74.43/73.63	YES
74.43/73.63	
74.43/73.63	DP problem for innermost termination.
74.43/73.63	P =
74.43/73.63	  init#(x1, x2, x3, x4, x5, x6) -> f1#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
74.43/73.63	  f16#(I0, I1, I2, I3, I4, I5) -> f16#(I0, I1, I2, I3 + 1, I3 + 1, I5) [-1 <= y1 - 1 /\ I3 <= I5 - 1 /\ I2 <= y1 - 1 /\ -1 <= y2 - 1 /\ I3 <= y2 - 1 /\ 0 <= y3 - 1 /\ -1 <= y4 - 1 /\ I2 <= y4 - 1 /\ -1 <= y5 - 1 /\ I3 <= y5 - 1 /\ y6 <= 9 /\ I3 = I4]
74.43/73.63	  f16#(I6, I7, I8, I9, I10, I11) -> f16#(I6, I7, I8, I9 + 1, I9 + 1, I11) [-1 <= I12 - 1 /\ I9 <= I11 - 1 /\ I8 <= I12 - 1 /\ -1 <= I13 - 1 /\ I9 <= I13 - 1 /\ I14 <= -1 /\ -1 <= I15 - 1 /\ I8 <= I15 - 1 /\ -1 <= I16 - 1 /\ I9 <= I16 - 1 /\ I17 <= 9 /\ I9 = I10]
74.43/73.63	  f16#(I18, I19, I20, I21, I22, I23) -> f16#(I18, I19, I20, I21 + 1, I21 + 1, I23) [-1 <= I24 - 1 /\ I21 <= I23 - 1 /\ I20 <= I24 - 1 /\ -1 <= I25 - 1 /\ I21 <= I25 - 1 /\ I21 = I22]
74.43/73.63	  f16#(I26, I27, I28, I29, I30, I31) -> f15#(I26, I31, I28 + 1, I27, I32, I33) [I29 = I30 /\ I31 <= I29]
74.43/73.63	  f15#(I34, I35, I36, I37, I38, I39) -> f16#(I34, I37, I36, I34, I34, I35) [I36 <= I37 - 1]
74.43/73.63	  f13#(I40, I41, I42, I43, I44, I45) -> f13#(I40, I41, I42 + 1, I46, I47, I48) [-1 <= I49 - 1 /\ I42 <= 8 /\ I42 <= I49 - 1 /\ -1 <= I50 - 1 /\ I41 <= I50 - 1 /\ 0 <= I51 - 1 /\ -1 <= I52 - 1 /\ I42 <= I52 - 1 /\ -1 <= I53 - 1 /\ I41 <= I53 - 1 /\ I54 <= 9]
74.43/73.63	  f13#(I55, I56, I57, I58, I59, I60) -> f13#(I55, I56, I57 + 1, I61, I62, I63) [-1 <= I64 - 1 /\ I57 <= 8 /\ I57 <= I64 - 1 /\ -1 <= I65 - 1 /\ I56 <= I65 - 1 /\ I66 <= -1 /\ -1 <= I67 - 1 /\ I57 <= I67 - 1 /\ -1 <= I68 - 1 /\ I56 <= I68 - 1 /\ I69 <= 9]
74.43/73.63	  f13#(I70, I71, I72, I73, I74, I75) -> f13#(I70, I71, I72 + 1, I76, I77, I78) [-1 <= I79 - 1 /\ I72 <= 8 /\ I72 <= I79 - 1 /\ -1 <= I80 - 1 /\ I71 <= I80 - 1]
74.43/73.63	  f14#(I81, I82, I83, I84, I85, I86) -> f15#(I87, I88, I89, I90, I91, I92) [0 <= I81 - 3 * I93 /\ 8 <= I83 - 1 /\ -1 <= I81 - 1 /\ -1 <= I82 - 1 /\ 0 <= I82 - 3 * I94 /\ I81 - 3 * I93 <= 2 /\ I82 - 3 * I94 <= 2 /\ 0 <= I82 - 3 * I95 /\ I82 - 3 * I95 <= 2 /\ 0 <= I82 - 3 * I96 /\ I82 - 3 * I96 <= 2 /\ 0 <= I81 - 3 * I97 /\ I81 - 3 * I97 <= 2 /\ I81 - 3 * I98 <= 2 /\ 0 <= I81 - 3 * I98 /\ I82 - (I82 - 3 * I95) = I87 /\ I82 - (I82 - 3 * I96) + 3 = I88 /\ I81 - (I81 - 3 * I97) = I89 /\ I81 - (I81 - 3 * I98) + 3 = I90]
74.43/73.63	  f13#(I99, I100, I101, I102, I103, I104) -> f14#(I99, I100, I101, I105, I106, I107) [0 <= I99 - 3 * I108 /\ 8 <= I101 - 1 /\ -1 <= I99 - 1 /\ 0 <= I100 - 3 * I109 /\ -1 <= I100 - 1]
74.43/73.63	  f12#(I110, I111, I112, I113, I114, I115) -> f13#(I110, I111, 0, I116, I117, I118) [8 <= I112 - 1]
74.43/73.63	  f12#(I119, I120, I121, I122, I123, I124) -> f12#(I119, I120, I121 + 1, I125, I126, I127) [-1 <= I128 - 1 /\ I121 <= 8 /\ I119 <= I128 - 1 /\ -1 <= I129 - 1 /\ I121 <= I129 - 1 /\ 0 <= I130 - 1 /\ -1 <= I131 - 1 /\ I119 <= I131 - 1 /\ -1 <= I132 - 1 /\ I121 <= I132 - 1 /\ I133 <= 9]
74.43/73.63	  f12#(I134, I135, I136, I137, I138, I139) -> f12#(I134, I135, I136 + 1, I140, I141, I142) [-1 <= I143 - 1 /\ I136 <= 8 /\ I134 <= I143 - 1 /\ -1 <= I144 - 1 /\ I136 <= I144 - 1 /\ I145 <= -1 /\ -1 <= I146 - 1 /\ I134 <= I146 - 1 /\ -1 <= I147 - 1 /\ I136 <= I147 - 1 /\ I148 <= 9]
74.43/73.63	  f12#(I149, I150, I151, I152, I153, I154) -> f12#(I149, I150, I151 + 1, I155, I156, I157) [-1 <= I158 - 1 /\ I151 <= 8 /\ I149 <= I158 - 1 /\ -1 <= I159 - 1 /\ I151 <= I159 - 1]
74.43/73.63	  f11#(I160, I161, I162, I163, I164, I165) -> f12#(I160, I161, 0, I166, I167, I168) [8 <= I162 - 1]
74.43/73.63	  f11#(I169, I170, I171, I172, I173, I174) -> f11#(I169, I170, I171 + 1, I175, I176, I177) [I171 <= 8]
74.43/73.63	  f8#(I178, I179, I180, I181, I182, I183) -> f11#(I179, I180, 0, I184, I185, I186) [-1 <= I187 - 1 /\ I180 <= 8 /\ I179 <= I187 - 1 /\ -1 <= I188 - 1 /\ I180 <= I188 - 1 /\ 0 <= I178 - 1]
74.43/73.63	  f7#(I189, I190, I191, I192, I193, I194) -> f11#(I191, I190, 0, I195, I196, I197) [8 <= I191 - 1 /\ 0 <= I189 - 1]
74.43/73.63	  f10#(I198, I199, I200, I201, I202, I203) -> f10#(I198, I199, I200, I201 + 1, I204, I205) [0 <= I206 - 1 /\ I201 <= 8 /\ -1 <= I207 - 1 /\ I199 <= I207 - 1 /\ -1 <= I201 - 1 /\ -1 <= I208 - 1 /\ I200 <= I208 - 1 /\ 0 <= I198 - 1 /\ I198 - 1 <= I198 - 1 /\ -1 <= I209 - 1 /\ I199 <= I209 - 1 /\ -1 <= I210 - 1 /\ I200 <= I210 - 1]
74.43/73.63	  f10#(I211, I212, I213, I214, I215, I216) -> f10#(I211, I212, I213, I214 + 1, I217, I218) [I219 <= -1 /\ I214 <= 8 /\ -1 <= I220 - 1 /\ I212 <= I220 - 1 /\ -1 <= I214 - 1 /\ -1 <= I221 - 1 /\ I213 <= I221 - 1 /\ 0 <= I211 - 1 /\ I211 - 1 <= I211 - 1 /\ -1 <= I222 - 1 /\ I212 <= I222 - 1 /\ -1 <= I223 - 1 /\ I213 <= I223 - 1]
74.43/73.63	  f9#(I224, I225, I226, I227, I228, I229) -> f9#(I224, I225, I226, I227 + 1, I230, I231) [0 <= I232 - 1 /\ I227 <= 8 /\ -1 <= I233 - 1 /\ I225 <= I233 - 1 /\ -1 <= I227 - 1 /\ -1 <= I234 - 1 /\ I226 <= I234 - 1 /\ 1 <= I225 - 1 /\ 0 <= I224 - 1 /\ I224 - 1 <= I224 - 1 /\ -1 <= I235 - 1 /\ I225 <= I235 - 1 /\ -1 <= I236 - 1 /\ I226 <= I236 - 1]
74.43/73.63	  f9#(I237, I238, I239, I240, I241, I242) -> f9#(I237, I238, I239, I240 + 1, I243, I244) [I245 <= -1 /\ I240 <= 8 /\ -1 <= I246 - 1 /\ I238 <= I246 - 1 /\ -1 <= I240 - 1 /\ -1 <= I247 - 1 /\ I239 <= I247 - 1 /\ 1 <= I238 - 1 /\ 0 <= I237 - 1 /\ I237 - 1 <= I237 - 1 /\ -1 <= I248 - 1 /\ I238 <= I248 - 1 /\ -1 <= I249 - 1 /\ I239 <= I249 - 1]
74.43/73.63	  f10#(I250, I251, I252, I253, I254, I255) -> f5#(I250 - 1, I256, I257, I258, I259, I260) [0 <= I261 - 1 /\ I253 <= 8 /\ -1 <= I262 - 1 /\ I251 <= I262 - 1 /\ -1 <= I253 - 1 /\ -1 <= I263 - 1 /\ I252 <= I263 - 1 /\ I250 - 1 <= I250 - 1 /\ 0 <= I250 - 1]
74.43/73.63	  f10#(I264, I265, I266, I267, I268, I269) -> f5#(I264 - 1, I270, I271, I272, I273, I274) [I275 <= -1 /\ I267 <= 8 /\ -1 <= I276 - 1 /\ I265 <= I276 - 1 /\ -1 <= I267 - 1 /\ -1 <= I277 - 1 /\ I266 <= I277 - 1 /\ I264 - 1 <= I264 - 1 /\ 0 <= I264 - 1]
74.43/73.63	  f9#(I278, I279, I280, I281, I282, I283) -> f5#(I278 - 1, I284, I285, I286, I287, I288) [0 <= I289 - 1 /\ I281 <= 8 /\ -1 <= I290 - 1 /\ I279 <= I290 - 1 /\ -1 <= I281 - 1 /\ -1 <= I291 - 1 /\ I280 <= I291 - 1 /\ 1 <= I279 - 1 /\ I278 - 1 <= I278 - 1 /\ 0 <= I278 - 1]
74.43/73.63	  f9#(I292, I293, I294, I295, I296, I297) -> f5#(I292 - 1, I298, I299, I300, I301, I302) [I303 <= -1 /\ I295 <= 8 /\ -1 <= I304 - 1 /\ I293 <= I304 - 1 /\ -1 <= I295 - 1 /\ -1 <= I305 - 1 /\ I294 <= I305 - 1 /\ 1 <= I293 - 1 /\ I292 - 1 <= I292 - 1 /\ 0 <= I292 - 1]
74.43/73.63	  f10#(I306, I307, I308, I309, I310, I311) -> f10#(I306, I307, I308, I309 + 1, I312, I313) [I309 <= 8]
74.43/73.63	  f9#(I314, I315, I316, I317, I318, I319) -> f9#(I314, I315, I316, I317 + 1, I320, I321) [I317 <= 8]
74.43/73.63	  f8#(I322, I323, I324, I325, I326, I327) -> f10#(I322, I323, I324, 0, I328, I329) [-1 <= I330 - 1 /\ I324 <= 8 /\ I323 <= I330 - 1 /\ -1 <= I331 - 1 /\ I324 <= I331 - 1 /\ 0 <= I322 - 1]
74.43/73.63	  f7#(I332, I333, I334, I335, I336, I337) -> f9#(I332, I334, I333, 0, I338, I339) [8 <= I334 - 1 /\ 0 <= I332 - 1]
74.43/73.63	  f8#(I340, I341, I342, I343, I344, I345) -> f8#(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.63	  f8#(I352, I353, I354, I355, I356, I357) -> f8#(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.63	  f8#(I364, I365, I366, I367, I368, I369) -> f7#(I364, I366, I365 + 1, I370, I371, I372) [8 <= I366 - 1]
74.43/73.63	  f7#(I373, I374, I375, I376, I377, I378) -> f8#(I373, I375, 0, I379, I380, I381) [I375 <= 8]
74.43/73.63	  f5#(I382, I383, I384, I385, I386, I387) -> f7#(I382, 0, 0, I388, I389, I390) [0 <= I382 - 1]
74.43/73.63	  f6#(I391, I392, I393, I394, I395, I396) -> f6#(I397, I392 + 1, I393, I394 + 1, I395, I398) [I393 <= 8 /\ I394 <= 8 /\ I394 <= I399 - 1 /\ -1 <= I399 - 1 /\ I397 <= I391 /\ 0 <= I391 - 1 /\ 0 <= I397 - 1]
74.43/73.63	  f6#(I400, I401, I402, I403, I404, I405) -> f6#(I406, I401, I402, I403 + 1, I404, I407) [I402 <= 8 /\ I403 <= 8 /\ -1 <= I408 - 1 /\ 0 <= I409 - 1 /\ I403 <= I408 - 1 /\ I406 <= I400 /\ 0 <= I400 - 1 /\ 0 <= I406 - 1]
74.43/73.63	  f6#(I410, I411, I412, I413, I414, I415) -> f6#(I416, I411, I412, I413 + 1, I414, I417) [I412 <= 8 /\ I413 <= 8 /\ -1 <= I418 - 1 /\ I419 <= -1 /\ I413 <= I418 - 1 /\ I416 <= I410 /\ 0 <= I410 - 1 /\ 0 <= I416 - 1]
74.43/73.63	  f6#(I420, I421, I422, I423, I424, I425) -> f4#(I426, I421, I422 + 1, I422 + 1, I424, I427) [0 <= I426 - 1 /\ 0 <= I420 - 1 /\ 8 <= I423 - 1 /\ I426 <= I420]
74.43/73.63	  f4#(I428, I429, I430, I431, I432, I433) -> f6#(I434, I429, I430, 0, I432, I435) [I430 = I431 /\ 0 <= I434 - 1 /\ 0 <= I428 - 1 /\ I430 <= 8 /\ I434 <= I428]
74.43/73.63	  f4#(I436, I437, I438, I439, I440, I441) -> f5#(I437, I442, I443, I444, I445, I446) [I438 = I439 /\ 0 <= I436 - 1 /\ 1 <= I440 - 1 /\ 8 <= I438 - 1]
74.43/73.63	  f2#(I447, I448, I449, I450, I451, I452) -> f4#(I453, 0, 0, 0, I449, I454) [0 <= I453 - 1 /\ 0 <= I447 - 1 /\ 8 <= I448 - 1 /\ I453 <= I447]
74.43/73.63	  f3#(I455, I456, I457, I458, I459, I460) -> f3#(I461, I456, I457 + 1, I458, I462, I463) [I456 <= 8 /\ I457 <= 8 /\ -1 <= I464 - 1 /\ I457 <= I464 - 1 /\ I457 <= I465 - 1 /\ -1 <= I465 - 1 /\ I461 <= I455 /\ 0 <= I455 - 1 /\ 0 <= I461 - 1]
74.43/73.63	  f3#(I466, I467, I468, I469, I470, I471) -> f2#(I472, I467 + 1, I469, I473, I474, I475) [0 <= I472 - 1 /\ 0 <= I466 - 1 /\ 8 <= I468 - 1 /\ I472 <= I466]
74.43/73.63	  f2#(I476, I477, I478, I479, I480, I481) -> f3#(I482, I477, 0, I478, I483, I484) [0 <= I482 - 1 /\ 0 <= I476 - 1 /\ I477 <= 8 /\ I482 <= I476]
74.43/73.63	  f1#(I485, I486, I487, I488, I489, I490) -> f2#(I491, 0, I486, I492, I493, I494) [0 <= I491 - 1 /\ 0 <= I485 - 1 /\ 1 <= I486 - 1 /\ I491 <= I485]
74.43/73.63	R = 
74.43/73.63	  init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
74.43/73.63	  f16(I0, I1, I2, I3, I4, I5) -> f16(I0, I1, I2, I3 + 1, I3 + 1, I5) [-1 <= y1 - 1 /\ I3 <= I5 - 1 /\ I2 <= y1 - 1 /\ -1 <= y2 - 1 /\ I3 <= y2 - 1 /\ 0 <= y3 - 1 /\ -1 <= y4 - 1 /\ I2 <= y4 - 1 /\ -1 <= y5 - 1 /\ I3 <= y5 - 1 /\ y6 <= 9 /\ I3 = I4]
74.43/73.63	  f16(I6, I7, I8, I9, I10, I11) -> f16(I6, I7, I8, I9 + 1, I9 + 1, I11) [-1 <= I12 - 1 /\ I9 <= I11 - 1 /\ I8 <= I12 - 1 /\ -1 <= I13 - 1 /\ I9 <= I13 - 1 /\ I14 <= -1 /\ -1 <= I15 - 1 /\ I8 <= I15 - 1 /\ -1 <= I16 - 1 /\ I9 <= I16 - 1 /\ I17 <= 9 /\ I9 = I10]
74.43/73.63	  f16(I18, I19, I20, I21, I22, I23) -> f16(I18, I19, I20, I21 + 1, I21 + 1, I23) [-1 <= I24 - 1 /\ I21 <= I23 - 1 /\ I20 <= I24 - 1 /\ -1 <= I25 - 1 /\ I21 <= I25 - 1 /\ I21 = I22]
74.43/73.63	  f16(I26, I27, I28, I29, I30, I31) -> f15(I26, I31, I28 + 1, I27, I32, I33) [I29 = I30 /\ I31 <= I29]
74.43/73.63	  f15(I34, I35, I36, I37, I38, I39) -> f16(I34, I37, I36, I34, I34, I35) [I36 <= I37 - 1]
74.43/73.63	  f13(I40, I41, I42, I43, I44, I45) -> f13(I40, I41, I42 + 1, I46, I47, I48) [-1 <= I49 - 1 /\ I42 <= 8 /\ I42 <= I49 - 1 /\ -1 <= I50 - 1 /\ I41 <= I50 - 1 /\ 0 <= I51 - 1 /\ -1 <= I52 - 1 /\ I42 <= I52 - 1 /\ -1 <= I53 - 1 /\ I41 <= I53 - 1 /\ I54 <= 9]
74.43/73.63	  f13(I55, I56, I57, I58, I59, I60) -> f13(I55, I56, I57 + 1, I61, I62, I63) [-1 <= I64 - 1 /\ I57 <= 8 /\ I57 <= I64 - 1 /\ -1 <= I65 - 1 /\ I56 <= I65 - 1 /\ I66 <= -1 /\ -1 <= I67 - 1 /\ I57 <= I67 - 1 /\ -1 <= I68 - 1 /\ I56 <= I68 - 1 /\ I69 <= 9]
74.43/73.63	  f13(I70, I71, I72, I73, I74, I75) -> f13(I70, I71, I72 + 1, I76, I77, I78) [-1 <= I79 - 1 /\ I72 <= 8 /\ I72 <= I79 - 1 /\ -1 <= I80 - 1 /\ I71 <= I80 - 1]
74.43/73.63	  f14(I81, I82, I83, I84, I85, I86) -> f15(I87, I88, I89, I90, I91, I92) [0 <= I81 - 3 * I93 /\ 8 <= I83 - 1 /\ -1 <= I81 - 1 /\ -1 <= I82 - 1 /\ 0 <= I82 - 3 * I94 /\ I81 - 3 * I93 <= 2 /\ I82 - 3 * I94 <= 2 /\ 0 <= I82 - 3 * I95 /\ I82 - 3 * I95 <= 2 /\ 0 <= I82 - 3 * I96 /\ I82 - 3 * I96 <= 2 /\ 0 <= I81 - 3 * I97 /\ I81 - 3 * I97 <= 2 /\ I81 - 3 * I98 <= 2 /\ 0 <= I81 - 3 * I98 /\ I82 - (I82 - 3 * I95) = I87 /\ I82 - (I82 - 3 * I96) + 3 = I88 /\ I81 - (I81 - 3 * I97) = I89 /\ I81 - (I81 - 3 * I98) + 3 = I90]
74.43/73.63	  f13(I99, I100, I101, I102, I103, I104) -> f14(I99, I100, I101, I105, I106, I107) [0 <= I99 - 3 * I108 /\ 8 <= I101 - 1 /\ -1 <= I99 - 1 /\ 0 <= I100 - 3 * I109 /\ -1 <= I100 - 1]
74.43/73.63	  f12(I110, I111, I112, I113, I114, I115) -> f13(I110, I111, 0, I116, I117, I118) [8 <= I112 - 1]
74.43/73.63	  f12(I119, I120, I121, I122, I123, I124) -> f12(I119, I120, I121 + 1, I125, I126, I127) [-1 <= I128 - 1 /\ I121 <= 8 /\ I119 <= I128 - 1 /\ -1 <= I129 - 1 /\ I121 <= I129 - 1 /\ 0 <= I130 - 1 /\ -1 <= I131 - 1 /\ I119 <= I131 - 1 /\ -1 <= I132 - 1 /\ I121 <= I132 - 1 /\ I133 <= 9]
74.43/73.63	  f12(I134, I135, I136, I137, I138, I139) -> f12(I134, I135, I136 + 1, I140, I141, I142) [-1 <= I143 - 1 /\ I136 <= 8 /\ I134 <= I143 - 1 /\ -1 <= I144 - 1 /\ I136 <= I144 - 1 /\ I145 <= -1 /\ -1 <= I146 - 1 /\ I134 <= I146 - 1 /\ -1 <= I147 - 1 /\ I136 <= I147 - 1 /\ I148 <= 9]
74.43/73.63	  f12(I149, I150, I151, I152, I153, I154) -> f12(I149, I150, I151 + 1, I155, I156, I157) [-1 <= I158 - 1 /\ I151 <= 8 /\ I149 <= I158 - 1 /\ -1 <= I159 - 1 /\ I151 <= I159 - 1]
74.43/73.63	  f11(I160, I161, I162, I163, I164, I165) -> f12(I160, I161, 0, I166, I167, I168) [8 <= I162 - 1]
74.43/73.63	  f11(I169, I170, I171, I172, I173, I174) -> f11(I169, I170, I171 + 1, I175, I176, I177) [I171 <= 8]
74.43/73.63	  f8(I178, I179, I180, I181, I182, I183) -> f11(I179, I180, 0, I184, I185, I186) [-1 <= I187 - 1 /\ I180 <= 8 /\ I179 <= I187 - 1 /\ -1 <= I188 - 1 /\ I180 <= I188 - 1 /\ 0 <= I178 - 1]
74.43/73.63	  f7(I189, I190, I191, I192, I193, I194) -> f11(I191, I190, 0, I195, I196, I197) [8 <= I191 - 1 /\ 0 <= I189 - 1]
74.43/73.63	  f10(I198, I199, I200, I201, I202, I203) -> f10(I198, I199, I200, I201 + 1, I204, I205) [0 <= I206 - 1 /\ I201 <= 8 /\ -1 <= I207 - 1 /\ I199 <= I207 - 1 /\ -1 <= I201 - 1 /\ -1 <= I208 - 1 /\ I200 <= I208 - 1 /\ 0 <= I198 - 1 /\ I198 - 1 <= I198 - 1 /\ -1 <= I209 - 1 /\ I199 <= I209 - 1 /\ -1 <= I210 - 1 /\ I200 <= I210 - 1]
74.43/73.63	  f10(I211, I212, I213, I214, I215, I216) -> f10(I211, I212, I213, I214 + 1, I217, I218) [I219 <= -1 /\ I214 <= 8 /\ -1 <= I220 - 1 /\ I212 <= I220 - 1 /\ -1 <= I214 - 1 /\ -1 <= I221 - 1 /\ I213 <= I221 - 1 /\ 0 <= I211 - 1 /\ I211 - 1 <= I211 - 1 /\ -1 <= I222 - 1 /\ I212 <= I222 - 1 /\ -1 <= I223 - 1 /\ I213 <= I223 - 1]
74.43/73.63	  f9(I224, I225, I226, I227, I228, I229) -> f9(I224, I225, I226, I227 + 1, I230, I231) [0 <= I232 - 1 /\ I227 <= 8 /\ -1 <= I233 - 1 /\ I225 <= I233 - 1 /\ -1 <= I227 - 1 /\ -1 <= I234 - 1 /\ I226 <= I234 - 1 /\ 1 <= I225 - 1 /\ 0 <= I224 - 1 /\ I224 - 1 <= I224 - 1 /\ -1 <= I235 - 1 /\ I225 <= I235 - 1 /\ -1 <= I236 - 1 /\ I226 <= I236 - 1]
74.43/73.63	  f9(I237, I238, I239, I240, I241, I242) -> f9(I237, I238, I239, I240 + 1, I243, I244) [I245 <= -1 /\ I240 <= 8 /\ -1 <= I246 - 1 /\ I238 <= I246 - 1 /\ -1 <= I240 - 1 /\ -1 <= I247 - 1 /\ I239 <= I247 - 1 /\ 1 <= I238 - 1 /\ 0 <= I237 - 1 /\ I237 - 1 <= I237 - 1 /\ -1 <= I248 - 1 /\ I238 <= I248 - 1 /\ -1 <= I249 - 1 /\ I239 <= I249 - 1]
74.43/73.63	  f10(I250, I251, I252, I253, I254, I255) -> f5(I250 - 1, I256, I257, I258, I259, I260) [0 <= I261 - 1 /\ I253 <= 8 /\ -1 <= I262 - 1 /\ I251 <= I262 - 1 /\ -1 <= I253 - 1 /\ -1 <= I263 - 1 /\ I252 <= I263 - 1 /\ I250 - 1 <= I250 - 1 /\ 0 <= I250 - 1]
74.43/73.63	  f10(I264, I265, I266, I267, I268, I269) -> f5(I264 - 1, I270, I271, I272, I273, I274) [I275 <= -1 /\ I267 <= 8 /\ -1 <= I276 - 1 /\ I265 <= I276 - 1 /\ -1 <= I267 - 1 /\ -1 <= I277 - 1 /\ I266 <= I277 - 1 /\ I264 - 1 <= I264 - 1 /\ 0 <= I264 - 1]
74.43/73.63	  f9(I278, I279, I280, I281, I282, I283) -> f5(I278 - 1, I284, I285, I286, I287, I288) [0 <= I289 - 1 /\ I281 <= 8 /\ -1 <= I290 - 1 /\ I279 <= I290 - 1 /\ -1 <= I281 - 1 /\ -1 <= I291 - 1 /\ I280 <= I291 - 1 /\ 1 <= I279 - 1 /\ I278 - 1 <= I278 - 1 /\ 0 <= I278 - 1]
74.43/73.63	  f9(I292, I293, I294, I295, I296, I297) -> f5(I292 - 1, I298, I299, I300, I301, I302) [I303 <= -1 /\ I295 <= 8 /\ -1 <= I304 - 1 /\ I293 <= I304 - 1 /\ -1 <= I295 - 1 /\ -1 <= I305 - 1 /\ I294 <= I305 - 1 /\ 1 <= I293 - 1 /\ I292 - 1 <= I292 - 1 /\ 0 <= I292 - 1]
74.43/73.63	  f10(I306, I307, I308, I309, I310, I311) -> f10(I306, I307, I308, I309 + 1, I312, I313) [I309 <= 8]
74.43/73.63	  f9(I314, I315, I316, I317, I318, I319) -> f9(I314, I315, I316, I317 + 1, I320, I321) [I317 <= 8]
74.43/73.63	  f8(I322, I323, I324, I325, I326, I327) -> f10(I322, I323, I324, 0, I328, I329) [-1 <= I330 - 1 /\ I324 <= 8 /\ I323 <= I330 - 1 /\ -1 <= I331 - 1 /\ I324 <= I331 - 1 /\ 0 <= I322 - 1]
74.43/73.63	  f7(I332, I333, I334, I335, I336, I337) -> f9(I332, I334, I333, 0, I338, I339) [8 <= I334 - 1 /\ 0 <= I332 - 1]
74.43/73.63	  f8(I340, I341, I342, I343, I344, I345) -> f8(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.63	  f8(I352, I353, I354, I355, I356, I357) -> f8(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.63	  f8(I364, I365, I366, I367, I368, I369) -> f7(I364, I366, I365 + 1, I370, I371, I372) [8 <= I366 - 1]
74.43/73.63	  f7(I373, I374, I375, I376, I377, I378) -> f8(I373, I375, 0, I379, I380, I381) [I375 <= 8]
74.43/73.63	  f5(I382, I383, I384, I385, I386, I387) -> f7(I382, 0, 0, I388, I389, I390) [0 <= I382 - 1]
74.43/73.63	  f6(I391, I392, I393, I394, I395, I396) -> f6(I397, I392 + 1, I393, I394 + 1, I395, I398) [I393 <= 8 /\ I394 <= 8 /\ I394 <= I399 - 1 /\ -1 <= I399 - 1 /\ I397 <= I391 /\ 0 <= I391 - 1 /\ 0 <= I397 - 1]
74.43/73.63	  f6(I400, I401, I402, I403, I404, I405) -> f6(I406, I401, I402, I403 + 1, I404, I407) [I402 <= 8 /\ I403 <= 8 /\ -1 <= I408 - 1 /\ 0 <= I409 - 1 /\ I403 <= I408 - 1 /\ I406 <= I400 /\ 0 <= I400 - 1 /\ 0 <= I406 - 1]
74.43/73.63	  f6(I410, I411, I412, I413, I414, I415) -> f6(I416, I411, I412, I413 + 1, I414, I417) [I412 <= 8 /\ I413 <= 8 /\ -1 <= I418 - 1 /\ I419 <= -1 /\ I413 <= I418 - 1 /\ I416 <= I410 /\ 0 <= I410 - 1 /\ 0 <= I416 - 1]
74.43/73.63	  f6(I420, I421, I422, I423, I424, I425) -> f4(I426, I421, I422 + 1, I422 + 1, I424, I427) [0 <= I426 - 1 /\ 0 <= I420 - 1 /\ 8 <= I423 - 1 /\ I426 <= I420]
74.43/73.63	  f4(I428, I429, I430, I431, I432, I433) -> f6(I434, I429, I430, 0, I432, I435) [I430 = I431 /\ 0 <= I434 - 1 /\ 0 <= I428 - 1 /\ I430 <= 8 /\ I434 <= I428]
74.43/73.63	  f4(I436, I437, I438, I439, I440, I441) -> f5(I437, I442, I443, I444, I445, I446) [I438 = I439 /\ 0 <= I436 - 1 /\ 1 <= I440 - 1 /\ 8 <= I438 - 1]
74.43/73.63	  f2(I447, I448, I449, I450, I451, I452) -> f4(I453, 0, 0, 0, I449, I454) [0 <= I453 - 1 /\ 0 <= I447 - 1 /\ 8 <= I448 - 1 /\ I453 <= I447]
74.43/73.63	  f3(I455, I456, I457, I458, I459, I460) -> f3(I461, I456, I457 + 1, I458, I462, I463) [I456 <= 8 /\ I457 <= 8 /\ -1 <= I464 - 1 /\ I457 <= I464 - 1 /\ I457 <= I465 - 1 /\ -1 <= I465 - 1 /\ I461 <= I455 /\ 0 <= I455 - 1 /\ 0 <= I461 - 1]
74.43/73.63	  f3(I466, I467, I468, I469, I470, I471) -> f2(I472, I467 + 1, I469, I473, I474, I475) [0 <= I472 - 1 /\ 0 <= I466 - 1 /\ 8 <= I468 - 1 /\ I472 <= I466]
74.43/73.63	  f2(I476, I477, I478, I479, I480, I481) -> f3(I482, I477, 0, I478, I483, I484) [0 <= I482 - 1 /\ 0 <= I476 - 1 /\ I477 <= 8 /\ I482 <= I476]
74.43/73.63	  f1(I485, I486, I487, I488, I489, I490) -> f2(I491, 0, I486, I492, I493, I494) [0 <= I491 - 1 /\ 0 <= I485 - 1 /\ 1 <= I486 - 1 /\ I491 <= I485]
74.43/73.63	
74.43/73.63	The dependency graph for this problem is:
74.43/73.63	  0 -> 46
74.43/73.63	  1 -> 1, 2, 3, 4
74.43/73.63	  2 -> 1, 2, 3, 4
74.43/73.63	  3 -> 1, 2, 3, 4
74.43/73.63	  4 -> 5
74.43/73.63	  5 -> 1, 2, 3, 4
74.43/73.63	  6 -> 6, 7, 8, 10
74.43/73.63	  7 -> 6, 7, 8, 10
74.43/73.63	  8 -> 6, 7, 8, 10
74.43/73.63	  9 -> 5
74.43/73.63	  10 -> 9
74.43/73.63	  11 -> 6, 7, 8
74.43/73.63	  12 -> 11, 12, 13, 14
74.43/73.63	  13 -> 11, 12, 13, 14
74.43/73.63	  14 -> 11, 12, 13, 14
74.43/73.63	  15 -> 12, 13, 14
74.43/73.63	  16 -> 15, 16
74.43/73.63	  17 -> 16
74.43/73.63	  18 -> 16
74.43/73.63	  19 -> 19, 20, 23, 24, 27
74.43/73.63	  20 -> 19, 20, 23, 24, 27
74.43/73.63	  21 -> 21, 22, 25, 26, 28
74.43/73.63	  22 -> 21, 22, 25, 26, 28
74.43/73.63	  23 -> 35
74.43/73.63	  24 -> 35
74.43/73.63	  25 -> 35
74.43/73.63	  26 -> 35
74.43/73.63	  27 -> 19, 20, 23, 24, 27
74.43/73.63	  28 -> 21, 22, 25, 26, 28
74.43/73.63	  29 -> 19, 20, 23, 24, 27
74.43/73.63	  30 -> 21, 22, 25, 26, 28
74.43/73.63	  31 -> 17, 29, 31, 32, 33
74.43/73.63	  32 -> 17, 29, 31, 32, 33
74.43/73.63	  33 -> 18, 30, 34
74.43/73.63	  34 -> 17, 29, 31, 32
74.43/73.63	  35 -> 34
74.43/73.63	  36 -> 36, 37, 38, 39
74.43/73.63	  37 -> 36, 37, 38, 39
74.43/73.63	  38 -> 36, 37, 38, 39
74.43/73.63	  39 -> 40, 41
74.43/73.63	  40 -> 36, 37, 38
74.43/73.63	  41 -> 35
74.43/73.63	  42 -> 40
74.43/73.63	  43 -> 43, 44
74.43/73.63	  44 -> 42, 45
74.43/73.63	  45 -> 43
74.43/73.63	  46 -> 45
74.43/73.63	Where:
74.43/73.63	  0) init#(x1, x2, x3, x4, x5, x6) -> f1#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
74.43/73.63	  1) f16#(I0, I1, I2, I3, I4, I5) -> f16#(I0, I1, I2, I3 + 1, I3 + 1, I5) [-1 <= y1 - 1 /\ I3 <= I5 - 1 /\ I2 <= y1 - 1 /\ -1 <= y2 - 1 /\ I3 <= y2 - 1 /\ 0 <= y3 - 1 /\ -1 <= y4 - 1 /\ I2 <= y4 - 1 /\ -1 <= y5 - 1 /\ I3 <= y5 - 1 /\ y6 <= 9 /\ I3 = I4]
74.43/73.63	  2) f16#(I6, I7, I8, I9, I10, I11) -> f16#(I6, I7, I8, I9 + 1, I9 + 1, I11) [-1 <= I12 - 1 /\ I9 <= I11 - 1 /\ I8 <= I12 - 1 /\ -1 <= I13 - 1 /\ I9 <= I13 - 1 /\ I14 <= -1 /\ -1 <= I15 - 1 /\ I8 <= I15 - 1 /\ -1 <= I16 - 1 /\ I9 <= I16 - 1 /\ I17 <= 9 /\ I9 = I10]
74.43/73.63	  3) f16#(I18, I19, I20, I21, I22, I23) -> f16#(I18, I19, I20, I21 + 1, I21 + 1, I23) [-1 <= I24 - 1 /\ I21 <= I23 - 1 /\ I20 <= I24 - 1 /\ -1 <= I25 - 1 /\ I21 <= I25 - 1 /\ I21 = I22]
74.43/73.63	  4) f16#(I26, I27, I28, I29, I30, I31) -> f15#(I26, I31, I28 + 1, I27, I32, I33) [I29 = I30 /\ I31 <= I29]
74.43/73.63	  5) f15#(I34, I35, I36, I37, I38, I39) -> f16#(I34, I37, I36, I34, I34, I35) [I36 <= I37 - 1]
74.43/73.63	  6) f13#(I40, I41, I42, I43, I44, I45) -> f13#(I40, I41, I42 + 1, I46, I47, I48) [-1 <= I49 - 1 /\ I42 <= 8 /\ I42 <= I49 - 1 /\ -1 <= I50 - 1 /\ I41 <= I50 - 1 /\ 0 <= I51 - 1 /\ -1 <= I52 - 1 /\ I42 <= I52 - 1 /\ -1 <= I53 - 1 /\ I41 <= I53 - 1 /\ I54 <= 9]
74.43/73.63	  7) f13#(I55, I56, I57, I58, I59, I60) -> f13#(I55, I56, I57 + 1, I61, I62, I63) [-1 <= I64 - 1 /\ I57 <= 8 /\ I57 <= I64 - 1 /\ -1 <= I65 - 1 /\ I56 <= I65 - 1 /\ I66 <= -1 /\ -1 <= I67 - 1 /\ I57 <= I67 - 1 /\ -1 <= I68 - 1 /\ I56 <= I68 - 1 /\ I69 <= 9]
74.43/73.63	  8) f13#(I70, I71, I72, I73, I74, I75) -> f13#(I70, I71, I72 + 1, I76, I77, I78) [-1 <= I79 - 1 /\ I72 <= 8 /\ I72 <= I79 - 1 /\ -1 <= I80 - 1 /\ I71 <= I80 - 1]
74.43/73.63	  9) f14#(I81, I82, I83, I84, I85, I86) -> f15#(I87, I88, I89, I90, I91, I92) [0 <= I81 - 3 * I93 /\ 8 <= I83 - 1 /\ -1 <= I81 - 1 /\ -1 <= I82 - 1 /\ 0 <= I82 - 3 * I94 /\ I81 - 3 * I93 <= 2 /\ I82 - 3 * I94 <= 2 /\ 0 <= I82 - 3 * I95 /\ I82 - 3 * I95 <= 2 /\ 0 <= I82 - 3 * I96 /\ I82 - 3 * I96 <= 2 /\ 0 <= I81 - 3 * I97 /\ I81 - 3 * I97 <= 2 /\ I81 - 3 * I98 <= 2 /\ 0 <= I81 - 3 * I98 /\ I82 - (I82 - 3 * I95) = I87 /\ I82 - (I82 - 3 * I96) + 3 = I88 /\ I81 - (I81 - 3 * I97) = I89 /\ I81 - (I81 - 3 * I98) + 3 = I90]
74.43/73.63	  10) f13#(I99, I100, I101, I102, I103, I104) -> f14#(I99, I100, I101, I105, I106, I107) [0 <= I99 - 3 * I108 /\ 8 <= I101 - 1 /\ -1 <= I99 - 1 /\ 0 <= I100 - 3 * I109 /\ -1 <= I100 - 1]
74.43/73.63	  11) f12#(I110, I111, I112, I113, I114, I115) -> f13#(I110, I111, 0, I116, I117, I118) [8 <= I112 - 1]
74.43/73.63	  12) f12#(I119, I120, I121, I122, I123, I124) -> f12#(I119, I120, I121 + 1, I125, I126, I127) [-1 <= I128 - 1 /\ I121 <= 8 /\ I119 <= I128 - 1 /\ -1 <= I129 - 1 /\ I121 <= I129 - 1 /\ 0 <= I130 - 1 /\ -1 <= I131 - 1 /\ I119 <= I131 - 1 /\ -1 <= I132 - 1 /\ I121 <= I132 - 1 /\ I133 <= 9]
74.43/73.63	  13) f12#(I134, I135, I136, I137, I138, I139) -> f12#(I134, I135, I136 + 1, I140, I141, I142) [-1 <= I143 - 1 /\ I136 <= 8 /\ I134 <= I143 - 1 /\ -1 <= I144 - 1 /\ I136 <= I144 - 1 /\ I145 <= -1 /\ -1 <= I146 - 1 /\ I134 <= I146 - 1 /\ -1 <= I147 - 1 /\ I136 <= I147 - 1 /\ I148 <= 9]
74.43/73.63	  14) f12#(I149, I150, I151, I152, I153, I154) -> f12#(I149, I150, I151 + 1, I155, I156, I157) [-1 <= I158 - 1 /\ I151 <= 8 /\ I149 <= I158 - 1 /\ -1 <= I159 - 1 /\ I151 <= I159 - 1]
74.43/73.63	  15) f11#(I160, I161, I162, I163, I164, I165) -> f12#(I160, I161, 0, I166, I167, I168) [8 <= I162 - 1]
74.43/73.63	  16) f11#(I169, I170, I171, I172, I173, I174) -> f11#(I169, I170, I171 + 1, I175, I176, I177) [I171 <= 8]
74.43/73.63	  17) f8#(I178, I179, I180, I181, I182, I183) -> f11#(I179, I180, 0, I184, I185, I186) [-1 <= I187 - 1 /\ I180 <= 8 /\ I179 <= I187 - 1 /\ -1 <= I188 - 1 /\ I180 <= I188 - 1 /\ 0 <= I178 - 1]
74.43/73.63	  18) f7#(I189, I190, I191, I192, I193, I194) -> f11#(I191, I190, 0, I195, I196, I197) [8 <= I191 - 1 /\ 0 <= I189 - 1]
74.43/73.63	  19) f10#(I198, I199, I200, I201, I202, I203) -> f10#(I198, I199, I200, I201 + 1, I204, I205) [0 <= I206 - 1 /\ I201 <= 8 /\ -1 <= I207 - 1 /\ I199 <= I207 - 1 /\ -1 <= I201 - 1 /\ -1 <= I208 - 1 /\ I200 <= I208 - 1 /\ 0 <= I198 - 1 /\ I198 - 1 <= I198 - 1 /\ -1 <= I209 - 1 /\ I199 <= I209 - 1 /\ -1 <= I210 - 1 /\ I200 <= I210 - 1]
74.43/73.63	  20) f10#(I211, I212, I213, I214, I215, I216) -> f10#(I211, I212, I213, I214 + 1, I217, I218) [I219 <= -1 /\ I214 <= 8 /\ -1 <= I220 - 1 /\ I212 <= I220 - 1 /\ -1 <= I214 - 1 /\ -1 <= I221 - 1 /\ I213 <= I221 - 1 /\ 0 <= I211 - 1 /\ I211 - 1 <= I211 - 1 /\ -1 <= I222 - 1 /\ I212 <= I222 - 1 /\ -1 <= I223 - 1 /\ I213 <= I223 - 1]
74.43/73.63	  21) f9#(I224, I225, I226, I227, I228, I229) -> f9#(I224, I225, I226, I227 + 1, I230, I231) [0 <= I232 - 1 /\ I227 <= 8 /\ -1 <= I233 - 1 /\ I225 <= I233 - 1 /\ -1 <= I227 - 1 /\ -1 <= I234 - 1 /\ I226 <= I234 - 1 /\ 1 <= I225 - 1 /\ 0 <= I224 - 1 /\ I224 - 1 <= I224 - 1 /\ -1 <= I235 - 1 /\ I225 <= I235 - 1 /\ -1 <= I236 - 1 /\ I226 <= I236 - 1]
74.43/73.63	  22) f9#(I237, I238, I239, I240, I241, I242) -> f9#(I237, I238, I239, I240 + 1, I243, I244) [I245 <= -1 /\ I240 <= 8 /\ -1 <= I246 - 1 /\ I238 <= I246 - 1 /\ -1 <= I240 - 1 /\ -1 <= I247 - 1 /\ I239 <= I247 - 1 /\ 1 <= I238 - 1 /\ 0 <= I237 - 1 /\ I237 - 1 <= I237 - 1 /\ -1 <= I248 - 1 /\ I238 <= I248 - 1 /\ -1 <= I249 - 1 /\ I239 <= I249 - 1]
74.43/73.63	  23) f10#(I250, I251, I252, I253, I254, I255) -> f5#(I250 - 1, I256, I257, I258, I259, I260) [0 <= I261 - 1 /\ I253 <= 8 /\ -1 <= I262 - 1 /\ I251 <= I262 - 1 /\ -1 <= I253 - 1 /\ -1 <= I263 - 1 /\ I252 <= I263 - 1 /\ I250 - 1 <= I250 - 1 /\ 0 <= I250 - 1]
74.43/73.63	  24) f10#(I264, I265, I266, I267, I268, I269) -> f5#(I264 - 1, I270, I271, I272, I273, I274) [I275 <= -1 /\ I267 <= 8 /\ -1 <= I276 - 1 /\ I265 <= I276 - 1 /\ -1 <= I267 - 1 /\ -1 <= I277 - 1 /\ I266 <= I277 - 1 /\ I264 - 1 <= I264 - 1 /\ 0 <= I264 - 1]
74.43/73.63	  25) f9#(I278, I279, I280, I281, I282, I283) -> f5#(I278 - 1, I284, I285, I286, I287, I288) [0 <= I289 - 1 /\ I281 <= 8 /\ -1 <= I290 - 1 /\ I279 <= I290 - 1 /\ -1 <= I281 - 1 /\ -1 <= I291 - 1 /\ I280 <= I291 - 1 /\ 1 <= I279 - 1 /\ I278 - 1 <= I278 - 1 /\ 0 <= I278 - 1]
74.43/73.63	  26) f9#(I292, I293, I294, I295, I296, I297) -> f5#(I292 - 1, I298, I299, I300, I301, I302) [I303 <= -1 /\ I295 <= 8 /\ -1 <= I304 - 1 /\ I293 <= I304 - 1 /\ -1 <= I295 - 1 /\ -1 <= I305 - 1 /\ I294 <= I305 - 1 /\ 1 <= I293 - 1 /\ I292 - 1 <= I292 - 1 /\ 0 <= I292 - 1]
74.43/73.63	  27) f10#(I306, I307, I308, I309, I310, I311) -> f10#(I306, I307, I308, I309 + 1, I312, I313) [I309 <= 8]
74.43/73.63	  28) f9#(I314, I315, I316, I317, I318, I319) -> f9#(I314, I315, I316, I317 + 1, I320, I321) [I317 <= 8]
74.43/73.63	  29) f8#(I322, I323, I324, I325, I326, I327) -> f10#(I322, I323, I324, 0, I328, I329) [-1 <= I330 - 1 /\ I324 <= 8 /\ I323 <= I330 - 1 /\ -1 <= I331 - 1 /\ I324 <= I331 - 1 /\ 0 <= I322 - 1]
74.43/73.63	  30) f7#(I332, I333, I334, I335, I336, I337) -> f9#(I332, I334, I333, 0, I338, I339) [8 <= I334 - 1 /\ 0 <= I332 - 1]
74.43/73.63	  31) f8#(I340, I341, I342, I343, I344, I345) -> f8#(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.63	  32) f8#(I352, I353, I354, I355, I356, I357) -> f8#(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.63	  33) f8#(I364, I365, I366, I367, I368, I369) -> f7#(I364, I366, I365 + 1, I370, I371, I372) [8 <= I366 - 1]
74.43/73.63	  34) f7#(I373, I374, I375, I376, I377, I378) -> f8#(I373, I375, 0, I379, I380, I381) [I375 <= 8]
74.43/73.63	  35) f5#(I382, I383, I384, I385, I386, I387) -> f7#(I382, 0, 0, I388, I389, I390) [0 <= I382 - 1]
74.43/73.63	  36) f6#(I391, I392, I393, I394, I395, I396) -> f6#(I397, I392 + 1, I393, I394 + 1, I395, I398) [I393 <= 8 /\ I394 <= 8 /\ I394 <= I399 - 1 /\ -1 <= I399 - 1 /\ I397 <= I391 /\ 0 <= I391 - 1 /\ 0 <= I397 - 1]
74.43/73.63	  37) f6#(I400, I401, I402, I403, I404, I405) -> f6#(I406, I401, I402, I403 + 1, I404, I407) [I402 <= 8 /\ I403 <= 8 /\ -1 <= I408 - 1 /\ 0 <= I409 - 1 /\ I403 <= I408 - 1 /\ I406 <= I400 /\ 0 <= I400 - 1 /\ 0 <= I406 - 1]
74.43/73.63	  38) f6#(I410, I411, I412, I413, I414, I415) -> f6#(I416, I411, I412, I413 + 1, I414, I417) [I412 <= 8 /\ I413 <= 8 /\ -1 <= I418 - 1 /\ I419 <= -1 /\ I413 <= I418 - 1 /\ I416 <= I410 /\ 0 <= I410 - 1 /\ 0 <= I416 - 1]
74.43/73.63	  39) f6#(I420, I421, I422, I423, I424, I425) -> f4#(I426, I421, I422 + 1, I422 + 1, I424, I427) [0 <= I426 - 1 /\ 0 <= I420 - 1 /\ 8 <= I423 - 1 /\ I426 <= I420]
74.43/73.63	  40) f4#(I428, I429, I430, I431, I432, I433) -> f6#(I434, I429, I430, 0, I432, I435) [I430 = I431 /\ 0 <= I434 - 1 /\ 0 <= I428 - 1 /\ I430 <= 8 /\ I434 <= I428]
74.43/73.63	  41) f4#(I436, I437, I438, I439, I440, I441) -> f5#(I437, I442, I443, I444, I445, I446) [I438 = I439 /\ 0 <= I436 - 1 /\ 1 <= I440 - 1 /\ 8 <= I438 - 1]
74.43/73.63	  42) f2#(I447, I448, I449, I450, I451, I452) -> f4#(I453, 0, 0, 0, I449, I454) [0 <= I453 - 1 /\ 0 <= I447 - 1 /\ 8 <= I448 - 1 /\ I453 <= I447]
74.43/73.63	  43) f3#(I455, I456, I457, I458, I459, I460) -> f3#(I461, I456, I457 + 1, I458, I462, I463) [I456 <= 8 /\ I457 <= 8 /\ -1 <= I464 - 1 /\ I457 <= I464 - 1 /\ I457 <= I465 - 1 /\ -1 <= I465 - 1 /\ I461 <= I455 /\ 0 <= I455 - 1 /\ 0 <= I461 - 1]
74.43/73.63	  44) f3#(I466, I467, I468, I469, I470, I471) -> f2#(I472, I467 + 1, I469, I473, I474, I475) [0 <= I472 - 1 /\ 0 <= I466 - 1 /\ 8 <= I468 - 1 /\ I472 <= I466]
74.43/73.63	  45) f2#(I476, I477, I478, I479, I480, I481) -> f3#(I482, I477, 0, I478, I483, I484) [0 <= I482 - 1 /\ 0 <= I476 - 1 /\ I477 <= 8 /\ I482 <= I476]
74.43/73.63	  46) f1#(I485, I486, I487, I488, I489, I490) -> f2#(I491, 0, I486, I492, I493, I494) [0 <= I491 - 1 /\ 0 <= I485 - 1 /\ 1 <= I486 - 1 /\ I491 <= I485]
74.43/73.63	
74.43/73.63	We have the following SCCs.
74.43/73.63	  { 43, 44, 45 }
74.43/73.63	  { 36, 37, 38, 39, 40 }
74.43/73.63	  { 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35 }
74.43/73.63	  { 16 }
74.43/73.63	  { 12, 13, 14 }
74.43/73.63	  { 6, 7, 8 }
74.43/73.63	  { 1, 2, 3, 4, 5 }
74.43/73.63	
74.43/73.63	DP problem for innermost termination.
74.43/73.63	P =
74.43/73.63	  f16#(I0, I1, I2, I3, I4, I5) -> f16#(I0, I1, I2, I3 + 1, I3 + 1, I5) [-1 <= y1 - 1 /\ I3 <= I5 - 1 /\ I2 <= y1 - 1 /\ -1 <= y2 - 1 /\ I3 <= y2 - 1 /\ 0 <= y3 - 1 /\ -1 <= y4 - 1 /\ I2 <= y4 - 1 /\ -1 <= y5 - 1 /\ I3 <= y5 - 1 /\ y6 <= 9 /\ I3 = I4]
74.43/73.63	  f16#(I6, I7, I8, I9, I10, I11) -> f16#(I6, I7, I8, I9 + 1, I9 + 1, I11) [-1 <= I12 - 1 /\ I9 <= I11 - 1 /\ I8 <= I12 - 1 /\ -1 <= I13 - 1 /\ I9 <= I13 - 1 /\ I14 <= -1 /\ -1 <= I15 - 1 /\ I8 <= I15 - 1 /\ -1 <= I16 - 1 /\ I9 <= I16 - 1 /\ I17 <= 9 /\ I9 = I10]
74.43/73.63	  f16#(I18, I19, I20, I21, I22, I23) -> f16#(I18, I19, I20, I21 + 1, I21 + 1, I23) [-1 <= I24 - 1 /\ I21 <= I23 - 1 /\ I20 <= I24 - 1 /\ -1 <= I25 - 1 /\ I21 <= I25 - 1 /\ I21 = I22]
74.43/73.63	  f16#(I26, I27, I28, I29, I30, I31) -> f15#(I26, I31, I28 + 1, I27, I32, I33) [I29 = I30 /\ I31 <= I29]
74.43/73.63	  f15#(I34, I35, I36, I37, I38, I39) -> f16#(I34, I37, I36, I34, I34, I35) [I36 <= I37 - 1]
74.43/73.63	R = 
74.43/73.63	  init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
74.43/73.63	  f16(I0, I1, I2, I3, I4, I5) -> f16(I0, I1, I2, I3 + 1, I3 + 1, I5) [-1 <= y1 - 1 /\ I3 <= I5 - 1 /\ I2 <= y1 - 1 /\ -1 <= y2 - 1 /\ I3 <= y2 - 1 /\ 0 <= y3 - 1 /\ -1 <= y4 - 1 /\ I2 <= y4 - 1 /\ -1 <= y5 - 1 /\ I3 <= y5 - 1 /\ y6 <= 9 /\ I3 = I4]
74.43/73.63	  f16(I6, I7, I8, I9, I10, I11) -> f16(I6, I7, I8, I9 + 1, I9 + 1, I11) [-1 <= I12 - 1 /\ I9 <= I11 - 1 /\ I8 <= I12 - 1 /\ -1 <= I13 - 1 /\ I9 <= I13 - 1 /\ I14 <= -1 /\ -1 <= I15 - 1 /\ I8 <= I15 - 1 /\ -1 <= I16 - 1 /\ I9 <= I16 - 1 /\ I17 <= 9 /\ I9 = I10]
74.43/73.63	  f16(I18, I19, I20, I21, I22, I23) -> f16(I18, I19, I20, I21 + 1, I21 + 1, I23) [-1 <= I24 - 1 /\ I21 <= I23 - 1 /\ I20 <= I24 - 1 /\ -1 <= I25 - 1 /\ I21 <= I25 - 1 /\ I21 = I22]
74.43/73.63	  f16(I26, I27, I28, I29, I30, I31) -> f15(I26, I31, I28 + 1, I27, I32, I33) [I29 = I30 /\ I31 <= I29]
74.43/73.63	  f15(I34, I35, I36, I37, I38, I39) -> f16(I34, I37, I36, I34, I34, I35) [I36 <= I37 - 1]
74.43/73.63	  f13(I40, I41, I42, I43, I44, I45) -> f13(I40, I41, I42 + 1, I46, I47, I48) [-1 <= I49 - 1 /\ I42 <= 8 /\ I42 <= I49 - 1 /\ -1 <= I50 - 1 /\ I41 <= I50 - 1 /\ 0 <= I51 - 1 /\ -1 <= I52 - 1 /\ I42 <= I52 - 1 /\ -1 <= I53 - 1 /\ I41 <= I53 - 1 /\ I54 <= 9]
74.43/73.63	  f13(I55, I56, I57, I58, I59, I60) -> f13(I55, I56, I57 + 1, I61, I62, I63) [-1 <= I64 - 1 /\ I57 <= 8 /\ I57 <= I64 - 1 /\ -1 <= I65 - 1 /\ I56 <= I65 - 1 /\ I66 <= -1 /\ -1 <= I67 - 1 /\ I57 <= I67 - 1 /\ -1 <= I68 - 1 /\ I56 <= I68 - 1 /\ I69 <= 9]
74.43/73.63	  f13(I70, I71, I72, I73, I74, I75) -> f13(I70, I71, I72 + 1, I76, I77, I78) [-1 <= I79 - 1 /\ I72 <= 8 /\ I72 <= I79 - 1 /\ -1 <= I80 - 1 /\ I71 <= I80 - 1]
74.43/73.63	  f14(I81, I82, I83, I84, I85, I86) -> f15(I87, I88, I89, I90, I91, I92) [0 <= I81 - 3 * I93 /\ 8 <= I83 - 1 /\ -1 <= I81 - 1 /\ -1 <= I82 - 1 /\ 0 <= I82 - 3 * I94 /\ I81 - 3 * I93 <= 2 /\ I82 - 3 * I94 <= 2 /\ 0 <= I82 - 3 * I95 /\ I82 - 3 * I95 <= 2 /\ 0 <= I82 - 3 * I96 /\ I82 - 3 * I96 <= 2 /\ 0 <= I81 - 3 * I97 /\ I81 - 3 * I97 <= 2 /\ I81 - 3 * I98 <= 2 /\ 0 <= I81 - 3 * I98 /\ I82 - (I82 - 3 * I95) = I87 /\ I82 - (I82 - 3 * I96) + 3 = I88 /\ I81 - (I81 - 3 * I97) = I89 /\ I81 - (I81 - 3 * I98) + 3 = I90]
74.43/73.63	  f13(I99, I100, I101, I102, I103, I104) -> f14(I99, I100, I101, I105, I106, I107) [0 <= I99 - 3 * I108 /\ 8 <= I101 - 1 /\ -1 <= I99 - 1 /\ 0 <= I100 - 3 * I109 /\ -1 <= I100 - 1]
74.43/73.63	  f12(I110, I111, I112, I113, I114, I115) -> f13(I110, I111, 0, I116, I117, I118) [8 <= I112 - 1]
74.43/73.63	  f12(I119, I120, I121, I122, I123, I124) -> f12(I119, I120, I121 + 1, I125, I126, I127) [-1 <= I128 - 1 /\ I121 <= 8 /\ I119 <= I128 - 1 /\ -1 <= I129 - 1 /\ I121 <= I129 - 1 /\ 0 <= I130 - 1 /\ -1 <= I131 - 1 /\ I119 <= I131 - 1 /\ -1 <= I132 - 1 /\ I121 <= I132 - 1 /\ I133 <= 9]
74.43/73.63	  f12(I134, I135, I136, I137, I138, I139) -> f12(I134, I135, I136 + 1, I140, I141, I142) [-1 <= I143 - 1 /\ I136 <= 8 /\ I134 <= I143 - 1 /\ -1 <= I144 - 1 /\ I136 <= I144 - 1 /\ I145 <= -1 /\ -1 <= I146 - 1 /\ I134 <= I146 - 1 /\ -1 <= I147 - 1 /\ I136 <= I147 - 1 /\ I148 <= 9]
74.43/73.63	  f12(I149, I150, I151, I152, I153, I154) -> f12(I149, I150, I151 + 1, I155, I156, I157) [-1 <= I158 - 1 /\ I151 <= 8 /\ I149 <= I158 - 1 /\ -1 <= I159 - 1 /\ I151 <= I159 - 1]
74.43/73.63	  f11(I160, I161, I162, I163, I164, I165) -> f12(I160, I161, 0, I166, I167, I168) [8 <= I162 - 1]
74.43/73.63	  f11(I169, I170, I171, I172, I173, I174) -> f11(I169, I170, I171 + 1, I175, I176, I177) [I171 <= 8]
74.43/73.63	  f8(I178, I179, I180, I181, I182, I183) -> f11(I179, I180, 0, I184, I185, I186) [-1 <= I187 - 1 /\ I180 <= 8 /\ I179 <= I187 - 1 /\ -1 <= I188 - 1 /\ I180 <= I188 - 1 /\ 0 <= I178 - 1]
74.43/73.63	  f7(I189, I190, I191, I192, I193, I194) -> f11(I191, I190, 0, I195, I196, I197) [8 <= I191 - 1 /\ 0 <= I189 - 1]
74.43/73.63	  f10(I198, I199, I200, I201, I202, I203) -> f10(I198, I199, I200, I201 + 1, I204, I205) [0 <= I206 - 1 /\ I201 <= 8 /\ -1 <= I207 - 1 /\ I199 <= I207 - 1 /\ -1 <= I201 - 1 /\ -1 <= I208 - 1 /\ I200 <= I208 - 1 /\ 0 <= I198 - 1 /\ I198 - 1 <= I198 - 1 /\ -1 <= I209 - 1 /\ I199 <= I209 - 1 /\ -1 <= I210 - 1 /\ I200 <= I210 - 1]
74.43/73.63	  f10(I211, I212, I213, I214, I215, I216) -> f10(I211, I212, I213, I214 + 1, I217, I218) [I219 <= -1 /\ I214 <= 8 /\ -1 <= I220 - 1 /\ I212 <= I220 - 1 /\ -1 <= I214 - 1 /\ -1 <= I221 - 1 /\ I213 <= I221 - 1 /\ 0 <= I211 - 1 /\ I211 - 1 <= I211 - 1 /\ -1 <= I222 - 1 /\ I212 <= I222 - 1 /\ -1 <= I223 - 1 /\ I213 <= I223 - 1]
74.43/73.63	  f9(I224, I225, I226, I227, I228, I229) -> f9(I224, I225, I226, I227 + 1, I230, I231) [0 <= I232 - 1 /\ I227 <= 8 /\ -1 <= I233 - 1 /\ I225 <= I233 - 1 /\ -1 <= I227 - 1 /\ -1 <= I234 - 1 /\ I226 <= I234 - 1 /\ 1 <= I225 - 1 /\ 0 <= I224 - 1 /\ I224 - 1 <= I224 - 1 /\ -1 <= I235 - 1 /\ I225 <= I235 - 1 /\ -1 <= I236 - 1 /\ I226 <= I236 - 1]
74.43/73.63	  f9(I237, I238, I239, I240, I241, I242) -> f9(I237, I238, I239, I240 + 1, I243, I244) [I245 <= -1 /\ I240 <= 8 /\ -1 <= I246 - 1 /\ I238 <= I246 - 1 /\ -1 <= I240 - 1 /\ -1 <= I247 - 1 /\ I239 <= I247 - 1 /\ 1 <= I238 - 1 /\ 0 <= I237 - 1 /\ I237 - 1 <= I237 - 1 /\ -1 <= I248 - 1 /\ I238 <= I248 - 1 /\ -1 <= I249 - 1 /\ I239 <= I249 - 1]
74.43/73.63	  f10(I250, I251, I252, I253, I254, I255) -> f5(I250 - 1, I256, I257, I258, I259, I260) [0 <= I261 - 1 /\ I253 <= 8 /\ -1 <= I262 - 1 /\ I251 <= I262 - 1 /\ -1 <= I253 - 1 /\ -1 <= I263 - 1 /\ I252 <= I263 - 1 /\ I250 - 1 <= I250 - 1 /\ 0 <= I250 - 1]
74.43/73.63	  f10(I264, I265, I266, I267, I268, I269) -> f5(I264 - 1, I270, I271, I272, I273, I274) [I275 <= -1 /\ I267 <= 8 /\ -1 <= I276 - 1 /\ I265 <= I276 - 1 /\ -1 <= I267 - 1 /\ -1 <= I277 - 1 /\ I266 <= I277 - 1 /\ I264 - 1 <= I264 - 1 /\ 0 <= I264 - 1]
74.43/73.63	  f9(I278, I279, I280, I281, I282, I283) -> f5(I278 - 1, I284, I285, I286, I287, I288) [0 <= I289 - 1 /\ I281 <= 8 /\ -1 <= I290 - 1 /\ I279 <= I290 - 1 /\ -1 <= I281 - 1 /\ -1 <= I291 - 1 /\ I280 <= I291 - 1 /\ 1 <= I279 - 1 /\ I278 - 1 <= I278 - 1 /\ 0 <= I278 - 1]
74.43/73.63	  f9(I292, I293, I294, I295, I296, I297) -> f5(I292 - 1, I298, I299, I300, I301, I302) [I303 <= -1 /\ I295 <= 8 /\ -1 <= I304 - 1 /\ I293 <= I304 - 1 /\ -1 <= I295 - 1 /\ -1 <= I305 - 1 /\ I294 <= I305 - 1 /\ 1 <= I293 - 1 /\ I292 - 1 <= I292 - 1 /\ 0 <= I292 - 1]
74.43/73.63	  f10(I306, I307, I308, I309, I310, I311) -> f10(I306, I307, I308, I309 + 1, I312, I313) [I309 <= 8]
74.43/73.63	  f9(I314, I315, I316, I317, I318, I319) -> f9(I314, I315, I316, I317 + 1, I320, I321) [I317 <= 8]
74.43/73.63	  f8(I322, I323, I324, I325, I326, I327) -> f10(I322, I323, I324, 0, I328, I329) [-1 <= I330 - 1 /\ I324 <= 8 /\ I323 <= I330 - 1 /\ -1 <= I331 - 1 /\ I324 <= I331 - 1 /\ 0 <= I322 - 1]
74.43/73.63	  f7(I332, I333, I334, I335, I336, I337) -> f9(I332, I334, I333, 0, I338, I339) [8 <= I334 - 1 /\ 0 <= I332 - 1]
74.43/73.63	  f8(I340, I341, I342, I343, I344, I345) -> f8(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.63	  f8(I352, I353, I354, I355, I356, I357) -> f8(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.63	  f8(I364, I365, I366, I367, I368, I369) -> f7(I364, I366, I365 + 1, I370, I371, I372) [8 <= I366 - 1]
74.43/73.63	  f7(I373, I374, I375, I376, I377, I378) -> f8(I373, I375, 0, I379, I380, I381) [I375 <= 8]
74.43/73.63	  f5(I382, I383, I384, I385, I386, I387) -> f7(I382, 0, 0, I388, I389, I390) [0 <= I382 - 1]
74.43/73.63	  f6(I391, I392, I393, I394, I395, I396) -> f6(I397, I392 + 1, I393, I394 + 1, I395, I398) [I393 <= 8 /\ I394 <= 8 /\ I394 <= I399 - 1 /\ -1 <= I399 - 1 /\ I397 <= I391 /\ 0 <= I391 - 1 /\ 0 <= I397 - 1]
74.43/73.63	  f6(I400, I401, I402, I403, I404, I405) -> f6(I406, I401, I402, I403 + 1, I404, I407) [I402 <= 8 /\ I403 <= 8 /\ -1 <= I408 - 1 /\ 0 <= I409 - 1 /\ I403 <= I408 - 1 /\ I406 <= I400 /\ 0 <= I400 - 1 /\ 0 <= I406 - 1]
74.43/73.63	  f6(I410, I411, I412, I413, I414, I415) -> f6(I416, I411, I412, I413 + 1, I414, I417) [I412 <= 8 /\ I413 <= 8 /\ -1 <= I418 - 1 /\ I419 <= -1 /\ I413 <= I418 - 1 /\ I416 <= I410 /\ 0 <= I410 - 1 /\ 0 <= I416 - 1]
74.43/73.63	  f6(I420, I421, I422, I423, I424, I425) -> f4(I426, I421, I422 + 1, I422 + 1, I424, I427) [0 <= I426 - 1 /\ 0 <= I420 - 1 /\ 8 <= I423 - 1 /\ I426 <= I420]
74.43/73.63	  f4(I428, I429, I430, I431, I432, I433) -> f6(I434, I429, I430, 0, I432, I435) [I430 = I431 /\ 0 <= I434 - 1 /\ 0 <= I428 - 1 /\ I430 <= 8 /\ I434 <= I428]
74.43/73.63	  f4(I436, I437, I438, I439, I440, I441) -> f5(I437, I442, I443, I444, I445, I446) [I438 = I439 /\ 0 <= I436 - 1 /\ 1 <= I440 - 1 /\ 8 <= I438 - 1]
74.43/73.63	  f2(I447, I448, I449, I450, I451, I452) -> f4(I453, 0, 0, 0, I449, I454) [0 <= I453 - 1 /\ 0 <= I447 - 1 /\ 8 <= I448 - 1 /\ I453 <= I447]
74.43/73.63	  f3(I455, I456, I457, I458, I459, I460) -> f3(I461, I456, I457 + 1, I458, I462, I463) [I456 <= 8 /\ I457 <= 8 /\ -1 <= I464 - 1 /\ I457 <= I464 - 1 /\ I457 <= I465 - 1 /\ -1 <= I465 - 1 /\ I461 <= I455 /\ 0 <= I455 - 1 /\ 0 <= I461 - 1]
74.43/73.63	  f3(I466, I467, I468, I469, I470, I471) -> f2(I472, I467 + 1, I469, I473, I474, I475) [0 <= I472 - 1 /\ 0 <= I466 - 1 /\ 8 <= I468 - 1 /\ I472 <= I466]
74.43/73.63	  f2(I476, I477, I478, I479, I480, I481) -> f3(I482, I477, 0, I478, I483, I484) [0 <= I482 - 1 /\ 0 <= I476 - 1 /\ I477 <= 8 /\ I482 <= I476]
74.43/73.63	  f1(I485, I486, I487, I488, I489, I490) -> f2(I491, 0, I486, I492, I493, I494) [0 <= I491 - 1 /\ 0 <= I485 - 1 /\ 1 <= I486 - 1 /\ I491 <= I485]
74.43/73.63	
74.43/73.63	We use the reverse value criterion with the projection function NU:
74.43/73.63	  NU[f15#(z1,z2,z3,z4,z5,z6)] = z4 - 1 + -1 * z3
74.43/73.63	  NU[f16#(z1,z2,z3,z4,z5,z6)] = z2 - 1 + -1 * (z3 + 1)
74.43/73.63	
74.43/73.63	This gives the following inequalities:
74.43/73.63	  -1 <= y1 - 1 /\ I3 <= I5 - 1 /\ I2 <= y1 - 1 /\ -1 <= y2 - 1 /\ I3 <= y2 - 1 /\ 0 <= y3 - 1 /\ -1 <= y4 - 1 /\ I2 <= y4 - 1 /\ -1 <= y5 - 1 /\ I3 <= y5 - 1 /\ y6 <= 9 /\ I3 = I4  ==>  I1 - 1 + -1 * (I2 + 1) >= I1 - 1 + -1 * (I2 + 1)
74.43/73.63	  -1 <= I12 - 1 /\ I9 <= I11 - 1 /\ I8 <= I12 - 1 /\ -1 <= I13 - 1 /\ I9 <= I13 - 1 /\ I14 <= -1 /\ -1 <= I15 - 1 /\ I8 <= I15 - 1 /\ -1 <= I16 - 1 /\ I9 <= I16 - 1 /\ I17 <= 9 /\ I9 = I10  ==>  I7 - 1 + -1 * (I8 + 1) >= I7 - 1 + -1 * (I8 + 1)
74.43/73.63	  -1 <= I24 - 1 /\ I21 <= I23 - 1 /\ I20 <= I24 - 1 /\ -1 <= I25 - 1 /\ I21 <= I25 - 1 /\ I21 = I22  ==>  I19 - 1 + -1 * (I20 + 1) >= I19 - 1 + -1 * (I20 + 1)
74.43/73.63	  I29 = I30 /\ I31 <= I29  ==>  I27 - 1 + -1 * (I28 + 1) >= I27 - 1 + -1 * (I28 + 1)
74.43/73.63	  I36 <= I37 - 1  ==>  I37 - 1 + -1 * I36 > I37 - 1 + -1 * (I36 + 1)  with  I37 - 1 + -1 * I36 >= 0
74.43/73.63	
74.43/73.63	We remove all the strictly oriented dependency pairs.
74.43/73.63	
74.43/73.63	DP problem for innermost termination.
74.43/73.63	P =
74.43/73.63	  f16#(I0, I1, I2, I3, I4, I5) -> f16#(I0, I1, I2, I3 + 1, I3 + 1, I5) [-1 <= y1 - 1 /\ I3 <= I5 - 1 /\ I2 <= y1 - 1 /\ -1 <= y2 - 1 /\ I3 <= y2 - 1 /\ 0 <= y3 - 1 /\ -1 <= y4 - 1 /\ I2 <= y4 - 1 /\ -1 <= y5 - 1 /\ I3 <= y5 - 1 /\ y6 <= 9 /\ I3 = I4]
74.43/73.63	  f16#(I6, I7, I8, I9, I10, I11) -> f16#(I6, I7, I8, I9 + 1, I9 + 1, I11) [-1 <= I12 - 1 /\ I9 <= I11 - 1 /\ I8 <= I12 - 1 /\ -1 <= I13 - 1 /\ I9 <= I13 - 1 /\ I14 <= -1 /\ -1 <= I15 - 1 /\ I8 <= I15 - 1 /\ -1 <= I16 - 1 /\ I9 <= I16 - 1 /\ I17 <= 9 /\ I9 = I10]
74.43/73.63	  f16#(I18, I19, I20, I21, I22, I23) -> f16#(I18, I19, I20, I21 + 1, I21 + 1, I23) [-1 <= I24 - 1 /\ I21 <= I23 - 1 /\ I20 <= I24 - 1 /\ -1 <= I25 - 1 /\ I21 <= I25 - 1 /\ I21 = I22]
74.43/73.63	  f16#(I26, I27, I28, I29, I30, I31) -> f15#(I26, I31, I28 + 1, I27, I32, I33) [I29 = I30 /\ I31 <= I29]
74.43/73.63	R = 
74.43/73.63	  init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
74.43/73.63	  f16(I0, I1, I2, I3, I4, I5) -> f16(I0, I1, I2, I3 + 1, I3 + 1, I5) [-1 <= y1 - 1 /\ I3 <= I5 - 1 /\ I2 <= y1 - 1 /\ -1 <= y2 - 1 /\ I3 <= y2 - 1 /\ 0 <= y3 - 1 /\ -1 <= y4 - 1 /\ I2 <= y4 - 1 /\ -1 <= y5 - 1 /\ I3 <= y5 - 1 /\ y6 <= 9 /\ I3 = I4]
74.43/73.63	  f16(I6, I7, I8, I9, I10, I11) -> f16(I6, I7, I8, I9 + 1, I9 + 1, I11) [-1 <= I12 - 1 /\ I9 <= I11 - 1 /\ I8 <= I12 - 1 /\ -1 <= I13 - 1 /\ I9 <= I13 - 1 /\ I14 <= -1 /\ -1 <= I15 - 1 /\ I8 <= I15 - 1 /\ -1 <= I16 - 1 /\ I9 <= I16 - 1 /\ I17 <= 9 /\ I9 = I10]
74.43/73.63	  f16(I18, I19, I20, I21, I22, I23) -> f16(I18, I19, I20, I21 + 1, I21 + 1, I23) [-1 <= I24 - 1 /\ I21 <= I23 - 1 /\ I20 <= I24 - 1 /\ -1 <= I25 - 1 /\ I21 <= I25 - 1 /\ I21 = I22]
74.43/73.63	  f16(I26, I27, I28, I29, I30, I31) -> f15(I26, I31, I28 + 1, I27, I32, I33) [I29 = I30 /\ I31 <= I29]
74.43/73.63	  f15(I34, I35, I36, I37, I38, I39) -> f16(I34, I37, I36, I34, I34, I35) [I36 <= I37 - 1]
74.43/73.63	  f13(I40, I41, I42, I43, I44, I45) -> f13(I40, I41, I42 + 1, I46, I47, I48) [-1 <= I49 - 1 /\ I42 <= 8 /\ I42 <= I49 - 1 /\ -1 <= I50 - 1 /\ I41 <= I50 - 1 /\ 0 <= I51 - 1 /\ -1 <= I52 - 1 /\ I42 <= I52 - 1 /\ -1 <= I53 - 1 /\ I41 <= I53 - 1 /\ I54 <= 9]
74.43/73.63	  f13(I55, I56, I57, I58, I59, I60) -> f13(I55, I56, I57 + 1, I61, I62, I63) [-1 <= I64 - 1 /\ I57 <= 8 /\ I57 <= I64 - 1 /\ -1 <= I65 - 1 /\ I56 <= I65 - 1 /\ I66 <= -1 /\ -1 <= I67 - 1 /\ I57 <= I67 - 1 /\ -1 <= I68 - 1 /\ I56 <= I68 - 1 /\ I69 <= 9]
74.43/73.63	  f13(I70, I71, I72, I73, I74, I75) -> f13(I70, I71, I72 + 1, I76, I77, I78) [-1 <= I79 - 1 /\ I72 <= 8 /\ I72 <= I79 - 1 /\ -1 <= I80 - 1 /\ I71 <= I80 - 1]
74.43/73.63	  f14(I81, I82, I83, I84, I85, I86) -> f15(I87, I88, I89, I90, I91, I92) [0 <= I81 - 3 * I93 /\ 8 <= I83 - 1 /\ -1 <= I81 - 1 /\ -1 <= I82 - 1 /\ 0 <= I82 - 3 * I94 /\ I81 - 3 * I93 <= 2 /\ I82 - 3 * I94 <= 2 /\ 0 <= I82 - 3 * I95 /\ I82 - 3 * I95 <= 2 /\ 0 <= I82 - 3 * I96 /\ I82 - 3 * I96 <= 2 /\ 0 <= I81 - 3 * I97 /\ I81 - 3 * I97 <= 2 /\ I81 - 3 * I98 <= 2 /\ 0 <= I81 - 3 * I98 /\ I82 - (I82 - 3 * I95) = I87 /\ I82 - (I82 - 3 * I96) + 3 = I88 /\ I81 - (I81 - 3 * I97) = I89 /\ I81 - (I81 - 3 * I98) + 3 = I90]
74.43/73.63	  f13(I99, I100, I101, I102, I103, I104) -> f14(I99, I100, I101, I105, I106, I107) [0 <= I99 - 3 * I108 /\ 8 <= I101 - 1 /\ -1 <= I99 - 1 /\ 0 <= I100 - 3 * I109 /\ -1 <= I100 - 1]
74.43/73.63	  f12(I110, I111, I112, I113, I114, I115) -> f13(I110, I111, 0, I116, I117, I118) [8 <= I112 - 1]
74.43/73.63	  f12(I119, I120, I121, I122, I123, I124) -> f12(I119, I120, I121 + 1, I125, I126, I127) [-1 <= I128 - 1 /\ I121 <= 8 /\ I119 <= I128 - 1 /\ -1 <= I129 - 1 /\ I121 <= I129 - 1 /\ 0 <= I130 - 1 /\ -1 <= I131 - 1 /\ I119 <= I131 - 1 /\ -1 <= I132 - 1 /\ I121 <= I132 - 1 /\ I133 <= 9]
74.43/73.63	  f12(I134, I135, I136, I137, I138, I139) -> f12(I134, I135, I136 + 1, I140, I141, I142) [-1 <= I143 - 1 /\ I136 <= 8 /\ I134 <= I143 - 1 /\ -1 <= I144 - 1 /\ I136 <= I144 - 1 /\ I145 <= -1 /\ -1 <= I146 - 1 /\ I134 <= I146 - 1 /\ -1 <= I147 - 1 /\ I136 <= I147 - 1 /\ I148 <= 9]
74.43/73.63	  f12(I149, I150, I151, I152, I153, I154) -> f12(I149, I150, I151 + 1, I155, I156, I157) [-1 <= I158 - 1 /\ I151 <= 8 /\ I149 <= I158 - 1 /\ -1 <= I159 - 1 /\ I151 <= I159 - 1]
74.43/73.63	  f11(I160, I161, I162, I163, I164, I165) -> f12(I160, I161, 0, I166, I167, I168) [8 <= I162 - 1]
74.43/73.63	  f11(I169, I170, I171, I172, I173, I174) -> f11(I169, I170, I171 + 1, I175, I176, I177) [I171 <= 8]
74.43/73.63	  f8(I178, I179, I180, I181, I182, I183) -> f11(I179, I180, 0, I184, I185, I186) [-1 <= I187 - 1 /\ I180 <= 8 /\ I179 <= I187 - 1 /\ -1 <= I188 - 1 /\ I180 <= I188 - 1 /\ 0 <= I178 - 1]
74.43/73.63	  f7(I189, I190, I191, I192, I193, I194) -> f11(I191, I190, 0, I195, I196, I197) [8 <= I191 - 1 /\ 0 <= I189 - 1]
74.43/73.63	  f10(I198, I199, I200, I201, I202, I203) -> f10(I198, I199, I200, I201 + 1, I204, I205) [0 <= I206 - 1 /\ I201 <= 8 /\ -1 <= I207 - 1 /\ I199 <= I207 - 1 /\ -1 <= I201 - 1 /\ -1 <= I208 - 1 /\ I200 <= I208 - 1 /\ 0 <= I198 - 1 /\ I198 - 1 <= I198 - 1 /\ -1 <= I209 - 1 /\ I199 <= I209 - 1 /\ -1 <= I210 - 1 /\ I200 <= I210 - 1]
74.43/73.63	  f10(I211, I212, I213, I214, I215, I216) -> f10(I211, I212, I213, I214 + 1, I217, I218) [I219 <= -1 /\ I214 <= 8 /\ -1 <= I220 - 1 /\ I212 <= I220 - 1 /\ -1 <= I214 - 1 /\ -1 <= I221 - 1 /\ I213 <= I221 - 1 /\ 0 <= I211 - 1 /\ I211 - 1 <= I211 - 1 /\ -1 <= I222 - 1 /\ I212 <= I222 - 1 /\ -1 <= I223 - 1 /\ I213 <= I223 - 1]
74.43/73.63	  f9(I224, I225, I226, I227, I228, I229) -> f9(I224, I225, I226, I227 + 1, I230, I231) [0 <= I232 - 1 /\ I227 <= 8 /\ -1 <= I233 - 1 /\ I225 <= I233 - 1 /\ -1 <= I227 - 1 /\ -1 <= I234 - 1 /\ I226 <= I234 - 1 /\ 1 <= I225 - 1 /\ 0 <= I224 - 1 /\ I224 - 1 <= I224 - 1 /\ -1 <= I235 - 1 /\ I225 <= I235 - 1 /\ -1 <= I236 - 1 /\ I226 <= I236 - 1]
74.43/73.63	  f9(I237, I238, I239, I240, I241, I242) -> f9(I237, I238, I239, I240 + 1, I243, I244) [I245 <= -1 /\ I240 <= 8 /\ -1 <= I246 - 1 /\ I238 <= I246 - 1 /\ -1 <= I240 - 1 /\ -1 <= I247 - 1 /\ I239 <= I247 - 1 /\ 1 <= I238 - 1 /\ 0 <= I237 - 1 /\ I237 - 1 <= I237 - 1 /\ -1 <= I248 - 1 /\ I238 <= I248 - 1 /\ -1 <= I249 - 1 /\ I239 <= I249 - 1]
74.43/73.63	  f10(I250, I251, I252, I253, I254, I255) -> f5(I250 - 1, I256, I257, I258, I259, I260) [0 <= I261 - 1 /\ I253 <= 8 /\ -1 <= I262 - 1 /\ I251 <= I262 - 1 /\ -1 <= I253 - 1 /\ -1 <= I263 - 1 /\ I252 <= I263 - 1 /\ I250 - 1 <= I250 - 1 /\ 0 <= I250 - 1]
74.43/73.63	  f10(I264, I265, I266, I267, I268, I269) -> f5(I264 - 1, I270, I271, I272, I273, I274) [I275 <= -1 /\ I267 <= 8 /\ -1 <= I276 - 1 /\ I265 <= I276 - 1 /\ -1 <= I267 - 1 /\ -1 <= I277 - 1 /\ I266 <= I277 - 1 /\ I264 - 1 <= I264 - 1 /\ 0 <= I264 - 1]
74.43/73.63	  f9(I278, I279, I280, I281, I282, I283) -> f5(I278 - 1, I284, I285, I286, I287, I288) [0 <= I289 - 1 /\ I281 <= 8 /\ -1 <= I290 - 1 /\ I279 <= I290 - 1 /\ -1 <= I281 - 1 /\ -1 <= I291 - 1 /\ I280 <= I291 - 1 /\ 1 <= I279 - 1 /\ I278 - 1 <= I278 - 1 /\ 0 <= I278 - 1]
74.43/73.63	  f9(I292, I293, I294, I295, I296, I297) -> f5(I292 - 1, I298, I299, I300, I301, I302) [I303 <= -1 /\ I295 <= 8 /\ -1 <= I304 - 1 /\ I293 <= I304 - 1 /\ -1 <= I295 - 1 /\ -1 <= I305 - 1 /\ I294 <= I305 - 1 /\ 1 <= I293 - 1 /\ I292 - 1 <= I292 - 1 /\ 0 <= I292 - 1]
74.43/73.63	  f10(I306, I307, I308, I309, I310, I311) -> f10(I306, I307, I308, I309 + 1, I312, I313) [I309 <= 8]
74.43/73.63	  f9(I314, I315, I316, I317, I318, I319) -> f9(I314, I315, I316, I317 + 1, I320, I321) [I317 <= 8]
74.43/73.63	  f8(I322, I323, I324, I325, I326, I327) -> f10(I322, I323, I324, 0, I328, I329) [-1 <= I330 - 1 /\ I324 <= 8 /\ I323 <= I330 - 1 /\ -1 <= I331 - 1 /\ I324 <= I331 - 1 /\ 0 <= I322 - 1]
74.43/73.63	  f7(I332, I333, I334, I335, I336, I337) -> f9(I332, I334, I333, 0, I338, I339) [8 <= I334 - 1 /\ 0 <= I332 - 1]
74.43/73.63	  f8(I340, I341, I342, I343, I344, I345) -> f8(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.63	  f8(I352, I353, I354, I355, I356, I357) -> f8(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.63	  f8(I364, I365, I366, I367, I368, I369) -> f7(I364, I366, I365 + 1, I370, I371, I372) [8 <= I366 - 1]
74.43/73.63	  f7(I373, I374, I375, I376, I377, I378) -> f8(I373, I375, 0, I379, I380, I381) [I375 <= 8]
74.43/73.63	  f5(I382, I383, I384, I385, I386, I387) -> f7(I382, 0, 0, I388, I389, I390) [0 <= I382 - 1]
74.43/73.63	  f6(I391, I392, I393, I394, I395, I396) -> f6(I397, I392 + 1, I393, I394 + 1, I395, I398) [I393 <= 8 /\ I394 <= 8 /\ I394 <= I399 - 1 /\ -1 <= I399 - 1 /\ I397 <= I391 /\ 0 <= I391 - 1 /\ 0 <= I397 - 1]
74.43/73.63	  f6(I400, I401, I402, I403, I404, I405) -> f6(I406, I401, I402, I403 + 1, I404, I407) [I402 <= 8 /\ I403 <= 8 /\ -1 <= I408 - 1 /\ 0 <= I409 - 1 /\ I403 <= I408 - 1 /\ I406 <= I400 /\ 0 <= I400 - 1 /\ 0 <= I406 - 1]
74.43/73.63	  f6(I410, I411, I412, I413, I414, I415) -> f6(I416, I411, I412, I413 + 1, I414, I417) [I412 <= 8 /\ I413 <= 8 /\ -1 <= I418 - 1 /\ I419 <= -1 /\ I413 <= I418 - 1 /\ I416 <= I410 /\ 0 <= I410 - 1 /\ 0 <= I416 - 1]
74.43/73.63	  f6(I420, I421, I422, I423, I424, I425) -> f4(I426, I421, I422 + 1, I422 + 1, I424, I427) [0 <= I426 - 1 /\ 0 <= I420 - 1 /\ 8 <= I423 - 1 /\ I426 <= I420]
74.43/73.63	  f4(I428, I429, I430, I431, I432, I433) -> f6(I434, I429, I430, 0, I432, I435) [I430 = I431 /\ 0 <= I434 - 1 /\ 0 <= I428 - 1 /\ I430 <= 8 /\ I434 <= I428]
74.43/73.63	  f4(I436, I437, I438, I439, I440, I441) -> f5(I437, I442, I443, I444, I445, I446) [I438 = I439 /\ 0 <= I436 - 1 /\ 1 <= I440 - 1 /\ 8 <= I438 - 1]
74.43/73.63	  f2(I447, I448, I449, I450, I451, I452) -> f4(I453, 0, 0, 0, I449, I454) [0 <= I453 - 1 /\ 0 <= I447 - 1 /\ 8 <= I448 - 1 /\ I453 <= I447]
74.43/73.63	  f3(I455, I456, I457, I458, I459, I460) -> f3(I461, I456, I457 + 1, I458, I462, I463) [I456 <= 8 /\ I457 <= 8 /\ -1 <= I464 - 1 /\ I457 <= I464 - 1 /\ I457 <= I465 - 1 /\ -1 <= I465 - 1 /\ I461 <= I455 /\ 0 <= I455 - 1 /\ 0 <= I461 - 1]
74.43/73.63	  f3(I466, I467, I468, I469, I470, I471) -> f2(I472, I467 + 1, I469, I473, I474, I475) [0 <= I472 - 1 /\ 0 <= I466 - 1 /\ 8 <= I468 - 1 /\ I472 <= I466]
74.43/73.63	  f2(I476, I477, I478, I479, I480, I481) -> f3(I482, I477, 0, I478, I483, I484) [0 <= I482 - 1 /\ 0 <= I476 - 1 /\ I477 <= 8 /\ I482 <= I476]
74.43/73.63	  f1(I485, I486, I487, I488, I489, I490) -> f2(I491, 0, I486, I492, I493, I494) [0 <= I491 - 1 /\ 0 <= I485 - 1 /\ 1 <= I486 - 1 /\ I491 <= I485]
74.43/73.63	
74.43/73.63	The dependency graph for this problem is:
74.43/73.63	  1 -> 1, 2, 3, 4
74.43/73.63	  2 -> 1, 2, 3, 4
74.43/73.63	  3 -> 1, 2, 3, 4
74.43/73.63	  4 -> 
74.43/73.63	Where:
74.43/73.63	  1) f16#(I0, I1, I2, I3, I4, I5) -> f16#(I0, I1, I2, I3 + 1, I3 + 1, I5) [-1 <= y1 - 1 /\ I3 <= I5 - 1 /\ I2 <= y1 - 1 /\ -1 <= y2 - 1 /\ I3 <= y2 - 1 /\ 0 <= y3 - 1 /\ -1 <= y4 - 1 /\ I2 <= y4 - 1 /\ -1 <= y5 - 1 /\ I3 <= y5 - 1 /\ y6 <= 9 /\ I3 = I4]
74.43/73.63	  2) f16#(I6, I7, I8, I9, I10, I11) -> f16#(I6, I7, I8, I9 + 1, I9 + 1, I11) [-1 <= I12 - 1 /\ I9 <= I11 - 1 /\ I8 <= I12 - 1 /\ -1 <= I13 - 1 /\ I9 <= I13 - 1 /\ I14 <= -1 /\ -1 <= I15 - 1 /\ I8 <= I15 - 1 /\ -1 <= I16 - 1 /\ I9 <= I16 - 1 /\ I17 <= 9 /\ I9 = I10]
74.43/73.63	  3) f16#(I18, I19, I20, I21, I22, I23) -> f16#(I18, I19, I20, I21 + 1, I21 + 1, I23) [-1 <= I24 - 1 /\ I21 <= I23 - 1 /\ I20 <= I24 - 1 /\ -1 <= I25 - 1 /\ I21 <= I25 - 1 /\ I21 = I22]
74.43/73.63	  4) f16#(I26, I27, I28, I29, I30, I31) -> f15#(I26, I31, I28 + 1, I27, I32, I33) [I29 = I30 /\ I31 <= I29]
74.43/73.63	
74.43/73.63	We have the following SCCs.
74.43/73.63	  { 1, 2, 3 }
74.43/73.63	
74.43/73.63	DP problem for innermost termination.
74.43/73.63	P =
74.43/73.63	  f16#(I0, I1, I2, I3, I4, I5) -> f16#(I0, I1, I2, I3 + 1, I3 + 1, I5) [-1 <= y1 - 1 /\ I3 <= I5 - 1 /\ I2 <= y1 - 1 /\ -1 <= y2 - 1 /\ I3 <= y2 - 1 /\ 0 <= y3 - 1 /\ -1 <= y4 - 1 /\ I2 <= y4 - 1 /\ -1 <= y5 - 1 /\ I3 <= y5 - 1 /\ y6 <= 9 /\ I3 = I4]
74.43/73.63	  f16#(I6, I7, I8, I9, I10, I11) -> f16#(I6, I7, I8, I9 + 1, I9 + 1, I11) [-1 <= I12 - 1 /\ I9 <= I11 - 1 /\ I8 <= I12 - 1 /\ -1 <= I13 - 1 /\ I9 <= I13 - 1 /\ I14 <= -1 /\ -1 <= I15 - 1 /\ I8 <= I15 - 1 /\ -1 <= I16 - 1 /\ I9 <= I16 - 1 /\ I17 <= 9 /\ I9 = I10]
74.43/73.63	  f16#(I18, I19, I20, I21, I22, I23) -> f16#(I18, I19, I20, I21 + 1, I21 + 1, I23) [-1 <= I24 - 1 /\ I21 <= I23 - 1 /\ I20 <= I24 - 1 /\ -1 <= I25 - 1 /\ I21 <= I25 - 1 /\ I21 = I22]
74.43/73.63	R = 
74.43/73.63	  init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
74.43/73.63	  f16(I0, I1, I2, I3, I4, I5) -> f16(I0, I1, I2, I3 + 1, I3 + 1, I5) [-1 <= y1 - 1 /\ I3 <= I5 - 1 /\ I2 <= y1 - 1 /\ -1 <= y2 - 1 /\ I3 <= y2 - 1 /\ 0 <= y3 - 1 /\ -1 <= y4 - 1 /\ I2 <= y4 - 1 /\ -1 <= y5 - 1 /\ I3 <= y5 - 1 /\ y6 <= 9 /\ I3 = I4]
74.43/73.63	  f16(I6, I7, I8, I9, I10, I11) -> f16(I6, I7, I8, I9 + 1, I9 + 1, I11) [-1 <= I12 - 1 /\ I9 <= I11 - 1 /\ I8 <= I12 - 1 /\ -1 <= I13 - 1 /\ I9 <= I13 - 1 /\ I14 <= -1 /\ -1 <= I15 - 1 /\ I8 <= I15 - 1 /\ -1 <= I16 - 1 /\ I9 <= I16 - 1 /\ I17 <= 9 /\ I9 = I10]
74.43/73.63	  f16(I18, I19, I20, I21, I22, I23) -> f16(I18, I19, I20, I21 + 1, I21 + 1, I23) [-1 <= I24 - 1 /\ I21 <= I23 - 1 /\ I20 <= I24 - 1 /\ -1 <= I25 - 1 /\ I21 <= I25 - 1 /\ I21 = I22]
74.43/73.63	  f16(I26, I27, I28, I29, I30, I31) -> f15(I26, I31, I28 + 1, I27, I32, I33) [I29 = I30 /\ I31 <= I29]
74.43/73.63	  f15(I34, I35, I36, I37, I38, I39) -> f16(I34, I37, I36, I34, I34, I35) [I36 <= I37 - 1]
74.43/73.63	  f13(I40, I41, I42, I43, I44, I45) -> f13(I40, I41, I42 + 1, I46, I47, I48) [-1 <= I49 - 1 /\ I42 <= 8 /\ I42 <= I49 - 1 /\ -1 <= I50 - 1 /\ I41 <= I50 - 1 /\ 0 <= I51 - 1 /\ -1 <= I52 - 1 /\ I42 <= I52 - 1 /\ -1 <= I53 - 1 /\ I41 <= I53 - 1 /\ I54 <= 9]
74.43/73.63	  f13(I55, I56, I57, I58, I59, I60) -> f13(I55, I56, I57 + 1, I61, I62, I63) [-1 <= I64 - 1 /\ I57 <= 8 /\ I57 <= I64 - 1 /\ -1 <= I65 - 1 /\ I56 <= I65 - 1 /\ I66 <= -1 /\ -1 <= I67 - 1 /\ I57 <= I67 - 1 /\ -1 <= I68 - 1 /\ I56 <= I68 - 1 /\ I69 <= 9]
74.43/73.63	  f13(I70, I71, I72, I73, I74, I75) -> f13(I70, I71, I72 + 1, I76, I77, I78) [-1 <= I79 - 1 /\ I72 <= 8 /\ I72 <= I79 - 1 /\ -1 <= I80 - 1 /\ I71 <= I80 - 1]
74.43/73.63	  f14(I81, I82, I83, I84, I85, I86) -> f15(I87, I88, I89, I90, I91, I92) [0 <= I81 - 3 * I93 /\ 8 <= I83 - 1 /\ -1 <= I81 - 1 /\ -1 <= I82 - 1 /\ 0 <= I82 - 3 * I94 /\ I81 - 3 * I93 <= 2 /\ I82 - 3 * I94 <= 2 /\ 0 <= I82 - 3 * I95 /\ I82 - 3 * I95 <= 2 /\ 0 <= I82 - 3 * I96 /\ I82 - 3 * I96 <= 2 /\ 0 <= I81 - 3 * I97 /\ I81 - 3 * I97 <= 2 /\ I81 - 3 * I98 <= 2 /\ 0 <= I81 - 3 * I98 /\ I82 - (I82 - 3 * I95) = I87 /\ I82 - (I82 - 3 * I96) + 3 = I88 /\ I81 - (I81 - 3 * I97) = I89 /\ I81 - (I81 - 3 * I98) + 3 = I90]
74.43/73.63	  f13(I99, I100, I101, I102, I103, I104) -> f14(I99, I100, I101, I105, I106, I107) [0 <= I99 - 3 * I108 /\ 8 <= I101 - 1 /\ -1 <= I99 - 1 /\ 0 <= I100 - 3 * I109 /\ -1 <= I100 - 1]
74.43/73.63	  f12(I110, I111, I112, I113, I114, I115) -> f13(I110, I111, 0, I116, I117, I118) [8 <= I112 - 1]
74.43/73.63	  f12(I119, I120, I121, I122, I123, I124) -> f12(I119, I120, I121 + 1, I125, I126, I127) [-1 <= I128 - 1 /\ I121 <= 8 /\ I119 <= I128 - 1 /\ -1 <= I129 - 1 /\ I121 <= I129 - 1 /\ 0 <= I130 - 1 /\ -1 <= I131 - 1 /\ I119 <= I131 - 1 /\ -1 <= I132 - 1 /\ I121 <= I132 - 1 /\ I133 <= 9]
74.43/73.63	  f12(I134, I135, I136, I137, I138, I139) -> f12(I134, I135, I136 + 1, I140, I141, I142) [-1 <= I143 - 1 /\ I136 <= 8 /\ I134 <= I143 - 1 /\ -1 <= I144 - 1 /\ I136 <= I144 - 1 /\ I145 <= -1 /\ -1 <= I146 - 1 /\ I134 <= I146 - 1 /\ -1 <= I147 - 1 /\ I136 <= I147 - 1 /\ I148 <= 9]
74.43/73.63	  f12(I149, I150, I151, I152, I153, I154) -> f12(I149, I150, I151 + 1, I155, I156, I157) [-1 <= I158 - 1 /\ I151 <= 8 /\ I149 <= I158 - 1 /\ -1 <= I159 - 1 /\ I151 <= I159 - 1]
74.43/73.63	  f11(I160, I161, I162, I163, I164, I165) -> f12(I160, I161, 0, I166, I167, I168) [8 <= I162 - 1]
74.43/73.63	  f11(I169, I170, I171, I172, I173, I174) -> f11(I169, I170, I171 + 1, I175, I176, I177) [I171 <= 8]
74.43/73.63	  f8(I178, I179, I180, I181, I182, I183) -> f11(I179, I180, 0, I184, I185, I186) [-1 <= I187 - 1 /\ I180 <= 8 /\ I179 <= I187 - 1 /\ -1 <= I188 - 1 /\ I180 <= I188 - 1 /\ 0 <= I178 - 1]
74.43/73.63	  f7(I189, I190, I191, I192, I193, I194) -> f11(I191, I190, 0, I195, I196, I197) [8 <= I191 - 1 /\ 0 <= I189 - 1]
74.43/73.63	  f10(I198, I199, I200, I201, I202, I203) -> f10(I198, I199, I200, I201 + 1, I204, I205) [0 <= I206 - 1 /\ I201 <= 8 /\ -1 <= I207 - 1 /\ I199 <= I207 - 1 /\ -1 <= I201 - 1 /\ -1 <= I208 - 1 /\ I200 <= I208 - 1 /\ 0 <= I198 - 1 /\ I198 - 1 <= I198 - 1 /\ -1 <= I209 - 1 /\ I199 <= I209 - 1 /\ -1 <= I210 - 1 /\ I200 <= I210 - 1]
74.43/73.63	  f10(I211, I212, I213, I214, I215, I216) -> f10(I211, I212, I213, I214 + 1, I217, I218) [I219 <= -1 /\ I214 <= 8 /\ -1 <= I220 - 1 /\ I212 <= I220 - 1 /\ -1 <= I214 - 1 /\ -1 <= I221 - 1 /\ I213 <= I221 - 1 /\ 0 <= I211 - 1 /\ I211 - 1 <= I211 - 1 /\ -1 <= I222 - 1 /\ I212 <= I222 - 1 /\ -1 <= I223 - 1 /\ I213 <= I223 - 1]
74.43/73.63	  f9(I224, I225, I226, I227, I228, I229) -> f9(I224, I225, I226, I227 + 1, I230, I231) [0 <= I232 - 1 /\ I227 <= 8 /\ -1 <= I233 - 1 /\ I225 <= I233 - 1 /\ -1 <= I227 - 1 /\ -1 <= I234 - 1 /\ I226 <= I234 - 1 /\ 1 <= I225 - 1 /\ 0 <= I224 - 1 /\ I224 - 1 <= I224 - 1 /\ -1 <= I235 - 1 /\ I225 <= I235 - 1 /\ -1 <= I236 - 1 /\ I226 <= I236 - 1]
74.43/73.63	  f9(I237, I238, I239, I240, I241, I242) -> f9(I237, I238, I239, I240 + 1, I243, I244) [I245 <= -1 /\ I240 <= 8 /\ -1 <= I246 - 1 /\ I238 <= I246 - 1 /\ -1 <= I240 - 1 /\ -1 <= I247 - 1 /\ I239 <= I247 - 1 /\ 1 <= I238 - 1 /\ 0 <= I237 - 1 /\ I237 - 1 <= I237 - 1 /\ -1 <= I248 - 1 /\ I238 <= I248 - 1 /\ -1 <= I249 - 1 /\ I239 <= I249 - 1]
74.43/73.63	  f10(I250, I251, I252, I253, I254, I255) -> f5(I250 - 1, I256, I257, I258, I259, I260) [0 <= I261 - 1 /\ I253 <= 8 /\ -1 <= I262 - 1 /\ I251 <= I262 - 1 /\ -1 <= I253 - 1 /\ -1 <= I263 - 1 /\ I252 <= I263 - 1 /\ I250 - 1 <= I250 - 1 /\ 0 <= I250 - 1]
74.43/73.63	  f10(I264, I265, I266, I267, I268, I269) -> f5(I264 - 1, I270, I271, I272, I273, I274) [I275 <= -1 /\ I267 <= 8 /\ -1 <= I276 - 1 /\ I265 <= I276 - 1 /\ -1 <= I267 - 1 /\ -1 <= I277 - 1 /\ I266 <= I277 - 1 /\ I264 - 1 <= I264 - 1 /\ 0 <= I264 - 1]
74.43/73.63	  f9(I278, I279, I280, I281, I282, I283) -> f5(I278 - 1, I284, I285, I286, I287, I288) [0 <= I289 - 1 /\ I281 <= 8 /\ -1 <= I290 - 1 /\ I279 <= I290 - 1 /\ -1 <= I281 - 1 /\ -1 <= I291 - 1 /\ I280 <= I291 - 1 /\ 1 <= I279 - 1 /\ I278 - 1 <= I278 - 1 /\ 0 <= I278 - 1]
74.43/73.63	  f9(I292, I293, I294, I295, I296, I297) -> f5(I292 - 1, I298, I299, I300, I301, I302) [I303 <= -1 /\ I295 <= 8 /\ -1 <= I304 - 1 /\ I293 <= I304 - 1 /\ -1 <= I295 - 1 /\ -1 <= I305 - 1 /\ I294 <= I305 - 1 /\ 1 <= I293 - 1 /\ I292 - 1 <= I292 - 1 /\ 0 <= I292 - 1]
74.43/73.63	  f10(I306, I307, I308, I309, I310, I311) -> f10(I306, I307, I308, I309 + 1, I312, I313) [I309 <= 8]
74.43/73.63	  f9(I314, I315, I316, I317, I318, I319) -> f9(I314, I315, I316, I317 + 1, I320, I321) [I317 <= 8]
74.43/73.63	  f8(I322, I323, I324, I325, I326, I327) -> f10(I322, I323, I324, 0, I328, I329) [-1 <= I330 - 1 /\ I324 <= 8 /\ I323 <= I330 - 1 /\ -1 <= I331 - 1 /\ I324 <= I331 - 1 /\ 0 <= I322 - 1]
74.43/73.63	  f7(I332, I333, I334, I335, I336, I337) -> f9(I332, I334, I333, 0, I338, I339) [8 <= I334 - 1 /\ 0 <= I332 - 1]
74.43/73.63	  f8(I340, I341, I342, I343, I344, I345) -> f8(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.63	  f8(I352, I353, I354, I355, I356, I357) -> f8(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.63	  f8(I364, I365, I366, I367, I368, I369) -> f7(I364, I366, I365 + 1, I370, I371, I372) [8 <= I366 - 1]
74.43/73.63	  f7(I373, I374, I375, I376, I377, I378) -> f8(I373, I375, 0, I379, I380, I381) [I375 <= 8]
74.43/73.63	  f5(I382, I383, I384, I385, I386, I387) -> f7(I382, 0, 0, I388, I389, I390) [0 <= I382 - 1]
74.43/73.63	  f6(I391, I392, I393, I394, I395, I396) -> f6(I397, I392 + 1, I393, I394 + 1, I395, I398) [I393 <= 8 /\ I394 <= 8 /\ I394 <= I399 - 1 /\ -1 <= I399 - 1 /\ I397 <= I391 /\ 0 <= I391 - 1 /\ 0 <= I397 - 1]
74.43/73.63	  f6(I400, I401, I402, I403, I404, I405) -> f6(I406, I401, I402, I403 + 1, I404, I407) [I402 <= 8 /\ I403 <= 8 /\ -1 <= I408 - 1 /\ 0 <= I409 - 1 /\ I403 <= I408 - 1 /\ I406 <= I400 /\ 0 <= I400 - 1 /\ 0 <= I406 - 1]
74.43/73.63	  f6(I410, I411, I412, I413, I414, I415) -> f6(I416, I411, I412, I413 + 1, I414, I417) [I412 <= 8 /\ I413 <= 8 /\ -1 <= I418 - 1 /\ I419 <= -1 /\ I413 <= I418 - 1 /\ I416 <= I410 /\ 0 <= I410 - 1 /\ 0 <= I416 - 1]
74.43/73.63	  f6(I420, I421, I422, I423, I424, I425) -> f4(I426, I421, I422 + 1, I422 + 1, I424, I427) [0 <= I426 - 1 /\ 0 <= I420 - 1 /\ 8 <= I423 - 1 /\ I426 <= I420]
74.43/73.63	  f4(I428, I429, I430, I431, I432, I433) -> f6(I434, I429, I430, 0, I432, I435) [I430 = I431 /\ 0 <= I434 - 1 /\ 0 <= I428 - 1 /\ I430 <= 8 /\ I434 <= I428]
74.43/73.63	  f4(I436, I437, I438, I439, I440, I441) -> f5(I437, I442, I443, I444, I445, I446) [I438 = I439 /\ 0 <= I436 - 1 /\ 1 <= I440 - 1 /\ 8 <= I438 - 1]
74.43/73.63	  f2(I447, I448, I449, I450, I451, I452) -> f4(I453, 0, 0, 0, I449, I454) [0 <= I453 - 1 /\ 0 <= I447 - 1 /\ 8 <= I448 - 1 /\ I453 <= I447]
74.43/73.63	  f3(I455, I456, I457, I458, I459, I460) -> f3(I461, I456, I457 + 1, I458, I462, I463) [I456 <= 8 /\ I457 <= 8 /\ -1 <= I464 - 1 /\ I457 <= I464 - 1 /\ I457 <= I465 - 1 /\ -1 <= I465 - 1 /\ I461 <= I455 /\ 0 <= I455 - 1 /\ 0 <= I461 - 1]
74.43/73.63	  f3(I466, I467, I468, I469, I470, I471) -> f2(I472, I467 + 1, I469, I473, I474, I475) [0 <= I472 - 1 /\ 0 <= I466 - 1 /\ 8 <= I468 - 1 /\ I472 <= I466]
74.43/73.63	  f2(I476, I477, I478, I479, I480, I481) -> f3(I482, I477, 0, I478, I483, I484) [0 <= I482 - 1 /\ 0 <= I476 - 1 /\ I477 <= 8 /\ I482 <= I476]
74.43/73.63	  f1(I485, I486, I487, I488, I489, I490) -> f2(I491, 0, I486, I492, I493, I494) [0 <= I491 - 1 /\ 0 <= I485 - 1 /\ 1 <= I486 - 1 /\ I491 <= I485]
74.43/73.63	
74.43/73.63	We use the reverse value criterion with the projection function NU:
74.43/73.63	  NU[f16#(z1,z2,z3,z4,z5,z6)] = z6 - 1 + -1 * z4
74.43/73.63	
74.43/73.63	This gives the following inequalities:
74.43/73.63	  -1 <= y1 - 1 /\ I3 <= I5 - 1 /\ I2 <= y1 - 1 /\ -1 <= y2 - 1 /\ I3 <= y2 - 1 /\ 0 <= y3 - 1 /\ -1 <= y4 - 1 /\ I2 <= y4 - 1 /\ -1 <= y5 - 1 /\ I3 <= y5 - 1 /\ y6 <= 9 /\ I3 = I4  ==>  I5 - 1 + -1 * I3 > I5 - 1 + -1 * (I3 + 1)  with  I5 - 1 + -1 * I3 >= 0
74.43/73.63	  -1 <= I12 - 1 /\ I9 <= I11 - 1 /\ I8 <= I12 - 1 /\ -1 <= I13 - 1 /\ I9 <= I13 - 1 /\ I14 <= -1 /\ -1 <= I15 - 1 /\ I8 <= I15 - 1 /\ -1 <= I16 - 1 /\ I9 <= I16 - 1 /\ I17 <= 9 /\ I9 = I10  ==>  I11 - 1 + -1 * I9 > I11 - 1 + -1 * (I9 + 1)  with  I11 - 1 + -1 * I9 >= 0
74.43/73.63	  -1 <= I24 - 1 /\ I21 <= I23 - 1 /\ I20 <= I24 - 1 /\ -1 <= I25 - 1 /\ I21 <= I25 - 1 /\ I21 = I22  ==>  I23 - 1 + -1 * I21 > I23 - 1 + -1 * (I21 + 1)  with  I23 - 1 + -1 * I21 >= 0
74.43/73.63	
74.43/73.63	All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed.
74.43/73.63	
74.43/73.63	DP problem for innermost termination.
74.43/73.63	P =
74.43/73.63	  f13#(I40, I41, I42, I43, I44, I45) -> f13#(I40, I41, I42 + 1, I46, I47, I48) [-1 <= I49 - 1 /\ I42 <= 8 /\ I42 <= I49 - 1 /\ -1 <= I50 - 1 /\ I41 <= I50 - 1 /\ 0 <= I51 - 1 /\ -1 <= I52 - 1 /\ I42 <= I52 - 1 /\ -1 <= I53 - 1 /\ I41 <= I53 - 1 /\ I54 <= 9]
74.43/73.63	  f13#(I55, I56, I57, I58, I59, I60) -> f13#(I55, I56, I57 + 1, I61, I62, I63) [-1 <= I64 - 1 /\ I57 <= 8 /\ I57 <= I64 - 1 /\ -1 <= I65 - 1 /\ I56 <= I65 - 1 /\ I66 <= -1 /\ -1 <= I67 - 1 /\ I57 <= I67 - 1 /\ -1 <= I68 - 1 /\ I56 <= I68 - 1 /\ I69 <= 9]
74.43/73.63	  f13#(I70, I71, I72, I73, I74, I75) -> f13#(I70, I71, I72 + 1, I76, I77, I78) [-1 <= I79 - 1 /\ I72 <= 8 /\ I72 <= I79 - 1 /\ -1 <= I80 - 1 /\ I71 <= I80 - 1]
74.43/73.63	R = 
74.43/73.63	  init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
74.43/73.63	  f16(I0, I1, I2, I3, I4, I5) -> f16(I0, I1, I2, I3 + 1, I3 + 1, I5) [-1 <= y1 - 1 /\ I3 <= I5 - 1 /\ I2 <= y1 - 1 /\ -1 <= y2 - 1 /\ I3 <= y2 - 1 /\ 0 <= y3 - 1 /\ -1 <= y4 - 1 /\ I2 <= y4 - 1 /\ -1 <= y5 - 1 /\ I3 <= y5 - 1 /\ y6 <= 9 /\ I3 = I4]
74.43/73.63	  f16(I6, I7, I8, I9, I10, I11) -> f16(I6, I7, I8, I9 + 1, I9 + 1, I11) [-1 <= I12 - 1 /\ I9 <= I11 - 1 /\ I8 <= I12 - 1 /\ -1 <= I13 - 1 /\ I9 <= I13 - 1 /\ I14 <= -1 /\ -1 <= I15 - 1 /\ I8 <= I15 - 1 /\ -1 <= I16 - 1 /\ I9 <= I16 - 1 /\ I17 <= 9 /\ I9 = I10]
74.43/73.63	  f16(I18, I19, I20, I21, I22, I23) -> f16(I18, I19, I20, I21 + 1, I21 + 1, I23) [-1 <= I24 - 1 /\ I21 <= I23 - 1 /\ I20 <= I24 - 1 /\ -1 <= I25 - 1 /\ I21 <= I25 - 1 /\ I21 = I22]
74.43/73.63	  f16(I26, I27, I28, I29, I30, I31) -> f15(I26, I31, I28 + 1, I27, I32, I33) [I29 = I30 /\ I31 <= I29]
74.43/73.63	  f15(I34, I35, I36, I37, I38, I39) -> f16(I34, I37, I36, I34, I34, I35) [I36 <= I37 - 1]
74.43/73.63	  f13(I40, I41, I42, I43, I44, I45) -> f13(I40, I41, I42 + 1, I46, I47, I48) [-1 <= I49 - 1 /\ I42 <= 8 /\ I42 <= I49 - 1 /\ -1 <= I50 - 1 /\ I41 <= I50 - 1 /\ 0 <= I51 - 1 /\ -1 <= I52 - 1 /\ I42 <= I52 - 1 /\ -1 <= I53 - 1 /\ I41 <= I53 - 1 /\ I54 <= 9]
74.43/73.63	  f13(I55, I56, I57, I58, I59, I60) -> f13(I55, I56, I57 + 1, I61, I62, I63) [-1 <= I64 - 1 /\ I57 <= 8 /\ I57 <= I64 - 1 /\ -1 <= I65 - 1 /\ I56 <= I65 - 1 /\ I66 <= -1 /\ -1 <= I67 - 1 /\ I57 <= I67 - 1 /\ -1 <= I68 - 1 /\ I56 <= I68 - 1 /\ I69 <= 9]
74.43/73.63	  f13(I70, I71, I72, I73, I74, I75) -> f13(I70, I71, I72 + 1, I76, I77, I78) [-1 <= I79 - 1 /\ I72 <= 8 /\ I72 <= I79 - 1 /\ -1 <= I80 - 1 /\ I71 <= I80 - 1]
74.43/73.63	  f14(I81, I82, I83, I84, I85, I86) -> f15(I87, I88, I89, I90, I91, I92) [0 <= I81 - 3 * I93 /\ 8 <= I83 - 1 /\ -1 <= I81 - 1 /\ -1 <= I82 - 1 /\ 0 <= I82 - 3 * I94 /\ I81 - 3 * I93 <= 2 /\ I82 - 3 * I94 <= 2 /\ 0 <= I82 - 3 * I95 /\ I82 - 3 * I95 <= 2 /\ 0 <= I82 - 3 * I96 /\ I82 - 3 * I96 <= 2 /\ 0 <= I81 - 3 * I97 /\ I81 - 3 * I97 <= 2 /\ I81 - 3 * I98 <= 2 /\ 0 <= I81 - 3 * I98 /\ I82 - (I82 - 3 * I95) = I87 /\ I82 - (I82 - 3 * I96) + 3 = I88 /\ I81 - (I81 - 3 * I97) = I89 /\ I81 - (I81 - 3 * I98) + 3 = I90]
74.43/73.63	  f13(I99, I100, I101, I102, I103, I104) -> f14(I99, I100, I101, I105, I106, I107) [0 <= I99 - 3 * I108 /\ 8 <= I101 - 1 /\ -1 <= I99 - 1 /\ 0 <= I100 - 3 * I109 /\ -1 <= I100 - 1]
74.43/73.63	  f12(I110, I111, I112, I113, I114, I115) -> f13(I110, I111, 0, I116, I117, I118) [8 <= I112 - 1]
74.43/73.63	  f12(I119, I120, I121, I122, I123, I124) -> f12(I119, I120, I121 + 1, I125, I126, I127) [-1 <= I128 - 1 /\ I121 <= 8 /\ I119 <= I128 - 1 /\ -1 <= I129 - 1 /\ I121 <= I129 - 1 /\ 0 <= I130 - 1 /\ -1 <= I131 - 1 /\ I119 <= I131 - 1 /\ -1 <= I132 - 1 /\ I121 <= I132 - 1 /\ I133 <= 9]
74.43/73.63	  f12(I134, I135, I136, I137, I138, I139) -> f12(I134, I135, I136 + 1, I140, I141, I142) [-1 <= I143 - 1 /\ I136 <= 8 /\ I134 <= I143 - 1 /\ -1 <= I144 - 1 /\ I136 <= I144 - 1 /\ I145 <= -1 /\ -1 <= I146 - 1 /\ I134 <= I146 - 1 /\ -1 <= I147 - 1 /\ I136 <= I147 - 1 /\ I148 <= 9]
74.43/73.63	  f12(I149, I150, I151, I152, I153, I154) -> f12(I149, I150, I151 + 1, I155, I156, I157) [-1 <= I158 - 1 /\ I151 <= 8 /\ I149 <= I158 - 1 /\ -1 <= I159 - 1 /\ I151 <= I159 - 1]
74.43/73.63	  f11(I160, I161, I162, I163, I164, I165) -> f12(I160, I161, 0, I166, I167, I168) [8 <= I162 - 1]
74.43/73.63	  f11(I169, I170, I171, I172, I173, I174) -> f11(I169, I170, I171 + 1, I175, I176, I177) [I171 <= 8]
74.43/73.63	  f8(I178, I179, I180, I181, I182, I183) -> f11(I179, I180, 0, I184, I185, I186) [-1 <= I187 - 1 /\ I180 <= 8 /\ I179 <= I187 - 1 /\ -1 <= I188 - 1 /\ I180 <= I188 - 1 /\ 0 <= I178 - 1]
74.43/73.63	  f7(I189, I190, I191, I192, I193, I194) -> f11(I191, I190, 0, I195, I196, I197) [8 <= I191 - 1 /\ 0 <= I189 - 1]
74.43/73.63	  f10(I198, I199, I200, I201, I202, I203) -> f10(I198, I199, I200, I201 + 1, I204, I205) [0 <= I206 - 1 /\ I201 <= 8 /\ -1 <= I207 - 1 /\ I199 <= I207 - 1 /\ -1 <= I201 - 1 /\ -1 <= I208 - 1 /\ I200 <= I208 - 1 /\ 0 <= I198 - 1 /\ I198 - 1 <= I198 - 1 /\ -1 <= I209 - 1 /\ I199 <= I209 - 1 /\ -1 <= I210 - 1 /\ I200 <= I210 - 1]
74.43/73.63	  f10(I211, I212, I213, I214, I215, I216) -> f10(I211, I212, I213, I214 + 1, I217, I218) [I219 <= -1 /\ I214 <= 8 /\ -1 <= I220 - 1 /\ I212 <= I220 - 1 /\ -1 <= I214 - 1 /\ -1 <= I221 - 1 /\ I213 <= I221 - 1 /\ 0 <= I211 - 1 /\ I211 - 1 <= I211 - 1 /\ -1 <= I222 - 1 /\ I212 <= I222 - 1 /\ -1 <= I223 - 1 /\ I213 <= I223 - 1]
74.43/73.63	  f9(I224, I225, I226, I227, I228, I229) -> f9(I224, I225, I226, I227 + 1, I230, I231) [0 <= I232 - 1 /\ I227 <= 8 /\ -1 <= I233 - 1 /\ I225 <= I233 - 1 /\ -1 <= I227 - 1 /\ -1 <= I234 - 1 /\ I226 <= I234 - 1 /\ 1 <= I225 - 1 /\ 0 <= I224 - 1 /\ I224 - 1 <= I224 - 1 /\ -1 <= I235 - 1 /\ I225 <= I235 - 1 /\ -1 <= I236 - 1 /\ I226 <= I236 - 1]
74.43/73.63	  f9(I237, I238, I239, I240, I241, I242) -> f9(I237, I238, I239, I240 + 1, I243, I244) [I245 <= -1 /\ I240 <= 8 /\ -1 <= I246 - 1 /\ I238 <= I246 - 1 /\ -1 <= I240 - 1 /\ -1 <= I247 - 1 /\ I239 <= I247 - 1 /\ 1 <= I238 - 1 /\ 0 <= I237 - 1 /\ I237 - 1 <= I237 - 1 /\ -1 <= I248 - 1 /\ I238 <= I248 - 1 /\ -1 <= I249 - 1 /\ I239 <= I249 - 1]
74.43/73.63	  f10(I250, I251, I252, I253, I254, I255) -> f5(I250 - 1, I256, I257, I258, I259, I260) [0 <= I261 - 1 /\ I253 <= 8 /\ -1 <= I262 - 1 /\ I251 <= I262 - 1 /\ -1 <= I253 - 1 /\ -1 <= I263 - 1 /\ I252 <= I263 - 1 /\ I250 - 1 <= I250 - 1 /\ 0 <= I250 - 1]
74.43/73.63	  f10(I264, I265, I266, I267, I268, I269) -> f5(I264 - 1, I270, I271, I272, I273, I274) [I275 <= -1 /\ I267 <= 8 /\ -1 <= I276 - 1 /\ I265 <= I276 - 1 /\ -1 <= I267 - 1 /\ -1 <= I277 - 1 /\ I266 <= I277 - 1 /\ I264 - 1 <= I264 - 1 /\ 0 <= I264 - 1]
74.43/73.63	  f9(I278, I279, I280, I281, I282, I283) -> f5(I278 - 1, I284, I285, I286, I287, I288) [0 <= I289 - 1 /\ I281 <= 8 /\ -1 <= I290 - 1 /\ I279 <= I290 - 1 /\ -1 <= I281 - 1 /\ -1 <= I291 - 1 /\ I280 <= I291 - 1 /\ 1 <= I279 - 1 /\ I278 - 1 <= I278 - 1 /\ 0 <= I278 - 1]
74.43/73.63	  f9(I292, I293, I294, I295, I296, I297) -> f5(I292 - 1, I298, I299, I300, I301, I302) [I303 <= -1 /\ I295 <= 8 /\ -1 <= I304 - 1 /\ I293 <= I304 - 1 /\ -1 <= I295 - 1 /\ -1 <= I305 - 1 /\ I294 <= I305 - 1 /\ 1 <= I293 - 1 /\ I292 - 1 <= I292 - 1 /\ 0 <= I292 - 1]
74.43/73.63	  f10(I306, I307, I308, I309, I310, I311) -> f10(I306, I307, I308, I309 + 1, I312, I313) [I309 <= 8]
74.43/73.63	  f9(I314, I315, I316, I317, I318, I319) -> f9(I314, I315, I316, I317 + 1, I320, I321) [I317 <= 8]
74.43/73.63	  f8(I322, I323, I324, I325, I326, I327) -> f10(I322, I323, I324, 0, I328, I329) [-1 <= I330 - 1 /\ I324 <= 8 /\ I323 <= I330 - 1 /\ -1 <= I331 - 1 /\ I324 <= I331 - 1 /\ 0 <= I322 - 1]
74.43/73.63	  f7(I332, I333, I334, I335, I336, I337) -> f9(I332, I334, I333, 0, I338, I339) [8 <= I334 - 1 /\ 0 <= I332 - 1]
74.43/73.63	  f8(I340, I341, I342, I343, I344, I345) -> f8(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.63	  f8(I352, I353, I354, I355, I356, I357) -> f8(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.63	  f8(I364, I365, I366, I367, I368, I369) -> f7(I364, I366, I365 + 1, I370, I371, I372) [8 <= I366 - 1]
74.43/73.63	  f7(I373, I374, I375, I376, I377, I378) -> f8(I373, I375, 0, I379, I380, I381) [I375 <= 8]
74.43/73.63	  f5(I382, I383, I384, I385, I386, I387) -> f7(I382, 0, 0, I388, I389, I390) [0 <= I382 - 1]
74.43/73.63	  f6(I391, I392, I393, I394, I395, I396) -> f6(I397, I392 + 1, I393, I394 + 1, I395, I398) [I393 <= 8 /\ I394 <= 8 /\ I394 <= I399 - 1 /\ -1 <= I399 - 1 /\ I397 <= I391 /\ 0 <= I391 - 1 /\ 0 <= I397 - 1]
74.43/73.63	  f6(I400, I401, I402, I403, I404, I405) -> f6(I406, I401, I402, I403 + 1, I404, I407) [I402 <= 8 /\ I403 <= 8 /\ -1 <= I408 - 1 /\ 0 <= I409 - 1 /\ I403 <= I408 - 1 /\ I406 <= I400 /\ 0 <= I400 - 1 /\ 0 <= I406 - 1]
74.43/73.63	  f6(I410, I411, I412, I413, I414, I415) -> f6(I416, I411, I412, I413 + 1, I414, I417) [I412 <= 8 /\ I413 <= 8 /\ -1 <= I418 - 1 /\ I419 <= -1 /\ I413 <= I418 - 1 /\ I416 <= I410 /\ 0 <= I410 - 1 /\ 0 <= I416 - 1]
74.43/73.63	  f6(I420, I421, I422, I423, I424, I425) -> f4(I426, I421, I422 + 1, I422 + 1, I424, I427) [0 <= I426 - 1 /\ 0 <= I420 - 1 /\ 8 <= I423 - 1 /\ I426 <= I420]
74.43/73.63	  f4(I428, I429, I430, I431, I432, I433) -> f6(I434, I429, I430, 0, I432, I435) [I430 = I431 /\ 0 <= I434 - 1 /\ 0 <= I428 - 1 /\ I430 <= 8 /\ I434 <= I428]
74.43/73.63	  f4(I436, I437, I438, I439, I440, I441) -> f5(I437, I442, I443, I444, I445, I446) [I438 = I439 /\ 0 <= I436 - 1 /\ 1 <= I440 - 1 /\ 8 <= I438 - 1]
74.43/73.63	  f2(I447, I448, I449, I450, I451, I452) -> f4(I453, 0, 0, 0, I449, I454) [0 <= I453 - 1 /\ 0 <= I447 - 1 /\ 8 <= I448 - 1 /\ I453 <= I447]
74.43/73.63	  f3(I455, I456, I457, I458, I459, I460) -> f3(I461, I456, I457 + 1, I458, I462, I463) [I456 <= 8 /\ I457 <= 8 /\ -1 <= I464 - 1 /\ I457 <= I464 - 1 /\ I457 <= I465 - 1 /\ -1 <= I465 - 1 /\ I461 <= I455 /\ 0 <= I455 - 1 /\ 0 <= I461 - 1]
74.43/73.63	  f3(I466, I467, I468, I469, I470, I471) -> f2(I472, I467 + 1, I469, I473, I474, I475) [0 <= I472 - 1 /\ 0 <= I466 - 1 /\ 8 <= I468 - 1 /\ I472 <= I466]
74.43/73.63	  f2(I476, I477, I478, I479, I480, I481) -> f3(I482, I477, 0, I478, I483, I484) [0 <= I482 - 1 /\ 0 <= I476 - 1 /\ I477 <= 8 /\ I482 <= I476]
74.43/73.63	  f1(I485, I486, I487, I488, I489, I490) -> f2(I491, 0, I486, I492, I493, I494) [0 <= I491 - 1 /\ 0 <= I485 - 1 /\ 1 <= I486 - 1 /\ I491 <= I485]
74.43/73.63	
74.43/73.63	We use the reverse value criterion with the projection function NU:
74.43/73.63	  NU[f13#(z1,z2,z3,z4,z5,z6)] = 8 + -1 * z3
74.43/73.63	
74.43/73.63	This gives the following inequalities:
74.43/73.63	  -1 <= I49 - 1 /\ I42 <= 8 /\ I42 <= I49 - 1 /\ -1 <= I50 - 1 /\ I41 <= I50 - 1 /\ 0 <= I51 - 1 /\ -1 <= I52 - 1 /\ I42 <= I52 - 1 /\ -1 <= I53 - 1 /\ I41 <= I53 - 1 /\ I54 <= 9  ==>  8 + -1 * I42 > 8 + -1 * (I42 + 1)  with  8 + -1 * I42 >= 0
74.43/73.63	  -1 <= I64 - 1 /\ I57 <= 8 /\ I57 <= I64 - 1 /\ -1 <= I65 - 1 /\ I56 <= I65 - 1 /\ I66 <= -1 /\ -1 <= I67 - 1 /\ I57 <= I67 - 1 /\ -1 <= I68 - 1 /\ I56 <= I68 - 1 /\ I69 <= 9  ==>  8 + -1 * I57 > 8 + -1 * (I57 + 1)  with  8 + -1 * I57 >= 0
74.43/73.63	  -1 <= I79 - 1 /\ I72 <= 8 /\ I72 <= I79 - 1 /\ -1 <= I80 - 1 /\ I71 <= I80 - 1  ==>  8 + -1 * I72 > 8 + -1 * (I72 + 1)  with  8 + -1 * I72 >= 0
74.43/73.63	
74.43/73.63	All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed.
74.43/73.63	
74.43/73.63	DP problem for innermost termination.
74.43/73.63	P =
74.43/73.63	  f12#(I119, I120, I121, I122, I123, I124) -> f12#(I119, I120, I121 + 1, I125, I126, I127) [-1 <= I128 - 1 /\ I121 <= 8 /\ I119 <= I128 - 1 /\ -1 <= I129 - 1 /\ I121 <= I129 - 1 /\ 0 <= I130 - 1 /\ -1 <= I131 - 1 /\ I119 <= I131 - 1 /\ -1 <= I132 - 1 /\ I121 <= I132 - 1 /\ I133 <= 9]
74.43/73.63	  f12#(I134, I135, I136, I137, I138, I139) -> f12#(I134, I135, I136 + 1, I140, I141, I142) [-1 <= I143 - 1 /\ I136 <= 8 /\ I134 <= I143 - 1 /\ -1 <= I144 - 1 /\ I136 <= I144 - 1 /\ I145 <= -1 /\ -1 <= I146 - 1 /\ I134 <= I146 - 1 /\ -1 <= I147 - 1 /\ I136 <= I147 - 1 /\ I148 <= 9]
74.43/73.63	  f12#(I149, I150, I151, I152, I153, I154) -> f12#(I149, I150, I151 + 1, I155, I156, I157) [-1 <= I158 - 1 /\ I151 <= 8 /\ I149 <= I158 - 1 /\ -1 <= I159 - 1 /\ I151 <= I159 - 1]
74.43/73.63	R = 
74.43/73.63	  init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
74.43/73.63	  f16(I0, I1, I2, I3, I4, I5) -> f16(I0, I1, I2, I3 + 1, I3 + 1, I5) [-1 <= y1 - 1 /\ I3 <= I5 - 1 /\ I2 <= y1 - 1 /\ -1 <= y2 - 1 /\ I3 <= y2 - 1 /\ 0 <= y3 - 1 /\ -1 <= y4 - 1 /\ I2 <= y4 - 1 /\ -1 <= y5 - 1 /\ I3 <= y5 - 1 /\ y6 <= 9 /\ I3 = I4]
74.43/73.63	  f16(I6, I7, I8, I9, I10, I11) -> f16(I6, I7, I8, I9 + 1, I9 + 1, I11) [-1 <= I12 - 1 /\ I9 <= I11 - 1 /\ I8 <= I12 - 1 /\ -1 <= I13 - 1 /\ I9 <= I13 - 1 /\ I14 <= -1 /\ -1 <= I15 - 1 /\ I8 <= I15 - 1 /\ -1 <= I16 - 1 /\ I9 <= I16 - 1 /\ I17 <= 9 /\ I9 = I10]
74.43/73.63	  f16(I18, I19, I20, I21, I22, I23) -> f16(I18, I19, I20, I21 + 1, I21 + 1, I23) [-1 <= I24 - 1 /\ I21 <= I23 - 1 /\ I20 <= I24 - 1 /\ -1 <= I25 - 1 /\ I21 <= I25 - 1 /\ I21 = I22]
74.43/73.63	  f16(I26, I27, I28, I29, I30, I31) -> f15(I26, I31, I28 + 1, I27, I32, I33) [I29 = I30 /\ I31 <= I29]
74.43/73.63	  f15(I34, I35, I36, I37, I38, I39) -> f16(I34, I37, I36, I34, I34, I35) [I36 <= I37 - 1]
74.43/73.63	  f13(I40, I41, I42, I43, I44, I45) -> f13(I40, I41, I42 + 1, I46, I47, I48) [-1 <= I49 - 1 /\ I42 <= 8 /\ I42 <= I49 - 1 /\ -1 <= I50 - 1 /\ I41 <= I50 - 1 /\ 0 <= I51 - 1 /\ -1 <= I52 - 1 /\ I42 <= I52 - 1 /\ -1 <= I53 - 1 /\ I41 <= I53 - 1 /\ I54 <= 9]
74.43/73.63	  f13(I55, I56, I57, I58, I59, I60) -> f13(I55, I56, I57 + 1, I61, I62, I63) [-1 <= I64 - 1 /\ I57 <= 8 /\ I57 <= I64 - 1 /\ -1 <= I65 - 1 /\ I56 <= I65 - 1 /\ I66 <= -1 /\ -1 <= I67 - 1 /\ I57 <= I67 - 1 /\ -1 <= I68 - 1 /\ I56 <= I68 - 1 /\ I69 <= 9]
74.43/73.63	  f13(I70, I71, I72, I73, I74, I75) -> f13(I70, I71, I72 + 1, I76, I77, I78) [-1 <= I79 - 1 /\ I72 <= 8 /\ I72 <= I79 - 1 /\ -1 <= I80 - 1 /\ I71 <= I80 - 1]
74.43/73.63	  f14(I81, I82, I83, I84, I85, I86) -> f15(I87, I88, I89, I90, I91, I92) [0 <= I81 - 3 * I93 /\ 8 <= I83 - 1 /\ -1 <= I81 - 1 /\ -1 <= I82 - 1 /\ 0 <= I82 - 3 * I94 /\ I81 - 3 * I93 <= 2 /\ I82 - 3 * I94 <= 2 /\ 0 <= I82 - 3 * I95 /\ I82 - 3 * I95 <= 2 /\ 0 <= I82 - 3 * I96 /\ I82 - 3 * I96 <= 2 /\ 0 <= I81 - 3 * I97 /\ I81 - 3 * I97 <= 2 /\ I81 - 3 * I98 <= 2 /\ 0 <= I81 - 3 * I98 /\ I82 - (I82 - 3 * I95) = I87 /\ I82 - (I82 - 3 * I96) + 3 = I88 /\ I81 - (I81 - 3 * I97) = I89 /\ I81 - (I81 - 3 * I98) + 3 = I90]
74.43/73.63	  f13(I99, I100, I101, I102, I103, I104) -> f14(I99, I100, I101, I105, I106, I107) [0 <= I99 - 3 * I108 /\ 8 <= I101 - 1 /\ -1 <= I99 - 1 /\ 0 <= I100 - 3 * I109 /\ -1 <= I100 - 1]
74.43/73.63	  f12(I110, I111, I112, I113, I114, I115) -> f13(I110, I111, 0, I116, I117, I118) [8 <= I112 - 1]
74.43/73.63	  f12(I119, I120, I121, I122, I123, I124) -> f12(I119, I120, I121 + 1, I125, I126, I127) [-1 <= I128 - 1 /\ I121 <= 8 /\ I119 <= I128 - 1 /\ -1 <= I129 - 1 /\ I121 <= I129 - 1 /\ 0 <= I130 - 1 /\ -1 <= I131 - 1 /\ I119 <= I131 - 1 /\ -1 <= I132 - 1 /\ I121 <= I132 - 1 /\ I133 <= 9]
74.43/73.63	  f12(I134, I135, I136, I137, I138, I139) -> f12(I134, I135, I136 + 1, I140, I141, I142) [-1 <= I143 - 1 /\ I136 <= 8 /\ I134 <= I143 - 1 /\ -1 <= I144 - 1 /\ I136 <= I144 - 1 /\ I145 <= -1 /\ -1 <= I146 - 1 /\ I134 <= I146 - 1 /\ -1 <= I147 - 1 /\ I136 <= I147 - 1 /\ I148 <= 9]
74.43/73.63	  f12(I149, I150, I151, I152, I153, I154) -> f12(I149, I150, I151 + 1, I155, I156, I157) [-1 <= I158 - 1 /\ I151 <= 8 /\ I149 <= I158 - 1 /\ -1 <= I159 - 1 /\ I151 <= I159 - 1]
74.43/73.63	  f11(I160, I161, I162, I163, I164, I165) -> f12(I160, I161, 0, I166, I167, I168) [8 <= I162 - 1]
74.43/73.63	  f11(I169, I170, I171, I172, I173, I174) -> f11(I169, I170, I171 + 1, I175, I176, I177) [I171 <= 8]
74.43/73.63	  f8(I178, I179, I180, I181, I182, I183) -> f11(I179, I180, 0, I184, I185, I186) [-1 <= I187 - 1 /\ I180 <= 8 /\ I179 <= I187 - 1 /\ -1 <= I188 - 1 /\ I180 <= I188 - 1 /\ 0 <= I178 - 1]
74.43/73.63	  f7(I189, I190, I191, I192, I193, I194) -> f11(I191, I190, 0, I195, I196, I197) [8 <= I191 - 1 /\ 0 <= I189 - 1]
74.43/73.63	  f10(I198, I199, I200, I201, I202, I203) -> f10(I198, I199, I200, I201 + 1, I204, I205) [0 <= I206 - 1 /\ I201 <= 8 /\ -1 <= I207 - 1 /\ I199 <= I207 - 1 /\ -1 <= I201 - 1 /\ -1 <= I208 - 1 /\ I200 <= I208 - 1 /\ 0 <= I198 - 1 /\ I198 - 1 <= I198 - 1 /\ -1 <= I209 - 1 /\ I199 <= I209 - 1 /\ -1 <= I210 - 1 /\ I200 <= I210 - 1]
74.43/73.63	  f10(I211, I212, I213, I214, I215, I216) -> f10(I211, I212, I213, I214 + 1, I217, I218) [I219 <= -1 /\ I214 <= 8 /\ -1 <= I220 - 1 /\ I212 <= I220 - 1 /\ -1 <= I214 - 1 /\ -1 <= I221 - 1 /\ I213 <= I221 - 1 /\ 0 <= I211 - 1 /\ I211 - 1 <= I211 - 1 /\ -1 <= I222 - 1 /\ I212 <= I222 - 1 /\ -1 <= I223 - 1 /\ I213 <= I223 - 1]
74.43/73.63	  f9(I224, I225, I226, I227, I228, I229) -> f9(I224, I225, I226, I227 + 1, I230, I231) [0 <= I232 - 1 /\ I227 <= 8 /\ -1 <= I233 - 1 /\ I225 <= I233 - 1 /\ -1 <= I227 - 1 /\ -1 <= I234 - 1 /\ I226 <= I234 - 1 /\ 1 <= I225 - 1 /\ 0 <= I224 - 1 /\ I224 - 1 <= I224 - 1 /\ -1 <= I235 - 1 /\ I225 <= I235 - 1 /\ -1 <= I236 - 1 /\ I226 <= I236 - 1]
74.43/73.63	  f9(I237, I238, I239, I240, I241, I242) -> f9(I237, I238, I239, I240 + 1, I243, I244) [I245 <= -1 /\ I240 <= 8 /\ -1 <= I246 - 1 /\ I238 <= I246 - 1 /\ -1 <= I240 - 1 /\ -1 <= I247 - 1 /\ I239 <= I247 - 1 /\ 1 <= I238 - 1 /\ 0 <= I237 - 1 /\ I237 - 1 <= I237 - 1 /\ -1 <= I248 - 1 /\ I238 <= I248 - 1 /\ -1 <= I249 - 1 /\ I239 <= I249 - 1]
74.43/73.63	  f10(I250, I251, I252, I253, I254, I255) -> f5(I250 - 1, I256, I257, I258, I259, I260) [0 <= I261 - 1 /\ I253 <= 8 /\ -1 <= I262 - 1 /\ I251 <= I262 - 1 /\ -1 <= I253 - 1 /\ -1 <= I263 - 1 /\ I252 <= I263 - 1 /\ I250 - 1 <= I250 - 1 /\ 0 <= I250 - 1]
74.43/73.63	  f10(I264, I265, I266, I267, I268, I269) -> f5(I264 - 1, I270, I271, I272, I273, I274) [I275 <= -1 /\ I267 <= 8 /\ -1 <= I276 - 1 /\ I265 <= I276 - 1 /\ -1 <= I267 - 1 /\ -1 <= I277 - 1 /\ I266 <= I277 - 1 /\ I264 - 1 <= I264 - 1 /\ 0 <= I264 - 1]
74.43/73.63	  f9(I278, I279, I280, I281, I282, I283) -> f5(I278 - 1, I284, I285, I286, I287, I288) [0 <= I289 - 1 /\ I281 <= 8 /\ -1 <= I290 - 1 /\ I279 <= I290 - 1 /\ -1 <= I281 - 1 /\ -1 <= I291 - 1 /\ I280 <= I291 - 1 /\ 1 <= I279 - 1 /\ I278 - 1 <= I278 - 1 /\ 0 <= I278 - 1]
74.43/73.63	  f9(I292, I293, I294, I295, I296, I297) -> f5(I292 - 1, I298, I299, I300, I301, I302) [I303 <= -1 /\ I295 <= 8 /\ -1 <= I304 - 1 /\ I293 <= I304 - 1 /\ -1 <= I295 - 1 /\ -1 <= I305 - 1 /\ I294 <= I305 - 1 /\ 1 <= I293 - 1 /\ I292 - 1 <= I292 - 1 /\ 0 <= I292 - 1]
74.43/73.63	  f10(I306, I307, I308, I309, I310, I311) -> f10(I306, I307, I308, I309 + 1, I312, I313) [I309 <= 8]
74.43/73.63	  f9(I314, I315, I316, I317, I318, I319) -> f9(I314, I315, I316, I317 + 1, I320, I321) [I317 <= 8]
74.43/73.63	  f8(I322, I323, I324, I325, I326, I327) -> f10(I322, I323, I324, 0, I328, I329) [-1 <= I330 - 1 /\ I324 <= 8 /\ I323 <= I330 - 1 /\ -1 <= I331 - 1 /\ I324 <= I331 - 1 /\ 0 <= I322 - 1]
74.43/73.63	  f7(I332, I333, I334, I335, I336, I337) -> f9(I332, I334, I333, 0, I338, I339) [8 <= I334 - 1 /\ 0 <= I332 - 1]
74.43/73.63	  f8(I340, I341, I342, I343, I344, I345) -> f8(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.63	  f8(I352, I353, I354, I355, I356, I357) -> f8(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.63	  f8(I364, I365, I366, I367, I368, I369) -> f7(I364, I366, I365 + 1, I370, I371, I372) [8 <= I366 - 1]
74.43/73.63	  f7(I373, I374, I375, I376, I377, I378) -> f8(I373, I375, 0, I379, I380, I381) [I375 <= 8]
74.43/73.63	  f5(I382, I383, I384, I385, I386, I387) -> f7(I382, 0, 0, I388, I389, I390) [0 <= I382 - 1]
74.43/73.63	  f6(I391, I392, I393, I394, I395, I396) -> f6(I397, I392 + 1, I393, I394 + 1, I395, I398) [I393 <= 8 /\ I394 <= 8 /\ I394 <= I399 - 1 /\ -1 <= I399 - 1 /\ I397 <= I391 /\ 0 <= I391 - 1 /\ 0 <= I397 - 1]
74.43/73.63	  f6(I400, I401, I402, I403, I404, I405) -> f6(I406, I401, I402, I403 + 1, I404, I407) [I402 <= 8 /\ I403 <= 8 /\ -1 <= I408 - 1 /\ 0 <= I409 - 1 /\ I403 <= I408 - 1 /\ I406 <= I400 /\ 0 <= I400 - 1 /\ 0 <= I406 - 1]
74.43/73.63	  f6(I410, I411, I412, I413, I414, I415) -> f6(I416, I411, I412, I413 + 1, I414, I417) [I412 <= 8 /\ I413 <= 8 /\ -1 <= I418 - 1 /\ I419 <= -1 /\ I413 <= I418 - 1 /\ I416 <= I410 /\ 0 <= I410 - 1 /\ 0 <= I416 - 1]
74.43/73.63	  f6(I420, I421, I422, I423, I424, I425) -> f4(I426, I421, I422 + 1, I422 + 1, I424, I427) [0 <= I426 - 1 /\ 0 <= I420 - 1 /\ 8 <= I423 - 1 /\ I426 <= I420]
74.43/73.63	  f4(I428, I429, I430, I431, I432, I433) -> f6(I434, I429, I430, 0, I432, I435) [I430 = I431 /\ 0 <= I434 - 1 /\ 0 <= I428 - 1 /\ I430 <= 8 /\ I434 <= I428]
74.43/73.63	  f4(I436, I437, I438, I439, I440, I441) -> f5(I437, I442, I443, I444, I445, I446) [I438 = I439 /\ 0 <= I436 - 1 /\ 1 <= I440 - 1 /\ 8 <= I438 - 1]
74.43/73.63	  f2(I447, I448, I449, I450, I451, I452) -> f4(I453, 0, 0, 0, I449, I454) [0 <= I453 - 1 /\ 0 <= I447 - 1 /\ 8 <= I448 - 1 /\ I453 <= I447]
74.43/73.63	  f3(I455, I456, I457, I458, I459, I460) -> f3(I461, I456, I457 + 1, I458, I462, I463) [I456 <= 8 /\ I457 <= 8 /\ -1 <= I464 - 1 /\ I457 <= I464 - 1 /\ I457 <= I465 - 1 /\ -1 <= I465 - 1 /\ I461 <= I455 /\ 0 <= I455 - 1 /\ 0 <= I461 - 1]
74.43/73.63	  f3(I466, I467, I468, I469, I470, I471) -> f2(I472, I467 + 1, I469, I473, I474, I475) [0 <= I472 - 1 /\ 0 <= I466 - 1 /\ 8 <= I468 - 1 /\ I472 <= I466]
74.43/73.63	  f2(I476, I477, I478, I479, I480, I481) -> f3(I482, I477, 0, I478, I483, I484) [0 <= I482 - 1 /\ 0 <= I476 - 1 /\ I477 <= 8 /\ I482 <= I476]
74.43/73.63	  f1(I485, I486, I487, I488, I489, I490) -> f2(I491, 0, I486, I492, I493, I494) [0 <= I491 - 1 /\ 0 <= I485 - 1 /\ 1 <= I486 - 1 /\ I491 <= I485]
74.43/73.63	
74.43/73.63	We use the reverse value criterion with the projection function NU:
74.43/73.63	  NU[f12#(z1,z2,z3,z4,z5,z6)] = 8 + -1 * z3
74.43/73.63	
74.43/73.63	This gives the following inequalities:
74.43/73.63	  -1 <= I128 - 1 /\ I121 <= 8 /\ I119 <= I128 - 1 /\ -1 <= I129 - 1 /\ I121 <= I129 - 1 /\ 0 <= I130 - 1 /\ -1 <= I131 - 1 /\ I119 <= I131 - 1 /\ -1 <= I132 - 1 /\ I121 <= I132 - 1 /\ I133 <= 9  ==>  8 + -1 * I121 > 8 + -1 * (I121 + 1)  with  8 + -1 * I121 >= 0
74.43/73.63	  -1 <= I143 - 1 /\ I136 <= 8 /\ I134 <= I143 - 1 /\ -1 <= I144 - 1 /\ I136 <= I144 - 1 /\ I145 <= -1 /\ -1 <= I146 - 1 /\ I134 <= I146 - 1 /\ -1 <= I147 - 1 /\ I136 <= I147 - 1 /\ I148 <= 9  ==>  8 + -1 * I136 > 8 + -1 * (I136 + 1)  with  8 + -1 * I136 >= 0
74.43/73.63	  -1 <= I158 - 1 /\ I151 <= 8 /\ I149 <= I158 - 1 /\ -1 <= I159 - 1 /\ I151 <= I159 - 1  ==>  8 + -1 * I151 > 8 + -1 * (I151 + 1)  with  8 + -1 * I151 >= 0
74.43/73.63	
74.43/73.63	All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed.
74.43/73.63	
74.43/73.63	DP problem for innermost termination.
74.43/73.63	P =
74.43/73.63	  f11#(I169, I170, I171, I172, I173, I174) -> f11#(I169, I170, I171 + 1, I175, I176, I177) [I171 <= 8]
74.43/73.63	R = 
74.43/73.63	  init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
74.43/73.63	  f16(I0, I1, I2, I3, I4, I5) -> f16(I0, I1, I2, I3 + 1, I3 + 1, I5) [-1 <= y1 - 1 /\ I3 <= I5 - 1 /\ I2 <= y1 - 1 /\ -1 <= y2 - 1 /\ I3 <= y2 - 1 /\ 0 <= y3 - 1 /\ -1 <= y4 - 1 /\ I2 <= y4 - 1 /\ -1 <= y5 - 1 /\ I3 <= y5 - 1 /\ y6 <= 9 /\ I3 = I4]
74.43/73.63	  f16(I6, I7, I8, I9, I10, I11) -> f16(I6, I7, I8, I9 + 1, I9 + 1, I11) [-1 <= I12 - 1 /\ I9 <= I11 - 1 /\ I8 <= I12 - 1 /\ -1 <= I13 - 1 /\ I9 <= I13 - 1 /\ I14 <= -1 /\ -1 <= I15 - 1 /\ I8 <= I15 - 1 /\ -1 <= I16 - 1 /\ I9 <= I16 - 1 /\ I17 <= 9 /\ I9 = I10]
74.43/73.63	  f16(I18, I19, I20, I21, I22, I23) -> f16(I18, I19, I20, I21 + 1, I21 + 1, I23) [-1 <= I24 - 1 /\ I21 <= I23 - 1 /\ I20 <= I24 - 1 /\ -1 <= I25 - 1 /\ I21 <= I25 - 1 /\ I21 = I22]
74.43/73.63	  f16(I26, I27, I28, I29, I30, I31) -> f15(I26, I31, I28 + 1, I27, I32, I33) [I29 = I30 /\ I31 <= I29]
74.43/73.63	  f15(I34, I35, I36, I37, I38, I39) -> f16(I34, I37, I36, I34, I34, I35) [I36 <= I37 - 1]
74.43/73.63	  f13(I40, I41, I42, I43, I44, I45) -> f13(I40, I41, I42 + 1, I46, I47, I48) [-1 <= I49 - 1 /\ I42 <= 8 /\ I42 <= I49 - 1 /\ -1 <= I50 - 1 /\ I41 <= I50 - 1 /\ 0 <= I51 - 1 /\ -1 <= I52 - 1 /\ I42 <= I52 - 1 /\ -1 <= I53 - 1 /\ I41 <= I53 - 1 /\ I54 <= 9]
74.43/73.63	  f13(I55, I56, I57, I58, I59, I60) -> f13(I55, I56, I57 + 1, I61, I62, I63) [-1 <= I64 - 1 /\ I57 <= 8 /\ I57 <= I64 - 1 /\ -1 <= I65 - 1 /\ I56 <= I65 - 1 /\ I66 <= -1 /\ -1 <= I67 - 1 /\ I57 <= I67 - 1 /\ -1 <= I68 - 1 /\ I56 <= I68 - 1 /\ I69 <= 9]
74.43/73.63	  f13(I70, I71, I72, I73, I74, I75) -> f13(I70, I71, I72 + 1, I76, I77, I78) [-1 <= I79 - 1 /\ I72 <= 8 /\ I72 <= I79 - 1 /\ -1 <= I80 - 1 /\ I71 <= I80 - 1]
74.43/73.63	  f14(I81, I82, I83, I84, I85, I86) -> f15(I87, I88, I89, I90, I91, I92) [0 <= I81 - 3 * I93 /\ 8 <= I83 - 1 /\ -1 <= I81 - 1 /\ -1 <= I82 - 1 /\ 0 <= I82 - 3 * I94 /\ I81 - 3 * I93 <= 2 /\ I82 - 3 * I94 <= 2 /\ 0 <= I82 - 3 * I95 /\ I82 - 3 * I95 <= 2 /\ 0 <= I82 - 3 * I96 /\ I82 - 3 * I96 <= 2 /\ 0 <= I81 - 3 * I97 /\ I81 - 3 * I97 <= 2 /\ I81 - 3 * I98 <= 2 /\ 0 <= I81 - 3 * I98 /\ I82 - (I82 - 3 * I95) = I87 /\ I82 - (I82 - 3 * I96) + 3 = I88 /\ I81 - (I81 - 3 * I97) = I89 /\ I81 - (I81 - 3 * I98) + 3 = I90]
74.43/73.63	  f13(I99, I100, I101, I102, I103, I104) -> f14(I99, I100, I101, I105, I106, I107) [0 <= I99 - 3 * I108 /\ 8 <= I101 - 1 /\ -1 <= I99 - 1 /\ 0 <= I100 - 3 * I109 /\ -1 <= I100 - 1]
74.43/73.63	  f12(I110, I111, I112, I113, I114, I115) -> f13(I110, I111, 0, I116, I117, I118) [8 <= I112 - 1]
74.43/73.63	  f12(I119, I120, I121, I122, I123, I124) -> f12(I119, I120, I121 + 1, I125, I126, I127) [-1 <= I128 - 1 /\ I121 <= 8 /\ I119 <= I128 - 1 /\ -1 <= I129 - 1 /\ I121 <= I129 - 1 /\ 0 <= I130 - 1 /\ -1 <= I131 - 1 /\ I119 <= I131 - 1 /\ -1 <= I132 - 1 /\ I121 <= I132 - 1 /\ I133 <= 9]
74.43/73.63	  f12(I134, I135, I136, I137, I138, I139) -> f12(I134, I135, I136 + 1, I140, I141, I142) [-1 <= I143 - 1 /\ I136 <= 8 /\ I134 <= I143 - 1 /\ -1 <= I144 - 1 /\ I136 <= I144 - 1 /\ I145 <= -1 /\ -1 <= I146 - 1 /\ I134 <= I146 - 1 /\ -1 <= I147 - 1 /\ I136 <= I147 - 1 /\ I148 <= 9]
74.43/73.63	  f12(I149, I150, I151, I152, I153, I154) -> f12(I149, I150, I151 + 1, I155, I156, I157) [-1 <= I158 - 1 /\ I151 <= 8 /\ I149 <= I158 - 1 /\ -1 <= I159 - 1 /\ I151 <= I159 - 1]
74.43/73.63	  f11(I160, I161, I162, I163, I164, I165) -> f12(I160, I161, 0, I166, I167, I168) [8 <= I162 - 1]
74.43/73.63	  f11(I169, I170, I171, I172, I173, I174) -> f11(I169, I170, I171 + 1, I175, I176, I177) [I171 <= 8]
74.43/73.63	  f8(I178, I179, I180, I181, I182, I183) -> f11(I179, I180, 0, I184, I185, I186) [-1 <= I187 - 1 /\ I180 <= 8 /\ I179 <= I187 - 1 /\ -1 <= I188 - 1 /\ I180 <= I188 - 1 /\ 0 <= I178 - 1]
74.43/73.63	  f7(I189, I190, I191, I192, I193, I194) -> f11(I191, I190, 0, I195, I196, I197) [8 <= I191 - 1 /\ 0 <= I189 - 1]
74.43/73.63	  f10(I198, I199, I200, I201, I202, I203) -> f10(I198, I199, I200, I201 + 1, I204, I205) [0 <= I206 - 1 /\ I201 <= 8 /\ -1 <= I207 - 1 /\ I199 <= I207 - 1 /\ -1 <= I201 - 1 /\ -1 <= I208 - 1 /\ I200 <= I208 - 1 /\ 0 <= I198 - 1 /\ I198 - 1 <= I198 - 1 /\ -1 <= I209 - 1 /\ I199 <= I209 - 1 /\ -1 <= I210 - 1 /\ I200 <= I210 - 1]
74.43/73.63	  f10(I211, I212, I213, I214, I215, I216) -> f10(I211, I212, I213, I214 + 1, I217, I218) [I219 <= -1 /\ I214 <= 8 /\ -1 <= I220 - 1 /\ I212 <= I220 - 1 /\ -1 <= I214 - 1 /\ -1 <= I221 - 1 /\ I213 <= I221 - 1 /\ 0 <= I211 - 1 /\ I211 - 1 <= I211 - 1 /\ -1 <= I222 - 1 /\ I212 <= I222 - 1 /\ -1 <= I223 - 1 /\ I213 <= I223 - 1]
74.43/73.63	  f9(I224, I225, I226, I227, I228, I229) -> f9(I224, I225, I226, I227 + 1, I230, I231) [0 <= I232 - 1 /\ I227 <= 8 /\ -1 <= I233 - 1 /\ I225 <= I233 - 1 /\ -1 <= I227 - 1 /\ -1 <= I234 - 1 /\ I226 <= I234 - 1 /\ 1 <= I225 - 1 /\ 0 <= I224 - 1 /\ I224 - 1 <= I224 - 1 /\ -1 <= I235 - 1 /\ I225 <= I235 - 1 /\ -1 <= I236 - 1 /\ I226 <= I236 - 1]
74.43/73.63	  f9(I237, I238, I239, I240, I241, I242) -> f9(I237, I238, I239, I240 + 1, I243, I244) [I245 <= -1 /\ I240 <= 8 /\ -1 <= I246 - 1 /\ I238 <= I246 - 1 /\ -1 <= I240 - 1 /\ -1 <= I247 - 1 /\ I239 <= I247 - 1 /\ 1 <= I238 - 1 /\ 0 <= I237 - 1 /\ I237 - 1 <= I237 - 1 /\ -1 <= I248 - 1 /\ I238 <= I248 - 1 /\ -1 <= I249 - 1 /\ I239 <= I249 - 1]
74.43/73.63	  f10(I250, I251, I252, I253, I254, I255) -> f5(I250 - 1, I256, I257, I258, I259, I260) [0 <= I261 - 1 /\ I253 <= 8 /\ -1 <= I262 - 1 /\ I251 <= I262 - 1 /\ -1 <= I253 - 1 /\ -1 <= I263 - 1 /\ I252 <= I263 - 1 /\ I250 - 1 <= I250 - 1 /\ 0 <= I250 - 1]
74.43/73.63	  f10(I264, I265, I266, I267, I268, I269) -> f5(I264 - 1, I270, I271, I272, I273, I274) [I275 <= -1 /\ I267 <= 8 /\ -1 <= I276 - 1 /\ I265 <= I276 - 1 /\ -1 <= I267 - 1 /\ -1 <= I277 - 1 /\ I266 <= I277 - 1 /\ I264 - 1 <= I264 - 1 /\ 0 <= I264 - 1]
74.43/73.63	  f9(I278, I279, I280, I281, I282, I283) -> f5(I278 - 1, I284, I285, I286, I287, I288) [0 <= I289 - 1 /\ I281 <= 8 /\ -1 <= I290 - 1 /\ I279 <= I290 - 1 /\ -1 <= I281 - 1 /\ -1 <= I291 - 1 /\ I280 <= I291 - 1 /\ 1 <= I279 - 1 /\ I278 - 1 <= I278 - 1 /\ 0 <= I278 - 1]
74.43/73.63	  f9(I292, I293, I294, I295, I296, I297) -> f5(I292 - 1, I298, I299, I300, I301, I302) [I303 <= -1 /\ I295 <= 8 /\ -1 <= I304 - 1 /\ I293 <= I304 - 1 /\ -1 <= I295 - 1 /\ -1 <= I305 - 1 /\ I294 <= I305 - 1 /\ 1 <= I293 - 1 /\ I292 - 1 <= I292 - 1 /\ 0 <= I292 - 1]
74.43/73.63	  f10(I306, I307, I308, I309, I310, I311) -> f10(I306, I307, I308, I309 + 1, I312, I313) [I309 <= 8]
74.43/73.63	  f9(I314, I315, I316, I317, I318, I319) -> f9(I314, I315, I316, I317 + 1, I320, I321) [I317 <= 8]
74.43/73.63	  f8(I322, I323, I324, I325, I326, I327) -> f10(I322, I323, I324, 0, I328, I329) [-1 <= I330 - 1 /\ I324 <= 8 /\ I323 <= I330 - 1 /\ -1 <= I331 - 1 /\ I324 <= I331 - 1 /\ 0 <= I322 - 1]
74.43/73.63	  f7(I332, I333, I334, I335, I336, I337) -> f9(I332, I334, I333, 0, I338, I339) [8 <= I334 - 1 /\ 0 <= I332 - 1]
74.43/73.63	  f8(I340, I341, I342, I343, I344, I345) -> f8(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.63	  f8(I352, I353, I354, I355, I356, I357) -> f8(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.63	  f8(I364, I365, I366, I367, I368, I369) -> f7(I364, I366, I365 + 1, I370, I371, I372) [8 <= I366 - 1]
74.43/73.63	  f7(I373, I374, I375, I376, I377, I378) -> f8(I373, I375, 0, I379, I380, I381) [I375 <= 8]
74.43/73.63	  f5(I382, I383, I384, I385, I386, I387) -> f7(I382, 0, 0, I388, I389, I390) [0 <= I382 - 1]
74.43/73.63	  f6(I391, I392, I393, I394, I395, I396) -> f6(I397, I392 + 1, I393, I394 + 1, I395, I398) [I393 <= 8 /\ I394 <= 8 /\ I394 <= I399 - 1 /\ -1 <= I399 - 1 /\ I397 <= I391 /\ 0 <= I391 - 1 /\ 0 <= I397 - 1]
74.43/73.63	  f6(I400, I401, I402, I403, I404, I405) -> f6(I406, I401, I402, I403 + 1, I404, I407) [I402 <= 8 /\ I403 <= 8 /\ -1 <= I408 - 1 /\ 0 <= I409 - 1 /\ I403 <= I408 - 1 /\ I406 <= I400 /\ 0 <= I400 - 1 /\ 0 <= I406 - 1]
74.43/73.63	  f6(I410, I411, I412, I413, I414, I415) -> f6(I416, I411, I412, I413 + 1, I414, I417) [I412 <= 8 /\ I413 <= 8 /\ -1 <= I418 - 1 /\ I419 <= -1 /\ I413 <= I418 - 1 /\ I416 <= I410 /\ 0 <= I410 - 1 /\ 0 <= I416 - 1]
74.43/73.63	  f6(I420, I421, I422, I423, I424, I425) -> f4(I426, I421, I422 + 1, I422 + 1, I424, I427) [0 <= I426 - 1 /\ 0 <= I420 - 1 /\ 8 <= I423 - 1 /\ I426 <= I420]
74.43/73.63	  f4(I428, I429, I430, I431, I432, I433) -> f6(I434, I429, I430, 0, I432, I435) [I430 = I431 /\ 0 <= I434 - 1 /\ 0 <= I428 - 1 /\ I430 <= 8 /\ I434 <= I428]
74.43/73.63	  f4(I436, I437, I438, I439, I440, I441) -> f5(I437, I442, I443, I444, I445, I446) [I438 = I439 /\ 0 <= I436 - 1 /\ 1 <= I440 - 1 /\ 8 <= I438 - 1]
74.43/73.63	  f2(I447, I448, I449, I450, I451, I452) -> f4(I453, 0, 0, 0, I449, I454) [0 <= I453 - 1 /\ 0 <= I447 - 1 /\ 8 <= I448 - 1 /\ I453 <= I447]
74.43/73.63	  f3(I455, I456, I457, I458, I459, I460) -> f3(I461, I456, I457 + 1, I458, I462, I463) [I456 <= 8 /\ I457 <= 8 /\ -1 <= I464 - 1 /\ I457 <= I464 - 1 /\ I457 <= I465 - 1 /\ -1 <= I465 - 1 /\ I461 <= I455 /\ 0 <= I455 - 1 /\ 0 <= I461 - 1]
74.43/73.63	  f3(I466, I467, I468, I469, I470, I471) -> f2(I472, I467 + 1, I469, I473, I474, I475) [0 <= I472 - 1 /\ 0 <= I466 - 1 /\ 8 <= I468 - 1 /\ I472 <= I466]
74.43/73.63	  f2(I476, I477, I478, I479, I480, I481) -> f3(I482, I477, 0, I478, I483, I484) [0 <= I482 - 1 /\ 0 <= I476 - 1 /\ I477 <= 8 /\ I482 <= I476]
74.43/73.63	  f1(I485, I486, I487, I488, I489, I490) -> f2(I491, 0, I486, I492, I493, I494) [0 <= I491 - 1 /\ 0 <= I485 - 1 /\ 1 <= I486 - 1 /\ I491 <= I485]
74.43/73.63	
74.43/73.63	We use the reverse value criterion with the projection function NU:
74.43/73.63	  NU[f11#(z1,z2,z3,z4,z5,z6)] = 8 + -1 * z3
74.43/73.63	
74.43/73.63	This gives the following inequalities:
74.43/73.63	  I171 <= 8  ==>  8 + -1 * I171 > 8 + -1 * (I171 + 1)  with  8 + -1 * I171 >= 0
74.43/73.63	
74.43/73.63	All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed.
74.43/73.63	
74.43/73.63	DP problem for innermost termination.
74.43/73.63	P =
74.43/73.63	  f10#(I198, I199, I200, I201, I202, I203) -> f10#(I198, I199, I200, I201 + 1, I204, I205) [0 <= I206 - 1 /\ I201 <= 8 /\ -1 <= I207 - 1 /\ I199 <= I207 - 1 /\ -1 <= I201 - 1 /\ -1 <= I208 - 1 /\ I200 <= I208 - 1 /\ 0 <= I198 - 1 /\ I198 - 1 <= I198 - 1 /\ -1 <= I209 - 1 /\ I199 <= I209 - 1 /\ -1 <= I210 - 1 /\ I200 <= I210 - 1]
74.43/73.63	  f10#(I211, I212, I213, I214, I215, I216) -> f10#(I211, I212, I213, I214 + 1, I217, I218) [I219 <= -1 /\ I214 <= 8 /\ -1 <= I220 - 1 /\ I212 <= I220 - 1 /\ -1 <= I214 - 1 /\ -1 <= I221 - 1 /\ I213 <= I221 - 1 /\ 0 <= I211 - 1 /\ I211 - 1 <= I211 - 1 /\ -1 <= I222 - 1 /\ I212 <= I222 - 1 /\ -1 <= I223 - 1 /\ I213 <= I223 - 1]
74.43/73.63	  f9#(I224, I225, I226, I227, I228, I229) -> f9#(I224, I225, I226, I227 + 1, I230, I231) [0 <= I232 - 1 /\ I227 <= 8 /\ -1 <= I233 - 1 /\ I225 <= I233 - 1 /\ -1 <= I227 - 1 /\ -1 <= I234 - 1 /\ I226 <= I234 - 1 /\ 1 <= I225 - 1 /\ 0 <= I224 - 1 /\ I224 - 1 <= I224 - 1 /\ -1 <= I235 - 1 /\ I225 <= I235 - 1 /\ -1 <= I236 - 1 /\ I226 <= I236 - 1]
74.43/73.63	  f9#(I237, I238, I239, I240, I241, I242) -> f9#(I237, I238, I239, I240 + 1, I243, I244) [I245 <= -1 /\ I240 <= 8 /\ -1 <= I246 - 1 /\ I238 <= I246 - 1 /\ -1 <= I240 - 1 /\ -1 <= I247 - 1 /\ I239 <= I247 - 1 /\ 1 <= I238 - 1 /\ 0 <= I237 - 1 /\ I237 - 1 <= I237 - 1 /\ -1 <= I248 - 1 /\ I238 <= I248 - 1 /\ -1 <= I249 - 1 /\ I239 <= I249 - 1]
74.43/73.63	  f10#(I250, I251, I252, I253, I254, I255) -> f5#(I250 - 1, I256, I257, I258, I259, I260) [0 <= I261 - 1 /\ I253 <= 8 /\ -1 <= I262 - 1 /\ I251 <= I262 - 1 /\ -1 <= I253 - 1 /\ -1 <= I263 - 1 /\ I252 <= I263 - 1 /\ I250 - 1 <= I250 - 1 /\ 0 <= I250 - 1]
74.43/73.63	  f10#(I264, I265, I266, I267, I268, I269) -> f5#(I264 - 1, I270, I271, I272, I273, I274) [I275 <= -1 /\ I267 <= 8 /\ -1 <= I276 - 1 /\ I265 <= I276 - 1 /\ -1 <= I267 - 1 /\ -1 <= I277 - 1 /\ I266 <= I277 - 1 /\ I264 - 1 <= I264 - 1 /\ 0 <= I264 - 1]
74.43/73.63	  f9#(I278, I279, I280, I281, I282, I283) -> f5#(I278 - 1, I284, I285, I286, I287, I288) [0 <= I289 - 1 /\ I281 <= 8 /\ -1 <= I290 - 1 /\ I279 <= I290 - 1 /\ -1 <= I281 - 1 /\ -1 <= I291 - 1 /\ I280 <= I291 - 1 /\ 1 <= I279 - 1 /\ I278 - 1 <= I278 - 1 /\ 0 <= I278 - 1]
74.43/73.63	  f9#(I292, I293, I294, I295, I296, I297) -> f5#(I292 - 1, I298, I299, I300, I301, I302) [I303 <= -1 /\ I295 <= 8 /\ -1 <= I304 - 1 /\ I293 <= I304 - 1 /\ -1 <= I295 - 1 /\ -1 <= I305 - 1 /\ I294 <= I305 - 1 /\ 1 <= I293 - 1 /\ I292 - 1 <= I292 - 1 /\ 0 <= I292 - 1]
74.43/73.63	  f10#(I306, I307, I308, I309, I310, I311) -> f10#(I306, I307, I308, I309 + 1, I312, I313) [I309 <= 8]
74.43/73.63	  f9#(I314, I315, I316, I317, I318, I319) -> f9#(I314, I315, I316, I317 + 1, I320, I321) [I317 <= 8]
74.43/73.63	  f8#(I322, I323, I324, I325, I326, I327) -> f10#(I322, I323, I324, 0, I328, I329) [-1 <= I330 - 1 /\ I324 <= 8 /\ I323 <= I330 - 1 /\ -1 <= I331 - 1 /\ I324 <= I331 - 1 /\ 0 <= I322 - 1]
74.43/73.63	  f7#(I332, I333, I334, I335, I336, I337) -> f9#(I332, I334, I333, 0, I338, I339) [8 <= I334 - 1 /\ 0 <= I332 - 1]
74.43/73.63	  f8#(I340, I341, I342, I343, I344, I345) -> f8#(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.63	  f8#(I352, I353, I354, I355, I356, I357) -> f8#(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.63	  f8#(I364, I365, I366, I367, I368, I369) -> f7#(I364, I366, I365 + 1, I370, I371, I372) [8 <= I366 - 1]
74.43/73.63	  f7#(I373, I374, I375, I376, I377, I378) -> f8#(I373, I375, 0, I379, I380, I381) [I375 <= 8]
74.43/73.63	  f5#(I382, I383, I384, I385, I386, I387) -> f7#(I382, 0, 0, I388, I389, I390) [0 <= I382 - 1]
74.43/73.63	R = 
74.43/73.63	  init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
74.43/73.63	  f16(I0, I1, I2, I3, I4, I5) -> f16(I0, I1, I2, I3 + 1, I3 + 1, I5) [-1 <= y1 - 1 /\ I3 <= I5 - 1 /\ I2 <= y1 - 1 /\ -1 <= y2 - 1 /\ I3 <= y2 - 1 /\ 0 <= y3 - 1 /\ -1 <= y4 - 1 /\ I2 <= y4 - 1 /\ -1 <= y5 - 1 /\ I3 <= y5 - 1 /\ y6 <= 9 /\ I3 = I4]
74.43/73.63	  f16(I6, I7, I8, I9, I10, I11) -> f16(I6, I7, I8, I9 + 1, I9 + 1, I11) [-1 <= I12 - 1 /\ I9 <= I11 - 1 /\ I8 <= I12 - 1 /\ -1 <= I13 - 1 /\ I9 <= I13 - 1 /\ I14 <= -1 /\ -1 <= I15 - 1 /\ I8 <= I15 - 1 /\ -1 <= I16 - 1 /\ I9 <= I16 - 1 /\ I17 <= 9 /\ I9 = I10]
74.43/73.63	  f16(I18, I19, I20, I21, I22, I23) -> f16(I18, I19, I20, I21 + 1, I21 + 1, I23) [-1 <= I24 - 1 /\ I21 <= I23 - 1 /\ I20 <= I24 - 1 /\ -1 <= I25 - 1 /\ I21 <= I25 - 1 /\ I21 = I22]
74.43/73.63	  f16(I26, I27, I28, I29, I30, I31) -> f15(I26, I31, I28 + 1, I27, I32, I33) [I29 = I30 /\ I31 <= I29]
74.43/73.63	  f15(I34, I35, I36, I37, I38, I39) -> f16(I34, I37, I36, I34, I34, I35) [I36 <= I37 - 1]
74.43/73.63	  f13(I40, I41, I42, I43, I44, I45) -> f13(I40, I41, I42 + 1, I46, I47, I48) [-1 <= I49 - 1 /\ I42 <= 8 /\ I42 <= I49 - 1 /\ -1 <= I50 - 1 /\ I41 <= I50 - 1 /\ 0 <= I51 - 1 /\ -1 <= I52 - 1 /\ I42 <= I52 - 1 /\ -1 <= I53 - 1 /\ I41 <= I53 - 1 /\ I54 <= 9]
74.43/73.63	  f13(I55, I56, I57, I58, I59, I60) -> f13(I55, I56, I57 + 1, I61, I62, I63) [-1 <= I64 - 1 /\ I57 <= 8 /\ I57 <= I64 - 1 /\ -1 <= I65 - 1 /\ I56 <= I65 - 1 /\ I66 <= -1 /\ -1 <= I67 - 1 /\ I57 <= I67 - 1 /\ -1 <= I68 - 1 /\ I56 <= I68 - 1 /\ I69 <= 9]
74.43/73.63	  f13(I70, I71, I72, I73, I74, I75) -> f13(I70, I71, I72 + 1, I76, I77, I78) [-1 <= I79 - 1 /\ I72 <= 8 /\ I72 <= I79 - 1 /\ -1 <= I80 - 1 /\ I71 <= I80 - 1]
74.43/73.63	  f14(I81, I82, I83, I84, I85, I86) -> f15(I87, I88, I89, I90, I91, I92) [0 <= I81 - 3 * I93 /\ 8 <= I83 - 1 /\ -1 <= I81 - 1 /\ -1 <= I82 - 1 /\ 0 <= I82 - 3 * I94 /\ I81 - 3 * I93 <= 2 /\ I82 - 3 * I94 <= 2 /\ 0 <= I82 - 3 * I95 /\ I82 - 3 * I95 <= 2 /\ 0 <= I82 - 3 * I96 /\ I82 - 3 * I96 <= 2 /\ 0 <= I81 - 3 * I97 /\ I81 - 3 * I97 <= 2 /\ I81 - 3 * I98 <= 2 /\ 0 <= I81 - 3 * I98 /\ I82 - (I82 - 3 * I95) = I87 /\ I82 - (I82 - 3 * I96) + 3 = I88 /\ I81 - (I81 - 3 * I97) = I89 /\ I81 - (I81 - 3 * I98) + 3 = I90]
74.43/73.63	  f13(I99, I100, I101, I102, I103, I104) -> f14(I99, I100, I101, I105, I106, I107) [0 <= I99 - 3 * I108 /\ 8 <= I101 - 1 /\ -1 <= I99 - 1 /\ 0 <= I100 - 3 * I109 /\ -1 <= I100 - 1]
74.43/73.63	  f12(I110, I111, I112, I113, I114, I115) -> f13(I110, I111, 0, I116, I117, I118) [8 <= I112 - 1]
74.43/73.63	  f12(I119, I120, I121, I122, I123, I124) -> f12(I119, I120, I121 + 1, I125, I126, I127) [-1 <= I128 - 1 /\ I121 <= 8 /\ I119 <= I128 - 1 /\ -1 <= I129 - 1 /\ I121 <= I129 - 1 /\ 0 <= I130 - 1 /\ -1 <= I131 - 1 /\ I119 <= I131 - 1 /\ -1 <= I132 - 1 /\ I121 <= I132 - 1 /\ I133 <= 9]
74.43/73.63	  f12(I134, I135, I136, I137, I138, I139) -> f12(I134, I135, I136 + 1, I140, I141, I142) [-1 <= I143 - 1 /\ I136 <= 8 /\ I134 <= I143 - 1 /\ -1 <= I144 - 1 /\ I136 <= I144 - 1 /\ I145 <= -1 /\ -1 <= I146 - 1 /\ I134 <= I146 - 1 /\ -1 <= I147 - 1 /\ I136 <= I147 - 1 /\ I148 <= 9]
74.43/73.63	  f12(I149, I150, I151, I152, I153, I154) -> f12(I149, I150, I151 + 1, I155, I156, I157) [-1 <= I158 - 1 /\ I151 <= 8 /\ I149 <= I158 - 1 /\ -1 <= I159 - 1 /\ I151 <= I159 - 1]
74.43/73.63	  f11(I160, I161, I162, I163, I164, I165) -> f12(I160, I161, 0, I166, I167, I168) [8 <= I162 - 1]
74.43/73.63	  f11(I169, I170, I171, I172, I173, I174) -> f11(I169, I170, I171 + 1, I175, I176, I177) [I171 <= 8]
74.43/73.63	  f8(I178, I179, I180, I181, I182, I183) -> f11(I179, I180, 0, I184, I185, I186) [-1 <= I187 - 1 /\ I180 <= 8 /\ I179 <= I187 - 1 /\ -1 <= I188 - 1 /\ I180 <= I188 - 1 /\ 0 <= I178 - 1]
74.43/73.63	  f7(I189, I190, I191, I192, I193, I194) -> f11(I191, I190, 0, I195, I196, I197) [8 <= I191 - 1 /\ 0 <= I189 - 1]
74.43/73.63	  f10(I198, I199, I200, I201, I202, I203) -> f10(I198, I199, I200, I201 + 1, I204, I205) [0 <= I206 - 1 /\ I201 <= 8 /\ -1 <= I207 - 1 /\ I199 <= I207 - 1 /\ -1 <= I201 - 1 /\ -1 <= I208 - 1 /\ I200 <= I208 - 1 /\ 0 <= I198 - 1 /\ I198 - 1 <= I198 - 1 /\ -1 <= I209 - 1 /\ I199 <= I209 - 1 /\ -1 <= I210 - 1 /\ I200 <= I210 - 1]
74.43/73.63	  f10(I211, I212, I213, I214, I215, I216) -> f10(I211, I212, I213, I214 + 1, I217, I218) [I219 <= -1 /\ I214 <= 8 /\ -1 <= I220 - 1 /\ I212 <= I220 - 1 /\ -1 <= I214 - 1 /\ -1 <= I221 - 1 /\ I213 <= I221 - 1 /\ 0 <= I211 - 1 /\ I211 - 1 <= I211 - 1 /\ -1 <= I222 - 1 /\ I212 <= I222 - 1 /\ -1 <= I223 - 1 /\ I213 <= I223 - 1]
74.43/73.63	  f9(I224, I225, I226, I227, I228, I229) -> f9(I224, I225, I226, I227 + 1, I230, I231) [0 <= I232 - 1 /\ I227 <= 8 /\ -1 <= I233 - 1 /\ I225 <= I233 - 1 /\ -1 <= I227 - 1 /\ -1 <= I234 - 1 /\ I226 <= I234 - 1 /\ 1 <= I225 - 1 /\ 0 <= I224 - 1 /\ I224 - 1 <= I224 - 1 /\ -1 <= I235 - 1 /\ I225 <= I235 - 1 /\ -1 <= I236 - 1 /\ I226 <= I236 - 1]
74.43/73.63	  f9(I237, I238, I239, I240, I241, I242) -> f9(I237, I238, I239, I240 + 1, I243, I244) [I245 <= -1 /\ I240 <= 8 /\ -1 <= I246 - 1 /\ I238 <= I246 - 1 /\ -1 <= I240 - 1 /\ -1 <= I247 - 1 /\ I239 <= I247 - 1 /\ 1 <= I238 - 1 /\ 0 <= I237 - 1 /\ I237 - 1 <= I237 - 1 /\ -1 <= I248 - 1 /\ I238 <= I248 - 1 /\ -1 <= I249 - 1 /\ I239 <= I249 - 1]
74.43/73.63	  f10(I250, I251, I252, I253, I254, I255) -> f5(I250 - 1, I256, I257, I258, I259, I260) [0 <= I261 - 1 /\ I253 <= 8 /\ -1 <= I262 - 1 /\ I251 <= I262 - 1 /\ -1 <= I253 - 1 /\ -1 <= I263 - 1 /\ I252 <= I263 - 1 /\ I250 - 1 <= I250 - 1 /\ 0 <= I250 - 1]
74.43/73.63	  f10(I264, I265, I266, I267, I268, I269) -> f5(I264 - 1, I270, I271, I272, I273, I274) [I275 <= -1 /\ I267 <= 8 /\ -1 <= I276 - 1 /\ I265 <= I276 - 1 /\ -1 <= I267 - 1 /\ -1 <= I277 - 1 /\ I266 <= I277 - 1 /\ I264 - 1 <= I264 - 1 /\ 0 <= I264 - 1]
74.43/73.63	  f9(I278, I279, I280, I281, I282, I283) -> f5(I278 - 1, I284, I285, I286, I287, I288) [0 <= I289 - 1 /\ I281 <= 8 /\ -1 <= I290 - 1 /\ I279 <= I290 - 1 /\ -1 <= I281 - 1 /\ -1 <= I291 - 1 /\ I280 <= I291 - 1 /\ 1 <= I279 - 1 /\ I278 - 1 <= I278 - 1 /\ 0 <= I278 - 1]
74.43/73.63	  f9(I292, I293, I294, I295, I296, I297) -> f5(I292 - 1, I298, I299, I300, I301, I302) [I303 <= -1 /\ I295 <= 8 /\ -1 <= I304 - 1 /\ I293 <= I304 - 1 /\ -1 <= I295 - 1 /\ -1 <= I305 - 1 /\ I294 <= I305 - 1 /\ 1 <= I293 - 1 /\ I292 - 1 <= I292 - 1 /\ 0 <= I292 - 1]
74.43/73.63	  f10(I306, I307, I308, I309, I310, I311) -> f10(I306, I307, I308, I309 + 1, I312, I313) [I309 <= 8]
74.43/73.63	  f9(I314, I315, I316, I317, I318, I319) -> f9(I314, I315, I316, I317 + 1, I320, I321) [I317 <= 8]
74.43/73.63	  f8(I322, I323, I324, I325, I326, I327) -> f10(I322, I323, I324, 0, I328, I329) [-1 <= I330 - 1 /\ I324 <= 8 /\ I323 <= I330 - 1 /\ -1 <= I331 - 1 /\ I324 <= I331 - 1 /\ 0 <= I322 - 1]
74.43/73.63	  f7(I332, I333, I334, I335, I336, I337) -> f9(I332, I334, I333, 0, I338, I339) [8 <= I334 - 1 /\ 0 <= I332 - 1]
74.43/73.63	  f8(I340, I341, I342, I343, I344, I345) -> f8(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.63	  f8(I352, I353, I354, I355, I356, I357) -> f8(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.63	  f8(I364, I365, I366, I367, I368, I369) -> f7(I364, I366, I365 + 1, I370, I371, I372) [8 <= I366 - 1]
74.43/73.63	  f7(I373, I374, I375, I376, I377, I378) -> f8(I373, I375, 0, I379, I380, I381) [I375 <= 8]
74.43/73.63	  f5(I382, I383, I384, I385, I386, I387) -> f7(I382, 0, 0, I388, I389, I390) [0 <= I382 - 1]
74.43/73.63	  f6(I391, I392, I393, I394, I395, I396) -> f6(I397, I392 + 1, I393, I394 + 1, I395, I398) [I393 <= 8 /\ I394 <= 8 /\ I394 <= I399 - 1 /\ -1 <= I399 - 1 /\ I397 <= I391 /\ 0 <= I391 - 1 /\ 0 <= I397 - 1]
74.43/73.63	  f6(I400, I401, I402, I403, I404, I405) -> f6(I406, I401, I402, I403 + 1, I404, I407) [I402 <= 8 /\ I403 <= 8 /\ -1 <= I408 - 1 /\ 0 <= I409 - 1 /\ I403 <= I408 - 1 /\ I406 <= I400 /\ 0 <= I400 - 1 /\ 0 <= I406 - 1]
74.43/73.63	  f6(I410, I411, I412, I413, I414, I415) -> f6(I416, I411, I412, I413 + 1, I414, I417) [I412 <= 8 /\ I413 <= 8 /\ -1 <= I418 - 1 /\ I419 <= -1 /\ I413 <= I418 - 1 /\ I416 <= I410 /\ 0 <= I410 - 1 /\ 0 <= I416 - 1]
74.43/73.63	  f6(I420, I421, I422, I423, I424, I425) -> f4(I426, I421, I422 + 1, I422 + 1, I424, I427) [0 <= I426 - 1 /\ 0 <= I420 - 1 /\ 8 <= I423 - 1 /\ I426 <= I420]
74.43/73.63	  f4(I428, I429, I430, I431, I432, I433) -> f6(I434, I429, I430, 0, I432, I435) [I430 = I431 /\ 0 <= I434 - 1 /\ 0 <= I428 - 1 /\ I430 <= 8 /\ I434 <= I428]
74.43/73.63	  f4(I436, I437, I438, I439, I440, I441) -> f5(I437, I442, I443, I444, I445, I446) [I438 = I439 /\ 0 <= I436 - 1 /\ 1 <= I440 - 1 /\ 8 <= I438 - 1]
74.43/73.63	  f2(I447, I448, I449, I450, I451, I452) -> f4(I453, 0, 0, 0, I449, I454) [0 <= I453 - 1 /\ 0 <= I447 - 1 /\ 8 <= I448 - 1 /\ I453 <= I447]
74.43/73.63	  f3(I455, I456, I457, I458, I459, I460) -> f3(I461, I456, I457 + 1, I458, I462, I463) [I456 <= 8 /\ I457 <= 8 /\ -1 <= I464 - 1 /\ I457 <= I464 - 1 /\ I457 <= I465 - 1 /\ -1 <= I465 - 1 /\ I461 <= I455 /\ 0 <= I455 - 1 /\ 0 <= I461 - 1]
74.43/73.63	  f3(I466, I467, I468, I469, I470, I471) -> f2(I472, I467 + 1, I469, I473, I474, I475) [0 <= I472 - 1 /\ 0 <= I466 - 1 /\ 8 <= I468 - 1 /\ I472 <= I466]
74.43/73.63	  f2(I476, I477, I478, I479, I480, I481) -> f3(I482, I477, 0, I478, I483, I484) [0 <= I482 - 1 /\ 0 <= I476 - 1 /\ I477 <= 8 /\ I482 <= I476]
74.43/73.63	  f1(I485, I486, I487, I488, I489, I490) -> f2(I491, 0, I486, I492, I493, I494) [0 <= I491 - 1 /\ 0 <= I485 - 1 /\ 1 <= I486 - 1 /\ I491 <= I485]
74.43/73.63	
74.43/73.63	We use the basic value criterion with the projection function NU:
74.43/73.63	  NU[f7#(z1,z2,z3,z4,z5,z6)] = z1
74.43/73.63	  NU[f8#(z1,z2,z3,z4,z5,z6)] = z1
74.43/73.63	  NU[f5#(z1,z2,z3,z4,z5,z6)] = z1
74.43/73.63	  NU[f9#(z1,z2,z3,z4,z5,z6)] = z1
74.43/73.63	  NU[f10#(z1,z2,z3,z4,z5,z6)] = z1
74.43/73.63	
74.43/73.63	This gives the following inequalities:
74.43/73.63	  0 <= I206 - 1 /\ I201 <= 8 /\ -1 <= I207 - 1 /\ I199 <= I207 - 1 /\ -1 <= I201 - 1 /\ -1 <= I208 - 1 /\ I200 <= I208 - 1 /\ 0 <= I198 - 1 /\ I198 - 1 <= I198 - 1 /\ -1 <= I209 - 1 /\ I199 <= I209 - 1 /\ -1 <= I210 - 1 /\ I200 <= I210 - 1  ==>  I198 (>! \union =) I198
74.43/73.63	  I219 <= -1 /\ I214 <= 8 /\ -1 <= I220 - 1 /\ I212 <= I220 - 1 /\ -1 <= I214 - 1 /\ -1 <= I221 - 1 /\ I213 <= I221 - 1 /\ 0 <= I211 - 1 /\ I211 - 1 <= I211 - 1 /\ -1 <= I222 - 1 /\ I212 <= I222 - 1 /\ -1 <= I223 - 1 /\ I213 <= I223 - 1  ==>  I211 (>! \union =) I211
74.43/73.63	  0 <= I232 - 1 /\ I227 <= 8 /\ -1 <= I233 - 1 /\ I225 <= I233 - 1 /\ -1 <= I227 - 1 /\ -1 <= I234 - 1 /\ I226 <= I234 - 1 /\ 1 <= I225 - 1 /\ 0 <= I224 - 1 /\ I224 - 1 <= I224 - 1 /\ -1 <= I235 - 1 /\ I225 <= I235 - 1 /\ -1 <= I236 - 1 /\ I226 <= I236 - 1  ==>  I224 (>! \union =) I224
74.43/73.63	  I245 <= -1 /\ I240 <= 8 /\ -1 <= I246 - 1 /\ I238 <= I246 - 1 /\ -1 <= I240 - 1 /\ -1 <= I247 - 1 /\ I239 <= I247 - 1 /\ 1 <= I238 - 1 /\ 0 <= I237 - 1 /\ I237 - 1 <= I237 - 1 /\ -1 <= I248 - 1 /\ I238 <= I248 - 1 /\ -1 <= I249 - 1 /\ I239 <= I249 - 1  ==>  I237 (>! \union =) I237
74.43/73.63	  0 <= I261 - 1 /\ I253 <= 8 /\ -1 <= I262 - 1 /\ I251 <= I262 - 1 /\ -1 <= I253 - 1 /\ -1 <= I263 - 1 /\ I252 <= I263 - 1 /\ I250 - 1 <= I250 - 1 /\ 0 <= I250 - 1  ==>  I250 >! I250 - 1
74.43/73.63	  I275 <= -1 /\ I267 <= 8 /\ -1 <= I276 - 1 /\ I265 <= I276 - 1 /\ -1 <= I267 - 1 /\ -1 <= I277 - 1 /\ I266 <= I277 - 1 /\ I264 - 1 <= I264 - 1 /\ 0 <= I264 - 1  ==>  I264 >! I264 - 1
74.43/73.63	  0 <= I289 - 1 /\ I281 <= 8 /\ -1 <= I290 - 1 /\ I279 <= I290 - 1 /\ -1 <= I281 - 1 /\ -1 <= I291 - 1 /\ I280 <= I291 - 1 /\ 1 <= I279 - 1 /\ I278 - 1 <= I278 - 1 /\ 0 <= I278 - 1  ==>  I278 >! I278 - 1
74.43/73.63	  I303 <= -1 /\ I295 <= 8 /\ -1 <= I304 - 1 /\ I293 <= I304 - 1 /\ -1 <= I295 - 1 /\ -1 <= I305 - 1 /\ I294 <= I305 - 1 /\ 1 <= I293 - 1 /\ I292 - 1 <= I292 - 1 /\ 0 <= I292 - 1  ==>  I292 >! I292 - 1
74.43/73.63	  I309 <= 8  ==>  I306 (>! \union =) I306
74.43/73.63	  I317 <= 8  ==>  I314 (>! \union =) I314
74.43/73.63	  -1 <= I330 - 1 /\ I324 <= 8 /\ I323 <= I330 - 1 /\ -1 <= I331 - 1 /\ I324 <= I331 - 1 /\ 0 <= I322 - 1  ==>  I322 (>! \union =) I322
74.43/73.63	  8 <= I334 - 1 /\ 0 <= I332 - 1  ==>  I332 (>! \union =) I332
74.43/73.63	  -1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1  ==>  I340 (>! \union =) I340
74.43/73.63	  -1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1  ==>  I352 (>! \union =) I352
74.43/73.63	  8 <= I366 - 1  ==>  I364 (>! \union =) I364
74.43/73.63	  I375 <= 8  ==>  I373 (>! \union =) I373
74.43/73.63	  0 <= I382 - 1  ==>  I382 (>! \union =) I382
74.43/73.63	
74.43/73.63	We remove all the strictly oriented dependency pairs.
74.43/73.63	
74.43/73.63	DP problem for innermost termination.
74.43/73.63	P =
74.43/73.63	  f10#(I198, I199, I200, I201, I202, I203) -> f10#(I198, I199, I200, I201 + 1, I204, I205) [0 <= I206 - 1 /\ I201 <= 8 /\ -1 <= I207 - 1 /\ I199 <= I207 - 1 /\ -1 <= I201 - 1 /\ -1 <= I208 - 1 /\ I200 <= I208 - 1 /\ 0 <= I198 - 1 /\ I198 - 1 <= I198 - 1 /\ -1 <= I209 - 1 /\ I199 <= I209 - 1 /\ -1 <= I210 - 1 /\ I200 <= I210 - 1]
74.43/73.63	  f10#(I211, I212, I213, I214, I215, I216) -> f10#(I211, I212, I213, I214 + 1, I217, I218) [I219 <= -1 /\ I214 <= 8 /\ -1 <= I220 - 1 /\ I212 <= I220 - 1 /\ -1 <= I214 - 1 /\ -1 <= I221 - 1 /\ I213 <= I221 - 1 /\ 0 <= I211 - 1 /\ I211 - 1 <= I211 - 1 /\ -1 <= I222 - 1 /\ I212 <= I222 - 1 /\ -1 <= I223 - 1 /\ I213 <= I223 - 1]
74.43/73.63	  f9#(I224, I225, I226, I227, I228, I229) -> f9#(I224, I225, I226, I227 + 1, I230, I231) [0 <= I232 - 1 /\ I227 <= 8 /\ -1 <= I233 - 1 /\ I225 <= I233 - 1 /\ -1 <= I227 - 1 /\ -1 <= I234 - 1 /\ I226 <= I234 - 1 /\ 1 <= I225 - 1 /\ 0 <= I224 - 1 /\ I224 - 1 <= I224 - 1 /\ -1 <= I235 - 1 /\ I225 <= I235 - 1 /\ -1 <= I236 - 1 /\ I226 <= I236 - 1]
74.43/73.63	  f9#(I237, I238, I239, I240, I241, I242) -> f9#(I237, I238, I239, I240 + 1, I243, I244) [I245 <= -1 /\ I240 <= 8 /\ -1 <= I246 - 1 /\ I238 <= I246 - 1 /\ -1 <= I240 - 1 /\ -1 <= I247 - 1 /\ I239 <= I247 - 1 /\ 1 <= I238 - 1 /\ 0 <= I237 - 1 /\ I237 - 1 <= I237 - 1 /\ -1 <= I248 - 1 /\ I238 <= I248 - 1 /\ -1 <= I249 - 1 /\ I239 <= I249 - 1]
74.43/73.63	  f10#(I306, I307, I308, I309, I310, I311) -> f10#(I306, I307, I308, I309 + 1, I312, I313) [I309 <= 8]
74.43/73.63	  f9#(I314, I315, I316, I317, I318, I319) -> f9#(I314, I315, I316, I317 + 1, I320, I321) [I317 <= 8]
74.43/73.63	  f8#(I322, I323, I324, I325, I326, I327) -> f10#(I322, I323, I324, 0, I328, I329) [-1 <= I330 - 1 /\ I324 <= 8 /\ I323 <= I330 - 1 /\ -1 <= I331 - 1 /\ I324 <= I331 - 1 /\ 0 <= I322 - 1]
74.43/73.63	  f7#(I332, I333, I334, I335, I336, I337) -> f9#(I332, I334, I333, 0, I338, I339) [8 <= I334 - 1 /\ 0 <= I332 - 1]
74.43/73.63	  f8#(I340, I341, I342, I343, I344, I345) -> f8#(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.63	  f8#(I352, I353, I354, I355, I356, I357) -> f8#(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.63	  f8#(I364, I365, I366, I367, I368, I369) -> f7#(I364, I366, I365 + 1, I370, I371, I372) [8 <= I366 - 1]
74.43/73.63	  f7#(I373, I374, I375, I376, I377, I378) -> f8#(I373, I375, 0, I379, I380, I381) [I375 <= 8]
74.43/73.63	  f5#(I382, I383, I384, I385, I386, I387) -> f7#(I382, 0, 0, I388, I389, I390) [0 <= I382 - 1]
74.43/73.63	R = 
74.43/73.63	  init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
74.43/73.63	  f16(I0, I1, I2, I3, I4, I5) -> f16(I0, I1, I2, I3 + 1, I3 + 1, I5) [-1 <= y1 - 1 /\ I3 <= I5 - 1 /\ I2 <= y1 - 1 /\ -1 <= y2 - 1 /\ I3 <= y2 - 1 /\ 0 <= y3 - 1 /\ -1 <= y4 - 1 /\ I2 <= y4 - 1 /\ -1 <= y5 - 1 /\ I3 <= y5 - 1 /\ y6 <= 9 /\ I3 = I4]
74.43/73.63	  f16(I6, I7, I8, I9, I10, I11) -> f16(I6, I7, I8, I9 + 1, I9 + 1, I11) [-1 <= I12 - 1 /\ I9 <= I11 - 1 /\ I8 <= I12 - 1 /\ -1 <= I13 - 1 /\ I9 <= I13 - 1 /\ I14 <= -1 /\ -1 <= I15 - 1 /\ I8 <= I15 - 1 /\ -1 <= I16 - 1 /\ I9 <= I16 - 1 /\ I17 <= 9 /\ I9 = I10]
74.43/73.63	  f16(I18, I19, I20, I21, I22, I23) -> f16(I18, I19, I20, I21 + 1, I21 + 1, I23) [-1 <= I24 - 1 /\ I21 <= I23 - 1 /\ I20 <= I24 - 1 /\ -1 <= I25 - 1 /\ I21 <= I25 - 1 /\ I21 = I22]
74.43/73.63	  f16(I26, I27, I28, I29, I30, I31) -> f15(I26, I31, I28 + 1, I27, I32, I33) [I29 = I30 /\ I31 <= I29]
74.43/73.63	  f15(I34, I35, I36, I37, I38, I39) -> f16(I34, I37, I36, I34, I34, I35) [I36 <= I37 - 1]
74.43/73.63	  f13(I40, I41, I42, I43, I44, I45) -> f13(I40, I41, I42 + 1, I46, I47, I48) [-1 <= I49 - 1 /\ I42 <= 8 /\ I42 <= I49 - 1 /\ -1 <= I50 - 1 /\ I41 <= I50 - 1 /\ 0 <= I51 - 1 /\ -1 <= I52 - 1 /\ I42 <= I52 - 1 /\ -1 <= I53 - 1 /\ I41 <= I53 - 1 /\ I54 <= 9]
74.43/73.63	  f13(I55, I56, I57, I58, I59, I60) -> f13(I55, I56, I57 + 1, I61, I62, I63) [-1 <= I64 - 1 /\ I57 <= 8 /\ I57 <= I64 - 1 /\ -1 <= I65 - 1 /\ I56 <= I65 - 1 /\ I66 <= -1 /\ -1 <= I67 - 1 /\ I57 <= I67 - 1 /\ -1 <= I68 - 1 /\ I56 <= I68 - 1 /\ I69 <= 9]
74.43/73.63	  f13(I70, I71, I72, I73, I74, I75) -> f13(I70, I71, I72 + 1, I76, I77, I78) [-1 <= I79 - 1 /\ I72 <= 8 /\ I72 <= I79 - 1 /\ -1 <= I80 - 1 /\ I71 <= I80 - 1]
74.43/73.63	  f14(I81, I82, I83, I84, I85, I86) -> f15(I87, I88, I89, I90, I91, I92) [0 <= I81 - 3 * I93 /\ 8 <= I83 - 1 /\ -1 <= I81 - 1 /\ -1 <= I82 - 1 /\ 0 <= I82 - 3 * I94 /\ I81 - 3 * I93 <= 2 /\ I82 - 3 * I94 <= 2 /\ 0 <= I82 - 3 * I95 /\ I82 - 3 * I95 <= 2 /\ 0 <= I82 - 3 * I96 /\ I82 - 3 * I96 <= 2 /\ 0 <= I81 - 3 * I97 /\ I81 - 3 * I97 <= 2 /\ I81 - 3 * I98 <= 2 /\ 0 <= I81 - 3 * I98 /\ I82 - (I82 - 3 * I95) = I87 /\ I82 - (I82 - 3 * I96) + 3 = I88 /\ I81 - (I81 - 3 * I97) = I89 /\ I81 - (I81 - 3 * I98) + 3 = I90]
74.43/73.63	  f13(I99, I100, I101, I102, I103, I104) -> f14(I99, I100, I101, I105, I106, I107) [0 <= I99 - 3 * I108 /\ 8 <= I101 - 1 /\ -1 <= I99 - 1 /\ 0 <= I100 - 3 * I109 /\ -1 <= I100 - 1]
74.43/73.63	  f12(I110, I111, I112, I113, I114, I115) -> f13(I110, I111, 0, I116, I117, I118) [8 <= I112 - 1]
74.43/73.63	  f12(I119, I120, I121, I122, I123, I124) -> f12(I119, I120, I121 + 1, I125, I126, I127) [-1 <= I128 - 1 /\ I121 <= 8 /\ I119 <= I128 - 1 /\ -1 <= I129 - 1 /\ I121 <= I129 - 1 /\ 0 <= I130 - 1 /\ -1 <= I131 - 1 /\ I119 <= I131 - 1 /\ -1 <= I132 - 1 /\ I121 <= I132 - 1 /\ I133 <= 9]
74.43/73.63	  f12(I134, I135, I136, I137, I138, I139) -> f12(I134, I135, I136 + 1, I140, I141, I142) [-1 <= I143 - 1 /\ I136 <= 8 /\ I134 <= I143 - 1 /\ -1 <= I144 - 1 /\ I136 <= I144 - 1 /\ I145 <= -1 /\ -1 <= I146 - 1 /\ I134 <= I146 - 1 /\ -1 <= I147 - 1 /\ I136 <= I147 - 1 /\ I148 <= 9]
74.43/73.63	  f12(I149, I150, I151, I152, I153, I154) -> f12(I149, I150, I151 + 1, I155, I156, I157) [-1 <= I158 - 1 /\ I151 <= 8 /\ I149 <= I158 - 1 /\ -1 <= I159 - 1 /\ I151 <= I159 - 1]
74.43/73.63	  f11(I160, I161, I162, I163, I164, I165) -> f12(I160, I161, 0, I166, I167, I168) [8 <= I162 - 1]
74.43/73.63	  f11(I169, I170, I171, I172, I173, I174) -> f11(I169, I170, I171 + 1, I175, I176, I177) [I171 <= 8]
74.43/73.63	  f8(I178, I179, I180, I181, I182, I183) -> f11(I179, I180, 0, I184, I185, I186) [-1 <= I187 - 1 /\ I180 <= 8 /\ I179 <= I187 - 1 /\ -1 <= I188 - 1 /\ I180 <= I188 - 1 /\ 0 <= I178 - 1]
74.43/73.63	  f7(I189, I190, I191, I192, I193, I194) -> f11(I191, I190, 0, I195, I196, I197) [8 <= I191 - 1 /\ 0 <= I189 - 1]
74.43/73.63	  f10(I198, I199, I200, I201, I202, I203) -> f10(I198, I199, I200, I201 + 1, I204, I205) [0 <= I206 - 1 /\ I201 <= 8 /\ -1 <= I207 - 1 /\ I199 <= I207 - 1 /\ -1 <= I201 - 1 /\ -1 <= I208 - 1 /\ I200 <= I208 - 1 /\ 0 <= I198 - 1 /\ I198 - 1 <= I198 - 1 /\ -1 <= I209 - 1 /\ I199 <= I209 - 1 /\ -1 <= I210 - 1 /\ I200 <= I210 - 1]
74.43/73.63	  f10(I211, I212, I213, I214, I215, I216) -> f10(I211, I212, I213, I214 + 1, I217, I218) [I219 <= -1 /\ I214 <= 8 /\ -1 <= I220 - 1 /\ I212 <= I220 - 1 /\ -1 <= I214 - 1 /\ -1 <= I221 - 1 /\ I213 <= I221 - 1 /\ 0 <= I211 - 1 /\ I211 - 1 <= I211 - 1 /\ -1 <= I222 - 1 /\ I212 <= I222 - 1 /\ -1 <= I223 - 1 /\ I213 <= I223 - 1]
74.43/73.63	  f9(I224, I225, I226, I227, I228, I229) -> f9(I224, I225, I226, I227 + 1, I230, I231) [0 <= I232 - 1 /\ I227 <= 8 /\ -1 <= I233 - 1 /\ I225 <= I233 - 1 /\ -1 <= I227 - 1 /\ -1 <= I234 - 1 /\ I226 <= I234 - 1 /\ 1 <= I225 - 1 /\ 0 <= I224 - 1 /\ I224 - 1 <= I224 - 1 /\ -1 <= I235 - 1 /\ I225 <= I235 - 1 /\ -1 <= I236 - 1 /\ I226 <= I236 - 1]
74.43/73.63	  f9(I237, I238, I239, I240, I241, I242) -> f9(I237, I238, I239, I240 + 1, I243, I244) [I245 <= -1 /\ I240 <= 8 /\ -1 <= I246 - 1 /\ I238 <= I246 - 1 /\ -1 <= I240 - 1 /\ -1 <= I247 - 1 /\ I239 <= I247 - 1 /\ 1 <= I238 - 1 /\ 0 <= I237 - 1 /\ I237 - 1 <= I237 - 1 /\ -1 <= I248 - 1 /\ I238 <= I248 - 1 /\ -1 <= I249 - 1 /\ I239 <= I249 - 1]
74.43/73.63	  f10(I250, I251, I252, I253, I254, I255) -> f5(I250 - 1, I256, I257, I258, I259, I260) [0 <= I261 - 1 /\ I253 <= 8 /\ -1 <= I262 - 1 /\ I251 <= I262 - 1 /\ -1 <= I253 - 1 /\ -1 <= I263 - 1 /\ I252 <= I263 - 1 /\ I250 - 1 <= I250 - 1 /\ 0 <= I250 - 1]
74.43/73.63	  f10(I264, I265, I266, I267, I268, I269) -> f5(I264 - 1, I270, I271, I272, I273, I274) [I275 <= -1 /\ I267 <= 8 /\ -1 <= I276 - 1 /\ I265 <= I276 - 1 /\ -1 <= I267 - 1 /\ -1 <= I277 - 1 /\ I266 <= I277 - 1 /\ I264 - 1 <= I264 - 1 /\ 0 <= I264 - 1]
74.43/73.63	  f9(I278, I279, I280, I281, I282, I283) -> f5(I278 - 1, I284, I285, I286, I287, I288) [0 <= I289 - 1 /\ I281 <= 8 /\ -1 <= I290 - 1 /\ I279 <= I290 - 1 /\ -1 <= I281 - 1 /\ -1 <= I291 - 1 /\ I280 <= I291 - 1 /\ 1 <= I279 - 1 /\ I278 - 1 <= I278 - 1 /\ 0 <= I278 - 1]
74.43/73.63	  f9(I292, I293, I294, I295, I296, I297) -> f5(I292 - 1, I298, I299, I300, I301, I302) [I303 <= -1 /\ I295 <= 8 /\ -1 <= I304 - 1 /\ I293 <= I304 - 1 /\ -1 <= I295 - 1 /\ -1 <= I305 - 1 /\ I294 <= I305 - 1 /\ 1 <= I293 - 1 /\ I292 - 1 <= I292 - 1 /\ 0 <= I292 - 1]
74.43/73.63	  f10(I306, I307, I308, I309, I310, I311) -> f10(I306, I307, I308, I309 + 1, I312, I313) [I309 <= 8]
74.43/73.63	  f9(I314, I315, I316, I317, I318, I319) -> f9(I314, I315, I316, I317 + 1, I320, I321) [I317 <= 8]
74.43/73.63	  f8(I322, I323, I324, I325, I326, I327) -> f10(I322, I323, I324, 0, I328, I329) [-1 <= I330 - 1 /\ I324 <= 8 /\ I323 <= I330 - 1 /\ -1 <= I331 - 1 /\ I324 <= I331 - 1 /\ 0 <= I322 - 1]
74.43/73.63	  f7(I332, I333, I334, I335, I336, I337) -> f9(I332, I334, I333, 0, I338, I339) [8 <= I334 - 1 /\ 0 <= I332 - 1]
74.43/73.63	  f8(I340, I341, I342, I343, I344, I345) -> f8(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.63	  f8(I352, I353, I354, I355, I356, I357) -> f8(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.63	  f8(I364, I365, I366, I367, I368, I369) -> f7(I364, I366, I365 + 1, I370, I371, I372) [8 <= I366 - 1]
74.43/73.63	  f7(I373, I374, I375, I376, I377, I378) -> f8(I373, I375, 0, I379, I380, I381) [I375 <= 8]
74.43/73.63	  f5(I382, I383, I384, I385, I386, I387) -> f7(I382, 0, 0, I388, I389, I390) [0 <= I382 - 1]
74.43/73.63	  f6(I391, I392, I393, I394, I395, I396) -> f6(I397, I392 + 1, I393, I394 + 1, I395, I398) [I393 <= 8 /\ I394 <= 8 /\ I394 <= I399 - 1 /\ -1 <= I399 - 1 /\ I397 <= I391 /\ 0 <= I391 - 1 /\ 0 <= I397 - 1]
74.43/73.63	  f6(I400, I401, I402, I403, I404, I405) -> f6(I406, I401, I402, I403 + 1, I404, I407) [I402 <= 8 /\ I403 <= 8 /\ -1 <= I408 - 1 /\ 0 <= I409 - 1 /\ I403 <= I408 - 1 /\ I406 <= I400 /\ 0 <= I400 - 1 /\ 0 <= I406 - 1]
74.43/73.63	  f6(I410, I411, I412, I413, I414, I415) -> f6(I416, I411, I412, I413 + 1, I414, I417) [I412 <= 8 /\ I413 <= 8 /\ -1 <= I418 - 1 /\ I419 <= -1 /\ I413 <= I418 - 1 /\ I416 <= I410 /\ 0 <= I410 - 1 /\ 0 <= I416 - 1]
74.43/73.63	  f6(I420, I421, I422, I423, I424, I425) -> f4(I426, I421, I422 + 1, I422 + 1, I424, I427) [0 <= I426 - 1 /\ 0 <= I420 - 1 /\ 8 <= I423 - 1 /\ I426 <= I420]
74.43/73.63	  f4(I428, I429, I430, I431, I432, I433) -> f6(I434, I429, I430, 0, I432, I435) [I430 = I431 /\ 0 <= I434 - 1 /\ 0 <= I428 - 1 /\ I430 <= 8 /\ I434 <= I428]
74.43/73.63	  f4(I436, I437, I438, I439, I440, I441) -> f5(I437, I442, I443, I444, I445, I446) [I438 = I439 /\ 0 <= I436 - 1 /\ 1 <= I440 - 1 /\ 8 <= I438 - 1]
74.43/73.63	  f2(I447, I448, I449, I450, I451, I452) -> f4(I453, 0, 0, 0, I449, I454) [0 <= I453 - 1 /\ 0 <= I447 - 1 /\ 8 <= I448 - 1 /\ I453 <= I447]
74.43/73.63	  f3(I455, I456, I457, I458, I459, I460) -> f3(I461, I456, I457 + 1, I458, I462, I463) [I456 <= 8 /\ I457 <= 8 /\ -1 <= I464 - 1 /\ I457 <= I464 - 1 /\ I457 <= I465 - 1 /\ -1 <= I465 - 1 /\ I461 <= I455 /\ 0 <= I455 - 1 /\ 0 <= I461 - 1]
74.43/73.63	  f3(I466, I467, I468, I469, I470, I471) -> f2(I472, I467 + 1, I469, I473, I474, I475) [0 <= I472 - 1 /\ 0 <= I466 - 1 /\ 8 <= I468 - 1 /\ I472 <= I466]
74.43/73.63	  f2(I476, I477, I478, I479, I480, I481) -> f3(I482, I477, 0, I478, I483, I484) [0 <= I482 - 1 /\ 0 <= I476 - 1 /\ I477 <= 8 /\ I482 <= I476]
74.43/73.63	  f1(I485, I486, I487, I488, I489, I490) -> f2(I491, 0, I486, I492, I493, I494) [0 <= I491 - 1 /\ 0 <= I485 - 1 /\ 1 <= I486 - 1 /\ I491 <= I485]
74.43/73.63	
74.43/73.63	The dependency graph for this problem is:
74.43/73.63	  19 -> 19, 20, 27
74.43/73.63	  20 -> 19, 20, 27
74.43/73.63	  21 -> 21, 22, 28
74.43/73.63	  22 -> 21, 22, 28
74.43/73.63	  27 -> 19, 20, 27
74.43/73.63	  28 -> 21, 22, 28
74.43/73.63	  29 -> 19, 20, 27
74.43/73.63	  30 -> 21, 22, 28
74.43/73.63	  31 -> 29, 31, 32, 33
74.43/73.63	  32 -> 29, 31, 32, 33
74.43/73.63	  33 -> 30, 34
74.43/73.63	  34 -> 29, 31, 32
74.43/73.63	  35 -> 34
74.43/73.63	Where:
74.43/73.63	  19) f10#(I198, I199, I200, I201, I202, I203) -> f10#(I198, I199, I200, I201 + 1, I204, I205) [0 <= I206 - 1 /\ I201 <= 8 /\ -1 <= I207 - 1 /\ I199 <= I207 - 1 /\ -1 <= I201 - 1 /\ -1 <= I208 - 1 /\ I200 <= I208 - 1 /\ 0 <= I198 - 1 /\ I198 - 1 <= I198 - 1 /\ -1 <= I209 - 1 /\ I199 <= I209 - 1 /\ -1 <= I210 - 1 /\ I200 <= I210 - 1]
74.43/73.63	  20) f10#(I211, I212, I213, I214, I215, I216) -> f10#(I211, I212, I213, I214 + 1, I217, I218) [I219 <= -1 /\ I214 <= 8 /\ -1 <= I220 - 1 /\ I212 <= I220 - 1 /\ -1 <= I214 - 1 /\ -1 <= I221 - 1 /\ I213 <= I221 - 1 /\ 0 <= I211 - 1 /\ I211 - 1 <= I211 - 1 /\ -1 <= I222 - 1 /\ I212 <= I222 - 1 /\ -1 <= I223 - 1 /\ I213 <= I223 - 1]
74.43/73.63	  21) f9#(I224, I225, I226, I227, I228, I229) -> f9#(I224, I225, I226, I227 + 1, I230, I231) [0 <= I232 - 1 /\ I227 <= 8 /\ -1 <= I233 - 1 /\ I225 <= I233 - 1 /\ -1 <= I227 - 1 /\ -1 <= I234 - 1 /\ I226 <= I234 - 1 /\ 1 <= I225 - 1 /\ 0 <= I224 - 1 /\ I224 - 1 <= I224 - 1 /\ -1 <= I235 - 1 /\ I225 <= I235 - 1 /\ -1 <= I236 - 1 /\ I226 <= I236 - 1]
74.43/73.63	  22) f9#(I237, I238, I239, I240, I241, I242) -> f9#(I237, I238, I239, I240 + 1, I243, I244) [I245 <= -1 /\ I240 <= 8 /\ -1 <= I246 - 1 /\ I238 <= I246 - 1 /\ -1 <= I240 - 1 /\ -1 <= I247 - 1 /\ I239 <= I247 - 1 /\ 1 <= I238 - 1 /\ 0 <= I237 - 1 /\ I237 - 1 <= I237 - 1 /\ -1 <= I248 - 1 /\ I238 <= I248 - 1 /\ -1 <= I249 - 1 /\ I239 <= I249 - 1]
74.43/73.63	  27) f10#(I306, I307, I308, I309, I310, I311) -> f10#(I306, I307, I308, I309 + 1, I312, I313) [I309 <= 8]
74.43/73.63	  28) f9#(I314, I315, I316, I317, I318, I319) -> f9#(I314, I315, I316, I317 + 1, I320, I321) [I317 <= 8]
74.43/73.63	  29) f8#(I322, I323, I324, I325, I326, I327) -> f10#(I322, I323, I324, 0, I328, I329) [-1 <= I330 - 1 /\ I324 <= 8 /\ I323 <= I330 - 1 /\ -1 <= I331 - 1 /\ I324 <= I331 - 1 /\ 0 <= I322 - 1]
74.43/73.63	  30) f7#(I332, I333, I334, I335, I336, I337) -> f9#(I332, I334, I333, 0, I338, I339) [8 <= I334 - 1 /\ 0 <= I332 - 1]
74.43/73.63	  31) f8#(I340, I341, I342, I343, I344, I345) -> f8#(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.63	  32) f8#(I352, I353, I354, I355, I356, I357) -> f8#(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.63	  33) f8#(I364, I365, I366, I367, I368, I369) -> f7#(I364, I366, I365 + 1, I370, I371, I372) [8 <= I366 - 1]
74.43/73.63	  34) f7#(I373, I374, I375, I376, I377, I378) -> f8#(I373, I375, 0, I379, I380, I381) [I375 <= 8]
74.43/73.63	  35) f5#(I382, I383, I384, I385, I386, I387) -> f7#(I382, 0, 0, I388, I389, I390) [0 <= I382 - 1]
74.43/73.63	
74.43/73.63	We have the following SCCs.
74.43/73.63	  { 31, 32, 33, 34 }
74.43/73.63	  { 21, 22, 28 }
74.43/73.63	  { 19, 20, 27 }
74.43/73.63	
74.43/73.63	DP problem for innermost termination.
74.43/73.63	P =
74.43/73.63	  f10#(I198, I199, I200, I201, I202, I203) -> f10#(I198, I199, I200, I201 + 1, I204, I205) [0 <= I206 - 1 /\ I201 <= 8 /\ -1 <= I207 - 1 /\ I199 <= I207 - 1 /\ -1 <= I201 - 1 /\ -1 <= I208 - 1 /\ I200 <= I208 - 1 /\ 0 <= I198 - 1 /\ I198 - 1 <= I198 - 1 /\ -1 <= I209 - 1 /\ I199 <= I209 - 1 /\ -1 <= I210 - 1 /\ I200 <= I210 - 1]
74.43/73.63	  f10#(I211, I212, I213, I214, I215, I216) -> f10#(I211, I212, I213, I214 + 1, I217, I218) [I219 <= -1 /\ I214 <= 8 /\ -1 <= I220 - 1 /\ I212 <= I220 - 1 /\ -1 <= I214 - 1 /\ -1 <= I221 - 1 /\ I213 <= I221 - 1 /\ 0 <= I211 - 1 /\ I211 - 1 <= I211 - 1 /\ -1 <= I222 - 1 /\ I212 <= I222 - 1 /\ -1 <= I223 - 1 /\ I213 <= I223 - 1]
74.43/73.63	  f10#(I306, I307, I308, I309, I310, I311) -> f10#(I306, I307, I308, I309 + 1, I312, I313) [I309 <= 8]
74.43/73.63	R = 
74.43/73.63	  init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
74.43/73.63	  f16(I0, I1, I2, I3, I4, I5) -> f16(I0, I1, I2, I3 + 1, I3 + 1, I5) [-1 <= y1 - 1 /\ I3 <= I5 - 1 /\ I2 <= y1 - 1 /\ -1 <= y2 - 1 /\ I3 <= y2 - 1 /\ 0 <= y3 - 1 /\ -1 <= y4 - 1 /\ I2 <= y4 - 1 /\ -1 <= y5 - 1 /\ I3 <= y5 - 1 /\ y6 <= 9 /\ I3 = I4]
74.43/73.63	  f16(I6, I7, I8, I9, I10, I11) -> f16(I6, I7, I8, I9 + 1, I9 + 1, I11) [-1 <= I12 - 1 /\ I9 <= I11 - 1 /\ I8 <= I12 - 1 /\ -1 <= I13 - 1 /\ I9 <= I13 - 1 /\ I14 <= -1 /\ -1 <= I15 - 1 /\ I8 <= I15 - 1 /\ -1 <= I16 - 1 /\ I9 <= I16 - 1 /\ I17 <= 9 /\ I9 = I10]
74.43/73.63	  f16(I18, I19, I20, I21, I22, I23) -> f16(I18, I19, I20, I21 + 1, I21 + 1, I23) [-1 <= I24 - 1 /\ I21 <= I23 - 1 /\ I20 <= I24 - 1 /\ -1 <= I25 - 1 /\ I21 <= I25 - 1 /\ I21 = I22]
74.43/73.63	  f16(I26, I27, I28, I29, I30, I31) -> f15(I26, I31, I28 + 1, I27, I32, I33) [I29 = I30 /\ I31 <= I29]
74.43/73.63	  f15(I34, I35, I36, I37, I38, I39) -> f16(I34, I37, I36, I34, I34, I35) [I36 <= I37 - 1]
74.43/73.63	  f13(I40, I41, I42, I43, I44, I45) -> f13(I40, I41, I42 + 1, I46, I47, I48) [-1 <= I49 - 1 /\ I42 <= 8 /\ I42 <= I49 - 1 /\ -1 <= I50 - 1 /\ I41 <= I50 - 1 /\ 0 <= I51 - 1 /\ -1 <= I52 - 1 /\ I42 <= I52 - 1 /\ -1 <= I53 - 1 /\ I41 <= I53 - 1 /\ I54 <= 9]
74.43/73.63	  f13(I55, I56, I57, I58, I59, I60) -> f13(I55, I56, I57 + 1, I61, I62, I63) [-1 <= I64 - 1 /\ I57 <= 8 /\ I57 <= I64 - 1 /\ -1 <= I65 - 1 /\ I56 <= I65 - 1 /\ I66 <= -1 /\ -1 <= I67 - 1 /\ I57 <= I67 - 1 /\ -1 <= I68 - 1 /\ I56 <= I68 - 1 /\ I69 <= 9]
74.43/73.63	  f13(I70, I71, I72, I73, I74, I75) -> f13(I70, I71, I72 + 1, I76, I77, I78) [-1 <= I79 - 1 /\ I72 <= 8 /\ I72 <= I79 - 1 /\ -1 <= I80 - 1 /\ I71 <= I80 - 1]
74.43/73.63	  f14(I81, I82, I83, I84, I85, I86) -> f15(I87, I88, I89, I90, I91, I92) [0 <= I81 - 3 * I93 /\ 8 <= I83 - 1 /\ -1 <= I81 - 1 /\ -1 <= I82 - 1 /\ 0 <= I82 - 3 * I94 /\ I81 - 3 * I93 <= 2 /\ I82 - 3 * I94 <= 2 /\ 0 <= I82 - 3 * I95 /\ I82 - 3 * I95 <= 2 /\ 0 <= I82 - 3 * I96 /\ I82 - 3 * I96 <= 2 /\ 0 <= I81 - 3 * I97 /\ I81 - 3 * I97 <= 2 /\ I81 - 3 * I98 <= 2 /\ 0 <= I81 - 3 * I98 /\ I82 - (I82 - 3 * I95) = I87 /\ I82 - (I82 - 3 * I96) + 3 = I88 /\ I81 - (I81 - 3 * I97) = I89 /\ I81 - (I81 - 3 * I98) + 3 = I90]
74.43/73.63	  f13(I99, I100, I101, I102, I103, I104) -> f14(I99, I100, I101, I105, I106, I107) [0 <= I99 - 3 * I108 /\ 8 <= I101 - 1 /\ -1 <= I99 - 1 /\ 0 <= I100 - 3 * I109 /\ -1 <= I100 - 1]
74.43/73.63	  f12(I110, I111, I112, I113, I114, I115) -> f13(I110, I111, 0, I116, I117, I118) [8 <= I112 - 1]
74.43/73.63	  f12(I119, I120, I121, I122, I123, I124) -> f12(I119, I120, I121 + 1, I125, I126, I127) [-1 <= I128 - 1 /\ I121 <= 8 /\ I119 <= I128 - 1 /\ -1 <= I129 - 1 /\ I121 <= I129 - 1 /\ 0 <= I130 - 1 /\ -1 <= I131 - 1 /\ I119 <= I131 - 1 /\ -1 <= I132 - 1 /\ I121 <= I132 - 1 /\ I133 <= 9]
74.43/73.63	  f12(I134, I135, I136, I137, I138, I139) -> f12(I134, I135, I136 + 1, I140, I141, I142) [-1 <= I143 - 1 /\ I136 <= 8 /\ I134 <= I143 - 1 /\ -1 <= I144 - 1 /\ I136 <= I144 - 1 /\ I145 <= -1 /\ -1 <= I146 - 1 /\ I134 <= I146 - 1 /\ -1 <= I147 - 1 /\ I136 <= I147 - 1 /\ I148 <= 9]
74.43/73.63	  f12(I149, I150, I151, I152, I153, I154) -> f12(I149, I150, I151 + 1, I155, I156, I157) [-1 <= I158 - 1 /\ I151 <= 8 /\ I149 <= I158 - 1 /\ -1 <= I159 - 1 /\ I151 <= I159 - 1]
74.43/73.63	  f11(I160, I161, I162, I163, I164, I165) -> f12(I160, I161, 0, I166, I167, I168) [8 <= I162 - 1]
74.43/73.63	  f11(I169, I170, I171, I172, I173, I174) -> f11(I169, I170, I171 + 1, I175, I176, I177) [I171 <= 8]
74.43/73.63	  f8(I178, I179, I180, I181, I182, I183) -> f11(I179, I180, 0, I184, I185, I186) [-1 <= I187 - 1 /\ I180 <= 8 /\ I179 <= I187 - 1 /\ -1 <= I188 - 1 /\ I180 <= I188 - 1 /\ 0 <= I178 - 1]
74.43/73.63	  f7(I189, I190, I191, I192, I193, I194) -> f11(I191, I190, 0, I195, I196, I197) [8 <= I191 - 1 /\ 0 <= I189 - 1]
74.43/73.63	  f10(I198, I199, I200, I201, I202, I203) -> f10(I198, I199, I200, I201 + 1, I204, I205) [0 <= I206 - 1 /\ I201 <= 8 /\ -1 <= I207 - 1 /\ I199 <= I207 - 1 /\ -1 <= I201 - 1 /\ -1 <= I208 - 1 /\ I200 <= I208 - 1 /\ 0 <= I198 - 1 /\ I198 - 1 <= I198 - 1 /\ -1 <= I209 - 1 /\ I199 <= I209 - 1 /\ -1 <= I210 - 1 /\ I200 <= I210 - 1]
74.43/73.63	  f10(I211, I212, I213, I214, I215, I216) -> f10(I211, I212, I213, I214 + 1, I217, I218) [I219 <= -1 /\ I214 <= 8 /\ -1 <= I220 - 1 /\ I212 <= I220 - 1 /\ -1 <= I214 - 1 /\ -1 <= I221 - 1 /\ I213 <= I221 - 1 /\ 0 <= I211 - 1 /\ I211 - 1 <= I211 - 1 /\ -1 <= I222 - 1 /\ I212 <= I222 - 1 /\ -1 <= I223 - 1 /\ I213 <= I223 - 1]
74.43/73.63	  f9(I224, I225, I226, I227, I228, I229) -> f9(I224, I225, I226, I227 + 1, I230, I231) [0 <= I232 - 1 /\ I227 <= 8 /\ -1 <= I233 - 1 /\ I225 <= I233 - 1 /\ -1 <= I227 - 1 /\ -1 <= I234 - 1 /\ I226 <= I234 - 1 /\ 1 <= I225 - 1 /\ 0 <= I224 - 1 /\ I224 - 1 <= I224 - 1 /\ -1 <= I235 - 1 /\ I225 <= I235 - 1 /\ -1 <= I236 - 1 /\ I226 <= I236 - 1]
74.43/73.63	  f9(I237, I238, I239, I240, I241, I242) -> f9(I237, I238, I239, I240 + 1, I243, I244) [I245 <= -1 /\ I240 <= 8 /\ -1 <= I246 - 1 /\ I238 <= I246 - 1 /\ -1 <= I240 - 1 /\ -1 <= I247 - 1 /\ I239 <= I247 - 1 /\ 1 <= I238 - 1 /\ 0 <= I237 - 1 /\ I237 - 1 <= I237 - 1 /\ -1 <= I248 - 1 /\ I238 <= I248 - 1 /\ -1 <= I249 - 1 /\ I239 <= I249 - 1]
74.43/73.63	  f10(I250, I251, I252, I253, I254, I255) -> f5(I250 - 1, I256, I257, I258, I259, I260) [0 <= I261 - 1 /\ I253 <= 8 /\ -1 <= I262 - 1 /\ I251 <= I262 - 1 /\ -1 <= I253 - 1 /\ -1 <= I263 - 1 /\ I252 <= I263 - 1 /\ I250 - 1 <= I250 - 1 /\ 0 <= I250 - 1]
74.43/73.63	  f10(I264, I265, I266, I267, I268, I269) -> f5(I264 - 1, I270, I271, I272, I273, I274) [I275 <= -1 /\ I267 <= 8 /\ -1 <= I276 - 1 /\ I265 <= I276 - 1 /\ -1 <= I267 - 1 /\ -1 <= I277 - 1 /\ I266 <= I277 - 1 /\ I264 - 1 <= I264 - 1 /\ 0 <= I264 - 1]
74.43/73.63	  f9(I278, I279, I280, I281, I282, I283) -> f5(I278 - 1, I284, I285, I286, I287, I288) [0 <= I289 - 1 /\ I281 <= 8 /\ -1 <= I290 - 1 /\ I279 <= I290 - 1 /\ -1 <= I281 - 1 /\ -1 <= I291 - 1 /\ I280 <= I291 - 1 /\ 1 <= I279 - 1 /\ I278 - 1 <= I278 - 1 /\ 0 <= I278 - 1]
74.43/73.63	  f9(I292, I293, I294, I295, I296, I297) -> f5(I292 - 1, I298, I299, I300, I301, I302) [I303 <= -1 /\ I295 <= 8 /\ -1 <= I304 - 1 /\ I293 <= I304 - 1 /\ -1 <= I295 - 1 /\ -1 <= I305 - 1 /\ I294 <= I305 - 1 /\ 1 <= I293 - 1 /\ I292 - 1 <= I292 - 1 /\ 0 <= I292 - 1]
74.43/73.63	  f10(I306, I307, I308, I309, I310, I311) -> f10(I306, I307, I308, I309 + 1, I312, I313) [I309 <= 8]
74.43/73.63	  f9(I314, I315, I316, I317, I318, I319) -> f9(I314, I315, I316, I317 + 1, I320, I321) [I317 <= 8]
74.43/73.63	  f8(I322, I323, I324, I325, I326, I327) -> f10(I322, I323, I324, 0, I328, I329) [-1 <= I330 - 1 /\ I324 <= 8 /\ I323 <= I330 - 1 /\ -1 <= I331 - 1 /\ I324 <= I331 - 1 /\ 0 <= I322 - 1]
74.43/73.63	  f7(I332, I333, I334, I335, I336, I337) -> f9(I332, I334, I333, 0, I338, I339) [8 <= I334 - 1 /\ 0 <= I332 - 1]
74.43/73.63	  f8(I340, I341, I342, I343, I344, I345) -> f8(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.63	  f8(I352, I353, I354, I355, I356, I357) -> f8(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.63	  f8(I364, I365, I366, I367, I368, I369) -> f7(I364, I366, I365 + 1, I370, I371, I372) [8 <= I366 - 1]
74.43/73.63	  f7(I373, I374, I375, I376, I377, I378) -> f8(I373, I375, 0, I379, I380, I381) [I375 <= 8]
74.43/73.63	  f5(I382, I383, I384, I385, I386, I387) -> f7(I382, 0, 0, I388, I389, I390) [0 <= I382 - 1]
74.43/73.63	  f6(I391, I392, I393, I394, I395, I396) -> f6(I397, I392 + 1, I393, I394 + 1, I395, I398) [I393 <= 8 /\ I394 <= 8 /\ I394 <= I399 - 1 /\ -1 <= I399 - 1 /\ I397 <= I391 /\ 0 <= I391 - 1 /\ 0 <= I397 - 1]
74.43/73.63	  f6(I400, I401, I402, I403, I404, I405) -> f6(I406, I401, I402, I403 + 1, I404, I407) [I402 <= 8 /\ I403 <= 8 /\ -1 <= I408 - 1 /\ 0 <= I409 - 1 /\ I403 <= I408 - 1 /\ I406 <= I400 /\ 0 <= I400 - 1 /\ 0 <= I406 - 1]
74.43/73.63	  f6(I410, I411, I412, I413, I414, I415) -> f6(I416, I411, I412, I413 + 1, I414, I417) [I412 <= 8 /\ I413 <= 8 /\ -1 <= I418 - 1 /\ I419 <= -1 /\ I413 <= I418 - 1 /\ I416 <= I410 /\ 0 <= I410 - 1 /\ 0 <= I416 - 1]
74.43/73.63	  f6(I420, I421, I422, I423, I424, I425) -> f4(I426, I421, I422 + 1, I422 + 1, I424, I427) [0 <= I426 - 1 /\ 0 <= I420 - 1 /\ 8 <= I423 - 1 /\ I426 <= I420]
74.43/73.63	  f4(I428, I429, I430, I431, I432, I433) -> f6(I434, I429, I430, 0, I432, I435) [I430 = I431 /\ 0 <= I434 - 1 /\ 0 <= I428 - 1 /\ I430 <= 8 /\ I434 <= I428]
74.43/73.63	  f4(I436, I437, I438, I439, I440, I441) -> f5(I437, I442, I443, I444, I445, I446) [I438 = I439 /\ 0 <= I436 - 1 /\ 1 <= I440 - 1 /\ 8 <= I438 - 1]
74.43/73.63	  f2(I447, I448, I449, I450, I451, I452) -> f4(I453, 0, 0, 0, I449, I454) [0 <= I453 - 1 /\ 0 <= I447 - 1 /\ 8 <= I448 - 1 /\ I453 <= I447]
74.43/73.63	  f3(I455, I456, I457, I458, I459, I460) -> f3(I461, I456, I457 + 1, I458, I462, I463) [I456 <= 8 /\ I457 <= 8 /\ -1 <= I464 - 1 /\ I457 <= I464 - 1 /\ I457 <= I465 - 1 /\ -1 <= I465 - 1 /\ I461 <= I455 /\ 0 <= I455 - 1 /\ 0 <= I461 - 1]
74.43/73.63	  f3(I466, I467, I468, I469, I470, I471) -> f2(I472, I467 + 1, I469, I473, I474, I475) [0 <= I472 - 1 /\ 0 <= I466 - 1 /\ 8 <= I468 - 1 /\ I472 <= I466]
74.43/73.63	  f2(I476, I477, I478, I479, I480, I481) -> f3(I482, I477, 0, I478, I483, I484) [0 <= I482 - 1 /\ 0 <= I476 - 1 /\ I477 <= 8 /\ I482 <= I476]
74.43/73.63	  f1(I485, I486, I487, I488, I489, I490) -> f2(I491, 0, I486, I492, I493, I494) [0 <= I491 - 1 /\ 0 <= I485 - 1 /\ 1 <= I486 - 1 /\ I491 <= I485]
74.43/73.63	
74.43/73.63	We use the reverse value criterion with the projection function NU:
74.43/73.63	  NU[f10#(z1,z2,z3,z4,z5,z6)] = 8 + -1 * z4
74.43/73.63	
74.43/73.63	This gives the following inequalities:
74.43/73.63	  0 <= I206 - 1 /\ I201 <= 8 /\ -1 <= I207 - 1 /\ I199 <= I207 - 1 /\ -1 <= I201 - 1 /\ -1 <= I208 - 1 /\ I200 <= I208 - 1 /\ 0 <= I198 - 1 /\ I198 - 1 <= I198 - 1 /\ -1 <= I209 - 1 /\ I199 <= I209 - 1 /\ -1 <= I210 - 1 /\ I200 <= I210 - 1  ==>  8 + -1 * I201 > 8 + -1 * (I201 + 1)  with  8 + -1 * I201 >= 0
74.43/73.63	  I219 <= -1 /\ I214 <= 8 /\ -1 <= I220 - 1 /\ I212 <= I220 - 1 /\ -1 <= I214 - 1 /\ -1 <= I221 - 1 /\ I213 <= I221 - 1 /\ 0 <= I211 - 1 /\ I211 - 1 <= I211 - 1 /\ -1 <= I222 - 1 /\ I212 <= I222 - 1 /\ -1 <= I223 - 1 /\ I213 <= I223 - 1  ==>  8 + -1 * I214 > 8 + -1 * (I214 + 1)  with  8 + -1 * I214 >= 0
74.43/73.63	  I309 <= 8  ==>  8 + -1 * I309 > 8 + -1 * (I309 + 1)  with  8 + -1 * I309 >= 0
74.43/73.63	
74.43/73.63	All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed.
74.43/73.63	
74.43/73.63	DP problem for innermost termination.
74.43/73.63	P =
74.43/73.63	  f9#(I224, I225, I226, I227, I228, I229) -> f9#(I224, I225, I226, I227 + 1, I230, I231) [0 <= I232 - 1 /\ I227 <= 8 /\ -1 <= I233 - 1 /\ I225 <= I233 - 1 /\ -1 <= I227 - 1 /\ -1 <= I234 - 1 /\ I226 <= I234 - 1 /\ 1 <= I225 - 1 /\ 0 <= I224 - 1 /\ I224 - 1 <= I224 - 1 /\ -1 <= I235 - 1 /\ I225 <= I235 - 1 /\ -1 <= I236 - 1 /\ I226 <= I236 - 1]
74.43/73.63	  f9#(I237, I238, I239, I240, I241, I242) -> f9#(I237, I238, I239, I240 + 1, I243, I244) [I245 <= -1 /\ I240 <= 8 /\ -1 <= I246 - 1 /\ I238 <= I246 - 1 /\ -1 <= I240 - 1 /\ -1 <= I247 - 1 /\ I239 <= I247 - 1 /\ 1 <= I238 - 1 /\ 0 <= I237 - 1 /\ I237 - 1 <= I237 - 1 /\ -1 <= I248 - 1 /\ I238 <= I248 - 1 /\ -1 <= I249 - 1 /\ I239 <= I249 - 1]
74.43/73.63	  f9#(I314, I315, I316, I317, I318, I319) -> f9#(I314, I315, I316, I317 + 1, I320, I321) [I317 <= 8]
74.43/73.63	R = 
74.43/73.63	  init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
74.43/73.63	  f16(I0, I1, I2, I3, I4, I5) -> f16(I0, I1, I2, I3 + 1, I3 + 1, I5) [-1 <= y1 - 1 /\ I3 <= I5 - 1 /\ I2 <= y1 - 1 /\ -1 <= y2 - 1 /\ I3 <= y2 - 1 /\ 0 <= y3 - 1 /\ -1 <= y4 - 1 /\ I2 <= y4 - 1 /\ -1 <= y5 - 1 /\ I3 <= y5 - 1 /\ y6 <= 9 /\ I3 = I4]
74.43/73.63	  f16(I6, I7, I8, I9, I10, I11) -> f16(I6, I7, I8, I9 + 1, I9 + 1, I11) [-1 <= I12 - 1 /\ I9 <= I11 - 1 /\ I8 <= I12 - 1 /\ -1 <= I13 - 1 /\ I9 <= I13 - 1 /\ I14 <= -1 /\ -1 <= I15 - 1 /\ I8 <= I15 - 1 /\ -1 <= I16 - 1 /\ I9 <= I16 - 1 /\ I17 <= 9 /\ I9 = I10]
74.43/73.63	  f16(I18, I19, I20, I21, I22, I23) -> f16(I18, I19, I20, I21 + 1, I21 + 1, I23) [-1 <= I24 - 1 /\ I21 <= I23 - 1 /\ I20 <= I24 - 1 /\ -1 <= I25 - 1 /\ I21 <= I25 - 1 /\ I21 = I22]
74.43/73.63	  f16(I26, I27, I28, I29, I30, I31) -> f15(I26, I31, I28 + 1, I27, I32, I33) [I29 = I30 /\ I31 <= I29]
74.43/73.63	  f15(I34, I35, I36, I37, I38, I39) -> f16(I34, I37, I36, I34, I34, I35) [I36 <= I37 - 1]
74.43/73.63	  f13(I40, I41, I42, I43, I44, I45) -> f13(I40, I41, I42 + 1, I46, I47, I48) [-1 <= I49 - 1 /\ I42 <= 8 /\ I42 <= I49 - 1 /\ -1 <= I50 - 1 /\ I41 <= I50 - 1 /\ 0 <= I51 - 1 /\ -1 <= I52 - 1 /\ I42 <= I52 - 1 /\ -1 <= I53 - 1 /\ I41 <= I53 - 1 /\ I54 <= 9]
74.43/73.63	  f13(I55, I56, I57, I58, I59, I60) -> f13(I55, I56, I57 + 1, I61, I62, I63) [-1 <= I64 - 1 /\ I57 <= 8 /\ I57 <= I64 - 1 /\ -1 <= I65 - 1 /\ I56 <= I65 - 1 /\ I66 <= -1 /\ -1 <= I67 - 1 /\ I57 <= I67 - 1 /\ -1 <= I68 - 1 /\ I56 <= I68 - 1 /\ I69 <= 9]
74.43/73.63	  f13(I70, I71, I72, I73, I74, I75) -> f13(I70, I71, I72 + 1, I76, I77, I78) [-1 <= I79 - 1 /\ I72 <= 8 /\ I72 <= I79 - 1 /\ -1 <= I80 - 1 /\ I71 <= I80 - 1]
74.43/73.63	  f14(I81, I82, I83, I84, I85, I86) -> f15(I87, I88, I89, I90, I91, I92) [0 <= I81 - 3 * I93 /\ 8 <= I83 - 1 /\ -1 <= I81 - 1 /\ -1 <= I82 - 1 /\ 0 <= I82 - 3 * I94 /\ I81 - 3 * I93 <= 2 /\ I82 - 3 * I94 <= 2 /\ 0 <= I82 - 3 * I95 /\ I82 - 3 * I95 <= 2 /\ 0 <= I82 - 3 * I96 /\ I82 - 3 * I96 <= 2 /\ 0 <= I81 - 3 * I97 /\ I81 - 3 * I97 <= 2 /\ I81 - 3 * I98 <= 2 /\ 0 <= I81 - 3 * I98 /\ I82 - (I82 - 3 * I95) = I87 /\ I82 - (I82 - 3 * I96) + 3 = I88 /\ I81 - (I81 - 3 * I97) = I89 /\ I81 - (I81 - 3 * I98) + 3 = I90]
74.43/73.63	  f13(I99, I100, I101, I102, I103, I104) -> f14(I99, I100, I101, I105, I106, I107) [0 <= I99 - 3 * I108 /\ 8 <= I101 - 1 /\ -1 <= I99 - 1 /\ 0 <= I100 - 3 * I109 /\ -1 <= I100 - 1]
74.43/73.63	  f12(I110, I111, I112, I113, I114, I115) -> f13(I110, I111, 0, I116, I117, I118) [8 <= I112 - 1]
74.43/73.63	  f12(I119, I120, I121, I122, I123, I124) -> f12(I119, I120, I121 + 1, I125, I126, I127) [-1 <= I128 - 1 /\ I121 <= 8 /\ I119 <= I128 - 1 /\ -1 <= I129 - 1 /\ I121 <= I129 - 1 /\ 0 <= I130 - 1 /\ -1 <= I131 - 1 /\ I119 <= I131 - 1 /\ -1 <= I132 - 1 /\ I121 <= I132 - 1 /\ I133 <= 9]
74.43/73.63	  f12(I134, I135, I136, I137, I138, I139) -> f12(I134, I135, I136 + 1, I140, I141, I142) [-1 <= I143 - 1 /\ I136 <= 8 /\ I134 <= I143 - 1 /\ -1 <= I144 - 1 /\ I136 <= I144 - 1 /\ I145 <= -1 /\ -1 <= I146 - 1 /\ I134 <= I146 - 1 /\ -1 <= I147 - 1 /\ I136 <= I147 - 1 /\ I148 <= 9]
74.43/73.63	  f12(I149, I150, I151, I152, I153, I154) -> f12(I149, I150, I151 + 1, I155, I156, I157) [-1 <= I158 - 1 /\ I151 <= 8 /\ I149 <= I158 - 1 /\ -1 <= I159 - 1 /\ I151 <= I159 - 1]
74.43/73.63	  f11(I160, I161, I162, I163, I164, I165) -> f12(I160, I161, 0, I166, I167, I168) [8 <= I162 - 1]
74.43/73.63	  f11(I169, I170, I171, I172, I173, I174) -> f11(I169, I170, I171 + 1, I175, I176, I177) [I171 <= 8]
74.43/73.63	  f8(I178, I179, I180, I181, I182, I183) -> f11(I179, I180, 0, I184, I185, I186) [-1 <= I187 - 1 /\ I180 <= 8 /\ I179 <= I187 - 1 /\ -1 <= I188 - 1 /\ I180 <= I188 - 1 /\ 0 <= I178 - 1]
74.43/73.63	  f7(I189, I190, I191, I192, I193, I194) -> f11(I191, I190, 0, I195, I196, I197) [8 <= I191 - 1 /\ 0 <= I189 - 1]
74.43/73.63	  f10(I198, I199, I200, I201, I202, I203) -> f10(I198, I199, I200, I201 + 1, I204, I205) [0 <= I206 - 1 /\ I201 <= 8 /\ -1 <= I207 - 1 /\ I199 <= I207 - 1 /\ -1 <= I201 - 1 /\ -1 <= I208 - 1 /\ I200 <= I208 - 1 /\ 0 <= I198 - 1 /\ I198 - 1 <= I198 - 1 /\ -1 <= I209 - 1 /\ I199 <= I209 - 1 /\ -1 <= I210 - 1 /\ I200 <= I210 - 1]
74.43/73.63	  f10(I211, I212, I213, I214, I215, I216) -> f10(I211, I212, I213, I214 + 1, I217, I218) [I219 <= -1 /\ I214 <= 8 /\ -1 <= I220 - 1 /\ I212 <= I220 - 1 /\ -1 <= I214 - 1 /\ -1 <= I221 - 1 /\ I213 <= I221 - 1 /\ 0 <= I211 - 1 /\ I211 - 1 <= I211 - 1 /\ -1 <= I222 - 1 /\ I212 <= I222 - 1 /\ -1 <= I223 - 1 /\ I213 <= I223 - 1]
74.43/73.63	  f9(I224, I225, I226, I227, I228, I229) -> f9(I224, I225, I226, I227 + 1, I230, I231) [0 <= I232 - 1 /\ I227 <= 8 /\ -1 <= I233 - 1 /\ I225 <= I233 - 1 /\ -1 <= I227 - 1 /\ -1 <= I234 - 1 /\ I226 <= I234 - 1 /\ 1 <= I225 - 1 /\ 0 <= I224 - 1 /\ I224 - 1 <= I224 - 1 /\ -1 <= I235 - 1 /\ I225 <= I235 - 1 /\ -1 <= I236 - 1 /\ I226 <= I236 - 1]
74.43/73.63	  f9(I237, I238, I239, I240, I241, I242) -> f9(I237, I238, I239, I240 + 1, I243, I244) [I245 <= -1 /\ I240 <= 8 /\ -1 <= I246 - 1 /\ I238 <= I246 - 1 /\ -1 <= I240 - 1 /\ -1 <= I247 - 1 /\ I239 <= I247 - 1 /\ 1 <= I238 - 1 /\ 0 <= I237 - 1 /\ I237 - 1 <= I237 - 1 /\ -1 <= I248 - 1 /\ I238 <= I248 - 1 /\ -1 <= I249 - 1 /\ I239 <= I249 - 1]
74.43/73.63	  f10(I250, I251, I252, I253, I254, I255) -> f5(I250 - 1, I256, I257, I258, I259, I260) [0 <= I261 - 1 /\ I253 <= 8 /\ -1 <= I262 - 1 /\ I251 <= I262 - 1 /\ -1 <= I253 - 1 /\ -1 <= I263 - 1 /\ I252 <= I263 - 1 /\ I250 - 1 <= I250 - 1 /\ 0 <= I250 - 1]
74.43/73.63	  f10(I264, I265, I266, I267, I268, I269) -> f5(I264 - 1, I270, I271, I272, I273, I274) [I275 <= -1 /\ I267 <= 8 /\ -1 <= I276 - 1 /\ I265 <= I276 - 1 /\ -1 <= I267 - 1 /\ -1 <= I277 - 1 /\ I266 <= I277 - 1 /\ I264 - 1 <= I264 - 1 /\ 0 <= I264 - 1]
74.43/73.63	  f9(I278, I279, I280, I281, I282, I283) -> f5(I278 - 1, I284, I285, I286, I287, I288) [0 <= I289 - 1 /\ I281 <= 8 /\ -1 <= I290 - 1 /\ I279 <= I290 - 1 /\ -1 <= I281 - 1 /\ -1 <= I291 - 1 /\ I280 <= I291 - 1 /\ 1 <= I279 - 1 /\ I278 - 1 <= I278 - 1 /\ 0 <= I278 - 1]
74.43/73.63	  f9(I292, I293, I294, I295, I296, I297) -> f5(I292 - 1, I298, I299, I300, I301, I302) [I303 <= -1 /\ I295 <= 8 /\ -1 <= I304 - 1 /\ I293 <= I304 - 1 /\ -1 <= I295 - 1 /\ -1 <= I305 - 1 /\ I294 <= I305 - 1 /\ 1 <= I293 - 1 /\ I292 - 1 <= I292 - 1 /\ 0 <= I292 - 1]
74.43/73.63	  f10(I306, I307, I308, I309, I310, I311) -> f10(I306, I307, I308, I309 + 1, I312, I313) [I309 <= 8]
74.43/73.63	  f9(I314, I315, I316, I317, I318, I319) -> f9(I314, I315, I316, I317 + 1, I320, I321) [I317 <= 8]
74.43/73.63	  f8(I322, I323, I324, I325, I326, I327) -> f10(I322, I323, I324, 0, I328, I329) [-1 <= I330 - 1 /\ I324 <= 8 /\ I323 <= I330 - 1 /\ -1 <= I331 - 1 /\ I324 <= I331 - 1 /\ 0 <= I322 - 1]
74.43/73.63	  f7(I332, I333, I334, I335, I336, I337) -> f9(I332, I334, I333, 0, I338, I339) [8 <= I334 - 1 /\ 0 <= I332 - 1]
74.43/73.63	  f8(I340, I341, I342, I343, I344, I345) -> f8(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.63	  f8(I352, I353, I354, I355, I356, I357) -> f8(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.63	  f8(I364, I365, I366, I367, I368, I369) -> f7(I364, I366, I365 + 1, I370, I371, I372) [8 <= I366 - 1]
74.43/73.63	  f7(I373, I374, I375, I376, I377, I378) -> f8(I373, I375, 0, I379, I380, I381) [I375 <= 8]
74.43/73.63	  f5(I382, I383, I384, I385, I386, I387) -> f7(I382, 0, 0, I388, I389, I390) [0 <= I382 - 1]
74.43/73.63	  f6(I391, I392, I393, I394, I395, I396) -> f6(I397, I392 + 1, I393, I394 + 1, I395, I398) [I393 <= 8 /\ I394 <= 8 /\ I394 <= I399 - 1 /\ -1 <= I399 - 1 /\ I397 <= I391 /\ 0 <= I391 - 1 /\ 0 <= I397 - 1]
74.43/73.63	  f6(I400, I401, I402, I403, I404, I405) -> f6(I406, I401, I402, I403 + 1, I404, I407) [I402 <= 8 /\ I403 <= 8 /\ -1 <= I408 - 1 /\ 0 <= I409 - 1 /\ I403 <= I408 - 1 /\ I406 <= I400 /\ 0 <= I400 - 1 /\ 0 <= I406 - 1]
74.43/73.63	  f6(I410, I411, I412, I413, I414, I415) -> f6(I416, I411, I412, I413 + 1, I414, I417) [I412 <= 8 /\ I413 <= 8 /\ -1 <= I418 - 1 /\ I419 <= -1 /\ I413 <= I418 - 1 /\ I416 <= I410 /\ 0 <= I410 - 1 /\ 0 <= I416 - 1]
74.43/73.63	  f6(I420, I421, I422, I423, I424, I425) -> f4(I426, I421, I422 + 1, I422 + 1, I424, I427) [0 <= I426 - 1 /\ 0 <= I420 - 1 /\ 8 <= I423 - 1 /\ I426 <= I420]
74.43/73.63	  f4(I428, I429, I430, I431, I432, I433) -> f6(I434, I429, I430, 0, I432, I435) [I430 = I431 /\ 0 <= I434 - 1 /\ 0 <= I428 - 1 /\ I430 <= 8 /\ I434 <= I428]
74.43/73.63	  f4(I436, I437, I438, I439, I440, I441) -> f5(I437, I442, I443, I444, I445, I446) [I438 = I439 /\ 0 <= I436 - 1 /\ 1 <= I440 - 1 /\ 8 <= I438 - 1]
74.43/73.63	  f2(I447, I448, I449, I450, I451, I452) -> f4(I453, 0, 0, 0, I449, I454) [0 <= I453 - 1 /\ 0 <= I447 - 1 /\ 8 <= I448 - 1 /\ I453 <= I447]
74.43/73.63	  f3(I455, I456, I457, I458, I459, I460) -> f3(I461, I456, I457 + 1, I458, I462, I463) [I456 <= 8 /\ I457 <= 8 /\ -1 <= I464 - 1 /\ I457 <= I464 - 1 /\ I457 <= I465 - 1 /\ -1 <= I465 - 1 /\ I461 <= I455 /\ 0 <= I455 - 1 /\ 0 <= I461 - 1]
74.43/73.63	  f3(I466, I467, I468, I469, I470, I471) -> f2(I472, I467 + 1, I469, I473, I474, I475) [0 <= I472 - 1 /\ 0 <= I466 - 1 /\ 8 <= I468 - 1 /\ I472 <= I466]
74.43/73.63	  f2(I476, I477, I478, I479, I480, I481) -> f3(I482, I477, 0, I478, I483, I484) [0 <= I482 - 1 /\ 0 <= I476 - 1 /\ I477 <= 8 /\ I482 <= I476]
74.43/73.63	  f1(I485, I486, I487, I488, I489, I490) -> f2(I491, 0, I486, I492, I493, I494) [0 <= I491 - 1 /\ 0 <= I485 - 1 /\ 1 <= I486 - 1 /\ I491 <= I485]
74.43/73.63	
74.43/73.63	We use the reverse value criterion with the projection function NU:
74.43/73.63	  NU[f9#(z1,z2,z3,z4,z5,z6)] = 8 + -1 * z4
74.43/73.63	
74.43/73.63	This gives the following inequalities:
74.43/73.63	  0 <= I232 - 1 /\ I227 <= 8 /\ -1 <= I233 - 1 /\ I225 <= I233 - 1 /\ -1 <= I227 - 1 /\ -1 <= I234 - 1 /\ I226 <= I234 - 1 /\ 1 <= I225 - 1 /\ 0 <= I224 - 1 /\ I224 - 1 <= I224 - 1 /\ -1 <= I235 - 1 /\ I225 <= I235 - 1 /\ -1 <= I236 - 1 /\ I226 <= I236 - 1  ==>  8 + -1 * I227 > 8 + -1 * (I227 + 1)  with  8 + -1 * I227 >= 0
74.43/73.63	  I245 <= -1 /\ I240 <= 8 /\ -1 <= I246 - 1 /\ I238 <= I246 - 1 /\ -1 <= I240 - 1 /\ -1 <= I247 - 1 /\ I239 <= I247 - 1 /\ 1 <= I238 - 1 /\ 0 <= I237 - 1 /\ I237 - 1 <= I237 - 1 /\ -1 <= I248 - 1 /\ I238 <= I248 - 1 /\ -1 <= I249 - 1 /\ I239 <= I249 - 1  ==>  8 + -1 * I240 > 8 + -1 * (I240 + 1)  with  8 + -1 * I240 >= 0
74.43/73.63	  I317 <= 8  ==>  8 + -1 * I317 > 8 + -1 * (I317 + 1)  with  8 + -1 * I317 >= 0
74.43/73.63	
74.43/73.63	All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed.
74.43/73.63	
74.43/73.63	DP problem for innermost termination.
74.43/73.63	P =
74.43/73.63	  f8#(I340, I341, I342, I343, I344, I345) -> f8#(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.63	  f8#(I352, I353, I354, I355, I356, I357) -> f8#(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.63	  f8#(I364, I365, I366, I367, I368, I369) -> f7#(I364, I366, I365 + 1, I370, I371, I372) [8 <= I366 - 1]
74.43/73.63	  f7#(I373, I374, I375, I376, I377, I378) -> f8#(I373, I375, 0, I379, I380, I381) [I375 <= 8]
74.43/73.63	R = 
74.43/73.63	  init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
74.43/73.63	  f16(I0, I1, I2, I3, I4, I5) -> f16(I0, I1, I2, I3 + 1, I3 + 1, I5) [-1 <= y1 - 1 /\ I3 <= I5 - 1 /\ I2 <= y1 - 1 /\ -1 <= y2 - 1 /\ I3 <= y2 - 1 /\ 0 <= y3 - 1 /\ -1 <= y4 - 1 /\ I2 <= y4 - 1 /\ -1 <= y5 - 1 /\ I3 <= y5 - 1 /\ y6 <= 9 /\ I3 = I4]
74.43/73.63	  f16(I6, I7, I8, I9, I10, I11) -> f16(I6, I7, I8, I9 + 1, I9 + 1, I11) [-1 <= I12 - 1 /\ I9 <= I11 - 1 /\ I8 <= I12 - 1 /\ -1 <= I13 - 1 /\ I9 <= I13 - 1 /\ I14 <= -1 /\ -1 <= I15 - 1 /\ I8 <= I15 - 1 /\ -1 <= I16 - 1 /\ I9 <= I16 - 1 /\ I17 <= 9 /\ I9 = I10]
74.43/73.63	  f16(I18, I19, I20, I21, I22, I23) -> f16(I18, I19, I20, I21 + 1, I21 + 1, I23) [-1 <= I24 - 1 /\ I21 <= I23 - 1 /\ I20 <= I24 - 1 /\ -1 <= I25 - 1 /\ I21 <= I25 - 1 /\ I21 = I22]
74.43/73.63	  f16(I26, I27, I28, I29, I30, I31) -> f15(I26, I31, I28 + 1, I27, I32, I33) [I29 = I30 /\ I31 <= I29]
74.43/73.63	  f15(I34, I35, I36, I37, I38, I39) -> f16(I34, I37, I36, I34, I34, I35) [I36 <= I37 - 1]
74.43/73.63	  f13(I40, I41, I42, I43, I44, I45) -> f13(I40, I41, I42 + 1, I46, I47, I48) [-1 <= I49 - 1 /\ I42 <= 8 /\ I42 <= I49 - 1 /\ -1 <= I50 - 1 /\ I41 <= I50 - 1 /\ 0 <= I51 - 1 /\ -1 <= I52 - 1 /\ I42 <= I52 - 1 /\ -1 <= I53 - 1 /\ I41 <= I53 - 1 /\ I54 <= 9]
74.43/73.63	  f13(I55, I56, I57, I58, I59, I60) -> f13(I55, I56, I57 + 1, I61, I62, I63) [-1 <= I64 - 1 /\ I57 <= 8 /\ I57 <= I64 - 1 /\ -1 <= I65 - 1 /\ I56 <= I65 - 1 /\ I66 <= -1 /\ -1 <= I67 - 1 /\ I57 <= I67 - 1 /\ -1 <= I68 - 1 /\ I56 <= I68 - 1 /\ I69 <= 9]
74.43/73.63	  f13(I70, I71, I72, I73, I74, I75) -> f13(I70, I71, I72 + 1, I76, I77, I78) [-1 <= I79 - 1 /\ I72 <= 8 /\ I72 <= I79 - 1 /\ -1 <= I80 - 1 /\ I71 <= I80 - 1]
74.43/73.63	  f14(I81, I82, I83, I84, I85, I86) -> f15(I87, I88, I89, I90, I91, I92) [0 <= I81 - 3 * I93 /\ 8 <= I83 - 1 /\ -1 <= I81 - 1 /\ -1 <= I82 - 1 /\ 0 <= I82 - 3 * I94 /\ I81 - 3 * I93 <= 2 /\ I82 - 3 * I94 <= 2 /\ 0 <= I82 - 3 * I95 /\ I82 - 3 * I95 <= 2 /\ 0 <= I82 - 3 * I96 /\ I82 - 3 * I96 <= 2 /\ 0 <= I81 - 3 * I97 /\ I81 - 3 * I97 <= 2 /\ I81 - 3 * I98 <= 2 /\ 0 <= I81 - 3 * I98 /\ I82 - (I82 - 3 * I95) = I87 /\ I82 - (I82 - 3 * I96) + 3 = I88 /\ I81 - (I81 - 3 * I97) = I89 /\ I81 - (I81 - 3 * I98) + 3 = I90]
74.43/73.63	  f13(I99, I100, I101, I102, I103, I104) -> f14(I99, I100, I101, I105, I106, I107) [0 <= I99 - 3 * I108 /\ 8 <= I101 - 1 /\ -1 <= I99 - 1 /\ 0 <= I100 - 3 * I109 /\ -1 <= I100 - 1]
74.43/73.63	  f12(I110, I111, I112, I113, I114, I115) -> f13(I110, I111, 0, I116, I117, I118) [8 <= I112 - 1]
74.43/73.63	  f12(I119, I120, I121, I122, I123, I124) -> f12(I119, I120, I121 + 1, I125, I126, I127) [-1 <= I128 - 1 /\ I121 <= 8 /\ I119 <= I128 - 1 /\ -1 <= I129 - 1 /\ I121 <= I129 - 1 /\ 0 <= I130 - 1 /\ -1 <= I131 - 1 /\ I119 <= I131 - 1 /\ -1 <= I132 - 1 /\ I121 <= I132 - 1 /\ I133 <= 9]
74.43/73.63	  f12(I134, I135, I136, I137, I138, I139) -> f12(I134, I135, I136 + 1, I140, I141, I142) [-1 <= I143 - 1 /\ I136 <= 8 /\ I134 <= I143 - 1 /\ -1 <= I144 - 1 /\ I136 <= I144 - 1 /\ I145 <= -1 /\ -1 <= I146 - 1 /\ I134 <= I146 - 1 /\ -1 <= I147 - 1 /\ I136 <= I147 - 1 /\ I148 <= 9]
74.43/73.63	  f12(I149, I150, I151, I152, I153, I154) -> f12(I149, I150, I151 + 1, I155, I156, I157) [-1 <= I158 - 1 /\ I151 <= 8 /\ I149 <= I158 - 1 /\ -1 <= I159 - 1 /\ I151 <= I159 - 1]
74.43/73.63	  f11(I160, I161, I162, I163, I164, I165) -> f12(I160, I161, 0, I166, I167, I168) [8 <= I162 - 1]
74.43/73.63	  f11(I169, I170, I171, I172, I173, I174) -> f11(I169, I170, I171 + 1, I175, I176, I177) [I171 <= 8]
74.43/73.63	  f8(I178, I179, I180, I181, I182, I183) -> f11(I179, I180, 0, I184, I185, I186) [-1 <= I187 - 1 /\ I180 <= 8 /\ I179 <= I187 - 1 /\ -1 <= I188 - 1 /\ I180 <= I188 - 1 /\ 0 <= I178 - 1]
74.43/73.63	  f7(I189, I190, I191, I192, I193, I194) -> f11(I191, I190, 0, I195, I196, I197) [8 <= I191 - 1 /\ 0 <= I189 - 1]
74.43/73.63	  f10(I198, I199, I200, I201, I202, I203) -> f10(I198, I199, I200, I201 + 1, I204, I205) [0 <= I206 - 1 /\ I201 <= 8 /\ -1 <= I207 - 1 /\ I199 <= I207 - 1 /\ -1 <= I201 - 1 /\ -1 <= I208 - 1 /\ I200 <= I208 - 1 /\ 0 <= I198 - 1 /\ I198 - 1 <= I198 - 1 /\ -1 <= I209 - 1 /\ I199 <= I209 - 1 /\ -1 <= I210 - 1 /\ I200 <= I210 - 1]
74.43/73.63	  f10(I211, I212, I213, I214, I215, I216) -> f10(I211, I212, I213, I214 + 1, I217, I218) [I219 <= -1 /\ I214 <= 8 /\ -1 <= I220 - 1 /\ I212 <= I220 - 1 /\ -1 <= I214 - 1 /\ -1 <= I221 - 1 /\ I213 <= I221 - 1 /\ 0 <= I211 - 1 /\ I211 - 1 <= I211 - 1 /\ -1 <= I222 - 1 /\ I212 <= I222 - 1 /\ -1 <= I223 - 1 /\ I213 <= I223 - 1]
74.43/73.63	  f9(I224, I225, I226, I227, I228, I229) -> f9(I224, I225, I226, I227 + 1, I230, I231) [0 <= I232 - 1 /\ I227 <= 8 /\ -1 <= I233 - 1 /\ I225 <= I233 - 1 /\ -1 <= I227 - 1 /\ -1 <= I234 - 1 /\ I226 <= I234 - 1 /\ 1 <= I225 - 1 /\ 0 <= I224 - 1 /\ I224 - 1 <= I224 - 1 /\ -1 <= I235 - 1 /\ I225 <= I235 - 1 /\ -1 <= I236 - 1 /\ I226 <= I236 - 1]
74.43/73.63	  f9(I237, I238, I239, I240, I241, I242) -> f9(I237, I238, I239, I240 + 1, I243, I244) [I245 <= -1 /\ I240 <= 8 /\ -1 <= I246 - 1 /\ I238 <= I246 - 1 /\ -1 <= I240 - 1 /\ -1 <= I247 - 1 /\ I239 <= I247 - 1 /\ 1 <= I238 - 1 /\ 0 <= I237 - 1 /\ I237 - 1 <= I237 - 1 /\ -1 <= I248 - 1 /\ I238 <= I248 - 1 /\ -1 <= I249 - 1 /\ I239 <= I249 - 1]
74.43/73.63	  f10(I250, I251, I252, I253, I254, I255) -> f5(I250 - 1, I256, I257, I258, I259, I260) [0 <= I261 - 1 /\ I253 <= 8 /\ -1 <= I262 - 1 /\ I251 <= I262 - 1 /\ -1 <= I253 - 1 /\ -1 <= I263 - 1 /\ I252 <= I263 - 1 /\ I250 - 1 <= I250 - 1 /\ 0 <= I250 - 1]
74.43/73.63	  f10(I264, I265, I266, I267, I268, I269) -> f5(I264 - 1, I270, I271, I272, I273, I274) [I275 <= -1 /\ I267 <= 8 /\ -1 <= I276 - 1 /\ I265 <= I276 - 1 /\ -1 <= I267 - 1 /\ -1 <= I277 - 1 /\ I266 <= I277 - 1 /\ I264 - 1 <= I264 - 1 /\ 0 <= I264 - 1]
74.43/73.63	  f9(I278, I279, I280, I281, I282, I283) -> f5(I278 - 1, I284, I285, I286, I287, I288) [0 <= I289 - 1 /\ I281 <= 8 /\ -1 <= I290 - 1 /\ I279 <= I290 - 1 /\ -1 <= I281 - 1 /\ -1 <= I291 - 1 /\ I280 <= I291 - 1 /\ 1 <= I279 - 1 /\ I278 - 1 <= I278 - 1 /\ 0 <= I278 - 1]
74.43/73.63	  f9(I292, I293, I294, I295, I296, I297) -> f5(I292 - 1, I298, I299, I300, I301, I302) [I303 <= -1 /\ I295 <= 8 /\ -1 <= I304 - 1 /\ I293 <= I304 - 1 /\ -1 <= I295 - 1 /\ -1 <= I305 - 1 /\ I294 <= I305 - 1 /\ 1 <= I293 - 1 /\ I292 - 1 <= I292 - 1 /\ 0 <= I292 - 1]
74.43/73.63	  f10(I306, I307, I308, I309, I310, I311) -> f10(I306, I307, I308, I309 + 1, I312, I313) [I309 <= 8]
74.43/73.63	  f9(I314, I315, I316, I317, I318, I319) -> f9(I314, I315, I316, I317 + 1, I320, I321) [I317 <= 8]
74.43/73.63	  f8(I322, I323, I324, I325, I326, I327) -> f10(I322, I323, I324, 0, I328, I329) [-1 <= I330 - 1 /\ I324 <= 8 /\ I323 <= I330 - 1 /\ -1 <= I331 - 1 /\ I324 <= I331 - 1 /\ 0 <= I322 - 1]
74.43/73.63	  f7(I332, I333, I334, I335, I336, I337) -> f9(I332, I334, I333, 0, I338, I339) [8 <= I334 - 1 /\ 0 <= I332 - 1]
74.43/73.63	  f8(I340, I341, I342, I343, I344, I345) -> f8(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.63	  f8(I352, I353, I354, I355, I356, I357) -> f8(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.63	  f8(I364, I365, I366, I367, I368, I369) -> f7(I364, I366, I365 + 1, I370, I371, I372) [8 <= I366 - 1]
74.43/73.63	  f7(I373, I374, I375, I376, I377, I378) -> f8(I373, I375, 0, I379, I380, I381) [I375 <= 8]
74.43/73.63	  f5(I382, I383, I384, I385, I386, I387) -> f7(I382, 0, 0, I388, I389, I390) [0 <= I382 - 1]
74.43/73.63	  f6(I391, I392, I393, I394, I395, I396) -> f6(I397, I392 + 1, I393, I394 + 1, I395, I398) [I393 <= 8 /\ I394 <= 8 /\ I394 <= I399 - 1 /\ -1 <= I399 - 1 /\ I397 <= I391 /\ 0 <= I391 - 1 /\ 0 <= I397 - 1]
74.43/73.63	  f6(I400, I401, I402, I403, I404, I405) -> f6(I406, I401, I402, I403 + 1, I404, I407) [I402 <= 8 /\ I403 <= 8 /\ -1 <= I408 - 1 /\ 0 <= I409 - 1 /\ I403 <= I408 - 1 /\ I406 <= I400 /\ 0 <= I400 - 1 /\ 0 <= I406 - 1]
74.43/73.63	  f6(I410, I411, I412, I413, I414, I415) -> f6(I416, I411, I412, I413 + 1, I414, I417) [I412 <= 8 /\ I413 <= 8 /\ -1 <= I418 - 1 /\ I419 <= -1 /\ I413 <= I418 - 1 /\ I416 <= I410 /\ 0 <= I410 - 1 /\ 0 <= I416 - 1]
74.43/73.63	  f6(I420, I421, I422, I423, I424, I425) -> f4(I426, I421, I422 + 1, I422 + 1, I424, I427) [0 <= I426 - 1 /\ 0 <= I420 - 1 /\ 8 <= I423 - 1 /\ I426 <= I420]
74.43/73.63	  f4(I428, I429, I430, I431, I432, I433) -> f6(I434, I429, I430, 0, I432, I435) [I430 = I431 /\ 0 <= I434 - 1 /\ 0 <= I428 - 1 /\ I430 <= 8 /\ I434 <= I428]
74.43/73.63	  f4(I436, I437, I438, I439, I440, I441) -> f5(I437, I442, I443, I444, I445, I446) [I438 = I439 /\ 0 <= I436 - 1 /\ 1 <= I440 - 1 /\ 8 <= I438 - 1]
74.43/73.63	  f2(I447, I448, I449, I450, I451, I452) -> f4(I453, 0, 0, 0, I449, I454) [0 <= I453 - 1 /\ 0 <= I447 - 1 /\ 8 <= I448 - 1 /\ I453 <= I447]
74.43/73.63	  f3(I455, I456, I457, I458, I459, I460) -> f3(I461, I456, I457 + 1, I458, I462, I463) [I456 <= 8 /\ I457 <= 8 /\ -1 <= I464 - 1 /\ I457 <= I464 - 1 /\ I457 <= I465 - 1 /\ -1 <= I465 - 1 /\ I461 <= I455 /\ 0 <= I455 - 1 /\ 0 <= I461 - 1]
74.43/73.63	  f3(I466, I467, I468, I469, I470, I471) -> f2(I472, I467 + 1, I469, I473, I474, I475) [0 <= I472 - 1 /\ 0 <= I466 - 1 /\ 8 <= I468 - 1 /\ I472 <= I466]
74.43/73.63	  f2(I476, I477, I478, I479, I480, I481) -> f3(I482, I477, 0, I478, I483, I484) [0 <= I482 - 1 /\ 0 <= I476 - 1 /\ I477 <= 8 /\ I482 <= I476]
74.43/73.63	  f1(I485, I486, I487, I488, I489, I490) -> f2(I491, 0, I486, I492, I493, I494) [0 <= I491 - 1 /\ 0 <= I485 - 1 /\ 1 <= I486 - 1 /\ I491 <= I485]
74.43/73.63	
74.43/73.63	We use the reverse value criterion with the projection function NU:
74.43/73.63	  NU[f7#(z1,z2,z3,z4,z5,z6)] = 8 + -1 * z3
74.43/73.63	  NU[f8#(z1,z2,z3,z4,z5,z6)] = 8 + -1 * (z2 + 1)
74.43/73.63	
74.43/73.63	This gives the following inequalities:
74.43/73.63	  -1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1  ==>  8 + -1 * (I341 + 1) >= 8 + -1 * (I341 + 1)
74.43/73.63	  -1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1  ==>  8 + -1 * (I353 + 1) >= 8 + -1 * (I353 + 1)
74.43/73.63	  8 <= I366 - 1  ==>  8 + -1 * (I365 + 1) >= 8 + -1 * (I365 + 1)
74.43/73.63	  I375 <= 8  ==>  8 + -1 * I375 > 8 + -1 * (I375 + 1)  with  8 + -1 * I375 >= 0
74.43/73.63	
74.43/73.63	We remove all the strictly oriented dependency pairs.
74.43/73.63	
74.43/73.63	DP problem for innermost termination.
74.43/73.63	P =
74.43/73.63	  f8#(I340, I341, I342, I343, I344, I345) -> f8#(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.63	  f8#(I352, I353, I354, I355, I356, I357) -> f8#(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.63	  f8#(I364, I365, I366, I367, I368, I369) -> f7#(I364, I366, I365 + 1, I370, I371, I372) [8 <= I366 - 1]
74.43/73.63	R = 
74.43/73.63	  init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
74.43/73.63	  f16(I0, I1, I2, I3, I4, I5) -> f16(I0, I1, I2, I3 + 1, I3 + 1, I5) [-1 <= y1 - 1 /\ I3 <= I5 - 1 /\ I2 <= y1 - 1 /\ -1 <= y2 - 1 /\ I3 <= y2 - 1 /\ 0 <= y3 - 1 /\ -1 <= y4 - 1 /\ I2 <= y4 - 1 /\ -1 <= y5 - 1 /\ I3 <= y5 - 1 /\ y6 <= 9 /\ I3 = I4]
74.43/73.63	  f16(I6, I7, I8, I9, I10, I11) -> f16(I6, I7, I8, I9 + 1, I9 + 1, I11) [-1 <= I12 - 1 /\ I9 <= I11 - 1 /\ I8 <= I12 - 1 /\ -1 <= I13 - 1 /\ I9 <= I13 - 1 /\ I14 <= -1 /\ -1 <= I15 - 1 /\ I8 <= I15 - 1 /\ -1 <= I16 - 1 /\ I9 <= I16 - 1 /\ I17 <= 9 /\ I9 = I10]
74.43/73.63	  f16(I18, I19, I20, I21, I22, I23) -> f16(I18, I19, I20, I21 + 1, I21 + 1, I23) [-1 <= I24 - 1 /\ I21 <= I23 - 1 /\ I20 <= I24 - 1 /\ -1 <= I25 - 1 /\ I21 <= I25 - 1 /\ I21 = I22]
74.43/73.63	  f16(I26, I27, I28, I29, I30, I31) -> f15(I26, I31, I28 + 1, I27, I32, I33) [I29 = I30 /\ I31 <= I29]
74.43/73.63	  f15(I34, I35, I36, I37, I38, I39) -> f16(I34, I37, I36, I34, I34, I35) [I36 <= I37 - 1]
74.43/73.63	  f13(I40, I41, I42, I43, I44, I45) -> f13(I40, I41, I42 + 1, I46, I47, I48) [-1 <= I49 - 1 /\ I42 <= 8 /\ I42 <= I49 - 1 /\ -1 <= I50 - 1 /\ I41 <= I50 - 1 /\ 0 <= I51 - 1 /\ -1 <= I52 - 1 /\ I42 <= I52 - 1 /\ -1 <= I53 - 1 /\ I41 <= I53 - 1 /\ I54 <= 9]
74.43/73.63	  f13(I55, I56, I57, I58, I59, I60) -> f13(I55, I56, I57 + 1, I61, I62, I63) [-1 <= I64 - 1 /\ I57 <= 8 /\ I57 <= I64 - 1 /\ -1 <= I65 - 1 /\ I56 <= I65 - 1 /\ I66 <= -1 /\ -1 <= I67 - 1 /\ I57 <= I67 - 1 /\ -1 <= I68 - 1 /\ I56 <= I68 - 1 /\ I69 <= 9]
74.43/73.63	  f13(I70, I71, I72, I73, I74, I75) -> f13(I70, I71, I72 + 1, I76, I77, I78) [-1 <= I79 - 1 /\ I72 <= 8 /\ I72 <= I79 - 1 /\ -1 <= I80 - 1 /\ I71 <= I80 - 1]
74.43/73.63	  f14(I81, I82, I83, I84, I85, I86) -> f15(I87, I88, I89, I90, I91, I92) [0 <= I81 - 3 * I93 /\ 8 <= I83 - 1 /\ -1 <= I81 - 1 /\ -1 <= I82 - 1 /\ 0 <= I82 - 3 * I94 /\ I81 - 3 * I93 <= 2 /\ I82 - 3 * I94 <= 2 /\ 0 <= I82 - 3 * I95 /\ I82 - 3 * I95 <= 2 /\ 0 <= I82 - 3 * I96 /\ I82 - 3 * I96 <= 2 /\ 0 <= I81 - 3 * I97 /\ I81 - 3 * I97 <= 2 /\ I81 - 3 * I98 <= 2 /\ 0 <= I81 - 3 * I98 /\ I82 - (I82 - 3 * I95) = I87 /\ I82 - (I82 - 3 * I96) + 3 = I88 /\ I81 - (I81 - 3 * I97) = I89 /\ I81 - (I81 - 3 * I98) + 3 = I90]
74.43/73.63	  f13(I99, I100, I101, I102, I103, I104) -> f14(I99, I100, I101, I105, I106, I107) [0 <= I99 - 3 * I108 /\ 8 <= I101 - 1 /\ -1 <= I99 - 1 /\ 0 <= I100 - 3 * I109 /\ -1 <= I100 - 1]
74.43/73.63	  f12(I110, I111, I112, I113, I114, I115) -> f13(I110, I111, 0, I116, I117, I118) [8 <= I112 - 1]
74.43/73.63	  f12(I119, I120, I121, I122, I123, I124) -> f12(I119, I120, I121 + 1, I125, I126, I127) [-1 <= I128 - 1 /\ I121 <= 8 /\ I119 <= I128 - 1 /\ -1 <= I129 - 1 /\ I121 <= I129 - 1 /\ 0 <= I130 - 1 /\ -1 <= I131 - 1 /\ I119 <= I131 - 1 /\ -1 <= I132 - 1 /\ I121 <= I132 - 1 /\ I133 <= 9]
74.43/73.63	  f12(I134, I135, I136, I137, I138, I139) -> f12(I134, I135, I136 + 1, I140, I141, I142) [-1 <= I143 - 1 /\ I136 <= 8 /\ I134 <= I143 - 1 /\ -1 <= I144 - 1 /\ I136 <= I144 - 1 /\ I145 <= -1 /\ -1 <= I146 - 1 /\ I134 <= I146 - 1 /\ -1 <= I147 - 1 /\ I136 <= I147 - 1 /\ I148 <= 9]
74.43/73.63	  f12(I149, I150, I151, I152, I153, I154) -> f12(I149, I150, I151 + 1, I155, I156, I157) [-1 <= I158 - 1 /\ I151 <= 8 /\ I149 <= I158 - 1 /\ -1 <= I159 - 1 /\ I151 <= I159 - 1]
74.43/73.63	  f11(I160, I161, I162, I163, I164, I165) -> f12(I160, I161, 0, I166, I167, I168) [8 <= I162 - 1]
74.43/73.63	  f11(I169, I170, I171, I172, I173, I174) -> f11(I169, I170, I171 + 1, I175, I176, I177) [I171 <= 8]
74.43/73.63	  f8(I178, I179, I180, I181, I182, I183) -> f11(I179, I180, 0, I184, I185, I186) [-1 <= I187 - 1 /\ I180 <= 8 /\ I179 <= I187 - 1 /\ -1 <= I188 - 1 /\ I180 <= I188 - 1 /\ 0 <= I178 - 1]
74.43/73.63	  f7(I189, I190, I191, I192, I193, I194) -> f11(I191, I190, 0, I195, I196, I197) [8 <= I191 - 1 /\ 0 <= I189 - 1]
74.43/73.63	  f10(I198, I199, I200, I201, I202, I203) -> f10(I198, I199, I200, I201 + 1, I204, I205) [0 <= I206 - 1 /\ I201 <= 8 /\ -1 <= I207 - 1 /\ I199 <= I207 - 1 /\ -1 <= I201 - 1 /\ -1 <= I208 - 1 /\ I200 <= I208 - 1 /\ 0 <= I198 - 1 /\ I198 - 1 <= I198 - 1 /\ -1 <= I209 - 1 /\ I199 <= I209 - 1 /\ -1 <= I210 - 1 /\ I200 <= I210 - 1]
74.43/73.63	  f10(I211, I212, I213, I214, I215, I216) -> f10(I211, I212, I213, I214 + 1, I217, I218) [I219 <= -1 /\ I214 <= 8 /\ -1 <= I220 - 1 /\ I212 <= I220 - 1 /\ -1 <= I214 - 1 /\ -1 <= I221 - 1 /\ I213 <= I221 - 1 /\ 0 <= I211 - 1 /\ I211 - 1 <= I211 - 1 /\ -1 <= I222 - 1 /\ I212 <= I222 - 1 /\ -1 <= I223 - 1 /\ I213 <= I223 - 1]
74.43/73.63	  f9(I224, I225, I226, I227, I228, I229) -> f9(I224, I225, I226, I227 + 1, I230, I231) [0 <= I232 - 1 /\ I227 <= 8 /\ -1 <= I233 - 1 /\ I225 <= I233 - 1 /\ -1 <= I227 - 1 /\ -1 <= I234 - 1 /\ I226 <= I234 - 1 /\ 1 <= I225 - 1 /\ 0 <= I224 - 1 /\ I224 - 1 <= I224 - 1 /\ -1 <= I235 - 1 /\ I225 <= I235 - 1 /\ -1 <= I236 - 1 /\ I226 <= I236 - 1]
74.43/73.63	  f9(I237, I238, I239, I240, I241, I242) -> f9(I237, I238, I239, I240 + 1, I243, I244) [I245 <= -1 /\ I240 <= 8 /\ -1 <= I246 - 1 /\ I238 <= I246 - 1 /\ -1 <= I240 - 1 /\ -1 <= I247 - 1 /\ I239 <= I247 - 1 /\ 1 <= I238 - 1 /\ 0 <= I237 - 1 /\ I237 - 1 <= I237 - 1 /\ -1 <= I248 - 1 /\ I238 <= I248 - 1 /\ -1 <= I249 - 1 /\ I239 <= I249 - 1]
74.43/73.63	  f10(I250, I251, I252, I253, I254, I255) -> f5(I250 - 1, I256, I257, I258, I259, I260) [0 <= I261 - 1 /\ I253 <= 8 /\ -1 <= I262 - 1 /\ I251 <= I262 - 1 /\ -1 <= I253 - 1 /\ -1 <= I263 - 1 /\ I252 <= I263 - 1 /\ I250 - 1 <= I250 - 1 /\ 0 <= I250 - 1]
74.43/73.63	  f10(I264, I265, I266, I267, I268, I269) -> f5(I264 - 1, I270, I271, I272, I273, I274) [I275 <= -1 /\ I267 <= 8 /\ -1 <= I276 - 1 /\ I265 <= I276 - 1 /\ -1 <= I267 - 1 /\ -1 <= I277 - 1 /\ I266 <= I277 - 1 /\ I264 - 1 <= I264 - 1 /\ 0 <= I264 - 1]
74.43/73.63	  f9(I278, I279, I280, I281, I282, I283) -> f5(I278 - 1, I284, I285, I286, I287, I288) [0 <= I289 - 1 /\ I281 <= 8 /\ -1 <= I290 - 1 /\ I279 <= I290 - 1 /\ -1 <= I281 - 1 /\ -1 <= I291 - 1 /\ I280 <= I291 - 1 /\ 1 <= I279 - 1 /\ I278 - 1 <= I278 - 1 /\ 0 <= I278 - 1]
74.43/73.63	  f9(I292, I293, I294, I295, I296, I297) -> f5(I292 - 1, I298, I299, I300, I301, I302) [I303 <= -1 /\ I295 <= 8 /\ -1 <= I304 - 1 /\ I293 <= I304 - 1 /\ -1 <= I295 - 1 /\ -1 <= I305 - 1 /\ I294 <= I305 - 1 /\ 1 <= I293 - 1 /\ I292 - 1 <= I292 - 1 /\ 0 <= I292 - 1]
74.43/73.63	  f10(I306, I307, I308, I309, I310, I311) -> f10(I306, I307, I308, I309 + 1, I312, I313) [I309 <= 8]
74.43/73.63	  f9(I314, I315, I316, I317, I318, I319) -> f9(I314, I315, I316, I317 + 1, I320, I321) [I317 <= 8]
74.43/73.63	  f8(I322, I323, I324, I325, I326, I327) -> f10(I322, I323, I324, 0, I328, I329) [-1 <= I330 - 1 /\ I324 <= 8 /\ I323 <= I330 - 1 /\ -1 <= I331 - 1 /\ I324 <= I331 - 1 /\ 0 <= I322 - 1]
74.43/73.63	  f7(I332, I333, I334, I335, I336, I337) -> f9(I332, I334, I333, 0, I338, I339) [8 <= I334 - 1 /\ 0 <= I332 - 1]
74.43/73.63	  f8(I340, I341, I342, I343, I344, I345) -> f8(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.63	  f8(I352, I353, I354, I355, I356, I357) -> f8(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.63	  f8(I364, I365, I366, I367, I368, I369) -> f7(I364, I366, I365 + 1, I370, I371, I372) [8 <= I366 - 1]
74.43/73.63	  f7(I373, I374, I375, I376, I377, I378) -> f8(I373, I375, 0, I379, I380, I381) [I375 <= 8]
74.43/73.63	  f5(I382, I383, I384, I385, I386, I387) -> f7(I382, 0, 0, I388, I389, I390) [0 <= I382 - 1]
74.43/73.63	  f6(I391, I392, I393, I394, I395, I396) -> f6(I397, I392 + 1, I393, I394 + 1, I395, I398) [I393 <= 8 /\ I394 <= 8 /\ I394 <= I399 - 1 /\ -1 <= I399 - 1 /\ I397 <= I391 /\ 0 <= I391 - 1 /\ 0 <= I397 - 1]
74.43/73.63	  f6(I400, I401, I402, I403, I404, I405) -> f6(I406, I401, I402, I403 + 1, I404, I407) [I402 <= 8 /\ I403 <= 8 /\ -1 <= I408 - 1 /\ 0 <= I409 - 1 /\ I403 <= I408 - 1 /\ I406 <= I400 /\ 0 <= I400 - 1 /\ 0 <= I406 - 1]
74.43/73.63	  f6(I410, I411, I412, I413, I414, I415) -> f6(I416, I411, I412, I413 + 1, I414, I417) [I412 <= 8 /\ I413 <= 8 /\ -1 <= I418 - 1 /\ I419 <= -1 /\ I413 <= I418 - 1 /\ I416 <= I410 /\ 0 <= I410 - 1 /\ 0 <= I416 - 1]
74.43/73.63	  f6(I420, I421, I422, I423, I424, I425) -> f4(I426, I421, I422 + 1, I422 + 1, I424, I427) [0 <= I426 - 1 /\ 0 <= I420 - 1 /\ 8 <= I423 - 1 /\ I426 <= I420]
74.43/73.63	  f4(I428, I429, I430, I431, I432, I433) -> f6(I434, I429, I430, 0, I432, I435) [I430 = I431 /\ 0 <= I434 - 1 /\ 0 <= I428 - 1 /\ I430 <= 8 /\ I434 <= I428]
74.43/73.63	  f4(I436, I437, I438, I439, I440, I441) -> f5(I437, I442, I443, I444, I445, I446) [I438 = I439 /\ 0 <= I436 - 1 /\ 1 <= I440 - 1 /\ 8 <= I438 - 1]
74.43/73.63	  f2(I447, I448, I449, I450, I451, I452) -> f4(I453, 0, 0, 0, I449, I454) [0 <= I453 - 1 /\ 0 <= I447 - 1 /\ 8 <= I448 - 1 /\ I453 <= I447]
74.43/73.63	  f3(I455, I456, I457, I458, I459, I460) -> f3(I461, I456, I457 + 1, I458, I462, I463) [I456 <= 8 /\ I457 <= 8 /\ -1 <= I464 - 1 /\ I457 <= I464 - 1 /\ I457 <= I465 - 1 /\ -1 <= I465 - 1 /\ I461 <= I455 /\ 0 <= I455 - 1 /\ 0 <= I461 - 1]
74.43/73.63	  f3(I466, I467, I468, I469, I470, I471) -> f2(I472, I467 + 1, I469, I473, I474, I475) [0 <= I472 - 1 /\ 0 <= I466 - 1 /\ 8 <= I468 - 1 /\ I472 <= I466]
74.43/73.63	  f2(I476, I477, I478, I479, I480, I481) -> f3(I482, I477, 0, I478, I483, I484) [0 <= I482 - 1 /\ 0 <= I476 - 1 /\ I477 <= 8 /\ I482 <= I476]
74.43/73.63	  f1(I485, I486, I487, I488, I489, I490) -> f2(I491, 0, I486, I492, I493, I494) [0 <= I491 - 1 /\ 0 <= I485 - 1 /\ 1 <= I486 - 1 /\ I491 <= I485]
74.43/73.63	
74.43/73.63	The dependency graph for this problem is:
74.43/73.63	  31 -> 31, 32, 33
74.43/73.63	  32 -> 31, 32, 33
74.43/73.63	  33 -> 
74.43/73.63	Where:
74.43/73.63	  31) f8#(I340, I341, I342, I343, I344, I345) -> f8#(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.63	  32) f8#(I352, I353, I354, I355, I356, I357) -> f8#(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.63	  33) f8#(I364, I365, I366, I367, I368, I369) -> f7#(I364, I366, I365 + 1, I370, I371, I372) [8 <= I366 - 1]
74.43/73.63	
74.43/73.63	We have the following SCCs.
74.43/73.63	  { 31, 32 }
74.43/73.63	
74.43/73.63	DP problem for innermost termination.
74.43/73.63	P =
74.43/73.63	  f8#(I340, I341, I342, I343, I344, I345) -> f8#(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.63	  f8#(I352, I353, I354, I355, I356, I357) -> f8#(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.63	R = 
74.43/73.63	  init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
74.43/73.63	  f16(I0, I1, I2, I3, I4, I5) -> f16(I0, I1, I2, I3 + 1, I3 + 1, I5) [-1 <= y1 - 1 /\ I3 <= I5 - 1 /\ I2 <= y1 - 1 /\ -1 <= y2 - 1 /\ I3 <= y2 - 1 /\ 0 <= y3 - 1 /\ -1 <= y4 - 1 /\ I2 <= y4 - 1 /\ -1 <= y5 - 1 /\ I3 <= y5 - 1 /\ y6 <= 9 /\ I3 = I4]
74.43/73.63	  f16(I6, I7, I8, I9, I10, I11) -> f16(I6, I7, I8, I9 + 1, I9 + 1, I11) [-1 <= I12 - 1 /\ I9 <= I11 - 1 /\ I8 <= I12 - 1 /\ -1 <= I13 - 1 /\ I9 <= I13 - 1 /\ I14 <= -1 /\ -1 <= I15 - 1 /\ I8 <= I15 - 1 /\ -1 <= I16 - 1 /\ I9 <= I16 - 1 /\ I17 <= 9 /\ I9 = I10]
74.43/73.63	  f16(I18, I19, I20, I21, I22, I23) -> f16(I18, I19, I20, I21 + 1, I21 + 1, I23) [-1 <= I24 - 1 /\ I21 <= I23 - 1 /\ I20 <= I24 - 1 /\ -1 <= I25 - 1 /\ I21 <= I25 - 1 /\ I21 = I22]
74.43/73.63	  f16(I26, I27, I28, I29, I30, I31) -> f15(I26, I31, I28 + 1, I27, I32, I33) [I29 = I30 /\ I31 <= I29]
74.43/73.63	  f15(I34, I35, I36, I37, I38, I39) -> f16(I34, I37, I36, I34, I34, I35) [I36 <= I37 - 1]
74.43/73.63	  f13(I40, I41, I42, I43, I44, I45) -> f13(I40, I41, I42 + 1, I46, I47, I48) [-1 <= I49 - 1 /\ I42 <= 8 /\ I42 <= I49 - 1 /\ -1 <= I50 - 1 /\ I41 <= I50 - 1 /\ 0 <= I51 - 1 /\ -1 <= I52 - 1 /\ I42 <= I52 - 1 /\ -1 <= I53 - 1 /\ I41 <= I53 - 1 /\ I54 <= 9]
74.43/73.63	  f13(I55, I56, I57, I58, I59, I60) -> f13(I55, I56, I57 + 1, I61, I62, I63) [-1 <= I64 - 1 /\ I57 <= 8 /\ I57 <= I64 - 1 /\ -1 <= I65 - 1 /\ I56 <= I65 - 1 /\ I66 <= -1 /\ -1 <= I67 - 1 /\ I57 <= I67 - 1 /\ -1 <= I68 - 1 /\ I56 <= I68 - 1 /\ I69 <= 9]
74.43/73.63	  f13(I70, I71, I72, I73, I74, I75) -> f13(I70, I71, I72 + 1, I76, I77, I78) [-1 <= I79 - 1 /\ I72 <= 8 /\ I72 <= I79 - 1 /\ -1 <= I80 - 1 /\ I71 <= I80 - 1]
74.43/73.63	  f14(I81, I82, I83, I84, I85, I86) -> f15(I87, I88, I89, I90, I91, I92) [0 <= I81 - 3 * I93 /\ 8 <= I83 - 1 /\ -1 <= I81 - 1 /\ -1 <= I82 - 1 /\ 0 <= I82 - 3 * I94 /\ I81 - 3 * I93 <= 2 /\ I82 - 3 * I94 <= 2 /\ 0 <= I82 - 3 * I95 /\ I82 - 3 * I95 <= 2 /\ 0 <= I82 - 3 * I96 /\ I82 - 3 * I96 <= 2 /\ 0 <= I81 - 3 * I97 /\ I81 - 3 * I97 <= 2 /\ I81 - 3 * I98 <= 2 /\ 0 <= I81 - 3 * I98 /\ I82 - (I82 - 3 * I95) = I87 /\ I82 - (I82 - 3 * I96) + 3 = I88 /\ I81 - (I81 - 3 * I97) = I89 /\ I81 - (I81 - 3 * I98) + 3 = I90]
74.43/73.63	  f13(I99, I100, I101, I102, I103, I104) -> f14(I99, I100, I101, I105, I106, I107) [0 <= I99 - 3 * I108 /\ 8 <= I101 - 1 /\ -1 <= I99 - 1 /\ 0 <= I100 - 3 * I109 /\ -1 <= I100 - 1]
74.43/73.63	  f12(I110, I111, I112, I113, I114, I115) -> f13(I110, I111, 0, I116, I117, I118) [8 <= I112 - 1]
74.43/73.63	  f12(I119, I120, I121, I122, I123, I124) -> f12(I119, I120, I121 + 1, I125, I126, I127) [-1 <= I128 - 1 /\ I121 <= 8 /\ I119 <= I128 - 1 /\ -1 <= I129 - 1 /\ I121 <= I129 - 1 /\ 0 <= I130 - 1 /\ -1 <= I131 - 1 /\ I119 <= I131 - 1 /\ -1 <= I132 - 1 /\ I121 <= I132 - 1 /\ I133 <= 9]
74.43/73.63	  f12(I134, I135, I136, I137, I138, I139) -> f12(I134, I135, I136 + 1, I140, I141, I142) [-1 <= I143 - 1 /\ I136 <= 8 /\ I134 <= I143 - 1 /\ -1 <= I144 - 1 /\ I136 <= I144 - 1 /\ I145 <= -1 /\ -1 <= I146 - 1 /\ I134 <= I146 - 1 /\ -1 <= I147 - 1 /\ I136 <= I147 - 1 /\ I148 <= 9]
74.43/73.63	  f12(I149, I150, I151, I152, I153, I154) -> f12(I149, I150, I151 + 1, I155, I156, I157) [-1 <= I158 - 1 /\ I151 <= 8 /\ I149 <= I158 - 1 /\ -1 <= I159 - 1 /\ I151 <= I159 - 1]
74.43/73.63	  f11(I160, I161, I162, I163, I164, I165) -> f12(I160, I161, 0, I166, I167, I168) [8 <= I162 - 1]
74.43/73.63	  f11(I169, I170, I171, I172, I173, I174) -> f11(I169, I170, I171 + 1, I175, I176, I177) [I171 <= 8]
74.43/73.63	  f8(I178, I179, I180, I181, I182, I183) -> f11(I179, I180, 0, I184, I185, I186) [-1 <= I187 - 1 /\ I180 <= 8 /\ I179 <= I187 - 1 /\ -1 <= I188 - 1 /\ I180 <= I188 - 1 /\ 0 <= I178 - 1]
74.43/73.63	  f7(I189, I190, I191, I192, I193, I194) -> f11(I191, I190, 0, I195, I196, I197) [8 <= I191 - 1 /\ 0 <= I189 - 1]
74.43/73.63	  f10(I198, I199, I200, I201, I202, I203) -> f10(I198, I199, I200, I201 + 1, I204, I205) [0 <= I206 - 1 /\ I201 <= 8 /\ -1 <= I207 - 1 /\ I199 <= I207 - 1 /\ -1 <= I201 - 1 /\ -1 <= I208 - 1 /\ I200 <= I208 - 1 /\ 0 <= I198 - 1 /\ I198 - 1 <= I198 - 1 /\ -1 <= I209 - 1 /\ I199 <= I209 - 1 /\ -1 <= I210 - 1 /\ I200 <= I210 - 1]
74.43/73.63	  f10(I211, I212, I213, I214, I215, I216) -> f10(I211, I212, I213, I214 + 1, I217, I218) [I219 <= -1 /\ I214 <= 8 /\ -1 <= I220 - 1 /\ I212 <= I220 - 1 /\ -1 <= I214 - 1 /\ -1 <= I221 - 1 /\ I213 <= I221 - 1 /\ 0 <= I211 - 1 /\ I211 - 1 <= I211 - 1 /\ -1 <= I222 - 1 /\ I212 <= I222 - 1 /\ -1 <= I223 - 1 /\ I213 <= I223 - 1]
74.43/73.63	  f9(I224, I225, I226, I227, I228, I229) -> f9(I224, I225, I226, I227 + 1, I230, I231) [0 <= I232 - 1 /\ I227 <= 8 /\ -1 <= I233 - 1 /\ I225 <= I233 - 1 /\ -1 <= I227 - 1 /\ -1 <= I234 - 1 /\ I226 <= I234 - 1 /\ 1 <= I225 - 1 /\ 0 <= I224 - 1 /\ I224 - 1 <= I224 - 1 /\ -1 <= I235 - 1 /\ I225 <= I235 - 1 /\ -1 <= I236 - 1 /\ I226 <= I236 - 1]
74.43/73.63	  f9(I237, I238, I239, I240, I241, I242) -> f9(I237, I238, I239, I240 + 1, I243, I244) [I245 <= -1 /\ I240 <= 8 /\ -1 <= I246 - 1 /\ I238 <= I246 - 1 /\ -1 <= I240 - 1 /\ -1 <= I247 - 1 /\ I239 <= I247 - 1 /\ 1 <= I238 - 1 /\ 0 <= I237 - 1 /\ I237 - 1 <= I237 - 1 /\ -1 <= I248 - 1 /\ I238 <= I248 - 1 /\ -1 <= I249 - 1 /\ I239 <= I249 - 1]
74.43/73.63	  f10(I250, I251, I252, I253, I254, I255) -> f5(I250 - 1, I256, I257, I258, I259, I260) [0 <= I261 - 1 /\ I253 <= 8 /\ -1 <= I262 - 1 /\ I251 <= I262 - 1 /\ -1 <= I253 - 1 /\ -1 <= I263 - 1 /\ I252 <= I263 - 1 /\ I250 - 1 <= I250 - 1 /\ 0 <= I250 - 1]
74.43/73.63	  f10(I264, I265, I266, I267, I268, I269) -> f5(I264 - 1, I270, I271, I272, I273, I274) [I275 <= -1 /\ I267 <= 8 /\ -1 <= I276 - 1 /\ I265 <= I276 - 1 /\ -1 <= I267 - 1 /\ -1 <= I277 - 1 /\ I266 <= I277 - 1 /\ I264 - 1 <= I264 - 1 /\ 0 <= I264 - 1]
74.43/73.63	  f9(I278, I279, I280, I281, I282, I283) -> f5(I278 - 1, I284, I285, I286, I287, I288) [0 <= I289 - 1 /\ I281 <= 8 /\ -1 <= I290 - 1 /\ I279 <= I290 - 1 /\ -1 <= I281 - 1 /\ -1 <= I291 - 1 /\ I280 <= I291 - 1 /\ 1 <= I279 - 1 /\ I278 - 1 <= I278 - 1 /\ 0 <= I278 - 1]
74.43/73.63	  f9(I292, I293, I294, I295, I296, I297) -> f5(I292 - 1, I298, I299, I300, I301, I302) [I303 <= -1 /\ I295 <= 8 /\ -1 <= I304 - 1 /\ I293 <= I304 - 1 /\ -1 <= I295 - 1 /\ -1 <= I305 - 1 /\ I294 <= I305 - 1 /\ 1 <= I293 - 1 /\ I292 - 1 <= I292 - 1 /\ 0 <= I292 - 1]
74.43/73.63	  f10(I306, I307, I308, I309, I310, I311) -> f10(I306, I307, I308, I309 + 1, I312, I313) [I309 <= 8]
74.43/73.63	  f9(I314, I315, I316, I317, I318, I319) -> f9(I314, I315, I316, I317 + 1, I320, I321) [I317 <= 8]
74.43/73.63	  f8(I322, I323, I324, I325, I326, I327) -> f10(I322, I323, I324, 0, I328, I329) [-1 <= I330 - 1 /\ I324 <= 8 /\ I323 <= I330 - 1 /\ -1 <= I331 - 1 /\ I324 <= I331 - 1 /\ 0 <= I322 - 1]
74.43/73.63	  f7(I332, I333, I334, I335, I336, I337) -> f9(I332, I334, I333, 0, I338, I339) [8 <= I334 - 1 /\ 0 <= I332 - 1]
74.43/73.63	  f8(I340, I341, I342, I343, I344, I345) -> f8(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.63	  f8(I352, I353, I354, I355, I356, I357) -> f8(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.63	  f8(I364, I365, I366, I367, I368, I369) -> f7(I364, I366, I365 + 1, I370, I371, I372) [8 <= I366 - 1]
74.43/73.63	  f7(I373, I374, I375, I376, I377, I378) -> f8(I373, I375, 0, I379, I380, I381) [I375 <= 8]
74.43/73.63	  f5(I382, I383, I384, I385, I386, I387) -> f7(I382, 0, 0, I388, I389, I390) [0 <= I382 - 1]
74.43/73.63	  f6(I391, I392, I393, I394, I395, I396) -> f6(I397, I392 + 1, I393, I394 + 1, I395, I398) [I393 <= 8 /\ I394 <= 8 /\ I394 <= I399 - 1 /\ -1 <= I399 - 1 /\ I397 <= I391 /\ 0 <= I391 - 1 /\ 0 <= I397 - 1]
74.43/73.63	  f6(I400, I401, I402, I403, I404, I405) -> f6(I406, I401, I402, I403 + 1, I404, I407) [I402 <= 8 /\ I403 <= 8 /\ -1 <= I408 - 1 /\ 0 <= I409 - 1 /\ I403 <= I408 - 1 /\ I406 <= I400 /\ 0 <= I400 - 1 /\ 0 <= I406 - 1]
74.43/73.63	  f6(I410, I411, I412, I413, I414, I415) -> f6(I416, I411, I412, I413 + 1, I414, I417) [I412 <= 8 /\ I413 <= 8 /\ -1 <= I418 - 1 /\ I419 <= -1 /\ I413 <= I418 - 1 /\ I416 <= I410 /\ 0 <= I410 - 1 /\ 0 <= I416 - 1]
74.43/73.63	  f6(I420, I421, I422, I423, I424, I425) -> f4(I426, I421, I422 + 1, I422 + 1, I424, I427) [0 <= I426 - 1 /\ 0 <= I420 - 1 /\ 8 <= I423 - 1 /\ I426 <= I420]
74.43/73.63	  f4(I428, I429, I430, I431, I432, I433) -> f6(I434, I429, I430, 0, I432, I435) [I430 = I431 /\ 0 <= I434 - 1 /\ 0 <= I428 - 1 /\ I430 <= 8 /\ I434 <= I428]
74.43/73.63	  f4(I436, I437, I438, I439, I440, I441) -> f5(I437, I442, I443, I444, I445, I446) [I438 = I439 /\ 0 <= I436 - 1 /\ 1 <= I440 - 1 /\ 8 <= I438 - 1]
74.43/73.63	  f2(I447, I448, I449, I450, I451, I452) -> f4(I453, 0, 0, 0, I449, I454) [0 <= I453 - 1 /\ 0 <= I447 - 1 /\ 8 <= I448 - 1 /\ I453 <= I447]
74.43/73.63	  f3(I455, I456, I457, I458, I459, I460) -> f3(I461, I456, I457 + 1, I458, I462, I463) [I456 <= 8 /\ I457 <= 8 /\ -1 <= I464 - 1 /\ I457 <= I464 - 1 /\ I457 <= I465 - 1 /\ -1 <= I465 - 1 /\ I461 <= I455 /\ 0 <= I455 - 1 /\ 0 <= I461 - 1]
74.43/73.63	  f3(I466, I467, I468, I469, I470, I471) -> f2(I472, I467 + 1, I469, I473, I474, I475) [0 <= I472 - 1 /\ 0 <= I466 - 1 /\ 8 <= I468 - 1 /\ I472 <= I466]
74.43/73.63	  f2(I476, I477, I478, I479, I480, I481) -> f3(I482, I477, 0, I478, I483, I484) [0 <= I482 - 1 /\ 0 <= I476 - 1 /\ I477 <= 8 /\ I482 <= I476]
74.43/73.63	  f1(I485, I486, I487, I488, I489, I490) -> f2(I491, 0, I486, I492, I493, I494) [0 <= I491 - 1 /\ 0 <= I485 - 1 /\ 1 <= I486 - 1 /\ I491 <= I485]
74.43/73.63	
74.43/73.63	We use the reverse value criterion with the projection function NU:
74.43/73.63	  NU[f8#(z1,z2,z3,z4,z5,z6)] = 8 + -1 * z3
74.43/73.63	
74.43/73.63	This gives the following inequalities:
74.43/73.63	  -1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1  ==>  8 + -1 * I342 > 8 + -1 * (I342 + 1)  with  8 + -1 * I342 >= 0
74.43/73.63	  -1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1  ==>  8 + -1 * I354 > 8 + -1 * (I354 + 1)  with  8 + -1 * I354 >= 0
74.43/73.63	
74.43/73.63	All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed.
74.43/73.63	
74.43/73.63	DP problem for innermost termination.
74.43/73.63	P =
74.43/73.63	  f6#(I391, I392, I393, I394, I395, I396) -> f6#(I397, I392 + 1, I393, I394 + 1, I395, I398) [I393 <= 8 /\ I394 <= 8 /\ I394 <= I399 - 1 /\ -1 <= I399 - 1 /\ I397 <= I391 /\ 0 <= I391 - 1 /\ 0 <= I397 - 1]
74.43/73.63	  f6#(I400, I401, I402, I403, I404, I405) -> f6#(I406, I401, I402, I403 + 1, I404, I407) [I402 <= 8 /\ I403 <= 8 /\ -1 <= I408 - 1 /\ 0 <= I409 - 1 /\ I403 <= I408 - 1 /\ I406 <= I400 /\ 0 <= I400 - 1 /\ 0 <= I406 - 1]
74.43/73.63	  f6#(I410, I411, I412, I413, I414, I415) -> f6#(I416, I411, I412, I413 + 1, I414, I417) [I412 <= 8 /\ I413 <= 8 /\ -1 <= I418 - 1 /\ I419 <= -1 /\ I413 <= I418 - 1 /\ I416 <= I410 /\ 0 <= I410 - 1 /\ 0 <= I416 - 1]
74.43/73.63	  f6#(I420, I421, I422, I423, I424, I425) -> f4#(I426, I421, I422 + 1, I422 + 1, I424, I427) [0 <= I426 - 1 /\ 0 <= I420 - 1 /\ 8 <= I423 - 1 /\ I426 <= I420]
74.43/73.63	  f4#(I428, I429, I430, I431, I432, I433) -> f6#(I434, I429, I430, 0, I432, I435) [I430 = I431 /\ 0 <= I434 - 1 /\ 0 <= I428 - 1 /\ I430 <= 8 /\ I434 <= I428]
74.43/73.63	R = 
74.43/73.63	  init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
74.43/73.63	  f16(I0, I1, I2, I3, I4, I5) -> f16(I0, I1, I2, I3 + 1, I3 + 1, I5) [-1 <= y1 - 1 /\ I3 <= I5 - 1 /\ I2 <= y1 - 1 /\ -1 <= y2 - 1 /\ I3 <= y2 - 1 /\ 0 <= y3 - 1 /\ -1 <= y4 - 1 /\ I2 <= y4 - 1 /\ -1 <= y5 - 1 /\ I3 <= y5 - 1 /\ y6 <= 9 /\ I3 = I4]
74.43/73.63	  f16(I6, I7, I8, I9, I10, I11) -> f16(I6, I7, I8, I9 + 1, I9 + 1, I11) [-1 <= I12 - 1 /\ I9 <= I11 - 1 /\ I8 <= I12 - 1 /\ -1 <= I13 - 1 /\ I9 <= I13 - 1 /\ I14 <= -1 /\ -1 <= I15 - 1 /\ I8 <= I15 - 1 /\ -1 <= I16 - 1 /\ I9 <= I16 - 1 /\ I17 <= 9 /\ I9 = I10]
74.43/73.63	  f16(I18, I19, I20, I21, I22, I23) -> f16(I18, I19, I20, I21 + 1, I21 + 1, I23) [-1 <= I24 - 1 /\ I21 <= I23 - 1 /\ I20 <= I24 - 1 /\ -1 <= I25 - 1 /\ I21 <= I25 - 1 /\ I21 = I22]
74.43/73.63	  f16(I26, I27, I28, I29, I30, I31) -> f15(I26, I31, I28 + 1, I27, I32, I33) [I29 = I30 /\ I31 <= I29]
74.43/73.63	  f15(I34, I35, I36, I37, I38, I39) -> f16(I34, I37, I36, I34, I34, I35) [I36 <= I37 - 1]
74.43/73.63	  f13(I40, I41, I42, I43, I44, I45) -> f13(I40, I41, I42 + 1, I46, I47, I48) [-1 <= I49 - 1 /\ I42 <= 8 /\ I42 <= I49 - 1 /\ -1 <= I50 - 1 /\ I41 <= I50 - 1 /\ 0 <= I51 - 1 /\ -1 <= I52 - 1 /\ I42 <= I52 - 1 /\ -1 <= I53 - 1 /\ I41 <= I53 - 1 /\ I54 <= 9]
74.43/73.63	  f13(I55, I56, I57, I58, I59, I60) -> f13(I55, I56, I57 + 1, I61, I62, I63) [-1 <= I64 - 1 /\ I57 <= 8 /\ I57 <= I64 - 1 /\ -1 <= I65 - 1 /\ I56 <= I65 - 1 /\ I66 <= -1 /\ -1 <= I67 - 1 /\ I57 <= I67 - 1 /\ -1 <= I68 - 1 /\ I56 <= I68 - 1 /\ I69 <= 9]
74.43/73.63	  f13(I70, I71, I72, I73, I74, I75) -> f13(I70, I71, I72 + 1, I76, I77, I78) [-1 <= I79 - 1 /\ I72 <= 8 /\ I72 <= I79 - 1 /\ -1 <= I80 - 1 /\ I71 <= I80 - 1]
74.43/73.63	  f14(I81, I82, I83, I84, I85, I86) -> f15(I87, I88, I89, I90, I91, I92) [0 <= I81 - 3 * I93 /\ 8 <= I83 - 1 /\ -1 <= I81 - 1 /\ -1 <= I82 - 1 /\ 0 <= I82 - 3 * I94 /\ I81 - 3 * I93 <= 2 /\ I82 - 3 * I94 <= 2 /\ 0 <= I82 - 3 * I95 /\ I82 - 3 * I95 <= 2 /\ 0 <= I82 - 3 * I96 /\ I82 - 3 * I96 <= 2 /\ 0 <= I81 - 3 * I97 /\ I81 - 3 * I97 <= 2 /\ I81 - 3 * I98 <= 2 /\ 0 <= I81 - 3 * I98 /\ I82 - (I82 - 3 * I95) = I87 /\ I82 - (I82 - 3 * I96) + 3 = I88 /\ I81 - (I81 - 3 * I97) = I89 /\ I81 - (I81 - 3 * I98) + 3 = I90]
74.43/73.63	  f13(I99, I100, I101, I102, I103, I104) -> f14(I99, I100, I101, I105, I106, I107) [0 <= I99 - 3 * I108 /\ 8 <= I101 - 1 /\ -1 <= I99 - 1 /\ 0 <= I100 - 3 * I109 /\ -1 <= I100 - 1]
74.43/73.63	  f12(I110, I111, I112, I113, I114, I115) -> f13(I110, I111, 0, I116, I117, I118) [8 <= I112 - 1]
74.43/73.63	  f12(I119, I120, I121, I122, I123, I124) -> f12(I119, I120, I121 + 1, I125, I126, I127) [-1 <= I128 - 1 /\ I121 <= 8 /\ I119 <= I128 - 1 /\ -1 <= I129 - 1 /\ I121 <= I129 - 1 /\ 0 <= I130 - 1 /\ -1 <= I131 - 1 /\ I119 <= I131 - 1 /\ -1 <= I132 - 1 /\ I121 <= I132 - 1 /\ I133 <= 9]
74.43/73.63	  f12(I134, I135, I136, I137, I138, I139) -> f12(I134, I135, I136 + 1, I140, I141, I142) [-1 <= I143 - 1 /\ I136 <= 8 /\ I134 <= I143 - 1 /\ -1 <= I144 - 1 /\ I136 <= I144 - 1 /\ I145 <= -1 /\ -1 <= I146 - 1 /\ I134 <= I146 - 1 /\ -1 <= I147 - 1 /\ I136 <= I147 - 1 /\ I148 <= 9]
74.43/73.63	  f12(I149, I150, I151, I152, I153, I154) -> f12(I149, I150, I151 + 1, I155, I156, I157) [-1 <= I158 - 1 /\ I151 <= 8 /\ I149 <= I158 - 1 /\ -1 <= I159 - 1 /\ I151 <= I159 - 1]
74.43/73.63	  f11(I160, I161, I162, I163, I164, I165) -> f12(I160, I161, 0, I166, I167, I168) [8 <= I162 - 1]
74.43/73.63	  f11(I169, I170, I171, I172, I173, I174) -> f11(I169, I170, I171 + 1, I175, I176, I177) [I171 <= 8]
74.43/73.63	  f8(I178, I179, I180, I181, I182, I183) -> f11(I179, I180, 0, I184, I185, I186) [-1 <= I187 - 1 /\ I180 <= 8 /\ I179 <= I187 - 1 /\ -1 <= I188 - 1 /\ I180 <= I188 - 1 /\ 0 <= I178 - 1]
74.43/73.63	  f7(I189, I190, I191, I192, I193, I194) -> f11(I191, I190, 0, I195, I196, I197) [8 <= I191 - 1 /\ 0 <= I189 - 1]
74.43/73.63	  f10(I198, I199, I200, I201, I202, I203) -> f10(I198, I199, I200, I201 + 1, I204, I205) [0 <= I206 - 1 /\ I201 <= 8 /\ -1 <= I207 - 1 /\ I199 <= I207 - 1 /\ -1 <= I201 - 1 /\ -1 <= I208 - 1 /\ I200 <= I208 - 1 /\ 0 <= I198 - 1 /\ I198 - 1 <= I198 - 1 /\ -1 <= I209 - 1 /\ I199 <= I209 - 1 /\ -1 <= I210 - 1 /\ I200 <= I210 - 1]
74.43/73.63	  f10(I211, I212, I213, I214, I215, I216) -> f10(I211, I212, I213, I214 + 1, I217, I218) [I219 <= -1 /\ I214 <= 8 /\ -1 <= I220 - 1 /\ I212 <= I220 - 1 /\ -1 <= I214 - 1 /\ -1 <= I221 - 1 /\ I213 <= I221 - 1 /\ 0 <= I211 - 1 /\ I211 - 1 <= I211 - 1 /\ -1 <= I222 - 1 /\ I212 <= I222 - 1 /\ -1 <= I223 - 1 /\ I213 <= I223 - 1]
74.43/73.63	  f9(I224, I225, I226, I227, I228, I229) -> f9(I224, I225, I226, I227 + 1, I230, I231) [0 <= I232 - 1 /\ I227 <= 8 /\ -1 <= I233 - 1 /\ I225 <= I233 - 1 /\ -1 <= I227 - 1 /\ -1 <= I234 - 1 /\ I226 <= I234 - 1 /\ 1 <= I225 - 1 /\ 0 <= I224 - 1 /\ I224 - 1 <= I224 - 1 /\ -1 <= I235 - 1 /\ I225 <= I235 - 1 /\ -1 <= I236 - 1 /\ I226 <= I236 - 1]
74.43/73.63	  f9(I237, I238, I239, I240, I241, I242) -> f9(I237, I238, I239, I240 + 1, I243, I244) [I245 <= -1 /\ I240 <= 8 /\ -1 <= I246 - 1 /\ I238 <= I246 - 1 /\ -1 <= I240 - 1 /\ -1 <= I247 - 1 /\ I239 <= I247 - 1 /\ 1 <= I238 - 1 /\ 0 <= I237 - 1 /\ I237 - 1 <= I237 - 1 /\ -1 <= I248 - 1 /\ I238 <= I248 - 1 /\ -1 <= I249 - 1 /\ I239 <= I249 - 1]
74.43/73.63	  f10(I250, I251, I252, I253, I254, I255) -> f5(I250 - 1, I256, I257, I258, I259, I260) [0 <= I261 - 1 /\ I253 <= 8 /\ -1 <= I262 - 1 /\ I251 <= I262 - 1 /\ -1 <= I253 - 1 /\ -1 <= I263 - 1 /\ I252 <= I263 - 1 /\ I250 - 1 <= I250 - 1 /\ 0 <= I250 - 1]
74.43/73.63	  f10(I264, I265, I266, I267, I268, I269) -> f5(I264 - 1, I270, I271, I272, I273, I274) [I275 <= -1 /\ I267 <= 8 /\ -1 <= I276 - 1 /\ I265 <= I276 - 1 /\ -1 <= I267 - 1 /\ -1 <= I277 - 1 /\ I266 <= I277 - 1 /\ I264 - 1 <= I264 - 1 /\ 0 <= I264 - 1]
74.43/73.63	  f9(I278, I279, I280, I281, I282, I283) -> f5(I278 - 1, I284, I285, I286, I287, I288) [0 <= I289 - 1 /\ I281 <= 8 /\ -1 <= I290 - 1 /\ I279 <= I290 - 1 /\ -1 <= I281 - 1 /\ -1 <= I291 - 1 /\ I280 <= I291 - 1 /\ 1 <= I279 - 1 /\ I278 - 1 <= I278 - 1 /\ 0 <= I278 - 1]
74.43/73.63	  f9(I292, I293, I294, I295, I296, I297) -> f5(I292 - 1, I298, I299, I300, I301, I302) [I303 <= -1 /\ I295 <= 8 /\ -1 <= I304 - 1 /\ I293 <= I304 - 1 /\ -1 <= I295 - 1 /\ -1 <= I305 - 1 /\ I294 <= I305 - 1 /\ 1 <= I293 - 1 /\ I292 - 1 <= I292 - 1 /\ 0 <= I292 - 1]
74.43/73.63	  f10(I306, I307, I308, I309, I310, I311) -> f10(I306, I307, I308, I309 + 1, I312, I313) [I309 <= 8]
74.43/73.63	  f9(I314, I315, I316, I317, I318, I319) -> f9(I314, I315, I316, I317 + 1, I320, I321) [I317 <= 8]
74.43/73.63	  f8(I322, I323, I324, I325, I326, I327) -> f10(I322, I323, I324, 0, I328, I329) [-1 <= I330 - 1 /\ I324 <= 8 /\ I323 <= I330 - 1 /\ -1 <= I331 - 1 /\ I324 <= I331 - 1 /\ 0 <= I322 - 1]
74.43/73.63	  f7(I332, I333, I334, I335, I336, I337) -> f9(I332, I334, I333, 0, I338, I339) [8 <= I334 - 1 /\ 0 <= I332 - 1]
74.43/73.63	  f8(I340, I341, I342, I343, I344, I345) -> f8(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.63	  f8(I352, I353, I354, I355, I356, I357) -> f8(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.63	  f8(I364, I365, I366, I367, I368, I369) -> f7(I364, I366, I365 + 1, I370, I371, I372) [8 <= I366 - 1]
74.43/73.63	  f7(I373, I374, I375, I376, I377, I378) -> f8(I373, I375, 0, I379, I380, I381) [I375 <= 8]
74.43/73.63	  f5(I382, I383, I384, I385, I386, I387) -> f7(I382, 0, 0, I388, I389, I390) [0 <= I382 - 1]
74.43/73.63	  f6(I391, I392, I393, I394, I395, I396) -> f6(I397, I392 + 1, I393, I394 + 1, I395, I398) [I393 <= 8 /\ I394 <= 8 /\ I394 <= I399 - 1 /\ -1 <= I399 - 1 /\ I397 <= I391 /\ 0 <= I391 - 1 /\ 0 <= I397 - 1]
74.43/73.63	  f6(I400, I401, I402, I403, I404, I405) -> f6(I406, I401, I402, I403 + 1, I404, I407) [I402 <= 8 /\ I403 <= 8 /\ -1 <= I408 - 1 /\ 0 <= I409 - 1 /\ I403 <= I408 - 1 /\ I406 <= I400 /\ 0 <= I400 - 1 /\ 0 <= I406 - 1]
74.43/73.63	  f6(I410, I411, I412, I413, I414, I415) -> f6(I416, I411, I412, I413 + 1, I414, I417) [I412 <= 8 /\ I413 <= 8 /\ -1 <= I418 - 1 /\ I419 <= -1 /\ I413 <= I418 - 1 /\ I416 <= I410 /\ 0 <= I410 - 1 /\ 0 <= I416 - 1]
74.43/73.63	  f6(I420, I421, I422, I423, I424, I425) -> f4(I426, I421, I422 + 1, I422 + 1, I424, I427) [0 <= I426 - 1 /\ 0 <= I420 - 1 /\ 8 <= I423 - 1 /\ I426 <= I420]
74.43/73.63	  f4(I428, I429, I430, I431, I432, I433) -> f6(I434, I429, I430, 0, I432, I435) [I430 = I431 /\ 0 <= I434 - 1 /\ 0 <= I428 - 1 /\ I430 <= 8 /\ I434 <= I428]
74.43/73.63	  f4(I436, I437, I438, I439, I440, I441) -> f5(I437, I442, I443, I444, I445, I446) [I438 = I439 /\ 0 <= I436 - 1 /\ 1 <= I440 - 1 /\ 8 <= I438 - 1]
74.43/73.63	  f2(I447, I448, I449, I450, I451, I452) -> f4(I453, 0, 0, 0, I449, I454) [0 <= I453 - 1 /\ 0 <= I447 - 1 /\ 8 <= I448 - 1 /\ I453 <= I447]
74.43/73.63	  f3(I455, I456, I457, I458, I459, I460) -> f3(I461, I456, I457 + 1, I458, I462, I463) [I456 <= 8 /\ I457 <= 8 /\ -1 <= I464 - 1 /\ I457 <= I464 - 1 /\ I457 <= I465 - 1 /\ -1 <= I465 - 1 /\ I461 <= I455 /\ 0 <= I455 - 1 /\ 0 <= I461 - 1]
74.43/73.63	  f3(I466, I467, I468, I469, I470, I471) -> f2(I472, I467 + 1, I469, I473, I474, I475) [0 <= I472 - 1 /\ 0 <= I466 - 1 /\ 8 <= I468 - 1 /\ I472 <= I466]
74.43/73.63	  f2(I476, I477, I478, I479, I480, I481) -> f3(I482, I477, 0, I478, I483, I484) [0 <= I482 - 1 /\ 0 <= I476 - 1 /\ I477 <= 8 /\ I482 <= I476]
74.43/73.63	  f1(I485, I486, I487, I488, I489, I490) -> f2(I491, 0, I486, I492, I493, I494) [0 <= I491 - 1 /\ 0 <= I485 - 1 /\ 1 <= I486 - 1 /\ I491 <= I485]
74.43/73.63	
74.43/73.63	We use the reverse value criterion with the projection function NU:
74.43/73.63	  NU[f4#(z1,z2,z3,z4,z5,z6)] = 8 + -1 * z3
74.43/73.63	  NU[f6#(z1,z2,z3,z4,z5,z6)] = 8 + -1 * (z3 + 1)
74.43/73.63	
74.43/73.63	This gives the following inequalities:
74.43/73.63	  I393 <= 8 /\ I394 <= 8 /\ I394 <= I399 - 1 /\ -1 <= I399 - 1 /\ I397 <= I391 /\ 0 <= I391 - 1 /\ 0 <= I397 - 1  ==>  8 + -1 * (I393 + 1) >= 8 + -1 * (I393 + 1)
74.43/73.63	  I402 <= 8 /\ I403 <= 8 /\ -1 <= I408 - 1 /\ 0 <= I409 - 1 /\ I403 <= I408 - 1 /\ I406 <= I400 /\ 0 <= I400 - 1 /\ 0 <= I406 - 1  ==>  8 + -1 * (I402 + 1) >= 8 + -1 * (I402 + 1)
74.43/73.63	  I412 <= 8 /\ I413 <= 8 /\ -1 <= I418 - 1 /\ I419 <= -1 /\ I413 <= I418 - 1 /\ I416 <= I410 /\ 0 <= I410 - 1 /\ 0 <= I416 - 1  ==>  8 + -1 * (I412 + 1) >= 8 + -1 * (I412 + 1)
74.43/73.63	  0 <= I426 - 1 /\ 0 <= I420 - 1 /\ 8 <= I423 - 1 /\ I426 <= I420  ==>  8 + -1 * (I422 + 1) >= 8 + -1 * (I422 + 1)
74.43/73.63	  I430 = I431 /\ 0 <= I434 - 1 /\ 0 <= I428 - 1 /\ I430 <= 8 /\ I434 <= I428  ==>  8 + -1 * I430 > 8 + -1 * (I430 + 1)  with  8 + -1 * I430 >= 0
74.43/73.63	
74.43/73.63	We remove all the strictly oriented dependency pairs.
74.43/73.63	
74.43/73.63	DP problem for innermost termination.
74.43/73.63	P =
74.43/73.63	  f6#(I391, I392, I393, I394, I395, I396) -> f6#(I397, I392 + 1, I393, I394 + 1, I395, I398) [I393 <= 8 /\ I394 <= 8 /\ I394 <= I399 - 1 /\ -1 <= I399 - 1 /\ I397 <= I391 /\ 0 <= I391 - 1 /\ 0 <= I397 - 1]
74.43/73.63	  f6#(I400, I401, I402, I403, I404, I405) -> f6#(I406, I401, I402, I403 + 1, I404, I407) [I402 <= 8 /\ I403 <= 8 /\ -1 <= I408 - 1 /\ 0 <= I409 - 1 /\ I403 <= I408 - 1 /\ I406 <= I400 /\ 0 <= I400 - 1 /\ 0 <= I406 - 1]
74.43/73.63	  f6#(I410, I411, I412, I413, I414, I415) -> f6#(I416, I411, I412, I413 + 1, I414, I417) [I412 <= 8 /\ I413 <= 8 /\ -1 <= I418 - 1 /\ I419 <= -1 /\ I413 <= I418 - 1 /\ I416 <= I410 /\ 0 <= I410 - 1 /\ 0 <= I416 - 1]
74.43/73.63	  f6#(I420, I421, I422, I423, I424, I425) -> f4#(I426, I421, I422 + 1, I422 + 1, I424, I427) [0 <= I426 - 1 /\ 0 <= I420 - 1 /\ 8 <= I423 - 1 /\ I426 <= I420]
74.43/73.63	R = 
74.43/73.63	  init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
74.43/73.63	  f16(I0, I1, I2, I3, I4, I5) -> f16(I0, I1, I2, I3 + 1, I3 + 1, I5) [-1 <= y1 - 1 /\ I3 <= I5 - 1 /\ I2 <= y1 - 1 /\ -1 <= y2 - 1 /\ I3 <= y2 - 1 /\ 0 <= y3 - 1 /\ -1 <= y4 - 1 /\ I2 <= y4 - 1 /\ -1 <= y5 - 1 /\ I3 <= y5 - 1 /\ y6 <= 9 /\ I3 = I4]
74.43/73.63	  f16(I6, I7, I8, I9, I10, I11) -> f16(I6, I7, I8, I9 + 1, I9 + 1, I11) [-1 <= I12 - 1 /\ I9 <= I11 - 1 /\ I8 <= I12 - 1 /\ -1 <= I13 - 1 /\ I9 <= I13 - 1 /\ I14 <= -1 /\ -1 <= I15 - 1 /\ I8 <= I15 - 1 /\ -1 <= I16 - 1 /\ I9 <= I16 - 1 /\ I17 <= 9 /\ I9 = I10]
74.43/73.63	  f16(I18, I19, I20, I21, I22, I23) -> f16(I18, I19, I20, I21 + 1, I21 + 1, I23) [-1 <= I24 - 1 /\ I21 <= I23 - 1 /\ I20 <= I24 - 1 /\ -1 <= I25 - 1 /\ I21 <= I25 - 1 /\ I21 = I22]
74.43/73.63	  f16(I26, I27, I28, I29, I30, I31) -> f15(I26, I31, I28 + 1, I27, I32, I33) [I29 = I30 /\ I31 <= I29]
74.43/73.63	  f15(I34, I35, I36, I37, I38, I39) -> f16(I34, I37, I36, I34, I34, I35) [I36 <= I37 - 1]
74.43/73.63	  f13(I40, I41, I42, I43, I44, I45) -> f13(I40, I41, I42 + 1, I46, I47, I48) [-1 <= I49 - 1 /\ I42 <= 8 /\ I42 <= I49 - 1 /\ -1 <= I50 - 1 /\ I41 <= I50 - 1 /\ 0 <= I51 - 1 /\ -1 <= I52 - 1 /\ I42 <= I52 - 1 /\ -1 <= I53 - 1 /\ I41 <= I53 - 1 /\ I54 <= 9]
74.43/73.63	  f13(I55, I56, I57, I58, I59, I60) -> f13(I55, I56, I57 + 1, I61, I62, I63) [-1 <= I64 - 1 /\ I57 <= 8 /\ I57 <= I64 - 1 /\ -1 <= I65 - 1 /\ I56 <= I65 - 1 /\ I66 <= -1 /\ -1 <= I67 - 1 /\ I57 <= I67 - 1 /\ -1 <= I68 - 1 /\ I56 <= I68 - 1 /\ I69 <= 9]
74.43/73.63	  f13(I70, I71, I72, I73, I74, I75) -> f13(I70, I71, I72 + 1, I76, I77, I78) [-1 <= I79 - 1 /\ I72 <= 8 /\ I72 <= I79 - 1 /\ -1 <= I80 - 1 /\ I71 <= I80 - 1]
74.43/73.63	  f14(I81, I82, I83, I84, I85, I86) -> f15(I87, I88, I89, I90, I91, I92) [0 <= I81 - 3 * I93 /\ 8 <= I83 - 1 /\ -1 <= I81 - 1 /\ -1 <= I82 - 1 /\ 0 <= I82 - 3 * I94 /\ I81 - 3 * I93 <= 2 /\ I82 - 3 * I94 <= 2 /\ 0 <= I82 - 3 * I95 /\ I82 - 3 * I95 <= 2 /\ 0 <= I82 - 3 * I96 /\ I82 - 3 * I96 <= 2 /\ 0 <= I81 - 3 * I97 /\ I81 - 3 * I97 <= 2 /\ I81 - 3 * I98 <= 2 /\ 0 <= I81 - 3 * I98 /\ I82 - (I82 - 3 * I95) = I87 /\ I82 - (I82 - 3 * I96) + 3 = I88 /\ I81 - (I81 - 3 * I97) = I89 /\ I81 - (I81 - 3 * I98) + 3 = I90]
74.43/73.63	  f13(I99, I100, I101, I102, I103, I104) -> f14(I99, I100, I101, I105, I106, I107) [0 <= I99 - 3 * I108 /\ 8 <= I101 - 1 /\ -1 <= I99 - 1 /\ 0 <= I100 - 3 * I109 /\ -1 <= I100 - 1]
74.43/73.63	  f12(I110, I111, I112, I113, I114, I115) -> f13(I110, I111, 0, I116, I117, I118) [8 <= I112 - 1]
74.43/73.63	  f12(I119, I120, I121, I122, I123, I124) -> f12(I119, I120, I121 + 1, I125, I126, I127) [-1 <= I128 - 1 /\ I121 <= 8 /\ I119 <= I128 - 1 /\ -1 <= I129 - 1 /\ I121 <= I129 - 1 /\ 0 <= I130 - 1 /\ -1 <= I131 - 1 /\ I119 <= I131 - 1 /\ -1 <= I132 - 1 /\ I121 <= I132 - 1 /\ I133 <= 9]
74.43/73.63	  f12(I134, I135, I136, I137, I138, I139) -> f12(I134, I135, I136 + 1, I140, I141, I142) [-1 <= I143 - 1 /\ I136 <= 8 /\ I134 <= I143 - 1 /\ -1 <= I144 - 1 /\ I136 <= I144 - 1 /\ I145 <= -1 /\ -1 <= I146 - 1 /\ I134 <= I146 - 1 /\ -1 <= I147 - 1 /\ I136 <= I147 - 1 /\ I148 <= 9]
74.43/73.63	  f12(I149, I150, I151, I152, I153, I154) -> f12(I149, I150, I151 + 1, I155, I156, I157) [-1 <= I158 - 1 /\ I151 <= 8 /\ I149 <= I158 - 1 /\ -1 <= I159 - 1 /\ I151 <= I159 - 1]
74.43/73.63	  f11(I160, I161, I162, I163, I164, I165) -> f12(I160, I161, 0, I166, I167, I168) [8 <= I162 - 1]
74.43/73.63	  f11(I169, I170, I171, I172, I173, I174) -> f11(I169, I170, I171 + 1, I175, I176, I177) [I171 <= 8]
74.43/73.63	  f8(I178, I179, I180, I181, I182, I183) -> f11(I179, I180, 0, I184, I185, I186) [-1 <= I187 - 1 /\ I180 <= 8 /\ I179 <= I187 - 1 /\ -1 <= I188 - 1 /\ I180 <= I188 - 1 /\ 0 <= I178 - 1]
74.43/73.63	  f7(I189, I190, I191, I192, I193, I194) -> f11(I191, I190, 0, I195, I196, I197) [8 <= I191 - 1 /\ 0 <= I189 - 1]
74.43/73.63	  f10(I198, I199, I200, I201, I202, I203) -> f10(I198, I199, I200, I201 + 1, I204, I205) [0 <= I206 - 1 /\ I201 <= 8 /\ -1 <= I207 - 1 /\ I199 <= I207 - 1 /\ -1 <= I201 - 1 /\ -1 <= I208 - 1 /\ I200 <= I208 - 1 /\ 0 <= I198 - 1 /\ I198 - 1 <= I198 - 1 /\ -1 <= I209 - 1 /\ I199 <= I209 - 1 /\ -1 <= I210 - 1 /\ I200 <= I210 - 1]
74.43/73.63	  f10(I211, I212, I213, I214, I215, I216) -> f10(I211, I212, I213, I214 + 1, I217, I218) [I219 <= -1 /\ I214 <= 8 /\ -1 <= I220 - 1 /\ I212 <= I220 - 1 /\ -1 <= I214 - 1 /\ -1 <= I221 - 1 /\ I213 <= I221 - 1 /\ 0 <= I211 - 1 /\ I211 - 1 <= I211 - 1 /\ -1 <= I222 - 1 /\ I212 <= I222 - 1 /\ -1 <= I223 - 1 /\ I213 <= I223 - 1]
74.43/73.63	  f9(I224, I225, I226, I227, I228, I229) -> f9(I224, I225, I226, I227 + 1, I230, I231) [0 <= I232 - 1 /\ I227 <= 8 /\ -1 <= I233 - 1 /\ I225 <= I233 - 1 /\ -1 <= I227 - 1 /\ -1 <= I234 - 1 /\ I226 <= I234 - 1 /\ 1 <= I225 - 1 /\ 0 <= I224 - 1 /\ I224 - 1 <= I224 - 1 /\ -1 <= I235 - 1 /\ I225 <= I235 - 1 /\ -1 <= I236 - 1 /\ I226 <= I236 - 1]
74.43/73.63	  f9(I237, I238, I239, I240, I241, I242) -> f9(I237, I238, I239, I240 + 1, I243, I244) [I245 <= -1 /\ I240 <= 8 /\ -1 <= I246 - 1 /\ I238 <= I246 - 1 /\ -1 <= I240 - 1 /\ -1 <= I247 - 1 /\ I239 <= I247 - 1 /\ 1 <= I238 - 1 /\ 0 <= I237 - 1 /\ I237 - 1 <= I237 - 1 /\ -1 <= I248 - 1 /\ I238 <= I248 - 1 /\ -1 <= I249 - 1 /\ I239 <= I249 - 1]
74.43/73.63	  f10(I250, I251, I252, I253, I254, I255) -> f5(I250 - 1, I256, I257, I258, I259, I260) [0 <= I261 - 1 /\ I253 <= 8 /\ -1 <= I262 - 1 /\ I251 <= I262 - 1 /\ -1 <= I253 - 1 /\ -1 <= I263 - 1 /\ I252 <= I263 - 1 /\ I250 - 1 <= I250 - 1 /\ 0 <= I250 - 1]
74.43/73.63	  f10(I264, I265, I266, I267, I268, I269) -> f5(I264 - 1, I270, I271, I272, I273, I274) [I275 <= -1 /\ I267 <= 8 /\ -1 <= I276 - 1 /\ I265 <= I276 - 1 /\ -1 <= I267 - 1 /\ -1 <= I277 - 1 /\ I266 <= I277 - 1 /\ I264 - 1 <= I264 - 1 /\ 0 <= I264 - 1]
74.43/73.63	  f9(I278, I279, I280, I281, I282, I283) -> f5(I278 - 1, I284, I285, I286, I287, I288) [0 <= I289 - 1 /\ I281 <= 8 /\ -1 <= I290 - 1 /\ I279 <= I290 - 1 /\ -1 <= I281 - 1 /\ -1 <= I291 - 1 /\ I280 <= I291 - 1 /\ 1 <= I279 - 1 /\ I278 - 1 <= I278 - 1 /\ 0 <= I278 - 1]
74.43/73.63	  f9(I292, I293, I294, I295, I296, I297) -> f5(I292 - 1, I298, I299, I300, I301, I302) [I303 <= -1 /\ I295 <= 8 /\ -1 <= I304 - 1 /\ I293 <= I304 - 1 /\ -1 <= I295 - 1 /\ -1 <= I305 - 1 /\ I294 <= I305 - 1 /\ 1 <= I293 - 1 /\ I292 - 1 <= I292 - 1 /\ 0 <= I292 - 1]
74.43/73.63	  f10(I306, I307, I308, I309, I310, I311) -> f10(I306, I307, I308, I309 + 1, I312, I313) [I309 <= 8]
74.43/73.63	  f9(I314, I315, I316, I317, I318, I319) -> f9(I314, I315, I316, I317 + 1, I320, I321) [I317 <= 8]
74.43/73.63	  f8(I322, I323, I324, I325, I326, I327) -> f10(I322, I323, I324, 0, I328, I329) [-1 <= I330 - 1 /\ I324 <= 8 /\ I323 <= I330 - 1 /\ -1 <= I331 - 1 /\ I324 <= I331 - 1 /\ 0 <= I322 - 1]
74.43/73.63	  f7(I332, I333, I334, I335, I336, I337) -> f9(I332, I334, I333, 0, I338, I339) [8 <= I334 - 1 /\ 0 <= I332 - 1]
74.43/73.63	  f8(I340, I341, I342, I343, I344, I345) -> f8(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.63	  f8(I352, I353, I354, I355, I356, I357) -> f8(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.63	  f8(I364, I365, I366, I367, I368, I369) -> f7(I364, I366, I365 + 1, I370, I371, I372) [8 <= I366 - 1]
74.43/73.63	  f7(I373, I374, I375, I376, I377, I378) -> f8(I373, I375, 0, I379, I380, I381) [I375 <= 8]
74.43/73.63	  f5(I382, I383, I384, I385, I386, I387) -> f7(I382, 0, 0, I388, I389, I390) [0 <= I382 - 1]
74.43/73.63	  f6(I391, I392, I393, I394, I395, I396) -> f6(I397, I392 + 1, I393, I394 + 1, I395, I398) [I393 <= 8 /\ I394 <= 8 /\ I394 <= I399 - 1 /\ -1 <= I399 - 1 /\ I397 <= I391 /\ 0 <= I391 - 1 /\ 0 <= I397 - 1]
74.43/73.63	  f6(I400, I401, I402, I403, I404, I405) -> f6(I406, I401, I402, I403 + 1, I404, I407) [I402 <= 8 /\ I403 <= 8 /\ -1 <= I408 - 1 /\ 0 <= I409 - 1 /\ I403 <= I408 - 1 /\ I406 <= I400 /\ 0 <= I400 - 1 /\ 0 <= I406 - 1]
74.43/73.63	  f6(I410, I411, I412, I413, I414, I415) -> f6(I416, I411, I412, I413 + 1, I414, I417) [I412 <= 8 /\ I413 <= 8 /\ -1 <= I418 - 1 /\ I419 <= -1 /\ I413 <= I418 - 1 /\ I416 <= I410 /\ 0 <= I410 - 1 /\ 0 <= I416 - 1]
74.43/73.63	  f6(I420, I421, I422, I423, I424, I425) -> f4(I426, I421, I422 + 1, I422 + 1, I424, I427) [0 <= I426 - 1 /\ 0 <= I420 - 1 /\ 8 <= I423 - 1 /\ I426 <= I420]
74.43/73.63	  f4(I428, I429, I430, I431, I432, I433) -> f6(I434, I429, I430, 0, I432, I435) [I430 = I431 /\ 0 <= I434 - 1 /\ 0 <= I428 - 1 /\ I430 <= 8 /\ I434 <= I428]
74.43/73.63	  f4(I436, I437, I438, I439, I440, I441) -> f5(I437, I442, I443, I444, I445, I446) [I438 = I439 /\ 0 <= I436 - 1 /\ 1 <= I440 - 1 /\ 8 <= I438 - 1]
74.43/73.63	  f2(I447, I448, I449, I450, I451, I452) -> f4(I453, 0, 0, 0, I449, I454) [0 <= I453 - 1 /\ 0 <= I447 - 1 /\ 8 <= I448 - 1 /\ I453 <= I447]
74.43/73.63	  f3(I455, I456, I457, I458, I459, I460) -> f3(I461, I456, I457 + 1, I458, I462, I463) [I456 <= 8 /\ I457 <= 8 /\ -1 <= I464 - 1 /\ I457 <= I464 - 1 /\ I457 <= I465 - 1 /\ -1 <= I465 - 1 /\ I461 <= I455 /\ 0 <= I455 - 1 /\ 0 <= I461 - 1]
74.43/73.63	  f3(I466, I467, I468, I469, I470, I471) -> f2(I472, I467 + 1, I469, I473, I474, I475) [0 <= I472 - 1 /\ 0 <= I466 - 1 /\ 8 <= I468 - 1 /\ I472 <= I466]
74.43/73.63	  f2(I476, I477, I478, I479, I480, I481) -> f3(I482, I477, 0, I478, I483, I484) [0 <= I482 - 1 /\ 0 <= I476 - 1 /\ I477 <= 8 /\ I482 <= I476]
74.43/73.63	  f1(I485, I486, I487, I488, I489, I490) -> f2(I491, 0, I486, I492, I493, I494) [0 <= I491 - 1 /\ 0 <= I485 - 1 /\ 1 <= I486 - 1 /\ I491 <= I485]
74.43/73.63	
74.43/73.63	The dependency graph for this problem is:
74.43/73.63	  36 -> 36, 37, 38, 39
74.43/73.63	  37 -> 36, 37, 38, 39
74.43/73.63	  38 -> 36, 37, 38, 39
74.43/73.63	  39 -> 
74.43/73.63	Where:
74.43/73.63	  36) f6#(I391, I392, I393, I394, I395, I396) -> f6#(I397, I392 + 1, I393, I394 + 1, I395, I398) [I393 <= 8 /\ I394 <= 8 /\ I394 <= I399 - 1 /\ -1 <= I399 - 1 /\ I397 <= I391 /\ 0 <= I391 - 1 /\ 0 <= I397 - 1]
74.43/73.63	  37) f6#(I400, I401, I402, I403, I404, I405) -> f6#(I406, I401, I402, I403 + 1, I404, I407) [I402 <= 8 /\ I403 <= 8 /\ -1 <= I408 - 1 /\ 0 <= I409 - 1 /\ I403 <= I408 - 1 /\ I406 <= I400 /\ 0 <= I400 - 1 /\ 0 <= I406 - 1]
74.43/73.63	  38) f6#(I410, I411, I412, I413, I414, I415) -> f6#(I416, I411, I412, I413 + 1, I414, I417) [I412 <= 8 /\ I413 <= 8 /\ -1 <= I418 - 1 /\ I419 <= -1 /\ I413 <= I418 - 1 /\ I416 <= I410 /\ 0 <= I410 - 1 /\ 0 <= I416 - 1]
74.43/73.63	  39) f6#(I420, I421, I422, I423, I424, I425) -> f4#(I426, I421, I422 + 1, I422 + 1, I424, I427) [0 <= I426 - 1 /\ 0 <= I420 - 1 /\ 8 <= I423 - 1 /\ I426 <= I420]
74.43/73.63	
74.43/73.63	We have the following SCCs.
74.43/73.63	  { 36, 37, 38 }
74.43/73.63	
74.43/73.63	DP problem for innermost termination.
74.43/73.63	P =
74.43/73.63	  f6#(I391, I392, I393, I394, I395, I396) -> f6#(I397, I392 + 1, I393, I394 + 1, I395, I398) [I393 <= 8 /\ I394 <= 8 /\ I394 <= I399 - 1 /\ -1 <= I399 - 1 /\ I397 <= I391 /\ 0 <= I391 - 1 /\ 0 <= I397 - 1]
74.43/73.63	  f6#(I400, I401, I402, I403, I404, I405) -> f6#(I406, I401, I402, I403 + 1, I404, I407) [I402 <= 8 /\ I403 <= 8 /\ -1 <= I408 - 1 /\ 0 <= I409 - 1 /\ I403 <= I408 - 1 /\ I406 <= I400 /\ 0 <= I400 - 1 /\ 0 <= I406 - 1]
74.43/73.63	  f6#(I410, I411, I412, I413, I414, I415) -> f6#(I416, I411, I412, I413 + 1, I414, I417) [I412 <= 8 /\ I413 <= 8 /\ -1 <= I418 - 1 /\ I419 <= -1 /\ I413 <= I418 - 1 /\ I416 <= I410 /\ 0 <= I410 - 1 /\ 0 <= I416 - 1]
74.43/73.63	R = 
74.43/73.63	  init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
74.43/73.63	  f16(I0, I1, I2, I3, I4, I5) -> f16(I0, I1, I2, I3 + 1, I3 + 1, I5) [-1 <= y1 - 1 /\ I3 <= I5 - 1 /\ I2 <= y1 - 1 /\ -1 <= y2 - 1 /\ I3 <= y2 - 1 /\ 0 <= y3 - 1 /\ -1 <= y4 - 1 /\ I2 <= y4 - 1 /\ -1 <= y5 - 1 /\ I3 <= y5 - 1 /\ y6 <= 9 /\ I3 = I4]
74.43/73.63	  f16(I6, I7, I8, I9, I10, I11) -> f16(I6, I7, I8, I9 + 1, I9 + 1, I11) [-1 <= I12 - 1 /\ I9 <= I11 - 1 /\ I8 <= I12 - 1 /\ -1 <= I13 - 1 /\ I9 <= I13 - 1 /\ I14 <= -1 /\ -1 <= I15 - 1 /\ I8 <= I15 - 1 /\ -1 <= I16 - 1 /\ I9 <= I16 - 1 /\ I17 <= 9 /\ I9 = I10]
74.43/73.63	  f16(I18, I19, I20, I21, I22, I23) -> f16(I18, I19, I20, I21 + 1, I21 + 1, I23) [-1 <= I24 - 1 /\ I21 <= I23 - 1 /\ I20 <= I24 - 1 /\ -1 <= I25 - 1 /\ I21 <= I25 - 1 /\ I21 = I22]
74.43/73.63	  f16(I26, I27, I28, I29, I30, I31) -> f15(I26, I31, I28 + 1, I27, I32, I33) [I29 = I30 /\ I31 <= I29]
74.43/73.63	  f15(I34, I35, I36, I37, I38, I39) -> f16(I34, I37, I36, I34, I34, I35) [I36 <= I37 - 1]
74.43/73.63	  f13(I40, I41, I42, I43, I44, I45) -> f13(I40, I41, I42 + 1, I46, I47, I48) [-1 <= I49 - 1 /\ I42 <= 8 /\ I42 <= I49 - 1 /\ -1 <= I50 - 1 /\ I41 <= I50 - 1 /\ 0 <= I51 - 1 /\ -1 <= I52 - 1 /\ I42 <= I52 - 1 /\ -1 <= I53 - 1 /\ I41 <= I53 - 1 /\ I54 <= 9]
74.43/73.63	  f13(I55, I56, I57, I58, I59, I60) -> f13(I55, I56, I57 + 1, I61, I62, I63) [-1 <= I64 - 1 /\ I57 <= 8 /\ I57 <= I64 - 1 /\ -1 <= I65 - 1 /\ I56 <= I65 - 1 /\ I66 <= -1 /\ -1 <= I67 - 1 /\ I57 <= I67 - 1 /\ -1 <= I68 - 1 /\ I56 <= I68 - 1 /\ I69 <= 9]
74.43/73.63	  f13(I70, I71, I72, I73, I74, I75) -> f13(I70, I71, I72 + 1, I76, I77, I78) [-1 <= I79 - 1 /\ I72 <= 8 /\ I72 <= I79 - 1 /\ -1 <= I80 - 1 /\ I71 <= I80 - 1]
74.43/73.63	  f14(I81, I82, I83, I84, I85, I86) -> f15(I87, I88, I89, I90, I91, I92) [0 <= I81 - 3 * I93 /\ 8 <= I83 - 1 /\ -1 <= I81 - 1 /\ -1 <= I82 - 1 /\ 0 <= I82 - 3 * I94 /\ I81 - 3 * I93 <= 2 /\ I82 - 3 * I94 <= 2 /\ 0 <= I82 - 3 * I95 /\ I82 - 3 * I95 <= 2 /\ 0 <= I82 - 3 * I96 /\ I82 - 3 * I96 <= 2 /\ 0 <= I81 - 3 * I97 /\ I81 - 3 * I97 <= 2 /\ I81 - 3 * I98 <= 2 /\ 0 <= I81 - 3 * I98 /\ I82 - (I82 - 3 * I95) = I87 /\ I82 - (I82 - 3 * I96) + 3 = I88 /\ I81 - (I81 - 3 * I97) = I89 /\ I81 - (I81 - 3 * I98) + 3 = I90]
74.43/73.63	  f13(I99, I100, I101, I102, I103, I104) -> f14(I99, I100, I101, I105, I106, I107) [0 <= I99 - 3 * I108 /\ 8 <= I101 - 1 /\ -1 <= I99 - 1 /\ 0 <= I100 - 3 * I109 /\ -1 <= I100 - 1]
74.43/73.63	  f12(I110, I111, I112, I113, I114, I115) -> f13(I110, I111, 0, I116, I117, I118) [8 <= I112 - 1]
74.43/73.63	  f12(I119, I120, I121, I122, I123, I124) -> f12(I119, I120, I121 + 1, I125, I126, I127) [-1 <= I128 - 1 /\ I121 <= 8 /\ I119 <= I128 - 1 /\ -1 <= I129 - 1 /\ I121 <= I129 - 1 /\ 0 <= I130 - 1 /\ -1 <= I131 - 1 /\ I119 <= I131 - 1 /\ -1 <= I132 - 1 /\ I121 <= I132 - 1 /\ I133 <= 9]
74.43/73.63	  f12(I134, I135, I136, I137, I138, I139) -> f12(I134, I135, I136 + 1, I140, I141, I142) [-1 <= I143 - 1 /\ I136 <= 8 /\ I134 <= I143 - 1 /\ -1 <= I144 - 1 /\ I136 <= I144 - 1 /\ I145 <= -1 /\ -1 <= I146 - 1 /\ I134 <= I146 - 1 /\ -1 <= I147 - 1 /\ I136 <= I147 - 1 /\ I148 <= 9]
74.43/73.63	  f12(I149, I150, I151, I152, I153, I154) -> f12(I149, I150, I151 + 1, I155, I156, I157) [-1 <= I158 - 1 /\ I151 <= 8 /\ I149 <= I158 - 1 /\ -1 <= I159 - 1 /\ I151 <= I159 - 1]
74.43/73.63	  f11(I160, I161, I162, I163, I164, I165) -> f12(I160, I161, 0, I166, I167, I168) [8 <= I162 - 1]
74.43/73.63	  f11(I169, I170, I171, I172, I173, I174) -> f11(I169, I170, I171 + 1, I175, I176, I177) [I171 <= 8]
74.43/73.63	  f8(I178, I179, I180, I181, I182, I183) -> f11(I179, I180, 0, I184, I185, I186) [-1 <= I187 - 1 /\ I180 <= 8 /\ I179 <= I187 - 1 /\ -1 <= I188 - 1 /\ I180 <= I188 - 1 /\ 0 <= I178 - 1]
74.43/73.63	  f7(I189, I190, I191, I192, I193, I194) -> f11(I191, I190, 0, I195, I196, I197) [8 <= I191 - 1 /\ 0 <= I189 - 1]
74.43/73.63	  f10(I198, I199, I200, I201, I202, I203) -> f10(I198, I199, I200, I201 + 1, I204, I205) [0 <= I206 - 1 /\ I201 <= 8 /\ -1 <= I207 - 1 /\ I199 <= I207 - 1 /\ -1 <= I201 - 1 /\ -1 <= I208 - 1 /\ I200 <= I208 - 1 /\ 0 <= I198 - 1 /\ I198 - 1 <= I198 - 1 /\ -1 <= I209 - 1 /\ I199 <= I209 - 1 /\ -1 <= I210 - 1 /\ I200 <= I210 - 1]
74.43/73.63	  f10(I211, I212, I213, I214, I215, I216) -> f10(I211, I212, I213, I214 + 1, I217, I218) [I219 <= -1 /\ I214 <= 8 /\ -1 <= I220 - 1 /\ I212 <= I220 - 1 /\ -1 <= I214 - 1 /\ -1 <= I221 - 1 /\ I213 <= I221 - 1 /\ 0 <= I211 - 1 /\ I211 - 1 <= I211 - 1 /\ -1 <= I222 - 1 /\ I212 <= I222 - 1 /\ -1 <= I223 - 1 /\ I213 <= I223 - 1]
74.43/73.63	  f9(I224, I225, I226, I227, I228, I229) -> f9(I224, I225, I226, I227 + 1, I230, I231) [0 <= I232 - 1 /\ I227 <= 8 /\ -1 <= I233 - 1 /\ I225 <= I233 - 1 /\ -1 <= I227 - 1 /\ -1 <= I234 - 1 /\ I226 <= I234 - 1 /\ 1 <= I225 - 1 /\ 0 <= I224 - 1 /\ I224 - 1 <= I224 - 1 /\ -1 <= I235 - 1 /\ I225 <= I235 - 1 /\ -1 <= I236 - 1 /\ I226 <= I236 - 1]
74.43/73.63	  f9(I237, I238, I239, I240, I241, I242) -> f9(I237, I238, I239, I240 + 1, I243, I244) [I245 <= -1 /\ I240 <= 8 /\ -1 <= I246 - 1 /\ I238 <= I246 - 1 /\ -1 <= I240 - 1 /\ -1 <= I247 - 1 /\ I239 <= I247 - 1 /\ 1 <= I238 - 1 /\ 0 <= I237 - 1 /\ I237 - 1 <= I237 - 1 /\ -1 <= I248 - 1 /\ I238 <= I248 - 1 /\ -1 <= I249 - 1 /\ I239 <= I249 - 1]
74.43/73.63	  f10(I250, I251, I252, I253, I254, I255) -> f5(I250 - 1, I256, I257, I258, I259, I260) [0 <= I261 - 1 /\ I253 <= 8 /\ -1 <= I262 - 1 /\ I251 <= I262 - 1 /\ -1 <= I253 - 1 /\ -1 <= I263 - 1 /\ I252 <= I263 - 1 /\ I250 - 1 <= I250 - 1 /\ 0 <= I250 - 1]
74.43/73.63	  f10(I264, I265, I266, I267, I268, I269) -> f5(I264 - 1, I270, I271, I272, I273, I274) [I275 <= -1 /\ I267 <= 8 /\ -1 <= I276 - 1 /\ I265 <= I276 - 1 /\ -1 <= I267 - 1 /\ -1 <= I277 - 1 /\ I266 <= I277 - 1 /\ I264 - 1 <= I264 - 1 /\ 0 <= I264 - 1]
74.43/73.63	  f9(I278, I279, I280, I281, I282, I283) -> f5(I278 - 1, I284, I285, I286, I287, I288) [0 <= I289 - 1 /\ I281 <= 8 /\ -1 <= I290 - 1 /\ I279 <= I290 - 1 /\ -1 <= I281 - 1 /\ -1 <= I291 - 1 /\ I280 <= I291 - 1 /\ 1 <= I279 - 1 /\ I278 - 1 <= I278 - 1 /\ 0 <= I278 - 1]
74.43/73.63	  f9(I292, I293, I294, I295, I296, I297) -> f5(I292 - 1, I298, I299, I300, I301, I302) [I303 <= -1 /\ I295 <= 8 /\ -1 <= I304 - 1 /\ I293 <= I304 - 1 /\ -1 <= I295 - 1 /\ -1 <= I305 - 1 /\ I294 <= I305 - 1 /\ 1 <= I293 - 1 /\ I292 - 1 <= I292 - 1 /\ 0 <= I292 - 1]
74.43/73.63	  f10(I306, I307, I308, I309, I310, I311) -> f10(I306, I307, I308, I309 + 1, I312, I313) [I309 <= 8]
74.43/73.63	  f9(I314, I315, I316, I317, I318, I319) -> f9(I314, I315, I316, I317 + 1, I320, I321) [I317 <= 8]
74.43/73.63	  f8(I322, I323, I324, I325, I326, I327) -> f10(I322, I323, I324, 0, I328, I329) [-1 <= I330 - 1 /\ I324 <= 8 /\ I323 <= I330 - 1 /\ -1 <= I331 - 1 /\ I324 <= I331 - 1 /\ 0 <= I322 - 1]
74.43/73.63	  f7(I332, I333, I334, I335, I336, I337) -> f9(I332, I334, I333, 0, I338, I339) [8 <= I334 - 1 /\ 0 <= I332 - 1]
74.43/73.63	  f8(I340, I341, I342, I343, I344, I345) -> f8(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.63	  f8(I352, I353, I354, I355, I356, I357) -> f8(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.63	  f8(I364, I365, I366, I367, I368, I369) -> f7(I364, I366, I365 + 1, I370, I371, I372) [8 <= I366 - 1]
74.43/73.63	  f7(I373, I374, I375, I376, I377, I378) -> f8(I373, I375, 0, I379, I380, I381) [I375 <= 8]
74.43/73.63	  f5(I382, I383, I384, I385, I386, I387) -> f7(I382, 0, 0, I388, I389, I390) [0 <= I382 - 1]
74.43/73.63	  f6(I391, I392, I393, I394, I395, I396) -> f6(I397, I392 + 1, I393, I394 + 1, I395, I398) [I393 <= 8 /\ I394 <= 8 /\ I394 <= I399 - 1 /\ -1 <= I399 - 1 /\ I397 <= I391 /\ 0 <= I391 - 1 /\ 0 <= I397 - 1]
74.43/73.63	  f6(I400, I401, I402, I403, I404, I405) -> f6(I406, I401, I402, I403 + 1, I404, I407) [I402 <= 8 /\ I403 <= 8 /\ -1 <= I408 - 1 /\ 0 <= I409 - 1 /\ I403 <= I408 - 1 /\ I406 <= I400 /\ 0 <= I400 - 1 /\ 0 <= I406 - 1]
74.43/73.63	  f6(I410, I411, I412, I413, I414, I415) -> f6(I416, I411, I412, I413 + 1, I414, I417) [I412 <= 8 /\ I413 <= 8 /\ -1 <= I418 - 1 /\ I419 <= -1 /\ I413 <= I418 - 1 /\ I416 <= I410 /\ 0 <= I410 - 1 /\ 0 <= I416 - 1]
74.43/73.63	  f6(I420, I421, I422, I423, I424, I425) -> f4(I426, I421, I422 + 1, I422 + 1, I424, I427) [0 <= I426 - 1 /\ 0 <= I420 - 1 /\ 8 <= I423 - 1 /\ I426 <= I420]
74.43/73.63	  f4(I428, I429, I430, I431, I432, I433) -> f6(I434, I429, I430, 0, I432, I435) [I430 = I431 /\ 0 <= I434 - 1 /\ 0 <= I428 - 1 /\ I430 <= 8 /\ I434 <= I428]
74.43/73.63	  f4(I436, I437, I438, I439, I440, I441) -> f5(I437, I442, I443, I444, I445, I446) [I438 = I439 /\ 0 <= I436 - 1 /\ 1 <= I440 - 1 /\ 8 <= I438 - 1]
74.43/73.63	  f2(I447, I448, I449, I450, I451, I452) -> f4(I453, 0, 0, 0, I449, I454) [0 <= I453 - 1 /\ 0 <= I447 - 1 /\ 8 <= I448 - 1 /\ I453 <= I447]
74.43/73.63	  f3(I455, I456, I457, I458, I459, I460) -> f3(I461, I456, I457 + 1, I458, I462, I463) [I456 <= 8 /\ I457 <= 8 /\ -1 <= I464 - 1 /\ I457 <= I464 - 1 /\ I457 <= I465 - 1 /\ -1 <= I465 - 1 /\ I461 <= I455 /\ 0 <= I455 - 1 /\ 0 <= I461 - 1]
74.43/73.63	  f3(I466, I467, I468, I469, I470, I471) -> f2(I472, I467 + 1, I469, I473, I474, I475) [0 <= I472 - 1 /\ 0 <= I466 - 1 /\ 8 <= I468 - 1 /\ I472 <= I466]
74.43/73.63	  f2(I476, I477, I478, I479, I480, I481) -> f3(I482, I477, 0, I478, I483, I484) [0 <= I482 - 1 /\ 0 <= I476 - 1 /\ I477 <= 8 /\ I482 <= I476]
74.43/73.63	  f1(I485, I486, I487, I488, I489, I490) -> f2(I491, 0, I486, I492, I493, I494) [0 <= I491 - 1 /\ 0 <= I485 - 1 /\ 1 <= I486 - 1 /\ I491 <= I485]
74.43/73.63	
74.43/73.63	We use the reverse value criterion with the projection function NU:
74.43/73.63	  NU[f6#(z1,z2,z3,z4,z5,z6)] = 8 + -1 * z4
74.43/73.63	
74.43/73.63	This gives the following inequalities:
74.43/73.63	  I393 <= 8 /\ I394 <= 8 /\ I394 <= I399 - 1 /\ -1 <= I399 - 1 /\ I397 <= I391 /\ 0 <= I391 - 1 /\ 0 <= I397 - 1  ==>  8 + -1 * I394 > 8 + -1 * (I394 + 1)  with  8 + -1 * I394 >= 0
74.43/73.63	  I402 <= 8 /\ I403 <= 8 /\ -1 <= I408 - 1 /\ 0 <= I409 - 1 /\ I403 <= I408 - 1 /\ I406 <= I400 /\ 0 <= I400 - 1 /\ 0 <= I406 - 1  ==>  8 + -1 * I403 > 8 + -1 * (I403 + 1)  with  8 + -1 * I403 >= 0
74.43/73.63	  I412 <= 8 /\ I413 <= 8 /\ -1 <= I418 - 1 /\ I419 <= -1 /\ I413 <= I418 - 1 /\ I416 <= I410 /\ 0 <= I410 - 1 /\ 0 <= I416 - 1  ==>  8 + -1 * I413 > 8 + -1 * (I413 + 1)  with  8 + -1 * I413 >= 0
74.43/73.63	
74.43/73.63	All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed.
74.43/73.63	
74.43/73.63	DP problem for innermost termination.
74.43/73.63	P =
74.43/73.63	  f3#(I455, I456, I457, I458, I459, I460) -> f3#(I461, I456, I457 + 1, I458, I462, I463) [I456 <= 8 /\ I457 <= 8 /\ -1 <= I464 - 1 /\ I457 <= I464 - 1 /\ I457 <= I465 - 1 /\ -1 <= I465 - 1 /\ I461 <= I455 /\ 0 <= I455 - 1 /\ 0 <= I461 - 1]
74.43/73.63	  f3#(I466, I467, I468, I469, I470, I471) -> f2#(I472, I467 + 1, I469, I473, I474, I475) [0 <= I472 - 1 /\ 0 <= I466 - 1 /\ 8 <= I468 - 1 /\ I472 <= I466]
74.43/73.63	  f2#(I476, I477, I478, I479, I480, I481) -> f3#(I482, I477, 0, I478, I483, I484) [0 <= I482 - 1 /\ 0 <= I476 - 1 /\ I477 <= 8 /\ I482 <= I476]
74.43/73.63	R = 
74.43/73.63	  init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
74.43/73.63	  f16(I0, I1, I2, I3, I4, I5) -> f16(I0, I1, I2, I3 + 1, I3 + 1, I5) [-1 <= y1 - 1 /\ I3 <= I5 - 1 /\ I2 <= y1 - 1 /\ -1 <= y2 - 1 /\ I3 <= y2 - 1 /\ 0 <= y3 - 1 /\ -1 <= y4 - 1 /\ I2 <= y4 - 1 /\ -1 <= y5 - 1 /\ I3 <= y5 - 1 /\ y6 <= 9 /\ I3 = I4]
74.43/73.63	  f16(I6, I7, I8, I9, I10, I11) -> f16(I6, I7, I8, I9 + 1, I9 + 1, I11) [-1 <= I12 - 1 /\ I9 <= I11 - 1 /\ I8 <= I12 - 1 /\ -1 <= I13 - 1 /\ I9 <= I13 - 1 /\ I14 <= -1 /\ -1 <= I15 - 1 /\ I8 <= I15 - 1 /\ -1 <= I16 - 1 /\ I9 <= I16 - 1 /\ I17 <= 9 /\ I9 = I10]
74.43/73.63	  f16(I18, I19, I20, I21, I22, I23) -> f16(I18, I19, I20, I21 + 1, I21 + 1, I23) [-1 <= I24 - 1 /\ I21 <= I23 - 1 /\ I20 <= I24 - 1 /\ -1 <= I25 - 1 /\ I21 <= I25 - 1 /\ I21 = I22]
74.43/73.63	  f16(I26, I27, I28, I29, I30, I31) -> f15(I26, I31, I28 + 1, I27, I32, I33) [I29 = I30 /\ I31 <= I29]
74.43/73.63	  f15(I34, I35, I36, I37, I38, I39) -> f16(I34, I37, I36, I34, I34, I35) [I36 <= I37 - 1]
74.43/73.63	  f13(I40, I41, I42, I43, I44, I45) -> f13(I40, I41, I42 + 1, I46, I47, I48) [-1 <= I49 - 1 /\ I42 <= 8 /\ I42 <= I49 - 1 /\ -1 <= I50 - 1 /\ I41 <= I50 - 1 /\ 0 <= I51 - 1 /\ -1 <= I52 - 1 /\ I42 <= I52 - 1 /\ -1 <= I53 - 1 /\ I41 <= I53 - 1 /\ I54 <= 9]
74.43/73.63	  f13(I55, I56, I57, I58, I59, I60) -> f13(I55, I56, I57 + 1, I61, I62, I63) [-1 <= I64 - 1 /\ I57 <= 8 /\ I57 <= I64 - 1 /\ -1 <= I65 - 1 /\ I56 <= I65 - 1 /\ I66 <= -1 /\ -1 <= I67 - 1 /\ I57 <= I67 - 1 /\ -1 <= I68 - 1 /\ I56 <= I68 - 1 /\ I69 <= 9]
74.43/73.63	  f13(I70, I71, I72, I73, I74, I75) -> f13(I70, I71, I72 + 1, I76, I77, I78) [-1 <= I79 - 1 /\ I72 <= 8 /\ I72 <= I79 - 1 /\ -1 <= I80 - 1 /\ I71 <= I80 - 1]
74.43/73.63	  f14(I81, I82, I83, I84, I85, I86) -> f15(I87, I88, I89, I90, I91, I92) [0 <= I81 - 3 * I93 /\ 8 <= I83 - 1 /\ -1 <= I81 - 1 /\ -1 <= I82 - 1 /\ 0 <= I82 - 3 * I94 /\ I81 - 3 * I93 <= 2 /\ I82 - 3 * I94 <= 2 /\ 0 <= I82 - 3 * I95 /\ I82 - 3 * I95 <= 2 /\ 0 <= I82 - 3 * I96 /\ I82 - 3 * I96 <= 2 /\ 0 <= I81 - 3 * I97 /\ I81 - 3 * I97 <= 2 /\ I81 - 3 * I98 <= 2 /\ 0 <= I81 - 3 * I98 /\ I82 - (I82 - 3 * I95) = I87 /\ I82 - (I82 - 3 * I96) + 3 = I88 /\ I81 - (I81 - 3 * I97) = I89 /\ I81 - (I81 - 3 * I98) + 3 = I90]
74.43/73.63	  f13(I99, I100, I101, I102, I103, I104) -> f14(I99, I100, I101, I105, I106, I107) [0 <= I99 - 3 * I108 /\ 8 <= I101 - 1 /\ -1 <= I99 - 1 /\ 0 <= I100 - 3 * I109 /\ -1 <= I100 - 1]
74.43/73.63	  f12(I110, I111, I112, I113, I114, I115) -> f13(I110, I111, 0, I116, I117, I118) [8 <= I112 - 1]
74.43/73.63	  f12(I119, I120, I121, I122, I123, I124) -> f12(I119, I120, I121 + 1, I125, I126, I127) [-1 <= I128 - 1 /\ I121 <= 8 /\ I119 <= I128 - 1 /\ -1 <= I129 - 1 /\ I121 <= I129 - 1 /\ 0 <= I130 - 1 /\ -1 <= I131 - 1 /\ I119 <= I131 - 1 /\ -1 <= I132 - 1 /\ I121 <= I132 - 1 /\ I133 <= 9]
74.43/73.63	  f12(I134, I135, I136, I137, I138, I139) -> f12(I134, I135, I136 + 1, I140, I141, I142) [-1 <= I143 - 1 /\ I136 <= 8 /\ I134 <= I143 - 1 /\ -1 <= I144 - 1 /\ I136 <= I144 - 1 /\ I145 <= -1 /\ -1 <= I146 - 1 /\ I134 <= I146 - 1 /\ -1 <= I147 - 1 /\ I136 <= I147 - 1 /\ I148 <= 9]
74.43/73.63	  f12(I149, I150, I151, I152, I153, I154) -> f12(I149, I150, I151 + 1, I155, I156, I157) [-1 <= I158 - 1 /\ I151 <= 8 /\ I149 <= I158 - 1 /\ -1 <= I159 - 1 /\ I151 <= I159 - 1]
74.43/73.63	  f11(I160, I161, I162, I163, I164, I165) -> f12(I160, I161, 0, I166, I167, I168) [8 <= I162 - 1]
74.43/73.63	  f11(I169, I170, I171, I172, I173, I174) -> f11(I169, I170, I171 + 1, I175, I176, I177) [I171 <= 8]
74.43/73.63	  f8(I178, I179, I180, I181, I182, I183) -> f11(I179, I180, 0, I184, I185, I186) [-1 <= I187 - 1 /\ I180 <= 8 /\ I179 <= I187 - 1 /\ -1 <= I188 - 1 /\ I180 <= I188 - 1 /\ 0 <= I178 - 1]
74.43/73.63	  f7(I189, I190, I191, I192, I193, I194) -> f11(I191, I190, 0, I195, I196, I197) [8 <= I191 - 1 /\ 0 <= I189 - 1]
74.43/73.63	  f10(I198, I199, I200, I201, I202, I203) -> f10(I198, I199, I200, I201 + 1, I204, I205) [0 <= I206 - 1 /\ I201 <= 8 /\ -1 <= I207 - 1 /\ I199 <= I207 - 1 /\ -1 <= I201 - 1 /\ -1 <= I208 - 1 /\ I200 <= I208 - 1 /\ 0 <= I198 - 1 /\ I198 - 1 <= I198 - 1 /\ -1 <= I209 - 1 /\ I199 <= I209 - 1 /\ -1 <= I210 - 1 /\ I200 <= I210 - 1]
74.43/73.63	  f10(I211, I212, I213, I214, I215, I216) -> f10(I211, I212, I213, I214 + 1, I217, I218) [I219 <= -1 /\ I214 <= 8 /\ -1 <= I220 - 1 /\ I212 <= I220 - 1 /\ -1 <= I214 - 1 /\ -1 <= I221 - 1 /\ I213 <= I221 - 1 /\ 0 <= I211 - 1 /\ I211 - 1 <= I211 - 1 /\ -1 <= I222 - 1 /\ I212 <= I222 - 1 /\ -1 <= I223 - 1 /\ I213 <= I223 - 1]
74.43/73.63	  f9(I224, I225, I226, I227, I228, I229) -> f9(I224, I225, I226, I227 + 1, I230, I231) [0 <= I232 - 1 /\ I227 <= 8 /\ -1 <= I233 - 1 /\ I225 <= I233 - 1 /\ -1 <= I227 - 1 /\ -1 <= I234 - 1 /\ I226 <= I234 - 1 /\ 1 <= I225 - 1 /\ 0 <= I224 - 1 /\ I224 - 1 <= I224 - 1 /\ -1 <= I235 - 1 /\ I225 <= I235 - 1 /\ -1 <= I236 - 1 /\ I226 <= I236 - 1]
74.43/73.63	  f9(I237, I238, I239, I240, I241, I242) -> f9(I237, I238, I239, I240 + 1, I243, I244) [I245 <= -1 /\ I240 <= 8 /\ -1 <= I246 - 1 /\ I238 <= I246 - 1 /\ -1 <= I240 - 1 /\ -1 <= I247 - 1 /\ I239 <= I247 - 1 /\ 1 <= I238 - 1 /\ 0 <= I237 - 1 /\ I237 - 1 <= I237 - 1 /\ -1 <= I248 - 1 /\ I238 <= I248 - 1 /\ -1 <= I249 - 1 /\ I239 <= I249 - 1]
74.43/73.63	  f10(I250, I251, I252, I253, I254, I255) -> f5(I250 - 1, I256, I257, I258, I259, I260) [0 <= I261 - 1 /\ I253 <= 8 /\ -1 <= I262 - 1 /\ I251 <= I262 - 1 /\ -1 <= I253 - 1 /\ -1 <= I263 - 1 /\ I252 <= I263 - 1 /\ I250 - 1 <= I250 - 1 /\ 0 <= I250 - 1]
74.43/73.63	  f10(I264, I265, I266, I267, I268, I269) -> f5(I264 - 1, I270, I271, I272, I273, I274) [I275 <= -1 /\ I267 <= 8 /\ -1 <= I276 - 1 /\ I265 <= I276 - 1 /\ -1 <= I267 - 1 /\ -1 <= I277 - 1 /\ I266 <= I277 - 1 /\ I264 - 1 <= I264 - 1 /\ 0 <= I264 - 1]
74.43/73.63	  f9(I278, I279, I280, I281, I282, I283) -> f5(I278 - 1, I284, I285, I286, I287, I288) [0 <= I289 - 1 /\ I281 <= 8 /\ -1 <= I290 - 1 /\ I279 <= I290 - 1 /\ -1 <= I281 - 1 /\ -1 <= I291 - 1 /\ I280 <= I291 - 1 /\ 1 <= I279 - 1 /\ I278 - 1 <= I278 - 1 /\ 0 <= I278 - 1]
74.43/73.63	  f9(I292, I293, I294, I295, I296, I297) -> f5(I292 - 1, I298, I299, I300, I301, I302) [I303 <= -1 /\ I295 <= 8 /\ -1 <= I304 - 1 /\ I293 <= I304 - 1 /\ -1 <= I295 - 1 /\ -1 <= I305 - 1 /\ I294 <= I305 - 1 /\ 1 <= I293 - 1 /\ I292 - 1 <= I292 - 1 /\ 0 <= I292 - 1]
74.43/73.63	  f10(I306, I307, I308, I309, I310, I311) -> f10(I306, I307, I308, I309 + 1, I312, I313) [I309 <= 8]
74.43/73.63	  f9(I314, I315, I316, I317, I318, I319) -> f9(I314, I315, I316, I317 + 1, I320, I321) [I317 <= 8]
74.43/73.63	  f8(I322, I323, I324, I325, I326, I327) -> f10(I322, I323, I324, 0, I328, I329) [-1 <= I330 - 1 /\ I324 <= 8 /\ I323 <= I330 - 1 /\ -1 <= I331 - 1 /\ I324 <= I331 - 1 /\ 0 <= I322 - 1]
74.43/73.63	  f7(I332, I333, I334, I335, I336, I337) -> f9(I332, I334, I333, 0, I338, I339) [8 <= I334 - 1 /\ 0 <= I332 - 1]
74.43/73.63	  f8(I340, I341, I342, I343, I344, I345) -> f8(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.63	  f8(I352, I353, I354, I355, I356, I357) -> f8(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.63	  f8(I364, I365, I366, I367, I368, I369) -> f7(I364, I366, I365 + 1, I370, I371, I372) [8 <= I366 - 1]
74.43/73.63	  f7(I373, I374, I375, I376, I377, I378) -> f8(I373, I375, 0, I379, I380, I381) [I375 <= 8]
74.43/73.63	  f5(I382, I383, I384, I385, I386, I387) -> f7(I382, 0, 0, I388, I389, I390) [0 <= I382 - 1]
74.43/73.63	  f6(I391, I392, I393, I394, I395, I396) -> f6(I397, I392 + 1, I393, I394 + 1, I395, I398) [I393 <= 8 /\ I394 <= 8 /\ I394 <= I399 - 1 /\ -1 <= I399 - 1 /\ I397 <= I391 /\ 0 <= I391 - 1 /\ 0 <= I397 - 1]
74.43/73.63	  f6(I400, I401, I402, I403, I404, I405) -> f6(I406, I401, I402, I403 + 1, I404, I407) [I402 <= 8 /\ I403 <= 8 /\ -1 <= I408 - 1 /\ 0 <= I409 - 1 /\ I403 <= I408 - 1 /\ I406 <= I400 /\ 0 <= I400 - 1 /\ 0 <= I406 - 1]
74.43/73.63	  f6(I410, I411, I412, I413, I414, I415) -> f6(I416, I411, I412, I413 + 1, I414, I417) [I412 <= 8 /\ I413 <= 8 /\ -1 <= I418 - 1 /\ I419 <= -1 /\ I413 <= I418 - 1 /\ I416 <= I410 /\ 0 <= I410 - 1 /\ 0 <= I416 - 1]
74.43/73.63	  f6(I420, I421, I422, I423, I424, I425) -> f4(I426, I421, I422 + 1, I422 + 1, I424, I427) [0 <= I426 - 1 /\ 0 <= I420 - 1 /\ 8 <= I423 - 1 /\ I426 <= I420]
74.43/73.63	  f4(I428, I429, I430, I431, I432, I433) -> f6(I434, I429, I430, 0, I432, I435) [I430 = I431 /\ 0 <= I434 - 1 /\ 0 <= I428 - 1 /\ I430 <= 8 /\ I434 <= I428]
74.43/73.63	  f4(I436, I437, I438, I439, I440, I441) -> f5(I437, I442, I443, I444, I445, I446) [I438 = I439 /\ 0 <= I436 - 1 /\ 1 <= I440 - 1 /\ 8 <= I438 - 1]
74.43/73.63	  f2(I447, I448, I449, I450, I451, I452) -> f4(I453, 0, 0, 0, I449, I454) [0 <= I453 - 1 /\ 0 <= I447 - 1 /\ 8 <= I448 - 1 /\ I453 <= I447]
74.43/73.63	  f3(I455, I456, I457, I458, I459, I460) -> f3(I461, I456, I457 + 1, I458, I462, I463) [I456 <= 8 /\ I457 <= 8 /\ -1 <= I464 - 1 /\ I457 <= I464 - 1 /\ I457 <= I465 - 1 /\ -1 <= I465 - 1 /\ I461 <= I455 /\ 0 <= I455 - 1 /\ 0 <= I461 - 1]
74.43/73.63	  f3(I466, I467, I468, I469, I470, I471) -> f2(I472, I467 + 1, I469, I473, I474, I475) [0 <= I472 - 1 /\ 0 <= I466 - 1 /\ 8 <= I468 - 1 /\ I472 <= I466]
74.43/73.63	  f2(I476, I477, I478, I479, I480, I481) -> f3(I482, I477, 0, I478, I483, I484) [0 <= I482 - 1 /\ 0 <= I476 - 1 /\ I477 <= 8 /\ I482 <= I476]
74.43/73.63	  f1(I485, I486, I487, I488, I489, I490) -> f2(I491, 0, I486, I492, I493, I494) [0 <= I491 - 1 /\ 0 <= I485 - 1 /\ 1 <= I486 - 1 /\ I491 <= I485]
74.43/73.63	
74.43/73.63	We use the reverse value criterion with the projection function NU:
74.43/73.63	  NU[f2#(z1,z2,z3,z4,z5,z6)] = 8 + -1 * z2
74.43/73.63	  NU[f3#(z1,z2,z3,z4,z5,z6)] = 8 + -1 * (z2 + 1)
74.43/73.63	
74.43/73.63	This gives the following inequalities:
74.43/73.63	  I456 <= 8 /\ I457 <= 8 /\ -1 <= I464 - 1 /\ I457 <= I464 - 1 /\ I457 <= I465 - 1 /\ -1 <= I465 - 1 /\ I461 <= I455 /\ 0 <= I455 - 1 /\ 0 <= I461 - 1  ==>  8 + -1 * (I456 + 1) >= 8 + -1 * (I456 + 1)
74.43/73.63	  0 <= I472 - 1 /\ 0 <= I466 - 1 /\ 8 <= I468 - 1 /\ I472 <= I466  ==>  8 + -1 * (I467 + 1) >= 8 + -1 * (I467 + 1)
74.43/73.63	  0 <= I482 - 1 /\ 0 <= I476 - 1 /\ I477 <= 8 /\ I482 <= I476  ==>  8 + -1 * I477 > 8 + -1 * (I477 + 1)  with  8 + -1 * I477 >= 0
74.43/73.63	
74.43/73.63	We remove all the strictly oriented dependency pairs.
74.43/73.63	
74.43/73.63	DP problem for innermost termination.
74.43/73.63	P =
74.43/73.63	  f3#(I455, I456, I457, I458, I459, I460) -> f3#(I461, I456, I457 + 1, I458, I462, I463) [I456 <= 8 /\ I457 <= 8 /\ -1 <= I464 - 1 /\ I457 <= I464 - 1 /\ I457 <= I465 - 1 /\ -1 <= I465 - 1 /\ I461 <= I455 /\ 0 <= I455 - 1 /\ 0 <= I461 - 1]
74.43/73.63	  f3#(I466, I467, I468, I469, I470, I471) -> f2#(I472, I467 + 1, I469, I473, I474, I475) [0 <= I472 - 1 /\ 0 <= I466 - 1 /\ 8 <= I468 - 1 /\ I472 <= I466]
74.43/73.63	R = 
74.43/73.63	  init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
74.43/73.63	  f16(I0, I1, I2, I3, I4, I5) -> f16(I0, I1, I2, I3 + 1, I3 + 1, I5) [-1 <= y1 - 1 /\ I3 <= I5 - 1 /\ I2 <= y1 - 1 /\ -1 <= y2 - 1 /\ I3 <= y2 - 1 /\ 0 <= y3 - 1 /\ -1 <= y4 - 1 /\ I2 <= y4 - 1 /\ -1 <= y5 - 1 /\ I3 <= y5 - 1 /\ y6 <= 9 /\ I3 = I4]
74.43/73.63	  f16(I6, I7, I8, I9, I10, I11) -> f16(I6, I7, I8, I9 + 1, I9 + 1, I11) [-1 <= I12 - 1 /\ I9 <= I11 - 1 /\ I8 <= I12 - 1 /\ -1 <= I13 - 1 /\ I9 <= I13 - 1 /\ I14 <= -1 /\ -1 <= I15 - 1 /\ I8 <= I15 - 1 /\ -1 <= I16 - 1 /\ I9 <= I16 - 1 /\ I17 <= 9 /\ I9 = I10]
74.43/73.64	  f16(I18, I19, I20, I21, I22, I23) -> f16(I18, I19, I20, I21 + 1, I21 + 1, I23) [-1 <= I24 - 1 /\ I21 <= I23 - 1 /\ I20 <= I24 - 1 /\ -1 <= I25 - 1 /\ I21 <= I25 - 1 /\ I21 = I22]
74.43/73.64	  f16(I26, I27, I28, I29, I30, I31) -> f15(I26, I31, I28 + 1, I27, I32, I33) [I29 = I30 /\ I31 <= I29]
74.43/73.64	  f15(I34, I35, I36, I37, I38, I39) -> f16(I34, I37, I36, I34, I34, I35) [I36 <= I37 - 1]
74.43/73.64	  f13(I40, I41, I42, I43, I44, I45) -> f13(I40, I41, I42 + 1, I46, I47, I48) [-1 <= I49 - 1 /\ I42 <= 8 /\ I42 <= I49 - 1 /\ -1 <= I50 - 1 /\ I41 <= I50 - 1 /\ 0 <= I51 - 1 /\ -1 <= I52 - 1 /\ I42 <= I52 - 1 /\ -1 <= I53 - 1 /\ I41 <= I53 - 1 /\ I54 <= 9]
74.43/73.64	  f13(I55, I56, I57, I58, I59, I60) -> f13(I55, I56, I57 + 1, I61, I62, I63) [-1 <= I64 - 1 /\ I57 <= 8 /\ I57 <= I64 - 1 /\ -1 <= I65 - 1 /\ I56 <= I65 - 1 /\ I66 <= -1 /\ -1 <= I67 - 1 /\ I57 <= I67 - 1 /\ -1 <= I68 - 1 /\ I56 <= I68 - 1 /\ I69 <= 9]
74.43/73.64	  f13(I70, I71, I72, I73, I74, I75) -> f13(I70, I71, I72 + 1, I76, I77, I78) [-1 <= I79 - 1 /\ I72 <= 8 /\ I72 <= I79 - 1 /\ -1 <= I80 - 1 /\ I71 <= I80 - 1]
74.43/73.64	  f14(I81, I82, I83, I84, I85, I86) -> f15(I87, I88, I89, I90, I91, I92) [0 <= I81 - 3 * I93 /\ 8 <= I83 - 1 /\ -1 <= I81 - 1 /\ -1 <= I82 - 1 /\ 0 <= I82 - 3 * I94 /\ I81 - 3 * I93 <= 2 /\ I82 - 3 * I94 <= 2 /\ 0 <= I82 - 3 * I95 /\ I82 - 3 * I95 <= 2 /\ 0 <= I82 - 3 * I96 /\ I82 - 3 * I96 <= 2 /\ 0 <= I81 - 3 * I97 /\ I81 - 3 * I97 <= 2 /\ I81 - 3 * I98 <= 2 /\ 0 <= I81 - 3 * I98 /\ I82 - (I82 - 3 * I95) = I87 /\ I82 - (I82 - 3 * I96) + 3 = I88 /\ I81 - (I81 - 3 * I97) = I89 /\ I81 - (I81 - 3 * I98) + 3 = I90]
74.43/73.64	  f13(I99, I100, I101, I102, I103, I104) -> f14(I99, I100, I101, I105, I106, I107) [0 <= I99 - 3 * I108 /\ 8 <= I101 - 1 /\ -1 <= I99 - 1 /\ 0 <= I100 - 3 * I109 /\ -1 <= I100 - 1]
74.43/73.64	  f12(I110, I111, I112, I113, I114, I115) -> f13(I110, I111, 0, I116, I117, I118) [8 <= I112 - 1]
74.43/73.64	  f12(I119, I120, I121, I122, I123, I124) -> f12(I119, I120, I121 + 1, I125, I126, I127) [-1 <= I128 - 1 /\ I121 <= 8 /\ I119 <= I128 - 1 /\ -1 <= I129 - 1 /\ I121 <= I129 - 1 /\ 0 <= I130 - 1 /\ -1 <= I131 - 1 /\ I119 <= I131 - 1 /\ -1 <= I132 - 1 /\ I121 <= I132 - 1 /\ I133 <= 9]
74.43/73.64	  f12(I134, I135, I136, I137, I138, I139) -> f12(I134, I135, I136 + 1, I140, I141, I142) [-1 <= I143 - 1 /\ I136 <= 8 /\ I134 <= I143 - 1 /\ -1 <= I144 - 1 /\ I136 <= I144 - 1 /\ I145 <= -1 /\ -1 <= I146 - 1 /\ I134 <= I146 - 1 /\ -1 <= I147 - 1 /\ I136 <= I147 - 1 /\ I148 <= 9]
74.43/73.64	  f12(I149, I150, I151, I152, I153, I154) -> f12(I149, I150, I151 + 1, I155, I156, I157) [-1 <= I158 - 1 /\ I151 <= 8 /\ I149 <= I158 - 1 /\ -1 <= I159 - 1 /\ I151 <= I159 - 1]
74.43/73.64	  f11(I160, I161, I162, I163, I164, I165) -> f12(I160, I161, 0, I166, I167, I168) [8 <= I162 - 1]
74.43/73.64	  f11(I169, I170, I171, I172, I173, I174) -> f11(I169, I170, I171 + 1, I175, I176, I177) [I171 <= 8]
74.43/73.64	  f8(I178, I179, I180, I181, I182, I183) -> f11(I179, I180, 0, I184, I185, I186) [-1 <= I187 - 1 /\ I180 <= 8 /\ I179 <= I187 - 1 /\ -1 <= I188 - 1 /\ I180 <= I188 - 1 /\ 0 <= I178 - 1]
74.43/73.64	  f7(I189, I190, I191, I192, I193, I194) -> f11(I191, I190, 0, I195, I196, I197) [8 <= I191 - 1 /\ 0 <= I189 - 1]
74.43/73.64	  f10(I198, I199, I200, I201, I202, I203) -> f10(I198, I199, I200, I201 + 1, I204, I205) [0 <= I206 - 1 /\ I201 <= 8 /\ -1 <= I207 - 1 /\ I199 <= I207 - 1 /\ -1 <= I201 - 1 /\ -1 <= I208 - 1 /\ I200 <= I208 - 1 /\ 0 <= I198 - 1 /\ I198 - 1 <= I198 - 1 /\ -1 <= I209 - 1 /\ I199 <= I209 - 1 /\ -1 <= I210 - 1 /\ I200 <= I210 - 1]
74.43/73.64	  f10(I211, I212, I213, I214, I215, I216) -> f10(I211, I212, I213, I214 + 1, I217, I218) [I219 <= -1 /\ I214 <= 8 /\ -1 <= I220 - 1 /\ I212 <= I220 - 1 /\ -1 <= I214 - 1 /\ -1 <= I221 - 1 /\ I213 <= I221 - 1 /\ 0 <= I211 - 1 /\ I211 - 1 <= I211 - 1 /\ -1 <= I222 - 1 /\ I212 <= I222 - 1 /\ -1 <= I223 - 1 /\ I213 <= I223 - 1]
74.43/73.64	  f9(I224, I225, I226, I227, I228, I229) -> f9(I224, I225, I226, I227 + 1, I230, I231) [0 <= I232 - 1 /\ I227 <= 8 /\ -1 <= I233 - 1 /\ I225 <= I233 - 1 /\ -1 <= I227 - 1 /\ -1 <= I234 - 1 /\ I226 <= I234 - 1 /\ 1 <= I225 - 1 /\ 0 <= I224 - 1 /\ I224 - 1 <= I224 - 1 /\ -1 <= I235 - 1 /\ I225 <= I235 - 1 /\ -1 <= I236 - 1 /\ I226 <= I236 - 1]
74.43/73.64	  f9(I237, I238, I239, I240, I241, I242) -> f9(I237, I238, I239, I240 + 1, I243, I244) [I245 <= -1 /\ I240 <= 8 /\ -1 <= I246 - 1 /\ I238 <= I246 - 1 /\ -1 <= I240 - 1 /\ -1 <= I247 - 1 /\ I239 <= I247 - 1 /\ 1 <= I238 - 1 /\ 0 <= I237 - 1 /\ I237 - 1 <= I237 - 1 /\ -1 <= I248 - 1 /\ I238 <= I248 - 1 /\ -1 <= I249 - 1 /\ I239 <= I249 - 1]
74.43/73.64	  f10(I250, I251, I252, I253, I254, I255) -> f5(I250 - 1, I256, I257, I258, I259, I260) [0 <= I261 - 1 /\ I253 <= 8 /\ -1 <= I262 - 1 /\ I251 <= I262 - 1 /\ -1 <= I253 - 1 /\ -1 <= I263 - 1 /\ I252 <= I263 - 1 /\ I250 - 1 <= I250 - 1 /\ 0 <= I250 - 1]
74.43/73.64	  f10(I264, I265, I266, I267, I268, I269) -> f5(I264 - 1, I270, I271, I272, I273, I274) [I275 <= -1 /\ I267 <= 8 /\ -1 <= I276 - 1 /\ I265 <= I276 - 1 /\ -1 <= I267 - 1 /\ -1 <= I277 - 1 /\ I266 <= I277 - 1 /\ I264 - 1 <= I264 - 1 /\ 0 <= I264 - 1]
74.43/73.64	  f9(I278, I279, I280, I281, I282, I283) -> f5(I278 - 1, I284, I285, I286, I287, I288) [0 <= I289 - 1 /\ I281 <= 8 /\ -1 <= I290 - 1 /\ I279 <= I290 - 1 /\ -1 <= I281 - 1 /\ -1 <= I291 - 1 /\ I280 <= I291 - 1 /\ 1 <= I279 - 1 /\ I278 - 1 <= I278 - 1 /\ 0 <= I278 - 1]
74.43/73.64	  f9(I292, I293, I294, I295, I296, I297) -> f5(I292 - 1, I298, I299, I300, I301, I302) [I303 <= -1 /\ I295 <= 8 /\ -1 <= I304 - 1 /\ I293 <= I304 - 1 /\ -1 <= I295 - 1 /\ -1 <= I305 - 1 /\ I294 <= I305 - 1 /\ 1 <= I293 - 1 /\ I292 - 1 <= I292 - 1 /\ 0 <= I292 - 1]
74.43/73.64	  f10(I306, I307, I308, I309, I310, I311) -> f10(I306, I307, I308, I309 + 1, I312, I313) [I309 <= 8]
74.43/73.64	  f9(I314, I315, I316, I317, I318, I319) -> f9(I314, I315, I316, I317 + 1, I320, I321) [I317 <= 8]
74.43/73.64	  f8(I322, I323, I324, I325, I326, I327) -> f10(I322, I323, I324, 0, I328, I329) [-1 <= I330 - 1 /\ I324 <= 8 /\ I323 <= I330 - 1 /\ -1 <= I331 - 1 /\ I324 <= I331 - 1 /\ 0 <= I322 - 1]
74.43/73.64	  f7(I332, I333, I334, I335, I336, I337) -> f9(I332, I334, I333, 0, I338, I339) [8 <= I334 - 1 /\ 0 <= I332 - 1]
74.43/73.64	  f8(I340, I341, I342, I343, I344, I345) -> f8(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.64	  f8(I352, I353, I354, I355, I356, I357) -> f8(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.64	  f8(I364, I365, I366, I367, I368, I369) -> f7(I364, I366, I365 + 1, I370, I371, I372) [8 <= I366 - 1]
74.43/73.64	  f7(I373, I374, I375, I376, I377, I378) -> f8(I373, I375, 0, I379, I380, I381) [I375 <= 8]
74.43/73.64	  f5(I382, I383, I384, I385, I386, I387) -> f7(I382, 0, 0, I388, I389, I390) [0 <= I382 - 1]
74.43/73.64	  f6(I391, I392, I393, I394, I395, I396) -> f6(I397, I392 + 1, I393, I394 + 1, I395, I398) [I393 <= 8 /\ I394 <= 8 /\ I394 <= I399 - 1 /\ -1 <= I399 - 1 /\ I397 <= I391 /\ 0 <= I391 - 1 /\ 0 <= I397 - 1]
74.43/73.64	  f6(I400, I401, I402, I403, I404, I405) -> f6(I406, I401, I402, I403 + 1, I404, I407) [I402 <= 8 /\ I403 <= 8 /\ -1 <= I408 - 1 /\ 0 <= I409 - 1 /\ I403 <= I408 - 1 /\ I406 <= I400 /\ 0 <= I400 - 1 /\ 0 <= I406 - 1]
74.43/73.64	  f6(I410, I411, I412, I413, I414, I415) -> f6(I416, I411, I412, I413 + 1, I414, I417) [I412 <= 8 /\ I413 <= 8 /\ -1 <= I418 - 1 /\ I419 <= -1 /\ I413 <= I418 - 1 /\ I416 <= I410 /\ 0 <= I410 - 1 /\ 0 <= I416 - 1]
74.43/73.64	  f6(I420, I421, I422, I423, I424, I425) -> f4(I426, I421, I422 + 1, I422 + 1, I424, I427) [0 <= I426 - 1 /\ 0 <= I420 - 1 /\ 8 <= I423 - 1 /\ I426 <= I420]
74.43/73.64	  f4(I428, I429, I430, I431, I432, I433) -> f6(I434, I429, I430, 0, I432, I435) [I430 = I431 /\ 0 <= I434 - 1 /\ 0 <= I428 - 1 /\ I430 <= 8 /\ I434 <= I428]
74.43/73.64	  f4(I436, I437, I438, I439, I440, I441) -> f5(I437, I442, I443, I444, I445, I446) [I438 = I439 /\ 0 <= I436 - 1 /\ 1 <= I440 - 1 /\ 8 <= I438 - 1]
74.43/73.64	  f2(I447, I448, I449, I450, I451, I452) -> f4(I453, 0, 0, 0, I449, I454) [0 <= I453 - 1 /\ 0 <= I447 - 1 /\ 8 <= I448 - 1 /\ I453 <= I447]
74.43/73.64	  f3(I455, I456, I457, I458, I459, I460) -> f3(I461, I456, I457 + 1, I458, I462, I463) [I456 <= 8 /\ I457 <= 8 /\ -1 <= I464 - 1 /\ I457 <= I464 - 1 /\ I457 <= I465 - 1 /\ -1 <= I465 - 1 /\ I461 <= I455 /\ 0 <= I455 - 1 /\ 0 <= I461 - 1]
74.43/73.64	  f3(I466, I467, I468, I469, I470, I471) -> f2(I472, I467 + 1, I469, I473, I474, I475) [0 <= I472 - 1 /\ 0 <= I466 - 1 /\ 8 <= I468 - 1 /\ I472 <= I466]
74.43/73.64	  f2(I476, I477, I478, I479, I480, I481) -> f3(I482, I477, 0, I478, I483, I484) [0 <= I482 - 1 /\ 0 <= I476 - 1 /\ I477 <= 8 /\ I482 <= I476]
74.43/73.64	  f1(I485, I486, I487, I488, I489, I490) -> f2(I491, 0, I486, I492, I493, I494) [0 <= I491 - 1 /\ 0 <= I485 - 1 /\ 1 <= I486 - 1 /\ I491 <= I485]
74.43/73.64	
74.43/73.64	The dependency graph for this problem is:
74.43/73.64	  43 -> 43, 44
74.43/73.64	  44 -> 
74.43/73.64	Where:
74.43/73.64	  43) f3#(I455, I456, I457, I458, I459, I460) -> f3#(I461, I456, I457 + 1, I458, I462, I463) [I456 <= 8 /\ I457 <= 8 /\ -1 <= I464 - 1 /\ I457 <= I464 - 1 /\ I457 <= I465 - 1 /\ -1 <= I465 - 1 /\ I461 <= I455 /\ 0 <= I455 - 1 /\ 0 <= I461 - 1]
74.43/73.64	  44) f3#(I466, I467, I468, I469, I470, I471) -> f2#(I472, I467 + 1, I469, I473, I474, I475) [0 <= I472 - 1 /\ 0 <= I466 - 1 /\ 8 <= I468 - 1 /\ I472 <= I466]
74.43/73.64	
74.43/73.64	We have the following SCCs.
74.43/73.64	  { 43 }
74.43/73.64	
74.43/73.64	DP problem for innermost termination.
74.43/73.64	P =
74.43/73.64	  f3#(I455, I456, I457, I458, I459, I460) -> f3#(I461, I456, I457 + 1, I458, I462, I463) [I456 <= 8 /\ I457 <= 8 /\ -1 <= I464 - 1 /\ I457 <= I464 - 1 /\ I457 <= I465 - 1 /\ -1 <= I465 - 1 /\ I461 <= I455 /\ 0 <= I455 - 1 /\ 0 <= I461 - 1]
74.43/73.64	R = 
74.43/73.64	  init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
74.43/73.64	  f16(I0, I1, I2, I3, I4, I5) -> f16(I0, I1, I2, I3 + 1, I3 + 1, I5) [-1 <= y1 - 1 /\ I3 <= I5 - 1 /\ I2 <= y1 - 1 /\ -1 <= y2 - 1 /\ I3 <= y2 - 1 /\ 0 <= y3 - 1 /\ -1 <= y4 - 1 /\ I2 <= y4 - 1 /\ -1 <= y5 - 1 /\ I3 <= y5 - 1 /\ y6 <= 9 /\ I3 = I4]
74.43/73.64	  f16(I6, I7, I8, I9, I10, I11) -> f16(I6, I7, I8, I9 + 1, I9 + 1, I11) [-1 <= I12 - 1 /\ I9 <= I11 - 1 /\ I8 <= I12 - 1 /\ -1 <= I13 - 1 /\ I9 <= I13 - 1 /\ I14 <= -1 /\ -1 <= I15 - 1 /\ I8 <= I15 - 1 /\ -1 <= I16 - 1 /\ I9 <= I16 - 1 /\ I17 <= 9 /\ I9 = I10]
74.43/73.64	  f16(I18, I19, I20, I21, I22, I23) -> f16(I18, I19, I20, I21 + 1, I21 + 1, I23) [-1 <= I24 - 1 /\ I21 <= I23 - 1 /\ I20 <= I24 - 1 /\ -1 <= I25 - 1 /\ I21 <= I25 - 1 /\ I21 = I22]
74.43/73.64	  f16(I26, I27, I28, I29, I30, I31) -> f15(I26, I31, I28 + 1, I27, I32, I33) [I29 = I30 /\ I31 <= I29]
74.43/73.64	  f15(I34, I35, I36, I37, I38, I39) -> f16(I34, I37, I36, I34, I34, I35) [I36 <= I37 - 1]
74.43/73.64	  f13(I40, I41, I42, I43, I44, I45) -> f13(I40, I41, I42 + 1, I46, I47, I48) [-1 <= I49 - 1 /\ I42 <= 8 /\ I42 <= I49 - 1 /\ -1 <= I50 - 1 /\ I41 <= I50 - 1 /\ 0 <= I51 - 1 /\ -1 <= I52 - 1 /\ I42 <= I52 - 1 /\ -1 <= I53 - 1 /\ I41 <= I53 - 1 /\ I54 <= 9]
74.43/73.64	  f13(I55, I56, I57, I58, I59, I60) -> f13(I55, I56, I57 + 1, I61, I62, I63) [-1 <= I64 - 1 /\ I57 <= 8 /\ I57 <= I64 - 1 /\ -1 <= I65 - 1 /\ I56 <= I65 - 1 /\ I66 <= -1 /\ -1 <= I67 - 1 /\ I57 <= I67 - 1 /\ -1 <= I68 - 1 /\ I56 <= I68 - 1 /\ I69 <= 9]
74.43/73.64	  f13(I70, I71, I72, I73, I74, I75) -> f13(I70, I71, I72 + 1, I76, I77, I78) [-1 <= I79 - 1 /\ I72 <= 8 /\ I72 <= I79 - 1 /\ -1 <= I80 - 1 /\ I71 <= I80 - 1]
74.43/73.64	  f14(I81, I82, I83, I84, I85, I86) -> f15(I87, I88, I89, I90, I91, I92) [0 <= I81 - 3 * I93 /\ 8 <= I83 - 1 /\ -1 <= I81 - 1 /\ -1 <= I82 - 1 /\ 0 <= I82 - 3 * I94 /\ I81 - 3 * I93 <= 2 /\ I82 - 3 * I94 <= 2 /\ 0 <= I82 - 3 * I95 /\ I82 - 3 * I95 <= 2 /\ 0 <= I82 - 3 * I96 /\ I82 - 3 * I96 <= 2 /\ 0 <= I81 - 3 * I97 /\ I81 - 3 * I97 <= 2 /\ I81 - 3 * I98 <= 2 /\ 0 <= I81 - 3 * I98 /\ I82 - (I82 - 3 * I95) = I87 /\ I82 - (I82 - 3 * I96) + 3 = I88 /\ I81 - (I81 - 3 * I97) = I89 /\ I81 - (I81 - 3 * I98) + 3 = I90]
74.43/73.64	  f13(I99, I100, I101, I102, I103, I104) -> f14(I99, I100, I101, I105, I106, I107) [0 <= I99 - 3 * I108 /\ 8 <= I101 - 1 /\ -1 <= I99 - 1 /\ 0 <= I100 - 3 * I109 /\ -1 <= I100 - 1]
74.43/73.64	  f12(I110, I111, I112, I113, I114, I115) -> f13(I110, I111, 0, I116, I117, I118) [8 <= I112 - 1]
74.43/73.64	  f12(I119, I120, I121, I122, I123, I124) -> f12(I119, I120, I121 + 1, I125, I126, I127) [-1 <= I128 - 1 /\ I121 <= 8 /\ I119 <= I128 - 1 /\ -1 <= I129 - 1 /\ I121 <= I129 - 1 /\ 0 <= I130 - 1 /\ -1 <= I131 - 1 /\ I119 <= I131 - 1 /\ -1 <= I132 - 1 /\ I121 <= I132 - 1 /\ I133 <= 9]
74.43/73.64	  f12(I134, I135, I136, I137, I138, I139) -> f12(I134, I135, I136 + 1, I140, I141, I142) [-1 <= I143 - 1 /\ I136 <= 8 /\ I134 <= I143 - 1 /\ -1 <= I144 - 1 /\ I136 <= I144 - 1 /\ I145 <= -1 /\ -1 <= I146 - 1 /\ I134 <= I146 - 1 /\ -1 <= I147 - 1 /\ I136 <= I147 - 1 /\ I148 <= 9]
74.43/73.64	  f12(I149, I150, I151, I152, I153, I154) -> f12(I149, I150, I151 + 1, I155, I156, I157) [-1 <= I158 - 1 /\ I151 <= 8 /\ I149 <= I158 - 1 /\ -1 <= I159 - 1 /\ I151 <= I159 - 1]
74.43/73.64	  f11(I160, I161, I162, I163, I164, I165) -> f12(I160, I161, 0, I166, I167, I168) [8 <= I162 - 1]
74.43/73.64	  f11(I169, I170, I171, I172, I173, I174) -> f11(I169, I170, I171 + 1, I175, I176, I177) [I171 <= 8]
74.43/73.64	  f8(I178, I179, I180, I181, I182, I183) -> f11(I179, I180, 0, I184, I185, I186) [-1 <= I187 - 1 /\ I180 <= 8 /\ I179 <= I187 - 1 /\ -1 <= I188 - 1 /\ I180 <= I188 - 1 /\ 0 <= I178 - 1]
74.43/73.64	  f7(I189, I190, I191, I192, I193, I194) -> f11(I191, I190, 0, I195, I196, I197) [8 <= I191 - 1 /\ 0 <= I189 - 1]
74.43/73.64	  f10(I198, I199, I200, I201, I202, I203) -> f10(I198, I199, I200, I201 + 1, I204, I205) [0 <= I206 - 1 /\ I201 <= 8 /\ -1 <= I207 - 1 /\ I199 <= I207 - 1 /\ -1 <= I201 - 1 /\ -1 <= I208 - 1 /\ I200 <= I208 - 1 /\ 0 <= I198 - 1 /\ I198 - 1 <= I198 - 1 /\ -1 <= I209 - 1 /\ I199 <= I209 - 1 /\ -1 <= I210 - 1 /\ I200 <= I210 - 1]
74.43/73.64	  f10(I211, I212, I213, I214, I215, I216) -> f10(I211, I212, I213, I214 + 1, I217, I218) [I219 <= -1 /\ I214 <= 8 /\ -1 <= I220 - 1 /\ I212 <= I220 - 1 /\ -1 <= I214 - 1 /\ -1 <= I221 - 1 /\ I213 <= I221 - 1 /\ 0 <= I211 - 1 /\ I211 - 1 <= I211 - 1 /\ -1 <= I222 - 1 /\ I212 <= I222 - 1 /\ -1 <= I223 - 1 /\ I213 <= I223 - 1]
74.43/73.64	  f9(I224, I225, I226, I227, I228, I229) -> f9(I224, I225, I226, I227 + 1, I230, I231) [0 <= I232 - 1 /\ I227 <= 8 /\ -1 <= I233 - 1 /\ I225 <= I233 - 1 /\ -1 <= I227 - 1 /\ -1 <= I234 - 1 /\ I226 <= I234 - 1 /\ 1 <= I225 - 1 /\ 0 <= I224 - 1 /\ I224 - 1 <= I224 - 1 /\ -1 <= I235 - 1 /\ I225 <= I235 - 1 /\ -1 <= I236 - 1 /\ I226 <= I236 - 1]
74.43/73.64	  f9(I237, I238, I239, I240, I241, I242) -> f9(I237, I238, I239, I240 + 1, I243, I244) [I245 <= -1 /\ I240 <= 8 /\ -1 <= I246 - 1 /\ I238 <= I246 - 1 /\ -1 <= I240 - 1 /\ -1 <= I247 - 1 /\ I239 <= I247 - 1 /\ 1 <= I238 - 1 /\ 0 <= I237 - 1 /\ I237 - 1 <= I237 - 1 /\ -1 <= I248 - 1 /\ I238 <= I248 - 1 /\ -1 <= I249 - 1 /\ I239 <= I249 - 1]
74.43/73.64	  f10(I250, I251, I252, I253, I254, I255) -> f5(I250 - 1, I256, I257, I258, I259, I260) [0 <= I261 - 1 /\ I253 <= 8 /\ -1 <= I262 - 1 /\ I251 <= I262 - 1 /\ -1 <= I253 - 1 /\ -1 <= I263 - 1 /\ I252 <= I263 - 1 /\ I250 - 1 <= I250 - 1 /\ 0 <= I250 - 1]
74.43/73.64	  f10(I264, I265, I266, I267, I268, I269) -> f5(I264 - 1, I270, I271, I272, I273, I274) [I275 <= -1 /\ I267 <= 8 /\ -1 <= I276 - 1 /\ I265 <= I276 - 1 /\ -1 <= I267 - 1 /\ -1 <= I277 - 1 /\ I266 <= I277 - 1 /\ I264 - 1 <= I264 - 1 /\ 0 <= I264 - 1]
74.43/73.64	  f9(I278, I279, I280, I281, I282, I283) -> f5(I278 - 1, I284, I285, I286, I287, I288) [0 <= I289 - 1 /\ I281 <= 8 /\ -1 <= I290 - 1 /\ I279 <= I290 - 1 /\ -1 <= I281 - 1 /\ -1 <= I291 - 1 /\ I280 <= I291 - 1 /\ 1 <= I279 - 1 /\ I278 - 1 <= I278 - 1 /\ 0 <= I278 - 1]
74.43/73.64	  f9(I292, I293, I294, I295, I296, I297) -> f5(I292 - 1, I298, I299, I300, I301, I302) [I303 <= -1 /\ I295 <= 8 /\ -1 <= I304 - 1 /\ I293 <= I304 - 1 /\ -1 <= I295 - 1 /\ -1 <= I305 - 1 /\ I294 <= I305 - 1 /\ 1 <= I293 - 1 /\ I292 - 1 <= I292 - 1 /\ 0 <= I292 - 1]
74.43/73.64	  f10(I306, I307, I308, I309, I310, I311) -> f10(I306, I307, I308, I309 + 1, I312, I313) [I309 <= 8]
74.43/73.64	  f9(I314, I315, I316, I317, I318, I319) -> f9(I314, I315, I316, I317 + 1, I320, I321) [I317 <= 8]
74.43/73.64	  f8(I322, I323, I324, I325, I326, I327) -> f10(I322, I323, I324, 0, I328, I329) [-1 <= I330 - 1 /\ I324 <= 8 /\ I323 <= I330 - 1 /\ -1 <= I331 - 1 /\ I324 <= I331 - 1 /\ 0 <= I322 - 1]
74.43/73.64	  f7(I332, I333, I334, I335, I336, I337) -> f9(I332, I334, I333, 0, I338, I339) [8 <= I334 - 1 /\ 0 <= I332 - 1]
74.43/73.64	  f8(I340, I341, I342, I343, I344, I345) -> f8(I340, I341, I342 + 1, I346, I347, I348) [-1 <= I349 - 1 /\ I342 <= 8 /\ I341 <= I349 - 1 /\ -1 <= I350 - 1 /\ I342 <= I350 - 1 /\ 0 <= I351 - 1]
74.43/73.64	  f8(I352, I353, I354, I355, I356, I357) -> f8(I352, I353, I354 + 1, I358, I359, I360) [-1 <= I361 - 1 /\ I354 <= 8 /\ I353 <= I361 - 1 /\ -1 <= I362 - 1 /\ I354 <= I362 - 1 /\ I363 <= -1]
74.43/73.64	  f8(I364, I365, I366, I367, I368, I369) -> f7(I364, I366, I365 + 1, I370, I371, I372) [8 <= I366 - 1]
74.43/73.64	  f7(I373, I374, I375, I376, I377, I378) -> f8(I373, I375, 0, I379, I380, I381) [I375 <= 8]
74.43/73.64	  f5(I382, I383, I384, I385, I386, I387) -> f7(I382, 0, 0, I388, I389, I390) [0 <= I382 - 1]
74.43/73.64	  f6(I391, I392, I393, I394, I395, I396) -> f6(I397, I392 + 1, I393, I394 + 1, I395, I398) [I393 <= 8 /\ I394 <= 8 /\ I394 <= I399 - 1 /\ -1 <= I399 - 1 /\ I397 <= I391 /\ 0 <= I391 - 1 /\ 0 <= I397 - 1]
74.43/73.64	  f6(I400, I401, I402, I403, I404, I405) -> f6(I406, I401, I402, I403 + 1, I404, I407) [I402 <= 8 /\ I403 <= 8 /\ -1 <= I408 - 1 /\ 0 <= I409 - 1 /\ I403 <= I408 - 1 /\ I406 <= I400 /\ 0 <= I400 - 1 /\ 0 <= I406 - 1]
74.43/73.64	  f6(I410, I411, I412, I413, I414, I415) -> f6(I416, I411, I412, I413 + 1, I414, I417) [I412 <= 8 /\ I413 <= 8 /\ -1 <= I418 - 1 /\ I419 <= -1 /\ I413 <= I418 - 1 /\ I416 <= I410 /\ 0 <= I410 - 1 /\ 0 <= I416 - 1]
74.43/73.64	  f6(I420, I421, I422, I423, I424, I425) -> f4(I426, I421, I422 + 1, I422 + 1, I424, I427) [0 <= I426 - 1 /\ 0 <= I420 - 1 /\ 8 <= I423 - 1 /\ I426 <= I420]
74.43/73.64	  f4(I428, I429, I430, I431, I432, I433) -> f6(I434, I429, I430, 0, I432, I435) [I430 = I431 /\ 0 <= I434 - 1 /\ 0 <= I428 - 1 /\ I430 <= 8 /\ I434 <= I428]
74.43/73.64	  f4(I436, I437, I438, I439, I440, I441) -> f5(I437, I442, I443, I444, I445, I446) [I438 = I439 /\ 0 <= I436 - 1 /\ 1 <= I440 - 1 /\ 8 <= I438 - 1]
74.43/73.64	  f2(I447, I448, I449, I450, I451, I452) -> f4(I453, 0, 0, 0, I449, I454) [0 <= I453 - 1 /\ 0 <= I447 - 1 /\ 8 <= I448 - 1 /\ I453 <= I447]
74.43/73.64	  f3(I455, I456, I457, I458, I459, I460) -> f3(I461, I456, I457 + 1, I458, I462, I463) [I456 <= 8 /\ I457 <= 8 /\ -1 <= I464 - 1 /\ I457 <= I464 - 1 /\ I457 <= I465 - 1 /\ -1 <= I465 - 1 /\ I461 <= I455 /\ 0 <= I455 - 1 /\ 0 <= I461 - 1]
74.43/73.64	  f3(I466, I467, I468, I469, I470, I471) -> f2(I472, I467 + 1, I469, I473, I474, I475) [0 <= I472 - 1 /\ 0 <= I466 - 1 /\ 8 <= I468 - 1 /\ I472 <= I466]
74.43/73.64	  f2(I476, I477, I478, I479, I480, I481) -> f3(I482, I477, 0, I478, I483, I484) [0 <= I482 - 1 /\ 0 <= I476 - 1 /\ I477 <= 8 /\ I482 <= I476]
74.43/73.64	  f1(I485, I486, I487, I488, I489, I490) -> f2(I491, 0, I486, I492, I493, I494) [0 <= I491 - 1 /\ 0 <= I485 - 1 /\ 1 <= I486 - 1 /\ I491 <= I485]
74.43/73.64	
74.43/73.64	We use the reverse value criterion with the projection function NU:
74.43/73.64	  NU[f3#(z1,z2,z3,z4,z5,z6)] = 8 + -1 * z3
74.43/73.64	
74.43/73.64	This gives the following inequalities:
74.43/73.64	  I456 <= 8 /\ I457 <= 8 /\ -1 <= I464 - 1 /\ I457 <= I464 - 1 /\ I457 <= I465 - 1 /\ -1 <= I465 - 1 /\ I461 <= I455 /\ 0 <= I455 - 1 /\ 0 <= I461 - 1  ==>  8 + -1 * I457 > 8 + -1 * (I457 + 1)  with  8 + -1 * I457 >= 0
74.43/73.64	
74.43/73.64	All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed.
74.43/76.61	EOF