I112 <= I113 /\ I155 <= I114 - 1 /\ -1 <= I114 - 1]
10.48/10.77	  f7(I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178) -> f7(I156 + 1, I157, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199) [-1 <= I158 - 1 /\ 0 <= I200 - 1 /\ I200 <= I158 - 1 /\ I156 <= I157 /\ I200 <= I179 - 1]
10.48/10.77	  f4(I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223) -> f7(0, I224, I202, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244) [I245 <= I204 - 1 /\ 0 <= I245 - 1 /\ -1 <= I224 - 1 /\ I224 <= I246 - 1 /\ I224 <= I205 - 1 /\ 6 <= I201 - 1 /\ I205 + 5 <= I201 /\ I206 + 7 <= I201 /\ I208 + 3 <= I201 /\ I207 + 7 <= I201]
10.48/10.77	  f6(I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269) -> f6(I247 - 1, I248, 1, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289) [I248 <= I247 - 1 /\ I290 <= I249 - 1 /\ -1 <= I249 - 1]
10.48/10.77	  f6(I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307, I308, I309, I310, I311, I312, I313) -> f6(I291 - 1, I292, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334) [-1 <= I293 - 1 /\ 0 <= I335 - 1 /\ I335 <= I293 - 1 /\ I292 <= I291 - 1 /\ I335 <= I314 - 1]
10.48/10.77	  f4(I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358) -> f6(I340, I359, I338, I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379) [I380 <= I339 - 1 /\ 0 <= I380 - 1 /\ -1 <= I359 - 1 /\ I381 <= I359 /\ I359 <= I340 - 1 /\ 6 <= I336 - 1 /\ I340 + 5 <= I336 /\ I341 + 7 <= I336 /\ I343 + 3 <= I336 /\ I342 + 7 <= I336]
10.48/10.77	  f5(I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400, I401, I402, I403, I404) -> f4(I405, I406, I407, I383, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417, I418, I419, I420, I421, I422, I423, I424, I425, I426) [-1 <= I427 - 1 /\ 0 <= I383 - 1 /\ 0 <= I382 - 1 /\ 6 <= I405 - 1]
10.48/10.77	  f3(I428, I429, I430, I431, I432, I433, I434, I435, I436, I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450) -> f4(I451, I430, I431, I452, I433, I453, I454, I436, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469) [I435 + 7 <= I429 /\ I436 + 3 <= I429 /\ I434 + 7 <= I429 /\ I433 + 5 <= I429 /\ 6 <= I451 - 1 /\ 6 <= I429 - 1 /\ 0 <= I428 - 1]
10.48/10.77	  f1(I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485, I486, I487, I488, I489, I490, I491, I492) -> f2(I470, I493, 0, 0, I473, I494, 0, 0, 0, I495, I496, I497, I472, I472, I473, I498, I474, I475, I499, I500, I476, I501, I502) [I476 + 3 <= I471 /\ I475 + 5 <= I471 /\ 9 <= I493 - 1 /\ 9 <= I471 - 1]
10.48/10.77	
10.48/10.77	We use the reverse value criterion with the projection function NU:
10.48/10.77	  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 + -1 * z1
10.48/10.77	
10.48/10.77	This gives the following inequalities:
10.48/10.77	  I112 <= I113 /\ I155 <= I114 - 1 /\ -1 <= I114 - 1  ==>  I113 + -1 * I112 > I113 + -1 * (I112 + 1)  with  I113 + -1 * I112 >= 0
10.48/10.77	
10.48/10.77	All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed.
10.48/10.77	
10.48/10.77	DP problem for innermost termination.
10.48/10.77	P =
10.48/10.77	  f7#(I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178) -> f7#(I156 + 1, I157, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199) [-1 <= I158 - 1 /\ 0 <= I200 - 1 /\ I200 <= I158 - 1 /\ I156 <= I157 /\ I200 <= I179 - 1]
10.48/10.77	R = 
10.48/10.77	  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) 
10.48/10.77	  f8(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22) -> f8(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 + 9 <= I0 /\ I18 + 9 <= I0 /\ I19 + 9 <= I0 /\ I20 + 11 <= I0 /\ I22 + 3 <= I0 /\ I21 + 11 <= I0]
10.48/10.77	  f2(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, I40, I43, I44, I50, I49, I42, I45, I46, I47, I48, I51, I52, I53, I54, I56, I57, I64, I65, I66, I67, I68, I60) [I60 + 3 <= I41 /\ I59 + 9 <= I41 /\ I58 + 9 <= I41 /\ I57 + 5 <= I41 /\ 11 <= I63 - 1 /\ 11 <= I41 - 1]
10.48/10.77	  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]
10.48/10.77	  f7(I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134) -> f7(I112 + 1, I113, 1, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154) [I112 <= I113 /\ I155 <= I114 - 1 /\ -1 <= I114 - 1]
10.48/10.77	  f7(I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178) -> f7(I156 + 1, I157, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199) [-1 <= I158 - 1 /\ 0 <= I200 - 1 /\ I200 <= I158 - 1 /\ I156 <= I157 /\ I200 <= I179 - 1]
10.48/10.77	  f4(I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223) -> f7(0, I224, I202, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244) [I245 <= I204 - 1 /\ 0 <= I245 - 1 /\ -1 <= I224 - 1 /\ I224 <= I246 - 1 /\ I224 <= I205 - 1 /\ 6 <= I201 - 1 /\ I205 + 5 <= I201 /\ I206 + 7 <= I201 /\ I208 + 3 <= I201 /\ I207 + 7 <= I201]
10.48/10.77	  f6(I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269) -> f6(I247 - 1, I248, 1, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289) [I248 <= I247 - 1 /\ I290 <= I249 - 1 /\ -1 <= I249 - 1]
10.48/10.77	  f6(I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307, I308, I309, I310, I311, I312, I313) -> f6(I291 - 1, I292, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334) [-1 <= I293 - 1 /\ 0 <= I335 - 1 /\ I335 <= I293 - 1 /\ I292 <= I291 - 1 /\ I335 <= I314 - 1]
10.48/10.77	  f4(I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358) -> f6(I340, I359, I338, I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379) [I380 <= I339 - 1 /\ 0 <= I380 - 1 /\ -1 <= I359 - 1 /\ I381 <= I359 /\ I359 <= I340 - 1 /\ 6 <= I336 - 1 /\ I340 + 5 <= I336 /\ I341 + 7 <= I336 /\ I343 + 3 <= I336 /\ I342 + 7 <= I336]
10.48/10.77	  f5(I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400, I401, I402, I403, I404) -> f4(I405, I406, I407, I383, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417, I418, I419, I420, I421, I422, I423, I424, I425, I426) [-1 <= I427 - 1 /\ 0 <= I383 - 1 /\ 0 <= I382 - 1 /\ 6 <= I405 - 1]
10.48/10.77	  f3(I428, I429, I430, I431, I432, I433, I434, I435, I436, I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450) -> f4(I451, I430, I431, I452, I433, I453, I454, I436, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469) [I435 + 7 <= I429 /\ I436 + 3 <= I429 /\ I434 + 7 <= I429 /\ I433 + 5 <= I429 /\ 6 <= I451 - 1 /\ 6 <= I429 - 1 /\ 0 <= I428 - 1]
10.48/10.77	  f1(I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485, I486, I487, I488, I489, I490, I491, I492) -> f2(I470, I493, 0, 0, I473, I494, 0, 0, 0, I495, I496, I497, I472, I472, I473, I498, I474, I475, I499, I500, I476, I501, I502) [I476 + 3 <= I471 /\ I475 + 5 <= I471 /\ 9 <= I493 - 1 /\ 9 <= I471 - 1]
10.48/10.77	
10.48/10.77	We use the reverse value criterion with the projection function NU:
10.48/10.77	  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 + -1 * z1
10.48/10.77	
10.48/10.77	This gives the following inequalities:
10.48/10.77	  -1 <= I158 - 1 /\ 0 <= I200 - 1 /\ I200 <= I158 - 1 /\ I156 <= I157 /\ I200 <= I179 - 1  ==>  I157 + -1 * I156 > I157 + -1 * (I156 + 1)  with  I157 + -1 * I156 >= 0
10.48/10.77	
10.48/10.77	All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed.
10.48/10.77	
10.48/10.77	DP problem for innermost termination.
10.48/10.77	P =
10.48/10.77	  f6#(I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269) -> f6#(I247 - 1, I248, 1, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289) [I248 <= I247 - 1 /\ I290 <= I249 - 1 /\ -1 <= I249 - 1]
10.48/10.77	R = 
10.48/10.77	  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) 
10.48/10.77	  f8(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22) -> f8(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 + 9 <= I0 /\ I18 + 9 <= I0 /\ I19 + 9 <= I0 /\ I20 + 11 <= I0 /\ I22 + 3 <= I0 /\ I21 + 11 <= I0]
10.48/10.77	  f2(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, I40, I43, I44, I50, I49, I42, I45, I46, I47, I48, I51, I52, I53, I54, I56, I57, I64, I65, I66, I67, I68, I60) [I60 + 3 <= I41 /\ I59 + 9 <= I41 /\ I58 + 9 <= I41 /\ I57 + 5 <= I41 /\ 11 <= I63 - 1 /\ 11 <= I41 - 1]
10.48/10.77	  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]
10.48/10.77	  f7(I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134) -> f7(I112 + 1, I113, 1, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154) [I112 <= I113 /\ I155 <= I114 - 1 /\ -1 <= I114 - 1]
10.48/10.77	  f7(I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178) -> f7(I156 + 1, I157, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199) [-1 <= I158 - 1 /\ 0 <= I200 - 1 /\ I200 <= I158 - 1 /\ I156 <= I157 /\ I200 <= I179 - 1]
10.48/10.77	  f4(I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223) -> f7(0, I224, I202, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244) [I245 <= I204 - 1 /\ 0 <= I245 - 1 /\ -1 <= I224 - 1 /\ I224 <= I246 - 1 /\ I224 <= I205 - 1 /\ 6 <= I201 - 1 /\ I205 + 5 <= I201 /\ I206 + 7 <= I201 /\ I208 + 3 <= I201 /\ I207 + 7 <= I201]
10.48/10.77	  f6(I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269) -> f6(I247 - 1, I248, 1, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289) [I248 <= I247 - 1 /\ I290 <= I249 - 1 /\ -1 <= I249 - 1]
10.48/10.77	  f6(I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307, I308, I309, I310, I311, I312, I313) -> f6(I291 - 1, I292, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334) [-1 <= I293 - 1 /\ 0 <= I335 - 1 /\ I335 <= I293 - 1 /\ I292 <= I291 - 1 /\ I335 <= I314 - 1]
10.48/10.77	  f4(I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358) -> f6(I340, I359, I338, I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379) [I380 <= I339 - 1 /\ 0 <= I380 - 1 /\ -1 <= I359 - 1 /\ I381 <= I359 /\ I359 <= I340 - 1 /\ 6 <= I336 - 1 /\ I340 + 5 <= I336 /\ I341 + 7 <= I336 /\ I343 + 3 <= I336 /\ I342 + 7 <= I336]
10.48/10.77	  f5(I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400, I401, I402, I403, I404) -> f4(I405, I406, I407, I383, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417, I418, I419, I420, I421, I422, I423, I424, I425, I426) [-1 <= I427 - 1 /\ 0 <= I383 - 1 /\ 0 <= I382 - 1 /\ 6 <= I405 - 1]
10.48/10.77	  f3(I428, I429, I430, I431, I432, I433, I434, I435, I436, I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450) -> f4(I451, I430, I431, I452, I433, I453, I454, I436, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469) [I435 + 7 <= I429 /\ I436 + 3 <= I429 /\ I434 + 7 <= I429 /\ I433 + 5 <= I429 /\ 6 <= I451 - 1 /\ 6 <= I429 - 1 /\ 0 <= I428 - 1]
10.48/10.77	  f1(I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485, I486, I487, I488, I489, I490, I491, I492) -> f2(I470, I493, 0, 0, I473, I494, 0, 0, 0, I495, I496, I497, I472, I472, I473, I498, I474, I475, I499, I500, I476, I501, I502) [I476 + 3 <= I471 /\ I475 + 5 <= I471 /\ 9 <= I493 - 1 /\ 9 <= I471 - 1]
10.48/10.77	
10.48/10.77	We use the reverse value criterion with the projection function NU:
10.48/10.77	  NU[f6#(z1,z2,z3,z4,z5,z6,z7,z8,z9,z10,z11,z12,z13,z14,z15,z16,z17,z18,z19,z20,z21,z22,z23)] = z1 - 1 + -1 * z2
10.48/10.77	
10.48/10.77	This gives the following inequalities:
10.48/10.77	  I248 <= I247 - 1 /\ I290 <= I249 - 1 /\ -1 <= I249 - 1  ==>  I247 - 1 + -1 * I248 > I247 - 1 - 1 + -1 * I248  with  I247 - 1 + -1 * I248 >= 0
10.48/10.77	
10.48/10.77	All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed.
10.48/10.77	
10.48/10.77	DP problem for innermost termination.
10.48/10.77	P =
10.48/10.77	  f6#(I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307, I308, I309, I310, I311, I312, I313) -> f6#(I291 - 1, I292, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334) [-1 <= I293 - 1 /\ 0 <= I335 - 1 /\ I335 <= I293 - 1 /\ I292 <= I291 - 1 /\ I335 <= I314 - 1]
10.48/10.77	R = 
10.48/10.77	  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) 
10.48/10.77	  f8(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22) -> f8(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 + 9 <= I0 /\ I18 + 9 <= I0 /\ I19 + 9 <= I0 /\ I20 + 11 <= I0 /\ I22 + 3 <= I0 /\ I21 + 11 <= I0]
10.48/10.77	  f2(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, I40, I43, I44, I50, I49, I42, I45, I46, I47, I48, I51, I52, I53, I54, I56, I57, I64, I65, I66, I67, I68, I60) [I60 + 3 <= I41 /\ I59 + 9 <= I41 /\ I58 + 9 <= I41 /\ I57 + 5 <= I41 /\ 11 <= I63 - 1 /\ 11 <= I41 - 1]
10.48/10.77	  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]
10.48/10.77	  f7(I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134) -> f7(I112 + 1, I113, 1, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154) [I112 <= I113 /\ I155 <= I114 - 1 /\ -1 <= I114 - 1]
10.48/10.77	  f7(I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178) -> f7(I156 + 1, I157, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199) [-1 <= I158 - 1 /\ 0 <= I200 - 1 /\ I200 <= I158 - 1 /\ I156 <= I157 /\ I200 <= I179 - 1]
10.48/10.77	  f4(I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223) -> f7(0, I224, I202, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244) [I245 <= I204 - 1 /\ 0 <= I245 - 1 /\ -1 <= I224 - 1 /\ I224 <= I246 - 1 /\ I224 <= I205 - 1 /\ 6 <= I201 - 1 /\ I205 + 5 <= I201 /\ I206 + 7 <= I201 /\ I208 + 3 <= I201 /\ I207 + 7 <= I201]
10.48/10.77	  f6(I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269) -> f6(I247 - 1, I248, 1, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289) [I248 <= I247 - 1 /\ I290 <= I249 - 1 /\ -1 <= I249 - 1]
10.48/10.77	  f6(I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307, I308, I309, I310, I311, I312, I313) -> f6(I291 - 1, I292, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334) [-1 <= I293 - 1 /\ 0 <= I335 - 1 /\ I335 <= I293 - 1 /\ I292 <= I291 - 1 /\ I335 <= I314 - 1]
10.48/10.77	  f4(I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358) -> f6(I340, I359, I338, I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379) [I380 <= I339 - 1 /\ 0 <= I380 - 1 /\ -1 <= I359 - 1 /\ I381 <= I359 /\ I359 <= I340 - 1 /\ 6 <= I336 - 1 /\ I340 + 5 <= I336 /\ I341 + 7 <= I336 /\ I343 + 3 <= I336 /\ I342 + 7 <= I336]
10.48/10.77	  f5(I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400, I401, I402, I403, I404) -> f4(I405, I406, I407, I383, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417, I418, I419, I420, I421, I422, I423, I424, I425, I426) [-1 <= I427 - 1 /\ 0 <= I383 - 1 /\ 0 <= I382 - 1 /\ 6 <= I405 - 1]
10.48/10.77	  f3(I428, I429, I430, I431, I432, I433, I434, I435, I436, I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450) -> f4(I451, I430, I431, I452, I433, I453, I454, I436, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469) [I435 + 7 <= I429 /\ I436 + 3 <= I429 /\ I434 + 7 <= I429 /\ I433 + 5 <= I429 /\ 6 <= I451 - 1 /\ 6 <= I429 - 1 /\ 0 <= I428 - 1]
10.48/10.77	  f1(I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485, I486, I487, I488, I489, I490, I491, I492) -> f2(I470, I493, 0, 0, I473, I494, 0, 0, 0, I495, I496, I497, I472, I472, I473, I498, I474, I475, I499, I500, I476, I501, I502) [I476 + 3 <= I471 /\ I475 + 5 <= I471 /\ 9 <= I493 - 1 /\ 9 <= I471 - 1]
10.48/10.77	
10.48/10.77	We use the reverse value criterion with the projection function NU:
10.48/10.77	  NU[f6#(z1,z2,z3,z4,z5,z6,z7,z8,z9,z10,z11,z12,z13,z14,z15,z16,z17,z18,z19,z20,z21,z22,z23)] = z1 - 1 + -1 * z2
10.48/10.77	
10.48/10.77	This gives the following inequalities:
10.48/10.77	  -1 <= I293 - 1 /\ 0 <= I335 - 1 /\ I335 <= I293 - 1 /\ I292 <= I291 - 1 /\ I335 <= I314 - 1  ==>  I291 - 1 + -1 * I292 > I291 - 1 - 1 + -1 * I292  with  I291 - 1 + -1 * I292 >= 0
10.48/10.77	
10.48/10.77	All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed.
10.48/13.75	EOF