6.34/6.33 MAYBE 6.34/6.33 6.34/6.33 DP problem for innermost termination. 6.34/6.33 P = 6.34/6.33 init#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f1#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9) 6.34/6.33 f17#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f8#(I9, I10, I11, I12, I13, I14, I15, I16, I17) [-1 <= I9 - 1 /\ -1 <= I0 - 1 /\ I9 <= I0] 6.34/6.33 f8#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f17#(I27, I28, I29, I30, I31, I32, I33, I34, I35) [1 <= I27 - 1 /\ 2 <= I18 - 1] 6.34/6.33 f8#(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f17#(I45, I46, I47, I48, I49, I50, I51, I52, I53) [-1 <= I45 - 1 /\ 2 <= I36 - 1] 6.34/6.33 f8#(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f17#(I63, I64, I65, I66, I67, I68, I69, I70, I71) [-1 <= I63 - 1 /\ 2 <= I54 - 1 /\ I63 + 3 <= I54] 6.34/6.33 f8#(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f8#(I81, I82, I83, I84, I85, I86, I87, I88, I89) [-1 <= I81 - 1 /\ 1 <= I72 - 1 /\ I81 + 2 <= I72] 6.34/6.33 f8#(I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f3#(I99, I100, I101, I102, I103, I104, I105, I106, I107) [2 <= I99 - 1 /\ 2 <= I90 - 1 /\ I99 <= I90] 6.34/6.33 f3#(I156, I157, I158, I159, I160, I161, I162, I163, I164) -> f3#(I165, I166, I167, I168, I169, I170, I171, I172, I173) [2 <= I165 - 1 /\ 2 <= I156 - 1 /\ I165 - 2 <= I156] 6.34/6.33 f3#(I174, I175, I176, I177, I178, I179, I180, I181, I182) -> f3#(I183, I184, I185, I186, I187, I188, I189, I190, I191) [-1 <= I183 - 1 /\ 1 <= I174 - 1 /\ I183 + 2 <= I174] 6.34/6.33 f15#(I192, I193, I194, I195, I196, I197, I198, I199, I200) -> f10#(I201, I202, I192 - 1, I195, I196, I203, I204, I205, I206) [I197 = I198 /\ I197 + 2 <= I194 /\ I197 + 2 <= I193 /\ 3 <= I202 - 1 /\ 3 <= I201 - 1 /\ 1 <= I194 - 1 /\ 1 <= I193 - 1 /\ I202 - 2 <= I194 /\ I202 - 2 <= I193 /\ I201 - 2 <= I194 /\ I201 - 2 <= I193] 6.34/6.33 f15#(I207, I208, I209, I210, I211, I212, I213, I214, I215) -> f10#(I216, I217, I207 - 1, I210, I211, I218, I219, I220, I221) [I213 + 2 <= I209 /\ I212 + 2 <= I208 /\ 0 <= I217 - 1 /\ 0 <= I216 - 1 /\ 1 <= I209 - 1 /\ 0 <= I208 - 1] 6.34/6.33 f14#(I222, I223, I224, I225, I226, I227, I228, I229, I230) -> f15#(I222, I231, I232, I226, I233, I228, I234, I235, I236) [I234 + 2 <= I224 /\ I229 + 2 <= I223 /\ I228 + 2 <= I223 /\ 1 <= I232 - 1 /\ 0 <= I231 - 1 /\ 1 <= I224 - 1 /\ 0 <= I223 - 1 /\ I232 <= I224 /\ I231 <= I223 /\ 0 <= I222 - 1 /\ 0 <= I227 - 1 /\ 0 <= I225 - 1] 6.34/6.33 f14#(I237, I238, I239, I240, I241, I242, I243, I244, I245) -> f15#(I237, I246, I247, I241, I242, I243, I248, I249, I250) [I248 + 2 <= I239 /\ I244 + 2 <= I238 /\ I243 + 2 <= I238 /\ 1 <= I247 - 1 /\ 0 <= I246 - 1 /\ 1 <= I239 - 1 /\ 0 <= I238 - 1 /\ I247 <= I239 /\ I246 <= I238 /\ 0 <= I237 - 1 /\ 0 <= I242 - 1 /\ 0 <= I240 - 1] 6.34/6.33 f14#(I251, I252, I253, I254, I255, I256, I257, I258, I259) -> f10#(I260, I261, I251 - 1, I255, I256, I262, I263, I264, I265) [I258 + 2 <= I252 /\ I257 + 2 <= I252 /\ 0 <= I261 - 1 /\ 0 <= I260 - 1 /\ 2 <= I253 - 1 /\ 0 <= I252 - 1 /\ I261 + 2 <= I253 /\ 0 <= I254 - 1 /\ I260 <= I252] 6.34/6.33 f14#(I266, I267, I268, I269, I270, I271, I272, I273, I274) -> f12#(I266, I275, I276, I277, I270, I271, I272, I273, I278) [0 = I269 /\ I278 + 2 <= I268 /\ I273 + 2 <= I267 /\ I272 + 2 <= I267 /\ -1 <= I277 - 1 /\ 0 <= I276 - 1 /\ 0 <= I275 - 1 /\ 0 <= I268 - 1 /\ 0 <= I267 - 1 /\ I277 + 1 <= I268 /\ I276 <= I268 /\ I275 <= I267] 6.34/6.33 f13#(I279, I280, I281, I282, I283, I284, I285, I286, I287) -> f10#(I288, I289, I279 - 1, I282, I283, I290, I291, I292, I293) [I284 = I285 /\ I284 + 2 <= I281 /\ I284 + 2 <= I280 /\ 3 <= I289 - 1 /\ 3 <= I288 - 1 /\ 1 <= I281 - 1 /\ 1 <= I280 - 1 /\ I289 - 2 <= I281 /\ I289 - 2 <= I280 /\ I288 - 2 <= I281 /\ I288 - 2 <= I280] 6.34/6.33 f13#(I294, I295, I296, I297, I298, I299, I300, I301, I302) -> f10#(I303, I304, I294 - 1, I297, I298, I305, I306, I307, I308) [I300 + 2 <= I296 /\ I299 + 2 <= I295 /\ 0 <= I304 - 1 /\ 0 <= I303 - 1 /\ 1 <= I296 - 1 /\ 0 <= I295 - 1] 6.34/6.33 f10#(I309, I310, I311, I312, I313, I314, I315, I316, I317) -> f14#(I311, I318, I319, I320, I312, I313 + 1, I321, I322, I323) [I322 + 2 <= I309 /\ I321 + 2 <= I309 /\ 0 <= I319 - 1 /\ 0 <= I318 - 1 /\ 0 <= I310 - 1 /\ 0 <= I309 - 1 /\ I319 <= I310 /\ I318 <= I309 /\ I313 <= I312 - 1 /\ -1 <= I320 - 1 /\ -1 <= I313 - 1 /\ -1 <= I312 - 1 /\ 0 <= I311 - 1] 6.34/6.33 f10#(I324, I325, I326, I327, I328, I329, I330, I331, I332) -> f14#(I326, I333, I334, 0, I327, I328 + 1, I335, I336, I337) [I336 + 2 <= I324 /\ I335 + 2 <= I324 /\ 0 <= I334 - 1 /\ 0 <= I333 - 1 /\ 0 <= I325 - 1 /\ 0 <= I324 - 1 /\ I334 <= I325 /\ I333 <= I324 /\ -1 <= I328 - 1 /\ I328 <= I327 - 1 /\ -1 <= I327 - 1 /\ 0 <= I326 - 1] 6.34/6.33 f12#(I338, I339, I340, I341, I342, I343, I344, I345, I346) -> f13#(I338, I347, I348, I342, I349, I345, I346, I350, I351) [I346 + 2 <= I340 /\ I345 + 2 <= I339 /\ I344 + 2 <= I339 /\ 1 <= I348 - 1 /\ 0 <= I347 - 1 /\ -1 <= I341 - 1 /\ 1 <= I340 - 1 /\ 0 <= I339 - 1 /\ I348 <= I340 /\ I347 <= I339 /\ 0 <= I338 - 1 /\ I342 <= I343] 6.34/6.33 f12#(I352, I353, I354, I355, I356, I357, I358, I359, I360) -> f13#(I352, I361, I362, I356, I357, I359, I360, I363, I364) [I360 + 2 <= I354 /\ I359 + 2 <= I353 /\ I358 + 2 <= I353 /\ 1 <= I362 - 1 /\ 0 <= I361 - 1 /\ -1 <= I355 - 1 /\ 1 <= I354 - 1 /\ 0 <= I353 - 1 /\ I362 <= I354 /\ I361 <= I353 /\ 0 <= I352 - 1 /\ I356 <= I357] 6.34/6.33 f12#(I365, I366, I367, I368, I369, I370, I371, I372, I373) -> f10#(I374, I375, I365 - 1, I369, I370, I376, I377, I378, I379) [I373 + 2 <= I367 /\ I372 + 2 <= I366 /\ I371 + 2 <= I366 /\ 0 <= I375 - 1 /\ 0 <= I374 - 1 /\ 0 <= I368 - 1 /\ 2 <= I367 - 1 /\ 0 <= I366 - 1 /\ I375 <= I368 /\ I375 + 2 <= I367 /\ I374 <= I366] 6.34/6.33 f10#(I380, I381, I382, I383, I384, I385, I386, I387, I388) -> f12#(I382, I389, I390, I391, I383, I384, I392, I393, I394) [I394 + 2 <= I381 /\ I393 + 2 <= I380 /\ I392 + 2 <= I380 /\ -1 <= I391 - 1 /\ 0 <= I390 - 1 /\ 0 <= I389 - 1 /\ 0 <= I381 - 1 /\ 0 <= I380 - 1 /\ I391 + 1 <= I381 /\ I390 <= I381 /\ I389 <= I380 /\ 0 <= I382 - 1 /\ -1 <= I383 - 1 /\ I383 <= I384] 6.34/6.33 f11#(I395, I396, I397, I398, I399, I400, I401, I402, I403) -> f10#(I404, I405, I395, I396, I397, I406, I407, I408, I409) [1 <= I404 - 1 /\ 1 <= I405 - 1] 6.34/6.33 f9#(I410, I411, I412, I413, I414, I415, I416, I417, I418) -> f10#(I419, I420, I410, I411, I421, I422, I423, I424, I425) [1 <= I419 - 1 /\ 1 <= I420 - 1 /\ 0 <= I411 - 1 /\ 0 <= I410 - 1] 6.34/6.33 f9#(I426, I427, I428, I429, I430, I431, I432, I433, I434) -> f10#(I435, I436, I426, I427, 1, I437, I438, I439, I440) [1 <= I435 - 1 /\ 1 <= I436 - 1 /\ 0 <= I427 - 1 /\ 0 <= I426 - 1] 6.34/6.33 f1#(I441, I442, I443, I444, I445, I446, I447, I448, I449) -> f9#(I450, I442, I451, I452, I453, I454, I455, I456, I457) [0 <= I441 - 1 /\ 0 <= I442 - 1 /\ -1 <= I450 - 1] 6.34/6.33 f1#(I458, I459, I460, I461, I462, I463, I464, I465, I466) -> f9#(0, I459, I467, I468, I469, I470, I471, I472, I473) [0 <= I459 - 1 /\ 0 <= I458 - 1] 6.34/6.33 f4#(I474, I475, I476, I477, I478, I479, I480, I481, I482) -> f8#(I483, I484, I485, I486, I487, I488, I489, I490, I491) [2 <= I483 - 1 /\ 2 <= I475 - 1 /\ 0 <= I474 - 1 /\ I483 <= I475] 6.34/6.33 f2#(I492, I493, I494, I495, I496, I497, I498, I499, I500) -> f8#(I501, I502, I503, I504, I505, I506, I507, I508, I509) [-1 <= I501 - 1 /\ 0 <= I492 - 1 /\ I493 <= 1 /\ I501 + 1 <= I492] 6.34/6.33 f6#(I510, I511, I512, I513, I514, I515, I516, I517, I518) -> f8#(I519, I520, I521, I522, I523, I524, I525, I526, I527) [1 <= I519 - 1 /\ 1 <= I511 - 1 /\ 0 <= I510 - 1 /\ I519 <= I511] 6.34/6.33 f7#(I528, I529, I530, I531, I532, I533, I534, I535, I536) -> f6#(I537, I538, I539, I540, I541, I542, I543, I544, I545) [1 <= I538 - 1 /\ 0 <= I537 - 1 /\ 0 <= I528 - 1 /\ I538 - 1 <= I528 /\ I537 <= I528] 6.34/6.33 f4#(I546, I547, I548, I549, I550, I551, I552, I553, I554) -> f6#(I555, I556, I557, I558, I559, I560, I561, I562, I563) [3 <= I556 - 1 /\ 0 <= I555 - 1 /\ 3 <= I547 - 1 /\ 0 <= I546 - 1 /\ I556 <= I547 /\ I555 + 3 <= I547 /\ I555 <= I546] 6.34/6.33 f4#(I564, I565, I566, I567, I568, I569, I570, I571, I572) -> f6#(I573, I574, I575, I576, I577, I578, I579, I580, I581) [4 <= I574 - 1 /\ 0 <= I573 - 1 /\ 4 <= I565 - 1 /\ 0 <= I564 - 1 /\ I574 <= I565 /\ I573 + 4 <= I565 /\ I573 <= I564] 6.34/6.33 f4#(I582, I583, I584, I585, I586, I587, I588, I589, I590) -> f6#(I591, I592, I593, I594, I595, I596, I597, I598, I599) [1 <= I592 - 1 /\ 0 <= I591 - 1 /\ 1 <= I583 - 1 /\ 0 <= I582 - 1 /\ I592 <= I583 /\ I592 - 1 <= I582 /\ I591 + 1 <= I583 /\ I591 <= I582] 6.34/6.33 f4#(I600, I601, I602, I603, I604, I605, I606, I607, I608) -> f3#(I609, I610, I611, I612, I613, I614, I615, I616, I617) [0 <= I609 - 1 /\ 0 <= I601 - 1 /\ 0 <= I600 - 1 /\ I609 <= I601] 6.34/6.33 f5#(I618, I619, I620, I621, I622, I623, I624, I625, I626) -> f4#(I627, I628, I629, I630, I631, I632, I633, I634, I635) [I620 + 2 <= I619 /\ 1 <= I628 - 1 /\ 0 <= I627 - 1 /\ 1 <= I619 - 1 /\ 0 <= I618 - 1 /\ I628 <= I619 /\ I627 + 1 <= I619 /\ I627 <= I618] 6.34/6.33 f1#(I636, I637, I638, I639, I640, I641, I642, I643, I644) -> f4#(I645, I646, I647, I648, I649, I650, I651, I652, I653) [0 <= I646 - 1 /\ 0 <= I645 - 1 /\ 0 <= I636 - 1 /\ I645 <= I636] 6.34/6.33 f2#(I654, I655, I656, I657, I658, I659, I660, I661, I662) -> f3#(I663, I664, I665, I666, I667, I668, I669, I670, I671) [-1 <= I663 - 1 /\ 0 <= I654 - 1 /\ I655 <= 1 /\ I663 + 1 <= I654] 6.34/6.33 f1#(I672, I673, I674, I675, I676, I677, I678, I679, I680) -> f2#(I681, 1, I673, I682, I683, I684, I685, I686, I687) [0 <= I681 - 1 /\ 0 <= I672 - 1 /\ I681 <= I672] 6.34/6.33 f1#(I688, I689, I690, I691, I692, I693, I694, I695, I696) -> f2#(I697, 0, 0, I698, I699, I700, I701, I702, I703) [0 = I689 /\ 0 <= I697 - 1 /\ 0 <= I688 - 1 /\ I697 <= I688] 6.34/6.33 R = 6.34/6.33 init(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9) 6.34/6.33 f17(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f8(I9, I10, I11, I12, I13, I14, I15, I16, I17) [-1 <= I9 - 1 /\ -1 <= I0 - 1 /\ I9 <= I0] 6.34/6.33 f8(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f17(I27, I28, I29, I30, I31, I32, I33, I34, I35) [1 <= I27 - 1 /\ 2 <= I18 - 1] 6.34/6.33 f8(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f17(I45, I46, I47, I48, I49, I50, I51, I52, I53) [-1 <= I45 - 1 /\ 2 <= I36 - 1] 6.34/6.33 f8(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f17(I63, I64, I65, I66, I67, I68, I69, I70, I71) [-1 <= I63 - 1 /\ 2 <= I54 - 1 /\ I63 + 3 <= I54] 6.34/6.33 f8(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f8(I81, I82, I83, I84, I85, I86, I87, I88, I89) [-1 <= I81 - 1 /\ 1 <= I72 - 1 /\ I81 + 2 <= I72] 6.34/6.33 f8(I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f3(I99, I100, I101, I102, I103, I104, I105, I106, I107) [2 <= I99 - 1 /\ 2 <= I90 - 1 /\ I99 <= I90] 6.34/6.33 f14(I108, I109, I110, I111, I112, I113, I114, I115, I116) -> f16(I117, I112, I113, I118, I119, I120, I121, I122, I123) [I115 + 2 <= I109 /\ I114 + 2 <= I109 /\ 1 <= I110 - 1 /\ 0 <= I109 - 1 /\ 0 <= I111 - 1 /\ -1 <= I112 - 1 /\ 0 <= I113 - 1 /\ 0 <= I108 - 1] 6.34/6.33 f12(I124, I125, I126, I127, I128, I129, I130, I131, I132) -> f16(I133, I128, I129, I134, I135, I136, I137, I138, I139) [I132 + 2 <= I126 /\ I131 + 2 <= I125 /\ I130 + 2 <= I125 /\ -1 <= I127 - 1 /\ 1 <= I126 - 1 /\ 0 <= I125 - 1 /\ 0 <= I124 - 1 /\ I128 <= I129 /\ -1 <= I128 - 1] 6.34/6.33 f9(I140, I141, I142, I143, I144, I145, I146, I147, I148) -> f16(I149, I141, 1, I150, I151, I152, I153, I154, I155) [0 <= I140 - 1 /\ 0 <= I141 - 1] 6.34/6.33 f3(I156, I157, I158, I159, I160, I161, I162, I163, I164) -> f3(I165, I166, I167, I168, I169, I170, I171, I172, I173) [2 <= I165 - 1 /\ 2 <= I156 - 1 /\ I165 - 2 <= I156] 6.34/6.33 f3(I174, I175, I176, I177, I178, I179, I180, I181, I182) -> f3(I183, I184, I185, I186, I187, I188, I189, I190, I191) [-1 <= I183 - 1 /\ 1 <= I174 - 1 /\ I183 + 2 <= I174] 6.34/6.33 f15(I192, I193, I194, I195, I196, I197, I198, I199, I200) -> f10(I201, I202, I192 - 1, I195, I196, I203, I204, I205, I206) [I197 = I198 /\ I197 + 2 <= I194 /\ I197 + 2 <= I193 /\ 3 <= I202 - 1 /\ 3 <= I201 - 1 /\ 1 <= I194 - 1 /\ 1 <= I193 - 1 /\ I202 - 2 <= I194 /\ I202 - 2 <= I193 /\ I201 - 2 <= I194 /\ I201 - 2 <= I193] 6.34/6.33 f15(I207, I208, I209, I210, I211, I212, I213, I214, I215) -> f10(I216, I217, I207 - 1, I210, I211, I218, I219, I220, I221) [I213 + 2 <= I209 /\ I212 + 2 <= I208 /\ 0 <= I217 - 1 /\ 0 <= I216 - 1 /\ 1 <= I209 - 1 /\ 0 <= I208 - 1] 6.34/6.33 f14(I222, I223, I224, I225, I226, I227, I228, I229, I230) -> f15(I222, I231, I232, I226, I233, I228, I234, I235, I236) [I234 + 2 <= I224 /\ I229 + 2 <= I223 /\ I228 + 2 <= I223 /\ 1 <= I232 - 1 /\ 0 <= I231 - 1 /\ 1 <= I224 - 1 /\ 0 <= I223 - 1 /\ I232 <= I224 /\ I231 <= I223 /\ 0 <= I222 - 1 /\ 0 <= I227 - 1 /\ 0 <= I225 - 1] 6.34/6.33 f14(I237, I238, I239, I240, I241, I242, I243, I244, I245) -> f15(I237, I246, I247, I241, I242, I243, I248, I249, I250) [I248 + 2 <= I239 /\ I244 + 2 <= I238 /\ I243 + 2 <= I238 /\ 1 <= I247 - 1 /\ 0 <= I246 - 1 /\ 1 <= I239 - 1 /\ 0 <= I238 - 1 /\ I247 <= I239 /\ I246 <= I238 /\ 0 <= I237 - 1 /\ 0 <= I242 - 1 /\ 0 <= I240 - 1] 6.34/6.33 f14(I251, I252, I253, I254, I255, I256, I257, I258, I259) -> f10(I260, I261, I251 - 1, I255, I256, I262, I263, I264, I265) [I258 + 2 <= I252 /\ I257 + 2 <= I252 /\ 0 <= I261 - 1 /\ 0 <= I260 - 1 /\ 2 <= I253 - 1 /\ 0 <= I252 - 1 /\ I261 + 2 <= I253 /\ 0 <= I254 - 1 /\ I260 <= I252] 6.34/6.33 f14(I266, I267, I268, I269, I270, I271, I272, I273, I274) -> f12(I266, I275, I276, I277, I270, I271, I272, I273, I278) [0 = I269 /\ I278 + 2 <= I268 /\ I273 + 2 <= I267 /\ I272 + 2 <= I267 /\ -1 <= I277 - 1 /\ 0 <= I276 - 1 /\ 0 <= I275 - 1 /\ 0 <= I268 - 1 /\ 0 <= I267 - 1 /\ I277 + 1 <= I268 /\ I276 <= I268 /\ I275 <= I267] 6.34/6.33 f13(I279, I280, I281, I282, I283, I284, I285, I286, I287) -> f10(I288, I289, I279 - 1, I282, I283, I290, I291, I292, I293) [I284 = I285 /\ I284 + 2 <= I281 /\ I284 + 2 <= I280 /\ 3 <= I289 - 1 /\ 3 <= I288 - 1 /\ 1 <= I281 - 1 /\ 1 <= I280 - 1 /\ I289 - 2 <= I281 /\ I289 - 2 <= I280 /\ I288 - 2 <= I281 /\ I288 - 2 <= I280] 6.34/6.33 f13(I294, I295, I296, I297, I298, I299, I300, I301, I302) -> f10(I303, I304, I294 - 1, I297, I298, I305, I306, I307, I308) [I300 + 2 <= I296 /\ I299 + 2 <= I295 /\ 0 <= I304 - 1 /\ 0 <= I303 - 1 /\ 1 <= I296 - 1 /\ 0 <= I295 - 1] 6.34/6.33 f10(I309, I310, I311, I312, I313, I314, I315, I316, I317) -> f14(I311, I318, I319, I320, I312, I313 + 1, I321, I322, I323) [I322 + 2 <= I309 /\ I321 + 2 <= I309 /\ 0 <= I319 - 1 /\ 0 <= I318 - 1 /\ 0 <= I310 - 1 /\ 0 <= I309 - 1 /\ I319 <= I310 /\ I318 <= I309 /\ I313 <= I312 - 1 /\ -1 <= I320 - 1 /\ -1 <= I313 - 1 /\ -1 <= I312 - 1 /\ 0 <= I311 - 1] 6.34/6.33 f10(I324, I325, I326, I327, I328, I329, I330, I331, I332) -> f14(I326, I333, I334, 0, I327, I328 + 1, I335, I336, I337) [I336 + 2 <= I324 /\ I335 + 2 <= I324 /\ 0 <= I334 - 1 /\ 0 <= I333 - 1 /\ 0 <= I325 - 1 /\ 0 <= I324 - 1 /\ I334 <= I325 /\ I333 <= I324 /\ -1 <= I328 - 1 /\ I328 <= I327 - 1 /\ -1 <= I327 - 1 /\ 0 <= I326 - 1] 6.34/6.33 f12(I338, I339, I340, I341, I342, I343, I344, I345, I346) -> f13(I338, I347, I348, I342, I349, I345, I346, I350, I351) [I346 + 2 <= I340 /\ I345 + 2 <= I339 /\ I344 + 2 <= I339 /\ 1 <= I348 - 1 /\ 0 <= I347 - 1 /\ -1 <= I341 - 1 /\ 1 <= I340 - 1 /\ 0 <= I339 - 1 /\ I348 <= I340 /\ I347 <= I339 /\ 0 <= I338 - 1 /\ I342 <= I343] 6.34/6.33 f12(I352, I353, I354, I355, I356, I357, I358, I359, I360) -> f13(I352, I361, I362, I356, I357, I359, I360, I363, I364) [I360 + 2 <= I354 /\ I359 + 2 <= I353 /\ I358 + 2 <= I353 /\ 1 <= I362 - 1 /\ 0 <= I361 - 1 /\ -1 <= I355 - 1 /\ 1 <= I354 - 1 /\ 0 <= I353 - 1 /\ I362 <= I354 /\ I361 <= I353 /\ 0 <= I352 - 1 /\ I356 <= I357] 6.34/6.33 f12(I365, I366, I367, I368, I369, I370, I371, I372, I373) -> f10(I374, I375, I365 - 1, I369, I370, I376, I377, I378, I379) [I373 + 2 <= I367 /\ I372 + 2 <= I366 /\ I371 + 2 <= I366 /\ 0 <= I375 - 1 /\ 0 <= I374 - 1 /\ 0 <= I368 - 1 /\ 2 <= I367 - 1 /\ 0 <= I366 - 1 /\ I375 <= I368 /\ I375 + 2 <= I367 /\ I374 <= I366] 6.34/6.33 f10(I380, I381, I382, I383, I384, I385, I386, I387, I388) -> f12(I382, I389, I390, I391, I383, I384, I392, I393, I394) [I394 + 2 <= I381 /\ I393 + 2 <= I380 /\ I392 + 2 <= I380 /\ -1 <= I391 - 1 /\ 0 <= I390 - 1 /\ 0 <= I389 - 1 /\ 0 <= I381 - 1 /\ 0 <= I380 - 1 /\ I391 + 1 <= I381 /\ I390 <= I381 /\ I389 <= I380 /\ 0 <= I382 - 1 /\ -1 <= I383 - 1 /\ I383 <= I384] 6.34/6.33 f11(I395, I396, I397, I398, I399, I400, I401, I402, I403) -> f10(I404, I405, I395, I396, I397, I406, I407, I408, I409) [1 <= I404 - 1 /\ 1 <= I405 - 1] 6.34/6.33 f9(I410, I411, I412, I413, I414, I415, I416, I417, I418) -> f10(I419, I420, I410, I411, I421, I422, I423, I424, I425) [1 <= I419 - 1 /\ 1 <= I420 - 1 /\ 0 <= I411 - 1 /\ 0 <= I410 - 1] 6.34/6.33 f9(I426, I427, I428, I429, I430, I431, I432, I433, I434) -> f10(I435, I436, I426, I427, 1, I437, I438, I439, I440) [1 <= I435 - 1 /\ 1 <= I436 - 1 /\ 0 <= I427 - 1 /\ 0 <= I426 - 1] 6.34/6.33 f1(I441, I442, I443, I444, I445, I446, I447, I448, I449) -> f9(I450, I442, I451, I452, I453, I454, I455, I456, I457) [0 <= I441 - 1 /\ 0 <= I442 - 1 /\ -1 <= I450 - 1] 6.34/6.33 f1(I458, I459, I460, I461, I462, I463, I464, I465, I466) -> f9(0, I459, I467, I468, I469, I470, I471, I472, I473) [0 <= I459 - 1 /\ 0 <= I458 - 1] 6.34/6.33 f4(I474, I475, I476, I477, I478, I479, I480, I481, I482) -> f8(I483, I484, I485, I486, I487, I488, I489, I490, I491) [2 <= I483 - 1 /\ 2 <= I475 - 1 /\ 0 <= I474 - 1 /\ I483 <= I475] 6.34/6.33 f2(I492, I493, I494, I495, I496, I497, I498, I499, I500) -> f8(I501, I502, I503, I504, I505, I506, I507, I508, I509) [-1 <= I501 - 1 /\ 0 <= I492 - 1 /\ I493 <= 1 /\ I501 + 1 <= I492] 6.34/6.33 f6(I510, I511, I512, I513, I514, I515, I516, I517, I518) -> f8(I519, I520, I521, I522, I523, I524, I525, I526, I527) [1 <= I519 - 1 /\ 1 <= I511 - 1 /\ 0 <= I510 - 1 /\ I519 <= I511] 6.34/6.33 f7(I528, I529, I530, I531, I532, I533, I534, I535, I536) -> f6(I537, I538, I539, I540, I541, I542, I543, I544, I545) [1 <= I538 - 1 /\ 0 <= I537 - 1 /\ 0 <= I528 - 1 /\ I538 - 1 <= I528 /\ I537 <= I528] 6.34/6.33 f4(I546, I547, I548, I549, I550, I551, I552, I553, I554) -> f6(I555, I556, I557, I558, I559, I560, I561, I562, I563) [3 <= I556 - 1 /\ 0 <= I555 - 1 /\ 3 <= I547 - 1 /\ 0 <= I546 - 1 /\ I556 <= I547 /\ I555 + 3 <= I547 /\ I555 <= I546] 6.34/6.33 f4(I564, I565, I566, I567, I568, I569, I570, I571, I572) -> f6(I573, I574, I575, I576, I577, I578, I579, I580, I581) [4 <= I574 - 1 /\ 0 <= I573 - 1 /\ 4 <= I565 - 1 /\ 0 <= I564 - 1 /\ I574 <= I565 /\ I573 + 4 <= I565 /\ I573 <= I564] 6.34/6.33 f4(I582, I583, I584, I585, I586, I587, I588, I589, I590) -> f6(I591, I592, I593, I594, I595, I596, I597, I598, I599) [1 <= I592 - 1 /\ 0 <= I591 - 1 /\ 1 <= I583 - 1 /\ 0 <= I582 - 1 /\ I592 <= I583 /\ I592 - 1 <= I582 /\ I591 + 1 <= I583 /\ I591 <= I582] 6.34/6.33 f4(I600, I601, I602, I603, I604, I605, I606, I607, I608) -> f3(I609, I610, I611, I612, I613, I614, I615, I616, I617) [0 <= I609 - 1 /\ 0 <= I601 - 1 /\ 0 <= I600 - 1 /\ I609 <= I601] 6.34/6.33 f5(I618, I619, I620, I621, I622, I623, I624, I625, I626) -> f4(I627, I628, I629, I630, I631, I632, I633, I634, I635) [I620 + 2 <= I619 /\ 1 <= I628 - 1 /\ 0 <= I627 - 1 /\ 1 <= I619 - 1 /\ 0 <= I618 - 1 /\ I628 <= I619 /\ I627 + 1 <= I619 /\ I627 <= I618] 6.34/6.33 f1(I636, I637, I638, I639, I640, I641, I642, I643, I644) -> f4(I645, I646, I647, I648, I649, I650, I651, I652, I653) [0 <= I646 - 1 /\ 0 <= I645 - 1 /\ 0 <= I636 - 1 /\ I645 <= I636] 6.34/6.33 f2(I654, I655, I656, I657, I658, I659, I660, I661, I662) -> f3(I663, I664, I665, I666, I667, I668, I669, I670, I671) [-1 <= I663 - 1 /\ 0 <= I654 - 1 /\ I655 <= 1 /\ I663 + 1 <= I654] 6.34/6.33 f1(I672, I673, I674, I675, I676, I677, I678, I679, I680) -> f2(I681, 1, I673, I682, I683, I684, I685, I686, I687) [0 <= I681 - 1 /\ 0 <= I672 - 1 /\ I681 <= I672] 6.34/6.33 f1(I688, I689, I690, I691, I692, I693, I694, I695, I696) -> f2(I697, 0, 0, I698, I699, I700, I701, I702, I703) [0 = I689 /\ 0 <= I697 - 1 /\ 0 <= I688 - 1 /\ I697 <= I688] 6.34/6.33 6.34/6.33 The dependency graph for this problem is: 6.34/6.33 0 -> 26, 27, 37, 39, 40 6.34/6.33 1 -> 2, 3, 4, 5, 6 6.34/6.33 2 -> 1 6.34/6.33 3 -> 1 6.34/6.33 4 -> 1 6.34/6.33 5 -> 2, 3, 4, 5, 6 6.34/6.33 6 -> 7, 8 6.34/6.33 7 -> 7, 8 6.34/6.33 8 -> 7, 8 6.34/6.33 9 -> 17, 18, 22 6.34/6.33 10 -> 17, 18, 22 6.34/6.33 11 -> 9, 10 6.34/6.33 12 -> 9, 10 6.34/6.33 13 -> 17, 18, 22 6.34/6.33 14 -> 19, 20, 21 6.34/6.33 15 -> 17, 18, 22 6.34/6.33 16 -> 17, 18, 22 6.34/6.33 17 -> 11, 12, 13, 14 6.34/6.33 18 -> 14 6.34/6.33 19 -> 15, 16 6.34/6.33 20 -> 15, 16 6.34/6.33 21 -> 17, 18, 22 6.34/6.33 22 -> 19, 20, 21 6.34/6.33 23 -> 17, 18, 22 6.34/6.33 24 -> 17, 18, 22 6.34/6.33 25 -> 17, 18, 22 6.34/6.33 26 -> 24, 25 6.34/6.33 27 -> 6.34/6.33 28 -> 2, 3, 4, 5, 6 6.34/6.33 29 -> 2, 3, 4, 5, 6 6.34/6.33 30 -> 2, 3, 4, 5, 6 6.34/6.33 31 -> 30 6.34/6.33 32 -> 30 6.34/6.33 33 -> 30 6.34/6.33 34 -> 30 6.34/6.33 35 -> 7, 8 6.34/6.33 36 -> 28, 32, 33, 34, 35 6.34/6.33 37 -> 28, 32, 33, 34, 35 6.34/6.33 38 -> 7, 8 6.34/6.33 39 -> 29, 38 6.34/6.33 40 -> 29, 38 6.34/6.33 Where: 6.34/6.33 0) init#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f1#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9) 6.34/6.33 1) f17#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f8#(I9, I10, I11, I12, I13, I14, I15, I16, I17) [-1 <= I9 - 1 /\ -1 <= I0 - 1 /\ I9 <= I0] 6.34/6.33 2) f8#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f17#(I27, I28, I29, I30, I31, I32, I33, I34, I35) [1 <= I27 - 1 /\ 2 <= I18 - 1] 6.34/6.33 3) f8#(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f17#(I45, I46, I47, I48, I49, I50, I51, I52, I53) [-1 <= I45 - 1 /\ 2 <= I36 - 1] 6.34/6.33 4) f8#(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f17#(I63, I64, I65, I66, I67, I68, I69, I70, I71) [-1 <= I63 - 1 /\ 2 <= I54 - 1 /\ I63 + 3 <= I54] 6.34/6.33 5) f8#(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f8#(I81, I82, I83, I84, I85, I86, I87, I88, I89) [-1 <= I81 - 1 /\ 1 <= I72 - 1 /\ I81 + 2 <= I72] 6.34/6.33 6) f8#(I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f3#(I99, I100, I101, I102, I103, I104, I105, I106, I107) [2 <= I99 - 1 /\ 2 <= I90 - 1 /\ I99 <= I90] 6.34/6.33 7) f3#(I156, I157, I158, I159, I160, I161, I162, I163, I164) -> f3#(I165, I166, I167, I168, I169, I170, I171, I172, I173) [2 <= I165 - 1 /\ 2 <= I156 - 1 /\ I165 - 2 <= I156] 6.34/6.33 8) f3#(I174, I175, I176, I177, I178, I179, I180, I181, I182) -> f3#(I183, I184, I185, I186, I187, I188, I189, I190, I191) [-1 <= I183 - 1 /\ 1 <= I174 - 1 /\ I183 + 2 <= I174] 6.34/6.33 9) f15#(I192, I193, I194, I195, I196, I197, I198, I199, I200) -> f10#(I201, I202, I192 - 1, I195, I196, I203, I204, I205, I206) [I197 = I198 /\ I197 + 2 <= I194 /\ I197 + 2 <= I193 /\ 3 <= I202 - 1 /\ 3 <= I201 - 1 /\ 1 <= I194 - 1 /\ 1 <= I193 - 1 /\ I202 - 2 <= I194 /\ I202 - 2 <= I193 /\ I201 - 2 <= I194 /\ I201 - 2 <= I193] 6.34/6.33 10) f15#(I207, I208, I209, I210, I211, I212, I213, I214, I215) -> f10#(I216, I217, I207 - 1, I210, I211, I218, I219, I220, I221) [I213 + 2 <= I209 /\ I212 + 2 <= I208 /\ 0 <= I217 - 1 /\ 0 <= I216 - 1 /\ 1 <= I209 - 1 /\ 0 <= I208 - 1] 6.34/6.33 11) f14#(I222, I223, I224, I225, I226, I227, I228, I229, I230) -> f15#(I222, I231, I232, I226, I233, I228, I234, I235, I236) [I234 + 2 <= I224 /\ I229 + 2 <= I223 /\ I228 + 2 <= I223 /\ 1 <= I232 - 1 /\ 0 <= I231 - 1 /\ 1 <= I224 - 1 /\ 0 <= I223 - 1 /\ I232 <= I224 /\ I231 <= I223 /\ 0 <= I222 - 1 /\ 0 <= I227 - 1 /\ 0 <= I225 - 1] 6.34/6.33 12) f14#(I237, I238, I239, I240, I241, I242, I243, I244, I245) -> f15#(I237, I246, I247, I241, I242, I243, I248, I249, I250) [I248 + 2 <= I239 /\ I244 + 2 <= I238 /\ I243 + 2 <= I238 /\ 1 <= I247 - 1 /\ 0 <= I246 - 1 /\ 1 <= I239 - 1 /\ 0 <= I238 - 1 /\ I247 <= I239 /\ I246 <= I238 /\ 0 <= I237 - 1 /\ 0 <= I242 - 1 /\ 0 <= I240 - 1] 6.34/6.33 13) f14#(I251, I252, I253, I254, I255, I256, I257, I258, I259) -> f10#(I260, I261, I251 - 1, I255, I256, I262, I263, I264, I265) [I258 + 2 <= I252 /\ I257 + 2 <= I252 /\ 0 <= I261 - 1 /\ 0 <= I260 - 1 /\ 2 <= I253 - 1 /\ 0 <= I252 - 1 /\ I261 + 2 <= I253 /\ 0 <= I254 - 1 /\ I260 <= I252] 6.34/6.33 14) f14#(I266, I267, I268, I269, I270, I271, I272, I273, I274) -> f12#(I266, I275, I276, I277, I270, I271, I272, I273, I278) [0 = I269 /\ I278 + 2 <= I268 /\ I273 + 2 <= I267 /\ I272 + 2 <= I267 /\ -1 <= I277 - 1 /\ 0 <= I276 - 1 /\ 0 <= I275 - 1 /\ 0 <= I268 - 1 /\ 0 <= I267 - 1 /\ I277 + 1 <= I268 /\ I276 <= I268 /\ I275 <= I267] 6.34/6.33 15) f13#(I279, I280, I281, I282, I283, I284, I285, I286, I287) -> f10#(I288, I289, I279 - 1, I282, I283, I290, I291, I292, I293) [I284 = I285 /\ I284 + 2 <= I281 /\ I284 + 2 <= I280 /\ 3 <= I289 - 1 /\ 3 <= I288 - 1 /\ 1 <= I281 - 1 /\ 1 <= I280 - 1 /\ I289 - 2 <= I281 /\ I289 - 2 <= I280 /\ I288 - 2 <= I281 /\ I288 - 2 <= I280] 6.34/6.33 16) f13#(I294, I295, I296, I297, I298, I299, I300, I301, I302) -> f10#(I303, I304, I294 - 1, I297, I298, I305, I306, I307, I308) [I300 + 2 <= I296 /\ I299 + 2 <= I295 /\ 0 <= I304 - 1 /\ 0 <= I303 - 1 /\ 1 <= I296 - 1 /\ 0 <= I295 - 1] 6.34/6.33 17) f10#(I309, I310, I311, I312, I313, I314, I315, I316, I317) -> f14#(I311, I318, I319, I320, I312, I313 + 1, I321, I322, I323) [I322 + 2 <= I309 /\ I321 + 2 <= I309 /\ 0 <= I319 - 1 /\ 0 <= I318 - 1 /\ 0 <= I310 - 1 /\ 0 <= I309 - 1 /\ I319 <= I310 /\ I318 <= I309 /\ I313 <= I312 - 1 /\ -1 <= I320 - 1 /\ -1 <= I313 - 1 /\ -1 <= I312 - 1 /\ 0 <= I311 - 1] 6.34/6.33 18) f10#(I324, I325, I326, I327, I328, I329, I330, I331, I332) -> f14#(I326, I333, I334, 0, I327, I328 + 1, I335, I336, I337) [I336 + 2 <= I324 /\ I335 + 2 <= I324 /\ 0 <= I334 - 1 /\ 0 <= I333 - 1 /\ 0 <= I325 - 1 /\ 0 <= I324 - 1 /\ I334 <= I325 /\ I333 <= I324 /\ -1 <= I328 - 1 /\ I328 <= I327 - 1 /\ -1 <= I327 - 1 /\ 0 <= I326 - 1] 6.34/6.33 19) f12#(I338, I339, I340, I341, I342, I343, I344, I345, I346) -> f13#(I338, I347, I348, I342, I349, I345, I346, I350, I351) [I346 + 2 <= I340 /\ I345 + 2 <= I339 /\ I344 + 2 <= I339 /\ 1 <= I348 - 1 /\ 0 <= I347 - 1 /\ -1 <= I341 - 1 /\ 1 <= I340 - 1 /\ 0 <= I339 - 1 /\ I348 <= I340 /\ I347 <= I339 /\ 0 <= I338 - 1 /\ I342 <= I343] 6.34/6.33 20) f12#(I352, I353, I354, I355, I356, I357, I358, I359, I360) -> f13#(I352, I361, I362, I356, I357, I359, I360, I363, I364) [I360 + 2 <= I354 /\ I359 + 2 <= I353 /\ I358 + 2 <= I353 /\ 1 <= I362 - 1 /\ 0 <= I361 - 1 /\ -1 <= I355 - 1 /\ 1 <= I354 - 1 /\ 0 <= I353 - 1 /\ I362 <= I354 /\ I361 <= I353 /\ 0 <= I352 - 1 /\ I356 <= I357] 6.34/6.33 21) f12#(I365, I366, I367, I368, I369, I370, I371, I372, I373) -> f10#(I374, I375, I365 - 1, I369, I370, I376, I377, I378, I379) [I373 + 2 <= I367 /\ I372 + 2 <= I366 /\ I371 + 2 <= I366 /\ 0 <= I375 - 1 /\ 0 <= I374 - 1 /\ 0 <= I368 - 1 /\ 2 <= I367 - 1 /\ 0 <= I366 - 1 /\ I375 <= I368 /\ I375 + 2 <= I367 /\ I374 <= I366] 6.34/6.33 22) f10#(I380, I381, I382, I383, I384, I385, I386, I387, I388) -> f12#(I382, I389, I390, I391, I383, I384, I392, I393, I394) [I394 + 2 <= I381 /\ I393 + 2 <= I380 /\ I392 + 2 <= I380 /\ -1 <= I391 - 1 /\ 0 <= I390 - 1 /\ 0 <= I389 - 1 /\ 0 <= I381 - 1 /\ 0 <= I380 - 1 /\ I391 + 1 <= I381 /\ I390 <= I381 /\ I389 <= I380 /\ 0 <= I382 - 1 /\ -1 <= I383 - 1 /\ I383 <= I384] 6.34/6.33 23) f11#(I395, I396, I397, I398, I399, I400, I401, I402, I403) -> f10#(I404, I405, I395, I396, I397, I406, I407, I408, I409) [1 <= I404 - 1 /\ 1 <= I405 - 1] 6.34/6.33 24) f9#(I410, I411, I412, I413, I414, I415, I416, I417, I418) -> f10#(I419, I420, I410, I411, I421, I422, I423, I424, I425) [1 <= I419 - 1 /\ 1 <= I420 - 1 /\ 0 <= I411 - 1 /\ 0 <= I410 - 1] 6.34/6.33 25) f9#(I426, I427, I428, I429, I430, I431, I432, I433, I434) -> f10#(I435, I436, I426, I427, 1, I437, I438, I439, I440) [1 <= I435 - 1 /\ 1 <= I436 - 1 /\ 0 <= I427 - 1 /\ 0 <= I426 - 1] 6.34/6.33 26) f1#(I441, I442, I443, I444, I445, I446, I447, I448, I449) -> f9#(I450, I442, I451, I452, I453, I454, I455, I456, I457) [0 <= I441 - 1 /\ 0 <= I442 - 1 /\ -1 <= I450 - 1] 6.34/6.33 27) f1#(I458, I459, I460, I461, I462, I463, I464, I465, I466) -> f9#(0, I459, I467, I468, I469, I470, I471, I472, I473) [0 <= I459 - 1 /\ 0 <= I458 - 1] 6.34/6.33 28) f4#(I474, I475, I476, I477, I478, I479, I480, I481, I482) -> f8#(I483, I484, I485, I486, I487, I488, I489, I490, I491) [2 <= I483 - 1 /\ 2 <= I475 - 1 /\ 0 <= I474 - 1 /\ I483 <= I475] 6.34/6.33 29) f2#(I492, I493, I494, I495, I496, I497, I498, I499, I500) -> f8#(I501, I502, I503, I504, I505, I506, I507, I508, I509) [-1 <= I501 - 1 /\ 0 <= I492 - 1 /\ I493 <= 1 /\ I501 + 1 <= I492] 6.34/6.33 30) f6#(I510, I511, I512, I513, I514, I515, I516, I517, I518) -> f8#(I519, I520, I521, I522, I523, I524, I525, I526, I527) [1 <= I519 - 1 /\ 1 <= I511 - 1 /\ 0 <= I510 - 1 /\ I519 <= I511] 6.34/6.33 31) f7#(I528, I529, I530, I531, I532, I533, I534, I535, I536) -> f6#(I537, I538, I539, I540, I541, I542, I543, I544, I545) [1 <= I538 - 1 /\ 0 <= I537 - 1 /\ 0 <= I528 - 1 /\ I538 - 1 <= I528 /\ I537 <= I528] 6.34/6.33 32) f4#(I546, I547, I548, I549, I550, I551, I552, I553, I554) -> f6#(I555, I556, I557, I558, I559, I560, I561, I562, I563) [3 <= I556 - 1 /\ 0 <= I555 - 1 /\ 3 <= I547 - 1 /\ 0 <= I546 - 1 /\ I556 <= I547 /\ I555 + 3 <= I547 /\ I555 <= I546] 6.34/6.33 33) f4#(I564, I565, I566, I567, I568, I569, I570, I571, I572) -> f6#(I573, I574, I575, I576, I577, I578, I579, I580, I581) [4 <= I574 - 1 /\ 0 <= I573 - 1 /\ 4 <= I565 - 1 /\ 0 <= I564 - 1 /\ I574 <= I565 /\ I573 + 4 <= I565 /\ I573 <= I564] 6.34/6.33 34) f4#(I582, I583, I584, I585, I586, I587, I588, I589, I590) -> f6#(I591, I592, I593, I594, I595, I596, I597, I598, I599) [1 <= I592 - 1 /\ 0 <= I591 - 1 /\ 1 <= I583 - 1 /\ 0 <= I582 - 1 /\ I592 <= I583 /\ I592 - 1 <= I582 /\ I591 + 1 <= I583 /\ I591 <= I582] 6.34/6.33 35) f4#(I600, I601, I602, I603, I604, I605, I606, I607, I608) -> f3#(I609, I610, I611, I612, I613, I614, I615, I616, I617) [0 <= I609 - 1 /\ 0 <= I601 - 1 /\ 0 <= I600 - 1 /\ I609 <= I601] 6.34/6.33 36) f5#(I618, I619, I620, I621, I622, I623, I624, I625, I626) -> f4#(I627, I628, I629, I630, I631, I632, I633, I634, I635) [I620 + 2 <= I619 /\ 1 <= I628 - 1 /\ 0 <= I627 - 1 /\ 1 <= I619 - 1 /\ 0 <= I618 - 1 /\ I628 <= I619 /\ I627 + 1 <= I619 /\ I627 <= I618] 6.34/6.33 37) f1#(I636, I637, I638, I639, I640, I641, I642, I643, I644) -> f4#(I645, I646, I647, I648, I649, I650, I651, I652, I653) [0 <= I646 - 1 /\ 0 <= I645 - 1 /\ 0 <= I636 - 1 /\ I645 <= I636] 6.34/6.33 38) f2#(I654, I655, I656, I657, I658, I659, I660, I661, I662) -> f3#(I663, I664, I665, I666, I667, I668, I669, I670, I671) [-1 <= I663 - 1 /\ 0 <= I654 - 1 /\ I655 <= 1 /\ I663 + 1 <= I654] 6.34/6.33 39) f1#(I672, I673, I674, I675, I676, I677, I678, I679, I680) -> f2#(I681, 1, I673, I682, I683, I684, I685, I686, I687) [0 <= I681 - 1 /\ 0 <= I672 - 1 /\ I681 <= I672] 6.34/6.33 40) f1#(I688, I689, I690, I691, I692, I693, I694, I695, I696) -> f2#(I697, 0, 0, I698, I699, I700, I701, I702, I703) [0 = I689 /\ 0 <= I697 - 1 /\ 0 <= I688 - 1 /\ I697 <= I688] 6.34/6.33 6.34/6.33 We have the following SCCs. 6.34/6.33 { 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22 } 6.34/6.33 { 1, 2, 3, 4, 5 } 6.34/6.33 { 7, 8 } 6.34/6.33 6.34/6.33 DP problem for innermost termination. 6.34/6.33 P = 6.34/6.33 f3#(I156, I157, I158, I159, I160, I161, I162, I163, I164) -> f3#(I165, I166, I167, I168, I169, I170, I171, I172, I173) [2 <= I165 - 1 /\ 2 <= I156 - 1 /\ I165 - 2 <= I156] 6.34/6.33 f3#(I174, I175, I176, I177, I178, I179, I180, I181, I182) -> f3#(I183, I184, I185, I186, I187, I188, I189, I190, I191) [-1 <= I183 - 1 /\ 1 <= I174 - 1 /\ I183 + 2 <= I174] 6.34/6.33 R = 6.34/6.33 init(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9) 6.34/6.33 f17(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f8(I9, I10, I11, I12, I13, I14, I15, I16, I17) [-1 <= I9 - 1 /\ -1 <= I0 - 1 /\ I9 <= I0] 6.34/6.33 f8(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f17(I27, I28, I29, I30, I31, I32, I33, I34, I35) [1 <= I27 - 1 /\ 2 <= I18 - 1] 6.34/6.33 f8(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f17(I45, I46, I47, I48, I49, I50, I51, I52, I53) [-1 <= I45 - 1 /\ 2 <= I36 - 1] 6.34/6.33 f8(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f17(I63, I64, I65, I66, I67, I68, I69, I70, I71) [-1 <= I63 - 1 /\ 2 <= I54 - 1 /\ I63 + 3 <= I54] 6.34/6.33 f8(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f8(I81, I82, I83, I84, I85, I86, I87, I88, I89) [-1 <= I81 - 1 /\ 1 <= I72 - 1 /\ I81 + 2 <= I72] 6.34/6.33 f8(I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f3(I99, I100, I101, I102, I103, I104, I105, I106, I107) [2 <= I99 - 1 /\ 2 <= I90 - 1 /\ I99 <= I90] 6.34/6.33 f14(I108, I109, I110, I111, I112, I113, I114, I115, I116) -> f16(I117, I112, I113, I118, I119, I120, I121, I122, I123) [I115 + 2 <= I109 /\ I114 + 2 <= I109 /\ 1 <= I110 - 1 /\ 0 <= I109 - 1 /\ 0 <= I111 - 1 /\ -1 <= I112 - 1 /\ 0 <= I113 - 1 /\ 0 <= I108 - 1] 6.34/6.33 f12(I124, I125, I126, I127, I128, I129, I130, I131, I132) -> f16(I133, I128, I129, I134, I135, I136, I137, I138, I139) [I132 + 2 <= I126 /\ I131 + 2 <= I125 /\ I130 + 2 <= I125 /\ -1 <= I127 - 1 /\ 1 <= I126 - 1 /\ 0 <= I125 - 1 /\ 0 <= I124 - 1 /\ I128 <= I129 /\ -1 <= I128 - 1] 6.34/6.33 f9(I140, I141, I142, I143, I144, I145, I146, I147, I148) -> f16(I149, I141, 1, I150, I151, I152, I153, I154, I155) [0 <= I140 - 1 /\ 0 <= I141 - 1] 6.34/6.33 f3(I156, I157, I158, I159, I160, I161, I162, I163, I164) -> f3(I165, I166, I167, I168, I169, I170, I171, I172, I173) [2 <= I165 - 1 /\ 2 <= I156 - 1 /\ I165 - 2 <= I156] 6.34/6.33 f3(I174, I175, I176, I177, I178, I179, I180, I181, I182) -> f3(I183, I184, I185, I186, I187, I188, I189, I190, I191) [-1 <= I183 - 1 /\ 1 <= I174 - 1 /\ I183 + 2 <= I174] 6.34/6.33 f15(I192, I193, I194, I195, I196, I197, I198, I199, I200) -> f10(I201, I202, I192 - 1, I195, I196, I203, I204, I205, I206) [I197 = I198 /\ I197 + 2 <= I194 /\ I197 + 2 <= I193 /\ 3 <= I202 - 1 /\ 3 <= I201 - 1 /\ 1 <= I194 - 1 /\ 1 <= I193 - 1 /\ I202 - 2 <= I194 /\ I202 - 2 <= I193 /\ I201 - 2 <= I194 /\ I201 - 2 <= I193] 6.34/6.33 f15(I207, I208, I209, I210, I211, I212, I213, I214, I215) -> f10(I216, I217, I207 - 1, I210, I211, I218, I219, I220, I221) [I213 + 2 <= I209 /\ I212 + 2 <= I208 /\ 0 <= I217 - 1 /\ 0 <= I216 - 1 /\ 1 <= I209 - 1 /\ 0 <= I208 - 1] 6.34/6.33 f14(I222, I223, I224, I225, I226, I227, I228, I229, I230) -> f15(I222, I231, I232, I226, I233, I228, I234, I235, I236) [I234 + 2 <= I224 /\ I229 + 2 <= I223 /\ I228 + 2 <= I223 /\ 1 <= I232 - 1 /\ 0 <= I231 - 1 /\ 1 <= I224 - 1 /\ 0 <= I223 - 1 /\ I232 <= I224 /\ I231 <= I223 /\ 0 <= I222 - 1 /\ 0 <= I227 - 1 /\ 0 <= I225 - 1] 6.34/6.33 f14(I237, I238, I239, I240, I241, I242, I243, I244, I245) -> f15(I237, I246, I247, I241, I242, I243, I248, I249, I250) [I248 + 2 <= I239 /\ I244 + 2 <= I238 /\ I243 + 2 <= I238 /\ 1 <= I247 - 1 /\ 0 <= I246 - 1 /\ 1 <= I239 - 1 /\ 0 <= I238 - 1 /\ I247 <= I239 /\ I246 <= I238 /\ 0 <= I237 - 1 /\ 0 <= I242 - 1 /\ 0 <= I240 - 1] 6.34/6.33 f14(I251, I252, I253, I254, I255, I256, I257, I258, I259) -> f10(I260, I261, I251 - 1, I255, I256, I262, I263, I264, I265) [I258 + 2 <= I252 /\ I257 + 2 <= I252 /\ 0 <= I261 - 1 /\ 0 <= I260 - 1 /\ 2 <= I253 - 1 /\ 0 <= I252 - 1 /\ I261 + 2 <= I253 /\ 0 <= I254 - 1 /\ I260 <= I252] 6.34/6.33 f14(I266, I267, I268, I269, I270, I271, I272, I273, I274) -> f12(I266, I275, I276, I277, I270, I271, I272, I273, I278) [0 = I269 /\ I278 + 2 <= I268 /\ I273 + 2 <= I267 /\ I272 + 2 <= I267 /\ -1 <= I277 - 1 /\ 0 <= I276 - 1 /\ 0 <= I275 - 1 /\ 0 <= I268 - 1 /\ 0 <= I267 - 1 /\ I277 + 1 <= I268 /\ I276 <= I268 /\ I275 <= I267] 6.34/6.33 f13(I279, I280, I281, I282, I283, I284, I285, I286, I287) -> f10(I288, I289, I279 - 1, I282, I283, I290, I291, I292, I293) [I284 = I285 /\ I284 + 2 <= I281 /\ I284 + 2 <= I280 /\ 3 <= I289 - 1 /\ 3 <= I288 - 1 /\ 1 <= I281 - 1 /\ 1 <= I280 - 1 /\ I289 - 2 <= I281 /\ I289 - 2 <= I280 /\ I288 - 2 <= I281 /\ I288 - 2 <= I280] 6.34/6.33 f13(I294, I295, I296, I297, I298, I299, I300, I301, I302) -> f10(I303, I304, I294 - 1, I297, I298, I305, I306, I307, I308) [I300 + 2 <= I296 /\ I299 + 2 <= I295 /\ 0 <= I304 - 1 /\ 0 <= I303 - 1 /\ 1 <= I296 - 1 /\ 0 <= I295 - 1] 6.34/6.33 f10(I309, I310, I311, I312, I313, I314, I315, I316, I317) -> f14(I311, I318, I319, I320, I312, I313 + 1, I321, I322, I323) [I322 + 2 <= I309 /\ I321 + 2 <= I309 /\ 0 <= I319 - 1 /\ 0 <= I318 - 1 /\ 0 <= I310 - 1 /\ 0 <= I309 - 1 /\ I319 <= I310 /\ I318 <= I309 /\ I313 <= I312 - 1 /\ -1 <= I320 - 1 /\ -1 <= I313 - 1 /\ -1 <= I312 - 1 /\ 0 <= I311 - 1] 6.34/6.33 f10(I324, I325, I326, I327, I328, I329, I330, I331, I332) -> f14(I326, I333, I334, 0, I327, I328 + 1, I335, I336, I337) [I336 + 2 <= I324 /\ I335 + 2 <= I324 /\ 0 <= I334 - 1 /\ 0 <= I333 - 1 /\ 0 <= I325 - 1 /\ 0 <= I324 - 1 /\ I334 <= I325 /\ I333 <= I324 /\ -1 <= I328 - 1 /\ I328 <= I327 - 1 /\ -1 <= I327 - 1 /\ 0 <= I326 - 1] 6.34/6.33 f12(I338, I339, I340, I341, I342, I343, I344, I345, I346) -> f13(I338, I347, I348, I342, I349, I345, I346, I350, I351) [I346 + 2 <= I340 /\ I345 + 2 <= I339 /\ I344 + 2 <= I339 /\ 1 <= I348 - 1 /\ 0 <= I347 - 1 /\ -1 <= I341 - 1 /\ 1 <= I340 - 1 /\ 0 <= I339 - 1 /\ I348 <= I340 /\ I347 <= I339 /\ 0 <= I338 - 1 /\ I342 <= I343] 6.34/6.33 f12(I352, I353, I354, I355, I356, I357, I358, I359, I360) -> f13(I352, I361, I362, I356, I357, I359, I360, I363, I364) [I360 + 2 <= I354 /\ I359 + 2 <= I353 /\ I358 + 2 <= I353 /\ 1 <= I362 - 1 /\ 0 <= I361 - 1 /\ -1 <= I355 - 1 /\ 1 <= I354 - 1 /\ 0 <= I353 - 1 /\ I362 <= I354 /\ I361 <= I353 /\ 0 <= I352 - 1 /\ I356 <= I357] 6.34/6.33 f12(I365, I366, I367, I368, I369, I370, I371, I372, I373) -> f10(I374, I375, I365 - 1, I369, I370, I376, I377, I378, I379) [I373 + 2 <= I367 /\ I372 + 2 <= I366 /\ I371 + 2 <= I366 /\ 0 <= I375 - 1 /\ 0 <= I374 - 1 /\ 0 <= I368 - 1 /\ 2 <= I367 - 1 /\ 0 <= I366 - 1 /\ I375 <= I368 /\ I375 + 2 <= I367 /\ I374 <= I366] 6.34/6.33 f10(I380, I381, I382, I383, I384, I385, I386, I387, I388) -> f12(I382, I389, I390, I391, I383, I384, I392, I393, I394) [I394 + 2 <= I381 /\ I393 + 2 <= I380 /\ I392 + 2 <= I380 /\ -1 <= I391 - 1 /\ 0 <= I390 - 1 /\ 0 <= I389 - 1 /\ 0 <= I381 - 1 /\ 0 <= I380 - 1 /\ I391 + 1 <= I381 /\ I390 <= I381 /\ I389 <= I380 /\ 0 <= I382 - 1 /\ -1 <= I383 - 1 /\ I383 <= I384] 6.34/6.33 f11(I395, I396, I397, I398, I399, I400, I401, I402, I403) -> f10(I404, I405, I395, I396, I397, I406, I407, I408, I409) [1 <= I404 - 1 /\ 1 <= I405 - 1] 6.34/6.33 f9(I410, I411, I412, I413, I414, I415, I416, I417, I418) -> f10(I419, I420, I410, I411, I421, I422, I423, I424, I425) [1 <= I419 - 1 /\ 1 <= I420 - 1 /\ 0 <= I411 - 1 /\ 0 <= I410 - 1] 6.34/6.33 f9(I426, I427, I428, I429, I430, I431, I432, I433, I434) -> f10(I435, I436, I426, I427, 1, I437, I438, I439, I440) [1 <= I435 - 1 /\ 1 <= I436 - 1 /\ 0 <= I427 - 1 /\ 0 <= I426 - 1] 6.34/6.33 f1(I441, I442, I443, I444, I445, I446, I447, I448, I449) -> f9(I450, I442, I451, I452, I453, I454, I455, I456, I457) [0 <= I441 - 1 /\ 0 <= I442 - 1 /\ -1 <= I450 - 1] 6.34/6.33 f1(I458, I459, I460, I461, I462, I463, I464, I465, I466) -> f9(0, I459, I467, I468, I469, I470, I471, I472, I473) [0 <= I459 - 1 /\ 0 <= I458 - 1] 6.34/6.33 f4(I474, I475, I476, I477, I478, I479, I480, I481, I482) -> f8(I483, I484, I485, I486, I487, I488, I489, I490, I491) [2 <= I483 - 1 /\ 2 <= I475 - 1 /\ 0 <= I474 - 1 /\ I483 <= I475] 6.34/6.33 f2(I492, I493, I494, I495, I496, I497, I498, I499, I500) -> f8(I501, I502, I503, I504, I505, I506, I507, I508, I509) [-1 <= I501 - 1 /\ 0 <= I492 - 1 /\ I493 <= 1 /\ I501 + 1 <= I492] 6.34/6.33 f6(I510, I511, I512, I513, I514, I515, I516, I517, I518) -> f8(I519, I520, I521, I522, I523, I524, I525, I526, I527) [1 <= I519 - 1 /\ 1 <= I511 - 1 /\ 0 <= I510 - 1 /\ I519 <= I511] 6.34/6.33 f7(I528, I529, I530, I531, I532, I533, I534, I535, I536) -> f6(I537, I538, I539, I540, I541, I542, I543, I544, I545) [1 <= I538 - 1 /\ 0 <= I537 - 1 /\ 0 <= I528 - 1 /\ I538 - 1 <= I528 /\ I537 <= I528] 6.34/6.33 f4(I546, I547, I548, I549, I550, I551, I552, I553, I554) -> f6(I555, I556, I557, I558, I559, I560, I561, I562, I563) [3 <= I556 - 1 /\ 0 <= I555 - 1 /\ 3 <= I547 - 1 /\ 0 <= I546 - 1 /\ I556 <= I547 /\ I555 + 3 <= I547 /\ I555 <= I546] 6.34/6.33 f4(I564, I565, I566, I567, I568, I569, I570, I571, I572) -> f6(I573, I574, I575, I576, I577, I578, I579, I580, I581) [4 <= I574 - 1 /\ 0 <= I573 - 1 /\ 4 <= I565 - 1 /\ 0 <= I564 - 1 /\ I574 <= I565 /\ I573 + 4 <= I565 /\ I573 <= I564] 6.34/6.33 f4(I582, I583, I584, I585, I586, I587, I588, I589, I590) -> f6(I591, I592, I593, I594, I595, I596, I597, I598, I599) [1 <= I592 - 1 /\ 0 <= I591 - 1 /\ 1 <= I583 - 1 /\ 0 <= I582 - 1 /\ I592 <= I583 /\ I592 - 1 <= I582 /\ I591 + 1 <= I583 /\ I591 <= I582] 6.34/6.33 f4(I600, I601, I602, I603, I604, I605, I606, I607, I608) -> f3(I609, I610, I611, I612, I613, I614, I615, I616, I617) [0 <= I609 - 1 /\ 0 <= I601 - 1 /\ 0 <= I600 - 1 /\ I609 <= I601] 6.34/6.33 f5(I618, I619, I620, I621, I622, I623, I624, I625, I626) -> f4(I627, I628, I629, I630, I631, I632, I633, I634, I635) [I620 + 2 <= I619 /\ 1 <= I628 - 1 /\ 0 <= I627 - 1 /\ 1 <= I619 - 1 /\ 0 <= I618 - 1 /\ I628 <= I619 /\ I627 + 1 <= I619 /\ I627 <= I618] 6.34/6.33 f1(I636, I637, I638, I639, I640, I641, I642, I643, I644) -> f4(I645, I646, I647, I648, I649, I650, I651, I652, I653) [0 <= I646 - 1 /\ 0 <= I645 - 1 /\ 0 <= I636 - 1 /\ I645 <= I636] 6.34/6.33 f2(I654, I655, I656, I657, I658, I659, I660, I661, I662) -> f3(I663, I664, I665, I666, I667, I668, I669, I670, I671) [-1 <= I663 - 1 /\ 0 <= I654 - 1 /\ I655 <= 1 /\ I663 + 1 <= I654] 6.34/6.33 f1(I672, I673, I674, I675, I676, I677, I678, I679, I680) -> f2(I681, 1, I673, I682, I683, I684, I685, I686, I687) [0 <= I681 - 1 /\ 0 <= I672 - 1 /\ I681 <= I672] 6.34/6.33 f1(I688, I689, I690, I691, I692, I693, I694, I695, I696) -> f2(I697, 0, 0, I698, I699, I700, I701, I702, I703) [0 = I689 /\ 0 <= I697 - 1 /\ 0 <= I688 - 1 /\ I697 <= I688] 6.34/6.33 6.34/9.31 EOF