92.33/91.68	YES
92.33/91.68	
92.33/91.68	DP problem for innermost termination.
92.33/91.68	P =
92.33/91.68	  init#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f1#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13) 
92.33/91.68	  f8#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f7#(I13, I14, I15, I2 + 1, I7, I8, I12, I9, I16, I17, I18, I19, I20) [I11 + 2 <= I4 /\ I10 + 2 <= I4 /\ I8 + 3 <= I0 /\ I7 + 3 <= I0 /\ 0 <= I15 - 1 /\ 0 <= I14 - 1 /\ 3 <= I13 - 1 /\ 0 <= I5 - 1 /\ 1 <= I4 - 1 /\ -1 <= I3 - 1 /\ 0 <= I1 - 1 /\ 3 <= I0 - 1 /\ I15 <= I5 /\ I15 + 1 <= I4 /\ I15 - 1 <= I3 /\ I15 <= I1 /\ I15 + 3 <= I0 /\ I14 <= I5 /\ I14 + 1 <= I4 /\ I14 - 1 <= I3 /\ I14 <= I1 /\ I14 + 3 <= I0 /\ I13 <= I0 /\ I6 <= I12 - 1 /\ -1 <= I9 - 1]
92.33/91.68	  f7#(I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) -> f7#(I34, I35, I36, I24 + 1, I25, I26, I27, I28, I37, I38, I39, I40, I41) [I26 + 3 <= I21 /\ I25 + 3 <= I21 /\ 0 <= I36 - 1 /\ 0 <= I35 - 1 /\ 3 <= I34 - 1 /\ 0 <= I23 - 1 /\ 0 <= I22 - 1 /\ 3 <= I21 - 1 /\ I36 <= I23 /\ I36 <= I22 /\ I36 + 3 <= I21 /\ I35 <= I23 /\ I35 <= I22 /\ I35 + 3 <= I21 /\ I34 <= I21 /\ I24 <= I28 - 1 /\ -1 <= I28 - 1]
92.33/91.68	  f8#(I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f8#(I55, I56, I44, I57, I58, I59, I60, I49, I50, I51, I61, I62, I54) [I53 + 2 <= I46 /\ I62 + 4 <= I46 /\ I61 + 4 <= I46 /\ I52 + 2 <= I46 /\ I62 + 2 <= I45 /\ I61 + 2 <= I45 /\ I50 + 3 <= I42 /\ I49 + 3 <= I42 /\ 0 <= I59 - 1 /\ 0 <= I58 - 1 /\ -1 <= I57 - 1 /\ 0 <= I56 - 1 /\ 3 <= I55 - 1 /\ 0 <= I47 - 1 /\ 2 <= I46 - 1 /\ 0 <= I45 - 1 /\ 0 <= I43 - 1 /\ 3 <= I42 - 1 /\ I59 <= I47 /\ I59 + 2 <= I46 /\ I59 <= I45 /\ I59 <= I43 /\ I59 + 3 <= I42 /\ I58 + 2 <= I46 /\ I58 <= I45 /\ I57 + 3 <= I46 /\ I57 + 1 <= I45 /\ I56 <= I47 /\ I56 + 2 <= I46 /\ I56 <= I45 /\ I56 <= I43 /\ I56 + 3 <= I42 /\ I55 <= I42 /\ 0 <= I54 - 1 /\ I48 <= I54 - 1]
92.33/91.68	  f7#(I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f8#(I76, I77, I66, I78, I79, I80, I81, I67, I68, I70, I82, I83, I69) [I68 + 3 <= I63 /\ I67 + 3 <= I63 /\ 0 <= I80 - 1 /\ 0 <= I79 - 1 /\ -1 <= I78 - 1 /\ 0 <= I77 - 1 /\ 3 <= I76 - 1 /\ 0 <= I65 - 1 /\ 0 <= I64 - 1 /\ 3 <= I63 - 1 /\ I80 <= I65 /\ I80 <= I64 /\ I80 + 3 <= I63 /\ I77 <= I65 /\ I77 <= I64 /\ I77 + 3 <= I63 /\ I76 <= I63 /\ I66 <= I70 - 1 /\ 0 <= I69 - 1]
92.33/91.68	  f5#(I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96) -> f7#(I97, I98, I99, 0, I91 + 1, I92, 2 * I90, I90, I100, I101, I102, I103, I104) [I92 + 3 <= I84 /\ I91 + 3 <= I84 /\ 0 <= I99 - 1 /\ 0 <= I98 - 1 /\ 3 <= I97 - 1 /\ -1 <= I87 - 1 /\ 3 <= I84 - 1 /\ I99 - 1 <= I87 /\ I99 + 3 <= I84 /\ I98 - 1 <= I87 /\ I98 + 3 <= I84 /\ I97 - 1 <= I84 /\ I92 <= I91 /\ 0 <= 2 * I90 /\ 1073741824 <= I90 - 1 /\ I86 <= I90 - 1]
92.33/91.68	  f5#(I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117) -> f7#(I118, I119, I120, 0, I112 + 1, I113, 2 * I111, I111, I121, I122, I123, I124, I125) [I113 + 3 <= I105 /\ I112 + 3 <= I105 /\ 0 <= I120 - 1 /\ 0 <= I119 - 1 /\ 3 <= I118 - 1 /\ -1 <= I108 - 1 /\ 3 <= I105 - 1 /\ I120 - 1 <= I108 /\ I120 + 3 <= I105 /\ I119 - 1 <= I108 /\ I119 + 3 <= I105 /\ I118 - 1 <= I105 /\ I111 <= 1073741823 /\ 0 <= 2 * I111 /\ I113 <= I112 /\ 1 <= I111 - 1 /\ I107 <= I111 - 1]
92.33/91.68	  f6#(I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f5#(I139, I133, I127, I140, I141, I142, I130, I131, I132, I143, I144, I145, I146) [0 = I129 /\ I135 + 4 <= I128 /\ I133 + 2 <= I128 /\ I132 + 3 <= I126 /\ I131 + 3 <= I126 /\ -1 <= I140 - 1 /\ 3 <= I139 - 1 /\ -1 <= I134 - 1 /\ 2 <= I128 - 1 /\ 3 <= I126 - 1 /\ I140 <= I134 /\ I140 + 2 <= I128 /\ I139 <= I126]
92.33/91.68	  f5#(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) -> f5#(I160, I148, I149, I161, I151, I152, I153, I154, I155, I162, I163, I164, I165) [I148 + 2 <= I150 /\ I155 + 3 <= I147 /\ I154 + 3 <= I147 /\ -1 <= I161 - 1 /\ 3 <= I160 - 1 /\ 2 <= I150 - 1 /\ 3 <= I147 - 1 /\ I161 + 2 <= I150 /\ 1 <= I153 - 1 /\ I160 <= I147]
92.33/91.68	  f5#(I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178) -> f5#(I179, I167, I168, I180, I170, I171, I172, I173, I174, I181, I182, I183, I184) [I167 + 2 <= I169 /\ I174 + 3 <= I166 /\ I173 + 3 <= I166 /\ -1 <= I180 - 1 /\ 3 <= I179 - 1 /\ 1 <= I169 - 1 /\ 3 <= I166 - 1 /\ I180 + 2 <= I169 /\ 1 <= I172 - 1 /\ I179 <= I166]
92.33/91.68	  f5#(I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) -> f5#(I198, I186, I187, I199, I189, I190, I191, I192, I193, I200, I201, I202, I203) [I198 <= I185 /\ I186 <= y1 - 1 /\ I199 + 1 <= I188 /\ 3 <= I185 - 1 /\ 0 <= I188 - 1 /\ 3 <= I198 - 1 /\ -1 <= I199 - 1 /\ I192 + 3 <= I185 /\ I193 + 3 <= I185]
92.33/91.68	  f5#(I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216) -> f5#(I217, I205, I206, I218, I208, I209, I210, I211, I212, I219, I220, I221, I222) [I217 <= I204 /\ I223 <= I205 - 1 /\ I218 + 1 <= I207 /\ 3 <= I204 - 1 /\ 0 <= I207 - 1 /\ 3 <= I217 - 1 /\ -1 <= I218 - 1 /\ I211 + 3 <= I204 /\ I212 + 3 <= I204]
92.33/91.68	  f5#(I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236) -> f6#(I237, I226, I238, 1, I230, I231, I232, I225, I239, I240, I241, I242, I243) [I240 + 4 <= I227 /\ I225 + 2 <= I227 /\ I232 + 3 <= I224 /\ I231 + 3 <= I224 /\ -1 <= I239 - 1 /\ 2 <= I238 - 1 /\ 3 <= I237 - 1 /\ 2 <= I227 - 1 /\ 3 <= I224 - 1 /\ I239 + 2 <= I227 /\ I238 <= I227 /\ 1 <= I230 - 1 /\ I237 <= I224]
92.33/91.68	  f5#(I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256) -> f6#(I257, I246, I258, 0, I250, I251, I252, I245, I259, I260, I261, I262, I263) [I260 + 4 <= I247 /\ I245 + 2 <= I247 /\ I252 + 3 <= I244 /\ I251 + 3 <= I244 /\ -1 <= I259 - 1 /\ 2 <= I258 - 1 /\ 3 <= I257 - 1 /\ 2 <= I247 - 1 /\ 3 <= I244 - 1 /\ I259 + 2 <= I247 /\ I258 <= I247 /\ 1 <= I250 - 1 /\ I257 <= I244]
92.33/91.68	  f4#(I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276) -> f5#(I277, I278, I279, I280, I266, I267 + 2, I268, I269, I270, I281, I282, I283, I284) [I267 + 1 <= I266 - 1 /\ 1 <= I268 - 1 /\ 0 <= I265 - 1 /\ -1 <= I266 - 1 /\ -1 <= I267 - 1 /\ -1 <= I285 - 1 /\ -1 <= y2 - 1 /\ I279 <= I268 - 1 /\ I277 <= I264 /\ 3 <= I264 - 1 /\ 3 <= I277 - 1 /\ -1 <= I280 - 1 /\ I270 + 3 <= I264 /\ I269 + 3 <= I264]
92.33/91.68	  f4#(I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298) -> f4#(I299, I287 - 1, I288, I289 + 2, I300, I301, I302, I303, I304, I305, I306, I307, I308) [0 <= I287 - 1 /\ I289 + 1 <= I288 - 1 /\ -1 <= I288 - 1 /\ -1 <= I289 - 1 /\ -1 <= I309 - 1 /\ -1 <= I310 - 1 /\ 1 <= I290 - 1 /\ 3 <= I286 - 1 /\ 3 <= I299 - 1 /\ I292 + 3 <= I286 /\ I291 + 3 <= I286]
92.33/91.68	  f1#(I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323) -> f4#(I324, I325, I312, 1, 16, 0, 12, I326, I327, I328, I329, I330, I331) [14 <= I324 - 1 /\ 0 <= I311 - 1 /\ I324 - 14 <= I311 /\ 0 <= I312 - 1 /\ -1 <= I325 - 1]
92.33/91.68	  f2#(I332, I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344) -> f2#(I345, I346, I334 + 1, I335, I336, I337, I347, I348, I349, I350, I351, I352, I353) [I336 + 3 <= I332 /\ I335 + 3 <= I332 /\ 0 <= I346 - 1 /\ 3 <= I345 - 1 /\ 0 <= I333 - 1 /\ 3 <= I332 - 1 /\ I346 <= I333 /\ I346 + 3 <= I332 /\ I345 <= I332 /\ I334 <= I337 - 1 /\ -1 <= I337 - 1]
92.33/91.68	  f3#(I354, I355, I356, I357, I358, I359, I360, I361, I362, I363, I364, I365, I366) -> f2#(I367, I368, 0, I356, 12, 16, I369, I370, I371, I372, I373, I374, I375) [12 = I357 /\ 16 = I355 /\ I356 + 3 <= I354 /\ 0 <= I368 - 1 /\ 14 <= I367 - 1 /\ 14 <= I354 - 1 /\ I368 + 14 <= I354 /\ I367 <= I354]
92.33/91.68	  f1#(I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388) -> f2#(I389, I390, 0, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400) [-1 <= I393 - 1 /\ 0 <= I377 - 1 /\ -1 <= I401 - 1 /\ I390 <= I376 /\ 0 <= I376 - 1 /\ 3 <= I389 - 1 /\ 0 <= I390 - 1]
92.33/91.68	R = 
92.33/91.68	  init(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13) 
92.33/91.68	  f8(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f7(I13, I14, I15, I2 + 1, I7, I8, I12, I9, I16, I17, I18, I19, I20) [I11 + 2 <= I4 /\ I10 + 2 <= I4 /\ I8 + 3 <= I0 /\ I7 + 3 <= I0 /\ 0 <= I15 - 1 /\ 0 <= I14 - 1 /\ 3 <= I13 - 1 /\ 0 <= I5 - 1 /\ 1 <= I4 - 1 /\ -1 <= I3 - 1 /\ 0 <= I1 - 1 /\ 3 <= I0 - 1 /\ I15 <= I5 /\ I15 + 1 <= I4 /\ I15 - 1 <= I3 /\ I15 <= I1 /\ I15 + 3 <= I0 /\ I14 <= I5 /\ I14 + 1 <= I4 /\ I14 - 1 <= I3 /\ I14 <= I1 /\ I14 + 3 <= I0 /\ I13 <= I0 /\ I6 <= I12 - 1 /\ -1 <= I9 - 1]
92.33/91.68	  f7(I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) -> f7(I34, I35, I36, I24 + 1, I25, I26, I27, I28, I37, I38, I39, I40, I41) [I26 + 3 <= I21 /\ I25 + 3 <= I21 /\ 0 <= I36 - 1 /\ 0 <= I35 - 1 /\ 3 <= I34 - 1 /\ 0 <= I23 - 1 /\ 0 <= I22 - 1 /\ 3 <= I21 - 1 /\ I36 <= I23 /\ I36 <= I22 /\ I36 + 3 <= I21 /\ I35 <= I23 /\ I35 <= I22 /\ I35 + 3 <= I21 /\ I34 <= I21 /\ I24 <= I28 - 1 /\ -1 <= I28 - 1]
92.33/91.68	  f8(I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f8(I55, I56, I44, I57, I58, I59, I60, I49, I50, I51, I61, I62, I54) [I53 + 2 <= I46 /\ I62 + 4 <= I46 /\ I61 + 4 <= I46 /\ I52 + 2 <= I46 /\ I62 + 2 <= I45 /\ I61 + 2 <= I45 /\ I50 + 3 <= I42 /\ I49 + 3 <= I42 /\ 0 <= I59 - 1 /\ 0 <= I58 - 1 /\ -1 <= I57 - 1 /\ 0 <= I56 - 1 /\ 3 <= I55 - 1 /\ 0 <= I47 - 1 /\ 2 <= I46 - 1 /\ 0 <= I45 - 1 /\ 0 <= I43 - 1 /\ 3 <= I42 - 1 /\ I59 <= I47 /\ I59 + 2 <= I46 /\ I59 <= I45 /\ I59 <= I43 /\ I59 + 3 <= I42 /\ I58 + 2 <= I46 /\ I58 <= I45 /\ I57 + 3 <= I46 /\ I57 + 1 <= I45 /\ I56 <= I47 /\ I56 + 2 <= I46 /\ I56 <= I45 /\ I56 <= I43 /\ I56 + 3 <= I42 /\ I55 <= I42 /\ 0 <= I54 - 1 /\ I48 <= I54 - 1]
92.33/91.68	  f7(I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f8(I76, I77, I66, I78, I79, I80, I81, I67, I68, I70, I82, I83, I69) [I68 + 3 <= I63 /\ I67 + 3 <= I63 /\ 0 <= I80 - 1 /\ 0 <= I79 - 1 /\ -1 <= I78 - 1 /\ 0 <= I77 - 1 /\ 3 <= I76 - 1 /\ 0 <= I65 - 1 /\ 0 <= I64 - 1 /\ 3 <= I63 - 1 /\ I80 <= I65 /\ I80 <= I64 /\ I80 + 3 <= I63 /\ I77 <= I65 /\ I77 <= I64 /\ I77 + 3 <= I63 /\ I76 <= I63 /\ I66 <= I70 - 1 /\ 0 <= I69 - 1]
92.33/91.68	  f5(I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96) -> f7(I97, I98, I99, 0, I91 + 1, I92, 2 * I90, I90, I100, I101, I102, I103, I104) [I92 + 3 <= I84 /\ I91 + 3 <= I84 /\ 0 <= I99 - 1 /\ 0 <= I98 - 1 /\ 3 <= I97 - 1 /\ -1 <= I87 - 1 /\ 3 <= I84 - 1 /\ I99 - 1 <= I87 /\ I99 + 3 <= I84 /\ I98 - 1 <= I87 /\ I98 + 3 <= I84 /\ I97 - 1 <= I84 /\ I92 <= I91 /\ 0 <= 2 * I90 /\ 1073741824 <= I90 - 1 /\ I86 <= I90 - 1]
92.33/91.68	  f5(I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117) -> f7(I118, I119, I120, 0, I112 + 1, I113, 2 * I111, I111, I121, I122, I123, I124, I125) [I113 + 3 <= I105 /\ I112 + 3 <= I105 /\ 0 <= I120 - 1 /\ 0 <= I119 - 1 /\ 3 <= I118 - 1 /\ -1 <= I108 - 1 /\ 3 <= I105 - 1 /\ I120 - 1 <= I108 /\ I120 + 3 <= I105 /\ I119 - 1 <= I108 /\ I119 + 3 <= I105 /\ I118 - 1 <= I105 /\ I111 <= 1073741823 /\ 0 <= 2 * I111 /\ I113 <= I112 /\ 1 <= I111 - 1 /\ I107 <= I111 - 1]
92.33/91.68	  f6(I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f5(I139, I133, I127, I140, I141, I142, I130, I131, I132, I143, I144, I145, I146) [0 = I129 /\ I135 + 4 <= I128 /\ I133 + 2 <= I128 /\ I132 + 3 <= I126 /\ I131 + 3 <= I126 /\ -1 <= I140 - 1 /\ 3 <= I139 - 1 /\ -1 <= I134 - 1 /\ 2 <= I128 - 1 /\ 3 <= I126 - 1 /\ I140 <= I134 /\ I140 + 2 <= I128 /\ I139 <= I126]
92.33/91.68	  f5(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) -> f5(I160, I148, I149, I161, I151, I152, I153, I154, I155, I162, I163, I164, I165) [I148 + 2 <= I150 /\ I155 + 3 <= I147 /\ I154 + 3 <= I147 /\ -1 <= I161 - 1 /\ 3 <= I160 - 1 /\ 2 <= I150 - 1 /\ 3 <= I147 - 1 /\ I161 + 2 <= I150 /\ 1 <= I153 - 1 /\ I160 <= I147]
92.33/91.68	  f5(I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178) -> f5(I179, I167, I168, I180, I170, I171, I172, I173, I174, I181, I182, I183, I184) [I167 + 2 <= I169 /\ I174 + 3 <= I166 /\ I173 + 3 <= I166 /\ -1 <= I180 - 1 /\ 3 <= I179 - 1 /\ 1 <= I169 - 1 /\ 3 <= I166 - 1 /\ I180 + 2 <= I169 /\ 1 <= I172 - 1 /\ I179 <= I166]
92.33/91.68	  f5(I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) -> f5(I198, I186, I187, I199, I189, I190, I191, I192, I193, I200, I201, I202, I203) [I198 <= I185 /\ I186 <= y1 - 1 /\ I199 + 1 <= I188 /\ 3 <= I185 - 1 /\ 0 <= I188 - 1 /\ 3 <= I198 - 1 /\ -1 <= I199 - 1 /\ I192 + 3 <= I185 /\ I193 + 3 <= I185]
92.33/91.68	  f5(I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216) -> f5(I217, I205, I206, I218, I208, I209, I210, I211, I212, I219, I220, I221, I222) [I217 <= I204 /\ I223 <= I205 - 1 /\ I218 + 1 <= I207 /\ 3 <= I204 - 1 /\ 0 <= I207 - 1 /\ 3 <= I217 - 1 /\ -1 <= I218 - 1 /\ I211 + 3 <= I204 /\ I212 + 3 <= I204]
92.33/91.68	  f5(I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236) -> f6(I237, I226, I238, 1, I230, I231, I232, I225, I239, I240, I241, I242, I243) [I240 + 4 <= I227 /\ I225 + 2 <= I227 /\ I232 + 3 <= I224 /\ I231 + 3 <= I224 /\ -1 <= I239 - 1 /\ 2 <= I238 - 1 /\ 3 <= I237 - 1 /\ 2 <= I227 - 1 /\ 3 <= I224 - 1 /\ I239 + 2 <= I227 /\ I238 <= I227 /\ 1 <= I230 - 1 /\ I237 <= I224]
92.33/91.68	  f5(I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256) -> f6(I257, I246, I258, 0, I250, I251, I252, I245, I259, I260, I261, I262, I263) [I260 + 4 <= I247 /\ I245 + 2 <= I247 /\ I252 + 3 <= I244 /\ I251 + 3 <= I244 /\ -1 <= I259 - 1 /\ 2 <= I258 - 1 /\ 3 <= I257 - 1 /\ 2 <= I247 - 1 /\ 3 <= I244 - 1 /\ I259 + 2 <= I247 /\ I258 <= I247 /\ 1 <= I250 - 1 /\ I257 <= I244]
92.33/91.68	  f4(I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276) -> f5(I277, I278, I279, I280, I266, I267 + 2, I268, I269, I270, I281, I282, I283, I284) [I267 + 1 <= I266 - 1 /\ 1 <= I268 - 1 /\ 0 <= I265 - 1 /\ -1 <= I266 - 1 /\ -1 <= I267 - 1 /\ -1 <= I285 - 1 /\ -1 <= y2 - 1 /\ I279 <= I268 - 1 /\ I277 <= I264 /\ 3 <= I264 - 1 /\ 3 <= I277 - 1 /\ -1 <= I280 - 1 /\ I270 + 3 <= I264 /\ I269 + 3 <= I264]
92.33/91.68	  f4(I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298) -> f4(I299, I287 - 1, I288, I289 + 2, I300, I301, I302, I303, I304, I305, I306, I307, I308) [0 <= I287 - 1 /\ I289 + 1 <= I288 - 1 /\ -1 <= I288 - 1 /\ -1 <= I289 - 1 /\ -1 <= I309 - 1 /\ -1 <= I310 - 1 /\ 1 <= I290 - 1 /\ 3 <= I286 - 1 /\ 3 <= I299 - 1 /\ I292 + 3 <= I286 /\ I291 + 3 <= I286]
92.33/91.68	  f1(I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323) -> f4(I324, I325, I312, 1, 16, 0, 12, I326, I327, I328, I329, I330, I331) [14 <= I324 - 1 /\ 0 <= I311 - 1 /\ I324 - 14 <= I311 /\ 0 <= I312 - 1 /\ -1 <= I325 - 1]
92.33/91.68	  f2(I332, I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344) -> f2(I345, I346, I334 + 1, I335, I336, I337, I347, I348, I349, I350, I351, I352, I353) [I336 + 3 <= I332 /\ I335 + 3 <= I332 /\ 0 <= I346 - 1 /\ 3 <= I345 - 1 /\ 0 <= I333 - 1 /\ 3 <= I332 - 1 /\ I346 <= I333 /\ I346 + 3 <= I332 /\ I345 <= I332 /\ I334 <= I337 - 1 /\ -1 <= I337 - 1]
92.33/91.68	  f3(I354, I355, I356, I357, I358, I359, I360, I361, I362, I363, I364, I365, I366) -> f2(I367, I368, 0, I356, 12, 16, I369, I370, I371, I372, I373, I374, I375) [12 = I357 /\ 16 = I355 /\ I356 + 3 <= I354 /\ 0 <= I368 - 1 /\ 14 <= I367 - 1 /\ 14 <= I354 - 1 /\ I368 + 14 <= I354 /\ I367 <= I354]
92.33/91.68	  f1(I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388) -> f2(I389, I390, 0, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400) [-1 <= I393 - 1 /\ 0 <= I377 - 1 /\ -1 <= I401 - 1 /\ I390 <= I376 /\ 0 <= I376 - 1 /\ 3 <= I389 - 1 /\ 0 <= I390 - 1]
92.33/91.68	
92.33/91.68	The dependency graph for this problem is:
92.33/91.68	  0 -> 16, 19
92.33/91.68	  1 -> 2, 4
92.33/91.68	  2 -> 2, 4
92.33/91.68	  3 -> 1, 3
92.33/91.68	  4 -> 1, 3
92.33/91.68	  5 -> 2, 4
92.33/91.68	  6 -> 2, 4
92.33/91.68	  7 -> 5, 6, 8, 9, 10, 11, 12, 13
92.33/91.68	  8 -> 5, 6, 8, 9, 10, 11, 12, 13
92.33/91.68	  9 -> 5, 6, 8, 9, 10, 11, 12, 13
92.33/91.68	  10 -> 5, 6, 8, 9, 10, 11, 12, 13
92.33/91.68	  11 -> 5, 6, 8, 9, 10, 11, 12, 13
92.33/91.68	  12 -> 
92.33/91.68	  13 -> 7
92.33/91.68	  14 -> 5, 6, 8, 9, 10, 11, 12, 13
92.33/91.68	  15 -> 14, 15
92.33/91.68	  16 -> 14, 15
92.33/91.68	  17 -> 17
92.33/91.68	  18 -> 17
92.33/91.68	  19 -> 17
92.33/91.68	Where:
92.33/91.68	  0) init#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f1#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13) 
92.33/91.68	  1) f8#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f7#(I13, I14, I15, I2 + 1, I7, I8, I12, I9, I16, I17, I18, I19, I20) [I11 + 2 <= I4 /\ I10 + 2 <= I4 /\ I8 + 3 <= I0 /\ I7 + 3 <= I0 /\ 0 <= I15 - 1 /\ 0 <= I14 - 1 /\ 3 <= I13 - 1 /\ 0 <= I5 - 1 /\ 1 <= I4 - 1 /\ -1 <= I3 - 1 /\ 0 <= I1 - 1 /\ 3 <= I0 - 1 /\ I15 <= I5 /\ I15 + 1 <= I4 /\ I15 - 1 <= I3 /\ I15 <= I1 /\ I15 + 3 <= I0 /\ I14 <= I5 /\ I14 + 1 <= I4 /\ I14 - 1 <= I3 /\ I14 <= I1 /\ I14 + 3 <= I0 /\ I13 <= I0 /\ I6 <= I12 - 1 /\ -1 <= I9 - 1]
92.33/91.68	  2) f7#(I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) -> f7#(I34, I35, I36, I24 + 1, I25, I26, I27, I28, I37, I38, I39, I40, I41) [I26 + 3 <= I21 /\ I25 + 3 <= I21 /\ 0 <= I36 - 1 /\ 0 <= I35 - 1 /\ 3 <= I34 - 1 /\ 0 <= I23 - 1 /\ 0 <= I22 - 1 /\ 3 <= I21 - 1 /\ I36 <= I23 /\ I36 <= I22 /\ I36 + 3 <= I21 /\ I35 <= I23 /\ I35 <= I22 /\ I35 + 3 <= I21 /\ I34 <= I21 /\ I24 <= I28 - 1 /\ -1 <= I28 - 1]
92.33/91.68	  3) f8#(I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f8#(I55, I56, I44, I57, I58, I59, I60, I49, I50, I51, I61, I62, I54) [I53 + 2 <= I46 /\ I62 + 4 <= I46 /\ I61 + 4 <= I46 /\ I52 + 2 <= I46 /\ I62 + 2 <= I45 /\ I61 + 2 <= I45 /\ I50 + 3 <= I42 /\ I49 + 3 <= I42 /\ 0 <= I59 - 1 /\ 0 <= I58 - 1 /\ -1 <= I57 - 1 /\ 0 <= I56 - 1 /\ 3 <= I55 - 1 /\ 0 <= I47 - 1 /\ 2 <= I46 - 1 /\ 0 <= I45 - 1 /\ 0 <= I43 - 1 /\ 3 <= I42 - 1 /\ I59 <= I47 /\ I59 + 2 <= I46 /\ I59 <= I45 /\ I59 <= I43 /\ I59 + 3 <= I42 /\ I58 + 2 <= I46 /\ I58 <= I45 /\ I57 + 3 <= I46 /\ I57 + 1 <= I45 /\ I56 <= I47 /\ I56 + 2 <= I46 /\ I56 <= I45 /\ I56 <= I43 /\ I56 + 3 <= I42 /\ I55 <= I42 /\ 0 <= I54 - 1 /\ I48 <= I54 - 1]
92.33/91.68	  4) f7#(I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f8#(I76, I77, I66, I78, I79, I80, I81, I67, I68, I70, I82, I83, I69) [I68 + 3 <= I63 /\ I67 + 3 <= I63 /\ 0 <= I80 - 1 /\ 0 <= I79 - 1 /\ -1 <= I78 - 1 /\ 0 <= I77 - 1 /\ 3 <= I76 - 1 /\ 0 <= I65 - 1 /\ 0 <= I64 - 1 /\ 3 <= I63 - 1 /\ I80 <= I65 /\ I80 <= I64 /\ I80 + 3 <= I63 /\ I77 <= I65 /\ I77 <= I64 /\ I77 + 3 <= I63 /\ I76 <= I63 /\ I66 <= I70 - 1 /\ 0 <= I69 - 1]
92.33/91.68	  5) f5#(I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96) -> f7#(I97, I98, I99, 0, I91 + 1, I92, 2 * I90, I90, I100, I101, I102, I103, I104) [I92 + 3 <= I84 /\ I91 + 3 <= I84 /\ 0 <= I99 - 1 /\ 0 <= I98 - 1 /\ 3 <= I97 - 1 /\ -1 <= I87 - 1 /\ 3 <= I84 - 1 /\ I99 - 1 <= I87 /\ I99 + 3 <= I84 /\ I98 - 1 <= I87 /\ I98 + 3 <= I84 /\ I97 - 1 <= I84 /\ I92 <= I91 /\ 0 <= 2 * I90 /\ 1073741824 <= I90 - 1 /\ I86 <= I90 - 1]
92.33/91.68	  6) f5#(I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117) -> f7#(I118, I119, I120, 0, I112 + 1, I113, 2 * I111, I111, I121, I122, I123, I124, I125) [I113 + 3 <= I105 /\ I112 + 3 <= I105 /\ 0 <= I120 - 1 /\ 0 <= I119 - 1 /\ 3 <= I118 - 1 /\ -1 <= I108 - 1 /\ 3 <= I105 - 1 /\ I120 - 1 <= I108 /\ I120 + 3 <= I105 /\ I119 - 1 <= I108 /\ I119 + 3 <= I105 /\ I118 - 1 <= I105 /\ I111 <= 1073741823 /\ 0 <= 2 * I111 /\ I113 <= I112 /\ 1 <= I111 - 1 /\ I107 <= I111 - 1]
92.33/91.68	  7) f6#(I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f5#(I139, I133, I127, I140, I141, I142, I130, I131, I132, I143, I144, I145, I146) [0 = I129 /\ I135 + 4 <= I128 /\ I133 + 2 <= I128 /\ I132 + 3 <= I126 /\ I131 + 3 <= I126 /\ -1 <= I140 - 1 /\ 3 <= I139 - 1 /\ -1 <= I134 - 1 /\ 2 <= I128 - 1 /\ 3 <= I126 - 1 /\ I140 <= I134 /\ I140 + 2 <= I128 /\ I139 <= I126]
92.33/91.68	  8) f5#(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) -> f5#(I160, I148, I149, I161, I151, I152, I153, I154, I155, I162, I163, I164, I165) [I148 + 2 <= I150 /\ I155 + 3 <= I147 /\ I154 + 3 <= I147 /\ -1 <= I161 - 1 /\ 3 <= I160 - 1 /\ 2 <= I150 - 1 /\ 3 <= I147 - 1 /\ I161 + 2 <= I150 /\ 1 <= I153 - 1 /\ I160 <= I147]
92.33/91.68	  9) f5#(I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178) -> f5#(I179, I167, I168, I180, I170, I171, I172, I173, I174, I181, I182, I183, I184) [I167 + 2 <= I169 /\ I174 + 3 <= I166 /\ I173 + 3 <= I166 /\ -1 <= I180 - 1 /\ 3 <= I179 - 1 /\ 1 <= I169 - 1 /\ 3 <= I166 - 1 /\ I180 + 2 <= I169 /\ 1 <= I172 - 1 /\ I179 <= I166]
92.33/91.68	  10) f5#(I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) -> f5#(I198, I186, I187, I199, I189, I190, I191, I192, I193, I200, I201, I202, I203) [I198 <= I185 /\ I186 <= y1 - 1 /\ I199 + 1 <= I188 /\ 3 <= I185 - 1 /\ 0 <= I188 - 1 /\ 3 <= I198 - 1 /\ -1 <= I199 - 1 /\ I192 + 3 <= I185 /\ I193 + 3 <= I185]
92.33/91.68	  11) f5#(I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216) -> f5#(I217, I205, I206, I218, I208, I209, I210, I211, I212, I219, I220, I221, I222) [I217 <= I204 /\ I223 <= I205 - 1 /\ I218 + 1 <= I207 /\ 3 <= I204 - 1 /\ 0 <= I207 - 1 /\ 3 <= I217 - 1 /\ -1 <= I218 - 1 /\ I211 + 3 <= I204 /\ I212 + 3 <= I204]
92.33/91.68	  12) f5#(I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236) -> f6#(I237, I226, I238, 1, I230, I231, I232, I225, I239, I240, I241, I242, I243) [I240 + 4 <= I227 /\ I225 + 2 <= I227 /\ I232 + 3 <= I224 /\ I231 + 3 <= I224 /\ -1 <= I239 - 1 /\ 2 <= I238 - 1 /\ 3 <= I237 - 1 /\ 2 <= I227 - 1 /\ 3 <= I224 - 1 /\ I239 + 2 <= I227 /\ I238 <= I227 /\ 1 <= I230 - 1 /\ I237 <= I224]
92.33/91.68	  13) f5#(I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256) -> f6#(I257, I246, I258, 0, I250, I251, I252, I245, I259, I260, I261, I262, I263) [I260 + 4 <= I247 /\ I245 + 2 <= I247 /\ I252 + 3 <= I244 /\ I251 + 3 <= I244 /\ -1 <= I259 - 1 /\ 2 <= I258 - 1 /\ 3 <= I257 - 1 /\ 2 <= I247 - 1 /\ 3 <= I244 - 1 /\ I259 + 2 <= I247 /\ I258 <= I247 /\ 1 <= I250 - 1 /\ I257 <= I244]
92.33/91.68	  14) f4#(I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276) -> f5#(I277, I278, I279, I280, I266, I267 + 2, I268, I269, I270, I281, I282, I283, I284) [I267 + 1 <= I266 - 1 /\ 1 <= I268 - 1 /\ 0 <= I265 - 1 /\ -1 <= I266 - 1 /\ -1 <= I267 - 1 /\ -1 <= I285 - 1 /\ -1 <= y2 - 1 /\ I279 <= I268 - 1 /\ I277 <= I264 /\ 3 <= I264 - 1 /\ 3 <= I277 - 1 /\ -1 <= I280 - 1 /\ I270 + 3 <= I264 /\ I269 + 3 <= I264]
92.33/91.68	  15) f4#(I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298) -> f4#(I299, I287 - 1, I288, I289 + 2, I300, I301, I302, I303, I304, I305, I306, I307, I308) [0 <= I287 - 1 /\ I289 + 1 <= I288 - 1 /\ -1 <= I288 - 1 /\ -1 <= I289 - 1 /\ -1 <= I309 - 1 /\ -1 <= I310 - 1 /\ 1 <= I290 - 1 /\ 3 <= I286 - 1 /\ 3 <= I299 - 1 /\ I292 + 3 <= I286 /\ I291 + 3 <= I286]
92.33/91.68	  16) f1#(I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323) -> f4#(I324, I325, I312, 1, 16, 0, 12, I326, I327, I328, I329, I330, I331) [14 <= I324 - 1 /\ 0 <= I311 - 1 /\ I324 - 14 <= I311 /\ 0 <= I312 - 1 /\ -1 <= I325 - 1]
92.33/91.68	  17) f2#(I332, I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344) -> f2#(I345, I346, I334 + 1, I335, I336, I337, I347, I348, I349, I350, I351, I352, I353) [I336 + 3 <= I332 /\ I335 + 3 <= I332 /\ 0 <= I346 - 1 /\ 3 <= I345 - 1 /\ 0 <= I333 - 1 /\ 3 <= I332 - 1 /\ I346 <= I333 /\ I346 + 3 <= I332 /\ I345 <= I332 /\ I334 <= I337 - 1 /\ -1 <= I337 - 1]
92.33/91.68	  18) f3#(I354, I355, I356, I357, I358, I359, I360, I361, I362, I363, I364, I365, I366) -> f2#(I367, I368, 0, I356, 12, 16, I369, I370, I371, I372, I373, I374, I375) [12 = I357 /\ 16 = I355 /\ I356 + 3 <= I354 /\ 0 <= I368 - 1 /\ 14 <= I367 - 1 /\ 14 <= I354 - 1 /\ I368 + 14 <= I354 /\ I367 <= I354]
92.33/91.68	  19) f1#(I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388) -> f2#(I389, I390, 0, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400) [-1 <= I393 - 1 /\ 0 <= I377 - 1 /\ -1 <= I401 - 1 /\ I390 <= I376 /\ 0 <= I376 - 1 /\ 3 <= I389 - 1 /\ 0 <= I390 - 1]
92.33/91.68	
92.33/91.68	We have the following SCCs.
92.33/91.68	  { 15 }
92.33/91.68	  { 7, 8, 9, 10, 11, 13 }
92.33/91.68	  { 1, 2, 3, 4 }
92.33/91.68	  { 17 }
92.33/91.68	
92.33/91.68	DP problem for innermost termination.
92.33/91.68	P =
92.33/91.68	  f2#(I332, I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344) -> f2#(I345, I346, I334 + 1, I335, I336, I337, I347, I348, I349, I350, I351, I352, I353) [I336 + 3 <= I332 /\ I335 + 3 <= I332 /\ 0 <= I346 - 1 /\ 3 <= I345 - 1 /\ 0 <= I333 - 1 /\ 3 <= I332 - 1 /\ I346 <= I333 /\ I346 + 3 <= I332 /\ I345 <= I332 /\ I334 <= I337 - 1 /\ -1 <= I337 - 1]
92.33/91.68	R = 
92.33/91.68	  init(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13) 
92.33/91.68	  f8(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f7(I13, I14, I15, I2 + 1, I7, I8, I12, I9, I16, I17, I18, I19, I20) [I11 + 2 <= I4 /\ I10 + 2 <= I4 /\ I8 + 3 <= I0 /\ I7 + 3 <= I0 /\ 0 <= I15 - 1 /\ 0 <= I14 - 1 /\ 3 <= I13 - 1 /\ 0 <= I5 - 1 /\ 1 <= I4 - 1 /\ -1 <= I3 - 1 /\ 0 <= I1 - 1 /\ 3 <= I0 - 1 /\ I15 <= I5 /\ I15 + 1 <= I4 /\ I15 - 1 <= I3 /\ I15 <= I1 /\ I15 + 3 <= I0 /\ I14 <= I5 /\ I14 + 1 <= I4 /\ I14 - 1 <= I3 /\ I14 <= I1 /\ I14 + 3 <= I0 /\ I13 <= I0 /\ I6 <= I12 - 1 /\ -1 <= I9 - 1]
92.33/91.68	  f7(I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) -> f7(I34, I35, I36, I24 + 1, I25, I26, I27, I28, I37, I38, I39, I40, I41) [I26 + 3 <= I21 /\ I25 + 3 <= I21 /\ 0 <= I36 - 1 /\ 0 <= I35 - 1 /\ 3 <= I34 - 1 /\ 0 <= I23 - 1 /\ 0 <= I22 - 1 /\ 3 <= I21 - 1 /\ I36 <= I23 /\ I36 <= I22 /\ I36 + 3 <= I21 /\ I35 <= I23 /\ I35 <= I22 /\ I35 + 3 <= I21 /\ I34 <= I21 /\ I24 <= I28 - 1 /\ -1 <= I28 - 1]
92.33/91.68	  f8(I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f8(I55, I56, I44, I57, I58, I59, I60, I49, I50, I51, I61, I62, I54) [I53 + 2 <= I46 /\ I62 + 4 <= I46 /\ I61 + 4 <= I46 /\ I52 + 2 <= I46 /\ I62 + 2 <= I45 /\ I61 + 2 <= I45 /\ I50 + 3 <= I42 /\ I49 + 3 <= I42 /\ 0 <= I59 - 1 /\ 0 <= I58 - 1 /\ -1 <= I57 - 1 /\ 0 <= I56 - 1 /\ 3 <= I55 - 1 /\ 0 <= I47 - 1 /\ 2 <= I46 - 1 /\ 0 <= I45 - 1 /\ 0 <= I43 - 1 /\ 3 <= I42 - 1 /\ I59 <= I47 /\ I59 + 2 <= I46 /\ I59 <= I45 /\ I59 <= I43 /\ I59 + 3 <= I42 /\ I58 + 2 <= I46 /\ I58 <= I45 /\ I57 + 3 <= I46 /\ I57 + 1 <= I45 /\ I56 <= I47 /\ I56 + 2 <= I46 /\ I56 <= I45 /\ I56 <= I43 /\ I56 + 3 <= I42 /\ I55 <= I42 /\ 0 <= I54 - 1 /\ I48 <= I54 - 1]
92.33/91.68	  f7(I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f8(I76, I77, I66, I78, I79, I80, I81, I67, I68, I70, I82, I83, I69) [I68 + 3 <= I63 /\ I67 + 3 <= I63 /\ 0 <= I80 - 1 /\ 0 <= I79 - 1 /\ -1 <= I78 - 1 /\ 0 <= I77 - 1 /\ 3 <= I76 - 1 /\ 0 <= I65 - 1 /\ 0 <= I64 - 1 /\ 3 <= I63 - 1 /\ I80 <= I65 /\ I80 <= I64 /\ I80 + 3 <= I63 /\ I77 <= I65 /\ I77 <= I64 /\ I77 + 3 <= I63 /\ I76 <= I63 /\ I66 <= I70 - 1 /\ 0 <= I69 - 1]
92.33/91.68	  f5(I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96) -> f7(I97, I98, I99, 0, I91 + 1, I92, 2 * I90, I90, I100, I101, I102, I103, I104) [I92 + 3 <= I84 /\ I91 + 3 <= I84 /\ 0 <= I99 - 1 /\ 0 <= I98 - 1 /\ 3 <= I97 - 1 /\ -1 <= I87 - 1 /\ 3 <= I84 - 1 /\ I99 - 1 <= I87 /\ I99 + 3 <= I84 /\ I98 - 1 <= I87 /\ I98 + 3 <= I84 /\ I97 - 1 <= I84 /\ I92 <= I91 /\ 0 <= 2 * I90 /\ 1073741824 <= I90 - 1 /\ I86 <= I90 - 1]
92.33/91.68	  f5(I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117) -> f7(I118, I119, I120, 0, I112 + 1, I113, 2 * I111, I111, I121, I122, I123, I124, I125) [I113 + 3 <= I105 /\ I112 + 3 <= I105 /\ 0 <= I120 - 1 /\ 0 <= I119 - 1 /\ 3 <= I118 - 1 /\ -1 <= I108 - 1 /\ 3 <= I105 - 1 /\ I120 - 1 <= I108 /\ I120 + 3 <= I105 /\ I119 - 1 <= I108 /\ I119 + 3 <= I105 /\ I118 - 1 <= I105 /\ I111 <= 1073741823 /\ 0 <= 2 * I111 /\ I113 <= I112 /\ 1 <= I111 - 1 /\ I107 <= I111 - 1]
92.33/91.68	  f6(I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f5(I139, I133, I127, I140, I141, I142, I130, I131, I132, I143, I144, I145, I146) [0 = I129 /\ I135 + 4 <= I128 /\ I133 + 2 <= I128 /\ I132 + 3 <= I126 /\ I131 + 3 <= I126 /\ -1 <= I140 - 1 /\ 3 <= I139 - 1 /\ -1 <= I134 - 1 /\ 2 <= I128 - 1 /\ 3 <= I126 - 1 /\ I140 <= I134 /\ I140 + 2 <= I128 /\ I139 <= I126]
92.33/91.68	  f5(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) -> f5(I160, I148, I149, I161, I151, I152, I153, I154, I155, I162, I163, I164, I165) [I148 + 2 <= I150 /\ I155 + 3 <= I147 /\ I154 + 3 <= I147 /\ -1 <= I161 - 1 /\ 3 <= I160 - 1 /\ 2 <= I150 - 1 /\ 3 <= I147 - 1 /\ I161 + 2 <= I150 /\ 1 <= I153 - 1 /\ I160 <= I147]
92.33/91.68	  f5(I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178) -> f5(I179, I167, I168, I180, I170, I171, I172, I173, I174, I181, I182, I183, I184) [I167 + 2 <= I169 /\ I174 + 3 <= I166 /\ I173 + 3 <= I166 /\ -1 <= I180 - 1 /\ 3 <= I179 - 1 /\ 1 <= I169 - 1 /\ 3 <= I166 - 1 /\ I180 + 2 <= I169 /\ 1 <= I172 - 1 /\ I179 <= I166]
92.33/91.68	  f5(I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) -> f5(I198, I186, I187, I199, I189, I190, I191, I192, I193, I200, I201, I202, I203) [I198 <= I185 /\ I186 <= y1 - 1 /\ I199 + 1 <= I188 /\ 3 <= I185 - 1 /\ 0 <= I188 - 1 /\ 3 <= I198 - 1 /\ -1 <= I199 - 1 /\ I192 + 3 <= I185 /\ I193 + 3 <= I185]
92.33/91.68	  f5(I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216) -> f5(I217, I205, I206, I218, I208, I209, I210, I211, I212, I219, I220, I221, I222) [I217 <= I204 /\ I223 <= I205 - 1 /\ I218 + 1 <= I207 /\ 3 <= I204 - 1 /\ 0 <= I207 - 1 /\ 3 <= I217 - 1 /\ -1 <= I218 - 1 /\ I211 + 3 <= I204 /\ I212 + 3 <= I204]
92.33/91.68	  f5(I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236) -> f6(I237, I226, I238, 1, I230, I231, I232, I225, I239, I240, I241, I242, I243) [I240 + 4 <= I227 /\ I225 + 2 <= I227 /\ I232 + 3 <= I224 /\ I231 + 3 <= I224 /\ -1 <= I239 - 1 /\ 2 <= I238 - 1 /\ 3 <= I237 - 1 /\ 2 <= I227 - 1 /\ 3 <= I224 - 1 /\ I239 + 2 <= I227 /\ I238 <= I227 /\ 1 <= I230 - 1 /\ I237 <= I224]
92.33/91.68	  f5(I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256) -> f6(I257, I246, I258, 0, I250, I251, I252, I245, I259, I260, I261, I262, I263) [I260 + 4 <= I247 /\ I245 + 2 <= I247 /\ I252 + 3 <= I244 /\ I251 + 3 <= I244 /\ -1 <= I259 - 1 /\ 2 <= I258 - 1 /\ 3 <= I257 - 1 /\ 2 <= I247 - 1 /\ 3 <= I244 - 1 /\ I259 + 2 <= I247 /\ I258 <= I247 /\ 1 <= I250 - 1 /\ I257 <= I244]
92.33/91.68	  f4(I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276) -> f5(I277, I278, I279, I280, I266, I267 + 2, I268, I269, I270, I281, I282, I283, I284) [I267 + 1 <= I266 - 1 /\ 1 <= I268 - 1 /\ 0 <= I265 - 1 /\ -1 <= I266 - 1 /\ -1 <= I267 - 1 /\ -1 <= I285 - 1 /\ -1 <= y2 - 1 /\ I279 <= I268 - 1 /\ I277 <= I264 /\ 3 <= I264 - 1 /\ 3 <= I277 - 1 /\ -1 <= I280 - 1 /\ I270 + 3 <= I264 /\ I269 + 3 <= I264]
92.33/91.68	  f4(I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298) -> f4(I299, I287 - 1, I288, I289 + 2, I300, I301, I302, I303, I304, I305, I306, I307, I308) [0 <= I287 - 1 /\ I289 + 1 <= I288 - 1 /\ -1 <= I288 - 1 /\ -1 <= I289 - 1 /\ -1 <= I309 - 1 /\ -1 <= I310 - 1 /\ 1 <= I290 - 1 /\ 3 <= I286 - 1 /\ 3 <= I299 - 1 /\ I292 + 3 <= I286 /\ I291 + 3 <= I286]
92.33/91.68	  f1(I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323) -> f4(I324, I325, I312, 1, 16, 0, 12, I326, I327, I328, I329, I330, I331) [14 <= I324 - 1 /\ 0 <= I311 - 1 /\ I324 - 14 <= I311 /\ 0 <= I312 - 1 /\ -1 <= I325 - 1]
92.33/91.68	  f2(I332, I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344) -> f2(I345, I346, I334 + 1, I335, I336, I337, I347, I348, I349, I350, I351, I352, I353) [I336 + 3 <= I332 /\ I335 + 3 <= I332 /\ 0 <= I346 - 1 /\ 3 <= I345 - 1 /\ 0 <= I333 - 1 /\ 3 <= I332 - 1 /\ I346 <= I333 /\ I346 + 3 <= I332 /\ I345 <= I332 /\ I334 <= I337 - 1 /\ -1 <= I337 - 1]
92.33/91.68	  f3(I354, I355, I356, I357, I358, I359, I360, I361, I362, I363, I364, I365, I366) -> f2(I367, I368, 0, I356, 12, 16, I369, I370, I371, I372, I373, I374, I375) [12 = I357 /\ 16 = I355 /\ I356 + 3 <= I354 /\ 0 <= I368 - 1 /\ 14 <= I367 - 1 /\ 14 <= I354 - 1 /\ I368 + 14 <= I354 /\ I367 <= I354]
92.33/91.68	  f1(I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388) -> f2(I389, I390, 0, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400) [-1 <= I393 - 1 /\ 0 <= I377 - 1 /\ -1 <= I401 - 1 /\ I390 <= I376 /\ 0 <= I376 - 1 /\ 3 <= I389 - 1 /\ 0 <= I390 - 1]
92.33/91.68	
92.33/91.68	We use the reverse value criterion with the projection function NU:
92.33/91.68	  NU[f2#(z1,z2,z3,z4,z5,z6,z7,z8,z9,z10,z11,z12,z13)] = z6 - 1 + -1 * z3
92.33/91.68	
92.33/91.68	This gives the following inequalities:
92.33/91.68	  I336 + 3 <= I332 /\ I335 + 3 <= I332 /\ 0 <= I346 - 1 /\ 3 <= I345 - 1 /\ 0 <= I333 - 1 /\ 3 <= I332 - 1 /\ I346 <= I333 /\ I346 + 3 <= I332 /\ I345 <= I332 /\ I334 <= I337 - 1 /\ -1 <= I337 - 1  ==>  I337 - 1 + -1 * I334 > I337 - 1 + -1 * (I334 + 1)  with  I337 - 1 + -1 * I334 >= 0
92.33/91.68	
92.33/91.68	All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed.
92.33/91.68	
92.33/91.68	DP problem for innermost termination.
92.33/91.68	P =
92.33/91.68	  f8#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f7#(I13, I14, I15, I2 + 1, I7, I8, I12, I9, I16, I17, I18, I19, I20) [I11 + 2 <= I4 /\ I10 + 2 <= I4 /\ I8 + 3 <= I0 /\ I7 + 3 <= I0 /\ 0 <= I15 - 1 /\ 0 <= I14 - 1 /\ 3 <= I13 - 1 /\ 0 <= I5 - 1 /\ 1 <= I4 - 1 /\ -1 <= I3 - 1 /\ 0 <= I1 - 1 /\ 3 <= I0 - 1 /\ I15 <= I5 /\ I15 + 1 <= I4 /\ I15 - 1 <= I3 /\ I15 <= I1 /\ I15 + 3 <= I0 /\ I14 <= I5 /\ I14 + 1 <= I4 /\ I14 - 1 <= I3 /\ I14 <= I1 /\ I14 + 3 <= I0 /\ I13 <= I0 /\ I6 <= I12 - 1 /\ -1 <= I9 - 1]
92.33/91.68	  f7#(I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) -> f7#(I34, I35, I36, I24 + 1, I25, I26, I27, I28, I37, I38, I39, I40, I41) [I26 + 3 <= I21 /\ I25 + 3 <= I21 /\ 0 <= I36 - 1 /\ 0 <= I35 - 1 /\ 3 <= I34 - 1 /\ 0 <= I23 - 1 /\ 0 <= I22 - 1 /\ 3 <= I21 - 1 /\ I36 <= I23 /\ I36 <= I22 /\ I36 + 3 <= I21 /\ I35 <= I23 /\ I35 <= I22 /\ I35 + 3 <= I21 /\ I34 <= I21 /\ I24 <= I28 - 1 /\ -1 <= I28 - 1]
92.33/91.68	  f8#(I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f8#(I55, I56, I44, I57, I58, I59, I60, I49, I50, I51, I61, I62, I54) [I53 + 2 <= I46 /\ I62 + 4 <= I46 /\ I61 + 4 <= I46 /\ I52 + 2 <= I46 /\ I62 + 2 <= I45 /\ I61 + 2 <= I45 /\ I50 + 3 <= I42 /\ I49 + 3 <= I42 /\ 0 <= I59 - 1 /\ 0 <= I58 - 1 /\ -1 <= I57 - 1 /\ 0 <= I56 - 1 /\ 3 <= I55 - 1 /\ 0 <= I47 - 1 /\ 2 <= I46 - 1 /\ 0 <= I45 - 1 /\ 0 <= I43 - 1 /\ 3 <= I42 - 1 /\ I59 <= I47 /\ I59 + 2 <= I46 /\ I59 <= I45 /\ I59 <= I43 /\ I59 + 3 <= I42 /\ I58 + 2 <= I46 /\ I58 <= I45 /\ I57 + 3 <= I46 /\ I57 + 1 <= I45 /\ I56 <= I47 /\ I56 + 2 <= I46 /\ I56 <= I45 /\ I56 <= I43 /\ I56 + 3 <= I42 /\ I55 <= I42 /\ 0 <= I54 - 1 /\ I48 <= I54 - 1]
92.33/91.68	  f7#(I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f8#(I76, I77, I66, I78, I79, I80, I81, I67, I68, I70, I82, I83, I69) [I68 + 3 <= I63 /\ I67 + 3 <= I63 /\ 0 <= I80 - 1 /\ 0 <= I79 - 1 /\ -1 <= I78 - 1 /\ 0 <= I77 - 1 /\ 3 <= I76 - 1 /\ 0 <= I65 - 1 /\ 0 <= I64 - 1 /\ 3 <= I63 - 1 /\ I80 <= I65 /\ I80 <= I64 /\ I80 + 3 <= I63 /\ I77 <= I65 /\ I77 <= I64 /\ I77 + 3 <= I63 /\ I76 <= I63 /\ I66 <= I70 - 1 /\ 0 <= I69 - 1]
92.33/91.68	R = 
92.33/91.68	  init(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13) 
92.33/91.68	  f8(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f7(I13, I14, I15, I2 + 1, I7, I8, I12, I9, I16, I17, I18, I19, I20) [I11 + 2 <= I4 /\ I10 + 2 <= I4 /\ I8 + 3 <= I0 /\ I7 + 3 <= I0 /\ 0 <= I15 - 1 /\ 0 <= I14 - 1 /\ 3 <= I13 - 1 /\ 0 <= I5 - 1 /\ 1 <= I4 - 1 /\ -1 <= I3 - 1 /\ 0 <= I1 - 1 /\ 3 <= I0 - 1 /\ I15 <= I5 /\ I15 + 1 <= I4 /\ I15 - 1 <= I3 /\ I15 <= I1 /\ I15 + 3 <= I0 /\ I14 <= I5 /\ I14 + 1 <= I4 /\ I14 - 1 <= I3 /\ I14 <= I1 /\ I14 + 3 <= I0 /\ I13 <= I0 /\ I6 <= I12 - 1 /\ -1 <= I9 - 1]
92.33/91.68	  f7(I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) -> f7(I34, I35, I36, I24 + 1, I25, I26, I27, I28, I37, I38, I39, I40, I41) [I26 + 3 <= I21 /\ I25 + 3 <= I21 /\ 0 <= I36 - 1 /\ 0 <= I35 - 1 /\ 3 <= I34 - 1 /\ 0 <= I23 - 1 /\ 0 <= I22 - 1 /\ 3 <= I21 - 1 /\ I36 <= I23 /\ I36 <= I22 /\ I36 + 3 <= I21 /\ I35 <= I23 /\ I35 <= I22 /\ I35 + 3 <= I21 /\ I34 <= I21 /\ I24 <= I28 - 1 /\ -1 <= I28 - 1]
92.33/91.68	  f8(I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f8(I55, I56, I44, I57, I58, I59, I60, I49, I50, I51, I61, I62, I54) [I53 + 2 <= I46 /\ I62 + 4 <= I46 /\ I61 + 4 <= I46 /\ I52 + 2 <= I46 /\ I62 + 2 <= I45 /\ I61 + 2 <= I45 /\ I50 + 3 <= I42 /\ I49 + 3 <= I42 /\ 0 <= I59 - 1 /\ 0 <= I58 - 1 /\ -1 <= I57 - 1 /\ 0 <= I56 - 1 /\ 3 <= I55 - 1 /\ 0 <= I47 - 1 /\ 2 <= I46 - 1 /\ 0 <= I45 - 1 /\ 0 <= I43 - 1 /\ 3 <= I42 - 1 /\ I59 <= I47 /\ I59 + 2 <= I46 /\ I59 <= I45 /\ I59 <= I43 /\ I59 + 3 <= I42 /\ I58 + 2 <= I46 /\ I58 <= I45 /\ I57 + 3 <= I46 /\ I57 + 1 <= I45 /\ I56 <= I47 /\ I56 + 2 <= I46 /\ I56 <= I45 /\ I56 <= I43 /\ I56 + 3 <= I42 /\ I55 <= I42 /\ 0 <= I54 - 1 /\ I48 <= I54 - 1]
92.33/91.68	  f7(I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f8(I76, I77, I66, I78, I79, I80, I81, I67, I68, I70, I82, I83, I69) [I68 + 3 <= I63 /\ I67 + 3 <= I63 /\ 0 <= I80 - 1 /\ 0 <= I79 - 1 /\ -1 <= I78 - 1 /\ 0 <= I77 - 1 /\ 3 <= I76 - 1 /\ 0 <= I65 - 1 /\ 0 <= I64 - 1 /\ 3 <= I63 - 1 /\ I80 <= I65 /\ I80 <= I64 /\ I80 + 3 <= I63 /\ I77 <= I65 /\ I77 <= I64 /\ I77 + 3 <= I63 /\ I76 <= I63 /\ I66 <= I70 - 1 /\ 0 <= I69 - 1]
92.33/91.68	  f5(I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96) -> f7(I97, I98, I99, 0, I91 + 1, I92, 2 * I90, I90, I100, I101, I102, I103, I104) [I92 + 3 <= I84 /\ I91 + 3 <= I84 /\ 0 <= I99 - 1 /\ 0 <= I98 - 1 /\ 3 <= I97 - 1 /\ -1 <= I87 - 1 /\ 3 <= I84 - 1 /\ I99 - 1 <= I87 /\ I99 + 3 <= I84 /\ I98 - 1 <= I87 /\ I98 + 3 <= I84 /\ I97 - 1 <= I84 /\ I92 <= I91 /\ 0 <= 2 * I90 /\ 1073741824 <= I90 - 1 /\ I86 <= I90 - 1]
92.33/91.68	  f5(I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117) -> f7(I118, I119, I120, 0, I112 + 1, I113, 2 * I111, I111, I121, I122, I123, I124, I125) [I113 + 3 <= I105 /\ I112 + 3 <= I105 /\ 0 <= I120 - 1 /\ 0 <= I119 - 1 /\ 3 <= I118 - 1 /\ -1 <= I108 - 1 /\ 3 <= I105 - 1 /\ I120 - 1 <= I108 /\ I120 + 3 <= I105 /\ I119 - 1 <= I108 /\ I119 + 3 <= I105 /\ I118 - 1 <= I105 /\ I111 <= 1073741823 /\ 0 <= 2 * I111 /\ I113 <= I112 /\ 1 <= I111 - 1 /\ I107 <= I111 - 1]
92.33/91.68	  f6(I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f5(I139, I133, I127, I140, I141, I142, I130, I131, I132, I143, I144, I145, I146) [0 = I129 /\ I135 + 4 <= I128 /\ I133 + 2 <= I128 /\ I132 + 3 <= I126 /\ I131 + 3 <= I126 /\ -1 <= I140 - 1 /\ 3 <= I139 - 1 /\ -1 <= I134 - 1 /\ 2 <= I128 - 1 /\ 3 <= I126 - 1 /\ I140 <= I134 /\ I140 + 2 <= I128 /\ I139 <= I126]
92.33/91.68	  f5(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) -> f5(I160, I148, I149, I161, I151, I152, I153, I154, I155, I162, I163, I164, I165) [I148 + 2 <= I150 /\ I155 + 3 <= I147 /\ I154 + 3 <= I147 /\ -1 <= I161 - 1 /\ 3 <= I160 - 1 /\ 2 <= I150 - 1 /\ 3 <= I147 - 1 /\ I161 + 2 <= I150 /\ 1 <= I153 - 1 /\ I160 <= I147]
92.33/91.68	  f5(I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178) -> f5(I179, I167, I168, I180, I170, I171, I172, I173, I174, I181, I182, I183, I184) [I167 + 2 <= I169 /\ I174 + 3 <= I166 /\ I173 + 3 <= I166 /\ -1 <= I180 - 1 /\ 3 <= I179 - 1 /\ 1 <= I169 - 1 /\ 3 <= I166 - 1 /\ I180 + 2 <= I169 /\ 1 <= I172 - 1 /\ I179 <= I166]
92.33/91.68	  f5(I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) -> f5(I198, I186, I187, I199, I189, I190, I191, I192, I193, I200, I201, I202, I203) [I198 <= I185 /\ I186 <= y1 - 1 /\ I199 + 1 <= I188 /\ 3 <= I185 - 1 /\ 0 <= I188 - 1 /\ 3 <= I198 - 1 /\ -1 <= I199 - 1 /\ I192 + 3 <= I185 /\ I193 + 3 <= I185]
92.33/91.68	  f5(I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216) -> f5(I217, I205, I206, I218, I208, I209, I210, I211, I212, I219, I220, I221, I222) [I217 <= I204 /\ I223 <= I205 - 1 /\ I218 + 1 <= I207 /\ 3 <= I204 - 1 /\ 0 <= I207 - 1 /\ 3 <= I217 - 1 /\ -1 <= I218 - 1 /\ I211 + 3 <= I204 /\ I212 + 3 <= I204]
92.33/91.68	  f5(I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236) -> f6(I237, I226, I238, 1, I230, I231, I232, I225, I239, I240, I241, I242, I243) [I240 + 4 <= I227 /\ I225 + 2 <= I227 /\ I232 + 3 <= I224 /\ I231 + 3 <= I224 /\ -1 <= I239 - 1 /\ 2 <= I238 - 1 /\ 3 <= I237 - 1 /\ 2 <= I227 - 1 /\ 3 <= I224 - 1 /\ I239 + 2 <= I227 /\ I238 <= I227 /\ 1 <= I230 - 1 /\ I237 <= I224]
92.33/91.68	  f5(I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256) -> f6(I257, I246, I258, 0, I250, I251, I252, I245, I259, I260, I261, I262, I263) [I260 + 4 <= I247 /\ I245 + 2 <= I247 /\ I252 + 3 <= I244 /\ I251 + 3 <= I244 /\ -1 <= I259 - 1 /\ 2 <= I258 - 1 /\ 3 <= I257 - 1 /\ 2 <= I247 - 1 /\ 3 <= I244 - 1 /\ I259 + 2 <= I247 /\ I258 <= I247 /\ 1 <= I250 - 1 /\ I257 <= I244]
92.33/91.68	  f4(I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276) -> f5(I277, I278, I279, I280, I266, I267 + 2, I268, I269, I270, I281, I282, I283, I284) [I267 + 1 <= I266 - 1 /\ 1 <= I268 - 1 /\ 0 <= I265 - 1 /\ -1 <= I266 - 1 /\ -1 <= I267 - 1 /\ -1 <= I285 - 1 /\ -1 <= y2 - 1 /\ I279 <= I268 - 1 /\ I277 <= I264 /\ 3 <= I264 - 1 /\ 3 <= I277 - 1 /\ -1 <= I280 - 1 /\ I270 + 3 <= I264 /\ I269 + 3 <= I264]
92.33/91.68	  f4(I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298) -> f4(I299, I287 - 1, I288, I289 + 2, I300, I301, I302, I303, I304, I305, I306, I307, I308) [0 <= I287 - 1 /\ I289 + 1 <= I288 - 1 /\ -1 <= I288 - 1 /\ -1 <= I289 - 1 /\ -1 <= I309 - 1 /\ -1 <= I310 - 1 /\ 1 <= I290 - 1 /\ 3 <= I286 - 1 /\ 3 <= I299 - 1 /\ I292 + 3 <= I286 /\ I291 + 3 <= I286]
92.33/91.68	  f1(I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323) -> f4(I324, I325, I312, 1, 16, 0, 12, I326, I327, I328, I329, I330, I331) [14 <= I324 - 1 /\ 0 <= I311 - 1 /\ I324 - 14 <= I311 /\ 0 <= I312 - 1 /\ -1 <= I325 - 1]
92.33/91.68	  f2(I332, I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344) -> f2(I345, I346, I334 + 1, I335, I336, I337, I347, I348, I349, I350, I351, I352, I353) [I336 + 3 <= I332 /\ I335 + 3 <= I332 /\ 0 <= I346 - 1 /\ 3 <= I345 - 1 /\ 0 <= I333 - 1 /\ 3 <= I332 - 1 /\ I346 <= I333 /\ I346 + 3 <= I332 /\ I345 <= I332 /\ I334 <= I337 - 1 /\ -1 <= I337 - 1]
92.33/91.68	  f3(I354, I355, I356, I357, I358, I359, I360, I361, I362, I363, I364, I365, I366) -> f2(I367, I368, 0, I356, 12, 16, I369, I370, I371, I372, I373, I374, I375) [12 = I357 /\ 16 = I355 /\ I356 + 3 <= I354 /\ 0 <= I368 - 1 /\ 14 <= I367 - 1 /\ 14 <= I354 - 1 /\ I368 + 14 <= I354 /\ I367 <= I354]
92.33/91.68	  f1(I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388) -> f2(I389, I390, 0, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400) [-1 <= I393 - 1 /\ 0 <= I377 - 1 /\ -1 <= I401 - 1 /\ I390 <= I376 /\ 0 <= I376 - 1 /\ 3 <= I389 - 1 /\ 0 <= I390 - 1]
92.33/91.68	
92.33/91.68	We use the reverse value criterion with the projection function NU:
92.33/91.68	  NU[f7#(z1,z2,z3,z4,z5,z6,z7,z8,z9,z10,z11,z12,z13)] = z8 - 1 + -1 * z4
92.33/91.68	  NU[f8#(z1,z2,z3,z4,z5,z6,z7,z8,z9,z10,z11,z12,z13)] = z10 - 1 + -1 * (z3 + 1)
92.33/91.68	
92.33/91.68	This gives the following inequalities:
92.33/91.68	  I11 + 2 <= I4 /\ I10 + 2 <= I4 /\ I8 + 3 <= I0 /\ I7 + 3 <= I0 /\ 0 <= I15 - 1 /\ 0 <= I14 - 1 /\ 3 <= I13 - 1 /\ 0 <= I5 - 1 /\ 1 <= I4 - 1 /\ -1 <= I3 - 1 /\ 0 <= I1 - 1 /\ 3 <= I0 - 1 /\ I15 <= I5 /\ I15 + 1 <= I4 /\ I15 - 1 <= I3 /\ I15 <= I1 /\ I15 + 3 <= I0 /\ I14 <= I5 /\ I14 + 1 <= I4 /\ I14 - 1 <= I3 /\ I14 <= I1 /\ I14 + 3 <= I0 /\ I13 <= I0 /\ I6 <= I12 - 1 /\ -1 <= I9 - 1  ==>  I9 - 1 + -1 * (I2 + 1) >= I9 - 1 + -1 * (I2 + 1)
92.33/91.68	  I26 + 3 <= I21 /\ I25 + 3 <= I21 /\ 0 <= I36 - 1 /\ 0 <= I35 - 1 /\ 3 <= I34 - 1 /\ 0 <= I23 - 1 /\ 0 <= I22 - 1 /\ 3 <= I21 - 1 /\ I36 <= I23 /\ I36 <= I22 /\ I36 + 3 <= I21 /\ I35 <= I23 /\ I35 <= I22 /\ I35 + 3 <= I21 /\ I34 <= I21 /\ I24 <= I28 - 1 /\ -1 <= I28 - 1  ==>  I28 - 1 + -1 * I24 > I28 - 1 + -1 * (I24 + 1)  with  I28 - 1 + -1 * I24 >= 0
92.33/91.68	  I53 + 2 <= I46 /\ I62 + 4 <= I46 /\ I61 + 4 <= I46 /\ I52 + 2 <= I46 /\ I62 + 2 <= I45 /\ I61 + 2 <= I45 /\ I50 + 3 <= I42 /\ I49 + 3 <= I42 /\ 0 <= I59 - 1 /\ 0 <= I58 - 1 /\ -1 <= I57 - 1 /\ 0 <= I56 - 1 /\ 3 <= I55 - 1 /\ 0 <= I47 - 1 /\ 2 <= I46 - 1 /\ 0 <= I45 - 1 /\ 0 <= I43 - 1 /\ 3 <= I42 - 1 /\ I59 <= I47 /\ I59 + 2 <= I46 /\ I59 <= I45 /\ I59 <= I43 /\ I59 + 3 <= I42 /\ I58 + 2 <= I46 /\ I58 <= I45 /\ I57 + 3 <= I46 /\ I57 + 1 <= I45 /\ I56 <= I47 /\ I56 + 2 <= I46 /\ I56 <= I45 /\ I56 <= I43 /\ I56 + 3 <= I42 /\ I55 <= I42 /\ 0 <= I54 - 1 /\ I48 <= I54 - 1  ==>  I51 - 1 + -1 * (I44 + 1) >= I51 - 1 + -1 * (I44 + 1)
92.33/91.68	  I68 + 3 <= I63 /\ I67 + 3 <= I63 /\ 0 <= I80 - 1 /\ 0 <= I79 - 1 /\ -1 <= I78 - 1 /\ 0 <= I77 - 1 /\ 3 <= I76 - 1 /\ 0 <= I65 - 1 /\ 0 <= I64 - 1 /\ 3 <= I63 - 1 /\ I80 <= I65 /\ I80 <= I64 /\ I80 + 3 <= I63 /\ I77 <= I65 /\ I77 <= I64 /\ I77 + 3 <= I63 /\ I76 <= I63 /\ I66 <= I70 - 1 /\ 0 <= I69 - 1  ==>  I70 - 1 + -1 * I66 > I70 - 1 + -1 * (I66 + 1)  with  I70 - 1 + -1 * I66 >= 0
92.33/91.68	
92.33/91.68	We remove all the strictly oriented dependency pairs.
92.33/91.68	
92.33/91.68	DP problem for innermost termination.
92.33/91.68	P =
92.33/91.68	  f8#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f7#(I13, I14, I15, I2 + 1, I7, I8, I12, I9, I16, I17, I18, I19, I20) [I11 + 2 <= I4 /\ I10 + 2 <= I4 /\ I8 + 3 <= I0 /\ I7 + 3 <= I0 /\ 0 <= I15 - 1 /\ 0 <= I14 - 1 /\ 3 <= I13 - 1 /\ 0 <= I5 - 1 /\ 1 <= I4 - 1 /\ -1 <= I3 - 1 /\ 0 <= I1 - 1 /\ 3 <= I0 - 1 /\ I15 <= I5 /\ I15 + 1 <= I4 /\ I15 - 1 <= I3 /\ I15 <= I1 /\ I15 + 3 <= I0 /\ I14 <= I5 /\ I14 + 1 <= I4 /\ I14 - 1 <= I3 /\ I14 <= I1 /\ I14 + 3 <= I0 /\ I13 <= I0 /\ I6 <= I12 - 1 /\ -1 <= I9 - 1]
92.33/91.68	  f8#(I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f8#(I55, I56, I44, I57, I58, I59, I60, I49, I50, I51, I61, I62, I54) [I53 + 2 <= I46 /\ I62 + 4 <= I46 /\ I61 + 4 <= I46 /\ I52 + 2 <= I46 /\ I62 + 2 <= I45 /\ I61 + 2 <= I45 /\ I50 + 3 <= I42 /\ I49 + 3 <= I42 /\ 0 <= I59 - 1 /\ 0 <= I58 - 1 /\ -1 <= I57 - 1 /\ 0 <= I56 - 1 /\ 3 <= I55 - 1 /\ 0 <= I47 - 1 /\ 2 <= I46 - 1 /\ 0 <= I45 - 1 /\ 0 <= I43 - 1 /\ 3 <= I42 - 1 /\ I59 <= I47 /\ I59 + 2 <= I46 /\ I59 <= I45 /\ I59 <= I43 /\ I59 + 3 <= I42 /\ I58 + 2 <= I46 /\ I58 <= I45 /\ I57 + 3 <= I46 /\ I57 + 1 <= I45 /\ I56 <= I47 /\ I56 + 2 <= I46 /\ I56 <= I45 /\ I56 <= I43 /\ I56 + 3 <= I42 /\ I55 <= I42 /\ 0 <= I54 - 1 /\ I48 <= I54 - 1]
92.33/91.68	R = 
92.33/91.68	  init(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13) 
92.33/91.68	  f8(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f7(I13, I14, I15, I2 + 1, I7, I8, I12, I9, I16, I17, I18, I19, I20) [I11 + 2 <= I4 /\ I10 + 2 <= I4 /\ I8 + 3 <= I0 /\ I7 + 3 <= I0 /\ 0 <= I15 - 1 /\ 0 <= I14 - 1 /\ 3 <= I13 - 1 /\ 0 <= I5 - 1 /\ 1 <= I4 - 1 /\ -1 <= I3 - 1 /\ 0 <= I1 - 1 /\ 3 <= I0 - 1 /\ I15 <= I5 /\ I15 + 1 <= I4 /\ I15 - 1 <= I3 /\ I15 <= I1 /\ I15 + 3 <= I0 /\ I14 <= I5 /\ I14 + 1 <= I4 /\ I14 - 1 <= I3 /\ I14 <= I1 /\ I14 + 3 <= I0 /\ I13 <= I0 /\ I6 <= I12 - 1 /\ -1 <= I9 - 1]
92.33/91.68	  f7(I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) -> f7(I34, I35, I36, I24 + 1, I25, I26, I27, I28, I37, I38, I39, I40, I41) [I26 + 3 <= I21 /\ I25 + 3 <= I21 /\ 0 <= I36 - 1 /\ 0 <= I35 - 1 /\ 3 <= I34 - 1 /\ 0 <= I23 - 1 /\ 0 <= I22 - 1 /\ 3 <= I21 - 1 /\ I36 <= I23 /\ I36 <= I22 /\ I36 + 3 <= I21 /\ I35 <= I23 /\ I35 <= I22 /\ I35 + 3 <= I21 /\ I34 <= I21 /\ I24 <= I28 - 1 /\ -1 <= I28 - 1]
92.33/91.68	  f8(I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f8(I55, I56, I44, I57, I58, I59, I60, I49, I50, I51, I61, I62, I54) [I53 + 2 <= I46 /\ I62 + 4 <= I46 /\ I61 + 4 <= I46 /\ I52 + 2 <= I46 /\ I62 + 2 <= I45 /\ I61 + 2 <= I45 /\ I50 + 3 <= I42 /\ I49 + 3 <= I42 /\ 0 <= I59 - 1 /\ 0 <= I58 - 1 /\ -1 <= I57 - 1 /\ 0 <= I56 - 1 /\ 3 <= I55 - 1 /\ 0 <= I47 - 1 /\ 2 <= I46 - 1 /\ 0 <= I45 - 1 /\ 0 <= I43 - 1 /\ 3 <= I42 - 1 /\ I59 <= I47 /\ I59 + 2 <= I46 /\ I59 <= I45 /\ I59 <= I43 /\ I59 + 3 <= I42 /\ I58 + 2 <= I46 /\ I58 <= I45 /\ I57 + 3 <= I46 /\ I57 + 1 <= I45 /\ I56 <= I47 /\ I56 + 2 <= I46 /\ I56 <= I45 /\ I56 <= I43 /\ I56 + 3 <= I42 /\ I55 <= I42 /\ 0 <= I54 - 1 /\ I48 <= I54 - 1]
92.33/91.68	  f7(I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f8(I76, I77, I66, I78, I79, I80, I81, I67, I68, I70, I82, I83, I69) [I68 + 3 <= I63 /\ I67 + 3 <= I63 /\ 0 <= I80 - 1 /\ 0 <= I79 - 1 /\ -1 <= I78 - 1 /\ 0 <= I77 - 1 /\ 3 <= I76 - 1 /\ 0 <= I65 - 1 /\ 0 <= I64 - 1 /\ 3 <= I63 - 1 /\ I80 <= I65 /\ I80 <= I64 /\ I80 + 3 <= I63 /\ I77 <= I65 /\ I77 <= I64 /\ I77 + 3 <= I63 /\ I76 <= I63 /\ I66 <= I70 - 1 /\ 0 <= I69 - 1]
92.33/91.68	  f5(I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96) -> f7(I97, I98, I99, 0, I91 + 1, I92, 2 * I90, I90, I100, I101, I102, I103, I104) [I92 + 3 <= I84 /\ I91 + 3 <= I84 /\ 0 <= I99 - 1 /\ 0 <= I98 - 1 /\ 3 <= I97 - 1 /\ -1 <= I87 - 1 /\ 3 <= I84 - 1 /\ I99 - 1 <= I87 /\ I99 + 3 <= I84 /\ I98 - 1 <= I87 /\ I98 + 3 <= I84 /\ I97 - 1 <= I84 /\ I92 <= I91 /\ 0 <= 2 * I90 /\ 1073741824 <= I90 - 1 /\ I86 <= I90 - 1]
92.33/91.68	  f5(I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117) -> f7(I118, I119, I120, 0, I112 + 1, I113, 2 * I111, I111, I121, I122, I123, I124, I125) [I113 + 3 <= I105 /\ I112 + 3 <= I105 /\ 0 <= I120 - 1 /\ 0 <= I119 - 1 /\ 3 <= I118 - 1 /\ -1 <= I108 - 1 /\ 3 <= I105 - 1 /\ I120 - 1 <= I108 /\ I120 + 3 <= I105 /\ I119 - 1 <= I108 /\ I119 + 3 <= I105 /\ I118 - 1 <= I105 /\ I111 <= 1073741823 /\ 0 <= 2 * I111 /\ I113 <= I112 /\ 1 <= I111 - 1 /\ I107 <= I111 - 1]
92.33/91.68	  f6(I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f5(I139, I133, I127, I140, I141, I142, I130, I131, I132, I143, I144, I145, I146) [0 = I129 /\ I135 + 4 <= I128 /\ I133 + 2 <= I128 /\ I132 + 3 <= I126 /\ I131 + 3 <= I126 /\ -1 <= I140 - 1 /\ 3 <= I139 - 1 /\ -1 <= I134 - 1 /\ 2 <= I128 - 1 /\ 3 <= I126 - 1 /\ I140 <= I134 /\ I140 + 2 <= I128 /\ I139 <= I126]
92.33/91.68	  f5(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) -> f5(I160, I148, I149, I161, I151, I152, I153, I154, I155, I162, I163, I164, I165) [I148 + 2 <= I150 /\ I155 + 3 <= I147 /\ I154 + 3 <= I147 /\ -1 <= I161 - 1 /\ 3 <= I160 - 1 /\ 2 <= I150 - 1 /\ 3 <= I147 - 1 /\ I161 + 2 <= I150 /\ 1 <= I153 - 1 /\ I160 <= I147]
92.33/91.68	  f5(I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178) -> f5(I179, I167, I168, I180, I170, I171, I172, I173, I174, I181, I182, I183, I184) [I167 + 2 <= I169 /\ I174 + 3 <= I166 /\ I173 + 3 <= I166 /\ -1 <= I180 - 1 /\ 3 <= I179 - 1 /\ 1 <= I169 - 1 /\ 3 <= I166 - 1 /\ I180 + 2 <= I169 /\ 1 <= I172 - 1 /\ I179 <= I166]
92.33/91.68	  f5(I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) -> f5(I198, I186, I187, I199, I189, I190, I191, I192, I193, I200, I201, I202, I203) [I198 <= I185 /\ I186 <= y1 - 1 /\ I199 + 1 <= I188 /\ 3 <= I185 - 1 /\ 0 <= I188 - 1 /\ 3 <= I198 - 1 /\ -1 <= I199 - 1 /\ I192 + 3 <= I185 /\ I193 + 3 <= I185]
92.33/91.68	  f5(I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216) -> f5(I217, I205, I206, I218, I208, I209, I210, I211, I212, I219, I220, I221, I222) [I217 <= I204 /\ I223 <= I205 - 1 /\ I218 + 1 <= I207 /\ 3 <= I204 - 1 /\ 0 <= I207 - 1 /\ 3 <= I217 - 1 /\ -1 <= I218 - 1 /\ I211 + 3 <= I204 /\ I212 + 3 <= I204]
92.33/91.68	  f5(I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236) -> f6(I237, I226, I238, 1, I230, I231, I232, I225, I239, I240, I241, I242, I243) [I240 + 4 <= I227 /\ I225 + 2 <= I227 /\ I232 + 3 <= I224 /\ I231 + 3 <= I224 /\ -1 <= I239 - 1 /\ 2 <= I238 - 1 /\ 3 <= I237 - 1 /\ 2 <= I227 - 1 /\ 3 <= I224 - 1 /\ I239 + 2 <= I227 /\ I238 <= I227 /\ 1 <= I230 - 1 /\ I237 <= I224]
92.33/91.68	  f5(I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256) -> f6(I257, I246, I258, 0, I250, I251, I252, I245, I259, I260, I261, I262, I263) [I260 + 4 <= I247 /\ I245 + 2 <= I247 /\ I252 + 3 <= I244 /\ I251 + 3 <= I244 /\ -1 <= I259 - 1 /\ 2 <= I258 - 1 /\ 3 <= I257 - 1 /\ 2 <= I247 - 1 /\ 3 <= I244 - 1 /\ I259 + 2 <= I247 /\ I258 <= I247 /\ 1 <= I250 - 1 /\ I257 <= I244]
92.33/91.68	  f4(I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276) -> f5(I277, I278, I279, I280, I266, I267 + 2, I268, I269, I270, I281, I282, I283, I284) [I267 + 1 <= I266 - 1 /\ 1 <= I268 - 1 /\ 0 <= I265 - 1 /\ -1 <= I266 - 1 /\ -1 <= I267 - 1 /\ -1 <= I285 - 1 /\ -1 <= y2 - 1 /\ I279 <= I268 - 1 /\ I277 <= I264 /\ 3 <= I264 - 1 /\ 3 <= I277 - 1 /\ -1 <= I280 - 1 /\ I270 + 3 <= I264 /\ I269 + 3 <= I264]
92.33/91.68	  f4(I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298) -> f4(I299, I287 - 1, I288, I289 + 2, I300, I301, I302, I303, I304, I305, I306, I307, I308) [0 <= I287 - 1 /\ I289 + 1 <= I288 - 1 /\ -1 <= I288 - 1 /\ -1 <= I289 - 1 /\ -1 <= I309 - 1 /\ -1 <= I310 - 1 /\ 1 <= I290 - 1 /\ 3 <= I286 - 1 /\ 3 <= I299 - 1 /\ I292 + 3 <= I286 /\ I291 + 3 <= I286]
92.33/91.68	  f1(I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323) -> f4(I324, I325, I312, 1, 16, 0, 12, I326, I327, I328, I329, I330, I331) [14 <= I324 - 1 /\ 0 <= I311 - 1 /\ I324 - 14 <= I311 /\ 0 <= I312 - 1 /\ -1 <= I325 - 1]
92.33/91.68	  f2(I332, I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344) -> f2(I345, I346, I334 + 1, I335, I336, I337, I347, I348, I349, I350, I351, I352, I353) [I336 + 3 <= I332 /\ I335 + 3 <= I332 /\ 0 <= I346 - 1 /\ 3 <= I345 - 1 /\ 0 <= I333 - 1 /\ 3 <= I332 - 1 /\ I346 <= I333 /\ I346 + 3 <= I332 /\ I345 <= I332 /\ I334 <= I337 - 1 /\ -1 <= I337 - 1]
92.33/91.68	  f3(I354, I355, I356, I357, I358, I359, I360, I361, I362, I363, I364, I365, I366) -> f2(I367, I368, 0, I356, 12, 16, I369, I370, I371, I372, I373, I374, I375) [12 = I357 /\ 16 = I355 /\ I356 + 3 <= I354 /\ 0 <= I368 - 1 /\ 14 <= I367 - 1 /\ 14 <= I354 - 1 /\ I368 + 14 <= I354 /\ I367 <= I354]
92.33/91.68	  f1(I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388) -> f2(I389, I390, 0, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400) [-1 <= I393 - 1 /\ 0 <= I377 - 1 /\ -1 <= I401 - 1 /\ I390 <= I376 /\ 0 <= I376 - 1 /\ 3 <= I389 - 1 /\ 0 <= I390 - 1]
92.33/91.68	
92.33/91.68	The dependency graph for this problem is:
92.33/91.68	  1 -> 
92.33/91.68	  3 -> 1, 3
92.33/91.68	Where:
92.33/91.68	  1) f8#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f7#(I13, I14, I15, I2 + 1, I7, I8, I12, I9, I16, I17, I18, I19, I20) [I11 + 2 <= I4 /\ I10 + 2 <= I4 /\ I8 + 3 <= I0 /\ I7 + 3 <= I0 /\ 0 <= I15 - 1 /\ 0 <= I14 - 1 /\ 3 <= I13 - 1 /\ 0 <= I5 - 1 /\ 1 <= I4 - 1 /\ -1 <= I3 - 1 /\ 0 <= I1 - 1 /\ 3 <= I0 - 1 /\ I15 <= I5 /\ I15 + 1 <= I4 /\ I15 - 1 <= I3 /\ I15 <= I1 /\ I15 + 3 <= I0 /\ I14 <= I5 /\ I14 + 1 <= I4 /\ I14 - 1 <= I3 /\ I14 <= I1 /\ I14 + 3 <= I0 /\ I13 <= I0 /\ I6 <= I12 - 1 /\ -1 <= I9 - 1]
92.33/91.68	  3) f8#(I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f8#(I55, I56, I44, I57, I58, I59, I60, I49, I50, I51, I61, I62, I54) [I53 + 2 <= I46 /\ I62 + 4 <= I46 /\ I61 + 4 <= I46 /\ I52 + 2 <= I46 /\ I62 + 2 <= I45 /\ I61 + 2 <= I45 /\ I50 + 3 <= I42 /\ I49 + 3 <= I42 /\ 0 <= I59 - 1 /\ 0 <= I58 - 1 /\ -1 <= I57 - 1 /\ 0 <= I56 - 1 /\ 3 <= I55 - 1 /\ 0 <= I47 - 1 /\ 2 <= I46 - 1 /\ 0 <= I45 - 1 /\ 0 <= I43 - 1 /\ 3 <= I42 - 1 /\ I59 <= I47 /\ I59 + 2 <= I46 /\ I59 <= I45 /\ I59 <= I43 /\ I59 + 3 <= I42 /\ I58 + 2 <= I46 /\ I58 <= I45 /\ I57 + 3 <= I46 /\ I57 + 1 <= I45 /\ I56 <= I47 /\ I56 + 2 <= I46 /\ I56 <= I45 /\ I56 <= I43 /\ I56 + 3 <= I42 /\ I55 <= I42 /\ 0 <= I54 - 1 /\ I48 <= I54 - 1]
92.33/91.68	
92.33/91.68	We have the following SCCs.
92.33/91.68	  { 3 }
92.33/91.68	
92.33/91.68	DP problem for innermost termination.
92.33/91.68	P =
92.33/91.68	  f8#(I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f8#(I55, I56, I44, I57, I58, I59, I60, I49, I50, I51, I61, I62, I54) [I53 + 2 <= I46 /\ I62 + 4 <= I46 /\ I61 + 4 <= I46 /\ I52 + 2 <= I46 /\ I62 + 2 <= I45 /\ I61 + 2 <= I45 /\ I50 + 3 <= I42 /\ I49 + 3 <= I42 /\ 0 <= I59 - 1 /\ 0 <= I58 - 1 /\ -1 <= I57 - 1 /\ 0 <= I56 - 1 /\ 3 <= I55 - 1 /\ 0 <= I47 - 1 /\ 2 <= I46 - 1 /\ 0 <= I45 - 1 /\ 0 <= I43 - 1 /\ 3 <= I42 - 1 /\ I59 <= I47 /\ I59 + 2 <= I46 /\ I59 <= I45 /\ I59 <= I43 /\ I59 + 3 <= I42 /\ I58 + 2 <= I46 /\ I58 <= I45 /\ I57 + 3 <= I46 /\ I57 + 1 <= I45 /\ I56 <= I47 /\ I56 + 2 <= I46 /\ I56 <= I45 /\ I56 <= I43 /\ I56 + 3 <= I42 /\ I55 <= I42 /\ 0 <= I54 - 1 /\ I48 <= I54 - 1]
92.33/91.68	R = 
92.33/91.68	  init(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13) 
92.33/91.68	  f8(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f7(I13, I14, I15, I2 + 1, I7, I8, I12, I9, I16, I17, I18, I19, I20) [I11 + 2 <= I4 /\ I10 + 2 <= I4 /\ I8 + 3 <= I0 /\ I7 + 3 <= I0 /\ 0 <= I15 - 1 /\ 0 <= I14 - 1 /\ 3 <= I13 - 1 /\ 0 <= I5 - 1 /\ 1 <= I4 - 1 /\ -1 <= I3 - 1 /\ 0 <= I1 - 1 /\ 3 <= I0 - 1 /\ I15 <= I5 /\ I15 + 1 <= I4 /\ I15 - 1 <= I3 /\ I15 <= I1 /\ I15 + 3 <= I0 /\ I14 <= I5 /\ I14 + 1 <= I4 /\ I14 - 1 <= I3 /\ I14 <= I1 /\ I14 + 3 <= I0 /\ I13 <= I0 /\ I6 <= I12 - 1 /\ -1 <= I9 - 1]
92.33/91.68	  f7(I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) -> f7(I34, I35, I36, I24 + 1, I25, I26, I27, I28, I37, I38, I39, I40, I41) [I26 + 3 <= I21 /\ I25 + 3 <= I21 /\ 0 <= I36 - 1 /\ 0 <= I35 - 1 /\ 3 <= I34 - 1 /\ 0 <= I23 - 1 /\ 0 <= I22 - 1 /\ 3 <= I21 - 1 /\ I36 <= I23 /\ I36 <= I22 /\ I36 + 3 <= I21 /\ I35 <= I23 /\ I35 <= I22 /\ I35 + 3 <= I21 /\ I34 <= I21 /\ I24 <= I28 - 1 /\ -1 <= I28 - 1]
92.33/91.68	  f8(I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f8(I55, I56, I44, I57, I58, I59, I60, I49, I50, I51, I61, I62, I54) [I53 + 2 <= I46 /\ I62 + 4 <= I46 /\ I61 + 4 <= I46 /\ I52 + 2 <= I46 /\ I62 + 2 <= I45 /\ I61 + 2 <= I45 /\ I50 + 3 <= I42 /\ I49 + 3 <= I42 /\ 0 <= I59 - 1 /\ 0 <= I58 - 1 /\ -1 <= I57 - 1 /\ 0 <= I56 - 1 /\ 3 <= I55 - 1 /\ 0 <= I47 - 1 /\ 2 <= I46 - 1 /\ 0 <= I45 - 1 /\ 0 <= I43 - 1 /\ 3 <= I42 - 1 /\ I59 <= I47 /\ I59 + 2 <= I46 /\ I59 <= I45 /\ I59 <= I43 /\ I59 + 3 <= I42 /\ I58 + 2 <= I46 /\ I58 <= I45 /\ I57 + 3 <= I46 /\ I57 + 1 <= I45 /\ I56 <= I47 /\ I56 + 2 <= I46 /\ I56 <= I45 /\ I56 <= I43 /\ I56 + 3 <= I42 /\ I55 <= I42 /\ 0 <= I54 - 1 /\ I48 <= I54 - 1]
92.33/91.68	  f7(I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f8(I76, I77, I66, I78, I79, I80, I81, I67, I68, I70, I82, I83, I69) [I68 + 3 <= I63 /\ I67 + 3 <= I63 /\ 0 <= I80 - 1 /\ 0 <= I79 - 1 /\ -1 <= I78 - 1 /\ 0 <= I77 - 1 /\ 3 <= I76 - 1 /\ 0 <= I65 - 1 /\ 0 <= I64 - 1 /\ 3 <= I63 - 1 /\ I80 <= I65 /\ I80 <= I64 /\ I80 + 3 <= I63 /\ I77 <= I65 /\ I77 <= I64 /\ I77 + 3 <= I63 /\ I76 <= I63 /\ I66 <= I70 - 1 /\ 0 <= I69 - 1]
92.33/91.68	  f5(I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96) -> f7(I97, I98, I99, 0, I91 + 1, I92, 2 * I90, I90, I100, I101, I102, I103, I104) [I92 + 3 <= I84 /\ I91 + 3 <= I84 /\ 0 <= I99 - 1 /\ 0 <= I98 - 1 /\ 3 <= I97 - 1 /\ -1 <= I87 - 1 /\ 3 <= I84 - 1 /\ I99 - 1 <= I87 /\ I99 + 3 <= I84 /\ I98 - 1 <= I87 /\ I98 + 3 <= I84 /\ I97 - 1 <= I84 /\ I92 <= I91 /\ 0 <= 2 * I90 /\ 1073741824 <= I90 - 1 /\ I86 <= I90 - 1]
92.33/91.68	  f5(I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117) -> f7(I118, I119, I120, 0, I112 + 1, I113, 2 * I111, I111, I121, I122, I123, I124, I125) [I113 + 3 <= I105 /\ I112 + 3 <= I105 /\ 0 <= I120 - 1 /\ 0 <= I119 - 1 /\ 3 <= I118 - 1 /\ -1 <= I108 - 1 /\ 3 <= I105 - 1 /\ I120 - 1 <= I108 /\ I120 + 3 <= I105 /\ I119 - 1 <= I108 /\ I119 + 3 <= I105 /\ I118 - 1 <= I105 /\ I111 <= 1073741823 /\ 0 <= 2 * I111 /\ I113 <= I112 /\ 1 <= I111 - 1 /\ I107 <= I111 - 1]
92.33/91.68	  f6(I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f5(I139, I133, I127, I140, I141, I142, I130, I131, I132, I143, I144, I145, I146) [0 = I129 /\ I135 + 4 <= I128 /\ I133 + 2 <= I128 /\ I132 + 3 <= I126 /\ I131 + 3 <= I126 /\ -1 <= I140 - 1 /\ 3 <= I139 - 1 /\ -1 <= I134 - 1 /\ 2 <= I128 - 1 /\ 3 <= I126 - 1 /\ I140 <= I134 /\ I140 + 2 <= I128 /\ I139 <= I126]
92.33/91.68	  f5(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) -> f5(I160, I148, I149, I161, I151, I152, I153, I154, I155, I162, I163, I164, I165) [I148 + 2 <= I150 /\ I155 + 3 <= I147 /\ I154 + 3 <= I147 /\ -1 <= I161 - 1 /\ 3 <= I160 - 1 /\ 2 <= I150 - 1 /\ 3 <= I147 - 1 /\ I161 + 2 <= I150 /\ 1 <= I153 - 1 /\ I160 <= I147]
92.33/91.68	  f5(I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178) -> f5(I179, I167, I168, I180, I170, I171, I172, I173, I174, I181, I182, I183, I184) [I167 + 2 <= I169 /\ I174 + 3 <= I166 /\ I173 + 3 <= I166 /\ -1 <= I180 - 1 /\ 3 <= I179 - 1 /\ 1 <= I169 - 1 /\ 3 <= I166 - 1 /\ I180 + 2 <= I169 /\ 1 <= I172 - 1 /\ I179 <= I166]
92.33/91.68	  f5(I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) -> f5(I198, I186, I187, I199, I189, I190, I191, I192, I193, I200, I201, I202, I203) [I198 <= I185 /\ I186 <= y1 - 1 /\ I199 + 1 <= I188 /\ 3 <= I185 - 1 /\ 0 <= I188 - 1 /\ 3 <= I198 - 1 /\ -1 <= I199 - 1 /\ I192 + 3 <= I185 /\ I193 + 3 <= I185]
92.33/91.68	  f5(I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216) -> f5(I217, I205, I206, I218, I208, I209, I210, I211, I212, I219, I220, I221, I222) [I217 <= I204 /\ I223 <= I205 - 1 /\ I218 + 1 <= I207 /\ 3 <= I204 - 1 /\ 0 <= I207 - 1 /\ 3 <= I217 - 1 /\ -1 <= I218 - 1 /\ I211 + 3 <= I204 /\ I212 + 3 <= I204]
92.33/91.68	  f5(I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236) -> f6(I237, I226, I238, 1, I230, I231, I232, I225, I239, I240, I241, I242, I243) [I240 + 4 <= I227 /\ I225 + 2 <= I227 /\ I232 + 3 <= I224 /\ I231 + 3 <= I224 /\ -1 <= I239 - 1 /\ 2 <= I238 - 1 /\ 3 <= I237 - 1 /\ 2 <= I227 - 1 /\ 3 <= I224 - 1 /\ I239 + 2 <= I227 /\ I238 <= I227 /\ 1 <= I230 - 1 /\ I237 <= I224]
92.33/91.68	  f5(I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256) -> f6(I257, I246, I258, 0, I250, I251, I252, I245, I259, I260, I261, I262, I263) [I260 + 4 <= I247 /\ I245 + 2 <= I247 /\ I252 + 3 <= I244 /\ I251 + 3 <= I244 /\ -1 <= I259 - 1 /\ 2 <= I258 - 1 /\ 3 <= I257 - 1 /\ 2 <= I247 - 1 /\ 3 <= I244 - 1 /\ I259 + 2 <= I247 /\ I258 <= I247 /\ 1 <= I250 - 1 /\ I257 <= I244]
92.33/91.68	  f4(I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276) -> f5(I277, I278, I279, I280, I266, I267 + 2, I268, I269, I270, I281, I282, I283, I284) [I267 + 1 <= I266 - 1 /\ 1 <= I268 - 1 /\ 0 <= I265 - 1 /\ -1 <= I266 - 1 /\ -1 <= I267 - 1 /\ -1 <= I285 - 1 /\ -1 <= y2 - 1 /\ I279 <= I268 - 1 /\ I277 <= I264 /\ 3 <= I264 - 1 /\ 3 <= I277 - 1 /\ -1 <= I280 - 1 /\ I270 + 3 <= I264 /\ I269 + 3 <= I264]
92.33/91.68	  f4(I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298) -> f4(I299, I287 - 1, I288, I289 + 2, I300, I301, I302, I303, I304, I305, I306, I307, I308) [0 <= I287 - 1 /\ I289 + 1 <= I288 - 1 /\ -1 <= I288 - 1 /\ -1 <= I289 - 1 /\ -1 <= I309 - 1 /\ -1 <= I310 - 1 /\ 1 <= I290 - 1 /\ 3 <= I286 - 1 /\ 3 <= I299 - 1 /\ I292 + 3 <= I286 /\ I291 + 3 <= I286]
92.33/91.68	  f1(I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323) -> f4(I324, I325, I312, 1, 16, 0, 12, I326, I327, I328, I329, I330, I331) [14 <= I324 - 1 /\ 0 <= I311 - 1 /\ I324 - 14 <= I311 /\ 0 <= I312 - 1 /\ -1 <= I325 - 1]
92.33/91.68	  f2(I332, I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344) -> f2(I345, I346, I334 + 1, I335, I336, I337, I347, I348, I349, I350, I351, I352, I353) [I336 + 3 <= I332 /\ I335 + 3 <= I332 /\ 0 <= I346 - 1 /\ 3 <= I345 - 1 /\ 0 <= I333 - 1 /\ 3 <= I332 - 1 /\ I346 <= I333 /\ I346 + 3 <= I332 /\ I345 <= I332 /\ I334 <= I337 - 1 /\ -1 <= I337 - 1]
92.33/91.68	  f3(I354, I355, I356, I357, I358, I359, I360, I361, I362, I363, I364, I365, I366) -> f2(I367, I368, 0, I356, 12, 16, I369, I370, I371, I372, I373, I374, I375) [12 = I357 /\ 16 = I355 /\ I356 + 3 <= I354 /\ 0 <= I368 - 1 /\ 14 <= I367 - 1 /\ 14 <= I354 - 1 /\ I368 + 14 <= I354 /\ I367 <= I354]
92.33/91.68	  f1(I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388) -> f2(I389, I390, 0, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400) [-1 <= I393 - 1 /\ 0 <= I377 - 1 /\ -1 <= I401 - 1 /\ I390 <= I376 /\ 0 <= I376 - 1 /\ 3 <= I389 - 1 /\ 0 <= I390 - 1]
92.33/91.68	
92.33/91.68	We use the basic value criterion with the projection function NU:
92.33/91.68	  NU[f8#(z1,z2,z3,z4,z5,z6,z7,z8,z9,z10,z11,z12,z13)] = z5
92.33/91.68	
92.33/91.68	This gives the following inequalities:
92.33/91.68	  I53 + 2 <= I46 /\ I62 + 4 <= I46 /\ I61 + 4 <= I46 /\ I52 + 2 <= I46 /\ I62 + 2 <= I45 /\ I61 + 2 <= I45 /\ I50 + 3 <= I42 /\ I49 + 3 <= I42 /\ 0 <= I59 - 1 /\ 0 <= I58 - 1 /\ -1 <= I57 - 1 /\ 0 <= I56 - 1 /\ 3 <= I55 - 1 /\ 0 <= I47 - 1 /\ 2 <= I46 - 1 /\ 0 <= I45 - 1 /\ 0 <= I43 - 1 /\ 3 <= I42 - 1 /\ I59 <= I47 /\ I59 + 2 <= I46 /\ I59 <= I45 /\ I59 <= I43 /\ I59 + 3 <= I42 /\ I58 + 2 <= I46 /\ I58 <= I45 /\ I57 + 3 <= I46 /\ I57 + 1 <= I45 /\ I56 <= I47 /\ I56 + 2 <= I46 /\ I56 <= I45 /\ I56 <= I43 /\ I56 + 3 <= I42 /\ I55 <= I42 /\ 0 <= I54 - 1 /\ I48 <= I54 - 1  ==>  I46 >! I58
92.33/91.68	
92.33/91.68	All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed.
92.33/91.68	
92.33/91.68	DP problem for innermost termination.
92.33/91.68	P =
92.33/91.68	  f6#(I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f5#(I139, I133, I127, I140, I141, I142, I130, I131, I132, I143, I144, I145, I146) [0 = I129 /\ I135 + 4 <= I128 /\ I133 + 2 <= I128 /\ I132 + 3 <= I126 /\ I131 + 3 <= I126 /\ -1 <= I140 - 1 /\ 3 <= I139 - 1 /\ -1 <= I134 - 1 /\ 2 <= I128 - 1 /\ 3 <= I126 - 1 /\ I140 <= I134 /\ I140 + 2 <= I128 /\ I139 <= I126]
92.33/91.68	  f5#(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) -> f5#(I160, I148, I149, I161, I151, I152, I153, I154, I155, I162, I163, I164, I165) [I148 + 2 <= I150 /\ I155 + 3 <= I147 /\ I154 + 3 <= I147 /\ -1 <= I161 - 1 /\ 3 <= I160 - 1 /\ 2 <= I150 - 1 /\ 3 <= I147 - 1 /\ I161 + 2 <= I150 /\ 1 <= I153 - 1 /\ I160 <= I147]
92.33/91.68	  f5#(I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178) -> f5#(I179, I167, I168, I180, I170, I171, I172, I173, I174, I181, I182, I183, I184) [I167 + 2 <= I169 /\ I174 + 3 <= I166 /\ I173 + 3 <= I166 /\ -1 <= I180 - 1 /\ 3 <= I179 - 1 /\ 1 <= I169 - 1 /\ 3 <= I166 - 1 /\ I180 + 2 <= I169 /\ 1 <= I172 - 1 /\ I179 <= I166]
92.33/91.68	  f5#(I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) -> f5#(I198, I186, I187, I199, I189, I190, I191, I192, I193, I200, I201, I202, I203) [I198 <= I185 /\ I186 <= y1 - 1 /\ I199 + 1 <= I188 /\ 3 <= I185 - 1 /\ 0 <= I188 - 1 /\ 3 <= I198 - 1 /\ -1 <= I199 - 1 /\ I192 + 3 <= I185 /\ I193 + 3 <= I185]
92.33/91.68	  f5#(I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216) -> f5#(I217, I205, I206, I218, I208, I209, I210, I211, I212, I219, I220, I221, I222) [I217 <= I204 /\ I223 <= I205 - 1 /\ I218 + 1 <= I207 /\ 3 <= I204 - 1 /\ 0 <= I207 - 1 /\ 3 <= I217 - 1 /\ -1 <= I218 - 1 /\ I211 + 3 <= I204 /\ I212 + 3 <= I204]
92.33/91.68	  f5#(I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256) -> f6#(I257, I246, I258, 0, I250, I251, I252, I245, I259, I260, I261, I262, I263) [I260 + 4 <= I247 /\ I245 + 2 <= I247 /\ I252 + 3 <= I244 /\ I251 + 3 <= I244 /\ -1 <= I259 - 1 /\ 2 <= I258 - 1 /\ 3 <= I257 - 1 /\ 2 <= I247 - 1 /\ 3 <= I244 - 1 /\ I259 + 2 <= I247 /\ I258 <= I247 /\ 1 <= I250 - 1 /\ I257 <= I244]
92.33/91.68	R = 
92.33/91.68	  init(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13) 
92.33/91.68	  f8(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f7(I13, I14, I15, I2 + 1, I7, I8, I12, I9, I16, I17, I18, I19, I20) [I11 + 2 <= I4 /\ I10 + 2 <= I4 /\ I8 + 3 <= I0 /\ I7 + 3 <= I0 /\ 0 <= I15 - 1 /\ 0 <= I14 - 1 /\ 3 <= I13 - 1 /\ 0 <= I5 - 1 /\ 1 <= I4 - 1 /\ -1 <= I3 - 1 /\ 0 <= I1 - 1 /\ 3 <= I0 - 1 /\ I15 <= I5 /\ I15 + 1 <= I4 /\ I15 - 1 <= I3 /\ I15 <= I1 /\ I15 + 3 <= I0 /\ I14 <= I5 /\ I14 + 1 <= I4 /\ I14 - 1 <= I3 /\ I14 <= I1 /\ I14 + 3 <= I0 /\ I13 <= I0 /\ I6 <= I12 - 1 /\ -1 <= I9 - 1]
92.33/91.68	  f7(I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) -> f7(I34, I35, I36, I24 + 1, I25, I26, I27, I28, I37, I38, I39, I40, I41) [I26 + 3 <= I21 /\ I25 + 3 <= I21 /\ 0 <= I36 - 1 /\ 0 <= I35 - 1 /\ 3 <= I34 - 1 /\ 0 <= I23 - 1 /\ 0 <= I22 - 1 /\ 3 <= I21 - 1 /\ I36 <= I23 /\ I36 <= I22 /\ I36 + 3 <= I21 /\ I35 <= I23 /\ I35 <= I22 /\ I35 + 3 <= I21 /\ I34 <= I21 /\ I24 <= I28 - 1 /\ -1 <= I28 - 1]
92.33/91.68	  f8(I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f8(I55, I56, I44, I57, I58, I59, I60, I49, I50, I51, I61, I62, I54) [I53 + 2 <= I46 /\ I62 + 4 <= I46 /\ I61 + 4 <= I46 /\ I52 + 2 <= I46 /\ I62 + 2 <= I45 /\ I61 + 2 <= I45 /\ I50 + 3 <= I42 /\ I49 + 3 <= I42 /\ 0 <= I59 - 1 /\ 0 <= I58 - 1 /\ -1 <= I57 - 1 /\ 0 <= I56 - 1 /\ 3 <= I55 - 1 /\ 0 <= I47 - 1 /\ 2 <= I46 - 1 /\ 0 <= I45 - 1 /\ 0 <= I43 - 1 /\ 3 <= I42 - 1 /\ I59 <= I47 /\ I59 + 2 <= I46 /\ I59 <= I45 /\ I59 <= I43 /\ I59 + 3 <= I42 /\ I58 + 2 <= I46 /\ I58 <= I45 /\ I57 + 3 <= I46 /\ I57 + 1 <= I45 /\ I56 <= I47 /\ I56 + 2 <= I46 /\ I56 <= I45 /\ I56 <= I43 /\ I56 + 3 <= I42 /\ I55 <= I42 /\ 0 <= I54 - 1 /\ I48 <= I54 - 1]
92.33/91.68	  f7(I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f8(I76, I77, I66, I78, I79, I80, I81, I67, I68, I70, I82, I83, I69) [I68 + 3 <= I63 /\ I67 + 3 <= I63 /\ 0 <= I80 - 1 /\ 0 <= I79 - 1 /\ -1 <= I78 - 1 /\ 0 <= I77 - 1 /\ 3 <= I76 - 1 /\ 0 <= I65 - 1 /\ 0 <= I64 - 1 /\ 3 <= I63 - 1 /\ I80 <= I65 /\ I80 <= I64 /\ I80 + 3 <= I63 /\ I77 <= I65 /\ I77 <= I64 /\ I77 + 3 <= I63 /\ I76 <= I63 /\ I66 <= I70 - 1 /\ 0 <= I69 - 1]
92.33/91.68	  f5(I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96) -> f7(I97, I98, I99, 0, I91 + 1, I92, 2 * I90, I90, I100, I101, I102, I103, I104) [I92 + 3 <= I84 /\ I91 + 3 <= I84 /\ 0 <= I99 - 1 /\ 0 <= I98 - 1 /\ 3 <= I97 - 1 /\ -1 <= I87 - 1 /\ 3 <= I84 - 1 /\ I99 - 1 <= I87 /\ I99 + 3 <= I84 /\ I98 - 1 <= I87 /\ I98 + 3 <= I84 /\ I97 - 1 <= I84 /\ I92 <= I91 /\ 0 <= 2 * I90 /\ 1073741824 <= I90 - 1 /\ I86 <= I90 - 1]
92.33/91.68	  f5(I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117) -> f7(I118, I119, I120, 0, I112 + 1, I113, 2 * I111, I111, I121, I122, I123, I124, I125) [I113 + 3 <= I105 /\ I112 + 3 <= I105 /\ 0 <= I120 - 1 /\ 0 <= I119 - 1 /\ 3 <= I118 - 1 /\ -1 <= I108 - 1 /\ 3 <= I105 - 1 /\ I120 - 1 <= I108 /\ I120 + 3 <= I105 /\ I119 - 1 <= I108 /\ I119 + 3 <= I105 /\ I118 - 1 <= I105 /\ I111 <= 1073741823 /\ 0 <= 2 * I111 /\ I113 <= I112 /\ 1 <= I111 - 1 /\ I107 <= I111 - 1]
92.33/91.68	  f6(I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f5(I139, I133, I127, I140, I141, I142, I130, I131, I132, I143, I144, I145, I146) [0 = I129 /\ I135 + 4 <= I128 /\ I133 + 2 <= I128 /\ I132 + 3 <= I126 /\ I131 + 3 <= I126 /\ -1 <= I140 - 1 /\ 3 <= I139 - 1 /\ -1 <= I134 - 1 /\ 2 <= I128 - 1 /\ 3 <= I126 - 1 /\ I140 <= I134 /\ I140 + 2 <= I128 /\ I139 <= I126]
92.33/91.68	  f5(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) -> f5(I160, I148, I149, I161, I151, I152, I153, I154, I155, I162, I163, I164, I165) [I148 + 2 <= I150 /\ I155 + 3 <= I147 /\ I154 + 3 <= I147 /\ -1 <= I161 - 1 /\ 3 <= I160 - 1 /\ 2 <= I150 - 1 /\ 3 <= I147 - 1 /\ I161 + 2 <= I150 /\ 1 <= I153 - 1 /\ I160 <= I147]
92.33/91.68	  f5(I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178) -> f5(I179, I167, I168, I180, I170, I171, I172, I173, I174, I181, I182, I183, I184) [I167 + 2 <= I169 /\ I174 + 3 <= I166 /\ I173 + 3 <= I166 /\ -1 <= I180 - 1 /\ 3 <= I179 - 1 /\ 1 <= I169 - 1 /\ 3 <= I166 - 1 /\ I180 + 2 <= I169 /\ 1 <= I172 - 1 /\ I179 <= I166]
92.33/91.68	  f5(I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) -> f5(I198, I186, I187, I199, I189, I190, I191, I192, I193, I200, I201, I202, I203) [I198 <= I185 /\ I186 <= y1 - 1 /\ I199 + 1 <= I188 /\ 3 <= I185 - 1 /\ 0 <= I188 - 1 /\ 3 <= I198 - 1 /\ -1 <= I199 - 1 /\ I192 + 3 <= I185 /\ I193 + 3 <= I185]
92.33/91.68	  f5(I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216) -> f5(I217, I205, I206, I218, I208, I209, I210, I211, I212, I219, I220, I221, I222) [I217 <= I204 /\ I223 <= I205 - 1 /\ I218 + 1 <= I207 /\ 3 <= I204 - 1 /\ 0 <= I207 - 1 /\ 3 <= I217 - 1 /\ -1 <= I218 - 1 /\ I211 + 3 <= I204 /\ I212 + 3 <= I204]
92.33/91.68	  f5(I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236) -> f6(I237, I226, I238, 1, I230, I231, I232, I225, I239, I240, I241, I242, I243) [I240 + 4 <= I227 /\ I225 + 2 <= I227 /\ I232 + 3 <= I224 /\ I231 + 3 <= I224 /\ -1 <= I239 - 1 /\ 2 <= I238 - 1 /\ 3 <= I237 - 1 /\ 2 <= I227 - 1 /\ 3 <= I224 - 1 /\ I239 + 2 <= I227 /\ I238 <= I227 /\ 1 <= I230 - 1 /\ I237 <= I224]
92.33/91.68	  f5(I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256) -> f6(I257, I246, I258, 0, I250, I251, I252, I245, I259, I260, I261, I262, I263) [I260 + 4 <= I247 /\ I245 + 2 <= I247 /\ I252 + 3 <= I244 /\ I251 + 3 <= I244 /\ -1 <= I259 - 1 /\ 2 <= I258 - 1 /\ 3 <= I257 - 1 /\ 2 <= I247 - 1 /\ 3 <= I244 - 1 /\ I259 + 2 <= I247 /\ I258 <= I247 /\ 1 <= I250 - 1 /\ I257 <= I244]
92.33/91.68	  f4(I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276) -> f5(I277, I278, I279, I280, I266, I267 + 2, I268, I269, I270, I281, I282, I283, I284) [I267 + 1 <= I266 - 1 /\ 1 <= I268 - 1 /\ 0 <= I265 - 1 /\ -1 <= I266 - 1 /\ -1 <= I267 - 1 /\ -1 <= I285 - 1 /\ -1 <= y2 - 1 /\ I279 <= I268 - 1 /\ I277 <= I264 /\ 3 <= I264 - 1 /\ 3 <= I277 - 1 /\ -1 <= I280 - 1 /\ I270 + 3 <= I264 /\ I269 + 3 <= I264]
92.33/91.68	  f4(I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298) -> f4(I299, I287 - 1, I288, I289 + 2, I300, I301, I302, I303, I304, I305, I306, I307, I308) [0 <= I287 - 1 /\ I289 + 1 <= I288 - 1 /\ -1 <= I288 - 1 /\ -1 <= I289 - 1 /\ -1 <= I309 - 1 /\ -1 <= I310 - 1 /\ 1 <= I290 - 1 /\ 3 <= I286 - 1 /\ 3 <= I299 - 1 /\ I292 + 3 <= I286 /\ I291 + 3 <= I286]
92.33/91.68	  f1(I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323) -> f4(I324, I325, I312, 1, 16, 0, 12, I326, I327, I328, I329, I330, I331) [14 <= I324 - 1 /\ 0 <= I311 - 1 /\ I324 - 14 <= I311 /\ 0 <= I312 - 1 /\ -1 <= I325 - 1]
92.33/91.68	  f2(I332, I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344) -> f2(I345, I346, I334 + 1, I335, I336, I337, I347, I348, I349, I350, I351, I352, I353) [I336 + 3 <= I332 /\ I335 + 3 <= I332 /\ 0 <= I346 - 1 /\ 3 <= I345 - 1 /\ 0 <= I333 - 1 /\ 3 <= I332 - 1 /\ I346 <= I333 /\ I346 + 3 <= I332 /\ I345 <= I332 /\ I334 <= I337 - 1 /\ -1 <= I337 - 1]
92.33/91.68	  f3(I354, I355, I356, I357, I358, I359, I360, I361, I362, I363, I364, I365, I366) -> f2(I367, I368, 0, I356, 12, 16, I369, I370, I371, I372, I373, I374, I375) [12 = I357 /\ 16 = I355 /\ I356 + 3 <= I354 /\ 0 <= I368 - 1 /\ 14 <= I367 - 1 /\ 14 <= I354 - 1 /\ I368 + 14 <= I354 /\ I367 <= I354]
92.33/91.68	  f1(I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388) -> f2(I389, I390, 0, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400) [-1 <= I393 - 1 /\ 0 <= I377 - 1 /\ -1 <= I401 - 1 /\ I390 <= I376 /\ 0 <= I376 - 1 /\ 3 <= I389 - 1 /\ 0 <= I390 - 1]
92.33/91.68	
92.33/91.68	We use the basic value criterion with the projection function NU:
92.33/91.68	  NU[f5#(z1,z2,z3,z4,z5,z6,z7,z8,z9,z10,z11,z12,z13)] = z4
92.33/91.68	  NU[f6#(z1,z2,z3,z4,z5,z6,z7,z8,z9,z10,z11,z12,z13)] = z9
92.33/91.68	
92.33/91.68	This gives the following inequalities:
92.33/91.68	  0 = I129 /\ I135 + 4 <= I128 /\ I133 + 2 <= I128 /\ I132 + 3 <= I126 /\ I131 + 3 <= I126 /\ -1 <= I140 - 1 /\ 3 <= I139 - 1 /\ -1 <= I134 - 1 /\ 2 <= I128 - 1 /\ 3 <= I126 - 1 /\ I140 <= I134 /\ I140 + 2 <= I128 /\ I139 <= I126  ==>  I134 (>! \union =) I140
92.33/91.68	  I148 + 2 <= I150 /\ I155 + 3 <= I147 /\ I154 + 3 <= I147 /\ -1 <= I161 - 1 /\ 3 <= I160 - 1 /\ 2 <= I150 - 1 /\ 3 <= I147 - 1 /\ I161 + 2 <= I150 /\ 1 <= I153 - 1 /\ I160 <= I147  ==>  I150 >! I161
92.33/91.68	  I167 + 2 <= I169 /\ I174 + 3 <= I166 /\ I173 + 3 <= I166 /\ -1 <= I180 - 1 /\ 3 <= I179 - 1 /\ 1 <= I169 - 1 /\ 3 <= I166 - 1 /\ I180 + 2 <= I169 /\ 1 <= I172 - 1 /\ I179 <= I166  ==>  I169 >! I180
92.33/91.68	  I198 <= I185 /\ I186 <= y1 - 1 /\ I199 + 1 <= I188 /\ 3 <= I185 - 1 /\ 0 <= I188 - 1 /\ 3 <= I198 - 1 /\ -1 <= I199 - 1 /\ I192 + 3 <= I185 /\ I193 + 3 <= I185  ==>  I188 >! I199
92.33/91.68	  I217 <= I204 /\ I223 <= I205 - 1 /\ I218 + 1 <= I207 /\ 3 <= I204 - 1 /\ 0 <= I207 - 1 /\ 3 <= I217 - 1 /\ -1 <= I218 - 1 /\ I211 + 3 <= I204 /\ I212 + 3 <= I204  ==>  I207 >! I218
92.33/91.68	  I260 + 4 <= I247 /\ I245 + 2 <= I247 /\ I252 + 3 <= I244 /\ I251 + 3 <= I244 /\ -1 <= I259 - 1 /\ 2 <= I258 - 1 /\ 3 <= I257 - 1 /\ 2 <= I247 - 1 /\ 3 <= I244 - 1 /\ I259 + 2 <= I247 /\ I258 <= I247 /\ 1 <= I250 - 1 /\ I257 <= I244  ==>  I247 >! I259
92.33/91.68	
92.33/91.68	We remove all the strictly oriented dependency pairs.
92.33/91.68	
92.33/91.68	DP problem for innermost termination.
92.33/91.68	P =
92.33/91.68	  f6#(I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f5#(I139, I133, I127, I140, I141, I142, I130, I131, I132, I143, I144, I145, I146) [0 = I129 /\ I135 + 4 <= I128 /\ I133 + 2 <= I128 /\ I132 + 3 <= I126 /\ I131 + 3 <= I126 /\ -1 <= I140 - 1 /\ 3 <= I139 - 1 /\ -1 <= I134 - 1 /\ 2 <= I128 - 1 /\ 3 <= I126 - 1 /\ I140 <= I134 /\ I140 + 2 <= I128 /\ I139 <= I126]
92.33/91.68	R = 
92.33/91.68	  init(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13) 
92.33/91.68	  f8(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f7(I13, I14, I15, I2 + 1, I7, I8, I12, I9, I16, I17, I18, I19, I20) [I11 + 2 <= I4 /\ I10 + 2 <= I4 /\ I8 + 3 <= I0 /\ I7 + 3 <= I0 /\ 0 <= I15 - 1 /\ 0 <= I14 - 1 /\ 3 <= I13 - 1 /\ 0 <= I5 - 1 /\ 1 <= I4 - 1 /\ -1 <= I3 - 1 /\ 0 <= I1 - 1 /\ 3 <= I0 - 1 /\ I15 <= I5 /\ I15 + 1 <= I4 /\ I15 - 1 <= I3 /\ I15 <= I1 /\ I15 + 3 <= I0 /\ I14 <= I5 /\ I14 + 1 <= I4 /\ I14 - 1 <= I3 /\ I14 <= I1 /\ I14 + 3 <= I0 /\ I13 <= I0 /\ I6 <= I12 - 1 /\ -1 <= I9 - 1]
92.33/91.68	  f7(I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) -> f7(I34, I35, I36, I24 + 1, I25, I26, I27, I28, I37, I38, I39, I40, I41) [I26 + 3 <= I21 /\ I25 + 3 <= I21 /\ 0 <= I36 - 1 /\ 0 <= I35 - 1 /\ 3 <= I34 - 1 /\ 0 <= I23 - 1 /\ 0 <= I22 - 1 /\ 3 <= I21 - 1 /\ I36 <= I23 /\ I36 <= I22 /\ I36 + 3 <= I21 /\ I35 <= I23 /\ I35 <= I22 /\ I35 + 3 <= I21 /\ I34 <= I21 /\ I24 <= I28 - 1 /\ -1 <= I28 - 1]
92.33/91.68	  f8(I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f8(I55, I56, I44, I57, I58, I59, I60, I49, I50, I51, I61, I62, I54) [I53 + 2 <= I46 /\ I62 + 4 <= I46 /\ I61 + 4 <= I46 /\ I52 + 2 <= I46 /\ I62 + 2 <= I45 /\ I61 + 2 <= I45 /\ I50 + 3 <= I42 /\ I49 + 3 <= I42 /\ 0 <= I59 - 1 /\ 0 <= I58 - 1 /\ -1 <= I57 - 1 /\ 0 <= I56 - 1 /\ 3 <= I55 - 1 /\ 0 <= I47 - 1 /\ 2 <= I46 - 1 /\ 0 <= I45 - 1 /\ 0 <= I43 - 1 /\ 3 <= I42 - 1 /\ I59 <= I47 /\ I59 + 2 <= I46 /\ I59 <= I45 /\ I59 <= I43 /\ I59 + 3 <= I42 /\ I58 + 2 <= I46 /\ I58 <= I45 /\ I57 + 3 <= I46 /\ I57 + 1 <= I45 /\ I56 <= I47 /\ I56 + 2 <= I46 /\ I56 <= I45 /\ I56 <= I43 /\ I56 + 3 <= I42 /\ I55 <= I42 /\ 0 <= I54 - 1 /\ I48 <= I54 - 1]
92.33/91.68	  f7(I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f8(I76, I77, I66, I78, I79, I80, I81, I67, I68, I70, I82, I83, I69) [I68 + 3 <= I63 /\ I67 + 3 <= I63 /\ 0 <= I80 - 1 /\ 0 <= I79 - 1 /\ -1 <= I78 - 1 /\ 0 <= I77 - 1 /\ 3 <= I76 - 1 /\ 0 <= I65 - 1 /\ 0 <= I64 - 1 /\ 3 <= I63 - 1 /\ I80 <= I65 /\ I80 <= I64 /\ I80 + 3 <= I63 /\ I77 <= I65 /\ I77 <= I64 /\ I77 + 3 <= I63 /\ I76 <= I63 /\ I66 <= I70 - 1 /\ 0 <= I69 - 1]
92.33/91.68	  f5(I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96) -> f7(I97, I98, I99, 0, I91 + 1, I92, 2 * I90, I90, I100, I101, I102, I103, I104) [I92 + 3 <= I84 /\ I91 + 3 <= I84 /\ 0 <= I99 - 1 /\ 0 <= I98 - 1 /\ 3 <= I97 - 1 /\ -1 <= I87 - 1 /\ 3 <= I84 - 1 /\ I99 - 1 <= I87 /\ I99 + 3 <= I84 /\ I98 - 1 <= I87 /\ I98 + 3 <= I84 /\ I97 - 1 <= I84 /\ I92 <= I91 /\ 0 <= 2 * I90 /\ 1073741824 <= I90 - 1 /\ I86 <= I90 - 1]
92.33/91.68	  f5(I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117) -> f7(I118, I119, I120, 0, I112 + 1, I113, 2 * I111, I111, I121, I122, I123, I124, I125) [I113 + 3 <= I105 /\ I112 + 3 <= I105 /\ 0 <= I120 - 1 /\ 0 <= I119 - 1 /\ 3 <= I118 - 1 /\ -1 <= I108 - 1 /\ 3 <= I105 - 1 /\ I120 - 1 <= I108 /\ I120 + 3 <= I105 /\ I119 - 1 <= I108 /\ I119 + 3 <= I105 /\ I118 - 1 <= I105 /\ I111 <= 1073741823 /\ 0 <= 2 * I111 /\ I113 <= I112 /\ 1 <= I111 - 1 /\ I107 <= I111 - 1]
92.33/91.68	  f6(I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f5(I139, I133, I127, I140, I141, I142, I130, I131, I132, I143, I144, I145, I146) [0 = I129 /\ I135 + 4 <= I128 /\ I133 + 2 <= I128 /\ I132 + 3 <= I126 /\ I131 + 3 <= I126 /\ -1 <= I140 - 1 /\ 3 <= I139 - 1 /\ -1 <= I134 - 1 /\ 2 <= I128 - 1 /\ 3 <= I126 - 1 /\ I140 <= I134 /\ I140 + 2 <= I128 /\ I139 <= I126]
92.33/91.68	  f5(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) -> f5(I160, I148, I149, I161, I151, I152, I153, I154, I155, I162, I163, I164, I165) [I148 + 2 <= I150 /\ I155 + 3 <= I147 /\ I154 + 3 <= I147 /\ -1 <= I161 - 1 /\ 3 <= I160 - 1 /\ 2 <= I150 - 1 /\ 3 <= I147 - 1 /\ I161 + 2 <= I150 /\ 1 <= I153 - 1 /\ I160 <= I147]
92.33/91.68	  f5(I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178) -> f5(I179, I167, I168, I180, I170, I171, I172, I173, I174, I181, I182, I183, I184) [I167 + 2 <= I169 /\ I174 + 3 <= I166 /\ I173 + 3 <= I166 /\ -1 <= I180 - 1 /\ 3 <= I179 - 1 /\ 1 <= I169 - 1 /\ 3 <= I166 - 1 /\ I180 + 2 <= I169 /\ 1 <= I172 - 1 /\ I179 <= I166]
92.33/91.68	  f5(I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) -> f5(I198, I186, I187, I199, I189, I190, I191, I192, I193, I200, I201, I202, I203) [I198 <= I185 /\ I186 <= y1 - 1 /\ I199 + 1 <= I188 /\ 3 <= I185 - 1 /\ 0 <= I188 - 1 /\ 3 <= I198 - 1 /\ -1 <= I199 - 1 /\ I192 + 3 <= I185 /\ I193 + 3 <= I185]
92.33/91.68	  f5(I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216) -> f5(I217, I205, I206, I218, I208, I209, I210, I211, I212, I219, I220, I221, I222) [I217 <= I204 /\ I223 <= I205 - 1 /\ I218 + 1 <= I207 /\ 3 <= I204 - 1 /\ 0 <= I207 - 1 /\ 3 <= I217 - 1 /\ -1 <= I218 - 1 /\ I211 + 3 <= I204 /\ I212 + 3 <= I204]
92.33/91.68	  f5(I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236) -> f6(I237, I226, I238, 1, I230, I231, I232, I225, I239, I240, I241, I242, I243) [I240 + 4 <= I227 /\ I225 + 2 <= I227 /\ I232 + 3 <= I224 /\ I231 + 3 <= I224 /\ -1 <= I239 - 1 /\ 2 <= I238 - 1 /\ 3 <= I237 - 1 /\ 2 <= I227 - 1 /\ 3 <= I224 - 1 /\ I239 + 2 <= I227 /\ I238 <= I227 /\ 1 <= I230 - 1 /\ I237 <= I224]
92.33/91.68	  f5(I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256) -> f6(I257, I246, I258, 0, I250, I251, I252, I245, I259, I260, I261, I262, I263) [I260 + 4 <= I247 /\ I245 + 2 <= I247 /\ I252 + 3 <= I244 /\ I251 + 3 <= I244 /\ -1 <= I259 - 1 /\ 2 <= I258 - 1 /\ 3 <= I257 - 1 /\ 2 <= I247 - 1 /\ 3 <= I244 - 1 /\ I259 + 2 <= I247 /\ I258 <= I247 /\ 1 <= I250 - 1 /\ I257 <= I244]
92.33/91.68	  f4(I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276) -> f5(I277, I278, I279, I280, I266, I267 + 2, I268, I269, I270, I281, I282, I283, I284) [I267 + 1 <= I266 - 1 /\ 1 <= I268 - 1 /\ 0 <= I265 - 1 /\ -1 <= I266 - 1 /\ -1 <= I267 - 1 /\ -1 <= I285 - 1 /\ -1 <= y2 - 1 /\ I279 <= I268 - 1 /\ I277 <= I264 /\ 3 <= I264 - 1 /\ 3 <= I277 - 1 /\ -1 <= I280 - 1 /\ I270 + 3 <= I264 /\ I269 + 3 <= I264]
92.33/91.68	  f4(I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298) -> f4(I299, I287 - 1, I288, I289 + 2, I300, I301, I302, I303, I304, I305, I306, I307, I308) [0 <= I287 - 1 /\ I289 + 1 <= I288 - 1 /\ -1 <= I288 - 1 /\ -1 <= I289 - 1 /\ -1 <= I309 - 1 /\ -1 <= I310 - 1 /\ 1 <= I290 - 1 /\ 3 <= I286 - 1 /\ 3 <= I299 - 1 /\ I292 + 3 <= I286 /\ I291 + 3 <= I286]
92.33/91.68	  f1(I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323) -> f4(I324, I325, I312, 1, 16, 0, 12, I326, I327, I328, I329, I330, I331) [14 <= I324 - 1 /\ 0 <= I311 - 1 /\ I324 - 14 <= I311 /\ 0 <= I312 - 1 /\ -1 <= I325 - 1]
92.33/91.68	  f2(I332, I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344) -> f2(I345, I346, I334 + 1, I335, I336, I337, I347, I348, I349, I350, I351, I352, I353) [I336 + 3 <= I332 /\ I335 + 3 <= I332 /\ 0 <= I346 - 1 /\ 3 <= I345 - 1 /\ 0 <= I333 - 1 /\ 3 <= I332 - 1 /\ I346 <= I333 /\ I346 + 3 <= I332 /\ I345 <= I332 /\ I334 <= I337 - 1 /\ -1 <= I337 - 1]
92.33/91.68	  f3(I354, I355, I356, I357, I358, I359, I360, I361, I362, I363, I364, I365, I366) -> f2(I367, I368, 0, I356, 12, 16, I369, I370, I371, I372, I373, I374, I375) [12 = I357 /\ 16 = I355 /\ I356 + 3 <= I354 /\ 0 <= I368 - 1 /\ 14 <= I367 - 1 /\ 14 <= I354 - 1 /\ I368 + 14 <= I354 /\ I367 <= I354]
92.33/91.68	  f1(I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388) -> f2(I389, I390, 0, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400) [-1 <= I393 - 1 /\ 0 <= I377 - 1 /\ -1 <= I401 - 1 /\ I390 <= I376 /\ 0 <= I376 - 1 /\ 3 <= I389 - 1 /\ 0 <= I390 - 1]
92.33/91.68	
92.33/91.68	The dependency graph for this problem is:
92.33/91.68	  7 -> 
92.33/91.68	Where:
92.33/91.68	  7) f6#(I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f5#(I139, I133, I127, I140, I141, I142, I130, I131, I132, I143, I144, I145, I146) [0 = I129 /\ I135 + 4 <= I128 /\ I133 + 2 <= I128 /\ I132 + 3 <= I126 /\ I131 + 3 <= I126 /\ -1 <= I140 - 1 /\ 3 <= I139 - 1 /\ -1 <= I134 - 1 /\ 2 <= I128 - 1 /\ 3 <= I126 - 1 /\ I140 <= I134 /\ I140 + 2 <= I128 /\ I139 <= I126]
92.33/91.68	
92.33/91.68	We have the following SCCs.
92.33/91.68	  
92.33/91.68	
92.33/91.68	DP problem for innermost termination.
92.33/91.68	P =
92.33/91.68	  f4#(I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298) -> f4#(I299, I287 - 1, I288, I289 + 2, I300, I301, I302, I303, I304, I305, I306, I307, I308) [0 <= I287 - 1 /\ I289 + 1 <= I288 - 1 /\ -1 <= I288 - 1 /\ -1 <= I289 - 1 /\ -1 <= I309 - 1 /\ -1 <= I310 - 1 /\ 1 <= I290 - 1 /\ 3 <= I286 - 1 /\ 3 <= I299 - 1 /\ I292 + 3 <= I286 /\ I291 + 3 <= I286]
92.33/91.68	R = 
92.33/91.68	  init(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13) 
92.33/91.68	  f8(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f7(I13, I14, I15, I2 + 1, I7, I8, I12, I9, I16, I17, I18, I19, I20) [I11 + 2 <= I4 /\ I10 + 2 <= I4 /\ I8 + 3 <= I0 /\ I7 + 3 <= I0 /\ 0 <= I15 - 1 /\ 0 <= I14 - 1 /\ 3 <= I13 - 1 /\ 0 <= I5 - 1 /\ 1 <= I4 - 1 /\ -1 <= I3 - 1 /\ 0 <= I1 - 1 /\ 3 <= I0 - 1 /\ I15 <= I5 /\ I15 + 1 <= I4 /\ I15 - 1 <= I3 /\ I15 <= I1 /\ I15 + 3 <= I0 /\ I14 <= I5 /\ I14 + 1 <= I4 /\ I14 - 1 <= I3 /\ I14 <= I1 /\ I14 + 3 <= I0 /\ I13 <= I0 /\ I6 <= I12 - 1 /\ -1 <= I9 - 1]
92.33/91.68	  f7(I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) -> f7(I34, I35, I36, I24 + 1, I25, I26, I27, I28, I37, I38, I39, I40, I41) [I26 + 3 <= I21 /\ I25 + 3 <= I21 /\ 0 <= I36 - 1 /\ 0 <= I35 - 1 /\ 3 <= I34 - 1 /\ 0 <= I23 - 1 /\ 0 <= I22 - 1 /\ 3 <= I21 - 1 /\ I36 <= I23 /\ I36 <= I22 /\ I36 + 3 <= I21 /\ I35 <= I23 /\ I35 <= I22 /\ I35 + 3 <= I21 /\ I34 <= I21 /\ I24 <= I28 - 1 /\ -1 <= I28 - 1]
92.33/91.68	  f8(I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f8(I55, I56, I44, I57, I58, I59, I60, I49, I50, I51, I61, I62, I54) [I53 + 2 <= I46 /\ I62 + 4 <= I46 /\ I61 + 4 <= I46 /\ I52 + 2 <= I46 /\ I62 + 2 <= I45 /\ I61 + 2 <= I45 /\ I50 + 3 <= I42 /\ I49 + 3 <= I42 /\ 0 <= I59 - 1 /\ 0 <= I58 - 1 /\ -1 <= I57 - 1 /\ 0 <= I56 - 1 /\ 3 <= I55 - 1 /\ 0 <= I47 - 1 /\ 2 <= I46 - 1 /\ 0 <= I45 - 1 /\ 0 <= I43 - 1 /\ 3 <= I42 - 1 /\ I59 <= I47 /\ I59 + 2 <= I46 /\ I59 <= I45 /\ I59 <= I43 /\ I59 + 3 <= I42 /\ I58 + 2 <= I46 /\ I58 <= I45 /\ I57 + 3 <= I46 /\ I57 + 1 <= I45 /\ I56 <= I47 /\ I56 + 2 <= I46 /\ I56 <= I45 /\ I56 <= I43 /\ I56 + 3 <= I42 /\ I55 <= I42 /\ 0 <= I54 - 1 /\ I48 <= I54 - 1]
92.33/91.68	  f7(I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f8(I76, I77, I66, I78, I79, I80, I81, I67, I68, I70, I82, I83, I69) [I68 + 3 <= I63 /\ I67 + 3 <= I63 /\ 0 <= I80 - 1 /\ 0 <= I79 - 1 /\ -1 <= I78 - 1 /\ 0 <= I77 - 1 /\ 3 <= I76 - 1 /\ 0 <= I65 - 1 /\ 0 <= I64 - 1 /\ 3 <= I63 - 1 /\ I80 <= I65 /\ I80 <= I64 /\ I80 + 3 <= I63 /\ I77 <= I65 /\ I77 <= I64 /\ I77 + 3 <= I63 /\ I76 <= I63 /\ I66 <= I70 - 1 /\ 0 <= I69 - 1]
92.33/91.68	  f5(I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96) -> f7(I97, I98, I99, 0, I91 + 1, I92, 2 * I90, I90, I100, I101, I102, I103, I104) [I92 + 3 <= I84 /\ I91 + 3 <= I84 /\ 0 <= I99 - 1 /\ 0 <= I98 - 1 /\ 3 <= I97 - 1 /\ -1 <= I87 - 1 /\ 3 <= I84 - 1 /\ I99 - 1 <= I87 /\ I99 + 3 <= I84 /\ I98 - 1 <= I87 /\ I98 + 3 <= I84 /\ I97 - 1 <= I84 /\ I92 <= I91 /\ 0 <= 2 * I90 /\ 1073741824 <= I90 - 1 /\ I86 <= I90 - 1]
92.33/91.68	  f5(I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117) -> f7(I118, I119, I120, 0, I112 + 1, I113, 2 * I111, I111, I121, I122, I123, I124, I125) [I113 + 3 <= I105 /\ I112 + 3 <= I105 /\ 0 <= I120 - 1 /\ 0 <= I119 - 1 /\ 3 <= I118 - 1 /\ -1 <= I108 - 1 /\ 3 <= I105 - 1 /\ I120 - 1 <= I108 /\ I120 + 3 <= I105 /\ I119 - 1 <= I108 /\ I119 + 3 <= I105 /\ I118 - 1 <= I105 /\ I111 <= 1073741823 /\ 0 <= 2 * I111 /\ I113 <= I112 /\ 1 <= I111 - 1 /\ I107 <= I111 - 1]
92.33/91.68	  f6(I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f5(I139, I133, I127, I140, I141, I142, I130, I131, I132, I143, I144, I145, I146) [0 = I129 /\ I135 + 4 <= I128 /\ I133 + 2 <= I128 /\ I132 + 3 <= I126 /\ I131 + 3 <= I126 /\ -1 <= I140 - 1 /\ 3 <= I139 - 1 /\ -1 <= I134 - 1 /\ 2 <= I128 - 1 /\ 3 <= I126 - 1 /\ I140 <= I134 /\ I140 + 2 <= I128 /\ I139 <= I126]
92.33/91.68	  f5(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) -> f5(I160, I148, I149, I161, I151, I152, I153, I154, I155, I162, I163, I164, I165) [I148 + 2 <= I150 /\ I155 + 3 <= I147 /\ I154 + 3 <= I147 /\ -1 <= I161 - 1 /\ 3 <= I160 - 1 /\ 2 <= I150 - 1 /\ 3 <= I147 - 1 /\ I161 + 2 <= I150 /\ 1 <= I153 - 1 /\ I160 <= I147]
92.33/91.68	  f5(I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178) -> f5(I179, I167, I168, I180, I170, I171, I172, I173, I174, I181, I182, I183, I184) [I167 + 2 <= I169 /\ I174 + 3 <= I166 /\ I173 + 3 <= I166 /\ -1 <= I180 - 1 /\ 3 <= I179 - 1 /\ 1 <= I169 - 1 /\ 3 <= I166 - 1 /\ I180 + 2 <= I169 /\ 1 <= I172 - 1 /\ I179 <= I166]
92.33/91.68	  f5(I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) -> f5(I198, I186, I187, I199, I189, I190, I191, I192, I193, I200, I201, I202, I203) [I198 <= I185 /\ I186 <= y1 - 1 /\ I199 + 1 <= I188 /\ 3 <= I185 - 1 /\ 0 <= I188 - 1 /\ 3 <= I198 - 1 /\ -1 <= I199 - 1 /\ I192 + 3 <= I185 /\ I193 + 3 <= I185]
92.33/91.68	  f5(I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216) -> f5(I217, I205, I206, I218, I208, I209, I210, I211, I212, I219, I220, I221, I222) [I217 <= I204 /\ I223 <= I205 - 1 /\ I218 + 1 <= I207 /\ 3 <= I204 - 1 /\ 0 <= I207 - 1 /\ 3 <= I217 - 1 /\ -1 <= I218 - 1 /\ I211 + 3 <= I204 /\ I212 + 3 <= I204]
92.33/91.68	  f5(I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236) -> f6(I237, I226, I238, 1, I230, I231, I232, I225, I239, I240, I241, I242, I243) [I240 + 4 <= I227 /\ I225 + 2 <= I227 /\ I232 + 3 <= I224 /\ I231 + 3 <= I224 /\ -1 <= I239 - 1 /\ 2 <= I238 - 1 /\ 3 <= I237 - 1 /\ 2 <= I227 - 1 /\ 3 <= I224 - 1 /\ I239 + 2 <= I227 /\ I238 <= I227 /\ 1 <= I230 - 1 /\ I237 <= I224]
92.33/91.68	  f5(I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256) -> f6(I257, I246, I258, 0, I250, I251, I252, I245, I259, I260, I261, I262, I263) [I260 + 4 <= I247 /\ I245 + 2 <= I247 /\ I252 + 3 <= I244 /\ I251 + 3 <= I244 /\ -1 <= I259 - 1 /\ 2 <= I258 - 1 /\ 3 <= I257 - 1 /\ 2 <= I247 - 1 /\ 3 <= I244 - 1 /\ I259 + 2 <= I247 /\ I258 <= I247 /\ 1 <= I250 - 1 /\ I257 <= I244]
92.33/91.68	  f4(I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276) -> f5(I277, I278, I279, I280, I266, I267 + 2, I268, I269, I270, I281, I282, I283, I284) [I267 + 1 <= I266 - 1 /\ 1 <= I268 - 1 /\ 0 <= I265 - 1 /\ -1 <= I266 - 1 /\ -1 <= I267 - 1 /\ -1 <= I285 - 1 /\ -1 <= y2 - 1 /\ I279 <= I268 - 1 /\ I277 <= I264 /\ 3 <= I264 - 1 /\ 3 <= I277 - 1 /\ -1 <= I280 - 1 /\ I270 + 3 <= I264 /\ I269 + 3 <= I264]
92.33/91.68	  f4(I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298) -> f4(I299, I287 - 1, I288, I289 + 2, I300, I301, I302, I303, I304, I305, I306, I307, I308) [0 <= I287 - 1 /\ I289 + 1 <= I288 - 1 /\ -1 <= I288 - 1 /\ -1 <= I289 - 1 /\ -1 <= I309 - 1 /\ -1 <= I310 - 1 /\ 1 <= I290 - 1 /\ 3 <= I286 - 1 /\ 3 <= I299 - 1 /\ I292 + 3 <= I286 /\ I291 + 3 <= I286]
92.33/91.68	  f1(I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323) -> f4(I324, I325, I312, 1, 16, 0, 12, I326, I327, I328, I329, I330, I331) [14 <= I324 - 1 /\ 0 <= I311 - 1 /\ I324 - 14 <= I311 /\ 0 <= I312 - 1 /\ -1 <= I325 - 1]
92.33/91.68	  f2(I332, I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344) -> f2(I345, I346, I334 + 1, I335, I336, I337, I347, I348, I349, I350, I351, I352, I353) [I336 + 3 <= I332 /\ I335 + 3 <= I332 /\ 0 <= I346 - 1 /\ 3 <= I345 - 1 /\ 0 <= I333 - 1 /\ 3 <= I332 - 1 /\ I346 <= I333 /\ I346 + 3 <= I332 /\ I345 <= I332 /\ I334 <= I337 - 1 /\ -1 <= I337 - 1]
92.33/91.68	  f3(I354, I355, I356, I357, I358, I359, I360, I361, I362, I363, I364, I365, I366) -> f2(I367, I368, 0, I356, 12, 16, I369, I370, I371, I372, I373, I374, I375) [12 = I357 /\ 16 = I355 /\ I356 + 3 <= I354 /\ 0 <= I368 - 1 /\ 14 <= I367 - 1 /\ 14 <= I354 - 1 /\ I368 + 14 <= I354 /\ I367 <= I354]
92.33/91.68	  f1(I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388) -> f2(I389, I390, 0, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400) [-1 <= I393 - 1 /\ 0 <= I377 - 1 /\ -1 <= I401 - 1 /\ I390 <= I376 /\ 0 <= I376 - 1 /\ 3 <= I389 - 1 /\ 0 <= I390 - 1]
92.33/91.68	
92.33/91.68	We use the basic value criterion with the projection function NU:
92.33/91.68	  NU[f4#(z1,z2,z3,z4,z5,z6,z7,z8,z9,z10,z11,z12,z13)] = z2
92.33/91.68	
92.33/91.68	This gives the following inequalities:
92.33/91.68	  0 <= I287 - 1 /\ I289 + 1 <= I288 - 1 /\ -1 <= I288 - 1 /\ -1 <= I289 - 1 /\ -1 <= I309 - 1 /\ -1 <= I310 - 1 /\ 1 <= I290 - 1 /\ 3 <= I286 - 1 /\ 3 <= I299 - 1 /\ I292 + 3 <= I286 /\ I291 + 3 <= I286  ==>  I287 >! I287 - 1
92.33/91.68	
92.33/91.68	All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed.
92.33/94.66	EOF