141.00/138.69 MAYBE 141.00/138.69 141.00/138.69 DP problem for innermost termination. 141.00/138.69 P = 141.00/138.69 f9#(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, x26, x27, x28, x29) -> f1#(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, x26, x27, x28, x29) 141.00/138.69 f2#(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, I25, I26, I27, I28) -> f3#(I0, I1, I2, I3, I4, rnd6, I6, 1 + I7, I8, I9, I10, I11, I12, I13, I14, I15, rnd17, rnd18, I18, I19, I20, I22, rnd23, I23, I24, I25, I26, I27, I28) [1 <= I9 /\ I22 <= rnd18 /\ rnd18 <= I22 /\ I22 <= rnd6 /\ rnd6 <= I22 /\ rnd18 <= rnd6 /\ rnd6 <= rnd18 /\ I9 <= rnd17 /\ rnd17 <= I9 /\ 1 + I7 <= 1 /\ 1 <= 1 + I7 /\ rnd6 = I22 /\ rnd23 = rnd23 /\ 1 + I7 <= I9 /\ rnd18 = rnd18 /\ rnd17 = rnd17] 141.00/138.69 f8#(I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90) -> f5#(I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90) 141.00/138.69 f5#(I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119) -> f8#(I91, I92, I93, I94, I95, I120, I97, 1 + I98, rnd9, I100, I101, I102, I103, I104, rnd15, I106, I107, I108, I109, I110, I111, I113, I121, I114, I115, I116, I117, I118, I119) [1 + rnd9 <= I100 /\ -1 + 1 + I98 <= rnd9 /\ rnd9 <= -1 + 1 + I98 /\ 1 + rnd9 <= 1 + I98 /\ 1 + I98 <= 1 + rnd9 /\ I120 = I113 /\ I121 = I121 /\ 1 + I98 <= I100 /\ rnd9 = rnd9 /\ rnd15 = rnd15 /\ 0 <= I98] 141.00/138.69 f5#(I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150) -> f6#(I122, I123, I124, I125, I151, I152, rnd7, I153, I130, I154, I132, I133, I134, I135, I136, rnd16, I155, I156, I140, I157, I142, I158, I159, I145, I160, I147, I148, I149, I150) [0 <= I129 /\ I161 = I161 /\ I131 <= I129 /\ I162 = I127 /\ I163 = I162 /\ I154 = I154 /\ I153 = I153 /\ I157 = I157 /\ I152 = I152 /\ I156 = I156 /\ I158 = I158 /\ I159 = I159 /\ I164 = I163 /\ rnd16 = rnd16 /\ I160 = I164 /\ I160 <= I164 /\ I164 <= I160 /\ 1 <= I161 /\ 2 <= I161 /\ I161 <= I153 /\ 0 <= I153 /\ I155 = I155 /\ I151 = I151 /\ rnd7 = rnd7 /\ 1 <= I155 /\ 2 <= I155 /\ I155 <= rnd7] 141.00/138.69 f7#(I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193) -> f6#(I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193) 141.00/138.69 f6#(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222) -> f7#(rnd1, rnd2, I196, I197, I223, I199, I200, I201, I202, I203, I204, rnd12, rnd13, I207, I208, I209, I224, I211, I212, I213, I214, I215, I216, rnd24, I218, I219, I220, I221, I222) [rnd2 <= rnd1 /\ rnd1 <= rnd2 /\ rnd1 = rnd1 /\ rnd12 <= rnd13 /\ rnd13 <= rnd12 /\ rnd13 = rnd13 /\ 2 <= I224 /\ 1 <= I224 /\ rnd12 <= I206 /\ I206 <= rnd12 /\ rnd2 <= I194 /\ I194 <= rnd2 /\ rnd24 <= I218 /\ I218 <= rnd24 /\ -1 * I194 + rnd2 <= 0 /\ 0 <= -1 * I194 + rnd2 /\ rnd2 = rnd2 /\ rnd12 = rnd12 /\ rnd24 = rnd24 /\ I223 = I223 /\ I224 = I224 /\ 0 <= I194] 141.00/138.69 f3#(I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302) -> f5#(I274, I275, rnd3, I277, I278, I303, I280, I304, I282, I283, I284, I285, I286, rnd14, I288, I289, I305, I306, I292, I293, I294, I296, I307, I297, I298, I299, I300, I301, I302) [I305 = I305 /\ I306 = I306 /\ rnd14 = rnd14 /\ 1 + I281 <= I283 /\ I307 = I307 /\ I303 = I296 /\ I308 = 1 + I281 /\ I304 = I304 /\ 2 <= I304 /\ I304 <= 2 /\ I305 <= I283 /\ I283 <= I305 /\ I303 <= I306 /\ I306 <= I303 /\ I303 <= I296 /\ I296 <= I303 /\ I306 <= I296 /\ I296 <= I306 /\ 1 <= I283 /\ 2 <= I283 /\ rnd3 = rnd3 /\ rnd3 <= I304 /\ I304 <= rnd3] 141.00/138.69 f1#(I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) -> f2#(I367, I368, I369, I370, I371, 0, I373, 0, I375, I396, rnd11, I378, I379, I380, I381, I382, I397, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) [I398 = I398 /\ I397 = I398 /\ rnd11 = rnd11 /\ I396 = I397 /\ 0 <= 0 /\ 0 <= 0 /\ 0 <= 0 /\ 0 <= 0 /\ I397 <= I396 /\ I396 <= I397] 141.00/138.69 R = 141.00/138.69 f9(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, x26, x27, x28, x29) -> f1(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, x26, x27, x28, x29) 141.00/138.69 f2(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, I25, I26, I27, I28) -> f3(I0, I1, I2, I3, I4, rnd6, I6, 1 + I7, I8, I9, I10, I11, I12, I13, I14, I15, rnd17, rnd18, I18, I19, I20, I22, rnd23, I23, I24, I25, I26, I27, I28) [1 <= I9 /\ I22 <= rnd18 /\ rnd18 <= I22 /\ I22 <= rnd6 /\ rnd6 <= I22 /\ rnd18 <= rnd6 /\ rnd6 <= rnd18 /\ I9 <= rnd17 /\ rnd17 <= I9 /\ 1 + I7 <= 1 /\ 1 <= 1 + I7 /\ rnd6 = I22 /\ rnd23 = rnd23 /\ 1 + I7 <= I9 /\ rnd18 = rnd18 /\ rnd17 = rnd17] 141.00/138.69 f2(I29, I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57) -> f4(I29, I30, I31, rnd4, rnd5, I58, I35, rnd8, I37, rnd10, I39, I40, I41, I42, I43, I47, I59, I60, I47, rnd20, rnd21, rnd22, I61, I52, rnd25, rnd26, rnd27, rnd28, rnd29) [y5 = y5 /\ I38 <= I36 /\ y7 = I34 /\ y3 = y7 /\ rnd10 = rnd10 /\ rnd8 = rnd8 /\ rnd20 = rnd20 /\ I58 = I58 /\ I60 = I60 /\ rnd22 = rnd22 /\ I61 = I61 /\ rnd5 = y3 /\ y4 = y4 /\ rnd25 = rnd5 /\ 0 <= rnd25 /\ rnd25 <= 0 /\ 0 <= rnd5 /\ rnd5 <= 0 /\ rnd25 <= rnd5 /\ rnd5 <= rnd25 /\ y5 <= 0 /\ y6 = y6 /\ 0 <= rnd25 /\ rnd25 <= 0 /\ y9 = rnd5 /\ y1 = 0 /\ y10 = y9 /\ y14 = y1 /\ y12 = y10 /\ 0 <= rnd25 /\ rnd25 <= 0 /\ 0 <= rnd5 /\ rnd5 <= 0 /\ 0 <= y9 /\ y9 <= 0 /\ 0 <= y1 /\ y1 <= 0 /\ 0 <= y10 /\ y10 <= 0 /\ 0 <= y14 /\ y14 <= 0 /\ 0 <= y12 /\ y12 <= 0 /\ rnd25 <= rnd5 /\ rnd5 <= rnd25 /\ rnd5 <= y9 /\ y9 <= rnd5 /\ y9 <= y10 /\ y10 <= y9 /\ y1 <= y14 /\ y14 <= y1 /\ y10 <= y12 /\ y12 <= y10 /\ y6 <= 0 /\ I59 = I59 /\ y14 <= y12 /\ y12 <= y14 /\ y11 = y11 /\ y15 = y15 /\ y13 = y13 /\ y8 = y8 /\ y2 = y2 /\ rnd26 = rnd26 /\ rnd4 = rnd4 /\ rnd27 = rnd27 /\ rnd29 = rnd29 /\ rnd28 = rnd28 /\ rnd21 = rnd21 /\ I59 <= 0] 141.00/138.69 f8(I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90) -> f5(I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90) 141.00/138.69 f5(I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119) -> f8(I91, I92, I93, I94, I95, I120, I97, 1 + I98, rnd9, I100, I101, I102, I103, I104, rnd15, I106, I107, I108, I109, I110, I111, I113, I121, I114, I115, I116, I117, I118, I119) [1 + rnd9 <= I100 /\ -1 + 1 + I98 <= rnd9 /\ rnd9 <= -1 + 1 + I98 /\ 1 + rnd9 <= 1 + I98 /\ 1 + I98 <= 1 + rnd9 /\ I120 = I113 /\ I121 = I121 /\ 1 + I98 <= I100 /\ rnd9 = rnd9 /\ rnd15 = rnd15 /\ 0 <= I98] 141.00/138.69 f5(I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150) -> f6(I122, I123, I124, I125, I151, I152, rnd7, I153, I130, I154, I132, I133, I134, I135, I136, rnd16, I155, I156, I140, I157, I142, I158, I159, I145, I160, I147, I148, I149, I150) [0 <= I129 /\ I161 = I161 /\ I131 <= I129 /\ I162 = I127 /\ I163 = I162 /\ I154 = I154 /\ I153 = I153 /\ I157 = I157 /\ I152 = I152 /\ I156 = I156 /\ I158 = I158 /\ I159 = I159 /\ I164 = I163 /\ rnd16 = rnd16 /\ I160 = I164 /\ I160 <= I164 /\ I164 <= I160 /\ 1 <= I161 /\ 2 <= I161 /\ I161 <= I153 /\ 0 <= I153 /\ I155 = I155 /\ I151 = I151 /\ rnd7 = rnd7 /\ 1 <= I155 /\ 2 <= I155 /\ I155 <= rnd7] 141.00/138.69 f7(I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193) -> f6(I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193) 141.00/138.69 f6(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222) -> f7(rnd1, rnd2, I196, I197, I223, I199, I200, I201, I202, I203, I204, rnd12, rnd13, I207, I208, I209, I224, I211, I212, I213, I214, I215, I216, rnd24, I218, I219, I220, I221, I222) [rnd2 <= rnd1 /\ rnd1 <= rnd2 /\ rnd1 = rnd1 /\ rnd12 <= rnd13 /\ rnd13 <= rnd12 /\ rnd13 = rnd13 /\ 2 <= I224 /\ 1 <= I224 /\ rnd12 <= I206 /\ I206 <= rnd12 /\ rnd2 <= I194 /\ I194 <= rnd2 /\ rnd24 <= I218 /\ I218 <= rnd24 /\ -1 * I194 + rnd2 <= 0 /\ 0 <= -1 * I194 + rnd2 /\ rnd2 = rnd2 /\ rnd12 = rnd12 /\ rnd24 = rnd24 /\ I223 = I223 /\ I224 = I224 /\ 0 <= I194] 141.00/138.69 f6(I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253) -> f4(I225, I226, I227, I254, I255, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I243, I256, I242, I243, I244, I257, I246, I247, I248, I258, I259, I260, I261, I262) [0 <= I225 /\ I263 = I263 /\ 0 <= I249 /\ I249 <= 0 /\ I264 = I229 /\ I265 = 0 /\ I266 = I264 /\ I267 = I265 /\ I268 = I266 /\ 0 <= I249 /\ I249 <= 0 /\ 0 <= I265 /\ I265 <= 0 /\ 0 <= I267 /\ I267 <= 0 /\ I229 <= I264 /\ I264 <= I229 /\ I229 <= I266 /\ I266 <= I229 /\ I229 <= I268 /\ I268 <= I229 /\ I264 <= I266 /\ I266 <= I264 /\ I265 <= I267 /\ I267 <= I265 /\ I266 <= I268 /\ I268 <= I266 /\ 1 <= I263 /\ 2 <= I263 /\ I269 = I269 /\ I258 = I258 /\ I255 = I255 /\ I270 = I270 /\ I271 = I271 /\ I272 = I272 /\ I273 = I268 /\ 0 <= I258 /\ I258 <= 0 /\ 0 <= I271 /\ I271 <= 0 /\ 0 <= I267 /\ I267 <= 0 /\ 0 <= I268 /\ I268 <= 0 /\ I255 <= I270 /\ I270 <= I255 /\ I255 <= I272 /\ I272 <= I255 /\ I255 <= I273 /\ I273 <= I255 /\ I270 <= I272 /\ I272 <= I270 /\ I271 <= I267 /\ I267 <= I271 /\ 1 <= I269 /\ 2 <= I269 /\ I256 = I256 /\ I267 <= I268 /\ I268 <= I267 /\ B0 = B0 /\ y16 = y16 /\ B1 = B1 /\ B2 = B2 /\ B3 = B3 /\ I259 = I259 /\ I254 = I254 /\ I260 = I260 /\ I262 = I262 /\ I261 = I261 /\ I257 = I257 /\ 1 <= I256 /\ 2 <= I256] 141.00/138.69 f3(I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302) -> f5(I274, I275, rnd3, I277, I278, I303, I280, I304, I282, I283, I284, I285, I286, rnd14, I288, I289, I305, I306, I292, I293, I294, I296, I307, I297, I298, I299, I300, I301, I302) [I305 = I305 /\ I306 = I306 /\ rnd14 = rnd14 /\ 1 + I281 <= I283 /\ I307 = I307 /\ I303 = I296 /\ I308 = 1 + I281 /\ I304 = I304 /\ 2 <= I304 /\ I304 <= 2 /\ I305 <= I283 /\ I283 <= I305 /\ I303 <= I306 /\ I306 <= I303 /\ I303 <= I296 /\ I296 <= I303 /\ I306 <= I296 /\ I296 <= I306 /\ 1 <= I283 /\ 2 <= I283 /\ rnd3 = rnd3 /\ rnd3 <= I304 /\ I304 <= rnd3] 141.00/138.69 f3(I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337) -> f4(I309, I310, I311, I338, I339, I340, I315, I341, I317, I342, I319, I320, I321, I322, I323, I327, I343, I344, I327, I345, I346, I347, I348, I332, I349, I350, I351, I352, I353) [I354 = I354 /\ I318 <= I316 /\ I355 = I314 /\ I356 = I355 /\ I342 = I342 /\ I341 = I341 /\ I345 = I345 /\ I340 = I340 /\ I344 = I344 /\ I347 = I347 /\ I348 = I348 /\ I357 = I356 /\ B4 = B4 /\ I358 = I357 /\ 1 <= I354 /\ I354 <= 1 /\ I358 <= I357 /\ I357 <= I358 /\ 1 <= I354 /\ I354 <= 1 /\ I359 = I359 /\ I360 = I360 /\ 0 <= I358 /\ I358 <= 0 /\ 1 <= I359 /\ I359 <= 1 /\ 1 <= I359 /\ I359 <= 1 /\ I361 = I361 /\ 0 <= I358 /\ I358 <= 0 /\ I362 = I360 /\ I363 = 0 /\ y18 = I362 /\ y23 = I363 /\ y21 = y18 /\ 0 <= I358 /\ I358 <= 0 /\ 0 <= I363 /\ I363 <= 0 /\ 0 <= y23 /\ y23 <= 0 /\ 1 <= I361 /\ I361 <= 1 /\ I360 <= I362 /\ I362 <= I360 /\ I360 <= y18 /\ y18 <= I360 /\ I360 <= y21 /\ y21 <= I360 /\ I362 <= y18 /\ y18 <= I362 /\ I363 <= y23 /\ y23 <= I363 /\ y18 <= y21 /\ y21 <= y18 /\ 1 <= I361 /\ I361 <= 1 /\ I343 = I343 /\ I349 = I349 /\ I364 = I364 /\ y17 = y17 /\ I365 = I365 /\ y19 = y19 /\ I366 = y21 /\ 0 <= I349 /\ I349 <= 0 /\ 0 <= I365 /\ I365 <= 0 /\ 0 <= y23 /\ y23 <= 0 /\ 0 <= y21 /\ y21 <= 0 /\ 1 <= I343 /\ I343 <= 1 /\ I364 <= y17 /\ y17 <= I364 /\ I364 <= y19 /\ y19 <= I364 /\ I364 <= I366 /\ I366 <= I364 /\ y17 <= y19 /\ y19 <= y17 /\ I365 <= y23 /\ y23 <= I365 /\ 1 <= I343 /\ I343 <= 1 /\ I339 = I339 /\ y23 <= y21 /\ y21 <= y23 /\ y20 = y20 /\ y24 = y24 /\ y22 = y22 /\ B5 = B5 /\ B6 = B6 /\ I350 = I350 /\ I338 = I338 /\ I351 = I351 /\ I353 = I353 /\ I352 = I352 /\ I346 = I346] 141.00/138.69 f1(I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) -> f2(I367, I368, I369, I370, I371, 0, I373, 0, I375, I396, rnd11, I378, I379, I380, I381, I382, I397, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) [I398 = I398 /\ I397 = I398 /\ rnd11 = rnd11 /\ I396 = I397 /\ 0 <= 0 /\ 0 <= 0 /\ 0 <= 0 /\ 0 <= 0 /\ I397 <= I396 /\ I396 <= I397] 141.00/138.69 141.00/138.69 The dependency graph for this problem is: 141.00/138.69 0 -> 8 141.00/138.69 1 -> 7 141.00/138.69 2 -> 3, 4 141.00/138.69 3 -> 2 141.00/138.69 4 -> 6 141.00/138.69 5 -> 6 141.00/138.69 6 -> 5 141.00/138.69 7 -> 3, 4 141.00/138.69 8 -> 1 141.00/138.69 Where: 141.00/138.69 0) f9#(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, x26, x27, x28, x29) -> f1#(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, x26, x27, x28, x29) 141.00/138.69 1) f2#(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, I25, I26, I27, I28) -> f3#(I0, I1, I2, I3, I4, rnd6, I6, 1 + I7, I8, I9, I10, I11, I12, I13, I14, I15, rnd17, rnd18, I18, I19, I20, I22, rnd23, I23, I24, I25, I26, I27, I28) [1 <= I9 /\ I22 <= rnd18 /\ rnd18 <= I22 /\ I22 <= rnd6 /\ rnd6 <= I22 /\ rnd18 <= rnd6 /\ rnd6 <= rnd18 /\ I9 <= rnd17 /\ rnd17 <= I9 /\ 1 + I7 <= 1 /\ 1 <= 1 + I7 /\ rnd6 = I22 /\ rnd23 = rnd23 /\ 1 + I7 <= I9 /\ rnd18 = rnd18 /\ rnd17 = rnd17] 141.00/138.69 2) f8#(I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90) -> f5#(I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90) 141.00/138.69 3) f5#(I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119) -> f8#(I91, I92, I93, I94, I95, I120, I97, 1 + I98, rnd9, I100, I101, I102, I103, I104, rnd15, I106, I107, I108, I109, I110, I111, I113, I121, I114, I115, I116, I117, I118, I119) [1 + rnd9 <= I100 /\ -1 + 1 + I98 <= rnd9 /\ rnd9 <= -1 + 1 + I98 /\ 1 + rnd9 <= 1 + I98 /\ 1 + I98 <= 1 + rnd9 /\ I120 = I113 /\ I121 = I121 /\ 1 + I98 <= I100 /\ rnd9 = rnd9 /\ rnd15 = rnd15 /\ 0 <= I98] 141.00/138.69 4) f5#(I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150) -> f6#(I122, I123, I124, I125, I151, I152, rnd7, I153, I130, I154, I132, I133, I134, I135, I136, rnd16, I155, I156, I140, I157, I142, I158, I159, I145, I160, I147, I148, I149, I150) [0 <= I129 /\ I161 = I161 /\ I131 <= I129 /\ I162 = I127 /\ I163 = I162 /\ I154 = I154 /\ I153 = I153 /\ I157 = I157 /\ I152 = I152 /\ I156 = I156 /\ I158 = I158 /\ I159 = I159 /\ I164 = I163 /\ rnd16 = rnd16 /\ I160 = I164 /\ I160 <= I164 /\ I164 <= I160 /\ 1 <= I161 /\ 2 <= I161 /\ I161 <= I153 /\ 0 <= I153 /\ I155 = I155 /\ I151 = I151 /\ rnd7 = rnd7 /\ 1 <= I155 /\ 2 <= I155 /\ I155 <= rnd7] 141.00/138.69 5) f7#(I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193) -> f6#(I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193) 141.00/138.69 6) f6#(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222) -> f7#(rnd1, rnd2, I196, I197, I223, I199, I200, I201, I202, I203, I204, rnd12, rnd13, I207, I208, I209, I224, I211, I212, I213, I214, I215, I216, rnd24, I218, I219, I220, I221, I222) [rnd2 <= rnd1 /\ rnd1 <= rnd2 /\ rnd1 = rnd1 /\ rnd12 <= rnd13 /\ rnd13 <= rnd12 /\ rnd13 = rnd13 /\ 2 <= I224 /\ 1 <= I224 /\ rnd12 <= I206 /\ I206 <= rnd12 /\ rnd2 <= I194 /\ I194 <= rnd2 /\ rnd24 <= I218 /\ I218 <= rnd24 /\ -1 * I194 + rnd2 <= 0 /\ 0 <= -1 * I194 + rnd2 /\ rnd2 = rnd2 /\ rnd12 = rnd12 /\ rnd24 = rnd24 /\ I223 = I223 /\ I224 = I224 /\ 0 <= I194] 141.00/138.69 7) f3#(I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302) -> f5#(I274, I275, rnd3, I277, I278, I303, I280, I304, I282, I283, I284, I285, I286, rnd14, I288, I289, I305, I306, I292, I293, I294, I296, I307, I297, I298, I299, I300, I301, I302) [I305 = I305 /\ I306 = I306 /\ rnd14 = rnd14 /\ 1 + I281 <= I283 /\ I307 = I307 /\ I303 = I296 /\ I308 = 1 + I281 /\ I304 = I304 /\ 2 <= I304 /\ I304 <= 2 /\ I305 <= I283 /\ I283 <= I305 /\ I303 <= I306 /\ I306 <= I303 /\ I303 <= I296 /\ I296 <= I303 /\ I306 <= I296 /\ I296 <= I306 /\ 1 <= I283 /\ 2 <= I283 /\ rnd3 = rnd3 /\ rnd3 <= I304 /\ I304 <= rnd3] 141.00/138.69 8) f1#(I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) -> f2#(I367, I368, I369, I370, I371, 0, I373, 0, I375, I396, rnd11, I378, I379, I380, I381, I382, I397, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) [I398 = I398 /\ I397 = I398 /\ rnd11 = rnd11 /\ I396 = I397 /\ 0 <= 0 /\ 0 <= 0 /\ 0 <= 0 /\ 0 <= 0 /\ I397 <= I396 /\ I396 <= I397] 141.00/138.69 141.00/138.69 We have the following SCCs. 141.00/138.69 { 2, 3 } 141.00/138.69 { 5, 6 } 141.00/138.69 141.00/138.69 DP problem for innermost termination. 141.00/138.69 P = 141.00/138.69 f7#(I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193) -> f6#(I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193) 141.00/138.69 f6#(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222) -> f7#(rnd1, rnd2, I196, I197, I223, I199, I200, I201, I202, I203, I204, rnd12, rnd13, I207, I208, I209, I224, I211, I212, I213, I214, I215, I216, rnd24, I218, I219, I220, I221, I222) [rnd2 <= rnd1 /\ rnd1 <= rnd2 /\ rnd1 = rnd1 /\ rnd12 <= rnd13 /\ rnd13 <= rnd12 /\ rnd13 = rnd13 /\ 2 <= I224 /\ 1 <= I224 /\ rnd12 <= I206 /\ I206 <= rnd12 /\ rnd2 <= I194 /\ I194 <= rnd2 /\ rnd24 <= I218 /\ I218 <= rnd24 /\ -1 * I194 + rnd2 <= 0 /\ 0 <= -1 * I194 + rnd2 /\ rnd2 = rnd2 /\ rnd12 = rnd12 /\ rnd24 = rnd24 /\ I223 = I223 /\ I224 = I224 /\ 0 <= I194] 141.00/138.69 R = 141.00/138.69 f9(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, x26, x27, x28, x29) -> f1(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, x26, x27, x28, x29) 141.00/138.69 f2(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, I25, I26, I27, I28) -> f3(I0, I1, I2, I3, I4, rnd6, I6, 1 + I7, I8, I9, I10, I11, I12, I13, I14, I15, rnd17, rnd18, I18, I19, I20, I22, rnd23, I23, I24, I25, I26, I27, I28) [1 <= I9 /\ I22 <= rnd18 /\ rnd18 <= I22 /\ I22 <= rnd6 /\ rnd6 <= I22 /\ rnd18 <= rnd6 /\ rnd6 <= rnd18 /\ I9 <= rnd17 /\ rnd17 <= I9 /\ 1 + I7 <= 1 /\ 1 <= 1 + I7 /\ rnd6 = I22 /\ rnd23 = rnd23 /\ 1 + I7 <= I9 /\ rnd18 = rnd18 /\ rnd17 = rnd17] 141.00/138.69 f2(I29, I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57) -> f4(I29, I30, I31, rnd4, rnd5, I58, I35, rnd8, I37, rnd10, I39, I40, I41, I42, I43, I47, I59, I60, I47, rnd20, rnd21, rnd22, I61, I52, rnd25, rnd26, rnd27, rnd28, rnd29) [y5 = y5 /\ I38 <= I36 /\ y7 = I34 /\ y3 = y7 /\ rnd10 = rnd10 /\ rnd8 = rnd8 /\ rnd20 = rnd20 /\ I58 = I58 /\ I60 = I60 /\ rnd22 = rnd22 /\ I61 = I61 /\ rnd5 = y3 /\ y4 = y4 /\ rnd25 = rnd5 /\ 0 <= rnd25 /\ rnd25 <= 0 /\ 0 <= rnd5 /\ rnd5 <= 0 /\ rnd25 <= rnd5 /\ rnd5 <= rnd25 /\ y5 <= 0 /\ y6 = y6 /\ 0 <= rnd25 /\ rnd25 <= 0 /\ y9 = rnd5 /\ y1 = 0 /\ y10 = y9 /\ y14 = y1 /\ y12 = y10 /\ 0 <= rnd25 /\ rnd25 <= 0 /\ 0 <= rnd5 /\ rnd5 <= 0 /\ 0 <= y9 /\ y9 <= 0 /\ 0 <= y1 /\ y1 <= 0 /\ 0 <= y10 /\ y10 <= 0 /\ 0 <= y14 /\ y14 <= 0 /\ 0 <= y12 /\ y12 <= 0 /\ rnd25 <= rnd5 /\ rnd5 <= rnd25 /\ rnd5 <= y9 /\ y9 <= rnd5 /\ y9 <= y10 /\ y10 <= y9 /\ y1 <= y14 /\ y14 <= y1 /\ y10 <= y12 /\ y12 <= y10 /\ y6 <= 0 /\ I59 = I59 /\ y14 <= y12 /\ y12 <= y14 /\ y11 = y11 /\ y15 = y15 /\ y13 = y13 /\ y8 = y8 /\ y2 = y2 /\ rnd26 = rnd26 /\ rnd4 = rnd4 /\ rnd27 = rnd27 /\ rnd29 = rnd29 /\ rnd28 = rnd28 /\ rnd21 = rnd21 /\ I59 <= 0] 141.00/138.69 f8(I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90) -> f5(I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90) 141.00/138.69 f5(I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119) -> f8(I91, I92, I93, I94, I95, I120, I97, 1 + I98, rnd9, I100, I101, I102, I103, I104, rnd15, I106, I107, I108, I109, I110, I111, I113, I121, I114, I115, I116, I117, I118, I119) [1 + rnd9 <= I100 /\ -1 + 1 + I98 <= rnd9 /\ rnd9 <= -1 + 1 + I98 /\ 1 + rnd9 <= 1 + I98 /\ 1 + I98 <= 1 + rnd9 /\ I120 = I113 /\ I121 = I121 /\ 1 + I98 <= I100 /\ rnd9 = rnd9 /\ rnd15 = rnd15 /\ 0 <= I98] 141.00/138.69 f5(I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150) -> f6(I122, I123, I124, I125, I151, I152, rnd7, I153, I130, I154, I132, I133, I134, I135, I136, rnd16, I155, I156, I140, I157, I142, I158, I159, I145, I160, I147, I148, I149, I150) [0 <= I129 /\ I161 = I161 /\ I131 <= I129 /\ I162 = I127 /\ I163 = I162 /\ I154 = I154 /\ I153 = I153 /\ I157 = I157 /\ I152 = I152 /\ I156 = I156 /\ I158 = I158 /\ I159 = I159 /\ I164 = I163 /\ rnd16 = rnd16 /\ I160 = I164 /\ I160 <= I164 /\ I164 <= I160 /\ 1 <= I161 /\ 2 <= I161 /\ I161 <= I153 /\ 0 <= I153 /\ I155 = I155 /\ I151 = I151 /\ rnd7 = rnd7 /\ 1 <= I155 /\ 2 <= I155 /\ I155 <= rnd7] 141.00/138.69 f7(I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193) -> f6(I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193) 141.00/138.69 f6(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222) -> f7(rnd1, rnd2, I196, I197, I223, I199, I200, I201, I202, I203, I204, rnd12, rnd13, I207, I208, I209, I224, I211, I212, I213, I214, I215, I216, rnd24, I218, I219, I220, I221, I222) [rnd2 <= rnd1 /\ rnd1 <= rnd2 /\ rnd1 = rnd1 /\ rnd12 <= rnd13 /\ rnd13 <= rnd12 /\ rnd13 = rnd13 /\ 2 <= I224 /\ 1 <= I224 /\ rnd12 <= I206 /\ I206 <= rnd12 /\ rnd2 <= I194 /\ I194 <= rnd2 /\ rnd24 <= I218 /\ I218 <= rnd24 /\ -1 * I194 + rnd2 <= 0 /\ 0 <= -1 * I194 + rnd2 /\ rnd2 = rnd2 /\ rnd12 = rnd12 /\ rnd24 = rnd24 /\ I223 = I223 /\ I224 = I224 /\ 0 <= I194] 141.00/138.69 f6(I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253) -> f4(I225, I226, I227, I254, I255, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I243, I256, I242, I243, I244, I257, I246, I247, I248, I258, I259, I260, I261, I262) [0 <= I225 /\ I263 = I263 /\ 0 <= I249 /\ I249 <= 0 /\ I264 = I229 /\ I265 = 0 /\ I266 = I264 /\ I267 = I265 /\ I268 = I266 /\ 0 <= I249 /\ I249 <= 0 /\ 0 <= I265 /\ I265 <= 0 /\ 0 <= I267 /\ I267 <= 0 /\ I229 <= I264 /\ I264 <= I229 /\ I229 <= I266 /\ I266 <= I229 /\ I229 <= I268 /\ I268 <= I229 /\ I264 <= I266 /\ I266 <= I264 /\ I265 <= I267 /\ I267 <= I265 /\ I266 <= I268 /\ I268 <= I266 /\ 1 <= I263 /\ 2 <= I263 /\ I269 = I269 /\ I258 = I258 /\ I255 = I255 /\ I270 = I270 /\ I271 = I271 /\ I272 = I272 /\ I273 = I268 /\ 0 <= I258 /\ I258 <= 0 /\ 0 <= I271 /\ I271 <= 0 /\ 0 <= I267 /\ I267 <= 0 /\ 0 <= I268 /\ I268 <= 0 /\ I255 <= I270 /\ I270 <= I255 /\ I255 <= I272 /\ I272 <= I255 /\ I255 <= I273 /\ I273 <= I255 /\ I270 <= I272 /\ I272 <= I270 /\ I271 <= I267 /\ I267 <= I271 /\ 1 <= I269 /\ 2 <= I269 /\ I256 = I256 /\ I267 <= I268 /\ I268 <= I267 /\ B0 = B0 /\ y16 = y16 /\ B1 = B1 /\ B2 = B2 /\ B3 = B3 /\ I259 = I259 /\ I254 = I254 /\ I260 = I260 /\ I262 = I262 /\ I261 = I261 /\ I257 = I257 /\ 1 <= I256 /\ 2 <= I256] 141.00/138.69 f3(I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302) -> f5(I274, I275, rnd3, I277, I278, I303, I280, I304, I282, I283, I284, I285, I286, rnd14, I288, I289, I305, I306, I292, I293, I294, I296, I307, I297, I298, I299, I300, I301, I302) [I305 = I305 /\ I306 = I306 /\ rnd14 = rnd14 /\ 1 + I281 <= I283 /\ I307 = I307 /\ I303 = I296 /\ I308 = 1 + I281 /\ I304 = I304 /\ 2 <= I304 /\ I304 <= 2 /\ I305 <= I283 /\ I283 <= I305 /\ I303 <= I306 /\ I306 <= I303 /\ I303 <= I296 /\ I296 <= I303 /\ I306 <= I296 /\ I296 <= I306 /\ 1 <= I283 /\ 2 <= I283 /\ rnd3 = rnd3 /\ rnd3 <= I304 /\ I304 <= rnd3] 141.00/138.69 f3(I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337) -> f4(I309, I310, I311, I338, I339, I340, I315, I341, I317, I342, I319, I320, I321, I322, I323, I327, I343, I344, I327, I345, I346, I347, I348, I332, I349, I350, I351, I352, I353) [I354 = I354 /\ I318 <= I316 /\ I355 = I314 /\ I356 = I355 /\ I342 = I342 /\ I341 = I341 /\ I345 = I345 /\ I340 = I340 /\ I344 = I344 /\ I347 = I347 /\ I348 = I348 /\ I357 = I356 /\ B4 = B4 /\ I358 = I357 /\ 1 <= I354 /\ I354 <= 1 /\ I358 <= I357 /\ I357 <= I358 /\ 1 <= I354 /\ I354 <= 1 /\ I359 = I359 /\ I360 = I360 /\ 0 <= I358 /\ I358 <= 0 /\ 1 <= I359 /\ I359 <= 1 /\ 1 <= I359 /\ I359 <= 1 /\ I361 = I361 /\ 0 <= I358 /\ I358 <= 0 /\ I362 = I360 /\ I363 = 0 /\ y18 = I362 /\ y23 = I363 /\ y21 = y18 /\ 0 <= I358 /\ I358 <= 0 /\ 0 <= I363 /\ I363 <= 0 /\ 0 <= y23 /\ y23 <= 0 /\ 1 <= I361 /\ I361 <= 1 /\ I360 <= I362 /\ I362 <= I360 /\ I360 <= y18 /\ y18 <= I360 /\ I360 <= y21 /\ y21 <= I360 /\ I362 <= y18 /\ y18 <= I362 /\ I363 <= y23 /\ y23 <= I363 /\ y18 <= y21 /\ y21 <= y18 /\ 1 <= I361 /\ I361 <= 1 /\ I343 = I343 /\ I349 = I349 /\ I364 = I364 /\ y17 = y17 /\ I365 = I365 /\ y19 = y19 /\ I366 = y21 /\ 0 <= I349 /\ I349 <= 0 /\ 0 <= I365 /\ I365 <= 0 /\ 0 <= y23 /\ y23 <= 0 /\ 0 <= y21 /\ y21 <= 0 /\ 1 <= I343 /\ I343 <= 1 /\ I364 <= y17 /\ y17 <= I364 /\ I364 <= y19 /\ y19 <= I364 /\ I364 <= I366 /\ I366 <= I364 /\ y17 <= y19 /\ y19 <= y17 /\ I365 <= y23 /\ y23 <= I365 /\ 1 <= I343 /\ I343 <= 1 /\ I339 = I339 /\ y23 <= y21 /\ y21 <= y23 /\ y20 = y20 /\ y24 = y24 /\ y22 = y22 /\ B5 = B5 /\ B6 = B6 /\ I350 = I350 /\ I338 = I338 /\ I351 = I351 /\ I353 = I353 /\ I352 = I352 /\ I346 = I346] 141.00/138.69 f1(I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) -> f2(I367, I368, I369, I370, I371, 0, I373, 0, I375, I396, rnd11, I378, I379, I380, I381, I382, I397, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) [I398 = I398 /\ I397 = I398 /\ rnd11 = rnd11 /\ I396 = I397 /\ 0 <= 0 /\ 0 <= 0 /\ 0 <= 0 /\ 0 <= 0 /\ I397 <= I396 /\ I396 <= I397] 141.00/138.69 141.00/141.66 EOF